Subgroups — C₃×#86667 #11910485

Order 1152.

2839 conjugacy classes of subgroups.

The subgroup lattice has 2438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5830	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5829	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×D₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃×#937	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5683	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5678	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5666	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5658	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5657	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5653	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5644	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5637	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5620	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5620	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5617	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5609	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5607	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5605	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5592	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5591	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5590	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5560	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#5560	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5554	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5550	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5495	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5493	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#5490	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃×#882	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3532	—	3	1	no	maximal
33	#86667	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₂⁴×C₃×D₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
51	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
52	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
53	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
55	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
56	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
57	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
58	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
59	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
60	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
63	C₃×#953	C₂²	1	1	yes	characteristic
64	C₃×#953	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
66	C₃×#947	C₂²	1	1	yes	characteristic, complemented
67	C₃×#947	C₂²	1	1	yes	characteristic, complemented
68	C₃×#947	C₂²	1	1	yes	characteristic, complemented
69	C₃×#946	C₂²	1	1	yes	characteristic, complemented
70	C₃×#940	C₂²	1	1	yes	characteristic, complemented
71	C₃×#940	C₂²	1	1	yes	characteristic, complemented
72	C₃×#940	C₂²	1	1	yes	characteristic, complemented
73	C₃×#940	C₂²	1	1	yes	characteristic, complemented
74	C₃×#939	C₂²	1	1	yes	characteristic, complemented
75	C₃×#939	C₂²	1	1	yes	characteristic, complemented
76	C₃×#939	C₂²	1	1	yes	characteristic, complemented
77	C₃×#939	C₂²	1	1	yes	characteristic, complemented
78	C₃×#939	C₂²	1	1	yes	characteristic, complemented
79	C₃×#939	C₂²	1	1	yes	characteristic, complemented
80	C₃×#939	C₂²	1	1	yes	characteristic, complemented
81	C₃×#938	C₂²	1	1	yes	characteristic, complemented
82	C₃×#938	C₂²	1	1	yes	characteristic, complemented
83	C₃×#937	C₂²	1	1	yes	characteristic
84	C₃×#937	C₂²	1	1	yes	characteristic, complemented
85	C₃×#937	C₂²	1	1	yes	characteristic, complemented
86	C₃×#937	C₂²	1	1	yes	characteristic, complemented
87	C₃×#937	C₂²	1	1	yes	characteristic, complemented
88	C₃×#937	C₂²	1	1	yes	characteristic, complemented
89	C₃×#937	C₂²	1	1	yes	characteristic, complemented
90	C₃×#937	C₂²	1	1	yes	characteristic, complemented
91	C₃×#937	C₂²	1	1	yes	characteristic, complemented
92	C₃×#937	C₂²	1	1	yes	characteristic, complemented
93	C₃×#937	C₂²	1	1	yes	characteristic, complemented
94	C₃×#937	C₂²	1	1	yes	characteristic, complemented
95	C₃×#937	C₂²	1	1	yes	characteristic, complemented
96	C₃×#937	C₂²	1	1	yes	characteristic, complemented
97	C₃×#937	C₂²	1	1	yes	characteristic, complemented
98	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
99	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
100	C₃×#930	C₂²	1	1	yes	characteristic, complemented
101	C₃×#930	C₂²	1	1	yes	characteristic, complemented
102	C₃×#930	C₂²	1	1	yes	characteristic, complemented
103	C₃×#930	C₂²	1	1	yes	characteristic, complemented
104	C₃×#930	C₂²	1	1	yes	characteristic, complemented
105	C₃×#930	C₂²	1	1	yes	characteristic, complemented
106	C₃×#930	C₂²	1	1	yes	characteristic, complemented
107	C₃×#930	C₂²	1	1	yes	characteristic, complemented
108	C₃×#929	C₂²	1	1	yes	characteristic, complemented
109	C₃×#929	C₂²	1	1	yes	characteristic, complemented
110	C₃×#929	C₂²	1	1	yes	characteristic, complemented
111	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
112	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
113	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	C₃×#926	C₂²	1	1	yes	characteristic, complemented
120	C₃×#924	C₂²	1	1	yes	characteristic, complemented
121	C₃×#898	C₂²	1	1	yes	characteristic, complemented
122	C₃×#898	C₂²	1	1	yes	characteristic, complemented
123	C₃×#898	C₂²	1	1	yes	characteristic, complemented
124	C₃×#898	C₂²	1	1	yes	characteristic, complemented
125	C₃×#898	C₂²	1	1	yes	characteristic, complemented
126	C₃×#897	C₂²	1	1	yes	characteristic, complemented
127	C₃×#895	C₂²	1	1	yes	characteristic, complemented
128	C₃×#895	C₂²	1	1	yes	characteristic, complemented
129	C₃×#895	C₂²	1	1	yes	characteristic, complemented
130	C₃×#894	C₂²	1	1	yes	characteristic, complemented
131	C₃×#894	C₂²	1	1	yes	characteristic, complemented
132	C₃×#894	C₂²	1	1	yes	characteristic, complemented
133	C₃×#894	C₂²	1	1	yes	characteristic, complemented
134	C₃×#894	C₂²	1	1	yes	characteristic, complemented
135	C₃×#893	C₂²	1	1	yes	characteristic, complemented
136	C₃×#892	C₂²	1	1	yes	characteristic, complemented
137	C₃×#886	C₂²	1	1	yes	characteristic, complemented
138	C₃×#886	C₂²	1	1	yes	characteristic, complemented
139	C₃×#886	C₂²	1	1	yes	characteristic, complemented
140	C₃×#886	C₂²	1	1	yes	characteristic, complemented
141	C₃×#886	C₂²	1	1	yes	characteristic, complemented
142	C₃×#885	C₂²	1	1	yes	characteristic, complemented
143	C₃×#885	C₂²	1	1	yes	characteristic, complemented
144	C₃×#885	C₂²	1	1	yes	characteristic, complemented
145	C₃×#885	C₂²	1	1	yes	characteristic, complemented
146	C₃×#885	C₂²	1	1	yes	characteristic, complemented
147	C₃×#885	C₂²	1	1	yes	characteristic, complemented
148	C₃×#884	C₂²	1	1	yes	characteristic, complemented
149	C₃×#884	C₂²	1	1	yes	characteristic, complemented
150	C₃×#884	C₂²	1	1	yes	characteristic, complemented
151	C₃×#884	C₂²	1	1	yes	characteristic, complemented
152	C₃×#884	C₂²	1	1	yes	characteristic, complemented
153	C₃×#884	C₂²	1	1	yes	characteristic, complemented
154	C₃×#884	C₂²	1	1	yes	characteristic, complemented
155	C₃×#883	C₂²	1	1	yes	characteristic, complemented
156	C₃×#883	C₂²	1	1	yes	characteristic, complemented
157	C₃×#883	C₂²	1	1	yes	characteristic, complemented
158	C₃×#882	C₂²	1	1	yes	characteristic
159	C₃×#882	C₂²	1	1	yes	characteristic, complemented
160	C₃×#882	C₂²	1	1	yes	characteristic, complemented
161	C₃×#882	C₂²	1	1	yes	characteristic, complemented
162	C₃×#882	C₂²	1	1	yes	characteristic, complemented
163	C₃×#882	C₂²	1	1	yes	characteristic, complemented
164	C₃×#882	C₂²	1	1	yes	characteristic, complemented
165	C₃×#882	C₂²	1	1	yes	characteristic, complemented
166	C₃×#882	C₂²	1	1	yes	characteristic, complemented
167	C₃×#882	C₂²	1	1	yes	characteristic, complemented
168	C₃×#882	C₂²	1	1	yes	characteristic, complemented
169	C₃×#882	C₂²	1	1	yes	characteristic, complemented
170	C₃×#882	C₂²	1	1	yes	characteristic, complemented
171	C₃×#882	C₂²	1	1	yes	characteristic, complemented
172	C₃×#882	C₂²	1	1	yes	characteristic, complemented
173	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
177	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
178	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₃×#879	C₂²	1	1	yes	characteristic, complemented
181	C₃×#879	C₂²	1	1	yes	characteristic, complemented
182	C₃×#878	C₂²	1	1	yes	characteristic, complemented
183	C₃×#878	C₂²	1	1	yes	characteristic, complemented
184	C₃×#877	C₂²	1	1	yes	characteristic, complemented
185	C₃×#876	C₂²	1	1	yes	characteristic, complemented
186	C₃×#875	C₂²	1	1	yes	characteristic, complemented
187	C₃×#875	C₂²	1	1	yes	characteristic, complemented
188	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
189	C₃×H(3,𝔽₄)	—	3	1	no	—
190	C₃×#560	—	3	1	no	—
191	C₃×#560	—	3	1	no	—
192	C₃×#560	—	3	1	no	—
193	C₃×#551	—	3	1	no	—
194	C₃×#551	—	3	1	no	—
195	C₃×#551	—	3	1	no	—
196	C₃×#546	—	2	1	no	—
197	C₃×#546	—	3	1	no	—
198	C₃×#546	—	3	1	no	—
199	C₃×#546	—	3	1	no	—
200	C₃×#546	—	3	1	no	—
201	C₃×#546	—	3	1	no	—
202	C₃×#546	D₃	1	1	yes	characteristic, complemented
203	C₃×#546	C₂×C₃	1	1	yes	characteristic, complemented
204	C₃×D₄²	—	3	1	no	—
205	C₃×D₄²	—	3	1	no	—
206	C₃×D₄²	—	3	1	no	—
207	C₃×#538	—	3	1	no	—
208	C₃×#538	—	3	1	no	—
209	C₃×#538	—	3	1	no	—
210	C₃×#538	—	3	1	no	—
211	C₃×#538	—	3	1	no	—
212	C₃×#538	—	3	1	no	—
213	C₃×#535	—	3	1	no	—
214	C₃×#535	—	3	1	no	—
215	C₃×#535	—	3	1	no	—
216	C₃×#534	—	3	1	no	—
217	C₃×#534	—	3	1	no	—
218	C₃×#534	—	3	1	no	—
219	C₂×C₃×#120	—	3	1	no	—
220	C₂×C₃×#120	—	3	1	no	—
221	C₂×C₃×#120	—	3	1	no	—
222	#5830	C₂×C₃	1	1	yes	characteristic, complemented
223	#5829	C₂×C₃	1	1	yes	characteristic, complemented
224	D₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
225	C₂×#937	C₂×C₃	1	1	yes	characteristic, complemented
226	#5683	C₂×C₃	1	1	yes	characteristic, complemented
227	#5678	C₂×C₃	1	1	yes	characteristic, complemented
228	#5666	C₂×C₃	1	1	yes	characteristic, complemented
229	#5658	C₂×C₃	1	1	yes	characteristic, complemented
230	#5657	C₂×C₃	1	1	yes	characteristic, complemented
231	#5653	C₂×C₃	1	1	yes	characteristic, complemented
232	#5644	C₂×C₃	1	1	yes	characteristic, complemented
233	#5637	C₂×C₃	1	1	yes	characteristic, complemented
234	#5620	C₂×C₃	1	1	yes	characteristic, complemented
235	#5620	C₂×C₃	1	1	yes	characteristic, complemented
236	#5617	C₂×C₃	1	1	yes	characteristic, complemented
237	#5609	C₂×C₃	1	1	yes	characteristic, complemented
238	#5607	C₂×C₃	1	1	yes	characteristic, complemented
239	#5605	C₂×C₃	1	1	yes	characteristic, complemented
240	#5592	C₂×C₃	1	1	yes	characteristic, complemented
241	#5591	C₂×C₃	1	1	yes	characteristic, complemented
242	#5590	C₂×C₃	1	1	yes	characteristic, complemented
243	D₃×#120	C₂×C₃	1	1	yes	characteristic, complemented
244	#5560	C₂×C₃	1	1	yes	characteristic, complemented
245	#5560	C₂×C₃	1	1	yes	characteristic, complemented
246	#5554	C₂×C₃	1	1	yes	characteristic, complemented
247	#5550	C₂×C₃	1	1	yes	characteristic, complemented
248	#5495	C₂×C₃	1	1	yes	characteristic, complemented
249	#5493	C₂×C₃	1	1	yes	characteristic, complemented
250	#5490	C₂×C₃	1	1	yes	characteristic, complemented
251	C₂×#882	C₂×C₃	1	1	yes	characteristic, complemented
252	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
253	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
254	C₂³×C₃×D₃	—	4	2	no	—
255	C₂³×C₃×D₃	—	4	2	no	—
256	C₂³×C₃×D₃	—	4	2	no	—
257	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
258	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
259	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
260	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
261	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
262	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
263	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
264	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
265	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic, complemented
266	C₃²×#41	—	4	2	no	—
267	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
268	C₂×C₃²×D₄	—	4	2	no	—
269	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
270	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
271	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
272	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
273	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
274	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
275	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
276	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
277	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
278	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
279	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
280	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
281	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
282	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
283	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
284	C₂×C₃×#67	—	4	2	no	—
285	C₂×C₃×#67	—	4	2	no	—
286	C₂×C₃×#67	—	4	2	no	—
287	C₂×C₃×#67	—	4	2	no	—
288	C₂×C₃×#67	C₂³	1	1	yes	characteristic
289	C₂×C₃×#67	C₂³	1	1	yes	characteristic
290	C₂×C₃×#67	C₂³	1	1	yes	characteristic
291	C₂×C₃×#67	C₂³	1	1	yes	characteristic
292	C₂×C₃×#67	C₂³	1	1	yes	characteristic
293	C₂×C₃×#67	C₂³	1	1	yes	characteristic
294	C₂×C₃×#67	C₂³	1	1	yes	characteristic
295	C₂×C₃×#67	C₂³	1	1	yes	characteristic
296	C₂×C₃×#67	C₂³	1	1	yes	characteristic
297	C₂×C₃×#67	C₂³	1	1	yes	characteristic
298	C₂×C₃×#67	C₂³	1	1	yes	characteristic
299	C₂×C₃×#67	C₂³	1	1	yes	characteristic
300	C₂×C₃×#67	C₂³	1	1	yes	characteristic
301	C₂×C₃×#67	C₂³	1	1	yes	characteristic
302	C₂×C₃×#67	C₂³	1	1	yes	characteristic
303	C₂×C₃×#67	C₂³	1	1	yes	characteristic
304	C₂×C₃×#67	C₂³	1	1	yes	characteristic
305	C₂×C₃×#67	C₂³	1	1	yes	characteristic
306	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
307	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
308	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
309	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
310	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
311	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
312	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
313	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
314	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
315	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic, complemented
316	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic, complemented
317	C₃×#237	—	4	2	no	—
318	C₃×D₃×D₄	—	4	2	no	—
319	C₃×D₃×D₄	—	4	2	no	—
320	C₃×D₃×D₄	—	4	2	no	—
321	C₃×D₃×D₄	—	4	2	no	—
322	C₃×D₃×D₄	—	4	2	no	—
323	C₃×#235	—	4	2	no	—
324	C₂×C₃×D₁₂	—	4	2	no	—
325	C₂×C₃×D₁₂	—	4	2	no	—
326	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
327	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
328	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
329	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
330	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
331	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
332	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
333	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
334	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
335	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
336	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
337	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
338	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
339	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
340	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
341	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
342	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
343	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
344	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
345	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
346	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
347	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
348	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
349	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
350	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
351	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
353	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
354	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
357	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
358	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
359	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
360	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
361	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
362	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
363	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
364	C₃×#217	C₂³	1	1	yes	characteristic
365	C₃×#217	C₂³	1	1	yes	characteristic
366	C₃×#217	C₂³	1	1	yes	characteristic
367	C₃×#217	C₂³	1	1	yes	characteristic
368	C₃×#217	C₂³	1	1	yes	characteristic
369	C₃×#217	C₂³	1	1	yes	characteristic
370	C₃×#217	C₂³	1	1	yes	characteristic
371	C₃×#217	C₂³	1	1	yes	characteristic, complemented
372	C₃×#217	C₂³	1	1	yes	characteristic, complemented
373	C₃×#217	C₂³	1	1	yes	characteristic, complemented
374	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
375	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
376	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
377	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
378	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
379	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
380	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
381	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
382	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
383	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
384	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
385	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
386	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
387	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
388	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
389	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
390	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
391	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
392	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
393	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
394	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
395	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
396	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
397	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
398	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
399	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
400	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
401	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
402	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
403	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
404	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
405	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
406	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
407	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
408	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
409	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
410	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
411	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
412	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
413	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
414	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
415	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
416	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
417	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
418	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
419	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
420	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
421	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
422	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
423	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
424	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
425	#3532	—	3	1	no	Sylow
426	C₂⁵×C₃	—	3	1	no	—
427	C₂⁴×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
428	C₂×C₃×#41	—	2	1	no	—
429	C₂×C₃×#41	—	3	1	no	—
430	C₂×C₃×#41	—	3	1	no	—
431	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
432	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic, complemented
433	C₂²×C₃×D₄	—	2	1	no	—
434	C₂²×C₃×D₄	—	3	1	no	—
435	C₂²×C₃×D₄	—	3	1	no	—
436	C₂²×C₃×D₄	—	3	1	no	—
437	C₂²×C₃×D₄	—	3	1	no	—
438	C₂²×C₃×D₄	—	3	1	no	—
439	C₂²×C₃×D₄	—	3	1	no	—
440	C₂²×C₃×D₄	—	3	1	no	—
441	C₂²×C₃×D₄	—	3	1	no	—
442	C₂²×C₃×D₄	—	3	1	no	—
443	C₂²×C₃×D₄	—	3	1	no	—
444	C₂²×C₃×D₄	—	3	1	no	—
445	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
446	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
447	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
448	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
449	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
450	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
451	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
452	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
453	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
454	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
455	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
456	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
457	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
458	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
459	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
460	C₃×#127	—	3	1	no	—
461	C₃×#127	—	3	1	no	—
462	C₃×#127	—	3	1	no	—
463	C₃×#127	—	3	1	no	—
464	C₃×#126	—	3	1	no	—
465	C₃×#126	—	3	1	no	—
466	C₃×#126	—	3	1	no	—
467	C₃×#126	—	3	1	no	—
468	C₃×#126	—	3	1	no	—
469	C₃×#126	—	3	1	no	—
470	C₃×#126	—	3	1	no	—
471	C₃×#126	—	3	1	no	—
472	C₃×#124	—	2	1	no	—
473	C₃×#124	—	3	1	no	—
474	C₃×#124	—	3	1	no	—
475	C₃×#124	—	3	1	no	—
476	C₃×#124	—	3	1	no	—
477	C₃×#124	—	3	1	no	—
478	C₃×#124	—	3	1	no	—
479	C₃×#124	—	3	1	no	—
480	C₃×#124	—	3	1	no	—
481	C₃×#124	—	3	1	no	—
482	C₃×#124	—	3	1	no	—
483	C₃×#124	—	3	1	no	—
484	C₃×#124	C₂×D₃	1	1	yes	characteristic, complemented
485	C₃×#124	C₂²×C₃	1	1	yes	characteristic, complemented
486	C₃×#123	—	2	1	no	—
487	C₃×#123	—	2	1	no	—
488	C₃×#123	—	3	1	no	—
489	C₃×#123	—	3	1	no	—
490	C₃×#123	—	3	1	no	—
491	C₃×#123	—	3	1	no	—
492	C₃×#123	—	3	1	no	—
493	C₃×#123	—	3	1	no	—
494	C₃×#123	—	3	1	no	—
495	C₃×#123	—	3	1	no	—
496	C₃×#123	—	3	1	no	—
497	C₃×#123	—	3	1	no	—
498	C₃×#123	—	3	1	no	—
499	C₃×#123	—	3	1	no	—
500	C₃×#123	—	3	1	no	—
501	C₃×#123	—	3	1	no	—
502	C₃×#123	—	3	1	no	—
503	C₃×#123	—	3	1	no	—
504	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
505	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
506	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
507	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
508	C₃×C₂²⋊Q₈	—	2	1	no	—
509	C₃×C₂²⋊Q₈	—	3	1	no	—
510	C₃×C₂²⋊Q₈	—	3	1	no	—
511	C₃×C₂²⋊Q₈	—	3	1	no	—
512	C₃×C₂²⋊Q₈	—	3	1	no	—
513	C₃×C₂²⋊Q₈	—	3	1	no	—
514	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
515	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
516	C₃×#121	—	2	1	no	—
517	C₃×#121	—	2	1	no	—
518	C₃×#121	—	2	1	no	—
519	C₃×#121	—	3	1	no	—
520	C₃×#121	—	3	1	no	—
521	C₃×#121	—	3	1	no	—
522	C₃×#121	—	3	1	no	—
523	C₃×#121	—	3	1	no	—
524	C₃×#121	—	3	1	no	—
525	C₃×#121	—	3	1	no	—
526	C₃×#121	—	3	1	no	—
527	C₃×#121	—	3	1	no	—
528	C₃×#121	—	3	1	no	—
529	C₃×#121	—	3	1	no	—
530	C₃×#121	—	3	1	no	—
531	C₃×#121	—	3	1	no	—
532	C₃×#121	—	3	1	no	—
533	C₃×#121	—	3	1	no	—
534	C₃×#121	—	3	1	no	—
535	C₃×#121	—	3	1	no	—
536	C₃×#121	—	3	1	no	—
537	C₃×#121	—	3	1	no	—
538	C₃×#121	—	3	1	no	—
539	C₃×#121	—	3	1	no	—
540	C₃×#121	—	3	1	no	—
541	C₃×#121	—	3	1	no	—
542	C₃×#121	—	3	1	no	—
543	C₃×#121	—	3	1	no	—
544	C₃×#121	—	3	1	no	—
545	C₃×#121	—	3	1	no	—
546	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
547	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
548	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
549	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
550	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
551	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
552	C₃×#120	—	2	1	no	—
553	C₃×#120	—	2	1	no	—
554	C₃×#120	—	3	1	no	—
555	C₃×#120	—	3	1	no	—
556	C₃×#120	—	3	1	no	—
557	C₃×#120	—	3	1	no	—
558	C₃×#120	—	3	1	no	—
559	C₃×#120	—	3	1	no	—
560	C₃×#120	—	3	1	no	—
561	C₃×#120	—	3	1	no	—
562	C₃×#120	—	3	1	no	—
563	C₃×#120	—	3	1	no	—
564	C₃×#120	—	3	1	no	—
565	C₃×#120	—	3	1	no	—
566	C₃×#120	—	3	1	no	—
567	C₃×#120	—	3	1	no	—
568	C₃×#120	—	3	1	no	—
569	C₃×#120	—	3	1	no	—
570	C₃×#120	—	3	1	no	—
571	C₃×#120	—	3	1	no	—
572	C₃×#120	—	3	1	no	—
573	C₃×#120	—	3	1	no	—
574	C₃×#120	—	3	1	no	—
575	C₃×#120	—	3	1	no	—
576	C₃×#120	—	3	1	no	—
577	C₃×#120	—	3	1	no	—
578	C₃×#120	—	3	1	no	—
579	C₃×#120	—	3	1	no	—
580	C₃×#120	—	3	1	no	—
581	C₃×#120	—	3	1	no	—
582	C₃×#120	—	3	1	no	—
583	C₃×#120	—	3	1	no	—
584	C₃×#120	—	3	1	no	—
585	C₃×#120	—	3	1	no	—
586	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
587	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
588	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
589	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
590	C₃×C₄×D₄	—	2	1	no	—
591	C₃×C₄×D₄	—	2	1	no	—
592	C₃×C₄×D₄	—	3	1	no	—
593	C₃×C₄×D₄	—	3	1	no	—
594	C₃×C₄×D₄	—	3	1	no	—
595	C₃×C₄×D₄	—	3	1	no	—
596	C₃×C₄×D₄	—	3	1	no	—
597	C₃×C₄×D₄	—	3	1	no	—
598	C₃×C₄×D₄	—	3	1	no	—
599	C₃×C₄×D₄	—	3	1	no	—
600	C₃×C₄×D₄	—	3	1	no	—
601	C₃×C₄×D₄	—	3	1	no	—
602	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
603	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
604	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
605	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
606	C₃×#117	—	3	1	no	—
607	C₃×#117	—	3	1	no	—
608	C₃×#117	—	3	1	no	—
609	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
610	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
611	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
612	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
613	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
614	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
615	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
616	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
617	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
618	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
619	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
620	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
621	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
622	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
623	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
624	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
625	#953	C₂²×C₃	1	1	yes	characteristic
626	#953	C₂²×C₃	1	1	yes	characteristic, complemented
627	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
628	#947	C₂²×C₃	1	1	yes	characteristic, complemented
629	#947	C₂²×C₃	1	1	yes	characteristic, complemented
630	#947	C₂²×C₃	1	1	yes	characteristic, complemented
631	#946	C₂²×C₃	1	1	yes	characteristic, complemented
632	#940	C₂²×C₃	1	1	yes	characteristic, complemented
633	#940	C₂²×C₃	1	1	yes	characteristic, complemented
634	#940	C₂²×C₃	1	1	yes	characteristic, complemented
635	#940	C₂²×C₃	1	1	yes	characteristic, complemented
636	#939	C₂²×C₃	1	1	yes	characteristic, complemented
637	#939	C₂²×C₃	1	1	yes	characteristic, complemented
638	#939	C₂²×C₃	1	1	yes	characteristic, complemented
639	#939	C₂²×C₃	1	1	yes	characteristic, complemented
640	#939	C₂²×C₃	1	1	yes	characteristic, complemented
641	#939	C₂²×C₃	1	1	yes	characteristic, complemented
642	#939	C₂²×C₃	1	1	yes	characteristic, complemented
643	#938	C₂²×C₃	1	1	yes	characteristic, complemented
644	#938	C₂²×C₃	1	1	yes	characteristic, complemented
645	#937	C₂²×C₃	1	1	yes	characteristic
646	#937	C₂²×C₃	1	1	yes	characteristic, complemented
647	#937	C₂²×C₃	1	1	yes	characteristic, complemented
648	#937	C₂²×C₃	1	1	yes	characteristic, complemented
649	#937	C₂²×C₃	1	1	yes	characteristic, complemented
650	#937	C₂²×C₃	1	1	yes	characteristic, complemented
651	#937	C₂²×C₃	1	1	yes	characteristic, complemented
652	#937	C₂²×C₃	1	1	yes	characteristic, complemented
653	#937	C₂²×C₃	1	1	yes	characteristic, complemented
654	#937	C₂²×C₃	1	1	yes	characteristic, complemented
655	#937	C₂²×C₃	1	1	yes	characteristic, complemented
656	#937	C₂²×C₃	1	1	yes	characteristic, complemented
657	#937	C₂²×C₃	1	1	yes	characteristic, complemented
658	#937	C₂²×C₃	1	1	yes	characteristic, complemented
659	#937	C₂²×C₃	1	1	yes	characteristic, complemented
660	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
661	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
662	#930	C₂²×C₃	1	1	yes	characteristic, complemented
663	#930	C₂²×C₃	1	1	yes	characteristic, complemented
664	#930	C₂²×C₃	1	1	yes	characteristic, complemented
665	#930	C₂²×C₃	1	1	yes	characteristic, complemented
666	#930	C₂²×C₃	1	1	yes	characteristic, complemented
667	#930	C₂²×C₃	1	1	yes	characteristic, complemented
668	#930	C₂²×C₃	1	1	yes	characteristic, complemented
669	#930	C₂²×C₃	1	1	yes	characteristic, complemented
670	#929	C₂²×C₃	1	1	yes	characteristic, complemented
671	#929	C₂²×C₃	1	1	yes	characteristic, complemented
672	#929	C₂²×C₃	1	1	yes	characteristic, complemented
673	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
674	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
675	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
676	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
677	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
678	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
679	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
680	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
681	#926	C₂²×C₃	1	1	yes	characteristic, complemented
682	#924	C₂²×C₃	1	1	yes	characteristic, complemented
683	#898	C₂²×C₃	1	1	yes	characteristic, complemented
684	#898	C₂²×C₃	1	1	yes	characteristic, complemented
685	#898	C₂²×C₃	1	1	yes	characteristic, complemented
686	#898	C₂²×C₃	1	1	yes	characteristic, complemented
687	#898	C₂²×C₃	1	1	yes	characteristic, complemented
688	#897	C₂²×C₃	1	1	yes	characteristic, complemented
689	#895	C₂²×C₃	1	1	yes	characteristic, complemented
690	#895	C₂²×C₃	1	1	yes	characteristic, complemented
691	#895	C₂²×C₃	1	1	yes	characteristic, complemented
692	#894	C₂²×C₃	1	1	yes	characteristic, complemented
693	#894	C₂²×C₃	1	1	yes	characteristic, complemented
694	#894	C₂²×C₃	1	1	yes	characteristic, complemented
695	#894	C₂²×C₃	1	1	yes	characteristic, complemented
696	#894	C₂²×C₃	1	1	yes	characteristic, complemented
697	#893	C₂²×C₃	1	1	yes	characteristic, complemented
698	#892	C₂²×C₃	1	1	yes	characteristic, complemented
699	#886	C₂²×C₃	1	1	yes	characteristic, complemented
700	#886	C₂²×C₃	1	1	yes	characteristic, complemented
701	#886	C₂²×C₃	1	1	yes	characteristic, complemented
702	#886	C₂²×C₃	1	1	yes	characteristic, complemented
703	#886	C₂²×C₃	1	1	yes	characteristic, complemented
704	#885	C₂²×C₃	1	1	yes	characteristic, complemented
705	#885	C₂²×C₃	1	1	yes	characteristic, complemented
706	#885	C₂²×C₃	1	1	yes	characteristic, complemented
707	#885	C₂²×C₃	1	1	yes	characteristic, complemented
708	#885	C₂²×C₃	1	1	yes	characteristic, complemented
709	#885	C₂²×C₃	1	1	yes	characteristic, complemented
710	#884	C₂²×C₃	1	1	yes	characteristic, complemented
711	#884	C₂²×C₃	1	1	yes	characteristic, complemented
712	#884	C₂²×C₃	1	1	yes	characteristic, complemented
713	#884	C₂²×C₃	1	1	yes	characteristic, complemented
714	#884	C₂²×C₃	1	1	yes	characteristic, complemented
715	#884	C₂²×C₃	1	1	yes	characteristic, complemented
716	#884	C₂²×C₃	1	1	yes	characteristic, complemented
717	#883	C₂²×C₃	1	1	yes	characteristic, complemented
718	#883	C₂²×C₃	1	1	yes	characteristic, complemented
719	#883	C₂²×C₃	1	1	yes	characteristic, complemented
720	#882	C₂²×C₃	1	1	yes	characteristic
721	#882	C₂²×C₃	1	1	yes	characteristic, complemented
722	#882	C₂²×C₃	1	1	yes	characteristic, complemented
723	#882	C₂²×C₃	1	1	yes	characteristic, complemented
724	#882	C₂²×C₃	1	1	yes	characteristic, complemented
725	#882	C₂²×C₃	1	1	yes	characteristic, complemented
726	#882	C₂²×C₃	1	1	yes	characteristic, complemented
727	#882	C₂²×C₃	1	1	yes	characteristic, complemented
728	#882	C₂²×C₃	1	1	yes	characteristic, complemented
729	#882	C₂²×C₃	1	1	yes	characteristic, complemented
730	#882	C₂²×C₃	1	1	yes	characteristic, complemented
731	#882	C₂²×C₃	1	1	yes	characteristic, complemented
732	#882	C₂²×C₃	1	1	yes	characteristic, complemented
733	#882	C₂²×C₃	1	1	yes	characteristic, complemented
734	#882	C₂²×C₃	1	1	yes	characteristic, complemented
735	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
736	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
737	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
738	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
739	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
740	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
741	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
742	#879	C₂²×C₃	1	1	yes	characteristic, complemented
743	#879	C₂²×C₃	1	1	yes	characteristic, complemented
744	#878	C₂²×C₃	1	1	yes	characteristic, complemented
745	#878	C₂²×C₃	1	1	yes	characteristic, complemented
746	#877	C₂²×C₃	1	1	yes	characteristic, complemented
747	#876	C₂²×C₃	1	1	yes	characteristic, complemented
748	#875	C₂²×C₃	1	1	yes	characteristic, complemented
749	#875	C₂²×C₃	1	1	yes	characteristic, complemented
750	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
751	C₂³×C₃²	—	2	2	no	—
752	C₂³×C₃²	—	2	2	no	—
753	C₂³×C₃²	—	2	2	no	—
754	C₂³×C₃²	—	4	1	no	—
755	C₂³×C₃²	—	4	1	no	—
756	C₂³×C₃²	—	4	1	no	—
757	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
758	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
759	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
760	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
761	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
762	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
763	C₂²×C₃×D₃	—	2	2	no	—
764	C₂²×C₃×D₃	—	2	2	no	—
765	C₂²×C₃×D₃	—	2	2	no	—
766	C₂²×C₃×D₃	—	2	2	no	—
767	C₂²×C₃×D₃	—	2	2	no	—
768	C₂²×C₃×D₃	—	2	2	no	—
769	C₂²×C₃×D₃	—	2	2	no	—
770	C₂²×C₃×D₃	—	2	2	no	—
771	C₂²×C₃×D₃	—	2	2	no	—
772	C₂²×C₃×D₃	—	4	1	no	—
773	C₂²×C₃×D₃	—	4	1	no	—
774	C₂²×C₃×D₃	—	4	1	no	—
775	C₂²×C₃×D₃	—	4	1	no	—
776	C₂²×C₃×D₃	—	4	1	no	—
777	C₂²×C₃×D₃	—	4	1	no	—
778	C₂²×C₃×D₃	—	4	1	no	—
779	C₂²×C₃×D₃	—	4	1	no	—
780	C₂²×C₃×D₃	—	4	1	no	—
781	C₂²×C₃×D₃	—	4	1	no	—
782	C₂²×C₃×D₃	—	4	1	no	—
783	C₂²×C₃×D₃	—	4	1	no	—
784	C₂²×C₃×D₃	—	4	1	no	—
785	C₂²×C₃×D₃	—	4	1	no	—
786	C₂²×C₃×D₃	—	4	1	no	—
787	C₂²×C₃×D₃	—	4	1	no	—
788	C₂²×C₃×D₃	—	4	1	no	—
789	C₂²×C₃×D₃	—	4	1	no	—
790	C₂²×C₃×D₃	—	4	16	no	—
791	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
792	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
793	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
794	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
795	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
796	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
797	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
798	C₃²×Q₈	—	4	1	no	—
799	C₃²×D₄	—	2	2	no	—
800	C₃²×D₄	—	2	2	no	—
801	C₃²×D₄	—	2	2	no	—
802	C₃²×D₄	—	2	2	no	—
803	C₃²×D₄	—	4	1	no	—
804	C₃²×D₄	—	4	1	no	—
805	C₃²×D₄	—	4	1	no	—
806	C₃²×D₄	—	4	1	no	—
807	C₃²×D₄	—	4	1	no	—
808	C₂×C₃²×C₄	—	2	2	no	—
809	C₂×C₃²×C₄	—	4	1	no	—
810	C₂×C₃²×C₄	—	4	1	no	—
811	C₂×C₃²×C₄	—	4	1	no	—
812	C₂×C₃²×C₄	—	4	1	no	—
813	C₂×C₃²×C₄	—	4	1	no	—
814	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
815	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
816	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
817	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
818	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
819	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
820	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
821	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
822	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
823	C₃×#67	—	2	2	no	—
824	C₃×#67	—	2	2	no	—
825	C₃×#67	—	2	2	no	—
826	C₃×#67	—	2	2	no	—
827	C₃×#67	—	2	2	no	—
828	C₃×#67	—	2	2	no	—
829	C₃×#67	—	4	1	no	—
830	C₃×#67	—	4	1	no	—
831	C₃×#67	—	4	1	no	—
832	C₃×#67	—	4	1	no	—
833	C₃×#67	—	4	1	no	—
834	C₃×#67	—	4	1	no	—
835	C₃×#67	—	4	1	no	—
836	C₃×#67	—	4	1	no	—
837	C₃×#67	—	4	1	no	—
838	C₃×#67	—	4	1	no	—
839	C₃×#67	—	4	1	no	—
840	C₃×#67	—	4	1	no	—
841	C₃×#67	—	4	1	no	—
842	C₃×#67	—	4	1	no	—
843	C₃×#67	—	4	1	no	—
844	C₃×#67	—	4	1	no	—
845	C₃×#67	—	4	1	no	—
846	C₃×#67	—	4	1	no	—
847	C₂×C₃×Dic₃	—	2	2	no	—
848	C₂×C₃×Dic₃	—	4	1	no	—
849	C₂×C₃×Dic₃	—	4	1	no	—
850	C₂×C₃×Dic₃	—	4	1	no	—
851	C₂×C₃×Dic₃	—	4	1	no	—
852	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
853	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
854	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
855	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
856	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
857	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
858	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
859	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
860	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
861	C₃×D₁₂	—	2	2	no	—
862	C₃×D₁₂	—	2	2	no	—
863	C₃×D₁₂	—	4	1	no	—
864	C₃×D₁₂	—	4	1	no	—
865	C₃×D₁₂	—	4	1	no	—
866	C₃×D₁₂	—	4	1	no	—
867	C₃×D₁₂	—	4	1	no	—
868	C₃×D₁₂	—	4	1	no	—
869	C₃×D₁₂	—	4	1	no	—
870	C₃×D₁₂	—	4	1	no	—
871	C₃×D₁₂	—	4	1	no	—
872	C₃×D₁₂	—	4	1	no	—
873	C₃×C₄×D₃	—	2	2	no	—
874	C₃×C₄×D₃	—	4	1	no	—
875	C₃×C₄×D₃	—	4	1	no	—
876	C₃×C₄×D₃	—	4	1	no	—
877	C₃×C₄×D₃	—	4	1	no	—
878	C₃×C₄×D₃	—	4	1	no	—
879	C₃×C₄×D₃	—	4	1	no	—
880	C₃×Dic₆	—	4	1	no	—
881	C₃×Dic₆	—	4	1	no	—
882	H(3,𝔽₄)	—	3	1	no	—
883	#560	—	3	1	no	—
884	#560	—	3	1	no	—
885	#560	—	3	1	no	—
886	#551	—	3	1	no	—
887	#551	—	3	1	no	—
888	#551	—	3	1	no	—
889	#546	—	3	1	no	—
890	#546	—	3	1	no	—
891	#546	—	3	1	no	—
892	#546	—	3	1	no	—
893	#546	—	3	1	no	—
894	#546	C₃×D₃	1	1	yes	characteristic, complemented
895	D₄²	—	3	1	no	—
896	D₄²	—	3	1	no	—
897	D₄²	—	3	1	no	—
898	#538	—	3	1	no	—
899	#538	—	3	1	no	—
900	#538	—	3	1	no	—
901	#538	—	3	1	no	—
902	#538	—	3	1	no	—
903	#538	—	3	1	no	—
904	#535	—	3	1	no	—
905	#535	—	3	1	no	—
906	#535	—	3	1	no	—
907	#534	—	3	1	no	—
908	#534	—	3	1	no	—
909	#534	—	3	1	no	—
910	C₂×#120	—	3	1	no	—
911	C₂×#120	—	3	1	no	—
912	C₂×#120	—	3	1	no	—
913	C₂⁴×C₃	—	2	1	no	—
914	C₂⁴×C₃	—	2	1	no	—
915	C₂⁴×C₃	—	3	1	no	—
916	C₂⁴×C₃	—	3	1	no	—
917	C₂⁴×C₃	—	3	1	no	—
918	C₂⁴×C₃	—	3	1	no	—
919	C₂⁴×C₃	—	3	1	no	—
920	C₂⁴×C₃	—	3	1	no	—
921	C₂⁴×C₃	—	3	1	no	—
922	C₂⁴×C₃	—	3	1	no	—
923	C₂⁴×C₃	—	3	1	no	—
924	C₂⁴×C₃	—	12	2	no	—
925	C₂⁴×C₃	—	12	2	no	—
926	C₂⁴×C₃	—	12	2	no	—
927	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
928	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
929	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
930	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
931	C₂³×D₃	—	4	2	no	—
932	C₂³×D₃	—	4	2	no	—
933	C₂³×D₃	—	4	2	no	—
934	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
935	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
936	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
937	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
938	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
939	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
940	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
941	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
942	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
943	C₃×#41	—	4	2	no	—
944	C₃×#41	—	4	2	no	—
945	C₃×#41	—	4	4	no	—
946	C₃×#41	—	12	2	no	—
947	C₃×#41	—	12	2	no	—
948	C₂×C₃×Q₈	—	2	1	no	—
949	C₂×C₃×Q₈	—	3	1	no	—
950	C₂×C₃×Q₈	—	3	1	no	—
951	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
952	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
953	C₂×C₃×D₄	—	2	1	no	—
954	C₂×C₃×D₄	—	2	1	no	—
955	C₂×C₃×D₄	—	2	1	no	—
956	C₂×C₃×D₄	—	2	1	no	—
957	C₂×C₃×D₄	—	2	1	no	—
958	C₂×C₃×D₄	—	2	1	no	—
959	C₂×C₃×D₄	—	2	1	no	—
960	C₂×C₃×D₄	—	2	1	no	—
961	C₂×C₃×D₄	—	2	1	no	—
962	C₂×C₃×D₄	—	3	1	no	—
963	C₂×C₃×D₄	—	3	1	no	—
964	C₂×C₃×D₄	—	3	1	no	—
965	C₂×C₃×D₄	—	3	1	no	—
966	C₂×C₃×D₄	—	3	1	no	—
967	C₂×C₃×D₄	—	3	1	no	—
968	C₂×C₃×D₄	—	3	1	no	—
969	C₂×C₃×D₄	—	3	1	no	—
970	C₂×C₃×D₄	—	3	1	no	—
971	C₂×C₃×D₄	—	3	1	no	—
972	C₂×C₃×D₄	—	3	1	no	—
973	C₂×C₃×D₄	—	3	1	no	—
974	C₂×C₃×D₄	—	3	1	no	—
975	C₂×C₃×D₄	—	3	1	no	—
976	C₂×C₃×D₄	—	3	1	no	—
977	C₂×C₃×D₄	—	3	1	no	—
978	C₂×C₃×D₄	—	3	1	no	—
979	C₂×C₃×D₄	—	3	1	no	—
980	C₂×C₃×D₄	—	3	1	no	—
981	C₂×C₃×D₄	—	3	1	no	—
982	C₂×C₃×D₄	—	3	1	no	—
983	C₂×C₃×D₄	—	3	1	no	—
984	C₂×C₃×D₄	—	3	1	no	—
985	C₂×C₃×D₄	—	3	1	no	—
986	C₂×C₃×D₄	—	3	1	no	—
987	C₂×C₃×D₄	—	3	1	no	—
988	C₂×C₃×D₄	—	3	1	no	—
989	C₂×C₃×D₄	—	3	1	no	—
990	C₂×C₃×D₄	—	3	1	no	—
991	C₂×C₃×D₄	—	3	1	no	—
992	C₂×C₃×D₄	—	3	1	no	—
993	C₂×C₃×D₄	—	3	1	no	—
994	C₂×C₃×D₄	—	3	1	no	—
995	C₂×C₃×D₄	—	3	1	no	—
996	C₂×C₃×D₄	—	3	1	no	—
997	C₂×C₃×D₄	—	3	1	no	—
998	C₂×C₃×D₄	—	4	2	no	—
999	C₂×C₃×D₄	—	4	2	no	—
1000	C₂×C₃×D₄	—	4	4	no	—
1001	C₂×C₃×D₄	—	12	2	no	—
1002	C₂×C₃×D₄	—	12	2	no	—
1003	C₂×C₃×D₄	—	12	2	no	—
1004	C₂×C₃×D₄	—	12	2	no	—
1005	C₂×C₃×D₄	—	12	2	no	—
1006	C₂×C₃×D₄	—	12	2	no	—
1007	C₂×C₃×D₄	—	12	2	no	—
1008	C₂×C₃×D₄	—	12	2	no	—
1009	C₂×C₃×D₄	—	12	2	no	—
1010	C₂×C₃×D₄	—	12	2	no	—
1011	C₂×C₃×D₄	—	12	2	no	—
1012	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
1013	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
1014	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
1015	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
1016	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
1017	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
1018	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
1019	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
1020	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
1021	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
1022	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
1023	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
1024	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
1025	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
1026	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
1027	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
1028	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
1029	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
1030	C₂²×C₃×C₄	—	2	1	no	—
1031	C₂²×C₃×C₄	—	2	1	no	—
1032	C₂²×C₃×C₄	—	2	1	no	—
1033	C₂²×C₃×C₄	—	2	1	no	—
1034	C₂²×C₃×C₄	—	2	1	no	—
1035	C₂²×C₃×C₄	—	2	1	no	—
1036	C₂²×C₃×C₄	—	3	1	no	—
1037	C₂²×C₃×C₄	—	3	1	no	—
1038	C₂²×C₃×C₄	—	3	1	no	—
1039	C₂²×C₃×C₄	—	3	1	no	—
1040	C₂²×C₃×C₄	—	3	1	no	—
1041	C₂²×C₃×C₄	—	3	1	no	—
1042	C₂²×C₃×C₄	—	3	1	no	—
1043	C₂²×C₃×C₄	—	3	1	no	—
1044	C₂²×C₃×C₄	—	3	1	no	—
1045	C₂²×C₃×C₄	—	3	1	no	—
1046	C₂²×C₃×C₄	—	3	1	no	—
1047	C₂²×C₃×C₄	—	3	1	no	—
1048	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1049	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1050	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1051	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1052	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1053	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1054	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1055	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1056	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1057	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1058	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1059	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1060	C₂×#67	—	4	2	no	—
1061	C₂×#67	—	4	2	no	—
1062	C₂×#67	—	4	2	no	—
1063	C₂×#67	—	4	2	no	—
1064	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1065	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1066	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1067	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1068	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1069	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1070	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1071	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1072	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1073	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1074	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1075	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1076	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1077	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1078	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1079	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1080	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1081	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1082	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
1083	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
1084	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
1085	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
1086	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
1087	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
1088	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1089	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1090	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1091	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1092	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1093	#237	—	4	2	no	—
1094	D₃×D₄	—	4	2	no	—
1095	D₃×D₄	—	4	2	no	—
1096	D₃×D₄	—	4	2	no	—
1097	D₃×D₄	—	4	2	no	—
1098	D₃×D₄	—	4	2	no	—
1099	#235	—	4	2	no	—
1100	C₂×D₁₂	—	4	2	no	—
1101	C₂×D₁₂	—	4	2	no	—
1102	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1103	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1104	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1105	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1106	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1107	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1108	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1109	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1110	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1111	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1112	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1113	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
1114	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1115	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1116	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1117	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1118	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1119	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1120	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1121	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
1122	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
1123	C₃×C₄⋊C₄	—	2	1	no	—
1124	C₃×C₄⋊C₄	—	2	1	no	—
1125	C₃×C₄⋊C₄	—	2	1	no	—
1126	C₃×C₄⋊C₄	—	2	1	no	—
1127	C₃×C₄⋊C₄	—	3	1	no	—
1128	C₃×C₄⋊C₄	—	3	1	no	—
1129	C₃×C₄⋊C₄	—	3	1	no	—
1130	C₃×C₄⋊C₄	—	3	1	no	—
1131	C₃×C₄⋊C₄	—	3	1	no	—
1132	C₃×C₄⋊C₄	—	3	1	no	—
1133	C₃×C₄⋊C₄	—	3	1	no	—
1134	C₃×C₄⋊C₄	—	3	1	no	—
1135	C₃×C₄⋊C₄	—	3	1	no	—
1136	C₃×C₄⋊C₄	—	3	1	no	—
1137	C₃×C₄⋊C₄	—	3	1	no	—
1138	C₃×C₄⋊C₄	—	3	1	no	—
1139	C₃×C₄⋊C₄	—	3	1	no	—
1140	C₃×C₄⋊C₄	—	3	1	no	—
1141	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1142	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1143	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1144	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1145	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1146	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1147	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1148	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1149	C₃×C₂²⋊C₄	—	2	1	no	—
1150	C₃×C₂²⋊C₄	—	2	1	no	—
1151	C₃×C₂²⋊C₄	—	2	1	no	—
1152	C₃×C₂²⋊C₄	—	2	1	no	—
1153	C₃×C₂²⋊C₄	—	2	1	no	—
1154	C₃×C₂²⋊C₄	—	2	1	no	—
1155	C₃×C₂²⋊C₄	—	2	1	no	—
1156	C₃×C₂²⋊C₄	—	2	1	no	—
1157	C₃×C₂²⋊C₄	—	2	1	no	—
1158	C₃×C₂²⋊C₄	—	2	1	no	—
1159	C₃×C₂²⋊C₄	—	2	1	no	—
1160	C₃×C₂²⋊C₄	—	2	1	no	—
1161	C₃×C₂²⋊C₄	—	3	1	no	—
1162	C₃×C₂²⋊C₄	—	3	1	no	—
1163	C₃×C₂²⋊C₄	—	3	1	no	—
1164	C₃×C₂²⋊C₄	—	3	1	no	—
1165	C₃×C₂²⋊C₄	—	3	1	no	—
1166	C₃×C₂²⋊C₄	—	3	1	no	—
1167	C₃×C₂²⋊C₄	—	3	1	no	—
1168	C₃×C₂²⋊C₄	—	3	1	no	—
1169	C₃×C₂²⋊C₄	—	3	1	no	—
1170	C₃×C₂²⋊C₄	—	3	1	no	—
1171	C₃×C₂²⋊C₄	—	3	1	no	—
1172	C₃×C₂²⋊C₄	—	3	1	no	—
1173	C₃×C₂²⋊C₄	—	3	1	no	—
1174	C₃×C₂²⋊C₄	—	3	1	no	—
1175	C₃×C₂²⋊C₄	—	3	1	no	—
1176	C₃×C₂²⋊C₄	—	3	1	no	—
1177	C₃×C₂²⋊C₄	—	3	1	no	—
1178	C₃×C₂²⋊C₄	—	3	1	no	—
1179	C₃×C₂²⋊C₄	—	3	1	no	—
1180	C₃×C₂²⋊C₄	—	3	1	no	—
1181	C₃×C₂²⋊C₄	—	3	1	no	—
1182	C₃×C₂²⋊C₄	—	3	1	no	—
1183	C₃×C₂²⋊C₄	—	3	1	no	—
1184	C₃×C₂²⋊C₄	—	3	1	no	—
1185	C₃×C₂²⋊C₄	—	3	1	no	—
1186	C₃×C₂²⋊C₄	—	3	1	no	—
1187	C₃×C₂²⋊C₄	—	3	1	no	—
1188	C₃×C₂²⋊C₄	—	3	1	no	—
1189	C₃×C₂²⋊C₄	—	3	1	no	—
1190	C₃×C₂²⋊C₄	—	3	1	no	—
1191	C₃×C₂²⋊C₄	—	3	1	no	—
1192	C₃×C₂²⋊C₄	—	3	1	no	—
1193	C₃×C₂²⋊C₄	—	3	1	no	—
1194	C₃×C₂²⋊C₄	—	3	1	no	—
1195	C₃×C₂²⋊C₄	—	3	1	no	—
1196	C₃×C₂²⋊C₄	—	3	1	no	—
1197	C₃×C₂²⋊C₄	—	3	1	no	—
1198	C₃×C₂²⋊C₄	—	3	1	no	—
1199	C₃×C₂²⋊C₄	—	3	1	no	—
1200	C₃×C₂²⋊C₄	—	3	1	no	—
1201	C₃×C₂²⋊C₄	—	3	1	no	—
1202	C₃×C₂²⋊C₄	—	3	1	no	—
1203	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1204	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1205	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1206	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1207	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1208	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1209	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1210	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1211	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1212	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1213	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1214	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1215	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1216	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1217	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1218	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1219	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1220	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1221	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1222	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1223	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1224	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1225	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1226	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1227	C₃×C₄²	—	2	1	no	—
1228	C₃×C₄²	—	3	1	no	—
1229	C₃×C₄²	—	3	1	no	—
1230	C₃×C₄²	—	3	1	no	—
1231	C₃×C₄²	—	3	1	no	—
1232	C₃×C₄²	—	3	1	no	—
1233	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
1234	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
1235	#217	C₂³×C₃	1	1	yes	characteristic
1236	#217	C₂³×C₃	1	1	yes	characteristic
1237	#217	C₂³×C₃	1	1	yes	characteristic
1238	#217	C₂³×C₃	1	1	yes	characteristic
1239	#217	C₂³×C₃	1	1	yes	characteristic
1240	#217	C₂³×C₃	1	1	yes	characteristic
1241	#217	C₂³×C₃	1	1	yes	characteristic
1242	#217	C₂³×C₃	1	1	yes	characteristic, complemented
1243	#217	C₂³×C₃	1	1	yes	characteristic, complemented
1244	#217	C₂³×C₃	1	1	yes	characteristic, complemented
1245	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1246	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1247	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1248	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1249	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1250	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1251	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1252	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1253	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1254	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1255	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1256	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1257	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1258	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1259	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1260	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1261	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1262	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1263	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1264	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1265	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1266	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1267	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1268	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1269	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1270	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1271	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1272	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1273	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1274	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1275	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1276	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1277	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1278	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1279	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1280	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1281	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1282	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1283	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1284	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1285	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1286	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1287	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1288	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1289	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1290	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1291	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1292	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1293	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1294	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1295	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1296	C₂²×C₃²	—	2	1	no	—
1297	C₂²×C₃²	—	2	1	no	—
1298	C₂²×C₃²	—	2	1	no	—
1299	C₂²×C₃²	—	2	1	no	—
1300	C₂²×C₃²	—	2	1	no	—
1301	C₂²×C₃²	—	2	1	no	—
1302	C₂²×C₃²	—	2	1	no	—
1303	C₂²×C₃²	—	2	1	no	—
1304	C₂²×C₃²	—	2	1	no	—
1305	C₂²×C₃²	—	2	1	no	—
1306	C₂²×C₃²	—	2	1	no	—
1307	C₂²×C₃²	—	2	1	no	—
1308	C₂²×C₃²	—	2	1	no	—
1309	C₂²×C₃²	—	2	1	no	—
1310	C₂²×C₃²	—	2	1	no	—
1311	C₂²×C₃²	—	2	1	no	—
1312	C₂²×C₃²	—	4	4	no	—
1313	C₂²×C₃²	—	8	2	no	—
1314	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
1315	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
1316	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1317	C₂×C₃×D₃	—	2	1	no	—
1318	C₂×C₃×D₃	—	2	1	no	—
1319	C₂×C₃×D₃	—	2	1	no	—
1320	C₂×C₃×D₃	—	2	1	no	—
1321	C₂×C₃×D₃	—	2	1	no	—
1322	C₂×C₃×D₃	—	2	1	no	—
1323	C₂×C₃×D₃	—	2	1	no	—
1324	C₂×C₃×D₃	—	2	1	no	—
1325	C₂×C₃×D₃	—	2	1	no	—
1326	C₂×C₃×D₃	—	2	1	no	—
1327	C₂×C₃×D₃	—	2	1	no	—
1328	C₂×C₃×D₃	—	2	1	no	—
1329	C₂×C₃×D₃	—	2	1	no	—
1330	C₂×C₃×D₃	—	2	1	no	—
1331	C₂×C₃×D₃	—	2	1	no	—
1332	C₂×C₃×D₃	—	2	1	no	—
1333	C₂×C₃×D₃	—	2	1	no	—
1334	C₂×C₃×D₃	—	2	1	no	—
1335	C₂×C₃×D₃	—	2	1	no	—
1336	C₂×C₃×D₃	—	2	1	no	—
1337	C₂×C₃×D₃	—	4	4	no	—
1338	C₂×C₃×D₃	—	4	4	no	—
1339	C₂×C₃×D₃	—	4	4	no	—
1340	C₂×C₃×D₃	—	4	4	no	—
1341	C₂×C₃×D₃	—	4	4	no	—
1342	C₂×C₃×D₃	—	4	4	no	—
1343	C₂×C₃×D₃	—	8	2	no	—
1344	C₂×C₃×D₃	—	8	2	no	—
1345	C₂×C₃×D₃	—	8	2	no	—
1346	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
1347	C₃²×C₄	—	2	1	no	—
1348	C₃²×C₄	—	2	1	no	—
1349	C₃²×C₄	—	2	1	no	—
1350	C₃²×C₄	—	2	1	no	—
1351	C₃²×C₄	—	2	1	no	—
1352	C₃²×C₄	—	2	1	no	—
1353	C₃²×C₄	—	2	1	no	—
1354	C₃²×C₄	—	2	1	no	—
1355	C₃²×C₄	—	2	1	no	—
1356	C₃×Dic₃	—	2	1	no	—
1357	C₃×Dic₃	—	2	1	no	—
1358	C₃×Dic₃	—	2	1	no	—
1359	C₃×Dic₃	—	2	1	no	—
1360	C₃×Dic₃	—	2	1	no	—
1361	C₃×Dic₃	—	2	1	no	—
1362	C₃×Dic₃	—	2	1	no	—
1363	C₃×Dic₃	—	2	1	no	—
1364	C₃×Dic₃	—	2	1	no	—
1365	C₂⁵	—	3	1	no	—
1366	C₂×#41	—	3	1	no	—
1367	C₂×#41	—	3	1	no	—
1368	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1369	C₂²×D₄	—	3	1	no	—
1370	C₂²×D₄	—	3	1	no	—
1371	C₂²×D₄	—	3	1	no	—
1372	C₂²×D₄	—	3	1	no	—
1373	C₂²×D₄	—	3	1	no	—
1374	C₂²×D₄	—	3	1	no	—
1375	C₂²×D₄	—	3	1	no	—
1376	C₂²×D₄	—	3	1	no	—
1377	C₂²×D₄	—	3	1	no	—
1378	C₂²×D₄	—	3	1	no	—
1379	C₂²×D₄	—	3	1	no	—
1380	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1381	#127	—	3	1	no	—
1382	#127	—	3	1	no	—
1383	#127	—	3	1	no	—
1384	#127	—	3	1	no	—
1385	#126	—	3	1	no	—
1386	#126	—	3	1	no	—
1387	#126	—	3	1	no	—
1388	#126	—	3	1	no	—
1389	#126	—	3	1	no	—
1390	#126	—	3	1	no	—
1391	#126	—	3	1	no	—
1392	#126	—	3	1	no	—
1393	#124	—	3	1	no	—
1394	#124	—	3	1	no	—
1395	#124	—	3	1	no	—
1396	#124	—	3	1	no	—
1397	#124	—	3	1	no	—
1398	#124	—	3	1	no	—
1399	#124	—	3	1	no	—
1400	#124	—	3	1	no	—
1401	#124	—	3	1	no	—
1402	#124	—	3	1	no	—
1403	#124	—	3	1	no	—
1404	#124	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1405	#123	—	3	1	no	—
1406	#123	—	3	1	no	—
1407	#123	—	3	1	no	—
1408	#123	—	3	1	no	—
1409	#123	—	3	1	no	—
1410	#123	—	3	1	no	—
1411	#123	—	3	1	no	—
1412	#123	—	3	1	no	—
1413	#123	—	3	1	no	—
1414	#123	—	3	1	no	—
1415	#123	—	3	1	no	—
1416	#123	—	3	1	no	—
1417	#123	—	3	1	no	—
1418	#123	—	3	1	no	—
1419	#123	—	3	1	no	—
1420	#123	—	3	1	no	—
1421	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1422	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1423	C₂²⋊Q₈	—	3	1	no	—
1424	C₂²⋊Q₈	—	3	1	no	—
1425	C₂²⋊Q₈	—	3	1	no	—
1426	C₂²⋊Q₈	—	3	1	no	—
1427	C₂²⋊Q₈	—	3	1	no	—
1428	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1429	#121	—	3	1	no	—
1430	#121	—	3	1	no	—
1431	#121	—	3	1	no	—
1432	#121	—	3	1	no	—
1433	#121	—	3	1	no	—
1434	#121	—	3	1	no	—
1435	#121	—	3	1	no	—
1436	#121	—	3	1	no	—
1437	#121	—	3	1	no	—
1438	#121	—	3	1	no	—
1439	#121	—	3	1	no	—
1440	#121	—	3	1	no	—
1441	#121	—	3	1	no	—
1442	#121	—	3	1	no	—
1443	#121	—	3	1	no	—
1444	#121	—	3	1	no	—
1445	#121	—	3	1	no	—
1446	#121	—	3	1	no	—
1447	#121	—	3	1	no	—
1448	#121	—	3	1	no	—
1449	#121	—	3	1	no	—
1450	#121	—	3	1	no	—
1451	#121	—	3	1	no	—
1452	#121	—	3	1	no	—
1453	#121	—	3	1	no	—
1454	#121	—	3	1	no	—
1455	#121	—	3	1	no	—
1456	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1457	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1458	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1459	#120	—	3	1	no	—
1460	#120	—	3	1	no	—
1461	#120	—	3	1	no	—
1462	#120	—	3	1	no	—
1463	#120	—	3	1	no	—
1464	#120	—	3	1	no	—
1465	#120	—	3	1	no	—
1466	#120	—	3	1	no	—
1467	#120	—	3	1	no	—
1468	#120	—	3	1	no	—
1469	#120	—	3	1	no	—
1470	#120	—	3	1	no	—
1471	#120	—	3	1	no	—
1472	#120	—	3	1	no	—
1473	#120	—	3	1	no	—
1474	#120	—	3	1	no	—
1475	#120	—	3	1	no	—
1476	#120	—	3	1	no	—
1477	#120	—	3	1	no	—
1478	#120	—	3	1	no	—
1479	#120	—	3	1	no	—
1480	#120	—	3	1	no	—
1481	#120	—	3	1	no	—
1482	#120	—	3	1	no	—
1483	#120	—	3	1	no	—
1484	#120	—	3	1	no	—
1485	#120	—	3	1	no	—
1486	#120	—	3	1	no	—
1487	#120	—	3	1	no	—
1488	#120	—	3	1	no	—
1489	#120	—	3	1	no	—
1490	#120	—	3	1	no	—
1491	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1492	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1493	C₄×D₄	—	3	1	no	—
1494	C₄×D₄	—	3	1	no	—
1495	C₄×D₄	—	3	1	no	—
1496	C₄×D₄	—	3	1	no	—
1497	C₄×D₄	—	3	1	no	—
1498	C₄×D₄	—	3	1	no	—
1499	C₄×D₄	—	3	1	no	—
1500	C₄×D₄	—	3	1	no	—
1501	C₄×D₄	—	3	1	no	—
1502	C₄×D₄	—	3	1	no	—
1503	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1504	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1505	#117	—	3	1	no	—
1506	#117	—	3	1	no	—
1507	#117	—	3	1	no	—
1508	C₂×C₂²⋊C₄	—	3	1	no	—
1509	C₂×C₂²⋊C₄	—	3	1	no	—
1510	C₂×C₂²⋊C₄	—	3	1	no	—
1511	C₂×C₂²⋊C₄	—	3	1	no	—
1512	C₂×C₂²⋊C₄	—	3	1	no	—
1513	C₂×C₂²⋊C₄	—	3	1	no	—
1514	C₂×C₂²⋊C₄	—	3	1	no	—
1515	C₂×C₂²⋊C₄	—	3	1	no	—
1516	C₂×C₂²⋊C₄	—	3	1	no	—
1517	C₂×C₂²⋊C₄	—	3	1	no	—
1518	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1519	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1520	C₂³×C₃	—	2	2	no	—
1521	C₂³×C₃	—	2	2	no	—
1522	C₂³×C₃	—	2	2	no	—
1523	C₂³×C₃	—	2	2	no	—
1524	C₂³×C₃	—	2	2	no	—
1525	C₂³×C₃	—	2	2	no	—
1526	C₂³×C₃	—	2	1	no	—
1527	C₂³×C₃	—	2	1	no	—
1528	C₂³×C₃	—	2	1	no	—
1529	C₂³×C₃	—	2	1	no	—
1530	C₂³×C₃	—	2	1	no	—
1531	C₂³×C₃	—	2	1	no	—
1532	C₂³×C₃	—	3	1	no	—
1533	C₂³×C₃	—	3	1	no	—
1534	C₂³×C₃	—	3	1	no	—
1535	C₂³×C₃	—	3	1	no	—
1536	C₂³×C₃	—	3	1	no	—
1537	C₂³×C₃	—	3	1	no	—
1538	C₂³×C₃	—	3	1	no	—
1539	C₂³×C₃	—	4	2	no	—
1540	C₂³×C₃	—	4	2	no	—
1541	C₂³×C₃	—	4	2	no	—
1542	C₂³×C₃	—	4	1	no	—
1543	C₂³×C₃	—	4	1	no	—
1544	C₂³×C₃	—	4	1	no	—
1545	C₂³×C₃	—	4	1	no	—
1546	C₂³×C₃	—	4	1	no	—
1547	C₂³×C₃	—	4	1	no	—
1548	C₂³×C₃	—	4	2	no	—
1549	C₂³×C₃	—	6	2	no	—
1550	C₂³×C₃	—	6	2	no	—
1551	C₂³×C₃	—	6	2	no	—
1552	C₂³×C₃	—	6	2	no	—
1553	C₂³×C₃	—	6	2	no	—
1554	C₂³×C₃	—	6	2	no	—
1555	C₂³×C₃	—	6	2	no	—
1556	C₂³×C₃	—	6	2	no	—
1557	C₂³×C₃	—	6	2	no	—
1558	C₂³×C₃	—	8	1	no	—
1559	C₂³×C₃	—	8	1	no	—
1560	C₂³×C₃	—	12	1	no	—
1561	C₂³×C₃	—	12	1	no	—
1562	C₂³×C₃	—	12	1	no	—
1563	C₂³×C₃	—	12	1	no	—
1564	C₂³×C₃	—	12	1	no	—
1565	C₂³×C₃	—	12	1	no	—
1566	C₂³×C₃	—	12	1	no	—
1567	C₂³×C₃	—	12	1	no	—
1568	C₂³×C₃	—	12	1	no	—
1569	C₂³×C₃	—	12	1	no	—
1570	C₂³×C₃	—	12	1	no	—
1571	C₂³×C₃	—	12	1	no	—
1572	C₂³×C₃	—	12	1	no	—
1573	C₂³×C₃	—	12	1	no	—
1574	C₂³×C₃	—	12	1	no	—
1575	C₂³×C₃	—	12	1	no	—
1576	C₂³×C₃	—	12	1	no	—
1577	C₂³×C₃	—	12	1	no	—
1578	C₂³×C₃	—	12	16	no	—
1579	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1580	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1581	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1582	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1583	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1584	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1585	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1586	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1587	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1588	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1589	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1590	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1591	C₂²×D₃	—	2	2	no	—
1592	C₂²×D₃	—	2	2	no	—
1593	C₂²×D₃	—	2	2	no	—
1594	C₂²×D₃	—	2	2	no	—
1595	C₂²×D₃	—	2	2	no	—
1596	C₂²×D₃	—	2	2	no	—
1597	C₂²×D₃	—	2	2	no	—
1598	C₂²×D₃	—	2	2	no	—
1599	C₂²×D₃	—	2	2	no	—
1600	C₂²×D₃	—	4	1	no	—
1601	C₂²×D₃	—	4	1	no	—
1602	C₂²×D₃	—	4	1	no	—
1603	C₂²×D₃	—	4	1	no	—
1604	C₂²×D₃	—	4	1	no	—
1605	C₂²×D₃	—	4	1	no	—
1606	C₂²×D₃	—	4	1	no	—
1607	C₂²×D₃	—	4	1	no	—
1608	C₂²×D₃	—	4	1	no	—
1609	C₂²×D₃	—	4	1	no	—
1610	C₂²×D₃	—	4	1	no	—
1611	C₂²×D₃	—	4	1	no	—
1612	C₂²×D₃	—	4	1	no	—
1613	C₂²×D₃	—	4	1	no	—
1614	C₂²×D₃	—	4	1	no	—
1615	C₂²×D₃	—	4	1	no	—
1616	C₂²×D₃	—	4	1	no	—
1617	C₂²×D₃	—	4	1	no	—
1618	C₂²×D₃	—	4	16	no	—
1619	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1620	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1621	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1622	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1623	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1624	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1625	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1626	C₃×Q₈	—	4	1	no	—
1627	C₃×Q₈	—	4	1	no	—
1628	C₃×Q₈	—	4	2	no	—
1629	C₃×Q₈	—	12	1	no	—
1630	C₃×Q₈	—	12	1	no	—
1631	C₃×D₄	—	2	4	no	—
1632	C₃×D₄	—	2	2	no	—
1633	C₃×D₄	—	2	2	no	—
1634	C₃×D₄	—	2	2	no	—
1635	C₃×D₄	—	2	2	no	—
1636	C₃×D₄	—	2	2	no	—
1637	C₃×D₄	—	2	2	no	—
1638	C₃×D₄	—	2	2	no	—
1639	C₃×D₄	—	2	2	no	—
1640	C₃×D₄	—	4	2	no	—
1641	C₃×D₄	—	4	2	no	—
1642	C₃×D₄	—	4	2	no	—
1643	C₃×D₄	—	4	1	no	—
1644	C₃×D₄	—	4	1	no	—
1645	C₃×D₄	—	4	1	no	—
1646	C₃×D₄	—	4	1	no	—
1647	C₃×D₄	—	4	1	no	—
1648	C₃×D₄	—	4	1	no	—
1649	C₃×D₄	—	4	1	no	—
1650	C₃×D₄	—	4	1	no	—
1651	C₃×D₄	—	4	1	no	—
1652	C₃×D₄	—	4	1	no	—
1653	C₃×D₄	—	4	2	no	—
1654	C₃×D₄	—	4	2	no	—
1655	C₃×D₄	—	4	2	no	—
1656	C₃×D₄	—	6	2	no	—
1657	C₃×D₄	—	6	2	no	—
1658	C₃×D₄	—	6	2	no	—
1659	C₃×D₄	—	6	2	no	—
1660	C₃×D₄	—	6	2	no	—
1661	C₃×D₄	—	6	2	no	—
1662	C₃×D₄	—	6	2	no	—
1663	C₃×D₄	—	6	2	no	—
1664	C₃×D₄	—	8	1	no	—
1665	C₃×D₄	—	8	1	no	—
1666	C₃×D₄	—	12	1	no	—
1667	C₃×D₄	—	12	1	no	—
1668	C₃×D₄	—	12	1	no	—
1669	C₃×D₄	—	12	1	no	—
1670	C₃×D₄	—	12	1	no	—
1671	C₃×D₄	—	12	1	no	—
1672	C₃×D₄	—	12	1	no	—
1673	C₃×D₄	—	12	1	no	—
1674	C₃×D₄	—	12	1	no	—
1675	C₃×D₄	—	12	1	no	—
1676	C₃×D₄	—	12	1	no	—
1677	C₃×D₄	—	12	1	no	—
1678	C₃×D₄	—	12	1	no	—
1679	C₃×D₄	—	12	1	no	—
1680	C₃×D₄	—	12	1	no	—
1681	C₃×D₄	—	12	1	no	—
1682	C₃×D₄	—	12	1	no	—
1683	C₃×D₄	—	12	1	no	—
1684	C₃×D₄	—	12	1	no	—
1685	C₃×D₄	—	12	1	no	—
1686	C₃×D₄	—	12	1	no	—
1687	C₃×D₄	—	12	1	no	—
1688	C₃×D₄	—	12	1	no	—
1689	C₃×D₄	—	12	1	no	—
1690	C₃×D₄	—	12	1	no	—
1691	C₃×D₄	—	12	1	no	—
1692	C₃×D₄	—	12	1	no	—
1693	C₃×D₄	—	12	1	no	—
1694	C₂×C₃×C₄	—	2	2	no	—
1695	C₂×C₃×C₄	—	2	2	no	—
1696	C₂×C₃×C₄	—	2	1	no	—
1697	C₂×C₃×C₄	—	2	1	no	—
1698	C₂×C₃×C₄	—	2	1	no	—
1699	C₂×C₃×C₄	—	2	1	no	—
1700	C₂×C₃×C₄	—	2	1	no	—
1701	C₂×C₃×C₄	—	2	1	no	—
1702	C₂×C₃×C₄	—	2	1	no	—
1703	C₂×C₃×C₄	—	2	1	no	—
1704	C₂×C₃×C₄	—	2	1	no	—
1705	C₂×C₃×C₄	—	3	1	no	—
1706	C₂×C₃×C₄	—	3	1	no	—
1707	C₂×C₃×C₄	—	3	1	no	—
1708	C₂×C₃×C₄	—	3	1	no	—
1709	C₂×C₃×C₄	—	3	1	no	—
1710	C₂×C₃×C₄	—	3	1	no	—
1711	C₂×C₃×C₄	—	3	1	no	—
1712	C₂×C₃×C₄	—	3	1	no	—
1713	C₂×C₃×C₄	—	3	1	no	—
1714	C₂×C₃×C₄	—	4	2	no	—
1715	C₂×C₃×C₄	—	4	1	no	—
1716	C₂×C₃×C₄	—	4	1	no	—
1717	C₂×C₃×C₄	—	4	1	no	—
1718	C₂×C₃×C₄	—	4	1	no	—
1719	C₂×C₃×C₄	—	4	1	no	—
1720	C₂×C₃×C₄	—	4	1	no	—
1721	C₂×C₃×C₄	—	4	1	no	—
1722	C₂×C₃×C₄	—	4	1	no	—
1723	C₂×C₃×C₄	—	4	1	no	—
1724	C₂×C₃×C₄	—	4	1	no	—
1725	C₂×C₃×C₄	—	4	2	no	—
1726	C₂×C₃×C₄	—	4	2	no	—
1727	C₂×C₃×C₄	—	4	2	no	—
1728	C₂×C₃×C₄	—	6	2	no	—
1729	C₂×C₃×C₄	—	6	2	no	—
1730	C₂×C₃×C₄	—	8	1	no	—
1731	C₂×C₃×C₄	—	8	1	no	—
1732	C₂×C₃×C₄	—	12	1	no	—
1733	C₂×C₃×C₄	—	12	1	no	—
1734	C₂×C₃×C₄	—	12	1	no	—
1735	C₂×C₃×C₄	—	12	1	no	—
1736	C₂×C₃×C₄	—	12	1	no	—
1737	C₂×C₃×C₄	—	12	1	no	—
1738	C₂×C₃×C₄	—	12	1	no	—
1739	C₂×C₃×C₄	—	12	1	no	—
1740	C₂×C₃×C₄	—	12	1	no	—
1741	C₂×C₃×C₄	—	12	1	no	—
1742	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1743	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1744	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1745	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1746	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1747	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1748	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1749	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1750	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1751	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1752	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1753	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1754	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1755	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1756	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1757	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1758	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1759	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1760	#67	—	2	2	no	—
1761	#67	—	2	2	no	—
1762	#67	—	2	2	no	—
1763	#67	—	2	2	no	—
1764	#67	—	2	2	no	—
1765	#67	—	2	2	no	—
1766	#67	—	4	1	no	—
1767	#67	—	4	1	no	—
1768	#67	—	4	1	no	—
1769	#67	—	4	1	no	—
1770	#67	—	4	1	no	—
1771	#67	—	4	1	no	—
1772	#67	—	4	1	no	—
1773	#67	—	4	1	no	—
1774	#67	—	4	1	no	—
1775	#67	—	4	1	no	—
1776	#67	—	4	1	no	—
1777	#67	—	4	1	no	—
1778	#67	—	4	1	no	—
1779	#67	—	4	1	no	—
1780	#67	—	4	1	no	—
1781	#67	—	4	1	no	—
1782	#67	—	4	1	no	—
1783	#67	—	4	1	no	—
1784	C₂×Dic₃	—	2	2	no	—
1785	C₂×Dic₃	—	4	1	no	—
1786	C₂×Dic₃	—	4	1	no	—
1787	C₂×Dic₃	—	4	1	no	—
1788	C₂×Dic₃	—	4	1	no	—
1789	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1790	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1791	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1792	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1793	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1794	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1795	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1796	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1797	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1798	D₁₂	—	2	2	no	—
1799	D₁₂	—	2	2	no	—
1800	D₁₂	—	4	1	no	—
1801	D₁₂	—	4	1	no	—
1802	D₁₂	—	4	1	no	—
1803	D₁₂	—	4	1	no	—
1804	D₁₂	—	4	1	no	—
1805	D₁₂	—	4	1	no	—
1806	D₁₂	—	4	1	no	—
1807	D₁₂	—	4	1	no	—
1808	D₁₂	—	4	1	no	—
1809	D₁₂	—	4	1	no	—
1810	C₄×D₃	—	2	2	no	—
1811	C₄×D₃	—	4	1	no	—
1812	C₄×D₃	—	4	1	no	—
1813	C₄×D₃	—	4	1	no	—
1814	C₄×D₃	—	4	1	no	—
1815	C₄×D₃	—	4	1	no	—
1816	C₄×D₃	—	4	1	no	—
1817	Dic₆	—	4	1	no	—
1818	Dic₆	—	4	1	no	—
1819	C₂×C₃²	—	2	2	no	—
1820	C₂×C₃²	—	2	2	no	—
1821	C₂×C₃²	—	4	1	no	—
1822	C₂×C₃²	—	4	1	no	—
1823	C₂×C₃²	—	4	1	no	—
1824	C₂×C₃²	—	4	1	no	—
1825	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1826	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1827	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1828	C₃×D₃	—	2	2	no	—
1829	C₃×D₃	—	4	1	no	—
1830	C₃×D₃	—	4	1	no	—
1831	C₃×D₃	—	4	1	no	—
1832	C₃×D₃	—	4	1	no	—
1833	C₃×D₃	—	4	1	no	—
1834	C₃×D₃	—	4	1	no	—
1835	C₂⁴	—	3	1	no	—
1836	C₂⁴	—	3	1	no	—
1837	C₂⁴	—	3	1	no	—
1838	C₂⁴	—	3	1	no	—
1839	C₂⁴	—	3	1	no	—
1840	C₂⁴	—	3	1	no	—
1841	C₂⁴	—	3	1	no	—
1842	C₂⁴	—	3	1	no	—
1843	C₂⁴	—	3	1	no	—
1844	C₂⁴	—	12	2	no	—
1845	C₂⁴	—	12	2	no	—
1846	C₂⁴	—	12	2	no	—
1847	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1848	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1849	#41	—	4	2	no	—
1850	#41	—	12	2	no	—
1851	#41	—	12	2	no	—
1852	C₂×Q₈	—	3	1	no	—
1853	C₂×Q₈	—	3	1	no	—
1854	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1855	C₂×D₄	—	3	1	no	—
1856	C₂×D₄	—	3	1	no	—
1857	C₂×D₄	—	3	1	no	—
1858	C₂×D₄	—	3	1	no	—
1859	C₂×D₄	—	3	1	no	—
1860	C₂×D₄	—	3	1	no	—
1861	C₂×D₄	—	3	1	no	—
1862	C₂×D₄	—	3	1	no	—
1863	C₂×D₄	—	3	1	no	—
1864	C₂×D₄	—	3	1	no	—
1865	C₂×D₄	—	3	1	no	—
1866	C₂×D₄	—	3	1	no	—
1867	C₂×D₄	—	3	1	no	—
1868	C₂×D₄	—	3	1	no	—
1869	C₂×D₄	—	3	1	no	—
1870	C₂×D₄	—	3	1	no	—
1871	C₂×D₄	—	3	1	no	—
1872	C₂×D₄	—	3	1	no	—
1873	C₂×D₄	—	3	1	no	—
1874	C₂×D₄	—	3	1	no	—
1875	C₂×D₄	—	3	1	no	—
1876	C₂×D₄	—	3	1	no	—
1877	C₂×D₄	—	3	1	no	—
1878	C₂×D₄	—	3	1	no	—
1879	C₂×D₄	—	3	1	no	—
1880	C₂×D₄	—	3	1	no	—
1881	C₂×D₄	—	3	1	no	—
1882	C₂×D₄	—	3	1	no	—
1883	C₂×D₄	—	3	1	no	—
1884	C₂×D₄	—	3	1	no	—
1885	C₂×D₄	—	3	1	no	—
1886	C₂×D₄	—	3	1	no	—
1887	C₂×D₄	—	3	1	no	—
1888	C₂×D₄	—	3	1	no	—
1889	C₂×D₄	—	3	1	no	—
1890	C₂×D₄	—	3	1	no	—
1891	C₂×D₄	—	4	2	no	—
1892	C₂×D₄	—	12	2	no	—
1893	C₂×D₄	—	12	2	no	—
1894	C₂×D₄	—	12	2	no	—
1895	C₂×D₄	—	12	2	no	—
1896	C₂×D₄	—	12	2	no	—
1897	C₂×D₄	—	12	2	no	—
1898	C₂×D₄	—	12	2	no	—
1899	C₂×D₄	—	12	2	no	—
1900	C₂×D₄	—	12	2	no	—
1901	C₂×D₄	—	12	2	no	—
1902	C₂×D₄	—	12	2	no	—
1903	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1904	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1905	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1906	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1907	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1908	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1909	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1910	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1911	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1912	C₂²×C₄	—	3	1	no	—
1913	C₂²×C₄	—	3	1	no	—
1914	C₂²×C₄	—	3	1	no	—
1915	C₂²×C₄	—	3	1	no	—
1916	C₂²×C₄	—	3	1	no	—
1917	C₂²×C₄	—	3	1	no	—
1918	C₂²×C₄	—	3	1	no	—
1919	C₂²×C₄	—	3	1	no	—
1920	C₂²×C₄	—	3	1	no	—
1921	C₂²×C₄	—	3	1	no	—
1922	C₂²×C₄	—	3	1	no	—
1923	C₂²×C₄	—	3	1	no	—
1924	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1925	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1926	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1927	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1928	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1929	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1930	C₄⋊C₄	—	3	1	no	—
1931	C₄⋊C₄	—	3	1	no	—
1932	C₄⋊C₄	—	3	1	no	—
1933	C₄⋊C₄	—	3	1	no	—
1934	C₄⋊C₄	—	3	1	no	—
1935	C₄⋊C₄	—	3	1	no	—
1936	C₄⋊C₄	—	3	1	no	—
1937	C₄⋊C₄	—	3	1	no	—
1938	C₄⋊C₄	—	3	1	no	—
1939	C₄⋊C₄	—	3	1	no	—
1940	C₄⋊C₄	—	3	1	no	—
1941	C₄⋊C₄	—	3	1	no	—
1942	C₄⋊C₄	—	3	1	no	—
1943	C₄⋊C₄	—	3	1	no	—
1944	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1945	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1946	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1947	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1948	C₂²⋊C₄	—	3	1	no	—
1949	C₂²⋊C₄	—	3	1	no	—
1950	C₂²⋊C₄	—	3	1	no	—
1951	C₂²⋊C₄	—	3	1	no	—
1952	C₂²⋊C₄	—	3	1	no	—
1953	C₂²⋊C₄	—	3	1	no	—
1954	C₂²⋊C₄	—	3	1	no	—
1955	C₂²⋊C₄	—	3	1	no	—
1956	C₂²⋊C₄	—	3	1	no	—
1957	C₂²⋊C₄	—	3	1	no	—
1958	C₂²⋊C₄	—	3	1	no	—
1959	C₂²⋊C₄	—	3	1	no	—
1960	C₂²⋊C₄	—	3	1	no	—
1961	C₂²⋊C₄	—	3	1	no	—
1962	C₂²⋊C₄	—	3	1	no	—
1963	C₂²⋊C₄	—	3	1	no	—
1964	C₂²⋊C₄	—	3	1	no	—
1965	C₂²⋊C₄	—	3	1	no	—
1966	C₂²⋊C₄	—	3	1	no	—
1967	C₂²⋊C₄	—	3	1	no	—
1968	C₂²⋊C₄	—	3	1	no	—
1969	C₂²⋊C₄	—	3	1	no	—
1970	C₂²⋊C₄	—	3	1	no	—
1971	C₂²⋊C₄	—	3	1	no	—
1972	C₂²⋊C₄	—	3	1	no	—
1973	C₂²⋊C₄	—	3	1	no	—
1974	C₂²⋊C₄	—	3	1	no	—
1975	C₂²⋊C₄	—	3	1	no	—
1976	C₂²⋊C₄	—	3	1	no	—
1977	C₂²⋊C₄	—	3	1	no	—
1978	C₂²⋊C₄	—	3	1	no	—
1979	C₂²⋊C₄	—	3	1	no	—
1980	C₂²⋊C₄	—	3	1	no	—
1981	C₂²⋊C₄	—	3	1	no	—
1982	C₂²⋊C₄	—	3	1	no	—
1983	C₂²⋊C₄	—	3	1	no	—
1984	C₂²⋊C₄	—	3	1	no	—
1985	C₂²⋊C₄	—	3	1	no	—
1986	C₂²⋊C₄	—	3	1	no	—
1987	C₂²⋊C₄	—	3	1	no	—
1988	C₂²⋊C₄	—	3	1	no	—
1989	C₂²⋊C₄	—	3	1	no	—
1990	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1991	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1992	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1993	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1994	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1995	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1996	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1997	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1998	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1999	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
2000	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
2001	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
2002	C₄²	—	3	1	no	—
2003	C₄²	—	3	1	no	—
2004	C₄²	—	3	1	no	—
2005	C₄²	—	3	1	no	—
2006	C₄²	—	3	1	no	—
2007	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
2008	C₂²×C₃	—	2	1	no	—
2009	C₂²×C₃	—	2	1	no	—
2010	C₂²×C₃	—	2	1	no	—
2011	C₂²×C₃	—	2	1	no	—
2012	C₂²×C₃	—	2	1	no	—
2013	C₂²×C₃	—	2	1	no	—
2014	C₂²×C₃	—	2	1	no	—
2015	C₂²×C₃	—	2	1	no	—
2016	C₂²×C₃	—	2	2	no	—
2017	C₂²×C₃	—	2	1	no	—
2018	C₂²×C₃	—	2	1	no	—
2019	C₂²×C₃	—	2	1	no	—
2020	C₂²×C₃	—	2	1	no	—
2021	C₂²×C₃	—	2	1	no	—
2022	C₂²×C₃	—	2	1	no	—
2023	C₂²×C₃	—	2	1	no	—
2024	C₂²×C₃	—	2	1	no	—
2025	C₂²×C₃	—	2	1	no	—
2026	C₂²×C₃	—	2	1	no	—
2027	C₂²×C₃	—	2	1	no	—
2028	C₂²×C₃	—	2	1	no	—
2029	C₂²×C₃	—	2	1	no	—
2030	C₂²×C₃	—	2	1	no	—
2031	C₂²×C₃	—	2	1	no	—
2032	C₂²×C₃	—	2	1	no	—
2033	C₂²×C₃	—	2	1	no	—
2034	C₂²×C₃	—	2	1	no	—
2035	C₂²×C₃	—	2	1	no	—
2036	C₂²×C₃	—	2	1	no	—
2037	C₂²×C₃	—	2	1	no	—
2038	C₂²×C₃	—	2	1	no	—
2039	C₂²×C₃	—	2	1	no	—
2040	C₂²×C₃	—	2	1	no	—
2041	C₂²×C₃	—	2	2	no	—
2042	C₂²×C₃	—	2	2	no	—
2043	C₂²×C₃	—	2	1	no	—
2044	C₂²×C₃	—	3	2	no	—
2045	C₂²×C₃	—	4	1	no	—
2046	C₂²×C₃	—	4	1	no	—
2047	C₂²×C₃	—	4	1	no	—
2048	C₂²×C₃	—	4	1	no	—
2049	C₂²×C₃	—	4	1	no	—
2050	C₂²×C₃	—	4	1	no	—
2051	C₂²×C₃	—	4	1	no	—
2052	C₂²×C₃	—	4	1	no	—
2053	C₂²×C₃	—	4	1	no	—
2054	C₂²×C₃	—	4	1	no	—
2055	C₂²×C₃	—	4	1	no	—
2056	C₂²×C₃	—	4	1	no	—
2057	C₂²×C₃	—	4	1	no	—
2058	C₂²×C₃	—	4	1	no	—
2059	C₂²×C₃	—	4	1	no	—
2060	C₂²×C₃	—	4	4	no	—
2061	C₂²×C₃	—	4	4	no	—
2062	C₂²×C₃	—	6	1	no	—
2063	C₂²×C₃	—	6	1	no	—
2064	C₂²×C₃	—	6	1	no	—
2065	C₂²×C₃	—	6	1	no	—
2066	C₂²×C₃	—	6	1	no	—
2067	C₂²×C₃	—	6	1	no	—
2068	C₂²×C₃	—	6	1	no	—
2069	C₂²×C₃	—	6	1	no	—
2070	C₂²×C₃	—	6	1	no	—
2071	C₂²×C₃	—	6	1	no	—
2072	C₂²×C₃	—	6	1	no	—
2073	C₂²×C₃	—	6	1	no	—
2074	C₂²×C₃	—	6	1	no	—
2075	C₂²×C₃	—	6	1	no	—
2076	C₂²×C₃	—	6	1	no	—
2077	C₂²×C₃	—	6	1	no	—
2078	C₂²×C₃	—	6	1	no	—
2079	C₂²×C₃	—	6	1	no	—
2080	C₂²×C₃	—	6	1	no	—
2081	C₂²×C₃	—	6	1	no	—
2082	C₂²×C₃	—	8	4	no	—
2083	C₂²×C₃	—	8	2	no	—
2084	C₂²×C₃	—	8	2	no	—
2085	C₂²×C₃	—	8	4	no	—
2086	C₂²×C₃	—	12	4	no	—
2087	C₂²×C₃	—	12	4	no	—
2088	C₂²×C₃	—	12	4	no	—
2089	C₂²×C₃	—	12	4	no	—
2090	C₂²×C₃	—	12	4	no	—
2091	C₂²×C₃	—	12	4	no	—
2092	C₂²×C₃	—	24	2	no	—
2093	C₂²×C₃	—	24	2	no	—
2094	C₂²×C₃	—	24	2	no	—
2095	C₂²×C₃	#1004	1	2	yes	—
2096	C₂²×C₃	#1009	1	2	yes	—
2097	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
2098	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
2099	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
2100	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
2101	C₂×D₃	—	2	1	no	—
2102	C₂×D₃	—	2	1	no	—
2103	C₂×D₃	—	2	1	no	—
2104	C₂×D₃	—	2	1	no	—
2105	C₂×D₃	—	2	1	no	—
2106	C₂×D₃	—	2	1	no	—
2107	C₂×D₃	—	2	1	no	—
2108	C₂×D₃	—	2	1	no	—
2109	C₂×D₃	—	2	1	no	—
2110	C₂×D₃	—	2	1	no	—
2111	C₂×D₃	—	2	1	no	—
2112	C₂×D₃	—	2	1	no	—
2113	C₂×D₃	—	2	1	no	—
2114	C₂×D₃	—	2	1	no	—
2115	C₂×D₃	—	2	1	no	—
2116	C₂×D₃	—	2	1	no	—
2117	C₂×D₃	—	2	1	no	—
2118	C₂×D₃	—	2	1	no	—
2119	C₂×D₃	—	2	1	no	—
2120	C₂×D₃	—	2	1	no	—
2121	C₂×D₃	—	4	4	no	—
2122	C₂×D₃	—	4	4	no	—
2123	C₂×D₃	—	4	4	no	—
2124	C₂×D₃	—	4	4	no	—
2125	C₂×D₃	—	4	4	no	—
2126	C₂×D₃	—	4	4	no	—
2127	C₂×D₃	—	8	2	no	—
2128	C₂×D₃	—	8	2	no	—
2129	C₂×D₃	—	8	2	no	—
2130	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
2131	C₃×C₄	—	2	2	no	—
2132	C₃×C₄	—	2	1	no	—
2133	C₃×C₄	—	2	1	no	—
2134	C₃×C₄	—	2	1	no	—
2135	C₃×C₄	—	2	1	no	—
2136	C₃×C₄	—	2	1	no	—
2137	C₃×C₄	—	2	1	no	—
2138	C₃×C₄	—	2	1	no	—
2139	C₃×C₄	—	2	1	no	—
2140	C₃×C₄	—	2	1	no	—
2141	C₃×C₄	—	2	1	no	—
2142	C₃×C₄	—	2	1	no	—
2143	C₃×C₄	—	2	1	no	—
2144	C₃×C₄	—	2	1	no	—
2145	C₃×C₄	—	2	1	no	—
2146	C₃×C₄	—	2	1	no	—
2147	C₃×C₄	—	2	1	no	—
2148	C₃×C₄	—	2	1	no	—
2149	C₃×C₄	—	2	1	no	—
2150	C₃×C₄	—	4	1	no	—
2151	C₃×C₄	—	4	1	no	—
2152	C₃×C₄	—	4	1	no	—
2153	C₃×C₄	—	4	1	no	—
2154	C₃×C₄	—	4	1	no	—
2155	C₃×C₄	—	4	1	no	—
2156	C₃×C₄	—	4	1	no	—
2157	C₃×C₄	—	4	1	no	—
2158	C₃×C₄	—	6	1	no	—
2159	C₃×C₄	—	6	1	no	—
2160	C₃×C₄	—	6	1	no	—
2161	C₃×C₄	—	6	1	no	—
2162	C₃×C₄	—	6	1	no	—
2163	C₃×C₄	—	6	1	no	—
2164	C₃×C₄	—	6	1	no	—
2165	C₃×C₄	—	6	1	no	—
2166	C₃×C₄	—	6	1	no	—
2167	Dic₃	—	2	1	no	—
2168	Dic₃	—	2	1	no	—
2169	Dic₃	—	2	1	no	—
2170	Dic₃	—	2	1	no	—
2171	Dic₃	—	2	1	no	—
2172	Dic₃	—	2	1	no	—
2173	Dic₃	—	2	1	no	—
2174	Dic₃	—	2	1	no	—
2175	Dic₃	—	2	1	no	—
2176	C₃²	#3532	1	1	yes	characteristic, complemented, Sylow
2177	C₂³	—	2	2	no	—
2178	C₂³	—	2	2	no	—
2179	C₂³	—	2	2	no	—
2180	C₂³	—	3	1	no	—
2181	C₂³	—	3	1	no	—
2182	C₂³	—	3	1	no	—
2183	C₂³	—	3	1	no	—
2184	C₂³	—	3	1	no	—
2185	C₂³	—	3	1	no	—
2186	C₂³	—	3	1	no	—
2187	C₂³	—	4	1	no	—
2188	C₂³	—	4	1	no	—
2189	C₂³	—	4	1	no	—
2190	C₂³	—	6	2	no	—
2191	C₂³	—	6	2	no	—
2192	C₂³	—	6	2	no	—
2193	C₂³	—	6	2	no	—
2194	C₂³	—	6	2	no	—
2195	C₂³	—	6	2	no	—
2196	C₂³	—	6	2	no	—
2197	C₂³	—	6	2	no	—
2198	C₂³	—	6	2	no	—
2199	C₂³	—	12	1	no	—
2200	C₂³	—	12	1	no	—
2201	C₂³	—	12	1	no	—
2202	C₂³	—	12	1	no	—
2203	C₂³	—	12	1	no	—
2204	C₂³	—	12	1	no	—
2205	C₂³	—	12	1	no	—
2206	C₂³	—	12	1	no	—
2207	C₂³	—	12	1	no	—
2208	C₂³	—	12	1	no	—
2209	C₂³	—	12	1	no	—
2210	C₂³	—	12	1	no	—
2211	C₂³	—	12	1	no	—
2212	C₂³	—	12	1	no	—
2213	C₂³	—	12	1	no	—
2214	C₂³	—	12	1	no	—
2215	C₂³	—	12	1	no	—
2216	C₂³	—	12	1	no	—
2217	C₂³	—	12	16	no	—
2218	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2219	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2220	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2221	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2222	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2223	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2224	Q₈	—	4	1	no	—
2225	Q₈	—	12	1	no	—
2226	Q₈	—	12	1	no	—
2227	D₄	—	2	2	no	—
2228	D₄	—	2	2	no	—
2229	D₄	—	2	2	no	—
2230	D₄	—	2	2	no	—
2231	D₄	—	4	1	no	—
2232	D₄	—	4	1	no	—
2233	D₄	—	4	1	no	—
2234	D₄	—	4	1	no	—
2235	D₄	—	4	1	no	—
2236	D₄	—	6	2	no	—
2237	D₄	—	6	2	no	—
2238	D₄	—	6	2	no	—
2239	D₄	—	6	2	no	—
2240	D₄	—	6	2	no	—
2241	D₄	—	6	2	no	—
2242	D₄	—	6	2	no	—
2243	D₄	—	6	2	no	—
2244	D₄	—	12	1	no	—
2245	D₄	—	12	1	no	—
2246	D₄	—	12	1	no	—
2247	D₄	—	12	1	no	—
2248	D₄	—	12	1	no	—
2249	D₄	—	12	1	no	—
2250	D₄	—	12	1	no	—
2251	D₄	—	12	1	no	—
2252	D₄	—	12	1	no	—
2253	D₄	—	12	1	no	—
2254	D₄	—	12	1	no	—
2255	D₄	—	12	1	no	—
2256	D₄	—	12	1	no	—
2257	D₄	—	12	1	no	—
2258	D₄	—	12	1	no	—
2259	D₄	—	12	1	no	—
2260	D₄	—	12	1	no	—
2261	D₄	—	12	1	no	—
2262	D₄	—	12	1	no	—
2263	D₄	—	12	1	no	—
2264	D₄	—	12	1	no	—
2265	D₄	—	12	1	no	—
2266	D₄	—	12	1	no	—
2267	D₄	—	12	1	no	—
2268	D₄	—	12	1	no	—
2269	D₄	—	12	1	no	—
2270	D₄	—	12	1	no	—
2271	D₄	—	12	1	no	—
2272	C₂×C₄	—	2	2	no	—
2273	C₂×C₄	—	3	1	no	—
2274	C₂×C₄	—	3	1	no	—
2275	C₂×C₄	—	3	1	no	—
2276	C₂×C₄	—	3	1	no	—
2277	C₂×C₄	—	3	1	no	—
2278	C₂×C₄	—	3	1	no	—
2279	C₂×C₄	—	3	1	no	—
2280	C₂×C₄	—	3	1	no	—
2281	C₂×C₄	—	3	1	no	—
2282	C₂×C₄	—	4	1	no	—
2283	C₂×C₄	—	4	1	no	—
2284	C₂×C₄	—	4	1	no	—
2285	C₂×C₄	—	4	1	no	—
2286	C₂×C₄	—	4	1	no	—
2287	C₂×C₄	—	6	2	no	—
2288	C₂×C₄	—	6	2	no	—
2289	C₂×C₄	—	12	1	no	—
2290	C₂×C₄	—	12	1	no	—
2291	C₂×C₄	—	12	1	no	—
2292	C₂×C₄	—	12	1	no	—
2293	C₂×C₄	—	12	1	no	—
2294	C₂×C₄	—	12	1	no	—
2295	C₂×C₄	—	12	1	no	—
2296	C₂×C₄	—	12	1	no	—
2297	C₂×C₄	—	12	1	no	—
2298	C₂×C₄	—	12	1	no	—
2299	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2300	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2301	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2302	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2303	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2304	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2305	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2306	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2307	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2308	C₂×C₃	—	2	2	no	—
2309	C₂×C₃	—	2	2	no	—
2310	C₂×C₃	—	2	2	no	—
2311	C₂×C₃	—	2	2	no	—
2312	C₂×C₃	—	2	1	no	—
2313	C₂×C₃	—	2	1	no	—
2314	C₂×C₃	—	2	1	no	—
2315	C₂×C₃	—	4	2	no	—
2316	C₂×C₃	—	4	2	no	—
2317	C₂×C₃	—	4	2	no	—
2318	C₂×C₃	—	4	1	no	—
2319	C₂×C₃	—	4	1	no	—
2320	C₂×C₃	—	4	1	no	—
2321	C₂×C₃	—	4	1	no	—
2322	C₂×C₃	—	4	1	no	—
2323	C₂×C₃	—	4	1	no	—
2324	C₂×C₃	—	4	1	no	—
2325	C₂×C₃	—	4	1	no	—
2326	C₂×C₃	—	6	2	no	—
2327	C₂×C₃	—	8	1	no	—
2328	C₂×C₃	—	8	1	no	—
2329	C₂×C₃	—	8	1	no	—
2330	C₂×C₃	—	12	1	no	—
2331	C₂×C₃	—	12	1	no	—
2332	C₂×C₃	—	12	1	no	—
2333	C₂×C₃	—	12	1	no	—
2334	C₂×C₃	—	12	1	no	—
2335	C₂×C₃	—	12	1	no	—
2336	C₂×C₃	C₂×#1004	1	1	yes	characteristic
2337	C₂×C₃	C₂×#1009	1	1	yes	characteristic
2338	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
2339	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2340	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2341	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2342	D₃	—	2	2	no	—
2343	D₃	—	4	1	no	—
2344	D₃	—	4	1	no	—
2345	D₃	—	4	1	no	—
2346	D₃	—	4	1	no	—
2347	D₃	—	4	1	no	—
2348	D₃	—	4	1	no	—
2349	C₂²	—	2	1	no	—
2350	C₂²	—	2	1	no	—
2351	C₂²	—	2	1	no	—
2352	C₂²	—	2	1	no	—
2353	C₂²	—	2	1	no	—
2354	C₂²	—	2	1	no	—
2355	C₂²	—	2	1	no	—
2356	C₂²	—	2	1	no	—
2357	C₂²	—	2	1	no	—
2358	C₂²	—	2	1	no	—
2359	C₂²	—	2	1	no	—
2360	C₂²	—	2	1	no	—
2361	C₂²	—	2	1	no	—
2362	C₂²	—	2	1	no	—
2363	C₂²	—	2	1	no	—
2364	C₂²	—	2	1	no	—
2365	C₂²	—	3	2	no	—
2366	C₂²	—	4	4	no	—
2367	C₂²	—	6	1	no	—
2368	C₂²	—	6	1	no	—
2369	C₂²	—	6	1	no	—
2370	C₂²	—	6	1	no	—
2371	C₂²	—	6	1	no	—
2372	C₂²	—	6	1	no	—
2373	C₂²	—	6	1	no	—
2374	C₂²	—	6	1	no	—
2375	C₂²	—	6	1	no	—
2376	C₂²	—	6	1	no	—
2377	C₂²	—	6	1	no	—
2378	C₂²	—	6	1	no	—
2379	C₂²	—	6	1	no	—
2380	C₂²	—	6	1	no	—
2381	C₂²	—	6	1	no	—
2382	C₂²	—	6	1	no	—
2383	C₂²	—	6	1	no	—
2384	C₂²	—	6	1	no	—
2385	C₂²	—	6	1	no	—
2386	C₂²	—	6	1	no	—
2387	C₂²	—	8	2	no	—
2388	C₂²	—	12	4	no	—
2389	C₂²	—	12	4	no	—
2390	C₂²	—	12	4	no	—
2391	C₂²	—	12	4	no	—
2392	C₂²	—	12	4	no	—
2393	C₂²	—	12	4	no	—
2394	C₂²	—	24	2	no	—
2395	C₂²	—	24	2	no	—
2396	C₂²	—	24	2	no	—
2397	C₂²	C₃×#1004	1	2	yes	—
2398	C₂²	C₃×#1009	1	2	yes	—
2399	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
2400	C₄	—	2	1	no	—
2401	C₄	—	2	1	no	—
2402	C₄	—	2	1	no	—
2403	C₄	—	2	1	no	—
2404	C₄	—	2	1	no	—
2405	C₄	—	2	1	no	—
2406	C₄	—	2	1	no	—
2407	C₄	—	2	1	no	—
2408	C₄	—	2	1	no	—
2409	C₄	—	6	1	no	—
2410	C₄	—	6	1	no	—
2411	C₄	—	6	1	no	—
2412	C₄	—	6	1	no	—
2413	C₄	—	6	1	no	—
2414	C₄	—	6	1	no	—
2415	C₄	—	6	1	no	—
2416	C₄	—	6	1	no	—
2417	C₄	—	6	1	no	—
2418	C₃	—	2	1	no	—
2419	C₃	#86667	1	1	yes	characteristic, direct product factor
2420	C₃	C₃×#3532	1	1	yes	characteristic, complemented
2421	C₂	—	2	2	no	—
2422	C₂	—	2	2	no	—
2423	C₂	—	4	1	no	—
2424	C₂	—	4	1	no	—
2425	C₂	—	4	1	no	—
2426	C₂	—	4	1	no	—
2427	C₂	—	6	2	no	—
2428	C₂	—	12	1	no	—
2429	C₂	—	12	1	no	—
2430	C₂	—	12	1	no	—
2431	C₂	—	12	1	no	—
2432	C₂	—	12	1	no	—
2433	C₂	—	12	1	no	—
2434	C₂	C₂×C₃×#1004	1	1	yes	characteristic
2435	C₂	C₂×C₃×#1009	1	1	yes	characteristic
2436	C₂	C₃×D₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#546	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#546	D₃
hypocenter	C₃	C₃×#3532
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#546

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₃²×#546	C₂	semidirect
2. C₃×#5830	C₂	semidirect
3. C₃×#5829	C₂	semidirect
4. C₃×D₄×#67	C₂	semidirect
5. C₂×C₃×#937	C₂	semidirect
6. C₃×#5683	C₂	semidirect
7. C₃×#5678	C₂	semidirect
8. C₃×#5666	C₂	semidirect
9. C₃×#5658	C₂	semidirect
10. C₃×#5657	C₂	semidirect
11. C₃×#5653	C₂	semidirect
12. C₃×#5644	C₂	semidirect
13. C₃×#5637	C₂	semidirect
14. C₃×#5620	C₂	semidirect
15. C₃×#5620	C₂	semidirect
16. C₃×#5617	C₂	semidirect
17. C₃×#5609	C₂	semidirect
18. C₃×#5607	C₂	semidirect
19. C₃×#5605	C₂	semidirect
20. C₃×#5592	C₂	semidirect
21. C₃×#5591	C₂	semidirect
22. C₃×#5590	C₂	semidirect
23. C₃×D₃×#120	C₂	semidirect
24. C₃×#5560	C₂	semidirect
25. C₃×#5560	C₂	semidirect
26. C₃×#5554	C₂	semidirect
27. C₃×#5550	C₂	semidirect
28. C₃×#5495	C₂	semidirect
29. C₃×#5493	C₂	semidirect
30. C₃×#5490	C₂	semidirect
31. C₂×C₃×#882	C₂	semidirect
33. #86667	C₃	direct (N × H)
34. C₂⁴×C₃×D₃	C₂²	semidirect
35. C₂×C₃²×#41	C₂²	semidirect
36. C₂²×C₃²×D₄	C₂²	semidirect
37. C₂²×C₃×#67	C₂²	semidirect
38. C₂²×C₃×#67	C₂²	semidirect
39. C₂²×C₃×#67	C₂²	semidirect
40. C₂²×C₃×#67	C₂²	semidirect
41. C₂×C₃×#237	C₂²	semidirect
42. C₂×C₃×D₃×D₄	C₂²	semidirect
43. C₂×C₃×D₃×D₄	C₂²	semidirect
44. C₂×C₃×D₃×D₄	C₂²	semidirect
45. C₂×C₃×D₃×D₄	C₂²	semidirect
46. C₂×C₃×D₃×D₄	C₂²	semidirect
47. C₂×C₃×#235	C₂²	semidirect
48. C₂²×C₃×D₁₂	C₂²	semidirect
49. C₂²×C₃×D₁₂	C₂²	semidirect
50. C₃²×#124	C₂²	semidirect
51. C₃²×#123	C₂²	semidirect
52. C₃²×#123	C₂²	semidirect
53. C₃²×C₂²⋊Q₈	C₂²	semidirect
54. C₃²×#121	C₂²	semidirect
55. C₃²×#121	C₂²	semidirect
56. C₃²×#121	C₂²	semidirect
57. C₃²×#120	C₂²	semidirect
58. C₃²×#120	C₂²	semidirect
59. C₃²×C₄×D₄	C₂²	semidirect
60. C₃²×C₄×D₄	C₂²	semidirect
61. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
62. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
64. C₃×#953	C₂²	semidirect
65. C₂×C₃×#217	C₂²	semidirect
66. C₃×#947	C₂²	semidirect
67. C₃×#947	C₂²	semidirect
68. C₃×#947	C₂²	semidirect
69. C₃×#946	C₂²	semidirect
70. C₃×#940	C₂²	semidirect
71. C₃×#940	C₂²	semidirect
72. C₃×#940	C₂²	semidirect
73. C₃×#940	C₂²	semidirect
74. C₃×#939	C₂²	semidirect
75. C₃×#939	C₂²	semidirect
76. C₃×#939	C₂²	semidirect
77. C₃×#939	C₂²	semidirect
78. C₃×#939	C₂²	semidirect
79. C₃×#939	C₂²	semidirect
80. C₃×#939	C₂²	semidirect
81. C₃×#938	C₂²	semidirect
82. C₃×#938	C₂²	semidirect
84. C₃×#937	C₂²	semidirect
85. C₃×#937	C₂²	semidirect
86. C₃×#937	C₂²	semidirect
87. C₃×#937	C₂²	semidirect
88. C₃×#937	C₂²	semidirect
89. C₃×#937	C₂²	semidirect
90. C₃×#937	C₂²	semidirect
91. C₃×#937	C₂²	semidirect
92. C₃×#937	C₂²	semidirect
93. C₃×#937	C₂²	semidirect
94. C₃×#937	C₂²	semidirect
95. C₃×#937	C₂²	semidirect
96. C₃×#937	C₂²	semidirect
97. C₃×#937	C₂²	semidirect
98. C₃×D₄×Dic₃	C₂²	semidirect
99. C₃×D₄×Dic₃	C₂²	semidirect
100. C₃×#930	C₂²	semidirect
101. C₃×#930	C₂²	semidirect
102. C₃×#930	C₂²	semidirect
103. C₃×#930	C₂²	semidirect
104. C₃×#930	C₂²	semidirect
105. C₃×#930	C₂²	semidirect
106. C₃×#930	C₂²	semidirect
107. C₃×#930	C₂²	semidirect
108. C₃×#929	C₂²	semidirect
109. C₃×#929	C₂²	semidirect
110. C₃×#929	C₂²	semidirect
111. C₃×C₄×#67	C₂²	semidirect
112. C₃×C₄×#67	C₂²	semidirect
113. C₃×C₄×#67	C₂²	semidirect
114. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
115. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
116. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
117. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
118. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
119. C₃×#926	C₂²	semidirect
120. C₃×#924	C₂²	semidirect
121. C₃×#898	C₂²	semidirect
122. C₃×#898	C₂²	semidirect
123. C₃×#898	C₂²	semidirect
124. C₃×#898	C₂²	semidirect
125. C₃×#898	C₂²	semidirect
126. C₃×#897	C₂²	semidirect
127. C₃×#895	C₂²	semidirect
128. C₃×#895	C₂²	semidirect
129. C₃×#895	C₂²	semidirect
130. C₃×#894	C₂²	semidirect
131. C₃×#894	C₂²	semidirect
132. C₃×#894	C₂²	semidirect
133. C₃×#894	C₂²	semidirect
134. C₃×#894	C₂²	semidirect
135. C₃×#893	C₂²	semidirect
136. C₃×#892	C₂²	semidirect
137. C₃×#886	C₂²	semidirect
138. C₃×#886	C₂²	semidirect
139. C₃×#886	C₂²	semidirect
140. C₃×#886	C₂²	semidirect
141. C₃×#886	C₂²	semidirect
142. C₃×#885	C₂²	semidirect
143. C₃×#885	C₂²	semidirect
144. C₃×#885	C₂²	semidirect
145. C₃×#885	C₂²	semidirect
146. C₃×#885	C₂²	semidirect
147. C₃×#885	C₂²	semidirect
148. C₃×#884	C₂²	semidirect
149. C₃×#884	C₂²	semidirect
150. C₃×#884	C₂²	semidirect
151. C₃×#884	C₂²	semidirect
152. C₃×#884	C₂²	semidirect
153. C₃×#884	C₂²	semidirect
154. C₃×#884	C₂²	semidirect
155. C₃×#883	C₂²	semidirect
156. C₃×#883	C₂²	semidirect
157. C₃×#883	C₂²	semidirect
159. C₃×#882	C₂²	semidirect
160. C₃×#882	C₂²	semidirect
161. C₃×#882	C₂²	semidirect
162. C₃×#882	C₂²	semidirect
163. C₃×#882	C₂²	semidirect
164. C₃×#882	C₂²	semidirect
165. C₃×#882	C₂²	semidirect
166. C₃×#882	C₂²	semidirect
167. C₃×#882	C₂²	semidirect
168. C₃×#882	C₂²	semidirect
169. C₃×#882	C₂²	semidirect
170. C₃×#882	C₂²	semidirect
171. C₃×#882	C₂²	semidirect
172. C₃×#882	C₂²	semidirect
173. C₃×#67⋊C₄	C₂²	semidirect
174. C₃×#67⋊C₄	C₂²	semidirect
175. C₃×#67⋊C₄	C₂²	semidirect
176. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
177. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
178. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
179. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
180. C₃×#879	C₂²	semidirect
181. C₃×#879	C₂²	semidirect
182. C₃×#878	C₂²	semidirect
183. C₃×#878	C₂²	semidirect
184. C₃×#877	C₂²	semidirect
185. C₃×#876	C₂²	semidirect
186. C₃×#875	C₂²	semidirect
187. C₃×#875	C₂²	semidirect
188. C₃×C₄×D₁₂	C₂²	semidirect
202. C₃×#546	D₃	semidirect
203. C₃×#546	C₂×C₃	semidirect
222. #5830	C₂×C₃	semidirect
223. #5829	C₂×C₃	semidirect
224. D₄×#67	C₂×C₃	semidirect
225. C₂×#937	C₂×C₃	semidirect
226. #5683	C₂×C₃	semidirect
227. #5678	C₂×C₃	semidirect
228. #5666	C₂×C₃	semidirect
229. #5658	C₂×C₃	semidirect
230. #5657	C₂×C₃	semidirect
231. #5653	C₂×C₃	semidirect
232. #5644	C₂×C₃	semidirect
233. #5637	C₂×C₃	semidirect
234. #5620	C₂×C₃	semidirect
235. #5620	C₂×C₃	semidirect
236. #5617	C₂×C₃	semidirect
237. #5609	C₂×C₃	semidirect
238. #5607	C₂×C₃	semidirect
239. #5605	C₂×C₃	semidirect
240. #5592	C₂×C₃	semidirect
241. #5591	C₂×C₃	semidirect
242. #5590	C₂×C₃	semidirect
243. D₃×#120	C₂×C₃	semidirect
244. #5560	C₂×C₃	semidirect
245. #5560	C₂×C₃	semidirect
246. #5554	C₂×C₃	semidirect
247. #5550	C₂×C₃	semidirect
248. #5495	C₂×C₃	semidirect
249. #5493	C₂×C₃	semidirect
250. #5490	C₂×C₃	semidirect
251. C₂×#882	C₂×C₃	semidirect
265. C₂³×C₃×D₃	C₂³	semidirect
267. C₂×C₃²×Q₈	C₂³	semidirect
276. C₂×C₃²×D₄	C₂³	semidirect
277. C₂×C₃²×D₄	C₂³	semidirect
281. C₂²×C₃²×C₄	C₂³	semidirect
282. C₂²×C₃²×C₄	C₂³	semidirect
283. C₂²×C₃²×C₄	C₂³	semidirect
306. C₂×C₃×#67	C₂³	semidirect
307. C₂×C₃×#67	C₂³	semidirect
308. C₂×C₃×#67	C₂³	semidirect
309. C₂×C₃×#67	C₂³	semidirect
310. C₂×C₃×#67	C₂³	semidirect
311. C₂×C₃×#67	C₂³	semidirect
315. C₂²×C₃×Dic₃	C₂³	semidirect
316. C₂²×C₃×Dic₃	C₂³	semidirect
337. C₂×C₃×D₁₂	C₂³	semidirect
341. C₂×C₃×C₄×D₃	C₂³	semidirect
342. C₂×C₃×C₄×D₃	C₂³	semidirect
343. C₂×C₃×C₄×D₃	C₂³	semidirect
344. C₂×C₃×C₄×D₃	C₂³	semidirect
345. C₂×C₃×Dic₆	C₂³	semidirect
346. C₂×C₃×Dic₆	C₂³	semidirect
347. C₃²×C₄⋊C₄	C₂³	semidirect
348. C₃²×C₄⋊C₄	C₂³	semidirect
349. C₃²×C₄⋊C₄	C₂³	semidirect
350. C₃²×C₄⋊C₄	C₂³	semidirect
358. C₃²×C₂²⋊C₄	C₂³	semidirect
359. C₃²×C₂²⋊C₄	C₂³	semidirect
360. C₃²×C₂²⋊C₄	C₂³	semidirect
361. C₃²×C₂²⋊C₄	C₂³	semidirect
362. C₃²×C₂²⋊C₄	C₂³	semidirect
363. C₃²×C₄²	C₂³	semidirect
371. C₃×#217	C₂³	semidirect
372. C₃×#217	C₂³	semidirect
373. C₃×#217	C₂³	semidirect
396. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
397. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
398. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
399. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
400. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
401. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
402. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
403. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
404. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
405. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
406. C₃×C₄⋊Dic₃	C₂³	semidirect
407. C₃×C₄⋊Dic₃	C₂³	semidirect
408. C₃×C₄⋊Dic₃	C₂³	semidirect
409. C₃×C₄⋊Dic₃	C₂³	semidirect
410. C₃×C₄⋊Dic₃	C₂³	semidirect
411. C₃×C₄⋊Dic₃	C₂³	semidirect
412. C₃×Dic₃⋊C₄	C₂³	semidirect
413. C₃×Dic₃⋊C₄	C₂³	semidirect
414. C₃×Dic₃⋊C₄	C₂³	semidirect
415. C₃×Dic₃⋊C₄	C₂³	semidirect
416. C₃×Dic₃⋊C₄	C₂³	semidirect
417. C₃×Dic₃⋊C₄	C₂³	semidirect
418. C₃×Dic₃⋊C₄	C₂³	semidirect
419. C₃×Dic₃⋊C₄	C₂³	semidirect
420. C₃×C₄×Dic₃	C₂³	semidirect
421. C₃×C₄×Dic₃	C₂³	semidirect
422. C₃×C₄×Dic₃	C₂³	semidirect
423. C₃×C₄×Dic₃	C₂³	semidirect
424. C₃×C₄×Dic₃	C₂³	semidirect
427. C₂⁴×D₃	C₂²×C₃	semidirect
431. C₂×C₃×#41	C₂×D₃	semidirect
432. C₂×C₃×#41	C₂²×C₃	semidirect
445. C₂²×C₃×D₄	C₂×D₃	semidirect
446. C₂²×C₃×D₄	C₂²×C₃	semidirect
447. C₂²×#67	C₂²×C₃	semidirect
448. C₂²×#67	C₂²×C₃	semidirect
449. C₂²×#67	C₂²×C₃	semidirect
450. C₂²×#67	C₂²×C₃	semidirect
451. C₂×#237	C₂²×C₃	semidirect
452. C₂×D₃×D₄	C₂²×C₃	semidirect
453. C₂×D₃×D₄	C₂²×C₃	semidirect
454. C₂×D₃×D₄	C₂²×C₃	semidirect
455. C₂×D₃×D₄	C₂²×C₃	semidirect
456. C₂×D₃×D₄	C₂²×C₃	semidirect
457. C₂×#235	C₂²×C₃	semidirect
458. C₂²×D₁₂	C₂²×C₃	semidirect
459. C₂²×D₁₂	C₂²×C₃	semidirect
484. C₃×#124	C₂×D₃	semidirect
485. C₃×#124	C₂²×C₃	semidirect
504. C₃×#123	C₂×D₃	semidirect
505. C₃×#123	C₂×D₃	semidirect
506. C₃×#123	C₂²×C₃	semidirect
507. C₃×#123	C₂²×C₃	semidirect
514. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
515. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
546. C₃×#121	C₂×D₃	semidirect
547. C₃×#121	C₂×D₃	semidirect
548. C₃×#121	C₂×D₃	semidirect
549. C₃×#121	C₂²×C₃	semidirect
550. C₃×#121	C₂²×C₃	semidirect
551. C₃×#121	C₂²×C₃	semidirect
586. C₃×#120	C₂×D₃	semidirect
587. C₃×#120	C₂×D₃	semidirect
588. C₃×#120	C₂²×C₃	semidirect
589. C₃×#120	C₂²×C₃	semidirect
602. C₃×C₄×D₄	C₂×D₃	semidirect
603. C₃×C₄×D₄	C₂×D₃	semidirect
604. C₃×C₄×D₄	C₂²×C₃	semidirect
605. C₃×C₄×D₄	C₂²×C₃	semidirect
621. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
622. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
623. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
624. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
626. #953	C₂²×C₃	semidirect
627. C₂×#217	C₂²×C₃	semidirect
628. #947	C₂²×C₃	semidirect
629. #947	C₂²×C₃	semidirect
630. #947	C₂²×C₃	semidirect
631. #946	C₂²×C₃	semidirect
632. #940	C₂²×C₃	semidirect
633. #940	C₂²×C₃	semidirect
634. #940	C₂²×C₃	semidirect
635. #940	C₂²×C₃	semidirect
636. #939	C₂²×C₃	semidirect
637. #939	C₂²×C₃	semidirect
638. #939	C₂²×C₃	semidirect
639. #939	C₂²×C₃	semidirect
640. #939	C₂²×C₃	semidirect
641. #939	C₂²×C₃	semidirect
642. #939	C₂²×C₃	semidirect
643. #938	C₂²×C₃	semidirect
644. #938	C₂²×C₃	semidirect
646. #937	C₂²×C₃	semidirect
647. #937	C₂²×C₃	semidirect
648. #937	C₂²×C₃	semidirect
649. #937	C₂²×C₃	semidirect
650. #937	C₂²×C₃	semidirect
651. #937	C₂²×C₃	semidirect
652. #937	C₂²×C₃	semidirect
653. #937	C₂²×C₃	semidirect
654. #937	C₂²×C₃	semidirect
655. #937	C₂²×C₃	semidirect
656. #937	C₂²×C₃	semidirect
657. #937	C₂²×C₃	semidirect
658. #937	C₂²×C₃	semidirect
659. #937	C₂²×C₃	semidirect
660. D₄×Dic₃	C₂²×C₃	semidirect
661. D₄×Dic₃	C₂²×C₃	semidirect
662. #930	C₂²×C₃	semidirect
663. #930	C₂²×C₃	semidirect
664. #930	C₂²×C₃	semidirect
665. #930	C₂²×C₃	semidirect
666. #930	C₂²×C₃	semidirect
667. #930	C₂²×C₃	semidirect
668. #930	C₂²×C₃	semidirect
669. #930	C₂²×C₃	semidirect
670. #929	C₂²×C₃	semidirect
671. #929	C₂²×C₃	semidirect
672. #929	C₂²×C₃	semidirect
673. C₄×#67	C₂²×C₃	semidirect
674. C₄×#67	C₂²×C₃	semidirect
675. C₄×#67	C₂²×C₃	semidirect
676. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
677. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
678. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
679. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
680. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
681. #926	C₂²×C₃	semidirect
682. #924	C₂²×C₃	semidirect
683. #898	C₂²×C₃	semidirect
684. #898	C₂²×C₃	semidirect
685. #898	C₂²×C₃	semidirect
686. #898	C₂²×C₃	semidirect
687. #898	C₂²×C₃	semidirect
688. #897	C₂²×C₃	semidirect
689. #895	C₂²×C₃	semidirect
690. #895	C₂²×C₃	semidirect
691. #895	C₂²×C₃	semidirect
692. #894	C₂²×C₃	semidirect
693. #894	C₂²×C₃	semidirect
694. #894	C₂²×C₃	semidirect
695. #894	C₂²×C₃	semidirect
696. #894	C₂²×C₃	semidirect
697. #893	C₂²×C₃	semidirect
698. #892	C₂²×C₃	semidirect
699. #886	C₂²×C₃	semidirect
700. #886	C₂²×C₃	semidirect
701. #886	C₂²×C₃	semidirect
702. #886	C₂²×C₃	semidirect
703. #886	C₂²×C₃	semidirect
704. #885	C₂²×C₃	semidirect
705. #885	C₂²×C₃	semidirect
706. #885	C₂²×C₃	semidirect
707. #885	C₂²×C₃	semidirect
708. #885	C₂²×C₃	semidirect
709. #885	C₂²×C₃	semidirect
710. #884	C₂²×C₃	semidirect
711. #884	C₂²×C₃	semidirect
712. #884	C₂²×C₃	semidirect
713. #884	C₂²×C₃	semidirect
714. #884	C₂²×C₃	semidirect
715. #884	C₂²×C₃	semidirect
716. #884	C₂²×C₃	semidirect
717. #883	C₂²×C₃	semidirect
718. #883	C₂²×C₃	semidirect
719. #883	C₂²×C₃	semidirect
721. #882	C₂²×C₃	semidirect
722. #882	C₂²×C₃	semidirect
723. #882	C₂²×C₃	semidirect
724. #882	C₂²×C₃	semidirect
725. #882	C₂²×C₃	semidirect
726. #882	C₂²×C₃	semidirect
727. #882	C₂²×C₃	semidirect
728. #882	C₂²×C₃	semidirect
729. #882	C₂²×C₃	semidirect
730. #882	C₂²×C₃	semidirect
731. #882	C₂²×C₃	semidirect
732. #882	C₂²×C₃	semidirect
733. #882	C₂²×C₃	semidirect
734. #882	C₂²×C₃	semidirect
735. #67⋊C₄	C₂²×C₃	semidirect
736. #67⋊C₄	C₂²×C₃	semidirect
737. #67⋊C₄	C₂²×C₃	semidirect
738. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
739. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
740. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
741. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
742. #879	C₂²×C₃	semidirect
743. #879	C₂²×C₃	semidirect
744. #878	C₂²×C₃	semidirect
745. #878	C₂²×C₃	semidirect
746. #877	C₂²×C₃	semidirect
747. #876	C₂²×C₃	semidirect
748. #875	C₂²×C₃	semidirect
749. #875	C₂²×C₃	semidirect
750. C₄×D₁₂	C₂²×C₃	semidirect
894. #546	C₃×D₃	semidirect
942. C₂³×D₃	C₂³×C₃	semidirect
951. C₂×C₃×Q₈	C₂²×D₃	semidirect
952. C₂×C₃×Q₈	C₂³×C₃	semidirect
1019. C₂×C₃×D₄	C₂²×D₃	semidirect
1020. C₂×C₃×D₄	C₂²×D₃	semidirect
1028. C₂×C₃×D₄	C₂³×C₃	semidirect
1029. C₂×C₃×D₄	C₂³×C₃	semidirect
1051. C₂²×C₃×C₄	C₂²×D₃	semidirect
1052. C₂²×C₃×C₄	C₂²×D₃	semidirect
1053. C₂²×C₃×C₄	C₂²×D₃	semidirect
1057. C₂²×C₃×C₄	C₂³×C₃	semidirect
1058. C₂²×C₃×C₄	C₂³×C₃	semidirect
1059. C₂²×C₃×C₄	C₂³×C₃	semidirect
1082. C₂×#67	C₂³×C₃	semidirect
1083. C₂×#67	C₂³×C₃	semidirect
1084. C₂×#67	C₂³×C₃	semidirect
1085. C₂×#67	C₂³×C₃	semidirect
1086. C₂×#67	C₂³×C₃	semidirect
1087. C₂×#67	C₂³×C₃	semidirect
1091. C₂²×Dic₃	C₂³×C₃	semidirect
1092. C₂²×Dic₃	C₂³×C₃	semidirect
1113. C₂×D₁₂	C₂³×C₃	semidirect
1117. C₂×C₄×D₃	C₂³×C₃	semidirect
1118. C₂×C₄×D₃	C₂³×C₃	semidirect
1119. C₂×C₄×D₃	C₂³×C₃	semidirect
1120. C₂×C₄×D₃	C₂³×C₃	semidirect
1121. C₂×Dic₆	C₂³×C₃	semidirect
1122. C₂×Dic₆	C₂³×C₃	semidirect
1141. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1142. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1143. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1144. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1145. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1146. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1147. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1148. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1210. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
1211. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
1212. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
1213. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
1214. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
1222. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
1223. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
1224. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
1225. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
1226. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
1233. C₃×C₄²	C₂²×D₃	semidirect
1234. C₃×C₄²	C₂³×C₃	semidirect
1242. #217	C₂³×C₃	semidirect
1243. #217	C₂³×C₃	semidirect
1244. #217	C₂³×C₃	semidirect
1267. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1268. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1269. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1270. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1271. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1272. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1273. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1274. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1275. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1276. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1277. C₄⋊Dic₃	C₂³×C₃	semidirect
1278. C₄⋊Dic₃	C₂³×C₃	semidirect
1279. C₄⋊Dic₃	C₂³×C₃	semidirect
1280. C₄⋊Dic₃	C₂³×C₃	semidirect
1281. C₄⋊Dic₃	C₂³×C₃	semidirect
1282. C₄⋊Dic₃	C₂³×C₃	semidirect
1283. Dic₃⋊C₄	C₂³×C₃	semidirect
1284. Dic₃⋊C₄	C₂³×C₃	semidirect
1285. Dic₃⋊C₄	C₂³×C₃	semidirect
1286. Dic₃⋊C₄	C₂³×C₃	semidirect
1287. Dic₃⋊C₄	C₂³×C₃	semidirect
1288. Dic₃⋊C₄	C₂³×C₃	semidirect
1289. Dic₃⋊C₄	C₂³×C₃	semidirect
1290. Dic₃⋊C₄	C₂³×C₃	semidirect
1291. C₄×Dic₃	C₂³×C₃	semidirect
1292. C₄×Dic₃	C₂³×C₃	semidirect
1293. C₄×Dic₃	C₂³×C₃	semidirect
1294. C₄×Dic₃	C₂³×C₃	semidirect
1295. C₄×Dic₃	C₂³×C₃	semidirect
1368. C₂×#41	C₂×C₃×D₃	semidirect
1380. C₂²×D₄	C₂×C₃×D₃	semidirect
1404. #124	C₂×C₃×D₃	semidirect
1421. #123	C₂×C₃×D₃	semidirect
1422. #123	C₂×C₃×D₃	semidirect
1428. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1456. #121	C₂×C₃×D₃	semidirect
1457. #121	C₂×C₃×D₃	semidirect
1458. #121	C₂×C₃×D₃	semidirect
1491. #120	C₂×C₃×D₃	semidirect
1492. #120	C₂×C₃×D₃	semidirect
1503. C₄×D₄	C₂×C₃×D₃	semidirect
1504. C₄×D₄	C₂×C₃×D₃	semidirect
1518. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
1519. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
1854. C₂×Q₈	C₂²×C₃×D₃	semidirect
1910. C₂×D₄	C₂²×C₃×D₃	semidirect
1911. C₂×D₄	C₂²×C₃×D₃	semidirect
1927. C₂²×C₄	C₂²×C₃×D₃	semidirect
1928. C₂²×C₄	C₂²×C₃×D₃	semidirect
1929. C₂²×C₄	C₂²×C₃×D₃	semidirect
1944. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1945. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1946. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1947. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1997. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1998. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1999. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
2000. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
2001. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
2007. C₄²	C₂²×C₃×D₃	semidirect
2176. C₃²	#3532	semidirect
2419. C₃	#86667	direct (N × H)
2420. C₃	C₃×#3532	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₃²×#546	2
C₃×#5830	2
C₃×#5829	2
C₃×D₄×#67	2
C₂×C₃×#937	2
C₃×#5683	2
C₃×#5678	2
C₃×#5666	2
C₃×#5658	2
C₃×#5657	2
C₃×#5653	2
C₃×#5644	2
C₃×#5637	2
C₃×#5620	2
C₃×#5617	2
C₃×#5609	2
C₃×#5607	2
C₃×#5605	2
C₃×#5592	2
C₃×#5591	2
C₃×#5590	2
C₃×D₃×#120	2
C₃×#5560	2
C₃×#5554	2
C₃×#5550	2
C₃×#5495	2
C₃×#5493	2
C₃×#5490	2
C₂×C₃×#882	2
C₃×#3532	3
#86667	3

Subgroups — C3×#86667 #11910485

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86667 #11910485