Subgroups — C₃×#86815 #11904837

Order 1152.

2780 conjugacy classes of subgroups.

The subgroup lattice has 2319 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5705	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5705	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5704	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5704	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5678	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5676	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5658	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5657	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5656	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5654	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5654	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5653	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5637	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5634	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5630	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5627	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5591	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5554	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5550	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5547	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5545	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5527	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#5527	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5524	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5521	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5495	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5490	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃×#882	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃×D₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3490	—	3	1	no	maximal
33	#86815	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₂⁴×C₃×D₃	C₂²	1	1	yes	characteristic
35	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic
44	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
47	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
48	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
49	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#123	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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₃²×#120	C₂²	1	1	yes	characteristic
56	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
58	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
59	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	C₃×#953	C₂²	1	1	yes	characteristic
63	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
64	C₃×#947	C₂²	1	1	yes	characteristic, complemented
65	C₃×#946	C₂²	1	1	yes	characteristic, complemented
66	C₃×#946	C₂²	1	1	yes	characteristic, complemented
67	C₃×#939	C₂²	1	1	yes	characteristic, complemented
68	C₃×#939	C₂²	1	1	yes	characteristic, complemented
69	C₃×#938	C₂²	1	1	yes	characteristic, complemented
70	C₃×#937	C₂²	1	1	yes	characteristic
71	C₃×#937	C₂²	1	1	yes	characteristic, complemented
72	C₃×#937	C₂²	1	1	yes	characteristic, complemented
73	C₃×#937	C₂²	1	1	yes	characteristic, complemented
74	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
75	C₃×#930	C₂²	1	1	yes	characteristic, complemented
76	C₃×#930	C₂²	1	1	yes	characteristic, complemented
77	C₃×#929	C₂²	1	1	yes	characteristic, complemented
78	C₃×#929	C₂²	1	1	yes	characteristic, complemented
79	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
80	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
81	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
83	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	C₃×#926	C₂²	1	1	yes	characteristic, complemented
88	C₃×#924	C₂²	1	1	yes	characteristic, complemented
89	C₃×#898	C₂²	1	1	yes	characteristic, complemented
90	C₃×#898	C₂²	1	1	yes	characteristic, complemented
91	C₃×#898	C₂²	1	1	yes	characteristic, complemented
92	C₃×#897	C₂²	1	1	yes	characteristic, complemented
93	C₃×#897	C₂²	1	1	yes	characteristic, complemented
94	C₃×#897	C₂²	1	1	yes	characteristic, complemented
95	C₃×#896	C₂²	1	1	yes	characteristic, complemented
96	C₃×#896	C₂²	1	1	yes	characteristic, complemented
97	C₃×#896	C₂²	1	1	yes	characteristic, complemented
98	C₃×#896	C₂²	1	1	yes	characteristic, complemented
99	C₃×#896	C₂²	1	1	yes	characteristic, complemented
100	C₃×#895	C₂²	1	1	yes	characteristic, complemented
101	C₃×#895	C₂²	1	1	yes	characteristic, complemented
102	C₃×#895	C₂²	1	1	yes	characteristic, complemented
103	C₃×#895	C₂²	1	1	yes	characteristic, complemented
104	C₃×#895	C₂²	1	1	yes	characteristic, complemented
105	C₃×#894	C₂²	1	1	yes	characteristic, complemented
106	C₃×#894	C₂²	1	1	yes	characteristic, complemented
107	C₃×#894	C₂²	1	1	yes	characteristic, complemented
108	C₃×#894	C₂²	1	1	yes	characteristic, complemented
109	C₃×#894	C₂²	1	1	yes	characteristic, complemented
110	C₃×#894	C₂²	1	1	yes	characteristic, complemented
111	C₃×#894	C₂²	1	1	yes	characteristic, complemented
112	C₃×#894	C₂²	1	1	yes	characteristic, complemented
113	C₃×#893	C₂²	1	1	yes	characteristic, complemented
114	C₃×#893	C₂²	1	1	yes	characteristic, complemented
115	C₃×#893	C₂²	1	1	yes	characteristic, complemented
116	C₃×#893	C₂²	1	1	yes	characteristic, complemented
117	C₃×#893	C₂²	1	1	yes	characteristic, complemented
118	C₃×#893	C₂²	1	1	yes	characteristic, complemented
119	C₃×#892	C₂²	1	1	yes	characteristic, complemented
120	C₃×#892	C₂²	1	1	yes	characteristic, complemented
121	C₃×#886	C₂²	1	1	yes	characteristic, complemented
122	C₃×#886	C₂²	1	1	yes	characteristic, complemented
123	C₃×#886	C₂²	1	1	yes	characteristic, complemented
124	C₃×#885	C₂²	1	1	yes	characteristic, complemented
125	C₃×#885	C₂²	1	1	yes	characteristic, complemented
126	C₃×#885	C₂²	1	1	yes	characteristic, complemented
127	C₃×#885	C₂²	1	1	yes	characteristic, complemented
128	C₃×#884	C₂²	1	1	yes	characteristic, complemented
129	C₃×#884	C₂²	1	1	yes	characteristic, complemented
130	C₃×#884	C₂²	1	1	yes	characteristic, complemented
131	C₃×#884	C₂²	1	1	yes	characteristic, complemented
132	C₃×#884	C₂²	1	1	yes	characteristic, complemented
133	C₃×#884	C₂²	1	1	yes	characteristic, complemented
134	C₃×#883	C₂²	1	1	yes	characteristic, complemented
135	C₃×#883	C₂²	1	1	yes	characteristic, complemented
136	C₃×#883	C₂²	1	1	yes	characteristic, complemented
137	C₃×#883	C₂²	1	1	yes	characteristic, complemented
138	C₃×#882	C₂²	1	1	yes	characteristic
139	C₃×#882	C₂²	1	1	yes	characteristic
140	C₃×#882	C₂²	1	1	yes	characteristic
141	C₃×#882	C₂²	1	1	yes	characteristic
142	C₃×#882	C₂²	1	1	yes	characteristic
143	C₃×#882	C₂²	1	1	yes	characteristic, complemented
144	C₃×#882	C₂²	1	1	yes	characteristic, complemented
145	C₃×#882	C₂²	1	1	yes	characteristic, complemented
146	C₃×#882	C₂²	1	1	yes	characteristic, complemented
147	C₃×#882	C₂²	1	1	yes	characteristic, complemented
148	C₃×#882	C₂²	1	1	yes	characteristic, complemented
149	C₃×#882	C₂²	1	1	yes	characteristic, complemented
150	C₃×#882	C₂²	1	1	yes	characteristic, complemented
151	C₃×#882	C₂²	1	1	yes	characteristic, complemented
152	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
153	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
158	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
159	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
160	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	C₃×#879	C₂²	1	1	yes	characteristic, complemented
172	C₃×#879	C₂²	1	1	yes	characteristic, complemented
173	C₃×#878	C₂²	1	1	yes	characteristic, complemented
174	C₃×#878	C₂²	1	1	yes	characteristic, complemented
175	C₃×#878	C₂²	1	1	yes	characteristic, complemented
176	C₃×#877	C₂²	1	1	yes	characteristic, complemented
177	C₃×#876	C₂²	1	1	yes	characteristic, complemented
178	C₃×#875	C₂²	1	1	yes	characteristic, complemented
179	C₃×#875	C₂²	1	1	yes	characteristic, complemented
180	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
181	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
182	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
183	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
184	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
185	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
186	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
187	C₃×#872	C₂²	1	1	yes	characteristic, complemented
188	C₃×#872	C₂²	1	1	yes	characteristic, complemented
189	C₃×#551	—	2	1	no	—
190	C₃×#551	—	3	1	no	—
191	C₃×#551	—	3	1	no	—
192	C₃×#551	—	3	1	no	—
193	C₃×#551	—	3	1	no	—
194	C₃×#551	—	3	1	no	—
195	C₃×#551	—	3	1	no	—
196	C₃×#551	—	3	1	no	—
197	C₃×#551	D₃	1	1	yes	characteristic, complemented
198	C₃×#551	C₂×C₃	1	1	yes	characteristic, complemented
199	C₃×#546	—	3	1	no	—
200	C₃×#546	—	3	1	no	—
201	C₃×#546	—	3	1	no	—
202	C₃×#546	—	3	1	no	—
203	C₃×#546	—	3	1	no	—
204	C₃×#546	—	3	1	no	—
205	C₃×#546	—	3	1	no	—
206	C₃×#546	—	3	1	no	—
207	C₃×#543	—	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×#534	—	3	1	no	—
213	C₃×#525	—	3	1	no	—
214	C₃×#525	—	3	1	no	—
215	C₃×#525	—	3	1	no	—
216	C₃×#525	—	3	1	no	—
217	C₂×C₃×#120	—	3	1	no	—
218	C₂×C₃×#120	—	3	1	no	—
219	C₃×#518	—	3	1	no	—
220	C₃×#518	—	3	1	no	—
221	C₂²×C₃×C₂²⋊C₄	—	3	1	no	—
222	#5705	C₂×C₃	1	1	yes	characteristic, complemented
223	#5705	C₂×C₃	1	1	yes	characteristic, complemented
224	#5704	C₂×C₃	1	1	yes	characteristic, complemented
225	#5704	C₂×C₃	1	1	yes	characteristic, complemented
226	#5678	C₂×C₃	1	1	yes	characteristic, complemented
227	#5676	C₂×C₃	1	1	yes	characteristic, complemented
228	#5658	C₂×C₃	1	1	yes	characteristic, complemented
229	#5657	C₂×C₃	1	1	yes	characteristic, complemented
230	#5656	C₂×C₃	1	1	yes	characteristic, complemented
231	#5654	C₂×C₃	1	1	yes	characteristic, complemented
232	#5654	C₂×C₃	1	1	yes	characteristic, complemented
233	#5653	C₂×C₃	1	1	yes	characteristic, complemented
234	#5637	C₂×C₃	1	1	yes	characteristic, complemented
235	#5634	C₂×C₃	1	1	yes	characteristic, complemented
236	#5630	C₂×C₃	1	1	yes	characteristic, complemented
237	#5627	C₂×C₃	1	1	yes	characteristic, complemented
238	#5591	C₂×C₃	1	1	yes	characteristic, complemented
239	D₃×#120	C₂×C₃	1	1	yes	characteristic, complemented
240	#5554	C₂×C₃	1	1	yes	characteristic, complemented
241	#5550	C₂×C₃	1	1	yes	characteristic, complemented
242	#5547	C₂×C₃	1	1	yes	characteristic, complemented
243	#5545	C₂×C₃	1	1	yes	characteristic, complemented
244	#5527	C₂×C₃	1	1	yes	characteristic, complemented
245	#5527	C₂×C₃	1	1	yes	characteristic, complemented
246	#5524	C₂×C₃	1	1	yes	characteristic, complemented
247	#5521	C₂×C₃	1	1	yes	characteristic, complemented
248	#5495	C₂×C₃	1	1	yes	characteristic, complemented
249	#5490	C₂×C₃	1	1	yes	characteristic, complemented
250	C₂×#882	C₂×C₃	1	1	yes	characteristic, complemented
251	C₂×D₃×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
252	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
253	C₂³×C₃×D₃	—	2	4	no	—
254	C₂³×C₃×D₃	—	4	2	no	—
255	C₂³×C₃×D₃	—	4	2	no	—
256	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
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	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
265	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
266	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
267	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
268	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
269	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
270	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
271	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
272	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
273	C₂×C₃×#67	—	4	2	no	—
274	C₂×C₃×#67	C₂³	1	1	yes	characteristic
275	C₂×C₃×#67	C₂³	1	1	yes	characteristic
276	C₂×C₃×#67	C₂³	1	1	yes	characteristic
277	C₂×C₃×#67	C₂³	1	1	yes	characteristic
278	C₂×C₃×#67	C₂³	1	1	yes	characteristic
279	C₂×C₃×#67	C₂³	1	1	yes	characteristic
280	C₂×C₃×#67	C₂³	1	1	yes	characteristic
281	C₂×C₃×#67	C₂³	1	1	yes	characteristic
282	C₂×C₃×#67	C₂³	1	1	yes	characteristic
283	C₂×C₃×#67	C₂³	1	1	yes	characteristic
284	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
285	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
286	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
287	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
288	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
289	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic, complemented
290	C₃×#239	—	4	2	no	—
291	C₃×#237	—	4	2	no	—
292	C₃×D₃×D₄	—	2	4	no	—
293	C₃×D₃×D₄	—	4	2	no	—
294	C₃×D₃×D₄	—	4	2	no	—
295	C₃×#235	—	4	2	no	—
296	C₃×#235	—	4	2	no	—
297	C₂×C₃×D₁₂	—	2	4	no	—
298	C₂×C₃×D₁₂	—	4	2	no	—
299	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
300	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
301	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
302	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
303	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
304	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
305	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
306	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
307	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
308	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
309	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
310	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
311	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
312	C₂×C₃×C₄×D₃	—	4	2	no	—
313	C₂×C₃×C₄×D₃	—	4	2	no	—
314	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
322	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
323	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
324	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
325	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
326	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
327	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
328	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
329	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
330	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
331	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
332	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
333	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
334	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
335	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
336	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
337	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
338	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
339	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
340	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
341	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
342	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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, complemented
354	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
355	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
356	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
357	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
358	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
359	C₃×#217	C₂³	1	1	yes	characteristic
360	C₃×#217	C₂³	1	1	yes	characteristic
361	C₃×#217	C₂³	1	1	yes	characteristic
362	C₃×#217	C₂³	1	1	yes	characteristic
363	C₃×#217	C₂³	1	1	yes	characteristic
364	C₃×#217	C₂³	1	1	yes	characteristic
365	C₃×#217	C₂³	1	1	yes	characteristic
366	C₃×#217	C₂³	1	1	yes	characteristic, complemented
367	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
368	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
369	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
370	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
371	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
372	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
373	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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, complemented
390	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
391	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
392	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
393	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
394	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
395	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
402	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
403	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
404	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
405	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
406	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
407	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
408	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
409	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
410	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
411	C₃×Dic₃⋊C₄	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×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
418	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
419	C₃×C₄×Dic₃	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	#3490	—	3	1	no	Sylow
423	C₂⁵×C₃	—	3	1	no	—
424	C₂⁴×D₃	C₂²×C₃	1	1	yes	characteristic
425	C₂×C₃×#41	—	3	1	no	—
426	C₂×C₃×#41	—	3	1	no	—
427	C₂×C₃×#41	—	3	1	no	—
428	C₂×C₃×#41	—	3	1	no	—
429	C₂²×C₃×D₄	—	3	1	no	—
430	C₂²×C₃×D₄	—	3	1	no	—
431	C₂²×C₃×D₄	—	3	1	no	—
432	C₂²×C₃×D₄	—	3	1	no	—
433	C₂²×C₃×D₄	—	3	1	no	—
434	C₂²×C₃×D₄	—	3	1	no	—
435	C₂³×C₃×C₄	—	3	1	no	—
436	C₂³×C₃×C₄	—	3	1	no	—
437	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
438	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
439	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
440	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
441	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
442	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
443	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
444	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
445	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic
446	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
447	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
448	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
449	C₃×#126	—	2	1	no	—
450	C₃×#126	—	2	1	no	—
451	C₃×#126	—	3	1	no	—
452	C₃×#126	—	3	1	no	—
453	C₃×#126	—	3	1	no	—
454	C₃×#126	—	3	1	no	—
455	C₃×#126	—	3	1	no	—
456	C₃×#126	—	3	1	no	—
457	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
458	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
459	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
460	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
461	C₃×#124	—	2	1	no	—
462	C₃×#124	—	3	1	no	—
463	C₃×#124	—	3	1	no	—
464	C₃×#124	—	3	1	no	—
465	C₃×#124	—	3	1	no	—
466	C₃×#124	—	3	1	no	—
467	C₃×#124	—	3	1	no	—
468	C₃×#124	—	3	1	no	—
469	C₃×#124	C₂×D₃	1	1	yes	characteristic, complemented
470	C₃×#124	C₂²×C₃	1	1	yes	characteristic, complemented
471	C₃×#123	—	2	1	no	—
472	C₃×#123	—	2	1	no	—
473	C₃×#123	—	2	1	no	—
474	C₃×#123	—	3	1	no	—
475	C₃×#123	—	3	1	no	—
476	C₃×#123	—	3	1	no	—
477	C₃×#123	—	3	1	no	—
478	C₃×#123	—	3	1	no	—
479	C₃×#123	—	3	1	no	—
480	C₃×#123	—	3	1	no	—
481	C₃×#123	—	3	1	no	—
482	C₃×#123	—	3	1	no	—
483	C₃×#123	—	3	1	no	—
484	C₃×#123	—	3	1	no	—
485	C₃×#123	—	3	1	no	—
486	C₃×#123	—	3	1	no	—
487	C₃×#123	—	3	1	no	—
488	C₃×#123	—	3	1	no	—
489	C₃×#123	—	3	1	no	—
490	C₃×#123	—	3	1	no	—
491	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
492	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
493	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
494	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
495	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
496	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
497	C₃×C₂²⋊Q₈	—	2	1	no	—
498	C₃×C₂²⋊Q₈	—	2	1	no	—
499	C₃×C₂²⋊Q₈	—	3	1	no	—
500	C₃×C₂²⋊Q₈	—	3	1	no	—
501	C₃×C₂²⋊Q₈	—	3	1	no	—
502	C₃×C₂²⋊Q₈	—	3	1	no	—
503	C₃×C₂²⋊Q₈	—	3	1	no	—
504	C₃×C₂²⋊Q₈	—	3	1	no	—
505	C₃×C₂²⋊Q₈	—	3	1	no	—
506	C₃×C₂²⋊Q₈	—	3	1	no	—
507	C₃×C₂²⋊Q₈	—	3	1	no	—
508	C₃×C₂²⋊Q₈	—	3	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	C₂×D₃	1	1	yes	characteristic, complemented
514	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
515	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
516	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
517	C₃×#121	—	3	1	no	—
518	C₃×#121	—	3	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×#120	—	2	1	no	—
534	C₃×#120	—	3	1	no	—
535	C₃×#120	—	3	1	no	—
536	C₃×#120	—	3	1	no	—
537	C₃×#120	—	3	1	no	—
538	C₃×#120	—	3	1	no	—
539	C₃×#120	—	3	1	no	—
540	C₃×#120	—	3	1	no	—
541	C₃×#120	—	3	1	no	—
542	C₃×#120	—	3	1	no	—
543	C₃×#120	—	3	1	no	—
544	C₃×#120	—	3	1	no	—
545	C₃×#120	—	3	1	no	—
546	C₃×#120	—	3	1	no	—
547	C₃×#120	—	3	1	no	—
548	C₃×#120	—	3	1	no	—
549	C₃×#120	—	3	1	no	—
550	C₃×#120	—	3	1	no	—
551	C₃×#120	—	3	1	no	—
552	C₃×#120	—	3	1	no	—
553	C₃×#120	C₂×D₃	1	1	yes	characteristic
554	C₃×#120	C₂²×C₃	1	1	yes	characteristic
555	C₃×C₄×D₄	—	2	1	no	—
556	C₃×C₄×D₄	—	2	1	no	—
557	C₃×C₄×D₄	—	3	1	no	—
558	C₃×C₄×D₄	—	3	1	no	—
559	C₃×C₄×D₄	—	3	1	no	—
560	C₃×C₄×D₄	—	3	1	no	—
561	C₃×C₄×D₄	—	3	1	no	—
562	C₃×C₄×D₄	—	3	1	no	—
563	C₃×C₄×D₄	—	3	1	no	—
564	C₃×C₄×D₄	—	3	1	no	—
565	C₃×C₄×D₄	—	3	1	no	—
566	C₃×C₄×D₄	—	3	1	no	—
567	C₃×C₄×D₄	—	3	1	no	—
568	C₃×C₄×D₄	—	3	1	no	—
569	C₃×C₄×D₄	—	3	1	no	—
570	C₃×C₄×D₄	—	3	1	no	—
571	C₃×C₄×D₄	—	3	1	no	—
572	C₃×C₄×D₄	—	3	1	no	—
573	C₃×C₄×D₄	—	3	1	no	—
574	C₃×C₄×D₄	—	3	1	no	—
575	C₃×C₄×D₄	—	3	1	no	—
576	C₃×C₄×D₄	—	3	1	no	—
577	C₃×C₄×D₄	—	3	1	no	—
578	C₃×C₄×D₄	—	3	1	no	—
579	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
580	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
581	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
582	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
583	C₃×#117	—	2	1	no	—
584	C₃×#117	—	2	1	no	—
585	C₃×#117	—	3	1	no	—
586	C₃×#117	—	3	1	no	—
587	C₃×#117	—	3	1	no	—
588	C₃×#117	—	3	1	no	—
589	C₃×#117	—	3	1	no	—
590	C₃×#117	—	3	1	no	—
591	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
592	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
593	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
594	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
595	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
596	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
597	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
598	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
599	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
600	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
601	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
602	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
603	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
604	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
605	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
606	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
607	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
608	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
609	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
610	C₂×C₃×C₂²⋊C₄	—	3	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	C₂×D₃	1	1	yes	characteristic, complemented
618	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
619	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
620	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
621	#953	C₂²×C₃	1	1	yes	characteristic
622	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
623	#947	C₂²×C₃	1	1	yes	characteristic, complemented
624	#946	C₂²×C₃	1	1	yes	characteristic, complemented
625	#946	C₂²×C₃	1	1	yes	characteristic, complemented
626	#939	C₂²×C₃	1	1	yes	characteristic, complemented
627	#939	C₂²×C₃	1	1	yes	characteristic, complemented
628	#938	C₂²×C₃	1	1	yes	characteristic, complemented
629	#937	C₂²×C₃	1	1	yes	characteristic
630	#937	C₂²×C₃	1	1	yes	characteristic, complemented
631	#937	C₂²×C₃	1	1	yes	characteristic, complemented
632	#937	C₂²×C₃	1	1	yes	characteristic, complemented
633	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
634	#930	C₂²×C₃	1	1	yes	characteristic, complemented
635	#930	C₂²×C₃	1	1	yes	characteristic, complemented
636	#929	C₂²×C₃	1	1	yes	characteristic, complemented
637	#929	C₂²×C₃	1	1	yes	characteristic, complemented
638	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
639	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
640	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
641	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
642	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
643	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
644	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
645	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
646	#926	C₂²×C₃	1	1	yes	characteristic, complemented
647	#924	C₂²×C₃	1	1	yes	characteristic, complemented
648	#898	C₂²×C₃	1	1	yes	characteristic, complemented
649	#898	C₂²×C₃	1	1	yes	characteristic, complemented
650	#898	C₂²×C₃	1	1	yes	characteristic, complemented
651	#897	C₂²×C₃	1	1	yes	characteristic, complemented
652	#897	C₂²×C₃	1	1	yes	characteristic, complemented
653	#897	C₂²×C₃	1	1	yes	characteristic, complemented
654	#896	C₂²×C₃	1	1	yes	characteristic, complemented
655	#896	C₂²×C₃	1	1	yes	characteristic, complemented
656	#896	C₂²×C₃	1	1	yes	characteristic, complemented
657	#896	C₂²×C₃	1	1	yes	characteristic, complemented
658	#896	C₂²×C₃	1	1	yes	characteristic, complemented
659	#895	C₂²×C₃	1	1	yes	characteristic, complemented
660	#895	C₂²×C₃	1	1	yes	characteristic, complemented
661	#895	C₂²×C₃	1	1	yes	characteristic, complemented
662	#895	C₂²×C₃	1	1	yes	characteristic, complemented
663	#895	C₂²×C₃	1	1	yes	characteristic, complemented
664	#894	C₂²×C₃	1	1	yes	characteristic, complemented
665	#894	C₂²×C₃	1	1	yes	characteristic, complemented
666	#894	C₂²×C₃	1	1	yes	characteristic, complemented
667	#894	C₂²×C₃	1	1	yes	characteristic, complemented
668	#894	C₂²×C₃	1	1	yes	characteristic, complemented
669	#894	C₂²×C₃	1	1	yes	characteristic, complemented
670	#894	C₂²×C₃	1	1	yes	characteristic, complemented
671	#894	C₂²×C₃	1	1	yes	characteristic, complemented
672	#893	C₂²×C₃	1	1	yes	characteristic, complemented
673	#893	C₂²×C₃	1	1	yes	characteristic, complemented
674	#893	C₂²×C₃	1	1	yes	characteristic, complemented
675	#893	C₂²×C₃	1	1	yes	characteristic, complemented
676	#893	C₂²×C₃	1	1	yes	characteristic, complemented
677	#893	C₂²×C₃	1	1	yes	characteristic, complemented
678	#892	C₂²×C₃	1	1	yes	characteristic, complemented
679	#892	C₂²×C₃	1	1	yes	characteristic, complemented
680	#886	C₂²×C₃	1	1	yes	characteristic, complemented
681	#886	C₂²×C₃	1	1	yes	characteristic, complemented
682	#886	C₂²×C₃	1	1	yes	characteristic, complemented
683	#885	C₂²×C₃	1	1	yes	characteristic, complemented
684	#885	C₂²×C₃	1	1	yes	characteristic, complemented
685	#885	C₂²×C₃	1	1	yes	characteristic, complemented
686	#885	C₂²×C₃	1	1	yes	characteristic, complemented
687	#884	C₂²×C₃	1	1	yes	characteristic, complemented
688	#884	C₂²×C₃	1	1	yes	characteristic, complemented
689	#884	C₂²×C₃	1	1	yes	characteristic, complemented
690	#884	C₂²×C₃	1	1	yes	characteristic, complemented
691	#884	C₂²×C₃	1	1	yes	characteristic, complemented
692	#884	C₂²×C₃	1	1	yes	characteristic, complemented
693	#883	C₂²×C₃	1	1	yes	characteristic, complemented
694	#883	C₂²×C₃	1	1	yes	characteristic, complemented
695	#883	C₂²×C₃	1	1	yes	characteristic, complemented
696	#883	C₂²×C₃	1	1	yes	characteristic, complemented
697	#882	C₂²×C₃	1	1	yes	characteristic
698	#882	C₂²×C₃	1	1	yes	characteristic
699	#882	C₂²×C₃	1	1	yes	characteristic
700	#882	C₂²×C₃	1	1	yes	characteristic
701	#882	C₂²×C₃	1	1	yes	characteristic
702	#882	C₂²×C₃	1	1	yes	characteristic, complemented
703	#882	C₂²×C₃	1	1	yes	characteristic, complemented
704	#882	C₂²×C₃	1	1	yes	characteristic, complemented
705	#882	C₂²×C₃	1	1	yes	characteristic, complemented
706	#882	C₂²×C₃	1	1	yes	characteristic, complemented
707	#882	C₂²×C₃	1	1	yes	characteristic, complemented
708	#882	C₂²×C₃	1	1	yes	characteristic, complemented
709	#882	C₂²×C₃	1	1	yes	characteristic, complemented
710	#882	C₂²×C₃	1	1	yes	characteristic, complemented
711	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
712	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
713	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
714	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
715	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
716	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
717	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
718	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
719	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
720	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
721	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
722	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
723	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
724	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
725	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
726	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
727	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
728	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
729	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
730	#879	C₂²×C₃	1	1	yes	characteristic, complemented
731	#879	C₂²×C₃	1	1	yes	characteristic, complemented
732	#878	C₂²×C₃	1	1	yes	characteristic, complemented
733	#878	C₂²×C₃	1	1	yes	characteristic, complemented
734	#878	C₂²×C₃	1	1	yes	characteristic, complemented
735	#877	C₂²×C₃	1	1	yes	characteristic, complemented
736	#876	C₂²×C₃	1	1	yes	characteristic, complemented
737	#875	C₂²×C₃	1	1	yes	characteristic, complemented
738	#875	C₂²×C₃	1	1	yes	characteristic, complemented
739	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
740	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
741	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
742	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
743	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
744	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
745	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
746	#872	C₂²×C₃	1	1	yes	characteristic, complemented
747	#872	C₂²×C₃	1	1	yes	characteristic, complemented
748	C₂³×C₃²	—	2	2	no	—
749	C₂³×C₃²	—	2	2	no	—
750	C₂³×C₃²	—	4	1	no	—
751	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
752	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
753	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
754	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
755	C₂²×C₃×D₃	—	2	2	no	—
756	C₂²×C₃×D₃	—	2	2	no	—
757	C₂²×C₃×D₃	—	2	2	no	—
758	C₂²×C₃×D₃	—	2	2	no	—
759	C₂²×C₃×D₃	—	2	2	no	—
760	C₂²×C₃×D₃	—	2	2	no	—
761	C₂²×C₃×D₃	—	2	2	no	—
762	C₂²×C₃×D₃	—	2	2	no	—
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	—	4	1	no	—
768	C₂²×C₃×D₃	—	4	1	no	—
769	C₂²×C₃×D₃	—	4	1	no	—
770	C₂²×C₃×D₃	—	4	1	no	—
771	C₂²×C₃×D₃	—	4	1	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	16	no	—
779	C₂²×C₃×D₃	#41	1	4	yes	complemented
780	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
781	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
782	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
783	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
784	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
785	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
786	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
787	C₃²×Q₈	—	4	1	no	—
788	C₃²×D₄	—	2	2	no	—
789	C₃²×D₄	—	2	2	no	—
790	C₃²×D₄	—	4	1	no	—
791	C₂×C₃²×C₄	—	2	2	no	—
792	C₂×C₃²×C₄	—	2	2	no	—
793	C₂×C₃²×C₄	—	4	1	no	—
794	C₂×C₃²×C₄	—	4	1	no	—
795	C₂×C₃²×C₄	—	4	1	no	—
796	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
797	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
798	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
799	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
800	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
801	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
802	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
803	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
804	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
805	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
806	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
807	C₃×#67	—	2	2	no	—
808	C₃×#67	—	2	2	no	—
809	C₃×#67	—	2	2	no	—
810	C₃×#67	—	2	2	no	—
811	C₃×#67	—	2	2	no	—
812	C₃×#67	—	2	2	no	—
813	C₃×#67	—	4	1	no	—
814	C₃×#67	—	4	1	no	—
815	C₃×#67	—	4	1	no	—
816	C₃×#67	—	4	1	no	—
817	C₃×#67	—	4	1	no	—
818	C₃×#67	—	4	1	no	—
819	C₂×C₃×Dic₃	—	2	2	no	—
820	C₂×C₃×Dic₃	—	4	1	no	—
821	C₂×C₃×Dic₃	—	4	1	no	—
822	C₂×C₃×Dic₃	—	4	1	no	—
823	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
824	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
825	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
826	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
827	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
828	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
829	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
830	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
831	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
832	C₃×D₁₂	—	2	2	no	—
833	C₃×D₁₂	—	2	2	no	—
834	C₃×D₁₂	—	2	2	no	—
835	C₃×D₁₂	—	2	2	no	—
836	C₃×D₁₂	—	2	2	no	—
837	C₃×D₁₂	—	2	2	no	—
838	C₃×D₁₂	—	2	2	no	—
839	C₃×D₁₂	—	2	2	no	—
840	C₃×D₁₂	—	4	1	no	—
841	C₃×D₁₂	—	4	1	no	—
842	C₃×D₁₂	—	4	1	no	—
843	C₃×D₁₂	—	4	1	no	—
844	C₃×D₁₂	—	4	1	no	—
845	C₃×C₄×D₃	—	2	2	no	—
846	C₃×C₄×D₃	—	2	2	no	—
847	C₃×C₄×D₃	—	2	2	no	—
848	C₃×C₄×D₃	—	4	1	no	—
849	C₃×C₄×D₃	—	4	1	no	—
850	C₃×C₄×D₃	—	4	1	no	—
851	C₃×C₄×D₃	—	4	1	no	—
852	C₃×C₄×D₃	—	4	1	no	—
853	C₃×C₄×D₃	—	4	1	no	—
854	C₃×C₄×D₃	—	4	1	no	—
855	C₃×C₄×D₃	—	4	1	no	—
856	C₃×C₄×D₃	—	4	1	no	—
857	C₃×C₄×D₃	—	4	1	no	—
858	C₃×C₄×D₃	—	4	1	no	—
859	C₃×C₄×D₃	—	4	1	no	—
860	C₃×C₄×D₃	—	4	1	no	—
861	C₃×C₄×D₃	—	4	1	no	—
862	C₃×Dic₆	—	4	1	no	—
863	C₃×Dic₆	—	4	1	no	—
864	C₃×Dic₆	—	4	1	no	—
865	#551	—	3	1	no	—
866	#551	—	3	1	no	—
867	#551	—	3	1	no	—
868	#551	—	3	1	no	—
869	#551	—	3	1	no	—
870	#551	—	3	1	no	—
871	#551	—	3	1	no	—
872	#551	C₃×D₃	1	1	yes	characteristic, complemented
873	#546	—	3	1	no	—
874	#546	—	3	1	no	—
875	#546	—	3	1	no	—
876	#546	—	3	1	no	—
877	#546	—	3	1	no	—
878	#546	—	3	1	no	—
879	#546	—	3	1	no	—
880	#546	—	3	1	no	—
881	#543	—	3	1	no	—
882	#538	—	3	1	no	—
883	#538	—	3	1	no	—
884	#538	—	3	1	no	—
885	#538	—	3	1	no	—
886	#534	—	3	1	no	—
887	#525	—	3	1	no	—
888	#525	—	3	1	no	—
889	#525	—	3	1	no	—
890	#525	—	3	1	no	—
891	C₂×#120	—	3	1	no	—
892	C₂×#120	—	3	1	no	—
893	#518	—	3	1	no	—
894	#518	—	3	1	no	—
895	C₂²×C₂²⋊C₄	—	3	1	no	—
896	C₂⁴×C₃	—	2	1	no	—
897	C₂⁴×C₃	—	3	1	no	—
898	C₂⁴×C₃	—	3	1	no	—
899	C₂⁴×C₃	—	3	1	no	—
900	C₂⁴×C₃	—	3	1	no	—
901	C₂⁴×C₃	—	3	1	no	—
902	C₂⁴×C₃	—	3	1	no	—
903	C₂⁴×C₃	—	3	1	no	—
904	C₂⁴×C₃	—	3	1	no	—
905	C₂⁴×C₃	—	6	4	no	—
906	C₂⁴×C₃	—	12	2	no	—
907	C₂⁴×C₃	—	12	2	no	—
908	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
909	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
910	C₂³×D₃	—	2	4	no	—
911	C₂³×D₃	—	4	2	no	—
912	C₂³×D₃	—	4	2	no	—
913	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
914	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
915	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
916	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
917	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
918	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
919	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
920	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
921	C₃×#41	—	12	2	no	—
922	C₃×#41	—	12	2	no	—
923	C₃×#41	—	12	2	no	—
924	C₃×#41	—	12	2	no	—
925	C₂×C₃×Q₈	—	2	1	no	—
926	C₂×C₃×Q₈	—	3	1	no	—
927	C₂×C₃×Q₈	—	3	1	no	—
928	C₂×C₃×Q₈	—	3	1	no	—
929	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
930	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
931	C₂×C₃×D₄	—	2	1	no	—
932	C₂×C₃×D₄	—	2	1	no	—
933	C₂×C₃×D₄	—	2	1	no	—
934	C₂×C₃×D₄	—	3	1	no	—
935	C₂×C₃×D₄	—	3	1	no	—
936	C₂×C₃×D₄	—	3	1	no	—
937	C₂×C₃×D₄	—	3	1	no	—
938	C₂×C₃×D₄	—	3	1	no	—
939	C₂×C₃×D₄	—	3	1	no	—
940	C₂×C₃×D₄	—	3	1	no	—
941	C₂×C₃×D₄	—	3	1	no	—
942	C₂×C₃×D₄	—	3	1	no	—
943	C₂×C₃×D₄	—	3	1	no	—
944	C₂×C₃×D₄	—	3	1	no	—
945	C₂×C₃×D₄	—	3	1	no	—
946	C₂×C₃×D₄	—	3	1	no	—
947	C₂×C₃×D₄	—	3	1	no	—
948	C₂×C₃×D₄	—	3	1	no	—
949	C₂×C₃×D₄	—	3	1	no	—
950	C₂×C₃×D₄	—	3	1	no	—
951	C₂×C₃×D₄	—	3	1	no	—
952	C₂×C₃×D₄	—	3	1	no	—
953	C₂×C₃×D₄	—	3	1	no	—
954	C₂×C₃×D₄	—	3	1	no	—
955	C₂×C₃×D₄	—	3	1	no	—
956	C₂×C₃×D₄	—	3	1	no	—
957	C₂×C₃×D₄	—	3	1	no	—
958	C₂×C₃×D₄	—	3	1	no	—
959	C₂×C₃×D₄	—	6	4	no	—
960	C₂×C₃×D₄	—	6	4	no	—
961	C₂×C₃×D₄	—	12	2	no	—
962	C₂×C₃×D₄	—	12	2	no	—
963	C₂×C₃×D₄	—	12	2	no	—
964	C₂×C₃×D₄	—	12	2	no	—
965	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
966	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
967	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
968	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
969	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
970	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
971	C₂²×C₃×C₄	—	2	1	no	—
972	C₂²×C₃×C₄	—	2	1	no	—
973	C₂²×C₃×C₄	—	2	1	no	—
974	C₂²×C₃×C₄	—	2	1	no	—
975	C₂²×C₃×C₄	—	2	1	no	—
976	C₂²×C₃×C₄	—	3	1	no	—
977	C₂²×C₃×C₄	—	3	1	no	—
978	C₂²×C₃×C₄	—	3	1	no	—
979	C₂²×C₃×C₄	—	3	1	no	—
980	C₂²×C₃×C₄	—	3	1	no	—
981	C₂²×C₃×C₄	—	3	1	no	—
982	C₂²×C₃×C₄	—	3	1	no	—
983	C₂²×C₃×C₄	—	3	1	no	—
984	C₂²×C₃×C₄	—	3	1	no	—
985	C₂²×C₃×C₄	—	3	1	no	—
986	C₂²×C₃×C₄	—	3	1	no	—
987	C₂²×C₃×C₄	—	3	1	no	—
988	C₂²×C₃×C₄	—	3	1	no	—
989	C₂²×C₃×C₄	—	3	1	no	—
990	C₂²×C₃×C₄	—	3	1	no	—
991	C₂²×C₃×C₄	—	3	1	no	—
992	C₂²×C₃×C₄	—	3	1	no	—
993	C₂²×C₃×C₄	—	3	1	no	—
994	C₂²×C₃×C₄	—	3	1	no	—
995	C₂²×C₃×C₄	—	3	1	no	—
996	C₂²×C₃×C₄	—	3	1	no	—
997	C₂²×C₃×C₄	—	12	2	no	—
998	C₂²×C₃×C₄	—	12	2	no	—
999	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1000	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1001	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1002	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1003	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1004	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1005	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1006	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1007	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1008	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1009	C₂×#67	—	4	2	no	—
1010	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1011	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1012	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1013	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1014	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1015	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1016	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1017	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1018	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1019	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1020	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
1021	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
1022	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1023	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1024	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1025	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1026	#239	—	4	2	no	—
1027	#237	—	4	2	no	—
1028	D₃×D₄	—	2	4	no	—
1029	D₃×D₄	—	4	2	no	—
1030	D₃×D₄	—	4	2	no	—
1031	#235	—	4	2	no	—
1032	#235	—	4	2	no	—
1033	C₂×D₁₂	—	2	4	no	—
1034	C₂×D₁₂	—	4	2	no	—
1035	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1036	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1037	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1038	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1039	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1040	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1041	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1042	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1043	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1044	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1045	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1046	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
1047	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
1048	C₂×C₄×D₃	—	4	2	no	—
1049	C₂×C₄×D₃	—	4	2	no	—
1050	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1051	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1052	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1053	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1054	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1055	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1056	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1057	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1058	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1059	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1060	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1061	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1062	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1063	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1064	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1065	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1066	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
1067	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
1068	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
1069	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
1070	C₃×C₄⋊C₄	—	2	1	no	—
1071	C₃×C₄⋊C₄	—	2	1	no	—
1072	C₃×C₄⋊C₄	—	2	1	no	—
1073	C₃×C₄⋊C₄	—	2	1	no	—
1074	C₃×C₄⋊C₄	—	2	1	no	—
1075	C₃×C₄⋊C₄	—	2	1	no	—
1076	C₃×C₄⋊C₄	—	2	1	no	—
1077	C₃×C₄⋊C₄	—	2	1	no	—
1078	C₃×C₄⋊C₄	—	3	1	no	—
1079	C₃×C₄⋊C₄	—	3	1	no	—
1080	C₃×C₄⋊C₄	—	3	1	no	—
1081	C₃×C₄⋊C₄	—	3	1	no	—
1082	C₃×C₄⋊C₄	—	3	1	no	—
1083	C₃×C₄⋊C₄	—	3	1	no	—
1084	C₃×C₄⋊C₄	—	3	1	no	—
1085	C₃×C₄⋊C₄	—	3	1	no	—
1086	C₃×C₄⋊C₄	—	3	1	no	—
1087	C₃×C₄⋊C₄	—	3	1	no	—
1088	C₃×C₄⋊C₄	—	3	1	no	—
1089	C₃×C₄⋊C₄	—	3	1	no	—
1090	C₃×C₄⋊C₄	—	3	1	no	—
1091	C₃×C₄⋊C₄	—	3	1	no	—
1092	C₃×C₄⋊C₄	—	3	1	no	—
1093	C₃×C₄⋊C₄	—	3	1	no	—
1094	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1095	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1096	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1097	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1098	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1099	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1100	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1101	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1102	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1103	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1104	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1105	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1106	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1107	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1108	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1109	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1110	C₃×C₂²⋊C₄	—	2	1	no	—
1111	C₃×C₂²⋊C₄	—	2	1	no	—
1112	C₃×C₂²⋊C₄	—	2	1	no	—
1113	C₃×C₂²⋊C₄	—	2	1	no	—
1114	C₃×C₂²⋊C₄	—	2	1	no	—
1115	C₃×C₂²⋊C₄	—	2	1	no	—
1116	C₃×C₂²⋊C₄	—	2	1	no	—
1117	C₃×C₂²⋊C₄	—	2	1	no	—
1118	C₃×C₂²⋊C₄	—	2	1	no	—
1119	C₃×C₂²⋊C₄	—	2	1	no	—
1120	C₃×C₂²⋊C₄	—	2	1	no	—
1121	C₃×C₂²⋊C₄	—	2	1	no	—
1122	C₃×C₂²⋊C₄	—	2	1	no	—
1123	C₃×C₂²⋊C₄	—	2	1	no	—
1124	C₃×C₂²⋊C₄	—	3	1	no	—
1125	C₃×C₂²⋊C₄	—	3	1	no	—
1126	C₃×C₂²⋊C₄	—	3	1	no	—
1127	C₃×C₂²⋊C₄	—	3	1	no	—
1128	C₃×C₂²⋊C₄	—	3	1	no	—
1129	C₃×C₂²⋊C₄	—	3	1	no	—
1130	C₃×C₂²⋊C₄	—	3	1	no	—
1131	C₃×C₂²⋊C₄	—	3	1	no	—
1132	C₃×C₂²⋊C₄	—	3	1	no	—
1133	C₃×C₂²⋊C₄	—	3	1	no	—
1134	C₃×C₂²⋊C₄	—	3	1	no	—
1135	C₃×C₂²⋊C₄	—	3	1	no	—
1136	C₃×C₂²⋊C₄	—	3	1	no	—
1137	C₃×C₂²⋊C₄	—	3	1	no	—
1138	C₃×C₂²⋊C₄	—	3	1	no	—
1139	C₃×C₂²⋊C₄	—	3	1	no	—
1140	C₃×C₂²⋊C₄	—	3	1	no	—
1141	C₃×C₂²⋊C₄	—	3	1	no	—
1142	C₃×C₂²⋊C₄	—	3	1	no	—
1143	C₃×C₂²⋊C₄	—	3	1	no	—
1144	C₃×C₂²⋊C₄	—	3	1	no	—
1145	C₃×C₂²⋊C₄	—	3	1	no	—
1146	C₃×C₂²⋊C₄	—	3	1	no	—
1147	C₃×C₂²⋊C₄	—	3	1	no	—
1148	C₃×C₂²⋊C₄	—	3	1	no	—
1149	C₃×C₂²⋊C₄	—	3	1	no	—
1150	C₃×C₂²⋊C₄	—	3	1	no	—
1151	C₃×C₂²⋊C₄	—	3	1	no	—
1152	C₃×C₂²⋊C₄	—	3	1	no	—
1153	C₃×C₂²⋊C₄	—	3	1	no	—
1154	C₃×C₂²⋊C₄	—	3	1	no	—
1155	C₃×C₂²⋊C₄	—	3	1	no	—
1156	C₃×C₂²⋊C₄	—	3	1	no	—
1157	C₃×C₂²⋊C₄	—	3	1	no	—
1158	C₃×C₂²⋊C₄	—	3	1	no	—
1159	C₃×C₂²⋊C₄	—	3	1	no	—
1160	C₃×C₂²⋊C₄	—	3	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	C₂²×D₃	1	1	yes	characteristic
1167	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1168	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1169	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1170	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1171	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1172	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1173	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1174	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1175	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1176	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1177	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1178	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1179	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1180	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1181	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1182	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1183	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1184	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1185	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1186	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1187	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1188	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1189	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1190	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1191	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1192	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1193	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1194	C₃×C₄²	—	2	1	no	—
1195	C₃×C₄²	—	2	1	no	—
1196	C₃×C₄²	—	2	1	no	—
1197	C₃×C₄²	—	3	1	no	—
1198	C₃×C₄²	—	3	1	no	—
1199	C₃×C₄²	—	3	1	no	—
1200	C₃×C₄²	—	3	1	no	—
1201	C₃×C₄²	—	3	1	no	—
1202	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
1203	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
1204	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
1205	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
1206	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
1207	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
1208	#217	C₂³×C₃	1	1	yes	characteristic
1209	#217	C₂³×C₃	1	1	yes	characteristic
1210	#217	C₂³×C₃	1	1	yes	characteristic
1211	#217	C₂³×C₃	1	1	yes	characteristic
1212	#217	C₂³×C₃	1	1	yes	characteristic
1213	#217	C₂³×C₃	1	1	yes	characteristic
1214	#217	C₂³×C₃	1	1	yes	characteristic
1215	#217	C₂³×C₃	1	1	yes	characteristic, complemented
1216	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1217	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1218	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1219	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1220	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1221	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1222	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1223	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1224	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1225	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1226	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1227	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1228	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1229	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1230	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1231	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1232	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1233	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1234	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1235	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1236	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1237	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1238	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1239	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1240	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1241	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1242	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1243	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1244	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1245	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1246	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1247	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1248	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1249	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1250	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1251	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1252	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1253	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1254	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1255	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1256	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1257	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1258	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1259	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1260	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1261	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1262	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1263	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1264	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1265	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
1266	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1267	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1268	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1269	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1270	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
1271	C₂²×C₃²	—	2	1	no	—
1272	C₂²×C₃²	—	2	1	no	—
1273	C₂²×C₃²	—	2	1	no	—
1274	C₂²×C₃²	—	2	1	no	—
1275	C₂²×C₃²	—	2	1	no	—
1276	C₂²×C₃²	—	2	1	no	—
1277	C₂²×C₃²	—	2	1	no	—
1278	C₂²×C₃²	—	2	1	no	—
1279	C₂²×C₃²	—	2	1	no	—
1280	C₂²×C₃²	—	2	1	no	—
1281	C₂²×C₃²	—	4	4	no	—
1282	C₂²×C₃²	C₂×#41	1	2	yes	—
1283	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
1284	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1285	C₂×C₃×D₃	—	2	8	no	—
1286	C₂×C₃×D₃	—	2	1	no	—
1287	C₂×C₃×D₃	—	2	1	no	—
1288	C₂×C₃×D₃	—	2	1	no	—
1289	C₂×C₃×D₃	—	2	1	no	—
1290	C₂×C₃×D₃	—	2	1	no	—
1291	C₂×C₃×D₃	—	2	1	no	—
1292	C₂×C₃×D₃	—	2	1	no	—
1293	C₂×C₃×D₃	—	2	1	no	—
1294	C₂×C₃×D₃	—	2	1	no	—
1295	C₂×C₃×D₃	—	2	1	no	—
1296	C₂×C₃×D₃	—	2	1	no	—
1297	C₂×C₃×D₃	—	2	1	no	—
1298	C₂×C₃×D₃	—	2	1	no	—
1299	C₂×C₃×D₃	—	2	1	no	—
1300	C₂×C₃×D₃	—	2	1	no	—
1301	C₂×C₃×D₃	—	2	1	no	—
1302	C₂×C₃×D₃	—	2	1	no	—
1303	C₂×C₃×D₃	—	2	1	no	—
1304	C₂×C₃×D₃	—	4	4	no	—
1305	C₂×C₃×D₃	—	4	4	no	—
1306	C₂×C₃×D₃	—	4	4	no	—
1307	C₂×C₃×D₃	—	4	4	no	—
1308	C₂×C₃×D₃	—	4	4	no	—
1309	C₂×C₃×D₃	—	8	2	no	—
1310	C₂×C₃×D₃	—	8	2	no	—
1311	C₂×C₃×D₃	C₂×#41	1	2	yes	—
1312	C₂×C₃×D₃	C₂×#41	1	2	yes	—
1313	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
1314	C₃²×C₄	—	2	1	no	—
1315	C₃²×C₄	—	2	1	no	—
1316	C₃²×C₄	—	2	1	no	—
1317	C₃²×C₄	—	2	1	no	—
1318	C₃²×C₄	—	2	1	no	—
1319	C₃²×C₄	—	2	1	no	—
1320	C₃²×C₄	—	2	1	no	—
1321	C₃²×C₄	—	2	1	no	—
1322	C₃²×C₄	—	2	1	no	—
1323	C₃²×C₄	—	2	1	no	—
1324	C₃²×C₄	—	2	1	no	—
1325	C₃×Dic₃	—	2	1	no	—
1326	C₃×Dic₃	—	2	1	no	—
1327	C₃×Dic₃	—	2	1	no	—
1328	C₃×Dic₃	—	2	1	no	—
1329	C₃×Dic₃	—	2	1	no	—
1330	C₃×Dic₃	—	2	1	no	—
1331	C₃×Dic₃	—	2	1	no	—
1332	C₃×Dic₃	—	2	1	no	—
1333	C₃×Dic₃	—	2	1	no	—
1334	C₂⁵	—	3	1	no	—
1335	C₂×#41	—	3	1	no	—
1336	C₂×#41	—	3	1	no	—
1337	C₂×#41	—	3	1	no	—
1338	C₂×#41	—	3	1	no	—
1339	C₂²×D₄	—	3	1	no	—
1340	C₂²×D₄	—	3	1	no	—
1341	C₂²×D₄	—	3	1	no	—
1342	C₂²×D₄	—	3	1	no	—
1343	C₂²×D₄	—	3	1	no	—
1344	C₂²×D₄	—	3	1	no	—
1345	C₂³×C₄	—	3	1	no	—
1346	C₂³×C₄	—	3	1	no	—
1347	#126	—	3	1	no	—
1348	#126	—	3	1	no	—
1349	#126	—	3	1	no	—
1350	#126	—	3	1	no	—
1351	#126	—	3	1	no	—
1352	#126	—	3	1	no	—
1353	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1354	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1355	#124	—	3	1	no	—
1356	#124	—	3	1	no	—
1357	#124	—	3	1	no	—
1358	#124	—	3	1	no	—
1359	#124	—	3	1	no	—
1360	#124	—	3	1	no	—
1361	#124	—	3	1	no	—
1362	#124	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1363	#123	—	3	1	no	—
1364	#123	—	3	1	no	—
1365	#123	—	3	1	no	—
1366	#123	—	3	1	no	—
1367	#123	—	3	1	no	—
1368	#123	—	3	1	no	—
1369	#123	—	3	1	no	—
1370	#123	—	3	1	no	—
1371	#123	—	3	1	no	—
1372	#123	—	3	1	no	—
1373	#123	—	3	1	no	—
1374	#123	—	3	1	no	—
1375	#123	—	3	1	no	—
1376	#123	—	3	1	no	—
1377	#123	—	3	1	no	—
1378	#123	—	3	1	no	—
1379	#123	—	3	1	no	—
1380	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1381	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1382	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1383	C₂²⋊Q₈	—	3	1	no	—
1384	C₂²⋊Q₈	—	3	1	no	—
1385	C₂²⋊Q₈	—	3	1	no	—
1386	C₂²⋊Q₈	—	3	1	no	—
1387	C₂²⋊Q₈	—	3	1	no	—
1388	C₂²⋊Q₈	—	3	1	no	—
1389	C₂²⋊Q₈	—	3	1	no	—
1390	C₂²⋊Q₈	—	3	1	no	—
1391	C₂²⋊Q₈	—	3	1	no	—
1392	C₂²⋊Q₈	—	3	1	no	—
1393	C₂²⋊Q₈	—	3	1	no	—
1394	C₂²⋊Q₈	—	3	1	no	—
1395	C₂²⋊Q₈	—	3	1	no	—
1396	C₂²⋊Q₈	—	3	1	no	—
1397	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1398	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1399	#121	—	3	1	no	—
1400	#121	—	3	1	no	—
1401	#121	—	3	1	no	—
1402	#121	—	3	1	no	—
1403	#121	—	3	1	no	—
1404	#121	—	3	1	no	—
1405	#121	—	3	1	no	—
1406	#121	—	3	1	no	—
1407	#121	—	3	1	no	—
1408	#121	—	3	1	no	—
1409	#121	—	3	1	no	—
1410	#121	—	3	1	no	—
1411	#121	—	3	1	no	—
1412	#121	—	3	1	no	—
1413	#121	—	3	1	no	—
1414	#121	—	3	1	no	—
1415	#120	—	3	1	no	—
1416	#120	—	3	1	no	—
1417	#120	—	3	1	no	—
1418	#120	—	3	1	no	—
1419	#120	—	3	1	no	—
1420	#120	—	3	1	no	—
1421	#120	—	3	1	no	—
1422	#120	—	3	1	no	—
1423	#120	—	3	1	no	—
1424	#120	—	3	1	no	—
1425	#120	—	3	1	no	—
1426	#120	—	3	1	no	—
1427	#120	—	3	1	no	—
1428	#120	—	3	1	no	—
1429	#120	—	3	1	no	—
1430	#120	—	3	1	no	—
1431	#120	—	3	1	no	—
1432	#120	—	3	1	no	—
1433	#120	—	3	1	no	—
1434	#120	C₂×C₃×D₃	1	1	yes	characteristic
1435	C₄×D₄	—	3	1	no	—
1436	C₄×D₄	—	3	1	no	—
1437	C₄×D₄	—	3	1	no	—
1438	C₄×D₄	—	3	1	no	—
1439	C₄×D₄	—	3	1	no	—
1440	C₄×D₄	—	3	1	no	—
1441	C₄×D₄	—	3	1	no	—
1442	C₄×D₄	—	3	1	no	—
1443	C₄×D₄	—	3	1	no	—
1444	C₄×D₄	—	3	1	no	—
1445	C₄×D₄	—	3	1	no	—
1446	C₄×D₄	—	3	1	no	—
1447	C₄×D₄	—	3	1	no	—
1448	C₄×D₄	—	3	1	no	—
1449	C₄×D₄	—	3	1	no	—
1450	C₄×D₄	—	3	1	no	—
1451	C₄×D₄	—	3	1	no	—
1452	C₄×D₄	—	3	1	no	—
1453	C₄×D₄	—	3	1	no	—
1454	C₄×D₄	—	3	1	no	—
1455	C₄×D₄	—	3	1	no	—
1456	C₄×D₄	—	3	1	no	—
1457	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1458	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1459	#117	—	3	1	no	—
1460	#117	—	3	1	no	—
1461	#117	—	3	1	no	—
1462	#117	—	3	1	no	—
1463	#117	—	3	1	no	—
1464	#117	—	3	1	no	—
1465	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1466	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1467	C₂×C₂²⋊C₄	—	3	1	no	—
1468	C₂×C₂²⋊C₄	—	3	1	no	—
1469	C₂×C₂²⋊C₄	—	3	1	no	—
1470	C₂×C₂²⋊C₄	—	3	1	no	—
1471	C₂×C₂²⋊C₄	—	3	1	no	—
1472	C₂×C₂²⋊C₄	—	3	1	no	—
1473	C₂×C₂²⋊C₄	—	3	1	no	—
1474	C₂×C₂²⋊C₄	—	3	1	no	—
1475	C₂×C₂²⋊C₄	—	3	1	no	—
1476	C₂×C₂²⋊C₄	—	3	1	no	—
1477	C₂×C₂²⋊C₄	—	3	1	no	—
1478	C₂×C₂²⋊C₄	—	3	1	no	—
1479	C₂×C₂²⋊C₄	—	3	1	no	—
1480	C₂×C₂²⋊C₄	—	3	1	no	—
1481	C₂×C₂²⋊C₄	—	3	1	no	—
1482	C₂×C₂²⋊C₄	—	3	1	no	—
1483	C₂×C₂²⋊C₄	—	3	1	no	—
1484	C₂×C₂²⋊C₄	—	3	1	no	—
1485	C₂×C₂²⋊C₄	—	3	1	no	—
1486	C₂×C₂²⋊C₄	—	3	1	no	—
1487	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1488	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1489	C₂³×C₃	—	2	2	no	—
1490	C₂³×C₃	—	2	2	no	—
1491	C₂³×C₃	—	2	2	no	—
1492	C₂³×C₃	—	2	2	no	—
1493	C₂³×C₃	—	2	1	no	—
1494	C₂³×C₃	—	2	1	no	—
1495	C₂³×C₃	—	2	1	no	—
1496	C₂³×C₃	—	2	1	no	—
1497	C₂³×C₃	—	3	1	no	—
1498	C₂³×C₃	—	3	1	no	—
1499	C₂³×C₃	—	3	1	no	—
1500	C₂³×C₃	—	3	4	no	—
1501	C₂³×C₃	—	3	1	no	—
1502	C₂³×C₃	—	3	1	no	—
1503	C₂³×C₃	—	3	1	no	—
1504	C₂³×C₃	—	3	1	no	—
1505	C₂³×C₃	—	4	2	no	—
1506	C₂³×C₃	—	4	2	no	—
1507	C₂³×C₃	—	4	1	no	—
1508	C₂³×C₃	—	4	1	no	—
1509	C₂³×C₃	—	6	2	no	—
1510	C₂³×C₃	—	6	2	no	—
1511	C₂³×C₃	—	6	2	no	—
1512	C₂³×C₃	—	6	2	no	—
1513	C₂³×C₃	—	6	2	no	—
1514	C₂³×C₃	—	6	2	no	—
1515	C₂³×C₃	—	6	2	no	—
1516	C₂³×C₃	—	6	2	no	—
1517	C₂³×C₃	—	6	2	no	—
1518	C₂³×C₃	—	6	2	no	—
1519	C₂³×C₃	—	6	2	no	—
1520	C₂³×C₃	—	6	2	no	—
1521	C₂³×C₃	—	8	1	no	—
1522	C₂³×C₃	—	12	1	no	—
1523	C₂³×C₃	—	12	1	no	—
1524	C₂³×C₃	—	12	1	no	—
1525	C₂³×C₃	—	12	1	no	—
1526	C₂³×C₃	—	12	1	no	—
1527	C₂³×C₃	—	12	1	no	—
1528	C₂³×C₃	—	12	1	no	—
1529	C₂³×C₃	—	12	1	no	—
1530	C₂³×C₃	—	12	1	no	—
1531	C₂³×C₃	—	12	1	no	—
1532	C₂³×C₃	—	12	1	no	—
1533	C₂³×C₃	—	12	16	no	—
1534	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1535	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1536	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1537	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1538	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1539	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1540	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1541	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1542	C₂²×D₃	—	2	2	no	—
1543	C₂²×D₃	—	2	2	no	—
1544	C₂²×D₃	—	2	2	no	—
1545	C₂²×D₃	—	2	2	no	—
1546	C₂²×D₃	—	2	2	no	—
1547	C₂²×D₃	—	2	2	no	—
1548	C₂²×D₃	—	2	2	no	—
1549	C₂²×D₃	—	2	2	no	—
1550	C₂²×D₃	—	2	2	no	—
1551	C₂²×D₃	—	2	2	no	—
1552	C₂²×D₃	—	2	2	no	—
1553	C₂²×D₃	—	2	2	no	—
1554	C₂²×D₃	—	4	1	no	—
1555	C₂²×D₃	—	4	1	no	—
1556	C₂²×D₃	—	4	1	no	—
1557	C₂²×D₃	—	4	1	no	—
1558	C₂²×D₃	—	4	1	no	—
1559	C₂²×D₃	—	4	1	no	—
1560	C₂²×D₃	—	4	1	no	—
1561	C₂²×D₃	—	4	1	no	—
1562	C₂²×D₃	—	4	1	no	—
1563	C₂²×D₃	—	4	1	no	—
1564	C₂²×D₃	—	4	1	no	—
1565	C₂²×D₃	—	4	16	no	—
1566	C₂²×D₃	C₃×#41	1	4	yes	complemented
1567	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1568	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1569	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1570	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1571	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1572	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1573	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1574	C₃×Q₈	—	4	1	no	—
1575	C₃×Q₈	—	4	1	no	—
1576	C₃×Q₈	—	8	1	no	—
1577	C₃×Q₈	—	12	1	no	—
1578	C₃×Q₈	—	12	1	no	—
1579	C₃×Q₈	—	12	1	no	—
1580	C₃×D₄	—	2	2	no	—
1581	C₃×D₄	—	2	2	no	—
1582	C₃×D₄	—	2	2	no	—
1583	C₃×D₄	—	2	2	no	—
1584	C₃×D₄	—	4	2	no	—
1585	C₃×D₄	—	4	2	no	—
1586	C₃×D₄	—	4	1	no	—
1587	C₃×D₄	—	4	1	no	—
1588	C₃×D₄	—	6	2	no	—
1589	C₃×D₄	—	6	2	no	—
1590	C₃×D₄	—	6	2	no	—
1591	C₃×D₄	—	6	2	no	—
1592	C₃×D₄	—	6	2	no	—
1593	C₃×D₄	—	6	2	no	—
1594	C₃×D₄	—	6	2	no	—
1595	C₃×D₄	—	6	2	no	—
1596	C₃×D₄	—	6	2	no	—
1597	C₃×D₄	—	6	2	no	—
1598	C₃×D₄	—	6	2	no	—
1599	C₃×D₄	—	6	2	no	—
1600	C₃×D₄	—	6	2	no	—
1601	C₃×D₄	—	6	2	no	—
1602	C₃×D₄	—	8	1	no	—
1603	C₃×D₄	—	12	1	no	—
1604	C₃×D₄	—	12	1	no	—
1605	C₃×D₄	—	12	1	no	—
1606	C₃×D₄	—	12	1	no	—
1607	C₃×D₄	—	12	1	no	—
1608	C₃×D₄	—	12	1	no	—
1609	C₃×D₄	—	12	1	no	—
1610	C₃×D₄	—	12	1	no	—
1611	C₃×D₄	—	12	1	no	—
1612	C₃×D₄	—	12	1	no	—
1613	C₃×D₄	—	12	1	no	—
1614	C₂×C₃×C₄	—	2	2	no	—
1615	C₂×C₃×C₄	—	2	2	no	—
1616	C₂×C₃×C₄	—	2	2	no	—
1617	C₂×C₃×C₄	—	2	2	no	—
1618	C₂×C₃×C₄	—	2	1	no	—
1619	C₂×C₃×C₄	—	2	1	no	—
1620	C₂×C₃×C₄	—	2	1	no	—
1621	C₂×C₃×C₄	—	2	1	no	—
1622	C₂×C₃×C₄	—	2	1	no	—
1623	C₂×C₃×C₄	—	2	1	no	—
1624	C₂×C₃×C₄	—	2	1	no	—
1625	C₂×C₃×C₄	—	2	1	no	—
1626	C₂×C₃×C₄	—	2	1	no	—
1627	C₂×C₃×C₄	—	2	1	no	—
1628	C₂×C₃×C₄	—	2	1	no	—
1629	C₂×C₃×C₄	—	3	1	no	—
1630	C₂×C₃×C₄	—	3	1	no	—
1631	C₂×C₃×C₄	—	3	1	no	—
1632	C₂×C₃×C₄	—	3	1	no	—
1633	C₂×C₃×C₄	—	3	1	no	—
1634	C₂×C₃×C₄	—	3	1	no	—
1635	C₂×C₃×C₄	—	3	1	no	—
1636	C₂×C₃×C₄	—	3	1	no	—
1637	C₂×C₃×C₄	—	3	1	no	—
1638	C₂×C₃×C₄	—	4	2	no	—
1639	C₂×C₃×C₄	—	4	2	no	—
1640	C₂×C₃×C₄	—	4	1	no	—
1641	C₂×C₃×C₄	—	4	1	no	—
1642	C₂×C₃×C₄	—	4	1	no	—
1643	C₂×C₃×C₄	—	4	1	no	—
1644	C₂×C₃×C₄	—	4	1	no	—
1645	C₂×C₃×C₄	—	4	1	no	—
1646	C₂×C₃×C₄	—	6	2	no	—
1647	C₂×C₃×C₄	—	6	2	no	—
1648	C₂×C₃×C₄	—	6	2	no	—
1649	C₂×C₃×C₄	—	6	2	no	—
1650	C₂×C₃×C₄	—	8	1	no	—
1651	C₂×C₃×C₄	—	8	1	no	—
1652	C₂×C₃×C₄	—	8	1	no	—
1653	C₂×C₃×C₄	—	12	1	no	—
1654	C₂×C₃×C₄	—	12	1	no	—
1655	C₂×C₃×C₄	—	12	1	no	—
1656	C₂×C₃×C₄	—	12	1	no	—
1657	C₂×C₃×C₄	—	12	1	no	—
1658	C₂×C₃×C₄	—	12	1	no	—
1659	C₂×C₃×C₄	—	12	1	no	—
1660	C₂×C₃×C₄	—	12	1	no	—
1661	C₂×C₃×C₄	—	12	1	no	—
1662	C₂×C₃×C₄	—	12	1	no	—
1663	C₂×C₃×C₄	—	12	1	no	—
1664	C₂×C₃×C₄	—	12	1	no	—
1665	C₂×C₃×C₄	—	12	1	no	—
1666	C₂×C₃×C₄	—	12	1	no	—
1667	C₂×C₃×C₄	—	12	1	no	—
1668	C₂×C₃×C₄	—	12	1	no	—
1669	C₂×C₃×C₄	—	12	1	no	—
1670	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1671	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1672	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1673	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1674	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1675	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1676	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1677	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1678	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1679	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1680	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1681	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1682	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1683	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1684	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1685	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1686	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1687	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1688	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1689	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1690	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1691	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1692	#67	—	2	2	no	—
1693	#67	—	2	2	no	—
1694	#67	—	2	2	no	—
1695	#67	—	2	2	no	—
1696	#67	—	2	2	no	—
1697	#67	—	2	2	no	—
1698	#67	—	4	1	no	—
1699	#67	—	4	1	no	—
1700	#67	—	4	1	no	—
1701	#67	—	4	1	no	—
1702	#67	—	4	1	no	—
1703	#67	—	4	1	no	—
1704	C₂×Dic₃	—	2	2	no	—
1705	C₂×Dic₃	—	4	1	no	—
1706	C₂×Dic₃	—	4	1	no	—
1707	C₂×Dic₃	—	4	1	no	—
1708	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1709	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1710	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1711	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1712	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1713	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1714	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1715	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1716	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1717	D₁₂	—	2	2	no	—
1718	D₁₂	—	2	2	no	—
1719	D₁₂	—	2	2	no	—
1720	D₁₂	—	2	2	no	—
1721	D₁₂	—	2	2	no	—
1722	D₁₂	—	2	2	no	—
1723	D₁₂	—	2	2	no	—
1724	D₁₂	—	2	2	no	—
1725	D₁₂	—	4	1	no	—
1726	D₁₂	—	4	1	no	—
1727	D₁₂	—	4	1	no	—
1728	D₁₂	—	4	1	no	—
1729	D₁₂	—	4	1	no	—
1730	C₄×D₃	—	2	2	no	—
1731	C₄×D₃	—	2	2	no	—
1732	C₄×D₃	—	2	2	no	—
1733	C₄×D₃	—	4	1	no	—
1734	C₄×D₃	—	4	1	no	—
1735	C₄×D₃	—	4	1	no	—
1736	C₄×D₃	—	4	1	no	—
1737	C₄×D₃	—	4	1	no	—
1738	C₄×D₃	—	4	1	no	—
1739	C₄×D₃	—	4	1	no	—
1740	C₄×D₃	—	4	1	no	—
1741	C₄×D₃	—	4	1	no	—
1742	C₄×D₃	—	4	1	no	—
1743	C₄×D₃	—	4	1	no	—
1744	C₄×D₃	—	4	1	no	—
1745	C₄×D₃	—	4	1	no	—
1746	C₄×D₃	—	4	1	no	—
1747	Dic₆	—	4	1	no	—
1748	Dic₆	—	4	1	no	—
1749	Dic₆	—	4	1	no	—
1750	C₂×C₃²	—	2	2	no	—
1751	C₂×C₃²	—	2	2	no	—
1752	C₂×C₃²	—	4	1	no	—
1753	C₂×C₃²	—	4	1	no	—
1754	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1755	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1756	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1757	C₃×D₃	—	2	2	no	—
1758	C₃×D₃	—	2	2	no	—
1759	C₃×D₃	—	2	2	no	—
1760	C₃×D₃	—	4	1	no	—
1761	C₃×D₃	—	4	1	no	—
1762	C₃×D₃	—	4	1	no	—
1763	C₃×D₃	—	4	1	no	—
1764	C₂⁴	—	3	1	no	—
1765	C₂⁴	—	3	1	no	—
1766	C₂⁴	—	3	1	no	—
1767	C₂⁴	—	3	1	no	—
1768	C₂⁴	—	3	1	no	—
1769	C₂⁴	—	3	1	no	—
1770	C₂⁴	—	3	1	no	—
1771	C₂⁴	—	3	1	no	—
1772	C₂⁴	—	6	4	no	—
1773	C₂⁴	—	12	2	no	—
1774	C₂⁴	—	12	2	no	—
1775	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1776	#41	—	12	2	no	—
1777	#41	—	12	2	no	—
1778	#41	—	12	2	no	—
1779	#41	—	12	2	no	—
1780	C₂×Q₈	—	3	1	no	—
1781	C₂×Q₈	—	3	1	no	—
1782	C₂×Q₈	—	3	1	no	—
1783	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1784	C₂×D₄	—	3	1	no	—
1785	C₂×D₄	—	3	1	no	—
1786	C₂×D₄	—	3	1	no	—
1787	C₂×D₄	—	3	1	no	—
1788	C₂×D₄	—	3	1	no	—
1789	C₂×D₄	—	3	1	no	—
1790	C₂×D₄	—	3	1	no	—
1791	C₂×D₄	—	3	1	no	—
1792	C₂×D₄	—	3	1	no	—
1793	C₂×D₄	—	3	1	no	—
1794	C₂×D₄	—	3	1	no	—
1795	C₂×D₄	—	3	1	no	—
1796	C₂×D₄	—	3	1	no	—
1797	C₂×D₄	—	3	1	no	—
1798	C₂×D₄	—	3	1	no	—
1799	C₂×D₄	—	3	1	no	—
1800	C₂×D₄	—	3	1	no	—
1801	C₂×D₄	—	3	1	no	—
1802	C₂×D₄	—	3	1	no	—
1803	C₂×D₄	—	3	1	no	—
1804	C₂×D₄	—	3	1	no	—
1805	C₂×D₄	—	3	1	no	—
1806	C₂×D₄	—	3	1	no	—
1807	C₂×D₄	—	3	1	no	—
1808	C₂×D₄	—	3	1	no	—
1809	C₂×D₄	—	6	4	no	—
1810	C₂×D₄	—	6	4	no	—
1811	C₂×D₄	—	12	2	no	—
1812	C₂×D₄	—	12	2	no	—
1813	C₂×D₄	—	12	2	no	—
1814	C₂×D₄	—	12	2	no	—
1815	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1816	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1817	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1818	C₂²×C₄	—	3	1	no	—
1819	C₂²×C₄	—	3	1	no	—
1820	C₂²×C₄	—	3	1	no	—
1821	C₂²×C₄	—	3	1	no	—
1822	C₂²×C₄	—	3	1	no	—
1823	C₂²×C₄	—	3	1	no	—
1824	C₂²×C₄	—	3	1	no	—
1825	C₂²×C₄	—	3	1	no	—
1826	C₂²×C₄	—	3	1	no	—
1827	C₂²×C₄	—	3	1	no	—
1828	C₂²×C₄	—	3	1	no	—
1829	C₂²×C₄	—	3	1	no	—
1830	C₂²×C₄	—	3	1	no	—
1831	C₂²×C₄	—	3	1	no	—
1832	C₂²×C₄	—	3	1	no	—
1833	C₂²×C₄	—	3	1	no	—
1834	C₂²×C₄	—	3	1	no	—
1835	C₂²×C₄	—	3	1	no	—
1836	C₂²×C₄	—	3	1	no	—
1837	C₂²×C₄	—	3	1	no	—
1838	C₂²×C₄	—	3	1	no	—
1839	C₂²×C₄	—	12	2	no	—
1840	C₂²×C₄	—	12	2	no	—
1841	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1842	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1843	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1844	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1845	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1846	C₄⋊C₄	—	3	1	no	—
1847	C₄⋊C₄	—	3	1	no	—
1848	C₄⋊C₄	—	3	1	no	—
1849	C₄⋊C₄	—	3	1	no	—
1850	C₄⋊C₄	—	3	1	no	—
1851	C₄⋊C₄	—	3	1	no	—
1852	C₄⋊C₄	—	3	1	no	—
1853	C₄⋊C₄	—	3	1	no	—
1854	C₄⋊C₄	—	3	1	no	—
1855	C₄⋊C₄	—	3	1	no	—
1856	C₄⋊C₄	—	3	1	no	—
1857	C₄⋊C₄	—	3	1	no	—
1858	C₄⋊C₄	—	3	1	no	—
1859	C₄⋊C₄	—	3	1	no	—
1860	C₄⋊C₄	—	3	1	no	—
1861	C₄⋊C₄	—	3	1	no	—
1862	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1863	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1864	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1865	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1866	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1867	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1868	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1869	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1870	C₂²⋊C₄	—	3	1	no	—
1871	C₂²⋊C₄	—	3	1	no	—
1872	C₂²⋊C₄	—	3	1	no	—
1873	C₂²⋊C₄	—	3	1	no	—
1874	C₂²⋊C₄	—	3	1	no	—
1875	C₂²⋊C₄	—	3	1	no	—
1876	C₂²⋊C₄	—	3	1	no	—
1877	C₂²⋊C₄	—	3	1	no	—
1878	C₂²⋊C₄	—	3	1	no	—
1879	C₂²⋊C₄	—	3	1	no	—
1880	C₂²⋊C₄	—	3	1	no	—
1881	C₂²⋊C₄	—	3	1	no	—
1882	C₂²⋊C₄	—	3	1	no	—
1883	C₂²⋊C₄	—	3	1	no	—
1884	C₂²⋊C₄	—	3	1	no	—
1885	C₂²⋊C₄	—	3	1	no	—
1886	C₂²⋊C₄	—	3	1	no	—
1887	C₂²⋊C₄	—	3	1	no	—
1888	C₂²⋊C₄	—	3	1	no	—
1889	C₂²⋊C₄	—	3	1	no	—
1890	C₂²⋊C₄	—	3	1	no	—
1891	C₂²⋊C₄	—	3	1	no	—
1892	C₂²⋊C₄	—	3	1	no	—
1893	C₂²⋊C₄	—	3	1	no	—
1894	C₂²⋊C₄	—	3	1	no	—
1895	C₂²⋊C₄	—	3	1	no	—
1896	C₂²⋊C₄	—	3	1	no	—
1897	C₂²⋊C₄	—	3	1	no	—
1898	C₂²⋊C₄	—	3	1	no	—
1899	C₂²⋊C₄	—	3	1	no	—
1900	C₂²⋊C₄	—	3	1	no	—
1901	C₂²⋊C₄	—	3	1	no	—
1902	C₂²⋊C₄	—	3	1	no	—
1903	C₂²⋊C₄	—	3	1	no	—
1904	C₂²⋊C₄	—	3	1	no	—
1905	C₂²⋊C₄	—	3	1	no	—
1906	C₂²⋊C₄	—	3	1	no	—
1907	C₂²⋊C₄	—	3	1	no	—
1908	C₂²⋊C₄	—	3	1	no	—
1909	C₂²⋊C₄	—	3	1	no	—
1910	C₂²⋊C₄	—	3	1	no	—
1911	C₂²⋊C₄	—	3	1	no	—
1912	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1913	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1914	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1915	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1916	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1917	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1918	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1919	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1920	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1921	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1922	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1923	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1924	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1925	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1926	C₄²	—	3	1	no	—
1927	C₄²	—	3	1	no	—
1928	C₄²	—	3	1	no	—
1929	C₄²	—	3	1	no	—
1930	C₄²	—	3	1	no	—
1931	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1932	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1933	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1934	C₂²×C₃	—	2	1	no	—
1935	C₂²×C₃	—	2	1	no	—
1936	C₂²×C₃	—	2	1	no	—
1937	C₂²×C₃	—	2	1	no	—
1938	C₂²×C₃	—	2	1	no	—
1939	C₂²×C₃	—	2	1	no	—
1940	C₂²×C₃	—	2	1	no	—
1941	C₂²×C₃	—	2	1	no	—
1942	C₂²×C₃	—	2	1	no	—
1943	C₂²×C₃	—	2	1	no	—
1944	C₂²×C₃	—	2	1	no	—
1945	C₂²×C₃	—	2	1	no	—
1946	C₂²×C₃	—	2	1	no	—
1947	C₂²×C₃	—	2	1	no	—
1948	C₂²×C₃	—	2	1	no	—
1949	C₂²×C₃	—	2	1	no	—
1950	C₂²×C₃	—	2	1	no	—
1951	C₂²×C₃	—	2	1	no	—
1952	C₂²×C₃	—	2	1	no	—
1953	C₂²×C₃	—	2	1	no	—
1954	C₂²×C₃	—	2	2	no	—
1955	C₂²×C₃	—	2	2	no	—
1956	C₂²×C₃	—	2	1	no	—
1957	C₂²×C₃	—	3	2	no	—
1958	C₂²×C₃	—	3	2	no	—
1959	C₂²×C₃	—	3	2	no	—
1960	C₂²×C₃	—	4	1	no	—
1961	C₂²×C₃	—	4	1	no	—
1962	C₂²×C₃	—	4	1	no	—
1963	C₂²×C₃	—	4	1	no	—
1964	C₂²×C₃	—	4	1	no	—
1965	C₂²×C₃	—	4	1	no	—
1966	C₂²×C₃	—	4	1	no	—
1967	C₂²×C₃	—	4	1	no	—
1968	C₂²×C₃	—	4	1	no	—
1969	C₂²×C₃	—	4	1	no	—
1970	C₂²×C₃	—	4	4	no	—
1971	C₂²×C₃	—	4	4	no	—
1972	C₂²×C₃	—	6	8	no	—
1973	C₂²×C₃	—	6	1	no	—
1974	C₂²×C₃	—	6	1	no	—
1975	C₂²×C₃	—	6	1	no	—
1976	C₂²×C₃	—	6	1	no	—
1977	C₂²×C₃	—	6	1	no	—
1978	C₂²×C₃	—	6	1	no	—
1979	C₂²×C₃	—	6	1	no	—
1980	C₂²×C₃	—	6	1	no	—
1981	C₂²×C₃	—	6	1	no	—
1982	C₂²×C₃	—	6	1	no	—
1983	C₂²×C₃	—	6	1	no	—
1984	C₂²×C₃	—	6	1	no	—
1985	C₂²×C₃	—	6	1	no	—
1986	C₂²×C₃	—	6	1	no	—
1987	C₂²×C₃	—	6	1	no	—
1988	C₂²×C₃	—	6	1	no	—
1989	C₂²×C₃	—	6	1	no	—
1990	C₂²×C₃	—	6	1	no	—
1991	C₂²×C₃	—	8	4	no	—
1992	C₂²×C₃	—	12	4	no	—
1993	C₂²×C₃	—	12	4	no	—
1994	C₂²×C₃	—	12	4	no	—
1995	C₂²×C₃	—	12	4	no	—
1996	C₂²×C₃	—	12	4	no	—
1997	C₂²×C₃	—	24	2	no	—
1998	C₂²×C₃	—	24	2	no	—
1999	C₂²×C₃	D₃×#41	1	2	yes	—
2000	C₂²×C₃	#1009	1	2	yes	—
2001	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
2002	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
2003	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
2004	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
2005	C₂×D₃	—	2	8	no	—
2006	C₂×D₃	—	2	1	no	—
2007	C₂×D₃	—	2	1	no	—
2008	C₂×D₃	—	2	1	no	—
2009	C₂×D₃	—	2	1	no	—
2010	C₂×D₃	—	2	1	no	—
2011	C₂×D₃	—	2	1	no	—
2012	C₂×D₃	—	2	1	no	—
2013	C₂×D₃	—	2	1	no	—
2014	C₂×D₃	—	2	1	no	—
2015	C₂×D₃	—	2	1	no	—
2016	C₂×D₃	—	2	1	no	—
2017	C₂×D₃	—	2	1	no	—
2018	C₂×D₃	—	2	1	no	—
2019	C₂×D₃	—	2	1	no	—
2020	C₂×D₃	—	2	1	no	—
2021	C₂×D₃	—	2	1	no	—
2022	C₂×D₃	—	2	1	no	—
2023	C₂×D₃	—	2	1	no	—
2024	C₂×D₃	—	4	4	no	—
2025	C₂×D₃	—	4	4	no	—
2026	C₂×D₃	—	4	4	no	—
2027	C₂×D₃	—	4	4	no	—
2028	C₂×D₃	—	4	4	no	—
2029	C₂×D₃	—	8	2	no	—
2030	C₂×D₃	—	8	2	no	—
2031	C₂×D₃	C₂×C₃×#41	1	2	yes	—
2032	C₂×D₃	C₂×C₃×#41	1	2	yes	—
2033	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
2034	C₃×C₄	—	2	1	no	—
2035	C₃×C₄	—	2	1	no	—
2036	C₃×C₄	—	2	1	no	—
2037	C₃×C₄	—	2	1	no	—
2038	C₃×C₄	—	2	1	no	—
2039	C₃×C₄	—	2	1	no	—
2040	C₃×C₄	—	2	1	no	—
2041	C₃×C₄	—	2	1	no	—
2042	C₃×C₄	—	2	1	no	—
2043	C₃×C₄	—	2	1	no	—
2044	C₃×C₄	—	2	1	no	—
2045	C₃×C₄	—	2	1	no	—
2046	C₃×C₄	—	2	1	no	—
2047	C₃×C₄	—	2	1	no	—
2048	C₃×C₄	—	2	1	no	—
2049	C₃×C₄	—	2	1	no	—
2050	C₃×C₄	—	2	1	no	—
2051	C₃×C₄	—	2	1	no	—
2052	C₃×C₄	—	2	1	no	—
2053	C₃×C₄	—	2	1	no	—
2054	C₃×C₄	—	2	1	no	—
2055	C₃×C₄	—	2	1	no	—
2056	C₃×C₄	—	4	1	no	—
2057	C₃×C₄	—	4	1	no	—
2058	C₃×C₄	—	4	1	no	—
2059	C₃×C₄	—	4	1	no	—
2060	C₃×C₄	—	4	1	no	—
2061	C₃×C₄	—	4	1	no	—
2062	C₃×C₄	—	4	1	no	—
2063	C₃×C₄	—	4	1	no	—
2064	C₃×C₄	—	4	1	no	—
2065	C₃×C₄	—	4	1	no	—
2066	C₃×C₄	—	4	1	no	—
2067	C₃×C₄	—	6	1	no	—
2068	C₃×C₄	—	6	1	no	—
2069	C₃×C₄	—	6	1	no	—
2070	C₃×C₄	—	6	1	no	—
2071	C₃×C₄	—	6	1	no	—
2072	C₃×C₄	—	6	1	no	—
2073	C₃×C₄	—	6	1	no	—
2074	C₃×C₄	—	6	1	no	—
2075	C₃×C₄	—	6	1	no	—
2076	Dic₃	—	2	1	no	—
2077	Dic₃	—	2	1	no	—
2078	Dic₃	—	2	1	no	—
2079	Dic₃	—	2	1	no	—
2080	Dic₃	—	2	1	no	—
2081	Dic₃	—	2	1	no	—
2082	Dic₃	—	2	1	no	—
2083	Dic₃	—	2	1	no	—
2084	Dic₃	—	2	1	no	—
2085	C₃²	#3490	1	1	yes	characteristic, complemented, Sylow
2086	C₂³	—	2	2	no	—
2087	C₂³	—	2	2	no	—
2088	C₂³	—	3	1	no	—
2089	C₂³	—	3	1	no	—
2090	C₂³	—	3	1	no	—
2091	C₂³	—	3	4	no	—
2092	C₂³	—	3	1	no	—
2093	C₂³	—	3	1	no	—
2094	C₂³	—	3	1	no	—
2095	C₂³	—	3	1	no	—
2096	C₂³	—	4	1	no	—
2097	C₂³	—	6	2	no	—
2098	C₂³	—	6	2	no	—
2099	C₂³	—	6	2	no	—
2100	C₂³	—	6	2	no	—
2101	C₂³	—	6	2	no	—
2102	C₂³	—	6	2	no	—
2103	C₂³	—	6	2	no	—
2104	C₂³	—	6	2	no	—
2105	C₂³	—	6	2	no	—
2106	C₂³	—	6	2	no	—
2107	C₂³	—	6	2	no	—
2108	C₂³	—	6	2	no	—
2109	C₂³	—	12	1	no	—
2110	C₂³	—	12	1	no	—
2111	C₂³	—	12	1	no	—
2112	C₂³	—	12	1	no	—
2113	C₂³	—	12	1	no	—
2114	C₂³	—	12	1	no	—
2115	C₂³	—	12	1	no	—
2116	C₂³	—	12	1	no	—
2117	C₂³	—	12	1	no	—
2118	C₂³	—	12	1	no	—
2119	C₂³	—	12	1	no	—
2120	C₂³	—	12	16	no	—
2121	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2122	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2123	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2124	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2125	Q₈	—	4	1	no	—
2126	Q₈	—	12	1	no	—
2127	Q₈	—	12	1	no	—
2128	Q₈	—	12	1	no	—
2129	D₄	—	2	2	no	—
2130	D₄	—	2	2	no	—
2131	D₄	—	4	1	no	—
2132	D₄	—	6	2	no	—
2133	D₄	—	6	2	no	—
2134	D₄	—	6	2	no	—
2135	D₄	—	6	2	no	—
2136	D₄	—	6	2	no	—
2137	D₄	—	6	2	no	—
2138	D₄	—	6	2	no	—
2139	D₄	—	6	2	no	—
2140	D₄	—	6	2	no	—
2141	D₄	—	6	2	no	—
2142	D₄	—	6	2	no	—
2143	D₄	—	6	2	no	—
2144	D₄	—	6	2	no	—
2145	D₄	—	6	2	no	—
2146	D₄	—	12	1	no	—
2147	D₄	—	12	1	no	—
2148	D₄	—	12	1	no	—
2149	D₄	—	12	1	no	—
2150	D₄	—	12	1	no	—
2151	D₄	—	12	1	no	—
2152	D₄	—	12	1	no	—
2153	D₄	—	12	1	no	—
2154	D₄	—	12	1	no	—
2155	D₄	—	12	1	no	—
2156	D₄	—	12	1	no	—
2157	C₂×C₄	—	2	2	no	—
2158	C₂×C₄	—	2	2	no	—
2159	C₂×C₄	—	3	1	no	—
2160	C₂×C₄	—	3	1	no	—
2161	C₂×C₄	—	3	1	no	—
2162	C₂×C₄	—	3	1	no	—
2163	C₂×C₄	—	3	1	no	—
2164	C₂×C₄	—	3	1	no	—
2165	C₂×C₄	—	3	1	no	—
2166	C₂×C₄	—	3	1	no	—
2167	C₂×C₄	—	3	1	no	—
2168	C₂×C₄	—	4	1	no	—
2169	C₂×C₄	—	4	1	no	—
2170	C₂×C₄	—	4	1	no	—
2171	C₂×C₄	—	6	2	no	—
2172	C₂×C₄	—	6	2	no	—
2173	C₂×C₄	—	6	2	no	—
2174	C₂×C₄	—	6	2	no	—
2175	C₂×C₄	—	12	1	no	—
2176	C₂×C₄	—	12	1	no	—
2177	C₂×C₄	—	12	1	no	—
2178	C₂×C₄	—	12	1	no	—
2179	C₂×C₄	—	12	1	no	—
2180	C₂×C₄	—	12	1	no	—
2181	C₂×C₄	—	12	1	no	—
2182	C₂×C₄	—	12	1	no	—
2183	C₂×C₄	—	12	1	no	—
2184	C₂×C₄	—	12	1	no	—
2185	C₂×C₄	—	12	1	no	—
2186	C₂×C₄	—	12	1	no	—
2187	C₂×C₄	—	12	1	no	—
2188	C₂×C₄	—	12	1	no	—
2189	C₂×C₄	—	12	1	no	—
2190	C₂×C₄	—	12	1	no	—
2191	C₂×C₄	—	12	1	no	—
2192	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2193	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2194	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2195	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2196	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2197	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2198	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2199	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2200	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2201	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2202	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2203	C₂×C₃	—	2	2	no	—
2204	C₂×C₃	—	2	2	no	—
2205	C₂×C₃	—	2	2	no	—
2206	C₂×C₃	—	2	2	no	—
2207	C₂×C₃	—	2	1	no	—
2208	C₂×C₃	—	2	1	no	—
2209	C₂×C₃	—	2	1	no	—
2210	C₂×C₃	—	4	2	no	—
2211	C₂×C₃	—	4	2	no	—
2212	C₂×C₃	—	4	1	no	—
2213	C₂×C₃	—	4	1	no	—
2214	C₂×C₃	—	4	1	no	—
2215	C₂×C₃	—	4	1	no	—
2216	C₂×C₃	—	6	2	no	—
2217	C₂×C₃	—	6	2	no	—
2218	C₂×C₃	—	6	2	no	—
2219	C₂×C₃	—	8	1	no	—
2220	C₂×C₃	—	8	1	no	—
2221	C₂×C₃	—	12	1	no	—
2222	C₂×C₃	—	12	1	no	—
2223	C₂×C₃	—	12	1	no	—
2224	C₂×C₃	—	12	1	no	—
2225	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
2226	C₂×C₃	C₂×#1009	1	1	yes	characteristic
2227	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
2228	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
2229	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2230	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2231	D₃	—	2	2	no	—
2232	D₃	—	2	2	no	—
2233	D₃	—	2	2	no	—
2234	D₃	—	4	1	no	—
2235	D₃	—	4	1	no	—
2236	D₃	—	4	1	no	—
2237	D₃	—	4	1	no	—
2238	C₂²	—	2	1	no	—
2239	C₂²	—	2	1	no	—
2240	C₂²	—	2	1	no	—
2241	C₂²	—	2	1	no	—
2242	C₂²	—	2	1	no	—
2243	C₂²	—	2	1	no	—
2244	C₂²	—	2	1	no	—
2245	C₂²	—	2	1	no	—
2246	C₂²	—	2	1	no	—
2247	C₂²	—	2	1	no	—
2248	C₂²	—	3	2	no	—
2249	C₂²	—	3	2	no	—
2250	C₂²	—	3	2	no	—
2251	C₂²	—	4	4	no	—
2252	C₂²	—	6	8	no	—
2253	C₂²	—	6	1	no	—
2254	C₂²	—	6	1	no	—
2255	C₂²	—	6	1	no	—
2256	C₂²	—	6	1	no	—
2257	C₂²	—	6	1	no	—
2258	C₂²	—	6	1	no	—
2259	C₂²	—	6	1	no	—
2260	C₂²	—	6	1	no	—
2261	C₂²	—	6	1	no	—
2262	C₂²	—	6	1	no	—
2263	C₂²	—	6	1	no	—
2264	C₂²	—	6	1	no	—
2265	C₂²	—	6	1	no	—
2266	C₂²	—	6	1	no	—
2267	C₂²	—	6	1	no	—
2268	C₂²	—	6	1	no	—
2269	C₂²	—	6	1	no	—
2270	C₂²	—	6	1	no	—
2271	C₂²	—	12	4	no	—
2272	C₂²	—	12	4	no	—
2273	C₂²	—	12	4	no	—
2274	C₂²	—	12	4	no	—
2275	C₂²	—	12	4	no	—
2276	C₂²	—	24	2	no	—
2277	C₂²	—	24	2	no	—
2278	C₂²	C₃×D₃×#41	1	2	yes	—
2279	C₂²	C₃×#1009	1	2	yes	—
2280	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
2281	C₄	—	2	1	no	—
2282	C₄	—	2	1	no	—
2283	C₄	—	2	1	no	—
2284	C₄	—	2	1	no	—
2285	C₄	—	2	1	no	—
2286	C₄	—	2	1	no	—
2287	C₄	—	2	1	no	—
2288	C₄	—	2	1	no	—
2289	C₄	—	2	1	no	—
2290	C₄	—	2	1	no	—
2291	C₄	—	2	1	no	—
2292	C₄	—	6	1	no	—
2293	C₄	—	6	1	no	—
2294	C₄	—	6	1	no	—
2295	C₄	—	6	1	no	—
2296	C₄	—	6	1	no	—
2297	C₄	—	6	1	no	—
2298	C₄	—	6	1	no	—
2299	C₄	—	6	1	no	—
2300	C₄	—	6	1	no	—
2301	C₃	—	2	1	no	—
2302	C₃	#86815	1	1	yes	characteristic, direct product factor
2303	C₃	C₃×#3490	1	1	yes	characteristic, complemented
2304	C₂	—	2	2	no	—
2305	C₂	—	2	2	no	—
2306	C₂	—	4	1	no	—
2307	C₂	—	4	1	no	—
2308	C₂	—	6	2	no	—
2309	C₂	—	6	2	no	—
2310	C₂	—	6	2	no	—
2311	C₂	—	12	1	no	—
2312	C₂	—	12	1	no	—
2313	C₂	—	12	1	no	—
2314	C₂	—	12	1	no	—
2315	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
2316	C₂	C₂×C₃×#1009	1	1	yes	characteristic
2317	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×#551	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#551	D₃
hypocenter	C₃	C₃×#3490
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#551

Complements

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

N	H ≅ G/N	type
1. C₃²×#551	C₂	semidirect
2. C₃×#5705	C₂	semidirect
3. C₃×#5705	C₂	semidirect
4. C₃×#5704	C₂	semidirect
5. C₃×#5704	C₂	semidirect
6. C₃×#5678	C₂	semidirect
7. C₃×#5676	C₂	semidirect
8. C₃×#5658	C₂	semidirect
9. C₃×#5657	C₂	semidirect
10. C₃×#5656	C₂	semidirect
11. C₃×#5654	C₂	semidirect
12. C₃×#5654	C₂	semidirect
13. C₃×#5653	C₂	semidirect
14. C₃×#5637	C₂	semidirect
15. C₃×#5634	C₂	semidirect
16. C₃×#5630	C₂	semidirect
17. C₃×#5627	C₂	semidirect
18. C₃×#5591	C₂	semidirect
19. C₃×D₃×#120	C₂	semidirect
20. C₃×#5554	C₂	semidirect
21. C₃×#5550	C₂	semidirect
22. C₃×#5547	C₂	semidirect
23. C₃×#5545	C₂	semidirect
24. C₃×#5527	C₂	semidirect
25. C₃×#5527	C₂	semidirect
26. C₃×#5524	C₂	semidirect
27. C₃×#5521	C₂	semidirect
28. C₃×#5495	C₂	semidirect
29. C₃×#5490	C₂	semidirect
30. C₂×C₃×#882	C₂	semidirect
31. C₂×C₃×D₃×C₂²⋊C₄	C₂	semidirect
33. #86815	C₃	direct (N × H)
35. C₂²×C₃×#67	C₂²	semidirect
36. C₂×C₃×#239	C₂²	semidirect
37. C₂×C₃×#237	C₂²	semidirect
39. C₂×C₃×D₃×D₄	C₂²	semidirect
40. C₂×C₃×D₃×D₄	C₂²	semidirect
41. C₂×C₃×#235	C₂²	semidirect
42. C₂×C₃×#235	C₂²	semidirect
44. C₂²×C₃×D₁₂	C₂²	semidirect
45. C₂²×C₃×C₄×D₃	C₂²	semidirect
46. C₂²×C₃×C₄×D₃	C₂²	semidirect
47. C₃²×#126	C₂²	semidirect
48. C₃²×#126	C₂²	semidirect
49. C₃²×#124	C₂²	semidirect
50. C₃²×#123	C₂²	semidirect
51. C₃²×#123	C₂²	semidirect
52. C₃²×#123	C₂²	semidirect
53. C₃²×C₂²⋊Q₈	C₂²	semidirect
54. C₃²×C₂²⋊Q₈	C₂²	semidirect
56. C₃²×C₄×D₄	C₂²	semidirect
57. C₃²×C₄×D₄	C₂²	semidirect
58. C₃²×#117	C₂²	semidirect
59. C₃²×#117	C₂²	semidirect
60. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
61. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
63. C₂×C₃×#217	C₂²	semidirect
64. C₃×#947	C₂²	semidirect
65. C₃×#946	C₂²	semidirect
66. C₃×#946	C₂²	semidirect
67. C₃×#939	C₂²	semidirect
68. C₃×#939	C₂²	semidirect
69. C₃×#938	C₂²	semidirect
71. C₃×#937	C₂²	semidirect
72. C₃×#937	C₂²	semidirect
73. C₃×#937	C₂²	semidirect
74. C₃×D₄×Dic₃	C₂²	semidirect
75. C₃×#930	C₂²	semidirect
76. C₃×#930	C₂²	semidirect
77. C₃×#929	C₂²	semidirect
78. C₃×#929	C₂²	semidirect
79. C₃×C₄×#67	C₂²	semidirect
80. C₃×C₄×#67	C₂²	semidirect
81. C₃×C₄×#67	C₂²	semidirect
83. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
84. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
85. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
86. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
87. C₃×#926	C₂²	semidirect
88. C₃×#924	C₂²	semidirect
89. C₃×#898	C₂²	semidirect
90. C₃×#898	C₂²	semidirect
91. C₃×#898	C₂²	semidirect
92. C₃×#897	C₂²	semidirect
93. C₃×#897	C₂²	semidirect
94. C₃×#897	C₂²	semidirect
95. C₃×#896	C₂²	semidirect
96. C₃×#896	C₂²	semidirect
97. C₃×#896	C₂²	semidirect
98. C₃×#896	C₂²	semidirect
99. C₃×#896	C₂²	semidirect
100. C₃×#895	C₂²	semidirect
101. C₃×#895	C₂²	semidirect
102. C₃×#895	C₂²	semidirect
103. C₃×#895	C₂²	semidirect
104. C₃×#895	C₂²	semidirect
105. C₃×#894	C₂²	semidirect
106. C₃×#894	C₂²	semidirect
107. C₃×#894	C₂²	semidirect
108. C₃×#894	C₂²	semidirect
109. C₃×#894	C₂²	semidirect
110. C₃×#894	C₂²	semidirect
111. C₃×#894	C₂²	semidirect
112. C₃×#894	C₂²	semidirect
113. C₃×#893	C₂²	semidirect
114. C₃×#893	C₂²	semidirect
115. C₃×#893	C₂²	semidirect
116. C₃×#893	C₂²	semidirect
117. C₃×#893	C₂²	semidirect
118. C₃×#893	C₂²	semidirect
119. C₃×#892	C₂²	semidirect
120. C₃×#892	C₂²	semidirect
121. C₃×#886	C₂²	semidirect
122. C₃×#886	C₂²	semidirect
123. C₃×#886	C₂²	semidirect
124. C₃×#885	C₂²	semidirect
125. C₃×#885	C₂²	semidirect
126. C₃×#885	C₂²	semidirect
127. C₃×#885	C₂²	semidirect
128. C₃×#884	C₂²	semidirect
129. C₃×#884	C₂²	semidirect
130. C₃×#884	C₂²	semidirect
131. C₃×#884	C₂²	semidirect
132. C₃×#884	C₂²	semidirect
133. C₃×#884	C₂²	semidirect
134. C₃×#883	C₂²	semidirect
135. C₃×#883	C₂²	semidirect
136. C₃×#883	C₂²	semidirect
137. C₃×#883	C₂²	semidirect
143. C₃×#882	C₂²	semidirect
144. C₃×#882	C₂²	semidirect
145. C₃×#882	C₂²	semidirect
146. C₃×#882	C₂²	semidirect
147. C₃×#882	C₂²	semidirect
148. C₃×#882	C₂²	semidirect
149. C₃×#882	C₂²	semidirect
150. C₃×#882	C₂²	semidirect
151. C₃×#882	C₂²	semidirect
152. C₃×#67⋊C₄	C₂²	semidirect
153. C₃×#67⋊C₄	C₂²	semidirect
154. C₃×#67⋊C₄	C₂²	semidirect
155. C₃×#67⋊C₄	C₂²	semidirect
156. C₃×#67⋊C₄	C₂²	semidirect
160. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
161. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
162. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
163. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
164. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
165. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
166. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
167. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
168. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
169. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
170. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
171. C₃×#879	C₂²	semidirect
172. C₃×#879	C₂²	semidirect
173. C₃×#878	C₂²	semidirect
174. C₃×#878	C₂²	semidirect
175. C₃×#878	C₂²	semidirect
176. C₃×#877	C₂²	semidirect
177. C₃×#876	C₂²	semidirect
178. C₃×#875	C₂²	semidirect
179. C₃×#875	C₂²	semidirect
180. C₃×C₄×D₁₂	C₂²	semidirect
181. C₃×C₄×D₁₂	C₂²	semidirect
182. C₃×C₄×D₁₂	C₂²	semidirect
183. C₃×C₄×D₁₂	C₂²	semidirect
184. C₃×C₄×D₁₂	C₂²	semidirect
185. C₃×C₄×D₁₂	C₂²	semidirect
186. C₃×C₄×D₁₂	C₂²	semidirect
187. C₃×#872	C₂²	semidirect
188. C₃×#872	C₂²	semidirect
197. C₃×#551	D₃	semidirect
198. C₃×#551	C₂×C₃	semidirect
222. #5705	C₂×C₃	semidirect
223. #5705	C₂×C₃	semidirect
224. #5704	C₂×C₃	semidirect
225. #5704	C₂×C₃	semidirect
226. #5678	C₂×C₃	semidirect
227. #5676	C₂×C₃	semidirect
228. #5658	C₂×C₃	semidirect
229. #5657	C₂×C₃	semidirect
230. #5656	C₂×C₃	semidirect
231. #5654	C₂×C₃	semidirect
232. #5654	C₂×C₃	semidirect
233. #5653	C₂×C₃	semidirect
234. #5637	C₂×C₃	semidirect
235. #5634	C₂×C₃	semidirect
236. #5630	C₂×C₃	semidirect
237. #5627	C₂×C₃	semidirect
238. #5591	C₂×C₃	semidirect
239. D₃×#120	C₂×C₃	semidirect
240. #5554	C₂×C₃	semidirect
241. #5550	C₂×C₃	semidirect
242. #5547	C₂×C₃	semidirect
243. #5545	C₂×C₃	semidirect
244. #5527	C₂×C₃	semidirect
245. #5527	C₂×C₃	semidirect
246. #5524	C₂×C₃	semidirect
247. #5521	C₂×C₃	semidirect
248. #5495	C₂×C₃	semidirect
249. #5490	C₂×C₃	semidirect
250. C₂×#882	C₂×C₃	semidirect
251. C₂×D₃×C₂²⋊C₄	C₂×C₃	semidirect
264. C₂×C₃²×Q₈	C₂³	semidirect
272. C₂²×C₃²×C₄	C₂³	semidirect
284. C₂×C₃×#67	C₂³	semidirect
285. C₂×C₃×#67	C₂³	semidirect
289. C₂²×C₃×Dic₃	C₂³	semidirect
310. C₂×C₃×D₁₂	C₂³	semidirect
311. C₂×C₃×D₁₂	C₂³	semidirect
325. C₂×C₃×C₄×D₃	C₂³	semidirect
326. C₂×C₃×C₄×D₃	C₂³	semidirect
327. C₂×C₃×C₄×D₃	C₂³	semidirect
328. C₂×C₃×C₄×D₃	C₂³	semidirect
329. C₂×C₃×C₄×D₃	C₂³	semidirect
330. C₂×C₃×C₄×D₃	C₂³	semidirect
331. C₂×C₃×Dic₆	C₂³	semidirect
332. C₂×C₃×Dic₆	C₂³	semidirect
333. C₂×C₃×Dic₆	C₂³	semidirect
334. C₃²×C₄⋊C₄	C₂³	semidirect
335. C₃²×C₄⋊C₄	C₂³	semidirect
336. C₃²×C₄⋊C₄	C₂³	semidirect
337. C₃²×C₄⋊C₄	C₂³	semidirect
338. C₃²×C₄⋊C₄	C₂³	semidirect
339. C₃²×C₄⋊C₄	C₂³	semidirect
340. C₃²×C₄⋊C₄	C₂³	semidirect
341. C₃²×C₄⋊C₄	C₂³	semidirect
353. C₃²×C₂²⋊C₄	C₂³	semidirect
354. C₃²×C₂²⋊C₄	C₂³	semidirect
355. C₃²×C₂²⋊C₄	C₂³	semidirect
356. C₃²×C₄²	C₂³	semidirect
357. C₃²×C₄²	C₂³	semidirect
358. C₃²×C₄²	C₂³	semidirect
366. C₃×#217	C₂³	semidirect
389. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
390. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
391. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
392. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
393. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
394. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
395. C₃×(C₂×D₃)⋊C₄	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×C₄⋊Dic₃	C₂³	semidirect
402. C₃×C₄⋊Dic₃	C₂³	semidirect
403. C₃×C₄⋊Dic₃	C₂³	semidirect
404. C₃×C₄⋊Dic₃	C₂³	semidirect
405. C₃×C₄⋊Dic₃	C₂³	semidirect
406. C₃×C₄⋊Dic₃	C₂³	semidirect
407. C₃×Dic₃⋊C₄	C₂³	semidirect
408. C₃×Dic₃⋊C₄	C₂³	semidirect
409. C₃×Dic₃⋊C₄	C₂³	semidirect
410. C₃×Dic₃⋊C₄	C₂³	semidirect
411. C₃×Dic₃⋊C₄	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×C₄×Dic₃	C₂³	semidirect
418. C₃×C₄×Dic₃	C₂³	semidirect
419. C₃×C₄×Dic₃	C₂³	semidirect
420. C₃×C₄×Dic₃	C₂³	semidirect
421. C₃×C₄×Dic₃	C₂³	semidirect
437. C₂²×#67	C₂²×C₃	semidirect
438. C₂×#239	C₂²×C₃	semidirect
439. C₂×#237	C₂²×C₃	semidirect
441. C₂×D₃×D₄	C₂²×C₃	semidirect
442. C₂×D₃×D₄	C₂²×C₃	semidirect
443. C₂×#235	C₂²×C₃	semidirect
444. C₂×#235	C₂²×C₃	semidirect
446. C₂²×D₁₂	C₂²×C₃	semidirect
447. C₂²×C₄×D₃	C₂²×C₃	semidirect
448. C₂²×C₄×D₃	C₂²×C₃	semidirect
457. C₃×#126	C₂×D₃	semidirect
458. C₃×#126	C₂×D₃	semidirect
459. C₃×#126	C₂²×C₃	semidirect
460. C₃×#126	C₂²×C₃	semidirect
469. C₃×#124	C₂×D₃	semidirect
470. C₃×#124	C₂²×C₃	semidirect
491. C₃×#123	C₂×D₃	semidirect
492. C₃×#123	C₂×D₃	semidirect
493. C₃×#123	C₂×D₃	semidirect
494. C₃×#123	C₂²×C₃	semidirect
495. C₃×#123	C₂²×C₃	semidirect
496. C₃×#123	C₂²×C₃	semidirect
513. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
514. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
515. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
516. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
579. C₃×C₄×D₄	C₂×D₃	semidirect
580. C₃×C₄×D₄	C₂×D₃	semidirect
581. C₃×C₄×D₄	C₂²×C₃	semidirect
582. C₃×C₄×D₄	C₂²×C₃	semidirect
591. C₃×#117	C₂×D₃	semidirect
592. C₃×#117	C₂×D₃	semidirect
593. C₃×#117	C₂²×C₃	semidirect
594. C₃×#117	C₂²×C₃	semidirect
617. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
618. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
619. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
620. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
622. C₂×#217	C₂²×C₃	semidirect
623. #947	C₂²×C₃	semidirect
624. #946	C₂²×C₃	semidirect
625. #946	C₂²×C₃	semidirect
626. #939	C₂²×C₃	semidirect
627. #939	C₂²×C₃	semidirect
628. #938	C₂²×C₃	semidirect
630. #937	C₂²×C₃	semidirect
631. #937	C₂²×C₃	semidirect
632. #937	C₂²×C₃	semidirect
633. D₄×Dic₃	C₂²×C₃	semidirect
634. #930	C₂²×C₃	semidirect
635. #930	C₂²×C₃	semidirect
636. #929	C₂²×C₃	semidirect
637. #929	C₂²×C₃	semidirect
638. C₄×#67	C₂²×C₃	semidirect
639. C₄×#67	C₂²×C₃	semidirect
640. C₄×#67	C₂²×C₃	semidirect
642. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
643. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
644. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
645. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
646. #926	C₂²×C₃	semidirect
647. #924	C₂²×C₃	semidirect
648. #898	C₂²×C₃	semidirect
649. #898	C₂²×C₃	semidirect
650. #898	C₂²×C₃	semidirect
651. #897	C₂²×C₃	semidirect
652. #897	C₂²×C₃	semidirect
653. #897	C₂²×C₃	semidirect
654. #896	C₂²×C₃	semidirect
655. #896	C₂²×C₃	semidirect
656. #896	C₂²×C₃	semidirect
657. #896	C₂²×C₃	semidirect
658. #896	C₂²×C₃	semidirect
659. #895	C₂²×C₃	semidirect
660. #895	C₂²×C₃	semidirect
661. #895	C₂²×C₃	semidirect
662. #895	C₂²×C₃	semidirect
663. #895	C₂²×C₃	semidirect
664. #894	C₂²×C₃	semidirect
665. #894	C₂²×C₃	semidirect
666. #894	C₂²×C₃	semidirect
667. #894	C₂²×C₃	semidirect
668. #894	C₂²×C₃	semidirect
669. #894	C₂²×C₃	semidirect
670. #894	C₂²×C₃	semidirect
671. #894	C₂²×C₃	semidirect
672. #893	C₂²×C₃	semidirect
673. #893	C₂²×C₃	semidirect
674. #893	C₂²×C₃	semidirect
675. #893	C₂²×C₃	semidirect
676. #893	C₂²×C₃	semidirect
677. #893	C₂²×C₃	semidirect
678. #892	C₂²×C₃	semidirect
679. #892	C₂²×C₃	semidirect
680. #886	C₂²×C₃	semidirect
681. #886	C₂²×C₃	semidirect
682. #886	C₂²×C₃	semidirect
683. #885	C₂²×C₃	semidirect
684. #885	C₂²×C₃	semidirect
685. #885	C₂²×C₃	semidirect
686. #885	C₂²×C₃	semidirect
687. #884	C₂²×C₃	semidirect
688. #884	C₂²×C₃	semidirect
689. #884	C₂²×C₃	semidirect
690. #884	C₂²×C₃	semidirect
691. #884	C₂²×C₃	semidirect
692. #884	C₂²×C₃	semidirect
693. #883	C₂²×C₃	semidirect
694. #883	C₂²×C₃	semidirect
695. #883	C₂²×C₃	semidirect
696. #883	C₂²×C₃	semidirect
702. #882	C₂²×C₃	semidirect
703. #882	C₂²×C₃	semidirect
704. #882	C₂²×C₃	semidirect
705. #882	C₂²×C₃	semidirect
706. #882	C₂²×C₃	semidirect
707. #882	C₂²×C₃	semidirect
708. #882	C₂²×C₃	semidirect
709. #882	C₂²×C₃	semidirect
710. #882	C₂²×C₃	semidirect
711. #67⋊C₄	C₂²×C₃	semidirect
712. #67⋊C₄	C₂²×C₃	semidirect
713. #67⋊C₄	C₂²×C₃	semidirect
714. #67⋊C₄	C₂²×C₃	semidirect
715. #67⋊C₄	C₂²×C₃	semidirect
719. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
720. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
721. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
722. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
723. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
724. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
725. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
726. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
727. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
728. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
729. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
730. #879	C₂²×C₃	semidirect
731. #879	C₂²×C₃	semidirect
732. #878	C₂²×C₃	semidirect
733. #878	C₂²×C₃	semidirect
734. #878	C₂²×C₃	semidirect
735. #877	C₂²×C₃	semidirect
736. #876	C₂²×C₃	semidirect
737. #875	C₂²×C₃	semidirect
738. #875	C₂²×C₃	semidirect
739. C₄×D₁₂	C₂²×C₃	semidirect
740. C₄×D₁₂	C₂²×C₃	semidirect
741. C₄×D₁₂	C₂²×C₃	semidirect
742. C₄×D₁₂	C₂²×C₃	semidirect
743. C₄×D₁₂	C₂²×C₃	semidirect
744. C₄×D₁₂	C₂²×C₃	semidirect
745. C₄×D₁₂	C₂²×C₃	semidirect
746. #872	C₂²×C₃	semidirect
747. #872	C₂²×C₃	semidirect
779. C₂²×C₃×D₃	#41	semidirect
872. #551	C₃×D₃	semidirect
929. C₂×C₃×Q₈	C₂²×D₃	semidirect
930. C₂×C₃×Q₈	C₂³×C₃	semidirect
1003. C₂²×C₃×C₄	C₂²×D₃	semidirect
1008. C₂²×C₃×C₄	C₂³×C₃	semidirect
1020. C₂×#67	C₂³×C₃	semidirect
1021. C₂×#67	C₂³×C₃	semidirect
1025. C₂²×Dic₃	C₂³×C₃	semidirect
1046. C₂×D₁₂	C₂³×C₃	semidirect
1047. C₂×D₁₂	C₂³×C₃	semidirect
1061. C₂×C₄×D₃	C₂³×C₃	semidirect
1062. C₂×C₄×D₃	C₂³×C₃	semidirect
1063. C₂×C₄×D₃	C₂³×C₃	semidirect
1064. C₂×C₄×D₃	C₂³×C₃	semidirect
1065. C₂×C₄×D₃	C₂³×C₃	semidirect
1066. C₂×C₄×D₃	C₂³×C₃	semidirect
1067. C₂×Dic₆	C₂³×C₃	semidirect
1068. C₂×Dic₆	C₂³×C₃	semidirect
1069. C₂×Dic₆	C₂³×C₃	semidirect
1094. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1095. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1096. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1097. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1098. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1099. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1100. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1101. C₃×C₄⋊C₄	C₂²×D₃	semidirect
1102. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1103. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1104. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1105. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1106. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1107. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1108. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1109. C₃×C₄⋊C₄	C₂³×C₃	semidirect
1177. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
1178. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
1179. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
1191. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
1192. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
1193. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
1202. C₃×C₄²	C₂²×D₃	semidirect
1203. C₃×C₄²	C₂²×D₃	semidirect
1204. C₃×C₄²	C₂²×D₃	semidirect
1205. C₃×C₄²	C₂³×C₃	semidirect
1206. C₃×C₄²	C₂³×C₃	semidirect
1207. C₃×C₄²	C₂³×C₃	semidirect
1215. #217	C₂³×C₃	semidirect
1238. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1239. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1240. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1241. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1242. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1243. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1244. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1245. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1246. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1247. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1248. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1249. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
1250. C₄⋊Dic₃	C₂³×C₃	semidirect
1251. C₄⋊Dic₃	C₂³×C₃	semidirect
1252. C₄⋊Dic₃	C₂³×C₃	semidirect
1253. C₄⋊Dic₃	C₂³×C₃	semidirect
1254. C₄⋊Dic₃	C₂³×C₃	semidirect
1255. C₄⋊Dic₃	C₂³×C₃	semidirect
1256. Dic₃⋊C₄	C₂³×C₃	semidirect
1257. Dic₃⋊C₄	C₂³×C₃	semidirect
1258. Dic₃⋊C₄	C₂³×C₃	semidirect
1259. Dic₃⋊C₄	C₂³×C₃	semidirect
1260. Dic₃⋊C₄	C₂³×C₃	semidirect
1261. Dic₃⋊C₄	C₂³×C₃	semidirect
1262. Dic₃⋊C₄	C₂³×C₃	semidirect
1263. Dic₃⋊C₄	C₂³×C₃	semidirect
1264. Dic₃⋊C₄	C₂³×C₃	semidirect
1265. Dic₃⋊C₄	C₂³×C₃	semidirect
1266. C₄×Dic₃	C₂³×C₃	semidirect
1267. C₄×Dic₃	C₂³×C₃	semidirect
1268. C₄×Dic₃	C₂³×C₃	semidirect
1269. C₄×Dic₃	C₂³×C₃	semidirect
1270. C₄×Dic₃	C₂³×C₃	semidirect
1353. #126	C₂×C₃×D₃	semidirect
1354. #126	C₂×C₃×D₃	semidirect
1362. #124	C₂×C₃×D₃	semidirect
1380. #123	C₂×C₃×D₃	semidirect
1381. #123	C₂×C₃×D₃	semidirect
1382. #123	C₂×C₃×D₃	semidirect
1397. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1398. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1457. C₄×D₄	C₂×C₃×D₃	semidirect
1458. C₄×D₄	C₂×C₃×D₃	semidirect
1465. #117	C₂×C₃×D₃	semidirect
1466. #117	C₂×C₃×D₃	semidirect
1487. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
1488. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
1566. C₂²×D₃	C₃×#41	semidirect
1783. C₂×Q₈	C₂²×C₃×D₃	semidirect
1845. C₂²×C₄	C₂²×C₃×D₃	semidirect
1862. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1863. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1864. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1865. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1866. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1867. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1868. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1869. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1923. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1924. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1925. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1931. C₄²	C₂²×C₃×D₃	semidirect
1932. C₄²	C₂²×C₃×D₃	semidirect
1933. C₄²	C₂²×C₃×D₃	semidirect
2085. C₃²	#3490	semidirect
2302. C₃	#86815	direct (N × H)
2303. C₃	C₃×#3490	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#551	2
C₃×#5705	2
C₃×#5704	2
C₃×#5678	2
C₃×#5676	2
C₃×#5658	2
C₃×#5657	2
C₃×#5656	2
C₃×#5654	2
C₃×#5653	2
C₃×#5637	2
C₃×#5634	2
C₃×#5630	2
C₃×#5627	2
C₃×#5591	2
C₃×D₃×#120	2
C₃×#5554	2
C₃×#5550	2
C₃×#5547	2
C₃×#5545	2
C₃×#5527	2
C₃×#5524	2
C₃×#5521	2
C₃×#5495	2
C₃×#5490	2
C₂×C₃×#882	2
C₂×C₃×D₃×C₂²⋊C₄	2
C₃×#3490	3
#86815	3

Subgroups — C3×#86815 #11904837

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86815 #11904837