Subgroups — C₃×#86490 #11910930

Order 1152.

2452 conjugacy classes of subgroups.

The subgroup lattice has 2280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#540	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5720	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5717	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5692	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5692	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5667	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5661	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5660	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5657	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5654	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5654	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5653	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×D₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5621	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5620	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5615	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5613	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5612	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5610	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5610	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5609	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5608	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5605	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5605	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×D₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5560	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5556	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5550	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5547	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#5530	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#5527	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3534	—	3	1	no	maximal
33	#86490	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
36	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
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×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
46	C₃²×#127	C₂²	1	1	yes	characteristic, complemented
47	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
48	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
49	C₃²×#123	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×#121	C₂²	1	1	yes	characteristic, complemented
53	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
55	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
56	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
57	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
58	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
59	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
60	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
61	C₃×#940	C₂²	1	1	yes	characteristic, complemented
62	C₃×#939	C₂²	1	1	yes	characteristic, complemented
63	C₃×#939	C₂²	1	1	yes	characteristic, complemented
64	C₃×#939	C₂²	1	1	yes	characteristic, complemented
65	C₃×#939	C₂²	1	1	yes	characteristic, complemented
66	C₃×#939	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×#939	C₂²	1	1	yes	characteristic, complemented
70	C₃×#939	C₂²	1	1	yes	characteristic, complemented
71	C₃×#939	C₂²	1	1	yes	characteristic, complemented
72	C₃×#938	C₂²	1	1	yes	characteristic
73	C₃×#938	C₂²	1	1	yes	characteristic, complemented
74	C₃×#938	C₂²	1	1	yes	characteristic, complemented
75	C₃×#938	C₂²	1	1	yes	characteristic, complemented
76	C₃×#938	C₂²	1	1	yes	characteristic, complemented
77	C₃×#938	C₂²	1	1	yes	characteristic, complemented
78	C₃×#937	C₂²	1	1	yes	characteristic
79	C₃×#937	C₂²	1	1	yes	characteristic, complemented
80	C₃×#937	C₂²	1	1	yes	characteristic, complemented
81	C₃×#937	C₂²	1	1	yes	characteristic, complemented
82	C₃×#937	C₂²	1	1	yes	characteristic, complemented
83	C₃×#937	C₂²	1	1	yes	characteristic, complemented
84	C₃×#937	C₂²	1	1	yes	characteristic, complemented
85	C₃×#937	C₂²	1	1	yes	characteristic, complemented
86	C₃×#937	C₂²	1	1	yes	characteristic, complemented
87	C₃×#937	C₂²	1	1	yes	characteristic, complemented
88	C₃×#936	C₂²	1	1	yes	characteristic, complemented
89	C₃×#935	C₂²	1	1	yes	characteristic, complemented
90	C₃×#935	C₂²	1	1	yes	characteristic, complemented
91	C₃×#935	C₂²	1	1	yes	characteristic, complemented
92	C₃×#935	C₂²	1	1	yes	characteristic, complemented
93	C₃×#930	C₂²	1	1	yes	characteristic, complemented
94	C₃×#930	C₂²	1	1	yes	characteristic, complemented
95	C₃×#930	C₂²	1	1	yes	characteristic, complemented
96	C₃×#929	C₂²	1	1	yes	characteristic, complemented
97	C₃×#929	C₂²	1	1	yes	characteristic, complemented
98	C₃×#929	C₂²	1	1	yes	characteristic, complemented
99	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
100	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
101	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
102	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
103	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
107	C₃×#924	C₂²	1	1	yes	characteristic, complemented
108	C₃×#924	C₂²	1	1	yes	characteristic, complemented
109	C₃×#898	C₂²	1	1	yes	characteristic, complemented
110	C₃×#898	C₂²	1	1	yes	characteristic, complemented
111	C₃×#898	C₂²	1	1	yes	characteristic, complemented
112	C₃×#897	C₂²	1	1	yes	characteristic, complemented
113	C₃×#897	C₂²	1	1	yes	characteristic, complemented
114	C₃×#896	C₂²	1	1	yes	characteristic, complemented
115	C₃×#896	C₂²	1	1	yes	characteristic, complemented
116	C₃×#896	C₂²	1	1	yes	characteristic, complemented
117	C₃×#896	C₂²	1	1	yes	characteristic, complemented
118	C₃×#896	C₂²	1	1	yes	characteristic, complemented
119	C₃×#895	C₂²	1	1	yes	characteristic
120	C₃×#895	C₂²	1	1	yes	characteristic
121	C₃×#895	C₂²	1	1	yes	characteristic, complemented
122	C₃×#894	C₂²	1	1	yes	characteristic, complemented
123	C₃×#894	C₂²	1	1	yes	characteristic, complemented
124	C₃×#894	C₂²	1	1	yes	characteristic, complemented
125	C₃×#894	C₂²	1	1	yes	characteristic, complemented
126	C₃×#894	C₂²	1	1	yes	characteristic, complemented
127	C₃×#894	C₂²	1	1	yes	characteristic, complemented
128	C₃×#894	C₂²	1	1	yes	characteristic, complemented
129	C₃×#894	C₂²	1	1	yes	characteristic, complemented
130	C₃×#894	C₂²	1	1	yes	characteristic, complemented
131	C₃×#894	C₂²	1	1	yes	characteristic, complemented
132	C₃×#893	C₂²	1	1	yes	characteristic, complemented
133	C₃×#893	C₂²	1	1	yes	characteristic, complemented
134	C₃×#893	C₂²	1	1	yes	characteristic, complemented
135	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
136	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
137	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
138	C₃×#890	C₂²	1	1	yes	characteristic, complemented
139	C₃×#889	C₂²	1	1	yes	characteristic, complemented
140	C₃×#889	C₂²	1	1	yes	characteristic, complemented
141	C₃×#886	C₂²	1	1	yes	characteristic, complemented
142	C₃×#885	C₂²	1	1	yes	characteristic, complemented
143	C₃×#885	C₂²	1	1	yes	characteristic, complemented
144	C₃×#885	C₂²	1	1	yes	characteristic, complemented
145	C₃×#885	C₂²	1	1	yes	characteristic, complemented
146	C₃×#884	C₂²	1	1	yes	characteristic, complemented
147	C₃×#884	C₂²	1	1	yes	characteristic, complemented
148	C₃×#884	C₂²	1	1	yes	characteristic, complemented
149	C₃×#884	C₂²	1	1	yes	characteristic, complemented
150	C₃×#884	C₂²	1	1	yes	characteristic, complemented
151	C₃×#884	C₂²	1	1	yes	characteristic, complemented
152	C₃×#884	C₂²	1	1	yes	characteristic, complemented
153	C₃×#884	C₂²	1	1	yes	characteristic, complemented
154	C₃×#883	C₂²	1	1	yes	characteristic, complemented
155	C₃×#883	C₂²	1	1	yes	characteristic, complemented
156	C₃×#883	C₂²	1	1	yes	characteristic, complemented
157	C₃×#883	C₂²	1	1	yes	characteristic, complemented
158	C₃×#883	C₂²	1	1	yes	characteristic, complemented
159	C₃×#883	C₂²	1	1	yes	characteristic, complemented
160	C₃×#882	C₂²	1	1	yes	characteristic
161	C₃×#882	C₂²	1	1	yes	characteristic, complemented
162	C₃×#882	C₂²	1	1	yes	characteristic, complemented
163	C₃×#882	C₂²	1	1	yes	characteristic, complemented
164	C₃×#882	C₂²	1	1	yes	characteristic, complemented
165	C₃×#882	C₂²	1	1	yes	characteristic, complemented
166	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₃×#67⋊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×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₃×#879	C₂²	1	1	yes	characteristic, complemented
176	C₃×#879	C₂²	1	1	yes	characteristic, complemented
177	C₃×#878	C₂²	1	1	yes	characteristic, complemented
178	C₃×#878	C₂²	1	1	yes	characteristic, complemented
179	C₃×#878	C₂²	1	1	yes	characteristic, complemented
180	C₃×#877	C₂²	1	1	yes	characteristic, complemented
181	C₃×#876	C₂²	1	1	yes	characteristic, complemented
182	C₃×#876	C₂²	1	1	yes	characteristic, complemented
183	C₃×#876	C₂²	1	1	yes	characteristic, complemented
184	C₃×#875	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×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
188	C₃×#872	C₂²	1	1	yes	characteristic, complemented
189	C₃×#562	—	3	1	no	—
190	C₃×#562	—	3	1	no	—
191	C₃×#560	—	3	1	no	—
192	C₃×#560	—	3	1	no	—
193	C₃×#553	—	3	1	no	—
194	C₃×#553	—	3	1	no	—
195	C₃×#551	—	3	1	no	—
196	C₃×#551	—	3	1	no	—
197	C₃×#546	—	3	1	no	—
198	C₃×#546	—	3	1	no	—
199	C₃×#546	—	3	1	no	—
200	C₃×#546	—	3	1	no	—
201	C₃×#546	—	3	1	no	—
202	C₃×#546	—	3	1	no	—
203	C₃×D₄²	—	3	1	no	—
204	C₃×D₄²	—	3	1	no	—
205	C₃×#540	—	2	1	no	—
206	C₃×#540	—	3	1	no	—
207	C₃×#540	D₃	1	1	yes	characteristic, complemented
208	C₃×#540	C₂×C₃	1	1	yes	characteristic, complemented
209	C₃×#539	—	3	1	no	—
210	C₃×#539	—	3	1	no	—
211	C₃×#539	—	3	1	no	—
212	C₃×#538	—	3	1	no	—
213	C₃×#538	—	3	1	no	—
214	C₃×#538	—	3	1	no	—
215	C₃×#537	—	3	1	no	—
216	C₃×#534	—	3	1	no	—
217	C₃×#534	—	3	1	no	—
218	C₃×#534	—	3	1	no	—
219	C₃×#525	—	3	1	no	—
220	C₂×C₃×#123	—	3	1	no	—
221	C₂×C₃×#121	—	3	1	no	—
222	#5720	C₂×C₃	1	1	yes	characteristic, complemented
223	#5717	C₂×C₃	1	1	yes	characteristic, complemented
224	#5692	C₂×C₃	1	1	yes	characteristic, complemented
225	#5692	C₂×C₃	1	1	yes	characteristic, complemented
226	#5667	C₂×C₃	1	1	yes	characteristic, complemented
227	#5661	C₂×C₃	1	1	yes	characteristic, complemented
228	#5660	C₂×C₃	1	1	yes	characteristic, complemented
229	#5657	C₂×C₃	1	1	yes	characteristic, complemented
230	#5654	C₂×C₃	1	1	yes	characteristic, complemented
231	#5654	C₂×C₃	1	1	yes	characteristic, complemented
232	#5653	C₂×C₃	1	1	yes	characteristic, complemented
233	D₃×#123	C₂×C₃	1	1	yes	characteristic, complemented
234	#5621	C₂×C₃	1	1	yes	characteristic, complemented
235	#5620	C₂×C₃	1	1	yes	characteristic, complemented
236	#5615	C₂×C₃	1	1	yes	characteristic, complemented
237	#5613	C₂×C₃	1	1	yes	characteristic, complemented
238	#5612	C₂×C₃	1	1	yes	characteristic, complemented
239	#5610	C₂×C₃	1	1	yes	characteristic, complemented
240	#5610	C₂×C₃	1	1	yes	characteristic, complemented
241	#5609	C₂×C₃	1	1	yes	characteristic, complemented
242	#5608	C₂×C₃	1	1	yes	characteristic, complemented
243	#5605	C₂×C₃	1	1	yes	characteristic, complemented
244	#5605	C₂×C₃	1	1	yes	characteristic, complemented
245	D₃×#121	C₂×C₃	1	1	yes	characteristic, complemented
246	#5560	C₂×C₃	1	1	yes	characteristic, complemented
247	#5556	C₂×C₃	1	1	yes	characteristic, complemented
248	#5550	C₂×C₃	1	1	yes	characteristic, complemented
249	#5547	C₂×C₃	1	1	yes	characteristic, complemented
250	#5530	C₂×C₃	1	1	yes	characteristic, complemented
251	#5527	C₂×C₃	1	1	yes	characteristic, complemented
252	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
253	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
254	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
255	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
256	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
257	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
258	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
259	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
260	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
261	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
262	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
263	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
264	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
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
273	C₂×C₃×#67	C₂³	1	1	yes	characteristic
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
285	C₂×C₃×#67	C₂³	1	1	yes	characteristic
286	C₂×C₃×#67	C₂³	1	1	yes	characteristic
287	C₂×C₃×#67	C₂³	1	1	yes	characteristic
288	C₂×C₃×#67	C₂³	1	1	yes	characteristic
289	C₂×C₃×#67	C₂³	1	1	yes	characteristic
290	C₂×C₃×#67	C₂³	1	1	yes	characteristic
291	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
292	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
293	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
294	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
295	C₃×#237	—	4	2	no	—
296	C₃×D₃×D₄	—	4	2	no	—
297	C₃×D₃×D₄	—	4	2	no	—
298	C₃×D₃×D₄	—	4	2	no	—
299	C₃×D₃×D₄	—	4	2	no	—
300	C₃×D₃×D₄	—	4	2	no	—
301	C₃×D₃×D₄	—	4	2	no	—
302	C₃×D₃×D₄	—	4	2	no	—
303	C₃×#235	—	4	2	no	—
304	C₃×#235	—	4	2	no	—
305	C₂×C₃×D₁₂	—	4	2	no	—
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
311	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
312	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
313	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
314	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₄×D₃	—	4	2	no	—
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
326	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
327	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
328	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
329	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
330	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
331	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
332	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
333	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
334	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
335	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
336	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
339	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
340	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
341	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²	C₂³	1	1	yes	characteristic
352	C₃²×C₄²	C₂³	1	1	yes	characteristic
353	C₃×#217	C₂³	1	1	yes	characteristic
354	C₃×#217	C₂³	1	1	yes	characteristic
355	C₃×#217	C₂³	1	1	yes	characteristic
356	C₃×#217	C₂³	1	1	yes	characteristic
357	C₃×#217	C₂³	1	1	yes	characteristic
358	C₃×#217	C₂³	1	1	yes	characteristic
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×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
366	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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
390	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
391	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
392	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
393	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
394	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
395	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
396	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
397	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
398	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
399	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
400	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
401	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
402	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
403	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
404	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
405	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
406	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
407	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
408	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
409	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
410	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
411	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
412	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
413	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
414	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
415	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
416	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
417	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
418	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
419	#3534	—	3	1	no	Sylow
420	C₂×C₃×#41	—	3	1	no	—
421	C₂×C₃×#41	—	3	1	no	—
422	C₂×C₃×#41	—	3	1	no	—
423	C₂²×C₃×D₄	—	3	1	no	—
424	C₂²×C₃×D₄	—	3	1	no	—
425	C₂²×C₃×D₄	—	3	1	no	—
426	C₂²×C₃×D₄	—	3	1	no	—
427	C₂²×C₃×D₄	—	3	1	no	—
428	C₂²×C₃×D₄	—	3	1	no	—
429	C₂²×C₃×D₄	—	3	1	no	—
430	C₂²×C₃×D₄	—	3	1	no	—
431	C₂³×C₃×C₄	—	3	1	no	—
432	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
433	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
434	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
435	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
436	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
437	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
438	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
439	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
440	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
441	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
442	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
443	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
444	C₃×#127	—	2	1	no	—
445	C₃×#127	—	3	1	no	—
446	C₃×#127	C₂×D₃	1	1	yes	characteristic, complemented
447	C₃×#127	C₂²×C₃	1	1	yes	characteristic, complemented
448	C₃×#126	—	3	1	no	—
449	C₃×#126	—	3	1	no	—
450	C₃×#126	—	3	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×#125	—	2	1	no	—
457	C₃×#125	—	3	1	no	—
458	C₃×#125	—	3	1	no	—
459	C₃×#125	—	3	1	no	—
460	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
461	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
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×#123	—	2	1	no	—
469	C₃×#123	—	2	1	no	—
470	C₃×#123	—	2	1	no	—
471	C₃×#123	—	2	1	no	—
472	C₃×#123	—	3	1	no	—
473	C₃×#123	—	3	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	—	3	1	no	—
492	C₃×#123	—	3	1	no	—
493	C₃×#123	—	3	1	no	—
494	C₃×#123	—	3	1	no	—
495	C₃×#123	—	3	1	no	—
496	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
497	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
498	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
499	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
500	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
501	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
502	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
503	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
514	C₃×C₂²⋊Q₈	—	3	1	no	—
515	C₃×C₂²⋊Q₈	—	3	1	no	—
516	C₃×#121	—	2	1	no	—
517	C₃×#121	—	2	1	no	—
518	C₃×#121	—	2	1	no	—
519	C₃×#121	—	2	1	no	—
520	C₃×#121	—	2	1	no	—
521	C₃×#121	—	2	1	no	—
522	C₃×#121	—	3	1	no	—
523	C₃×#121	—	3	1	no	—
524	C₃×#121	—	3	1	no	—
525	C₃×#121	—	3	1	no	—
526	C₃×#121	—	3	1	no	—
527	C₃×#121	—	3	1	no	—
528	C₃×#121	—	3	1	no	—
529	C₃×#121	—	3	1	no	—
530	C₃×#121	—	3	1	no	—
531	C₃×#121	—	3	1	no	—
532	C₃×#121	—	3	1	no	—
533	C₃×#121	—	3	1	no	—
534	C₃×#121	—	3	1	no	—
535	C₃×#121	—	3	1	no	—
536	C₃×#121	—	3	1	no	—
537	C₃×#121	—	3	1	no	—
538	C₃×#121	—	3	1	no	—
539	C₃×#121	—	3	1	no	—
540	C₃×#121	—	3	1	no	—
541	C₃×#121	—	3	1	no	—
542	C₃×#121	—	3	1	no	—
543	C₃×#121	—	3	1	no	—
544	C₃×#121	—	3	1	no	—
545	C₃×#121	—	3	1	no	—
546	C₃×#121	—	3	1	no	—
547	C₃×#121	—	3	1	no	—
548	C₃×#121	—	3	1	no	—
549	C₃×#121	—	3	1	no	—
550	C₃×#121	—	3	1	no	—
551	C₃×#121	—	3	1	no	—
552	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
553	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
554	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
555	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
556	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
557	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
558	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
559	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
560	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
561	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
562	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
563	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
564	C₃×#120	—	3	1	no	—
565	C₃×#120	—	3	1	no	—
566	C₃×#120	—	3	1	no	—
567	C₃×#120	—	3	1	no	—
568	C₃×#120	—	3	1	no	—
569	C₃×#120	—	3	1	no	—
570	C₃×#120	—	3	1	no	—
571	C₃×#120	—	3	1	no	—
572	C₃×#120	—	3	1	no	—
573	C₃×#120	—	3	1	no	—
574	C₃×#120	—	3	1	no	—
575	C₃×#120	—	3	1	no	—
576	C₃×#120	—	3	1	no	—
577	C₃×#120	—	3	1	no	—
578	C₃×#120	—	3	1	no	—
579	C₃×#120	—	3	1	no	—
580	C₃×C₄×D₄	—	2	1	no	—
581	C₃×C₄×D₄	—	2	1	no	—
582	C₃×C₄×D₄	—	3	1	no	—
583	C₃×C₄×D₄	—	3	1	no	—
584	C₃×C₄×D₄	—	3	1	no	—
585	C₃×C₄×D₄	—	3	1	no	—
586	C₃×C₄×D₄	—	3	1	no	—
587	C₃×C₄×D₄	—	3	1	no	—
588	C₃×C₄×D₄	—	3	1	no	—
589	C₃×C₄×D₄	—	3	1	no	—
590	C₃×C₄×D₄	—	3	1	no	—
591	C₃×C₄×D₄	—	3	1	no	—
592	C₃×C₄×D₄	—	3	1	no	—
593	C₃×C₄×D₄	—	3	1	no	—
594	C₃×C₄×D₄	—	3	1	no	—
595	C₃×C₄×D₄	—	3	1	no	—
596	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
597	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
598	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
599	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
600	C₃×#117	—	2	1	no	—
601	C₃×#117	—	3	1	no	—
602	C₃×#117	—	3	1	no	—
603	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
604	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
605	C₂×C₃×C₄⋊C₄	—	3	1	no	—
606	C₂×C₃×C₄⋊C₄	—	3	1	no	—
607	C₂×C₃×C₄⋊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	#940	C₂²×C₃	1	1	yes	characteristic, complemented
618	#939	C₂²×C₃	1	1	yes	characteristic, complemented
619	#939	C₂²×C₃	1	1	yes	characteristic, complemented
620	#939	C₂²×C₃	1	1	yes	characteristic, complemented
621	#939	C₂²×C₃	1	1	yes	characteristic, complemented
622	#939	C₂²×C₃	1	1	yes	characteristic, complemented
623	#939	C₂²×C₃	1	1	yes	characteristic, complemented
624	#939	C₂²×C₃	1	1	yes	characteristic, complemented
625	#939	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
629	#938	C₂²×C₃	1	1	yes	characteristic, complemented
630	#938	C₂²×C₃	1	1	yes	characteristic, complemented
631	#938	C₂²×C₃	1	1	yes	characteristic, complemented
632	#938	C₂²×C₃	1	1	yes	characteristic, complemented
633	#938	C₂²×C₃	1	1	yes	characteristic, complemented
634	#937	C₂²×C₃	1	1	yes	characteristic
635	#937	C₂²×C₃	1	1	yes	characteristic, complemented
636	#937	C₂²×C₃	1	1	yes	characteristic, complemented
637	#937	C₂²×C₃	1	1	yes	characteristic, complemented
638	#937	C₂²×C₃	1	1	yes	characteristic, complemented
639	#937	C₂²×C₃	1	1	yes	characteristic, complemented
640	#937	C₂²×C₃	1	1	yes	characteristic, complemented
641	#937	C₂²×C₃	1	1	yes	characteristic, complemented
642	#937	C₂²×C₃	1	1	yes	characteristic, complemented
643	#937	C₂²×C₃	1	1	yes	characteristic, complemented
644	#936	C₂²×C₃	1	1	yes	characteristic, complemented
645	#935	C₂²×C₃	1	1	yes	characteristic, complemented
646	#935	C₂²×C₃	1	1	yes	characteristic, complemented
647	#935	C₂²×C₃	1	1	yes	characteristic, complemented
648	#935	C₂²×C₃	1	1	yes	characteristic, complemented
649	#930	C₂²×C₃	1	1	yes	characteristic, complemented
650	#930	C₂²×C₃	1	1	yes	characteristic, complemented
651	#930	C₂²×C₃	1	1	yes	characteristic, complemented
652	#929	C₂²×C₃	1	1	yes	characteristic, complemented
653	#929	C₂²×C₃	1	1	yes	characteristic, complemented
654	#929	C₂²×C₃	1	1	yes	characteristic, complemented
655	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
656	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
657	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
658	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
659	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
660	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
661	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
662	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
663	#924	C₂²×C₃	1	1	yes	characteristic, complemented
664	#924	C₂²×C₃	1	1	yes	characteristic, complemented
665	#898	C₂²×C₃	1	1	yes	characteristic, complemented
666	#898	C₂²×C₃	1	1	yes	characteristic, complemented
667	#898	C₂²×C₃	1	1	yes	characteristic, complemented
668	#897	C₂²×C₃	1	1	yes	characteristic, complemented
669	#897	C₂²×C₃	1	1	yes	characteristic, complemented
670	#896	C₂²×C₃	1	1	yes	characteristic, complemented
671	#896	C₂²×C₃	1	1	yes	characteristic, complemented
672	#896	C₂²×C₃	1	1	yes	characteristic, complemented
673	#896	C₂²×C₃	1	1	yes	characteristic, complemented
674	#896	C₂²×C₃	1	1	yes	characteristic, complemented
675	#895	C₂²×C₃	1	1	yes	characteristic
676	#895	C₂²×C₃	1	1	yes	characteristic
677	#895	C₂²×C₃	1	1	yes	characteristic, complemented
678	#894	C₂²×C₃	1	1	yes	characteristic, complemented
679	#894	C₂²×C₃	1	1	yes	characteristic, complemented
680	#894	C₂²×C₃	1	1	yes	characteristic, complemented
681	#894	C₂²×C₃	1	1	yes	characteristic, complemented
682	#894	C₂²×C₃	1	1	yes	characteristic, complemented
683	#894	C₂²×C₃	1	1	yes	characteristic, complemented
684	#894	C₂²×C₃	1	1	yes	characteristic, complemented
685	#894	C₂²×C₃	1	1	yes	characteristic, complemented
686	#894	C₂²×C₃	1	1	yes	characteristic, complemented
687	#894	C₂²×C₃	1	1	yes	characteristic, complemented
688	#893	C₂²×C₃	1	1	yes	characteristic, complemented
689	#893	C₂²×C₃	1	1	yes	characteristic, complemented
690	#893	C₂²×C₃	1	1	yes	characteristic, complemented
691	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
692	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
693	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
694	#890	C₂²×C₃	1	1	yes	characteristic, complemented
695	#889	C₂²×C₃	1	1	yes	characteristic, complemented
696	#889	C₂²×C₃	1	1	yes	characteristic, complemented
697	#886	C₂²×C₃	1	1	yes	characteristic, complemented
698	#885	C₂²×C₃	1	1	yes	characteristic, complemented
699	#885	C₂²×C₃	1	1	yes	characteristic, complemented
700	#885	C₂²×C₃	1	1	yes	characteristic, complemented
701	#885	C₂²×C₃	1	1	yes	characteristic, complemented
702	#884	C₂²×C₃	1	1	yes	characteristic, complemented
703	#884	C₂²×C₃	1	1	yes	characteristic, complemented
704	#884	C₂²×C₃	1	1	yes	characteristic, complemented
705	#884	C₂²×C₃	1	1	yes	characteristic, complemented
706	#884	C₂²×C₃	1	1	yes	characteristic, complemented
707	#884	C₂²×C₃	1	1	yes	characteristic, complemented
708	#884	C₂²×C₃	1	1	yes	characteristic, complemented
709	#884	C₂²×C₃	1	1	yes	characteristic, complemented
710	#883	C₂²×C₃	1	1	yes	characteristic, complemented
711	#883	C₂²×C₃	1	1	yes	characteristic, complemented
712	#883	C₂²×C₃	1	1	yes	characteristic, complemented
713	#883	C₂²×C₃	1	1	yes	characteristic, complemented
714	#883	C₂²×C₃	1	1	yes	characteristic, complemented
715	#883	C₂²×C₃	1	1	yes	characteristic, complemented
716	#882	C₂²×C₃	1	1	yes	characteristic
717	#882	C₂²×C₃	1	1	yes	characteristic, complemented
718	#882	C₂²×C₃	1	1	yes	characteristic, complemented
719	#882	C₂²×C₃	1	1	yes	characteristic, complemented
720	#882	C₂²×C₃	1	1	yes	characteristic, complemented
721	#882	C₂²×C₃	1	1	yes	characteristic, complemented
722	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
723	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
724	#67⋊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	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
731	#879	C₂²×C₃	1	1	yes	characteristic, complemented
732	#879	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	#878	C₂²×C₃	1	1	yes	characteristic, complemented
736	#877	C₂²×C₃	1	1	yes	characteristic, complemented
737	#876	C₂²×C₃	1	1	yes	characteristic, complemented
738	#876	C₂²×C₃	1	1	yes	characteristic, complemented
739	#876	C₂²×C₃	1	1	yes	characteristic, complemented
740	#875	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	#872	C₂²×C₃	1	1	yes	characteristic, complemented
745	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
746	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
747	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
748	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
749	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
750	C₂²×C₃×D₃	—	2	2	no	—
751	C₂²×C₃×D₃	—	2	2	no	—
752	C₂²×C₃×D₃	—	2	2	no	—
753	C₂²×C₃×D₃	—	2	2	no	—
754	C₂²×C₃×D₃	—	2	2	no	—
755	C₂²×C₃×D₃	—	4	1	no	—
756	C₂²×C₃×D₃	—	4	1	no	—
757	C₂²×C₃×D₃	—	4	1	no	—
758	C₂²×C₃×D₃	—	4	1	no	—
759	C₂²×C₃×D₃	—	4	1	no	—
760	C₂²×C₃×D₃	—	4	1	no	—
761	C₂²×C₃×D₃	—	4	1	no	—
762	C₂²×C₃×D₃	—	4	1	no	—
763	C₂²×C₃×D₃	—	4	1	no	—
764	C₂²×C₃×D₃	—	4	1	no	—
765	C₂²×C₃×D₃	—	4	1	no	—
766	C₂²×C₃×D₃	—	4	1	no	—
767	C₂²×C₃×D₃	—	4	1	no	—
768	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
769	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
770	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
771	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
772	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
773	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
774	C₃²×D₄	—	4	1	no	—
775	C₃²×D₄	—	4	1	no	—
776	C₃²×D₄	—	4	1	no	—
777	C₃²×D₄	—	4	1	no	—
778	C₃²×D₄	—	4	1	no	—
779	C₃²×D₄	—	4	1	no	—
780	C₃²×D₄	—	4	1	no	—
781	C₃²×D₄	—	4	1	no	—
782	C₃²×D₄	—	4	1	no	—
783	C₃²×D₄	—	4	1	no	—
784	C₂×C₃²×C₄	—	4	1	no	—
785	C₂×C₃²×C₄	—	4	1	no	—
786	C₂×C₃²×C₄	—	4	1	no	—
787	C₂×C₃²×C₄	—	4	1	no	—
788	C₂×C₃²×C₄	—	4	1	no	—
789	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
790	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
791	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
792	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
793	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
794	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
795	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
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	C₃×#67	—	2	2	no	—
800	C₃×#67	—	2	2	no	—
801	C₃×#67	—	2	2	no	—
802	C₃×#67	—	2	2	no	—
803	C₃×#67	—	2	2	no	—
804	C₃×#67	—	4	1	no	—
805	C₃×#67	—	4	1	no	—
806	C₃×#67	—	4	1	no	—
807	C₃×#67	—	4	1	no	—
808	C₃×#67	—	4	1	no	—
809	C₃×#67	—	4	1	no	—
810	C₃×#67	—	4	1	no	—
811	C₃×#67	—	4	1	no	—
812	C₃×#67	—	4	1	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	C₂×C₃×Dic₃	—	4	1	no	—
818	C₂×C₃×Dic₃	—	4	1	no	—
819	C₂×C₃×Dic₃	—	4	1	no	—
820	C₂×C₃×Dic₃	—	4	1	no	—
821	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
822	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₃×D₁₂	—	2	2	no	—
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	—	4	1	no	—
837	C₃×D₁₂	—	4	1	no	—
838	C₃×D₁₂	—	4	1	no	—
839	C₃×D₁₂	—	4	1	no	—
840	C₃×C₄×D₃	—	2	2	no	—
841	C₃×C₄×D₃	—	2	2	no	—
842	C₃×C₄×D₃	—	2	2	no	—
843	C₃×C₄×D₃	—	4	1	no	—
844	C₃×C₄×D₃	—	4	1	no	—
845	C₃×C₄×D₃	—	4	1	no	—
846	C₃×C₄×D₃	—	4	1	no	—
847	C₃×C₄×D₃	—	4	1	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×Dic₆	—	4	1	no	—
855	C₃×Dic₆	—	4	1	no	—
856	C₃×Dic₆	—	4	1	no	—
857	#562	—	3	1	no	—
858	#562	—	3	1	no	—
859	#560	—	3	1	no	—
860	#560	—	3	1	no	—
861	#553	—	3	1	no	—
862	#553	—	3	1	no	—
863	#551	—	3	1	no	—
864	#551	—	3	1	no	—
865	#546	—	3	1	no	—
866	#546	—	3	1	no	—
867	#546	—	3	1	no	—
868	#546	—	3	1	no	—
869	#546	—	3	1	no	—
870	#546	—	3	1	no	—
871	D₄²	—	3	1	no	—
872	D₄²	—	3	1	no	—
873	#540	—	3	1	no	—
874	#540	C₃×D₃	1	1	yes	characteristic, complemented
875	#539	—	3	1	no	—
876	#539	—	3	1	no	—
877	#539	—	3	1	no	—
878	#538	—	3	1	no	—
879	#538	—	3	1	no	—
880	#538	—	3	1	no	—
881	#537	—	3	1	no	—
882	#534	—	3	1	no	—
883	#534	—	3	1	no	—
884	#534	—	3	1	no	—
885	#525	—	3	1	no	—
886	C₂×#123	—	3	1	no	—
887	C₂×#121	—	3	1	no	—
888	C₂⁴×C₃	—	3	1	no	—
889	C₂⁴×C₃	—	3	1	no	—
890	C₂⁴×C₃	—	3	1	no	—
891	C₂⁴×C₃	—	3	1	no	—
892	C₂⁴×C₃	—	3	1	no	—
893	C₂⁴×C₃	—	3	1	no	—
894	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
895	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
896	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
897	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
898	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
899	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
900	C₃×#41	—	12	2	no	—
901	C₃×#41	—	12	2	no	—
902	C₃×#41	—	12	2	no	—
903	C₂×C₃×Q₈	—	3	1	no	—
904	C₂×C₃×Q₈	—	3	1	no	—
905	C₂×C₃×Q₈	—	3	1	no	—
906	C₂×C₃×D₄	—	2	1	no	—
907	C₂×C₃×D₄	—	2	1	no	—
908	C₂×C₃×D₄	—	2	1	no	—
909	C₂×C₃×D₄	—	2	1	no	—
910	C₂×C₃×D₄	—	2	1	no	—
911	C₂×C₃×D₄	—	2	1	no	—
912	C₂×C₃×D₄	—	2	1	no	—
913	C₂×C₃×D₄	—	2	1	no	—
914	C₂×C₃×D₄	—	2	1	no	—
915	C₂×C₃×D₄	—	2	1	no	—
916	C₂×C₃×D₄	—	3	1	no	—
917	C₂×C₃×D₄	—	3	1	no	—
918	C₂×C₃×D₄	—	3	1	no	—
919	C₂×C₃×D₄	—	3	1	no	—
920	C₂×C₃×D₄	—	3	1	no	—
921	C₂×C₃×D₄	—	3	1	no	—
922	C₂×C₃×D₄	—	3	1	no	—
923	C₂×C₃×D₄	—	3	1	no	—
924	C₂×C₃×D₄	—	3	1	no	—
925	C₂×C₃×D₄	—	3	1	no	—
926	C₂×C₃×D₄	—	3	1	no	—
927	C₂×C₃×D₄	—	3	1	no	—
928	C₂×C₃×D₄	—	3	1	no	—
929	C₂×C₃×D₄	—	3	1	no	—
930	C₂×C₃×D₄	—	3	1	no	—
931	C₂×C₃×D₄	—	3	1	no	—
932	C₂×C₃×D₄	—	3	1	no	—
933	C₂×C₃×D₄	—	3	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	—	12	2	no	—
944	C₂×C₃×D₄	—	12	2	no	—
945	C₂×C₃×D₄	—	12	2	no	—
946	C₂×C₃×D₄	—	12	2	no	—
947	C₂×C₃×D₄	—	12	2	no	—
948	C₂×C₃×D₄	—	12	2	no	—
949	C₂×C₃×D₄	—	12	2	no	—
950	C₂×C₃×D₄	—	12	2	no	—
951	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
952	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
953	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
954	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
955	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
956	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
957	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
958	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
959	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
960	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
961	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
962	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
963	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
964	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
965	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
966	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
967	C₂×C₃×D₄	C₂³×C₃	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	—	12	2	no	—
995	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
996	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
997	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
998	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
999	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1000	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1001	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1002	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1003	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1004	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1005	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1006	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1007	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1008	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1009	C₂×#67	C₂³×C₃	1	1	yes	characteristic
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
1021	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1022	C₂×#67	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
1026	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1027	#237	—	4	2	no	—
1028	D₃×D₄	—	4	2	no	—
1029	D₃×D₄	—	4	2	no	—
1030	D₃×D₄	—	4	2	no	—
1031	D₃×D₄	—	4	2	no	—
1032	D₃×D₄	—	4	2	no	—
1033	D₃×D₄	—	4	2	no	—
1034	D₃×D₄	—	4	2	no	—
1035	#235	—	4	2	no	—
1036	#235	—	4	2	no	—
1037	C₂×D₁₂	—	4	2	no	—
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
1047	C₂×C₄×D₃	—	4	2	no	—
1048	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1049	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
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
1062	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
1063	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
1064	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
1065	C₃×C₄⋊C₄	—	2	1	no	—
1066	C₃×C₄⋊C₄	—	2	1	no	—
1067	C₃×C₄⋊C₄	—	2	1	no	—
1068	C₃×C₄⋊C₄	—	2	1	no	—
1069	C₃×C₄⋊C₄	—	2	1	no	—
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	—	3	1	no	—
1074	C₃×C₄⋊C₄	—	3	1	no	—
1075	C₃×C₄⋊C₄	—	3	1	no	—
1076	C₃×C₄⋊C₄	—	3	1	no	—
1077	C₃×C₄⋊C₄	—	3	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	—	3	1	no	—
1095	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1096	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1097	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1098	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1099	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1100	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1101	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1102	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1103	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1104	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1105	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1106	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1107	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1108	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1109	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1110	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	—	3	1	no	—
1122	C₃×C₂²⋊C₄	—	3	1	no	—
1123	C₃×C₂²⋊C₄	—	3	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	C₂²×D₃	1	1	yes	characteristic
1162	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1163	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1164	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1165	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
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	C₂³×C₃	1	1	yes	characteristic
1172	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1173	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1174	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1175	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1176	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1177	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1178	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1179	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1180	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1181	C₃×C₄²	—	2	1	no	—
1182	C₃×C₄²	—	2	1	no	—
1183	C₃×C₄²	—	3	1	no	—
1184	C₃×C₄²	—	3	1	no	—
1185	C₃×C₄²	—	3	1	no	—
1186	C₃×C₄²	—	3	1	no	—
1187	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1188	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1189	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1190	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1191	#217	C₂³×C₃	1	1	yes	characteristic
1192	#217	C₂³×C₃	1	1	yes	characteristic
1193	#217	C₂³×C₃	1	1	yes	characteristic
1194	#217	C₂³×C₃	1	1	yes	characteristic
1195	#217	C₂³×C₃	1	1	yes	characteristic
1196	#217	C₂³×C₃	1	1	yes	characteristic
1197	#217	C₂³×C₃	1	1	yes	characteristic
1198	#217	C₂³×C₃	1	1	yes	characteristic
1199	#217	C₂³×C₃	1	1	yes	characteristic
1200	#217	C₂³×C₃	1	1	yes	characteristic
1201	#217	C₂³×C₃	1	1	yes	characteristic
1202	#217	C₂³×C₃	1	1	yes	characteristic
1203	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1204	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1205	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1206	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1207	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1208	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1209	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1210	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1211	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1212	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1213	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1214	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1215	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1232	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1233	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1234	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1235	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1236	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1237	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1238	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1239	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1240	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1241	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1242	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1243	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1244	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1245	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1246	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1247	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1248	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1249	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1250	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1251	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1252	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1253	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1254	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1255	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1256	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1257	C₂²×C₃²	—	2	1	no	—
1258	C₂²×C₃²	—	2	1	no	—
1259	C₂²×C₃²	—	2	1	no	—
1260	C₂²×C₃²	—	2	1	no	—
1261	C₂²×C₃²	—	2	1	no	—
1262	C₂²×C₃²	—	2	1	no	—
1263	C₂²×C₃²	—	2	1	no	—
1264	C₂²×C₃²	—	2	1	no	—
1265	C₂²×C₃²	—	2	1	no	—
1266	C₂²×C₃²	—	2	1	no	—
1267	C₂²×C₃²	—	2	1	no	—
1268	C₂²×C₃²	—	2	1	no	—
1269	C₂²×C₃²	—	2	1	no	—
1270	C₂²×C₃²	—	2	1	no	—
1271	C₂²×C₃²	—	2	1	no	—
1272	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1273	C₂×C₃×D₃	—	2	1	no	—
1274	C₂×C₃×D₃	—	2	1	no	—
1275	C₂×C₃×D₃	—	2	1	no	—
1276	C₂×C₃×D₃	—	2	1	no	—
1277	C₂×C₃×D₃	—	2	1	no	—
1278	C₂×C₃×D₃	—	2	1	no	—
1279	C₂×C₃×D₃	—	2	1	no	—
1280	C₂×C₃×D₃	—	2	1	no	—
1281	C₂×C₃×D₃	—	2	1	no	—
1282	C₂×C₃×D₃	—	2	1	no	—
1283	C₂×C₃×D₃	—	2	1	no	—
1284	C₂×C₃×D₃	—	2	1	no	—
1285	C₂×C₃×D₃	—	2	1	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	—	4	4	no	—
1290	C₂×C₃×D₃	—	8	2	no	—
1291	C₂×C₃×D₃	—	8	2	no	—
1292	C₂×C₃×D₃	—	8	2	no	—
1293	C₂×C₃×D₃	—	8	2	no	—
1294	C₂×C₃×D₃	—	8	2	no	—
1295	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
1296	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
1297	C₃²×C₄	—	2	1	no	—
1298	C₃²×C₄	—	2	1	no	—
1299	C₃²×C₄	—	2	1	no	—
1300	C₃²×C₄	—	2	1	no	—
1301	C₃²×C₄	—	2	1	no	—
1302	C₃²×C₄	—	2	1	no	—
1303	C₃²×C₄	—	2	1	no	—
1304	C₃²×C₄	—	2	1	no	—
1305	C₃²×C₄	—	2	1	no	—
1306	C₃²×C₄	—	2	1	no	—
1307	C₃×Dic₃	—	2	1	no	—
1308	C₃×Dic₃	—	2	1	no	—
1309	C₃×Dic₃	—	2	1	no	—
1310	C₃×Dic₃	—	2	1	no	—
1311	C₃×Dic₃	—	2	1	no	—
1312	C₃×Dic₃	—	2	1	no	—
1313	C₃×Dic₃	—	2	1	no	—
1314	C₃×Dic₃	—	2	1	no	—
1315	C₃×Dic₃	—	2	1	no	—
1316	C₃×Dic₃	—	2	1	no	—
1317	C₂×#41	—	3	1	no	—
1318	C₂×#41	—	3	1	no	—
1319	C₂×#41	—	3	1	no	—
1320	C₂²×D₄	—	3	1	no	—
1321	C₂²×D₄	—	3	1	no	—
1322	C₂²×D₄	—	3	1	no	—
1323	C₂²×D₄	—	3	1	no	—
1324	C₂²×D₄	—	3	1	no	—
1325	C₂²×D₄	—	3	1	no	—
1326	C₂²×D₄	—	3	1	no	—
1327	C₂²×D₄	—	3	1	no	—
1328	C₂³×C₄	—	3	1	no	—
1329	#127	—	3	1	no	—
1330	#127	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1331	#126	—	3	1	no	—
1332	#126	—	3	1	no	—
1333	#126	—	3	1	no	—
1334	#126	—	3	1	no	—
1335	#126	—	3	1	no	—
1336	#126	—	3	1	no	—
1337	#126	—	3	1	no	—
1338	#126	—	3	1	no	—
1339	#125	—	3	1	no	—
1340	#125	—	3	1	no	—
1341	#125	—	3	1	no	—
1342	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1343	#124	—	3	1	no	—
1344	#124	—	3	1	no	—
1345	#124	—	3	1	no	—
1346	#124	—	3	1	no	—
1347	#124	—	3	1	no	—
1348	#124	—	3	1	no	—
1349	#123	—	3	1	no	—
1350	#123	—	3	1	no	—
1351	#123	—	3	1	no	—
1352	#123	—	3	1	no	—
1353	#123	—	3	1	no	—
1354	#123	—	3	1	no	—
1355	#123	—	3	1	no	—
1356	#123	—	3	1	no	—
1357	#123	—	3	1	no	—
1358	#123	—	3	1	no	—
1359	#123	—	3	1	no	—
1360	#123	—	3	1	no	—
1361	#123	—	3	1	no	—
1362	#123	—	3	1	no	—
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	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1374	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1375	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1376	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1377	C₂²⋊Q₈	—	3	1	no	—
1378	C₂²⋊Q₈	—	3	1	no	—
1379	C₂²⋊Q₈	—	3	1	no	—
1380	C₂²⋊Q₈	—	3	1	no	—
1381	C₂²⋊Q₈	—	3	1	no	—
1382	C₂²⋊Q₈	—	3	1	no	—
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	#121	—	3	1	no	—
1390	#121	—	3	1	no	—
1391	#121	—	3	1	no	—
1392	#121	—	3	1	no	—
1393	#121	—	3	1	no	—
1394	#121	—	3	1	no	—
1395	#121	—	3	1	no	—
1396	#121	—	3	1	no	—
1397	#121	—	3	1	no	—
1398	#121	—	3	1	no	—
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	#121	—	3	1	no	—
1416	#121	—	3	1	no	—
1417	#121	—	3	1	no	—
1418	#121	—	3	1	no	—
1419	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1420	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1421	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1422	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1423	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1424	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
1435	#120	—	3	1	no	—
1436	#120	—	3	1	no	—
1437	#120	—	3	1	no	—
1438	#120	—	3	1	no	—
1439	#120	—	3	1	no	—
1440	#120	—	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	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1456	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1457	#117	—	3	1	no	—
1458	#117	—	3	1	no	—
1459	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1460	C₂×C₄⋊C₄	—	3	1	no	—
1461	C₂×C₄⋊C₄	—	3	1	no	—
1462	C₂×C₄⋊C₄	—	3	1	no	—
1463	C₂×C₂²⋊C₄	—	3	1	no	—
1464	C₂×C₂²⋊C₄	—	3	1	no	—
1465	C₂×C₂²⋊C₄	—	3	1	no	—
1466	C₂×C₂²⋊C₄	—	3	1	no	—
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	C₂³×C₃	—	2	1	no	—
1473	C₂³×C₃	—	2	1	no	—
1474	C₂³×C₃	—	2	1	no	—
1475	C₂³×C₃	—	2	1	no	—
1476	C₂³×C₃	—	2	1	no	—
1477	C₂³×C₃	—	3	1	no	—
1478	C₂³×C₃	—	3	1	no	—
1479	C₂³×C₃	—	3	1	no	—
1480	C₂³×C₃	—	3	1	no	—
1481	C₂³×C₃	—	3	1	no	—
1482	C₂³×C₃	—	3	1	no	—
1483	C₂³×C₃	—	6	2	no	—
1484	C₂³×C₃	—	6	2	no	—
1485	C₂³×C₃	—	6	2	no	—
1486	C₂³×C₃	—	6	2	no	—
1487	C₂³×C₃	—	6	2	no	—
1488	C₂³×C₃	—	12	1	no	—
1489	C₂³×C₃	—	12	1	no	—
1490	C₂³×C₃	—	12	1	no	—
1491	C₂³×C₃	—	12	1	no	—
1492	C₂³×C₃	—	12	1	no	—
1493	C₂³×C₃	—	12	1	no	—
1494	C₂³×C₃	—	12	1	no	—
1495	C₂³×C₃	—	12	1	no	—
1496	C₂³×C₃	—	12	1	no	—
1497	C₂³×C₃	—	12	1	no	—
1498	C₂³×C₃	—	12	1	no	—
1499	C₂³×C₃	—	12	1	no	—
1500	C₂³×C₃	—	12	1	no	—
1501	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1502	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1503	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1504	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1505	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1506	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1507	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1508	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1509	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1510	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1511	C₂²×D₃	—	2	2	no	—
1512	C₂²×D₃	—	2	2	no	—
1513	C₂²×D₃	—	2	2	no	—
1514	C₂²×D₃	—	2	2	no	—
1515	C₂²×D₃	—	2	2	no	—
1516	C₂²×D₃	—	4	1	no	—
1517	C₂²×D₃	—	4	1	no	—
1518	C₂²×D₃	—	4	1	no	—
1519	C₂²×D₃	—	4	1	no	—
1520	C₂²×D₃	—	4	1	no	—
1521	C₂²×D₃	—	4	1	no	—
1522	C₂²×D₃	—	4	1	no	—
1523	C₂²×D₃	—	4	1	no	—
1524	C₂²×D₃	—	4	1	no	—
1525	C₂²×D₃	—	4	1	no	—
1526	C₂²×D₃	—	4	1	no	—
1527	C₂²×D₃	—	4	1	no	—
1528	C₂²×D₃	—	4	1	no	—
1529	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1530	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1531	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1532	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1533	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1534	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1535	C₃×Q₈	—	12	1	no	—
1536	C₃×Q₈	—	12	1	no	—
1537	C₃×Q₈	—	12	1	no	—
1538	C₃×D₄	—	4	1	no	—
1539	C₃×D₄	—	4	1	no	—
1540	C₃×D₄	—	4	1	no	—
1541	C₃×D₄	—	4	1	no	—
1542	C₃×D₄	—	4	1	no	—
1543	C₃×D₄	—	4	1	no	—
1544	C₃×D₄	—	4	1	no	—
1545	C₃×D₄	—	4	1	no	—
1546	C₃×D₄	—	4	1	no	—
1547	C₃×D₄	—	4	1	no	—
1548	C₃×D₄	—	4	1	no	—
1549	C₃×D₄	—	4	1	no	—
1550	C₃×D₄	—	4	1	no	—
1551	C₃×D₄	—	4	1	no	—
1552	C₃×D₄	—	4	1	no	—
1553	C₃×D₄	—	4	1	no	—
1554	C₃×D₄	—	4	1	no	—
1555	C₃×D₄	—	4	1	no	—
1556	C₃×D₄	—	4	1	no	—
1557	C₃×D₄	—	4	1	no	—
1558	C₃×D₄	—	4	2	no	—
1559	C₃×D₄	—	4	2	no	—
1560	C₃×D₄	—	6	2	no	—
1561	C₃×D₄	—	6	2	no	—
1562	C₃×D₄	—	6	2	no	—
1563	C₃×D₄	—	6	2	no	—
1564	C₃×D₄	—	6	2	no	—
1565	C₃×D₄	—	6	2	no	—
1566	C₃×D₄	—	6	2	no	—
1567	C₃×D₄	—	6	2	no	—
1568	C₃×D₄	—	6	2	no	—
1569	C₃×D₄	—	6	2	no	—
1570	C₃×D₄	—	8	1	no	—
1571	C₃×D₄	—	8	1	no	—
1572	C₃×D₄	—	8	1	no	—
1573	C₃×D₄	—	8	1	no	—
1574	C₃×D₄	—	8	1	no	—
1575	C₃×D₄	—	8	1	no	—
1576	C₃×D₄	—	8	1	no	—
1577	C₃×D₄	—	8	1	no	—
1578	C₃×D₄	—	12	1	no	—
1579	C₃×D₄	—	12	1	no	—
1580	C₃×D₄	—	12	1	no	—
1581	C₃×D₄	—	12	1	no	—
1582	C₃×D₄	—	12	1	no	—
1583	C₃×D₄	—	12	1	no	—
1584	C₃×D₄	—	12	1	no	—
1585	C₃×D₄	—	12	1	no	—
1586	C₃×D₄	—	12	1	no	—
1587	C₃×D₄	—	12	1	no	—
1588	C₃×D₄	—	12	1	no	—
1589	C₃×D₄	—	12	1	no	—
1590	C₃×D₄	—	12	1	no	—
1591	C₃×D₄	—	12	1	no	—
1592	C₃×D₄	—	12	1	no	—
1593	C₃×D₄	—	12	1	no	—
1594	C₃×D₄	—	12	1	no	—
1595	C₂×C₃×C₄	—	2	1	no	—
1596	C₂×C₃×C₄	—	2	1	no	—
1597	C₂×C₃×C₄	—	2	1	no	—
1598	C₂×C₃×C₄	—	2	1	no	—
1599	C₂×C₃×C₄	—	2	1	no	—
1600	C₂×C₃×C₄	—	2	1	no	—
1601	C₂×C₃×C₄	—	2	1	no	—
1602	C₂×C₃×C₄	—	2	1	no	—
1603	C₂×C₃×C₄	—	2	1	no	—
1604	C₂×C₃×C₄	—	2	1	no	—
1605	C₂×C₃×C₄	—	3	1	no	—
1606	C₂×C₃×C₄	—	3	1	no	—
1607	C₂×C₃×C₄	—	3	1	no	—
1608	C₂×C₃×C₄	—	3	1	no	—
1609	C₂×C₃×C₄	—	3	1	no	—
1610	C₂×C₃×C₄	—	3	1	no	—
1611	C₂×C₃×C₄	—	3	1	no	—
1612	C₂×C₃×C₄	—	3	1	no	—
1613	C₂×C₃×C₄	—	3	1	no	—
1614	C₂×C₃×C₄	—	3	1	no	—
1615	C₂×C₃×C₄	—	4	1	no	—
1616	C₂×C₃×C₄	—	4	1	no	—
1617	C₂×C₃×C₄	—	4	1	no	—
1618	C₂×C₃×C₄	—	4	1	no	—
1619	C₂×C₃×C₄	—	4	1	no	—
1620	C₂×C₃×C₄	—	4	1	no	—
1621	C₂×C₃×C₄	—	4	1	no	—
1622	C₂×C₃×C₄	—	4	1	no	—
1623	C₂×C₃×C₄	—	4	1	no	—
1624	C₂×C₃×C₄	—	4	1	no	—
1625	C₂×C₃×C₄	—	4	2	no	—
1626	C₂×C₃×C₄	—	6	2	no	—
1627	C₂×C₃×C₄	—	6	2	no	—
1628	C₂×C₃×C₄	—	6	2	no	—
1629	C₂×C₃×C₄	—	8	1	no	—
1630	C₂×C₃×C₄	—	8	1	no	—
1631	C₂×C₃×C₄	—	8	1	no	—
1632	C₂×C₃×C₄	—	8	1	no	—
1633	C₂×C₃×C₄	—	12	1	no	—
1634	C₂×C₃×C₄	—	12	1	no	—
1635	C₂×C₃×C₄	—	12	1	no	—
1636	C₂×C₃×C₄	—	12	1	no	—
1637	C₂×C₃×C₄	—	12	1	no	—
1638	C₂×C₃×C₄	—	12	1	no	—
1639	C₂×C₃×C₄	—	12	1	no	—
1640	C₂×C₃×C₄	—	12	1	no	—
1641	C₂×C₃×C₄	—	12	1	no	—
1642	C₂×C₃×C₄	—	12	1	no	—
1643	C₂×C₃×C₄	—	12	1	no	—
1644	C₂×C₃×C₄	—	12	1	no	—
1645	C₂×C₃×C₄	—	12	1	no	—
1646	C₂×C₃×C₄	—	12	1	no	—
1647	C₂×C₃×C₄	—	12	1	no	—
1648	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1649	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1650	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1651	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1652	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1653	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1654	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1655	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1656	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1657	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1658	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1659	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1660	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1661	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1662	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1663	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1664	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1665	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1666	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1667	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1668	#67	—	2	2	no	—
1669	#67	—	2	2	no	—
1670	#67	—	2	2	no	—
1671	#67	—	2	2	no	—
1672	#67	—	2	2	no	—
1673	#67	—	4	1	no	—
1674	#67	—	4	1	no	—
1675	#67	—	4	1	no	—
1676	#67	—	4	1	no	—
1677	#67	—	4	1	no	—
1678	#67	—	4	1	no	—
1679	#67	—	4	1	no	—
1680	#67	—	4	1	no	—
1681	#67	—	4	1	no	—
1682	#67	—	4	1	no	—
1683	#67	—	4	1	no	—
1684	#67	—	4	1	no	—
1685	#67	—	4	1	no	—
1686	C₂×Dic₃	—	4	1	no	—
1687	C₂×Dic₃	—	4	1	no	—
1688	C₂×Dic₃	—	4	1	no	—
1689	C₂×Dic₃	—	4	1	no	—
1690	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1691	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1692	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1693	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1694	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1695	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1696	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1697	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1698	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1699	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1700	D₁₂	—	2	2	no	—
1701	D₁₂	—	2	2	no	—
1702	D₁₂	—	2	2	no	—
1703	D₁₂	—	2	2	no	—
1704	D₁₂	—	2	2	no	—
1705	D₁₂	—	4	1	no	—
1706	D₁₂	—	4	1	no	—
1707	D₁₂	—	4	1	no	—
1708	D₁₂	—	4	1	no	—
1709	C₄×D₃	—	2	2	no	—
1710	C₄×D₃	—	2	2	no	—
1711	C₄×D₃	—	2	2	no	—
1712	C₄×D₃	—	4	1	no	—
1713	C₄×D₃	—	4	1	no	—
1714	C₄×D₃	—	4	1	no	—
1715	C₄×D₃	—	4	1	no	—
1716	C₄×D₃	—	4	1	no	—
1717	C₄×D₃	—	4	1	no	—
1718	C₄×D₃	—	4	1	no	—
1719	C₄×D₃	—	4	1	no	—
1720	C₄×D₃	—	4	1	no	—
1721	C₄×D₃	—	4	1	no	—
1722	C₄×D₃	—	4	1	no	—
1723	Dic₆	—	4	1	no	—
1724	Dic₆	—	4	1	no	—
1725	Dic₆	—	4	1	no	—
1726	C₂×C₃²	—	4	1	no	—
1727	C₂×C₃²	—	4	1	no	—
1728	C₂×C₃²	—	4	1	no	—
1729	C₂×C₃²	—	4	1	no	—
1730	C₂×C₃²	—	4	1	no	—
1731	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1732	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1733	C₂×C₃²	#585	1	1	yes	characteristic
1734	C₃×D₃	—	2	2	no	—
1735	C₃×D₃	—	2	2	no	—
1736	C₃×D₃	—	4	1	no	—
1737	C₃×D₃	—	4	1	no	—
1738	C₃×D₃	—	4	1	no	—
1739	C₃×D₃	—	4	1	no	—
1740	C₂⁴	—	3	1	no	—
1741	C₂⁴	—	3	1	no	—
1742	C₂⁴	—	3	1	no	—
1743	C₂⁴	—	3	1	no	—
1744	C₂⁴	—	3	1	no	—
1745	C₂⁴	—	3	1	no	—
1746	#41	—	12	2	no	—
1747	#41	—	12	2	no	—
1748	#41	—	12	2	no	—
1749	C₂×Q₈	—	3	1	no	—
1750	C₂×Q₈	—	3	1	no	—
1751	C₂×Q₈	—	3	1	no	—
1752	C₂×D₄	—	3	1	no	—
1753	C₂×D₄	—	3	1	no	—
1754	C₂×D₄	—	3	1	no	—
1755	C₂×D₄	—	3	1	no	—
1756	C₂×D₄	—	3	1	no	—
1757	C₂×D₄	—	3	1	no	—
1758	C₂×D₄	—	3	1	no	—
1759	C₂×D₄	—	3	1	no	—
1760	C₂×D₄	—	3	1	no	—
1761	C₂×D₄	—	3	1	no	—
1762	C₂×D₄	—	3	1	no	—
1763	C₂×D₄	—	3	1	no	—
1764	C₂×D₄	—	3	1	no	—
1765	C₂×D₄	—	3	1	no	—
1766	C₂×D₄	—	3	1	no	—
1767	C₂×D₄	—	3	1	no	—
1768	C₂×D₄	—	3	1	no	—
1769	C₂×D₄	—	3	1	no	—
1770	C₂×D₄	—	3	1	no	—
1771	C₂×D₄	—	3	1	no	—
1772	C₂×D₄	—	3	1	no	—
1773	C₂×D₄	—	3	1	no	—
1774	C₂×D₄	—	3	1	no	—
1775	C₂×D₄	—	3	1	no	—
1776	C₂×D₄	—	3	1	no	—
1777	C₂×D₄	—	3	1	no	—
1778	C₂×D₄	—	3	1	no	—
1779	C₂×D₄	—	12	2	no	—
1780	C₂×D₄	—	12	2	no	—
1781	C₂×D₄	—	12	2	no	—
1782	C₂×D₄	—	12	2	no	—
1783	C₂×D₄	—	12	2	no	—
1784	C₂×D₄	—	12	2	no	—
1785	C₂×D₄	—	12	2	no	—
1786	C₂×D₄	—	12	2	no	—
1787	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1788	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1789	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1790	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1791	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1792	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1793	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1794	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1795	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1796	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1797	C₂²×C₄	—	3	1	no	—
1798	C₂²×C₄	—	3	1	no	—
1799	C₂²×C₄	—	3	1	no	—
1800	C₂²×C₄	—	3	1	no	—
1801	C₂²×C₄	—	3	1	no	—
1802	C₂²×C₄	—	3	1	no	—
1803	C₂²×C₄	—	3	1	no	—
1804	C₂²×C₄	—	3	1	no	—
1805	C₂²×C₄	—	3	1	no	—
1806	C₂²×C₄	—	3	1	no	—
1807	C₂²×C₄	—	3	1	no	—
1808	C₂²×C₄	—	3	1	no	—
1809	C₂²×C₄	—	3	1	no	—
1810	C₂²×C₄	—	3	1	no	—
1811	C₂²×C₄	—	3	1	no	—
1812	C₂²×C₄	—	3	1	no	—
1813	C₂²×C₄	—	3	1	no	—
1814	C₂²×C₄	—	3	1	no	—
1815	C₂²×C₄	—	12	2	no	—
1816	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1817	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1818	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1819	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1820	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1821	C₄⋊C₄	—	3	1	no	—
1822	C₄⋊C₄	—	3	1	no	—
1823	C₄⋊C₄	—	3	1	no	—
1824	C₄⋊C₄	—	3	1	no	—
1825	C₄⋊C₄	—	3	1	no	—
1826	C₄⋊C₄	—	3	1	no	—
1827	C₄⋊C₄	—	3	1	no	—
1828	C₄⋊C₄	—	3	1	no	—
1829	C₄⋊C₄	—	3	1	no	—
1830	C₄⋊C₄	—	3	1	no	—
1831	C₄⋊C₄	—	3	1	no	—
1832	C₄⋊C₄	—	3	1	no	—
1833	C₄⋊C₄	—	3	1	no	—
1834	C₄⋊C₄	—	3	1	no	—
1835	C₄⋊C₄	—	3	1	no	—
1836	C₄⋊C₄	—	3	1	no	—
1837	C₄⋊C₄	—	3	1	no	—
1838	C₄⋊C₄	—	3	1	no	—
1839	C₄⋊C₄	—	3	1	no	—
1840	C₄⋊C₄	—	3	1	no	—
1841	C₄⋊C₄	—	3	1	no	—
1842	C₄⋊C₄	—	3	1	no	—
1843	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1844	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1845	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1846	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1847	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1848	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1849	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1850	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1851	C₂²⋊C₄	—	3	1	no	—
1852	C₂²⋊C₄	—	3	1	no	—
1853	C₂²⋊C₄	—	3	1	no	—
1854	C₂²⋊C₄	—	3	1	no	—
1855	C₂²⋊C₄	—	3	1	no	—
1856	C₂²⋊C₄	—	3	1	no	—
1857	C₂²⋊C₄	—	3	1	no	—
1858	C₂²⋊C₄	—	3	1	no	—
1859	C₂²⋊C₄	—	3	1	no	—
1860	C₂²⋊C₄	—	3	1	no	—
1861	C₂²⋊C₄	—	3	1	no	—
1862	C₂²⋊C₄	—	3	1	no	—
1863	C₂²⋊C₄	—	3	1	no	—
1864	C₂²⋊C₄	—	3	1	no	—
1865	C₂²⋊C₄	—	3	1	no	—
1866	C₂²⋊C₄	—	3	1	no	—
1867	C₂²⋊C₄	—	3	1	no	—
1868	C₂²⋊C₄	—	3	1	no	—
1869	C₂²⋊C₄	—	3	1	no	—
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	C₂²×C₃×D₃	1	1	yes	characteristic
1892	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1893	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1894	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1895	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1896	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1897	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1898	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1899	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1900	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1901	C₄²	—	3	1	no	—
1902	C₄²	—	3	1	no	—
1903	C₄²	—	3	1	no	—
1904	C₄²	—	3	1	no	—
1905	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1906	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1907	C₂²×C₃	—	2	1	no	—
1908	C₂²×C₃	—	2	1	no	—
1909	C₂²×C₃	—	2	1	no	—
1910	C₂²×C₃	—	2	1	no	—
1911	C₂²×C₃	—	2	1	no	—
1912	C₂²×C₃	—	2	1	no	—
1913	C₂²×C₃	—	2	1	no	—
1914	C₂²×C₃	—	2	1	no	—
1915	C₂²×C₃	—	2	1	no	—
1916	C₂²×C₃	—	2	1	no	—
1917	C₂²×C₃	—	2	1	no	—
1918	C₂²×C₃	—	2	1	no	—
1919	C₂²×C₃	—	2	1	no	—
1920	C₂²×C₃	—	2	1	no	—
1921	C₂²×C₃	—	2	1	no	—
1922	C₂²×C₃	—	2	1	no	—
1923	C₂²×C₃	—	2	1	no	—
1924	C₂²×C₃	—	2	1	no	—
1925	C₂²×C₃	—	2	1	no	—
1926	C₂²×C₃	—	2	1	no	—
1927	C₂²×C₃	—	2	1	no	—
1928	C₂²×C₃	—	2	1	no	—
1929	C₂²×C₃	—	2	1	no	—
1930	C₂²×C₃	—	2	1	no	—
1931	C₂²×C₃	—	2	1	no	—
1932	C₂²×C₃	—	2	1	no	—
1933	C₂²×C₃	—	2	1	no	—
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	—	3	2	no	—
1939	C₂²×C₃	—	3	2	no	—
1940	C₂²×C₃	—	4	1	no	—
1941	C₂²×C₃	—	4	1	no	—
1942	C₂²×C₃	—	4	1	no	—
1943	C₂²×C₃	—	4	1	no	—
1944	C₂²×C₃	—	4	1	no	—
1945	C₂²×C₃	—	4	1	no	—
1946	C₂²×C₃	—	4	1	no	—
1947	C₂²×C₃	—	4	1	no	—
1948	C₂²×C₃	—	4	1	no	—
1949	C₂²×C₃	—	4	1	no	—
1950	C₂²×C₃	—	4	1	no	—
1951	C₂²×C₃	—	4	1	no	—
1952	C₂²×C₃	—	4	1	no	—
1953	C₂²×C₃	—	4	1	no	—
1954	C₂²×C₃	—	4	1	no	—
1955	C₂²×C₃	—	6	1	no	—
1956	C₂²×C₃	—	6	1	no	—
1957	C₂²×C₃	—	6	1	no	—
1958	C₂²×C₃	—	6	1	no	—
1959	C₂²×C₃	—	6	1	no	—
1960	C₂²×C₃	—	6	1	no	—
1961	C₂²×C₃	—	6	1	no	—
1962	C₂²×C₃	—	6	1	no	—
1963	C₂²×C₃	—	6	1	no	—
1964	C₂²×C₃	—	6	1	no	—
1965	C₂²×C₃	—	6	1	no	—
1966	C₂²×C₃	—	6	1	no	—
1967	C₂²×C₃	—	6	1	no	—
1968	C₂²×C₃	—	6	1	no	—
1969	C₂²×C₃	—	6	1	no	—
1970	C₂²×C₃	—	6	1	no	—
1971	C₂²×C₃	—	12	4	no	—
1972	C₂²×C₃	—	24	2	no	—
1973	C₂²×C₃	—	24	2	no	—
1974	C₂²×C₃	—	24	2	no	—
1975	C₂²×C₃	—	24	2	no	—
1976	C₂²×C₃	—	24	2	no	—
1977	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1978	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1979	C₂×D₃	—	2	1	no	—
1980	C₂×D₃	—	2	1	no	—
1981	C₂×D₃	—	2	1	no	—
1982	C₂×D₃	—	2	1	no	—
1983	C₂×D₃	—	2	1	no	—
1984	C₂×D₃	—	2	1	no	—
1985	C₂×D₃	—	2	1	no	—
1986	C₂×D₃	—	2	1	no	—
1987	C₂×D₃	—	2	1	no	—
1988	C₂×D₃	—	2	1	no	—
1989	C₂×D₃	—	2	1	no	—
1990	C₂×D₃	—	2	1	no	—
1991	C₂×D₃	—	2	1	no	—
1992	C₂×D₃	—	2	1	no	—
1993	C₂×D₃	—	2	1	no	—
1994	C₂×D₃	—	2	1	no	—
1995	C₂×D₃	—	4	4	no	—
1996	C₂×D₃	—	8	2	no	—
1997	C₂×D₃	—	8	2	no	—
1998	C₂×D₃	—	8	2	no	—
1999	C₂×D₃	—	8	2	no	—
2000	C₂×D₃	—	8	2	no	—
2001	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
2002	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
2003	C₃×C₄	—	2	2	no	—
2004	C₃×C₄	—	2	1	no	—
2005	C₃×C₄	—	2	1	no	—
2006	C₃×C₄	—	2	1	no	—
2007	C₃×C₄	—	2	1	no	—
2008	C₃×C₄	—	2	1	no	—
2009	C₃×C₄	—	2	1	no	—
2010	C₃×C₄	—	2	1	no	—
2011	C₃×C₄	—	2	1	no	—
2012	C₃×C₄	—	2	1	no	—
2013	C₃×C₄	—	2	1	no	—
2014	C₃×C₄	—	2	1	no	—
2015	C₃×C₄	—	2	1	no	—
2016	C₃×C₄	—	2	1	no	—
2017	C₃×C₄	—	2	1	no	—
2018	C₃×C₄	—	2	1	no	—
2019	C₃×C₄	—	2	1	no	—
2020	C₃×C₄	—	2	1	no	—
2021	C₃×C₄	—	2	1	no	—
2022	C₃×C₄	—	2	1	no	—
2023	C₃×C₄	—	2	1	no	—
2024	C₃×C₄	—	4	1	no	—
2025	C₃×C₄	—	4	1	no	—
2026	C₃×C₄	—	4	1	no	—
2027	C₃×C₄	—	4	1	no	—
2028	C₃×C₄	—	4	1	no	—
2029	C₃×C₄	—	4	1	no	—
2030	C₃×C₄	—	4	1	no	—
2031	C₃×C₄	—	4	1	no	—
2032	C₃×C₄	—	4	1	no	—
2033	C₃×C₄	—	6	1	no	—
2034	C₃×C₄	—	6	1	no	—
2035	C₃×C₄	—	6	1	no	—
2036	C₃×C₄	—	6	1	no	—
2037	C₃×C₄	—	6	1	no	—
2038	C₃×C₄	—	6	1	no	—
2039	C₃×C₄	—	6	1	no	—
2040	C₃×C₄	—	6	1	no	—
2041	C₃×C₄	—	6	1	no	—
2042	C₃×C₄	—	6	1	no	—
2043	Dic₃	—	2	1	no	—
2044	Dic₃	—	2	1	no	—
2045	Dic₃	—	2	1	no	—
2046	Dic₃	—	2	1	no	—
2047	Dic₃	—	2	1	no	—
2048	Dic₃	—	2	1	no	—
2049	Dic₃	—	2	1	no	—
2050	Dic₃	—	2	1	no	—
2051	Dic₃	—	2	1	no	—
2052	Dic₃	—	2	1	no	—
2053	C₃²	#3534	1	1	yes	characteristic, complemented, Sylow
2054	C₂³	—	3	1	no	—
2055	C₂³	—	3	1	no	—
2056	C₂³	—	3	1	no	—
2057	C₂³	—	3	1	no	—
2058	C₂³	—	3	1	no	—
2059	C₂³	—	3	1	no	—
2060	C₂³	—	6	2	no	—
2061	C₂³	—	6	2	no	—
2062	C₂³	—	6	2	no	—
2063	C₂³	—	6	2	no	—
2064	C₂³	—	6	2	no	—
2065	C₂³	—	12	1	no	—
2066	C₂³	—	12	1	no	—
2067	C₂³	—	12	1	no	—
2068	C₂³	—	12	1	no	—
2069	C₂³	—	12	1	no	—
2070	C₂³	—	12	1	no	—
2071	C₂³	—	12	1	no	—
2072	C₂³	—	12	1	no	—
2073	C₂³	—	12	1	no	—
2074	C₂³	—	12	1	no	—
2075	C₂³	—	12	1	no	—
2076	C₂³	—	12	1	no	—
2077	C₂³	—	12	1	no	—
2078	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2079	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2080	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2081	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2082	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2083	Q₈	—	12	1	no	—
2084	Q₈	—	12	1	no	—
2085	Q₈	—	12	1	no	—
2086	D₄	—	4	1	no	—
2087	D₄	—	4	1	no	—
2088	D₄	—	4	1	no	—
2089	D₄	—	4	1	no	—
2090	D₄	—	4	1	no	—
2091	D₄	—	4	1	no	—
2092	D₄	—	4	1	no	—
2093	D₄	—	4	1	no	—
2094	D₄	—	4	1	no	—
2095	D₄	—	4	1	no	—
2096	D₄	—	6	2	no	—
2097	D₄	—	6	2	no	—
2098	D₄	—	6	2	no	—
2099	D₄	—	6	2	no	—
2100	D₄	—	6	2	no	—
2101	D₄	—	6	2	no	—
2102	D₄	—	6	2	no	—
2103	D₄	—	6	2	no	—
2104	D₄	—	6	2	no	—
2105	D₄	—	6	2	no	—
2106	D₄	—	12	1	no	—
2107	D₄	—	12	1	no	—
2108	D₄	—	12	1	no	—
2109	D₄	—	12	1	no	—
2110	D₄	—	12	1	no	—
2111	D₄	—	12	1	no	—
2112	D₄	—	12	1	no	—
2113	D₄	—	12	1	no	—
2114	D₄	—	12	1	no	—
2115	D₄	—	12	1	no	—
2116	D₄	—	12	1	no	—
2117	D₄	—	12	1	no	—
2118	D₄	—	12	1	no	—
2119	D₄	—	12	1	no	—
2120	D₄	—	12	1	no	—
2121	D₄	—	12	1	no	—
2122	D₄	—	12	1	no	—
2123	C₂×C₄	—	3	1	no	—
2124	C₂×C₄	—	3	1	no	—
2125	C₂×C₄	—	3	1	no	—
2126	C₂×C₄	—	3	1	no	—
2127	C₂×C₄	—	3	1	no	—
2128	C₂×C₄	—	3	1	no	—
2129	C₂×C₄	—	3	1	no	—
2130	C₂×C₄	—	3	1	no	—
2131	C₂×C₄	—	3	1	no	—
2132	C₂×C₄	—	3	1	no	—
2133	C₂×C₄	—	4	1	no	—
2134	C₂×C₄	—	4	1	no	—
2135	C₂×C₄	—	4	1	no	—
2136	C₂×C₄	—	4	1	no	—
2137	C₂×C₄	—	4	1	no	—
2138	C₂×C₄	—	6	2	no	—
2139	C₂×C₄	—	6	2	no	—
2140	C₂×C₄	—	6	2	no	—
2141	C₂×C₄	—	12	1	no	—
2142	C₂×C₄	—	12	1	no	—
2143	C₂×C₄	—	12	1	no	—
2144	C₂×C₄	—	12	1	no	—
2145	C₂×C₄	—	12	1	no	—
2146	C₂×C₄	—	12	1	no	—
2147	C₂×C₄	—	12	1	no	—
2148	C₂×C₄	—	12	1	no	—
2149	C₂×C₄	—	12	1	no	—
2150	C₂×C₄	—	12	1	no	—
2151	C₂×C₄	—	12	1	no	—
2152	C₂×C₄	—	12	1	no	—
2153	C₂×C₄	—	12	1	no	—
2154	C₂×C₄	—	12	1	no	—
2155	C₂×C₄	—	12	1	no	—
2156	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2157	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2158	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2159	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2160	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2161	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2162	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2163	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2164	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2165	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2166	C₂×C₃	—	2	1	no	—
2167	C₂×C₃	—	2	1	no	—
2168	C₂×C₃	—	2	1	no	—
2169	C₂×C₃	—	4	1	no	—
2170	C₂×C₃	—	4	1	no	—
2171	C₂×C₃	—	4	1	no	—
2172	C₂×C₃	—	4	1	no	—
2173	C₂×C₃	—	4	1	no	—
2174	C₂×C₃	—	4	1	no	—
2175	C₂×C₃	—	4	1	no	—
2176	C₂×C₃	—	4	1	no	—
2177	C₂×C₃	—	4	1	no	—
2178	C₂×C₃	—	4	1	no	—
2179	C₂×C₃	—	6	2	no	—
2180	C₂×C₃	—	6	2	no	—
2181	C₂×C₃	—	8	1	no	—
2182	C₂×C₃	—	8	1	no	—
2183	C₂×C₃	—	8	1	no	—
2184	C₂×C₃	—	8	1	no	—
2185	C₂×C₃	—	8	1	no	—
2186	C₂×C₃	—	12	1	no	—
2187	C₂×C₃	—	12	1	no	—
2188	C₂×C₃	—	12	1	no	—
2189	C₂×C₃	—	12	1	no	—
2190	C₂×C₃	#5964	1	1	yes	characteristic
2191	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
2192	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
2193	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2194	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2195	C₂×C₃	C₃×#585	1	1	yes	characteristic
2196	D₃	—	2	2	no	—
2197	D₃	—	2	2	no	—
2198	D₃	—	4	1	no	—
2199	D₃	—	4	1	no	—
2200	D₃	—	4	1	no	—
2201	D₃	—	4	1	no	—
2202	C₂²	—	2	1	no	—
2203	C₂²	—	2	1	no	—
2204	C₂²	—	2	1	no	—
2205	C₂²	—	2	1	no	—
2206	C₂²	—	2	1	no	—
2207	C₂²	—	2	1	no	—
2208	C₂²	—	2	1	no	—
2209	C₂²	—	2	1	no	—
2210	C₂²	—	2	1	no	—
2211	C₂²	—	2	1	no	—
2212	C₂²	—	2	1	no	—
2213	C₂²	—	2	1	no	—
2214	C₂²	—	2	1	no	—
2215	C₂²	—	2	1	no	—
2216	C₂²	—	2	1	no	—
2217	C₂²	—	3	2	no	—
2218	C₂²	—	3	2	no	—
2219	C₂²	—	6	1	no	—
2220	C₂²	—	6	1	no	—
2221	C₂²	—	6	1	no	—
2222	C₂²	—	6	1	no	—
2223	C₂²	—	6	1	no	—
2224	C₂²	—	6	1	no	—
2225	C₂²	—	6	1	no	—
2226	C₂²	—	6	1	no	—
2227	C₂²	—	6	1	no	—
2228	C₂²	—	6	1	no	—
2229	C₂²	—	6	1	no	—
2230	C₂²	—	6	1	no	—
2231	C₂²	—	6	1	no	—
2232	C₂²	—	6	1	no	—
2233	C₂²	—	6	1	no	—
2234	C₂²	—	6	1	no	—
2235	C₂²	—	12	4	no	—
2236	C₂²	—	24	2	no	—
2237	C₂²	—	24	2	no	—
2238	C₂²	—	24	2	no	—
2239	C₂²	—	24	2	no	—
2240	C₂²	—	24	2	no	—
2241	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
2242	C₄	—	2	1	no	—
2243	C₄	—	2	1	no	—
2244	C₄	—	2	1	no	—
2245	C₄	—	2	1	no	—
2246	C₄	—	2	1	no	—
2247	C₄	—	2	1	no	—
2248	C₄	—	2	1	no	—
2249	C₄	—	2	1	no	—
2250	C₄	—	2	1	no	—
2251	C₄	—	2	1	no	—
2252	C₄	—	6	1	no	—
2253	C₄	—	6	1	no	—
2254	C₄	—	6	1	no	—
2255	C₄	—	6	1	no	—
2256	C₄	—	6	1	no	—
2257	C₄	—	6	1	no	—
2258	C₄	—	6	1	no	—
2259	C₄	—	6	1	no	—
2260	C₄	—	6	1	no	—
2261	C₄	—	6	1	no	—
2262	C₃	—	2	1	no	—
2263	C₃	#86490	1	1	yes	characteristic, direct product factor
2264	C₃	C₃×#3534	1	1	yes	characteristic, complemented
2265	C₂	—	4	1	no	—
2266	C₂	—	4	1	no	—
2267	C₂	—	4	1	no	—
2268	C₂	—	4	1	no	—
2269	C₂	—	4	1	no	—
2270	C₂	—	6	2	no	—
2271	C₂	—	6	2	no	—
2272	C₂	—	12	1	no	—
2273	C₂	—	12	1	no	—
2274	C₂	—	12	1	no	—
2275	C₂	—	12	1	no	—
2276	C₂	C₃×#5964	1	1	yes	characteristic
2277	C₂	C₃×D₃×H(5,𝔽₂)	1	1	yes	characteristic
2278	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×#540	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#540	D₃
hypocenter	C₃	C₃×#3534
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#540

Complements

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

N	H ≅ G/N	type
1. C₃²×#540	C₂	semidirect
2. C₃×#5720	C₂	semidirect
3. C₃×#5717	C₂	semidirect
4. C₃×#5692	C₂	semidirect
5. C₃×#5692	C₂	semidirect
6. C₃×#5667	C₂	semidirect
7. C₃×#5661	C₂	semidirect
8. C₃×#5660	C₂	semidirect
9. C₃×#5657	C₂	semidirect
10. C₃×#5654	C₂	semidirect
11. C₃×#5654	C₂	semidirect
12. C₃×#5653	C₂	semidirect
13. C₃×D₃×#123	C₂	semidirect
14. C₃×#5621	C₂	semidirect
15. C₃×#5620	C₂	semidirect
16. C₃×#5615	C₂	semidirect
17. C₃×#5613	C₂	semidirect
18. C₃×#5612	C₂	semidirect
19. C₃×#5610	C₂	semidirect
20. C₃×#5610	C₂	semidirect
21. C₃×#5609	C₂	semidirect
22. C₃×#5608	C₂	semidirect
23. C₃×#5605	C₂	semidirect
24. C₃×#5605	C₂	semidirect
25. C₃×D₃×#121	C₂	semidirect
26. C₃×#5560	C₂	semidirect
27. C₃×#5556	C₂	semidirect
28. C₃×#5550	C₂	semidirect
29. C₃×#5547	C₂	semidirect
30. C₃×#5530	C₂	semidirect
31. C₃×#5527	C₂	semidirect
33. #86490	C₃	direct (N × H)
34. C₂×C₃×#237	C₂²	semidirect
36. C₂×C₃×D₃×D₄	C₂²	semidirect
37. C₂×C₃×D₃×D₄	C₂²	semidirect
38. C₂×C₃×D₃×D₄	C₂²	semidirect
39. C₂×C₃×D₃×D₄	C₂²	semidirect
40. C₂×C₃×D₃×D₄	C₂²	semidirect
41. C₂×C₃×D₃×D₄	C₂²	semidirect
42. C₂×C₃×#235	C₂²	semidirect
43. C₂×C₃×#235	C₂²	semidirect
44. C₂²×C₃×D₁₂	C₂²	semidirect
45. C₂²×C₃×C₄×D₃	C₂²	semidirect
46. C₃²×#127	C₂²	semidirect
47. C₃²×#125	C₂²	semidirect
48. C₃²×#123	C₂²	semidirect
49. C₃²×#123	C₂²	semidirect
50. C₃²×#123	C₂²	semidirect
51. C₃²×#123	C₂²	semidirect
52. C₃²×#121	C₂²	semidirect
53. C₃²×#121	C₂²	semidirect
54. C₃²×#121	C₂²	semidirect
55. C₃²×#121	C₂²	semidirect
56. C₃²×#121	C₂²	semidirect
57. C₃²×#121	C₂²	semidirect
58. C₃²×C₄×D₄	C₂²	semidirect
59. C₃²×C₄×D₄	C₂²	semidirect
60. C₃²×#117	C₂²	semidirect
61. C₃×#940	C₂²	semidirect
62. C₃×#939	C₂²	semidirect
63. C₃×#939	C₂²	semidirect
64. C₃×#939	C₂²	semidirect
65. C₃×#939	C₂²	semidirect
66. C₃×#939	C₂²	semidirect
67. C₃×#939	C₂²	semidirect
68. C₃×#939	C₂²	semidirect
69. C₃×#939	C₂²	semidirect
70. C₃×#939	C₂²	semidirect
71. C₃×#939	C₂²	semidirect
73. C₃×#938	C₂²	semidirect
74. C₃×#938	C₂²	semidirect
75. C₃×#938	C₂²	semidirect
76. C₃×#938	C₂²	semidirect
77. C₃×#938	C₂²	semidirect
79. C₃×#937	C₂²	semidirect
80. C₃×#937	C₂²	semidirect
81. C₃×#937	C₂²	semidirect
82. C₃×#937	C₂²	semidirect
83. C₃×#937	C₂²	semidirect
84. C₃×#937	C₂²	semidirect
85. C₃×#937	C₂²	semidirect
86. C₃×#937	C₂²	semidirect
87. C₃×#937	C₂²	semidirect
88. C₃×#936	C₂²	semidirect
89. C₃×#935	C₂²	semidirect
90. C₃×#935	C₂²	semidirect
91. C₃×#935	C₂²	semidirect
92. C₃×#935	C₂²	semidirect
93. C₃×#930	C₂²	semidirect
94. C₃×#930	C₂²	semidirect
95. C₃×#930	C₂²	semidirect
96. C₃×#929	C₂²	semidirect
97. C₃×#929	C₂²	semidirect
98. C₃×#929	C₂²	semidirect
99. C₃×C₄×#67	C₂²	semidirect
100. C₃×C₄×#67	C₂²	semidirect
101. C₃×C₄×#67	C₂²	semidirect
102. C₃×C₄×#67	C₂²	semidirect
103. C₃×C₄×#67	C₂²	semidirect
104. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
105. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
106. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
107. C₃×#924	C₂²	semidirect
108. C₃×#924	C₂²	semidirect
109. C₃×#898	C₂²	semidirect
110. C₃×#898	C₂²	semidirect
111. C₃×#898	C₂²	semidirect
112. C₃×#897	C₂²	semidirect
113. C₃×#897	C₂²	semidirect
114. C₃×#896	C₂²	semidirect
115. C₃×#896	C₂²	semidirect
116. C₃×#896	C₂²	semidirect
117. C₃×#896	C₂²	semidirect
118. C₃×#896	C₂²	semidirect
121. C₃×#895	C₂²	semidirect
122. C₃×#894	C₂²	semidirect
123. C₃×#894	C₂²	semidirect
124. C₃×#894	C₂²	semidirect
125. C₃×#894	C₂²	semidirect
126. C₃×#894	C₂²	semidirect
127. C₃×#894	C₂²	semidirect
128. C₃×#894	C₂²	semidirect
129. C₃×#894	C₂²	semidirect
130. C₃×#894	C₂²	semidirect
131. C₃×#894	C₂²	semidirect
132. C₃×#893	C₂²	semidirect
133. C₃×#893	C₂²	semidirect
134. C₃×#893	C₂²	semidirect
135. C₃×D₃×C₄⋊C₄	C₂²	semidirect
136. C₃×D₃×C₄⋊C₄	C₂²	semidirect
137. C₃×D₃×C₄⋊C₄	C₂²	semidirect
138. C₃×#890	C₂²	semidirect
139. C₃×#889	C₂²	semidirect
140. C₃×#889	C₂²	semidirect
141. C₃×#886	C₂²	semidirect
142. C₃×#885	C₂²	semidirect
143. C₃×#885	C₂²	semidirect
144. C₃×#885	C₂²	semidirect
145. C₃×#885	C₂²	semidirect
146. C₃×#884	C₂²	semidirect
147. C₃×#884	C₂²	semidirect
148. C₃×#884	C₂²	semidirect
149. C₃×#884	C₂²	semidirect
150. C₃×#884	C₂²	semidirect
151. C₃×#884	C₂²	semidirect
152. C₃×#884	C₂²	semidirect
153. C₃×#884	C₂²	semidirect
154. C₃×#883	C₂²	semidirect
155. C₃×#883	C₂²	semidirect
156. C₃×#883	C₂²	semidirect
157. C₃×#883	C₂²	semidirect
158. C₃×#883	C₂²	semidirect
159. C₃×#883	C₂²	semidirect
161. C₃×#882	C₂²	semidirect
162. C₃×#882	C₂²	semidirect
163. C₃×#882	C₂²	semidirect
164. C₃×#882	C₂²	semidirect
165. C₃×#882	C₂²	semidirect
166. C₃×#67⋊C₄	C₂²	semidirect
167. C₃×#67⋊C₄	C₂²	semidirect
168. C₃×#67⋊C₄	C₂²	semidirect
169. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
170. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
171. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
172. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
173. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
174. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
175. C₃×#879	C₂²	semidirect
176. C₃×#879	C₂²	semidirect
177. C₃×#878	C₂²	semidirect
178. C₃×#878	C₂²	semidirect
179. C₃×#878	C₂²	semidirect
180. C₃×#877	C₂²	semidirect
181. C₃×#876	C₂²	semidirect
182. C₃×#876	C₂²	semidirect
183. C₃×#876	C₂²	semidirect
184. C₃×#875	C₂²	semidirect
185. C₃×C₄×D₁₂	C₂²	semidirect
186. C₃×C₄×D₁₂	C₂²	semidirect
187. C₃×C₄×D₁₂	C₂²	semidirect
188. C₃×#872	C₂²	semidirect
207. C₃×#540	D₃	semidirect
208. C₃×#540	C₂×C₃	semidirect
222. #5720	C₂×C₃	semidirect
223. #5717	C₂×C₃	semidirect
224. #5692	C₂×C₃	semidirect
225. #5692	C₂×C₃	semidirect
226. #5667	C₂×C₃	semidirect
227. #5661	C₂×C₃	semidirect
228. #5660	C₂×C₃	semidirect
229. #5657	C₂×C₃	semidirect
230. #5654	C₂×C₃	semidirect
231. #5654	C₂×C₃	semidirect
232. #5653	C₂×C₃	semidirect
233. D₃×#123	C₂×C₃	semidirect
234. #5621	C₂×C₃	semidirect
235. #5620	C₂×C₃	semidirect
236. #5615	C₂×C₃	semidirect
237. #5613	C₂×C₃	semidirect
238. #5612	C₂×C₃	semidirect
239. #5610	C₂×C₃	semidirect
240. #5610	C₂×C₃	semidirect
241. #5609	C₂×C₃	semidirect
242. #5608	C₂×C₃	semidirect
243. #5605	C₂×C₃	semidirect
244. #5605	C₂×C₃	semidirect
245. D₃×#121	C₂×C₃	semidirect
246. #5560	C₂×C₃	semidirect
247. #5556	C₂×C₃	semidirect
248. #5550	C₂×C₃	semidirect
249. #5547	C₂×C₃	semidirect
250. #5530	C₂×C₃	semidirect
251. #5527	C₂×C₃	semidirect
432. C₂×#237	C₂²×C₃	semidirect
434. C₂×D₃×D₄	C₂²×C₃	semidirect
435. C₂×D₃×D₄	C₂²×C₃	semidirect
436. C₂×D₃×D₄	C₂²×C₃	semidirect
437. C₂×D₃×D₄	C₂²×C₃	semidirect
438. C₂×D₃×D₄	C₂²×C₃	semidirect
439. C₂×D₃×D₄	C₂²×C₃	semidirect
440. C₂×#235	C₂²×C₃	semidirect
441. C₂×#235	C₂²×C₃	semidirect
442. C₂²×D₁₂	C₂²×C₃	semidirect
443. C₂²×C₄×D₃	C₂²×C₃	semidirect
446. C₃×#127	C₂×D₃	semidirect
447. C₃×#127	C₂²×C₃	semidirect
460. C₃×#125	C₂×D₃	semidirect
461. C₃×#125	C₂²×C₃	semidirect
496. C₃×#123	C₂×D₃	semidirect
497. C₃×#123	C₂×D₃	semidirect
498. C₃×#123	C₂×D₃	semidirect
499. C₃×#123	C₂×D₃	semidirect
500. C₃×#123	C₂²×C₃	semidirect
501. C₃×#123	C₂²×C₃	semidirect
502. C₃×#123	C₂²×C₃	semidirect
503. C₃×#123	C₂²×C₃	semidirect
552. C₃×#121	C₂×D₃	semidirect
553. C₃×#121	C₂×D₃	semidirect
554. C₃×#121	C₂×D₃	semidirect
555. C₃×#121	C₂×D₃	semidirect
556. C₃×#121	C₂×D₃	semidirect
557. C₃×#121	C₂×D₃	semidirect
558. C₃×#121	C₂²×C₃	semidirect
559. C₃×#121	C₂²×C₃	semidirect
560. C₃×#121	C₂²×C₃	semidirect
561. C₃×#121	C₂²×C₃	semidirect
562. C₃×#121	C₂²×C₃	semidirect
563. C₃×#121	C₂²×C₃	semidirect
596. C₃×C₄×D₄	C₂×D₃	semidirect
597. C₃×C₄×D₄	C₂×D₃	semidirect
598. C₃×C₄×D₄	C₂²×C₃	semidirect
599. C₃×C₄×D₄	C₂²×C₃	semidirect
603. C₃×#117	C₂×D₃	semidirect
604. C₃×#117	C₂²×C₃	semidirect
617. #940	C₂²×C₃	semidirect
618. #939	C₂²×C₃	semidirect
619. #939	C₂²×C₃	semidirect
620. #939	C₂²×C₃	semidirect
621. #939	C₂²×C₃	semidirect
622. #939	C₂²×C₃	semidirect
623. #939	C₂²×C₃	semidirect
624. #939	C₂²×C₃	semidirect
625. #939	C₂²×C₃	semidirect
626. #939	C₂²×C₃	semidirect
627. #939	C₂²×C₃	semidirect
629. #938	C₂²×C₃	semidirect
630. #938	C₂²×C₃	semidirect
631. #938	C₂²×C₃	semidirect
632. #938	C₂²×C₃	semidirect
633. #938	C₂²×C₃	semidirect
635. #937	C₂²×C₃	semidirect
636. #937	C₂²×C₃	semidirect
637. #937	C₂²×C₃	semidirect
638. #937	C₂²×C₃	semidirect
639. #937	C₂²×C₃	semidirect
640. #937	C₂²×C₃	semidirect
641. #937	C₂²×C₃	semidirect
642. #937	C₂²×C₃	semidirect
643. #937	C₂²×C₃	semidirect
644. #936	C₂²×C₃	semidirect
645. #935	C₂²×C₃	semidirect
646. #935	C₂²×C₃	semidirect
647. #935	C₂²×C₃	semidirect
648. #935	C₂²×C₃	semidirect
649. #930	C₂²×C₃	semidirect
650. #930	C₂²×C₃	semidirect
651. #930	C₂²×C₃	semidirect
652. #929	C₂²×C₃	semidirect
653. #929	C₂²×C₃	semidirect
654. #929	C₂²×C₃	semidirect
655. C₄×#67	C₂²×C₃	semidirect
656. C₄×#67	C₂²×C₃	semidirect
657. C₄×#67	C₂²×C₃	semidirect
658. C₄×#67	C₂²×C₃	semidirect
659. C₄×#67	C₂²×C₃	semidirect
660. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
661. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
662. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
663. #924	C₂²×C₃	semidirect
664. #924	C₂²×C₃	semidirect
665. #898	C₂²×C₃	semidirect
666. #898	C₂²×C₃	semidirect
667. #898	C₂²×C₃	semidirect
668. #897	C₂²×C₃	semidirect
669. #897	C₂²×C₃	semidirect
670. #896	C₂²×C₃	semidirect
671. #896	C₂²×C₃	semidirect
672. #896	C₂²×C₃	semidirect
673. #896	C₂²×C₃	semidirect
674. #896	C₂²×C₃	semidirect
677. #895	C₂²×C₃	semidirect
678. #894	C₂²×C₃	semidirect
679. #894	C₂²×C₃	semidirect
680. #894	C₂²×C₃	semidirect
681. #894	C₂²×C₃	semidirect
682. #894	C₂²×C₃	semidirect
683. #894	C₂²×C₃	semidirect
684. #894	C₂²×C₃	semidirect
685. #894	C₂²×C₃	semidirect
686. #894	C₂²×C₃	semidirect
687. #894	C₂²×C₃	semidirect
688. #893	C₂²×C₃	semidirect
689. #893	C₂²×C₃	semidirect
690. #893	C₂²×C₃	semidirect
691. D₃×C₄⋊C₄	C₂²×C₃	semidirect
692. D₃×C₄⋊C₄	C₂²×C₃	semidirect
693. D₃×C₄⋊C₄	C₂²×C₃	semidirect
694. #890	C₂²×C₃	semidirect
695. #889	C₂²×C₃	semidirect
696. #889	C₂²×C₃	semidirect
697. #886	C₂²×C₃	semidirect
698. #885	C₂²×C₃	semidirect
699. #885	C₂²×C₃	semidirect
700. #885	C₂²×C₃	semidirect
701. #885	C₂²×C₃	semidirect
702. #884	C₂²×C₃	semidirect
703. #884	C₂²×C₃	semidirect
704. #884	C₂²×C₃	semidirect
705. #884	C₂²×C₃	semidirect
706. #884	C₂²×C₃	semidirect
707. #884	C₂²×C₃	semidirect
708. #884	C₂²×C₃	semidirect
709. #884	C₂²×C₃	semidirect
710. #883	C₂²×C₃	semidirect
711. #883	C₂²×C₃	semidirect
712. #883	C₂²×C₃	semidirect
713. #883	C₂²×C₃	semidirect
714. #883	C₂²×C₃	semidirect
715. #883	C₂²×C₃	semidirect
717. #882	C₂²×C₃	semidirect
718. #882	C₂²×C₃	semidirect
719. #882	C₂²×C₃	semidirect
720. #882	C₂²×C₃	semidirect
721. #882	C₂²×C₃	semidirect
722. #67⋊C₄	C₂²×C₃	semidirect
723. #67⋊C₄	C₂²×C₃	semidirect
724. #67⋊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. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
731. #879	C₂²×C₃	semidirect
732. #879	C₂²×C₃	semidirect
733. #878	C₂²×C₃	semidirect
734. #878	C₂²×C₃	semidirect
735. #878	C₂²×C₃	semidirect
736. #877	C₂²×C₃	semidirect
737. #876	C₂²×C₃	semidirect
738. #876	C₂²×C₃	semidirect
739. #876	C₂²×C₃	semidirect
740. #875	C₂²×C₃	semidirect
741. C₄×D₁₂	C₂²×C₃	semidirect
742. C₄×D₁₂	C₂²×C₃	semidirect
743. C₄×D₁₂	C₂²×C₃	semidirect
744. #872	C₂²×C₃	semidirect
874. #540	C₃×D₃	semidirect
1330. #127	C₂×C₃×D₃	semidirect
1342. #125	C₂×C₃×D₃	semidirect
1373. #123	C₂×C₃×D₃	semidirect
1374. #123	C₂×C₃×D₃	semidirect
1375. #123	C₂×C₃×D₃	semidirect
1376. #123	C₂×C₃×D₃	semidirect
1419. #121	C₂×C₃×D₃	semidirect
1420. #121	C₂×C₃×D₃	semidirect
1421. #121	C₂×C₃×D₃	semidirect
1422. #121	C₂×C₃×D₃	semidirect
1423. #121	C₂×C₃×D₃	semidirect
1424. #121	C₂×C₃×D₃	semidirect
1455. C₄×D₄	C₂×C₃×D₃	semidirect
1456. C₄×D₄	C₂×C₃×D₃	semidirect
1459. #117	C₂×C₃×D₃	semidirect
2053. C₃²	#3534	semidirect
2263. C₃	#86490	direct (N × H)
2264. C₃	C₃×#3534	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#540	2
C₃×#5720	2
C₃×#5717	2
C₃×#5692	2
C₃×#5667	2
C₃×#5661	2
C₃×#5660	2
C₃×#5657	2
C₃×#5654	2
C₃×#5653	2
C₃×D₃×#123	2
C₃×#5621	2
C₃×#5620	2
C₃×#5615	2
C₃×#5613	2
C₃×#5612	2
C₃×#5610	2
C₃×#5609	2
C₃×#5608	2
C₃×#5605	2
C₃×D₃×#121	2
C₃×#5560	2
C₃×#5556	2
C₃×#5550	2
C₃×#5547	2
C₃×#5530	2
C₃×#5527	2
C₃×#3534	3
#86490	3

Subgroups — C3×#86490 #11910930

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86490 #11910930