Subgroups — #11664079

Order 768.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86509	C₂	1	1	yes	maximal, characteristic, complemented
2	#85856	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
4	#83451	C₂	1	1	yes	maximal, characteristic, complemented
5	#82541	C₂	1	1	yes	maximal, characteristic, complemented
6	#81516	C₂	1	1	yes	maximal, characteristic, complemented
7	D₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
8	#81499	C₂	1	1	yes	maximal, characteristic, complemented
9	#81497	C₂	1	1	yes	maximal, characteristic, complemented
10	#81171	C₂	1	1	yes	maximal, characteristic, complemented
11	#81170	C₂	1	1	yes	maximal, characteristic, complemented
12	#81142	C₂	1	1	yes	maximal, characteristic, complemented
13	#81140	C₂	1	1	yes	maximal, characteristic, complemented
14	#80431	C₂	1	1	yes	maximal, characteristic, complemented
15	#80431	C₂	1	1	yes	maximal, characteristic, complemented
16	#80411	C₂	1	1	yes	maximal, characteristic, complemented
17	#80409	C₂	1	1	yes	maximal, characteristic, complemented
18	#80147	C₂	1	1	yes	maximal, characteristic, complemented
19	#80145	C₂	1	1	yes	maximal, characteristic
20	#80137	C₂	1	1	yes	maximal, characteristic, complemented
21	#80136	C₂	1	1	yes	maximal, characteristic, complemented
22	#79783	C₂	1	1	yes	maximal, characteristic, complemented
23	#79780	C₂	1	1	yes	maximal, characteristic, complemented
24	#79778	C₂	1	1	yes	maximal, characteristic, complemented
25	#79776	C₂	1	1	yes	maximal, characteristic, complemented
26	#79655	C₂	1	1	yes	maximal, characteristic, complemented
27	#79652	C₂	1	1	yes	maximal, characteristic, complemented
28	#79650	C₂	1	1	yes	maximal, characteristic, complemented
29	#79648	C₂	1	1	yes	maximal, characteristic, complemented
30	#79394	C₂	1	1	yes	maximal, characteristic, complemented
31	#79374	C₂	1	1	yes	maximal, characteristic, complemented
32	#60586	—	3	1	no	maximal, Sylow
33	C₂²×#237	C₂²	1	1	yes	characteristic
34	C₃×#541	C₂²	1	1	yes	characteristic
35	C₃×#518	C₂²	1	1	yes	characteristic
36	#5798	C₂²	1	1	yes	characteristic
37	C₂×#916	C₂²	1	1	yes	characteristic
38	C₂×#916	C₂²	1	1	yes	characteristic
39	C₂×#915	C₂²	1	1	yes	characteristic
40	C₂×#915	C₂²	1	1	yes	characteristic
41	#5728	C₂²	1	1	yes	characteristic, complemented
42	#5724	C₂²	1	1	yes	characteristic, complemented
43	#5708	—	2	1	no	—
44	#5705	—	2	1	no	—
45	#5705	—	2	1	no	—
46	#5702	—	2	1	no	—
47	#5694	—	2	1	no	—
48	#5693	—	2	1	no	—
49	#5693	—	2	1	no	—
50	#5691	C₂²	1	1	yes	characteristic, complemented
51	#5690	—	2	1	no	—
52	#5689	C₂²	1	1	yes	characteristic, complemented
53	#5643	C₂²	1	1	yes	characteristic
54	#5627	C₂²	1	1	yes	characteristic
55	D₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
56	#5625	C₂²	1	1	yes	characteristic
57	#5580	C₂²	1	1	yes	characteristic, complemented
58	#5578	C₂²	1	1	yes	characteristic, complemented
59	#5574	C₂²	1	1	yes	characteristic, complemented
60	#5572	C₂²	1	1	yes	characteristic, complemented
61	#5546	—	2	1	no	—
62	#5546	—	2	1	no	—
63	#5546	C₂²	1	1	yes	characteristic
64	#5546	C₂²	1	1	yes	characteristic
65	#5546	C₂²	1	1	yes	characteristic
66	#5546	C₂²	1	1	yes	characteristic
67	C₄×#237	—	2	1	no	—
68	C₄×#237	—	2	1	no	—
69	C₄×#237	C₂²	1	1	yes	characteristic
70	C₄×#237	C₂²	1	1	yes	characteristic
71	C₄×#237	C₂²	1	1	yes	characteristic
72	C₄×#237	C₂²	1	1	yes	characteristic
73	#5534	C₂²	1	1	yes	characteristic
74	D₃×#117	C₂²	1	1	yes	characteristic
75	D₃×#117	C₂²	1	1	yes	characteristic
76	#5516	C₂²	1	1	yes	characteristic
77	#5516	C₂²	1	1	yes	characteristic
78	#5486	—	2	1	no	—
79	#5486	—	2	1	no	—
80	C₂×#877	—	2	1	no	—
81	C₂×#877	—	2	1	no	—
82	C₃×#485	C₂²	1	1	yes	characteristic
83	C₃×#485	C₂²	1	1	yes	characteristic
84	C₃×#478	C₂²	1	1	yes	characteristic, complemented
85	C₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₃×#461	C₂²	1	1	yes	characteristic, complemented
87	C₃×#461	C₂²	1	1	yes	characteristic, complemented
88	C₃×#450	C₂²	1	1	yes	characteristic
89	C₃×#450	C₂²	1	1	yes	characteristic
90	C₃×#440	C₂²	1	1	yes	characteristic, complemented
91	C₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
94	C₃×#433	C₂²	1	1	yes	characteristic
95	#5218	C₂²	1	1	yes	characteristic
96	#5217	C₂²	1	1	yes	characteristic
97	#5173	C₂²	1	1	yes	characteristic
98	#5173	C₂²	1	1	yes	characteristic
99	#5173	C₂²	1	1	yes	characteristic
100	#5173	C₂²	1	1	yes	characteristic
101	#5165	C₂²	1	1	yes	characteristic, complemented
102	#5165	C₂²	1	1	yes	characteristic, complemented
103	#5164	C₂²	1	1	yes	characteristic, complemented
104	#5164	C₂²	1	1	yes	characteristic, complemented
105	#5162	C₂²	1	1	yes	characteristic, complemented
106	#5162	C₂²	1	1	yes	characteristic, complemented
107	Dic₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
108	Dic₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
109	#5090	C₂²	1	1	yes	characteristic, complemented
110	#5090	C₂²	1	1	yes	characteristic, complemented
111	#5063	C₂²	1	1	yes	characteristic, complemented
112	#5063	C₂²	1	1	yes	characteristic, complemented
113	#5050	C₂²	1	1	yes	characteristic
114	#5050	C₂²	1	1	yes	characteristic
115	#5045	C₂²	1	1	yes	characteristic
116	#5045	C₂²	1	1	yes	characteristic
117	#5030	C₂²	1	1	yes	characteristic, complemented
118	#5030	C₂²	1	1	yes	characteristic, complemented
119	C₄×#216	C₂²	1	1	yes	characteristic, complemented
120	C₄×#216	C₂²	1	1	yes	characteristic, complemented
121	#5018	C₂²	1	1	yes	characteristic, complemented
122	C₄×#214	C₂²	1	1	yes	characteristic, complemented
123	#5016	C₂²	1	1	yes	characteristic, complemented
124	#5016	C₂²	1	1	yes	characteristic, complemented
125	#5014	C₂²	1	1	yes	characteristic, complemented
126	C₄×#213	C₂²	1	1	yes	characteristic, complemented
127	#5008	C₂²	1	1	yes	characteristic, complemented
128	#5007	C₂²	1	1	yes	characteristic, complemented
129	#5003	C₂²	1	1	yes	characteristic
130	#5000	C₂²	1	1	yes	characteristic
131	#4996	C₂²	1	1	yes	characteristic
132	#4889	C₂²	1	1	yes	characteristic, complemented
133	#4888	C₂²	1	1	yes	characteristic, complemented
134	#4885	C₂²	1	1	yes	characteristic, complemented
135	#4881	C₂²	1	1	yes	characteristic, complemented
136	D₃×#107	C₂²	1	1	yes	characteristic, complemented
137	#4877	C₂²	1	1	yes	characteristic, complemented
138	#4875	C₂²	1	1	yes	characteristic, complemented
139	#4873	C₂²	1	1	yes	characteristic, complemented
140	#4868	C₂²	1	1	yes	characteristic, complemented
141	#4866	C₂²	1	1	yes	characteristic, complemented
142	#4861	C₂²	1	1	yes	characteristic, complemented
143	D₃×#106	C₂²	1	1	yes	characteristic, complemented
144	#4857	C₂²	1	1	yes	characteristic, complemented
145	#4854	C₂²	1	1	yes	characteristic, complemented
146	#4853	C₂²	1	1	yes	characteristic, complemented
147	#4852	C₂²	1	1	yes	characteristic, complemented
148	#4851	C₂²	1	1	yes	characteristic, complemented
149	#4850	C₂²	1	1	yes	characteristic, complemented
150	#4845	C₂²	1	1	yes	characteristic, complemented
151	#4845	C₂²	1	1	yes	characteristic, complemented
152	#4839	C₂²	1	1	yes	characteristic, complemented
153	#4839	C₂²	1	1	yes	characteristic, complemented
154	#4835	C₂²	1	1	yes	characteristic, complemented
155	#4833	C₂²	1	1	yes	characteristic, complemented
156	#4815	C₂²	1	1	yes	characteristic, complemented
157	#4815	C₂²	1	1	yes	characteristic, complemented
158	#4814	C₂²	1	1	yes	characteristic, complemented
159	#4814	C₂²	1	1	yes	characteristic, complemented
160	#4803	C₂²	1	1	yes	characteristic, complemented
161	#4803	C₂²	1	1	yes	characteristic, complemented
162	D₃×#103	C₂²	1	1	yes	characteristic, complemented
163	D₃×#103	C₂²	1	1	yes	characteristic, complemented
164	#4798	C₂²	1	1	yes	characteristic, complemented
165	#4798	C₂²	1	1	yes	characteristic, complemented
166	#4795	C₂²	1	1	yes	characteristic, complemented
167	#4795	C₂²	1	1	yes	characteristic, complemented
168	#4790	C₂²	1	1	yes	characteristic, complemented
169	#4790	C₂²	1	1	yes	characteristic, complemented
170	#4789	C₂²	1	1	yes	characteristic, complemented
171	#4789	C₂²	1	1	yes	characteristic, complemented
172	#4785	C₂²	1	1	yes	characteristic, complemented
173	#4783	C₂²	1	1	yes	characteristic
174	#4783	C₂²	1	1	yes	characteristic
175	#4781	C₂²	1	1	yes	characteristic
176	#4781	C₂²	1	1	yes	characteristic
177	#4772	C₂²	1	1	yes	characteristic
178	#4772	C₂²	1	1	yes	characteristic
179	#4771	C₂²	1	1	yes	characteristic
180	#4771	C₂²	1	1	yes	characteristic
181	#4766	C₂²	1	1	yes	characteristic, complemented
182	#4763	C₂²	1	1	yes	characteristic, complemented
183	#4761	C₂²	1	1	yes	characteristic, complemented
184	#4759	C₂²	1	1	yes	characteristic, complemented
185	#4758	C₂²	1	1	yes	characteristic, complemented
186	#4757	C₂²	1	1	yes	characteristic, complemented
187	#4756	C₂²	1	1	yes	characteristic, complemented
188	#4739	C₂²	1	1	yes	characteristic
189	#4738	C₂²	1	1	yes	characteristic
190	#4737	C₂²	1	1	yes	characteristic
191	#4726	C₂²	1	1	yes	characteristic
192	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#4723	C₂²	1	1	yes	characteristic
194	#4720	C₂²	1	1	yes	characteristic
195	#4720	C₂²	1	1	yes	characteristic
196	#4716	C₂²	1	1	yes	characteristic, complemented
197	#4710	C₂²	1	1	yes	characteristic, complemented
198	#4708	C₂²	1	1	yes	characteristic, complemented
199	#4705	C₂²	1	1	yes	characteristic, complemented
200	C₄×Dic₁₂	C₂²	1	1	yes	characteristic, complemented
201	C₄×#204	C₂²	1	1	yes	characteristic, complemented
202	#4689	C₂²	1	1	yes	characteristic, complemented
203	#4685	C₂²	1	1	yes	characteristic, complemented
204	#3495	—	3	1	no	—
205	#3428	—	3	1	no	—
206	#3127	—	3	1	no	—
207	#3127	—	3	1	no	—
208	#3123	—	3	1	no	—
209	#3123	D₃	1	1	yes	characteristic, complemented
210	#3121	—	3	1	no	—
211	#3121	—	3	1	no	—
212	#3118	—	3	1	no	—
213	#3118	—	3	1	no	—
214	#3116	—	3	1	no	—
215	#3116	—	3	1	no	—
216	#3111	—	3	1	no	—
217	#3111	—	3	1	no	—
218	#3107	—	3	1	no	—
219	#3107	—	3	1	no	—
220	#3102	—	3	1	no	—
221	#3102	—	3	1	no	—
222	#3093	—	3	1	no	—
223	C₂×#485	—	3	1	no	—
224	#3084	—	3	1	no	—
225	#3083	—	3	1	no	—
226	#3046	—	3	1	no	—
227	#3046	—	3	1	no	—
228	#3007	—	3	1	no	—
229	#3002	—	3	1	no	—
230	#2952	—	3	1	no	—
231	#2951	—	3	1	no	—
232	#2947	—	3	1	no	—
233	#2947	—	3	1	no	—
234	#2924	—	3	1	no	—
235	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
236	C₂²×#67	—	2	1	no	—
237	C₂³×Dic₃	—	2	1	no	—
238	C₂×#239	C₂³	1	1	yes	characteristic
239	C₂×D₃×Q₈	C₂³	1	1	yes	characteristic
240	C₂×#237	—	2	4	no	—
241	C₂×#237	—	2	4	no	—
242	C₂×#237	—	2	1	no	—
243	C₂×#237	—	2	1	no	—
244	C₂×#237	C₂³	1	1	yes	characteristic
245	C₂×#237	C₂³	1	1	yes	characteristic
246	C₂×#237	C₂³	1	1	yes	characteristic
247	C₂×#237	C₂³	1	1	yes	characteristic
248	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
249	C₂²×Dic₆	C₂³	1	1	yes	characteristic
250	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
252	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
254	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₃×#126	—	2	1	no	—
256	C₃×#126	—	2	1	no	—
257	C₃×#125	—	2	1	no	—
258	C₃×#125	—	2	1	no	—
259	C₃×#125	C₂³	1	1	yes	characteristic
260	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
263	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
264	C₃×C₄×D₄	—	2	1	no	—
265	C₃×C₄×D₄	—	2	1	no	—
266	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₃×#117	C₂³	1	1	yes	characteristic
271	C₃×#117	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
273	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
274	C₂×#217	—	2	1	no	—
275	C₂×#217	—	2	1	no	—
276	#947	C₂³	1	1	yes	characteristic
277	#946	C₂³	1	1	yes	characteristic
278	#946	C₂³	1	1	yes	characteristic
279	Q₈×Dic₃	C₂³	1	1	yes	characteristic
280	Q₈×Dic₃	C₂³	1	1	yes	characteristic
281	#944	C₂³	1	1	yes	characteristic
282	C₂×#216	C₂³	1	1	yes	characteristic
283	C₂×#216	C₂³	1	1	yes	characteristic
284	C₂×#216	C₂³	1	1	yes	characteristic
285	C₂×#216	C₂³	1	1	yes	characteristic
286	D₄×Dic₃	—	2	1	no	—
287	D₄×Dic₃	—	2	1	no	—
288	D₄×Dic₃	C₂³	1	1	yes	characteristic
289	D₄×Dic₃	C₂³	1	1	yes	characteristic
290	D₄×Dic₃	C₂³	1	1	yes	characteristic
291	D₄×Dic₃	C₂³	1	1	yes	characteristic
292	C₂×#214	C₂³	1	1	yes	characteristic
293	C₂×#214	C₂³	1	1	yes	characteristic
294	C₂×#213	C₂³	1	1	yes	characteristic
295	C₂×#213	C₂³	1	1	yes	characteristic
296	#930	C₂³	1	1	yes	characteristic
297	C₄×#67	—	2	1	no	—
298	C₄×#67	—	2	1	no	—
299	C₄×#67	—	2	1	no	—
300	C₄×#67	—	2	1	no	—
301	C₄×#67	—	2	1	no	—
302	C₄×#67	—	2	1	no	—
303	C₄×#67	—	2	1	no	—
304	C₄×#67	—	2	1	no	—
305	#926	C₂³	1	1	yes	characteristic
306	#926	C₂³	1	1	yes	characteristic
307	#924	C₂³	1	1	yes	characteristic
308	C₂×Dic₃⋊C₄	—	2	1	no	—
309	C₂×Dic₃⋊C₄	—	2	1	no	—
310	C₂×Dic₃⋊C₄	—	2	1	no	—
311	C₂×Dic₃⋊C₄	—	2	1	no	—
312	C₂×C₄×Dic₃	—	2	1	no	—
313	C₂×C₄×Dic₃	—	2	1	no	—
314	C₂×C₄×Dic₃	—	2	1	no	—
315	C₂×C₄×Dic₃	—	2	1	no	—
316	#916	—	2	4	no	—
317	#916	—	2	4	no	—
318	#915	—	2	4	no	—
319	#915	—	2	4	no	—
320	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
321	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
322	C₂×#204	C₂³	1	1	yes	characteristic
323	C₂×#204	C₂³	1	1	yes	characteristic
324	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
325	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
326	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
327	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
328	#898	—	2	1	no	—
329	#898	—	2	1	no	—
330	#898	—	2	1	no	—
331	#898	—	2	1	no	—
332	#897	—	2	1	no	—
333	#897	—	2	1	no	—
334	#897	—	2	1	no	—
335	#897	C₂³	1	1	yes	characteristic
336	#896	—	2	1	no	—
337	#896	—	2	1	no	—
338	#896	—	2	1	no	—
339	#896	—	2	1	no	—
340	#896	—	2	1	no	—
341	#896	—	2	1	no	—
342	#895	C₂³	1	1	yes	characteristic
343	#894	—	2	1	no	—
344	#894	—	2	1	no	—
345	#894	—	2	1	no	—
346	#894	—	2	1	no	—
347	#894	—	2	1	no	—
348	#893	—	2	1	no	—
349	#893	—	2	1	no	—
350	#893	—	2	1	no	—
351	#893	C₂³	1	1	yes	characteristic
352	#892	—	2	1	no	—
353	#892	—	2	1	no	—
354	#892	—	2	1	no	—
355	#892	D₄	1	1	yes	characteristic
356	#892	D₄	1	1	yes	characteristic
357	#892	C₂³	1	1	yes	characteristic
358	#892	C₂³	1	1	yes	characteristic
359	#892	C₂³	1	1	yes	characteristic
360	D₃×C₄⋊C₄	—	2	1	no	—
361	D₃×C₄⋊C₄	—	2	1	no	—
362	D₃×C₄⋊C₄	D₄	1	1	yes	characteristic
363	D₃×C₄⋊C₄	D₄	1	1	yes	characteristic
364	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
366	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
367	#890	—	2	1	no	—
368	#890	—	2	1	no	—
369	#890	C₂³	1	1	yes	characteristic
370	#889	—	2	1	no	—
371	#889	—	2	1	no	—
372	#889	—	2	1	no	—
373	#888	—	2	1	no	—
374	#888	C₂³	1	1	yes	characteristic
375	#887	—	2	1	no	—
376	#887	—	2	1	no	—
377	#887	—	2	1	no	—
378	#887	—	2	1	no	—
379	#887	C₂³	1	1	yes	characteristic
380	#887	C₂³	1	1	yes	characteristic
381	#887	C₂³	1	1	yes	characteristic
382	#887	C₂³	1	1	yes	characteristic
383	#887	C₂³	1	1	yes	characteristic
384	#885	—	2	1	no	—
385	#885	—	2	1	no	—
386	#883	—	2	1	no	—
387	#883	—	2	1	no	—
388	#882	—	2	1	no	—
389	#67⋊C₄	—	2	1	no	—
390	#67⋊C₄	—	2	1	no	—
391	#67⋊C₄	—	2	1	no	—
392	#67⋊C₄	—	2	1	no	—
393	#67⋊C₄	—	2	1	no	—
394	#67⋊C₄	—	2	1	no	—
395	#67⋊C₄	—	2	1	no	—
396	#67⋊C₄	—	2	1	no	—
397	#67⋊C₄	—	2	1	no	—
398	D₃×C₂²⋊C₄	—	2	1	no	—
399	D₃×C₂²⋊C₄	—	2	1	no	—
400	D₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
401	D₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
402	#879	—	2	1	no	—
403	#879	—	2	1	no	—
404	#878	—	2	1	no	—
405	#877	—	2	1	no	—
406	#877	—	2	1	no	—
407	#877	—	2	1	no	—
408	#877	—	2	1	no	—
409	#877	—	2	1	no	—
410	#877	—	2	1	no	—
411	#877	—	2	1	no	—
412	#877	—	2	1	no	—
413	#877	—	2	1	no	—
414	#877	—	2	1	no	—
415	#877	—	2	1	no	—
416	#877	—	2	1	no	—
417	#877	—	2	1	no	—
418	#877	D₄	1	1	yes	characteristic
419	#877	D₄	1	1	yes	characteristic
420	#875	C₂³	1	1	yes	characteristic
421	C₄×D₁₂	—	2	1	no	—
422	C₄×D₁₂	—	2	1	no	—
423	C₄×D₁₂	C₂³	1	1	yes	characteristic
424	#872	—	2	1	no	—
425	#872	—	2	1	no	—
426	#872	—	2	1	no	—
427	#872	—	2	1	no	—
428	#872	—	2	1	no	—
429	#872	C₂³	1	1	yes	characteristic
430	#872	C₂³	1	1	yes	characteristic
431	C₄²×D₃	—	2	1	no	—
432	C₄²×D₃	C₂³	1	1	yes	characteristic
433	C₄²×D₃	C₂³	1	1	yes	characteristic
434	#869	C₂³	1	1	yes	characteristic
435	C₄×Dic₆	—	2	1	no	—
436	C₄×Dic₆	—	2	1	no	—
437	C₄×Dic₆	—	2	1	no	—
438	C₄×Dic₆	—	2	1	no	—
439	C₄×Dic₆	C₂³	1	1	yes	characteristic
440	C₄×Dic₆	C₂³	1	1	yes	characteristic
441	C₄×Dic₆	C₂³	1	1	yes	characteristic
442	C₄×Dic₆	C₂³	1	1	yes	characteristic
443	C₄×Dic₆	C₂³	1	1	yes	characteristic
444	C₃×#107	C₂³	1	1	yes	characteristic
445	C₃×#107	C₂³	1	1	yes	characteristic
446	C₃×#106	C₂³	1	1	yes	characteristic
447	C₃×#106	C₂³	1	1	yes	characteristic
448	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
449	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
450	C₃×#103	C₂³	1	1	yes	characteristic
451	C₃×#103	C₂³	1	1	yes	characteristic
452	C₃×#103	C₂³	1	1	yes	characteristic
453	C₃×#103	C₂³	1	1	yes	characteristic
454	C₃×#102	C₂³	1	1	yes	characteristic
455	C₃×#102	C₂³	1	1	yes	characteristic
456	C₃×#102	C₂³	1	1	yes	characteristic
457	C₃×#102	C₂³	1	1	yes	characteristic
458	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
459	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
460	C₃×#97	C₂³	1	1	yes	characteristic
461	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
462	#835	C₂³	1	1	yes	characteristic
463	#835	C₂³	1	1	yes	characteristic
464	#835	C₂³	1	1	yes	characteristic
465	#835	C₂³	1	1	yes	characteristic
466	#832	C₂³	1	1	yes	characteristic
467	#832	C₂³	1	1	yes	characteristic
468	#832	C₂³	1	1	yes	characteristic
469	#832	C₂³	1	1	yes	characteristic
470	#830	C₂³	1	1	yes	characteristic
471	#830	C₂³	1	1	yes	characteristic
472	#821	C₂³	1	1	yes	characteristic
473	#821	C₂³	1	1	yes	characteristic
474	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
475	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
476	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
477	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
478	#818	C₂³	1	1	yes	characteristic
479	#818	C₂³	1	1	yes	characteristic
480	#817	C₂³	1	1	yes	characteristic
481	#817	C₂³	1	1	yes	characteristic
482	#816	C₂³	1	1	yes	characteristic
483	#816	C₂³	1	1	yes	characteristic
484	#816	C₂³	1	1	yes	characteristic
485	#816	C₂³	1	1	yes	characteristic
486	#816	C₂³	1	1	yes	characteristic
487	#816	C₂³	1	1	yes	characteristic
488	#815	C₂³	1	1	yes	characteristic
489	#815	C₂³	1	1	yes	characteristic
490	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
491	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
492	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
493	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
494	C₈×Dic₃	C₂³	1	1	yes	characteristic
495	C₈×Dic₃	C₂³	1	1	yes	characteristic
496	#810	C₂³	1	1	yes	characteristic
497	#810	C₂³	1	1	yes	characteristic
498	#810	C₂³	1	1	yes	characteristic
499	#810	C₂³	1	1	yes	characteristic
500	#810	C₂³	1	1	yes	characteristic
501	#810	C₂³	1	1	yes	characteristic
502	#809	C₂³	1	1	yes	characteristic
503	#809	C₂³	1	1	yes	characteristic
504	#808	C₂³	1	1	yes	characteristic
505	#808	C₂³	1	1	yes	characteristic
506	#808	C₂³	1	1	yes	characteristic
507	#808	C₂³	1	1	yes	characteristic
508	#807	C₂³	1	1	yes	characteristic
509	#807	C₂³	1	1	yes	characteristic
510	#807	C₂³	1	1	yes	characteristic
511	#807	C₂³	1	1	yes	characteristic
512	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
513	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
514	#803	C₂³	1	1	yes	characteristic
515	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
516	C₂²×#41	—	3	1	no	—
517	C₂×#137	—	3	1	no	—
518	C₂×#137	—	3	1	no	—
519	C₂×#135	—	3	1	no	—
520	C₂×#135	—	3	1	no	—
521	#556	—	6	1	no	—
522	#554	—	6	1	no	—
523	#552	—	6	1	no	—
524	#552	—	6	1	no	—
525	#552	—	6	1	no	—
526	#552	—	6	1	no	—
527	#551	—	6	1	no	—
528	#551	—	6	1	no	—
529	#544	—	3	1	no	—
530	#542	—	3	1	no	—
531	#542	—	3	1	no	—
532	#541	—	3	1	no	—
533	#541	C₂×D₃	1	1	yes	characteristic
534	#536	—	3	1	no	—
535	#533	—	3	1	no	—
536	#533	—	3	1	no	—
537	#529	—	3	1	no	—
538	#529	—	3	1	no	—
539	#525	—	3	1	no	—
540	C₂×C₂²⋊Q₈	—	3	1	no	—
541	#520	—	3	1	no	—
542	#520	—	3	1	no	—
543	#520	—	3	1	no	—
544	#520	—	3	1	no	—
545	#520	—	3	1	no	—
546	#520	—	6	1	no	—
547	#520	—	6	1	no	—
548	#519	—	3	1	no	—
549	#519	—	3	1	no	—
550	#519	—	3	1	no	—
551	#518	—	3	1	no	—
552	#518	—	6	1	no	—
553	#518	—	6	1	no	—
554	#518	C₂×D₃	1	1	yes	characteristic
555	C₄×#41	—	3	1	no	—
556	C₄×#41	—	3	1	no	—
557	C₄×#41	—	3	1	no	—
558	C₄×#41	—	3	1	no	—
559	C₄×#41	—	6	1	no	—
560	C₄×#41	—	6	1	no	—
561	C₂×#117	—	3	1	no	—
562	C₂×#117	—	3	1	no	—
563	C₂×#117	—	6	1	no	—
564	C₂×#117	—	6	1	no	—
565	#485	—	3	1	no	—
566	#485	—	3	1	no	—
567	#485	—	3	1	no	—
568	#485	—	3	1	no	—
569	#485	—	3	1	no	—
570	#485	—	3	1	no	—
571	#485	—	3	1	no	—
572	#485	—	3	1	no	—
573	#485	—	3	1	no	—
574	#485	—	3	1	no	—
575	#485	C₂×D₃	1	1	yes	characteristic
576	#485	C₂×D₃	1	1	yes	characteristic
577	#482	—	3	1	no	—
578	#482	—	3	1	no	—
579	#482	—	3	1	no	—
580	#482	—	3	1	no	—
581	#479	—	3	1	no	—
582	#479	—	3	1	no	—
583	#479	—	3	1	no	—
584	#479	—	3	1	no	—
585	#478	—	3	1	no	—
586	#478	—	3	1	no	—
587	#478	C₂×D₃	1	1	yes	characteristic, complemented
588	#478	C₂×D₃	1	1	yes	characteristic, complemented
589	#477	—	3	1	no	—
590	#477	—	3	1	no	—
591	#476	—	3	1	no	—
592	#476	—	3	1	no	—
593	#475	—	3	1	no	—
594	#475	—	3	1	no	—
595	#474	—	3	1	no	—
596	#474	—	3	1	no	—
597	#464	—	3	1	no	—
598	#464	—	3	1	no	—
599	#464	—	3	1	no	—
600	#464	—	3	1	no	—
601	#463	—	3	1	no	—
602	#463	—	3	1	no	—
603	#463	—	3	1	no	—
604	#463	—	3	1	no	—
605	#462	—	3	1	no	—
606	#462	—	3	1	no	—
607	#462	—	3	1	no	—
608	#462	—	3	1	no	—
609	#461	—	3	1	no	—
610	#461	—	3	1	no	—
611	#461	C₂×D₃	1	1	yes	characteristic, complemented
612	#461	C₂×D₃	1	1	yes	characteristic, complemented
613	#452	—	3	1	no	—
614	#452	—	3	1	no	—
615	#452	—	3	1	no	—
616	#452	—	3	1	no	—
617	#452	—	3	1	no	—
618	#452	—	3	1	no	—
619	#451	—	3	1	no	—
620	#451	—	3	1	no	—
621	#451	—	3	1	no	—
622	#450	—	3	1	no	—
623	#450	C₂×D₃	1	1	yes	characteristic
624	#450	C₂×D₃	1	1	yes	characteristic
625	#449	—	3	1	no	—
626	#449	—	3	1	no	—
627	#448	—	3	1	no	—
628	#447	—	3	1	no	—
629	#442	—	3	1	no	—
630	#442	—	3	1	no	—
631	#441	—	3	1	no	—
632	#441	—	3	1	no	—
633	#441	—	3	1	no	—
634	#441	—	3	1	no	—
635	#441	—	3	1	no	—
636	#441	—	3	1	no	—
637	#440	—	3	1	no	—
638	#440	—	3	1	no	—
639	#440	—	3	1	no	—
640	#440	—	3	1	no	—
641	#440	—	3	1	no	—
642	#440	—	3	1	no	—
643	#440	C₂×D₃	1	1	yes	characteristic, complemented
644	#440	C₂×D₃	1	1	yes	characteristic, complemented
645	C₄×Q₁₆	—	3	1	no	—
646	C₄×Q₁₆	—	3	1	no	—
647	C₄×Q₁₆	—	3	1	no	—
648	C₄×Q₁₆	—	3	1	no	—
649	C₄×Q₁₆	—	3	1	no	—
650	C₄×Q₁₆	—	3	1	no	—
651	C₄×SD₁₆	—	3	1	no	—
652	C₄×SD₁₆	—	3	1	no	—
653	C₄×SD₁₆	—	3	1	no	—
654	C₄×SD₁₆	—	3	1	no	—
655	C₄×SD₁₆	—	3	1	no	—
656	C₄×SD₁₆	—	3	1	no	—
657	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic, complemented
658	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic, complemented
659	C₄×D₈	—	3	1	no	—
660	C₄×D₈	—	3	1	no	—
661	#433	—	3	1	no	—
662	#433	—	3	1	no	—
663	#433	—	3	1	no	—
664	#433	C₂×D₃	1	1	yes	characteristic
665	#432	—	3	1	no	—
666	#432	—	3	1	no	—
667	#431	—	3	1	no	—
668	#431	—	3	1	no	—
669	#428	—	3	1	no	—
670	#428	—	3	1	no	—
671	C₂×#107	—	3	1	no	—
672	C₂×#106	—	3	1	no	—
673	#424	—	3	1	no	—
674	#424	—	3	1	no	—
675	#417	—	3	1	no	—
676	#417	—	3	1	no	—
677	#417	—	3	1	no	—
678	#417	—	3	1	no	—
679	#416	—	3	1	no	—
680	#416	—	3	1	no	—
681	C₂×#103	—	3	1	no	—
682	C₂×#103	—	3	1	no	—
683	#407	—	3	1	no	—
684	C₂×C₂²⋊C₈	—	3	1	no	—
685	#405	—	3	1	no	—
686	#405	—	3	1	no	—
687	C₂⁴×C₃	—	2	1	no	—
688	C₂³×D₃	C₂×D₄	1	1	yes	characteristic
689	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
690	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
691	C₂×C₃×D₄	—	2	2	no	—
692	C₂×C₃×D₄	—	2	2	no	—
693	C₂×C₃×D₄	—	2	1	no	—
694	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
695	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
696	C₂²×C₃×C₄	—	2	1	no	—
697	C₂²×C₃×C₄	—	2	1	no	—
698	C₂²×C₃×C₄	—	2	1	no	—
699	C₂²×C₃×C₄	—	2	1	no	—
700	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
701	C₂×#67	—	2	8	no	—
702	C₂×#67	—	2	1	no	—
703	C₂×#67	—	2	1	no	—
704	C₂×#67	—	2	1	no	—
705	C₂×#67	—	2	1	no	—
706	C₂×#67	—	2	1	no	—
707	C₂²×Dic₃	—	2	8	no	—
708	C₂²×Dic₃	—	2	1	no	—
709	C₂²×Dic₃	—	2	1	no	—
710	C₂²×Dic₃	—	2	1	no	—
711	C₂²×Dic₃	—	2	1	no	—
712	C₂²×Dic₃	—	2	1	no	—
713	C₂²×Dic₃	—	2	1	no	—
714	C₂²×Dic₃	—	2	1	no	—
715	C₂²×Dic₃	—	2	1	no	—
716	C₂²×Dic₃	—	2	1	no	—
717	C₂²×Dic₃	C₂×D₄	1	1	yes	characteristic
718	#239	—	2	2	no	—
719	#239	—	2	2	no	—
720	D₃×Q₈	—	2	2	no	—
721	D₃×Q₈	—	2	2	no	—
722	#237	—	2	8	no	—
723	#237	—	2	8	no	—
724	#237	—	2	2	no	—
725	#237	—	2	2	no	—
726	#237	—	2	2	no	—
727	#237	—	2	2	no	—
728	#237	—	2	2	no	—
729	#237	—	2	2	no	—
730	#237	#41	1	4	yes	—
731	#237	#41	1	4	yes	—
732	C₂×D₁₂	—	2	1	no	—
733	C₂×D₁₂	—	2	1	no	—
734	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
735	C₂×C₄×D₃	—	2	2	no	—
736	C₂×C₄×D₃	—	2	2	no	—
737	C₂×C₄×D₃	—	2	1	no	—
738	C₂×C₄×D₃	—	2	1	no	—
739	C₂×C₄×D₃	—	2	1	no	—
740	C₂×C₄×D₃	—	2	1	no	—
741	C₂×C₄×D₃	—	2	1	no	—
742	C₂×C₄×D₃	—	2	1	no	—
743	C₂×C₄×D₃	—	2	1	no	—
744	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
745	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
746	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
747	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
748	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
749	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
750	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
751	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
752	C₂×Dic₆	—	2	1	no	—
753	C₂×Dic₆	—	2	2	no	—
754	C₂×Dic₆	—	2	2	no	—
755	C₂×Dic₆	—	2	1	no	—
756	C₂×Dic₆	—	2	1	no	—
757	C₂×Dic₆	—	2	1	no	—
758	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
759	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
760	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
761	C₃×SD₁₆	—	2	2	no	—
762	C₃×SD₁₆	—	2	2	no	—
763	C₃×SD₁₆	—	2	2	no	—
764	C₃×SD₁₆	—	2	2	no	—
765	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
766	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
767	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
768	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
769	C₃×C₄⋊C₄	—	2	1	no	—
770	C₃×C₄⋊C₄	—	2	1	no	—
771	C₃×C₄⋊C₄	—	2	1	no	—
772	C₃×C₄⋊C₄	—	2	1	no	—
773	C₃×C₄⋊C₄	—	2	1	no	—
774	C₃×C₄⋊C₄	—	2	1	no	—
775	C₃×C₄⋊C₄	—	2	1	no	—
776	C₃×C₄⋊C₄	—	2	1	no	—
777	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
778	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
779	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
780	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
781	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
782	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
783	C₃×C₂²⋊C₄	—	2	1	no	—
784	C₃×C₂²⋊C₄	—	2	1	no	—
785	C₃×C₂²⋊C₄	—	2	1	no	—
786	C₃×C₂²⋊C₄	—	2	1	no	—
787	C₃×C₂²⋊C₄	—	2	1	no	—
788	C₃×C₂²⋊C₄	—	2	1	no	—
789	C₃×C₂²⋊C₄	—	2	1	no	—
790	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
791	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
792	C₃×C₄²	—	2	1	no	—
793	C₃×C₄²	—	2	1	no	—
794	C₃×C₄²	—	2	1	no	—
795	C₃×C₄²	C₂⁴	1	1	yes	characteristic
796	C₃×C₄²	C₂⁴	1	1	yes	characteristic
797	#217	—	2	1	no	—
798	#217	—	2	1	no	—
799	#217	—	2	1	no	—
800	#217	—	2	1	no	—
801	#217	—	2	1	no	—
802	#217	—	2	1	no	—
803	#217	C₂×D₄	1	1	yes	characteristic
804	#217	C₂×D₄	1	1	yes	characteristic
805	#216	—	2	2	no	—
806	#216	—	2	2	no	—
807	#216	—	2	2	no	—
808	#216	—	2	2	no	—
809	#214	—	2	2	no	—
810	#214	—	2	2	no	—
811	#213	—	2	2	no	—
812	#213	—	2	2	no	—
813	(C₂×D₃)⋊C₄	—	2	1	no	—
814	(C₂×D₃)⋊C₄	—	2	1	no	—
815	(C₂×D₃)⋊C₄	—	2	1	no	—
816	(C₂×D₃)⋊C₄	—	2	1	no	—
817	(C₂×D₃)⋊C₄	—	2	1	no	—
818	(C₂×D₃)⋊C₄	—	2	1	no	—
819	(C₂×D₃)⋊C₄	—	2	1	no	—
820	(C₂×D₃)⋊C₄	—	2	1	no	—
821	(C₂×D₃)⋊C₄	—	2	1	no	—
822	(C₂×D₃)⋊C₄	—	2	1	no	—
823	(C₂×D₃)⋊C₄	—	2	1	no	—
824	(C₂×D₃)⋊C₄	—	2	1	no	—
825	(C₂×D₃)⋊C₄	—	2	1	no	—
826	(C₂×D₃)⋊C₄	—	2	1	no	—
827	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
828	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
829	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
830	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
831	C₄⋊Dic₃	—	2	1	no	—
832	C₄⋊Dic₃	—	2	1	no	—
833	C₄⋊Dic₃	—	2	1	no	—
834	C₄⋊Dic₃	—	2	1	no	—
835	C₄⋊Dic₃	—	2	1	no	—
836	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
837	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
838	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
839	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
840	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
841	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
842	Dic₃⋊C₄	—	2	1	no	—
843	Dic₃⋊C₄	—	2	1	no	—
844	Dic₃⋊C₄	—	2	1	no	—
845	Dic₃⋊C₄	—	2	1	no	—
846	Dic₃⋊C₄	—	2	1	no	—
847	Dic₃⋊C₄	—	2	1	no	—
848	Dic₃⋊C₄	—	2	1	no	—
849	Dic₃⋊C₄	—	2	1	no	—
850	Dic₃⋊C₄	—	2	1	no	—
851	Dic₃⋊C₄	—	2	1	no	—
852	Dic₃⋊C₄	—	2	1	no	—
853	Dic₃⋊C₄	—	2	1	no	—
854	Dic₃⋊C₄	—	2	1	no	—
855	Dic₃⋊C₄	—	2	1	no	—
856	Dic₃⋊C₄	—	2	1	no	—
857	Dic₃⋊C₄	—	2	1	no	—
858	Dic₃⋊C₄	—	2	1	no	—
859	Dic₃⋊C₄	—	2	1	no	—
860	Dic₃⋊C₄	—	2	1	no	—
861	Dic₃⋊C₄	—	2	1	no	—
862	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
863	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
864	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
865	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
866	C₄×Dic₃	—	2	1	no	—
867	C₄×Dic₃	—	2	1	no	—
868	C₄×Dic₃	—	2	1	no	—
869	C₄×Dic₃	—	2	1	no	—
870	C₄×Dic₃	—	2	1	no	—
871	C₄×Dic₃	—	2	1	no	—
872	C₄×Dic₃	—	2	1	no	—
873	C₄×Dic₃	—	2	1	no	—
874	C₄×Dic₃	—	2	1	no	—
875	C₄×Dic₃	—	2	1	no	—
876	C₄×Dic₃	—	2	1	no	—
877	C₄×Dic₃	—	2	1	no	—
878	C₄×Dic₃	—	2	1	no	—
879	C₄×Dic₃	—	2	1	no	—
880	C₄×Dic₃	—	2	1	no	—
881	C₄×Dic₃	—	2	1	no	—
882	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
883	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
884	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
885	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
886	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
887	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
888	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
889	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
890	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
891	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
892	Dic₁₂	—	2	2	no	—
893	Dic₁₂	—	2	2	no	—
894	#204	—	2	2	no	—
895	#204	—	2	2	no	—
896	ΓL(1,𝔽₂₅)	—	2	2	no	—
897	ΓL(1,𝔽₂₅)	—	2	2	no	—
898	D₃×C₈	—	2	2	no	—
899	D₃×C₈	—	2	2	no	—
900	C₂×#41	—	3	1	no	—
901	C₂×#41	—	3	1	no	—
902	C₂×#41	—	3	1	no	—
903	C₂×#41	—	3	1	no	—
904	C₂×#41	—	3	1	no	—
905	C₂×#41	—	6	1	no	—
906	C₂×#41	—	6	1	no	—
907	C₂×#41	—	6	4	no	—
908	C₂×#41	—	6	4	no	—
909	C₂²×Q₈	—	3	1	no	—
910	C₂²×Q₈	—	3	1	no	—
911	C₂²×D₄	—	6	1	no	—
912	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
913	C₂³×C₄	—	3	1	no	—
914	C₂³×C₄	—	6	1	no	—
915	#137	—	6	4	no	—
916	#137	—	6	4	no	—
917	#135	—	6	4	no	—
918	#135	—	6	4	no	—
919	C₂×Q₁₆	—	3	1	no	—
920	C₂×Q₁₆	—	3	1	no	—
921	C₂×Q₁₆	—	3	1	no	—
922	C₂×Q₁₆	—	3	1	no	—
923	C₂×Q₁₆	—	3	1	no	—
924	C₂×Q₁₆	—	3	1	no	—
925	C₂×SD₁₆	—	3	1	no	—
926	C₂×SD₁₆	—	3	1	no	—
927	C₂×SD₁₆	—	3	1	no	—
928	C₂×SD₁₆	—	3	1	no	—
929	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
930	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
931	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
932	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
933	C₂×D₈	—	3	1	no	—
934	C₂×D₈	—	3	1	no	—
935	C₂×M₁₆	—	3	1	no	—
936	C₂×M₁₆	—	3	1	no	—
937	C₂²×C₈	—	3	1	no	—
938	C₂²×C₈	—	3	1	no	—
939	C₄⋊Q₈	—	3	1	no	—
940	C₄⋊Q₈	—	3	1	no	—
941	C₄⋊Q₈	—	3	1	no	—
942	C₄⋊Q₈	—	6	1	no	—
943	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
944	#126	—	2	1	no	—
945	#126	—	2	1	no	—
946	#126	—	6	1	no	—
947	#126	—	6	1	no	—
948	#126	—	6	1	no	—
949	#126	—	6	1	no	—
950	#126	—	6	1	no	—
951	#126	—	6	1	no	—
952	#125	—	2	1	no	—
953	#125	—	2	1	no	—
954	#125	—	3	1	no	—
955	#125	—	6	1	no	—
956	#125	—	6	1	no	—
957	#125	—	6	1	no	—
958	#125	—	6	1	no	—
959	#125	—	6	1	no	—
960	#125	C₂²×D₃	1	1	yes	characteristic
961	#124	—	3	1	no	—
962	#124	—	3	1	no	—
963	#124	—	6	1	no	—
964	#124	—	6	1	no	—
965	#123	—	6	1	no	—
966	#123	—	6	1	no	—
967	#123	—	6	1	no	—
968	#123	—	6	1	no	—
969	#123	—	6	1	no	—
970	#123	—	6	1	no	—
971	#123	—	6	1	no	—
972	C₂²⋊Q₈	—	3	1	no	—
973	C₂²⋊Q₈	—	3	1	no	—
974	C₂²⋊Q₈	—	3	1	no	—
975	C₂²⋊Q₈	—	3	1	no	—
976	C₂²⋊Q₈	—	6	1	no	—
977	C₂²⋊Q₈	—	6	1	no	—
978	C₂²⋊Q₈	—	6	1	no	—
979	C₂²⋊Q₈	—	6	1	no	—
980	C₂²⋊Q₈	—	6	1	no	—
981	C₂²⋊Q₈	—	6	1	no	—
982	C₂²⋊Q₈	—	6	1	no	—
983	C₂²⋊Q₈	—	6	1	no	—
984	C₂²⋊Q₈	—	6	1	no	—
985	C₂²⋊Q₈	—	6	1	no	—
986	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
987	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
988	#121	—	3	1	no	—
989	#121	—	3	1	no	—
990	#120	—	6	1	no	—
991	C₄×Q₈	—	3	1	no	—
992	C₄×Q₈	—	3	1	no	—
993	C₄×Q₈	—	3	1	no	—
994	C₄×Q₈	—	3	1	no	—
995	C₄×Q₈	—	3	1	no	—
996	C₄×Q₈	—	3	1	no	—
997	C₄×Q₈	—	3	1	no	—
998	C₄×Q₈	—	3	1	no	—
999	C₄×Q₈	—	3	1	no	—
1000	C₄×Q₈	—	3	1	no	—
1001	C₄×Q₈	—	3	1	no	—
1002	C₄×Q₈	—	3	1	no	—
1003	C₄×Q₈	—	6	1	no	—
1004	C₄×Q₈	—	6	1	no	—
1005	C₄×Q₈	—	6	1	no	—
1006	C₄×Q₈	—	6	1	no	—
1007	C₄×Q₈	—	6	1	no	—
1008	C₄×Q₈	—	6	1	no	—
1009	C₄×Q₈	—	6	1	no	—
1010	C₄×Q₈	—	6	1	no	—
1011	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1012	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1013	C₄×D₄	—	2	1	no	—
1014	C₄×D₄	—	2	1	no	—
1015	C₄×D₄	—	3	1	no	—
1016	C₄×D₄	—	3	1	no	—
1017	C₄×D₄	—	3	1	no	—
1018	C₄×D₄	—	3	1	no	—
1019	C₄×D₄	—	3	1	no	—
1020	C₄×D₄	—	3	1	no	—
1021	C₄×D₄	—	6	1	no	—
1022	C₄×D₄	—	6	1	no	—
1023	C₄×D₄	—	6	1	no	—
1024	C₄×D₄	—	6	1	no	—
1025	C₄×D₄	—	6	1	no	—
1026	C₄×D₄	—	6	1	no	—
1027	C₄×D₄	—	6	1	no	—
1028	C₄×D₄	—	6	1	no	—
1029	C₄×D₄	—	6	1	no	—
1030	C₄×D₄	—	6	1	no	—
1031	C₄×D₄	—	6	1	no	—
1032	C₄×D₄	—	6	1	no	—
1033	C₄×D₄	—	6	1	no	—
1034	C₄×D₄	—	6	1	no	—
1035	C₄×D₄	—	6	1	no	—
1036	C₄×D₄	—	6	1	no	—
1037	C₄×D₄	—	6	1	no	—
1038	C₄×D₄	—	6	1	no	—
1039	C₄×D₄	—	6	1	no	—
1040	C₄×D₄	—	6	1	no	—
1041	C₄×D₄	—	6	1	no	—
1042	C₄×D₄	—	6	1	no	—
1043	C₄×D₄	—	6	1	no	—
1044	C₄×D₄	—	6	1	no	—
1045	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1046	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1047	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1048	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1049	#117	—	3	1	no	—
1050	#117	—	3	1	no	—
1051	#117	—	3	1	no	—
1052	#117	—	3	1	no	—
1053	#117	—	3	1	no	—
1054	#117	—	3	1	no	—
1055	#117	—	3	1	no	—
1056	#117	—	3	1	no	—
1057	#117	—	3	1	no	—
1058	#117	—	3	1	no	—
1059	#117	—	3	1	no	—
1060	#117	—	6	1	no	—
1061	#117	—	6	1	no	—
1062	#117	—	6	1	no	—
1063	#117	—	6	1	no	—
1064	#117	—	6	1	no	—
1065	#117	—	6	1	no	—
1066	#117	—	6	1	no	—
1067	#117	—	6	1	no	—
1068	#117	—	6	1	no	—
1069	#117	—	6	1	no	—
1070	#117	—	6	1	no	—
1071	#117	—	6	1	no	—
1072	#117	—	6	1	no	—
1073	#117	—	6	1	no	—
1074	#117	—	6	1	no	—
1075	#117	—	6	1	no	—
1076	#117	—	6	1	no	—
1077	#117	—	6	1	no	—
1078	#117	—	6	1	no	—
1079	#117	—	6	1	no	—
1080	#117	—	6	1	no	—
1081	#117	C₂²×D₃	1	1	yes	characteristic
1082	#117	C₂²×D₃	1	1	yes	characteristic
1083	C₂×C₄⋊C₄	—	3	1	no	—
1084	C₂×C₄⋊C₄	—	3	1	no	—
1085	C₂×C₄⋊C₄	—	3	1	no	—
1086	C₂×C₄⋊C₄	—	3	1	no	—
1087	C₂×C₄⋊C₄	—	3	1	no	—
1088	C₂×C₄⋊C₄	—	6	1	no	—
1089	C₂×C₄⋊C₄	—	6	1	no	—
1090	C₂×C₄⋊C₄	—	6	1	no	—
1091	C₂×C₄⋊C₄	—	6	1	no	—
1092	C₂×C₄⋊C₄	—	6	1	no	—
1093	C₂×C₄⋊C₄	—	6	1	no	—
1094	C₂×C₂²⋊C₄	—	2	1	no	—
1095	C₂×C₂²⋊C₄	—	2	1	no	—
1096	C₂×C₂²⋊C₄	—	3	1	no	—
1097	C₂×C₂²⋊C₄	—	3	1	no	—
1098	C₂×C₂²⋊C₄	—	6	1	no	—
1099	C₂×C₂²⋊C₄	—	6	1	no	—
1100	C₂×C₂²⋊C₄	—	6	1	no	—
1101	C₂×C₂²⋊C₄	—	6	1	no	—
1102	C₂×C₄²	—	3	1	no	—
1103	C₂×C₄²	—	3	1	no	—
1104	C₂×C₄²	—	6	1	no	—
1105	C₂×C₄²	—	6	1	no	—
1106	C₂×C₄²	—	6	1	no	—
1107	C₂×C₄²	—	6	1	no	—
1108	C₂×C₄²	—	6	1	no	—
1109	#107	—	3	1	no	—
1110	#107	—	3	1	no	—
1111	#107	—	3	1	no	—
1112	#107	—	3	1	no	—
1113	#107	—	3	1	no	—
1114	#107	—	3	1	no	—
1115	#107	C₂²×D₃	1	1	yes	characteristic
1116	#107	C₂²×D₃	1	1	yes	characteristic
1117	#106	—	3	1	no	—
1118	#106	—	3	1	no	—
1119	#106	—	3	1	no	—
1120	#106	—	3	1	no	—
1121	#106	—	3	1	no	—
1122	#106	—	3	1	no	—
1123	#106	C₂²×D₃	1	1	yes	characteristic
1124	#106	C₂²×D₃	1	1	yes	characteristic
1125	C₄⋊C₈	—	3	1	no	—
1126	C₄⋊C₈	—	3	1	no	—
1127	C₄⋊C₈	—	3	1	no	—
1128	C₄⋊C₈	—	3	1	no	—
1129	C₄⋊C₈	—	3	1	no	—
1130	C₄⋊C₈	—	3	1	no	—
1131	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1132	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1133	#103	—	3	1	no	—
1134	#103	—	3	1	no	—
1135	#103	—	3	1	no	—
1136	#103	—	3	1	no	—
1137	#103	—	3	1	no	—
1138	#103	—	3	1	no	—
1139	#103	—	3	1	no	—
1140	#103	—	3	1	no	—
1141	#103	—	3	1	no	—
1142	#103	—	3	1	no	—
1143	#103	—	3	1	no	—
1144	#103	—	3	1	no	—
1145	#103	—	3	1	no	—
1146	#103	—	3	1	no	—
1147	#103	—	3	1	no	—
1148	#103	—	3	1	no	—
1149	#103	C₂²×D₃	1	1	yes	characteristic
1150	#103	C₂²×D₃	1	1	yes	characteristic
1151	#103	C₂²×D₃	1	1	yes	characteristic
1152	#103	C₂²×D₃	1	1	yes	characteristic
1153	#102	—	3	1	no	—
1154	#102	—	3	1	no	—
1155	#102	—	3	1	no	—
1156	#102	—	3	1	no	—
1157	#102	—	3	1	no	—
1158	#102	—	3	1	no	—
1159	#102	—	3	1	no	—
1160	#102	—	3	1	no	—
1161	#102	C₂²×D₃	1	1	yes	characteristic
1162	#102	C₂²×D₃	1	1	yes	characteristic
1163	#102	C₂²×D₃	1	1	yes	characteristic
1164	#102	C₂²×D₃	1	1	yes	characteristic
1165	C₂²⋊C₈	—	3	1	no	—
1166	C₂²⋊C₈	—	3	1	no	—
1167	C₂²⋊C₈	—	3	1	no	—
1168	C₂²⋊C₈	—	3	1	no	—
1169	C₂²⋊C₈	—	3	1	no	—
1170	C₂²⋊C₈	—	3	1	no	—
1171	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1172	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1173	#97	—	3	1	no	—
1174	#97	—	3	1	no	—
1175	#97	—	3	1	no	—
1176	#97	C₂²×D₃	1	1	yes	characteristic
1177	C₄×C₈	—	3	1	no	—
1178	C₄×C₈	—	3	1	no	—
1179	C₄×C₈	—	3	1	no	—
1180	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1181	C₂³×C₃	—	2	4	no	—
1182	C₂³×C₃	—	2	1	no	—
1183	C₂³×C₃	—	2	1	no	—
1184	C₂³×C₃	—	8	1	no	—
1185	C₂³×C₃	—	8	1	no	—
1186	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1187	C₂²×D₃	—	2	2	no	—
1188	C₂²×D₃	—	2	1	no	—
1189	C₂²×D₃	—	4	1	no	—
1190	C₂²×D₃	—	4	1	no	—
1191	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1192	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1193	C₃×Q₈	—	2	1	no	—
1194	C₃×Q₈	—	2	1	no	—
1195	C₃×Q₈	—	2	1	no	—
1196	C₃×Q₈	—	2	1	no	—
1197	C₃×D₄	—	2	4	no	—
1198	C₃×D₄	—	2	1	no	—
1199	C₃×D₄	—	2	1	no	—
1200	C₃×D₄	C₂×#41	1	2	yes	—
1201	C₃×D₄	C₂×#41	1	2	yes	—
1202	C₂×C₃×C₄	—	2	1	no	—
1203	C₂×C₃×C₄	—	2	1	no	—
1204	C₂×C₃×C₄	—	2	1	no	—
1205	C₂×C₃×C₄	—	2	1	no	—
1206	C₂×C₃×C₄	—	2	1	no	—
1207	C₂×C₃×C₄	—	2	1	no	—
1208	C₂×C₃×C₄	—	2	1	no	—
1209	C₂×C₃×C₄	—	2	1	no	—
1210	C₂×C₃×C₄	—	8	1	no	—
1211	C₂×C₃×C₄	—	8	1	no	—
1212	C₂×C₃×C₄	—	8	1	no	—
1213	C₂×C₃×C₄	—	8	1	no	—
1214	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1215	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1216	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1217	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1218	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1219	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1220	#67	—	2	4	no	—
1221	#67	—	2	4	no	—
1222	#67	—	2	4	no	—
1223	#67	—	2	4	no	—
1224	#67	—	8	1	no	—
1225	C₂×Dic₃	—	2	4	no	—
1226	C₂×Dic₃	—	2	4	no	—
1227	C₂×Dic₃	—	2	4	no	—
1228	C₂×Dic₃	—	2	1	no	—
1229	C₂×Dic₃	—	2	1	no	—
1230	C₂×Dic₃	—	2	2	no	—
1231	C₂×Dic₃	—	2	4	no	—
1232	C₂×Dic₃	—	2	4	no	—
1233	C₂×Dic₃	—	2	1	no	—
1234	C₂×Dic₃	—	2	1	no	—
1235	C₂×Dic₃	—	2	1	no	—
1236	C₂×Dic₃	—	2	1	no	—
1237	C₂×Dic₃	—	2	1	no	—
1238	C₂×Dic₃	—	8	1	no	—
1239	C₂×Dic₃	—	8	1	no	—
1240	C₂×Dic₃	—	8	1	no	—
1241	C₂×Dic₃	—	8	1	no	—
1242	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1243	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1244	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1245	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1246	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1247	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1248	D₁₂	—	2	1	no	—
1249	D₁₂	—	2	1	no	—
1250	D₁₂	—	4	2	no	—
1251	D₁₂	—	4	2	no	—
1252	C₄×D₃	—	2	2	no	—
1253	C₄×D₃	—	2	1	no	—
1254	C₄×D₃	—	2	1	no	—
1255	C₄×D₃	—	2	2	no	—
1256	C₄×D₃	—	4	1	no	—
1257	C₄×D₃	—	4	1	no	—
1258	C₄×D₃	—	4	1	no	—
1259	C₄×D₃	—	4	1	no	—
1260	C₄×D₃	—	4	2	no	—
1261	C₄×D₃	—	4	2	no	—
1262	C₄×D₃	—	8	1	no	—
1263	C₄×D₃	—	8	1	no	—
1264	C₄×D₃	—	8	1	no	—
1265	C₄×D₃	—	8	1	no	—
1266	C₄×D₃	—	8	1	no	—
1267	C₄×D₃	C₂×#41	1	2	yes	—
1268	C₄×D₃	C₂×#41	1	2	yes	—
1269	Dic₆	—	2	4	no	—
1270	Dic₆	—	2	1	no	—
1271	Dic₆	—	2	1	no	—
1272	Dic₆	—	2	1	no	—
1273	Dic₆	—	2	1	no	—
1274	Dic₆	—	4	2	no	—
1275	Dic₆	—	8	1	no	—
1276	Dic₆	—	8	1	no	—
1277	Dic₆	C₂×#41	1	2	yes	—
1278	Dic₆	C₂×#41	1	2	yes	—
1279	C₃×C₈	—	2	1	no	—
1280	C₃×C₈	—	2	1	no	—
1281	C₃×C₈	—	2	1	no	—
1282	C₃×C₈	—	2	1	no	—
1283	C₃⋊C₈	—	2	1	no	—
1284	C₃⋊C₈	—	2	1	no	—
1285	C₃⋊C₈	—	2	1	no	—
1286	C₃⋊C₈	—	2	1	no	—
1287	C₂⁴	—	2	1	no	—
1288	C₂⁴	—	3	1	no	—
1289	#41	—	3	4	no	—
1290	#41	—	3	4	no	—
1291	#41	—	6	2	no	—
1292	#41	—	6	2	no	—
1293	#41	—	6	2	no	—
1294	#41	—	6	2	no	—
1295	#41	—	6	2	no	—
1296	#41	—	6	2	no	—
1297	#41	—	6	8	no	—
1298	#41	—	6	8	no	—
1299	#41	—	6	2	no	—
1300	#41	—	6	2	no	—
1301	C₂×Q₈	—	3	1	no	—
1302	C₂×Q₈	—	3	1	no	—
1303	C₂×Q₈	—	3	1	no	—
1304	C₂×Q₈	—	6	1	no	—
1305	C₂×Q₈	—	6	1	no	—
1306	C₂×Q₈	—	6	2	no	—
1307	C₂×Q₈	—	6	2	no	—
1308	C₂×Q₈	—	6	2	no	—
1309	C₂×Q₈	—	6	2	no	—
1310	C₂×Q₈	—	6	1	no	—
1311	C₂×Q₈	—	6	1	no	—
1312	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1313	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1314	C₂×D₄	—	2	2	no	—
1315	C₂×D₄	—	2	2	no	—
1316	C₂×D₄	—	2	1	no	—
1317	C₂×D₄	—	3	1	no	—
1318	C₂×D₄	—	6	1	no	—
1319	C₂×D₄	—	6	1	no	—
1320	C₂×D₄	—	6	1	no	—
1321	C₂×D₄	—	6	1	no	—
1322	C₂×D₄	—	6	1	no	—
1323	C₂×D₄	—	6	1	no	—
1324	C₂×D₄	—	6	8	no	—
1325	C₂×D₄	—	6	1	no	—
1326	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1327	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	3	1	no	—
1333	C₂²×C₄	—	3	1	no	—
1334	C₂²×C₄	—	3	1	no	—
1335	C₂²×C₄	—	3	1	no	—
1336	C₂²×C₄	—	3	1	no	—
1337	C₂²×C₄	—	3	1	no	—
1338	C₂²×C₄	—	3	1	no	—
1339	C₂²×C₄	—	3	1	no	—
1340	C₂²×C₄	—	3	1	no	—
1341	C₂²×C₄	—	6	2	no	—
1342	C₂²×C₄	—	6	2	no	—
1343	C₂²×C₄	—	6	1	no	—
1344	C₂²×C₄	—	6	1	no	—
1345	C₂²×C₄	—	6	1	no	—
1346	C₂²×C₄	—	6	1	no	—
1347	C₂²×C₄	—	6	1	no	—
1348	C₂²×C₄	—	6	1	no	—
1349	C₂²×C₄	—	6	1	no	—
1350	C₂²×C₄	—	6	1	no	—
1351	C₂²×C₄	—	6	1	no	—
1352	C₂²×C₄	—	6	1	no	—
1353	C₂²×C₄	—	6	1	no	—
1354	C₂²×C₄	—	6	1	no	—
1355	C₂²×C₄	—	6	1	no	—
1356	C₂²×C₄	—	6	1	no	—
1357	C₂²×C₄	—	6	8	no	—
1358	C₂²×C₄	—	6	1	no	—
1359	C₂²×C₄	—	6	1	no	—
1360	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1361	Q₁₆	—	6	2	no	—
1362	Q₁₆	—	6	2	no	—
1363	Q₁₆	—	6	2	no	—
1364	Q₁₆	—	6	2	no	—
1365	Q₁₆	—	6	2	no	—
1366	Q₁₆	—	6	2	no	—
1367	SD₁₆	—	2	2	no	—
1368	SD₁₆	—	2	2	no	—
1369	SD₁₆	—	2	2	no	—
1370	SD₁₆	—	2	2	no	—
1371	SD₁₆	—	6	2	no	—
1372	SD₁₆	—	6	2	no	—
1373	SD₁₆	—	6	2	no	—
1374	SD₁₆	—	6	2	no	—
1375	D₈	—	6	2	no	—
1376	D₈	—	6	2	no	—
1377	M₁₆	—	6	2	no	—
1378	M₁₆	—	6	2	no	—
1379	C₂×C₈	—	3	1	no	—
1380	C₂×C₈	—	3	1	no	—
1381	C₂×C₈	—	3	1	no	—
1382	C₂×C₈	—	3	1	no	—
1383	C₂×C₈	—	6	2	no	—
1384	C₂×C₈	—	6	2	no	—
1385	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1386	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1387	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1388	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	3	1	no	—
1398	C₄⋊C₄	—	3	1	no	—
1399	C₄⋊C₄	—	3	1	no	—
1400	C₄⋊C₄	—	3	1	no	—
1401	C₄⋊C₄	—	3	1	no	—
1402	C₄⋊C₄	—	3	1	no	—
1403	C₄⋊C₄	—	3	1	no	—
1404	C₄⋊C₄	—	3	1	no	—
1405	C₄⋊C₄	—	3	1	no	—
1406	C₄⋊C₄	—	3	1	no	—
1407	C₄⋊C₄	—	6	1	no	—
1408	C₄⋊C₄	—	6	1	no	—
1409	C₄⋊C₄	—	6	1	no	—
1410	C₄⋊C₄	—	6	1	no	—
1411	C₄⋊C₄	—	6	1	no	—
1412	C₄⋊C₄	—	6	1	no	—
1413	C₄⋊C₄	—	6	1	no	—
1414	C₄⋊C₄	—	6	1	no	—
1415	C₄⋊C₄	—	6	1	no	—
1416	C₄⋊C₄	—	6	1	no	—
1417	C₄⋊C₄	—	6	1	no	—
1418	C₄⋊C₄	—	6	1	no	—
1419	C₄⋊C₄	—	6	1	no	—
1420	C₄⋊C₄	—	6	1	no	—
1421	C₄⋊C₄	—	6	1	no	—
1422	C₄⋊C₄	—	6	1	no	—
1423	C₄⋊C₄	—	6	1	no	—
1424	C₄⋊C₄	—	6	1	no	—
1425	C₄⋊C₄	—	6	1	no	—
1426	C₄⋊C₄	—	6	1	no	—
1427	C₄⋊C₄	—	6	1	no	—
1428	C₄⋊C₄	—	6	1	no	—
1429	C₄⋊C₄	—	6	1	no	—
1430	C₄⋊C₄	—	6	1	no	—
1431	C₄⋊C₄	—	6	1	no	—
1432	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1433	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1434	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1435	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1436	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	3	1	no	—
1446	C₂²⋊C₄	—	3	1	no	—
1447	C₂²⋊C₄	—	3	1	no	—
1448	C₂²⋊C₄	—	3	1	no	—
1449	C₂²⋊C₄	—	3	1	no	—
1450	C₂²⋊C₄	—	3	1	no	—
1451	C₂²⋊C₄	—	6	1	no	—
1452	C₂²⋊C₄	—	6	1	no	—
1453	C₂²⋊C₄	—	6	1	no	—
1454	C₂²⋊C₄	—	6	1	no	—
1455	C₂²⋊C₄	—	6	1	no	—
1456	C₂²⋊C₄	—	6	1	no	—
1457	C₂²⋊C₄	—	6	1	no	—
1458	C₂²⋊C₄	—	6	1	no	—
1459	C₂²⋊C₄	—	6	1	no	—
1460	C₂²⋊C₄	—	6	1	no	—
1461	C₂²⋊C₄	—	6	1	no	—
1462	C₂²⋊C₄	—	6	1	no	—
1463	C₂²⋊C₄	—	6	1	no	—
1464	C₂²⋊C₄	—	6	1	no	—
1465	C₂²⋊C₄	—	6	1	no	—
1466	C₂²⋊C₄	—	6	1	no	—
1467	C₂²⋊C₄	—	6	1	no	—
1468	C₂²⋊C₄	—	6	1	no	—
1469	C₂²⋊C₄	—	6	1	no	—
1470	C₂²⋊C₄	—	6	1	no	—
1471	C₂²⋊C₄	D₃×D₄	1	1	yes	characteristic
1472	C₂²⋊C₄	D₃×D₄	1	1	yes	characteristic
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	3	1	no	—
1477	C₄²	—	3	1	no	—
1478	C₄²	—	3	1	no	—
1479	C₄²	—	3	1	no	—
1480	C₄²	—	3	1	no	—
1481	C₄²	—	3	1	no	—
1482	C₄²	—	6	1	no	—
1483	C₄²	—	6	1	no	—
1484	C₄²	—	6	1	no	—
1485	C₄²	—	6	1	no	—
1486	C₄²	—	6	1	no	—
1487	C₄²	—	6	1	no	—
1488	C₄²	—	6	1	no	—
1489	C₄²	—	6	1	no	—
1490	C₄²	—	6	1	no	—
1491	C₄²	—	6	1	no	—
1492	C₄²	—	6	1	no	—
1493	C₄²	—	6	1	no	—
1494	C₄²	—	6	1	no	—
1495	C₄²	—	6	1	no	—
1496	C₄²	—	6	1	no	—
1497	C₄²	—	6	1	no	—
1498	C₄²	C₂³×D₃	1	1	yes	characteristic
1499	C₄²	C₂³×D₃	1	1	yes	characteristic
1500	C₂²×C₃	—	2	1	no	—
1501	C₂²×C₃	—	2	1	no	—
1502	C₂²×C₃	—	2	1	no	—
1503	C₂²×C₃	—	2	2	no	—
1504	C₂²×C₃	—	2	2	no	—
1505	C₂²×C₃	—	4	1	no	—
1506	C₂²×C₃	—	4	1	no	—
1507	C₂²×C₃	—	4	1	no	—
1508	C₂²×C₃	—	4	1	no	—
1509	C₂²×C₃	—	8	4	no	—
1510	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1511	C₂×D₃	—	2	1	no	—
1512	C₂×D₃	—	2	1	no	—
1513	C₂×D₃	—	2	1	no	—
1514	C₂×D₃	—	2	1	no	—
1515	C₂×D₃	—	2	1	no	—
1516	C₂×D₃	—	4	1	no	—
1517	C₂×D₃	—	4	1	no	—
1518	C₂×D₃	—	4	1	no	—
1519	C₂×D₃	—	8	2	no	—
1520	C₂×D₃	#525	1	2	yes	—
1521	C₃×C₄	—	2	1	no	—
1522	C₃×C₄	—	2	1	no	—
1523	C₃×C₄	—	2	1	no	—
1524	C₃×C₄	—	2	1	no	—
1525	C₃×C₄	—	2	1	no	—
1526	C₃×C₄	—	4	1	no	—
1527	C₃×C₄	—	4	1	no	—
1528	C₃×C₄	—	4	1	no	—
1529	C₃×C₄	—	4	1	no	—
1530	C₃×C₄	—	4	1	no	—
1531	C₃×C₄	—	4	1	no	—
1532	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1533	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1534	Dic₃	—	2	1	no	—
1535	Dic₃	—	2	1	no	—
1536	Dic₃	—	2	1	no	—
1537	Dic₃	—	2	1	no	—
1538	Dic₃	—	2	2	no	—
1539	Dic₃	—	2	2	no	—
1540	Dic₃	—	2	1	no	—
1541	Dic₃	—	4	1	no	—
1542	Dic₃	—	4	1	no	—
1543	Dic₃	—	4	1	no	—
1544	Dic₃	—	4	1	no	—
1545	Dic₃	—	4	1	no	—
1546	Dic₃	#525	1	2	yes	—
1547	C₂³	—	2	4	no	—
1548	C₂³	—	2	1	no	—
1549	C₂³	—	2	1	no	—
1550	C₂³	—	3	1	no	—
1551	C₂³	—	3	1	no	—
1552	C₂³	—	6	2	no	—
1553	C₂³	—	6	1	no	—
1554	C₂³	—	8	1	no	—
1555	C₂³	—	8	1	no	—
1556	C₂³	—	12	1	no	—
1557	C₂³	—	12	1	no	—
1558	C₂³	C₂×D₃×D₄	1	1	yes	characteristic
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	3	2	no	—
1564	Q₈	—	3	2	no	—
1565	Q₈	—	6	4	no	—
1566	Q₈	—	6	1	no	—
1567	Q₈	—	6	1	no	—
1568	Q₈	—	6	1	no	—
1569	Q₈	—	6	1	no	—
1570	Q₈	—	12	2	no	—
1571	Q₈	—	24	1	no	—
1572	Q₈	—	24	1	no	—
1573	D₄	—	2	4	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	6	4	no	—
1577	D₄	—	6	4	no	—
1578	D₄	—	6	4	no	—
1579	D₄	—	6	4	no	—
1580	D₄	—	6	1	no	—
1581	D₄	—	6	1	no	—
1582	D₄	—	12	2	no	—
1583	D₄	—	12	2	no	—
1584	D₄	—	24	1	no	—
1585	D₄	D₃×#41	1	2	yes	—
1586	D₄	D₃×#41	1	2	yes	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	3	1	no	—
1596	C₂×C₄	—	3	2	no	—
1597	C₂×C₄	—	3	2	no	—
1598	C₂×C₄	—	3	1	no	—
1599	C₂×C₄	—	3	1	no	—
1600	C₂×C₄	—	3	1	no	—
1601	C₂×C₄	—	3	1	no	—
1602	C₂×C₄	—	3	1	no	—
1603	C₂×C₄	—	6	2	no	—
1604	C₂×C₄	—	6	2	no	—
1605	C₂×C₄	—	6	2	no	—
1606	C₂×C₄	—	6	4	no	—
1607	C₂×C₄	—	6	4	no	—
1608	C₂×C₄	—	6	4	no	—
1609	C₂×C₄	—	6	4	no	—
1610	C₂×C₄	—	6	4	no	—
1611	C₂×C₄	—	6	1	no	—
1612	C₂×C₄	—	6	1	no	—
1613	C₂×C₄	—	6	1	no	—
1614	C₂×C₄	—	6	1	no	—
1615	C₂×C₄	—	6	1	no	—
1616	C₂×C₄	—	6	1	no	—
1617	C₂×C₄	—	6	1	no	—
1618	C₂×C₄	—	6	1	no	—
1619	C₂×C₄	—	6	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	12	1	no	—
1625	C₂×C₄	—	12	1	no	—
1626	C₂×C₄	—	12	1	no	—
1627	C₂×C₄	—	12	1	no	—
1628	C₂×C₄	—	12	2	no	—
1629	C₂×C₄	—	12	2	no	—
1630	C₂×C₄	—	24	1	no	—
1631	C₂×C₄	—	24	1	no	—
1632	C₂×C₄	—	24	1	no	—
1633	C₂×C₄	—	24	1	no	—
1634	C₂×C₄	—	24	1	no	—
1635	C₂×C₄	—	24	1	no	—
1636	C₂×C₄	—	24	1	no	—
1637	C₂×C₄	—	24	1	no	—
1638	C₂×C₄	—	24	1	no	—
1639	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1640	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1641	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1642	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1643	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1644	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	6	1	no	—
1650	C₈	—	6	1	no	—
1651	C₈	—	6	1	no	—
1652	C₈	—	6	1	no	—
1653	C₂×C₃	—	4	1	no	—
1654	C₂×C₃	—	4	2	no	—
1655	C₂×C₃	—	4	2	no	—
1656	C₂×C₃	C₂×#525	1	1	yes	characteristic
1657	C₂×C₃	#3584	1	1	yes	characteristic
1658	C₂×C₃	#3586	1	1	yes	characteristic
1659	D₃	—	2	2	no	—
1660	D₃	—	4	1	no	—
1661	D₃	—	8	1	no	—
1662	C₂²	—	2	1	no	—
1663	C₂²	—	2	2	no	—
1664	C₂²	—	2	2	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	3	2	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	6	1	no	—
1673	C₂²	—	6	1	no	—
1674	C₂²	—	6	1	no	—
1675	C₂²	—	6	1	no	—
1676	C₂²	—	6	1	no	—
1677	C₂²	—	8	4	no	—
1678	C₂²	—	12	1	no	—
1679	C₂²	—	12	1	no	—
1680	C₂²	—	12	1	no	—
1681	C₂²	—	24	2	no	—
1682	C₂²	C₂²×D₃×D₄	1	1	yes	characteristic
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	3	2	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	6	1	no	—
1696	C₄	—	6	2	no	—
1697	C₄	—	6	2	no	—
1698	C₄	—	6	1	no	—
1699	C₄	—	6	1	no	—
1700	C₄	—	6	1	no	—
1701	C₄	—	6	1	no	—
1702	C₄	—	12	1	no	—
1703	C₄	—	12	1	no	—
1704	C₄	—	12	1	no	—
1705	C₄	—	12	1	no	—
1706	C₄	—	12	1	no	—
1707	C₄	C₂×D₃×#41	1	1	yes	characteristic
1708	C₄	C₂×D₃×#41	1	1	yes	characteristic
1709	C₃	#60586	1	1	yes	characteristic, complemented, Sylow
1710	C₂	—	4	1	no	—
1711	C₂	—	4	2	no	—
1712	C₂	—	4	2	no	—
1713	C₂	—	6	2	no	—
1714	C₂	—	12	1	no	—
1715	C₂	—	24	1	no	—
1716	C₂	D₃×#525	1	1	yes	characteristic
1717	C₂	#87206	1	1	yes	characteristic
1718	C₂	#87208	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₃×D₄
commutator, cosocle	C₂×C₃×C₄	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₃
Fitting	C₃×#3123	C₂
socle	C₂²×C₃	C₂³×D₄
prime radical	#80145	C₂
hypercenter	#3123	D₃
hypocenter	C₃	#60586
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3123

Complements

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

N	H ≅ G/N	type
1. #86509	C₂	semidirect
2. #85856	C₂	semidirect
3. C₃×#3123	C₂	semidirect
4. #83451	C₂	semidirect
5. #82541	C₂	semidirect
6. #81516	C₂	semidirect
7. D₃×#485	C₂	semidirect
8. #81499	C₂	semidirect
9. #81497	C₂	semidirect
10. #81171	C₂	semidirect
11. #81170	C₂	semidirect
12. #81142	C₂	semidirect
13. #81140	C₂	semidirect
14. #80431	C₂	semidirect
15. #80431	C₂	semidirect
16. #80411	C₂	semidirect
17. #80409	C₂	semidirect
18. #80147	C₂	semidirect
20. #80137	C₂	semidirect
21. #80136	C₂	semidirect
22. #79783	C₂	semidirect
23. #79780	C₂	semidirect
24. #79778	C₂	semidirect
25. #79776	C₂	semidirect
26. #79655	C₂	semidirect
27. #79652	C₂	semidirect
28. #79650	C₂	semidirect
29. #79648	C₂	semidirect
30. #79394	C₂	semidirect
31. #79374	C₂	semidirect
41. #5728	C₂²	semidirect
42. #5724	C₂²	semidirect
50. #5691	C₂²	semidirect
52. #5689	C₂²	semidirect
57. #5580	C₂²	semidirect
58. #5578	C₂²	semidirect
59. #5574	C₂²	semidirect
60. #5572	C₂²	semidirect
84. C₃×#478	C₂²	semidirect
85. C₃×#478	C₂²	semidirect
86. C₃×#461	C₂²	semidirect
87. C₃×#461	C₂²	semidirect
90. C₃×#440	C₂²	semidirect
91. C₃×#440	C₂²	semidirect
92. C₃×C₄×SD₁₆	C₂²	semidirect
93. C₃×C₄×SD₁₆	C₂²	semidirect
101. #5165	C₂²	semidirect
102. #5165	C₂²	semidirect
103. #5164	C₂²	semidirect
104. #5164	C₂²	semidirect
105. #5162	C₂²	semidirect
106. #5162	C₂²	semidirect
107. Dic₃×SD₁₆	C₂²	semidirect
108. Dic₃×SD₁₆	C₂²	semidirect
109. #5090	C₂²	semidirect
110. #5090	C₂²	semidirect
111. #5063	C₂²	semidirect
112. #5063	C₂²	semidirect
117. #5030	C₂²	semidirect
118. #5030	C₂²	semidirect
119. C₄×#216	C₂²	semidirect
120. C₄×#216	C₂²	semidirect
121. #5018	C₂²	semidirect
122. C₄×#214	C₂²	semidirect
123. #5016	C₂²	semidirect
124. #5016	C₂²	semidirect
125. #5014	C₂²	semidirect
126. C₄×#213	C₂²	semidirect
127. #5008	C₂²	semidirect
128. #5007	C₂²	semidirect
132. #4889	C₂²	semidirect
133. #4888	C₂²	semidirect
134. #4885	C₂²	semidirect
135. #4881	C₂²	semidirect
136. D₃×#107	C₂²	semidirect
137. #4877	C₂²	semidirect
138. #4875	C₂²	semidirect
139. #4873	C₂²	semidirect
140. #4868	C₂²	semidirect
141. #4866	C₂²	semidirect
142. #4861	C₂²	semidirect
143. D₃×#106	C₂²	semidirect
144. #4857	C₂²	semidirect
145. #4854	C₂²	semidirect
146. #4853	C₂²	semidirect
147. #4852	C₂²	semidirect
148. #4851	C₂²	semidirect
149. #4850	C₂²	semidirect
150. #4845	C₂²	semidirect
151. #4845	C₂²	semidirect
152. #4839	C₂²	semidirect
153. #4839	C₂²	semidirect
154. #4835	C₂²	semidirect
155. #4833	C₂²	semidirect
156. #4815	C₂²	semidirect
157. #4815	C₂²	semidirect
158. #4814	C₂²	semidirect
159. #4814	C₂²	semidirect
160. #4803	C₂²	semidirect
161. #4803	C₂²	semidirect
162. D₃×#103	C₂²	semidirect
163. D₃×#103	C₂²	semidirect
164. #4798	C₂²	semidirect
165. #4798	C₂²	semidirect
166. #4795	C₂²	semidirect
167. #4795	C₂²	semidirect
168. #4790	C₂²	semidirect
169. #4790	C₂²	semidirect
170. #4789	C₂²	semidirect
171. #4789	C₂²	semidirect
172. #4785	C₂²	semidirect
181. #4766	C₂²	semidirect
182. #4763	C₂²	semidirect
183. #4761	C₂²	semidirect
184. #4759	C₂²	semidirect
185. #4758	C₂²	semidirect
186. #4757	C₂²	semidirect
187. #4756	C₂²	semidirect
196. #4716	C₂²	semidirect
197. #4710	C₂²	semidirect
198. #4708	C₂²	semidirect
199. #4705	C₂²	semidirect
200. C₄×Dic₁₂	C₂²	semidirect
201. C₄×#204	C₂²	semidirect
202. #4689	C₂²	semidirect
203. #4685	C₂²	semidirect
209. #3123	D₃	semidirect
587. #478	C₂×D₃	semidirect
588. #478	C₂×D₃	semidirect
611. #461	C₂×D₃	semidirect
612. #461	C₂×D₃	semidirect
643. #440	C₂×D₃	semidirect
644. #440	C₂×D₃	semidirect
657. C₄×SD₁₆	C₂×D₃	semidirect
658. C₄×SD₁₆	C₂×D₃	semidirect
1709. C₃	#60586	semidirect

Maximal subgroups

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

subgroup	index
#86509	2
#85856	2
C₃×#3123	2
#83451	2
#82541	2
#81516	2
D₃×#485	2
#81499	2
#81497	2
#81171	2
#81170	2
#81142	2
#81140	2
#80431	2
#80411	2
#80409	2
#80147	2
#80145	2
#80137	2
#80136	2
#79783	2
#79780	2
#79778	2
#79776	2
#79655	2
#79652	2
#79650	2
#79648	2
#79394	2
#79374	2
#60586	3