Subgroups — #11675286

Order 768.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#87063	C₂	1	1	yes	maximal, characteristic
2	#87046	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
4	#83718	C₂	1	1	yes	maximal, characteristic, complemented
5	#83708	C₂	1	1	yes	maximal, characteristic, complemented
6	#81680	C₂	1	1	yes	maximal, characteristic, complemented
7	#81679	C₂	1	1	yes	maximal, characteristic, complemented
8	#81677	C₂	1	1	yes	maximal, characteristic, complemented
9	#81675	C₂	1	1	yes	maximal, characteristic, complemented
10	#81590	C₂	1	1	yes	maximal, characteristic, complemented
11	#81563	C₂	1	1	yes	maximal, characteristic, complemented
12	#81111	C₂	1	1	yes	maximal, characteristic, complemented
13	#81101	C₂	1	1	yes	maximal, characteristic, complemented
14	#80995	C₂	1	1	yes	maximal, characteristic, complemented
15	#80968	C₂	1	1	yes	maximal, characteristic, complemented
16	#80965	C₂	1	1	yes	maximal, characteristic, complemented
17	#80956	C₂	1	1	yes	maximal, characteristic, complemented
18	#80600	C₂	1	1	yes	maximal, characteristic, complemented
19	#80598	C₂	1	1	yes	maximal, characteristic, complemented
20	#80586	C₂	1	1	yes	maximal, characteristic, complemented
21	#80584	C₂	1	1	yes	maximal, characteristic, complemented
22	#80385	C₂	1	1	yes	maximal, characteristic, complemented
23	#80372	C₂	1	1	yes	maximal, characteristic, complemented
24	#79982	C₂	1	1	yes	maximal, characteristic, complemented
25	#79959	C₂	1	1	yes	maximal, characteristic, complemented
26	#79776	C₂	1	1	yes	maximal, characteristic, complemented
27	D₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
28	#79754	C₂	1	1	yes	maximal, characteristic, complemented
29	#79752	C₂	1	1	yes	maximal, characteristic, complemented
30	#79719	C₂	1	1	yes	maximal, characteristic, complemented
31	#79704	C₂	1	1	yes	maximal, characteristic, complemented
32	#61334	—	3	1	no	maximal, Sylow
33	C₃×#559	C₂²	1	1	yes	characteristic
34	C₃×Q₈²	C₂²	1	1	yes	characteristic, complemented
35	C₂×#918	C₂²	1	1	yes	characteristic
36	C₂×#915	C₂²	1	1	yes	characteristic
37	C₂×D₃×SD₁₆	C₂²	1	1	yes	characteristic
38	#5729	—	2	1	no	—
39	#5729	—	2	1	no	—
40	#5729	C₂²	1	1	yes	characteristic
41	#5729	C₂²	1	1	yes	characteristic
42	#5728	—	2	1	no	—
43	#5728	C₂²	1	1	yes	characteristic
44	#5722	—	2	1	no	—
45	#5722	C₂²	1	1	yes	characteristic, complemented
46	#5721	—	2	1	no	—
47	#5721	—	2	1	no	—
48	#5721	C₂²	1	1	yes	characteristic, complemented
49	#5721	C₂²	1	1	yes	characteristic, complemented
50	#5718	C₂²	1	1	yes	characteristic
51	#5715	C₂²	1	1	yes	characteristic
52	#5681	C₂²	1	1	yes	characteristic
53	#5678	—	2	1	no	—
54	#5674	C₂²	1	1	yes	characteristic
55	#5671	C₂²	1	1	yes	characteristic
56	#5670	—	2	1	no	—
57	#5668	C₂²	1	1	yes	characteristic
58	#5661	—	2	1	no	—
59	#5657	—	2	1	no	—
60	#5656	—	2	1	no	—
61	#5655	—	2	1	no	—
62	#5585	C₂²	1	1	yes	characteristic
63	#5578	—	2	1	no	—
64	#5578	C₂²	1	1	yes	characteristic
65	#5574	C₂²	1	1	yes	characteristic
66	#5572	C₂²	1	1	yes	characteristic
67	#5572	C₂²	1	1	yes	characteristic
68	C₄×D₃×Q₈	C₂²	1	1	yes	characteristic
69	#5570	C₂²	1	1	yes	characteristic, complemented
70	#5569	C₂²	1	1	yes	characteristic, complemented
71	#5569	C₂²	1	1	yes	characteristic, complemented
72	#5568	C₂²	1	1	yes	characteristic
73	#5567	—	2	1	no	—
74	#5567	C₂²	1	1	yes	characteristic, complemented
75	#5559	C₂²	1	1	yes	characteristic
76	#5553	C₂²	1	1	yes	characteristic
77	#5547	—	2	1	no	—
78	#5546	C₂²	1	1	yes	characteristic
79	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
80	#5540	—	2	1	no	—
81	C₃×#489	C₂²	1	1	yes	characteristic
82	C₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₃×#486	C₂²	1	1	yes	characteristic
84	C₃×#477	C₂²	1	1	yes	characteristic, complemented
85	C₃×#474	C₂²	1	1	yes	characteristic
86	C₃×#474	C₂²	1	1	yes	characteristic, complemented
87	C₃×#464	C₂²	1	1	yes	characteristic
88	C₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₃×#460	C₂²	1	1	yes	characteristic
90	C₃×#446	C₂²	1	1	yes	characteristic, complemented
91	C₃×#440	C₂²	1	1	yes	characteristic
92	C₃×#440	C₂²	1	1	yes	characteristic, complemented
93	C₃×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
94	#5185	C₂²	1	1	yes	characteristic
95	#5184	C₂²	1	1	yes	characteristic, complemented
96	#5182	C₂²	1	1	yes	characteristic, complemented
97	#5166	C₂²	1	1	yes	characteristic
98	#5164	C₂²	1	1	yes	characteristic
99	#5163	C₂²	1	1	yes	characteristic
100	#5163	C₂²	1	1	yes	characteristic
101	#5163	C₂²	1	1	yes	characteristic, complemented
102	Dic₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
103	#5091	C₂²	1	1	yes	characteristic, complemented
104	#5089	C₂²	1	1	yes	characteristic
105	#5089	C₂²	1	1	yes	characteristic, complemented
106	#5088	C₂²	1	1	yes	characteristic
107	#5087	C₂²	1	1	yes	characteristic
108	#5087	C₂²	1	1	yes	characteristic, complemented
109	#5075	C₂²	1	1	yes	characteristic
110	#5071	C₂²	1	1	yes	characteristic
111	#5056	C₂²	1	1	yes	characteristic
112	#5055	C₂²	1	1	yes	characteristic, complemented
113	#5054	C₂²	1	1	yes	characteristic
114	#5054	C₂²	1	1	yes	characteristic, complemented
115	#5030	C₂²	1	1	yes	characteristic, complemented
116	C₄×#216	C₂²	1	1	yes	characteristic, complemented
117	#5028	C₂²	1	1	yes	characteristic
118	#5028	C₂²	1	1	yes	characteristic, complemented
119	#5027	C₂²	1	1	yes	characteristic
120	#5026	C₂²	1	1	yes	characteristic
121	#5026	C₂²	1	1	yes	characteristic, complemented
122	#5024	C₂²	1	1	yes	characteristic, complemented
123	#5022	C₂²	1	1	yes	characteristic, complemented
124	#5018	C₂²	1	1	yes	characteristic
125	C₄×#214	C₂²	1	1	yes	characteristic, complemented
126	#5009	C₂²	1	1	yes	characteristic, complemented
127	#5008	C₂²	1	1	yes	characteristic
128	#4891	C₂²	1	1	yes	characteristic
129	#4891	C₂²	1	1	yes	characteristic
130	#4891	C₂²	1	1	yes	characteristic, complemented
131	#4890	C₂²	1	1	yes	characteristic, complemented
132	#4889	C₂²	1	1	yes	characteristic
133	#4889	C₂²	1	1	yes	characteristic, complemented
134	#4881	C₂²	1	1	yes	characteristic
135	#4881	C₂²	1	1	yes	characteristic
136	D₃×#107	C₂²	1	1	yes	characteristic
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	#4848	C₂²	1	1	yes	characteristic
141	#4847	C₂²	1	1	yes	characteristic, complemented
142	#4845	C₂²	1	1	yes	characteristic
143	#4845	C₂²	1	1	yes	characteristic, complemented
144	#4842	C₂²	1	1	yes	characteristic
145	#4839	C₂²	1	1	yes	characteristic
146	#4839	C₂²	1	1	yes	characteristic
147	#4837	C₂²	1	1	yes	characteristic
148	#4831	C₂²	1	1	yes	characteristic, complemented
149	#4829	C₂²	1	1	yes	characteristic, complemented
150	#4828	C₂²	1	1	yes	characteristic, complemented
151	#4828	C₂²	1	1	yes	characteristic, complemented
152	#4817	C₂²	1	1	yes	characteristic
153	#4804	C₂²	1	1	yes	characteristic
154	#4804	C₂²	1	1	yes	characteristic
155	#4803	C₂²	1	1	yes	characteristic
156	D₃×#103	C₂²	1	1	yes	characteristic
157	#4800	C₂²	1	1	yes	characteristic
158	#4799	C₂²	1	1	yes	characteristic, complemented
159	#4798	C₂²	1	1	yes	characteristic
160	#4797	C₂²	1	1	yes	characteristic, complemented
161	#4797	C₂²	1	1	yes	characteristic, complemented
162	#4795	C₂²	1	1	yes	characteristic, complemented
163	#4794	C₂²	1	1	yes	characteristic
164	#4793	C₂²	1	1	yes	characteristic, complemented
165	#4790	C₂²	1	1	yes	characteristic, complemented
166	#4789	C₂²	1	1	yes	characteristic, complemented
167	#4788	C₂²	1	1	yes	characteristic, complemented
168	#4772	C₂²	1	1	yes	characteristic
169	#4772	C₂²	1	1	yes	characteristic
170	#4771	C₂²	1	1	yes	characteristic
171	#4770	C₂²	1	1	yes	characteristic
172	#4770	C₂²	1	1	yes	characteristic
173	D₃×#102	C₂²	1	1	yes	characteristic
174	#4768	C₂²	1	1	yes	characteristic
175	#4767	C₂²	1	1	yes	characteristic
176	#4765	C₂²	1	1	yes	characteristic
177	#4764	C₂²	1	1	yes	characteristic
178	#4764	C₂²	1	1	yes	characteristic
179	#4764	C₂²	1	1	yes	characteristic, complemented
180	#4764	C₂²	1	1	yes	characteristic, complemented
181	#4763	C₂²	1	1	yes	characteristic
182	#4763	C₂²	1	1	yes	characteristic
183	#4763	C₂²	1	1	yes	characteristic, complemented
184	#4762	C₂²	1	1	yes	characteristic
185	#4762	C₂²	1	1	yes	characteristic
186	#4762	C₂²	1	1	yes	characteristic, complemented
187	#4760	C₂²	1	1	yes	characteristic
188	#4760	C₂²	1	1	yes	characteristic
189	#4759	C₂²	1	1	yes	characteristic, complemented
190	#4757	C₂²	1	1	yes	characteristic
191	#4757	C₂²	1	1	yes	characteristic, complemented
192	#4716	C₂²	1	1	yes	characteristic, complemented
193	#4714	C₂²	1	1	yes	characteristic, complemented
194	#4713	C₂²	1	1	yes	characteristic
195	#4710	C₂²	1	1	yes	characteristic
196	#4708	C₂²	1	1	yes	characteristic
197	D₃×#97	C₂²	1	1	yes	characteristic
198	#4701	C₂²	1	1	yes	characteristic, complemented
199	#4701	C₂²	1	1	yes	characteristic, complemented
200	#4697	C₂²	1	1	yes	characteristic
201	C₄×#204	C₂²	1	1	yes	characteristic, complemented
202	#4689	C₂²	1	1	yes	characteristic
203	#4679	C₂²	1	1	yes	characteristic, complemented
204	#3506	—	3	1	no	—
205	#3502	—	3	1	no	—
206	#3377	—	3	1	no	—
207	#3377	—	3	1	no	—
208	#3377	—	3	1	no	—
209	#3377	—	3	1	no	—
210	#3375	—	3	1	no	—
211	#3375	—	3	1	no	—
212	#3375	—	3	1	no	—
213	#3375	D₃	1	1	yes	characteristic, complemented
214	#3371	—	3	1	no	—
215	#3371	—	3	1	no	—
216	#3371	—	3	1	no	—
217	#3371	—	3	1	no	—
218	#3368	—	3	1	no	—
219	#3368	—	3	1	no	—
220	#3368	—	3	1	no	—
221	#3368	—	3	1	no	—
222	#3136	—	3	1	no	—
223	#3136	—	3	1	no	—
224	#3135	—	3	1	no	—
225	#3083	—	3	1	no	—
226	#3083	—	3	1	no	—
227	#3077	—	3	1	no	—
228	#3043	—	3	1	no	—
229	#3043	—	3	1	no	—
230	#3037	—	3	1	no	—
231	#2961	—	3	1	no	—
232	#2947	—	3	1	no	—
233	#2947	—	3	1	no	—
234	C₂×#440	—	3	1	no	—
235	C₂×#239	C₂³	1	1	yes	characteristic
236	C₂×D₃×Q₈	C₂³	1	1	yes	characteristic
237	C₂×#237	—	2	1	no	—
238	C₂×#237	C₂³	1	1	yes	characteristic
239	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
240	C₂×#235	—	2	1	no	—
241	C₂²×C₄×D₃	—	2	1	no	—
242	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
245	C₃×C₄⋊Q₈	—	2	1	no	—
246	C₃×C₄⋊Q₈	—	2	1	no	—
247	C₃×C₄⋊Q₈	—	2	1	no	—
248	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
249	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
250	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
251	C₃×#127	C₂³	1	1	yes	characteristic
252	C₃×#124	—	2	1	no	—
253	C₃×#124	C₂³	1	1	yes	characteristic
254	C₃×#124	C₂³	1	1	yes	characteristic
255	C₃×#123	—	2	1	no	—
256	C₃×#123	—	2	1	no	—
257	C₃×C₄×Q₈	—	2	1	no	—
258	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
259	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
260	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
261	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
262	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
263	C₃×C₄×D₄	—	2	1	no	—
264	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
265	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
266	#947	—	2	1	no	—
267	#947	C₂³	1	1	yes	characteristic
268	#946	—	2	1	no	—
269	#946	—	2	1	no	—
270	#946	—	2	1	no	—
271	#946	D₄	1	1	yes	characteristic
272	Q₈×Dic₃	—	2	1	no	—
273	Q₈×Dic₃	—	2	1	no	—
274	Q₈×Dic₃	—	2	1	no	—
275	Q₈×Dic₃	C₂³	1	1	yes	characteristic
276	Q₈×Dic₃	C₂³	1	1	yes	characteristic
277	Q₈×Dic₃	C₂³	1	1	yes	characteristic
278	Q₈×Dic₃	C₂³	1	1	yes	characteristic
279	#944	—	2	1	no	—
280	#944	—	2	1	no	—
281	#944	—	2	1	no	—
282	#944	—	2	1	no	—
283	#944	—	2	1	no	—
284	#944	—	2	1	no	—
285	#944	—	2	1	no	—
286	#944	D₄	1	1	yes	characteristic
287	#944	C₂³	1	1	yes	characteristic
288	C₂×#216	C₂³	1	1	yes	characteristic
289	C₂×#216	C₂³	1	1	yes	characteristic
290	C₂×#215	C₂³	1	1	yes	characteristic
291	C₂×#215	C₂³	1	1	yes	characteristic
292	#940	C₂³	1	1	yes	characteristic
293	#940	C₂³	1	1	yes	characteristic
294	#940	C₂³	1	1	yes	characteristic
295	#939	—	2	1	no	—
296	#939	—	2	1	no	—
297	#939	—	2	1	no	—
298	#939	—	2	1	no	—
299	#938	—	2	1	no	—
300	#937	—	2	1	no	—
301	#937	—	2	1	no	—
302	#936	C₂³	1	1	yes	characteristic
303	D₄×Dic₃	C₂³	1	1	yes	characteristic
304	D₄×Dic₃	C₂³	1	1	yes	characteristic
305	C₂×#214	C₂³	1	1	yes	characteristic
306	C₂×#214	C₂³	1	1	yes	characteristic
307	#930	—	2	1	no	—
308	#929	—	2	1	no	—
309	C₄×#67	—	2	1	no	—
310	C₄×#67	—	2	1	no	—
311	C₄×#67	—	2	1	no	—
312	C₂×Dic₃⋊C₄	—	2	1	no	—
313	#918	—	2	4	no	—
314	#915	—	2	4	no	—
315	D₃×SD₁₆	—	2	4	no	—
316	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
317	C₂×#204	C₂³	1	1	yes	characteristic
318	C₂×#204	C₂³	1	1	yes	characteristic
319	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
320	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
321	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
322	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
323	#898	—	2	1	no	—
324	#897	—	2	1	no	—
325	#897	D₄	1	1	yes	characteristic
326	#896	—	2	1	no	—
327	#896	—	2	1	no	—
328	#896	—	2	1	no	—
329	#896	D₄	1	1	yes	characteristic
330	#896	D₄	1	1	yes	characteristic
331	#894	—	2	1	no	—
332	#894	—	2	1	no	—
333	#893	—	2	1	no	—
334	#893	—	2	1	no	—
335	#893	C₂³	1	1	yes	characteristic
336	#893	C₂³	1	1	yes	characteristic
337	#892	—	2	1	no	—
338	#892	—	2	1	no	—
339	#892	C₂³	1	1	yes	characteristic
340	#892	C₂³	1	1	yes	characteristic
341	D₃×C₄⋊C₄	—	2	1	no	—
342	D₃×C₄⋊C₄	—	2	1	no	—
343	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
345	#890	—	2	1	no	—
346	#890	—	2	1	no	—
347	#890	—	2	1	no	—
348	#890	—	2	1	no	—
349	#890	C₂³	1	1	yes	characteristic
350	#890	C₂³	1	1	yes	characteristic
351	#890	C₂³	1	1	yes	characteristic
352	#890	C₂³	1	1	yes	characteristic
353	#889	—	2	1	no	—
354	#889	—	2	1	no	—
355	#889	—	2	1	no	—
356	#889	—	2	1	no	—
357	#889	—	2	1	no	—
358	#889	—	2	1	no	—
359	#889	—	2	1	no	—
360	#889	—	2	1	no	—
361	#889	D₄	1	1	yes	characteristic
362	#889	D₄	1	1	yes	characteristic
363	#888	—	2	1	no	—
364	#888	—	2	1	no	—
365	#888	—	2	1	no	—
366	#888	D₄	1	1	yes	characteristic
367	#888	C₂³	1	1	yes	characteristic
368	#888	C₂³	1	1	yes	characteristic
369	#887	—	2	1	no	—
370	#887	—	2	1	no	—
371	#887	—	2	1	no	—
372	#887	—	2	1	no	—
373	#887	—	2	1	no	—
374	#887	—	2	1	no	—
375	#887	C₂³	1	1	yes	characteristic
376	#887	C₂³	1	1	yes	characteristic
377	#887	C₂³	1	1	yes	characteristic
378	#887	C₂³	1	1	yes	characteristic
379	#886	—	2	1	no	—
380	#885	—	2	1	no	—
381	#885	—	2	1	no	—
382	#884	—	2	1	no	—
383	#884	—	2	1	no	—
384	#884	—	2	1	no	—
385	#884	—	2	1	no	—
386	#884	—	2	1	no	—
387	#884	—	2	1	no	—
388	#883	—	2	1	no	—
389	#883	—	2	1	no	—
390	#882	—	2	1	no	—
391	#882	—	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	D₃×C₂²⋊C₄	—	2	1	no	—
398	#879	—	2	1	no	—
399	#879	—	2	1	no	—
400	#878	—	2	1	no	—
401	#877	—	2	1	no	—
402	#877	—	2	1	no	—
403	#876	—	2	1	no	—
404	#875	C₂³	1	1	yes	characteristic
405	#875	C₂³	1	1	yes	characteristic
406	#874	C₂³	1	1	yes	characteristic
407	C₄×D₁₂	—	2	1	no	—
408	C₄×D₁₂	C₂³	1	1	yes	characteristic
409	C₄×D₁₂	C₂³	1	1	yes	characteristic
410	#872	—	2	1	no	—
411	#872	—	2	1	no	—
412	#872	—	2	1	no	—
413	#872	—	2	1	no	—
414	#872	C₂³	1	1	yes	characteristic
415	#872	C₂³	1	1	yes	characteristic
416	C₄²×D₃	—	2	1	no	—
417	C₄²×D₃	C₂³	1	1	yes	characteristic
418	#870	—	2	1	no	—
419	#870	—	2	1	no	—
420	#870	C₂³	1	1	yes	characteristic
421	#870	C₂³	1	1	yes	characteristic
422	#869	—	2	1	no	—
423	#869	C₂³	1	1	yes	characteristic
424	C₄×Dic₆	—	2	1	no	—
425	C₄×Dic₆	—	2	1	no	—
426	C₄×Dic₆	—	2	1	no	—
427	C₄×Dic₆	—	2	1	no	—
428	C₄×Dic₆	—	2	1	no	—
429	C₄×Dic₆	—	2	1	no	—
430	C₄×Dic₆	C₂³	1	1	yes	characteristic
431	C₄×Dic₆	C₂³	1	1	yes	characteristic
432	C₄×Dic₆	C₂³	1	1	yes	characteristic
433	C₄×Dic₆	C₂³	1	1	yes	characteristic
434	C₄×Dic₆	C₂³	1	1	yes	characteristic
435	C₄×Dic₆	C₂³	1	1	yes	characteristic
436	C₄×Dic₆	C₂³	1	1	yes	characteristic
437	C₃×#107	C₂³	1	1	yes	characteristic
438	C₃×#107	C₂³	1	1	yes	characteristic
439	C₃×#107	C₂³	1	1	yes	characteristic
440	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
443	C₃×#103	C₂³	1	1	yes	characteristic
444	C₃×#103	C₂³	1	1	yes	characteristic
445	C₃×#103	C₂³	1	1	yes	characteristic
446	C₃×#103	C₂³	1	1	yes	characteristic
447	C₃×#102	C₂³	1	1	yes	characteristic
448	C₃×#102	C₂³	1	1	yes	characteristic
449	C₃×#102	C₂³	1	1	yes	characteristic
450	C₃×#102	C₂³	1	1	yes	characteristic
451	C₃×#102	C₂³	1	1	yes	characteristic
452	C₃×#102	C₂³	1	1	yes	characteristic
453	C₃×#97	C₂³	1	1	yes	characteristic
454	C₃×#97	C₂³	1	1	yes	characteristic
455	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
456	#835	C₂³	1	1	yes	characteristic
457	#835	C₂³	1	1	yes	characteristic
458	#835	C₂³	1	1	yes	characteristic
459	#835	C₂³	1	1	yes	characteristic
460	#832	C₂³	1	1	yes	characteristic
461	#832	C₂³	1	1	yes	characteristic
462	#832	C₂³	1	1	yes	characteristic
463	#832	C₂³	1	1	yes	characteristic
464	#832	C₂³	1	1	yes	characteristic
465	#832	C₂³	1	1	yes	characteristic
466	#821	C₂³	1	1	yes	characteristic
467	#821	C₂³	1	1	yes	characteristic
468	#821	C₂³	1	1	yes	characteristic
469	#821	C₂³	1	1	yes	characteristic
470	#821	C₂³	1	1	yes	characteristic
471	#821	C₂³	1	1	yes	characteristic
472	#818	C₂³	1	1	yes	characteristic
473	#817	C₂³	1	1	yes	characteristic
474	#817	C₂³	1	1	yes	characteristic
475	#816	C₂³	1	1	yes	characteristic
476	#816	C₂³	1	1	yes	characteristic
477	#816	C₂³	1	1	yes	characteristic
478	#816	C₂³	1	1	yes	characteristic
479	#815	C₂³	1	1	yes	characteristic
480	#815	C₂³	1	1	yes	characteristic
481	#815	C₂³	1	1	yes	characteristic
482	#815	C₂³	1	1	yes	characteristic
483	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
484	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
485	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
486	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
487	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
488	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
489	C₈×Dic₃	C₂³	1	1	yes	characteristic
490	C₈×Dic₃	C₂³	1	1	yes	characteristic
491	#810	C₂³	1	1	yes	characteristic
492	#810	C₂³	1	1	yes	characteristic
493	#810	C₂³	1	1	yes	characteristic
494	#810	C₂³	1	1	yes	characteristic
495	#809	C₂³	1	1	yes	characteristic
496	#809	C₂³	1	1	yes	characteristic
497	#809	C₂³	1	1	yes	characteristic
498	#809	C₂³	1	1	yes	characteristic
499	#809	C₂³	1	1	yes	characteristic
500	#809	C₂³	1	1	yes	characteristic
501	#808	C₂³	1	1	yes	characteristic
502	#808	C₂³	1	1	yes	characteristic
503	#807	C₂³	1	1	yes	characteristic
504	#807	C₂³	1	1	yes	characteristic
505	#807	C₂³	1	1	yes	characteristic
506	#807	C₂³	1	1	yes	characteristic
507	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
508	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
509	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
510	#803	C₂³	1	1	yes	characteristic
511	#803	C₂³	1	1	yes	characteristic
512	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
513	C₂×#137	—	3	1	no	—
514	C₂×#137	—	3	1	no	—
515	C₂²×SD₁₆	—	3	1	no	—
516	#559	—	3	1	no	—
517	#559	—	3	1	no	—
518	#559	—	3	1	no	—
519	#559	C₂×D₃	1	1	yes	characteristic
520	Q₈²	—	3	1	no	—
521	Q₈²	—	6	1	no	—
522	Q₈²	C₂×D₃	1	1	yes	characteristic, complemented
523	#557	—	3	1	no	—
524	#557	—	3	1	no	—
525	#557	—	3	1	no	—
526	#557	—	3	1	no	—
527	#557	—	3	1	no	—
528	#557	—	3	1	no	—
529	#557	—	6	1	no	—
530	#557	—	6	1	no	—
531	#557	—	6	1	no	—
532	#556	—	3	1	no	—
533	#556	—	3	1	no	—
534	#555	—	6	1	no	—
535	#553	—	6	1	no	—
536	#553	—	6	1	no	—
537	#550	—	3	1	no	—
538	#550	—	3	1	no	—
539	#547	—	6	1	no	—
540	#544	—	3	1	no	—
541	#544	—	3	1	no	—
542	#544	—	6	1	no	—
543	#544	—	6	1	no	—
544	#538	—	6	1	no	—
545	#538	—	6	1	no	—
546	#535	—	3	1	no	—
547	#535	—	3	1	no	—
548	#533	—	3	1	no	—
549	#533	—	3	1	no	—
550	#533	—	6	1	no	—
551	#533	—	6	1	no	—
552	#532	—	3	1	no	—
553	#525	—	6	1	no	—
554	#525	—	6	1	no	—
555	#520	—	3	1	no	—
556	#520	—	3	1	no	—
557	#519	—	3	1	no	—
558	#519	—	3	1	no	—
559	C₂×C₄×Q₈	—	3	1	no	—
560	C₂×C₄×D₄	—	3	1	no	—
561	#491	—	3	1	no	—
562	#491	—	3	1	no	—
563	#490	—	3	1	no	—
564	#490	—	3	1	no	—
565	#490	—	3	1	no	—
566	#490	—	3	1	no	—
567	#490	—	3	1	no	—
568	#490	—	3	1	no	—
569	#489	—	3	1	no	—
570	#489	—	3	1	no	—
571	#489	—	3	1	no	—
572	#489	—	3	1	no	—
573	#489	—	3	1	no	—
574	#489	—	3	1	no	—
575	#489	C₂×D₃	1	1	yes	characteristic
576	#489	C₂×D₃	1	1	yes	characteristic, complemented
577	#488	—	3	1	no	—
578	#488	—	3	1	no	—
579	#488	—	3	1	no	—
580	#488	—	3	1	no	—
581	#486	—	3	1	no	—
582	#486	—	3	1	no	—
583	#486	—	3	1	no	—
584	#486	C₂×D₃	1	1	yes	characteristic
585	#479	—	3	1	no	—
586	#479	—	3	1	no	—
587	#479	—	3	1	no	—
588	#479	—	3	1	no	—
589	#478	—	3	1	no	—
590	#478	—	3	1	no	—
591	#478	—	3	1	no	—
592	#478	—	3	1	no	—
593	#478	—	3	1	no	—
594	#478	—	3	1	no	—
595	#478	—	3	1	no	—
596	#478	—	3	1	no	—
597	#477	—	3	1	no	—
598	#477	—	3	1	no	—
599	#477	—	3	1	no	—
600	#477	C₂×D₃	1	1	yes	characteristic, complemented
601	#476	—	3	1	no	—
602	#476	—	3	1	no	—
603	#474	—	3	1	no	—
604	#474	—	3	1	no	—
605	#474	—	3	1	no	—
606	#474	—	3	1	no	—
607	#474	C₂×D₃	1	1	yes	characteristic
608	#474	C₂×D₃	1	1	yes	characteristic, complemented
609	#464	—	3	1	no	—
610	#464	—	3	1	no	—
611	#464	—	3	1	no	—
612	#464	—	3	1	no	—
613	#464	—	3	1	no	—
614	#464	—	3	1	no	—
615	#464	—	3	1	no	—
616	#464	—	3	1	no	—
617	#464	—	3	1	no	—
618	#464	—	3	1	no	—
619	#464	C₂×D₃	1	1	yes	characteristic
620	#464	C₂×D₃	1	1	yes	characteristic, complemented
621	#462	—	3	1	no	—
622	#462	—	3	1	no	—
623	#460	—	3	1	no	—
624	#460	—	3	1	no	—
625	#460	—	3	1	no	—
626	#460	—	3	1	no	—
627	#460	—	3	1	no	—
628	#460	—	3	1	no	—
629	#460	—	3	1	no	—
630	#460	—	3	1	no	—
631	#460	—	3	1	no	—
632	#460	C₂×D₃	1	1	yes	characteristic
633	#446	—	3	1	no	—
634	#446	—	3	1	no	—
635	#446	—	3	1	no	—
636	#446	—	3	1	no	—
637	#446	—	3	1	no	—
638	#446	—	3	1	no	—
639	#446	—	3	1	no	—
640	#446	C₂×D₃	1	1	yes	characteristic, complemented
641	#441	—	3	1	no	—
642	#441	—	3	1	no	—
643	#441	—	3	1	no	—
644	#441	—	3	1	no	—
645	#440	—	3	1	no	—
646	#440	—	3	1	no	—
647	#440	—	3	1	no	—
648	#440	—	3	1	no	—
649	#440	—	3	1	no	—
650	#440	—	3	1	no	—
651	#440	—	3	1	no	—
652	#440	—	3	1	no	—
653	#440	—	3	1	no	—
654	#440	—	3	1	no	—
655	#440	C₂×D₃	1	1	yes	characteristic
656	#440	C₂×D₃	1	1	yes	characteristic, complemented
657	C₄×Q₁₆	—	3	1	no	—
658	C₄×Q₁₆	—	3	1	no	—
659	C₄×Q₁₆	—	3	1	no	—
660	C₄×Q₁₆	C₂×D₃	1	1	yes	characteristic, complemented
661	C₄×SD₁₆	—	3	1	no	—
662	C₄×SD₁₆	—	3	1	no	—
663	C₄×SD₁₆	—	3	1	no	—
664	C₄×SD₁₆	—	3	1	no	—
665	#428	—	3	1	no	—
666	#428	—	3	1	no	—
667	C₂×#107	—	3	1	no	—
668	#424	—	3	1	no	—
669	#424	—	3	1	no	—
670	#423	—	3	1	no	—
671	#418	—	3	1	no	—
672	#418	—	3	1	no	—
673	#417	—	3	1	no	—
674	#417	—	3	1	no	—
675	#416	—	3	1	no	—
676	#416	—	3	1	no	—
677	#416	—	3	1	no	—
678	#416	—	3	1	no	—
679	C₂×#103	—	3	1	no	—
680	C₂×#102	—	3	1	no	—
681	#405	—	3	1	no	—
682	#405	—	3	1	no	—
683	C₂×#97	—	3	1	no	—
684	C₂³×D₃	—	2	1	no	—
685	C₂×C₃×Q₈	—	2	1	no	—
686	C₂×C₃×Q₈	—	2	1	no	—
687	C₂×C₃×Q₈	—	2	1	no	—
688	C₂×C₃×Q₈	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	1	no	—
692	C₂×C₃×D₄	—	2	1	no	—
693	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
694	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
695	C₂²×C₃×C₄	—	2	1	no	—
696	C₂²×C₃×C₄	—	2	1	no	—
697	C₂×#67	—	2	1	no	—
698	C₂×#67	—	2	1	no	—
699	C₂×#67	—	2	1	no	—
700	C₂×#67	—	2	1	no	—
701	C₂×#67	—	2	1	no	—
702	C₂×#67	—	2	1	no	—
703	C₂×#67	—	2	1	no	—
704	C₂×#67	—	2	1	no	—
705	C₂²×Dic₃	—	2	1	no	—
706	C₂²×Dic₃	—	2	1	no	—
707	C₂²×Dic₃	—	2	1	no	—
708	#239	—	2	2	no	—
709	#239	—	2	2	no	—
710	D₃×Q₈	—	2	2	no	—
711	D₃×Q₈	#41	1	4	yes	complemented
712	#237	—	2	2	no	—
713	#237	—	2	2	no	—
714	#237	—	8	2	no	—
715	D₃×D₄	—	2	2	no	—
716	D₃×D₄	—	2	2	no	—
717	#235	—	8	2	no	—
718	C₂×D₁₂	—	2	1	no	—
719	C₂×D₁₂	—	2	1	no	—
720	C₂×D₁₂	—	2	1	no	—
721	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
722	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
723	C₂×C₄×D₃	—	2	1	no	—
724	C₂×C₄×D₃	—	2	1	no	—
725	C₂×C₄×D₃	—	2	1	no	—
726	C₂×C₄×D₃	—	2	1	no	—
727	C₂×C₄×D₃	—	2	1	no	—
728	C₂×C₄×D₃	—	2	1	no	—
729	C₂×C₄×D₃	—	2	1	no	—
730	C₂×C₄×D₃	—	2	1	no	—
731	C₂×C₄×D₃	—	8	2	no	—
732	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
733	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
734	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
735	C₂×Dic₆	—	2	1	no	—
736	C₂×Dic₆	—	2	1	no	—
737	C₂×Dic₆	—	2	1	no	—
738	C₂×Dic₆	—	2	1	no	—
739	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
740	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
741	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
742	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
743	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
744	C₃×Q₁₆	—	2	2	no	—
745	C₃×SD₁₆	—	2	2	no	—
746	C₃×SD₁₆	—	2	2	no	—
747	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
748	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
749	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
750	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
751	C₃×C₄⋊C₄	—	2	1	no	—
752	C₃×C₄⋊C₄	—	2	1	no	—
753	C₃×C₄⋊C₄	—	2	1	no	—
754	C₃×C₄⋊C₄	—	2	1	no	—
755	C₃×C₄⋊C₄	—	2	1	no	—
756	C₃×C₄⋊C₄	—	2	1	no	—
757	C₃×C₄⋊C₄	—	2	1	no	—
758	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
759	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
760	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
761	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
762	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
763	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
764	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
765	C₃×C₂²⋊C₄	—	2	1	no	—
766	C₃×C₂²⋊C₄	—	2	1	no	—
767	C₃×C₂²⋊C₄	—	2	1	no	—
768	C₃×C₂²⋊C₄	—	2	1	no	—
769	C₃×C₂²⋊C₄	—	2	1	no	—
770	C₃×C₂²⋊C₄	—	2	1	no	—
771	C₃×C₄²	—	2	1	no	—
772	C₃×C₄²	—	2	1	no	—
773	C₃×C₄²	—	2	1	no	—
774	C₃×C₄²	—	2	1	no	—
775	C₃×C₄²	C₂⁴	1	1	yes	characteristic
776	C₃×C₄²	C₂⁴	1	1	yes	characteristic
777	C₃×C₄²	C₂⁴	1	1	yes	characteristic
778	#217	—	2	1	no	—
779	#217	—	2	1	no	—
780	#217	—	2	1	no	—
781	#217	—	2	1	no	—
782	#216	—	2	2	no	—
783	#216	—	2	2	no	—
784	#215	—	2	2	no	—
785	#215	—	2	2	no	—
786	#214	—	2	2	no	—
787	#214	—	2	2	no	—
788	(C₂×D₃)⋊C₄	—	2	1	no	—
789	(C₂×D₃)⋊C₄	—	2	1	no	—
790	(C₂×D₃)⋊C₄	—	2	1	no	—
791	(C₂×D₃)⋊C₄	—	2	1	no	—
792	(C₂×D₃)⋊C₄	—	2	1	no	—
793	(C₂×D₃)⋊C₄	—	2	1	no	—
794	(C₂×D₃)⋊C₄	—	2	1	no	—
795	(C₂×D₃)⋊C₄	—	2	1	no	—
796	(C₂×D₃)⋊C₄	—	2	1	no	—
797	(C₂×D₃)⋊C₄	—	2	1	no	—
798	(C₂×D₃)⋊C₄	—	2	1	no	—
799	(C₂×D₃)⋊C₄	—	2	1	no	—
800	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
801	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
802	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
803	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
804	C₄⋊Dic₃	—	2	1	no	—
805	C₄⋊Dic₃	—	2	1	no	—
806	C₄⋊Dic₃	—	2	1	no	—
807	C₄⋊Dic₃	—	2	1	no	—
808	C₄⋊Dic₃	—	2	1	no	—
809	C₄⋊Dic₃	—	2	1	no	—
810	C₄⋊Dic₃	—	2	1	no	—
811	C₄⋊Dic₃	—	2	1	no	—
812	C₄⋊Dic₃	—	2	1	no	—
813	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
814	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
815	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
816	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
817	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
818	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
819	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
820	Dic₃⋊C₄	—	2	1	no	—
821	Dic₃⋊C₄	—	2	1	no	—
822	Dic₃⋊C₄	—	2	1	no	—
823	Dic₃⋊C₄	—	2	1	no	—
824	Dic₃⋊C₄	—	2	1	no	—
825	Dic₃⋊C₄	—	2	1	no	—
826	Dic₃⋊C₄	—	2	1	no	—
827	Dic₃⋊C₄	—	2	1	no	—
828	Dic₃⋊C₄	—	2	1	no	—
829	Dic₃⋊C₄	—	2	1	no	—
830	Dic₃⋊C₄	—	2	1	no	—
831	Dic₃⋊C₄	—	2	1	no	—
832	Dic₃⋊C₄	—	2	1	no	—
833	Dic₃⋊C₄	—	2	1	no	—
834	Dic₃⋊C₄	—	2	1	no	—
835	Dic₃⋊C₄	—	2	1	no	—
836	Dic₃⋊C₄	—	2	1	no	—
837	Dic₃⋊C₄	—	2	1	no	—
838	Dic₃⋊C₄	—	2	1	no	—
839	Dic₃⋊C₄	—	2	1	no	—
840	Dic₃⋊C₄	—	2	1	no	—
841	Dic₃⋊C₄	—	2	1	no	—
842	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
843	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
844	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
845	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
846	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
847	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
848	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
849	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
850	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
851	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
852	C₄×Dic₃	—	2	1	no	—
853	C₄×Dic₃	—	2	1	no	—
854	C₄×Dic₃	—	2	1	no	—
855	C₄×Dic₃	—	2	1	no	—
856	C₄×Dic₃	—	2	1	no	—
857	C₄×Dic₃	—	2	1	no	—
858	C₄×Dic₃	—	2	1	no	—
859	C₄×Dic₃	—	2	1	no	—
860	C₄×Dic₃	—	2	1	no	—
861	C₄×Dic₃	—	2	1	no	—
862	C₄×Dic₃	—	2	1	no	—
863	C₄×Dic₃	—	2	1	no	—
864	C₄×Dic₃	—	2	1	no	—
865	C₄×Dic₃	—	2	1	no	—
866	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
867	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
868	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
869	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
870	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
871	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
872	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
873	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
874	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
875	Dic₁₂	—	2	2	no	—
876	#204	—	2	2	no	—
877	#204	—	2	2	no	—
878	ΓL(1,𝔽₂₅)	—	2	2	no	—
879	ΓL(1,𝔽₂₅)	—	2	2	no	—
880	D₃×C₈	—	2	2	no	—
881	D₃×C₈	—	2	2	no	—
882	C₂×#41	—	3	1	no	—
883	C₂×#41	—	3	1	no	—
884	C₂×#41	—	6	1	no	—
885	C₂×#41	—	6	1	no	—
886	C₂²×Q₈	—	3	1	no	—
887	C₂²×D₄	—	3	1	no	—
888	C₂³×C₄	—	6	1	no	—
889	#137	—	6	4	no	—
890	#137	—	6	4	no	—
891	C₂×Q₁₆	—	3	1	no	—
892	C₂×Q₁₆	—	3	1	no	—
893	C₂×Q₁₆	—	3	1	no	—
894	C₂×Q₁₆	C₂²×D₃	1	1	yes	characteristic
895	C₂×SD₁₆	—	3	1	no	—
896	C₂×SD₁₆	—	3	1	no	—
897	C₂×SD₁₆	—	3	1	no	—
898	C₂×SD₁₆	—	3	1	no	—
899	C₂×SD₁₆	—	3	1	no	—
900	C₂×SD₁₆	—	3	1	no	—
901	C₂×SD₁₆	—	6	4	no	—
902	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
903	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
904	C₂×M₁₆	—	3	1	no	—
905	C₂×M₁₆	—	3	1	no	—
906	C₂²×C₈	—	3	1	no	—
907	C₂²×C₈	—	3	1	no	—
908	C₄⋊Q₈	—	2	1	no	—
909	C₄⋊Q₈	—	2	1	no	—
910	C₄⋊Q₈	—	2	1	no	—
911	C₄⋊Q₈	—	3	1	no	—
912	C₄⋊Q₈	—	3	1	no	—
913	C₄⋊Q₈	—	3	1	no	—
914	C₄⋊Q₈	—	3	1	no	—
915	C₄⋊Q₈	—	3	1	no	—
916	C₄⋊Q₈	—	3	1	no	—
917	C₄⋊Q₈	—	6	1	no	—
918	C₄⋊Q₈	—	6	1	no	—
919	C₄⋊Q₈	—	6	1	no	—
920	C₄⋊Q₈	—	6	1	no	—
921	C₄⋊Q₈	—	6	1	no	—
922	C₄⋊Q₈	—	6	1	no	—
923	C₄⋊Q₈	—	6	1	no	—
924	C₄⋊Q₈	—	6	1	no	—
925	C₄⋊Q₈	—	6	1	no	—
926	C₄⋊Q₈	—	6	1	no	—
927	C₄⋊Q₈	—	6	1	no	—
928	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
929	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
930	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
931	#127	—	3	1	no	—
932	#127	—	3	1	no	—
933	#127	—	3	1	no	—
934	#127	—	3	1	no	—
935	#127	C₂²×D₃	1	1	yes	characteristic
936	#126	—	6	1	no	—
937	#126	—	6	1	no	—
938	#126	—	6	1	no	—
939	#126	—	6	1	no	—
940	#125	—	3	1	no	—
941	#125	—	3	1	no	—
942	#125	—	3	1	no	—
943	#125	—	3	1	no	—
944	#125	—	3	1	no	—
945	#125	—	3	1	no	—
946	#125	—	3	1	no	—
947	#125	—	3	1	no	—
948	#125	—	6	1	no	—
949	#125	—	6	1	no	—
950	#125	—	6	1	no	—
951	#125	—	6	1	no	—
952	#125	—	6	1	no	—
953	#125	—	6	1	no	—
954	#125	—	6	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	—	6	1	no	—
961	#125	—	6	1	no	—
962	#124	—	2	1	no	—
963	#124	—	3	1	no	—
964	#124	—	3	1	no	—
965	#124	—	3	1	no	—
966	#124	—	3	1	no	—
967	#124	—	6	1	no	—
968	#124	—	6	1	no	—
969	#124	—	6	1	no	—
970	#124	C₂²×D₃	1	1	yes	characteristic
971	#124	C₂²×D₃	1	1	yes	characteristic
972	#123	—	2	1	no	—
973	#123	—	2	1	no	—
974	#123	—	6	1	no	—
975	#123	—	6	1	no	—
976	#123	—	6	1	no	—
977	#123	—	6	1	no	—
978	#123	—	6	1	no	—
979	#123	—	6	1	no	—
980	C₂²⋊Q₈	—	3	1	no	—
981	C₂²⋊Q₈	—	3	1	no	—
982	C₂²⋊Q₈	—	3	1	no	—
983	C₂²⋊Q₈	—	3	1	no	—
984	C₂²⋊Q₈	—	6	1	no	—
985	C₂²⋊Q₈	—	6	1	no	—
986	C₂²⋊Q₈	—	6	1	no	—
987	C₂²⋊Q₈	—	6	1	no	—
988	C₂²⋊Q₈	—	6	1	no	—
989	C₂²⋊Q₈	—	6	1	no	—
990	C₂²⋊Q₈	—	6	1	no	—
991	C₂²⋊Q₈	—	6	1	no	—
992	#121	—	6	1	no	—
993	#121	—	6	1	no	—
994	#121	—	6	1	no	—
995	#121	—	6	1	no	—
996	#121	—	6	1	no	—
997	#121	—	6	1	no	—
998	#121	—	6	1	no	—
999	#121	—	6	1	no	—
1000	#121	—	6	1	no	—
1001	#121	—	6	1	no	—
1002	#121	—	6	1	no	—
1003	#121	—	6	1	no	—
1004	#120	—	6	1	no	—
1005	#120	—	6	1	no	—
1006	#120	—	6	1	no	—
1007	#120	—	6	1	no	—
1008	C₄×Q₈	—	2	1	no	—
1009	C₄×Q₈	—	3	1	no	—
1010	C₄×Q₈	—	3	1	no	—
1011	C₄×Q₈	—	3	1	no	—
1012	C₄×Q₈	—	3	1	no	—
1013	C₄×Q₈	—	3	1	no	—
1014	C₄×Q₈	—	3	1	no	—
1015	C₄×Q₈	—	3	1	no	—
1016	C₄×Q₈	—	3	1	no	—
1017	C₄×Q₈	—	3	1	no	—
1018	C₄×Q₈	—	3	1	no	—
1019	C₄×Q₈	—	3	1	no	—
1020	C₄×Q₈	—	3	1	no	—
1021	C₄×Q₈	—	3	1	no	—
1022	C₄×Q₈	—	3	1	no	—
1023	C₄×Q₈	—	3	1	no	—
1024	C₄×Q₈	—	6	1	no	—
1025	C₄×Q₈	—	6	1	no	—
1026	C₄×Q₈	—	6	1	no	—
1027	C₄×Q₈	—	6	1	no	—
1028	C₄×Q₈	—	6	1	no	—
1029	C₄×Q₈	—	6	1	no	—
1030	C₄×Q₈	—	6	1	no	—
1031	C₄×Q₈	—	6	1	no	—
1032	C₄×Q₈	—	6	1	no	—
1033	C₄×Q₈	—	6	1	no	—
1034	C₄×Q₈	—	6	1	no	—
1035	C₄×Q₈	—	6	1	no	—
1036	C₄×Q₈	—	6	1	no	—
1037	C₄×Q₈	—	6	1	no	—
1038	C₄×Q₈	—	6	1	no	—
1039	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1040	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1041	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1042	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1043	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1044	C₄×D₄	—	2	1	no	—
1045	C₄×D₄	—	3	1	no	—
1046	C₄×D₄	—	3	1	no	—
1047	C₄×D₄	—	3	1	no	—
1048	C₄×D₄	—	3	1	no	—
1049	C₄×D₄	—	3	1	no	—
1050	C₄×D₄	—	3	1	no	—
1051	C₄×D₄	—	6	1	no	—
1052	C₄×D₄	—	6	1	no	—
1053	C₄×D₄	—	6	1	no	—
1054	C₄×D₄	—	6	1	no	—
1055	C₄×D₄	—	6	1	no	—
1056	C₄×D₄	—	6	1	no	—
1057	C₄×D₄	—	6	1	no	—
1058	C₄×D₄	—	6	1	no	—
1059	C₄×D₄	—	6	1	no	—
1060	C₄×D₄	—	6	1	no	—
1061	C₄×D₄	—	6	1	no	—
1062	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1063	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1064	#117	—	3	1	no	—
1065	#117	—	3	1	no	—
1066	#117	—	3	1	no	—
1067	#117	—	3	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	C₂×C₄⋊C₄	—	3	1	no	—
1077	C₂×C₄⋊C₄	—	3	1	no	—
1078	C₂×C₄⋊C₄	—	6	1	no	—
1079	C₂×C₄⋊C₄	—	6	1	no	—
1080	C₂×C₄⋊C₄	—	6	1	no	—
1081	C₂×C₂²⋊C₄	—	6	1	no	—
1082	C₂×C₄²	—	3	1	no	—
1083	C₂×C₄²	—	6	1	no	—
1084	#107	—	3	1	no	—
1085	#107	—	3	1	no	—
1086	#107	—	3	1	no	—
1087	#107	—	3	1	no	—
1088	#107	—	3	1	no	—
1089	#107	C₂²×D₃	1	1	yes	characteristic
1090	#107	C₂²×D₃	1	1	yes	characteristic
1091	#107	C₂²×D₃	1	1	yes	characteristic
1092	#106	—	3	1	no	—
1093	#106	—	3	1	no	—
1094	#106	—	3	1	no	—
1095	#106	—	3	1	no	—
1096	C₄⋊C₈	—	3	1	no	—
1097	C₄⋊C₈	—	3	1	no	—
1098	C₄⋊C₈	—	3	1	no	—
1099	C₄⋊C₈	—	3	1	no	—
1100	C₄⋊C₈	—	3	1	no	—
1101	C₄⋊C₈	—	3	1	no	—
1102	C₄⋊C₈	—	3	1	no	—
1103	C₄⋊C₈	—	3	1	no	—
1104	C₄⋊C₈	—	3	1	no	—
1105	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1106	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1107	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1108	#103	—	3	1	no	—
1109	#103	—	3	1	no	—
1110	#103	—	3	1	no	—
1111	#103	—	3	1	no	—
1112	#103	—	3	1	no	—
1113	#103	—	3	1	no	—
1114	#103	—	3	1	no	—
1115	#103	—	3	1	no	—
1116	#103	—	3	1	no	—
1117	#103	—	3	1	no	—
1118	#103	—	3	1	no	—
1119	#103	—	3	1	no	—
1120	#103	C₂²×D₃	1	1	yes	characteristic
1121	#103	C₂²×D₃	1	1	yes	characteristic
1122	#103	C₂²×D₃	1	1	yes	characteristic
1123	#103	C₂²×D₃	1	1	yes	characteristic
1124	#102	—	3	1	no	—
1125	#102	—	3	1	no	—
1126	#102	—	3	1	no	—
1127	#102	—	3	1	no	—
1128	#102	—	3	1	no	—
1129	#102	—	3	1	no	—
1130	#102	—	3	1	no	—
1131	#102	—	3	1	no	—
1132	#102	—	3	1	no	—
1133	#102	—	3	1	no	—
1134	#102	—	3	1	no	—
1135	#102	—	3	1	no	—
1136	#102	—	3	1	no	—
1137	#102	—	3	1	no	—
1138	#102	—	3	1	no	—
1139	#102	—	3	1	no	—
1140	#102	—	3	1	no	—
1141	#102	—	3	1	no	—
1142	#102	C₂²×D₃	1	1	yes	characteristic
1143	#102	C₂²×D₃	1	1	yes	characteristic
1144	#102	C₂²×D₃	1	1	yes	characteristic
1145	#102	C₂²×D₃	1	1	yes	characteristic
1146	#102	C₂²×D₃	1	1	yes	characteristic
1147	#102	C₂²×D₃	1	1	yes	characteristic
1148	#97	—	3	1	no	—
1149	#97	—	3	1	no	—
1150	#97	—	3	1	no	—
1151	#97	—	3	1	no	—
1152	#97	—	3	1	no	—
1153	#97	—	3	1	no	—
1154	#97	C₂²×D₃	1	1	yes	characteristic
1155	#97	C₂²×D₃	1	1	yes	characteristic
1156	C₄×C₈	—	3	1	no	—
1157	C₄×C₈	—	3	1	no	—
1158	C₄×C₈	—	3	1	no	—
1159	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1160	C₂³×C₃	—	2	1	no	—
1161	C₂³×C₃	—	2	1	no	—
1162	C₂²×D₃	—	2	1	no	—
1163	C₂²×D₃	—	2	1	no	—
1164	C₂²×D₃	—	4	2	no	—
1165	C₂²×D₃	—	8	1	no	—
1166	C₂²×D₃	—	8	1	no	—
1167	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1168	C₃×Q₈	—	2	1	no	—
1169	C₃×Q₈	—	2	1	no	—
1170	C₃×Q₈	—	2	1	no	—
1171	C₃×Q₈	—	4	1	no	—
1172	C₃×Q₈	—	8	1	no	—
1173	C₃×Q₈	—	8	1	no	—
1174	C₃×Q₈	—	8	1	no	—
1175	C₃×Q₈	C₂×#41	1	2	yes	—
1176	C₃×D₄	—	2	1	no	—
1177	C₃×D₄	—	2	1	no	—
1178	C₃×D₄	—	2	1	no	—
1179	C₃×D₄	—	2	1	no	—
1180	C₃×D₄	—	8	1	no	—
1181	C₃×D₄	—	8	1	no	—
1182	C₂×C₃×C₄	—	2	1	no	—
1183	C₂×C₃×C₄	—	2	1	no	—
1184	C₂×C₃×C₄	—	2	1	no	—
1185	C₂×C₃×C₄	—	2	1	no	—
1186	C₂×C₃×C₄	—	2	1	no	—
1187	C₂×C₃×C₄	—	2	1	no	—
1188	C₂×C₃×C₄	—	8	1	no	—
1189	C₂×C₃×C₄	—	8	1	no	—
1190	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1191	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1192	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1193	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1194	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1195	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1196	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1197	#67	—	4	2	no	—
1198	#67	—	4	2	no	—
1199	#67	—	4	2	no	—
1200	#67	—	8	1	no	—
1201	#67	—	8	1	no	—
1202	#67	—	8	1	no	—
1203	#67	—	8	1	no	—
1204	#67	—	8	1	no	—
1205	C₂×Dic₃	—	2	1	no	—
1206	C₂×Dic₃	—	2	1	no	—
1207	C₂×Dic₃	—	2	1	no	—
1208	C₂×Dic₃	—	2	1	no	—
1209	C₂×Dic₃	—	2	1	no	—
1210	C₂×Dic₃	—	2	1	no	—
1211	C₂×Dic₃	—	4	2	no	—
1212	C₂×Dic₃	—	4	2	no	—
1213	C₂×Dic₃	—	8	1	no	—
1214	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1215	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1216	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1217	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1218	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1219	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1220	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1221	D₁₂	—	2	1	no	—
1222	D₁₂	—	2	1	no	—
1223	D₁₂	—	2	1	no	—
1224	D₁₂	—	2	1	no	—
1225	D₁₂	—	4	2	no	—
1226	D₁₂	—	8	1	no	—
1227	D₁₂	—	8	1	no	—
1228	C₄×D₃	—	2	4	no	—
1229	C₄×D₃	—	4	1	no	—
1230	C₄×D₃	—	4	1	no	—
1231	C₄×D₃	—	4	2	no	—
1232	C₄×D₃	—	4	2	no	—
1233	C₄×D₃	—	8	1	no	—
1234	C₄×D₃	—	8	1	no	—
1235	C₄×D₃	—	8	1	no	—
1236	C₄×D₃	—	8	1	no	—
1237	C₄×D₃	—	8	1	no	—
1238	C₄×D₃	C₂×#41	1	2	yes	—
1239	C₄×D₃	2₋¹⁺⁴	1	2	yes	—
1240	Dic₆	—	2	1	no	—
1241	Dic₆	—	2	4	no	—
1242	Dic₆	—	2	1	no	—
1243	Dic₆	—	2	1	no	—
1244	Dic₆	—	4	1	no	—
1245	Dic₆	—	4	1	no	—
1246	Dic₆	—	4	1	no	—
1247	Dic₆	—	4	2	no	—
1248	Dic₆	—	8	1	no	—
1249	Dic₆	—	8	1	no	—
1250	Dic₆	C₂×#41	1	2	yes	—
1251	C₃×C₈	—	2	1	no	—
1252	C₃×C₈	—	2	1	no	—
1253	C₃×C₈	—	2	1	no	—
1254	C₃×C₈	—	2	1	no	—
1255	C₃⋊C₈	—	2	1	no	—
1256	C₃⋊C₈	—	2	1	no	—
1257	C₃⋊C₈	—	2	1	no	—
1258	C₃⋊C₈	—	2	1	no	—
1259	C₂⁴	—	6	1	no	—
1260	#41	—	6	2	no	—
1261	#41	—	6	2	no	—
1262	#41	—	6	2	no	—
1263	#41	—	6	2	no	—
1264	#41	—	24	2	no	—
1265	#41	—	24	2	no	—
1266	C₂×Q₈	—	2	1	no	—
1267	C₂×Q₈	—	2	1	no	—
1268	C₂×Q₈	—	2	1	no	—
1269	C₂×Q₈	—	3	1	no	—
1270	C₂×Q₈	—	3	1	no	—
1271	C₂×Q₈	—	3	1	no	—
1272	C₂×Q₈	—	3	4	no	—
1273	C₂×Q₈	—	3	1	no	—
1274	C₂×Q₈	—	3	1	no	—
1275	C₂×Q₈	—	6	1	no	—
1276	C₂×Q₈	—	6	1	no	—
1277	C₂×Q₈	—	6	1	no	—
1278	C₂×Q₈	—	6	2	no	—
1279	C₂×Q₈	—	6	1	no	—
1280	C₂×Q₈	D₃×D₄	1	1	yes	characteristic
1281	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1282	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1283	C₂×D₄	—	2	1	no	—
1284	C₂×D₄	—	2	1	no	—
1285	C₂×D₄	—	3	1	no	—
1286	C₂×D₄	—	3	1	no	—
1287	C₂×D₄	—	6	1	no	—
1288	C₂×D₄	—	6	2	no	—
1289	C₂×D₄	—	6	2	no	—
1290	C₂×D₄	—	6	1	no	—
1291	C₂×D₄	—	6	1	no	—
1292	C₂×D₄	—	6	1	no	—
1293	C₂×D₄	—	6	1	no	—
1294	C₂×D₄	—	6	1	no	—
1295	C₂×D₄	—	6	1	no	—
1296	C₂×D₄	—	6	1	no	—
1297	C₂×D₄	—	6	1	no	—
1298	C₂×D₄	—	6	1	no	—
1299	C₂×D₄	—	6	1	no	—
1300	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1301	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1302	C₂²×C₄	—	2	1	no	—
1303	C₂²×C₄	—	2	1	no	—
1304	C₂²×C₄	—	3	1	no	—
1305	C₂²×C₄	—	3	1	no	—
1306	C₂²×C₄	—	3	1	no	—
1307	C₂²×C₄	—	6	1	no	—
1308	C₂²×C₄	—	6	1	no	—
1309	C₂²×C₄	—	6	1	no	—
1310	C₂²×C₄	—	6	1	no	—
1311	C₂²×C₄	—	6	1	no	—
1312	C₂²×C₄	—	6	1	no	—
1313	C₂²×C₄	—	6	1	no	—
1314	C₂²×C₄	—	6	1	no	—
1315	C₂²×C₄	—	6	1	no	—
1316	C₂²×C₄	—	6	1	no	—
1317	C₂²×C₄	—	6	1	no	—
1318	C₂²×C₄	—	24	2	no	—
1319	Q₁₆	—	2	2	no	—
1320	Q₁₆	—	6	2	no	—
1321	Q₁₆	—	6	2	no	—
1322	Q₁₆	—	6	2	no	—
1323	SD₁₆	—	2	2	no	—
1324	SD₁₆	—	2	2	no	—
1325	SD₁₆	—	6	2	no	—
1326	SD₁₆	—	6	2	no	—
1327	SD₁₆	—	6	2	no	—
1328	SD₁₆	—	6	2	no	—
1329	SD₁₆	—	6	2	no	—
1330	SD₁₆	—	6	2	no	—
1331	M₁₆	—	6	2	no	—
1332	M₁₆	—	6	2	no	—
1333	C₂×C₈	—	3	1	no	—
1334	C₂×C₈	—	3	1	no	—
1335	C₂×C₈	—	3	1	no	—
1336	C₂×C₈	—	3	1	no	—
1337	C₂×C₈	—	6	2	no	—
1338	C₂×C₈	—	6	2	no	—
1339	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1340	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1341	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1342	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	3	1	no	—
1351	C₄⋊C₄	—	3	1	no	—
1352	C₄⋊C₄	—	3	1	no	—
1353	C₄⋊C₄	—	3	1	no	—
1354	C₄⋊C₄	—	3	1	no	—
1355	C₄⋊C₄	—	3	1	no	—
1356	C₄⋊C₄	—	3	1	no	—
1357	C₄⋊C₄	—	3	1	no	—
1358	C₄⋊C₄	—	3	1	no	—
1359	C₄⋊C₄	—	3	1	no	—
1360	C₄⋊C₄	—	3	1	no	—
1361	C₄⋊C₄	—	3	1	no	—
1362	C₄⋊C₄	—	3	1	no	—
1363	C₄⋊C₄	—	3	1	no	—
1364	C₄⋊C₄	—	3	1	no	—
1365	C₄⋊C₄	—	3	1	no	—
1366	C₄⋊C₄	—	3	1	no	—
1367	C₄⋊C₄	—	6	1	no	—
1368	C₄⋊C₄	—	6	1	no	—
1369	C₄⋊C₄	—	6	1	no	—
1370	C₄⋊C₄	—	6	1	no	—
1371	C₄⋊C₄	—	6	1	no	—
1372	C₄⋊C₄	—	6	1	no	—
1373	C₄⋊C₄	—	6	1	no	—
1374	C₄⋊C₄	—	6	1	no	—
1375	C₄⋊C₄	—	6	1	no	—
1376	C₄⋊C₄	—	6	1	no	—
1377	C₄⋊C₄	—	6	1	no	—
1378	C₄⋊C₄	—	6	1	no	—
1379	C₄⋊C₄	—	6	1	no	—
1380	C₄⋊C₄	—	6	1	no	—
1381	C₄⋊C₄	—	6	1	no	—
1382	C₄⋊C₄	—	6	1	no	—
1383	C₄⋊C₄	—	6	1	no	—
1384	C₄⋊C₄	—	6	1	no	—
1385	C₄⋊C₄	—	6	1	no	—
1386	C₄⋊C₄	—	6	1	no	—
1387	C₄⋊C₄	—	6	1	no	—
1388	C₄⋊C₄	—	6	1	no	—
1389	C₄⋊C₄	—	6	1	no	—
1390	C₄⋊C₄	—	6	1	no	—
1391	C₄⋊C₄	—	6	1	no	—
1392	C₄⋊C₄	—	6	1	no	—
1393	C₄⋊C₄	—	6	1	no	—
1394	C₄⋊C₄	—	6	1	no	—
1395	C₄⋊C₄	—	6	1	no	—
1396	C₄⋊C₄	—	6	1	no	—
1397	C₄⋊C₄	—	6	1	no	—
1398	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1399	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1400	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1401	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1402	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1403	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1404	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	3	1	no	—
1412	C₂²⋊C₄	—	3	1	no	—
1413	C₂²⋊C₄	—	3	1	no	—
1414	C₂²⋊C₄	—	3	1	no	—
1415	C₂²⋊C₄	—	6	1	no	—
1416	C₂²⋊C₄	—	6	1	no	—
1417	C₂²⋊C₄	—	6	1	no	—
1418	C₂²⋊C₄	—	6	1	no	—
1419	C₂²⋊C₄	—	6	1	no	—
1420	C₂²⋊C₄	—	6	1	no	—
1421	C₂²⋊C₄	—	6	1	no	—
1422	C₂²⋊C₄	—	6	1	no	—
1423	C₂²⋊C₄	—	6	1	no	—
1424	C₂²⋊C₄	—	6	1	no	—
1425	C₂²⋊C₄	—	6	1	no	—
1426	C₂²⋊C₄	—	6	1	no	—
1427	C₂²⋊C₄	—	6	1	no	—
1428	C₂²⋊C₄	—	6	1	no	—
1429	C₂²⋊C₄	—	6	1	no	—
1430	C₂²⋊C₄	—	6	1	no	—
1431	C₄²	—	2	1	no	—
1432	C₄²	—	2	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	2	1	no	—
1435	C₄²	—	3	1	no	—
1436	C₄²	—	3	1	no	—
1437	C₄²	—	3	1	no	—
1438	C₄²	—	3	1	no	—
1439	C₄²	—	3	1	no	—
1440	C₄²	—	6	1	no	—
1441	C₄²	—	6	1	no	—
1442	C₄²	—	6	1	no	—
1443	C₄²	—	6	1	no	—
1444	C₄²	—	6	1	no	—
1445	C₄²	—	6	1	no	—
1446	C₄²	—	6	1	no	—
1447	C₄²	—	6	1	no	—
1448	C₄²	—	6	1	no	—
1449	C₄²	—	6	1	no	—
1450	C₄²	—	6	1	no	—
1451	C₄²	—	6	1	no	—
1452	C₄²	—	6	1	no	—
1453	C₄²	—	6	1	no	—
1454	C₄²	C₂³×D₃	1	1	yes	characteristic
1455	C₄²	C₂³×D₃	1	1	yes	characteristic
1456	C₄²	C₂³×D₃	1	1	yes	characteristic
1457	C₂²×C₃	—	4	1	no	—
1458	C₂²×C₃	—	4	1	no	—
1459	C₂²×C₃	—	4	1	no	—
1460	C₂²×C₃	—	4	1	no	—
1461	C₂²×C₃	—	4	1	no	—
1462	C₂²×C₃	—	4	1	no	—
1463	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1464	C₂×D₃	—	2	1	no	—
1465	C₂×D₃	—	2	1	no	—
1466	C₂×D₃	—	4	1	no	—
1467	C₂×D₃	—	4	1	no	—
1468	C₂×D₃	—	4	1	no	—
1469	C₂×D₃	—	4	1	no	—
1470	C₂×D₃	—	4	1	no	—
1471	C₂×D₃	—	4	1	no	—
1472	C₂×D₃	—	8	4	no	—
1473	C₂×D₃	#548	1	2	yes	—
1474	C₃×C₄	—	2	1	no	—
1475	C₃×C₄	—	2	1	no	—
1476	C₃×C₄	—	2	1	no	—
1477	C₃×C₄	—	2	1	no	—
1478	C₃×C₄	—	2	1	no	—
1479	C₃×C₄	—	2	1	no	—
1480	C₃×C₄	—	2	2	no	—
1481	C₃×C₄	—	4	1	no	—
1482	C₃×C₄	—	4	1	no	—
1483	C₃×C₄	—	4	1	no	—
1484	C₃×C₄	—	4	1	no	—
1485	C₃×C₄	—	4	1	no	—
1486	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1487	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1488	Dic₃	—	2	1	no	—
1489	Dic₃	—	2	1	no	—
1490	Dic₃	—	2	1	no	—
1491	Dic₃	—	2	1	no	—
1492	Dic₃	—	2	1	no	—
1493	Dic₃	—	2	1	no	—
1494	Dic₃	—	2	2	no	—
1495	Dic₃	—	4	1	no	—
1496	Dic₃	—	4	1	no	—
1497	Dic₃	—	4	1	no	—
1498	Dic₃	—	4	1	no	—
1499	Dic₃	—	4	1	no	—
1500	Dic₃	#548	1	2	yes	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	3	1	no	—
1504	C₂³	—	6	1	no	—
1505	C₂³	—	6	1	no	—
1506	C₂³	—	12	2	no	—
1507	C₂³	—	24	1	no	—
1508	C₂³	—	24	1	no	—
1509	Q₈	—	2	1	no	—
1510	Q₈	—	2	1	no	—
1511	Q₈	—	2	1	no	—
1512	Q₈	—	3	2	no	—
1513	Q₈	—	4	1	no	—
1514	Q₈	—	6	4	no	—
1515	Q₈	—	6	1	no	—
1516	Q₈	—	6	1	no	—
1517	Q₈	—	6	1	no	—
1518	Q₈	—	8	1	no	—
1519	Q₈	—	8	1	no	—
1520	Q₈	—	8	1	no	—
1521	Q₈	—	12	1	no	—
1522	Q₈	—	12	1	no	—
1523	Q₈	—	12	1	no	—
1524	Q₈	—	12	2	no	—
1525	Q₈	—	24	1	no	—
1526	Q₈	—	24	1	no	—
1527	Q₈	D₃×#41	1	2	yes	—
1528	D₄	—	2	1	no	—
1529	D₄	—	2	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	6	1	no	—
1533	D₄	—	6	1	no	—
1534	D₄	—	6	1	no	—
1535	D₄	—	6	1	no	—
1536	D₄	—	8	1	no	—
1537	D₄	—	8	1	no	—
1538	D₄	—	12	2	no	—
1539	D₄	—	12	2	no	—
1540	D₄	—	12	2	no	—
1541	D₄	—	12	2	no	—
1542	D₄	—	24	1	no	—
1543	D₄	—	24	1	no	—
1544	D₄	—	24	1	no	—
1545	D₄	—	24	1	no	—
1546	D₄	—	24	1	no	—
1547	D₄	—	24	1	no	—
1548	D₄	—	24	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	3	1	no	—
1556	C₂×C₄	—	3	2	no	—
1557	C₂×C₄	—	3	2	no	—
1558	C₂×C₄	—	3	1	no	—
1559	C₂×C₄	—	3	1	no	—
1560	C₂×C₄	—	3	1	no	—
1561	C₂×C₄	—	3	1	no	—
1562	C₂×C₄	—	3	1	no	—
1563	C₂×C₄	—	3	1	no	—
1564	C₂×C₄	—	6	4	no	—
1565	C₂×C₄	—	6	1	no	—
1566	C₂×C₄	—	6	1	no	—
1567	C₂×C₄	—	6	1	no	—
1568	C₂×C₄	—	6	1	no	—
1569	C₂×C₄	—	6	1	no	—
1570	C₂×C₄	—	6	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	—	12	1	no	—
1574	C₂×C₄	—	12	1	no	—
1575	C₂×C₄	—	12	2	no	—
1576	C₂×C₄	—	12	2	no	—
1577	C₂×C₄	—	12	2	no	—
1578	C₂×C₄	—	12	2	no	—
1579	C₂×C₄	—	24	1	no	—
1580	C₂×C₄	—	24	1	no	—
1581	C₂×C₄	—	24	1	no	—
1582	C₂×C₄	—	24	1	no	—
1583	C₂×C₄	—	24	1	no	—
1584	C₂×C₄	—	24	1	no	—
1585	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1586	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1587	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1588	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1589	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1590	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1591	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1592	C₈	—	2	1	no	—
1593	C₈	—	2	1	no	—
1594	C₈	—	2	1	no	—
1595	C₈	—	2	1	no	—
1596	C₈	—	6	1	no	—
1597	C₈	—	6	1	no	—
1598	C₈	—	6	1	no	—
1599	C₈	—	6	1	no	—
1600	C₂×C₃	—	8	1	no	—
1601	C₂×C₃	—	8	1	no	—
1602	C₂×C₃	C₂×#548	1	1	yes	characteristic
1603	C₂×C₃	#3585	1	1	yes	characteristic
1604	C₂×C₃	#3586	1	1	yes	characteristic
1605	D₃	—	2	2	no	—
1606	D₃	—	8	1	no	—
1607	D₃	—	8	1	no	—
1608	C₂²	—	3	2	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	6	1	no	—
1616	C₂²	—	6	1	no	—
1617	C₂²	—	12	1	no	—
1618	C₂²	—	12	1	no	—
1619	C₂²	—	12	1	no	—
1620	C₂²	—	12	1	no	—
1621	C₂²	—	12	1	no	—
1622	C₂²	—	12	1	no	—
1623	C₂²	—	24	4	no	—
1624	C₂²	C₂²×D₃×D₄	1	1	yes	characteristic
1625	C₄	—	2	1	no	—
1626	C₄	—	2	1	no	—
1627	C₄	—	2	1	no	—
1628	C₄	—	2	1	no	—
1629	C₄	—	2	1	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	2	2	no	—
1632	C₄	—	3	2	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	6	1	no	—
1639	C₄	—	6	1	no	—
1640	C₄	—	6	1	no	—
1641	C₄	—	6	1	no	—
1642	C₄	—	6	1	no	—
1643	C₄	—	6	1	no	—
1644	C₄	—	6	2	no	—
1645	C₄	—	12	1	no	—
1646	C₄	—	12	1	no	—
1647	C₄	—	12	1	no	—
1648	C₄	—	12	1	no	—
1649	C₄	—	12	1	no	—
1650	C₄	C₂×D₃×#41	1	1	yes	characteristic
1651	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1652	C₃	#61334	1	1	yes	characteristic, complemented, Sylow
1653	C₂	—	6	2	no	—
1654	C₂	—	8	1	no	—
1655	C₂	—	8	1	no	—
1656	C₂	—	24	1	no	—
1657	C₂	—	24	1	no	—
1658	C₂	D₃×#548	1	1	yes	characteristic
1659	C₂	#87197	1	1	yes	characteristic
1660	C₂	#87204	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×#3375	C₂
socle	C₂²×C₃	C₂³×D₄
prime radical	#87063	C₂
hypercenter	#3375	D₃
hypocenter	C₃	#61334
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3375

Complements

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

N	H ≅ G/N	type
2. #87046	C₂	semidirect
3. C₃×#3375	C₂	semidirect
4. #83718	C₂	semidirect
5. #83708	C₂	semidirect
6. #81680	C₂	semidirect
7. #81679	C₂	semidirect
8. #81677	C₂	semidirect
9. #81675	C₂	semidirect
10. #81590	C₂	semidirect
11. #81563	C₂	semidirect
12. #81111	C₂	semidirect
13. #81101	C₂	semidirect
14. #80995	C₂	semidirect
15. #80968	C₂	semidirect
16. #80965	C₂	semidirect
17. #80956	C₂	semidirect
18. #80600	C₂	semidirect
19. #80598	C₂	semidirect
20. #80586	C₂	semidirect
21. #80584	C₂	semidirect
22. #80385	C₂	semidirect
23. #80372	C₂	semidirect
24. #79982	C₂	semidirect
25. #79959	C₂	semidirect
26. #79776	C₂	semidirect
27. D₃×#440	C₂	semidirect
28. #79754	C₂	semidirect
29. #79752	C₂	semidirect
30. #79719	C₂	semidirect
31. #79704	C₂	semidirect
34. C₃×Q₈²	C₂²	semidirect
45. #5722	C₂²	semidirect
48. #5721	C₂²	semidirect
49. #5721	C₂²	semidirect
69. #5570	C₂²	semidirect
70. #5569	C₂²	semidirect
71. #5569	C₂²	semidirect
74. #5567	C₂²	semidirect
82. C₃×#489	C₂²	semidirect
84. C₃×#477	C₂²	semidirect
86. C₃×#474	C₂²	semidirect
88. C₃×#464	C₂²	semidirect
90. C₃×#446	C₂²	semidirect
92. C₃×#440	C₂²	semidirect
93. C₃×C₄×Q₁₆	C₂²	semidirect
95. #5184	C₂²	semidirect
96. #5182	C₂²	semidirect
101. #5163	C₂²	semidirect
102. Dic₃×SD₁₆	C₂²	semidirect
103. #5091	C₂²	semidirect
105. #5089	C₂²	semidirect
108. #5087	C₂²	semidirect
112. #5055	C₂²	semidirect
114. #5054	C₂²	semidirect
115. #5030	C₂²	semidirect
116. C₄×#216	C₂²	semidirect
118. #5028	C₂²	semidirect
121. #5026	C₂²	semidirect
122. #5024	C₂²	semidirect
123. #5022	C₂²	semidirect
125. C₄×#214	C₂²	semidirect
126. #5009	C₂²	semidirect
130. #4891	C₂²	semidirect
131. #4890	C₂²	semidirect
133. #4889	C₂²	semidirect
137. #4877	C₂²	semidirect
138. #4875	C₂²	semidirect
139. #4873	C₂²	semidirect
141. #4847	C₂²	semidirect
143. #4845	C₂²	semidirect
148. #4831	C₂²	semidirect
149. #4829	C₂²	semidirect
150. #4828	C₂²	semidirect
151. #4828	C₂²	semidirect
158. #4799	C₂²	semidirect
160. #4797	C₂²	semidirect
161. #4797	C₂²	semidirect
162. #4795	C₂²	semidirect
164. #4793	C₂²	semidirect
165. #4790	C₂²	semidirect
166. #4789	C₂²	semidirect
167. #4788	C₂²	semidirect
179. #4764	C₂²	semidirect
180. #4764	C₂²	semidirect
183. #4763	C₂²	semidirect
186. #4762	C₂²	semidirect
189. #4759	C₂²	semidirect
191. #4757	C₂²	semidirect
192. #4716	C₂²	semidirect
193. #4714	C₂²	semidirect
198. #4701	C₂²	semidirect
199. #4701	C₂²	semidirect
201. C₄×#204	C₂²	semidirect
203. #4679	C₂²	semidirect
213. #3375	D₃	semidirect
522. Q₈²	C₂×D₃	semidirect
576. #489	C₂×D₃	semidirect
600. #477	C₂×D₃	semidirect
608. #474	C₂×D₃	semidirect
620. #464	C₂×D₃	semidirect
640. #446	C₂×D₃	semidirect
656. #440	C₂×D₃	semidirect
660. C₄×Q₁₆	C₂×D₃	semidirect
711. D₃×Q₈	#41	semidirect
1652. C₃	#61334	semidirect

Maximal subgroups

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

subgroup	index
#87063	2
#87046	2
C₃×#3375	2
#83718	2
#83708	2
#81680	2
#81679	2
#81677	2
#81675	2
#81590	2
#81563	2
#81111	2
#81101	2
#80995	2
#80968	2
#80965	2
#80956	2
#80600	2
#80598	2
#80586	2
#80584	2
#80385	2
#80372	2
#79982	2
#79959	2
#79776	2
D₃×#440	2
#79754	2
#79752	2
#79719	2
#79704	2
#61334	3