Subgroups — #11675449

Order 768.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86984	C₂	1	1	yes	maximal, characteristic, complemented
2	#86949	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
4	#83667	C₂	1	1	yes	maximal, characteristic, complemented
5	#83643	C₂	1	1	yes	maximal, characteristic, complemented
6	#81738	C₂	1	1	yes	maximal, characteristic, complemented
7	#81734	C₂	1	1	yes	maximal, characteristic, complemented
8	#81680	C₂	1	1	yes	maximal, characteristic, complemented
9	#81670	C₂	1	1	yes	maximal, characteristic, complemented
10	#81640	C₂	1	1	yes	maximal, characteristic, complemented
11	#81633	C₂	1	1	yes	maximal, characteristic, complemented
12	#81265	C₂	1	1	yes	maximal, characteristic, complemented
13	#81229	C₂	1	1	yes	maximal, characteristic, complemented
14	#81202	C₂	1	1	yes	maximal, characteristic, complemented
15	#81169	C₂	1	1	yes	maximal, characteristic, complemented
16	#81038	C₂	1	1	yes	maximal, characteristic, complemented
17	#81013	C₂	1	1	yes	maximal, characteristic, complemented
18	#80536	C₂	1	1	yes	maximal, characteristic
19	D₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
20	#80522	C₂	1	1	yes	maximal, characteristic, complemented
21	#80519	C₂	1	1	yes	maximal, characteristic, complemented
22	#80430	C₂	1	1	yes	maximal, characteristic, complemented
23	#80416	C₂	1	1	yes	maximal, characteristic, complemented
24	#79971	C₂	1	1	yes	maximal, characteristic, complemented
25	#79960	C₂	1	1	yes	maximal, characteristic, complemented
26	#79867	C₂	1	1	yes	maximal, characteristic, complemented
27	#79853	C₂	1	1	yes	maximal, characteristic, complemented
28	#79777	C₂	1	1	yes	maximal, characteristic, complemented
29	#79753	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#914	C₂	1	1	yes	maximal, characteristic, complemented
31	#79620	C₂	1	1	yes	maximal, characteristic, complemented
32	#61343	—	3	1	no	maximal, Sylow
33	C₃×#556	C₂²	1	1	yes	characteristic, complemented
34	C₃×#554	C₂²	1	1	yes	characteristic, complemented
35	C₂×#914	C₂²	1	1	yes	characteristic
36	C₂×D₃×SD₁₆	C₂²	1	1	yes	characteristic
37	C₂×D₃×D₈	C₂²	1	1	yes	characteristic
38	#5732	C₂²	1	1	yes	characteristic, complemented
39	#5729	C₂²	1	1	yes	characteristic
40	#5727	C₂²	1	1	yes	characteristic, complemented
41	#5724	C₂²	1	1	yes	characteristic
42	#5710	—	2	1	no	—
43	#5706	—	2	1	no	—
44	#5705	—	2	1	no	—
45	#5705	—	2	1	no	—
46	#5690	C₂²	1	1	yes	characteristic, complemented
47	#5690	C₂²	1	1	yes	characteristic, complemented
48	#5689	C₂²	1	1	yes	characteristic
49	#5688	C₂²	1	1	yes	characteristic
50	#5681	C₂²	1	1	yes	characteristic, complemented
51	#5674	C₂²	1	1	yes	characteristic
52	D₃×#124	C₂²	1	1	yes	characteristic
53	#5671	C₂²	1	1	yes	characteristic, complemented
54	#5640	—	2	1	no	—
55	#5637	—	2	1	no	—
56	#5636	—	2	1	no	—
57	#5636	—	2	1	no	—
58	#5634	—	2	1	no	—
59	#5634	—	2	1	no	—
60	#5632	—	2	1	no	—
61	D₃×C₂²⋊Q₈	—	2	1	no	—
62	#5585	C₂²	1	1	yes	characteristic, complemented
63	#5585	C₂²	1	1	yes	characteristic, complemented
64	#5579	C₂²	1	1	yes	characteristic, complemented
65	#5578	C₂²	1	1	yes	characteristic
66	C₄×#239	C₂²	1	1	yes	characteristic
67	#5572	C₂²	1	1	yes	characteristic
68	#5568	C₂²	1	1	yes	characteristic, complemented
69	#5559	C₂²	1	1	yes	characteristic, complemented
70	#5545	C₂²	1	1	yes	characteristic
71	#5545	C₂²	1	1	yes	characteristic
72	#5545	C₂²	1	1	yes	characteristic
73	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
74	#5539	C₂²	1	1	yes	characteristic, complemented
75	#5539	C₂²	1	1	yes	characteristic, complemented
76	D₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
77	#5528	—	2	1	no	—
78	#5527	—	2	1	no	—
79	#5511	—	2	1	no	—
80	C₂×#896	—	2	1	no	—
81	C₃×#491	C₂²	1	1	yes	characteristic, complemented
82	C₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₃×#488	C₂²	1	1	yes	characteristic, complemented
84	C₃×#479	C₂²	1	1	yes	characteristic, complemented
85	C₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₃×#475	C₂²	1	1	yes	characteristic, complemented
87	C₃×#463	C₂²	1	1	yes	characteristic
88	C₃×#463	C₂²	1	1	yes	characteristic
89	C₃×#461	C₂²	1	1	yes	characteristic, complemented
90	C₃×#446	C₂²	1	1	yes	characteristic, complemented
91	C₃×#442	C₂²	1	1	yes	characteristic
92	C₃×#440	C₂²	1	1	yes	characteristic, complemented
93	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
94	#5165	C₂²	1	1	yes	characteristic
95	#5165	C₂²	1	1	yes	characteristic
96	#5165	C₂²	1	1	yes	characteristic, complemented
97	#5164	C₂²	1	1	yes	characteristic, complemented
98	#5164	C₂²	1	1	yes	characteristic, complemented
99	#5162	C₂²	1	1	yes	characteristic, complemented
100	#5153	C₂²	1	1	yes	characteristic
101	#5152	C₂²	1	1	yes	characteristic
102	#5150	C₂²	1	1	yes	characteristic
103	#5091	C₂²	1	1	yes	characteristic, complemented
104	#5088	C₂²	1	1	yes	characteristic, complemented
105	#5083	C₂²	1	1	yes	characteristic, complemented
106	#5079	C₂²	1	1	yes	characteristic, complemented
107	#5068	C₂²	1	1	yes	characteristic, complemented
108	#5068	C₂²	1	1	yes	characteristic, complemented
109	#5066	C₂²	1	1	yes	characteristic, complemented
110	#5066	C₂²	1	1	yes	characteristic, complemented
111	#5057	C₂²	1	1	yes	characteristic
112	#5057	C₂²	1	1	yes	characteristic
113	#5056	C₂²	1	1	yes	characteristic, complemented
114	#5056	C₂²	1	1	yes	characteristic, complemented
115	C₄×#215	C₂²	1	1	yes	characteristic, complemented
116	C₄×#215	C₂²	1	1	yes	characteristic, complemented
117	Q₈×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
118	#5022	C₂²	1	1	yes	characteristic, complemented
119	#5022	C₂²	1	1	yes	characteristic, complemented
120	C₄×#214	C₂²	1	1	yes	characteristic, complemented
121	#5016	C₂²	1	1	yes	characteristic
122	#5016	C₂²	1	1	yes	characteristic, complemented
123	#5015	C₂²	1	1	yes	characteristic
124	C₄×#213	C₂²	1	1	yes	characteristic
125	C₄×#213	C₂²	1	1	yes	characteristic
126	C₄×#213	C₂²	1	1	yes	characteristic, complemented
127	#5008	C₂²	1	1	yes	characteristic, complemented
128	#4891	C₂²	1	1	yes	characteristic, complemented
129	#4890	C₂²	1	1	yes	characteristic, complemented
130	#4889	C₂²	1	1	yes	characteristic, complemented
131	#4880	C₂²	1	1	yes	characteristic
132	#4870	C₂²	1	1	yes	characteristic, complemented
133	#4870	C₂²	1	1	yes	characteristic, complemented
134	#4869	C₂²	1	1	yes	characteristic
135	#4869	C₂²	1	1	yes	characteristic, complemented
136	#4861	C₂²	1	1	yes	characteristic
137	#4860	C₂²	1	1	yes	characteristic
138	#4857	C₂²	1	1	yes	characteristic, complemented
139	#4854	C₂²	1	1	yes	characteristic, complemented
140	#4847	C₂²	1	1	yes	characteristic, complemented
141	#4846	C₂²	1	1	yes	characteristic, complemented
142	#4844	C₂²	1	1	yes	characteristic
143	#4844	C₂²	1	1	yes	characteristic, complemented
144	#4843	C₂²	1	1	yes	characteristic
145	#4839	C₂²	1	1	yes	characteristic
146	#4839	C₂²	1	1	yes	characteristic
147	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
148	#4831	C₂²	1	1	yes	characteristic, complemented
149	#4831	C₂²	1	1	yes	characteristic, complemented
150	#4831	C₂²	1	1	yes	characteristic, complemented
151	#4829	C₂²	1	1	yes	characteristic, complemented
152	#4819	C₂²	1	1	yes	characteristic
153	#4819	C₂²	1	1	yes	characteristic
154	#4819	C₂²	1	1	yes	characteristic, complemented
155	#4818	C₂²	1	1	yes	characteristic, complemented
156	#4817	C₂²	1	1	yes	characteristic, complemented
157	#4804	C₂²	1	1	yes	characteristic
158	#4804	C₂²	1	1	yes	characteristic
159	#4803	C₂²	1	1	yes	characteristic
160	#4802	C₂²	1	1	yes	characteristic
161	#4802	C₂²	1	1	yes	characteristic
162	D₃×#103	C₂²	1	1	yes	characteristic
163	#4800	C₂²	1	1	yes	characteristic, complemented
164	#4800	C₂²	1	1	yes	characteristic, complemented
165	#4799	C₂²	1	1	yes	characteristic, complemented
166	#4797	C₂²	1	1	yes	characteristic, complemented
167	#4794	C₂²	1	1	yes	characteristic, complemented
168	#4794	C₂²	1	1	yes	characteristic, complemented
169	#4794	C₂²	1	1	yes	characteristic, complemented
170	#4794	C₂²	1	1	yes	characteristic, complemented
171	#4793	C₂²	1	1	yes	characteristic, complemented
172	#4793	C₂²	1	1	yes	characteristic, complemented
173	#4792	C₂²	1	1	yes	characteristic, complemented
174	#4791	C₂²	1	1	yes	characteristic, complemented
175	#4788	C₂²	1	1	yes	characteristic, complemented
176	#4787	C₂²	1	1	yes	characteristic
177	#4786	C₂²	1	1	yes	characteristic
178	#4785	C₂²	1	1	yes	characteristic, complemented
179	#4770	C₂²	1	1	yes	characteristic
180	#4770	C₂²	1	1	yes	characteristic
181	#4770	C₂²	1	1	yes	characteristic
182	D₃×#102	C₂²	1	1	yes	characteristic
183	#4766	C₂²	1	1	yes	characteristic, complemented
184	#4765	C₂²	1	1	yes	characteristic, complemented
185	#4765	C₂²	1	1	yes	characteristic, complemented
186	#4764	C₂²	1	1	yes	characteristic, complemented
187	#4760	C₂²	1	1	yes	characteristic, complemented
188	#4759	C₂²	1	1	yes	characteristic, complemented
189	#4758	C₂²	1	1	yes	characteristic, complemented
190	#4756	C₂²	1	1	yes	characteristic
191	#4756	C₂²	1	1	yes	characteristic
192	#4714	C₂²	1	1	yes	characteristic, complemented
193	#4713	C₂²	1	1	yes	characteristic, complemented
194	#4711	C₂²	1	1	yes	characteristic
195	#4710	C₂²	1	1	yes	characteristic, complemented
196	#4708	C₂²	1	1	yes	characteristic
197	#4708	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, complemented
201	C₄×D₂₄	C₂²	1	1	yes	characteristic, complemented
202	C₄×ΓL(1,𝔽₂₅)	C₂²	1	1	yes	characteristic
203	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
204	#3510	—	3	1	no	—
205	#3501	—	3	1	no	—
206	#3376	—	3	1	no	—
207	#3376	—	3	1	no	—
208	#3376	—	3	1	no	—
209	#3376	D₃	1	1	yes	characteristic, complemented
210	#3373	—	3	1	no	—
211	#3373	—	3	1	no	—
212	#3370	—	3	1	no	—
213	#3370	—	3	1	no	—
214	#3370	—	3	1	no	—
215	#3370	—	3	1	no	—
216	#3367	—	3	1	no	—
217	#3367	—	3	1	no	—
218	#3361	—	3	1	no	—
219	#3361	—	3	1	no	—
220	#3360	—	3	1	no	—
221	#3360	—	3	1	no	—
222	#3140	—	3	1	no	—
223	#3137	—	3	1	no	—
224	#3136	—	3	1	no	—
225	#3082	—	3	1	no	—
226	#3081	—	3	1	no	—
227	#3076	—	3	1	no	—
228	#3042	—	3	1	no	—
229	#3041	—	3	1	no	—
230	C₂×#463	—	3	1	no	—
231	#2962	—	3	1	no	—
232	#2949	—	3	1	no	—
233	#2948	—	3	1	no	—
234	C₄×AGL(1,ℤ/8)	—	3	1	no	—
235	C₂×#239	C₂³	1	1	yes	characteristic
236	C₂×D₃×Q₈	—	2	1	no	—
237	C₂×D₃×Q₈	C₂³	1	1	yes	characteristic
238	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
239	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₃	—	2	1	no	—
241	C₂²×Dic₆	—	2	1	no	—
242	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
245	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
246	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
247	C₃×#126	—	2	1	no	—
248	C₃×#126	—	2	1	no	—
249	C₃×#125	C₂³	1	1	yes	characteristic
250	C₃×#125	C₂³	1	1	yes	characteristic
251	C₃×#124	C₂³	1	1	yes	characteristic
252	C₃×#124	C₂³	1	1	yes	characteristic
253	C₃×C₂²⋊Q₈	—	2	1	no	—
254	C₃×C₂²⋊Q₈	—	2	1	no	—
255	C₃×C₂²⋊Q₈	—	2	1	no	—
256	C₃×C₂²⋊Q₈	—	2	1	no	—
257	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
258	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
259	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
260	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
261	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
262	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
263	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
264	C₃×#117	—	2	1	no	—
265	C₂×C₃×C₄⋊C₄	—	2	1	no	—
266	#947	—	2	1	no	—
267	#947	C₂³	1	1	yes	characteristic
268	#947	C₂³	1	1	yes	characteristic
269	#947	C₂³	1	1	yes	characteristic
270	#946	—	2	1	no	—
271	#946	—	2	1	no	—
272	#946	—	2	1	no	—
273	#946	D₄	1	1	yes	characteristic
274	Q₈×Dic₃	C₂³	1	1	yes	characteristic
275	Q₈×Dic₃	C₂³	1	1	yes	characteristic
276	#944	—	2	1	no	—
277	#944	D₄	1	1	yes	characteristic
278	#944	C₂³	1	1	yes	characteristic
279	C₂×#215	C₂³	1	1	yes	characteristic
280	C₂×#215	C₂³	1	1	yes	characteristic
281	#940	C₂³	1	1	yes	characteristic
282	#936	C₂³	1	1	yes	characteristic
283	D₄×Dic₃	C₂³	1	1	yes	characteristic
284	D₄×Dic₃	C₂³	1	1	yes	characteristic
285	D₄×Dic₃	C₂³	1	1	yes	characteristic
286	D₄×Dic₃	C₂³	1	1	yes	characteristic
287	C₂×#214	C₂³	1	1	yes	characteristic
288	C₂×#213	C₂³	1	1	yes	characteristic
289	C₂×#213	C₂³	1	1	yes	characteristic
290	C₂×#213	C₂³	1	1	yes	characteristic
291	#929	—	2	1	no	—
292	C₄×#67	—	2	1	no	—
293	C₄×#67	—	2	1	no	—
294	C₄×#67	—	2	1	no	—
295	C₄×#67	—	2	1	no	—
296	C₄×#67	—	2	1	no	—
297	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
298	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
299	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
300	#924	—	2	1	no	—
301	#924	—	2	1	no	—
302	#924	—	2	1	no	—
303	C₂×Dic₃⋊C₄	—	2	1	no	—
304	C₂×Dic₃⋊C₄	—	2	1	no	—
305	#914	—	2	4	no	—
306	D₃×SD₁₆	—	2	4	no	—
307	D₃×D₈	—	2	4	no	—
308	C₂×D₂₄	C₂³	1	1	yes	characteristic
309	C₂×D₂₄	C₂³	1	1	yes	characteristic
310	C₂×#204	C₂³	1	1	yes	characteristic
311	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
312	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
313	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
314	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
315	#898	—	2	1	no	—
316	#898	—	2	1	no	—
317	#898	—	2	1	no	—
318	#897	—	2	1	no	—
319	#897	—	2	1	no	—
320	#897	—	2	1	no	—
321	#897	—	2	1	no	—
322	#897	D₄	1	1	yes	characteristic
323	#896	—	2	1	no	—
324	#896	—	2	1	no	—
325	#896	—	2	1	no	—
326	#896	—	2	1	no	—
327	#896	—	2	1	no	—
328	#896	—	2	1	no	—
329	#896	—	2	1	no	—
330	#896	—	2	1	no	—
331	#896	—	2	1	no	—
332	#896	—	2	1	no	—
333	#896	—	2	1	no	—
334	#896	—	2	1	no	—
335	#896	—	2	1	no	—
336	#896	—	2	1	no	—
337	#896	—	2	1	no	—
338	#896	D₄	1	1	yes	characteristic
339	#896	D₄	1	1	yes	characteristic
340	#894	—	2	1	no	—
341	#894	—	2	1	no	—
342	#894	—	2	1	no	—
343	#894	—	2	1	no	—
344	#894	—	2	1	no	—
345	#894	—	2	1	no	—
346	#893	—	2	1	no	—
347	#893	—	2	1	no	—
348	#893	C₂³	1	1	yes	characteristic
349	#893	C₂³	1	1	yes	characteristic
350	#893	C₂³	1	1	yes	characteristic
351	#893	C₂³	1	1	yes	characteristic
352	#893	C₂³	1	1	yes	characteristic
353	#892	—	2	1	no	—
354	#892	—	2	1	no	—
355	#892	—	2	1	no	—
356	#892	C₂³	1	1	yes	characteristic
357	#892	C₂³	1	1	yes	characteristic
358	#892	C₂³	1	1	yes	characteristic
359	D₃×C₄⋊C₄	—	2	1	no	—
360	D₃×C₄⋊C₄	—	2	1	no	—
361	D₃×C₄⋊C₄	—	2	1	no	—
362	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
363	#890	C₂³	1	1	yes	characteristic
364	#890	C₂³	1	1	yes	characteristic
365	#889	—	2	1	no	—
366	#889	—	2	1	no	—
367	#889	D₄	1	1	yes	characteristic
368	#889	D₄	1	1	yes	characteristic
369	#888	—	2	1	no	—
370	#888	D₄	1	1	yes	characteristic
371	#888	C₂³	1	1	yes	characteristic
372	#888	C₂³	1	1	yes	characteristic
373	#888	C₂³	1	1	yes	characteristic
374	#888	C₂³	1	1	yes	characteristic
375	#887	—	2	1	no	—
376	#887	—	2	1	no	—
377	#887	—	2	1	no	—
378	#887	C₂³	1	1	yes	characteristic
379	#886	—	2	1	no	—
380	#885	—	2	1	no	—
381	#885	—	2	1	no	—
382	#885	—	2	1	no	—
383	#885	—	2	1	no	—
384	#884	—	2	1	no	—
385	#884	—	2	1	no	—
386	#883	—	2	1	no	—
387	#883	—	2	1	no	—
388	#882	—	2	1	no	—
389	#882	—	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	D₃×C₂²⋊C₄	—	2	1	no	—
396	D₃×C₂²⋊C₄	—	2	1	no	—
397	D₃×C₂²⋊C₄	—	2	1	no	—
398	D₃×C₂²⋊C₄	—	2	1	no	—
399	D₃×C₂²⋊C₄	—	2	1	no	—
400	D₃×C₂²⋊C₄	—	2	1	no	—
401	#879	—	2	1	no	—
402	#879	—	2	1	no	—
403	#878	—	2	1	no	—
404	#878	—	2	1	no	—
405	#878	—	2	1	no	—
406	#878	—	2	1	no	—
407	#878	—	2	1	no	—
408	#878	—	2	1	no	—
409	#878	—	2	1	no	—
410	#877	—	2	1	no	—
411	#876	—	2	1	no	—
412	#875	—	2	1	no	—
413	#875	C₂³	1	1	yes	characteristic
414	#875	C₂³	1	1	yes	characteristic
415	#874	C₂³	1	1	yes	characteristic
416	C₄×D₁₂	—	2	1	no	—
417	C₄×D₁₂	—	2	1	no	—
418	C₄×D₁₂	C₂³	1	1	yes	characteristic
419	C₄×D₁₂	C₂³	1	1	yes	characteristic
420	C₄×D₁₂	C₂³	1	1	yes	characteristic
421	C₄×D₁₂	C₂³	1	1	yes	characteristic
422	C₄×D₁₂	C₂³	1	1	yes	characteristic
423	#872	—	2	1	no	—
424	#872	—	2	1	no	—
425	#872	C₂³	1	1	yes	characteristic
426	#872	C₂³	1	1	yes	characteristic
427	C₄²×D₃	—	2	1	no	—
428	C₄²×D₃	C₂³	1	1	yes	characteristic
429	#870	C₂³	1	1	yes	characteristic
430	#870	C₂³	1	1	yes	characteristic
431	#869	C₂³	1	1	yes	characteristic
432	C₄×Dic₆	—	2	1	no	—
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×#106	C₂³	1	1	yes	characteristic
439	C₃×#106	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×#103	C₂³	1	1	yes	characteristic
448	C₃×#103	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	#835	C₂³	1	1	yes	characteristic
461	#835	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	#821	C₂³	1	1	yes	characteristic
473	#818	C₂³	1	1	yes	characteristic
474	#818	C₂³	1	1	yes	characteristic
475	#817	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	#809	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	#808	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	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
511	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
512	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
513	C₂×AGL(1,ℤ/8)	—	3	1	no	—
514	C₂²×SD₁₆	—	3	1	no	—
515	C₂²×D₈	—	3	1	no	—
516	#559	—	3	1	no	—
517	#559	—	3	1	no	—
518	#559	—	3	1	no	—
519	#559	—	3	1	no	—
520	#556	—	3	1	no	—
521	#556	—	3	1	no	—
522	#556	—	3	1	no	—
523	#556	C₂×D₃	1	1	yes	characteristic, complemented
524	#554	—	3	1	no	—
525	#554	—	3	1	no	—
526	#554	—	3	1	no	—
527	#554	—	3	1	no	—
528	#554	—	3	1	no	—
529	#554	—	6	1	no	—
530	#554	—	6	1	no	—
531	#554	—	6	1	no	—
532	#554	C₂×D₃	1	1	yes	characteristic, complemented
533	#551	—	6	1	no	—
534	#551	—	6	1	no	—
535	#551	—	6	1	no	—
536	#551	—	6	1	no	—
537	D₄×Q₈	—	3	1	no	—
538	D₄×Q₈	—	3	1	no	—
539	D₄×Q₈	—	6	1	no	—
540	#544	—	3	1	no	—
541	#544	—	3	1	no	—
542	#543	—	6	1	no	—
543	#543	—	6	1	no	—
544	#542	—	6	1	no	—
545	#542	—	6	1	no	—
546	#536	—	3	1	no	—
547	#535	—	3	1	no	—
548	#533	—	3	1	no	—
549	#533	—	3	1	no	—
550	#529	—	6	1	no	—
551	#529	—	6	1	no	—
552	C₂×#124	—	3	1	no	—
553	C₂×C₂²⋊Q₈	—	6	1	no	—
554	C₂×C₂²⋊Q₈	—	6	1	no	—
555	#519	—	3	1	no	—
556	#518	—	3	1	no	—
557	#518	—	3	1	no	—
558	#518	—	3	1	no	—
559	C₄×#41	—	3	1	no	—
560	C₂×C₄×D₄	—	3	1	no	—
561	#491	—	3	1	no	—
562	#491	C₂×D₃	1	1	yes	characteristic, complemented
563	#490	—	3	1	no	—
564	#490	—	3	1	no	—
565	#489	—	3	1	no	—
566	#489	—	3	1	no	—
567	#489	—	3	1	no	—
568	#489	—	3	1	no	—
569	#489	—	3	1	no	—
570	#489	—	3	1	no	—
571	#489	—	3	1	no	—
572	#489	C₂×D₃	1	1	yes	characteristic, complemented
573	#488	—	3	1	no	—
574	#488	—	3	1	no	—
575	#488	—	3	1	no	—
576	#488	—	3	1	no	—
577	#488	—	3	1	no	—
578	#488	—	3	1	no	—
579	#488	—	3	1	no	—
580	#488	C₂×D₃	1	1	yes	characteristic, complemented
581	#487	—	3	1	no	—
582	#487	—	3	1	no	—
583	#486	—	3	1	no	—
584	#486	—	3	1	no	—
585	#479	—	3	1	no	—
586	#479	—	3	1	no	—
587	#479	—	3	1	no	—
588	#479	—	3	1	no	—
589	#479	—	3	1	no	—
590	#479	C₂×D₃	1	1	yes	characteristic, complemented
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	C₂×D₃	1	1	yes	characteristic, complemented
597	#477	—	3	1	no	—
598	#477	—	3	1	no	—
599	#477	—	3	1	no	—
600	#476	—	3	1	no	—
601	#476	—	3	1	no	—
602	#476	—	3	1	no	—
603	#475	—	3	1	no	—
604	#475	—	3	1	no	—
605	#475	C₂×D₃	1	1	yes	characteristic, complemented
606	#474	—	3	1	no	—
607	#474	—	3	1	no	—
608	#474	—	3	1	no	—
609	#463	—	3	1	no	—
610	#463	—	3	1	no	—
611	#463	—	3	1	no	—
612	#463	—	3	1	no	—
613	#463	—	3	1	no	—
614	#463	—	3	1	no	—
615	#463	—	3	1	no	—
616	#463	—	3	1	no	—
617	#463	—	3	1	no	—
618	#463	—	3	1	no	—
619	#463	—	3	1	no	—
620	#463	—	3	1	no	—
621	#463	—	3	1	no	—
622	#463	—	3	1	no	—
623	#463	C₂×D₃	1	1	yes	characteristic
624	#463	C₂×D₃	1	1	yes	characteristic
625	#461	—	3	1	no	—
626	#461	—	3	1	no	—
627	#461	—	3	1	no	—
628	#461	C₂×D₃	1	1	yes	characteristic, complemented
629	#459	—	3	1	no	—
630	#459	—	3	1	no	—
631	#459	—	3	1	no	—
632	#459	—	3	1	no	—
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	C₂×D₃	1	1	yes	characteristic, complemented
639	C₈×Q₈	—	3	1	no	—
640	C₈×Q₈	—	3	1	no	—
641	#442	—	3	1	no	—
642	#442	—	3	1	no	—
643	#442	—	3	1	no	—
644	#442	—	3	1	no	—
645	#442	—	3	1	no	—
646	#442	C₂×D₃	1	1	yes	characteristic
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	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
658	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic, complemented
659	C₄×D₈	—	3	1	no	—
660	C₄×D₈	—	3	1	no	—
661	C₄×D₈	—	3	1	no	—
662	C₄×D₈	—	3	1	no	—
663	C₄×D₈	—	3	1	no	—
664	C₄×D₈	—	3	1	no	—
665	#428	—	3	1	no	—
666	#427	—	3	1	no	—
667	#427	—	3	1	no	—
668	#424	—	3	1	no	—
669	#424	—	3	1	no	—
670	C₂×C₄⋊C₈	—	3	1	no	—
671	#419	—	3	1	no	—
672	#419	—	3	1	no	—
673	#418	—	3	1	no	—
674	#418	—	3	1	no	—
675	#418	—	3	1	no	—
676	#417	—	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	C₄×M₁₆	—	3	1	no	—
684	C₂³×D₃	—	2	1	no	—
685	C₂³×D₃	—	2	1	no	—
686	C₂×C₃×Q₈	—	2	1	no	—
687	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
688	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
689	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
690	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
691	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
692	C₂²×C₃×C₄	—	2	1	no	—
693	C₂²×C₃×C₄	—	2	1	no	—
694	C₂²×C₃×C₄	—	2	1	no	—
695	C₂²×C₃×C₄	—	2	1	no	—
696	C₂×#67	—	2	1	no	—
697	C₂×#67	—	2	1	no	—
698	C₂×#67	—	2	1	no	—
699	C₂×#67	—	2	1	no	—
700	C₂²×Dic₃	—	2	1	no	—
701	C₂²×Dic₃	—	2	1	no	—
702	C₂²×Dic₃	—	2	1	no	—
703	C₂²×Dic₃	—	2	1	no	—
704	#239	—	2	2	no	—
705	#239	—	2	2	no	—
706	D₃×Q₈	—	2	2	no	—
707	D₃×Q₈	—	2	2	no	—
708	D₃×Q₈	—	8	2	no	—
709	D₃×D₄	—	2	2	no	—
710	D₃×D₄	—	2	2	no	—
711	D₃×D₄	—	2	2	no	—
712	D₃×D₄	#41	1	4	yes	—
713	C₂×D₁₂	—	2	1	no	—
714	C₂×D₁₂	—	2	1	no	—
715	C₂×D₁₂	—	2	1	no	—
716	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
717	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
718	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
719	C₂×C₄×D₃	—	2	1	no	—
720	C₂×C₄×D₃	—	2	1	no	—
721	C₂×C₄×D₃	—	2	1	no	—
722	C₂×C₄×D₃	—	2	1	no	—
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	—	2	1	no	—
732	C₂×C₄×D₃	—	8	2	no	—
733	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
734	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
735	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
736	C₂×Dic₆	—	2	1	no	—
737	C₂×Dic₆	—	2	1	no	—
738	C₂×Dic₆	—	2	1	no	—
739	C₂×Dic₆	—	2	1	no	—
740	C₂×Dic₆	—	2	1	no	—
741	C₂×Dic₆	—	2	1	no	—
742	C₂×Dic₆	—	8	2	no	—
743	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
744	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
745	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
746	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
747	C₃×SD₁₆	—	2	2	no	—
748	C₃×SD₁₆	—	2	2	no	—
749	C₃×D₈	—	2	2	no	—
750	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
751	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
752	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
753	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
759	C₃×C₄⋊C₄	—	2	1	no	—
760	C₃×C₄⋊C₄	—	2	1	no	—
761	C₃×C₄⋊C₄	—	2	1	no	—
762	C₃×C₄⋊C₄	—	2	1	no	—
763	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
764	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
765	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
766	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
767	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
768	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
769	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
770	C₃×C₂²⋊C₄	—	2	1	no	—
771	C₃×C₂²⋊C₄	—	2	1	no	—
772	C₃×C₂²⋊C₄	—	2	1	no	—
773	C₃×C₂²⋊C₄	—	2	1	no	—
774	C₃×C₂²⋊C₄	—	2	1	no	—
775	C₃×C₂²⋊C₄	—	2	1	no	—
776	C₃×C₂²⋊C₄	—	2	1	no	—
777	C₃×C₂²⋊C₄	—	2	1	no	—
778	C₃×C₄²	—	2	1	no	—
779	C₃×C₄²	—	2	1	no	—
780	C₃×C₄²	C₂⁴	1	1	yes	characteristic
781	C₃×C₄²	C₂⁴	1	1	yes	characteristic
782	C₃×C₄²	C₂⁴	1	1	yes	characteristic
783	#217	—	2	1	no	—
784	#217	—	2	1	no	—
785	#217	—	2	1	no	—
786	#217	—	2	1	no	—
787	#217	—	2	1	no	—
788	#217	—	2	1	no	—
789	#215	—	2	2	no	—
790	#215	—	2	2	no	—
791	#214	—	2	2	no	—
792	#213	—	2	2	no	—
793	#213	—	2	2	no	—
794	#213	—	2	2	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	—	2	1	no	—
801	(C₂×D₃)⋊C₄	—	2	1	no	—
802	(C₂×D₃)⋊C₄	—	2	1	no	—
803	(C₂×D₃)⋊C₄	—	2	1	no	—
804	(C₂×D₃)⋊C₄	—	2	1	no	—
805	(C₂×D₃)⋊C₄	—	2	1	no	—
806	(C₂×D₃)⋊C₄	—	2	1	no	—
807	(C₂×D₃)⋊C₄	—	2	1	no	—
808	(C₂×D₃)⋊C₄	—	2	1	no	—
809	(C₂×D₃)⋊C₄	—	2	1	no	—
810	(C₂×D₃)⋊C₄	—	2	1	no	—
811	(C₂×D₃)⋊C₄	—	2	1	no	—
812	(C₂×D₃)⋊C₄	—	2	1	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	C₂×D₄	1	1	yes	characteristic
819	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
820	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
821	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
822	C₄⋊Dic₃	—	2	1	no	—
823	C₄⋊Dic₃	—	2	1	no	—
824	C₄⋊Dic₃	—	2	1	no	—
825	C₄⋊Dic₃	—	2	1	no	—
826	C₄⋊Dic₃	—	2	1	no	—
827	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
828	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
829	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
830	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
831	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
832	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
833	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
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	—	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	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	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
853	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
854	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
855	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
856	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
857	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
858	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
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	D₂₄	—	2	2	no	—
876	D₂₄	—	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	C₂²×Q₈	—	3	1	no	—
884	C₂²×Q₈	—	6	1	no	—
885	C₂²×Q₈	—	6	1	no	—
886	C₂²×D₄	—	3	1	no	—
887	C₂²×D₄	—	3	1	no	—
888	C₂³×C₄	—	6	1	no	—
889	AGL(1,ℤ/8)	—	6	4	no	—
890	C₂×SD₁₆	—	3	1	no	—
891	C₂×SD₁₆	—	3	1	no	—
892	C₂×SD₁₆	—	3	1	no	—
893	C₂×SD₁₆	—	3	1	no	—
894	C₂×SD₁₆	—	6	4	no	—
895	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
896	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
897	C₂×D₈	—	3	1	no	—
898	C₂×D₈	—	3	1	no	—
899	C₂×D₈	—	3	1	no	—
900	C₂×D₈	—	3	1	no	—
901	C₂×D₈	—	3	1	no	—
902	C₂×D₈	—	6	4	no	—
903	C₂×D₈	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	—	3	1	no	—
909	C₄⋊Q₈	—	3	1	no	—
910	C₄⋊Q₈	—	3	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	—	6	1	no	—
917	C₄⋊Q₈	—	6	1	no	—
918	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
919	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
920	#127	—	3	1	no	—
921	#127	—	3	1	no	—
922	#126	—	2	1	no	—
923	#126	—	2	1	no	—
924	#126	—	6	1	no	—
925	#126	—	6	1	no	—
926	#126	—	6	1	no	—
927	#126	—	6	1	no	—
928	#126	—	6	1	no	—
929	#126	—	6	1	no	—
930	#125	—	3	1	no	—
931	#125	—	3	1	no	—
932	#125	—	3	1	no	—
933	#125	—	3	1	no	—
934	#125	—	3	1	no	—
935	#125	—	3	1	no	—
936	#125	—	6	1	no	—
937	#125	—	6	1	no	—
938	#125	C₂²×D₃	1	1	yes	characteristic
939	#125	C₂²×D₃	1	1	yes	characteristic
940	#124	—	3	1	no	—
941	#124	—	3	1	no	—
942	#124	—	3	1	no	—
943	#124	—	3	1	no	—
944	#124	—	3	1	no	—
945	#124	—	3	1	no	—
946	#124	—	6	1	no	—
947	#124	—	6	1	no	—
948	#124	—	6	1	no	—
949	#124	—	6	1	no	—
950	#124	—	6	1	no	—
951	#124	—	6	1	no	—
952	#124	C₂²×D₃	1	1	yes	characteristic
953	#124	C₂²×D₃	1	1	yes	characteristic
954	#123	—	6	1	no	—
955	#123	—	6	1	no	—
956	#123	—	6	1	no	—
957	#123	—	6	1	no	—
958	#123	—	6	1	no	—
959	#123	—	6	1	no	—
960	#123	—	6	1	no	—
961	#123	—	6	1	no	—
962	#123	—	6	1	no	—
963	#123	—	6	1	no	—
964	C₂²⋊Q₈	—	2	1	no	—
965	C₂²⋊Q₈	—	2	1	no	—
966	C₂²⋊Q₈	—	2	1	no	—
967	C₂²⋊Q₈	—	2	1	no	—
968	C₂²⋊Q₈	—	3	1	no	—
969	C₂²⋊Q₈	—	3	1	no	—
970	C₂²⋊Q₈	—	3	1	no	—
971	C₂²⋊Q₈	—	3	1	no	—
972	C₂²⋊Q₈	—	6	1	no	—
973	C₂²⋊Q₈	—	6	1	no	—
974	C₂²⋊Q₈	—	6	1	no	—
975	C₂²⋊Q₈	—	6	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	—	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	C₂²⋊Q₈	—	6	1	no	—
993	C₂²⋊Q₈	—	6	1	no	—
994	C₂²⋊Q₈	—	6	1	no	—
995	C₂²⋊Q₈	—	6	1	no	—
996	C₂²⋊Q₈	—	6	1	no	—
997	C₂²⋊Q₈	—	6	1	no	—
998	C₂²⋊Q₈	—	6	1	no	—
999	C₂²⋊Q₈	—	6	1	no	—
1000	C₂²⋊Q₈	—	6	1	no	—
1001	C₂²⋊Q₈	—	6	1	no	—
1002	C₂²⋊Q₈	—	6	1	no	—
1003	C₂²⋊Q₈	—	6	1	no	—
1004	#121	—	6	1	no	—
1005	#121	—	6	1	no	—
1006	#120	—	6	1	no	—
1007	#120	—	6	1	no	—
1008	C₄×Q₈	—	3	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	—	6	1	no	—
1016	C₄×Q₈	—	6	1	no	—
1017	C₄×Q₈	—	6	1	no	—
1018	C₄×Q₈	—	6	1	no	—
1019	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1020	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1021	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1022	C₄×D₄	—	3	1	no	—
1023	C₄×D₄	—	3	1	no	—
1024	C₄×D₄	—	3	1	no	—
1025	C₄×D₄	—	3	1	no	—
1026	C₄×D₄	—	3	1	no	—
1027	C₄×D₄	—	3	1	no	—
1028	C₄×D₄	—	3	1	no	—
1029	C₄×D₄	—	3	1	no	—
1030	C₄×D₄	—	3	1	no	—
1031	C₄×D₄	—	3	1	no	—
1032	C₄×D₄	—	3	1	no	—
1033	C₄×D₄	—	3	1	no	—
1034	C₄×D₄	—	3	1	no	—
1035	C₄×D₄	—	3	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	—	6	1	no	—
1046	C₄×D₄	—	6	1	no	—
1047	C₄×D₄	—	6	1	no	—
1048	C₄×D₄	—	6	1	no	—
1049	C₄×D₄	—	6	1	no	—
1050	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1051	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1052	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1053	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1054	#117	—	2	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	C₂×C₄⋊C₄	—	2	1	no	—
1067	C₂×C₄⋊C₄	—	3	1	no	—
1068	C₂×C₄⋊C₄	—	6	1	no	—
1069	C₂×C₄⋊C₄	—	6	1	no	—
1070	C₂×C₄⋊C₄	—	6	1	no	—
1071	C₂×C₄⋊C₄	—	6	1	no	—
1072	C₂×C₄⋊C₄	—	6	1	no	—
1073	C₂×C₂²⋊C₄	—	6	1	no	—
1074	C₂×C₂²⋊C₄	—	6	1	no	—
1075	C₂×C₂²⋊C₄	—	6	1	no	—
1076	C₂×C₂²⋊C₄	—	6	1	no	—
1077	C₂×C₂²⋊C₄	—	6	1	no	—
1078	C₂×C₂²⋊C₄	—	6	1	no	—
1079	C₂×C₂²⋊C₄	—	6	1	no	—
1080	C₂×C₂²⋊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	#106	—	3	1	no	—
1091	#106	—	3	1	no	—
1092	#106	—	3	1	no	—
1093	#106	—	3	1	no	—
1094	#106	C₂²×D₃	1	1	yes	characteristic
1095	#106	C₂²×D₃	1	1	yes	characteristic
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	#103	C₂²×D₃	1	1	yes	characteristic
1125	#103	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1143	#102	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
1153	#97	C₂²×D₃	1	1	yes	characteristic
1154	C₄×C₈	—	3	1	no	—
1155	C₄×C₈	—	3	1	no	—
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	4	no	—
1164	C₂²×D₃	—	2	1	no	—
1165	C₂²×D₃	—	2	1	no	—
1166	C₂²×D₃	—	4	2	no	—
1167	C₂²×D₃	—	8	1	no	—
1168	C₂²×D₃	—	8	1	no	—
1169	C₂²×D₃	—	8	1	no	—
1170	C₂²×D₃	—	8	1	no	—
1171	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1172	C₃×Q₈	—	2	1	no	—
1173	C₃×Q₈	—	2	1	no	—
1174	C₃×Q₈	—	2	1	no	—
1175	C₃×Q₈	—	2	1	no	—
1176	C₃×Q₈	—	4	1	no	—
1177	C₃×Q₈	—	8	1	no	—
1178	C₃×D₄	—	2	1	no	—
1179	C₃×D₄	—	2	1	no	—
1180	C₃×D₄	—	2	1	no	—
1181	C₃×D₄	C₂×#41	1	2	yes	—
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	—	8	1	no	—
1191	C₂×C₃×C₄	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
1197	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1198	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1199	#67	—	2	4	no	—
1200	#67	—	4	2	no	—
1201	#67	—	8	1	no	—
1202	#67	—	8	1	no	—
1203	C₂×Dic₃	—	2	1	no	—
1204	C₂×Dic₃	—	2	1	no	—
1205	C₂×Dic₃	—	2	1	no	—
1206	C₂×Dic₃	—	2	1	no	—
1207	C₂×Dic₃	—	2	1	no	—
1208	C₂×Dic₃	—	4	2	no	—
1209	C₂×Dic₃	—	8	1	no	—
1210	C₂×Dic₃	—	8	1	no	—
1211	C₂×Dic₃	—	8	1	no	—
1212	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1213	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
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	D₁₂	—	2	1	no	—
1220	D₁₂	—	2	1	no	—
1221	D₁₂	—	2	1	no	—
1222	D₁₂	—	2	1	no	—
1223	D₁₂	—	2	1	no	—
1224	D₁₂	—	4	2	no	—
1225	D₁₂	—	8	1	no	—
1226	D₁₂	—	8	1	no	—
1227	D₁₂	C₂×#41	1	2	yes	—
1228	C₄×D₃	—	4	1	no	—
1229	C₄×D₃	—	4	1	no	—
1230	C₄×D₃	—	4	2	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	—	8	1	no	—
1239	C₄×D₃	—	8	1	no	—
1240	C₄×D₃	—	8	1	no	—
1241	C₄×D₃	—	8	1	no	—
1242	C₄×D₃	—	8	1	no	—
1243	C₄×D₃	C₂×#41	1	2	yes	—
1244	C₄×D₃	2₋¹⁺⁴	1	2	yes	—
1245	Dic₆	—	2	1	no	—
1246	Dic₆	—	2	1	no	—
1247	Dic₆	—	4	1	no	—
1248	Dic₆	—	4	1	no	—
1249	Dic₆	—	4	1	no	—
1250	Dic₆	—	4	2	no	—
1251	Dic₆	—	4	2	no	—
1252	Dic₆	—	8	1	no	—
1253	Dic₆	—	8	1	no	—
1254	Dic₆	—	8	1	no	—
1255	Dic₆	—	8	1	no	—
1256	C₃×C₈	—	2	1	no	—
1257	C₃×C₈	—	2	1	no	—
1258	C₃×C₈	—	2	1	no	—
1259	C₃×C₈	—	2	1	no	—
1260	C₃⋊C₈	—	2	1	no	—
1261	C₃⋊C₈	—	2	1	no	—
1262	C₃⋊C₈	—	2	1	no	—
1263	C₃⋊C₈	—	2	1	no	—
1264	C₂⁴	—	6	1	no	—
1265	C₂⁴	—	6	1	no	—
1266	#41	—	6	2	no	—
1267	#41	—	6	2	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	1	no	—
1273	C₂×Q₈	—	6	1	no	—
1274	C₂×Q₈	—	6	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	2	no	—
1280	C₂×Q₈	—	6	1	no	—
1281	C₂×Q₈	—	24	2	no	—
1282	C₂×Q₈	—	24	2	no	—
1283	C₂×Q₈	D₃×D₄	1	1	yes	characteristic
1284	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1285	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1286	C₂×D₄	—	3	4	no	—
1287	C₂×D₄	—	3	1	no	—
1288	C₂×D₄	—	3	1	no	—
1289	C₂×D₄	—	3	1	no	—
1290	C₂×D₄	—	6	1	no	—
1291	C₂×D₄	—	6	2	no	—
1292	C₂×D₄	—	6	2	no	—
1293	C₂×D₄	—	6	2	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	—	2	1	no	—
1305	C₂²×C₄	—	2	1	no	—
1306	C₂²×C₄	—	3	1	no	—
1307	C₂²×C₄	—	3	1	no	—
1308	C₂²×C₄	—	3	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	—	6	1	no	—
1319	C₂²×C₄	—	6	1	no	—
1320	C₂²×C₄	—	6	1	no	—
1321	C₂²×C₄	—	6	1	no	—
1322	C₂²×C₄	—	6	1	no	—
1323	C₂²×C₄	—	6	1	no	—
1324	C₂²×C₄	—	6	1	no	—
1325	C₂²×C₄	—	6	1	no	—
1326	C₂²×C₄	—	24	2	no	—
1327	SD₁₆	—	2	2	no	—
1328	SD₁₆	—	2	2	no	—
1329	SD₁₆	—	6	2	no	—
1330	SD₁₆	—	6	2	no	—
1331	SD₁₆	—	6	2	no	—
1332	SD₁₆	—	6	2	no	—
1333	D₈	—	2	2	no	—
1334	D₈	—	6	2	no	—
1335	D₈	—	6	2	no	—
1336	D₈	—	6	2	no	—
1337	D₈	—	6	2	no	—
1338	D₈	—	6	2	no	—
1339	M₁₆	—	6	2	no	—
1340	M₁₆	—	6	2	no	—
1341	C₂×C₈	—	3	1	no	—
1342	C₂×C₈	—	3	1	no	—
1343	C₂×C₈	—	3	1	no	—
1344	C₂×C₈	—	3	1	no	—
1345	C₂×C₈	—	6	2	no	—
1346	C₂×C₈	—	6	2	no	—
1347	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1348	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1349	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1350	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	—	2	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	—	3	1	no	—
1368	C₄⋊C₄	—	3	1	no	—
1369	C₄⋊C₄	—	3	1	no	—
1370	C₄⋊C₄	—	3	1	no	—
1371	C₄⋊C₄	—	3	1	no	—
1372	C₄⋊C₄	—	3	1	no	—
1373	C₄⋊C₄	—	3	1	no	—
1374	C₄⋊C₄	—	3	1	no	—
1375	C₄⋊C₄	—	3	1	no	—
1376	C₄⋊C₄	—	3	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	D₃×D₄	1	1	yes	characteristic
1398	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1399	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1400	C₄⋊C₄	C₂³×D₃	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	C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
1412	C₂²⋊C₄	—	3	1	no	—
1413	C₂²⋊C₄	—	3	1	no	—
1414	C₂²⋊C₄	—	3	1	no	—
1415	C₂²⋊C₄	—	3	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	C₂²⋊C₄	—	6	1	no	—
1432	C₂²⋊C₄	—	6	1	no	—
1433	C₂²⋊C₄	—	6	1	no	—
1434	C₂²⋊C₄	—	6	1	no	—
1435	C₂²⋊C₄	—	6	1	no	—
1436	C₂²⋊C₄	—	6	1	no	—
1437	C₂²⋊C₄	—	6	1	no	—
1438	C₂²⋊C₄	—	6	1	no	—
1439	C₂²⋊C₄	—	6	1	no	—
1440	C₂²⋊C₄	—	6	1	no	—
1441	C₂²⋊C₄	—	6	1	no	—
1442	C₂²⋊C₄	—	6	1	no	—
1443	C₂²⋊C₄	—	6	1	no	—
1444	C₂²⋊C₄	—	6	1	no	—
1445	C₄²	—	2	1	no	—
1446	C₄²	—	2	1	no	—
1447	C₄²	—	3	1	no	—
1448	C₄²	—	3	1	no	—
1449	C₄²	—	3	1	no	—
1450	C₄²	—	3	1	no	—
1451	C₄²	—	3	1	no	—
1452	C₄²	—	6	1	no	—
1453	C₄²	—	6	1	no	—
1454	C₄²	—	6	1	no	—
1455	C₄²	—	6	1	no	—
1456	C₄²	—	6	1	no	—
1457	C₄²	—	6	1	no	—
1458	C₄²	—	6	1	no	—
1459	C₄²	C₂³×D₃	1	1	yes	characteristic
1460	C₄²	C₂³×D₃	1	1	yes	characteristic
1461	C₄²	C₂³×D₃	1	1	yes	characteristic
1462	C₂²×C₃	—	2	2	no	—
1463	C₂²×C₃	—	4	1	no	—
1464	C₂²×C₃	—	4	1	no	—
1465	C₂²×C₃	—	4	1	no	—
1466	C₂²×C₃	—	4	1	no	—
1467	C₂²×C₃	—	4	1	no	—
1468	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1469	C₂×D₃	—	2	1	no	—
1470	C₂×D₃	—	2	1	no	—
1471	C₂×D₃	—	2	2	no	—
1472	C₂×D₃	—	4	1	no	—
1473	C₂×D₃	—	4	1	no	—
1474	C₂×D₃	—	4	1	no	—
1475	C₂×D₃	—	4	1	no	—
1476	C₂×D₃	—	4	1	no	—
1477	C₂×D₃	—	4	1	no	—
1478	C₂×D₃	—	4	1	no	—
1479	C₂×D₃	—	4	1	no	—
1480	C₂×D₃	—	8	4	no	—
1481	C₂×D₃	—	16	2	no	—
1482	C₂×D₃	#548	1	2	yes	—
1483	C₃×C₄	—	2	1	no	—
1484	C₃×C₄	—	2	1	no	—
1485	C₃×C₄	—	2	1	no	—
1486	C₃×C₄	—	2	1	no	—
1487	C₃×C₄	—	2	1	no	—
1488	C₃×C₄	—	2	1	no	—
1489	C₃×C₄	—	4	1	no	—
1490	C₃×C₄	—	4	1	no	—
1491	C₃×C₄	—	4	1	no	—
1492	C₃×C₄	—	4	1	no	—
1493	C₃×C₄	—	4	1	no	—
1494	C₃×C₄	—	4	1	no	—
1495	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1496	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1497	Dic₃	—	2	1	no	—
1498	Dic₃	—	2	1	no	—
1499	Dic₃	—	2	1	no	—
1500	Dic₃	—	2	1	no	—
1501	Dic₃	—	2	1	no	—
1502	Dic₃	—	2	1	no	—
1503	Dic₃	—	4	1	no	—
1504	Dic₃	—	4	1	no	—
1505	Dic₃	—	4	1	no	—
1506	Dic₃	—	4	1	no	—
1507	Dic₃	—	4	1	no	—
1508	Dic₃	#548	1	2	yes	—
1509	C₂³	—	2	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	—	3	1	no	—
1512	C₂³	—	6	4	no	—
1513	C₂³	—	6	1	no	—
1514	C₂³	—	6	1	no	—
1515	C₂³	—	6	1	no	—
1516	C₂³	—	12	2	no	—
1517	C₂³	—	24	1	no	—
1518	C₂³	—	24	1	no	—
1519	C₂³	—	24	1	no	—
1520	C₂³	—	24	1	no	—
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	4	1	no	—
1526	Q₈	—	6	1	no	—
1527	Q₈	—	6	1	no	—
1528	Q₈	—	8	1	no	—
1529	Q₈	—	12	1	no	—
1530	Q₈	—	12	1	no	—
1531	Q₈	—	12	1	no	—
1532	Q₈	—	12	2	no	—
1533	Q₈	—	12	2	no	—
1534	Q₈	—	24	1	no	—
1535	Q₈	—	24	1	no	—
1536	Q₈	—	24	1	no	—
1537	Q₈	—	24	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	3	2	no	—
1542	D₄	—	6	4	no	—
1543	D₄	—	6	1	no	—
1544	D₄	—	6	1	no	—
1545	D₄	—	6	1	no	—
1546	D₄	—	6	1	no	—
1547	D₄	—	6	1	no	—
1548	D₄	—	12	2	no	—
1549	D₄	—	12	2	no	—
1550	D₄	—	24	1	no	—
1551	D₄	—	24	1	no	—
1552	D₄	—	24	1	no	—
1553	D₄	—	24	1	no	—
1554	D₄	D₃×#41	1	2	yes	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	3	1	no	—
1562	C₂×C₄	—	3	2	no	—
1563	C₂×C₄	—	3	2	no	—
1564	C₂×C₄	—	3	1	no	—
1565	C₂×C₄	—	3	1	no	—
1566	C₂×C₄	—	3	1	no	—
1567	C₂×C₄	—	3	1	no	—
1568	C₂×C₄	—	3	1	no	—
1569	C₂×C₄	—	3	1	no	—
1570	C₂×C₄	—	6	1	no	—
1571	C₂×C₄	—	6	1	no	—
1572	C₂×C₄	—	6	1	no	—
1573	C₂×C₄	—	6	1	no	—
1574	C₂×C₄	—	6	1	no	—
1575	C₂×C₄	—	8	1	no	—
1576	C₂×C₄	—	8	1	no	—
1577	C₂×C₄	—	8	1	no	—
1578	C₂×C₄	—	8	1	no	—
1579	C₂×C₄	—	12	1	no	—
1580	C₂×C₄	—	12	1	no	—
1581	C₂×C₄	—	12	2	no	—
1582	C₂×C₄	—	12	2	no	—
1583	C₂×C₄	—	12	2	no	—
1584	C₂×C₄	—	12	2	no	—
1585	C₂×C₄	—	24	1	no	—
1586	C₂×C₄	—	24	1	no	—
1587	C₂×C₄	—	24	1	no	—
1588	C₂×C₄	—	24	1	no	—
1589	C₂×C₄	—	24	1	no	—
1590	C₂×C₄	—	24	1	no	—
1591	C₂×C₄	—	24	1	no	—
1592	C₂×C₄	—	24	1	no	—
1593	C₂×C₄	—	24	1	no	—
1594	C₂×C₄	—	24	1	no	—
1595	C₂×C₄	—	24	1	no	—
1596	C₂×C₄	—	24	1	no	—
1597	C₂×C₄	—	24	1	no	—
1598	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1599	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1600	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1601	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1602	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1603	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1604	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	2	1	no	—
1609	C₈	—	6	1	no	—
1610	C₈	—	6	1	no	—
1611	C₈	—	6	1	no	—
1612	C₈	—	6	1	no	—
1613	C₂×C₃	—	4	2	no	—
1614	C₂×C₃	—	8	1	no	—
1615	C₂×C₃	C₂×#548	1	1	yes	characteristic
1616	C₂×C₃	#3584	1	1	yes	characteristic
1617	C₂×C₃	#3585	1	1	yes	characteristic
1618	D₃	—	2	2	no	—
1619	D₃	—	4	2	no	—
1620	D₃	—	8	1	no	—
1621	D₃	—	8	1	no	—
1622	C₂²	—	2	2	no	—
1623	C₂²	—	3	2	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	6	1	no	—
1630	C₂²	—	6	1	no	—
1631	C₂²	—	6	2	no	—
1632	C₂²	—	12	1	no	—
1633	C₂²	—	12	1	no	—
1634	C₂²	—	12	1	no	—
1635	C₂²	—	12	1	no	—
1636	C₂²	—	12	1	no	—
1637	C₂²	—	12	1	no	—
1638	C₂²	—	12	1	no	—
1639	C₂²	—	12	1	no	—
1640	C₂²	—	24	4	no	—
1641	C₂²	—	48	2	no	—
1642	C₂²	C₂²×D₃×D₄	1	1	yes	characteristic
1643	C₄	—	2	1	no	—
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	3	2	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	6	1	no	—
1657	C₄	—	6	1	no	—
1658	C₄	—	6	1	no	—
1659	C₄	—	6	1	no	—
1660	C₄	—	6	1	no	—
1661	C₄	—	6	1	no	—
1662	C₄	—	12	1	no	—
1663	C₄	—	12	1	no	—
1664	C₄	—	12	1	no	—
1665	C₄	—	12	1	no	—
1666	C₄	—	12	1	no	—
1667	C₄	C₂×D₃×#41	1	1	yes	characteristic
1668	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1669	C₃	#61343	1	1	yes	characteristic, complemented, Sylow
1670	C₂	—	4	2	no	—
1671	C₂	—	6	2	no	—
1672	C₂	—	8	1	no	—
1673	C₂	—	12	2	no	—
1674	C₂	—	24	1	no	—
1675	C₂	—	24	1	no	—
1676	C₂	D₃×#548	1	1	yes	characteristic
1677	C₂	#87199	1	1	yes	characteristic
1678	C₂	#87207	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×#3376	C₂
socle	C₂²×C₃	C₂³×D₄
prime radical	#80536	C₂
hypercenter	#3376	D₃
hypocenter	C₃	#61343
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3376

Complements

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

N	H ≅ G/N	type
1. #86984	C₂	semidirect
2. #86949	C₂	semidirect
3. C₃×#3376	C₂	semidirect
4. #83667	C₂	semidirect
5. #83643	C₂	semidirect
6. #81738	C₂	semidirect
7. #81734	C₂	semidirect
8. #81680	C₂	semidirect
9. #81670	C₂	semidirect
10. #81640	C₂	semidirect
11. #81633	C₂	semidirect
12. #81265	C₂	semidirect
13. #81229	C₂	semidirect
14. #81202	C₂	semidirect
15. #81169	C₂	semidirect
16. #81038	C₂	semidirect
17. #81013	C₂	semidirect
19. D₃×#463	C₂	semidirect
20. #80522	C₂	semidirect
21. #80519	C₂	semidirect
22. #80430	C₂	semidirect
23. #80416	C₂	semidirect
24. #79971	C₂	semidirect
25. #79960	C₂	semidirect
26. #79867	C₂	semidirect
27. #79853	C₂	semidirect
28. #79777	C₂	semidirect
29. #79753	C₂	semidirect
30. C₄×#914	C₂	semidirect
31. #79620	C₂	semidirect
33. C₃×#556	C₂²	semidirect
34. C₃×#554	C₂²	semidirect
38. #5732	C₂²	semidirect
40. #5727	C₂²	semidirect
46. #5690	C₂²	semidirect
47. #5690	C₂²	semidirect
50. #5681	C₂²	semidirect
53. #5671	C₂²	semidirect
62. #5585	C₂²	semidirect
63. #5585	C₂²	semidirect
64. #5579	C₂²	semidirect
68. #5568	C₂²	semidirect
69. #5559	C₂²	semidirect
74. #5539	C₂²	semidirect
75. #5539	C₂²	semidirect
76. D₄×Dic₆	C₂²	semidirect
81. C₃×#491	C₂²	semidirect
82. C₃×#489	C₂²	semidirect
83. C₃×#488	C₂²	semidirect
84. C₃×#479	C₂²	semidirect
85. C₃×#478	C₂²	semidirect
86. C₃×#475	C₂²	semidirect
89. C₃×#461	C₂²	semidirect
90. C₃×#446	C₂²	semidirect
92. C₃×#440	C₂²	semidirect
93. C₃×C₄×SD₁₆	C₂²	semidirect
96. #5165	C₂²	semidirect
97. #5164	C₂²	semidirect
98. #5164	C₂²	semidirect
99. #5162	C₂²	semidirect
103. #5091	C₂²	semidirect
104. #5088	C₂²	semidirect
105. #5083	C₂²	semidirect
106. #5079	C₂²	semidirect
107. #5068	C₂²	semidirect
108. #5068	C₂²	semidirect
109. #5066	C₂²	semidirect
110. #5066	C₂²	semidirect
113. #5056	C₂²	semidirect
114. #5056	C₂²	semidirect
115. C₄×#215	C₂²	semidirect
116. C₄×#215	C₂²	semidirect
117. Q₈×C₃⋊C₈	C₂²	semidirect
118. #5022	C₂²	semidirect
119. #5022	C₂²	semidirect
120. C₄×#214	C₂²	semidirect
122. #5016	C₂²	semidirect
126. C₄×#213	C₂²	semidirect
127. #5008	C₂²	semidirect
128. #4891	C₂²	semidirect
129. #4890	C₂²	semidirect
130. #4889	C₂²	semidirect
132. #4870	C₂²	semidirect
133. #4870	C₂²	semidirect
135. #4869	C₂²	semidirect
138. #4857	C₂²	semidirect
139. #4854	C₂²	semidirect
140. #4847	C₂²	semidirect
141. #4846	C₂²	semidirect
143. #4844	C₂²	semidirect
148. #4831	C₂²	semidirect
149. #4831	C₂²	semidirect
150. #4831	C₂²	semidirect
151. #4829	C₂²	semidirect
154. #4819	C₂²	semidirect
155. #4818	C₂²	semidirect
156. #4817	C₂²	semidirect
163. #4800	C₂²	semidirect
164. #4800	C₂²	semidirect
165. #4799	C₂²	semidirect
166. #4797	C₂²	semidirect
167. #4794	C₂²	semidirect
168. #4794	C₂²	semidirect
169. #4794	C₂²	semidirect
170. #4794	C₂²	semidirect
171. #4793	C₂²	semidirect
172. #4793	C₂²	semidirect
173. #4792	C₂²	semidirect
174. #4791	C₂²	semidirect
175. #4788	C₂²	semidirect
178. #4785	C₂²	semidirect
183. #4766	C₂²	semidirect
184. #4765	C₂²	semidirect
185. #4765	C₂²	semidirect
186. #4764	C₂²	semidirect
187. #4760	C₂²	semidirect
188. #4759	C₂²	semidirect
189. #4758	C₂²	semidirect
192. #4714	C₂²	semidirect
193. #4713	C₂²	semidirect
195. #4710	C₂²	semidirect
198. #4701	C₂²	semidirect
199. #4701	C₂²	semidirect
200. #4697	C₂²	semidirect
201. C₄×D₂₄	C₂²	semidirect
203. C₈×Dic₆	C₂²	semidirect
209. #3376	D₃	semidirect
523. #556	C₂×D₃	semidirect
532. #554	C₂×D₃	semidirect
562. #491	C₂×D₃	semidirect
572. #489	C₂×D₃	semidirect
580. #488	C₂×D₃	semidirect
590. #479	C₂×D₃	semidirect
596. #478	C₂×D₃	semidirect
605. #475	C₂×D₃	semidirect
628. #461	C₂×D₃	semidirect
638. #446	C₂×D₃	semidirect
652. #440	C₂×D₃	semidirect
658. C₄×SD₁₆	C₂×D₃	semidirect
1669. C₃	#61343	semidirect

Maximal subgroups

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

subgroup	index
#86984	2
#86949	2
C₃×#3376	2
#83667	2
#83643	2
#81738	2
#81734	2
#81680	2
#81670	2
#81640	2
#81633	2
#81265	2
#81229	2
#81202	2
#81169	2
#81038	2
#81013	2
#80536	2
D₃×#463	2
#80522	2
#80519	2
#80430	2
#80416	2
#79971	2
#79960	2
#79867	2
#79853	2
#79777	2
#79753	2
C₄×#914	2
#79620	2
#61343	3