Subgroups — #7726776

Order 512.

4888 conjugacy classes of subgroups.

The subgroup lattice has 1396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#50189	C₂	1	2	yes	maximal, complemented
2	#50186	C₂	1	2	yes	maximal, complemented
3	#49597	C₂	1	2	yes	maximal, complemented
4	#49596	C₂	1	2	yes	maximal, complemented
5	#47237	C₂	1	4	yes	maximal, complemented
6	#46470	C₂	1	4	yes	maximal, complemented
7	#44465	C₂	1	2	yes	maximal, complemented
8	#44464	C₂	1	2	yes	maximal, complemented
9	#43965	C₂	1	2	yes	maximal, complemented
10	#43962	C₂	1	2	yes	maximal, complemented
11	#39551	C₂	1	2	yes	maximal, complemented
12	#39543	C₂	1	2	yes	maximal, complemented
13	#39508	C₂	1	2	yes	maximal, complemented
14	#39499	C₂	1	2	yes	maximal, complemented
15	#39267	C₂	1	4	yes	maximal, complemented
16	#37958	C₂	1	4	yes	maximal, complemented
17	#37848	C₂	1	4	yes	maximal, complemented
18	#37442	C₂	1	1	yes	maximal, characteristic, complemented
19	#36988	C₂	1	4	yes	maximal, complemented
20	#36169	C₂	1	4	yes	maximal, complemented
21	#35462	C₂	1	4	yes	maximal, complemented
22	#35079	C₂	1	1	yes	maximal, characteristic, complemented
23	#35050	C₂	1	1	yes	maximal, characteristic
24	C₂×#2561	C₂	1	1	yes	maximal, characteristic, complemented
25	#34380	C₂	1	1	yes	maximal, characteristic, complemented
26	#34233	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2312	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#525	C₂²	1	1	yes	characteristic
29	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
31	#2857	C₂²	1	2	yes	complemented
32	#2855	C₂²	1	4	yes	complemented
33	#2853	C₂²	1	4	yes	complemented
34	#2851	C₂²	1	2	yes	complemented
35	#2849	C₂²	1	2	yes	—
36	#2846	C₂²	1	2	yes	—
37	#2814	C₂²	1	2	yes	complemented
38	#2814	C₂²	1	2	yes	complemented
39	#2808	C₂²	1	4	yes	complemented
40	#2808	C₂²	1	4	yes	complemented
41	#2803	C₂²	1	4	yes	complemented
42	#2803	C₂²	1	4	yes	complemented
43	#2801	C₂²	1	4	yes	complemented
44	#2800	C₂²	1	4	yes	complemented
45	#2798	C₂²	1	4	yes	complemented
46	#2796	C₂²	1	4	yes	complemented
47	#2795	C₂²	1	4	yes	complemented
48	#2793	C₂²	1	4	yes	complemented
49	#2783	C₂²	1	4	yes	complemented
50	#2783	C₂²	1	4	yes	complemented
51	#2777	C₂²	1	4	yes	complemented
52	#2777	C₂²	1	4	yes	complemented
53	#2777	C₂²	1	4	yes	complemented
54	#2775	C₂²	1	4	yes	complemented
55	#2775	C₂²	1	4	yes	complemented
56	#2775	C₂²	1	4	yes	complemented
57	#2773	C₂²	1	4	yes	complemented
58	#2772	C₂²	1	4	yes	complemented
59	#2772	C₂²	1	4	yes	complemented
60	#2759	C₂²	1	4	yes	complemented
61	#2759	C₂²	1	4	yes	complemented
62	#2759	C₂²	1	4	yes	complemented
63	#2754	C₂²	1	4	yes	complemented
64	#2751	C₂²	1	4	yes	complemented
65	#2741	C₂²	1	4	yes	complemented
66	#2737	C₂²	1	4	yes	complemented
67	#2736	C₂²	1	4	yes	—
68	#2735	C₂²	1	4	yes	—
69	#2735	C₂²	1	4	yes	—
70	#2735	C₂²	1	4	yes	—
71	#2731	C₂²	1	4	yes	complemented
72	#2716	C₂²	1	4	yes	complemented
73	#2702	C₂²	1	4	yes	complemented
74	#2700	C₂²	1	4	yes	complemented
75	#2697	C₂²	1	4	yes	—
76	#2685	C₂²	1	4	yes	—
77	#2685	C₂²	1	4	yes	—
78	#2684	C₂²	1	4	yes	—
79	#2667	C₂²	1	2	yes	complemented
80	#2665	C₂²	1	2	yes	complemented
81	#2659	C₂²	1	2	yes	complemented
82	#2639	C₂²	1	2	yes	complemented
83	#2627	C₂²	1	2	yes	complemented
84	#2626	C₂²	1	4	yes	—
85	#2626	C₂²	1	1	yes	characteristic
86	#2626	C₂²	1	1	yes	characteristic
87	#2625	C₂²	1	2	yes	complemented
88	#2622	C₂²	1	4	yes	—
89	#2618	C₂²	1	2	yes	complemented
90	#2617	C₂²	1	1	yes	characteristic
91	#2617	C₂²	1	1	yes	characteristic
92	#2616	C₂²	1	2	yes	complemented
93	#2604	C₂²	1	4	yes	complemented
94	#2604	C₂²	1	4	yes	complemented
95	#2602	C₂²	1	4	yes	complemented
96	#2597	C₂²	1	4	yes	complemented
97	#2596	C₂²	1	4	yes	complemented
98	#2596	C₂²	1	4	yes	complemented
99	#2596	C₂²	1	4	yes	complemented
100	#2594	C₂²	1	4	yes	complemented
101	#2594	C₂²	1	4	yes	complemented
102	#2594	C₂²	1	4	yes	complemented
103	#2592	C₂²	1	4	yes	complemented
104	#2576	C₂²	1	4	yes	complemented
105	#2575	C₂²	1	4	yes	complemented
106	#2573	C₂²	1	4	yes	complemented
107	#2572	C₂²	1	4	yes	complemented
108	#2569	C₂²	1	2	yes	complemented
109	#2561	C₂²	1	2	yes	—
110	#2561	C₂²	1	2	yes	—
111	#2561	C₂²	1	4	yes	—
112	#2561	C₂²	1	2	yes	—
113	#2561	C₂²	1	4	yes	—
114	#2561	C₂²	1	2	yes	—
115	#2561	C₂²	1	2	yes	—
116	#2561	C₂²	1	4	yes	—
117	#2560	C₂²	1	4	yes	complemented
118	#2558	C₂²	1	4	yes	complemented
119	#2549	C₂²	1	2	yes	complemented
120	#2539	C₂²	1	2	yes	—
121	#2534	C₂²	1	4	yes	—
122	#2534	C₂²	1	4	yes	—
123	#2532	C₂²	1	4	yes	complemented
124	#2532	C₂²	1	4	yes	complemented
125	#2532	C₂²	1	4	yes	complemented
126	#2532	C₂²	1	4	yes	complemented
127	#2531	C₂²	1	4	yes	complemented
128	#2529	C₂²	1	4	yes	complemented
129	#2529	C₂²	1	4	yes	complemented
130	#2527	C₂²	1	4	yes	complemented
131	#2526	C₂²	1	4	yes	complemented
132	#2526	C₂²	1	4	yes	complemented
133	#2525	C₂²	1	4	yes	complemented
134	#2519	C₂²	1	4	yes	complemented
135	#2518	C₂²	1	4	yes	complemented
136	#2518	C₂²	1	4	yes	complemented
137	#2516	C₂²	1	4	yes	complemented
138	#2515	C₂²	1	4	yes	complemented
139	#2513	C₂²	1	4	yes	complemented
140	#2510	C₂²	1	4	yes	complemented
141	#2510	C₂²	1	4	yes	complemented
142	#2505	C₂²	1	4	yes	complemented
143	#2493	C₂²	1	4	yes	complemented
144	#2493	C₂²	1	4	yes	complemented
145	#2493	C₂²	1	4	yes	complemented
146	#2488	C₂²	1	4	yes	complemented
147	#2488	C₂²	1	4	yes	complemented
148	#2488	C₂²	1	4	yes	complemented
149	#2486	C₂²	1	2	yes	complemented
150	#2482	C₂²	1	2	yes	—
151	#2482	C₂²	1	4	yes	—
152	#2480	C₂²	1	4	yes	—
153	#2480	C₂²	1	4	yes	—
154	#2480	C₂²	1	4	yes	—
155	#2480	C₂²	1	4	yes	—
156	#2472	C₂²	1	4	yes	—
157	#2472	C₂²	1	4	yes	—
158	#2469	C₂²	1	4	yes	complemented
159	#2469	C₂²	1	4	yes	complemented
160	#2459	C₂²	1	4	yes	complemented
161	#2458	C₂²	1	4	yes	complemented
162	#2442	C₂²	1	2	yes	complemented
163	#2441	C₂²	1	2	yes	complemented
164	#2440	C₂²	1	2	yes	complemented
165	#2439	C₂²	1	2	yes	complemented
166	#2437	C₂²	1	4	yes	—
167	#2419	C₂²	1	4	yes	complemented
168	#2418	C₂²	1	4	yes	—
169	#2418	C₂²	1	4	yes	—
170	#2417	C₂²	1	4	yes	complemented
171	#2412	C₂²	1	4	yes	—
172	#2411	C₂²	1	4	yes	—
173	#2411	C₂²	1	4	yes	—
174	#2409	C₂²	1	2	yes	complemented
175	#2404	C₂²	1	2	yes	—
176	C₂×#397	C₂²	1	1	yes	characteristic
177	C₂×#397	C₂²	1	1	yes	characteristic
178	C₂×#393	C₂²	1	1	yes	characteristic
179	C₂×#393	C₂²	1	1	yes	characteristic
180	#2378	C₂²	1	2	yes	complemented
181	#2378	C₂²	1	2	yes	complemented
182	#2368	C₂²	1	4	yes	complemented
183	#2361	C₂²	1	2	yes	complemented
184	#2360	C₂²	1	2	yes	complemented
185	#2360	C₂²	1	4	yes	complemented
186	#2359	C₂²	1	4	yes	complemented
187	#2358	C₂²	1	4	yes	—
188	#2353	C₂²	1	4	yes	complemented
189	#2353	C₂²	1	2	yes	complemented
190	#2349	C₂²	1	2	yes	complemented
191	#2347	C₂²	1	1	yes	characteristic, complemented
192	#2346	C₂²	1	1	yes	characteristic, complemented
193	#2344	C₂²	1	2	yes	complemented
194	#2343	C₂²	1	4	yes	complemented
195	#2342	C₂²	1	4	yes	—
196	#2341	C₂²	1	1	yes	characteristic, complemented
197	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
198	#2339	C₂²	1	1	yes	characteristic, complemented
199	#2335	C₂²	1	4	yes	complemented
200	#2329	C₂²	1	4	yes	complemented
201	#2329	C₂²	1	4	yes	complemented
202	#2323	C₂²	1	4	yes	complemented
203	#2321	C₂²	1	4	yes	—
204	#2321	C₂²	1	2	yes	—
205	#2321	C₂²	1	2	yes	—
206	#2318	C₂²	1	2	yes	complemented
207	#2316	C₂²	1	2	yes	complemented
208	#2313	C₂²	1	2	yes	complemented
209	#2312	C₂²	1	2	yes	—
210	#2312	C₂²	1	2	yes	—
211	#2312	C₂²	1	4	yes	—
212	#2312	C₂²	1	2	yes	—
213	#2312	C₂²	1	2	yes	—
214	#2312	C₂²	1	2	yes	—
215	#2312	C₂²	1	2	yes	—
216	#2312	C₂²	1	2	yes	—
217	#2312	C₂²	1	2	yes	—
218	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
219	C₄×#123	C₂²	1	4	yes	complemented
220	C₄×#121	C₂²	1	2	yes	complemented
221	C₂×#388	C₂²	1	2	yes	—
222	C₂×#388	C₂²	1	2	yes	—
223	C₂×#388	C₂²	1	4	yes	—
224	C₂×#388	C₂²	1	4	yes	—
225	#2283	C₂²	1	4	yes	complemented
226	#2280	C₂²	1	1	yes	characteristic
227	C₂×#381	C₂²	1	2	yes	—
228	C₂×#380	C₂²	1	1	yes	characteristic
229	C₂×#380	C₂²	1	1	yes	characteristic
230	C₂×#379	C₂²	1	2	yes	—
231	C₂×#379	C₂²	1	2	yes	—
232	#2275	C₂²	1	2	yes	complemented
233	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
234	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂²×#41	C₂³	1	1	yes	characteristic
237	C₂³×Q₈	C₂³	1	1	yes	characteristic
238	C₂⁴×C₄	C₂³	1	1	yes	characteristic
239	C₂⁴×C₄	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
241	C₂×#126	C₂³	1	4	yes	—
242	C₂×#126	C₂³	1	4	yes	—
243	C₂×#125	C₂³	1	2	yes	complemented
244	C₂×#124	C₂³	1	4	yes	—
245	#525	—	2	8	no	—
246	C₂×#123	C₂³	1	2	yes	—
247	C₂×#123	C₂³	1	4	yes	—
248	C₂×#123	C₂³	1	4	yes	—
249	C₂×#123	C₂³	1	4	yes	—
250	C₂×C₂²⋊Q₈	—	2	8	no	—
251	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
252	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
253	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
254	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
258	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
260	C₂×#121	C₂³	1	1	yes	characteristic
261	C₂×#121	C₂³	1	1	yes	characteristic
262	C₂×#120	C₂³	1	2	yes	—
263	C₂×#120	C₂³	1	2	yes	—
264	C₂×#120	C₂³	1	2	yes	—
265	C₂×#120	C₂³	1	4	yes	—
266	C₂×#120	C₂³	1	4	yes	—
267	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
268	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
269	C₂×C₄×D₄	C₂³	1	2	yes	—
270	C₂×C₄×D₄	C₂³	1	2	yes	—
271	C₂×C₄×D₄	C₂³	1	4	yes	—
272	C₂×C₄×D₄	C₂³	1	4	yes	—
273	C₂×C₄×D₄	C₂³	1	2	yes	complemented
274	C₂×#117	C₂³	1	1	yes	characteristic
275	C₂×#117	C₂³	1	4	yes	—
276	C₂×#117	C₂³	1	2	yes	—
277	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
278	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
280	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
281	C₂²×C₂²⋊C₄	—	2	8	no	—
282	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
283	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
285	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
293	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
295	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
296	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
297	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
298	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
299	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
300	C₂²×C₄²	C₂³	1	4	yes	—
301	C₂²×C₄²	C₂³	1	2	yes	—
302	#401	C₂³	1	4	yes	complemented
303	#401	C₂³	1	4	yes	complemented
304	#400	C₂³	1	4	yes	complemented
305	#400	C₂³	1	4	yes	complemented
306	#400	C₂³	1	4	yes	complemented
307	#400	C₂³	1	4	yes	complemented
308	#400	C₂³	1	4	yes	complemented
309	#400	C₂³	1	4	yes	complemented
310	#400	C₂³	1	4	yes	complemented
311	#400	C₂³	1	4	yes	complemented
312	#400	C₂³	1	4	yes	complemented
313	#400	C₂³	1	4	yes	complemented
314	#400	C₂³	1	4	yes	complemented
315	#399	C₂³	1	4	yes	—
316	#399	C₂³	1	2	yes	—
317	#399	C₂³	1	2	yes	—
318	#399	C₂³	1	4	yes	—
319	#399	C₂³	1	4	yes	—
320	#399	C₂³	1	4	yes	—
321	#398	C₂³	1	4	yes	complemented
322	#398	C₂³	1	4	yes	complemented
323	#398	C₂³	1	2	yes	complemented
324	#398	C₂³	1	4	yes	complemented
325	#398	C₂³	1	4	yes	complemented
326	#398	C₂³	1	4	yes	complemented
327	#398	C₂³	1	2	yes	complemented
328	#398	C₂³	1	4	yes	complemented
329	#397	C₂³	1	4	yes	—
330	#397	C₂³	1	2	yes	—
331	#397	C₂³	1	2	yes	—
332	#397	C₂³	1	2	yes	—
333	#397	C₂³	1	4	yes	—
334	#397	C₂³	1	2	yes	—
335	#397	C₂³	1	2	yes	—
336	#397	C₂³	1	2	yes	—
337	#397	C₂³	1	4	yes	—
338	#397	C₂³	1	4	yes	—
339	#397	C₂³	1	4	yes	—
340	#397	C₂³	1	4	yes	—
341	#397	C₂³	1	4	yes	—
342	#397	C₂³	1	4	yes	—
343	#397	C₂³	1	4	yes	—
344	#397	C₂³	1	4	yes	—
345	#397	C₂³	1	4	yes	—
346	#397	C₂³	1	4	yes	—
347	#397	C₂³	1	4	yes	—
348	#397	C₂³	1	4	yes	—
349	#397	C₂³	1	4	yes	—
350	#397	C₂³	1	4	yes	—
351	#397	C₂³	1	4	yes	complemented
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	2	yes	complemented
354	#397	C₂³	1	2	yes	complemented
355	#397	C₂³	1	4	yes	complemented
356	#396	C₂³	1	4	yes	—
357	#396	C₂³	1	4	yes	—
358	#396	C₂³	1	4	yes	—
359	#396	C₂³	1	4	yes	—
360	#396	C₂³	1	4	yes	—
361	#396	C₂³	1	4	yes	—
362	#396	C₂³	1	4	yes	—
363	#396	C₂³	1	4	yes	—
364	#396	C₂³	1	4	yes	—
365	#396	C₂³	1	4	yes	—
366	#396	C₂³	1	4	yes	complemented
367	#396	C₂³	1	4	yes	complemented
368	#395	C₂³	1	2	yes	complemented
369	#395	C₂³	1	4	yes	complemented
370	#395	C₂³	1	2	yes	complemented
371	#395	C₂³	1	4	yes	complemented
372	#394	C₂³	1	4	yes	—
373	#394	C₂³	1	4	yes	—
374	#394	C₂³	1	4	yes	—
375	#394	C₂³	1	4	yes	—
376	#394	C₂³	1	4	yes	—
377	#394	C₂³	1	4	yes	—
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	4	yes	—
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	4	yes	—
384	#394	C₂³	1	4	yes	complemented
385	#393	C₂³	1	2	yes	—
386	#393	C₂³	1	4	yes	—
387	#393	C₂³	1	4	yes	—
388	#393	C₂³	1	2	yes	—
389	#393	C₂³	1	2	yes	—
390	#393	C₂³	1	2	yes	—
391	#393	C₂³	1	2	yes	—
392	#393	C₂³	1	2	yes	—
393	#393	C₂³	1	4	yes	—
394	#393	C₂³	1	4	yes	—
395	#393	C₂³	1	4	yes	—
396	#393	C₂³	1	4	yes	—
397	#393	C₂³	1	4	yes	complemented
398	#393	C₂³	1	2	yes	complemented
399	#393	C₂³	1	2	yes	complemented
400	#392	C₂³	1	2	yes	—
401	#392	C₂³	1	2	yes	—
402	#391	C₂³	1	4	yes	complemented
403	#391	C₂³	1	4	yes	complemented
404	#391	C₂³	1	4	yes	complemented
405	#391	C₂³	1	4	yes	complemented
406	#391	C₂³	1	4	yes	complemented
407	#391	C₂³	1	4	yes	complemented
408	#391	C₂³	1	4	yes	complemented
409	#391	C₂³	1	2	yes	complemented
410	#391	C₂³	1	4	yes	complemented
411	#391	C₂³	1	4	yes	complemented
412	#390	C₂³	1	4	yes	—
413	#390	C₂³	1	4	yes	—
414	#390	C₂³	1	4	yes	—
415	#390	C₂³	1	4	yes	—
416	#390	C₂³	1	4	yes	—
417	#390	C₂³	1	4	yes	—
418	#390	C₂³	1	2	yes	complemented
419	#389	C₂³	1	4	yes	complemented
420	#389	C₂³	1	4	yes	complemented
421	#389	C₂³	1	4	yes	complemented
422	#389	C₂³	1	4	yes	complemented
423	#389	C₂³	1	4	yes	complemented
424	#389	C₂³	1	4	yes	complemented
425	#389	C₂³	1	4	yes	complemented
426	#389	C₂³	1	4	yes	complemented
427	#389	C₂³	1	4	yes	complemented
428	#389	C₂³	1	2	yes	complemented
429	#389	C₂³	1	2	yes	complemented
430	#389	C₂³	1	2	yes	complemented
431	#389	C₂³	1	4	yes	complemented
432	#389	C₂³	1	4	yes	complemented
433	#389	C₂³	1	2	yes	complemented
434	#389	C₂³	1	2	yes	complemented
435	#389	C₂³	1	2	yes	complemented
436	#388	C₂³	1	4	yes	—
437	#388	C₂³	1	4	yes	—
438	#388	C₂³	1	4	yes	—
439	#388	C₂³	1	4	yes	—
440	#388	C₂³	1	4	yes	—
441	#388	C₂³	1	4	yes	—
442	#388	C₂³	1	4	yes	—
443	#388	C₂³	1	4	yes	—
444	#388	C₂³	1	4	yes	—
445	#388	C₂³	1	4	yes	—
446	#388	C₂³	1	4	yes	—
447	#388	C₂³	1	4	yes	—
448	#388	C₂³	1	4	yes	—
449	#388	C₂³	1	4	yes	—
450	#388	C₂³	1	4	yes	—
451	#388	C₂³	1	4	yes	—
452	#388	C₂³	1	4	yes	—
453	#388	C₂³	1	4	yes	—
454	#388	C₂³	1	4	yes	—
455	#388	C₂³	1	4	yes	—
456	#388	C₂³	1	4	yes	—
457	#388	C₂³	1	4	yes	—
458	#388	C₂³	1	4	yes	—
459	#388	C₂³	1	4	yes	—
460	#388	C₂³	1	4	yes	—
461	#388	C₂³	1	4	yes	—
462	#388	C₂³	1	4	yes	—
463	#388	C₂³	1	4	yes	—
464	#388	C₂³	1	4	yes	—
465	#388	C₂³	1	4	yes	—
466	#388	C₂³	1	4	yes	—
467	#388	C₂³	1	4	yes	—
468	#388	C₂³	1	4	yes	—
469	#388	C₂³	1	4	yes	—
470	#388	C₂³	1	4	yes	—
471	#388	C₂³	1	4	yes	—
472	#388	C₂³	1	4	yes	—
473	#388	C₂³	1	4	yes	—
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	—
476	#388	C₂³	1	4	yes	—
477	#388	C₂³	1	4	yes	—
478	#388	C₂³	1	4	yes	—
479	#388	C₂³	1	4	yes	—
480	#388	C₂³	1	4	yes	—
481	#388	C₂³	1	4	yes	—
482	#388	C₂³	1	4	yes	—
483	#388	C₂³	1	4	yes	—
484	#388	C₂³	1	4	yes	—
485	#388	C₂³	1	4	yes	—
486	#388	C₂³	1	4	yes	—
487	#388	C₂³	1	4	yes	—
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	complemented
493	#388	C₂³	1	4	yes	complemented
494	#388	C₂³	1	4	yes	complemented
495	#388	C₂³	1	4	yes	complemented
496	#388	C₂³	1	4	yes	complemented
497	#388	C₂³	1	4	yes	complemented
498	#388	C₂³	1	4	yes	complemented
499	#388	C₂³	1	4	yes	complemented
500	#388	C₂³	1	4	yes	complemented
501	#388	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#387	C₂³	1	4	yes	complemented
510	#387	C₂³	1	4	yes	complemented
511	#387	C₂³	1	4	yes	complemented
512	#387	C₂³	1	4	yes	complemented
513	#387	C₂³	1	4	yes	complemented
514	#387	C₂³	1	4	yes	complemented
515	#387	C₂³	1	4	yes	complemented
516	#387	C₂³	1	4	yes	complemented
517	#387	C₂³	1	4	yes	complemented
518	#387	C₂³	1	4	yes	complemented
519	#387	C₂³	1	4	yes	complemented
520	#387	C₂³	1	4	yes	complemented
521	#387	C₂³	1	4	yes	complemented
522	#387	C₂³	1	4	yes	complemented
523	#387	C₂³	1	4	yes	complemented
524	#387	C₂³	1	4	yes	complemented
525	#387	C₂³	1	4	yes	complemented
526	#387	C₂³	1	4	yes	complemented
527	#387	C₂³	1	4	yes	complemented
528	#387	C₂³	1	4	yes	complemented
529	#387	C₂³	1	4	yes	complemented
530	#387	C₂³	1	4	yes	complemented
531	#387	C₂³	1	4	yes	complemented
532	#386	C₂³	1	4	yes	—
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	4	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	2	yes	—
537	#386	C₂³	1	2	yes	—
538	#386	C₂³	1	4	yes	—
539	#386	C₂³	1	4	yes	—
540	#386	C₂³	1	4	yes	—
541	#386	C₂³	1	4	yes	—
542	#386	C₂³	1	4	yes	—
543	#386	C₂³	1	4	yes	—
544	#386	C₂³	1	4	yes	—
545	#386	C₂³	1	4	yes	—
546	#385	C₂³	1	4	yes	—
547	#385	C₂³	1	4	yes	—
548	#385	C₂³	1	4	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	2	yes	—
551	#385	C₂³	1	2	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	4	yes	—
558	#385	C₂³	1	4	yes	complemented
559	#385	C₂³	1	4	yes	complemented
560	#384	C₂³	1	2	yes	complemented
561	#383	C₂³	1	4	yes	complemented
562	#383	C₂³	1	4	yes	complemented
563	#383	C₂³	1	4	yes	complemented
564	#383	C₂³	1	2	yes	complemented
565	#383	C₂³	1	4	yes	complemented
566	#382	C₂³	1	2	yes	complemented
567	#382	C₂³	1	4	yes	complemented
568	#382	C₂³	1	4	yes	complemented
569	#382	C₂³	1	2	yes	complemented
570	#382	C₂³	1	4	yes	complemented
571	#381	C₂³	1	4	yes	—
572	#381	C₂³	1	4	yes	—
573	#381	C₂³	1	4	yes	—
574	#381	C₂³	1	4	yes	—
575	#381	C₂³	1	4	yes	—
576	#381	C₂³	1	4	yes	—
577	#381	C₂³	1	4	yes	—
578	#381	C₂³	1	2	yes	—
579	#381	C₂³	1	4	yes	complemented
580	#381	C₂³	1	2	yes	complemented
581	#380	C₂³	1	2	yes	—
582	#380	C₂³	1	2	yes	—
583	#380	C₂³	1	2	yes	—
584	#380	C₂³	1	1	yes	characteristic
585	#380	C₂³	1	2	yes	—
586	#380	C₂³	1	2	yes	—
587	#380	C₂³	1	1	yes	characteristic
588	#380	C₂³	1	2	yes	—
589	#380	C₂³	1	1	yes	characteristic
590	#380	C₂³	1	1	yes	characteristic
591	#380	C₂³	1	4	yes	—
592	#380	C₂³	1	4	yes	—
593	#380	C₂³	1	1	yes	characteristic
594	#380	C₂³	1	4	yes	—
595	#380	C₂³	1	1	yes	characteristic
596	#380	C₂³	1	4	yes	—
597	#380	C₂³	1	2	yes	—
598	#380	C₂³	1	4	yes	—
599	#380	C₂³	1	2	yes	complemented
600	#380	C₂³	1	4	yes	complemented
601	#379	C₂³	1	4	yes	—
602	#379	C₂³	1	2	yes	—
603	#379	C₂³	1	4	yes	—
604	#379	C₂³	1	4	yes	—
605	#379	C₂³	1	4	yes	—
606	#379	C₂³	1	4	yes	—
607	#379	C₂³	1	4	yes	—
608	#379	C₂³	1	2	yes	—
609	#379	C₂³	1	2	yes	—
610	#379	C₂³	1	2	yes	—
611	#379	C₂³	1	2	yes	—
612	#379	C₂³	1	4	yes	—
613	#379	C₂³	1	2	yes	—
614	#379	C₂³	1	2	yes	—
615	#379	C₂³	1	4	yes	—
616	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
617	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
618	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
619	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
620	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
621	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
622	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
623	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
624	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
625	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
626	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
627	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
628	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
629	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
630	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
631	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
632	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
633	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
634	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
635	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
636	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
637	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
638	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
639	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
640	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
641	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
642	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
643	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
644	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
645	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
646	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
647	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
648	#376	C₂³	1	4	yes	complemented
649	#376	C₂³	1	2	yes	complemented
650	#376	C₂³	1	4	yes	complemented
651	C₂×#95	C₂³	1	1	yes	characteristic
652	C₂×#95	C₂³	1	2	yes	—
653	C₂×#95	C₂³	1	2	yes	—
654	C₂×#95	C₂³	1	2	yes	—
655	C₂×#95	C₂³	1	1	yes	characteristic
656	C₂×#95	C₂³	1	2	yes	—
657	C₂×#95	C₂³	1	2	yes	—
658	C₂×#95	C₂³	1	2	yes	—
659	C₂×#95	C₂³	1	4	yes	—
660	C₂×#95	C₂³	1	2	yes	complemented
661	C₂⁵	—	2	4	no	—
662	C₂⁵	—	4	2	no	—
663	C₂⁵	—	4	2	no	—
664	C₂⁵	—	4	4	no	—
665	C₂⁵	—	8	2	no	—
666	C₂⁵	C₂⁴	1	1	yes	characteristic
667	C₂⁵	C₂⁴	1	2	yes	—
668	C₂⁵	C₂⁴	1	1	yes	characteristic
669	C₂⁵	C₂⁴	1	1	yes	characteristic
670	C₂⁵	C₂⁴	1	2	yes	—
671	C₂×#41	—	2	4	no	—
672	C₂×#41	—	8	2	no	—
673	C₂²×Q₈	—	2	4	no	—
674	C₂²×Q₈	—	8	2	no	—
675	C₂²×Q₈	C₂⁴	1	2	yes	—
676	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
677	C₂²×Q₈	C₂⁴	1	2	yes	—
678	C₂²×Q₈	C₂⁴	1	4	yes	—
679	C₂²×D₄	C₂⁴	1	2	yes	—
680	C₂²×D₄	C₂⁴	1	2	yes	—
681	C₂²×D₄	C₂⁴	1	1	yes	characteristic
682	C₂²×D₄	C₂⁴	1	2	yes	—
683	C₂²×D₄	C₂⁴	1	4	yes	—
684	C₂²×D₄	C₂⁴	1	4	yes	—
685	C₂³×C₄	—	2	4	no	—
686	C₂³×C₄	—	4	4	no	—
687	C₂³×C₄	—	8	2	no	—
688	C₂³×C₄	#41	1	8	yes	—
689	C₂³×C₄	C₂⁴	1	2	yes	—
690	C₂³×C₄	C₂⁴	1	2	yes	—
691	C₂³×C₄	C₂⁴	1	4	yes	—
692	C₂³×C₄	C₂⁴	1	4	yes	—
693	C₂³×C₄	C₂⁴	1	2	yes	—
694	C₂³×C₄	C₂⁴	1	2	yes	—
695	C₂³×C₄	C₂⁴	1	2	yes	—
696	C₂³×C₄	C₂⁴	1	1	yes	characteristic
697	C₂³×C₄	C₂⁴	1	1	yes	characteristic
698	C₂³×C₄	C₂⁴	1	2	yes	—
699	C₂³×C₄	C₂⁴	1	2	yes	—
700	C₂³×C₄	C₂⁴	1	4	yes	—
701	C₂³×C₄	C₂⁴	1	1	yes	characteristic
702	C₂³×C₄	C₂⁴	1	1	yes	characteristic
703	C₂³×C₄	C₂⁴	1	1	yes	characteristic
704	C₂³×C₄	C₂⁴	1	1	yes	characteristic
705	C₂³×C₄	C₂⁴	1	1	yes	characteristic
706	C₂³×C₄	C₂⁴	1	1	yes	characteristic
707	C₄⋊Q₈	—	8	2	no	—
708	#126	—	8	4	no	—
709	#126	—	8	4	no	—
710	#125	—	8	2	no	—
711	#124	—	8	4	no	—
712	#123	—	2	8	no	—
713	#123	—	4	8	no	—
714	#123	—	4	8	no	—
715	#123	—	8	4	no	—
716	C₂²⋊Q₈	—	2	8	no	—
717	C₂²⋊Q₈	—	2	8	no	—
718	C₂²⋊Q₈	—	2	8	no	—
719	C₂²⋊Q₈	—	2	8	no	—
720	C₂²⋊Q₈	—	2	4	no	—
721	C₂²⋊Q₈	—	2	4	no	—
722	C₂²⋊Q₈	—	4	8	no	—
723	C₂²⋊Q₈	—	4	8	no	—
724	C₂²⋊Q₈	—	8	4	no	—
725	#121	—	2	4	no	—
726	#121	—	2	4	no	—
727	#120	—	2	8	no	—
728	#120	—	4	4	no	—
729	#120	—	4	4	no	—
730	#120	—	4	8	no	—
731	#120	—	8	4	no	—
732	C₄×Q₈	—	8	2	no	—
733	C₄×Q₈	—	8	4	no	—
734	C₄×D₄	—	2	8	no	—
735	C₄×D₄	—	2	8	no	—
736	C₄×D₄	—	4	8	no	—
737	C₄×D₄	—	4	8	no	—
738	C₄×D₄	—	8	2	no	—
739	#117	—	2	4	no	—
740	#117	—	4	8	no	—
741	#117	—	8	2	no	—
742	C₂×C₄⋊C₄	—	2	4	no	—
743	C₂×C₄⋊C₄	—	2	8	no	—
744	C₂×C₄⋊C₄	—	8	2	no	—
745	C₂×C₄⋊C₄	—	8	2	no	—
746	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
753	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
759	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
778	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
784	C₂×C₂²⋊C₄	—	2	8	no	—
785	C₂×C₂²⋊C₄	—	2	8	no	—
786	C₂×C₂²⋊C₄	—	2	8	no	—
787	C₂×C₂²⋊C₄	—	2	4	no	—
788	C₂×C₂²⋊C₄	—	2	4	no	—
789	C₂×C₂²⋊C₄	—	2	4	no	—
790	C₂×C₂²⋊C₄	—	2	4	no	—
791	C₂×C₂²⋊C₄	—	2	8	no	—
792	C₂×C₂²⋊C₄	—	2	8	no	—
793	C₂×C₂²⋊C₄	—	4	4	no	—
794	C₂×C₂²⋊C₄	—	4	4	no	—
795	C₂×C₂²⋊C₄	—	4	4	no	—
796	C₂×C₂²⋊C₄	—	4	4	no	—
797	C₂×C₂²⋊C₄	—	4	4	no	—
798	C₂×C₂²⋊C₄	—	4	8	no	—
799	C₂×C₂²⋊C₄	—	8	2	no	—
800	C₂×C₂²⋊C₄	—	8	4	no	—
801	C₂×C₂²⋊C₄	—	8	2	no	—
802	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₄²	—	4	8	no	—
863	C₂×C₄²	—	8	2	no	—
864	C₂×C₄²	C₂⁴	1	2	yes	—
865	C₂×C₄²	C₂⁴	1	4	yes	—
866	C₂×C₄²	C₂⁴	1	4	yes	—
867	C₂×C₄²	C₂⁴	1	4	yes	—
868	C₂×C₄²	C₂⁴	1	4	yes	—
869	C₂×C₄²	C₂⁴	1	4	yes	—
870	C₂×C₄²	C₂⁴	1	2	yes	—
871	C₂×C₄²	C₂⁴	1	4	yes	—
872	C₂×C₄²	C₂⁴	1	4	yes	—
873	C₂×C₄²	C₂⁴	1	4	yes	—
874	C₂×C₄²	C₂⁴	1	2	yes	—
875	C₂×C₄²	C₂⁴	1	2	yes	—
876	C₂×C₄²	C₂⁴	1	2	yes	—
877	C₂×C₄²	C₂⁴	1	4	yes	—
878	C₂×C₄²	C₂⁴	1	4	yes	—
879	C₂×C₄²	C₂⁴	1	4	yes	—
880	C₂×C₄²	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	1	yes	characteristic
882	#95	C₂⁴	1	2	yes	—
883	#95	C₂⁴	1	1	yes	characteristic
884	#95	C₂⁴	1	4	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	1	yes	characteristic
887	#95	C₂⁴	1	1	yes	characteristic
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	#95	C₂⁴	1	2	yes	—
891	#95	C₂⁴	1	4	yes	—
892	#95	C₂⁴	1	4	yes	—
893	#95	C₂⁴	1	2	yes	—
894	#95	C₂⁴	1	2	yes	—
895	#95	C₂⁴	1	4	yes	—
896	#95	C₂⁴	1	4	yes	—
897	#95	C₂⁴	1	4	yes	—
898	#95	C₂⁴	1	2	yes	—
899	#95	C₂⁴	1	4	yes	—
900	#95	C₂⁴	1	2	yes	—
901	#95	C₂⁴	1	4	yes	—
902	#95	C₂⁴	1	4	yes	—
903	#95	C₂⁴	1	4	yes	—
904	#95	C₂⁴	1	4	yes	—
905	#95	C₂⁴	1	4	yes	—
906	#95	C₂⁴	1	4	yes	—
907	#95	C₂⁴	1	4	yes	—
908	#95	C₂⁴	1	4	yes	—
909	#95	C₂⁴	1	4	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	4	yes	—
912	#95	C₂⁴	1	4	yes	—
913	#95	C₂⁴	1	4	yes	—
914	#95	C₂⁴	1	2	yes	—
915	#95	C₂⁴	1	2	yes	—
916	#95	C₂⁴	1	4	yes	—
917	#95	C₂⁴	1	4	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	4	yes	—
921	#95	C₂⁴	1	4	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	4	yes	—
926	#95	C₂⁴	1	4	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	C₂⁴	—	2	2	no	—
941	C₂⁴	—	2	2	no	—
942	C₂⁴	—	2	4	no	—
943	C₂⁴	—	2	4	no	—
944	C₂⁴	—	2	2	no	—
945	C₂⁴	—	2	2	no	—
946	C₂⁴	—	2	4	no	—
947	C₂⁴	—	2	2	no	—
948	C₂⁴	—	2	2	no	—
949	C₂⁴	—	2	8	no	—
950	C₂⁴	—	2	2	no	—
951	C₂⁴	—	2	2	no	—
952	C₂⁴	—	4	2	no	—
953	C₂⁴	—	4	2	no	—
954	C₂⁴	—	4	2	no	—
955	C₂⁴	—	4	4	no	—
956	C₂⁴	—	4	2	no	—
957	C₂⁴	—	4	2	no	—
958	C₂⁴	—	4	2	no	—
959	C₂⁴	—	4	2	no	—
960	C₂⁴	—	4	2	no	—
961	C₂⁴	—	4	2	no	—
962	C₂⁴	—	4	4	no	—
963	C₂⁴	—	4	4	no	—
964	C₂⁴	—	4	16	no	—
965	C₂⁴	—	8	8	no	—
966	C₂⁴	—	8	8	no	—
967	C₂⁴	—	8	16	no	—
968	C₂⁴	—	8	16	no	—
969	C₂⁴	C₂×#41	1	4	yes	—
970	C₂⁴	C₂⁵	1	2	yes	—
971	C₂⁴	C₂⁵	1	2	yes	—
972	C₂⁴	C₂⁵	1	2	yes	—
973	C₂⁴	C₂⁵	1	1	yes	characteristic
974	C₂⁴	C₂⁵	1	1	yes	characteristic
975	C₂⁴	C₂⁵	1	1	yes	characteristic
976	#41	—	8	8	no	—
977	C₂×Q₈	—	2	4	no	—
978	C₂×Q₈	—	2	2	no	—
979	C₂×Q₈	—	2	4	no	—
980	C₂×Q₈	—	4	4	no	—
981	C₂×Q₈	—	4	2	no	—
982	C₂×Q₈	—	4	4	no	—
983	C₂×Q₈	—	4	4	no	—
984	C₂×Q₈	—	4	4	no	—
985	C₂×Q₈	—	4	4	no	—
986	C₂×Q₈	—	8	8	no	—
987	C₂×D₄	—	2	4	no	—
988	C₂×D₄	—	2	4	no	—
989	C₂×D₄	—	2	4	no	—
990	C₂×D₄	—	2	8	no	—
991	C₂×D₄	—	2	4	no	—
992	C₂×D₄	—	2	4	no	—
993	C₂×D₄	—	2	2	no	—
994	C₂×D₄	—	4	2	no	—
995	C₂×D₄	—	4	4	no	—
996	C₂×D₄	—	4	4	no	—
997	C₂×D₄	—	4	4	no	—
998	C₂×D₄	—	4	4	no	—
999	C₂×D₄	—	4	4	no	—
1000	C₂×D₄	—	4	4	no	—
1001	C₂×D₄	—	4	4	no	—
1002	C₂²×C₄	—	2	4	no	—
1003	C₂²×C₄	—	2	4	no	—
1004	C₂²×C₄	—	2	8	no	—
1005	C₂²×C₄	—	2	4	no	—
1006	C₂²×C₄	—	2	4	no	—
1007	C₂²×C₄	—	2	4	no	—
1008	C₂²×C₄	—	2	2	no	—
1009	C₂²×C₄	—	2	2	no	—
1010	C₂²×C₄	—	2	4	no	—
1011	C₂²×C₄	—	2	8	no	—
1012	C₂²×C₄	—	2	8	no	—
1013	C₂²×C₄	—	2	4	no	—
1014	C₂²×C₄	—	2	4	no	—
1015	C₂²×C₄	—	2	4	no	—
1016	C₂²×C₄	—	4	2	no	—
1017	C₂²×C₄	—	4	2	no	—
1018	C₂²×C₄	—	4	2	no	—
1019	C₂²×C₄	—	4	2	no	—
1020	C₂²×C₄	—	4	2	no	—
1021	C₂²×C₄	—	4	2	no	—
1022	C₂²×C₄	—	4	2	no	—
1023	C₂²×C₄	—	4	2	no	—
1024	C₂²×C₄	—	4	2	no	—
1025	C₂²×C₄	—	4	4	no	—
1026	C₂²×C₄	—	4	4	no	—
1027	C₂²×C₄	—	4	2	no	—
1028	C₂²×C₄	—	4	4	no	—
1029	C₂²×C₄	—	4	4	no	—
1030	C₂²×C₄	—	4	2	no	—
1031	C₂²×C₄	—	4	2	no	—
1032	C₂²×C₄	—	4	4	no	—
1033	C₂²×C₄	—	4	2	no	—
1034	C₂²×C₄	—	4	2	no	—
1035	C₂²×C₄	—	4	4	no	—
1036	C₂²×C₄	—	4	4	no	—
1037	C₂²×C₄	—	4	4	no	—
1038	C₂²×C₄	—	4	4	no	—
1039	C₂²×C₄	—	8	8	no	—
1040	C₂²×C₄	—	8	8	no	—
1041	C₂²×C₄	C₂×#41	1	4	yes	—
1042	C₂²×C₄	C₂×#41	1	4	yes	—
1043	C₂²×C₄	C₂×#41	1	4	yes	—
1044	C₂²×C₄	C₂×#41	1	4	yes	—
1045	C₂²×C₄	C₂×#41	1	4	yes	—
1046	C₂²×C₄	C₂×#41	1	4	yes	—
1047	C₂²×C₄	C₂⁵	1	2	yes	—
1048	C₂²×C₄	C₂⁵	1	2	yes	—
1049	C₂²×C₄	C₂⁵	1	2	yes	—
1050	C₂²×C₄	C₂⁵	1	2	yes	—
1051	C₂²×C₄	C₂⁵	1	4	yes	—
1052	C₂²×C₄	C₂⁵	1	2	yes	—
1053	C₂²×C₄	C₂⁵	1	2	yes	—
1054	C₂²×C₄	C₂⁵	1	4	yes	—
1055	C₂²×C₄	C₂⁵	1	4	yes	—
1056	C₂²×C₄	C₂⁵	1	4	yes	—
1057	C₂²×C₄	C₂⁵	1	4	yes	—
1058	C₂²×C₄	C₂⁵	1	2	yes	—
1059	C₂²×C₄	C₂⁵	1	2	yes	—
1060	C₂²×C₄	C₂⁵	1	4	yes	—
1061	C₂²×C₄	C₂⁵	1	4	yes	—
1062	C₂²×C₄	C₂⁵	1	4	yes	—
1063	C₂²×C₄	C₂⁵	1	2	yes	—
1064	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1065	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1066	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1067	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1068	C₄⋊C₄	—	2	4	no	—
1069	C₄⋊C₄	—	2	4	no	—
1070	C₄⋊C₄	—	2	8	no	—
1071	C₄⋊C₄	—	2	8	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	4	no	—
1075	C₄⋊C₄	—	2	4	no	—
1076	C₄⋊C₄	—	4	2	no	—
1077	C₄⋊C₄	—	4	2	no	—
1078	C₄⋊C₄	—	4	4	no	—
1079	C₄⋊C₄	—	4	4	no	—
1080	C₄⋊C₄	—	4	2	no	—
1081	C₄⋊C₄	—	4	2	no	—
1082	C₄⋊C₄	—	4	4	no	—
1083	C₄⋊C₄	—	4	4	no	—
1084	C₄⋊C₄	—	4	2	no	—
1085	C₄⋊C₄	—	4	2	no	—
1086	C₄⋊C₄	—	4	4	no	—
1087	C₄⋊C₄	—	4	4	no	—
1088	C₄⋊C₄	—	4	4	no	—
1089	C₄⋊C₄	—	4	4	no	—
1090	C₄⋊C₄	—	4	4	no	—
1091	C₄⋊C₄	—	4	4	no	—
1092	C₄⋊C₄	—	4	4	no	—
1093	C₄⋊C₄	—	4	4	no	—
1094	C₄⋊C₄	—	4	4	no	—
1095	C₄⋊C₄	—	4	4	no	—
1096	C₄⋊C₄	—	4	4	no	—
1097	C₄⋊C₄	—	4	4	no	—
1098	C₄⋊C₄	—	4	4	no	—
1099	C₄⋊C₄	—	4	4	no	—
1100	C₄⋊C₄	—	4	4	no	—
1101	C₄⋊C₄	—	4	4	no	—
1102	C₄⋊C₄	—	4	4	no	—
1103	C₄⋊C₄	—	4	4	no	—
1104	C₄⋊C₄	—	4	4	no	—
1105	C₄⋊C₄	—	4	4	no	—
1106	C₂²⋊C₄	—	2	8	no	—
1107	C₂²⋊C₄	—	2	8	no	—
1108	C₂²⋊C₄	—	2	4	no	—
1109	C₂²⋊C₄	—	2	4	no	—
1110	C₂²⋊C₄	—	2	4	no	—
1111	C₂²⋊C₄	—	2	8	no	—
1112	C₂²⋊C₄	—	2	4	no	—
1113	C₂²⋊C₄	—	2	4	no	—
1114	C₂²⋊C₄	—	2	8	no	—
1115	C₂²⋊C₄	—	2	4	no	—
1116	C₂²⋊C₄	—	2	4	no	—
1117	C₂²⋊C₄	—	2	8	no	—
1118	C₂²⋊C₄	—	2	4	no	—
1119	C₂²⋊C₄	—	2	4	no	—
1120	C₂²⋊C₄	—	2	4	no	—
1121	C₂²⋊C₄	—	2	4	no	—
1122	C₂²⋊C₄	—	2	4	no	—
1123	C₂²⋊C₄	—	2	4	no	—
1124	C₂²⋊C₄	—	2	4	no	—
1125	C₂²⋊C₄	—	2	4	no	—
1126	C₂²⋊C₄	—	2	4	no	—
1127	C₂²⋊C₄	—	2	4	no	—
1128	C₂²⋊C₄	—	4	4	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	2	no	—
1131	C₂²⋊C₄	—	4	2	no	—
1132	C₂²⋊C₄	—	4	4	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₂²⋊C₄	—	4	4	no	—
1136	C₂²⋊C₄	—	4	2	no	—
1137	C₂²⋊C₄	—	4	2	no	—
1138	C₂²⋊C₄	—	4	2	no	—
1139	C₂²⋊C₄	—	4	2	no	—
1140	C₂²⋊C₄	—	4	4	no	—
1141	C₂²⋊C₄	—	4	4	no	—
1142	C₂²⋊C₄	—	4	4	no	—
1143	C₂²⋊C₄	—	4	4	no	—
1144	C₂²⋊C₄	—	4	4	no	—
1145	C₂²⋊C₄	—	4	4	no	—
1146	C₂²⋊C₄	—	4	4	no	—
1147	C₂²⋊C₄	—	4	4	no	—
1148	C₂²⋊C₄	—	4	4	no	—
1149	C₂²⋊C₄	—	4	4	no	—
1150	C₂²⋊C₄	—	4	4	no	—
1151	C₂²⋊C₄	—	4	4	no	—
1152	C₂²⋊C₄	—	4	4	no	—
1153	C₂²⋊C₄	—	4	4	no	—
1154	C₂²⋊C₄	—	4	4	no	—
1155	C₂²⋊C₄	—	4	4	no	—
1156	C₂²⋊C₄	—	4	4	no	—
1157	C₂²⋊C₄	—	4	4	no	—
1158	C₂²⋊C₄	—	4	4	no	—
1159	C₂²⋊C₄	—	4	4	no	—
1160	C₂²⋊C₄	—	4	4	no	—
1161	C₂²⋊C₄	—	4	4	no	—
1162	C₂²⋊C₄	—	4	4	no	—
1163	C₂²⋊C₄	—	4	4	no	—
1164	C₂²⋊C₄	—	4	4	no	—
1165	C₂²⋊C₄	—	4	4	no	—
1166	C₄²	—	2	4	no	—
1167	C₄²	—	4	4	no	—
1168	C₄²	—	4	4	no	—
1169	C₄²	—	4	4	no	—
1170	C₄²	—	4	4	no	—
1171	C₄²	—	4	2	no	—
1172	C₄²	—	4	2	no	—
1173	C₄²	—	4	2	no	—
1174	C₄²	—	4	2	no	—
1175	C₄²	—	4	4	no	—
1176	C₄²	—	4	4	no	—
1177	C₄²	—	4	4	no	—
1178	C₄²	—	4	4	no	—
1179	C₄²	—	4	4	no	—
1180	C₄²	—	4	4	no	—
1181	C₄²	—	4	4	no	—
1182	C₄²	—	4	4	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	2	no	—
1186	C₂³	—	2	2	no	—
1187	C₂³	—	2	2	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	2	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	8	no	—
1193	C₂³	—	2	8	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	4	no	—
1201	C₂³	—	2	4	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	2	no	—
1205	C₂³	—	2	2	no	—
1206	C₂³	—	2	4	no	—
1207	C₂³	—	2	4	no	—
1208	C₂³	—	2	4	no	—
1209	C₂³	—	4	4	no	—
1210	C₂³	—	4	8	no	—
1211	C₂³	—	4	8	no	—
1212	C₂³	—	4	8	no	—
1213	C₂³	—	4	8	no	—
1214	C₂³	—	4	8	no	—
1215	C₂³	—	4	8	no	—
1216	C₂³	—	4	8	no	—
1217	C₂³	—	4	4	no	—
1218	C₂³	—	4	4	no	—
1219	C₂³	—	4	8	no	—
1220	C₂³	—	8	2	no	—
1221	C₂³	—	8	2	no	—
1222	C₂³	—	8	2	no	—
1223	C₂³	—	8	2	no	—
1224	C₂³	—	8	8	no	—
1225	C₂³	—	8	8	no	—
1226	C₂³	—	8	4	no	—
1227	C₂³	—	8	4	no	—
1228	C₂³	—	8	4	no	—
1229	C₂³	—	8	4	no	—
1230	C₂³	—	8	8	no	—
1231	C₂³	—	8	8	no	—
1232	C₂³	—	8	64	no	—
1233	C₂³	C₂²×#41	1	2	yes	—
1234	C₂³	C₂²×#41	1	2	yes	—
1235	C₂³	C₂²×#41	1	2	yes	—
1236	C₂³	#585	1	2	yes	—
1237	C₂³	#585	1	2	yes	—
1238	C₂³	#585	1	4	yes	—
1239	C₂³	C₂⁶	1	1	yes	characteristic
1240	Q₈	—	4	8	no	—
1241	Q₈	—	4	4	no	—
1242	Q₈	—	8	4	no	—
1243	Q₈	—	16	4	no	—
1244	D₄	—	4	4	no	—
1245	D₄	—	4	8	no	—
1246	D₄	—	4	8	no	—
1247	D₄	—	8	4	no	—
1248	D₄	—	16	4	no	—
1249	D₄	—	16	4	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	4	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	4	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	4	no	—
1267	C₂×C₄	—	2	4	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	4	no	—
1272	C₂×C₄	—	2	4	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	4	no	—
1275	C₂×C₄	—	2	4	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	4	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	4	no	—
1281	C₂×C₄	—	2	2	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	4	no	—
1284	C₂×C₄	—	2	2	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	4	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	2	no	—
1292	C₂×C₄	—	2	4	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	4	no	—
1295	C₂×C₄	—	2	4	no	—
1296	C₂×C₄	—	2	4	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	4	4	no	—
1302	C₂×C₄	—	4	4	no	—
1303	C₂×C₄	—	4	4	no	—
1304	C₂×C₄	—	4	4	no	—
1305	C₂×C₄	—	4	4	no	—
1306	C₂×C₄	—	4	4	no	—
1307	C₂×C₄	—	4	8	no	—
1308	C₂×C₄	—	4	8	no	—
1309	C₂×C₄	—	8	4	no	—
1310	C₂×C₄	—	8	8	no	—
1311	C₂×C₄	—	8	4	no	—
1312	C₂×C₄	—	8	8	no	—
1313	C₂×C₄	—	8	4	no	—
1314	C₂×C₄	—	8	2	no	—
1315	C₂×C₄	—	8	2	no	—
1316	C₂×C₄	—	8	4	no	—
1317	C₂×C₄	—	8	4	no	—
1318	C₂×C₄	—	16	4	no	—
1319	C₂×C₄	C₂²×#41	1	2	yes	—
1320	C₂×C₄	C₂²×#41	1	2	yes	—
1321	C₂×C₄	C₂²×#41	1	2	yes	—
1322	C₂×C₄	C₂²×#41	1	2	yes	—
1323	C₂²	—	2	2	no	—
1324	C₂²	—	2	2	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	2	no	—
1327	C₂²	—	2	4	no	—
1328	C₂²	—	2	4	no	—
1329	C₂²	—	2	4	no	—
1330	C₂²	—	2	4	no	—
1331	C₂²	—	2	2	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	2	2	no	—
1334	C₂²	—	4	16	no	—
1335	C₂²	—	4	2	no	—
1336	C₂²	—	4	2	no	—
1337	C₂²	—	4	2	no	—
1338	C₂²	—	4	2	no	—
1339	C₂²	—	4	2	no	—
1340	C₂²	—	4	2	no	—
1341	C₂²	—	4	2	no	—
1342	C₂²	—	4	2	no	—
1343	C₂²	—	4	2	no	—
1344	C₂²	—	4	2	no	—
1345	C₂²	—	4	2	no	—
1346	C₂²	—	4	4	no	—
1347	C₂²	—	4	4	no	—
1348	C₂²	—	4	4	no	—
1349	C₂²	—	4	4	no	—
1350	C₂²	—	4	4	no	—
1351	C₂²	—	4	4	no	—
1352	C₂²	—	8	8	no	—
1353	C₂²	—	8	8	no	—
1354	C₂²	—	8	16	no	—
1355	C₂²	—	8	16	no	—
1356	C₂²	#3493	1	4	yes	—
1357	C₂²	#3510	1	4	yes	—
1358	C₂²	C₂³×#41	1	1	yes	characteristic
1359	C₂²	C₂×#585	1	1	yes	characteristic
1360	C₂²	C₂×#585	1	1	yes	characteristic
1361	C₂²	C₂×#585	1	2	yes	—
1362	C₂²	H(7,𝔽₂)	1	2	yes	—
1363	C₄	—	2	2	no	—
1364	C₄	—	2	2	no	—
1365	C₄	—	2	2	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	4	4	no	—
1368	C₄	—	4	2	no	—
1369	C₄	—	4	2	no	—
1370	C₄	—	4	2	no	—
1371	C₄	—	4	2	no	—
1372	C₄	—	4	2	no	—
1373	C₄	—	4	4	no	—
1374	C₄	—	4	2	no	—
1375	C₄	—	4	4	no	—
1376	C₄	—	4	4	no	—
1377	C₄	—	4	2	no	—
1378	C₄	—	4	4	no	—
1379	C₄	—	4	2	no	—
1380	C₄	—	4	4	no	—
1381	C₄	—	4	2	no	—
1382	C₄	—	4	4	no	—
1383	C₄	—	4	4	no	—
1384	C₂	—	2	4	no	—
1385	C₂	—	2	4	no	—
1386	C₂	—	4	2	no	—
1387	C₂	—	8	2	no	—
1388	C₂	—	8	2	no	—
1389	C₂	—	8	2	no	—
1390	C₂	C₂×#3493	1	1	yes	characteristic
1391	C₂	C₂×#3510	1	1	yes	characteristic
1392	C₂	#62844	1	1	yes	characteristic
1393	C₂	#62906	1	2	yes	—
1394	C₂	#62906	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#35050	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #50189	C₂	semidirect
2. #50186	C₂	semidirect
3. #49597	C₂	semidirect
4. #49596	C₂	semidirect
5. #47237	C₂	semidirect
6. #46470	C₂	semidirect
7. #44465	C₂	semidirect
8. #44464	C₂	semidirect
9. #43965	C₂	semidirect
10. #43962	C₂	semidirect
11. #39551	C₂	semidirect
12. #39543	C₂	semidirect
13. #39508	C₂	semidirect
14. #39499	C₂	semidirect
15. #39267	C₂	semidirect
16. #37958	C₂	semidirect
17. #37848	C₂	semidirect
18. #37442	C₂	semidirect
19. #36988	C₂	semidirect
20. #36169	C₂	semidirect
21. #35462	C₂	semidirect
22. #35079	C₂	semidirect
24. C₂×#2561	C₂	semidirect
25. #34380	C₂	semidirect
26. #34233	C₂	semidirect
27. C₂×#2312	C₂	semidirect
31. #2857	C₂²	semidirect
32. #2855	C₂²	semidirect
33. #2853	C₂²	semidirect
34. #2851	C₂²	semidirect
37. #2814	C₂²	semidirect
38. #2814	C₂²	semidirect
39. #2808	C₂²	semidirect
40. #2808	C₂²	semidirect
41. #2803	C₂²	semidirect
42. #2803	C₂²	semidirect
43. #2801	C₂²	semidirect
44. #2800	C₂²	semidirect
45. #2798	C₂²	semidirect
46. #2796	C₂²	semidirect
47. #2795	C₂²	semidirect
48. #2793	C₂²	semidirect
49. #2783	C₂²	semidirect
50. #2783	C₂²	semidirect
51. #2777	C₂²	semidirect
52. #2777	C₂²	semidirect
53. #2777	C₂²	semidirect
54. #2775	C₂²	semidirect
55. #2775	C₂²	semidirect
56. #2775	C₂²	semidirect
57. #2773	C₂²	semidirect
58. #2772	C₂²	semidirect
59. #2772	C₂²	semidirect
60. #2759	C₂²	semidirect
61. #2759	C₂²	semidirect
62. #2759	C₂²	semidirect
63. #2754	C₂²	semidirect
64. #2751	C₂²	semidirect
65. #2741	C₂²	semidirect
66. #2737	C₂²	semidirect
71. #2731	C₂²	semidirect
72. #2716	C₂²	semidirect
73. #2702	C₂²	semidirect
74. #2700	C₂²	semidirect
79. #2667	C₂²	semidirect
80. #2665	C₂²	semidirect
81. #2659	C₂²	semidirect
82. #2639	C₂²	semidirect
83. #2627	C₂²	semidirect
87. #2625	C₂²	semidirect
89. #2618	C₂²	semidirect
92. #2616	C₂²	semidirect
93. #2604	C₂²	semidirect
94. #2604	C₂²	semidirect
95. #2602	C₂²	semidirect
96. #2597	C₂²	semidirect
97. #2596	C₂²	semidirect
98. #2596	C₂²	semidirect
99. #2596	C₂²	semidirect
100. #2594	C₂²	semidirect
101. #2594	C₂²	semidirect
102. #2594	C₂²	semidirect
103. #2592	C₂²	semidirect
104. #2576	C₂²	semidirect
105. #2575	C₂²	semidirect
106. #2573	C₂²	semidirect
107. #2572	C₂²	semidirect
108. #2569	C₂²	semidirect
117. #2560	C₂²	semidirect
118. #2558	C₂²	semidirect
119. #2549	C₂²	semidirect
123. #2532	C₂²	semidirect
124. #2532	C₂²	semidirect
125. #2532	C₂²	semidirect
126. #2532	C₂²	semidirect
127. #2531	C₂²	semidirect
128. #2529	C₂²	semidirect
129. #2529	C₂²	semidirect
130. #2527	C₂²	semidirect
131. #2526	C₂²	semidirect
132. #2526	C₂²	semidirect
133. #2525	C₂²	semidirect
134. #2519	C₂²	semidirect
135. #2518	C₂²	semidirect
136. #2518	C₂²	semidirect
137. #2516	C₂²	semidirect
138. #2515	C₂²	semidirect
139. #2513	C₂²	semidirect
140. #2510	C₂²	semidirect
141. #2510	C₂²	semidirect
142. #2505	C₂²	semidirect
143. #2493	C₂²	semidirect
144. #2493	C₂²	semidirect
145. #2493	C₂²	semidirect
146. #2488	C₂²	semidirect
147. #2488	C₂²	semidirect
148. #2488	C₂²	semidirect
149. #2486	C₂²	semidirect
158. #2469	C₂²	semidirect
159. #2469	C₂²	semidirect
160. #2459	C₂²	semidirect
161. #2458	C₂²	semidirect
162. #2442	C₂²	semidirect
163. #2441	C₂²	semidirect
164. #2440	C₂²	semidirect
165. #2439	C₂²	semidirect
167. #2419	C₂²	semidirect
170. #2417	C₂²	semidirect
174. #2409	C₂²	semidirect
180. #2378	C₂²	semidirect
181. #2378	C₂²	semidirect
182. #2368	C₂²	semidirect
183. #2361	C₂²	semidirect
184. #2360	C₂²	semidirect
185. #2360	C₂²	semidirect
186. #2359	C₂²	semidirect
188. #2353	C₂²	semidirect
189. #2353	C₂²	semidirect
190. #2349	C₂²	semidirect
191. #2347	C₂²	semidirect
192. #2346	C₂²	semidirect
193. #2344	C₂²	semidirect
194. #2343	C₂²	semidirect
196. #2341	C₂²	semidirect
197. Q₈×C₂²⋊C₄	C₂²	semidirect
198. #2339	C₂²	semidirect
199. #2335	C₂²	semidirect
200. #2329	C₂²	semidirect
201. #2329	C₂²	semidirect
202. #2323	C₂²	semidirect
206. #2318	C₂²	semidirect
207. #2316	C₂²	semidirect
208. #2313	C₂²	semidirect
218. C₄×C₂²⋊Q₈	C₂²	semidirect
219. C₄×#123	C₂²	semidirect
220. C₄×#121	C₂²	semidirect
225. #2283	C₂²	semidirect
232. #2275	C₂²	semidirect
240. C₂×C₄⋊Q₈	C₂³	semidirect
243. C₂×#125	C₂³	semidirect
259. C₂×C₂²⋊Q₈	C₂³	semidirect
267. C₂×C₄×Q₈	C₂³	semidirect
268. C₂×C₄×Q₈	C₂³	semidirect
273. C₂×C₄×D₄	C₂³	semidirect
302. #401	C₂³	semidirect
303. #401	C₂³	semidirect
304. #400	C₂³	semidirect
305. #400	C₂³	semidirect
306. #400	C₂³	semidirect
307. #400	C₂³	semidirect
308. #400	C₂³	semidirect
309. #400	C₂³	semidirect
310. #400	C₂³	semidirect
311. #400	C₂³	semidirect
312. #400	C₂³	semidirect
313. #400	C₂³	semidirect
314. #400	C₂³	semidirect
321. #398	C₂³	semidirect
322. #398	C₂³	semidirect
323. #398	C₂³	semidirect
324. #398	C₂³	semidirect
325. #398	C₂³	semidirect
326. #398	C₂³	semidirect
327. #398	C₂³	semidirect
328. #398	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
366. #396	C₂³	semidirect
367. #396	C₂³	semidirect
368. #395	C₂³	semidirect
369. #395	C₂³	semidirect
370. #395	C₂³	semidirect
371. #395	C₂³	semidirect
384. #394	C₂³	semidirect
397. #393	C₂³	semidirect
398. #393	C₂³	semidirect
399. #393	C₂³	semidirect
402. #391	C₂³	semidirect
403. #391	C₂³	semidirect
404. #391	C₂³	semidirect
405. #391	C₂³	semidirect
406. #391	C₂³	semidirect
407. #391	C₂³	semidirect
408. #391	C₂³	semidirect
409. #391	C₂³	semidirect
410. #391	C₂³	semidirect
411. #391	C₂³	semidirect
418. #390	C₂³	semidirect
419. #389	C₂³	semidirect
420. #389	C₂³	semidirect
421. #389	C₂³	semidirect
422. #389	C₂³	semidirect
423. #389	C₂³	semidirect
424. #389	C₂³	semidirect
425. #389	C₂³	semidirect
426. #389	C₂³	semidirect
427. #389	C₂³	semidirect
428. #389	C₂³	semidirect
429. #389	C₂³	semidirect
430. #389	C₂³	semidirect
431. #389	C₂³	semidirect
432. #389	C₂³	semidirect
433. #389	C₂³	semidirect
434. #389	C₂³	semidirect
435. #389	C₂³	semidirect
492. #388	C₂³	semidirect
493. #388	C₂³	semidirect
494. #388	C₂³	semidirect
495. #388	C₂³	semidirect
496. #388	C₂³	semidirect
497. #388	C₂³	semidirect
498. #388	C₂³	semidirect
499. #388	C₂³	semidirect
500. #388	C₂³	semidirect
501. #388	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
509. #387	C₂³	semidirect
510. #387	C₂³	semidirect
511. #387	C₂³	semidirect
512. #387	C₂³	semidirect
513. #387	C₂³	semidirect
514. #387	C₂³	semidirect
515. #387	C₂³	semidirect
516. #387	C₂³	semidirect
517. #387	C₂³	semidirect
518. #387	C₂³	semidirect
519. #387	C₂³	semidirect
520. #387	C₂³	semidirect
521. #387	C₂³	semidirect
522. #387	C₂³	semidirect
523. #387	C₂³	semidirect
524. #387	C₂³	semidirect
525. #387	C₂³	semidirect
526. #387	C₂³	semidirect
527. #387	C₂³	semidirect
528. #387	C₂³	semidirect
529. #387	C₂³	semidirect
530. #387	C₂³	semidirect
531. #387	C₂³	semidirect
558. #385	C₂³	semidirect
559. #385	C₂³	semidirect
560. #384	C₂³	semidirect
561. #383	C₂³	semidirect
562. #383	C₂³	semidirect
563. #383	C₂³	semidirect
564. #383	C₂³	semidirect
565. #383	C₂³	semidirect
566. #382	C₂³	semidirect
567. #382	C₂³	semidirect
568. #382	C₂³	semidirect
569. #382	C₂³	semidirect
570. #382	C₂³	semidirect
579. #381	C₂³	semidirect
580. #381	C₂³	semidirect
599. #380	C₂³	semidirect
600. #380	C₂³	semidirect
616. C₄×C₄⋊C₄	C₂³	semidirect
617. C₄×C₄⋊C₄	C₂³	semidirect
618. C₄×C₄⋊C₄	C₂³	semidirect
619. C₄×C₄⋊C₄	C₂³	semidirect
620. C₄×C₄⋊C₄	C₂³	semidirect
621. C₄×C₄⋊C₄	C₂³	semidirect
622. C₄×C₄⋊C₄	C₂³	semidirect
623. C₄×C₄⋊C₄	C₂³	semidirect
624. C₄×C₄⋊C₄	C₂³	semidirect
644. C₄×C₂²⋊C₄	C₂³	semidirect
645. C₄×C₂²⋊C₄	C₂³	semidirect
646. C₄×C₂²⋊C₄	C₂³	semidirect
647. C₄×C₂²⋊C₄	C₂³	semidirect
648. #376	C₂³	semidirect
649. #376	C₂³	semidirect
650. #376	C₂³	semidirect
660. C₂×#95	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#50189	2
#50186	2
#49597	2
#49596	2
#47237	2
#46470	2
#44465	2
#44464	2
#43965	2
#43962	2
#39551	2
#39543	2
#39508	2
#39499	2
#39267	2
#37958	2
#37848	2
#37442	2
#36988	2
#36169	2
#35462	2
#35079	2
#35050	2
C₂×#2561	2
#34380	2
#34233	2
C₂×#2312	2