Subgroups — #8898662

Order 512.

4942 conjugacy classes of subgroups.

The subgroup lattice has 1447 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#57645	C₂	1	4	yes	maximal, complemented
2	#57603	C₂	1	4	yes	maximal, complemented
3	#57592	C₂	1	4	yes	maximal, complemented
4	#48917	C₂	1	4	yes	maximal, complemented
5	#48507	C₂	1	4	yes	maximal, complemented
6	#48441	C₂	1	4	yes	maximal, complemented
7	#47197	C₂	1	4	yes	maximal, complemented
8	#47195	C₂	1	1	yes	maximal, characteristic, complemented
9	#46999	C₂	1	1	yes	maximal, characteristic, complemented
10	#46953	C₂	1	4	yes	maximal, complemented
11	#46742	C₂	1	4	yes	maximal, complemented
12	#46390	C₂	1	1	yes	maximal, characteristic, complemented
13	#46388	C₂	1	1	yes	maximal, characteristic, complemented
14	#46386	C₂	1	1	yes	maximal, characteristic, complemented
15	#46386	C₂	1	1	yes	maximal, characteristic, complemented
16	#39086	C₂	1	4	yes	maximal, complemented
17	#39012	C₂	1	4	yes	maximal, complemented
18	#37848	C₂	1	4	yes	maximal, complemented
19	#37119	C₂	1	1	yes	maximal, characteristic, complemented
20	#36969	C₂	1	1	yes	maximal, characteristic, complemented
21	#36714	C₂	1	1	yes	maximal, characteristic
22	#35452	C₂	1	1	yes	maximal, characteristic, complemented
23	#35452	C₂	1	1	yes	maximal, characteristic, complemented
24	#35451	C₂	1	1	yes	maximal, characteristic, complemented
25	#35451	C₂	1	1	yes	maximal, characteristic, complemented
26	#35350	C₂	1	1	yes	maximal, characteristic, complemented
27	#35350	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#534	C₂²	1	1	yes	characteristic
29	C₂²×#126	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#120	C₂²	1	1	yes	characteristic
32	C₂×#518	C₂²	1	1	yes	characteristic
33	C₂×#518	C₂²	1	1	yes	characteristic
34	#2854	C₂²	1	2	yes	complemented
35	#2853	C₂²	1	2	yes	complemented
36	#2846	C₂²	1	2	yes	—
37	#2842	C₂²	1	1	yes	characteristic, complemented
38	#2842	C₂²	1	1	yes	characteristic, complemented
39	#2841	C₂²	1	4	yes	complemented
40	#2838	C₂²	1	4	yes	complemented
41	#2837	C₂²	1	4	yes	complemented
42	#2831	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	#2788	C₂²	1	4	yes	complemented
48	#2786	C₂²	1	4	yes	complemented
49	#2781	C₂²	1	4	yes	complemented
50	#2779	C₂²	1	4	yes	complemented
51	#2773	C₂²	1	4	yes	complemented
52	#2771	C₂²	1	4	yes	complemented
53	#2765	C₂²	1	4	yes	complemented
54	#2761	C₂²	1	4	yes	complemented
55	#2750	C₂²	1	4	yes	complemented
56	#2750	C₂²	1	4	yes	complemented
57	#2748	C₂²	1	4	yes	complemented
58	#2747	C₂²	1	4	yes	complemented
59	#2746	C₂²	1	4	yes	complemented
60	#2746	C₂²	1	4	yes	complemented
61	#2745	C₂²	1	4	yes	complemented
62	#2743	C₂²	1	4	yes	complemented
63	#2743	C₂²	1	4	yes	complemented
64	#2743	C₂²	1	4	yes	complemented
65	#2743	C₂²	1	4	yes	complemented
66	#2742	C₂²	1	4	yes	complemented
67	#2741	C₂²	1	4	yes	complemented
68	#2740	C₂²	1	4	yes	complemented
69	#2740	C₂²	1	4	yes	complemented
70	#2739	C₂²	1	4	yes	complemented
71	#2736	C₂²	1	4	yes	complemented
72	#2735	C₂²	1	4	yes	complemented
73	#2735	C₂²	1	4	yes	complemented
74	#2735	C₂²	1	4	yes	complemented
75	#2720	C₂²	1	4	yes	complemented
76	#2720	C₂²	1	4	yes	complemented
77	#2718	C₂²	1	4	yes	complemented
78	#2718	C₂²	1	4	yes	complemented
79	#2717	C₂²	1	4	yes	complemented
80	#2707	C₂²	1	4	yes	complemented
81	#2707	C₂²	1	4	yes	complemented
82	#2707	C₂²	1	4	yes	complemented
83	#2697	C₂²	1	4	yes	—
84	#2697	C₂²	1	4	yes	complemented
85	#2695	C₂²	1	4	yes	complemented
86	#2695	C₂²	1	4	yes	complemented
87	#2694	C₂²	1	4	yes	complemented
88	#2694	C₂²	1	4	yes	complemented
89	#2693	C₂²	1	4	yes	complemented
90	#2693	C₂²	1	4	yes	complemented
91	#2690	C₂²	1	4	yes	complemented
92	#2686	C₂²	1	4	yes	complemented
93	#2686	C₂²	1	4	yes	complemented
94	#2685	C₂²	1	4	yes	—
95	#2685	C₂²	1	4	yes	complemented
96	#2685	C₂²	1	4	yes	complemented
97	#2684	C₂²	1	4	yes	—
98	#2679	C₂²	1	4	yes	—
99	#2678	C₂²	1	4	yes	—
100	#2678	C₂²	1	4	yes	—
101	#2654	C₂²	1	4	yes	complemented
102	#2652	C₂²	1	4	yes	complemented
103	#2650	C₂²	1	4	yes	complemented
104	#2649	C₂²	1	4	yes	complemented
105	#2626	C₂²	1	4	yes	complemented
106	#2622	C₂²	1	2	yes	—
107	#2622	C₂²	1	4	yes	complemented
108	#2618	C₂²	1	2	yes	complemented
109	#2614	C₂²	1	2	yes	complemented
110	#2611	C₂²	1	4	yes	complemented
111	#2596	C₂²	1	4	yes	complemented
112	#2596	C₂²	1	4	yes	complemented
113	#2595	C₂²	1	4	yes	complemented
114	#2593	C₂²	1	4	yes	complemented
115	#2591	C₂²	1	2	yes	complemented
116	#2587	C₂²	1	4	yes	complemented
117	#2579	C₂²	1	2	yes	complemented
118	#2579	C₂²	1	2	yes	complemented
119	#2576	C₂²	1	4	yes	complemented
120	#2562	C₂²	1	4	yes	complemented
121	#2561	C₂²	1	4	yes	complemented
122	#2558	C₂²	1	4	yes	complemented
123	#2556	C₂²	1	4	yes	complemented
124	#2553	C₂²	1	4	yes	complemented
125	#2534	C₂²	1	4	yes	—
126	#2534	C₂²	1	4	yes	complemented
127	#2534	C₂²	1	2	yes	complemented
128	#2534	C₂²	1	2	yes	complemented
129	#2531	C₂²	1	4	yes	complemented
130	#2530	C₂²	1	4	yes	complemented
131	#2526	C₂²	1	4	yes	complemented
132	#2526	C₂²	1	4	yes	complemented
133	#2516	C₂²	1	4	yes	complemented
134	#2501	C₂²	1	2	yes	complemented
135	#2497	C₂²	1	4	yes	complemented
136	#2486	C₂²	1	2	yes	complemented
137	#2486	C₂²	1	2	yes	complemented
138	#2485	C₂²	1	4	yes	complemented
139	#2483	C₂²	1	1	yes	characteristic, complemented
140	#2483	C₂²	1	1	yes	characteristic, complemented
141	#2483	C₂²	1	1	yes	characteristic, complemented
142	#2483	C₂²	1	1	yes	characteristic, complemented
143	#2482	C₂²	1	2	yes	complemented
144	#2482	C₂²	1	2	yes	complemented
145	#2482	C₂²	1	2	yes	complemented
146	#2482	C₂²	1	2	yes	complemented
147	#2482	C₂²	1	4	yes	complemented
148	#2480	C₂²	1	4	yes	complemented
149	#2480	C₂²	1	4	yes	complemented
150	#2480	C₂²	1	4	yes	complemented
151	#2480	C₂²	1	4	yes	complemented
152	#2478	C₂²	1	4	yes	complemented
153	#2478	C₂²	1	4	yes	complemented
154	#2475	C₂²	1	4	yes	complemented
155	#2474	C₂²	1	4	yes	complemented
156	#2474	C₂²	1	4	yes	complemented
157	#2472	C₂²	1	4	yes	—
158	#2472	C₂²	1	4	yes	—
159	#2470	C₂²	1	4	yes	complemented
160	#2470	C₂²	1	4	yes	complemented
161	#2468	C₂²	1	4	yes	complemented
162	#2468	C₂²	1	4	yes	complemented
163	#2466	C₂²	1	4	yes	complemented
164	#2466	C₂²	1	4	yes	complemented
165	#2461	C₂²	1	4	yes	complemented
166	#2461	C₂²	1	4	yes	complemented
167	#2459	C₂²	1	4	yes	complemented
168	#2459	C₂²	1	4	yes	complemented
169	#2457	C₂²	1	4	yes	complemented
170	#2457	C₂²	1	4	yes	complemented
171	#2454	C₂²	1	4	yes	complemented
172	#2437	C₂²	1	4	yes	complemented
173	#2418	C₂²	1	4	yes	—
174	#2418	C₂²	1	4	yes	—
175	#2418	C₂²	1	4	yes	—
176	#2418	C₂²	1	4	yes	—
177	#2418	C₂²	1	4	yes	—
178	#2418	C₂²	1	4	yes	complemented
179	#2418	C₂²	1	4	yes	complemented
180	#2418	C₂²	1	4	yes	complemented
181	#2418	C₂²	1	4	yes	complemented
182	#2418	C₂²	1	4	yes	complemented
183	#2418	C₂²	1	4	yes	complemented
184	#2412	C₂²	1	4	yes	complemented
185	#2412	C₂²	1	2	yes	complemented
186	#2412	C₂²	1	2	yes	complemented
187	#2411	C₂²	1	2	yes	—
188	#2411	C₂²	1	2	yes	—
189	#2411	C₂²	1	4	yes	complemented
190	#2409	C₂²	1	2	yes	complemented
191	#2409	C₂²	1	2	yes	complemented
192	#2405	C₂²	1	1	yes	characteristic
193	#2405	C₂²	1	1	yes	characteristic
194	#2405	C₂²	1	1	yes	characteristic
195	#2405	C₂²	1	1	yes	characteristic
196	#2405	C₂²	1	1	yes	characteristic
197	#2405	C₂²	1	1	yes	characteristic
198	#2405	C₂²	1	1	yes	characteristic
199	#2405	C₂²	1	1	yes	characteristic
200	#2405	C₂²	1	1	yes	characteristic
201	#2405	C₂²	1	1	yes	characteristic
202	#2405	C₂²	1	1	yes	characteristic, complemented
203	#2405	C₂²	1	1	yes	characteristic, complemented
204	#2403	C₂²	1	1	yes	characteristic
205	#2403	C₂²	1	1	yes	characteristic
206	#2376	C₂²	1	4	yes	complemented
207	#2373	C₂²	1	4	yes	complemented
208	#2358	C₂²	1	4	yes	complemented
209	#2342	C₂²	1	4	yes	complemented
210	#2322	C₂²	1	2	yes	complemented
211	#2322	C₂²	1	2	yes	complemented
212	#2321	C₂²	1	4	yes	complemented
213	#2321	C₂²	1	2	yes	complemented
214	#2321	C₂²	1	2	yes	complemented
215	#2319	C₂²	1	4	yes	complemented
216	#2315	C₂²	1	2	yes	complemented
217	#2315	C₂²	1	2	yes	complemented
218	#2314	C₂²	1	4	yes	complemented
219	#2312	C₂²	1	4	yes	complemented
220	#2312	C₂²	1	1	yes	characteristic, complemented
221	#2312	C₂²	1	1	yes	characteristic, complemented
222	#2312	C₂²	1	1	yes	characteristic, complemented
223	#2312	C₂²	1	1	yes	characteristic, complemented
224	#2312	C₂²	1	1	yes	characteristic, complemented
225	#2309	C₂²	1	1	yes	characteristic
226	#2308	C₂²	1	1	yes	characteristic
227	#2308	C₂²	1	1	yes	characteristic
228	#2308	C₂²	1	1	yes	characteristic, complemented
229	C₄×#123	C₂²	1	2	yes	complemented
230	C₄×#123	C₂²	1	2	yes	complemented
231	C₄×#123	C₂²	1	2	yes	complemented
232	C₄×#123	C₂²	1	2	yes	complemented
233	C₂×#379	C₂²	1	2	yes	complemented
234	C₂×#379	C₂²	1	2	yes	complemented
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
237	C₂³×D₄	C₂³	1	1	yes	characteristic
238	C₂³×D₄	C₂³	1	1	yes	characteristic
239	C₂³×D₄	C₂³	1	1	yes	characteristic
240	C₂³×D₄	C₂³	1	1	yes	characteristic
241	#534	—	4	4	no	—
242	C₂×#126	—	4	4	no	—
243	C₂×#126	C₂³	1	4	yes	—
244	C₂×#126	C₂³	1	4	yes	—
245	C₂×#126	C₂³	1	4	yes	complemented
246	C₂×#125	C₂³	1	4	yes	complemented
247	C₂×#125	C₂³	1	4	yes	complemented
248	C₂×#124	—	4	4	no	—
249	C₂×#124	C₂³	1	4	yes	—
250	C₂×#124	C₂³	1	4	yes	complemented
251	C₂×#123	C₂³	1	2	yes	—
252	C₂×#123	C₂³	1	2	yes	—
253	C₂×#123	C₂³	1	2	yes	—
254	C₂×#123	C₂³	1	4	yes	—
255	C₂×#123	C₂³	1	2	yes	—
256	C₂×#123	C₂³	1	2	yes	—
257	C₂×#123	C₂³	1	2	yes	—
258	C₂×#123	C₂³	1	2	yes	—
259	C₂×#123	C₂³	1	2	yes	—
260	C₂×#123	C₂³	1	2	yes	—
261	C₂×#123	C₂³	1	2	yes	—
262	C₂×#123	C₂³	1	2	yes	—
263	C₂×#123	C₂³	1	2	yes	—
264	C₂×#123	C₂³	1	4	yes	—
265	C₂×#123	C₂³	1	2	yes	complemented
266	C₂×#123	C₂³	1	2	yes	complemented
267	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
268	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
269	C₂×#121	C₂³	1	2	yes	—
270	C₂×#121	C₂³	1	2	yes	—
271	C₂×#120	—	4	4	no	—
272	C₂×#120	C₂³	1	4	yes	—
273	C₂×#120	C₂³	1	2	yes	—
274	C₂×#120	C₂³	1	2	yes	—
275	C₂×#120	C₂³	1	4	yes	—
276	C₂×#120	C₂³	1	2	yes	—
277	C₂×#120	C₂³	1	4	yes	—
278	C₂×#120	C₂³	1	4	yes	—
279	C₂×#120	C₂³	1	2	yes	—
280	C₂×#120	C₂³	1	2	yes	—
281	C₂×#120	C₂³	1	2	yes	—
282	#518	—	4	4	no	—
283	#518	—	4	4	no	—
284	C₂×C₄×D₄	C₂³	1	4	yes	—
285	C₂×C₄×D₄	C₂³	1	2	yes	—
286	C₂×C₄×D₄	C₂³	1	2	yes	—
287	C₂×C₄×D₄	C₂³	1	2	yes	—
288	C₂×C₄×D₄	C₂³	1	2	yes	—
289	C₂×C₄×D₄	C₂³	1	2	yes	—
290	C₂×C₄×D₄	C₂³	1	2	yes	—
291	C₂×C₄×D₄	C₂³	1	2	yes	—
292	C₂×C₄×D₄	C₂³	1	2	yes	—
293	C₂×C₄×D₄	C₂³	1	4	yes	—
294	C₂×#117	C₂³	1	4	yes	—
295	C₂×#117	C₂³	1	2	yes	—
296	C₂×#117	C₂³	1	2	yes	—
297	C₂×#117	C₂³	1	2	yes	—
298	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
299	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
300	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
301	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
308	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
313	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
314	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
316	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
317	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
319	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
320	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
321	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
322	#401	C₂³	1	4	yes	complemented
323	#400	C₂³	1	4	yes	complemented
324	#400	C₂³	1	4	yes	complemented
325	#400	C₂³	1	4	yes	complemented
326	#400	C₂³	1	4	yes	complemented
327	#400	C₂³	1	4	yes	complemented
328	#400	C₂³	1	4	yes	complemented
329	#400	C₂³	1	4	yes	complemented
330	#400	C₂³	1	4	yes	complemented
331	#400	C₂³	1	4	yes	complemented
332	#400	C₂³	1	4	yes	complemented
333	#400	C₂³	1	4	yes	complemented
334	#400	C₂³	1	4	yes	complemented
335	#400	C₂³	1	4	yes	complemented
336	#400	C₂³	1	4	yes	complemented
337	#399	C₂³	1	4	yes	—
338	#399	C₂³	1	4	yes	—
339	#399	C₂³	1	4	yes	—
340	#399	C₂³	1	4	yes	—
341	#399	C₂³	1	4	yes	—
342	#399	C₂³	1	4	yes	—
343	#399	C₂³	1	4	yes	—
344	#399	C₂³	1	4	yes	—
345	#399	C₂³	1	4	yes	complemented
346	#399	C₂³	1	4	yes	complemented
347	#398	C₂³	1	4	yes	complemented
348	#398	C₂³	1	4	yes	complemented
349	#398	C₂³	1	4	yes	complemented
350	#398	C₂³	1	4	yes	complemented
351	#398	C₂³	1	4	yes	complemented
352	#398	C₂³	1	4	yes	complemented
353	#398	C₂³	1	4	yes	complemented
354	#398	C₂³	1	4	yes	complemented
355	#398	C₂³	1	4	yes	complemented
356	#397	C₂³	1	4	yes	—
357	#397	C₂³	1	4	yes	—
358	#397	C₂³	1	4	yes	—
359	#397	C₂³	1	4	yes	—
360	#397	C₂³	1	4	yes	—
361	#397	C₂³	1	4	yes	—
362	#397	C₂³	1	4	yes	—
363	#397	C₂³	1	4	yes	—
364	#397	C₂³	1	4	yes	—
365	#397	C₂³	1	4	yes	—
366	#397	C₂³	1	4	yes	—
367	#397	C₂³	1	4	yes	—
368	#397	C₂³	1	4	yes	—
369	#397	C₂³	1	4	yes	—
370	#397	C₂³	1	4	yes	—
371	#397	C₂³	1	4	yes	—
372	#397	C₂³	1	4	yes	—
373	#397	C₂³	1	4	yes	—
374	#397	C₂³	1	4	yes	—
375	#397	C₂³	1	4	yes	—
376	#397	C₂³	1	4	yes	complemented
377	#397	C₂³	1	4	yes	complemented
378	#397	C₂³	1	4	yes	complemented
379	#396	C₂³	1	4	yes	—
380	#396	C₂³	1	4	yes	—
381	#396	C₂³	1	4	yes	—
382	#396	C₂³	1	4	yes	—
383	#396	C₂³	1	4	yes	—
384	#396	C₂³	1	4	yes	—
385	#396	C₂³	1	4	yes	—
386	#396	C₂³	1	4	yes	—
387	#396	C₂³	1	4	yes	—
388	#396	C₂³	1	4	yes	—
389	#396	C₂³	1	4	yes	complemented
390	#396	C₂³	1	4	yes	complemented
391	#396	C₂³	1	4	yes	complemented
392	#396	C₂³	1	4	yes	complemented
393	#396	C₂³	1	4	yes	complemented
394	#396	C₂³	1	4	yes	complemented
395	#396	C₂³	1	4	yes	complemented
396	#395	C₂³	1	4	yes	complemented
397	#395	C₂³	1	4	yes	complemented
398	#395	C₂³	1	4	yes	complemented
399	#395	C₂³	1	4	yes	complemented
400	#394	C₂³	1	4	yes	—
401	#394	C₂³	1	4	yes	—
402	#394	C₂³	1	4	yes	—
403	#394	C₂³	1	4	yes	—
404	#394	C₂³	1	4	yes	—
405	#394	C₂³	1	4	yes	—
406	#394	C₂³	1	4	yes	—
407	#394	C₂³	1	4	yes	—
408	#394	C₂³	1	4	yes	—
409	#394	C₂³	1	4	yes	—
410	#394	C₂³	1	4	yes	—
411	#394	C₂³	1	4	yes	—
412	#394	C₂³	1	4	yes	—
413	#394	C₂³	1	4	yes	—
414	#394	C₂³	1	4	yes	—
415	#394	C₂³	1	4	yes	—
416	#394	C₂³	1	4	yes	—
417	#394	C₂³	1	4	yes	—
418	#394	C₂³	1	4	yes	—
419	#394	C₂³	1	4	yes	—
420	#394	C₂³	1	4	yes	—
421	#394	C₂³	1	4	yes	—
422	#394	C₂³	1	4	yes	—
423	#394	C₂³	1	4	yes	—
424	#393	C₂³	1	4	yes	—
425	#393	C₂³	1	4	yes	—
426	#393	C₂³	1	4	yes	—
427	#393	C₂³	1	4	yes	—
428	#392	C₂³	1	4	yes	—
429	#392	C₂³	1	4	yes	—
430	#391	C₂³	1	4	yes	complemented
431	#391	C₂³	1	4	yes	complemented
432	#390	C₂³	1	4	yes	—
433	#390	C₂³	1	4	yes	—
434	#390	C₂³	1	4	yes	—
435	#390	C₂³	1	4	yes	—
436	#390	C₂³	1	4	yes	—
437	#390	C₂³	1	4	yes	—
438	#390	C₂³	1	4	yes	—
439	#390	C₂³	1	4	yes	—
440	#389	C₂³	1	4	yes	complemented
441	#389	C₂³	1	4	yes	complemented
442	#389	C₂³	1	4	yes	complemented
443	#389	C₂³	1	4	yes	complemented
444	#389	C₂³	1	4	yes	complemented
445	#389	C₂³	1	4	yes	complemented
446	#389	C₂³	1	4	yes	complemented
447	#389	C₂³	1	4	yes	complemented
448	#389	C₂³	1	4	yes	complemented
449	#389	C₂³	1	4	yes	complemented
450	#389	C₂³	1	4	yes	complemented
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	complemented
490	#388	C₂³	1	4	yes	complemented
491	#388	C₂³	1	4	yes	complemented
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	#388	C₂³	1	4	yes	complemented
503	#388	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	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	4	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	4	yes	—
529	#386	C₂³	1	4	yes	—
530	#386	C₂³	1	2	yes	—
531	#386	C₂³	1	4	yes	—
532	#386	C₂³	1	2	yes	—
533	#386	C₂³	1	2	yes	—
534	#386	C₂³	1	4	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	4	yes	—
537	#386	C₂³	1	4	yes	—
538	#386	C₂³	1	2	yes	—
539	#386	C₂³	1	2	yes	—
540	#386	C₂³	1	2	yes	—
541	#386	C₂³	1	2	yes	—
542	#386	C₂³	1	2	yes	—
543	#386	C₂³	1	4	yes	—
544	#386	C₂³	1	2	yes	—
545	#386	C₂³	1	2	yes	—
546	#386	C₂³	1	4	yes	—
547	#386	C₂³	1	2	yes	—
548	#386	C₂³	1	2	yes	—
549	#386	C₂³	1	4	yes	—
550	#386	C₂³	1	2	yes	—
551	#386	C₂³	1	2	yes	—
552	#386	C₂³	1	4	yes	complemented
553	#386	C₂³	1	2	yes	complemented
554	#386	C₂³	1	2	yes	complemented
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	2	yes	—
558	#385	C₂³	1	2	yes	—
559	#385	C₂³	1	4	yes	—
560	#385	C₂³	1	2	yes	—
561	#385	C₂³	1	2	yes	—
562	#385	C₂³	1	2	yes	—
563	#385	C₂³	1	2	yes	—
564	#385	C₂³	1	2	yes	—
565	#385	C₂³	1	2	yes	—
566	#385	C₂³	1	4	yes	—
567	#385	C₂³	1	4	yes	—
568	#385	C₂³	1	4	yes	—
569	#385	C₂³	1	4	yes	—
570	#385	C₂³	1	4	yes	—
571	#385	C₂³	1	4	yes	—
572	#385	C₂³	1	4	yes	—
573	#385	C₂³	1	4	yes	—
574	#385	C₂³	1	4	yes	—
575	#385	C₂³	1	2	yes	—
576	#385	C₂³	1	2	yes	—
577	#385	C₂³	1	4	yes	—
578	#385	C₂³	1	2	yes	complemented
579	#385	C₂³	1	2	yes	complemented
580	#385	C₂³	1	2	yes	complemented
581	#385	C₂³	1	2	yes	complemented
582	#385	C₂³	1	2	yes	complemented
583	#385	C₂³	1	2	yes	complemented
584	#385	C₂³	1	2	yes	complemented
585	#385	C₂³	1	2	yes	complemented
586	#385	C₂³	1	2	yes	complemented
587	#385	C₂³	1	2	yes	complemented
588	#385	C₂³	1	4	yes	complemented
589	#384	C₂³	1	4	yes	complemented
590	#382	C₂³	1	4	yes	complemented
591	#381	C₂³	1	4	yes	—
592	#381	C₂³	1	4	yes	—
593	#381	C₂³	1	2	yes	—
594	#381	C₂³	1	2	yes	—
595	#381	C₂³	1	2	yes	complemented
596	#381	C₂³	1	4	yes	complemented
597	#381	C₂³	1	2	yes	complemented
598	#381	C₂³	1	2	yes	complemented
599	#381	C₂³	1	2	yes	complemented
600	#381	C₂³	1	2	yes	complemented
601	#381	C₂³	1	2	yes	complemented
602	#381	C₂³	1	2	yes	complemented
603	#381	C₂³	1	2	yes	complemented
604	#381	C₂³	1	2	yes	complemented
605	#380	C₂³	1	4	yes	—
606	#380	C₂³	1	4	yes	—
607	#380	C₂³	1	4	yes	—
608	#380	C₂³	1	4	yes	—
609	#380	C₂³	1	4	yes	—
610	#380	C₂³	1	4	yes	—
611	#380	C₂³	1	4	yes	—
612	#380	C₂³	1	4	yes	—
613	#380	C₂³	1	4	yes	—
614	#380	C₂³	1	4	yes	complemented
615	#380	C₂³	1	4	yes	complemented
616	#380	C₂³	1	2	yes	complemented
617	#380	C₂³	1	2	yes	complemented
618	#380	C₂³	1	2	yes	complemented
619	#380	C₂³	1	2	yes	complemented
620	#380	C₂³	1	2	yes	complemented
621	#380	C₂³	1	4	yes	complemented
622	#380	C₂³	1	4	yes	complemented
623	#379	C₂³	1	4	yes	—
624	#379	C₂³	1	4	yes	—
625	#379	C₂³	1	1	yes	characteristic
626	#379	C₂³	1	1	yes	characteristic
627	#379	C₂³	1	1	yes	characteristic
628	#379	C₂³	1	1	yes	characteristic
629	#379	C₂³	1	1	yes	characteristic
630	#379	C₂³	1	1	yes	characteristic
631	#379	C₂³	1	2	yes	—
632	#379	C₂³	1	4	yes	—
633	#379	C₂³	1	4	yes	—
634	#379	C₂³	1	2	yes	—
635	#379	C₂³	1	2	yes	—
636	#379	C₂³	1	4	yes	—
637	#379	C₂³	1	2	yes	—
638	#379	C₂³	1	2	yes	—
639	#379	C₂³	1	2	yes	—
640	#379	C₂³	1	2	yes	—
641	#379	C₂³	1	2	yes	—
642	#379	C₂³	1	2	yes	—
643	#379	C₂³	1	2	yes	—
644	#379	C₂³	1	2	yes	—
645	#379	C₂³	1	4	yes	—
646	#379	C₂³	1	2	yes	complemented
647	#379	C₂³	1	2	yes	complemented
648	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
649	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
650	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
651	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
652	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
653	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
654	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
655	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
656	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
657	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
658	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
659	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
660	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
661	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
662	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
663	#376	C₂³	1	4	yes	complemented
664	C₂⁵	—	4	2	no	—
665	C₂⁵	—	4	4	no	—
666	C₂⁵	—	4	4	no	—
667	C₂⁵	—	8	2	no	—
668	C₂⁵	C₂⁴	1	1	yes	characteristic
669	C₂⁵	C₂⁴	1	1	yes	characteristic
670	C₂⁵	C₂⁴	1	4	yes	—
671	C₂⁵	C₂⁴	1	1	yes	characteristic
672	C₂⁵	C₂⁴	1	1	yes	characteristic
673	C₂⁵	C₂⁴	1	1	yes	characteristic
674	C₂²×Q₈	—	4	2	no	—
675	C₂²×Q₈	—	8	2	no	—
676	C₂²×Q₈	C₂⁴	1	4	yes	—
677	C₂²×D₄	—	2	4	no	—
678	C₂²×D₄	—	2	4	no	—
679	C₂²×D₄	—	2	4	no	—
680	C₂²×D₄	—	2	4	no	—
681	C₂²×D₄	—	4	4	no	—
682	C₂²×D₄	—	4	4	no	—
683	C₂²×D₄	—	8	2	no	—
684	C₂²×D₄	—	8	2	no	—
685	C₂²×D₄	C₂⁴	1	2	yes	—
686	C₂²×D₄	C₂⁴	1	2	yes	—
687	C₂²×D₄	C₂⁴	1	2	yes	—
688	C₂²×D₄	C₂⁴	1	2	yes	—
689	C₂²×D₄	C₂⁴	1	4	yes	—
690	C₂²×D₄	C₂⁴	1	4	yes	—
691	C₂²×D₄	C₂⁴	1	2	yes	—
692	C₂²×D₄	C₂⁴	1	2	yes	—
693	C₂²×D₄	C₂⁴	1	2	yes	—
694	C₂²×D₄	C₂⁴	1	2	yes	—
695	C₂²×D₄	C₂⁴	1	2	yes	—
696	C₂²×D₄	C₂⁴	1	2	yes	—
697	C₂³×C₄	C₂⁴	1	4	yes	—
698	C₂³×C₄	C₂⁴	1	1	yes	characteristic
699	C₂³×C₄	C₂⁴	1	1	yes	characteristic
700	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	C₂³×C₄	C₂⁴	1	1	yes	characteristic
708	C₂³×C₄	C₂⁴	1	1	yes	characteristic
709	C₂³×C₄	C₂⁴	1	1	yes	characteristic
710	C₂³×C₄	C₂⁴	1	1	yes	characteristic
711	C₂³×C₄	C₂⁴	1	1	yes	characteristic
712	C₂³×C₄	C₂⁴	1	2	yes	—
713	C₂³×C₄	C₂⁴	1	2	yes	—
714	C₂³×C₄	C₂⁴	1	2	yes	—
715	C₂³×C₄	C₂⁴	1	2	yes	—
716	C₂³×C₄	C₂⁴	1	4	yes	—
717	C₂³×C₄	C₂⁴	1	4	yes	—
718	#126	—	4	8	no	—
719	#126	—	4	8	no	—
720	#126	—	4	8	no	—
721	#125	—	8	4	no	—
722	#125	—	8	4	no	—
723	#124	—	4	8	no	—
724	#124	—	4	8	no	—
725	#123	—	4	4	no	—
726	#123	—	4	4	no	—
727	#123	—	4	4	no	—
728	#123	—	4	8	no	—
729	#123	—	4	4	no	—
730	#123	—	4	4	no	—
731	#123	—	4	4	no	—
732	#123	—	4	4	no	—
733	#123	—	4	4	no	—
734	#123	—	8	2	no	—
735	#123	—	8	2	no	—
736	#123	—	8	4	no	—
737	#123	—	8	2	no	—
738	#123	—	8	2	no	—
739	#123	—	8	2	no	—
740	#123	—	8	2	no	—
741	C₂²⋊Q₈	—	8	4	no	—
742	C₂²⋊Q₈	—	8	4	no	—
743	#121	—	4	4	no	—
744	#121	—	4	4	no	—
745	#120	—	4	8	no	—
746	#120	—	4	8	no	—
747	#120	—	4	4	no	—
748	#120	—	4	4	no	—
749	#120	—	4	8	no	—
750	#120	—	4	8	no	—
751	#120	—	4	4	no	—
752	#120	—	4	4	no	—
753	#120	—	8	2	no	—
754	#120	—	8	2	no	—
755	C₄×D₄	—	4	8	no	—
756	C₄×D₄	—	4	4	no	—
757	C₄×D₄	—	4	4	no	—
758	C₄×D₄	—	4	4	no	—
759	C₄×D₄	—	4	4	no	—
760	C₄×D₄	—	4	4	no	—
761	C₄×D₄	—	4	4	no	—
762	C₄×D₄	—	4	4	no	—
763	C₄×D₄	—	4	4	no	—
764	C₄×D₄	—	8	4	no	—
765	#117	—	4	8	no	—
766	#117	—	4	4	no	—
767	#117	—	4	4	no	—
768	#117	—	8	2	no	—
769	C₂×C₄⋊C₄	—	4	2	no	—
770	C₂×C₄⋊C₄	—	4	2	no	—
771	C₂×C₄⋊C₄	—	4	2	no	—
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	2	yes	—
776	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
778	C₂×C₄⋊C₄	C₂⁴	1	2	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×C₄⋊C₄	C₂⁴	1	2	yes	—
785	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
786	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	—	2	4	no	—
810	C₂×C₂²⋊C₄	—	2	4	no	—
811	C₂×C₂²⋊C₄	—	2	4	no	—
812	C₂×C₂²⋊C₄	—	2	4	no	—
813	C₂×C₂²⋊C₄	—	2	4	no	—
814	C₂×C₂²⋊C₄	—	4	8	no	—
815	C₂×C₂²⋊C₄	—	4	8	no	—
816	C₂×C₂²⋊C₄	—	4	4	no	—
817	C₂×C₂²⋊C₄	—	4	4	no	—
818	C₂×C₂²⋊C₄	—	4	4	no	—
819	C₂×C₂²⋊C₄	—	4	4	no	—
820	C₂×C₂²⋊C₄	—	4	2	no	—
821	C₂×C₂²⋊C₄	—	4	2	no	—
822	C₂×C₂²⋊C₄	—	4	2	no	—
823	C₂×C₂²⋊C₄	—	4	2	no	—
824	C₂×C₂²⋊C₄	—	4	2	no	—
825	C₂×C₂²⋊C₄	—	8	4	no	—
826	C₂×C₂²⋊C₄	—	8	4	no	—
827	C₂×C₂²⋊C₄	—	8	2	no	—
828	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂×C₄²	—	4	2	no	—
903	C₂×C₄²	—	4	2	no	—
904	C₂×C₄²	C₂⁴	1	2	yes	—
905	C₂×C₄²	C₂⁴	1	2	yes	—
906	C₂×C₄²	C₂⁴	1	2	yes	—
907	C₂×C₄²	C₂⁴	1	2	yes	—
908	C₂×C₄²	C₂⁴	1	4	yes	—
909	C₂×C₄²	C₂⁴	1	4	yes	—
910	C₂×C₄²	C₂⁴	1	4	yes	—
911	C₂×C₄²	C₂⁴	1	4	yes	—
912	C₂×C₄²	C₂⁴	1	4	yes	—
913	C₂×C₄²	C₂⁴	1	4	yes	—
914	C₂×C₄²	C₂⁴	1	4	yes	—
915	C₂×C₄²	C₂⁴	1	4	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	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	4	yes	—
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	4	yes	—
946	#95	C₂⁴	1	4	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	4	yes	—
949	#95	C₂⁴	1	4	yes	—
950	#95	C₂⁴	1	4	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	4	yes	—
953	#95	C₂⁴	1	4	yes	—
954	#95	C₂⁴	1	4	yes	—
955	#95	C₂⁴	1	4	yes	—
956	#95	C₂⁴	1	4	yes	—
957	#95	C₂⁴	1	4	yes	—
958	#95	C₂⁴	1	4	yes	—
959	#95	C₂⁴	1	4	yes	—
960	C₂⁴	—	2	2	no	—
961	C₂⁴	—	2	2	no	—
962	C₂⁴	—	2	4	no	—
963	C₂⁴	—	2	4	no	—
964	C₂⁴	—	2	8	no	—
965	C₂⁴	—	2	2	no	—
966	C₂⁴	—	2	2	no	—
967	C₂⁴	—	2	8	no	—
968	C₂⁴	—	4	4	no	—
969	C₂⁴	—	4	4	no	—
970	C₂⁴	—	4	2	no	—
971	C₂⁴	—	4	4	no	—
972	C₂⁴	—	4	2	no	—
973	C₂⁴	—	4	2	no	—
974	C₂⁴	—	4	2	no	—
975	C₂⁴	—	4	2	no	—
976	C₂⁴	—	4	4	no	—
977	C₂⁴	—	4	2	no	—
978	C₂⁴	—	4	2	no	—
979	C₂⁴	—	4	2	no	—
980	C₂⁴	—	4	2	no	—
981	C₂⁴	—	4	2	no	—
982	C₂⁴	—	4	2	no	—
983	C₂⁴	—	4	4	no	—
984	C₂⁴	—	4	2	no	—
985	C₂⁴	—	4	2	no	—
986	C₂⁴	—	8	8	no	—
987	C₂⁴	—	8	8	no	—
988	C₂⁴	—	8	32	no	—
989	C₂⁴	—	8	8	no	—
990	C₂⁴	H(5,𝔽₂)	1	4	yes	—
991	C₂⁴	C₂⁵	1	2	yes	—
992	C₂⁴	C₂⁵	1	2	yes	—
993	C₂⁴	C₂⁵	1	1	yes	characteristic
994	C₂⁴	C₂⁵	1	1	yes	characteristic
995	C₂⁴	C₂⁵	1	1	yes	characteristic
996	C₂⁴	C₂⁵	1	2	yes	—
997	C₂⁴	C₂⁵	1	2	yes	—
998	C₂×Q₈	—	4	4	no	—
999	C₂×Q₈	—	4	4	no	—
1000	C₂×Q₈	—	4	4	no	—
1001	C₂×Q₈	—	8	8	no	—
1002	C₂×D₄	—	2	4	no	—
1003	C₂×D₄	—	2	4	no	—
1004	C₂×D₄	—	2	4	no	—
1005	C₂×D₄	—	2	4	no	—
1006	C₂×D₄	—	2	4	no	—
1007	C₂×D₄	—	2	4	no	—
1008	C₂×D₄	—	2	4	no	—
1009	C₂×D₄	—	2	4	no	—
1010	C₂×D₄	—	2	4	no	—
1011	C₂×D₄	—	2	4	no	—
1012	C₂×D₄	—	2	4	no	—
1013	C₂×D₄	—	2	4	no	—
1014	C₂×D₄	—	2	8	no	—
1015	C₂×D₄	—	2	8	no	—
1016	C₂×D₄	—	4	2	no	—
1017	C₂×D₄	—	4	2	no	—
1018	C₂×D₄	—	4	2	no	—
1019	C₂×D₄	—	4	2	no	—
1020	C₂×D₄	—	4	4	no	—
1021	C₂×D₄	—	4	4	no	—
1022	C₂×D₄	—	4	4	no	—
1023	C₂×D₄	—	4	4	no	—
1024	C₂×D₄	—	4	2	no	—
1025	C₂×D₄	—	4	2	no	—
1026	C₂×D₄	—	4	2	no	—
1027	C₂×D₄	—	4	2	no	—
1028	C₂×D₄	—	4	2	no	—
1029	C₂×D₄	—	4	2	no	—
1030	C₂×D₄	—	4	2	no	—
1031	C₂×D₄	—	4	2	no	—
1032	C₂×D₄	—	4	2	no	—
1033	C₂×D₄	—	4	2	no	—
1034	C₂×D₄	—	4	4	no	—
1035	C₂×D₄	—	4	4	no	—
1036	C₂×D₄	—	4	16	no	—
1037	C₂×D₄	—	4	16	no	—
1038	C₂×D₄	—	8	8	no	—
1039	C₂×D₄	—	8	8	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	2	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	2	2	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	2	no	—
1054	C₂²×C₄	—	2	8	no	—
1055	C₂²×C₄	—	4	2	no	—
1056	C₂²×C₄	—	4	2	no	—
1057	C₂²×C₄	—	4	2	no	—
1058	C₂²×C₄	—	4	2	no	—
1059	C₂²×C₄	—	4	4	no	—
1060	C₂²×C₄	—	4	4	no	—
1061	C₂²×C₄	—	4	2	no	—
1062	C₂²×C₄	—	4	2	no	—
1063	C₂²×C₄	—	4	2	no	—
1064	C₂²×C₄	—	4	2	no	—
1065	C₂²×C₄	—	4	2	no	—
1066	C₂²×C₄	—	4	2	no	—
1067	C₂²×C₄	—	4	2	no	—
1068	C₂²×C₄	—	4	2	no	—
1069	C₂²×C₄	—	4	2	no	—
1070	C₂²×C₄	—	4	2	no	—
1071	C₂²×C₄	—	4	2	no	—
1072	C₂²×C₄	—	4	2	no	—
1073	C₂²×C₄	—	4	2	no	—
1074	C₂²×C₄	—	4	2	no	—
1075	C₂²×C₄	—	4	4	no	—
1076	C₂²×C₄	—	4	4	no	—
1077	C₂²×C₄	—	4	4	no	—
1078	C₂²×C₄	—	4	4	no	—
1079	C₂²×C₄	—	4	4	no	—
1080	C₂²×C₄	—	4	4	no	—
1081	C₂²×C₄	—	4	4	no	—
1082	C₂²×C₄	—	4	4	no	—
1083	C₂²×C₄	—	4	4	no	—
1084	C₂²×C₄	—	4	4	no	—
1085	C₂²×C₄	C₂⁵	1	2	yes	—
1086	C₂²×C₄	C₂⁵	1	2	yes	—
1087	C₂²×C₄	C₂⁵	1	2	yes	—
1088	C₂²×C₄	C₂⁵	1	4	yes	—
1089	C₂²×C₄	C₂⁵	1	4	yes	—
1090	C₂²×C₄	C₂⁵	1	2	yes	—
1091	C₂²×C₄	C₂⁵	1	2	yes	—
1092	C₂²×C₄	C₂⁵	1	2	yes	—
1093	C₂²×C₄	C₂⁵	1	4	yes	—
1094	C₂²×C₄	C₂⁵	1	4	yes	—
1095	C₂²×C₄	C₂⁵	1	4	yes	—
1096	C₂²×C₄	C₂⁵	1	4	yes	—
1097	C₂²×C₄	C₂⁵	1	2	yes	—
1098	C₂²×C₄	C₂⁵	1	2	yes	—
1099	C₂²×C₄	C₂⁵	1	2	yes	—
1100	C₂²×C₄	C₂⁵	1	2	yes	—
1101	C₂²×C₄	C₂⁵	1	2	yes	—
1102	C₂²×C₄	C₂⁵	1	2	yes	—
1103	C₂²×C₄	C₂⁵	1	2	yes	—
1104	C₂²×C₄	C₂⁵	1	2	yes	—
1105	C₄⋊C₄	—	4	4	no	—
1106	C₄⋊C₄	—	4	4	no	—
1107	C₄⋊C₄	—	4	4	no	—
1108	C₄⋊C₄	—	4	4	no	—
1109	C₄⋊C₄	—	4	4	no	—
1110	C₄⋊C₄	—	4	2	no	—
1111	C₄⋊C₄	—	4	2	no	—
1112	C₄⋊C₄	—	4	2	no	—
1113	C₄⋊C₄	—	4	2	no	—
1114	C₄⋊C₄	—	4	4	no	—
1115	C₄⋊C₄	—	4	4	no	—
1116	C₄⋊C₄	—	4	4	no	—
1117	C₄⋊C₄	—	4	2	no	—
1118	C₄⋊C₄	—	4	2	no	—
1119	C₄⋊C₄	—	4	4	no	—
1120	C₄⋊C₄	—	4	4	no	—
1121	C₄⋊C₄	—	4	4	no	—
1122	C₄⋊C₄	—	4	4	no	—
1123	C₄⋊C₄	—	4	4	no	—
1124	C₄⋊C₄	—	4	4	no	—
1125	C₄⋊C₄	—	4	4	no	—
1126	C₄⋊C₄	—	4	4	no	—
1127	C₄⋊C₄	—	4	4	no	—
1128	C₄⋊C₄	—	4	4	no	—
1129	C₄⋊C₄	—	4	4	no	—
1130	C₄⋊C₄	—	4	4	no	—
1131	C₄⋊C₄	—	4	4	no	—
1132	C₄⋊C₄	—	4	4	no	—
1133	C₄⋊C₄	—	4	4	no	—
1134	C₄⋊C₄	—	4	4	no	—
1135	C₄⋊C₄	—	4	4	no	—
1136	C₄⋊C₄	—	4	4	no	—
1137	C₄⋊C₄	—	4	4	no	—
1138	C₄⋊C₄	—	4	4	no	—
1139	C₄⋊C₄	—	4	4	no	—
1140	C₄⋊C₄	—	4	4	no	—
1141	C₄⋊C₄	—	4	4	no	—
1142	C₂²⋊C₄	—	2	4	no	—
1143	C₂²⋊C₄	—	2	4	no	—
1144	C₂²⋊C₄	—	2	4	no	—
1145	C₂²⋊C₄	—	2	4	no	—
1146	C₂²⋊C₄	—	2	4	no	—
1147	C₂²⋊C₄	—	2	4	no	—
1148	C₂²⋊C₄	—	2	4	no	—
1149	C₂²⋊C₄	—	2	4	no	—
1150	C₂²⋊C₄	—	2	4	no	—
1151	C₂²⋊C₄	—	2	4	no	—
1152	C₂²⋊C₄	—	2	8	no	—
1153	C₂²⋊C₄	—	2	8	no	—
1154	C₂²⋊C₄	—	2	8	no	—
1155	C₂²⋊C₄	—	2	8	no	—
1156	C₂²⋊C₄	—	2	8	no	—
1157	C₂²⋊C₄	—	2	8	no	—
1158	C₂²⋊C₄	—	2	8	no	—
1159	C₂²⋊C₄	—	4	2	no	—
1160	C₂²⋊C₄	—	4	4	no	—
1161	C₂²⋊C₄	—	4	2	no	—
1162	C₂²⋊C₄	—	4	4	no	—
1163	C₂²⋊C₄	—	4	4	no	—
1164	C₂²⋊C₄	—	4	4	no	—
1165	C₂²⋊C₄	—	4	2	no	—
1166	C₂²⋊C₄	—	4	4	no	—
1167	C₂²⋊C₄	—	4	2	no	—
1168	C₂²⋊C₄	—	4	2	no	—
1169	C₂²⋊C₄	—	4	2	no	—
1170	C₂²⋊C₄	—	4	2	no	—
1171	C₂²⋊C₄	—	4	2	no	—
1172	C₂²⋊C₄	—	4	4	no	—
1173	C₂²⋊C₄	—	4	4	no	—
1174	C₂²⋊C₄	—	4	4	no	—
1175	C₂²⋊C₄	—	4	4	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	—	4	2	no	—
1181	C₂²⋊C₄	—	4	4	no	—
1182	C₂²⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	4	4	no	—
1184	C₂²⋊C₄	—	4	4	no	—
1185	C₂²⋊C₄	—	4	4	no	—
1186	C₂²⋊C₄	—	4	2	no	—
1187	C₂²⋊C₄	—	4	4	no	—
1188	C₂²⋊C₄	—	4	2	no	—
1189	C₂²⋊C₄	—	4	2	no	—
1190	C₂²⋊C₄	—	4	4	no	—
1191	C₂²⋊C₄	—	4	4	no	—
1192	C₂²⋊C₄	—	4	4	no	—
1193	C₂²⋊C₄	—	4	4	no	—
1194	C₂²⋊C₄	—	4	4	no	—
1195	C₂²⋊C₄	—	4	2	no	—
1196	C₂²⋊C₄	—	4	4	no	—
1197	C₂²⋊C₄	—	4	4	no	—
1198	C₂²⋊C₄	—	4	2	no	—
1199	C₂²⋊C₄	—	4	4	no	—
1200	C₂²⋊C₄	—	4	2	no	—
1201	C₂²⋊C₄	—	4	2	no	—
1202	C₂²⋊C₄	—	4	2	no	—
1203	C₂²⋊C₄	—	4	2	no	—
1204	C₂²⋊C₄	—	4	4	no	—
1205	C₂²⋊C₄	—	4	4	no	—
1206	C₂²⋊C₄	—	4	2	no	—
1207	C₂²⋊C₄	—	4	4	no	—
1208	C₂²⋊C₄	—	4	2	no	—
1209	C₂²⋊C₄	—	4	2	no	—
1210	C₂²⋊C₄	—	4	2	no	—
1211	C₂²⋊C₄	—	4	2	no	—
1212	C₂²⋊C₄	—	4	2	no	—
1213	C₂²⋊C₄	—	4	2	no	—
1214	C₂²⋊C₄	—	4	2	no	—
1215	C₂²⋊C₄	—	4	4	no	—
1216	C₄²	—	4	4	no	—
1217	C₄²	—	4	4	no	—
1218	C₄²	—	4	4	no	—
1219	C₄²	—	4	4	no	—
1220	C₄²	—	4	2	no	—
1221	C₄²	—	4	2	no	—
1222	C₄²	—	4	2	no	—
1223	C₄²	—	4	2	no	—
1224	C₄²	—	4	4	no	—
1225	C₄²	—	4	4	no	—
1226	C₄²	—	4	4	no	—
1227	C₄²	—	4	4	no	—
1228	C₂³	—	2	8	no	—
1229	C₂³	—	2	8	no	—
1230	C₂³	—	2	2	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	2	no	—
1233	C₂³	—	2	2	no	—
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	4	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	2	4	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	2	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	2	no	—
1248	C₂³	—	2	2	no	—
1249	C₂³	—	2	4	no	—
1250	C₂³	—	2	4	no	—
1251	C₂³	—	2	4	no	—
1252	C₂³	—	2	4	no	—
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	2	no	—
1255	C₂³	—	2	2	no	—
1256	C₂³	—	2	2	no	—
1257	C₂³	—	4	4	no	—
1258	C₂³	—	4	4	no	—
1259	C₂³	—	4	4	no	—
1260	C₂³	—	4	16	no	—
1261	C₂³	—	4	4	no	—
1262	C₂³	—	4	16	no	—
1263	C₂³	—	4	4	no	—
1264	C₂³	—	8	2	no	—
1265	C₂³	—	8	2	no	—
1266	C₂³	—	8	2	no	—
1267	C₂³	—	8	2	no	—
1268	C₂³	—	8	8	no	—
1269	C₂³	—	8	8	no	—
1270	C₂³	—	8	2	no	—
1271	C₂³	—	8	2	no	—
1272	C₂³	—	8	8	no	—
1273	C₂³	—	8	8	no	—
1274	C₂³	—	8	8	no	—
1275	C₂³	—	8	2	no	—
1276	C₂³	—	8	2	no	—
1277	C₂³	—	8	8	no	—
1278	C₂³	—	8	8	no	—
1279	C₂³	—	8	8	no	—
1280	C₂³	—	8	64	no	—
1281	C₂³	—	16	4	no	—
1282	C₂³	—	16	4	no	—
1283	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1284	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1285	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1286	C₂³	#585	1	4	yes	—
1287	C₂³	#585	1	4	yes	—
1288	C₂³	C₂⁶	1	1	yes	characteristic
1289	Q₈	—	8	8	no	—
1290	D₄	—	4	8	no	—
1291	D₄	—	4	8	no	—
1292	D₄	—	4	8	no	—
1293	D₄	—	4	8	no	—
1294	D₄	—	8	8	no	—
1295	D₄	—	8	8	no	—
1296	D₄	—	8	4	no	—
1297	D₄	—	8	4	no	—
1298	D₄	—	8	4	no	—
1299	D₄	—	8	4	no	—
1300	D₄	—	16	2	no	—
1301	D₄	—	16	2	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	2	no	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	4	no	—
1317	C₂×C₄	—	2	4	no	—
1318	C₂×C₄	—	2	4	no	—
1319	C₂×C₄	—	2	4	no	—
1320	C₂×C₄	—	2	4	no	—
1321	C₂×C₄	—	2	4	no	—
1322	C₂×C₄	—	2	4	no	—
1323	C₂×C₄	—	2	4	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	4	no	—
1326	C₂×C₄	—	2	4	no	—
1327	C₂×C₄	—	2	4	no	—
1328	C₂×C₄	—	2	4	no	—
1329	C₂×C₄	—	2	4	no	—
1330	C₂×C₄	—	2	4	no	—
1331	C₂×C₄	—	2	4	no	—
1332	C₂×C₄	—	2	4	no	—
1333	C₂×C₄	—	2	4	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	2	4	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	4	no	—
1341	C₂×C₄	—	2	4	no	—
1342	C₂×C₄	—	2	4	no	—
1343	C₂×C₄	—	2	4	no	—
1344	C₂×C₄	—	2	4	no	—
1345	C₂×C₄	—	2	4	no	—
1346	C₂×C₄	—	2	4	no	—
1347	C₂×C₄	—	2	4	no	—
1348	C₂×C₄	—	2	4	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	2	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	4	4	no	—
1353	C₂×C₄	—	4	4	no	—
1354	C₂×C₄	—	4	4	no	—
1355	C₂×C₄	—	4	4	no	—
1356	C₂×C₄	—	8	2	no	—
1357	C₂×C₄	—	8	2	no	—
1358	C₂×C₄	—	8	2	no	—
1359	C₂×C₄	—	8	2	no	—
1360	C₂×C₄	—	8	2	no	—
1361	C₂×C₄	—	8	2	no	—
1362	C₂×C₄	—	8	2	no	—
1363	C₂×C₄	—	8	2	no	—
1364	C₂×C₄	—	8	8	no	—
1365	C₂×C₄	—	8	2	no	—
1366	C₂×C₄	—	8	2	no	—
1367	C₂×C₄	—	16	2	no	—
1368	C₂×C₄	—	16	2	no	—
1369	C₂×C₄	—	16	2	no	—
1370	C₂×C₄	—	16	2	no	—
1371	C₂×C₄	—	16	4	no	—
1372	C₂×C₄	—	16	4	no	—
1373	C₂²	—	2	2	no	—
1374	C₂²	—	2	2	no	—
1375	C₂²	—	2	2	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	2	2	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	4	no	—
1380	C₂²	—	2	4	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	8	no	—
1385	C₂²	—	2	8	no	—
1386	C₂²	—	4	2	no	—
1387	C₂²	—	4	2	no	—
1388	C₂²	—	4	2	no	—
1389	C₂²	—	4	2	no	—
1390	C₂²	—	4	4	no	—
1391	C₂²	—	4	4	no	—
1392	C₂²	—	4	4	no	—
1393	C₂²	—	4	4	no	—
1394	C₂²	—	4	4	no	—
1395	C₂²	—	4	2	no	—
1396	C₂²	—	4	2	no	—
1397	C₂²	—	4	2	no	—
1398	C₂²	—	4	2	no	—
1399	C₂²	—	4	2	no	—
1400	C₂²	—	4	2	no	—
1401	C₂²	—	4	4	no	—
1402	C₂²	—	4	4	no	—
1403	C₂²	—	4	4	no	—
1404	C₂²	—	4	4	no	—
1405	C₂²	—	8	8	no	—
1406	C₂²	—	8	8	no	—
1407	C₂²	—	8	32	no	—
1408	C₂²	—	8	8	no	—
1409	C₂²	—	16	4	no	—
1410	C₂²	—	16	4	no	—
1411	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1412	C₂²	C₂×#585	1	2	yes	—
1413	C₂²	C₂×#585	1	2	yes	—
1414	C₂²	H(7,𝔽₂)	1	2	yes	—
1415	C₄	—	4	2	no	—
1416	C₄	—	4	2	no	—
1417	C₄	—	4	2	no	—
1418	C₄	—	4	2	no	—
1419	C₄	—	4	2	no	—
1420	C₄	—	4	2	no	—
1421	C₄	—	4	2	no	—
1422	C₄	—	4	2	no	—
1423	C₄	—	4	2	no	—
1424	C₄	—	4	2	no	—
1425	C₄	—	4	2	no	—
1426	C₄	—	4	2	no	—
1427	C₄	—	4	2	no	—
1428	C₄	—	4	2	no	—
1429	C₄	—	4	4	no	—
1430	C₄	—	4	4	no	—
1431	C₄	—	4	4	no	—
1432	C₄	—	4	4	no	—
1433	C₄	—	4	4	no	—
1434	C₄	—	4	4	no	—
1435	C₂	—	4	4	no	—
1436	C₂	—	4	4	no	—
1437	C₂	—	4	2	no	—
1438	C₂	—	4	2	no	—
1439	C₂	—	4	2	no	—
1440	C₂	—	8	2	no	—
1441	C₂	—	8	2	no	—
1442	C₂	#62820	1	1	yes	characteristic
1443	C₂	#62820	1	1	yes	characteristic
1444	C₂	#62862	1	1	yes	characteristic
1445	C₂	#62906	1	4	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#36714	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. #57645	C₂	semidirect
2. #57603	C₂	semidirect
3. #57592	C₂	semidirect
4. #48917	C₂	semidirect
5. #48507	C₂	semidirect
6. #48441	C₂	semidirect
7. #47197	C₂	semidirect
8. #47195	C₂	semidirect
9. #46999	C₂	semidirect
10. #46953	C₂	semidirect
11. #46742	C₂	semidirect
12. #46390	C₂	semidirect
13. #46388	C₂	semidirect
14. #46386	C₂	semidirect
15. #46386	C₂	semidirect
16. #39086	C₂	semidirect
17. #39012	C₂	semidirect
18. #37848	C₂	semidirect
19. #37119	C₂	semidirect
20. #36969	C₂	semidirect
22. #35452	C₂	semidirect
23. #35452	C₂	semidirect
24. #35451	C₂	semidirect
25. #35451	C₂	semidirect
26. #35350	C₂	semidirect
27. #35350	C₂	semidirect
29. C₂²×#126	C₂²	semidirect
30. C₂²×#124	C₂²	semidirect
34. #2854	C₂²	semidirect
35. #2853	C₂²	semidirect
37. #2842	C₂²	semidirect
38. #2842	C₂²	semidirect
39. #2841	C₂²	semidirect
40. #2838	C₂²	semidirect
41. #2837	C₂²	semidirect
42. #2831	C₂²	semidirect
43. #2801	C₂²	semidirect
44. #2800	C₂²	semidirect
45. #2798	C₂²	semidirect
46. #2796	C₂²	semidirect
47. #2788	C₂²	semidirect
48. #2786	C₂²	semidirect
49. #2781	C₂²	semidirect
50. #2779	C₂²	semidirect
51. #2773	C₂²	semidirect
52. #2771	C₂²	semidirect
53. #2765	C₂²	semidirect
54. #2761	C₂²	semidirect
55. #2750	C₂²	semidirect
56. #2750	C₂²	semidirect
57. #2748	C₂²	semidirect
58. #2747	C₂²	semidirect
59. #2746	C₂²	semidirect
60. #2746	C₂²	semidirect
61. #2745	C₂²	semidirect
62. #2743	C₂²	semidirect
63. #2743	C₂²	semidirect
64. #2743	C₂²	semidirect
65. #2743	C₂²	semidirect
66. #2742	C₂²	semidirect
67. #2741	C₂²	semidirect
68. #2740	C₂²	semidirect
69. #2740	C₂²	semidirect
70. #2739	C₂²	semidirect
71. #2736	C₂²	semidirect
72. #2735	C₂²	semidirect
73. #2735	C₂²	semidirect
74. #2735	C₂²	semidirect
75. #2720	C₂²	semidirect
76. #2720	C₂²	semidirect
77. #2718	C₂²	semidirect
78. #2718	C₂²	semidirect
79. #2717	C₂²	semidirect
80. #2707	C₂²	semidirect
81. #2707	C₂²	semidirect
82. #2707	C₂²	semidirect
84. #2697	C₂²	semidirect
85. #2695	C₂²	semidirect
86. #2695	C₂²	semidirect
87. #2694	C₂²	semidirect
88. #2694	C₂²	semidirect
89. #2693	C₂²	semidirect
90. #2693	C₂²	semidirect
91. #2690	C₂²	semidirect
92. #2686	C₂²	semidirect
93. #2686	C₂²	semidirect
95. #2685	C₂²	semidirect
96. #2685	C₂²	semidirect
101. #2654	C₂²	semidirect
102. #2652	C₂²	semidirect
103. #2650	C₂²	semidirect
104. #2649	C₂²	semidirect
105. #2626	C₂²	semidirect
107. #2622	C₂²	semidirect
108. #2618	C₂²	semidirect
109. #2614	C₂²	semidirect
110. #2611	C₂²	semidirect
111. #2596	C₂²	semidirect
112. #2596	C₂²	semidirect
113. #2595	C₂²	semidirect
114. #2593	C₂²	semidirect
115. #2591	C₂²	semidirect
116. #2587	C₂²	semidirect
117. #2579	C₂²	semidirect
118. #2579	C₂²	semidirect
119. #2576	C₂²	semidirect
120. #2562	C₂²	semidirect
121. #2561	C₂²	semidirect
122. #2558	C₂²	semidirect
123. #2556	C₂²	semidirect
124. #2553	C₂²	semidirect
126. #2534	C₂²	semidirect
127. #2534	C₂²	semidirect
128. #2534	C₂²	semidirect
129. #2531	C₂²	semidirect
130. #2530	C₂²	semidirect
131. #2526	C₂²	semidirect
132. #2526	C₂²	semidirect
133. #2516	C₂²	semidirect
134. #2501	C₂²	semidirect
135. #2497	C₂²	semidirect
136. #2486	C₂²	semidirect
137. #2486	C₂²	semidirect
138. #2485	C₂²	semidirect
139. #2483	C₂²	semidirect
140. #2483	C₂²	semidirect
141. #2483	C₂²	semidirect
142. #2483	C₂²	semidirect
143. #2482	C₂²	semidirect
144. #2482	C₂²	semidirect
145. #2482	C₂²	semidirect
146. #2482	C₂²	semidirect
147. #2482	C₂²	semidirect
148. #2480	C₂²	semidirect
149. #2480	C₂²	semidirect
150. #2480	C₂²	semidirect
151. #2480	C₂²	semidirect
152. #2478	C₂²	semidirect
153. #2478	C₂²	semidirect
154. #2475	C₂²	semidirect
155. #2474	C₂²	semidirect
156. #2474	C₂²	semidirect
159. #2470	C₂²	semidirect
160. #2470	C₂²	semidirect
161. #2468	C₂²	semidirect
162. #2468	C₂²	semidirect
163. #2466	C₂²	semidirect
164. #2466	C₂²	semidirect
165. #2461	C₂²	semidirect
166. #2461	C₂²	semidirect
167. #2459	C₂²	semidirect
168. #2459	C₂²	semidirect
169. #2457	C₂²	semidirect
170. #2457	C₂²	semidirect
171. #2454	C₂²	semidirect
172. #2437	C₂²	semidirect
178. #2418	C₂²	semidirect
179. #2418	C₂²	semidirect
180. #2418	C₂²	semidirect
181. #2418	C₂²	semidirect
182. #2418	C₂²	semidirect
183. #2418	C₂²	semidirect
184. #2412	C₂²	semidirect
185. #2412	C₂²	semidirect
186. #2412	C₂²	semidirect
189. #2411	C₂²	semidirect
190. #2409	C₂²	semidirect
191. #2409	C₂²	semidirect
202. #2405	C₂²	semidirect
203. #2405	C₂²	semidirect
206. #2376	C₂²	semidirect
207. #2373	C₂²	semidirect
208. #2358	C₂²	semidirect
209. #2342	C₂²	semidirect
210. #2322	C₂²	semidirect
211. #2322	C₂²	semidirect
212. #2321	C₂²	semidirect
213. #2321	C₂²	semidirect
214. #2321	C₂²	semidirect
215. #2319	C₂²	semidirect
216. #2315	C₂²	semidirect
217. #2315	C₂²	semidirect
218. #2314	C₂²	semidirect
219. #2312	C₂²	semidirect
220. #2312	C₂²	semidirect
221. #2312	C₂²	semidirect
222. #2312	C₂²	semidirect
223. #2312	C₂²	semidirect
224. #2312	C₂²	semidirect
228. #2308	C₂²	semidirect
229. C₄×#123	C₂²	semidirect
230. C₄×#123	C₂²	semidirect
231. C₄×#123	C₂²	semidirect
232. C₄×#123	C₂²	semidirect
233. C₂×#379	C₂²	semidirect
234. C₂×#379	C₂²	semidirect
236. C₂³×Q₈	C₂³	semidirect
245. C₂×#126	C₂³	semidirect
246. C₂×#125	C₂³	semidirect
247. C₂×#125	C₂³	semidirect
250. C₂×#124	C₂³	semidirect
265. C₂×#123	C₂³	semidirect
266. C₂×#123	C₂³	semidirect
298. C₂²×C₄⋊C₄	C₂³	semidirect
299. C₂²×C₄⋊C₄	C₂³	semidirect
300. C₂²×C₄⋊C₄	C₂³	semidirect
317. C₂²×C₂²⋊C₄	C₂³	semidirect
318. C₂²×C₂²⋊C₄	C₂³	semidirect
319. C₂²×C₂²⋊C₄	C₂³	semidirect
320. C₂²×C₄²	C₂³	semidirect
321. C₂²×C₄²	C₂³	semidirect
322. #401	C₂³	semidirect
323. #400	C₂³	semidirect
324. #400	C₂³	semidirect
325. #400	C₂³	semidirect
326. #400	C₂³	semidirect
327. #400	C₂³	semidirect
328. #400	C₂³	semidirect
329. #400	C₂³	semidirect
330. #400	C₂³	semidirect
331. #400	C₂³	semidirect
332. #400	C₂³	semidirect
333. #400	C₂³	semidirect
334. #400	C₂³	semidirect
335. #400	C₂³	semidirect
336. #400	C₂³	semidirect
345. #399	C₂³	semidirect
346. #399	C₂³	semidirect
347. #398	C₂³	semidirect
348. #398	C₂³	semidirect
349. #398	C₂³	semidirect
350. #398	C₂³	semidirect
351. #398	C₂³	semidirect
352. #398	C₂³	semidirect
353. #398	C₂³	semidirect
354. #398	C₂³	semidirect
355. #398	C₂³	semidirect
376. #397	C₂³	semidirect
377. #397	C₂³	semidirect
378. #397	C₂³	semidirect
389. #396	C₂³	semidirect
390. #396	C₂³	semidirect
391. #396	C₂³	semidirect
392. #396	C₂³	semidirect
393. #396	C₂³	semidirect
394. #396	C₂³	semidirect
395. #396	C₂³	semidirect
396. #395	C₂³	semidirect
397. #395	C₂³	semidirect
398. #395	C₂³	semidirect
399. #395	C₂³	semidirect
430. #391	C₂³	semidirect
431. #391	C₂³	semidirect
440. #389	C₂³	semidirect
441. #389	C₂³	semidirect
442. #389	C₂³	semidirect
443. #389	C₂³	semidirect
444. #389	C₂³	semidirect
445. #389	C₂³	semidirect
446. #389	C₂³	semidirect
447. #389	C₂³	semidirect
448. #389	C₂³	semidirect
449. #389	C₂³	semidirect
450. #389	C₂³	semidirect
489. #388	C₂³	semidirect
490. #388	C₂³	semidirect
491. #388	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. #388	C₂³	semidirect
503. #388	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
552. #386	C₂³	semidirect
553. #386	C₂³	semidirect
554. #386	C₂³	semidirect
578. #385	C₂³	semidirect
579. #385	C₂³	semidirect
580. #385	C₂³	semidirect
581. #385	C₂³	semidirect
582. #385	C₂³	semidirect
583. #385	C₂³	semidirect
584. #385	C₂³	semidirect
585. #385	C₂³	semidirect
586. #385	C₂³	semidirect
587. #385	C₂³	semidirect
588. #385	C₂³	semidirect
589. #384	C₂³	semidirect
590. #382	C₂³	semidirect
595. #381	C₂³	semidirect
596. #381	C₂³	semidirect
597. #381	C₂³	semidirect
598. #381	C₂³	semidirect
599. #381	C₂³	semidirect
600. #381	C₂³	semidirect
601. #381	C₂³	semidirect
602. #381	C₂³	semidirect
603. #381	C₂³	semidirect
604. #381	C₂³	semidirect
614. #380	C₂³	semidirect
615. #380	C₂³	semidirect
616. #380	C₂³	semidirect
617. #380	C₂³	semidirect
618. #380	C₂³	semidirect
619. #380	C₂³	semidirect
620. #380	C₂³	semidirect
621. #380	C₂³	semidirect
622. #380	C₂³	semidirect
646. #379	C₂³	semidirect
647. #379	C₂³	semidirect
648. C₄×C₄⋊C₄	C₂³	semidirect
649. C₄×C₄⋊C₄	C₂³	semidirect
650. C₄×C₄⋊C₄	C₂³	semidirect
651. C₄×C₄⋊C₄	C₂³	semidirect
652. C₄×C₄⋊C₄	C₂³	semidirect
658. C₄×C₂²⋊C₄	C₂³	semidirect
659. C₄×C₂²⋊C₄	C₂³	semidirect
660. C₄×C₂²⋊C₄	C₂³	semidirect
661. C₄×C₂²⋊C₄	C₂³	semidirect
662. C₄×C₂²⋊C₄	C₂³	semidirect
663. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#57645	2
#57603	2
#57592	2
#48917	2
#48507	2
#48441	2
#47197	2
#47195	2
#46999	2
#46953	2
#46742	2
#46390	2
#46388	2
#46386	2
#39086	2
#39012	2
#37848	2
#37119	2
#36969	2
#36714	2
#35452	2
#35451	2
#35350	2