Subgroups — #9478355

Order 512.

5094 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#57946	C₂	1	4	yes	maximal, complemented
2	#57861	C₂	1	4	yes	maximal, complemented
3	#57166	C₂	1	4	yes	maximal, complemented
4	#57162	C₂	1	4	yes	maximal, complemented
5	#57161	C₂	1	4	yes	maximal, complemented
6	#57160	C₂	1	4	yes	maximal, complemented
7	#56356	C₂	1	4	yes	maximal, complemented
8	#53485	C₂	1	4	yes	maximal, complemented
9	#53483	C₂	1	4	yes	maximal, complemented
10	#53177	C₂	1	4	yes	maximal, complemented
11	#53171	C₂	1	4	yes	maximal, complemented
12	#53158	C₂	1	4	yes	maximal, complemented
13	#47563	C₂	1	1	yes	maximal, characteristic, complemented
14	#46998	C₂	1	1	yes	maximal, characteristic, complemented
15	#46390	C₂	1	1	yes	maximal, characteristic, complemented
16	#46389	C₂	1	1	yes	maximal, characteristic, complemented
17	#46387	C₂	1	1	yes	maximal, characteristic, complemented
18	#46385	C₂	1	1	yes	maximal, characteristic, complemented
19	#37117	C₂	1	1	yes	maximal, characteristic, complemented
20	#36965	C₂	1	1	yes	maximal, characteristic, complemented
21	#36721	C₂	1	1	yes	maximal, characteristic, complemented
22	#36721	C₂	1	1	yes	maximal, characteristic, complemented
23	#36717	C₂	1	1	yes	maximal, characteristic, complemented
24	#36715	C₂	1	1	yes	maximal, characteristic, complemented
25	#36714	C₂	1	1	yes	maximal, characteristic, complemented
26	#36714	C₂	1	1	yes	maximal, characteristic, complemented
27	#36714	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#534	C₂²	1	1	yes	characteristic
29	C₂×#534	C₂²	1	1	yes	characteristic
30	C₂×#534	C₂²	1	1	yes	characteristic
31	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#121	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#120	C₂²	1	1	yes	characteristic
34	#2849	C₂²	1	2	yes	complemented
35	#2849	C₂²	1	2	yes	complemented
36	#2849	C₂²	1	2	yes	complemented
37	#2847	C₂²	1	2	yes	complemented
38	#2847	C₂²	1	2	yes	complemented
39	#2847	C₂²	1	2	yes	complemented
40	#2846	C₂²	1	2	yes	complemented
41	#2846	C₂²	1	2	yes	complemented
42	#2846	C₂²	1	2	yes	complemented
43	#2842	C₂²	1	1	yes	characteristic, complemented
44	#2840	C₂²	1	1	yes	characteristic, complemented
45	#2837	C₂²	1	4	yes	complemented
46	#2836	C₂²	1	4	yes	complemented
47	#2831	C₂²	1	4	yes	complemented
48	#2829	C₂²	1	4	yes	complemented
49	#2829	C₂²	1	4	yes	complemented
50	#2829	C₂²	1	4	yes	complemented
51	#2828	C₂²	1	4	yes	complemented
52	#2820	C₂²	1	4	yes	complemented
53	#2814	C₂²	1	4	yes	complemented
54	#2803	C₂²	1	4	yes	complemented
55	#2797	C₂²	1	4	yes	complemented
56	#2797	C₂²	1	4	yes	complemented
57	#2786	C₂²	1	4	yes	complemented
58	#2783	C₂²	1	4	yes	complemented
59	#2781	C₂²	1	4	yes	complemented
60	#2779	C₂²	1	4	yes	complemented
61	#2761	C₂²	1	4	yes	complemented
62	#2757	C₂²	1	4	yes	complemented
63	#2756	C₂²	1	4	yes	complemented
64	#2752	C₂²	1	4	yes	complemented
65	#2751	C₂²	1	4	yes	complemented
66	#2749	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	#2737	C₂²	1	4	yes	complemented
71	#2737	C₂²	1	4	yes	complemented
72	#2736	C₂²	1	4	yes	complemented
73	#2735	C₂²	1	4	yes	complemented
74	#2735	C₂²	1	4	yes	complemented
75	#2735	C₂²	1	4	yes	complemented
76	#2724	C₂²	1	4	yes	complemented
77	#2715	C₂²	1	4	yes	complemented
78	#2714	C₂²	1	4	yes	complemented
79	#2711	C₂²	1	4	yes	complemented
80	#2710	C₂²	1	4	yes	complemented
81	#2709	C₂²	1	4	yes	complemented
82	#2708	C₂²	1	4	yes	complemented
83	#2707	C₂²	1	4	yes	complemented
84	#2706	C₂²	1	4	yes	complemented
85	#2706	C₂²	1	4	yes	complemented
86	#2706	C₂²	1	4	yes	complemented
87	#2706	C₂²	1	4	yes	complemented
88	#2705	C₂²	1	4	yes	complemented
89	#2705	C₂²	1	4	yes	complemented
90	#2703	C₂²	1	4	yes	complemented
91	#2703	C₂²	1	4	yes	complemented
92	#2701	C₂²	1	4	yes	complemented
93	#2701	C₂²	1	4	yes	complemented
94	#2701	C₂²	1	4	yes	complemented
95	#2699	C₂²	1	4	yes	complemented
96	#2697	C₂²	1	4	yes	complemented
97	#2697	C₂²	1	4	yes	complemented
98	#2697	C₂²	1	4	yes	complemented
99	#2697	C₂²	1	4	yes	complemented
100	#2697	C₂²	1	4	yes	complemented
101	#2697	C₂²	1	4	yes	complemented
102	#2696	C₂²	1	4	yes	complemented
103	#2694	C₂²	1	4	yes	complemented
104	#2691	C₂²	1	4	yes	complemented
105	#2688	C₂²	1	4	yes	complemented
106	#2686	C₂²	1	4	yes	complemented
107	#2685	C₂²	1	4	yes	complemented
108	#2685	C₂²	1	4	yes	complemented
109	#2685	C₂²	1	4	yes	complemented
110	#2685	C₂²	1	4	yes	complemented
111	#2684	C₂²	1	4	yes	complemented
112	#2684	C₂²	1	4	yes	complemented
113	#2684	C₂²	1	4	yes	complemented
114	#2682	C₂²	1	4	yes	complemented
115	#2679	C₂²	1	4	yes	complemented
116	#2679	C₂²	1	4	yes	complemented
117	#2679	C₂²	1	4	yes	complemented
118	#2678	C₂²	1	4	yes	—
119	#2678	C₂²	1	4	yes	—
120	#2678	C₂²	1	4	yes	complemented
121	#2678	C₂²	1	4	yes	complemented
122	#2678	C₂²	1	4	yes	complemented
123	#2678	C₂²	1	4	yes	complemented
124	#2678	C₂²	1	4	yes	complemented
125	#2678	C₂²	1	4	yes	complemented
126	#2678	C₂²	1	4	yes	complemented
127	#2678	C₂²	1	4	yes	complemented
128	#2678	C₂²	1	4	yes	complemented
129	#2678	C₂²	1	4	yes	complemented
130	#2678	C₂²	1	4	yes	complemented
131	#2678	C₂²	1	4	yes	complemented
132	#2678	C₂²	1	4	yes	complemented
133	#2676	C₂²	1	4	yes	complemented
134	#2672	C₂²	1	4	yes	complemented
135	#2671	C₂²	1	4	yes	complemented
136	#2670	C₂²	1	4	yes	complemented
137	#2670	C₂²	1	4	yes	complemented
138	#2670	C₂²	1	4	yes	complemented
139	#2670	C₂²	1	4	yes	complemented
140	#2670	C₂²	1	4	yes	complemented
141	#2669	C₂²	1	4	yes	—
142	#2669	C₂²	1	4	yes	complemented
143	#2669	C₂²	1	4	yes	complemented
144	#2669	C₂²	1	4	yes	complemented
145	#2668	C₂²	1	4	yes	complemented
146	#2668	C₂²	1	4	yes	complemented
147	#2668	C₂²	1	4	yes	complemented
148	#2661	C₂²	1	4	yes	complemented
149	#2651	C₂²	1	4	yes	complemented
150	#2651	C₂²	1	4	yes	complemented
151	#2648	C₂²	1	4	yes	complemented
152	#2644	C₂²	1	4	yes	complemented
153	#2637	C₂²	1	4	yes	complemented
154	#2623	C₂²	1	2	yes	complemented
155	#2622	C₂²	1	2	yes	complemented
156	#2622	C₂²	1	2	yes	complemented
157	#2622	C₂²	1	2	yes	complemented
158	#2622	C₂²	1	2	yes	complemented
159	#2618	C₂²	1	2	yes	complemented
160	#2618	C₂²	1	2	yes	complemented
161	#2617	C₂²	1	2	yes	complemented
162	#2613	C₂²	1	2	yes	complemented
163	#2610	C₂²	1	4	yes	complemented
164	#2610	C₂²	1	4	yes	complemented
165	#2610	C₂²	1	4	yes	complemented
166	#2601	C₂²	1	4	yes	complemented
167	#2599	C₂²	1	4	yes	complemented
168	#2591	C₂²	1	2	yes	complemented
169	#2558	C₂²	1	4	yes	complemented
170	#2557	C₂²	1	4	yes	complemented
171	#2554	C₂²	1	4	yes	complemented
172	#2554	C₂²	1	4	yes	complemented
173	#2548	C₂²	1	4	yes	complemented
174	#2539	C₂²	1	4	yes	complemented
175	#2539	C₂²	1	2	yes	complemented
176	#2539	C₂²	1	2	yes	complemented
177	#2531	C₂²	1	4	yes	complemented
178	#2529	C₂²	1	4	yes	complemented
179	#2529	C₂²	1	4	yes	complemented
180	#2518	C₂²	1	4	yes	complemented
181	#2516	C₂²	1	4	yes	complemented
182	#2504	C₂²	1	2	yes	complemented
183	#2504	C₂²	1	2	yes	complemented
184	#2490	C₂²	1	4	yes	complemented
185	#2483	C₂²	1	1	yes	characteristic, complemented
186	#2483	C₂²	1	1	yes	characteristic, complemented
187	#2479	C₂²	1	4	yes	complemented
188	#2477	C₂²	1	4	yes	complemented
189	#2475	C₂²	1	4	yes	complemented
190	#2472	C₂²	1	4	yes	complemented
191	#2471	C₂²	1	4	yes	complemented
192	#2471	C₂²	1	4	yes	complemented
193	#2458	C₂²	1	4	yes	complemented
194	#2458	C₂²	1	4	yes	complemented
195	#2448	C₂²	1	4	yes	complemented
196	#2433	C₂²	1	2	yes	complemented
197	#2426	C₂²	1	4	yes	complemented
198	#2413	C₂²	1	2	yes	complemented
199	#2413	C₂²	1	2	yes	complemented
200	#2413	C₂²	1	2	yes	complemented
201	#2412	C₂²	1	2	yes	complemented
202	#2411	C₂²	1	2	yes	complemented
203	#2411	C₂²	1	2	yes	complemented
204	#2411	C₂²	1	2	yes	complemented
205	#2411	C₂²	1	2	yes	complemented
206	#2411	C₂²	1	2	yes	complemented
207	#2411	C₂²	1	2	yes	complemented
208	#2411	C₂²	1	2	yes	complemented
209	#2410	C₂²	1	2	yes	complemented
210	#2405	C₂²	1	1	yes	characteristic
211	#2405	C₂²	1	1	yes	characteristic
212	#2405	C₂²	1	1	yes	characteristic
213	#2405	C₂²	1	1	yes	characteristic
214	#2405	C₂²	1	1	yes	characteristic
215	#2405	C₂²	1	1	yes	characteristic
216	#2405	C₂²	1	1	yes	characteristic, complemented
217	#2405	C₂²	1	1	yes	characteristic, complemented
218	#2403	C₂²	1	1	yes	characteristic
219	#2403	C₂²	1	1	yes	characteristic
220	#2403	C₂²	1	1	yes	characteristic
221	#2403	C₂²	1	1	yes	characteristic
222	#2403	C₂²	1	1	yes	characteristic
223	#2403	C₂²	1	1	yes	characteristic
224	#2403	C₂²	1	1	yes	characteristic, complemented
225	#2403	C₂²	1	1	yes	characteristic, complemented
226	#2312	C₂²	1	1	yes	characteristic, complemented
227	#2312	C₂²	1	1	yes	characteristic, complemented
228	#2312	C₂²	1	1	yes	characteristic, complemented
229	#2309	C₂²	1	1	yes	characteristic
230	#2309	C₂²	1	1	yes	characteristic
231	#2309	C₂²	1	1	yes	characteristic
232	#2309	C₂²	1	1	yes	characteristic, complemented
233	#2309	C₂²	1	1	yes	characteristic, complemented
234	#2308	C₂²	1	1	yes	characteristic, complemented
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂³×D₄	C₂³	1	1	yes	characteristic
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	C₂³×D₄	C₂³	1	1	yes	characteristic
242	C₂³×D₄	C₂³	1	1	yes	characteristic, complemented
243	C₂⁴×C₄	C₂³	1	1	yes	characteristic, complemented
244	C₂⁴×C₄	C₂³	1	1	yes	characteristic, complemented
245	#534	—	4	4	no	—
246	#534	—	4	4	no	—
247	#534	—	4	4	no	—
248	C₂×#127	C₂³	1	4	yes	—
249	C₂×#126	C₂³	1	4	yes	—
250	C₂×#126	C₂³	1	4	yes	complemented
251	C₂×#125	C₂³	1	4	yes	complemented
252	C₂×#124	C₂³	1	4	yes	—
253	C₂×#124	C₂³	1	4	yes	—
254	C₂×#124	C₂³	1	4	yes	—
255	C₂×#124	C₂³	1	4	yes	complemented
256	C₂×#123	—	4	4	no	—
257	C₂×#123	C₂³	1	2	yes	—
258	C₂×#123	C₂³	1	4	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	2	yes	—
265	C₂×#123	C₂³	1	2	yes	—
266	C₂×#123	C₂³	1	2	yes	—
267	C₂×#123	C₂³	1	4	yes	—
268	C₂×#123	C₂³	1	2	yes	—
269	C₂×#123	C₂³	1	2	yes	—
270	C₂×#123	C₂³	1	2	yes	—
271	C₂×#123	C₂³	1	4	yes	—
272	C₂×#123	C₂³	1	4	yes	complemented
273	C₂×#123	C₂³	1	2	yes	complemented
274	C₂×#123	C₂³	1	2	yes	complemented
275	C₂×#123	C₂³	1	4	yes	complemented
276	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
277	C₂×#121	—	4	4	no	—
278	C₂×#121	C₂³	1	2	yes	—
279	C₂×#121	C₂³	1	2	yes	—
280	C₂×#121	C₂³	1	2	yes	—
281	C₂×#121	C₂³	1	2	yes	—
282	C₂×#121	C₂³	1	4	yes	—
283	C₂×#121	C₂³	1	2	yes	—
284	C₂×#121	C₂³	1	2	yes	—
285	C₂×#121	C₂³	1	4	yes	—
286	C₂×#121	C₂³	1	4	yes	—
287	C₂×#121	C₂³	1	4	yes	—
288	C₂×#121	C₂³	1	4	yes	—
289	C₂×#121	C₂³	1	4	yes	—
290	C₂×#121	C₂³	1	4	yes	complemented
291	C₂×#120	—	4	4	no	—
292	C₂×#120	C₂³	1	2	yes	—
293	C₂×#120	C₂³	1	2	yes	—
294	C₂×#120	C₂³	1	2	yes	—
295	C₂×#120	C₂³	1	2	yes	—
296	C₂×#120	C₂³	1	2	yes	—
297	C₂×#120	C₂³	1	4	yes	—
298	C₂×#120	C₂³	1	4	yes	—
299	C₂×#120	C₂³	1	2	yes	—
300	C₂×#120	C₂³	1	2	yes	—
301	C₂×#120	C₂³	1	2	yes	—
302	C₂×#120	C₂³	1	2	yes	—
303	C₂×#120	C₂³	1	2	yes	—
304	C₂×#120	C₂³	1	2	yes	—
305	C₂×#120	C₂³	1	2	yes	—
306	C₂×#120	C₂³	1	4	yes	—
307	C₂×#120	C₂³	1	4	yes	—
308	C₂×#120	C₂³	1	4	yes	—
309	C₂×#120	C₂³	1	4	yes	—
310	C₂×#120	C₂³	1	4	yes	—
311	C₂×#120	C₂³	1	4	yes	—
312	C₂×#120	C₂³	1	2	yes	—
313	C₂×#120	C₂³	1	2	yes	—
314	C₂×#120	C₂³	1	2	yes	—
315	C₂×#120	C₂³	1	2	yes	—
316	C₂×#120	C₂³	1	2	yes	—
317	C₂×#120	C₂³	1	2	yes	—
318	C₂×#120	C₂³	1	2	yes	complemented
319	C₂×#120	C₂³	1	2	yes	complemented
320	C₂×#120	C₂³	1	2	yes	complemented
321	C₂×#120	C₂³	1	2	yes	complemented
322	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
323	C₂×#117	C₂³	1	2	yes	—
324	C₂×#117	C₂³	1	2	yes	—
325	C₂×#117	C₂³	1	2	yes	—
326	C₂×#117	C₂³	1	2	yes	complemented
327	C₂×#117	C₂³	1	2	yes	complemented
328	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
329	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
330	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
331	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
338	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
339	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
340	#400	C₂³	1	4	yes	complemented
341	#400	C₂³	1	4	yes	complemented
342	#400	C₂³	1	4	yes	complemented
343	#400	C₂³	1	4	yes	complemented
344	#399	C₂³	1	4	yes	—
345	#399	C₂³	1	4	yes	—
346	#399	C₂³	1	4	yes	—
347	#399	C₂³	1	4	yes	complemented
348	#399	C₂³	1	4	yes	complemented
349	#399	C₂³	1	4	yes	complemented
350	#399	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	#398	C₂³	1	4	yes	complemented
357	#398	C₂³	1	4	yes	complemented
358	#398	C₂³	1	4	yes	complemented
359	#398	C₂³	1	4	yes	complemented
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	—
377	#397	C₂³	1	4	yes	—
378	#397	C₂³	1	4	yes	complemented
379	#397	C₂³	1	4	yes	complemented
380	#397	C₂³	1	4	yes	complemented
381	#397	C₂³	1	4	yes	complemented
382	#397	C₂³	1	4	yes	complemented
383	#397	C₂³	1	4	yes	complemented
384	#397	C₂³	1	4	yes	complemented
385	#397	C₂³	1	4	yes	complemented
386	#396	C₂³	1	4	yes	—
387	#396	C₂³	1	4	yes	—
388	#396	C₂³	1	4	yes	—
389	#396	C₂³	1	4	yes	—
390	#396	C₂³	1	4	yes	—
391	#396	C₂³	1	4	yes	—
392	#396	C₂³	1	4	yes	—
393	#396	C₂³	1	4	yes	—
394	#396	C₂³	1	4	yes	—
395	#396	C₂³	1	4	yes	—
396	#396	C₂³	1	4	yes	—
397	#396	C₂³	1	4	yes	—
398	#396	C₂³	1	4	yes	—
399	#396	C₂³	1	4	yes	complemented
400	#396	C₂³	1	4	yes	complemented
401	#396	C₂³	1	4	yes	complemented
402	#396	C₂³	1	4	yes	complemented
403	#396	C₂³	1	4	yes	complemented
404	#395	C₂³	1	4	yes	complemented
405	#395	C₂³	1	4	yes	complemented
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	#394	C₂³	1	4	yes	—
425	#394	C₂³	1	4	yes	—
426	#394	C₂³	1	4	yes	—
427	#394	C₂³	1	4	yes	—
428	#394	C₂³	1	4	yes	—
429	#394	C₂³	1	4	yes	—
430	#394	C₂³	1	4	yes	—
431	#394	C₂³	1	4	yes	—
432	#394	C₂³	1	4	yes	—
433	#394	C₂³	1	4	yes	—
434	#394	C₂³	1	4	yes	—
435	#394	C₂³	1	4	yes	—
436	#394	C₂³	1	4	yes	—
437	#394	C₂³	1	4	yes	—
438	#394	C₂³	1	4	yes	—
439	#394	C₂³	1	4	yes	—
440	#394	C₂³	1	4	yes	—
441	#394	C₂³	1	4	yes	—
442	#394	C₂³	1	4	yes	complemented
443	#394	C₂³	1	4	yes	complemented
444	#394	C₂³	1	4	yes	complemented
445	#394	C₂³	1	4	yes	complemented
446	#394	C₂³	1	4	yes	complemented
447	#393	C₂³	1	4	yes	—
448	#393	C₂³	1	4	yes	—
449	#393	C₂³	1	4	yes	—
450	#393	C₂³	1	4	yes	—
451	#393	C₂³	1	4	yes	complemented
452	#393	C₂³	1	4	yes	complemented
453	#392	C₂³	1	4	yes	—
454	#392	C₂³	1	4	yes	—
455	#392	C₂³	1	4	yes	—
456	#392	C₂³	1	4	yes	—
457	#392	C₂³	1	4	yes	—
458	#392	C₂³	1	4	yes	—
459	#392	C₂³	1	4	yes	—
460	#392	C₂³	1	4	yes	—
461	#392	C₂³	1	4	yes	—
462	#392	C₂³	1	4	yes	—
463	#392	C₂³	1	4	yes	—
464	#392	C₂³	1	4	yes	—
465	#392	C₂³	1	4	yes	—
466	#392	C₂³	1	4	yes	—
467	#392	C₂³	1	4	yes	—
468	#392	C₂³	1	4	yes	—
469	#392	C₂³	1	4	yes	—
470	#392	C₂³	1	4	yes	—
471	#392	C₂³	1	4	yes	complemented
472	#391	C₂³	1	4	yes	complemented
473	#390	C₂³	1	4	yes	—
474	#390	C₂³	1	4	yes	—
475	#390	C₂³	1	4	yes	—
476	#390	C₂³	1	4	yes	—
477	#390	C₂³	1	4	yes	—
478	#390	C₂³	1	4	yes	—
479	#390	C₂³	1	4	yes	—
480	#390	C₂³	1	4	yes	—
481	#390	C₂³	1	4	yes	—
482	#390	C₂³	1	4	yes	—
483	#390	C₂³	1	4	yes	—
484	#390	C₂³	1	4	yes	—
485	#390	C₂³	1	4	yes	—
486	#390	C₂³	1	4	yes	—
487	#390	C₂³	1	4	yes	—
488	#390	C₂³	1	4	yes	—
489	#390	C₂³	1	4	yes	—
490	#390	C₂³	1	4	yes	—
491	#390	C₂³	1	4	yes	—
492	#390	C₂³	1	4	yes	—
493	#390	C₂³	1	4	yes	—
494	#390	C₂³	1	4	yes	complemented
495	#390	C₂³	1	4	yes	complemented
496	#390	C₂³	1	4	yes	complemented
497	#390	C₂³	1	4	yes	complemented
498	#390	C₂³	1	4	yes	complemented
499	#390	C₂³	1	4	yes	complemented
500	#389	C₂³	1	4	yes	complemented
501	#389	C₂³	1	4	yes	complemented
502	#389	C₂³	1	4	yes	complemented
503	#389	C₂³	1	4	yes	complemented
504	#389	C₂³	1	4	yes	complemented
505	#388	C₂³	1	4	yes	—
506	#388	C₂³	1	4	yes	—
507	#388	C₂³	1	4	yes	—
508	#388	C₂³	1	4	yes	—
509	#388	C₂³	1	4	yes	—
510	#388	C₂³	1	4	yes	—
511	#388	C₂³	1	4	yes	—
512	#388	C₂³	1	4	yes	—
513	#388	C₂³	1	4	yes	—
514	#388	C₂³	1	4	yes	—
515	#388	C₂³	1	4	yes	—
516	#388	C₂³	1	4	yes	—
517	#388	C₂³	1	4	yes	—
518	#388	C₂³	1	4	yes	—
519	#388	C₂³	1	4	yes	—
520	#388	C₂³	1	4	yes	—
521	#388	C₂³	1	4	yes	—
522	#388	C₂³	1	4	yes	—
523	#388	C₂³	1	4	yes	—
524	#388	C₂³	1	4	yes	—
525	#388	C₂³	1	4	yes	—
526	#388	C₂³	1	4	yes	—
527	#388	C₂³	1	4	yes	—
528	#388	C₂³	1	4	yes	—
529	#388	C₂³	1	4	yes	—
530	#388	C₂³	1	4	yes	—
531	#388	C₂³	1	4	yes	—
532	#388	C₂³	1	4	yes	complemented
533	#388	C₂³	1	4	yes	complemented
534	#388	C₂³	1	4	yes	complemented
535	#388	C₂³	1	4	yes	complemented
536	#388	C₂³	1	4	yes	complemented
537	#388	C₂³	1	4	yes	complemented
538	#388	C₂³	1	4	yes	complemented
539	#388	C₂³	1	4	yes	complemented
540	#388	C₂³	1	4	yes	complemented
541	#388	C₂³	1	4	yes	complemented
542	#388	C₂³	1	4	yes	complemented
543	#388	C₂³	1	4	yes	complemented
544	#388	C₂³	1	4	yes	complemented
545	#387	C₂³	1	4	yes	complemented
546	#387	C₂³	1	4	yes	complemented
547	#387	C₂³	1	4	yes	complemented
548	#387	C₂³	1	4	yes	complemented
549	#387	C₂³	1	4	yes	complemented
550	#387	C₂³	1	4	yes	complemented
551	#387	C₂³	1	4	yes	complemented
552	#387	C₂³	1	4	yes	complemented
553	#387	C₂³	1	4	yes	complemented
554	#387	C₂³	1	4	yes	complemented
555	#387	C₂³	1	4	yes	complemented
556	#387	C₂³	1	4	yes	complemented
557	#386	C₂³	1	4	yes	—
558	#386	C₂³	1	2	yes	—
559	#386	C₂³	1	2	yes	—
560	#386	C₂³	1	2	yes	—
561	#386	C₂³	1	2	yes	—
562	#386	C₂³	1	4	yes	—
563	#386	C₂³	1	4	yes	—
564	#386	C₂³	1	4	yes	—
565	#386	C₂³	1	2	yes	—
566	#386	C₂³	1	2	yes	—
567	#386	C₂³	1	4	yes	—
568	#386	C₂³	1	4	yes	—
569	#386	C₂³	1	4	yes	—
570	#386	C₂³	1	4	yes	—
571	#386	C₂³	1	4	yes	—
572	#386	C₂³	1	2	yes	—
573	#386	C₂³	1	2	yes	—
574	#386	C₂³	1	2	yes	—
575	#386	C₂³	1	2	yes	—
576	#386	C₂³	1	2	yes	—
577	#386	C₂³	1	2	yes	—
578	#386	C₂³	1	2	yes	—
579	#386	C₂³	1	2	yes	—
580	#386	C₂³	1	2	yes	—
581	#386	C₂³	1	2	yes	—
582	#386	C₂³	1	2	yes	—
583	#386	C₂³	1	2	yes	—
584	#386	C₂³	1	4	yes	—
585	#386	C₂³	1	4	yes	—
586	#386	C₂³	1	4	yes	—
587	#386	C₂³	1	4	yes	complemented
588	#386	C₂³	1	2	yes	complemented
589	#386	C₂³	1	2	yes	complemented
590	#386	C₂³	1	2	yes	complemented
591	#386	C₂³	1	2	yes	complemented
592	#386	C₂³	1	4	yes	complemented
593	#386	C₂³	1	4	yes	complemented
594	#386	C₂³	1	4	yes	complemented
595	#386	C₂³	1	2	yes	complemented
596	#386	C₂³	1	2	yes	complemented
597	#386	C₂³	1	4	yes	complemented
598	#385	C₂³	1	2	yes	—
599	#385	C₂³	1	2	yes	—
600	#385	C₂³	1	2	yes	—
601	#385	C₂³	1	2	yes	—
602	#385	C₂³	1	2	yes	—
603	#385	C₂³	1	2	yes	—
604	#385	C₂³	1	2	yes	complemented
605	#385	C₂³	1	2	yes	complemented
606	#385	C₂³	1	4	yes	complemented
607	#385	C₂³	1	4	yes	complemented
608	#385	C₂³	1	4	yes	complemented
609	#385	C₂³	1	4	yes	complemented
610	#385	C₂³	1	4	yes	complemented
611	#385	C₂³	1	2	yes	complemented
612	#385	C₂³	1	2	yes	complemented
613	#385	C₂³	1	2	yes	complemented
614	#385	C₂³	1	2	yes	complemented
615	#383	C₂³	1	4	yes	complemented
616	#382	C₂³	1	4	yes	complemented
617	#382	C₂³	1	4	yes	complemented
618	#381	C₂³	1	2	yes	complemented
619	#381	C₂³	1	2	yes	complemented
620	#381	C₂³	1	2	yes	complemented
621	#381	C₂³	1	2	yes	complemented
622	#381	C₂³	1	4	yes	complemented
623	#381	C₂³	1	2	yes	complemented
624	#380	C₂³	1	2	yes	complemented
625	#380	C₂³	1	2	yes	complemented
626	#380	C₂³	1	2	yes	complemented
627	#380	C₂³	1	4	yes	complemented
628	#380	C₂³	1	4	yes	complemented
629	#380	C₂³	1	4	yes	complemented
630	#380	C₂³	1	4	yes	complemented
631	#379	C₂³	1	1	yes	characteristic
632	#379	C₂³	1	1	yes	characteristic
633	#379	C₂³	1	1	yes	characteristic
634	#379	C₂³	1	1	yes	characteristic
635	#379	C₂³	1	1	yes	characteristic
636	#379	C₂³	1	1	yes	characteristic
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	2	yes	—
646	#379	C₂³	1	4	yes	—
647	#379	C₂³	1	4	yes	—
648	#379	C₂³	1	4	yes	—
649	#379	C₂³	1	4	yes	—
650	#379	C₂³	1	4	yes	—
651	#379	C₂³	1	4	yes	—
652	#379	C₂³	1	2	yes	complemented
653	#379	C₂³	1	2	yes	complemented
654	#379	C₂³	1	2	yes	complemented
655	#379	C₂³	1	2	yes	complemented
656	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
657	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
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	4	yes	complemented
662	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
663	#376	C₂³	1	4	yes	complemented
664	C₂⁵	—	4	2	no	—
665	C₂⁵	—	8	2	no	—
666	C₂⁵	—	8	2	no	—
667	C₂⁵	—	8	2	no	—
668	C₂⁵	C₂⁴	1	1	yes	characteristic
669	C₂⁵	C₂⁴	1	1	yes	characteristic
670	C₂⁵	C₂⁴	1	1	yes	characteristic
671	C₂⁵	C₂⁴	1	1	yes	characteristic
672	C₂⁵	C₂⁴	1	1	yes	characteristic
673	C₂⁵	C₂⁴	1	1	yes	characteristic
674	C₂⁵	C₂⁴	1	4	yes	—
675	C₂⁵	C₂⁴	1	1	yes	characteristic
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	—	2	4	no	—
682	C₂²×D₄	—	2	4	no	—
683	C₂²×D₄	—	4	2	no	—
684	C₂²×D₄	—	8	2	no	—
685	C₂²×D₄	—	8	2	no	—
686	C₂²×D₄	—	8	2	no	—
687	C₂²×D₄	—	8	2	no	—
688	C₂²×D₄	—	8	2	no	—
689	C₂²×D₄	—	8	2	no	—
690	C₂²×D₄	—	8	2	no	—
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	C₂²×D₄	C₂⁴	1	2	yes	—
698	C₂²×D₄	C₂⁴	1	2	yes	—
699	C₂²×D₄	C₂⁴	1	2	yes	—
700	C₂²×D₄	C₂⁴	1	2	yes	—
701	C₂²×D₄	C₂⁴	1	2	yes	—
702	C₂²×D₄	C₂⁴	1	2	yes	—
703	C₂²×D₄	C₂⁴	1	2	yes	—
704	C₂²×D₄	C₂⁴	1	2	yes	—
705	C₂²×D₄	C₂⁴	1	2	yes	—
706	C₂²×D₄	C₂⁴	1	2	yes	—
707	C₂²×D₄	C₂⁴	1	4	yes	—
708	C₂²×D₄	C₂⁴	1	2	yes	—
709	C₂²×D₄	C₂⁴	1	4	yes	—
710	C₂²×D₄	C₂⁴	1	4	yes	—
711	C₂²×D₄	C₂⁴	1	4	yes	—
712	C₂²×D₄	C₂⁴	1	2	yes	—
713	C₂²×D₄	C₂⁴	1	4	yes	—
714	C₂²×D₄	C₂⁴	1	4	yes	—
715	C₂²×D₄	C₂⁴	1	4	yes	—
716	C₂²×D₄	C₂⁴	1	4	yes	—
717	C₂²×D₄	C₂⁴	1	4	yes	—
718	C₂³×C₄	—	4	2	no	—
719	C₂³×C₄	—	4	2	no	—
720	C₂³×C₄	—	8	2	no	—
721	C₂³×C₄	—	8	2	no	—
722	C₂³×C₄	C₂⁴	1	1	yes	characteristic
723	C₂³×C₄	C₂⁴	1	1	yes	characteristic
724	C₂³×C₄	C₂⁴	1	1	yes	characteristic
725	C₂³×C₄	C₂⁴	1	1	yes	characteristic
726	C₂³×C₄	C₂⁴	1	1	yes	characteristic
727	C₂³×C₄	C₂⁴	1	1	yes	characteristic
728	C₂³×C₄	C₂⁴	1	1	yes	characteristic
729	C₂³×C₄	C₂⁴	1	1	yes	characteristic
730	C₂³×C₄	C₂⁴	1	1	yes	characteristic
731	C₂³×C₄	C₂⁴	1	1	yes	characteristic
732	C₂³×C₄	C₂⁴	1	1	yes	characteristic
733	C₂³×C₄	C₂⁴	1	1	yes	characteristic
734	C₂³×C₄	C₂⁴	1	4	yes	—
735	C₂³×C₄	C₂⁴	1	4	yes	—
736	C₂³×C₄	C₂⁴	1	4	yes	—
737	#127	—	8	4	no	—
738	#126	—	8	4	no	—
739	#126	—	8	4	no	—
740	#125	—	8	4	no	—
741	#124	—	8	4	no	—
742	#124	—	8	4	no	—
743	#124	—	8	4	no	—
744	#124	—	8	4	no	—
745	#123	—	4	8	no	—
746	#123	—	4	8	no	—
747	#123	—	4	4	no	—
748	#123	—	4	4	no	—
749	#123	—	4	4	no	—
750	#123	—	4	4	no	—
751	#123	—	4	4	no	—
752	#123	—	4	4	no	—
753	#123	—	8	2	no	—
754	#123	—	8	2	no	—
755	#123	—	8	2	no	—
756	#123	—	8	2	no	—
757	#123	—	8	4	no	—
758	#123	—	8	2	no	—
759	#123	—	8	2	no	—
760	#123	—	8	4	no	—
761	#123	—	8	4	no	—
762	#123	—	8	2	no	—
763	#123	—	8	2	no	—
764	C₂²⋊Q₈	—	8	4	no	—
765	#121	—	4	8	no	—
766	#121	—	4	8	no	—
767	#121	—	4	4	no	—
768	#121	—	4	4	no	—
769	#121	—	4	4	no	—
770	#121	—	4	4	no	—
771	#121	—	4	4	no	—
772	#121	—	4	4	no	—
773	#121	—	8	4	no	—
774	#121	—	8	4	no	—
775	#121	—	8	4	no	—
776	#121	—	8	4	no	—
777	#121	—	8	4	no	—
778	#120	—	4	4	no	—
779	#120	—	4	4	no	—
780	#120	—	4	4	no	—
781	#120	—	4	4	no	—
782	#120	—	4	4	no	—
783	#120	—	4	4	no	—
784	#120	—	4	8	no	—
785	#120	—	4	8	no	—
786	#120	—	8	2	no	—
787	#120	—	8	2	no	—
788	#120	—	8	2	no	—
789	#120	—	8	2	no	—
790	#120	—	8	2	no	—
791	#120	—	8	2	no	—
792	#120	—	8	2	no	—
793	#120	—	8	2	no	—
794	#120	—	8	2	no	—
795	#120	—	8	2	no	—
796	#120	—	8	4	no	—
797	#120	—	8	4	no	—
798	#120	—	8	4	no	—
799	#120	—	8	4	no	—
800	#120	—	8	2	no	—
801	#120	—	8	4	no	—
802	#120	—	8	2	no	—
803	#120	—	8	4	no	—
804	#120	—	8	2	no	—
805	#120	—	8	2	no	—
806	#120	—	8	2	no	—
807	#120	—	8	2	no	—
808	C₄×Q₈	—	8	4	no	—
809	#117	—	8	2	no	—
810	#117	—	8	2	no	—
811	#117	—	8	2	no	—
812	#117	—	8	2	no	—
813	#117	—	8	2	no	—
814	C₂×C₄⋊C₄	—	4	2	no	—
815	C₂×C₄⋊C₄	—	4	2	no	—
816	C₂×C₄⋊C₄	—	4	2	no	—
817	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
830	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
831	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
832	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
833	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
834	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
835	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
844	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
847	C₂×C₂²⋊C₄	—	2	4	no	—
848	C₂×C₂²⋊C₄	—	2	4	no	—
849	C₂×C₂²⋊C₄	—	2	4	no	—
850	C₂×C₂²⋊C₄	—	4	2	no	—
851	C₂×C₂²⋊C₄	—	4	2	no	—
852	C₂×C₂²⋊C₄	—	4	2	no	—
853	C₂×C₂²⋊C₄	—	4	2	no	—
854	C₂×C₂²⋊C₄	—	4	2	no	—
855	C₂×C₂²⋊C₄	—	8	2	no	—
856	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
913	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
914	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
915	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
916	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
917	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
918	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
920	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
921	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
922	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
923	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
924	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
925	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
926	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
927	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
928	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
929	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
930	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
931	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
932	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
933	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
934	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
935	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
936	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
937	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
938	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
939	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
940	C₂×C₄²	C₂⁴	1	4	yes	—
941	C₂×C₄²	C₂⁴	1	4	yes	—
942	C₂×C₄²	C₂⁴	1	4	yes	—
943	C₂×C₄²	C₂⁴	1	4	yes	—
944	C₂×C₄²	C₂⁴	1	4	yes	—
945	C₂×C₄²	C₂⁴	1	4	yes	—
946	C₂×C₄²	C₂⁴	1	4	yes	—
947	C₂×C₄²	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	#95	C₂⁴	1	4	yes	—
961	#95	C₂⁴	1	4	yes	—
962	#95	C₂⁴	1	4	yes	—
963	#95	C₂⁴	1	4	yes	—
964	#95	C₂⁴	1	4	yes	—
965	#95	C₂⁴	1	4	yes	—
966	#95	C₂⁴	1	4	yes	—
967	#95	C₂⁴	1	4	yes	—
968	#95	C₂⁴	1	4	yes	—
969	#95	C₂⁴	1	4	yes	—
970	#95	C₂⁴	1	4	yes	—
971	#95	C₂⁴	1	4	yes	—
972	#95	C₂⁴	1	4	yes	—
973	#95	C₂⁴	1	4	yes	—
974	#95	C₂⁴	1	4	yes	—
975	#95	C₂⁴	1	4	yes	—
976	#95	C₂⁴	1	4	yes	—
977	#95	C₂⁴	1	4	yes	—
978	#95	C₂⁴	1	4	yes	—
979	#95	C₂⁴	1	4	yes	—
980	#95	C₂⁴	1	4	yes	—
981	#95	C₂⁴	1	4	yes	—
982	C₂⁴	—	2	2	no	—
983	C₂⁴	—	2	2	no	—
984	C₂⁴	—	2	2	no	—
985	C₂⁴	—	2	2	no	—
986	C₂⁴	—	2	2	no	—
987	C₂⁴	—	2	2	no	—
988	C₂⁴	—	4	2	no	—
989	C₂⁴	—	4	2	no	—
990	C₂⁴	—	4	2	no	—
991	C₂⁴	—	4	2	no	—
992	C₂⁴	—	4	2	no	—
993	C₂⁴	—	4	2	no	—
994	C₂⁴	—	4	2	no	—
995	C₂⁴	—	4	2	no	—
996	C₂⁴	—	4	2	no	—
997	C₂⁴	—	4	4	no	—
998	C₂⁴	—	4	2	no	—
999	C₂⁴	—	4	2	no	—
1000	C₂⁴	—	4	2	no	—
1001	C₂⁴	—	4	2	no	—
1002	C₂⁴	—	4	2	no	—
1003	C₂⁴	—	4	2	no	—
1004	C₂⁴	—	4	2	no	—
1005	C₂⁴	—	4	2	no	—
1006	C₂⁴	—	4	2	no	—
1007	C₂⁴	—	4	2	no	—
1008	C₂⁴	—	4	4	no	—
1009	C₂⁴	—	4	4	no	—
1010	C₂⁴	—	4	4	no	—
1011	C₂⁴	—	4	4	no	—
1012	C₂⁴	—	4	4	no	—
1013	C₂⁴	—	4	4	no	—
1014	C₂⁴	—	4	2	no	—
1015	C₂⁴	—	4	2	no	—
1016	C₂⁴	—	8	8	no	—
1017	C₂⁴	—	8	8	no	—
1018	C₂⁴	—	8	8	no	—
1019	C₂⁴	—	8	32	no	—
1020	C₂⁴	H(5,𝔽₂)	1	4	yes	—
1021	C₂⁴	C₂⁵	1	2	yes	—
1022	C₂⁴	C₂⁵	1	2	yes	—
1023	C₂⁴	C₂⁵	1	2	yes	—
1024	C₂⁴	C₂⁵	1	2	yes	—
1025	C₂⁴	C₂⁵	1	2	yes	—
1026	C₂⁴	C₂⁵	1	2	yes	—
1027	C₂⁴	C₂⁵	1	1	yes	characteristic
1028	C₂⁴	C₂⁵	1	1	yes	characteristic
1029	C₂⁴	C₂⁵	1	1	yes	characteristic
1030	C₂×Q₈	—	4	4	no	—
1031	C₂×Q₈	—	4	4	no	—
1032	C₂×Q₈	—	4	4	no	—
1033	C₂×D₄	—	2	4	no	—
1034	C₂×D₄	—	2	4	no	—
1035	C₂×D₄	—	2	4	no	—
1036	C₂×D₄	—	2	4	no	—
1037	C₂×D₄	—	2	4	no	—
1038	C₂×D₄	—	2	4	no	—
1039	C₂×D₄	—	2	4	no	—
1040	C₂×D₄	—	2	4	no	—
1041	C₂×D₄	—	2	4	no	—
1042	C₂×D₄	—	2	4	no	—
1043	C₂×D₄	—	2	4	no	—
1044	C₂×D₄	—	2	4	no	—
1045	C₂×D₄	—	4	2	no	—
1046	C₂×D₄	—	4	2	no	—
1047	C₂×D₄	—	4	2	no	—
1048	C₂×D₄	—	4	2	no	—
1049	C₂×D₄	—	4	2	no	—
1050	C₂×D₄	—	4	2	no	—
1051	C₂×D₄	—	4	2	no	—
1052	C₂×D₄	—	4	2	no	—
1053	C₂×D₄	—	4	2	no	—
1054	C₂×D₄	—	4	2	no	—
1055	C₂×D₄	—	4	2	no	—
1056	C₂×D₄	—	4	2	no	—
1057	C₂×D₄	—	4	2	no	—
1058	C₂×D₄	—	4	2	no	—
1059	C₂×D₄	—	4	2	no	—
1060	C₂×D₄	—	4	2	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	2	no	—
1064	C₂×D₄	—	4	2	no	—
1065	C₂×D₄	—	4	2	no	—
1066	C₂×D₄	—	4	2	no	—
1067	C₂×D₄	—	4	2	no	—
1068	C₂×D₄	—	4	2	no	—
1069	C₂×D₄	—	4	2	no	—
1070	C₂×D₄	—	4	2	no	—
1071	C₂×D₄	—	4	4	no	—
1072	C₂×D₄	—	4	2	no	—
1073	C₂×D₄	—	4	2	no	—
1074	C₂×D₄	—	4	2	no	—
1075	C₂×D₄	—	4	2	no	—
1076	C₂×D₄	—	4	2	no	—
1077	C₂×D₄	—	4	2	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	4	no	—
1080	C₂×D₄	—	4	4	no	—
1081	C₂×D₄	—	4	4	no	—
1082	C₂×D₄	—	4	4	no	—
1083	C₂×D₄	—	4	4	no	—
1084	C₂×D₄	—	4	4	no	—
1085	C₂×D₄	—	4	4	no	—
1086	C₂×D₄	—	4	4	no	—
1087	C₂×D₄	—	4	4	no	—
1088	C₂×D₄	—	4	4	no	—
1089	C₂×D₄	—	4	4	no	—
1090	C₂×D₄	—	4	4	no	—
1091	C₂×D₄	—	4	4	no	—
1092	C₂×D₄	—	4	4	no	—
1093	C₂×D₄	—	4	4	no	—
1094	C₂×D₄	—	4	4	no	—
1095	C₂×D₄	—	4	4	no	—
1096	C₂×D₄	—	4	4	no	—
1097	C₂×D₄	—	4	4	no	—
1098	C₂×D₄	—	4	4	no	—
1099	C₂×D₄	—	4	4	no	—
1100	C₂×D₄	—	4	4	no	—
1101	C₂×D₄	—	4	4	no	—
1102	C₂×D₄	—	4	4	no	—
1103	C₂×D₄	—	4	4	no	—
1104	C₂×D₄	—	4	4	no	—
1105	C₂×D₄	—	4	4	no	—
1106	C₂×D₄	—	4	4	no	—
1107	C₂×D₄	—	4	4	no	—
1108	C₂×D₄	—	8	8	no	—
1109	C₂×D₄	—	8	8	no	—
1110	C₂×D₄	—	8	8	no	—
1111	C₂×D₄	—	8	8	no	—
1112	C₂×D₄	—	8	8	no	—
1113	C₂×D₄	—	8	8	no	—
1114	C₂×D₄	—	8	8	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	2	2	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	2	2	no	—
1119	C₂²×C₄	—	2	2	no	—
1120	C₂²×C₄	—	2	2	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	2	no	—
1125	C₂²×C₄	—	2	2	no	—
1126	C₂²×C₄	—	2	2	no	—
1127	C₂²×C₄	—	4	2	no	—
1128	C₂²×C₄	—	4	2	no	—
1129	C₂²×C₄	—	4	2	no	—
1130	C₂²×C₄	—	4	2	no	—
1131	C₂²×C₄	—	4	2	no	—
1132	C₂²×C₄	—	4	2	no	—
1133	C₂²×C₄	—	4	4	no	—
1134	C₂²×C₄	—	4	4	no	—
1135	C₂²×C₄	—	4	4	no	—
1136	C₂²×C₄	—	4	4	no	—
1137	C₂²×C₄	—	4	4	no	—
1138	C₂²×C₄	—	4	2	no	—
1139	C₂²×C₄	—	4	2	no	—
1140	C₂²×C₄	—	4	2	no	—
1141	C₂²×C₄	—	4	2	no	—
1142	C₂²×C₄	—	4	2	no	—
1143	C₂²×C₄	—	4	4	no	—
1144	C₂²×C₄	—	4	2	no	—
1145	C₂²×C₄	—	4	4	no	—
1146	C₂²×C₄	—	4	4	no	—
1147	C₂²×C₄	—	4	4	no	—
1148	C₂²×C₄	—	8	8	no	—
1149	C₂²×C₄	—	8	8	no	—
1150	C₂²×C₄	C₂⁵	1	2	yes	—
1151	C₂²×C₄	C₂⁵	1	4	yes	—
1152	C₂²×C₄	C₂⁵	1	4	yes	—
1153	C₂²×C₄	C₂⁵	1	2	yes	—
1154	C₂²×C₄	C₂⁵	1	2	yes	—
1155	C₂²×C₄	C₂⁵	1	2	yes	—
1156	C₂²×C₄	C₂⁵	1	2	yes	—
1157	C₂²×C₄	C₂⁵	1	4	yes	—
1158	C₂²×C₄	C₂⁵	1	4	yes	—
1159	C₂²×C₄	C₂⁵	1	4	yes	—
1160	C₂²×C₄	C₂⁵	1	2	yes	—
1161	C₂²×C₄	C₂⁵	1	2	yes	—
1162	C₂²×C₄	C₂⁵	1	2	yes	—
1163	C₂²×C₄	C₂⁵	1	2	yes	—
1164	C₂²×C₄	C₂⁵	1	2	yes	—
1165	C₂²×C₄	C₂⁵	1	4	yes	—
1166	C₂²×C₄	C₂⁵	1	2	yes	—
1167	C₂²×C₄	C₂⁵	1	2	yes	—
1168	C₄⋊C₄	—	4	4	no	—
1169	C₄⋊C₄	—	4	4	no	—
1170	C₄⋊C₄	—	4	4	no	—
1171	C₄⋊C₄	—	4	4	no	—
1172	C₄⋊C₄	—	4	4	no	—
1173	C₄⋊C₄	—	4	4	no	—
1174	C₄⋊C₄	—	4	4	no	—
1175	C₄⋊C₄	—	4	4	no	—
1176	C₄⋊C₄	—	4	4	no	—
1177	C₄⋊C₄	—	4	4	no	—
1178	C₄⋊C₄	—	4	4	no	—
1179	C₄⋊C₄	—	4	2	no	—
1180	C₄⋊C₄	—	4	2	no	—
1181	C₄⋊C₄	—	4	2	no	—
1182	C₄⋊C₄	—	4	2	no	—
1183	C₄⋊C₄	—	4	2	no	—
1184	C₄⋊C₄	—	4	2	no	—
1185	C₄⋊C₄	—	4	4	no	—
1186	C₄⋊C₄	—	4	4	no	—
1187	C₄⋊C₄	—	4	4	no	—
1188	C₄⋊C₄	—	4	4	no	—
1189	C₄⋊C₄	—	4	4	no	—
1190	C₄⋊C₄	—	4	4	no	—
1191	C₄⋊C₄	—	4	4	no	—
1192	C₄⋊C₄	—	4	4	no	—
1193	C₄⋊C₄	—	4	4	no	—
1194	C₄⋊C₄	—	4	4	no	—
1195	C₄⋊C₄	—	4	4	no	—
1196	C₄⋊C₄	—	4	4	no	—
1197	C₄⋊C₄	—	4	4	no	—
1198	C₂²⋊C₄	—	2	4	no	—
1199	C₂²⋊C₄	—	2	4	no	—
1200	C₂²⋊C₄	—	2	4	no	—
1201	C₂²⋊C₄	—	2	4	no	—
1202	C₂²⋊C₄	—	2	4	no	—
1203	C₂²⋊C₄	—	2	4	no	—
1204	C₂²⋊C₄	—	4	4	no	—
1205	C₂²⋊C₄	—	4	4	no	—
1206	C₂²⋊C₄	—	4	4	no	—
1207	C₂²⋊C₄	—	4	4	no	—
1208	C₂²⋊C₄	—	4	4	no	—
1209	C₂²⋊C₄	—	4	2	no	—
1210	C₂²⋊C₄	—	4	2	no	—
1211	C₂²⋊C₄	—	4	4	no	—
1212	C₂²⋊C₄	—	4	2	no	—
1213	C₂²⋊C₄	—	4	2	no	—
1214	C₂²⋊C₄	—	4	2	no	—
1215	C₂²⋊C₄	—	4	2	no	—
1216	C₂²⋊C₄	—	4	2	no	—
1217	C₂²⋊C₄	—	4	2	no	—
1218	C₂²⋊C₄	—	4	2	no	—
1219	C₂²⋊C₄	—	4	2	no	—
1220	C₂²⋊C₄	—	4	2	no	—
1221	C₂²⋊C₄	—	4	2	no	—
1222	C₂²⋊C₄	—	4	2	no	—
1223	C₂²⋊C₄	—	4	2	no	—
1224	C₂²⋊C₄	—	4	2	no	—
1225	C₂²⋊C₄	—	4	2	no	—
1226	C₂²⋊C₄	—	4	2	no	—
1227	C₂²⋊C₄	—	4	2	no	—
1228	C₂²⋊C₄	—	4	2	no	—
1229	C₂²⋊C₄	—	4	2	no	—
1230	C₂²⋊C₄	—	4	2	no	—
1231	C₂²⋊C₄	—	4	2	no	—
1232	C₂²⋊C₄	—	4	2	no	—
1233	C₂²⋊C₄	—	4	2	no	—
1234	C₂²⋊C₄	—	4	2	no	—
1235	C₂²⋊C₄	—	4	2	no	—
1236	C₂²⋊C₄	—	4	4	no	—
1237	C₂²⋊C₄	—	4	4	no	—
1238	C₂²⋊C₄	—	4	4	no	—
1239	C₂²⋊C₄	—	4	4	no	—
1240	C₂²⋊C₄	—	4	4	no	—
1241	C₂²⋊C₄	—	4	4	no	—
1242	C₂²⋊C₄	—	4	4	no	—
1243	C₂²⋊C₄	—	4	4	no	—
1244	C₂²⋊C₄	—	4	4	no	—
1245	C₂²⋊C₄	—	4	4	no	—
1246	C₂²⋊C₄	—	4	4	no	—
1247	C₂²⋊C₄	—	4	4	no	—
1248	C₂²⋊C₄	—	4	2	no	—
1249	C₂²⋊C₄	—	4	4	no	—
1250	C₂²⋊C₄	—	4	4	no	—
1251	C₂²⋊C₄	—	4	4	no	—
1252	C₂²⋊C₄	—	4	4	no	—
1253	C₂²⋊C₄	—	4	4	no	—
1254	C₂²⋊C₄	—	4	2	no	—
1255	C₂²⋊C₄	—	4	4	no	—
1256	C₂²⋊C₄	—	4	2	no	—
1257	C₂²⋊C₄	—	4	4	no	—
1258	C₂²⋊C₄	—	4	4	no	—
1259	C₂²⋊C₄	—	4	2	no	—
1260	C₂²⋊C₄	—	4	4	no	—
1261	C₂²⋊C₄	—	4	4	no	—
1262	C₂²⋊C₄	—	4	4	no	—
1263	C₂²⋊C₄	—	4	4	no	—
1264	C₂²⋊C₄	—	4	4	no	—
1265	C₂²⋊C₄	—	4	4	no	—
1266	C₂²⋊C₄	—	4	4	no	—
1267	C₂²⋊C₄	—	4	4	no	—
1268	C₂²⋊C₄	—	4	4	no	—
1269	C₂²⋊C₄	—	4	4	no	—
1270	C₂²⋊C₄	—	4	4	no	—
1271	C₂²⋊C₄	—	4	4	no	—
1272	C₂²⋊C₄	—	4	4	no	—
1273	C₂²⋊C₄	—	4	4	no	—
1274	C₂²⋊C₄	—	4	4	no	—
1275	C₂²⋊C₄	—	4	4	no	—
1276	C₂²⋊C₄	—	4	4	no	—
1277	C₂²⋊C₄	—	4	4	no	—
1278	C₂²⋊C₄	—	4	4	no	—
1279	C₂²⋊C₄	—	4	4	no	—
1280	C₂²⋊C₄	—	4	4	no	—
1281	C₂²⋊C₄	—	4	4	no	—
1282	C₄²	—	4	4	no	—
1283	C₄²	—	4	4	no	—
1284	C₄²	—	4	4	no	—
1285	C₄²	—	4	4	no	—
1286	C₄²	—	4	4	no	—
1287	C₄²	—	4	4	no	—
1288	C₄²	—	4	4	no	—
1289	C₄²	—	4	4	no	—
1290	C₂³	—	2	2	no	—
1291	C₂³	—	2	2	no	—
1292	C₂³	—	2	2	no	—
1293	C₂³	—	2	2	no	—
1294	C₂³	—	2	2	no	—
1295	C₂³	—	2	2	no	—
1296	C₂³	—	2	2	no	—
1297	C₂³	—	2	2	no	—
1298	C₂³	—	2	2	no	—
1299	C₂³	—	2	2	no	—
1300	C₂³	—	2	2	no	—
1301	C₂³	—	2	2	no	—
1302	C₂³	—	2	2	no	—
1303	C₂³	—	2	2	no	—
1304	C₂³	—	2	2	no	—
1305	C₂³	—	2	2	no	—
1306	C₂³	—	2	4	no	—
1307	C₂³	—	2	4	no	—
1308	C₂³	—	2	4	no	—
1309	C₂³	—	2	4	no	—
1310	C₂³	—	2	4	no	—
1311	C₂³	—	2	4	no	—
1312	C₂³	—	2	4	no	—
1313	C₂³	—	2	4	no	—
1314	C₂³	—	2	4	no	—
1315	C₂³	—	2	4	no	—
1316	C₂³	—	2	4	no	—
1317	C₂³	—	2	2	no	—
1318	C₂³	—	2	2	no	—
1319	C₂³	—	2	2	no	—
1320	C₂³	—	2	2	no	—
1321	C₂³	—	2	2	no	—
1322	C₂³	—	2	2	no	—
1323	C₂³	—	2	2	no	—
1324	C₂³	—	2	4	no	—
1325	C₂³	—	2	2	no	—
1326	C₂³	—	2	2	no	—
1327	C₂³	—	2	2	no	—
1328	C₂³	—	2	2	no	—
1329	C₂³	—	4	4	no	—
1330	C₂³	—	4	4	no	—
1331	C₂³	—	4	4	no	—
1332	C₂³	—	4	4	no	—
1333	C₂³	—	4	4	no	—
1334	C₂³	—	4	4	no	—
1335	C₂³	—	4	4	no	—
1336	C₂³	—	4	4	no	—
1337	C₂³	—	4	4	no	—
1338	C₂³	—	8	2	no	—
1339	C₂³	—	8	2	no	—
1340	C₂³	—	8	2	no	—
1341	C₂³	—	8	2	no	—
1342	C₂³	—	8	2	no	—
1343	C₂³	—	8	2	no	—
1344	C₂³	—	8	2	no	—
1345	C₂³	—	8	2	no	—
1346	C₂³	—	8	2	no	—
1347	C₂³	—	8	2	no	—
1348	C₂³	—	8	2	no	—
1349	C₂³	—	8	2	no	—
1350	C₂³	—	8	8	no	—
1351	C₂³	—	8	8	no	—
1352	C₂³	—	8	8	no	—
1353	C₂³	—	8	8	no	—
1354	C₂³	—	8	8	no	—
1355	C₂³	—	8	8	no	—
1356	C₂³	—	8	8	no	—
1357	C₂³	—	8	8	no	—
1358	C₂³	—	8	8	no	—
1359	C₂³	—	8	8	no	—
1360	C₂³	—	8	8	no	—
1361	C₂³	—	8	8	no	—
1362	C₂³	—	8	64	no	—
1363	C₂³	—	16	4	no	—
1364	C₂³	—	16	4	no	—
1365	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1366	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1367	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1368	C₂³	C₂⁶	1	1	yes	characteristic
1369	Q₈	—	8	8	no	—
1370	D₄	—	8	4	no	—
1371	D₄	—	8	4	no	—
1372	D₄	—	8	4	no	—
1373	D₄	—	8	4	no	—
1374	D₄	—	8	4	no	—
1375	D₄	—	8	4	no	—
1376	D₄	—	8	4	no	—
1377	D₄	—	8	4	no	—
1378	D₄	—	8	4	no	—
1379	D₄	—	8	4	no	—
1380	D₄	—	8	4	no	—
1381	D₄	—	8	4	no	—
1382	D₄	—	8	8	no	—
1383	D₄	—	16	2	no	—
1384	D₄	—	16	2	no	—
1385	D₄	—	16	2	no	—
1386	D₄	—	16	2	no	—
1387	D₄	—	16	2	no	—
1388	D₄	—	16	2	no	—
1389	D₄	—	16	4	no	—
1390	D₄	—	16	4	no	—
1391	D₄	—	16	4	no	—
1392	D₄	—	16	4	no	—
1393	D₄	—	16	4	no	—
1394	D₄	—	16	4	no	—
1395	D₄	—	16	4	no	—
1396	D₄	—	16	4	no	—
1397	C₂×C₄	—	2	2	no	—
1398	C₂×C₄	—	2	2	no	—
1399	C₂×C₄	—	2	2	no	—
1400	C₂×C₄	—	2	2	no	—
1401	C₂×C₄	—	2	2	no	—
1402	C₂×C₄	—	2	2	no	—
1403	C₂×C₄	—	2	2	no	—
1404	C₂×C₄	—	2	2	no	—
1405	C₂×C₄	—	2	2	no	—
1406	C₂×C₄	—	2	2	no	—
1407	C₂×C₄	—	2	2	no	—
1408	C₂×C₄	—	2	2	no	—
1409	C₂×C₄	—	2	4	no	—
1410	C₂×C₄	—	2	2	no	—
1411	C₂×C₄	—	2	2	no	—
1412	C₂×C₄	—	2	2	no	—
1413	C₂×C₄	—	2	4	no	—
1414	C₂×C₄	—	2	2	no	—
1415	C₂×C₄	—	2	4	no	—
1416	C₂×C₄	—	2	2	no	—
1417	C₂×C₄	—	2	4	no	—
1418	C₂×C₄	—	2	4	no	—
1419	C₂×C₄	—	2	4	no	—
1420	C₂×C₄	—	2	4	no	—
1421	C₂×C₄	—	2	4	no	—
1422	C₂×C₄	—	2	4	no	—
1423	C₂×C₄	—	2	4	no	—
1424	C₂×C₄	—	2	4	no	—
1425	C₂×C₄	—	2	4	no	—
1426	C₂×C₄	—	2	4	no	—
1427	C₂×C₄	—	2	4	no	—
1428	C₂×C₄	—	2	4	no	—
1429	C₂×C₄	—	2	4	no	—
1430	C₂×C₄	—	2	4	no	—
1431	C₂×C₄	—	2	4	no	—
1432	C₂×C₄	—	2	4	no	—
1433	C₂×C₄	—	2	4	no	—
1434	C₂×C₄	—	2	4	no	—
1435	C₂×C₄	—	2	2	no	—
1436	C₂×C₄	—	2	2	no	—
1437	C₂×C₄	—	2	2	no	—
1438	C₂×C₄	—	2	4	no	—
1439	C₂×C₄	—	2	4	no	—
1440	C₂×C₄	—	2	2	no	—
1441	C₂×C₄	—	2	2	no	—
1442	C₂×C₄	—	2	4	no	—
1443	C₂×C₄	—	2	2	no	—
1444	C₂×C₄	—	2	2	no	—
1445	C₂×C₄	—	4	4	no	—
1446	C₂×C₄	—	4	4	no	—
1447	C₂×C₄	—	4	4	no	—
1448	C₂×C₄	—	4	4	no	—
1449	C₂×C₄	—	4	4	no	—
1450	C₂×C₄	—	4	4	no	—
1451	C₂×C₄	—	8	2	no	—
1452	C₂×C₄	—	8	2	no	—
1453	C₂×C₄	—	8	2	no	—
1454	C₂×C₄	—	8	2	no	—
1455	C₂×C₄	—	8	2	no	—
1456	C₂×C₄	—	8	2	no	—
1457	C₂×C₄	—	8	8	no	—
1458	C₂×C₄	—	8	8	no	—
1459	C₂×C₄	—	16	4	no	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	4	4	no	—
1470	C₂²	—	4	4	no	—
1471	C₂²	—	4	4	no	—
1472	C₂²	—	4	2	no	—
1473	C₂²	—	4	2	no	—
1474	C₂²	—	4	2	no	—
1475	C₂²	—	4	2	no	—
1476	C₂²	—	4	2	no	—
1477	C₂²	—	4	2	no	—
1478	C₂²	—	4	2	no	—
1479	C₂²	—	4	2	no	—
1480	C₂²	—	4	2	no	—
1481	C₂²	—	4	2	no	—
1482	C₂²	—	4	2	no	—
1483	C₂²	—	4	2	no	—
1484	C₂²	—	4	2	no	—
1485	C₂²	—	4	2	no	—
1486	C₂²	—	4	2	no	—
1487	C₂²	—	4	2	no	—
1488	C₂²	—	4	2	no	—
1489	C₂²	—	4	2	no	—
1490	C₂²	—	4	4	no	—
1491	C₂²	—	4	4	no	—
1492	C₂²	—	4	4	no	—
1493	C₂²	—	4	4	no	—
1494	C₂²	—	4	4	no	—
1495	C₂²	—	4	4	no	—
1496	C₂²	—	4	4	no	—
1497	C₂²	—	4	4	no	—
1498	C₂²	—	4	4	no	—
1499	C₂²	—	4	4	no	—
1500	C₂²	—	4	4	no	—
1501	C₂²	—	4	4	no	—
1502	C₂²	—	8	8	no	—
1503	C₂²	—	8	8	no	—
1504	C₂²	—	8	8	no	—
1505	C₂²	—	8	8	no	—
1506	C₂²	—	8	8	no	—
1507	C₂²	—	8	32	no	—
1508	C₂²	—	16	4	no	—
1509	C₂²	—	16	4	no	—
1510	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1511	C₂²	H(7,𝔽₂)	1	2	yes	—
1512	C₂²	H(7,𝔽₂)	1	2	yes	—
1513	C₂²	H(7,𝔽₂)	1	2	yes	—
1514	C₄	—	4	2	no	—
1515	C₄	—	4	2	no	—
1516	C₄	—	4	2	no	—
1517	C₄	—	4	2	no	—
1518	C₄	—	4	2	no	—
1519	C₄	—	4	2	no	—
1520	C₄	—	4	2	no	—
1521	C₄	—	4	2	no	—
1522	C₄	—	4	2	no	—
1523	C₄	—	4	2	no	—
1524	C₄	—	4	2	no	—
1525	C₄	—	4	2	no	—
1526	C₄	—	4	4	no	—
1527	C₄	—	4	4	no	—
1528	C₄	—	4	4	no	—
1529	C₄	—	4	4	no	—
1530	C₄	—	4	4	no	—
1531	C₄	—	4	4	no	—
1532	C₂	—	4	2	no	—
1533	C₂	—	4	2	no	—
1534	C₂	—	4	2	no	—
1535	C₂	—	8	2	no	—
1536	C₂	—	8	2	no	—
1537	C₂	—	8	2	no	—
1538	C₂	—	8	2	no	—
1539	C₂	—	8	2	no	—
1540	C₂	—	8	2	no	—
1541	C₂	#62862	1	1	yes	characteristic
1542	C₂	#62862	1	1	yes	characteristic
1543	C₂	#62862	1	1	yes	characteristic
1544	C₂	#62973	1	4	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
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. #57946	C₂	semidirect
2. #57861	C₂	semidirect
3. #57166	C₂	semidirect
4. #57162	C₂	semidirect
5. #57161	C₂	semidirect
6. #57160	C₂	semidirect
7. #56356	C₂	semidirect
8. #53485	C₂	semidirect
9. #53483	C₂	semidirect
10. #53177	C₂	semidirect
11. #53171	C₂	semidirect
12. #53158	C₂	semidirect
13. #47563	C₂	semidirect
14. #46998	C₂	semidirect
15. #46390	C₂	semidirect
16. #46389	C₂	semidirect
17. #46387	C₂	semidirect
18. #46385	C₂	semidirect
19. #37117	C₂	semidirect
20. #36965	C₂	semidirect
21. #36721	C₂	semidirect
22. #36721	C₂	semidirect
23. #36717	C₂	semidirect
24. #36715	C₂	semidirect
25. #36714	C₂	semidirect
26. #36714	C₂	semidirect
27. #36714	C₂	semidirect
31. C₂²×#123	C₂²	semidirect
32. C₂²×#121	C₂²	semidirect
34. #2849	C₂²	semidirect
35. #2849	C₂²	semidirect
36. #2849	C₂²	semidirect
37. #2847	C₂²	semidirect
38. #2847	C₂²	semidirect
39. #2847	C₂²	semidirect
40. #2846	C₂²	semidirect
41. #2846	C₂²	semidirect
42. #2846	C₂²	semidirect
43. #2842	C₂²	semidirect
44. #2840	C₂²	semidirect
45. #2837	C₂²	semidirect
46. #2836	C₂²	semidirect
47. #2831	C₂²	semidirect
48. #2829	C₂²	semidirect
49. #2829	C₂²	semidirect
50. #2829	C₂²	semidirect
51. #2828	C₂²	semidirect
52. #2820	C₂²	semidirect
53. #2814	C₂²	semidirect
54. #2803	C₂²	semidirect
55. #2797	C₂²	semidirect
56. #2797	C₂²	semidirect
57. #2786	C₂²	semidirect
58. #2783	C₂²	semidirect
59. #2781	C₂²	semidirect
60. #2779	C₂²	semidirect
61. #2761	C₂²	semidirect
62. #2757	C₂²	semidirect
63. #2756	C₂²	semidirect
64. #2752	C₂²	semidirect
65. #2751	C₂²	semidirect
66. #2749	C₂²	semidirect
67. #2741	C₂²	semidirect
68. #2740	C₂²	semidirect
69. #2740	C₂²	semidirect
70. #2737	C₂²	semidirect
71. #2737	C₂²	semidirect
72. #2736	C₂²	semidirect
73. #2735	C₂²	semidirect
74. #2735	C₂²	semidirect
75. #2735	C₂²	semidirect
76. #2724	C₂²	semidirect
77. #2715	C₂²	semidirect
78. #2714	C₂²	semidirect
79. #2711	C₂²	semidirect
80. #2710	C₂²	semidirect
81. #2709	C₂²	semidirect
82. #2708	C₂²	semidirect
83. #2707	C₂²	semidirect
84. #2706	C₂²	semidirect
85. #2706	C₂²	semidirect
86. #2706	C₂²	semidirect
87. #2706	C₂²	semidirect
88. #2705	C₂²	semidirect
89. #2705	C₂²	semidirect
90. #2703	C₂²	semidirect
91. #2703	C₂²	semidirect
92. #2701	C₂²	semidirect
93. #2701	C₂²	semidirect
94. #2701	C₂²	semidirect
95. #2699	C₂²	semidirect
96. #2697	C₂²	semidirect
97. #2697	C₂²	semidirect
98. #2697	C₂²	semidirect
99. #2697	C₂²	semidirect
100. #2697	C₂²	semidirect
101. #2697	C₂²	semidirect
102. #2696	C₂²	semidirect
103. #2694	C₂²	semidirect
104. #2691	C₂²	semidirect
105. #2688	C₂²	semidirect
106. #2686	C₂²	semidirect
107. #2685	C₂²	semidirect
108. #2685	C₂²	semidirect
109. #2685	C₂²	semidirect
110. #2685	C₂²	semidirect
111. #2684	C₂²	semidirect
112. #2684	C₂²	semidirect
113. #2684	C₂²	semidirect
114. #2682	C₂²	semidirect
115. #2679	C₂²	semidirect
116. #2679	C₂²	semidirect
117. #2679	C₂²	semidirect
120. #2678	C₂²	semidirect
121. #2678	C₂²	semidirect
122. #2678	C₂²	semidirect
123. #2678	C₂²	semidirect
124. #2678	C₂²	semidirect
125. #2678	C₂²	semidirect
126. #2678	C₂²	semidirect
127. #2678	C₂²	semidirect
128. #2678	C₂²	semidirect
129. #2678	C₂²	semidirect
130. #2678	C₂²	semidirect
131. #2678	C₂²	semidirect
132. #2678	C₂²	semidirect
133. #2676	C₂²	semidirect
134. #2672	C₂²	semidirect
135. #2671	C₂²	semidirect
136. #2670	C₂²	semidirect
137. #2670	C₂²	semidirect
138. #2670	C₂²	semidirect
139. #2670	C₂²	semidirect
140. #2670	C₂²	semidirect
142. #2669	C₂²	semidirect
143. #2669	C₂²	semidirect
144. #2669	C₂²	semidirect
145. #2668	C₂²	semidirect
146. #2668	C₂²	semidirect
147. #2668	C₂²	semidirect
148. #2661	C₂²	semidirect
149. #2651	C₂²	semidirect
150. #2651	C₂²	semidirect
151. #2648	C₂²	semidirect
152. #2644	C₂²	semidirect
153. #2637	C₂²	semidirect
154. #2623	C₂²	semidirect
155. #2622	C₂²	semidirect
156. #2622	C₂²	semidirect
157. #2622	C₂²	semidirect
158. #2622	C₂²	semidirect
159. #2618	C₂²	semidirect
160. #2618	C₂²	semidirect
161. #2617	C₂²	semidirect
162. #2613	C₂²	semidirect
163. #2610	C₂²	semidirect
164. #2610	C₂²	semidirect
165. #2610	C₂²	semidirect
166. #2601	C₂²	semidirect
167. #2599	C₂²	semidirect
168. #2591	C₂²	semidirect
169. #2558	C₂²	semidirect
170. #2557	C₂²	semidirect
171. #2554	C₂²	semidirect
172. #2554	C₂²	semidirect
173. #2548	C₂²	semidirect
174. #2539	C₂²	semidirect
175. #2539	C₂²	semidirect
176. #2539	C₂²	semidirect
177. #2531	C₂²	semidirect
178. #2529	C₂²	semidirect
179. #2529	C₂²	semidirect
180. #2518	C₂²	semidirect
181. #2516	C₂²	semidirect
182. #2504	C₂²	semidirect
183. #2504	C₂²	semidirect
184. #2490	C₂²	semidirect
185. #2483	C₂²	semidirect
186. #2483	C₂²	semidirect
187. #2479	C₂²	semidirect
188. #2477	C₂²	semidirect
189. #2475	C₂²	semidirect
190. #2472	C₂²	semidirect
191. #2471	C₂²	semidirect
192. #2471	C₂²	semidirect
193. #2458	C₂²	semidirect
194. #2458	C₂²	semidirect
195. #2448	C₂²	semidirect
196. #2433	C₂²	semidirect
197. #2426	C₂²	semidirect
198. #2413	C₂²	semidirect
199. #2413	C₂²	semidirect
200. #2413	C₂²	semidirect
201. #2412	C₂²	semidirect
202. #2411	C₂²	semidirect
203. #2411	C₂²	semidirect
204. #2411	C₂²	semidirect
205. #2411	C₂²	semidirect
206. #2411	C₂²	semidirect
207. #2411	C₂²	semidirect
208. #2411	C₂²	semidirect
209. #2410	C₂²	semidirect
216. #2405	C₂²	semidirect
217. #2405	C₂²	semidirect
224. #2403	C₂²	semidirect
225. #2403	C₂²	semidirect
226. #2312	C₂²	semidirect
227. #2312	C₂²	semidirect
228. #2312	C₂²	semidirect
232. #2309	C₂²	semidirect
233. #2309	C₂²	semidirect
234. #2308	C₂²	semidirect
242. C₂³×D₄	C₂³	semidirect
243. C₂⁴×C₄	C₂³	semidirect
244. C₂⁴×C₄	C₂³	semidirect
250. C₂×#126	C₂³	semidirect
251. C₂×#125	C₂³	semidirect
255. C₂×#124	C₂³	semidirect
272. C₂×#123	C₂³	semidirect
273. C₂×#123	C₂³	semidirect
274. C₂×#123	C₂³	semidirect
275. C₂×#123	C₂³	semidirect
276. C₂×C₂²⋊Q₈	C₂³	semidirect
290. C₂×#121	C₂³	semidirect
318. C₂×#120	C₂³	semidirect
319. C₂×#120	C₂³	semidirect
320. C₂×#120	C₂³	semidirect
321. C₂×#120	C₂³	semidirect
322. C₂×C₄×Q₈	C₂³	semidirect
326. C₂×#117	C₂³	semidirect
327. C₂×#117	C₂³	semidirect
328. C₂²×C₄⋊C₄	C₂³	semidirect
329. C₂²×C₄⋊C₄	C₂³	semidirect
330. C₂²×C₄⋊C₄	C₂³	semidirect
337. C₂²×C₂²⋊C₄	C₂³	semidirect
338. C₂²×C₂²⋊C₄	C₂³	semidirect
339. C₂²×C₂²⋊C₄	C₂³	semidirect
340. #400	C₂³	semidirect
341. #400	C₂³	semidirect
342. #400	C₂³	semidirect
343. #400	C₂³	semidirect
347. #399	C₂³	semidirect
348. #399	C₂³	semidirect
349. #399	C₂³	semidirect
350. #399	C₂³	semidirect
351. #398	C₂³	semidirect
352. #398	C₂³	semidirect
353. #398	C₂³	semidirect
354. #398	C₂³	semidirect
355. #398	C₂³	semidirect
356. #398	C₂³	semidirect
357. #398	C₂³	semidirect
358. #398	C₂³	semidirect
359. #398	C₂³	semidirect
378. #397	C₂³	semidirect
379. #397	C₂³	semidirect
380. #397	C₂³	semidirect
381. #397	C₂³	semidirect
382. #397	C₂³	semidirect
383. #397	C₂³	semidirect
384. #397	C₂³	semidirect
385. #397	C₂³	semidirect
399. #396	C₂³	semidirect
400. #396	C₂³	semidirect
401. #396	C₂³	semidirect
402. #396	C₂³	semidirect
403. #396	C₂³	semidirect
404. #395	C₂³	semidirect
405. #395	C₂³	semidirect
442. #394	C₂³	semidirect
443. #394	C₂³	semidirect
444. #394	C₂³	semidirect
445. #394	C₂³	semidirect
446. #394	C₂³	semidirect
451. #393	C₂³	semidirect
452. #393	C₂³	semidirect
471. #392	C₂³	semidirect
472. #391	C₂³	semidirect
494. #390	C₂³	semidirect
495. #390	C₂³	semidirect
496. #390	C₂³	semidirect
497. #390	C₂³	semidirect
498. #390	C₂³	semidirect
499. #390	C₂³	semidirect
500. #389	C₂³	semidirect
501. #389	C₂³	semidirect
502. #389	C₂³	semidirect
503. #389	C₂³	semidirect
504. #389	C₂³	semidirect
532. #388	C₂³	semidirect
533. #388	C₂³	semidirect
534. #388	C₂³	semidirect
535. #388	C₂³	semidirect
536. #388	C₂³	semidirect
537. #388	C₂³	semidirect
538. #388	C₂³	semidirect
539. #388	C₂³	semidirect
540. #388	C₂³	semidirect
541. #388	C₂³	semidirect
542. #388	C₂³	semidirect
543. #388	C₂³	semidirect
544. #388	C₂³	semidirect
545. #387	C₂³	semidirect
546. #387	C₂³	semidirect
547. #387	C₂³	semidirect
548. #387	C₂³	semidirect
549. #387	C₂³	semidirect
550. #387	C₂³	semidirect
551. #387	C₂³	semidirect
552. #387	C₂³	semidirect
553. #387	C₂³	semidirect
554. #387	C₂³	semidirect
555. #387	C₂³	semidirect
556. #387	C₂³	semidirect
587. #386	C₂³	semidirect
588. #386	C₂³	semidirect
589. #386	C₂³	semidirect
590. #386	C₂³	semidirect
591. #386	C₂³	semidirect
592. #386	C₂³	semidirect
593. #386	C₂³	semidirect
594. #386	C₂³	semidirect
595. #386	C₂³	semidirect
596. #386	C₂³	semidirect
597. #386	C₂³	semidirect
604. #385	C₂³	semidirect
605. #385	C₂³	semidirect
606. #385	C₂³	semidirect
607. #385	C₂³	semidirect
608. #385	C₂³	semidirect
609. #385	C₂³	semidirect
610. #385	C₂³	semidirect
611. #385	C₂³	semidirect
612. #385	C₂³	semidirect
613. #385	C₂³	semidirect
614. #385	C₂³	semidirect
615. #383	C₂³	semidirect
616. #382	C₂³	semidirect
617. #382	C₂³	semidirect
618. #381	C₂³	semidirect
619. #381	C₂³	semidirect
620. #381	C₂³	semidirect
621. #381	C₂³	semidirect
622. #381	C₂³	semidirect
623. #381	C₂³	semidirect
624. #380	C₂³	semidirect
625. #380	C₂³	semidirect
626. #380	C₂³	semidirect
627. #380	C₂³	semidirect
628. #380	C₂³	semidirect
629. #380	C₂³	semidirect
630. #380	C₂³	semidirect
652. #379	C₂³	semidirect
653. #379	C₂³	semidirect
654. #379	C₂³	semidirect
655. #379	C₂³	semidirect
656. C₄×C₄⋊C₄	C₂³	semidirect
657. 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
#57946	2
#57861	2
#57166	2
#57162	2
#57161	2
#57160	2
#56356	2
#53485	2
#53483	2
#53177	2
#53171	2
#53158	2
#47563	2
#46998	2
#46390	2
#46389	2
#46387	2
#46385	2
#37117	2
#36965	2
#36721	2
#36717	2
#36715	2
#36714	2