Subgroups — #8752054

Order 512.

5056 conjugacy classes of subgroups.

The subgroup lattice has 1357 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#57993	C₂	1	4	yes	maximal, complemented
2	#57596	C₂	1	2	yes	maximal, complemented
3	#57147	C₂	1	2	yes	maximal, complemented
4	#56658	C₂	1	2	yes	maximal, complemented
5	#56344	C₂	1	2	yes	maximal, complemented
6	#53924	C₂	1	4	yes	maximal, complemented
7	#53912	C₂	1	4	yes	maximal, complemented
8	#53426	C₂	1	4	yes	maximal, complemented
9	#51155	C₂	1	4	yes	maximal, complemented
10	#48796	C₂	1	2	yes	maximal, complemented
11	#48392	C₂	1	4	yes	maximal, complemented
12	#48113	C₂	1	2	yes	maximal, complemented
13	#47384	C₂	1	4	yes	maximal, complemented
14	#47169	C₂	1	4	yes	maximal, complemented
15	#47035	C₂	1	1	yes	maximal, characteristic, complemented
16	#46858	C₂	1	2	yes	maximal, complemented
17	#46387	C₂	1	1	yes	maximal, characteristic, complemented
18	#45459	C₂	1	4	yes	maximal, complemented
19	#45457	C₂	1	2	yes	maximal, complemented
20	#45442	C₂	1	4	yes	maximal, complemented
21	#45439	C₂	1	2	yes	maximal, complemented
22	#35050	C₂	1	2	yes	maximal, complemented
23	#34992	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×H(3,𝔽₄)	C₂²	1	2	yes	complemented
25	C₂×#525	C₂²	1	2	yes	complemented
26	C₂²×#120	C₂²	1	1	yes	characteristic
27	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
28	#2849	C₂²	1	4	yes	complemented
29	#2849	C₂²	1	4	yes	complemented
30	#2846	C₂²	1	4	yes	complemented
31	#2842	C₂²	1	2	yes	complemented
32	#2842	C₂²	1	1	yes	characteristic, complemented
33	#2830	C₂²	1	4	yes	complemented
34	#2830	C₂²	1	4	yes	complemented
35	#2829	C₂²	1	4	yes	complemented
36	#2829	C₂²	1	4	yes	complemented
37	#2824	C₂²	1	2	yes	complemented
38	#2824	C₂²	1	4	yes	complemented
39	#2820	C₂²	1	4	yes	complemented
40	#2817	C₂²	1	1	yes	characteristic, complemented
41	#2812	C₂²	1	4	yes	—
42	#2812	C₂²	1	2	yes	complemented
43	#2808	C₂²	1	4	yes	complemented
44	#2803	C₂²	1	4	yes	complemented
45	#2800	C₂²	1	4	yes	complemented
46	#2786	C₂²	1	4	yes	complemented
47	#2783	C₂²	1	4	yes	complemented
48	#2778	C₂²	1	4	yes	complemented
49	#2765	C₂²	1	4	yes	complemented
50	#2761	C₂²	1	4	yes	complemented
51	#2759	C₂²	1	4	yes	complemented
52	#2753	C₂²	1	4	yes	complemented
53	#2753	C₂²	1	4	yes	complemented
54	#2752	C₂²	1	2	yes	complemented
55	#2752	C₂²	1	2	yes	complemented
56	#2751	C₂²	1	4	yes	complemented
57	#2750	C₂²	1	4	yes	complemented
58	#2749	C₂²	1	4	yes	complemented
59	#2749	C₂²	1	4	yes	complemented
60	#2749	C₂²	1	4	yes	complemented
61	#2748	C₂²	1	2	yes	complemented
62	#2746	C₂²	1	4	yes	complemented
63	#2744	C₂²	1	4	yes	complemented
64	#2742	C₂²	1	4	yes	complemented
65	#2741	C₂²	1	4	yes	complemented
66	#2740	C₂²	1	4	yes	complemented
67	#2738	C₂²	1	4	yes	complemented
68	#2736	C₂²	1	2	yes	complemented
69	#2735	C₂²	1	4	yes	complemented
70	#2735	C₂²	1	2	yes	complemented
71	#2735	C₂²	1	4	yes	complemented
72	#2735	C₂²	1	2	yes	complemented
73	#2732	C₂²	1	4	yes	complemented
74	#2731	C₂²	1	4	yes	complemented
75	#2723	C₂²	1	4	yes	complemented
76	#2723	C₂²	1	4	yes	complemented
77	#2717	C₂²	1	4	yes	complemented
78	#2716	C₂²	1	4	yes	complemented
79	#2710	C₂²	1	4	yes	complemented
80	#2710	C₂²	1	4	yes	complemented
81	#2707	C₂²	1	4	yes	complemented
82	#2707	C₂²	1	4	yes	complemented
83	#2706	C₂²	1	4	yes	complemented
84	#2705	C₂²	1	4	yes	complemented
85	#2700	C₂²	1	4	yes	complemented
86	#2700	C₂²	1	4	yes	complemented
87	#2697	C₂²	1	4	yes	complemented
88	#2697	C₂²	1	4	yes	complemented
89	#2694	C₂²	1	4	yes	complemented
90	#2693	C₂²	1	2	yes	complemented
91	#2693	C₂²	1	4	yes	complemented
92	#2691	C₂²	1	4	yes	complemented
93	#2687	C₂²	1	4	yes	complemented
94	#2687	C₂²	1	4	yes	complemented
95	#2686	C₂²	1	4	yes	complemented
96	#2686	C₂²	1	4	yes	complemented
97	#2685	C₂²	1	4	yes	complemented
98	#2685	C₂²	1	4	yes	complemented
99	#2685	C₂²	1	4	yes	complemented
100	#2684	C₂²	1	2	yes	complemented
101	#2684	C₂²	1	4	yes	complemented
102	#2684	C₂²	1	2	yes	complemented
103	#2679	C₂²	1	4	yes	complemented
104	#2679	C₂²	1	2	yes	complemented
105	#2678	C₂²	1	4	yes	—
106	#2678	C₂²	1	4	yes	complemented
107	#2678	C₂²	1	4	yes	complemented
108	#2678	C₂²	1	4	yes	complemented
109	#2678	C₂²	1	4	yes	complemented
110	#2677	C₂²	1	2	yes	complemented
111	#2674	C₂²	1	4	yes	complemented
112	#2674	C₂²	1	4	yes	complemented
113	#2670	C₂²	1	4	yes	—
114	#2670	C₂²	1	4	yes	—
115	#2670	C₂²	1	4	yes	—
116	#2668	C₂²	1	2	yes	complemented
117	#2665	C₂²	1	2	yes	complemented
118	#2653	C₂²	1	4	yes	complemented
119	#2651	C₂²	1	4	yes	complemented
120	#2650	C₂²	1	4	yes	complemented
121	#2630	C₂²	1	4	yes	complemented
122	#2626	C₂²	1	2	yes	complemented
123	#2626	C₂²	1	2	yes	complemented
124	#2624	C₂²	1	2	yes	complemented
125	#2622	C₂²	1	4	yes	complemented
126	#2617	C₂²	1	2	yes	—
127	#2617	C₂²	1	2	yes	complemented
128	#2617	C₂²	1	4	yes	complemented
129	#2609	C₂²	1	4	yes	complemented
130	#2607	C₂²	1	1	yes	characteristic, complemented
131	#2601	C₂²	1	4	yes	complemented
132	#2601	C₂²	1	4	yes	complemented
133	#2597	C₂²	1	4	yes	complemented
134	#2576	C₂²	1	4	yes	complemented
135	#2576	C₂²	1	4	yes	complemented
136	#2575	C₂²	1	4	yes	complemented
137	#2563	C₂²	1	4	yes	complemented
138	#2561	C₂²	1	2	yes	complemented
139	#2561	C₂²	1	2	yes	complemented
140	#2556	C₂²	1	4	yes	complemented
141	#2554	C₂²	1	4	yes	complemented
142	#2553	C₂²	1	4	yes	complemented
143	#2539	C₂²	1	2	yes	—
144	#2539	C₂²	1	2	yes	—
145	#2539	C₂²	1	2	yes	complemented
146	#2534	C₂²	1	4	yes	complemented
147	#2534	C₂²	1	4	yes	complemented
148	#2534	C₂²	1	4	yes	complemented
149	#2517	C₂²	1	2	yes	complemented
150	#2516	C₂²	1	4	yes	complemented
151	#2516	C₂²	1	4	yes	complemented
152	#2515	C₂²	1	4	yes	complemented
153	#2513	C₂²	1	4	yes	complemented
154	#2490	C₂²	1	4	yes	complemented
155	#2483	C₂²	1	2	yes	complemented
156	#2483	C₂²	1	2	yes	complemented
157	#2482	C₂²	1	2	yes	complemented
158	#2482	C₂²	1	2	yes	complemented
159	#2482	C₂²	1	2	yes	complemented
160	#2480	C₂²	1	4	yes	complemented
161	#2475	C₂²	1	4	yes	complemented
162	#2474	C₂²	1	4	yes	complemented
163	#2474	C₂²	1	4	yes	complemented
164	#2474	C₂²	1	4	yes	complemented
165	#2474	C₂²	1	4	yes	complemented
166	#2472	C₂²	1	4	yes	complemented
167	#2472	C₂²	1	4	yes	complemented
168	#2472	C₂²	1	4	yes	complemented
169	#2472	C₂²	1	4	yes	complemented
170	#2471	C₂²	1	4	yes	complemented
171	#2471	C₂²	1	4	yes	complemented
172	#2471	C₂²	1	4	yes	complemented
173	#2470	C₂²	1	4	yes	complemented
174	#2467	C₂²	1	4	yes	complemented
175	#2461	C₂²	1	4	yes	complemented
176	#2461	C₂²	1	4	yes	complemented
177	#2459	C₂²	1	4	yes	complemented
178	#2459	C₂²	1	4	yes	complemented
179	#2447	C₂²	1	4	yes	complemented
180	#2447	C₂²	1	4	yes	complemented
181	#2435	C₂²	1	4	yes	—
182	#2435	C₂²	1	2	yes	—
183	#2432	C₂²	1	4	yes	complemented
184	#2424	C₂²	1	4	yes	complemented
185	#2418	C₂²	1	4	yes	complemented
186	#2418	C₂²	1	4	yes	complemented
187	#2418	C₂²	1	4	yes	complemented
188	#2412	C₂²	1	4	yes	complemented
189	#2412	C₂²	1	4	yes	complemented
190	#2411	C₂²	1	4	yes	complemented
191	#2411	C₂²	1	4	yes	complemented
192	#2411	C₂²	1	4	yes	complemented
193	#2405	C₂²	1	2	yes	—
194	#2405	C₂²	1	2	yes	—
195	#2405	C₂²	1	4	yes	complemented
196	#2404	C₂²	1	2	yes	—
197	#2404	C₂²	1	2	yes	complemented
198	#2404	C₂²	1	4	yes	complemented
199	#2403	C₂²	1	4	yes	—
200	#2403	C₂²	1	2	yes	—
201	#2403	C₂²	1	1	yes	characteristic, complemented
202	#2379	C₂²	1	2	yes	complemented
203	#2377	C₂²	1	2	yes	complemented
204	#2375	C₂²	1	2	yes	complemented
205	#2375	C₂²	1	4	yes	complemented
206	#2358	C₂²	1	2	yes	complemented
207	#2347	C₂²	1	2	yes	complemented
208	#2335	C₂²	1	4	yes	complemented
209	#2332	C₂²	1	2	yes	complemented
210	#2321	C₂²	1	4	yes	complemented
211	#2321	C₂²	1	4	yes	complemented
212	#2315	C₂²	1	1	yes	characteristic, complemented
213	#2315	C₂²	1	1	yes	characteristic, complemented
214	#2309	C₂²	1	2	yes	complemented
215	#2308	C₂²	1	1	yes	characteristic
216	#2308	C₂²	1	1	yes	characteristic
217	#2280	C₂²	1	2	yes	complemented
218	C₂×#379	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	2	yes	—
221	C₂³×D₄	C₂³	1	1	yes	characteristic
222	C₂³×D₄	C₂³	1	2	yes	—
223	C₂³×D₄	C₂³	1	2	yes	—
224	C₂⁴×C₄	C₂³	1	2	yes	—
225	H(3,𝔽₄)	—	4	8	no	—
226	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
227	C₂×#126	C₂³	1	4	yes	—
228	C₂×#126	C₂³	1	4	yes	complemented
229	C₂×#125	C₂³	1	4	yes	complemented
230	C₂×#124	C₂³	1	2	yes	—
231	C₂×#124	C₂³	1	4	yes	—
232	C₂×#124	C₂³	1	4	yes	—
233	C₂×#124	C₂³	1	4	yes	—
234	C₂×#124	C₂³	1	4	yes	—
235	C₂×#124	C₂³	1	2	yes	—
236	C₂×#124	C₂³	1	4	yes	—
237	#525	—	4	8	no	—
238	C₂×#123	C₂³	1	4	yes	—
239	C₂×#123	C₂³	1	4	yes	—
240	C₂×#123	C₂³	1	4	yes	—
241	C₂×#123	C₂³	1	4	yes	—
242	C₂×#123	C₂³	1	4	yes	—
243	C₂×#123	C₂³	1	4	yes	—
244	C₂×#123	C₂³	1	4	yes	—
245	C₂×#123	C₂³	1	4	yes	complemented
246	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
247	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
248	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
249	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
250	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
251	C₂×#121	C₂³	1	2	yes	—
252	C₂×#121	C₂³	1	2	yes	—
253	C₂×#121	C₂³	1	2	yes	—
254	C₂×#121	C₂³	1	4	yes	—
255	C₂×#120	—	4	4	no	—
256	C₂×#120	C₂³	1	4	yes	—
257	C₂×#120	C₂³	1	2	yes	—
258	C₂×#120	C₂³	1	4	yes	—
259	C₂×#120	C₂³	1	4	yes	—
260	C₂×#120	C₂³	1	2	yes	—
261	C₂×#120	C₂³	1	2	yes	—
262	C₂×#120	C₂³	1	4	yes	—
263	C₂×#120	C₂³	1	2	yes	—
264	C₂×#120	C₂³	1	4	yes	—
265	C₂×#120	C₂³	1	4	yes	—
266	C₂×#120	C₂³	1	4	yes	—
267	C₂×#120	C₂³	1	4	yes	—
268	C₂×#120	C₂³	1	4	yes	—
269	C₂×#120	C₂³	1	4	yes	—
270	C₂×#120	C₂³	1	4	yes	complemented
271	C₂×C₄×D₄	C₂³	1	4	yes	—
272	C₂×C₄×D₄	C₂³	1	4	yes	—
273	C₂×C₄×D₄	C₂³	1	4	yes	—
274	C₂×#117	C₂³	1	2	yes	—
275	C₂×#117	C₂³	1	2	yes	—
276	C₂×#117	C₂³	1	4	yes	—
277	C₂×#117	C₂³	1	4	yes	complemented
278	C₂²×C₂²⋊C₄	—	4	4	no	—
279	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
281	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
289	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
292	#401	C₂³	1	4	yes	complemented
293	#400	C₂³	1	4	yes	complemented
294	#400	C₂³	1	4	yes	complemented
295	#400	C₂³	1	4	yes	complemented
296	#400	C₂³	1	4	yes	complemented
297	#400	C₂³	1	4	yes	complemented
298	#400	C₂³	1	4	yes	complemented
299	#399	C₂³	1	2	yes	—
300	#399	C₂³	1	4	yes	—
301	#399	C₂³	1	2	yes	—
302	#399	C₂³	1	2	yes	—
303	#399	C₂³	1	2	yes	—
304	#399	C₂³	1	2	yes	—
305	#399	C₂³	1	2	yes	—
306	#399	C₂³	1	2	yes	—
307	#399	C₂³	1	2	yes	—
308	#399	C₂³	1	4	yes	complemented
309	#399	C₂³	1	4	yes	complemented
310	#399	C₂³	1	4	yes	complemented
311	#398	C₂³	1	4	yes	complemented
312	#398	C₂³	1	4	yes	complemented
313	#398	C₂³	1	4	yes	complemented
314	#398	C₂³	1	4	yes	complemented
315	#398	C₂³	1	4	yes	complemented
316	#398	C₂³	1	4	yes	complemented
317	#397	C₂³	1	2	yes	—
318	#397	C₂³	1	2	yes	—
319	#397	C₂³	1	2	yes	—
320	#397	C₂³	1	2	yes	—
321	#397	C₂³	1	2	yes	—
322	#397	C₂³	1	4	yes	—
323	#397	C₂³	1	4	yes	—
324	#397	C₂³	1	4	yes	—
325	#397	C₂³	1	4	yes	—
326	#397	C₂³	1	4	yes	—
327	#397	C₂³	1	4	yes	—
328	#397	C₂³	1	4	yes	—
329	#397	C₂³	1	4	yes	—
330	#397	C₂³	1	4	yes	—
331	#397	C₂³	1	4	yes	—
332	#397	C₂³	1	4	yes	—
333	#397	C₂³	1	2	yes	—
334	#397	C₂³	1	4	yes	complemented
335	#397	C₂³	1	4	yes	complemented
336	#397	C₂³	1	4	yes	complemented
337	#397	C₂³	1	4	yes	complemented
338	#397	C₂³	1	4	yes	complemented
339	#397	C₂³	1	4	yes	complemented
340	#397	C₂³	1	4	yes	complemented
341	#397	C₂³	1	4	yes	complemented
342	#397	C₂³	1	4	yes	complemented
343	#397	C₂³	1	4	yes	complemented
344	#397	C₂³	1	4	yes	complemented
345	#397	C₂³	1	4	yes	complemented
346	#396	C₂³	1	4	yes	—
347	#396	C₂³	1	4	yes	—
348	#396	C₂³	1	4	yes	—
349	#396	C₂³	1	4	yes	—
350	#396	C₂³	1	4	yes	—
351	#396	C₂³	1	4	yes	—
352	#396	C₂³	1	4	yes	—
353	#396	C₂³	1	4	yes	—
354	#396	C₂³	1	4	yes	—
355	#396	C₂³	1	4	yes	—
356	#396	C₂³	1	4	yes	complemented
357	#396	C₂³	1	4	yes	complemented
358	#396	C₂³	1	4	yes	complemented
359	#396	C₂³	1	4	yes	complemented
360	#396	C₂³	1	4	yes	complemented
361	#396	C₂³	1	4	yes	complemented
362	#396	C₂³	1	4	yes	complemented
363	#395	C₂³	1	4	yes	complemented
364	#395	C₂³	1	4	yes	complemented
365	#395	C₂³	1	4	yes	complemented
366	#395	C₂³	1	4	yes	complemented
367	#394	C₂³	1	4	yes	—
368	#394	C₂³	1	4	yes	—
369	#394	C₂³	1	4	yes	—
370	#394	C₂³	1	4	yes	—
371	#394	C₂³	1	4	yes	—
372	#394	C₂³	1	4	yes	—
373	#394	C₂³	1	4	yes	—
374	#394	C₂³	1	4	yes	—
375	#394	C₂³	1	4	yes	—
376	#394	C₂³	1	4	yes	—
377	#394	C₂³	1	4	yes	—
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	4	yes	—
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	4	yes	—
384	#394	C₂³	1	4	yes	—
385	#394	C₂³	1	4	yes	—
386	#394	C₂³	1	4	yes	—
387	#394	C₂³	1	4	yes	—
388	#394	C₂³	1	4	yes	—
389	#394	C₂³	1	4	yes	—
390	#394	C₂³	1	4	yes	—
391	#394	C₂³	1	4	yes	—
392	#394	C₂³	1	4	yes	—
393	#394	C₂³	1	4	yes	—
394	#394	C₂³	1	4	yes	—
395	#394	C₂³	1	4	yes	complemented
396	#394	C₂³	1	4	yes	complemented
397	#394	C₂³	1	4	yes	complemented
398	#394	C₂³	1	4	yes	complemented
399	#394	C₂³	1	4	yes	complemented
400	#393	C₂³	1	2	yes	—
401	#393	C₂³	1	2	yes	—
402	#393	C₂³	1	2	yes	—
403	#393	C₂³	1	2	yes	—
404	#393	C₂³	1	4	yes	—
405	#393	C₂³	1	4	yes	—
406	#393	C₂³	1	4	yes	—
407	#393	C₂³	1	4	yes	complemented
408	#393	C₂³	1	4	yes	complemented
409	#393	C₂³	1	4	yes	complemented
410	#393	C₂³	1	4	yes	complemented
411	#392	C₂³	1	2	yes	—
412	#392	C₂³	1	4	yes	—
413	#392	C₂³	1	2	yes	—
414	#392	C₂³	1	4	yes	—
415	#392	C₂³	1	2	yes	—
416	#392	C₂³	1	2	yes	—
417	#392	C₂³	1	4	yes	—
418	#392	C₂³	1	4	yes	—
419	#392	C₂³	1	4	yes	—
420	#392	C₂³	1	4	yes	—
421	#392	C₂³	1	2	yes	—
422	#392	C₂³	1	4	yes	—
423	#392	C₂³	1	2	yes	—
424	#391	C₂³	1	4	yes	complemented
425	#391	C₂³	1	4	yes	complemented
426	#391	C₂³	1	4	yes	complemented
427	#391	C₂³	1	4	yes	complemented
428	#391	C₂³	1	4	yes	complemented
429	#390	C₂³	1	4	yes	—
430	#390	C₂³	1	4	yes	—
431	#390	C₂³	1	4	yes	—
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	2	yes	—
440	#390	C₂³	1	4	yes	—
441	#390	C₂³	1	2	yes	—
442	#390	C₂³	1	4	yes	—
443	#390	C₂³	1	4	yes	—
444	#390	C₂³	1	4	yes	—
445	#390	C₂³	1	4	yes	complemented
446	#390	C₂³	1	4	yes	complemented
447	#390	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	#389	C₂³	1	4	yes	complemented
452	#389	C₂³	1	4	yes	complemented
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	complemented
480	#388	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	C₂³	1	4	yes	complemented
486	#388	C₂³	1	4	yes	complemented
487	#388	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	complemented
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	#387	C₂³	1	4	yes	complemented
497	#387	C₂³	1	4	yes	complemented
498	#387	C₂³	1	4	yes	complemented
499	#387	C₂³	1	4	yes	complemented
500	#387	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#387	C₂³	1	4	yes	complemented
510	#387	C₂³	1	4	yes	complemented
511	#387	C₂³	1	4	yes	complemented
512	#387	C₂³	1	4	yes	complemented
513	#386	C₂³	1	4	yes	—
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	2	yes	—
516	#386	C₂³	1	2	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	4	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	4	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	4	yes	—
524	#386	C₂³	1	4	yes	—
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	4	yes	—
531	#386	C₂³	1	4	yes	—
532	#386	C₂³	1	4	yes	—
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	2	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	4	yes	—
537	#386	C₂³	1	2	yes	—
538	#386	C₂³	1	4	yes	—
539	#386	C₂³	1	4	yes	—
540	#386	C₂³	1	4	yes	complemented
541	#386	C₂³	1	4	yes	complemented
542	#386	C₂³	1	4	yes	complemented
543	#386	C₂³	1	4	yes	complemented
544	#385	C₂³	1	2	yes	—
545	#385	C₂³	1	4	yes	—
546	#385	C₂³	1	2	yes	—
547	#385	C₂³	1	4	yes	—
548	#385	C₂³	1	2	yes	—
549	#385	C₂³	1	2	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	4	yes	—
558	#385	C₂³	1	4	yes	complemented
559	#385	C₂³	1	4	yes	complemented
560	#385	C₂³	1	4	yes	complemented
561	#385	C₂³	1	4	yes	complemented
562	#385	C₂³	1	4	yes	complemented
563	#383	C₂³	1	4	yes	complemented
564	#382	C₂³	1	4	yes	complemented
565	#382	C₂³	1	4	yes	complemented
566	#382	C₂³	1	4	yes	complemented
567	#381	C₂³	1	4	yes	—
568	#381	C₂³	1	4	yes	—
569	#381	C₂³	1	1	yes	characteristic
570	#381	C₂³	1	2	yes	—
571	#381	C₂³	1	1	yes	characteristic
572	#381	C₂³	1	4	yes	—
573	#381	C₂³	1	4	yes	—
574	#381	C₂³	1	2	yes	—
575	#381	C₂³	1	2	yes	—
576	#381	C₂³	1	2	yes	—
577	#381	C₂³	1	4	yes	complemented
578	#380	C₂³	1	4	yes	—
579	#380	C₂³	1	4	yes	—
580	#380	C₂³	1	2	yes	—
581	#380	C₂³	1	2	yes	—
582	#380	C₂³	1	2	yes	—
583	#380	C₂³	1	2	yes	—
584	#380	C₂³	1	4	yes	—
585	#380	C₂³	1	4	yes	complemented
586	#380	C₂³	1	4	yes	complemented
587	#380	C₂³	1	4	yes	complemented
588	#379	C₂³	1	4	yes	—
589	#379	C₂³	1	4	yes	—
590	#379	C₂³	1	1	yes	characteristic
591	#379	C₂³	1	1	yes	characteristic
592	#379	C₂³	1	2	yes	—
593	#379	C₂³	1	2	yes	—
594	#379	C₂³	1	4	yes	—
595	#379	C₂³	1	4	yes	—
596	#379	C₂³	1	4	yes	—
597	#379	C₂³	1	2	yes	—
598	#379	C₂³	1	4	yes	—
599	#379	C₂³	1	4	yes	—
600	#379	C₂³	1	2	yes	—
601	#379	C₂³	1	4	yes	—
602	#379	C₂³	1	2	yes	—
603	#379	C₂³	1	2	yes	—
604	#379	C₂³	1	4	yes	complemented
605	#379	C₂³	1	4	yes	complemented
606	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
607	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
608	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
609	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
610	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
615	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
617	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
618	C₂⁵	—	2	4	no	—
619	C₂⁵	—	4	2	no	—
620	C₂⁵	—	4	2	no	—
621	C₂⁵	—	8	4	no	—
622	C₂⁵	C₂⁴	1	1	yes	characteristic
623	C₂⁵	C₂⁴	1	2	yes	—
624	C₂⁵	C₂⁴	1	2	yes	—
625	C₂⁵	C₂⁴	1	1	yes	characteristic
626	C₂⁵	C₂⁴	1	1	yes	characteristic
627	C₂⁵	C₂⁴	1	2	yes	—
628	C₂⁵	C₂⁴	1	1	yes	characteristic
629	C₂×#41	—	4	4	no	—
630	C₂×#41	—	8	4	no	—
631	C₂²×Q₈	C₂⁴	1	2	yes	—
632	C₂²×Q₈	C₂⁴	1	4	yes	—
633	C₂²×Q₈	C₂⁴	1	2	yes	—
634	C₂²×D₄	—	4	2	no	—
635	C₂²×D₄	—	4	2	no	—
636	C₂²×D₄	—	4	4	no	—
637	C₂²×D₄	—	4	4	no	—
638	C₂²×D₄	—	4	2	no	—
639	C₂²×D₄	—	8	4	no	—
640	C₂²×D₄	—	8	4	no	—
641	C₂²×D₄	C₂⁴	1	4	yes	—
642	C₂²×D₄	C₂⁴	1	4	yes	—
643	C₂²×D₄	C₂⁴	1	4	yes	—
644	C₂²×D₄	C₂⁴	1	4	yes	—
645	C₂²×D₄	C₂⁴	1	4	yes	—
646	C₂²×D₄	C₂⁴	1	4	yes	—
647	C₂²×D₄	C₂⁴	1	2	yes	—
648	C₂²×D₄	C₂⁴	1	2	yes	—
649	C₂²×D₄	C₂⁴	1	4	yes	—
650	C₂²×D₄	C₂⁴	1	4	yes	—
651	C₂²×D₄	C₂⁴	1	4	yes	—
652	C₂²×D₄	C₂⁴	1	2	yes	—
653	C₂²×D₄	C₂⁴	1	2	yes	—
654	C₂²×D₄	C₂⁴	1	4	yes	—
655	C₂³×C₄	—	2	8	no	—
656	C₂³×C₄	—	8	4	no	—
657	C₂³×C₄	C₂⁴	1	2	yes	—
658	C₂³×C₄	C₂⁴	1	2	yes	—
659	C₂³×C₄	C₂⁴	1	2	yes	—
660	C₂³×C₄	C₂⁴	1	2	yes	—
661	C₂³×C₄	C₂⁴	1	2	yes	—
662	C₂³×C₄	C₂⁴	1	2	yes	—
663	C₂³×C₄	C₂⁴	1	2	yes	—
664	C₂³×C₄	C₂⁴	1	1	yes	characteristic
665	C₂³×C₄	C₂⁴	1	2	yes	—
666	C₂³×C₄	C₂⁴	1	2	yes	—
667	C₂³×C₄	C₂⁴	1	4	yes	—
668	C₂³×C₄	C₂⁴	1	4	yes	—
669	C₂³×C₄	C₂⁴	1	2	yes	—
670	C₄⋊Q₈	—	8	4	no	—
671	#126	—	8	4	no	—
672	#126	—	8	4	no	—
673	#125	—	8	4	no	—
674	#124	—	4	4	no	—
675	#124	—	4	8	no	—
676	#124	—	4	8	no	—
677	#124	—	4	8	no	—
678	#124	—	4	8	no	—
679	#124	—	4	4	no	—
680	#124	—	8	4	no	—
681	#123	—	4	8	no	—
682	#123	—	4	8	no	—
683	#123	—	8	4	no	—
684	#123	—	8	4	no	—
685	#123	—	8	4	no	—
686	#123	—	8	4	no	—
687	#123	—	8	4	no	—
688	#123	—	8	4	no	—
689	C₂²⋊Q₈	—	4	4	no	—
690	C₂²⋊Q₈	—	4	4	no	—
691	C₂²⋊Q₈	—	4	4	no	—
692	C₂²⋊Q₈	—	8	4	no	—
693	C₂²⋊Q₈	—	8	4	no	—
694	#121	—	4	4	no	—
695	#121	—	4	4	no	—
696	#121	—	4	4	no	—
697	#121	—	8	4	no	—
698	#120	—	2	8	no	—
699	#120	—	2	16	no	—
700	#120	—	4	8	no	—
701	#120	—	4	4	no	—
702	#120	—	4	8	no	—
703	#120	—	4	8	no	—
704	#120	—	4	4	no	—
705	#120	—	4	4	no	—
706	#120	—	4	8	no	—
707	#120	—	8	4	no	—
708	#120	—	8	4	no	—
709	#120	—	8	4	no	—
710	#120	—	8	4	no	—
711	#120	—	8	4	no	—
712	#120	—	8	4	no	—
713	C₄×D₄	—	4	8	no	—
714	C₄×D₄	—	4	8	no	—
715	C₄×D₄	—	8	4	no	—
716	#117	—	4	4	no	—
717	#117	—	4	4	no	—
718	#117	—	8	4	no	—
719	#117	—	8	4	no	—
720	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
721	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
722	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
723	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
725	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
726	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
727	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
729	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
730	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
731	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
732	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
733	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
738	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
739	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₂²⋊C₄	—	4	2	no	—
752	C₂×C₂²⋊C₄	—	4	2	no	—
753	C₂×C₂²⋊C₄	—	4	4	no	—
754	C₂×C₂²⋊C₄	—	4	4	no	—
755	C₂×C₂²⋊C₄	—	4	4	no	—
756	C₂×C₂²⋊C₄	—	4	4	no	—
757	C₂×C₂²⋊C₄	—	4	4	no	—
758	C₂×C₂²⋊C₄	—	4	2	no	—
759	C₂×C₂²⋊C₄	—	4	4	no	—
760	C₂×C₂²⋊C₄	—	4	2	no	—
761	C₂×C₂²⋊C₄	—	4	2	no	—
762	C₂×C₂²⋊C₄	—	8	4	no	—
763	C₂×C₂²⋊C₄	—	8	4	no	—
764	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
778	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
784	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
785	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₄²	C₂⁴	1	4	yes	—
838	C₂×C₄²	C₂⁴	1	4	yes	—
839	C₂×C₄²	C₂⁴	1	4	yes	—
840	C₂×C₄²	C₂⁴	1	4	yes	—
841	C₂×C₄²	C₂⁴	1	4	yes	—
842	C₂×C₄²	C₂⁴	1	4	yes	—
843	C₂×C₄²	C₂⁴	1	2	yes	—
844	C₂×C₄²	C₂⁴	1	4	yes	—
845	C₂×C₄²	C₂⁴	1	4	yes	—
846	C₂×C₄²	C₂⁴	1	2	yes	—
847	#95	C₂⁴	1	2	yes	—
848	#95	C₂⁴	1	2	yes	—
849	#95	C₂⁴	1	4	yes	—
850	#95	C₂⁴	1	4	yes	—
851	#95	C₂⁴	1	2	yes	—
852	#95	C₂⁴	1	2	yes	—
853	#95	C₂⁴	1	2	yes	—
854	#95	C₂⁴	1	4	yes	—
855	#95	C₂⁴	1	2	yes	—
856	#95	C₂⁴	1	4	yes	—
857	#95	C₂⁴	1	4	yes	—
858	#95	C₂⁴	1	4	yes	—
859	#95	C₂⁴	1	4	yes	—
860	#95	C₂⁴	1	4	yes	—
861	#95	C₂⁴	1	4	yes	—
862	#95	C₂⁴	1	4	yes	—
863	#95	C₂⁴	1	4	yes	—
864	#95	C₂⁴	1	4	yes	—
865	#95	C₂⁴	1	4	yes	—
866	#95	C₂⁴	1	4	yes	—
867	#95	C₂⁴	1	4	yes	—
868	#95	C₂⁴	1	4	yes	—
869	#95	C₂⁴	1	4	yes	—
870	#95	C₂⁴	1	4	yes	—
871	#95	C₂⁴	1	4	yes	—
872	#95	C₂⁴	1	4	yes	—
873	#95	C₂⁴	1	4	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	4	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	4	yes	—
878	#95	C₂⁴	1	4	yes	—
879	#95	C₂⁴	1	4	yes	—
880	#95	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	2	yes	—
882	#95	C₂⁴	1	2	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	4	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	4	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	#95	C₂⁴	1	4	yes	—
891	C₂⁴	—	2	2	no	—
892	C₂⁴	—	2	2	no	—
893	C₂⁴	—	2	2	no	—
894	C₂⁴	—	2	4	no	—
895	C₂⁴	—	2	4	no	—
896	C₂⁴	—	2	2	no	—
897	C₂⁴	—	2	4	no	—
898	C₂⁴	—	2	4	no	—
899	C₂⁴	—	2	2	no	—
900	C₂⁴	—	4	4	no	—
901	C₂⁴	—	4	1	no	—
902	C₂⁴	—	4	1	no	—
903	C₂⁴	—	4	4	no	—
904	C₂⁴	—	4	4	no	—
905	C₂⁴	—	4	2	no	—
906	C₂⁴	—	4	2	no	—
907	C₂⁴	—	4	1	no	—
908	C₂⁴	—	4	1	no	—
909	C₂⁴	—	4	4	no	—
910	C₂⁴	—	4	4	no	—
911	C₂⁴	—	4	4	no	—
912	C₂⁴	—	4	4	no	—
913	C₂⁴	—	4	1	no	—
914	C₂⁴	—	4	4	no	—
915	C₂⁴	—	4	2	no	—
916	C₂⁴	—	4	4	no	—
917	C₂⁴	—	4	4	no	—
918	C₂⁴	—	4	1	no	—
919	C₂⁴	—	4	2	no	—
920	C₂⁴	—	4	2	no	—
921	C₂⁴	—	4	16	no	—
922	C₂⁴	—	8	16	no	—
923	C₂⁴	—	8	16	no	—
924	C₂⁴	—	8	16	no	—
925	C₂⁴	H(5,𝔽₂)	1	4	yes	—
926	C₂⁴	C₂⁵	1	2	yes	—
927	C₂⁴	C₂⁵	1	2	yes	—
928	C₂⁴	C₂⁵	1	4	yes	—
929	C₂⁴	C₂⁵	1	2	yes	—
930	C₂⁴	C₂⁵	1	1	yes	characteristic
931	C₂⁴	C₂⁵	1	1	yes	characteristic
932	C₂⁴	C₂⁵	1	1	yes	characteristic
933	#41	—	8	16	no	—
934	C₂×Q₈	—	4	2	no	—
935	C₂×Q₈	—	4	4	no	—
936	C₂×Q₈	—	4	2	no	—
937	C₂×Q₈	—	4	4	no	—
938	C₂×Q₈	—	4	2	no	—
939	C₂×Q₈	—	4	4	no	—
940	C₂×Q₈	—	4	2	no	—
941	C₂×Q₈	—	4	4	no	—
942	C₂×D₄	—	2	8	no	—
943	C₂×D₄	—	2	8	no	—
944	C₂×D₄	—	2	8	no	—
945	C₂×D₄	—	2	4	no	—
946	C₂×D₄	—	2	8	no	—
947	C₂×D₄	—	2	8	no	—
948	C₂×D₄	—	2	8	no	—
949	C₂×D₄	—	2	4	no	—
950	C₂×D₄	—	4	4	no	—
951	C₂×D₄	—	4	2	no	—
952	C₂×D₄	—	4	4	no	—
953	C₂×D₄	—	4	4	no	—
954	C₂×D₄	—	4	4	no	—
955	C₂×D₄	—	4	4	no	—
956	C₂×D₄	—	4	4	no	—
957	C₂×D₄	—	4	4	no	—
958	C₂×D₄	—	4	4	no	—
959	C₂×D₄	—	4	4	no	—
960	C₂×D₄	—	4	4	no	—
961	C₂×D₄	—	4	4	no	—
962	C₂×D₄	—	4	4	no	—
963	C₂×D₄	—	4	4	no	—
964	C₂×D₄	—	4	4	no	—
965	C₂×D₄	—	4	2	no	—
966	C₂×D₄	—	4	4	no	—
967	C₂×D₄	—	4	4	no	—
968	C₂×D₄	—	4	4	no	—
969	C₂×D₄	—	4	4	no	—
970	C₂×D₄	—	4	2	no	—
971	C₂×D₄	—	4	4	no	—
972	C₂×D₄	—	4	2	no	—
973	C₂×D₄	—	4	2	no	—
974	C₂×D₄	—	4	4	no	—
975	C₂×D₄	—	4	4	no	—
976	C₂×D₄	—	4	4	no	—
977	C₂×D₄	—	4	4	no	—
978	C₂×D₄	—	4	4	no	—
979	C₂×D₄	—	4	4	no	—
980	C₂×D₄	—	4	4	no	—
981	C₂×D₄	—	4	2	no	—
982	C₂×D₄	—	8	16	no	—
983	C₂×D₄	—	8	8	no	—
984	C₂×D₄	—	8	16	no	—
985	C₂²×C₄	—	2	4	no	—
986	C₂²×C₄	—	2	4	no	—
987	C₂²×C₄	—	2	4	no	—
988	C₂²×C₄	—	2	4	no	—
989	C₂²×C₄	—	2	4	no	—
990	C₂²×C₄	—	2	4	no	—
991	C₂²×C₄	—	2	4	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	4	4	no	—
994	C₂²×C₄	—	4	4	no	—
995	C₂²×C₄	—	4	4	no	—
996	C₂²×C₄	—	4	2	no	—
997	C₂²×C₄	—	4	1	no	—
998	C₂²×C₄	—	4	2	no	—
999	C₂²×C₄	—	4	4	no	—
1000	C₂²×C₄	—	4	4	no	—
1001	C₂²×C₄	—	4	4	no	—
1002	C₂²×C₄	—	4	4	no	—
1003	C₂²×C₄	—	4	4	no	—
1004	C₂²×C₄	—	4	4	no	—
1005	C₂²×C₄	—	4	4	no	—
1006	C₂²×C₄	—	4	4	no	—
1007	C₂²×C₄	—	4	4	no	—
1008	C₂²×C₄	—	4	1	no	—
1009	C₂²×C₄	—	4	2	no	—
1010	C₂²×C₄	—	4	4	no	—
1011	C₂²×C₄	—	4	4	no	—
1012	C₂²×C₄	—	4	4	no	—
1013	C₂²×C₄	—	4	4	no	—
1014	C₂²×C₄	—	8	16	no	—
1015	C₂²×C₄	C₂⁵	1	2	yes	—
1016	C₂²×C₄	C₂⁵	1	4	yes	—
1017	C₂²×C₄	C₂⁵	1	2	yes	—
1018	C₂²×C₄	C₂⁵	1	2	yes	—
1019	C₂²×C₄	C₂⁵	1	4	yes	—
1020	C₂²×C₄	C₂⁵	1	2	yes	—
1021	C₂²×C₄	C₂⁵	1	4	yes	—
1022	C₂²×C₄	C₂⁵	1	4	yes	—
1023	C₂²×C₄	C₂⁵	1	4	yes	—
1024	C₂²×C₄	C₂⁵	1	4	yes	—
1025	C₂²×C₄	C₂⁵	1	2	yes	—
1026	C₂²×C₄	C₂⁵	1	4	yes	—
1027	C₂²×C₄	C₂⁵	1	4	yes	—
1028	C₂²×C₄	C₂⁵	1	2	yes	—
1029	C₂²×C₄	C₂⁵	1	2	yes	—
1030	C₂²×C₄	C₂⁵	1	4	yes	—
1031	C₄⋊C₄	—	4	2	no	—
1032	C₄⋊C₄	—	4	2	no	—
1033	C₄⋊C₄	—	4	2	no	—
1034	C₄⋊C₄	—	4	2	no	—
1035	C₄⋊C₄	—	4	4	no	—
1036	C₄⋊C₄	—	4	4	no	—
1037	C₄⋊C₄	—	4	4	no	—
1038	C₄⋊C₄	—	4	4	no	—
1039	C₄⋊C₄	—	4	4	no	—
1040	C₄⋊C₄	—	4	4	no	—
1041	C₄⋊C₄	—	4	4	no	—
1042	C₄⋊C₄	—	4	2	no	—
1043	C₄⋊C₄	—	4	4	no	—
1044	C₄⋊C₄	—	4	4	no	—
1045	C₄⋊C₄	—	4	2	no	—
1046	C₄⋊C₄	—	4	4	no	—
1047	C₄⋊C₄	—	4	4	no	—
1048	C₄⋊C₄	—	4	4	no	—
1049	C₄⋊C₄	—	4	4	no	—
1050	C₄⋊C₄	—	4	4	no	—
1051	C₄⋊C₄	—	4	4	no	—
1052	C₄⋊C₄	—	4	4	no	—
1053	C₄⋊C₄	—	4	4	no	—
1054	C₄⋊C₄	—	4	4	no	—
1055	C₄⋊C₄	—	4	4	no	—
1056	C₄⋊C₄	—	4	4	no	—
1057	C₄⋊C₄	—	4	4	no	—
1058	C₄⋊C₄	—	4	4	no	—
1059	C₄⋊C₄	—	4	4	no	—
1060	C₄⋊C₄	—	4	4	no	—
1061	C₄⋊C₄	—	4	4	no	—
1062	C₂²⋊C₄	—	2	8	no	—
1063	C₂²⋊C₄	—	2	4	no	—
1064	C₂²⋊C₄	—	2	8	no	—
1065	C₂²⋊C₄	—	2	8	no	—
1066	C₂²⋊C₄	—	2	8	no	—
1067	C₂²⋊C₄	—	2	4	no	—
1068	C₂²⋊C₄	—	2	8	no	—
1069	C₂²⋊C₄	—	2	8	no	—
1070	C₂²⋊C₄	—	4	1	no	—
1071	C₂²⋊C₄	—	4	2	no	—
1072	C₂²⋊C₄	—	4	2	no	—
1073	C₂²⋊C₄	—	4	2	no	—
1074	C₂²⋊C₄	—	4	1	no	—
1075	C₂²⋊C₄	—	4	1	no	—
1076	C₂²⋊C₄	—	4	2	no	—
1077	C₂²⋊C₄	—	4	2	no	—
1078	C₂²⋊C₄	—	4	2	no	—
1079	C₂²⋊C₄	—	4	1	no	—
1080	C₂²⋊C₄	—	4	1	no	—
1081	C₂²⋊C₄	—	4	2	no	—
1082	C₂²⋊C₄	—	4	2	no	—
1083	C₂²⋊C₄	—	4	1	no	—
1084	C₂²⋊C₄	—	4	2	no	—
1085	C₂²⋊C₄	—	4	4	no	—
1086	C₂²⋊C₄	—	4	4	no	—
1087	C₂²⋊C₄	—	4	4	no	—
1088	C₂²⋊C₄	—	4	4	no	—
1089	C₂²⋊C₄	—	4	4	no	—
1090	C₂²⋊C₄	—	4	4	no	—
1091	C₂²⋊C₄	—	4	4	no	—
1092	C₂²⋊C₄	—	4	4	no	—
1093	C₂²⋊C₄	—	4	4	no	—
1094	C₂²⋊C₄	—	4	4	no	—
1095	C₂²⋊C₄	—	4	4	no	—
1096	C₂²⋊C₄	—	4	4	no	—
1097	C₂²⋊C₄	—	4	4	no	—
1098	C₂²⋊C₄	—	4	4	no	—
1099	C₂²⋊C₄	—	4	4	no	—
1100	C₂²⋊C₄	—	4	4	no	—
1101	C₂²⋊C₄	—	4	4	no	—
1102	C₂²⋊C₄	—	4	4	no	—
1103	C₂²⋊C₄	—	4	4	no	—
1104	C₂²⋊C₄	—	4	4	no	—
1105	C₂²⋊C₄	—	4	4	no	—
1106	C₂²⋊C₄	—	4	2	no	—
1107	C₂²⋊C₄	—	4	2	no	—
1108	C₂²⋊C₄	—	4	4	no	—
1109	C₂²⋊C₄	—	4	4	no	—
1110	C₂²⋊C₄	—	4	4	no	—
1111	C₂²⋊C₄	—	4	4	no	—
1112	C₂²⋊C₄	—	4	4	no	—
1113	C₂²⋊C₄	—	4	4	no	—
1114	C₂²⋊C₄	—	4	4	no	—
1115	C₂²⋊C₄	—	4	4	no	—
1116	C₂²⋊C₄	—	4	4	no	—
1117	C₂²⋊C₄	—	4	4	no	—
1118	C₂²⋊C₄	—	4	4	no	—
1119	C₂²⋊C₄	—	4	4	no	—
1120	C₂²⋊C₄	—	4	4	no	—
1121	C₂²⋊C₄	—	4	4	no	—
1122	C₂²⋊C₄	—	4	4	no	—
1123	C₂²⋊C₄	—	4	4	no	—
1124	C₂²⋊C₄	—	4	4	no	—
1125	C₂²⋊C₄	—	4	4	no	—
1126	C₂²⋊C₄	—	4	4	no	—
1127	C₂²⋊C₄	—	4	4	no	—
1128	C₂²⋊C₄	—	4	4	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	4	no	—
1131	C₂²⋊C₄	—	4	4	no	—
1132	C₂²⋊C₄	—	4	4	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₄²	—	4	4	no	—
1136	C₄²	—	4	4	no	—
1137	C₄²	—	4	4	no	—
1138	C₄²	—	4	4	no	—
1139	C₄²	—	4	4	no	—
1140	C₄²	—	4	4	no	—
1141	C₄²	—	4	2	no	—
1142	C₄²	—	4	4	no	—
1143	C₄²	—	4	2	no	—
1144	C₄²	—	4	4	no	—
1145	C₂³	—	2	8	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	4	no	—
1155	C₂³	—	2	4	no	—
1156	C₂³	—	2	4	no	—
1157	C₂³	—	2	4	no	—
1158	C₂³	—	2	4	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	4	no	—
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	—	2	4	no	—
1164	C₂³	—	2	2	no	—
1165	C₂³	—	2	2	no	—
1166	C₂³	—	2	4	no	—
1167	C₂³	—	2	2	no	—
1168	C₂³	—	2	4	no	—
1169	C₂³	—	2	4	no	—
1170	C₂³	—	2	4	no	—
1171	C₂³	—	2	4	no	—
1172	C₂³	—	2	4	no	—
1173	C₂³	—	2	4	no	—
1174	C₂³	—	2	4	no	—
1175	C₂³	—	2	4	no	—
1176	C₂³	—	4	8	no	—
1177	C₂³	—	4	4	no	—
1178	C₂³	—	4	8	no	—
1179	C₂³	—	4	8	no	—
1180	C₂³	—	4	8	no	—
1181	C₂³	—	4	4	no	—
1182	C₂³	—	4	8	no	—
1183	C₂³	—	4	8	no	—
1184	C₂³	—	4	8	no	—
1185	C₂³	—	8	4	no	—
1186	C₂³	—	8	8	no	—
1187	C₂³	—	8	4	no	—
1188	C₂³	—	8	8	no	—
1189	C₂³	—	8	4	no	—
1190	C₂³	—	8	4	no	—
1191	C₂³	—	8	4	no	—
1192	C₂³	—	8	4	no	—
1193	C₂³	—	8	4	no	—
1194	C₂³	—	8	2	no	—
1195	C₂³	—	8	8	no	—
1196	C₂³	—	8	4	no	—
1197	C₂³	—	8	8	no	—
1198	C₂³	—	8	4	no	—
1199	C₂³	—	8	4	no	—
1200	C₂³	—	8	4	no	—
1201	C₂³	—	8	8	no	—
1202	C₂³	—	8	64	no	—
1203	C₂³	—	16	2	no	—
1204	C₂³	—	16	2	no	—
1205	C₂³	—	16	2	no	—
1206	C₂³	—	16	4	no	—
1207	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1208	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1209	C₂³	#585	1	2	yes	—
1210	C₂³	#585	1	2	yes	—
1211	C₂³	C₂⁶	1	1	yes	characteristic
1212	Q₈	—	8	4	no	—
1213	Q₈	—	16	2	no	—
1214	Q₈	—	16	4	no	—
1215	D₄	—	8	8	no	—
1216	D₄	—	8	8	no	—
1217	D₄	—	8	8	no	—
1218	D₄	—	8	8	no	—
1219	D₄	—	8	4	no	—
1220	D₄	—	8	4	no	—
1221	D₄	—	8	8	no	—
1222	D₄	—	8	8	no	—
1223	D₄	—	8	8	no	—
1224	D₄	—	8	8	no	—
1225	D₄	—	8	4	no	—
1226	D₄	—	16	2	no	—
1227	D₄	—	16	4	no	—
1228	D₄	—	16	4	no	—
1229	C₂×C₄	—	2	4	no	—
1230	C₂×C₄	—	2	4	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	2	no	—
1233	C₂×C₄	—	2	4	no	—
1234	C₂×C₄	—	2	4	no	—
1235	C₂×C₄	—	2	2	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	4	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	4	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	4	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	4	no	—
1253	C₂×C₄	—	2	4	no	—
1254	C₂×C₄	—	2	4	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	4	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	4	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	4	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	4	no	—
1267	C₂×C₄	—	2	4	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	4	no	—
1271	C₂×C₄	—	4	8	no	—
1272	C₂×C₄	—	4	8	no	—
1273	C₂×C₄	—	4	8	no	—
1274	C₂×C₄	—	8	4	no	—
1275	C₂×C₄	—	8	4	no	—
1276	C₂×C₄	—	8	4	no	—
1277	C₂×C₄	—	8	4	no	—
1278	C₂×C₄	—	8	4	no	—
1279	C₂×C₄	—	8	2	no	—
1280	C₂×C₄	—	8	4	no	—
1281	C₂×C₄	—	8	8	no	—
1282	C₂×C₄	—	16	2	no	—
1283	C₂×C₄	—	16	4	no	—
1284	C₂²	—	2	4	no	—
1285	C₂²	—	2	4	no	—
1286	C₂²	—	2	2	no	—
1287	C₂²	—	2	2	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	4	no	—
1290	C₂²	—	2	4	no	—
1291	C₂²	—	2	4	no	—
1292	C₂²	—	2	4	no	—
1293	C₂²	—	4	16	no	—
1294	C₂²	—	4	2	no	—
1295	C₂²	—	4	4	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	4	2	no	—
1298	C₂²	—	4	2	no	—
1299	C₂²	—	4	4	no	—
1300	C₂²	—	4	2	no	—
1301	C₂²	—	4	2	no	—
1302	C₂²	—	4	4	no	—
1303	C₂²	—	4	4	no	—
1304	C₂²	—	4	4	no	—
1305	C₂²	—	4	4	no	—
1306	C₂²	—	4	2	no	—
1307	C₂²	—	4	4	no	—
1308	C₂²	—	4	2	no	—
1309	C₂²	—	4	4	no	—
1310	C₂²	—	4	4	no	—
1311	C₂²	—	4	2	no	—
1312	C₂²	—	4	4	no	—
1313	C₂²	—	4	2	no	—
1314	C₂²	—	4	4	no	—
1315	C₂²	—	4	2	no	—
1316	C₂²	—	4	4	no	—
1317	C₂²	—	4	4	no	—
1318	C₂²	—	4	2	no	—
1319	C₂²	—	8	8	no	—
1320	C₂²	—	8	16	no	—
1321	C₂²	—	8	16	no	—
1322	C₂²	—	8	8	no	—
1323	C₂²	—	16	4	no	—
1324	C₂²	—	16	8	no	—
1325	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1326	C₂²	C₂×#585	1	1	yes	characteristic
1327	C₂²	C₂×#585	1	1	yes	characteristic
1328	C₂²	H(7,𝔽₂)	1	4	yes	—
1329	C₄	—	4	2	no	—
1330	C₄	—	4	2	no	—
1331	C₄	—	4	4	no	—
1332	C₄	—	4	4	no	—
1333	C₄	—	4	4	no	—
1334	C₄	—	4	4	no	—
1335	C₄	—	4	4	no	—
1336	C₄	—	4	2	no	—
1337	C₄	—	4	4	no	—
1338	C₄	—	4	2	no	—
1339	C₄	—	4	2	no	—
1340	C₄	—	4	2	no	—
1341	C₄	—	4	2	no	—
1342	C₄	—	4	4	no	—
1343	C₄	—	4	4	no	—
1344	C₄	—	4	4	no	—
1345	C₂	—	4	2	no	—
1346	C₂	—	4	4	no	—
1347	C₂	—	4	2	no	—
1348	C₂	—	4	2	no	—
1349	C₂	—	8	2	no	—
1350	C₂	—	8	4	no	—
1351	C₂	—	8	2	no	—
1352	C₂	#62820	1	1	yes	characteristic
1353	C₂	#62862	1	2	yes	—
1354	C₂	#63042	1	2	yes	—
1355	C₂	#63046	1	2	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. #57993	C₂	semidirect
2. #57596	C₂	semidirect
3. #57147	C₂	semidirect
4. #56658	C₂	semidirect
5. #56344	C₂	semidirect
6. #53924	C₂	semidirect
7. #53912	C₂	semidirect
8. #53426	C₂	semidirect
9. #51155	C₂	semidirect
10. #48796	C₂	semidirect
11. #48392	C₂	semidirect
12. #48113	C₂	semidirect
13. #47384	C₂	semidirect
14. #47169	C₂	semidirect
15. #47035	C₂	semidirect
16. #46858	C₂	semidirect
17. #46387	C₂	semidirect
18. #45459	C₂	semidirect
19. #45457	C₂	semidirect
20. #45442	C₂	semidirect
21. #45439	C₂	semidirect
22. #35050	C₂	semidirect
23. #34992	C₂	semidirect
24. C₂×H(3,𝔽₄)	C₂²	semidirect
25. C₂×#525	C₂²	semidirect
27. C₂³×C₂²⋊C₄	C₂²	semidirect
28. #2849	C₂²	semidirect
29. #2849	C₂²	semidirect
30. #2846	C₂²	semidirect
31. #2842	C₂²	semidirect
32. #2842	C₂²	semidirect
33. #2830	C₂²	semidirect
34. #2830	C₂²	semidirect
35. #2829	C₂²	semidirect
36. #2829	C₂²	semidirect
37. #2824	C₂²	semidirect
38. #2824	C₂²	semidirect
39. #2820	C₂²	semidirect
40. #2817	C₂²	semidirect
42. #2812	C₂²	semidirect
43. #2808	C₂²	semidirect
44. #2803	C₂²	semidirect
45. #2800	C₂²	semidirect
46. #2786	C₂²	semidirect
47. #2783	C₂²	semidirect
48. #2778	C₂²	semidirect
49. #2765	C₂²	semidirect
50. #2761	C₂²	semidirect
51. #2759	C₂²	semidirect
52. #2753	C₂²	semidirect
53. #2753	C₂²	semidirect
54. #2752	C₂²	semidirect
55. #2752	C₂²	semidirect
56. #2751	C₂²	semidirect
57. #2750	C₂²	semidirect
58. #2749	C₂²	semidirect
59. #2749	C₂²	semidirect
60. #2749	C₂²	semidirect
61. #2748	C₂²	semidirect
62. #2746	C₂²	semidirect
63. #2744	C₂²	semidirect
64. #2742	C₂²	semidirect
65. #2741	C₂²	semidirect
66. #2740	C₂²	semidirect
67. #2738	C₂²	semidirect
68. #2736	C₂²	semidirect
69. #2735	C₂²	semidirect
70. #2735	C₂²	semidirect
71. #2735	C₂²	semidirect
72. #2735	C₂²	semidirect
73. #2732	C₂²	semidirect
74. #2731	C₂²	semidirect
75. #2723	C₂²	semidirect
76. #2723	C₂²	semidirect
77. #2717	C₂²	semidirect
78. #2716	C₂²	semidirect
79. #2710	C₂²	semidirect
80. #2710	C₂²	semidirect
81. #2707	C₂²	semidirect
82. #2707	C₂²	semidirect
83. #2706	C₂²	semidirect
84. #2705	C₂²	semidirect
85. #2700	C₂²	semidirect
86. #2700	C₂²	semidirect
87. #2697	C₂²	semidirect
88. #2697	C₂²	semidirect
89. #2694	C₂²	semidirect
90. #2693	C₂²	semidirect
91. #2693	C₂²	semidirect
92. #2691	C₂²	semidirect
93. #2687	C₂²	semidirect
94. #2687	C₂²	semidirect
95. #2686	C₂²	semidirect
96. #2686	C₂²	semidirect
97. #2685	C₂²	semidirect
98. #2685	C₂²	semidirect
99. #2685	C₂²	semidirect
100. #2684	C₂²	semidirect
101. #2684	C₂²	semidirect
102. #2684	C₂²	semidirect
103. #2679	C₂²	semidirect
104. #2679	C₂²	semidirect
106. #2678	C₂²	semidirect
107. #2678	C₂²	semidirect
108. #2678	C₂²	semidirect
109. #2678	C₂²	semidirect
110. #2677	C₂²	semidirect
111. #2674	C₂²	semidirect
112. #2674	C₂²	semidirect
116. #2668	C₂²	semidirect
117. #2665	C₂²	semidirect
118. #2653	C₂²	semidirect
119. #2651	C₂²	semidirect
120. #2650	C₂²	semidirect
121. #2630	C₂²	semidirect
122. #2626	C₂²	semidirect
123. #2626	C₂²	semidirect
124. #2624	C₂²	semidirect
125. #2622	C₂²	semidirect
127. #2617	C₂²	semidirect
128. #2617	C₂²	semidirect
129. #2609	C₂²	semidirect
130. #2607	C₂²	semidirect
131. #2601	C₂²	semidirect
132. #2601	C₂²	semidirect
133. #2597	C₂²	semidirect
134. #2576	C₂²	semidirect
135. #2576	C₂²	semidirect
136. #2575	C₂²	semidirect
137. #2563	C₂²	semidirect
138. #2561	C₂²	semidirect
139. #2561	C₂²	semidirect
140. #2556	C₂²	semidirect
141. #2554	C₂²	semidirect
142. #2553	C₂²	semidirect
145. #2539	C₂²	semidirect
146. #2534	C₂²	semidirect
147. #2534	C₂²	semidirect
148. #2534	C₂²	semidirect
149. #2517	C₂²	semidirect
150. #2516	C₂²	semidirect
151. #2516	C₂²	semidirect
152. #2515	C₂²	semidirect
153. #2513	C₂²	semidirect
154. #2490	C₂²	semidirect
155. #2483	C₂²	semidirect
156. #2483	C₂²	semidirect
157. #2482	C₂²	semidirect
158. #2482	C₂²	semidirect
159. #2482	C₂²	semidirect
160. #2480	C₂²	semidirect
161. #2475	C₂²	semidirect
162. #2474	C₂²	semidirect
163. #2474	C₂²	semidirect
164. #2474	C₂²	semidirect
165. #2474	C₂²	semidirect
166. #2472	C₂²	semidirect
167. #2472	C₂²	semidirect
168. #2472	C₂²	semidirect
169. #2472	C₂²	semidirect
170. #2471	C₂²	semidirect
171. #2471	C₂²	semidirect
172. #2471	C₂²	semidirect
173. #2470	C₂²	semidirect
174. #2467	C₂²	semidirect
175. #2461	C₂²	semidirect
176. #2461	C₂²	semidirect
177. #2459	C₂²	semidirect
178. #2459	C₂²	semidirect
179. #2447	C₂²	semidirect
180. #2447	C₂²	semidirect
183. #2432	C₂²	semidirect
184. #2424	C₂²	semidirect
185. #2418	C₂²	semidirect
186. #2418	C₂²	semidirect
187. #2418	C₂²	semidirect
188. #2412	C₂²	semidirect
189. #2412	C₂²	semidirect
190. #2411	C₂²	semidirect
191. #2411	C₂²	semidirect
192. #2411	C₂²	semidirect
195. #2405	C₂²	semidirect
197. #2404	C₂²	semidirect
198. #2404	C₂²	semidirect
201. #2403	C₂²	semidirect
202. #2379	C₂²	semidirect
203. #2377	C₂²	semidirect
204. #2375	C₂²	semidirect
205. #2375	C₂²	semidirect
206. #2358	C₂²	semidirect
207. #2347	C₂²	semidirect
208. #2335	C₂²	semidirect
209. #2332	C₂²	semidirect
210. #2321	C₂²	semidirect
211. #2321	C₂²	semidirect
212. #2315	C₂²	semidirect
213. #2315	C₂²	semidirect
214. #2309	C₂²	semidirect
217. #2280	C₂²	semidirect
218. C₂×#379	C₂²	semidirect
226. C₂×C₄⋊Q₈	C₂³	semidirect
228. C₂×#126	C₂³	semidirect
229. C₂×#125	C₂³	semidirect
245. C₂×#123	C₂³	semidirect
250. C₂×C₂²⋊Q₈	C₂³	semidirect
270. C₂×#120	C₂³	semidirect
277. C₂×#117	C₂³	semidirect
291. C₂²×C₂²⋊C₄	C₂³	semidirect
292. #401	C₂³	semidirect
293. #400	C₂³	semidirect
294. #400	C₂³	semidirect
295. #400	C₂³	semidirect
296. #400	C₂³	semidirect
297. #400	C₂³	semidirect
298. #400	C₂³	semidirect
308. #399	C₂³	semidirect
309. #399	C₂³	semidirect
310. #399	C₂³	semidirect
311. #398	C₂³	semidirect
312. #398	C₂³	semidirect
313. #398	C₂³	semidirect
314. #398	C₂³	semidirect
315. #398	C₂³	semidirect
316. #398	C₂³	semidirect
334. #397	C₂³	semidirect
335. #397	C₂³	semidirect
336. #397	C₂³	semidirect
337. #397	C₂³	semidirect
338. #397	C₂³	semidirect
339. #397	C₂³	semidirect
340. #397	C₂³	semidirect
341. #397	C₂³	semidirect
342. #397	C₂³	semidirect
343. #397	C₂³	semidirect
344. #397	C₂³	semidirect
345. #397	C₂³	semidirect
356. #396	C₂³	semidirect
357. #396	C₂³	semidirect
358. #396	C₂³	semidirect
359. #396	C₂³	semidirect
360. #396	C₂³	semidirect
361. #396	C₂³	semidirect
362. #396	C₂³	semidirect
363. #395	C₂³	semidirect
364. #395	C₂³	semidirect
365. #395	C₂³	semidirect
366. #395	C₂³	semidirect
395. #394	C₂³	semidirect
396. #394	C₂³	semidirect
397. #394	C₂³	semidirect
398. #394	C₂³	semidirect
399. #394	C₂³	semidirect
407. #393	C₂³	semidirect
408. #393	C₂³	semidirect
409. #393	C₂³	semidirect
410. #393	C₂³	semidirect
424. #391	C₂³	semidirect
425. #391	C₂³	semidirect
426. #391	C₂³	semidirect
427. #391	C₂³	semidirect
428. #391	C₂³	semidirect
445. #390	C₂³	semidirect
446. #390	C₂³	semidirect
447. #390	C₂³	semidirect
448. #389	C₂³	semidirect
449. #389	C₂³	semidirect
450. #389	C₂³	semidirect
451. #389	C₂³	semidirect
452. #389	C₂³	semidirect
479. #388	C₂³	semidirect
480. #388	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	C₂³	semidirect
486. #388	C₂³	semidirect
487. #388	C₂³	semidirect
488. #388	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. #387	C₂³	semidirect
497. #387	C₂³	semidirect
498. #387	C₂³	semidirect
499. #387	C₂³	semidirect
500. #387	C₂³	semidirect
501. #387	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
509. #387	C₂³	semidirect
510. #387	C₂³	semidirect
511. #387	C₂³	semidirect
512. #387	C₂³	semidirect
540. #386	C₂³	semidirect
541. #386	C₂³	semidirect
542. #386	C₂³	semidirect
543. #386	C₂³	semidirect
558. #385	C₂³	semidirect
559. #385	C₂³	semidirect
560. #385	C₂³	semidirect
561. #385	C₂³	semidirect
562. #385	C₂³	semidirect
563. #383	C₂³	semidirect
564. #382	C₂³	semidirect
565. #382	C₂³	semidirect
566. #382	C₂³	semidirect
577. #381	C₂³	semidirect
585. #380	C₂³	semidirect
586. #380	C₂³	semidirect
587. #380	C₂³	semidirect
604. #379	C₂³	semidirect
605. #379	C₂³	semidirect
606. C₄×C₄⋊C₄	C₂³	semidirect
607. C₄×C₄⋊C₄	C₂³	semidirect
608. C₄×C₄⋊C₄	C₂³	semidirect
609. C₄×C₄⋊C₄	C₂³	semidirect
616. C₄×C₂²⋊C₄	C₂³	semidirect
617. C₄×C₂²⋊C₄	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#57993	2
#57596	2
#57147	2
#56658	2
#56344	2
#53924	2
#53912	2
#53426	2
#51155	2
#48796	2
#48392	2
#48113	2
#47384	2
#47169	2
#47035	2
#46858	2
#46387	2
#45459	2
#45457	2
#45442	2
#45439	2
#35050	2
#34992	2