Subgroups — #8094440

Order 512.

7021 conjugacy classes of subgroups.

The subgroup lattice has 1306 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#53116	C₂	1	4	yes	maximal, complemented
2	#53015	C₂	1	2	yes	maximal, complemented
3	#52990	C₂	1	2	yes	maximal, complemented
4	#52986	C₂	1	2	yes	maximal, complemented
5	#52967	C₂	1	2	yes	maximal, complemented
6	#52967	C₂	1	4	yes	maximal, complemented
7	#52367	C₂	1	4	yes	maximal, complemented
8	#52310	C₂	1	4	yes	maximal, complemented
9	#46073	C₂	1	2	yes	maximal, complemented
10	#46054	C₂	1	4	yes	maximal, complemented
11	#45996	C₂	1	2	yes	maximal, complemented
12	#45645	C₂	1	4	yes	maximal, complemented
13	#45645	C₂	1	2	yes	maximal, complemented
14	#45479	C₂	1	2	yes	maximal, complemented
15	#45458	C₂	1	4	yes	maximal, complemented
16	#45439	C₂	1	4	yes	maximal, complemented
17	#35584	C₂	1	2	yes	maximal, complemented
18	#35556	C₂	1	2	yes	maximal, complemented
19	#35542	C₂	1	2	yes	maximal, complemented
20	#35264	C₂	1	2	yes	maximal, complemented
21	#35250	C₂	1	2	yes	maximal, complemented
22	#35222	C₂	1	2	yes	maximal, complemented
23	#34946	C₂	1	1	yes	maximal, characteristic, complemented
24	#34736	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2408	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂³×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂⁴×D₄	C₂²	1	1	yes	characteristic, complemented
28	C₂×H(3,𝔽₄)	C₂²	1	4	yes	complemented
29	C₂×#544	C₂²	1	2	yes	complemented
30	C₂×#535	C₂²	1	2	yes	—
31	C₂×#535	C₂²	1	2	yes	—
32	C₂×#533	C₂²	1	1	yes	characteristic, complemented
33	C₂×#525	C₂²	1	2	yes	—
34	C₂²×#121	C₂²	1	2	yes	—
35	C₂²×#120	C₂²	1	2	yes	—
36	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
37	#2861	C₂²	1	4	yes	complemented
38	#2858	C₂²	1	4	yes	complemented
39	#2847	C₂²	1	4	yes	complemented
40	#2847	C₂²	1	4	yes	complemented
41	#2846	C₂²	1	8	yes	complemented
42	#2840	C₂²	1	4	yes	complemented
43	#2832	C₂²	1	4	yes	complemented
44	#2832	C₂²	1	8	yes	complemented
45	#2828	C₂²	1	8	yes	complemented
46	#2828	C₂²	1	8	yes	complemented
47	#2828	C₂²	1	8	yes	complemented
48	#2824	C₂²	1	4	yes	complemented
49	#2824	C₂²	1	8	yes	complemented
50	#2819	C₂²	1	8	yes	complemented
51	#2819	C₂²	1	4	yes	complemented
52	#2812	C₂²	1	8	yes	complemented
53	#2812	C₂²	1	4	yes	complemented
54	#2812	C₂²	1	4	yes	complemented
55	#2785	C₂²	1	4	yes	complemented
56	#2753	C₂²	1	8	yes	complemented
57	#2753	C₂²	1	8	yes	complemented
58	#2753	C₂²	1	8	yes	complemented
59	#2736	C₂²	1	8	yes	complemented
60	#2736	C₂²	1	4	yes	complemented
61	#2733	C₂²	1	8	yes	complemented
62	#2733	C₂²	1	4	yes	complemented
63	#2712	C₂²	1	4	yes	complemented
64	#2712	C₂²	1	8	yes	complemented
65	#2684	C₂²	1	8	yes	complemented
66	#2684	C₂²	1	4	yes	complemented
67	#2684	C₂²	1	8	yes	complemented
68	#2684	C₂²	1	8	yes	complemented
69	#2684	C₂²	1	8	yes	complemented
70	#2679	C₂²	1	4	yes	complemented
71	#2679	C₂²	1	8	yes	complemented
72	#2670	C₂²	1	8	yes	complemented
73	#2670	C₂²	1	8	yes	complemented
74	#2670	C₂²	1	8	yes	complemented
75	#2670	C₂²	1	8	yes	complemented
76	#2670	C₂²	1	4	yes	complemented
77	#2670	C₂²	1	8	yes	complemented
78	#2670	C₂²	1	4	yes	complemented
79	#2641	C₂²	1	4	yes	complemented
80	#2640	C₂²	1	4	yes	complemented
81	#2615	C₂²	1	4	yes	complemented
82	#2615	C₂²	1	4	yes	complemented
83	#2613	C₂²	1	8	yes	complemented
84	#2592	C₂²	1	4	yes	complemented
85	#2592	C₂²	1	4	yes	complemented
86	#2563	C₂²	1	1	yes	characteristic, complemented
87	#2563	C₂²	1	4	yes	complemented
88	#2563	C₂²	1	1	yes	characteristic, complemented
89	#2562	C₂²	1	2	yes	complemented
90	#2562	C₂²	1	4	yes	complemented
91	#2562	C₂²	1	4	yes	complemented
92	#2562	C₂²	1	2	yes	complemented
93	#2561	C₂²	1	2	yes	complemented
94	#2561	C₂²	1	8	yes	complemented
95	#2561	C₂²	1	2	yes	complemented
96	#2548	C₂²	1	4	yes	complemented
97	#2548	C₂²	1	4	yes	complemented
98	#2547	C₂²	1	1	yes	characteristic, complemented
99	#2547	C₂²	1	1	yes	characteristic, complemented
100	#2547	C₂²	1	4	yes	complemented
101	#2503	C₂²	1	2	yes	complemented
102	#2492	C₂²	1	4	yes	complemented
103	#2491	C₂²	1	4	yes	complemented
104	#2491	C₂²	1	4	yes	complemented
105	#2491	C₂²	1	4	yes	complemented
106	#2491	C₂²	1	4	yes	complemented
107	#2491	C₂²	1	4	yes	complemented
108	#2491	C₂²	1	4	yes	complemented
109	#2491	C₂²	1	4	yes	complemented
110	#2491	C₂²	1	4	yes	complemented
111	#2491	C₂²	1	4	yes	complemented
112	#2490	C₂²	1	4	yes	complemented
113	#2490	C₂²	1	4	yes	complemented
114	#2490	C₂²	1	4	yes	complemented
115	#2490	C₂²	1	4	yes	complemented
116	#2490	C₂²	1	4	yes	complemented
117	#2490	C₂²	1	4	yes	complemented
118	#2490	C₂²	1	4	yes	complemented
119	#2490	C₂²	1	4	yes	complemented
120	#2490	C₂²	1	4	yes	complemented
121	#2489	C₂²	1	4	yes	complemented
122	#2488	C₂²	1	8	yes	complemented
123	#2472	C₂²	1	8	yes	complemented
124	#2472	C₂²	1	8	yes	complemented
125	#2472	C₂²	1	8	yes	complemented
126	#2472	C₂²	1	8	yes	complemented
127	#2472	C₂²	1	8	yes	complemented
128	#2436	C₂²	1	4	yes	complemented
129	#2435	C₂²	1	2	yes	—
130	#2435	C₂²	1	4	yes	complemented
131	#2435	C₂²	1	4	yes	complemented
132	#2435	C₂²	1	8	yes	complemented
133	#2433	C₂²	1	4	yes	complemented
134	#2433	C₂²	1	4	yes	complemented
135	#2433	C₂²	1	4	yes	complemented
136	#2431	C₂²	1	4	yes	complemented
137	#2431	C₂²	1	4	yes	complemented
138	#2409	C₂²	1	1	yes	characteristic, complemented
139	#2409	C₂²	1	1	yes	characteristic, complemented
140	#2408	C₂²	1	2	yes	—
141	#2408	C₂²	1	2	yes	—
142	#2408	C₂²	1	2	yes	—
143	#2408	C₂²	1	2	yes	—
144	#2408	C₂²	1	4	yes	complemented
145	#2408	C₂²	1	2	yes	complemented
146	#2408	C₂²	1	4	yes	complemented
147	#2408	C₂²	1	4	yes	complemented
148	#2408	C₂²	1	2	yes	complemented
149	#2408	C₂²	1	2	yes	complemented
150	#2408	C₂²	1	2	yes	complemented
151	#2408	C₂²	1	4	yes	complemented
152	#2408	C₂²	1	1	yes	characteristic, complemented
153	#2408	C₂²	1	1	yes	characteristic, complemented
154	#2407	C₂²	1	2	yes	complemented
155	#2407	C₂²	1	2	yes	complemented
156	#2406	C₂²	1	2	yes	complemented
157	#2405	C₂²	1	2	yes	complemented
158	#2404	C₂²	1	2	yes	—
159	#2404	C₂²	1	8	yes	complemented
160	#2403	C₂²	1	2	yes	—
161	#2403	C₂²	1	8	yes	complemented
162	#2398	C₂²	1	2	yes	complemented
163	#2398	C₂²	1	2	yes	complemented
164	#2388	C₂²	1	2	yes	complemented
165	#2388	C₂²	1	2	yes	complemented
166	C₂×#394	C₂²	1	2	yes	complemented
167	C₂×#392	C₂²	1	2	yes	—
168	#2375	C₂²	1	4	yes	complemented
169	#2375	C₂²	1	8	yes	complemented
170	#2311	C₂²	1	2	yes	complemented
171	#2311	C₂²	1	2	yes	complemented
172	#2309	C₂²	1	2	yes	complemented
173	#2309	C₂²	1	2	yes	complemented
174	C₄×#124	C₂²	1	2	yes	complemented
175	C₄×#124	C₂²	1	2	yes	complemented
176	C₄×#120	C₂²	1	2	yes	complemented
177	C₄×#120	C₂²	1	2	yes	complemented
178	#2297	C₂²	1	2	yes	complemented
179	C₂×#390	C₂²	1	2	yes	complemented
180	#2280	C₂²	1	2	yes	complemented
181	#2280	C₂²	1	1	yes	characteristic, complemented
182	#2280	C₂²	1	2	yes	complemented
183	C₂×#380	C₂²	1	1	yes	characteristic, complemented
184	C₂×#379	C₂²	1	2	yes	complemented
185	#2274	C₂²	1	2	yes	complemented
186	C₄×#117	C₂²	1	1	yes	characteristic, complemented
187	C₂⁶	C₂³	1	2	yes	—
188	C₂²×#41	—	4	4	no	—
189	C₂²×#41	—	4	8	no	—
190	C₂²×#41	C₂³	1	2	yes	—
191	C₂²×#41	C₂³	1	2	yes	—
192	C₂²×#41	C₂³	1	2	yes	complemented
193	C₂²×#41	C₂³	1	2	yes	complemented
194	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
195	C₂³×D₄	—	4	4	no	—
196	C₂³×D₄	—	4	8	no	—
197	C₂³×D₄	C₂³	1	2	yes	—
198	C₂³×D₄	C₂³	1	1	yes	characteristic
199	C₂³×D₄	C₂³	1	2	yes	—
200	C₂³×D₄	C₂³	1	2	yes	—
201	C₂³×D₄	C₂³	1	2	yes	—
202	C₂³×D₄	C₂³	1	2	yes	—
203	C₂³×D₄	C₂³	1	2	yes	—
204	C₂³×D₄	C₂³	1	2	yes	—
205	C₂³×D₄	C₂³	1	4	yes	—
206	C₂³×D₄	C₂³	1	1	yes	characteristic, complemented
207	C₂⁴×C₄	C₂³	1	1	yes	characteristic
208	C₂⁴×C₄	C₂³	1	1	yes	characteristic
209	C₂⁴×C₄	C₂³	1	2	yes	complemented
210	H(3,𝔽₄)	—	4	16	no	—
211	#544	—	4	8	no	—
212	#535	—	4	8	no	—
213	#535	—	4	8	no	—
214	#533	—	4	4	no	—
215	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
216	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
217	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
218	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
219	C₂×#127	C₂³	1	4	yes	—
220	C₂×#127	C₂³	1	4	yes	—
221	C₂×#125	C₂³	1	2	yes	complemented
222	C₂×#125	C₂³	1	4	yes	complemented
223	C₂×#125	C₂³	1	4	yes	complemented
224	C₂×#124	C₂³	1	2	yes	—
225	C₂×#124	C₂³	1	4	yes	—
226	C₂×#124	C₂³	1	4	yes	—
227	C₂×#124	C₂³	1	2	yes	—
228	C₂×#124	C₂³	1	8	yes	—
229	C₂×#124	C₂³	1	8	yes	complemented
230	C₂×#124	C₂³	1	8	yes	complemented
231	C₂×#124	C₂³	1	8	yes	complemented
232	C₂×#124	C₂³	1	8	yes	complemented
233	C₂×#124	C₂³	1	8	yes	complemented
234	C₂×#124	C₂³	1	8	yes	complemented
235	#525	—	4	8	no	—
236	C₂×#123	C₂³	1	4	yes	—
237	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
238	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
239	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
240	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
241	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
242	C₂×#121	—	4	8	no	—
243	C₂×#121	C₂³	1	4	yes	—
244	C₂×#121	C₂³	1	4	yes	—
245	C₂×#121	C₂³	1	4	yes	—
246	C₂×#121	C₂³	1	4	yes	—
247	C₂×#121	C₂³	1	4	yes	—
248	C₂×#121	C₂³	1	4	yes	—
249	C₂×#121	C₂³	1	2	yes	—
250	C₂×#121	C₂³	1	2	yes	—
251	C₂×#121	C₂³	1	4	yes	—
252	C₂×#121	C₂³	1	4	yes	—
253	C₂×#120	—	4	8	no	—
254	C₂×#120	C₂³	1	4	yes	—
255	C₂×#120	C₂³	1	2	yes	—
256	C₂×#120	C₂³	1	4	yes	—
257	C₂×#120	C₂³	1	8	yes	—
258	C₂×#120	C₂³	1	8	yes	—
259	C₂×#120	C₂³	1	8	yes	—
260	C₂×#120	C₂³	1	8	yes	—
261	C₂×#120	C₂³	1	2	yes	—
262	C₂×#120	C₂³	1	4	yes	—
263	C₂×#120	C₂³	1	4	yes	—
264	C₂×#120	C₂³	1	4	yes	—
265	C₂×#120	C₂³	1	8	yes	—
266	C₂×#120	C₂³	1	8	yes	—
267	C₂×#120	C₂³	1	8	yes	complemented
268	C₂×#120	C₂³	1	8	yes	complemented
269	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
270	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
271	C₂×C₄×D₄	—	4	4	no	—
272	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
273	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₄	C₂³	1	4	yes	—
275	C₂×C₄×D₄	C₂³	1	4	yes	—
276	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
277	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
278	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
279	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
280	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
281	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
282	C₂×#117	C₂³	1	2	yes	—
283	C₂×#117	C₂³	1	2	yes	—
284	C₂×#117	C₂³	1	2	yes	—
285	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
286	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
289	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
293	C₂²×C₄²	C₂³	1	1	yes	characteristic
294	#400	C₂³	1	4	yes	complemented
295	#400	C₂³	1	8	yes	complemented
296	#400	C₂³	1	8	yes	complemented
297	#400	C₂³	1	4	yes	complemented
298	#397	C₂³	1	2	yes	—
299	#397	C₂³	1	2	yes	—
300	#397	C₂³	1	8	yes	—
301	#397	C₂³	1	8	yes	complemented
302	#397	C₂³	1	2	yes	complemented
303	#397	C₂³	1	8	yes	complemented
304	#397	C₂³	1	2	yes	complemented
305	#397	C₂³	1	8	yes	complemented
306	#397	C₂³	1	8	yes	complemented
307	#397	C₂³	1	8	yes	complemented
308	#397	C₂³	1	8	yes	complemented
309	#397	C₂³	1	8	yes	complemented
310	#395	C₂³	1	2	yes	complemented
311	#395	C₂³	1	2	yes	complemented
312	#394	C₂³	1	4	yes	—
313	#394	C₂³	1	4	yes	—
314	#394	C₂³	1	8	yes	—
315	#394	C₂³	1	8	yes	—
316	#394	C₂³	1	8	yes	—
317	#394	C₂³	1	4	yes	—
318	#394	C₂³	1	4	yes	—
319	#394	C₂³	1	8	yes	—
320	#394	C₂³	1	4	yes	—
321	#394	C₂³	1	8	yes	—
322	#394	C₂³	1	8	yes	—
323	#394	C₂³	1	4	yes	—
324	#394	C₂³	1	4	yes	complemented
325	#394	C₂³	1	2	yes	complemented
326	#394	C₂³	1	8	yes	complemented
327	#394	C₂³	1	8	yes	complemented
328	#394	C₂³	1	8	yes	complemented
329	#394	C₂³	1	8	yes	complemented
330	#394	C₂³	1	8	yes	complemented
331	#394	C₂³	1	8	yes	complemented
332	#394	C₂³	1	2	yes	complemented
333	#394	C₂³	1	4	yes	complemented
334	#394	C₂³	1	8	yes	complemented
335	#394	C₂³	1	8	yes	complemented
336	#394	C₂³	1	8	yes	complemented
337	#394	C₂³	1	8	yes	complemented
338	#394	C₂³	1	8	yes	complemented
339	#394	C₂³	1	8	yes	complemented
340	#393	C₂³	1	2	yes	—
341	#393	C₂³	1	2	yes	—
342	#393	C₂³	1	8	yes	—
343	#393	C₂³	1	2	yes	—
344	#393	C₂³	1	2	yes	—
345	#393	C₂³	1	2	yes	complemented
346	#393	C₂³	1	2	yes	complemented
347	#393	C₂³	1	8	yes	complemented
348	#393	C₂³	1	8	yes	complemented
349	#393	C₂³	1	8	yes	complemented
350	#393	C₂³	1	8	yes	complemented
351	#393	C₂³	1	8	yes	complemented
352	#393	C₂³	1	8	yes	complemented
353	#393	C₂³	1	8	yes	complemented
354	#393	C₂³	1	8	yes	complemented
355	#393	C₂³	1	8	yes	complemented
356	#392	C₂³	1	4	yes	—
357	#392	C₂³	1	8	yes	—
358	#392	C₂³	1	8	yes	—
359	#392	C₂³	1	4	yes	—
360	#392	C₂³	1	8	yes	—
361	#392	C₂³	1	4	yes	—
362	#392	C₂³	1	8	yes	—
363	#392	C₂³	1	4	yes	—
364	#392	C₂³	1	4	yes	—
365	#392	C₂³	1	4	yes	—
366	#392	C₂³	1	2	yes	—
367	#392	C₂³	1	2	yes	—
368	#392	C₂³	1	8	yes	complemented
369	#392	C₂³	1	8	yes	complemented
370	#392	C₂³	1	8	yes	complemented
371	#392	C₂³	1	8	yes	complemented
372	#392	C₂³	1	8	yes	complemented
373	#392	C₂³	1	8	yes	complemented
374	#391	C₂³	1	4	yes	complemented
375	#391	C₂³	1	4	yes	complemented
376	#391	C₂³	1	2	yes	complemented
377	#391	C₂³	1	8	yes	complemented
378	#391	C₂³	1	2	yes	complemented
379	#391	C₂³	1	2	yes	complemented
380	#391	C₂³	1	2	yes	complemented
381	#390	C₂³	1	2	yes	—
382	#390	C₂³	1	8	yes	—
383	#390	C₂³	1	2	yes	—
384	#390	C₂³	1	4	yes	—
385	#390	C₂³	1	4	yes	—
386	#390	C₂³	1	4	yes	—
387	#390	C₂³	1	4	yes	—
388	#390	C₂³	1	4	yes	—
389	#390	C₂³	1	4	yes	—
390	#390	C₂³	1	4	yes	—
391	#390	C₂³	1	4	yes	—
392	#390	C₂³	1	4	yes	—
393	#390	C₂³	1	4	yes	—
394	#390	C₂³	1	4	yes	—
395	#390	C₂³	1	4	yes	—
396	#390	C₂³	1	4	yes	complemented
397	#390	C₂³	1	4	yes	complemented
398	#390	C₂³	1	8	yes	complemented
399	#390	C₂³	1	8	yes	complemented
400	#390	C₂³	1	8	yes	complemented
401	#390	C₂³	1	2	yes	complemented
402	#390	C₂³	1	8	yes	complemented
403	#390	C₂³	1	8	yes	complemented
404	#390	C₂³	1	8	yes	complemented
405	#390	C₂³	1	2	yes	complemented
406	#388	C₂³	1	4	yes	—
407	#388	C₂³	1	4	yes	—
408	#388	C₂³	1	8	yes	—
409	#388	C₂³	1	8	yes	—
410	#388	C₂³	1	4	yes	complemented
411	#388	C₂³	1	4	yes	complemented
412	#388	C₂³	1	8	yes	complemented
413	#388	C₂³	1	8	yes	complemented
414	#388	C₂³	1	8	yes	complemented
415	#388	C₂³	1	8	yes	complemented
416	#388	C₂³	1	8	yes	complemented
417	#388	C₂³	1	8	yes	complemented
418	#388	C₂³	1	8	yes	complemented
419	#388	C₂³	1	8	yes	complemented
420	#388	C₂³	1	8	yes	complemented
421	#388	C₂³	1	8	yes	complemented
422	#388	C₂³	1	8	yes	complemented
423	#388	C₂³	1	8	yes	complemented
424	#388	C₂³	1	8	yes	complemented
425	#388	C₂³	1	8	yes	complemented
426	#386	C₂³	1	8	yes	—
427	#386	C₂³	1	8	yes	—
428	#386	C₂³	1	2	yes	—
429	#386	C₂³	1	4	yes	—
430	#386	C₂³	1	4	yes	—
431	#386	C₂³	1	2	yes	—
432	#386	C₂³	1	4	yes	—
433	#386	C₂³	1	4	yes	—
434	#386	C₂³	1	8	yes	complemented
435	#386	C₂³	1	8	yes	complemented
436	#386	C₂³	1	8	yes	complemented
437	#386	C₂³	1	8	yes	complemented
438	#386	C₂³	1	8	yes	complemented
439	#386	C₂³	1	8	yes	complemented
440	#385	C₂³	1	2	yes	complemented
441	#385	C₂³	1	4	yes	complemented
442	#385	C₂³	1	2	yes	complemented
443	#385	C₂³	1	4	yes	complemented
444	#382	C₂³	1	2	yes	complemented
445	#382	C₂³	1	8	yes	complemented
446	#382	C₂³	1	2	yes	complemented
447	#381	C₂³	1	2	yes	—
448	#381	C₂³	1	4	yes	—
449	#381	C₂³	1	4	yes	—
450	#380	C₂³	1	2	yes	—
451	#380	C₂³	1	2	yes	—
452	#380	C₂³	1	2	yes	—
453	#380	C₂³	1	2	yes	—
454	#380	C₂³	1	2	yes	—
455	#380	C₂³	1	2	yes	—
456	#380	C₂³	1	2	yes	—
457	#380	C₂³	1	2	yes	—
458	#380	C₂³	1	4	yes	complemented
459	#380	C₂³	1	4	yes	complemented
460	#380	C₂³	1	2	yes	complemented
461	#380	C₂³	1	2	yes	complemented
462	#380	C₂³	1	4	yes	complemented
463	#380	C₂³	1	2	yes	complemented
464	#380	C₂³	1	2	yes	complemented
465	#380	C₂³	1	4	yes	complemented
466	#380	C₂³	1	2	yes	complemented
467	#380	C₂³	1	1	yes	characteristic, complemented
468	#380	C₂³	1	1	yes	characteristic, complemented
469	#379	C₂³	1	8	yes	—
470	#379	C₂³	1	8	yes	—
471	#379	C₂³	1	4	yes	—
472	#379	C₂³	1	4	yes	—
473	#379	C₂³	1	8	yes	—
474	#379	C₂³	1	4	yes	—
475	#379	C₂³	1	8	yes	—
476	#379	C₂³	1	8	yes	—
477	#379	C₂³	1	8	yes	—
478	#379	C₂³	1	4	yes	—
479	#379	C₂³	1	2	yes	—
480	#379	C₂³	1	4	yes	—
481	#379	C₂³	1	4	yes	—
482	#379	C₂³	1	2	yes	complemented
483	#379	C₂³	1	2	yes	complemented
484	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
485	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
486	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
487	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
488	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
489	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
490	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
491	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
492	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
493	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
494	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
495	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
496	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
497	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
498	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
499	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
500	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
501	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
502	#376	C₂³	1	2	yes	complemented
503	C₂×#95	C₂³	1	2	yes	—
504	C₄³	C₂³	1	2	yes	complemented
505	C₂⁵	—	4	4	no	—
506	C₂⁵	—	4	8	no	—
507	C₂⁵	—	4	4	no	—
508	C₂⁵	—	4	4	no	—
509	C₂⁵	—	8	4	no	—
510	C₂⁵	C₂⁴	1	1	yes	characteristic
511	C₂⁵	C₂⁴	1	1	yes	characteristic
512	C₂⁵	C₂⁴	1	4	yes	—
513	C₂⁵	C₂⁴	1	4	yes	—
514	C₂⁵	C₂⁴	1	4	yes	—
515	C₂⁵	C₂⁴	1	2	yes	—
516	C₂×#41	—	2	8	no	—
517	C₂×#41	—	2	8	no	—
518	C₂×#41	—	2	8	no	—
519	C₂×#41	—	4	4	no	—
520	C₂×#41	—	4	8	no	—
521	C₂×#41	—	4	8	no	—
522	C₂×#41	—	4	4	no	—
523	C₂×#41	—	4	4	no	—
524	C₂×#41	—	4	4	no	—
525	C₂×#41	—	4	4	no	—
526	C₂×#41	—	4	64	no	—
527	C₂²×Q₈	—	4	2	no	—
528	C₂²×Q₈	—	4	4	no	—
529	C₂²×Q₈	C₂⁴	1	2	yes	—
530	C₂²×Q₈	C₂⁴	1	2	yes	—
531	C₂²×Q₈	C₂⁴	1	2	yes	—
532	C₂²×Q₈	C₂⁴	1	8	yes	—
533	C₂²×Q₈	C₂⁴	1	2	yes	—
534	C₂²×D₄	—	2	4	no	—
535	C₂²×D₄	—	2	8	no	—
536	C₂²×D₄	—	2	8	no	—
537	C₂²×D₄	—	2	8	no	—
538	C₂²×D₄	—	4	4	no	—
539	C₂²×D₄	—	4	4	no	—
540	C₂²×D₄	—	4	8	no	—
541	C₂²×D₄	—	4	8	no	—
542	C₂²×D₄	—	4	4	no	—
543	C₂²×D₄	—	4	4	no	—
544	C₂²×D₄	—	4	8	no	—
545	C₂²×D₄	—	4	8	no	—
546	C₂²×D₄	—	4	2	no	—
547	C₂²×D₄	—	4	4	no	—
548	C₂²×D₄	—	4	2	no	—
549	C₂²×D₄	—	4	4	no	—
550	C₂²×D₄	—	4	8	no	—
551	C₂²×D₄	—	4	8	no	—
552	C₂²×D₄	—	4	2	no	—
553	C₂²×D₄	—	4	4	no	—
554	C₂²×D₄	—	4	8	no	—
555	C₂²×D₄	—	4	8	no	—
556	C₂²×D₄	—	4	64	no	—
557	C₂²×D₄	—	8	4	no	—
558	C₂²×D₄	C₂⁴	1	4	yes	—
559	C₂²×D₄	C₂⁴	1	4	yes	—
560	C₂²×D₄	C₂⁴	1	4	yes	—
561	C₂²×D₄	C₂⁴	1	2	yes	—
562	C₂²×D₄	C₂⁴	1	1	yes	characteristic
563	C₂²×D₄	C₂⁴	1	1	yes	characteristic
564	C₂²×D₄	C₂⁴	1	1	yes	characteristic
565	C₂²×D₄	C₂⁴	1	4	yes	—
566	C₂²×D₄	C₂⁴	1	4	yes	—
567	C₂²×D₄	C₂⁴	1	8	yes	—
568	C₂²×D₄	C₂⁴	1	8	yes	—
569	C₂²×D₄	C₂⁴	1	8	yes	—
570	C₂²×D₄	C₂⁴	1	8	yes	—
571	C₂²×D₄	C₂⁴	1	8	yes	—
572	C₂²×D₄	C₂⁴	1	8	yes	—
573	C₂²×D₄	C₂⁴	1	4	yes	—
574	C₂²×D₄	C₂⁴	1	4	yes	—
575	C₂²×D₄	C₂⁴	1	4	yes	—
576	C₂²×D₄	C₂⁴	1	2	yes	—
577	C₂²×D₄	C₂⁴	1	1	yes	characteristic
578	C₂³×C₄	—	2	4	no	—
579	C₂³×C₄	—	2	4	no	—
580	C₂³×C₄	—	2	8	no	—
581	C₂³×C₄	—	2	8	no	—
582	C₂³×C₄	—	4	4	no	—
583	C₂³×C₄	—	4	8	no	—
584	C₂³×C₄	C₂⁴	1	1	yes	characteristic
585	C₂³×C₄	C₂⁴	1	1	yes	characteristic
586	C₂³×C₄	C₂⁴	1	1	yes	characteristic
587	C₂³×C₄	C₂⁴	1	1	yes	characteristic
588	C₂³×C₄	C₂⁴	1	1	yes	characteristic
589	C₂³×C₄	C₂⁴	1	1	yes	characteristic
590	C₂³×C₄	C₂⁴	1	1	yes	characteristic
591	C₂³×C₄	C₂⁴	1	1	yes	characteristic
592	C₂³×C₄	C₂⁴	1	4	yes	—
593	C₂³×C₄	C₂⁴	1	1	yes	characteristic
594	C₂³×C₄	C₂⁴	1	1	yes	characteristic
595	C₂³×C₄	C₂⁴	1	1	yes	characteristic
596	C₂³×C₄	C₂⁴	1	1	yes	characteristic
597	C₂³×C₄	C₂⁴	1	4	yes	—
598	C₂³×C₄	C₂⁴	1	2	yes	—
599	C₂³×C₄	C₂⁴	1	4	yes	—
600	C₂³×C₄	C₂⁴	1	1	yes	characteristic
601	C₄⋊Q₈	—	4	2	no	—
602	C₄⋊Q₈	—	4	2	no	—
603	C₄⋊Q₈	—	4	8	no	—
604	C₄⋊Q₈	—	4	8	no	—
605	#127	—	4	8	no	—
606	#127	—	4	8	no	—
607	#125	—	4	4	no	—
608	#125	—	4	8	no	—
609	#125	—	4	8	no	—
610	#124	—	2	8	no	—
611	#124	—	4	16	no	—
612	#124	—	4	8	no	—
613	#124	—	4	8	no	—
614	#124	—	4	4	no	—
615	#124	—	4	16	no	—
616	#124	—	4	16	no	—
617	#124	—	4	16	no	—
618	#124	—	8	8	no	—
619	#124	—	8	8	no	—
620	#124	—	8	8	no	—
621	#123	—	4	8	no	—
622	C₂²⋊Q₈	—	4	4	no	—
623	C₂²⋊Q₈	—	4	4	no	—
624	C₂²⋊Q₈	—	4	16	no	—
625	C₂²⋊Q₈	—	4	4	no	—
626	C₂²⋊Q₈	—	4	4	no	—
627	#121	—	4	8	no	—
628	#121	—	4	8	no	—
629	#121	—	4	8	no	—
630	#121	—	4	8	no	—
631	#121	—	4	4	no	—
632	#121	—	4	4	no	—
633	#121	—	4	8	no	—
634	#121	—	4	8	no	—
635	#121	—	4	8	no	—
636	#121	—	4	8	no	—
637	#120	—	2	16	no	—
638	#120	—	2	8	no	—
639	#120	—	4	8	no	—
640	#120	—	4	8	no	—
641	#120	—	4	16	no	—
642	#120	—	4	8	no	—
643	#120	—	4	16	no	—
644	#120	—	4	16	no	—
645	#120	—	4	16	no	—
646	#120	—	4	16	no	—
647	#120	—	4	8	no	—
648	#120	—	4	4	no	—
649	#120	—	8	8	no	—
650	#120	—	8	8	no	—
651	#120	—	8	8	no	—
652	C₄×Q₈	—	4	4	no	—
653	C₄×Q₈	—	4	4	no	—
654	C₄×D₄	—	4	2	no	—
655	C₄×D₄	—	4	2	no	—
656	C₄×D₄	—	4	2	no	—
657	C₄×D₄	—	4	2	no	—
658	C₄×D₄	—	4	2	no	—
659	C₄×D₄	—	4	2	no	—
660	C₄×D₄	—	4	2	no	—
661	C₄×D₄	—	4	2	no	—
662	C₄×D₄	—	4	8	no	—
663	C₄×D₄	—	4	8	no	—
664	#117	—	2	8	no	—
665	#117	—	2	8	no	—
666	#117	—	2	8	no	—
667	C₂×C₄⋊C₄	—	2	8	no	—
668	C₂×C₄⋊C₄	—	4	2	no	—
669	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
670	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
671	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
672	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
673	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
674	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
675	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
676	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
677	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
682	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
684	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
685	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
686	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
687	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
688	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
689	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
690	C₂×C₂²⋊C₄	—	4	8	no	—
691	C₂×C₂²⋊C₄	—	4	4	no	—
692	C₂×C₂²⋊C₄	—	4	2	no	—
693	C₂×C₂²⋊C₄	—	4	2	no	—
694	C₂×C₂²⋊C₄	—	4	8	no	—
695	C₂×C₂²⋊C₄	—	8	4	no	—
696	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
697	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
698	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
699	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
700	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
701	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
702	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
703	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
708	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
715	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
716	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
717	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
718	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
719	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
720	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
721	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
722	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
723	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
724	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
725	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
726	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
727	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
728	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
729	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
730	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
731	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
732	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
733	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
734	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
735	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
736	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
739	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
740	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
742	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
743	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
744	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
745	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
748	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄²	—	2	4	no	—
751	C₂×C₄²	C₂⁴	1	4	yes	—
752	C₂×C₄²	C₂⁴	1	4	yes	—
753	C₂×C₄²	C₂⁴	1	4	yes	—
754	C₂×C₄²	C₂⁴	1	1	yes	characteristic
755	C₂×C₄²	C₂⁴	1	1	yes	characteristic
756	C₂×C₄²	C₂⁴	1	1	yes	characteristic
757	C₂×C₄²	C₂⁴	1	1	yes	characteristic
758	C₂×C₄²	C₂⁴	1	2	yes	—
759	C₂×C₄²	C₂⁴	1	8	yes	—
760	C₂×C₄²	C₂⁴	1	2	yes	—
761	C₂×C₄²	C₂⁴	1	4	yes	—
762	C₂×C₄²	C₂⁴	1	8	yes	—
763	#95	C₂⁴	1	4	yes	—
764	#95	C₂⁴	1	4	yes	—
765	#95	C₂⁴	1	2	yes	—
766	#95	C₂⁴	1	2	yes	—
767	#95	C₂⁴	1	4	yes	—
768	#95	C₂⁴	1	8	yes	—
769	#95	C₂⁴	1	8	yes	—
770	#95	C₂⁴	1	4	yes	—
771	#95	C₂⁴	1	4	yes	—
772	#95	C₂⁴	1	4	yes	—
773	#95	C₂⁴	1	4	yes	—
774	#95	C₂⁴	1	4	yes	—
775	#95	C₂⁴	1	4	yes	—
776	#95	C₂⁴	1	4	yes	—
777	#95	C₂⁴	1	4	yes	—
778	#95	C₂⁴	1	4	yes	—
779	#95	C₂⁴	1	2	yes	—
780	#95	C₂⁴	1	2	yes	—
781	#95	C₂⁴	1	4	yes	—
782	#95	C₂⁴	1	4	yes	—
783	#95	C₂⁴	1	4	yes	—
784	#95	C₂⁴	1	4	yes	—
785	#95	C₂⁴	1	8	yes	—
786	#95	C₂⁴	1	8	yes	—
787	#95	C₂⁴	1	8	yes	—
788	#95	C₂⁴	1	8	yes	—
789	C₂⁴	—	2	2	no	—
790	C₂⁴	—	2	2	no	—
791	C₂⁴	—	2	2	no	—
792	C₂⁴	—	2	8	no	—
793	C₂⁴	—	2	4	no	—
794	C₂⁴	—	2	2	no	—
795	C₂⁴	—	2	2	no	—
796	C₂⁴	—	2	4	no	—
797	C₂⁴	—	2	8	no	—
798	C₂⁴	—	2	8	no	—
799	C₂⁴	—	2	4	no	—
800	C₂⁴	—	2	8	no	—
801	C₂⁴	—	2	8	no	—
802	C₂⁴	—	4	2	no	—
803	C₂⁴	—	4	4	no	—
804	C₂⁴	—	4	4	no	—
805	C₂⁴	—	4	2	no	—
806	C₂⁴	—	4	4	no	—
807	C₂⁴	—	4	4	no	—
808	C₂⁴	—	4	4	no	—
809	C₂⁴	—	4	8	no	—
810	C₂⁴	—	4	8	no	—
811	C₂⁴	—	4	1	no	—
812	C₂⁴	—	4	2	no	—
813	C₂⁴	—	4	4	no	—
814	C₂⁴	—	4	4	no	—
815	C₂⁴	—	4	4	no	—
816	C₂⁴	—	4	2	no	—
817	C₂⁴	—	4	4	no	—
818	C₂⁴	—	4	8	no	—
819	C₂⁴	—	4	8	no	—
820	C₂⁴	—	4	4	no	—
821	C₂⁴	—	4	32	no	—
822	C₂⁴	—	8	16	no	—
823	C₂⁴	—	8	32	no	—
824	C₂⁴	—	8	32	no	—
825	C₂⁴	—	8	16	no	—
826	C₂⁴	C₂⁵	1	8	yes	—
827	C₂⁴	C₂⁵	1	4	yes	—
828	C₂⁴	C₂⁵	1	1	yes	characteristic
829	C₂⁴	C₂⁵	1	1	yes	characteristic
830	C₂⁴	C₂⁵	1	1	yes	characteristic
831	C₂⁴	C₂⁵	1	1	yes	characteristic
832	C₂⁴	C₂⁵	1	1	yes	characteristic
833	#41	—	4	32	no	—
834	#41	—	4	32	no	—
835	#41	—	4	32	no	—
836	#41	—	4	32	no	—
837	C₂×Q₈	—	2	4	no	—
838	C₂×Q₈	—	2	4	no	—
839	C₂×Q₈	—	2	4	no	—
840	C₂×Q₈	—	2	4	no	—
841	C₂×Q₈	—	4	4	no	—
842	C₂×Q₈	—	4	2	no	—
843	C₂×Q₈	—	4	2	no	—
844	C₂×Q₈	—	4	2	no	—
845	C₂×Q₈	—	4	2	no	—
846	C₂×Q₈	—	4	4	no	—
847	C₂×Q₈	—	4	8	no	—
848	C₂×Q₈	—	4	8	no	—
849	C₂×Q₈	—	4	8	no	—
850	C₂×Q₈	—	4	16	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	8	no	—
854	C₂×D₄	—	2	8	no	—
855	C₂×D₄	—	2	8	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	8	no	—
859	C₂×D₄	—	2	16	no	—
860	C₂×D₄	—	2	8	no	—
861	C₂×D₄	—	2	2	no	—
862	C₂×D₄	—	2	8	no	—
863	C₂×D₄	—	2	8	no	—
864	C₂×D₄	—	2	8	no	—
865	C₂×D₄	—	2	8	no	—
866	C₂×D₄	—	2	4	no	—
867	C₂×D₄	—	2	8	no	—
868	C₂×D₄	—	2	8	no	—
869	C₂×D₄	—	2	4	no	—
870	C₂×D₄	—	2	4	no	—
871	C₂×D₄	—	4	1	no	—
872	C₂×D₄	—	4	1	no	—
873	C₂×D₄	—	4	1	no	—
874	C₂×D₄	—	4	1	no	—
875	C₂×D₄	—	4	4	no	—
876	C₂×D₄	—	4	4	no	—
877	C₂×D₄	—	4	8	no	—
878	C₂×D₄	—	4	8	no	—
879	C₂×D₄	—	4	1	no	—
880	C₂×D₄	—	4	1	no	—
881	C₂×D₄	—	4	4	no	—
882	C₂×D₄	—	4	4	no	—
883	C₂×D₄	—	4	4	no	—
884	C₂×D₄	—	4	2	no	—
885	C₂×D₄	—	4	4	no	—
886	C₂×D₄	—	4	4	no	—
887	C₂×D₄	—	4	4	no	—
888	C₂×D₄	—	4	8	no	—
889	C₂×D₄	—	4	4	no	—
890	C₂×D₄	—	4	4	no	—
891	C₂×D₄	—	4	8	no	—
892	C₂×D₄	—	4	8	no	—
893	C₂×D₄	—	4	8	no	—
894	C₂×D₄	—	4	8	no	—
895	C₂×D₄	—	4	8	no	—
896	C₂×D₄	—	4	8	no	—
897	C₂×D₄	—	4	8	no	—
898	C₂×D₄	—	4	8	no	—
899	C₂×D₄	—	4	8	no	—
900	C₂×D₄	—	4	8	no	—
901	C₂×D₄	—	4	8	no	—
902	C₂×D₄	—	4	8	no	—
903	C₂×D₄	—	4	8	no	—
904	C₂×D₄	—	4	8	no	—
905	C₂×D₄	—	4	8	no	—
906	C₂×D₄	—	4	8	no	—
907	C₂×D₄	—	4	16	no	—
908	C₂×D₄	—	4	32	no	—
909	C₂×D₄	—	4	32	no	—
910	C₂×D₄	—	4	32	no	—
911	C₂×D₄	—	4	32	no	—
912	C₂×D₄	—	4	32	no	—
913	C₂×D₄	—	4	32	no	—
914	C₂×D₄	—	4	16	no	—
915	C₂×D₄	—	4	32	no	—
916	C₂×D₄	—	8	32	no	—
917	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	4	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	4	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	8	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	4	no	—
932	C₂²×C₄	—	2	4	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	8	no	—
937	C₂²×C₄	—	2	4	no	—
938	C₂²×C₄	—	2	4	no	—
939	C₂²×C₄	—	2	4	no	—
940	C₂²×C₄	—	2	4	no	—
941	C₂²×C₄	—	2	8	no	—
942	C₂²×C₄	—	2	8	no	—
943	C₂²×C₄	—	2	4	no	—
944	C₂²×C₄	—	2	4	no	—
945	C₂²×C₄	—	4	2	no	—
946	C₂²×C₄	—	4	4	no	—
947	C₂²×C₄	—	4	4	no	—
948	C₂²×C₄	—	4	4	no	—
949	C₂²×C₄	—	4	4	no	—
950	C₂²×C₄	—	4	1	no	—
951	C₂²×C₄	—	4	4	no	—
952	C₂²×C₄	—	4	2	no	—
953	C₂²×C₄	—	4	4	no	—
954	C₂²×C₄	—	4	32	no	—
955	C₂²×C₄	—	4	16	no	—
956	C₂²×C₄	—	4	16	no	—
957	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
958	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
959	C₂²×C₄	C₂⁵	1	1	yes	characteristic
960	C₂²×C₄	C₂⁵	1	1	yes	characteristic
961	C₂²×C₄	C₂⁵	1	4	yes	—
962	C₂²×C₄	C₂⁵	1	1	yes	characteristic
963	C₂²×C₄	C₂⁵	1	1	yes	characteristic
964	C₂²×C₄	C₂⁵	1	4	yes	—
965	C₂²×C₄	C₂⁵	1	4	yes	—
966	C₂²×C₄	C₂⁵	1	4	yes	—
967	C₂²×C₄	C₂⁵	1	4	yes	—
968	C₂²×C₄	C₂⁵	1	1	yes	characteristic
969	C₂²×C₄	C₂⁵	1	1	yes	characteristic
970	C₂²×C₄	C₂⁵	1	8	yes	—
971	C₂²×C₄	C₂⁵	1	4	yes	—
972	C₂²×C₄	C₂⁵	1	4	yes	—
973	C₂²×C₄	C₂⁵	1	1	yes	characteristic
974	C₂²×C₄	C₂⁵	1	1	yes	characteristic
975	C₂²×C₄	C₂⁵	1	1	yes	characteristic
976	C₂²×C₄	C₂⁵	1	1	yes	characteristic
977	C₄⋊C₄	—	2	8	no	—
978	C₄⋊C₄	—	2	8	no	—
979	C₄⋊C₄	—	2	4	no	—
980	C₄⋊C₄	—	2	4	no	—
981	C₄⋊C₄	—	2	4	no	—
982	C₄⋊C₄	—	2	4	no	—
983	C₄⋊C₄	—	2	4	no	—
984	C₄⋊C₄	—	2	4	no	—
985	C₄⋊C₄	—	4	1	no	—
986	C₄⋊C₄	—	4	1	no	—
987	C₄⋊C₄	—	4	1	no	—
988	C₄⋊C₄	—	4	1	no	—
989	C₄⋊C₄	—	4	4	no	—
990	C₄⋊C₄	—	4	4	no	—
991	C₄⋊C₄	—	4	4	no	—
992	C₄⋊C₄	—	4	4	no	—
993	C₄⋊C₄	—	4	2	no	—
994	C₄⋊C₄	—	4	2	no	—
995	C₄⋊C₄	—	4	8	no	—
996	C₄⋊C₄	—	4	8	no	—
997	C₄⋊C₄	—	4	8	no	—
998	C₂²⋊C₄	—	2	8	no	—
999	C₂²⋊C₄	—	2	8	no	—
1000	C₂²⋊C₄	—	2	8	no	—
1001	C₂²⋊C₄	—	2	8	no	—
1002	C₂²⋊C₄	—	2	4	no	—
1003	C₂²⋊C₄	—	2	8	no	—
1004	C₂²⋊C₄	—	2	8	no	—
1005	C₂²⋊C₄	—	2	8	no	—
1006	C₂²⋊C₄	—	2	16	no	—
1007	C₂²⋊C₄	—	2	8	no	—
1008	C₂²⋊C₄	—	4	1	no	—
1009	C₂²⋊C₄	—	4	1	no	—
1010	C₂²⋊C₄	—	4	1	no	—
1011	C₂²⋊C₄	—	4	1	no	—
1012	C₂²⋊C₄	—	4	1	no	—
1013	C₂²⋊C₄	—	4	1	no	—
1014	C₂²⋊C₄	—	4	1	no	—
1015	C₂²⋊C₄	—	4	1	no	—
1016	C₂²⋊C₄	—	4	4	no	—
1017	C₂²⋊C₄	—	4	8	no	—
1018	C₂²⋊C₄	—	4	8	no	—
1019	C₂²⋊C₄	—	4	8	no	—
1020	C₂²⋊C₄	—	4	8	no	—
1021	C₂²⋊C₄	—	4	8	no	—
1022	C₂²⋊C₄	—	4	4	no	—
1023	C₂²⋊C₄	—	4	4	no	—
1024	C₂²⋊C₄	—	4	4	no	—
1025	C₂²⋊C₄	—	4	4	no	—
1026	C₂²⋊C₄	—	4	8	no	—
1027	C₂²⋊C₄	—	4	8	no	—
1028	C₂²⋊C₄	—	4	2	no	—
1029	C₂²⋊C₄	—	4	4	no	—
1030	C₂²⋊C₄	—	4	8	no	—
1031	C₂²⋊C₄	—	4	8	no	—
1032	C₂²⋊C₄	—	4	8	no	—
1033	C₂²⋊C₄	—	4	8	no	—
1034	C₂²⋊C₄	—	4	8	no	—
1035	C₂²⋊C₄	—	4	8	no	—
1036	C₂²⋊C₄	—	4	8	no	—
1037	C₂²⋊C₄	—	4	8	no	—
1038	C₂²⋊C₄	—	4	4	no	—
1039	C₂²⋊C₄	—	4	4	no	—
1040	C₂²⋊C₄	—	4	4	no	—
1041	C₂²⋊C₄	—	4	8	no	—
1042	C₂²⋊C₄	—	4	8	no	—
1043	C₂²⋊C₄	—	4	8	no	—
1044	C₂²⋊C₄	—	4	8	no	—
1045	C₂²⋊C₄	—	4	8	no	—
1046	C₂²⋊C₄	—	4	8	no	—
1047	C₂²⋊C₄	—	4	4	no	—
1048	C₂²⋊C₄	—	4	4	no	—
1049	C₂²⋊C₄	—	4	4	no	—
1050	C₂²⋊C₄	—	4	4	no	—
1051	C₂²⋊C₄	—	4	4	no	—
1052	C₄²	—	2	2	no	—
1053	C₄²	—	2	2	no	—
1054	C₄²	—	2	2	no	—
1055	C₄²	—	2	2	no	—
1056	C₄²	—	2	8	no	—
1057	C₄²	—	2	8	no	—
1058	C₄²	—	2	8	no	—
1059	C₄²	—	2	4	no	—
1060	C₄²	—	4	2	no	—
1061	C₄²	—	4	8	no	—
1062	C₄²	—	4	4	no	—
1063	C₄²	—	4	8	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	2	no	—
1067	C₂³	—	2	8	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	2	no	—
1073	C₂³	—	2	2	no	—
1074	C₂³	—	2	2	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	2	no	—
1078	C₂³	—	2	2	no	—
1079	C₂³	—	2	2	no	—
1080	C₂³	—	2	4	no	—
1081	C₂³	—	2	8	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	4	no	—
1084	C₂³	—	2	8	no	—
1085	C₂³	—	2	8	no	—
1086	C₂³	—	2	8	no	—
1087	C₂³	—	2	2	no	—
1088	C₂³	—	2	4	no	—
1089	C₂³	—	2	4	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	1	no	—
1092	C₂³	—	2	8	no	—
1093	C₂³	—	2	4	no	—
1094	C₂³	—	2	2	no	—
1095	C₂³	—	2	8	no	—
1096	C₂³	—	2	4	no	—
1097	C₂³	—	2	4	no	—
1098	C₂³	—	2	8	no	—
1099	C₂³	—	4	8	no	—
1100	C₂³	—	4	8	no	—
1101	C₂³	—	4	4	no	—
1102	C₂³	—	4	8	no	—
1103	C₂³	—	4	4	no	—
1104	C₂³	—	4	16	no	—
1105	C₂³	—	4	16	no	—
1106	C₂³	—	4	4	no	—
1107	C₂³	—	4	8	no	—
1108	C₂³	—	4	16	no	—
1109	C₂³	—	4	16	no	—
1110	C₂³	—	4	4	no	—
1111	C₂³	—	4	16	no	—
1112	C₂³	—	8	2	no	—
1113	C₂³	—	8	4	no	—
1114	C₂³	—	8	4	no	—
1115	C₂³	—	8	8	no	—
1116	C₂³	—	8	8	no	—
1117	C₂³	—	8	8	no	—
1118	C₂³	—	8	8	no	—
1119	C₂³	—	8	8	no	—
1120	C₂³	—	8	8	no	—
1121	C₂³	—	8	8	no	—
1122	C₂³	—	8	16	no	—
1123	C₂³	—	8	16	no	—
1124	C₂³	—	8	4	no	—
1125	C₂³	—	8	8	no	—
1126	C₂³	—	8	8	no	—
1127	C₂³	—	8	8	no	—
1128	C₂³	—	8	16	no	—
1129	C₂³	—	8	16	no	—
1130	C₂³	—	8	128	no	—
1131	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1132	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1133	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1134	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1135	C₂³	#585	1	2	yes	—
1136	C₂³	C₂⁶	1	1	yes	characteristic
1137	Q₈	—	4	8	no	—
1138	Q₈	—	4	8	no	—
1139	Q₈	—	8	4	no	—
1140	Q₈	—	8	4	no	—
1141	Q₈	—	16	8	no	—
1142	D₄	—	4	4	no	—
1143	D₄	—	4	4	no	—
1144	D₄	—	4	4	no	—
1145	D₄	—	4	4	no	—
1146	D₄	—	4	16	no	—
1147	D₄	—	4	16	no	—
1148	D₄	—	4	8	no	—
1149	D₄	—	4	16	no	—
1150	D₄	—	4	16	no	—
1151	D₄	—	4	16	no	—
1152	D₄	—	4	16	no	—
1153	D₄	—	4	8	no	—
1154	D₄	—	8	8	no	—
1155	D₄	—	8	8	no	—
1156	D₄	—	8	16	no	—
1157	D₄	—	8	16	no	—
1158	D₄	—	16	8	no	—
1159	D₄	—	16	8	no	—
1160	D₄	—	16	8	no	—
1161	D₄	—	16	8	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	4	no	—
1168	C₂×C₄	—	2	4	no	—
1169	C₂×C₄	—	2	4	no	—
1170	C₂×C₄	—	2	4	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	2	4	no	—
1173	C₂×C₄	—	2	4	no	—
1174	C₂×C₄	—	2	4	no	—
1175	C₂×C₄	—	2	4	no	—
1176	C₂×C₄	—	2	8	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	4	no	—
1181	C₂×C₄	—	2	4	no	—
1182	C₂×C₄	—	2	8	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	2	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	4	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	2	4	no	—
1192	C₂×C₄	—	2	4	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	4	no	—
1196	C₂×C₄	—	2	4	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	8	no	—
1199	C₂×C₄	—	2	4	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	4	no	—
1202	C₂×C₄	—	2	4	no	—
1203	C₂×C₄	—	4	4	no	—
1204	C₂×C₄	—	4	8	no	—
1205	C₂×C₄	—	4	16	no	—
1206	C₂×C₄	—	4	4	no	—
1207	C₂×C₄	—	4	4	no	—
1208	C₂×C₄	—	4	4	no	—
1209	C₂×C₄	—	4	4	no	—
1210	C₂×C₄	—	4	4	no	—
1211	C₂×C₄	—	4	4	no	—
1212	C₂×C₄	—	4	4	no	—
1213	C₂×C₄	—	4	4	no	—
1214	C₂×C₄	—	4	4	no	—
1215	C₂×C₄	—	4	4	no	—
1216	C₂×C₄	—	4	16	no	—
1217	C₂×C₄	—	8	2	no	—
1218	C₂×C₄	—	8	8	no	—
1219	C₂×C₄	H(3,𝔽₄)	1	16	yes	complemented
1220	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1221	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1222	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1223	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1224	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1225	C₂²	—	2	2	no	—
1226	C₂²	—	2	2	no	—
1227	C₂²	—	2	4	no	—
1228	C₂²	—	2	4	no	—
1229	C₂²	—	2	2	no	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	2	4	no	—
1233	C₂²	—	2	4	no	—
1234	C₂²	—	2	4	no	—
1235	C₂²	—	4	16	no	—
1236	C₂²	—	4	1	no	—
1237	C₂²	—	4	1	no	—
1238	C₂²	—	4	1	no	—
1239	C₂²	—	4	2	no	—
1240	C₂²	—	4	2	no	—
1241	C₂²	—	4	2	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	4	no	—
1247	C₂²	—	4	8	no	—
1248	C₂²	—	4	4	no	—
1249	C₂²	—	4	8	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	2	no	—
1252	C₂²	—	4	8	no	—
1253	C₂²	—	4	4	no	—
1254	C₂²	—	4	4	no	—
1255	C₂²	—	4	8	no	—
1256	C₂²	—	4	4	no	—
1257	C₂²	—	4	4	no	—
1258	C₂²	—	4	8	no	—
1259	C₂²	—	4	8	no	—
1260	C₂²	—	4	2	no	—
1261	C₂²	—	4	4	no	—
1262	C₂²	—	4	1	no	—
1263	C₂²	—	4	8	no	—
1264	C₂²	—	8	8	no	—
1265	C₂²	—	8	32	no	—
1266	C₂²	—	8	16	no	—
1267	C₂²	—	8	32	no	—
1268	C₂²	—	8	32	no	—
1269	C₂²	C₂×H(3,𝔽₄)	1	4	yes	—
1270	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1271	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1272	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1273	C₂²	C₂×#585	1	1	yes	characteristic
1274	C₂²	H(7,𝔽₂)	1	2	yes	—
1275	C₄	—	2	2	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	4	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	4	no	—
1281	C₄	—	4	8	no	—
1282	C₄	—	4	4	no	—
1283	C₄	—	4	4	no	—
1284	C₄	—	4	4	no	—
1285	C₄	—	4	4	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	4	no	—
1291	C₄	C₂×H(3,𝔽₄)	1	4	yes	—
1292	C₄	C₂×H(3,𝔽₄)	1	4	yes	—
1293	C₂	—	2	4	no	—
1294	C₂	—	4	2	no	—
1295	C₂	—	4	2	no	—
1296	C₂	—	4	2	no	—
1297	C₂	—	8	1	no	—
1298	C₂	—	8	4	no	—
1299	C₂	—	8	8	no	—
1300	C₂	C₂²×H(3,𝔽₄)	1	1	yes	characteristic
1301	C₂	#62818	1	1	yes	characteristic
1302	C₂	#62874	1	1	yes	characteristic
1303	C₂	#62912	1	2	yes	—
1304	C₂	#62924	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. #53116	C₂	semidirect
2. #53015	C₂	semidirect
3. #52990	C₂	semidirect
4. #52986	C₂	semidirect
5. #52967	C₂	semidirect
6. #52967	C₂	semidirect
7. #52367	C₂	semidirect
8. #52310	C₂	semidirect
9. #46073	C₂	semidirect
10. #46054	C₂	semidirect
11. #45996	C₂	semidirect
12. #45645	C₂	semidirect
13. #45645	C₂	semidirect
14. #45479	C₂	semidirect
15. #45458	C₂	semidirect
16. #45439	C₂	semidirect
17. #35584	C₂	semidirect
18. #35556	C₂	semidirect
19. #35542	C₂	semidirect
20. #35264	C₂	semidirect
21. #35250	C₂	semidirect
22. #35222	C₂	semidirect
23. #34946	C₂	semidirect
24. #34736	C₂	semidirect
25. C₂×#2408	C₂	semidirect
26. C₂³×#41	C₂²	semidirect
27. C₂⁴×D₄	C₂²	semidirect
28. C₂×H(3,𝔽₄)	C₂²	semidirect
29. C₂×#544	C₂²	semidirect
32. C₂×#533	C₂²	semidirect
37. #2861	C₂²	semidirect
38. #2858	C₂²	semidirect
39. #2847	C₂²	semidirect
40. #2847	C₂²	semidirect
41. #2846	C₂²	semidirect
42. #2840	C₂²	semidirect
43. #2832	C₂²	semidirect
44. #2832	C₂²	semidirect
45. #2828	C₂²	semidirect
46. #2828	C₂²	semidirect
47. #2828	C₂²	semidirect
48. #2824	C₂²	semidirect
49. #2824	C₂²	semidirect
50. #2819	C₂²	semidirect
51. #2819	C₂²	semidirect
52. #2812	C₂²	semidirect
53. #2812	C₂²	semidirect
54. #2812	C₂²	semidirect
55. #2785	C₂²	semidirect
56. #2753	C₂²	semidirect
57. #2753	C₂²	semidirect
58. #2753	C₂²	semidirect
59. #2736	C₂²	semidirect
60. #2736	C₂²	semidirect
61. #2733	C₂²	semidirect
62. #2733	C₂²	semidirect
63. #2712	C₂²	semidirect
64. #2712	C₂²	semidirect
65. #2684	C₂²	semidirect
66. #2684	C₂²	semidirect
67. #2684	C₂²	semidirect
68. #2684	C₂²	semidirect
69. #2684	C₂²	semidirect
70. #2679	C₂²	semidirect
71. #2679	C₂²	semidirect
72. #2670	C₂²	semidirect
73. #2670	C₂²	semidirect
74. #2670	C₂²	semidirect
75. #2670	C₂²	semidirect
76. #2670	C₂²	semidirect
77. #2670	C₂²	semidirect
78. #2670	C₂²	semidirect
79. #2641	C₂²	semidirect
80. #2640	C₂²	semidirect
81. #2615	C₂²	semidirect
82. #2615	C₂²	semidirect
83. #2613	C₂²	semidirect
84. #2592	C₂²	semidirect
85. #2592	C₂²	semidirect
86. #2563	C₂²	semidirect
87. #2563	C₂²	semidirect
88. #2563	C₂²	semidirect
89. #2562	C₂²	semidirect
90. #2562	C₂²	semidirect
91. #2562	C₂²	semidirect
92. #2562	C₂²	semidirect
93. #2561	C₂²	semidirect
94. #2561	C₂²	semidirect
95. #2561	C₂²	semidirect
96. #2548	C₂²	semidirect
97. #2548	C₂²	semidirect
98. #2547	C₂²	semidirect
99. #2547	C₂²	semidirect
100. #2547	C₂²	semidirect
101. #2503	C₂²	semidirect
102. #2492	C₂²	semidirect
103. #2491	C₂²	semidirect
104. #2491	C₂²	semidirect
105. #2491	C₂²	semidirect
106. #2491	C₂²	semidirect
107. #2491	C₂²	semidirect
108. #2491	C₂²	semidirect
109. #2491	C₂²	semidirect
110. #2491	C₂²	semidirect
111. #2491	C₂²	semidirect
112. #2490	C₂²	semidirect
113. #2490	C₂²	semidirect
114. #2490	C₂²	semidirect
115. #2490	C₂²	semidirect
116. #2490	C₂²	semidirect
117. #2490	C₂²	semidirect
118. #2490	C₂²	semidirect
119. #2490	C₂²	semidirect
120. #2490	C₂²	semidirect
121. #2489	C₂²	semidirect
122. #2488	C₂²	semidirect
123. #2472	C₂²	semidirect
124. #2472	C₂²	semidirect
125. #2472	C₂²	semidirect
126. #2472	C₂²	semidirect
127. #2472	C₂²	semidirect
128. #2436	C₂²	semidirect
130. #2435	C₂²	semidirect
131. #2435	C₂²	semidirect
132. #2435	C₂²	semidirect
133. #2433	C₂²	semidirect
134. #2433	C₂²	semidirect
135. #2433	C₂²	semidirect
136. #2431	C₂²	semidirect
137. #2431	C₂²	semidirect
138. #2409	C₂²	semidirect
139. #2409	C₂²	semidirect
144. #2408	C₂²	semidirect
145. #2408	C₂²	semidirect
146. #2408	C₂²	semidirect
147. #2408	C₂²	semidirect
148. #2408	C₂²	semidirect
149. #2408	C₂²	semidirect
150. #2408	C₂²	semidirect
151. #2408	C₂²	semidirect
152. #2408	C₂²	semidirect
153. #2408	C₂²	semidirect
154. #2407	C₂²	semidirect
155. #2407	C₂²	semidirect
156. #2406	C₂²	semidirect
157. #2405	C₂²	semidirect
159. #2404	C₂²	semidirect
161. #2403	C₂²	semidirect
162. #2398	C₂²	semidirect
163. #2398	C₂²	semidirect
164. #2388	C₂²	semidirect
165. #2388	C₂²	semidirect
166. C₂×#394	C₂²	semidirect
168. #2375	C₂²	semidirect
169. #2375	C₂²	semidirect
170. #2311	C₂²	semidirect
171. #2311	C₂²	semidirect
172. #2309	C₂²	semidirect
173. #2309	C₂²	semidirect
174. C₄×#124	C₂²	semidirect
175. C₄×#124	C₂²	semidirect
176. C₄×#120	C₂²	semidirect
177. C₄×#120	C₂²	semidirect
178. #2297	C₂²	semidirect
179. C₂×#390	C₂²	semidirect
180. #2280	C₂²	semidirect
181. #2280	C₂²	semidirect
182. #2280	C₂²	semidirect
183. C₂×#380	C₂²	semidirect
184. C₂×#379	C₂²	semidirect
185. #2274	C₂²	semidirect
186. C₄×#117	C₂²	semidirect
192. C₂²×#41	C₂³	semidirect
193. C₂²×#41	C₂³	semidirect
194. C₂³×Q₈	C₂³	semidirect
206. C₂³×D₄	C₂³	semidirect
209. C₂⁴×C₄	C₂³	semidirect
215. C₂×C₄⋊Q₈	C₂³	semidirect
216. C₂×C₄⋊Q₈	C₂³	semidirect
217. C₂×C₄⋊Q₈	C₂³	semidirect
218. C₂×C₄⋊Q₈	C₂³	semidirect
221. C₂×#125	C₂³	semidirect
222. C₂×#125	C₂³	semidirect
223. C₂×#125	C₂³	semidirect
229. C₂×#124	C₂³	semidirect
230. C₂×#124	C₂³	semidirect
231. C₂×#124	C₂³	semidirect
232. C₂×#124	C₂³	semidirect
233. C₂×#124	C₂³	semidirect
234. C₂×#124	C₂³	semidirect
267. C₂×#120	C₂³	semidirect
268. C₂×#120	C₂³	semidirect
269. C₂×C₄×Q₈	C₂³	semidirect
270. C₂×C₄×Q₈	C₂³	semidirect
294. #400	C₂³	semidirect
295. #400	C₂³	semidirect
296. #400	C₂³	semidirect
297. #400	C₂³	semidirect
301. #397	C₂³	semidirect
302. #397	C₂³	semidirect
303. #397	C₂³	semidirect
304. #397	C₂³	semidirect
305. #397	C₂³	semidirect
306. #397	C₂³	semidirect
307. #397	C₂³	semidirect
308. #397	C₂³	semidirect
309. #397	C₂³	semidirect
310. #395	C₂³	semidirect
311. #395	C₂³	semidirect
324. #394	C₂³	semidirect
325. #394	C₂³	semidirect
326. #394	C₂³	semidirect
327. #394	C₂³	semidirect
328. #394	C₂³	semidirect
329. #394	C₂³	semidirect
330. #394	C₂³	semidirect
331. #394	C₂³	semidirect
332. #394	C₂³	semidirect
333. #394	C₂³	semidirect
334. #394	C₂³	semidirect
335. #394	C₂³	semidirect
336. #394	C₂³	semidirect
337. #394	C₂³	semidirect
338. #394	C₂³	semidirect
339. #394	C₂³	semidirect
345. #393	C₂³	semidirect
346. #393	C₂³	semidirect
347. #393	C₂³	semidirect
348. #393	C₂³	semidirect
349. #393	C₂³	semidirect
350. #393	C₂³	semidirect
351. #393	C₂³	semidirect
352. #393	C₂³	semidirect
353. #393	C₂³	semidirect
354. #393	C₂³	semidirect
355. #393	C₂³	semidirect
368. #392	C₂³	semidirect
369. #392	C₂³	semidirect
370. #392	C₂³	semidirect
371. #392	C₂³	semidirect
372. #392	C₂³	semidirect
373. #392	C₂³	semidirect
374. #391	C₂³	semidirect
375. #391	C₂³	semidirect
376. #391	C₂³	semidirect
377. #391	C₂³	semidirect
378. #391	C₂³	semidirect
379. #391	C₂³	semidirect
380. #391	C₂³	semidirect
396. #390	C₂³	semidirect
397. #390	C₂³	semidirect
398. #390	C₂³	semidirect
399. #390	C₂³	semidirect
400. #390	C₂³	semidirect
401. #390	C₂³	semidirect
402. #390	C₂³	semidirect
403. #390	C₂³	semidirect
404. #390	C₂³	semidirect
405. #390	C₂³	semidirect
410. #388	C₂³	semidirect
411. #388	C₂³	semidirect
412. #388	C₂³	semidirect
413. #388	C₂³	semidirect
414. #388	C₂³	semidirect
415. #388	C₂³	semidirect
416. #388	C₂³	semidirect
417. #388	C₂³	semidirect
418. #388	C₂³	semidirect
419. #388	C₂³	semidirect
420. #388	C₂³	semidirect
421. #388	C₂³	semidirect
422. #388	C₂³	semidirect
423. #388	C₂³	semidirect
424. #388	C₂³	semidirect
425. #388	C₂³	semidirect
434. #386	C₂³	semidirect
435. #386	C₂³	semidirect
436. #386	C₂³	semidirect
437. #386	C₂³	semidirect
438. #386	C₂³	semidirect
439. #386	C₂³	semidirect
440. #385	C₂³	semidirect
441. #385	C₂³	semidirect
442. #385	C₂³	semidirect
443. #385	C₂³	semidirect
444. #382	C₂³	semidirect
445. #382	C₂³	semidirect
446. #382	C₂³	semidirect
458. #380	C₂³	semidirect
459. #380	C₂³	semidirect
460. #380	C₂³	semidirect
461. #380	C₂³	semidirect
462. #380	C₂³	semidirect
463. #380	C₂³	semidirect
464. #380	C₂³	semidirect
465. #380	C₂³	semidirect
466. #380	C₂³	semidirect
467. #380	C₂³	semidirect
468. #380	C₂³	semidirect
482. #379	C₂³	semidirect
483. #379	C₂³	semidirect
484. C₄×C₄⋊C₄	C₂³	semidirect
485. C₄×C₄⋊C₄	C₂³	semidirect
486. C₄×C₄⋊C₄	C₂³	semidirect
487. C₄×C₄⋊C₄	C₂³	semidirect
488. C₄×C₄⋊C₄	C₂³	semidirect
489. C₄×C₄⋊C₄	C₂³	semidirect
490. C₄×C₄⋊C₄	C₂³	semidirect
496. C₄×C₂²⋊C₄	C₂³	semidirect
497. C₄×C₂²⋊C₄	C₂³	semidirect
498. C₄×C₂²⋊C₄	C₂³	semidirect
499. C₄×C₂²⋊C₄	C₂³	semidirect
500. C₄×C₂²⋊C₄	C₂³	semidirect
501. C₄×C₂²⋊C₄	C₂³	semidirect
502. #376	C₂³	semidirect
504. C₄³	C₂³	semidirect
1219. C₂×C₄	H(3,𝔽₄)	semidirect

Maximal subgroups

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

subgroup	index
#53116	2
#53015	2
#52990	2
#52986	2
#52967	2
#52367	2
#52310	2
#46073	2
#46054	2
#45996	2
#45645	2
#45479	2
#45458	2
#45439	2
#35584	2
#35556	2
#35542	2
#35264	2
#35250	2
#35222	2
#34946	2
#34736	2
C₂×#2408	2