Subgroups — #63017

Order 256.

3674 conjugacy classes of subgroups.

The subgroup lattice has 1204 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3562	C₂	1	2	yes	maximal, complemented
2	#3561	C₂	1	2	yes	maximal, complemented
3	#3560	C₂	1	4	yes	maximal, complemented
4	#3551	C₂	1	1	yes	maximal, characteristic, complemented
5	#3545	C₂	1	2	yes	maximal, complemented
6	#3542	C₂	1	2	yes	maximal, complemented
7	#3540	C₂	1	1	yes	maximal, characteristic, complemented
8	#3538	C₂	1	1	yes	maximal, characteristic, complemented
9	#3535	C₂	1	4	yes	maximal, complemented
10	#3534	C₂	1	4	yes	maximal, complemented
11	#3533	C₂	1	2	yes	maximal, complemented
12	#3532	C₂	1	2	yes	maximal, complemented
13	#3521	C₂	1	2	yes	maximal, complemented
14	#3520	C₂	1	2	yes	maximal, complemented
15	#3514	C₂	1	2	yes	maximal, complemented
16	#3513	C₂	1	2	yes	maximal, complemented
17	#3513	C₂	1	4	yes	maximal, complemented
18	#3505	C₂	1	2	yes	maximal, complemented
19	#3500	C₂	1	1	yes	maximal, characteristic, complemented
20	#3494	C₂	1	4	yes	maximal, complemented
21	#3490	C₂	1	4	yes	maximal, complemented
22	#3489	C₂	1	2	yes	maximal, complemented
23	#3485	C₂	1	1	yes	maximal, characteristic, complemented
24	#3484	C₂	1	1	yes	maximal, characteristic, complemented
25	#3481	C₂	1	1	yes	maximal, characteristic, complemented
26	#3475	C₂	1	2	yes	maximal, complemented
27	C₂×#551	C₂	1	2	yes	maximal, complemented
28	D₄×#41	C₂	1	2	yes	maximal, complemented
29	C₂×#546	C₂	1	2	yes	maximal, complemented
30	C₂×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
31	C₂×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#41	C₂²	1	2	yes	complemented
33	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
35	#563	C₂²	1	2	yes	complemented
36	#563	C₂²	1	2	yes	complemented
37	#563	C₂²	1	2	yes	complemented
38	#563	C₂²	1	4	yes	complemented
39	#562	C₂²	1	4	yes	complemented
40	#562	C₂²	1	4	yes	complemented
41	#562	C₂²	1	4	yes	complemented
42	H(3,𝔽₄)	C₂²	1	2	yes	complemented
43	#560	C₂²	1	4	yes	complemented
44	#560	C₂²	1	2	yes	complemented
45	#560	C₂²	1	4	yes	complemented
46	#560	C₂²	1	2	yes	complemented
47	#559	C₂²	1	1	yes	characteristic, complemented
48	#559	C₂²	1	2	yes	complemented
49	#559	C₂²	1	2	yes	complemented
50	#556	C₂²	1	2	yes	complemented
51	#556	C₂²	1	2	yes	complemented
52	#556	C₂²	1	2	yes	complemented
53	#555	C₂²	1	2	yes	complemented
54	#555	C₂²	1	2	yes	complemented
55	#555	C₂²	1	4	yes	complemented
56	#554	C₂²	1	2	yes	complemented
57	#554	C₂²	1	4	yes	complemented
58	#554	C₂²	1	2	yes	complemented
59	#553	C₂²	1	2	yes	complemented
60	#553	C₂²	1	2	yes	complemented
61	#553	C₂²	1	4	yes	complemented
62	#553	C₂²	1	4	yes	complemented
63	#553	C₂²	1	4	yes	complemented
64	#553	C₂²	1	2	yes	complemented
65	#553	C₂²	1	2	yes	complemented
66	#553	C₂²	1	4	yes	complemented
67	#553	C₂²	1	4	yes	complemented
68	#553	C₂²	1	4	yes	complemented
69	#552	C₂²	1	2	yes	complemented
70	#552	C₂²	1	2	yes	complemented
71	#552	C₂²	1	2	yes	complemented
72	#552	C₂²	1	2	yes	complemented
73	#552	C₂²	1	4	yes	complemented
74	#552	C₂²	1	4	yes	complemented
75	#551	C₂²	1	1	yes	characteristic, complemented
76	#551	C₂²	1	4	yes	complemented
77	#551	C₂²	1	2	yes	complemented
78	#551	C₂²	1	2	yes	complemented
79	#551	C₂²	1	4	yes	complemented
80	#551	C₂²	1	4	yes	complemented
81	#551	C₂²	1	4	yes	complemented
82	#551	C₂²	1	4	yes	complemented
83	#551	C₂²	1	4	yes	complemented
84	#551	C₂²	1	4	yes	complemented
85	#551	C₂²	1	2	yes	complemented
86	#551	C₂²	1	4	yes	complemented
87	#551	C₂²	1	4	yes	complemented
88	#551	C₂²	1	4	yes	complemented
89	#551	C₂²	1	4	yes	complemented
90	#551	C₂²	1	2	yes	complemented
91	#551	C₂²	1	2	yes	complemented
92	#551	C₂²	1	4	yes	complemented
93	#551	C₂²	1	4	yes	complemented
94	#551	C₂²	1	4	yes	complemented
95	#551	C₂²	1	1	yes	characteristic, complemented
96	#551	C₂²	1	4	yes	complemented
97	#551	C₂²	1	4	yes	complemented
98	#550	C₂²	1	2	yes	complemented
99	D₄×Q₈	C₂²	1	2	yes	complemented
100	D₄×Q₈	C₂²	1	2	yes	complemented
101	D₄×Q₈	C₂²	1	2	yes	complemented
102	#548	C₂²	1	2	yes	complemented
103	#548	C₂²	1	2	yes	complemented
104	#548	C₂²	1	2	yes	complemented
105	#548	C₂²	1	2	yes	complemented
106	#548	C₂²	1	2	yes	complemented
107	#548	C₂²	1	2	yes	complemented
108	#547	C₂²	1	2	yes	complemented
109	#547	C₂²	1	2	yes	complemented
110	#547	C₂²	1	2	yes	complemented
111	#547	C₂²	1	2	yes	complemented
112	#547	C₂²	1	4	yes	complemented
113	#547	C₂²	1	4	yes	complemented
114	#547	C₂²	1	4	yes	complemented
115	#547	C₂²	1	4	yes	complemented
116	#546	C₂²	1	2	yes	complemented
117	#546	C₂²	1	2	yes	complemented
118	#546	C₂²	1	2	yes	complemented
119	#546	C₂²	1	4	yes	complemented
120	#546	C₂²	1	2	yes	complemented
121	#546	C₂²	1	2	yes	complemented
122	#546	C₂²	1	4	yes	complemented
123	#546	C₂²	1	4	yes	complemented
124	#546	C₂²	1	2	yes	complemented
125	#546	C₂²	1	2	yes	complemented
126	#546	C₂²	1	4	yes	complemented
127	#546	C₂²	1	2	yes	complemented
128	#546	C₂²	1	2	yes	complemented
129	#546	C₂²	1	2	yes	complemented
130	#546	C₂²	1	4	yes	complemented
131	#546	C₂²	1	2	yes	complemented
132	#546	C₂²	1	4	yes	complemented
133	#546	C₂²	1	4	yes	complemented
134	#546	C₂²	1	4	yes	complemented
135	#546	C₂²	1	4	yes	complemented
136	#546	C₂²	1	2	yes	complemented
137	#546	C₂²	1	4	yes	complemented
138	#546	C₂²	1	4	yes	complemented
139	#546	C₂²	1	4	yes	complemented
140	#546	C₂²	1	4	yes	complemented
141	#546	C₂²	1	4	yes	complemented
142	#546	C₂²	1	2	yes	complemented
143	#546	C₂²	1	4	yes	complemented
144	#546	C₂²	1	4	yes	complemented
145	#546	C₂²	1	2	yes	complemented
146	D₄²	C₂²	1	2	yes	complemented
147	D₄²	C₂²	1	1	yes	characteristic, complemented
148	D₄²	C₂²	1	4	yes	complemented
149	D₄²	C₂²	1	2	yes	complemented
150	D₄²	C₂²	1	4	yes	complemented
151	#544	C₂²	1	4	yes	complemented
152	#543	C₂²	1	4	yes	complemented
153	#542	C₂²	1	4	yes	complemented
154	#542	C₂²	1	2	yes	complemented
155	#542	C₂²	1	2	yes	complemented
156	#542	C₂²	1	4	yes	complemented
157	#542	C₂²	1	4	yes	complemented
158	#542	C₂²	1	4	yes	complemented
159	#542	C₂²	1	4	yes	complemented
160	#541	C₂²	1	2	yes	complemented
161	#540	C₂²	1	2	yes	complemented
162	#540	C₂²	1	4	yes	complemented
163	#540	C₂²	1	4	yes	complemented
164	#540	C₂²	1	4	yes	complemented
165	#539	C₂²	1	4	yes	complemented
166	#539	C₂²	1	4	yes	complemented
167	#539	C₂²	1	4	yes	complemented
168	#539	C₂²	1	4	yes	complemented
169	#539	C₂²	1	4	yes	complemented
170	#539	C₂²	1	4	yes	complemented
171	#539	C₂²	1	4	yes	complemented
172	#538	C₂²	1	4	yes	complemented
173	#538	C₂²	1	4	yes	complemented
174	#538	C₂²	1	4	yes	complemented
175	#538	C₂²	1	4	yes	complemented
176	#538	C₂²	1	4	yes	complemented
177	#538	C₂²	1	4	yes	complemented
178	#538	C₂²	1	4	yes	complemented
179	#538	C₂²	1	4	yes	complemented
180	#538	C₂²	1	4	yes	complemented
181	#538	C₂²	1	4	yes	complemented
182	#538	C₂²	1	4	yes	complemented
183	#537	C₂²	1	4	yes	complemented
184	#537	C₂²	1	2	yes	complemented
185	#536	C₂²	1	1	yes	characteristic, complemented
186	#536	C₂²	1	1	yes	characteristic, complemented
187	#536	C₂²	1	4	yes	complemented
188	#536	C₂²	1	2	yes	complemented
189	#536	C₂²	1	1	yes	characteristic, complemented
190	#536	C₂²	1	2	yes	complemented
191	#535	C₂²	1	1	yes	characteristic, complemented
192	#535	C₂²	1	1	yes	characteristic, complemented
193	#535	C₂²	1	4	yes	complemented
194	#535	C₂²	1	2	yes	complemented
195	#535	C₂²	1	1	yes	characteristic, complemented
196	#534	C₂²	1	2	yes	complemented
197	#534	C₂²	1	2	yes	complemented
198	#534	C₂²	1	4	yes	complemented
199	#534	C₂²	1	4	yes	complemented
200	#534	C₂²	1	2	yes	complemented
201	#534	C₂²	1	2	yes	complemented
202	#533	C₂²	1	2	yes	complemented
203	#532	C₂²	1	1	yes	characteristic, complemented
204	#532	C₂²	1	4	yes	complemented
205	#532	C₂²	1	2	yes	complemented
206	#532	C₂²	1	2	yes	complemented
207	#529	C₂²	1	2	yes	complemented
208	#529	C₂²	1	2	yes	complemented
209	#529	C₂²	1	2	yes	complemented
210	#529	C₂²	1	4	yes	complemented
211	#529	C₂²	1	4	yes	complemented
212	#529	C₂²	1	4	yes	complemented
213	#529	C₂²	1	2	yes	complemented
214	#529	C₂²	1	2	yes	complemented
215	#529	C₂²	1	2	yes	complemented
216	C₂×#126	C₂²	1	4	yes	complemented
217	C₂×#124	C₂²	1	2	yes	complemented
218	C₂×#124	C₂²	1	2	yes	complemented
219	C₂×#124	C₂²	1	1	yes	characteristic, complemented
220	#525	C₂²	1	1	yes	characteristic
221	#525	C₂²	1	1	yes	characteristic, complemented
222	#525	C₂²	1	4	yes	complemented
223	#525	C₂²	1	4	yes	complemented
224	#525	C₂²	1	4	yes	complemented
225	#525	C₂²	1	2	yes	complemented
226	#525	C₂²	1	2	yes	complemented
227	#525	C₂²	1	4	yes	complemented
228	#525	C₂²	1	1	yes	characteristic, complemented
229	#525	C₂²	1	4	yes	complemented
230	#525	C₂²	1	2	yes	complemented
231	#525	C₂²	1	1	yes	characteristic, complemented
232	C₂×#123	C₂²	1	4	yes	complemented
233	C₂×#123	C₂²	1	2	yes	complemented
234	C₂×#123	C₂²	1	4	yes	complemented
235	C₂×#123	C₂²	1	2	yes	complemented
236	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
237	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
238	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
239	C₂×#121	C₂²	1	4	yes	complemented
240	C₂×#121	C₂²	1	2	yes	complemented
241	C₂×#120	C₂²	1	2	yes	—
242	C₂×#120	C₂²	1	4	yes	complemented
243	C₂×#120	C₂²	1	2	yes	complemented
244	#520	C₂²	1	4	yes	complemented
245	#520	C₂²	1	2	yes	complemented
246	#518	C₂²	1	1	yes	characteristic, complemented
247	#518	C₂²	1	4	yes	complemented
248	#518	C₂²	1	4	yes	complemented
249	#518	C₂²	1	1	yes	characteristic, complemented
250	C₄×#41	C₂²	1	2	yes	complemented
251	C₄×#41	C₂²	1	2	yes	complemented
252	C₄×#41	C₂²	1	1	yes	characteristic, complemented
253	C₂×C₄×D₄	C₂²	1	2	yes	complemented
254	C₂×C₄×D₄	C₂²	1	2	yes	complemented
255	C₂×C₄×D₄	C₂²	1	4	yes	complemented
256	C₂×C₄×D₄	C₂²	1	2	yes	complemented
257	C₂×#117	C₂²	1	4	yes	complemented
258	C₂²×C₂²⋊C₄	C₂²	1	4	yes	complemented
259	C₂⁵	C₂³	1	2	yes	—
260	2₋¹⁺⁴	—	4	4	no	—
261	H(5,𝔽₂)	—	4	4	no	—
262	C₂×#41	—	4	8	no	—
263	C₂×#41	—	4	4	no	—
264	C₂×#41	C₂³	1	2	yes	—
265	C₂×#41	C₂³	1	1	yes	characteristic
266	C₂×#41	C₂³	1	2	yes	—
267	C₂×#41	C₂³	1	2	yes	—
268	C₂×#41	C₂³	1	4	yes	—
269	C₂×#41	C₂³	1	1	yes	characteristic
270	C₂×#41	C₂³	1	4	yes	—
271	C₂×#41	C₂³	1	2	yes	—
272	C₂×#41	C₂³	1	1	yes	characteristic
273	C₂×#41	C₂³	1	1	yes	characteristic
274	C₂×#41	C₂³	1	2	yes	—
275	C₂×#41	C₂³	1	4	yes	—
276	C₂×#41	C₂³	1	2	yes	—
277	C₂×#41	C₂³	1	1	yes	characteristic, complemented
278	C₂×#41	C₂³	1	4	yes	complemented
279	C₂×#41	C₂³	1	2	yes	complemented
280	C₂×#41	C₂³	1	4	yes	complemented
281	C₂×#41	C₂³	1	2	yes	complemented
282	C₂²×Q₈	C₂³	1	2	yes	—
283	C₂²×Q₈	C₂³	1	2	yes	complemented
284	C₂²×Q₈	C₂³	1	2	yes	complemented
285	C₂²×Q₈	C₂³	1	1	yes	characteristic, complemented
286	C₂²×Q₈	C₂³	1	1	yes	characteristic, complemented
287	C₂²×D₄	—	4	4	no	—
288	C₂²×D₄	C₂³	1	2	yes	—
289	C₂²×D₄	C₂³	1	1	yes	characteristic
290	C₂²×D₄	C₂³	1	1	yes	characteristic
291	C₂²×D₄	C₂³	1	4	yes	—
292	C₂²×D₄	C₂³	1	2	yes	—
293	C₂²×D₄	C₂³	1	2	yes	—
294	C₂²×D₄	C₂³	1	4	yes	—
295	C₂²×D₄	C₂³	1	4	yes	—
296	C₂²×D₄	C₂³	1	2	yes	—
297	C₂²×D₄	C₂³	1	4	yes	—
298	C₂²×D₄	C₂³	1	2	yes	—
299	C₂²×D₄	C₂³	1	4	yes	—
300	C₂²×D₄	C₂³	1	2	yes	—
301	C₂²×D₄	C₂³	1	2	yes	—
302	C₂²×D₄	C₂³	1	1	yes	characteristic
303	C₂²×D₄	C₂³	1	2	yes	—
304	C₂²×D₄	C₂³	1	1	yes	characteristic
305	C₂²×D₄	C₂³	1	2	yes	complemented
306	C₂³×C₄	C₂³	1	4	yes	—
307	C₂³×C₄	C₂³	1	4	yes	—
308	C₂³×C₄	C₂³	1	2	yes	—
309	C₂³×C₄	C₂³	1	1	yes	characteristic
310	C₂³×C₄	C₂³	1	2	yes	complemented
311	C₂³×C₄	C₂³	1	1	yes	characteristic, complemented
312	C₄⋊Q₈	C₂³	1	2	yes	complemented
313	C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
314	C₄⋊Q₈	C₂³	1	2	yes	complemented
315	C₄⋊Q₈	C₂³	1	4	yes	complemented
316	C₄⋊Q₈	C₂³	1	2	yes	complemented
317	C₄⋊Q₈	C₂³	1	2	yes	complemented
318	C₄⋊Q₈	C₂³	1	4	yes	complemented
319	C₄⋊Q₈	C₂³	1	4	yes	complemented
320	C₄⋊Q₈	C₂³	1	2	yes	complemented
321	#127	C₂³	1	1	yes	characteristic
322	#127	C₂³	1	2	yes	—
323	#127	C₂³	1	2	yes	—
324	#127	C₂³	1	2	yes	complemented
325	#127	C₂³	1	4	yes	complemented
326	#126	C₂³	1	2	yes	—
327	#126	C₂³	1	4	yes	—
328	#126	C₂³	1	4	yes	—
329	#126	C₂³	1	4	yes	—
330	#126	C₂³	1	4	yes	—
331	#126	C₂³	1	4	yes	complemented
332	#126	C₂³	1	4	yes	complemented
333	#126	C₂³	1	4	yes	complemented
334	#126	C₂³	1	4	yes	complemented
335	#126	C₂³	1	2	yes	complemented
336	#126	C₂³	1	4	yes	complemented
337	#126	C₂³	1	4	yes	complemented
338	#126	C₂³	1	4	yes	complemented
339	#126	C₂³	1	4	yes	complemented
340	#126	C₂³	1	4	yes	complemented
341	#126	C₂³	1	4	yes	complemented
342	#126	C₂³	1	4	yes	complemented
343	#126	C₂³	1	2	yes	complemented
344	#126	C₂³	1	2	yes	complemented
345	#126	C₂³	1	4	yes	complemented
346	#126	C₂³	1	4	yes	complemented
347	#126	C₂³	1	4	yes	complemented
348	#126	C₂³	1	4	yes	complemented
349	#126	C₂³	1	4	yes	complemented
350	#125	C₂³	1	2	yes	complemented
351	#125	C₂³	1	4	yes	complemented
352	#125	C₂³	1	4	yes	complemented
353	#125	C₂³	1	2	yes	complemented
354	#125	C₂³	1	2	yes	complemented
355	#125	C₂³	1	2	yes	complemented
356	#125	C₂³	1	4	yes	complemented
357	#125	C₂³	1	4	yes	complemented
358	#125	C₂³	1	4	yes	complemented
359	#125	C₂³	1	4	yes	complemented
360	#125	C₂³	1	4	yes	complemented
361	#124	C₂³	1	2	yes	—
362	#124	C₂³	1	1	yes	characteristic
363	#124	C₂³	1	2	yes	—
364	#124	C₂³	1	2	yes	—
365	#124	C₂³	1	2	yes	—
366	#124	C₂³	1	2	yes	—
367	#124	C₂³	1	4	yes	—
368	#124	C₂³	1	4	yes	—
369	#124	C₂³	1	4	yes	—
370	#124	C₂³	1	2	yes	—
371	#124	C₂³	1	2	yes	—
372	#124	C₂³	1	2	yes	—
373	#124	C₂³	1	2	yes	—
374	#124	C₂³	1	4	yes	—
375	#124	C₂³	1	2	yes	complemented
376	#124	C₂³	1	2	yes	complemented
377	#124	C₂³	1	2	yes	complemented
378	#124	C₂³	1	2	yes	complemented
379	#124	C₂³	1	4	yes	complemented
380	#124	C₂³	1	4	yes	complemented
381	#124	C₂³	1	4	yes	complemented
382	#124	C₂³	1	4	yes	complemented
383	#124	C₂³	1	2	yes	complemented
384	#124	C₂³	1	1	yes	characteristic, complemented
385	#124	C₂³	1	4	yes	complemented
386	#124	C₂³	1	4	yes	complemented
387	#124	C₂³	1	4	yes	complemented
388	#124	C₂³	1	4	yes	complemented
389	#124	C₂³	1	4	yes	complemented
390	#124	C₂³	1	4	yes	complemented
391	#123	C₂³	1	1	yes	characteristic
392	#123	C₂³	1	4	yes	—
393	#123	C₂³	1	2	yes	—
394	#123	C₂³	1	4	yes	—
395	#123	C₂³	1	4	yes	—
396	#123	C₂³	1	2	yes	—
397	#123	C₂³	1	4	yes	—
398	#123	C₂³	1	4	yes	—
399	#123	C₂³	1	4	yes	—
400	#123	C₂³	1	4	yes	—
401	#123	C₂³	1	4	yes	—
402	#123	C₂³	1	4	yes	—
403	#123	C₂³	1	4	yes	—
404	#123	C₂³	1	4	yes	—
405	#123	C₂³	1	4	yes	—
406	#123	C₂³	1	1	yes	characteristic
407	#123	C₂³	1	1	yes	characteristic
408	#123	C₂³	1	2	yes	—
409	#123	C₂³	1	2	yes	—
410	#123	C₂³	1	4	yes	—
411	#123	C₂³	1	4	yes	—
412	#123	C₂³	1	4	yes	—
413	#123	C₂³	1	2	yes	—
414	#123	C₂³	1	4	yes	—
415	#123	C₂³	1	2	yes	—
416	#123	C₂³	1	4	yes	—
417	#123	C₂³	1	2	yes	complemented
418	#123	C₂³	1	1	yes	characteristic, complemented
419	#123	C₂³	1	4	yes	complemented
420	#123	C₂³	1	2	yes	complemented
421	#123	C₂³	1	2	yes	complemented
422	#123	C₂³	1	2	yes	complemented
423	#123	C₂³	1	4	yes	complemented
424	#123	C₂³	1	4	yes	complemented
425	#123	C₂³	1	4	yes	complemented
426	#123	C₂³	1	4	yes	complemented
427	#123	C₂³	1	4	yes	complemented
428	#123	C₂³	1	4	yes	complemented
429	#123	C₂³	1	4	yes	complemented
430	#123	C₂³	1	4	yes	complemented
431	#123	C₂³	1	2	yes	complemented
432	#123	C₂³	1	4	yes	complemented
433	#123	C₂³	1	4	yes	complemented
434	#123	C₂³	1	2	yes	complemented
435	#123	C₂³	1	4	yes	complemented
436	#123	C₂³	1	4	yes	complemented
437	#123	C₂³	1	4	yes	complemented
438	#123	C₂³	1	4	yes	complemented
439	#123	C₂³	1	2	yes	complemented
440	#123	C₂³	1	4	yes	complemented
441	#123	C₂³	1	4	yes	complemented
442	#123	C₂³	1	4	yes	complemented
443	#123	C₂³	1	4	yes	complemented
444	#123	C₂³	1	4	yes	complemented
445	#123	C₂³	1	2	yes	complemented
446	#123	C₂³	1	4	yes	complemented
447	#123	C₂³	1	4	yes	complemented
448	#123	C₂³	1	4	yes	complemented
449	C₂²⋊Q₈	C₂³	1	2	yes	—
450	C₂²⋊Q₈	C₂³	1	4	yes	—
451	C₂²⋊Q₈	C₂³	1	2	yes	—
452	C₂²⋊Q₈	C₂³	1	2	yes	—
453	C₂²⋊Q₈	C₂³	1	2	yes	—
454	C₂²⋊Q₈	C₂³	1	2	yes	—
455	C₂²⋊Q₈	C₂³	1	2	yes	—
456	C₂²⋊Q₈	C₂³	1	4	yes	—
457	C₂²⋊Q₈	C₂³	1	4	yes	—
458	C₂²⋊Q₈	C₂³	1	4	yes	—
459	C₂²⋊Q₈	C₂³	1	4	yes	—
460	C₂²⋊Q₈	C₂³	1	2	yes	—
461	C₂²⋊Q₈	C₂³	1	4	yes	—
462	C₂²⋊Q₈	C₂³	1	2	yes	—
463	C₂²⋊Q₈	C₂³	1	4	yes	—
464	C₂²⋊Q₈	C₂³	1	2	yes	complemented
465	C₂²⋊Q₈	C₂³	1	2	yes	complemented
466	C₂²⋊Q₈	C₂³	1	4	yes	complemented
467	C₂²⋊Q₈	C₂³	1	4	yes	complemented
468	C₂²⋊Q₈	C₂³	1	4	yes	complemented
469	C₂²⋊Q₈	C₂³	1	4	yes	complemented
470	C₂²⋊Q₈	C₂³	1	4	yes	complemented
471	C₂²⋊Q₈	C₂³	1	4	yes	complemented
472	C₂²⋊Q₈	C₂³	1	4	yes	complemented
473	C₂²⋊Q₈	C₂³	1	2	yes	complemented
474	C₂²⋊Q₈	C₂³	1	2	yes	complemented
475	C₂²⋊Q₈	C₂³	1	2	yes	complemented
476	C₂²⋊Q₈	C₂³	1	4	yes	complemented
477	C₂²⋊Q₈	C₂³	1	4	yes	complemented
478	C₂²⋊Q₈	C₂³	1	4	yes	complemented
479	C₂²⋊Q₈	C₂³	1	4	yes	complemented
480	C₂²⋊Q₈	C₂³	1	4	yes	complemented
481	C₂²⋊Q₈	C₂³	1	4	yes	complemented
482	C₂²⋊Q₈	C₂³	1	2	yes	complemented
483	C₂²⋊Q₈	C₂³	1	2	yes	complemented
484	C₂²⋊Q₈	C₂³	1	4	yes	complemented
485	C₂²⋊Q₈	C₂³	1	2	yes	complemented
486	C₂²⋊Q₈	C₂³	1	4	yes	complemented
487	C₂²⋊Q₈	C₂³	1	4	yes	complemented
488	C₂²⋊Q₈	C₂³	1	4	yes	complemented
489	C₂²⋊Q₈	C₂³	1	4	yes	complemented
490	C₂²⋊Q₈	C₂³	1	4	yes	complemented
491	C₂²⋊Q₈	C₂³	1	4	yes	complemented
492	C₂²⋊Q₈	C₂³	1	4	yes	complemented
493	C₂²⋊Q₈	C₂³	1	4	yes	complemented
494	#121	C₂³	1	2	yes	—
495	#121	C₂³	1	2	yes	—
496	#121	C₂³	1	4	yes	—
497	#121	C₂³	1	4	yes	—
498	#121	C₂³	1	4	yes	—
499	#121	C₂³	1	2	yes	—
500	#121	C₂³	1	4	yes	—
501	#121	C₂³	1	2	yes	—
502	#121	C₂³	1	4	yes	—
503	#121	C₂³	1	4	yes	—
504	#121	C₂³	1	4	yes	—
505	#121	C₂³	1	4	yes	—
506	#121	C₂³	1	4	yes	—
507	#121	C₂³	1	4	yes	—
508	#121	C₂³	1	2	yes	—
509	#121	C₂³	1	2	yes	—
510	#121	C₂³	1	2	yes	—
511	#121	C₂³	1	2	yes	—
512	#121	C₂³	1	2	yes	—
513	#121	C₂³	1	4	yes	—
514	#121	C₂³	1	4	yes	—
515	#121	C₂³	1	2	yes	—
516	#121	C₂³	1	2	yes	—
517	#121	C₂³	1	2	yes	—
518	#121	C₂³	1	4	yes	—
519	#121	C₂³	1	2	yes	—
520	#121	C₂³	1	4	yes	—
521	#121	C₂³	1	4	yes	—
522	#121	C₂³	1	4	yes	—
523	#121	C₂³	1	4	yes	—
524	#121	C₂³	1	4	yes	—
525	#121	C₂³	1	4	yes	complemented
526	#121	C₂³	1	4	yes	complemented
527	#121	C₂³	1	4	yes	complemented
528	#121	C₂³	1	4	yes	complemented
529	#121	C₂³	1	4	yes	complemented
530	#121	C₂³	1	4	yes	complemented
531	#121	C₂³	1	2	yes	complemented
532	#121	C₂³	1	2	yes	complemented
533	#121	C₂³	1	4	yes	complemented
534	#121	C₂³	1	4	yes	complemented
535	#121	C₂³	1	4	yes	complemented
536	#121	C₂³	1	4	yes	complemented
537	#121	C₂³	1	4	yes	complemented
538	#121	C₂³	1	2	yes	complemented
539	#121	C₂³	1	4	yes	complemented
540	#121	C₂³	1	4	yes	complemented
541	#121	C₂³	1	4	yes	complemented
542	#121	C₂³	1	4	yes	complemented
543	#121	C₂³	1	4	yes	complemented
544	#121	C₂³	1	4	yes	complemented
545	#121	C₂³	1	4	yes	complemented
546	#121	C₂³	1	4	yes	complemented
547	#121	C₂³	1	4	yes	complemented
548	#120	C₂³	1	1	yes	characteristic
549	#120	C₂³	1	2	yes	—
550	#120	C₂³	1	2	yes	—
551	#120	C₂³	1	2	yes	—
552	#120	C₂³	1	4	yes	—
553	#120	C₂³	1	4	yes	—
554	#120	C₂³	1	1	yes	characteristic
555	#120	C₂³	1	4	yes	—
556	#120	C₂³	1	4	yes	—
557	#120	C₂³	1	4	yes	—
558	#120	C₂³	1	4	yes	—
559	#120	C₂³	1	2	yes	—
560	#120	C₂³	1	2	yes	—
561	#120	C₂³	1	4	yes	—
562	#120	C₂³	1	4	yes	—
563	#120	C₂³	1	4	yes	—
564	#120	C₂³	1	4	yes	—
565	#120	C₂³	1	4	yes	—
566	#120	C₂³	1	4	yes	—
567	#120	C₂³	1	1	yes	characteristic
568	#120	C₂³	1	2	yes	—
569	#120	C₂³	1	4	yes	—
570	#120	C₂³	1	4	yes	—
571	#120	C₂³	1	2	yes	—
572	#120	C₂³	1	4	yes	—
573	#120	C₂³	1	2	yes	complemented
574	#120	C₂³	1	1	yes	characteristic, complemented
575	#120	C₂³	1	4	yes	complemented
576	#120	C₂³	1	4	yes	complemented
577	#120	C₂³	1	4	yes	complemented
578	#120	C₂³	1	4	yes	complemented
579	C₄×Q₈	C₂³	1	2	yes	complemented
580	C₄×Q₈	C₂³	1	2	yes	complemented
581	C₄×Q₈	C₂³	1	2	yes	complemented
582	C₄×Q₈	C₂³	1	2	yes	complemented
583	C₄×Q₈	C₂³	1	2	yes	complemented
584	C₄×Q₈	C₂³	1	4	yes	complemented
585	C₄×Q₈	C₂³	1	2	yes	complemented
586	C₄×Q₈	C₂³	1	2	yes	complemented
587	C₄×Q₈	C₂³	1	4	yes	complemented
588	C₄×D₄	C₂³	1	2	yes	—
589	C₄×D₄	C₂³	1	2	yes	—
590	C₄×D₄	C₂³	1	2	yes	—
591	C₄×D₄	C₂³	1	2	yes	—
592	C₄×D₄	C₂³	1	4	yes	—
593	C₄×D₄	C₂³	1	2	yes	—
594	C₄×D₄	C₂³	1	2	yes	—
595	C₄×D₄	C₂³	1	4	yes	—
596	C₄×D₄	C₂³	1	2	yes	—
597	C₄×D₄	C₂³	1	2	yes	—
598	C₄×D₄	C₂³	1	2	yes	—
599	C₄×D₄	C₂³	1	4	yes	—
600	C₄×D₄	C₂³	1	2	yes	—
601	C₄×D₄	C₂³	1	2	yes	—
602	C₄×D₄	C₂³	1	4	yes	—
603	C₄×D₄	C₂³	1	4	yes	—
604	C₄×D₄	C₂³	1	2	yes	—
605	C₄×D₄	C₂³	1	2	yes	—
606	C₄×D₄	C₂³	1	2	yes	—
607	C₄×D₄	C₂³	1	2	yes	—
608	C₄×D₄	C₂³	1	2	yes	—
609	C₄×D₄	C₂³	1	2	yes	—
610	C₄×D₄	C₂³	1	2	yes	—
611	C₄×D₄	C₂³	1	2	yes	—
612	C₄×D₄	C₂³	1	4	yes	—
613	C₄×D₄	C₂³	1	4	yes	—
614	C₄×D₄	C₂³	1	4	yes	—
615	C₄×D₄	C₂³	1	2	yes	—
616	C₄×D₄	C₂³	1	4	yes	—
617	C₄×D₄	C₂³	1	4	yes	—
618	C₄×D₄	C₂³	1	4	yes	complemented
619	C₄×D₄	C₂³	1	2	yes	complemented
620	C₄×D₄	C₂³	1	2	yes	complemented
621	C₄×D₄	C₂³	1	2	yes	complemented
622	C₄×D₄	C₂³	1	4	yes	complemented
623	C₄×D₄	C₂³	1	2	yes	complemented
624	C₄×D₄	C₂³	1	4	yes	complemented
625	C₄×D₄	C₂³	1	4	yes	complemented
626	C₄×D₄	C₂³	1	2	yes	complemented
627	C₄×D₄	C₂³	1	4	yes	complemented
628	C₄×D₄	C₂³	1	4	yes	complemented
629	C₄×D₄	C₂³	1	2	yes	complemented
630	C₄×D₄	C₂³	1	4	yes	complemented
631	C₄×D₄	C₂³	1	4	yes	complemented
632	C₄×D₄	C₂³	1	4	yes	complemented
633	C₄×D₄	C₂³	1	4	yes	complemented
634	C₄×D₄	C₂³	1	4	yes	complemented
635	C₄×D₄	C₂³	1	4	yes	complemented
636	C₄×D₄	C₂³	1	4	yes	complemented
637	C₄×D₄	C₂³	1	4	yes	complemented
638	C₄×D₄	C₂³	1	4	yes	complemented
639	C₄×D₄	C₂³	1	4	yes	complemented
640	C₄×D₄	C₂³	1	4	yes	complemented
641	C₄×D₄	C₂³	1	4	yes	complemented
642	C₄×D₄	C₂³	1	2	yes	complemented
643	C₄×D₄	C₂³	1	4	yes	complemented
644	C₄×D₄	C₂³	1	4	yes	complemented
645	C₄×D₄	C₂³	1	4	yes	complemented
646	C₄×D₄	C₂³	1	4	yes	complemented
647	C₄×D₄	C₂³	1	4	yes	complemented
648	C₄×D₄	C₂³	1	4	yes	complemented
649	#117	C₂³	1	2	yes	—
650	#117	C₂³	1	4	yes	—
651	#117	C₂³	1	4	yes	—
652	#117	C₂³	1	4	yes	—
653	#117	C₂³	1	1	yes	characteristic
654	#117	C₂³	1	1	yes	characteristic
655	#117	C₂³	1	4	yes	—
656	#117	C₂³	1	4	yes	complemented
657	#117	C₂³	1	4	yes	complemented
658	#117	C₂³	1	4	yes	complemented
659	#117	C₂³	1	4	yes	complemented
660	#117	C₂³	1	4	yes	complemented
661	#117	C₂³	1	2	yes	complemented
662	#117	C₂³	1	2	yes	complemented
663	#117	C₂³	1	2	yes	complemented
664	#117	C₂³	1	2	yes	complemented
665	#117	C₂³	1	1	yes	characteristic, complemented
666	#117	C₂³	1	1	yes	characteristic, complemented
667	#117	C₂³	1	1	yes	characteristic, complemented
668	#117	C₂³	1	4	yes	complemented
669	#117	C₂³	1	4	yes	complemented
670	#117	C₂³	1	2	yes	complemented
671	#117	C₂³	1	4	yes	complemented
672	#117	C₂³	1	4	yes	complemented
673	#117	C₂³	1	4	yes	complemented
674	C₂×C₄⋊C₄	C₂³	1	2	yes	—
675	C₂×C₄⋊C₄	C₂³	1	2	yes	—
676	C₂×C₄⋊C₄	C₂³	1	4	yes	—
677	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
678	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
679	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
680	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
681	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
682	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
683	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
684	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
685	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
687	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
688	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
689	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
690	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
691	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
692	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
693	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
694	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
695	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
696	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
697	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
698	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
700	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
703	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
705	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
706	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
707	C₂×C₂²⋊C₄	C₂³	1	2	yes	complemented
708	C₂×C₂²⋊C₄	C₂³	1	2	yes	complemented
709	C₂×C₂²⋊C₄	C₂³	1	2	yes	complemented
710	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
711	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
712	C₂×C₄²	C₂³	1	2	yes	—
713	C₂×C₄²	C₂³	1	2	yes	complemented
714	C₂×C₄²	C₂³	1	4	yes	complemented
715	C₂×C₄²	C₂³	1	2	yes	complemented
716	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
717	C₂⁴	—	4	4	no	—
718	C₂⁴	—	4	8	no	—
719	C₂⁴	C₂⁴	1	1	yes	characteristic
720	C₂⁴	C₂⁴	1	4	yes	—
721	C₂⁴	C₂⁴	1	2	yes	—
722	C₂⁴	C₂⁴	1	4	yes	—
723	C₂⁴	C₂⁴	1	2	yes	—
724	C₂⁴	C₂⁴	1	2	yes	—
725	C₂⁴	C₂⁴	1	2	yes	—
726	C₂⁴	C₂⁴	1	2	yes	—
727	C₂⁴	C₂⁴	1	1	yes	characteristic
728	#41	—	2	8	no	—
729	#41	—	2	8	no	—
730	#41	—	2	4	no	—
731	#41	—	4	2	no	—
732	#41	—	4	2	no	—
733	#41	—	4	8	no	—
734	#41	—	4	8	no	—
735	#41	—	4	8	no	—
736	#41	—	4	4	no	—
737	#41	—	4	8	no	—
738	#41	—	4	4	no	—
739	#41	—	4	8	no	—
740	#41	—	4	4	no	—
741	#41	—	4	4	no	—
742	#41	—	4	4	no	—
743	#41	—	4	4	no	—
744	#41	—	4	2	no	—
745	#41	—	4	2	no	—
746	C₂×Q₈	—	4	4	no	—
747	C₂×Q₈	—	4	4	no	—
748	C₂×Q₈	—	4	2	no	—
749	C₂×Q₈	—	4	4	no	—
750	C₂×Q₈	—	4	2	no	—
751	C₂×Q₈	C₂⁴	1	2	yes	—
752	C₂×Q₈	C₂⁴	1	2	yes	—
753	C₂×Q₈	C₂⁴	1	1	yes	characteristic
754	C₂×Q₈	C₂⁴	1	2	yes	—
755	C₂×Q₈	C₂⁴	1	4	yes	—
756	C₂×Q₈	C₂⁴	1	1	yes	characteristic
757	C₂×Q₈	C₂⁴	1	4	yes	—
758	C₂×Q₈	C₂⁴	1	4	yes	—
759	C₂×Q₈	C₂⁴	1	2	yes	—
760	C₂×Q₈	C₂⁴	1	1	yes	characteristic
761	C₂×Q₈	C₂⁴	1	2	yes	—
762	C₂×D₄	—	2	8	no	—
763	C₂×D₄	—	2	4	no	—
764	C₂×D₄	—	2	4	no	—
765	C₂×D₄	—	4	4	no	—
766	C₂×D₄	—	4	2	no	—
767	C₂×D₄	—	4	2	no	—
768	C₂×D₄	—	4	8	no	—
769	C₂×D₄	—	4	4	no	—
770	C₂×D₄	—	4	8	no	—
771	C₂×D₄	—	4	4	no	—
772	C₂×D₄	—	4	8	no	—
773	C₂×D₄	—	4	4	no	—
774	C₂×D₄	—	4	8	no	—
775	C₂×D₄	—	4	4	no	—
776	C₂×D₄	—	4	8	no	—
777	C₂×D₄	—	4	4	no	—
778	C₂×D₄	—	4	4	no	—
779	C₂×D₄	—	4	4	no	—
780	C₂×D₄	C₂⁴	1	2	yes	—
781	C₂×D₄	C₂⁴	1	2	yes	—
782	C₂×D₄	C₂⁴	1	4	yes	—
783	C₂×D₄	C₂⁴	1	2	yes	—
784	C₂×D₄	C₂⁴	1	2	yes	—
785	C₂×D₄	C₂⁴	1	4	yes	—
786	C₂×D₄	C₂⁴	1	2	yes	—
787	C₂×D₄	C₂⁴	1	1	yes	characteristic
788	C₂×D₄	C₂⁴	1	2	yes	—
789	C₂×D₄	C₂⁴	1	4	yes	—
790	C₂×D₄	C₂⁴	1	2	yes	—
791	C₂×D₄	C₂⁴	1	2	yes	—
792	C₂×D₄	C₂⁴	1	4	yes	—
793	C₂×D₄	C₂⁴	1	1	yes	characteristic
794	C₂×D₄	C₂⁴	1	2	yes	—
795	C₂×D₄	C₂⁴	1	2	yes	—
796	C₂×D₄	C₂⁴	1	4	yes	—
797	C₂×D₄	C₂⁴	1	4	yes	—
798	C₂×D₄	C₂⁴	1	4	yes	—
799	C₂×D₄	C₂⁴	1	4	yes	—
800	C₂×D₄	C₂⁴	1	4	yes	—
801	C₂×D₄	C₂⁴	1	4	yes	—
802	C₂×D₄	C₂⁴	1	4	yes	—
803	C₂×D₄	C₂⁴	1	4	yes	—
804	C₂×D₄	C₂⁴	1	2	yes	—
805	C₂×D₄	C₂⁴	1	4	yes	—
806	C₂×D₄	C₂⁴	1	2	yes	—
807	C₂×D₄	C₂⁴	1	2	yes	—
808	C₂×D₄	C₂⁴	1	1	yes	characteristic
809	C₂×D₄	C₂⁴	1	2	yes	—
810	C₂×D₄	C₂⁴	1	1	yes	characteristic
811	C₂×D₄	C₂⁴	1	4	yes	—
812	C₂×D₄	C₂⁴	1	2	yes	—
813	C₂×D₄	C₂⁴	1	4	yes	—
814	C₂×D₄	C₂⁴	1	2	yes	—
815	C₂×D₄	C₂⁴	1	1	yes	characteristic
816	C₂×D₄	C₂⁴	1	2	yes	—
817	C₂×D₄	C₂⁴	1	4	yes	—
818	C₂×D₄	C₂⁴	1	4	yes	—
819	C₂×D₄	C₂⁴	1	1	yes	characteristic
820	C₂×D₄	C₂⁴	1	2	yes	—
821	C₂×D₄	C₂⁴	1	1	yes	characteristic
822	C₂²×C₄	—	4	2	no	—
823	C₂²×C₄	—	4	4	no	—
824	C₂²×C₄	—	4	2	no	—
825	C₂²×C₄	—	4	8	no	—
826	C₂²×C₄	—	4	8	no	—
827	C₂²×C₄	—	4	4	no	—
828	C₂²×C₄	C₂⁴	1	2	yes	—
829	C₂²×C₄	C₂⁴	1	2	yes	—
830	C₂²×C₄	C₂⁴	1	4	yes	—
831	C₂²×C₄	C₂⁴	1	2	yes	—
832	C₂²×C₄	C₂⁴	1	2	yes	—
833	C₂²×C₄	C₂⁴	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴	1	4	yes	—
835	C₂²×C₄	C₂⁴	1	4	yes	—
836	C₂²×C₄	C₂⁴	1	2	yes	—
837	C₂²×C₄	C₂⁴	1	1	yes	characteristic
838	C₂²×C₄	C₂⁴	1	1	yes	characteristic
839	C₂²×C₄	C₂⁴	1	2	yes	—
840	C₂²×C₄	C₂⁴	1	4	yes	—
841	C₂²×C₄	C₂⁴	1	4	yes	—
842	C₂²×C₄	C₂⁴	1	2	yes	—
843	C₂²×C₄	C₂⁴	1	2	yes	—
844	C₂²×C₄	C₂⁴	1	2	yes	—
845	C₂²×C₄	C₂⁴	1	2	yes	—
846	C₂²×C₄	C₂⁴	1	4	yes	—
847	C₂²×C₄	C₂⁴	1	4	yes	—
848	C₂²×C₄	C₂⁴	1	4	yes	—
849	C₂²×C₄	C₂⁴	1	4	yes	—
850	C₂²×C₄	C₂⁴	1	4	yes	—
851	C₂²×C₄	C₂⁴	1	4	yes	—
852	C₂²×C₄	C₂⁴	1	2	yes	—
853	C₂²×C₄	C₂⁴	1	4	yes	—
854	C₂²×C₄	C₂⁴	1	2	yes	—
855	C₂²×C₄	C₂⁴	1	4	yes	—
856	C₂²×C₄	C₂⁴	1	2	yes	—
857	C₂²×C₄	C₂⁴	1	4	yes	—
858	C₂²×C₄	C₂⁴	1	4	yes	—
859	C₂²×C₄	C₂⁴	1	2	yes	—
860	C₂²×C₄	C₂⁴	1	4	yes	—
861	C₂²×C₄	C₂⁴	1	2	yes	—
862	C₂²×C₄	C₂⁴	1	2	yes	—
863	C₂²×C₄	C₂⁴	1	2	yes	—
864	C₂²×C₄	C₂⁴	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴	1	2	yes	—
867	C₄⋊C₄	C₂⁴	1	2	yes	—
868	C₄⋊C₄	C₂⁴	1	2	yes	—
869	C₄⋊C₄	C₂⁴	1	2	yes	—
870	C₄⋊C₄	C₂⁴	1	4	yes	—
871	C₄⋊C₄	C₂⁴	1	4	yes	—
872	C₄⋊C₄	C₂⁴	1	2	yes	—
873	C₄⋊C₄	C₂⁴	1	4	yes	—
874	C₄⋊C₄	C₂⁴	1	2	yes	—
875	C₄⋊C₄	C₂⁴	1	2	yes	—
876	C₄⋊C₄	C₂⁴	1	4	yes	—
877	C₄⋊C₄	C₂⁴	1	4	yes	—
878	C₄⋊C₄	C₂⁴	1	4	yes	—
879	C₄⋊C₄	C₂⁴	1	2	yes	—
880	C₄⋊C₄	C₂⁴	1	2	yes	—
881	C₄⋊C₄	C₂⁴	1	2	yes	—
882	C₄⋊C₄	C₂⁴	1	4	yes	—
883	C₄⋊C₄	C₂⁴	1	4	yes	—
884	C₄⋊C₄	C₂⁴	1	2	yes	—
885	C₄⋊C₄	C₂⁴	1	4	yes	—
886	C₄⋊C₄	C₂⁴	1	2	yes	—
887	C₄⋊C₄	C₂⁴	1	4	yes	—
888	C₄⋊C₄	C₂⁴	1	4	yes	—
889	C₄⋊C₄	C₂⁴	1	4	yes	—
890	C₄⋊C₄	C₂⁴	1	4	yes	—
891	C₄⋊C₄	C₂⁴	1	2	yes	—
892	C₄⋊C₄	C₂⁴	1	2	yes	—
893	C₄⋊C₄	C₂⁴	1	4	yes	—
894	C₄⋊C₄	C₂⁴	1	4	yes	—
895	C₄⋊C₄	C₂⁴	1	4	yes	—
896	C₄⋊C₄	C₂⁴	1	4	yes	—
897	C₄⋊C₄	C₂⁴	1	4	yes	—
898	C₄⋊C₄	C₂⁴	1	4	yes	—
899	C₄⋊C₄	C₂⁴	1	2	yes	—
900	C₄⋊C₄	C₂⁴	1	4	yes	—
901	C₄⋊C₄	C₂⁴	1	4	yes	—
902	C₄⋊C₄	C₂⁴	1	2	yes	—
903	C₄⋊C₄	C₂⁴	1	2	yes	—
904	C₄⋊C₄	C₂⁴	1	4	yes	—
905	C₄⋊C₄	C₂⁴	1	4	yes	—
906	C₄⋊C₄	C₂⁴	1	2	yes	—
907	C₄⋊C₄	C₂⁴	1	2	yes	—
908	C₄⋊C₄	C₂⁴	1	2	yes	—
909	C₄⋊C₄	C₂⁴	1	4	yes	—
910	C₄⋊C₄	C₂⁴	1	4	yes	—
911	C₄⋊C₄	C₂⁴	1	4	yes	—
912	C₂²⋊C₄	C₂⁴	1	2	yes	—
913	C₂²⋊C₄	C₂⁴	1	2	yes	—
914	C₂²⋊C₄	C₂⁴	1	2	yes	—
915	C₂²⋊C₄	C₂⁴	1	2	yes	—
916	C₂²⋊C₄	C₂⁴	1	4	yes	—
917	C₂²⋊C₄	C₂⁴	1	4	yes	—
918	C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₂²⋊C₄	C₂⁴	1	4	yes	—
920	C₂²⋊C₄	C₂⁴	1	4	yes	—
921	C₂²⋊C₄	C₂⁴	1	2	yes	—
922	C₂²⋊C₄	C₂⁴	1	4	yes	—
923	C₂²⋊C₄	C₂⁴	1	4	yes	—
924	C₂²⋊C₄	C₂⁴	1	4	yes	—
925	C₂²⋊C₄	C₂⁴	1	4	yes	—
926	C₂²⋊C₄	C₂⁴	1	4	yes	—
927	C₂²⋊C₄	C₂⁴	1	4	yes	—
928	C₂²⋊C₄	C₂⁴	1	4	yes	—
929	C₂²⋊C₄	C₂⁴	1	4	yes	—
930	C₂²⋊C₄	C₂⁴	1	2	yes	—
931	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
932	C₂²⋊C₄	C₂⁴	1	2	yes	—
933	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
934	C₂²⋊C₄	C₂⁴	1	4	yes	—
935	C₂²⋊C₄	C₂⁴	1	2	yes	—
936	C₂²⋊C₄	C₂⁴	1	4	yes	—
937	C₂²⋊C₄	C₂⁴	1	4	yes	—
938	C₂²⋊C₄	C₂⁴	1	4	yes	—
939	C₂²⋊C₄	C₂⁴	1	4	yes	—
940	C₂²⋊C₄	C₂⁴	1	2	yes	—
941	C₂²⋊C₄	C₂⁴	1	4	yes	—
942	C₂²⋊C₄	C₂⁴	1	4	yes	—
943	C₂²⋊C₄	C₂⁴	1	4	yes	—
944	C₂²⋊C₄	C₂⁴	1	4	yes	—
945	C₂²⋊C₄	C₂⁴	1	4	yes	—
946	C₂²⋊C₄	C₂⁴	1	2	yes	—
947	C₂²⋊C₄	C₂⁴	1	2	yes	—
948	C₂²⋊C₄	C₂⁴	1	2	yes	—
949	C₂²⋊C₄	C₂⁴	1	2	yes	—
950	C₂²⋊C₄	C₂⁴	1	4	yes	—
951	C₂²⋊C₄	C₂⁴	1	4	yes	—
952	C₂²⋊C₄	C₂⁴	1	4	yes	—
953	C₂²⋊C₄	C₂⁴	1	4	yes	—
954	C₂²⋊C₄	C₂⁴	1	4	yes	—
955	C₂²⋊C₄	C₂⁴	1	4	yes	—
956	C₂²⋊C₄	C₂⁴	1	2	yes	—
957	C₂²⋊C₄	C₂⁴	1	2	yes	—
958	C₂²⋊C₄	C₂⁴	1	4	yes	—
959	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
960	C₂²⋊C₄	C₂⁴	1	2	yes	—
961	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
962	C₂²⋊C₄	C₂⁴	1	2	yes	—
963	C₂²⋊C₄	C₂⁴	1	2	yes	—
964	C₂²⋊C₄	C₂⁴	1	4	yes	—
965	C₂²⋊C₄	C₂⁴	1	4	yes	—
966	C₂²⋊C₄	C₂⁴	1	4	yes	—
967	C₂²⋊C₄	C₂⁴	1	4	yes	—
968	C₂²⋊C₄	C₂⁴	1	4	yes	—
969	C₂²⋊C₄	C₂⁴	1	2	yes	—
970	C₂²⋊C₄	C₂⁴	1	4	yes	—
971	C₂²⋊C₄	C₂⁴	1	2	yes	—
972	C₂²⋊C₄	C₂⁴	1	4	yes	—
973	C₂²⋊C₄	C₂⁴	1	4	yes	—
974	C₂²⋊C₄	C₂⁴	1	2	yes	—
975	C₂²⋊C₄	C₂⁴	1	2	yes	—
976	C₂²⋊C₄	C₂⁴	1	2	yes	—
977	C₄²	C₂⁴	1	2	yes	—
978	C₄²	C₂⁴	1	2	yes	—
979	C₄²	C₂⁴	1	2	yes	—
980	C₄²	C₂⁴	1	2	yes	—
981	C₄²	C₂⁴	1	1	yes	characteristic
982	C₄²	C₂⁴	1	2	yes	—
983	C₄²	C₂⁴	1	2	yes	—
984	C₄²	C₂⁴	1	4	yes	—
985	C₄²	C₂⁴	1	4	yes	—
986	C₄²	C₂⁴	1	4	yes	—
987	C₄²	C₂⁴	1	2	yes	—
988	C₄²	C₂⁴	1	4	yes	—
989	C₄²	C₂⁴	1	2	yes	—
990	C₄²	C₂⁴	1	1	yes	characteristic
991	C₄²	C₂⁴	1	2	yes	—
992	C₄²	C₂⁴	1	2	yes	—
993	C₄²	C₂⁴	1	4	yes	—
994	C₄²	C₂⁴	1	4	yes	—
995	C₂³	—	2	8	no	—
996	C₂³	—	2	8	no	—
997	C₂³	—	2	4	no	—
998	C₂³	—	2	4	no	—
999	C₂³	—	2	4	no	—
1000	C₂³	—	2	4	no	—
1001	C₂³	—	2	8	no	—
1002	C₂³	—	4	1	no	—
1003	C₂³	—	4	4	no	—
1004	C₂³	—	4	2	no	—
1005	C₂³	—	4	1	no	—
1006	C₂³	—	4	4	no	—
1007	C₂³	—	4	2	no	—
1008	C₂³	—	4	4	no	—
1009	C₂³	—	4	2	no	—
1010	C₂³	—	4	2	no	—
1011	C₂³	—	4	4	no	—
1012	C₂³	—	4	4	no	—
1013	C₂³	—	4	4	no	—
1014	C₂³	—	4	2	no	—
1015	C₂³	—	4	4	no	—
1016	C₂³	—	8	16	no	—
1017	C₂³	C₂⁵	1	1	yes	characteristic
1018	C₂³	C₂⁵	1	2	yes	—
1019	C₂³	C₂⁵	1	1	yes	characteristic
1020	C₂³	C₂⁵	1	4	yes	—
1021	C₂³	C₂⁵	1	1	yes	characteristic
1022	C₂³	C₂⁵	1	2	yes	—
1023	C₂³	C₂⁵	1	2	yes	—
1024	C₂³	C₂⁵	1	2	yes	—
1025	C₂³	C₂⁵	1	2	yes	—
1026	C₂³	C₂⁵	1	2	yes	—
1027	Q₈	—	2	4	no	—
1028	Q₈	—	2	4	no	—
1029	Q₈	—	2	2	no	—
1030	Q₈	—	4	1	no	—
1031	Q₈	—	4	4	no	—
1032	Q₈	—	4	2	no	—
1033	Q₈	—	4	4	no	—
1034	Q₈	—	4	2	no	—
1035	Q₈	—	4	2	no	—
1036	Q₈	—	4	4	no	—
1037	Q₈	—	4	1	no	—
1038	D₄	—	2	4	no	—
1039	D₄	—	2	8	no	—
1040	D₄	—	2	4	no	—
1041	D₄	—	2	8	no	—
1042	D₄	—	2	4	no	—
1043	D₄	—	2	8	no	—
1044	D₄	—	2	4	no	—
1045	D₄	—	2	4	no	—
1046	D₄	—	2	8	no	—
1047	D₄	—	2	4	no	—
1048	D₄	—	2	4	no	—
1049	D₄	—	2	2	no	—
1050	D₄	—	2	4	no	—
1051	D₄	—	2	2	no	—
1052	D₄	—	4	2	no	—
1053	D₄	—	4	4	no	—
1054	D₄	—	4	1	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	1	no	—
1057	D₄	—	4	1	no	—
1058	D₄	—	4	2	no	—
1059	D₄	—	4	2	no	—
1060	D₄	—	4	4	no	—
1061	D₄	—	4	4	no	—
1062	D₄	—	4	4	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	4	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	4	2	no	—
1067	D₄	—	4	4	no	—
1068	D₄	—	4	4	no	—
1069	D₄	—	4	4	no	—
1070	D₄	—	4	2	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	4	no	—
1073	D₄	—	4	4	no	—
1074	D₄	—	4	4	no	—
1075	D₄	—	4	2	no	—
1076	D₄	—	4	4	no	—
1077	D₄	—	4	2	no	—
1078	D₄	—	4	1	no	—
1079	D₄	H(5,𝔽₂)	1	4	yes	—
1080	C₂×C₄	—	2	8	no	—
1081	C₂×C₄	—	2	8	no	—
1082	C₂×C₄	—	2	4	no	—
1083	C₂×C₄	—	2	4	no	—
1084	C₂×C₄	—	2	8	no	—
1085	C₂×C₄	—	2	4	no	—
1086	C₂×C₄	—	2	4	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	4	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	2	no	—
1093	C₂×C₄	—	4	4	no	—
1094	C₂×C₄	—	4	4	no	—
1095	C₂×C₄	—	4	4	no	—
1096	C₂×C₄	—	4	4	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	4	1	no	—
1099	C₂×C₄	—	4	2	no	—
1100	C₂×C₄	—	4	4	no	—
1101	C₂×C₄	—	4	2	no	—
1102	C₂×C₄	—	4	2	no	—
1103	C₂×C₄	—	4	4	no	—
1104	C₂×C₄	—	4	4	no	—
1105	C₂×C₄	—	4	2	no	—
1106	C₂×C₄	—	4	4	no	—
1107	C₂×C₄	—	4	4	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	4	4	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	4	2	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	4	2	no	—
1115	C₂×C₄	—	4	2	no	—
1116	C₂×C₄	—	4	2	no	—
1117	C₂×C₄	—	4	4	no	—
1118	C₂×C₄	—	4	4	no	—
1119	C₂×C₄	C₂⁵	1	2	yes	—
1120	C₂×C₄	C₂⁵	1	2	yes	—
1121	C₂×C₄	C₂⁵	1	4	yes	—
1122	C₂×C₄	C₂⁵	1	2	yes	—
1123	C₂×C₄	C₂⁵	1	4	yes	—
1124	C₂×C₄	C₂⁵	1	2	yes	—
1125	C₂×C₄	C₂⁵	1	2	yes	—
1126	C₂×C₄	C₂⁵	1	2	yes	—
1127	C₂×C₄	C₂⁵	1	1	yes	characteristic
1128	C₂×C₄	C₂⁵	1	2	yes	—
1129	C₂×C₄	C₂⁵	1	4	yes	—
1130	C₂×C₄	C₂⁵	1	4	yes	—
1131	C₂×C₄	C₂⁵	1	1	yes	characteristic
1132	C₂×C₄	C₂⁵	1	2	yes	—
1133	C₂×C₄	C₂⁵	1	4	yes	—
1134	C₂×C₄	C₂⁵	1	2	yes	—
1135	C₂×C₄	C₂⁵	1	1	yes	characteristic
1136	C₂×C₄	C₂⁵	1	2	yes	—
1137	C₂×C₄	C₂⁵	1	1	yes	characteristic
1138	C₂²	—	2	2	no	—
1139	C₂²	—	2	4	no	—
1140	C₂²	—	2	2	no	—
1141	C₂²	—	2	2	no	—
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	2	2	no	—
1147	C₂²	—	2	4	no	—
1148	C₂²	—	2	2	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	2	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	4	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	2	2	no	—
1158	C₂²	—	2	4	no	—
1159	C₂²	—	2	2	no	—
1160	C₂²	—	4	16	no	—
1161	C₂²	—	4	4	no	—
1162	C₂²	—	8	4	no	—
1163	C₂²	—	8	4	no	—
1164	C₂²	—	8	8	no	—
1165	C₂²	—	8	4	no	—
1166	C₂²	—	8	2	no	—
1167	C₂²	—	8	4	no	—
1168	C₂²	—	16	2	no	—
1169	C₂²	C₂×H(5,𝔽₂)	1	4	yes	—
1170	C₂²	#585	1	4	yes	—
1171	C₂²	C₂⁶	1	1	yes	characteristic
1172	C₄	—	2	2	no	—
1173	C₄	—	2	2	no	—
1174	C₄	—	2	1	no	—
1175	C₄	—	2	1	no	—
1176	C₄	—	2	2	no	—
1177	C₄	—	2	1	no	—
1178	C₄	—	2	4	no	—
1179	C₄	—	2	2	no	—
1180	C₄	—	2	4	no	—
1181	C₄	—	2	2	no	—
1182	C₄	—	2	4	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	2	4	no	—
1185	C₄	—	2	2	no	—
1186	C₄	—	2	4	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	2	2	no	—
1189	C₄	—	2	2	no	—
1190	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1191	C₂	—	2	4	no	—
1192	C₂	—	2	4	no	—
1193	C₂	—	4	4	no	—
1194	C₂	—	4	1	no	—
1195	C₂	—	4	2	no	—
1196	C₂	—	4	2	no	—
1197	C₂	—	4	1	no	—
1198	C₂	—	4	2	no	—
1199	C₂	—	4	2	no	—
1200	C₂	—	4	1	no	—
1201	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1202	C₂	C₂×#585	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂²	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #3562	C₂	semidirect
2. #3561	C₂	semidirect
3. #3560	C₂	semidirect
4. #3551	C₂	semidirect
5. #3545	C₂	semidirect
6. #3542	C₂	semidirect
7. #3540	C₂	semidirect
8. #3538	C₂	semidirect
9. #3535	C₂	semidirect
10. #3534	C₂	semidirect
11. #3533	C₂	semidirect
12. #3532	C₂	semidirect
13. #3521	C₂	semidirect
14. #3520	C₂	semidirect
15. #3514	C₂	semidirect
16. #3513	C₂	semidirect
17. #3513	C₂	semidirect
18. #3505	C₂	semidirect
19. #3500	C₂	semidirect
20. #3494	C₂	semidirect
21. #3490	C₂	semidirect
22. #3489	C₂	semidirect
23. #3485	C₂	semidirect
24. #3484	C₂	semidirect
25. #3481	C₂	semidirect
26. #3475	C₂	semidirect
27. C₂×#551	C₂	semidirect
28. D₄×#41	C₂	semidirect
29. C₂×#546	C₂	semidirect
30. C₂×2₋¹⁺⁴	C₂²	semidirect
31. C₂×H(5,𝔽₂)	C₂²	semidirect
32. C₂²×#41	C₂²	semidirect
33. C₂²×#41	C₂²	semidirect
34. C₂³×D₄	C₂²	semidirect
35. #563	C₂²	semidirect
36. #563	C₂²	semidirect
37. #563	C₂²	semidirect
38. #563	C₂²	semidirect
39. #562	C₂²	semidirect
40. #562	C₂²	semidirect
41. #562	C₂²	semidirect
42. H(3,𝔽₄)	C₂²	semidirect
43. #560	C₂²	semidirect
44. #560	C₂²	semidirect
45. #560	C₂²	semidirect
46. #560	C₂²	semidirect
47. #559	C₂²	semidirect
48. #559	C₂²	semidirect
49. #559	C₂²	semidirect
50. #556	C₂²	semidirect
51. #556	C₂²	semidirect
52. #556	C₂²	semidirect
53. #555	C₂²	semidirect
54. #555	C₂²	semidirect
55. #555	C₂²	semidirect
56. #554	C₂²	semidirect
57. #554	C₂²	semidirect
58. #554	C₂²	semidirect
59. #553	C₂²	semidirect
60. #553	C₂²	semidirect
61. #553	C₂²	semidirect
62. #553	C₂²	semidirect
63. #553	C₂²	semidirect
64. #553	C₂²	semidirect
65. #553	C₂²	semidirect
66. #553	C₂²	semidirect
67. #553	C₂²	semidirect
68. #553	C₂²	semidirect
69. #552	C₂²	semidirect
70. #552	C₂²	semidirect
71. #552	C₂²	semidirect
72. #552	C₂²	semidirect
73. #552	C₂²	semidirect
74. #552	C₂²	semidirect
75. #551	C₂²	semidirect
76. #551	C₂²	semidirect
77. #551	C₂²	semidirect
78. #551	C₂²	semidirect
79. #551	C₂²	semidirect
80. #551	C₂²	semidirect
81. #551	C₂²	semidirect
82. #551	C₂²	semidirect
83. #551	C₂²	semidirect
84. #551	C₂²	semidirect
85. #551	C₂²	semidirect
86. #551	C₂²	semidirect
87. #551	C₂²	semidirect
88. #551	C₂²	semidirect
89. #551	C₂²	semidirect
90. #551	C₂²	semidirect
91. #551	C₂²	semidirect
92. #551	C₂²	semidirect
93. #551	C₂²	semidirect
94. #551	C₂²	semidirect
95. #551	C₂²	semidirect
96. #551	C₂²	semidirect
97. #551	C₂²	semidirect
98. #550	C₂²	semidirect
99. D₄×Q₈	C₂²	semidirect
100. D₄×Q₈	C₂²	semidirect
101. D₄×Q₈	C₂²	semidirect
102. #548	C₂²	semidirect
103. #548	C₂²	semidirect
104. #548	C₂²	semidirect
105. #548	C₂²	semidirect
106. #548	C₂²	semidirect
107. #548	C₂²	semidirect
108. #547	C₂²	semidirect
109. #547	C₂²	semidirect
110. #547	C₂²	semidirect
111. #547	C₂²	semidirect
112. #547	C₂²	semidirect
113. #547	C₂²	semidirect
114. #547	C₂²	semidirect
115. #547	C₂²	semidirect
116. #546	C₂²	semidirect
117. #546	C₂²	semidirect
118. #546	C₂²	semidirect
119. #546	C₂²	semidirect
120. #546	C₂²	semidirect
121. #546	C₂²	semidirect
122. #546	C₂²	semidirect
123. #546	C₂²	semidirect
124. #546	C₂²	semidirect
125. #546	C₂²	semidirect
126. #546	C₂²	semidirect
127. #546	C₂²	semidirect
128. #546	C₂²	semidirect
129. #546	C₂²	semidirect
130. #546	C₂²	semidirect
131. #546	C₂²	semidirect
132. #546	C₂²	semidirect
133. #546	C₂²	semidirect
134. #546	C₂²	semidirect
135. #546	C₂²	semidirect
136. #546	C₂²	semidirect
137. #546	C₂²	semidirect
138. #546	C₂²	semidirect
139. #546	C₂²	semidirect
140. #546	C₂²	semidirect
141. #546	C₂²	semidirect
142. #546	C₂²	semidirect
143. #546	C₂²	semidirect
144. #546	C₂²	semidirect
145. #546	C₂²	semidirect
146. D₄²	C₂²	semidirect
147. D₄²	C₂²	semidirect
148. D₄²	C₂²	semidirect
149. D₄²	C₂²	semidirect
150. D₄²	C₂²	semidirect
151. #544	C₂²	semidirect
152. #543	C₂²	semidirect
153. #542	C₂²	semidirect
154. #542	C₂²	semidirect
155. #542	C₂²	semidirect
156. #542	C₂²	semidirect
157. #542	C₂²	semidirect
158. #542	C₂²	semidirect
159. #542	C₂²	semidirect
160. #541	C₂²	semidirect
161. #540	C₂²	semidirect
162. #540	C₂²	semidirect
163. #540	C₂²	semidirect
164. #540	C₂²	semidirect
165. #539	C₂²	semidirect
166. #539	C₂²	semidirect
167. #539	C₂²	semidirect
168. #539	C₂²	semidirect
169. #539	C₂²	semidirect
170. #539	C₂²	semidirect
171. #539	C₂²	semidirect
172. #538	C₂²	semidirect
173. #538	C₂²	semidirect
174. #538	C₂²	semidirect
175. #538	C₂²	semidirect
176. #538	C₂²	semidirect
177. #538	C₂²	semidirect
178. #538	C₂²	semidirect
179. #538	C₂²	semidirect
180. #538	C₂²	semidirect
181. #538	C₂²	semidirect
182. #538	C₂²	semidirect
183. #537	C₂²	semidirect
184. #537	C₂²	semidirect
185. #536	C₂²	semidirect
186. #536	C₂²	semidirect
187. #536	C₂²	semidirect
188. #536	C₂²	semidirect
189. #536	C₂²	semidirect
190. #536	C₂²	semidirect
191. #535	C₂²	semidirect
192. #535	C₂²	semidirect
193. #535	C₂²	semidirect
194. #535	C₂²	semidirect
195. #535	C₂²	semidirect
196. #534	C₂²	semidirect
197. #534	C₂²	semidirect
198. #534	C₂²	semidirect
199. #534	C₂²	semidirect
200. #534	C₂²	semidirect
201. #534	C₂²	semidirect
202. #533	C₂²	semidirect
203. #532	C₂²	semidirect
204. #532	C₂²	semidirect
205. #532	C₂²	semidirect
206. #532	C₂²	semidirect
207. #529	C₂²	semidirect
208. #529	C₂²	semidirect
209. #529	C₂²	semidirect
210. #529	C₂²	semidirect
211. #529	C₂²	semidirect
212. #529	C₂²	semidirect
213. #529	C₂²	semidirect
214. #529	C₂²	semidirect
215. #529	C₂²	semidirect
216. C₂×#126	C₂²	semidirect
217. C₂×#124	C₂²	semidirect
218. C₂×#124	C₂²	semidirect
219. C₂×#124	C₂²	semidirect
221. #525	C₂²	semidirect
222. #525	C₂²	semidirect
223. #525	C₂²	semidirect
224. #525	C₂²	semidirect
225. #525	C₂²	semidirect
226. #525	C₂²	semidirect
227. #525	C₂²	semidirect
228. #525	C₂²	semidirect
229. #525	C₂²	semidirect
230. #525	C₂²	semidirect
231. #525	C₂²	semidirect
232. C₂×#123	C₂²	semidirect
233. C₂×#123	C₂²	semidirect
234. C₂×#123	C₂²	semidirect
235. C₂×#123	C₂²	semidirect
236. C₂×C₂²⋊Q₈	C₂²	semidirect
237. C₂×C₂²⋊Q₈	C₂²	semidirect
238. C₂×C₂²⋊Q₈	C₂²	semidirect
239. C₂×#121	C₂²	semidirect
240. C₂×#121	C₂²	semidirect
242. C₂×#120	C₂²	semidirect
243. C₂×#120	C₂²	semidirect
244. #520	C₂²	semidirect
245. #520	C₂²	semidirect
246. #518	C₂²	semidirect
247. #518	C₂²	semidirect
248. #518	C₂²	semidirect
249. #518	C₂²	semidirect
250. C₄×#41	C₂²	semidirect
251. C₄×#41	C₂²	semidirect
252. C₄×#41	C₂²	semidirect
253. C₂×C₄×D₄	C₂²	semidirect
254. C₂×C₄×D₄	C₂²	semidirect
255. C₂×C₄×D₄	C₂²	semidirect
256. C₂×C₄×D₄	C₂²	semidirect
257. C₂×#117	C₂²	semidirect
258. C₂²×C₂²⋊C₄	C₂²	semidirect
277. C₂×#41	C₂³	semidirect
278. C₂×#41	C₂³	semidirect
279. C₂×#41	C₂³	semidirect
280. C₂×#41	C₂³	semidirect
281. C₂×#41	C₂³	semidirect
283. C₂²×Q₈	C₂³	semidirect
284. C₂²×Q₈	C₂³	semidirect
285. C₂²×Q₈	C₂³	semidirect
286. C₂²×Q₈	C₂³	semidirect
305. C₂²×D₄	C₂³	semidirect
310. C₂³×C₄	C₂³	semidirect
311. C₂³×C₄	C₂³	semidirect
312. C₄⋊Q₈	C₂³	semidirect
313. C₄⋊Q₈	C₂³	semidirect
314. C₄⋊Q₈	C₂³	semidirect
315. C₄⋊Q₈	C₂³	semidirect
316. C₄⋊Q₈	C₂³	semidirect
317. C₄⋊Q₈	C₂³	semidirect
318. C₄⋊Q₈	C₂³	semidirect
319. C₄⋊Q₈	C₂³	semidirect
320. C₄⋊Q₈	C₂³	semidirect
324. #127	C₂³	semidirect
325. #127	C₂³	semidirect
331. #126	C₂³	semidirect
332. #126	C₂³	semidirect
333. #126	C₂³	semidirect
334. #126	C₂³	semidirect
335. #126	C₂³	semidirect
336. #126	C₂³	semidirect
337. #126	C₂³	semidirect
338. #126	C₂³	semidirect
339. #126	C₂³	semidirect
340. #126	C₂³	semidirect
341. #126	C₂³	semidirect
342. #126	C₂³	semidirect
343. #126	C₂³	semidirect
344. #126	C₂³	semidirect
345. #126	C₂³	semidirect
346. #126	C₂³	semidirect
347. #126	C₂³	semidirect
348. #126	C₂³	semidirect
349. #126	C₂³	semidirect
350. #125	C₂³	semidirect
351. #125	C₂³	semidirect
352. #125	C₂³	semidirect
353. #125	C₂³	semidirect
354. #125	C₂³	semidirect
355. #125	C₂³	semidirect
356. #125	C₂³	semidirect
357. #125	C₂³	semidirect
358. #125	C₂³	semidirect
359. #125	C₂³	semidirect
360. #125	C₂³	semidirect
375. #124	C₂³	semidirect
376. #124	C₂³	semidirect
377. #124	C₂³	semidirect
378. #124	C₂³	semidirect
379. #124	C₂³	semidirect
380. #124	C₂³	semidirect
381. #124	C₂³	semidirect
382. #124	C₂³	semidirect
383. #124	C₂³	semidirect
384. #124	C₂³	semidirect
385. #124	C₂³	semidirect
386. #124	C₂³	semidirect
387. #124	C₂³	semidirect
388. #124	C₂³	semidirect
389. #124	C₂³	semidirect
390. #124	C₂³	semidirect
417. #123	C₂³	semidirect
418. #123	C₂³	semidirect
419. #123	C₂³	semidirect
420. #123	C₂³	semidirect
421. #123	C₂³	semidirect
422. #123	C₂³	semidirect
423. #123	C₂³	semidirect
424. #123	C₂³	semidirect
425. #123	C₂³	semidirect
426. #123	C₂³	semidirect
427. #123	C₂³	semidirect
428. #123	C₂³	semidirect
429. #123	C₂³	semidirect
430. #123	C₂³	semidirect
431. #123	C₂³	semidirect
432. #123	C₂³	semidirect
433. #123	C₂³	semidirect
434. #123	C₂³	semidirect
435. #123	C₂³	semidirect
436. #123	C₂³	semidirect
437. #123	C₂³	semidirect
438. #123	C₂³	semidirect
439. #123	C₂³	semidirect
440. #123	C₂³	semidirect
441. #123	C₂³	semidirect
442. #123	C₂³	semidirect
443. #123	C₂³	semidirect
444. #123	C₂³	semidirect
445. #123	C₂³	semidirect
446. #123	C₂³	semidirect
447. #123	C₂³	semidirect
448. #123	C₂³	semidirect
464. C₂²⋊Q₈	C₂³	semidirect
465. C₂²⋊Q₈	C₂³	semidirect
466. C₂²⋊Q₈	C₂³	semidirect
467. C₂²⋊Q₈	C₂³	semidirect
468. C₂²⋊Q₈	C₂³	semidirect
469. C₂²⋊Q₈	C₂³	semidirect
470. C₂²⋊Q₈	C₂³	semidirect
471. C₂²⋊Q₈	C₂³	semidirect
472. C₂²⋊Q₈	C₂³	semidirect
473. C₂²⋊Q₈	C₂³	semidirect
474. C₂²⋊Q₈	C₂³	semidirect
475. C₂²⋊Q₈	C₂³	semidirect
476. C₂²⋊Q₈	C₂³	semidirect
477. C₂²⋊Q₈	C₂³	semidirect
478. C₂²⋊Q₈	C₂³	semidirect
479. C₂²⋊Q₈	C₂³	semidirect
480. C₂²⋊Q₈	C₂³	semidirect
481. C₂²⋊Q₈	C₂³	semidirect
482. C₂²⋊Q₈	C₂³	semidirect
483. C₂²⋊Q₈	C₂³	semidirect
484. C₂²⋊Q₈	C₂³	semidirect
485. C₂²⋊Q₈	C₂³	semidirect
486. C₂²⋊Q₈	C₂³	semidirect
487. C₂²⋊Q₈	C₂³	semidirect
488. C₂²⋊Q₈	C₂³	semidirect
489. C₂²⋊Q₈	C₂³	semidirect
490. C₂²⋊Q₈	C₂³	semidirect
491. C₂²⋊Q₈	C₂³	semidirect
492. C₂²⋊Q₈	C₂³	semidirect
493. C₂²⋊Q₈	C₂³	semidirect
525. #121	C₂³	semidirect
526. #121	C₂³	semidirect
527. #121	C₂³	semidirect
528. #121	C₂³	semidirect
529. #121	C₂³	semidirect
530. #121	C₂³	semidirect
531. #121	C₂³	semidirect
532. #121	C₂³	semidirect
533. #121	C₂³	semidirect
534. #121	C₂³	semidirect
535. #121	C₂³	semidirect
536. #121	C₂³	semidirect
537. #121	C₂³	semidirect
538. #121	C₂³	semidirect
539. #121	C₂³	semidirect
540. #121	C₂³	semidirect
541. #121	C₂³	semidirect
542. #121	C₂³	semidirect
543. #121	C₂³	semidirect
544. #121	C₂³	semidirect
545. #121	C₂³	semidirect
546. #121	C₂³	semidirect
547. #121	C₂³	semidirect
573. #120	C₂³	semidirect
574. #120	C₂³	semidirect
575. #120	C₂³	semidirect
576. #120	C₂³	semidirect
577. #120	C₂³	semidirect
578. #120	C₂³	semidirect
579. C₄×Q₈	C₂³	semidirect
580. C₄×Q₈	C₂³	semidirect
581. C₄×Q₈	C₂³	semidirect
582. C₄×Q₈	C₂³	semidirect
583. C₄×Q₈	C₂³	semidirect
584. C₄×Q₈	C₂³	semidirect
585. C₄×Q₈	C₂³	semidirect
586. C₄×Q₈	C₂³	semidirect
587. C₄×Q₈	C₂³	semidirect
618. C₄×D₄	C₂³	semidirect
619. C₄×D₄	C₂³	semidirect
620. C₄×D₄	C₂³	semidirect
621. C₄×D₄	C₂³	semidirect
622. C₄×D₄	C₂³	semidirect
623. C₄×D₄	C₂³	semidirect
624. C₄×D₄	C₂³	semidirect
625. C₄×D₄	C₂³	semidirect
626. C₄×D₄	C₂³	semidirect
627. C₄×D₄	C₂³	semidirect
628. C₄×D₄	C₂³	semidirect
629. C₄×D₄	C₂³	semidirect
630. C₄×D₄	C₂³	semidirect
631. C₄×D₄	C₂³	semidirect
632. C₄×D₄	C₂³	semidirect
633. C₄×D₄	C₂³	semidirect
634. C₄×D₄	C₂³	semidirect
635. C₄×D₄	C₂³	semidirect
636. C₄×D₄	C₂³	semidirect
637. C₄×D₄	C₂³	semidirect
638. C₄×D₄	C₂³	semidirect
639. C₄×D₄	C₂³	semidirect
640. C₄×D₄	C₂³	semidirect
641. C₄×D₄	C₂³	semidirect
642. C₄×D₄	C₂³	semidirect
643. C₄×D₄	C₂³	semidirect
644. C₄×D₄	C₂³	semidirect
645. C₄×D₄	C₂³	semidirect
646. C₄×D₄	C₂³	semidirect
647. C₄×D₄	C₂³	semidirect
648. C₄×D₄	C₂³	semidirect
656. #117	C₂³	semidirect
657. #117	C₂³	semidirect
658. #117	C₂³	semidirect
659. #117	C₂³	semidirect
660. #117	C₂³	semidirect
661. #117	C₂³	semidirect
662. #117	C₂³	semidirect
663. #117	C₂³	semidirect
664. #117	C₂³	semidirect
665. #117	C₂³	semidirect
666. #117	C₂³	semidirect
667. #117	C₂³	semidirect
668. #117	C₂³	semidirect
669. #117	C₂³	semidirect
670. #117	C₂³	semidirect
671. #117	C₂³	semidirect
672. #117	C₂³	semidirect
673. #117	C₂³	semidirect
677. C₂×C₄⋊C₄	C₂³	semidirect
678. C₂×C₄⋊C₄	C₂³	semidirect
679. C₂×C₄⋊C₄	C₂³	semidirect
680. C₂×C₄⋊C₄	C₂³	semidirect
681. C₂×C₄⋊C₄	C₂³	semidirect
682. C₂×C₄⋊C₄	C₂³	semidirect
683. C₂×C₄⋊C₄	C₂³	semidirect
684. C₂×C₄⋊C₄	C₂³	semidirect
706. C₂×C₂²⋊C₄	C₂³	semidirect
707. C₂×C₂²⋊C₄	C₂³	semidirect
708. C₂×C₂²⋊C₄	C₂³	semidirect
709. C₂×C₂²⋊C₄	C₂³	semidirect
710. C₂×C₂²⋊C₄	C₂³	semidirect
711. C₂×C₂²⋊C₄	C₂³	semidirect
713. C₂×C₄²	C₂³	semidirect
714. C₂×C₄²	C₂³	semidirect
715. C₂×C₄²	C₂³	semidirect
716. C₂×C₄²	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#3562	2
#3561	2
#3560	2
#3551	2
#3545	2
#3542	2
#3540	2
#3538	2
#3535	2
#3534	2
#3533	2
#3532	2
#3521	2
#3520	2
#3514	2
#3513	2
#3505	2
#3500	2
#3494	2
#3490	2
#3489	2
#3485	2
#3484	2
#3481	2
#3475	2
C₂×#551	2
D₄×#41	2
C₂×#546	2