Subgroups — #63041

Order 256.

3714 conjugacy classes of subgroups.

The subgroup lattice has 1228 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	#3560	C₂	1	4	yes	maximal, complemented
3	#3551	C₂	1	1	yes	maximal, characteristic, complemented
4	#3546	C₂	1	2	yes	maximal, complemented
5	#3546	C₂	1	2	yes	maximal, complemented
6	#3543	C₂	1	2	yes	maximal, complemented
7	#3543	C₂	1	2	yes	maximal, complemented
8	#3542	C₂	1	4	yes	maximal, complemented
9	#3542	C₂	1	2	yes	maximal, complemented
10	#3540	C₂	1	1	yes	maximal, characteristic, complemented
11	#3539	C₂	1	2	yes	maximal, complemented
12	#3537	C₂	1	4	yes	maximal, complemented
13	#3537	C₂	1	1	yes	maximal, characteristic, complemented
14	#3534	C₂	1	4	yes	maximal, complemented
15	#3534	C₂	1	4	yes	maximal, complemented
16	#3533	C₂	1	2	yes	maximal, complemented
17	#3532	C₂	1	2	yes	maximal, complemented
18	#3532	C₂	1	4	yes	maximal, complemented
19	#3529	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#560	C₂	1	2	yes	maximal, complemented
21	#3521	C₂	1	2	yes	maximal, complemented
22	#3519	C₂	1	2	yes	maximal, complemented
23	#3513	C₂	1	2	yes	maximal, complemented
24	#3498	C₂	1	1	yes	maximal, characteristic, complemented
25	#3496	C₂	1	2	yes	maximal, complemented
26	#3488	C₂	1	2	yes	maximal, complemented
27	#3485	C₂	1	1	yes	maximal, characteristic, complemented
28	#3484	C₂	1	1	yes	maximal, characteristic, complemented
29	#3484	C₂	1	2	yes	maximal, complemented
30	C₂×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
31	C₂×H(5,𝔽₂)	C₂²	1	2	yes	complemented
32	C₂×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
35	#563	C₂²	1	1	yes	characteristic, complemented
36	#563	C₂²	1	2	yes	complemented
37	#563	C₂²	1	2	yes	complemented
38	#562	C₂²	1	2	yes	complemented
39	#562	C₂²	1	2	yes	complemented
40	#562	C₂²	1	2	yes	complemented
41	#562	C₂²	1	4	yes	complemented
42	#562	C₂²	1	4	yes	complemented
43	H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
44	H(3,𝔽₄)	C₂²	1	2	yes	complemented
45	#560	C₂²	1	1	yes	characteristic, complemented
46	#560	C₂²	1	4	yes	complemented
47	#560	C₂²	1	2	yes	complemented
48	#560	C₂²	1	2	yes	complemented
49	#560	C₂²	1	4	yes	complemented
50	#560	C₂²	1	4	yes	complemented
51	#560	C₂²	1	4	yes	complemented
52	#560	C₂²	1	4	yes	complemented
53	#560	C₂²	1	4	yes	complemented
54	#560	C₂²	1	2	yes	complemented
55	#560	C₂²	1	4	yes	complemented
56	#560	C₂²	1	2	yes	complemented
57	#560	C₂²	1	2	yes	complemented
58	#560	C₂²	1	1	yes	characteristic, complemented
59	#560	C₂²	1	4	yes	complemented
60	#560	C₂²	1	4	yes	complemented
61	#560	C₂²	1	4	yes	complemented
62	#560	C₂²	1	2	yes	complemented
63	#559	C₂²	1	2	yes	complemented
64	#559	C₂²	1	2	yes	complemented
65	#556	C₂²	1	2	yes	complemented
66	#556	C₂²	1	2	yes	complemented
67	#555	C₂²	1	2	yes	complemented
68	#555	C₂²	1	2	yes	complemented
69	#554	C₂²	1	2	yes	complemented
70	#553	C₂²	1	2	yes	complemented
71	#553	C₂²	1	2	yes	complemented
72	#553	C₂²	1	4	yes	complemented
73	#553	C₂²	1	4	yes	complemented
74	#553	C₂²	1	4	yes	complemented
75	#553	C₂²	1	4	yes	complemented
76	#553	C₂²	1	2	yes	complemented
77	#553	C₂²	1	4	yes	complemented
78	#553	C₂²	1	2	yes	complemented
79	#553	C₂²	1	4	yes	complemented
80	#553	C₂²	1	4	yes	complemented
81	#552	C₂²	1	2	yes	complemented
82	#552	C₂²	1	2	yes	complemented
83	#552	C₂²	1	4	yes	complemented
84	#551	C₂²	1	4	yes	complemented
85	#551	C₂²	1	4	yes	complemented
86	#551	C₂²	1	4	yes	complemented
87	#551	C₂²	1	2	yes	complemented
88	#551	C₂²	1	4	yes	complemented
89	#551	C₂²	1	2	yes	complemented
90	#551	C₂²	1	4	yes	complemented
91	#551	C₂²	1	4	yes	complemented
92	#550	C₂²	1	2	yes	complemented
93	#550	C₂²	1	2	yes	complemented
94	#550	C₂²	1	2	yes	complemented
95	#550	C₂²	1	4	yes	complemented
96	#550	C₂²	1	2	yes	complemented
97	#550	C₂²	1	2	yes	complemented
98	#548	C₂²	1	2	yes	complemented
99	#548	C₂²	1	2	yes	complemented
100	#547	C₂²	1	2	yes	complemented
101	#547	C₂²	1	2	yes	complemented
102	#547	C₂²	1	2	yes	complemented
103	#547	C₂²	1	2	yes	complemented
104	#547	C₂²	1	4	yes	complemented
105	#547	C₂²	1	4	yes	complemented
106	#546	C₂²	1	2	yes	complemented
107	#546	C₂²	1	2	yes	complemented
108	#546	C₂²	1	2	yes	complemented
109	#546	C₂²	1	4	yes	complemented
110	#546	C₂²	1	4	yes	complemented
111	#546	C₂²	1	4	yes	complemented
112	#546	C₂²	1	2	yes	complemented
113	#546	C₂²	1	2	yes	complemented
114	#546	C₂²	1	2	yes	complemented
115	#546	C₂²	1	4	yes	complemented
116	#546	C₂²	1	4	yes	complemented
117	#546	C₂²	1	4	yes	complemented
118	#546	C₂²	1	4	yes	complemented
119	#546	C₂²	1	4	yes	complemented
120	#546	C₂²	1	4	yes	complemented
121	#546	C₂²	1	4	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	4	yes	complemented
126	#546	C₂²	1	2	yes	complemented
127	#546	C₂²	1	4	yes	complemented
128	#546	C₂²	1	4	yes	complemented
129	#546	C₂²	1	4	yes	complemented
130	#546	C₂²	1	2	yes	complemented
131	#546	C₂²	1	2	yes	complemented
132	D₄²	C₂²	1	2	yes	complemented
133	D₄²	C₂²	1	2	yes	complemented
134	D₄²	C₂²	1	2	yes	complemented
135	D₄²	C₂²	1	4	yes	complemented
136	D₄²	C₂²	1	4	yes	complemented
137	D₄²	C₂²	1	4	yes	complemented
138	D₄²	C₂²	1	2	yes	complemented
139	D₄²	C₂²	1	2	yes	complemented
140	D₄²	C₂²	1	2	yes	complemented
141	D₄²	C₂²	1	2	yes	complemented
142	D₄²	C₂²	1	4	yes	complemented
143	D₄²	C₂²	1	4	yes	complemented
144	D₄²	C₂²	1	4	yes	complemented
145	D₄²	C₂²	1	4	yes	complemented
146	D₄²	C₂²	1	2	yes	complemented
147	D₄²	C₂²	1	2	yes	complemented
148	D₄²	C₂²	1	4	yes	complemented
149	D₄²	C₂²	1	4	yes	complemented
150	D₄²	C₂²	1	2	yes	complemented
151	#542	C₂²	1	2	yes	complemented
152	#542	C₂²	1	4	yes	complemented
153	#542	C₂²	1	2	yes	complemented
154	#542	C₂²	1	4	yes	complemented
155	#541	C₂²	1	2	yes	complemented
156	#540	C₂²	1	2	yes	complemented
157	#540	C₂²	1	4	yes	complemented
158	#540	C₂²	1	4	yes	complemented
159	#540	C₂²	1	2	yes	complemented
160	#540	C₂²	1	2	yes	complemented
161	#540	C₂²	1	4	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	#538	C₂²	1	4	yes	complemented
171	#538	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	#538	C₂²	1	4	yes	complemented
184	#537	C₂²	1	2	yes	complemented
185	#537	C₂²	1	2	yes	complemented
186	#537	C₂²	1	4	yes	complemented
187	#537	C₂²	1	4	yes	complemented
188	#537	C₂²	1	2	yes	complemented
189	#536	C₂²	1	1	yes	characteristic, complemented
190	#536	C₂²	1	1	yes	characteristic, complemented
191	#535	C₂²	1	1	yes	characteristic, complemented
192	#535	C₂²	1	2	yes	complemented
193	#535	C₂²	1	2	yes	complemented
194	#535	C₂²	1	1	yes	characteristic, complemented
195	#535	C₂²	1	4	yes	complemented
196	#535	C₂²	1	2	yes	complemented
197	#535	C₂²	1	4	yes	complemented
198	#535	C₂²	1	4	yes	complemented
199	#535	C₂²	1	4	yes	complemented
200	#535	C₂²	1	1	yes	characteristic, complemented
201	#535	C₂²	1	2	yes	complemented
202	#535	C₂²	1	4	yes	complemented
203	#535	C₂²	1	1	yes	characteristic, complemented
204	#535	C₂²	1	2	yes	complemented
205	#534	C₂²	1	2	yes	complemented
206	#534	C₂²	1	2	yes	complemented
207	#534	C₂²	1	4	yes	complemented
208	#534	C₂²	1	4	yes	complemented
209	#534	C₂²	1	2	yes	complemented
210	#534	C₂²	1	4	yes	complemented
211	#534	C₂²	1	4	yes	complemented
212	#534	C₂²	1	4	yes	complemented
213	#534	C₂²	1	4	yes	complemented
214	#534	C₂²	1	4	yes	complemented
215	#534	C₂²	1	4	yes	complemented
216	#534	C₂²	1	2	yes	complemented
217	#532	C₂²	1	2	yes	complemented
218	#532	C₂²	1	1	yes	characteristic, complemented
219	#532	C₂²	1	2	yes	complemented
220	#532	C₂²	1	2	yes	complemented
221	#532	C₂²	1	2	yes	complemented
222	C₂×#127	C₂²	1	2	yes	complemented
223	C₂×#127	C₂²	1	1	yes	characteristic, complemented
224	#529	C₂²	1	2	yes	complemented
225	#529	C₂²	1	2	yes	complemented
226	#529	C₂²	1	2	yes	complemented
227	#529	C₂²	1	4	yes	complemented
228	#529	C₂²	1	2	yes	complemented
229	#529	C₂²	1	2	yes	complemented
230	C₂×#126	C₂²	1	4	yes	complemented
231	#525	C₂²	1	2	yes	complemented
232	#525	C₂²	1	1	yes	characteristic, complemented
233	#525	C₂²	1	1	yes	characteristic, complemented
234	#525	C₂²	1	2	yes	complemented
235	#525	C₂²	1	1	yes	characteristic, complemented
236	#525	C₂²	1	2	yes	complemented
237	#525	C₂²	1	4	yes	complemented
238	#525	C₂²	1	4	yes	complemented
239	#525	C₂²	1	4	yes	complemented
240	#525	C₂²	1	1	yes	characteristic, complemented
241	C₂×#123	C₂²	1	2	yes	complemented
242	C₂×#123	C₂²	1	4	yes	complemented
243	C₂×#123	C₂²	1	2	yes	complemented
244	C₂×#121	C₂²	1	4	yes	complemented
245	C₂×#121	C₂²	1	4	yes	complemented
246	C₂×#121	C₂²	1	4	yes	complemented
247	C₂×#121	C₂²	1	2	yes	complemented
248	C₂×#121	C₂²	1	4	yes	complemented
249	C₂×#120	C₂²	1	4	yes	complemented
250	C₂×#120	C₂²	1	2	yes	complemented
251	C₂×#120	C₂²	1	2	yes	complemented
252	C₂×#120	C₂²	1	4	yes	complemented
253	#520	C₂²	1	2	yes	complemented
254	#518	C₂²	1	1	yes	characteristic, complemented
255	#518	C₂²	1	2	yes	complemented
256	#518	C₂²	1	1	yes	characteristic, complemented
257	C₄×#41	C₂²	1	1	yes	characteristic, complemented
258	C₂×C₄×D₄	C₂²	1	2	yes	complemented
259	C₂⁵	C₂³	1	2	yes	—
260	H(5,𝔽₂)	—	4	4	no	—
261	H(5,𝔽₂)	—	4	8	no	—
262	H(5,𝔽₂)	—	4	4	no	—
263	C₂×#41	—	4	4	no	—
264	C₂×#41	C₂³	1	1	yes	characteristic
265	C₂×#41	C₂³	1	2	yes	—
266	C₂×#41	C₂³	1	1	yes	characteristic
267	C₂×#41	C₂³	1	2	yes	—
268	C₂×#41	C₂³	1	2	yes	—
269	C₂×#41	C₂³	1	1	yes	characteristic
270	C₂×#41	C₂³	1	1	yes	characteristic
271	C₂×#41	C₂³	1	4	yes	—
272	C₂×#41	C₂³	1	2	yes	—
273	C₂×#41	C₂³	1	2	yes	—
274	C₂×#41	C₂³	1	1	yes	characteristic, complemented
275	C₂×#41	C₂³	1	2	yes	complemented
276	C₂×#41	C₂³	1	2	yes	complemented
277	C₂×#41	C₂³	1	4	yes	complemented
278	C₂×#41	C₂³	1	2	yes	complemented
279	C₂×#41	C₂³	1	4	yes	complemented
280	C₂×#41	C₂³	1	4	yes	complemented
281	C₂×#41	C₂³	1	4	yes	complemented
282	C₂²×Q₈	C₂³	1	1	yes	characteristic, complemented
283	C₂²×D₄	—	4	4	no	—
284	C₂²×D₄	C₂³	1	2	yes	—
285	C₂²×D₄	C₂³	1	1	yes	characteristic
286	C₂²×D₄	C₂³	1	1	yes	characteristic
287	C₂²×D₄	C₂³	1	2	yes	—
288	C₂²×D₄	C₂³	1	4	yes	—
289	C₂²×D₄	C₂³	1	2	yes	—
290	C₂²×D₄	C₂³	1	2	yes	—
291	C₂²×D₄	C₂³	1	4	yes	—
292	C₂²×D₄	C₂³	1	4	yes	—
293	C₂²×D₄	C₂³	1	2	yes	—
294	C₂²×D₄	C₂³	1	2	yes	—
295	C₂²×D₄	C₂³	1	1	yes	characteristic
296	C₂²×D₄	C₂³	1	2	yes	—
297	C₂²×D₄	C₂³	1	4	yes	—
298	C₂²×D₄	C₂³	1	1	yes	characteristic
299	C₂²×D₄	C₂³	1	2	yes	—
300	C₂²×D₄	C₂³	1	4	yes	—
301	C₂²×D₄	C₂³	1	4	yes	—
302	C₂²×D₄	C₂³	1	4	yes	—
303	C₂²×D₄	C₂³	1	4	yes	—
304	C₂²×D₄	C₂³	1	4	yes	—
305	C₂²×D₄	C₂³	1	4	yes	—
306	C₂²×D₄	C₂³	1	2	yes	complemented
307	C₂²×D₄	C₂³	1	4	yes	complemented
308	C₂²×D₄	C₂³	1	1	yes	characteristic, complemented
309	C₂²×D₄	C₂³	1	2	yes	complemented
310	C₂²×D₄	C₂³	1	4	yes	complemented
311	C₂²×D₄	C₂³	1	4	yes	complemented
312	C₂²×D₄	C₂³	1	4	yes	complemented
313	C₂²×D₄	C₂³	1	4	yes	complemented
314	C₂³×C₄	C₂³	1	1	yes	characteristic
315	C₂³×C₄	C₂³	1	2	yes	complemented
316	C₂³×C₄	C₂³	1	1	yes	characteristic, complemented
317	C₂³×C₄	C₂³	1	4	yes	complemented
318	C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
319	C₄⋊Q₈	C₂³	1	2	yes	complemented
320	C₄⋊Q₈	C₂³	1	2	yes	complemented
321	C₄⋊Q₈	C₂³	1	2	yes	complemented
322	C₄⋊Q₈	C₂³	1	2	yes	complemented
323	#127	C₂³	1	1	yes	characteristic
324	#127	C₂³	1	2	yes	—
325	#127	C₂³	1	2	yes	—
326	#127	C₂³	1	4	yes	—
327	#127	C₂³	1	2	yes	—
328	#127	C₂³	1	2	yes	—
329	#127	C₂³	1	2	yes	—
330	#127	C₂³	1	4	yes	—
331	#127	C₂³	1	4	yes	—
332	#127	C₂³	1	2	yes	—
333	#127	C₂³	1	2	yes	complemented
334	#127	C₂³	1	2	yes	complemented
335	#127	C₂³	1	2	yes	complemented
336	#127	C₂³	1	2	yes	complemented
337	#127	C₂³	1	4	yes	complemented
338	#127	C₂³	1	4	yes	complemented
339	#126	C₂³	1	2	yes	—
340	#126	C₂³	1	4	yes	—
341	#126	C₂³	1	4	yes	—
342	#126	C₂³	1	4	yes	—
343	#126	C₂³	1	2	yes	—
344	#126	C₂³	1	2	yes	—
345	#126	C₂³	1	4	yes	—
346	#126	C₂³	1	4	yes	—
347	#126	C₂³	1	4	yes	complemented
348	#126	C₂³	1	4	yes	complemented
349	#126	C₂³	1	4	yes	complemented
350	#126	C₂³	1	4	yes	complemented
351	#126	C₂³	1	2	yes	complemented
352	#126	C₂³	1	4	yes	complemented
353	#126	C₂³	1	2	yes	complemented
354	#126	C₂³	1	2	yes	complemented
355	#126	C₂³	1	4	yes	complemented
356	#126	C₂³	1	4	yes	complemented
357	#126	C₂³	1	4	yes	complemented
358	#126	C₂³	1	4	yes	complemented
359	#126	C₂³	1	4	yes	complemented
360	#126	C₂³	1	4	yes	complemented
361	#125	C₂³	1	4	yes	complemented
362	#125	C₂³	1	2	yes	complemented
363	#125	C₂³	1	2	yes	complemented
364	#125	C₂³	1	2	yes	complemented
365	#125	C₂³	1	2	yes	complemented
366	#125	C₂³	1	2	yes	complemented
367	#125	C₂³	1	4	yes	complemented
368	#125	C₂³	1	4	yes	complemented
369	#125	C₂³	1	4	yes	complemented
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	2	yes	—
375	#124	C₂³	1	1	yes	characteristic
376	#124	C₂³	1	2	yes	—
377	#124	C₂³	1	2	yes	—
378	#124	C₂³	1	2	yes	—
379	#124	C₂³	1	4	yes	—
380	#124	C₂³	1	4	yes	—
381	#124	C₂³	1	4	yes	—
382	#124	C₂³	1	4	yes	—
383	#124	C₂³	1	2	yes	—
384	#124	C₂³	1	4	yes	—
385	#124	C₂³	1	4	yes	complemented
386	#124	C₂³	1	2	yes	complemented
387	#124	C₂³	1	2	yes	complemented
388	#124	C₂³	1	1	yes	characteristic, complemented
389	#124	C₂³	1	4	yes	complemented
390	#124	C₂³	1	2	yes	complemented
391	#124	C₂³	1	2	yes	complemented
392	#124	C₂³	1	4	yes	complemented
393	#124	C₂³	1	4	yes	complemented
394	#124	C₂³	1	4	yes	complemented
395	#123	C₂³	1	1	yes	characteristic
396	#123	C₂³	1	2	yes	—
397	#123	C₂³	1	2	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	2	yes	—
405	#123	C₂³	1	1	yes	characteristic
406	#123	C₂³	1	2	yes	—
407	#123	C₂³	1	2	yes	—
408	#123	C₂³	1	1	yes	characteristic
409	#123	C₂³	1	4	yes	—
410	#123	C₂³	1	2	yes	—
411	#123	C₂³	1	4	yes	—
412	#123	C₂³	1	2	yes	—
413	#123	C₂³	1	2	yes	—
414	#123	C₂³	1	4	yes	—
415	#123	C₂³	1	4	yes	—
416	#123	C₂³	1	4	yes	—
417	#123	C₂³	1	4	yes	—
418	#123	C₂³	1	4	yes	—
419	#123	C₂³	1	4	yes	—
420	#123	C₂³	1	2	yes	complemented
421	#123	C₂³	1	1	yes	characteristic, complemented
422	#123	C₂³	1	4	yes	complemented
423	#123	C₂³	1	2	yes	complemented
424	#123	C₂³	1	2	yes	complemented
425	#123	C₂³	1	2	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	4	yes	complemented
435	#123	C₂³	1	2	yes	complemented
436	#123	C₂³	1	4	yes	complemented
437	#123	C₂³	1	4	yes	complemented
438	#123	C₂³	1	2	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	4	yes	complemented
446	#123	C₂³	1	4	yes	complemented
447	#123	C₂³	1	4	yes	complemented
448	#123	C₂³	1	4	yes	complemented
449	#123	C₂³	1	4	yes	complemented
450	#123	C₂³	1	4	yes	complemented
451	#123	C₂³	1	4	yes	complemented
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	2	yes	—
457	C₂²⋊Q₈	C₂³	1	2	yes	—
458	C₂²⋊Q₈	C₂³	1	2	yes	complemented
459	C₂²⋊Q₈	C₂³	1	2	yes	complemented
460	C₂²⋊Q₈	C₂³	1	4	yes	complemented
461	C₂²⋊Q₈	C₂³	1	2	yes	complemented
462	C₂²⋊Q₈	C₂³	1	4	yes	complemented
463	C₂²⋊Q₈	C₂³	1	2	yes	complemented
464	C₂²⋊Q₈	C₂³	1	4	yes	complemented
465	C₂²⋊Q₈	C₂³	1	2	yes	complemented
466	C₂²⋊Q₈	C₂³	1	4	yes	complemented
467	C₂²⋊Q₈	C₂³	1	2	yes	complemented
468	C₂²⋊Q₈	C₂³	1	2	yes	complemented
469	C₂²⋊Q₈	C₂³	1	2	yes	complemented
470	C₂²⋊Q₈	C₂³	1	4	yes	complemented
471	C₂²⋊Q₈	C₂³	1	2	yes	complemented
472	C₂²⋊Q₈	C₂³	1	4	yes	complemented
473	C₂²⋊Q₈	C₂³	1	4	yes	complemented
474	C₂²⋊Q₈	C₂³	1	4	yes	complemented
475	C₂²⋊Q₈	C₂³	1	4	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	#121	C₂³	1	2	yes	—
481	#121	C₂³	1	2	yes	—
482	#121	C₂³	1	2	yes	—
483	#121	C₂³	1	4	yes	—
484	#121	C₂³	1	4	yes	—
485	#121	C₂³	1	4	yes	—
486	#121	C₂³	1	4	yes	—
487	#121	C₂³	1	4	yes	—
488	#121	C₂³	1	4	yes	—
489	#121	C₂³	1	2	yes	—
490	#121	C₂³	1	4	yes	—
491	#121	C₂³	1	2	yes	—
492	#121	C₂³	1	4	yes	—
493	#121	C₂³	1	4	yes	—
494	#121	C₂³	1	4	yes	—
495	#121	C₂³	1	4	yes	—
496	#121	C₂³	1	4	yes	—
497	#121	C₂³	1	2	yes	—
498	#121	C₂³	1	4	yes	—
499	#121	C₂³	1	2	yes	—
500	#121	C₂³	1	2	yes	—
501	#121	C₂³	1	2	yes	—
502	#121	C₂³	1	2	yes	—
503	#121	C₂³	1	2	yes	—
504	#121	C₂³	1	2	yes	—
505	#121	C₂³	1	2	yes	—
506	#121	C₂³	1	2	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	2	yes	—
515	#121	C₂³	1	2	yes	—
516	#121	C₂³	1	4	yes	—
517	#121	C₂³	1	4	yes	—
518	#121	C₂³	1	4	yes	—
519	#121	C₂³	1	4	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	—
526	#121	C₂³	1	4	yes	—
527	#121	C₂³	1	4	yes	—
528	#121	C₂³	1	4	yes	—
529	#121	C₂³	1	4	yes	—
530	#121	C₂³	1	4	yes	—
531	#121	C₂³	1	4	yes	complemented
532	#121	C₂³	1	4	yes	complemented
533	#121	C₂³	1	2	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	4	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	2	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	2	yes	complemented
547	#121	C₂³	1	4	yes	complemented
548	#121	C₂³	1	4	yes	complemented
549	#121	C₂³	1	4	yes	complemented
550	#121	C₂³	1	4	yes	complemented
551	#121	C₂³	1	4	yes	complemented
552	#121	C₂³	1	4	yes	complemented
553	#121	C₂³	1	4	yes	complemented
554	#121	C₂³	1	2	yes	complemented
555	#121	C₂³	1	2	yes	complemented
556	#121	C₂³	1	4	yes	complemented
557	#121	C₂³	1	2	yes	complemented
558	#121	C₂³	1	4	yes	complemented
559	#121	C₂³	1	4	yes	complemented
560	#121	C₂³	1	4	yes	complemented
561	#121	C₂³	1	4	yes	complemented
562	#121	C₂³	1	4	yes	complemented
563	#121	C₂³	1	4	yes	complemented
564	#121	C₂³	1	4	yes	complemented
565	#121	C₂³	1	4	yes	complemented
566	#121	C₂³	1	4	yes	complemented
567	#121	C₂³	1	4	yes	complemented
568	#121	C₂³	1	4	yes	complemented
569	#121	C₂³	1	4	yes	complemented
570	#121	C₂³	1	4	yes	complemented
571	#120	C₂³	1	2	yes	—
572	#120	C₂³	1	2	yes	—
573	#120	C₂³	1	4	yes	—
574	#120	C₂³	1	2	yes	—
575	#120	C₂³	1	1	yes	characteristic
576	#120	C₂³	1	1	yes	characteristic
577	#120	C₂³	1	2	yes	—
578	#120	C₂³	1	4	yes	—
579	#120	C₂³	1	4	yes	—
580	#120	C₂³	1	2	yes	—
581	#120	C₂³	1	4	yes	—
582	#120	C₂³	1	2	yes	—
583	#120	C₂³	1	4	yes	—
584	#120	C₂³	1	2	yes	—
585	#120	C₂³	1	4	yes	—
586	#120	C₂³	1	4	yes	—
587	#120	C₂³	1	4	yes	—
588	#120	C₂³	1	4	yes	—
589	#120	C₂³	1	4	yes	—
590	#120	C₂³	1	4	yes	—
591	#120	C₂³	1	4	yes	—
592	#120	C₂³	1	4	yes	—
593	#120	C₂³	1	4	yes	—
594	#120	C₂³	1	4	yes	—
595	#120	C₂³	1	4	yes	—
596	#120	C₂³	1	4	yes	—
597	#120	C₂³	1	4	yes	—
598	#120	C₂³	1	1	yes	characteristic
599	#120	C₂³	1	2	yes	—
600	#120	C₂³	1	4	yes	—
601	#120	C₂³	1	4	yes	—
602	#120	C₂³	1	4	yes	—
603	#120	C₂³	1	2	yes	—
604	#120	C₂³	1	4	yes	—
605	#120	C₂³	1	4	yes	—
606	#120	C₂³	1	4	yes	—
607	#120	C₂³	1	2	yes	complemented
608	#120	C₂³	1	1	yes	characteristic, complemented
609	#120	C₂³	1	4	yes	complemented
610	#120	C₂³	1	4	yes	complemented
611	#120	C₂³	1	2	yes	complemented
612	#120	C₂³	1	4	yes	complemented
613	#120	C₂³	1	4	yes	complemented
614	#120	C₂³	1	4	yes	complemented
615	#120	C₂³	1	4	yes	complemented
616	#120	C₂³	1	4	yes	complemented
617	#120	C₂³	1	4	yes	complemented
618	#120	C₂³	1	4	yes	complemented
619	#120	C₂³	1	4	yes	complemented
620	#120	C₂³	1	2	yes	complemented
621	C₄×Q₈	C₂³	1	2	yes	complemented
622	C₄×Q₈	C₂³	1	2	yes	complemented
623	C₄×Q₈	C₂³	1	2	yes	complemented
624	C₄×Q₈	C₂³	1	2	yes	complemented
625	C₄×Q₈	C₂³	1	4	yes	complemented
626	C₄×D₄	C₂³	1	2	yes	—
627	C₄×D₄	C₂³	1	2	yes	—
628	C₄×D₄	C₂³	1	2	yes	—
629	C₄×D₄	C₂³	1	4	yes	—
630	C₄×D₄	C₂³	1	4	yes	—
631	C₄×D₄	C₂³	1	4	yes	—
632	C₄×D₄	C₂³	1	2	yes	—
633	C₄×D₄	C₂³	1	2	yes	—
634	C₄×D₄	C₂³	1	2	yes	—
635	C₄×D₄	C₂³	1	2	yes	—
636	C₄×D₄	C₂³	1	2	yes	—
637	C₄×D₄	C₂³	1	2	yes	—
638	C₄×D₄	C₂³	1	2	yes	—
639	C₄×D₄	C₂³	1	2	yes	—
640	C₄×D₄	C₂³	1	2	yes	—
641	C₄×D₄	C₂³	1	4	yes	—
642	C₄×D₄	C₂³	1	4	yes	—
643	C₄×D₄	C₂³	1	4	yes	—
644	C₄×D₄	C₂³	1	4	yes	complemented
645	C₄×D₄	C₂³	1	4	yes	complemented
646	C₄×D₄	C₂³	1	2	yes	complemented
647	C₄×D₄	C₂³	1	2	yes	complemented
648	C₄×D₄	C₂³	1	4	yes	complemented
649	C₄×D₄	C₂³	1	4	yes	complemented
650	C₄×D₄	C₂³	1	2	yes	complemented
651	C₄×D₄	C₂³	1	4	yes	complemented
652	C₄×D₄	C₂³	1	4	yes	complemented
653	C₄×D₄	C₂³	1	2	yes	complemented
654	C₄×D₄	C₂³	1	2	yes	complemented
655	C₄×D₄	C₂³	1	2	yes	complemented
656	C₄×D₄	C₂³	1	4	yes	complemented
657	C₄×D₄	C₂³	1	4	yes	complemented
658	C₄×D₄	C₂³	1	4	yes	complemented
659	C₄×D₄	C₂³	1	4	yes	complemented
660	C₄×D₄	C₂³	1	4	yes	complemented
661	C₄×D₄	C₂³	1	4	yes	complemented
662	C₄×D₄	C₂³	1	4	yes	complemented
663	C₄×D₄	C₂³	1	4	yes	complemented
664	C₄×D₄	C₂³	1	4	yes	complemented
665	C₄×D₄	C₂³	1	4	yes	complemented
666	C₄×D₄	C₂³	1	4	yes	complemented
667	C₄×D₄	C₂³	1	4	yes	complemented
668	C₄×D₄	C₂³	1	4	yes	complemented
669	C₄×D₄	C₂³	1	4	yes	complemented
670	C₄×D₄	C₂³	1	4	yes	complemented
671	C₄×D₄	C₂³	1	4	yes	complemented
672	C₄×D₄	C₂³	1	4	yes	complemented
673	#117	C₂³	1	2	yes	—
674	#117	C₂³	1	1	yes	characteristic
675	#117	C₂³	1	1	yes	characteristic
676	#117	C₂³	1	2	yes	—
677	#117	C₂³	1	2	yes	complemented
678	#117	C₂³	1	1	yes	characteristic, complemented
679	#117	C₂³	1	1	yes	characteristic, complemented
680	#117	C₂³	1	1	yes	characteristic, complemented
681	#117	C₂³	1	2	yes	complemented
682	#117	C₂³	1	4	yes	complemented
683	#117	C₂³	1	4	yes	complemented
684	#117	C₂³	1	4	yes	complemented
685	#117	C₂³	1	4	yes	complemented
686	#117	C₂³	1	4	yes	complemented
687	#117	C₂³	1	4	yes	complemented
688	#117	C₂³	1	4	yes	complemented
689	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
690	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
691	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
692	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
693	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
694	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
695	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
696	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
697	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
700	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
701	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
702	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
703	C₂×C₂²⋊C₄	C₂³	1	4	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	4	yes	complemented
710	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
711	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
712	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
713	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
714	C₂×C₄²	C₂³	1	2	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	—	8	4	no	—
719	C₂⁴	C₂⁴	1	4	yes	—
720	C₂⁴	C₂⁴	1	2	yes	—
721	C₂⁴	C₂⁴	1	2	yes	—
722	C₂⁴	C₂⁴	1	4	yes	—
723	C₂⁴	C₂⁴	1	2	yes	—
724	C₂⁴	C₂⁴	1	4	yes	—
725	C₂⁴	C₂⁴	1	2	yes	—
726	C₂⁴	C₂⁴	1	2	yes	—
727	C₂⁴	C₂⁴	1	4	yes	—
728	C₂⁴	C₂⁴	1	1	yes	characteristic
729	C₂⁴	C₂⁴	1	1	yes	characteristic
730	#41	—	2	8	no	—
731	#41	—	2	4	no	—
732	#41	—	4	2	no	—
733	#41	—	4	4	no	—
734	#41	—	4	2	no	—
735	#41	—	4	8	no	—
736	#41	—	4	8	no	—
737	#41	—	4	4	no	—
738	#41	—	4	4	no	—
739	#41	—	4	4	no	—
740	#41	—	4	4	no	—
741	#41	—	4	2	no	—
742	#41	—	4	2	no	—
743	#41	—	4	4	no	—
744	#41	—	4	4	no	—
745	#41	—	8	4	no	—
746	#41	—	8	4	no	—
747	#41	—	8	4	no	—
748	C₂×Q₈	—	4	2	no	—
749	C₂×Q₈	C₂⁴	1	2	yes	—
750	C₂×Q₈	C₂⁴	1	1	yes	characteristic
751	C₂×Q₈	C₂⁴	1	2	yes	—
752	C₂×Q₈	C₂⁴	1	4	yes	—
753	C₂×Q₈	C₂⁴	1	2	yes	—
754	C₂×Q₈	C₂⁴	1	1	yes	characteristic
755	C₂×Q₈	C₂⁴	1	2	yes	—
756	C₂×Q₈	C₂⁴	1	1	yes	characteristic
757	C₂×D₄	—	2	4	no	—
758	C₂×D₄	—	2	8	no	—
759	C₂×D₄	—	2	4	no	—
760	C₂×D₄	—	2	8	no	—
761	C₂×D₄	—	4	2	no	—
762	C₂×D₄	—	4	4	no	—
763	C₂×D₄	—	4	4	no	—
764	C₂×D₄	—	4	2	no	—
765	C₂×D₄	—	4	2	no	—
766	C₂×D₄	—	4	8	no	—
767	C₂×D₄	—	4	4	no	—
768	C₂×D₄	—	4	4	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	8	no	—
774	C₂×D₄	—	4	4	no	—
775	C₂×D₄	—	4	4	no	—
776	C₂×D₄	—	4	8	no	—
777	C₂×D₄	—	8	4	no	—
778	C₂×D₄	—	8	4	no	—
779	C₂×D₄	—	8	4	no	—
780	C₂×D₄	—	8	4	no	—
781	C₂×D₄	—	8	4	no	—
782	C₂×D₄	—	8	4	no	—
783	C₂×D₄	—	8	4	no	—
784	C₂×D₄	—	8	4	no	—
785	C₂×D₄	—	8	4	no	—
786	C₂×D₄	—	8	4	no	—
787	C₂×D₄	C₂⁴	1	4	yes	—
788	C₂×D₄	C₂⁴	1	2	yes	—
789	C₂×D₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
794	C₂×D₄	C₂⁴	1	2	yes	—
795	C₂×D₄	C₂⁴	1	2	yes	—
796	C₂×D₄	C₂⁴	1	1	yes	characteristic
797	C₂×D₄	C₂⁴	1	2	yes	—
798	C₂×D₄	C₂⁴	1	2	yes	—
799	C₂×D₄	C₂⁴	1	2	yes	—
800	C₂×D₄	C₂⁴	1	4	yes	—
801	C₂×D₄	C₂⁴	1	2	yes	—
802	C₂×D₄	C₂⁴	1	4	yes	—
803	C₂×D₄	C₂⁴	1	2	yes	—
804	C₂×D₄	C₂⁴	1	4	yes	—
805	C₂×D₄	C₂⁴	1	2	yes	—
806	C₂×D₄	C₂⁴	1	4	yes	—
807	C₂×D₄	C₂⁴	1	4	yes	—
808	C₂×D₄	C₂⁴	1	4	yes	—
809	C₂×D₄	C₂⁴	1	4	yes	—
810	C₂×D₄	C₂⁴	1	4	yes	—
811	C₂×D₄	C₂⁴	1	4	yes	—
812	C₂×D₄	C₂⁴	1	4	yes	—
813	C₂×D₄	C₂⁴	1	4	yes	—
814	C₂×D₄	C₂⁴	1	4	yes	—
815	C₂×D₄	C₂⁴	1	4	yes	—
816	C₂×D₄	C₂⁴	1	4	yes	—
817	C₂×D₄	C₂⁴	1	4	yes	—
818	C₂×D₄	C₂⁴	1	2	yes	—
819	C₂×D₄	C₂⁴	1	2	yes	—
820	C₂×D₄	C₂⁴	1	4	yes	—
821	C₂×D₄	C₂⁴	1	4	yes	—
822	C₂×D₄	C₂⁴	1	4	yes	—
823	C₂×D₄	C₂⁴	1	4	yes	—
824	C₂×D₄	C₂⁴	1	2	yes	—
825	C₂×D₄	C₂⁴	1	4	yes	—
826	C₂×D₄	C₂⁴	1	1	yes	characteristic
827	C₂×D₄	C₂⁴	1	2	yes	—
828	C₂×D₄	C₂⁴	1	4	yes	—
829	C₂×D₄	C₂⁴	1	1	yes	characteristic
830	C₂×D₄	C₂⁴	1	2	yes	—
831	C₂×D₄	C₂⁴	1	2	yes	—
832	C₂×D₄	C₂⁴	1	4	yes	—
833	C₂×D₄	C₂⁴	1	2	yes	—
834	C₂×D₄	C₂⁴	1	4	yes	—
835	C₂×D₄	C₂⁴	1	2	yes	—
836	C₂×D₄	C₂⁴	1	4	yes	—
837	C₂×D₄	C₂⁴	1	2	yes	—
838	C₂×D₄	C₂⁴	1	4	yes	—
839	C₂×D₄	C₂⁴	1	1	yes	characteristic
840	C₂×D₄	C₂⁴	1	2	yes	—
841	C₂×D₄	C₂⁴	1	2	yes	—
842	C₂×D₄	C₂⁴	1	2	yes	—
843	C₂×D₄	C₂⁴	1	4	yes	—
844	C₂×D₄	C₂⁴	1	1	yes	characteristic
845	C₂×D₄	C₂⁴	1	1	yes	characteristic
846	C₂²×C₄	—	4	2	no	—
847	C₂²×C₄	—	4	2	no	—
848	C₂²×C₄	—	4	4	no	—
849	C₂²×C₄	—	8	4	no	—
850	C₂²×C₄	C₂⁴	1	2	yes	—
851	C₂²×C₄	C₂⁴	1	2	yes	—
852	C₂²×C₄	C₂⁴	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴	1	4	yes	—
854	C₂²×C₄	C₂⁴	1	2	yes	—
855	C₂²×C₄	C₂⁴	1	2	yes	—
856	C₂²×C₄	C₂⁴	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴	1	4	yes	—
859	C₂²×C₄	C₂⁴	1	2	yes	—
860	C₂²×C₄	C₂⁴	1	2	yes	—
861	C₂²×C₄	C₂⁴	1	2	yes	—
862	C₂²×C₄	C₂⁴	1	4	yes	—
863	C₂²×C₄	C₂⁴	1	4	yes	—
864	C₂²×C₄	C₂⁴	1	4	yes	—
865	C₂²×C₄	C₂⁴	1	4	yes	—
866	C₂²×C₄	C₂⁴	1	4	yes	—
867	C₂²×C₄	C₂⁴	1	2	yes	—
868	C₂²×C₄	C₂⁴	1	4	yes	—
869	C₂²×C₄	C₂⁴	1	4	yes	—
870	C₂²×C₄	C₂⁴	1	4	yes	—
871	C₂²×C₄	C₂⁴	1	2	yes	—
872	C₂²×C₄	C₂⁴	1	4	yes	—
873	C₂²×C₄	C₂⁴	1	4	yes	—
874	C₂²×C₄	C₂⁴	1	4	yes	—
875	C₂²×C₄	C₂⁴	1	4	yes	—
876	C₂²×C₄	C₂⁴	1	4	yes	—
877	C₂²×C₄	C₂⁴	1	2	yes	—
878	C₂²×C₄	C₂⁴	1	4	yes	—
879	C₂²×C₄	C₂⁴	1	2	yes	—
880	C₂²×C₄	C₂⁴	1	1	yes	characteristic
881	C₂²×C₄	C₂⁴	1	2	yes	—
882	C₂²×C₄	C₂⁴	1	1	yes	characteristic
883	C₄⋊C₄	C₂⁴	1	2	yes	—
884	C₄⋊C₄	C₂⁴	1	4	yes	—
885	C₄⋊C₄	C₂⁴	1	2	yes	—
886	C₄⋊C₄	C₂⁴	1	2	yes	—
887	C₄⋊C₄	C₂⁴	1	2	yes	—
888	C₄⋊C₄	C₂⁴	1	2	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	2	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	4	yes	—
900	C₄⋊C₄	C₂⁴	1	4	yes	—
901	C₄⋊C₄	C₂⁴	1	4	yes	—
902	C₄⋊C₄	C₂⁴	1	4	yes	—
903	C₄⋊C₄	C₂⁴	1	4	yes	—
904	C₄⋊C₄	C₂⁴	1	4	yes	—
905	C₄⋊C₄	C₂⁴	1	2	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	2	yes	—
910	C₄⋊C₄	C₂⁴	1	4	yes	—
911	C₄⋊C₄	C₂⁴	1	2	yes	—
912	C₄⋊C₄	C₂⁴	1	2	yes	—
913	C₄⋊C₄	C₂⁴	1	4	yes	—
914	C₄⋊C₄	C₂⁴	1	2	yes	—
915	C₄⋊C₄	C₂⁴	1	2	yes	—
916	C₄⋊C₄	C₂⁴	1	4	yes	—
917	C₄⋊C₄	C₂⁴	1	2	yes	—
918	C₄⋊C₄	C₂⁴	1	2	yes	—
919	C₄⋊C₄	C₂⁴	1	4	yes	—
920	C₄⋊C₄	C₂⁴	1	2	yes	—
921	C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₂²⋊C₄	C₂⁴	1	2	yes	—
923	C₂²⋊C₄	C₂⁴	1	2	yes	—
924	C₂²⋊C₄	C₂⁴	1	4	yes	—
925	C₂²⋊C₄	C₂⁴	1	2	yes	—
926	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
927	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
928	C₂²⋊C₄	C₂⁴	1	2	yes	—
929	C₂²⋊C₄	C₂⁴	1	4	yes	—
930	C₂²⋊C₄	C₂⁴	1	4	yes	—
931	C₂²⋊C₄	C₂⁴	1	2	yes	—
932	C₂²⋊C₄	C₂⁴	1	2	yes	—
933	C₂²⋊C₄	C₂⁴	1	2	yes	—
934	C₂²⋊C₄	C₂⁴	1	4	yes	—
935	C₂²⋊C₄	C₂⁴	1	2	yes	—
936	C₂²⋊C₄	C₂⁴	1	2	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	4	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	4	yes	—
947	C₂²⋊C₄	C₂⁴	1	4	yes	—
948	C₂²⋊C₄	C₂⁴	1	4	yes	—
949	C₂²⋊C₄	C₂⁴	1	4	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	1	yes	characteristic
956	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
957	C₂²⋊C₄	C₂⁴	1	2	yes	—
958	C₂²⋊C₄	C₂⁴	1	2	yes	—
959	C₂²⋊C₄	C₂⁴	1	4	yes	—
960	C₂²⋊C₄	C₂⁴	1	2	yes	—
961	C₂²⋊C₄	C₂⁴	1	2	yes	—
962	C₂²⋊C₄	C₂⁴	1	4	yes	—
963	C₂²⋊C₄	C₂⁴	1	4	yes	—
964	C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
970	C₂²⋊C₄	C₂⁴	1	4	yes	—
971	C₂²⋊C₄	C₂⁴	1	4	yes	—
972	C₂²⋊C₄	C₂⁴	1	2	yes	—
973	C₂²⋊C₄	C₂⁴	1	2	yes	—
974	C₂²⋊C₄	C₂⁴	1	2	yes	—
975	C₂²⋊C₄	C₂⁴	1	2	yes	—
976	C₂²⋊C₄	C₂⁴	1	2	yes	—
977	C₂²⋊C₄	C₂⁴	1	4	yes	—
978	C₂²⋊C₄	C₂⁴	1	2	yes	—
979	C₂²⋊C₄	C₂⁴	1	2	yes	—
980	C₂²⋊C₄	C₂⁴	1	4	yes	—
981	C₂²⋊C₄	C₂⁴	1	2	yes	—
982	C₂²⋊C₄	C₂⁴	1	2	yes	—
983	C₂²⋊C₄	C₂⁴	1	2	yes	—
984	C₂²⋊C₄	C₂⁴	1	4	yes	—
985	C₂²⋊C₄	C₂⁴	1	4	yes	—
986	C₂²⋊C₄	C₂⁴	1	2	yes	—
987	C₄²	C₂⁴	1	1	yes	characteristic
988	C₄²	C₂⁴	1	2	yes	—
989	C₄²	C₂⁴	1	2	yes	—
990	C₄²	C₂⁴	1	2	yes	—
991	C₄²	C₂⁴	1	1	yes	characteristic
992	C₄²	C₂⁴	1	2	yes	—
993	C₄²	C₂⁴	1	4	yes	—
994	C₄²	C₂⁴	1	2	yes	—
995	C₄²	C₂⁴	1	2	yes	—
996	C₄²	C₂⁴	1	2	yes	—
997	C₄²	C₂⁴	1	4	yes	—
998	C₄²	C₂⁴	1	2	yes	—
999	C₄²	C₂⁴	1	4	yes	—
1000	C₄²	C₂⁴	1	4	yes	—
1001	C₂³	—	2	4	no	—
1002	C₂³	—	2	8	no	—
1003	C₂³	—	2	8	no	—
1004	C₂³	—	2	4	no	—
1005	C₂³	—	4	1	no	—
1006	C₂³	—	4	2	no	—
1007	C₂³	—	4	1	no	—
1008	C₂³	—	4	4	no	—
1009	C₂³	—	4	2	no	—
1010	C₂³	—	4	4	no	—
1011	C₂³	—	4	4	no	—
1012	C₂³	—	4	4	no	—
1013	C₂³	—	4	2	no	—
1014	C₂³	—	4	4	no	—
1015	C₂³	—	4	4	no	—
1016	C₂³	—	4	4	no	—
1017	C₂³	—	4	4	no	—
1018	C₂³	—	4	4	no	—
1019	C₂³	—	4	4	no	—
1020	C₂³	—	4	4	no	—
1021	C₂³	—	4	2	no	—
1022	C₂³	—	4	2	no	—
1023	C₂³	—	4	4	no	—
1024	C₂³	—	4	4	no	—
1025	C₂³	—	4	4	no	—
1026	C₂³	—	4	4	no	—
1027	C₂³	—	8	16	no	—
1028	C₂³	C₂⁵	1	2	yes	—
1029	C₂³	C₂⁵	1	1	yes	characteristic
1030	C₂³	C₂⁵	1	1	yes	characteristic
1031	C₂³	C₂⁵	1	4	yes	—
1032	C₂³	C₂⁵	1	2	yes	—
1033	C₂³	C₂⁵	1	1	yes	characteristic
1034	C₂³	C₂⁵	1	2	yes	—
1035	C₂³	C₂⁵	1	4	yes	—
1036	C₂³	C₂⁵	1	2	yes	—
1037	C₂³	C₂⁵	1	2	yes	—
1038	C₂³	C₂⁵	1	2	yes	—
1039	Q₈	—	2	4	no	—
1040	Q₈	—	2	2	no	—
1041	Q₈	—	4	2	no	—
1042	Q₈	—	4	2	no	—
1043	Q₈	—	4	1	no	—
1044	Q₈	—	4	1	no	—
1045	Q₈	—	4	2	no	—
1046	Q₈	—	4	4	no	—
1047	D₄	—	2	4	no	—
1048	D₄	—	2	8	no	—
1049	D₄	—	2	8	no	—
1050	D₄	—	2	4	no	—
1051	D₄	—	2	4	no	—
1052	D₄	—	2	8	no	—
1053	D₄	—	2	4	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	2	4	no	—
1056	D₄	—	2	2	no	—
1057	D₄	—	4	4	no	—
1058	D₄	—	4	2	no	—
1059	D₄	—	4	2	no	—
1060	D₄	—	4	4	no	—
1061	D₄	—	4	1	no	—
1062	D₄	—	4	1	no	—
1063	D₄	—	4	2	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	4	1	no	—
1066	D₄	—	4	2	no	—
1067	D₄	—	4	2	no	—
1068	D₄	—	4	2	no	—
1069	D₄	—	4	1	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	4	no	—
1076	D₄	—	4	2	no	—
1077	D₄	—	4	4	no	—
1078	D₄	—	4	4	no	—
1079	D₄	—	4	4	no	—
1080	D₄	—	4	4	no	—
1081	D₄	—	4	2	no	—
1082	D₄	—	4	4	no	—
1083	D₄	—	4	2	no	—
1084	D₄	—	4	4	no	—
1085	D₄	—	4	2	no	—
1086	D₄	—	4	2	no	—
1087	D₄	—	4	4	no	—
1088	D₄	—	4	2	no	—
1089	D₄	—	4	4	no	—
1090	D₄	—	4	4	no	—
1091	D₄	—	4	2	no	—
1092	D₄	—	4	4	no	—
1093	D₄	—	4	4	no	—
1094	D₄	—	4	4	no	—
1095	D₄	—	4	2	no	—
1096	D₄	—	4	4	no	—
1097	D₄	—	4	4	no	—
1098	D₄	—	4	4	no	—
1099	D₄	—	4	4	no	—
1100	D₄	—	4	4	no	—
1101	D₄	—	4	4	no	—
1102	D₄	—	4	4	no	—
1103	D₄	—	4	4	no	—
1104	D₄	—	4	2	no	—
1105	D₄	H(5,𝔽₂)	1	4	yes	—
1106	C₂×C₄	—	2	8	no	—
1107	C₂×C₄	—	2	4	no	—
1108	C₂×C₄	—	2	4	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	4	no	—
1112	C₂×C₄	—	2	4	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	4	1	no	—
1115	C₂×C₄	—	4	2	no	—
1116	C₂×C₄	—	4	1	no	—
1117	C₂×C₄	—	4	2	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	4	no	—
1120	C₂×C₄	—	4	2	no	—
1121	C₂×C₄	—	4	4	no	—
1122	C₂×C₄	—	4	4	no	—
1123	C₂×C₄	—	4	4	no	—
1124	C₂×C₄	—	4	4	no	—
1125	C₂×C₄	—	4	4	no	—
1126	C₂×C₄	—	4	2	no	—
1127	C₂×C₄	—	4	4	no	—
1128	C₂×C₄	—	4	4	no	—
1129	C₂×C₄	—	4	4	no	—
1130	C₂×C₄	—	4	2	no	—
1131	C₂×C₄	—	4	4	no	—
1132	C₂×C₄	—	4	2	no	—
1133	C₂×C₄	—	4	4	no	—
1134	C₂×C₄	—	4	4	no	—
1135	C₂×C₄	—	4	4	no	—
1136	C₂×C₄	—	4	4	no	—
1137	C₂×C₄	—	4	4	no	—
1138	C₂×C₄	—	4	2	no	—
1139	C₂×C₄	C₂⁵	1	2	yes	—
1140	C₂×C₄	C₂⁵	1	2	yes	—
1141	C₂×C₄	C₂⁵	1	4	yes	—
1142	C₂×C₄	C₂⁵	1	2	yes	—
1143	C₂×C₄	C₂⁵	1	1	yes	characteristic
1144	C₂×C₄	C₂⁵	1	2	yes	—
1145	C₂×C₄	C₂⁵	1	2	yes	—
1146	C₂×C₄	C₂⁵	1	4	yes	—
1147	C₂×C₄	C₂⁵	1	1	yes	characteristic
1148	C₂×C₄	C₂⁵	1	2	yes	—
1149	C₂×C₄	C₂⁵	1	4	yes	—
1150	C₂×C₄	C₂⁵	1	2	yes	—
1151	C₂×C₄	C₂⁵	1	4	yes	—
1152	C₂×C₄	C₂⁵	1	1	yes	characteristic
1153	C₂×C₄	C₂⁵	1	2	yes	—
1154	C₂×C₄	C₂⁵	1	2	yes	—
1155	C₂×C₄	C₂⁵	1	2	yes	—
1156	C₂×C₄	C₂⁵	1	1	yes	characteristic
1157	C₂²	—	2	4	no	—
1158	C₂²	—	2	1	no	—
1159	C₂²	—	2	2	no	—
1160	C₂²	—	2	2	no	—
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	4	no	—
1166	C₂²	—	2	4	no	—
1167	C₂²	—	2	2	no	—
1168	C₂²	—	2	2	no	—
1169	C₂²	—	2	4	no	—
1170	C₂²	—	2	2	no	—
1171	C₂²	—	2	2	no	—
1172	C₂²	—	2	4	no	—
1173	C₂²	—	2	4	no	—
1174	C₂²	—	2	4	no	—
1175	C₂²	—	2	4	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	4	no	—
1180	C₂²	—	2	2	no	—
1181	C₂²	—	2	2	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	4	4	no	—
1184	C₂²	—	8	8	no	—
1185	C₂²	—	8	4	no	—
1186	C₂²	—	8	4	no	—
1187	C₂²	—	8	8	no	—
1188	C₂²	—	8	2	no	—
1189	C₂²	—	8	8	no	—
1190	C₂²	—	8	4	no	—
1191	C₂²	—	16	2	no	—
1192	C₂²	—	16	4	no	—
1193	C₂²	—	16	2	no	—
1194	C₂²	C₂×H(5,𝔽₂)	1	4	yes	—
1195	C₂²	C₂⁶	1	1	yes	characteristic
1196	C₄	—	2	2	no	—
1197	C₄	—	2	1	no	—
1198	C₄	—	2	1	no	—
1199	C₄	—	2	2	no	—
1200	C₄	—	2	2	no	—
1201	C₄	—	2	1	no	—
1202	C₄	—	2	2	no	—
1203	C₄	—	2	4	no	—
1204	C₄	—	2	2	no	—
1205	C₄	—	2	4	no	—
1206	C₄	—	2	2	no	—
1207	C₄	—	2	4	no	—
1208	C₄	—	2	2	no	—
1209	C₄	—	2	2	no	—
1210	C₄	—	2	4	no	—
1211	C₄	—	2	2	no	—
1212	C₄	—	2	2	no	—
1213	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1214	C₂	—	2	4	no	—
1215	C₂	—	4	2	no	—
1216	C₂	—	4	1	no	—
1217	C₂	—	4	2	no	—
1218	C₂	—	4	1	no	—
1219	C₂	—	4	2	no	—
1220	C₂	—	4	4	no	—
1221	C₂	—	4	2	no	—
1222	C₂	—	4	2	no	—
1223	C₂	—	4	4	no	—
1224	C₂	—	4	1	no	—
1225	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1226	C₂	H(7,𝔽₂)	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. #3560	C₂	semidirect
3. #3551	C₂	semidirect
4. #3546	C₂	semidirect
5. #3546	C₂	semidirect
6. #3543	C₂	semidirect
7. #3543	C₂	semidirect
8. #3542	C₂	semidirect
9. #3542	C₂	semidirect
10. #3540	C₂	semidirect
11. #3539	C₂	semidirect
12. #3537	C₂	semidirect
13. #3537	C₂	semidirect
14. #3534	C₂	semidirect
15. #3534	C₂	semidirect
16. #3533	C₂	semidirect
17. #3532	C₂	semidirect
18. #3532	C₂	semidirect
19. #3529	C₂	semidirect
20. C₂×#560	C₂	semidirect
21. #3521	C₂	semidirect
22. #3519	C₂	semidirect
23. #3513	C₂	semidirect
24. #3498	C₂	semidirect
25. #3496	C₂	semidirect
26. #3488	C₂	semidirect
27. #3485	C₂	semidirect
28. #3484	C₂	semidirect
29. #3484	C₂	semidirect
30. C₂×H(5,𝔽₂)	C₂²	semidirect
31. C₂×H(5,𝔽₂)	C₂²	semidirect
32. C₂×H(5,𝔽₂)	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. #562	C₂²	semidirect
39. #562	C₂²	semidirect
40. #562	C₂²	semidirect
41. #562	C₂²	semidirect
42. #562	C₂²	semidirect
43. H(3,𝔽₄)	C₂²	semidirect
44. H(3,𝔽₄)	C₂²	semidirect
45. #560	C₂²	semidirect
46. #560	C₂²	semidirect
47. #560	C₂²	semidirect
48. #560	C₂²	semidirect
49. #560	C₂²	semidirect
50. #560	C₂²	semidirect
51. #560	C₂²	semidirect
52. #560	C₂²	semidirect
53. #560	C₂²	semidirect
54. #560	C₂²	semidirect
55. #560	C₂²	semidirect
56. #560	C₂²	semidirect
57. #560	C₂²	semidirect
58. #560	C₂²	semidirect
59. #560	C₂²	semidirect
60. #560	C₂²	semidirect
61. #560	C₂²	semidirect
62. #560	C₂²	semidirect
63. #559	C₂²	semidirect
64. #559	C₂²	semidirect
65. #556	C₂²	semidirect
66. #556	C₂²	semidirect
67. #555	C₂²	semidirect
68. #555	C₂²	semidirect
69. #554	C₂²	semidirect
70. #553	C₂²	semidirect
71. #553	C₂²	semidirect
72. #553	C₂²	semidirect
73. #553	C₂²	semidirect
74. #553	C₂²	semidirect
75. #553	C₂²	semidirect
76. #553	C₂²	semidirect
77. #553	C₂²	semidirect
78. #553	C₂²	semidirect
79. #553	C₂²	semidirect
80. #553	C₂²	semidirect
81. #552	C₂²	semidirect
82. #552	C₂²	semidirect
83. #552	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. #550	C₂²	semidirect
93. #550	C₂²	semidirect
94. #550	C₂²	semidirect
95. #550	C₂²	semidirect
96. #550	C₂²	semidirect
97. #550	C₂²	semidirect
98. #548	C₂²	semidirect
99. #548	C₂²	semidirect
100. #547	C₂²	semidirect
101. #547	C₂²	semidirect
102. #547	C₂²	semidirect
103. #547	C₂²	semidirect
104. #547	C₂²	semidirect
105. #547	C₂²	semidirect
106. #546	C₂²	semidirect
107. #546	C₂²	semidirect
108. #546	C₂²	semidirect
109. #546	C₂²	semidirect
110. #546	C₂²	semidirect
111. #546	C₂²	semidirect
112. #546	C₂²	semidirect
113. #546	C₂²	semidirect
114. #546	C₂²	semidirect
115. #546	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. D₄²	C₂²	semidirect
133. D₄²	C₂²	semidirect
134. D₄²	C₂²	semidirect
135. D₄²	C₂²	semidirect
136. D₄²	C₂²	semidirect
137. D₄²	C₂²	semidirect
138. D₄²	C₂²	semidirect
139. D₄²	C₂²	semidirect
140. D₄²	C₂²	semidirect
141. D₄²	C₂²	semidirect
142. D₄²	C₂²	semidirect
143. D₄²	C₂²	semidirect
144. D₄²	C₂²	semidirect
145. D₄²	C₂²	semidirect
146. D₄²	C₂²	semidirect
147. D₄²	C₂²	semidirect
148. D₄²	C₂²	semidirect
149. D₄²	C₂²	semidirect
150. D₄²	C₂²	semidirect
151. #542	C₂²	semidirect
152. #542	C₂²	semidirect
153. #542	C₂²	semidirect
154. #542	C₂²	semidirect
155. #541	C₂²	semidirect
156. #540	C₂²	semidirect
157. #540	C₂²	semidirect
158. #540	C₂²	semidirect
159. #540	C₂²	semidirect
160. #540	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. #538	C₂²	semidirect
171. #538	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. #538	C₂²	semidirect
184. #537	C₂²	semidirect
185. #537	C₂²	semidirect
186. #537	C₂²	semidirect
187. #537	C₂²	semidirect
188. #537	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. #535	C₂²	semidirect
197. #535	C₂²	semidirect
198. #535	C₂²	semidirect
199. #535	C₂²	semidirect
200. #535	C₂²	semidirect
201. #535	C₂²	semidirect
202. #535	C₂²	semidirect
203. #535	C₂²	semidirect
204. #535	C₂²	semidirect
205. #534	C₂²	semidirect
206. #534	C₂²	semidirect
207. #534	C₂²	semidirect
208. #534	C₂²	semidirect
209. #534	C₂²	semidirect
210. #534	C₂²	semidirect
211. #534	C₂²	semidirect
212. #534	C₂²	semidirect
213. #534	C₂²	semidirect
214. #534	C₂²	semidirect
215. #534	C₂²	semidirect
216. #534	C₂²	semidirect
217. #532	C₂²	semidirect
218. #532	C₂²	semidirect
219. #532	C₂²	semidirect
220. #532	C₂²	semidirect
221. #532	C₂²	semidirect
222. C₂×#127	C₂²	semidirect
223. C₂×#127	C₂²	semidirect
224. #529	C₂²	semidirect
225. #529	C₂²	semidirect
226. #529	C₂²	semidirect
227. #529	C₂²	semidirect
228. #529	C₂²	semidirect
229. #529	C₂²	semidirect
230. C₂×#126	C₂²	semidirect
231. #525	C₂²	semidirect
232. #525	C₂²	semidirect
233. #525	C₂²	semidirect
234. #525	C₂²	semidirect
235. #525	C₂²	semidirect
236. #525	C₂²	semidirect
237. #525	C₂²	semidirect
238. #525	C₂²	semidirect
239. #525	C₂²	semidirect
240. #525	C₂²	semidirect
241. C₂×#123	C₂²	semidirect
242. C₂×#123	C₂²	semidirect
243. C₂×#123	C₂²	semidirect
244. C₂×#121	C₂²	semidirect
245. C₂×#121	C₂²	semidirect
246. C₂×#121	C₂²	semidirect
247. C₂×#121	C₂²	semidirect
248. C₂×#121	C₂²	semidirect
249. C₂×#120	C₂²	semidirect
250. C₂×#120	C₂²	semidirect
251. C₂×#120	C₂²	semidirect
252. C₂×#120	C₂²	semidirect
253. #520	C₂²	semidirect
254. #518	C₂²	semidirect
255. #518	C₂²	semidirect
256. #518	C₂²	semidirect
257. C₄×#41	C₂²	semidirect
258. C₂×C₄×D₄	C₂²	semidirect
274. C₂×#41	C₂³	semidirect
275. C₂×#41	C₂³	semidirect
276. C₂×#41	C₂³	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
282. C₂²×Q₈	C₂³	semidirect
306. C₂²×D₄	C₂³	semidirect
307. C₂²×D₄	C₂³	semidirect
308. C₂²×D₄	C₂³	semidirect
309. C₂²×D₄	C₂³	semidirect
310. C₂²×D₄	C₂³	semidirect
311. C₂²×D₄	C₂³	semidirect
312. C₂²×D₄	C₂³	semidirect
313. C₂²×D₄	C₂³	semidirect
315. C₂³×C₄	C₂³	semidirect
316. C₂³×C₄	C₂³	semidirect
317. C₂³×C₄	C₂³	semidirect
318. C₄⋊Q₈	C₂³	semidirect
319. C₄⋊Q₈	C₂³	semidirect
320. C₄⋊Q₈	C₂³	semidirect
321. C₄⋊Q₈	C₂³	semidirect
322. C₄⋊Q₈	C₂³	semidirect
333. #127	C₂³	semidirect
334. #127	C₂³	semidirect
335. #127	C₂³	semidirect
336. #127	C₂³	semidirect
337. #127	C₂³	semidirect
338. #127	C₂³	semidirect
347. #126	C₂³	semidirect
348. #126	C₂³	semidirect
349. #126	C₂³	semidirect
350. #126	C₂³	semidirect
351. #126	C₂³	semidirect
352. #126	C₂³	semidirect
353. #126	C₂³	semidirect
354. #126	C₂³	semidirect
355. #126	C₂³	semidirect
356. #126	C₂³	semidirect
357. #126	C₂³	semidirect
358. #126	C₂³	semidirect
359. #126	C₂³	semidirect
360. #126	C₂³	semidirect
361. #125	C₂³	semidirect
362. #125	C₂³	semidirect
363. #125	C₂³	semidirect
364. #125	C₂³	semidirect
365. #125	C₂³	semidirect
366. #125	C₂³	semidirect
367. #125	C₂³	semidirect
368. #125	C₂³	semidirect
369. #125	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
391. #124	C₂³	semidirect
392. #124	C₂³	semidirect
393. #124	C₂³	semidirect
394. #124	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
449. #123	C₂³	semidirect
450. #123	C₂³	semidirect
451. #123	C₂³	semidirect
458. C₂²⋊Q₈	C₂³	semidirect
459. C₂²⋊Q₈	C₂³	semidirect
460. C₂²⋊Q₈	C₂³	semidirect
461. C₂²⋊Q₈	C₂³	semidirect
462. C₂²⋊Q₈	C₂³	semidirect
463. C₂²⋊Q₈	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
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
548. #121	C₂³	semidirect
549. #121	C₂³	semidirect
550. #121	C₂³	semidirect
551. #121	C₂³	semidirect
552. #121	C₂³	semidirect
553. #121	C₂³	semidirect
554. #121	C₂³	semidirect
555. #121	C₂³	semidirect
556. #121	C₂³	semidirect
557. #121	C₂³	semidirect
558. #121	C₂³	semidirect
559. #121	C₂³	semidirect
560. #121	C₂³	semidirect
561. #121	C₂³	semidirect
562. #121	C₂³	semidirect
563. #121	C₂³	semidirect
564. #121	C₂³	semidirect
565. #121	C₂³	semidirect
566. #121	C₂³	semidirect
567. #121	C₂³	semidirect
568. #121	C₂³	semidirect
569. #121	C₂³	semidirect
570. #121	C₂³	semidirect
607. #120	C₂³	semidirect
608. #120	C₂³	semidirect
609. #120	C₂³	semidirect
610. #120	C₂³	semidirect
611. #120	C₂³	semidirect
612. #120	C₂³	semidirect
613. #120	C₂³	semidirect
614. #120	C₂³	semidirect
615. #120	C₂³	semidirect
616. #120	C₂³	semidirect
617. #120	C₂³	semidirect
618. #120	C₂³	semidirect
619. #120	C₂³	semidirect
620. #120	C₂³	semidirect
621. C₄×Q₈	C₂³	semidirect
622. C₄×Q₈	C₂³	semidirect
623. C₄×Q₈	C₂³	semidirect
624. C₄×Q₈	C₂³	semidirect
625. C₄×Q₈	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
649. C₄×D₄	C₂³	semidirect
650. C₄×D₄	C₂³	semidirect
651. C₄×D₄	C₂³	semidirect
652. C₄×D₄	C₂³	semidirect
653. C₄×D₄	C₂³	semidirect
654. C₄×D₄	C₂³	semidirect
655. C₄×D₄	C₂³	semidirect
656. C₄×D₄	C₂³	semidirect
657. C₄×D₄	C₂³	semidirect
658. C₄×D₄	C₂³	semidirect
659. C₄×D₄	C₂³	semidirect
660. C₄×D₄	C₂³	semidirect
661. C₄×D₄	C₂³	semidirect
662. C₄×D₄	C₂³	semidirect
663. C₄×D₄	C₂³	semidirect
664. C₄×D₄	C₂³	semidirect
665. C₄×D₄	C₂³	semidirect
666. C₄×D₄	C₂³	semidirect
667. C₄×D₄	C₂³	semidirect
668. C₄×D₄	C₂³	semidirect
669. C₄×D₄	C₂³	semidirect
670. C₄×D₄	C₂³	semidirect
671. C₄×D₄	C₂³	semidirect
672. C₄×D₄	C₂³	semidirect
677. #117	C₂³	semidirect
678. #117	C₂³	semidirect
679. #117	C₂³	semidirect
680. #117	C₂³	semidirect
681. #117	C₂³	semidirect
682. #117	C₂³	semidirect
683. #117	C₂³	semidirect
684. #117	C₂³	semidirect
685. #117	C₂³	semidirect
686. #117	C₂³	semidirect
687. #117	C₂³	semidirect
688. #117	C₂³	semidirect
689. C₂×C₄⋊C₄	C₂³	semidirect
690. C₂×C₄⋊C₄	C₂³	semidirect
691. C₂×C₄⋊C₄	C₂³	semidirect
692. C₂×C₄⋊C₄	C₂³	semidirect
693. C₂×C₄⋊C₄	C₂³	semidirect
694. C₂×C₄⋊C₄	C₂³	semidirect
695. 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
712. C₂×C₂²⋊C₄	C₂³	semidirect
713. C₂×C₂²⋊C₄	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
#3560	2
#3551	2
#3546	2
#3543	2
#3542	2
#3540	2
#3539	2
#3537	2
#3534	2
#3533	2
#3532	2
#3529	2
C₂×#560	2
#3521	2
#3519	2
#3513	2
#3498	2
#3496	2
#3488	2
#3485	2
#3484	2