Subgroups — #62821

Order 256.

3669 conjugacy classes of subgroups.

The subgroup lattice has 769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3542	C₂	1	4	yes	maximal, complemented
2	#3541	C₂	1	4	yes	maximal, complemented
3	#3540	C₂	1	4	yes	maximal, complemented
4	#3539	C₂	1	4	yes	maximal, complemented
5	#3533	C₂	1	4	yes	maximal, complemented
6	#3532	C₂	1	4	yes	maximal, complemented
7	#3520	C₂	1	4	yes	maximal, complemented
8	#3519	C₂	1	4	yes	maximal, complemented
9	#3513	C₂	1	8	yes	maximal, complemented
10	#3506	C₂	1	4	yes	maximal, complemented
11	#3505	C₂	1	4	yes	maximal, complemented
12	#3495	C₂	1	2	yes	maximal, complemented
13	#3494	C₂	1	2	yes	maximal, complemented
14	#3493	C₂	1	2	yes	maximal, complemented
15	#3489	C₂	1	2	yes	maximal, complemented
16	#3488	C₂	1	2	yes	maximal, complemented
17	#3487	C₂	1	1	yes	maximal, characteristic, complemented
18	#3485	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#525	C₂	1	2	yes	maximal, complemented
20	C₂×#525	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
22	C₂×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
24	C₂²×#41	C₂²	1	2	yes	complemented
25	C₂⁴×C₄	C₂²	1	1	yes	characteristic, complemented
26	#563	C₂²	1	4	yes	complemented
27	#562	C₂²	1	8	yes	complemented
28	H(3,𝔽₄)	C₂²	1	4	yes	complemented
29	#560	C₂²	1	4	yes	complemented
30	#560	C₂²	1	8	yes	complemented
31	#560	C₂²	1	4	yes	complemented
32	#559	C₂²	1	4	yes	complemented
33	#559	C₂²	1	8	yes	complemented
34	#556	C₂²	1	4	yes	complemented
35	#556	C₂²	1	4	yes	complemented
36	#556	C₂²	1	4	yes	complemented
37	#555	C₂²	1	4	yes	complemented
38	#555	C₂²	1	4	yes	complemented
39	#555	C₂²	1	4	yes	complemented
40	#554	C₂²	1	4	yes	complemented
41	#554	C₂²	1	8	yes	complemented
42	#553	C₂²	1	4	yes	complemented
43	#553	C₂²	1	8	yes	complemented
44	#553	C₂²	1	4	yes	complemented
45	#553	C₂²	1	4	yes	complemented
46	#553	C₂²	1	4	yes	complemented
47	#553	C₂²	1	8	yes	complemented
48	#553	C₂²	1	8	yes	complemented
49	#553	C₂²	1	8	yes	complemented
50	#552	C₂²	1	8	yes	complemented
51	#552	C₂²	1	4	yes	complemented
52	#552	C₂²	1	4	yes	complemented
53	#552	C₂²	1	4	yes	complemented
54	#552	C₂²	1	4	yes	complemented
55	#551	C₂²	1	8	yes	complemented
56	#551	C₂²	1	4	yes	complemented
57	#551	C₂²	1	8	yes	complemented
58	#551	C₂²	1	8	yes	complemented
59	#551	C₂²	1	4	yes	complemented
60	#551	C₂²	1	8	yes	complemented
61	#550	C₂²	1	4	yes	complemented
62	#550	C₂²	1	4	yes	complemented
63	#550	C₂²	1	4	yes	complemented
64	D₄×Q₈	C₂²	1	4	yes	complemented
65	#548	C₂²	1	4	yes	complemented
66	#548	C₂²	1	4	yes	complemented
67	#548	C₂²	1	4	yes	complemented
68	#548	C₂²	1	4	yes	complemented
69	#547	C₂²	1	8	yes	complemented
70	#547	C₂²	1	4	yes	complemented
71	#547	C₂²	1	4	yes	complemented
72	#547	C₂²	1	4	yes	complemented
73	#547	C₂²	1	4	yes	complemented
74	#546	C₂²	1	8	yes	complemented
75	#546	C₂²	1	8	yes	complemented
76	#546	C₂²	1	8	yes	complemented
77	#546	C₂²	1	4	yes	complemented
78	#546	C₂²	1	8	yes	complemented
79	#546	C₂²	1	8	yes	complemented
80	#546	C₂²	1	4	yes	complemented
81	#546	C₂²	1	4	yes	complemented
82	#546	C₂²	1	4	yes	complemented
83	D₄²	C₂²	1	8	yes	complemented
84	D₄²	C₂²	1	4	yes	complemented
85	D₄²	C₂²	1	4	yes	complemented
86	#544	C₂²	1	2	yes	complemented
87	#542	C₂²	1	4	yes	complemented
88	#542	C₂²	1	4	yes	complemented
89	#542	C₂²	1	8	yes	complemented
90	#542	C₂²	1	8	yes	complemented
91	#541	C₂²	1	4	yes	complemented
92	#540	C₂²	1	4	yes	complemented
93	#540	C₂²	1	8	yes	complemented
94	#540	C₂²	1	8	yes	complemented
95	#539	C₂²	1	8	yes	complemented
96	#539	C₂²	1	8	yes	complemented
97	#539	C₂²	1	8	yes	complemented
98	#538	C₂²	1	8	yes	complemented
99	#538	C₂²	1	8	yes	complemented
100	#538	C₂²	1	8	yes	complemented
101	#538	C₂²	1	8	yes	complemented
102	#538	C₂²	1	8	yes	complemented
103	#538	C₂²	1	8	yes	complemented
104	#537	C₂²	1	2	yes	complemented
105	#537	C₂²	1	4	yes	complemented
106	#537	C₂²	1	4	yes	complemented
107	#536	C₂²	1	2	yes	complemented
108	#536	C₂²	1	4	yes	complemented
109	#535	C₂²	1	4	yes	complemented
110	#535	C₂²	1	8	yes	complemented
111	#535	C₂²	1	2	yes	complemented
112	#535	C₂²	1	4	yes	complemented
113	#534	C₂²	1	4	yes	complemented
114	#534	C₂²	1	8	yes	complemented
115	#533	C₂²	1	4	yes	complemented
116	#532	C₂²	1	4	yes	complemented
117	#529	C₂²	1	8	yes	complemented
118	#529	C₂²	1	4	yes	complemented
119	#529	C₂²	1	4	yes	complemented
120	#525	C₂²	1	2	yes	—
121	#525	C₂²	1	2	yes	complemented
122	#525	C₂²	1	2	yes	complemented
123	#525	C₂²	1	2	yes	complemented
124	#525	C₂²	1	2	yes	complemented
125	#525	C₂²	1	4	yes	complemented
126	#525	C₂²	1	2	yes	complemented
127	#525	C₂²	1	4	yes	complemented
128	#525	C₂²	1	4	yes	complemented
129	#525	C₂²	1	4	yes	complemented
130	#525	C₂²	1	2	yes	complemented
131	#525	C₂²	1	4	yes	complemented
132	#525	C₂²	1	4	yes	complemented
133	#525	C₂²	1	2	yes	complemented
134	#525	C₂²	1	4	yes	complemented
135	#525	C₂²	1	4	yes	complemented
136	#525	C₂²	1	4	yes	complemented
137	#525	C₂²	1	4	yes	complemented
138	#525	C₂²	1	4	yes	complemented
139	C₂×#123	C₂²	1	4	yes	complemented
140	C₂×#123	C₂²	1	2	yes	complemented
141	C₂×#123	C₂²	1	4	yes	complemented
142	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
143	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
144	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
145	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
146	C₂×#121	C₂²	1	2	yes	complemented
147	C₂×#121	C₂²	1	2	yes	complemented
148	C₂×#121	C₂²	1	2	yes	complemented
149	C₂×#121	C₂²	1	4	yes	complemented
150	C₂×#120	C₂²	1	2	yes	complemented
151	C₂×#120	C₂²	1	4	yes	complemented
152	#520	C₂²	1	2	yes	complemented
153	#520	C₂²	1	2	yes	complemented
154	#520	C₂²	1	8	yes	complemented
155	#519	C₂²	1	1	yes	characteristic, complemented
156	#518	C₂²	1	1	yes	characteristic, complemented
157	#518	C₂²	1	8	yes	complemented
158	C₂×C₄×D₄	C₂²	1	4	yes	complemented
159	C₂×C₄×D₄	C₂²	1	4	yes	complemented
160	C₂×C₄×D₄	C₂²	1	4	yes	complemented
161	C₂×#117	C₂²	1	1	yes	characteristic, complemented
162	C₂×#117	C₂²	1	2	yes	complemented
163	C₂⁵	C₂³	1	1	yes	characteristic
164	2₋¹⁺⁴	—	4	4	no	—
165	H(5,𝔽₂)	—	4	4	no	—
166	C₂×#41	—	4	4	no	—
167	C₂×#41	—	4	8	no	—
168	C₂×#41	C₂³	1	2	yes	—
169	C₂×#41	C₂³	1	2	yes	—
170	C₂×#41	C₂³	1	8	yes	—
171	C₂×#41	C₂³	1	4	yes	—
172	C₂×#41	C₂³	1	4	yes	—
173	C₂×#41	C₂³	1	2	yes	—
174	C₂×#41	C₂³	1	4	yes	—
175	C₂×#41	C₂³	1	4	yes	—
176	C₂×#41	C₂³	1	2	yes	—
177	C₂×#41	C₂³	1	4	yes	—
178	C₂×#41	C₂³	1	4	yes	complemented
179	C₂×#41	C₂³	1	4	yes	complemented
180	C₂²×Q₈	C₂³	1	1	yes	characteristic
181	C₂²×Q₈	C₂³	1	2	yes	—
182	C₂²×Q₈	C₂³	1	4	yes	complemented
183	C₂²×D₄	C₂³	1	1	yes	characteristic
184	C₂²×D₄	C₂³	1	4	yes	—
185	C₂²×D₄	C₂³	1	4	yes	—
186	C₂²×D₄	C₂³	1	4	yes	—
187	C₂²×D₄	C₂³	1	8	yes	—
188	C₂²×D₄	C₂³	1	2	yes	—
189	C₂²×D₄	C₂³	1	4	yes	—
190	C₂²×D₄	C₂³	1	2	yes	—
191	C₂²×D₄	C₂³	1	4	yes	—
192	C₂²×D₄	C₂³	1	4	yes	complemented
193	C₂³×C₄	—	4	4	no	—
194	C₂³×C₄	C₂³	1	2	yes	—
195	C₂³×C₄	C₂³	1	1	yes	characteristic
196	C₂³×C₄	C₂³	1	2	yes	—
197	C₂³×C₄	C₂³	1	4	yes	—
198	C₂³×C₄	C₂³	1	2	yes	—
199	C₂³×C₄	C₂³	1	2	yes	—
200	C₂³×C₄	C₂³	1	2	yes	—
201	C₂³×C₄	C₂³	1	2	yes	—
202	C₂³×C₄	C₂³	1	1	yes	characteristic
203	C₂³×C₄	C₂³	1	2	yes	—
204	C₄⋊Q₈	C₂³	1	4	yes	complemented
205	C₄⋊Q₈	C₂³	1	4	yes	complemented
206	C₄⋊Q₈	C₂³	1	4	yes	complemented
207	C₄⋊Q₈	C₂³	1	8	yes	complemented
208	#127	C₂³	1	4	yes	—
209	#127	C₂³	1	8	yes	—
210	#127	C₂³	1	4	yes	—
211	#127	C₂³	1	4	yes	complemented
212	#126	C₂³	1	8	yes	—
213	#126	C₂³	1	8	yes	—
214	#126	C₂³	1	8	yes	—
215	#126	C₂³	1	8	yes	—
216	#126	C₂³	1	8	yes	complemented
217	#126	C₂³	1	8	yes	complemented
218	#126	C₂³	1	8	yes	complemented
219	#126	C₂³	1	8	yes	complemented
220	#126	C₂³	1	8	yes	complemented
221	#126	C₂³	1	8	yes	complemented
222	#125	C₂³	1	8	yes	complemented
223	#125	C₂³	1	4	yes	complemented
224	#125	C₂³	1	4	yes	complemented
225	#125	C₂³	1	8	yes	complemented
226	#125	C₂³	1	8	yes	complemented
227	#125	C₂³	1	8	yes	complemented
228	#124	C₂³	1	4	yes	—
229	#124	C₂³	1	8	yes	—
230	#124	C₂³	1	8	yes	—
231	#124	C₂³	1	4	yes	—
232	#124	C₂³	1	8	yes	—
233	#124	C₂³	1	8	yes	—
234	#124	C₂³	1	8	yes	—
235	#124	C₂³	1	4	yes	complemented
236	#124	C₂³	1	4	yes	complemented
237	#124	C₂³	1	8	yes	complemented
238	#124	C₂³	1	8	yes	complemented
239	#124	C₂³	1	8	yes	complemented
240	#123	C₂³	1	4	yes	—
241	#123	C₂³	1	4	yes	—
242	#123	C₂³	1	4	yes	—
243	#123	C₂³	1	4	yes	—
244	#123	C₂³	1	8	yes	—
245	#123	C₂³	1	4	yes	—
246	#123	C₂³	1	4	yes	—
247	#123	C₂³	1	4	yes	—
248	#123	C₂³	1	4	yes	—
249	#123	C₂³	1	4	yes	—
250	#123	C₂³	1	4	yes	—
251	#123	C₂³	1	8	yes	—
252	#123	C₂³	1	8	yes	—
253	#123	C₂³	1	8	yes	—
254	#123	C₂³	1	4	yes	—
255	#123	C₂³	1	8	yes	—
256	#123	C₂³	1	4	yes	—
257	#123	C₂³	1	8	yes	—
258	#123	C₂³	1	8	yes	—
259	#123	C₂³	1	8	yes	—
260	#123	C₂³	1	8	yes	—
261	#123	C₂³	1	8	yes	complemented
262	#123	C₂³	1	8	yes	complemented
263	#123	C₂³	1	8	yes	complemented
264	#123	C₂³	1	8	yes	complemented
265	#123	C₂³	1	8	yes	complemented
266	#123	C₂³	1	8	yes	complemented
267	#123	C₂³	1	8	yes	complemented
268	C₂²⋊Q₈	C₂³	1	2	yes	—
269	C₂²⋊Q₈	C₂³	1	4	yes	—
270	C₂²⋊Q₈	C₂³	1	2	yes	—
271	C₂²⋊Q₈	C₂³	1	2	yes	—
272	C₂²⋊Q₈	C₂³	1	2	yes	—
273	C₂²⋊Q₈	C₂³	1	4	yes	—
274	C₂²⋊Q₈	C₂³	1	4	yes	—
275	C₂²⋊Q₈	C₂³	1	4	yes	—
276	C₂²⋊Q₈	C₂³	1	4	yes	—
277	C₂²⋊Q₈	C₂³	1	2	yes	—
278	C₂²⋊Q₈	C₂³	1	2	yes	—
279	C₂²⋊Q₈	C₂³	1	4	yes	—
280	C₂²⋊Q₈	C₂³	1	2	yes	—
281	C₂²⋊Q₈	C₂³	1	2	yes	—
282	C₂²⋊Q₈	C₂³	1	4	yes	—
283	C₂²⋊Q₈	C₂³	1	4	yes	—
284	C₂²⋊Q₈	C₂³	1	8	yes	—
285	C₂²⋊Q₈	C₂³	1	8	yes	—
286	C₂²⋊Q₈	C₂³	1	8	yes	—
287	C₂²⋊Q₈	C₂³	1	4	yes	complemented
288	C₂²⋊Q₈	C₂³	1	4	yes	complemented
289	C₂²⋊Q₈	C₂³	1	8	yes	complemented
290	C₂²⋊Q₈	C₂³	1	4	yes	complemented
291	C₂²⋊Q₈	C₂³	1	4	yes	complemented
292	C₂²⋊Q₈	C₂³	1	8	yes	complemented
293	C₂²⋊Q₈	C₂³	1	8	yes	complemented
294	C₂²⋊Q₈	C₂³	1	8	yes	complemented
295	C₂²⋊Q₈	C₂³	1	8	yes	complemented
296	C₂²⋊Q₈	C₂³	1	8	yes	complemented
297	#121	C₂³	1	2	yes	—
298	#121	C₂³	1	4	yes	—
299	#121	C₂³	1	2	yes	—
300	#121	C₂³	1	2	yes	—
301	#121	C₂³	1	4	yes	—
302	#121	C₂³	1	2	yes	—
303	#121	C₂³	1	4	yes	—
304	#121	C₂³	1	4	yes	—
305	#121	C₂³	1	4	yes	—
306	#121	C₂³	1	4	yes	—
307	#121	C₂³	1	2	yes	—
308	#121	C₂³	1	2	yes	—
309	#121	C₂³	1	4	yes	—
310	#121	C₂³	1	2	yes	—
311	#121	C₂³	1	2	yes	—
312	#121	C₂³	1	4	yes	—
313	#121	C₂³	1	8	yes	—
314	#121	C₂³	1	8	yes	—
315	#121	C₂³	1	8	yes	—
316	#121	C₂³	1	8	yes	—
317	#121	C₂³	1	8	yes	—
318	#121	C₂³	1	8	yes	—
319	#121	C₂³	1	8	yes	—
320	#121	C₂³	1	8	yes	—
321	#121	C₂³	1	8	yes	—
322	#121	C₂³	1	8	yes	—
323	#121	C₂³	1	8	yes	—
324	#121	C₂³	1	8	yes	—
325	#121	C₂³	1	8	yes	—
326	#121	C₂³	1	8	yes	—
327	#121	C₂³	1	8	yes	—
328	#121	C₂³	1	4	yes	complemented
329	#121	C₂³	1	4	yes	complemented
330	#121	C₂³	1	8	yes	complemented
331	#121	C₂³	1	4	yes	complemented
332	#121	C₂³	1	4	yes	complemented
333	#121	C₂³	1	8	yes	complemented
334	#121	C₂³	1	8	yes	complemented
335	#121	C₂³	1	8	yes	complemented
336	#120	C₂³	1	4	yes	—
337	#120	C₂³	1	4	yes	—
338	#120	C₂³	1	4	yes	—
339	#120	C₂³	1	8	yes	—
340	#120	C₂³	1	4	yes	—
341	#120	C₂³	1	4	yes	—
342	#120	C₂³	1	4	yes	—
343	#120	C₂³	1	4	yes	—
344	#120	C₂³	1	4	yes	—
345	#120	C₂³	1	4	yes	—
346	#120	C₂³	1	4	yes	—
347	#120	C₂³	1	8	yes	—
348	#120	C₂³	1	8	yes	—
349	#120	C₂³	1	8	yes	—
350	#120	C₂³	1	4	yes	—
351	#120	C₂³	1	8	yes	—
352	#120	C₂³	1	4	yes	—
353	#120	C₂³	1	8	yes	complemented
354	C₄×Q₈	C₂³	1	4	yes	complemented
355	C₄×Q₈	C₂³	1	4	yes	complemented
356	C₄×Q₈	C₂³	1	4	yes	complemented
357	C₄×Q₈	C₂³	1	8	yes	complemented
358	C₄×Q₈	C₂³	1	4	yes	complemented
359	C₄×Q₈	C₂³	1	8	yes	complemented
360	C₄×D₄	C₂³	1	4	yes	—
361	C₄×D₄	C₂³	1	8	yes	—
362	C₄×D₄	C₂³	1	4	yes	—
363	C₄×D₄	C₂³	1	4	yes	—
364	C₄×D₄	C₂³	1	4	yes	—
365	C₄×D₄	C₂³	1	4	yes	—
366	C₄×D₄	C₂³	1	8	yes	—
367	C₄×D₄	C₂³	1	4	yes	—
368	C₄×D₄	C₂³	1	4	yes	—
369	C₄×D₄	C₂³	1	4	yes	—
370	C₄×D₄	C₂³	1	4	yes	—
371	C₄×D₄	C₂³	1	8	yes	—
372	C₄×D₄	C₂³	1	4	yes	—
373	C₄×D₄	C₂³	1	4	yes	—
374	C₄×D₄	C₂³	1	4	yes	—
375	C₄×D₄	C₂³	1	4	yes	—
376	C₄×D₄	C₂³	1	4	yes	—
377	C₄×D₄	C₂³	1	8	yes	—
378	C₄×D₄	C₂³	1	4	yes	—
379	C₄×D₄	C₂³	1	4	yes	—
380	C₄×D₄	C₂³	1	8	yes	—
381	C₄×D₄	C₂³	1	8	yes	—
382	C₄×D₄	C₂³	1	8	yes	—
383	C₄×D₄	C₂³	1	8	yes	—
384	C₄×D₄	C₂³	1	8	yes	—
385	C₄×D₄	C₂³	1	8	yes	—
386	C₄×D₄	C₂³	1	8	yes	complemented
387	C₄×D₄	C₂³	1	8	yes	complemented
388	C₄×D₄	C₂³	1	4	yes	complemented
389	C₄×D₄	C₂³	1	8	yes	complemented
390	C₄×D₄	C₂³	1	8	yes	complemented
391	C₄×D₄	C₂³	1	4	yes	complemented
392	C₄×D₄	C₂³	1	8	yes	complemented
393	C₄×D₄	C₂³	1	8	yes	complemented
394	C₄×D₄	C₂³	1	4	yes	complemented
395	C₄×D₄	C₂³	1	4	yes	complemented
396	#117	C₂³	1	2	yes	—
397	#117	C₂³	1	2	yes	—
398	#117	C₂³	1	4	yes	—
399	#117	C₂³	1	4	yes	—
400	#117	C₂³	1	2	yes	—
401	#117	C₂³	1	4	yes	—
402	#117	C₂³	1	4	yes	—
403	#117	C₂³	1	2	yes	—
404	#117	C₂³	1	4	yes	—
405	#117	C₂³	1	8	yes	—
406	#117	C₂³	1	8	yes	complemented
407	#117	C₂³	1	8	yes	complemented
408	#117	C₂³	1	4	yes	complemented
409	#117	C₂³	1	4	yes	complemented
410	#117	C₂³	1	8	yes	complemented
411	#117	C₂³	1	8	yes	complemented
412	C₂×C₄⋊C₄	C₂³	1	2	yes	—
413	C₂×C₄⋊C₄	C₂³	1	2	yes	—
414	C₂×C₄⋊C₄	C₂³	1	2	yes	—
415	C₂×C₄⋊C₄	C₂³	1	4	yes	—
416	C₂×C₄⋊C₄	C₂³	1	4	yes	—
417	C₂×C₄⋊C₄	C₂³	1	4	yes	—
418	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
419	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
420	C₂×C₄⋊C₄	C₂³	1	8	yes	complemented
421	C₂×C₄⋊C₄	C₂³	1	8	yes	complemented
422	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
423	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
424	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
425	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
426	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
427	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
428	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
429	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
430	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
431	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
432	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
433	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
434	C₂×C₄²	C₂³	1	2	yes	—
435	C₂×C₄²	C₂³	1	4	yes	—
436	C₂⁴	—	4	2	no	—
437	C₂⁴	—	4	4	no	—
438	C₂⁴	C₂⁴	1	2	yes	—
439	C₂⁴	C₂⁴	1	1	yes	characteristic
440	C₂⁴	C₂⁴	1	2	yes	—
441	C₂⁴	C₂⁴	1	4	yes	—
442	C₂⁴	C₂⁴	1	1	yes	characteristic
443	C₂⁴	C₂⁴	1	2	yes	—
444	C₂⁴	C₂⁴	1	4	yes	—
445	C₂⁴	C₂⁴	1	1	yes	characteristic
446	#41	—	2	8	no	—
447	#41	—	2	8	no	—
448	#41	—	4	8	no	—
449	#41	—	4	8	no	—
450	#41	—	4	16	no	—
451	#41	—	4	8	no	—
452	#41	—	4	8	no	—
453	#41	—	4	8	no	—
454	#41	—	4	4	no	—
455	#41	—	4	4	no	—
456	#41	—	4	8	no	—
457	#41	—	4	8	no	—
458	C₂×Q₈	—	2	4	no	—
459	C₂×Q₈	—	4	4	no	—
460	C₂×Q₈	—	4	8	no	—
461	C₂×Q₈	C₂⁴	1	2	yes	—
462	C₂×Q₈	C₂⁴	1	4	yes	—
463	C₂×Q₈	C₂⁴	1	2	yes	—
464	C₂×Q₈	C₂⁴	1	8	yes	—
465	C₂×Q₈	C₂⁴	1	4	yes	—
466	C₂×Q₈	C₂⁴	1	4	yes	—
467	C₂×D₄	—	2	4	no	—
468	C₂×D₄	—	4	4	no	—
469	C₂×D₄	—	4	8	no	—
470	C₂×D₄	—	4	8	no	—
471	C₂×D₄	—	4	4	no	—
472	C₂×D₄	—	4	16	no	—
473	C₂×D₄	—	4	8	no	—
474	C₂×D₄	—	4	8	no	—
475	C₂×D₄	—	4	8	no	—
476	C₂×D₄	—	4	8	no	—
477	C₂×D₄	C₂⁴	1	4	yes	—
478	C₂×D₄	C₂⁴	1	8	yes	—
479	C₂×D₄	C₂⁴	1	4	yes	—
480	C₂×D₄	C₂⁴	1	4	yes	—
481	C₂×D₄	C₂⁴	1	4	yes	—
482	C₂×D₄	C₂⁴	1	2	yes	—
483	C₂×D₄	C₂⁴	1	4	yes	—
484	C₂×D₄	C₂⁴	1	2	yes	—
485	C₂×D₄	C₂⁴	1	4	yes	—
486	C₂×D₄	C₂⁴	1	4	yes	—
487	C₂×D₄	C₂⁴	1	4	yes	—
488	C₂×D₄	C₂⁴	1	8	yes	—
489	C₂×D₄	C₂⁴	1	4	yes	—
490	C₂×D₄	C₂⁴	1	4	yes	—
491	C₂×D₄	C₂⁴	1	4	yes	—
492	C₂×D₄	C₂⁴	1	8	yes	—
493	C₂×D₄	C₂⁴	1	8	yes	—
494	C₂×D₄	C₂⁴	1	8	yes	—
495	C₂×D₄	C₂⁴	1	4	yes	—
496	C₂×D₄	C₂⁴	1	4	yes	—
497	C₂×D₄	C₂⁴	1	4	yes	—
498	C₂×D₄	C₂⁴	1	4	yes	—
499	C₂×D₄	C₂⁴	1	4	yes	—
500	C₂×D₄	C₂⁴	1	8	yes	—
501	C₂×D₄	C₂⁴	1	4	yes	—
502	C₂²×C₄	—	2	4	no	—
503	C₂²×C₄	—	2	8	no	—
504	C₂²×C₄	—	4	4	no	—
505	C₂²×C₄	—	4	4	no	—
506	C₂²×C₄	—	4	4	no	—
507	C₂²×C₄	—	4	4	no	—
508	C₂²×C₄	—	4	8	no	—
509	C₂²×C₄	—	4	4	no	—
510	C₂²×C₄	—	4	2	no	—
511	C₂²×C₄	—	4	4	no	—
512	C₂²×C₄	C₂⁴	1	2	yes	—
513	C₂²×C₄	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄	C₂⁴	1	4	yes	—
515	C₂²×C₄	C₂⁴	1	2	yes	—
516	C₂²×C₄	C₂⁴	1	2	yes	—
517	C₂²×C₄	C₂⁴	1	2	yes	—
518	C₂²×C₄	C₂⁴	1	4	yes	—
519	C₂²×C₄	C₂⁴	1	4	yes	—
520	C₂²×C₄	C₂⁴	1	2	yes	—
521	C₂²×C₄	C₂⁴	1	2	yes	—
522	C₂²×C₄	C₂⁴	1	2	yes	—
523	C₂²×C₄	C₂⁴	1	2	yes	—
524	C₂²×C₄	C₂⁴	1	4	yes	—
525	C₂²×C₄	C₂⁴	1	4	yes	—
526	C₂²×C₄	C₂⁴	1	2	yes	—
527	C₂²×C₄	C₂⁴	1	2	yes	—
528	C₂²×C₄	C₂⁴	1	4	yes	—
529	C₂²×C₄	C₂⁴	1	8	yes	—
530	C₂²×C₄	C₂⁴	1	8	yes	—
531	C₂²×C₄	C₂⁴	1	8	yes	—
532	C₂²×C₄	C₂⁴	1	4	yes	—
533	C₂²×C₄	C₂⁴	1	8	yes	—
534	C₂²×C₄	C₂⁴	1	8	yes	—
535	C₂²×C₄	C₂⁴	1	4	yes	—
536	C₂²×C₄	C₂⁴	1	4	yes	—
537	C₂²×C₄	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄	C₂⁴	1	2	yes	—
539	C₂²×C₄	C₂⁴	1	2	yes	—
540	C₂²×C₄	C₂⁴	1	2	yes	—
541	C₂²×C₄	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄	C₂⁴	1	1	yes	characteristic
543	C₄⋊C₄	C₂⁴	1	2	yes	—
544	C₄⋊C₄	C₂⁴	1	2	yes	—
545	C₄⋊C₄	C₂⁴	1	4	yes	—
546	C₄⋊C₄	C₂⁴	1	4	yes	—
547	C₄⋊C₄	C₂⁴	1	4	yes	—
548	C₄⋊C₄	C₂⁴	1	4	yes	—
549	C₄⋊C₄	C₂⁴	1	4	yes	—
550	C₄⋊C₄	C₂⁴	1	8	yes	—
551	C₄⋊C₄	C₂⁴	1	2	yes	—
552	C₄⋊C₄	C₂⁴	1	2	yes	—
553	C₄⋊C₄	C₂⁴	1	4	yes	—
554	C₄⋊C₄	C₂⁴	1	4	yes	—
555	C₄⋊C₄	C₂⁴	1	4	yes	—
556	C₄⋊C₄	C₂⁴	1	4	yes	—
557	C₄⋊C₄	C₂⁴	1	4	yes	—
558	C₄⋊C₄	C₂⁴	1	4	yes	—
559	C₄⋊C₄	C₂⁴	1	8	yes	—
560	C₄⋊C₄	C₂⁴	1	4	yes	—
561	C₄⋊C₄	C₂⁴	1	8	yes	—
562	C₄⋊C₄	C₂⁴	1	8	yes	—
563	C₄⋊C₄	C₂⁴	1	8	yes	—
564	C₄⋊C₄	C₂⁴	1	8	yes	—
565	C₄⋊C₄	C₂⁴	1	8	yes	—
566	C₄⋊C₄	C₂⁴	1	8	yes	—
567	C₄⋊C₄	C₂⁴	1	8	yes	—
568	C₄⋊C₄	C₂⁴	1	8	yes	—
569	C₄⋊C₄	C₂⁴	1	8	yes	—
570	C₂²⋊C₄	C₂⁴	1	4	yes	—
571	C₂²⋊C₄	C₂⁴	1	4	yes	—
572	C₂²⋊C₄	C₂⁴	1	8	yes	—
573	C₂²⋊C₄	C₂⁴	1	4	yes	—
574	C₂²⋊C₄	C₂⁴	1	4	yes	—
575	C₂²⋊C₄	C₂⁴	1	4	yes	—
576	C₂²⋊C₄	C₂⁴	1	8	yes	—
577	C₂²⋊C₄	C₂⁴	1	8	yes	—
578	C₂²⋊C₄	C₂⁴	1	8	yes	—
579	C₂²⋊C₄	C₂⁴	1	4	yes	—
580	C₂²⋊C₄	C₂⁴	1	4	yes	—
581	C₂²⋊C₄	C₂⁴	1	4	yes	—
582	C₂²⋊C₄	C₂⁴	1	4	yes	—
583	C₂²⋊C₄	C₂⁴	1	4	yes	—
584	C₂²⋊C₄	C₂⁴	1	4	yes	—
585	C₂²⋊C₄	C₂⁴	1	4	yes	—
586	C₂²⋊C₄	C₂⁴	1	4	yes	—
587	C₂²⋊C₄	C₂⁴	1	4	yes	—
588	C₂²⋊C₄	C₂⁴	1	4	yes	—
589	C₂²⋊C₄	C₂⁴	1	4	yes	—
590	C₂²⋊C₄	C₂⁴	1	4	yes	—
591	C₂²⋊C₄	C₂⁴	1	8	yes	—
592	C₂²⋊C₄	C₂⁴	1	4	yes	—
593	C₂²⋊C₄	C₂⁴	1	4	yes	—
594	C₂²⋊C₄	C₂⁴	1	4	yes	—
595	C₂²⋊C₄	C₂⁴	1	4	yes	—
596	C₂²⋊C₄	C₂⁴	1	8	yes	—
597	C₂²⋊C₄	C₂⁴	1	4	yes	—
598	C₂²⋊C₄	C₂⁴	1	4	yes	—
599	C₂²⋊C₄	C₂⁴	1	4	yes	—
600	C₂²⋊C₄	C₂⁴	1	8	yes	—
601	C₂²⋊C₄	C₂⁴	1	8	yes	—
602	C₂²⋊C₄	C₂⁴	1	8	yes	—
603	C₂²⋊C₄	C₂⁴	1	8	yes	—
604	C₂²⋊C₄	C₂⁴	1	8	yes	—
605	C₂²⋊C₄	C₂⁴	1	8	yes	—
606	C₄²	C₂⁴	1	4	yes	—
607	C₄²	C₂⁴	1	8	yes	—
608	C₄²	C₂⁴	1	4	yes	—
609	C₄²	C₂⁴	1	4	yes	—
610	C₄²	C₂⁴	1	4	yes	—
611	C₄²	C₂⁴	1	4	yes	—
612	C₄²	C₂⁴	1	4	yes	—
613	C₄²	C₂⁴	1	8	yes	—
614	C₄²	C₂⁴	1	8	yes	—
615	C₂³	—	2	4	no	—
616	C₂³	—	2	2	no	—
617	C₂³	—	2	4	no	—
618	C₂³	—	2	4	no	—
619	C₂³	—	2	4	no	—
620	C₂³	—	2	4	no	—
621	C₂³	—	2	8	no	—
622	C₂³	—	4	1	no	—
623	C₂³	—	4	2	no	—
624	C₂³	—	4	1	no	—
625	C₂³	—	4	2	no	—
626	C₂³	—	4	2	no	—
627	C₂³	—	4	2	no	—
628	C₂³	—	4	2	no	—
629	C₂³	—	4	4	no	—
630	C₂³	—	4	4	no	—
631	C₂³	—	4	4	no	—
632	C₂³	—	4	4	no	—
633	C₂³	—	4	8	no	—
634	C₂³	—	4	16	no	—
635	C₂³	C₂⁵	1	2	yes	—
636	C₂³	C₂⁵	1	1	yes	characteristic
637	C₂³	C₂⁵	1	1	yes	characteristic
638	C₂³	C₂⁵	1	4	yes	—
639	C₂³	C₂⁵	1	4	yes	—
640	C₂³	C₂⁵	1	4	yes	—
641	C₂³	C₂⁵	1	1	yes	characteristic
642	C₂³	C₂⁵	1	2	yes	—
643	Q₈	—	2	8	no	—
644	Q₈	—	2	4	no	—
645	Q₈	—	2	4	no	—
646	Q₈	—	4	4	no	—
647	Q₈	—	4	4	no	—
648	Q₈	—	4	8	no	—
649	D₄	—	2	8	no	—
650	D₄	—	2	8	no	—
651	D₄	—	2	8	no	—
652	D₄	—	2	16	no	—
653	D₄	—	2	8	no	—
654	D₄	—	2	8	no	—
655	D₄	—	2	4	no	—
656	D₄	—	2	4	no	—
657	D₄	—	4	8	no	—
658	D₄	—	4	4	no	—
659	D₄	—	4	4	no	—
660	D₄	—	4	4	no	—
661	D₄	—	4	4	no	—
662	D₄	—	4	4	no	—
663	D₄	—	4	8	no	—
664	D₄	—	4	8	no	—
665	D₄	—	4	8	no	—
666	D₄	—	4	4	no	—
667	D₄	—	4	4	no	—
668	D₄	—	4	4	no	—
669	D₄	—	4	4	no	—
670	D₄	—	4	4	no	—
671	D₄	—	4	4	no	—
672	D₄	—	4	8	no	—
673	D₄	—	4	4	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	4	no	—
676	C₂×C₄	—	2	4	no	—
677	C₂×C₄	—	2	8	no	—
678	C₂×C₄	—	2	4	no	—
679	C₂×C₄	—	2	4	no	—
680	C₂×C₄	—	2	4	no	—
681	C₂×C₄	—	2	4	no	—
682	C₂×C₄	—	2	4	no	—
683	C₂×C₄	—	2	4	no	—
684	C₂×C₄	—	2	8	no	—
685	C₂×C₄	—	2	8	no	—
686	C₂×C₄	—	4	2	no	—
687	C₂×C₄	—	4	2	no	—
688	C₂×C₄	—	4	1	no	—
689	C₂×C₄	—	4	2	no	—
690	C₂×C₄	—	4	2	no	—
691	C₂×C₄	—	4	2	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	4	no	—
694	C₂×C₄	—	4	4	no	—
695	C₂×C₄	—	4	4	no	—
696	C₂×C₄	—	4	8	no	—
697	C₂×C₄	—	4	8	no	—
698	C₂×C₄	—	4	4	no	—
699	C₂×C₄	—	4	4	no	—
700	C₂×C₄	—	4	4	no	—
701	C₂×C₄	—	4	8	no	—
702	C₂×C₄	—	4	8	no	—
703	C₂×C₄	—	4	8	no	—
704	C₂×C₄	H(5,𝔽₂)	1	4	yes	—
705	C₂×C₄	C₂⁵	1	4	yes	—
706	C₂×C₄	C₂⁵	1	4	yes	—
707	C₂×C₄	C₂⁵	1	8	yes	—
708	C₂×C₄	C₂⁵	1	4	yes	—
709	C₂×C₄	C₂⁵	1	2	yes	—
710	C₂×C₄	C₂⁵	1	2	yes	—
711	C₂×C₄	C₂⁵	1	4	yes	—
712	C₂×C₄	C₂⁵	1	4	yes	—
713	C₂×C₄	C₂⁵	1	4	yes	—
714	C₂×C₄	C₂⁵	1	4	yes	—
715	C₂×C₄	C₂⁵	1	2	yes	—
716	C₂×C₄	C₂⁵	1	2	yes	—
717	C₂²	—	2	2	no	—
718	C₂²	—	2	2	no	—
719	C₂²	—	2	2	no	—
720	C₂²	—	2	1	no	—
721	C₂²	—	2	2	no	—
722	C₂²	—	2	1	no	—
723	C₂²	—	2	4	no	—
724	C₂²	—	2	4	no	—
725	C₂²	—	2	4	no	—
726	C₂²	—	2	4	no	—
727	C₂²	—	2	4	no	—
728	C₂²	—	2	8	no	—
729	C₂²	—	2	4	no	—
730	C₂²	—	2	4	no	—
731	C₂²	—	2	2	no	—
732	C₂²	—	2	2	no	—
733	C₂²	—	2	2	no	—
734	C₂²	—	2	2	no	—
735	C₂²	—	4	8	no	—
736	C₂²	—	4	4	no	—
737	C₂²	—	4	4	no	—
738	C₂²	—	4	8	no	—
739	C₂²	—	4	4	no	—
740	C₂²	—	8	4	no	—
741	C₂²	—	8	8	no	—
742	C₂²	—	16	4	no	—
743	C₂²	C₂×H(5,𝔽₂)	1	2	yes	—
744	C₂²	#585	1	4	yes	—
745	C₂²	C₂⁶	1	1	yes	characteristic
746	C₄	—	2	2	no	—
747	C₄	—	2	2	no	—
748	C₄	—	2	2	no	—
749	C₄	—	2	4	no	—
750	C₄	—	2	4	no	—
751	C₄	—	2	4	no	—
752	C₄	—	2	4	no	—
753	C₄	—	2	4	no	—
754	C₄	—	2	4	no	—
755	C₄	—	2	8	no	—
756	C₄	—	2	4	no	—
757	C₄	C₂×H(5,𝔽₂)	1	4	yes	—
758	C₂	—	2	2	no	—
759	C₂	—	2	4	no	—
760	C₂	—	4	2	no	—
761	C₂	—	4	1	no	—
762	C₂	—	4	1	no	—
763	C₂	—	4	4	no	—
764	C₂	—	4	4	no	—
765	C₂	—	4	4	no	—
766	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
767	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. #3542	C₂	semidirect
2. #3541	C₂	semidirect
3. #3540	C₂	semidirect
4. #3539	C₂	semidirect
5. #3533	C₂	semidirect
6. #3532	C₂	semidirect
7. #3520	C₂	semidirect
8. #3519	C₂	semidirect
9. #3513	C₂	semidirect
10. #3506	C₂	semidirect
11. #3505	C₂	semidirect
12. #3495	C₂	semidirect
13. #3494	C₂	semidirect
14. #3493	C₂	semidirect
15. #3489	C₂	semidirect
16. #3488	C₂	semidirect
17. #3487	C₂	semidirect
18. #3485	C₂	semidirect
19. C₂×#525	C₂	semidirect
20. C₂×#525	C₂	semidirect
21. C₂×2₋¹⁺⁴	C₂²	semidirect
22. C₂×H(5,𝔽₂)	C₂²	semidirect
23. C₂²×#41	C₂²	semidirect
24. C₂²×#41	C₂²	semidirect
25. C₂⁴×C₄	C₂²	semidirect
26. #563	C₂²	semidirect
27. #562	C₂²	semidirect
28. H(3,𝔽₄)	C₂²	semidirect
29. #560	C₂²	semidirect
30. #560	C₂²	semidirect
31. #560	C₂²	semidirect
32. #559	C₂²	semidirect
33. #559	C₂²	semidirect
34. #556	C₂²	semidirect
35. #556	C₂²	semidirect
36. #556	C₂²	semidirect
37. #555	C₂²	semidirect
38. #555	C₂²	semidirect
39. #555	C₂²	semidirect
40. #554	C₂²	semidirect
41. #554	C₂²	semidirect
42. #553	C₂²	semidirect
43. #553	C₂²	semidirect
44. #553	C₂²	semidirect
45. #553	C₂²	semidirect
46. #553	C₂²	semidirect
47. #553	C₂²	semidirect
48. #553	C₂²	semidirect
49. #553	C₂²	semidirect
50. #552	C₂²	semidirect
51. #552	C₂²	semidirect
52. #552	C₂²	semidirect
53. #552	C₂²	semidirect
54. #552	C₂²	semidirect
55. #551	C₂²	semidirect
56. #551	C₂²	semidirect
57. #551	C₂²	semidirect
58. #551	C₂²	semidirect
59. #551	C₂²	semidirect
60. #551	C₂²	semidirect
61. #550	C₂²	semidirect
62. #550	C₂²	semidirect
63. #550	C₂²	semidirect
64. D₄×Q₈	C₂²	semidirect
65. #548	C₂²	semidirect
66. #548	C₂²	semidirect
67. #548	C₂²	semidirect
68. #548	C₂²	semidirect
69. #547	C₂²	semidirect
70. #547	C₂²	semidirect
71. #547	C₂²	semidirect
72. #547	C₂²	semidirect
73. #547	C₂²	semidirect
74. #546	C₂²	semidirect
75. #546	C₂²	semidirect
76. #546	C₂²	semidirect
77. #546	C₂²	semidirect
78. #546	C₂²	semidirect
79. #546	C₂²	semidirect
80. #546	C₂²	semidirect
81. #546	C₂²	semidirect
82. #546	C₂²	semidirect
83. D₄²	C₂²	semidirect
84. D₄²	C₂²	semidirect
85. D₄²	C₂²	semidirect
86. #544	C₂²	semidirect
87. #542	C₂²	semidirect
88. #542	C₂²	semidirect
89. #542	C₂²	semidirect
90. #542	C₂²	semidirect
91. #541	C₂²	semidirect
92. #540	C₂²	semidirect
93. #540	C₂²	semidirect
94. #540	C₂²	semidirect
95. #539	C₂²	semidirect
96. #539	C₂²	semidirect
97. #539	C₂²	semidirect
98. #538	C₂²	semidirect
99. #538	C₂²	semidirect
100. #538	C₂²	semidirect
101. #538	C₂²	semidirect
102. #538	C₂²	semidirect
103. #538	C₂²	semidirect
104. #537	C₂²	semidirect
105. #537	C₂²	semidirect
106. #537	C₂²	semidirect
107. #536	C₂²	semidirect
108. #536	C₂²	semidirect
109. #535	C₂²	semidirect
110. #535	C₂²	semidirect
111. #535	C₂²	semidirect
112. #535	C₂²	semidirect
113. #534	C₂²	semidirect
114. #534	C₂²	semidirect
115. #533	C₂²	semidirect
116. #532	C₂²	semidirect
117. #529	C₂²	semidirect
118. #529	C₂²	semidirect
119. #529	C₂²	semidirect
121. #525	C₂²	semidirect
122. #525	C₂²	semidirect
123. #525	C₂²	semidirect
124. #525	C₂²	semidirect
125. #525	C₂²	semidirect
126. #525	C₂²	semidirect
127. #525	C₂²	semidirect
128. #525	C₂²	semidirect
129. #525	C₂²	semidirect
130. #525	C₂²	semidirect
131. #525	C₂²	semidirect
132. #525	C₂²	semidirect
133. #525	C₂²	semidirect
134. #525	C₂²	semidirect
135. #525	C₂²	semidirect
136. #525	C₂²	semidirect
137. #525	C₂²	semidirect
138. #525	C₂²	semidirect
139. C₂×#123	C₂²	semidirect
140. C₂×#123	C₂²	semidirect
141. C₂×#123	C₂²	semidirect
142. C₂×C₂²⋊Q₈	C₂²	semidirect
143. C₂×C₂²⋊Q₈	C₂²	semidirect
144. C₂×C₂²⋊Q₈	C₂²	semidirect
145. C₂×C₂²⋊Q₈	C₂²	semidirect
146. C₂×#121	C₂²	semidirect
147. C₂×#121	C₂²	semidirect
148. C₂×#121	C₂²	semidirect
149. C₂×#121	C₂²	semidirect
150. C₂×#120	C₂²	semidirect
151. C₂×#120	C₂²	semidirect
152. #520	C₂²	semidirect
153. #520	C₂²	semidirect
154. #520	C₂²	semidirect
155. #519	C₂²	semidirect
156. #518	C₂²	semidirect
157. #518	C₂²	semidirect
158. C₂×C₄×D₄	C₂²	semidirect
159. C₂×C₄×D₄	C₂²	semidirect
160. C₂×C₄×D₄	C₂²	semidirect
161. C₂×#117	C₂²	semidirect
162. C₂×#117	C₂²	semidirect
178. C₂×#41	C₂³	semidirect
179. C₂×#41	C₂³	semidirect
182. C₂²×Q₈	C₂³	semidirect
192. C₂²×D₄	C₂³	semidirect
204. C₄⋊Q₈	C₂³	semidirect
205. C₄⋊Q₈	C₂³	semidirect
206. C₄⋊Q₈	C₂³	semidirect
207. C₄⋊Q₈	C₂³	semidirect
211. #127	C₂³	semidirect
216. #126	C₂³	semidirect
217. #126	C₂³	semidirect
218. #126	C₂³	semidirect
219. #126	C₂³	semidirect
220. #126	C₂³	semidirect
221. #126	C₂³	semidirect
222. #125	C₂³	semidirect
223. #125	C₂³	semidirect
224. #125	C₂³	semidirect
225. #125	C₂³	semidirect
226. #125	C₂³	semidirect
227. #125	C₂³	semidirect
235. #124	C₂³	semidirect
236. #124	C₂³	semidirect
237. #124	C₂³	semidirect
238. #124	C₂³	semidirect
239. #124	C₂³	semidirect
261. #123	C₂³	semidirect
262. #123	C₂³	semidirect
263. #123	C₂³	semidirect
264. #123	C₂³	semidirect
265. #123	C₂³	semidirect
266. #123	C₂³	semidirect
267. #123	C₂³	semidirect
287. C₂²⋊Q₈	C₂³	semidirect
288. C₂²⋊Q₈	C₂³	semidirect
289. C₂²⋊Q₈	C₂³	semidirect
290. C₂²⋊Q₈	C₂³	semidirect
291. C₂²⋊Q₈	C₂³	semidirect
292. C₂²⋊Q₈	C₂³	semidirect
293. C₂²⋊Q₈	C₂³	semidirect
294. C₂²⋊Q₈	C₂³	semidirect
295. C₂²⋊Q₈	C₂³	semidirect
296. C₂²⋊Q₈	C₂³	semidirect
328. #121	C₂³	semidirect
329. #121	C₂³	semidirect
330. #121	C₂³	semidirect
331. #121	C₂³	semidirect
332. #121	C₂³	semidirect
333. #121	C₂³	semidirect
334. #121	C₂³	semidirect
335. #121	C₂³	semidirect
353. #120	C₂³	semidirect
354. C₄×Q₈	C₂³	semidirect
355. C₄×Q₈	C₂³	semidirect
356. C₄×Q₈	C₂³	semidirect
357. C₄×Q₈	C₂³	semidirect
358. C₄×Q₈	C₂³	semidirect
359. C₄×Q₈	C₂³	semidirect
386. C₄×D₄	C₂³	semidirect
387. C₄×D₄	C₂³	semidirect
388. C₄×D₄	C₂³	semidirect
389. C₄×D₄	C₂³	semidirect
390. C₄×D₄	C₂³	semidirect
391. C₄×D₄	C₂³	semidirect
392. C₄×D₄	C₂³	semidirect
393. C₄×D₄	C₂³	semidirect
394. C₄×D₄	C₂³	semidirect
395. C₄×D₄	C₂³	semidirect
406. #117	C₂³	semidirect
407. #117	C₂³	semidirect
408. #117	C₂³	semidirect
409. #117	C₂³	semidirect
410. #117	C₂³	semidirect
411. #117	C₂³	semidirect
418. C₂×C₄⋊C₄	C₂³	semidirect
419. C₂×C₄⋊C₄	C₂³	semidirect
420. C₂×C₄⋊C₄	C₂³	semidirect
421. C₂×C₄⋊C₄	C₂³	semidirect
432. C₂×C₂²⋊C₄	C₂³	semidirect
433. C₂×C₂²⋊C₄	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#3542	2
#3541	2
#3540	2
#3539	2
#3533	2
#3532	2
#3520	2
#3519	2
#3513	2
#3506	2
#3505	2
#3495	2
#3494	2
#3493	2
#3489	2
#3488	2
#3487	2
#3485	2
C₂×#525	2