Subgroups — #62752

Order 256.

3264 conjugacy classes of subgroups.

The subgroup lattice has 801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3565	C₂	1	4	yes	maximal, complemented
2	#3564	C₂	1	4	yes	maximal, complemented
3	#3563	C₂	1	2	yes	maximal, complemented
4	#3563	C₂	1	2	yes	maximal, complemented
5	#3561	C₂	1	2	yes	maximal, complemented
6	#3559	C₂	1	2	yes	maximal, complemented
7	#3555	C₂	1	2	yes	maximal, complemented
8	#3552	C₂	1	2	yes	maximal, complemented
9	#3547	C₂	1	2	yes	maximal, complemented
10	#3544	C₂	1	2	yes	maximal, complemented
11	#3538	C₂	1	2	yes	maximal, complemented
12	#3536	C₂	1	2	yes	maximal, complemented
13	#3535	C₂	1	4	yes	maximal, complemented
14	#3531	C₂	1	4	yes	maximal, complemented
15	#3482	C₂	1	4	yes	maximal, complemented
16	Q₈×#41	C₂	1	2	yes	maximal, complemented
17	#3475	C₂	1	4	yes	maximal, complemented
18	#3475	C₂	1	2	yes	maximal, complemented
19	#3461	C₂	1	4	yes	maximal, complemented
20	#3461	C₂	1	4	yes	maximal, complemented
21	#3458	C₂	1	2	yes	maximal, complemented
22	#3455	C₂	1	2	yes	maximal, complemented
23	#3444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#533	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#529	C₂	1	1	yes	maximal, characteristic, complemented
26	#564	C₂²	1	4	yes	complemented
27	#563	C₂²	1	8	yes	complemented
28	#563	C₂²	1	8	yes	complemented
29	#563	C₂²	1	8	yes	complemented
30	#563	C₂²	1	8	yes	complemented
31	#563	C₂²	1	4	yes	complemented
32	#563	C₂²	1	4	yes	complemented
33	#562	C₂²	1	8	yes	—
34	#562	C₂²	1	8	yes	complemented
35	#562	C₂²	1	4	yes	complemented
36	Q₈²	C₂²	1	2	yes	complemented
37	#557	C₂²	1	2	yes	complemented
38	#557	C₂²	1	4	yes	complemented
39	#557	C₂²	1	4	yes	complemented
40	#556	C₂²	1	2	yes	complemented
41	#556	C₂²	1	4	yes	complemented
42	#556	C₂²	1	4	yes	complemented
43	#556	C₂²	1	8	yes	complemented
44	#555	C₂²	1	2	yes	complemented
45	#555	C₂²	1	4	yes	complemented
46	#554	C₂²	1	8	yes	—
47	#554	C₂²	1	4	yes	—
48	#554	C₂²	1	2	yes	complemented
49	#554	C₂²	1	4	yes	complemented
50	#554	C₂²	1	2	yes	complemented
51	#554	C₂²	1	4	yes	complemented
52	#553	C₂²	1	4	yes	complemented
53	#553	C₂²	1	4	yes	complemented
54	#553	C₂²	1	4	yes	complemented
55	#552	C₂²	1	4	yes	—
56	#552	C₂²	1	8	yes	—
57	#552	C₂²	1	4	yes	complemented
58	#552	C₂²	1	4	yes	complemented
59	#552	C₂²	1	4	yes	complemented
60	#552	C₂²	1	8	yes	complemented
61	#552	C₂²	1	4	yes	complemented
62	#552	C₂²	1	4	yes	complemented
63	#552	C₂²	1	8	yes	complemented
64	#551	C₂²	1	8	yes	—
65	#551	C₂²	1	8	yes	—
66	#551	C₂²	1	8	yes	—
67	D₄×Q₈	C₂²	1	4	yes	—
68	D₄×Q₈	C₂²	1	2	yes	complemented
69	D₄×Q₈	C₂²	1	4	yes	complemented
70	#548	C₂²	1	4	yes	—
71	#548	C₂²	1	4	yes	complemented
72	#547	C₂²	1	4	yes	—
73	#547	C₂²	1	4	yes	complemented
74	#547	C₂²	1	2	yes	complemented
75	#547	C₂²	1	8	yes	complemented
76	#546	C₂²	1	8	yes	—
77	#546	C₂²	1	4	yes	—
78	#544	C₂²	1	4	yes	—
79	#544	C₂²	1	4	yes	—
80	#544	C₂²	1	4	yes	complemented
81	#544	C₂²	1	4	yes	complemented
82	#544	C₂²	1	4	yes	complemented
83	#544	C₂²	1	4	yes	complemented
84	#544	C₂²	1	4	yes	complemented
85	#544	C₂²	1	4	yes	complemented
86	#543	C₂²	1	4	yes	—
87	#543	C₂²	1	4	yes	—
88	#542	C₂²	1	4	yes	—
89	#542	C₂²	1	4	yes	complemented
90	#542	C₂²	1	4	yes	complemented
91	#542	C₂²	1	8	yes	complemented
92	#542	C₂²	1	4	yes	complemented
93	#542	C₂²	1	8	yes	complemented
94	#542	C₂²	1	8	yes	complemented
95	#541	C₂²	1	4	yes	complemented
96	#541	C₂²	1	4	yes	complemented
97	#541	C₂²	1	4	yes	complemented
98	#541	C₂²	1	8	yes	complemented
99	#541	C₂²	1	8	yes	complemented
100	#541	C₂²	1	8	yes	complemented
101	#540	C₂²	1	4	yes	complemented
102	#539	C₂²	1	4	yes	—
103	#539	C₂²	1	4	yes	—
104	#539	C₂²	1	4	yes	—
105	#539	C₂²	1	8	yes	complemented
106	#539	C₂²	1	8	yes	complemented
107	#539	C₂²	1	4	yes	complemented
108	#539	C₂²	1	8	yes	complemented
109	#538	C₂²	1	4	yes	—
110	#538	C₂²	1	4	yes	—
111	#537	C₂²	1	4	yes	—
112	#537	C₂²	1	4	yes	—
113	#536	C₂²	1	8	yes	complemented
114	#536	C₂²	1	4	yes	complemented
115	#536	C₂²	1	4	yes	complemented
116	#533	C₂²	1	2	yes	—
117	#533	C₂²	1	2	yes	—
118	#533	C₂²	1	2	yes	—
119	#533	C₂²	1	2	yes	—
120	#533	C₂²	1	1	yes	characteristic
121	#533	C₂²	1	4	yes	—
122	#533	C₂²	1	2	yes	complemented
123	#533	C₂²	1	2	yes	complemented
124	#533	C₂²	1	2	yes	complemented
125	#533	C₂²	1	2	yes	complemented
126	#533	C₂²	1	1	yes	characteristic, complemented
127	#533	C₂²	1	1	yes	characteristic, complemented
128	#533	C₂²	1	8	yes	complemented
129	#533	C₂²	1	8	yes	complemented
130	#533	C₂²	1	4	yes	complemented
131	#533	C₂²	1	8	yes	complemented
132	#532	C₂²	1	1	yes	characteristic
133	#532	C₂²	1	1	yes	characteristic, complemented
134	#532	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
137	#529	C₂²	1	2	yes	—
138	#529	C₂²	1	2	yes	—
139	#529	C₂²	1	2	yes	—
140	#529	C₂²	1	2	yes	—
141	#529	C₂²	1	2	yes	—
142	#529	C₂²	1	2	yes	—
143	#529	C₂²	1	2	yes	—
144	#529	C₂²	1	2	yes	—
145	#529	C₂²	1	2	yes	—
146	#529	C₂²	1	2	yes	—
147	#529	C₂²	1	2	yes	complemented
148	#529	C₂²	1	2	yes	complemented
149	#529	C₂²	1	2	yes	complemented
150	#529	C₂²	1	2	yes	complemented
151	#529	C₂²	1	8	yes	complemented
152	#529	C₂²	1	8	yes	complemented
153	#529	C₂²	1	8	yes	complemented
154	#529	C₂²	1	4	yes	complemented
155	#529	C₂²	1	8	yes	complemented
156	#529	C₂²	1	8	yes	complemented
157	#529	C₂²	1	8	yes	complemented
158	C₂×#126	C₂²	1	2	yes	—
159	C₂×#125	C₂²	1	1	yes	characteristic
160	C₂×#125	C₂²	1	2	yes	complemented
161	C₂×#124	C₂²	1	1	yes	characteristic
162	#525	C₂²	1	2	yes	—
163	#525	C₂²	1	2	yes	—
164	#525	C₂²	1	2	yes	—
165	#525	C₂²	1	4	yes	—
166	C₂×#123	C₂²	1	2	yes	—
167	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
168	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
169	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
170	C₂×#121	C₂²	1	1	yes	characteristic
171	C₄×#41	C₂²	1	2	yes	—
172	C₄×#41	C₂²	1	4	yes	—
173	C₄×#41	C₂²	1	2	yes	complemented
174	C₄×#41	C₂²	1	2	yes	complemented
175	C₄×#41	C₂²	1	8	yes	complemented
176	C₄×#41	C₂²	1	4	yes	complemented
177	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
178	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
179	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
180	C₂×C₄×Q₈	C₂²	1	4	yes	complemented
181	C₂×C₄×D₄	C₂²	1	2	yes	—
182	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
183	C₂×#117	C₂²	1	2	yes	—
184	C₂×#117	C₂²	1	2	yes	—
185	C₂×#117	C₂²	1	4	yes	—
186	C₂²×C₄²	C₂²	1	1	yes	characteristic
187	C₂×#41	C₂³	1	2	yes	—
188	C₂×#41	C₂³	1	2	yes	—
189	C₂×#41	C₂³	1	2	yes	—
190	C₂×#41	C₂³	1	8	yes	—
191	C₂×#41	C₂³	1	4	yes	—
192	C₂²×Q₈	C₂³	1	1	yes	characteristic
193	C₂²×Q₈	C₂³	1	2	yes	—
194	C₂²×Q₈	C₂³	1	2	yes	—
195	C₂²×Q₈	C₂³	1	4	yes	—
196	C₂²×D₄	C₂³	1	2	yes	—
197	C₂²×D₄	C₂³	1	1	yes	characteristic
198	C₂³×C₄	C₂³	1	2	yes	—
199	C₂³×C₄	C₂³	1	1	yes	characteristic
200	C₂³×C₄	C₂³	1	1	yes	characteristic
201	C₂³×C₄	C₂³	1	1	yes	characteristic
202	C₄⋊Q₈	C₂³	1	2	yes	—
203	C₄⋊Q₈	C₂³	1	2	yes	—
204	C₄⋊Q₈	C₂³	1	2	yes	—
205	C₄⋊Q₈	C₂³	1	2	yes	—
206	C₄⋊Q₈	C₂³	1	2	yes	—
207	C₄⋊Q₈	C₂³	1	2	yes	—
208	C₄⋊Q₈	C₂³	1	2	yes	—
209	C₄⋊Q₈	C₂³	1	2	yes	—
210	C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₄⋊Q₈	C₂³	1	4	yes	—
214	C₄⋊Q₈	C₂³	1	4	yes	—
215	C₄⋊Q₈	C₂³	1	8	yes	—
216	C₄⋊Q₈	C₂³	1	8	yes	—
217	C₄⋊Q₈	C₂³	1	4	yes	—
218	C₄⋊Q₈	C₂³	1	8	yes	—
219	C₄⋊Q₈	C₂³	1	4	yes	—
220	C₄⋊Q₈	C₂³	1	8	yes	—
221	C₄⋊Q₈	C₂³	1	8	yes	—
222	C₄⋊Q₈	C₂³	1	8	yes	—
223	#127	C₂³	1	1	yes	characteristic
224	#126	C₂³	1	4	yes	—
225	#126	C₂³	1	4	yes	—
226	#126	C₂³	1	4	yes	—
227	#126	C₂³	1	4	yes	—
228	#126	C₂³	1	4	yes	—
229	#126	C₂³	1	4	yes	—
230	#126	C₂³	1	8	yes	—
231	#126	C₂³	1	8	yes	—
232	#126	C₂³	1	8	yes	—
233	#126	C₂³	1	8	yes	—
234	#126	C₂³	1	8	yes	—
235	#126	C₂³	1	8	yes	—
236	#126	C₂³	1	8	yes	—
237	#126	C₂³	1	8	yes	—
238	#126	C₂³	1	8	yes	—
239	#126	C₂³	1	8	yes	—
240	#126	C₂³	1	8	yes	—
241	#126	C₂³	1	8	yes	—
242	#126	C₂³	1	8	yes	—
243	#125	C₂³	1	2	yes	—
244	#125	C₂³	1	2	yes	—
245	#125	C₂³	1	2	yes	—
246	#125	C₂³	1	2	yes	—
247	#125	C₂³	1	4	yes	—
248	#125	C₂³	1	4	yes	—
249	#125	C₂³	1	4	yes	—
250	#125	C₂³	1	4	yes	—
251	#125	C₂³	1	2	yes	—
252	#125	C₂³	1	2	yes	—
253	#125	C₂³	1	2	yes	—
254	#125	C₂³	1	8	yes	—
255	#125	C₂³	1	8	yes	—
256	#125	C₂³	1	8	yes	—
257	#125	C₂³	1	8	yes	—
258	#125	C₂³	1	4	yes	—
259	#125	C₂³	1	8	yes	—
260	#125	C₂³	1	8	yes	—
261	#125	C₂³	1	4	yes	—
262	#125	C₂³	1	4	yes	—
263	#125	C₂³	1	8	yes	—
264	#125	C₂³	1	8	yes	—
265	#125	C₂³	1	8	yes	—
266	#125	C₂³	1	8	yes	—
267	#125	C₂³	1	8	yes	—
268	#125	C₂³	1	8	yes	—
269	#125	C₂³	1	8	yes	—
270	#124	C₂³	1	2	yes	—
271	#124	C₂³	1	2	yes	—
272	#124	C₂³	1	2	yes	—
273	#124	C₂³	1	2	yes	—
274	#124	C₂³	1	2	yes	—
275	#124	C₂³	1	2	yes	—
276	#124	C₂³	1	2	yes	—
277	#124	C₂³	1	8	yes	—
278	#124	C₂³	1	4	yes	—
279	#124	C₂³	1	8	yes	—
280	#124	C₂³	1	8	yes	—
281	#124	C₂³	1	8	yes	—
282	#124	C₂³	1	8	yes	—
283	#124	C₂³	1	8	yes	—
284	#123	C₂³	1	4	yes	—
285	#123	C₂³	1	4	yes	—
286	#123	C₂³	1	4	yes	—
287	#123	C₂³	1	4	yes	—
288	#123	C₂³	1	4	yes	—
289	#123	C₂³	1	4	yes	—
290	#123	C₂³	1	4	yes	—
291	#123	C₂³	1	8	yes	—
292	#123	C₂³	1	8	yes	—
293	#123	C₂³	1	8	yes	—
294	#123	C₂³	1	8	yes	—
295	#123	C₂³	1	8	yes	—
296	#123	C₂³	1	8	yes	—
297	#123	C₂³	1	8	yes	—
298	#123	C₂³	1	8	yes	—
299	#123	C₂³	1	8	yes	—
300	#123	C₂³	1	8	yes	—
301	#123	C₂³	1	8	yes	—
302	#123	C₂³	1	8	yes	—
303	#123	C₂³	1	8	yes	—
304	#123	C₂³	1	8	yes	—
305	C₂²⋊Q₈	C₂³	1	2	yes	—
306	C₂²⋊Q₈	C₂³	1	2	yes	—
307	C₂²⋊Q₈	C₂³	1	2	yes	—
308	C₂²⋊Q₈	C₂³	1	2	yes	—
309	C₂²⋊Q₈	C₂³	1	4	yes	—
310	C₂²⋊Q₈	C₂³	1	4	yes	—
311	C₂²⋊Q₈	C₂³	1	4	yes	—
312	C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₂²⋊Q₈	C₂³	1	4	yes	—
314	C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₂²⋊Q₈	C₂³	1	2	yes	—
318	C₂²⋊Q₈	C₂³	1	2	yes	—
319	C₂²⋊Q₈	C₂³	1	2	yes	—
320	C₂²⋊Q₈	C₂³	1	2	yes	—
321	C₂²⋊Q₈	C₂³	1	2	yes	—
322	C₂²⋊Q₈	C₂³	1	2	yes	—
323	C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₂²⋊Q₈	C₂³	1	4	yes	—
325	C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₂²⋊Q₈	C₂³	1	8	yes	—
329	C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₂²⋊Q₈	C₂³	1	8	yes	—
332	C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₂²⋊Q₈	C₂³	1	8	yes	—
334	C₂²⋊Q₈	C₂³	1	8	yes	—
335	C₂²⋊Q₈	C₂³	1	8	yes	—
336	C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₂²⋊Q₈	C₂³	1	8	yes	—
338	C₂²⋊Q₈	C₂³	1	8	yes	—
339	C₂²⋊Q₈	C₂³	1	8	yes	—
340	C₂²⋊Q₈	C₂³	1	4	yes	—
341	C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₂²⋊Q₈	C₂³	1	8	yes	—
343	C₂²⋊Q₈	C₂³	1	8	yes	—
344	C₂²⋊Q₈	C₂³	1	8	yes	—
345	C₂²⋊Q₈	C₂³	1	8	yes	—
346	C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₂²⋊Q₈	C₂³	1	8	yes	—
348	C₂²⋊Q₈	C₂³	1	8	yes	—
349	#121	C₂³	1	2	yes	—
350	#121	C₂³	1	2	yes	—
351	#121	C₂³	1	2	yes	—
352	#121	C₂³	1	2	yes	—
353	#121	C₂³	1	2	yes	—
354	#121	C₂³	1	2	yes	—
355	#121	C₂³	1	2	yes	—
356	#121	C₂³	1	2	yes	—
357	#121	C₂³	1	2	yes	—
358	#121	C₂³	1	2	yes	—
359	#121	C₂³	1	4	yes	—
360	#121	C₂³	1	4	yes	—
361	#121	C₂³	1	8	yes	—
362	#121	C₂³	1	8	yes	—
363	#121	C₂³	1	8	yes	—
364	#121	C₂³	1	4	yes	—
365	#121	C₂³	1	8	yes	—
366	#121	C₂³	1	8	yes	—
367	#121	C₂³	1	8	yes	—
368	#120	C₂³	1	4	yes	—
369	#120	C₂³	1	8	yes	—
370	C₄×Q₈	C₂³	1	2	yes	—
371	C₄×Q₈	C₂³	1	2	yes	—
372	C₄×Q₈	C₂³	1	2	yes	—
373	C₄×Q₈	C₂³	1	2	yes	—
374	C₄×Q₈	C₂³	1	4	yes	—
375	C₄×Q₈	C₂³	1	4	yes	—
376	C₄×Q₈	C₂³	1	4	yes	—
377	C₄×Q₈	C₂³	1	4	yes	—
378	C₄×Q₈	C₂³	1	8	yes	—
379	C₄×Q₈	C₂³	1	4	yes	—
380	C₄×Q₈	C₂³	1	4	yes	—
381	C₄×Q₈	C₂³	1	4	yes	—
382	C₄×Q₈	C₂³	1	4	yes	—
383	C₄×Q₈	C₂³	1	4	yes	—
384	C₄×Q₈	C₂³	1	4	yes	—
385	C₄×Q₈	C₂³	1	8	yes	—
386	C₄×Q₈	C₂³	1	2	yes	—
387	C₄×Q₈	C₂³	1	2	yes	—
388	C₄×Q₈	C₂³	1	4	yes	—
389	C₄×Q₈	C₂³	1	4	yes	—
390	C₄×Q₈	C₂³	1	2	yes	—
391	C₄×Q₈	C₂³	1	2	yes	—
392	C₄×Q₈	C₂³	1	2	yes	—
393	C₄×Q₈	C₂³	1	2	yes	—
394	C₄×Q₈	C₂³	1	8	yes	—
395	C₄×Q₈	C₂³	1	4	yes	—
396	C₄×Q₈	C₂³	1	8	yes	—
397	C₄×D₄	C₂³	1	2	yes	—
398	C₄×D₄	C₂³	1	4	yes	—
399	C₄×D₄	C₂³	1	4	yes	—
400	C₄×D₄	C₂³	1	2	yes	—
401	C₄×D₄	C₂³	1	4	yes	—
402	C₄×D₄	C₂³	1	2	yes	—
403	C₄×D₄	C₂³	1	2	yes	—
404	C₄×D₄	C₂³	1	4	yes	—
405	C₄×D₄	C₂³	1	4	yes	—
406	C₄×D₄	C₂³	1	4	yes	—
407	C₄×D₄	C₂³	1	2	yes	—
408	C₄×D₄	C₂³	1	2	yes	—
409	C₄×D₄	C₂³	1	8	yes	—
410	C₄×D₄	C₂³	1	8	yes	—
411	C₄×D₄	C₂³	1	4	yes	—
412	C₄×D₄	C₂³	1	4	yes	—
413	C₄×D₄	C₂³	1	4	yes	—
414	C₄×D₄	C₂³	1	4	yes	—
415	C₄×D₄	C₂³	1	8	yes	—
416	C₄×D₄	C₂³	1	8	yes	—
417	C₄×D₄	C₂³	1	4	yes	—
418	C₄×D₄	C₂³	1	4	yes	—
419	C₄×D₄	C₂³	1	2	yes	—
420	C₄×D₄	C₂³	1	2	yes	—
421	C₄×D₄	C₂³	1	2	yes	—
422	C₄×D₄	C₂³	1	2	yes	—
423	C₄×D₄	C₂³	1	8	yes	—
424	C₄×D₄	C₂³	1	8	yes	—
425	C₄×D₄	C₂³	1	8	yes	—
426	C₄×D₄	C₂³	1	4	yes	—
427	C₄×D₄	C₂³	1	8	yes	—
428	#117	C₂³	1	4	yes	—
429	#117	C₂³	1	2	yes	—
430	#117	C₂³	1	4	yes	—
431	#117	C₂³	1	4	yes	—
432	#117	C₂³	1	4	yes	—
433	#117	C₂³	1	4	yes	—
434	#117	C₂³	1	4	yes	—
435	#117	C₂³	1	8	yes	—
436	#117	C₂³	1	4	yes	—
437	#117	C₂³	1	4	yes	—
438	#117	C₂³	1	8	yes	—
439	#117	C₂³	1	4	yes	—
440	#117	C₂³	1	4	yes	—
441	#117	C₂³	1	4	yes	—
442	#117	C₂³	1	8	yes	—
443	#117	C₂³	1	2	yes	—
444	#117	C₂³	1	2	yes	—
445	#117	C₂³	1	4	yes	—
446	#117	C₂³	1	4	yes	—
447	#117	C₂³	1	8	yes	—
448	#117	C₂³	1	4	yes	—
449	#117	C₂³	1	8	yes	—
450	#117	C₂³	1	8	yes	—
451	#117	C₂³	1	8	yes	—
452	C₂×C₄⋊C₄	C₂³	1	2	yes	—
453	C₂×C₄⋊C₄	C₂³	1	2	yes	—
454	C₂×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂×C₄⋊C₄	C₂³	1	2	yes	—
456	C₂×C₄⋊C₄	C₂³	1	4	yes	—
457	C₂×C₄⋊C₄	C₂³	1	4	yes	—
458	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
459	C₂×C₄⋊C₄	C₂³	1	2	yes	—
460	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
461	C₂×C₄⋊C₄	C₂³	1	2	yes	—
462	C₂×C₄⋊C₄	C₂³	1	4	yes	—
463	C₂×C₄⋊C₄	C₂³	1	4	yes	—
464	C₂×C₄⋊C₄	C₂³	1	2	yes	—
465	C₂×C₄⋊C₄	C₂³	1	2	yes	—
466	C₂×C₄⋊C₄	C₂³	1	4	yes	—
467	C₂×C₄⋊C₄	C₂³	1	8	yes	—
468	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
469	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
470	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
471	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
472	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
473	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
474	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
475	C₂×C₄²	C₂³	1	1	yes	characteristic
476	C₂×C₄²	C₂³	1	2	yes	—
477	C₂×C₄²	C₂³	1	4	yes	—
478	C₂×C₄²	C₂³	1	8	yes	—
479	C₂×C₄²	C₂³	1	1	yes	characteristic
480	C₂×C₄²	C₂³	1	1	yes	characteristic
481	C₂×C₄²	C₂³	1	1	yes	characteristic
482	C₂×C₄²	C₂³	1	4	yes	—
483	C₂×C₄²	C₂³	1	8	yes	—
484	C₂×C₄²	C₂³	1	1	yes	characteristic
485	C₂×C₄²	C₂³	1	1	yes	characteristic
486	C₂×C₄²	C₂³	1	1	yes	characteristic
487	C₂×C₄²	C₂³	1	1	yes	characteristic
488	C₂×C₄²	C₂³	1	1	yes	characteristic
489	C₂×C₄²	C₂³	1	1	yes	characteristic
490	C₂×C₄²	C₂³	1	1	yes	characteristic
491	C₂×C₄²	C₂³	1	1	yes	characteristic
492	C₂⁴	C₂⁴	1	1	yes	characteristic
493	C₂⁴	C₂⁴	1	2	yes	—
494	#41	—	2	8	no	—
495	#41	—	4	4	no	—
496	#41	—	4	4	no	—
497	#41	—	4	16	no	—
498	#41	—	4	8	no	—
499	C₂×Q₈	—	4	4	no	—
500	C₂×Q₈	—	4	2	no	—
501	C₂×Q₈	—	4	4	no	—
502	C₂×Q₈	—	4	8	no	—
503	C₂×Q₈	C₂⁴	1	2	yes	—
504	C₂×Q₈	C₂⁴	1	2	yes	—
505	C₂×Q₈	C₂⁴	1	4	yes	—
506	C₂×Q₈	C₂⁴	1	2	yes	—
507	C₂×Q₈	C₂⁴	1	4	yes	—
508	C₂×Q₈	C₂⁴	1	4	yes	—
509	C₂×Q₈	C₂⁴	1	4	yes	—
510	C₂×Q₈	C₂⁴	1	8	yes	—
511	C₂×Q₈	C₂⁴	1	2	yes	—
512	C₂×Q₈	C₂⁴	1	2	yes	—
513	C₂×Q₈	C₂⁴	1	8	yes	—
514	C₂×D₄	—	4	2	no	—
515	C₂×D₄	—	4	4	no	—
516	C₂×D₄	C₂⁴	1	4	yes	—
517	C₂×D₄	C₂⁴	1	2	yes	—
518	C₂×D₄	C₂⁴	1	4	yes	—
519	C₂×D₄	C₂⁴	1	4	yes	—
520	C₂×D₄	C₂⁴	1	2	yes	—
521	C₂×D₄	C₂⁴	1	4	yes	—
522	C₂×D₄	C₂⁴	1	8	yes	—
523	C₂×D₄	C₂⁴	1	8	yes	—
524	C₂×D₄	C₂⁴	1	2	yes	—
525	C₂×D₄	C₂⁴	1	4	yes	—
526	C₂×D₄	C₂⁴	1	2	yes	—
527	C₂×D₄	C₂⁴	1	2	yes	—
528	C₂²×C₄	—	2	4	no	—
529	C₂²×C₄	—	2	8	no	—
530	C₂²×C₄	—	4	2	no	—
531	C₂²×C₄	—	4	2	no	—
532	C₂²×C₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄	C₂⁴	1	4	yes	—
541	C₂²×C₄	C₂⁴	1	4	yes	—
542	C₂²×C₄	C₂⁴	1	2	yes	—
543	C₂²×C₄	C₂⁴	1	4	yes	—
544	C₂²×C₄	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄	C₂⁴	1	4	yes	—
546	C₂²×C₄	C₂⁴	1	4	yes	—
547	C₂²×C₄	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄	C₂⁴	1	2	yes	—
556	C₂²×C₄	C₂⁴	1	4	yes	—
557	C₂²×C₄	C₂⁴	1	2	yes	—
558	C₂²×C₄	C₂⁴	1	8	yes	—
559	C₂²×C₄	C₂⁴	1	8	yes	—
560	C₂²×C₄	C₂⁴	1	4	yes	—
561	C₂²×C₄	C₂⁴	1	8	yes	—
562	C₂²×C₄	C₂⁴	1	8	yes	—
563	C₂²×C₄	C₂⁴	1	1	yes	characteristic
564	C₄⋊C₄	C₂⁴	1	2	yes	—
565	C₄⋊C₄	C₂⁴	1	4	yes	—
566	C₄⋊C₄	C₂⁴	1	4	yes	—
567	C₄⋊C₄	C₂⁴	1	4	yes	—
568	C₄⋊C₄	C₂⁴	1	2	yes	—
569	C₄⋊C₄	C₂⁴	1	2	yes	—
570	C₄⋊C₄	C₂⁴	1	4	yes	—
571	C₄⋊C₄	C₂⁴	1	8	yes	—
572	C₄⋊C₄	C₂⁴	1	2	yes	—
573	C₄⋊C₄	C₂⁴	1	4	yes	—
574	C₄⋊C₄	C₂⁴	1	4	yes	—
575	C₄⋊C₄	C₂⁴	1	4	yes	—
576	C₄⋊C₄	C₂⁴	1	4	yes	—
577	C₄⋊C₄	C₂⁴	1	4	yes	—
578	C₄⋊C₄	C₂⁴	1	4	yes	—
579	C₄⋊C₄	C₂⁴	1	8	yes	—
580	C₄⋊C₄	C₂⁴	1	8	yes	—
581	C₄⋊C₄	C₂⁴	1	4	yes	—
582	C₄⋊C₄	C₂⁴	1	2	yes	—
583	C₄⋊C₄	C₂⁴	1	4	yes	—
584	C₄⋊C₄	C₂⁴	1	2	yes	—
585	C₄⋊C₄	C₂⁴	1	8	yes	—
586	C₄⋊C₄	C₂⁴	1	8	yes	—
587	C₄⋊C₄	C₂⁴	1	8	yes	—
588	C₄⋊C₄	C₂⁴	1	8	yes	—
589	C₄⋊C₄	C₂⁴	1	8	yes	—
590	C₄⋊C₄	C₂⁴	1	4	yes	—
591	C₄⋊C₄	C₂⁴	1	4	yes	—
592	C₄⋊C₄	C₂⁴	1	4	yes	—
593	C₄⋊C₄	C₂⁴	1	4	yes	—
594	C₄⋊C₄	C₂⁴	1	8	yes	—
595	C₄⋊C₄	C₂⁴	1	4	yes	—
596	C₄⋊C₄	C₂⁴	1	2	yes	—
597	C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₄⋊C₄	C₂⁴	1	8	yes	—
599	C₄⋊C₄	C₂⁴	1	2	yes	—
600	C₄⋊C₄	C₂⁴	1	2	yes	—
601	C₄⋊C₄	C₂⁴	1	4	yes	—
602	C₄⋊C₄	C₂⁴	1	4	yes	—
603	C₄⋊C₄	C₂⁴	1	8	yes	—
604	C₄⋊C₄	C₂⁴	1	8	yes	—
605	C₄⋊C₄	C₂⁴	1	4	yes	—
606	C₄⋊C₄	C₂⁴	1	8	yes	—
607	C₄⋊C₄	C₂⁴	1	8	yes	—
608	C₄⋊C₄	C₂⁴	1	4	yes	—
609	C₄⋊C₄	C₂⁴	1	8	yes	—
610	C₄⋊C₄	C₂⁴	1	4	yes	—
611	C₄⋊C₄	C₂⁴	1	8	yes	—
612	C₂²⋊C₄	C₂⁴	1	8	yes	—
613	C₂²⋊C₄	C₂⁴	1	4	yes	—
614	C₂²⋊C₄	C₂⁴	1	4	yes	—
615	C₂²⋊C₄	C₂⁴	1	4	yes	—
616	C₂²⋊C₄	C₂⁴	1	4	yes	—
617	C₂²⋊C₄	C₂⁴	1	4	yes	—
618	C₂²⋊C₄	C₂⁴	1	4	yes	—
619	C₂²⋊C₄	C₂⁴	1	4	yes	—
620	C₂²⋊C₄	C₂⁴	1	8	yes	—
621	C₂²⋊C₄	C₂⁴	1	8	yes	—
622	C₂²⋊C₄	C₂⁴	1	8	yes	—
623	C₂²⋊C₄	C₂⁴	1	4	yes	—
624	C₂²⋊C₄	C₂⁴	1	4	yes	—
625	C₂²⋊C₄	C₂⁴	1	4	yes	—
626	C₂²⋊C₄	C₂⁴	1	4	yes	—
627	C₂²⋊C₄	C₂⁴	1	4	yes	—
628	C₂²⋊C₄	C₂⁴	1	4	yes	—
629	C₂²⋊C₄	C₂⁴	1	4	yes	—
630	C₂²⋊C₄	C₂⁴	1	8	yes	—
631	C₂²⋊C₄	C₂⁴	1	8	yes	—
632	C₂²⋊C₄	C₂⁴	1	4	yes	—
633	C₂²⋊C₄	C₂⁴	1	8	yes	—
634	C₂²⋊C₄	C₂⁴	1	4	yes	—
635	C₂²⋊C₄	C₂⁴	1	8	yes	—
636	C₂²⋊C₄	C₂⁴	1	4	yes	—
637	C₂²⋊C₄	C₂⁴	1	8	yes	—
638	C₂²⋊C₄	C₂⁴	1	8	yes	—
639	C₂²⋊C₄	C₂⁴	1	4	yes	—
640	C₂²⋊C₄	C₂⁴	1	4	yes	—
641	C₄²	C₂⁴	1	1	yes	characteristic
642	C₄²	C₂⁴	1	1	yes	characteristic
643	C₄²	C₂⁴	1	1	yes	characteristic
644	C₄²	C₂⁴	1	1	yes	characteristic
645	C₄²	C₂⁴	1	1	yes	characteristic
646	C₄²	C₂⁴	1	1	yes	characteristic
647	C₄²	C₂⁴	1	1	yes	characteristic
648	C₄²	C₂⁴	1	1	yes	characteristic
649	C₄²	C₂⁴	1	1	yes	characteristic
650	C₄²	C₂⁴	1	1	yes	characteristic
651	C₄²	C₂⁴	1	1	yes	characteristic
652	C₄²	C₂⁴	1	1	yes	characteristic
653	C₄²	C₂⁴	1	8	yes	—
654	C₄²	C₂⁴	1	4	yes	—
655	C₄²	C₂⁴	1	8	yes	—
656	C₄²	C₂⁴	1	4	yes	—
657	C₄²	C₂⁴	1	4	yes	—
658	C₄²	C₂⁴	1	8	yes	—
659	C₄²	C₂⁴	1	8	yes	—
660	C₄²	C₂⁴	1	8	yes	—
661	C₄²	C₂⁴	1	1	yes	characteristic
662	C₄²	C₂⁴	1	1	yes	characteristic
663	C₄²	C₂⁴	1	1	yes	characteristic
664	C₄²	C₂⁴	1	4	yes	—
665	C₄²	C₂⁴	1	1	yes	characteristic
666	C₄²	C₂⁴	1	8	yes	—
667	C₄²	C₂⁴	1	4	yes	—
668	C₂³	—	2	2	no	—
669	C₂³	—	2	2	no	—
670	C₂³	—	2	4	no	—
671	C₂³	—	4	1	no	—
672	C₂³	—	4	2	no	—
673	C₂³	—	4	2	no	—
674	C₂³	C₂⁵	1	1	yes	characteristic
675	C₂³	C₂⁵	1	4	yes	—
676	C₂³	C₂⁵	1	4	yes	—
677	C₂³	C₂⁵	1	1	yes	characteristic
678	C₂³	C₂⁵	1	1	yes	characteristic
679	Q₈	—	2	4	no	—
680	Q₈	—	2	4	no	—
681	Q₈	—	2	8	no	—
682	Q₈	—	4	2	no	—
683	Q₈	—	4	4	no	—
684	Q₈	—	4	4	no	—
685	Q₈	—	4	8	no	—
686	Q₈	—	4	4	no	—
687	Q₈	—	4	2	no	—
688	Q₈	—	4	2	no	—
689	Q₈	—	4	8	no	—
690	D₄	—	2	8	no	—
691	D₄	—	2	8	no	—
692	D₄	—	2	8	no	—
693	D₄	—	2	4	no	—
694	D₄	—	2	4	no	—
695	D₄	—	4	2	no	—
696	D₄	—	4	4	no	—
697	D₄	—	4	2	no	—
698	D₄	—	4	2	no	—
699	D₄	—	4	4	no	—
700	D₄	—	4	8	no	—
701	D₄	—	4	8	no	—
702	C₂×C₄	—	2	2	no	—
703	C₂×C₄	—	2	4	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	8	no	—
707	C₂×C₄	—	2	2	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	8	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	8	no	—
713	C₂×C₄	—	2	8	no	—
714	C₂×C₄	—	2	2	no	—
715	C₂×C₄	—	2	2	no	—
716	C₂×C₄	—	2	2	no	—
717	C₂×C₄	—	2	8	no	—
718	C₂×C₄	—	4	1	no	—
719	C₂×C₄	—	4	1	no	—
720	C₂×C₄	—	4	1	no	—
721	C₂×C₄	—	4	1	no	—
722	C₂×C₄	—	4	1	no	—
723	C₂×C₄	—	4	1	no	—
724	C₂×C₄	—	4	1	no	—
725	C₂×C₄	—	4	2	no	—
726	C₂×C₄	—	4	4	no	—
727	C₂×C₄	—	4	8	no	—
728	C₂×C₄	—	4	2	no	—
729	C₂×C₄	—	4	4	no	—
730	C₂×C₄	—	4	8	no	—
731	C₂×C₄	—	4	8	no	—
732	C₂×C₄	—	4	8	no	—
733	C₂×C₄	2₋¹⁺⁴	1	4	yes	—
734	C₂×C₄	C₂⁵	1	1	yes	characteristic
735	C₂×C₄	C₂⁵	1	1	yes	characteristic
736	C₂×C₄	C₂⁵	1	4	yes	—
737	C₂×C₄	C₂⁵	1	1	yes	characteristic
738	C₂×C₄	C₂⁵	1	4	yes	—
739	C₂×C₄	C₂⁵	1	1	yes	characteristic
740	C₂×C₄	C₂⁵	1	1	yes	characteristic
741	C₂×C₄	C₂⁵	1	1	yes	characteristic
742	C₂×C₄	C₂⁵	1	4	yes	—
743	C₂×C₄	C₂⁵	1	4	yes	—
744	C₂×C₄	C₂⁵	1	8	yes	—
745	C₂×C₄	C₂⁵	1	4	yes	—
746	C₂×C₄	C₂⁵	1	8	yes	—
747	C₂×C₄	C₂⁵	1	1	yes	characteristic
748	C₂×C₄	C₂⁵	1	1	yes	characteristic
749	C₂×C₄	C₂⁵	1	1	yes	characteristic
750	C₂×C₄	C₂⁵	1	4	yes	—
751	C₂×C₄	C₂⁵	1	1	yes	characteristic
752	C₂×C₄	C₂⁵	1	1	yes	characteristic
753	C₂×C₄	C₂⁵	1	1	yes	characteristic
754	C₂²	—	2	1	no	—
755	C₂²	—	2	1	no	—
756	C₂²	—	2	1	no	—
757	C₂²	—	2	1	no	—
758	C₂²	—	2	1	no	—
759	C₂²	—	2	4	no	—
760	C₂²	—	2	4	no	—
761	C₂²	—	2	4	no	—
762	C₂²	—	2	1	no	—
763	C₂²	—	2	4	no	—
764	C₂²	—	2	4	no	—
765	C₂²	—	2	4	no	—
766	C₂²	—	2	1	no	—
767	C₂²	—	4	4	no	—
768	C₂²	—	8	4	no	—
769	C₂²	C₂×2₋¹⁺⁴	1	2	yes	—
770	C₂²	#585	1	2	yes	—
771	C₂²	C₂⁶	1	1	yes	characteristic
772	C₄	—	2	1	no	—
773	C₄	—	2	1	no	—
774	C₄	—	2	4	no	—
775	C₄	—	2	4	no	—
776	C₄	—	2	1	no	—
777	C₄	—	2	1	no	—
778	C₄	—	2	1	no	—
779	C₄	—	2	1	no	—
780	C₄	—	2	8	no	—
781	C₄	—	2	4	no	—
782	C₄	—	2	1	no	—
783	C₄	—	2	1	no	—
784	C₄	—	2	1	no	—
785	C₄	—	2	4	no	—
786	C₄	—	2	4	no	—
787	C₄	—	2	8	no	—
788	C₄	—	2	4	no	—
789	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
790	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
791	C₄	#585	1	2	yes	—
792	C₂	—	2	2	no	—
793	C₂	—	2	2	no	—
794	C₂	—	4	4	no	—
795	C₂	—	4	1	no	—
796	C₂	—	4	4	no	—
797	C₂	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
798	C₂	C₂×#585	1	1	yes	characteristic
799	C₂	C₂×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁵
commutator, Frattini, socle, cosocle	C₂²	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #3565	C₂	semidirect
2. #3564	C₂	semidirect
3. #3563	C₂	semidirect
4. #3563	C₂	semidirect
5. #3561	C₂	semidirect
6. #3559	C₂	semidirect
7. #3555	C₂	semidirect
8. #3552	C₂	semidirect
9. #3547	C₂	semidirect
10. #3544	C₂	semidirect
11. #3538	C₂	semidirect
12. #3536	C₂	semidirect
13. #3535	C₂	semidirect
14. #3531	C₂	semidirect
15. #3482	C₂	semidirect
16. Q₈×#41	C₂	semidirect
17. #3475	C₂	semidirect
18. #3475	C₂	semidirect
19. #3461	C₂	semidirect
20. #3461	C₂	semidirect
21. #3458	C₂	semidirect
22. #3455	C₂	semidirect
23. #3444	C₂	semidirect
24. C₂×#533	C₂	semidirect
25. C₂×#529	C₂	semidirect
26. #564	C₂²	semidirect
27. #563	C₂²	semidirect
28. #563	C₂²	semidirect
29. #563	C₂²	semidirect
30. #563	C₂²	semidirect
31. #563	C₂²	semidirect
32. #563	C₂²	semidirect
34. #562	C₂²	semidirect
35. #562	C₂²	semidirect
36. Q₈²	C₂²	semidirect
37. #557	C₂²	semidirect
38. #557	C₂²	semidirect
39. #557	C₂²	semidirect
40. #556	C₂²	semidirect
41. #556	C₂²	semidirect
42. #556	C₂²	semidirect
43. #556	C₂²	semidirect
44. #555	C₂²	semidirect
45. #555	C₂²	semidirect
48. #554	C₂²	semidirect
49. #554	C₂²	semidirect
50. #554	C₂²	semidirect
51. #554	C₂²	semidirect
52. #553	C₂²	semidirect
53. #553	C₂²	semidirect
54. #553	C₂²	semidirect
57. #552	C₂²	semidirect
58. #552	C₂²	semidirect
59. #552	C₂²	semidirect
60. #552	C₂²	semidirect
61. #552	C₂²	semidirect
62. #552	C₂²	semidirect
63. #552	C₂²	semidirect
68. D₄×Q₈	C₂²	semidirect
69. D₄×Q₈	C₂²	semidirect
71. #548	C₂²	semidirect
73. #547	C₂²	semidirect
74. #547	C₂²	semidirect
75. #547	C₂²	semidirect
80. #544	C₂²	semidirect
81. #544	C₂²	semidirect
82. #544	C₂²	semidirect
83. #544	C₂²	semidirect
84. #544	C₂²	semidirect
85. #544	C₂²	semidirect
89. #542	C₂²	semidirect
90. #542	C₂²	semidirect
91. #542	C₂²	semidirect
92. #542	C₂²	semidirect
93. #542	C₂²	semidirect
94. #542	C₂²	semidirect
95. #541	C₂²	semidirect
96. #541	C₂²	semidirect
97. #541	C₂²	semidirect
98. #541	C₂²	semidirect
99. #541	C₂²	semidirect
100. #541	C₂²	semidirect
101. #540	C₂²	semidirect
105. #539	C₂²	semidirect
106. #539	C₂²	semidirect
107. #539	C₂²	semidirect
108. #539	C₂²	semidirect
113. #536	C₂²	semidirect
114. #536	C₂²	semidirect
115. #536	C₂²	semidirect
122. #533	C₂²	semidirect
123. #533	C₂²	semidirect
124. #533	C₂²	semidirect
125. #533	C₂²	semidirect
126. #533	C₂²	semidirect
127. #533	C₂²	semidirect
128. #533	C₂²	semidirect
129. #533	C₂²	semidirect
130. #533	C₂²	semidirect
131. #533	C₂²	semidirect
133. #532	C₂²	semidirect
134. #532	C₂²	semidirect
135. C₂×C₄⋊Q₈	C₂²	semidirect
136. C₂×C₄⋊Q₈	C₂²	semidirect
147. #529	C₂²	semidirect
148. #529	C₂²	semidirect
149. #529	C₂²	semidirect
150. #529	C₂²	semidirect
151. #529	C₂²	semidirect
152. #529	C₂²	semidirect
153. #529	C₂²	semidirect
154. #529	C₂²	semidirect
155. #529	C₂²	semidirect
156. #529	C₂²	semidirect
157. #529	C₂²	semidirect
160. C₂×#125	C₂²	semidirect
173. C₄×#41	C₂²	semidirect
174. C₄×#41	C₂²	semidirect
175. C₄×#41	C₂²	semidirect
176. C₄×#41	C₂²	semidirect
178. C₂×C₄×Q₈	C₂²	semidirect
179. C₂×C₄×Q₈	C₂²	semidirect
180. C₂×C₄×Q₈	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3565	2
#3564	2
#3563	2
#3561	2
#3559	2
#3555	2
#3552	2
#3547	2
#3544	2
#3538	2
#3536	2
#3535	2
#3531	2
#3482	2
Q₈×#41	2
#3475	2
#3461	2
#3458	2
#3455	2
#3444	2
C₂×#533	2
C₂×#529	2