Subgroups — #63025

Order 256.

3264 conjugacy classes of subgroups.

The subgroup lattice has 835 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	8	yes	maximal, complemented
3	#3561	C₂	1	4	yes	maximal, complemented
4	#3555	C₂	1	2	yes	maximal, complemented
5	#3555	C₂	1	2	yes	maximal, complemented
6	#3552	C₂	1	2	yes	maximal, complemented
7	#3550	C₂	1	1	yes	maximal, characteristic, complemented
8	#3541	C₂	1	4	yes	maximal, complemented
9	#3523	C₂	1	2	yes	maximal, complemented
10	#3521	C₂	1	4	yes	maximal, complemented
11	#3520	C₂	1	2	yes	maximal, complemented
12	#3518	C₂	1	2	yes	maximal, complemented
13	#3516	C₂	1	4	yes	maximal, complemented
14	#3514	C₂	1	2	yes	maximal, complemented
15	#3511	C₂	1	1	yes	maximal, characteristic, complemented
16	#3509	C₂	1	1	yes	maximal, characteristic, complemented
17	#3507	C₂	1	2	yes	maximal, complemented
18	#3503	C₂	1	1	yes	maximal, characteristic, complemented
19	#3501	C₂	1	2	yes	maximal, complemented
20	#3495	C₂	1	4	yes	maximal, complemented
21	#3482	C₂	1	1	yes	maximal, characteristic, complemented
22	#3482	C₂	1	1	yes	maximal, characteristic, complemented
23	#3481	C₂	1	1	yes	maximal, characteristic, complemented
24	Q₈×#41	C₂	1	2	yes	maximal, complemented
25	#3475	C₂	1	2	yes	maximal, complemented
26	C₂×#556	C₂	1	2	yes	maximal, complemented
27	#563	C₂²	1	8	yes	complemented
28	#563	C₂²	1	4	yes	complemented
29	#563	C₂²	1	8	yes	complemented
30	#563	C₂²	1	8	yes	complemented
31	#562	C₂²	1	8	yes	complemented
32	#559	C₂²	1	1	yes	characteristic
33	#559	C₂²	1	2	yes	—
34	Q₈²	C₂²	1	2	yes	complemented
35	Q₈²	C₂²	1	2	yes	complemented
36	#557	C₂²	1	2	yes	complemented
37	#557	C₂²	1	4	yes	complemented
38	#557	C₂²	1	1	yes	characteristic, complemented
39	#557	C₂²	1	1	yes	characteristic, complemented
40	#557	C₂²	1	2	yes	complemented
41	#557	C₂²	1	2	yes	complemented
42	#557	C₂²	1	4	yes	complemented
43	#556	C₂²	1	1	yes	characteristic
44	#556	C₂²	1	2	yes	—
45	#556	C₂²	1	4	yes	—
46	#556	C₂²	1	2	yes	—
47	#556	C₂²	1	4	yes	complemented
48	#556	C₂²	1	4	yes	complemented
49	#556	C₂²	1	2	yes	complemented
50	#556	C₂²	1	4	yes	complemented
51	#556	C₂²	1	2	yes	complemented
52	#556	C₂²	1	8	yes	complemented
53	#556	C₂²	1	2	yes	complemented
54	#556	C₂²	1	2	yes	complemented
55	#556	C₂²	1	1	yes	characteristic, complemented
56	#556	C₂²	1	2	yes	complemented
57	#556	C₂²	1	4	yes	complemented
58	#556	C₂²	1	4	yes	complemented
59	#556	C₂²	1	8	yes	complemented
60	#556	C₂²	1	4	yes	complemented
61	#555	C₂²	1	4	yes	—
62	#555	C₂²	1	2	yes	complemented
63	#554	C₂²	1	2	yes	—
64	#554	C₂²	1	1	yes	characteristic
65	#554	C₂²	1	4	yes	—
66	#554	C₂²	1	1	yes	characteristic
67	#554	C₂²	1	4	yes	complemented
68	#554	C₂²	1	8	yes	complemented
69	#554	C₂²	1	4	yes	complemented
70	#554	C₂²	1	4	yes	complemented
71	#554	C₂²	1	4	yes	complemented
72	#554	C₂²	1	2	yes	complemented
73	#554	C₂²	1	8	yes	complemented
74	#553	C₂²	1	2	yes	—
75	#553	C₂²	1	2	yes	—
76	#553	C₂²	1	4	yes	complemented
77	#553	C₂²	1	4	yes	complemented
78	#553	C₂²	1	8	yes	complemented
79	#552	C₂²	1	4	yes	complemented
80	#552	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	#552	C₂²	1	4	yes	complemented
85	#552	C₂²	1	8	yes	complemented
86	#552	C₂²	1	4	yes	complemented
87	#552	C₂²	1	8	yes	complemented
88	#552	C₂²	1	4	yes	complemented
89	#552	C₂²	1	4	yes	complemented
90	#552	C₂²	1	8	yes	complemented
91	#551	C₂²	1	4	yes	—
92	#551	C₂²	1	8	yes	—
93	#551	C₂²	1	8	yes	complemented
94	#551	C₂²	1	8	yes	complemented
95	#551	C₂²	1	8	yes	complemented
96	D₄×Q₈	C₂²	1	2	yes	—
97	D₄×Q₈	C₂²	1	1	yes	characteristic
98	D₄×Q₈	C₂²	1	4	yes	complemented
99	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
100	D₄×Q₈	C₂²	1	2	yes	complemented
101	D₄×Q₈	C₂²	1	4	yes	complemented
102	D₄×Q₈	C₂²	1	4	yes	complemented
103	D₄×Q₈	C₂²	1	2	yes	complemented
104	#548	C₂²	1	2	yes	—
105	#548	C₂²	1	4	yes	—
106	#548	C₂²	1	2	yes	complemented
107	#548	C₂²	1	4	yes	complemented
108	#548	C₂²	1	4	yes	complemented
109	#547	C₂²	1	1	yes	characteristic
110	#547	C₂²	1	1	yes	characteristic
111	#547	C₂²	1	2	yes	—
112	#547	C₂²	1	2	yes	complemented
113	#547	C₂²	1	2	yes	complemented
114	#546	C₂²	1	4	yes	—
115	#546	C₂²	1	2	yes	—
116	#546	C₂²	1	2	yes	—
117	#546	C₂²	1	4	yes	—
118	D₄²	C₂²	1	1	yes	characteristic
119	#544	C₂²	1	4	yes	complemented
120	#544	C₂²	1	4	yes	complemented
121	#544	C₂²	1	4	yes	complemented
122	#544	C₂²	1	2	yes	complemented
123	#543	C₂²	1	8	yes	complemented
124	#542	C₂²	1	4	yes	—
125	#542	C₂²	1	4	yes	—
126	#542	C₂²	1	8	yes	complemented
127	#542	C₂²	1	4	yes	complemented
128	#542	C₂²	1	8	yes	complemented
129	#542	C₂²	1	4	yes	complemented
130	#542	C₂²	1	4	yes	complemented
131	#542	C₂²	1	8	yes	complemented
132	#542	C₂²	1	4	yes	complemented
133	#541	C₂²	1	8	yes	complemented
134	#541	C₂²	1	4	yes	complemented
135	#541	C₂²	1	4	yes	complemented
136	#541	C₂²	1	8	yes	complemented
137	#541	C₂²	1	4	yes	complemented
138	#541	C₂²	1	4	yes	complemented
139	#541	C₂²	1	8	yes	complemented
140	#539	C₂²	1	8	yes	complemented
141	#539	C₂²	1	8	yes	complemented
142	#539	C₂²	1	8	yes	complemented
143	#538	C₂²	1	8	yes	—
144	#538	C₂²	1	8	yes	complemented
145	#537	C₂²	1	2	yes	complemented
146	#536	C₂²	1	2	yes	—
147	#536	C₂²	1	4	yes	complemented
148	#536	C₂²	1	4	yes	complemented
149	#533	C₂²	1	2	yes	complemented
150	#533	C₂²	1	8	yes	complemented
151	#533	C₂²	1	2	yes	complemented
152	#533	C₂²	1	4	yes	complemented
153	#533	C₂²	1	4	yes	complemented
154	#533	C₂²	1	2	yes	complemented
155	#533	C₂²	1	1	yes	characteristic, complemented
156	#533	C₂²	1	2	yes	complemented
157	#533	C₂²	1	1	yes	characteristic, complemented
158	#533	C₂²	1	2	yes	complemented
159	#533	C₂²	1	2	yes	complemented
160	#532	C₂²	1	1	yes	characteristic
161	#532	C₂²	1	2	yes	—
162	C₂×C₄⋊Q₈	C₂²	1	2	yes	complemented
163	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
164	#529	C₂²	1	2	yes	—
165	#529	C₂²	1	2	yes	—
166	#529	C₂²	1	2	yes	—
167	#529	C₂²	1	4	yes	—
168	#529	C₂²	1	4	yes	complemented
169	#529	C₂²	1	8	yes	complemented
170	#529	C₂²	1	4	yes	complemented
171	#529	C₂²	1	2	yes	complemented
172	#529	C₂²	1	4	yes	complemented
173	#529	C₂²	1	8	yes	complemented
174	#529	C₂²	1	4	yes	complemented
175	C₂×#126	C₂²	1	8	yes	complemented
176	C₂×#124	C₂²	1	4	yes	—
177	#525	C₂²	1	4	yes	—
178	#525	C₂²	1	4	yes	complemented
179	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
180	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
181	#520	C₂²	1	2	yes	—
182	#520	C₂²	1	2	yes	complemented
183	#520	C₂²	1	4	yes	complemented
184	#519	C₂²	1	4	yes	complemented
185	#519	C₂²	1	2	yes	complemented
186	#518	C₂²	1	4	yes	—
187	C₄×#41	C₂²	1	4	yes	—
188	C₄×#41	C₂²	1	2	yes	—
189	C₄×#41	C₂²	1	1	yes	characteristic
190	C₄×#41	C₂²	1	1	yes	characteristic
191	C₄×#41	C₂²	1	2	yes	complemented
192	C₄×#41	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₄×Q₈	C₂²	1	4	yes	complemented
194	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
195	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
196	C₂×C₄×D₄	C₂²	1	2	yes	—
197	C₂×C₄×D₄	C₂²	1	2	yes	—
198	C₂×#117	C₂²	1	4	yes	complemented
199	C₂×#41	C₂³	1	2	yes	—
200	C₂×#41	C₂³	1	1	yes	characteristic
201	C₂×#41	C₂³	1	1	yes	characteristic
202	C₂×#41	C₂³	1	2	yes	—
203	C₂×#41	C₂³	1	1	yes	characteristic
204	C₂×#41	C₂³	1	2	yes	—
205	C₂×#41	C₂³	1	4	yes	—
206	C₂²×Q₈	C₂³	1	2	yes	—
207	C₂²×Q₈	C₂³	1	4	yes	—
208	C₂²×Q₈	C₂³	1	2	yes	—
209	C₂²×Q₈	C₂³	1	4	yes	—
210	C₂²×Q₈	C₂³	1	2	yes	—
211	C₂²×D₄	C₂³	1	2	yes	—
212	C₂²×D₄	C₂³	1	2	yes	—
213	C₂³×C₄	C₂³	1	4	yes	—
214	C₄⋊Q₈	C₂³	1	2	yes	—
215	C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₄⋊Q₈	C₂³	1	2	yes	—
217	C₄⋊Q₈	C₂³	1	2	yes	—
218	C₄⋊Q₈	C₂³	1	4	yes	—
219	C₄⋊Q₈	C₂³	1	2	yes	—
220	C₄⋊Q₈	C₂³	1	4	yes	—
221	C₄⋊Q₈	C₂³	1	4	yes	—
222	C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₄⋊Q₈	C₂³	1	4	yes	—
227	C₄⋊Q₈	C₂³	1	8	yes	—
228	C₄⋊Q₈	C₂³	1	2	yes	—
229	C₄⋊Q₈	C₂³	1	2	yes	—
230	C₄⋊Q₈	C₂³	1	4	yes	—
231	C₄⋊Q₈	C₂³	1	4	yes	—
232	C₄⋊Q₈	C₂³	1	4	yes	—
233	C₄⋊Q₈	C₂³	1	8	yes	—
234	C₄⋊Q₈	C₂³	1	2	yes	—
235	C₄⋊Q₈	C₂³	1	2	yes	—
236	C₄⋊Q₈	C₂³	1	8	yes	—
237	C₄⋊Q₈	C₂³	1	8	yes	—
238	#127	C₂³	1	1	yes	characteristic
239	#126	C₂³	1	4	yes	—
240	#126	C₂³	1	8	yes	—
241	#126	C₂³	1	8	yes	—
242	#126	C₂³	1	8	yes	—
243	#126	C₂³	1	8	yes	—
244	#126	C₂³	1	8	yes	—
245	#126	C₂³	1	8	yes	—
246	#126	C₂³	1	8	yes	—
247	#126	C₂³	1	8	yes	—
248	#126	C₂³	1	4	yes	—
249	#126	C₂³	1	4	yes	—
250	#126	C₂³	1	4	yes	—
251	#126	C₂³	1	4	yes	—
252	#126	C₂³	1	4	yes	—
253	#126	C₂³	1	8	yes	—
254	#126	C₂³	1	8	yes	—
255	#126	C₂³	1	8	yes	—
256	#126	C₂³	1	4	yes	—
257	#126	C₂³	1	4	yes	—
258	#126	C₂³	1	8	yes	—
259	#126	C₂³	1	8	yes	—
260	#126	C₂³	1	8	yes	—
261	#126	C₂³	1	8	yes	—
262	#125	C₂³	1	2	yes	—
263	#125	C₂³	1	2	yes	—
264	#125	C₂³	1	2	yes	—
265	#125	C₂³	1	4	yes	—
266	#125	C₂³	1	8	yes	—
267	#125	C₂³	1	4	yes	—
268	#125	C₂³	1	8	yes	—
269	#125	C₂³	1	4	yes	—
270	#125	C₂³	1	2	yes	—
271	#125	C₂³	1	4	yes	—
272	#125	C₂³	1	4	yes	—
273	#125	C₂³	1	8	yes	—
274	#125	C₂³	1	8	yes	—
275	#125	C₂³	1	4	yes	—
276	#125	C₂³	1	4	yes	—
277	#125	C₂³	1	2	yes	—
278	#125	C₂³	1	8	yes	—
279	#125	C₂³	1	4	yes	—
280	#125	C₂³	1	4	yes	—
281	#125	C₂³	1	2	yes	—
282	#125	C₂³	1	8	yes	—
283	#125	C₂³	1	8	yes	—
284	#125	C₂³	1	8	yes	—
285	#125	C₂³	1	8	yes	—
286	#124	C₂³	1	2	yes	—
287	#124	C₂³	1	4	yes	—
288	#124	C₂³	1	4	yes	—
289	#124	C₂³	1	4	yes	—
290	#124	C₂³	1	8	yes	—
291	#124	C₂³	1	8	yes	—
292	#124	C₂³	1	2	yes	—
293	#124	C₂³	1	2	yes	—
294	#124	C₂³	1	8	yes	—
295	#124	C₂³	1	4	yes	—
296	#124	C₂³	1	4	yes	—
297	#124	C₂³	1	2	yes	—
298	#124	C₂³	1	8	yes	—
299	#124	C₂³	1	4	yes	—
300	#124	C₂³	1	2	yes	—
301	#124	C₂³	1	8	yes	—
302	#124	C₂³	1	8	yes	—
303	#123	C₂³	1	4	yes	—
304	#123	C₂³	1	4	yes	—
305	#123	C₂³	1	8	yes	—
306	#123	C₂³	1	8	yes	—
307	#123	C₂³	1	4	yes	—
308	#123	C₂³	1	4	yes	—
309	#123	C₂³	1	4	yes	—
310	#123	C₂³	1	4	yes	—
311	#123	C₂³	1	4	yes	—
312	#123	C₂³	1	8	yes	—
313	#123	C₂³	1	8	yes	—
314	#123	C₂³	1	4	yes	—
315	#123	C₂³	1	4	yes	—
316	#123	C₂³	1	4	yes	—
317	#123	C₂³	1	8	yes	—
318	#123	C₂³	1	8	yes	—
319	#123	C₂³	1	8	yes	—
320	#123	C₂³	1	8	yes	—
321	#123	C₂³	1	8	yes	—
322	C₂²⋊Q₈	C₂³	1	2	yes	—
323	C₂²⋊Q₈	C₂³	1	2	yes	—
324	C₂²⋊Q₈	C₂³	1	2	yes	—
325	C₂²⋊Q₈	C₂³	1	4	yes	—
326	C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₂²⋊Q₈	C₂³	1	4	yes	—
329	C₂²⋊Q₈	C₂³	1	4	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	4	yes	—
334	C₂²⋊Q₈	C₂³	1	4	yes	—
335	C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₂²⋊Q₈	C₂³	1	2	yes	—
338	C₂²⋊Q₈	C₂³	1	2	yes	—
339	C₂²⋊Q₈	C₂³	1	2	yes	—
340	C₂²⋊Q₈	C₂³	1	2	yes	—
341	C₂²⋊Q₈	C₂³	1	2	yes	—
342	C₂²⋊Q₈	C₂³	1	4	yes	—
343	C₂²⋊Q₈	C₂³	1	4	yes	—
344	C₂²⋊Q₈	C₂³	1	8	yes	—
345	C₂²⋊Q₈	C₂³	1	4	yes	—
346	C₂²⋊Q₈	C₂³	1	4	yes	—
347	C₂²⋊Q₈	C₂³	1	2	yes	—
348	C₂²⋊Q₈	C₂³	1	2	yes	—
349	C₂²⋊Q₈	C₂³	1	4	yes	—
350	C₂²⋊Q₈	C₂³	1	8	yes	—
351	C₂²⋊Q₈	C₂³	1	8	yes	—
352	C₂²⋊Q₈	C₂³	1	4	yes	—
353	C₂²⋊Q₈	C₂³	1	8	yes	—
354	C₂²⋊Q₈	C₂³	1	8	yes	—
355	C₂²⋊Q₈	C₂³	1	4	yes	—
356	C₂²⋊Q₈	C₂³	1	4	yes	—
357	C₂²⋊Q₈	C₂³	1	2	yes	—
358	C₂²⋊Q₈	C₂³	1	2	yes	—
359	C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₂²⋊Q₈	C₂³	1	4	yes	—
361	C₂²⋊Q₈	C₂³	1	8	yes	—
362	C₂²⋊Q₈	C₂³	1	8	yes	—
363	C₂²⋊Q₈	C₂³	1	8	yes	—
364	C₂²⋊Q₈	C₂³	1	8	yes	—
365	C₂²⋊Q₈	C₂³	1	8	yes	—
366	C₂²⋊Q₈	C₂³	1	8	yes	—
367	C₂²⋊Q₈	C₂³	1	8	yes	—
368	C₂²⋊Q₈	C₂³	1	8	yes	—
369	#121	C₂³	1	4	yes	—
370	#121	C₂³	1	4	yes	—
371	#121	C₂³	1	2	yes	—
372	#121	C₂³	1	4	yes	—
373	#121	C₂³	1	2	yes	—
374	#121	C₂³	1	2	yes	—
375	#121	C₂³	1	2	yes	—
376	#121	C₂³	1	4	yes	—
377	#121	C₂³	1	8	yes	—
378	#121	C₂³	1	4	yes	—
379	#121	C₂³	1	4	yes	—
380	#121	C₂³	1	4	yes	—
381	#121	C₂³	1	2	yes	—
382	#121	C₂³	1	2	yes	—
383	#121	C₂³	1	8	yes	—
384	#121	C₂³	1	8	yes	—
385	#120	C₂³	1	4	yes	—
386	#120	C₂³	1	4	yes	—
387	#120	C₂³	1	8	yes	—
388	C₄×Q₈	C₂³	1	2	yes	—
389	C₄×Q₈	C₂³	1	1	yes	characteristic
390	C₄×Q₈	C₂³	1	1	yes	characteristic
391	C₄×Q₈	C₂³	1	2	yes	—
392	C₄×Q₈	C₂³	1	4	yes	—
393	C₄×Q₈	C₂³	1	2	yes	—
394	C₄×Q₈	C₂³	1	2	yes	—
395	C₄×Q₈	C₂³	1	4	yes	—
396	C₄×Q₈	C₂³	1	4	yes	—
397	C₄×Q₈	C₂³	1	2	yes	—
398	C₄×Q₈	C₂³	1	4	yes	—
399	C₄×Q₈	C₂³	1	4	yes	—
400	C₄×Q₈	C₂³	1	8	yes	—
401	C₄×Q₈	C₂³	1	2	yes	—
402	C₄×Q₈	C₂³	1	4	yes	—
403	C₄×Q₈	C₂³	1	4	yes	—
404	C₄×Q₈	C₂³	1	8	yes	—
405	C₄×Q₈	C₂³	1	1	yes	characteristic
406	C₄×Q₈	C₂³	1	1	yes	characteristic
407	C₄×Q₈	C₂³	1	4	yes	—
408	C₄×Q₈	C₂³	1	1	yes	characteristic
409	C₄×Q₈	C₂³	1	2	yes	—
410	C₄×Q₈	C₂³	1	4	yes	—
411	C₄×Q₈	C₂³	1	2	yes	—
412	C₄×Q₈	C₂³	1	2	yes	—
413	C₄×Q₈	C₂³	1	1	yes	characteristic
414	C₄×Q₈	C₂³	1	2	yes	—
415	C₄×Q₈	C₂³	1	4	yes	—
416	C₄×Q₈	C₂³	1	4	yes	—
417	C₄×Q₈	C₂³	1	8	yes	—
418	C₄×Q₈	C₂³	1	8	yes	—
419	C₄×Q₈	C₂³	1	4	yes	—
420	C₄×Q₈	C₂³	1	4	yes	—
421	C₄×Q₈	C₂³	1	4	yes	—
422	C₄×Q₈	C₂³	1	4	yes	—
423	C₄×Q₈	C₂³	1	4	yes	—
424	C₄×Q₈	C₂³	1	4	yes	—
425	C₄×D₄	C₂³	1	1	yes	characteristic
426	C₄×D₄	C₂³	1	1	yes	characteristic
427	C₄×D₄	C₂³	1	2	yes	—
428	C₄×D₄	C₂³	1	2	yes	—
429	C₄×D₄	C₂³	1	4	yes	—
430	C₄×D₄	C₂³	1	4	yes	—
431	C₄×D₄	C₂³	1	2	yes	—
432	C₄×D₄	C₂³	1	2	yes	—
433	C₄×D₄	C₂³	1	4	yes	—
434	C₄×D₄	C₂³	1	2	yes	—
435	C₄×D₄	C₂³	1	4	yes	—
436	C₄×D₄	C₂³	1	2	yes	—
437	C₄×D₄	C₂³	1	1	yes	characteristic
438	C₄×D₄	C₂³	1	2	yes	—
439	C₄×D₄	C₂³	1	4	yes	—
440	C₄×D₄	C₂³	1	2	yes	—
441	C₄×D₄	C₂³	1	2	yes	—
442	C₄×D₄	C₂³	1	8	yes	—
443	C₄×D₄	C₂³	1	1	yes	characteristic
444	C₄×D₄	C₂³	1	4	yes	—
445	C₄×D₄	C₂³	1	2	yes	—
446	C₄×D₄	C₂³	1	2	yes	—
447	C₄×D₄	C₂³	1	4	yes	—
448	C₄×D₄	C₂³	1	8	yes	—
449	C₄×D₄	C₂³	1	1	yes	characteristic
450	C₄×D₄	C₂³	1	4	yes	—
451	C₄×D₄	C₂³	1	1	yes	characteristic
452	C₄×D₄	C₂³	1	2	yes	—
453	C₄×D₄	C₂³	1	2	yes	—
454	C₄×D₄	C₂³	1	2	yes	—
455	C₄×D₄	C₂³	1	4	yes	—
456	C₄×D₄	C₂³	1	8	yes	—
457	C₄×D₄	C₂³	1	8	yes	—
458	C₄×D₄	C₂³	1	4	yes	—
459	C₄×D₄	C₂³	1	4	yes	—
460	C₄×D₄	C₂³	1	8	yes	—
461	C₄×D₄	C₂³	1	8	yes	—
462	C₄×D₄	C₂³	1	4	yes	—
463	C₄×D₄	C₂³	1	8	yes	—
464	C₄×D₄	C₂³	1	8	yes	—
465	C₄×D₄	C₂³	1	4	yes	—
466	#117	C₂³	1	2	yes	—
467	#117	C₂³	1	4	yes	—
468	#117	C₂³	1	4	yes	—
469	#117	C₂³	1	8	yes	—
470	#117	C₂³	1	4	yes	—
471	#117	C₂³	1	8	yes	—
472	#117	C₂³	1	1	yes	characteristic
473	#117	C₂³	1	4	yes	—
474	#117	C₂³	1	8	yes	—
475	#117	C₂³	1	4	yes	—
476	#117	C₂³	1	2	yes	—
477	#117	C₂³	1	2	yes	—
478	#117	C₂³	1	2	yes	—
479	#117	C₂³	1	1	yes	characteristic
480	#117	C₂³	1	1	yes	characteristic
481	#117	C₂³	1	4	yes	—
482	#117	C₂³	1	2	yes	—
483	#117	C₂³	1	4	yes	—
484	#117	C₂³	1	4	yes	—
485	#117	C₂³	1	4	yes	—
486	#117	C₂³	1	8	yes	—
487	#117	C₂³	1	2	yes	—
488	#117	C₂³	1	8	yes	—
489	#117	C₂³	1	8	yes	—
490	#117	C₂³	1	2	yes	—
491	#117	C₂³	1	4	yes	—
492	#117	C₂³	1	4	yes	—
493	#117	C₂³	1	8	yes	—
494	C₂×C₄⋊C₄	C₂³	1	2	yes	—
495	C₂×C₄⋊C₄	C₂³	1	4	yes	—
496	C₂×C₄⋊C₄	C₂³	1	2	yes	—
497	C₂×C₄⋊C₄	C₂³	1	2	yes	—
498	C₂×C₄⋊C₄	C₂³	1	2	yes	—
499	C₂×C₄⋊C₄	C₂³	1	8	yes	—
500	C₂×C₄⋊C₄	C₂³	1	4	yes	—
501	C₂×C₄⋊C₄	C₂³	1	4	yes	—
502	C₂×C₄⋊C₄	C₂³	1	4	yes	—
503	C₂×C₄⋊C₄	C₂³	1	2	yes	—
504	C₂×C₄⋊C₄	C₂³	1	8	yes	—
505	C₂×C₄⋊C₄	C₂³	1	4	yes	—
506	C₂×C₄⋊C₄	C₂³	1	2	yes	—
507	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
508	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
509	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
510	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
511	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
512	C₂×C₄²	C₂³	1	8	yes	—
513	C₂×C₄²	C₂³	1	2	yes	—
514	C₂×C₄²	C₂³	1	2	yes	—
515	C₂×C₄²	C₂³	1	4	yes	—
516	C₂×C₄²	C₂³	1	2	yes	—
517	C₂×C₄²	C₂³	1	4	yes	—
518	C₂×C₄²	C₂³	1	1	yes	characteristic
519	C₂⁴	C₂⁴	1	4	yes	—
520	#41	—	2	8	no	—
521	#41	—	2	4	no	—
522	#41	—	4	4	no	—
523	#41	—	4	4	no	—
524	#41	—	4	2	no	—
525	#41	—	4	8	no	—
526	#41	—	4	2	no	—
527	C₂×Q₈	—	4	4	no	—
528	C₂×Q₈	—	4	8	no	—
529	C₂×Q₈	—	4	8	no	—
530	C₂×Q₈	—	4	4	no	—
531	C₂×Q₈	—	4	4	no	—
532	C₂×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×Q₈	C₂⁴	1	2	yes	—
534	C₂×Q₈	C₂⁴	1	2	yes	—
535	C₂×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈	C₂⁴	1	2	yes	—
537	C₂×Q₈	C₂⁴	1	2	yes	—
538	C₂×Q₈	C₂⁴	1	1	yes	characteristic
539	C₂×Q₈	C₂⁴	1	4	yes	—
540	C₂×Q₈	C₂⁴	1	4	yes	—
541	C₂×Q₈	C₂⁴	1	4	yes	—
542	C₂×Q₈	C₂⁴	1	4	yes	—
543	C₂×Q₈	C₂⁴	1	8	yes	—
544	C₂×Q₈	C₂⁴	1	2	yes	—
545	C₂×Q₈	C₂⁴	1	8	yes	—
546	C₂×D₄	—	2	8	no	—
547	C₂×D₄	—	4	4	no	—
548	C₂×D₄	C₂⁴	1	2	yes	—
549	C₂×D₄	C₂⁴	1	4	yes	—
550	C₂×D₄	C₂⁴	1	4	yes	—
551	C₂×D₄	C₂⁴	1	2	yes	—
552	C₂×D₄	C₂⁴	1	1	yes	characteristic
553	C₂×D₄	C₂⁴	1	1	yes	characteristic
554	C₂×D₄	C₂⁴	1	2	yes	—
555	C₂×D₄	C₂⁴	1	2	yes	—
556	C₂×D₄	C₂⁴	1	4	yes	—
557	C₂×D₄	C₂⁴	1	2	yes	—
558	C₂×D₄	C₂⁴	1	8	yes	—
559	C₂×D₄	C₂⁴	1	4	yes	—
560	C₂×D₄	C₂⁴	1	4	yes	—
561	C₂×D₄	C₂⁴	1	2	yes	—
562	C₂×D₄	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄	—	4	8	no	—
564	C₂²×C₄	C₂⁴	1	4	yes	—
565	C₂²×C₄	C₂⁴	1	2	yes	—
566	C₂²×C₄	C₂⁴	1	2	yes	—
567	C₂²×C₄	C₂⁴	1	2	yes	—
568	C₂²×C₄	C₂⁴	1	2	yes	—
569	C₂²×C₄	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄	C₂⁴	1	2	yes	—
572	C₂²×C₄	C₂⁴	1	2	yes	—
573	C₂²×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄	C₂⁴	1	2	yes	—
575	C₂²×C₄	C₂⁴	1	4	yes	—
576	C₂²×C₄	C₂⁴	1	4	yes	—
577	C₂²×C₄	C₂⁴	1	8	yes	—
578	C₂²×C₄	C₂⁴	1	4	yes	—
579	C₂²×C₄	C₂⁴	1	2	yes	—
580	C₂²×C₄	C₂⁴	1	4	yes	—
581	C₂²×C₄	C₂⁴	1	2	yes	—
582	C₂²×C₄	C₂⁴	1	4	yes	—
583	C₂²×C₄	C₂⁴	1	8	yes	—
584	C₂²×C₄	C₂⁴	1	8	yes	—
585	C₂²×C₄	C₂⁴	1	4	yes	—
586	C₂²×C₄	C₂⁴	1	4	yes	—
587	C₂²×C₄	C₂⁴	1	4	yes	—
588	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
594	C₄⋊C₄	C₂⁴	1	2	yes	—
595	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₄⋊C₄	C₂⁴	1	8	yes	—
597	C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₄⋊C₄	C₂⁴	1	2	yes	—
599	C₄⋊C₄	C₂⁴	1	4	yes	—
600	C₄⋊C₄	C₂⁴	1	2	yes	—
601	C₄⋊C₄	C₂⁴	1	4	yes	—
602	C₄⋊C₄	C₂⁴	1	2	yes	—
603	C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₄⋊C₄	C₂⁴	1	2	yes	—
605	C₄⋊C₄	C₂⁴	1	4	yes	—
606	C₄⋊C₄	C₂⁴	1	4	yes	—
607	C₄⋊C₄	C₂⁴	1	8	yes	—
608	C₄⋊C₄	C₂⁴	1	2	yes	—
609	C₄⋊C₄	C₂⁴	1	2	yes	—
610	C₄⋊C₄	C₂⁴	1	4	yes	—
611	C₄⋊C₄	C₂⁴	1	4	yes	—
612	C₄⋊C₄	C₂⁴	1	4	yes	—
613	C₄⋊C₄	C₂⁴	1	8	yes	—
614	C₄⋊C₄	C₂⁴	1	8	yes	—
615	C₄⋊C₄	C₂⁴	1	8	yes	—
616	C₄⋊C₄	C₂⁴	1	8	yes	—
617	C₄⋊C₄	C₂⁴	1	4	yes	—
618	C₄⋊C₄	C₂⁴	1	4	yes	—
619	C₄⋊C₄	C₂⁴	1	8	yes	—
620	C₄⋊C₄	C₂⁴	1	4	yes	—
621	C₄⋊C₄	C₂⁴	1	4	yes	—
622	C₄⋊C₄	C₂⁴	1	2	yes	—
623	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₄⋊C₄	C₂⁴	1	2	yes	—
626	C₄⋊C₄	C₂⁴	1	4	yes	—
627	C₄⋊C₄	C₂⁴	1	4	yes	—
628	C₄⋊C₄	C₂⁴	1	4	yes	—
629	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄	C₂⁴	1	2	yes	—
631	C₄⋊C₄	C₂⁴	1	4	yes	—
632	C₄⋊C₄	C₂⁴	1	2	yes	—
633	C₄⋊C₄	C₂⁴	1	2	yes	—
634	C₄⋊C₄	C₂⁴	1	4	yes	—
635	C₄⋊C₄	C₂⁴	1	4	yes	—
636	C₄⋊C₄	C₂⁴	1	8	yes	—
637	C₄⋊C₄	C₂⁴	1	8	yes	—
638	C₄⋊C₄	C₂⁴	1	2	yes	—
639	C₄⋊C₄	C₂⁴	1	4	yes	—
640	C₄⋊C₄	C₂⁴	1	8	yes	—
641	C₄⋊C₄	C₂⁴	1	4	yes	—
642	C₄⋊C₄	C₂⁴	1	8	yes	—
643	C₄⋊C₄	C₂⁴	1	2	yes	—
644	C₄⋊C₄	C₂⁴	1	8	yes	—
645	C₄⋊C₄	C₂⁴	1	2	yes	—
646	C₂²⋊C₄	C₂⁴	1	4	yes	—
647	C₂²⋊C₄	C₂⁴	1	2	yes	—
648	C₂²⋊C₄	C₂⁴	1	4	yes	—
649	C₂²⋊C₄	C₂⁴	1	2	yes	—
650	C₂²⋊C₄	C₂⁴	1	4	yes	—
651	C₂²⋊C₄	C₂⁴	1	4	yes	—
652	C₂²⋊C₄	C₂⁴	1	8	yes	—
653	C₂²⋊C₄	C₂⁴	1	8	yes	—
654	C₂²⋊C₄	C₂⁴	1	4	yes	—
655	C₂²⋊C₄	C₂⁴	1	8	yes	—
656	C₂²⋊C₄	C₂⁴	1	4	yes	—
657	C₂²⋊C₄	C₂⁴	1	8	yes	—
658	C₂²⋊C₄	C₂⁴	1	8	yes	—
659	C₂²⋊C₄	C₂⁴	1	4	yes	—
660	C₂²⋊C₄	C₂⁴	1	8	yes	—
661	C₂²⋊C₄	C₂⁴	1	4	yes	—
662	C₂²⋊C₄	C₂⁴	1	4	yes	—
663	C₂²⋊C₄	C₂⁴	1	4	yes	—
664	C₂²⋊C₄	C₂⁴	1	8	yes	—
665	C₂²⋊C₄	C₂⁴	1	2	yes	—
666	C₂²⋊C₄	C₂⁴	1	2	yes	—
667	C₂²⋊C₄	C₂⁴	1	2	yes	—
668	C₂²⋊C₄	C₂⁴	1	4	yes	—
669	C₂²⋊C₄	C₂⁴	1	4	yes	—
670	C₂²⋊C₄	C₂⁴	1	4	yes	—
671	C₂²⋊C₄	C₂⁴	1	2	yes	—
672	C₂²⋊C₄	C₂⁴	1	2	yes	—
673	C₂²⋊C₄	C₂⁴	1	8	yes	—
674	C₂²⋊C₄	C₂⁴	1	2	yes	—
675	C₂²⋊C₄	C₂⁴	1	8	yes	—
676	C₂²⋊C₄	C₂⁴	1	4	yes	—
677	C₂²⋊C₄	C₂⁴	1	4	yes	—
678	C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₂²⋊C₄	C₂⁴	1	4	yes	—
680	C₂²⋊C₄	C₂⁴	1	4	yes	—
681	C₂²⋊C₄	C₂⁴	1	2	yes	—
682	C₄²	C₂⁴	1	4	yes	—
683	C₄²	C₂⁴	1	1	yes	characteristic
684	C₄²	C₂⁴	1	1	yes	characteristic
685	C₄²	C₂⁴	1	2	yes	—
686	C₄²	C₂⁴	1	1	yes	characteristic
687	C₄²	C₂⁴	1	2	yes	—
688	C₄²	C₂⁴	1	1	yes	characteristic
689	C₄²	C₂⁴	1	2	yes	—
690	C₄²	C₂⁴	1	8	yes	—
691	C₄²	C₂⁴	1	2	yes	—
692	C₄²	C₂⁴	1	8	yes	—
693	C₄²	C₂⁴	1	4	yes	—
694	C₄²	C₂⁴	1	4	yes	—
695	C₄²	C₂⁴	1	2	yes	—
696	C₄²	C₂⁴	1	2	yes	—
697	C₄²	C₂⁴	1	2	yes	—
698	C₄²	C₂⁴	1	2	yes	—
699	C₄²	C₂⁴	1	4	yes	—
700	C₄²	C₂⁴	1	4	yes	—
701	C₄²	C₂⁴	1	2	yes	—
702	C₄²	C₂⁴	1	8	yes	—
703	C₄²	C₂⁴	1	4	yes	—
704	C₄²	C₂⁴	1	8	yes	—
705	C₄²	C₂⁴	1	8	yes	—
706	C₂³	—	2	8	no	—
707	C₂³	—	4	4	no	—
708	C₂³	—	4	4	no	—
709	C₂³	C₂⁵	1	2	yes	—
710	C₂³	C₂⁵	1	4	yes	—
711	C₂³	C₂⁵	1	1	yes	characteristic
712	C₂³	C₂⁵	1	2	yes	—
713	C₂³	C₂⁵	1	2	yes	—
714	Q₈	—	2	2	no	—
715	Q₈	—	2	4	no	—
716	Q₈	—	2	4	no	—
717	Q₈	—	2	4	no	—
718	Q₈	—	2	2	no	—
719	Q₈	—	2	4	no	—
720	Q₈	—	2	8	no	—
721	Q₈	—	2	2	no	—
722	Q₈	—	4	4	no	—
723	Q₈	—	4	4	no	—
724	Q₈	—	4	8	no	—
725	Q₈	—	4	4	no	—
726	Q₈	—	4	8	no	—
727	Q₈	—	4	2	no	—
728	D₄	—	2	8	no	—
729	D₄	—	2	4	no	—
730	D₄	—	2	8	no	—
731	D₄	—	2	4	no	—
732	D₄	—	2	2	no	—
733	D₄	—	2	4	no	—
734	D₄	—	2	2	no	—
735	D₄	—	4	4	no	—
736	D₄	—	4	2	no	—
737	D₄	—	4	4	no	—
738	D₄	—	4	2	no	—
739	D₄	—	4	8	no	—
740	D₄	—	4	4	no	—
741	D₄	—	4	2	no	—
742	D₄	2₋¹⁺⁴	1	4	yes	—
743	C₂×C₄	—	2	8	no	—
744	C₂×C₄	—	2	4	no	—
745	C₂×C₄	—	2	4	no	—
746	C₂×C₄	—	2	4	no	—
747	C₂×C₄	—	2	2	no	—
748	C₂×C₄	—	2	4	no	—
749	C₂×C₄	—	2	4	no	—
750	C₂×C₄	—	2	8	no	—
751	C₂×C₄	—	2	4	no	—
752	C₂×C₄	—	2	2	no	—
753	C₂×C₄	—	2	4	no	—
754	C₂×C₄	—	2	2	no	—
755	C₂×C₄	—	4	4	no	—
756	C₂×C₄	—	4	4	no	—
757	C₂×C₄	—	4	4	no	—
758	C₂×C₄	—	4	4	no	—
759	C₂×C₄	—	4	4	no	—
760	C₂×C₄	—	4	8	no	—
761	C₂×C₄	—	4	8	no	—
762	C₂×C₄	—	4	4	no	—
763	C₂×C₄	—	4	4	no	—
764	C₂×C₄	—	4	8	no	—
765	C₂×C₄	—	4	2	no	—
766	C₂×C₄	—	4	2	no	—
767	C₂×C₄	C₂⁵	1	2	yes	—
768	C₂×C₄	C₂⁵	1	2	yes	—
769	C₂×C₄	C₂⁵	1	4	yes	—
770	C₂×C₄	C₂⁵	1	2	yes	—
771	C₂×C₄	C₂⁵	1	2	yes	—
772	C₂×C₄	C₂⁵	1	2	yes	—
773	C₂×C₄	C₂⁵	1	1	yes	characteristic
774	C₂×C₄	C₂⁵	1	1	yes	characteristic
775	C₂×C₄	C₂⁵	1	4	yes	—
776	C₂×C₄	C₂⁵	1	4	yes	—
777	C₂×C₄	C₂⁵	1	4	yes	—
778	C₂×C₄	C₂⁵	1	2	yes	—
779	C₂×C₄	C₂⁵	1	2	yes	—
780	C₂×C₄	C₂⁵	1	8	yes	—
781	C₂×C₄	C₂⁵	1	4	yes	—
782	C₂×C₄	C₂⁵	1	1	yes	characteristic
783	C₂×C₄	C₂⁵	1	2	yes	—
784	C₂×C₄	C₂⁵	1	2	yes	—
785	C₂×C₄	C₂⁵	1	1	yes	characteristic
786	C₂×C₄	C₂⁵	1	1	yes	characteristic
787	C₂×C₄	C₂⁵	1	1	yes	characteristic
788	C₂²	—	2	2	no	—
789	C₂²	—	2	2	no	—
790	C₂²	—	2	1	no	—
791	C₂²	—	2	2	no	—
792	C₂²	—	2	2	no	—
793	C₂²	—	2	4	no	—
794	C₂²	—	2	1	no	—
795	C₂²	—	2	4	no	—
796	C₂²	—	2	2	no	—
797	C₂²	—	2	2	no	—
798	C₂²	—	2	1	no	—
799	C₂²	—	2	2	no	—
800	C₂²	—	2	4	no	—
801	C₂²	—	2	2	no	—
802	C₂²	—	8	8	no	—
803	C₂²	C₂×2₋¹⁺⁴	1	4	yes	—
804	C₂²	C₂⁶	1	1	yes	characteristic
805	C₄	—	2	2	no	—
806	C₄	—	2	1	no	—
807	C₄	—	2	2	no	—
808	C₄	—	2	4	no	—
809	C₄	—	2	2	no	—
810	C₄	—	2	2	no	—
811	C₄	—	2	2	no	—
812	C₄	—	2	2	no	—
813	C₄	—	2	1	no	—
814	C₄	—	2	4	no	—
815	C₄	—	2	1	no	—
816	C₄	—	2	2	no	—
817	C₄	—	2	2	no	—
818	C₄	—	2	4	no	—
819	C₄	—	2	8	no	—
820	C₄	—	2	2	no	—
821	C₄	—	2	4	no	—
822	C₄	—	2	4	no	—
823	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
824	C₄	#585	1	2	yes	—
825	C₄	#585	1	2	yes	—
826	C₂	—	2	4	no	—
827	C₂	—	4	1	no	—
828	C₂	—	4	2	no	—
829	C₂	—	4	4	no	—
830	C₂	—	4	2	no	—
831	C₂	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
832	C₂	C₂×#585	1	1	yes	characteristic
833	C₂	C₂×#585	1	1	yes	characteristic

	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. #3565	C₂	semidirect
2. #3564	C₂	semidirect
3. #3561	C₂	semidirect
4. #3555	C₂	semidirect
5. #3555	C₂	semidirect
6. #3552	C₂	semidirect
7. #3550	C₂	semidirect
8. #3541	C₂	semidirect
9. #3523	C₂	semidirect
10. #3521	C₂	semidirect
11. #3520	C₂	semidirect
12. #3518	C₂	semidirect
13. #3516	C₂	semidirect
14. #3514	C₂	semidirect
15. #3511	C₂	semidirect
16. #3509	C₂	semidirect
17. #3507	C₂	semidirect
18. #3503	C₂	semidirect
19. #3501	C₂	semidirect
20. #3495	C₂	semidirect
21. #3482	C₂	semidirect
22. #3482	C₂	semidirect
23. #3481	C₂	semidirect
24. Q₈×#41	C₂	semidirect
25. #3475	C₂	semidirect
26. C₂×#556	C₂	semidirect
27. #563	C₂²	semidirect
28. #563	C₂²	semidirect
29. #563	C₂²	semidirect
30. #563	C₂²	semidirect
31. #562	C₂²	semidirect
34. Q₈²	C₂²	semidirect
35. Q₈²	C₂²	semidirect
36. #557	C₂²	semidirect
37. #557	C₂²	semidirect
38. #557	C₂²	semidirect
39. #557	C₂²	semidirect
40. #557	C₂²	semidirect
41. #557	C₂²	semidirect
42. #557	C₂²	semidirect
47. #556	C₂²	semidirect
48. #556	C₂²	semidirect
49. #556	C₂²	semidirect
50. #556	C₂²	semidirect
51. #556	C₂²	semidirect
52. #556	C₂²	semidirect
53. #556	C₂²	semidirect
54. #556	C₂²	semidirect
55. #556	C₂²	semidirect
56. #556	C₂²	semidirect
57. #556	C₂²	semidirect
58. #556	C₂²	semidirect
59. #556	C₂²	semidirect
60. #556	C₂²	semidirect
62. #555	C₂²	semidirect
67. #554	C₂²	semidirect
68. #554	C₂²	semidirect
69. #554	C₂²	semidirect
70. #554	C₂²	semidirect
71. #554	C₂²	semidirect
72. #554	C₂²	semidirect
73. #554	C₂²	semidirect
76. #553	C₂²	semidirect
77. #553	C₂²	semidirect
78. #553	C₂²	semidirect
79. #552	C₂²	semidirect
80. #552	C₂²	semidirect
81. #552	C₂²	semidirect
82. #552	C₂²	semidirect
83. #552	C₂²	semidirect
84. #552	C₂²	semidirect
85. #552	C₂²	semidirect
86. #552	C₂²	semidirect
87. #552	C₂²	semidirect
88. #552	C₂²	semidirect
89. #552	C₂²	semidirect
90. #552	C₂²	semidirect
93. #551	C₂²	semidirect
94. #551	C₂²	semidirect
95. #551	C₂²	semidirect
98. D₄×Q₈	C₂²	semidirect
99. D₄×Q₈	C₂²	semidirect
100. D₄×Q₈	C₂²	semidirect
101. D₄×Q₈	C₂²	semidirect
102. D₄×Q₈	C₂²	semidirect
103. D₄×Q₈	C₂²	semidirect
106. #548	C₂²	semidirect
107. #548	C₂²	semidirect
108. #548	C₂²	semidirect
112. #547	C₂²	semidirect
113. #547	C₂²	semidirect
119. #544	C₂²	semidirect
120. #544	C₂²	semidirect
121. #544	C₂²	semidirect
122. #544	C₂²	semidirect
123. #543	C₂²	semidirect
126. #542	C₂²	semidirect
127. #542	C₂²	semidirect
128. #542	C₂²	semidirect
129. #542	C₂²	semidirect
130. #542	C₂²	semidirect
131. #542	C₂²	semidirect
132. #542	C₂²	semidirect
133. #541	C₂²	semidirect
134. #541	C₂²	semidirect
135. #541	C₂²	semidirect
136. #541	C₂²	semidirect
137. #541	C₂²	semidirect
138. #541	C₂²	semidirect
139. #541	C₂²	semidirect
140. #539	C₂²	semidirect
141. #539	C₂²	semidirect
142. #539	C₂²	semidirect
144. #538	C₂²	semidirect
145. #537	C₂²	semidirect
147. #536	C₂²	semidirect
148. #536	C₂²	semidirect
149. #533	C₂²	semidirect
150. #533	C₂²	semidirect
151. #533	C₂²	semidirect
152. #533	C₂²	semidirect
153. #533	C₂²	semidirect
154. #533	C₂²	semidirect
155. #533	C₂²	semidirect
156. #533	C₂²	semidirect
157. #533	C₂²	semidirect
158. #533	C₂²	semidirect
159. #533	C₂²	semidirect
162. C₂×C₄⋊Q₈	C₂²	semidirect
163. C₂×C₄⋊Q₈	C₂²	semidirect
168. #529	C₂²	semidirect
169. #529	C₂²	semidirect
170. #529	C₂²	semidirect
171. #529	C₂²	semidirect
172. #529	C₂²	semidirect
173. #529	C₂²	semidirect
174. #529	C₂²	semidirect
175. C₂×#126	C₂²	semidirect
178. #525	C₂²	semidirect
179. C₂×C₂²⋊Q₈	C₂²	semidirect
180. C₂×C₂²⋊Q₈	C₂²	semidirect
182. #520	C₂²	semidirect
183. #520	C₂²	semidirect
184. #519	C₂²	semidirect
185. #519	C₂²	semidirect
191. C₄×#41	C₂²	semidirect
192. C₄×#41	C₂²	semidirect
193. C₂×C₄×Q₈	C₂²	semidirect
194. C₂×C₄×Q₈	C₂²	semidirect
195. C₂×C₄×Q₈	C₂²	semidirect
198. C₂×#117	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
#3561	2
#3555	2
#3552	2
#3550	2
#3541	2
#3523	2
#3521	2
#3520	2
#3518	2
#3516	2
#3514	2
#3511	2
#3509	2
#3507	2
#3503	2
#3501	2
#3495	2
#3482	2
#3481	2
Q₈×#41	2
#3475	2
C₂×#556	2