Subgroups — #62878

Order 256.

3567 conjugacy classes of subgroups.

The subgroup lattice has 809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3561	C₂	1	4	yes	maximal, complemented
2	#3560	C₂	1	4	yes	maximal, complemented
3	#3558	C₂	1	4	yes	maximal, complemented
4	#3558	C₂	1	4	yes	maximal, complemented
5	#3554	C₂	1	4	yes	maximal, complemented
6	#3546	C₂	1	4	yes	maximal, complemented
7	#3542	C₂	1	4	yes	maximal, complemented
8	#3541	C₂	1	4	yes	maximal, complemented
9	#3540	C₂	1	4	yes	maximal, complemented
10	#3536	C₂	1	4	yes	maximal, complemented
11	#3536	C₂	1	4	yes	maximal, complemented
12	#3534	C₂	1	4	yes	maximal, complemented
13	#3511	C₂	1	2	yes	maximal, complemented
14	#3507	C₂	1	1	yes	maximal, characteristic, complemented
15	#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	#3500	C₂	1	2	yes	maximal, complemented
17	#3497	C₂	1	1	yes	maximal, characteristic, complemented
18	#3496	C₂	1	1	yes	maximal, characteristic, complemented
19	#3489	C₂	1	2	yes	maximal, complemented
20	#3488	C₂	1	2	yes	maximal, complemented
21	#3455	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#542	C₂	1	1	yes	maximal, characteristic, complemented
23	#3449	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×2₋¹⁺⁴	C₂²	1	2	yes	complemented
25	C₂×H(5,𝔽₂)	C₂²	1	2	yes	complemented
26	C₂²×#41	C₂²	1	2	yes	complemented
27	#563	C₂²	1	8	yes	complemented
28	#562	C₂²	1	8	yes	complemented
29	#562	C₂²	1	8	yes	complemented
30	#562	C₂²	1	8	yes	complemented
31	#562	C₂²	1	8	yes	complemented
32	H(3,𝔽₄)	C₂²	1	8	yes	complemented
33	#560	C₂²	1	8	yes	complemented
34	#560	C₂²	1	8	yes	complemented
35	#559	C₂²	1	4	yes	complemented
36	#559	C₂²	1	2	yes	complemented
37	#559	C₂²	1	8	yes	complemented
38	#557	C₂²	1	2	yes	complemented
39	#556	C₂²	1	2	yes	complemented
40	#556	C₂²	1	2	yes	complemented
41	#556	C₂²	1	4	yes	complemented
42	#556	C₂²	1	4	yes	complemented
43	#555	C₂²	1	2	yes	complemented
44	#555	C₂²	1	4	yes	complemented
45	#554	C₂²	1	2	yes	complemented
46	#554	C₂²	1	4	yes	complemented
47	#554	C₂²	1	8	yes	complemented
48	#553	C₂²	1	4	yes	complemented
49	#553	C₂²	1	8	yes	complemented
50	#553	C₂²	1	8	yes	complemented
51	#552	C₂²	1	4	yes	complemented
52	#551	C₂²	1	8	yes	complemented
53	#551	C₂²	1	8	yes	complemented
54	#550	C₂²	1	4	yes	complemented
55	#550	C₂²	1	2	yes	complemented
56	#550	C₂²	1	2	yes	complemented
57	#550	C₂²	1	2	yes	complemented
58	D₄×Q₈	C₂²	1	4	yes	complemented
59	D₄×Q₈	C₂²	1	2	yes	complemented
60	D₄×Q₈	C₂²	1	2	yes	complemented
61	#548	C₂²	1	4	yes	complemented
62	#548	C₂²	1	4	yes	complemented
63	#548	C₂²	1	4	yes	complemented
64	#548	C₂²	1	4	yes	complemented
65	#548	C₂²	1	4	yes	complemented
66	#548	C₂²	1	4	yes	complemented
67	#548	C₂²	1	8	yes	complemented
68	#547	C₂²	1	8	yes	complemented
69	#547	C₂²	1	4	yes	complemented
70	#547	C₂²	1	2	yes	complemented
71	#547	C₂²	1	2	yes	complemented
72	#547	C₂²	1	2	yes	complemented
73	#547	C₂²	1	4	yes	complemented
74	#546	C₂²	1	8	yes	complemented
75	#546	C₂²	1	4	yes	complemented
76	#546	C₂²	1	8	yes	complemented
77	#546	C₂²	1	4	yes	complemented
78	#546	C₂²	1	4	yes	complemented
79	#546	C₂²	1	4	yes	complemented
80	#546	C₂²	1	8	yes	complemented
81	#546	C₂²	1	4	yes	complemented
82	#546	C₂²	1	8	yes	complemented
83	#546	C₂²	1	4	yes	complemented
84	#546	C₂²	1	8	yes	complemented
85	#546	C₂²	1	8	yes	complemented
86	#546	C₂²	1	8	yes	complemented
87	D₄²	C₂²	1	8	yes	complemented
88	D₄²	C₂²	1	4	yes	complemented
89	D₄²	C₂²	1	2	yes	complemented
90	D₄²	C₂²	1	2	yes	complemented
91	#543	C₂²	1	8	yes	complemented
92	#542	C₂²	1	4	yes	complemented
93	#542	C₂²	1	4	yes	complemented
94	#542	C₂²	1	4	yes	complemented
95	#542	C₂²	1	4	yes	complemented
96	#542	C₂²	1	2	yes	complemented
97	#542	C₂²	1	2	yes	complemented
98	#542	C₂²	1	4	yes	complemented
99	#542	C₂²	1	4	yes	complemented
100	#542	C₂²	1	8	yes	complemented
101	#542	C₂²	1	8	yes	complemented
102	#542	C₂²	1	8	yes	complemented
103	#541	C₂²	1	2	yes	complemented
104	#540	C₂²	1	2	yes	complemented
105	#540	C₂²	1	8	yes	complemented
106	#539	C₂²	1	2	yes	complemented
107	#539	C₂²	1	2	yes	complemented
108	#539	C₂²	1	4	yes	complemented
109	#539	C₂²	1	8	yes	complemented
110	#539	C₂²	1	8	yes	complemented
111	#538	C₂²	1	2	yes	complemented
112	#538	C₂²	1	2	yes	complemented
113	#538	C₂²	1	4	yes	complemented
114	#538	C₂²	1	8	yes	complemented
115	#538	C₂²	1	8	yes	complemented
116	#538	C₂²	1	8	yes	complemented
117	#538	C₂²	1	8	yes	complemented
118	#538	C₂²	1	8	yes	complemented
119	#538	C₂²	1	8	yes	complemented
120	#537	C₂²	1	2	yes	complemented
121	#537	C₂²	1	2	yes	complemented
122	#537	C₂²	1	2	yes	complemented
123	#537	C₂²	1	4	yes	complemented
124	#537	C₂²	1	2	yes	complemented
125	#537	C₂²	1	4	yes	complemented
126	#537	C₂²	1	4	yes	complemented
127	#537	C₂²	1	8	yes	complemented
128	#536	C₂²	1	2	yes	complemented
129	#536	C₂²	1	2	yes	complemented
130	#536	C₂²	1	2	yes	complemented
131	#536	C₂²	1	4	yes	complemented
132	#536	C₂²	1	4	yes	complemented
133	#535	C₂²	1	2	yes	complemented
134	#535	C₂²	1	2	yes	complemented
135	#535	C₂²	1	2	yes	complemented
136	#535	C₂²	1	4	yes	complemented
137	#535	C₂²	1	4	yes	complemented
138	#535	C₂²	1	8	yes	complemented
139	#534	C₂²	1	2	yes	complemented
140	#534	C₂²	1	2	yes	complemented
141	#534	C₂²	1	4	yes	complemented
142	#534	C₂²	1	8	yes	complemented
143	#533	C₂²	1	1	yes	characteristic, complemented
144	#533	C₂²	1	4	yes	complemented
145	#532	C₂²	1	1	yes	characteristic
146	#532	C₂²	1	1	yes	characteristic, complemented
147	#532	C₂²	1	2	yes	complemented
148	#532	C₂²	1	1	yes	characteristic, complemented
149	#532	C₂²	1	4	yes	complemented
150	#532	C₂²	1	4	yes	complemented
151	#532	C₂²	1	4	yes	complemented
152	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
153	#529	C₂²	1	4	yes	complemented
154	#529	C₂²	1	4	yes	complemented
155	#529	C₂²	1	4	yes	complemented
156	C₂×#126	C₂²	1	2	yes	complemented
157	C₂×#124	C₂²	1	1	yes	characteristic, complemented
158	C₂×#124	C₂²	1	2	yes	complemented
159	C₂×#124	C₂²	1	4	yes	complemented
160	#525	C₂²	1	4	yes	complemented
161	#525	C₂²	1	4	yes	complemented
162	#525	C₂²	1	2	yes	complemented
163	#525	C₂²	1	4	yes	complemented
164	#525	C₂²	1	4	yes	complemented
165	#525	C₂²	1	4	yes	complemented
166	C₂×#123	C₂²	1	2	yes	complemented
167	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
169	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
170	C₂×#121	C₂²	1	1	yes	characteristic
171	C₂×#121	C₂²	1	4	yes	complemented
172	C₂×#121	C₂²	1	4	yes	complemented
173	#520	C₂²	1	2	yes	complemented
174	#520	C₂²	1	2	yes	complemented
175	C₄×#41	C₂²	1	2	yes	complemented
176	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
178	C₂×#117	C₂²	1	1	yes	characteristic, complemented
179	2₋¹⁺⁴	—	4	8	no	—
180	H(5,𝔽₂)	—	4	8	no	—
181	C₂×#41	—	4	8	no	—
182	C₂×#41	C₂³	1	2	yes	—
183	C₂×#41	C₂³	1	2	yes	—
184	C₂×#41	C₂³	1	2	yes	—
185	C₂×#41	C₂³	1	4	yes	—
186	C₂×#41	C₂³	1	4	yes	—
187	C₂×#41	C₂³	1	4	yes	—
188	C₂×#41	C₂³	1	4	yes	—
189	C₂×#41	C₂³	1	4	yes	—
190	C₂×#41	C₂³	1	8	yes	—
191	C₂×#41	C₂³	1	2	yes	—
192	C₂×#41	C₂³	1	2	yes	—
193	C₂×#41	C₂³	1	4	yes	—
194	C₂×#41	C₂³	1	4	yes	—
195	C₂×#41	C₂³	1	8	yes	—
196	C₂²×Q₈	C₂³	1	1	yes	characteristic
197	C₂²×Q₈	C₂³	1	4	yes	—
198	C₂²×Q₈	C₂³	1	4	yes	—
199	C₂²×Q₈	C₂³	1	2	yes	—
200	C₂²×Q₈	C₂³	1	2	yes	—
201	C₂²×D₄	C₂³	1	1	yes	characteristic
202	C₂²×D₄	C₂³	1	8	yes	—
203	C₂²×D₄	C₂³	1	4	yes	—
204	C₂²×D₄	C₂³	1	4	yes	—
205	C₂²×D₄	C₂³	1	4	yes	—
206	C₂²×D₄	C₂³	1	2	yes	—
207	C₂²×D₄	C₂³	1	2	yes	—
208	C₂²×D₄	C₂³	1	4	yes	—
209	C₂²×D₄	C₂³	1	8	yes	—
210	C₂³×C₄	C₂³	1	1	yes	characteristic
211	C₂³×C₄	C₂³	1	4	yes	—
212	C₂³×C₄	C₂³	1	2	yes	—
213	C₄⋊Q₈	C₂³	1	4	yes	—
214	C₄⋊Q₈	C₂³	1	4	yes	—
215	C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₄⋊Q₈	C₂³	1	2	yes	—
217	C₄⋊Q₈	C₂³	1	4	yes	—
218	C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₄⋊Q₈	C₂³	1	4	yes	—
221	C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₄⋊Q₈	C₂³	1	8	yes	—
224	#127	C₂³	1	1	yes	characteristic
225	#127	C₂³	1	2	yes	—
226	#127	C₂³	1	4	yes	—
227	#127	C₂³	1	1	yes	characteristic
228	#127	C₂³	1	4	yes	—
229	#127	C₂³	1	1	yes	characteristic
230	#127	C₂³	1	8	yes	—
231	#126	C₂³	1	8	yes	—
232	#126	C₂³	1	8	yes	—
233	#126	C₂³	1	4	yes	—
234	#126	C₂³	1	4	yes	—
235	#126	C₂³	1	4	yes	—
236	#126	C₂³	1	4	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	#125	C₂³	1	4	yes	—
243	#125	C₂³	1	4	yes	—
244	#125	C₂³	1	4	yes	—
245	#125	C₂³	1	8	yes	—
246	#125	C₂³	1	2	yes	—
247	#125	C₂³	1	8	yes	—
248	#124	C₂³	1	4	yes	—
249	#124	C₂³	1	2	yes	—
250	#124	C₂³	1	4	yes	—
251	#124	C₂³	1	4	yes	—
252	#124	C₂³	1	8	yes	—
253	#124	C₂³	1	8	yes	—
254	#124	C₂³	1	4	yes	—
255	#124	C₂³	1	8	yes	—
256	#124	C₂³	1	8	yes	—
257	#124	C₂³	1	4	yes	—
258	#124	C₂³	1	4	yes	—
259	#124	C₂³	1	4	yes	—
260	#124	C₂³	1	2	yes	—
261	#124	C₂³	1	2	yes	—
262	#124	C₂³	1	2	yes	—
263	#124	C₂³	1	8	yes	—
264	#124	C₂³	1	8	yes	—
265	#124	C₂³	1	2	yes	—
266	#124	C₂³	1	8	yes	—
267	#124	C₂³	1	8	yes	—
268	#124	C₂³	1	8	yes	—
269	#124	C₂³	1	8	yes	—
270	#124	C₂³	1	8	yes	—
271	#123	C₂³	1	8	yes	—
272	#123	C₂³	1	8	yes	—
273	#123	C₂³	1	4	yes	—
274	#123	C₂³	1	4	yes	—
275	#123	C₂³	1	4	yes	—
276	#123	C₂³	1	4	yes	—
277	#123	C₂³	1	8	yes	—
278	#123	C₂³	1	8	yes	—
279	#123	C₂³	1	8	yes	—
280	#123	C₂³	1	4	yes	—
281	#123	C₂³	1	8	yes	—
282	#123	C₂³	1	4	yes	—
283	#123	C₂³	1	4	yes	—
284	#123	C₂³	1	4	yes	—
285	#123	C₂³	1	4	yes	—
286	#123	C₂³	1	8	yes	—
287	#123	C₂³	1	8	yes	—
288	#123	C₂³	1	8	yes	—
289	#123	C₂³	1	8	yes	—
290	#123	C₂³	1	8	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	C₂²⋊Q₈	C₂³	1	4	yes	—
297	C₂²⋊Q₈	C₂³	1	2	yes	—
298	C₂²⋊Q₈	C₂³	1	4	yes	—
299	C₂²⋊Q₈	C₂³	1	4	yes	—
300	C₂²⋊Q₈	C₂³	1	8	yes	—
301	C₂²⋊Q₈	C₂³	1	8	yes	—
302	C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₂²⋊Q₈	C₂³	1	8	yes	—
305	C₂²⋊Q₈	C₂³	1	2	yes	—
306	C₂²⋊Q₈	C₂³	1	2	yes	—
307	C₂²⋊Q₈	C₂³	1	4	yes	—
308	C₂²⋊Q₈	C₂³	1	4	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	2	yes	—
315	C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₂²⋊Q₈	C₂³	1	8	yes	—
320	C₂²⋊Q₈	C₂³	1	8	yes	—
321	C₂²⋊Q₈	C₂³	1	8	yes	—
322	C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₂²⋊Q₈	C₂³	1	8	yes	—
324	C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₂²⋊Q₈	C₂³	1	8	yes	—
329	#121	C₂³	1	4	yes	—
330	#121	C₂³	1	4	yes	—
331	#121	C₂³	1	2	yes	—
332	#121	C₂³	1	2	yes	—
333	#121	C₂³	1	2	yes	—
334	#121	C₂³	1	8	yes	—
335	#121	C₂³	1	4	yes	—
336	#121	C₂³	1	4	yes	—
337	#121	C₂³	1	8	yes	—
338	#121	C₂³	1	8	yes	—
339	#121	C₂³	1	4	yes	—
340	#121	C₂³	1	8	yes	—
341	#121	C₂³	1	4	yes	—
342	#121	C₂³	1	2	yes	—
343	#121	C₂³	1	2	yes	—
344	#121	C₂³	1	4	yes	—
345	#121	C₂³	1	4	yes	—
346	#121	C₂³	1	4	yes	—
347	#121	C₂³	1	4	yes	—
348	#121	C₂³	1	4	yes	—
349	#121	C₂³	1	4	yes	—
350	#121	C₂³	1	4	yes	—
351	#121	C₂³	1	2	yes	—
352	#121	C₂³	1	4	yes	—
353	#121	C₂³	1	4	yes	—
354	#121	C₂³	1	2	yes	—
355	#121	C₂³	1	2	yes	—
356	#121	C₂³	1	4	yes	—
357	#121	C₂³	1	4	yes	—
358	#121	C₂³	1	8	yes	—
359	#121	C₂³	1	8	yes	—
360	#121	C₂³	1	8	yes	—
361	#121	C₂³	1	4	yes	—
362	#121	C₂³	1	4	yes	—
363	#121	C₂³	1	8	yes	—
364	#121	C₂³	1	8	yes	—
365	#121	C₂³	1	8	yes	—
366	#121	C₂³	1	8	yes	—
367	#121	C₂³	1	8	yes	—
368	#121	C₂³	1	8	yes	—
369	#121	C₂³	1	8	yes	—
370	#121	C₂³	1	8	yes	—
371	#121	C₂³	1	8	yes	—
372	#121	C₂³	1	8	yes	—
373	#121	C₂³	1	8	yes	—
374	#121	C₂³	1	8	yes	—
375	#120	C₂³	1	4	yes	—
376	#120	C₂³	1	4	yes	—
377	#120	C₂³	1	4	yes	—
378	#120	C₂³	1	8	yes	—
379	#120	C₂³	1	4	yes	—
380	#120	C₂³	1	8	yes	—
381	#120	C₂³	1	4	yes	—
382	#120	C₂³	1	8	yes	—
383	#120	C₂³	1	8	yes	—
384	#120	C₂³	1	8	yes	—
385	#120	C₂³	1	8	yes	—
386	#120	C₂³	1	8	yes	—
387	#120	C₂³	1	8	yes	—
388	#120	C₂³	1	8	yes	—
389	C₄×Q₈	C₂³	1	2	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	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	2	yes	—
399	C₄×Q₈	C₂³	1	4	yes	—
400	C₄×Q₈	C₂³	1	8	yes	—
401	C₄×D₄	C₂³	1	2	yes	—
402	C₄×D₄	C₂³	1	2	yes	—
403	C₄×D₄	C₂³	1	2	yes	—
404	C₄×D₄	C₂³	1	2	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	2	yes	—
414	C₄×D₄	C₂³	1	2	yes	—
415	C₄×D₄	C₂³	1	4	yes	—
416	C₄×D₄	C₂³	1	4	yes	—
417	C₄×D₄	C₂³	1	2	yes	—
418	C₄×D₄	C₂³	1	2	yes	—
419	C₄×D₄	C₂³	1	4	yes	—
420	C₄×D₄	C₂³	1	4	yes	—
421	C₄×D₄	C₂³	1	8	yes	—
422	C₄×D₄	C₂³	1	8	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	2	yes	—
427	C₄×D₄	C₂³	1	2	yes	—
428	C₄×D₄	C₂³	1	4	yes	—
429	C₄×D₄	C₂³	1	8	yes	—
430	C₄×D₄	C₂³	1	8	yes	—
431	C₄×D₄	C₂³	1	4	yes	—
432	C₄×D₄	C₂³	1	4	yes	—
433	C₄×D₄	C₂³	1	8	yes	—
434	C₄×D₄	C₂³	1	8	yes	—
435	#117	C₂³	1	2	yes	—
436	#117	C₂³	1	2	yes	—
437	#117	C₂³	1	2	yes	—
438	#117	C₂³	1	2	yes	—
439	#117	C₂³	1	2	yes	—
440	#117	C₂³	1	4	yes	—
441	#117	C₂³	1	4	yes	—
442	#117	C₂³	1	4	yes	—
443	#117	C₂³	1	4	yes	—
444	#117	C₂³	1	8	yes	—
445	#117	C₂³	1	8	yes	—
446	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
450	C₂×C₄⋊C₄	C₂³	1	2	yes	—
451	C₂×C₄⋊C₄	C₂³	1	4	yes	—
452	C₂×C₄⋊C₄	C₂³	1	4	yes	—
453	C₂×C₄⋊C₄	C₂³	1	4	yes	—
454	C₂×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂×C₄⋊C₄	C₂³	1	8	yes	—
456	C₂×C₄⋊C₄	C₂³	1	2	yes	—
457	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
458	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
459	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
460	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
461	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
462	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
463	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
464	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
465	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
466	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
467	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
468	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
469	C₂×C₄²	C₂³	1	1	yes	characteristic
470	C₂×C₄²	C₂³	1	1	yes	characteristic
471	C₂×C₄²	C₂³	1	2	yes	—
472	C₂×C₄²	C₂³	1	4	yes	—
473	C₂⁴	C₂⁴	1	1	yes	characteristic
474	C₂⁴	C₂⁴	1	2	yes	—
475	C₂⁴	C₂⁴	1	8	yes	—
476	C₂⁴	C₂⁴	1	4	yes	—
477	#41	—	2	8	no	—
478	#41	—	2	8	no	—
479	#41	—	2	8	no	—
480	#41	—	4	8	no	—
481	#41	—	4	8	no	—
482	#41	—	4	16	no	—
483	#41	—	4	4	no	—
484	#41	—	4	4	no	—
485	#41	—	4	8	no	—
486	#41	—	4	8	no	—
487	#41	—	4	8	no	—
488	#41	—	4	8	no	—
489	#41	—	8	4	no	—
490	#41	—	8	8	no	—
491	C₂×Q₈	—	2	4	no	—
492	C₂×Q₈	—	4	4	no	—
493	C₂×Q₈	—	4	8	no	—
494	C₂×Q₈	—	4	8	no	—
495	C₂×Q₈	—	8	2	no	—
496	C₂×Q₈	C₂⁴	1	2	yes	—
497	C₂×Q₈	C₂⁴	1	2	yes	—
498	C₂×Q₈	C₂⁴	1	2	yes	—
499	C₂×Q₈	C₂⁴	1	2	yes	—
500	C₂×Q₈	C₂⁴	1	2	yes	—
501	C₂×Q₈	C₂⁴	1	2	yes	—
502	C₂×Q₈	C₂⁴	1	2	yes	—
503	C₂×Q₈	C₂⁴	1	8	yes	—
504	C₂×Q₈	C₂⁴	1	4	yes	—
505	C₂×Q₈	C₂⁴	1	8	yes	—
506	C₂×D₄	—	2	4	no	—
507	C₂×D₄	—	4	4	no	—
508	C₂×D₄	—	4	8	no	—
509	C₂×D₄	—	4	8	no	—
510	C₂×D₄	—	4	8	no	—
511	C₂×D₄	—	4	16	no	—
512	C₂×D₄	—	8	4	no	—
513	C₂×D₄	—	8	2	no	—
514	C₂×D₄	—	8	8	no	—
515	C₂×D₄	C₂⁴	1	4	yes	—
516	C₂×D₄	C₂⁴	1	4	yes	—
517	C₂×D₄	C₂⁴	1	4	yes	—
518	C₂×D₄	C₂⁴	1	2	yes	—
519	C₂×D₄	C₂⁴	1	2	yes	—
520	C₂×D₄	C₂⁴	1	2	yes	—
521	C₂×D₄	C₂⁴	1	2	yes	—
522	C₂×D₄	C₂⁴	1	2	yes	—
523	C₂×D₄	C₂⁴	1	2	yes	—
524	C₂×D₄	C₂⁴	1	4	yes	—
525	C₂×D₄	C₂⁴	1	4	yes	—
526	C₂×D₄	C₂⁴	1	8	yes	—
527	C₂×D₄	C₂⁴	1	2	yes	—
528	C₂×D₄	C₂⁴	1	2	yes	—
529	C₂×D₄	C₂⁴	1	4	yes	—
530	C₂×D₄	C₂⁴	1	8	yes	—
531	C₂×D₄	C₂⁴	1	2	yes	—
532	C₂×D₄	C₂⁴	1	8	yes	—
533	C₂×D₄	C₂⁴	1	2	yes	—
534	C₂×D₄	C₂⁴	1	8	yes	—
535	C₂×D₄	C₂⁴	1	4	yes	—
536	C₂×D₄	C₂⁴	1	8	yes	—
537	C₂×D₄	C₂⁴	1	2	yes	—
538	C₂×D₄	C₂⁴	1	4	yes	—
539	C₂×D₄	C₂⁴	1	8	yes	—
540	C₂×D₄	C₂⁴	1	4	yes	—
541	C₂×D₄	C₂⁴	1	8	yes	—
542	C₂×D₄	C₂⁴	1	4	yes	—
543	C₂×D₄	C₂⁴	1	8	yes	—
544	C₂²×C₄	—	2	4	no	—
545	C₂²×C₄	—	4	8	no	—
546	C₂²×C₄	—	8	2	no	—
547	C₂²×C₄	C₂⁴	1	2	yes	—
548	C₂²×C₄	C₂⁴	1	4	yes	—
549	C₂²×C₄	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄	C₂⁴	1	4	yes	—
551	C₂²×C₄	C₂⁴	1	4	yes	—
552	C₂²×C₄	C₂⁴	1	2	yes	—
553	C₂²×C₄	C₂⁴	1	2	yes	—
554	C₂²×C₄	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄	C₂⁴	1	4	yes	—
558	C₂²×C₄	C₂⁴	1	4	yes	—
559	C₂²×C₄	C₂⁴	1	2	yes	—
560	C₂²×C₄	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄	C₂⁴	1	2	yes	—
562	C₂²×C₄	C₂⁴	1	4	yes	—
563	C₂²×C₄	C₂⁴	1	8	yes	—
564	C₂²×C₄	C₂⁴	1	4	yes	—
565	C₂²×C₄	C₂⁴	1	8	yes	—
566	C₂²×C₄	C₂⁴	1	8	yes	—
567	C₂²×C₄	C₂⁴	1	8	yes	—
568	C₂²×C₄	C₂⁴	1	8	yes	—
569	C₂²×C₄	C₂⁴	1	4	yes	—
570	C₂²×C₄	C₂⁴	1	4	yes	—
571	C₂²×C₄	C₂⁴	1	4	yes	—
572	C₂²×C₄	C₂⁴	1	1	yes	characteristic
573	C₄⋊C₄	C₂⁴	1	2	yes	—
574	C₄⋊C₄	C₂⁴	1	2	yes	—
575	C₄⋊C₄	C₂⁴	1	2	yes	—
576	C₄⋊C₄	C₂⁴	1	2	yes	—
577	C₄⋊C₄	C₂⁴	1	2	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	2	yes	—
582	C₄⋊C₄	C₂⁴	1	2	yes	—
583	C₄⋊C₄	C₂⁴	1	2	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	2	yes	—
588	C₄⋊C₄	C₂⁴	1	2	yes	—
589	C₄⋊C₄	C₂⁴	1	8	yes	—
590	C₄⋊C₄	C₂⁴	1	8	yes	—
591	C₄⋊C₄	C₂⁴	1	4	yes	—
592	C₄⋊C₄	C₂⁴	1	4	yes	—
593	C₄⋊C₄	C₂⁴	1	2	yes	—
594	C₄⋊C₄	C₂⁴	1	2	yes	—
595	C₄⋊C₄	C₂⁴	1	4	yes	—
596	C₄⋊C₄	C₂⁴	1	4	yes	—
597	C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₄⋊C₄	C₂⁴	1	4	yes	—
599	C₄⋊C₄	C₂⁴	1	4	yes	—
600	C₄⋊C₄	C₂⁴	1	2	yes	—
601	C₄⋊C₄	C₂⁴	1	2	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	2	yes	—
607	C₄⋊C₄	C₂⁴	1	4	yes	—
608	C₄⋊C₄	C₂⁴	1	2	yes	—
609	C₂²⋊C₄	C₂⁴	1	8	yes	—
610	C₂²⋊C₄	C₂⁴	1	4	yes	—
611	C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₂²⋊C₄	C₂⁴	1	8	yes	—
613	C₂²⋊C₄	C₂⁴	1	8	yes	—
614	C₂²⋊C₄	C₂⁴	1	8	yes	—
615	C₂²⋊C₄	C₂⁴	1	8	yes	—
616	C₂²⋊C₄	C₂⁴	1	8	yes	—
617	C₂²⋊C₄	C₂⁴	1	4	yes	—
618	C₂²⋊C₄	C₂⁴	1	8	yes	—
619	C₂²⋊C₄	C₂⁴	1	4	yes	—
620	C₂²⋊C₄	C₂⁴	1	4	yes	—
621	C₂²⋊C₄	C₂⁴	1	4	yes	—
622	C₂²⋊C₄	C₂⁴	1	2	yes	—
623	C₂²⋊C₄	C₂⁴	1	2	yes	—
624	C₂²⋊C₄	C₂⁴	1	2	yes	—
625	C₂²⋊C₄	C₂⁴	1	2	yes	—
626	C₂²⋊C₄	C₂⁴	1	8	yes	—
627	C₂²⋊C₄	C₂⁴	1	8	yes	—
628	C₂²⋊C₄	C₂⁴	1	8	yes	—
629	C₂²⋊C₄	C₂⁴	1	8	yes	—
630	C₂²⋊C₄	C₂⁴	1	4	yes	—
631	C₂²⋊C₄	C₂⁴	1	4	yes	—
632	C₂²⋊C₄	C₂⁴	1	4	yes	—
633	C₂²⋊C₄	C₂⁴	1	4	yes	—
634	C₂²⋊C₄	C₂⁴	1	8	yes	—
635	C₂²⋊C₄	C₂⁴	1	4	yes	—
636	C₂²⋊C₄	C₂⁴	1	4	yes	—
637	C₂²⋊C₄	C₂⁴	1	8	yes	—
638	C₂²⋊C₄	C₂⁴	1	4	yes	—
639	C₂²⋊C₄	C₂⁴	1	4	yes	—
640	C₂²⋊C₄	C₂⁴	1	4	yes	—
641	C₂²⋊C₄	C₂⁴	1	8	yes	—
642	C₂²⋊C₄	C₂⁴	1	4	yes	—
643	C₂²⋊C₄	C₂⁴	1	4	yes	—
644	C₂²⋊C₄	C₂⁴	1	4	yes	—
645	C₂²⋊C₄	C₂⁴	1	4	yes	—
646	C₄²	C₂⁴	1	2	yes	—
647	C₄²	C₂⁴	1	1	yes	characteristic
648	C₄²	C₂⁴	1	2	yes	—
649	C₄²	C₂⁴	1	1	yes	characteristic
650	C₄²	C₂⁴	1	1	yes	characteristic
651	C₄²	C₂⁴	1	4	yes	—
652	C₄²	C₂⁴	1	1	yes	characteristic
653	C₄²	C₂⁴	1	4	yes	—
654	C₄²	C₂⁴	1	4	yes	—
655	C₄²	C₂⁴	1	4	yes	—
656	C₄²	C₂⁴	1	4	yes	—
657	C₄²	C₂⁴	1	8	yes	—
658	C₄²	C₂⁴	1	8	yes	—
659	C₂³	—	2	2	no	—
660	C₂³	—	2	4	no	—
661	C₂³	—	4	4	no	—
662	C₂³	—	4	2	no	—
663	C₂³	—	4	1	no	—
664	C₂³	—	4	4	no	—
665	C₂³	—	4	1	no	—
666	C₂³	—	4	2	no	—
667	C₂³	—	4	4	no	—
668	C₂³	—	4	8	no	—
669	C₂³	—	4	8	no	—
670	C₂³	—	4	8	no	—
671	C₂³	C₂⁵	1	2	yes	—
672	C₂³	C₂⁵	1	4	yes	—
673	C₂³	C₂⁵	1	4	yes	—
674	C₂³	C₂⁵	1	4	yes	—
675	C₂³	C₂⁵	1	4	yes	—
676	C₂³	C₂⁵	1	1	yes	characteristic
677	Q₈	—	2	4	no	—
678	Q₈	—	2	4	no	—
679	Q₈	—	2	4	no	—
680	Q₈	—	2	4	no	—
681	Q₈	—	2	4	no	—
682	Q₈	—	4	8	no	—
683	Q₈	—	4	4	no	—
684	Q₈	—	4	8	no	—
685	Q₈	—	4	2	no	—
686	Q₈	—	4	2	no	—
687	D₄	—	2	8	no	—
688	D₄	—	2	8	no	—
689	D₄	—	2	8	no	—
690	D₄	—	2	4	no	—
691	D₄	—	2	4	no	—
692	D₄	—	2	4	no	—
693	D₄	—	2	4	no	—
694	D₄	—	2	4	no	—
695	D₄	—	4	8	no	—
696	D₄	—	4	8	no	—
697	D₄	—	4	4	no	—
698	D₄	—	4	4	no	—
699	D₄	—	4	4	no	—
700	D₄	—	4	2	no	—
701	D₄	—	4	2	no	—
702	D₄	—	4	4	no	—
703	D₄	—	4	8	no	—
704	D₄	—	4	8	no	—
705	D₄	—	4	8	no	—
706	D₄	—	4	8	no	—
707	D₄	—	4	4	no	—
708	D₄	—	4	2	no	—
709	D₄	—	4	2	no	—
710	D₄	—	4	4	no	—
711	D₄	—	4	8	no	—
712	D₄	—	4	2	no	—
713	D₄	—	4	8	no	—
714	D₄	—	4	2	no	—
715	D₄	—	4	4	no	—
716	C₂×C₄	—	2	2	no	—
717	C₂×C₄	—	2	4	no	—
718	C₂×C₄	—	2	4	no	—
719	C₂×C₄	—	2	4	no	—
720	C₂×C₄	—	2	8	no	—
721	C₂×C₄	—	2	8	no	—
722	C₂×C₄	—	2	8	no	—
723	C₂×C₄	—	4	4	no	—
724	C₂×C₄	—	4	4	no	—
725	C₂×C₄	—	4	4	no	—
726	C₂×C₄	—	4	1	no	—
727	C₂×C₄	—	4	4	no	—
728	C₂×C₄	—	4	2	no	—
729	C₂×C₄	—	4	4	no	—
730	C₂×C₄	—	4	1	no	—
731	C₂×C₄	—	4	4	no	—
732	C₂×C₄	—	4	1	no	—
733	C₂×C₄	—	4	8	no	—
734	C₂×C₄	—	4	2	no	—
735	C₂×C₄	—	4	8	no	—
736	C₂×C₄	—	4	8	no	—
737	C₂×C₄	—	4	8	no	—
738	C₂×C₄	—	4	1	no	—
739	C₂×C₄	—	4	8	no	—
740	C₂×C₄	—	4	4	no	—
741	C₂×C₄	H(5,𝔽₂)	1	4	yes	—
742	C₂×C₄	C₂⁵	1	1	yes	characteristic
743	C₂×C₄	C₂⁵	1	4	yes	—
744	C₂×C₄	C₂⁵	1	1	yes	characteristic
745	C₂×C₄	C₂⁵	1	2	yes	—
746	C₂×C₄	C₂⁵	1	2	yes	—
747	C₂×C₄	C₂⁵	1	4	yes	—
748	C₂×C₄	C₂⁵	1	1	yes	characteristic
749	C₂×C₄	C₂⁵	1	4	yes	—
750	C₂×C₄	C₂⁵	1	4	yes	—
751	C₂×C₄	C₂⁵	1	4	yes	—
752	C₂×C₄	C₂⁵	1	4	yes	—
753	C₂×C₄	C₂⁵	1	4	yes	—
754	C₂×C₄	C₂⁵	1	1	yes	characteristic
755	C₂×C₄	C₂⁵	1	4	yes	—
756	C₂×C₄	C₂⁵	1	2	yes	—
757	C₂×C₄	C₂⁵	1	1	yes	characteristic
758	C₂×C₄	C₂⁵	1	1	yes	characteristic
759	C₂²	—	2	1	no	—
760	C₂²	—	2	1	no	—
761	C₂²	—	2	2	no	—
762	C₂²	—	2	4	no	—
763	C₂²	—	2	4	no	—
764	C₂²	—	2	4	no	—
765	C₂²	—	2	4	no	—
766	C₂²	—	2	4	no	—
767	C₂²	—	2	4	no	—
768	C₂²	—	2	4	no	—
769	C₂²	—	2	4	no	—
770	C₂²	—	2	2	no	—
771	C₂²	—	2	4	no	—
772	C₂²	—	2	4	no	—
773	C₂²	—	2	2	no	—
774	C₂²	—	2	4	no	—
775	C₂²	—	2	4	no	—
776	C₂²	—	8	2	no	—
777	C₂²	—	8	4	no	—
778	C₂²	—	8	8	no	—
779	C₂²	—	16	8	no	—
780	C₂²	C₂×H(5,𝔽₂)	1	2	yes	—
781	C₂²	C₂⁶	1	1	yes	characteristic
782	C₄	—	2	2	no	—
783	C₄	—	2	4	no	—
784	C₄	—	2	4	no	—
785	C₄	—	2	4	no	—
786	C₄	—	2	4	no	—
787	C₄	—	2	1	no	—
788	C₄	—	2	4	no	—
789	C₄	—	2	1	no	—
790	C₄	—	2	4	no	—
791	C₄	—	2	4	no	—
792	C₄	—	2	2	no	—
793	C₄	—	2	2	no	—
794	C₄	—	2	1	no	—
795	C₄	—	2	4	no	—
796	C₄	—	2	1	no	—
797	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
798	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
799	C₂	—	2	2	no	—
800	C₂	—	4	4	no	—
801	C₂	—	4	2	no	—
802	C₂	—	4	4	no	—
803	C₂	—	4	4	no	—
804	C₂	—	4	4	no	—
805	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
806	C₂	H(7,𝔽₂)	1	1	yes	characteristic
807	C₂	2₋¹⁺⁶	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. #3561	C₂	semidirect
2. #3560	C₂	semidirect
3. #3558	C₂	semidirect
4. #3558	C₂	semidirect
5. #3554	C₂	semidirect
6. #3546	C₂	semidirect
7. #3542	C₂	semidirect
8. #3541	C₂	semidirect
9. #3540	C₂	semidirect
10. #3536	C₂	semidirect
11. #3536	C₂	semidirect
12. #3534	C₂	semidirect
13. #3511	C₂	semidirect
14. #3507	C₂	semidirect
15. #3506	C₂	semidirect
16. #3500	C₂	semidirect
17. #3497	C₂	semidirect
18. #3496	C₂	semidirect
19. #3489	C₂	semidirect
20. #3488	C₂	semidirect
21. #3455	C₂	semidirect
22. C₂×#542	C₂	semidirect
23. #3449	C₂	semidirect
24. C₂×2₋¹⁺⁴	C₂²	semidirect
25. C₂×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×#41	C₂²	semidirect
27. #563	C₂²	semidirect
28. #562	C₂²	semidirect
29. #562	C₂²	semidirect
30. #562	C₂²	semidirect
31. #562	C₂²	semidirect
32. H(3,𝔽₄)	C₂²	semidirect
33. #560	C₂²	semidirect
34. #560	C₂²	semidirect
35. #559	C₂²	semidirect
36. #559	C₂²	semidirect
37. #559	C₂²	semidirect
38. #557	C₂²	semidirect
39. #556	C₂²	semidirect
40. #556	C₂²	semidirect
41. #556	C₂²	semidirect
42. #556	C₂²	semidirect
43. #555	C₂²	semidirect
44. #555	C₂²	semidirect
45. #554	C₂²	semidirect
46. #554	C₂²	semidirect
47. #554	C₂²	semidirect
48. #553	C₂²	semidirect
49. #553	C₂²	semidirect
50. #553	C₂²	semidirect
51. #552	C₂²	semidirect
52. #551	C₂²	semidirect
53. #551	C₂²	semidirect
54. #550	C₂²	semidirect
55. #550	C₂²	semidirect
56. #550	C₂²	semidirect
57. #550	C₂²	semidirect
58. D₄×Q₈	C₂²	semidirect
59. D₄×Q₈	C₂²	semidirect
60. D₄×Q₈	C₂²	semidirect
61. #548	C₂²	semidirect
62. #548	C₂²	semidirect
63. #548	C₂²	semidirect
64. #548	C₂²	semidirect
65. #548	C₂²	semidirect
66. #548	C₂²	semidirect
67. #548	C₂²	semidirect
68. #547	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. #546	C₂²	semidirect
84. #546	C₂²	semidirect
85. #546	C₂²	semidirect
86. #546	C₂²	semidirect
87. D₄²	C₂²	semidirect
88. D₄²	C₂²	semidirect
89. D₄²	C₂²	semidirect
90. D₄²	C₂²	semidirect
91. #543	C₂²	semidirect
92. #542	C₂²	semidirect
93. #542	C₂²	semidirect
94. #542	C₂²	semidirect
95. #542	C₂²	semidirect
96. #542	C₂²	semidirect
97. #542	C₂²	semidirect
98. #542	C₂²	semidirect
99. #542	C₂²	semidirect
100. #542	C₂²	semidirect
101. #542	C₂²	semidirect
102. #542	C₂²	semidirect
103. #541	C₂²	semidirect
104. #540	C₂²	semidirect
105. #540	C₂²	semidirect
106. #539	C₂²	semidirect
107. #539	C₂²	semidirect
108. #539	C₂²	semidirect
109. #539	C₂²	semidirect
110. #539	C₂²	semidirect
111. #538	C₂²	semidirect
112. #538	C₂²	semidirect
113. #538	C₂²	semidirect
114. #538	C₂²	semidirect
115. #538	C₂²	semidirect
116. #538	C₂²	semidirect
117. #538	C₂²	semidirect
118. #538	C₂²	semidirect
119. #538	C₂²	semidirect
120. #537	C₂²	semidirect
121. #537	C₂²	semidirect
122. #537	C₂²	semidirect
123. #537	C₂²	semidirect
124. #537	C₂²	semidirect
125. #537	C₂²	semidirect
126. #537	C₂²	semidirect
127. #537	C₂²	semidirect
128. #536	C₂²	semidirect
129. #536	C₂²	semidirect
130. #536	C₂²	semidirect
131. #536	C₂²	semidirect
132. #536	C₂²	semidirect
133. #535	C₂²	semidirect
134. #535	C₂²	semidirect
135. #535	C₂²	semidirect
136. #535	C₂²	semidirect
137. #535	C₂²	semidirect
138. #535	C₂²	semidirect
139. #534	C₂²	semidirect
140. #534	C₂²	semidirect
141. #534	C₂²	semidirect
142. #534	C₂²	semidirect
143. #533	C₂²	semidirect
144. #533	C₂²	semidirect
146. #532	C₂²	semidirect
147. #532	C₂²	semidirect
148. #532	C₂²	semidirect
149. #532	C₂²	semidirect
150. #532	C₂²	semidirect
151. #532	C₂²	semidirect
152. C₂×C₄⋊Q₈	C₂²	semidirect
153. #529	C₂²	semidirect
154. #529	C₂²	semidirect
155. #529	C₂²	semidirect
156. C₂×#126	C₂²	semidirect
157. C₂×#124	C₂²	semidirect
158. C₂×#124	C₂²	semidirect
159. C₂×#124	C₂²	semidirect
160. #525	C₂²	semidirect
161. #525	C₂²	semidirect
162. #525	C₂²	semidirect
163. #525	C₂²	semidirect
164. #525	C₂²	semidirect
165. #525	C₂²	semidirect
166. C₂×#123	C₂²	semidirect
167. C₂×C₂²⋊Q₈	C₂²	semidirect
168. C₂×C₂²⋊Q₈	C₂²	semidirect
169. C₂×C₂²⋊Q₈	C₂²	semidirect
171. C₂×#121	C₂²	semidirect
172. C₂×#121	C₂²	semidirect
173. #520	C₂²	semidirect
174. #520	C₂²	semidirect
175. C₄×#41	C₂²	semidirect
176. C₂×C₄×Q₈	C₂²	semidirect
177. C₂×C₄×D₄	C₂²	semidirect
178. 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
#3561	2
#3560	2
#3558	2
#3554	2
#3546	2
#3542	2
#3541	2
#3540	2
#3536	2
#3534	2
#3511	2
#3507	2
#3506	2
#3500	2
#3497	2
#3496	2
#3489	2
#3488	2
#3455	2
C₂×#542	2
#3449	2