Subgroups — #62926

Order 256.

3283 conjugacy classes of subgroups.

The subgroup lattice has 842 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	#3559	C₂	1	4	yes	maximal, complemented
3	#3557	C₂	1	4	yes	maximal, complemented
4	#3555	C₂	1	2	yes	maximal, complemented
5	#3554	C₂	1	4	yes	maximal, complemented
6	#3548	C₂	1	2	yes	maximal, complemented
7	#3547	C₂	1	2	yes	maximal, complemented
8	#3544	C₂	1	2	yes	maximal, complemented
9	#3541	C₂	1	4	yes	maximal, complemented
10	#3541	C₂	1	8	yes	maximal, complemented
11	#3522	C₂	1	2	yes	maximal, complemented
12	#3515	C₂	1	2	yes	maximal, complemented
13	#3512	C₂	1	2	yes	maximal, complemented
14	#3511	C₂	1	1	yes	maximal, characteristic, complemented
15	#3511	C₂	1	2	yes	maximal, complemented
16	#3507	C₂	1	2	yes	maximal, complemented
17	#3506	C₂	1	2	yes	maximal, complemented
18	#3506	C₂	1	1	yes	maximal, characteristic, complemented
19	#3504	C₂	1	2	yes	maximal, complemented
20	#3503	C₂	1	1	yes	maximal, characteristic, complemented
21	#3492	C₂	1	4	yes	maximal, complemented
22	#3480	C₂	1	1	yes	maximal, characteristic, complemented
23	Q₈×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#554	C₂	1	1	yes	maximal, characteristic, complemented
25	#3460	C₂	1	1	yes	maximal, characteristic, complemented
26	#3460	C₂	1	2	yes	maximal, complemented
27	#563	C₂²	1	8	yes	complemented
28	#563	C₂²	1	8	yes	complemented
29	#563	C₂²	1	8	yes	complemented
30	#562	C₂²	1	8	yes	complemented
31	#562	C₂²	1	8	yes	complemented
32	#562	C₂²	1	8	yes	complemented
33	#559	C₂²	1	4	yes	—
34	#559	C₂²	1	4	yes	—
35	#559	C₂²	1	4	yes	—
36	#559	C₂²	1	1	yes	characteristic, complemented
37	#559	C₂²	1	2	yes	complemented
38	Q₈²	C₂²	1	1	yes	characteristic, complemented
39	Q₈²	C₂²	1	2	yes	complemented
40	#557	C₂²	1	1	yes	characteristic, complemented
41	#557	C₂²	1	2	yes	complemented
42	#557	C₂²	1	1	yes	characteristic, complemented
43	#557	C₂²	1	2	yes	complemented
44	#557	C₂²	1	4	yes	complemented
45	#557	C₂²	1	4	yes	complemented
46	#556	C₂²	1	2	yes	—
47	#556	C₂²	1	4	yes	—
48	#556	C₂²	1	1	yes	characteristic, complemented
49	#556	C₂²	1	2	yes	complemented
50	#556	C₂²	1	8	yes	complemented
51	#556	C₂²	1	4	yes	complemented
52	#556	C₂²	1	2	yes	complemented
53	#555	C₂²	1	2	yes	—
54	#555	C₂²	1	4	yes	—
55	#555	C₂²	1	2	yes	complemented
56	#554	C₂²	1	2	yes	—
57	#554	C₂²	1	2	yes	—
58	#554	C₂²	1	2	yes	—
59	#554	C₂²	1	2	yes	—
60	#554	C₂²	1	4	yes	—
61	#554	C₂²	1	4	yes	—
62	#554	C₂²	1	2	yes	—
63	#554	C₂²	1	4	yes	—
64	#554	C₂²	1	4	yes	—
65	#554	C₂²	1	8	yes	—
66	#554	C₂²	1	8	yes	—
67	#554	C₂²	1	1	yes	characteristic, complemented
68	#554	C₂²	1	2	yes	complemented
69	#554	C₂²	1	2	yes	complemented
70	#554	C₂²	1	4	yes	complemented
71	#554	C₂²	1	4	yes	complemented
72	#554	C₂²	1	2	yes	complemented
73	#553	C₂²	1	2	yes	—
74	#553	C₂²	1	4	yes	—
75	#553	C₂²	1	4	yes	—
76	#553	C₂²	1	8	yes	—
77	#553	C₂²	1	4	yes	—
78	#553	C₂²	1	4	yes	—
79	#553	C₂²	1	4	yes	—
80	#553	C₂²	1	8	yes	—
81	#553	C₂²	1	4	yes	complemented
82	#553	C₂²	1	4	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	4	yes	complemented
88	#552	C₂²	1	4	yes	complemented
89	#552	C₂²	1	8	yes	complemented
90	#550	C₂²	1	2	yes	—
91	#550	C₂²	1	4	yes	—
92	#550	C₂²	1	1	yes	characteristic, complemented
93	D₄×Q₈	C₂²	1	2	yes	—
94	D₄×Q₈	C₂²	1	4	yes	—
95	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
96	D₄×Q₈	C₂²	1	2	yes	complemented
97	#548	C₂²	1	2	yes	—
98	#548	C₂²	1	4	yes	—
99	#548	C₂²	1	8	yes	complemented
100	#548	C₂²	1	4	yes	complemented
101	#547	C₂²	1	2	yes	—
102	#547	C₂²	1	4	yes	—
103	#547	C₂²	1	4	yes	complemented
104	#547	C₂²	1	4	yes	complemented
105	#547	C₂²	1	8	yes	complemented
106	#547	C₂²	1	2	yes	complemented
107	#547	C₂²	1	4	yes	complemented
108	#547	C₂²	1	8	yes	complemented
109	#544	C₂²	1	2	yes	—
110	#544	C₂²	1	1	yes	characteristic
111	#544	C₂²	1	4	yes	complemented
112	#544	C₂²	1	4	yes	complemented
113	#544	C₂²	1	4	yes	complemented
114	#544	C₂²	1	4	yes	complemented
115	#542	C₂²	1	4	yes	—
116	#542	C₂²	1	4	yes	—
117	#542	C₂²	1	2	yes	—
118	#542	C₂²	1	2	yes	—
119	#542	C₂²	1	8	yes	complemented
120	#542	C₂²	1	4	yes	complemented
121	#542	C₂²	1	4	yes	complemented
122	#542	C₂²	1	8	yes	complemented
123	#542	C₂²	1	8	yes	complemented
124	#542	C₂²	1	8	yes	complemented
125	#541	C₂²	1	4	yes	complemented
126	#541	C₂²	1	4	yes	complemented
127	#541	C₂²	1	8	yes	complemented
128	#540	C₂²	1	4	yes	—
129	#540	C₂²	1	4	yes	—
130	#540	C₂²	1	2	yes	—
131	#540	C₂²	1	2	yes	—
132	#540	C₂²	1	4	yes	complemented
133	#539	C₂²	1	8	yes	complemented
134	#539	C₂²	1	8	yes	complemented
135	#539	C₂²	1	8	yes	complemented
136	#539	C₂²	1	8	yes	complemented
137	#539	C₂²	1	8	yes	complemented
138	#538	C₂²	1	4	yes	—
139	#538	C₂²	1	8	yes	—
140	#538	C₂²	1	8	yes	—
141	#538	C₂²	1	4	yes	—
142	#537	C₂²	1	2	yes	—
143	#537	C₂²	1	1	yes	characteristic
144	#537	C₂²	1	4	yes	complemented
145	#537	C₂²	1	4	yes	complemented
146	#537	C₂²	1	8	yes	complemented
147	#536	C₂²	1	4	yes	complemented
148	#536	C₂²	1	8	yes	complemented
149	#535	C₂²	1	1	yes	characteristic
150	#535	C₂²	1	1	yes	characteristic
151	#535	C₂²	1	2	yes	—
152	#533	C₂²	1	1	yes	characteristic
153	#533	C₂²	1	2	yes	—
154	#533	C₂²	1	2	yes	complemented
155	#533	C₂²	1	4	yes	complemented
156	#533	C₂²	1	2	yes	complemented
157	#533	C₂²	1	4	yes	complemented
158	#533	C₂²	1	2	yes	complemented
159	#532	C₂²	1	2	yes	—
160	#532	C₂²	1	2	yes	—
161	#532	C₂²	1	4	yes	—
162	#532	C₂²	1	4	yes	—
163	#532	C₂²	1	1	yes	characteristic
164	#532	C₂²	1	2	yes	—
165	#532	C₂²	1	2	yes	complemented
166	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic
167	C₂×C₄⋊Q₈	C₂²	1	2	yes	complemented
168	#529	C₂²	1	4	yes	—
169	#529	C₂²	1	2	yes	—
170	#529	C₂²	1	4	yes	—
171	#529	C₂²	1	2	yes	—
172	#529	C₂²	1	2	yes	complemented
173	#529	C₂²	1	4	yes	complemented
174	#529	C₂²	1	4	yes	complemented
175	#529	C₂²	1	4	yes	complemented
176	C₂×#125	C₂²	1	2	yes	—
177	C₂×#125	C₂²	1	4	yes	complemented
178	#525	C₂²	1	4	yes	—
179	#525	C₂²	1	8	yes	—
180	#525	C₂²	1	4	yes	—
181	#525	C₂²	1	8	yes	—
182	C₂×C₂²⋊Q₈	C₂²	1	4	yes	—
183	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
184	#520	C₂²	1	2	yes	—
185	#520	C₂²	1	2	yes	—
186	#520	C₂²	1	2	yes	—
187	#520	C₂²	1	4	yes	complemented
188	#520	C₂²	1	4	yes	complemented
189	C₄×#41	C₂²	1	1	yes	characteristic
190	C₄×#41	C₂²	1	2	yes	—
191	C₄×#41	C₂²	1	1	yes	characteristic
192	C₄×#41	C₂²	1	2	yes	—
193	C₄×#41	C₂²	1	2	yes	complemented
194	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
195	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
196	C₂×C₄×D₄	C₂²	1	2	yes	—
197	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
198	C₂²×C₄⋊C₄	C₂²	1	2	yes	—
199	C₂×#41	C₂³	1	1	yes	characteristic
200	C₂×#41	C₂³	1	1	yes	characteristic
201	C₂×#41	C₂³	1	2	yes	—
202	C₂×#41	C₂³	1	2	yes	—
203	C₂×#41	C₂³	1	4	yes	—
204	C₂×#41	C₂³	1	4	yes	—
205	C₂×#41	C₂³	1	8	yes	—
206	C₂×#41	C₂³	1	8	yes	—
207	C₂×#41	C₂³	1	4	yes	—
208	C₂²×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×Q₈	C₂³	1	2	yes	—
210	C₂²×Q₈	C₂³	1	2	yes	—
211	C₂²×Q₈	C₂³	1	4	yes	—
212	C₂²×D₄	C₂³	1	1	yes	characteristic
213	C₂³×C₄	C₂³	1	2	yes	—
214	C₂³×C₄	C₂³	1	4	yes	—
215	C₄⋊Q₈	C₂³	1	2	yes	—
216	C₄⋊Q₈	C₂³	1	2	yes	—
217	C₄⋊Q₈	C₂³	1	2	yes	—
218	C₄⋊Q₈	C₂³	1	2	yes	—
219	C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₄⋊Q₈	C₂³	1	4	yes	—
221	C₄⋊Q₈	C₂³	1	4	yes	—
222	C₄⋊Q₈	C₂³	1	4	yes	—
223	C₄⋊Q₈	C₂³	1	2	yes	—
224	C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₄⋊Q₈	C₂³	1	2	yes	—
226	C₄⋊Q₈	C₂³	1	4	yes	—
227	C₄⋊Q₈	C₂³	1	2	yes	—
228	C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₄⋊Q₈	C₂³	1	2	yes	—
230	C₄⋊Q₈	C₂³	1	2	yes	—
231	C₄⋊Q₈	C₂³	1	4	yes	—
232	C₄⋊Q₈	C₂³	1	2	yes	—
233	C₄⋊Q₈	C₂³	1	4	yes	—
234	C₄⋊Q₈	C₂³	1	2	yes	—
235	C₄⋊Q₈	C₂³	1	8	yes	—
236	C₄⋊Q₈	C₂³	1	8	yes	—
237	C₄⋊Q₈	C₂³	1	8	yes	—
238	#127	C₂³	1	2	yes	—
239	#127	C₂³	1	1	yes	characteristic
240	#127	C₂³	1	4	yes	—
241	#127	C₂³	1	2	yes	—
242	#127	C₂³	1	2	yes	—
243	#126	C₂³	1	8	yes	—
244	#126	C₂³	1	4	yes	—
245	#126	C₂³	1	4	yes	—
246	#126	C₂³	1	8	yes	—
247	#126	C₂³	1	4	yes	—
248	#126	C₂³	1	8	yes	—
249	#126	C₂³	1	4	yes	—
250	#126	C₂³	1	8	yes	—
251	#126	C₂³	1	4	yes	—
252	#126	C₂³	1	8	yes	—
253	#126	C₂³	1	8	yes	—
254	#126	C₂³	1	8	yes	—
255	#126	C₂³	1	8	yes	—
256	#126	C₂³	1	8	yes	—
257	#126	C₂³	1	8	yes	—
258	#125	C₂³	1	4	yes	—
259	#125	C₂³	1	4	yes	—
260	#125	C₂³	1	4	yes	—
261	#125	C₂³	1	4	yes	—
262	#125	C₂³	1	2	yes	—
263	#125	C₂³	1	2	yes	—
264	#125	C₂³	1	4	yes	—
265	#125	C₂³	1	8	yes	—
266	#125	C₂³	1	8	yes	—
267	#125	C₂³	1	2	yes	—
268	#125	C₂³	1	4	yes	—
269	#125	C₂³	1	4	yes	—
270	#125	C₂³	1	2	yes	—
271	#125	C₂³	1	2	yes	—
272	#125	C₂³	1	2	yes	—
273	#125	C₂³	1	4	yes	—
274	#125	C₂³	1	4	yes	—
275	#125	C₂³	1	4	yes	—
276	#125	C₂³	1	4	yes	—
277	#125	C₂³	1	8	yes	—
278	#125	C₂³	1	8	yes	—
279	#125	C₂³	1	8	yes	—
280	#125	C₂³	1	8	yes	—
281	#125	C₂³	1	8	yes	—
282	#124	C₂³	1	2	yes	—
283	#124	C₂³	1	4	yes	—
284	#124	C₂³	1	2	yes	—
285	#124	C₂³	1	2	yes	—
286	#124	C₂³	1	2	yes	—
287	#124	C₂³	1	2	yes	—
288	#124	C₂³	1	4	yes	—
289	#124	C₂³	1	8	yes	—
290	#124	C₂³	1	4	yes	—
291	#124	C₂³	1	8	yes	—
292	#124	C₂³	1	4	yes	—
293	#124	C₂³	1	2	yes	—
294	#124	C₂³	1	4	yes	—
295	#124	C₂³	1	8	yes	—
296	#124	C₂³	1	8	yes	—
297	#124	C₂³	1	8	yes	—
298	#124	C₂³	1	8	yes	—
299	#123	C₂³	1	4	yes	—
300	#123	C₂³	1	4	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	#123	C₂³	1	8	yes	—
306	#123	C₂³	1	4	yes	—
307	#123	C₂³	1	8	yes	—
308	#123	C₂³	1	4	yes	—
309	#123	C₂³	1	8	yes	—
310	#123	C₂³	1	4	yes	—
311	#123	C₂³	1	8	yes	—
312	#123	C₂³	1	4	yes	—
313	#123	C₂³	1	8	yes	—
314	#123	C₂³	1	4	yes	—
315	#123	C₂³	1	8	yes	—
316	#123	C₂³	1	8	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	C₂²⋊Q₈	C₂³	1	4	yes	—
322	C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₂²⋊Q₈	C₂³	1	4	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	2	yes	—
329	C₂²⋊Q₈	C₂³	1	4	yes	—
330	C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₂²⋊Q₈	C₂³	1	4	yes	—
334	C₂²⋊Q₈	C₂³	1	8	yes	—
335	C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₂²⋊Q₈	C₂³	1	2	yes	—
337	C₂²⋊Q₈	C₂³	1	4	yes	—
338	C₂²⋊Q₈	C₂³	1	2	yes	—
339	C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₂²⋊Q₈	C₂³	1	2	yes	—
341	C₂²⋊Q₈	C₂³	1	4	yes	—
342	C₂²⋊Q₈	C₂³	1	2	yes	—
343	C₂²⋊Q₈	C₂³	1	4	yes	—
344	C₂²⋊Q₈	C₂³	1	4	yes	—
345	C₂²⋊Q₈	C₂³	1	2	yes	—
346	C₂²⋊Q₈	C₂³	1	2	yes	—
347	C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₂²⋊Q₈	C₂³	1	8	yes	—
349	C₂²⋊Q₈	C₂³	1	4	yes	—
350	C₂²⋊Q₈	C₂³	1	4	yes	—
351	C₂²⋊Q₈	C₂³	1	4	yes	—
352	C₂²⋊Q₈	C₂³	1	4	yes	—
353	C₂²⋊Q₈	C₂³	1	8	yes	—
354	C₂²⋊Q₈	C₂³	1	4	yes	—
355	C₂²⋊Q₈	C₂³	1	4	yes	—
356	C₂²⋊Q₈	C₂³	1	8	yes	—
357	C₂²⋊Q₈	C₂³	1	8	yes	—
358	C₂²⋊Q₈	C₂³	1	8	yes	—
359	C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₂²⋊Q₈	C₂³	1	8	yes	—
361	C₂²⋊Q₈	C₂³	1	8	yes	—
362	C₂²⋊Q₈	C₂³	1	8	yes	—
363	#121	C₂³	1	2	yes	—
364	#121	C₂³	1	4	yes	—
365	#121	C₂³	1	8	yes	—
366	#121	C₂³	1	4	yes	—
367	#121	C₂³	1	8	yes	—
368	#121	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	2	yes	—
373	#121	C₂³	1	2	yes	—
374	#121	C₂³	1	4	yes	—
375	#121	C₂³	1	2	yes	—
376	#121	C₂³	1	4	yes	—
377	#121	C₂³	1	2	yes	—
378	#121	C₂³	1	4	yes	—
379	#121	C₂³	1	4	yes	—
380	#121	C₂³	1	2	yes	—
381	#121	C₂³	1	4	yes	—
382	#121	C₂³	1	2	yes	—
383	#121	C₂³	1	4	yes	—
384	#121	C₂³	1	8	yes	—
385	#121	C₂³	1	2	yes	—
386	#121	C₂³	1	4	yes	—
387	#121	C₂³	1	8	yes	—
388	#121	C₂³	1	4	yes	—
389	#121	C₂³	1	4	yes	—
390	#121	C₂³	1	8	yes	—
391	#121	C₂³	1	8	yes	—
392	#121	C₂³	1	8	yes	—
393	#121	C₂³	1	8	yes	—
394	#121	C₂³	1	8	yes	—
395	#120	C₂³	1	4	yes	—
396	#120	C₂³	1	8	yes	—
397	#120	C₂³	1	4	yes	—
398	C₄×Q₈	C₂³	1	1	yes	characteristic
399	C₄×Q₈	C₂³	1	1	yes	characteristic
400	C₄×Q₈	C₂³	1	1	yes	characteristic
401	C₄×Q₈	C₂³	1	2	yes	—
402	C₄×Q₈	C₂³	1	1	yes	characteristic
403	C₄×Q₈	C₂³	1	2	yes	—
404	C₄×Q₈	C₂³	1	2	yes	—
405	C₄×Q₈	C₂³	1	2	yes	—
406	C₄×Q₈	C₂³	1	4	yes	—
407	C₄×Q₈	C₂³	1	2	yes	—
408	C₄×Q₈	C₂³	1	4	yes	—
409	C₄×Q₈	C₂³	1	2	yes	—
410	C₄×Q₈	C₂³	1	1	yes	characteristic
411	C₄×Q₈	C₂³	1	2	yes	—
412	C₄×Q₈	C₂³	1	1	yes	characteristic
413	C₄×Q₈	C₂³	1	2	yes	—
414	C₄×Q₈	C₂³	1	1	yes	characteristic
415	C₄×Q₈	C₂³	1	1	yes	characteristic
416	C₄×Q₈	C₂³	1	2	yes	—
417	C₄×Q₈	C₂³	1	2	yes	—
418	C₄×Q₈	C₂³	1	4	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	8	yes	—
423	C₄×Q₈	C₂³	1	2	yes	—
424	C₄×Q₈	C₂³	1	4	yes	—
425	C₄×Q₈	C₂³	1	4	yes	—
426	C₄×Q₈	C₂³	1	8	yes	—
427	C₄×Q₈	C₂³	1	4	yes	—
428	C₄×D₄	C₂³	1	2	yes	—
429	C₄×D₄	C₂³	1	2	yes	—
430	C₄×D₄	C₂³	1	4	yes	—
431	C₄×D₄	C₂³	1	4	yes	—
432	C₄×D₄	C₂³	1	4	yes	—
433	C₄×D₄	C₂³	1	4	yes	—
434	C₄×D₄	C₂³	1	2	yes	—
435	C₄×D₄	C₂³	1	2	yes	—
436	C₄×D₄	C₂³	1	2	yes	—
437	C₄×D₄	C₂³	1	2	yes	—
438	C₄×D₄	C₂³	1	4	yes	—
439	C₄×D₄	C₂³	1	4	yes	—
440	C₄×D₄	C₂³	1	1	yes	characteristic
441	C₄×D₄	C₂³	1	1	yes	characteristic
442	C₄×D₄	C₂³	1	2	yes	—
443	C₄×D₄	C₂³	1	2	yes	—
444	C₄×D₄	C₂³	1	2	yes	—
445	C₄×D₄	C₂³	1	4	yes	—
446	C₄×D₄	C₂³	1	2	yes	—
447	C₄×D₄	C₂³	1	4	yes	—
448	C₄×D₄	C₂³	1	1	yes	characteristic
449	C₄×D₄	C₂³	1	1	yes	characteristic
450	C₄×D₄	C₂³	1	2	yes	—
451	C₄×D₄	C₂³	1	2	yes	—
452	C₄×D₄	C₂³	1	2	yes	—
453	C₄×D₄	C₂³	1	2	yes	—
454	C₄×D₄	C₂³	1	4	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	8	yes	—
459	C₄×D₄	C₂³	1	4	yes	—
460	C₄×D₄	C₂³	1	4	yes	—
461	C₄×D₄	C₂³	1	4	yes	—
462	C₄×D₄	C₂³	1	8	yes	—
463	C₄×D₄	C₂³	1	8	yes	—
464	C₄×D₄	C₂³	1	8	yes	—
465	C₄×D₄	C₂³	1	8	yes	—
466	C₄×D₄	C₂³	1	8	yes	—
467	C₄×D₄	C₂³	1	4	yes	—
468	C₄×D₄	C₂³	1	4	yes	—
469	C₄×D₄	C₂³	1	4	yes	—
470	C₄×D₄	C₂³	1	8	yes	—
471	C₄×D₄	C₂³	1	4	yes	—
472	C₄×D₄	C₂³	1	2	yes	—
473	C₄×D₄	C₂³	1	8	yes	—
474	#117	C₂³	1	1	yes	characteristic
475	#117	C₂³	1	1	yes	characteristic
476	#117	C₂³	1	2	yes	—
477	#117	C₂³	1	4	yes	—
478	#117	C₂³	1	2	yes	—
479	#117	C₂³	1	4	yes	—
480	#117	C₂³	1	2	yes	—
481	#117	C₂³	1	2	yes	—
482	#117	C₂³	1	4	yes	—
483	#117	C₂³	1	4	yes	—
484	#117	C₂³	1	4	yes	—
485	#117	C₂³	1	4	yes	—
486	#117	C₂³	1	4	yes	—
487	#117	C₂³	1	4	yes	—
488	#117	C₂³	1	8	yes	—
489	#117	C₂³	1	4	yes	—
490	#117	C₂³	1	8	yes	—
491	#117	C₂³	1	8	yes	—
492	#117	C₂³	1	8	yes	—
493	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
494	C₂×C₄⋊C₄	C₂³	1	4	yes	—
495	C₂×C₄⋊C₄	C₂³	1	4	yes	—
496	C₂×C₄⋊C₄	C₂³	1	2	yes	—
497	C₂×C₄⋊C₄	C₂³	1	4	yes	—
498	C₂×C₄⋊C₄	C₂³	1	8	yes	—
499	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
500	C₂×C₄⋊C₄	C₂³	1	2	yes	—
501	C₂×C₄⋊C₄	C₂³	1	2	yes	—
502	C₂×C₄⋊C₄	C₂³	1	2	yes	—
503	C₂×C₄⋊C₄	C₂³	1	4	yes	—
504	C₂×C₄⋊C₄	C₂³	1	4	yes	—
505	C₂×C₄⋊C₄	C₂³	1	4	yes	—
506	C₂×C₄⋊C₄	C₂³	1	4	yes	—
507	C₂×C₄⋊C₄	C₂³	1	8	yes	—
508	C₂×C₄⋊C₄	C₂³	1	4	yes	—
509	C₂×C₄⋊C₄	C₂³	1	4	yes	—
510	C₂×C₄⋊C₄	C₂³	1	8	yes	—
511	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
512	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
513	C₂×C₄²	C₂³	1	2	yes	—
514	C₂×C₄²	C₂³	1	1	yes	characteristic
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	2	yes	—
519	C₂⁴	C₂⁴	1	2	yes	—
520	#41	—	2	4	no	—
521	#41	—	2	4	no	—
522	#41	—	2	8	no	—
523	#41	—	4	8	no	—
524	#41	—	4	8	no	—
525	#41	—	4	4	no	—
526	#41	—	8	8	no	—
527	#41	—	8	8	no	—
528	#41	—	8	4	no	—
529	C₂×Q₈	—	4	2	no	—
530	C₂×Q₈	—	4	4	no	—
531	C₂×Q₈	—	8	2	no	—
532	C₂×Q₈	—	8	4	no	—
533	C₂×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×Q₈	C₂⁴	1	2	yes	—
535	C₂×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×Q₈	C₂⁴	1	1	yes	characteristic
538	C₂×Q₈	C₂⁴	1	2	yes	—
539	C₂×Q₈	C₂⁴	1	2	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	4	yes	—
544	C₂×Q₈	C₂⁴	1	4	yes	—
545	C₂×Q₈	C₂⁴	1	8	yes	—
546	C₂×Q₈	C₂⁴	1	2	yes	—
547	C₂×D₄	—	2	4	no	—
548	C₂×D₄	C₂⁴	1	2	yes	—
549	C₂×D₄	C₂⁴	1	2	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	2	yes	—
554	C₂×D₄	C₂⁴	1	1	yes	characteristic
555	C₂×D₄	C₂⁴	1	2	yes	—
556	C₂×D₄	C₂⁴	1	2	yes	—
557	C₂×D₄	C₂⁴	1	4	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	4	yes	—
562	C₂×D₄	C₂⁴	1	4	yes	—
563	C₂×D₄	C₂⁴	1	4	yes	—
564	C₂×D₄	C₂⁴	1	8	yes	—
565	C₂×D₄	C₂⁴	1	8	yes	—
566	C₂×D₄	C₂⁴	1	4	yes	—
567	C₂×D₄	C₂⁴	1	2	yes	—
568	C₂²×C₄	—	4	4	no	—
569	C₂²×C₄	—	8	4	no	—
570	C₂²×C₄	C₂⁴	1	2	yes	—
571	C₂²×C₄	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄	C₂⁴	1	4	yes	—
573	C₂²×C₄	C₂⁴	1	2	yes	—
574	C₂²×C₄	C₂⁴	1	2	yes	—
575	C₂²×C₄	C₂⁴	1	2	yes	—
576	C₂²×C₄	C₂⁴	1	4	yes	—
577	C₂²×C₄	C₂⁴	1	2	yes	—
578	C₂²×C₄	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄	C₂⁴	1	2	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	2	yes	—
584	C₂²×C₄	C₂⁴	1	4	yes	—
585	C₂²×C₄	C₂⁴	1	2	yes	—
586	C₂²×C₄	C₂⁴	1	2	yes	—
587	C₂²×C₄	C₂⁴	1	4	yes	—
588	C₂²×C₄	C₂⁴	1	8	yes	—
589	C₂²×C₄	C₂⁴	1	8	yes	—
590	C₂²×C₄	C₂⁴	1	8	yes	—
591	C₂²×C₄	C₂⁴	1	8	yes	—
592	C₂²×C₄	C₂⁴	1	8	yes	—
593	C₂²×C₄	C₂⁴	1	4	yes	—
594	C₂²×C₄	C₂⁴	1	1	yes	characteristic
595	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₄⋊C₄	C₂⁴	1	4	yes	—
600	C₄⋊C₄	C₂⁴	1	8	yes	—
601	C₄⋊C₄	C₂⁴	1	2	yes	—
602	C₄⋊C₄	C₂⁴	1	4	yes	—
603	C₄⋊C₄	C₂⁴	1	2	yes	—
604	C₄⋊C₄	C₂⁴	1	4	yes	—
605	C₄⋊C₄	C₂⁴	1	2	yes	—
606	C₄⋊C₄	C₂⁴	1	8	yes	—
607	C₄⋊C₄	C₂⁴	1	4	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	2	yes	—
615	C₄⋊C₄	C₂⁴	1	8	yes	—
616	C₄⋊C₄	C₂⁴	1	8	yes	—
617	C₄⋊C₄	C₂⁴	1	2	yes	—
618	C₄⋊C₄	C₂⁴	1	4	yes	—
619	C₄⋊C₄	C₂⁴	1	4	yes	—
620	C₄⋊C₄	C₂⁴	1	8	yes	—
621	C₄⋊C₄	C₂⁴	1	8	yes	—
622	C₄⋊C₄	C₂⁴	1	8	yes	—
623	C₄⋊C₄	C₂⁴	1	8	yes	—
624	C₄⋊C₄	C₂⁴	1	8	yes	—
625	C₄⋊C₄	C₂⁴	1	2	yes	—
626	C₄⋊C₄	C₂⁴	1	4	yes	—
627	C₄⋊C₄	C₂⁴	1	2	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	4	yes	—
633	C₄⋊C₄	C₂⁴	1	4	yes	—
634	C₄⋊C₄	C₂⁴	1	8	yes	—
635	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₄⋊C₄	C₂⁴	1	4	yes	—
638	C₄⋊C₄	C₂⁴	1	2	yes	—
639	C₄⋊C₄	C₂⁴	1	2	yes	—
640	C₄⋊C₄	C₂⁴	1	4	yes	—
641	C₄⋊C₄	C₂⁴	1	4	yes	—
642	C₄⋊C₄	C₂⁴	1	2	yes	—
643	C₄⋊C₄	C₂⁴	1	4	yes	—
644	C₄⋊C₄	C₂⁴	1	4	yes	—
645	C₄⋊C₄	C₂⁴	1	2	yes	—
646	C₄⋊C₄	C₂⁴	1	4	yes	—
647	C₄⋊C₄	C₂⁴	1	4	yes	—
648	C₄⋊C₄	C₂⁴	1	2	yes	—
649	C₄⋊C₄	C₂⁴	1	4	yes	—
650	C₄⋊C₄	C₂⁴	1	2	yes	—
651	C₂²⋊C₄	C₂⁴	1	8	yes	—
652	C₂²⋊C₄	C₂⁴	1	4	yes	—
653	C₂²⋊C₄	C₂⁴	1	8	yes	—
654	C₂²⋊C₄	C₂⁴	1	4	yes	—
655	C₂²⋊C₄	C₂⁴	1	4	yes	—
656	C₂²⋊C₄	C₂⁴	1	4	yes	—
657	C₂²⋊C₄	C₂⁴	1	8	yes	—
658	C₂²⋊C₄	C₂⁴	1	4	yes	—
659	C₂²⋊C₄	C₂⁴	1	4	yes	—
660	C₂²⋊C₄	C₂⁴	1	4	yes	—
661	C₂²⋊C₄	C₂⁴	1	2	yes	—
662	C₂²⋊C₄	C₂⁴	1	2	yes	—
663	C₂²⋊C₄	C₂⁴	1	4	yes	—
664	C₂²⋊C₄	C₂⁴	1	4	yes	—
665	C₂²⋊C₄	C₂⁴	1	4	yes	—
666	C₂²⋊C₄	C₂⁴	1	4	yes	—
667	C₂²⋊C₄	C₂⁴	1	8	yes	—
668	C₂²⋊C₄	C₂⁴	1	4	yes	—
669	C₂²⋊C₄	C₂⁴	1	4	yes	—
670	C₂²⋊C₄	C₂⁴	1	2	yes	—
671	C₂²⋊C₄	C₂⁴	1	4	yes	—
672	C₂²⋊C₄	C₂⁴	1	8	yes	—
673	C₂²⋊C₄	C₂⁴	1	8	yes	—
674	C₂²⋊C₄	C₂⁴	1	8	yes	—
675	C₂²⋊C₄	C₂⁴	1	2	yes	—
676	C₂²⋊C₄	C₂⁴	1	2	yes	—
677	C₂²⋊C₄	C₂⁴	1	4	yes	—
678	C₂²⋊C₄	C₂⁴	1	2	yes	—
679	C₂²⋊C₄	C₂⁴	1	8	yes	—
680	C₂²⋊C₄	C₂⁴	1	8	yes	—
681	C₂²⋊C₄	C₂⁴	1	4	yes	—
682	C₂²⋊C₄	C₂⁴	1	4	yes	—
683	C₂²⋊C₄	C₂⁴	1	4	yes	—
684	C₂²⋊C₄	C₂⁴	1	4	yes	—
685	C₄²	C₂⁴	1	2	yes	—
686	C₄²	C₂⁴	1	2	yes	—
687	C₄²	C₂⁴	1	1	yes	characteristic
688	C₄²	C₂⁴	1	2	yes	—
689	C₄²	C₂⁴	1	1	yes	characteristic
690	C₄²	C₂⁴	1	4	yes	—
691	C₄²	C₂⁴	1	4	yes	—
692	C₄²	C₂⁴	1	2	yes	—
693	C₄²	C₂⁴	1	2	yes	—
694	C₄²	C₂⁴	1	1	yes	characteristic
695	C₄²	C₂⁴	1	2	yes	—
696	C₄²	C₂⁴	1	1	yes	characteristic
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	4	yes	—
703	C₄²	C₂⁴	1	2	yes	—
704	C₄²	C₂⁴	1	8	yes	—
705	C₄²	C₂⁴	1	8	yes	—
706	C₄²	C₂⁴	1	8	yes	—
707	C₂³	—	2	4	no	—
708	C₂³	—	4	2	no	—
709	C₂³	—	4	2	no	—
710	C₂³	C₂⁵	1	4	yes	—
711	C₂³	C₂⁵	1	2	yes	—
712	C₂³	C₂⁵	1	2	yes	—
713	C₂³	C₂⁵	1	4	yes	—
714	C₂³	C₂⁵	1	1	yes	characteristic
715	Q₈	—	2	2	no	—
716	Q₈	—	2	4	no	—
717	Q₈	—	2	2	no	—
718	Q₈	—	2	2	no	—
719	Q₈	—	2	2	no	—
720	Q₈	—	2	4	no	—
721	Q₈	—	4	2	no	—
722	Q₈	—	4	4	no	—
723	Q₈	—	4	4	no	—
724	Q₈	—	4	2	no	—
725	Q₈	—	4	4	no	—
726	Q₈	—	4	8	no	—
727	Q₈	—	4	4	no	—
728	Q₈	—	4	4	no	—
729	D₄	—	2	4	no	—
730	D₄	—	2	4	no	—
731	D₄	—	2	8	no	—
732	D₄	—	2	4	no	—
733	D₄	—	2	4	no	—
734	D₄	—	2	2	no	—
735	D₄	—	2	2	no	—
736	D₄	—	2	4	no	—
737	D₄	—	2	4	no	—
738	D₄	—	4	4	no	—
739	D₄	—	4	4	no	—
740	D₄	—	4	4	no	—
741	D₄	—	4	8	no	—
742	D₄	—	4	4	no	—
743	D₄	—	4	4	no	—
744	D₄	—	4	4	no	—
745	D₄	—	4	8	no	—
746	D₄	—	4	4	no	—
747	D₄	—	4	8	no	—
748	D₄	—	4	2	no	—
749	C₂×C₄	—	2	8	no	—
750	C₂×C₄	—	2	4	no	—
751	C₂×C₄	—	2	4	no	—
752	C₂×C₄	—	2	2	no	—
753	C₂×C₄	—	2	8	no	—
754	C₂×C₄	—	2	4	no	—
755	C₂×C₄	—	2	4	no	—
756	C₂×C₄	—	4	2	no	—
757	C₂×C₄	—	4	4	no	—
758	C₂×C₄	—	4	2	no	—
759	C₂×C₄	—	4	4	no	—
760	C₂×C₄	—	4	8	no	—
761	C₂×C₄	—	4	8	no	—
762	C₂×C₄	—	4	2	no	—
763	C₂×C₄	—	4	4	no	—
764	C₂×C₄	—	4	1	no	—
765	C₂×C₄	—	4	2	no	—
766	C₂×C₄	—	4	8	no	—
767	C₂×C₄	—	4	8	no	—
768	C₂×C₄	—	4	4	no	—
769	C₂×C₄	—	4	4	no	—
770	C₂×C₄	—	4	4	no	—
771	C₂×C₄	—	4	8	no	—
772	C₂×C₄	—	4	2	no	—
773	C₂×C₄	2₋¹⁺⁴	1	4	yes	—
774	C₂×C₄	C₂⁵	1	2	yes	—
775	C₂×C₄	C₂⁵	1	4	yes	—
776	C₂×C₄	C₂⁵	1	2	yes	—
777	C₂×C₄	C₂⁵	1	2	yes	—
778	C₂×C₄	C₂⁵	1	2	yes	—
779	C₂×C₄	C₂⁵	1	2	yes	—
780	C₂×C₄	C₂⁵	1	1	yes	characteristic
781	C₂×C₄	C₂⁵	1	2	yes	—
782	C₂×C₄	C₂⁵	1	2	yes	—
783	C₂×C₄	C₂⁵	1	4	yes	—
784	C₂×C₄	C₂⁵	1	2	yes	—
785	C₂×C₄	C₂⁵	1	1	yes	characteristic
786	C₂×C₄	C₂⁵	1	4	yes	—
787	C₂×C₄	C₂⁵	1	1	yes	characteristic
788	C₂×C₄	C₂⁵	1	4	yes	—
789	C₂×C₄	C₂⁵	1	8	yes	—
790	C₂×C₄	C₂⁵	1	2	yes	—
791	C₂×C₄	C₂⁵	1	2	yes	—
792	C₂×C₄	C₂⁵	1	1	yes	characteristic
793	C₂×C₄	C₂⁵	1	1	yes	characteristic
794	C₂×C₄	C₂⁵	1	1	yes	characteristic
795	C₂²	—	2	1	no	—
796	C₂²	—	2	1	no	—
797	C₂²	—	2	2	no	—
798	C₂²	—	2	2	no	—
799	C₂²	—	2	4	no	—
800	C₂²	—	2	4	no	—
801	C₂²	—	2	2	no	—
802	C₂²	—	2	4	no	—
803	C₂²	—	2	2	no	—
804	C₂²	—	2	4	no	—
805	C₂²	—	2	2	no	—
806	C₂²	—	2	4	no	—
807	C₂²	—	2	2	no	—
808	C₂²	—	2	4	no	—
809	C₂²	—	4	8	no	—
810	C₂²	C₂×2₋¹⁺⁴	1	2	yes	—
811	C₂²	C₂⁶	1	1	yes	characteristic
812	C₄	—	2	4	no	—
813	C₄	—	2	2	no	—
814	C₄	—	2	2	no	—
815	C₄	—	2	4	no	—
816	C₄	—	2	1	no	—
817	C₄	—	2	2	no	—
818	C₄	—	2	2	no	—
819	C₄	—	2	2	no	—
820	C₄	—	2	4	no	—
821	C₄	—	2	2	no	—
822	C₄	—	2	2	no	—
823	C₄	—	2	2	no	—
824	C₄	—	2	2	no	—
825	C₄	—	2	8	no	—
826	C₄	—	2	1	no	—
827	C₄	—	2	2	no	—
828	C₄	—	2	4	no	—
829	C₄	—	2	1	no	—
830	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
831	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
832	C₄	#585	1	2	yes	—
833	C₂	—	2	2	no	—
834	C₂	—	4	2	no	—
835	C₂	—	4	2	no	—
836	C₂	—	4	4	no	—
837	C₂	—	4	4	no	—
838	C₂	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
839	C₂	C₂×#585	1	1	yes	characteristic
840	C₂	H(7,𝔽₂)	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. #3559	C₂	semidirect
3. #3557	C₂	semidirect
4. #3555	C₂	semidirect
5. #3554	C₂	semidirect
6. #3548	C₂	semidirect
7. #3547	C₂	semidirect
8. #3544	C₂	semidirect
9. #3541	C₂	semidirect
10. #3541	C₂	semidirect
11. #3522	C₂	semidirect
12. #3515	C₂	semidirect
13. #3512	C₂	semidirect
14. #3511	C₂	semidirect
15. #3511	C₂	semidirect
16. #3507	C₂	semidirect
17. #3506	C₂	semidirect
18. #3506	C₂	semidirect
19. #3504	C₂	semidirect
20. #3503	C₂	semidirect
21. #3492	C₂	semidirect
22. #3480	C₂	semidirect
23. Q₈×#41	C₂	semidirect
24. C₂×#554	C₂	semidirect
25. #3460	C₂	semidirect
26. #3460	C₂	semidirect
27. #563	C₂²	semidirect
28. #563	C₂²	semidirect
29. #563	C₂²	semidirect
30. #562	C₂²	semidirect
31. #562	C₂²	semidirect
32. #562	C₂²	semidirect
36. #559	C₂²	semidirect
37. #559	C₂²	semidirect
38. Q₈²	C₂²	semidirect
39. Q₈²	C₂²	semidirect
40. #557	C₂²	semidirect
41. #557	C₂²	semidirect
42. #557	C₂²	semidirect
43. #557	C₂²	semidirect
44. #557	C₂²	semidirect
45. #557	C₂²	semidirect
48. #556	C₂²	semidirect
49. #556	C₂²	semidirect
50. #556	C₂²	semidirect
51. #556	C₂²	semidirect
52. #556	C₂²	semidirect
55. #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
81. #553	C₂²	semidirect
82. #553	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
92. #550	C₂²	semidirect
95. D₄×Q₈	C₂²	semidirect
96. D₄×Q₈	C₂²	semidirect
99. #548	C₂²	semidirect
100. #548	C₂²	semidirect
103. #547	C₂²	semidirect
104. #547	C₂²	semidirect
105. #547	C₂²	semidirect
106. #547	C₂²	semidirect
107. #547	C₂²	semidirect
108. #547	C₂²	semidirect
111. #544	C₂²	semidirect
112. #544	C₂²	semidirect
113. #544	C₂²	semidirect
114. #544	C₂²	semidirect
119. #542	C₂²	semidirect
120. #542	C₂²	semidirect
121. #542	C₂²	semidirect
122. #542	C₂²	semidirect
123. #542	C₂²	semidirect
124. #542	C₂²	semidirect
125. #541	C₂²	semidirect
126. #541	C₂²	semidirect
127. #541	C₂²	semidirect
132. #540	C₂²	semidirect
133. #539	C₂²	semidirect
134. #539	C₂²	semidirect
135. #539	C₂²	semidirect
136. #539	C₂²	semidirect
137. #539	C₂²	semidirect
144. #537	C₂²	semidirect
145. #537	C₂²	semidirect
146. #537	C₂²	semidirect
147. #536	C₂²	semidirect
148. #536	C₂²	semidirect
154. #533	C₂²	semidirect
155. #533	C₂²	semidirect
156. #533	C₂²	semidirect
157. #533	C₂²	semidirect
158. #533	C₂²	semidirect
165. #532	C₂²	semidirect
167. C₂×C₄⋊Q₈	C₂²	semidirect
172. #529	C₂²	semidirect
173. #529	C₂²	semidirect
174. #529	C₂²	semidirect
175. #529	C₂²	semidirect
177. C₂×#125	C₂²	semidirect
187. #520	C₂²	semidirect
188. #520	C₂²	semidirect
193. C₄×#41	C₂²	semidirect
195. 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
#3559	2
#3557	2
#3555	2
#3554	2
#3548	2
#3547	2
#3544	2
#3541	2
#3522	2
#3515	2
#3512	2
#3511	2
#3507	2
#3506	2
#3504	2
#3503	2
#3492	2
#3480	2
Q₈×#41	2
C₂×#554	2
#3460	2