Subgroups — #62831

Order 256.

3264 conjugacy classes of subgroups.

The subgroup lattice has 859 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	#3557	C₂	1	4	yes	maximal, complemented
4	#3555	C₂	1	2	yes	maximal, complemented
5	#3554	C₂	1	2	yes	maximal, complemented
6	#3552	C₂	1	2	yes	maximal, complemented
7	#3544	C₂	1	2	yes	maximal, complemented
8	#3535	C₂	1	4	yes	maximal, complemented
9	#3523	C₂	1	2	yes	maximal, complemented
10	#3522	C₂	1	2	yes	maximal, complemented
11	#3520	C₂	1	4	yes	maximal, complemented
12	#3518	C₂	1	2	yes	maximal, complemented
13	#3515	C₂	1	4	yes	maximal, complemented
14	#3515	C₂	1	2	yes	maximal, complemented
15	#3510	C₂	1	2	yes	maximal, complemented
16	#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	#3507	C₂	1	4	yes	maximal, complemented
18	#3506	C₂	1	1	yes	maximal, characteristic, complemented
19	#3504	C₂	1	2	yes	maximal, complemented
20	#3502	C₂	1	1	yes	maximal, characteristic, complemented
21	#3501	C₂	1	1	yes	maximal, characteristic, complemented
22	#3495	C₂	1	2	yes	maximal, complemented
23	#3495	C₂	1	4	yes	maximal, complemented
24	#3494	C₂	1	2	yes	maximal, complemented
25	#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#533	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#529	C₂	1	1	yes	maximal, characteristic, complemented
28	#563	C₂²	1	8	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	4	yes	complemented
33	#559	C₂²	1	4	yes	complemented
34	#559	C₂²	1	2	yes	complemented
35	#559	C₂²	1	4	yes	complemented
36	Q₈²	C₂²	1	2	yes	complemented
37	Q₈²	C₂²	1	2	yes	complemented
38	#557	C₂²	1	4	yes	complemented
39	#557	C₂²	1	2	yes	complemented
40	#557	C₂²	1	4	yes	complemented
41	#557	C₂²	1	2	yes	complemented
42	#557	C₂²	1	4	yes	complemented
43	#557	C₂²	1	4	yes	complemented
44	#557	C₂²	1	2	yes	complemented
45	#556	C₂²	1	8	yes	complemented
46	#556	C₂²	1	4	yes	complemented
47	#556	C₂²	1	2	yes	complemented
48	#556	C₂²	1	4	yes	complemented
49	#556	C₂²	1	4	yes	complemented
50	#556	C₂²	1	2	yes	complemented
51	#556	C₂²	1	8	yes	complemented
52	#556	C₂²	1	4	yes	complemented
53	#556	C₂²	1	4	yes	complemented
54	#555	C₂²	1	4	yes	—
55	#555	C₂²	1	2	yes	complemented
56	#554	C₂²	1	8	yes	—
57	#554	C₂²	1	8	yes	—
58	#554	C₂²	1	4	yes	complemented
59	#554	C₂²	1	4	yes	complemented
60	#554	C₂²	1	2	yes	complemented
61	#554	C₂²	1	4	yes	complemented
62	#554	C₂²	1	2	yes	complemented
63	#554	C₂²	1	4	yes	complemented
64	#554	C₂²	1	4	yes	complemented
65	#554	C₂²	1	2	yes	complemented
66	#553	C₂²	1	4	yes	—
67	#553	C₂²	1	4	yes	—
68	#553	C₂²	1	4	yes	complemented
69	#552	C₂²	1	8	yes	—
70	#552	C₂²	1	8	yes	complemented
71	#552	C₂²	1	4	yes	complemented
72	#552	C₂²	1	8	yes	complemented
73	#552	C₂²	1	8	yes	complemented
74	#552	C₂²	1	4	yes	complemented
75	#552	C₂²	1	8	yes	complemented
76	#552	C₂²	1	4	yes	complemented
77	#552	C₂²	1	4	yes	complemented
78	#552	C₂²	1	8	yes	complemented
79	#552	C₂²	1	4	yes	complemented
80	#551	C₂²	1	8	yes	—
81	#551	C₂²	1	8	yes	—
82	#551	C₂²	1	8	yes	—
83	#551	C₂²	1	8	yes	—
84	#550	C₂²	1	2	yes	complemented
85	D₄×Q₈	C₂²	1	2	yes	complemented
86	D₄×Q₈	C₂²	1	2	yes	complemented
87	D₄×Q₈	C₂²	1	4	yes	complemented
88	#548	C₂²	1	4	yes	complemented
89	#548	C₂²	1	4	yes	complemented
90	#547	C₂²	1	4	yes	—
91	#547	C₂²	1	2	yes	complemented
92	#547	C₂²	1	4	yes	complemented
93	#547	C₂²	1	8	yes	complemented
94	#547	C₂²	1	4	yes	complemented
95	#546	C₂²	1	8	yes	—
96	#544	C₂²	1	2	yes	—
97	#544	C₂²	1	2	yes	—
98	#544	C₂²	1	4	yes	—
99	#544	C₂²	1	4	yes	complemented
100	#544	C₂²	1	4	yes	complemented
101	#544	C₂²	1	4	yes	complemented
102	#543	C₂²	1	4	yes	—
103	#542	C₂²	1	4	yes	—
104	#542	C₂²	1	4	yes	complemented
105	#542	C₂²	1	4	yes	complemented
106	#542	C₂²	1	4	yes	complemented
107	#542	C₂²	1	4	yes	complemented
108	#542	C₂²	1	4	yes	complemented
109	#542	C₂²	1	8	yes	complemented
110	#542	C₂²	1	8	yes	complemented
111	#542	C₂²	1	8	yes	complemented
112	#541	C₂²	1	4	yes	complemented
113	#541	C₂²	1	4	yes	complemented
114	#541	C₂²	1	4	yes	complemented
115	#541	C₂²	1	8	yes	complemented
116	#541	C₂²	1	8	yes	complemented
117	#540	C₂²	1	4	yes	—
118	#539	C₂²	1	4	yes	—
119	#539	C₂²	1	8	yes	complemented
120	#539	C₂²	1	8	yes	complemented
121	#539	C₂²	1	8	yes	complemented
122	#539	C₂²	1	8	yes	complemented
123	#539	C₂²	1	8	yes	complemented
124	#538	C₂²	1	4	yes	—
125	#536	C₂²	1	2	yes	—
126	#536	C₂²	1	4	yes	complemented
127	#536	C₂²	1	8	yes	complemented
128	#535	C₂²	1	2	yes	—
129	#533	C₂²	1	2	yes	—
130	#533	C₂²	1	1	yes	characteristic
131	#533	C₂²	1	1	yes	characteristic
132	#533	C₂²	1	2	yes	—
133	#533	C₂²	1	2	yes	—
134	#533	C₂²	1	1	yes	characteristic
135	#533	C₂²	1	4	yes	—
136	#533	C₂²	1	1	yes	characteristic, complemented
137	#533	C₂²	1	1	yes	characteristic, complemented
138	#533	C₂²	1	2	yes	complemented
139	#533	C₂²	1	2	yes	complemented
140	#533	C₂²	1	2	yes	complemented
141	#533	C₂²	1	1	yes	characteristic, complemented
142	#533	C₂²	1	1	yes	characteristic, complemented
143	#533	C₂²	1	4	yes	complemented
144	#533	C₂²	1	4	yes	complemented
145	#532	C₂²	1	1	yes	characteristic
146	#532	C₂²	1	4	yes	—
147	#532	C₂²	1	1	yes	characteristic, complemented
148	#532	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
151	#529	C₂²	1	2	yes	—
152	#529	C₂²	1	2	yes	—
153	#529	C₂²	1	2	yes	—
154	#529	C₂²	1	2	yes	—
155	#529	C₂²	1	2	yes	—
156	#529	C₂²	1	2	yes	—
157	#529	C₂²	1	2	yes	—
158	#529	C₂²	1	2	yes	—
159	#529	C₂²	1	2	yes	—
160	#529	C₂²	1	2	yes	—
161	#529	C₂²	1	4	yes	—
162	#529	C₂²	1	4	yes	—
163	#529	C₂²	1	2	yes	complemented
164	#529	C₂²	1	2	yes	complemented
165	#529	C₂²	1	2	yes	complemented
166	#529	C₂²	1	2	yes	complemented
167	#529	C₂²	1	4	yes	complemented
168	#529	C₂²	1	4	yes	complemented
169	#529	C₂²	1	4	yes	complemented
170	C₂×#126	C₂²	1	2	yes	—
171	C₂×#125	C₂²	1	1	yes	characteristic
172	C₂×#125	C₂²	1	2	yes	complemented
173	C₂×#125	C₂²	1	4	yes	complemented
174	C₂×#124	C₂²	1	1	yes	characteristic
175	#525	C₂²	1	2	yes	—
176	#525	C₂²	1	2	yes	—
177	#525	C₂²	1	2	yes	—
178	#525	C₂²	1	4	yes	—
179	C₂×#123	C₂²	1	2	yes	—
180	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
181	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
182	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
183	C₂×C₂²⋊Q₈	C₂²	1	4	yes	—
184	C₂×#121	C₂²	1	1	yes	characteristic
185	#520	C₂²	1	2	yes	—
186	#520	C₂²	1	2	yes	—
187	#520	C₂²	1	4	yes	complemented
188	#520	C₂²	1	8	yes	complemented
189	#519	C₂²	1	2	yes	—
190	#519	C₂²	1	4	yes	complemented
191	#518	C₂²	1	2	yes	—
192	C₄×#41	C₂²	1	2	yes	—
193	C₄×#41	C₂²	1	2	yes	complemented
194	C₄×#41	C₂²	1	2	yes	complemented
195	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
196	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
197	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
198	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
199	C₂×C₄×D₄	C₂²	1	2	yes	—
200	C₂×#117	C₂²	1	2	yes	—
201	C₂×#117	C₂²	1	2	yes	—
202	C₂²×C₄²	C₂²	1	1	yes	characteristic
203	C₂×#41	C₂³	1	2	yes	—
204	C₂×#41	C₂³	1	2	yes	—
205	C₂×#41	C₂³	1	2	yes	—
206	C₂×#41	C₂³	1	4	yes	—
207	C₂×#41	C₂³	1	8	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	C₂²×D₄	C₂³	1	2	yes	—
214	C₂³×C₄	C₂³	1	1	yes	characteristic
215	C₂³×C₄	C₂³	1	2	yes	—
216	C₂³×C₄	C₂³	1	1	yes	characteristic
217	C₂³×C₄	C₂³	1	1	yes	characteristic
218	C₄⋊Q₈	C₂³	1	2	yes	—
219	C₄⋊Q₈	C₂³	1	2	yes	—
220	C₄⋊Q₈	C₂³	1	2	yes	—
221	C₄⋊Q₈	C₂³	1	2	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	2	yes	—
227	C₄⋊Q₈	C₂³	1	2	yes	—
228	C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₄⋊Q₈	C₂³	1	4	yes	—
230	C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₄⋊Q₈	C₂³	1	4	yes	—
233	C₄⋊Q₈	C₂³	1	4	yes	—
234	C₄⋊Q₈	C₂³	1	4	yes	—
235	C₄⋊Q₈	C₂³	1	4	yes	—
236	C₄⋊Q₈	C₂³	1	4	yes	—
237	C₄⋊Q₈	C₂³	1	4	yes	—
238	C₄⋊Q₈	C₂³	1	8	yes	—
239	C₄⋊Q₈	C₂³	1	8	yes	—
240	C₄⋊Q₈	C₂³	1	8	yes	—
241	C₄⋊Q₈	C₂³	1	8	yes	—
242	#127	C₂³	1	1	yes	characteristic
243	#127	C₂³	1	4	yes	—
244	#126	C₂³	1	4	yes	—
245	#126	C₂³	1	4	yes	—
246	#126	C₂³	1	4	yes	—
247	#126	C₂³	1	4	yes	—
248	#126	C₂³	1	4	yes	—
249	#126	C₂³	1	4	yes	—
250	#126	C₂³	1	8	yes	—
251	#126	C₂³	1	8	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	#126	C₂³	1	8	yes	—
259	#126	C₂³	1	8	yes	—
260	#126	C₂³	1	8	yes	—
261	#126	C₂³	1	8	yes	—
262	#126	C₂³	1	8	yes	—
263	#125	C₂³	1	2	yes	—
264	#125	C₂³	1	2	yes	—
265	#125	C₂³	1	2	yes	—
266	#125	C₂³	1	2	yes	—
267	#125	C₂³	1	2	yes	—
268	#125	C₂³	1	2	yes	—
269	#125	C₂³	1	4	yes	—
270	#125	C₂³	1	4	yes	—
271	#125	C₂³	1	2	yes	—
272	#125	C₂³	1	2	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	2	yes	—
279	#125	C₂³	1	4	yes	—
280	#125	C₂³	1	4	yes	—
281	#125	C₂³	1	2	yes	—
282	#125	C₂³	1	4	yes	—
283	#125	C₂³	1	8	yes	—
284	#125	C₂³	1	8	yes	—
285	#125	C₂³	1	8	yes	—
286	#125	C₂³	1	8	yes	—
287	#125	C₂³	1	8	yes	—
288	#125	C₂³	1	8	yes	—
289	#125	C₂³	1	8	yes	—
290	#125	C₂³	1	8	yes	—
291	#125	C₂³	1	8	yes	—
292	#124	C₂³	1	2	yes	—
293	#124	C₂³	1	2	yes	—
294	#124	C₂³	1	2	yes	—
295	#124	C₂³	1	2	yes	—
296	#124	C₂³	1	2	yes	—
297	#124	C₂³	1	2	yes	—
298	#124	C₂³	1	4	yes	—
299	#124	C₂³	1	4	yes	—
300	#124	C₂³	1	2	yes	—
301	#124	C₂³	1	4	yes	—
302	#124	C₂³	1	8	yes	—
303	#124	C₂³	1	8	yes	—
304	#124	C₂³	1	8	yes	—
305	#124	C₂³	1	8	yes	—
306	#124	C₂³	1	8	yes	—
307	#124	C₂³	1	8	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	4	yes	—
313	#123	C₂³	1	4	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	#123	C₂³	1	8	yes	—
322	#123	C₂³	1	8	yes	—
323	#123	C₂³	1	8	yes	—
324	#123	C₂³	1	8	yes	—
325	#123	C₂³	1	8	yes	—
326	#123	C₂³	1	8	yes	—
327	#123	C₂³	1	8	yes	—
328	#123	C₂³	1	8	yes	—
329	C₂²⋊Q₈	C₂³	1	2	yes	—
330	C₂²⋊Q₈	C₂³	1	2	yes	—
331	C₂²⋊Q₈	C₂³	1	2	yes	—
332	C₂²⋊Q₈	C₂³	1	2	yes	—
333	C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₂²⋊Q₈	C₂³	1	2	yes	—
336	C₂²⋊Q₈	C₂³	1	2	yes	—
337	C₂²⋊Q₈	C₂³	1	2	yes	—
338	C₂²⋊Q₈	C₂³	1	4	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	2	yes	—
344	C₂²⋊Q₈	C₂³	1	2	yes	—
345	C₂²⋊Q₈	C₂³	1	4	yes	—
346	C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₂²⋊Q₈	C₂³	1	4	yes	—
349	C₂²⋊Q₈	C₂³	1	8	yes	—
350	C₂²⋊Q₈	C₂³	1	2	yes	—
351	C₂²⋊Q₈	C₂³	1	2	yes	—
352	C₂²⋊Q₈	C₂³	1	2	yes	—
353	C₂²⋊Q₈	C₂³	1	2	yes	—
354	C₂²⋊Q₈	C₂³	1	2	yes	—
355	C₂²⋊Q₈	C₂³	1	4	yes	—
356	C₂²⋊Q₈	C₂³	1	4	yes	—
357	C₂²⋊Q₈	C₂³	1	4	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	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	C₂²⋊Q₈	C₂³	1	8	yes	—
370	C₂²⋊Q₈	C₂³	1	8	yes	—
371	C₂²⋊Q₈	C₂³	1	8	yes	—
372	C₂²⋊Q₈	C₂³	1	8	yes	—
373	C₂²⋊Q₈	C₂³	1	8	yes	—
374	C₂²⋊Q₈	C₂³	1	8	yes	—
375	#121	C₂³	1	2	yes	—
376	#121	C₂³	1	2	yes	—
377	#121	C₂³	1	2	yes	—
378	#121	C₂³	1	2	yes	—
379	#121	C₂³	1	2	yes	—
380	#121	C₂³	1	2	yes	—
381	#121	C₂³	1	2	yes	—
382	#121	C₂³	1	2	yes	—
383	#121	C₂³	1	2	yes	—
384	#121	C₂³	1	2	yes	—
385	#121	C₂³	1	4	yes	—
386	#121	C₂³	1	4	yes	—
387	#121	C₂³	1	4	yes	—
388	#121	C₂³	1	8	yes	—
389	#121	C₂³	1	8	yes	—
390	#121	C₂³	1	8	yes	—
391	#121	C₂³	1	8	yes	—
392	#120	C₂³	1	4	yes	—
393	#120	C₂³	1	8	yes	—
394	C₄×Q₈	C₂³	1	2	yes	—
395	C₄×Q₈	C₂³	1	2	yes	—
396	C₄×Q₈	C₂³	1	2	yes	—
397	C₄×Q₈	C₂³	1	2	yes	—
398	C₄×Q₈	C₂³	1	2	yes	—
399	C₄×Q₈	C₂³	1	2	yes	—
400	C₄×Q₈	C₂³	1	4	yes	—
401	C₄×Q₈	C₂³	1	2	yes	—
402	C₄×Q₈	C₂³	1	2	yes	—
403	C₄×Q₈	C₂³	1	2	yes	—
404	C₄×Q₈	C₂³	1	4	yes	—
405	C₄×Q₈	C₂³	1	2	yes	—
406	C₄×Q₈	C₂³	1	4	yes	—
407	C₄×Q₈	C₂³	1	4	yes	—
408	C₄×Q₈	C₂³	1	2	yes	—
409	C₄×Q₈	C₂³	1	2	yes	—
410	C₄×Q₈	C₂³	1	2	yes	—
411	C₄×Q₈	C₂³	1	2	yes	—
412	C₄×Q₈	C₂³	1	2	yes	—
413	C₄×Q₈	C₂³	1	2	yes	—
414	C₄×Q₈	C₂³	1	2	yes	—
415	C₄×Q₈	C₂³	1	2	yes	—
416	C₄×Q₈	C₂³	1	4	yes	—
417	C₄×Q₈	C₂³	1	4	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	8	yes	—
424	C₄×Q₈	C₂³	1	4	yes	—
425	C₄×Q₈	C₂³	1	4	yes	—
426	C₄×Q₈	C₂³	1	4	yes	—
427	C₄×Q₈	C₂³	1	8	yes	—
428	C₄×Q₈	C₂³	1	8	yes	—
429	C₄×D₄	C₂³	1	4	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	2	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	4	yes	—
438	C₄×D₄	C₂³	1	4	yes	—
439	C₄×D₄	C₂³	1	2	yes	—
440	C₄×D₄	C₂³	1	2	yes	—
441	C₄×D₄	C₂³	1	4	yes	—
442	C₄×D₄	C₂³	1	2	yes	—
443	C₄×D₄	C₂³	1	4	yes	—
444	C₄×D₄	C₂³	1	4	yes	—
445	C₄×D₄	C₂³	1	4	yes	—
446	C₄×D₄	C₂³	1	2	yes	—
447	C₄×D₄	C₂³	1	2	yes	—
448	C₄×D₄	C₂³	1	2	yes	—
449	C₄×D₄	C₂³	1	4	yes	—
450	C₄×D₄	C₂³	1	4	yes	—
451	C₄×D₄	C₂³	1	4	yes	—
452	C₄×D₄	C₂³	1	4	yes	—
453	C₄×D₄	C₂³	1	8	yes	—
454	C₄×D₄	C₂³	1	8	yes	—
455	C₄×D₄	C₂³	1	4	yes	—
456	C₄×D₄	C₂³	1	4	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	8	yes	—
461	C₄×D₄	C₂³	1	8	yes	—
462	C₄×D₄	C₂³	1	8	yes	—
463	C₄×D₄	C₂³	1	8	yes	—
464	#117	C₂³	1	2	yes	—
465	#117	C₂³	1	2	yes	—
466	#117	C₂³	1	4	yes	—
467	#117	C₂³	1	4	yes	—
468	#117	C₂³	1	4	yes	—
469	#117	C₂³	1	4	yes	—
470	#117	C₂³	1	4	yes	—
471	#117	C₂³	1	4	yes	—
472	#117	C₂³	1	2	yes	—
473	#117	C₂³	1	2	yes	—
474	#117	C₂³	1	2	yes	—
475	#117	C₂³	1	4	yes	—
476	#117	C₂³	1	2	yes	—
477	#117	C₂³	1	2	yes	—
478	#117	C₂³	1	4	yes	—
479	#117	C₂³	1	4	yes	—
480	#117	C₂³	1	8	yes	—
481	#117	C₂³	1	4	yes	—
482	#117	C₂³	1	8	yes	—
483	#117	C₂³	1	8	yes	—
484	#117	C₂³	1	4	yes	—
485	#117	C₂³	1	4	yes	—
486	#117	C₂³	1	8	yes	—
487	#117	C₂³	1	8	yes	—
488	#117	C₂³	1	8	yes	—
489	#117	C₂³	1	8	yes	—
490	C₂×C₄⋊C₄	C₂³	1	2	yes	—
491	C₂×C₄⋊C₄	C₂³	1	2	yes	—
492	C₂×C₄⋊C₄	C₂³	1	2	yes	—
493	C₂×C₄⋊C₄	C₂³	1	2	yes	—
494	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
495	C₂×C₄⋊C₄	C₂³	1	2	yes	—
496	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
497	C₂×C₄⋊C₄	C₂³	1	2	yes	—
498	C₂×C₄⋊C₄	C₂³	1	4	yes	—
499	C₂×C₄⋊C₄	C₂³	1	4	yes	—
500	C₂×C₄⋊C₄	C₂³	1	2	yes	—
501	C₂×C₄⋊C₄	C₂³	1	2	yes	—
502	C₂×C₄⋊C₄	C₂³	1	4	yes	—
503	C₂×C₄⋊C₄	C₂³	1	4	yes	—
504	C₂×C₄⋊C₄	C₂³	1	8	yes	—
505	C₂×C₄⋊C₄	C₂³	1	4	yes	—
506	C₂×C₄⋊C₄	C₂³	1	8	yes	—
507	C₂×C₄⋊C₄	C₂³	1	8	yes	—
508	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
509	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
510	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
511	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
512	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
513	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
514	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
515	C₂×C₄²	C₂³	1	1	yes	characteristic
516	C₂×C₄²	C₂³	1	2	yes	—
517	C₂×C₄²	C₂³	1	4	yes	—
518	C₂×C₄²	C₂³	1	1	yes	characteristic
519	C₂×C₄²	C₂³	1	1	yes	characteristic
520	C₂×C₄²	C₂³	1	1	yes	characteristic
521	C₂×C₄²	C₂³	1	1	yes	characteristic
522	C₂×C₄²	C₂³	1	4	yes	—
523	C₂×C₄²	C₂³	1	1	yes	characteristic
524	C₂×C₄²	C₂³	1	1	yes	characteristic
525	C₂×C₄²	C₂³	1	1	yes	characteristic
526	C₂×C₄²	C₂³	1	1	yes	characteristic
527	C₂×C₄²	C₂³	1	1	yes	characteristic
528	C₂×C₄²	C₂³	1	1	yes	characteristic
529	C₂×C₄²	C₂³	1	1	yes	characteristic
530	C₂⁴	C₂⁴	1	1	yes	characteristic
531	C₂⁴	C₂⁴	1	2	yes	—
532	#41	—	2	8	no	—
533	#41	—	4	4	no	—
534	#41	—	4	16	no	—
535	#41	—	4	8	no	—
536	#41	—	4	4	no	—
537	C₂×Q₈	—	2	4	no	—
538	C₂×Q₈	—	4	4	no	—
539	C₂×Q₈	—	4	4	no	—
540	C₂×Q₈	—	4	8	no	—
541	C₂×Q₈	C₂⁴	1	2	yes	—
542	C₂×Q₈	C₂⁴	1	2	yes	—
543	C₂×Q₈	C₂⁴	1	2	yes	—
544	C₂×Q₈	C₂⁴	1	2	yes	—
545	C₂×Q₈	C₂⁴	1	2	yes	—
546	C₂×Q₈	C₂⁴	1	2	yes	—
547	C₂×Q₈	C₂⁴	1	2	yes	—
548	C₂×Q₈	C₂⁴	1	8	yes	—
549	C₂×Q₈	C₂⁴	1	4	yes	—
550	C₂×Q₈	C₂⁴	1	4	yes	—
551	C₂×Q₈	C₂⁴	1	2	yes	—
552	C₂×Q₈	C₂⁴	1	8	yes	—
553	C₂×Q₈	C₂⁴	1	2	yes	—
554	C₂×D₄	—	2	4	no	—
555	C₂×D₄	—	4	4	no	—
556	C₂×D₄	C₂⁴	1	4	yes	—
557	C₂×D₄	C₂⁴	1	2	yes	—
558	C₂×D₄	C₂⁴	1	2	yes	—
559	C₂×D₄	C₂⁴	1	2	yes	—
560	C₂×D₄	C₂⁴	1	4	yes	—
561	C₂×D₄	C₂⁴	1	4	yes	—
562	C₂×D₄	C₂⁴	1	2	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	—	2	4	no	—
569	C₂²×C₄	—	4	2	no	—
570	C₂²×C₄	—	4	4	no	—
571	C₂²×C₄	—	4	2	no	—
572	C₂²×C₄	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄	C₂⁴	1	2	yes	—
583	C₂²×C₄	C₂⁴	1	4	yes	—
584	C₂²×C₄	C₂⁴	1	4	yes	—
585	C₂²×C₄	C₂⁴	1	4	yes	—
586	C₂²×C₄	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄	C₂⁴	1	1	yes	characteristic
589	C₂²×C₄	C₂⁴	1	1	yes	characteristic
590	C₂²×C₄	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄	C₂⁴	1	1	yes	characteristic
593	C₂²×C₄	C₂⁴	1	4	yes	—
594	C₂²×C₄	C₂⁴	1	2	yes	—
595	C₂²×C₄	C₂⁴	1	4	yes	—
596	C₂²×C₄	C₂⁴	1	4	yes	—
597	C₂²×C₄	C₂⁴	1	2	yes	—
598	C₂²×C₄	C₂⁴	1	8	yes	—
599	C₂²×C₄	C₂⁴	1	8	yes	—
600	C₂²×C₄	C₂⁴	1	8	yes	—
601	C₂²×C₄	C₂⁴	1	8	yes	—
602	C₂²×C₄	C₂⁴	1	4	yes	—
603	C₂²×C₄	C₂⁴	1	1	yes	characteristic
604	C₄⋊C₄	C₂⁴	1	2	yes	—
605	C₄⋊C₄	C₂⁴	1	2	yes	—
606	C₄⋊C₄	C₂⁴	1	2	yes	—
607	C₄⋊C₄	C₂⁴	1	2	yes	—
608	C₄⋊C₄	C₂⁴	1	4	yes	—
609	C₄⋊C₄	C₂⁴	1	4	yes	—
610	C₄⋊C₄	C₂⁴	1	4	yes	—
611	C₄⋊C₄	C₂⁴	1	2	yes	—
612	C₄⋊C₄	C₂⁴	1	4	yes	—
613	C₄⋊C₄	C₂⁴	1	4	yes	—
614	C₄⋊C₄	C₂⁴	1	2	yes	—
615	C₄⋊C₄	C₂⁴	1	4	yes	—
616	C₄⋊C₄	C₂⁴	1	8	yes	—
617	C₄⋊C₄	C₂⁴	1	8	yes	—
618	C₄⋊C₄	C₂⁴	1	2	yes	—
619	C₄⋊C₄	C₂⁴	1	2	yes	—
620	C₄⋊C₄	C₂⁴	1	4	yes	—
621	C₄⋊C₄	C₂⁴	1	2	yes	—
622	C₄⋊C₄	C₂⁴	1	4	yes	—
623	C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₄⋊C₄	C₂⁴	1	4	yes	—
626	C₄⋊C₄	C₂⁴	1	4	yes	—
627	C₄⋊C₄	C₂⁴	1	2	yes	—
628	C₄⋊C₄	C₂⁴	1	2	yes	—
629	C₄⋊C₄	C₂⁴	1	4	yes	—
630	C₄⋊C₄	C₂⁴	1	4	yes	—
631	C₄⋊C₄	C₂⁴	1	4	yes	—
632	C₄⋊C₄	C₂⁴	1	8	yes	—
633	C₄⋊C₄	C₂⁴	1	8	yes	—
634	C₄⋊C₄	C₂⁴	1	8	yes	—
635	C₄⋊C₄	C₂⁴	1	8	yes	—
636	C₄⋊C₄	C₂⁴	1	8	yes	—
637	C₄⋊C₄	C₂⁴	1	4	yes	—
638	C₄⋊C₄	C₂⁴	1	4	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	8	yes	—
648	C₄⋊C₄	C₂⁴	1	2	yes	—
649	C₄⋊C₄	C₂⁴	1	2	yes	—
650	C₄⋊C₄	C₂⁴	1	2	yes	—
651	C₄⋊C₄	C₂⁴	1	2	yes	—
652	C₄⋊C₄	C₂⁴	1	4	yes	—
653	C₄⋊C₄	C₂⁴	1	4	yes	—
654	C₄⋊C₄	C₂⁴	1	4	yes	—
655	C₄⋊C₄	C₂⁴	1	4	yes	—
656	C₄⋊C₄	C₂⁴	1	8	yes	—
657	C₄⋊C₄	C₂⁴	1	8	yes	—
658	C₄⋊C₄	C₂⁴	1	8	yes	—
659	C₄⋊C₄	C₂⁴	1	8	yes	—
660	C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
665	C₂²⋊C₄	C₂⁴	1	4	yes	—
666	C₂²⋊C₄	C₂⁴	1	4	yes	—
667	C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
672	C₂²⋊C₄	C₂⁴	1	8	yes	—
673	C₂²⋊C₄	C₂⁴	1	8	yes	—
674	C₂²⋊C₄	C₂⁴	1	4	yes	—
675	C₂²⋊C₄	C₂⁴	1	4	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	8	yes	—
681	C₂²⋊C₄	C₂⁴	1	8	yes	—
682	C₂²⋊C₄	C₂⁴	1	4	yes	—
683	C₂²⋊C₄	C₂⁴	1	8	yes	—
684	C₂²⋊C₄	C₂⁴	1	8	yes	—
685	C₂²⋊C₄	C₂⁴	1	4	yes	—
686	C₂²⋊C₄	C₂⁴	1	4	yes	—
687	C₂²⋊C₄	C₂⁴	1	4	yes	—
688	C₂²⋊C₄	C₂⁴	1	4	yes	—
689	C₂²⋊C₄	C₂⁴	1	8	yes	—
690	C₂²⋊C₄	C₂⁴	1	8	yes	—
691	C₄²	C₂⁴	1	1	yes	characteristic
692	C₄²	C₂⁴	1	1	yes	characteristic
693	C₄²	C₂⁴	1	1	yes	characteristic
694	C₄²	C₂⁴	1	1	yes	characteristic
695	C₄²	C₂⁴	1	1	yes	characteristic
696	C₄²	C₂⁴	1	1	yes	characteristic
697	C₄²	C₂⁴	1	1	yes	characteristic
698	C₄²	C₂⁴	1	1	yes	characteristic
699	C₄²	C₂⁴	1	1	yes	characteristic
700	C₄²	C₂⁴	1	1	yes	characteristic
701	C₄²	C₂⁴	1	1	yes	characteristic
702	C₄²	C₂⁴	1	1	yes	characteristic
703	C₄²	C₂⁴	1	1	yes	characteristic
704	C₄²	C₂⁴	1	1	yes	characteristic
705	C₄²	C₂⁴	1	1	yes	characteristic
706	C₄²	C₂⁴	1	1	yes	characteristic
707	C₄²	C₂⁴	1	4	yes	—
708	C₄²	C₂⁴	1	4	yes	—
709	C₄²	C₂⁴	1	4	yes	—
710	C₄²	C₂⁴	1	4	yes	—
711	C₄²	C₂⁴	1	4	yes	—
712	C₄²	C₂⁴	1	4	yes	—
713	C₄²	C₂⁴	1	4	yes	—
714	C₄²	C₂⁴	1	4	yes	—
715	C₄²	C₂⁴	1	4	yes	—
716	C₄²	C₂⁴	1	8	yes	—
717	C₄²	C₂⁴	1	8	yes	—
718	C₄²	C₂⁴	1	8	yes	—
719	C₄²	C₂⁴	1	8	yes	—
720	C₂³	—	2	2	no	—
721	C₂³	—	2	2	no	—
722	C₂³	—	2	4	no	—
723	C₂³	—	4	1	no	—
724	C₂³	—	4	2	no	—
725	C₂³	—	4	2	no	—
726	C₂³	C₂⁵	1	1	yes	characteristic
727	C₂³	C₂⁵	1	4	yes	—
728	C₂³	C₂⁵	1	4	yes	—
729	C₂³	C₂⁵	1	1	yes	characteristic
730	C₂³	C₂⁵	1	1	yes	characteristic
731	Q₈	—	2	4	no	—
732	Q₈	—	2	4	no	—
733	Q₈	—	2	4	no	—
734	Q₈	—	2	4	no	—
735	Q₈	—	2	4	no	—
736	Q₈	—	2	4	no	—
737	Q₈	—	4	2	no	—
738	Q₈	—	4	4	no	—
739	Q₈	—	4	8	no	—
740	Q₈	—	4	2	no	—
741	Q₈	—	4	4	no	—
742	Q₈	—	4	2	no	—
743	Q₈	—	4	8	no	—
744	D₄	—	2	8	no	—
745	D₄	—	2	8	no	—
746	D₄	—	2	8	no	—
747	D₄	—	2	4	no	—
748	D₄	—	2	4	no	—
749	D₄	—	2	4	no	—
750	D₄	—	2	4	no	—
751	D₄	—	4	4	no	—
752	D₄	—	4	2	no	—
753	D₄	—	4	8	no	—
754	D₄	—	4	8	no	—
755	D₄	—	4	4	no	—
756	C₂×C₄	—	2	2	no	—
757	C₂×C₄	—	2	4	no	—
758	C₂×C₄	—	2	2	no	—
759	C₂×C₄	—	2	2	no	—
760	C₂×C₄	—	2	8	no	—
761	C₂×C₄	—	2	2	no	—
762	C₂×C₄	—	2	2	no	—
763	C₂×C₄	—	2	2	no	—
764	C₂×C₄	—	2	2	no	—
765	C₂×C₄	—	2	8	no	—
766	C₂×C₄	—	2	2	no	—
767	C₂×C₄	—	2	2	no	—
768	C₂×C₄	—	2	8	no	—
769	C₂×C₄	—	2	2	no	—
770	C₂×C₄	—	4	1	no	—
771	C₂×C₄	—	4	4	no	—
772	C₂×C₄	—	4	1	no	—
773	C₂×C₄	—	4	1	no	—
774	C₂×C₄	—	4	1	no	—
775	C₂×C₄	—	4	1	no	—
776	C₂×C₄	—	4	2	no	—
777	C₂×C₄	—	4	1	no	—
778	C₂×C₄	—	4	1	no	—
779	C₂×C₄	—	4	2	no	—
780	C₂×C₄	—	4	4	no	—
781	C₂×C₄	—	4	8	no	—
782	C₂×C₄	—	4	4	no	—
783	C₂×C₄	—	4	4	no	—
784	C₂×C₄	—	4	8	no	—
785	C₂×C₄	—	4	8	no	—
786	C₂×C₄	—	4	8	no	—
787	C₂×C₄	2₋¹⁺⁴	1	4	yes	—
788	C₂×C₄	C₂⁵	1	1	yes	characteristic
789	C₂×C₄	C₂⁵	1	1	yes	characteristic
790	C₂×C₄	C₂⁵	1	1	yes	characteristic
791	C₂×C₄	C₂⁵	1	1	yes	characteristic
792	C₂×C₄	C₂⁵	1	4	yes	—
793	C₂×C₄	C₂⁵	1	4	yes	—
794	C₂×C₄	C₂⁵	1	4	yes	—
795	C₂×C₄	C₂⁵	1	1	yes	characteristic
796	C₂×C₄	C₂⁵	1	1	yes	characteristic
797	C₂×C₄	C₂⁵	1	1	yes	characteristic
798	C₂×C₄	C₂⁵	1	1	yes	characteristic
799	C₂×C₄	C₂⁵	1	4	yes	—
800	C₂×C₄	C₂⁵	1	4	yes	—
801	C₂×C₄	C₂⁵	1	4	yes	—
802	C₂×C₄	C₂⁵	1	1	yes	characteristic
803	C₂×C₄	C₂⁵	1	4	yes	—
804	C₂×C₄	C₂⁵	1	4	yes	—
805	C₂×C₄	C₂⁵	1	4	yes	—
806	C₂×C₄	C₂⁵	1	4	yes	—
807	C₂×C₄	C₂⁵	1	1	yes	characteristic
808	C₂×C₄	C₂⁵	1	1	yes	characteristic
809	C₂×C₄	C₂⁵	1	1	yes	characteristic
810	C₂²	—	2	1	no	—
811	C₂²	—	2	1	no	—
812	C₂²	—	2	1	no	—
813	C₂²	—	2	1	no	—
814	C₂²	—	2	1	no	—
815	C₂²	—	2	4	no	—
816	C₂²	—	2	4	no	—
817	C₂²	—	2	4	no	—
818	C₂²	—	2	1	no	—
819	C₂²	—	2	4	no	—
820	C₂²	—	2	4	no	—
821	C₂²	—	2	4	no	—
822	C₂²	—	2	1	no	—
823	C₂²	—	4	4	no	—
824	C₂²	—	8	4	no	—
825	C₂²	C₂×2₋¹⁺⁴	1	2	yes	—
826	C₂²	#585	1	2	yes	—
827	C₂²	C₂⁶	1	1	yes	characteristic
828	C₄	—	2	1	no	—
829	C₄	—	2	1	no	—
830	C₄	—	2	4	no	—
831	C₄	—	2	4	no	—
832	C₄	—	2	1	no	—
833	C₄	—	2	1	no	—
834	C₄	—	2	1	no	—
835	C₄	—	2	4	no	—
836	C₄	—	2	4	no	—
837	C₄	—	2	1	no	—
838	C₄	—	2	1	no	—
839	C₄	—	2	1	no	—
840	C₄	—	2	1	no	—
841	C₄	—	2	4	no	—
842	C₄	—	2	4	no	—
843	C₄	—	2	4	no	—
844	C₄	—	2	4	no	—
845	C₄	—	2	4	no	—
846	C₄	—	2	4	no	—
847	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
848	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
849	C₄	#585	1	2	yes	—
850	C₂	—	2	2	no	—
851	C₂	—	2	2	no	—
852	C₂	—	4	4	no	—
853	C₂	—	4	1	no	—
854	C₂	—	4	4	no	—
855	C₂	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
856	C₂	C₂×#585	1	1	yes	characteristic
857	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. #3557	C₂	semidirect
4. #3555	C₂	semidirect
5. #3554	C₂	semidirect
6. #3552	C₂	semidirect
7. #3544	C₂	semidirect
8. #3535	C₂	semidirect
9. #3523	C₂	semidirect
10. #3522	C₂	semidirect
11. #3520	C₂	semidirect
12. #3518	C₂	semidirect
13. #3515	C₂	semidirect
14. #3515	C₂	semidirect
15. #3510	C₂	semidirect
16. #3507	C₂	semidirect
17. #3507	C₂	semidirect
18. #3506	C₂	semidirect
19. #3504	C₂	semidirect
20. #3502	C₂	semidirect
21. #3501	C₂	semidirect
22. #3495	C₂	semidirect
23. #3495	C₂	semidirect
24. #3494	C₂	semidirect
25. #3444	C₂	semidirect
26. C₂×#533	C₂	semidirect
27. C₂×#529	C₂	semidirect
28. #563	C₂²	semidirect
29. #563	C₂²	semidirect
30. #563	C₂²	semidirect
31. #562	C₂²	semidirect
32. #559	C₂²	semidirect
33. #559	C₂²	semidirect
34. #559	C₂²	semidirect
35. #559	C₂²	semidirect
36. Q₈²	C₂²	semidirect
37. Q₈²	C₂²	semidirect
38. #557	C₂²	semidirect
39. #557	C₂²	semidirect
40. #557	C₂²	semidirect
41. #557	C₂²	semidirect
42. #557	C₂²	semidirect
43. #557	C₂²	semidirect
44. #557	C₂²	semidirect
45. #556	C₂²	semidirect
46. #556	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
55. #555	C₂²	semidirect
58. #554	C₂²	semidirect
59. #554	C₂²	semidirect
60. #554	C₂²	semidirect
61. #554	C₂²	semidirect
62. #554	C₂²	semidirect
63. #554	C₂²	semidirect
64. #554	C₂²	semidirect
65. #554	C₂²	semidirect
68. #553	C₂²	semidirect
70. #552	C₂²	semidirect
71. #552	C₂²	semidirect
72. #552	C₂²	semidirect
73. #552	C₂²	semidirect
74. #552	C₂²	semidirect
75. #552	C₂²	semidirect
76. #552	C₂²	semidirect
77. #552	C₂²	semidirect
78. #552	C₂²	semidirect
79. #552	C₂²	semidirect
84. #550	C₂²	semidirect
85. D₄×Q₈	C₂²	semidirect
86. D₄×Q₈	C₂²	semidirect
87. D₄×Q₈	C₂²	semidirect
88. #548	C₂²	semidirect
89. #548	C₂²	semidirect
91. #547	C₂²	semidirect
92. #547	C₂²	semidirect
93. #547	C₂²	semidirect
94. #547	C₂²	semidirect
99. #544	C₂²	semidirect
100. #544	C₂²	semidirect
101. #544	C₂²	semidirect
104. #542	C₂²	semidirect
105. #542	C₂²	semidirect
106. #542	C₂²	semidirect
107. #542	C₂²	semidirect
108. #542	C₂²	semidirect
109. #542	C₂²	semidirect
110. #542	C₂²	semidirect
111. #542	C₂²	semidirect
112. #541	C₂²	semidirect
113. #541	C₂²	semidirect
114. #541	C₂²	semidirect
115. #541	C₂²	semidirect
116. #541	C₂²	semidirect
119. #539	C₂²	semidirect
120. #539	C₂²	semidirect
121. #539	C₂²	semidirect
122. #539	C₂²	semidirect
123. #539	C₂²	semidirect
126. #536	C₂²	semidirect
127. #536	C₂²	semidirect
136. #533	C₂²	semidirect
137. #533	C₂²	semidirect
138. #533	C₂²	semidirect
139. #533	C₂²	semidirect
140. #533	C₂²	semidirect
141. #533	C₂²	semidirect
142. #533	C₂²	semidirect
143. #533	C₂²	semidirect
144. #533	C₂²	semidirect
147. #532	C₂²	semidirect
148. #532	C₂²	semidirect
149. C₂×C₄⋊Q₈	C₂²	semidirect
150. C₂×C₄⋊Q₈	C₂²	semidirect
163. #529	C₂²	semidirect
164. #529	C₂²	semidirect
165. #529	C₂²	semidirect
166. #529	C₂²	semidirect
167. #529	C₂²	semidirect
168. #529	C₂²	semidirect
169. #529	C₂²	semidirect
172. C₂×#125	C₂²	semidirect
173. C₂×#125	C₂²	semidirect
187. #520	C₂²	semidirect
188. #520	C₂²	semidirect
190. #519	C₂²	semidirect
193. C₄×#41	C₂²	semidirect
194. C₄×#41	C₂²	semidirect
196. C₂×C₄×Q₈	C₂²	semidirect
197. 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
#3557	2
#3555	2
#3554	2
#3552	2
#3544	2
#3535	2
#3523	2
#3522	2
#3520	2
#3518	2
#3515	2
#3510	2
#3507	2
#3506	2
#3504	2
#3502	2
#3501	2
#3495	2
#3494	2
#3444	2
C₂×#533	2
C₂×#529	2