Subgroups — #62729

Order 256.

3673 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3542	C₂	1	4	yes	maximal, complemented
2	#3541	C₂	1	4	yes	maximal, complemented
3	#3540	C₂	1	2	yes	maximal, complemented
4	#3539	C₂	1	2	yes	maximal, complemented
5	#3538	C₂	1	1	yes	maximal, characteristic, complemented
6	#3537	C₂	1	1	yes	maximal, characteristic, complemented
7	#3536	C₂	1	2	yes	maximal, complemented
8	#3535	C₂	1	4	yes	maximal, complemented
9	#3534	C₂	1	4	yes	maximal, complemented
10	#3533	C₂	1	4	yes	maximal, complemented
11	#3532	C₂	1	4	yes	maximal, complemented
12	#3529	C₂	1	4	yes	maximal, complemented
13	#3481	C₂	1	4	yes	maximal, complemented
14	#3475	C₂	1	4	yes	maximal, complemented
15	D₄×#41	C₂	1	4	yes	maximal, complemented
16	#3460	C₂	1	4	yes	maximal, complemented
17	#3459	C₂	1	4	yes	maximal, complemented
18	#3455	C₂	1	2	yes	maximal, complemented
19	#3449	C₂	1	2	yes	maximal, complemented
20	C₂×#525	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#525	C₂	1	2	yes	maximal, complemented
22	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#41	C₂²	1	2	yes	complemented
24	C₂²×#41	C₂²	1	2	yes	complemented
25	C₂⁴×C₄	C₂²	1	1	yes	characteristic, complemented
26	#563	C₂²	1	4	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	H(3,𝔽₄)	C₂²	1	4	yes	complemented
32	#560	C₂²	1	8	yes	complemented
33	#560	C₂²	1	4	yes	complemented
34	#560	C₂²	1	4	yes	complemented
35	#560	C₂²	1	8	yes	complemented
36	#559	C₂²	1	4	yes	complemented
37	#556	C₂²	1	4	yes	complemented
38	#555	C₂²	1	4	yes	complemented
39	#554	C₂²	1	4	yes	complemented
40	#554	C₂²	1	8	yes	complemented
41	#553	C₂²	1	4	yes	complemented
42	#553	C₂²	1	8	yes	complemented
43	#553	C₂²	1	4	yes	complemented
44	#553	C₂²	1	8	yes	complemented
45	#552	C₂²	1	8	yes	complemented
46	#552	C₂²	1	4	yes	complemented
47	#552	C₂²	1	4	yes	complemented
48	#551	C₂²	1	8	yes	complemented
49	#551	C₂²	1	4	yes	complemented
50	#551	C₂²	1	8	yes	complemented
51	#551	C₂²	1	8	yes	complemented
52	#551	C₂²	1	4	yes	complemented
53	#550	C₂²	1	4	yes	complemented
54	D₄×Q₈	C₂²	1	4	yes	complemented
55	#548	C₂²	1	4	yes	complemented
56	#548	C₂²	1	4	yes	complemented
57	#547	C₂²	1	8	yes	complemented
58	#547	C₂²	1	4	yes	complemented
59	#547	C₂²	1	4	yes	complemented
60	#546	C₂²	1	8	yes	complemented
61	#546	C₂²	1	8	yes	complemented
62	#546	C₂²	1	8	yes	complemented
63	#546	C₂²	1	4	yes	complemented
64	#546	C₂²	1	8	yes	complemented
65	#546	C₂²	1	8	yes	complemented
66	#546	C₂²	1	4	yes	complemented
67	D₄²	C₂²	1	8	yes	complemented
68	D₄²	C₂²	1	4	yes	complemented
69	D₄²	C₂²	1	4	yes	complemented
70	#544	C₂²	1	4	yes	complemented
71	#543	C₂²	1	4	yes	complemented
72	#542	C₂²	1	4	yes	complemented
73	#542	C₂²	1	4	yes	complemented
74	#542	C₂²	1	8	yes	complemented
75	#542	C₂²	1	8	yes	complemented
76	#541	C₂²	1	2	yes	complemented
77	#541	C₂²	1	2	yes	complemented
78	#540	C₂²	1	2	yes	complemented
79	#540	C₂²	1	2	yes	complemented
80	#540	C₂²	1	8	yes	complemented
81	#540	C₂²	1	8	yes	complemented
82	#539	C₂²	1	8	yes	complemented
83	#539	C₂²	1	4	yes	complemented
84	#539	C₂²	1	4	yes	complemented
85	#539	C₂²	1	8	yes	complemented
86	#539	C₂²	1	8	yes	complemented
87	#538	C₂²	1	8	yes	complemented
88	#538	C₂²	1	8	yes	complemented
89	#538	C₂²	1	8	yes	complemented
90	#538	C₂²	1	4	yes	complemented
91	#538	C₂²	1	4	yes	complemented
92	#538	C₂²	1	8	yes	complemented
93	#538	C₂²	1	8	yes	complemented
94	#537	C₂²	1	4	yes	complemented
95	#537	C₂²	1	4	yes	complemented
96	#537	C₂²	1	4	yes	complemented
97	#536	C₂²	1	4	yes	complemented
98	#536	C₂²	1	2	yes	complemented
99	#536	C₂²	1	2	yes	complemented
100	#535	C₂²	1	4	yes	complemented
101	#535	C₂²	1	8	yes	complemented
102	#535	C₂²	1	2	yes	complemented
103	#535	C₂²	1	2	yes	complemented
104	#534	C₂²	1	4	yes	complemented
105	#534	C₂²	1	8	yes	complemented
106	#534	C₂²	1	4	yes	complemented
107	#534	C₂²	1	4	yes	complemented
108	#533	C₂²	1	2	yes	complemented
109	#532	C₂²	1	2	yes	complemented
110	#532	C₂²	1	4	yes	complemented
111	#532	C₂²	1	4	yes	complemented
112	#532	C₂²	1	8	yes	complemented
113	#529	C₂²	1	8	yes	complemented
114	#529	C₂²	1	8	yes	complemented
115	#529	C₂²	1	8	yes	complemented
116	#529	C₂²	1	8	yes	complemented
117	#529	C₂²	1	8	yes	complemented
118	#525	C₂²	1	1	yes	characteristic
119	#525	C₂²	1	4	yes	complemented
120	#525	C₂²	1	2	yes	complemented
121	#525	C₂²	1	4	yes	complemented
122	#525	C₂²	1	2	yes	complemented
123	#525	C₂²	1	4	yes	complemented
124	#525	C₂²	1	2	yes	complemented
125	#525	C₂²	1	2	yes	complemented
126	#525	C₂²	1	4	yes	complemented
127	#525	C₂²	1	4	yes	complemented
128	#525	C₂²	1	4	yes	complemented
129	#525	C₂²	1	1	yes	characteristic, complemented
130	#525	C₂²	1	1	yes	characteristic, complemented
131	#525	C₂²	1	4	yes	complemented
132	#525	C₂²	1	1	yes	characteristic, complemented
133	#525	C₂²	1	4	yes	complemented
134	#525	C₂²	1	4	yes	complemented
135	#525	C₂²	1	4	yes	complemented
136	#525	C₂²	1	8	yes	complemented
137	#525	C₂²	1	4	yes	complemented
138	#525	C₂²	1	4	yes	complemented
139	#525	C₂²	1	8	yes	complemented
140	C₂×#123	C₂²	1	2	yes	complemented
141	C₂×#123	C₂²	1	4	yes	complemented
142	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
143	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
144	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
145	C₂×#121	C₂²	1	2	yes	complemented
146	C₂×#121	C₂²	1	2	yes	complemented
147	C₂×#121	C₂²	1	2	yes	complemented
148	C₂×#120	C₂²	1	2	yes	complemented
149	C₂×#120	C₂²	1	4	yes	complemented
150	C₄×#41	C₂²	1	4	yes	complemented
151	C₄×#41	C₂²	1	8	yes	complemented
152	C₂×C₄×D₄	C₂²	1	4	yes	complemented
153	C₂×C₄×D₄	C₂²	1	4	yes	complemented
154	C₂×C₄×D₄	C₂²	1	4	yes	complemented
155	C₂×C₄×D₄	C₂²	1	8	yes	complemented
156	C₂×#117	C₂²	1	1	yes	characteristic, complemented
157	C₂×#117	C₂²	1	2	yes	complemented
158	C₂×#117	C₂²	1	2	yes	complemented
159	C₂⁵	C₂³	1	1	yes	characteristic
160	C₂×#41	—	4	4	no	—
161	C₂×#41	—	4	8	no	—
162	C₂×#41	—	4	8	no	—
163	C₂×#41	C₂³	1	4	yes	—
164	C₂×#41	C₂³	1	8	yes	—
165	C₂×#41	C₂³	1	1	yes	characteristic
166	C₂×#41	C₂³	1	1	yes	characteristic
167	C₂×#41	C₂³	1	2	yes	—
168	C₂×#41	C₂³	1	4	yes	—
169	C₂×#41	C₂³	1	1	yes	characteristic
170	C₂×#41	C₂³	1	2	yes	—
171	C₂×#41	C₂³	1	1	yes	characteristic
172	C₂×#41	C₂³	1	4	yes	—
173	C₂×#41	C₂³	1	4	yes	—
174	C₂×#41	C₂³	1	4	yes	—
175	C₂×#41	C₂³	1	4	yes	complemented
176	C₂×#41	C₂³	1	4	yes	complemented
177	C₂²×Q₈	C₂³	1	1	yes	characteristic
178	C₂²×Q₈	C₂³	1	2	yes	—
179	C₂²×Q₈	C₂³	1	2	yes	complemented
180	C₂²×D₄	C₂³	1	4	yes	—
181	C₂²×D₄	C₂³	1	4	yes	—
182	C₂²×D₄	C₂³	1	4	yes	—
183	C₂²×D₄	C₂³	1	8	yes	—
184	C₂²×D₄	C₂³	1	2	yes	—
185	C₂²×D₄	C₂³	1	4	yes	—
186	C₂²×D₄	C₂³	1	1	yes	characteristic
187	C₂²×D₄	C₂³	1	2	yes	—
188	C₂²×D₄	C₂³	1	4	yes	—
189	C₂²×D₄	C₂³	1	2	yes	complemented
190	C₂³×C₄	—	4	4	no	—
191	C₂³×C₄	C₂³	1	2	yes	—
192	C₂³×C₄	C₂³	1	2	yes	—
193	C₂³×C₄	C₂³	1	1	yes	characteristic
194	C₂³×C₄	C₂³	1	1	yes	characteristic
195	C₂³×C₄	C₂³	1	4	yes	—
196	C₂³×C₄	C₂³	1	2	yes	—
197	C₂³×C₄	C₂³	1	1	yes	characteristic
198	C₂³×C₄	C₂³	1	2	yes	—
199	C₂³×C₄	C₂³	1	2	yes	—
200	C₂³×C₄	C₂³	1	1	yes	characteristic
201	C₂³×C₄	C₂³	1	1	yes	characteristic
202	C₂³×C₄	C₂³	1	1	yes	characteristic
203	C₂³×C₄	C₂³	1	4	yes	complemented
204	C₄⋊Q₈	C₂³	1	4	yes	complemented
205	C₄⋊Q₈	C₂³	1	4	yes	complemented
206	C₄⋊Q₈	C₂³	1	2	yes	complemented
207	C₄⋊Q₈	C₂³	1	8	yes	complemented
208	C₄⋊Q₈	C₂³	1	4	yes	complemented
209	#127	C₂³	1	4	yes	—
210	#127	C₂³	1	4	yes	—
211	#127	C₂³	1	8	yes	—
212	#127	C₂³	1	2	yes	complemented
213	#126	C₂³	1	8	yes	—
214	#126	C₂³	1	8	yes	—
215	#126	C₂³	1	8	yes	—
216	#126	C₂³	1	8	yes	—
217	#126	C₂³	1	8	yes	complemented
218	#126	C₂³	1	8	yes	complemented
219	#126	C₂³	1	8	yes	complemented
220	#126	C₂³	1	8	yes	complemented
221	#126	C₂³	1	8	yes	complemented
222	#126	C₂³	1	8	yes	complemented
223	#125	C₂³	1	8	yes	complemented
224	#125	C₂³	1	8	yes	complemented
225	#125	C₂³	1	8	yes	complemented
226	#125	C₂³	1	8	yes	complemented
227	#125	C₂³	1	8	yes	complemented
228	#125	C₂³	1	2	yes	complemented
229	#125	C₂³	1	2	yes	complemented
230	#124	C₂³	1	8	yes	—
231	#124	C₂³	1	8	yes	—
232	#124	C₂³	1	8	yes	—
233	#124	C₂³	1	8	yes	—
234	#124	C₂³	1	4	yes	—
235	#124	C₂³	1	4	yes	—
236	#124	C₂³	1	8	yes	—
237	#124	C₂³	1	8	yes	complemented
238	#124	C₂³	1	4	yes	complemented
239	#124	C₂³	1	4	yes	complemented
240	#124	C₂³	1	8	yes	complemented
241	#124	C₂³	1	4	yes	complemented
242	#123	C₂³	1	2	yes	—
243	#123	C₂³	1	8	yes	—
244	#123	C₂³	1	4	yes	—
245	#123	C₂³	1	8	yes	—
246	#123	C₂³	1	4	yes	—
247	#123	C₂³	1	8	yes	—
248	#123	C₂³	1	2	yes	—
249	#123	C₂³	1	2	yes	—
250	#123	C₂³	1	8	yes	—
251	#123	C₂³	1	2	yes	—
252	#123	C₂³	1	4	yes	—
253	#123	C₂³	1	8	yes	—
254	#123	C₂³	1	4	yes	—
255	#123	C₂³	1	8	yes	—
256	#123	C₂³	1	8	yes	—
257	#123	C₂³	1	8	yes	—
258	#123	C₂³	1	8	yes	—
259	#123	C₂³	1	8	yes	—
260	#123	C₂³	1	8	yes	—
261	#123	C₂³	1	8	yes	—
262	#123	C₂³	1	4	yes	complemented
263	#123	C₂³	1	4	yes	complemented
264	#123	C₂³	1	8	yes	complemented
265	#123	C₂³	1	8	yes	complemented
266	#123	C₂³	1	8	yes	complemented
267	#123	C₂³	1	8	yes	complemented
268	#123	C₂³	1	8	yes	complemented
269	#123	C₂³	1	8	yes	complemented
270	#123	C₂³	1	8	yes	complemented
271	C₂²⋊Q₈	C₂³	1	2	yes	—
272	C₂²⋊Q₈	C₂³	1	4	yes	—
273	C₂²⋊Q₈	C₂³	1	4	yes	—
274	C₂²⋊Q₈	C₂³	1	4	yes	—
275	C₂²⋊Q₈	C₂³	1	2	yes	—
276	C₂²⋊Q₈	C₂³	1	4	yes	—
277	C₂²⋊Q₈	C₂³	1	2	yes	—
278	C₂²⋊Q₈	C₂³	1	2	yes	—
279	C₂²⋊Q₈	C₂³	1	4	yes	—
280	C₂²⋊Q₈	C₂³	1	4	yes	—
281	C₂²⋊Q₈	C₂³	1	4	yes	—
282	C₂²⋊Q₈	C₂³	1	4	yes	—
283	C₂²⋊Q₈	C₂³	1	4	yes	—
284	C₂²⋊Q₈	C₂³	1	4	yes	—
285	C₂²⋊Q₈	C₂³	1	8	yes	—
286	C₂²⋊Q₈	C₂³	1	8	yes	—
287	C₂²⋊Q₈	C₂³	1	8	yes	—
288	C₂²⋊Q₈	C₂³	1	8	yes	complemented
289	C₂²⋊Q₈	C₂³	1	4	yes	complemented
290	C₂²⋊Q₈	C₂³	1	4	yes	complemented
291	C₂²⋊Q₈	C₂³	1	8	yes	complemented
292	C₂²⋊Q₈	C₂³	1	8	yes	complemented
293	C₂²⋊Q₈	C₂³	1	8	yes	complemented
294	C₂²⋊Q₈	C₂³	1	8	yes	complemented
295	C₂²⋊Q₈	C₂³	1	8	yes	complemented
296	C₂²⋊Q₈	C₂³	1	8	yes	complemented
297	C₂²⋊Q₈	C₂³	1	8	yes	complemented
298	C₂²⋊Q₈	C₂³	1	8	yes	complemented
299	#121	C₂³	1	2	yes	—
300	#121	C₂³	1	4	yes	—
301	#121	C₂³	1	4	yes	—
302	#121	C₂³	1	4	yes	—
303	#121	C₂³	1	2	yes	—
304	#121	C₂³	1	2	yes	—
305	#121	C₂³	1	4	yes	—
306	#121	C₂³	1	2	yes	—
307	#121	C₂³	1	4	yes	—
308	#121	C₂³	1	4	yes	—
309	#121	C₂³	1	4	yes	—
310	#121	C₂³	1	4	yes	—
311	#121	C₂³	1	4	yes	—
312	#121	C₂³	1	4	yes	—
313	#121	C₂³	1	8	yes	—
314	#121	C₂³	1	8	yes	—
315	#121	C₂³	1	8	yes	—
316	#121	C₂³	1	8	yes	—
317	#121	C₂³	1	8	yes	—
318	#121	C₂³	1	8	yes	—
319	#121	C₂³	1	8	yes	—
320	#121	C₂³	1	8	yes	—
321	#121	C₂³	1	8	yes	—
322	#121	C₂³	1	8	yes	—
323	#121	C₂³	1	8	yes	—
324	#121	C₂³	1	8	yes	—
325	#121	C₂³	1	8	yes	—
326	#121	C₂³	1	8	yes	—
327	#121	C₂³	1	8	yes	—
328	#121	C₂³	1	4	yes	complemented
329	#121	C₂³	1	4	yes	complemented
330	#121	C₂³	1	8	yes	complemented
331	#121	C₂³	1	8	yes	complemented
332	#121	C₂³	1	8	yes	complemented
333	#121	C₂³	1	8	yes	complemented
334	#121	C₂³	1	8	yes	complemented
335	#120	C₂³	1	2	yes	—
336	#120	C₂³	1	4	yes	—
337	#120	C₂³	1	8	yes	—
338	#120	C₂³	1	8	yes	—
339	#120	C₂³	1	4	yes	—
340	#120	C₂³	1	8	yes	—
341	#120	C₂³	1	2	yes	—
342	#120	C₂³	1	2	yes	—
343	#120	C₂³	1	8	yes	—
344	#120	C₂³	1	2	yes	—
345	#120	C₂³	1	4	yes	—
346	#120	C₂³	1	8	yes	—
347	#120	C₂³	1	4	yes	—
348	#120	C₂³	1	8	yes	—
349	#120	C₂³	1	8	yes	—
350	#120	C₂³	1	8	yes	—
351	#120	C₂³	1	4	yes	complemented
352	#120	C₂³	1	4	yes	complemented
353	#120	C₂³	1	8	yes	complemented
354	C₄×Q₈	C₂³	1	8	yes	complemented
355	C₄×Q₈	C₂³	1	4	yes	complemented
356	C₄×Q₈	C₂³	1	4	yes	complemented
357	C₄×Q₈	C₂³	1	8	yes	complemented
358	C₄×D₄	C₂³	1	4	yes	—
359	C₄×D₄	C₂³	1	8	yes	—
360	C₄×D₄	C₂³	1	4	yes	—
361	C₄×D₄	C₂³	1	4	yes	—
362	C₄×D₄	C₂³	1	4	yes	—
363	C₄×D₄	C₂³	1	8	yes	—
364	C₄×D₄	C₂³	1	8	yes	—
365	C₄×D₄	C₂³	1	8	yes	—
366	C₄×D₄	C₂³	1	4	yes	—
367	C₄×D₄	C₂³	1	8	yes	—
368	C₄×D₄	C₂³	1	8	yes	—
369	C₄×D₄	C₂³	1	4	yes	—
370	C₄×D₄	C₂³	1	4	yes	—
371	C₄×D₄	C₂³	1	8	yes	—
372	C₄×D₄	C₂³	1	4	yes	—
373	C₄×D₄	C₂³	1	8	yes	—
374	C₄×D₄	C₂³	1	8	yes	—
375	C₄×D₄	C₂³	1	8	yes	—
376	C₄×D₄	C₂³	1	8	yes	—
377	C₄×D₄	C₂³	1	8	yes	—
378	C₄×D₄	C₂³	1	8	yes	—
379	C₄×D₄	C₂³	1	8	yes	—
380	C₄×D₄	C₂³	1	8	yes	complemented
381	C₄×D₄	C₂³	1	8	yes	complemented
382	C₄×D₄	C₂³	1	8	yes	complemented
383	C₄×D₄	C₂³	1	8	yes	complemented
384	C₄×D₄	C₂³	1	8	yes	complemented
385	C₄×D₄	C₂³	1	8	yes	complemented
386	C₄×D₄	C₂³	1	4	yes	complemented
387	C₄×D₄	C₂³	1	4	yes	complemented
388	#117	C₂³	1	4	yes	—
389	#117	C₂³	1	1	yes	characteristic
390	#117	C₂³	1	2	yes	—
391	#117	C₂³	1	2	yes	—
392	#117	C₂³	1	4	yes	—
393	#117	C₂³	1	2	yes	—
394	#117	C₂³	1	1	yes	characteristic
395	#117	C₂³	1	4	yes	—
396	#117	C₂³	1	4	yes	—
397	#117	C₂³	1	4	yes	—
398	#117	C₂³	1	8	yes	—
399	#117	C₂³	1	4	yes	complemented
400	#117	C₂³	1	2	yes	complemented
401	#117	C₂³	1	2	yes	complemented
402	#117	C₂³	1	8	yes	complemented
403	#117	C₂³	1	8	yes	complemented
404	#117	C₂³	1	8	yes	complemented
405	C₂×C₄⋊C₄	C₂³	1	2	yes	—
406	C₂×C₄⋊C₄	C₂³	1	2	yes	—
407	C₂×C₄⋊C₄	C₂³	1	2	yes	—
408	C₂×C₄⋊C₄	C₂³	1	4	yes	—
409	C₂×C₄⋊C₄	C₂³	1	4	yes	—
410	C₂×C₄⋊C₄	C₂³	1	4	yes	—
411	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
412	C₂×C₄⋊C₄	C₂³	1	8	yes	complemented
413	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
414	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
415	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
416	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
417	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
418	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
419	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
420	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
421	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
422	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
423	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
424	C₂×C₄²	C₂³	1	4	yes	—
425	C₂×C₄²	C₂³	1	2	yes	—
426	C₂×C₄²	C₂³	1	4	yes	complemented
427	C₂×C₄²	C₂³	1	8	yes	complemented
428	C₂⁴	—	4	2	no	—
429	C₂⁴	—	4	4	no	—
430	C₂⁴	C₂⁴	1	2	yes	—
431	C₂⁴	C₂⁴	1	1	yes	characteristic
432	C₂⁴	C₂⁴	1	2	yes	—
433	C₂⁴	C₂⁴	1	4	yes	—
434	C₂⁴	C₂⁴	1	1	yes	characteristic
435	C₂⁴	C₂⁴	1	2	yes	—
436	C₂⁴	C₂⁴	1	4	yes	—
437	C₂⁴	C₂⁴	1	1	yes	characteristic
438	#41	—	2	16	no	—
439	#41	—	4	2	no	—
440	#41	—	4	4	no	—
441	#41	—	4	2	no	—
442	#41	—	4	4	no	—
443	#41	—	4	2	no	—
444	#41	—	4	2	no	—
445	#41	—	4	8	no	—
446	#41	—	4	8	no	—
447	#41	—	4	8	no	—
448	#41	—	4	8	no	—
449	#41	—	4	16	no	—
450	#41	—	4	8	no	—
451	#41	—	4	8	no	—
452	C₂×Q₈	—	4	2	no	—
453	C₂×Q₈	—	4	4	no	—
454	C₂×Q₈	—	4	4	no	—
455	C₂×Q₈	C₂⁴	1	4	yes	—
456	C₂×Q₈	C₂⁴	1	8	yes	—
457	C₂×Q₈	C₂⁴	1	1	yes	characteristic
458	C₂×Q₈	C₂⁴	1	2	yes	—
459	C₂×Q₈	C₂⁴	1	4	yes	—
460	C₂×Q₈	C₂⁴	1	1	yes	characteristic
461	C₂×Q₈	C₂⁴	1	4	yes	—
462	C₂×D₄	—	4	4	no	—
463	C₂×D₄	—	4	4	no	—
464	C₂×D₄	—	4	8	no	—
465	C₂×D₄	—	4	2	no	—
466	C₂×D₄	—	4	4	no	—
467	C₂×D₄	—	4	16	no	—
468	C₂×D₄	—	4	8	no	—
469	C₂×D₄	—	4	8	no	—
470	C₂×D₄	—	4	8	no	—
471	C₂×D₄	—	4	8	no	—
472	C₂×D₄	C₂⁴	1	4	yes	—
473	C₂×D₄	C₂⁴	1	8	yes	—
474	C₂×D₄	C₂⁴	1	4	yes	—
475	C₂×D₄	C₂⁴	1	8	yes	—
476	C₂×D₄	C₂⁴	1	4	yes	—
477	C₂×D₄	C₂⁴	1	4	yes	—
478	C₂×D₄	C₂⁴	1	8	yes	—
479	C₂×D₄	C₂⁴	1	8	yes	—
480	C₂×D₄	C₂⁴	1	8	yes	—
481	C₂×D₄	C₂⁴	1	4	yes	—
482	C₂×D₄	C₂⁴	1	8	yes	—
483	C₂×D₄	C₂⁴	1	8	yes	—
484	C₂×D₄	C₂⁴	1	8	yes	—
485	C₂×D₄	C₂⁴	1	2	yes	—
486	C₂×D₄	C₂⁴	1	2	yes	—
487	C₂×D₄	C₂⁴	1	8	yes	—
488	C₂×D₄	C₂⁴	1	2	yes	—
489	C₂×D₄	C₂⁴	1	2	yes	—
490	C₂×D₄	C₂⁴	1	4	yes	—
491	C₂×D₄	C₂⁴	1	8	yes	—
492	C₂×D₄	C₂⁴	1	1	yes	characteristic
493	C₂×D₄	C₂⁴	1	2	yes	—
494	C₂×D₄	C₂⁴	1	4	yes	—
495	C₂×D₄	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄	—	2	4	no	—
497	C₂²×C₄	—	2	8	no	—
498	C₂²×C₄	—	2	8	no	—
499	C₂²×C₄	—	4	2	no	—
500	C₂²×C₄	—	4	4	no	—
501	C₂²×C₄	—	4	2	no	—
502	C₂²×C₄	—	4	4	no	—
503	C₂²×C₄	—	4	2	no	—
504	C₂²×C₄	—	4	2	no	—
505	C₂²×C₄	—	4	8	no	—
506	C₂²×C₄	—	4	8	no	—
507	C₂²×C₄	—	4	4	no	—
508	C₂²×C₄	—	4	2	no	—
509	C₂²×C₄	C₂⁴	1	4	yes	—
510	C₂²×C₄	C₂⁴	1	2	yes	—
511	C₂²×C₄	C₂⁴	1	2	yes	—
512	C₂²×C₄	C₂⁴	1	2	yes	—
513	C₂²×C₄	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄	C₂⁴	1	2	yes	—
515	C₂²×C₄	C₂⁴	1	2	yes	—
516	C₂²×C₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄	C₂⁴	1	2	yes	—
519	C₂²×C₄	C₂⁴	1	2	yes	—
520	C₂²×C₄	C₂⁴	1	2	yes	—
521	C₂²×C₄	C₂⁴	1	8	yes	—
522	C₂²×C₄	C₂⁴	1	2	yes	—
523	C₂²×C₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄	C₂⁴	1	2	yes	—
526	C₂²×C₄	C₂⁴	1	4	yes	—
527	C₂²×C₄	C₂⁴	1	4	yes	—
528	C₂²×C₄	C₂⁴	1	8	yes	—
529	C₂²×C₄	C₂⁴	1	8	yes	—
530	C₂²×C₄	C₂⁴	1	8	yes	—
531	C₂²×C₄	C₂⁴	1	2	yes	—
532	C₂²×C₄	C₂⁴	1	4	yes	—
533	C₂²×C₄	C₂⁴	1	2	yes	—
534	C₂²×C₄	C₂⁴	1	8	yes	—
535	C₂²×C₄	C₂⁴	1	8	yes	—
536	C₂²×C₄	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄	C₂⁴	1	2	yes	—
538	C₂²×C₄	C₂⁴	1	2	yes	—
539	C₂²×C₄	C₂⁴	1	4	yes	—
540	C₂²×C₄	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄	C₂⁴	1	2	yes	—
542	C₂²×C₄	C₂⁴	1	1	yes	characteristic
543	C₄⋊C₄	C₂⁴	1	4	yes	—
544	C₄⋊C₄	C₂⁴	1	4	yes	—
545	C₄⋊C₄	C₂⁴	1	4	yes	—
546	C₄⋊C₄	C₂⁴	1	8	yes	—
547	C₄⋊C₄	C₂⁴	1	2	yes	—
548	C₄⋊C₄	C₂⁴	1	4	yes	—
549	C₄⋊C₄	C₂⁴	1	4	yes	—
550	C₄⋊C₄	C₂⁴	1	4	yes	—
551	C₄⋊C₄	C₂⁴	1	2	yes	—
552	C₄⋊C₄	C₂⁴	1	4	yes	—
553	C₄⋊C₄	C₂⁴	1	4	yes	—
554	C₄⋊C₄	C₂⁴	1	8	yes	—
555	C₄⋊C₄	C₂⁴	1	8	yes	—
556	C₄⋊C₄	C₂⁴	1	8	yes	—
557	C₄⋊C₄	C₂⁴	1	4	yes	—
558	C₄⋊C₄	C₂⁴	1	8	yes	—
559	C₄⋊C₄	C₂⁴	1	8	yes	—
560	C₄⋊C₄	C₂⁴	1	8	yes	—
561	C₄⋊C₄	C₂⁴	1	8	yes	—
562	C₄⋊C₄	C₂⁴	1	8	yes	—
563	C₄⋊C₄	C₂⁴	1	8	yes	—
564	C₄⋊C₄	C₂⁴	1	8	yes	—
565	C₄⋊C₄	C₂⁴	1	8	yes	—
566	C₄⋊C₄	C₂⁴	1	8	yes	—
567	C₂²⋊C₄	C₂⁴	1	4	yes	—
568	C₂²⋊C₄	C₂⁴	1	8	yes	—
569	C₂²⋊C₄	C₂⁴	1	8	yes	—
570	C₂²⋊C₄	C₂⁴	1	4	yes	—
571	C₂²⋊C₄	C₂⁴	1	8	yes	—
572	C₂²⋊C₄	C₂⁴	1	4	yes	—
573	C₂²⋊C₄	C₂⁴	1	2	yes	—
574	C₂²⋊C₄	C₂⁴	1	4	yes	—
575	C₂²⋊C₄	C₂⁴	1	8	yes	—
576	C₂²⋊C₄	C₂⁴	1	2	yes	—
577	C₂²⋊C₄	C₂⁴	1	4	yes	—
578	C₂²⋊C₄	C₂⁴	1	4	yes	—
579	C₂²⋊C₄	C₂⁴	1	4	yes	—
580	C₂²⋊C₄	C₂⁴	1	4	yes	—
581	C₂²⋊C₄	C₂⁴	1	8	yes	—
582	C₂²⋊C₄	C₂⁴	1	8	yes	—
583	C₂²⋊C₄	C₂⁴	1	8	yes	—
584	C₂²⋊C₄	C₂⁴	1	4	yes	—
585	C₂²⋊C₄	C₂⁴	1	4	yes	—
586	C₂²⋊C₄	C₂⁴	1	8	yes	—
587	C₂²⋊C₄	C₂⁴	1	8	yes	—
588	C₂²⋊C₄	C₂⁴	1	8	yes	—
589	C₂²⋊C₄	C₂⁴	1	4	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	8	yes	—
594	C₂²⋊C₄	C₂⁴	1	8	yes	—
595	C₂²⋊C₄	C₂⁴	1	8	yes	—
596	C₂²⋊C₄	C₂⁴	1	8	yes	—
597	C₂²⋊C₄	C₂⁴	1	8	yes	—
598	C₄²	C₂⁴	1	8	yes	—
599	C₄²	C₂⁴	1	2	yes	—
600	C₄²	C₂⁴	1	2	yes	—
601	C₄²	C₂⁴	1	4	yes	—
602	C₄²	C₂⁴	1	8	yes	—
603	C₄²	C₂⁴	1	4	yes	—
604	C₄²	C₂⁴	1	8	yes	—
605	C₄²	C₂⁴	1	4	yes	—
606	C₄²	C₂⁴	1	8	yes	—
607	C₂³	—	2	4	no	—
608	C₂³	—	2	2	no	—
609	C₂³	—	2	4	no	—
610	C₂³	—	2	4	no	—
611	C₂³	—	2	4	no	—
612	C₂³	—	2	4	no	—
613	C₂³	—	2	8	no	—
614	C₂³	—	4	1	no	—
615	C₂³	—	4	2	no	—
616	C₂³	—	4	1	no	—
617	C₂³	—	4	2	no	—
618	C₂³	—	4	2	no	—
619	C₂³	—	4	2	no	—
620	C₂³	—	4	2	no	—
621	C₂³	—	4	4	no	—
622	C₂³	—	4	4	no	—
623	C₂³	—	4	4	no	—
624	C₂³	—	4	4	no	—
625	C₂³	—	4	8	no	—
626	C₂³	—	4	16	no	—
627	C₂³	C₂⁵	1	2	yes	—
628	C₂³	C₂⁵	1	1	yes	characteristic
629	C₂³	C₂⁵	1	2	yes	—
630	C₂³	C₂⁵	1	1	yes	characteristic
631	C₂³	C₂⁵	1	8	yes	—
632	C₂³	C₂⁵	1	2	yes	—
633	C₂³	C₂⁵	1	1	yes	characteristic
634	C₂³	C₂⁵	1	2	yes	—
635	Q₈	—	2	8	no	—
636	Q₈	—	4	1	no	—
637	Q₈	—	4	2	no	—
638	Q₈	—	4	1	no	—
639	Q₈	—	4	4	no	—
640	Q₈	—	4	4	no	—
641	Q₈	—	4	8	no	—
642	D₄	—	2	16	no	—
643	D₄	—	2	8	no	—
644	D₄	—	2	16	no	—
645	D₄	—	2	8	no	—
646	D₄	—	2	8	no	—
647	D₄	—	4	8	no	—
648	D₄	—	4	8	no	—
649	D₄	—	4	4	no	—
650	D₄	—	4	8	no	—
651	D₄	—	4	8	no	—
652	D₄	—	4	8	no	—
653	D₄	—	4	4	no	—
654	D₄	—	4	2	no	—
655	D₄	—	4	1	no	—
656	D₄	—	4	2	no	—
657	D₄	—	4	2	no	—
658	D₄	—	4	1	no	—
659	D₄	—	4	4	no	—
660	D₄	—	4	2	no	—
661	D₄	—	4	2	no	—
662	D₄	—	4	4	no	—
663	D₄	—	4	8	no	—
664	D₄	—	4	8	no	—
665	D₄	—	4	8	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	4	no	—
668	C₂×C₄	—	2	4	no	—
669	C₂×C₄	—	2	8	no	—
670	C₂×C₄	—	2	4	no	—
671	C₂×C₄	—	2	4	no	—
672	C₂×C₄	—	2	4	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	4	no	—
676	C₂×C₄	—	2	4	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	4	no	—
680	C₂×C₄	—	2	4	no	—
681	C₂×C₄	—	2	4	no	—
682	C₂×C₄	—	2	16	no	—
683	C₂×C₄	—	4	1	no	—
684	C₂×C₄	—	4	2	no	—
685	C₂×C₄	—	4	2	no	—
686	C₂×C₄	—	4	2	no	—
687	C₂×C₄	—	4	2	no	—
688	C₂×C₄	—	4	2	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	4	no	—
691	C₂×C₄	—	4	4	no	—
692	C₂×C₄	—	4	8	no	—
693	C₂×C₄	—	4	8	no	—
694	C₂×C₄	—	4	8	no	—
695	C₂×C₄	—	4	4	no	—
696	C₂×C₄	—	4	4	no	—
697	C₂×C₄	—	4	8	no	—
698	C₂×C₄	—	4	8	no	—
699	C₂×C₄	H(5,𝔽₂)	1	4	yes	—
700	C₂×C₄	C₂⁵	1	4	yes	—
701	C₂×C₄	C₂⁵	1	8	yes	—
702	C₂×C₄	C₂⁵	1	8	yes	—
703	C₂×C₄	C₂⁵	1	4	yes	—
704	C₂×C₄	C₂⁵	1	2	yes	—
705	C₂×C₄	C₂⁵	1	2	yes	—
706	C₂×C₄	C₂⁵	1	8	yes	—
707	C₂×C₄	C₂⁵	1	2	yes	—
708	C₂×C₄	C₂⁵	1	2	yes	—
709	C₂×C₄	C₂⁵	1	1	yes	characteristic
710	C₂×C₄	C₂⁵	1	1	yes	characteristic
711	C₂×C₄	C₂⁵	1	1	yes	characteristic
712	C₂×C₄	C₂⁵	1	1	yes	characteristic
713	C₂²	—	2	2	no	—
714	C₂²	—	2	2	no	—
715	C₂²	—	2	2	no	—
716	C₂²	—	2	2	no	—
717	C₂²	—	2	1	no	—
718	C₂²	—	2	1	no	—
719	C₂²	—	2	2	no	—
720	C₂²	—	2	2	no	—
721	C₂²	—	2	8	no	—
722	C₂²	—	2	4	no	—
723	C₂²	—	2	8	no	—
724	C₂²	—	2	8	no	—
725	C₂²	—	2	4	no	—
726	C₂²	—	2	2	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	2	no	—
729	C₂²	—	2	2	no	—
730	C₂²	—	4	8	no	—
731	C₂²	—	4	4	no	—
732	C₂²	—	4	4	no	—
733	C₂²	—	4	8	no	—
734	C₂²	—	4	4	no	—
735	C₂²	—	8	4	no	—
736	C₂²	—	8	8	no	—
737	C₂²	—	8	8	no	—
738	C₂²	C₂×H(5,𝔽₂)	1	2	yes	—
739	C₂²	#585	1	4	yes	—
740	C₂²	C₂⁶	1	1	yes	characteristic
741	C₄	—	2	2	no	—
742	C₄	—	2	1	no	—
743	C₄	—	2	1	no	—
744	C₄	—	2	2	no	—
745	C₄	—	2	2	no	—
746	C₄	—	2	2	no	—
747	C₄	—	2	8	no	—
748	C₄	—	2	8	no	—
749	C₄	—	2	4	no	—
750	C₄	—	2	8	no	—
751	C₄	—	2	4	no	—
752	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
753	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
754	C₂	—	2	2	no	—
755	C₂	—	2	4	no	—
756	C₂	—	4	2	no	—
757	C₂	—	4	1	no	—
758	C₂	—	4	1	no	—
759	C₂	—	4	2	no	—
760	C₂	—	4	8	no	—
761	C₂	—	4	2	no	—
762	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
763	C₂	C₂×#585	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. #3542	C₂	semidirect
2. #3541	C₂	semidirect
3. #3540	C₂	semidirect
4. #3539	C₂	semidirect
5. #3538	C₂	semidirect
6. #3537	C₂	semidirect
7. #3536	C₂	semidirect
8. #3535	C₂	semidirect
9. #3534	C₂	semidirect
10. #3533	C₂	semidirect
11. #3532	C₂	semidirect
12. #3529	C₂	semidirect
13. #3481	C₂	semidirect
14. #3475	C₂	semidirect
15. D₄×#41	C₂	semidirect
16. #3460	C₂	semidirect
17. #3459	C₂	semidirect
18. #3455	C₂	semidirect
19. #3449	C₂	semidirect
20. C₂×#525	C₂	semidirect
21. C₂×#525	C₂	semidirect
22. C₂²×#41	C₂²	semidirect
23. C₂²×#41	C₂²	semidirect
24. C₂²×#41	C₂²	semidirect
25. C₂⁴×C₄	C₂²	semidirect
26. #563	C₂²	semidirect
27. #563	C₂²	semidirect
28. #562	C₂²	semidirect
29. #562	C₂²	semidirect
30. #562	C₂²	semidirect
31. H(3,𝔽₄)	C₂²	semidirect
32. #560	C₂²	semidirect
33. #560	C₂²	semidirect
34. #560	C₂²	semidirect
35. #560	C₂²	semidirect
36. #559	C₂²	semidirect
37. #556	C₂²	semidirect
38. #555	C₂²	semidirect
39. #554	C₂²	semidirect
40. #554	C₂²	semidirect
41. #553	C₂²	semidirect
42. #553	C₂²	semidirect
43. #553	C₂²	semidirect
44. #553	C₂²	semidirect
45. #552	C₂²	semidirect
46. #552	C₂²	semidirect
47. #552	C₂²	semidirect
48. #551	C₂²	semidirect
49. #551	C₂²	semidirect
50. #551	C₂²	semidirect
51. #551	C₂²	semidirect
52. #551	C₂²	semidirect
53. #550	C₂²	semidirect
54. D₄×Q₈	C₂²	semidirect
55. #548	C₂²	semidirect
56. #548	C₂²	semidirect
57. #547	C₂²	semidirect
58. #547	C₂²	semidirect
59. #547	C₂²	semidirect
60. #546	C₂²	semidirect
61. #546	C₂²	semidirect
62. #546	C₂²	semidirect
63. #546	C₂²	semidirect
64. #546	C₂²	semidirect
65. #546	C₂²	semidirect
66. #546	C₂²	semidirect
67. D₄²	C₂²	semidirect
68. D₄²	C₂²	semidirect
69. D₄²	C₂²	semidirect
70. #544	C₂²	semidirect
71. #543	C₂²	semidirect
72. #542	C₂²	semidirect
73. #542	C₂²	semidirect
74. #542	C₂²	semidirect
75. #542	C₂²	semidirect
76. #541	C₂²	semidirect
77. #541	C₂²	semidirect
78. #540	C₂²	semidirect
79. #540	C₂²	semidirect
80. #540	C₂²	semidirect
81. #540	C₂²	semidirect
82. #539	C₂²	semidirect
83. #539	C₂²	semidirect
84. #539	C₂²	semidirect
85. #539	C₂²	semidirect
86. #539	C₂²	semidirect
87. #538	C₂²	semidirect
88. #538	C₂²	semidirect
89. #538	C₂²	semidirect
90. #538	C₂²	semidirect
91. #538	C₂²	semidirect
92. #538	C₂²	semidirect
93. #538	C₂²	semidirect
94. #537	C₂²	semidirect
95. #537	C₂²	semidirect
96. #537	C₂²	semidirect
97. #536	C₂²	semidirect
98. #536	C₂²	semidirect
99. #536	C₂²	semidirect
100. #535	C₂²	semidirect
101. #535	C₂²	semidirect
102. #535	C₂²	semidirect
103. #535	C₂²	semidirect
104. #534	C₂²	semidirect
105. #534	C₂²	semidirect
106. #534	C₂²	semidirect
107. #534	C₂²	semidirect
108. #533	C₂²	semidirect
109. #532	C₂²	semidirect
110. #532	C₂²	semidirect
111. #532	C₂²	semidirect
112. #532	C₂²	semidirect
113. #529	C₂²	semidirect
114. #529	C₂²	semidirect
115. #529	C₂²	semidirect
116. #529	C₂²	semidirect
117. #529	C₂²	semidirect
119. #525	C₂²	semidirect
120. #525	C₂²	semidirect
121. #525	C₂²	semidirect
122. #525	C₂²	semidirect
123. #525	C₂²	semidirect
124. #525	C₂²	semidirect
125. #525	C₂²	semidirect
126. #525	C₂²	semidirect
127. #525	C₂²	semidirect
128. #525	C₂²	semidirect
129. #525	C₂²	semidirect
130. #525	C₂²	semidirect
131. #525	C₂²	semidirect
132. #525	C₂²	semidirect
133. #525	C₂²	semidirect
134. #525	C₂²	semidirect
135. #525	C₂²	semidirect
136. #525	C₂²	semidirect
137. #525	C₂²	semidirect
138. #525	C₂²	semidirect
139. #525	C₂²	semidirect
140. C₂×#123	C₂²	semidirect
141. C₂×#123	C₂²	semidirect
142. C₂×C₂²⋊Q₈	C₂²	semidirect
143. C₂×C₂²⋊Q₈	C₂²	semidirect
144. C₂×C₂²⋊Q₈	C₂²	semidirect
145. C₂×#121	C₂²	semidirect
146. C₂×#121	C₂²	semidirect
147. C₂×#121	C₂²	semidirect
148. C₂×#120	C₂²	semidirect
149. C₂×#120	C₂²	semidirect
150. C₄×#41	C₂²	semidirect
151. C₄×#41	C₂²	semidirect
152. C₂×C₄×D₄	C₂²	semidirect
153. C₂×C₄×D₄	C₂²	semidirect
154. C₂×C₄×D₄	C₂²	semidirect
155. C₂×C₄×D₄	C₂²	semidirect
156. C₂×#117	C₂²	semidirect
157. C₂×#117	C₂²	semidirect
158. C₂×#117	C₂²	semidirect
175. C₂×#41	C₂³	semidirect
176. C₂×#41	C₂³	semidirect
179. C₂²×Q₈	C₂³	semidirect
189. C₂²×D₄	C₂³	semidirect
203. C₂³×C₄	C₂³	semidirect
204. C₄⋊Q₈	C₂³	semidirect
205. C₄⋊Q₈	C₂³	semidirect
206. C₄⋊Q₈	C₂³	semidirect
207. C₄⋊Q₈	C₂³	semidirect
208. C₄⋊Q₈	C₂³	semidirect
212. #127	C₂³	semidirect
217. #126	C₂³	semidirect
218. #126	C₂³	semidirect
219. #126	C₂³	semidirect
220. #126	C₂³	semidirect
221. #126	C₂³	semidirect
222. #126	C₂³	semidirect
223. #125	C₂³	semidirect
224. #125	C₂³	semidirect
225. #125	C₂³	semidirect
226. #125	C₂³	semidirect
227. #125	C₂³	semidirect
228. #125	C₂³	semidirect
229. #125	C₂³	semidirect
237. #124	C₂³	semidirect
238. #124	C₂³	semidirect
239. #124	C₂³	semidirect
240. #124	C₂³	semidirect
241. #124	C₂³	semidirect
262. #123	C₂³	semidirect
263. #123	C₂³	semidirect
264. #123	C₂³	semidirect
265. #123	C₂³	semidirect
266. #123	C₂³	semidirect
267. #123	C₂³	semidirect
268. #123	C₂³	semidirect
269. #123	C₂³	semidirect
270. #123	C₂³	semidirect
288. C₂²⋊Q₈	C₂³	semidirect
289. C₂²⋊Q₈	C₂³	semidirect
290. C₂²⋊Q₈	C₂³	semidirect
291. C₂²⋊Q₈	C₂³	semidirect
292. C₂²⋊Q₈	C₂³	semidirect
293. C₂²⋊Q₈	C₂³	semidirect
294. C₂²⋊Q₈	C₂³	semidirect
295. C₂²⋊Q₈	C₂³	semidirect
296. C₂²⋊Q₈	C₂³	semidirect
297. C₂²⋊Q₈	C₂³	semidirect
298. C₂²⋊Q₈	C₂³	semidirect
328. #121	C₂³	semidirect
329. #121	C₂³	semidirect
330. #121	C₂³	semidirect
331. #121	C₂³	semidirect
332. #121	C₂³	semidirect
333. #121	C₂³	semidirect
334. #121	C₂³	semidirect
351. #120	C₂³	semidirect
352. #120	C₂³	semidirect
353. #120	C₂³	semidirect
354. C₄×Q₈	C₂³	semidirect
355. C₄×Q₈	C₂³	semidirect
356. C₄×Q₈	C₂³	semidirect
357. C₄×Q₈	C₂³	semidirect
380. C₄×D₄	C₂³	semidirect
381. C₄×D₄	C₂³	semidirect
382. C₄×D₄	C₂³	semidirect
383. C₄×D₄	C₂³	semidirect
384. C₄×D₄	C₂³	semidirect
385. C₄×D₄	C₂³	semidirect
386. C₄×D₄	C₂³	semidirect
387. C₄×D₄	C₂³	semidirect
399. #117	C₂³	semidirect
400. #117	C₂³	semidirect
401. #117	C₂³	semidirect
402. #117	C₂³	semidirect
403. #117	C₂³	semidirect
404. #117	C₂³	semidirect
411. C₂×C₄⋊C₄	C₂³	semidirect
412. C₂×C₄⋊C₄	C₂³	semidirect
423. C₂×C₂²⋊C₄	C₂³	semidirect
426. C₂×C₄²	C₂³	semidirect
427. C₂×C₄²	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#3542	2
#3541	2
#3540	2
#3539	2
#3538	2
#3537	2
#3536	2
#3535	2
#3534	2
#3533	2
#3532	2
#3529	2
#3481	2
#3475	2
D₄×#41	2
#3460	2
#3459	2
#3455	2
#3449	2
C₂×#525	2