Subgroups — #62892

Order 256.

4079 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3558	C₂	1	2	yes	maximal, complemented
2	#3543	C₂	1	4	yes	maximal, complemented
3	#3542	C₂	1	4	yes	maximal, complemented
4	#3537	C₂	1	4	yes	maximal, complemented
5	#3537	C₂	1	2	yes	maximal, complemented
6	#3534	C₂	1	8	yes	maximal, complemented
7	#3534	C₂	1	4	yes	maximal, complemented
8	#3532	C₂	1	8	yes	maximal, complemented
9	#3519	C₂	1	2	yes	maximal, complemented
10	#3513	C₂	1	4	yes	maximal, complemented
11	#3505	C₂	1	2	yes	maximal, complemented
12	#3496	C₂	1	1	yes	maximal, characteristic, complemented
13	#3490	C₂	1	2	yes	maximal, complemented
14	#3488	C₂	1	2	yes	maximal, complemented
15	#3484	C₂	1	4	yes	maximal, complemented
16	#3484	C₂	1	4	yes	maximal, complemented
17	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×D₄²	C₂	1	2	yes	maximal, complemented
19	#3459	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#534	C₂	1	2	yes	maximal, complemented
21	C₂×H(5,𝔽₂)	C₂²	1	2	yes	complemented
22	C₂×H(5,𝔽₂)	C₂²	1	2	yes	complemented
23	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
24	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
25	C₂³×D₄	C₂²	1	4	yes	complemented
26	C₂³×D₄	C₂²	1	2	yes	complemented
27	#562	C₂²	1	8	yes	complemented
28	#562	C₂²	1	4	yes	complemented
29	H(3,𝔽₄)	C₂²	1	4	yes	complemented
30	#560	C₂²	1	8	yes	complemented
31	#560	C₂²	1	8	yes	complemented
32	#560	C₂²	1	8	yes	complemented
33	#560	C₂²	1	8	yes	complemented
34	#559	C₂²	1	4	yes	complemented
35	#555	C₂²	1	2	yes	complemented
36	#554	C₂²	1	2	yes	complemented
37	#553	C₂²	1	8	yes	complemented
38	#553	C₂²	1	4	yes	complemented
39	#553	C₂²	1	4	yes	complemented
40	#553	C₂²	1	8	yes	complemented
41	#553	C₂²	1	4	yes	complemented
42	#552	C₂²	1	4	yes	complemented
43	#551	C₂²	1	8	yes	complemented
44	#551	C₂²	1	8	yes	complemented
45	#551	C₂²	1	8	yes	complemented
46	#551	C₂²	1	8	yes	complemented
47	#550	C₂²	1	4	yes	complemented
48	#550	C₂²	1	2	yes	complemented
49	#548	C₂²	1	4	yes	complemented
50	#547	C₂²	1	4	yes	complemented
51	#546	C₂²	1	4	yes	complemented
52	#546	C₂²	1	4	yes	complemented
53	#546	C₂²	1	4	yes	complemented
54	#546	C₂²	1	8	yes	complemented
55	#546	C₂²	1	8	yes	complemented
56	#546	C₂²	1	8	yes	complemented
57	#546	C₂²	1	8	yes	complemented
58	#546	C₂²	1	8	yes	complemented
59	#546	C₂²	1	4	yes	complemented
60	#546	C₂²	1	8	yes	complemented
61	#546	C₂²	1	8	yes	complemented
62	#546	C₂²	1	4	yes	complemented
63	#546	C₂²	1	8	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	4	yes	complemented
68	D₄²	C₂²	1	8	yes	complemented
69	D₄²	C₂²	1	4	yes	complemented
70	D₄²	C₂²	1	4	yes	complemented
71	D₄²	C₂²	1	2	yes	complemented
72	D₄²	C₂²	1	8	yes	complemented
73	D₄²	C₂²	1	8	yes	complemented
74	D₄²	C₂²	1	8	yes	complemented
75	D₄²	C₂²	1	8	yes	complemented
76	D₄²	C₂²	1	4	yes	complemented
77	D₄²	C₂²	1	4	yes	complemented
78	D₄²	C₂²	1	4	yes	complemented
79	D₄²	C₂²	1	8	yes	complemented
80	D₄²	C₂²	1	8	yes	complemented
81	#543	C₂²	1	1	yes	characteristic, complemented
82	#542	C₂²	1	4	yes	complemented
83	#540	C₂²	1	4	yes	complemented
84	#540	C₂²	1	4	yes	complemented
85	#540	C₂²	1	8	yes	complemented
86	#540	C₂²	1	8	yes	complemented
87	#539	C₂²	1	4	yes	complemented
88	#539	C₂²	1	2	yes	complemented
89	#539	C₂²	1	4	yes	complemented
90	#539	C₂²	1	8	yes	complemented
91	#538	C₂²	1	4	yes	complemented
92	#538	C₂²	1	8	yes	complemented
93	#538	C₂²	1	2	yes	complemented
94	#538	C₂²	1	4	yes	complemented
95	#538	C₂²	1	4	yes	complemented
96	#538	C₂²	1	4	yes	complemented
97	#538	C₂²	1	8	yes	complemented
98	#538	C₂²	1	8	yes	complemented
99	#538	C₂²	1	8	yes	complemented
100	#538	C₂²	1	4	yes	complemented
101	#537	C₂²	1	4	yes	complemented
102	#537	C₂²	1	2	yes	complemented
103	#537	C₂²	1	2	yes	complemented
104	#535	C₂²	1	8	yes	complemented
105	#535	C₂²	1	4	yes	complemented
106	#535	C₂²	1	4	yes	complemented
107	#535	C₂²	1	4	yes	complemented
108	#535	C₂²	1	2	yes	complemented
109	#535	C₂²	1	8	yes	complemented
110	#534	C₂²	1	1	yes	characteristic, complemented
111	#534	C₂²	1	4	yes	complemented
112	#534	C₂²	1	2	yes	complemented
113	#534	C₂²	1	2	yes	complemented
114	#534	C₂²	1	8	yes	complemented
115	#534	C₂²	1	8	yes	complemented
116	#534	C₂²	1	8	yes	complemented
117	#534	C₂²	1	8	yes	complemented
118	#534	C₂²	1	4	yes	complemented
119	#534	C₂²	1	4	yes	complemented
120	#534	C₂²	1	8	yes	complemented
121	#534	C₂²	1	2	yes	complemented
122	#534	C₂²	1	4	yes	complemented
123	#532	C₂²	1	2	yes	complemented
124	C₂×#127	C₂²	1	2	yes	complemented
125	#529	C₂²	1	4	yes	complemented
126	#529	C₂²	1	2	yes	complemented
127	#529	C₂²	1	4	yes	complemented
128	C₂×#124	C₂²	1	1	yes	characteristic, complemented
129	#525	C₂²	1	4	yes	complemented
130	#525	C₂²	1	8	yes	complemented
131	#525	C₂²	1	2	yes	complemented
132	#525	C₂²	1	4	yes	complemented
133	#525	C₂²	1	4	yes	complemented
134	#525	C₂²	1	4	yes	complemented
135	C₂×#123	C₂²	1	8	yes	complemented
136	C₂×#123	C₂²	1	2	yes	complemented
137	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
138	C₂×#121	C₂²	1	2	yes	complemented
139	C₂×#121	C₂²	1	4	yes	complemented
140	C₂×#121	C₂²	1	2	yes	complemented
141	C₂×#121	C₂²	1	4	yes	complemented
142	C₂×#121	C₂²	1	4	yes	complemented
143	C₂×#121	C₂²	1	1	yes	characteristic, complemented
144	C₂×#121	C₂²	1	2	yes	complemented
145	C₂×#121	C₂²	1	2	yes	complemented
146	C₂×#120	C₂²	1	4	yes	complemented
147	C₂×#120	C₂²	1	2	yes	complemented
148	C₂×#120	C₂²	1	8	yes	complemented
149	C₂×#120	C₂²	1	4	yes	complemented
150	C₂×#120	C₂²	1	8	yes	complemented
151	#520	C₂²	1	2	yes	complemented
152	#518	C₂²	1	4	yes	complemented
153	#518	C₂²	1	4	yes	complemented
154	C₂×C₄×D₄	C₂²	1	2	yes	complemented
155	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₄×D₄	C₂²	1	2	yes	complemented
157	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
158	C₂²×C₂²⋊C₄	C₂²	1	2	yes	complemented
159	C₂⁵	C₂³	1	2	yes	—
160	C₂⁵	C₂³	1	4	yes	complemented
161	H(5,𝔽₂)	—	4	8	no	—
162	H(5,𝔽₂)	—	4	8	no	—
163	C₂×#41	—	4	4	no	—
164	C₂×#41	C₂³	1	2	yes	—
165	C₂×#41	C₂³	1	2	yes	complemented
166	C₂×#41	C₂³	1	8	yes	complemented
167	C₂×#41	C₂³	1	4	yes	complemented
168	C₂×#41	C₂³	1	4	yes	complemented
169	C₂×#41	C₂³	1	4	yes	complemented
170	C₂×#41	C₂³	1	4	yes	complemented
171	C₂×#41	C₂³	1	2	yes	complemented
172	C₂×#41	C₂³	1	4	yes	complemented
173	C₂²×Q₈	C₂³	1	1	yes	characteristic, complemented
174	C₂²×D₄	—	4	4	no	—
175	C₂²×D₄	—	4	8	no	—
176	C₂²×D₄	—	4	16	no	—
177	C₂²×D₄	C₂³	1	1	yes	characteristic
178	C₂²×D₄	C₂³	1	2	yes	—
179	C₂²×D₄	C₂³	1	1	yes	characteristic
180	C₂²×D₄	C₂³	1	2	yes	—
181	C₂²×D₄	C₂³	1	4	yes	—
182	C₂²×D₄	C₂³	1	4	yes	—
183	C₂²×D₄	C₂³	1	4	yes	—
184	C₂²×D₄	C₂³	1	8	yes	—
185	C₂²×D₄	C₂³	1	2	yes	—
186	C₂²×D₄	C₂³	1	1	yes	characteristic
187	C₂²×D₄	C₂³	1	2	yes	—
188	C₂²×D₄	C₂³	1	8	yes	—
189	C₂²×D₄	C₂³	1	4	yes	complemented
190	C₂²×D₄	C₂³	1	4	yes	complemented
191	C₂²×D₄	C₂³	1	2	yes	complemented
192	C₂²×D₄	C₂³	1	4	yes	complemented
193	C₂²×D₄	C₂³	1	8	yes	complemented
194	C₂²×D₄	C₂³	1	8	yes	complemented
195	C₂²×D₄	C₂³	1	8	yes	complemented
196	C₂²×D₄	C₂³	1	4	yes	complemented
197	C₂²×D₄	C₂³	1	2	yes	complemented
198	C₂²×D₄	C₂³	1	4	yes	complemented
199	C₂²×D₄	C₂³	1	2	yes	complemented
200	C₂²×D₄	C₂³	1	8	yes	complemented
201	C₂²×D₄	C₂³	1	8	yes	complemented
202	C₂²×D₄	C₂³	1	4	yes	complemented
203	C₂²×D₄	C₂³	1	4	yes	complemented
204	C₂²×D₄	C₂³	1	4	yes	complemented
205	C₂²×D₄	C₂³	1	2	yes	complemented
206	C₂²×D₄	C₂³	1	8	yes	complemented
207	C₂³×C₄	C₂³	1	1	yes	characteristic
208	C₂³×C₄	C₂³	1	2	yes	complemented
209	C₂³×C₄	C₂³	1	1	yes	characteristic, complemented
210	C₂³×C₄	C₂³	1	4	yes	complemented
211	C₂³×C₄	C₂³	1	2	yes	complemented
212	C₂³×C₄	C₂³	1	2	yes	complemented
213	C₄⋊Q₈	C₂³	1	2	yes	complemented
214	#127	C₂³	1	4	yes	—
215	#127	C₂³	1	4	yes	complemented
216	#127	C₂³	1	8	yes	complemented
217	#127	C₂³	1	2	yes	complemented
218	#127	C₂³	1	8	yes	complemented
219	#127	C₂³	1	8	yes	complemented
220	#126	C₂³	1	4	yes	complemented
221	#126	C₂³	1	4	yes	complemented
222	#126	C₂³	1	8	yes	complemented
223	#126	C₂³	1	4	yes	complemented
224	#126	C₂³	1	8	yes	complemented
225	#126	C₂³	1	8	yes	complemented
226	#126	C₂³	1	8	yes	complemented
227	#126	C₂³	1	8	yes	complemented
228	#125	C₂³	1	4	yes	complemented
229	#125	C₂³	1	2	yes	complemented
230	#125	C₂³	1	4	yes	complemented
231	#125	C₂³	1	8	yes	complemented
232	#124	C₂³	1	4	yes	complemented
233	#124	C₂³	1	4	yes	complemented
234	#124	C₂³	1	4	yes	complemented
235	#124	C₂³	1	4	yes	complemented
236	#124	C₂³	1	2	yes	complemented
237	#124	C₂³	1	4	yes	complemented
238	#124	C₂³	1	8	yes	complemented
239	#124	C₂³	1	8	yes	complemented
240	#124	C₂³	1	8	yes	complemented
241	#124	C₂³	1	8	yes	complemented
242	#124	C₂³	1	8	yes	complemented
243	#123	C₂³	1	4	yes	—
244	#123	C₂³	1	8	yes	—
245	#123	C₂³	1	8	yes	complemented
246	#123	C₂³	1	8	yes	complemented
247	#123	C₂³	1	8	yes	complemented
248	#123	C₂³	1	8	yes	complemented
249	#123	C₂³	1	8	yes	complemented
250	#123	C₂³	1	8	yes	complemented
251	#123	C₂³	1	8	yes	complemented
252	#123	C₂³	1	8	yes	complemented
253	#123	C₂³	1	4	yes	complemented
254	#123	C₂³	1	4	yes	complemented
255	#123	C₂³	1	4	yes	complemented
256	#123	C₂³	1	8	yes	complemented
257	#123	C₂³	1	8	yes	complemented
258	#123	C₂³	1	4	yes	complemented
259	#123	C₂³	1	8	yes	complemented
260	#123	C₂³	1	4	yes	complemented
261	#123	C₂³	1	8	yes	complemented
262	#123	C₂³	1	8	yes	complemented
263	#123	C₂³	1	8	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	C₂²⋊Q₈	C₂³	1	4	yes	complemented
269	C₂²⋊Q₈	C₂³	1	4	yes	complemented
270	C₂²⋊Q₈	C₂³	1	2	yes	complemented
271	C₂²⋊Q₈	C₂³	1	2	yes	complemented
272	C₂²⋊Q₈	C₂³	1	2	yes	complemented
273	C₂²⋊Q₈	C₂³	1	4	yes	complemented
274	C₂²⋊Q₈	C₂³	1	4	yes	complemented
275	C₂²⋊Q₈	C₂³	1	4	yes	complemented
276	C₂²⋊Q₈	C₂³	1	8	yes	complemented
277	C₂²⋊Q₈	C₂³	1	4	yes	complemented
278	C₂²⋊Q₈	C₂³	1	8	yes	complemented
279	C₂²⋊Q₈	C₂³	1	4	yes	complemented
280	C₂²⋊Q₈	C₂³	1	4	yes	complemented
281	C₂²⋊Q₈	C₂³	1	8	yes	complemented
282	C₂²⋊Q₈	C₂³	1	8	yes	complemented
283	#121	C₂³	1	2	yes	—
284	#121	C₂³	1	2	yes	—
285	#121	C₂³	1	4	yes	—
286	#121	C₂³	1	8	yes	—
287	#121	C₂³	1	4	yes	—
288	#121	C₂³	1	4	yes	—
289	#121	C₂³	1	4	yes	—
290	#121	C₂³	1	4	yes	—
291	#121	C₂³	1	4	yes	complemented
292	#121	C₂³	1	4	yes	complemented
293	#121	C₂³	1	4	yes	complemented
294	#121	C₂³	1	4	yes	complemented
295	#121	C₂³	1	4	yes	complemented
296	#121	C₂³	1	8	yes	complemented
297	#121	C₂³	1	8	yes	complemented
298	#121	C₂³	1	8	yes	complemented
299	#121	C₂³	1	8	yes	complemented
300	#121	C₂³	1	4	yes	complemented
301	#121	C₂³	1	4	yes	complemented
302	#121	C₂³	1	4	yes	complemented
303	#121	C₂³	1	8	yes	complemented
304	#121	C₂³	1	4	yes	complemented
305	#121	C₂³	1	4	yes	complemented
306	#121	C₂³	1	4	yes	complemented
307	#121	C₂³	1	4	yes	complemented
308	#121	C₂³	1	8	yes	complemented
309	#121	C₂³	1	8	yes	complemented
310	#121	C₂³	1	4	yes	complemented
311	#121	C₂³	1	8	yes	complemented
312	#121	C₂³	1	8	yes	complemented
313	#121	C₂³	1	8	yes	complemented
314	#121	C₂³	1	2	yes	complemented
315	#121	C₂³	1	4	yes	complemented
316	#121	C₂³	1	8	yes	complemented
317	#121	C₂³	1	4	yes	complemented
318	#121	C₂³	1	4	yes	complemented
319	#121	C₂³	1	4	yes	complemented
320	#121	C₂³	1	8	yes	complemented
321	#121	C₂³	1	8	yes	complemented
322	#121	C₂³	1	8	yes	complemented
323	#121	C₂³	1	8	yes	complemented
324	#121	C₂³	1	8	yes	complemented
325	#121	C₂³	1	8	yes	complemented
326	#121	C₂³	1	8	yes	complemented
327	#121	C₂³	1	8	yes	complemented
328	#121	C₂³	1	8	yes	complemented
329	#121	C₂³	1	8	yes	complemented
330	#121	C₂³	1	8	yes	complemented
331	#121	C₂³	1	8	yes	complemented
332	#121	C₂³	1	8	yes	complemented
333	#120	C₂³	1	4	yes	—
334	#120	C₂³	1	8	yes	—
335	#120	C₂³	1	8	yes	—
336	#120	C₂³	1	8	yes	—
337	#120	C₂³	1	8	yes	—
338	#120	C₂³	1	8	yes	complemented
339	#120	C₂³	1	4	yes	complemented
340	#120	C₂³	1	8	yes	complemented
341	#120	C₂³	1	8	yes	complemented
342	#120	C₂³	1	8	yes	complemented
343	#120	C₂³	1	8	yes	complemented
344	#120	C₂³	1	8	yes	complemented
345	#120	C₂³	1	8	yes	complemented
346	#120	C₂³	1	8	yes	complemented
347	#120	C₂³	1	8	yes	complemented
348	#120	C₂³	1	8	yes	complemented
349	#120	C₂³	1	8	yes	complemented
350	#120	C₂³	1	8	yes	complemented
351	#120	C₂³	1	8	yes	complemented
352	#120	C₂³	1	8	yes	complemented
353	#120	C₂³	1	8	yes	complemented
354	#120	C₂³	1	8	yes	complemented
355	#120	C₂³	1	8	yes	complemented
356	#120	C₂³	1	4	yes	complemented
357	#120	C₂³	1	8	yes	complemented
358	#120	C₂³	1	8	yes	complemented
359	#120	C₂³	1	8	yes	complemented
360	C₄×Q₈	C₂³	1	4	yes	complemented
361	C₄×Q₈	C₂³	1	2	yes	complemented
362	C₄×D₄	C₂³	1	2	yes	—
363	C₄×D₄	C₂³	1	4	yes	—
364	C₄×D₄	C₂³	1	4	yes	—
365	C₄×D₄	C₂³	1	4	yes	—
366	C₄×D₄	C₂³	1	4	yes	complemented
367	C₄×D₄	C₂³	1	4	yes	complemented
368	C₄×D₄	C₂³	1	4	yes	complemented
369	C₄×D₄	C₂³	1	8	yes	complemented
370	C₄×D₄	C₂³	1	4	yes	complemented
371	C₄×D₄	C₂³	1	4	yes	complemented
372	C₄×D₄	C₂³	1	2	yes	complemented
373	C₄×D₄	C₂³	1	4	yes	complemented
374	C₄×D₄	C₂³	1	8	yes	complemented
375	C₄×D₄	C₂³	1	8	yes	complemented
376	C₄×D₄	C₂³	1	8	yes	complemented
377	C₄×D₄	C₂³	1	8	yes	complemented
378	C₄×D₄	C₂³	1	8	yes	complemented
379	C₄×D₄	C₂³	1	8	yes	complemented
380	C₄×D₄	C₂³	1	4	yes	complemented
381	C₄×D₄	C₂³	1	4	yes	complemented
382	C₄×D₄	C₂³	1	8	yes	complemented
383	C₄×D₄	C₂³	1	2	yes	complemented
384	C₄×D₄	C₂³	1	4	yes	complemented
385	C₄×D₄	C₂³	1	8	yes	complemented
386	C₄×D₄	C₂³	1	8	yes	complemented
387	C₄×D₄	C₂³	1	8	yes	complemented
388	C₄×D₄	C₂³	1	8	yes	complemented
389	C₄×D₄	C₂³	1	4	yes	complemented
390	#117	C₂³	1	4	yes	complemented
391	#117	C₂³	1	8	yes	complemented
392	#117	C₂³	1	4	yes	complemented
393	#117	C₂³	1	2	yes	complemented
394	#117	C₂³	1	4	yes	complemented
395	#117	C₂³	1	4	yes	complemented
396	#117	C₂³	1	8	yes	complemented
397	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
398	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
399	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
400	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
401	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
402	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
403	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
404	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
405	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
407	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
408	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
409	C₂×C₂²⋊C₄	C₂³	1	2	yes	complemented
410	C₂×C₂²⋊C₄	C₂³	1	2	yes	complemented
411	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
412	C₂×C₂²⋊C₄	C₂³	1	2	yes	complemented
413	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
414	C₂×C₂²⋊C₄	C₂³	1	2	yes	complemented
415	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
416	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
417	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
418	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
419	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
420	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
421	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
422	C₂×C₂²⋊C₄	C₂³	1	2	yes	complemented
423	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
424	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
425	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
426	C₂×C₄²	C₂³	1	2	yes	complemented
427	C₂⁴	—	2	8	no	—
428	C₂⁴	—	4	4	no	—
429	C₂⁴	—	4	8	no	—
430	C₂⁴	—	4	8	no	—
431	C₂⁴	—	8	2	no	—
432	C₂⁴	—	8	4	no	—
433	C₂⁴	C₂⁴	1	4	yes	—
434	C₂⁴	C₂⁴	1	2	yes	—
435	C₂⁴	C₂⁴	1	4	yes	—
436	C₂⁴	C₂⁴	1	4	yes	—
437	C₂⁴	C₂⁴	1	8	yes	—
438	C₂⁴	C₂⁴	1	2	yes	—
439	C₂⁴	C₂⁴	1	2	yes	—
440	C₂⁴	C₂⁴	1	1	yes	characteristic
441	C₂⁴	C₂⁴	1	8	yes	—
442	C₂⁴	C₂⁴	1	4	yes	—
443	C₂⁴	C₂⁴	1	1	yes	characteristic
444	#41	—	2	8	no	—
445	#41	—	4	4	no	—
446	#41	—	4	8	no	—
447	#41	—	4	16	no	—
448	#41	—	4	8	no	—
449	#41	—	4	8	no	—
450	#41	—	4	4	no	—
451	#41	—	4	8	no	—
452	#41	—	8	4	no	—
453	C₂×Q₈	—	4	2	no	—
454	C₂×Q₈	C₂⁴	1	2	yes	—
455	C₂×Q₈	C₂⁴	1	2	yes	—
456	C₂×Q₈	C₂⁴	1	2	yes	—
457	C₂×Q₈	C₂⁴	1	2	yes	—
458	C₂×Q₈	C₂⁴	1	4	yes	—
459	C₂×D₄	—	2	8	no	—
460	C₂×D₄	—	2	16	no	—
461	C₂×D₄	—	2	4	no	—
462	C₂×D₄	—	2	8	no	—
463	C₂×D₄	—	2	4	no	—
464	C₂×D₄	—	2	16	no	—
465	C₂×D₄	—	4	4	no	—
466	C₂×D₄	—	4	2	no	—
467	C₂×D₄	—	4	4	no	—
468	C₂×D₄	—	4	8	no	—
469	C₂×D₄	—	4	4	no	—
470	C₂×D₄	—	4	8	no	—
471	C₂×D₄	—	4	8	no	—
472	C₂×D₄	—	4	8	no	—
473	C₂×D₄	—	4	4	no	—
474	C₂×D₄	—	4	16	no	—
475	C₂×D₄	—	4	16	no	—
476	C₂×D₄	—	4	8	no	—
477	C₂×D₄	—	4	16	no	—
478	C₂×D₄	—	4	16	no	—
479	C₂×D₄	—	4	16	no	—
480	C₂×D₄	—	4	8	no	—
481	C₂×D₄	—	4	4	no	—
482	C₂×D₄	—	4	8	no	—
483	C₂×D₄	—	4	16	no	—
484	C₂×D₄	—	4	16	no	—
485	C₂×D₄	—	8	2	no	—
486	C₂×D₄	—	8	4	no	—
487	C₂×D₄	—	8	4	no	—
488	C₂×D₄	—	8	8	no	—
489	C₂×D₄	C₂⁴	1	4	yes	—
490	C₂×D₄	C₂⁴	1	8	yes	—
491	C₂×D₄	C₂⁴	1	4	yes	—
492	C₂×D₄	C₂⁴	1	8	yes	—
493	C₂×D₄	C₂⁴	1	4	yes	—
494	C₂×D₄	C₂⁴	1	2	yes	—
495	C₂×D₄	C₂⁴	1	4	yes	—
496	C₂×D₄	C₂⁴	1	8	yes	—
497	C₂×D₄	C₂⁴	1	4	yes	—
498	C₂×D₄	C₂⁴	1	2	yes	—
499	C₂×D₄	C₂⁴	1	4	yes	—
500	C₂×D₄	C₂⁴	1	1	yes	characteristic
501	C₂×D₄	C₂⁴	1	2	yes	—
502	C₂×D₄	C₂⁴	1	8	yes	—
503	C₂×D₄	C₂⁴	1	8	yes	—
504	C₂×D₄	C₂⁴	1	8	yes	—
505	C₂×D₄	C₂⁴	1	4	yes	—
506	C₂×D₄	C₂⁴	1	4	yes	—
507	C₂×D₄	C₂⁴	1	8	yes	—
508	C₂×D₄	C₂⁴	1	2	yes	—
509	C₂×D₄	C₂⁴	1	8	yes	—
510	C₂×D₄	C₂⁴	1	8	yes	—
511	C₂×D₄	C₂⁴	1	8	yes	—
512	C₂×D₄	C₂⁴	1	4	yes	—
513	C₂×D₄	C₂⁴	1	4	yes	—
514	C₂×D₄	C₂⁴	1	2	yes	—
515	C₂×D₄	C₂⁴	1	4	yes	—
516	C₂×D₄	C₂⁴	1	4	yes	—
517	C₂×D₄	C₂⁴	1	8	yes	—
518	C₂×D₄	C₂⁴	1	8	yes	—
519	C₂×D₄	C₂⁴	1	4	yes	—
520	C₂×D₄	C₂⁴	1	8	yes	—
521	C₂×D₄	C₂⁴	1	4	yes	—
522	C₂×D₄	C₂⁴	1	8	yes	—
523	C₂×D₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄	—	4	2	no	—
525	C₂²×C₄	—	4	4	no	—
526	C₂²×C₄	—	4	2	no	—
527	C₂²×C₄	—	4	8	no	—
528	C₂²×C₄	—	4	4	no	—
529	C₂²×C₄	—	8	2	no	—
530	C₂²×C₄	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴	1	2	yes	—
532	C₂²×C₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴	1	2	yes	—
534	C₂²×C₄	C₂⁴	1	4	yes	—
535	C₂²×C₄	C₂⁴	1	4	yes	—
536	C₂²×C₄	C₂⁴	1	2	yes	—
537	C₂²×C₄	C₂⁴	1	4	yes	—
538	C₂²×C₄	C₂⁴	1	2	yes	—
539	C₂²×C₄	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄	C₂⁴	1	2	yes	—
541	C₂²×C₄	C₂⁴	1	2	yes	—
542	C₂²×C₄	C₂⁴	1	2	yes	—
543	C₂²×C₄	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄	C₂⁴	1	4	yes	—
545	C₂²×C₄	C₂⁴	1	2	yes	—
546	C₂²×C₄	C₂⁴	1	8	yes	—
547	C₂²×C₄	C₂⁴	1	8	yes	—
548	C₂²×C₄	C₂⁴	1	4	yes	—
549	C₂²×C₄	C₂⁴	1	8	yes	—
550	C₂²×C₄	C₂⁴	1	8	yes	—
551	C₂²×C₄	C₂⁴	1	4	yes	—
552	C₂²×C₄	C₂⁴	1	2	yes	—
553	C₂²×C₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄	C₂⁴	1	4	yes	—
555	C₂²×C₄	C₂⁴	1	4	yes	—
556	C₂²×C₄	C₂⁴	1	8	yes	—
557	C₄⋊C₄	C₂⁴	1	4	yes	—
558	C₄⋊C₄	C₂⁴	1	2	yes	—
559	C₄⋊C₄	C₂⁴	1	4	yes	—
560	C₄⋊C₄	C₂⁴	1	2	yes	—
561	C₄⋊C₄	C₂⁴	1	2	yes	—
562	C₄⋊C₄	C₂⁴	1	8	yes	—
563	C₄⋊C₄	C₂⁴	1	8	yes	—
564	C₄⋊C₄	C₂⁴	1	4	yes	—
565	C₄⋊C₄	C₂⁴	1	4	yes	—
566	C₄⋊C₄	C₂⁴	1	4	yes	—
567	C₄⋊C₄	C₂⁴	1	4	yes	—
568	C₄⋊C₄	C₂⁴	1	4	yes	—
569	C₄⋊C₄	C₂⁴	1	2	yes	—
570	C₄⋊C₄	C₂⁴	1	8	yes	—
571	C₄⋊C₄	C₂⁴	1	2	yes	—
572	C₄⋊C₄	C₂⁴	1	2	yes	—
573	C₄⋊C₄	C₂⁴	1	4	yes	—
574	C₄⋊C₄	C₂⁴	1	8	yes	—
575	C₄⋊C₄	C₂⁴	1	4	yes	—
576	C₄⋊C₄	C₂⁴	1	8	yes	—
577	C₄⋊C₄	C₂⁴	1	4	yes	—
578	C₄⋊C₄	C₂⁴	1	4	yes	—
579	C₂²⋊C₄	C₂⁴	1	4	yes	—
580	C₂²⋊C₄	C₂⁴	1	8	yes	—
581	C₂²⋊C₄	C₂⁴	1	4	yes	—
582	C₂²⋊C₄	C₂⁴	1	4	yes	—
583	C₂²⋊C₄	C₂⁴	1	4	yes	—
584	C₂²⋊C₄	C₂⁴	1	8	yes	—
585	C₂²⋊C₄	C₂⁴	1	8	yes	—
586	C₂²⋊C₄	C₂⁴	1	8	yes	—
587	C₂²⋊C₄	C₂⁴	1	4	yes	—
588	C₂²⋊C₄	C₂⁴	1	4	yes	—
589	C₂²⋊C₄	C₂⁴	1	8	yes	—
590	C₂²⋊C₄	C₂⁴	1	8	yes	—
591	C₂²⋊C₄	C₂⁴	1	4	yes	—
592	C₂²⋊C₄	C₂⁴	1	4	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	C₂²⋊C₄	C₂⁴	1	8	yes	—
599	C₂²⋊C₄	C₂⁴	1	8	yes	—
600	C₂²⋊C₄	C₂⁴	1	4	yes	—
601	C₂²⋊C₄	C₂⁴	1	4	yes	—
602	C₂²⋊C₄	C₂⁴	1	8	yes	—
603	C₂²⋊C₄	C₂⁴	1	8	yes	—
604	C₂²⋊C₄	C₂⁴	1	8	yes	—
605	C₂²⋊C₄	C₂⁴	1	8	yes	—
606	C₂²⋊C₄	C₂⁴	1	8	yes	—
607	C₂²⋊C₄	C₂⁴	1	4	yes	—
608	C₂²⋊C₄	C₂⁴	1	4	yes	—
609	C₂²⋊C₄	C₂⁴	1	4	yes	—
610	C₂²⋊C₄	C₂⁴	1	4	yes	—
611	C₄²	C₂⁴	1	4	yes	—
612	C₄²	C₂⁴	1	2	yes	—
613	C₄²	C₂⁴	1	4	yes	—
614	C₄²	C₂⁴	1	2	yes	—
615	C₄²	C₂⁴	1	8	yes	—
616	C₄²	C₂⁴	1	8	yes	—
617	C₂³	—	2	4	no	—
618	C₂³	—	2	8	no	—
619	C₂³	—	2	8	no	—
620	C₂³	—	2	4	no	—
621	C₂³	—	2	4	no	—
622	C₂³	—	2	2	no	—
623	C₂³	—	2	16	no	—
624	C₂³	—	2	8	no	—
625	C₂³	—	2	4	no	—
626	C₂³	—	2	8	no	—
627	C₂³	—	4	1	no	—
628	C₂³	—	4	2	no	—
629	C₂³	—	4	2	no	—
630	C₂³	—	4	1	no	—
631	C₂³	—	4	4	no	—
632	C₂³	—	4	2	no	—
633	C₂³	—	4	1	no	—
634	C₂³	—	4	2	no	—
635	C₂³	—	4	4	no	—
636	C₂³	—	4	4	no	—
637	C₂³	—	4	8	no	—
638	C₂³	—	4	8	no	—
639	C₂³	—	4	8	no	—
640	C₂³	—	4	1	no	—
641	C₂³	—	4	2	no	—
642	C₂³	—	4	8	no	—
643	C₂³	—	4	4	no	—
644	C₂³	—	4	4	no	—
645	C₂³	—	4	8	no	—
646	C₂³	—	4	4	no	—
647	C₂³	—	4	4	no	—
648	C₂³	—	4	4	no	—
649	C₂³	—	8	16	no	—
650	C₂³	—	8	32	no	—
651	C₂³	H(5,𝔽₂)	1	4	yes	complemented
652	C₂³	C₂⁵	1	4	yes	—
653	C₂³	C₂⁵	1	4	yes	—
654	C₂³	C₂⁵	1	8	yes	—
655	C₂³	C₂⁵	1	2	yes	—
656	C₂³	C₂⁵	1	2	yes	—
657	C₂³	C₂⁵	1	2	yes	—
658	C₂³	C₂⁵	1	2	yes	—
659	C₂³	C₂⁵	1	1	yes	characteristic
660	Q₈	—	2	4	no	—
661	Q₈	—	4	2	no	—
662	Q₈	—	4	2	no	—
663	Q₈	—	4	4	no	—
664	Q₈	—	4	2	no	—
665	D₄	—	2	8	no	—
666	D₄	—	2	8	no	—
667	D₄	—	2	8	no	—
668	D₄	—	2	16	no	—
669	D₄	—	2	16	no	—
670	D₄	—	2	16	no	—
671	D₄	—	2	8	no	—
672	D₄	—	2	4	no	—
673	D₄	—	2	8	no	—
674	D₄	—	2	4	no	—
675	D₄	—	2	8	no	—
676	D₄	—	2	2	no	—
677	D₄	—	4	4	no	—
678	D₄	—	4	8	no	—
679	D₄	—	4	4	no	—
680	D₄	—	4	8	no	—
681	D₄	—	4	8	no	—
682	D₄	—	4	8	no	—
683	D₄	—	4	8	no	—
684	D₄	—	4	2	no	—
685	D₄	—	4	2	no	—
686	D₄	—	4	4	no	—
687	D₄	—	4	4	no	—
688	D₄	—	4	8	no	—
689	D₄	—	4	4	no	—
690	D₄	—	4	8	no	—
691	D₄	—	4	4	no	—
692	D₄	—	4	8	no	—
693	D₄	—	4	8	no	—
694	D₄	—	4	2	no	—
695	D₄	—	4	8	no	—
696	D₄	—	4	4	no	—
697	D₄	—	4	4	no	—
698	D₄	—	4	8	no	—
699	D₄	H(5,𝔽₂)	1	4	yes	complemented
700	C₂×C₄	—	2	4	no	—
701	C₂×C₄	—	2	8	no	—
702	C₂×C₄	—	2	8	no	—
703	C₂×C₄	—	2	2	no	—
704	C₂×C₄	—	2	4	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	8	no	—
707	C₂×C₄	—	2	4	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	1	no	—
710	C₂×C₄	—	4	8	no	—
711	C₂×C₄	—	4	4	no	—
712	C₂×C₄	—	4	8	no	—
713	C₂×C₄	—	4	2	no	—
714	C₂×C₄	—	4	2	no	—
715	C₂×C₄	—	4	2	no	—
716	C₂×C₄	—	4	2	no	—
717	C₂×C₄	—	4	4	no	—
718	C₂×C₄	—	4	1	no	—
719	C₂×C₄	—	4	2	no	—
720	C₂×C₄	—	4	4	no	—
721	C₂×C₄	—	4	4	no	—
722	C₂×C₄	—	4	4	no	—
723	C₂×C₄	—	4	8	no	—
724	C₂×C₄	—	4	8	no	—
725	C₂×C₄	—	4	2	no	—
726	C₂×C₄	—	4	8	no	—
727	C₂×C₄	C₂⁵	1	4	yes	—
728	C₂×C₄	C₂⁵	1	2	yes	—
729	C₂×C₄	C₂⁵	1	4	yes	—
730	C₂×C₄	C₂⁵	1	2	yes	—
731	C₂×C₄	C₂⁵	1	1	yes	characteristic
732	C₂×C₄	C₂⁵	1	4	yes	—
733	C₂×C₄	C₂⁵	1	4	yes	—
734	C₂×C₄	C₂⁵	1	8	yes	—
735	C₂×C₄	C₂⁵	1	4	yes	—
736	C₂×C₄	C₂⁵	1	2	yes	—
737	C₂×C₄	C₂⁵	1	2	yes	—
738	C₂×C₄	C₂⁵	1	1	yes	characteristic
739	C₂²	—	2	1	no	—
740	C₂²	—	2	2	no	—
741	C₂²	—	2	2	no	—
742	C₂²	—	2	1	no	—
743	C₂²	—	2	2	no	—
744	C₂²	—	2	2	no	—
745	C₂²	—	2	2	no	—
746	C₂²	—	2	4	no	—
747	C₂²	—	2	2	no	—
748	C₂²	—	2	2	no	—
749	C₂²	—	2	4	no	—
750	C₂²	—	2	8	no	—
751	C₂²	—	2	8	no	—
752	C₂²	—	2	4	no	—
753	C₂²	—	2	4	no	—
754	C₂²	—	2	2	no	—
755	C₂²	—	2	2	no	—
756	C₂²	—	2	8	no	—
757	C₂²	—	2	2	no	—
758	C₂²	—	2	4	no	—
759	C₂²	—	2	4	no	—
760	C₂²	—	4	4	no	—
761	C₂²	—	4	8	no	—
762	C₂²	—	4	16	no	—
763	C₂²	—	4	8	no	—
764	C₂²	—	8	2	no	—
765	C₂²	—	8	8	no	—
766	C₂²	—	8	8	no	—
767	C₂²	—	8	16	no	—
768	C₂²	—	8	4	no	—
769	C₂²	—	8	16	no	—
770	C₂²	—	16	4	no	—
771	C₂²	C₂×H(5,𝔽₂)	1	4	yes	—
772	C₂²	C₂×H(5,𝔽₂)	1	4	yes	—
773	C₂²	C₂×H(5,𝔽₂)	1	2	yes	—
774	C₂²	C₂⁶	1	1	yes	characteristic
775	C₄	—	2	2	no	—
776	C₄	—	2	4	no	—
777	C₄	—	2	2	no	—
778	C₄	—	2	8	no	—
779	C₄	—	2	4	no	—
780	C₄	—	2	2	no	—
781	C₄	—	2	1	no	—
782	C₄	—	2	4	no	—
783	C₄	—	2	4	no	—
784	C₄	—	2	2	no	—
785	C₄	—	2	4	no	—
786	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
787	C₂	—	2	4	no	—
788	C₂	—	2	4	no	—
789	C₂	—	2	2	no	—
790	C₂	—	4	2	no	—
791	C₂	—	4	4	no	—
792	C₂	—	4	4	no	—
793	C₂	—	4	8	no	—
794	C₂	—	4	2	no	—
795	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
796	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
797	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. #3558	C₂	semidirect
2. #3543	C₂	semidirect
3. #3542	C₂	semidirect
4. #3537	C₂	semidirect
5. #3537	C₂	semidirect
6. #3534	C₂	semidirect
7. #3534	C₂	semidirect
8. #3532	C₂	semidirect
9. #3519	C₂	semidirect
10. #3513	C₂	semidirect
11. #3505	C₂	semidirect
12. #3496	C₂	semidirect
13. #3490	C₂	semidirect
14. #3488	C₂	semidirect
15. #3484	C₂	semidirect
16. #3484	C₂	semidirect
17. C₂×#546	C₂	semidirect
18. C₂×D₄²	C₂	semidirect
19. #3459	C₂	semidirect
20. C₂×#534	C₂	semidirect
21. C₂×H(5,𝔽₂)	C₂²	semidirect
22. C₂×H(5,𝔽₂)	C₂²	semidirect
23. C₂²×#41	C₂²	semidirect
24. C₂³×D₄	C₂²	semidirect
25. C₂³×D₄	C₂²	semidirect
26. C₂³×D₄	C₂²	semidirect
27. #562	C₂²	semidirect
28. #562	C₂²	semidirect
29. H(3,𝔽₄)	C₂²	semidirect
30. #560	C₂²	semidirect
31. #560	C₂²	semidirect
32. #560	C₂²	semidirect
33. #560	C₂²	semidirect
34. #559	C₂²	semidirect
35. #555	C₂²	semidirect
36. #554	C₂²	semidirect
37. #553	C₂²	semidirect
38. #553	C₂²	semidirect
39. #553	C₂²	semidirect
40. #553	C₂²	semidirect
41. #553	C₂²	semidirect
42. #552	C₂²	semidirect
43. #551	C₂²	semidirect
44. #551	C₂²	semidirect
45. #551	C₂²	semidirect
46. #551	C₂²	semidirect
47. #550	C₂²	semidirect
48. #550	C₂²	semidirect
49. #548	C₂²	semidirect
50. #547	C₂²	semidirect
51. #546	C₂²	semidirect
52. #546	C₂²	semidirect
53. #546	C₂²	semidirect
54. #546	C₂²	semidirect
55. #546	C₂²	semidirect
56. #546	C₂²	semidirect
57. #546	C₂²	semidirect
58. #546	C₂²	semidirect
59. #546	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. D₄²	C₂²	semidirect
71. D₄²	C₂²	semidirect
72. D₄²	C₂²	semidirect
73. D₄²	C₂²	semidirect
74. D₄²	C₂²	semidirect
75. D₄²	C₂²	semidirect
76. D₄²	C₂²	semidirect
77. D₄²	C₂²	semidirect
78. D₄²	C₂²	semidirect
79. D₄²	C₂²	semidirect
80. D₄²	C₂²	semidirect
81. #543	C₂²	semidirect
82. #542	C₂²	semidirect
83. #540	C₂²	semidirect
84. #540	C₂²	semidirect
85. #540	C₂²	semidirect
86. #540	C₂²	semidirect
87. #539	C₂²	semidirect
88. #539	C₂²	semidirect
89. #539	C₂²	semidirect
90. #539	C₂²	semidirect
91. #538	C₂²	semidirect
92. #538	C₂²	semidirect
93. #538	C₂²	semidirect
94. #538	C₂²	semidirect
95. #538	C₂²	semidirect
96. #538	C₂²	semidirect
97. #538	C₂²	semidirect
98. #538	C₂²	semidirect
99. #538	C₂²	semidirect
100. #538	C₂²	semidirect
101. #537	C₂²	semidirect
102. #537	C₂²	semidirect
103. #537	C₂²	semidirect
104. #535	C₂²	semidirect
105. #535	C₂²	semidirect
106. #535	C₂²	semidirect
107. #535	C₂²	semidirect
108. #535	C₂²	semidirect
109. #535	C₂²	semidirect
110. #534	C₂²	semidirect
111. #534	C₂²	semidirect
112. #534	C₂²	semidirect
113. #534	C₂²	semidirect
114. #534	C₂²	semidirect
115. #534	C₂²	semidirect
116. #534	C₂²	semidirect
117. #534	C₂²	semidirect
118. #534	C₂²	semidirect
119. #534	C₂²	semidirect
120. #534	C₂²	semidirect
121. #534	C₂²	semidirect
122. #534	C₂²	semidirect
123. #532	C₂²	semidirect
124. C₂×#127	C₂²	semidirect
125. #529	C₂²	semidirect
126. #529	C₂²	semidirect
127. #529	C₂²	semidirect
128. C₂×#124	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. C₂×#123	C₂²	semidirect
136. C₂×#123	C₂²	semidirect
137. C₂×C₂²⋊Q₈	C₂²	semidirect
138. C₂×#121	C₂²	semidirect
139. C₂×#121	C₂²	semidirect
140. C₂×#121	C₂²	semidirect
141. C₂×#121	C₂²	semidirect
142. C₂×#121	C₂²	semidirect
143. C₂×#121	C₂²	semidirect
144. C₂×#121	C₂²	semidirect
145. C₂×#121	C₂²	semidirect
146. C₂×#120	C₂²	semidirect
147. C₂×#120	C₂²	semidirect
148. C₂×#120	C₂²	semidirect
149. C₂×#120	C₂²	semidirect
150. C₂×#120	C₂²	semidirect
151. #520	C₂²	semidirect
152. #518	C₂²	semidirect
153. #518	C₂²	semidirect
154. C₂×C₄×D₄	C₂²	semidirect
155. C₂×C₄×D₄	C₂²	semidirect
156. C₂×C₄×D₄	C₂²	semidirect
157. C₂×C₄×D₄	C₂²	semidirect
158. C₂²×C₂²⋊C₄	C₂²	semidirect
160. C₂⁵	C₂³	semidirect
165. C₂×#41	C₂³	semidirect
166. C₂×#41	C₂³	semidirect
167. C₂×#41	C₂³	semidirect
168. C₂×#41	C₂³	semidirect
169. C₂×#41	C₂³	semidirect
170. C₂×#41	C₂³	semidirect
171. C₂×#41	C₂³	semidirect
172. C₂×#41	C₂³	semidirect
173. C₂²×Q₈	C₂³	semidirect
189. C₂²×D₄	C₂³	semidirect
190. C₂²×D₄	C₂³	semidirect
191. C₂²×D₄	C₂³	semidirect
192. C₂²×D₄	C₂³	semidirect
193. C₂²×D₄	C₂³	semidirect
194. C₂²×D₄	C₂³	semidirect
195. C₂²×D₄	C₂³	semidirect
196. C₂²×D₄	C₂³	semidirect
197. C₂²×D₄	C₂³	semidirect
198. C₂²×D₄	C₂³	semidirect
199. C₂²×D₄	C₂³	semidirect
200. C₂²×D₄	C₂³	semidirect
201. C₂²×D₄	C₂³	semidirect
202. C₂²×D₄	C₂³	semidirect
203. C₂²×D₄	C₂³	semidirect
204. C₂²×D₄	C₂³	semidirect
205. C₂²×D₄	C₂³	semidirect
206. C₂²×D₄	C₂³	semidirect
208. C₂³×C₄	C₂³	semidirect
209. C₂³×C₄	C₂³	semidirect
210. C₂³×C₄	C₂³	semidirect
211. C₂³×C₄	C₂³	semidirect
212. C₂³×C₄	C₂³	semidirect
213. C₄⋊Q₈	C₂³	semidirect
215. #127	C₂³	semidirect
216. #127	C₂³	semidirect
217. #127	C₂³	semidirect
218. #127	C₂³	semidirect
219. #127	C₂³	semidirect
220. #126	C₂³	semidirect
221. #126	C₂³	semidirect
222. #126	C₂³	semidirect
223. #126	C₂³	semidirect
224. #126	C₂³	semidirect
225. #126	C₂³	semidirect
226. #126	C₂³	semidirect
227. #126	C₂³	semidirect
228. #125	C₂³	semidirect
229. #125	C₂³	semidirect
230. #125	C₂³	semidirect
231. #125	C₂³	semidirect
232. #124	C₂³	semidirect
233. #124	C₂³	semidirect
234. #124	C₂³	semidirect
235. #124	C₂³	semidirect
236. #124	C₂³	semidirect
237. #124	C₂³	semidirect
238. #124	C₂³	semidirect
239. #124	C₂³	semidirect
240. #124	C₂³	semidirect
241. #124	C₂³	semidirect
242. #124	C₂³	semidirect
245. #123	C₂³	semidirect
246. #123	C₂³	semidirect
247. #123	C₂³	semidirect
248. #123	C₂³	semidirect
249. #123	C₂³	semidirect
250. #123	C₂³	semidirect
251. #123	C₂³	semidirect
252. #123	C₂³	semidirect
253. #123	C₂³	semidirect
254. #123	C₂³	semidirect
255. #123	C₂³	semidirect
256. #123	C₂³	semidirect
257. #123	C₂³	semidirect
258. #123	C₂³	semidirect
259. #123	C₂³	semidirect
260. #123	C₂³	semidirect
261. #123	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. C₂²⋊Q₈	C₂³	semidirect
269. C₂²⋊Q₈	C₂³	semidirect
270. C₂²⋊Q₈	C₂³	semidirect
271. C₂²⋊Q₈	C₂³	semidirect
272. C₂²⋊Q₈	C₂³	semidirect
273. C₂²⋊Q₈	C₂³	semidirect
274. C₂²⋊Q₈	C₂³	semidirect
275. C₂²⋊Q₈	C₂³	semidirect
276. C₂²⋊Q₈	C₂³	semidirect
277. C₂²⋊Q₈	C₂³	semidirect
278. C₂²⋊Q₈	C₂³	semidirect
279. C₂²⋊Q₈	C₂³	semidirect
280. C₂²⋊Q₈	C₂³	semidirect
281. C₂²⋊Q₈	C₂³	semidirect
282. C₂²⋊Q₈	C₂³	semidirect
291. #121	C₂³	semidirect
292. #121	C₂³	semidirect
293. #121	C₂³	semidirect
294. #121	C₂³	semidirect
295. #121	C₂³	semidirect
296. #121	C₂³	semidirect
297. #121	C₂³	semidirect
298. #121	C₂³	semidirect
299. #121	C₂³	semidirect
300. #121	C₂³	semidirect
301. #121	C₂³	semidirect
302. #121	C₂³	semidirect
303. #121	C₂³	semidirect
304. #121	C₂³	semidirect
305. #121	C₂³	semidirect
306. #121	C₂³	semidirect
307. #121	C₂³	semidirect
308. #121	C₂³	semidirect
309. #121	C₂³	semidirect
310. #121	C₂³	semidirect
311. #121	C₂³	semidirect
312. #121	C₂³	semidirect
313. #121	C₂³	semidirect
314. #121	C₂³	semidirect
315. #121	C₂³	semidirect
316. #121	C₂³	semidirect
317. #121	C₂³	semidirect
318. #121	C₂³	semidirect
319. #121	C₂³	semidirect
320. #121	C₂³	semidirect
321. #121	C₂³	semidirect
322. #121	C₂³	semidirect
323. #121	C₂³	semidirect
324. #121	C₂³	semidirect
325. #121	C₂³	semidirect
326. #121	C₂³	semidirect
327. #121	C₂³	semidirect
328. #121	C₂³	semidirect
329. #121	C₂³	semidirect
330. #121	C₂³	semidirect
331. #121	C₂³	semidirect
332. #121	C₂³	semidirect
338. #120	C₂³	semidirect
339. #120	C₂³	semidirect
340. #120	C₂³	semidirect
341. #120	C₂³	semidirect
342. #120	C₂³	semidirect
343. #120	C₂³	semidirect
344. #120	C₂³	semidirect
345. #120	C₂³	semidirect
346. #120	C₂³	semidirect
347. #120	C₂³	semidirect
348. #120	C₂³	semidirect
349. #120	C₂³	semidirect
350. #120	C₂³	semidirect
351. #120	C₂³	semidirect
352. #120	C₂³	semidirect
353. #120	C₂³	semidirect
354. #120	C₂³	semidirect
355. #120	C₂³	semidirect
356. #120	C₂³	semidirect
357. #120	C₂³	semidirect
358. #120	C₂³	semidirect
359. #120	C₂³	semidirect
360. C₄×Q₈	C₂³	semidirect
361. C₄×Q₈	C₂³	semidirect
366. C₄×D₄	C₂³	semidirect
367. C₄×D₄	C₂³	semidirect
368. C₄×D₄	C₂³	semidirect
369. C₄×D₄	C₂³	semidirect
370. C₄×D₄	C₂³	semidirect
371. C₄×D₄	C₂³	semidirect
372. C₄×D₄	C₂³	semidirect
373. C₄×D₄	C₂³	semidirect
374. C₄×D₄	C₂³	semidirect
375. C₄×D₄	C₂³	semidirect
376. C₄×D₄	C₂³	semidirect
377. C₄×D₄	C₂³	semidirect
378. C₄×D₄	C₂³	semidirect
379. C₄×D₄	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
388. C₄×D₄	C₂³	semidirect
389. C₄×D₄	C₂³	semidirect
390. #117	C₂³	semidirect
391. #117	C₂³	semidirect
392. #117	C₂³	semidirect
393. #117	C₂³	semidirect
394. #117	C₂³	semidirect
395. #117	C₂³	semidirect
396. #117	C₂³	semidirect
397. C₂×C₄⋊C₄	C₂³	semidirect
398. C₂×C₄⋊C₄	C₂³	semidirect
399. C₂×C₄⋊C₄	C₂³	semidirect
400. C₂×C₄⋊C₄	C₂³	semidirect
401. C₂×C₄⋊C₄	C₂³	semidirect
402. C₂×C₄⋊C₄	C₂³	semidirect
403. C₂×C₄⋊C₄	C₂³	semidirect
404. C₂×C₄⋊C₄	C₂³	semidirect
408. C₂×C₂²⋊C₄	C₂³	semidirect
409. C₂×C₂²⋊C₄	C₂³	semidirect
410. C₂×C₂²⋊C₄	C₂³	semidirect
411. C₂×C₂²⋊C₄	C₂³	semidirect
412. C₂×C₂²⋊C₄	C₂³	semidirect
413. C₂×C₂²⋊C₄	C₂³	semidirect
414. C₂×C₂²⋊C₄	C₂³	semidirect
415. C₂×C₂²⋊C₄	C₂³	semidirect
416. C₂×C₂²⋊C₄	C₂³	semidirect
417. C₂×C₂²⋊C₄	C₂³	semidirect
418. C₂×C₂²⋊C₄	C₂³	semidirect
419. C₂×C₂²⋊C₄	C₂³	semidirect
420. C₂×C₂²⋊C₄	C₂³	semidirect
421. C₂×C₂²⋊C₄	C₂³	semidirect
422. C₂×C₂²⋊C₄	C₂³	semidirect
423. C₂×C₂²⋊C₄	C₂³	semidirect
424. C₂×C₂²⋊C₄	C₂³	semidirect
425. C₂×C₄²	C₂³	semidirect
426. C₂×C₄²	C₂³	semidirect
651. C₂³	H(5,𝔽₂)	semidirect
699. D₄	H(5,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
#3558	2
#3543	2
#3542	2
#3537	2
#3534	2
#3532	2
#3519	2
#3513	2
#3505	2
#3496	2
#3490	2
#3488	2
#3484	2
C₂×#546	2
C₂×D₄²	2
#3459	2
C₂×#534	2