Subgroups — #62990

Order 256.

3674 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3521	C₂	1	4	yes	maximal, complemented
2	#3521	C₂	1	4	yes	maximal, complemented
3	#3520	C₂	1	4	yes	maximal, complemented
4	#3514	C₂	1	4	yes	maximal, complemented
5	#3513	C₂	1	4	yes	maximal, complemented
6	#3513	C₂	1	4	yes	maximal, complemented
7	#3510	C₂	1	2	yes	maximal, complemented
8	#3505	C₂	1	4	yes	maximal, complemented
9	#3501	C₂	1	1	yes	maximal, characteristic, complemented
10	#3495	C₂	1	2	yes	maximal, complemented
11	#3494	C₂	1	2	yes	maximal, complemented
12	#3491	C₂	1	4	yes	maximal, complemented
13	#3490	C₂	1	4	yes	maximal, complemented
14	#3485	C₂	1	1	yes	maximal, characteristic, complemented
15	#3484	C₂	1	1	yes	maximal, characteristic, complemented
16	#3481	C₂	1	4	yes	maximal, complemented
17	#3475	C₂	1	2	yes	maximal, complemented
18	#3475	C₂	1	4	yes	maximal, complemented
19	C₂×#551	C₂	1	4	yes	maximal, complemented
20	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
22	#3428	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
25	C₂²×#41	C₂²	1	1	yes	characteristic
26	C₂³×D₄	C₂²	1	1	yes	characteristic
27	#559	C₂²	1	4	yes	complemented
28	#559	C₂²	1	4	yes	complemented
29	#556	C₂²	1	2	yes	complemented
30	#556	C₂²	1	4	yes	complemented
31	#556	C₂²	1	4	yes	complemented
32	#556	C₂²	1	4	yes	complemented
33	#555	C₂²	1	2	yes	complemented
34	#555	C₂²	1	4	yes	complemented
35	#554	C₂²	1	2	yes	complemented
36	#554	C₂²	1	4	yes	complemented
37	#554	C₂²	1	4	yes	complemented
38	#554	C₂²	1	4	yes	complemented
39	#554	C₂²	1	4	yes	complemented
40	#553	C₂²	1	2	yes	complemented
41	#553	C₂²	1	2	yes	complemented
42	#553	C₂²	1	8	yes	complemented
43	#553	C₂²	1	4	yes	complemented
44	#553	C₂²	1	8	yes	complemented
45	#553	C₂²	1	4	yes	complemented
46	#553	C₂²	1	8	yes	complemented
47	#552	C₂²	1	2	yes	complemented
48	#552	C₂²	1	4	yes	complemented
49	#552	C₂²	1	4	yes	complemented
50	#552	C₂²	1	8	yes	complemented
51	#552	C₂²	1	2	yes	complemented
52	#552	C₂²	1	4	yes	complemented
53	#552	C₂²	1	8	yes	complemented
54	#552	C₂²	1	8	yes	complemented
55	#551	C₂²	1	4	yes	complemented
56	#551	C₂²	1	8	yes	complemented
57	#551	C₂²	1	8	yes	complemented
58	#551	C₂²	1	8	yes	complemented
59	#551	C₂²	1	8	yes	complemented
60	#551	C₂²	1	8	yes	complemented
61	#551	C₂²	1	8	yes	complemented
62	#551	C₂²	1	4	yes	complemented
63	#551	C₂²	1	8	yes	complemented
64	#551	C₂²	1	8	yes	complemented
65	#551	C₂²	1	8	yes	complemented
66	#551	C₂²	1	8	yes	complemented
67	#551	C₂²	1	8	yes	complemented
68	#551	C₂²	1	8	yes	complemented
69	D₄×Q₈	C₂²	1	4	yes	complemented
70	#548	C₂²	1	8	yes	complemented
71	#547	C₂²	1	2	yes	complemented
72	#547	C₂²	1	4	yes	complemented
73	#547	C₂²	1	4	yes	complemented
74	#547	C₂²	1	4	yes	complemented
75	#546	C₂²	1	4	yes	complemented
76	#546	C₂²	1	4	yes	complemented
77	#546	C₂²	1	4	yes	complemented
78	#546	C₂²	1	4	yes	complemented
79	#546	C₂²	1	4	yes	complemented
80	#546	C₂²	1	4	yes	complemented
81	#546	C₂²	1	4	yes	complemented
82	#546	C₂²	1	8	yes	complemented
83	#546	C₂²	1	8	yes	complemented
84	#546	C₂²	1	8	yes	complemented
85	#546	C₂²	1	4	yes	complemented
86	#546	C₂²	1	4	yes	complemented
87	D₄²	C₂²	1	4	yes	complemented
88	D₄²	C₂²	1	4	yes	complemented
89	#544	C₂²	1	2	yes	complemented
90	#543	C₂²	1	4	yes	complemented
91	#542	C₂²	1	4	yes	complemented
92	#542	C₂²	1	4	yes	complemented
93	#542	C₂²	1	4	yes	complemented
94	#542	C₂²	1	4	yes	complemented
95	#541	C₂²	1	4	yes	complemented
96	#540	C₂²	1	4	yes	complemented
97	#539	C₂²	1	8	yes	complemented
98	#539	C₂²	1	8	yes	complemented
99	#539	C₂²	1	8	yes	complemented
100	#538	C₂²	1	8	yes	complemented
101	#538	C₂²	1	8	yes	complemented
102	#538	C₂²	1	8	yes	complemented
103	#536	C₂²	1	2	yes	complemented
104	#535	C₂²	1	2	yes	—
105	#534	C₂²	1	4	yes	—
106	#534	C₂²	1	4	yes	complemented
107	#533	C₂²	1	4	yes	complemented
108	#533	C₂²	1	2	yes	complemented
109	#532	C₂²	1	4	yes	complemented
110	#529	C₂²	1	4	yes	complemented
111	#529	C₂²	1	4	yes	complemented
112	#529	C₂²	1	4	yes	complemented
113	#529	C₂²	1	4	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	4	yes	complemented
118	#529	C₂²	1	4	yes	complemented
119	#529	C₂²	1	4	yes	complemented
120	C₂×#126	C₂²	1	4	yes	complemented
121	C₂×#126	C₂²	1	4	yes	complemented
122	C₂×#124	C₂²	1	1	yes	characteristic, complemented
123	C₂×#124	C₂²	1	4	yes	complemented
124	#525	C₂²	1	2	yes	—
125	#525	C₂²	1	2	yes	complemented
126	#525	C₂²	1	8	yes	complemented
127	#525	C₂²	1	8	yes	complemented
128	#525	C₂²	1	8	yes	complemented
129	C₂×#123	C₂²	1	2	yes	complemented
130	C₂×#123	C₂²	1	4	yes	complemented
131	C₂×#123	C₂²	1	4	yes	complemented
132	C₂×#123	C₂²	1	4	yes	complemented
133	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
135	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
136	C₂×#121	C₂²	1	1	yes	characteristic, complemented
137	C₂×#121	C₂²	1	2	yes	complemented
138	C₂×#120	C₂²	1	4	yes	—
139	C₂×#120	C₂²	1	2	yes	complemented
140	#520	C₂²	1	2	yes	complemented
141	#520	C₂²	1	4	yes	complemented
142	#520	C₂²	1	4	yes	complemented
143	#520	C₂²	1	4	yes	complemented
144	#519	C₂²	1	2	yes	complemented
145	#518	C₂²	1	1	yes	characteristic
146	#518	C₂²	1	1	yes	characteristic
147	#518	C₂²	1	1	yes	characteristic
148	#518	C₂²	1	4	yes	complemented
149	#518	C₂²	1	2	yes	complemented
150	#518	C₂²	1	4	yes	complemented
151	#518	C₂²	1	4	yes	complemented
152	#518	C₂²	1	4	yes	complemented
153	#518	C₂²	1	4	yes	complemented
154	#518	C₂²	1	4	yes	complemented
155	C₄×#41	C₂²	1	2	yes	complemented
156	C₄×#41	C₂²	1	4	yes	complemented
157	C₄×#41	C₂²	1	4	yes	complemented
158	C₄×#41	C₂²	1	4	yes	complemented
159	C₄×#41	C₂²	1	4	yes	complemented
160	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
161	C₂×C₄×D₄	C₂²	1	4	yes	complemented
162	C₂×C₄×D₄	C₂²	1	4	yes	complemented
163	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄×D₄	C₂²	1	4	yes	complemented
165	C₂×C₄×D₄	C₂²	1	4	yes	complemented
166	C₂×C₄×D₄	C₂²	1	4	yes	complemented
167	C₂×#117	C₂²	1	2	yes	complemented
168	C₂×#117	C₂²	1	4	yes	complemented
169	C₂×#117	C₂²	1	2	yes	complemented
170	C₂×#117	C₂²	1	4	yes	complemented
171	C₂²×C₂²⋊C₄	C₂²	1	4	yes	complemented
172	C₂²×C₂²⋊C₄	C₂²	1	2	yes	complemented
173	C₂⁵	C₂³	1	2	yes	—
174	H(5,𝔽₂)	—	2	8	no	—
175	C₂×#41	—	2	8	no	—
176	C₂×#41	C₂³	1	4	yes	—
177	C₂×#41	C₂³	1	2	yes	—
178	C₂×#41	C₂³	1	4	yes	—
179	C₂×#41	C₂³	1	4	yes	—
180	C₂×#41	C₂³	1	4	yes	—
181	C₂×#41	C₂³	1	8	yes	complemented
182	C₂²×Q₈	C₂³	1	1	yes	characteristic
183	C₂²×Q₈	C₂³	1	4	yes	complemented
184	C₂²×D₄	—	2	8	no	—
185	C₂²×D₄	C₂³	1	4	yes	—
186	C₂²×D₄	C₂³	1	4	yes	—
187	C₂²×D₄	C₂³	1	4	yes	—
188	C₂²×D₄	C₂³	1	2	yes	—
189	C₂²×D₄	C₂³	1	2	yes	—
190	C₂²×D₄	C₂³	1	1	yes	characteristic
191	C₂²×D₄	C₂³	1	4	yes	—
192	C₂²×D₄	C₂³	1	4	yes	—
193	C₂²×D₄	C₂³	1	1	yes	characteristic
194	C₂²×D₄	C₂³	1	4	yes	—
195	C₂²×D₄	C₂³	1	2	yes	—
196	C₂²×D₄	C₂³	1	1	yes	characteristic
197	C₂³×C₄	C₂³	1	2	yes	—
198	C₂³×C₄	C₂³	1	1	yes	characteristic
199	C₂³×C₄	C₂³	1	1	yes	characteristic
200	C₂³×C₄	C₂³	1	4	yes	—
201	C₂³×C₄	C₂³	1	2	yes	—
202	C₂³×C₄	C₂³	1	4	yes	—
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	2	yes	complemented
208	C₄⋊Q₈	C₂³	1	4	yes	complemented
209	#127	C₂³	1	4	yes	—
210	#126	C₂³	1	4	yes	—
211	#126	C₂³	1	4	yes	—
212	#126	C₂³	1	8	yes	—
213	#126	C₂³	1	8	yes	—
214	#126	C₂³	1	8	yes	complemented
215	#126	C₂³	1	8	yes	complemented
216	#126	C₂³	1	8	yes	complemented
217	#126	C₂³	1	8	yes	complemented
218	#126	C₂³	1	4	yes	complemented
219	#126	C₂³	1	4	yes	complemented
220	#126	C₂³	1	8	yes	complemented
221	#126	C₂³	1	8	yes	complemented
222	#126	C₂³	1	8	yes	complemented
223	#126	C₂³	1	8	yes	complemented
224	#126	C₂³	1	4	yes	complemented
225	#126	C₂³	1	4	yes	complemented
226	#125	C₂³	1	4	yes	complemented
227	#125	C₂³	1	2	yes	complemented
228	#125	C₂³	1	2	yes	complemented
229	#125	C₂³	1	4	yes	complemented
230	#125	C₂³	1	4	yes	complemented
231	#125	C₂³	1	8	yes	complemented
232	#125	C₂³	1	8	yes	complemented
233	#125	C₂³	1	4	yes	complemented
234	#125	C₂³	1	4	yes	complemented
235	#125	C₂³	1	8	yes	complemented
236	#124	C₂³	1	4	yes	—
237	#124	C₂³	1	4	yes	—
238	#124	C₂³	1	8	yes	—
239	#124	C₂³	1	4	yes	—
240	#124	C₂³	1	4	yes	—
241	#124	C₂³	1	4	yes	—
242	#124	C₂³	1	8	yes	complemented
243	#124	C₂³	1	8	yes	complemented
244	#124	C₂³	1	4	yes	complemented
245	#124	C₂³	1	4	yes	complemented
246	#124	C₂³	1	8	yes	complemented
247	#124	C₂³	1	8	yes	complemented
248	#123	C₂³	1	4	yes	—
249	#123	C₂³	1	4	yes	—
250	#123	C₂³	1	4	yes	—
251	#123	C₂³	1	8	yes	—
252	#123	C₂³	1	8	yes	—
253	#123	C₂³	1	8	yes	—
254	#123	C₂³	1	8	yes	—
255	#123	C₂³	1	8	yes	—
256	#123	C₂³	1	4	yes	—
257	#123	C₂³	1	4	yes	—
258	#123	C₂³	1	8	yes	—
259	#123	C₂³	1	4	yes	—
260	#123	C₂³	1	8	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	4	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	4	yes	complemented
271	#123	C₂³	1	8	yes	complemented
272	#123	C₂³	1	8	yes	complemented
273	C₂²⋊Q₈	C₂³	1	4	yes	—
274	C₂²⋊Q₈	C₂³	1	4	yes	—
275	C₂²⋊Q₈	C₂³	1	8	yes	—
276	C₂²⋊Q₈	C₂³	1	4	yes	—
277	C₂²⋊Q₈	C₂³	1	4	yes	—
278	C₂²⋊Q₈	C₂³	1	8	yes	—
279	C₂²⋊Q₈	C₂³	1	2	yes	—
280	C₂²⋊Q₈	C₂³	1	2	yes	—
281	C₂²⋊Q₈	C₂³	1	4	yes	—
282	C₂²⋊Q₈	C₂³	1	8	yes	complemented
283	C₂²⋊Q₈	C₂³	1	8	yes	complemented
284	C₂²⋊Q₈	C₂³	1	8	yes	complemented
285	C₂²⋊Q₈	C₂³	1	8	yes	complemented
286	C₂²⋊Q₈	C₂³	1	2	yes	complemented
287	C₂²⋊Q₈	C₂³	1	8	yes	complemented
288	C₂²⋊Q₈	C₂³	1	8	yes	complemented
289	C₂²⋊Q₈	C₂³	1	8	yes	complemented
290	C₂²⋊Q₈	C₂³	1	8	yes	complemented
291	C₂²⋊Q₈	C₂³	1	2	yes	complemented
292	C₂²⋊Q₈	C₂³	1	4	yes	complemented
293	C₂²⋊Q₈	C₂³	1	4	yes	complemented
294	C₂²⋊Q₈	C₂³	1	4	yes	complemented
295	C₂²⋊Q₈	C₂³	1	4	yes	complemented
296	C₂²⋊Q₈	C₂³	1	8	yes	complemented
297	C₂²⋊Q₈	C₂³	1	8	yes	complemented
298	#121	C₂³	1	8	yes	—
299	#121	C₂³	1	4	yes	—
300	#121	C₂³	1	8	yes	—
301	#121	C₂³	1	4	yes	—
302	#121	C₂³	1	2	yes	—
303	#121	C₂³	1	2	yes	—
304	#121	C₂³	1	4	yes	—
305	#121	C₂³	1	8	yes	—
306	#121	C₂³	1	8	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	2	yes	complemented
312	#121	C₂³	1	8	yes	complemented
313	#121	C₂³	1	8	yes	complemented
314	#121	C₂³	1	8	yes	complemented
315	#121	C₂³	1	8	yes	complemented
316	#121	C₂³	1	2	yes	complemented
317	#121	C₂³	1	8	yes	complemented
318	#120	C₂³	1	4	yes	—
319	#120	C₂³	1	8	yes	—
320	#120	C₂³	1	8	yes	—
321	#120	C₂³	1	8	yes	—
322	#120	C₂³	1	8	yes	—
323	#120	C₂³	1	8	yes	—
324	#120	C₂³	1	8	yes	—
325	#120	C₂³	1	4	yes	—
326	#120	C₂³	1	8	yes	complemented
327	C₄×Q₈	C₂³	1	2	yes	complemented
328	C₄×Q₈	C₂³	1	4	yes	complemented
329	C₄×Q₈	C₂³	1	4	yes	complemented
330	C₄×Q₈	C₂³	1	4	yes	complemented
331	C₄×Q₈	C₂³	1	4	yes	complemented
332	C₄×Q₈	C₂³	1	4	yes	complemented
333	C₄×Q₈	C₂³	1	2	yes	complemented
334	C₄×Q₈	C₂³	1	4	yes	complemented
335	C₄×Q₈	C₂³	1	4	yes	complemented
336	C₄×Q₈	C₂³	1	8	yes	complemented
337	C₄×Q₈	C₂³	1	4	yes	complemented
338	C₄×D₄	C₂³	1	4	yes	—
339	C₄×D₄	C₂³	1	4	yes	—
340	C₄×D₄	C₂³	1	4	yes	—
341	C₄×D₄	C₂³	1	4	yes	—
342	C₄×D₄	C₂³	1	4	yes	—
343	C₄×D₄	C₂³	1	4	yes	—
344	C₄×D₄	C₂³	1	2	yes	—
345	C₄×D₄	C₂³	1	4	yes	—
346	C₄×D₄	C₂³	1	4	yes	—
347	C₄×D₄	C₂³	1	8	yes	—
348	C₄×D₄	C₂³	1	8	yes	—
349	C₄×D₄	C₂³	1	4	yes	—
350	C₄×D₄	C₂³	1	4	yes	—
351	C₄×D₄	C₂³	1	4	yes	—
352	C₄×D₄	C₂³	1	8	yes	—
353	C₄×D₄	C₂³	1	8	yes	—
354	C₄×D₄	C₂³	1	4	yes	—
355	C₄×D₄	C₂³	1	8	yes	—
356	C₄×D₄	C₂³	1	8	yes	—
357	C₄×D₄	C₂³	1	2	yes	—
358	C₄×D₄	C₂³	1	2	yes	—
359	C₄×D₄	C₂³	1	2	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	4	yes	—
364	C₄×D₄	C₂³	1	4	yes	—
365	C₄×D₄	C₂³	1	4	yes	—
366	C₄×D₄	C₂³	1	8	yes	complemented
367	C₄×D₄	C₂³	1	2	yes	complemented
368	C₄×D₄	C₂³	1	8	yes	complemented
369	C₄×D₄	C₂³	1	4	yes	complemented
370	C₄×D₄	C₂³	1	8	yes	complemented
371	C₄×D₄	C₂³	1	8	yes	complemented
372	C₄×D₄	C₂³	1	8	yes	complemented
373	C₄×D₄	C₂³	1	8	yes	complemented
374	C₄×D₄	C₂³	1	2	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	4	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	8	yes	complemented
384	#117	C₂³	1	4	yes	—
385	#117	C₂³	1	2	yes	—
386	#117	C₂³	1	4	yes	—
387	#117	C₂³	1	2	yes	—
388	#117	C₂³	1	2	yes	—
389	#117	C₂³	1	4	yes	—
390	#117	C₂³	1	4	yes	—
391	#117	C₂³	1	2	yes	—
392	#117	C₂³	1	2	yes	—
393	#117	C₂³	1	8	yes	—
394	#117	C₂³	1	8	yes	—
395	#117	C₂³	1	8	yes	complemented
396	#117	C₂³	1	2	yes	complemented
397	#117	C₂³	1	2	yes	complemented
398	#117	C₂³	1	4	yes	complemented
399	#117	C₂³	1	8	yes	complemented
400	#117	C₂³	1	8	yes	complemented
401	#117	C₂³	1	8	yes	complemented
402	#117	C₂³	1	4	yes	complemented
403	#117	C₂³	1	8	yes	complemented
404	#117	C₂³	1	4	yes	complemented
405	#117	C₂³	1	4	yes	complemented
406	#117	C₂³	1	4	yes	complemented
407	#117	C₂³	1	8	yes	complemented
408	#117	C₂³	1	8	yes	complemented
409	C₂×C₄⋊C₄	C₂³	1	2	yes	—
410	C₂×C₄⋊C₄	C₂³	1	2	yes	—
411	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×C₄⋊C₄	C₂³	1	2	yes	—
414	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
415	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
416	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
417	C₂×C₄⋊C₄	C₂³	1	2	yes	complemented
418	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
419	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
420	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
421	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
422	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
423	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
424	C₂×C₄⋊C₄	C₂³	1	4	yes	complemented
425	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
426	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
428	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
429	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
430	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
431	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
432	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
433	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
434	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
435	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
436	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
437	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
438	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
439	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
440	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
441	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
442	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
443	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
444	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
445	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
446	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
447	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
448	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
449	C₂×C₂²⋊C₄	C₂³	1	8	yes	complemented
450	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
451	C₂×C₂²⋊C₄	C₂³	1	4	yes	complemented
452	C₂×C₄²	C₂³	1	4	yes	—
453	C₂×C₄²	C₂³	1	1	yes	characteristic
454	C₂×C₄²	C₂³	1	4	yes	complemented
455	C₂×C₄²	C₂³	1	4	yes	complemented
456	C₂×C₄²	C₂³	1	4	yes	complemented
457	C₂×C₄²	C₂³	1	4	yes	complemented
458	C₂×C₄²	C₂³	1	4	yes	complemented
459	C₂⁴	—	2	8	no	—
460	C₂⁴	—	4	4	no	—
461	C₂⁴	—	8	2	no	—
462	C₂⁴	C₂⁴	1	1	yes	characteristic
463	C₂⁴	C₂⁴	1	4	yes	—
464	C₂⁴	C₂⁴	1	4	yes	—
465	C₂⁴	C₂⁴	1	2	yes	—
466	C₂⁴	C₂⁴	1	1	yes	characteristic
467	C₂⁴	C₂⁴	1	4	yes	—
468	C₂⁴	C₂⁴	1	2	yes	—
469	#41	—	2	16	no	—
470	#41	—	2	16	no	—
471	#41	—	2	16	no	—
472	#41	—	2	8	no	—
473	#41	—	4	8	no	—
474	#41	—	8	8	no	—
475	C₂×Q₈	—	2	4	no	—
476	C₂×Q₈	—	8	4	no	—
477	C₂×Q₈	C₂⁴	1	4	yes	—
478	C₂×Q₈	C₂⁴	1	2	yes	—
479	C₂×Q₈	C₂⁴	1	4	yes	—
480	C₂×Q₈	C₂⁴	1	4	yes	—
481	C₂×Q₈	C₂⁴	1	8	yes	—
482	C₂×D₄	—	2	8	no	—
483	C₂×D₄	—	2	8	no	—
484	C₂×D₄	—	2	16	no	—
485	C₂×D₄	—	2	16	no	—
486	C₂×D₄	—	2	16	no	—
487	C₂×D₄	—	2	16	no	—
488	C₂×D₄	—	2	4	no	—
489	C₂×D₄	—	4	8	no	—
490	C₂×D₄	—	4	2	no	—
491	C₂×D₄	—	8	2	no	—
492	C₂×D₄	—	8	4	no	—
493	C₂×D₄	#41	1	8	yes	complemented
494	C₂×D₄	C₂⁴	1	2	yes	—
495	C₂×D₄	C₂⁴	1	4	yes	—
496	C₂×D₄	C₂⁴	1	4	yes	—
497	C₂×D₄	C₂⁴	1	8	yes	—
498	C₂×D₄	C₂⁴	1	4	yes	—
499	C₂×D₄	C₂⁴	1	8	yes	—
500	C₂×D₄	C₂⁴	1	8	yes	—
501	C₂×D₄	C₂⁴	1	2	yes	—
502	C₂×D₄	C₂⁴	1	2	yes	—
503	C₂×D₄	C₂⁴	1	4	yes	—
504	C₂×D₄	C₂⁴	1	8	yes	—
505	C₂×D₄	C₂⁴	1	4	yes	—
506	C₂×D₄	C₂⁴	1	8	yes	—
507	C₂×D₄	C₂⁴	1	8	yes	—
508	C₂×D₄	C₂⁴	1	4	yes	—
509	C₂×D₄	C₂⁴	1	4	yes	—
510	C₂²×C₄	—	2	8	no	—
511	C₂²×C₄	—	2	4	no	—
512	C₂²×C₄	—	2	4	no	—
513	C₂²×C₄	—	4	8	no	—
514	C₂²×C₄	—	8	2	no	—
515	C₂²×C₄	—	8	4	no	—
516	C₂²×C₄	—	8	4	no	—
517	C₂²×C₄	C₂⁴	1	2	yes	—
518	C₂²×C₄	C₂⁴	1	4	yes	—
519	C₂²×C₄	C₂⁴	1	4	yes	—
520	C₂²×C₄	C₂⁴	1	2	yes	—
521	C₂²×C₄	C₂⁴	1	4	yes	—
522	C₂²×C₄	C₂⁴	1	4	yes	—
523	C₂²×C₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄	C₂⁴	1	2	yes	—
525	C₂²×C₄	C₂⁴	1	4	yes	—
526	C₂²×C₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄	C₂⁴	1	2	yes	—
528	C₂²×C₄	C₂⁴	1	2	yes	—
529	C₂²×C₄	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴	1	4	yes	—
532	C₂²×C₄	C₂⁴	1	4	yes	—
533	C₂²×C₄	C₂⁴	1	4	yes	—
534	C₂²×C₄	C₂⁴	1	4	yes	—
535	C₂²×C₄	C₂⁴	1	4	yes	—
536	C₂²×C₄	C₂⁴	1	4	yes	—
537	C₂²×C₄	C₂⁴	1	4	yes	—
538	C₂²×C₄	C₂⁴	1	4	yes	—
539	C₂²×C₄	C₂⁴	1	4	yes	—
540	C₂²×C₄	C₂⁴	1	4	yes	—
541	C₂²×C₄	C₂⁴	1	2	yes	—
542	C₂²×C₄	C₂⁴	1	4	yes	—
543	C₂²×C₄	C₂⁴	1	4	yes	—
544	C₂²×C₄	C₂⁴	1	4	yes	—
545	C₂²×C₄	C₂⁴	1	8	yes	—
546	C₂²×C₄	C₂⁴	1	8	yes	—
547	C₂²×C₄	C₂⁴	1	8	yes	—
548	C₂²×C₄	C₂⁴	1	1	yes	characteristic
549	C₄⋊C₄	C₂⁴	1	2	yes	—
550	C₄⋊C₄	C₂⁴	1	2	yes	—
551	C₄⋊C₄	C₂⁴	1	4	yes	—
552	C₄⋊C₄	C₂⁴	1	2	yes	—
553	C₄⋊C₄	C₂⁴	1	2	yes	—
554	C₄⋊C₄	C₂⁴	1	4	yes	—
555	C₄⋊C₄	C₂⁴	1	4	yes	—
556	C₄⋊C₄	C₂⁴	1	2	yes	—
557	C₄⋊C₄	C₂⁴	1	8	yes	—
558	C₄⋊C₄	C₂⁴	1	2	yes	—
559	C₄⋊C₄	C₂⁴	1	4	yes	—
560	C₄⋊C₄	C₂⁴	1	4	yes	—
561	C₄⋊C₄	C₂⁴	1	4	yes	—
562	C₄⋊C₄	C₂⁴	1	4	yes	—
563	C₄⋊C₄	C₂⁴	1	4	yes	—
564	C₄⋊C₄	C₂⁴	1	4	yes	—
565	C₄⋊C₄	C₂⁴	1	8	yes	—
566	C₄⋊C₄	C₂⁴	1	4	yes	—
567	C₄⋊C₄	C₂⁴	1	4	yes	—
568	C₄⋊C₄	C₂⁴	1	2	yes	—
569	C₄⋊C₄	C₂⁴	1	2	yes	—
570	C₄⋊C₄	C₂⁴	1	8	yes	—
571	C₄⋊C₄	C₂⁴	1	8	yes	—
572	C₄⋊C₄	C₂⁴	1	8	yes	—
573	C₄⋊C₄	C₂⁴	1	8	yes	—
574	C₄⋊C₄	C₂⁴	1	8	yes	—
575	C₄⋊C₄	C₂⁴	1	8	yes	—
576	C₄⋊C₄	C₂⁴	1	8	yes	—
577	C₄⋊C₄	C₂⁴	1	4	yes	—
578	C₄⋊C₄	C₂⁴	1	4	yes	—
579	C₄⋊C₄	C₂⁴	1	4	yes	—
580	C₄⋊C₄	C₂⁴	1	4	yes	—
581	C₄⋊C₄	C₂⁴	1	4	yes	—
582	C₄⋊C₄	C₂⁴	1	4	yes	—
583	C₂²⋊C₄	C₂⁴	1	4	yes	—
584	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₂²⋊C₄	C₂⁴	1	4	yes	—
586	C₂²⋊C₄	C₂⁴	1	4	yes	—
587	C₂²⋊C₄	C₂⁴	1	4	yes	—
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	8	yes	—
592	C₂²⋊C₄	C₂⁴	1	4	yes	—
593	C₂²⋊C₄	C₂⁴	1	4	yes	—
594	C₂²⋊C₄	C₂⁴	1	4	yes	—
595	C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
600	C₂²⋊C₄	C₂⁴	1	4	yes	—
601	C₂²⋊C₄	C₂⁴	1	4	yes	—
602	C₂²⋊C₄	C₂⁴	1	4	yes	—
603	C₂²⋊C₄	C₂⁴	1	4	yes	—
604	C₂²⋊C₄	C₂⁴	1	8	yes	—
605	C₂²⋊C₄	C₂⁴	1	8	yes	—
606	C₂²⋊C₄	C₂⁴	1	2	yes	—
607	C₂²⋊C₄	C₂⁴	1	4	yes	—
608	C₂²⋊C₄	C₂⁴	1	4	yes	—
609	C₂²⋊C₄	C₂⁴	1	8	yes	—
610	C₂²⋊C₄	C₂⁴	1	8	yes	—
611	C₂²⋊C₄	C₂⁴	1	8	yes	—
612	C₂²⋊C₄	C₂⁴	1	2	yes	—
613	C₂²⋊C₄	C₂⁴	1	4	yes	—
614	C₂²⋊C₄	C₂⁴	1	8	yes	—
615	C₂²⋊C₄	C₂⁴	1	4	yes	—
616	C₂²⋊C₄	C₂⁴	1	4	yes	—
617	C₂²⋊C₄	C₂⁴	1	4	yes	—
618	C₂²⋊C₄	C₂⁴	1	8	yes	—
619	C₂²⋊C₄	C₂⁴	1	8	yes	—
620	C₂²⋊C₄	C₂⁴	1	4	yes	—
621	C₂²⋊C₄	C₂⁴	1	4	yes	—
622	C₂²⋊C₄	C₂⁴	1	4	yes	—
623	C₂²⋊C₄	C₂⁴	1	4	yes	—
624	C₄²	C₂⁴	1	4	yes	—
625	C₄²	C₂⁴	1	2	yes	—
626	C₄²	C₂⁴	1	4	yes	—
627	C₄²	C₂⁴	1	4	yes	—
628	C₄²	C₂⁴	1	4	yes	—
629	C₄²	C₂⁴	1	2	yes	—
630	C₄²	C₂⁴	1	4	yes	—
631	C₄²	C₂⁴	1	4	yes	—
632	C₄²	C₂⁴	1	4	yes	—
633	C₄²	C₂⁴	1	8	yes	—
634	C₄²	C₂⁴	1	8	yes	—
635	C₄²	C₂⁴	1	8	yes	—
636	C₄²	C₂⁴	1	4	yes	—
637	C₄²	C₂⁴	1	4	yes	—
638	C₂³	—	2	2	no	—
639	C₂³	—	2	8	no	—
640	C₂³	—	2	8	no	—
641	C₂³	—	2	2	no	—
642	C₂³	—	2	2	no	—
643	C₂³	—	2	8	no	—
644	C₂³	—	2	8	no	—
645	C₂³	—	2	4	no	—
646	C₂³	—	4	2	no	—
647	C₂³	—	4	4	no	—
648	C₂³	—	4	2	no	—
649	C₂³	—	4	1	no	—
650	C₂³	—	4	4	no	—
651	C₂³	—	4	4	no	—
652	C₂³	—	4	1	no	—
653	C₂³	—	4	1	no	—
654	C₂³	—	4	4	no	—
655	C₂³	—	4	2	no	—
656	C₂³	—	4	4	no	—
657	C₂³	—	4	2	no	—
658	C₂³	—	8	16	no	—
659	C₂³	C₂×#41	1	8	yes	—
660	C₂³	C₂⁵	1	1	yes	characteristic
661	C₂³	C₂⁵	1	4	yes	—
662	C₂³	C₂⁵	1	4	yes	—
663	C₂³	C₂⁵	1	2	yes	—
664	C₂³	C₂⁵	1	1	yes	characteristic
665	C₂³	C₂⁵	1	4	yes	—
666	C₂³	C₂⁵	1	1	yes	characteristic
667	Q₈	—	2	8	no	—
668	Q₈	—	2	4	no	—
669	Q₈	—	4	4	no	—
670	Q₈	—	4	8	no	—
671	Q₈	—	4	4	no	—
672	D₄	—	2	16	no	—
673	D₄	—	2	8	no	—
674	D₄	—	2	16	no	—
675	D₄	—	2	16	no	—
676	D₄	—	2	8	no	—
677	D₄	—	2	4	no	—
678	D₄	—	2	8	no	—
679	D₄	—	2	4	no	—
680	D₄	—	4	8	no	—
681	D₄	—	4	2	no	—
682	D₄	—	4	4	no	—
683	D₄	—	4	8	no	—
684	D₄	—	4	8	no	—
685	D₄	—	4	4	no	—
686	D₄	—	4	4	no	—
687	D₄	C₂×#41	1	16	yes	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	4	no	—
691	C₂×C₄	—	2	8	no	—
692	C₂×C₄	—	2	8	no	—
693	C₂×C₄	—	2	8	no	—
694	C₂×C₄	—	2	8	no	—
695	C₂×C₄	—	2	4	no	—
696	C₂×C₄	—	2	4	no	—
697	C₂×C₄	—	2	4	no	—
698	C₂×C₄	—	2	4	no	—
699	C₂×C₄	—	2	8	no	—
700	C₂×C₄	—	4	4	no	—
701	C₂×C₄	—	4	8	no	—
702	C₂×C₄	—	4	4	no	—
703	C₂×C₄	—	4	4	no	—
704	C₂×C₄	—	4	4	no	—
705	C₂×C₄	—	4	4	no	—
706	C₂×C₄	—	4	4	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	4	2	no	—
709	C₂×C₄	—	4	4	no	—
710	C₂×C₄	—	4	4	no	—
711	C₂×C₄	—	4	8	no	—
712	C₂×C₄	—	4	8	no	—
713	C₂×C₄	—	4	4	no	—
714	C₂×C₄	—	4	1	no	—
715	C₂×C₄	—	4	4	no	—
716	C₂×C₄	—	4	4	no	—
717	C₂×C₄	—	4	4	no	—
718	C₂×C₄	—	4	4	no	—
719	C₂×C₄	C₂×#41	1	4	yes	—
720	C₂×C₄	C₂⁵	1	1	yes	characteristic
721	C₂×C₄	C₂⁵	1	4	yes	—
722	C₂×C₄	C₂⁵	1	4	yes	—
723	C₂×C₄	C₂⁵	1	1	yes	characteristic
724	C₂×C₄	C₂⁵	1	4	yes	—
725	C₂×C₄	C₂⁵	1	2	yes	—
726	C₂×C₄	C₂⁵	1	4	yes	—
727	C₂×C₄	C₂⁵	1	4	yes	—
728	C₂×C₄	C₂⁵	1	4	yes	—
729	C₂×C₄	C₂⁵	1	2	yes	—
730	C₂×C₄	C₂⁵	1	1	yes	characteristic
731	C₂×C₄	C₂⁵	1	4	yes	—
732	C₂×C₄	C₂⁵	1	4	yes	—
733	C₂×C₄	C₂⁵	1	4	yes	—
734	C₂×C₄	C₂⁵	1	1	yes	characteristic
735	C₂×C₄	C₂⁵	1	2	yes	—
736	C₂²	—	2	1	no	—
737	C₂²	—	2	4	no	—
738	C₂²	—	2	1	no	—
739	C₂²	—	2	4	no	—
740	C₂²	—	2	1	no	—
741	C₂²	—	2	1	no	—
742	C₂²	—	2	2	no	—
743	C₂²	—	2	1	no	—
744	C₂²	—	2	4	no	—
745	C₂²	—	2	4	no	—
746	C₂²	—	2	2	no	—
747	C₂²	—	2	4	no	—
748	C₂²	—	2	4	no	—
749	C₂²	—	2	1	no	—
750	C₂²	—	2	4	no	—
751	C₂²	—	2	2	no	—
752	C₂²	—	2	4	no	—
753	C₂²	—	2	1	no	—
754	C₂²	—	4	8	no	—
755	C₂²	—	4	16	no	—
756	C₂²	—	4	4	no	—
757	C₂²	—	8	2	no	—
758	C₂²	—	8	8	no	—
759	C₂²	—	8	4	no	—
760	C₂²	—	8	8	no	—
761	C₂²	C₂²×#41	1	2	yes	—
762	C₂²	C₂²×#41	1	8	yes	—
763	C₂²	#585	1	2	yes	—
764	C₂²	C₂⁶	1	1	yes	characteristic
765	C₄	—	2	1	no	—
766	C₄	—	2	1	no	—
767	C₄	—	2	2	no	—
768	C₄	—	2	4	no	—
769	C₄	—	2	4	no	—
770	C₄	—	2	4	no	—
771	C₄	—	2	4	no	—
772	C₄	—	2	4	no	—
773	C₄	—	2	2	no	—
774	C₄	—	2	1	no	—
775	C₄	—	2	4	no	—
776	C₄	—	2	4	no	—
777	C₄	—	2	4	no	—
778	C₄	—	2	1	no	—
779	C₄	—	2	4	no	—
780	C₄	C₂²×#41	1	4	yes	—
781	C₂	—	2	2	no	—
782	C₂	—	2	2	no	—
783	C₂	—	2	8	no	—
784	C₂	—	4	4	no	—
785	C₂	—	4	1	no	—
786	C₂	—	4	2	no	—
787	C₂	—	4	4	no	—
788	C₂	C₂³×#41	1	1	yes	characteristic
789	C₂	C₂×#585	1	1	yes	characteristic
790	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. #3521	C₂	semidirect
2. #3521	C₂	semidirect
3. #3520	C₂	semidirect
4. #3514	C₂	semidirect
5. #3513	C₂	semidirect
6. #3513	C₂	semidirect
7. #3510	C₂	semidirect
8. #3505	C₂	semidirect
9. #3501	C₂	semidirect
10. #3495	C₂	semidirect
11. #3494	C₂	semidirect
12. #3491	C₂	semidirect
13. #3490	C₂	semidirect
14. #3485	C₂	semidirect
15. #3484	C₂	semidirect
16. #3481	C₂	semidirect
17. #3475	C₂	semidirect
18. #3475	C₂	semidirect
19. C₂×#551	C₂	semidirect
20. C₂×#546	C₂	semidirect
21. C₄×H(5,𝔽₂)	C₂	semidirect
22. #3428	C₂	semidirect
23. C₂×#518	C₂	semidirect
27. #559	C₂²	semidirect
28. #559	C₂²	semidirect
29. #556	C₂²	semidirect
30. #556	C₂²	semidirect
31. #556	C₂²	semidirect
32. #556	C₂²	semidirect
33. #555	C₂²	semidirect
34. #555	C₂²	semidirect
35. #554	C₂²	semidirect
36. #554	C₂²	semidirect
37. #554	C₂²	semidirect
38. #554	C₂²	semidirect
39. #554	C₂²	semidirect
40. #553	C₂²	semidirect
41. #553	C₂²	semidirect
42. #553	C₂²	semidirect
43. #553	C₂²	semidirect
44. #553	C₂²	semidirect
45. #553	C₂²	semidirect
46. #553	C₂²	semidirect
47. #552	C₂²	semidirect
48. #552	C₂²	semidirect
49. #552	C₂²	semidirect
50. #552	C₂²	semidirect
51. #552	C₂²	semidirect
52. #552	C₂²	semidirect
53. #552	C₂²	semidirect
54. #552	C₂²	semidirect
55. #551	C₂²	semidirect
56. #551	C₂²	semidirect
57. #551	C₂²	semidirect
58. #551	C₂²	semidirect
59. #551	C₂²	semidirect
60. #551	C₂²	semidirect
61. #551	C₂²	semidirect
62. #551	C₂²	semidirect
63. #551	C₂²	semidirect
64. #551	C₂²	semidirect
65. #551	C₂²	semidirect
66. #551	C₂²	semidirect
67. #551	C₂²	semidirect
68. #551	C₂²	semidirect
69. D₄×Q₈	C₂²	semidirect
70. #548	C₂²	semidirect
71. #547	C₂²	semidirect
72. #547	C₂²	semidirect
73. #547	C₂²	semidirect
74. #547	C₂²	semidirect
75. #546	C₂²	semidirect
76. #546	C₂²	semidirect
77. #546	C₂²	semidirect
78. #546	C₂²	semidirect
79. #546	C₂²	semidirect
80. #546	C₂²	semidirect
81. #546	C₂²	semidirect
82. #546	C₂²	semidirect
83. #546	C₂²	semidirect
84. #546	C₂²	semidirect
85. #546	C₂²	semidirect
86. #546	C₂²	semidirect
87. D₄²	C₂²	semidirect
88. D₄²	C₂²	semidirect
89. #544	C₂²	semidirect
90. #543	C₂²	semidirect
91. #542	C₂²	semidirect
92. #542	C₂²	semidirect
93. #542	C₂²	semidirect
94. #542	C₂²	semidirect
95. #541	C₂²	semidirect
96. #540	C₂²	semidirect
97. #539	C₂²	semidirect
98. #539	C₂²	semidirect
99. #539	C₂²	semidirect
100. #538	C₂²	semidirect
101. #538	C₂²	semidirect
102. #538	C₂²	semidirect
103. #536	C₂²	semidirect
106. #534	C₂²	semidirect
107. #533	C₂²	semidirect
108. #533	C₂²	semidirect
109. #532	C₂²	semidirect
110. #529	C₂²	semidirect
111. #529	C₂²	semidirect
112. #529	C₂²	semidirect
113. #529	C₂²	semidirect
114. #529	C₂²	semidirect
115. #529	C₂²	semidirect
116. #529	C₂²	semidirect
117. #529	C₂²	semidirect
118. #529	C₂²	semidirect
119. #529	C₂²	semidirect
120. C₂×#126	C₂²	semidirect
121. C₂×#126	C₂²	semidirect
122. C₂×#124	C₂²	semidirect
123. C₂×#124	C₂²	semidirect
125. #525	C₂²	semidirect
126. #525	C₂²	semidirect
127. #525	C₂²	semidirect
128. #525	C₂²	semidirect
129. C₂×#123	C₂²	semidirect
130. C₂×#123	C₂²	semidirect
131. C₂×#123	C₂²	semidirect
132. C₂×#123	C₂²	semidirect
133. C₂×C₂²⋊Q₈	C₂²	semidirect
134. C₂×C₂²⋊Q₈	C₂²	semidirect
135. C₂×C₂²⋊Q₈	C₂²	semidirect
136. C₂×#121	C₂²	semidirect
137. C₂×#121	C₂²	semidirect
139. C₂×#120	C₂²	semidirect
140. #520	C₂²	semidirect
141. #520	C₂²	semidirect
142. #520	C₂²	semidirect
143. #520	C₂²	semidirect
144. #519	C₂²	semidirect
148. #518	C₂²	semidirect
149. #518	C₂²	semidirect
150. #518	C₂²	semidirect
151. #518	C₂²	semidirect
152. #518	C₂²	semidirect
153. #518	C₂²	semidirect
154. #518	C₂²	semidirect
155. C₄×#41	C₂²	semidirect
156. C₄×#41	C₂²	semidirect
157. C₄×#41	C₂²	semidirect
158. C₄×#41	C₂²	semidirect
159. C₄×#41	C₂²	semidirect
161. C₂×C₄×D₄	C₂²	semidirect
162. C₂×C₄×D₄	C₂²	semidirect
163. C₂×C₄×D₄	C₂²	semidirect
164. C₂×C₄×D₄	C₂²	semidirect
165. C₂×C₄×D₄	C₂²	semidirect
166. C₂×C₄×D₄	C₂²	semidirect
167. C₂×#117	C₂²	semidirect
168. C₂×#117	C₂²	semidirect
169. C₂×#117	C₂²	semidirect
170. C₂×#117	C₂²	semidirect
171. C₂²×C₂²⋊C₄	C₂²	semidirect
172. C₂²×C₂²⋊C₄	C₂²	semidirect
181. C₂×#41	C₂³	semidirect
183. C₂²×Q₈	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
214. #126	C₂³	semidirect
215. #126	C₂³	semidirect
216. #126	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. #126	C₂³	semidirect
224. #126	C₂³	semidirect
225. #126	C₂³	semidirect
226. #125	C₂³	semidirect
227. #125	C₂³	semidirect
228. #125	C₂³	semidirect
229. #125	C₂³	semidirect
230. #125	C₂³	semidirect
231. #125	C₂³	semidirect
232. #125	C₂³	semidirect
233. #125	C₂³	semidirect
234. #125	C₂³	semidirect
235. #125	C₂³	semidirect
242. #124	C₂³	semidirect
243. #124	C₂³	semidirect
244. #124	C₂³	semidirect
245. #124	C₂³	semidirect
246. #124	C₂³	semidirect
247. #124	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. #123	C₂³	semidirect
269. #123	C₂³	semidirect
270. #123	C₂³	semidirect
271. #123	C₂³	semidirect
272. #123	C₂³	semidirect
282. C₂²⋊Q₈	C₂³	semidirect
283. C₂²⋊Q₈	C₂³	semidirect
284. C₂²⋊Q₈	C₂³	semidirect
285. C₂²⋊Q₈	C₂³	semidirect
286. C₂²⋊Q₈	C₂³	semidirect
287. C₂²⋊Q₈	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
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
326. #120	C₂³	semidirect
327. C₄×Q₈	C₂³	semidirect
328. C₄×Q₈	C₂³	semidirect
329. C₄×Q₈	C₂³	semidirect
330. C₄×Q₈	C₂³	semidirect
331. C₄×Q₈	C₂³	semidirect
332. C₄×Q₈	C₂³	semidirect
333. C₄×Q₈	C₂³	semidirect
334. C₄×Q₈	C₂³	semidirect
335. C₄×Q₈	C₂³	semidirect
336. C₄×Q₈	C₂³	semidirect
337. 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
395. #117	C₂³	semidirect
396. #117	C₂³	semidirect
397. #117	C₂³	semidirect
398. #117	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
405. #117	C₂³	semidirect
406. #117	C₂³	semidirect
407. #117	C₂³	semidirect
408. #117	C₂³	semidirect
414. C₂×C₄⋊C₄	C₂³	semidirect
415. C₂×C₄⋊C₄	C₂³	semidirect
416. C₂×C₄⋊C₄	C₂³	semidirect
417. C₂×C₄⋊C₄	C₂³	semidirect
418. C₂×C₄⋊C₄	C₂³	semidirect
419. C₂×C₄⋊C₄	C₂³	semidirect
420. C₂×C₄⋊C₄	C₂³	semidirect
421. C₂×C₄⋊C₄	C₂³	semidirect
422. C₂×C₄⋊C₄	C₂³	semidirect
423. C₂×C₄⋊C₄	C₂³	semidirect
424. C₂×C₄⋊C₄	C₂³	semidirect
448. C₂×C₂²⋊C₄	C₂³	semidirect
449. C₂×C₂²⋊C₄	C₂³	semidirect
450. C₂×C₂²⋊C₄	C₂³	semidirect
451. C₂×C₂²⋊C₄	C₂³	semidirect
454. C₂×C₄²	C₂³	semidirect
455. C₂×C₄²	C₂³	semidirect
456. C₂×C₄²	C₂³	semidirect
457. C₂×C₄²	C₂³	semidirect
458. C₂×C₄²	C₂³	semidirect
493. C₂×D₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#3521	2
#3520	2
#3514	2
#3513	2
#3510	2
#3505	2
#3501	2
#3495	2
#3494	2
#3491	2
#3490	2
#3485	2
#3484	2
#3481	2
#3475	2
C₂×#551	2
C₂×#546	2
C₄×H(5,𝔽₂)	2
#3428	2
C₂×#518	2