Subgroups — #7622796

Order 512.

1200 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60331	C₂	1	1	yes	maximal, characteristic
2	#33509	C₂	1	2	yes	maximal, complemented
3	#33508	C₂	1	1	yes	maximal, characteristic, complemented
4	#33507	C₂	1	1	yes	maximal, characteristic, complemented
5	#33506	C₂	1	2	yes	maximal, complemented
6	#33504	C₂	1	1	yes	maximal, characteristic, complemented
7	#33503	C₂	1	2	yes	maximal, complemented
8	#33503	C₂	1	1	yes	maximal, characteristic, complemented
9	#33501	C₂	1	2	yes	maximal, complemented
10	#33499	C₂	1	1	yes	maximal, characteristic, complemented
11	#33498	C₂	1	1	yes	maximal, characteristic, complemented
12	#33497	C₂	1	1	yes	maximal, characteristic, complemented
13	#33484	C₂	1	2	yes	maximal, complemented
14	#33484	C₂	1	1	yes	maximal, characteristic, complemented
15	#33483	C₂	1	1	yes	maximal, characteristic, complemented
16	#33482	C₂	1	2	yes	maximal, complemented
17	#33481	C₂	1	2	yes	maximal, complemented
18	#33480	C₂	1	1	yes	maximal, characteristic, complemented
19	#33479	C₂	1	1	yes	maximal, characteristic, complemented
20	Q₈×M₃₂	C₂	1	1	yes	maximal, characteristic, complemented
21	#33476	C₂	1	1	yes	maximal, characteristic, complemented
22	#33475	C₂	1	2	yes	maximal, complemented
23	C₂×#2183	C₂	1	1	yes	maximal, characteristic, complemented
24	#3482	C₄	1	1	yes	characteristic
25	#2994	C₄	1	1	yes	characteristic
26	#2994	C₄	1	2	yes	—
27	#2994	C₄	1	2	yes	—
28	#2994	C₄	1	1	yes	characteristic
29	#2991	C₄	1	1	yes	characteristic
30	#2990	C₄	1	1	yes	characteristic
31	#2990	C₄	1	2	yes	—
32	#2986	C₄	1	2	yes	—
33	#2986	C₄	1	1	yes	characteristic
34	#2984	C₄	1	1	yes	characteristic
35	#2984	C₄	1	1	yes	characteristic
36	#2966	C₂²	1	1	yes	characteristic
37	#2966	C₂²	1	2	yes	—
38	#2966	C₂²	1	2	yes	—
39	#2966	C₂²	1	1	yes	characteristic
40	C₈×#41	C₂²	1	1	yes	characteristic
41	C₈×#41	C₂²	1	2	yes	—
42	C₈×#41	C₂²	1	1	yes	characteristic
43	#2960	C₂²	1	2	yes	—
44	#2960	C₂²	1	1	yes	characteristic
45	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
47	#2183	C₂²	1	2	yes	—
48	#2183	C₂²	1	1	yes	characteristic
49	#2183	C₂²	1	1	yes	characteristic
50	#2183	C₂²	1	1	yes	characteristic
51	#2183	C₂²	1	1	yes	characteristic
52	#2183	C₂²	1	2	yes	—
53	#2183	C₂²	1	1	yes	characteristic
54	#2183	C₂²	1	2	yes	—
55	#2183	C₂²	1	2	yes	—
56	#2183	C₂²	1	2	yes	—
57	#2183	C₂²	1	2	yes	—
58	#2183	C₂²	1	2	yes	—
59	#2183	C₂²	1	2	yes	—
60	#2183	C₂²	1	1	yes	characteristic
61	#2183	C₂²	1	2	yes	—
62	#2183	C₂²	1	1	yes	characteristic
63	#2183	C₂²	1	2	yes	—
64	#2183	C₂²	1	1	yes	characteristic
65	#2183	C₂²	1	1	yes	characteristic
66	#2183	C₂²	1	2	yes	—
67	#2183	C₂²	1	2	yes	—
68	#2183	C₂²	1	1	yes	characteristic
69	#2183	C₂²	1	2	yes	—
70	Q₈×C₁₆	C₂²	1	1	yes	characteristic
71	Q₈×C₁₆	C₂²	1	1	yes	characteristic
72	Q₈×C₁₆	C₂²	1	1	yes	characteristic
73	Q₈×C₁₆	C₂²	1	1	yes	characteristic
74	#2169	C₂²	1	1	yes	characteristic
75	#2169	C₂²	1	1	yes	characteristic
76	#2169	C₂²	1	1	yes	characteristic
77	#2169	C₂²	1	2	yes	—
78	#2169	C₂²	1	1	yes	characteristic
79	#2169	C₂²	1	2	yes	—
80	#2168	C₂²	1	1	yes	characteristic
81	#2168	C₂²	1	1	yes	characteristic
82	#2168	C₂²	1	1	yes	characteristic
83	#2168	C₂²	1	1	yes	characteristic
84	#2168	C₂²	1	2	yes	—
85	#2168	C₂²	1	2	yes	—
86	#2168	C₂²	1	2	yes	—
87	#2168	C₂²	1	2	yes	—
88	#2168	C₂²	1	2	yes	—
89	#2168	C₂²	1	2	yes	—
90	#2168	C₂²	1	2	yes	—
91	#2168	C₂²	1	2	yes	—
92	#2168	C₂²	1	2	yes	—
93	#2168	C₂²	1	2	yes	—
94	D₄×C₁₆	C₂²	1	2	yes	—
95	D₄×C₁₆	C₂²	1	1	yes	characteristic
96	D₄×C₁₆	C₂²	1	2	yes	—
97	D₄×C₁₆	C₂²	1	2	yes	—
98	D₄×C₁₆	C₂²	1	1	yes	characteristic
99	#2164	C₂²	1	2	yes	—
100	#2164	C₂²	1	2	yes	—
101	#2164	C₂²	1	2	yes	—
102	#2164	C₂²	1	2	yes	—
103	#2164	C₂²	1	2	yes	—
104	#2164	C₂²	1	2	yes	—
105	#2163	C₂²	1	1	yes	characteristic
106	#2163	C₂²	1	2	yes	—
107	#2163	C₂²	1	2	yes	—
108	#2163	C₂²	1	2	yes	—
109	#2163	C₂²	1	1	yes	characteristic
110	#2163	C₂²	1	2	yes	—
111	#2163	C₂²	1	2	yes	—
112	#2162	C₂²	1	1	yes	characteristic
113	#2162	C₂²	1	1	yes	characteristic
114	#2162	C₂²	1	1	yes	characteristic
115	#2162	C₂²	1	2	yes	—
116	#2162	C₂²	1	1	yes	characteristic
117	#2151	C₂²	1	2	yes	—
118	#2151	C₂²	1	2	yes	—
119	#2151	C₂²	1	2	yes	—
120	#2150	C₂²	1	2	yes	—
121	#2150	C₂²	1	2	yes	—
122	#2150	C₂²	1	1	yes	characteristic
123	C₂×C₄⋊C₁₆	C₂²	1	2	yes	—
124	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
125	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
126	#2108	C₂²	1	2	yes	—
127	#2108	C₂²	1	2	yes	—
128	#2108	C₂²	1	2	yes	—
129	C₄×M₃₂	C₂²	1	1	yes	characteristic
130	C₄×M₃₂	C₂²	1	1	yes	characteristic
131	C₄×M₃₂	C₂²	1	2	yes	—
132	C₂×#346	C₂²	1	2	yes	—
133	C₂×#346	C₂²	1	2	yes	—
134	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
135	#557	C₈	1	1	yes	characteristic
136	#556	C₈	1	1	yes	characteristic
137	#556	C₈	1	2	yes	—
138	#552	C₈	1	1	yes	characteristic
139	#552	C₈	1	2	yes	—
140	#552	C₈	1	1	yes	characteristic
141	#552	C₈	1	2	yes	—
142	D₄×Q₈	C₈	1	1	yes	characteristic
143	#548	C₈	1	1	yes	characteristic
144	#548	C₈	1	1	yes	characteristic
145	#547	C₈	1	1	yes	characteristic
146	#547	C₈	1	2	yes	—
147	#533	C₂×C₄	1	2	yes	—
148	#533	C₂×C₄	1	1	yes	characteristic
149	#529	C₂×C₄	1	1	yes	characteristic
150	#529	C₂×C₄	1	2	yes	—
151	#529	C₂×C₄	1	2	yes	—
152	#529	C₂×C₄	1	1	yes	characteristic
153	C₄×#41	C₂×C₄	1	1	yes	characteristic
154	C₄×#41	C₂×C₄	1	2	yes	—
155	C₄×#41	C₂×C₄	1	1	yes	characteristic
156	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
157	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
158	C₂×M₃₂	C₂³	1	1	yes	characteristic
159	C₂×M₃₂	C₂³	1	1	yes	characteristic
160	C₂×M₃₂	C₂³	1	2	yes	—
161	C₂×M₃₂	C₂³	1	1	yes	characteristic
162	C₂×M₃₂	C₂³	1	1	yes	characteristic
163	C₂×M₃₂	C₂³	1	2	yes	—
164	C₂×M₃₂	C₂³	1	2	yes	—
165	C₂²×C₁₆	C₂³	1	1	yes	characteristic
166	C₂²×C₁₆	C₂³	1	2	yes	—
167	C₂²×C₁₆	C₂³	1	1	yes	characteristic
168	C₂²×C₁₆	C₂³	1	2	yes	—
169	C₂²×C₁₆	C₂³	1	2	yes	—
170	C₂²×C₁₆	C₂³	1	2	yes	—
171	#446	C₂×C₄	1	2	yes	—
172	#446	C₂×C₄	1	2	yes	—
173	#446	C₂×C₄	1	1	yes	characteristic
174	#446	C₂×C₄	1	1	yes	characteristic
175	#446	C₂×C₄	1	2	yes	—
176	#446	C₂×C₄	1	2	yes	—
177	#446	C₂×C₄	1	2	yes	—
178	#446	C₂×C₄	1	1	yes	characteristic
179	#446	C₂×C₄	1	2	yes	—
180	#446	C₂×C₄	1	2	yes	—
181	#446	C₂×C₄	1	1	yes	characteristic
182	C₈×Q₈	C₂×C₄	1	1	yes	characteristic
183	C₈×Q₈	C₂×C₄	1	1	yes	characteristic
184	C₈×Q₈	C₂×C₄	1	1	yes	characteristic
185	C₈×Q₈	C₂×C₄	1	2	yes	—
186	C₈×Q₈	C₂×C₄	1	1	yes	characteristic
187	C₈×Q₈	C₂×C₄	1	2	yes	—
188	C₈×Q₈	C₂×C₄	1	1	yes	characteristic
189	C₈×Q₈	C₂×C₄	1	1	yes	characteristic
190	C₈×Q₈	C₂×C₄	1	2	yes	—
191	C₈×Q₈	C₂³	1	1	yes	characteristic
192	C₈×Q₈	C₂³	1	1	yes	characteristic
193	C₈×Q₈	C₂³	1	1	yes	characteristic
194	C₈×Q₈	C₂³	1	2	yes	—
195	C₈×Q₈	C₂³	1	2	yes	—
196	C₈×Q₈	C₂³	1	1	yes	characteristic
197	C₈×Q₈	C₂³	1	2	yes	—
198	#436	C₂×C₄	1	1	yes	characteristic
199	#436	C₂×C₄	1	2	yes	—
200	#436	C₂×C₄	1	2	yes	—
201	#436	C₂×C₄	1	1	yes	characteristic
202	#435	C₂×C₄	1	2	yes	—
203	#435	C₂×C₄	1	2	yes	—
204	#435	C₂×C₄	1	2	yes	—
205	#435	C₂×C₄	1	2	yes	—
206	#435	C₂×C₄	1	2	yes	—
207	#435	C₂×C₄	1	2	yes	—
208	C₈×D₄	C₂×C₄	1	1	yes	characteristic
209	C₈×D₄	C₂×C₄	1	2	yes	—
210	C₈×D₄	C₂×C₄	1	2	yes	—
211	C₈×D₄	C₂×C₄	1	1	yes	characteristic
212	C₈×D₄	C₂×C₄	1	1	yes	characteristic
213	C₈×D₄	C₂×C₄	1	1	yes	characteristic
214	C₈×D₄	C₂×C₄	1	2	yes	—
215	C₈×D₄	C₂×C₄	1	2	yes	—
216	C₈×D₄	C₂³	1	2	yes	—
217	C₈×D₄	C₂³	1	1	yes	characteristic
218	C₈×D₄	C₂³	1	1	yes	characteristic
219	C₈×D₄	C₂³	1	1	yes	characteristic
220	C₈×D₄	C₂³	1	2	yes	—
221	C₈×D₄	C₂³	1	2	yes	—
222	C₈×D₄	C₂³	1	1	yes	characteristic
223	#433	C₂×C₄	1	2	yes	—
224	#433	C₂×C₄	1	2	yes	—
225	#433	C₂×C₄	1	2	yes	—
226	#433	C₂×C₄	1	2	yes	—
227	#433	C₂×C₄	1	2	yes	—
228	#433	C₂×C₄	1	2	yes	—
229	#432	C₂×C₄	1	1	yes	characteristic
230	#432	C₂×C₄	1	2	yes	—
231	#432	C₂×C₄	1	2	yes	—
232	#432	C₂×C₄	1	1	yes	characteristic
233	#431	C₂×C₄	1	1	yes	characteristic
234	#431	C₂×C₄	1	1	yes	characteristic
235	#431	C₂×C₄	1	2	yes	—
236	#431	C₂×C₄	1	2	yes	—
237	#431	C₂×C₄	1	1	yes	characteristic
238	#431	C₂×C₄	1	2	yes	—
239	#431	C₂×C₄	1	1	yes	characteristic
240	#431	C₂×C₄	1	2	yes	—
241	#424	C₂×C₄	1	2	yes	—
242	#424	C₂×C₄	1	2	yes	—
243	#424	C₂×C₄	1	2	yes	—
244	#423	C₂×C₄	1	2	yes	—
245	#423	C₂×C₄	1	1	yes	characteristic
246	C₂×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
247	C₂×C₄⋊C₈	C₂×C₄	1	2	yes	—
248	C₂×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
249	C₂×C₄⋊C₈	C₂×C₄	1	2	yes	—
250	#405	C₂³	1	2	yes	—
251	#405	C₂³	1	2	yes	—
252	#405	C₂³	1	2	yes	—
253	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
254	C₂×C₄×C₈	C₂³	1	2	yes	—
255	C₂×C₄×C₈	C₂³	1	2	yes	—
256	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
257	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
258	C₂×C₄×C₈	C₂³	1	2	yes	—
259	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
260	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
261	C₄⋊C₁₆	C₂³	1	2	yes	—
262	C₄⋊C₁₆	C₂³	1	2	yes	—
263	C₄⋊C₁₆	C₂³	1	2	yes	—
264	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
265	C₄⋊C₁₆	C₂³	1	2	yes	—
266	C₄⋊C₁₆	C₂³	1	2	yes	—
267	C₄⋊C₁₆	C₂³	1	2	yes	—
268	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
269	C₄⋊C₁₆	C₂³	1	2	yes	—
270	C₄⋊C₁₆	C₂³	1	2	yes	—
271	C₄⋊C₁₆	C₂³	1	2	yes	—
272	C₄⋊C₁₆	C₂³	1	2	yes	—
273	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
274	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
275	C₄⋊C₁₆	C₂³	1	2	yes	—
276	C₄⋊C₁₆	C₂³	1	2	yes	—
277	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
278	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
279	C₄⋊C₁₆	C₂³	1	2	yes	—
280	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
281	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
282	C₄⋊C₁₆	C₂³	1	2	yes	—
283	C₄⋊C₁₆	C₂³	1	2	yes	—
284	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
285	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
286	C₂²⋊C₁₆	C₂³	1	2	yes	—
287	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
288	C₂²⋊C₁₆	C₂³	1	2	yes	—
289	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
290	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
291	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
292	C₂²⋊C₁₆	C₂³	1	2	yes	—
293	C₂²⋊C₁₆	C₂³	1	2	yes	—
294	C₂²⋊C₁₆	C₂³	1	2	yes	—
295	C₂²⋊C₁₆	C₂³	1	2	yes	—
296	C₂²⋊C₁₆	C₂³	1	2	yes	—
297	#346	C₂³	1	2	yes	—
298	#346	C₂³	1	1	yes	characteristic
299	#346	C₂³	1	2	yes	—
300	#346	C₂³	1	2	yes	—
301	#346	C₂³	1	2	yes	—
302	#346	C₂³	1	2	yes	—
303	#346	C₂³	1	2	yes	—
304	#346	C₂³	1	1	yes	characteristic
305	#346	C₂³	1	1	yes	characteristic
306	#346	C₂³	1	2	yes	—
307	#346	C₂³	1	1	yes	characteristic
308	#346	C₂³	1	2	yes	—
309	#346	C₂³	1	2	yes	—
310	#346	C₂³	1	2	yes	—
311	C₄×C₁₆	C₂³	1	1	yes	characteristic
312	C₄×C₁₆	C₂³	1	1	yes	characteristic
313	C₄×C₁₆	C₂³	1	1	yes	characteristic
314	C₄×C₁₆	C₂³	1	1	yes	characteristic
315	C₄×C₁₆	C₂³	1	2	yes	—
316	C₄×C₁₆	C₂³	1	1	yes	characteristic
317	C₄×C₁₆	C₂³	1	1	yes	characteristic
318	C₄×C₁₆	C₂³	1	2	yes	—
319	C₄×C₁₆	C₂³	1	2	yes	—
320	C₄×C₁₆	C₂³	1	2	yes	—
321	C₄×C₁₆	C₂³	1	2	yes	—
322	C₂×#41	C₂×C₈	1	1	yes	characteristic
323	C₂×#41	C₂×C₈	1	2	yes	—
324	C₂×#41	C₂×C₈	1	1	yes	characteristic
325	C₂²×Q₈	C₂×C₈	1	1	yes	characteristic
326	C₂²×Q₈	C₂×C₈	1	1	yes	characteristic
327	C₂×M₁₆	C₂²×C₄	1	2	yes	—
328	C₂×M₁₆	C₂²×C₄	1	2	yes	—
329	C₂×M₁₆	C₂²×C₄	1	2	yes	—
330	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
331	C₂²×C₈	C₂²×C₄	1	2	yes	—
332	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
333	C₂²×C₈	C₂²×C₄	1	2	yes	—
334	C₂²×C₈	C₂²×C₄	1	2	yes	—
335	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
336	C₂²×C₈	C₂⁴	1	1	yes	characteristic
337	C₂²×C₈	C₂⁴	1	1	yes	characteristic
338	C₂²×C₈	C₂⁴	1	2	yes	—
339	C₂²×C₈	C₂⁴	1	1	yes	characteristic
340	C₄⋊Q₈	C₂×C₈	1	2	yes	—
341	C₄⋊Q₈	C₂×C₈	1	1	yes	characteristic
342	C₄⋊Q₈	C₂×C₈	1	1	yes	characteristic
343	C₄⋊Q₈	C₂×C₈	1	2	yes	—
344	#126	C₂×C₈	1	2	yes	—
345	#126	C₂×C₈	1	2	yes	—
346	#126	C₂×C₈	1	2	yes	—
347	#126	C₂×C₈	1	2	yes	—
348	#126	C₂×C₈	1	2	yes	—
349	#126	C₂×C₈	1	2	yes	—
350	#125	C₂×C₈	1	2	yes	—
351	#125	C₂×C₈	1	2	yes	—
352	#125	C₂×C₈	1	1	yes	characteristic
353	#125	C₂×C₈	1	1	yes	characteristic
354	#125	C₂×C₈	1	2	yes	—
355	#125	C₂×C₈	1	2	yes	—
356	#125	C₂×C₈	1	2	yes	—
357	#124	C₂×C₈	1	1	yes	characteristic
358	#124	C₂×C₈	1	1	yes	characteristic
359	#124	C₂×C₈	1	2	yes	—
360	#124	C₂×C₈	1	2	yes	—
361	#123	C₂×C₈	1	2	yes	—
362	#123	C₂×C₈	1	2	yes	—
363	#123	C₂×C₈	1	2	yes	—
364	#123	C₂×C₈	1	2	yes	—
365	#123	C₂×C₈	1	2	yes	—
366	#123	C₂×C₈	1	2	yes	—
367	C₂²⋊Q₈	C₂×C₈	1	1	yes	characteristic
368	C₂²⋊Q₈	C₂×C₈	1	1	yes	characteristic
369	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
370	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
371	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
372	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
373	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
374	C₂²⋊Q₈	C₂×C₈	1	1	yes	characteristic
375	C₂²⋊Q₈	C₂×C₈	1	1	yes	characteristic
376	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
377	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
378	#121	C₂×C₈	1	1	yes	characteristic
379	#121	C₂×C₈	1	1	yes	characteristic
380	#121	C₂×C₈	1	2	yes	—
381	#121	C₂×C₈	1	2	yes	—
382	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
383	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
384	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
385	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
386	C₄×Q₈	C₂×C₈	1	2	yes	—
387	C₄×Q₈	C₂×C₈	1	2	yes	—
388	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
389	C₄×Q₈	C₂×C₈	1	2	yes	—
390	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
391	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
392	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
393	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
394	C₄×Q₈	C₂²×C₄	1	2	yes	—
395	C₄×Q₈	C₂²×C₄	1	2	yes	—
396	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
397	C₄×Q₈	C₂²×C₄	1	2	yes	—
398	C₄×D₄	C₂×C₈	1	1	yes	characteristic
399	C₄×D₄	C₂×C₈	1	2	yes	—
400	C₄×D₄	C₂×C₈	1	1	yes	characteristic
401	C₄×D₄	C₂×C₈	1	2	yes	—
402	C₄×D₄	C₂×C₈	1	1	yes	characteristic
403	C₄×D₄	C₂×C₈	1	1	yes	characteristic
404	C₄×D₄	C₂×C₈	1	2	yes	—
405	C₄×D₄	C₂×C₈	1	2	yes	—
406	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
407	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
408	C₄×D₄	C₂²×C₄	1	2	yes	—
409	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
410	C₄×D₄	C₂²×C₄	1	2	yes	—
411	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
412	C₄×D₄	C₂²×C₄	1	2	yes	—
413	#117	C₂×C₈	1	1	yes	characteristic
414	#117	C₂×C₈	1	2	yes	—
415	#117	C₂×C₈	1	1	yes	characteristic
416	#117	C₂×C₈	1	2	yes	—
417	#117	C₂×C₈	1	1	yes	characteristic
418	#117	C₂×C₈	1	2	yes	—
419	#117	C₂×C₈	1	1	yes	characteristic
420	#117	C₂×C₈	1	2	yes	—
421	#117	C₂²×C₄	1	2	yes	—
422	#117	C₂²×C₄	1	2	yes	—
423	#117	C₂²×C₄	1	2	yes	—
424	C₂×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
425	C₂×C₄⋊C₄	C₂×C₈	1	2	yes	—
426	C₂×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
427	C₂×C₄⋊C₄	C₂×C₈	1	2	yes	—
428	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
429	C₂×C₄²	C₂²×C₄	1	2	yes	—
430	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
431	C₂×C₄²	C₂²×C₄	1	2	yes	—
432	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
433	C₂×C₄²	C₂²×C₄	1	2	yes	—
434	M₃₂	—	2	2	no	—
435	M₃₂	—	2	2	no	—
436	M₃₂	—	4	1	no	—
437	M₃₂	—	4	2	no	—
438	M₃₂	—	4	2	no	—
439	M₃₂	—	4	2	no	—
440	M₃₂	—	4	1	no	—
441	C₂×C₁₆	—	2	2	no	—
442	C₂×C₁₆	—	2	4	no	—
443	C₂×C₁₆	—	4	2	no	—
444	C₂×C₁₆	—	4	2	no	—
445	C₂×C₁₆	—	4	2	no	—
446	C₂×C₁₆	—	4	1	no	—
447	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
448	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
449	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
450	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
451	C₂×C₁₆	C₂⁴	1	2	yes	—
452	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
453	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
454	C₂×C₁₆	C₂⁴	1	2	yes	—
455	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
456	C₂×C₁₆	C₂⁴	1	2	yes	—
457	C₂×C₁₆	C₂⁴	1	2	yes	—
458	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
459	C₄⋊C₈	C₂²×C₄	1	2	yes	—
460	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
461	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
462	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
463	C₄⋊C₈	C₂²×C₄	1	2	yes	—
464	C₄⋊C₈	C₂²×C₄	1	2	yes	—
465	C₄⋊C₈	C₂²×C₄	1	2	yes	—
466	C₄⋊C₈	C₂²×C₄	1	2	yes	—
467	C₄⋊C₈	C₂²×C₄	1	2	yes	—
468	C₄⋊C₈	C₂²×C₄	1	2	yes	—
469	C₄⋊C₈	C₂²×C₄	1	2	yes	—
470	C₄⋊C₈	C₂²×C₄	1	2	yes	—
471	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
472	C₄⋊C₈	C₂²×C₄	1	2	yes	—
473	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
474	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
475	C₄⋊C₈	C₂²×C₄	1	2	yes	—
476	C₄⋊C₈	C₂²×C₄	1	2	yes	—
477	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
478	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
479	C₄⋊C₈	C₂²×C₄	1	2	yes	—
480	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
481	C₄⋊C₈	C₂²×C₄	1	2	yes	—
482	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
483	C₄⋊C₈	C₂²×C₄	1	2	yes	—
484	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
485	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
486	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
487	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
488	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
489	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
490	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
491	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
492	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
493	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
494	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
495	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
496	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
497	#97	C₂²×C₄	1	2	yes	—
498	#97	C₂²×C₄	1	2	yes	—
499	#97	C₂²×C₄	1	2	yes	—
500	#97	C₂²×C₄	1	2	yes	—
501	#97	C₂²×C₄	1	2	yes	—
502	#97	C₂²×C₄	1	2	yes	—
503	C₄×C₈	C₂²×C₄	1	2	yes	—
504	C₄×C₈	C₂²×C₄	1	2	yes	—
505	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
506	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
507	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
508	C₄×C₈	C₂²×C₄	1	2	yes	—
509	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
510	C₄×C₈	C₂²×C₄	1	2	yes	—
511	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
512	C₄×C₈	C₂²×C₄	1	2	yes	—
513	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
514	C₄×C₈	C₂²×C₄	1	2	yes	—
515	C₄×C₈	C₂⁴	1	1	yes	characteristic
516	C₄×C₈	C₂⁴	1	1	yes	characteristic
517	C₄×C₈	C₂⁴	1	2	yes	—
518	C₄×C₈	C₂⁴	1	1	yes	characteristic
519	C₄×C₈	C₂⁴	1	2	yes	—
520	C₄×C₈	C₂⁴	1	2	yes	—
521	C₄×C₈	C₂⁴	1	1	yes	characteristic
522	#41	—	4	2	no	—
523	#41	—	4	4	no	—
524	#41	—	4	2	no	—
525	C₂×Q₈	—	4	2	no	—
526	C₂×Q₈	—	4	2	no	—
527	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
528	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
529	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
530	C₂×Q₈	C₂²×C₈	1	2	yes	—
531	C₂×Q₈	C₂²×C₈	1	2	yes	—
532	C₂×Q₈	C₂²×C₈	1	2	yes	—
533	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
534	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
535	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
536	C₂×D₄	C₂²×C₈	1	2	yes	—
537	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
538	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
539	C₂×D₄	C₂²×C₈	1	2	yes	—
540	C₂×D₄	C₂²×C₈	1	2	yes	—
541	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
542	C₂²×C₄	C₂²×C₈	1	2	yes	—
543	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
544	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
545	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
546	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
547	C₂²×C₄	C₂²×C₈	1	2	yes	—
548	C₂²×C₄	C₂²×C₈	1	2	yes	—
549	C₂²×C₄	C₂²×C₈	1	2	yes	—
550	C₂²×C₄	C₂²×C₈	1	2	yes	—
551	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
552	C₂²×C₄	C₂²×C₈	1	2	yes	—
553	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
554	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
555	C₂²×C₄	C₂³×C₄	1	2	yes	—
556	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
557	M₁₆	—	4	2	no	—
558	M₁₆	—	4	2	no	—
559	M₁₆	—	4	2	no	—
560	C₂×C₈	—	2	1	no	—
561	C₂×C₈	—	2	2	no	—
562	C₂×C₈	—	2	1	no	—
563	C₂×C₈	—	2	1	no	—
564	C₂×C₈	—	2	1	no	—
565	C₂×C₈	—	2	1	no	—
566	C₂×C₈	—	2	2	no	—
567	C₂×C₈	—	2	1	no	—
568	C₂×C₈	—	4	2	no	—
569	C₂×C₈	—	4	1	no	—
570	C₂×C₈	—	4	1	no	—
571	C₂×C₈	—	4	2	no	—
572	C₂×C₈	—	4	1	no	—
573	C₂×C₈	—	4	2	no	—
574	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
575	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
576	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
577	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
578	C₂×C₈	C₂³×C₄	1	2	yes	—
579	C₂×C₈	C₂³×C₄	1	2	yes	—
580	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
581	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
582	C₂×C₈	C₂³×C₄	1	2	yes	—
583	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
584	C₂×C₈	C₂³×C₄	1	2	yes	—
585	C₂×C₈	C₂⁵	1	1	yes	characteristic
586	C₄⋊C₄	C₂²×C₈	1	2	yes	—
587	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
588	C₄⋊C₄	C₂²×C₈	1	2	yes	—
589	C₄⋊C₄	C₂²×C₈	1	2	yes	—
590	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
591	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
592	C₄⋊C₄	C₂²×C₈	1	2	yes	—
593	C₄⋊C₄	C₂²×C₈	1	2	yes	—
594	C₄⋊C₄	C₂²×C₈	1	2	yes	—
595	C₄⋊C₄	C₂²×C₈	1	2	yes	—
596	C₄⋊C₄	C₂²×C₈	1	2	yes	—
597	C₄⋊C₄	C₂²×C₈	1	2	yes	—
598	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
599	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
600	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
601	C₄⋊C₄	C₂²×C₈	1	2	yes	—
602	C₄⋊C₄	C₂²×C₈	1	2	yes	—
603	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
604	C₄⋊C₄	C₂²×C₈	1	2	yes	—
605	C₄⋊C₄	C₂²×C₈	1	2	yes	—
606	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
607	C₄⋊C₄	C₂²×C₈	1	2	yes	—
608	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
609	C₄⋊C₄	C₂²×C₈	1	2	yes	—
610	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
611	C₄⋊C₄	C₂²×C₈	1	2	yes	—
612	C₄⋊C₄	C₂²×C₈	1	2	yes	—
613	C₄⋊C₄	C₂²×C₈	1	2	yes	—
614	C₄⋊C₄	C₂²×C₈	1	2	yes	—
615	C₄⋊C₄	C₂²×C₈	1	2	yes	—
616	C₄⋊C₄	C₂²×C₈	1	2	yes	—
617	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
618	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
619	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
620	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
621	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
622	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
623	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
624	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
625	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
626	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
627	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
628	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
629	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
630	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
631	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
632	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
633	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
634	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
635	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
636	C₄²	C₂²×C₈	1	1	yes	characteristic
637	C₄²	C₂²×C₈	1	2	yes	—
638	C₄²	C₂²×C₈	1	1	yes	characteristic
639	C₄²	C₂²×C₈	1	1	yes	characteristic
640	C₄²	C₂²×C₈	1	2	yes	—
641	C₄²	C₂²×C₈	1	2	yes	—
642	C₄²	C₂²×C₈	1	2	yes	—
643	C₄²	C₂²×C₈	1	1	yes	characteristic
644	C₄²	C₂²×C₈	1	2	yes	—
645	C₄²	C₂²×C₈	1	2	yes	—
646	C₄²	C₂²×C₈	1	1	yes	characteristic
647	C₄²	C₂²×C₈	1	1	yes	characteristic
648	C₄²	C₂³×C₄	1	1	yes	characteristic
649	C₄²	C₂³×C₄	1	2	yes	—
650	C₄²	C₂³×C₄	1	1	yes	characteristic
651	C₄²	C₂³×C₄	1	1	yes	characteristic
652	C₄²	C₂³×C₄	1	1	yes	characteristic
653	C₄²	C₂³×C₄	1	2	yes	—
654	C₄²	C₂³×C₄	1	2	yes	—
655	C₁₆	—	2	1	no	—
656	C₁₆	—	2	2	no	—
657	C₁₆	—	2	1	no	—
658	C₁₆	—	2	1	no	—
659	C₁₆	—	2	2	no	—
660	C₁₆	—	2	2	no	—
661	C₁₆	—	2	1	no	—
662	C₁₆	—	2	2	no	—
663	C₁₆	—	2	1	no	—
664	C₁₆	—	2	1	no	—
665	C₁₆	—	2	1	no	—
666	C₁₆	2₋¹⁺⁴	1	2	yes	—
667	C₂³	C₂³×C₈	1	1	yes	characteristic
668	C₂³	C₂³×C₈	1	2	yes	—
669	C₂³	C₂³×C₈	1	1	yes	characteristic
670	C₂³	C₂³×C₈	1	1	yes	characteristic
671	Q₈	—	2	2	no	—
672	Q₈	—	2	2	no	—
673	Q₈	—	2	2	no	—
674	Q₈	—	4	2	no	—
675	Q₈	—	4	2	no	—
676	Q₈	—	4	2	no	—
677	Q₈	—	4	1	no	—
678	D₄	—	2	2	no	—
679	D₄	—	2	4	no	—
680	D₄	—	2	2	no	—
681	D₄	—	2	2	no	—
682	D₄	—	4	1	no	—
683	D₄	—	4	2	no	—
684	D₄	—	4	2	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	2	4	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	2	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	4	2	no	—
699	C₂×C₄	—	4	2	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	2	no	—
702	C₂×C₄	—	4	2	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	2	no	—
705	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
706	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
707	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
708	C₂×C₄	C₂³×C₈	1	2	yes	—
709	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
710	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
711	C₂×C₄	C₂³×C₈	1	2	yes	—
712	C₂×C₄	C₂³×C₈	1	2	yes	—
713	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
714	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
715	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
716	C₂×C₄	C₂³×C₈	1	2	yes	—
717	C₂×C₄	C₂³×C₈	1	2	yes	—
718	C₂×C₄	C₂³×C₈	1	2	yes	—
719	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
720	C₂×C₄	C₂³×C₈	1	2	yes	—
721	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
722	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
723	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
724	C₈	—	2	1	no	—
725	C₈	—	2	2	no	—
726	C₈	—	2	1	no	—
727	C₈	—	2	1	no	—
728	C₈	—	2	1	no	—
729	C₈	—	2	1	no	—
730	C₈	—	2	2	no	—
731	C₈	—	2	1	no	—
732	C₈	—	2	2	no	—
733	C₈	—	2	1	no	—
734	C₈	—	2	2	no	—
735	C₈	C₂×2₋¹⁺⁴	1	1	yes	characteristic
736	C₈	#585	1	1	yes	characteristic
737	C₂²	—	2	1	no	—
738	C₂²	—	2	1	no	—
739	C₂²	—	2	1	no	—
740	C₂²	—	2	1	no	—
741	C₂²	—	2	1	no	—
742	C₂²	—	2	1	no	—
743	C₂²	—	2	2	no	—
744	C₂²	—	2	2	no	—
745	C₂²	—	2	1	no	—
746	C₂²	—	2	1	no	—
747	C₂²	—	2	2	no	—
748	C₂²	#3407	1	2	yes	—
749	C₂²	C₂⁴×C₈	1	1	yes	characteristic
750	C₄	—	2	2	no	—
751	C₄	—	2	1	no	—
752	C₄	—	2	1	no	—
753	C₄	—	2	2	no	—
754	C₄	—	2	1	no	—
755	C₄	—	2	1	no	—
756	C₄	—	2	1	no	—
757	C₄	—	2	1	no	—
758	C₄	—	2	2	no	—
759	C₄	—	2	2	no	—
760	C₄	—	2	1	no	—
761	C₄	—	2	2	no	—
762	C₄	—	2	2	no	—
763	C₄	—	2	1	no	—
764	C₄	—	2	1	no	—
765	C₄	—	2	2	no	—
766	C₄	—	2	1	no	—
767	C₄	#3407	1	2	yes	—
768	C₄	C₄×2₋¹⁺⁴	1	1	yes	characteristic
769	C₄	#3573	1	1	yes	characteristic
770	C₂	—	2	2	no	—
771	C₂	—	4	1	no	—
772	C₂	—	4	1	no	—
773	C₂	—	4	2	no	—
774	C₂	C₈×2₋¹⁺⁴	1	1	yes	characteristic
775	C₂	C₂×#3407	1	1	yes	characteristic
776	C₂	C₂×#3407	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂×C₈	C₂⁵
commutator, socle	C₂²	C₂⁴×C₈
prime radical	#3482	C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₈ ◁ G
LECS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #33509	C₂	semidirect
3. #33508	C₂	semidirect
4. #33507	C₂	semidirect
5. #33506	C₂	semidirect
6. #33504	C₂	semidirect
7. #33503	C₂	semidirect
8. #33503	C₂	semidirect
9. #33501	C₂	semidirect
10. #33499	C₂	semidirect
11. #33498	C₂	semidirect
12. #33497	C₂	semidirect
13. #33484	C₂	semidirect
14. #33484	C₂	semidirect
15. #33483	C₂	semidirect
16. #33482	C₂	semidirect
17. #33481	C₂	semidirect
18. #33480	C₂	semidirect
19. #33479	C₂	semidirect
20. Q₈×M₃₂	C₂	semidirect
21. #33476	C₂	semidirect
22. #33475	C₂	semidirect
23. C₂×#2183	C₂	semidirect

Maximal subgroups

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

subgroup	index
#60331	2
#33509	2
#33508	2
#33507	2
#33506	2
#33504	2
#33503	2
#33501	2
#33499	2
#33498	2
#33497	2
#33484	2
#33483	2
#33482	2
#33481	2
#33480	2
#33479	2
Q₈×M₃₂	2
#33476	2
#33475	2
C₂×#2183	2