Subgroups — #7622752

Order 512.

1241 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60218	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	1	yes	maximal, characteristic, complemented
8	#33498	C₂	1	1	yes	maximal, characteristic, complemented
9	#33497	C₂	1	1	yes	maximal, characteristic, complemented
10	#33495	C₂	1	2	yes	maximal, complemented
11	#33495	C₂	1	1	yes	maximal, characteristic, complemented
12	#33494	C₂	1	2	yes	maximal, complemented
13	#33493	C₂	1	1	yes	maximal, characteristic, 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	#33423	C₂	1	1	yes	maximal, characteristic, complemented
21	#33423	C₂	1	2	yes	maximal, complemented
22	#33421	C₂	1	2	yes	maximal, complemented
23	#33420	C₂	1	1	yes	maximal, characteristic, complemented
24	#3480	C₄	1	1	yes	characteristic
25	#2971	C₄	1	1	yes	characteristic
26	#2971	C₄	1	1	yes	characteristic
27	#2969	C₄	1	1	yes	characteristic
28	#2969	C₄	1	2	yes	—
29	#2969	C₄	1	2	yes	—
30	#2969	C₄	1	1	yes	characteristic
31	#2966	C₂²	1	1	yes	characteristic
32	#2966	C₂²	1	2	yes	—
33	#2966	C₂²	1	2	yes	—
34	#2966	C₂²	1	1	yes	characteristic
35	C₈×#41	C₂²	1	1	yes	characteristic
36	C₈×#41	C₂²	1	1	yes	characteristic
37	Q₈×M₁₆	C₄	1	1	yes	characteristic
38	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
39	#2935	C₄	1	1	yes	characteristic
40	#2935	C₄	1	2	yes	—
41	#2931	C₂²	1	1	yes	characteristic
42	#2931	C₂²	1	2	yes	—
43	#2925	C₄	1	1	yes	characteristic
44	#2925	C₄	1	2	yes	—
45	C₄×#131	C₂²	1	1	yes	characteristic
46	C₄×#131	C₂²	1	2	yes	—
47	#2183	C₂²	1	1	yes	characteristic
48	#2183	C₂²	1	1	yes	characteristic
49	#2183	C₂²	1	1	yes	characteristic
50	#2183	C₂²	1	2	yes	—
51	#2183	C₂²	1	2	yes	—
52	#2183	C₂²	1	2	yes	—
53	#2183	C₂²	1	2	yes	—
54	#2183	C₂²	1	1	yes	characteristic
55	#2183	C₂²	1	1	yes	characteristic
56	#2183	C₂²	1	1	yes	characteristic
57	Q₈×C₁₆	C₂²	1	1	yes	characteristic
58	Q₈×C₁₆	C₂²	1	1	yes	characteristic
59	#2169	C₂²	1	1	yes	characteristic
60	#2169	C₂²	1	1	yes	characteristic
61	#2169	C₂²	1	1	yes	characteristic
62	#2169	C₂²	1	2	yes	—
63	#2169	C₂²	1	2	yes	—
64	#2169	C₂²	1	1	yes	characteristic
65	#2169	C₂²	1	2	yes	—
66	#2168	C₂²	1	2	yes	—
67	#2168	C₂²	1	2	yes	—
68	#2168	C₂²	1	2	yes	—
69	#2168	C₂²	1	2	yes	—
70	#2168	C₂²	1	2	yes	—
71	#2168	C₂²	1	2	yes	—
72	#2168	C₂²	1	2	yes	—
73	#2168	C₂²	1	2	yes	—
74	#2168	C₂²	1	2	yes	—
75	#2168	C₂²	1	2	yes	—
76	#2168	C₂²	1	2	yes	—
77	#2168	C₂²	1	2	yes	—
78	#2168	C₂²	1	2	yes	—
79	#2168	C₂²	1	2	yes	—
80	D₄×C₁₆	C₂²	1	1	yes	characteristic
81	D₄×C₁₆	C₂²	1	2	yes	—
82	D₄×C₁₆	C₂²	1	2	yes	—
83	D₄×C₁₆	C₂²	1	2	yes	—
84	D₄×C₁₆	C₂²	1	1	yes	characteristic
85	D₄×C₁₆	C₂²	1	1	yes	characteristic
86	D₄×C₁₆	C₂²	1	1	yes	characteristic
87	#2164	C₂²	1	1	yes	characteristic
88	#2164	C₂²	1	1	yes	characteristic
89	#2164	C₂²	1	1	yes	characteristic
90	#2164	C₂²	1	1	yes	characteristic
91	#2164	C₂²	1	2	yes	—
92	#2164	C₂²	1	2	yes	—
93	#2164	C₂²	1	2	yes	—
94	#2164	C₂²	1	2	yes	—
95	#2164	C₂²	1	2	yes	—
96	#2164	C₂²	1	2	yes	—
97	#2163	C₂²	1	2	yes	—
98	#2163	C₂²	1	2	yes	—
99	#2163	C₂²	1	2	yes	—
100	#2163	C₂²	1	2	yes	—
101	#2163	C₂²	1	1	yes	characteristic
102	#2163	C₂²	1	2	yes	—
103	#2163	C₂²	1	2	yes	—
104	#2163	C₂²	1	1	yes	characteristic
105	#2162	C₂²	1	1	yes	characteristic
106	#2162	C₂²	1	1	yes	characteristic
107	#2162	C₂²	1	1	yes	characteristic
108	#2162	C₂²	1	1	yes	characteristic
109	#2162	C₂²	1	2	yes	—
110	#2162	C₂²	1	1	yes	characteristic
111	#2162	C₂²	1	1	yes	characteristic
112	#2162	C₂²	1	2	yes	—
113	#2151	C₂²	1	1	yes	characteristic
114	#2151	C₂²	1	1	yes	characteristic
115	#2151	C₂²	1	2	yes	—
116	#2151	C₂²	1	2	yes	—
117	#2150	C₂²	1	2	yes	—
118	#2150	C₂²	1	1	yes	characteristic
119	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
120	C₂×C₄⋊C₁₆	C₂²	1	2	yes	—
121	#2113	C₂²	1	1	yes	characteristic
122	#2113	C₂²	1	1	yes	characteristic
123	#2113	C₂²	1	2	yes	—
124	#2113	C₂²	1	2	yes	—
125	#2113	C₂²	1	2	yes	—
126	#2113	C₂²	1	2	yes	—
127	#2113	C₂²	1	2	yes	—
128	#2108	C₂²	1	2	yes	—
129	#2108	C₂²	1	2	yes	—
130	#2108	C₂²	1	2	yes	—
131	C₄×M₃₂	C₂²	1	1	yes	characteristic
132	C₄×M₃₂	C₂²	1	2	yes	—
133	C₂×#346	C₂²	1	2	yes	—
134	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
135	C₂×#131	C₂×C₄	1	1	yes	characteristic
136	C₂×#131	C₂×C₄	1	2	yes	—
137	C₂×#131	C₂³	1	1	yes	characteristic
138	C₂×#131	C₂³	1	2	yes	—
139	#559	C₈	1	1	yes	characteristic
140	#559	C₈	1	2	yes	—
141	#557	C₈	1	1	yes	characteristic
142	#556	C₈	1	1	yes	characteristic
143	#556	C₈	1	2	yes	—
144	#553	C₈	1	1	yes	characteristic
145	#553	C₈	1	1	yes	characteristic
146	#553	C₈	1	2	yes	—
147	#553	C₈	1	2	yes	—
148	#550	C₈	1	1	yes	characteristic
149	#548	C₈	1	1	yes	characteristic
150	#548	C₈	1	1	yes	characteristic
151	#532	C₂×C₄	1	1	yes	characteristic
152	#532	C₂×C₄	1	2	yes	—
153	#529	C₂×C₄	1	1	yes	characteristic
154	#529	C₂×C₄	1	2	yes	—
155	#529	C₂×C₄	1	2	yes	—
156	#529	C₂×C₄	1	1	yes	characteristic
157	C₄×#41	C₂×C₄	1	1	yes	characteristic
158	C₄×#41	C₂×C₄	1	1	yes	characteristic
159	C₄×#41	C₂×C₄	1	1	yes	characteristic
160	C₄×#41	C₂×C₄	1	2	yes	—
161	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
162	C₂×M₃₂	C₂³	1	1	yes	characteristic
163	C₂×M₃₂	C₂³	1	1	yes	characteristic
164	C₂×M₃₂	C₂³	1	2	yes	—
165	C₂×M₃₂	C₂³	1	2	yes	—
166	C₂×M₃₂	C₂³	1	2	yes	—
167	C₂×M₃₂	C₂³	1	2	yes	—
168	C₂×M₃₂	C₂³	1	2	yes	—
169	C₂²×C₁₆	C₂³	1	1	yes	characteristic
170	C₂²×C₁₆	C₂³	1	1	yes	characteristic
171	C₂²×C₁₆	C₂³	1	2	yes	—
172	C₂²×C₁₆	C₂³	1	2	yes	—
173	C₂²×C₁₆	C₂³	1	2	yes	—
174	C₂²×C₁₆	C₂³	1	2	yes	—
175	C₂²×C₁₆	C₂³	1	2	yes	—
176	#446	C₂×C₄	1	1	yes	characteristic
177	#446	C₂×C₄	1	2	yes	—
178	#446	C₂×C₄	1	2	yes	—
179	#446	C₂×C₄	1	1	yes	characteristic
180	C₈×Q₈	C₂×C₄	1	1	yes	characteristic
181	C₈×Q₈	C₂×C₄	1	2	yes	—
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	C₂³	1	1	yes	characteristic
186	C₈×Q₈	C₂³	1	1	yes	characteristic
187	C₈×Q₈	C₂³	1	2	yes	—
188	#436	C₂×C₄	1	2	yes	—
189	#436	C₂×C₄	1	2	yes	—
190	#436	C₂×C₄	1	2	yes	—
191	#436	C₂×C₄	1	1	yes	characteristic
192	#436	C₂×C₄	1	1	yes	characteristic
193	#436	C₂×C₄	1	2	yes	—
194	#436	C₂×C₄	1	2	yes	—
195	#436	C₂×C₄	1	1	yes	characteristic
196	#436	C₂×C₄	1	2	yes	—
197	#436	C₂×C₄	1	2	yes	—
198	#436	C₂×C₄	1	1	yes	characteristic
199	#435	C₂×C₄	1	2	yes	—
200	#435	C₂×C₄	1	2	yes	—
201	#435	C₂×C₄	1	2	yes	—
202	#435	C₂×C₄	1	2	yes	—
203	#435	C₂×C₄	1	2	yes	—
204	#435	C₂×C₄	1	2	yes	—
205	C₈×D₄	C₂×C₄	1	1	yes	characteristic
206	C₈×D₄	C₂×C₄	1	2	yes	—
207	C₈×D₄	C₂×C₄	1	1	yes	characteristic
208	C₈×D₄	C₂×C₄	1	2	yes	—
209	C₈×D₄	C₂³	1	1	yes	characteristic
210	C₈×D₄	C₂³	1	1	yes	characteristic
211	C₈×D₄	C₂³	1	2	yes	—
212	C₈×D₄	C₂³	1	2	yes	—
213	C₈×D₄	C₂³	1	2	yes	—
214	C₈×D₄	C₂³	1	2	yes	—
215	C₈×D₄	C₂³	1	2	yes	—
216	#433	C₂×C₄	1	2	yes	—
217	#433	C₂×C₄	1	2	yes	—
218	#433	C₂×C₄	1	2	yes	—
219	#433	C₂×C₄	1	2	yes	—
220	#433	C₂×C₄	1	2	yes	—
221	#433	C₂×C₄	1	2	yes	—
222	#432	C₂×C₄	1	1	yes	characteristic
223	#432	C₂×C₄	1	2	yes	—
224	#432	C₂×C₄	1	2	yes	—
225	#432	C₂×C₄	1	1	yes	characteristic
226	#431	C₂×C₄	1	2	yes	—
227	#431	C₂×C₄	1	1	yes	characteristic
228	#431	C₂×C₄	1	2	yes	—
229	#431	C₂×C₄	1	1	yes	characteristic
230	#423	C₂×C₄	1	1	yes	characteristic
231	#423	C₂×C₄	1	2	yes	—
232	C₂×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
233	C₂×C₄⋊C₈	C₂×C₄	1	2	yes	—
234	#408	C₂×C₄	1	2	yes	—
235	#408	C₂×C₄	1	2	yes	—
236	#408	C₂×C₄	1	2	yes	—
237	#405	C₂×C₄	1	1	yes	characteristic
238	#405	C₂×C₄	1	2	yes	—
239	#405	C₂×C₄	1	1	yes	characteristic
240	#405	C₂×C₄	1	2	yes	—
241	#405	C₂×C₄	1	1	yes	characteristic
242	#405	C₂×C₄	1	2	yes	—
243	#405	C₂³	1	1	yes	characteristic
244	#405	C₂³	1	1	yes	characteristic
245	#405	C₂³	1	2	yes	—
246	#405	C₂³	1	1	yes	characteristic
247	#405	C₂³	1	2	yes	—
248	C₄×M₁₆	C₂×C₄	1	1	yes	characteristic
249	C₄×M₁₆	C₂×C₄	1	2	yes	—
250	C₄×M₁₆	C₂×C₄	1	1	yes	characteristic
251	C₄×M₁₆	C₂×C₄	1	2	yes	—
252	C₄×M₁₆	C₂×C₄	1	1	yes	characteristic
253	C₄×M₁₆	C₂×C₄	1	2	yes	—
254	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
255	C₂×C₄×C₈	C₂³	1	2	yes	—
256	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
257	C₂×C₄×C₈	C₂³	1	2	yes	—
258	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
259	C₂×C₄×C₈	C₂³	1	2	yes	—
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	1	yes	characteristic
266	C₄⋊C₁₆	C₂³	1	2	yes	—
267	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
268	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
269	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
270	C₄⋊C₁₆	C₂³	1	2	yes	—
271	C₄⋊C₁₆	C₂³	1	2	yes	—
272	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
273	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
274	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
275	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
276	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
277	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
278	C₄⋊C₁₆	C₂³	1	2	yes	—
279	C₄⋊C₁₆	C₂³	1	2	yes	—
280	C₄⋊C₁₆	C₂³	1	2	yes	—
281	C₄⋊C₁₆	C₂³	1	2	yes	—
282	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
283	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
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	2	yes	—
288	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
289	C₂²⋊C₁₆	C₂³	1	2	yes	—
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	1	yes	characteristic
295	C₂²⋊C₁₆	C₂³	1	2	yes	—
296	C₂²⋊C₁₆	C₂³	1	2	yes	—
297	C₂²⋊C₁₆	C₂³	1	2	yes	—
298	C₂²⋊C₁₆	C₂³	1	2	yes	—
299	C₂²⋊C₁₆	C₂³	1	2	yes	—
300	C₂²⋊C₁₆	C₂³	1	2	yes	—
301	C₂²⋊C₁₆	C₂³	1	2	yes	—
302	#346	C₂³	1	1	yes	characteristic
303	#346	C₂³	1	2	yes	—
304	#346	C₂³	1	2	yes	—
305	#346	C₂³	1	2	yes	—
306	#346	C₂³	1	1	yes	characteristic
307	#346	C₂³	1	2	yes	—
308	#346	C₂³	1	2	yes	—
309	#346	C₂³	1	2	yes	—
310	#346	C₂³	1	2	yes	—
311	#346	C₂³	1	2	yes	—
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	1	yes	characteristic
316	C₄×C₁₆	C₂³	1	2	yes	—
317	C₄×C₁₆	C₂³	1	1	yes	characteristic
318	C₄×C₁₆	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
324	C₂×#41	C₂²×C₄	1	1	yes	characteristic
325	C₂×#41	C₂²×C₄	1	2	yes	—
326	C₂²×Q₈	C₂×C₈	1	1	yes	characteristic
327	#131	—	4	1	no	—
328	#131	—	4	2	no	—
329	#131	—	4	1	no	—
330	#131	—	4	2	no	—
331	#131	—	4	2	no	—
332	#131	—	4	4	no	—
333	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
334	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
335	C₂×M₁₆	C₂²×C₄	1	2	yes	—
336	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
337	C₂×M₁₆	C₂²×C₄	1	2	yes	—
338	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
339	C₂×M₁₆	C₂²×C₄	1	2	yes	—
340	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
341	C₂×M₁₆	C₂²×C₄	1	2	yes	—
342	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
343	C₂×M₁₆	C₂²×C₄	1	2	yes	—
344	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
345	C₂²×C₈	C₂²×C₄	1	2	yes	—
346	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
347	C₂²×C₈	C₂²×C₄	1	2	yes	—
348	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
349	C₂²×C₈	C₂²×C₄	1	2	yes	—
350	C₂²×C₈	C₂⁴	1	1	yes	characteristic
351	C₂²×C₈	C₂⁴	1	1	yes	characteristic
352	C₂²×C₈	C₂⁴	1	2	yes	—
353	C₂²×C₈	C₂⁴	1	2	yes	—
354	C₂²×C₈	C₂⁴	1	1	yes	characteristic
355	C₄⋊Q₈	C₂×C₈	1	2	yes	—
356	C₄⋊Q₈	C₂×C₈	1	1	yes	characteristic
357	#127	C₂×C₈	1	1	yes	characteristic
358	#127	C₂×C₈	1	2	yes	—
359	#126	C₂×C₈	1	2	yes	—
360	#126	C₂×C₈	1	2	yes	—
361	#126	C₂×C₈	1	2	yes	—
362	#126	C₂×C₈	1	2	yes	—
363	#126	C₂×C₈	1	2	yes	—
364	#126	C₂×C₈	1	2	yes	—
365	#125	C₂×C₈	1	2	yes	—
366	#125	C₂×C₈	1	2	yes	—
367	#125	C₂×C₈	1	1	yes	characteristic
368	#125	C₂×C₈	1	1	yes	characteristic
369	#124	C₂×C₈	1	1	yes	characteristic
370	#124	C₂×C₈	1	1	yes	characteristic
371	#124	C₂×C₈	1	2	yes	—
372	#124	C₂×C₈	1	2	yes	—
373	#124	C₂×C₈	1	2	yes	—
374	#124	C₂×C₈	1	2	yes	—
375	#124	C₂×C₈	1	2	yes	—
376	#123	C₂×C₈	1	2	yes	—
377	#123	C₂×C₈	1	2	yes	—
378	#123	C₂×C₈	1	2	yes	—
379	#123	C₂×C₈	1	2	yes	—
380	#123	C₂×C₈	1	2	yes	—
381	#123	C₂×C₈	1	2	yes	—
382	C₂²⋊Q₈	C₂×C₈	1	1	yes	characteristic
383	C₂²⋊Q₈	C₂×C₈	1	1	yes	characteristic
384	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
385	C₂²⋊Q₈	C₂×C₈	1	2	yes	—
386	#121	C₂×C₈	1	1	yes	characteristic
387	#121	C₂×C₈	1	1	yes	characteristic
388	#121	C₂×C₈	1	2	yes	—
389	#121	C₂×C₈	1	2	yes	—
390	#121	C₂×C₈	1	1	yes	characteristic
391	#121	C₂×C₈	1	1	yes	characteristic
392	#121	C₂×C₈	1	2	yes	—
393	#121	C₂×C₈	1	2	yes	—
394	#121	C₂×C₈	1	2	yes	—
395	#121	C₂×C₈	1	2	yes	—
396	#121	C₂×C₈	1	2	yes	—
397	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
398	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
399	C₄×Q₈	C₂×C₈	1	2	yes	—
400	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
401	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
402	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
403	C₄×Q₈	C₂×C₈	1	2	yes	—
404	C₄×Q₈	C₂×C₈	1	2	yes	—
405	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
406	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
407	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
408	C₄×Q₈	C₂²×C₄	1	2	yes	—
409	C₄×D₄	C₂×C₈	1	1	yes	characteristic
410	C₄×D₄	C₂×C₈	1	1	yes	characteristic
411	C₄×D₄	C₂×C₈	1	2	yes	—
412	C₄×D₄	C₂×C₈	1	2	yes	—
413	C₄×D₄	C₂×C₈	1	1	yes	characteristic
414	C₄×D₄	C₂×C₈	1	2	yes	—
415	C₄×D₄	C₂×C₈	1	1	yes	characteristic
416	C₄×D₄	C₂×C₈	1	1	yes	characteristic
417	C₄×D₄	C₂×C₈	1	2	yes	—
418	C₄×D₄	C₂×C₈	1	2	yes	—
419	C₄×D₄	C₂×C₈	1	1	yes	characteristic
420	C₄×D₄	C₂×C₈	1	1	yes	characteristic
421	C₄×D₄	C₂×C₈	1	2	yes	—
422	C₄×D₄	C₂×C₈	1	2	yes	—
423	C₄×D₄	C₂×C₈	1	1	yes	characteristic
424	C₄×D₄	C₂×C₈	1	2	yes	—
425	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
426	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
427	C₄×D₄	C₂²×C₄	1	2	yes	—
428	C₄×D₄	C₂²×C₄	1	2	yes	—
429	C₄×D₄	C₂²×C₄	1	2	yes	—
430	C₄×D₄	C₂²×C₄	1	2	yes	—
431	C₄×D₄	C₂²×C₄	1	2	yes	—
432	#117	C₂×C₈	1	1	yes	characteristic
433	#117	C₂×C₈	1	1	yes	characteristic
434	#117	C₂×C₈	1	2	yes	—
435	#117	C₂×C₈	1	2	yes	—
436	#117	C₂²×C₄	1	1	yes	characteristic
437	#117	C₂²×C₄	1	1	yes	characteristic
438	#117	C₂²×C₄	1	2	yes	—
439	#117	C₂²×C₄	1	1	yes	characteristic
440	#117	C₂²×C₄	1	2	yes	—
441	C₂×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
442	C₂×C₄⋊C₄	C₂×C₈	1	2	yes	—
443	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
444	C₂×C₄²	C₂²×C₄	1	2	yes	—
445	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
446	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
447	C₂×C₄²	C₂²×C₄	1	2	yes	—
448	C₂×C₄²	C₂²×C₄	1	2	yes	—
449	M₃₂	—	4	1	no	—
450	M₃₂	—	4	2	no	—
451	M₃₂	—	4	2	no	—
452	M₃₂	—	4	1	no	—
453	M₃₂	—	4	2	no	—
454	M₃₂	—	4	2	no	—
455	M₃₂	—	4	2	no	—
456	C₂×C₁₆	—	4	2	no	—
457	C₂×C₁₆	—	4	1	no	—
458	C₂×C₁₆	—	4	2	no	—
459	C₂×C₁₆	—	4	2	no	—
460	C₂×C₁₆	—	4	2	no	—
461	C₂×C₁₆	—	4	2	no	—
462	C₂×C₁₆	—	4	1	no	—
463	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
464	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
465	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
466	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
467	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
468	C₂×C₁₆	C₂⁴	1	2	yes	—
469	C₂×C₁₆	C₂⁴	1	2	yes	—
470	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
471	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
472	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
473	C₂×C₁₆	C₂⁴	1	2	yes	—
474	C₂×C₁₆	C₂⁴	1	2	yes	—
475	C₄⋊C₈	C₂²×C₄	1	2	yes	—
476	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
477	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
478	C₄⋊C₈	C₂²×C₄	1	2	yes	—
479	C₄⋊C₈	C₂²×C₄	1	2	yes	—
480	C₄⋊C₈	C₂²×C₄	1	2	yes	—
481	C₄⋊C₈	C₂²×C₄	1	2	yes	—
482	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
483	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
484	C₄⋊C₈	C₂²×C₄	1	2	yes	—
485	C₄⋊C₈	C₂²×C₄	1	2	yes	—
486	C₄⋊C₈	C₂²×C₄	1	2	yes	—
487	C₄⋊C₈	C₂²×C₄	1	2	yes	—
488	C₄⋊C₈	C₂²×C₄	1	2	yes	—
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	2	yes	—
494	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
495	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
496	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
497	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
498	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
499	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
500	C₂²⋊C₈	C₂²×C₄	1	2	yes	—
501	#97	C₂²×C₄	1	1	yes	characteristic
502	#97	C₂²×C₄	1	1	yes	characteristic
503	#97	C₂²×C₄	1	1	yes	characteristic
504	#97	C₂²×C₄	1	2	yes	—
505	#97	C₂²×C₄	1	1	yes	characteristic
506	#97	C₂²×C₄	1	2	yes	—
507	#97	C₂²×C₄	1	1	yes	characteristic
508	#97	C₂²×C₄	1	2	yes	—
509	#97	C₂²×C₄	1	1	yes	characteristic
510	#97	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	C₂²×C₄	1	1	yes	characteristic
516	C₄×C₈	C₂²×C₄	1	2	yes	—
517	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
518	C₄×C₈	C₂²×C₄	1	2	yes	—
519	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
520	C₄×C₈	C₂²×C₄	1	2	yes	—
521	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
522	C₄×C₈	C₂²×C₄	1	2	yes	—
523	C₄×C₈	C₂⁴	1	1	yes	characteristic
524	C₄×C₈	C₂⁴	1	1	yes	characteristic
525	C₄×C₈	C₂⁴	1	2	yes	—
526	C₄×C₈	C₂⁴	1	1	yes	characteristic
527	C₄×C₈	C₂⁴	1	2	yes	—
528	C₄×C₈	C₂⁴	1	1	yes	characteristic
529	#41	—	4	1	no	—
530	#41	—	4	2	no	—
531	#41	—	4	1	no	—
532	#41	—	4	2	no	—
533	#41	—	4	2	no	—
534	#41	—	4	2	no	—
535	C₂×Q₈	—	4	2	no	—
536	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
537	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
538	C₂×Q₈	C₂²×C₈	1	2	yes	—
539	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
540	C₂×Q₈	C₂²×C₈	1	2	yes	—
541	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
542	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
543	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
544	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
545	C₂×D₄	C₂²×C₈	1	2	yes	—
546	C₂×D₄	C₂²×C₈	1	2	yes	—
547	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
548	C₂×D₄	C₂²×C₈	1	2	yes	—
549	C₂×D₄	C₂²×C₈	1	2	yes	—
550	C₂×D₄	C₂²×C₈	1	2	yes	—
551	C₂×D₄	C₂²×C₈	1	2	yes	—
552	C₂×D₄	C₂²×C₈	1	2	yes	—
553	C₂×D₄	C₂²×C₈	1	2	yes	—
554	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
555	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
556	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
557	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
558	C₂²×C₄	C₂²×C₈	1	2	yes	—
559	C₂²×C₄	C₂²×C₈	1	2	yes	—
560	C₂²×C₄	C₂²×C₈	1	2	yes	—
561	C₂²×C₄	C₂²×C₈	1	2	yes	—
562	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
563	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
564	C₂²×C₄	C₂²×C₈	1	2	yes	—
565	C₂²×C₄	C₂²×C₈	1	2	yes	—
566	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
567	C₂²×C₄	C₂³×C₄	1	2	yes	—
568	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
569	C₂²×C₄	C₂³×C₄	1	2	yes	—
570	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
571	M₁₆	—	2	2	no	—
572	M₁₆	—	2	4	no	—
573	M₁₆	—	2	2	no	—
574	M₁₆	—	4	1	no	—
575	M₁₆	—	4	2	no	—
576	M₁₆	—	4	1	no	—
577	M₁₆	—	4	2	no	—
578	M₁₆	—	4	1	no	—
579	M₁₆	—	4	2	no	—
580	M₁₆	—	4	1	no	—
581	M₁₆	—	4	2	no	—
582	C₂×C₈	—	2	2	no	—
583	C₂×C₈	—	2	4	no	—
584	C₂×C₈	—	2	2	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	2	no	—
588	C₂×C₈	—	2	2	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	—	2	1	no	—
591	C₂×C₈	—	2	2	no	—
592	C₂×C₈	—	2	1	no	—
593	C₂×C₈	—	2	1	no	—
594	C₂×C₈	—	4	1	no	—
595	C₂×C₈	—	4	2	no	—
596	C₂×C₈	—	4	1	no	—
597	C₂×C₈	—	4	2	no	—
598	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
599	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
600	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
601	C₂×C₈	C₂³×C₄	1	2	yes	—
602	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
603	C₂×C₈	C₂³×C₄	1	2	yes	—
604	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
605	C₂×C₈	C₂³×C₄	1	2	yes	—
606	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
607	C₂×C₈	C₂³×C₄	1	2	yes	—
608	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
609	C₂×C₈	C₂⁵	1	1	yes	characteristic
610	C₄⋊C₄	C₂²×C₈	1	2	yes	—
611	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
612	C₄⋊C₄	C₂²×C₈	1	2	yes	—
613	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
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	C₄⋊C₄	C₂²×C₈	1	2	yes	—
618	C₄⋊C₄	C₂²×C₈	1	2	yes	—
619	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
620	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
621	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
622	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
623	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
624	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
625	C₄⋊C₄	C₂²×C₈	1	2	yes	—
626	C₄⋊C₄	C₂²×C₈	1	2	yes	—
627	C₄⋊C₄	C₂²×C₈	1	2	yes	—
628	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
629	C₄⋊C₄	C₂²×C₈	1	2	yes	—
630	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
631	C₄⋊C₄	C₂²×C₈	1	2	yes	—
632	C₄⋊C₄	C₂²×C₈	1	2	yes	—
633	C₄⋊C₄	C₂²×C₈	1	2	yes	—
634	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
635	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
636	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
637	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
638	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
639	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
640	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
641	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
642	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
643	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
644	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
645	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
646	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
647	C₂²⋊C₄	C₂²×C₈	1	1	yes	characteristic
648	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
649	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
650	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
651	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
652	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
653	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
654	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
655	C₂²⋊C₄	C₂²×C₈	1	2	yes	—
656	C₄²	C₂²×C₈	1	1	yes	characteristic
657	C₄²	C₂²×C₈	1	1	yes	characteristic
658	C₄²	C₂²×C₈	1	2	yes	—
659	C₄²	C₂²×C₈	1	2	yes	—
660	C₄²	C₂²×C₈	1	2	yes	—
661	C₄²	C₂²×C₈	1	2	yes	—
662	C₄²	C₂²×C₈	1	1	yes	characteristic
663	C₄²	C₂²×C₈	1	1	yes	characteristic
664	C₄²	C₂²×C₈	1	1	yes	characteristic
665	C₄²	C₂²×C₈	1	2	yes	—
666	C₄²	C₂²×C₈	1	2	yes	—
667	C₄²	C₂²×C₈	1	1	yes	characteristic
668	C₄²	C₂³×C₄	1	1	yes	characteristic
669	C₄²	C₂³×C₄	1	1	yes	characteristic
670	C₄²	C₂³×C₄	1	2	yes	—
671	C₄²	C₂³×C₄	1	1	yes	characteristic
672	C₄²	C₂³×C₄	1	1	yes	characteristic
673	C₄²	C₂³×C₄	1	2	yes	—
674	C₁₆	—	2	1	no	—
675	C₁₆	—	2	2	no	—
676	C₁₆	—	2	1	no	—
677	C₁₆	—	2	1	no	—
678	C₁₆	—	2	1	no	—
679	C₁₆	—	2	2	no	—
680	C₁₆	—	2	1	no	—
681	C₁₆	—	2	2	no	—
682	C₁₆	—	2	2	no	—
683	C₁₆	—	2	1	no	—
684	C₁₆	—	2	1	no	—
685	C₁₆	—	2	1	no	—
686	C₂³	C₂³×C₈	1	1	yes	characteristic
687	C₂³	C₂³×C₈	1	1	yes	characteristic
688	C₂³	C₂³×C₈	1	2	yes	—
689	C₂³	C₂³×C₈	1	2	yes	—
690	C₂³	C₂³×C₈	1	1	yes	characteristic
691	Q₈	—	2	2	no	—
692	Q₈	—	2	2	no	—
693	Q₈	—	4	2	no	—
694	Q₈	—	4	2	no	—
695	Q₈	—	4	1	no	—
696	D₄	—	2	2	no	—
697	D₄	—	2	2	no	—
698	D₄	—	4	2	no	—
699	D₄	—	4	2	no	—
700	D₄	—	4	2	no	—
701	D₄	—	4	1	no	—
702	D₄	—	4	2	no	—
703	D₄	—	4	1	no	—
704	D₄	—	4	2	no	—
705	D₄	—	4	1	no	—
706	D₄	—	4	2	no	—
707	D₄	—	4	2	no	—
708	D₄	—	4	2	no	—
709	C₂×C₄	—	2	2	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	1	no	—
714	C₂×C₄	—	2	2	no	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	2	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	2	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	2	no	—
722	C₂×C₄	—	4	1	no	—
723	C₂×C₄	—	4	1	no	—
724	C₂×C₄	—	4	2	no	—
725	C₂×C₄	—	4	2	no	—
726	C₂×C₄	—	4	1	no	—
727	C₂×C₄	—	4	2	no	—
728	C₂×C₄	—	4	2	no	—
729	C₂×C₄	—	4	2	no	—
730	C₂×C₄	—	4	2	no	—
731	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
732	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
733	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
734	C₂×C₄	C₂³×C₈	1	2	yes	—
735	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
736	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
737	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
738	C₂×C₄	C₂³×C₈	1	2	yes	—
739	C₂×C₄	C₂³×C₈	1	2	yes	—
740	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
741	C₂×C₄	C₂³×C₈	1	2	yes	—
742	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
743	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
744	C₂×C₄	C₂³×C₈	1	2	yes	—
745	C₂×C₄	C₂³×C₈	1	2	yes	—
746	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
747	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
748	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
749	C₈	—	2	2	no	—
750	C₈	—	2	1	no	—
751	C₈	—	2	1	no	—
752	C₈	—	2	2	no	—
753	C₈	—	2	1	no	—
754	C₈	—	2	1	no	—
755	C₈	—	2	2	no	—
756	C₈	—	2	1	no	—
757	C₈	—	2	1	no	—
758	C₈	—	2	2	no	—
759	C₈	#568	1	2	yes	—
760	C₈	#585	1	1	yes	characteristic
761	C₈	#585	1	1	yes	characteristic
762	C₂²	—	2	1	no	—
763	C₂²	—	2	1	no	—
764	C₂²	—	2	2	no	—
765	C₂²	—	2	1	no	—
766	C₂²	—	2	2	no	—
767	C₂²	—	2	1	no	—
768	C₂²	—	2	1	no	—
769	C₂²	—	2	1	no	—
770	C₂²	—	2	2	no	—
771	C₂²	—	2	2	no	—
772	C₂²	—	2	1	no	—
773	C₂²	—	2	1	no	—
774	C₂²	—	2	1	no	—
775	C₂²	—	2	2	no	—
776	C₂²	—	2	2	no	—
777	C₂²	C₂⁴×C₈	1	1	yes	characteristic
778	C₄	—	2	1	no	—
779	C₄	—	2	2	no	—
780	C₄	—	2	1	no	—
781	C₄	—	2	2	no	—
782	C₄	—	2	1	no	—
783	C₄	—	2	1	no	—
784	C₄	—	2	1	no	—
785	C₄	—	2	1	no	—
786	C₄	—	2	2	no	—
787	C₄	—	2	2	no	—
788	C₄	—	2	1	no	—
789	C₄	—	2	1	no	—
790	C₄	—	2	2	no	—
791	C₄	—	2	1	no	—
792	C₄	—	2	2	no	—
793	C₄	—	2	1	no	—
794	C₄	#3407	1	2	yes	—
795	C₄	#3428	1	1	yes	characteristic
796	C₄	C₂×#568	1	1	yes	characteristic
797	C₂	—	4	1	no	—
798	C₂	—	4	1	no	—
799	C₂	—	4	1	no	—
800	C₂	—	4	2	no	—
801	C₂	—	4	2	no	—
802	C₂	#60276	1	1	yes	characteristic
803	C₂	C₂×#3407	1	1	yes	characteristic
804	C₂	#62624	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂×C₈	C₂⁵
commutator, socle	C₂²	C₂⁴×C₈
prime radical	#3480	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. #33498	C₂	semidirect
9. #33497	C₂	semidirect
10. #33495	C₂	semidirect
11. #33495	C₂	semidirect
12. #33494	C₂	semidirect
13. #33493	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. #33423	C₂	semidirect
21. #33423	C₂	semidirect
22. #33421	C₂	semidirect
23. #33420	C₂	semidirect

Maximal subgroups

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

subgroup	index
#60218	2
#33509	2
#33508	2
#33507	2
#33506	2
#33504	2
#33503	2
#33498	2
#33497	2
#33495	2
#33494	2
#33493	2
#33484	2
#33483	2
#33482	2
#33481	2
#33480	2
#33479	2
#33423	2
#33421	2
#33420	2