Subgroups — #27096312

Order 12032.

1776 conjugacy classes of subgroups.

The subgroup lattice has 842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257274	C₂	1	1	yes	maximal, characteristic, complemented
2	#20257207	C₂	1	1	yes	maximal, characteristic, complemented
3	#20256189	C₂	1	2	yes	maximal, complemented
4	#20256167	C₂	1	2	yes	maximal, complemented
5	#20256126	C₂	1	2	yes	maximal, complemented
6	#20256104	C₂	1	2	yes	maximal, complemented
7	#20256071	C₂	1	2	yes	maximal, complemented
8	#20256064	C₂	1	2	yes	maximal, complemented
9	#20256035	C₂	1	2	yes	maximal, complemented
10	#20256028	C₂	1	2	yes	maximal, complemented
11	#20253757	C₂	1	2	yes	maximal, complemented
12	C₂×#15689474	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253233	C₂	1	2	yes	maximal, complemented
14	#20253203	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252936	C₂	1	2	yes	maximal
16	#20252875	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252322	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252234	C₂	1	2	yes	maximal, complemented
19	C₄×#135×C₄₇	C₂	1	1	yes	maximal, characteristic
20	C₂×#13094054	C₂²	1	2	yes	—
21	Q₈×Dic₉₄	C₂²	1	2	yes	—
22	#15689852	C₂²	1	2	yes	—
23	#15689851	C₂²	1	2	yes	—
24	#15689851	C₂²	1	2	yes	—
25	#15689843	C₂²	1	2	yes	—
26	#15689843	C₂²	1	2	yes	—
27	#15689830	—	2	2	no	—
28	#15689830	C₂²	1	2	yes	—
29	#15689813	—	2	2	no	—
30	#15689813	—	2	2	no	—
31	D₄×Dic₉₄	—	2	2	no	—
32	D₄×Dic₉₄	C₂²	1	2	yes	—
33	#15689751	—	2	2	no	—
34	#15689751	C₂²	1	2	yes	—
35	#15689735	—	2	2	no	—
36	#15689694	C₂²	1	2	yes	—
37	#15689680	—	2	1	no	—
38	#15689680	—	2	1	no	—
39	#15689680	—	2	1	no	—
40	#15689680	C₂²	1	1	yes	characteristic
41	C₂×#13094024	—	2	1	no	—
42	C₂×#13094024	C₂²	1	1	yes	characteristic
43	C₂×#13094024	C₂²	1	1	yes	characteristic
44	#15689606	C₂²	1	2	yes	—
45	#15689600	C₂²	1	2	yes	—
46	#15689490	C₂²	1	4	yes	—
47	#15689481	C₂²	1	4	yes	—
48	#15689476	C₂²	1	4	yes	—
49	#15689474	C₂²	1	2	yes	—
50	#15689474	C₂²	1	2	yes	—
51	#15689474	C₂²	1	2	yes	—
52	#15689474	C₂²	1	2	yes	—
53	#15689472	C₂²	1	4	yes	—
54	#15689433	C₂²	1	4	yes	—
55	#15689429	C₂²	1	4	yes	—
56	#15689418	C₂²	1	2	yes	—
57	#15689417	C₂²	1	4	yes	—
58	#15689413	C₂²	1	2	yes	—
59	#15689408	C₂²	1	2	yes	—
60	#15689407	C₂²	1	4	yes	—
61	#15689403	C₂²	1	2	yes	—
62	#15689343	C₂²	1	4	yes	—
63	#15689336	C₂²	1	4	yes	—
64	#15689333	C₂²	1	2	yes	—
65	#15689333	C₂²	1	2	yes	—
66	#15689331	C₂²	1	4	yes	—
67	#15689328	C₂²	1	2	yes	—
68	#15689328	C₂²	1	2	yes	—
69	#15689326	C₂²	1	4	yes	—
70	#15689253	C₂²	1	2	yes	—
71	#15689253	C₂²	1	2	yes	—
72	C₈×Dic₉₄	C₂²	1	2	yes	—
73	C₈×Dic₉₄	C₂²	1	2	yes	—
74	#15689227	C₂²	1	4	yes	—
75	#15689220	C₂²	1	4	yes	—
76	#15689215	C₂²	1	4	yes	—
77	#15689214	C₂²	1	4	yes	—
78	#15689166	C₂²	1	2	yes	—
79	#15689149	C₂²	1	2	yes	—
80	#15689147	C₂²	1	1	yes	characteristic
81	#15689131	C₂²	1	2	yes	—
82	#15689124	C₂²	1	2	yes	—
83	C₂×#13093949	C₂²	1	2	yes	—
84	C₂×#13093949	C₂²	1	2	yes	—
85	#15689078	C₂²	1	2	yes	—
86	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
87	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
88	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
89	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic
90	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic
91	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
92	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
93	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
94	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
95	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
96	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
97	C₄₇×#427	C₂²	1	1	yes	characteristic
98	C₄₇×#416	C₂²	1	1	yes	characteristic
99	C₄₇×#416	C₂²	1	1	yes	characteristic
100	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
101	C₂²×Dic₉₄	—	2	1	no	—
102	C₂²×Dic₉₄	—	2	2	no	—
103	C₂²×Dic₉₄	C₂³	1	2	yes	—
104	#13094054	—	2	8	no	—
105	C₂×#10625337	C₂³	1	4	yes	—
106	C₂×#10625335	C₂³	1	4	yes	—
107	C₂×#10625329	C₂³	1	2	yes	—
108	#13094024	—	2	2	no	—
109	#13094024	—	2	1	no	—
110	#13094024	—	2	1	no	—
111	#13094024	—	2	1	no	—
112	#13094024	—	2	1	no	—
113	#13094024	—	2	2	no	—
114	#13094024	—	2	2	no	—
115	#13094024	D₄	1	1	yes	characteristic
116	#13094024	D₄	1	1	yes	characteristic
117	#13094024	C₂³	1	2	yes	—
118	#13094024	C₂³	1	2	yes	—
119	#13094024	C₂³	1	2	yes	—
120	#13094024	C₂³	1	2	yes	—
121	#13094023	—	2	4	no	—
122	#13094023	C₂³	1	4	yes	—
123	#13094022	C₂³	1	4	yes	—
124	#13094017	—	2	4	no	—
125	#13094017	—	2	4	no	—
126	#13094016	—	2	2	no	—
127	#13094016	—	2	2	no	—
128	#13094016	—	2	2	no	—
129	#13094016	D₄	1	2	yes	—
130	#13094015	—	2	4	no	—
131	#13094015	C₂³	1	4	yes	—
132	#13094014	—	2	4	no	—
133	#13094014	—	2	4	no	—
134	#13094011	C₂³	1	4	yes	—
135	#13094005	—	2	4	no	—
136	#13094003	—	2	2	no	—
137	#13094003	—	2	2	no	—
138	#13094003	—	2	2	no	—
139	#13094003	—	2	2	no	—
140	#13094003	—	2	2	no	—
141	#13094003	—	2	2	no	—
142	#13094003	D₄	1	2	yes	—
143	#13094003	D₄	1	2	yes	—
144	#13094001	—	2	4	no	—
145	#13094001	—	2	4	no	—
146	#13094001	—	2	4	no	—
147	Q₈×Dic₄₇	C₂³	1	4	yes	—
148	C₄×Dic₉₄	—	2	2	no	—
149	C₄×Dic₉₄	—	2	2	no	—
150	C₄×Dic₉₄	—	2	2	no	—
151	C₄×Dic₉₄	—	2	2	no	—
152	C₄×Dic₉₄	—	2	2	no	—
153	C₄×Dic₉₄	—	2	2	no	—
154	C₄×Dic₉₄	C₂³	1	2	yes	—
155	C₄×Dic₉₄	C₂³	1	2	yes	—
156	#13093989	C₂³	1	4	yes	—
157	#13093989	C₂³	1	4	yes	—
158	D₄×Dic₄₇	—	2	4	no	—
159	D₄×Dic₄₇	C₂³	1	4	yes	—
160	#13093983	—	2	2	no	—
161	#13093983	—	2	2	no	—
162	#13093983	—	2	2	no	—
163	#13093983	C₂³	1	2	yes	—
164	#13093980	—	2	4	no	—
165	C₂×C₄⋊Dic₄₇	—	2	1	no	—
166	C₂×C₄⋊Dic₄₇	—	2	1	no	—
167	C₂×C₄⋊Dic₄₇	—	2	1	no	—
168	C₂×C₄⋊Dic₄₇	—	2	2	no	—
169	C₂×C₄⋊Dic₄₇	—	2	2	no	—
170	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
171	#13093957	C₂³	1	4	yes	—
172	#13093955	C₂³	1	4	yes	—
173	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
174	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
175	Dic₄₇⋊C₈	C₂³	1	4	yes	—
176	Dic₄₇⋊C₈	C₂³	1	4	yes	—
177	#13093949	C₂³	1	4	yes	—
178	#13093949	C₂³	1	4	yes	—
179	#13093949	C₂³	1	4	yes	—
180	#13093949	C₂³	1	4	yes	—
181	#13093948	C₂³	1	4	yes	—
182	#13093947	C₂³	1	4	yes	—
183	#13093947	C₂³	1	4	yes	—
184	#13093945	C₂³	1	4	yes	—
185	#13093934	C₂³	1	4	yes	—
186	C₈×Dic₄₇	C₂³	1	4	yes	—
187	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
188	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
189	#135×C₄₇	—	2	4	no	—
190	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
191	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
192	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
193	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
195	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
196	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
197	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
198	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
199	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
200	C₄×D₄×C₄₇	—	2	1	no	—
201	C₄×D₄×C₄₇	—	2	1	no	—
202	C₄×D₄×C₄₇	—	2	1	no	—
203	C₄×D₄×C₄₇	—	2	1	no	—
204	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
205	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
206	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
207	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
208	#117×C₄₇	—	2	1	no	—
209	#117×C₄₇	—	2	1	no	—
210	#117×C₄₇	C₂³	1	1	yes	characteristic
211	#117×C₄₇	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₄₇	—	2	1	no	—
213	C₂×C₄²×C₄₇	—	2	1	no	—
214	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
215	#107×C₄₇	C₂³	1	1	yes	characteristic
216	#107×C₄₇	C₂³	1	1	yes	characteristic
217	#106×C₄₇	C₂³	1	1	yes	characteristic
218	#106×C₄₇	C₂³	1	1	yes	characteristic
219	#103×C₄₇	C₂³	1	1	yes	characteristic
220	#103×C₄₇	C₂³	1	1	yes	characteristic
221	#103×C₄₇	C₂³	1	1	yes	characteristic
222	#103×C₄₇	C₂³	1	1	yes	characteristic
223	#102×C₄₇	C₂³	1	1	yes	characteristic
224	#102×C₄₇	C₂³	1	1	yes	characteristic
225	#102×C₄₇	C₂³	1	1	yes	characteristic
226	#102×C₄₇	C₂³	1	1	yes	characteristic
227	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
228	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
229	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
230	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
231	#41×C₄₇	—	2	2	no	—
232	#41×C₄₇	—	2	2	no	—
233	#41×C₄₇	—	2	2	no	—
234	#41×C₄₇	#41	1	4	yes	—
235	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
236	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
237	C₂×D₄×C₄₇	—	2	1	no	—
238	C₂×D₄×C₄₇	—	2	1	no	—
239	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
240	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
241	C₂²×C₄×C₄₇	—	2	1	no	—
242	C₂²×C₄×C₄₇	—	2	1	no	—
243	C₂²×C₄×C₄₇	—	2	1	no	—
244	C₂²×C₄×C₄₇	—	2	1	no	—
245	C₂²×C₄×C₄₇	—	2	1	no	—
246	C₂²×C₄×C₄₇	—	2	1	no	—
247	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
248	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
249	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
250	C₂²×Dic₄₇	—	2	2	no	—
251	C₂²×Dic₄₇	—	2	2	no	—
252	C₂²×Dic₄₇	—	2	4	no	—
253	C₂×Dic₉₄	—	2	4	no	—
254	C₂×Dic₉₄	—	2	4	no	—
255	C₂×Dic₉₄	—	2	2	no	—
256	C₂×Dic₉₄	—	2	2	no	—
257	C₂×Dic₉₄	—	2	2	no	—
258	C₂×Dic₉₄	—	2	4	no	—
259	C₂×Dic₉₄	—	8	4	no	—
260	C₂×Dic₉₄	—	8	2	no	—
261	C₂×Dic₉₄	C₂×D₄	1	2	yes	—
262	C₂×Dic₉₄	C₂×D₄	1	2	yes	—
263	C₂×Dic₉₄	C₂⁴	1	4	yes	—
264	Q₁₆×C₄₇	—	2	2	no	—
265	SD₁₆×C₄₇	—	2	2	no	—
266	SD₁₆×C₄₇	—	2	2	no	—
267	D₈×C₄₇	—	2	2	no	—
268	C₂×C₈×C₄₇	—	2	2	no	—
269	C₂×C₈×C₄₇	—	2	2	no	—
270	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
271	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
272	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
273	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
274	C₄⋊C₄×C₄₇	—	2	1	no	—
275	C₄⋊C₄×C₄₇	—	2	1	no	—
276	C₄⋊C₄×C₄₇	—	2	1	no	—
277	C₄⋊C₄×C₄₇	—	2	1	no	—
278	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
279	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
280	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
281	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
282	C₂²⋊C₄×C₄₇	—	2	1	no	—
283	C₂²⋊C₄×C₄₇	—	2	1	no	—
284	C₂²⋊C₄×C₄₇	—	2	1	no	—
285	C₂²⋊C₄×C₄₇	—	2	1	no	—
286	C₂²⋊C₄×C₄₇	—	2	1	no	—
287	C₂²⋊C₄×C₄₇	—	2	1	no	—
288	C₄²×C₄₇	—	2	1	no	—
289	C₄²×C₄₇	—	2	1	no	—
290	C₄²×C₄₇	—	2	1	no	—
291	C₄²×C₄₇	—	2	1	no	—
292	C₄²×C₄₇	—	2	1	no	—
293	C₄²×C₄₇	—	2	1	no	—
294	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
295	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
296	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
297	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
298	C₂²⋊Dic₄₇	—	2	4	no	—
299	C₂²⋊Dic₄₇	—	2	4	no	—
300	C₂²⋊Dic₄₇	—	2	4	no	—
301	C₂²⋊Dic₄₇	C₂×D₄	1	4	yes	—
302	#10625337	—	2	8	no	—
303	#10625335	—	2	8	no	—
304	C₄⋊Dic₄₇	—	2	2	no	—
305	C₄⋊Dic₄₇	—	2	2	no	—
306	C₄⋊Dic₄₇	—	2	2	no	—
307	C₄⋊Dic₄₇	—	2	2	no	—
308	C₄⋊Dic₄₇	—	2	2	no	—
309	C₄⋊Dic₄₇	—	2	2	no	—
310	C₄⋊Dic₄₇	—	2	2	no	—
311	C₄⋊Dic₄₇	—	2	4	no	—
312	C₄⋊Dic₄₇	—	2	4	no	—
313	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
314	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
315	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
316	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
317	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
318	Dic₄₇⋊C₄	—	2	4	no	—
319	Dic₄₇⋊C₄	—	2	4	no	—
320	Dic₄₇⋊C₄	—	2	4	no	—
321	Dic₄₇⋊C₄	—	2	4	no	—
322	Dic₄₇⋊C₄	—	2	4	no	—
323	Dic₄₇⋊C₄	—	2	4	no	—
324	Dic₄₇⋊C₄	C₂×D₄	1	4	yes	—
325	Dic₄₇⋊C₄	C₂×D₄	1	4	yes	—
326	C₄×Dic₄₇	—	2	4	no	—
327	C₄×Dic₄₇	—	2	4	no	—
328	C₄×Dic₄₇	—	2	4	no	—
329	C₄×Dic₄₇	C₂⁴	1	4	yes	—
330	#10625329	—	2	4	no	—
331	C₂×C₄₇⋊C₈	C₂⁴	1	4	yes	—
332	C₂³×C₄₇	—	2	1	no	—
333	C₂³×C₄₇	—	2	1	no	—
334	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
335	Q₈×C₄₇	—	2	1	no	—
336	Q₈×C₄₇	—	2	1	no	—
337	Q₈×C₄₇	—	2	1	no	—
338	Q₈×C₄₇	C₂×#41	1	2	yes	—
339	D₄×C₄₇	—	2	4	no	—
340	D₄×C₄₇	—	2	1	no	—
341	D₄×C₄₇	—	2	1	no	—
342	D₄×C₄₇	—	2	1	no	—
343	D₄×C₄₇	—	4	2	no	—
344	D₄×C₄₇	C₂×#41	1	2	yes	—
345	C₂×C₄×C₄₇	—	2	1	no	—
346	C₂×C₄×C₄₇	—	2	4	no	—
347	C₂×C₄×C₄₇	—	2	2	no	—
348	C₂×C₄×C₄₇	—	2	2	no	—
349	C₂×C₄×C₄₇	—	2	1	no	—
350	C₂×C₄×C₄₇	—	2	1	no	—
351	C₂×C₄×C₄₇	—	2	1	no	—
352	C₂×C₄×C₄₇	—	2	1	no	—
353	C₂×C₄×C₄₇	—	2	1	no	—
354	C₂×C₄×C₄₇	—	4	2	no	—
355	C₂×C₄×C₄₇	—	4	2	no	—
356	C₂×C₄×C₄₇	—	4	2	no	—
357	C₂×C₄×C₄₇	—	4	2	no	—
358	C₂×C₄×C₄₇	—	4	2	no	—
359	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
360	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
361	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
362	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
363	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
364	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
365	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
366	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
367	C₂×Dic₄₇	—	2	4	no	—
368	C₂×Dic₄₇	—	2	4	no	—
369	C₂×Dic₄₇	—	4	4	no	—
370	C₂×Dic₄₇	—	8	4	no	—
371	C₂×Dic₄₇	—	8	2	no	—
372	C₂×Dic₄₇	C₂²×D₄	1	4	yes	—
373	C₂×Dic₄₇	C₂²×D₄	1	4	yes	—
374	Dic₉₄	—	2	4	no	—
375	Dic₉₄	—	2	4	no	—
376	Dic₉₄	—	2	4	no	—
377	Dic₉₄	—	2	4	no	—
378	Dic₉₄	—	4	4	no	—
379	Dic₉₄	—	4	4	no	—
380	Dic₉₄	—	8	4	no	—
381	Dic₉₄	—	8	2	no	—
382	C₈×C₄₇	—	2	1	no	—
383	C₈×C₄₇	—	2	1	no	—
384	C₈×C₄₇	—	2	1	no	—
385	C₈×C₄₇	—	2	1	no	—
386	C₄₇⋊C₈	—	2	4	no	—
387	#61330	—	47	1	no	maximal, Sylow
388	C₂²×C₄₇	—	2	1	no	—
389	C₂²×C₄₇	—	2	1	no	—
390	C₂²×C₄₇	—	2	2	no	—
391	C₂²×C₄₇	—	4	1	no	—
392	C₂²×C₄₇	—	4	1	no	—
393	C₂²×C₄₇	—	4	1	no	—
394	C₂²×C₄₇	—	4	1	no	—
395	C₂²×C₄₇	—	4	1	no	—
396	C₂²×C₄₇	#548	1	2	yes	—
397	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
398	C₄×C₄₇	—	2	2	no	—
399	C₄×C₄₇	—	2	1	no	—
400	C₄×C₄₇	—	2	1	no	—
401	C₄×C₄₇	—	4	1	no	—
402	C₄×C₄₇	—	4	1	no	—
403	C₄×C₄₇	—	4	1	no	—
404	C₄×C₄₇	—	4	1	no	—
405	C₄×C₄₇	—	4	1	no	—
406	C₄×C₄₇	#548	1	2	yes	—
407	C₄×C₄₇	#577	1	2	yes	—
408	C₄×C₄₇	#578	1	2	yes	—
409	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
410	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
411	Dic₄₇	—	2	4	no	—
412	Dic₄₇	—	2	4	no	—
413	Dic₄₇	—	4	4	no	—
414	Dic₄₇	—	4	4	no	—
415	#3509	—	47	1	no	—
416	#3503	—	47	1	no	—
417	#3374	—	47	2	no	—
418	#3372	—	47	2	no	—
419	#3369	—	47	2	no	—
420	#3367	—	47	2	no	—
421	#3364	—	47	2	no	—
422	#3363	—	47	2	no	—
423	#3360	—	47	2	no	—
424	#3359	—	47	2	no	—
425	#3137	—	47	2	no	—
426	C₂×#487	—	47	1	no	—
427	#3082	—	47	2	no	—
428	#3079	—	47	1	no	—
429	#3046	—	47	2	no	—
430	#3039	—	47	1	no	—
431	#2960	—	47	1	no	—
432	#2947	—	47	2	no	—
433	C₄×#135	D₄₇	1	1	yes	characteristic
434	C₂×C₄₇	—	2	2	no	—
435	C₂×C₄₇	—	4	2	no	—
436	C₂×C₄₇	—	8	1	no	—
437	C₂×C₄₇	C₂×#548	1	1	yes	characteristic
438	C₂×C₄₇	C₂×#577	1	1	yes	characteristic
439	C₂×C₄₇	C₂×#578	1	1	yes	characteristic
440	C₂×#137	—	47	2	no	—
441	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
442	Q₈²	—	47	2	no	—
443	#557	—	47	2	no	—
444	#557	—	47	2	no	—
445	#557	—	47	2	no	—
446	#556	—	47	2	no	—
447	#556	—	47	2	no	—
448	#554	—	47	2	no	—
449	#554	—	94	2	no	—
450	#552	—	94	2	no	—
451	#552	—	94	2	no	—
452	D₄×Q₈	—	47	2	no	—
453	D₄×Q₈	—	94	2	no	—
454	#544	—	47	2	no	—
455	#544	—	94	2	no	—
456	#541	—	94	2	no	—
457	#536	—	47	2	no	—
458	#533	—	47	1	no	—
459	#533	—	94	1	no	—
460	#533	—	94	1	no	—
461	#533	—	94	1	no	—
462	C₂×C₄⋊Q₈	—	47	1	no	—
463	C₂×C₄⋊Q₈	—	47	1	no	—
464	C₂×C₄⋊Q₈	—	94	1	no	—
465	#520	—	47	2	no	—
466	#519	—	47	2	no	—
467	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
468	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
469	#491	—	47	4	no	—
470	#489	—	47	4	no	—
471	#488	—	47	4	no	—
472	#487	—	47	4	no	—
473	#487	—	47	2	no	—
474	#487	—	47	2	no	—
475	#487	—	47	2	no	—
476	#487	—	47	2	no	—
477	#479	—	47	4	no	—
478	#479	—	47	4	no	—
479	#477	—	47	2	no	—
480	#477	—	47	4	no	—
481	#476	—	47	2	no	—
482	#475	—	47	2	no	—
483	#475	—	47	4	no	—
484	#474	—	47	2	no	—
485	#464	—	47	4	no	—
486	#463	—	47	4	no	—
487	#462	—	47	4	no	—
488	#462	—	47	2	no	—
489	#462	—	47	2	no	—
490	#461	—	47	4	no	—
491	#461	—	47	2	no	—
492	#461	—	47	2	no	—
493	#446	—	47	2	no	—
494	#446	—	47	2	no	—
495	C₈×Q₈	—	47	2	no	—
496	C₈×Q₈	—	47	2	no	—
497	#441	—	47	4	no	—
498	#440	—	47	4	no	—
499	C₄×Q₁₆	—	47	4	no	—
500	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic
501	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic
502	C₄×SD₁₆	—	47	4	no	—
503	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
504	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
505	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
506	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
507	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
508	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
509	#428	—	47	2	no	—
510	#427	C₂×D₄₇	1	1	yes	characteristic
511	#424	—	47	2	no	—
512	#423	—	47	1	no	—
513	#419	—	47	2	no	—
514	#417	—	47	2	no	—
515	#416	C₂×D₄₇	1	1	yes	characteristic
516	#416	C₂×D₄₇	1	1	yes	characteristic
517	C₂×#103	—	47	2	no	—
518	C₂×#103	—	47	2	no	—
519	#405	—	47	2	no	—
520	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
521	C₄₇	#61330	1	1	yes	characteristic, complemented, Sylow
522	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
523	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
524	C₂²×Q₈	—	47	2	no	—
525	C₂²×Q₈	—	94	2	no	—
526	C₂²×Q₈	—	94	1	no	—
527	#137	—	94	8	no	—
528	#135	—	2	4	no	—
529	C₂×Q₁₆	—	47	4	no	—
530	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
531	C₂×SD₁₆	—	47	4	no	—
532	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
533	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
534	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
535	C₂×M₁₆	—	47	2	no	—
536	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
537	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
538	C₄⋊Q₈	—	47	4	no	—
539	C₄⋊Q₈	—	47	4	no	—
540	C₄⋊Q₈	—	47	1	no	—
541	C₄⋊Q₈	—	47	1	no	—
542	C₄⋊Q₈	—	47	2	no	—
543	C₄⋊Q₈	—	47	2	no	—
544	C₄⋊Q₈	—	47	2	no	—
545	C₄⋊Q₈	—	47	2	no	—
546	C₄⋊Q₈	—	94	2	no	—
547	C₄⋊Q₈	—	94	2	no	—
548	C₄⋊Q₈	—	94	2	no	—
549	C₄⋊Q₈	—	94	4	no	—
550	C₄⋊Q₈	—	94	1	no	—
551	C₄⋊Q₈	—	94	1	no	—
552	C₄⋊Q₈	—	94	1	no	—
553	C₄⋊Q₈	—	94	1	no	—
554	#126	—	94	4	no	—
555	#126	—	94	4	no	—
556	#125	—	47	4	no	—
557	#125	—	47	2	no	—
558	#125	—	94	2	no	—
559	#125	—	94	2	no	—
560	#125	—	94	2	no	—
561	#125	—	94	4	no	—
562	#125	—	94	4	no	—
563	#125	—	94	4	no	—
564	#124	—	47	4	no	—
565	#123	—	94	4	no	—
566	C₂²⋊Q₈	—	47	2	no	—
567	C₂²⋊Q₈	—	47	2	no	—
568	C₂²⋊Q₈	—	94	4	no	—
569	C₂²⋊Q₈	—	94	4	no	—
570	C₂²⋊Q₈	—	94	4	no	—
571	C₂²⋊Q₈	—	94	2	no	—
572	C₂²⋊Q₈	—	94	2	no	—
573	C₂²⋊Q₈	—	94	2	no	—
574	C₂²⋊Q₈	—	94	2	no	—
575	C₂²⋊Q₈	—	94	2	no	—
576	C₂²⋊Q₈	—	94	2	no	—
577	C₄×Q₈	—	47	2	no	—
578	C₄×Q₈	—	47	2	no	—
579	C₄×Q₈	—	47	4	no	—
580	C₄×Q₈	—	47	4	no	—
581	C₄×Q₈	—	47	4	no	—
582	C₄×Q₈	—	94	2	no	—
583	C₄×Q₈	—	94	2	no	—
584	C₄×Q₈	—	94	2	no	—
585	C₄×Q₈	—	94	2	no	—
586	C₄×Q₈	—	94	2	no	—
587	C₄×Q₈	—	94	2	no	—
588	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
589	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
590	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
591	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
592	C₄×D₄	—	2	1	no	—
593	C₄×D₄	—	2	1	no	—
594	C₄×D₄	—	2	1	no	—
595	C₄×D₄	—	2	1	no	—
596	C₄×D₄	—	47	4	no	—
597	C₄×D₄	—	94	4	no	—
598	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
599	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
600	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
601	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
602	#117	—	2	1	no	—
603	#117	—	2	1	no	—
604	#117	—	47	2	no	—
605	#117	—	94	4	no	—
606	#117	—	94	2	no	—
607	#117	—	94	2	no	—
608	#117	—	94	2	no	—
609	#117	C₂²×D₄₇	1	1	yes	characteristic
610	#117	C₂²×D₄₇	1	1	yes	characteristic
611	C₂×C₄⋊C₄	—	47	2	no	—
612	C₂×C₄⋊C₄	—	94	2	no	—
613	C₂×C₄⋊C₄	—	94	2	no	—
614	C₂×C₄⋊C₄	—	94	1	no	—
615	C₂×C₄⋊C₄	—	94	1	no	—
616	C₂×C₄⋊C₄	—	94	1	no	—
617	C₂×C₄²	—	2	1	no	—
618	C₂×C₄²	—	2	1	no	—
619	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
620	#107	—	47	4	no	—
621	#107	C₂²×D₄₇	1	1	yes	characteristic
622	#107	C₂²×D₄₇	1	1	yes	characteristic
623	#106	—	47	4	no	—
624	#106	C₂²×D₄₇	1	1	yes	characteristic
625	#106	C₂²×D₄₇	1	1	yes	characteristic
626	C₄⋊C₈	—	47	4	no	—
627	C₄⋊C₈	—	47	4	no	—
628	C₄⋊C₈	—	47	2	no	—
629	C₄⋊C₈	—	47	2	no	—
630	#103	—	47	4	no	—
631	#103	—	47	4	no	—
632	#103	—	47	4	no	—
633	#103	—	47	4	no	—
634	#103	—	47	4	no	—
635	#103	—	47	4	no	—
636	#103	—	47	4	no	—
637	#103	C₂²×D₄₇	1	1	yes	characteristic
638	#103	C₂²×D₄₇	1	1	yes	characteristic
639	#103	C₂²×D₄₇	1	1	yes	characteristic
640	#103	C₂²×D₄₇	1	1	yes	characteristic
641	#102	—	47	4	no	—
642	#102	C₂²×D₄₇	1	1	yes	characteristic
643	#102	C₂²×D₄₇	1	1	yes	characteristic
644	#102	C₂²×D₄₇	1	1	yes	characteristic
645	#102	C₂²×D₄₇	1	1	yes	characteristic
646	#97	—	47	4	no	—
647	C₄×C₈	—	47	4	no	—
648	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
649	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
650	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
651	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
652	#41	—	2	2	no	—
653	#41	—	2	2	no	—
654	#41	—	2	2	no	—
655	#41	#10625350	1	4	yes	—
656	C₂×Q₈	—	47	2	no	—
657	C₂×Q₈	—	47	2	no	—
658	C₂×Q₈	—	47	4	no	—
659	C₂×Q₈	—	94	4	no	—
660	C₂×Q₈	—	94	2	no	—
661	C₂×Q₈	—	94	2	no	—
662	C₂×Q₈	—	94	2	no	—
663	C₂×Q₈	—	94	4	no	—
664	C₂×Q₈	—	94	4	no	—
665	C₂×Q₈	—	376	2	no	—
666	C₂×Q₈	—	376	4	no	—
667	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
668	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
669	C₂×D₄	—	2	1	no	—
670	C₂×D₄	—	2	1	no	—
671	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
672	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
673	C₂²×C₄	—	2	1	no	—
674	C₂²×C₄	—	2	1	no	—
675	C₂²×C₄	—	2	1	no	—
676	C₂²×C₄	—	2	1	no	—
677	C₂²×C₄	—	2	1	no	—
678	C₂²×C₄	—	2	1	no	—
679	C₂²×C₄	—	94	4	no	—
680	C₂²×C₄	—	94	2	no	—
681	C₂²×C₄	—	94	2	no	—
682	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
683	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
684	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
685	Q₁₆	—	2	2	no	—
686	Q₁₆	—	94	8	no	—
687	SD₁₆	—	2	2	no	—
688	SD₁₆	—	2	2	no	—
689	SD₁₆	—	94	8	no	—
690	D₈	—	2	2	no	—
691	M₁₆	—	94	4	no	—
692	C₂×C₈	—	2	2	no	—
693	C₂×C₈	—	2	2	no	—
694	C₂×C₈	—	47	4	no	—
695	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
696	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
697	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
698	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
699	C₄⋊C₄	—	2	1	no	—
700	C₄⋊C₄	—	2	1	no	—
701	C₄⋊C₄	—	2	1	no	—
702	C₄⋊C₄	—	2	1	no	—
703	C₄⋊C₄	—	47	4	no	—
704	C₄⋊C₄	—	47	4	no	—
705	C₄⋊C₄	—	47	2	no	—
706	C₄⋊C₄	—	47	2	no	—
707	C₄⋊C₄	—	47	2	no	—
708	C₄⋊C₄	—	47	2	no	—
709	C₄⋊C₄	—	47	4	no	—
710	C₄⋊C₄	—	94	4	no	—
711	C₄⋊C₄	—	94	4	no	—
712	C₄⋊C₄	—	94	4	no	—
713	C₄⋊C₄	—	94	4	no	—
714	C₄⋊C₄	—	94	4	no	—
715	C₄⋊C₄	—	94	4	no	—
716	C₄⋊C₄	—	94	4	no	—
717	C₄⋊C₄	—	94	4	no	—
718	C₄⋊C₄	—	94	2	no	—
719	C₄⋊C₄	—	94	2	no	—
720	C₄⋊C₄	—	94	2	no	—
721	C₄⋊C₄	—	94	2	no	—
722	C₄⋊C₄	—	94	2	no	—
723	C₄⋊C₄	—	94	2	no	—
724	C₄⋊C₄	—	94	2	no	—
725	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
726	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
727	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
728	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
729	C₂²⋊C₄	—	2	1	no	—
730	C₂²⋊C₄	—	2	1	no	—
731	C₂²⋊C₄	—	2	1	no	—
732	C₂²⋊C₄	—	2	1	no	—
733	C₂²⋊C₄	—	2	1	no	—
734	C₂²⋊C₄	—	2	1	no	—
735	C₂²⋊C₄	—	47	4	no	—
736	C₂²⋊C₄	—	94	4	no	—
737	C₂²⋊C₄	—	94	4	no	—
738	C₂²⋊C₄	—	94	4	no	—
739	C₄²	—	2	1	no	—
740	C₄²	—	2	1	no	—
741	C₄²	—	2	1	no	—
742	C₄²	—	2	1	no	—
743	C₄²	—	2	1	no	—
744	C₄²	—	2	1	no	—
745	C₄²	—	47	4	no	—
746	C₄²	—	94	4	no	—
747	C₄²	—	94	4	no	—
748	C₄²	—	94	4	no	—
749	C₄²	D₄×D₄₇	1	1	yes	characteristic
750	C₄²	D₄×D₄₇	1	1	yes	characteristic
751	C₄²	C₂³×D₄₇	1	1	yes	characteristic
752	C₄²	C₂³×D₄₇	1	1	yes	characteristic
753	C₂³	—	2	1	no	—
754	C₂³	—	2	1	no	—
755	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
756	Q₈	—	2	1	no	—
757	Q₈	—	2	1	no	—
758	Q₈	—	2	1	no	—
759	Q₈	—	94	4	no	—
760	Q₈	—	94	4	no	—
761	Q₈	—	94	4	no	—
762	Q₈	—	94	4	no	—
763	Q₈	—	376	2	no	—
764	Q₈	—	376	4	no	—
765	Q₈	—	188	4	no	—
766	Q₈	—	188	4	no	—
767	Q₈	C₂×#10625350	1	2	yes	—
768	D₄	—	2	4	no	—
769	D₄	—	2	1	no	—
770	D₄	—	2	1	no	—
771	D₄	—	2	1	no	—
772	D₄	—	4	2	no	—
773	D₄	C₂×#10625350	1	2	yes	—
774	C₂×C₄	—	2	1	no	—
775	C₂×C₄	—	2	4	no	—
776	C₂×C₄	—	2	2	no	—
777	C₂×C₄	—	2	2	no	—
778	C₂×C₄	—	2	1	no	—
779	C₂×C₄	—	2	1	no	—
780	C₂×C₄	—	2	1	no	—
781	C₂×C₄	—	2	1	no	—
782	C₂×C₄	—	2	1	no	—
783	C₂×C₄	—	4	2	no	—
784	C₂×C₄	—	4	2	no	—
785	C₂×C₄	—	4	2	no	—
786	C₂×C₄	—	4	2	no	—
787	C₂×C₄	—	4	2	no	—
788	C₂×C₄	—	47	4	no	—
789	C₂×C₄	—	47	4	no	—
790	C₂×C₄	—	94	4	no	—
791	C₂×C₄	—	94	4	no	—
792	C₂×C₄	—	376	4	no	—
793	C₂×C₄	—	376	2	no	—
794	C₂×C₄	—	188	4	no	—
795	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
796	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
797	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
798	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
799	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
800	C₂×C₄	C₂×#10625350	1	2	yes	—
801	C₂×C₄	#13094071	1	2	yes	—
802	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
803	C₈	—	2	1	no	—
804	C₈	—	2	1	no	—
805	C₈	—	2	1	no	—
806	C₈	—	2	1	no	—
807	C₈	—	94	4	no	—
808	C₂²	—	2	1	no	—
809	C₂²	—	2	1	no	—
810	C₂²	—	2	2	no	—
811	C₂²	—	4	1	no	—
812	C₂²	—	4	1	no	—
813	C₂²	—	4	1	no	—
814	C₂²	—	4	1	no	—
815	C₂²	—	4	1	no	—
816	C₂²	#15689782	1	2	yes	—
817	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
818	C₄	—	2	2	no	—
819	C₄	—	2	1	no	—
820	C₄	—	2	1	no	—
821	C₄	—	4	1	no	—
822	C₄	—	4	1	no	—
823	C₄	—	4	1	no	—
824	C₄	—	4	1	no	—
825	C₄	—	4	1	no	—
826	C₄	—	94	4	no	—
827	C₄	—	94	4	no	—
828	C₄	—	188	4	no	—
829	C₄	—	188	4	no	—
830	C₄	#15689782	1	2	yes	—
831	C₄	#15689930	1	2	yes	—
832	C₄	#15689937	1	2	yes	—
833	C₄	C₂²×#10625350	1	1	yes	characteristic
834	C₄	C₂×#13094071	1	1	yes	characteristic
835	C₂	—	2	2	no	—
836	C₂	—	4	2	no	—
837	C₂	—	8	1	no	—
838	C₂	C₂×#15689782	1	1	yes	characteristic
839	C₂	C₂×#15689930	1	1	yes	characteristic
840	C₂	C₂×#15689937	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄×#135×C₄₇	C₂
socle	C₂²×C₄₇	C₂³×D₄
prime radical	C₂×#135×C₄₇	C₂²
hypercenter	C₄×#135	D₄₇
hypocenter	C₄₇	#61330
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₄×#135

Complements

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

N	H ≅ G/N	type
1. #20257274	C₂	semidirect
2. #20257207	C₂	semidirect
3. #20256189	C₂	semidirect
4. #20256167	C₂	semidirect
5. #20256126	C₂	semidirect
6. #20256104	C₂	semidirect
7. #20256071	C₂	semidirect
8. #20256064	C₂	semidirect
9. #20256035	C₂	semidirect
10. #20256028	C₂	semidirect
11. #20253757	C₂	semidirect
12. C₂×#15689474	C₂	semidirect
13. #20253233	C₂	semidirect
14. #20253203	C₂	semidirect
16. #20252875	C₂	semidirect
17. #20252322	C₂	semidirect
18. #20252234	C₂	semidirect
521. C₄₇	#61330	semidirect

Maximal subgroups

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

subgroup	index
#20257274	2
#20257207	2
#20256189	2
#20256167	2
#20256126	2
#20256104	2
#20256071	2
#20256064	2
#20256035	2
#20256028	2
#20253757	2
C₂×#15689474	2
#20253233	2
#20253203	2
#20252936	2
#20252875	2
#20252322	2
#20252234	2
C₄×#135×C₄₇	2
#61330	47