Subgroups — #30677791

Order 16768.

408 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22553996	C₂	1	1	yes	maximal, characteristic, complemented
2	#22553959	C₂	1	1	yes	maximal, characteristic
3	#22553665	C₂	1	1	yes	maximal, characteristic, complemented
4	#22553644	C₂	1	1	yes	maximal, characteristic, complemented
5	#22553633	C₂	1	1	yes	maximal, characteristic, complemented
6	#22553611	C₂	1	1	yes	maximal, characteristic, complemented
7	#22553552	C₂	1	1	yes	maximal, characteristic, complemented
8	#22553532	C₂	1	1	yes	maximal, characteristic, complemented
9	#22553472	C₂	1	1	yes	maximal, characteristic, complemented
10	#22553461	C₂	1	1	yes	maximal, characteristic, complemented
11	#22553397	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈×C₂²⋊D₁₃₁	C₂	1	1	yes	maximal, characteristic, complemented
13	#22553309	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₁₃₁	C₂	1	1	yes	maximal, characteristic, complemented
15	#465×C₁₃₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14523513	C₂²	1	1	yes	characteristic
17	C₂×D₄×D₁₃₁	C₂²	1	1	yes	characteristic
18	C₂×#14523503	C₂²	1	1	yes	characteristic, complemented
19	C₂×#14523500	C₂²	1	1	yes	characteristic
20	C₂×C₈×D₁₃₁	C₂²	1	1	yes	characteristic
21	#16862239	—	2	1	no	—
22	#16862237	C₂²	1	1	yes	characteristic, complemented
23	#16862236	—	2	1	no	—
24	#16862233	C₂²	1	1	yes	characteristic
25	#16862228	—	2	1	no	—
26	#16862228	—	2	1	no	—
27	#16862226	C₂²	1	1	yes	characteristic
28	#16862222	C₂²	1	1	yes	characteristic
29	#16862217	—	2	1	no	—
30	#16862214	—	2	1	no	—
31	Q₈×Dic₁₃₁	C₂²	1	1	yes	characteristic, complemented
32	#16862208	C₂²	1	1	yes	characteristic
33	C₄×C₂²⋊D₁₃₁	C₂²	1	1	yes	characteristic
34	#16862205	C₂²	1	1	yes	characteristic, complemented
35	#16862204	—	2	1	no	—
36	C₄⋊C₄×D₁₃₁	C₂²	1	1	yes	characteristic
37	C₂²⋊C₄×D₁₃₁	—	2	1	no	—
38	#16862179	C₂²	1	1	yes	characteristic, complemented
39	#16862177	C₂²	1	1	yes	characteristic, complemented
40	Dic₁₃₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
41	#16862171	C₂²	1	1	yes	characteristic, complemented
42	#16862171	C₂²	1	1	yes	characteristic, complemented
43	#16862169	C₂²	1	1	yes	characteristic, complemented
44	#16862168	C₂²	1	1	yes	characteristic
45	#16862168	C₂²	1	1	yes	characteristic
46	#16862167	C₂²	1	1	yes	characteristic
47	#16862167	C₂²	1	1	yes	characteristic
48	#16862166	C₂²	1	1	yes	characteristic
49	C₂²⋊(C₁₃₁⋊C₈)	C₂²	1	1	yes	characteristic, complemented
50	(C₂×D₁₃₁)⋊C₈	C₂²	1	1	yes	characteristic
51	C₈×Dic₁₃₁	C₂²	1	1	yes	characteristic, complemented
52	C₂×SD₁₆×C₁₃₁	C₂²	1	1	yes	characteristic
53	C₂²×C₈×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
54	C₂²⋊Q₈×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
55	#121×C₁₃₁	C₂²	1	1	yes	characteristic
56	#106×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
57	#103×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
58	#102×C₁₃₁	C₂²	1	1	yes	characteristic
59	C₂³×D₁₃₁	—	2	1	no	—
60	#14523513	—	2	2	no	—
61	#14523513	—	4	1	no	—
62	C₂×Dic₂₆₂	C₂³	1	1	yes	characteristic
63	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
64	C₂×C₂²⋊D₁₃₁	—	2	1	no	—
65	C₂×C₂²⋊D₁₃₁	—	2	1	no	—
66	C₂×C₂²⋊D₁₃₁	D₄	1	1	yes	characteristic
67	D₄×D₁₃₁	—	2	2	no	—
68	D₄×D₁₃₁	—	4	1	no	—
69	C₂×C₄×D₁₃₁	—	2	1	no	—
70	C₂×C₄×D₁₃₁	—	2	1	no	—
71	C₂×C₄×D₁₃₁	—	2	1	no	—
72	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
73	#14523503	—	4	1	no	—
74	#14523500	—	2	2	no	—
75	C₂×C₁₃₁⋊C₈	C₂³	1	1	yes	characteristic
76	C₂×C₁₃₁⋊C₈	C₂³	1	1	yes	characteristic
77	C₈×D₁₃₁	—	4	1	no	—
78	C₄⋊Dic₁₃₁	—	2	1	no	—
79	C₄⋊Dic₁₃₁	—	2	1	no	—
80	C₄⋊Dic₁₃₁	—	2	1	no	—
81	C₄⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
82	C₄⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
83	Dic₁₃₁⋊C₄	—	2	1	no	—
84	Dic₁₃₁⋊C₄	—	2	1	no	—
85	Dic₁₃₁⋊C₄	—	2	1	no	—
86	Dic₁₃₁⋊C₄	D₄	1	1	yes	characteristic
87	C₂²⋊Dic₁₃₁	—	2	1	no	—
88	C₂²⋊Dic₁₃₁	—	2	1	no	—
89	C₂²⋊Dic₁₃₁	—	2	1	no	—
90	C₂²⋊Dic₁₃₁	D₄	1	1	yes	characteristic
91	(C₂×D₁₃₁)⋊C₄	—	2	1	no	—
92	(C₂×D₁₃₁)⋊C₄	—	2	1	no	—
93	(C₂×D₁₃₁)⋊C₄	—	2	1	no	—
94	(C₂×D₁₃₁)⋊C₄	D₄	1	1	yes	characteristic
95	C₄×Dic₁₃₁	—	2	1	no	—
96	C₄×Dic₁₃₁	—	2	1	no	—
97	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
98	C₂×Q₈×C₁₃₁	C₂³	1	1	yes	characteristic
99	C₂×D₄×C₁₃₁	—	2	1	no	—
100	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
101	C₂²×C₄×C₁₃₁	C₂³	1	1	yes	characteristic
102	SD₁₆×C₁₃₁	—	4	1	no	—
103	C₂×C₈×C₁₃₁	—	4	1	no	—
104	C₂×C₈×C₁₃₁	C₂³	1	1	yes	characteristic
105	C₂×C₈×C₁₃₁	C₂³	1	1	yes	characteristic
106	C₄⋊C₄×C₁₃₁	—	2	1	no	—
107	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
108	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
109	C₂²⋊C₄×C₁₃₁	—	2	1	no	—
110	C₂²⋊C₄×C₁₃₁	—	2	1	no	—
111	C₂²×D₁₃₁	—	2	1	no	—
112	C₂²×D₁₃₁	—	4	2	no	—
113	C₂²×D₁₃₁	—	4	2	no	—
114	C₂²×D₁₃₁	—	8	1	no	—
115	C₂²×D₁₃₁	C₂×D₄	1	1	yes	characteristic
116	Dic₂₆₂	—	2	1	no	—
117	Dic₂₆₂	—	2	1	no	—
118	D₅₂₄	—	2	1	no	—
119	D₅₂₄	#41	1	2	yes	—
120	C₂²⋊D₁₃₁	—	2	2	no	—
121	C₂²⋊D₁₃₁	—	4	2	no	—
122	C₂²⋊D₁₃₁	—	4	2	no	—
123	C₂×Dic₁₃₁	—	2	1	no	—
124	C₂×Dic₁₃₁	—	2	1	no	—
125	C₂×Dic₁₃₁	—	2	1	no	—
126	C₂×Dic₁₃₁	C₂×D₄	1	1	yes	characteristic
127	C₂×Dic₁₃₁	C₂×D₄	1	1	yes	characteristic
128	C₂×Dic₁₃₁	C₂×D₄	1	1	yes	characteristic
129	C₄×D₁₃₁	—	2	1	no	—
130	C₄×D₁₃₁	—	2	1	no	—
131	C₄×D₁₃₁	—	4	2	no	—
132	C₄×D₁₃₁	—	4	2	no	—
133	C₄×D₁₃₁	—	8	1	no	—
134	C₁₃₁⋊C₈	—	2	1	no	—
135	C₁₃₁⋊C₈	—	2	1	no	—
136	C₂³×C₁₃₁	—	2	1	no	—
137	C₂³×C₁₃₁	C₂×D₄	1	1	yes	characteristic
138	Q₈×C₁₃₁	—	2	1	no	—
139	Q₈×C₁₃₁	—	2	1	no	—
140	D₄×C₁₃₁	—	2	1	no	—
141	D₄×C₁₃₁	—	2	1	no	—
142	D₄×C₁₃₁	—	8	1	no	—
143	C₂×C₄×C₁₃₁	—	2	1	no	—
144	C₂×C₄×C₁₃₁	—	2	1	no	—
145	C₂×C₄×C₁₃₁	—	2	1	no	—
146	C₂×C₄×C₁₃₁	—	2	1	no	—
147	C₂×C₄×C₁₃₁	—	2	1	no	—
148	C₂×C₄×C₁₃₁	C₂×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
150	C₈×C₁₃₁	—	2	1	no	—
151	C₈×C₁₃₁	—	2	1	no	—
152	C₂²×C₁₃₁	—	2	1	no	—
153	C₂²×C₁₃₁	—	2	1	no	—
154	C₂²×C₁₃₁	—	2	1	no	—
155	C₂²×C₁₃₁	—	4	1	no	—
156	C₂²×C₁₃₁	—	4	1	no	—
157	C₂²×C₁₃₁	—	4	1	no	—
158	C₂²×C₁₃₁	C₂²×D₄	1	1	yes	characteristic
159	C₂×D₁₃₁	—	2	1	no	—
160	C₂×D₁₃₁	—	2	1	no	—
161	C₂×D₁₃₁	—	2	2	no	—
162	C₂×D₁₃₁	—	4	1	no	—
163	C₂×D₁₃₁	—	4	1	no	—
164	C₂×D₁₃₁	—	8	4	no	—
165	C₂×D₁₃₁	#135	1	2	yes	—
166	C₄×C₁₃₁	—	2	1	no	—
167	C₄×C₁₃₁	—	4	1	no	—
168	C₄×C₁₃₁	—	4	1	no	—
169	C₄×C₁₃₁	—	4	1	no	—
170	C₄×C₁₃₁	C₂×#41	1	1	yes	characteristic
171	C₄×C₁₃₁	H(5,𝔽₂)	1	1	yes	characteristic
172	Dic₁₃₁	—	2	1	no	—
173	Dic₁₃₁	—	2	1	no	—
174	Dic₁₃₁	—	2	1	no	—
175	Dic₁₃₁	—	4	1	no	—
176	Dic₁₃₁	—	4	1	no	—
177	Dic₁₃₁	—	4	1	no	—
178	C₂×C₁₃₁	—	4	1	no	—
179	C₂×C₁₃₁	—	8	1	no	—
180	C₂×C₁₃₁	#546	1	1	yes	characteristic
181	C₂×C₁₃₁	C₂×#135	1	1	yes	characteristic
182	C₂×C₁₃₁	#577	1	1	yes	characteristic
183	D₁₃₁	—	2	2	no	—
184	D₁₃₁	—	4	2	no	—
185	C₁₃₁	#3296	1	1	yes	characteristic, complemented, Sylow
186	#3296	—	131	1	no	maximal, Sylow
187	#552	—	131	1	no	—
188	#546	—	131	1	no	—
189	#488	—	131	1	no	—
190	#483	—	131	1	no	—
191	#482	—	131	1	no	—
192	#478	—	131	1	no	—
193	#467	—	131	1	no	—
194	#465	D₁₃₁	1	1	yes	characteristic, complemented
195	#464	—	131	1	no	—
196	#452	—	131	1	no	—
197	#450	—	131	1	no	—
198	C₄×SD₁₆	—	131	1	no	—
199	C₈×D₄	—	131	1	no	—
200	#416	—	131	1	no	—
201	C₂×#102	—	131	1	no	—
202	C₂×#41	—	131	1	no	—
203	C₂²×D₄	—	131	1	no	—
204	C₂×Q₁₆	—	131	1	no	—
205	C₂×SD₁₆	—	131	1	no	—
206	C₂×SD₁₆	C₂×D₁₃₁	1	1	yes	characteristic
207	C₂²×C₈	—	131	1	no	—
208	C₂²×C₈	C₂×D₁₃₁	1	1	yes	characteristic, complemented
209	#126	—	262	1	no	—
210	#125	—	262	1	no	—
211	#125	—	131	1	no	—
212	#124	—	131	1	no	—
213	#123	—	262	1	no	—
214	#123	—	262	1	no	—
215	C₂²⋊Q₈	—	131	1	no	—
216	C₂²⋊Q₈	—	131	1	no	—
217	C₂²⋊Q₈	C₂×D₁₃₁	1	1	yes	characteristic, complemented
218	#121	—	262	1	no	—
219	#121	C₂×D₁₃₁	1	1	yes	characteristic
220	#120	—	262	1	no	—
221	C₄×Q₈	—	131	1	no	—
222	C₄×D₄	—	131	1	no	—
223	C₄×D₄	—	131	1	no	—
224	#117	—	262	1	no	—
225	#117	—	131	1	no	—
226	C₂×C₄⋊C₄	—	131	1	no	—
227	C₂×C₂²⋊C₄	—	262	1	no	—
228	#107	—	131	1	no	—
229	#106	—	131	1	no	—
230	#106	C₂×D₁₃₁	1	1	yes	characteristic, complemented
231	C₄⋊C₈	—	131	1	no	—
232	#103	—	131	1	no	—
233	#103	—	131	1	no	—
234	#103	—	131	1	no	—
235	#103	C₂×D₁₃₁	1	1	yes	characteristic, complemented
236	#102	—	131	1	no	—
237	#102	—	131	1	no	—
238	#102	—	131	1	no	—
239	#102	—	131	1	no	—
240	#102	—	131	1	no	—
241	#102	C₂×D₁₃₁	1	1	yes	characteristic
242	C₂²⋊C₈	—	131	1	no	—
243	C₂²⋊C₈	—	131	1	no	—
244	C₄×C₈	—	131	1	no	—
245	C₂⁴	—	262	1	no	—
246	#41	—	262	2	no	—
247	#41	—	524	1	no	—
248	C₂×Q₈	—	131	1	no	—
249	C₂×Q₈	C₂²×D₁₃₁	1	1	yes	characteristic
250	C₂×D₄	—	2	1	no	—
251	C₂×D₄	—	262	2	no	—
252	C₂×D₄	—	262	1	no	—
253	C₂×D₄	—	262	1	no	—
254	C₂×D₄	—	524	1	no	—
255	C₂×D₄	—	131	1	no	—
256	C₂×D₄	—	131	1	no	—
257	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
258	C₂²×C₄	—	262	1	no	—
259	C₂²×C₄	—	262	1	no	—
260	C₂²×C₄	—	262	1	no	—
261	C₂²×C₄	—	131	1	no	—
262	C₂²×C₄	C₂²×D₁₃₁	1	1	yes	characteristic
263	Q₁₆	—	524	1	no	—
264	SD₁₆	—	4	1	no	—
265	SD₁₆	—	262	2	no	—
266	C₂×C₈	—	4	1	no	—
267	C₂×C₈	—	524	1	no	—
268	C₂×C₈	—	131	1	no	—
269	C₂×C₈	—	131	1	no	—
270	C₂×C₈	C₂²×D₁₃₁	1	1	yes	characteristic
271	C₂×C₈	C₂²×D₁₃₁	1	1	yes	characteristic
272	C₄⋊C₄	—	2	1	no	—
273	C₄⋊C₄	—	262	1	no	—
274	C₄⋊C₄	—	262	1	no	—
275	C₄⋊C₄	—	262	1	no	—
276	C₄⋊C₄	—	262	1	no	—
277	C₄⋊C₄	—	262	1	no	—
278	C₄⋊C₄	—	262	1	no	—
279	C₄⋊C₄	—	131	1	no	—
280	C₄⋊C₄	—	131	1	no	—
281	C₄⋊C₄	—	131	1	no	—
282	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
283	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
284	C₂²⋊C₄	—	2	1	no	—
285	C₂²⋊C₄	—	2	1	no	—
286	C₂²⋊C₄	—	262	1	no	—
287	C₂²⋊C₄	—	262	1	no	—
288	C₂²⋊C₄	—	262	1	no	—
289	C₂²⋊C₄	—	262	1	no	—
290	C₂²⋊C₄	—	262	1	no	—
291	C₂²⋊C₄	—	262	1	no	—
292	C₂²⋊C₄	—	131	1	no	—
293	C₂²⋊C₄	—	131	1	no	—
294	C₄²	—	262	1	no	—
295	C₄²	—	262	1	no	—
296	C₄²	—	131	1	no	—
297	C₂³	—	2	1	no	—
298	C₂³	—	262	1	no	—
299	C₂³	—	524	2	no	—
300	C₂³	—	524	2	no	—
301	C₂³	—	1048	1	no	—
302	C₂³	—	131	1	no	—
303	C₂³	D₄×D₁₃₁	1	1	yes	characteristic
304	Q₈	—	2	1	no	—
305	Q₈	—	2	1	no	—
306	Q₈	—	262	1	no	—
307	Q₈	—	262	1	no	—
308	D₄	—	2	1	no	—
309	D₄	—	2	1	no	—
310	D₄	—	262	2	no	—
311	D₄	—	262	1	no	—
312	D₄	—	8	1	no	—
313	D₄	—	524	2	no	—
314	D₄	—	524	2	no	—
315	D₄	—	131	2	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	262	1	no	—
322	C₂×C₄	—	262	1	no	—
323	C₂×C₄	—	262	1	no	—
324	C₂×C₄	—	262	1	no	—
325	C₂×C₄	—	262	1	no	—
326	C₂×C₄	—	524	2	no	—
327	C₂×C₄	—	524	2	no	—
328	C₂×C₄	—	1048	1	no	—
329	C₂×C₄	—	131	1	no	—
330	C₂×C₄	—	131	1	no	—
331	C₂×C₄	—	131	1	no	—
332	C₂×C₄	D₄×D₁₃₁	1	1	yes	characteristic
333	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
334	C₈	—	2	1	no	—
335	C₈	—	2	1	no	—
336	C₈	—	262	1	no	—
337	C₈	—	262	1	no	—
338	C₂²	—	2	1	no	—
339	C₂²	—	2	1	no	—
340	C₂²	—	2	1	no	—
341	C₂²	—	4	1	no	—
342	C₂²	—	4	1	no	—
343	C₂²	—	4	1	no	—
344	C₂²	—	262	1	no	—
345	C₂²	—	262	1	no	—
346	C₂²	—	262	2	no	—
347	C₂²	—	524	1	no	—
348	C₂²	—	524	1	no	—
349	C₂²	—	1048	4	no	—
350	C₂²	—	131	2	no	—
351	C₂²	C₂×D₄×D₁₃₁	1	1	yes	characteristic
352	C₄	—	2	1	no	—
353	C₄	—	4	1	no	—
354	C₄	—	4	1	no	—
355	C₄	—	4	1	no	—
356	C₄	—	262	1	no	—
357	C₄	—	262	1	no	—
358	C₄	—	262	1	no	—
359	C₄	—	524	1	no	—
360	C₄	—	524	1	no	—
361	C₄	—	524	1	no	—
362	C₄	#41×D₁₃₁	1	1	yes	characteristic
363	C₄	#16862291	1	1	yes	characteristic
364	C₂	—	4	1	no	—
365	C₂	—	262	2	no	—
366	C₂	—	8	1	no	—
367	C₂	—	524	2	no	—
368	C₂	#22553951	1	1	yes	characteristic
369	C₂	#135×D₁₃₁	1	1	yes	characteristic
370	C₂	#22554118	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₃₁
commutator, cosocle	C₂×C₄×C₁₃₁	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₃₁
Fitting	#465×C₁₃₁	C₂
socle	C₂²×C₁₃₁	C₂²×D₄
prime radical	#22553959	C₂
hypercenter	#465	D₁₃₁
hypocenter	C₁₃₁	#3296
LCS	G ▷ C₂×C₄×C₁₃₁ ▷ C₂×C₁₃₁ ▷ C₁₃₁
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #465

Complements

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

N	H ≅ G/N	type
1. #22553996	C₂	semidirect
3. #22553665	C₂	semidirect
4. #22553644	C₂	semidirect
5. #22553633	C₂	semidirect
6. #22553611	C₂	semidirect
7. #22553552	C₂	semidirect
8. #22553532	C₂	semidirect
9. #22553472	C₂	semidirect
10. #22553461	C₂	semidirect
11. #22553397	C₂	semidirect
12. C₈×C₂²⋊D₁₃₁	C₂	semidirect
13. #22553309	C₂	semidirect
14. #102×D₁₃₁	C₂	semidirect
15. #465×C₁₃₁	C₂	semidirect
18. C₂×#14523503	C₂²	semidirect
22. #16862237	C₂²	semidirect
31. Q₈×Dic₁₃₁	C₂²	semidirect
34. #16862205	C₂²	semidirect
38. #16862179	C₂²	semidirect
39. #16862177	C₂²	semidirect
40. Dic₁₃₁⋊C₈	C₂²	semidirect
41. #16862171	C₂²	semidirect
42. #16862171	C₂²	semidirect
43. #16862169	C₂²	semidirect
49. C₂²⋊(C₁₃₁⋊C₈)	C₂²	semidirect
51. C₈×Dic₁₃₁	C₂²	semidirect
53. C₂²×C₈×C₁₃₁	C₂²	semidirect
54. C₂²⋊Q₈×C₁₃₁	C₂²	semidirect
56. #106×C₁₃₁	C₂²	semidirect
57. #103×C₁₃₁	C₂²	semidirect
185. C₁₃₁	#3296	semidirect
194. #465	D₁₃₁	semidirect
208. C₂²×C₈	C₂×D₁₃₁	semidirect
217. C₂²⋊Q₈	C₂×D₁₃₁	semidirect
230. #106	C₂×D₁₃₁	semidirect
235. #103	C₂×D₁₃₁	semidirect

Maximal subgroups

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

subgroup	index
#22553996	2
#22553959	2
#22553665	2
#22553644	2
#22553633	2
#22553611	2
#22553552	2
#22553532	2
#22553472	2
#22553461	2
#22553397	2
C₈×C₂²⋊D₁₃₁	2
#22553309	2
#102×D₁₃₁	2
#465×C₁₃₁	2
#3296	131