Subgroups — C₄×#22548736 #44559134

Order 32128.

500 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#22548736	C₂	1	1	yes	maximal, characteristic
2	C₄×#16860811	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#16860809	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×#16860800	C₂	1	1	yes	maximal, characteristic, complemented
5	#30631779	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄×#16860799	C₂	1	1	yes	maximal, characteristic, complemented
7	SD₁₆×Dic₂₅₁	C₂	1	1	yes	maximal, characteristic, complemented
8	#30631774	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×#16860795	C₂	1	1	yes	maximal, characteristic, complemented
10	#30631767	C₂	1	1	yes	maximal, characteristic, complemented
11	#30631722	C₂	1	1	yes	maximal, characteristic, complemented
12	#30631682	C₂	1	1	yes	maximal, characteristic, complemented
13	#30631680	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₈×D₂₅₁	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×SD₁₆×C₂₅₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16860811	C₂²	1	1	yes	characteristic
17	C₂×#16860809	C₂²	1	1	yes	characteristic
18	#22548736	C₄	1	8	yes	direct product factor
19	C₂×#16860800	C₂²	1	1	yes	characteristic
20	C₂×#16860799	C₂²	1	1	yes	characteristic
21	C₂×#16860795	C₂²	1	1	yes	characteristic
22	C₂×C₈×D₂₅₁	C₂²	1	1	yes	characteristic
23	C₂×C₈×D₂₅₁	C₂²	1	1	yes	characteristic
24	Q₈×Dic₂₅₁	C₂²	1	1	yes	characteristic
25	C₄×Dic₅₀₂	C₂²	1	1	yes	characteristic
26	#22548680	C₂²	1	1	yes	characteristic
27	C₄×D₁₀₀₄	—	2	1	no	—
28	C₄×D₁₀₀₄	C₂²	1	1	yes	characteristic
29	D₄×Dic₂₅₁	C₂²	1	1	yes	characteristic
30	#22548677	—	2	1	no	—
31	#22548677	C₂²	1	1	yes	characteristic
32	C₄×C₂²⋊D₂₅₁	—	2	1	no	—
33	(C₂²⋊D₂₅₁)⋊C₄	—	2	1	no	—
34	#22548673	—	2	1	no	—
35	#22548673	C₂²	1	1	yes	characteristic
36	#22548673	C₂²	1	1	yes	characteristic
37	#22548671	—	2	1	no	—
38	C₂×C₄×Dic₂₅₁	—	2	1	no	—
39	C₄²×D₂₅₁	—	2	1	no	—
40	C₄²×D₂₅₁	C₂²	1	1	yes	characteristic
41	#22548648	C₂²	1	1	yes	characteristic
42	#22548648	C₂²	1	1	yes	characteristic
43	#22548647	C₂²	1	1	yes	characteristic
44	#22548640	C₂²	1	1	yes	characteristic
45	#22548639	C₂²	1	1	yes	characteristic
46	#22548638	C₂²	1	1	yes	characteristic
47	#22548637	C₂²	1	1	yes	characteristic
48	#22548636	C₂²	1	1	yes	characteristic
49	#22548635	C₂²	1	1	yes	characteristic
50	C₄×C₂₅₁⋊C₈	C₂²	1	1	yes	characteristic
51	C₈×Dic₂₅₁	C₂²	1	1	yes	characteristic
52	C₈×Dic₂₅₁	C₂²	1	1	yes	characteristic
53	C₂×SD₁₆×C₂₅₁	C₂²	1	1	yes	characteristic
54	C₄×Q₈×C₂₅₁	C₂²	1	1	yes	characteristic
55	C₄×D₄×C₂₅₁	C₂²	1	1	yes	characteristic
56	#106×C₂₅₁	C₂²	1	1	yes	characteristic
57	#103×C₂₅₁	C₂²	1	1	yes	characteristic
58	#102×C₂₅₁	C₂²	1	1	yes	characteristic
59	C₄×C₈×C₂₅₁	C₂²	1	1	yes	characteristic
60	#16860811	—	2	2	no	—
61	#16860811	C₂×C₄	1	4	yes	complemented
62	#16860809	—	2	2	no	—
63	#16860809	C₂×C₄	1	4	yes	complemented
64	C₂×Dic₅₀₂	C₂³	1	1	yes	characteristic
65	C₂×D₁₀₀₄	—	2	1	no	—
66	C₂×D₁₀₀₄	C₂³	1	1	yes	characteristic
67	C₂×C₂²⋊D₂₅₁	—	2	1	no	—
68	C₂²×Dic₂₅₁	—	2	1	no	—
69	C₂²×Dic₂₅₁	—	2	1	no	—
70	C₂×C₄×D₂₅₁	—	2	1	no	—
71	C₂×C₄×D₂₅₁	—	2	1	no	—
72	C₂×C₄×D₂₅₁	—	2	1	no	—
73	C₂×C₄×D₂₅₁	D₄	1	1	yes	characteristic
74	C₂×C₄×D₂₅₁	D₄	1	1	yes	characteristic
75	C₂×C₄×D₂₅₁	C₂³	1	1	yes	characteristic
76	#16860800	C₂×C₄	1	4	yes	complemented
77	#16860799	C₂×C₄	1	4	yes	complemented
78	#16860795	C₂×C₄	1	4	yes	complemented
79	C₂×C₂₅₁⋊C₈	C₂³	1	1	yes	characteristic
80	C₂×C₂₅₁⋊C₈	C₂³	1	1	yes	characteristic
81	C₈×D₂₅₁	—	2	2	no	—
82	C₈×D₂₅₁	C₂×C₄	1	4	yes	complemented
83	C₄⋊Dic₂₅₁	—	2	1	no	—
84	C₄⋊Dic₂₅₁	C₂³	1	1	yes	characteristic
85	C₄⋊Dic₂₅₁	C₂³	1	1	yes	characteristic
86	Dic₂₅₁⋊C₄	—	2	1	no	—
87	Dic₂₅₁⋊C₄	—	2	1	no	—
88	C₂²⋊Dic₂₅₁	—	2	1	no	—
89	(C₂×D₂₅₁)⋊C₄	—	2	1	no	—
90	(C₂×D₂₅₁)⋊C₄	—	2	1	no	—
91	(C₂×D₂₅₁)⋊C₄	—	2	1	no	—
92	(C₂×D₂₅₁)⋊C₄	—	2	1	no	—
93	C₄×Dic₂₅₁	—	2	1	no	—
94	C₄×Dic₂₅₁	—	2	1	no	—
95	C₄×Dic₂₅₁	—	2	1	no	—
96	C₄×Dic₂₅₁	—	2	1	no	—
97	C₄×Dic₂₅₁	—	2	1	no	—
98	C₄×Dic₂₅₁	D₄	1	1	yes	characteristic
99	C₄×Dic₂₅₁	D₄	1	1	yes	characteristic
100	C₄×Dic₂₅₁	C₂³	1	1	yes	characteristic
101	C₂×Q₈×C₂₅₁	C₂³	1	1	yes	characteristic
102	C₂×D₄×C₂₅₁	C₂³	1	1	yes	characteristic
103	C₂²×C₄×C₂₅₁	—	2	1	no	—
104	SD₁₆×C₂₅₁	C₂×C₄	1	4	yes	complemented
105	C₂×C₈×C₂₅₁	C₂³	1	1	yes	characteristic
106	C₂×C₈×C₂₅₁	C₂³	1	1	yes	characteristic
107	C₄⋊C₄×C₂₅₁	—	2	1	no	—
108	C₄⋊C₄×C₂₅₁	C₂³	1	1	yes	characteristic
109	C₄⋊C₄×C₂₅₁	C₂³	1	1	yes	characteristic
110	C₂²⋊C₄×C₂₅₁	—	2	1	no	—
111	C₄²×C₂₅₁	—	2	1	no	—
112	C₄²×C₂₅₁	C₂³	1	1	yes	characteristic
113	C₂²×D₂₅₁	—	2	1	no	—
114	C₂²×D₂₅₁	C₂×D₄	1	1	yes	characteristic
115	Dic₅₀₂	—	2	1	no	—
116	Dic₅₀₂	C₂²×C₄	1	2	yes	—
117	D₁₀₀₄	—	2	4	no	—
118	D₁₀₀₄	—	2	1	no	—
119	D₁₀₀₄	C₂²×C₄	1	2	yes	—
120	C₂²⋊D₂₅₁	—	2	4	no	—
121	C₂×Dic₂₅₁	—	2	1	no	—
122	C₂×Dic₂₅₁	—	2	4	no	—
123	C₂×Dic₂₅₁	—	2	1	no	—
124	C₂×Dic₂₅₁	—	2	1	no	—
125	C₂×Dic₂₅₁	—	4	2	no	—
126	C₂×Dic₂₅₁	C₂×D₄	1	1	yes	characteristic
127	C₂×Dic₂₅₁	C₂×D₄	1	1	yes	characteristic
128	C₂×Dic₂₅₁	C₂×D₄	1	1	yes	characteristic
129	C₄×D₂₅₁	—	2	2	no	—
130	C₄×D₂₅₁	—	2	4	no	—
131	C₄×D₂₅₁	—	2	2	no	—
132	C₄×D₂₅₁	—	4	2	no	—
133	C₄×D₂₅₁	—	4	2	no	—
134	C₄×D₂₅₁	C₂²×C₄	1	2	yes	—
135	C₄×D₂₅₁	#41	1	2	yes	—
136	C₂₅₁⋊C₈	—	2	1	no	—
137	C₂₅₁⋊C₈	C₂²×C₄	1	2	yes	—
138	C₂³×C₂₅₁	—	2	1	no	—
139	Q₈×C₂₅₁	—	2	1	no	—
140	Q₈×C₂₅₁	C₂²×C₄	1	2	yes	—
141	D₄×C₂₅₁	—	2	1	no	—
142	D₄×C₂₅₁	C₂²×C₄	1	2	yes	—
143	C₂×C₄×C₂₅₁	—	2	1	no	—
144	C₂×C₄×C₂₅₁	—	2	1	no	—
145	C₂×C₄×C₂₅₁	—	2	1	no	—
146	C₂×C₄×C₂₅₁	—	4	2	no	—
147	C₂×C₄×C₂₅₁	C₂×D₄	1	1	yes	characteristic
148	C₂×C₄×C₂₅₁	C₂×D₄	1	1	yes	characteristic
149	C₂×C₄×C₂₅₁	C₂⁴	1	1	yes	characteristic
150	C₈×C₂₅₁	—	2	1	no	—
151	C₈×C₂₅₁	C₂²×C₄	1	2	yes	—
152	C₂²×C₂₅₁	—	2	2	no	—
153	C₂²×C₂₅₁	—	4	1	no	—
154	C₂²×C₂₅₁	—	4	1	no	—
155	C₂²×C₂₅₁	C₂²×D₄	1	1	yes	characteristic
156	C₂×D₂₅₁	—	2	1	no	—
157	C₂×D₂₅₁	—	2	1	no	—
158	C₂×D₂₅₁	—	2	2	no	—
159	C₂×D₂₅₁	—	4	1	no	—
160	C₂×D₂₅₁	—	4	1	no	—
161	C₂×D₂₅₁	C₄×D₄	1	2	yes	—
162	C₄×C₂₅₁	—	2	2	no	—
163	C₄×C₂₅₁	—	2	1	no	—
164	C₄×C₂₅₁	—	4	1	no	—
165	C₄×C₂₅₁	—	4	1	no	—
166	C₄×C₂₅₁	#135	1	2	yes	complemented
167	C₄×C₂₅₁	C₂³×C₄	1	1	yes	characteristic
168	C₄×C₂₅₁	C₂×#41	1	1	yes	characteristic
169	Dic₂₅₁	—	2	2	no	—
170	Dic₂₅₁	—	2	1	no	—
171	Dic₂₅₁	—	4	1	no	—
172	Dic₂₅₁	—	4	1	no	—
173	Dic₂₅₁	C₄×D₄	1	2	yes	—
174	Dic₂₅₁	#135	1	2	yes	complemented
175	C₂×C₂₅₁	—	4	2	no	—
176	C₂×C₂₅₁	C₂×C₄×D₄	1	1	yes	characteristic
177	C₂×C₂₅₁	C₂×#135	1	1	yes	characteristic
178	C₂×C₂₅₁	C₂×#135	1	1	yes	characteristic
179	D₂₅₁	—	2	2	no	—
180	D₂₅₁	—	4	2	no	—
181	C₂₅₁	C₄×#135	1	1	yes	characteristic, complemented, Sylow
182	C₄×#135	—	251	1	no	maximal, Sylow
183	C₂×#135	—	251	1	no	—
184	C₄×#41	—	251	1	no	—
185	C₄×#41	—	251	1	no	—
186	C₄×Q₁₆	—	251	1	no	—
187	C₄×Q₁₆	—	251	1	no	—
188	C₄×SD₁₆	—	251	1	no	—
189	C₄×SD₁₆	—	251	1	no	—
190	C₄×SD₁₆	—	251	1	no	—
191	C₄×SD₁₆	D₂₅₁	1	1	yes	characteristic, complemented
192	C₄×D₈	—	251	1	no	—
193	C₄×D₈	—	251	1	no	—
194	#427	—	251	1	no	—
195	#416	—	251	1	no	—
196	#416	—	251	1	no	—
197	C₂×C₄×C₈	—	251	1	no	—
198	C₂×#41	—	251	1	no	—
199	C₂×#41	—	251	1	no	—
200	#135	—	251	8	no	—
201	C₂×Q₁₆	—	251	1	no	—
202	C₂×SD₁₆	—	251	1	no	—
203	C₂×SD₁₆	C₂×D₂₅₁	1	1	yes	characteristic
204	C₂×D₈	—	251	1	no	—
205	C₂²×C₈	—	251	1	no	—
206	C₂²×C₈	—	251	1	no	—
207	C₄×Q₈	—	251	1	no	—
208	C₄×Q₈	—	251	1	no	—
209	C₄×Q₈	—	251	1	no	—
210	C₄×Q₈	C₂×D₂₅₁	1	1	yes	characteristic
211	C₄×D₄	—	502	1	no	—
212	C₄×D₄	—	502	1	no	—
213	C₄×D₄	—	502	1	no	—
214	C₄×D₄	—	502	1	no	—
215	C₄×D₄	—	251	1	no	—
216	C₄×D₄	—	251	1	no	—
217	C₄×D₄	—	251	1	no	—
218	C₄×D₄	C₂×D₂₅₁	1	1	yes	characteristic
219	#117	—	502	1	no	—
220	#117	—	502	1	no	—
221	#117	—	251	1	no	—
222	#117	—	251	1	no	—
223	C₂×C₄²	—	502	1	no	—
224	C₂×C₄²	—	502	1	no	—
225	C₂×C₄²	—	251	1	no	—
226	#107	—	251	1	no	—
227	#107	—	251	1	no	—
228	#106	—	251	1	no	—
229	#106	C₂×D₂₅₁	1	1	yes	characteristic
230	#103	—	251	1	no	—
231	#103	—	251	1	no	—
232	#103	—	251	1	no	—
233	#103	C₂×D₂₅₁	1	1	yes	characteristic
234	#102	—	251	1	no	—
235	#102	—	251	1	no	—
236	#102	—	251	1	no	—
237	#102	C₂×D₂₅₁	1	1	yes	characteristic
238	C₄×C₈	—	251	1	no	—
239	C₄×C₈	—	251	1	no	—
240	C₄×C₈	—	251	1	no	—
241	C₄×C₈	C₂×D₂₅₁	1	1	yes	characteristic
242	#41	—	502	2	no	—
243	#41	—	502	2	no	—
244	#41	—	251	4	no	—
245	#41	—	251	4	no	—
246	C₂×Q₈	—	251	1	no	—
247	C₂×Q₈	C₂²×D₂₅₁	1	1	yes	characteristic
248	C₂×D₄	—	502	1	no	—
249	C₂×D₄	—	502	1	no	—
250	C₂×D₄	—	251	1	no	—
251	C₂×D₄	C₂²×D₂₅₁	1	1	yes	characteristic
252	C₂²×C₄	—	2	1	no	—
253	C₂²×C₄	—	502	1	no	—
254	C₂²×C₄	—	502	1	no	—
255	C₂²×C₄	—	502	1	no	—
256	C₂²×C₄	—	502	1	no	—
257	C₂²×C₄	—	502	1	no	—
258	C₂²×C₄	—	251	1	no	—
259	C₂²×C₄	—	251	1	no	—
260	C₂²×C₄	—	251	1	no	—
261	Q₁₆	—	251	4	no	—
262	SD₁₆	—	251	4	no	—
263	SD₁₆	C₄×D₂₅₁	1	4	yes	complemented
264	D₈	—	251	4	no	—
265	C₂×C₈	—	502	2	no	—
266	C₂×C₈	—	251	1	no	—
267	C₂×C₈	—	251	1	no	—
268	C₂×C₈	—	251	4	no	—
269	C₂×C₈	C₂²×D₂₅₁	1	1	yes	characteristic
270	C₂×C₈	C₂²×D₂₅₁	1	1	yes	characteristic
271	C₄⋊C₄	—	2	1	no	—
272	C₄⋊C₄	—	502	1	no	—
273	C₄⋊C₄	—	502	1	no	—
274	C₄⋊C₄	—	502	1	no	—
275	C₄⋊C₄	—	251	1	no	—
276	C₄⋊C₄	—	251	1	no	—
277	C₄⋊C₄	C₂²×D₂₅₁	1	1	yes	characteristic
278	C₄⋊C₄	C₂²×D₂₅₁	1	1	yes	characteristic
279	C₂²⋊C₄	—	2	1	no	—
280	C₂²⋊C₄	—	502	1	no	—
281	C₂²⋊C₄	—	502	1	no	—
282	C₂²⋊C₄	—	502	1	no	—
283	C₂²⋊C₄	—	502	1	no	—
284	C₂²⋊C₄	—	502	1	no	—
285	C₄²	—	2	1	no	—
286	C₄²	—	502	1	no	—
287	C₄²	—	502	1	no	—
288	C₄²	—	502	1	no	—
289	C₄²	—	502	1	no	—
290	C₄²	—	502	1	no	—
291	C₄²	—	251	1	no	—
292	C₄²	—	251	1	no	—
293	C₄²	—	251	1	no	—
294	C₄²	C₂²×D₂₅₁	1	1	yes	characteristic
295	C₂³	—	2	1	no	—
296	C₂³	—	502	1	no	—
297	C₂³	—	251	1	no	—
298	Q₈	—	2	1	no	—
299	Q₈	—	502	1	no	—
300	Q₈	—	251	2	no	—
301	Q₈	C₂×C₄×D₂₅₁	1	2	yes	—
302	D₄	—	2	1	no	—
303	D₄	—	502	4	no	—
304	D₄	—	502	4	no	—
305	D₄	—	502	1	no	—
306	D₄	—	251	2	no	—
307	D₄	C₂×C₄×D₂₅₁	1	2	yes	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	4	2	no	—
312	C₂×C₄	—	1004	2	no	—
313	C₂×C₄	—	1004	2	no	—
314	C₂×C₄	—	1004	2	no	—
315	C₂×C₄	—	502	4	no	—
316	C₂×C₄	—	502	2	no	—
317	C₂×C₄	—	502	1	no	—
318	C₂×C₄	—	502	1	no	—
319	C₂×C₄	—	502	1	no	—
320	C₂×C₄	—	502	4	no	—
321	C₂×C₄	—	502	2	no	—
322	C₂×C₄	—	251	1	no	—
323	C₂×C₄	—	251	1	no	—
324	C₂×C₄	—	251	1	no	—
325	C₂×C₄	—	251	2	no	—
326	C₂×C₄	—	251	2	no	—
327	C₂×C₄	D₄×D₂₅₁	1	1	yes	characteristic
328	C₂×C₄	D₄×D₂₅₁	1	1	yes	characteristic
329	C₂×C₄	C₂³×D₂₅₁	1	1	yes	characteristic
330	C₈	—	2	1	no	—
331	C₈	—	502	1	no	—
332	C₈	—	251	2	no	—
333	C₈	C₂×C₄×D₂₅₁	1	2	yes	—
334	C₂²	—	2	2	no	—
335	C₂²	—	4	1	no	—
336	C₂²	—	4	1	no	—
337	C₂²	—	1004	1	no	—
338	C₂²	—	1004	1	no	—
339	C₂²	—	502	2	no	—
340	C₂²	—	502	1	no	—
341	C₂²	—	502	1	no	—
342	C₂²	—	251	2	no	—
343	C₂²	C₂×D₄×D₂₅₁	1	1	yes	characteristic
344	C₄	—	2	1	no	—
345	C₄	—	2	2	no	—
346	C₄	—	4	1	no	—
347	C₄	—	4	1	no	—
348	C₄	—	1004	1	no	—
349	C₄	—	1004	1	no	—
350	C₄	—	502	1	no	—
351	C₄	—	502	2	no	—
352	C₄	—	251	2	no	—
353	C₄	—	251	2	no	—
354	C₄	#22548736	1	2	yes	direct product factor
355	C₄	C₂²×C₄×D₂₅₁	1	1	yes	characteristic
356	C₄	#41×D₂₅₁	1	1	yes	characteristic
357	C₂	—	4	2	no	—
358	C₂	—	1004	2	no	—
359	C₂	—	502	2	no	—
360	C₂	C₄×D₄×D₂₅₁	1	1	yes	characteristic
361	C₂	#135×D₂₅₁	1	1	yes	characteristic
362	C₂	C₂×#22548736	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₄×D₂₅₁
commutator	C₄×C₂₅₁	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₂₅₁
Fitting	C₄×SD₁₆×C₂₅₁	C₂
socle	C₂²×C₂₅₁	C₂²×D₄
prime radical	C₂×#22548736	C₂
cosocle	C₂×C₄×C₂₅₁	C₂⁴
hypercenter	C₄×SD₁₆	D₂₅₁
hypocenter	C₂₅₁	C₄×#135
LCS	G ▷ C₄×C₂₅₁ ▷ C₂×C₂₅₁ ▷ C₂₅₁
UCS	C₁ ◁ C₂×C₄ ◁ C₄² ◁ C₄×SD₁₆

Complements

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

N	H ≅ G/N	type
2. C₄×#16860811	C₂	semidirect
3. C₄×#16860809	C₂	semidirect
4. C₄×#16860800	C₂	semidirect
5. #30631779	C₂	semidirect
6. C₄×#16860799	C₂	semidirect
7. SD₁₆×Dic₂₅₁	C₂	semidirect
8. #30631774	C₂	semidirect
9. C₄×#16860795	C₂	semidirect
10. #30631767	C₂	semidirect
11. #30631722	C₂	semidirect
12. #30631682	C₂	semidirect
13. #30631680	C₂	semidirect
14. C₄×C₈×D₂₅₁	C₂	semidirect
15. C₄×SD₁₆×C₂₅₁	C₂	semidirect
18. #22548736	C₄	direct (N × H)
61. #16860811	C₂×C₄	semidirect
63. #16860809	C₂×C₄	semidirect
76. #16860800	C₂×C₄	semidirect
77. #16860799	C₂×C₄	semidirect
78. #16860795	C₂×C₄	semidirect
82. C₈×D₂₅₁	C₂×C₄	semidirect
104. SD₁₆×C₂₅₁	C₂×C₄	semidirect
166. C₄×C₂₅₁	#135	semidirect
174. Dic₂₅₁	#135	semidirect
181. C₂₅₁	C₄×#135	semidirect
191. C₄×SD₁₆	D₂₅₁	semidirect
263. SD₁₆	C₄×D₂₅₁	semidirect
354. C₄	#22548736	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#22548736	2
C₄×#16860811	2
C₄×#16860809	2
C₄×#16860800	2
#30631779	2
C₄×#16860799	2
SD₁₆×Dic₂₅₁	2
#30631774	2
C₄×#16860795	2
#30631767	2
#30631722	2
#30631682	2
#30631680	2
C₄×C₈×D₂₅₁	2
C₄×SD₁₆×C₂₅₁	2
C₄×#135	251

Subgroups — C4×#22548736 #44559134

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#22548736 #44559134