Subgroups — C₄×Q₁₆×#261 #16797405

Order 3328.

1110 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Q₁₆×#261	C₂	1	2	yes	maximal
2	C₄×Q₈×#261	C₂	1	2	yes	maximal
3	#107×#261	C₂	1	2	yes	maximal
4	C₄×#88102	C₂	1	1	yes	maximal, characteristic
5	#103×#261	C₂	1	4	yes	maximal
6	C₄×#88117	C₂	1	2	yes	maximal
7	C₄×C₈×#261	C₂	1	1	yes	maximal, characteristic
8	C₄×Q₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic
9	C₂×Q₈×#261	C₂²	1	4	yes	—
10	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
11	C₄×Q₈×D₁₃	C₂²	1	2	yes	—
12	C₂×#88117	C₂²	1	4	yes	—
13	Q₁₆×#261	C₄	1	16	yes	direct product factor
14	C₂×#88102	C₂²	1	2	yes	—
15	C₂×C₈×#261	C₂²	1	2	yes	—
16	C₂×C₈×#261	C₂²	1	2	yes	—
17	C₄⋊C₄×#261	—	2	4	no	—
18	C₄⋊C₄×#261	C₂²	1	4	yes	—
19	C₄×C₄⋊#261	—	2	2	no	—
20	C₄×C₄⋊#261	C₂²	1	2	yes	—
21	C₄²×#261	—	2	2	no	—
22	C₄²×#261	C₂²	1	1	yes	characteristic
23	C₄×D₁₃⋊C₈	C₂²	1	1	yes	characteristic
24	C₄×C₁₃×Q₁₆	C₄	1	1	yes	characteristic, complemented
25	Q₁₆×Dic₁₃	C₄	1	1	yes	characteristic, complemented
26	C₄×#6107	C₄	1	2	yes	complemented
27	D₁₃×#107	C₂²	1	1	yes	characteristic
28	#11718534	C₄	1	1	yes	characteristic, complemented
29	D₁₃×#103	C₂²	1	2	yes	—
30	#11718451	C₄	1	2	yes	complemented
31	C₄×Dic₅₂	C₄	1	1	yes	characteristic, complemented
32	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
33	#11718265	C₂²	1	2	yes	—
34	#11718246	C₂²	1	4	yes	—
35	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
36	Q₈×#261	—	2	8	no	—
37	Q₈×#261	C₂×C₄	1	16	yes	—
38	C₂×C₄⋊#261	—	2	4	no	—
39	C₂×C₄⋊#261	C₂³	1	4	yes	—
40	C₂×C₄×#261	—	2	4	no	—
41	C₂×C₄×#261	—	2	4	no	—
42	C₂×C₄×#261	—	2	2	no	—
43	C₂×C₄×#261	D₄	1	1	yes	characteristic
44	C₂×C₄×#261	D₄	1	2	yes	—
45	C₂×C₄×#261	D₄	1	1	yes	characteristic
46	C₂×C₄×#261	C₂³	1	2	yes	—
47	C₂×D₁₃⋊C₈	C₂³	1	2	yes	—
48	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic
49	C₄×Q₈×C₁₃	C₂×C₄	1	2	yes	—
50	Q₈×Dic₁₃	C₂×C₄	1	2	yes	—
51	C₂×#6107	C₂×C₄	1	2	yes	—
52	Q₁₆×D₁₃	C₂×C₄	1	8	yes	—
53	C₂×Dic₅₂	C₂×C₄	1	1	yes	characteristic
54	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
55	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
56	C₄⋊C₄×D₁₃	—	2	2	no	—
57	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
58	#88141	—	2	2	no	—
59	#88141	C₂×C₄	1	2	yes	—
60	C₄²×D₁₃	—	2	2	no	—
61	C₄²×D₁₃	C₂³	1	1	yes	characteristic
62	C₄×Dic₂₆	—	2	2	no	—
63	C₄×Dic₂₆	C₂×C₄	1	2	yes	—
64	#88117	C₂×C₄	1	16	yes	—
65	(C₂×#261)⋊C₄	—	2	4	no	—
66	(C₂×#261)⋊C₄	—	2	2	no	—
67	C₄×#1057	—	2	1	no	—
68	C₄×#1057	—	2	1	no	—
69	#88102	C₂×C₄	1	8	yes	—
70	C₈×#261	—	2	4	no	—
71	C₈×#261	C₂×C₄	1	8	yes	—
72	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
73	C₁₃×#103	C₂×C₄	1	2	yes	—
74	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
75	#88075	C₂×C₄	1	2	yes	—
76	#88058	C₂×C₄	1	1	yes	characteristic
77	#88056	C₂×C₄	1	2	yes	—
78	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
79	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
80	#88050	C₂×C₄	1	2	yes	—
81	#88047	C₂×C₄	1	2	yes	—
82	C₄×#1055	C₂×C₄	1	1	yes	characteristic
83	C₄²×Q₁₆	—	13	1	no	maximal, Sylow
84	C₂²×#261	—	2	4	no	—
85	C₂²×#261	C₂×D₄	1	2	yes	—
86	C₂²×#261	C₂×D₄	1	2	yes	—
87	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
88	Q₈×D₁₃	—	2	4	no	—
89	Q₈×D₁₃	C₂²×C₄	1	8	yes	—
90	C₂×C₄×D₁₃	—	2	2	no	—
91	C₂×C₄×D₁₃	—	2	2	no	—
92	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
93	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
94	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
95	C₂×Dic₂₆	—	2	2	no	—
96	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
97	C₂×#1057	—	2	2	no	—
98	C₄⋊#261	—	2	16	no	—
99	C₄⋊#261	—	2	4	no	—
100	C₄⋊#261	C₂²×C₄	1	8	yes	—
101	C₄×#261	—	2	16	no	—
102	C₄×#261	—	2	4	no	—
103	C₄×#261	—	2	2	no	—
104	C₄×#261	—	4	8	no	—
105	C₄×#261	—	4	4	no	—
106	C₄×#261	Q₁₆	1	4	yes	direct product factor
107	C₄×#261	C₂²×C₄	1	4	yes	—
108	C₄×#261	#41	1	4	yes	—
109	D₁₃⋊C₈	—	2	2	no	—
110	D₁₃⋊C₈	C₂²×C₄	1	4	yes	—
111	C₁₃×Q₁₆	C₄²	1	4	yes	complemented
112	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
114	C₁₃×C₄⋊C₄	—	2	2	no	—
115	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
116	C₄²×C₁₃	—	2	2	no	—
117	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
118	#6107	C₄²	1	8	yes	complemented
119	C₄⋊Dic₁₃	—	2	2	no	—
120	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
121	#6101	—	2	2	no	—
122	#6101	—	2	2	no	—
123	#6101	—	2	2	no	—
124	C₄×Dic₁₃	—	2	2	no	—
125	C₄×Dic₁₃	—	2	2	no	—
126	C₄×Dic₁₃	—	2	2	no	—
127	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
128	C₄×Dic₁₃	#41	1	1	yes	characteristic
129	C₄×Dic₁₃	#41	1	1	yes	characteristic
130	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
131	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
132	Dic₅₂	C₄²	1	4	yes	complemented
133	C₈×D₁₃	—	2	2	no	—
134	C₈×D₁₃	C₂²×C₄	1	4	yes	—
135	C₂×C₄×Q₁₆	—	13	2	no	—
136	C₂×C₄×Q₁₆	—	13	1	no	—
137	C₄²×Q₈	—	13	2	no	—
138	C₄×#107	—	13	1	no	—
139	C₄×#107	—	13	2	no	—
140	C₄×#103	—	13	2	no	—
141	C₄×#103	—	13	4	no	—
142	C₄²×C₈	—	13	1	no	—
143	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
144	C₂×#261	—	2	2	no	—
145	C₂×#261	—	2	2	no	—
146	C₂×#261	—	2	8	no	—
147	C₂×#261	—	4	4	no	—
148	C₂×#261	—	4	4	no	—
149	C₂×#261	C₄×D₄	1	4	yes	—
150	C₂×#261	C₄×D₄	1	4	yes	—
151	C₂×#261	C₂×Q₁₆	1	4	yes	—
152	C₂×#261	#135	1	4	yes	—
153	Q₈×C₁₃	—	2	2	no	—
154	Q₈×C₁₃	C₂×C₄²	1	4	yes	—
155	C₂×C₄×C₁₃	—	2	2	no	—
156	C₂×C₄×C₁₃	—	2	2	no	—
157	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
158	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
159	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
160	C₂×Dic₁₃	—	2	2	no	—
161	C₂×Dic₁₃	—	2	2	no	—
162	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
163	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
164	C₂×Dic₁₃	C₂×#41	1	1	yes	characteristic
165	C₄×D₁₃	—	2	8	no	—
166	C₄×D₁₃	—	2	2	no	—
167	C₄×D₁₃	—	4	4	no	—
168	C₄×D₁₃	C₂×Q₁₆	1	2	yes	—
169	C₄×D₁₃	#135	1	2	yes	—
170	C₄×D₁₃	C₂³×C₄	1	2	yes	—
171	C₄×D₁₃	C₂×#41	1	2	yes	—
172	Dic₂₆	—	2	2	no	—
173	Dic₂₆	—	2	8	no	—
174	Dic₂₆	C₂×C₄²	1	4	yes	—
175	#1057	—	2	4	no	—
176	C₈×C₁₃	—	2	1	no	—
177	C₈×C₁₃	C₂×C₄²	1	2	yes	—
178	#1055	—	2	1	no	—
179	#1055	C₂×C₄²	1	2	yes	—
180	C₂²×Q₁₆	—	13	1	no	—
181	C₂×C₄×Q₈	—	13	4	no	—
182	C₂×C₄×Q₈	—	13	2	no	—
183	C₄×Q₁₆	—	13	16	no	—
184	C₄×Q₁₆	—	13	1	no	—
185	C₄×Q₁₆	—	13	2	no	—
186	C₄×Q₁₆	—	13	1	no	—
187	C₄×Q₁₆	—	13	2	no	—
188	C₄×Q₁₆	—	13	1	no	—
189	C₄×Q₁₆	#261	1	1	yes	characteristic, direct product factor
190	C₂×#107	—	13	2	no	—
191	C₂×#107	—	13	1	no	—
192	C₂×#103	—	13	4	no	—
193	C₂×#103	—	13	2	no	—
194	C₂×C₄×C₈	—	13	2	no	—
195	C₂×C₄×C₈	—	13	1	no	—
196	C₂×C₄×C₈	—	13	1	no	—
197	C₂×C₄×C₈	—	13	2	no	—
198	C₄×C₄⋊C₄	—	13	2	no	—
199	C₄×C₄⋊C₄	—	13	4	no	—
200	C₄×C₄⋊C₄	—	26	2	no	—
201	C₄×C₄⋊C₄	—	26	4	no	—
202	C₄³	—	13	1	no	—
203	C₄³	—	26	2	no	—
204	#340	—	13	4	no	—
205	#340	—	13	2	no	—
206	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
207	C₂×D₁₃	C₂×C₄×D₄	1	2	yes	—
208	C₂×D₁₃	C₂²×Q₁₆	1	1	yes	characteristic
209	C₂×D₁₃	C₂×#135	1	2	yes	—
210	C₂×D₁₃	C₂×#135	1	1	yes	characteristic
211	#261	—	2	4	no	—
212	#261	—	4	8	no	—
213	#261	C₄×Q₁₆	1	8	yes	direct product factor
214	C₄×C₁₃	—	2	1	no	—
215	C₄×C₁₃	—	2	4	no	—
216	C₄×C₁₃	—	4	2	no	—
217	C₄×C₁₃	C₄×Q₁₆	1	2	yes	complemented
218	C₄×C₁₃	C₂²×C₄²	1	1	yes	characteristic
219	C₄×C₁₃	C₄×#41	1	1	yes	characteristic
220	Dic₁₃	—	2	1	no	—
221	Dic₁₃	—	2	4	no	—
222	Dic₁₃	—	4	2	no	—
223	Dic₁₃	C₄×Q₁₆	1	2	yes	complemented
224	Dic₁₃	C₄×#41	1	2	yes	—
225	C₂²×Q₈	—	13	2	no	—
226	C₂×Q₁₆	—	13	2	no	—
227	C₂×Q₁₆	—	13	8	no	—
228	C₂×Q₁₆	—	13	1	no	—
229	C₂×Q₁₆	C₂×#261	1	1	yes	characteristic
230	C₂²×C₈	—	13	1	no	—
231	C₂²×C₈	—	13	2	no	—
232	C₂²×C₈	—	13	1	no	—
233	C₄×Q₈	—	13	16	no	—
234	C₄×Q₈	—	13	2	no	—
235	C₄×Q₈	—	13	2	no	—
236	C₄×Q₈	—	13	2	no	—
237	C₄×Q₈	—	26	2	no	—
238	C₄×Q₈	—	26	2	no	—
239	C₄×Q₈	—	26	8	no	—
240	C₄×Q₈	C₂×#261	1	2	yes	—
241	C₂×C₄⋊C₄	—	13	4	no	—
242	C₂×C₄⋊C₄	—	13	2	no	—
243	C₂×C₄⋊C₄	—	26	2	no	—
244	C₂×C₄⋊C₄	—	26	4	no	—
245	C₂×C₄²	—	13	2	no	—
246	C₂×C₄²	—	13	1	no	—
247	C₂×C₄²	—	13	1	no	—
248	C₂×C₄²	—	13	2	no	—
249	C₂×C₄²	—	13	1	no	—
250	C₂×C₄²	—	26	2	no	—
251	C₂×C₄²	—	26	4	no	—
252	C₂×C₄²	—	26	4	no	—
253	C₂×C₄²	—	26	2	no	—
254	#107	—	13	8	no	—
255	#107	—	13	1	no	—
256	#107	—	13	2	no	—
257	#107	C₂×#261	1	1	yes	characteristic
258	#103	—	13	16	no	—
259	#103	—	13	2	no	—
260	#103	—	13	2	no	—
261	#103	—	13	2	no	—
262	#103	C₂×#261	1	2	yes	—
263	C₄×C₈	—	13	8	no	—
264	C₄×C₈	—	13	1	no	—
265	C₄×C₈	—	13	1	no	—
266	C₄×C₈	—	13	1	no	—
267	C₄×C₈	—	26	4	no	—
268	C₄×C₈	—	26	1	no	—
269	C₄×C₈	—	26	1	no	—
270	C₄×C₈	C₂×#261	1	1	yes	characteristic
271	#95	—	26	4	no	—
272	#95	—	26	2	no	—
273	C₂×C₁₃	C₄²×D₄	1	1	yes	characteristic
274	C₂×C₁₃	C₂×C₄×Q₁₆	1	1	yes	characteristic
275	C₂×C₁₃	C₄×#135	1	1	yes	characteristic
276	D₁₃	C₂×C₄×Q₁₆	1	2	yes	—
277	D₁₃	C₄×#135	1	2	yes	—
278	C₂×Q₈	—	13	8	no	—
279	C₂×Q₈	—	13	2	no	—
280	C₂×Q₈	—	26	2	no	—
281	C₂×Q₈	—	26	4	no	—
282	C₂×Q₈	C₂²×#261	1	2	yes	—
283	C₂²×C₄	—	13	2	no	—
284	C₂²×C₄	—	13	1	no	—
285	C₂²×C₄	—	13	1	no	—
286	C₂²×C₄	—	13	2	no	—
287	C₂²×C₄	—	13	1	no	—
288	C₂²×C₄	—	26	2	no	—
289	C₂²×C₄	—	26	2	no	—
290	C₂²×C₄	—	26	4	no	—
291	Q₁₆	—	13	8	no	—
292	Q₁₆	—	13	4	no	—
293	Q₁₆	C₄×#261	1	4	yes	direct product factor
294	C₂×C₈	—	13	1	no	—
295	C₂×C₈	—	13	4	no	—
296	C₂×C₈	—	13	4	no	—
297	C₂×C₈	—	13	1	no	—
298	C₂×C₈	—	26	2	no	—
299	C₂×C₈	—	26	2	no	—
300	C₂×C₈	—	26	2	no	—
301	C₂×C₈	C₂²×#261	1	1	yes	characteristic
302	C₂×C₈	C₂²×#261	1	1	yes	characteristic
303	C₄⋊C₄	—	2	2	no	—
304	C₄⋊C₄	—	13	8	no	—
305	C₄⋊C₄	—	13	2	no	—
306	C₄⋊C₄	—	26	2	no	—
307	C₄⋊C₄	—	26	2	no	—
308	C₄⋊C₄	—	26	2	no	—
309	C₄⋊C₄	—	26	4	no	—
310	C₄⋊C₄	—	26	16	no	—
311	C₄⋊C₄	—	26	2	no	—
312	C₄⋊C₄	C₂²×#261	1	2	yes	—
313	C₄²	—	2	2	no	—
314	C₄²	—	13	4	no	—
315	C₄²	—	13	4	no	—
316	C₄²	—	13	4	no	—
317	C₄²	—	13	1	no	—
318	C₄²	—	13	1	no	—
319	C₄²	—	13	1	no	—
320	C₄²	—	26	2	no	—
321	C₄²	—	26	2	no	—
322	C₄²	—	26	4	no	—
323	C₄²	—	26	2	no	—
324	C₄²	—	26	16	no	—
325	C₄²	—	26	2	no	—
326	C₄²	—	52	8	no	—
327	C₄²	—	52	4	no	—
328	C₄²	C₂²×#261	1	1	yes	characteristic
329	C₁₃	C₄²×Q₁₆	1	1	yes	characteristic, complemented, Sylow
330	C₂³	—	13	1	no	—
331	Q₈	—	2	2	no	—
332	Q₈	—	13	4	no	—
333	Q₈	—	26	8	no	—
334	Q₈	—	26	2	no	—
335	Q₈	C₂×C₄×#261	1	4	yes	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	13	4	no	—
339	C₂×C₄	—	13	4	no	—
340	C₂×C₄	—	13	4	no	—
341	C₂×C₄	—	13	1	no	—
342	C₂×C₄	—	13	1	no	—
343	C₂×C₄	—	13	2	no	—
344	C₂×C₄	—	13	2	no	—
345	C₂×C₄	—	13	2	no	—
346	C₂×C₄	—	13	2	no	—
347	C₂×C₄	—	13	4	no	—
348	C₂×C₄	—	13	1	no	—
349	C₂×C₄	—	26	8	no	—
350	C₂×C₄	—	26	2	no	—
351	C₂×C₄	—	26	2	no	—
352	C₂×C₄	—	26	2	no	—
353	C₂×C₄	—	26	2	no	—
354	C₂×C₄	—	26	8	no	—
355	C₂×C₄	—	26	2	no	—
356	C₂×C₄	—	52	4	no	—
357	C₂×C₄	—	52	4	no	—
358	C₂×C₄	—	52	4	no	—
359	C₂×C₄	D₄×#261	1	1	yes	characteristic
360	C₂×C₄	D₄×#261	1	1	yes	characteristic
361	C₂×C₄	C₂³×#261	1	1	yes	characteristic
362	C₈	—	2	1	no	—
363	C₈	—	13	2	no	—
364	C₈	—	26	4	no	—
365	C₈	—	26	1	no	—
366	C₈	C₂×C₄×#261	1	2	yes	—
367	C₂²	—	13	2	no	—
368	C₂²	—	13	1	no	—
369	C₂²	—	13	1	no	—
370	C₂²	—	13	2	no	—
371	C₂²	C₂×D₄×#261	1	1	yes	characteristic
372	C₄	—	2	4	no	—
373	C₄	—	2	1	no	—
374	C₄	—	4	2	no	—
375	C₄	—	13	8	no	—
376	C₄	—	13	2	no	—
377	C₄	—	13	2	no	—
378	C₄	—	26	4	no	—
379	C₄	—	26	4	no	—
380	C₄	—	26	1	no	—
381	C₄	—	52	8	no	—
382	C₄	—	52	2	no	—
383	C₄	Q₁₆×#261	1	2	yes	direct product factor
384	C₄	C₂²×C₄×#261	1	1	yes	characteristic
385	C₄	#41×#261	1	1	yes	characteristic
386	C₂	—	13	2	no	—
387	C₂	—	13	2	no	—
388	C₂	C₄×D₄×#261	1	1	yes	characteristic
389	C₂	C₂×Q₁₆×#261	1	1	yes	characteristic
390	C₂	#135×#261	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₄×#261
commutator	C₄×C₁₃	C₂²×C₄²
Frattini	C₂×C₄	C₂³×#261
Fitting	C₄×C₁₃×Q₁₆	C₄
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂²×D₁₃	C₂²×D₄
cosocle	C₂×C₄×D₁₃	C₂⁴
hypercenter	C₄×Q₁₆	#261
hypocenter	C₁₃	C₄²×Q₁₆
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄² ◁ C₄×Q₁₆

Complements

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

N	H ≅ G/N	type
13. Q₁₆×#261	C₄	direct (N × H)
24. C₄×C₁₃×Q₁₆	C₄	semidirect
25. Q₁₆×Dic₁₃	C₄	semidirect
26. C₄×#6107	C₄	semidirect
28. #11718534	C₄	semidirect
30. #11718451	C₄	semidirect
31. C₄×Dic₅₂	C₄	semidirect
106. C₄×#261	Q₁₆	direct (N × H)
111. C₁₃×Q₁₆	C₄²	semidirect
118. #6107	C₄²	semidirect
132. Dic₅₂	C₄²	semidirect
189. C₄×Q₁₆	#261	direct (N × H)
213. #261	C₄×Q₁₆	direct (N × H)
217. C₄×C₁₃	C₄×Q₁₆	semidirect
223. Dic₁₃	C₄×Q₁₆	semidirect
293. Q₁₆	C₄×#261	direct (N × H)
329. C₁₃	C₄²×Q₁₆	semidirect
383. C₄	Q₁₆×#261	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×Q₁₆×#261	2
C₄×Q₈×#261	2
#107×#261	2
C₄×#88102	2
#103×#261	2
C₄×#88117	2
C₄×C₈×#261	2
C₄×Q₁₆×D₁₃	2
C₄²×Q₁₆	13

Subgroups — C4×Q16×#261 #16797405

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×Q₁₆×#261 #16797405