Subgroups — C₄×C₁₃×#442 #15706839

Order 3328.

1326 conjugacy classes of subgroups.

The subgroup lattice has 312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#442	C₂	1	2	yes	maximal
2	C₂×C₄×C₁₃×D₈	C₂	1	1	yes	maximal, characteristic
3	C₄²×D₄×C₁₃	C₂	1	2	yes	maximal, complemented
4	C₁₃×#1776	C₂	1	2	yes	maximal, complemented
5	C₄×C₁₃×#106	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#1762	C₂	1	4	yes	maximal, complemented
7	C₄×C₁₃×#102	C₂	1	2	yes	maximal, complemented
8	C₄×C₁₃×#97	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
11	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
12	C₂²×C₄²×C₁₃	—	2	2	no	—
13	C₁₃×#442	C₄	1	16	yes	direct product factor
14	C₄×C₁₃×D₈	C₄	1	8	yes	complemented
15	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×#106	C₂²	1	2	yes	—
17	C₂×C₁₃×#102	C₂²	1	4	yes	—
18	C₂×C₁₃×#102	C₂²	1	2	yes	—
19	C₂×C₁₃×#97	C₂²	1	2	yes	—
20	C₂×C₁₃×#97	C₂²	1	2	yes	—
21	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
22	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
23	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
24	C₄×C₁₃×C₄⋊C₄	C₂²	1	4	yes	—
25	C₄×C₁₃×C₂²⋊C₄	—	2	4	no	—
26	C₄×C₁₃×C₂²⋊C₄	—	2	2	no	—
27	C₄³×C₁₃	C₂²	1	1	yes	characteristic
28	C₁₃×#340	C₂²	1	4	yes	—
29	C₁₃×#340	C₂²	1	2	yes	—
30	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
31	C₂³×C₄×C₁₃	—	2	4	no	—
32	C₂³×C₄×C₁₃	—	2	2	no	—
33	C₂×C₁₃×D₈	C₂×C₄	1	4	yes	—
34	C₂×C₁₃×D₈	C₂×C₄	1	8	yes	—
35	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
36	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
37	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
38	C₄×D₄×C₁₃	—	2	4	no	—
39	C₄×D₄×C₁₃	—	2	8	no	—
40	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
41	C₄×D₄×C₁₃	C₂×C₄	1	16	yes	complemented
42	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
43	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
44	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
45	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
46	C₂×C₄²×C₁₃	—	2	4	no	—
47	C₂×C₄²×C₁₃	—	2	2	no	—
48	C₂×C₄²×C₁₃	—	4	8	no	—
49	C₂×C₄²×C₁₃	D₄	1	2	yes	—
50	C₂×C₄²×C₁₃	D₄	1	2	yes	—
51	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
52	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
53	C₁₃×#107	C₂×C₄	1	4	yes	complemented
54	C₁₃×#106	C₂×C₄	1	8	yes	complemented
55	C₁₃×#102	C₂×C₄	1	8	yes	complemented
56	C₁₃×#102	C₂×C₄	1	16	yes	complemented
57	C₁₃×#97	—	2	4	no	—
58	C₁₃×#97	C₂×C₄	1	8	yes	complemented
59	C₄×C₈×C₁₃	—	2	2	no	—
60	C₄×C₈×C₁₃	C₂×C₄	1	4	yes	complemented
61	C₁₃×#95	—	2	2	no	—
62	C₁₃×#95	—	2	4	no	—
63	C₄×#442	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
64	C₂⁴×C₁₃	—	2	2	no	—
65	C₂×D₄×C₁₃	—	2	2	no	—
66	C₂×D₄×C₁₃	—	2	4	no	—
67	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
68	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
69	C₂²×C₄×C₁₃	—	2	2	no	—
70	C₂²×C₄×C₁₃	—	2	4	no	—
71	C₂²×C₄×C₁₃	—	2	16	no	—
72	C₂²×C₄×C₁₃	—	2	8	no	—
73	C₂²×C₄×C₁₃	—	4	8	no	—
74	C₂²×C₄×C₁₃	—	4	8	no	—
75	C₂²×C₄×C₁₃	—	4	4	no	—
76	C₂²×C₄×C₁₃	—	4	4	no	—
77	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
79	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
80	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
81	C₁₃×D₈	C₄²	1	16	yes	complemented
82	C₂×C₈×C₁₃	—	2	2	no	—
83	C₂×C₈×C₁₃	—	2	2	no	—
84	C₂×C₈×C₁₃	—	2	2	no	—
85	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
86	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
87	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
88	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
89	C₁₃×C₄⋊C₄	—	2	4	no	—
90	C₁₃×C₄⋊C₄	—	2	2	no	—
91	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
92	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
93	C₁₃×C₂²⋊C₄	—	2	8	no	—
94	C₁₃×C₂²⋊C₄	—	2	16	no	—
95	C₄²×C₁₃	—	2	4	no	—
96	C₄²×C₁₃	—	4	2	no	—
97	C₄²×C₁₃	—	4	8	no	—
98	C₄²×C₁₃	—	4	4	no	—
99	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
100	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
101	C₄²×C₁₃	#41	1	2	yes	—
102	C₄²×C₁₃	#41	1	4	yes	—
103	C₂×#442	C₂×C₁₃	1	2	yes	—
104	C₂×C₄×D₈	C₂×C₁₃	1	1	yes	characteristic
105	C₄²×D₄	C₂×C₁₃	1	2	yes	complemented
106	#1776	C₂×C₁₃	1	2	yes	complemented
107	C₄×#106	C₂×C₁₃	1	1	yes	characteristic, complemented
108	#1762	C₂×C₁₃	1	4	yes	complemented
109	C₄×#102	C₂×C₁₃	1	2	yes	complemented
110	C₄×#97	C₂×C₁₃	1	1	yes	characteristic, complemented
111	C₂³×C₁₃	—	2	4	no	—
112	C₂³×C₁₃	—	2	8	no	—
113	C₂³×C₁₃	—	4	2	no	—
114	C₂³×C₁₃	—	4	2	no	—
115	C₂³×C₁₃	—	4	4	no	—
116	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
117	D₄×C₁₃	—	2	4	no	—
118	D₄×C₁₃	—	2	8	no	—
119	D₄×C₁₃	C₂×C₄²	1	8	yes	complemented
120	C₂×C₄×C₁₃	—	2	4	no	—
121	C₂×C₄×C₁₃	—	2	4	no	—
122	C₂×C₄×C₁₃	—	2	2	no	—
123	C₂×C₄×C₁₃	—	2	4	no	—
124	C₂×C₄×C₁₃	—	2	8	no	—
125	C₂×C₄×C₁₃	—	4	32	no	—
126	C₂×C₄×C₁₃	—	4	2	no	—
127	C₂×C₄×C₁₃	—	4	4	no	—
128	C₂×C₄×C₁₃	—	4	2	no	—
129	C₂×C₄×C₁₃	—	4	4	no	—
130	C₂×C₄×C₁₃	—	4	16	no	—
131	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
132	C₂×C₄×C₁₃	C₄×D₄	1	8	yes	—
133	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
134	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	—
135	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
137	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
139	C₈×C₁₃	—	2	4	no	—
140	C₈×C₁₃	—	2	2	no	—
141	C₈×C₁₃	C₂×C₄²	1	4	yes	complemented
142	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
143	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
144	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
145	C₂²×C₄²	—	2	2	no	—
146	#442	C₄×C₁₃	1	16	yes	direct product factor
147	C₄×D₈	C₄×C₁₃	1	8	yes	complemented
148	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
149	C₂×#106	C₂²×C₁₃	1	2	yes	—
150	C₂×#102	C₂²×C₁₃	1	2	yes	—
151	C₂×#102	C₂²×C₁₃	1	4	yes	—
152	C₂×#97	C₂²×C₁₃	1	2	yes	—
153	C₂×#97	C₂²×C₁₃	1	2	yes	—
154	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
155	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
156	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
157	C₄×C₄⋊C₄	C₂²×C₁₃	1	4	yes	—
158	C₄×C₂²⋊C₄	—	2	2	no	—
159	C₄×C₂²⋊C₄	—	2	4	no	—
160	C₄³	C₂²×C₁₃	1	1	yes	characteristic
161	#340	C₂²×C₁₃	1	4	yes	—
162	#340	C₂²×C₁₃	1	2	yes	—
163	C₂²×C₁₃	—	2	8	no	—
164	C₂²×C₁₃	—	4	4	no	—
165	C₂²×C₁₃	—	4	4	no	—
166	C₂²×C₁₃	—	4	8	no	—
167	C₂²×C₁₃	—	4	8	no	—
168	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
169	C₂²×C₁₃	C₂×C₄×D₄	1	2	yes	—
170	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
171	C₂²×C₁₃	#575	1	2	yes	—
172	C₄×C₁₃	—	2	2	no	—
173	C₄×C₁₃	—	2	8	no	—
174	C₄×C₁₃	—	4	4	no	—
175	C₄×C₁₃	—	4	8	no	—
176	C₄×C₁₃	#442	1	4	yes	direct product factor
177	C₄×C₁₃	C₂²×C₄²	1	1	yes	characteristic
178	C₄×C₁₃	C₄×#41	1	2	yes	—
179	C₄×C₁₃	C₄×#41	1	1	yes	characteristic
180	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
181	C₂³×C₄	—	2	4	no	—
182	C₂³×C₄	—	2	2	no	—
183	C₂×D₈	C₂×C₄×C₁₃	1	4	yes	—
184	C₂×D₈	C₂×C₄×C₁₃	1	8	yes	—
185	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
186	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
187	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
188	C₄×D₄	—	2	4	no	—
189	C₄×D₄	—	2	8	no	—
190	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
191	C₄×D₄	C₂×C₄×C₁₃	1	16	yes	complemented
192	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
193	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
194	C₂×C₂²⋊C₄	—	2	2	no	—
195	C₂×C₂²⋊C₄	—	2	4	no	—
196	C₂×C₄²	—	2	4	no	—
197	C₂×C₄²	—	2	2	no	—
198	C₂×C₄²	—	4	8	no	—
199	C₂×C₄²	D₄×C₁₃	1	2	yes	—
200	C₂×C₄²	D₄×C₁₃	1	2	yes	—
201	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
202	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
203	#107	C₂×C₄×C₁₃	1	4	yes	complemented
204	#106	C₂×C₄×C₁₃	1	8	yes	complemented
205	#102	C₂×C₄×C₁₃	1	8	yes	complemented
206	#102	C₂×C₄×C₁₃	1	16	yes	complemented
207	#97	—	2	4	no	—
208	#97	C₂×C₄×C₁₃	1	8	yes	complemented
209	C₄×C₈	—	2	2	no	—
210	C₄×C₈	C₂×C₄×C₁₃	1	4	yes	complemented
211	#95	—	2	2	no	—
212	#95	—	2	4	no	—
213	C₂×C₁₃	—	4	8	no	—
214	C₂×C₁₃	C₄²×D₄	1	1	yes	characteristic
215	C₂×C₁₃	C₂×#442	1	1	yes	characteristic
216	C₂×C₁₃	#2943	1	1	yes	characteristic
217	C₂×C₁₃	C₄×AGL(1,ℤ/8)	1	4	yes	—
218	C₂⁴	—	2	2	no	—
219	C₂×D₄	—	2	2	no	—
220	C₂×D₄	—	2	4	no	—
221	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
222	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
223	C₂²×C₄	—	2	2	no	—
224	C₂²×C₄	—	2	4	no	—
225	C₂²×C₄	—	2	16	no	—
226	C₂²×C₄	—	2	8	no	—
227	C₂²×C₄	—	4	8	no	—
228	C₂²×C₄	—	4	8	no	—
229	C₂²×C₄	—	4	4	no	—
230	C₂²×C₄	—	4	4	no	—
231	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
232	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
233	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
234	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
235	D₈	C₄²×C₁₃	1	16	yes	complemented
236	C₂×C₈	—	2	2	no	—
237	C₂×C₈	—	2	2	no	—
238	C₂×C₈	—	2	2	no	—
239	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
240	C₂×C₈	C₂²×C₄×C₁₃	1	4	yes	—
241	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
242	C₂×C₈	C₂²×C₄×C₁₃	1	4	yes	—
243	C₄⋊C₄	—	2	4	no	—
244	C₄⋊C₄	—	2	2	no	—
245	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
246	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
247	C₂²⋊C₄	—	2	8	no	—
248	C₂²⋊C₄	—	2	16	no	—
249	C₄²	—	2	4	no	—
250	C₄²	—	4	2	no	—
251	C₄²	—	4	8	no	—
252	C₄²	—	4	4	no	—
253	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
254	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
255	C₄²	C₁₃×#41	1	2	yes	—
256	C₄²	C₁₃×#41	1	4	yes	—
257	C₁₃	C₄×#442	1	1	yes	characteristic, direct product factor, Sylow
258	C₂³	—	2	4	no	—
259	C₂³	—	2	8	no	—
260	C₂³	—	4	2	no	—
261	C₂³	—	4	2	no	—
262	C₂³	—	4	4	no	—
263	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
264	D₄	—	2	4	no	—
265	D₄	—	2	8	no	—
266	D₄	C₂×C₄²×C₁₃	1	8	yes	complemented
267	C₂×C₄	—	2	4	no	—
268	C₂×C₄	—	2	4	no	—
269	C₂×C₄	—	2	2	no	—
270	C₂×C₄	—	2	4	no	—
271	C₂×C₄	—	2	8	no	—
272	C₂×C₄	—	4	32	no	—
273	C₂×C₄	—	4	2	no	—
274	C₂×C₄	—	4	4	no	—
275	C₂×C₄	—	4	2	no	—
276	C₂×C₄	—	4	4	no	—
277	C₂×C₄	—	4	16	no	—
278	C₂×C₄	C₄×D₄×C₁₃	1	2	yes	—
279	C₂×C₄	C₄×D₄×C₁₃	1	8	yes	—
280	C₂×C₄	C₄×D₄×C₁₃	1	2	yes	—
281	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	4	yes	—
282	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
283	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
284	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
285	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
286	C₈	—	2	4	no	—
287	C₈	—	2	2	no	—
288	C₈	C₂×C₄²×C₁₃	1	4	yes	complemented
289	C₂²	—	2	8	no	—
290	C₂²	—	4	4	no	—
291	C₂²	—	4	4	no	—
292	C₂²	—	4	8	no	—
293	C₂²	—	4	8	no	—
294	C₂²	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
295	C₂²	C₂×C₄×D₄×C₁₃	1	2	yes	—
296	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
297	C₂²	C₁₃×#575	1	2	yes	—
298	C₄	—	2	2	no	—
299	C₄	—	2	8	no	—
300	C₄	—	4	4	no	—
301	C₄	—	4	8	no	—
302	C₄	C₁₃×#442	1	4	yes	direct product factor
303	C₄	C₂²×C₄²×C₁₃	1	1	yes	characteristic
304	C₄	C₄×C₁₃×#41	1	2	yes	—
305	C₄	C₄×C₁₃×#41	1	1	yes	characteristic
306	C₂	—	4	8	no	—
307	C₂	C₄²×D₄×C₁₃	1	1	yes	characteristic
308	C₂	C₂×C₁₃×#442	1	1	yes	characteristic
309	C₂	C₁₃×#2943	1	1	yes	characteristic
310	C₂	C₄×C₁₃×AGL(1,ℤ/8)	1	4	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₃	C₂×D₄
commutator	C₄	C₂²×C₄²×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
socle	C₂³×C₁₃	C₂²×D₄
prime radical	C₂²×C₁₃×D₈	C₂²
LCS	G ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃ ◁ C₄³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₄²×D₄×C₁₃	C₂	semidirect
4. C₁₃×#1776	C₂	semidirect
5. C₄×C₁₃×#106	C₂	semidirect
6. C₁₃×#1762	C₂	semidirect
7. C₄×C₁₃×#102	C₂	semidirect
8. C₄×C₁₃×#97	C₂	semidirect
13. C₁₃×#442	C₄	direct (N × H)
14. C₄×C₁₃×D₈	C₄	semidirect
40. C₄×D₄×C₁₃	C₂×C₄	semidirect
41. C₄×D₄×C₁₃	C₂×C₄	semidirect
53. C₁₃×#107	C₂×C₄	semidirect
54. C₁₃×#106	C₂×C₄	semidirect
55. C₁₃×#102	C₂×C₄	semidirect
56. C₁₃×#102	C₂×C₄	semidirect
58. C₁₃×#97	C₂×C₄	semidirect
60. C₄×C₈×C₁₃	C₂×C₄	semidirect
63. C₄×#442	C₁₃	direct (N × H)
81. C₁₃×D₈	C₄²	semidirect
105. C₄²×D₄	C₂×C₁₃	semidirect
106. #1776	C₂×C₁₃	semidirect
107. C₄×#106	C₂×C₁₃	semidirect
108. #1762	C₂×C₁₃	semidirect
109. C₄×#102	C₂×C₁₃	semidirect
110. C₄×#97	C₂×C₁₃	semidirect
119. D₄×C₁₃	C₂×C₄²	semidirect
141. C₈×C₁₃	C₂×C₄²	semidirect
146. #442	C₄×C₁₃	direct (N × H)
147. C₄×D₈	C₄×C₁₃	semidirect
176. C₄×C₁₃	#442	direct (N × H)
190. C₄×D₄	C₂×C₄×C₁₃	semidirect
191. C₄×D₄	C₂×C₄×C₁₃	semidirect
203. #107	C₂×C₄×C₁₃	semidirect
204. #106	C₂×C₄×C₁₃	semidirect
205. #102	C₂×C₄×C₁₃	semidirect
206. #102	C₂×C₄×C₁₃	semidirect
208. #97	C₂×C₄×C₁₃	semidirect
210. C₄×C₈	C₂×C₄×C₁₃	semidirect
235. D₈	C₄²×C₁₃	semidirect
257. C₁₃	C₄×#442	direct (N × H)
266. D₄	C₂×C₄²×C₁₃	semidirect
288. C₈	C₂×C₄²×C₁₃	semidirect
302. C₄	C₁₃×#442	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×C₁₃×#442	2
C₂×C₄×C₁₃×D₈	2
C₄²×D₄×C₁₃	2
C₁₃×#1776	2
C₄×C₁₃×#106	2
C₁₃×#1762	2
C₄×C₁₃×#102	2
C₄×C₁₃×#97	2
C₄×#442	13

Subgroups — C4×C13×#442 #15706839

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×C₁₃×#442 #15706839