Subgroups — C₁₃×#3557 #13112615

Order 1664.

930 conjugacy classes of subgroups.

The subgroup lattice has 334 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#563	C₂	1	4	yes	maximal, complemented
2	C₁₃×#559	C₂	1	2	yes	maximal, complemented
3	C₁₃×#557	C₂	1	2	yes	maximal, complemented
4	C₁₃×#556	C₂	1	2	yes	maximal, complemented
5	C₁₃×#554	C₂	1	2	yes	maximal, complemented
6	C₁₃×#552	C₂	1	4	yes	maximal, complemented
7	C₁₃×#542	C₂	1	2	yes	maximal, complemented
8	C₁₃×#542	C₂	1	4	yes	maximal, complemented
9	C₁₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#540	C₂	1	1	yes	maximal, characteristic
11	C₁₃×#539	C₂	1	4	yes	maximal, complemented
12	C₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#529	C₂	1	2	yes	maximal, complemented
14	C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
15	C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
16	C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
17	C₁₃×C₄⋊Q₈	C₂²	1	4	yes	—
18	C₁₃×#127	C₂²	1	1	yes	characteristic
19	C₁₃×#126	C₂²	1	4	yes	—
20	C₁₃×#126	C₂²	1	4	yes	—
21	C₁₃×#126	C₂²	1	4	yes	—
22	C₁₃×#126	C₂²	1	4	yes	—
23	C₁₃×#126	C₂²	1	4	yes	—
24	C₁₃×#125	C₂²	1	2	yes	—
25	C₁₃×#125	C₂²	1	2	yes	—
26	C₁₃×#125	C₂²	1	4	yes	—
27	C₁₃×#125	C₂²	1	4	yes	—
28	C₁₃×#125	C₂²	1	1	yes	characteristic
29	C₁₃×#125	C₂²	1	4	yes	—
30	C₁₃×#125	C₂²	1	1	yes	characteristic
31	C₁₃×#124	C₂²	1	2	yes	—
32	C₁₃×#124	C₂²	1	4	yes	—
33	C₁₃×#124	C₂²	1	2	yes	—
34	C₁₃×#124	C₂²	1	4	yes	—
35	C₁₃×#123	C₂²	1	4	yes	—
36	C₁₃×#123	C₂²	1	4	yes	—
37	C₁₃×#123	C₂²	1	4	yes	—
38	C₁₃×#123	C₂²	1	4	yes	—
39	C₁₃×#123	C₂²	1	4	yes	—
40	C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
41	C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
42	C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
43	C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
44	C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
45	C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
46	C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
47	C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
48	C₁₃×#121	C₂²	1	2	yes	—
49	C₁₃×#121	C₂²	1	4	yes	—
50	C₄×Q₈×C₁₃	C₂²	1	2	yes	—
51	C₄×Q₈×C₁₃	C₂²	1	2	yes	—
52	C₄×Q₈×C₁₃	C₂²	1	2	yes	—
53	C₄×Q₈×C₁₃	C₂²	1	2	yes	—
54	C₄×Q₈×C₁₃	C₂²	1	4	yes	—
55	C₄×Q₈×C₁₃	C₂²	1	2	yes	—
56	C₄×D₄×C₁₃	C₂²	1	4	yes	—
57	C₄×D₄×C₁₃	C₂²	1	2	yes	—
58	C₄×D₄×C₁₃	C₂²	1	4	yes	—
59	C₄×D₄×C₁₃	C₂²	1	2	yes	—
60	C₄×D₄×C₁₃	C₂²	1	2	yes	—
61	C₁₃×#117	C₂²	1	4	yes	—
62	C₁₃×#117	C₂²	1	1	yes	characteristic
63	C₁₃×#117	C₂²	1	1	yes	characteristic
64	C₁₃×#117	C₂²	1	4	yes	—
65	C₂×C₁₃×C₄⋊C₄	C₂²	1	4	yes	—
66	C₂×C₄²×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×Q₈×C₁₃	C₂³	1	2	yes	—
68	C₂×Q₈×C₁₃	C₂³	1	2	yes	—
69	C₂×Q₈×C₁₃	C₂³	1	4	yes	—
70	C₂×Q₈×C₁₃	C₂³	1	2	yes	—
71	C₂×D₄×C₁₃	C₂³	1	2	yes	—
72	C₂×D₄×C₁₃	C₂³	1	4	yes	—
73	C₂×D₄×C₁₃	C₂³	1	4	yes	—
74	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	C₂³	1	2	yes	—
76	C₂²×C₄×C₁₃	C₂³	1	4	yes	—
77	C₂²×C₄×C₁₃	C₂³	1	4	yes	—
78	C₂²×C₄×C₁₃	C₂³	1	4	yes	—
79	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
80	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
81	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
82	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
83	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
84	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
85	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
86	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
87	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
88	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
89	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
90	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
91	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
92	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
93	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
94	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
95	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
96	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
97	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
98	C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
99	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
100	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
101	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
102	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
103	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
104	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
105	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
106	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
107	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
108	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
109	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
110	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
111	C₄²×C₁₃	C₂³	1	1	yes	characteristic
112	C₄²×C₁₃	C₂³	1	2	yes	—
113	C₄²×C₁₃	C₂³	1	1	yes	characteristic
114	C₄²×C₁₃	C₂³	1	4	yes	—
115	C₄²×C₁₃	C₂³	1	1	yes	characteristic
116	C₄²×C₁₃	C₂³	1	2	yes	—
117	C₄²×C₁₃	C₂³	1	1	yes	characteristic
118	C₄²×C₁₃	C₂³	1	4	yes	—
119	C₄²×C₁₃	C₂³	1	4	yes	—
120	#3557	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
121	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
122	C₂³×C₁₃	C₂⁴	1	4	yes	—
123	Q₈×C₁₃	—	2	4	no	—
124	Q₈×C₁₃	—	4	2	no	—
125	Q₈×C₁₃	—	4	4	no	—
126	Q₈×C₁₃	—	4	2	no	—
127	D₄×C₁₃	—	2	4	no	—
128	D₄×C₁₃	—	4	4	no	—
129	D₄×C₁₃	—	4	4	no	—
130	C₂×C₄×C₁₃	—	2	2	no	—
131	C₂×C₄×C₁₃	—	4	4	no	—
132	C₂×C₄×C₁₃	—	4	2	no	—
133	C₂×C₄×C₁₃	—	4	4	no	—
134	C₂×C₄×C₁₃	—	4	4	no	—
135	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
136	C₂×C₄×C₁₃	C₂⁴	1	4	yes	—
137	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
138	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
139	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
141	C₂×C₄×C₁₃	C₂⁴	1	4	yes	—
142	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
143	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
144	C₂×C₄×C₁₃	C₂⁴	1	4	yes	—
145	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
146	#563	C₂×C₁₃	1	4	yes	complemented
147	#559	C₂×C₁₃	1	2	yes	complemented
148	#557	C₂×C₁₃	1	2	yes	complemented
149	#556	C₂×C₁₃	1	2	yes	complemented
150	#554	C₂×C₁₃	1	2	yes	complemented
151	#552	C₂×C₁₃	1	4	yes	complemented
152	#542	C₂×C₁₃	1	2	yes	complemented
153	#542	C₂×C₁₃	1	4	yes	complemented
154	#541	C₂×C₁₃	1	1	yes	characteristic, complemented
155	#540	C₂×C₁₃	1	1	yes	characteristic
156	#539	C₂×C₁₃	1	4	yes	complemented
157	#533	C₂×C₁₃	1	1	yes	characteristic, complemented
158	#529	C₂×C₁₃	1	2	yes	complemented
159	C₂²×C₁₃	—	2	1	no	—
160	C₂²×C₁₃	—	2	4	no	—
161	C₂²×C₁₃	—	2	4	no	—
162	C₂²×C₁₃	—	2	2	no	—
163	C₂²×C₁₃	—	2	4	no	—
164	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
165	C₄×C₁₃	—	2	1	no	—
166	C₄×C₁₃	—	2	4	no	—
167	C₄×C₁₃	—	2	2	no	—
168	C₄×C₁₃	—	2	4	no	—
169	C₄×C₁₃	—	2	2	no	—
170	C₄×C₁₃	—	2	2	no	—
171	C₄×C₁₃	—	2	4	no	—
172	C₄×C₁₃	—	2	2	no	—
173	C₄×C₁₃	—	2	2	no	—
174	C₄×C₁₃	—	2	2	no	—
175	C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
176	C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
177	C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
178	C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
179	C₄⋊Q₈	C₂²×C₁₃	1	4	yes	—
180	#127	C₂²×C₁₃	1	1	yes	characteristic
181	#126	C₂²×C₁₃	1	4	yes	—
182	#126	C₂²×C₁₃	1	4	yes	—
183	#126	C₂²×C₁₃	1	4	yes	—
184	#126	C₂²×C₁₃	1	4	yes	—
185	#126	C₂²×C₁₃	1	4	yes	—
186	#125	C₂²×C₁₃	1	2	yes	—
187	#125	C₂²×C₁₃	1	2	yes	—
188	#125	C₂²×C₁₃	1	4	yes	—
189	#125	C₂²×C₁₃	1	4	yes	—
190	#125	C₂²×C₁₃	1	1	yes	characteristic
191	#125	C₂²×C₁₃	1	4	yes	—
192	#125	C₂²×C₁₃	1	1	yes	characteristic
193	#124	C₂²×C₁₃	1	2	yes	—
194	#124	C₂²×C₁₃	1	4	yes	—
195	#124	C₂²×C₁₃	1	2	yes	—
196	#124	C₂²×C₁₃	1	4	yes	—
197	#123	C₂²×C₁₃	1	4	yes	—
198	#123	C₂²×C₁₃	1	4	yes	—
199	#123	C₂²×C₁₃	1	4	yes	—
200	#123	C₂²×C₁₃	1	4	yes	—
201	#123	C₂²×C₁₃	1	4	yes	—
202	C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
203	C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
204	C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
205	C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
206	C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
207	C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
208	C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
209	C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
210	#121	C₂²×C₁₃	1	2	yes	—
211	#121	C₂²×C₁₃	1	4	yes	—
212	C₄×Q₈	C₂²×C₁₃	1	2	yes	—
213	C₄×Q₈	C₂²×C₁₃	1	2	yes	—
214	C₄×Q₈	C₂²×C₁₃	1	2	yes	—
215	C₄×Q₈	C₂²×C₁₃	1	2	yes	—
216	C₄×Q₈	C₂²×C₁₃	1	4	yes	—
217	C₄×Q₈	C₂²×C₁₃	1	2	yes	—
218	C₄×D₄	C₂²×C₁₃	1	4	yes	—
219	C₄×D₄	C₂²×C₁₃	1	2	yes	—
220	C₄×D₄	C₂²×C₁₃	1	4	yes	—
221	C₄×D₄	C₂²×C₁₃	1	2	yes	—
222	C₄×D₄	C₂²×C₁₃	1	2	yes	—
223	#117	C₂²×C₁₃	1	4	yes	—
224	#117	C₂²×C₁₃	1	1	yes	characteristic
225	#117	C₂²×C₁₃	1	1	yes	characteristic
226	#117	C₂²×C₁₃	1	4	yes	—
227	C₂×C₄⋊C₄	C₂²×C₁₃	1	4	yes	—
228	C₂×C₄²	C₂²×C₁₃	1	1	yes	characteristic
229	C₂×C₁₃	—	4	1	no	—
230	C₂×C₁₃	—	4	4	no	—
231	C₂×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
232	C₂×C₁₃	#585	1	2	yes	—
233	C₂×Q₈	C₂³×C₁₃	1	2	yes	—
234	C₂×Q₈	C₂³×C₁₃	1	2	yes	—
235	C₂×Q₈	C₂³×C₁₃	1	4	yes	—
236	C₂×Q₈	C₂³×C₁₃	1	2	yes	—
237	C₂×D₄	C₂³×C₁₃	1	2	yes	—
238	C₂×D₄	C₂³×C₁₃	1	4	yes	—
239	C₂×D₄	C₂³×C₁₃	1	4	yes	—
240	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
241	C₂²×C₄	C₂³×C₁₃	1	2	yes	—
242	C₂²×C₄	C₂³×C₁₃	1	4	yes	—
243	C₂²×C₄	C₂³×C₁₃	1	4	yes	—
244	C₂²×C₄	C₂³×C₁₃	1	4	yes	—
245	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
246	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
247	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
248	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
249	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
250	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
251	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
252	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
253	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
254	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
255	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
256	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
257	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
258	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
259	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
260	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
261	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
262	C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
263	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
264	C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
265	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
266	C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
267	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
268	C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
269	C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
270	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
271	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
272	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
273	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
274	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
275	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
276	C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
277	C₄²	C₂³×C₁₃	1	1	yes	characteristic
278	C₄²	C₂³×C₁₃	1	2	yes	—
279	C₄²	C₂³×C₁₃	1	1	yes	characteristic
280	C₄²	C₂³×C₁₃	1	4	yes	—
281	C₄²	C₂³×C₁₃	1	1	yes	characteristic
282	C₄²	C₂³×C₁₃	1	2	yes	—
283	C₄²	C₂³×C₁₃	1	1	yes	characteristic
284	C₄²	C₂³×C₁₃	1	4	yes	—
285	C₄²	C₂³×C₁₃	1	4	yes	—
286	C₁₃	#3557	1	1	yes	characteristic, direct product factor, Sylow
287	C₂³	C₂⁴×C₁₃	1	1	yes	characteristic
288	C₂³	C₂⁴×C₁₃	1	4	yes	—
289	Q₈	—	2	4	no	—
290	Q₈	—	4	2	no	—
291	Q₈	—	4	4	no	—
292	Q₈	—	4	2	no	—
293	D₄	—	2	4	no	—
294	D₄	—	4	4	no	—
295	D₄	—	4	4	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	4	4	no	—
298	C₂×C₄	—	4	2	no	—
299	C₂×C₄	—	4	4	no	—
300	C₂×C₄	—	4	4	no	—
301	C₂×C₄	C₂⁴×C₁₃	1	2	yes	—
302	C₂×C₄	C₂⁴×C₁₃	1	4	yes	—
303	C₂×C₄	C₂⁴×C₁₃	1	2	yes	—
304	C₂×C₄	C₂⁴×C₁₃	1	2	yes	—
305	C₂×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
306	C₂×C₄	C₂⁴×C₁₃	1	2	yes	—
307	C₂×C₄	C₂⁴×C₁₃	1	4	yes	—
308	C₂×C₄	C₂⁴×C₁₃	1	2	yes	—
309	C₂×C₄	C₂⁴×C₁₃	1	2	yes	—
310	C₂×C₄	C₂⁴×C₁₃	1	4	yes	—
311	C₂×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
312	C₂²	—	2	1	no	—
313	C₂²	—	2	4	no	—
314	C₂²	—	2	4	no	—
315	C₂²	—	2	2	no	—
316	C₂²	—	2	4	no	—
317	C₂²	C₂⁵×C₁₃	1	1	yes	characteristic
318	C₄	—	2	1	no	—
319	C₄	—	2	4	no	—
320	C₄	—	2	2	no	—
321	C₄	—	2	4	no	—
322	C₄	—	2	2	no	—
323	C₄	—	2	2	no	—
324	C₄	—	2	4	no	—
325	C₄	—	2	2	no	—
326	C₄	—	2	2	no	—
327	C₄	—	2	2	no	—
328	C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
329	C₂	—	4	1	no	—
330	C₂	—	4	4	no	—
331	C₂	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
332	C₂	C₁₃×#585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁵×C₁₃
prime radical	C₁₃×#540	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#563	C₂	semidirect
2. C₁₃×#559	C₂	semidirect
3. C₁₃×#557	C₂	semidirect
4. C₁₃×#556	C₂	semidirect
5. C₁₃×#554	C₂	semidirect
6. C₁₃×#552	C₂	semidirect
7. C₁₃×#542	C₂	semidirect
8. C₁₃×#542	C₂	semidirect
9. C₁₃×#541	C₂	semidirect
11. C₁₃×#539	C₂	semidirect
12. C₁₃×#533	C₂	semidirect
13. C₁₃×#529	C₂	semidirect
120. #3557	C₁₃	direct (N × H)
146. #563	C₂×C₁₃	semidirect
147. #559	C₂×C₁₃	semidirect
148. #557	C₂×C₁₃	semidirect
149. #556	C₂×C₁₃	semidirect
150. #554	C₂×C₁₃	semidirect
151. #552	C₂×C₁₃	semidirect
152. #542	C₂×C₁₃	semidirect
153. #542	C₂×C₁₃	semidirect
154. #541	C₂×C₁₃	semidirect
156. #539	C₂×C₁₃	semidirect
157. #533	C₂×C₁₃	semidirect
158. #529	C₂×C₁₃	semidirect
286. C₁₃	#3557	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#563	2
C₁₃×#559	2
C₁₃×#557	2
C₁₃×#556	2
C₁₃×#554	2
C₁₃×#552	2
C₁₃×#542	2
C₁₃×#541	2
C₁₃×#540	2
C₁₃×#539	2
C₁₃×#533	2
C₁₃×#529	2
#3557	13

Subgroups — C13×#3557 #13112615

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#3557 #13112615