Subgroups — C₁₃×#2790 #13111848

Order 1664.

408 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#400	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#398	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#396	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#396	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#389	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#388	C₂	1	1	yes	maximal, characteristic
9	C₁₃×#388	C₂	1	1	yes	maximal, characteristic
10	C₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#385	C₂	1	1	yes	maximal, characteristic
13	C₁₃×#385	C₂	1	1	yes	maximal, characteristic
14	C₁₃×#385	C₂	1	1	yes	maximal, characteristic
15	C₁₃×#384	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×C₄×C₁₃	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×C₄²×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄²×C₁₃	C₂²	1	1	yes	characteristic
39	C₁₃×#95	C₂²	1	1	yes	characteristic
40	C₁₃×#95	C₂²	1	1	yes	characteristic
41	C₁₃×#95	C₂²	1	1	yes	characteristic
42	C₁₃×#95	C₂²	1	1	yes	characteristic
43	C₁₃×#95	C₂²	1	1	yes	characteristic
44	C₁₃×#95	C₂²	1	1	yes	characteristic
45	C₁₃×#95	C₂²	1	1	yes	characteristic
46	C₁₃×#95	C₂²	1	1	yes	characteristic
47	C₁₃×#95	C₂²	1	1	yes	characteristic
48	C₁₃×#95	C₂²	1	1	yes	characteristic
49	C₁₃×#95	C₂²	1	1	yes	characteristic
50	C₁₃×#95	C₂²	1	1	yes	characteristic
51	C₂⁴×C₁₃	C₂³	1	1	yes	characteristic
52	C₂²×C₄×C₁₃	—	4	1	no	—
53	C₂²×C₄×C₁₃	—	4	1	no	—
54	C₂²×C₄×C₁₃	—	4	1	no	—
55	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
56	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
57	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
58	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
59	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
60	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
61	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
62	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
63	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
66	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
69	C₁₃×C₄⋊C₄	—	2	2	no	—
70	C₁₃×C₄⋊C₄	—	2	2	no	—
71	C₁₃×C₄⋊C₄	—	2	2	no	—
72	C₁₃×C₄⋊C₄	—	4	1	no	—
73	C₁₃×C₄⋊C₄	—	4	1	no	—
74	C₁₃×C₄⋊C₄	—	4	1	no	—
75	C₁₃×C₄⋊C₄	—	4	1	no	—
76	C₁₃×C₄⋊C₄	—	4	1	no	—
77	C₁₃×C₄⋊C₄	—	4	1	no	—
78	C₁₃×C₄⋊C₄	—	4	1	no	—
79	C₁₃×C₄⋊C₄	—	4	1	no	—
80	C₁₃×C₄⋊C₄	—	4	1	no	—
81	C₁₃×C₄⋊C₄	—	4	1	no	—
82	C₁₃×C₄⋊C₄	—	4	1	no	—
83	C₁₃×C₂²⋊C₄	—	2	2	no	—
84	C₁₃×C₂²⋊C₄	—	2	2	no	—
85	C₁₃×C₂²⋊C₄	—	4	1	no	—
86	C₁₃×C₂²⋊C₄	—	4	1	no	—
87	C₁₃×C₂²⋊C₄	—	4	1	no	—
88	C₁₃×C₂²⋊C₄	Q₈	1	4	yes	—
89	C₄²×C₁₃	—	2	2	no	—
90	C₄²×C₁₃	—	4	1	no	—
91	#2790	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
92	C₂³×C₁₃	—	2	1	no	—
93	C₂³×C₁₃	—	2	1	no	—
94	C₂³×C₁₃	—	2	1	no	—
95	C₂³×C₁₃	—	2	1	no	—
96	C₂³×C₁₃	—	2	1	no	—
97	C₂³×C₁₃	—	2	1	no	—
98	C₂³×C₁₃	C₂×Q₈	1	2	yes	—
99	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
100	C₂×C₄×C₁₃	—	2	1	no	—
101	C₂×C₄×C₁₃	—	2	1	no	—
102	C₂×C₄×C₁₃	—	2	1	no	—
103	C₂×C₄×C₁₃	—	2	1	no	—
104	C₂×C₄×C₁₃	—	2	1	no	—
105	C₂×C₄×C₁₃	—	2	1	no	—
106	C₂×C₄×C₁₃	—	2	1	no	—
107	C₂×C₄×C₁₃	—	2	1	no	—
108	C₂×C₄×C₁₃	—	2	1	no	—
109	C₂×C₄×C₁₃	—	2	1	no	—
110	C₂×C₄×C₁₃	—	2	1	no	—
111	C₂×C₄×C₁₃	—	2	1	no	—
112	C₂×C₄×C₁₃	—	2	1	no	—
113	C₂×C₄×C₁₃	—	2	1	no	—
114	C₂×C₄×C₁₃	—	2	1	no	—
115	C₂×C₄×C₁₃	—	2	1	no	—
116	C₂×C₄×C₁₃	—	2	1	no	—
117	C₂×C₄×C₁₃	—	2	1	no	—
118	C₂×C₄×C₁₃	—	2	1	no	—
119	C₂×C₄×C₁₃	—	2	1	no	—
120	C₂×C₄×C₁₃	—	2	1	no	—
121	C₂×C₄×C₁₃	—	2	1	no	—
122	C₂×C₄×C₁₃	—	2	1	no	—
123	C₂×C₄×C₁₃	—	2	1	no	—
124	C₂×C₄×C₁₃	—	2	1	no	—
125	C₂×C₄×C₁₃	—	2	1	no	—
126	C₂×C₄×C₁₃	—	2	1	no	—
127	C₂×C₄×C₁₃	—	2	1	no	—
128	C₂×C₄×C₁₃	—	2	1	no	—
129	C₂×C₄×C₁₃	—	2	1	no	—
130	C₂×C₄×C₁₃	—	2	1	no	—
131	C₂×C₄×C₁₃	—	2	1	no	—
132	C₂×C₄×C₁₃	—	2	1	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	—	2	1	no	—
135	C₂×C₄×C₁₃	—	2	1	no	—
136	C₂×C₄×C₁₃	—	2	1	no	—
137	C₂×C₄×C₁₃	—	2	1	no	—
138	C₂×C₄×C₁₃	—	4	4	no	—
139	C₂×C₄×C₁₃	C₂×Q₈	1	2	yes	—
140	C₂×C₄×C₁₃	C₂×Q₈	1	2	yes	—
141	C₂×C₄×C₁₃	#41	1	2	yes	—
142	C₂×C₄×C₁₃	#41	1	2	yes	—
143	#400	C₂×C₁₃	1	1	yes	characteristic, complemented
144	#398	C₂×C₁₃	1	1	yes	characteristic, complemented
145	#398	C₂×C₁₃	1	1	yes	characteristic, complemented
146	#398	C₂×C₁₃	1	1	yes	characteristic, complemented
147	#396	C₂×C₁₃	1	1	yes	characteristic
148	#396	C₂×C₁₃	1	1	yes	characteristic
149	#389	C₂×C₁₃	1	1	yes	characteristic, complemented
150	#388	C₂×C₁₃	1	1	yes	characteristic
151	#388	C₂×C₁₃	1	1	yes	characteristic
152	#387	C₂×C₁₃	1	1	yes	characteristic, complemented
153	#387	C₂×C₁₃	1	1	yes	characteristic, complemented
154	#385	C₂×C₁₃	1	1	yes	characteristic
155	#385	C₂×C₁₃	1	1	yes	characteristic
156	#385	C₂×C₁₃	1	1	yes	characteristic
157	#384	C₂×C₁₃	1	1	yes	characteristic, complemented
158	C₂²×C₁₃	—	2	2	no	—
159	C₂²×C₁₃	—	2	2	no	—
160	C₂²×C₁₃	—	2	2	no	—
161	C₂²×C₁₃	—	4	1	no	—
162	C₂²×C₁₃	—	4	1	no	—
163	C₂²×C₁₃	—	4	1	no	—
164	C₂²×C₁₃	—	4	1	no	—
165	C₂²×C₁₃	C₂²×Q₈	1	1	yes	characteristic
166	C₂²×C₁₃	C₂×#41	1	1	yes	characteristic
167	C₂²×C₁₃	C₂×#41	1	1	yes	characteristic
168	C₂²×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
169	C₂²×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
170	C₂²×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
171	C₂²×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
172	C₄×C₁₃	—	2	2	no	—
173	C₄×C₁₃	—	2	2	no	—
174	C₄×C₁₃	—	2	2	no	—
175	C₄×C₁₃	—	2	2	no	—
176	C₄×C₁₃	—	4	1	no	—
177	C₄×C₁₃	—	4	1	no	—
178	C₄×C₁₃	—	4	1	no	—
179	C₄×C₁₃	—	4	1	no	—
180	C₄×C₁₃	—	4	1	no	—
181	C₄×C₁₃	—	4	1	no	—
182	C₄×C₁₃	—	4	1	no	—
183	C₄×C₁₃	—	4	1	no	—
184	C₄×C₁₃	—	4	1	no	—
185	C₄×C₁₃	—	4	1	no	—
186	C₂³×C₄	C₂²×C₁₃	1	1	yes	characteristic
187	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
188	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
189	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
190	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
191	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
192	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
193	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
194	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
195	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
196	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
197	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
198	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
199	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
200	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
201	C₂×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
202	C₂×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
203	C₂×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
204	C₂×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
205	C₂×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
206	C₂×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
207	C₂×C₄²	C₂²×C₁₃	1	1	yes	characteristic
208	C₂×C₄²	C₂²×C₁₃	1	1	yes	characteristic
209	#95	C₂²×C₁₃	1	1	yes	characteristic
210	#95	C₂²×C₁₃	1	1	yes	characteristic
211	#95	C₂²×C₁₃	1	1	yes	characteristic
212	#95	C₂²×C₁₃	1	1	yes	characteristic
213	#95	C₂²×C₁₃	1	1	yes	characteristic
214	#95	C₂²×C₁₃	1	1	yes	characteristic
215	#95	C₂²×C₁₃	1	1	yes	characteristic
216	#95	C₂²×C₁₃	1	1	yes	characteristic
217	#95	C₂²×C₁₃	1	1	yes	characteristic
218	#95	C₂²×C₁₃	1	1	yes	characteristic
219	#95	C₂²×C₁₃	1	1	yes	characteristic
220	#95	C₂²×C₁₃	1	1	yes	characteristic
221	C₂×C₁₃	—	4	2	no	—
222	C₂×C₁₃	#539	1	1	yes	characteristic
223	C₂×C₁₃	#542	1	1	yes	characteristic
224	C₂×C₁₃	#544	1	1	yes	characteristic
225	C₂×C₁₃	#553	1	1	yes	characteristic
226	C₂×C₁₃	#554	1	1	yes	characteristic
227	C₂×C₁₃	#554	1	1	yes	characteristic
228	C₂×C₁₃	#560	1	1	yes	characteristic
229	C₂⁴	C₂³×C₁₃	1	1	yes	characteristic
230	C₂²×C₄	—	4	1	no	—
231	C₂²×C₄	—	4	1	no	—
232	C₂²×C₄	—	4	1	no	—
233	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
234	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
235	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
236	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
237	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
238	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
239	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
240	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
241	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
242	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
243	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
244	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
245	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
246	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
247	C₄⋊C₄	—	2	2	no	—
248	C₄⋊C₄	—	2	2	no	—
249	C₄⋊C₄	—	2	2	no	—
250	C₄⋊C₄	—	4	1	no	—
251	C₄⋊C₄	—	4	1	no	—
252	C₄⋊C₄	—	4	1	no	—
253	C₄⋊C₄	—	4	1	no	—
254	C₄⋊C₄	—	4	1	no	—
255	C₄⋊C₄	—	4	1	no	—
256	C₄⋊C₄	—	4	1	no	—
257	C₄⋊C₄	—	4	1	no	—
258	C₄⋊C₄	—	4	1	no	—
259	C₄⋊C₄	—	4	1	no	—
260	C₄⋊C₄	—	4	1	no	—
261	C₂²⋊C₄	—	2	2	no	—
262	C₂²⋊C₄	—	2	2	no	—
263	C₂²⋊C₄	—	4	1	no	—
264	C₂²⋊C₄	—	4	1	no	—
265	C₂²⋊C₄	—	4	1	no	—
266	C₂²⋊C₄	Q₈×C₁₃	1	4	yes	—
267	C₄²	—	2	2	no	—
268	C₄²	—	4	1	no	—
269	C₁₃	#2790	1	1	yes	characteristic, direct product factor, Sylow
270	C₂³	—	2	1	no	—
271	C₂³	—	2	1	no	—
272	C₂³	—	2	1	no	—
273	C₂³	—	2	1	no	—
274	C₂³	—	2	1	no	—
275	C₂³	—	2	1	no	—
276	C₂³	C₂×Q₈×C₁₃	1	2	yes	—
277	C₂³	C₂⁴×C₁₃	1	1	yes	characteristic
278	C₂×C₄	—	2	1	no	—
279	C₂×C₄	—	2	1	no	—
280	C₂×C₄	—	2	1	no	—
281	C₂×C₄	—	2	1	no	—
282	C₂×C₄	—	2	1	no	—
283	C₂×C₄	—	2	1	no	—
284	C₂×C₄	—	2	1	no	—
285	C₂×C₄	—	2	1	no	—
286	C₂×C₄	—	2	1	no	—
287	C₂×C₄	—	2	1	no	—
288	C₂×C₄	—	2	1	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	4	4	no	—
317	C₂×C₄	C₂×Q₈×C₁₃	1	2	yes	—
318	C₂×C₄	C₂×Q₈×C₁₃	1	2	yes	—
319	C₂×C₄	C₁₃×#41	1	2	yes	—
320	C₂×C₄	C₁₃×#41	1	2	yes	—
321	C₂²	—	2	2	no	—
322	C₂²	—	2	2	no	—
323	C₂²	—	2	2	no	—
324	C₂²	—	4	1	no	—
325	C₂²	—	4	1	no	—
326	C₂²	—	4	1	no	—
327	C₂²	—	4	1	no	—
328	C₂²	C₂²×Q₈×C₁₃	1	1	yes	characteristic
329	C₂²	C₂×C₁₃×#41	1	1	yes	characteristic
330	C₂²	C₂×C₁₃×#41	1	1	yes	characteristic
331	C₂²	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
332	C₂²	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
333	C₂²	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
334	C₂²	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
335	C₄	—	2	2	no	—
336	C₄	—	2	2	no	—
337	C₄	—	2	2	no	—
338	C₄	—	2	2	no	—
339	C₄	—	4	1	no	—
340	C₄	—	4	1	no	—
341	C₄	—	4	1	no	—
342	C₄	—	4	1	no	—
343	C₄	—	4	1	no	—
344	C₄	—	4	1	no	—
345	C₄	—	4	1	no	—
346	C₄	—	4	1	no	—
347	C₄	—	4	1	no	—
348	C₄	—	4	1	no	—
349	C₂	—	4	2	no	—
350	C₂	C₁₃×#539	1	1	yes	characteristic
351	C₂	C₁₃×#542	1	1	yes	characteristic
352	C₂	C₁₃×#544	1	1	yes	characteristic
353	C₂	C₁₃×#553	1	1	yes	characteristic
354	C₂	C₁₃×#554	1	1	yes	characteristic
355	C₂	C₁₃×#554	1	1	yes	characteristic
356	C₂	C₁₃×#560	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁴×C₁₃
prime radical	C₂⁴×C₁₃	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#400	C₂	semidirect
2. C₁₃×#398	C₂	semidirect
3. C₁₃×#398	C₂	semidirect
4. C₁₃×#398	C₂	semidirect
7. C₁₃×#389	C₂	semidirect
10. C₁₃×#387	C₂	semidirect
11. C₁₃×#387	C₂	semidirect
15. C₁₃×#384	C₂	semidirect
91. #2790	C₁₃	direct (N × H)
143. #400	C₂×C₁₃	semidirect
144. #398	C₂×C₁₃	semidirect
145. #398	C₂×C₁₃	semidirect
146. #398	C₂×C₁₃	semidirect
149. #389	C₂×C₁₃	semidirect
152. #387	C₂×C₁₃	semidirect
153. #387	C₂×C₁₃	semidirect
157. #384	C₂×C₁₃	semidirect
269. C₁₃	#2790	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×#400	2
C₁₃×#398	2
C₁₃×#396	2
C₁₃×#389	2
C₁₃×#388	2
C₁₃×#387	2
C₁₃×#385	2
C₁₃×#384	2
#2790	13

Subgroups — C13×#2790 #13111848

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#2790 #13111848