Subgroups — C₁₃×#36639 #15722978

Order 3328.

2782 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#532	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2862	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2861	C₂	1	4	yes	maximal, complemented
5	C₁₃×#2858	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2850	C₂	1	8	yes	maximal, complemented
7	C₄×C₁₃×#124	C₂	1	8	yes	maximal, complemented
8	C₁₃×#2297	C₂	1	4	yes	maximal, complemented
9	C₂×C₄³×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×C₁₃×#41	C₂²	1	2	yes	—
11	C₁₃×#533	—	2	8	no	—
12	C₁₃×#532	—	2	8	no	—
13	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
14	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
15	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×#125	C₂²	1	2	yes	—
17	C₂×C₁₃×#124	C₂²	1	8	yes	—
18	C₂×C₁₃×#124	C₂²	1	2	yes	—
19	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
20	C₂×C₁₃×#121	C₂²	1	4	yes	—
21	C₂×C₄×Q₈×C₁₃	C₂²	1	4	yes	—
22	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
23	C₂×C₁₃×#117	C₂²	1	2	yes	—
24	C₂²×C₄²×C₁₃	C₂²	1	2	yes	—
25	C₂²×C₄²×C₁₃	C₂²	1	4	yes	—
26	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#391	C₂²	1	8	yes	—
28	C₁₃×#391	C₂²	1	8	yes	—
29	C₁₃×#390	C₂²	1	8	yes	—
30	C₁₃×#390	C₂²	1	8	yes	—
31	C₁₃×#388	C₂²	1	32	yes	—
32	C₁₃×#386	C₂²	1	16	yes	—
33	C₁₃×#382	C₂²	1	8	yes	—
34	C₄×C₁₃×C₂²⋊C₄	C₂²	1	16	yes	—
35	C₄³×C₁₃	C₂²	1	4	yes	—
36	C₄³×C₁₃	C₂²	1	2	yes	—
37	C₄³×C₁₃	C₂²	1	2	yes	—
38	C₂×C₁₃×#41	—	2	8	no	—
39	C₂×C₁₃×#41	—	2	16	no	—
40	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
41	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
42	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
43	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
44	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
45	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
46	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
47	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
48	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
49	C₁₃×C₄⋊Q₈	—	2	4	no	—
50	C₁₃×C₄⋊Q₈	—	2	8	no	—
51	C₁₃×#127	—	2	4	no	—
52	C₁₃×#125	—	2	8	no	—
53	C₁₃×#124	—	2	8	no	—
54	C₁₃×#124	—	2	32	no	—
55	C₁₃×C₂²⋊Q₈	—	2	16	no	—
56	C₁₃×#121	—	2	16	no	—
57	C₄×Q₈×C₁₃	—	2	16	no	—
58	C₄×D₄×C₁₃	—	2	16	no	—
59	C₁₃×#117	—	2	8	no	—
60	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
61	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
62	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
63	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
64	C₂×C₁₃×C₂²⋊C₄	C₂³	1	32	yes	—
65	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
66	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
67	C₂×C₄²×C₁₃	—	2	8	no	—
68	C₂×C₄²×C₁₃	—	2	16	no	—
69	C₂×C₄²×C₁₃	D₄	1	8	yes	—
70	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
71	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
72	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
73	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
74	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
75	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
76	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
77	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
78	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
79	C₁₃×#95	C₂³	1	32	yes	—
80	#36639	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
81	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
82	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
83	C₁₃×#41	—	4	32	no	—
84	C₂×Q₈×C₁₃	—	2	8	no	—
85	C₂×Q₈×C₁₃	—	2	4	no	—
86	C₂×Q₈×C₁₃	—	2	16	no	—
87	C₂×Q₈×C₁₃	—	2	8	no	—
88	C₂×D₄×C₁₃	—	2	8	no	—
89	C₂×D₄×C₁₃	—	2	16	no	—
90	C₂×D₄×C₁₃	—	2	8	no	—
91	C₂×D₄×C₁₃	—	2	4	no	—
92	C₂×D₄×C₁₃	—	2	16	no	—
93	C₂×D₄×C₁₃	—	2	8	no	—
94	C₂²×C₄×C₁₃	—	2	8	no	—
95	C₂²×C₄×C₁₃	—	2	16	no	—
96	C₂²×C₄×C₁₃	—	2	8	no	—
97	C₂²×C₄×C₁₃	—	2	8	no	—
98	C₂²×C₄×C₁₃	—	2	16	no	—
99	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
100	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
101	C₂²×C₄×C₁₃	#41	1	8	yes	—
102	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
103	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
104	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
105	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
106	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
107	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
108	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
109	C₁₃×C₄⋊C₄	—	2	8	no	—
110	C₁₃×C₄⋊C₄	—	2	8	no	—
111	C₁₃×C₄⋊C₄	—	2	16	no	—
112	C₁₃×C₄⋊C₄	—	2	8	no	—
113	C₁₃×C₂²⋊C₄	—	2	8	no	—
114	C₁₃×C₂²⋊C₄	—	2	16	no	—
115	C₁₃×C₂²⋊C₄	—	2	64	no	—
116	C₄²×C₁₃	—	2	8	no	—
117	C₄²×C₁₃	—	2	16	no	—
118	C₄²×C₁₃	—	2	8	no	—
119	C₄²×C₁₃	—	2	8	no	—
120	C₄²×C₁₃	—	2	8	no	—
121	C₄²×C₁₃	C₂×D₄	1	8	yes	—
122	C₄²×C₁₃	C₂×D₄	1	4	yes	—
123	C₄²×C₁₃	C₂×D₄	1	4	yes	—
124	C₄²×C₁₃	#41	1	16	yes	complemented
125	C₂×#533	C₂×C₁₃	1	1	yes	characteristic, complemented
126	C₂×#532	C₂×C₁₃	1	1	yes	characteristic
127	#2862	C₂×C₁₃	1	2	yes	complemented
128	#2861	C₂×C₁₃	1	4	yes	complemented
129	#2858	C₂×C₁₃	1	2	yes	complemented
130	#2850	C₂×C₁₃	1	8	yes	complemented
131	C₄×#124	C₂×C₁₃	1	8	yes	complemented
132	#2297	C₂×C₁₃	1	4	yes	complemented
133	C₂×C₄³	C₂×C₁₃	1	1	yes	characteristic, complemented
134	C₂³×C₁₃	—	2	4	no	—
135	C₂³×C₁₃	—	2	4	no	—
136	C₂³×C₁₃	—	2	16	no	—
137	C₂³×C₁₃	—	2	8	no	—
138	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
139	C₂³×C₁₃	C₂×#41	1	4	yes	—
140	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
141	Q₈×C₁₃	—	4	8	no	—
142	Q₈×C₁₃	—	4	16	no	—
143	D₄×C₁₃	—	4	16	no	—
144	D₄×C₁₃	—	4	8	no	—
145	D₄×C₁₃	—	4	16	no	—
146	C₂×C₄×C₁₃	—	2	32	no	—
147	C₂×C₄×C₁₃	—	2	4	no	—
148	C₂×C₄×C₁₃	—	2	8	no	—
149	C₂×C₄×C₁₃	—	2	8	no	—
150	C₂×C₄×C₁₃	—	2	16	no	—
151	C₂×C₄×C₁₃	—	2	8	no	—
152	C₂×C₄×C₁₃	—	2	4	no	—
153	C₂×C₄×C₁₃	—	2	16	no	—
154	C₂×C₄×C₁₃	—	2	8	no	—
155	C₂×C₄×C₁₃	—	4	16	no	—
156	C₂×C₄×C₁₃	#124	1	16	yes	complemented
157	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
158	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
159	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
160	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
161	C₂×C₄×C₁₃	C₂×#41	1	16	yes	—
162	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
163	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
164	C₂×C₄×C₁₃	C₂×#41	1	8	yes	—
165	C₂²×#41	C₂²×C₁₃	1	2	yes	—
166	#533	—	2	8	no	—
167	#532	—	2	8	no	—
168	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
169	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
170	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
171	C₂×#125	C₂²×C₁₃	1	2	yes	—
172	C₂×#124	C₂²×C₁₃	1	8	yes	—
173	C₂×#124	C₂²×C₁₃	1	2	yes	—
174	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
175	C₂×#121	C₂²×C₁₃	1	4	yes	—
176	C₂×C₄×Q₈	C₂²×C₁₃	1	4	yes	—
177	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
178	C₂×#117	C₂²×C₁₃	1	2	yes	—
179	C₂²×C₄²	C₂²×C₁₃	1	4	yes	—
180	C₂²×C₄²	C₂²×C₁₃	1	2	yes	—
181	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
182	#391	C₂²×C₁₃	1	8	yes	—
183	#391	C₂²×C₁₃	1	8	yes	—
184	#390	C₂²×C₁₃	1	8	yes	—
185	#390	C₂²×C₁₃	1	8	yes	—
186	#388	C₂²×C₁₃	1	32	yes	—
187	#386	C₂²×C₁₃	1	16	yes	—
188	#382	C₂²×C₁₃	1	8	yes	—
189	C₄×C₂²⋊C₄	C₂²×C₁₃	1	16	yes	—
190	C₄³	C₂²×C₁₃	1	2	yes	—
191	C₄³	C₂²×C₁₃	1	2	yes	—
192	C₄³	C₂²×C₁₃	1	4	yes	—
193	C₂²×C₁₃	—	2	4	no	—
194	C₂²×C₁₃	—	2	8	no	—
195	C₂²×C₁₃	—	4	4	no	—
196	C₂²×C₁₃	—	4	8	no	—
197	C₂²×C₁₃	—	4	16	no	—
198	C₂²×C₁₃	C₂×#124	1	4	yes	—
199	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
200	C₂²×C₁₃	C₂²×#41	1	2	yes	—
201	C₂²×C₁₃	C₂²×#41	1	4	yes	—
202	C₄×C₁₃	—	2	4	no	—
203	C₄×C₁₃	—	2	16	no	—
204	C₄×C₁₃	—	4	4	no	—
205	C₄×C₁₃	—	4	8	no	—
206	C₄×C₁₃	C₂×#124	1	4	yes	—
207	C₄×C₁₃	C₂×#124	1	4	yes	—
208	C₄×C₁₃	#532	1	8	yes	—
209	C₂×#41	—	2	8	no	—
210	C₂×#41	—	2	16	no	—
211	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
212	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
213	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
214	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
215	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
216	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
217	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
218	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
219	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
220	C₄⋊Q₈	—	2	4	no	—
221	C₄⋊Q₈	—	2	8	no	—
222	#127	—	2	4	no	—
223	#125	—	2	8	no	—
224	#124	—	2	8	no	—
225	#124	—	2	32	no	—
226	C₂²⋊Q₈	—	2	16	no	—
227	#121	—	2	16	no	—
228	C₄×Q₈	—	2	16	no	—
229	C₄×D₄	—	2	16	no	—
230	#117	—	2	8	no	—
231	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
232	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
233	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
234	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
235	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
236	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
237	C₂×C₂²⋊C₄	C₂³×C₁₃	1	32	yes	—
238	C₂×C₄²	—	2	8	no	—
239	C₂×C₄²	—	2	16	no	—
240	C₂×C₄²	D₄×C₁₃	1	8	yes	—
241	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
242	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
243	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
244	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
245	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
246	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
247	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
248	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
249	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
250	#95	C₂³×C₁₃	1	32	yes	—
251	C₂×C₁₃	—	2	4	no	—
252	C₂×C₁₃	—	8	4	no	—
253	C₂×C₁₃	C₂²×#124	1	1	yes	characteristic
254	C₂×C₁₃	C₂×#532	1	2	yes	—
255	C₂×C₁₃	#3444	1	4	yes	—
256	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
257	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
258	#41	—	4	32	no	—
259	C₂×Q₈	—	2	8	no	—
260	C₂×Q₈	—	2	4	no	—
261	C₂×Q₈	—	2	16	no	—
262	C₂×Q₈	—	2	8	no	—
263	C₂×D₄	—	2	8	no	—
264	C₂×D₄	—	2	16	no	—
265	C₂×D₄	—	2	8	no	—
266	C₂×D₄	—	2	4	no	—
267	C₂×D₄	—	2	16	no	—
268	C₂×D₄	—	2	8	no	—
269	C₂²×C₄	—	2	8	no	—
270	C₂²×C₄	—	2	16	no	—
271	C₂²×C₄	—	2	8	no	—
272	C₂²×C₄	—	2	8	no	—
273	C₂²×C₄	—	2	16	no	—
274	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
275	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
276	C₂²×C₄	C₁₃×#41	1	8	yes	—
277	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
278	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
279	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
280	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
281	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
282	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
283	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
284	C₄⋊C₄	—	2	8	no	—
285	C₄⋊C₄	—	2	8	no	—
286	C₄⋊C₄	—	2	16	no	—
287	C₄⋊C₄	—	2	8	no	—
288	C₂²⋊C₄	—	2	8	no	—
289	C₂²⋊C₄	—	2	16	no	—
290	C₂²⋊C₄	—	2	64	no	—
291	C₄²	—	2	8	no	—
292	C₄²	—	2	16	no	—
293	C₄²	—	2	8	no	—
294	C₄²	—	2	8	no	—
295	C₄²	—	2	8	no	—
296	C₄²	C₂×D₄×C₁₃	1	8	yes	—
297	C₄²	C₂×D₄×C₁₃	1	4	yes	—
298	C₄²	C₂×D₄×C₁₃	1	4	yes	—
299	C₄²	C₁₃×#41	1	16	yes	complemented
300	C₁₃	#36639	1	1	yes	characteristic, direct product factor, Sylow
301	C₂³	—	2	4	no	—
302	C₂³	—	2	4	no	—
303	C₂³	—	2	16	no	—
304	C₂³	—	2	8	no	—
305	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
306	C₂³	C₂×C₁₃×#41	1	4	yes	—
307	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
308	Q₈	—	4	8	no	—
309	Q₈	—	4	16	no	—
310	D₄	—	4	16	no	—
311	D₄	—	4	8	no	—
312	D₄	—	4	16	no	—
313	C₂×C₄	—	2	32	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	2	8	no	—
316	C₂×C₄	—	2	8	no	—
317	C₂×C₄	—	2	16	no	—
318	C₂×C₄	—	2	8	no	—
319	C₂×C₄	—	2	4	no	—
320	C₂×C₄	—	2	16	no	—
321	C₂×C₄	—	2	8	no	—
322	C₂×C₄	—	4	16	no	—
323	C₂×C₄	C₁₃×#124	1	16	yes	complemented
324	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
325	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
326	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
327	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
328	C₂×C₄	C₂×C₁₃×#41	1	16	yes	—
329	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
330	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
331	C₂×C₄	C₂×C₁₃×#41	1	8	yes	—
332	C₂²	—	2	4	no	—
333	C₂²	—	2	8	no	—
334	C₂²	—	4	4	no	—
335	C₂²	—	4	8	no	—
336	C₂²	—	4	16	no	—
337	C₂²	C₂×C₁₃×#124	1	4	yes	—
338	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
339	C₂²	C₂²×C₁₃×#41	1	2	yes	—
340	C₂²	C₂²×C₁₃×#41	1	4	yes	—
341	C₄	—	2	4	no	—
342	C₄	—	2	16	no	—
343	C₄	—	4	4	no	—
344	C₄	—	4	8	no	—
345	C₄	C₂×C₁₃×#124	1	4	yes	—
346	C₄	C₂×C₁₃×#124	1	4	yes	—
347	C₄	C₁₃×#532	1	8	yes	—
348	C₂	—	2	4	no	—
349	C₂	—	8	4	no	—
350	C₂	C₂²×C₁₃×#124	1	1	yes	characteristic
351	C₂	C₂×C₁₃×#532	1	2	yes	—
352	C₂	C₁₃×#3444	1	4	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₃	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂×C₁₃×#532	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#533	C₂	semidirect
3. C₁₃×#2862	C₂	semidirect
4. C₁₃×#2861	C₂	semidirect
5. C₁₃×#2858	C₂	semidirect
6. C₁₃×#2850	C₂	semidirect
7. C₄×C₁₃×#124	C₂	semidirect
8. C₁₃×#2297	C₂	semidirect
9. C₂×C₄³×C₁₃	C₂	semidirect
80. #36639	C₁₃	direct (N × H)
124. C₄²×C₁₃	#41	semidirect
125. C₂×#533	C₂×C₁₃	semidirect
127. #2862	C₂×C₁₃	semidirect
128. #2861	C₂×C₁₃	semidirect
129. #2858	C₂×C₁₃	semidirect
130. #2850	C₂×C₁₃	semidirect
131. C₄×#124	C₂×C₁₃	semidirect
132. #2297	C₂×C₁₃	semidirect
133. C₂×C₄³	C₂×C₁₃	semidirect
156. C₂×C₄×C₁₃	#124	semidirect
299. C₄²	C₁₃×#41	semidirect
300. C₁₃	#36639	direct (N × H)
323. C₂×C₄	C₁₃×#124	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#533	2
C₂×C₁₃×#532	2
C₁₃×#2862	2
C₁₃×#2861	2
C₁₃×#2858	2
C₁₃×#2850	2
C₄×C₁₃×#124	2
C₁₃×#2297	2
C₂×C₄³×C₁₃	2
#36639	13

Subgroups — C13×#36639 #15722978

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36639 #15722978