Subgroups — C₁₃×#13965 #15700304

Order 3328.

2150 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×#385	C₂	1	4	yes	maximal
2	C₂×C₁₃×#380	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
4	C₂²×C₁₃×#95	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#1444	C₂	1	4	yes	maximal, complemented
6	C₁₃×C₄⋊#95	C₂	1	4	yes	maximal, complemented
7	C₂⁴×C₄×C₁₃	C₂²	1	2	yes	—
8	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
9	C₂²×C₁₃×C₄⋊C₄	C₂²	1	8	yes	—
10	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
11	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
12	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
13	C₂²×C₄²×C₁₃	C₂²	1	2	yes	—
14	C₁₃×#385	—	2	16	no	—
15	C₁₃×#380	—	2	4	no	—
16	C₄×C₁₃×C₂²⋊C₄	C₄	1	8	yes	complemented
17	C₂×C₁₃×#95	—	2	4	no	—
18	C₂×C₁₃×#95	C₂²	1	2	yes	—
19	C₂×C₁₃×#95	C₂²	1	2	yes	—
20	C₂×C₁₃×#95	C₂²	1	2	yes	—
21	C₂×C₁₃×#95	C₂²	1	8	yes	—
22	C₂×C₁₃×#95	C₂²	1	2	yes	—
23	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
24	C₂³×C₄×C₁₃	—	2	4	no	—
25	C₂³×C₄×C₁₃	—	2	8	no	—
26	C₂³×C₄×C₁₃	—	2	8	no	—
27	C₂³×C₄×C₁₃	—	4	4	no	—
28	C₂³×C₄×C₁₃	—	4	4	no	—
29	C₂³×C₄×C₁₃	C₂×C₄	1	4	yes	—
30	C₂³×C₄×C₁₃	D₄	1	4	yes	—
31	C₂³×C₄×C₁₃	Q₈	1	4	yes	—
32	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
33	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
34	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
35	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
36	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
37	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
38	C₂×C₁₃×C₄⋊C₄	—	2	16	no	—
39	C₂×C₁₃×C₄⋊C₄	—	2	16	no	—
40	C₂×C₁₃×C₄⋊C₄	—	4	8	no	—
41	C₂×C₁₃×C₄⋊C₄	—	4	4	no	—
42	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
43	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
44	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	8	yes	—
45	C₂×C₁₃×C₂²⋊C₄	D₄	1	8	yes	—
46	C₂×C₁₃×C₂²⋊C₄	Q₈	1	8	yes	—
47	C₂×C₄²×C₁₃	—	4	4	no	—
48	C₂×C₄²×C₁₃	C₂×C₄	1	8	yes	complemented
49	C₁₃×#95	—	2	4	no	—
50	C₁₃×#95	—	2	16	no	—
51	C₁₃×#95	—	2	4	no	—
52	C₁₃×#95	—	2	4	no	—
53	C₁₃×#95	C₂×C₄	1	8	yes	complemented
54	#13965	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
55	C₂⁴×C₁₃	—	2	4	no	—
56	C₂⁴×C₁₃	—	2	4	no	—
57	C₂⁴×C₁₃	C₂²×C₄	1	2	yes	—
58	C₂⁴×C₁₃	C₂×D₄	1	4	yes	—
59	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
60	C₂⁴×C₁₃	C₂×Q₈	1	4	yes	—
61	C₂⁴×C₁₃	C₂×Q₈	1	2	yes	—
62	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
63	C₂²×C₄×C₁₃	—	2	8	no	—
64	C₂²×C₄×C₁₃	—	2	8	no	—
65	C₂²×C₄×C₁₃	—	2	4	no	—
66	C₂²×C₄×C₁₃	—	2	4	no	—
67	C₂²×C₄×C₁₃	—	2	16	no	—
68	C₂²×C₄×C₁₃	—	2	4	no	—
69	C₂²×C₄×C₁₃	—	2	8	no	—
70	C₂²×C₄×C₁₃	—	2	4	no	—
71	C₂²×C₄×C₁₃	—	2	8	no	—
72	C₂²×C₄×C₁₃	—	2	4	no	—
73	C₂²×C₄×C₁₃	—	2	4	no	—
74	C₂²×C₄×C₁₃	—	2	4	no	—
75	C₂²×C₄×C₁₃	—	2	8	no	—
76	C₂²×C₄×C₁₃	—	2	8	no	—
77	C₂²×C₄×C₁₃	—	4	8	no	—
78	C₂²×C₄×C₁₃	—	4	8	no	—
79	C₂²×C₄×C₁₃	—	4	8	no	—
80	C₂²×C₄×C₁₃	—	4	32	no	—
81	C₂²×C₄×C₁₃	—	4	8	no	—
82	C₂²×C₄×C₁₃	—	4	8	no	—
83	C₂²×C₄×C₁₃	C₄⋊C₄	1	16	yes	complemented
84	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
86	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
87	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
89	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₁₃	C₂×Q₈	1	8	yes	—
91	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
92	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
93	C₂²×C₄×C₁₃	#41	1	8	yes	—
94	C₁₃×C₄⋊C₄	—	4	32	no	—
95	C₁₃×C₄⋊C₄	—	4	8	no	—
96	C₁₃×C₂²⋊C₄	—	4	8	no	—
97	C₁₃×C₂²⋊C₄	C₄⋊C₄	1	32	yes	complemented
98	C₄²×C₁₃	—	4	8	no	—
99	C₂×#385	C₂×C₁₃	1	4	yes	—
100	C₂×#380	C₂×C₁₃	1	1	yes	characteristic
101	C₂×C₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic
102	C₂²×#95	C₂×C₁₃	1	1	yes	characteristic
103	#1444	C₂×C₁₃	1	4	yes	complemented
104	C₄⋊#95	C₂×C₁₃	1	4	yes	complemented
105	C₂³×C₁₃	—	2	4	no	—
106	C₂³×C₁₃	—	2	4	no	—
107	C₂³×C₁₃	—	2	4	no	—
108	C₂³×C₁₃	—	2	4	no	—
109	C₂³×C₁₃	—	2	4	no	—
110	C₂³×C₁₃	—	2	4	no	—
111	C₂³×C₁₃	—	2	16	no	—
112	C₂³×C₁₃	—	2	16	no	—
113	C₂³×C₁₃	C₂×C₄⋊C₄	1	8	yes	—
114	C₂³×C₁₃	C₂×C₄⋊C₄	1	4	yes	—
115	C₂³×C₁₃	#127	1	4	yes	—
116	C₂³×C₁₃	C₄⋊Q₈	1	4	yes	—
117	C₂³×C₁₃	C₄⋊Q₈	1	8	yes	—
118	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
119	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
120	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
121	C₂³×C₁₃	C₂²×Q₈	1	1	yes	characteristic
122	C₂³×C₁₃	C₂²×Q₈	1	2	yes	—
123	C₂³×C₁₃	C₂×#41	1	4	yes	—
124	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
125	C₂×C₄×C₁₃	—	2	8	no	—
126	C₂×C₄×C₁₃	—	2	4	no	—
127	C₂×C₄×C₁₃	—	2	8	no	—
128	C₂×C₄×C₁₃	—	2	4	no	—
129	C₂×C₄×C₁₃	—	2	4	no	—
130	C₂×C₄×C₁₃	—	2	4	no	—
131	C₂×C₄×C₁₃	—	2	4	no	—
132	C₂×C₄×C₁₃	—	2	4	no	—
133	C₂×C₄×C₁₃	—	2	16	no	—
134	C₂×C₄×C₁₃	—	2	16	no	—
135	C₂×C₄×C₁₃	—	2	8	no	—
136	C₂×C₄×C₁₃	—	2	16	no	—
137	C₂×C₄×C₁₃	—	4	16	no	—
138	C₂×C₄×C₁₃	—	4	32	no	—
139	C₂×C₄×C₁₃	—	4	4	no	—
140	C₂×C₄×C₁₃	—	4	4	no	—
141	C₂×C₄×C₁₃	—	4	8	no	—
142	C₂×C₄×C₁₃	—	4	4	no	—
143	C₂×C₄×C₁₃	—	4	4	no	—
144	C₂×C₄×C₁₃	—	4	4	no	—
145	C₂×C₄×C₁₃	—	4	8	no	—
146	C₂×C₄×C₁₃	—	4	8	no	—
147	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	16	yes	—
148	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	4	yes	—
149	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	4	yes	—
150	C₂⁴×C₄	C₂²×C₁₃	1	2	yes	—
151	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
152	C₂²×C₄⋊C₄	C₂²×C₁₃	1	8	yes	—
153	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
154	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
155	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
156	C₂²×C₄²	C₂²×C₁₃	1	2	yes	—
157	#385	—	2	16	no	—
158	#380	—	2	4	no	—
159	C₄×C₂²⋊C₄	C₄×C₁₃	1	8	yes	complemented
160	C₂×#95	—	2	4	no	—
161	C₂×#95	C₂²×C₁₃	1	2	yes	—
162	C₂×#95	C₂²×C₁₃	1	2	yes	—
163	C₂×#95	C₂²×C₁₃	1	8	yes	—
164	C₂×#95	C₂²×C₁₃	1	2	yes	—
165	C₂×#95	C₂²×C₁₃	1	2	yes	—
166	C₂²×C₁₃	—	2	4	no	—
167	C₂²×C₁₃	—	2	8	no	—
168	C₂²×C₁₃	—	2	16	no	—
169	C₂²×C₁₃	—	2	8	no	—
170	C₂²×C₁₃	—	2	16	no	—
171	C₂²×C₁₃	—	2	4	no	—
172	C₂²×C₁₃	#384	1	8	yes	—
173	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
174	C₂²×C₁₃	C₂²×C₄⋊C₄	1	2	yes	—
175	C₂²×C₁₃	C₄×#41	1	2	yes	—
176	C₂²×C₁₃	#518	1	2	yes	—
177	C₂²×C₁₃	#525	1	2	yes	—
178	C₂²×C₁₃	C₂×#127	1	1	yes	characteristic
179	C₂²×C₁₃	C₂×C₄⋊Q₈	1	1	yes	characteristic
180	C₂²×C₁₃	C₂×C₄⋊Q₈	1	2	yes	—
181	C₂²×C₁₃	#533	1	2	yes	—
182	C₂²×C₁₃	#534	1	2	yes	—
183	C₂²×C₁₃	#543	1	2	yes	—
184	C₂²×C₁₃	#546	1	8	yes	—
185	C₂²×C₁₃	#554	1	8	yes	—
186	C₄×C₁₃	—	2	4	no	—
187	C₄×C₁₃	—	2	4	no	—
188	C₄×C₁₃	—	2	16	no	—
189	C₄×C₁₃	—	4	8	no	—
190	C₄×C₁₃	—	8	4	no	—
191	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
192	C₂³×C₄	—	2	4	no	—
193	C₂³×C₄	—	2	8	no	—
194	C₂³×C₄	—	2	8	no	—
195	C₂³×C₄	—	4	4	no	—
196	C₂³×C₄	—	4	4	no	—
197	C₂³×C₄	C₂×C₄×C₁₃	1	4	yes	—
198	C₂³×C₄	D₄×C₁₃	1	4	yes	—
199	C₂³×C₄	Q₈×C₁₃	1	4	yes	—
200	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
201	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
202	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
203	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
204	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
205	C₂×C₄⋊C₄	—	2	4	no	—
206	C₂×C₄⋊C₄	—	2	16	no	—
207	C₂×C₄⋊C₄	—	2	16	no	—
208	C₂×C₄⋊C₄	—	4	8	no	—
209	C₂×C₄⋊C₄	—	4	4	no	—
210	C₂×C₂²⋊C₄	—	2	4	no	—
211	C₂×C₂²⋊C₄	—	2	8	no	—
212	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	8	yes	—
213	C₂×C₂²⋊C₄	D₄×C₁₃	1	8	yes	—
214	C₂×C₂²⋊C₄	Q₈×C₁₃	1	8	yes	—
215	C₂×C₄²	—	4	4	no	—
216	C₂×C₄²	C₂×C₄×C₁₃	1	8	yes	complemented
217	#95	—	2	4	no	—
218	#95	—	2	4	no	—
219	#95	—	2	4	no	—
220	#95	—	2	16	no	—
221	#95	C₂×C₄×C₁₃	1	8	yes	complemented
222	C₂×C₁₃	—	2	8	no	—
223	C₂×C₁₃	C₂×#384	1	1	yes	characteristic
224	C₂×C₁₃	#2296	1	1	yes	characteristic
225	C₂×C₁₃	#2315	1	1	yes	characteristic
226	C₂×C₁₃	#2349	1	4	yes	—
227	C₂×C₁₃	#2539	1	2	yes	—
228	C₂×C₁₃	#2549	1	4	yes	—
229	C₂×C₁₃	#2583	1	2	yes	—
230	C₂⁴	—	2	4	no	—
231	C₂⁴	—	2	4	no	—
232	C₂⁴	C₂²×C₄×C₁₃	1	2	yes	—
233	C₂⁴	C₂×D₄×C₁₃	1	4	yes	—
234	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
235	C₂⁴	C₂×Q₈×C₁₃	1	4	yes	—
236	C₂⁴	C₂×Q₈×C₁₃	1	2	yes	—
237	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
238	C₂²×C₄	—	2	8	no	—
239	C₂²×C₄	—	2	8	no	—
240	C₂²×C₄	—	2	4	no	—
241	C₂²×C₄	—	2	4	no	—
242	C₂²×C₄	—	2	16	no	—
243	C₂²×C₄	—	2	4	no	—
244	C₂²×C₄	—	2	8	no	—
245	C₂²×C₄	—	2	4	no	—
246	C₂²×C₄	—	2	8	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	—	2	4	no	—
249	C₂²×C₄	—	2	4	no	—
250	C₂²×C₄	—	2	8	no	—
251	C₂²×C₄	—	2	8	no	—
252	C₂²×C₄	—	4	8	no	—
253	C₂²×C₄	—	4	8	no	—
254	C₂²×C₄	—	4	8	no	—
255	C₂²×C₄	—	4	32	no	—
256	C₂²×C₄	—	4	8	no	—
257	C₂²×C₄	—	4	8	no	—
258	C₂²×C₄	C₁₃×C₄⋊C₄	1	16	yes	complemented
259	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
260	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
261	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
262	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
263	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
264	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
265	C₂²×C₄	C₂×Q₈×C₁₃	1	8	yes	—
266	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
267	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
268	C₂²×C₄	C₁₃×#41	1	8	yes	—
269	C₄⋊C₄	—	4	32	no	—
270	C₄⋊C₄	—	4	8	no	—
271	C₂²⋊C₄	—	4	8	no	—
272	C₂²⋊C₄	C₁₃×C₄⋊C₄	1	32	yes	complemented
273	C₄²	—	4	8	no	—
274	C₁₃	#13965	1	1	yes	characteristic, direct product factor, Sylow
275	C₂³	—	2	4	no	—
276	C₂³	—	2	4	no	—
277	C₂³	—	2	4	no	—
278	C₂³	—	2	4	no	—
279	C₂³	—	2	4	no	—
280	C₂³	—	2	4	no	—
281	C₂³	—	2	16	no	—
282	C₂³	—	2	16	no	—
283	C₂³	C₂×C₁₃×C₄⋊C₄	1	8	yes	—
284	C₂³	C₂×C₁₃×C₄⋊C₄	1	4	yes	—
285	C₂³	C₁₃×#127	1	4	yes	—
286	C₂³	C₁₃×C₄⋊Q₈	1	8	yes	—
287	C₂³	C₁₃×C₄⋊Q₈	1	4	yes	—
288	C₂³	C₂³×C₄×C₁₃	1	1	yes	characteristic
289	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
290	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
291	C₂³	C₂²×Q₈×C₁₃	1	1	yes	characteristic
292	C₂³	C₂²×Q₈×C₁₃	1	2	yes	—
293	C₂³	C₂×C₁₃×#41	1	4	yes	—
294	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
295	C₂×C₄	—	2	8	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	2	8	no	—
298	C₂×C₄	—	2	4	no	—
299	C₂×C₄	—	2	4	no	—
300	C₂×C₄	—	2	4	no	—
301	C₂×C₄	—	2	4	no	—
302	C₂×C₄	—	2	4	no	—
303	C₂×C₄	—	2	16	no	—
304	C₂×C₄	—	2	16	no	—
305	C₂×C₄	—	2	8	no	—
306	C₂×C₄	—	2	16	no	—
307	C₂×C₄	—	4	16	no	—
308	C₂×C₄	—	4	32	no	—
309	C₂×C₄	—	4	4	no	—
310	C₂×C₄	—	4	4	no	—
311	C₂×C₄	—	4	8	no	—
312	C₂×C₄	—	4	4	no	—
313	C₂×C₄	—	4	4	no	—
314	C₂×C₄	—	4	4	no	—
315	C₂×C₄	—	4	8	no	—
316	C₂×C₄	—	4	8	no	—
317	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	16	yes	—
318	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	4	yes	—
319	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	4	yes	—
320	C₂²	—	2	8	no	—
321	C₂²	—	2	16	no	—
322	C₂²	—	2	4	no	—
323	C₂²	—	2	4	no	—
324	C₂²	—	2	8	no	—
325	C₂²	—	2	16	no	—
326	C₂²	C₁₃×#384	1	8	yes	—
327	C₂²	C₂²×C₁₃×C₄⋊C₄	1	1	yes	characteristic
328	C₂²	C₂²×C₁₃×C₄⋊C₄	1	2	yes	—
329	C₂²	C₄×C₁₃×#41	1	2	yes	—
330	C₂²	C₁₃×#518	1	2	yes	—
331	C₂²	C₁₃×#525	1	2	yes	—
332	C₂²	C₂×C₁₃×#127	1	1	yes	characteristic
333	C₂²	C₂×C₁₃×C₄⋊Q₈	1	2	yes	—
334	C₂²	C₂×C₁₃×C₄⋊Q₈	1	1	yes	characteristic
335	C₂²	C₁₃×#533	1	2	yes	—
336	C₂²	C₁₃×#534	1	2	yes	—
337	C₂²	C₁₃×#543	1	2	yes	—
338	C₂²	C₁₃×#546	1	8	yes	—
339	C₂²	C₁₃×#554	1	8	yes	—
340	C₄	—	2	4	no	—
341	C₄	—	2	4	no	—
342	C₄	—	2	16	no	—
343	C₄	—	4	8	no	—
344	C₄	—	8	4	no	—
345	C₂	—	2	8	no	—
346	C₂	C₂×C₁₃×#384	1	1	yes	characteristic
347	C₂	C₁₃×#2296	1	1	yes	characteristic
348	C₂	C₁₃×#2315	1	1	yes	characteristic
349	C₂	C₁₃×#2349	1	4	yes	—
350	C₂	C₁₃×#2539	1	2	yes	—
351	C₂	C₁₃×#2549	1	4	yes	—
352	C₂	C₁₃×#2583	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
5. C₁₃×#1444	C₂	semidirect
6. C₁₃×C₄⋊#95	C₂	semidirect
16. C₄×C₁₃×C₂²⋊C₄	C₄	semidirect
48. C₂×C₄²×C₁₃	C₂×C₄	semidirect
53. C₁₃×#95	C₂×C₄	semidirect
54. #13965	C₁₃	direct (N × H)
83. C₂²×C₄×C₁₃	C₄⋊C₄	semidirect
97. C₁₃×C₂²⋊C₄	C₄⋊C₄	semidirect
103. #1444	C₂×C₁₃	semidirect
104. C₄⋊#95	C₂×C₁₃	semidirect
159. C₄×C₂²⋊C₄	C₄×C₁₃	semidirect
216. C₂×C₄²	C₂×C₄×C₁₃	semidirect
221. #95	C₂×C₄×C₁₃	semidirect
258. C₂²×C₄	C₁₃×C₄⋊C₄	semidirect
272. C₂²⋊C₄	C₁₃×C₄⋊C₄	semidirect
274. C₁₃	#13965	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×#385	2
C₂×C₁₃×#380	2
C₂×C₄×C₁₃×C₂²⋊C₄	2
C₂²×C₁₃×#95	2
C₁₃×#1444	2
C₁₃×C₄⋊#95	2
#13965	13

Subgroups — C13×#13965 #15700304

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#13965 #15700304