Subgroups — C₂×C₁₃×#3359 #15747635

Order 3328.

2058 conjugacy classes of subgroups.

The subgroup lattice has 332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3359	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₃×#487	C₂	1	3	yes	maximal, complemented
5	C₂×C₁₃×#475	C₂	1	3	yes	maximal, complemented
6	C₂×C₁₃×#461	C₂	1	3	yes	maximal
7	C₂×C₈×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×C₁₃×SD₁₆	C₂	1	3	yes	maximal
9	C₂³×Q₈×C₁₃	—	2	1	no	—
10	C₂²×C₁₃×SD₁₆	C₂²	1	3	yes	—
11	C₁₃×#557	—	2	4	no	—
12	C₁₃×#557	C₂²	1	8	yes	complemented
13	D₄×Q₈×C₁₃	—	2	4	no	—
14	D₄×Q₈×C₁₃	C₂²	1	8	yes	—
15	C₂×C₁₃×C₄⋊Q₈	C₂²	1	3	yes	—
16	C₂×C₁₃×C₄⋊Q₈	C₂²	1	3	yes	—
17	C₂×C₁₃×#125	—	2	3	no	—
18	C₂×C₁₃×C₂²⋊Q₈	—	2	3	no	—
19	C₂×C₄×Q₈×C₁₃	—	2	1	no	—
20	C₂×C₄×Q₈×C₁₃	C₂²	1	3	yes	—
21	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
22	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	—
23	C₁₃×#487	C₂²	1	24	yes	complemented
24	C₁₃×#475	C₂²	1	24	yes	complemented
25	C₁₃×#461	C₂²	1	24	yes	—
26	C₈×Q₈×C₁₃	C₂²	1	8	yes	complemented
27	C₄×C₁₃×SD₁₆	C₂²	1	24	yes	—
28	C₂×C₁₃×#106	C₂²	1	3	yes	—
29	C₂×C₁₃×C₄⋊C₈	C₂²	1	3	yes	—
30	C₂×C₁₃×#103	C₂²	1	6	yes	—
31	C₂×C₁₃×#103	C₂²	1	3	yes	—
32	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₈×C₁₃	C₂²	1	3	yes	—
34	C₂²×Q₈×C₁₃	—	2	8	no	—
35	C₂²×Q₈×C₁₃	—	2	3	no	—
36	C₂²×Q₈×C₁₃	—	4	8	no	—
37	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
38	C₂²×Q₈×C₁₃	C₂³	1	3	yes	—
39	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
40	C₂³×C₄×C₁₃	—	2	3	no	—
41	C₂×C₁₃×SD₁₆	—	2	12	no	—
42	C₂×C₁₃×SD₁₆	C₂³	1	12	yes	—
43	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
44	C₂²×C₈×C₁₃	C₂³	1	3	yes	—
45	C₁₃×C₄⋊Q₈	—	2	6	no	—
46	C₁₃×C₄⋊Q₈	—	2	6	no	—
47	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
48	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
49	C₁₃×#125	—	2	24	no	—
50	C₁₃×C₂²⋊Q₈	—	2	24	no	—
51	C₄×Q₈×C₁₃	—	2	8	no	—
52	C₄×Q₈×C₁₃	—	2	6	no	—
53	C₄×Q₈×C₁₃	D₄	1	4	yes	—
54	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
55	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
56	C₄×D₄×C₁₃	—	2	6	no	—
57	C₄×D₄×C₁₃	C₂³	1	12	yes	—
58	C₂×C₁₃×C₄⋊C₄	—	2	3	no	—
59	C₂×C₁₃×C₄⋊C₄	—	2	3	no	—
60	C₂×C₁₃×C₄⋊C₄	—	2	3	no	—
61	C₂×C₁₃×C₄⋊C₄	—	2	3	no	—
62	C₂×C₁₃×C₄⋊C₄	D₄	1	3	yes	—
63	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
64	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
65	C₂×C₁₃×C₂²⋊C₄	—	2	3	no	—
66	C₂×C₄²×C₁₃	—	2	3	no	—
67	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
68	C₁₃×#106	C₂³	1	12	yes	—
69	C₁₃×C₄⋊C₈	C₂³	1	12	yes	—
70	C₁₃×#103	C₂³	1	12	yes	—
71	C₁₃×#103	C₂³	1	24	yes	—
72	C₁₃×#102	C₂³	1	4	yes	—
73	C₄×C₈×C₁₃	C₂³	1	12	yes	—
74	C₂×#3359	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
75	C₂⁴×C₁₃	—	2	1	no	—
76	C₂×Q₈×C₁₃	—	2	3	no	—
77	C₂×Q₈×C₁₃	—	2	12	no	—
78	C₂×Q₈×C₁₃	—	2	6	no	—
79	C₂×Q₈×C₁₃	—	2	6	no	—
80	C₂×Q₈×C₁₃	—	4	32	no	—
81	C₂×Q₈×C₁₃	—	4	12	no	—
82	C₂×Q₈×C₁₃	SD₁₆	1	8	yes	complemented
83	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	—
84	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
85	C₂×D₄×C₁₃	—	2	1	no	—
86	C₂×D₄×C₁₃	—	2	2	no	—
87	C₂×D₄×C₁₃	#41	1	4	yes	—
88	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
89	C₂²×C₄×C₁₃	—	2	1	no	—
90	C₂²×C₄×C₁₃	—	2	3	no	—
91	C₂²×C₄×C₁₃	—	2	3	no	—
92	C₂²×C₄×C₁₃	—	2	12	no	—
93	C₂²×C₄×C₁₃	—	4	12	no	—
94	C₂²×C₄×C₁₃	C₂×D₄	1	3	yes	—
95	C₂²×C₄×C₁₃	C₂×D₄	1	3	yes	—
96	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
97	C₁₃×SD₁₆	—	2	24	no	—
98	C₂×C₈×C₁₃	—	2	6	no	—
99	C₂×C₈×C₁₃	—	2	2	no	—
100	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
101	C₂×C₈×C₁₃	C₂⁴	1	6	yes	—
102	C₁₃×C₄⋊C₄	—	2	12	no	—
103	C₁₃×C₄⋊C₄	—	2	12	no	—
104	C₁₃×C₄⋊C₄	—	2	12	no	—
105	C₁₃×C₄⋊C₄	—	2	12	no	—
106	C₁₃×C₄⋊C₄	—	2	3	no	—
107	C₁₃×C₄⋊C₄	—	2	1	no	—
108	C₁₃×C₄⋊C₄	C₂×D₄	1	12	yes	—
109	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
110	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
111	C₁₃×C₂²⋊C₄	—	2	12	no	—
112	C₄²×C₁₃	—	2	12	no	—
113	C₄²×C₁₃	C₂×D₄	1	6	yes	—
114	C₄²×C₁₃	C₂⁴	1	6	yes	—
115	C₂×#557	C₂×C₁₃	1	1	yes	characteristic, complemented
116	C₂×D₄×Q₈	C₂×C₁₃	1	1	yes	characteristic
117	#3359	C₂×C₁₃	1	16	yes	direct product factor
118	C₂×#487	C₂×C₁₃	1	3	yes	complemented
119	C₂×#475	C₂×C₁₃	1	3	yes	complemented
120	C₂×#461	C₂×C₁₃	1	3	yes	—
121	C₂×C₈×Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
122	C₂×C₄×SD₁₆	C₂×C₁₃	1	3	yes	—
123	C₂³×C₁₃	—	2	4	no	—
124	C₂³×C₁₃	—	2	2	no	—
125	C₂³×C₁₃	—	4	2	no	—
126	C₂³×C₁₃	—	4	2	no	—
127	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
128	Q₈×C₁₃	—	2	6	no	—
129	Q₈×C₁₃	—	2	6	no	—
130	Q₈×C₁₃	—	4	6	no	—
131	Q₈×C₁₃	—	4	24	no	—
132	Q₈×C₁₃	C₂×SD₁₆	1	16	yes	complemented
133	D₄×C₁₃	—	2	4	no	—
134	D₄×C₁₃	—	2	2	no	—
135	D₄×C₁₃	C₂×#41	1	4	yes	—
136	C₂×C₄×C₁₃	—	2	6	no	—
137	C₂×C₄×C₁₃	—	2	2	no	—
138	C₂×C₄×C₁₃	—	2	6	no	—
139	C₂×C₄×C₁₃	—	2	6	no	—
140	C₂×C₄×C₁₃	—	4	6	no	—
141	C₂×C₄×C₁₃	—	4	6	no	—
142	C₂×C₄×C₁₃	—	4	2	no	—
143	C₂×C₄×C₁₃	—	4	24	no	—
144	C₂×C₄×C₁₃	C₂×SD₁₆	1	12	yes	—
145	C₂×C₄×C₁₃	C₂²×D₄	1	6	yes	—
146	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₃	C₂²×D₄	1	6	yes	—
148	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
149	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
150	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
151	C₈×C₁₃	—	2	6	no	—
152	C₈×C₁₃	—	2	2	no	—
153	C₂³×Q₈	—	2	1	no	—
154	C₂²×SD₁₆	C₂²×C₁₃	1	3	yes	—
155	#557	—	2	4	no	—
156	#557	C₂²×C₁₃	1	8	yes	complemented
157	D₄×Q₈	—	2	4	no	—
158	D₄×Q₈	C₂²×C₁₃	1	8	yes	—
159	C₂×C₄⋊Q₈	C₂²×C₁₃	1	3	yes	—
160	C₂×C₄⋊Q₈	C₂²×C₁₃	1	3	yes	—
161	C₂×#125	—	2	3	no	—
162	C₂×C₂²⋊Q₈	—	2	3	no	—
163	C₂×C₄×Q₈	—	2	1	no	—
164	C₂×C₄×Q₈	C₂²×C₁₃	1	3	yes	—
165	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
166	C₂×C₄×D₄	C₂²×C₁₃	1	3	yes	—
167	#487	C₂²×C₁₃	1	24	yes	complemented
168	#475	C₂²×C₁₃	1	24	yes	complemented
169	#461	C₂²×C₁₃	1	24	yes	—
170	C₈×Q₈	C₂²×C₁₃	1	8	yes	complemented
171	C₄×SD₁₆	C₂²×C₁₃	1	24	yes	—
172	C₂×#106	C₂²×C₁₃	1	3	yes	—
173	C₂×C₄⋊C₈	C₂²×C₁₃	1	3	yes	—
174	C₂×#103	C₂²×C₁₃	1	6	yes	—
175	C₂×#103	C₂²×C₁₃	1	3	yes	—
176	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
177	C₂×C₄×C₈	C₂²×C₁₃	1	3	yes	—
178	C₂²×C₁₃	—	2	4	no	—
179	C₂²×C₁₃	—	4	8	no	—
180	C₂²×C₁₃	—	4	2	no	—
181	C₂²×C₁₃	—	4	2	no	—
182	C₂²×C₁₃	#548	1	2	yes	—
183	C₂²×C₁₃	C₂²×SD₁₆	1	2	yes	—
184	C₂²×C₁₃	#578	1	2	yes	—
185	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
186	C₄×C₁₃	—	2	6	no	—
187	C₄×C₁₃	—	4	6	no	—
188	C₄×C₁₃	—	4	6	no	—
189	C₄×C₁₃	—	4	2	no	—
190	C₄×C₁₃	#548	1	2	yes	—
191	C₄×C₁₃	C₂²×SD₁₆	1	12	yes	—
192	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
193	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
194	C₂²×Q₈	—	2	8	no	—
195	C₂²×Q₈	—	2	3	no	—
196	C₂²×Q₈	—	4	8	no	—
197	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
198	C₂²×Q₈	C₂³×C₁₃	1	3	yes	—
199	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
200	C₂³×C₄	—	2	3	no	—
201	C₂×SD₁₆	—	2	12	no	—
202	C₂×SD₁₆	C₂³×C₁₃	1	12	yes	—
203	C₂²×C₈	C₂³×C₁₃	1	3	yes	—
204	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
205	C₄⋊Q₈	—	2	6	no	—
206	C₄⋊Q₈	—	2	6	no	—
207	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
208	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
209	#125	—	2	24	no	—
210	C₂²⋊Q₈	—	2	24	no	—
211	C₄×Q₈	—	2	8	no	—
212	C₄×Q₈	—	2	6	no	—
213	C₄×Q₈	D₄×C₁₃	1	4	yes	—
214	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
215	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
216	C₄×D₄	—	2	6	no	—
217	C₄×D₄	C₂³×C₁₃	1	12	yes	—
218	C₂×C₄⋊C₄	—	2	3	no	—
219	C₂×C₄⋊C₄	—	2	3	no	—
220	C₂×C₄⋊C₄	—	2	3	no	—
221	C₂×C₄⋊C₄	—	2	3	no	—
222	C₂×C₄⋊C₄	D₄×C₁₃	1	3	yes	—
223	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
224	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
225	C₂×C₂²⋊C₄	—	2	3	no	—
226	C₂×C₄²	—	2	3	no	—
227	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
228	#106	C₂³×C₁₃	1	12	yes	—
229	C₄⋊C₈	C₂³×C₁₃	1	12	yes	—
230	#103	C₂³×C₁₃	1	12	yes	—
231	#103	C₂³×C₁₃	1	24	yes	—
232	#102	C₂³×C₁₃	1	4	yes	—
233	C₄×C₈	C₂³×C₁₃	1	12	yes	—
234	C₂×C₁₃	—	4	4	no	—
235	C₂×C₁₃	#3359	1	4	yes	direct product factor
236	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
237	C₂×C₁₃	C₂³×SD₁₆	1	1	yes	characteristic
238	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
239	C₂⁴	—	2	1	no	—
240	C₂×Q₈	—	2	3	no	—
241	C₂×Q₈	—	2	12	no	—
242	C₂×Q₈	—	2	6	no	—
243	C₂×Q₈	—	2	6	no	—
244	C₂×Q₈	—	4	32	no	—
245	C₂×Q₈	—	4	12	no	—
246	C₂×Q₈	C₁₃×SD₁₆	1	8	yes	complemented
247	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	—
248	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
249	C₂×D₄	—	2	1	no	—
250	C₂×D₄	—	2	2	no	—
251	C₂×D₄	C₁₃×#41	1	4	yes	—
252	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
253	C₂²×C₄	—	2	1	no	—
254	C₂²×C₄	—	2	3	no	—
255	C₂²×C₄	—	2	3	no	—
256	C₂²×C₄	—	2	12	no	—
257	C₂²×C₄	—	4	12	no	—
258	C₂²×C₄	C₂×D₄×C₁₃	1	3	yes	—
259	C₂²×C₄	C₂×D₄×C₁₃	1	3	yes	—
260	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
261	SD₁₆	—	2	24	no	—
262	C₂×C₈	—	2	6	no	—
263	C₂×C₈	—	2	2	no	—
264	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
265	C₂×C₈	C₂⁴×C₁₃	1	6	yes	—
266	C₄⋊C₄	—	2	12	no	—
267	C₄⋊C₄	—	2	12	no	—
268	C₄⋊C₄	—	2	12	no	—
269	C₄⋊C₄	—	2	12	no	—
270	C₄⋊C₄	—	2	3	no	—
271	C₄⋊C₄	—	2	1	no	—
272	C₄⋊C₄	C₂×D₄×C₁₃	1	12	yes	—
273	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
274	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
275	C₂²⋊C₄	—	2	12	no	—
276	C₄²	—	2	12	no	—
277	C₄²	C₂×D₄×C₁₃	1	6	yes	—
278	C₄²	C₂⁴×C₁₃	1	6	yes	—
279	C₁₃	C₂×#3359	1	1	yes	characteristic, direct product factor, Sylow
280	C₂³	—	2	4	no	—
281	C₂³	—	2	2	no	—
282	C₂³	—	4	2	no	—
283	C₂³	—	4	2	no	—
284	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
285	Q₈	—	2	6	no	—
286	Q₈	—	2	6	no	—
287	Q₈	—	4	6	no	—
288	Q₈	—	4	24	no	—
289	Q₈	C₂×C₁₃×SD₁₆	1	16	yes	complemented
290	D₄	—	2	4	no	—
291	D₄	—	2	2	no	—
292	D₄	C₂×C₁₃×#41	1	4	yes	—
293	C₂×C₄	—	2	6	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	6	no	—
296	C₂×C₄	—	2	6	no	—
297	C₂×C₄	—	4	6	no	—
298	C₂×C₄	—	4	6	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	24	no	—
301	C₂×C₄	C₂×C₁₃×SD₁₆	1	12	yes	—
302	C₂×C₄	C₂²×D₄×C₁₃	1	6	yes	—
303	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
304	C₂×C₄	C₂²×D₄×C₁₃	1	6	yes	—
305	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
306	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
307	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
308	C₈	—	2	6	no	—
309	C₈	—	2	2	no	—
310	C₂²	—	2	4	no	—
311	C₂²	—	4	2	no	—
312	C₂²	—	4	2	no	—
313	C₂²	—	4	8	no	—
314	C₂²	C₁₃×#548	1	2	yes	—
315	C₂²	C₂²×C₁₃×SD₁₆	1	2	yes	—
316	C₂²	C₁₃×#578	1	2	yes	—
317	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
318	C₄	—	2	6	no	—
319	C₄	—	4	6	no	—
320	C₄	—	4	2	no	—
321	C₄	—	4	6	no	—
322	C₄	C₁₃×#548	1	2	yes	—
323	C₄	C₂²×C₁₃×SD₁₆	1	12	yes	—
324	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
325	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
326	C₂	—	4	4	no	—
327	C₂	C₁₃×#3359	1	4	yes	direct product factor
328	C₂	C₂×C₁₃×#548	1	1	yes	characteristic
329	C₂	C₂³×C₁₃×SD₁₆	1	1	yes	characteristic
330	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₂²×D₄×C₁₃	C₂³
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄×Q₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#557	C₂	semidirect
3. C₁₃×#3359	C₂	direct (N × H)
4. C₂×C₁₃×#487	C₂	semidirect
5. C₂×C₁₃×#475	C₂	semidirect
7. C₂×C₈×Q₈×C₁₃	C₂	semidirect
12. C₁₃×#557	C₂²	semidirect
23. C₁₃×#487	C₂²	semidirect
24. C₁₃×#475	C₂²	semidirect
26. C₈×Q₈×C₁₃	C₂²	semidirect
74. C₂×#3359	C₁₃	direct (N × H)
82. C₂×Q₈×C₁₃	SD₁₆	semidirect
115. C₂×#557	C₂×C₁₃	semidirect
117. #3359	C₂×C₁₃	direct (N × H)
118. C₂×#487	C₂×C₁₃	semidirect
119. C₂×#475	C₂×C₁₃	semidirect
121. C₂×C₈×Q₈	C₂×C₁₃	semidirect
132. Q₈×C₁₃	C₂×SD₁₆	semidirect
156. #557	C₂²×C₁₃	semidirect
167. #487	C₂²×C₁₃	semidirect
168. #475	C₂²×C₁₃	semidirect
170. C₈×Q₈	C₂²×C₁₃	semidirect
235. C₂×C₁₃	#3359	direct (N × H)
246. C₂×Q₈	C₁₃×SD₁₆	semidirect
279. C₁₃	C₂×#3359	direct (N × H)
289. Q₈	C₂×C₁₃×SD₁₆	semidirect
327. C₂	C₁₃×#3359	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×#557	2
C₂×D₄×Q₈×C₁₃	2
C₁₃×#3359	2
C₂×C₁₃×#487	2
C₂×C₁₃×#475	2
C₂×C₁₃×#461	2
C₂×C₈×Q₈×C₁₃	2
C₂×C₄×C₁₃×SD₁₆	2
C₂×#3359	13

Subgroups — C2×C13×#3359 #15747635

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3359 #15747635