Subgroups — C₁₃×#34265 #15720604

Order 3328.

3586 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#535	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2367	C₂	1	4	yes	maximal, complemented
5	C₁₃×#2366	C₂	1	4	yes	maximal, complemented
6	C₁₃×#2363	C₂	1	4	yes	maximal, complemented
7	C₁₃×#2361	C₂	1	4	yes	maximal, complemented
8	C₁₃×#2321	C₂	1	4	yes	maximal, complemented
9	C₁₃×#2309	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄×C₁₃×#120	C₂	1	4	yes	maximal, complemented
11	C₁₃×#2297	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2296	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
15	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
16	C₂⁴×C₄×C₁₃	C₂²	1	2	yes	—
17	C₁₃×#535	C₄	1	16	yes	complemented
18	C₂×C₁₃×#127	C₂²	1	2	yes	—
19	C₂×C₁₃×#124	C₂²	1	2	yes	—
20	C₂×C₁₃×#121	C₂²	1	4	yes	—
21	C₂×C₁₃×#120	C₂²	1	4	yes	—
22	C₁₃×#520	—	2	8	no	—
23	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
24	C₂×C₄×D₄×C₁₃	—	2	8	no	—
25	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
26	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
27	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
28	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
29	C₂×C₄×D₄×C₁₃	C₂²	1	8	yes	complemented
30	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
34	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
36	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
37	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
38	C₁₃×#391	C₂²	1	2	yes	complemented
39	C₁₃×#390	C₂²	1	2	yes	—
40	C₁₃×#390	C₂²	1	2	yes	—
41	C₁₃×#390	C₂²	1	4	yes	—
42	C₁₃×#390	C₂²	1	2	yes	complemented
43	C₁₃×#390	C₂²	1	8	yes	complemented
44	C₁₃×#389	C₂²	1	2	yes	complemented
45	C₁₃×#389	C₂²	1	2	yes	complemented
46	C₁₃×#388	C₂²	1	8	yes	complemented
47	C₁₃×#388	C₂²	1	8	yes	complemented
48	C₁₃×#386	C₂²	1	2	yes	—
49	C₁₃×#386	C₂²	1	2	yes	—
50	C₁₃×#386	C₂²	1	8	yes	complemented
51	C₁₃×#386	C₂²	1	8	yes	complemented
52	C₁₃×#385	C₂²	1	2	yes	—
53	C₁₃×#385	C₂²	1	2	yes	—
54	C₁₃×#385	C₂²	1	8	yes	complemented
55	C₁₃×#379	C₂²	1	4	yes	—
56	C₄×C₁₃×C₄⋊C₄	C₂²	1	4	yes	complemented
57	C₄×C₁₃×C₄⋊C₄	C₂²	1	4	yes	complemented
58	C₄×C₁₃×C₄⋊C₄	C₂²	1	4	yes	complemented
59	C₄×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	—
60	C₄×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
61	C₄×C₁₃×C₂²⋊C₄	C₂²	1	8	yes	complemented
62	C₂⁵×C₁₃	C₂³	1	2	yes	—
63	C₂×C₁₃×#41	—	2	4	no	—
64	C₂×C₁₃×#41	—	2	4	no	—
65	C₂×C₁₃×#41	C₂×C₄	1	8	yes	complemented
66	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
67	C₂²×D₄×C₁₃	—	2	4	no	—
68	C₂²×D₄×C₁₃	—	2	4	no	—
69	C₂²×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
70	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
71	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
72	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
73	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
74	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
75	C₂³×C₄×C₁₃	—	2	8	no	—
76	C₂³×C₄×C₁₃	—	4	8	no	—
77	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
78	C₂³×C₄×C₁₃	C₂³	1	8	yes	—
79	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
80	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
81	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
82	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
83	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
84	C₁₃×#127	C₂×C₄	1	16	yes	complemented
85	C₁₃×#124	C₂×C₄	1	16	yes	complemented
86	C₁₃×#121	C₂×C₄	1	32	yes	complemented
87	C₁₃×#120	C₂×C₄	1	32	yes	complemented
88	C₄×Q₈×C₁₃	—	2	8	no	—
89	C₄×D₄×C₁₃	—	2	16	no	—
90	C₄×D₄×C₁₃	—	2	16	no	—
91	C₄×D₄×C₁₃	—	2	16	no	—
92	C₄×D₄×C₁₃	—	2	8	no	—
93	C₄×D₄×C₁₃	—	4	16	no	—
94	C₁₃×#117	—	2	4	no	—
95	C₁₃×#117	—	2	4	no	—
96	C₁₃×#117	—	2	8	no	—
97	C₁₃×#117	C₂×C₄	1	8	yes	complemented
98	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
99	C₂×C₁₃×C₄⋊C₄	D₄	1	8	yes	complemented
100	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
101	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
102	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
103	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
104	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
105	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
106	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
107	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
108	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
109	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
110	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
111	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
112	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
113	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
114	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
115	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
116	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
117	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
118	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
119	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
120	C₂×C₄²×C₁₃	—	2	4	no	—
121	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
122	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
123	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
124	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
125	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
126	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
127	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
128	C₁₃×#95	C₂³	1	8	yes	—
129	C₁₃×#95	C₂³	1	4	yes	—
130	C₁₃×#95	C₂³	1	4	yes	—
131	C₁₃×#95	C₂³	1	4	yes	—
132	C₁₃×#95	C₂³	1	4	yes	—
133	#34265	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
134	C₂⁴×C₁₃	—	2	4	no	—
135	C₂⁴×C₁₃	—	2	4	no	—
136	C₂⁴×C₁₃	—	4	4	no	—
137	C₂⁴×C₁₃	—	4	4	no	—
138	C₂⁴×C₁₃	C₂²×C₄	1	8	yes	—
139	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
140	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
141	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
142	C₁₃×#41	—	2	32	no	—
143	C₂×Q₈×C₁₃	—	2	2	no	—
144	C₂×Q₈×C₁₃	—	2	2	no	—
145	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	complemented
146	C₂×D₄×C₁₃	—	2	4	no	—
147	C₂×D₄×C₁₃	—	2	4	no	—
148	C₂×D₄×C₁₃	—	2	32	no	—
149	C₂×D₄×C₁₃	—	2	4	no	—
150	C₂×D₄×C₁₃	—	2	4	no	—
151	C₂×D₄×C₁₃	—	2	2	no	—
152	C₂×D₄×C₁₃	—	2	4	no	—
153	C₂×D₄×C₁₃	—	2	4	no	—
154	C₂×D₄×C₁₃	—	2	2	no	—
155	C₂×D₄×C₁₃	—	4	8	no	—
156	C₂×D₄×C₁₃	—	4	8	no	—
157	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
158	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
159	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
160	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	complemented
161	C₂×D₄×C₁₃	C₂²×C₄	1	32	yes	complemented
162	C₂²×C₄×C₁₃	—	2	2	no	—
163	C₂²×C₄×C₁₃	—	2	4	no	—
164	C₂²×C₄×C₁₃	—	2	4	no	—
165	C₂²×C₄×C₁₃	—	2	4	no	—
166	C₂²×C₄×C₁₃	—	2	2	no	—
167	C₂²×C₄×C₁₃	—	2	16	no	—
168	C₂²×C₄×C₁₃	—	2	16	no	—
169	C₂²×C₄×C₁₃	—	2	8	no	—
170	C₂²×C₄×C₁₃	—	4	4	no	—
171	C₂²×C₄×C₁₃	—	4	8	no	—
172	C₂²×C₄×C₁₃	—	4	2	no	—
173	C₂²×C₄×C₁₃	—	4	8	no	—
174	C₂²×C₄×C₁₃	—	4	32	no	—
175	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
176	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	complemented
177	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
178	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
179	C₂²×C₄×C₁₃	#41	1	4	yes	—
180	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
181	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
182	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
183	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
184	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
185	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
186	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
187	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
188	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
189	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
190	C₁₃×C₄⋊C₄	—	2	2	no	—
191	C₁₃×C₄⋊C₄	—	2	8	no	—
192	C₁₃×C₄⋊C₄	—	2	2	no	—
193	C₁₃×C₄⋊C₄	—	2	4	no	—
194	C₁₃×C₄⋊C₄	—	2	8	no	—
195	C₁₃×C₄⋊C₄	—	4	4	no	—
196	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
197	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
198	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
199	C₁₃×C₂²⋊C₄	—	2	4	no	—
200	C₁₃×C₂²⋊C₄	—	2	4	no	—
201	C₁₃×C₂²⋊C₄	—	2	16	no	—
202	C₁₃×C₂²⋊C₄	—	2	8	no	—
203	C₁₃×C₂²⋊C₄	—	2	8	no	—
204	C₁₃×C₂²⋊C₄	—	4	8	no	—
205	C₁₃×C₂²⋊C₄	—	4	4	no	—
206	C₁₃×C₂²⋊C₄	—	4	8	no	—
207	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
208	C₁₃×C₂²⋊C₄	C₂²×C₄	1	32	yes	complemented
209	C₄²×C₁₃	—	2	4	no	—
210	C₄²×C₁₃	—	2	4	no	—
211	C₄²×C₁₃	—	2	8	no	—
212	C₄²×C₁₃	—	2	4	no	—
213	C₄²×C₁₃	—	2	4	no	—
214	C₄²×C₁₃	—	4	8	no	—
215	C₄²×C₁₃	C₂²×C₄	1	8	yes	complemented
216	C₂×#535	C₂×C₁₃	1	1	yes	characteristic
217	C₂×#520	C₂×C₁₃	1	1	yes	characteristic, complemented
218	C₂²×C₄×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
219	#2367	C₂×C₁₃	1	4	yes	complemented
220	#2366	C₂×C₁₃	1	4	yes	complemented
221	#2363	C₂×C₁₃	1	4	yes	complemented
222	#2361	C₂×C₁₃	1	4	yes	complemented
223	#2321	C₂×C₁₃	1	4	yes	complemented
224	#2309	C₂×C₁₃	1	1	yes	characteristic, complemented
225	C₄×#120	C₂×C₁₃	1	4	yes	complemented
226	#2297	C₂×C₁₃	1	1	yes	characteristic, complemented
227	#2296	C₂×C₁₃	1	1	yes	characteristic, complemented
228	#2274	C₂×C₁₃	1	1	yes	characteristic, complemented
229	C₂³×C₁₃	—	2	2	no	—
230	C₂³×C₁₃	—	2	2	no	—
231	C₂³×C₁₃	—	2	16	no	—
232	C₂³×C₁₃	—	2	2	no	—
233	C₂³×C₁₃	—	2	4	no	—
234	C₂³×C₁₃	—	2	2	no	—
235	C₂³×C₁₃	—	2	4	no	—
236	C₂³×C₁₃	—	2	4	no	—
237	C₂³×C₁₃	—	2	8	no	—
238	C₂³×C₁₃	—	2	4	no	—
239	C₂³×C₁₃	—	2	8	no	—
240	C₂³×C₁₃	—	4	16	no	—
241	C₂³×C₁₃	—	4	8	no	—
242	C₂³×C₁₃	—	4	8	no	—
243	C₂³×C₁₃	—	4	16	no	—
244	C₂³×C₁₃	C₂³×C₄	1	8	yes	—
245	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
246	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
247	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
248	C₂³×C₁₃	C₂×#41	1	2	yes	—
249	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
250	Q₈×C₁₃	—	2	8	no	—
251	D₄×C₁₃	—	2	16	no	—
252	D₄×C₁₃	—	2	16	no	—
253	D₄×C₁₃	—	2	16	no	—
254	D₄×C₁₃	—	2	8	no	—
255	D₄×C₁₃	—	4	32	no	—
256	C₂×C₄×C₁₃	—	2	8	no	—
257	C₂×C₄×C₁₃	—	2	2	no	—
258	C₂×C₄×C₁₃	—	2	2	no	—
259	C₂×C₄×C₁₃	—	2	2	no	—
260	C₂×C₄×C₁₃	—	2	4	no	—
261	C₂×C₄×C₁₃	—	2	8	no	—
262	C₂×C₄×C₁₃	—	2	2	no	—
263	C₂×C₄×C₁₃	—	2	4	no	—
264	C₂×C₄×C₁₃	—	2	16	no	—
265	C₂×C₄×C₁₃	—	2	2	no	—
266	C₂×C₄×C₁₃	—	2	2	no	—
267	C₂×C₄×C₁₃	—	2	2	no	—
268	C₂×C₄×C₁₃	—	2	4	no	—
269	C₂×C₄×C₁₃	—	2	4	no	—
270	C₂×C₄×C₁₃	—	2	4	no	—
271	C₂×C₄×C₁₃	—	2	4	no	—
272	C₂×C₄×C₁₃	—	2	4	no	—
273	C₂×C₄×C₁₃	—	2	2	no	—
274	C₂×C₄×C₁₃	—	2	2	no	—
275	C₂×C₄×C₁₃	—	4	8	no	—
276	C₂×C₄×C₁₃	—	4	32	no	—
277	C₂×C₄×C₁₃	—	4	4	no	—
278	C₂×C₄×C₁₃	—	8	8	no	—
279	C₂×C₄×C₁₃	C₄×D₄	1	16	yes	complemented
280	C₂×C₄×C₁₃	C₂³×C₄	1	8	yes	—
281	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
282	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
283	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
284	C₂×C₄×C₁₃	C₂²×D₄	1	8	yes	—
285	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
286	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
287	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
288	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
289	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
290	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
291	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
292	C₂⁴×C₄	C₂²×C₁₃	1	2	yes	—
293	#535	C₄×C₁₃	1	16	yes	complemented
294	C₂×#127	C₂²×C₁₃	1	2	yes	—
295	C₂×#124	C₂²×C₁₃	1	2	yes	—
296	C₂×#121	C₂²×C₁₃	1	4	yes	—
297	C₂×#120	C₂²×C₁₃	1	4	yes	—
298	#520	—	2	8	no	—
299	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
300	C₂×C₄×D₄	—	2	8	no	—
301	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
302	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
303	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
304	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
305	C₂×C₄×D₄	C₂²×C₁₃	1	8	yes	complemented
306	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
307	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
308	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
309	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
310	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
311	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
312	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
313	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
314	#391	C₂²×C₁₃	1	2	yes	complemented
315	#390	C₂²×C₁₃	1	2	yes	—
316	#390	C₂²×C₁₃	1	2	yes	—
317	#390	C₂²×C₁₃	1	4	yes	—
318	#390	C₂²×C₁₃	1	8	yes	complemented
319	#390	C₂²×C₁₃	1	2	yes	complemented
320	#389	C₂²×C₁₃	1	2	yes	complemented
321	#389	C₂²×C₁₃	1	2	yes	complemented
322	#388	C₂²×C₁₃	1	8	yes	complemented
323	#388	C₂²×C₁₃	1	8	yes	complemented
324	#386	C₂²×C₁₃	1	2	yes	—
325	#386	C₂²×C₁₃	1	2	yes	—
326	#386	C₂²×C₁₃	1	8	yes	complemented
327	#386	C₂²×C₁₃	1	8	yes	complemented
328	#385	C₂²×C₁₃	1	2	yes	—
329	#385	C₂²×C₁₃	1	2	yes	—
330	#385	C₂²×C₁₃	1	8	yes	complemented
331	#379	C₂²×C₁₃	1	4	yes	—
332	C₄×C₄⋊C₄	C₂²×C₁₃	1	4	yes	complemented
333	C₄×C₄⋊C₄	C₂²×C₁₃	1	4	yes	complemented
334	C₄×C₄⋊C₄	C₂²×C₁₃	1	4	yes	complemented
335	C₄×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	—
336	C₄×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	complemented
337	C₄×C₂²⋊C₄	C₂²×C₁₃	1	8	yes	complemented
338	C₂²×C₁₃	—	2	4	no	—
339	C₂²×C₁₃	—	2	2	no	—
340	C₂²×C₁₃	—	2	2	no	—
341	C₂²×C₁₃	—	2	4	no	—
342	C₂²×C₁₃	—	2	4	no	—
343	C₂²×C₁₃	—	2	8	no	—
344	C₂²×C₁₃	—	2	8	no	—
345	C₂²×C₁₃	—	2	16	no	—
346	C₂²×C₁₃	—	4	32	no	—
347	C₂²×C₁₃	—	4	4	no	—
348	C₂²×C₁₃	—	4	2	no	—
349	C₂²×C₁₃	—	4	2	no	—
350	C₂²×C₁₃	—	4	4	no	—
351	C₂²×C₁₃	—	4	4	no	—
352	C₂²×C₁₃	—	4	8	no	—
353	C₂²×C₁₃	C₂×C₄×D₄	1	4	yes	—
354	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
355	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
356	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
357	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
358	C₂²×C₁₃	#585	1	2	yes	—
359	C₄×C₁₃	—	2	4	no	—
360	C₄×C₁₃	—	2	8	no	—
361	C₄×C₁₃	—	2	4	no	—
362	C₄×C₁₃	—	2	8	no	—
363	C₄×C₁₃	—	4	2	no	—
364	C₄×C₁₃	—	4	2	no	—
365	C₄×C₁₃	—	4	2	no	—
366	C₄×C₁₃	—	4	4	no	—
367	C₄×C₁₃	C₂×C₄×D₄	1	4	yes	—
368	C₄×C₁₃	C₂×C₄×D₄	1	4	yes	—
369	C₂⁵	C₂³×C₁₃	1	2	yes	—
370	C₂×#41	—	2	4	no	—
371	C₂×#41	—	2	4	no	—
372	C₂×#41	C₂×C₄×C₁₃	1	8	yes	complemented
373	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
374	C₂²×D₄	—	2	4	no	—
375	C₂²×D₄	—	2	4	no	—
376	C₂²×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
377	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
378	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
379	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
380	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
381	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
382	C₂³×C₄	—	2	8	no	—
383	C₂³×C₄	—	4	8	no	—
384	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
385	C₂³×C₄	C₂³×C₁₃	1	8	yes	—
386	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
387	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
388	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
389	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
390	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
391	#127	C₂×C₄×C₁₃	1	16	yes	complemented
392	#124	C₂×C₄×C₁₃	1	16	yes	complemented
393	#121	C₂×C₄×C₁₃	1	32	yes	complemented
394	#120	C₂×C₄×C₁₃	1	32	yes	complemented
395	C₄×Q₈	—	2	8	no	—
396	C₄×D₄	—	2	16	no	—
397	C₄×D₄	—	2	16	no	—
398	C₄×D₄	—	2	16	no	—
399	C₄×D₄	—	2	8	no	—
400	C₄×D₄	—	4	16	no	—
401	#117	—	2	4	no	—
402	#117	—	2	4	no	—
403	#117	—	2	8	no	—
404	#117	C₂×C₄×C₁₃	1	8	yes	complemented
405	C₂×C₄⋊C₄	—	2	8	no	—
406	C₂×C₄⋊C₄	D₄×C₁₃	1	8	yes	complemented
407	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
408	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
409	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
410	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
411	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
412	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
413	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
414	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
415	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
416	C₂×C₂²⋊C₄	—	2	8	no	—
417	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
418	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
419	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
420	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
421	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
422	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
423	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
424	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
425	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
426	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
427	C₂×C₄²	—	2	4	no	—
428	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
429	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
430	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
431	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
432	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
433	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
434	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
435	#95	C₂³×C₁₃	1	8	yes	—
436	#95	C₂³×C₁₃	1	4	yes	—
437	#95	C₂³×C₁₃	1	4	yes	—
438	#95	C₂³×C₁₃	1	4	yes	—
439	#95	C₂³×C₁₃	1	4	yes	—
440	C₂×C₁₃	—	2	4	no	—
441	C₂×C₁₃	—	4	4	no	—
442	C₂×C₁₃	—	4	8	no	—
443	C₂×C₁₃	C₂²×C₄×D₄	1	1	yes	characteristic
444	C₂×C₁₃	C₄×H(5,𝔽₂)	1	2	yes	—
445	C₂×C₁₃	#3484	1	1	yes	characteristic
446	C₂×C₁₃	#3487	1	1	yes	characteristic
447	C₂×C₁₃	#3506	1	2	yes	—
448	C₂⁴	—	2	4	no	—
449	C₂⁴	—	2	4	no	—
450	C₂⁴	—	4	4	no	—
451	C₂⁴	—	4	4	no	—
452	C₂⁴	C₂²×C₄×C₁₃	1	8	yes	—
453	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
454	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
455	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
456	#41	—	2	32	no	—
457	C₂×Q₈	—	2	2	no	—
458	C₂×Q₈	—	2	2	no	—
459	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	complemented
460	C₂×D₄	—	2	4	no	—
461	C₂×D₄	—	2	4	no	—
462	C₂×D₄	—	2	32	no	—
463	C₂×D₄	—	2	4	no	—
464	C₂×D₄	—	2	4	no	—
465	C₂×D₄	—	2	2	no	—
466	C₂×D₄	—	2	4	no	—
467	C₂×D₄	—	2	4	no	—
468	C₂×D₄	—	2	2	no	—
469	C₂×D₄	—	4	8	no	—
470	C₂×D₄	—	4	8	no	—
471	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
472	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
473	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
474	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	complemented
475	C₂×D₄	C₂²×C₄×C₁₃	1	32	yes	complemented
476	C₂²×C₄	—	2	2	no	—
477	C₂²×C₄	—	2	4	no	—
478	C₂²×C₄	—	2	4	no	—
479	C₂²×C₄	—	2	4	no	—
480	C₂²×C₄	—	2	2	no	—
481	C₂²×C₄	—	2	16	no	—
482	C₂²×C₄	—	2	16	no	—
483	C₂²×C₄	—	2	8	no	—
484	C₂²×C₄	—	4	4	no	—
485	C₂²×C₄	—	4	8	no	—
486	C₂²×C₄	—	4	2	no	—
487	C₂²×C₄	—	4	8	no	—
488	C₂²×C₄	—	4	32	no	—
489	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
490	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
491	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
492	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
493	C₂²×C₄	C₁₃×#41	1	4	yes	—
494	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
495	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
496	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
497	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
498	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
499	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
500	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
501	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
502	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
503	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
504	C₄⋊C₄	—	2	2	no	—
505	C₄⋊C₄	—	2	8	no	—
506	C₄⋊C₄	—	2	2	no	—
507	C₄⋊C₄	—	2	4	no	—
508	C₄⋊C₄	—	2	8	no	—
509	C₄⋊C₄	—	4	4	no	—
510	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
511	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
512	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
513	C₂²⋊C₄	—	2	4	no	—
514	C₂²⋊C₄	—	2	4	no	—
515	C₂²⋊C₄	—	2	16	no	—
516	C₂²⋊C₄	—	2	8	no	—
517	C₂²⋊C₄	—	2	8	no	—
518	C₂²⋊C₄	—	4	8	no	—
519	C₂²⋊C₄	—	4	8	no	—
520	C₂²⋊C₄	—	4	4	no	—
521	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
522	C₂²⋊C₄	C₂²×C₄×C₁₃	1	32	yes	complemented
523	C₄²	—	2	4	no	—
524	C₄²	—	2	4	no	—
525	C₄²	—	2	8	no	—
526	C₄²	—	2	4	no	—
527	C₄²	—	2	4	no	—
528	C₄²	—	4	8	no	—
529	C₄²	C₂²×C₄×C₁₃	1	8	yes	complemented
530	C₁₃	#34265	1	1	yes	characteristic, direct product factor, Sylow
531	C₂³	—	2	2	no	—
532	C₂³	—	2	2	no	—
533	C₂³	—	2	16	no	—
534	C₂³	—	2	2	no	—
535	C₂³	—	2	4	no	—
536	C₂³	—	2	2	no	—
537	C₂³	—	2	4	no	—
538	C₂³	—	2	4	no	—
539	C₂³	—	2	8	no	—
540	C₂³	—	2	4	no	—
541	C₂³	—	2	8	no	—
542	C₂³	—	4	16	no	—
543	C₂³	—	4	8	no	—
544	C₂³	—	4	8	no	—
545	C₂³	—	4	16	no	—
546	C₂³	C₂³×C₄×C₁₃	1	8	yes	—
547	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
548	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
549	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
550	C₂³	C₂×C₁₃×#41	1	2	yes	—
551	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
552	Q₈	—	2	8	no	—
553	D₄	—	2	16	no	—
554	D₄	—	2	16	no	—
555	D₄	—	2	16	no	—
556	D₄	—	2	8	no	—
557	D₄	—	4	32	no	—
558	C₂×C₄	—	2	8	no	—
559	C₂×C₄	—	2	2	no	—
560	C₂×C₄	—	2	2	no	—
561	C₂×C₄	—	2	2	no	—
562	C₂×C₄	—	2	4	no	—
563	C₂×C₄	—	2	8	no	—
564	C₂×C₄	—	2	2	no	—
565	C₂×C₄	—	2	4	no	—
566	C₂×C₄	—	2	16	no	—
567	C₂×C₄	—	2	2	no	—
568	C₂×C₄	—	2	2	no	—
569	C₂×C₄	—	2	2	no	—
570	C₂×C₄	—	2	4	no	—
571	C₂×C₄	—	2	4	no	—
572	C₂×C₄	—	2	4	no	—
573	C₂×C₄	—	2	4	no	—
574	C₂×C₄	—	2	4	no	—
575	C₂×C₄	—	2	2	no	—
576	C₂×C₄	—	2	2	no	—
577	C₂×C₄	—	4	8	no	—
578	C₂×C₄	—	4	32	no	—
579	C₂×C₄	—	4	4	no	—
580	C₂×C₄	—	8	8	no	—
581	C₂×C₄	C₄×D₄×C₁₃	1	16	yes	complemented
582	C₂×C₄	C₂³×C₄×C₁₃	1	8	yes	—
583	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
584	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
585	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
586	C₂×C₄	C₂²×D₄×C₁₃	1	8	yes	—
587	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
588	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
589	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
590	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
591	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
592	C₂²	—	2	4	no	—
593	C₂²	—	2	2	no	—
594	C₂²	—	2	2	no	—
595	C₂²	—	2	4	no	—
596	C₂²	—	2	4	no	—
597	C₂²	—	2	8	no	—
598	C₂²	—	2	8	no	—
599	C₂²	—	2	16	no	—
600	C₂²	—	4	32	no	—
601	C₂²	—	4	4	no	—
602	C₂²	—	4	2	no	—
603	C₂²	—	4	2	no	—
604	C₂²	—	4	4	no	—
605	C₂²	—	4	4	no	—
606	C₂²	—	4	8	no	—
607	C₂²	C₂×C₄×D₄×C₁₃	1	4	yes	—
608	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
609	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
610	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
611	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
612	C₂²	C₁₃×#585	1	2	yes	—
613	C₄	—	2	4	no	—
614	C₄	—	2	8	no	—
615	C₄	—	2	4	no	—
616	C₄	—	2	8	no	—
617	C₄	—	4	2	no	—
618	C₄	—	4	2	no	—
619	C₄	—	4	2	no	—
620	C₄	—	4	4	no	—
621	C₄	C₂×C₄×D₄×C₁₃	1	4	yes	—
622	C₄	C₂×C₄×D₄×C₁₃	1	4	yes	—
623	C₂	—	2	4	no	—
624	C₂	—	4	8	no	—
625	C₂	—	4	4	no	—
626	C₂	C₂²×C₄×D₄×C₁₃	1	1	yes	characteristic
627	C₂	C₄×C₁₃×H(5,𝔽₂)	1	2	yes	—
628	C₂	C₁₃×#3484	1	1	yes	characteristic
629	C₂	C₁₃×#3487	1	1	yes	characteristic
630	C₂	C₁₃×#3506	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#535	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₃×#520	C₂	semidirect
3. C₂²×C₄×D₄×C₁₃	C₂	semidirect
4. C₁₃×#2367	C₂	semidirect
5. C₁₃×#2366	C₂	semidirect
6. C₁₃×#2363	C₂	semidirect
7. C₁₃×#2361	C₂	semidirect
8. C₁₃×#2321	C₂	semidirect
9. C₁₃×#2309	C₂	semidirect
10. C₄×C₁₃×#120	C₂	semidirect
11. C₁₃×#2297	C₂	semidirect
12. C₁₃×#2296	C₂	semidirect
13. C₁₃×#2274	C₂	semidirect
17. C₁₃×#535	C₄	semidirect
23. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
28. C₂×C₄×D₄×C₁₃	C₂²	semidirect
29. C₂×C₄×D₄×C₁₃	C₂²	semidirect
33. C₂×C₁₃×#117	C₂²	semidirect
35. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
38. C₁₃×#391	C₂²	semidirect
42. C₁₃×#390	C₂²	semidirect
43. C₁₃×#390	C₂²	semidirect
44. C₁₃×#389	C₂²	semidirect
45. C₁₃×#389	C₂²	semidirect
46. C₁₃×#388	C₂²	semidirect
47. C₁₃×#388	C₂²	semidirect
50. C₁₃×#386	C₂²	semidirect
51. C₁₃×#386	C₂²	semidirect
54. C₁₃×#385	C₂²	semidirect
56. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
57. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
58. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
60. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
61. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
65. C₂×C₁₃×#41	C₂×C₄	semidirect
69. C₂²×D₄×C₁₃	C₂×C₄	semidirect
84. C₁₃×#127	C₂×C₄	semidirect
85. C₁₃×#124	C₂×C₄	semidirect
86. C₁₃×#121	C₂×C₄	semidirect
87. C₁₃×#120	C₂×C₄	semidirect
97. C₁₃×#117	C₂×C₄	semidirect
99. C₂×C₁₃×C₄⋊C₄	D₄	semidirect
133. #34265	C₁₃	direct (N × H)
145. C₂×Q₈×C₁₃	C₂²×C₄	semidirect
160. C₂×D₄×C₁₃	C₂²×C₄	semidirect
161. C₂×D₄×C₁₃	C₂²×C₄	semidirect
176. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
196. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
208. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
215. C₄²×C₁₃	C₂²×C₄	semidirect
217. C₂×#520	C₂×C₁₃	semidirect
218. C₂²×C₄×D₄	C₂×C₁₃	semidirect
219. #2367	C₂×C₁₃	semidirect
220. #2366	C₂×C₁₃	semidirect
221. #2363	C₂×C₁₃	semidirect
222. #2361	C₂×C₁₃	semidirect
223. #2321	C₂×C₁₃	semidirect
224. #2309	C₂×C₁₃	semidirect
225. C₄×#120	C₂×C₁₃	semidirect
226. #2297	C₂×C₁₃	semidirect
227. #2296	C₂×C₁₃	semidirect
228. #2274	C₂×C₁₃	semidirect
279. C₂×C₄×C₁₃	C₄×D₄	semidirect
293. #535	C₄×C₁₃	semidirect
299. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
304. C₂×C₄×D₄	C₂²×C₁₃	semidirect
305. C₂×C₄×D₄	C₂²×C₁₃	semidirect
309. C₂×#117	C₂²×C₁₃	semidirect
311. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
314. #391	C₂²×C₁₃	semidirect
318. #390	C₂²×C₁₃	semidirect
319. #390	C₂²×C₁₃	semidirect
320. #389	C₂²×C₁₃	semidirect
321. #389	C₂²×C₁₃	semidirect
322. #388	C₂²×C₁₃	semidirect
323. #388	C₂²×C₁₃	semidirect
326. #386	C₂²×C₁₃	semidirect
327. #386	C₂²×C₁₃	semidirect
330. #385	C₂²×C₁₃	semidirect
332. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
333. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
334. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
336. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
337. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
372. C₂×#41	C₂×C₄×C₁₃	semidirect
376. C₂²×D₄	C₂×C₄×C₁₃	semidirect
391. #127	C₂×C₄×C₁₃	semidirect
392. #124	C₂×C₄×C₁₃	semidirect
393. #121	C₂×C₄×C₁₃	semidirect
394. #120	C₂×C₄×C₁₃	semidirect
404. #117	C₂×C₄×C₁₃	semidirect
406. C₂×C₄⋊C₄	D₄×C₁₃	semidirect
459. C₂×Q₈	C₂²×C₄×C₁₃	semidirect
474. C₂×D₄	C₂²×C₄×C₁₃	semidirect
475. C₂×D₄	C₂²×C₄×C₁₃	semidirect
490. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
510. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
522. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
529. C₄²	C₂²×C₄×C₁₃	semidirect
530. C₁₃	#34265	direct (N × H)
581. C₂×C₄	C₄×D₄×C₁₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#535	2
C₂×C₁₃×#520	2
C₂²×C₄×D₄×C₁₃	2
C₁₃×#2367	2
C₁₃×#2366	2
C₁₃×#2363	2
C₁₃×#2361	2
C₁₃×#2321	2
C₁₃×#2309	2
C₄×C₁₃×#120	2
C₁₃×#2297	2
C₁₃×#2296	2
C₁₃×#2274	2
#34265	13

Subgroups — C13×#34265 #15720604

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34265 #15720604