Subgroups — C₁₃×#35006 #15721345

Order 3328.

2322 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#539	C₂	1	2	yes	maximal, complemented
2	C₁₃×#2857	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2856	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#2854	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2639	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2618	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2560	C₂	1	4	yes	maximal, complemented
8	C₁₃×#2558	C₂	1	4	yes	maximal, complemented
9	C₁₃×#2512	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2506	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2452	C₂	1	2	yes	maximal, complemented
12	C₁₃×#2445	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2325	C₂	1	2	yes	maximal, complemented
14	C₄×C₁₃×#121	C₂	1	2	yes	maximal, complemented
15	C₂×C₄×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#539	—	2	16	no	—
17	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#126	C₂²	1	4	yes	—
20	C₂×C₁₃×#125	C₂²	1	4	yes	—
21	C₂×C₁₃×#123	C₂²	1	4	yes	—
22	C₂×C₁₃×#123	C₂²	1	4	yes	—
23	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
24	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
25	C₂×C₁₃×#121	C₂²	1	2	yes	—
26	C₂×C₁₃×#121	C₂²	1	2	yes	—
27	C₂×C₁₃×#121	C₂²	1	2	yes	—
28	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
29	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
30	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
31	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
32	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
33	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
34	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#400	C₂²	1	4	yes	—
36	C₁₃×#398	C₂²	1	4	yes	—
37	C₁₃×#397	C₂²	1	4	yes	—
38	C₁₃×#396	C₂²	1	4	yes	—
39	C₁₃×#396	C₂²	1	4	yes	—
40	C₁₃×#394	C₂²	1	4	yes	—
41	C₁₃×#394	C₂²	1	4	yes	—
42	C₁₃×#393	C₂²	1	4	yes	—
43	C₁₃×#391	C₂²	1	2	yes	—
44	C₁₃×#390	C₂²	1	2	yes	—
45	C₁₃×#390	C₂²	1	2	yes	—
46	C₁₃×#390	C₂²	1	2	yes	—
47	C₁₃×#390	C₂²	1	2	yes	—
48	C₁₃×#390	C₂²	1	2	yes	—
49	C₁₃×#390	C₂²	1	2	yes	—
50	C₁₃×#389	C₂²	1	2	yes	—
51	C₁₃×#389	C₂²	1	2	yes	—
52	C₁₃×#389	C₂²	1	2	yes	—
53	C₁₃×#389	C₂²	1	2	yes	—
54	C₁₃×#389	C₂²	1	2	yes	—
55	C₁₃×#388	C₂²	1	4	yes	—
56	C₁₃×#388	C₂²	1	4	yes	—
57	C₁₃×#388	C₂²	1	4	yes	—
58	C₁₃×#388	C₂²	1	4	yes	—
59	C₁₃×#387	C₂²	1	4	yes	—
60	C₁₃×#386	C₂²	1	4	yes	—
61	C₁₃×#386	C₂²	1	4	yes	—
62	C₁₃×#386	C₂²	1	4	yes	—
63	C₁₃×#385	C₂²	1	4	yes	—
64	C₁₃×#384	C₂²	1	1	yes	characteristic
65	C₁₃×#384	C₂²	1	1	yes	characteristic
66	C₁₃×#380	C₂²	1	2	yes	—
67	C₁₃×#380	C₂²	1	2	yes	—
68	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
69	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
70	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
71	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
72	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
73	C₄×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	—
74	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
75	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
76	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
77	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
78	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
79	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
80	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
81	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
82	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
83	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
84	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
86	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
88	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
89	C₁₃×C₄⋊Q₈	—	4	2	no	—
90	C₁₃×#127	—	4	2	no	—
91	C₁₃×#126	—	2	16	no	—
92	C₁₃×#125	—	2	16	no	—
93	C₁₃×#123	—	2	16	no	—
94	C₁₃×#123	—	2	16	no	—
95	C₁₃×C₂²⋊Q₈	—	2	8	no	—
96	C₁₃×C₂²⋊Q₈	—	2	16	no	—
97	C₁₃×#121	—	2	8	no	—
98	C₁₃×#121	—	2	8	no	—
99	C₁₃×#121	—	2	8	no	—
100	C₄×D₄×C₁₃	—	2	16	no	—
101	C₄×D₄×C₁₃	—	4	4	no	—
102	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
103	C₂×C₁₃×C₄⋊C₄	D₄	1	8	yes	complemented
104	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
105	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	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×C₄⋊C₄	C₂³	1	2	yes	—
110	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
111	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
112	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
113	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
114	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
115	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
116	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
117	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
118	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
119	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
120	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
121	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
122	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
123	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
124	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
125	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
126	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
127	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
128	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
129	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
130	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
131	C₂×C₄²×C₁₃	—	2	4	no	—
132	C₂×C₄²×C₁₃	—	4	2	no	—
133	C₂×C₄²×C₁₃	—	4	2	no	—
134	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
135	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
136	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
137	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
138	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
139	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
140	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
141	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
142	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
143	C₁₃×#95	C₂³	1	4	yes	—
144	C₁₃×#95	C₂³	1	4	yes	—
145	C₁₃×#95	C₂³	1	2	yes	—
146	C₁₃×#95	C₂³	1	2	yes	—
147	C₁₃×#95	C₂³	1	2	yes	—
148	C₁₃×#95	C₂³	1	2	yes	—
149	C₁₃×#95	C₂³	1	4	yes	—
150	C₁₃×#95	C₂³	1	4	yes	—
151	C₁₃×#95	C₂³	1	4	yes	—
152	C₁₃×#95	C₂³	1	4	yes	—
153	#35006	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
154	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
155	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
156	C₂×Q₈×C₁₃	—	2	4	no	—
157	C₂×Q₈×C₁₃	—	4	2	no	—
158	C₂×Q₈×C₁₃	—	4	2	no	—
159	C₂×D₄×C₁₃	—	2	8	no	—
160	C₂×D₄×C₁₃	—	2	8	no	—
161	C₂×D₄×C₁₃	—	2	8	no	—
162	C₂×D₄×C₁₃	—	2	4	no	—
163	C₂×D₄×C₁₃	—	2	4	no	—
164	C₂×D₄×C₁₃	—	2	4	no	—
165	C₂×D₄×C₁₃	—	2	4	no	—
166	C₂×D₄×C₁₃	—	2	4	no	—
167	C₂×D₄×C₁₃	—	4	2	no	—
168	C₂×D₄×C₁₃	—	4	2	no	—
169	C₂×D₄×C₁₃	—	4	2	no	—
170	C₂×D₄×C₁₃	—	4	2	no	—
171	C₂²×C₄×C₁₃	—	2	2	no	—
172	C₂²×C₄×C₁₃	—	2	2	no	—
173	C₂²×C₄×C₁₃	—	2	2	no	—
174	C₂²×C₄×C₁₃	—	2	2	no	—
175	C₂²×C₄×C₁₃	—	2	2	no	—
176	C₂²×C₄×C₁₃	—	2	2	no	—
177	C₂²×C₄×C₁₃	—	2	8	no	—
178	C₂²×C₄×C₁₃	—	4	1	no	—
179	C₂²×C₄×C₁₃	—	4	1	no	—
180	C₂²×C₄×C₁₃	—	4	1	no	—
181	C₂²×C₄×C₁₃	—	4	1	no	—
182	C₂²×C₄×C₁₃	—	4	1	no	—
183	C₂²×C₄×C₁₃	—	4	1	no	—
184	C₂²×C₄×C₁₃	—	4	1	no	—
185	C₂²×C₄×C₁₃	—	4	1	no	—
186	C₂²×C₄×C₁₃	—	4	1	no	—
187	C₂²×C₄×C₁₃	—	4	1	no	—
188	C₂²×C₄×C₁₃	—	4	4	no	—
189	C₂²×C₄×C₁₃	—	4	4	no	—
190	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
191	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
192	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
193	C₂²×C₄×C₁₃	#41	1	4	yes	—
194	C₂²×C₄×C₁₃	#41	1	4	yes	—
195	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
196	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
197	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
198	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
199	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
200	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
201	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
202	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
203	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
204	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
205	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
206	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
207	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
208	C₁₃×C₄⋊C₄	—	2	8	no	—
209	C₁₃×C₄⋊C₄	—	2	4	no	—
210	C₁₃×C₄⋊C₄	—	2	8	no	—
211	C₁₃×C₄⋊C₄	—	2	8	no	—
212	C₁₃×C₄⋊C₄	—	2	4	no	—
213	C₁₃×C₄⋊C₄	—	2	8	no	—
214	C₁₃×C₄⋊C₄	—	2	4	no	—
215	C₁₃×C₄⋊C₄	—	2	4	no	—
216	C₁₃×C₄⋊C₄	—	2	4	no	—
217	C₁₃×C₄⋊C₄	—	2	4	no	—
218	C₁₃×C₄⋊C₄	—	2	4	no	—
219	C₁₃×C₄⋊C₄	—	2	4	no	—
220	C₁₃×C₄⋊C₄	—	4	2	no	—
221	C₁₃×C₄⋊C₄	—	4	2	no	—
222	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
223	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
224	C₁₃×C₂²⋊C₄	—	2	8	no	—
225	C₁₃×C₂²⋊C₄	—	2	8	no	—
226	C₁₃×C₂²⋊C₄	—	2	8	no	—
227	C₁₃×C₂²⋊C₄	—	2	8	no	—
228	C₁₃×C₂²⋊C₄	—	2	8	no	—
229	C₁₃×C₂²⋊C₄	—	2	8	no	—
230	C₁₃×C₂²⋊C₄	—	2	8	no	—
231	C₁₃×C₂²⋊C₄	—	4	4	no	—
232	C₁₃×C₂²⋊C₄	—	4	4	no	—
233	C₁₃×C₂²⋊C₄	—	4	4	no	—
234	C₁₃×C₂²⋊C₄	—	4	4	no	—
235	C₄²×C₁₃	—	2	8	no	—
236	C₄²×C₁₃	—	2	4	no	—
237	C₄²×C₁₃	—	2	4	no	—
238	C₄²×C₁₃	—	2	4	no	—
239	C₄²×C₁₃	—	2	2	no	—
240	C₄²×C₁₃	—	2	2	no	—
241	C₄²×C₁₃	—	4	1	no	—
242	C₄²×C₁₃	—	4	2	no	—
243	C₄²×C₁₃	—	4	1	no	—
244	C₂×#539	C₂×C₁₃	1	2	yes	complemented
245	#2857	C₂×C₁₃	1	1	yes	characteristic, complemented
246	#2856	C₂×C₁₃	1	1	yes	characteristic
247	#2854	C₂×C₁₃	1	2	yes	complemented
248	#2639	C₂×C₁₃	1	2	yes	complemented
249	#2618	C₂×C₁₃	1	2	yes	complemented
250	#2560	C₂×C₁₃	1	4	yes	complemented
251	#2558	C₂×C₁₃	1	4	yes	complemented
252	#2512	C₂×C₁₃	1	2	yes	complemented
253	#2506	C₂×C₁₃	1	2	yes	complemented
254	#2452	C₂×C₁₃	1	2	yes	complemented
255	#2445	C₂×C₁₃	1	2	yes	complemented
256	#2325	C₂×C₁₃	1	2	yes	complemented
257	C₄×#121	C₂×C₁₃	1	2	yes	complemented
258	C₂×C₄×C₄⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
259	C₂³×C₁₃	—	2	1	no	—
260	C₂³×C₁₃	—	2	1	no	—
261	C₂³×C₁₃	—	2	1	no	—
262	C₂³×C₁₃	—	2	1	no	—
263	C₂³×C₁₃	—	2	4	no	—
264	C₂³×C₁₃	—	2	4	no	—
265	C₂³×C₁₃	—	2	4	no	—
266	C₂³×C₁₃	—	2	4	no	—
267	C₂³×C₁₃	—	2	4	no	—
268	C₂³×C₁₃	—	2	4	no	—
269	C₂³×C₁₃	—	2	4	no	—
270	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
271	C₂³×C₁₃	C₂×#41	1	2	yes	—
272	C₂³×C₁₃	C₂×#41	1	2	yes	—
273	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
274	Q₈×C₁₃	—	8	4	no	—
275	D₄×C₁₃	—	4	16	no	—
276	D₄×C₁₃	—	4	8	no	—
277	D₄×C₁₃	—	8	4	no	—
278	D₄×C₁₃	—	8	4	no	—
279	C₂×C₄×C₁₃	—	2	8	no	—
280	C₂×C₄×C₁₃	—	2	2	no	—
281	C₂×C₄×C₁₃	—	2	2	no	—
282	C₂×C₄×C₁₃	—	2	1	no	—
283	C₂×C₄×C₁₃	—	2	2	no	—
284	C₂×C₄×C₁₃	—	2	1	no	—
285	C₂×C₄×C₁₃	—	2	1	no	—
286	C₂×C₄×C₁₃	—	2	1	no	—
287	C₂×C₄×C₁₃	—	2	1	no	—
288	C₂×C₄×C₁₃	—	2	1	no	—
289	C₂×C₄×C₁₃	—	2	1	no	—
290	C₂×C₄×C₁₃	—	2	2	no	—
291	C₂×C₄×C₁₃	—	2	1	no	—
292	C₂×C₄×C₁₃	—	2	1	no	—
293	C₂×C₄×C₁₃	—	2	1	no	—
294	C₂×C₄×C₁₃	—	2	8	no	—
295	C₂×C₄×C₁₃	—	2	4	no	—
296	C₂×C₄×C₁₃	—	2	4	no	—
297	C₂×C₄×C₁₃	—	2	4	no	—
298	C₂×C₄×C₁₃	—	2	2	no	—
299	C₂×C₄×C₁₃	—	2	4	no	—
300	C₂×C₄×C₁₃	—	2	4	no	—
301	C₂×C₄×C₁₃	—	2	2	no	—
302	C₂×C₄×C₁₃	—	2	2	no	—
303	C₂×C₄×C₁₃	—	2	4	no	—
304	C₂×C₄×C₁₃	—	2	4	no	—
305	C₂×C₄×C₁₃	—	2	4	no	—
306	C₂×C₄×C₁₃	—	2	2	no	—
307	C₂×C₄×C₁₃	—	2	2	no	—
308	C₂×C₄×C₁₃	—	2	2	no	—
309	C₂×C₄×C₁₃	—	2	4	no	—
310	C₂×C₄×C₁₃	—	4	4	no	—
311	C₂×C₄×C₁₃	—	4	4	no	—
312	C₂×C₄×C₁₃	—	4	4	no	—
313	C₂×C₄×C₁₃	—	4	4	no	—
314	C₂×C₄×C₁₃	—	4	4	no	—
315	C₂×C₄×C₁₃	—	8	8	no	—
316	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
317	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
318	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
319	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
320	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
321	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
322	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
323	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
324	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
325	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
326	#539	—	2	16	no	—
327	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
328	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
329	C₂×#126	C₂²×C₁₃	1	4	yes	—
330	C₂×#125	C₂²×C₁₃	1	4	yes	—
331	C₂×#123	C₂²×C₁₃	1	4	yes	—
332	C₂×#123	C₂²×C₁₃	1	4	yes	—
333	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
334	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
335	C₂×#121	C₂²×C₁₃	1	2	yes	—
336	C₂×#121	C₂²×C₁₃	1	2	yes	—
337	C₂×#121	C₂²×C₁₃	1	2	yes	—
338	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
339	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
340	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
341	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
342	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
343	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
344	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
345	#400	C₂²×C₁₃	1	4	yes	—
346	#398	C₂²×C₁₃	1	4	yes	—
347	#397	C₂²×C₁₃	1	4	yes	—
348	#396	C₂²×C₁₃	1	4	yes	—
349	#396	C₂²×C₁₃	1	4	yes	—
350	#394	C₂²×C₁₃	1	4	yes	—
351	#394	C₂²×C₁₃	1	4	yes	—
352	#393	C₂²×C₁₃	1	4	yes	—
353	#391	C₂²×C₁₃	1	2	yes	—
354	#390	C₂²×C₁₃	1	2	yes	—
355	#390	C₂²×C₁₃	1	2	yes	—
356	#390	C₂²×C₁₃	1	2	yes	—
357	#390	C₂²×C₁₃	1	2	yes	—
358	#390	C₂²×C₁₃	1	2	yes	—
359	#390	C₂²×C₁₃	1	2	yes	—
360	#389	C₂²×C₁₃	1	2	yes	—
361	#389	C₂²×C₁₃	1	2	yes	—
362	#389	C₂²×C₁₃	1	2	yes	—
363	#389	C₂²×C₁₃	1	2	yes	—
364	#389	C₂²×C₁₃	1	2	yes	—
365	#388	C₂²×C₁₃	1	4	yes	—
366	#388	C₂²×C₁₃	1	4	yes	—
367	#388	C₂²×C₁₃	1	4	yes	—
368	#388	C₂²×C₁₃	1	4	yes	—
369	#387	C₂²×C₁₃	1	4	yes	—
370	#386	C₂²×C₁₃	1	4	yes	—
371	#386	C₂²×C₁₃	1	4	yes	—
372	#386	C₂²×C₁₃	1	4	yes	—
373	#385	C₂²×C₁₃	1	4	yes	—
374	#384	C₂²×C₁₃	1	1	yes	characteristic
375	#384	C₂²×C₁₃	1	1	yes	characteristic
376	#380	C₂²×C₁₃	1	2	yes	—
377	#380	C₂²×C₁₃	1	2	yes	—
378	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
379	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
380	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
381	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
382	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
383	C₄×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	—
384	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
385	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
386	C₂²×C₁₃	—	2	2	no	—
387	C₂²×C₁₃	—	2	2	no	—
388	C₂²×C₁₃	—	2	2	no	—
389	C₂²×C₁₃	—	2	2	no	—
390	C₂²×C₁₃	—	2	2	no	—
391	C₂²×C₁₃	—	2	2	no	—
392	C₂²×C₁₃	—	4	4	no	—
393	C₂²×C₁₃	—	4	4	no	—
394	C₂²×C₁₃	—	4	4	no	—
395	C₂²×C₁₃	—	4	4	no	—
396	C₂²×C₁₃	—	4	4	no	—
397	C₂²×C₁₃	—	4	4	no	—
398	C₂²×C₁₃	—	4	4	no	—
399	C₂²×C₁₃	#532	1	4	yes	—
400	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
401	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
402	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
403	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
404	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
405	C₂²×C₁₃	#585	1	1	yes	characteristic
406	C₂²×C₁₃	#585	1	1	yes	characteristic
407	C₄×C₁₃	—	2	4	no	—
408	C₄×C₁₃	—	2	2	no	—
409	C₄×C₁₃	—	2	4	no	—
410	C₄×C₁₃	—	2	2	no	—
411	C₄×C₁₃	—	2	2	no	—
412	C₄×C₁₃	—	2	2	no	—
413	C₄×C₁₃	—	2	2	no	—
414	C₄×C₁₃	—	4	4	no	—
415	C₄×C₁₃	—	4	2	no	—
416	C₄×C₁₃	—	4	4	no	—
417	C₄×C₁₃	—	4	4	no	—
418	C₄×C₁₃	—	4	2	no	—
419	C₄×C₁₃	#539	1	4	yes	complemented
420	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
421	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
422	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
423	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
424	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
425	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
426	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
427	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
428	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
429	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
430	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
431	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
432	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
433	C₄⋊Q₈	—	4	2	no	—
434	#127	—	4	2	no	—
435	#126	—	2	16	no	—
436	#125	—	2	16	no	—
437	#123	—	2	16	no	—
438	#123	—	2	16	no	—
439	C₂²⋊Q₈	—	2	8	no	—
440	C₂²⋊Q₈	—	2	16	no	—
441	#121	—	2	8	no	—
442	#121	—	2	8	no	—
443	#121	—	2	8	no	—
444	C₄×D₄	—	2	16	no	—
445	C₄×D₄	—	4	4	no	—
446	C₂×C₄⋊C₄	—	2	4	no	—
447	C₂×C₄⋊C₄	D₄×C₁₃	1	8	yes	complemented
448	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
449	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
450	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
451	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
452	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
453	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
454	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
455	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
456	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
457	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
458	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
459	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
460	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
461	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
462	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
463	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
464	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
466	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
467	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
468	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
469	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
470	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
471	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
472	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
473	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
474	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
475	C₂×C₄²	—	2	4	no	—
476	C₂×C₄²	—	4	2	no	—
477	C₂×C₄²	—	4	2	no	—
478	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
479	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
480	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
481	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
482	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
483	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
484	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
485	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
486	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
487	#95	C₂³×C₁₃	1	2	yes	—
488	#95	C₂³×C₁₃	1	2	yes	—
489	#95	C₂³×C₁₃	1	2	yes	—
490	#95	C₂³×C₁₃	1	2	yes	—
491	#95	C₂³×C₁₃	1	4	yes	—
492	#95	C₂³×C₁₃	1	4	yes	—
493	#95	C₂³×C₁₃	1	4	yes	—
494	#95	C₂³×C₁₃	1	4	yes	—
495	#95	C₂³×C₁₃	1	4	yes	—
496	#95	C₂³×C₁₃	1	4	yes	—
497	C₂×C₁₃	—	2	4	no	—
498	C₂×C₁₃	—	8	4	no	—
499	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
500	C₂×C₁₃	C₂×#539	1	1	yes	characteristic
501	C₂×C₁₃	#3455	1	1	yes	characteristic
502	C₂×C₁₃	#3496	1	1	yes	characteristic
503	C₂×C₁₃	#3497	1	1	yes	characteristic
504	C₂×C₁₃	#3505	1	1	yes	characteristic
505	C₂×C₁₃	#3507	1	1	yes	characteristic
506	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
507	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
508	C₂×Q₈	—	2	4	no	—
509	C₂×Q₈	—	4	2	no	—
510	C₂×Q₈	—	4	2	no	—
511	C₂×D₄	—	2	8	no	—
512	C₂×D₄	—	2	8	no	—
513	C₂×D₄	—	2	8	no	—
514	C₂×D₄	—	2	4	no	—
515	C₂×D₄	—	2	4	no	—
516	C₂×D₄	—	2	4	no	—
517	C₂×D₄	—	2	4	no	—
518	C₂×D₄	—	2	4	no	—
519	C₂×D₄	—	4	2	no	—
520	C₂×D₄	—	4	2	no	—
521	C₂×D₄	—	4	2	no	—
522	C₂×D₄	—	4	2	no	—
523	C₂²×C₄	—	2	2	no	—
524	C₂²×C₄	—	2	2	no	—
525	C₂²×C₄	—	2	2	no	—
526	C₂²×C₄	—	2	2	no	—
527	C₂²×C₄	—	2	2	no	—
528	C₂²×C₄	—	2	2	no	—
529	C₂²×C₄	—	2	8	no	—
530	C₂²×C₄	—	4	1	no	—
531	C₂²×C₄	—	4	1	no	—
532	C₂²×C₄	—	4	1	no	—
533	C₂²×C₄	—	4	1	no	—
534	C₂²×C₄	—	4	1	no	—
535	C₂²×C₄	—	4	1	no	—
536	C₂²×C₄	—	4	1	no	—
537	C₂²×C₄	—	4	1	no	—
538	C₂²×C₄	—	4	1	no	—
539	C₂²×C₄	—	4	1	no	—
540	C₂²×C₄	—	4	4	no	—
541	C₂²×C₄	—	4	4	no	—
542	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
543	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
544	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
545	C₂²×C₄	C₁₃×#41	1	4	yes	—
546	C₂²×C₄	C₁₃×#41	1	4	yes	—
547	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
548	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
549	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
550	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
551	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
552	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
553	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
554	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
555	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
556	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
557	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
558	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
559	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
560	C₄⋊C₄	—	2	8	no	—
561	C₄⋊C₄	—	2	4	no	—
562	C₄⋊C₄	—	2	8	no	—
563	C₄⋊C₄	—	2	8	no	—
564	C₄⋊C₄	—	2	4	no	—
565	C₄⋊C₄	—	2	8	no	—
566	C₄⋊C₄	—	2	4	no	—
567	C₄⋊C₄	—	2	4	no	—
568	C₄⋊C₄	—	2	4	no	—
569	C₄⋊C₄	—	2	4	no	—
570	C₄⋊C₄	—	2	4	no	—
571	C₄⋊C₄	—	2	4	no	—
572	C₄⋊C₄	—	4	2	no	—
573	C₄⋊C₄	—	4	2	no	—
574	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
575	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
576	C₂²⋊C₄	—	2	8	no	—
577	C₂²⋊C₄	—	2	8	no	—
578	C₂²⋊C₄	—	2	8	no	—
579	C₂²⋊C₄	—	2	8	no	—
580	C₂²⋊C₄	—	2	8	no	—
581	C₂²⋊C₄	—	2	8	no	—
582	C₂²⋊C₄	—	2	8	no	—
583	C₂²⋊C₄	—	4	4	no	—
584	C₂²⋊C₄	—	4	4	no	—
585	C₂²⋊C₄	—	4	4	no	—
586	C₂²⋊C₄	—	4	4	no	—
587	C₄²	—	2	8	no	—
588	C₄²	—	2	4	no	—
589	C₄²	—	2	4	no	—
590	C₄²	—	2	4	no	—
591	C₄²	—	2	2	no	—
592	C₄²	—	2	2	no	—
593	C₄²	—	4	1	no	—
594	C₄²	—	4	2	no	—
595	C₄²	—	4	1	no	—
596	C₁₃	#35006	1	1	yes	characteristic, direct product factor, Sylow
597	C₂³	—	2	1	no	—
598	C₂³	—	2	1	no	—
599	C₂³	—	2	1	no	—
600	C₂³	—	2	1	no	—
601	C₂³	—	2	4	no	—
602	C₂³	—	2	4	no	—
603	C₂³	—	2	4	no	—
604	C₂³	—	2	4	no	—
605	C₂³	—	2	4	no	—
606	C₂³	—	2	4	no	—
607	C₂³	—	2	4	no	—
608	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
609	C₂³	C₂×C₁₃×#41	1	2	yes	—
610	C₂³	C₂×C₁₃×#41	1	2	yes	—
611	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
612	Q₈	—	8	4	no	—
613	D₄	—	4	16	no	—
614	D₄	—	4	8	no	—
615	D₄	—	8	4	no	—
616	D₄	—	8	4	no	—
617	C₂×C₄	—	2	8	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	1	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	1	no	—
623	C₂×C₄	—	2	1	no	—
624	C₂×C₄	—	2	1	no	—
625	C₂×C₄	—	2	1	no	—
626	C₂×C₄	—	2	1	no	—
627	C₂×C₄	—	2	1	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	1	no	—
630	C₂×C₄	—	2	1	no	—
631	C₂×C₄	—	2	1	no	—
632	C₂×C₄	—	2	8	no	—
633	C₂×C₄	—	2	4	no	—
634	C₂×C₄	—	2	4	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	4	no	—
638	C₂×C₄	—	2	4	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	4	no	—
642	C₂×C₄	—	2	4	no	—
643	C₂×C₄	—	2	4	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	4	no	—
648	C₂×C₄	—	4	4	no	—
649	C₂×C₄	—	4	4	no	—
650	C₂×C₄	—	4	4	no	—
651	C₂×C₄	—	4	4	no	—
652	C₂×C₄	—	4	4	no	—
653	C₂×C₄	—	8	8	no	—
654	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
655	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
656	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
657	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
658	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
659	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
660	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
661	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
662	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
663	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
664	C₂²	—	2	2	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	2	2	no	—
667	C₂²	—	2	2	no	—
668	C₂²	—	2	2	no	—
669	C₂²	—	2	2	no	—
670	C₂²	—	4	4	no	—
671	C₂²	—	4	4	no	—
672	C₂²	—	4	4	no	—
673	C₂²	—	4	4	no	—
674	C₂²	—	4	4	no	—
675	C₂²	—	4	4	no	—
676	C₂²	—	4	4	no	—
677	C₂²	C₁₃×#532	1	4	yes	—
678	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
679	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
680	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
681	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
682	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
683	C₂²	C₁₃×#585	1	1	yes	characteristic
684	C₂²	C₁₃×#585	1	1	yes	characteristic
685	C₄	—	2	4	no	—
686	C₄	—	2	2	no	—
687	C₄	—	2	4	no	—
688	C₄	—	2	2	no	—
689	C₄	—	2	2	no	—
690	C₄	—	2	2	no	—
691	C₄	—	2	2	no	—
692	C₄	—	4	4	no	—
693	C₄	—	4	2	no	—
694	C₄	—	4	4	no	—
695	C₄	—	4	4	no	—
696	C₄	—	4	2	no	—
697	C₄	C₁₃×#539	1	4	yes	complemented
698	C₂	—	2	4	no	—
699	C₂	—	8	4	no	—
700	C₂	C₂×C₁₃×#532	1	1	yes	characteristic
701	C₂	C₂×C₁₃×#539	1	1	yes	characteristic
702	C₂	C₁₃×#3455	1	1	yes	characteristic
703	C₂	C₁₃×#3496	1	1	yes	characteristic
704	C₂	C₁₃×#3497	1	1	yes	characteristic
705	C₂	C₁₃×#3505	1	1	yes	characteristic
706	C₂	C₁₃×#3507	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₁₃×#2856	C₂
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. C₂×C₁₃×#539	C₂	semidirect
2. C₁₃×#2857	C₂	semidirect
4. C₁₃×#2854	C₂	semidirect
5. C₁₃×#2639	C₂	semidirect
6. C₁₃×#2618	C₂	semidirect
7. C₁₃×#2560	C₂	semidirect
8. C₁₃×#2558	C₂	semidirect
9. C₁₃×#2512	C₂	semidirect
10. C₁₃×#2506	C₂	semidirect
11. C₁₃×#2452	C₂	semidirect
12. C₁₃×#2445	C₂	semidirect
13. C₁₃×#2325	C₂	semidirect
14. C₄×C₁₃×#121	C₂	semidirect
15. C₂×C₄×C₁₃×C₄⋊C₄	C₂	semidirect
103. C₂×C₁₃×C₄⋊C₄	D₄	semidirect
153. #35006	C₁₃	direct (N × H)
244. C₂×#539	C₂×C₁₃	semidirect
245. #2857	C₂×C₁₃	semidirect
247. #2854	C₂×C₁₃	semidirect
248. #2639	C₂×C₁₃	semidirect
249. #2618	C₂×C₁₃	semidirect
250. #2560	C₂×C₁₃	semidirect
251. #2558	C₂×C₁₃	semidirect
252. #2512	C₂×C₁₃	semidirect
253. #2506	C₂×C₁₃	semidirect
254. #2452	C₂×C₁₃	semidirect
255. #2445	C₂×C₁₃	semidirect
256. #2325	C₂×C₁₃	semidirect
257. C₄×#121	C₂×C₁₃	semidirect
258. C₂×C₄×C₄⋊C₄	C₂×C₁₃	semidirect
419. C₄×C₁₃	#539	semidirect
447. C₂×C₄⋊C₄	D₄×C₁₃	semidirect
596. C₁₃	#35006	direct (N × H)
697. C₄	C₁₃×#539	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#539	2
C₁₃×#2857	2
C₁₃×#2856	2
C₁₃×#2854	2
C₁₃×#2639	2
C₁₃×#2618	2
C₁₃×#2560	2
C₁₃×#2558	2
C₁₃×#2512	2
C₁₃×#2506	2
C₁₃×#2452	2
C₁₃×#2445	2
C₁₃×#2325	2
C₄×C₁₃×#121	2
C₂×C₄×C₁₃×C₄⋊C₄	2
#35006	13

Subgroups — C13×#35006 #15721345

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#35006 #15721345