Subgroups — C₁₃×#22649 #15708988

Order 3328.

980 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×#436	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#435	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₃×#424	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₃×#423	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#1940	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1939	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#1851	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1851	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1851	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1850	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1843	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1798	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1797	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1768	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
19	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
20	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
22	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
23	C₁₃×#436	—	2	4	no	—
24	C₁₃×#435	—	2	4	no	—
25	C₁₃×#424	—	2	4	no	—
26	C₁₃×#423	—	2	4	no	—
27	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#388	C₄	1	1	yes	characteristic
46	C₁₃×#388	C₄	1	1	yes	characteristic
47	C₁₃×#387	C₄	1	1	yes	characteristic
48	C₁₃×#387	C₄	1	1	yes	characteristic
49	C₁₃×#386	C₄	1	1	yes	characteristic
50	C₁₃×#386	C₄	1	1	yes	characteristic
51	C₁₃×#385	C₄	1	1	yes	characteristic
52	C₁₃×#385	C₄	1	1	yes	characteristic
53	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₁₃×#376	C₂²	1	1	yes	characteristic
57	C₁₃×#336	C₂²	1	1	yes	characteristic
58	C₁₃×#336	C₂²	1	1	yes	characteristic
59	C₁₃×#336	C₂²	1	1	yes	characteristic
60	C₁₃×#336	C₂²	1	1	yes	characteristic
61	C₁₃×#336	C₂²	1	1	yes	characteristic
62	C₁₃×#336	C₂²	1	1	yes	characteristic
63	C₂²×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
64	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
65	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
66	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
67	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
68	C₂×C₁₃×M₁₆	—	2	2	no	—
69	C₂×C₁₃×M₁₆	—	2	2	no	—
70	C₂×C₁₃×M₁₆	—	2	2	no	—
71	C₂×C₁₃×M₁₆	—	2	2	no	—
72	C₂×C₁₃×M₁₆	—	2	2	no	—
73	C₂×C₁₃×M₁₆	—	2	2	no	—
74	C₂×C₁₃×M₁₆	—	4	1	no	—
75	C₂×C₁₃×M₁₆	—	4	1	no	—
76	C₂×C₁₃×M₁₆	—	4	1	no	—
77	C₂²×C₈×C₁₃	—	2	2	no	—
78	C₂²×C₈×C₁₃	—	2	2	no	—
79	C₂²×C₈×C₁₃	—	4	1	no	—
80	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
82	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
83	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
84	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
85	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
86	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
87	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
88	C₄×D₄×C₁₃	D₄	1	4	yes	—
89	C₄×D₄×C₁₃	Q₈	1	4	yes	—
90	C₁₃×#117	—	2	2	no	—
91	C₁₃×#117	—	2	2	no	—
92	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
93	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
94	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
95	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
96	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
97	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
98	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
99	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
100	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
101	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
102	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
103	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
104	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
105	C₂×C₄²×C₁₃	—	2	2	no	—
106	C₂×C₄²×C₁₃	—	2	2	no	—
107	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
108	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
109	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
110	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
111	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
112	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
113	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
114	C₁₃×C₄⋊C₈	—	2	2	no	—
115	C₁₃×C₄⋊C₈	—	2	2	no	—
116	C₁₃×C₄⋊C₈	—	2	2	no	—
117	C₁₃×C₄⋊C₈	—	2	2	no	—
118	C₁₃×C₄⋊C₈	—	2	2	no	—
119	C₁₃×C₄⋊C₈	—	2	2	no	—
120	C₁₃×C₄⋊C₈	—	2	2	no	—
121	C₁₃×C₄⋊C₈	—	2	2	no	—
122	C₁₃×C₄⋊C₈	—	2	2	no	—
123	C₁₃×C₄⋊C₈	—	4	1	no	—
124	C₁₃×C₄⋊C₈	—	4	1	no	—
125	C₁₃×C₄⋊C₈	D₄	1	4	yes	complemented
126	C₁₃×C₂²⋊C₈	—	2	2	no	—
127	C₁₃×C₂²⋊C₈	—	2	2	no	—
128	C₁₃×C₂²⋊C₈	—	2	2	no	—
129	C₁₃×C₂²⋊C₈	—	2	2	no	—
130	C₁₃×#97	—	2	2	no	—
131	C₄×C₈×C₁₃	—	2	2	no	—
132	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
133	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
134	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
135	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
136	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
137	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
138	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
139	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
140	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
141	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
142	#22649	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
143	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
144	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
145	C₂×D₄×C₁₃	—	4	1	no	—
146	C₂×D₄×C₁₃	—	4	1	no	—
147	C₂×D₄×C₁₃	C₄⋊C₄	1	4	yes	—
148	C₂²×C₄×C₁₃	—	2	1	no	—
149	C₂²×C₄×C₁₃	—	2	1	no	—
150	C₂²×C₄×C₁₃	—	2	1	no	—
151	C₂²×C₄×C₁₃	—	2	1	no	—
152	C₂²×C₄×C₁₃	—	2	1	no	—
153	C₂²×C₄×C₁₃	—	2	1	no	—
154	C₂²×C₄×C₁₃	—	2	1	no	—
155	C₂²×C₄×C₁₃	—	2	1	no	—
156	C₂²×C₄×C₁₃	—	2	2	no	—
157	C₂²×C₄×C₁₃	—	2	2	no	—
158	C₂²×C₄×C₁₃	—	2	2	no	—
159	C₂²×C₄×C₁₃	—	4	1	no	—
160	C₂²×C₄×C₁₃	—	4	1	no	—
161	C₂²×C₄×C₁₃	—	4	1	no	—
162	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
163	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
164	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
165	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
166	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
167	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
168	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
169	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
170	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
171	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
172	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
173	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
174	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
175	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
176	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
177	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
178	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
179	C₁₃×M₁₆	—	4	4	no	—
180	C₁₃×M₁₆	—	4	4	no	—
181	C₁₃×M₁₆	—	4	4	no	—
182	C₂×C₈×C₁₃	—	2	1	no	—
183	C₂×C₈×C₁₃	—	2	1	no	—
184	C₂×C₈×C₁₃	—	2	1	no	—
185	C₂×C₈×C₁₃	—	2	1	no	—
186	C₂×C₈×C₁₃	—	2	1	no	—
187	C₂×C₈×C₁₃	—	2	1	no	—
188	C₂×C₈×C₁₃	—	2	1	no	—
189	C₂×C₈×C₁₃	—	2	1	no	—
190	C₂×C₈×C₁₃	—	2	1	no	—
191	C₂×C₈×C₁₃	—	2	1	no	—
192	C₂×C₈×C₁₃	—	2	1	no	—
193	C₂×C₈×C₁₃	—	2	1	no	—
194	C₂×C₈×C₁₃	—	2	1	no	—
195	C₂×C₈×C₁₃	—	2	1	no	—
196	C₂×C₈×C₁₃	—	2	1	no	—
197	C₂×C₈×C₁₃	—	2	1	no	—
198	C₂×C₈×C₁₃	—	2	1	no	—
199	C₂×C₈×C₁₃	—	2	1	no	—
200	C₂×C₈×C₁₃	—	2	1	no	—
201	C₂×C₈×C₁₃	—	2	1	no	—
202	C₂×C₈×C₁₃	—	2	1	no	—
203	C₂×C₈×C₁₃	—	2	1	no	—
204	C₂×C₈×C₁₃	—	4	4	no	—
205	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
206	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
207	C₁₃×C₄⋊C₄	—	2	2	no	—
208	C₁₃×C₄⋊C₄	—	2	2	no	—
209	C₁₃×C₄⋊C₄	—	2	2	no	—
210	C₁₃×C₄⋊C₄	—	4	1	no	—
211	C₁₃×C₄⋊C₄	C₄⋊C₄	1	4	yes	—
212	C₁₃×C₂²⋊C₄	—	2	2	no	—
213	C₁₃×C₂²⋊C₄	—	2	2	no	—
214	C₁₃×C₂²⋊C₄	—	2	2	no	—
215	C₁₃×C₂²⋊C₄	—	4	1	no	—
216	C₁₃×C₂²⋊C₄	—	4	1	no	—
217	C₁₃×C₂²⋊C₄	—	4	1	no	—
218	C₁₃×C₂²⋊C₄	C₄⋊C₄	1	4	yes	—
219	C₁₃×C₂²⋊C₄	C₄⋊C₄	1	4	yes	—
220	C₄²×C₁₃	—	2	2	no	—
221	C₄²×C₁₃	—	2	2	no	—
222	C₄²×C₁₃	—	2	1	no	—
223	C₄²×C₁₃	—	2	1	no	—
224	C₄²×C₁₃	—	2	1	no	—
225	C₄²×C₁₃	—	2	1	no	—
226	C₄²×C₁₃	—	2	1	no	—
227	C₄²×C₁₃	—	2	1	no	—
228	C₄²×C₁₃	C₂×D₄	1	2	yes	—
229	C₄²×C₁₃	C₂×D₄	1	2	yes	—
230	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
231	C₄²×C₁₃	#41	1	2	yes	—
232	C₂×#436	C₂×C₁₃	1	1	yes	characteristic
233	C₂×#435	C₂×C₁₃	1	1	yes	characteristic
234	C₂×#424	C₂×C₁₃	1	1	yes	characteristic, complemented
235	C₂×#423	C₂×C₁₃	1	1	yes	characteristic, complemented
236	#2290	C₂×C₁₃	1	1	yes	characteristic
237	#1940	C₂×C₁₃	1	1	yes	characteristic, complemented
238	#1939	C₂×C₁₃	1	1	yes	characteristic, complemented
239	#1851	C₂×C₁₃	1	1	yes	characteristic, complemented
240	#1851	C₂×C₁₃	1	1	yes	characteristic, complemented
241	#1851	C₂×C₁₃	1	1	yes	characteristic, complemented
242	#1850	C₂×C₁₃	1	1	yes	characteristic, complemented
243	#1843	C₂×C₁₃	1	1	yes	characteristic, complemented
244	#1798	C₂×C₁₃	1	1	yes	characteristic, complemented
245	#1797	C₂×C₁₃	1	1	yes	characteristic, complemented
246	#1768	C₂×C₁₃	1	1	yes	characteristic, complemented
247	C₂³×C₁₃	—	2	1	no	—
248	C₂³×C₁₃	—	2	1	no	—
249	C₂³×C₁₃	—	2	1	no	—
250	C₂³×C₁₃	—	2	1	no	—
251	C₂³×C₁₃	—	2	1	no	—
252	C₂³×C₁₃	—	2	1	no	—
253	C₂³×C₁₃	—	2	1	no	—
254	C₂³×C₁₃	—	2	1	no	—
255	C₂³×C₁₃	—	2	1	no	—
256	C₂³×C₁₃	—	2	1	no	—
257	C₂³×C₁₃	—	2	1	no	—
258	C₂³×C₁₃	—	2	1	no	—
259	C₂³×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
260	C₂³×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
261	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
262	D₄×C₁₃	—	4	4	no	—
263	C₂×C₄×C₁₃	—	2	1	no	—
264	C₂×C₄×C₁₃	—	2	1	no	—
265	C₂×C₄×C₁₃	—	2	1	no	—
266	C₂×C₄×C₁₃	—	2	1	no	—
267	C₂×C₄×C₁₃	—	2	1	no	—
268	C₂×C₄×C₁₃	—	2	1	no	—
269	C₂×C₄×C₁₃	—	2	1	no	—
270	C₂×C₄×C₁₃	—	2	1	no	—
271	C₂×C₄×C₁₃	—	2	1	no	—
272	C₂×C₄×C₁₃	—	2	1	no	—
273	C₂×C₄×C₁₃	—	2	1	no	—
274	C₂×C₄×C₁₃	—	2	1	no	—
275	C₂×C₄×C₁₃	—	2	1	no	—
276	C₂×C₄×C₁₃	—	2	1	no	—
277	C₂×C₄×C₁₃	—	2	2	no	—
278	C₂×C₄×C₁₃	—	2	2	no	—
279	C₂×C₄×C₁₃	—	2	2	no	—
280	C₂×C₄×C₁₃	—	2	2	no	—
281	C₂×C₄×C₁₃	—	2	2	no	—
282	C₂×C₄×C₁₃	—	2	2	no	—
283	C₂×C₄×C₁₃	—	2	2	no	—
284	C₂×C₄×C₁₃	—	2	2	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	1	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	1	no	—
295	C₂×C₄×C₁₃	—	2	1	no	—
296	C₂×C₄×C₁₃	—	2	1	no	—
297	C₂×C₄×C₁₃	—	2	1	no	—
298	C₂×C₄×C₁₃	—	2	1	no	—
299	C₂×C₄×C₁₃	—	2	1	no	—
300	C₂×C₄×C₁₃	—	4	4	no	—
301	C₂×C₄×C₁₃	—	4	4	no	—
302	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
303	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
304	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
305	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
306	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
307	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
308	C₂×C₄×C₁₃	#131	1	2	yes	—
309	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
310	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
311	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
312	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
313	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
314	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
315	C₈×C₁₃	—	2	2	no	—
316	C₈×C₁₃	—	2	2	no	—
317	C₈×C₁₃	—	4	1	no	—
318	C₈×C₁₃	—	4	1	no	—
319	C₈×C₁₃	—	4	1	no	—
320	C₈×C₁₃	—	4	1	no	—
321	C₈×C₁₃	—	4	1	no	—
322	C₈×C₁₃	—	4	1	no	—
323	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
324	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
325	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
326	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
327	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
328	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
329	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
330	#436	—	2	4	no	—
331	#435	—	2	4	no	—
332	#424	—	2	4	no	—
333	#423	—	2	4	no	—
334	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
335	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
336	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
337	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
338	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
339	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
340	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
341	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
342	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
343	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
344	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
345	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
346	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
347	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
348	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
349	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
350	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
351	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
352	#388	C₄×C₁₃	1	1	yes	characteristic
353	#388	C₄×C₁₃	1	1	yes	characteristic
354	#387	C₄×C₁₃	1	1	yes	characteristic
355	#387	C₄×C₁₃	1	1	yes	characteristic
356	#386	C₄×C₁₃	1	1	yes	characteristic
357	#386	C₄×C₁₃	1	1	yes	characteristic
358	#385	C₄×C₁₃	1	1	yes	characteristic
359	#385	C₄×C₁₃	1	1	yes	characteristic
360	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
361	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
362	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
363	#376	C₂²×C₁₃	1	1	yes	characteristic
364	#336	C₂²×C₁₃	1	1	yes	characteristic
365	#336	C₂²×C₁₃	1	1	yes	characteristic
366	#336	C₂²×C₁₃	1	1	yes	characteristic
367	#336	C₂²×C₁₃	1	1	yes	characteristic
368	#336	C₂²×C₁₃	1	1	yes	characteristic
369	#336	C₂²×C₁₃	1	1	yes	characteristic
370	C₂²×C₁₃	—	2	2	no	—
371	C₂²×C₁₃	—	2	2	no	—
372	C₂²×C₁₃	—	2	2	no	—
373	C₂²×C₁₃	—	2	2	no	—
374	C₂²×C₁₃	—	2	2	no	—
375	C₂²×C₁₃	—	2	2	no	—
376	C₂²×C₁₃	—	4	1	no	—
377	C₂²×C₁₃	—	4	1	no	—
378	C₂²×C₁₃	—	4	1	no	—
379	C₂²×C₁₃	—	4	1	no	—
380	C₂²×C₁₃	—	4	1	no	—
381	C₂²×C₁₃	—	4	1	no	—
382	C₂²×C₁₃	—	4	1	no	—
383	C₂²×C₁₃	—	4	1	no	—
384	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
385	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
386	C₂²×C₁₃	#520	1	1	yes	characteristic
387	C₂²×C₁₃	C₂×#131	1	1	yes	characteristic
388	C₂²×C₁₃	#568	1	1	yes	characteristic
389	C₂²×C₁₃	#568	1	1	yes	characteristic
390	C₂²×C₁₃	#568	1	1	yes	characteristic
391	C₄×C₁₃	—	2	2	no	—
392	C₄×C₁₃	—	2	2	no	—
393	C₄×C₁₃	—	2	2	no	—
394	C₄×C₁₃	—	2	2	no	—
395	C₄×C₁₃	—	2	2	no	—
396	C₄×C₁₃	—	2	2	no	—
397	C₄×C₁₃	—	2	2	no	—
398	C₄×C₁₃	—	4	1	no	—
399	C₄×C₁₃	—	4	1	no	—
400	C₄×C₁₃	—	4	1	no	—
401	C₄×C₁₃	—	4	1	no	—
402	C₄×C₁₃	—	4	1	no	—
403	C₄×C₁₃	D₄²	1	1	yes	characteristic
404	C₄×C₁₃	#547	1	1	yes	characteristic
405	C₄×C₁₃	D₄×Q₈	1	1	yes	characteristic
406	C₄×C₁₃	#554	1	1	yes	characteristic
407	C₂²×D₄	C₂×C₄×C₁₃	1	1	yes	characteristic
408	C₂³×C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
409	C₂³×C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
410	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
411	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
412	C₂×M₁₆	—	2	2	no	—
413	C₂×M₁₆	—	2	2	no	—
414	C₂×M₁₆	—	2	2	no	—
415	C₂×M₁₆	—	2	2	no	—
416	C₂×M₁₆	—	2	2	no	—
417	C₂×M₁₆	—	2	2	no	—
418	C₂×M₁₆	—	4	1	no	—
419	C₂×M₁₆	—	4	1	no	—
420	C₂×M₁₆	—	4	1	no	—
421	C₂²×C₈	—	2	2	no	—
422	C₂²×C₈	—	2	2	no	—
423	C₂²×C₈	—	4	1	no	—
424	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
425	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
426	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
427	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
428	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
429	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
430	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
431	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
432	C₄×D₄	D₄×C₁₃	1	4	yes	—
433	C₄×D₄	Q₈×C₁₃	1	4	yes	—
434	#117	—	2	2	no	—
435	#117	—	2	2	no	—
436	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
437	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
438	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
439	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
440	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
441	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
442	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
443	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
444	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
445	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
446	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
447	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
448	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
449	C₂×C₄²	—	2	2	no	—
450	C₂×C₄²	—	2	2	no	—
451	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
452	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
453	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
454	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
455	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
456	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
457	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
458	C₄⋊C₈	—	2	2	no	—
459	C₄⋊C₈	—	2	2	no	—
460	C₄⋊C₈	—	2	2	no	—
461	C₄⋊C₈	—	2	2	no	—
462	C₄⋊C₈	—	2	2	no	—
463	C₄⋊C₈	—	2	2	no	—
464	C₄⋊C₈	—	2	2	no	—
465	C₄⋊C₈	—	2	2	no	—
466	C₄⋊C₈	—	2	2	no	—
467	C₄⋊C₈	—	4	1	no	—
468	C₄⋊C₈	—	4	1	no	—
469	C₄⋊C₈	D₄×C₁₃	1	4	yes	complemented
470	C₂²⋊C₈	—	2	2	no	—
471	C₂²⋊C₈	—	2	2	no	—
472	C₂²⋊C₈	—	2	2	no	—
473	C₂²⋊C₈	—	2	2	no	—
474	#97	—	2	2	no	—
475	C₄×C₈	—	2	2	no	—
476	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
477	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
478	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
479	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
480	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
481	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
482	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
483	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
484	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
485	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
486	C₂×C₁₃	—	4	2	no	—
487	C₂×C₁₃	—	4	2	no	—
488	C₂×C₁₃	D₄×C₄⋊C₄	1	1	yes	characteristic
489	C₂×C₁₃	#2905	1	1	yes	characteristic
490	C₂×C₁₃	#2906	1	1	yes	characteristic
491	C₂×C₁₃	#2930	1	1	yes	characteristic
492	C₂×C₁₃	#2933	1	1	yes	characteristic
493	C₂×C₁₃	#2993	1	1	yes	characteristic
494	C₂×C₁₃	#2995	1	1	yes	characteristic
495	C₂⁴	C₂²×C₄×C₁₃	1	1	yes	characteristic
496	C₂⁴	C₂²×C₄×C₁₃	1	1	yes	characteristic
497	C₂×D₄	—	4	1	no	—
498	C₂×D₄	—	4	1	no	—
499	C₂×D₄	C₁₃×C₄⋊C₄	1	4	yes	—
500	C₂²×C₄	—	2	1	no	—
501	C₂²×C₄	—	2	1	no	—
502	C₂²×C₄	—	2	1	no	—
503	C₂²×C₄	—	2	1	no	—
504	C₂²×C₄	—	2	1	no	—
505	C₂²×C₄	—	2	1	no	—
506	C₂²×C₄	—	2	1	no	—
507	C₂²×C₄	—	2	1	no	—
508	C₂²×C₄	—	2	2	no	—
509	C₂²×C₄	—	2	2	no	—
510	C₂²×C₄	—	2	2	no	—
511	C₂²×C₄	—	4	1	no	—
512	C₂²×C₄	—	4	1	no	—
513	C₂²×C₄	—	4	1	no	—
514	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
515	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
516	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
517	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
518	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
519	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
520	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
521	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
522	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
523	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
524	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
525	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
526	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
527	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
528	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
529	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
530	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
531	M₁₆	—	4	4	no	—
532	M₁₆	—	4	4	no	—
533	M₁₆	—	4	4	no	—
534	C₂×C₈	—	2	1	no	—
535	C₂×C₈	—	2	1	no	—
536	C₂×C₈	—	2	1	no	—
537	C₂×C₈	—	2	1	no	—
538	C₂×C₈	—	2	1	no	—
539	C₂×C₈	—	2	1	no	—
540	C₂×C₈	—	2	1	no	—
541	C₂×C₈	—	2	1	no	—
542	C₂×C₈	—	2	1	no	—
543	C₂×C₈	—	2	1	no	—
544	C₂×C₈	—	2	1	no	—
545	C₂×C₈	—	2	1	no	—
546	C₂×C₈	—	2	1	no	—
547	C₂×C₈	—	2	1	no	—
548	C₂×C₈	—	2	1	no	—
549	C₂×C₈	—	2	1	no	—
550	C₂×C₈	—	2	1	no	—
551	C₂×C₈	—	2	1	no	—
552	C₂×C₈	—	2	1	no	—
553	C₂×C₈	—	2	1	no	—
554	C₂×C₈	—	2	1	no	—
555	C₂×C₈	—	2	1	no	—
556	C₂×C₈	—	4	4	no	—
557	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
558	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
559	C₄⋊C₄	—	2	2	no	—
560	C₄⋊C₄	—	2	2	no	—
561	C₄⋊C₄	—	2	2	no	—
562	C₄⋊C₄	—	4	1	no	—
563	C₄⋊C₄	C₁₃×C₄⋊C₄	1	4	yes	—
564	C₂²⋊C₄	—	2	2	no	—
565	C₂²⋊C₄	—	2	2	no	—
566	C₂²⋊C₄	—	2	2	no	—
567	C₂²⋊C₄	—	4	1	no	—
568	C₂²⋊C₄	—	4	1	no	—
569	C₂²⋊C₄	—	4	1	no	—
570	C₂²⋊C₄	C₁₃×C₄⋊C₄	1	4	yes	—
571	C₂²⋊C₄	C₁₃×C₄⋊C₄	1	4	yes	—
572	C₄²	—	2	2	no	—
573	C₄²	—	2	2	no	—
574	C₄²	—	2	1	no	—
575	C₄²	—	2	1	no	—
576	C₄²	—	2	1	no	—
577	C₄²	—	2	1	no	—
578	C₄²	—	2	1	no	—
579	C₄²	—	2	1	no	—
580	C₄²	C₂×D₄×C₁₃	1	2	yes	—
581	C₄²	C₂×D₄×C₁₃	1	2	yes	—
582	C₄²	C₂×Q₈×C₁₃	1	2	yes	—
583	C₄²	C₁₃×#41	1	2	yes	—
584	C₁₃	#22649	1	1	yes	characteristic, direct product factor, Sylow
585	C₂³	—	2	1	no	—
586	C₂³	—	2	1	no	—
587	C₂³	—	2	1	no	—
588	C₂³	—	2	1	no	—
589	C₂³	—	2	1	no	—
590	C₂³	—	2	1	no	—
591	C₂³	—	2	1	no	—
592	C₂³	—	2	1	no	—
593	C₂³	—	2	1	no	—
594	C₂³	—	2	1	no	—
595	C₂³	—	2	1	no	—
596	C₂³	—	2	1	no	—
597	C₂³	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
598	C₂³	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
599	C₂³	C₂³×C₄×C₁₃	1	1	yes	characteristic
600	D₄	—	4	4	no	—
601	C₂×C₄	—	2	1	no	—
602	C₂×C₄	—	2	1	no	—
603	C₂×C₄	—	2	1	no	—
604	C₂×C₄	—	2	1	no	—
605	C₂×C₄	—	2	1	no	—
606	C₂×C₄	—	2	1	no	—
607	C₂×C₄	—	2	1	no	—
608	C₂×C₄	—	2	1	no	—
609	C₂×C₄	—	2	1	no	—
610	C₂×C₄	—	2	1	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	1	no	—
613	C₂×C₄	—	2	1	no	—
614	C₂×C₄	—	2	1	no	—
615	C₂×C₄	—	2	2	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	2	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	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	1	no	—
629	C₂×C₄	—	2	1	no	—
630	C₂×C₄	—	2	1	no	—
631	C₂×C₄	—	2	1	no	—
632	C₂×C₄	—	2	1	no	—
633	C₂×C₄	—	2	1	no	—
634	C₂×C₄	—	2	1	no	—
635	C₂×C₄	—	2	1	no	—
636	C₂×C₄	—	2	1	no	—
637	C₂×C₄	—	2	1	no	—
638	C₂×C₄	—	4	4	no	—
639	C₂×C₄	—	4	4	no	—
640	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
641	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
642	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
643	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
644	C₂×C₄	C₄×D₄×C₁₃	1	2	yes	—
645	C₂×C₄	C₄×D₄×C₁₃	1	2	yes	—
646	C₂×C₄	C₁₃×#131	1	2	yes	—
647	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
648	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
649	C₂×C₄	C₂²×Q₈×C₁₃	1	1	yes	characteristic
650	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
651	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
652	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
653	C₈	—	2	2	no	—
654	C₈	—	2	2	no	—
655	C₈	—	4	1	no	—
656	C₈	—	4	1	no	—
657	C₈	—	4	1	no	—
658	C₈	—	4	1	no	—
659	C₈	—	4	1	no	—
660	C₈	—	4	1	no	—
661	C₂²	—	2	2	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	2	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	2	2	no	—
667	C₂²	—	4	1	no	—
668	C₂²	—	4	1	no	—
669	C₂²	—	4	1	no	—
670	C₂²	—	4	1	no	—
671	C₂²	—	4	1	no	—
672	C₂²	—	4	1	no	—
673	C₂²	—	4	1	no	—
674	C₂²	—	4	1	no	—
675	C₂²	C₂²×C₁₃×C₄⋊C₄	1	1	yes	characteristic
676	C₂²	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
677	C₂²	C₁₃×#520	1	1	yes	characteristic
678	C₂²	C₂×C₁₃×#131	1	1	yes	characteristic
679	C₂²	C₁₃×#568	1	1	yes	characteristic
680	C₂²	C₁₃×#568	1	1	yes	characteristic
681	C₂²	C₁₃×#568	1	1	yes	characteristic
682	C₄	—	2	2	no	—
683	C₄	—	2	2	no	—
684	C₄	—	2	2	no	—
685	C₄	—	2	2	no	—
686	C₄	—	2	2	no	—
687	C₄	—	2	2	no	—
688	C₄	—	2	2	no	—
689	C₄	—	4	1	no	—
690	C₄	—	4	1	no	—
691	C₄	—	4	1	no	—
692	C₄	—	4	1	no	—
693	C₄	—	4	1	no	—
694	C₄	D₄²×C₁₃	1	1	yes	characteristic
695	C₄	C₁₃×#547	1	1	yes	characteristic
696	C₄	D₄×Q₈×C₁₃	1	1	yes	characteristic
697	C₄	C₁₃×#554	1	1	yes	characteristic
698	C₂	—	4	2	no	—
699	C₂	—	4	2	no	—
700	C₂	D₄×C₁₃×C₄⋊C₄	1	1	yes	characteristic
701	C₂	C₁₃×#2905	1	1	yes	characteristic
702	C₂	C₁₃×#2906	1	1	yes	characteristic
703	C₂	C₁₃×#2930	1	1	yes	characteristic
704	C₂	C₁₃×#2933	1	1	yes	characteristic
705	C₂	C₁₃×#2993	1	1	yes	characteristic
706	C₂	C₁₃×#2995	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₃	C₂⁴
commutator	C₂³	C₂³×C₄×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
socle	C₂³×C₁₃	C₂³×C₄
prime radical	C₂²×D₄×C₁₃	C₂×C₄
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
3. C₂×C₁₃×#424	C₂	semidirect
4. C₂×C₁₃×#423	C₂	semidirect
6. C₁₃×#1940	C₂	semidirect
7. C₁₃×#1939	C₂	semidirect
8. C₁₃×#1851	C₂	semidirect
9. C₁₃×#1851	C₂	semidirect
10. C₁₃×#1851	C₂	semidirect
11. C₁₃×#1850	C₂	semidirect
12. C₁₃×#1843	C₂	semidirect
13. C₁₃×#1798	C₂	semidirect
14. C₁₃×#1797	C₂	semidirect
15. C₁₃×#1768	C₂	semidirect
125. C₁₃×C₄⋊C₈	D₄	semidirect
142. #22649	C₁₃	direct (N × H)
234. C₂×#424	C₂×C₁₃	semidirect
235. C₂×#423	C₂×C₁₃	semidirect
237. #1940	C₂×C₁₃	semidirect
238. #1939	C₂×C₁₃	semidirect
239. #1851	C₂×C₁₃	semidirect
240. #1851	C₂×C₁₃	semidirect
241. #1851	C₂×C₁₃	semidirect
242. #1850	C₂×C₁₃	semidirect
243. #1843	C₂×C₁₃	semidirect
244. #1798	C₂×C₁₃	semidirect
245. #1797	C₂×C₁₃	semidirect
246. #1768	C₂×C₁₃	semidirect
469. C₄⋊C₈	D₄×C₁₃	semidirect
584. C₁₃	#22649	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×#436	2
C₂×C₁₃×#435	2
C₂×C₁₃×#424	2
C₂×C₁₃×#423	2
C₁₃×#2290	2
C₁₃×#1940	2
C₁₃×#1939	2
C₁₃×#1851	2
C₁₃×#1850	2
C₁₃×#1843	2
C₁₃×#1798	2
C₁₃×#1797	2
C₁₃×#1768	2
#22649	13

Subgroups — C13×#22649 #15708988

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#22649 #15708988