Subgroups — C₁₃×#25157 #15711496

Order 3328.

1100 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#448	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2427	C₂	1	1	yes	maximal, characteristic
6	Q₈×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2066	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2035	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2033	C₂	1	1	yes	maximal, characteristic
10	C₁₃×#2015	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1969	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1923	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1878	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1877	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1863	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
19	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
20	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
24	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
25	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
26	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#464	—	2	4	no	—
28	C₁₃×#451	—	2	4	no	—
29	C₁₃×#448	—	2	4	no	—
30	C₄×C₁₃×SD₁₆	—	2	4	no	—
31	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#397	—	2	1	no	—
46	C₁₃×#394	—	2	1	no	—
47	C₁₃×#391	—	2	1	no	—
48	C₁₃×#391	—	2	1	no	—
49	C₁₃×#391	C₂²	1	1	yes	characteristic
50	C₁₃×#391	C₂²	1	1	yes	characteristic
51	C₁₃×#391	C₂²	1	1	yes	characteristic
52	C₁₃×#389	C₂²	1	1	yes	characteristic
53	C₁₃×#386	—	2	1	no	—
54	C₁₃×#380	—	2	1	no	—
55	C₁₃×#380	—	2	1	no	—
56	C₁₃×#380	C₂²	1	1	yes	characteristic
57	C₄×C₁₃×C₂²⋊C₄	—	2	1	no	—
58	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₁₃×#340	C₂²	1	1	yes	characteristic
60	C₁₃×#340	C₂²	1	1	yes	characteristic
61	C₁₃×#336	C₂²	1	1	yes	characteristic
62	C₁₃×#336	C₂²	1	1	yes	characteristic
63	C₂²×Q₈×C₁₃	—	2	2	no	—
64	C₂²×Q₈×C₁₃	—	2	2	no	—
65	C₂²×Q₈×C₁₃	—	2	1	no	—
66	C₂²×Q₈×C₁₃	—	2	2	no	—
67	C₂²×Q₈×C₁₃	—	2	2	no	—
68	C₂²×Q₈×C₁₃	—	4	1	no	—
69	C₂²×Q₈×C₁₃	—	4	1	no	—
70	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
71	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
72	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
73	C₂²×D₄×C₁₃	—	2	1	no	—
74	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
75	C₂³×C₄×C₁₃	—	2	1	no	—
76	C₂³×C₄×C₁₃	—	2	1	no	—
77	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
78	C₂×C₁₃×Q₁₆	—	2	2	no	—
79	C₂×C₁₃×Q₁₆	—	2	2	no	—
80	C₂×C₁₃×Q₁₆	—	2	2	no	—
81	C₂×C₁₃×Q₁₆	—	2	2	no	—
82	C₂×C₁₃×Q₁₆	—	2	2	no	—
83	C₂×C₁₃×Q₁₆	—	4	1	no	—
84	C₂×C₁₃×SD₁₆	—	2	2	no	—
85	C₂×C₁₃×SD₁₆	—	2	2	no	—
86	C₂×C₁₃×SD₁₆	—	2	2	no	—
87	C₂×C₁₃×SD₁₆	—	2	2	no	—
88	C₂×C₁₃×SD₁₆	—	4	1	no	—
89	C₂×C₁₃×SD₁₆	D₄	1	4	yes	—
90	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
91	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
92	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
93	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
94	C₁₃×#124	—	2	2	no	—
95	C₁₃×#124	—	4	1	no	—
96	C₁₃×C₂²⋊Q₈	—	2	2	no	—
97	C₁₃×C₂²⋊Q₈	—	4	1	no	—
98	C₁₃×#121	—	2	2	no	—
99	C₁₃×#121	—	4	1	no	—
100	C₄×Q₈×C₁₃	—	2	2	no	—
101	C₄×Q₈×C₁₃	—	2	2	no	—
102	C₄×Q₈×C₁₃	—	4	1	no	—
103	C₄×Q₈×C₁₃	—	4	1	no	—
104	C₄×D₄×C₁₃	—	2	2	no	—
105	C₄×D₄×C₁₃	—	4	1	no	—
106	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
107	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
108	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
109	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
110	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
111	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
112	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
113	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
114	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
115	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
116	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
117	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
118	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
119	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
120	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
121	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
122	C₂×C₄²×C₁₃	—	2	1	no	—
123	C₂×C₄²×C₁₃	—	2	1	no	—
124	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
125	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
126	C₁₃×#107	—	4	1	no	—
127	C₁₃×#106	—	2	2	no	—
128	C₁₃×C₄⋊C₈	—	2	2	no	—
129	C₁₃×#103	—	2	2	no	—
130	C₁₃×#103	—	2	2	no	—
131	C₁₃×#103	—	2	2	no	—
132	C₁₃×#103	—	2	2	no	—
133	C₁₃×#103	—	4	1	no	—
134	C₁₃×#103	D₄	1	4	yes	complemented
135	C₁₃×#102	—	2	2	no	—
136	C₁₃×#102	—	2	2	no	—
137	C₁₃×C₂²⋊C₈	—	2	2	no	—
138	C₁₃×C₂²⋊C₈	—	2	2	no	—
139	C₄×C₈×C₁₃	—	2	2	no	—
140	C₁₃×#95	—	2	1	no	—
141	C₁₃×#95	—	2	1	no	—
142	C₁₃×#95	—	2	1	no	—
143	C₁₃×#95	—	2	1	no	—
144	C₁₃×#95	—	2	1	no	—
145	C₁₃×#95	—	2	1	no	—
146	C₁₃×#95	—	2	1	no	—
147	C₁₃×#95	—	2	1	no	—
148	C₁₃×#95	D₄	1	1	yes	characteristic
149	C₁₃×#95	D₄	1	1	yes	characteristic
150	#25157	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
151	C₂⁴×C₁₃	—	2	1	no	—
152	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
153	C₂×Q₈×C₁₃	—	2	4	no	—
154	C₂×Q₈×C₁₃	—	2	1	no	—
155	C₂×Q₈×C₁₃	—	2	1	no	—
156	C₂×Q₈×C₁₃	—	2	1	no	—
157	C₂×Q₈×C₁₃	—	2	1	no	—
158	C₂×Q₈×C₁₃	—	2	1	no	—
159	C₂×Q₈×C₁₃	—	2	1	no	—
160	C₂×Q₈×C₁₃	—	2	1	no	—
161	C₂×Q₈×C₁₃	—	2	1	no	—
162	C₂×Q₈×C₁₃	—	2	1	no	—
163	C₂×Q₈×C₁₃	—	2	1	no	—
164	C₂×Q₈×C₁₃	—	2	1	no	—
165	C₂×Q₈×C₁₃	—	2	1	no	—
166	C₂×Q₈×C₁₃	—	2	1	no	—
167	C₂×Q₈×C₁₃	—	2	1	no	—
168	C₂×Q₈×C₁₃	—	4	2	no	—
169	C₂×Q₈×C₁₃	—	4	2	no	—
170	C₂×Q₈×C₁₃	—	4	4	no	—
171	C₂×Q₈×C₁₃	—	4	4	no	—
172	C₂×Q₈×C₁₃	—	4	4	no	—
173	C₂×Q₈×C₁₃	—	4	4	no	—
174	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
175	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
176	C₂×Q₈×C₁₃	#41	1	2	yes	—
177	C₂×Q₈×C₁₃	#41	1	2	yes	—
178	C₂×D₄×C₁₃	—	2	1	no	—
179	C₂×D₄×C₁₃	—	2	1	no	—
180	C₂×D₄×C₁₃	—	2	1	no	—
181	C₂×D₄×C₁₃	—	2	1	no	—
182	C₂×D₄×C₁₃	—	2	1	no	—
183	C₂×D₄×C₁₃	—	4	2	no	—
184	C₂×D₄×C₁₃	—	4	2	no	—
185	C₂×D₄×C₁₃	—	8	1	no	—
186	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
187	C₂²×C₄×C₁₃	—	2	1	no	—
188	C₂²×C₄×C₁₃	—	2	4	no	—
189	C₂²×C₄×C₁₃	—	2	1	no	—
190	C₂²×C₄×C₁₃	—	2	1	no	—
191	C₂²×C₄×C₁₃	—	2	1	no	—
192	C₂²×C₄×C₁₃	—	2	1	no	—
193	C₂²×C₄×C₁₃	—	2	1	no	—
194	C₂²×C₄×C₁₃	—	2	1	no	—
195	C₂²×C₄×C₁₃	—	2	1	no	—
196	C₂²×C₄×C₁₃	—	2	1	no	—
197	C₂²×C₄×C₁₃	—	2	1	no	—
198	C₂²×C₄×C₁₃	—	2	1	no	—
199	C₂²×C₄×C₁₃	—	2	1	no	—
200	C₂²×C₄×C₁₃	—	2	1	no	—
201	C₂²×C₄×C₁₃	—	4	2	no	—
202	C₂²×C₄×C₁₃	—	4	2	no	—
203	C₂²×C₄×C₁₃	—	4	2	no	—
204	C₂²×C₄×C₁₃	—	4	2	no	—
205	C₂²×C₄×C₁₃	—	8	1	no	—
206	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
207	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
210	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
211	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
212	C₁₃×Q₁₆	—	4	4	no	—
213	C₁₃×Q₁₆	—	4	4	no	—
214	C₁₃×SD₁₆	—	2	8	no	—
215	C₁₃×SD₁₆	—	4	4	no	—
216	C₂×C₈×C₁₃	—	2	1	no	—
217	C₂×C₈×C₁₃	—	2	1	no	—
218	C₂×C₈×C₁₃	—	2	1	no	—
219	C₂×C₈×C₁₃	—	2	1	no	—
220	C₂×C₈×C₁₃	—	2	1	no	—
221	C₂×C₈×C₁₃	—	2	1	no	—
222	C₂×C₈×C₁₃	—	2	1	no	—
223	C₂×C₈×C₁₃	—	2	1	no	—
224	C₂×C₈×C₁₃	—	2	1	no	—
225	C₂×C₈×C₁₃	—	2	1	no	—
226	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
227	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
228	C₁₃×C₄⋊C₄	—	2	1	no	—
229	C₁₃×C₄⋊C₄	—	2	1	no	—
230	C₁₃×C₄⋊C₄	—	2	1	no	—
231	C₁₃×C₄⋊C₄	—	2	1	no	—
232	C₁₃×C₄⋊C₄	—	2	1	no	—
233	C₁₃×C₄⋊C₄	—	2	1	no	—
234	C₁₃×C₄⋊C₄	—	2	1	no	—
235	C₁₃×C₄⋊C₄	—	4	2	no	—
236	C₁₃×C₄⋊C₄	—	4	2	no	—
237	C₁₃×C₄⋊C₄	—	4	2	no	—
238	C₁₃×C₄⋊C₄	—	8	1	no	—
239	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
240	C₁₃×C₂²⋊C₄	—	2	2	no	—
241	C₁₃×C₂²⋊C₄	—	2	2	no	—
242	C₁₃×C₂²⋊C₄	—	4	2	no	—
243	C₁₃×C₂²⋊C₄	—	4	2	no	—
244	C₁₃×C₂²⋊C₄	—	4	2	no	—
245	C₁₃×C₂²⋊C₄	—	4	2	no	—
246	C₁₃×C₂²⋊C₄	—	4	2	no	—
247	C₁₃×C₂²⋊C₄	—	4	2	no	—
248	C₄²×C₁₃	—	2	1	no	—
249	C₄²×C₁₃	—	2	1	no	—
250	C₄²×C₁₃	—	2	1	no	—
251	C₄²×C₁₃	—	2	1	no	—
252	C₄²×C₁₃	—	4	2	no	—
253	C₄²×C₁₃	—	4	2	no	—
254	C₂×#464	C₂×C₁₃	1	1	yes	characteristic, complemented
255	C₂×#451	C₂×C₁₃	1	1	yes	characteristic, complemented
256	C₂×#448	C₂×C₁₃	1	1	yes	characteristic
257	C₂×C₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
258	#2427	C₂×C₁₃	1	1	yes	characteristic
259	Q₈×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
260	#2066	C₂×C₁₃	1	1	yes	characteristic, complemented
261	#2035	C₂×C₁₃	1	1	yes	characteristic, complemented
262	#2033	C₂×C₁₃	1	1	yes	characteristic
263	#2015	C₂×C₁₃	1	1	yes	characteristic, complemented
264	#1969	C₂×C₁₃	1	1	yes	characteristic, complemented
265	#1923	C₂×C₁₃	1	1	yes	characteristic, complemented
266	#1878	C₂×C₁₃	1	1	yes	characteristic, complemented
267	#1877	C₂×C₁₃	1	1	yes	characteristic, complemented
268	#1863	C₂×C₁₃	1	1	yes	characteristic, complemented
269	C₂³×C₁₃	—	2	1	no	—
270	C₂³×C₁₃	—	2	1	no	—
271	C₂³×C₁₃	—	2	1	no	—
272	C₂³×C₁₃	—	2	1	no	—
273	C₂³×C₁₃	—	2	1	no	—
274	C₂³×C₁₃	—	2	1	no	—
275	C₂³×C₁₃	—	2	2	no	—
276	C₂³×C₁₃	—	4	1	no	—
277	C₂³×C₁₃	—	4	1	no	—
278	C₂³×C₁₃	—	4	1	no	—
279	C₂³×C₁₃	—	4	1	no	—
280	C₂³×C₁₃	—	4	1	no	—
281	C₂³×C₁₃	—	4	1	no	—
282	C₂³×C₁₃	#135	1	2	yes	—
283	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
284	Q₈×C₁₃	—	2	2	no	—
285	Q₈×C₁₃	—	2	2	no	—
286	Q₈×C₁₃	—	2	2	no	—
287	Q₈×C₁₃	—	2	2	no	—
288	Q₈×C₁₃	—	2	2	no	—
289	Q₈×C₁₃	—	4	8	no	—
290	Q₈×C₁₃	—	4	1	no	—
291	Q₈×C₁₃	—	4	1	no	—
292	Q₈×C₁₃	—	4	1	no	—
293	Q₈×C₁₃	—	4	1	no	—
294	Q₈×C₁₃	—	4	1	no	—
295	Q₈×C₁₃	—	4	1	no	—
296	Q₈×C₁₃	#121	1	4	yes	—
297	D₄×C₁₃	—	2	2	no	—
298	D₄×C₁₃	—	2	2	no	—
299	D₄×C₁₃	—	4	1	no	—
300	D₄×C₁₃	—	4	1	no	—
301	D₄×C₁₃	—	8	4	no	—
302	C₂×C₄×C₁₃	—	2	2	no	—
303	C₂×C₄×C₁₃	—	2	1	no	—
304	C₂×C₄×C₁₃	—	2	2	no	—
305	C₂×C₄×C₁₃	—	2	2	no	—
306	C₂×C₄×C₁₃	—	2	1	no	—
307	C₂×C₄×C₁₃	—	2	2	no	—
308	C₂×C₄×C₁₃	—	2	1	no	—
309	C₂×C₄×C₁₃	—	2	1	no	—
310	C₂×C₄×C₁₃	—	2	1	no	—
311	C₂×C₄×C₁₃	—	2	1	no	—
312	C₂×C₄×C₁₃	—	2	2	no	—
313	C₂×C₄×C₁₃	—	2	1	no	—
314	C₂×C₄×C₁₃	—	2	1	no	—
315	C₂×C₄×C₁₃	—	2	1	no	—
316	C₂×C₄×C₁₃	—	2	1	no	—
317	C₂×C₄×C₁₃	—	2	1	no	—
318	C₂×C₄×C₁₃	—	2	1	no	—
319	C₂×C₄×C₁₃	—	2	1	no	—
320	C₂×C₄×C₁₃	—	2	1	no	—
321	C₂×C₄×C₁₃	—	4	8	no	—
322	C₂×C₄×C₁₃	—	4	1	no	—
323	C₂×C₄×C₁₃	—	4	1	no	—
324	C₂×C₄×C₁₃	—	4	1	no	—
325	C₂×C₄×C₁₃	—	4	1	no	—
326	C₂×C₄×C₁₃	—	4	1	no	—
327	C₂×C₄×C₁₃	—	4	1	no	—
328	C₂×C₄×C₁₃	—	4	1	no	—
329	C₂×C₄×C₁₃	—	4	1	no	—
330	C₂×C₄×C₁₃	—	4	1	no	—
331	C₂×C₄×C₁₃	—	4	1	no	—
332	C₂×C₄×C₁₃	—	4	1	no	—
333	C₂×C₄×C₁₃	—	4	1	no	—
334	C₂×C₄×C₁₃	—	4	1	no	—
335	C₂×C₄×C₁₃	—	4	1	no	—
336	C₂×C₄×C₁₃	—	4	1	no	—
337	C₂×C₄×C₁₃	—	4	1	no	—
338	C₂×C₄×C₁₃	—	4	1	no	—
339	C₂×C₄×C₁₃	—	4	1	no	—
340	C₂×C₄×C₁₃	—	4	1	no	—
341	C₂×C₄×C₁₃	—	4	1	no	—
342	C₂×C₄×C₁₃	—	8	4	no	—
343	C₂×C₄×C₁₃	#137	1	2	yes	—
344	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
345	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
346	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
347	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
348	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
349	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
350	C₈×C₁₃	—	2	2	no	—
351	C₈×C₁₃	—	2	2	no	—
352	C₈×C₁₃	—	4	1	no	—
353	C₈×C₁₃	—	4	1	no	—
354	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
355	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
356	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
357	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
358	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
359	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
360	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
361	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
362	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
363	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
364	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
365	#464	—	2	4	no	—
366	#451	—	2	4	no	—
367	#448	—	2	4	no	—
368	C₄×SD₁₆	—	2	4	no	—
369	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
370	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
371	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
372	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
373	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
374	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
375	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
376	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
377	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
378	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
379	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
380	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
381	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
382	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
383	#397	—	2	1	no	—
384	#394	—	2	1	no	—
385	#391	—	2	1	no	—
386	#391	—	2	1	no	—
387	#391	C₂²×C₁₃	1	1	yes	characteristic
388	#391	C₂²×C₁₃	1	1	yes	characteristic
389	#391	C₂²×C₁₃	1	1	yes	characteristic
390	#389	C₂²×C₁₃	1	1	yes	characteristic
391	#386	—	2	1	no	—
392	#380	—	2	1	no	—
393	#380	—	2	1	no	—
394	#380	C₂²×C₁₃	1	1	yes	characteristic
395	C₄×C₂²⋊C₄	—	2	1	no	—
396	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
397	#340	C₂²×C₁₃	1	1	yes	characteristic
398	#340	C₂²×C₁₃	1	1	yes	characteristic
399	#336	C₂²×C₁₃	1	1	yes	characteristic
400	#336	C₂²×C₁₃	1	1	yes	characteristic
401	C₂²×C₁₃	—	2	2	no	—
402	C₂²×C₁₃	—	2	2	no	—
403	C₂²×C₁₃	—	2	2	no	—
404	C₂²×C₁₃	—	4	1	no	—
405	C₂²×C₁₃	—	4	1	no	—
406	C₂²×C₁₃	—	4	1	no	—
407	C₂²×C₁₃	—	4	1	no	—
408	C₂²×C₁₃	—	4	2	no	—
409	C₂²×C₁₃	—	4	2	no	—
410	C₂²×C₁₃	—	4	2	no	—
411	C₂²×C₁₃	—	8	1	no	—
412	C₂²×C₁₃	—	8	1	no	—
413	C₂²×C₁₃	—	8	1	no	—
414	C₂²×C₁₃	—	8	1	no	—
415	C₂²×C₁₃	#525	1	1	yes	characteristic
416	C₂²×C₁₃	D₄²	1	1	yes	characteristic
417	C₂²×C₁₃	D₄²	1	1	yes	characteristic
418	C₂²×C₁₃	C₂×#135	1	1	yes	characteristic
419	C₂²×C₁₃	C₂×#137	1	1	yes	characteristic
420	C₂²×C₁₃	#577	1	1	yes	characteristic
421	C₂²×C₁₃	#578	1	1	yes	characteristic
422	C₄×C₁₃	—	2	4	no	—
423	C₄×C₁₃	—	2	2	no	—
424	C₄×C₁₃	—	4	1	no	—
425	C₄×C₁₃	—	4	2	no	—
426	C₄×C₁₃	—	4	2	no	—
427	C₄×C₁₃	—	4	1	no	—
428	C₄×C₁₃	—	4	1	no	—
429	C₄×C₁₃	—	4	1	no	—
430	C₄×C₁₃	—	8	1	no	—
431	C₄×C₁₃	—	8	1	no	—
432	C₄×C₁₃	—	8	1	no	—
433	C₄×C₁₃	—	8	1	no	—
434	C₄×C₁₃	C₂×#121	1	1	yes	characteristic
435	C₄×C₁₃	#538	1	1	yes	characteristic
436	C₄×C₁₃	#546	1	1	yes	characteristic
437	C₄×C₁₃	#546	1	1	yes	characteristic
438	C₂²×Q₈	—	2	2	no	—
439	C₂²×Q₈	—	2	2	no	—
440	C₂²×Q₈	—	2	1	no	—
441	C₂²×Q₈	—	2	2	no	—
442	C₂²×Q₈	—	2	2	no	—
443	C₂²×Q₈	—	4	1	no	—
444	C₂²×Q₈	—	4	1	no	—
445	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
446	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
447	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
448	C₂²×D₄	—	2	1	no	—
449	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
450	C₂³×C₄	—	2	1	no	—
451	C₂³×C₄	—	2	1	no	—
452	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
453	C₂×Q₁₆	—	2	2	no	—
454	C₂×Q₁₆	—	2	2	no	—
455	C₂×Q₁₆	—	2	2	no	—
456	C₂×Q₁₆	—	2	2	no	—
457	C₂×Q₁₆	—	2	2	no	—
458	C₂×Q₁₆	—	4	1	no	—
459	C₂×SD₁₆	—	2	2	no	—
460	C₂×SD₁₆	—	2	2	no	—
461	C₂×SD₁₆	—	2	2	no	—
462	C₂×SD₁₆	—	2	2	no	—
463	C₂×SD₁₆	—	4	1	no	—
464	C₂×SD₁₆	D₄×C₁₃	1	4	yes	—
465	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
466	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
467	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
468	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
469	#124	—	2	2	no	—
470	#124	—	4	1	no	—
471	C₂²⋊Q₈	—	2	2	no	—
472	C₂²⋊Q₈	—	4	1	no	—
473	#121	—	2	2	no	—
474	#121	—	4	1	no	—
475	C₄×Q₈	—	2	2	no	—
476	C₄×Q₈	—	2	2	no	—
477	C₄×Q₈	—	4	1	no	—
478	C₄×Q₈	—	4	1	no	—
479	C₄×D₄	—	2	2	no	—
480	C₄×D₄	—	4	1	no	—
481	C₂×C₄⋊C₄	—	2	1	no	—
482	C₂×C₄⋊C₄	—	2	1	no	—
483	C₂×C₄⋊C₄	—	2	1	no	—
484	C₂×C₄⋊C₄	—	2	1	no	—
485	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
486	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
487	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
488	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
489	C₂×C₂²⋊C₄	—	2	1	no	—
490	C₂×C₂²⋊C₄	—	2	1	no	—
491	C₂×C₂²⋊C₄	—	2	1	no	—
492	C₂×C₂²⋊C₄	—	2	1	no	—
493	C₂×C₂²⋊C₄	—	2	1	no	—
494	C₂×C₂²⋊C₄	—	2	1	no	—
495	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
496	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
497	C₂×C₄²	—	2	1	no	—
498	C₂×C₄²	—	2	1	no	—
499	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
500	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
501	#107	—	4	1	no	—
502	#106	—	2	2	no	—
503	C₄⋊C₈	—	2	2	no	—
504	#103	—	2	2	no	—
505	#103	—	2	2	no	—
506	#103	—	2	2	no	—
507	#103	—	2	2	no	—
508	#103	—	4	1	no	—
509	#103	D₄×C₁₃	1	4	yes	complemented
510	#102	—	2	2	no	—
511	#102	—	2	2	no	—
512	C₂²⋊C₈	—	2	2	no	—
513	C₂²⋊C₈	—	2	2	no	—
514	C₄×C₈	—	2	2	no	—
515	#95	—	2	1	no	—
516	#95	—	2	1	no	—
517	#95	—	2	1	no	—
518	#95	—	2	1	no	—
519	#95	—	2	1	no	—
520	#95	—	2	1	no	—
521	#95	—	2	1	no	—
522	#95	—	2	1	no	—
523	#95	D₄×C₁₃	1	1	yes	characteristic
524	#95	D₄×C₁₃	1	1	yes	characteristic
525	C₂×C₁₃	—	4	2	no	—
526	C₂×C₁₃	—	8	2	no	—
527	C₂×C₁₃	#2424	1	1	yes	characteristic
528	C₂×C₁₃	#3108	1	1	yes	characteristic
529	C₂×C₁₃	#3121	1	1	yes	characteristic
530	C₂×C₁₃	#3266	1	1	yes	characteristic
531	C₂×C₁₃	#3276	1	1	yes	characteristic
532	C₂×C₁₃	#3282	1	1	yes	characteristic
533	C₂×C₁₃	#3285	1	1	yes	characteristic
534	C₂⁴	—	2	1	no	—
535	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
536	C₂×Q₈	—	2	4	no	—
537	C₂×Q₈	—	2	1	no	—
538	C₂×Q₈	—	2	1	no	—
539	C₂×Q₈	—	2	1	no	—
540	C₂×Q₈	—	2	1	no	—
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	1	no	—
548	C₂×Q₈	—	2	1	no	—
549	C₂×Q₈	—	2	1	no	—
550	C₂×Q₈	—	2	1	no	—
551	C₂×Q₈	—	4	2	no	—
552	C₂×Q₈	—	4	2	no	—
553	C₂×Q₈	—	4	4	no	—
554	C₂×Q₈	—	4	4	no	—
555	C₂×Q₈	—	4	4	no	—
556	C₂×Q₈	—	4	4	no	—
557	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
558	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
559	C₂×Q₈	C₁₃×#41	1	2	yes	—
560	C₂×Q₈	C₁₃×#41	1	2	yes	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	—	2	1	no	—
563	C₂×D₄	—	2	1	no	—
564	C₂×D₄	—	2	1	no	—
565	C₂×D₄	—	2	1	no	—
566	C₂×D₄	—	4	2	no	—
567	C₂×D₄	—	4	2	no	—
568	C₂×D₄	—	8	1	no	—
569	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	4	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	2	1	no	—
574	C₂²×C₄	—	2	1	no	—
575	C₂²×C₄	—	2	1	no	—
576	C₂²×C₄	—	2	1	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	1	no	—
579	C₂²×C₄	—	2	1	no	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	4	2	no	—
585	C₂²×C₄	—	4	2	no	—
586	C₂²×C₄	—	4	2	no	—
587	C₂²×C₄	—	4	2	no	—
588	C₂²×C₄	—	8	1	no	—
589	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
590	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
591	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
592	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
593	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
594	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
595	Q₁₆	—	4	4	no	—
596	Q₁₆	—	4	4	no	—
597	SD₁₆	—	2	8	no	—
598	SD₁₆	—	4	4	no	—
599	C₂×C₈	—	2	1	no	—
600	C₂×C₈	—	2	1	no	—
601	C₂×C₈	—	2	1	no	—
602	C₂×C₈	—	2	1	no	—
603	C₂×C₈	—	2	1	no	—
604	C₂×C₈	—	2	1	no	—
605	C₂×C₈	—	2	1	no	—
606	C₂×C₈	—	2	1	no	—
607	C₂×C₈	—	2	1	no	—
608	C₂×C₈	—	2	1	no	—
609	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
610	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
611	C₄⋊C₄	—	2	1	no	—
612	C₄⋊C₄	—	2	1	no	—
613	C₄⋊C₄	—	2	1	no	—
614	C₄⋊C₄	—	2	1	no	—
615	C₄⋊C₄	—	2	1	no	—
616	C₄⋊C₄	—	2	1	no	—
617	C₄⋊C₄	—	2	1	no	—
618	C₄⋊C₄	—	4	2	no	—
619	C₄⋊C₄	—	4	2	no	—
620	C₄⋊C₄	—	4	2	no	—
621	C₄⋊C₄	—	8	1	no	—
622	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
623	C₂²⋊C₄	—	2	2	no	—
624	C₂²⋊C₄	—	2	2	no	—
625	C₂²⋊C₄	—	4	2	no	—
626	C₂²⋊C₄	—	4	2	no	—
627	C₂²⋊C₄	—	4	2	no	—
628	C₂²⋊C₄	—	4	2	no	—
629	C₂²⋊C₄	—	4	2	no	—
630	C₂²⋊C₄	—	4	2	no	—
631	C₄²	—	2	1	no	—
632	C₄²	—	2	1	no	—
633	C₄²	—	2	1	no	—
634	C₄²	—	2	1	no	—
635	C₄²	—	4	2	no	—
636	C₄²	—	4	2	no	—
637	C₁₃	#25157	1	1	yes	characteristic, direct product factor, Sylow
638	C₂³	—	2	1	no	—
639	C₂³	—	2	1	no	—
640	C₂³	—	2	1	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	2	no	—
645	C₂³	—	4	1	no	—
646	C₂³	—	4	1	no	—
647	C₂³	—	4	1	no	—
648	C₂³	—	4	1	no	—
649	C₂³	—	4	1	no	—
650	C₂³	—	4	1	no	—
651	C₂³	C₁₃×#135	1	2	yes	—
652	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
653	Q₈	—	2	2	no	—
654	Q₈	—	2	2	no	—
655	Q₈	—	2	2	no	—
656	Q₈	—	2	2	no	—
657	Q₈	—	2	2	no	—
658	Q₈	—	4	8	no	—
659	Q₈	—	4	1	no	—
660	Q₈	—	4	1	no	—
661	Q₈	—	4	1	no	—
662	Q₈	—	4	1	no	—
663	Q₈	—	4	1	no	—
664	Q₈	—	4	1	no	—
665	Q₈	C₁₃×#121	1	4	yes	—
666	D₄	—	2	2	no	—
667	D₄	—	2	2	no	—
668	D₄	—	4	1	no	—
669	D₄	—	4	1	no	—
670	D₄	—	8	4	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	2	1	no	—
689	C₂×C₄	—	2	1	no	—
690	C₂×C₄	—	4	8	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	1	no	—
705	C₂×C₄	—	4	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	1	no	—
710	C₂×C₄	—	4	1	no	—
711	C₂×C₄	—	8	4	no	—
712	C₂×C₄	C₁₃×#137	1	2	yes	—
713	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
714	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
715	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
716	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
717	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
719	C₈	—	2	2	no	—
720	C₈	—	2	2	no	—
721	C₈	—	4	1	no	—
722	C₈	—	4	1	no	—
723	C₂²	—	2	2	no	—
724	C₂²	—	2	2	no	—
725	C₂²	—	2	2	no	—
726	C₂²	—	4	1	no	—
727	C₂²	—	4	1	no	—
728	C₂²	—	4	1	no	—
729	C₂²	—	4	1	no	—
730	C₂²	—	4	2	no	—
731	C₂²	—	4	2	no	—
732	C₂²	—	4	2	no	—
733	C₂²	—	8	1	no	—
734	C₂²	—	8	1	no	—
735	C₂²	—	8	1	no	—
736	C₂²	—	8	1	no	—
737	C₂²	C₁₃×#525	1	1	yes	characteristic
738	C₂²	D₄²×C₁₃	1	1	yes	characteristic
739	C₂²	D₄²×C₁₃	1	1	yes	characteristic
740	C₂²	C₂×C₁₃×#135	1	1	yes	characteristic
741	C₂²	C₂×C₁₃×#137	1	1	yes	characteristic
742	C₂²	C₁₃×#577	1	1	yes	characteristic
743	C₂²	C₁₃×#578	1	1	yes	characteristic
744	C₄	—	2	2	no	—
745	C₄	—	2	4	no	—
746	C₄	—	4	2	no	—
747	C₄	—	4	1	no	—
748	C₄	—	4	1	no	—
749	C₄	—	4	1	no	—
750	C₄	—	4	1	no	—
751	C₄	—	4	2	no	—
752	C₄	—	8	1	no	—
753	C₄	—	8	1	no	—
754	C₄	—	8	1	no	—
755	C₄	—	8	1	no	—
756	C₄	C₂×C₁₃×#121	1	1	yes	characteristic
757	C₄	C₁₃×#538	1	1	yes	characteristic
758	C₄	C₁₃×#546	1	1	yes	characteristic
759	C₄	C₁₃×#546	1	1	yes	characteristic
760	C₂	—	4	2	no	—
761	C₂	—	8	2	no	—
762	C₂	C₁₃×#2424	1	1	yes	characteristic
763	C₂	C₁₃×#3108	1	1	yes	characteristic
764	C₂	C₁₃×#3121	1	1	yes	characteristic
765	C₂	C₁₃×#3266	1	1	yes	characteristic
766	C₂	C₁₃×#3276	1	1	yes	characteristic
767	C₂	C₁₃×#3282	1	1	yes	characteristic
768	C₂	C₁₃×#3285	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂×C₁₃×#121	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₄×C₁₃×C₂²⋊C₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#464	C₂	semidirect
2. C₂×C₁₃×#451	C₂	semidirect
4. C₂×C₄×C₁₃×SD₁₆	C₂	semidirect
6. Q₈×C₁₃×C₂²⋊C₄	C₂	semidirect
7. C₁₃×#2066	C₂	semidirect
8. C₁₃×#2035	C₂	semidirect
10. C₁₃×#2015	C₂	semidirect
11. C₁₃×#1969	C₂	semidirect
12. C₁₃×#1923	C₂	semidirect
13. C₁₃×#1878	C₂	semidirect
14. C₁₃×#1877	C₂	semidirect
15. C₁₃×#1863	C₂	semidirect
134. C₁₃×#103	D₄	semidirect
150. #25157	C₁₃	direct (N × H)
254. C₂×#464	C₂×C₁₃	semidirect
255. C₂×#451	C₂×C₁₃	semidirect
257. C₂×C₄×SD₁₆	C₂×C₁₃	semidirect
259. Q₈×C₂²⋊C₄	C₂×C₁₃	semidirect
260. #2066	C₂×C₁₃	semidirect
261. #2035	C₂×C₁₃	semidirect
263. #2015	C₂×C₁₃	semidirect
264. #1969	C₂×C₁₃	semidirect
265. #1923	C₂×C₁₃	semidirect
266. #1878	C₂×C₁₃	semidirect
267. #1877	C₂×C₁₃	semidirect
268. #1863	C₂×C₁₃	semidirect
509. #103	D₄×C₁₃	semidirect
637. C₁₃	#25157	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×#464	2
C₂×C₁₃×#451	2
C₂×C₁₃×#448	2
C₂×C₄×C₁₃×SD₁₆	2
C₁₃×#2427	2
Q₈×C₁₃×C₂²⋊C₄	2
C₁₃×#2066	2
C₁₃×#2035	2
C₁₃×#2033	2
C₁₃×#2015	2
C₁₃×#1969	2
C₁₃×#1923	2
C₁₃×#1878	2
C₁₃×#1877	2
C₁₃×#1863	2
#25157	13

Subgroups — C13×#25157 #15711496

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#25157 #15711496