Subgroups — C₁₃×#22584 #15708923

Order 3328.

1150 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#418	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2346	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#1936	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#1934	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#1926	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1925	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#1864	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1862	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1825	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1809	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1786	C₂	1	1	yes	maximal, characteristic
13	C₁₃×#1762	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₁₃×#102	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1753	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
18	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
19	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
21	C₂²×C₁₃×C₂²⋊C₄	—	2	1	no	—
22	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
24	C₁₃×#418	C₄	1	8	yes	complemented
25	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#390	C₂²	1	1	yes	characteristic
37	C₁₃×#390	C₂²	1	1	yes	characteristic
38	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#388	—	2	1	no	—
41	C₁₃×#388	—	2	1	no	—
42	C₁₃×#386	—	2	1	no	—
43	C₁₃×#386	—	2	1	no	—
44	C₁₃×#382	—	2	1	no	—
45	C₁₃×#380	C₂²	1	1	yes	characteristic
46	C₁₃×#380	C₂²	1	1	yes	characteristic
47	C₁₃×#379	—	2	1	no	—
48	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
49	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
50	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₁₃×#376	—	2	1	no	—
52	C₁₃×#340	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#340	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#340	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#340	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#340	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#340	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#336	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#336	C₂²	1	1	yes	characteristic, complemented
60	C₂⁵×C₁₃	—	2	1	no	—
61	C₂²×D₄×C₁₃	—	2	2	no	—
62	C₂²×D₄×C₁₃	—	2	2	no	—
63	C₂²×D₄×C₁₃	—	2	1	no	—
64	C₂²×D₄×C₁₃	—	2	2	no	—
65	C₂²×D₄×C₁₃	—	4	1	no	—
66	C₂²×D₄×C₁₃	—	4	1	no	—
67	C₂²×D₄×C₁₃	C₂×C₄	1	4	yes	—
68	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
69	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
70	C₂³×C₄×C₁₃	—	2	1	no	—
71	C₂³×C₄×C₁₃	—	2	1	no	—
72	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
73	C₂×C₁₃×M₁₆	—	4	1	no	—
74	C₂×C₁₃×M₁₆	—	4	1	no	—
75	C₂×C₁₃×M₁₆	C₂×C₄	1	4	yes	complemented
76	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
77	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
78	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
79	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
80	C₄×D₄×C₁₃	—	2	2	no	—
81	C₄×D₄×C₁₃	—	2	2	no	—
82	C₄×D₄×C₁₃	—	4	1	no	—
83	C₄×D₄×C₁₃	—	4	1	no	—
84	C₁₃×#117	—	2	2	no	—
85	C₁₃×#117	C₂×C₄	1	4	yes	complemented
86	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
87	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
88	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
89	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
90	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
91	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
92	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
93	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
94	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
95	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
96	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
97	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
98	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
99	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
100	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
101	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
102	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
103	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
104	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
105	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
106	C₂×C₄²×C₁₃	—	2	1	no	—
107	C₂×C₄²×C₁₃	—	2	1	no	—
108	C₂×C₄²×C₁₃	—	2	1	no	—
109	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
110	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
111	C₁₃×#107	—	4	1	no	—
112	C₁₃×#106	—	4	1	no	—
113	C₁₃×#102	—	2	2	no	—
114	C₁₃×#102	—	2	2	no	—
115	C₁₃×#102	—	4	1	no	—
116	C₁₃×#102	—	4	1	no	—
117	C₁₃×#102	C₂×C₄	1	4	yes	—
118	C₁₃×#102	C₂×C₄	1	4	yes	—
119	C₁₃×#102	C₂×C₄	1	4	yes	complemented
120	C₁₃×#102	C₂×C₄	1	4	yes	complemented
121	C₁₃×C₂²⋊C₈	—	2	2	no	—
122	C₁₃×#97	—	4	1	no	—
123	C₄×C₈×C₁₃	—	4	1	no	—
124	C₁₃×#95	—	2	1	no	—
125	C₁₃×#95	—	2	1	no	—
126	C₁₃×#95	—	2	1	no	—
127	C₁₃×#95	—	2	1	no	—
128	C₁₃×#95	—	2	1	no	—
129	C₁₃×#95	—	2	1	no	—
130	C₁₃×#95	D₄	1	1	yes	characteristic
131	C₁₃×#95	D₄	1	1	yes	characteristic
132	#22584	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
133	C₂⁴×C₁₃	—	2	1	no	—
134	C₂⁴×C₁₃	—	2	1	no	—
135	C₂⁴×C₁₃	—	2	4	no	—
136	C₂⁴×C₁₃	—	4	2	no	—
137	C₂⁴×C₁₃	—	4	2	no	—
138	C₂⁴×C₁₃	—	4	2	no	—
139	C₂⁴×C₁₃	—	4	2	no	—
140	C₂⁴×C₁₃	—	8	1	no	—
141	C₂⁴×C₁₃	—	8	1	no	—
142	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
143	C₂×D₄×C₁₃	—	2	8	no	—
144	C₂×D₄×C₁₃	—	2	4	no	—
145	C₂×D₄×C₁₃	—	2	1	no	—
146	C₂×D₄×C₁₃	—	2	1	no	—
147	C₂×D₄×C₁₃	—	2	1	no	—
148	C₂×D₄×C₁₃	—	2	1	no	—
149	C₂×D₄×C₁₃	—	2	1	no	—
150	C₂×D₄×C₁₃	—	2	1	no	—
151	C₂×D₄×C₁₃	—	2	1	no	—
152	C₂×D₄×C₁₃	—	2	1	no	—
153	C₂×D₄×C₁₃	—	4	4	no	—
154	C₂×D₄×C₁₃	—	4	4	no	—
155	C₂×D₄×C₁₃	—	4	4	no	—
156	C₂×D₄×C₁₃	—	4	2	no	—
157	C₂×D₄×C₁₃	—	4	2	no	—
158	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
159	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
160	C₂×D₄×C₁₃	#41	1	2	yes	—
161	C₂×D₄×C₁₃	#41	1	2	yes	—
162	C₂²×C₄×C₁₃	—	2	1	no	—
163	C₂²×C₄×C₁₃	—	2	1	no	—
164	C₂²×C₄×C₁₃	—	2	1	no	—
165	C₂²×C₄×C₁₃	—	2	1	no	—
166	C₂²×C₄×C₁₃	—	2	1	no	—
167	C₂²×C₄×C₁₃	—	2	1	no	—
168	C₂²×C₄×C₁₃	—	2	1	no	—
169	C₂²×C₄×C₁₃	—	2	1	no	—
170	C₂²×C₄×C₁₃	—	2	1	no	—
171	C₂²×C₄×C₁₃	—	2	1	no	—
172	C₂²×C₄×C₁₃	—	4	2	no	—
173	C₂²×C₄×C₁₃	—	4	2	no	—
174	C₂²×C₄×C₁₃	—	4	2	no	—
175	C₂²×C₄×C₁₃	—	4	2	no	—
176	C₂²×C₄×C₁₃	—	8	1	no	—
177	C₂²×C₄×C₁₃	—	8	1	no	—
178	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
179	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
180	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
181	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
182	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
183	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
184	C₂²×C₄×C₁₃	#41	1	2	yes	—
185	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
186	C₁₃×M₁₆	—	4	4	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	C₂²×C₄	1	2	yes	—
198	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
199	C₁₃×C₄⋊C₄	—	2	1	no	—
200	C₁₃×C₄⋊C₄	—	2	1	no	—
201	C₁₃×C₄⋊C₄	—	2	1	no	—
202	C₁₃×C₄⋊C₄	—	2	1	no	—
203	C₁₃×C₄⋊C₄	—	2	1	no	—
204	C₁₃×C₄⋊C₄	—	2	1	no	—
205	C₁₃×C₄⋊C₄	—	2	1	no	—
206	C₁₃×C₄⋊C₄	—	2	1	no	—
207	C₁₃×C₄⋊C₄	—	2	1	no	—
208	C₁₃×C₄⋊C₄	—	2	1	no	—
209	C₁₃×C₄⋊C₄	—	8	1	no	—
210	C₁₃×C₄⋊C₄	—	8	1	no	—
211	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
212	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
213	C₁₃×C₂²⋊C₄	—	2	4	no	—
214	C₁₃×C₂²⋊C₄	—	2	2	no	—
215	C₁₃×C₂²⋊C₄	—	4	1	no	—
216	C₁₃×C₂²⋊C₄	—	4	2	no	—
217	C₁₃×C₂²⋊C₄	—	4	2	no	—
218	C₁₃×C₂²⋊C₄	—	4	2	no	—
219	C₁₃×C₂²⋊C₄	—	4	2	no	—
220	C₁₃×C₂²⋊C₄	—	4	2	no	—
221	C₁₃×C₂²⋊C₄	—	8	1	no	—
222	C₁₃×C₂²⋊C₄	—	8	1	no	—
223	C₁₃×C₂²⋊C₄	—	8	1	no	—
224	C₄²×C₁₃	—	2	4	no	—
225	C₄²×C₁₃	—	2	1	no	—
226	C₄²×C₁₃	—	2	1	no	—
227	C₄²×C₁₃	—	2	1	no	—
228	C₄²×C₁₃	—	2	1	no	—
229	C₄²×C₁₃	—	4	2	no	—
230	C₄²×C₁₃	—	4	2	no	—
231	C₂×#418	C₂×C₁₃	1	1	yes	characteristic
232	#2346	C₂×C₁₃	1	1	yes	characteristic, complemented
233	D₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic
234	#1936	C₂×C₁₃	1	1	yes	characteristic, complemented
235	#1934	C₂×C₁₃	1	1	yes	characteristic, complemented
236	#1926	C₂×C₁₃	1	1	yes	characteristic, complemented
237	#1925	C₂×C₁₃	1	1	yes	characteristic, complemented
238	#1864	C₂×C₁₃	1	1	yes	characteristic, complemented
239	#1862	C₂×C₁₃	1	1	yes	characteristic, complemented
240	#1825	C₂×C₁₃	1	1	yes	characteristic, complemented
241	#1809	C₂×C₁₃	1	1	yes	characteristic, complemented
242	#1786	C₂×C₁₃	1	1	yes	characteristic
243	#1762	C₂×C₁₃	1	1	yes	characteristic, complemented
244	C₄×#102	C₂×C₁₃	1	1	yes	characteristic, complemented
245	#1753	C₂×C₁₃	1	1	yes	characteristic, complemented
246	C₂³×C₁₃	—	2	2	no	—
247	C₂³×C₁₃	—	2	2	no	—
248	C₂³×C₁₃	—	2	2	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	2	no	—
256	C₂³×C₁₃	—	4	8	no	—
257	C₂³×C₁₃	—	4	8	no	—
258	C₂³×C₁₃	—	4	1	no	—
259	C₂³×C₁₃	—	4	1	no	—
260	C₂³×C₁₃	—	4	1	no	—
261	C₂³×C₁₃	—	4	1	no	—
262	C₂³×C₁₃	—	4	1	no	—
263	C₂³×C₁₃	—	4	1	no	—
264	C₂³×C₁₃	—	4	1	no	—
265	C₂³×C₁₃	—	4	1	no	—
266	C₂³×C₁₃	—	4	1	no	—
267	C₂³×C₁₃	—	4	1	no	—
268	C₂³×C₁₃	—	8	4	no	—
269	C₂³×C₁₃	—	8	4	no	—
270	C₂³×C₁₃	—	8	4	no	—
271	C₂³×C₁₃	—	8	4	no	—
272	C₂³×C₁₃	—	8	4	no	—
273	C₂³×C₁₃	C₄×D₄	1	2	yes	—
274	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
275	D₄×C₁₃	—	2	2	no	—
276	D₄×C₁₃	—	2	2	no	—
277	D₄×C₁₃	—	2	2	no	—
278	D₄×C₁₃	—	2	2	no	—
279	D₄×C₁₃	—	2	2	no	—
280	D₄×C₁₃	—	4	8	no	—
281	D₄×C₁₃	—	4	1	no	—
282	D₄×C₁₃	—	4	1	no	—
283	D₄×C₁₃	#117	1	4	yes	—
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	2	no	—
289	C₂×C₄×C₁₃	—	2	2	no	—
290	C₂×C₄×C₁₃	—	2	2	no	—
291	C₂×C₄×C₁₃	—	2	2	no	—
292	C₂×C₄×C₁₃	—	2	2	no	—
293	C₂×C₄×C₁₃	—	2	2	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	—	2	1	no	—
301	C₂×C₄×C₁₃	—	2	1	no	—
302	C₂×C₄×C₁₃	—	2	1	no	—
303	C₂×C₄×C₁₃	—	4	1	no	—
304	C₂×C₄×C₁₃	—	4	1	no	—
305	C₂×C₄×C₁₃	—	4	1	no	—
306	C₂×C₄×C₁₃	—	4	1	no	—
307	C₂×C₄×C₁₃	—	4	1	no	—
308	C₂×C₄×C₁₃	—	4	1	no	—
309	C₂×C₄×C₁₃	—	4	1	no	—
310	C₂×C₄×C₁₃	—	4	1	no	—
311	C₂×C₄×C₁₃	—	4	1	no	—
312	C₂×C₄×C₁₃	—	4	1	no	—
313	C₂×C₄×C₁₃	—	4	1	no	—
314	C₂×C₄×C₁₃	—	4	1	no	—
315	C₂×C₄×C₁₃	—	4	1	no	—
316	C₂×C₄×C₁₃	—	4	1	no	—
317	C₂×C₄×C₁₃	—	4	1	no	—
318	C₂×C₄×C₁₃	—	4	1	no	—
319	C₂×C₄×C₁₃	—	8	4	no	—
320	C₂×C₄×C₁₃	—	8	4	no	—
321	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
322	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
323	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
324	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
325	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
326	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
327	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
328	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
329	C₈×C₁₃	—	2	2	no	—
330	C₈×C₁₃	—	2	2	no	—
331	C₈×C₁₃	—	4	1	no	—
332	C₈×C₁₃	—	4	1	no	—
333	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
334	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
335	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
336	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
337	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
338	C₂²×C₂²⋊C₄	—	2	1	no	—
339	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic, complemented
340	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
341	#418	C₄×C₁₃	1	8	yes	complemented
342	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
343	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
344	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
345	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
346	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
347	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
348	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
349	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
350	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
351	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
352	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
353	#390	C₂²×C₁₃	1	1	yes	characteristic
354	#390	C₂²×C₁₃	1	1	yes	characteristic
355	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
356	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
357	#388	—	2	1	no	—
358	#388	—	2	1	no	—
359	#386	—	2	1	no	—
360	#386	—	2	1	no	—
361	#382	—	2	1	no	—
362	#380	C₂²×C₁₃	1	1	yes	characteristic
363	#380	C₂²×C₁₃	1	1	yes	characteristic
364	#379	—	2	1	no	—
365	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
366	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
367	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
368	#376	—	2	1	no	—
369	#340	C₂²×C₁₃	1	1	yes	characteristic, complemented
370	#340	C₂²×C₁₃	1	1	yes	characteristic, complemented
371	#340	C₂²×C₁₃	1	1	yes	characteristic, complemented
372	#340	C₂²×C₁₃	1	1	yes	characteristic, complemented
373	#340	C₂²×C₁₃	1	1	yes	characteristic, complemented
374	#340	C₂²×C₁₃	1	1	yes	characteristic, complemented
375	#336	C₂²×C₁₃	1	1	yes	characteristic, complemented
376	#336	C₂²×C₁₃	1	1	yes	characteristic, complemented
377	C₂²×C₁₃	—	2	2	no	—
378	C₂²×C₁₃	—	2	4	no	—
379	C₂²×C₁₃	—	2	2	no	—
380	C₂²×C₁₃	—	2	2	no	—
381	C₂²×C₁₃	—	4	2	no	—
382	C₂²×C₁₃	—	4	2	no	—
383	C₂²×C₁₃	—	4	2	no	—
384	C₂²×C₁₃	—	4	1	no	—
385	C₂²×C₁₃	—	4	1	no	—
386	C₂²×C₁₃	—	4	2	no	—
387	C₂²×C₁₃	—	4	1	no	—
388	C₂²×C₁₃	—	4	2	no	—
389	C₂²×C₁₃	—	4	2	no	—
390	C₂²×C₁₃	—	4	1	no	—
391	C₂²×C₁₃	—	4	2	no	—
392	C₂²×C₁₃	—	4	2	no	—
393	C₂²×C₁₃	—	4	2	no	—
394	C₂²×C₁₃	—	8	16	no	—
395	C₂²×C₁₃	—	8	1	no	—
396	C₂²×C₁₃	—	8	1	no	—
397	C₂²×C₁₃	—	8	1	no	—
398	C₂²×C₁₃	—	8	1	no	—
399	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
400	C₂²×C₁₃	#546	1	1	yes	characteristic
401	C₂²×C₁₃	#546	1	1	yes	characteristic
402	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
403	C₂²×C₁₃	#575	1	1	yes	characteristic
404	C₂²×C₁₃	#576	1	1	yes	characteristic
405	C₂²×C₁₃	#577	1	1	yes	characteristic
406	C₄×C₁₃	—	2	2	no	—
407	C₄×C₁₃	—	2	2	no	—
408	C₄×C₁₃	—	4	2	no	—
409	C₄×C₁₃	—	4	2	no	—
410	C₄×C₁₃	—	4	1	no	—
411	C₄×C₁₃	—	4	1	no	—
412	C₄×C₁₃	—	4	1	no	—
413	C₄×C₁₃	—	8	1	no	—
414	C₄×C₁₃	—	8	1	no	—
415	C₄×C₁₃	—	8	1	no	—
416	C₄×C₁₃	—	8	1	no	—
417	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
418	C₄×C₁₃	#518	1	1	yes	characteristic
419	C₄×C₁₃	#551	1	1	yes	characteristic
420	C₄×C₁₃	#551	1	1	yes	characteristic
421	C₂⁵	—	2	1	no	—
422	C₂²×D₄	—	2	2	no	—
423	C₂²×D₄	—	2	2	no	—
424	C₂²×D₄	—	2	1	no	—
425	C₂²×D₄	—	2	2	no	—
426	C₂²×D₄	—	4	1	no	—
427	C₂²×D₄	—	4	1	no	—
428	C₂²×D₄	C₂×C₄×C₁₃	1	4	yes	—
429	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
430	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
431	C₂³×C₄	—	2	1	no	—
432	C₂³×C₄	—	2	1	no	—
433	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
434	C₂×M₁₆	—	4	1	no	—
435	C₂×M₁₆	—	4	1	no	—
436	C₂×M₁₆	C₂×C₄×C₁₃	1	4	yes	complemented
437	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
438	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
439	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
440	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
441	C₄×D₄	—	2	2	no	—
442	C₄×D₄	—	2	2	no	—
443	C₄×D₄	—	4	1	no	—
444	C₄×D₄	—	4	1	no	—
445	#117	—	2	2	no	—
446	#117	C₂×C₄×C₁₃	1	4	yes	complemented
447	C₂×C₄⋊C₄	—	2	1	no	—
448	C₂×C₄⋊C₄	—	2	1	no	—
449	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
450	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
451	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
452	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
453	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
454	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
455	C₂×C₂²⋊C₄	—	2	1	no	—
456	C₂×C₂²⋊C₄	—	2	1	no	—
457	C₂×C₂²⋊C₄	—	2	1	no	—
458	C₂×C₂²⋊C₄	—	2	1	no	—
459	C₂×C₂²⋊C₄	—	2	1	no	—
460	C₂×C₂²⋊C₄	—	2	1	no	—
461	C₂×C₂²⋊C₄	—	2	1	no	—
462	C₂×C₂²⋊C₄	—	2	1	no	—
463	C₂×C₂²⋊C₄	—	2	1	no	—
464	C₂×C₂²⋊C₄	—	4	4	no	—
465	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
466	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
467	C₂×C₄²	—	2	1	no	—
468	C₂×C₄²	—	2	1	no	—
469	C₂×C₄²	—	2	1	no	—
470	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
471	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
472	#107	—	4	1	no	—
473	#106	—	4	1	no	—
474	#102	—	2	2	no	—
475	#102	—	2	2	no	—
476	#102	—	4	1	no	—
477	#102	—	4	1	no	—
478	#102	C₂×C₄×C₁₃	1	4	yes	—
479	#102	C₂×C₄×C₁₃	1	4	yes	—
480	#102	C₂×C₄×C₁₃	1	4	yes	complemented
481	#102	C₂×C₄×C₁₃	1	4	yes	complemented
482	C₂²⋊C₈	—	2	2	no	—
483	#97	—	4	1	no	—
484	C₄×C₈	—	4	1	no	—
485	#95	—	2	1	no	—
486	#95	—	2	1	no	—
487	#95	—	2	1	no	—
488	#95	—	2	1	no	—
489	#95	—	2	1	no	—
490	#95	—	2	1	no	—
491	#95	D₄×C₁₃	1	1	yes	characteristic
492	#95	D₄×C₁₃	1	1	yes	characteristic
493	C₂×C₁₃	—	4	2	no	—
494	C₂×C₁₃	—	4	4	no	—
495	C₂×C₁₃	—	8	2	no	—
496	C₂×C₁₃	#2342	1	1	yes	characteristic
497	C₂×C₁₃	C₄×AGL(1,ℤ/8)	1	1	yes	characteristic
498	C₂×C₁₃	#2946	1	1	yes	characteristic
499	C₂×C₁₃	#3310	1	1	yes	characteristic
500	C₂×C₁₃	#3319	1	1	yes	characteristic
501	C₂×C₁₃	#3323	1	1	yes	characteristic
502	C₂×C₁₃	#3325	1	1	yes	characteristic
503	C₂⁴	—	2	1	no	—
504	C₂⁴	—	2	1	no	—
505	C₂⁴	—	2	4	no	—
506	C₂⁴	—	4	2	no	—
507	C₂⁴	—	4	2	no	—
508	C₂⁴	—	4	2	no	—
509	C₂⁴	—	4	2	no	—
510	C₂⁴	—	8	1	no	—
511	C₂⁴	—	8	1	no	—
512	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
513	C₂×D₄	—	2	8	no	—
514	C₂×D₄	—	2	4	no	—
515	C₂×D₄	—	2	1	no	—
516	C₂×D₄	—	2	1	no	—
517	C₂×D₄	—	2	1	no	—
518	C₂×D₄	—	2	1	no	—
519	C₂×D₄	—	2	1	no	—
520	C₂×D₄	—	2	1	no	—
521	C₂×D₄	—	2	1	no	—
522	C₂×D₄	—	2	1	no	—
523	C₂×D₄	—	4	4	no	—
524	C₂×D₄	—	4	4	no	—
525	C₂×D₄	—	4	4	no	—
526	C₂×D₄	—	4	2	no	—
527	C₂×D₄	—	4	2	no	—
528	C₂×D₄	C₂²×C₄×C₁₃	1	2	yes	—
529	C₂×D₄	C₂²×C₄×C₁₃	1	2	yes	—
530	C₂×D₄	C₁₃×#41	1	2	yes	—
531	C₂×D₄	C₁₃×#41	1	2	yes	—
532	C₂²×C₄	—	2	1	no	—
533	C₂²×C₄	—	2	1	no	—
534	C₂²×C₄	—	2	1	no	—
535	C₂²×C₄	—	2	1	no	—
536	C₂²×C₄	—	2	1	no	—
537	C₂²×C₄	—	2	1	no	—
538	C₂²×C₄	—	2	1	no	—
539	C₂²×C₄	—	2	1	no	—
540	C₂²×C₄	—	2	1	no	—
541	C₂²×C₄	—	2	1	no	—
542	C₂²×C₄	—	4	2	no	—
543	C₂²×C₄	—	4	2	no	—
544	C₂²×C₄	—	4	2	no	—
545	C₂²×C₄	—	4	2	no	—
546	C₂²×C₄	—	8	1	no	—
547	C₂²×C₄	—	8	1	no	—
548	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
549	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
550	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
551	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
552	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
553	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
554	C₂²×C₄	C₁₃×#41	1	2	yes	—
555	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
556	M₁₆	—	4	4	no	—
557	C₂×C₈	—	2	1	no	—
558	C₂×C₈	—	2	1	no	—
559	C₂×C₈	—	2	1	no	—
560	C₂×C₈	—	2	1	no	—
561	C₂×C₈	—	2	1	no	—
562	C₂×C₈	—	2	1	no	—
563	C₂×C₈	—	2	1	no	—
564	C₂×C₈	—	2	1	no	—
565	C₂×C₈	—	2	1	no	—
566	C₂×C₈	—	2	1	no	—
567	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
568	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
569	C₄⋊C₄	—	2	1	no	—
570	C₄⋊C₄	—	2	1	no	—
571	C₄⋊C₄	—	2	1	no	—
572	C₄⋊C₄	—	2	1	no	—
573	C₄⋊C₄	—	2	1	no	—
574	C₄⋊C₄	—	2	1	no	—
575	C₄⋊C₄	—	2	1	no	—
576	C₄⋊C₄	—	2	1	no	—
577	C₄⋊C₄	—	2	1	no	—
578	C₄⋊C₄	—	2	1	no	—
579	C₄⋊C₄	—	8	1	no	—
580	C₄⋊C₄	—	8	1	no	—
581	C₄⋊C₄	C₂²×C₄×C₁₃	1	2	yes	—
582	C₄⋊C₄	C₂²×C₄×C₁₃	1	2	yes	—
583	C₂²⋊C₄	—	2	4	no	—
584	C₂²⋊C₄	—	2	2	no	—
585	C₂²⋊C₄	—	4	1	no	—
586	C₂²⋊C₄	—	4	2	no	—
587	C₂²⋊C₄	—	4	2	no	—
588	C₂²⋊C₄	—	4	2	no	—
589	C₂²⋊C₄	—	4	2	no	—
590	C₂²⋊C₄	—	4	2	no	—
591	C₂²⋊C₄	—	8	1	no	—
592	C₂²⋊C₄	—	8	1	no	—
593	C₂²⋊C₄	—	8	1	no	—
594	C₄²	—	2	4	no	—
595	C₄²	—	2	1	no	—
596	C₄²	—	2	1	no	—
597	C₄²	—	2	1	no	—
598	C₄²	—	2	1	no	—
599	C₄²	—	4	2	no	—
600	C₄²	—	4	2	no	—
601	C₁₃	#22584	1	1	yes	characteristic, direct product factor, Sylow
602	C₂³	—	2	2	no	—
603	C₂³	—	2	2	no	—
604	C₂³	—	2	2	no	—
605	C₂³	—	2	1	no	—
606	C₂³	—	2	1	no	—
607	C₂³	—	2	1	no	—
608	C₂³	—	2	1	no	—
609	C₂³	—	2	1	no	—
610	C₂³	—	2	1	no	—
611	C₂³	—	2	2	no	—
612	C₂³	—	4	8	no	—
613	C₂³	—	4	8	no	—
614	C₂³	—	4	1	no	—
615	C₂³	—	4	1	no	—
616	C₂³	—	4	1	no	—
617	C₂³	—	4	1	no	—
618	C₂³	—	4	1	no	—
619	C₂³	—	4	1	no	—
620	C₂³	—	4	1	no	—
621	C₂³	—	4	1	no	—
622	C₂³	—	4	1	no	—
623	C₂³	—	4	1	no	—
624	C₂³	—	8	4	no	—
625	C₂³	—	8	4	no	—
626	C₂³	—	8	4	no	—
627	C₂³	—	8	4	no	—
628	C₂³	—	8	4	no	—
629	C₂³	C₄×D₄×C₁₃	1	2	yes	—
630	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
631	D₄	—	2	2	no	—
632	D₄	—	2	2	no	—
633	D₄	—	2	2	no	—
634	D₄	—	2	2	no	—
635	D₄	—	2	2	no	—
636	D₄	—	4	8	no	—
637	D₄	—	4	1	no	—
638	D₄	—	4	1	no	—
639	D₄	C₁₃×#117	1	4	yes	—
640	C₂×C₄	—	2	1	no	—
641	C₂×C₄	—	2	1	no	—
642	C₂×C₄	—	2	1	no	—
643	C₂×C₄	—	2	1	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	2	2	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	4	1	no	—
660	C₂×C₄	—	4	1	no	—
661	C₂×C₄	—	4	1	no	—
662	C₂×C₄	—	4	1	no	—
663	C₂×C₄	—	4	1	no	—
664	C₂×C₄	—	4	1	no	—
665	C₂×C₄	—	4	1	no	—
666	C₂×C₄	—	4	1	no	—
667	C₂×C₄	—	4	1	no	—
668	C₂×C₄	—	4	1	no	—
669	C₂×C₄	—	4	1	no	—
670	C₂×C₄	—	4	1	no	—
671	C₂×C₄	—	4	1	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	1	no	—
674	C₂×C₄	—	4	1	no	—
675	C₂×C₄	—	8	4	no	—
676	C₂×C₄	—	8	4	no	—
677	C₂×C₄	C₄×D₄×C₁₃	1	2	yes	—
678	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	2	yes	—
679	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
680	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
681	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
682	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
683	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
684	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
685	C₈	—	2	2	no	—
686	C₈	—	2	2	no	—
687	C₈	—	4	1	no	—
688	C₈	—	4	1	no	—
689	C₂²	—	2	2	no	—
690	C₂²	—	2	4	no	—
691	C₂²	—	2	2	no	—
692	C₂²	—	2	2	no	—
693	C₂²	—	4	2	no	—
694	C₂²	—	4	1	no	—
695	C₂²	—	4	1	no	—
696	C₂²	—	4	2	no	—
697	C₂²	—	4	1	no	—
698	C₂²	—	4	2	no	—
699	C₂²	—	4	2	no	—
700	C₂²	—	4	1	no	—
701	C₂²	—	4	2	no	—
702	C₂²	—	4	2	no	—
703	C₂²	—	4	2	no	—
704	C₂²	—	4	2	no	—
705	C₂²	—	4	2	no	—
706	C₂²	—	8	16	no	—
707	C₂²	—	8	1	no	—
708	C₂²	—	8	1	no	—
709	C₂²	—	8	1	no	—
710	C₂²	—	8	1	no	—
711	C₂²	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
712	C₂²	C₁₃×#546	1	1	yes	characteristic
713	C₂²	C₁₃×#546	1	1	yes	characteristic
714	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
715	C₂²	C₁₃×#575	1	1	yes	characteristic
716	C₂²	C₁₃×#576	1	1	yes	characteristic
717	C₂²	C₁₃×#577	1	1	yes	characteristic
718	C₄	—	2	2	no	—
719	C₄	—	2	2	no	—
720	C₄	—	4	1	no	—
721	C₄	—	4	1	no	—
722	C₄	—	4	1	no	—
723	C₄	—	4	2	no	—
724	C₄	—	4	2	no	—
725	C₄	—	8	1	no	—
726	C₄	—	8	1	no	—
727	C₄	—	8	1	no	—
728	C₄	—	8	1	no	—
729	C₄	C₂×C₁₃×#117	1	1	yes	characteristic
730	C₄	C₁₃×#518	1	1	yes	characteristic
731	C₄	C₁₃×#551	1	1	yes	characteristic
732	C₄	C₁₃×#551	1	1	yes	characteristic
733	C₂	—	4	2	no	—
734	C₂	—	4	4	no	—
735	C₂	—	8	2	no	—
736	C₂	C₁₃×#2342	1	1	yes	characteristic
737	C₂	C₄×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
738	C₂	C₁₃×#2946	1	1	yes	characteristic
739	C₂	C₁₃×#3310	1	1	yes	characteristic
740	C₂	C₁₃×#3319	1	1	yes	characteristic
741	C₂	C₁₃×#3323	1	1	yes	characteristic
742	C₂	C₁₃×#3325	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂³×D₄×C₁₃	C₂²
LCS	G ▷ C₂×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
2. C₁₃×#2346	C₂	semidirect
4. C₁₃×#1936	C₂	semidirect
5. C₁₃×#1934	C₂	semidirect
6. C₁₃×#1926	C₂	semidirect
7. C₁₃×#1925	C₂	semidirect
8. C₁₃×#1864	C₂	semidirect
9. C₁₃×#1862	C₂	semidirect
10. C₁₃×#1825	C₂	semidirect
11. C₁₃×#1809	C₂	semidirect
13. C₁₃×#1762	C₂	semidirect
14. C₄×C₁₃×#102	C₂	semidirect
15. C₁₃×#1753	C₂	semidirect
22. C₂×C₁₃×#107	C₂²	semidirect
23. C₂×C₁₃×#106	C₂²	semidirect
24. C₁₃×#418	C₄	semidirect
34. C₂×C₁₃×#97	C₂²	semidirect
35. C₂×C₄×C₈×C₁₃	C₂²	semidirect
38. C₁₃×#389	C₂²	semidirect
39. C₁₃×#389	C₂²	semidirect
48. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
49. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
52. C₁₃×#340	C₂²	semidirect
53. C₁₃×#340	C₂²	semidirect
54. C₁₃×#340	C₂²	semidirect
55. C₁₃×#340	C₂²	semidirect
56. C₁₃×#340	C₂²	semidirect
57. C₁₃×#340	C₂²	semidirect
58. C₁₃×#336	C₂²	semidirect
59. C₁₃×#336	C₂²	semidirect
75. C₂×C₁₃×M₁₆	C₂×C₄	semidirect
85. C₁₃×#117	C₂×C₄	semidirect
119. C₁₃×#102	C₂×C₄	semidirect
120. C₁₃×#102	C₂×C₄	semidirect
132. #22584	C₁₃	direct (N × H)
232. #2346	C₂×C₁₃	semidirect
234. #1936	C₂×C₁₃	semidirect
235. #1934	C₂×C₁₃	semidirect
236. #1926	C₂×C₁₃	semidirect
237. #1925	C₂×C₁₃	semidirect
238. #1864	C₂×C₁₃	semidirect
239. #1862	C₂×C₁₃	semidirect
240. #1825	C₂×C₁₃	semidirect
241. #1809	C₂×C₁₃	semidirect
243. #1762	C₂×C₁₃	semidirect
244. C₄×#102	C₂×C₁₃	semidirect
245. #1753	C₂×C₁₃	semidirect
339. C₂×#107	C₂²×C₁₃	semidirect
340. C₂×#106	C₂²×C₁₃	semidirect
341. #418	C₄×C₁₃	semidirect
351. C₂×#97	C₂²×C₁₃	semidirect
352. C₂×C₄×C₈	C₂²×C₁₃	semidirect
355. #389	C₂²×C₁₃	semidirect
356. #389	C₂²×C₁₃	semidirect
365. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
366. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
369. #340	C₂²×C₁₃	semidirect
370. #340	C₂²×C₁₃	semidirect
371. #340	C₂²×C₁₃	semidirect
372. #340	C₂²×C₁₃	semidirect
373. #340	C₂²×C₁₃	semidirect
374. #340	C₂²×C₁₃	semidirect
375. #336	C₂²×C₁₃	semidirect
376. #336	C₂²×C₁₃	semidirect
436. C₂×M₁₆	C₂×C₄×C₁₃	semidirect
446. #117	C₂×C₄×C₁₃	semidirect
480. #102	C₂×C₄×C₁₃	semidirect
481. #102	C₂×C₄×C₁₃	semidirect
601. C₁₃	#22584	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×#418	2
C₁₃×#2346	2
D₄×C₁₃×C₂²⋊C₄	2
C₁₃×#1936	2
C₁₃×#1934	2
C₁₃×#1926	2
C₁₃×#1925	2
C₁₃×#1864	2
C₁₃×#1862	2
C₁₃×#1825	2
C₁₃×#1809	2
C₁₃×#1786	2
C₁₃×#1762	2
C₄×C₁₃×#102	2
C₁₃×#1753	2
#22584	13

Subgroups — C13×#22584 #15708923

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#22584 #15708923