Subgroups — C₁₃×#19070 #15705409

Order 3328.

844 conjugacy classes of subgroups.

The subgroup lattice has 826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3234	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#1664	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#1663	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1661	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#1660	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1658	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1657	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1657	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1656	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1535	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1529	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1528	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#564	C₂²	1	1	yes	characteristic
17	C₁₃×#563	C₂²	1	1	yes	characteristic
18	C₁₃×#563	C₂²	1	1	yes	characteristic
19	C₁₃×#562	C₂²	1	1	yes	characteristic
20	C₁₃×#554	—	2	1	no	—
21	C₁₃×#554	—	2	1	no	—
22	C₁₃×#553	—	2	1	no	—
23	C₁₃×#553	—	2	1	no	—
24	C₁₃×#552	—	2	1	no	—
25	C₁₃×#552	—	2	1	no	—
26	C₁₃×#541	—	2	1	no	—
27	C₁₃×#541	—	2	1	no	—
28	C₁₃×#539	—	2	1	no	—
29	C₁₃×#539	—	2	1	no	—
30	C₁₃×#539	—	2	1	no	—
31	C₁₃×#539	—	2	1	no	—
32	C₁₃×#532	C₂²	1	1	yes	characteristic
33	C₁₃×#529	C₂²	1	1	yes	characteristic
34	C₁₃×#529	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
36	C₁₃×#501	C₂²	1	1	yes	characteristic
37	C₁₃×#501	C₂²	1	1	yes	characteristic
38	C₁₃×#501	C₂²	1	1	yes	characteristic
39	C₁₃×#497	C₂²	1	1	yes	characteristic
40	C₁₃×#496	C₂²	1	1	yes	characteristic
41	C₁₃×#496	C₂²	1	1	yes	characteristic
42	C₁₃×#491	C₂²	1	1	yes	characteristic
43	C₁₃×#490	C₂²	1	1	yes	characteristic
44	C₁₃×#490	C₂²	1	1	yes	characteristic
45	C₁₃×#490	C₂²	1	1	yes	characteristic
46	C₁₃×#490	C₂²	1	1	yes	characteristic
47	C₁₃×#489	C₂²	1	1	yes	characteristic
48	C₁₃×#481	—	2	1	no	—
49	C₁₃×#480	—	2	1	no	—
50	C₁₃×#478	—	2	1	no	—
51	C₁₃×#478	—	2	1	no	—
52	C₁₃×#469	—	2	1	no	—
53	C₁₃×#468	—	2	1	no	—
54	C₁₃×#464	—	2	1	no	—
55	C₁₃×#463	—	2	1	no	—
56	C₁₃×#452	—	2	1	no	—
57	C₁₃×#449	—	2	1	no	—
58	C₄×C₁₃×SD₁₆	—	2	1	no	—
59	C₄×C₁₃×D₈	—	2	1	no	—
60	C₁₃×#432	C₂²	1	1	yes	characteristic
61	C₁₃×#432	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
63	C₁₃×#330	C₂²	1	1	yes	characteristic
64	C₁₃×#330	C₂²	1	1	yes	characteristic
65	C₁₃×#330	C₂²	1	1	yes	characteristic
66	C₁₃×#330	C₂²	1	1	yes	characteristic
67	C₁₃×#330	C₂²	1	1	yes	characteristic
68	C₁₃×#330	C₂²	1	1	yes	characteristic
69	C₁₃×#330	C₂²	1	1	yes	characteristic
70	C₁₃×#330	C₂²	1	1	yes	characteristic
71	C₁₃×#329	C₂²	1	1	yes	characteristic
72	C₁₃×#329	C₂²	1	1	yes	characteristic
73	C₁₃×#329	C₂²	1	1	yes	characteristic
74	C₁₃×#329	C₂²	1	1	yes	characteristic
75	C₂×C₁₃×#41	—	2	1	no	—
76	C₂×C₁₃×Q₁₆	—	2	1	no	—
77	C₂×C₁₃×SD₁₆	—	2	1	no	—
78	C₂×C₁₃×SD₁₆	—	2	1	no	—
79	C₂×C₁₃×SD₁₆	—	2	1	no	—
80	C₂×C₁₃×D₈	—	2	1	no	—
81	C₂×C₁₃×D₈	—	2	1	no	—
82	C₂×C₁₃×M₁₆	—	2	1	no	—
83	C₁₃×C₄⋊Q₈	—	2	1	no	—
84	C₁₃×C₄⋊Q₈	—	2	1	no	—
85	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
86	C₁₃×#127	C₂³	1	1	yes	characteristic
87	C₁₃×#126	—	2	1	no	—
88	C₁₃×#126	—	2	1	no	—
89	C₁₃×#126	—	2	1	no	—
90	C₁₃×#126	—	2	1	no	—
91	C₁₃×#126	—	2	1	no	—
92	C₁₃×#126	—	2	1	no	—
93	C₁₃×#126	—	2	1	no	—
94	C₁₃×#126	—	2	1	no	—
95	C₁₃×#126	—	2	1	no	—
96	C₁₃×#126	—	2	1	no	—
97	C₁₃×#125	—	2	1	no	—
98	C₁₃×#125	—	2	1	no	—
99	C₁₃×#125	—	2	1	no	—
100	C₁₃×#125	—	2	1	no	—
101	C₁₃×#125	—	2	1	no	—
102	C₁₃×#125	—	2	1	no	—
103	C₁₃×#125	—	2	1	no	—
104	C₁₃×#125	—	2	1	no	—
105	C₁₃×#125	—	2	1	no	—
106	C₁₃×#125	—	2	1	no	—
107	C₁₃×#125	—	2	1	no	—
108	C₁₃×#125	—	2	1	no	—
109	C₁₃×#125	D₄	1	1	yes	characteristic
110	C₁₃×#125	D₄	1	1	yes	characteristic
111	C₁₃×#125	C₂³	1	1	yes	characteristic
112	C₁₃×#125	C₂³	1	1	yes	characteristic
113	C₁₃×#125	C₂³	1	1	yes	characteristic
114	C₁₃×#125	C₂³	1	1	yes	characteristic
115	C₁₃×#124	—	2	1	no	—
116	C₁₃×#124	C₂³	1	1	yes	characteristic
117	C₁₃×#124	C₂³	1	1	yes	characteristic
118	C₁₃×#123	—	2	1	no	—
119	C₁₃×#123	—	2	1	no	—
120	C₁₃×#123	—	2	1	no	—
121	C₁₃×#123	—	2	1	no	—
122	C₁₃×#123	—	2	1	no	—
123	C₁₃×#123	—	2	1	no	—
124	C₁₃×#123	—	2	1	no	—
125	C₁₃×#123	—	2	1	no	—
126	C₁₃×#123	—	2	1	no	—
127	C₁₃×#123	—	2	1	no	—
128	C₁₃×C₂²⋊Q₈	—	2	1	no	—
129	C₁₃×C₂²⋊Q₈	—	2	1	no	—
130	C₁₃×C₂²⋊Q₈	—	2	1	no	—
131	C₁₃×C₂²⋊Q₈	—	2	1	no	—
132	C₁₃×C₂²⋊Q₈	—	2	1	no	—
133	C₁₃×C₂²⋊Q₈	—	2	1	no	—
134	C₁₃×C₂²⋊Q₈	—	2	1	no	—
135	C₁₃×C₂²⋊Q₈	—	2	1	no	—
136	C₁₃×C₂²⋊Q₈	—	2	1	no	—
137	C₁₃×C₂²⋊Q₈	—	2	1	no	—
138	C₁₃×C₂²⋊Q₈	—	2	1	no	—
139	C₁₃×C₂²⋊Q₈	—	2	1	no	—
140	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
141	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
142	C₁₃×#121	—	2	1	no	—
143	C₁₃×#121	—	2	1	no	—
144	C₁₃×#121	—	2	1	no	—
145	C₁₃×#121	—	2	1	no	—
146	C₁₃×#121	—	2	1	no	—
147	C₁₃×#121	—	2	1	no	—
148	C₁₃×#121	D₄	1	1	yes	characteristic
149	C₁₃×#121	D₄	1	1	yes	characteristic
150	C₄×Q₈×C₁₃	—	2	1	no	—
151	C₄×Q₈×C₁₃	—	2	1	no	—
152	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
153	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
154	C₄×D₄×C₁₃	—	2	1	no	—
155	C₄×D₄×C₁₃	—	2	1	no	—
156	C₄×D₄×C₁₃	—	2	1	no	—
157	C₄×D₄×C₁₃	—	2	1	no	—
158	C₄×D₄×C₁₃	—	2	1	no	—
159	C₄×D₄×C₁₃	—	2	1	no	—
160	C₄×D₄×C₁₃	—	2	1	no	—
161	C₄×D₄×C₁₃	—	2	1	no	—
162	C₄×D₄×C₁₃	—	2	1	no	—
163	C₄×D₄×C₁₃	—	2	1	no	—
164	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
165	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
166	C₁₃×#117	—	2	1	no	—
167	C₁₃×#117	—	2	1	no	—
168	C₁₃×#117	—	2	1	no	—
169	C₁₃×#117	—	2	1	no	—
170	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
171	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
172	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
173	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
174	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
175	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
176	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
177	C₁₃×#107	—	2	1	no	—
178	C₁₃×#107	—	2	1	no	—
179	C₁₃×#107	—	2	1	no	—
180	C₁₃×#106	—	2	1	no	—
181	C₁₃×#106	—	2	1	no	—
182	C₁₃×#106	—	2	1	no	—
183	C₁₃×C₄⋊C₈	—	2	1	no	—
184	C₁₃×C₄⋊C₈	—	2	1	no	—
185	C₁₃×#103	—	2	1	no	—
186	C₁₃×#103	—	2	1	no	—
187	C₁₃×#103	—	2	1	no	—
188	C₁₃×#102	—	2	1	no	—
189	C₁₃×#102	—	2	1	no	—
190	C₁₃×#102	—	2	1	no	—
191	C₁₃×#102	—	2	1	no	—
192	C₁₃×#102	—	2	1	no	—
193	C₁₃×#102	—	2	1	no	—
194	C₁₃×#102	—	2	1	no	—
195	C₁₃×#102	—	2	1	no	—
196	C₁₃×#102	—	2	1	no	—
197	C₁₃×C₂²⋊C₈	—	2	1	no	—
198	C₁₃×C₂²⋊C₈	—	2	1	no	—
199	C₁₃×#97	C₂³	1	1	yes	characteristic
200	C₁₃×#97	C₂³	1	1	yes	characteristic
201	C₁₃×#97	C₂³	1	1	yes	characteristic
202	C₁₃×#97	C₂³	1	1	yes	characteristic
203	C₁₃×#97	C₂³	1	1	yes	characteristic
204	C₁₃×#97	C₂³	1	1	yes	characteristic
205	C₄×C₈×C₁₃	—	2	1	no	—
206	#19070	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
207	C₁₃×#41	—	8	1	no	—
208	C₁₃×#41	—	8	1	no	—
209	C₂×Q₈×C₁₃	—	2	1	no	—
210	C₂×Q₈×C₁₃	—	2	1	no	—
211	C₂×Q₈×C₁₃	—	2	1	no	—
212	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
213	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
214	C₂×D₄×C₁₃	—	2	1	no	—
215	C₂×D₄×C₁₃	—	2	1	no	—
216	C₂×D₄×C₁₃	—	2	1	no	—
217	C₂×D₄×C₁₃	—	2	1	no	—
218	C₂×D₄×C₁₃	—	2	1	no	—
219	C₂×D₄×C₁₃	—	2	1	no	—
220	C₂×D₄×C₁₃	—	2	1	no	—
221	C₂×D₄×C₁₃	—	4	1	no	—
222	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
223	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
224	C₂²×C₄×C₁₃	—	2	1	no	—
225	C₂²×C₄×C₁₃	—	2	1	no	—
226	C₂²×C₄×C₁₃	—	2	1	no	—
227	C₂²×C₄×C₁₃	—	2	1	no	—
228	C₂²×C₄×C₁₃	—	2	1	no	—
229	C₂²×C₄×C₁₃	—	2	1	no	—
230	C₂²×C₄×C₁₃	—	2	1	no	—
231	C₂²×C₄×C₁₃	—	2	1	no	—
232	C₂²×C₄×C₁₃	—	4	1	no	—
233	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
234	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
235	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
236	C₁₃×Q₁₆	—	8	1	no	—
237	C₁₃×SD₁₆	—	4	2	no	—
238	C₁₃×SD₁₆	—	8	1	no	—
239	C₁₃×SD₁₆	—	8	1	no	—
240	C₁₃×D₈	—	4	2	no	—
241	C₁₃×D₈	—	8	1	no	—
242	C₁₃×M₁₆	—	4	2	no	—
243	C₂×C₈×C₁₃	—	2	1	no	—
244	C₂×C₈×C₁₃	—	2	1	no	—
245	C₂×C₈×C₁₃	—	2	1	no	—
246	C₂×C₈×C₁₃	—	2	1	no	—
247	C₂×C₈×C₁₃	—	2	1	no	—
248	C₂×C₈×C₁₃	—	2	1	no	—
249	C₁₃×C₄⋊C₄	—	2	1	no	—
250	C₁₃×C₄⋊C₄	—	2	1	no	—
251	C₁₃×C₄⋊C₄	—	2	1	no	—
252	C₁₃×C₄⋊C₄	—	2	1	no	—
253	C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₁₃×C₄⋊C₄	—	2	1	no	—
255	C₁₃×C₄⋊C₄	—	2	1	no	—
256	C₁₃×C₄⋊C₄	—	2	1	no	—
257	C₁₃×C₄⋊C₄	—	2	1	no	—
258	C₁₃×C₄⋊C₄	—	2	1	no	—
259	C₁₃×C₄⋊C₄	—	2	1	no	—
260	C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₁₃×C₄⋊C₄	—	2	1	no	—
262	C₁₃×C₄⋊C₄	—	2	1	no	—
263	C₁₃×C₄⋊C₄	—	2	1	no	—
264	C₁₃×C₄⋊C₄	—	2	1	no	—
265	C₁₃×C₄⋊C₄	—	2	1	no	—
266	C₁₃×C₄⋊C₄	—	2	1	no	—
267	C₁₃×C₄⋊C₄	—	2	1	no	—
268	C₁₃×C₄⋊C₄	—	2	1	no	—
269	C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₁₃×C₄⋊C₄	—	2	1	no	—
271	C₁₃×C₄⋊C₄	—	2	1	no	—
272	C₁₃×C₄⋊C₄	—	2	1	no	—
273	C₁₃×C₄⋊C₄	—	2	1	no	—
274	C₁₃×C₄⋊C₄	—	2	1	no	—
275	C₁₃×C₄⋊C₄	—	2	1	no	—
276	C₁₃×C₄⋊C₄	—	2	1	no	—
277	C₁₃×C₄⋊C₄	—	2	1	no	—
278	C₁₃×C₄⋊C₄	—	2	1	no	—
279	C₁₃×C₄⋊C₄	—	2	1	no	—
280	C₁₃×C₄⋊C₄	—	2	1	no	—
281	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
282	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
283	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
284	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
285	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
286	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
287	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
288	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
289	C₁₃×C₂²⋊C₄	—	2	1	no	—
290	C₁₃×C₂²⋊C₄	—	2	1	no	—
291	C₁₃×C₂²⋊C₄	—	2	1	no	—
292	C₁₃×C₂²⋊C₄	—	2	1	no	—
293	C₁₃×C₂²⋊C₄	—	2	1	no	—
294	C₁₃×C₂²⋊C₄	—	2	1	no	—
295	C₁₃×C₂²⋊C₄	—	2	1	no	—
296	C₁₃×C₂²⋊C₄	—	2	1	no	—
297	C₁₃×C₂²⋊C₄	—	2	1	no	—
298	C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₁₃×C₂²⋊C₄	—	2	1	no	—
301	C₁₃×C₂²⋊C₄	—	2	1	no	—
302	C₁₃×C₂²⋊C₄	—	2	1	no	—
303	C₁₃×C₂²⋊C₄	—	2	1	no	—
304	C₁₃×C₂²⋊C₄	—	2	1	no	—
305	C₁₃×C₂²⋊C₄	—	2	1	no	—
306	C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₁₃×C₂²⋊C₄	—	4	1	no	—
308	C₁₃×C₂²⋊C₄	—	4	1	no	—
309	C₄²×C₁₃	—	2	1	no	—
310	C₄²×C₁₃	—	2	1	no	—
311	C₄²×C₁₃	—	2	1	no	—
312	C₄²×C₁₃	—	2	1	no	—
313	C₄²×C₁₃	—	2	1	no	—
314	C₄²×C₁₃	—	2	1	no	—
315	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
316	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
317	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
318	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
319	#3553	C₂×C₁₃	1	1	yes	characteristic, complemented
320	#3234	C₂×C₁₃	1	1	yes	characteristic, complemented
321	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
322	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
323	#1664	C₂×C₁₃	1	1	yes	characteristic, complemented
324	#1663	C₂×C₁₃	1	1	yes	characteristic, complemented
325	#1661	C₂×C₁₃	1	1	yes	characteristic, complemented
326	#1660	C₂×C₁₃	1	1	yes	characteristic, complemented
327	#1658	C₂×C₁₃	1	1	yes	characteristic, complemented
328	#1657	C₂×C₁₃	1	1	yes	characteristic, complemented
329	#1657	C₂×C₁₃	1	1	yes	characteristic, complemented
330	#1656	C₂×C₁₃	1	1	yes	characteristic, complemented
331	#1535	C₂×C₁₃	1	1	yes	characteristic, complemented
332	#1529	C₂×C₁₃	1	1	yes	characteristic, complemented
333	#1528	C₂×C₁₃	1	1	yes	characteristic, complemented
334	C₂³×C₁₃	—	2	1	no	—
335	C₂³×C₁₃	—	2	1	no	—
336	C₂³×C₁₃	—	4	1	no	—
337	C₂³×C₁₃	#120	1	1	yes	characteristic
338	Q₈×C₁₃	—	4	1	no	—
339	Q₈×C₁₃	—	4	1	no	—
340	Q₈×C₁₃	—	4	1	no	—
341	Q₈×C₁₃	—	4	1	no	—
342	Q₈×C₁₃	—	8	1	no	—
343	Q₈×C₁₃	—	8	1	no	—
344	D₄×C₁₃	—	4	1	no	—
345	D₄×C₁₃	—	4	1	no	—
346	D₄×C₁₃	—	4	1	no	—
347	D₄×C₁₃	—	4	1	no	—
348	D₄×C₁₃	—	4	1	no	—
349	D₄×C₁₃	—	4	1	no	—
350	D₄×C₁₃	—	4	2	no	—
351	D₄×C₁₃	—	4	2	no	—
352	D₄×C₁₃	—	4	2	no	—
353	D₄×C₁₃	—	8	1	no	—
354	D₄×C₁₃	—	8	1	no	—
355	D₄×C₁₃	—	8	2	no	—
356	C₂×C₄×C₁₃	—	2	1	no	—
357	C₂×C₄×C₁₃	—	2	1	no	—
358	C₂×C₄×C₁₃	—	2	1	no	—
359	C₂×C₄×C₁₃	—	2	1	no	—
360	C₂×C₄×C₁₃	—	2	1	no	—
361	C₂×C₄×C₁₃	—	2	1	no	—
362	C₂×C₄×C₁₃	—	2	1	no	—
363	C₂×C₄×C₁₃	—	2	1	no	—
364	C₂×C₄×C₁₃	—	2	1	no	—
365	C₂×C₄×C₁₃	—	2	1	no	—
366	C₂×C₄×C₁₃	—	4	1	no	—
367	C₂×C₄×C₁₃	—	4	1	no	—
368	C₂×C₄×C₁₃	—	4	1	no	—
369	C₂×C₄×C₁₃	—	4	1	no	—
370	C₂×C₄×C₁₃	—	8	1	no	—
371	C₂×C₄×C₁₃	—	8	1	no	—
372	C₂×C₄×C₁₃	—	8	2	no	—
373	C₂×C₄×C₁₃	—	8	1	no	—
374	C₂×C₄×C₁₃	—	8	1	no	—
375	C₂×C₄×C₁₃	—	8	1	no	—
376	C₂×C₄×C₁₃	—	8	1	no	—
377	C₂×C₄×C₁₃	—	8	1	no	—
378	C₂×C₄×C₁₃	—	8	1	no	—
379	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
380	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
381	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
382	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
383	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
384	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
385	C₈×C₁₃	—	2	2	no	—
386	C₈×C₁₃	—	4	1	no	—
387	C₈×C₁₃	—	4	1	no	—
388	C₈×C₁₃	—	4	1	no	—
389	C₈×C₁₃	—	4	1	no	—
390	C₈×C₁₃	—	4	1	no	—
391	#564	C₂²×C₁₃	1	1	yes	characteristic
392	#563	C₂²×C₁₃	1	1	yes	characteristic
393	#563	C₂²×C₁₃	1	1	yes	characteristic
394	#562	C₂²×C₁₃	1	1	yes	characteristic
395	#554	—	2	1	no	—
396	#554	—	2	1	no	—
397	#553	—	2	1	no	—
398	#553	—	2	1	no	—
399	#552	—	2	1	no	—
400	#552	—	2	1	no	—
401	#541	—	2	1	no	—
402	#541	—	2	1	no	—
403	#539	—	2	1	no	—
404	#539	—	2	1	no	—
405	#539	—	2	1	no	—
406	#539	—	2	1	no	—
407	#532	C₂²×C₁₃	1	1	yes	characteristic
408	#529	C₂²×C₁₃	1	1	yes	characteristic
409	#529	C₂²×C₁₃	1	1	yes	characteristic
410	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
411	#501	C₂²×C₁₃	1	1	yes	characteristic
412	#501	C₂²×C₁₃	1	1	yes	characteristic
413	#501	C₂²×C₁₃	1	1	yes	characteristic
414	#497	C₂²×C₁₃	1	1	yes	characteristic
415	#496	C₂²×C₁₃	1	1	yes	characteristic
416	#496	C₂²×C₁₃	1	1	yes	characteristic
417	#491	C₂²×C₁₃	1	1	yes	characteristic
418	#490	C₂²×C₁₃	1	1	yes	characteristic
419	#490	C₂²×C₁₃	1	1	yes	characteristic
420	#490	C₂²×C₁₃	1	1	yes	characteristic
421	#490	C₂²×C₁₃	1	1	yes	characteristic
422	#489	C₂²×C₁₃	1	1	yes	characteristic
423	#481	—	2	1	no	—
424	#480	—	2	1	no	—
425	#478	—	2	1	no	—
426	#478	—	2	1	no	—
427	#469	—	2	1	no	—
428	#468	—	2	1	no	—
429	#464	—	2	1	no	—
430	#463	—	2	1	no	—
431	#452	—	2	1	no	—
432	#449	—	2	1	no	—
433	C₄×SD₁₆	—	2	1	no	—
434	C₄×D₈	—	2	1	no	—
435	#432	C₂²×C₁₃	1	1	yes	characteristic
436	#432	C₂²×C₁₃	1	1	yes	characteristic
437	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
438	#330	C₂²×C₁₃	1	1	yes	characteristic
439	#330	C₂²×C₁₃	1	1	yes	characteristic
440	#330	C₂²×C₁₃	1	1	yes	characteristic
441	#330	C₂²×C₁₃	1	1	yes	characteristic
442	#330	C₂²×C₁₃	1	1	yes	characteristic
443	#330	C₂²×C₁₃	1	1	yes	characteristic
444	#330	C₂²×C₁₃	1	1	yes	characteristic
445	#330	C₂²×C₁₃	1	1	yes	characteristic
446	#329	C₂²×C₁₃	1	1	yes	characteristic
447	#329	C₂²×C₁₃	1	1	yes	characteristic
448	#329	C₂²×C₁₃	1	1	yes	characteristic
449	#329	C₂²×C₁₃	1	1	yes	characteristic
450	C₂²×C₁₃	—	2	1	no	—
451	C₂²×C₁₃	—	2	1	no	—
452	C₂²×C₁₃	—	2	1	no	—
453	C₂²×C₁₃	—	4	1	no	—
454	C₂²×C₁₃	—	4	1	no	—
455	C₂²×C₁₃	—	4	1	no	—
456	C₂²×C₁₃	—	4	1	no	—
457	C₂²×C₁₃	—	4	1	no	—
458	C₂²×C₁₃	—	4	1	no	—
459	C₂²×C₁₃	—	8	1	no	—
460	C₂²×C₁₃	—	8	1	no	—
461	C₂²×C₁₃	—	8	1	no	—
462	C₂²×C₁₃	C₂×#120	1	1	yes	characteristic
463	C₄×C₁₃	—	2	1	no	—
464	C₄×C₁₃	—	2	1	no	—
465	C₄×C₁₃	—	2	1	no	—
466	C₄×C₁₃	—	2	1	no	—
467	C₄×C₁₃	—	2	1	no	—
468	C₄×C₁₃	—	2	1	no	—
469	C₄×C₁₃	—	4	1	no	—
470	C₄×C₁₃	—	4	1	no	—
471	C₄×C₁₃	—	4	1	no	—
472	C₄×C₁₃	—	4	1	no	—
473	C₄×C₁₃	—	4	1	no	—
474	C₄×C₁₃	—	4	1	no	—
475	C₄×C₁₃	—	4	1	no	—
476	C₄×C₁₃	—	4	1	no	—
477	C₄×C₁₃	—	4	1	no	—
478	C₄×C₁₃	—	4	1	no	—
479	C₄×C₁₃	—	8	1	no	—
480	C₂×#41	—	2	1	no	—
481	C₂×Q₁₆	—	2	1	no	—
482	C₂×SD₁₆	—	2	1	no	—
483	C₂×SD₁₆	—	2	1	no	—
484	C₂×SD₁₆	—	2	1	no	—
485	C₂×D₈	—	2	1	no	—
486	C₂×D₈	—	2	1	no	—
487	C₂×M₁₆	—	2	1	no	—
488	C₄⋊Q₈	—	2	1	no	—
489	C₄⋊Q₈	—	2	1	no	—
490	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
491	#127	C₂³×C₁₃	1	1	yes	characteristic
492	#126	—	2	1	no	—
493	#126	—	2	1	no	—
494	#126	—	2	1	no	—
495	#126	—	2	1	no	—
496	#126	—	2	1	no	—
497	#126	—	2	1	no	—
498	#126	—	2	1	no	—
499	#126	—	2	1	no	—
500	#126	—	2	1	no	—
501	#126	—	2	1	no	—
502	#125	—	2	1	no	—
503	#125	—	2	1	no	—
504	#125	—	2	1	no	—
505	#125	—	2	1	no	—
506	#125	—	2	1	no	—
507	#125	—	2	1	no	—
508	#125	—	2	1	no	—
509	#125	—	2	1	no	—
510	#125	—	2	1	no	—
511	#125	—	2	1	no	—
512	#125	—	2	1	no	—
513	#125	—	2	1	no	—
514	#125	D₄×C₁₃	1	1	yes	characteristic
515	#125	D₄×C₁₃	1	1	yes	characteristic
516	#125	C₂³×C₁₃	1	1	yes	characteristic
517	#125	C₂³×C₁₃	1	1	yes	characteristic
518	#125	C₂³×C₁₃	1	1	yes	characteristic
519	#125	C₂³×C₁₃	1	1	yes	characteristic
520	#124	—	2	1	no	—
521	#124	C₂³×C₁₃	1	1	yes	characteristic
522	#124	C₂³×C₁₃	1	1	yes	characteristic
523	#123	—	2	1	no	—
524	#123	—	2	1	no	—
525	#123	—	2	1	no	—
526	#123	—	2	1	no	—
527	#123	—	2	1	no	—
528	#123	—	2	1	no	—
529	#123	—	2	1	no	—
530	#123	—	2	1	no	—
531	#123	—	2	1	no	—
532	#123	—	2	1	no	—
533	C₂²⋊Q₈	—	2	1	no	—
534	C₂²⋊Q₈	—	2	1	no	—
535	C₂²⋊Q₈	—	2	1	no	—
536	C₂²⋊Q₈	—	2	1	no	—
537	C₂²⋊Q₈	—	2	1	no	—
538	C₂²⋊Q₈	—	2	1	no	—
539	C₂²⋊Q₈	—	2	1	no	—
540	C₂²⋊Q₈	—	2	1	no	—
541	C₂²⋊Q₈	—	2	1	no	—
542	C₂²⋊Q₈	—	2	1	no	—
543	C₂²⋊Q₈	—	2	1	no	—
544	C₂²⋊Q₈	—	2	1	no	—
545	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
546	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
547	#121	—	2	1	no	—
548	#121	—	2	1	no	—
549	#121	—	2	1	no	—
550	#121	—	2	1	no	—
551	#121	—	2	1	no	—
552	#121	—	2	1	no	—
553	#121	D₄×C₁₃	1	1	yes	characteristic
554	#121	D₄×C₁₃	1	1	yes	characteristic
555	C₄×Q₈	—	2	1	no	—
556	C₄×Q₈	—	2	1	no	—
557	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
558	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
559	C₄×D₄	—	2	1	no	—
560	C₄×D₄	—	2	1	no	—
561	C₄×D₄	—	2	1	no	—
562	C₄×D₄	—	2	1	no	—
563	C₄×D₄	—	2	1	no	—
564	C₄×D₄	—	2	1	no	—
565	C₄×D₄	—	2	1	no	—
566	C₄×D₄	—	2	1	no	—
567	C₄×D₄	—	2	1	no	—
568	C₄×D₄	—	2	1	no	—
569	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
570	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
571	#117	—	2	1	no	—
572	#117	—	2	1	no	—
573	#117	—	2	1	no	—
574	#117	—	2	1	no	—
575	C₂×C₄⋊C₄	—	2	1	no	—
576	C₂×C₄⋊C₄	—	2	1	no	—
577	C₂×C₄⋊C₄	—	2	1	no	—
578	C₂×C₄⋊C₄	—	2	1	no	—
579	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
580	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
581	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
582	#107	—	2	1	no	—
583	#107	—	2	1	no	—
584	#107	—	2	1	no	—
585	#106	—	2	1	no	—
586	#106	—	2	1	no	—
587	#106	—	2	1	no	—
588	C₄⋊C₈	—	2	1	no	—
589	C₄⋊C₈	—	2	1	no	—
590	#103	—	2	1	no	—
591	#103	—	2	1	no	—
592	#103	—	2	1	no	—
593	#102	—	2	1	no	—
594	#102	—	2	1	no	—
595	#102	—	2	1	no	—
596	#102	—	2	1	no	—
597	#102	—	2	1	no	—
598	#102	—	2	1	no	—
599	#102	—	2	1	no	—
600	#102	—	2	1	no	—
601	#102	—	2	1	no	—
602	C₂²⋊C₈	—	2	1	no	—
603	C₂²⋊C₈	—	2	1	no	—
604	#97	C₂³×C₁₃	1	1	yes	characteristic
605	#97	C₂³×C₁₃	1	1	yes	characteristic
606	#97	C₂³×C₁₃	1	1	yes	characteristic
607	#97	C₂³×C₁₃	1	1	yes	characteristic
608	#97	C₂³×C₁₃	1	1	yes	characteristic
609	#97	C₂³×C₁₃	1	1	yes	characteristic
610	C₄×C₈	—	2	1	no	—
611	C₂×C₁₃	—	4	1	no	—
612	C₂×C₁₃	—	8	1	no	—
613	C₂×C₁₃	—	8	1	no	—
614	C₂×C₁₃	—	16	1	no	—
615	C₂×C₁₃	#3018	1	1	yes	characteristic
616	C₂×C₁₃	#3020	1	1	yes	characteristic
617	C₂×C₁₃	#3021	1	1	yes	characteristic
618	#41	—	8	1	no	—
619	#41	—	8	1	no	—
620	C₂×Q₈	—	2	1	no	—
621	C₂×Q₈	—	2	1	no	—
622	C₂×Q₈	—	2	1	no	—
623	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
624	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
625	C₂×D₄	—	2	1	no	—
626	C₂×D₄	—	2	1	no	—
627	C₂×D₄	—	2	1	no	—
628	C₂×D₄	—	2	1	no	—
629	C₂×D₄	—	2	1	no	—
630	C₂×D₄	—	2	1	no	—
631	C₂×D₄	—	2	1	no	—
632	C₂×D₄	—	4	1	no	—
633	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
634	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
635	C₂²×C₄	—	2	1	no	—
636	C₂²×C₄	—	2	1	no	—
637	C₂²×C₄	—	2	1	no	—
638	C₂²×C₄	—	2	1	no	—
639	C₂²×C₄	—	2	1	no	—
640	C₂²×C₄	—	2	1	no	—
641	C₂²×C₄	—	2	1	no	—
642	C₂²×C₄	—	2	1	no	—
643	C₂²×C₄	—	4	1	no	—
644	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
645	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
646	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
647	Q₁₆	—	8	1	no	—
648	SD₁₆	—	4	2	no	—
649	SD₁₆	—	8	1	no	—
650	SD₁₆	—	8	1	no	—
651	D₈	—	4	2	no	—
652	D₈	—	8	1	no	—
653	M₁₆	—	4	2	no	—
654	C₂×C₈	—	2	1	no	—
655	C₂×C₈	—	2	1	no	—
656	C₂×C₈	—	2	1	no	—
657	C₂×C₈	—	2	1	no	—
658	C₂×C₈	—	2	1	no	—
659	C₂×C₈	—	2	1	no	—
660	C₄⋊C₄	—	2	1	no	—
661	C₄⋊C₄	—	2	1	no	—
662	C₄⋊C₄	—	2	1	no	—
663	C₄⋊C₄	—	2	1	no	—
664	C₄⋊C₄	—	2	1	no	—
665	C₄⋊C₄	—	2	1	no	—
666	C₄⋊C₄	—	2	1	no	—
667	C₄⋊C₄	—	2	1	no	—
668	C₄⋊C₄	—	2	1	no	—
669	C₄⋊C₄	—	2	1	no	—
670	C₄⋊C₄	—	2	1	no	—
671	C₄⋊C₄	—	2	1	no	—
672	C₄⋊C₄	—	2	1	no	—
673	C₄⋊C₄	—	2	1	no	—
674	C₄⋊C₄	—	2	1	no	—
675	C₄⋊C₄	—	2	1	no	—
676	C₄⋊C₄	—	2	1	no	—
677	C₄⋊C₄	—	2	1	no	—
678	C₄⋊C₄	—	2	1	no	—
679	C₄⋊C₄	—	2	1	no	—
680	C₄⋊C₄	—	2	1	no	—
681	C₄⋊C₄	—	2	1	no	—
682	C₄⋊C₄	—	2	1	no	—
683	C₄⋊C₄	—	2	1	no	—
684	C₄⋊C₄	—	2	1	no	—
685	C₄⋊C₄	—	2	1	no	—
686	C₄⋊C₄	—	2	1	no	—
687	C₄⋊C₄	—	2	1	no	—
688	C₄⋊C₄	—	2	1	no	—
689	C₄⋊C₄	—	2	1	no	—
690	C₄⋊C₄	—	2	1	no	—
691	C₄⋊C₄	—	2	1	no	—
692	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
693	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
694	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
695	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
696	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
697	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
698	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
699	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
700	C₂²⋊C₄	—	2	1	no	—
701	C₂²⋊C₄	—	2	1	no	—
702	C₂²⋊C₄	—	2	1	no	—
703	C₂²⋊C₄	—	2	1	no	—
704	C₂²⋊C₄	—	2	1	no	—
705	C₂²⋊C₄	—	2	1	no	—
706	C₂²⋊C₄	—	2	1	no	—
707	C₂²⋊C₄	—	2	1	no	—
708	C₂²⋊C₄	—	2	1	no	—
709	C₂²⋊C₄	—	2	1	no	—
710	C₂²⋊C₄	—	2	1	no	—
711	C₂²⋊C₄	—	2	1	no	—
712	C₂²⋊C₄	—	2	1	no	—
713	C₂²⋊C₄	—	2	1	no	—
714	C₂²⋊C₄	—	2	1	no	—
715	C₂²⋊C₄	—	2	1	no	—
716	C₂²⋊C₄	—	2	1	no	—
717	C₂²⋊C₄	—	2	1	no	—
718	C₂²⋊C₄	—	4	1	no	—
719	C₂²⋊C₄	—	4	1	no	—
720	C₄²	—	2	1	no	—
721	C₄²	—	2	1	no	—
722	C₄²	—	2	1	no	—
723	C₄²	—	2	1	no	—
724	C₄²	—	2	1	no	—
725	C₄²	—	2	1	no	—
726	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
727	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
728	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
729	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
730	C₁₃	#19070	1	1	yes	characteristic, direct product factor, Sylow
731	C₂³	—	2	1	no	—
732	C₂³	—	2	1	no	—
733	C₂³	—	4	1	no	—
734	C₂³	C₁₃×#120	1	1	yes	characteristic
735	Q₈	—	4	1	no	—
736	Q₈	—	4	1	no	—
737	Q₈	—	4	1	no	—
738	Q₈	—	4	1	no	—
739	Q₈	—	8	1	no	—
740	Q₈	—	8	1	no	—
741	D₄	—	4	1	no	—
742	D₄	—	4	1	no	—
743	D₄	—	4	1	no	—
744	D₄	—	4	1	no	—
745	D₄	—	4	1	no	—
746	D₄	—	4	1	no	—
747	D₄	—	4	2	no	—
748	D₄	—	4	2	no	—
749	D₄	—	4	2	no	—
750	D₄	—	8	1	no	—
751	D₄	—	8	1	no	—
752	D₄	—	8	2	no	—
753	C₂×C₄	—	2	1	no	—
754	C₂×C₄	—	2	1	no	—
755	C₂×C₄	—	2	1	no	—
756	C₂×C₄	—	2	1	no	—
757	C₂×C₄	—	2	1	no	—
758	C₂×C₄	—	2	1	no	—
759	C₂×C₄	—	2	1	no	—
760	C₂×C₄	—	2	1	no	—
761	C₂×C₄	—	2	1	no	—
762	C₂×C₄	—	2	1	no	—
763	C₂×C₄	—	4	1	no	—
764	C₂×C₄	—	4	1	no	—
765	C₂×C₄	—	4	1	no	—
766	C₂×C₄	—	4	1	no	—
767	C₂×C₄	—	8	1	no	—
768	C₂×C₄	—	8	1	no	—
769	C₂×C₄	—	8	2	no	—
770	C₂×C₄	—	8	1	no	—
771	C₂×C₄	—	8	1	no	—
772	C₂×C₄	—	8	1	no	—
773	C₂×C₄	—	8	1	no	—
774	C₂×C₄	—	8	1	no	—
775	C₂×C₄	—	8	1	no	—
776	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
777	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
778	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
779	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
780	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
781	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
782	C₈	—	2	2	no	—
783	C₈	—	4	1	no	—
784	C₈	—	4	1	no	—
785	C₈	—	4	1	no	—
786	C₈	—	4	1	no	—
787	C₈	—	4	1	no	—
788	C₂²	—	2	1	no	—
789	C₂²	—	2	1	no	—
790	C₂²	—	2	1	no	—
791	C₂²	—	4	1	no	—
792	C₂²	—	4	1	no	—
793	C₂²	—	4	1	no	—
794	C₂²	—	4	1	no	—
795	C₂²	—	4	1	no	—
796	C₂²	—	4	1	no	—
797	C₂²	—	8	1	no	—
798	C₂²	—	8	1	no	—
799	C₂²	—	8	1	no	—
800	C₂²	C₂×C₁₃×#120	1	1	yes	characteristic
801	C₄	—	2	1	no	—
802	C₄	—	2	1	no	—
803	C₄	—	2	1	no	—
804	C₄	—	2	1	no	—
805	C₄	—	2	1	no	—
806	C₄	—	2	1	no	—
807	C₄	—	4	1	no	—
808	C₄	—	4	1	no	—
809	C₄	—	4	1	no	—
810	C₄	—	4	1	no	—
811	C₄	—	4	1	no	—
812	C₄	—	4	1	no	—
813	C₄	—	4	1	no	—
814	C₄	—	4	1	no	—
815	C₄	—	4	1	no	—
816	C₄	—	4	1	no	—
817	C₄	—	8	1	no	—
818	C₂	—	4	1	no	—
819	C₂	—	8	1	no	—
820	C₂	—	8	1	no	—
821	C₂	—	16	1	no	—
822	C₂	C₁₃×#3018	1	1	yes	characteristic
823	C₂	C₁₃×#3020	1	1	yes	characteristic
824	C₂	C₁₃×#3021	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₃
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3553	C₂	semidirect
2. C₁₃×#3234	C₂	semidirect
3. C₁₃×#3219	C₂	semidirect
4. C₁₃×#3171	C₂	semidirect
5. C₁₃×#1664	C₂	semidirect
6. C₁₃×#1663	C₂	semidirect
7. C₁₃×#1661	C₂	semidirect
8. C₁₃×#1660	C₂	semidirect
9. C₁₃×#1658	C₂	semidirect
10. C₁₃×#1657	C₂	semidirect
11. C₁₃×#1657	C₂	semidirect
12. C₁₃×#1656	C₂	semidirect
13. C₁₃×#1535	C₂	semidirect
14. C₁₃×#1529	C₂	semidirect
15. C₁₃×#1528	C₂	semidirect
206. #19070	C₁₃	direct (N × H)
319. #3553	C₂×C₁₃	semidirect
320. #3234	C₂×C₁₃	semidirect
321. #3219	C₂×C₁₃	semidirect
322. #3171	C₂×C₁₃	semidirect
323. #1664	C₂×C₁₃	semidirect
324. #1663	C₂×C₁₃	semidirect
325. #1661	C₂×C₁₃	semidirect
326. #1660	C₂×C₁₃	semidirect
327. #1658	C₂×C₁₃	semidirect
328. #1657	C₂×C₁₃	semidirect
329. #1657	C₂×C₁₃	semidirect
330. #1656	C₂×C₁₃	semidirect
331. #1535	C₂×C₁₃	semidirect
332. #1529	C₂×C₁₃	semidirect
333. #1528	C₂×C₁₃	semidirect
730. C₁₃	#19070	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3553	2
C₁₃×#3234	2
C₁₃×#3219	2
C₁₃×#3171	2
C₁₃×#1664	2
C₁₃×#1663	2
C₁₃×#1661	2
C₁₃×#1660	2
C₁₃×#1658	2
C₁₃×#1657	2
C₁₃×#1656	2
C₁₃×#1535	2
C₁₃×#1529	2
C₁₃×#1528	2
#19070	13

Subgroups — C13×#19070 #15705409

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#19070 #15705409