Subgroups — C₁₃×#24574 #15710913

Order 3328.

888 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2896	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#2880	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#2079	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2078	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2052	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2052	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1908	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1908	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1901	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1855	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1822	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1816	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1815	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
21	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
24	C₁₃×#485	—	2	1	no	—
25	C₁₃×#485	—	2	1	no	—
26	C₁₃×#485	—	2	1	no	—
27	C₁₃×#485	—	2	1	no	—
28	C₁₃×#452	—	2	1	no	—
29	C₁₃×#452	—	2	1	no	—
30	C₁₃×#451	—	2	1	no	—
31	C₁₃×#450	—	2	1	no	—
32	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#419	—	2	1	no	—
37	C₁₃×#418	—	2	1	no	—
38	C₁₃×#417	C₂²	1	1	yes	characteristic
39	C₁₃×#417	C₂²	1	1	yes	characteristic
40	C₁₃×#417	C₂²	1	1	yes	characteristic
41	C₁₃×#417	C₂²	1	1	yes	characteristic
42	C₁₃×#417	C₂²	1	1	yes	characteristic
43	C₁₃×#417	C₂²	1	1	yes	characteristic
44	C₁₃×#416	—	2	1	no	—
45	C₁₃×#416	—	2	1	no	—
46	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₁₃×#101	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₁₃×#101	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#408	—	2	1	no	—
51	C₁₃×#408	—	2	1	no	—
52	C₁₃×#408	C₂²	1	1	yes	characteristic
53	C₁₃×#408	C₂²	1	1	yes	characteristic
54	C₁₃×#407	—	2	1	no	—
55	C₁₃×#407	C₂²	1	1	yes	characteristic
56	C₁₃×#407	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×C₂²⋊C₈	—	2	1	no	—
58	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
59	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#341	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#341	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₁₃×#41	—	2	1	no	—
68	C₂×C₁₃×#41	—	2	1	no	—
69	C₂×C₁₃×#41	—	2	2	no	—
70	C₂×C₁₃×#41	—	2	2	no	—
71	C₂×C₁₃×#41	—	4	1	no	—
72	C₂×C₁₃×#41	—	4	1	no	—
73	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
74	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
75	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
76	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
77	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
78	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
79	C₂²×D₄×C₁₃	—	2	1	no	—
80	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
81	C₂³×C₄×C₁₃	—	2	1	no	—
82	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
83	C₁₃×#137	—	2	2	no	—
84	C₁₃×#137	—	2	2	no	—
85	C₁₃×#137	—	4	1	no	—
86	C₁₃×#137	—	4	1	no	—
87	C₂×C₁₃×Q₁₆	—	2	1	no	—
88	C₂×C₁₃×Q₁₆	—	2	1	no	—
89	C₂×C₁₃×SD₁₆	—	2	1	no	—
90	C₂×C₁₃×SD₁₆	—	2	1	no	—
91	C₁₃×#131	—	2	2	no	—
92	C₁₃×#131	—	2	2	no	—
93	C₁₃×#131	—	4	1	no	—
94	C₁₃×#131	—	4	1	no	—
95	C₂×C₁₃×M₁₆	—	2	1	no	—
96	C₂×C₁₃×M₁₆	—	2	1	no	—
97	C₂×C₁₃×M₁₆	—	2	1	no	—
98	C₂×C₁₃×M₁₆	—	4	1	no	—
99	C₂×C₁₃×M₁₆	—	4	1	no	—
100	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
101	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
102	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
103	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
104	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
105	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
106	C₂²×C₈×C₁₃	—	2	1	no	—
107	C₂²×C₈×C₁₃	—	2	1	no	—
108	C₂²×C₈×C₁₃	—	2	1	no	—
109	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
110	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
111	C₁₃×C₂²⋊Q₈	—	2	1	no	—
112	C₁₃×C₂²⋊Q₈	—	2	1	no	—
113	C₁₃×C₂²⋊Q₈	—	2	1	no	—
114	C₁₃×C₂²⋊Q₈	—	2	1	no	—
115	C₁₃×#117	—	2	1	no	—
116	C₁₃×#117	—	2	1	no	—
117	C₁₃×#117	—	2	1	no	—
118	C₁₃×#117	—	2	1	no	—
119	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
120	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
121	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
122	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
123	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
124	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
125	C₂×C₄²×C₁₃	—	2	1	no	—
126	C₁₃×#108	—	4	1	no	—
127	C₁₃×#108	—	4	1	no	—
128	C₁₃×#107	—	2	1	no	—
129	C₁₃×#107	—	2	1	no	—
130	C₁₃×#106	—	2	1	no	—
131	C₁₃×#106	—	2	1	no	—
132	C₁₃×#103	—	2	1	no	—
133	C₁₃×#103	—	2	1	no	—
134	C₁₃×#103	—	2	1	no	—
135	C₁₃×#103	—	2	1	no	—
136	C₁₃×#103	—	2	1	no	—
137	C₁₃×#103	—	2	1	no	—
138	C₁₃×#103	—	2	1	no	—
139	C₁₃×#103	—	2	1	no	—
140	C₁₃×#103	—	2	1	no	—
141	C₁₃×#103	—	2	1	no	—
142	C₁₃×#102	—	2	1	no	—
143	C₁₃×#102	—	2	1	no	—
144	C₁₃×#102	—	2	1	no	—
145	C₁₃×#102	—	2	1	no	—
146	C₁₃×#102	—	2	1	no	—
147	C₁₃×#102	—	2	1	no	—
148	C₁₃×#101	—	4	1	no	—
149	C₁₃×#101	—	4	1	no	—
150	C₁₃×C₂²⋊C₈	—	2	1	no	—
151	C₁₃×C₂²⋊C₈	—	2	1	no	—
152	C₁₃×C₂²⋊C₈	—	2	1	no	—
153	C₁₃×C₂²⋊C₈	—	2	1	no	—
154	C₁₃×C₂²⋊C₈	—	2	1	no	—
155	C₁₃×C₂²⋊C₈	—	2	1	no	—
156	C₁₃×C₂²⋊C₈	—	2	1	no	—
157	C₁₃×C₂²⋊C₈	—	2	1	no	—
158	C₁₃×C₂²⋊C₈	D₄	1	1	yes	characteristic
159	C₁₃×C₂²⋊C₈	D₄	1	1	yes	characteristic
160	C₁₃×C₂²⋊C₈	D₄	1	1	yes	characteristic
161	C₁₃×C₂²⋊C₈	D₄	1	1	yes	characteristic
162	#24574	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
163	C₂⁴×C₁₃	—	2	1	no	—
164	C₂⁴×C₁₃	#41	1	1	yes	characteristic
165	C₁₃×#41	—	2	1	no	—
166	C₁₃×#41	—	2	1	no	—
167	C₁₃×#41	—	2	2	no	—
168	C₁₃×#41	—	2	2	no	—
169	C₁₃×#41	—	2	1	no	—
170	C₁₃×#41	—	2	1	no	—
171	C₁₃×#41	—	2	1	no	—
172	C₁₃×#41	—	2	1	no	—
173	C₁₃×#41	—	4	2	no	—
174	C₁₃×#41	—	4	2	no	—
175	C₁₃×#41	—	4	1	no	—
176	C₁₃×#41	—	4	1	no	—
177	C₁₃×#41	—	4	2	no	—
178	C₁₃×#41	—	4	2	no	—
179	C₁₃×#41	#41	1	2	yes	—
180	C₁₃×#41	#41	1	2	yes	—
181	C₂×Q₈×C₁₃	—	2	1	no	—
182	C₂×Q₈×C₁₃	—	2	2	no	—
183	C₂×Q₈×C₁₃	—	2	1	no	—
184	C₂×Q₈×C₁₃	—	2	1	no	—
185	C₂×Q₈×C₁₃	—	2	1	no	—
186	C₂×Q₈×C₁₃	—	2	1	no	—
187	C₂×Q₈×C₁₃	—	2	1	no	—
188	C₂×Q₈×C₁₃	—	2	1	no	—
189	C₂×Q₈×C₁₃	—	4	1	no	—
190	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
191	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
192	C₂×D₄×C₁₃	—	2	1	no	—
193	C₂×D₄×C₁₃	—	2	2	no	—
194	C₂×D₄×C₁₃	—	2	1	no	—
195	C₂×D₄×C₁₃	—	2	1	no	—
196	C₂×D₄×C₁₃	—	2	1	no	—
197	C₂×D₄×C₁₃	—	2	1	no	—
198	C₂×D₄×C₁₃	—	4	1	no	—
199	C₂×D₄×C₁₃	—	4	2	no	—
200	C₂×D₄×C₁₃	—	4	2	no	—
201	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
202	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₁₃	—	2	1	no	—
204	C₂²×C₄×C₁₃	—	2	1	no	—
205	C₂²×C₄×C₁₃	—	2	1	no	—
206	C₂²×C₄×C₁₃	—	2	1	no	—
207	C₂²×C₄×C₁₃	—	2	1	no	—
208	C₂²×C₄×C₁₃	—	2	1	no	—
209	C₂²×C₄×C₁₃	—	2	1	no	—
210	C₂²×C₄×C₁₃	—	2	1	no	—
211	C₂²×C₄×C₁₃	—	2	1	no	—
212	C₂²×C₄×C₁₃	—	2	1	no	—
213	C₂²×C₄×C₁₃	—	2	1	no	—
214	C₂²×C₄×C₁₃	—	2	1	no	—
215	C₂²×C₄×C₁₃	—	2	1	no	—
216	C₂²×C₄×C₁₃	—	4	2	no	—
217	C₂²×C₄×C₁₃	—	4	2	no	—
218	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
219	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
220	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
221	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
222	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
223	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
224	C₁₃×Q₁₆	—	4	2	no	—
225	C₁₃×Q₁₆	—	4	2	no	—
226	C₁₃×SD₁₆	—	4	2	no	—
227	C₁₃×SD₁₆	—	4	2	no	—
228	C₁₃×M₁₆	—	2	1	no	—
229	C₁₃×M₁₆	—	2	1	no	—
230	C₁₃×M₁₆	—	2	1	no	—
231	C₁₃×M₁₆	—	2	1	no	—
232	C₁₃×M₁₆	—	2	1	no	—
233	C₁₃×M₁₆	—	2	1	no	—
234	C₁₃×M₁₆	—	2	1	no	—
235	C₁₃×M₁₆	—	2	1	no	—
236	C₁₃×M₁₆	—	2	1	no	—
237	C₁₃×M₁₆	—	2	1	no	—
238	C₁₃×M₁₆	—	2	1	no	—
239	C₁₃×M₁₆	—	2	1	no	—
240	C₁₃×M₁₆	—	4	2	no	—
241	C₁₃×M₁₆	—	4	2	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	C₂×C₈×C₁₃	—	2	1	no	—
250	C₂×C₈×C₁₃	—	2	1	no	—
251	C₂×C₈×C₁₃	—	2	1	no	—
252	C₂×C₈×C₁₃	—	2	1	no	—
253	C₂×C₈×C₁₃	—	4	2	no	—
254	C₂×C₈×C₁₃	—	4	2	no	—
255	C₂×C₈×C₁₃	—	4	2	no	—
256	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
257	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
258	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
259	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
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	—	4	1	no	—
267	C₁₃×C₄⋊C₄	—	4	1	no	—
268	C₁₃×C₂²⋊C₄	—	4	1	no	—
269	C₁₃×C₂²⋊C₄	—	4	1	no	—
270	C₁₃×C₂²⋊C₄	—	4	1	no	—
271	C₁₃×C₂²⋊C₄	—	4	1	no	—
272	C₄²×C₁₃	—	4	1	no	—
273	C₄²×C₁₃	—	4	1	no	—
274	C₂×#485	C₂×C₁₃	1	1	yes	characteristic, complemented
275	#3007	C₂×C₁₃	1	1	yes	characteristic
276	#2896	C₂×C₁₃	1	1	yes	characteristic
277	#2880	C₂×C₁₃	1	1	yes	characteristic
278	#2079	C₂×C₁₃	1	1	yes	characteristic, complemented
279	#2078	C₂×C₁₃	1	1	yes	characteristic, complemented
280	#2052	C₂×C₁₃	1	1	yes	characteristic, complemented
281	#2052	C₂×C₁₃	1	1	yes	characteristic, complemented
282	#1908	C₂×C₁₃	1	1	yes	characteristic, complemented
283	#1908	C₂×C₁₃	1	1	yes	characteristic, complemented
284	#1901	C₂×C₁₃	1	1	yes	characteristic, complemented
285	#1855	C₂×C₁₃	1	1	yes	characteristic, complemented
286	#1822	C₂×C₁₃	1	1	yes	characteristic, complemented
287	#1816	C₂×C₁₃	1	1	yes	characteristic, complemented
288	#1815	C₂×C₁₃	1	1	yes	characteristic, complemented
289	C₂³×C₁₃	—	2	1	no	—
290	C₂³×C₁₃	—	2	1	no	—
291	C₂³×C₁₃	—	2	1	no	—
292	C₂³×C₁₃	—	2	1	no	—
293	C₂³×C₁₃	—	4	1	no	—
294	C₂³×C₁₃	—	4	1	no	—
295	C₂³×C₁₃	—	4	2	no	—
296	C₂³×C₁₃	—	4	2	no	—
297	C₂³×C₁₃	—	8	1	no	—
298	C₂³×C₁₃	#121	1	1	yes	characteristic
299	C₂³×C₁₃	#121	1	1	yes	characteristic
300	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
301	Q₈×C₁₃	—	2	1	no	—
302	Q₈×C₁₃	—	2	1	no	—
303	Q₈×C₁₃	—	2	1	no	—
304	Q₈×C₁₃	—	4	2	no	—
305	Q₈×C₁₃	—	4	1	no	—
306	Q₈×C₁₃	—	4	1	no	—
307	Q₈×C₁₃	—	4	1	no	—
308	Q₈×C₁₃	—	4	1	no	—
309	Q₈×C₁₃	#123	1	2	yes	—
310	D₄×C₁₃	—	2	2	no	—
311	D₄×C₁₃	—	2	2	no	—
312	D₄×C₁₃	—	2	1	no	—
313	D₄×C₁₃	—	2	1	no	—
314	D₄×C₁₃	—	2	1	no	—
315	D₄×C₁₃	—	4	2	no	—
316	D₄×C₁₃	—	4	2	no	—
317	D₄×C₁₃	—	4	2	no	—
318	D₄×C₁₃	—	4	1	no	—
319	D₄×C₁₃	—	4	1	no	—
320	D₄×C₁₃	#123	1	2	yes	—
321	C₂×C₄×C₁₃	—	2	1	no	—
322	C₂×C₄×C₁₃	—	2	1	no	—
323	C₂×C₄×C₁₃	—	2	1	no	—
324	C₂×C₄×C₁₃	—	2	1	no	—
325	C₂×C₄×C₁₃	—	2	1	no	—
326	C₂×C₄×C₁₃	—	2	1	no	—
327	C₂×C₄×C₁₃	—	2	1	no	—
328	C₂×C₄×C₁₃	—	2	2	no	—
329	C₂×C₄×C₁₃	—	2	2	no	—
330	C₂×C₄×C₁₃	—	2	1	no	—
331	C₂×C₄×C₁₃	—	2	1	no	—
332	C₂×C₄×C₁₃	—	2	1	no	—
333	C₂×C₄×C₁₃	—	2	1	no	—
334	C₂×C₄×C₁₃	—	2	1	no	—
335	C₂×C₄×C₁₃	—	4	2	no	—
336	C₂×C₄×C₁₃	—	4	2	no	—
337	C₂×C₄×C₁₃	—	4	2	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	—	4	1	no	—
343	C₂×C₄×C₁₃	—	4	1	no	—
344	C₂×C₄×C₁₃	—	4	1	no	—
345	C₂×C₄×C₁₃	—	4	1	no	—
346	C₂×C₄×C₁₃	—	8	1	no	—
347	C₂×C₄×C₁₃	—	8	1	no	—
348	C₂×C₄×C₁₃	—	8	1	no	—
349	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
350	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
351	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
352	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
353	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
354	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
355	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
356	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
357	C₈×C₁₃	—	2	1	no	—
358	C₈×C₁₃	—	2	1	no	—
359	C₈×C₁₃	—	2	1	no	—
360	C₈×C₁₃	—	2	1	no	—
361	C₈×C₁₃	—	4	1	no	—
362	C₈×C₁₃	—	4	1	no	—
363	C₈×C₁₃	—	4	1	no	—
364	C₈×C₁₃	—	4	1	no	—
365	C₈×C₁₃	—	4	1	no	—
366	C₈×C₁₃	—	4	1	no	—
367	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
368	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
369	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
370	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
371	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
372	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
373	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
374	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
375	#485	—	2	1	no	—
376	#485	—	2	1	no	—
377	#485	—	2	1	no	—
378	#485	—	2	1	no	—
379	#452	—	2	1	no	—
380	#452	—	2	1	no	—
381	#451	—	2	1	no	—
382	#450	—	2	1	no	—
383	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic, complemented
384	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic, complemented
385	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic, complemented
386	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
387	#419	—	2	1	no	—
388	#418	—	2	1	no	—
389	#417	C₂²×C₁₃	1	1	yes	characteristic
390	#417	C₂²×C₁₃	1	1	yes	characteristic
391	#417	C₂²×C₁₃	1	1	yes	characteristic
392	#417	C₂²×C₁₃	1	1	yes	characteristic
393	#417	C₂²×C₁₃	1	1	yes	characteristic
394	#417	C₂²×C₁₃	1	1	yes	characteristic
395	#416	—	2	1	no	—
396	#416	—	2	1	no	—
397	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
398	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
399	C₂×#101	C₂²×C₁₃	1	1	yes	characteristic, complemented
400	C₂×#101	C₂²×C₁₃	1	1	yes	characteristic, complemented
401	#408	—	2	1	no	—
402	#408	—	2	1	no	—
403	#408	C₂²×C₁₃	1	1	yes	characteristic
404	#408	C₂²×C₁₃	1	1	yes	characteristic
405	#407	—	2	1	no	—
406	#407	C₂²×C₁₃	1	1	yes	characteristic
407	#407	C₂²×C₁₃	1	1	yes	characteristic
408	C₂×C₂²⋊C₈	—	2	1	no	—
409	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
410	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
411	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
412	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
413	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
414	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
415	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
416	#341	C₂²×C₁₃	1	1	yes	characteristic, complemented
417	#341	C₂²×C₁₃	1	1	yes	characteristic, complemented
418	C₂²×C₁₃	—	2	1	no	—
419	C₂²×C₁₃	—	2	1	no	—
420	C₂²×C₁₃	—	2	1	no	—
421	C₂²×C₁₃	—	2	1	no	—
422	C₂²×C₁₃	—	2	2	no	—
423	C₂²×C₁₃	—	2	1	no	—
424	C₂²×C₁₃	—	2	1	no	—
425	C₂²×C₁₃	—	2	1	no	—
426	C₂²×C₁₃	—	2	1	no	—
427	C₂²×C₁₃	—	4	1	no	—
428	C₂²×C₁₃	—	4	1	no	—
429	C₂²×C₁₃	—	4	1	no	—
430	C₂²×C₁₃	—	4	1	no	—
431	C₂²×C₁₃	—	4	1	no	—
432	C₂²×C₁₃	—	8	1	no	—
433	C₂²×C₁₃	—	8	1	no	—
434	C₂²×C₁₃	—	8	4	no	—
435	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
436	C₂²×C₁₃	#551	1	1	yes	characteristic
437	C₂²×C₁₃	#551	1	1	yes	characteristic
438	C₄×C₁₃	—	2	1	no	—
439	C₄×C₁₃	—	2	1	no	—
440	C₄×C₁₃	—	2	2	no	—
441	C₄×C₁₃	—	4	1	no	—
442	C₄×C₁₃	—	8	1	no	—
443	C₄×C₁₃	—	8	1	no	—
444	C₄×C₁₃	—	8	1	no	—
445	C₄×C₁₃	—	8	1	no	—
446	C₄×C₁₃	C₂×#123	1	1	yes	characteristic
447	C₄×C₁₃	#534	1	1	yes	characteristic
448	C₄×C₁₃	#546	1	1	yes	characteristic
449	C₄×C₁₃	#546	1	1	yes	characteristic
450	C₂×#41	—	2	1	no	—
451	C₂×#41	—	2	1	no	—
452	C₂×#41	—	2	2	no	—
453	C₂×#41	—	2	2	no	—
454	C₂×#41	—	4	1	no	—
455	C₂×#41	—	4	1	no	—
456	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
457	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
458	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
459	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
460	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
461	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
462	C₂²×D₄	—	2	1	no	—
463	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
464	C₂³×C₄	—	2	1	no	—
465	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
466	#137	—	2	2	no	—
467	#137	—	2	2	no	—
468	#137	—	4	1	no	—
469	#137	—	4	1	no	—
470	C₂×Q₁₆	—	2	1	no	—
471	C₂×Q₁₆	—	2	1	no	—
472	C₂×SD₁₆	—	2	1	no	—
473	C₂×SD₁₆	—	2	1	no	—
474	#131	—	2	2	no	—
475	#131	—	2	2	no	—
476	#131	—	4	1	no	—
477	#131	—	4	1	no	—
478	C₂×M₁₆	—	2	1	no	—
479	C₂×M₁₆	—	2	1	no	—
480	C₂×M₁₆	—	2	1	no	—
481	C₂×M₁₆	—	4	1	no	—
482	C₂×M₁₆	—	4	1	no	—
483	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
484	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
485	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
486	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
487	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
488	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
489	C₂²×C₈	—	2	1	no	—
490	C₂²×C₈	—	2	1	no	—
491	C₂²×C₈	—	2	1	no	—
492	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
493	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
494	C₂²⋊Q₈	—	2	1	no	—
495	C₂²⋊Q₈	—	2	1	no	—
496	C₂²⋊Q₈	—	2	1	no	—
497	C₂²⋊Q₈	—	2	1	no	—
498	#117	—	2	1	no	—
499	#117	—	2	1	no	—
500	#117	—	2	1	no	—
501	#117	—	2	1	no	—
502	C₂×C₄⋊C₄	—	2	1	no	—
503	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
504	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
505	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
506	C₂×C₂²⋊C₄	—	2	1	no	—
507	C₂×C₂²⋊C₄	—	2	1	no	—
508	C₂×C₄²	—	2	1	no	—
509	#108	—	4	1	no	—
510	#108	—	4	1	no	—
511	#107	—	2	1	no	—
512	#107	—	2	1	no	—
513	#106	—	2	1	no	—
514	#106	—	2	1	no	—
515	#103	—	2	1	no	—
516	#103	—	2	1	no	—
517	#103	—	2	1	no	—
518	#103	—	2	1	no	—
519	#103	—	2	1	no	—
520	#103	—	2	1	no	—
521	#103	—	2	1	no	—
522	#103	—	2	1	no	—
523	#103	—	2	1	no	—
524	#103	—	2	1	no	—
525	#102	—	2	1	no	—
526	#102	—	2	1	no	—
527	#102	—	2	1	no	—
528	#102	—	2	1	no	—
529	#102	—	2	1	no	—
530	#102	—	2	1	no	—
531	#101	—	4	1	no	—
532	#101	—	4	1	no	—
533	C₂²⋊C₈	—	2	1	no	—
534	C₂²⋊C₈	—	2	1	no	—
535	C₂²⋊C₈	—	2	1	no	—
536	C₂²⋊C₈	—	2	1	no	—
537	C₂²⋊C₈	—	2	1	no	—
538	C₂²⋊C₈	—	2	1	no	—
539	C₂²⋊C₈	—	2	1	no	—
540	C₂²⋊C₈	—	2	1	no	—
541	C₂²⋊C₈	D₄×C₁₃	1	1	yes	characteristic
542	C₂²⋊C₈	D₄×C₁₃	1	1	yes	characteristic
543	C₂²⋊C₈	D₄×C₁₃	1	1	yes	characteristic
544	C₂²⋊C₈	D₄×C₁₃	1	1	yes	characteristic
545	C₂×C₁₃	—	2	1	no	—
546	C₂×C₁₃	—	2	1	no	—
547	C₂×C₁₃	—	4	1	no	—
548	C₂×C₁₃	—	4	1	no	—
549	C₂×C₁₃	—	4	2	no	—
550	C₂×C₁₃	—	8	1	no	—
551	C₂×C₁₃	#2412	1	1	yes	characteristic
552	C₂×C₁₃	#3067	1	1	yes	characteristic
553	C₂×C₁₃	#3069	1	1	yes	characteristic
554	C₂⁴	—	2	1	no	—
555	C₂⁴	C₁₃×#41	1	1	yes	characteristic
556	#41	—	2	1	no	—
557	#41	—	2	1	no	—
558	#41	—	2	2	no	—
559	#41	—	2	2	no	—
560	#41	—	2	1	no	—
561	#41	—	2	1	no	—
562	#41	—	2	1	no	—
563	#41	—	2	1	no	—
564	#41	—	4	2	no	—
565	#41	—	4	2	no	—
566	#41	—	4	1	no	—
567	#41	—	4	1	no	—
568	#41	—	4	2	no	—
569	#41	—	4	2	no	—
570	#41	C₁₃×#41	1	2	yes	—
571	#41	C₁₃×#41	1	2	yes	—
572	C₂×Q₈	—	2	1	no	—
573	C₂×Q₈	—	2	2	no	—
574	C₂×Q₈	—	2	1	no	—
575	C₂×Q₈	—	2	1	no	—
576	C₂×Q₈	—	2	1	no	—
577	C₂×Q₈	—	2	1	no	—
578	C₂×Q₈	—	2	1	no	—
579	C₂×Q₈	—	2	1	no	—
580	C₂×Q₈	—	4	1	no	—
581	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
582	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
583	C₂×D₄	—	2	1	no	—
584	C₂×D₄	—	2	2	no	—
585	C₂×D₄	—	2	1	no	—
586	C₂×D₄	—	2	1	no	—
587	C₂×D₄	—	2	1	no	—
588	C₂×D₄	—	2	1	no	—
589	C₂×D₄	—	4	1	no	—
590	C₂×D₄	—	4	2	no	—
591	C₂×D₄	—	4	2	no	—
592	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
593	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
594	C₂²×C₄	—	2	1	no	—
595	C₂²×C₄	—	2	1	no	—
596	C₂²×C₄	—	2	1	no	—
597	C₂²×C₄	—	2	1	no	—
598	C₂²×C₄	—	2	1	no	—
599	C₂²×C₄	—	2	1	no	—
600	C₂²×C₄	—	2	1	no	—
601	C₂²×C₄	—	2	1	no	—
602	C₂²×C₄	—	2	1	no	—
603	C₂²×C₄	—	2	1	no	—
604	C₂²×C₄	—	2	1	no	—
605	C₂²×C₄	—	2	1	no	—
606	C₂²×C₄	—	2	1	no	—
607	C₂²×C₄	—	4	2	no	—
608	C₂²×C₄	—	4	2	no	—
609	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
610	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
611	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
612	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
613	C₂²×C₄	C₁₃×#41	1	1	yes	characteristic
614	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
615	Q₁₆	—	4	2	no	—
616	Q₁₆	—	4	2	no	—
617	SD₁₆	—	4	2	no	—
618	SD₁₆	—	4	2	no	—
619	M₁₆	—	2	1	no	—
620	M₁₆	—	2	1	no	—
621	M₁₆	—	2	1	no	—
622	M₁₆	—	2	1	no	—
623	M₁₆	—	2	1	no	—
624	M₁₆	—	2	1	no	—
625	M₁₆	—	2	1	no	—
626	M₁₆	—	2	1	no	—
627	M₁₆	—	2	1	no	—
628	M₁₆	—	2	1	no	—
629	M₁₆	—	2	1	no	—
630	M₁₆	—	2	1	no	—
631	M₁₆	—	4	2	no	—
632	M₁₆	—	4	2	no	—
633	M₁₆	—	4	2	no	—
634	C₂×C₈	—	2	1	no	—
635	C₂×C₈	—	2	1	no	—
636	C₂×C₈	—	2	1	no	—
637	C₂×C₈	—	2	1	no	—
638	C₂×C₈	—	2	1	no	—
639	C₂×C₈	—	2	1	no	—
640	C₂×C₈	—	2	1	no	—
641	C₂×C₈	—	2	1	no	—
642	C₂×C₈	—	2	1	no	—
643	C₂×C₈	—	2	1	no	—
644	C₂×C₈	—	4	2	no	—
645	C₂×C₈	—	4	2	no	—
646	C₂×C₈	—	4	2	no	—
647	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
648	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
649	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
650	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
651	C₄⋊C₄	—	2	1	no	—
652	C₄⋊C₄	—	2	1	no	—
653	C₄⋊C₄	—	2	1	no	—
654	C₄⋊C₄	—	2	1	no	—
655	C₄⋊C₄	—	2	1	no	—
656	C₄⋊C₄	—	2	1	no	—
657	C₄⋊C₄	—	4	1	no	—
658	C₄⋊C₄	—	4	1	no	—
659	C₂²⋊C₄	—	4	1	no	—
660	C₂²⋊C₄	—	4	1	no	—
661	C₂²⋊C₄	—	4	1	no	—
662	C₂²⋊C₄	—	4	1	no	—
663	C₄²	—	4	1	no	—
664	C₄²	—	4	1	no	—
665	C₁₃	#24574	1	1	yes	characteristic, direct product factor, Sylow
666	C₂³	—	2	1	no	—
667	C₂³	—	2	1	no	—
668	C₂³	—	2	1	no	—
669	C₂³	—	2	1	no	—
670	C₂³	—	4	1	no	—
671	C₂³	—	4	1	no	—
672	C₂³	—	4	2	no	—
673	C₂³	—	4	2	no	—
674	C₂³	—	8	1	no	—
675	C₂³	C₁₃×#121	1	1	yes	characteristic
676	C₂³	C₁₃×#121	1	1	yes	characteristic
677	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
678	Q₈	—	2	1	no	—
679	Q₈	—	2	1	no	—
680	Q₈	—	2	1	no	—
681	Q₈	—	4	2	no	—
682	Q₈	—	4	1	no	—
683	Q₈	—	4	1	no	—
684	Q₈	—	4	1	no	—
685	Q₈	—	4	1	no	—
686	Q₈	C₁₃×#123	1	2	yes	—
687	D₄	—	2	2	no	—
688	D₄	—	2	2	no	—
689	D₄	—	2	1	no	—
690	D₄	—	2	1	no	—
691	D₄	—	2	1	no	—
692	D₄	—	4	2	no	—
693	D₄	—	4	2	no	—
694	D₄	—	4	2	no	—
695	D₄	—	4	1	no	—
696	D₄	—	4	1	no	—
697	D₄	C₁₃×#123	1	2	yes	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	1	no	—
701	C₂×C₄	—	2	1	no	—
702	C₂×C₄	—	2	1	no	—
703	C₂×C₄	—	2	1	no	—
704	C₂×C₄	—	2	1	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	2	no	—
707	C₂×C₄	—	2	1	no	—
708	C₂×C₄	—	2	1	no	—
709	C₂×C₄	—	2	1	no	—
710	C₂×C₄	—	2	1	no	—
711	C₂×C₄	—	2	1	no	—
712	C₂×C₄	—	4	2	no	—
713	C₂×C₄	—	4	2	no	—
714	C₂×C₄	—	4	2	no	—
715	C₂×C₄	—	4	1	no	—
716	C₂×C₄	—	4	1	no	—
717	C₂×C₄	—	4	1	no	—
718	C₂×C₄	—	4	1	no	—
719	C₂×C₄	—	4	1	no	—
720	C₂×C₄	—	4	1	no	—
721	C₂×C₄	—	4	1	no	—
722	C₂×C₄	—	4	1	no	—
723	C₂×C₄	—	8	1	no	—
724	C₂×C₄	—	8	1	no	—
725	C₂×C₄	—	8	1	no	—
726	C₂×C₄	C₁₃×#121	1	1	yes	characteristic
727	C₂×C₄	C₁₃×#121	1	1	yes	characteristic
728	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
729	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
730	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
731	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
732	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
733	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
734	C₈	—	2	1	no	—
735	C₈	—	2	1	no	—
736	C₈	—	2	1	no	—
737	C₈	—	2	1	no	—
738	C₈	—	4	1	no	—
739	C₈	—	4	1	no	—
740	C₈	—	4	1	no	—
741	C₈	—	4	1	no	—
742	C₈	—	4	1	no	—
743	C₈	—	4	1	no	—
744	C₂²	—	2	1	no	—
745	C₂²	—	2	1	no	—
746	C₂²	—	2	1	no	—
747	C₂²	—	2	1	no	—
748	C₂²	—	2	1	no	—
749	C₂²	—	2	1	no	—
750	C₂²	—	2	1	no	—
751	C₂²	—	2	1	no	—
752	C₂²	—	2	2	no	—
753	C₂²	—	4	1	no	—
754	C₂²	—	4	1	no	—
755	C₂²	—	4	1	no	—
756	C₂²	—	4	1	no	—
757	C₂²	—	4	1	no	—
758	C₂²	—	8	1	no	—
759	C₂²	—	8	1	no	—
760	C₂²	—	8	4	no	—
761	C₂²	C₂×C₁₃×#121	1	1	yes	characteristic
762	C₂²	C₁₃×#551	1	1	yes	characteristic
763	C₂²	C₁₃×#551	1	1	yes	characteristic
764	C₄	—	2	1	no	—
765	C₄	—	2	1	no	—
766	C₄	—	2	2	no	—
767	C₄	—	4	1	no	—
768	C₄	—	8	1	no	—
769	C₄	—	8	1	no	—
770	C₄	—	8	1	no	—
771	C₄	—	8	1	no	—
772	C₄	C₂×C₁₃×#123	1	1	yes	characteristic
773	C₄	C₁₃×#534	1	1	yes	characteristic
774	C₄	C₁₃×#546	1	1	yes	characteristic
775	C₄	C₁₃×#546	1	1	yes	characteristic
776	C₂	—	2	1	no	—
777	C₂	—	2	1	no	—
778	C₂	—	4	1	no	—
779	C₂	—	4	1	no	—
780	C₂	—	4	2	no	—
781	C₂	—	8	1	no	—
782	C₂	C₁₃×#2412	1	1	yes	characteristic
783	C₂	C₁₃×#3067	1	1	yes	characteristic
784	C₂	C₁₃×#3069	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂×#121
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂²×C₁₃×#41	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂³×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#485	C₂	semidirect
5. C₁₃×#2079	C₂	semidirect
6. C₁₃×#2078	C₂	semidirect
7. C₁₃×#2052	C₂	semidirect
8. C₁₃×#2052	C₂	semidirect
9. C₁₃×#1908	C₂	semidirect
10. C₁₃×#1908	C₂	semidirect
11. C₁₃×#1901	C₂	semidirect
12. C₁₃×#1855	C₂	semidirect
13. C₁₃×#1822	C₂	semidirect
14. C₁₃×#1816	C₂	semidirect
15. C₁₃×#1815	C₂	semidirect
32. C₂×C₁₃×#108	C₂²	semidirect
33. C₂×C₁₃×#108	C₂²	semidirect
34. C₂×C₁₃×#107	C₂²	semidirect
35. C₂×C₁₃×#106	C₂²	semidirect
46. C₂×C₁₃×#103	C₂²	semidirect
47. C₂×C₁₃×#103	C₂²	semidirect
48. C₂×C₁₃×#101	C₂²	semidirect
49. C₂×C₁₃×#101	C₂²	semidirect
59. C₁₃×#343	C₂²	semidirect
60. C₁₃×#343	C₂²	semidirect
61. C₁₃×#343	C₂²	semidirect
62. C₁₃×#343	C₂²	semidirect
63. C₁₃×#343	C₂²	semidirect
64. C₁₃×#343	C₂²	semidirect
65. C₁₃×#341	C₂²	semidirect
66. C₁₃×#341	C₂²	semidirect
162. #24574	C₁₃	direct (N × H)
274. C₂×#485	C₂×C₁₃	semidirect
278. #2079	C₂×C₁₃	semidirect
279. #2078	C₂×C₁₃	semidirect
280. #2052	C₂×C₁₃	semidirect
281. #2052	C₂×C₁₃	semidirect
282. #1908	C₂×C₁₃	semidirect
283. #1908	C₂×C₁₃	semidirect
284. #1901	C₂×C₁₃	semidirect
285. #1855	C₂×C₁₃	semidirect
286. #1822	C₂×C₁₃	semidirect
287. #1816	C₂×C₁₃	semidirect
288. #1815	C₂×C₁₃	semidirect
383. C₂×#108	C₂²×C₁₃	semidirect
384. C₂×#108	C₂²×C₁₃	semidirect
385. C₂×#107	C₂²×C₁₃	semidirect
386. C₂×#106	C₂²×C₁₃	semidirect
397. C₂×#103	C₂²×C₁₃	semidirect
398. C₂×#103	C₂²×C₁₃	semidirect
399. C₂×#101	C₂²×C₁₃	semidirect
400. C₂×#101	C₂²×C₁₃	semidirect
410. #343	C₂²×C₁₃	semidirect
411. #343	C₂²×C₁₃	semidirect
412. #343	C₂²×C₁₃	semidirect
413. #343	C₂²×C₁₃	semidirect
414. #343	C₂²×C₁₃	semidirect
415. #343	C₂²×C₁₃	semidirect
416. #341	C₂²×C₁₃	semidirect
417. #341	C₂²×C₁₃	semidirect
665. C₁₃	#24574	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×#485	2
C₁₃×#3007	2
C₁₃×#2896	2
C₁₃×#2880	2
C₁₃×#2079	2
C₁₃×#2078	2
C₁₃×#2052	2
C₁₃×#1908	2
C₁₃×#1901	2
C₁₃×#1855	2
C₁₃×#1822	2
C₁₃×#1816	2
C₁₃×#1815	2
#24574	13

Subgroups — C13×#24574 #15710913

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#24574 #15710913