Subgroups — C₁₃×#61291 #15747630

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3350	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3348	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3346	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3343	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3162	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3097	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3096	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3078	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3057	C₂	1	2	yes	maximal, complemented
13	C₂×C₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2932	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2913	C₂	1	2	yes	maximal, complemented
16	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#131	C₂²	1	2	yes	—
18	C₁₃×#559	—	2	1	no	—
19	C₁₃×#559	—	2	2	no	—
20	C₁₃×#557	—	2	1	no	—
21	C₁₃×#556	—	2	1	no	—
22	C₁₃×#556	—	2	2	no	—
23	C₁₃×#556	C₂²	1	2	yes	complemented
24	C₁₃×#555	C₂²	1	2	yes	—
25	C₁₃×#554	C₂²	1	2	yes	complemented
26	C₁₃×#553	C₂²	1	4	yes	—
27	C₁₃×#552	C₂²	1	4	yes	complemented
28	C₁₃×#550	—	2	1	no	—
29	C₁₃×#547	C₂²	1	2	yes	—
30	C₁₃×#539	—	2	2	no	—
31	C₁₃×#538	—	2	2	no	—
32	C₁₃×#536	C₂²	1	2	yes	—
33	C₁₃×#535	C₂²	1	2	yes	—
34	C₁₃×#533	C₂²	1	1	yes	characteristic
35	C₁₃×#533	C₂²	1	1	yes	characteristic
36	C₁₃×#532	C₂²	1	1	yes	characteristic
37	C₁₃×#529	—	2	2	no	—
38	C₁₃×#525	—	2	2	no	—
39	C₁₃×#520	C₂²	1	2	yes	—
40	C₁₃×#520	C₂²	1	2	yes	—
41	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
43	C₁₃×#501	C₂²	1	2	yes	complemented
44	C₁₃×#501	C₂²	1	2	yes	complemented
45	C₁₃×#501	C₂²	1	2	yes	complemented
46	C₁₃×#501	C₂²	1	2	yes	complemented
47	C₁₃×#485	C₂²	1	4	yes	complemented
48	C₁₃×#485	C₂²	1	4	yes	complemented
49	C₁₃×#484	C₂²	1	4	yes	complemented
50	C₁₃×#483	C₂²	1	4	yes	complemented
51	C₁₃×#482	C₂²	1	4	yes	—
52	C₁₃×#482	C₂²	1	4	yes	—
53	C₁₃×#481	C₂²	1	4	yes	—
54	C₁₃×#480	C₂²	1	4	yes	—
55	C₁₃×#479	C₂²	1	4	yes	complemented
56	C₁₃×#478	C₂²	1	4	yes	—
57	C₁₃×#477	C₂²	1	2	yes	complemented
58	C₁₃×#476	C₂²	1	2	yes	—
59	C₁₃×#475	C₂²	1	2	yes	complemented
60	C₁₃×#474	C₂²	1	2	yes	—
61	C₁₃×#468	C₂²	1	4	yes	—
62	C₁₃×#468	C₂²	1	4	yes	—
63	C₁₃×#465	C₂²	1	4	yes	—
64	C₁₃×#465	C₂²	1	4	yes	—
65	C₁₃×#440	C₂²	1	4	yes	—
66	C₁₃×#440	C₂²	1	4	yes	—
67	C₁₃×#435	C₂²	1	4	yes	complemented
68	C₁₃×#435	C₂²	1	4	yes	complemented
69	C₁₃×#428	C₂²	1	2	yes	—
70	C₁₃×#428	C₂²	1	2	yes	—
71	C₁₃×#428	C₂²	1	4	yes	complemented
72	C₁₃×#428	C₂²	1	4	yes	complemented
73	C₁₃×#427	C₂²	1	2	yes	—
74	C₁₃×#427	C₂²	1	2	yes	—
75	C₁₃×#427	C₂²	1	4	yes	complemented
76	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
77	C₂×C₁₃×#107	C₂²	1	4	yes	complemented
78	C₁₃×#423	C₂²	1	1	yes	characteristic
79	C₁₃×#419	C₂²	1	2	yes	—
80	C₁₃×#418	C₂²	1	2	yes	—
81	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
82	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
83	C₁₃×#408	C₂²	1	2	yes	—
84	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
85	C₂×C₁₃×#41	—	2	2	no	—
86	C₂×C₁₃×#41	C₂³	1	2	yes	—
87	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
88	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₁₃	—	2	1	no	—
90	C₂×C₁₃×SD₁₆	—	2	4	no	—
91	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
92	C₁₃×#131	—	2	8	no	—
93	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
94	C₂×C₁₃×M₁₆	C₂³	1	4	yes	—
95	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
96	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
97	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
98	C₁₃×C₄⋊Q₈	—	2	2	no	—
99	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
100	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
101	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
102	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
103	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
104	C₁₃×#127	—	2	2	no	—
105	C₁₃×#127	D₄	1	1	yes	characteristic
106	C₁₃×#126	—	2	4	no	—
107	C₁₃×#126	—	2	4	no	—
108	C₁₃×#126	—	2	4	no	—
109	C₁₃×#125	—	2	2	no	—
110	C₁₃×#125	—	2	4	no	—
111	C₁₃×#125	C₂³	1	2	yes	—
112	C₁₃×#125	C₂³	1	2	yes	—
113	C₁₃×#124	—	2	2	no	—
114	C₁₃×#124	—	2	2	no	—
115	C₁₃×#124	—	2	2	no	—
116	C₁₃×#124	—	2	4	no	—
117	C₁₃×#124	D₄	1	2	yes	—
118	C₁₃×#123	—	2	4	no	—
119	C₁₃×#123	—	2	4	no	—
120	C₁₃×#123	—	2	4	no	—
121	C₁₃×#123	—	2	4	no	—
122	C₁₃×C₂²⋊Q₈	—	2	1	no	—
123	C₁₃×C₂²⋊Q₈	—	2	1	no	—
124	C₁₃×C₂²⋊Q₈	—	2	1	no	—
125	C₁₃×C₂²⋊Q₈	—	2	1	no	—
126	C₁₃×C₂²⋊Q₈	—	2	2	no	—
127	C₁₃×C₂²⋊Q₈	—	2	4	no	—
128	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
129	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
130	C₁₃×#121	—	2	2	no	—
131	C₁₃×#121	—	2	4	no	—
132	C₁₃×#121	D₄	1	2	yes	—
133	C₁₃×#121	D₄	1	2	yes	—
134	C₁₃×#121	C₂³	1	4	yes	—
135	C₁₃×#121	C₂³	1	4	yes	—
136	C₁₃×#120	—	2	4	no	—
137	C₄×Q₈×C₁₃	—	2	2	no	—
138	C₄×Q₈×C₁₃	—	2	2	no	—
139	C₄×Q₈×C₁₃	—	2	2	no	—
140	C₄×Q₈×C₁₃	—	2	1	no	—
141	C₄×Q₈×C₁₃	—	2	1	no	—
142	C₄×Q₈×C₁₃	—	2	1	no	—
143	C₄×Q₈×C₁₃	—	2	1	no	—
144	C₄×Q₈×C₁₃	—	2	1	no	—
145	C₄×Q₈×C₁₃	—	2	1	no	—
146	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
147	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
148	C₄×D₄×C₁₃	—	2	4	no	—
149	C₄×D₄×C₁₃	—	2	4	no	—
150	C₄×D₄×C₁₃	—	2	2	no	—
151	C₄×D₄×C₁₃	—	2	2	no	—
152	C₄×D₄×C₁₃	—	2	2	no	—
153	C₄×D₄×C₁₃	—	2	4	no	—
154	C₄×D₄×C₁₃	—	2	1	no	—
155	C₄×D₄×C₁₃	—	2	1	no	—
156	C₄×D₄×C₁₃	C₂³	1	2	yes	—
157	C₄×D₄×C₁₃	C₂³	1	2	yes	—
158	C₄×D₄×C₁₃	C₂³	1	2	yes	—
159	C₄×D₄×C₁₃	C₂³	1	2	yes	—
160	C₁₃×#117	—	2	2	no	—
161	C₁₃×#117	—	2	4	no	—
162	C₁₃×#117	C₂³	1	2	yes	—
163	C₁₃×#117	C₂³	1	2	yes	—
164	C₁₃×#117	C₂³	1	4	yes	—
165	C₁₃×#117	C₂³	1	4	yes	—
166	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
171	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
172	C₂×C₄²×C₁₃	—	2	1	no	—
173	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
174	C₁₃×#107	C₂³	1	4	yes	—
175	C₁₃×#107	C₂³	1	2	yes	—
176	C₁₃×#107	C₂³	1	4	yes	—
177	C₁₃×#107	C₂³	1	4	yes	—
178	C₁₃×#107	C₂³	1	2	yes	—
179	C₁₃×#107	C₂³	1	2	yes	—
180	C₁₃×#107	C₂³	1	2	yes	—
181	C₁₃×#106	C₂³	1	2	yes	—
182	C₁₃×#106	C₂³	1	2	yes	—
183	C₁₃×#106	C₂³	1	2	yes	—
184	C₁₃×#106	C₂³	1	2	yes	—
185	C₁₃×#106	C₂³	1	4	yes	—
186	C₁₃×#106	C₂³	1	4	yes	—
187	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
188	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
189	C₁₃×#103	C₂³	1	4	yes	—
190	C₁₃×#103	C₂³	1	4	yes	—
191	C₁₃×#103	C₂³	1	4	yes	—
192	C₁₃×#102	C₂³	1	4	yes	—
193	C₁₃×#102	C₂³	1	4	yes	—
194	C₁₃×#102	C₂³	1	4	yes	—
195	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
196	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
197	C₁₃×#97	C₂³	1	2	yes	—
198	C₁₃×#97	C₂³	1	2	yes	—
199	#61291	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
200	C₂⁴×C₁₃	—	2	1	no	—
201	C₁₃×#41	—	2	4	no	—
202	C₁₃×#41	—	2	4	no	—
203	C₁₃×#41	—	8	4	no	—
204	C₂×Q₈×C₁₃	—	2	1	no	—
205	C₂×Q₈×C₁₃	—	2	1	no	—
206	C₂×Q₈×C₁₃	—	2	1	no	—
207	C₂×Q₈×C₁₃	—	2	1	no	—
208	C₂×Q₈×C₁₃	—	2	1	no	—
209	C₂×Q₈×C₁₃	—	2	2	no	—
210	C₂×Q₈×C₁₃	—	2	2	no	—
211	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
212	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
213	C₂×D₄×C₁₃	—	2	4	no	—
214	C₂×D₄×C₁₃	—	2	4	no	—
215	C₂×D₄×C₁₃	—	2	1	no	—
216	C₂×D₄×C₁₃	—	2	2	no	—
217	C₂×D₄×C₁₃	—	2	2	no	—
218	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
219	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
220	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
221	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
222	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
223	C₂²×C₄×C₁₃	—	2	1	no	—
224	C₂²×C₄×C₁₃	—	2	1	no	—
225	C₂²×C₄×C₁₃	—	2	1	no	—
226	C₂²×C₄×C₁₃	—	2	4	no	—
227	C₂²×C₄×C₁₃	—	2	4	no	—
228	C₂²×C₄×C₁₃	—	2	2	no	—
229	C₂²×C₄×C₁₃	—	2	2	no	—
230	C₂²×C₄×C₁₃	—	8	2	no	—
231	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
232	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
233	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
234	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
235	C₁₃×SD₁₆	—	2	8	no	—
236	C₁₃×M₁₆	—	2	4	no	—
237	C₁₃×M₁₆	—	2	8	no	—
238	C₂×C₈×C₁₃	—	2	2	no	—
239	C₂×C₈×C₁₃	—	2	8	no	—
240	C₂×C₈×C₁₃	#41	1	4	yes	complemented
241	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
242	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
243	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
244	C₁₃×C₄⋊C₄	—	2	2	no	—
245	C₁₃×C₄⋊C₄	—	2	2	no	—
246	C₁₃×C₄⋊C₄	—	2	1	no	—
247	C₁₃×C₄⋊C₄	—	2	1	no	—
248	C₁₃×C₄⋊C₄	—	2	4	no	—
249	C₁₃×C₄⋊C₄	—	2	4	no	—
250	C₁₃×C₄⋊C₄	—	2	1	no	—
251	C₁₃×C₄⋊C₄	—	2	2	no	—
252	C₁₃×C₄⋊C₄	—	2	4	no	—
253	C₁₃×C₄⋊C₄	—	2	2	no	—
254	C₁₃×C₄⋊C₄	—	2	1	no	—
255	C₁₃×C₄⋊C₄	—	2	2	no	—
256	C₁₃×C₄⋊C₄	—	2	1	no	—
257	C₁₃×C₄⋊C₄	—	2	2	no	—
258	C₁₃×C₄⋊C₄	—	2	1	no	—
259	C₁₃×C₄⋊C₄	—	2	4	no	—
260	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
261	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
262	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
263	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
264	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
265	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
266	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
267	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
268	C₁₃×C₂²⋊C₄	—	2	4	no	—
269	C₁₃×C₂²⋊C₄	—	2	2	no	—
270	C₁₃×C₂²⋊C₄	—	2	4	no	—
271	C₁₃×C₂²⋊C₄	—	2	2	no	—
272	C₁₃×C₂²⋊C₄	—	2	4	no	—
273	C₁₃×C₂²⋊C₄	—	2	4	no	—
274	C₁₃×C₂²⋊C₄	—	2	2	no	—
275	C₁₃×C₂²⋊C₄	—	2	2	no	—
276	C₁₃×C₂²⋊C₄	—	2	4	no	—
277	C₁₃×C₂²⋊C₄	—	2	4	no	—
278	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
279	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
280	C₄²×C₁₃	—	2	2	no	—
281	C₄²×C₁₃	—	2	2	no	—
282	C₄²×C₁₃	—	2	4	no	—
283	C₄²×C₁₃	—	2	4	no	—
284	C₄²×C₁₃	—	2	2	no	—
285	C₄²×C₁₃	—	2	2	no	—
286	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
287	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
288	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
289	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
290	#3507	C₂×C₁₃	1	1	yes	characteristic, complemented
291	#3506	C₂×C₁₃	1	1	yes	characteristic
292	#3350	C₂×C₁₃	1	4	yes	complemented
293	#3348	C₂×C₁₃	1	4	yes	complemented
294	#3346	C₂×C₁₃	1	4	yes	complemented
295	#3343	C₂×C₁₃	1	4	yes	complemented
296	#3162	C₂×C₁₃	1	1	yes	characteristic, complemented
297	#3097	C₂×C₁₃	1	2	yes	complemented
298	#3096	C₂×C₁₃	1	2	yes	complemented
299	#3078	C₂×C₁₃	1	1	yes	characteristic, complemented
300	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
301	#3057	C₂×C₁₃	1	2	yes	complemented
302	C₂×#440	C₂×C₁₃	1	1	yes	characteristic, complemented
303	#2932	C₂×C₁₃	1	1	yes	characteristic, complemented
304	#2913	C₂×C₁₃	1	2	yes	complemented
305	C₂³×C₁₃	—	2	2	no	—
306	C₂³×C₁₃	—	4	2	no	—
307	C₂³×C₁₃	—	8	1	no	—
308	C₂³×C₁₃	—	8	1	no	—
309	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
310	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
311	Q₈×C₁₃	—	2	4	no	—
312	Q₈×C₁₃	—	2	2	no	—
313	Q₈×C₁₃	—	2	2	no	—
314	Q₈×C₁₃	—	4	2	no	—
315	Q₈×C₁₃	—	4	2	no	—
316	Q₈×C₁₃	—	4	2	no	—
317	Q₈×C₁₃	—	8	1	no	—
318	Q₈×C₁₃	—	8	1	no	—
319	D₄×C₁₃	—	2	8	no	—
320	D₄×C₁₃	—	2	4	no	—
321	D₄×C₁₃	—	2	2	no	—
322	D₄×C₁₃	—	2	2	no	—
323	D₄×C₁₃	—	4	2	no	—
324	D₄×C₁₃	—	4	2	no	—
325	D₄×C₁₃	—	4	2	no	—
326	D₄×C₁₃	—	8	4	no	—
327	D₄×C₁₃	—	8	4	no	—
328	C₂×C₄×C₁₃	—	2	4	no	—
329	C₂×C₄×C₁₃	—	2	4	no	—
330	C₂×C₄×C₁₃	—	2	2	no	—
331	C₂×C₄×C₁₃	—	2	2	no	—
332	C₂×C₄×C₁₃	—	2	2	no	—
333	C₂×C₄×C₁₃	—	2	2	no	—
334	C₂×C₄×C₁₃	—	2	2	no	—
335	C₂×C₄×C₁₃	—	2	2	no	—
336	C₂×C₄×C₁₃	—	2	2	no	—
337	C₂×C₄×C₁₃	—	4	1	no	—
338	C₂×C₄×C₁₃	—	4	1	no	—
339	C₂×C₄×C₁₃	—	4	4	no	—
340	C₂×C₄×C₁₃	—	4	2	no	—
341	C₂×C₄×C₁₃	—	8	2	no	—
342	C₂×C₄×C₁₃	—	8	1	no	—
343	C₂×C₄×C₁₃	—	8	4	no	—
344	C₂×C₄×C₁₃	—	8	1	no	—
345	C₂×C₄×C₁₃	—	8	4	no	—
346	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
347	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
348	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
349	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
350	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
351	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
352	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
353	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
354	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
355	C₈×C₁₃	—	2	4	no	—
356	C₈×C₁₃	—	2	2	no	—
357	C₈×C₁₃	C₂×#41	1	4	yes	—
358	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
359	C₂×#131	C₂²×C₁₃	1	2	yes	—
360	#559	—	2	1	no	—
361	#559	—	2	2	no	—
362	#557	—	2	1	no	—
363	#556	—	2	1	no	—
364	#556	—	2	2	no	—
365	#556	C₂²×C₁₃	1	2	yes	complemented
366	#555	C₂²×C₁₃	1	2	yes	—
367	#554	C₂²×C₁₃	1	2	yes	complemented
368	#553	C₂²×C₁₃	1	4	yes	—
369	#552	C₂²×C₁₃	1	4	yes	complemented
370	#550	—	2	1	no	—
371	#547	C₂²×C₁₃	1	2	yes	—
372	#539	—	2	2	no	—
373	#538	—	2	2	no	—
374	#536	C₂²×C₁₃	1	2	yes	—
375	#535	C₂²×C₁₃	1	2	yes	—
376	#533	C₂²×C₁₃	1	1	yes	characteristic
377	#533	C₂²×C₁₃	1	1	yes	characteristic
378	#532	C₂²×C₁₃	1	1	yes	characteristic
379	#529	—	2	2	no	—
380	#525	—	2	2	no	—
381	#520	C₂²×C₁₃	1	2	yes	—
382	#520	C₂²×C₁₃	1	2	yes	—
383	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
384	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
385	#501	C₂²×C₁₃	1	2	yes	complemented
386	#501	C₂²×C₁₃	1	2	yes	complemented
387	#501	C₂²×C₁₃	1	2	yes	complemented
388	#501	C₂²×C₁₃	1	2	yes	complemented
389	#485	C₂²×C₁₃	1	4	yes	complemented
390	#485	C₂²×C₁₃	1	4	yes	complemented
391	#484	C₂²×C₁₃	1	4	yes	complemented
392	#483	C₂²×C₁₃	1	4	yes	complemented
393	#482	C₂²×C₁₃	1	4	yes	—
394	#482	C₂²×C₁₃	1	4	yes	—
395	#481	C₂²×C₁₃	1	4	yes	—
396	#480	C₂²×C₁₃	1	4	yes	—
397	#479	C₂²×C₁₃	1	4	yes	complemented
398	#478	C₂²×C₁₃	1	4	yes	—
399	#477	C₂²×C₁₃	1	2	yes	complemented
400	#476	C₂²×C₁₃	1	2	yes	—
401	#475	C₂²×C₁₃	1	2	yes	complemented
402	#474	C₂²×C₁₃	1	2	yes	—
403	#468	C₂²×C₁₃	1	4	yes	—
404	#468	C₂²×C₁₃	1	4	yes	—
405	#465	C₂²×C₁₃	1	4	yes	—
406	#465	C₂²×C₁₃	1	4	yes	—
407	#440	C₂²×C₁₃	1	4	yes	—
408	#440	C₂²×C₁₃	1	4	yes	—
409	#435	C₂²×C₁₃	1	4	yes	complemented
410	#435	C₂²×C₁₃	1	4	yes	complemented
411	#428	C₂²×C₁₃	1	2	yes	—
412	#428	C₂²×C₁₃	1	2	yes	—
413	#428	C₂²×C₁₃	1	4	yes	complemented
414	#428	C₂²×C₁₃	1	4	yes	complemented
415	#427	C₂²×C₁₃	1	2	yes	—
416	#427	C₂²×C₁₃	1	2	yes	—
417	#427	C₂²×C₁₃	1	4	yes	complemented
418	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
419	C₂×#107	C₂²×C₁₃	1	4	yes	complemented
420	#423	C₂²×C₁₃	1	1	yes	characteristic
421	#419	C₂²×C₁₃	1	2	yes	—
422	#418	C₂²×C₁₃	1	2	yes	—
423	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
424	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
425	#408	C₂²×C₁₃	1	2	yes	—
426	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
427	C₂²×C₁₃	—	2	1	no	—
428	C₂²×C₁₃	—	2	1	no	—
429	C₂²×C₁₃	—	2	4	no	—
430	C₂²×C₁₃	—	2	4	no	—
431	C₂²×C₁₃	—	2	4	no	—
432	C₂²×C₁₃	—	4	2	no	—
433	C₂²×C₁₃	—	4	2	no	—
434	C₂²×C₁₃	—	4	2	no	—
435	C₂²×C₁₃	—	8	4	no	—
436	C₂²×C₁₃	#547	1	2	yes	—
437	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
438	C₄×C₁₃	—	2	1	no	—
439	C₄×C₁₃	—	2	1	no	—
440	C₄×C₁₃	—	2	1	no	—
441	C₄×C₁₃	—	2	1	no	—
442	C₄×C₁₃	—	2	4	no	—
443	C₄×C₁₃	—	4	2	no	—
444	C₄×C₁₃	—	4	2	no	—
445	C₄×C₁₃	—	4	2	no	—
446	C₄×C₁₃	—	4	2	no	—
447	C₄×C₁₃	—	4	2	no	—
448	C₄×C₁₃	—	4	2	no	—
449	C₄×C₁₃	—	4	2	no	—
450	C₄×C₁₃	#547	1	2	yes	—
451	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
452	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
453	C₂×#41	—	2	2	no	—
454	C₂×#41	C₂³×C₁₃	1	2	yes	—
455	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
456	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
457	C₂³×C₄	—	2	1	no	—
458	C₂×SD₁₆	—	2	4	no	—
459	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
460	#131	—	2	8	no	—
461	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
462	C₂×M₁₆	C₂³×C₁₃	1	4	yes	—
463	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
464	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
465	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
466	C₄⋊Q₈	—	2	2	no	—
467	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
468	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
469	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
470	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
471	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
472	#127	—	2	2	no	—
473	#127	D₄×C₁₃	1	1	yes	characteristic
474	#126	—	2	4	no	—
475	#126	—	2	4	no	—
476	#126	—	2	4	no	—
477	#125	—	2	2	no	—
478	#125	—	2	4	no	—
479	#125	C₂³×C₁₃	1	2	yes	—
480	#125	C₂³×C₁₃	1	2	yes	—
481	#124	—	2	2	no	—
482	#124	—	2	2	no	—
483	#124	—	2	2	no	—
484	#124	—	2	4	no	—
485	#124	D₄×C₁₃	1	2	yes	—
486	#123	—	2	4	no	—
487	#123	—	2	4	no	—
488	#123	—	2	4	no	—
489	#123	—	2	4	no	—
490	C₂²⋊Q₈	—	2	1	no	—
491	C₂²⋊Q₈	—	2	1	no	—
492	C₂²⋊Q₈	—	2	1	no	—
493	C₂²⋊Q₈	—	2	1	no	—
494	C₂²⋊Q₈	—	2	2	no	—
495	C₂²⋊Q₈	—	2	4	no	—
496	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
497	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
498	#121	—	2	2	no	—
499	#121	—	2	4	no	—
500	#121	D₄×C₁₃	1	2	yes	—
501	#121	D₄×C₁₃	1	2	yes	—
502	#121	C₂³×C₁₃	1	4	yes	—
503	#121	C₂³×C₁₃	1	4	yes	—
504	#120	—	2	4	no	—
505	C₄×Q₈	—	2	2	no	—
506	C₄×Q₈	—	2	2	no	—
507	C₄×Q₈	—	2	2	no	—
508	C₄×Q₈	—	2	1	no	—
509	C₄×Q₈	—	2	1	no	—
510	C₄×Q₈	—	2	1	no	—
511	C₄×Q₈	—	2	1	no	—
512	C₄×Q₈	—	2	1	no	—
513	C₄×Q₈	—	2	1	no	—
514	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
515	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
516	C₄×D₄	—	2	4	no	—
517	C₄×D₄	—	2	4	no	—
518	C₄×D₄	—	2	2	no	—
519	C₄×D₄	—	2	2	no	—
520	C₄×D₄	—	2	2	no	—
521	C₄×D₄	—	2	4	no	—
522	C₄×D₄	—	2	1	no	—
523	C₄×D₄	—	2	1	no	—
524	C₄×D₄	C₂³×C₁₃	1	2	yes	—
525	C₄×D₄	C₂³×C₁₃	1	2	yes	—
526	C₄×D₄	C₂³×C₁₃	1	2	yes	—
527	C₄×D₄	C₂³×C₁₃	1	2	yes	—
528	#117	—	2	2	no	—
529	#117	—	2	4	no	—
530	#117	C₂³×C₁₃	1	2	yes	—
531	#117	C₂³×C₁₃	1	2	yes	—
532	#117	C₂³×C₁₃	1	4	yes	—
533	#117	C₂³×C₁₃	1	4	yes	—
534	C₂×C₄⋊C₄	—	2	1	no	—
535	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
536	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
537	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
538	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
539	C₂×C₂²⋊C₄	—	2	1	no	—
540	C₂×C₄²	—	2	1	no	—
541	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
542	#107	C₂³×C₁₃	1	4	yes	—
543	#107	C₂³×C₁₃	1	2	yes	—
544	#107	C₂³×C₁₃	1	4	yes	—
545	#107	C₂³×C₁₃	1	4	yes	—
546	#107	C₂³×C₁₃	1	2	yes	—
547	#107	C₂³×C₁₃	1	2	yes	—
548	#107	C₂³×C₁₃	1	2	yes	—
549	#106	C₂³×C₁₃	1	2	yes	—
550	#106	C₂³×C₁₃	1	2	yes	—
551	#106	C₂³×C₁₃	1	2	yes	—
552	#106	C₂³×C₁₃	1	2	yes	—
553	#106	C₂³×C₁₃	1	4	yes	—
554	#106	C₂³×C₁₃	1	4	yes	—
555	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
556	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
557	#103	C₂³×C₁₃	1	4	yes	—
558	#103	C₂³×C₁₃	1	4	yes	—
559	#103	C₂³×C₁₃	1	4	yes	—
560	#102	C₂³×C₁₃	1	4	yes	—
561	#102	C₂³×C₁₃	1	4	yes	—
562	#102	C₂³×C₁₃	1	4	yes	—
563	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
564	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
565	#97	C₂³×C₁₃	1	2	yes	—
566	#97	C₂³×C₁₃	1	2	yes	—
567	C₂×C₁₃	—	2	2	no	—
568	C₂×C₁₃	—	4	4	no	—
569	C₂×C₁₃	—	8	2	no	—
570	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
571	C₂×C₁₃	#3585	1	1	yes	characteristic
572	C₂×C₁₃	#3586	1	1	yes	characteristic
573	C₂⁴	—	2	1	no	—
574	#41	—	2	4	no	—
575	#41	—	2	4	no	—
576	#41	—	8	4	no	—
577	C₂×Q₈	—	2	1	no	—
578	C₂×Q₈	—	2	1	no	—
579	C₂×Q₈	—	2	1	no	—
580	C₂×Q₈	—	2	1	no	—
581	C₂×Q₈	—	2	1	no	—
582	C₂×Q₈	—	2	2	no	—
583	C₂×Q₈	—	2	2	no	—
584	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
585	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
586	C₂×D₄	—	2	4	no	—
587	C₂×D₄	—	2	4	no	—
588	C₂×D₄	—	2	1	no	—
589	C₂×D₄	—	2	2	no	—
590	C₂×D₄	—	2	2	no	—
591	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
592	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
593	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
594	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
595	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
596	C₂²×C₄	—	2	1	no	—
597	C₂²×C₄	—	2	1	no	—
598	C₂²×C₄	—	2	1	no	—
599	C₂²×C₄	—	2	4	no	—
600	C₂²×C₄	—	2	4	no	—
601	C₂²×C₄	—	2	2	no	—
602	C₂²×C₄	—	2	2	no	—
603	C₂²×C₄	—	8	2	no	—
604	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
605	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
606	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
607	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
608	SD₁₆	—	2	8	no	—
609	M₁₆	—	2	4	no	—
610	M₁₆	—	2	8	no	—
611	C₂×C₈	—	2	2	no	—
612	C₂×C₈	—	2	8	no	—
613	C₂×C₈	C₁₃×#41	1	4	yes	complemented
614	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
615	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
616	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
617	C₄⋊C₄	—	2	2	no	—
618	C₄⋊C₄	—	2	2	no	—
619	C₄⋊C₄	—	2	1	no	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	—	2	4	no	—
622	C₄⋊C₄	—	2	4	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	2	2	no	—
625	C₄⋊C₄	—	2	4	no	—
626	C₄⋊C₄	—	2	2	no	—
627	C₄⋊C₄	—	2	1	no	—
628	C₄⋊C₄	—	2	2	no	—
629	C₄⋊C₄	—	2	1	no	—
630	C₄⋊C₄	—	2	2	no	—
631	C₄⋊C₄	—	2	1	no	—
632	C₄⋊C₄	—	2	4	no	—
633	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
634	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
635	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
636	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
637	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
638	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
639	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
640	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
641	C₂²⋊C₄	—	2	4	no	—
642	C₂²⋊C₄	—	2	2	no	—
643	C₂²⋊C₄	—	2	4	no	—
644	C₂²⋊C₄	—	2	2	no	—
645	C₂²⋊C₄	—	2	4	no	—
646	C₂²⋊C₄	—	2	4	no	—
647	C₂²⋊C₄	—	2	2	no	—
648	C₂²⋊C₄	—	2	2	no	—
649	C₂²⋊C₄	—	2	4	no	—
650	C₂²⋊C₄	—	2	4	no	—
651	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
652	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
653	C₄²	—	2	2	no	—
654	C₄²	—	2	2	no	—
655	C₄²	—	2	4	no	—
656	C₄²	—	2	4	no	—
657	C₄²	—	2	2	no	—
658	C₄²	—	2	2	no	—
659	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
660	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
661	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
662	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
663	C₁₃	#61291	1	1	yes	characteristic, direct product factor, Sylow
664	C₂³	—	2	2	no	—
665	C₂³	—	4	2	no	—
666	C₂³	—	8	1	no	—
667	C₂³	—	8	1	no	—
668	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
669	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
670	Q₈	—	2	4	no	—
671	Q₈	—	2	2	no	—
672	Q₈	—	2	2	no	—
673	Q₈	—	4	2	no	—
674	Q₈	—	4	2	no	—
675	Q₈	—	4	2	no	—
676	Q₈	—	8	1	no	—
677	Q₈	—	8	1	no	—
678	D₄	—	2	8	no	—
679	D₄	—	2	4	no	—
680	D₄	—	2	2	no	—
681	D₄	—	2	2	no	—
682	D₄	—	4	2	no	—
683	D₄	—	4	2	no	—
684	D₄	—	4	2	no	—
685	D₄	—	8	4	no	—
686	D₄	—	8	4	no	—
687	C₂×C₄	—	2	4	no	—
688	C₂×C₄	—	2	4	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	4	no	—
699	C₂×C₄	—	4	2	no	—
700	C₂×C₄	—	8	2	no	—
701	C₂×C₄	—	8	1	no	—
702	C₂×C₄	—	8	1	no	—
703	C₂×C₄	—	8	4	no	—
704	C₂×C₄	—	8	4	no	—
705	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
706	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
707	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
708	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
709	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
710	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
711	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
712	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
713	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
714	C₈	—	2	4	no	—
715	C₈	—	2	2	no	—
716	C₈	C₂×C₁₃×#41	1	4	yes	—
717	C₂²	—	2	1	no	—
718	C₂²	—	2	1	no	—
719	C₂²	—	2	4	no	—
720	C₂²	—	2	4	no	—
721	C₂²	—	2	4	no	—
722	C₂²	—	4	2	no	—
723	C₂²	—	4	2	no	—
724	C₂²	—	4	2	no	—
725	C₂²	—	8	4	no	—
726	C₂²	C₁₃×#547	1	2	yes	—
727	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
728	C₄	—	2	1	no	—
729	C₄	—	2	1	no	—
730	C₄	—	2	1	no	—
731	C₄	—	2	1	no	—
732	C₄	—	2	4	no	—
733	C₄	—	4	2	no	—
734	C₄	—	4	2	no	—
735	C₄	—	4	2	no	—
736	C₄	—	4	2	no	—
737	C₄	—	4	2	no	—
738	C₄	—	4	2	no	—
739	C₄	—	4	2	no	—
740	C₄	C₁₃×#547	1	2	yes	—
741	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
742	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
743	C₂	—	2	2	no	—
744	C₂	—	4	4	no	—
745	C₂	—	8	2	no	—
746	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
747	C₂	C₁₃×#3585	1	1	yes	characteristic
748	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3506	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3507	C₂	semidirect
3. C₁₃×#3350	C₂	semidirect
4. C₁₃×#3348	C₂	semidirect
5. C₁₃×#3346	C₂	semidirect
6. C₁₃×#3343	C₂	semidirect
7. C₁₃×#3162	C₂	semidirect
8. C₁₃×#3097	C₂	semidirect
9. C₁₃×#3096	C₂	semidirect
10. C₁₃×#3078	C₂	semidirect
11. C₁₃×#3077	C₂	semidirect
12. C₁₃×#3057	C₂	semidirect
13. C₂×C₁₃×#440	C₂	semidirect
14. C₁₃×#2932	C₂	semidirect
15. C₁₃×#2913	C₂	semidirect
23. C₁₃×#556	C₂²	semidirect
25. C₁₃×#554	C₂²	semidirect
27. C₁₃×#552	C₂²	semidirect
43. C₁₃×#501	C₂²	semidirect
44. C₁₃×#501	C₂²	semidirect
45. C₁₃×#501	C₂²	semidirect
46. C₁₃×#501	C₂²	semidirect
47. C₁₃×#485	C₂²	semidirect
48. C₁₃×#485	C₂²	semidirect
49. C₁₃×#484	C₂²	semidirect
50. C₁₃×#483	C₂²	semidirect
55. C₁₃×#479	C₂²	semidirect
57. C₁₃×#477	C₂²	semidirect
59. C₁₃×#475	C₂²	semidirect
67. C₁₃×#435	C₂²	semidirect
68. C₁₃×#435	C₂²	semidirect
71. C₁₃×#428	C₂²	semidirect
72. C₁₃×#428	C₂²	semidirect
75. C₁₃×#427	C₂²	semidirect
77. C₂×C₁₃×#107	C₂²	semidirect
199. #61291	C₁₃	direct (N × H)
240. C₂×C₈×C₁₃	#41	semidirect
290. #3507	C₂×C₁₃	semidirect
292. #3350	C₂×C₁₃	semidirect
293. #3348	C₂×C₁₃	semidirect
294. #3346	C₂×C₁₃	semidirect
295. #3343	C₂×C₁₃	semidirect
296. #3162	C₂×C₁₃	semidirect
297. #3097	C₂×C₁₃	semidirect
298. #3096	C₂×C₁₃	semidirect
299. #3078	C₂×C₁₃	semidirect
300. #3077	C₂×C₁₃	semidirect
301. #3057	C₂×C₁₃	semidirect
302. C₂×#440	C₂×C₁₃	semidirect
303. #2932	C₂×C₁₃	semidirect
304. #2913	C₂×C₁₃	semidirect
365. #556	C₂²×C₁₃	semidirect
367. #554	C₂²×C₁₃	semidirect
369. #552	C₂²×C₁₃	semidirect
385. #501	C₂²×C₁₃	semidirect
386. #501	C₂²×C₁₃	semidirect
387. #501	C₂²×C₁₃	semidirect
388. #501	C₂²×C₁₃	semidirect
389. #485	C₂²×C₁₃	semidirect
390. #485	C₂²×C₁₃	semidirect
391. #484	C₂²×C₁₃	semidirect
392. #483	C₂²×C₁₃	semidirect
397. #479	C₂²×C₁₃	semidirect
399. #477	C₂²×C₁₃	semidirect
401. #475	C₂²×C₁₃	semidirect
409. #435	C₂²×C₁₃	semidirect
410. #435	C₂²×C₁₃	semidirect
413. #428	C₂²×C₁₃	semidirect
414. #428	C₂²×C₁₃	semidirect
417. #427	C₂²×C₁₃	semidirect
419. C₂×#107	C₂²×C₁₃	semidirect
613. C₂×C₈	C₁₃×#41	semidirect
663. C₁₃	#61291	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×#3507	2
C₁₃×#3506	2
C₁₃×#3350	2
C₁₃×#3348	2
C₁₃×#3346	2
C₁₃×#3343	2
C₁₃×#3162	2
C₁₃×#3097	2
C₁₃×#3096	2
C₁₃×#3078	2
C₁₃×#3077	2
C₁₃×#3057	2
C₂×C₁₃×#440	2
C₁₃×#2932	2
C₁₃×#2913	2
#61291	13

Subgroups — C13×#61291 #15747630

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61291 #15747630