Subgroups — C₁₃×#61479 #15747818

Order 3328.

1880 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3517	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3391	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3383	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3368	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3339	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3334	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3332	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3309	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3287	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3287	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3176	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3169	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3119	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3115	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2951	C₂	1	2	yes	maximal, complemented
17	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#135	C₂²	1	2	yes	—
20	C₁₃×#557	C₂²	1	2	yes	—
21	C₁₃×#553	—	2	4	no	—
22	C₁₃×#553	C₂²	1	4	yes	—
23	C₁₃×#550	—	2	2	no	—
24	C₁₃×#550	C₂²	1	4	yes	—
25	C₁₃×#550	C₂²	1	2	yes	—
26	C₁₃×#550	C₂²	1	2	yes	—
27	C₁₃×#547	—	2	2	no	—
28	C₁₃×#547	C₂²	1	2	yes	—
29	C₁₃×#540	—	2	4	no	—
30	C₁₃×#540	C₂²	1	4	yes	—
31	C₁₃×#532	—	2	2	no	—
32	C₁₃×#532	C₂²	1	2	yes	—
33	C₁₃×#529	—	2	2	no	—
34	C₁₃×#529	C₂²	1	1	yes	characteristic
35	C₁₃×#520	C₂²	1	4	yes	—
36	C₄×C₁₃×#41	C₂²	1	2	yes	—
37	C₁₃×#500	C₂²	1	1	yes	characteristic
38	C₁₃×#499	C₂²	1	2	yes	—
39	C₁₃×#493	C₂²	1	1	yes	characteristic
40	C₁₃×#493	C₂²	1	2	yes	—
41	C₁₃×#490	C₂²	1	4	yes	—
42	C₁₃×#486	C₂²	1	2	yes	—
43	C₁₃×#482	C₂²	1	4	yes	—
44	C₁₃×#481	C₂²	1	4	yes	—
45	C₁₃×#480	C₂²	1	4	yes	—
46	C₁₃×#479	C₂²	1	4	yes	—
47	C₁₃×#478	C₂²	1	4	yes	—
48	C₁₃×#475	C₂²	1	2	yes	—
49	C₁₃×#474	C₂²	1	2	yes	—
50	C₁₃×#469	C₂²	1	4	yes	—
51	C₁₃×#466	C₂²	1	2	yes	—
52	C₁₃×#466	C₂²	1	2	yes	—
53	C₁₃×#466	C₂²	1	2	yes	—
54	C₁₃×#466	C₂²	1	2	yes	—
55	C₁₃×#460	C₂²	1	2	yes	—
56	C₁₃×#460	C₂²	1	4	yes	—
57	C₁₃×#459	C₂²	1	4	yes	—
58	C₁₃×#459	C₂²	1	2	yes	—
59	C₁₃×#449	C₂²	1	4	yes	—
60	C₁₃×#449	C₂²	1	4	yes	—
61	C₁₃×#449	C₂²	1	4	yes	—
62	C₁₃×#446	C₂²	1	1	yes	characteristic
63	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
64	C₁₃×#442	C₂²	1	4	yes	—
65	C₁₃×#440	C₂²	1	4	yes	—
66	C₁₃×#440	C₂²	1	4	yes	—
67	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
68	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
69	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
70	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
71	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
72	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
73	C₄×C₁₃×D₈	C₂²	1	2	yes	—
74	C₄×C₁₃×D₈	C₂²	1	2	yes	—
75	C₄×C₁₃×D₈	C₂²	1	2	yes	—
76	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
77	C₁₃×#436	C₂²	1	1	yes	characteristic
78	C₁₃×#435	C₂²	1	2	yes	—
79	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
80	C₈×D₄×C₁₃	C₂²	1	2	yes	—
81	C₁₃×#433	C₂²	1	2	yes	—
82	C₁₃×#432	C₂²	1	1	yes	characteristic
83	C₁₃×#427	C₂²	1	1	yes	characteristic
84	C₂×C₁₃×#107	C₂²	1	2	yes	—
85	C₁₃×#417	C₂²	1	4	yes	—
86	C₁₃×#416	C₂²	1	2	yes	—
87	C₁₃×#405	C₂²	1	2	yes	—
88	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
89	C₂×C₁₃×#41	—	2	2	no	—
90	C₂×C₁₃×#41	—	2	2	no	—
91	C₂×C₁₃×#41	—	2	2	no	—
92	C₂×C₁₃×#41	C₂³	1	2	yes	—
93	C₂×C₁₃×#41	C₂³	1	4	yes	—
94	C₁₃×#135	—	2	4	no	—
95	C₁₃×#135	—	2	8	no	—
96	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
97	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
98	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
99	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
100	C₂×C₁₃×D₈	C₂³	1	2	yes	—
101	C₂×C₁₃×D₈	C₂³	1	2	yes	—
102	C₂×C₁₃×D₈	C₂³	1	4	yes	—
103	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
104	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
105	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
106	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
107	C₁₃×C₄⋊Q₈	—	2	2	no	—
108	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
109	C₁₃×#127	—	2	2	no	—
110	C₁₃×#127	—	2	4	no	—
111	C₁₃×#127	C₂³	1	2	yes	—
112	C₁₃×#127	C₂³	1	4	yes	—
113	C₁₃×#126	—	2	4	no	—
114	C₁₃×#126	D₄	1	2	yes	—
115	C₁₃×#125	—	2	4	no	—
116	C₁₃×#125	D₄	1	1	yes	characteristic
117	C₁₃×#125	C₂³	1	4	yes	—
118	C₁₃×#124	—	2	2	no	—
119	C₁₃×#124	D₄	1	1	yes	characteristic
120	C₁₃×#123	—	2	4	no	—
121	C₁₃×#123	—	2	4	no	—
122	C₁₃×#123	—	2	4	no	—
123	C₁₃×#123	—	2	4	no	—
124	C₁₃×#123	D₄	1	2	yes	—
125	C₁₃×C₂²⋊Q₈	—	2	2	no	—
126	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
127	C₁₃×#121	—	2	4	no	—
128	C₁₃×#121	—	2	2	no	—
129	C₁₃×#121	—	2	2	no	—
130	C₁₃×#121	—	2	4	no	—
131	C₁₃×#121	—	2	4	no	—
132	C₁₃×#121	—	2	4	no	—
133	C₁₃×#121	—	2	4	no	—
134	C₁₃×#121	—	2	4	no	—
135	C₁₃×#121	—	2	4	no	—
136	C₁₃×#121	D₄	1	1	yes	characteristic
137	C₁₃×#121	C₂³	1	4	yes	—
138	C₁₃×#121	C₂³	1	4	yes	—
139	C₁₃×#121	C₂³	1	4	yes	—
140	C₄×Q₈×C₁₃	—	2	2	no	—
141	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
142	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
143	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
144	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
145	C₄×D₄×C₁₃	—	2	2	no	—
146	C₄×D₄×C₁₃	—	2	2	no	—
147	C₄×D₄×C₁₃	—	2	2	no	—
148	C₄×D₄×C₁₃	—	2	4	no	—
149	C₄×D₄×C₁₃	—	2	4	no	—
150	C₄×D₄×C₁₃	—	2	4	no	—
151	C₄×D₄×C₁₃	—	2	4	no	—
152	C₄×D₄×C₁₃	—	2	2	no	—
153	C₄×D₄×C₁₃	C₂³	1	4	yes	—
154	C₄×D₄×C₁₃	C₂³	1	2	yes	—
155	C₄×D₄×C₁₃	C₂³	1	2	yes	—
156	C₄×D₄×C₁₃	C₂³	1	4	yes	—
157	C₄×D₄×C₁₃	C₂³	1	2	yes	—
158	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₁₃×#117	—	2	4	no	—
160	C₁₃×#117	—	2	2	no	—
161	C₁₃×#117	C₂³	1	2	yes	—
162	C₁₃×#117	C₂³	1	2	yes	—
163	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
165	C₂×C₄²×C₁₃	—	2	2	no	—
166	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
167	C₁₃×#107	C₂³	1	1	yes	characteristic
168	C₁₃×#107	C₂³	1	2	yes	—
169	C₁₃×#107	C₂³	1	4	yes	—
170	C₁₃×#107	C₂³	1	1	yes	characteristic
171	C₁₃×#107	C₂³	1	2	yes	—
172	C₁₃×#106	C₂³	1	2	yes	—
173	C₁₃×#106	C₂³	1	4	yes	—
174	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
175	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
176	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
177	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
178	C₁₃×#103	C₂³	1	2	yes	—
179	C₁₃×#103	C₂³	1	2	yes	—
180	C₁₃×#103	C₂³	1	4	yes	—
181	C₁₃×#102	C₂³	1	2	yes	—
182	C₁₃×#102	C₂³	1	2	yes	—
183	C₁₃×#102	C₂³	1	4	yes	—
184	C₁₃×#102	C₂³	1	4	yes	—
185	C₁₃×#102	C₂³	1	4	yes	—
186	C₁₃×#102	C₂³	1	4	yes	—
187	C₁₃×#102	C₂³	1	4	yes	—
188	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
189	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
190	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
191	C₁₃×#97	C₂³	1	2	yes	—
192	C₁₃×#97	C₂³	1	2	yes	—
193	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
194	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
195	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
196	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
197	C₄×C₈×C₁₃	C₂³	1	2	yes	—
198	#61479	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
199	C₁₃×#41	—	2	4	no	—
200	C₁₃×#41	—	2	8	no	—
201	C₁₃×#41	—	4	2	no	—
202	C₁₃×#41	—	4	4	no	—
203	C₁₃×#41	—	8	4	no	—
204	C₁₃×#41	—	8	4	no	—
205	C₁₃×#41	—	8	4	no	—
206	C₂×Q₈×C₁₃	—	2	2	no	—
207	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
208	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
209	C₂×D₄×C₁₃	—	2	2	no	—
210	C₂×D₄×C₁₃	—	2	4	no	—
211	C₂×D₄×C₁₃	—	2	4	no	—
212	C₂×D₄×C₁₃	—	2	4	no	—
213	C₂×D₄×C₁₃	—	2	4	no	—
214	C₂×D₄×C₁₃	—	2	2	no	—
215	C₂×D₄×C₁₃	—	2	2	no	—
216	C₂×D₄×C₁₃	—	2	4	no	—
217	C₂×D₄×C₁₃	—	2	4	no	—
218	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
219	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
220	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
221	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
222	C₂²×C₄×C₁₃	—	2	4	no	—
223	C₂²×C₄×C₁₃	—	2	2	no	—
224	C₂²×C₄×C₁₃	—	2	2	no	—
225	C₂²×C₄×C₁₃	—	2	4	no	—
226	C₂²×C₄×C₁₃	—	2	2	no	—
227	C₂²×C₄×C₁₃	—	2	4	no	—
228	C₂²×C₄×C₁₃	—	2	4	no	—
229	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
230	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
231	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
232	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
233	C₁₃×Q₁₆	#41	1	4	yes	complemented
234	C₁₃×SD₁₆	—	2	4	no	—
235	C₁₃×SD₁₆	—	2	8	no	—
236	C₁₃×D₈	—	2	2	no	—
237	C₁₃×D₈	—	2	4	no	—
238	C₁₃×D₈	—	4	2	no	—
239	C₁₃×D₈	—	4	4	no	—
240	C₁₃×M₁₆	—	4	2	no	—
241	C₂×C₈×C₁₃	—	2	2	no	—
242	C₂×C₈×C₁₃	—	2	4	no	—
243	C₂×C₈×C₁₃	—	4	1	no	—
244	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
245	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
246	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
247	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
248	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
249	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
250	C₁₃×C₄⋊C₄	—	2	2	no	—
251	C₁₃×C₄⋊C₄	—	2	4	no	—
252	C₁₃×C₄⋊C₄	—	2	4	no	—
253	C₁₃×C₄⋊C₄	—	2	2	no	—
254	C₁₃×C₄⋊C₄	—	2	2	no	—
255	C₁₃×C₄⋊C₄	—	2	4	no	—
256	C₁₃×C₄⋊C₄	—	2	4	no	—
257	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
258	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
259	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
260	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
261	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
262	C₁₃×C₄⋊C₄	C₂×D₄	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	4	yes	—
266	C₁₃×C₂²⋊C₄	—	2	2	no	—
267	C₁₃×C₂²⋊C₄	—	2	4	no	—
268	C₁₃×C₂²⋊C₄	—	2	2	no	—
269	C₁₃×C₂²⋊C₄	—	2	2	no	—
270	C₁₃×C₂²⋊C₄	—	2	4	no	—
271	C₁₃×C₂²⋊C₄	—	2	4	no	—
272	C₁₃×C₂²⋊C₄	—	2	4	no	—
273	C₁₃×C₂²⋊C₄	—	2	4	no	—
274	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
275	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
276	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
277	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
278	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
279	C₄²×C₁₃	—	2	2	no	—
280	C₄²×C₁₃	—	2	2	no	—
281	C₄²×C₁₃	—	2	2	no	—
282	C₄²×C₁₃	—	2	4	no	—
283	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
284	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
285	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
286	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
287	C₄²×C₁₃	C₂⁴	1	2	yes	—
288	#3517	C₂×C₁₃	1	2	yes	complemented
289	#3391	C₂×C₁₃	1	1	yes	characteristic, complemented
290	#3383	C₂×C₁₃	1	1	yes	characteristic, complemented
291	#3368	C₂×C₁₃	1	2	yes	complemented
292	#3339	C₂×C₁₃	1	2	yes	complemented
293	#3334	C₂×C₁₃	1	1	yes	characteristic, complemented
294	#3332	C₂×C₁₃	1	2	yes	complemented
295	#3309	C₂×C₁₃	1	4	yes	complemented
296	#3287	C₂×C₁₃	1	1	yes	characteristic, complemented
297	#3287	C₂×C₁₃	1	2	yes	complemented
298	#3176	C₂×C₁₃	1	2	yes	complemented
299	#3169	C₂×C₁₃	1	1	yes	characteristic, complemented
300	#3119	C₂×C₁₃	1	4	yes	complemented
301	#3115	C₂×C₁₃	1	2	yes	complemented
302	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
303	#2951	C₂×C₁₃	1	2	yes	complemented
304	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
305	C₂³×C₁₃	—	2	2	no	—
306	C₂³×C₁₃	—	2	4	no	—
307	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
308	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
309	Q₈×C₁₃	—	2	2	no	—
310	Q₈×C₁₃	—	2	2	no	—
311	Q₈×C₁₃	—	4	4	no	—
312	Q₈×C₁₃	C₂×#41	1	4	yes	—
313	D₄×C₁₃	—	2	2	no	—
314	D₄×C₁₃	—	2	2	no	—
315	D₄×C₁₃	—	2	4	no	—
316	D₄×C₁₃	—	2	4	no	—
317	D₄×C₁₃	—	2	2	no	—
318	D₄×C₁₃	—	4	2	no	—
319	D₄×C₁₃	—	4	4	no	—
320	D₄×C₁₃	—	4	8	no	—
321	D₄×C₁₃	—	4	4	no	—
322	D₄×C₁₃	—	8	2	no	—
323	D₄×C₁₃	—	8	4	no	—
324	D₄×C₁₃	—	8	4	no	—
325	D₄×C₁₃	—	8	4	no	—
326	D₄×C₁₃	—	8	4	no	—
327	D₄×C₁₃	—	8	4	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	2	no	—
332	C₂×C₄×C₁₃	—	2	1	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	4	no	—
337	C₂×C₄×C₁₃	—	4	1	no	—
338	C₂×C₄×C₁₃	—	4	4	no	—
339	C₂×C₄×C₁₃	—	4	8	no	—
340	C₂×C₄×C₁₃	—	4	4	no	—
341	C₂×C₄×C₁₃	—	8	2	no	—
342	C₂×C₄×C₁₃	—	8	4	no	—
343	C₂×C₄×C₁₃	—	8	4	no	—
344	C₂×C₄×C₁₃	—	8	4	no	—
345	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
346	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
347	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
348	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
349	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
350	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
351	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
352	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
353	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
354	C₈×C₁₃	—	2	1	no	—
355	C₈×C₁₃	—	2	2	no	—
356	C₈×C₁₃	—	2	1	no	—
357	C₈×C₁₃	—	2	1	no	—
358	C₈×C₁₃	—	2	2	no	—
359	C₈×C₁₃	C₂×#41	1	2	yes	—
360	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
361	C₂×#135	C₂²×C₁₃	1	2	yes	—
362	#557	C₂²×C₁₃	1	2	yes	—
363	#553	—	2	4	no	—
364	#553	C₂²×C₁₃	1	4	yes	—
365	#550	—	2	2	no	—
366	#550	C₂²×C₁₃	1	2	yes	—
367	#550	C₂²×C₁₃	1	4	yes	—
368	#550	C₂²×C₁₃	1	2	yes	—
369	#547	—	2	2	no	—
370	#547	C₂²×C₁₃	1	2	yes	—
371	#540	—	2	4	no	—
372	#540	C₂²×C₁₃	1	4	yes	—
373	#532	—	2	2	no	—
374	#532	C₂²×C₁₃	1	2	yes	—
375	#529	—	2	2	no	—
376	#529	C₂²×C₁₃	1	1	yes	characteristic
377	#520	C₂²×C₁₃	1	4	yes	—
378	C₄×#41	C₂²×C₁₃	1	2	yes	—
379	#500	C₂²×C₁₃	1	1	yes	characteristic
380	#499	C₂²×C₁₃	1	2	yes	—
381	#493	C₂²×C₁₃	1	1	yes	characteristic
382	#493	C₂²×C₁₃	1	2	yes	—
383	#490	C₂²×C₁₃	1	4	yes	—
384	#486	C₂²×C₁₃	1	2	yes	—
385	#482	C₂²×C₁₃	1	4	yes	—
386	#481	C₂²×C₁₃	1	4	yes	—
387	#480	C₂²×C₁₃	1	4	yes	—
388	#479	C₂²×C₁₃	1	4	yes	—
389	#478	C₂²×C₁₃	1	4	yes	—
390	#475	C₂²×C₁₃	1	2	yes	—
391	#474	C₂²×C₁₃	1	2	yes	—
392	#469	C₂²×C₁₃	1	4	yes	—
393	#466	C₂²×C₁₃	1	2	yes	—
394	#466	C₂²×C₁₃	1	2	yes	—
395	#466	C₂²×C₁₃	1	2	yes	—
396	#466	C₂²×C₁₃	1	2	yes	—
397	#460	C₂²×C₁₃	1	2	yes	—
398	#460	C₂²×C₁₃	1	4	yes	—
399	#459	C₂²×C₁₃	1	2	yes	—
400	#459	C₂²×C₁₃	1	4	yes	—
401	#449	C₂²×C₁₃	1	4	yes	—
402	#449	C₂²×C₁₃	1	4	yes	—
403	#449	C₂²×C₁₃	1	4	yes	—
404	#446	C₂²×C₁₃	1	1	yes	characteristic
405	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
406	#442	C₂²×C₁₃	1	4	yes	—
407	#440	C₂²×C₁₃	1	4	yes	—
408	#440	C₂²×C₁₃	1	4	yes	—
409	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
410	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
411	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
412	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
413	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
414	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
415	C₄×D₈	C₂²×C₁₃	1	2	yes	—
416	C₄×D₈	C₂²×C₁₃	1	2	yes	—
417	C₄×D₈	C₂²×C₁₃	1	2	yes	—
418	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
419	#436	C₂²×C₁₃	1	1	yes	characteristic
420	#435	C₂²×C₁₃	1	2	yes	—
421	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
422	C₈×D₄	C₂²×C₁₃	1	2	yes	—
423	#433	C₂²×C₁₃	1	2	yes	—
424	#432	C₂²×C₁₃	1	1	yes	characteristic
425	#427	C₂²×C₁₃	1	1	yes	characteristic
426	C₂×#107	C₂²×C₁₃	1	2	yes	—
427	#417	C₂²×C₁₃	1	4	yes	—
428	#416	C₂²×C₁₃	1	2	yes	—
429	#405	C₂²×C₁₃	1	2	yes	—
430	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
431	C₂²×C₁₃	—	2	1	no	—
432	C₂²×C₁₃	—	2	2	no	—
433	C₂²×C₁₃	—	2	1	no	—
434	C₂²×C₁₃	—	2	2	no	—
435	C₂²×C₁₃	—	2	1	no	—
436	C₂²×C₁₃	—	2	2	no	—
437	C₂²×C₁₃	—	4	2	no	—
438	C₂²×C₁₃	—	4	4	no	—
439	C₂²×C₁₃	—	4	2	no	—
440	C₂²×C₁₃	—	4	4	no	—
441	C₂²×C₁₃	—	4	2	no	—
442	C₂²×C₁₃	—	4	4	no	—
443	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
444	C₄×C₁₃	—	2	1	no	—
445	C₄×C₁₃	—	2	1	no	—
446	C₄×C₁₃	—	2	2	no	—
447	C₄×C₁₃	—	2	1	no	—
448	C₄×C₁₃	—	2	2	no	—
449	C₄×C₁₃	—	2	4	no	—
450	C₄×C₁₃	—	2	1	no	—
451	C₄×C₁₃	—	2	2	no	—
452	C₄×C₁₃	—	4	2	no	—
453	C₄×C₁₃	—	4	2	no	—
454	C₄×C₁₃	—	4	4	no	—
455	C₄×C₁₃	#576	1	2	yes	—
456	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
457	C₄×C₁₃	#585	1	1	yes	characteristic
458	C₂×#41	—	2	2	no	—
459	C₂×#41	—	2	2	no	—
460	C₂×#41	—	2	2	no	—
461	C₂×#41	C₂³×C₁₃	1	2	yes	—
462	C₂×#41	C₂³×C₁₃	1	4	yes	—
463	#135	—	2	4	no	—
464	#135	—	2	8	no	—
465	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
466	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
467	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
468	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
469	C₂×D₈	C₂³×C₁₃	1	2	yes	—
470	C₂×D₈	C₂³×C₁₃	1	2	yes	—
471	C₂×D₈	C₂³×C₁₃	1	4	yes	—
472	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
473	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
474	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
475	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
476	C₄⋊Q₈	—	2	2	no	—
477	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
478	#127	—	2	2	no	—
479	#127	—	2	4	no	—
480	#127	C₂³×C₁₃	1	2	yes	—
481	#127	C₂³×C₁₃	1	4	yes	—
482	#126	—	2	4	no	—
483	#126	D₄×C₁₃	1	2	yes	—
484	#125	—	2	4	no	—
485	#125	D₄×C₁₃	1	1	yes	characteristic
486	#125	C₂³×C₁₃	1	4	yes	—
487	#124	—	2	2	no	—
488	#124	D₄×C₁₃	1	1	yes	characteristic
489	#123	—	2	4	no	—
490	#123	—	2	4	no	—
491	#123	—	2	4	no	—
492	#123	—	2	4	no	—
493	#123	D₄×C₁₃	1	2	yes	—
494	C₂²⋊Q₈	—	2	2	no	—
495	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
496	#121	—	2	4	no	—
497	#121	—	2	2	no	—
498	#121	—	2	2	no	—
499	#121	—	2	4	no	—
500	#121	—	2	4	no	—
501	#121	—	2	4	no	—
502	#121	—	2	4	no	—
503	#121	—	2	4	no	—
504	#121	—	2	4	no	—
505	#121	D₄×C₁₃	1	1	yes	characteristic
506	#121	C₂³×C₁₃	1	4	yes	—
507	#121	C₂³×C₁₃	1	4	yes	—
508	#121	C₂³×C₁₃	1	4	yes	—
509	C₄×Q₈	—	2	2	no	—
510	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
511	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
512	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
513	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
514	C₄×D₄	—	2	2	no	—
515	C₄×D₄	—	2	2	no	—
516	C₄×D₄	—	2	2	no	—
517	C₄×D₄	—	2	4	no	—
518	C₄×D₄	—	2	4	no	—
519	C₄×D₄	—	2	4	no	—
520	C₄×D₄	—	2	4	no	—
521	C₄×D₄	—	2	2	no	—
522	C₄×D₄	C₂³×C₁₃	1	2	yes	—
523	C₄×D₄	C₂³×C₁₃	1	2	yes	—
524	C₄×D₄	C₂³×C₁₃	1	4	yes	—
525	C₄×D₄	C₂³×C₁₃	1	4	yes	—
526	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
527	C₄×D₄	C₂³×C₁₃	1	2	yes	—
528	#117	—	2	4	no	—
529	#117	—	2	2	no	—
530	#117	C₂³×C₁₃	1	2	yes	—
531	#117	C₂³×C₁₃	1	2	yes	—
532	C₂×C₄⋊C₄	—	2	4	no	—
533	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
534	C₂×C₄²	—	2	2	no	—
535	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
536	#107	C₂³×C₁₃	1	1	yes	characteristic
537	#107	C₂³×C₁₃	1	2	yes	—
538	#107	C₂³×C₁₃	1	4	yes	—
539	#107	C₂³×C₁₃	1	1	yes	characteristic
540	#107	C₂³×C₁₃	1	2	yes	—
541	#106	C₂³×C₁₃	1	2	yes	—
542	#106	C₂³×C₁₃	1	4	yes	—
543	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
544	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
545	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
546	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
547	#103	C₂³×C₁₃	1	2	yes	—
548	#103	C₂³×C₁₃	1	2	yes	—
549	#103	C₂³×C₁₃	1	4	yes	—
550	#102	C₂³×C₁₃	1	2	yes	—
551	#102	C₂³×C₁₃	1	2	yes	—
552	#102	C₂³×C₁₃	1	4	yes	—
553	#102	C₂³×C₁₃	1	4	yes	—
554	#102	C₂³×C₁₃	1	4	yes	—
555	#102	C₂³×C₁₃	1	4	yes	—
556	#102	C₂³×C₁₃	1	4	yes	—
557	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
558	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
559	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
560	#97	C₂³×C₁₃	1	2	yes	—
561	#97	C₂³×C₁₃	1	2	yes	—
562	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
563	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
564	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
565	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
566	C₄×C₈	C₂³×C₁₃	1	2	yes	—
567	C₂×C₁₃	—	4	1	no	—
568	C₂×C₁₃	—	4	2	no	—
569	C₂×C₁₃	—	8	2	no	—
570	C₂×C₁₃	—	8	4	no	—
571	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
572	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
573	C₂×C₁₃	#3584	1	1	yes	characteristic
574	#41	—	2	4	no	—
575	#41	—	2	8	no	—
576	#41	—	4	2	no	—
577	#41	—	4	4	no	—
578	#41	—	8	4	no	—
579	#41	—	8	4	no	—
580	#41	—	8	4	no	—
581	C₂×Q₈	—	2	2	no	—
582	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
583	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
584	C₂×D₄	—	2	2	no	—
585	C₂×D₄	—	2	4	no	—
586	C₂×D₄	—	2	4	no	—
587	C₂×D₄	—	2	4	no	—
588	C₂×D₄	—	2	4	no	—
589	C₂×D₄	—	2	2	no	—
590	C₂×D₄	—	2	2	no	—
591	C₂×D₄	—	2	4	no	—
592	C₂×D₄	—	2	4	no	—
593	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
594	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
595	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
596	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
597	C₂²×C₄	—	2	4	no	—
598	C₂²×C₄	—	2	2	no	—
599	C₂²×C₄	—	2	2	no	—
600	C₂²×C₄	—	2	4	no	—
601	C₂²×C₄	—	2	2	no	—
602	C₂²×C₄	—	2	4	no	—
603	C₂²×C₄	—	2	4	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	1	yes	characteristic
607	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
608	Q₁₆	C₁₃×#41	1	4	yes	complemented
609	SD₁₆	—	2	4	no	—
610	SD₁₆	—	2	8	no	—
611	D₈	—	2	2	no	—
612	D₈	—	2	4	no	—
613	D₈	—	4	2	no	—
614	D₈	—	4	4	no	—
615	M₁₆	—	4	2	no	—
616	C₂×C₈	—	2	2	no	—
617	C₂×C₈	—	2	4	no	—
618	C₂×C₈	—	4	1	no	—
619	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
620	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
621	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
622	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
623	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
624	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
625	C₄⋊C₄	—	2	2	no	—
626	C₄⋊C₄	—	2	4	no	—
627	C₄⋊C₄	—	2	4	no	—
628	C₄⋊C₄	—	2	2	no	—
629	C₄⋊C₄	—	2	2	no	—
630	C₄⋊C₄	—	2	4	no	—
631	C₄⋊C₄	—	2	4	no	—
632	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
633	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
634	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
635	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
636	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
637	C₄⋊C₄	C₂×D₄×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	4	yes	—
641	C₂²⋊C₄	—	2	2	no	—
642	C₂²⋊C₄	—	2	4	no	—
643	C₂²⋊C₄	—	2	2	no	—
644	C₂²⋊C₄	—	2	2	no	—
645	C₂²⋊C₄	—	2	4	no	—
646	C₂²⋊C₄	—	2	4	no	—
647	C₂²⋊C₄	—	2	4	no	—
648	C₂²⋊C₄	—	2	4	no	—
649	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
650	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
651	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
652	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
653	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
654	C₄²	—	2	2	no	—
655	C₄²	—	2	2	no	—
656	C₄²	—	2	2	no	—
657	C₄²	—	2	4	no	—
658	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
659	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
660	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
661	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
662	C₄²	C₂⁴×C₁₃	1	2	yes	—
663	C₁₃	#61479	1	1	yes	characteristic, direct product factor, Sylow
664	C₂³	—	2	2	no	—
665	C₂³	—	2	4	no	—
666	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
667	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
668	Q₈	—	2	2	no	—
669	Q₈	—	2	2	no	—
670	Q₈	—	4	4	no	—
671	Q₈	C₂×C₁₃×#41	1	4	yes	—
672	D₄	—	2	2	no	—
673	D₄	—	2	2	no	—
674	D₄	—	2	4	no	—
675	D₄	—	2	4	no	—
676	D₄	—	2	2	no	—
677	D₄	—	4	2	no	—
678	D₄	—	4	4	no	—
679	D₄	—	4	8	no	—
680	D₄	—	4	4	no	—
681	D₄	—	8	2	no	—
682	D₄	—	8	4	no	—
683	D₄	—	8	4	no	—
684	D₄	—	8	4	no	—
685	D₄	—	8	4	no	—
686	D₄	—	8	4	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	1	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	4	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	4	no	—
698	C₂×C₄	—	4	8	no	—
699	C₂×C₄	—	4	4	no	—
700	C₂×C₄	—	8	2	no	—
701	C₂×C₄	—	8	4	no	—
702	C₂×C₄	—	8	4	no	—
703	C₂×C₄	—	8	4	no	—
704	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
705	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
706	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
707	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
708	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
709	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
710	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
711	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
712	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
713	C₈	—	2	1	no	—
714	C₈	—	2	2	no	—
715	C₈	—	2	1	no	—
716	C₈	—	2	1	no	—
717	C₈	—	2	2	no	—
718	C₈	C₂×C₁₃×#41	1	2	yes	—
719	C₂²	—	2	1	no	—
720	C₂²	—	2	2	no	—
721	C₂²	—	2	1	no	—
722	C₂²	—	2	2	no	—
723	C₂²	—	2	1	no	—
724	C₂²	—	2	2	no	—
725	C₂²	—	4	2	no	—
726	C₂²	—	4	4	no	—
727	C₂²	—	4	2	no	—
728	C₂²	—	4	4	no	—
729	C₂²	—	4	2	no	—
730	C₂²	—	4	4	no	—
731	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
732	C₄	—	2	1	no	—
733	C₄	—	2	2	no	—
734	C₄	—	2	1	no	—
735	C₄	—	2	1	no	—
736	C₄	—	2	2	no	—
737	C₄	—	2	1	no	—
738	C₄	—	2	2	no	—
739	C₄	—	2	4	no	—
740	C₄	—	4	2	no	—
741	C₄	—	4	4	no	—
742	C₄	—	4	2	no	—
743	C₄	C₁₃×#576	1	2	yes	—
744	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
745	C₄	C₁₃×#585	1	1	yes	characteristic
746	C₂	—	4	1	no	—
747	C₂	—	4	2	no	—
748	C₂	—	8	2	no	—
749	C₂	—	8	4	no	—
750	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
751	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
752	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3517	C₂	semidirect
2. C₁₃×#3391	C₂	semidirect
3. C₁₃×#3383	C₂	semidirect
4. C₁₃×#3368	C₂	semidirect
5. C₁₃×#3339	C₂	semidirect
6. C₁₃×#3334	C₂	semidirect
7. C₁₃×#3332	C₂	semidirect
8. C₁₃×#3309	C₂	semidirect
9. C₁₃×#3287	C₂	semidirect
10. C₁₃×#3287	C₂	semidirect
11. C₁₃×#3176	C₂	semidirect
12. C₁₃×#3169	C₂	semidirect
13. C₁₃×#3119	C₂	semidirect
14. C₁₃×#3115	C₂	semidirect
15. C₁₃×#2966	C₂	semidirect
16. C₁₃×#2951	C₂	semidirect
17. C₄×C₁₃×#135	C₂	semidirect
198. #61479	C₁₃	direct (N × H)
233. C₁₃×Q₁₆	#41	semidirect
288. #3517	C₂×C₁₃	semidirect
289. #3391	C₂×C₁₃	semidirect
290. #3383	C₂×C₁₃	semidirect
291. #3368	C₂×C₁₃	semidirect
292. #3339	C₂×C₁₃	semidirect
293. #3334	C₂×C₁₃	semidirect
294. #3332	C₂×C₁₃	semidirect
295. #3309	C₂×C₁₃	semidirect
296. #3287	C₂×C₁₃	semidirect
297. #3287	C₂×C₁₃	semidirect
298. #3176	C₂×C₁₃	semidirect
299. #3169	C₂×C₁₃	semidirect
300. #3119	C₂×C₁₃	semidirect
301. #3115	C₂×C₁₃	semidirect
302. #2966	C₂×C₁₃	semidirect
303. #2951	C₂×C₁₃	semidirect
304. C₄×#135	C₂×C₁₃	semidirect
608. Q₁₆	C₁₃×#41	semidirect
663. C₁₃	#61479	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×#3517	2
C₁₃×#3391	2
C₁₃×#3383	2
C₁₃×#3368	2
C₁₃×#3339	2
C₁₃×#3334	2
C₁₃×#3332	2
C₁₃×#3309	2
C₁₃×#3287	2
C₁₃×#3176	2
C₁₃×#3169	2
C₁₃×#3119	2
C₁₃×#3115	2
C₁₃×#2966	2
C₁₃×#2951	2
C₄×C₁₃×#135	2
#61479	13

Subgroups — C13×#61479 #15747818

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61479 #15747818