Subgroups — C₁₃×#61683 #15748022

Order 3328.

2012 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3550	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3497	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3328	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3313	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3304	C₂	1	2	yes	maximal, complemented
6	D₄×C₁₃×Q₁₆	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3278	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3270	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3201	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3113	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3011	C₂	1	4	yes	maximal, complemented
15	C₁₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	—
17	C₂×C₁₃×#137	C₂²	1	4	yes	—
18	C₂²×C₁₃×Q₁₆	C₂²	1	4	yes	—
19	C₁₃×#563	—	2	2	no	—
20	C₁₃×#559	—	2	1	no	—
21	Q₈²×C₁₃	—	2	1	no	—
22	C₁₃×#556	C₂²	1	2	yes	—
23	C₁₃×#556	C₂²	1	2	yes	—
24	C₁₃×#550	—	2	1	no	—
25	C₁₃×#550	C₂²	1	2	yes	—
26	D₄×Q₈×C₁₃	—	2	1	no	—
27	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
28	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
29	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
30	C₁₃×#548	—	2	2	no	—
31	C₁₃×#548	C₂²	1	4	yes	—
32	C₁₃×#542	—	2	2	no	—
33	C₁₃×#542	—	2	2	no	—
34	C₁₃×#537	—	2	2	no	—
35	C₁₃×#537	C₂²	1	2	yes	—
36	C₁₃×#536	C₂²	1	4	yes	—
37	C₁₃×#533	C₂²	1	1	yes	characteristic
38	C₁₃×#533	C₂²	1	1	yes	characteristic
39	C₁₃×#532	—	2	2	no	—
40	C₁₃×#532	C₂²	1	1	yes	characteristic
41	C₁₃×#532	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
43	C₁₃×#497	C₂²	1	2	yes	—
44	C₁₃×#494	C₂²	1	1	yes	characteristic
45	C₁₃×#492	C₂²	1	1	yes	characteristic
46	C₁₃×#489	C₂²	1	2	yes	—
47	C₁₃×#487	C₂²	1	1	yes	characteristic
48	C₁₃×#486	C₂²	1	1	yes	characteristic
49	C₁₃×#485	C₂²	1	4	yes	—
50	C₁₃×#484	C₂²	1	2	yes	—
51	C₁₃×#483	C₂²	1	2	yes	—
52	C₁₃×#482	C₂²	1	4	yes	—
53	C₁₃×#477	C₂²	1	2	yes	—
54	C₁₃×#475	C₂²	1	2	yes	—
55	C₁₃×#470	C₂²	1	4	yes	—
56	C₁₃×#468	C₂²	1	4	yes	—
57	C₁₃×#467	C₂²	1	4	yes	—
58	C₁₃×#465	C₂²	1	4	yes	—
59	C₁₃×#464	C₂²	1	4	yes	—
60	C₁₃×#462	C₂²	1	2	yes	—
61	C₁₃×#462	C₂²	1	2	yes	—
62	C₁₃×#462	C₂²	1	2	yes	—
63	C₁₃×#460	C₂²	1	2	yes	—
64	C₁₃×#452	C₂²	1	4	yes	—
65	C₁₃×#452	C₂²	1	4	yes	—
66	C₁₃×#452	C₂²	1	4	yes	—
67	C₁₃×#452	C₂²	1	4	yes	—
68	C₁₃×#451	C₂²	1	2	yes	—
69	C₁₃×#451	C₂²	1	2	yes	—
70	C₁₃×#451	C₂²	1	4	yes	—
71	C₁₃×#451	C₂²	1	4	yes	—
72	C₁₃×#451	C₂²	1	4	yes	—
73	C₁₃×#448	C₂²	1	4	yes	—
74	C₁₃×#441	C₂²	1	4	yes	—
75	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
76	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
77	C₁₃×#436	C₂²	1	2	yes	—
78	C₁₃×#435	C₂²	1	4	yes	—
79	C₈×D₄×C₁₃	C₂²	1	2	yes	—
80	C₁₃×#432	C₂²	1	1	yes	characteristic
81	C₁₃×#431	C₂²	1	1	yes	characteristic
82	C₁₃×#419	C₂²	1	4	yes	—
83	C₁₃×#416	C₂²	1	4	yes	—
84	C₁₃×#408	C₂²	1	4	yes	—
85	C₁₃×2₋¹⁺⁴	—	4	8	no	—
86	C₂×C₁₃×#41	—	2	4	no	—
87	C₂×C₁₃×#41	—	2	2	no	—
88	C₂×C₁₃×#41	C₂³	1	4	yes	—
89	C₂×C₁₃×#41	C₂³	1	2	yes	—
90	C₂×C₁₃×#41	C₂³	1	2	yes	—
91	C₂²×Q₈×C₁₃	—	2	2	no	—
92	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
93	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
94	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
95	C₁₃×#137	—	4	8	no	—
96	C₂×C₁₃×Q₁₆	—	4	8	no	—
97	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
98	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
99	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
100	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
101	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
102	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
103	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
104	C₂×C₁₃×M₁₆	C₂³	1	4	yes	—
105	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
106	C₁₃×C₄⋊Q₈	—	2	4	no	—
107	C₁₃×C₄⋊Q₈	—	2	2	no	—
108	C₁₃×C₄⋊Q₈	—	2	2	no	—
109	C₁₃×C₄⋊Q₈	—	2	2	no	—
110	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
111	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
112	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
113	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
114	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
115	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
116	C₁₃×#127	—	2	2	no	—
117	C₁₃×#127	D₄	1	1	yes	characteristic
118	C₁₃×#127	C₂³	1	1	yes	characteristic
119	C₁₃×#126	—	2	4	no	—
120	C₁₃×#126	—	2	4	no	—
121	C₁₃×#125	—	2	1	no	—
122	C₁₃×#125	—	2	1	no	—
123	C₁₃×#124	—	2	4	no	—
124	C₁₃×#124	—	2	2	no	—
125	C₁₃×#124	—	2	2	no	—
126	C₁₃×#124	—	2	4	no	—
127	C₁₃×#124	D₄	1	2	yes	—
128	C₁₃×#124	C₂³	1	2	yes	—
129	C₁₃×#123	—	2	4	no	—
130	C₁₃×#123	—	2	4	no	—
131	C₁₃×C₂²⋊Q₈	—	2	2	no	—
132	C₁₃×C₂²⋊Q₈	—	2	1	no	—
133	C₁₃×C₂²⋊Q₈	—	2	1	no	—
134	C₁₃×C₂²⋊Q₈	—	2	4	no	—
135	C₁₃×C₂²⋊Q₈	—	2	4	no	—
136	C₁₃×C₂²⋊Q₈	—	2	4	no	—
137	C₁₃×C₂²⋊Q₈	—	2	4	no	—
138	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
139	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
140	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
141	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
142	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
143	C₁₃×#121	—	2	4	no	—
144	C₁₃×#121	—	2	4	no	—
145	C₁₃×#121	—	2	2	no	—
146	C₁₃×#121	—	2	1	no	—
147	C₁₃×#121	—	2	1	no	—
148	C₁₃×#121	—	2	4	no	—
149	C₁₃×#121	D₄	1	2	yes	—
150	C₁₃×#121	D₄	1	2	yes	—
151	C₁₃×#121	C₂³	1	4	yes	—
152	C₄×Q₈×C₁₃	—	2	2	no	—
153	C₄×Q₈×C₁₃	—	2	2	no	—
154	C₄×Q₈×C₁₃	—	2	1	no	—
155	C₄×Q₈×C₁₃	—	2	1	no	—
156	C₄×Q₈×C₁₃	—	2	1	no	—
157	C₄×Q₈×C₁₃	—	2	1	no	—
158	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
159	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
160	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
161	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
162	C₄×D₄×C₁₃	—	2	2	no	—
163	C₄×D₄×C₁₃	—	2	2	no	—
164	C₄×D₄×C₁₃	—	2	2	no	—
165	C₄×D₄×C₁₃	—	2	2	no	—
166	C₄×D₄×C₁₃	—	2	4	no	—
167	C₄×D₄×C₁₃	—	2	1	no	—
168	C₄×D₄×C₁₃	—	2	1	no	—
169	C₄×D₄×C₁₃	C₂³	1	2	yes	—
170	C₄×D₄×C₁₃	C₂³	1	2	yes	—
171	C₁₃×#117	—	2	1	no	—
172	C₁₃×#117	—	2	1	no	—
173	C₁₃×#117	C₂³	1	4	yes	—
174	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
175	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₄²×C₁₃	—	2	1	no	—
177	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
178	C₁₃×#107	C₂³	1	2	yes	—
179	C₁₃×#107	C₂³	1	2	yes	—
180	C₁₃×#106	C₂³	1	4	yes	—
181	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
182	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
183	C₁₃×#103	C₂³	1	2	yes	—
184	C₁₃×#103	C₂³	1	4	yes	—
185	C₁₃×#103	C₂³	1	2	yes	—
186	C₁₃×#103	C₂³	1	4	yes	—
187	C₁₃×#103	C₂³	1	4	yes	—
188	C₁₃×#103	C₂³	1	2	yes	—
189	C₁₃×#103	C₂³	1	2	yes	—
190	C₁₃×#103	C₂³	1	4	yes	—
191	C₁₃×#102	C₂³	1	4	yes	—
192	C₁₃×#102	C₂³	1	4	yes	—
193	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
194	C₁₃×C₂²⋊C₈	C₂³	1	2	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	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
199	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
200	#61683	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
201	C₁₃×#41	—	2	8	no	—
202	C₁₃×#41	—	4	4	no	—
203	C₁₃×#41	—	4	4	no	—
204	C₁₃×#41	—	4	4	no	—
205	C₁₃×#41	—	4	16	no	—
206	C₁₃×#41	—	4	8	no	—
207	C₂×Q₈×C₁₃	—	2	4	no	—
208	C₂×Q₈×C₁₃	—	2	1	no	—
209	C₂×Q₈×C₁₃	—	2	1	no	—
210	C₂×Q₈×C₁₃	—	2	1	no	—
211	C₂×Q₈×C₁₃	—	2	4	no	—
212	C₂×Q₈×C₁₃	—	2	4	no	—
213	C₂×Q₈×C₁₃	—	2	8	no	—
214	C₂×Q₈×C₁₃	—	4	4	no	—
215	C₂×Q₈×C₁₃	—	4	4	no	—
216	C₂×Q₈×C₁₃	—	4	4	no	—
217	C₂×Q₈×C₁₃	—	4	8	no	—
218	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
219	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
220	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
221	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
222	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
223	C₂×D₄×C₁₃	—	2	2	no	—
224	C₂×D₄×C₁₃	—	2	4	no	—
225	C₂×D₄×C₁₃	—	2	4	no	—
226	C₂×D₄×C₁₃	—	2	1	no	—
227	C₂×D₄×C₁₃	—	2	1	no	—
228	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
229	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
230	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
231	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
232	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
233	C₂²×C₄×C₁₃	—	2	1	no	—
234	C₂²×C₄×C₁₃	—	2	4	no	—
235	C₂²×C₄×C₁₃	—	2	1	no	—
236	C₂²×C₄×C₁₃	—	2	4	no	—
237	C₂²×C₄×C₁₃	—	2	4	no	—
238	C₂²×C₄×C₁₃	—	2	2	no	—
239	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
240	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
241	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
242	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
243	C₁₃×Q₁₆	—	2	4	no	—
244	C₁₃×Q₁₆	—	2	8	no	—
245	C₁₃×Q₁₆	—	2	4	no	—
246	C₁₃×Q₁₆	—	4	4	no	—
247	C₁₃×Q₁₆	—	4	4	no	—
248	C₁₃×SD₁₆	—	4	4	no	—
249	C₁₃×SD₁₆	—	4	4	no	—
250	C₁₃×M₁₆	—	4	4	no	—
251	C₂×C₈×C₁₃	—	4	4	no	—
252	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
253	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
254	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
255	C₁₃×C₄⋊C₄	—	2	2	no	—
256	C₁₃×C₄⋊C₄	—	2	2	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	4	no	—
267	C₁₃×C₄⋊C₄	—	2	4	no	—
268	C₁₃×C₄⋊C₄	—	2	4	no	—
269	C₁₃×C₄⋊C₄	—	2	2	no	—
270	C₁₃×C₄⋊C₄	—	2	2	no	—
271	C₁₃×C₄⋊C₄	—	2	2	no	—
272	C₁₃×C₄⋊C₄	—	2	2	no	—
273	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
274	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
275	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
276	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
277	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
278	C₁₃×C₂²⋊C₄	—	2	2	no	—
279	C₁₃×C₂²⋊C₄	—	2	2	no	—
280	C₁₃×C₂²⋊C₄	—	2	4	no	—
281	C₁₃×C₂²⋊C₄	—	2	4	no	—
282	C₁₃×C₂²⋊C₄	—	2	4	no	—
283	C₁₃×C₂²⋊C₄	—	2	4	no	—
284	C₁₃×C₂²⋊C₄	—	2	2	no	—
285	C₁₃×C₂²⋊C₄	—	2	2	no	—
286	C₁₃×C₂²⋊C₄	—	2	4	no	—
287	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
288	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
289	C₄²×C₁₃	—	2	2	no	—
290	C₄²×C₁₃	—	2	2	no	—
291	C₄²×C₁₃	—	2	2	no	—
292	C₄²×C₁₃	—	2	2	no	—
293	C₄²×C₁₃	—	2	4	no	—
294	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
295	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
296	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
297	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
298	#3550	C₂×C₁₃	1	1	yes	characteristic, complemented
299	#3497	C₂×C₁₃	1	1	yes	characteristic
300	#3328	C₂×C₁₃	1	2	yes	complemented
301	#3313	C₂×C₁₃	1	4	yes	complemented
302	#3304	C₂×C₁₃	1	2	yes	complemented
303	D₄×Q₁₆	C₂×C₁₃	1	2	yes	complemented
304	#3278	C₂×C₁₃	1	2	yes	complemented
305	#3270	C₂×C₁₃	1	4	yes	complemented
306	#3216	C₂×C₁₃	1	1	yes	characteristic, complemented
307	#3210	C₂×C₁₃	1	1	yes	characteristic, complemented
308	#3201	C₂×C₁₃	1	4	yes	complemented
309	#3113	C₂×C₁₃	1	1	yes	characteristic, complemented
310	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
311	#3011	C₂×C₁₃	1	4	yes	complemented
312	#2981	C₂×C₁₃	1	1	yes	characteristic, complemented
313	C₂³×C₁₃	—	2	2	no	—
314	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
315	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
316	Q₈×C₁₃	—	2	4	no	—
317	Q₈×C₁₃	—	2	2	no	—
318	Q₈×C₁₃	—	2	2	no	—
319	Q₈×C₁₃	—	2	4	no	—
320	Q₈×C₁₃	—	2	2	no	—
321	Q₈×C₁₃	—	2	4	no	—
322	Q₈×C₁₃	—	4	2	no	—
323	Q₈×C₁₃	—	4	8	no	—
324	Q₈×C₁₃	—	4	2	no	—
325	Q₈×C₁₃	—	4	2	no	—
326	Q₈×C₁₃	—	8	4	no	—
327	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
328	D₄×C₁₃	—	2	4	no	—
329	D₄×C₁₃	—	2	4	no	—
330	D₄×C₁₃	—	4	2	no	—
331	D₄×C₁₃	—	4	2	no	—
332	D₄×C₁₃	—	4	4	no	—
333	D₄×C₁₃	—	4	8	no	—
334	D₄×C₁₃	—	4	4	no	—
335	D₄×C₁₃	—	4	2	no	—
336	D₄×C₁₃	—	8	1	no	—
337	D₄×C₁₃	—	8	4	no	—
338	C₂×C₄×C₁₃	—	2	4	no	—
339	C₂×C₄×C₁₃	—	2	2	no	—
340	C₂×C₄×C₁₃	—	2	2	no	—
341	C₂×C₄×C₁₃	—	2	4	no	—
342	C₂×C₄×C₁₃	—	2	4	no	—
343	C₂×C₄×C₁₃	—	2	2	no	—
344	C₂×C₄×C₁₃	—	2	2	no	—
345	C₂×C₄×C₁₃	—	2	2	no	—
346	C₂×C₄×C₁₃	—	2	2	no	—
347	C₂×C₄×C₁₃	—	2	2	no	—
348	C₂×C₄×C₁₃	—	2	2	no	—
349	C₂×C₄×C₁₃	—	2	2	no	—
350	C₂×C₄×C₁₃	—	4	1	no	—
351	C₂×C₄×C₁₃	—	4	8	no	—
352	C₂×C₄×C₁₃	—	4	8	no	—
353	C₂×C₄×C₁₃	—	4	4	no	—
354	C₂×C₄×C₁₃	—	8	1	no	—
355	C₂×C₄×C₁₃	—	8	4	no	—
356	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
357	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
358	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
359	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
360	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
361	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
362	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
363	C₈×C₁₃	—	2	2	no	—
364	C₈×C₁₃	—	2	4	no	—
365	C₈×C₁₃	—	2	2	no	—
366	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	—
367	C₂×#137	C₂²×C₁₃	1	4	yes	—
368	C₂²×Q₁₆	C₂²×C₁₃	1	4	yes	—
369	#563	—	2	2	no	—
370	#559	—	2	1	no	—
371	Q₈²	—	2	1	no	—
372	#556	C₂²×C₁₃	1	2	yes	—
373	#556	C₂²×C₁₃	1	2	yes	—
374	#550	—	2	1	no	—
375	#550	C₂²×C₁₃	1	2	yes	—
376	D₄×Q₈	—	2	1	no	—
377	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
378	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
379	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
380	#548	—	2	2	no	—
381	#548	C₂²×C₁₃	1	4	yes	—
382	#542	—	2	2	no	—
383	#542	—	2	2	no	—
384	#537	—	2	2	no	—
385	#537	C₂²×C₁₃	1	2	yes	—
386	#536	C₂²×C₁₃	1	4	yes	—
387	#533	C₂²×C₁₃	1	1	yes	characteristic
388	#533	C₂²×C₁₃	1	1	yes	characteristic
389	#532	—	2	2	no	—
390	#532	C₂²×C₁₃	1	1	yes	characteristic
391	#532	C₂²×C₁₃	1	1	yes	characteristic
392	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
393	#497	C₂²×C₁₃	1	2	yes	—
394	#494	C₂²×C₁₃	1	1	yes	characteristic
395	#492	C₂²×C₁₃	1	1	yes	characteristic
396	#489	C₂²×C₁₃	1	2	yes	—
397	#487	C₂²×C₁₃	1	1	yes	characteristic
398	#486	C₂²×C₁₃	1	1	yes	characteristic
399	#485	C₂²×C₁₃	1	4	yes	—
400	#484	C₂²×C₁₃	1	2	yes	—
401	#483	C₂²×C₁₃	1	2	yes	—
402	#482	C₂²×C₁₃	1	4	yes	—
403	#477	C₂²×C₁₃	1	2	yes	—
404	#475	C₂²×C₁₃	1	2	yes	—
405	#470	C₂²×C₁₃	1	4	yes	—
406	#468	C₂²×C₁₃	1	4	yes	—
407	#467	C₂²×C₁₃	1	4	yes	—
408	#465	C₂²×C₁₃	1	4	yes	—
409	#464	C₂²×C₁₃	1	4	yes	—
410	#462	C₂²×C₁₃	1	2	yes	—
411	#462	C₂²×C₁₃	1	2	yes	—
412	#462	C₂²×C₁₃	1	2	yes	—
413	#460	C₂²×C₁₃	1	2	yes	—
414	#452	C₂²×C₁₃	1	4	yes	—
415	#452	C₂²×C₁₃	1	4	yes	—
416	#452	C₂²×C₁₃	1	4	yes	—
417	#452	C₂²×C₁₃	1	4	yes	—
418	#451	C₂²×C₁₃	1	4	yes	—
419	#451	C₂²×C₁₃	1	2	yes	—
420	#451	C₂²×C₁₃	1	2	yes	—
421	#451	C₂²×C₁₃	1	4	yes	—
422	#451	C₂²×C₁₃	1	4	yes	—
423	#448	C₂²×C₁₃	1	4	yes	—
424	#441	C₂²×C₁₃	1	4	yes	—
425	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
426	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
427	#436	C₂²×C₁₃	1	2	yes	—
428	#435	C₂²×C₁₃	1	4	yes	—
429	C₈×D₄	C₂²×C₁₃	1	2	yes	—
430	#432	C₂²×C₁₃	1	1	yes	characteristic
431	#431	C₂²×C₁₃	1	1	yes	characteristic
432	#419	C₂²×C₁₃	1	4	yes	—
433	#416	C₂²×C₁₃	1	4	yes	—
434	#408	C₂²×C₁₃	1	4	yes	—
435	C₂²×C₁₃	—	2	1	no	—
436	C₂²×C₁₃	—	2	4	no	—
437	C₂²×C₁₃	—	2	1	no	—
438	C₂²×C₁₃	—	2	4	no	—
439	C₂²×C₁₃	—	2	1	no	—
440	C₂²×C₁₃	—	2	4	no	—
441	C₂²×C₁₃	—	4	2	no	—
442	C₂²×C₁₃	—	4	2	no	—
443	C₂²×C₁₃	—	4	2	no	—
444	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
445	C₄×C₁₃	—	2	1	no	—
446	C₄×C₁₃	—	2	1	no	—
447	C₄×C₁₃	—	2	4	no	—
448	C₄×C₁₃	—	2	1	no	—
449	C₄×C₁₃	—	2	4	no	—
450	C₄×C₁₃	—	2	1	no	—
451	C₄×C₁₃	—	4	2	no	—
452	C₄×C₁₃	—	4	2	no	—
453	C₄×C₁₃	—	4	2	no	—
454	C₄×C₁₃	—	4	2	no	—
455	C₄×C₁₃	—	4	2	no	—
456	C₄×C₁₃	—	4	2	no	—
457	C₄×C₁₃	#578	1	2	yes	—
458	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
459	2₋¹⁺⁴	—	4	8	no	—
460	C₂×#41	—	2	4	no	—
461	C₂×#41	—	2	2	no	—
462	C₂×#41	C₂³×C₁₃	1	4	yes	—
463	C₂×#41	C₂³×C₁₃	1	2	yes	—
464	C₂×#41	C₂³×C₁₃	1	2	yes	—
465	C₂²×Q₈	—	2	2	no	—
466	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
467	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
468	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
469	#137	—	4	8	no	—
470	C₂×Q₁₆	—	4	8	no	—
471	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
472	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
473	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
474	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
475	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
476	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
477	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
478	C₂×M₁₆	C₂³×C₁₃	1	4	yes	—
479	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
480	C₄⋊Q₈	—	2	4	no	—
481	C₄⋊Q₈	—	2	2	no	—
482	C₄⋊Q₈	—	2	2	no	—
483	C₄⋊Q₈	—	2	2	no	—
484	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
485	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
486	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
487	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
488	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
489	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
490	#127	—	2	2	no	—
491	#127	D₄×C₁₃	1	1	yes	characteristic
492	#127	C₂³×C₁₃	1	1	yes	characteristic
493	#126	—	2	4	no	—
494	#126	—	2	4	no	—
495	#125	—	2	1	no	—
496	#125	—	2	1	no	—
497	#124	—	2	4	no	—
498	#124	—	2	2	no	—
499	#124	—	2	2	no	—
500	#124	—	2	4	no	—
501	#124	D₄×C₁₃	1	2	yes	—
502	#124	C₂³×C₁₃	1	2	yes	—
503	#123	—	2	4	no	—
504	#123	—	2	4	no	—
505	C₂²⋊Q₈	—	2	2	no	—
506	C₂²⋊Q₈	—	2	1	no	—
507	C₂²⋊Q₈	—	2	1	no	—
508	C₂²⋊Q₈	—	2	4	no	—
509	C₂²⋊Q₈	—	2	4	no	—
510	C₂²⋊Q₈	—	2	4	no	—
511	C₂²⋊Q₈	—	2	4	no	—
512	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
513	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
514	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
515	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
516	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
517	#121	—	2	4	no	—
518	#121	—	2	4	no	—
519	#121	—	2	2	no	—
520	#121	—	2	1	no	—
521	#121	—	2	1	no	—
522	#121	—	2	4	no	—
523	#121	D₄×C₁₃	1	2	yes	—
524	#121	D₄×C₁₃	1	2	yes	—
525	#121	C₂³×C₁₃	1	4	yes	—
526	C₄×Q₈	—	2	2	no	—
527	C₄×Q₈	—	2	2	no	—
528	C₄×Q₈	—	2	1	no	—
529	C₄×Q₈	—	2	1	no	—
530	C₄×Q₈	—	2	1	no	—
531	C₄×Q₈	—	2	1	no	—
532	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
533	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
534	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
535	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
536	C₄×D₄	—	2	2	no	—
537	C₄×D₄	—	2	2	no	—
538	C₄×D₄	—	2	2	no	—
539	C₄×D₄	—	2	2	no	—
540	C₄×D₄	—	2	4	no	—
541	C₄×D₄	—	2	1	no	—
542	C₄×D₄	—	2	1	no	—
543	C₄×D₄	C₂³×C₁₃	1	2	yes	—
544	C₄×D₄	C₂³×C₁₃	1	2	yes	—
545	#117	—	2	1	no	—
546	#117	—	2	1	no	—
547	#117	C₂³×C₁₃	1	4	yes	—
548	C₂×C₄⋊C₄	—	2	1	no	—
549	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
550	C₂×C₄²	—	2	1	no	—
551	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
552	#107	C₂³×C₁₃	1	2	yes	—
553	#107	C₂³×C₁₃	1	2	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	2	yes	—
558	#103	C₂³×C₁₃	1	4	yes	—
559	#103	C₂³×C₁₃	1	2	yes	—
560	#103	C₂³×C₁₃	1	4	yes	—
561	#103	C₂³×C₁₃	1	4	yes	—
562	#103	C₂³×C₁₃	1	2	yes	—
563	#103	C₂³×C₁₃	1	2	yes	—
564	#103	C₂³×C₁₃	1	4	yes	—
565	#102	C₂³×C₁₃	1	4	yes	—
566	#102	C₂³×C₁₃	1	4	yes	—
567	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
568	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
569	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
570	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
571	#97	C₂³×C₁₃	1	2	yes	—
572	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
573	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
574	C₂×C₁₃	—	4	1	no	—
575	C₂×C₁₃	—	4	4	no	—
576	C₂×C₁₃	—	8	2	no	—
577	C₂×C₁₃	#3484	1	1	yes	characteristic
578	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
579	C₂×C₁₃	#3586	1	1	yes	characteristic
580	#41	—	2	8	no	—
581	#41	—	4	4	no	—
582	#41	—	4	4	no	—
583	#41	—	4	4	no	—
584	#41	—	4	16	no	—
585	#41	—	4	8	no	—
586	C₂×Q₈	—	2	4	no	—
587	C₂×Q₈	—	2	1	no	—
588	C₂×Q₈	—	2	1	no	—
589	C₂×Q₈	—	2	1	no	—
590	C₂×Q₈	—	2	4	no	—
591	C₂×Q₈	—	2	4	no	—
592	C₂×Q₈	—	2	8	no	—
593	C₂×Q₈	—	4	4	no	—
594	C₂×Q₈	—	4	4	no	—
595	C₂×Q₈	—	4	4	no	—
596	C₂×Q₈	—	4	8	no	—
597	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
598	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
599	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
600	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
601	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
602	C₂×D₄	—	2	2	no	—
603	C₂×D₄	—	2	4	no	—
604	C₂×D₄	—	2	4	no	—
605	C₂×D₄	—	2	1	no	—
606	C₂×D₄	—	2	1	no	—
607	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
608	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
609	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
610	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
611	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
612	C₂²×C₄	—	2	1	no	—
613	C₂²×C₄	—	2	4	no	—
614	C₂²×C₄	—	2	1	no	—
615	C₂²×C₄	—	2	4	no	—
616	C₂²×C₄	—	2	4	no	—
617	C₂²×C₄	—	2	2	no	—
618	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
619	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
620	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
621	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
622	Q₁₆	—	2	4	no	—
623	Q₁₆	—	2	8	no	—
624	Q₁₆	—	2	4	no	—
625	Q₁₆	—	4	4	no	—
626	Q₁₆	—	4	4	no	—
627	SD₁₆	—	4	4	no	—
628	SD₁₆	—	4	4	no	—
629	M₁₆	—	4	4	no	—
630	C₂×C₈	—	4	4	no	—
631	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
632	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
633	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
634	C₄⋊C₄	—	2	2	no	—
635	C₄⋊C₄	—	2	2	no	—
636	C₄⋊C₄	—	2	1	no	—
637	C₄⋊C₄	—	2	1	no	—
638	C₄⋊C₄	—	2	1	no	—
639	C₄⋊C₄	—	2	1	no	—
640	C₄⋊C₄	—	2	1	no	—
641	C₄⋊C₄	—	2	1	no	—
642	C₄⋊C₄	—	2	1	no	—
643	C₄⋊C₄	—	2	1	no	—
644	C₄⋊C₄	—	2	1	no	—
645	C₄⋊C₄	—	2	4	no	—
646	C₄⋊C₄	—	2	4	no	—
647	C₄⋊C₄	—	2	4	no	—
648	C₄⋊C₄	—	2	2	no	—
649	C₄⋊C₄	—	2	2	no	—
650	C₄⋊C₄	—	2	2	no	—
651	C₄⋊C₄	—	2	2	no	—
652	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
653	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
654	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
655	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
656	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
657	C₂²⋊C₄	—	2	2	no	—
658	C₂²⋊C₄	—	2	2	no	—
659	C₂²⋊C₄	—	2	4	no	—
660	C₂²⋊C₄	—	2	4	no	—
661	C₂²⋊C₄	—	2	4	no	—
662	C₂²⋊C₄	—	2	4	no	—
663	C₂²⋊C₄	—	2	2	no	—
664	C₂²⋊C₄	—	2	2	no	—
665	C₂²⋊C₄	—	2	4	no	—
666	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
667	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
668	C₄²	—	2	2	no	—
669	C₄²	—	2	2	no	—
670	C₄²	—	2	2	no	—
671	C₄²	—	2	2	no	—
672	C₄²	—	2	4	no	—
673	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
674	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
675	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
676	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
677	C₁₃	#61683	1	1	yes	characteristic, direct product factor, Sylow
678	C₂³	—	2	2	no	—
679	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
680	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
681	Q₈	—	2	4	no	—
682	Q₈	—	2	2	no	—
683	Q₈	—	2	2	no	—
684	Q₈	—	2	4	no	—
685	Q₈	—	2	2	no	—
686	Q₈	—	2	4	no	—
687	Q₈	—	4	2	no	—
688	Q₈	—	4	8	no	—
689	Q₈	—	4	2	no	—
690	Q₈	—	4	2	no	—
691	Q₈	—	8	4	no	—
692	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
693	D₄	—	2	4	no	—
694	D₄	—	2	4	no	—
695	D₄	—	4	2	no	—
696	D₄	—	4	2	no	—
697	D₄	—	4	4	no	—
698	D₄	—	4	8	no	—
699	D₄	—	4	4	no	—
700	D₄	—	4	2	no	—
701	D₄	—	8	1	no	—
702	D₄	—	8	4	no	—
703	C₂×C₄	—	2	4	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	4	no	—
707	C₂×C₄	—	2	4	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	2	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	2	no	—
713	C₂×C₄	—	2	2	no	—
714	C₂×C₄	—	2	2	no	—
715	C₂×C₄	—	4	1	no	—
716	C₂×C₄	—	4	8	no	—
717	C₂×C₄	—	4	8	no	—
718	C₂×C₄	—	4	4	no	—
719	C₂×C₄	—	8	1	no	—
720	C₂×C₄	—	8	4	no	—
721	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
722	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
723	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
724	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
725	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
726	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
727	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
728	C₈	—	2	2	no	—
729	C₈	—	2	4	no	—
730	C₈	—	2	2	no	—
731	C₂²	—	2	1	no	—
732	C₂²	—	2	4	no	—
733	C₂²	—	2	1	no	—
734	C₂²	—	2	4	no	—
735	C₂²	—	2	1	no	—
736	C₂²	—	2	4	no	—
737	C₂²	—	4	2	no	—
738	C₂²	—	4	2	no	—
739	C₂²	—	4	2	no	—
740	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
741	C₄	—	2	1	no	—
742	C₄	—	2	1	no	—
743	C₄	—	2	1	no	—
744	C₄	—	2	4	no	—
745	C₄	—	2	1	no	—
746	C₄	—	2	4	no	—
747	C₄	—	4	2	no	—
748	C₄	—	4	2	no	—
749	C₄	—	4	2	no	—
750	C₄	—	4	2	no	—
751	C₄	—	4	2	no	—
752	C₄	—	4	2	no	—
753	C₄	C₁₃×#578	1	2	yes	—
754	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
755	C₂	—	4	1	no	—
756	C₂	—	4	4	no	—
757	C₂	—	8	2	no	—
758	C₂	C₁₃×#3484	1	1	yes	characteristic
759	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
760	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×#3497	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×#3550	C₂	semidirect
3. C₁₃×#3328	C₂	semidirect
4. C₁₃×#3313	C₂	semidirect
5. C₁₃×#3304	C₂	semidirect
6. D₄×C₁₃×Q₁₆	C₂	semidirect
7. C₁₃×#3278	C₂	semidirect
8. C₁₃×#3270	C₂	semidirect
9. C₁₃×#3216	C₂	semidirect
10. C₁₃×#3210	C₂	semidirect
11. C₁₃×#3201	C₂	semidirect
12. C₁₃×#3113	C₂	semidirect
13. C₁₃×#3104	C₂	semidirect
14. C₁₃×#3011	C₂	semidirect
15. C₁₃×#2981	C₂	semidirect
200. #61683	C₁₃	direct (N × H)
298. #3550	C₂×C₁₃	semidirect
300. #3328	C₂×C₁₃	semidirect
301. #3313	C₂×C₁₃	semidirect
302. #3304	C₂×C₁₃	semidirect
303. D₄×Q₁₆	C₂×C₁₃	semidirect
304. #3278	C₂×C₁₃	semidirect
305. #3270	C₂×C₁₃	semidirect
306. #3216	C₂×C₁₃	semidirect
307. #3210	C₂×C₁₃	semidirect
308. #3201	C₂×C₁₃	semidirect
309. #3113	C₂×C₁₃	semidirect
310. #3104	C₂×C₁₃	semidirect
311. #3011	C₂×C₁₃	semidirect
312. #2981	C₂×C₁₃	semidirect
677. C₁₃	#61683	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×#3550	2
C₁₃×#3497	2
C₁₃×#3328	2
C₁₃×#3313	2
C₁₃×#3304	2
D₄×C₁₃×Q₁₆	2
C₁₃×#3278	2
C₁₃×#3270	2
C₁₃×#3216	2
C₁₃×#3210	2
C₁₃×#3201	2
C₁₃×#3113	2
C₁₃×#3104	2
C₁₃×#3011	2
C₁₃×#2981	2
#61683	13

Subgroups — C13×#61683 #15748022

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61683 #15748022