Subgroups — C₁₃×#62839 #15749178

Order 3328.

6616 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3557	C₂	1	6	yes	maximal, complemented
2	C₁₃×#3551	C₂	1	6	yes	maximal, complemented
3	C₁₃×#3540	C₂	1	6	yes	maximal, complemented
4	C₁₃×#3539	C₂	1	6	yes	maximal, complemented
5	C₁₃×#3524	C₂	1	12	yes	maximal, complemented
6	C₁₃×#3521	C₂	1	12	yes	maximal, complemented
7	C₁₃×#3511	C₂	1	6	yes	maximal, complemented
8	C₁₃×#3509	C₂	1	3	yes	maximal, complemented
9	C₁₃×#3508	C₂	1	3	yes	maximal, complemented
10	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3444	C₂	1	2	yes	maximal, complemented
12	C₁₃×#563	C₂²	1	12	yes	complemented
13	C₁₃×H(3,𝔽₄)	C₂²	1	4	yes	—
14	C₁₃×#560	C₂²	1	12	yes	complemented
15	C₁₃×#560	C₂²	1	4	yes	complemented
16	C₁₃×#559	C₂²	1	12	yes	complemented
17	C₁₃×#559	C₂²	1	12	yes	complemented
18	C₁₃×#557	C₂²	1	12	yes	complemented
19	C₁₃×#556	C₂²	1	12	yes	—
20	C₁₃×#556	C₂²	1	12	yes	complemented
21	C₁₃×#555	C₂²	1	12	yes	complemented
22	C₁₃×#555	C₂²	1	12	yes	complemented
23	C₁₃×#554	C₂²	1	12	yes	complemented
24	C₁₃×#553	C₂²	1	24	yes	complemented
25	C₁₃×#553	C₂²	1	12	yes	complemented
26	C₁₃×#553	C₂²	1	12	yes	complemented
27	C₁₃×#552	C₂²	1	24	yes	complemented
28	C₁₃×#552	C₂²	1	12	yes	complemented
29	C₁₃×#552	C₂²	1	12	yes	complemented
30	C₁₃×#551	C₂²	1	12	yes	—
31	C₁₃×#551	C₂²	1	12	yes	complemented
32	C₁₃×#550	C₂²	1	12	yes	—
33	C₁₃×#548	C₂²	1	12	yes	complemented
34	C₁₃×#548	C₂²	1	12	yes	complemented
35	C₁₃×#547	C₂²	1	12	yes	complemented
36	C₁₃×#546	C₂²	1	12	yes	—
37	C₁₃×#546	C₂²	1	12	yes	complemented
38	C₁₃×#542	C₂²	1	12	yes	complemented
39	C₁₃×#542	C₂²	1	24	yes	complemented
40	C₁₃×#542	C₂²	1	12	yes	complemented
41	C₁₃×#541	C₂²	1	6	yes	complemented
42	C₁₃×#541	C₂²	1	6	yes	complemented
43	C₁₃×#540	C₂²	1	6	yes	—
44	C₁₃×#540	C₂²	1	6	yes	complemented
45	C₁₃×#540	C₂²	1	24	yes	complemented
46	C₁₃×#539	C₂²	1	24	yes	complemented
47	C₁₃×#538	C₂²	1	24	yes	—
48	C₁₃×#537	C₂²	1	12	yes	complemented
49	C₁₃×#536	C₂²	1	6	yes	—
50	C₁₃×#535	C₂²	1	6	yes	—
51	C₁₃×#533	C₂²	1	3	yes	complemented
52	C₁₃×#533	C₂²	1	6	yes	complemented
53	C₁₃×#533	C₂²	1	3	yes	complemented
54	C₁₃×#533	C₂²	1	3	yes	complemented
55	C₁₃×#532	C₂²	1	3	yes	—
56	C₁₃×#532	C₂²	1	6	yes	—
57	C₁₃×#532	C₂²	1	6	yes	complemented
58	C₂×C₁₃×C₄⋊Q₈	C₂²	1	3	yes	complemented
59	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#529	C₂²	1	6	yes	—
61	C₁₃×#529	C₂²	1	24	yes	complemented
62	C₁₃×#529	C₂²	1	12	yes	complemented
63	C₁₃×#529	C₂²	1	6	yes	complemented
64	C₁₃×#529	C₂²	1	12	yes	complemented
65	C₂×C₁₃×#126	C₂²	1	8	yes	complemented
66	C₁₃×#525	C₂²	1	3	yes	—
67	C₁₃×#525	C₂²	1	3	yes	complemented
68	C₁₃×#525	C₂²	1	12	yes	complemented
69	C₁₃×#520	C₂²	1	12	yes	complemented
70	C₁₃×#519	C₂²	1	6	yes	complemented
71	C₁₃×#518	C₂²	1	6	yes	complemented
72	C₄×C₁₃×#41	C₂²	1	3	yes	—
73	C₄×C₁₃×#41	C₂²	1	12	yes	complemented
74	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
75	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₁₃×#41	C₂³	1	3	yes	—
77	C₂×C₁₃×#41	C₂³	1	3	yes	—
78	C₂×C₁₃×#41	C₂³	1	12	yes	—
79	C₂×C₁₃×#41	C₂³	1	12	yes	—
80	C₂²×Q₈×C₁₃	C₂³	1	6	yes	—
81	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
82	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
83	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
84	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
85	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
86	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
87	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
88	C₁₃×#127	C₂³	1	2	yes	—
89	C₁₃×#127	C₂³	1	6	yes	—
90	C₁₃×#127	C₂³	1	1	yes	characteristic
91	C₁₃×#127	C₂³	1	12	yes	—
92	C₁₃×#126	C₂³	1	2	yes	—
93	C₁₃×#126	C₂³	1	8	yes	—
94	C₁₃×#126	C₂³	1	24	yes	—
95	C₁₃×#126	C₂³	1	24	yes	—
96	C₁₃×#126	C₂³	1	6	yes	—
97	C₁₃×#126	C₂³	1	8	yes	—
98	C₁₃×#126	C₂³	1	24	yes	—
99	C₁₃×#126	C₂³	1	24	yes	—
100	C₁₃×#125	C₂³	1	6	yes	—
101	C₁₃×#125	C₂³	1	12	yes	—
102	C₁₃×#125	C₂³	1	24	yes	—
103	C₁₃×#125	C₂³	1	6	yes	—
104	C₁₃×#125	C₂³	1	6	yes	—
105	C₁₃×#125	C₂³	1	24	yes	—
106	C₁₃×#124	C₂³	1	3	yes	—
107	C₁₃×#124	C₂³	1	12	yes	—
108	C₁₃×#124	C₂³	1	3	yes	—
109	C₁₃×#124	C₂³	1	24	yes	—
110	C₁₃×#124	C₂³	1	12	yes	—
111	C₁₃×#124	C₂³	1	12	yes	—
112	C₁₃×#124	C₂³	1	12	yes	—
113	C₁₃×#124	C₂³	1	24	yes	—
114	C₁₃×#123	C₂³	1	3	yes	—
115	C₁₃×#123	C₂³	1	3	yes	—
116	C₁₃×#123	C₂³	1	6	yes	—
117	C₁₃×#123	C₂³	1	24	yes	—
118	C₁₃×#123	C₂³	1	24	yes	—
119	C₁₃×#123	C₂³	1	24	yes	—
120	C₁₃×#123	C₂³	1	12	yes	—
121	C₁₃×#123	C₂³	1	12	yes	—
122	C₁₃×#123	C₂³	1	24	yes	—
123	C₁₃×#123	C₂³	1	24	yes	—
124	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
125	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
126	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
127	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
128	C₁₃×C₂²⋊Q₈	C₂³	1	24	yes	—
129	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
130	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
131	C₁₃×C₂²⋊Q₈	C₂³	1	24	yes	—
132	C₁₃×C₂²⋊Q₈	C₂³	1	24	yes	—
133	C₁₃×#121	C₂³	1	6	yes	—
134	C₁₃×#121	C₂³	1	12	yes	—
135	C₁₃×#121	C₂³	1	6	yes	—
136	C₁₃×#121	C₂³	1	12	yes	—
137	C₁₃×#121	C₂³	1	24	yes	—
138	C₁₃×#121	C₂³	1	12	yes	—
139	C₁₃×#121	C₂³	1	12	yes	—
140	C₁₃×#121	C₂³	1	24	yes	—
141	C₁₃×#121	C₂³	1	24	yes	—
142	C₁₃×#121	C₂³	1	24	yes	—
143	C₁₃×#121	C₂³	1	24	yes	—
144	C₁₃×#120	C₂³	1	1	yes	characteristic
145	C₁₃×#120	C₂³	1	3	yes	—
146	C₁₃×#120	C₂³	1	8	yes	—
147	C₁₃×#120	C₂³	1	12	yes	—
148	C₁₃×#120	C₂³	1	12	yes	—
149	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
150	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
151	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
152	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
153	C₄×Q₈×C₁₃	C₂³	1	24	yes	—
154	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
155	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
156	C₄×D₄×C₁₃	C₂³	1	6	yes	—
157	C₄×D₄×C₁₃	C₂³	1	6	yes	—
158	C₄×D₄×C₁₃	C₂³	1	6	yes	—
159	C₄×D₄×C₁₃	C₂³	1	12	yes	—
160	C₄×D₄×C₁₃	C₂³	1	6	yes	—
161	C₄×D₄×C₁₃	C₂³	1	6	yes	—
162	C₄×D₄×C₁₃	C₂³	1	24	yes	—
163	C₄×D₄×C₁₃	C₂³	1	24	yes	—
164	C₄×D₄×C₁₃	C₂³	1	12	yes	—
165	C₄×D₄×C₁₃	C₂³	1	6	yes	—
166	C₄×D₄×C₁₃	C₂³	1	24	yes	—
167	C₄×D₄×C₁₃	C₂³	1	12	yes	—
168	C₄×D₄×C₁₃	C₂³	1	24	yes	—
169	C₄×D₄×C₁₃	C₂³	1	24	yes	—
170	C₄×D₄×C₁₃	C₂³	1	12	yes	—
171	C₁₃×#117	C₂³	1	3	yes	—
172	C₁₃×#117	C₂³	1	3	yes	—
173	C₁₃×#117	C₂³	1	3	yes	—
174	C₁₃×#117	C₂³	1	6	yes	—
175	C₁₃×#117	C₂³	1	3	yes	—
176	C₁₃×#117	C₂³	1	12	yes	—
177	C₁₃×#117	C₂³	1	24	yes	—
178	C₁₃×#117	C₂³	1	6	yes	—
179	C₁₃×#117	C₂³	1	24	yes	—
180	C₁₃×#117	C₂³	1	6	yes	—
181	C₁₃×#117	C₂³	1	24	yes	—
182	C₂×C₁₃×C₄⋊C₄	C₂³	1	24	yes	—
183	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
184	C₂×C₁₃×C₂²⋊C₄	C₂³	1	24	yes	—
185	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
186	C₂×C₄²×C₁₃	C₂³	1	6	yes	—
187	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
188	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
189	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
190	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
191	#62839	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
192	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
193	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
194	C₁₃×#41	—	4	6	no	—
195	C₁₃×#41	—	4	6	no	—
196	C₁₃×#41	—	4	24	no	—
197	C₁₃×#41	—	4	24	no	—
198	C₂×Q₈×C₁₃	—	4	12	no	—
199	C₂×Q₈×C₁₃	C₂⁴	1	12	yes	—
200	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
201	C₂×Q₈×C₁₃	C₂⁴	1	12	yes	—
202	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
203	C₂×D₄×C₁₃	—	4	12	no	—
204	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
205	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
206	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
207	C₂×D₄×C₁₃	C₂⁴	1	24	yes	—
208	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
209	C₂×D₄×C₁₃	C₂⁴	1	24	yes	—
210	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
211	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
212	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
213	C₂²×C₄×C₁₃	—	4	6	no	—
214	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
215	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
216	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
217	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
218	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
219	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
220	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
221	C₂²×C₄×C₁₃	C₂⁴	1	24	yes	—
222	C₂²×C₄×C₁₃	C₂⁴	1	24	yes	—
223	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
224	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
225	C₁₃×C₄⋊C₄	C₂⁴	1	24	yes	—
226	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
227	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
228	C₁₃×C₄⋊C₄	C₂⁴	1	24	yes	—
229	C₁₃×C₄⋊C₄	C₂⁴	1	24	yes	—
230	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
231	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
232	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
233	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
234	C₁₃×C₄⋊C₄	C₂⁴	1	24	yes	—
235	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
236	C₁₃×C₄⋊C₄	C₂⁴	1	24	yes	—
237	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
238	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
239	C₁₃×C₂²⋊C₄	C₂⁴	1	24	yes	—
240	C₁₃×C₂²⋊C₄	C₂⁴	1	24	yes	—
241	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
242	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
243	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
244	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
245	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
246	C₁₃×C₂²⋊C₄	C₂⁴	1	24	yes	—
247	C₁₃×C₂²⋊C₄	C₂⁴	1	24	yes	—
248	C₁₃×C₂²⋊C₄	C₂⁴	1	24	yes	—
249	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
250	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
251	C₄²×C₁₃	C₂⁴	1	2	yes	—
252	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
253	C₄²×C₁₃	C₂⁴	1	3	yes	—
254	C₄²×C₁₃	C₂⁴	1	3	yes	—
255	C₄²×C₁₃	C₂⁴	1	6	yes	—
256	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
257	C₄²×C₁₃	C₂⁴	1	24	yes	—
258	C₄²×C₁₃	C₂⁴	1	3	yes	—
259	C₄²×C₁₃	C₂⁴	1	6	yes	—
260	C₄²×C₁₃	C₂⁴	1	3	yes	—
261	C₄²×C₁₃	C₂⁴	1	12	yes	—
262	C₄²×C₁₃	C₂⁴	1	12	yes	—
263	#3557	C₂×C₁₃	1	6	yes	complemented
264	#3551	C₂×C₁₃	1	6	yes	complemented
265	#3540	C₂×C₁₃	1	6	yes	complemented
266	#3539	C₂×C₁₃	1	6	yes	complemented
267	#3524	C₂×C₁₃	1	12	yes	complemented
268	#3521	C₂×C₁₃	1	12	yes	complemented
269	#3511	C₂×C₁₃	1	6	yes	complemented
270	#3509	C₂×C₁₃	1	3	yes	complemented
271	#3508	C₂×C₁₃	1	3	yes	complemented
272	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
273	#3444	C₂×C₁₃	1	2	yes	complemented
274	C₂³×C₁₃	—	4	3	no	—
275	C₂³×C₁₃	—	4	12	no	—
276	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
277	C₂³×C₁₃	C₂⁵	1	3	yes	—
278	C₂³×C₁₃	C₂⁵	1	8	yes	—
279	C₂³×C₁₃	C₂⁵	1	3	yes	—
280	Q₈×C₁₃	—	2	24	no	—
281	Q₈×C₁₃	—	4	12	no	—
282	Q₈×C₁₃	—	4	3	no	—
283	Q₈×C₁₃	—	4	3	no	—
284	D₄×C₁₃	—	2	24	no	—
285	D₄×C₁₃	—	4	12	no	—
286	D₄×C₁₃	—	4	6	no	—
287	D₄×C₁₃	—	4	3	no	—
288	D₄×C₁₃	—	4	3	no	—
289	D₄×C₁₃	—	4	3	no	—
290	D₄×C₁₃	—	4	3	no	—
291	D₄×C₁₃	—	4	24	no	—
292	D₄×C₁₃	—	4	24	no	—
293	C₂×C₄×C₁₃	—	2	12	no	—
294	C₂×C₄×C₁₃	—	2	6	no	—
295	C₂×C₄×C₁₃	—	2	6	no	—
296	C₂×C₄×C₁₃	—	2	6	no	—
297	C₂×C₄×C₁₃	—	2	12	no	—
298	C₂×C₄×C₁₃	—	4	3	no	—
299	C₂×C₄×C₁₃	—	4	6	no	—
300	C₂×C₄×C₁₃	—	4	12	no	—
301	C₂×C₄×C₁₃	—	4	24	no	—
302	C₂×C₄×C₁₃	—	4	24	no	—
303	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
304	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
305	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
306	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
307	C₂×C₄×C₁₃	C₂⁵	1	24	yes	—
308	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
309	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
310	#563	C₂²×C₁₃	1	12	yes	complemented
311	H(3,𝔽₄)	C₂²×C₁₃	1	4	yes	—
312	#560	C₂²×C₁₃	1	12	yes	complemented
313	#560	C₂²×C₁₃	1	4	yes	complemented
314	#559	C₂²×C₁₃	1	12	yes	complemented
315	#559	C₂²×C₁₃	1	12	yes	complemented
316	#557	C₂²×C₁₃	1	12	yes	complemented
317	#556	C₂²×C₁₃	1	12	yes	—
318	#556	C₂²×C₁₃	1	12	yes	complemented
319	#555	C₂²×C₁₃	1	12	yes	complemented
320	#555	C₂²×C₁₃	1	12	yes	complemented
321	#554	C₂²×C₁₃	1	12	yes	complemented
322	#553	C₂²×C₁₃	1	12	yes	complemented
323	#553	C₂²×C₁₃	1	12	yes	complemented
324	#553	C₂²×C₁₃	1	24	yes	complemented
325	#552	C₂²×C₁₃	1	12	yes	complemented
326	#552	C₂²×C₁₃	1	12	yes	complemented
327	#552	C₂²×C₁₃	1	24	yes	complemented
328	#551	C₂²×C₁₃	1	12	yes	—
329	#551	C₂²×C₁₃	1	12	yes	complemented
330	#550	C₂²×C₁₃	1	12	yes	—
331	#548	C₂²×C₁₃	1	12	yes	complemented
332	#548	C₂²×C₁₃	1	12	yes	complemented
333	#547	C₂²×C₁₃	1	12	yes	complemented
334	#546	C₂²×C₁₃	1	12	yes	—
335	#546	C₂²×C₁₃	1	12	yes	complemented
336	#542	C₂²×C₁₃	1	12	yes	complemented
337	#542	C₂²×C₁₃	1	12	yes	complemented
338	#542	C₂²×C₁₃	1	24	yes	complemented
339	#541	C₂²×C₁₃	1	6	yes	complemented
340	#541	C₂²×C₁₃	1	6	yes	complemented
341	#540	C₂²×C₁₃	1	6	yes	—
342	#540	C₂²×C₁₃	1	6	yes	complemented
343	#540	C₂²×C₁₃	1	24	yes	complemented
344	#539	C₂²×C₁₃	1	24	yes	complemented
345	#538	C₂²×C₁₃	1	24	yes	—
346	#537	C₂²×C₁₃	1	12	yes	complemented
347	#536	C₂²×C₁₃	1	6	yes	—
348	#535	C₂²×C₁₃	1	6	yes	—
349	#533	C₂²×C₁₃	1	6	yes	complemented
350	#533	C₂²×C₁₃	1	3	yes	complemented
351	#533	C₂²×C₁₃	1	3	yes	complemented
352	#533	C₂²×C₁₃	1	3	yes	complemented
353	#532	C₂²×C₁₃	1	6	yes	—
354	#532	C₂²×C₁₃	1	3	yes	—
355	#532	C₂²×C₁₃	1	6	yes	complemented
356	C₂×C₄⋊Q₈	C₂²×C₁₃	1	3	yes	complemented
357	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
358	#529	C₂²×C₁₃	1	6	yes	—
359	#529	C₂²×C₁₃	1	12	yes	complemented
360	#529	C₂²×C₁₃	1	6	yes	complemented
361	#529	C₂²×C₁₃	1	12	yes	complemented
362	#529	C₂²×C₁₃	1	24	yes	complemented
363	C₂×#126	C₂²×C₁₃	1	8	yes	complemented
364	#525	C₂²×C₁₃	1	3	yes	—
365	#525	C₂²×C₁₃	1	3	yes	complemented
366	#525	C₂²×C₁₃	1	12	yes	complemented
367	#520	C₂²×C₁₃	1	12	yes	complemented
368	#519	C₂²×C₁₃	1	6	yes	complemented
369	#518	C₂²×C₁₃	1	6	yes	complemented
370	C₄×#41	C₂²×C₁₃	1	3	yes	—
371	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
372	C₄×#41	C₂²×C₁₃	1	12	yes	complemented
373	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
374	C₂²×C₁₃	—	2	3	no	—
375	C₂²×C₁₃	—	2	6	no	—
376	C₂²×C₁₃	—	2	3	no	—
377	C₂²×C₁₃	—	2	6	no	—
378	C₂²×C₁₃	—	2	3	no	—
379	C₂²×C₁₃	—	2	24	no	—
380	C₂²×C₁₃	—	4	4	no	—
381	C₂²×C₁₃	—	16	4	no	—
382	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
383	C₄×C₁₃	—	2	6	no	—
384	C₄×C₁₃	—	2	6	no	—
385	C₄×C₁₃	—	2	3	no	—
386	C₄×C₁₃	—	2	3	no	—
387	C₄×C₁₃	—	2	3	no	—
388	C₄×C₁₃	—	2	24	no	—
389	C₄×C₁₃	#585	1	6	yes	—
390	C₂×#41	C₂³×C₁₃	1	3	yes	—
391	C₂×#41	C₂³×C₁₃	1	3	yes	—
392	C₂×#41	C₂³×C₁₃	1	12	yes	—
393	C₂×#41	C₂³×C₁₃	1	12	yes	—
394	C₂²×Q₈	C₂³×C₁₃	1	6	yes	—
395	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
396	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
397	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
398	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
399	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
400	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
401	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
402	#127	C₂³×C₁₃	1	2	yes	—
403	#127	C₂³×C₁₃	1	6	yes	—
404	#127	C₂³×C₁₃	1	1	yes	characteristic
405	#127	C₂³×C₁₃	1	12	yes	—
406	#126	C₂³×C₁₃	1	2	yes	—
407	#126	C₂³×C₁₃	1	8	yes	—
408	#126	C₂³×C₁₃	1	24	yes	—
409	#126	C₂³×C₁₃	1	24	yes	—
410	#126	C₂³×C₁₃	1	6	yes	—
411	#126	C₂³×C₁₃	1	8	yes	—
412	#126	C₂³×C₁₃	1	24	yes	—
413	#126	C₂³×C₁₃	1	24	yes	—
414	#125	C₂³×C₁₃	1	6	yes	—
415	#125	C₂³×C₁₃	1	12	yes	—
416	#125	C₂³×C₁₃	1	24	yes	—
417	#125	C₂³×C₁₃	1	6	yes	—
418	#125	C₂³×C₁₃	1	6	yes	—
419	#125	C₂³×C₁₃	1	24	yes	—
420	#124	C₂³×C₁₃	1	3	yes	—
421	#124	C₂³×C₁₃	1	12	yes	—
422	#124	C₂³×C₁₃	1	3	yes	—
423	#124	C₂³×C₁₃	1	24	yes	—
424	#124	C₂³×C₁₃	1	12	yes	—
425	#124	C₂³×C₁₃	1	12	yes	—
426	#124	C₂³×C₁₃	1	12	yes	—
427	#124	C₂³×C₁₃	1	24	yes	—
428	#123	C₂³×C₁₃	1	3	yes	—
429	#123	C₂³×C₁₃	1	3	yes	—
430	#123	C₂³×C₁₃	1	6	yes	—
431	#123	C₂³×C₁₃	1	24	yes	—
432	#123	C₂³×C₁₃	1	24	yes	—
433	#123	C₂³×C₁₃	1	24	yes	—
434	#123	C₂³×C₁₃	1	12	yes	—
435	#123	C₂³×C₁₃	1	12	yes	—
436	#123	C₂³×C₁₃	1	24	yes	—
437	#123	C₂³×C₁₃	1	24	yes	—
438	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
439	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
440	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
441	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
442	C₂²⋊Q₈	C₂³×C₁₃	1	24	yes	—
443	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
444	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
445	C₂²⋊Q₈	C₂³×C₁₃	1	24	yes	—
446	C₂²⋊Q₈	C₂³×C₁₃	1	24	yes	—
447	#121	C₂³×C₁₃	1	6	yes	—
448	#121	C₂³×C₁₃	1	12	yes	—
449	#121	C₂³×C₁₃	1	6	yes	—
450	#121	C₂³×C₁₃	1	12	yes	—
451	#121	C₂³×C₁₃	1	24	yes	—
452	#121	C₂³×C₁₃	1	12	yes	—
453	#121	C₂³×C₁₃	1	12	yes	—
454	#121	C₂³×C₁₃	1	24	yes	—
455	#121	C₂³×C₁₃	1	24	yes	—
456	#121	C₂³×C₁₃	1	24	yes	—
457	#121	C₂³×C₁₃	1	24	yes	—
458	#120	C₂³×C₁₃	1	1	yes	characteristic
459	#120	C₂³×C₁₃	1	3	yes	—
460	#120	C₂³×C₁₃	1	8	yes	—
461	#120	C₂³×C₁₃	1	12	yes	—
462	#120	C₂³×C₁₃	1	12	yes	—
463	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
464	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
465	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
466	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
467	C₄×Q₈	C₂³×C₁₃	1	24	yes	—
468	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
469	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
470	C₄×D₄	C₂³×C₁₃	1	6	yes	—
471	C₄×D₄	C₂³×C₁₃	1	6	yes	—
472	C₄×D₄	C₂³×C₁₃	1	6	yes	—
473	C₄×D₄	C₂³×C₁₃	1	12	yes	—
474	C₄×D₄	C₂³×C₁₃	1	6	yes	—
475	C₄×D₄	C₂³×C₁₃	1	6	yes	—
476	C₄×D₄	C₂³×C₁₃	1	24	yes	—
477	C₄×D₄	C₂³×C₁₃	1	24	yes	—
478	C₄×D₄	C₂³×C₁₃	1	12	yes	—
479	C₄×D₄	C₂³×C₁₃	1	6	yes	—
480	C₄×D₄	C₂³×C₁₃	1	24	yes	—
481	C₄×D₄	C₂³×C₁₃	1	12	yes	—
482	C₄×D₄	C₂³×C₁₃	1	24	yes	—
483	C₄×D₄	C₂³×C₁₃	1	24	yes	—
484	C₄×D₄	C₂³×C₁₃	1	12	yes	—
485	#117	C₂³×C₁₃	1	3	yes	—
486	#117	C₂³×C₁₃	1	3	yes	—
487	#117	C₂³×C₁₃	1	3	yes	—
488	#117	C₂³×C₁₃	1	6	yes	—
489	#117	C₂³×C₁₃	1	3	yes	—
490	#117	C₂³×C₁₃	1	12	yes	—
491	#117	C₂³×C₁₃	1	24	yes	—
492	#117	C₂³×C₁₃	1	6	yes	—
493	#117	C₂³×C₁₃	1	24	yes	—
494	#117	C₂³×C₁₃	1	6	yes	—
495	#117	C₂³×C₁₃	1	24	yes	—
496	C₂×C₄⋊C₄	C₂³×C₁₃	1	24	yes	—
497	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
498	C₂×C₂²⋊C₄	C₂³×C₁₃	1	24	yes	—
499	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
500	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
501	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
502	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
503	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
504	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
505	C₂×C₁₃	—	4	3	no	—
506	C₂×C₁₃	—	4	3	no	—
507	C₂×C₁₃	—	4	8	no	—
508	C₂×C₁₃	—	4	1	no	—
509	C₂×C₁₃	C₂×#585	1	3	yes	—
510	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
511	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
512	#41	—	4	6	no	—
513	#41	—	4	6	no	—
514	#41	—	4	24	no	—
515	#41	—	4	24	no	—
516	C₂×Q₈	—	4	12	no	—
517	C₂×Q₈	C₂⁴×C₁₃	1	12	yes	—
518	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
519	C₂×Q₈	C₂⁴×C₁₃	1	12	yes	—
520	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
521	C₂×D₄	—	4	12	no	—
522	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
523	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
524	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
525	C₂×D₄	C₂⁴×C₁₃	1	24	yes	—
526	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
527	C₂×D₄	C₂⁴×C₁₃	1	24	yes	—
528	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
529	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
530	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
531	C₂²×C₄	—	4	6	no	—
532	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
533	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
534	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
535	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
536	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
537	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
538	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
539	C₂²×C₄	C₂⁴×C₁₃	1	24	yes	—
540	C₂²×C₄	C₂⁴×C₁₃	1	24	yes	—
541	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
542	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
543	C₄⋊C₄	C₂⁴×C₁₃	1	24	yes	—
544	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
545	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
546	C₄⋊C₄	C₂⁴×C₁₃	1	24	yes	—
547	C₄⋊C₄	C₂⁴×C₁₃	1	24	yes	—
548	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
549	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
550	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
551	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
552	C₄⋊C₄	C₂⁴×C₁₃	1	24	yes	—
553	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
554	C₄⋊C₄	C₂⁴×C₁₃	1	24	yes	—
555	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
556	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
557	C₂²⋊C₄	C₂⁴×C₁₃	1	24	yes	—
558	C₂²⋊C₄	C₂⁴×C₁₃	1	24	yes	—
559	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
560	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
561	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
562	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
563	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
564	C₂²⋊C₄	C₂⁴×C₁₃	1	24	yes	—
565	C₂²⋊C₄	C₂⁴×C₁₃	1	24	yes	—
566	C₂²⋊C₄	C₂⁴×C₁₃	1	24	yes	—
567	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
568	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
569	C₄²	C₂⁴×C₁₃	1	2	yes	—
570	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
571	C₄²	C₂⁴×C₁₃	1	3	yes	—
572	C₄²	C₂⁴×C₁₃	1	3	yes	—
573	C₄²	C₂⁴×C₁₃	1	6	yes	—
574	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
575	C₄²	C₂⁴×C₁₃	1	24	yes	—
576	C₄²	C₂⁴×C₁₃	1	3	yes	—
577	C₄²	C₂⁴×C₁₃	1	6	yes	—
578	C₄²	C₂⁴×C₁₃	1	3	yes	—
579	C₄²	C₂⁴×C₁₃	1	12	yes	—
580	C₄²	C₂⁴×C₁₃	1	12	yes	—
581	C₁₃	#62839	1	1	yes	characteristic, direct product factor, Sylow
582	C₂³	—	4	3	no	—
583	C₂³	—	4	12	no	—
584	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
585	C₂³	C₂⁵×C₁₃	1	3	yes	—
586	C₂³	C₂⁵×C₁₃	1	8	yes	—
587	C₂³	C₂⁵×C₁₃	1	3	yes	—
588	Q₈	—	2	24	no	—
589	Q₈	—	4	12	no	—
590	Q₈	—	4	3	no	—
591	Q₈	—	4	3	no	—
592	D₄	—	2	24	no	—
593	D₄	—	4	12	no	—
594	D₄	—	4	6	no	—
595	D₄	—	4	3	no	—
596	D₄	—	4	3	no	—
597	D₄	—	4	3	no	—
598	D₄	—	4	3	no	—
599	D₄	—	4	24	no	—
600	D₄	—	4	24	no	—
601	C₂×C₄	—	2	12	no	—
602	C₂×C₄	—	2	6	no	—
603	C₂×C₄	—	2	6	no	—
604	C₂×C₄	—	2	6	no	—
605	C₂×C₄	—	2	12	no	—
606	C₂×C₄	—	4	3	no	—
607	C₂×C₄	—	4	6	no	—
608	C₂×C₄	—	4	12	no	—
609	C₂×C₄	—	4	24	no	—
610	C₂×C₄	—	4	24	no	—
611	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
612	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
613	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
614	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
615	C₂×C₄	C₂⁵×C₁₃	1	24	yes	—
616	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
617	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
618	C₂²	—	2	3	no	—
619	C₂²	—	2	6	no	—
620	C₂²	—	2	3	no	—
621	C₂²	—	2	6	no	—
622	C₂²	—	2	3	no	—
623	C₂²	—	2	24	no	—
624	C₂²	—	4	4	no	—
625	C₂²	—	16	4	no	—
626	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
627	C₄	—	2	6	no	—
628	C₄	—	2	6	no	—
629	C₄	—	2	3	no	—
630	C₄	—	2	3	no	—
631	C₄	—	2	3	no	—
632	C₄	—	2	24	no	—
633	C₄	C₁₃×#585	1	6	yes	—
634	C₂	—	4	3	no	—
635	C₂	—	4	1	no	—
636	C₂	—	4	8	no	—
637	C₂	—	4	3	no	—
638	C₂	C₂×C₁₃×#585	1	3	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3557	C₂	semidirect
2. C₁₃×#3551	C₂	semidirect
3. C₁₃×#3540	C₂	semidirect
4. C₁₃×#3539	C₂	semidirect
5. C₁₃×#3524	C₂	semidirect
6. C₁₃×#3521	C₂	semidirect
7. C₁₃×#3511	C₂	semidirect
8. C₁₃×#3509	C₂	semidirect
9. C₁₃×#3508	C₂	semidirect
10. C₁₃×#3444	C₂	semidirect
11. C₁₃×#3444	C₂	semidirect
12. C₁₃×#563	C₂²	semidirect
14. C₁₃×#560	C₂²	semidirect
15. C₁₃×#560	C₂²	semidirect
16. C₁₃×#559	C₂²	semidirect
17. C₁₃×#559	C₂²	semidirect
18. C₁₃×#557	C₂²	semidirect
20. C₁₃×#556	C₂²	semidirect
21. C₁₃×#555	C₂²	semidirect
22. C₁₃×#555	C₂²	semidirect
23. C₁₃×#554	C₂²	semidirect
24. C₁₃×#553	C₂²	semidirect
25. C₁₃×#553	C₂²	semidirect
26. C₁₃×#553	C₂²	semidirect
27. C₁₃×#552	C₂²	semidirect
28. C₁₃×#552	C₂²	semidirect
29. C₁₃×#552	C₂²	semidirect
31. C₁₃×#551	C₂²	semidirect
33. C₁₃×#548	C₂²	semidirect
34. C₁₃×#548	C₂²	semidirect
35. C₁₃×#547	C₂²	semidirect
37. C₁₃×#546	C₂²	semidirect
38. C₁₃×#542	C₂²	semidirect
39. C₁₃×#542	C₂²	semidirect
40. C₁₃×#542	C₂²	semidirect
41. C₁₃×#541	C₂²	semidirect
42. C₁₃×#541	C₂²	semidirect
44. C₁₃×#540	C₂²	semidirect
45. C₁₃×#540	C₂²	semidirect
46. C₁₃×#539	C₂²	semidirect
48. C₁₃×#537	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
52. C₁₃×#533	C₂²	semidirect
53. C₁₃×#533	C₂²	semidirect
54. C₁₃×#533	C₂²	semidirect
57. C₁₃×#532	C₂²	semidirect
58. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
59. C₂×C₁₃×#127	C₂²	semidirect
61. C₁₃×#529	C₂²	semidirect
62. C₁₃×#529	C₂²	semidirect
63. C₁₃×#529	C₂²	semidirect
64. C₁₃×#529	C₂²	semidirect
65. C₂×C₁₃×#126	C₂²	semidirect
67. C₁₃×#525	C₂²	semidirect
68. C₁₃×#525	C₂²	semidirect
69. C₁₃×#520	C₂²	semidirect
70. C₁₃×#519	C₂²	semidirect
71. C₁₃×#518	C₂²	semidirect
73. C₄×C₁₃×#41	C₂²	semidirect
74. C₄×C₁₃×#41	C₂²	semidirect
75. C₂²×C₄²×C₁₃	C₂²	semidirect
191. #62839	C₁₃	direct (N × H)
263. #3557	C₂×C₁₃	semidirect
264. #3551	C₂×C₁₃	semidirect
265. #3540	C₂×C₁₃	semidirect
266. #3539	C₂×C₁₃	semidirect
267. #3524	C₂×C₁₃	semidirect
268. #3521	C₂×C₁₃	semidirect
269. #3511	C₂×C₁₃	semidirect
270. #3509	C₂×C₁₃	semidirect
271. #3508	C₂×C₁₃	semidirect
272. #3444	C₂×C₁₃	semidirect
273. #3444	C₂×C₁₃	semidirect
310. #563	C₂²×C₁₃	semidirect
312. #560	C₂²×C₁₃	semidirect
313. #560	C₂²×C₁₃	semidirect
314. #559	C₂²×C₁₃	semidirect
315. #559	C₂²×C₁₃	semidirect
316. #557	C₂²×C₁₃	semidirect
318. #556	C₂²×C₁₃	semidirect
319. #555	C₂²×C₁₃	semidirect
320. #555	C₂²×C₁₃	semidirect
321. #554	C₂²×C₁₃	semidirect
322. #553	C₂²×C₁₃	semidirect
323. #553	C₂²×C₁₃	semidirect
324. #553	C₂²×C₁₃	semidirect
325. #552	C₂²×C₁₃	semidirect
326. #552	C₂²×C₁₃	semidirect
327. #552	C₂²×C₁₃	semidirect
329. #551	C₂²×C₁₃	semidirect
331. #548	C₂²×C₁₃	semidirect
332. #548	C₂²×C₁₃	semidirect
333. #547	C₂²×C₁₃	semidirect
335. #546	C₂²×C₁₃	semidirect
336. #542	C₂²×C₁₃	semidirect
337. #542	C₂²×C₁₃	semidirect
338. #542	C₂²×C₁₃	semidirect
339. #541	C₂²×C₁₃	semidirect
340. #541	C₂²×C₁₃	semidirect
342. #540	C₂²×C₁₃	semidirect
343. #540	C₂²×C₁₃	semidirect
344. #539	C₂²×C₁₃	semidirect
346. #537	C₂²×C₁₃	semidirect
349. #533	C₂²×C₁₃	semidirect
350. #533	C₂²×C₁₃	semidirect
351. #533	C₂²×C₁₃	semidirect
352. #533	C₂²×C₁₃	semidirect
355. #532	C₂²×C₁₃	semidirect
356. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
357. C₂×#127	C₂²×C₁₃	semidirect
359. #529	C₂²×C₁₃	semidirect
360. #529	C₂²×C₁₃	semidirect
361. #529	C₂²×C₁₃	semidirect
362. #529	C₂²×C₁₃	semidirect
363. C₂×#126	C₂²×C₁₃	semidirect
365. #525	C₂²×C₁₃	semidirect
366. #525	C₂²×C₁₃	semidirect
367. #520	C₂²×C₁₃	semidirect
368. #519	C₂²×C₁₃	semidirect
369. #518	C₂²×C₁₃	semidirect
371. C₄×#41	C₂²×C₁₃	semidirect
372. C₄×#41	C₂²×C₁₃	semidirect
373. C₂²×C₄²	C₂²×C₁₃	semidirect
581. C₁₃	#62839	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×#3557	2
C₁₃×#3551	2
C₁₃×#3540	2
C₁₃×#3539	2
C₁₃×#3524	2
C₁₃×#3521	2
C₁₃×#3511	2
C₁₃×#3509	2
C₁₃×#3508	2
C₁₃×#3444	2
#62839	13

Subgroups — C13×#62839 #15749178

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62839 #15749178