Subgroups — C₁₃×#60825 #15747164

Order 3328.

2146 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3221	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3220	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3214	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3213	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3151	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3140	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3042	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3041	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3010	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3008	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2923	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
19	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
20	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
21	C₂²×C₁₃×D₈	C₂²	1	2	yes	—
22	C₁₃×#559	—	2	2	no	—
23	C₁₃×#550	—	2	2	no	—
24	C₁₃×#548	—	2	2	no	—
25	C₁₃×#546	—	2	4	no	—
26	C₁₃×#546	—	2	2	no	—
27	C₁₃×#546	—	2	4	no	—
28	C₁₃×#540	C₂²	1	4	yes	complemented
29	C₁₃×#536	C₂²	1	1	yes	characteristic
30	C₁₃×#536	C₂²	1	2	yes	complemented
31	C₁₃×#535	C₂²	1	1	yes	characteristic
32	C₁₃×#535	C₂²	1	2	yes	—
33	C₁₃×#535	C₂²	1	2	yes	complemented
34	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#532	C₂²	1	1	yes	characteristic
36	C₁₃×#532	C₂²	1	2	yes	complemented
37	C₁₃×#532	C₂²	1	4	yes	complemented
38	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
41	C₁₃×#518	C₂²	1	2	yes	complemented
42	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
43	C₁₃×#496	C₂²	1	4	yes	complemented
44	C₁₃×#496	C₂²	1	4	yes	complemented
45	C₁₃×#496	C₂²	1	2	yes	complemented
46	C₁₃×#496	C₂²	1	2	yes	complemented
47	C₁₃×#493	C₂²	1	2	yes	complemented
48	C₁₃×#492	C₂²	1	2	yes	complemented
49	C₁₃×#491	C₂²	1	2	yes	complemented
50	C₁₃×#490	C₂²	1	2	yes	complemented
51	C₁₃×#489	C₂²	1	2	yes	complemented
52	C₁₃×#489	C₂²	1	2	yes	complemented
53	C₁₃×#489	C₂²	1	4	yes	complemented
54	C₁₃×#488	C₂²	1	4	yes	complemented
55	C₁₃×#463	C₂²	1	8	yes	complemented
56	C₁₃×#463	C₂²	1	8	yes	complemented
57	C₁₃×#461	C₂²	1	8	yes	complemented
58	C₁₃×#459	C₂²	1	8	yes	complemented
59	C₁₃×#449	C₂²	1	8	yes	complemented
60	C₁₃×#449	C₂²	1	8	yes	complemented
61	C₁₃×#448	C₂²	1	8	yes	complemented
62	C₁₃×#447	C₂²	1	8	yes	complemented
63	C₁₃×#433	C₂²	1	4	yes	complemented
64	C₁₃×#432	C₂²	1	4	yes	complemented
65	C₁₃×#424	C₂²	1	2	yes	complemented
66	C₁₃×#419	C₂²	1	2	yes	complemented
67	C₁₃×#418	C₂²	1	2	yes	—
68	C₁₃×#416	C₂²	1	2	yes	—
69	C₁₃×#416	C₂²	1	2	yes	complemented
70	C₁₃×#408	C₂²	1	2	yes	—
71	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×2₋¹⁺⁴	—	4	4	no	—
74	C₁₃×H(5,𝔽₂)	—	4	4	no	—
75	C₂×C₁₃×#41	—	2	1	no	—
76	C₂×C₁₃×#41	—	2	2	no	—
77	C₂×C₁₃×#41	—	2	1	no	—
78	C₂×C₁₃×#41	—	2	4	no	—
79	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
80	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
81	C₂×C₁₃×#41	C₂³	1	2	yes	—
82	C₂×C₁₃×#41	C₂³	1	2	yes	—
83	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
84	C₂²×Q₈×C₁₃	—	2	1	no	—
85	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
86	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
87	C₂²×D₄×C₁₃	—	2	2	no	—
88	C₂²×D₄×C₁₃	—	2	1	no	—
89	C₂²×D₄×C₁₃	—	2	2	no	—
90	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
91	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
92	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
93	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
94	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
95	C₂×C₁₃×SD₁₆	—	4	4	no	—
96	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
97	C₂×C₁₃×SD₁₆	C₂³	1	8	yes	—
98	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
99	C₂×C₁₃×D₈	—	4	4	no	—
100	C₂×C₁₃×D₈	C₂³	1	4	yes	—
101	C₂×C₁₃×D₈	C₂³	1	8	yes	—
102	C₂×C₁₃×D₈	C₂³	1	4	yes	—
103	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
104	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
105	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
106	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
107	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
108	C₁₃×#127	—	2	2	no	—
109	C₁₃×#127	—	2	2	no	—
110	C₁₃×#127	C₂³	1	2	yes	—
111	C₁₃×#127	C₂³	1	1	yes	characteristic
112	C₁₃×#127	C₂³	1	2	yes	—
113	C₁₃×#127	C₂³	1	2	yes	—
114	C₁₃×#125	C₂³	1	2	yes	—
115	C₁₃×#124	—	2	2	no	—
116	C₁₃×#124	—	2	2	no	—
117	C₁₃×#124	—	2	4	no	—
118	C₁₃×#124	—	2	4	no	—
119	C₁₃×#124	C₂³	1	2	yes	—
120	C₁₃×#124	C₂³	1	2	yes	—
121	C₁₃×#124	C₂³	1	2	yes	—
122	C₁₃×#124	C₂³	1	2	yes	—
123	C₁₃×#124	C₂³	1	1	yes	characteristic
124	C₁₃×#124	C₂³	1	1	yes	characteristic
125	C₁₃×#123	—	2	8	no	—
126	C₁₃×#123	—	2	2	no	—
127	C₁₃×#123	—	2	4	no	—
128	C₁₃×C₂²⋊Q₈	—	2	2	no	—
129	C₁₃×C₂²⋊Q₈	—	2	2	no	—
130	C₁₃×C₂²⋊Q₈	—	2	4	no	—
131	C₁₃×#121	—	2	2	no	—
132	C₁₃×#121	—	2	4	no	—
133	C₁₃×#121	—	2	4	no	—
134	C₁₃×#121	—	2	2	no	—
135	C₁₃×#121	—	2	4	no	—
136	C₁₃×#121	—	2	8	no	—
137	C₁₃×#121	C₂³	1	8	yes	—
138	C₁₃×#120	—	2	4	no	—
139	C₁₃×#120	—	2	2	no	—
140	C₁₃×#120	—	2	4	no	—
141	C₄×Q₈×C₁₃	—	2	2	no	—
142	C₄×Q₈×C₁₃	D₄	1	2	yes	—
143	C₄×D₄×C₁₃	—	2	4	no	—
144	C₄×D₄×C₁₃	—	2	2	no	—
145	C₄×D₄×C₁₃	—	2	4	no	—
146	C₄×D₄×C₁₃	—	2	4	no	—
147	C₄×D₄×C₁₃	D₄	1	4	yes	—
148	C₄×D₄×C₁₃	D₄	1	2	yes	—
149	C₄×D₄×C₁₃	C₂³	1	8	yes	—
150	C₁₃×#117	C₂³	1	2	yes	—
151	C₁₃×#117	C₂³	1	1	yes	characteristic
152	C₁₃×#117	C₂³	1	2	yes	—
153	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
154	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
155	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
156	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
157	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
158	C₁₃×C₄⋊C₈	C₂³	1	8	yes	—
159	C₁₃×#103	C₂³	1	4	yes	—
160	C₁₃×#103	C₂³	1	4	yes	—
161	C₁₃×#103	C₂³	1	8	yes	—
162	C₁₃×#102	C₂³	1	4	yes	—
163	C₁₃×#102	C₂³	1	4	yes	—
164	C₁₃×#102	C₂³	1	8	yes	—
165	C₁₃×C₂²⋊C₈	C₂³	1	8	yes	—
166	C₁₃×#97	C₂³	1	2	yes	—
167	C₁₃×#97	C₂³	1	2	yes	—
168	C₁₃×#97	C₂³	1	2	yes	—
169	C₄×C₈×C₁₃	C₂³	1	2	yes	—
170	#60825	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
171	C₂⁴×C₁₃	—	2	2	no	—
172	C₂⁴×C₁₃	—	2	1	no	—
173	C₂⁴×C₁₃	—	2	2	no	—
174	C₁₃×#41	—	2	4	no	—
175	C₁₃×#41	—	2	4	no	—
176	C₁₃×#41	—	2	4	no	—
177	C₁₃×#41	—	4	4	no	—
178	C₁₃×#41	—	4	4	no	—
179	C₁₃×#41	—	4	8	no	—
180	C₁₃×#41	—	4	4	no	—
181	C₁₃×#41	—	4	4	no	—
182	C₁₃×#41	—	8	8	no	—
183	C₂×Q₈×C₁₃	—	2	2	no	—
184	C₂×Q₈×C₁₃	—	2	2	no	—
185	C₂×Q₈×C₁₃	—	2	1	no	—
186	C₂×Q₈×C₁₃	—	2	4	no	—
187	C₂×Q₈×C₁₃	—	4	4	no	—
188	C₂×Q₈×C₁₃	—	4	4	no	—
189	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
190	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
191	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
192	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
193	C₂×D₄×C₁₃	—	2	2	no	—
194	C₂×D₄×C₁₃	—	2	1	no	—
195	C₂×D₄×C₁₃	—	2	2	no	—
196	C₂×D₄×C₁₃	—	2	1	no	—
197	C₂×D₄×C₁₃	—	2	8	no	—
198	C₂×D₄×C₁₃	—	2	2	no	—
199	C₂×D₄×C₁₃	—	2	4	no	—
200	C₂×D₄×C₁₃	—	2	2	no	—
201	C₂×D₄×C₁₃	—	2	1	no	—
202	C₂×D₄×C₁₃	—	2	4	no	—
203	C₂×D₄×C₁₃	—	2	2	no	—
204	C₂×D₄×C₁₃	—	2	4	no	—
205	C₂×D₄×C₁₃	—	2	4	no	—
206	C₂×D₄×C₁₃	—	2	4	no	—
207	C₂×D₄×C₁₃	—	2	4	no	—
208	C₂×D₄×C₁₃	—	4	4	no	—
209	C₂×D₄×C₁₃	—	4	8	no	—
210	C₂×D₄×C₁₃	—	4	4	no	—
211	C₂×D₄×C₁₃	—	8	4	no	—
212	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
213	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
214	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
215	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
216	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
217	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
218	C₂²×C₄×C₁₃	—	2	2	no	—
219	C₂²×C₄×C₁₃	—	2	1	no	—
220	C₂²×C₄×C₁₃	—	2	2	no	—
221	C₂²×C₄×C₁₃	—	2	1	no	—
222	C₂²×C₄×C₁₃	—	2	2	no	—
223	C₂²×C₄×C₁₃	—	2	1	no	—
224	C₂²×C₄×C₁₃	—	2	8	no	—
225	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
226	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
227	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
228	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
229	C₁₃×SD₁₆	—	4	8	no	—
230	C₁₃×SD₁₆	—	4	4	no	—
231	C₁₃×SD₁₆	—	4	4	no	—
232	C₁₃×D₈	—	4	8	no	—
233	C₁₃×D₈	—	4	4	no	—
234	C₁₃×D₈	—	4	4	no	—
235	C₁₃×M₁₆	—	2	4	no	—
236	C₂×C₈×C₁₃	—	2	4	no	—
237	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
238	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
239	C₁₃×C₄⋊C₄	—	2	2	no	—
240	C₁₃×C₄⋊C₄	—	2	4	no	—
241	C₁₃×C₄⋊C₄	—	2	2	no	—
242	C₁₃×C₄⋊C₄	—	2	4	no	—
243	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
244	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
245	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
246	C₁₃×C₂²⋊C₄	—	2	2	no	—
247	C₁₃×C₂²⋊C₄	—	2	4	no	—
248	C₁₃×C₂²⋊C₄	—	2	2	no	—
249	C₁₃×C₂²⋊C₄	—	2	8	no	—
250	C₁₃×C₂²⋊C₄	—	2	4	no	—
251	C₁₃×C₂²⋊C₄	—	2	4	no	—
252	C₁₃×C₂²⋊C₄	—	2	4	no	—
253	C₁₃×C₂²⋊C₄	—	2	2	no	—
254	C₁₃×C₂²⋊C₄	—	2	8	no	—
255	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
256	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
257	C₄²×C₁₃	—	2	2	no	—
258	C₄²×C₁₃	C₂×D₄	1	4	yes	—
259	C₄²×C₁₃	C₂×D₄	1	2	yes	—
260	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
261	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
262	C₄²×C₁₃	C₂⁴	1	2	yes	—
263	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
264	#3500	C₂×C₁₃	1	1	yes	characteristic, complemented
265	#3221	C₂×C₁₃	1	4	yes	complemented
266	#3220	C₂×C₁₃	1	4	yes	complemented
267	#3214	C₂×C₁₃	1	4	yes	complemented
268	#3213	C₂×C₁₃	1	4	yes	complemented
269	#3151	C₂×C₁₃	1	1	yes	characteristic, complemented
270	C₂×#496	C₂×C₁₃	1	1	yes	characteristic, complemented
271	#3140	C₂×C₁₃	1	1	yes	characteristic, complemented
272	#3135	C₂×C₁₃	1	1	yes	characteristic, complemented
273	#3042	C₂×C₁₃	1	2	yes	complemented
274	#3041	C₂×C₁₃	1	2	yes	complemented
275	#3010	C₂×C₁₃	1	2	yes	complemented
276	#3008	C₂×C₁₃	1	2	yes	complemented
277	#2923	C₂×C₁₃	1	1	yes	characteristic, complemented
278	C₂³×C₁₃	—	2	2	no	—
279	C₂³×C₁₃	—	2	1	no	—
280	C₂³×C₁₃	—	2	4	no	—
281	C₂³×C₁₃	—	2	1	no	—
282	C₂³×C₁₃	—	4	4	no	—
283	C₂³×C₁₃	—	4	2	no	—
284	C₂³×C₁₃	—	4	4	no	—
285	C₂³×C₁₃	—	8	4	no	—
286	C₂³×C₁₃	—	8	2	no	—
287	C₂³×C₁₃	—	8	4	no	—
288	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
289	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
290	Q₈×C₁₃	—	2	2	no	—
291	Q₈×C₁₃	—	2	4	no	—
292	Q₈×C₁₃	—	2	2	no	—
293	Q₈×C₁₃	—	2	2	no	—
294	Q₈×C₁₃	—	4	4	no	—
295	Q₈×C₁₃	—	4	4	no	—
296	Q₈×C₁₃	—	4	2	no	—
297	D₄×C₁₃	—	2	4	no	—
298	D₄×C₁₃	—	2	2	no	—
299	D₄×C₁₃	—	2	4	no	—
300	D₄×C₁₃	—	2	4	no	—
301	D₄×C₁₃	—	2	2	no	—
302	D₄×C₁₃	—	2	2	no	—
303	D₄×C₁₃	—	2	4	no	—
304	D₄×C₁₃	—	4	4	no	—
305	D₄×C₁₃	—	4	8	no	—
306	D₄×C₁₃	—	4	4	no	—
307	D₄×C₁₃	—	4	4	no	—
308	D₄×C₁₃	—	4	2	no	—
309	D₄×C₁₃	—	4	2	no	—
310	D₄×C₁₃	—	4	4	no	—
311	D₄×C₁₃	—	4	2	no	—
312	D₄×C₁₃	—	8	4	no	—
313	D₄×C₁₃	—	8	2	no	—
314	D₄×C₁₃	—	8	4	no	—
315	D₄×C₁₃	—	8	8	no	—
316	C₂×C₄×C₁₃	—	2	4	no	—
317	C₂×C₄×C₁₃	—	2	4	no	—
318	C₂×C₄×C₁₃	—	2	2	no	—
319	C₂×C₄×C₁₃	—	2	1	no	—
320	C₂×C₄×C₁₃	—	2	1	no	—
321	C₂×C₄×C₁₃	—	4	2	no	—
322	C₂×C₄×C₁₃	—	4	4	no	—
323	C₂×C₄×C₁₃	—	4	4	no	—
324	C₂×C₄×C₁₃	—	4	4	no	—
325	C₂×C₄×C₁₃	—	4	4	no	—
326	C₂×C₄×C₁₃	—	4	2	no	—
327	C₂×C₄×C₁₃	—	4	2	no	—
328	C₂×C₄×C₁₃	—	4	2	no	—
329	C₂×C₄×C₁₃	—	8	8	no	—
330	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
331	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
332	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
333	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
334	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
335	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
336	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
337	C₈×C₁₃	—	2	4	no	—
338	C₈×C₁₃	—	2	4	no	—
339	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
340	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
341	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
342	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
343	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
344	C₂²×D₈	C₂²×C₁₃	1	2	yes	—
345	#559	—	2	2	no	—
346	#550	—	2	2	no	—
347	#548	—	2	2	no	—
348	#546	—	2	4	no	—
349	#546	—	2	2	no	—
350	#546	—	2	4	no	—
351	#540	C₂²×C₁₃	1	4	yes	complemented
352	#536	C₂²×C₁₃	1	1	yes	characteristic
353	#536	C₂²×C₁₃	1	2	yes	complemented
354	#535	C₂²×C₁₃	1	1	yes	characteristic
355	#535	C₂²×C₁₃	1	2	yes	—
356	#535	C₂²×C₁₃	1	2	yes	complemented
357	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
358	#532	C₂²×C₁₃	1	1	yes	characteristic
359	#532	C₂²×C₁₃	1	2	yes	complemented
360	#532	C₂²×C₁₃	1	4	yes	complemented
361	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
362	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
363	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
364	#518	C₂²×C₁₃	1	2	yes	complemented
365	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
366	#496	C₂²×C₁₃	1	4	yes	complemented
367	#496	C₂²×C₁₃	1	4	yes	complemented
368	#496	C₂²×C₁₃	1	2	yes	complemented
369	#496	C₂²×C₁₃	1	2	yes	complemented
370	#493	C₂²×C₁₃	1	2	yes	complemented
371	#492	C₂²×C₁₃	1	2	yes	complemented
372	#491	C₂²×C₁₃	1	2	yes	complemented
373	#490	C₂²×C₁₃	1	2	yes	complemented
374	#489	C₂²×C₁₃	1	2	yes	complemented
375	#489	C₂²×C₁₃	1	2	yes	complemented
376	#489	C₂²×C₁₃	1	4	yes	complemented
377	#488	C₂²×C₁₃	1	4	yes	complemented
378	#463	C₂²×C₁₃	1	8	yes	complemented
379	#463	C₂²×C₁₃	1	8	yes	complemented
380	#461	C₂²×C₁₃	1	8	yes	complemented
381	#459	C₂²×C₁₃	1	8	yes	complemented
382	#449	C₂²×C₁₃	1	8	yes	complemented
383	#449	C₂²×C₁₃	1	8	yes	complemented
384	#448	C₂²×C₁₃	1	8	yes	complemented
385	#447	C₂²×C₁₃	1	8	yes	complemented
386	#433	C₂²×C₁₃	1	4	yes	complemented
387	#432	C₂²×C₁₃	1	4	yes	complemented
388	#424	C₂²×C₁₃	1	2	yes	complemented
389	#419	C₂²×C₁₃	1	2	yes	complemented
390	#418	C₂²×C₁₃	1	2	yes	—
391	#416	C₂²×C₁₃	1	2	yes	—
392	#416	C₂²×C₁₃	1	2	yes	complemented
393	#408	C₂²×C₁₃	1	2	yes	—
394	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
395	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
396	C₂²×C₁₃	—	2	2	no	—
397	C₂²×C₁₃	—	2	4	no	—
398	C₂²×C₁₃	—	2	2	no	—
399	C₂²×C₁₃	—	4	8	no	—
400	C₂²×C₁₃	—	4	2	no	—
401	C₂²×C₁₃	—	4	4	no	—
402	C₂²×C₁₃	—	4	2	no	—
403	C₂²×C₁₃	—	4	1	no	—
404	C₂²×C₁₃	—	4	2	no	—
405	C₂²×C₁₃	—	4	1	no	—
406	C₂²×C₁₃	—	4	4	no	—
407	C₂²×C₁₃	—	16	4	no	—
408	C₂²×C₁₃	—	16	2	no	—
409	C₂²×C₁₃	—	16	4	no	—
410	C₂²×C₁₃	#535	1	2	yes	—
411	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
412	C₄×C₁₃	—	2	2	no	—
413	C₄×C₁₃	—	2	4	no	—
414	C₄×C₁₃	—	2	2	no	—
415	C₄×C₁₃	—	2	2	no	—
416	C₄×C₁₃	—	4	4	no	—
417	C₄×C₁₃	—	4	1	no	—
418	C₄×C₁₃	—	4	2	no	—
419	C₄×C₁₃	—	4	1	no	—
420	C₄×C₁₃	#535	1	2	yes	—
421	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
422	2₋¹⁺⁴	—	4	4	no	—
423	H(5,𝔽₂)	—	4	4	no	—
424	C₂×#41	—	2	1	no	—
425	C₂×#41	—	2	2	no	—
426	C₂×#41	—	2	1	no	—
427	C₂×#41	—	2	4	no	—
428	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
429	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
430	C₂×#41	C₂³×C₁₃	1	2	yes	—
431	C₂×#41	C₂³×C₁₃	1	2	yes	—
432	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
433	C₂²×Q₈	—	2	1	no	—
434	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
435	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
436	C₂²×D₄	—	2	2	no	—
437	C₂²×D₄	—	2	1	no	—
438	C₂²×D₄	—	2	2	no	—
439	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
440	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
441	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
442	AGL(1,ℤ/8)	—	4	4	no	—
443	AGL(1,ℤ/8)	—	4	4	no	—
444	C₂×SD₁₆	—	4	4	no	—
445	C₂×SD₁₆	C₂³×C₁₃	1	8	yes	—
446	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
447	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
448	C₂×D₈	—	4	4	no	—
449	C₂×D₈	C₂³×C₁₃	1	8	yes	—
450	C₂×D₈	C₂³×C₁₃	1	4	yes	—
451	C₂×D₈	C₂³×C₁₃	1	4	yes	—
452	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
453	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
454	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
455	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
456	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
457	#127	—	2	2	no	—
458	#127	—	2	2	no	—
459	#127	C₂³×C₁₃	1	2	yes	—
460	#127	C₂³×C₁₃	1	2	yes	—
461	#127	C₂³×C₁₃	1	1	yes	characteristic
462	#127	C₂³×C₁₃	1	2	yes	—
463	#125	C₂³×C₁₃	1	2	yes	—
464	#124	—	2	2	no	—
465	#124	—	2	2	no	—
466	#124	—	2	4	no	—
467	#124	—	2	4	no	—
468	#124	C₂³×C₁₃	1	2	yes	—
469	#124	C₂³×C₁₃	1	2	yes	—
470	#124	C₂³×C₁₃	1	1	yes	characteristic
471	#124	C₂³×C₁₃	1	2	yes	—
472	#124	C₂³×C₁₃	1	2	yes	—
473	#124	C₂³×C₁₃	1	1	yes	characteristic
474	#123	—	2	8	no	—
475	#123	—	2	2	no	—
476	#123	—	2	4	no	—
477	C₂²⋊Q₈	—	2	2	no	—
478	C₂²⋊Q₈	—	2	2	no	—
479	C₂²⋊Q₈	—	2	4	no	—
480	#121	—	2	2	no	—
481	#121	—	2	4	no	—
482	#121	—	2	4	no	—
483	#121	—	2	2	no	—
484	#121	—	2	4	no	—
485	#121	—	2	8	no	—
486	#121	C₂³×C₁₃	1	8	yes	—
487	#120	—	2	4	no	—
488	#120	—	2	2	no	—
489	#120	—	2	4	no	—
490	C₄×Q₈	—	2	2	no	—
491	C₄×Q₈	D₄×C₁₃	1	2	yes	—
492	C₄×D₄	—	2	4	no	—
493	C₄×D₄	—	2	2	no	—
494	C₄×D₄	—	2	4	no	—
495	C₄×D₄	—	2	4	no	—
496	C₄×D₄	D₄×C₁₃	1	4	yes	—
497	C₄×D₄	D₄×C₁₃	1	2	yes	—
498	C₄×D₄	C₂³×C₁₃	1	8	yes	—
499	#117	C₂³×C₁₃	1	2	yes	—
500	#117	C₂³×C₁₃	1	1	yes	characteristic
501	#117	C₂³×C₁₃	1	2	yes	—
502	C₂×C₂²⋊C₄	—	2	2	no	—
503	C₂×C₂²⋊C₄	—	2	4	no	—
504	C₂×C₂²⋊C₄	—	2	4	no	—
505	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
506	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
507	C₄⋊C₈	C₂³×C₁₃	1	8	yes	—
508	#103	C₂³×C₁₃	1	4	yes	—
509	#103	C₂³×C₁₃	1	4	yes	—
510	#103	C₂³×C₁₃	1	8	yes	—
511	#102	C₂³×C₁₃	1	4	yes	—
512	#102	C₂³×C₁₃	1	4	yes	—
513	#102	C₂³×C₁₃	1	8	yes	—
514	C₂²⋊C₈	C₂³×C₁₃	1	8	yes	—
515	#97	C₂³×C₁₃	1	2	yes	—
516	#97	C₂³×C₁₃	1	2	yes	—
517	#97	C₂³×C₁₃	1	2	yes	—
518	C₄×C₈	C₂³×C₁₃	1	2	yes	—
519	C₂×C₁₃	—	2	2	no	—
520	C₂×C₁₃	—	4	2	no	—
521	C₂×C₁₃	—	8	1	no	—
522	C₂×C₁₃	—	8	4	no	—
523	C₂×C₁₃	—	8	2	no	—
524	C₂×C₁₃	—	8	1	no	—
525	C₂×C₁₃	C₂×#535	1	1	yes	characteristic
526	C₂×C₁₃	#3585	1	2	yes	—
527	C₂⁴	—	2	2	no	—
528	C₂⁴	—	2	1	no	—
529	C₂⁴	—	2	2	no	—
530	#41	—	2	4	no	—
531	#41	—	2	4	no	—
532	#41	—	2	4	no	—
533	#41	—	4	4	no	—
534	#41	—	4	4	no	—
535	#41	—	4	8	no	—
536	#41	—	4	4	no	—
537	#41	—	4	4	no	—
538	#41	—	8	8	no	—
539	C₂×Q₈	—	2	2	no	—
540	C₂×Q₈	—	2	2	no	—
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	4	no	—
543	C₂×Q₈	—	4	4	no	—
544	C₂×Q₈	—	4	4	no	—
545	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
546	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
547	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
548	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
549	C₂×D₄	—	2	2	no	—
550	C₂×D₄	—	2	1	no	—
551	C₂×D₄	—	2	2	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	2	8	no	—
554	C₂×D₄	—	2	2	no	—
555	C₂×D₄	—	2	4	no	—
556	C₂×D₄	—	2	2	no	—
557	C₂×D₄	—	2	1	no	—
558	C₂×D₄	—	2	4	no	—
559	C₂×D₄	—	2	2	no	—
560	C₂×D₄	—	2	4	no	—
561	C₂×D₄	—	2	4	no	—
562	C₂×D₄	—	2	4	no	—
563	C₂×D₄	—	2	4	no	—
564	C₂×D₄	—	4	4	no	—
565	C₂×D₄	—	4	8	no	—
566	C₂×D₄	—	4	4	no	—
567	C₂×D₄	—	8	4	no	—
568	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
569	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
570	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
571	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
572	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
573	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	1	no	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	2	no	—
579	C₂²×C₄	—	2	1	no	—
580	C₂²×C₄	—	2	8	no	—
581	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
582	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
583	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
584	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
585	SD₁₆	—	4	8	no	—
586	SD₁₆	—	4	4	no	—
587	SD₁₆	—	4	4	no	—
588	D₈	—	4	8	no	—
589	D₈	—	4	4	no	—
590	D₈	—	4	4	no	—
591	M₁₆	—	2	4	no	—
592	C₂×C₈	—	2	4	no	—
593	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
594	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
595	C₄⋊C₄	—	2	2	no	—
596	C₄⋊C₄	—	2	4	no	—
597	C₄⋊C₄	—	2	2	no	—
598	C₄⋊C₄	—	2	4	no	—
599	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
600	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
601	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
602	C₂²⋊C₄	—	2	2	no	—
603	C₂²⋊C₄	—	2	4	no	—
604	C₂²⋊C₄	—	2	2	no	—
605	C₂²⋊C₄	—	2	8	no	—
606	C₂²⋊C₄	—	2	4	no	—
607	C₂²⋊C₄	—	2	4	no	—
608	C₂²⋊C₄	—	2	4	no	—
609	C₂²⋊C₄	—	2	2	no	—
610	C₂²⋊C₄	—	2	8	no	—
611	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
612	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
613	C₄²	—	2	2	no	—
614	C₄²	C₂×D₄×C₁₃	1	4	yes	—
615	C₄²	C₂×D₄×C₁₃	1	2	yes	—
616	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
617	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
618	C₄²	C₂⁴×C₁₃	1	2	yes	—
619	C₁₃	#60825	1	1	yes	characteristic, direct product factor, Sylow
620	C₂³	—	2	2	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	4	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	4	4	no	—
625	C₂³	—	4	2	no	—
626	C₂³	—	4	4	no	—
627	C₂³	—	8	4	no	—
628	C₂³	—	8	2	no	—
629	C₂³	—	8	4	no	—
630	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
631	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
632	Q₈	—	2	2	no	—
633	Q₈	—	2	4	no	—
634	Q₈	—	2	2	no	—
635	Q₈	—	2	2	no	—
636	Q₈	—	4	4	no	—
637	Q₈	—	4	4	no	—
638	Q₈	—	4	2	no	—
639	D₄	—	2	4	no	—
640	D₄	—	2	2	no	—
641	D₄	—	2	4	no	—
642	D₄	—	2	4	no	—
643	D₄	—	2	2	no	—
644	D₄	—	2	2	no	—
645	D₄	—	2	4	no	—
646	D₄	—	4	4	no	—
647	D₄	—	4	8	no	—
648	D₄	—	4	4	no	—
649	D₄	—	4	4	no	—
650	D₄	—	4	2	no	—
651	D₄	—	4	2	no	—
652	D₄	—	4	2	no	—
653	D₄	—	4	4	no	—
654	D₄	—	8	4	no	—
655	D₄	—	8	4	no	—
656	D₄	—	8	2	no	—
657	D₄	—	8	8	no	—
658	C₂×C₄	—	2	4	no	—
659	C₂×C₄	—	2	4	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	4	2	no	—
664	C₂×C₄	—	4	4	no	—
665	C₂×C₄	—	4	4	no	—
666	C₂×C₄	—	4	4	no	—
667	C₂×C₄	—	4	4	no	—
668	C₂×C₄	—	4	2	no	—
669	C₂×C₄	—	4	2	no	—
670	C₂×C₄	—	4	2	no	—
671	C₂×C₄	—	8	8	no	—
672	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
673	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
674	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
675	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
676	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
677	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
678	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
679	C₈	—	2	4	no	—
680	C₈	—	2	4	no	—
681	C₂²	—	2	2	no	—
682	C₂²	—	2	4	no	—
683	C₂²	—	2	2	no	—
684	C₂²	—	4	8	no	—
685	C₂²	—	4	2	no	—
686	C₂²	—	4	4	no	—
687	C₂²	—	4	2	no	—
688	C₂²	—	4	1	no	—
689	C₂²	—	4	2	no	—
690	C₂²	—	4	1	no	—
691	C₂²	—	4	4	no	—
692	C₂²	—	16	2	no	—
693	C₂²	—	16	4	no	—
694	C₂²	—	16	4	no	—
695	C₂²	C₁₃×#535	1	2	yes	—
696	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
697	C₄	—	2	2	no	—
698	C₄	—	2	4	no	—
699	C₄	—	2	2	no	—
700	C₄	—	2	2	no	—
701	C₄	—	4	4	no	—
702	C₄	—	4	1	no	—
703	C₄	—	4	2	no	—
704	C₄	—	4	1	no	—
705	C₄	C₁₃×#535	1	2	yes	—
706	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
707	C₂	—	2	2	no	—
708	C₂	—	4	2	no	—
709	C₂	—	8	2	no	—
710	C₂	—	8	1	no	—
711	C₂	—	8	4	no	—
712	C₂	—	8	1	no	—
713	C₂	C₂×C₁₃×#535	1	1	yes	characteristic
714	C₂	C₁₃×#3585	1	2	yes	—

	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3508	C₂	semidirect
2. C₁₃×#3500	C₂	semidirect
3. C₁₃×#3221	C₂	semidirect
4. C₁₃×#3220	C₂	semidirect
5. C₁₃×#3214	C₂	semidirect
6. C₁₃×#3213	C₂	semidirect
7. C₁₃×#3151	C₂	semidirect
8. C₂×C₁₃×#496	C₂	semidirect
9. C₁₃×#3140	C₂	semidirect
10. C₁₃×#3135	C₂	semidirect
11. C₁₃×#3042	C₂	semidirect
12. C₁₃×#3041	C₂	semidirect
13. C₁₃×#3010	C₂	semidirect
14. C₁₃×#3008	C₂	semidirect
15. C₁₃×#2923	C₂	semidirect
19. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
20. C₂²×C₁₃×SD₁₆	C₂²	semidirect
28. C₁₃×#540	C₂²	semidirect
30. C₁₃×#536	C₂²	semidirect
33. C₁₃×#535	C₂²	semidirect
34. C₁₃×#533	C₂²	semidirect
36. C₁₃×#532	C₂²	semidirect
37. C₁₃×#532	C₂²	semidirect
38. C₂×C₁₃×#127	C₂²	semidirect
40. C₂×C₁₃×#124	C₂²	semidirect
41. C₁₃×#518	C₂²	semidirect
43. C₁₃×#496	C₂²	semidirect
44. C₁₃×#496	C₂²	semidirect
45. C₁₃×#496	C₂²	semidirect
46. C₁₃×#496	C₂²	semidirect
47. C₁₃×#493	C₂²	semidirect
48. C₁₃×#492	C₂²	semidirect
49. C₁₃×#491	C₂²	semidirect
50. C₁₃×#490	C₂²	semidirect
51. C₁₃×#489	C₂²	semidirect
52. C₁₃×#489	C₂²	semidirect
53. C₁₃×#489	C₂²	semidirect
54. C₁₃×#488	C₂²	semidirect
55. C₁₃×#463	C₂²	semidirect
56. C₁₃×#463	C₂²	semidirect
57. C₁₃×#461	C₂²	semidirect
58. C₁₃×#459	C₂²	semidirect
59. C₁₃×#449	C₂²	semidirect
60. C₁₃×#449	C₂²	semidirect
61. C₁₃×#448	C₂²	semidirect
62. C₁₃×#447	C₂²	semidirect
63. C₁₃×#433	C₂²	semidirect
64. C₁₃×#432	C₂²	semidirect
65. C₁₃×#424	C₂²	semidirect
66. C₁₃×#419	C₂²	semidirect
69. C₁₃×#416	C₂²	semidirect
71. C₄×C₁₃×M₁₆	C₂²	semidirect
72. C₂×C₁₃×#97	C₂²	semidirect
170. #60825	C₁₃	direct (N × H)
263. #3508	C₂×C₁₃	semidirect
264. #3500	C₂×C₁₃	semidirect
265. #3221	C₂×C₁₃	semidirect
266. #3220	C₂×C₁₃	semidirect
267. #3214	C₂×C₁₃	semidirect
268. #3213	C₂×C₁₃	semidirect
269. #3151	C₂×C₁₃	semidirect
270. C₂×#496	C₂×C₁₃	semidirect
271. #3140	C₂×C₁₃	semidirect
272. #3135	C₂×C₁₃	semidirect
273. #3042	C₂×C₁₃	semidirect
274. #3041	C₂×C₁₃	semidirect
275. #3010	C₂×C₁₃	semidirect
276. #3008	C₂×C₁₃	semidirect
277. #2923	C₂×C₁₃	semidirect
342. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
343. C₂²×SD₁₆	C₂²×C₁₃	semidirect
351. #540	C₂²×C₁₃	semidirect
353. #536	C₂²×C₁₃	semidirect
356. #535	C₂²×C₁₃	semidirect
357. #533	C₂²×C₁₃	semidirect
359. #532	C₂²×C₁₃	semidirect
360. #532	C₂²×C₁₃	semidirect
361. C₂×#127	C₂²×C₁₃	semidirect
363. C₂×#124	C₂²×C₁₃	semidirect
364. #518	C₂²×C₁₃	semidirect
366. #496	C₂²×C₁₃	semidirect
367. #496	C₂²×C₁₃	semidirect
368. #496	C₂²×C₁₃	semidirect
369. #496	C₂²×C₁₃	semidirect
370. #493	C₂²×C₁₃	semidirect
371. #492	C₂²×C₁₃	semidirect
372. #491	C₂²×C₁₃	semidirect
373. #490	C₂²×C₁₃	semidirect
374. #489	C₂²×C₁₃	semidirect
375. #489	C₂²×C₁₃	semidirect
376. #489	C₂²×C₁₃	semidirect
377. #488	C₂²×C₁₃	semidirect
378. #463	C₂²×C₁₃	semidirect
379. #463	C₂²×C₁₃	semidirect
380. #461	C₂²×C₁₃	semidirect
381. #459	C₂²×C₁₃	semidirect
382. #449	C₂²×C₁₃	semidirect
383. #449	C₂²×C₁₃	semidirect
384. #448	C₂²×C₁₃	semidirect
385. #447	C₂²×C₁₃	semidirect
386. #433	C₂²×C₁₃	semidirect
387. #432	C₂²×C₁₃	semidirect
388. #424	C₂²×C₁₃	semidirect
389. #419	C₂²×C₁₃	semidirect
392. #416	C₂²×C₁₃	semidirect
394. C₄×M₁₆	C₂²×C₁₃	semidirect
395. C₂×#97	C₂²×C₁₃	semidirect
619. C₁₃	#60825	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×#3508	2
C₁₃×#3500	2
C₁₃×#3221	2
C₁₃×#3220	2
C₁₃×#3214	2
C₁₃×#3213	2
C₁₃×#3151	2
C₂×C₁₃×#496	2
C₁₃×#3140	2
C₁₃×#3135	2
C₁₃×#3042	2
C₁₃×#3041	2
C₁₃×#3010	2
C₁₃×#3008	2
C₁₃×#2923	2
#60825	13

Subgroups — C13×#60825 #15747164

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60825 #15747164