Subgroups — C₁₃×#24795 #15711134

Order 3328.

1006 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	C₂×C₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#436	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₃×#428	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2417	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2414	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#2068	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2065	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2035	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2033	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1968	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1942	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1874	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1873	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1809	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₁₃×#468	—	2	4	no	—
27	C₁₃×#468	—	2	4	no	—
28	C₁₃×#436	—	2	4	no	—
29	C₁₃×#428	—	2	4	no	—
30	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#398	—	2	1	no	—
46	C₁₃×#396	—	2	1	no	—
47	C₁₃×#394	—	2	1	no	—
48	C₁₃×#392	—	2	1	no	—
49	C₁₃×#391	C₂²	1	1	yes	characteristic
50	C₁₃×#390	—	2	1	no	—
51	C₁₃×#390	C₂²	1	1	yes	characteristic
52	C₁₃×#389	C₂²	1	1	yes	characteristic
53	C₁₃×#389	C₂²	1	1	yes	characteristic
54	C₁₃×#388	—	2	1	no	—
55	C₁₃×#386	—	2	1	no	—
56	C₁₃×#380	—	2	1	no	—
57	C₁₃×#380	C₂²	1	1	yes	characteristic
58	C₁₃×#380	C₂²	1	1	yes	characteristic
59	C₁₃×#340	C₂²	1	1	yes	characteristic
60	C₁₃×#340	C₂²	1	1	yes	characteristic
61	C₁₃×#340	C₂²	1	1	yes	characteristic
62	C₁₃×#340	C₂²	1	1	yes	characteristic
63	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
64	C₂²×D₄×C₁₃	—	2	1	no	—
65	C₂²×D₄×C₁₃	—	2	1	no	—
66	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
67	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
68	C₂³×C₄×C₁₃	—	2	1	no	—
69	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
70	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
71	C₂×C₁₃×SD₁₆	—	2	2	no	—
72	C₂×C₁₃×SD₁₆	—	2	2	no	—
73	C₂×C₁₃×SD₁₆	—	2	2	no	—
74	C₂×C₁₃×M₁₆	—	2	2	no	—
75	C₂×C₁₃×M₁₆	—	2	2	no	—
76	C₂×C₁₃×M₁₆	—	2	2	no	—
77	C₂×C₁₃×M₁₆	—	2	2	no	—
78	C₂×C₁₃×M₁₆	—	2	2	no	—
79	C₂×C₁₃×M₁₆	D₄	1	4	yes	complemented
80	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
82	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
83	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
84	C₁₃×C₂²⋊Q₈	—	2	2	no	—
85	C₁₃×C₂²⋊Q₈	—	2	2	no	—
86	C₁₃×C₂²⋊Q₈	—	2	2	no	—
87	C₁₃×C₂²⋊Q₈	—	4	1	no	—
88	C₁₃×#121	—	2	2	no	—
89	C₁₃×#121	—	2	2	no	—
90	C₁₃×#121	—	2	2	no	—
91	C₁₃×#121	—	4	1	no	—
92	C₄×D₄×C₁₃	—	2	2	no	—
93	C₄×D₄×C₁₃	—	2	2	no	—
94	C₁₃×#117	—	2	2	no	—
95	C₁₃×#117	—	4	1	no	—
96	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
97	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
98	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
99	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
100	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
101	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
102	C₂×C₁₃×C₄⋊C₄	—	4	1	no	—
103	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
104	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
105	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
106	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
107	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
108	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
109	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
110	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
111	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
112	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
113	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
114	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
115	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
116	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
117	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
118	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
119	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
120	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
121	C₂×C₄²×C₁₃	—	2	1	no	—
122	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
123	C₁₃×#107	—	2	2	no	—
124	C₁₃×#107	—	2	2	no	—
125	C₁₃×#107	D₄	1	4	yes	complemented
126	C₁₃×#106	—	2	2	no	—
127	C₁₃×#106	—	2	2	no	—
128	C₁₃×C₄⋊C₈	—	2	2	no	—
129	C₁₃×#103	—	2	2	no	—
130	C₁₃×#103	—	2	2	no	—
131	C₁₃×#103	—	4	1	no	—
132	C₁₃×#102	—	2	2	no	—
133	C₁₃×#102	—	2	2	no	—
134	C₁₃×#102	—	4	1	no	—
135	C₁₃×C₂²⋊C₈	—	2	2	no	—
136	C₁₃×C₂²⋊C₈	—	2	2	no	—
137	C₄×C₈×C₁₃	—	2	2	no	—
138	C₁₃×#95	—	2	1	no	—
139	C₁₃×#95	—	2	1	no	—
140	C₁₃×#95	—	2	1	no	—
141	C₁₃×#95	—	2	1	no	—
142	C₁₃×#95	—	2	1	no	—
143	C₁₃×#95	—	2	1	no	—
144	#24795	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
145	C₂⁴×C₁₃	—	2	1	no	—
146	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
147	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
148	C₂×Q₈×C₁₃	—	2	1	no	—
149	C₂×Q₈×C₁₃	—	2	1	no	—
150	C₂×Q₈×C₁₃	—	2	1	no	—
151	C₂×Q₈×C₁₃	—	2	1	no	—
152	C₂×Q₈×C₁₃	—	2	1	no	—
153	C₂×Q₈×C₁₃	—	2	1	no	—
154	C₂×D₄×C₁₃	—	2	2	no	—
155	C₂×D₄×C₁₃	—	2	2	no	—
156	C₂×D₄×C₁₃	—	2	1	no	—
157	C₂×D₄×C₁₃	—	2	1	no	—
158	C₂×D₄×C₁₃	—	2	1	no	—
159	C₂×D₄×C₁₃	—	2	1	no	—
160	C₂×D₄×C₁₃	—	2	1	no	—
161	C₂×D₄×C₁₃	—	2	1	no	—
162	C₂×D₄×C₁₃	—	4	1	no	—
163	C₂×D₄×C₁₃	—	4	2	no	—
164	C₂×D₄×C₁₃	—	4	2	no	—
165	C₂×D₄×C₁₃	—	4	2	no	—
166	C₂×D₄×C₁₃	—	8	1	no	—
167	C₂×D₄×C₁₃	—	8	1	no	—
168	C₂×D₄×C₁₃	—	8	1	no	—
169	C₂²×C₄×C₁₃	—	2	1	no	—
170	C₂²×C₄×C₁₃	—	2	1	no	—
171	C₂²×C₄×C₁₃	—	2	1	no	—
172	C₂²×C₄×C₁₃	—	2	1	no	—
173	C₂²×C₄×C₁₃	—	2	1	no	—
174	C₂²×C₄×C₁₃	—	2	1	no	—
175	C₂²×C₄×C₁₃	—	2	1	no	—
176	C₂²×C₄×C₁₃	—	2	1	no	—
177	C₂²×C₄×C₁₃	—	2	1	no	—
178	C₂²×C₄×C₁₃	—	2	1	no	—
179	C₂²×C₄×C₁₃	—	2	1	no	—
180	C₂²×C₄×C₁₃	—	2	1	no	—
181	C₂²×C₄×C₁₃	—	2	1	no	—
182	C₂²×C₄×C₁₃	—	2	1	no	—
183	C₂²×C₄×C₁₃	—	2	1	no	—
184	C₂²×C₄×C₁₃	—	2	1	no	—
185	C₂²×C₄×C₁₃	—	2	1	no	—
186	C₂²×C₄×C₁₃	—	4	2	no	—
187	C₂²×C₄×C₁₃	—	4	2	no	—
188	C₂²×C₄×C₁₃	—	8	1	no	—
189	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
190	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
191	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
192	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
193	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
194	C₂²×C₄×C₁₃	#41	1	2	yes	—
195	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
196	C₁₃×SD₁₆	—	4	4	no	—
197	C₁₃×M₁₆	—	2	8	no	—
198	C₁₃×M₁₆	—	4	4	no	—
199	C₂×C₈×C₁₃	—	2	1	no	—
200	C₂×C₈×C₁₃	—	2	1	no	—
201	C₂×C₈×C₁₃	—	2	1	no	—
202	C₂×C₈×C₁₃	—	2	1	no	—
203	C₂×C₈×C₁₃	—	2	1	no	—
204	C₂×C₈×C₁₃	—	2	1	no	—
205	C₂×C₈×C₁₃	—	2	1	no	—
206	C₂×C₈×C₁₃	—	2	1	no	—
207	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
208	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
209	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
210	C₂×C₈×C₁₃	#41	1	2	yes	—
211	C₁₃×C₄⋊C₄	—	2	2	no	—
212	C₁₃×C₄⋊C₄	—	2	1	no	—
213	C₁₃×C₄⋊C₄	—	2	1	no	—
214	C₁₃×C₄⋊C₄	—	2	1	no	—
215	C₁₃×C₄⋊C₄	—	2	1	no	—
216	C₁₃×C₄⋊C₄	—	2	1	no	—
217	C₁₃×C₄⋊C₄	—	2	1	no	—
218	C₁₃×C₄⋊C₄	—	2	1	no	—
219	C₁₃×C₄⋊C₄	—	2	1	no	—
220	C₁₃×C₄⋊C₄	—	2	1	no	—
221	C₁₃×C₄⋊C₄	—	2	1	no	—
222	C₁₃×C₄⋊C₄	—	4	2	no	—
223	C₁₃×C₄⋊C₄	—	4	2	no	—
224	C₁₃×C₄⋊C₄	—	4	2	no	—
225	C₁₃×C₄⋊C₄	—	8	1	no	—
226	C₁₃×C₄⋊C₄	—	8	1	no	—
227	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
228	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
229	C₁₃×C₂²⋊C₄	—	2	2	no	—
230	C₁₃×C₂²⋊C₄	—	2	2	no	—
231	C₁₃×C₂²⋊C₄	—	4	2	no	—
232	C₁₃×C₂²⋊C₄	—	4	2	no	—
233	C₁₃×C₂²⋊C₄	—	4	2	no	—
234	C₁₃×C₂²⋊C₄	—	4	2	no	—
235	C₁₃×C₂²⋊C₄	—	4	2	no	—
236	C₁₃×C₂²⋊C₄	—	4	2	no	—
237	C₁₃×C₂²⋊C₄	—	8	1	no	—
238	C₁₃×C₂²⋊C₄	—	8	1	no	—
239	C₁₃×C₂²⋊C₄	—	8	1	no	—
240	C₄²×C₁₃	—	2	1	no	—
241	C₄²×C₁₃	—	2	1	no	—
242	C₄²×C₁₃	—	4	2	no	—
243	C₂×#468	C₂×C₁₃	1	1	yes	characteristic, complemented
244	C₂×#468	C₂×C₁₃	1	1	yes	characteristic, complemented
245	C₂×#436	C₂×C₁₃	1	1	yes	characteristic, complemented
246	C₂×#428	C₂×C₁₃	1	1	yes	characteristic, complemented
247	#2417	C₂×C₁₃	1	1	yes	characteristic, complemented
248	#2414	C₂×C₁₃	1	1	yes	characteristic
249	#2068	C₂×C₁₃	1	1	yes	characteristic, complemented
250	#2065	C₂×C₁₃	1	1	yes	characteristic, complemented
251	#2035	C₂×C₁₃	1	1	yes	characteristic, complemented
252	#2033	C₂×C₁₃	1	1	yes	characteristic, complemented
253	#1968	C₂×C₁₃	1	1	yes	characteristic, complemented
254	#1942	C₂×C₁₃	1	1	yes	characteristic, complemented
255	#1874	C₂×C₁₃	1	1	yes	characteristic, complemented
256	#1873	C₂×C₁₃	1	1	yes	characteristic, complemented
257	#1809	C₂×C₁₃	1	1	yes	characteristic, complemented
258	C₂³×C₁₃	—	2	1	no	—
259	C₂³×C₁₃	—	2	1	no	—
260	C₂³×C₁₃	—	2	1	no	—
261	C₂³×C₁₃	—	2	1	no	—
262	C₂³×C₁₃	—	2	1	no	—
263	C₂³×C₁₃	—	2	1	no	—
264	C₂³×C₁₃	—	2	1	no	—
265	C₂³×C₁₃	—	2	1	no	—
266	C₂³×C₁₃	—	2	1	no	—
267	C₂³×C₁₃	—	2	1	no	—
268	C₂³×C₁₃	—	2	1	no	—
269	C₂³×C₁₃	—	2	1	no	—
270	C₂³×C₁₃	—	2	1	no	—
271	C₂³×C₁₃	—	4	1	no	—
272	C₂³×C₁₃	—	4	1	no	—
273	C₂³×C₁₃	—	4	1	no	—
274	C₂³×C₁₃	—	4	1	no	—
275	C₂³×C₁₃	—	4	1	no	—
276	C₂³×C₁₃	—	4	1	no	—
277	C₂³×C₁₃	—	4	1	no	—
278	C₂³×C₁₃	#121	1	2	yes	—
279	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
280	Q₈×C₁₃	—	4	1	no	—
281	Q₈×C₁₃	—	4	1	no	—
282	Q₈×C₁₃	—	4	1	no	—
283	Q₈×C₁₃	—	4	1	no	—
284	D₄×C₁₃	—	4	4	no	—
285	D₄×C₁₃	—	4	1	no	—
286	D₄×C₁₃	—	4	1	no	—
287	D₄×C₁₃	—	4	1	no	—
288	D₄×C₁₃	—	4	1	no	—
289	D₄×C₁₃	—	8	4	no	—
290	D₄×C₁₃	—	8	4	no	—
291	C₂×C₄×C₁₃	—	2	1	no	—
292	C₂×C₄×C₁₃	—	2	1	no	—
293	C₂×C₄×C₁₃	—	2	1	no	—
294	C₂×C₄×C₁₃	—	2	1	no	—
295	C₂×C₄×C₁₃	—	2	2	no	—
296	C₂×C₄×C₁₃	—	2	2	no	—
297	C₂×C₄×C₁₃	—	2	2	no	—
298	C₂×C₄×C₁₃	—	2	2	no	—
299	C₂×C₄×C₁₃	—	2	1	no	—
300	C₂×C₄×C₁₃	—	2	1	no	—
301	C₂×C₄×C₁₃	—	2	2	no	—
302	C₂×C₄×C₁₃	—	2	1	no	—
303	C₂×C₄×C₁₃	—	2	2	no	—
304	C₂×C₄×C₁₃	—	2	1	no	—
305	C₂×C₄×C₁₃	—	2	1	no	—
306	C₂×C₄×C₁₃	—	2	1	no	—
307	C₂×C₄×C₁₃	—	4	1	no	—
308	C₂×C₄×C₁₃	—	4	1	no	—
309	C₂×C₄×C₁₃	—	4	1	no	—
310	C₂×C₄×C₁₃	—	4	1	no	—
311	C₂×C₄×C₁₃	—	4	1	no	—
312	C₂×C₄×C₁₃	—	4	1	no	—
313	C₂×C₄×C₁₃	—	4	1	no	—
314	C₂×C₄×C₁₃	—	4	1	no	—
315	C₂×C₄×C₁₃	—	4	1	no	—
316	C₂×C₄×C₁₃	—	4	1	no	—
317	C₂×C₄×C₁₃	—	4	1	no	—
318	C₂×C₄×C₁₃	—	4	1	no	—
319	C₂×C₄×C₁₃	—	4	1	no	—
320	C₂×C₄×C₁₃	—	4	1	no	—
321	C₂×C₄×C₁₃	—	4	1	no	—
322	C₂×C₄×C₁₃	—	4	1	no	—
323	C₂×C₄×C₁₃	—	4	1	no	—
324	C₂×C₄×C₁₃	—	4	1	no	—
325	C₂×C₄×C₁₃	—	4	1	no	—
326	C₂×C₄×C₁₃	—	4	1	no	—
327	C₂×C₄×C₁₃	—	4	1	no	—
328	C₂×C₄×C₁₃	—	4	1	no	—
329	C₂×C₄×C₁₃	—	4	1	no	—
330	C₂×C₄×C₁₃	—	8	4	no	—
331	C₂×C₄×C₁₃	#121	1	2	yes	—
332	C₂×C₄×C₁₃	#137	1	2	yes	—
333	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
334	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
335	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
336	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
337	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
338	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
339	C₈×C₁₃	—	2	2	no	—
340	C₈×C₁₃	—	4	1	no	—
341	C₈×C₁₃	—	4	1	no	—
342	C₈×C₁₃	#121	1	4	yes	—
343	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
344	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
345	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
346	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
347	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
348	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
349	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
350	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
351	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
352	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
353	#468	—	2	4	no	—
354	#468	—	2	4	no	—
355	#436	—	2	4	no	—
356	#428	—	2	4	no	—
357	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
358	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
359	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
360	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
361	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
362	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
363	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
364	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
365	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
366	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
367	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
368	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
369	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
370	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
371	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
372	#398	—	2	1	no	—
373	#396	—	2	1	no	—
374	#394	—	2	1	no	—
375	#392	—	2	1	no	—
376	#391	C₂²×C₁₃	1	1	yes	characteristic
377	#390	—	2	1	no	—
378	#390	C₂²×C₁₃	1	1	yes	characteristic
379	#389	C₂²×C₁₃	1	1	yes	characteristic
380	#389	C₂²×C₁₃	1	1	yes	characteristic
381	#388	—	2	1	no	—
382	#386	—	2	1	no	—
383	#380	—	2	1	no	—
384	#380	C₂²×C₁₃	1	1	yes	characteristic
385	#380	C₂²×C₁₃	1	1	yes	characteristic
386	#340	C₂²×C₁₃	1	1	yes	characteristic
387	#340	C₂²×C₁₃	1	1	yes	characteristic
388	#340	C₂²×C₁₃	1	1	yes	characteristic
389	#340	C₂²×C₁₃	1	1	yes	characteristic
390	C₂²×C₁₃	—	2	2	no	—
391	C₂²×C₁₃	—	2	2	no	—
392	C₂²×C₁₃	—	2	2	no	—
393	C₂²×C₁₃	—	4	1	no	—
394	C₂²×C₁₃	—	4	1	no	—
395	C₂²×C₁₃	—	4	1	no	—
396	C₂²×C₁₃	—	4	1	no	—
397	C₂²×C₁₃	—	4	1	no	—
398	C₂²×C₁₃	—	4	1	no	—
399	C₂²×C₁₃	—	4	1	no	—
400	C₂²×C₁₃	—	4	1	no	—
401	C₂²×C₁₃	—	4	1	no	—
402	C₂²×C₁₃	—	4	1	no	—
403	C₂²×C₁₃	—	4	1	no	—
404	C₂²×C₁₃	—	8	1	no	—
405	C₂²×C₁₃	—	8	1	no	—
406	C₂²×C₁₃	—	8	1	no	—
407	C₂²×C₁₃	—	8	1	no	—
408	C₂²×C₁₃	—	8	1	no	—
409	C₂²×C₁₃	—	8	1	no	—
410	C₂²×C₁₃	—	8	1	no	—
411	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
412	C₂²×C₁₃	D₄²	1	1	yes	characteristic
413	C₂²×C₁₃	#547	1	1	yes	characteristic
414	C₂²×C₁₃	C₂×#137	1	1	yes	characteristic
415	C₂²×C₁₃	#575	1	1	yes	characteristic
416	C₂²×C₁₃	#576	1	1	yes	characteristic
417	C₂²×C₁₃	#577	1	1	yes	characteristic
418	C₄×C₁₃	—	2	2	no	—
419	C₄×C₁₃	—	2	2	no	—
420	C₄×C₁₃	—	4	1	no	—
421	C₄×C₁₃	—	4	2	no	—
422	C₄×C₁₃	—	4	2	no	—
423	C₄×C₁₃	—	4	1	no	—
424	C₄×C₁₃	—	8	1	no	—
425	C₄×C₁₃	—	8	1	no	—
426	C₄×C₁₃	—	8	1	no	—
427	C₄×C₁₃	—	8	1	no	—
428	C₄×C₁₃	—	8	1	no	—
429	C₄×C₁₃	C₂×#121	1	1	yes	characteristic
430	C₄×C₁₃	#537	1	1	yes	characteristic
431	C₄×C₁₃	#548	1	1	yes	characteristic
432	C₄×C₁₃	#553	1	1	yes	characteristic
433	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
434	C₂²×D₄	—	2	1	no	—
435	C₂²×D₄	—	2	1	no	—
436	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
437	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
438	C₂³×C₄	—	2	1	no	—
439	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
440	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
441	C₂×SD₁₆	—	2	2	no	—
442	C₂×SD₁₆	—	2	2	no	—
443	C₂×SD₁₆	—	2	2	no	—
444	C₂×M₁₆	—	2	2	no	—
445	C₂×M₁₆	—	2	2	no	—
446	C₂×M₁₆	—	2	2	no	—
447	C₂×M₁₆	—	2	2	no	—
448	C₂×M₁₆	—	2	2	no	—
449	C₂×M₁₆	D₄×C₁₃	1	4	yes	complemented
450	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
451	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
452	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
453	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
454	C₂²⋊Q₈	—	2	2	no	—
455	C₂²⋊Q₈	—	2	2	no	—
456	C₂²⋊Q₈	—	2	2	no	—
457	C₂²⋊Q₈	—	4	1	no	—
458	#121	—	2	2	no	—
459	#121	—	2	2	no	—
460	#121	—	2	2	no	—
461	#121	—	4	1	no	—
462	C₄×D₄	—	2	2	no	—
463	C₄×D₄	—	2	2	no	—
464	#117	—	2	2	no	—
465	#117	—	4	1	no	—
466	C₂×C₄⋊C₄	—	2	2	no	—
467	C₂×C₄⋊C₄	—	2	1	no	—
468	C₂×C₄⋊C₄	—	2	1	no	—
469	C₂×C₄⋊C₄	—	2	1	no	—
470	C₂×C₄⋊C₄	—	2	1	no	—
471	C₂×C₄⋊C₄	—	2	1	no	—
472	C₂×C₄⋊C₄	—	4	1	no	—
473	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
474	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
475	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
476	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
477	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
478	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
479	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
480	C₂×C₂²⋊C₄	—	2	1	no	—
481	C₂×C₂²⋊C₄	—	2	1	no	—
482	C₂×C₂²⋊C₄	—	2	1	no	—
483	C₂×C₂²⋊C₄	—	2	1	no	—
484	C₂×C₂²⋊C₄	—	2	1	no	—
485	C₂×C₂²⋊C₄	—	2	1	no	—
486	C₂×C₂²⋊C₄	—	2	1	no	—
487	C₂×C₂²⋊C₄	—	2	1	no	—
488	C₂×C₂²⋊C₄	—	2	1	no	—
489	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
490	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
491	C₂×C₄²	—	2	1	no	—
492	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
493	#107	—	2	2	no	—
494	#107	—	2	2	no	—
495	#107	D₄×C₁₃	1	4	yes	complemented
496	#106	—	2	2	no	—
497	#106	—	2	2	no	—
498	C₄⋊C₈	—	2	2	no	—
499	#103	—	2	2	no	—
500	#103	—	2	2	no	—
501	#103	—	4	1	no	—
502	#102	—	2	2	no	—
503	#102	—	2	2	no	—
504	#102	—	4	1	no	—
505	C₂²⋊C₈	—	2	2	no	—
506	C₂²⋊C₈	—	2	2	no	—
507	C₄×C₈	—	2	2	no	—
508	#95	—	2	1	no	—
509	#95	—	2	1	no	—
510	#95	—	2	1	no	—
511	#95	—	2	1	no	—
512	#95	—	2	1	no	—
513	#95	—	2	1	no	—
514	C₂×C₁₃	—	4	2	no	—
515	C₂×C₁₃	—	8	1	no	—
516	C₂×C₁₃	—	16	1	no	—
517	C₂×C₁₃	#2416	1	1	yes	characteristic
518	C₂×C₁₃	#3056	1	1	yes	characteristic
519	C₂×C₁₃	#3062	1	1	yes	characteristic
520	C₂×C₁₃	#3273	1	1	yes	characteristic
521	C₂×C₁₃	#3278	1	1	yes	characteristic
522	C₂×C₁₃	#3351	1	1	yes	characteristic
523	C₂×C₁₃	#3357	1	1	yes	characteristic
524	C₂⁴	—	2	1	no	—
525	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
526	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
527	C₂×Q₈	—	2	1	no	—
528	C₂×Q₈	—	2	1	no	—
529	C₂×Q₈	—	2	1	no	—
530	C₂×Q₈	—	2	1	no	—
531	C₂×Q₈	—	2	1	no	—
532	C₂×Q₈	—	2	1	no	—
533	C₂×D₄	—	2	2	no	—
534	C₂×D₄	—	2	2	no	—
535	C₂×D₄	—	2	1	no	—
536	C₂×D₄	—	2	1	no	—
537	C₂×D₄	—	2	1	no	—
538	C₂×D₄	—	2	1	no	—
539	C₂×D₄	—	2	1	no	—
540	C₂×D₄	—	2	1	no	—
541	C₂×D₄	—	4	1	no	—
542	C₂×D₄	—	4	2	no	—
543	C₂×D₄	—	4	2	no	—
544	C₂×D₄	—	4	2	no	—
545	C₂×D₄	—	8	1	no	—
546	C₂×D₄	—	8	1	no	—
547	C₂×D₄	—	8	1	no	—
548	C₂²×C₄	—	2	1	no	—
549	C₂²×C₄	—	2	1	no	—
550	C₂²×C₄	—	2	1	no	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	2	1	no	—
557	C₂²×C₄	—	2	1	no	—
558	C₂²×C₄	—	2	1	no	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	2	1	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	4	2	no	—
566	C₂²×C₄	—	4	2	no	—
567	C₂²×C₄	—	8	1	no	—
568	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
569	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
570	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
571	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
572	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
573	C₂²×C₄	C₁₃×#41	1	2	yes	—
574	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
575	SD₁₆	—	4	4	no	—
576	M₁₆	—	2	8	no	—
577	M₁₆	—	4	4	no	—
578	C₂×C₈	—	2	1	no	—
579	C₂×C₈	—	2	1	no	—
580	C₂×C₈	—	2	1	no	—
581	C₂×C₈	—	2	1	no	—
582	C₂×C₈	—	2	1	no	—
583	C₂×C₈	—	2	1	no	—
584	C₂×C₈	—	2	1	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
587	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
588	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
589	C₂×C₈	C₁₃×#41	1	2	yes	—
590	C₄⋊C₄	—	2	2	no	—
591	C₄⋊C₄	—	2	1	no	—
592	C₄⋊C₄	—	2	1	no	—
593	C₄⋊C₄	—	2	1	no	—
594	C₄⋊C₄	—	2	1	no	—
595	C₄⋊C₄	—	2	1	no	—
596	C₄⋊C₄	—	2	1	no	—
597	C₄⋊C₄	—	2	1	no	—
598	C₄⋊C₄	—	2	1	no	—
599	C₄⋊C₄	—	2	1	no	—
600	C₄⋊C₄	—	2	1	no	—
601	C₄⋊C₄	—	4	2	no	—
602	C₄⋊C₄	—	4	2	no	—
603	C₄⋊C₄	—	4	2	no	—
604	C₄⋊C₄	—	8	1	no	—
605	C₄⋊C₄	—	8	1	no	—
606	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
607	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
608	C₂²⋊C₄	—	2	2	no	—
609	C₂²⋊C₄	—	2	2	no	—
610	C₂²⋊C₄	—	4	2	no	—
611	C₂²⋊C₄	—	4	2	no	—
612	C₂²⋊C₄	—	4	2	no	—
613	C₂²⋊C₄	—	4	2	no	—
614	C₂²⋊C₄	—	4	2	no	—
615	C₂²⋊C₄	—	4	2	no	—
616	C₂²⋊C₄	—	8	1	no	—
617	C₂²⋊C₄	—	8	1	no	—
618	C₂²⋊C₄	—	8	1	no	—
619	C₄²	—	2	1	no	—
620	C₄²	—	2	1	no	—
621	C₄²	—	4	2	no	—
622	C₁₃	#24795	1	1	yes	characteristic, direct product factor, Sylow
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	4	1	no	—
637	C₂³	—	4	1	no	—
638	C₂³	—	4	1	no	—
639	C₂³	—	4	1	no	—
640	C₂³	—	4	1	no	—
641	C₂³	—	4	1	no	—
642	C₂³	—	4	1	no	—
643	C₂³	C₁₃×#121	1	2	yes	—
644	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
645	Q₈	—	4	1	no	—
646	Q₈	—	4	1	no	—
647	Q₈	—	4	1	no	—
648	Q₈	—	4	1	no	—
649	D₄	—	4	4	no	—
650	D₄	—	4	1	no	—
651	D₄	—	4	1	no	—
652	D₄	—	4	1	no	—
653	D₄	—	4	1	no	—
654	D₄	—	8	4	no	—
655	D₄	—	8	4	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	2	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	1	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	1	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	1	no	—
674	C₂×C₄	—	4	1	no	—
675	C₂×C₄	—	4	1	no	—
676	C₂×C₄	—	4	1	no	—
677	C₂×C₄	—	4	1	no	—
678	C₂×C₄	—	4	1	no	—
679	C₂×C₄	—	4	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	4	1	no	—
682	C₂×C₄	—	4	1	no	—
683	C₂×C₄	—	4	1	no	—
684	C₂×C₄	—	4	1	no	—
685	C₂×C₄	—	4	1	no	—
686	C₂×C₄	—	4	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	4	1	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	8	4	no	—
696	C₂×C₄	C₁₃×#121	1	2	yes	—
697	C₂×C₄	C₁₃×#137	1	2	yes	—
698	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
699	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
700	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
701	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
702	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
703	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
704	C₈	—	2	2	no	—
705	C₈	—	4	1	no	—
706	C₈	—	4	1	no	—
707	C₈	C₁₃×#121	1	4	yes	—
708	C₂²	—	2	2	no	—
709	C₂²	—	2	2	no	—
710	C₂²	—	2	2	no	—
711	C₂²	—	4	1	no	—
712	C₂²	—	4	1	no	—
713	C₂²	—	4	1	no	—
714	C₂²	—	4	1	no	—
715	C₂²	—	4	1	no	—
716	C₂²	—	4	1	no	—
717	C₂²	—	4	1	no	—
718	C₂²	—	4	1	no	—
719	C₂²	—	4	1	no	—
720	C₂²	—	4	1	no	—
721	C₂²	—	4	1	no	—
722	C₂²	—	8	1	no	—
723	C₂²	—	8	1	no	—
724	C₂²	—	8	1	no	—
725	C₂²	—	8	1	no	—
726	C₂²	—	8	1	no	—
727	C₂²	—	8	1	no	—
728	C₂²	—	8	1	no	—
729	C₂²	C₂×C₁₃×#121	1	1	yes	characteristic
730	C₂²	D₄²×C₁₃	1	1	yes	characteristic
731	C₂²	C₁₃×#547	1	1	yes	characteristic
732	C₂²	C₂×C₁₃×#137	1	1	yes	characteristic
733	C₂²	C₁₃×#575	1	1	yes	characteristic
734	C₂²	C₁₃×#576	1	1	yes	characteristic
735	C₂²	C₁₃×#577	1	1	yes	characteristic
736	C₄	—	2	2	no	—
737	C₄	—	2	2	no	—
738	C₄	—	4	2	no	—
739	C₄	—	4	2	no	—
740	C₄	—	4	1	no	—
741	C₄	—	4	1	no	—
742	C₄	—	8	1	no	—
743	C₄	—	8	1	no	—
744	C₄	—	8	1	no	—
745	C₄	—	8	1	no	—
746	C₄	—	8	1	no	—
747	C₄	C₂×C₁₃×#121	1	1	yes	characteristic
748	C₄	C₁₃×#537	1	1	yes	characteristic
749	C₄	C₁₃×#548	1	1	yes	characteristic
750	C₄	C₁₃×#553	1	1	yes	characteristic
751	C₂	—	4	2	no	—
752	C₂	—	8	1	no	—
753	C₂	—	16	1	no	—
754	C₂	C₁₃×#2416	1	1	yes	characteristic
755	C₂	C₁₃×#3056	1	1	yes	characteristic
756	C₂	C₁₃×#3062	1	1	yes	characteristic
757	C₂	C₁₃×#3273	1	1	yes	characteristic
758	C₂	C₁₃×#3278	1	1	yes	characteristic
759	C₂	C₁₃×#3351	1	1	yes	characteristic
760	C₂	C₁₃×#3357	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₁₃×#2414	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#468	C₂	semidirect
2. C₂×C₁₃×#468	C₂	semidirect
3. C₂×C₁₃×#436	C₂	semidirect
4. C₂×C₁₃×#428	C₂	semidirect
5. C₁₃×#2417	C₂	semidirect
7. C₁₃×#2068	C₂	semidirect
8. C₁₃×#2065	C₂	semidirect
9. C₁₃×#2035	C₂	semidirect
10. C₁₃×#2033	C₂	semidirect
11. C₁₃×#1968	C₂	semidirect
12. C₁₃×#1942	C₂	semidirect
13. C₁₃×#1874	C₂	semidirect
14. C₁₃×#1873	C₂	semidirect
15. C₁₃×#1809	C₂	semidirect
79. C₂×C₁₃×M₁₆	D₄	semidirect
125. C₁₃×#107	D₄	semidirect
144. #24795	C₁₃	direct (N × H)
243. C₂×#468	C₂×C₁₃	semidirect
244. C₂×#468	C₂×C₁₃	semidirect
245. C₂×#436	C₂×C₁₃	semidirect
246. C₂×#428	C₂×C₁₃	semidirect
247. #2417	C₂×C₁₃	semidirect
249. #2068	C₂×C₁₃	semidirect
250. #2065	C₂×C₁₃	semidirect
251. #2035	C₂×C₁₃	semidirect
252. #2033	C₂×C₁₃	semidirect
253. #1968	C₂×C₁₃	semidirect
254. #1942	C₂×C₁₃	semidirect
255. #1874	C₂×C₁₃	semidirect
256. #1873	C₂×C₁₃	semidirect
257. #1809	C₂×C₁₃	semidirect
449. C₂×M₁₆	D₄×C₁₃	semidirect
495. #107	D₄×C₁₃	semidirect
622. C₁₃	#24795	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₃×#468	2
C₂×C₁₃×#436	2
C₂×C₁₃×#428	2
C₁₃×#2417	2
C₁₃×#2414	2
C₁₃×#2068	2
C₁₃×#2065	2
C₁₃×#2035	2
C₁₃×#2033	2
C₁₃×#1968	2
C₁₃×#1942	2
C₁₃×#1874	2
C₁₃×#1873	2
C₁₃×#1809	2
#24795	13

Subgroups — C13×#24795 #15711134

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#24795 #15711134