Subgroups — C₂×C₁₃×#3265 #15747362

Order 3328.

3226 conjugacy classes of subgroups.

The subgroup lattice has 956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄²×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3265	C₂	1	16	yes	maximal, direct product factor
6	C₂×C₁₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#466	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#460	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
18	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
19	C₂³×D₄×C₁₃	—	2	1	no	—
20	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
21	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
23	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	8	yes	complemented
24	C₂²×C₁₃×SD₁₆	—	2	8	no	—
25	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
27	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
28	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₂²×C₁₃×SD₁₆	C₂²	1	8	yes	complemented
32	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
33	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#548	—	2	4	no	—
38	C₁₃×#548	C₂²	1	8	yes	complemented
39	D₄²×C₁₃	—	2	4	no	—
40	D₄²×C₁₃	C₂²	1	8	yes	complemented
41	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#124	—	2	1	no	—
43	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
45	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₁₃×#121	—	2	1	no	—
47	C₂×C₁₃×#121	—	2	1	no	—
48	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
49	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₃×#120	—	2	1	no	—
52	C₂×C₁₃×#120	—	2	1	no	—
53	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄×C₁₃	—	2	1	no	—
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#496	C₂²	1	8	yes	complemented
58	C₁₃×#468	C₂²	1	8	yes	complemented
59	C₁₃×#466	C₂²	1	8	yes	complemented
60	C₁₃×#463	C₂²	1	8	yes	complemented
61	C₁₃×#460	C₂²	1	8	yes	complemented
62	C₁₃×#450	C₂²	1	8	yes	complemented
63	C₁₃×#449	C₂²	1	8	yes	complemented
64	C₁₃×#448	C₂²	1	8	yes	complemented
65	C₁₃×#447	C₂²	1	8	yes	complemented
66	C₁₃×#440	C₂²	1	8	yes	complemented
67	C₁₃×#435	C₂²	1	8	yes	complemented
68	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
73	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
79	C₂⁵×C₁₃	—	2	1	no	—
80	C₂⁵×C₁₃	—	2	1	no	—
81	C₂×C₁₃×#41	—	2	2	no	—
82	C₂×C₁₃×#41	—	2	4	no	—
83	C₂×C₁₃×#41	—	4	2	no	—
84	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
85	C₂²×Q₈×C₁₃	—	2	1	no	—
86	C₂²×Q₈×C₁₃	—	2	2	no	—
87	C₂²×Q₈×C₁₃	—	2	4	no	—
88	C₂²×Q₈×C₁₃	—	4	2	no	—
89	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
90	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
91	C₂²×Q₈×C₁₃	C₂³	1	4	yes	complemented
92	C₂²×D₄×C₁₃	—	2	4	no	—
93	C₂²×D₄×C₁₃	—	2	4	no	—
94	C₂²×D₄×C₁₃	—	2	1	no	—
95	C₂²×D₄×C₁₃	—	2	1	no	—
96	C₂²×D₄×C₁₃	—	2	1	no	—
97	C₂²×D₄×C₁₃	—	2	1	no	—
98	C₂²×D₄×C₁₃	—	2	8	no	—
99	C₂²×D₄×C₁₃	—	2	1	no	—
100	C₂²×D₄×C₁₃	—	2	1	no	—
101	C₂²×D₄×C₁₃	—	2	1	no	—
102	C₂²×D₄×C₁₃	—	2	2	no	—
103	C₂²×D₄×C₁₃	—	2	2	no	—
104	C₂²×D₄×C₁₃	—	2	1	no	—
105	C₂²×D₄×C₁₃	—	4	2	no	—
106	C₂²×D₄×C₁₃	—	4	2	no	—
107	C₂²×D₄×C₁₃	—	4	8	no	—
108	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
109	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
110	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
111	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
112	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
113	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
114	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
115	C₂³×C₄×C₁₃	—	2	1	no	—
116	C₂³×C₄×C₁₃	—	2	1	no	—
117	C₂³×C₄×C₁₃	—	2	1	no	—
118	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
119	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
120	C₁₃×AGL(1,ℤ/8)	—	2	32	no	—
121	C₂×C₁₃×SD₁₆	—	2	4	no	—
122	C₂×C₁₃×SD₁₆	—	2	4	no	—
123	C₂×C₁₃×SD₁₆	—	2	4	no	—
124	C₂×C₁₃×SD₁₆	—	2	32	no	—
125	C₂×C₁₃×SD₁₆	—	2	4	no	—
126	C₂×C₁₃×SD₁₆	—	4	2	no	—
127	C₂×C₁₃×SD₁₆	D₄	1	8	yes	complemented
128	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
129	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
130	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
131	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
132	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
133	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
134	C₂×C₁₃×D₈	—	2	4	no	—
135	C₂×C₁₃×D₈	—	2	4	no	—
136	C₂×C₁₃×D₈	—	4	2	no	—
137	C₂×C₁₃×D₈	C₂³	1	4	yes	—
138	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
139	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
140	C₂×C₁₃×M₁₆	—	2	4	no	—
141	C₂×C₁₃×M₁₆	C₂³	1	4	yes	complemented
142	C₂²×C₈×C₁₃	—	2	4	no	—
143	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₁₃	C₂³	1	4	yes	complemented
148	C₁₃×#127	—	2	2	no	—
149	C₁₃×#127	C₂³	1	4	yes	—
150	C₁₃×#124	—	2	8	no	—
151	C₁₃×#124	—	2	2	no	—
152	C₁₃×#124	C₂³	1	4	yes	complemented
153	C₁₃×C₂²⋊Q₈	—	2	2	no	—
154	C₁₃×C₂²⋊Q₈	—	2	8	no	—
155	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
156	C₁₃×#121	—	2	8	no	—
157	C₁₃×#121	—	2	2	no	—
158	C₁₃×#121	—	2	2	no	—
159	C₁₃×#121	—	2	2	no	—
160	C₁₃×#121	—	2	8	no	—
161	C₁₃×#121	C₂³	1	4	yes	—
162	C₁₃×#121	C₂³	1	4	yes	—
163	C₁₃×#121	C₂³	1	4	yes	complemented
164	C₁₃×#120	—	2	8	no	—
165	C₁₃×#120	—	2	8	no	—
166	C₄×Q₈×C₁₃	—	2	2	no	—
167	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
168	C₄×D₄×C₁₃	—	2	8	no	—
169	C₄×D₄×C₁₃	—	2	2	no	—
170	C₄×D₄×C₁₃	D₄	1	4	yes	—
171	C₄×D₄×C₁₃	C₂³	1	4	yes	—
172	C₄×D₄×C₁₃	C₂³	1	4	yes	—
173	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
174	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
175	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
176	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
179	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
180	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
181	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
182	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
183	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
184	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
185	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
186	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
187	C₂×C₄²×C₁₃	—	2	1	no	—
188	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
189	C₁₃×#107	C₂³	1	4	yes	complemented
190	C₁₃×C₄⋊C₈	C₂³	1	4	yes	complemented
191	C₁₃×#103	C₂³	1	4	yes	complemented
192	C₁₃×#103	C₂³	1	4	yes	complemented
193	C₁₃×#102	C₂³	1	4	yes	—
194	C₁₃×#102	C₂³	1	4	yes	complemented
195	C₁₃×#102	C₂³	1	4	yes	complemented
196	C₁₃×#102	C₂³	1	4	yes	complemented
197	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	complemented
198	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	complemented
199	C₁₃×#97	C₂³	1	4	yes	complemented
200	C₂×#3265	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
201	C₂⁴×C₁₃	—	2	1	no	—
202	C₂⁴×C₁₃	—	2	1	no	—
203	C₂⁴×C₁₃	—	2	1	no	—
204	C₂⁴×C₁₃	—	2	1	no	—
205	C₂⁴×C₁₃	—	2	4	no	—
206	C₂⁴×C₁₃	—	2	4	no	—
207	C₂⁴×C₁₃	—	4	4	no	—
208	C₂⁴×C₁₃	—	4	4	no	—
209	C₂⁴×C₁₃	—	4	4	no	—
210	C₂⁴×C₁₃	—	4	4	no	—
211	C₂⁴×C₁₃	—	8	2	no	—
212	C₂⁴×C₁₃	—	8	2	no	—
213	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
214	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
215	C₁₃×#41	—	2	8	no	—
216	C₁₃×#41	—	4	4	no	—
217	C₁₃×#41	—	4	8	no	—
218	C₂×Q₈×C₁₃	—	2	1	no	—
219	C₂×Q₈×C₁₃	—	2	1	no	—
220	C₂×Q₈×C₁₃	—	2	4	no	—
221	C₂×Q₈×C₁₃	—	2	2	no	—
222	C₂×Q₈×C₁₃	—	2	8	no	—
223	C₂×Q₈×C₁₃	—	2	2	no	—
224	C₂×Q₈×C₁₃	—	2	2	no	—
225	C₂×Q₈×C₁₃	—	4	4	no	—
226	C₂×Q₈×C₁₃	—	4	4	no	—
227	C₂×Q₈×C₁₃	—	4	8	no	—
228	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	complemented
229	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
230	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
231	C₂×D₄×C₁₃	—	2	4	no	—
232	C₂×D₄×C₁₃	—	2	8	no	—
233	C₂×D₄×C₁₃	—	2	8	no	—
234	C₂×D₄×C₁₃	—	2	4	no	—
235	C₂×D₄×C₁₃	—	2	4	no	—
236	C₂×D₄×C₁₃	—	2	4	no	—
237	C₂×D₄×C₁₃	—	2	4	no	—
238	C₂×D₄×C₁₃	—	2	1	no	—
239	C₂×D₄×C₁₃	—	2	2	no	—
240	C₂×D₄×C₁₃	—	2	2	no	—
241	C₂×D₄×C₁₃	—	2	2	no	—
242	C₂×D₄×C₁₃	—	2	4	no	—
243	C₂×D₄×C₁₃	—	2	4	no	—
244	C₂×D₄×C₁₃	—	2	1	no	—
245	C₂×D₄×C₁₃	—	2	1	no	—
246	C₂×D₄×C₁₃	—	2	1	no	—
247	C₂×D₄×C₁₃	—	2	4	no	—
248	C₂×D₄×C₁₃	—	2	4	no	—
249	C₂×D₄×C₁₃	—	2	2	no	—
250	C₂×D₄×C₁₃	—	2	2	no	—
251	C₂×D₄×C₁₃	—	2	2	no	—
252	C₂×D₄×C₁₃	—	2	2	no	—
253	C₂×D₄×C₁₃	—	4	4	no	—
254	C₂×D₄×C₁₃	—	4	4	no	—
255	C₂×D₄×C₁₃	—	4	8	no	—
256	C₂×D₄×C₁₃	—	4	8	no	—
257	C₂×D₄×C₁₃	—	4	4	no	—
258	C₂×D₄×C₁₃	—	4	4	no	—
259	C₂×D₄×C₁₃	—	4	4	no	—
260	C₂×D₄×C₁₃	—	4	4	no	—
261	C₂×D₄×C₁₃	—	4	32	no	—
262	C₂×D₄×C₁₃	—	4	4	no	—
263	C₂×D₄×C₁₃	—	4	4	no	—
264	C₂×D₄×C₁₃	—	4	4	no	—
265	C₂×D₄×C₁₃	—	8	2	no	—
266	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
267	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
268	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
269	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
270	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
271	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
272	C₂²×C₄×C₁₃	—	2	1	no	—
273	C₂²×C₄×C₁₃	—	2	2	no	—
274	C₂²×C₄×C₁₃	—	2	2	no	—
275	C₂²×C₄×C₁₃	—	2	2	no	—
276	C₂²×C₄×C₁₃	—	2	2	no	—
277	C₂²×C₄×C₁₃	—	2	4	no	—
278	C₂²×C₄×C₁₃	—	2	1	no	—
279	C₂²×C₄×C₁₃	—	2	1	no	—
280	C₂²×C₄×C₁₃	—	2	1	no	—
281	C₂²×C₄×C₁₃	—	2	4	no	—
282	C₂²×C₄×C₁₃	—	2	4	no	—
283	C₂²×C₄×C₁₃	—	4	4	no	—
284	C₂²×C₄×C₁₃	—	4	4	no	—
285	C₂²×C₄×C₁₃	—	4	4	no	—
286	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
287	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
288	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
289	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
290	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
291	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
292	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
295	C₁₃×SD₁₆	—	2	8	no	—
296	C₁₃×SD₁₆	—	2	8	no	—
297	C₁₃×SD₁₆	—	2	8	no	—
298	C₁₃×SD₁₆	—	2	8	no	—
299	C₁₃×SD₁₆	—	4	4	no	—
300	C₁₃×SD₁₆	C₂×D₄	1	16	yes	complemented
301	C₁₃×D₈	—	2	8	no	—
302	C₁₃×D₈	—	2	8	no	—
303	C₁₃×D₈	—	4	4	no	—
304	C₁₃×M₁₆	—	2	8	no	—
305	C₂×C₈×C₁₃	—	2	2	no	—
306	C₂×C₈×C₁₃	—	2	2	no	—
307	C₂×C₈×C₁₃	—	2	2	no	—
308	C₂×C₈×C₁₃	—	2	8	no	—
309	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	complemented
310	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
311	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
312	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
313	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
314	C₁₃×C₄⋊C₄	—	2	4	no	—
315	C₁₃×C₄⋊C₄	—	2	4	no	—
316	C₁₃×C₄⋊C₄	—	2	1	no	—
317	C₁₃×C₄⋊C₄	—	2	1	no	—
318	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
319	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
320	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
321	C₁₃×C₂²⋊C₄	—	2	4	no	—
322	C₁₃×C₂²⋊C₄	—	2	4	no	—
323	C₁₃×C₂²⋊C₄	—	2	4	no	—
324	C₁₃×C₂²⋊C₄	—	2	4	no	—
325	C₁₃×C₂²⋊C₄	—	2	4	no	—
326	C₁₃×C₂²⋊C₄	—	2	4	no	—
327	C₁₃×C₂²⋊C₄	—	2	4	no	—
328	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
329	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
330	C₄²×C₁₃	—	2	4	no	—
331	C₄²×C₁₃	C₂×D₄	1	2	yes	—
332	C₄²×C₁₃	C₂⁴	1	2	yes	—
333	C₂²×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
334	C₂³×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
335	C₂×#548	C₂×C₁₃	1	1	yes	characteristic, complemented
336	C₂×D₄²	C₂×C₁₃	1	1	yes	characteristic, complemented
337	#3265	C₂×C₁₃	1	16	yes	direct product factor
338	C₂×#496	C₂×C₁₃	1	1	yes	characteristic, complemented
339	C₂×#468	C₂×C₁₃	1	1	yes	characteristic, complemented
340	C₂×#466	C₂×C₁₃	1	1	yes	characteristic, complemented
341	C₂×#460	C₂×C₁₃	1	1	yes	characteristic, complemented
342	C₂×#463	C₂×C₁₃	1	1	yes	characteristic, complemented
343	C₂×#449	C₂×C₁₃	1	1	yes	characteristic, complemented
344	C₂×#448	C₂×C₁₃	1	1	yes	characteristic, complemented
345	C₂×#450	C₂×C₁₃	1	1	yes	characteristic, complemented
346	C₂×#447	C₂×C₁₃	1	1	yes	characteristic, complemented
347	C₂×#440	C₂×C₁₃	1	1	yes	characteristic, complemented
348	C₂×#435	C₂×C₁₃	1	1	yes	characteristic, complemented
349	C₂³×C₁₃	—	2	2	no	—
350	C₂³×C₁₃	—	2	2	no	—
351	C₂³×C₁₃	—	2	2	no	—
352	C₂³×C₁₃	—	2	4	no	—
353	C₂³×C₁₃	—	2	2	no	—
354	C₂³×C₁₃	—	2	2	no	—
355	C₂³×C₁₃	—	2	2	no	—
356	C₂³×C₁₃	—	2	2	no	—
357	C₂³×C₁₃	—	2	2	no	—
358	C₂³×C₁₃	—	2	2	no	—
359	C₂³×C₁₃	—	4	8	no	—
360	C₂³×C₁₃	—	4	8	no	—
361	C₂³×C₁₃	—	4	8	no	—
362	C₂³×C₁₃	—	4	2	no	—
363	C₂³×C₁₃	—	4	2	no	—
364	C₂³×C₁₃	—	4	2	no	—
365	C₂³×C₁₃	—	4	2	no	—
366	C₂³×C₁₃	—	4	2	no	—
367	C₂³×C₁₃	—	4	2	no	—
368	C₂³×C₁₃	—	4	2	no	—
369	C₂³×C₁₃	—	4	2	no	—
370	C₂³×C₁₃	—	4	8	no	—
371	C₂³×C₁₃	—	4	2	no	—
372	C₂³×C₁₃	—	4	2	no	—
373	C₂³×C₁₃	—	4	2	no	—
374	C₂³×C₁₃	—	8	4	no	—
375	C₂³×C₁₃	—	8	4	no	—
376	C₂³×C₁₃	—	8	16	no	—
377	C₂³×C₁₃	—	8	16	no	—
378	C₂³×C₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
379	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
380	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
381	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
382	Q₈×C₁₃	—	2	4	no	—
383	Q₈×C₁₃	—	2	2	no	—
384	Q₈×C₁₃	—	2	2	no	—
385	Q₈×C₁₃	—	2	2	no	—
386	Q₈×C₁₃	—	4	8	no	—
387	Q₈×C₁₃	—	4	2	no	—
388	Q₈×C₁₃	C₂²×D₄	1	4	yes	complemented
389	D₄×C₁₃	—	2	8	no	—
390	D₄×C₁₃	—	2	4	no	—
391	D₄×C₁₃	—	2	2	no	—
392	D₄×C₁₃	—	2	2	no	—
393	D₄×C₁₃	—	2	2	no	—
394	D₄×C₁₃	—	2	2	no	—
395	D₄×C₁₃	—	2	2	no	—
396	D₄×C₁₃	—	2	2	no	—
397	D₄×C₁₃	—	2	2	no	—
398	D₄×C₁₃	—	4	8	no	—
399	D₄×C₁₃	—	4	8	no	—
400	D₄×C₁₃	—	4	8	no	—
401	D₄×C₁₃	—	4	8	no	—
402	D₄×C₁₃	—	4	8	no	—
403	D₄×C₁₃	—	4	8	no	—
404	D₄×C₁₃	—	4	8	no	—
405	D₄×C₁₃	—	4	2	no	—
406	D₄×C₁₃	—	4	2	no	—
407	D₄×C₁₃	—	4	2	no	—
408	D₄×C₁₃	—	8	4	no	—
409	D₄×C₁₃	C₂²×D₄	1	4	yes	—
410	C₂×C₄×C₁₃	—	2	2	no	—
411	C₂×C₄×C₁₃	—	2	2	no	—
412	C₂×C₄×C₁₃	—	2	4	no	—
413	C₂×C₄×C₁₃	—	2	2	no	—
414	C₂×C₄×C₁₃	—	2	2	no	—
415	C₂×C₄×C₁₃	—	2	2	no	—
416	C₂×C₄×C₁₃	—	2	4	no	—
417	C₂×C₄×C₁₃	—	2	4	no	—
418	C₂×C₄×C₁₃	—	2	2	no	—
419	C₂×C₄×C₁₃	—	2	2	no	—
420	C₂×C₄×C₁₃	—	2	2	no	—
421	C₂×C₄×C₁₃	—	2	2	no	—
422	C₂×C₄×C₁₃	—	2	2	no	—
423	C₂×C₄×C₁₃	—	2	2	no	—
424	C₂×C₄×C₁₃	—	2	2	no	—
425	C₂×C₄×C₁₃	—	4	8	no	—
426	C₂×C₄×C₁₃	—	4	8	no	—
427	C₂×C₄×C₁₃	—	4	8	no	—
428	C₂×C₄×C₁₃	—	4	2	no	—
429	C₂×C₄×C₁₃	—	4	2	no	—
430	C₂×C₄×C₁₃	—	4	2	no	—
431	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
432	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
433	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
434	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
435	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
436	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
437	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
438	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
439	C₈×C₁₃	—	2	2	no	—
440	C₈×C₁₃	—	2	2	no	—
441	C₈×C₁₃	—	2	2	no	—
442	C₈×C₁₃	C₂²×D₄	1	4	yes	complemented
443	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
444	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
445	C₂³×D₄	—	2	1	no	—
446	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
447	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
448	C₂×AGL(1,ℤ/8)	—	2	8	no	—
449	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	8	yes	complemented
450	C₂²×SD₁₆	—	2	8	no	—
451	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
452	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
453	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
454	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
455	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
456	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
457	C₂²×SD₁₆	C₂²×C₁₃	1	8	yes	complemented
458	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
459	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
460	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
461	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
462	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
463	#548	—	2	4	no	—
464	#548	C₂²×C₁₃	1	8	yes	complemented
465	D₄²	—	2	4	no	—
466	D₄²	C₂²×C₁₃	1	8	yes	complemented
467	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
468	C₂×#124	—	2	1	no	—
469	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
470	C₂×C₂²⋊Q₈	—	2	1	no	—
471	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
472	C₂×#121	—	2	1	no	—
473	C₂×#121	—	2	1	no	—
474	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
475	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
476	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
477	C₂×#120	—	2	1	no	—
478	C₂×#120	—	2	1	no	—
479	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
480	C₂×C₄×D₄	—	2	1	no	—
481	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
482	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
483	#496	C₂²×C₁₃	1	8	yes	complemented
484	#468	C₂²×C₁₃	1	8	yes	complemented
485	#466	C₂²×C₁₃	1	8	yes	complemented
486	#463	C₂²×C₁₃	1	8	yes	complemented
487	#460	C₂²×C₁₃	1	8	yes	complemented
488	#450	C₂²×C₁₃	1	8	yes	complemented
489	#449	C₂²×C₁₃	1	8	yes	complemented
490	#448	C₂²×C₁₃	1	8	yes	complemented
491	#447	C₂²×C₁₃	1	8	yes	complemented
492	#440	C₂²×C₁₃	1	8	yes	complemented
493	#435	C₂²×C₁₃	1	8	yes	complemented
494	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic, complemented
495	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
496	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
497	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
498	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
499	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
500	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
501	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
502	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
503	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
504	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
505	C₂²×C₁₃	—	2	2	no	—
506	C₂²×C₁₃	—	2	8	no	—
507	C₂²×C₁₃	—	2	2	no	—
508	C₂²×C₁₃	—	2	2	no	—
509	C₂²×C₁₃	—	2	4	no	—
510	C₂²×C₁₃	—	2	2	no	—
511	C₂²×C₁₃	—	2	2	no	—
512	C₂²×C₁₃	—	4	4	no	—
513	C₂²×C₁₃	—	4	8	no	—
514	C₂²×C₁₃	—	4	2	no	—
515	C₂²×C₁₃	—	4	2	no	—
516	C₂²×C₁₃	—	4	2	no	—
517	C₂²×C₁₃	—	4	2	no	—
518	C₂²×C₁₃	—	4	2	no	—
519	C₂²×C₁₃	—	4	2	no	—
520	C₂²×C₁₃	—	4	2	no	—
521	C₂²×C₁₃	—	4	2	no	—
522	C₂²×C₁₃	—	4	2	no	—
523	C₂²×C₁₃	—	4	2	no	—
524	C₂²×C₁₃	—	4	2	no	—
525	C₂²×C₁₃	—	8	16	no	—
526	C₂²×C₁₃	—	8	16	no	—
527	C₂²×C₁₃	—	8	4	no	—
528	C₂²×C₁₃	—	8	4	no	—
529	C₂²×C₁₃	—	8	4	no	—
530	C₂²×C₁₃	D₄²	1	2	yes	—
531	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
532	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	4	yes	complemented
533	C₂²×C₁₃	#577	1	2	yes	—
534	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
535	C₄×C₁₃	—	2	2	no	—
536	C₄×C₁₃	—	2	2	no	—
537	C₄×C₁₃	—	2	4	no	—
538	C₄×C₁₃	—	2	2	no	—
539	C₄×C₁₃	—	2	2	no	—
540	C₄×C₁₃	—	4	2	no	—
541	C₄×C₁₃	—	4	2	no	—
542	C₄×C₁₃	—	4	2	no	—
543	C₄×C₁₃	D₄²	1	2	yes	—
544	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
545	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
546	C₂⁵	—	2	1	no	—
547	C₂⁵	—	2	1	no	—
548	C₂×#41	—	2	2	no	—
549	C₂×#41	—	2	4	no	—
550	C₂×#41	—	4	2	no	—
551	C₂×#41	C₂³×C₁₃	1	4	yes	complemented
552	C₂²×Q₈	—	2	1	no	—
553	C₂²×Q₈	—	2	2	no	—
554	C₂²×Q₈	—	2	4	no	—
555	C₂²×Q₈	—	4	2	no	—
556	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
557	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
558	C₂²×Q₈	C₂³×C₁₃	1	4	yes	complemented
559	C₂²×D₄	—	2	4	no	—
560	C₂²×D₄	—	2	4	no	—
561	C₂²×D₄	—	2	1	no	—
562	C₂²×D₄	—	2	1	no	—
563	C₂²×D₄	—	2	1	no	—
564	C₂²×D₄	—	2	1	no	—
565	C₂²×D₄	—	2	8	no	—
566	C₂²×D₄	—	2	1	no	—
567	C₂²×D₄	—	2	1	no	—
568	C₂²×D₄	—	2	1	no	—
569	C₂²×D₄	—	2	2	no	—
570	C₂²×D₄	—	2	2	no	—
571	C₂²×D₄	—	2	1	no	—
572	C₂²×D₄	—	4	2	no	—
573	C₂²×D₄	—	4	2	no	—
574	C₂²×D₄	—	4	8	no	—
575	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
576	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
577	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
578	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
579	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
580	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
581	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
582	C₂³×C₄	—	2	1	no	—
583	C₂³×C₄	—	2	1	no	—
584	C₂³×C₄	—	2	1	no	—
585	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
586	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
587	AGL(1,ℤ/8)	—	2	32	no	—
588	C₂×SD₁₆	—	2	4	no	—
589	C₂×SD₁₆	—	2	4	no	—
590	C₂×SD₁₆	—	2	4	no	—
591	C₂×SD₁₆	—	2	32	no	—
592	C₂×SD₁₆	—	2	4	no	—
593	C₂×SD₁₆	—	4	2	no	—
594	C₂×SD₁₆	D₄×C₁₃	1	8	yes	complemented
595	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
596	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
597	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
598	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
599	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
600	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
601	C₂×D₈	—	2	4	no	—
602	C₂×D₈	—	2	4	no	—
603	C₂×D₈	—	4	2	no	—
604	C₂×D₈	C₂³×C₁₃	1	4	yes	—
605	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
606	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
607	C₂×M₁₆	—	2	4	no	—
608	C₂×M₁₆	C₂³×C₁₃	1	4	yes	complemented
609	C₂²×C₈	—	2	4	no	—
610	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
611	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
612	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
613	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
614	C₂²×C₈	C₂³×C₁₃	1	4	yes	complemented
615	#127	—	2	2	no	—
616	#127	C₂³×C₁₃	1	4	yes	—
617	#124	—	2	8	no	—
618	#124	—	2	2	no	—
619	#124	C₂³×C₁₃	1	4	yes	complemented
620	C₂²⋊Q₈	—	2	2	no	—
621	C₂²⋊Q₈	—	2	8	no	—
622	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	complemented
623	#121	—	2	8	no	—
624	#121	—	2	2	no	—
625	#121	—	2	2	no	—
626	#121	—	2	2	no	—
627	#121	—	2	8	no	—
628	#121	C₂³×C₁₃	1	4	yes	—
629	#121	C₂³×C₁₃	1	4	yes	—
630	#121	C₂³×C₁₃	1	4	yes	complemented
631	#120	—	2	8	no	—
632	#120	—	2	8	no	—
633	C₄×Q₈	—	2	2	no	—
634	C₄×Q₈	C₂³×C₁₃	1	4	yes	complemented
635	C₄×D₄	—	2	8	no	—
636	C₄×D₄	—	2	2	no	—
637	C₄×D₄	D₄×C₁₃	1	4	yes	—
638	C₄×D₄	C₂³×C₁₃	1	4	yes	—
639	C₄×D₄	C₂³×C₁₃	1	4	yes	—
640	C₂×C₄⋊C₄	—	2	1	no	—
641	C₂×C₄⋊C₄	—	2	1	no	—
642	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
645	C₂×C₂²⋊C₄	—	2	1	no	—
646	C₂×C₂²⋊C₄	—	2	1	no	—
647	C₂×C₂²⋊C₄	—	2	1	no	—
648	C₂×C₂²⋊C₄	—	2	1	no	—
649	C₂×C₂²⋊C₄	—	2	1	no	—
650	C₂×C₂²⋊C₄	—	2	1	no	—
651	C₂×C₂²⋊C₄	—	2	1	no	—
652	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
653	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
654	C₂×C₄²	—	2	1	no	—
655	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
656	#107	C₂³×C₁₃	1	4	yes	complemented
657	C₄⋊C₈	C₂³×C₁₃	1	4	yes	complemented
658	#103	C₂³×C₁₃	1	4	yes	complemented
659	#103	C₂³×C₁₃	1	4	yes	complemented
660	#102	C₂³×C₁₃	1	4	yes	—
661	#102	C₂³×C₁₃	1	4	yes	complemented
662	#102	C₂³×C₁₃	1	4	yes	complemented
663	#102	C₂³×C₁₃	1	4	yes	complemented
664	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
665	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
666	#97	C₂³×C₁₃	1	4	yes	complemented
667	C₂×C₁₃	—	2	4	no	—
668	C₂×C₁₃	—	4	2	no	—
669	C₂×C₁₃	—	4	4	no	—
670	C₂×C₁₃	—	8	2	no	—
671	C₂×C₁₃	—	8	2	no	—
672	C₂×C₁₃	—	8	2	no	—
673	C₂×C₁₃	#3265	1	4	yes	direct product factor
674	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
675	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
676	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
677	C₂⁴	—	2	1	no	—
678	C₂⁴	—	2	1	no	—
679	C₂⁴	—	2	1	no	—
680	C₂⁴	—	2	1	no	—
681	C₂⁴	—	2	4	no	—
682	C₂⁴	—	2	4	no	—
683	C₂⁴	—	4	4	no	—
684	C₂⁴	—	4	4	no	—
685	C₂⁴	—	4	4	no	—
686	C₂⁴	—	4	4	no	—
687	C₂⁴	—	8	2	no	—
688	C₂⁴	—	8	2	no	—
689	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
690	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
691	#41	—	2	8	no	—
692	#41	—	4	4	no	—
693	#41	—	4	8	no	—
694	C₂×Q₈	—	2	1	no	—
695	C₂×Q₈	—	2	1	no	—
696	C₂×Q₈	—	2	4	no	—
697	C₂×Q₈	—	2	2	no	—
698	C₂×Q₈	—	2	8	no	—
699	C₂×Q₈	—	2	2	no	—
700	C₂×Q₈	—	2	2	no	—
701	C₂×Q₈	—	4	4	no	—
702	C₂×Q₈	—	4	4	no	—
703	C₂×Q₈	—	4	8	no	—
704	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	complemented
705	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
706	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
707	C₂×D₄	—	2	4	no	—
708	C₂×D₄	—	2	8	no	—
709	C₂×D₄	—	2	8	no	—
710	C₂×D₄	—	2	4	no	—
711	C₂×D₄	—	2	4	no	—
712	C₂×D₄	—	2	4	no	—
713	C₂×D₄	—	2	4	no	—
714	C₂×D₄	—	2	1	no	—
715	C₂×D₄	—	2	2	no	—
716	C₂×D₄	—	2	2	no	—
717	C₂×D₄	—	2	2	no	—
718	C₂×D₄	—	2	4	no	—
719	C₂×D₄	—	2	4	no	—
720	C₂×D₄	—	2	1	no	—
721	C₂×D₄	—	2	1	no	—
722	C₂×D₄	—	2	1	no	—
723	C₂×D₄	—	2	4	no	—
724	C₂×D₄	—	2	4	no	—
725	C₂×D₄	—	2	2	no	—
726	C₂×D₄	—	2	2	no	—
727	C₂×D₄	—	2	2	no	—
728	C₂×D₄	—	2	2	no	—
729	C₂×D₄	—	4	4	no	—
730	C₂×D₄	—	4	4	no	—
731	C₂×D₄	—	4	8	no	—
732	C₂×D₄	—	4	8	no	—
733	C₂×D₄	—	4	4	no	—
734	C₂×D₄	—	4	4	no	—
735	C₂×D₄	—	4	4	no	—
736	C₂×D₄	—	4	4	no	—
737	C₂×D₄	—	4	32	no	—
738	C₂×D₄	—	4	4	no	—
739	C₂×D₄	—	4	4	no	—
740	C₂×D₄	—	4	4	no	—
741	C₂×D₄	—	8	2	no	—
742	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
743	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
744	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
745	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
746	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
747	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
748	C₂²×C₄	—	2	1	no	—
749	C₂²×C₄	—	2	2	no	—
750	C₂²×C₄	—	2	2	no	—
751	C₂²×C₄	—	2	2	no	—
752	C₂²×C₄	—	2	2	no	—
753	C₂²×C₄	—	2	1	no	—
754	C₂²×C₄	—	2	1	no	—
755	C₂²×C₄	—	2	1	no	—
756	C₂²×C₄	—	2	4	no	—
757	C₂²×C₄	—	2	4	no	—
758	C₂²×C₄	—	2	4	no	—
759	C₂²×C₄	—	4	4	no	—
760	C₂²×C₄	—	4	4	no	—
761	C₂²×C₄	—	4	4	no	—
762	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
763	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
764	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
765	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
766	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
767	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
768	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
769	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
770	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
771	SD₁₆	—	2	8	no	—
772	SD₁₆	—	2	8	no	—
773	SD₁₆	—	2	8	no	—
774	SD₁₆	—	2	8	no	—
775	SD₁₆	—	4	4	no	—
776	SD₁₆	C₂×D₄×C₁₃	1	16	yes	complemented
777	D₈	—	2	8	no	—
778	D₈	—	2	8	no	—
779	D₈	—	4	4	no	—
780	M₁₆	—	2	8	no	—
781	C₂×C₈	—	2	2	no	—
782	C₂×C₈	—	2	2	no	—
783	C₂×C₈	—	2	2	no	—
784	C₂×C₈	—	2	8	no	—
785	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	complemented
786	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
787	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
788	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
789	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
790	C₄⋊C₄	—	2	4	no	—
791	C₄⋊C₄	—	2	4	no	—
792	C₄⋊C₄	—	2	1	no	—
793	C₄⋊C₄	—	2	1	no	—
794	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
795	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
796	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
797	C₂²⋊C₄	—	2	4	no	—
798	C₂²⋊C₄	—	2	4	no	—
799	C₂²⋊C₄	—	2	4	no	—
800	C₂²⋊C₄	—	2	4	no	—
801	C₂²⋊C₄	—	2	4	no	—
802	C₂²⋊C₄	—	2	4	no	—
803	C₂²⋊C₄	—	2	4	no	—
804	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
805	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
806	C₄²	—	2	4	no	—
807	C₄²	C₂×D₄×C₁₃	1	2	yes	—
808	C₄²	C₂⁴×C₁₃	1	2	yes	—
809	C₁₃	C₂×#3265	1	1	yes	characteristic, direct product factor, Sylow
810	C₂³	—	2	2	no	—
811	C₂³	—	2	2	no	—
812	C₂³	—	2	2	no	—
813	C₂³	—	2	4	no	—
814	C₂³	—	2	2	no	—
815	C₂³	—	2	2	no	—
816	C₂³	—	2	2	no	—
817	C₂³	—	2	2	no	—
818	C₂³	—	2	2	no	—
819	C₂³	—	2	2	no	—
820	C₂³	—	4	8	no	—
821	C₂³	—	4	8	no	—
822	C₂³	—	4	8	no	—
823	C₂³	—	4	2	no	—
824	C₂³	—	4	2	no	—
825	C₂³	—	4	2	no	—
826	C₂³	—	4	2	no	—
827	C₂³	—	4	2	no	—
828	C₂³	—	4	2	no	—
829	C₂³	—	4	2	no	—
830	C₂³	—	4	2	no	—
831	C₂³	—	4	8	no	—
832	C₂³	—	4	2	no	—
833	C₂³	—	4	2	no	—
834	C₂³	—	4	2	no	—
835	C₂³	—	8	4	no	—
836	C₂³	—	8	4	no	—
837	C₂³	—	8	16	no	—
838	C₂³	—	8	16	no	—
839	C₂³	C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
840	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
841	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
842	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
843	Q₈	—	2	4	no	—
844	Q₈	—	2	2	no	—
845	Q₈	—	2	2	no	—
846	Q₈	—	2	2	no	—
847	Q₈	—	4	8	no	—
848	Q₈	—	4	2	no	—
849	Q₈	C₂²×D₄×C₁₃	1	4	yes	complemented
850	D₄	—	2	8	no	—
851	D₄	—	2	4	no	—
852	D₄	—	2	2	no	—
853	D₄	—	2	2	no	—
854	D₄	—	2	2	no	—
855	D₄	—	2	2	no	—
856	D₄	—	2	2	no	—
857	D₄	—	2	2	no	—
858	D₄	—	2	2	no	—
859	D₄	—	4	8	no	—
860	D₄	—	4	8	no	—
861	D₄	—	4	8	no	—
862	D₄	—	4	8	no	—
863	D₄	—	4	8	no	—
864	D₄	—	4	8	no	—
865	D₄	—	4	8	no	—
866	D₄	—	4	2	no	—
867	D₄	—	4	2	no	—
868	D₄	—	4	2	no	—
869	D₄	—	8	4	no	—
870	D₄	C₂²×D₄×C₁₃	1	4	yes	—
871	C₂×C₄	—	2	2	no	—
872	C₂×C₄	—	2	2	no	—
873	C₂×C₄	—	2	4	no	—
874	C₂×C₄	—	2	2	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	2	2	no	—
877	C₂×C₄	—	2	4	no	—
878	C₂×C₄	—	2	4	no	—
879	C₂×C₄	—	2	2	no	—
880	C₂×C₄	—	2	2	no	—
881	C₂×C₄	—	2	2	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	2	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	2	no	—
886	C₂×C₄	—	4	8	no	—
887	C₂×C₄	—	4	8	no	—
888	C₂×C₄	—	4	8	no	—
889	C₂×C₄	—	4	2	no	—
890	C₂×C₄	—	4	2	no	—
891	C₂×C₄	—	4	2	no	—
892	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
893	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
894	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
895	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
896	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
897	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
898	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
899	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
900	C₈	—	2	2	no	—
901	C₈	—	2	2	no	—
902	C₈	—	2	2	no	—
903	C₈	C₂²×D₄×C₁₃	1	4	yes	complemented
904	C₂²	—	2	8	no	—
905	C₂²	—	2	2	no	—
906	C₂²	—	2	2	no	—
907	C₂²	—	2	2	no	—
908	C₂²	—	2	2	no	—
909	C₂²	—	2	2	no	—
910	C₂²	—	2	4	no	—
911	C₂²	—	4	4	no	—
912	C₂²	—	4	8	no	—
913	C₂²	—	4	2	no	—
914	C₂²	—	4	2	no	—
915	C₂²	—	4	2	no	—
916	C₂²	—	4	2	no	—
917	C₂²	—	4	2	no	—
918	C₂²	—	4	2	no	—
919	C₂²	—	4	2	no	—
920	C₂²	—	4	2	no	—
921	C₂²	—	4	2	no	—
922	C₂²	—	4	2	no	—
923	C₂²	—	4	2	no	—
924	C₂²	—	8	16	no	—
925	C₂²	—	8	16	no	—
926	C₂²	—	8	4	no	—
927	C₂²	—	8	4	no	—
928	C₂²	—	8	4	no	—
929	C₂²	D₄²×C₁₃	1	2	yes	—
930	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
931	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
932	C₂²	C₁₃×#577	1	2	yes	—
933	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
934	C₄	—	2	2	no	—
935	C₄	—	2	2	no	—
936	C₄	—	2	2	no	—
937	C₄	—	2	2	no	—
938	C₄	—	2	4	no	—
939	C₄	—	4	2	no	—
940	C₄	—	4	2	no	—
941	C₄	—	4	2	no	—
942	C₄	D₄²×C₁₃	1	2	yes	—
943	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
944	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
945	C₂	—	2	4	no	—
946	C₂	—	4	2	no	—
947	C₂	—	4	4	no	—
948	C₂	—	8	2	no	—
949	C₂	—	8	2	no	—
950	C₂	—	8	2	no	—
951	C₂	C₁₃×#3265	1	4	yes	direct product factor
952	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
953	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
954	C₂	C₂×C₁₃×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×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. C₂²×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
2. C₂³×C₁₃×SD₁₆	C₂	semidirect
3. C₂×C₁₃×#548	C₂	semidirect
4. C₂×D₄²×C₁₃	C₂	semidirect
5. C₁₃×#3265	C₂	direct (N × H)
6. C₂×C₁₃×#496	C₂	semidirect
7. C₂×C₁₃×#468	C₂	semidirect
8. C₂×C₁₃×#466	C₂	semidirect
9. C₂×C₁₃×#460	C₂	semidirect
10. C₂×C₁₃×#463	C₂	semidirect
11. C₂×C₁₃×#449	C₂	semidirect
12. C₂×C₁₃×#448	C₂	semidirect
13. C₂×C₁₃×#450	C₂	semidirect
14. C₂×C₁₃×#447	C₂	semidirect
15. C₂×C₁₃×#440	C₂	semidirect
16. C₂×C₁₃×#435	C₂	semidirect
17. C₂²×C₁₃×#41	C₂²	semidirect
18. C₂³×Q₈×C₁₃	C₂²	semidirect
23. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
27. C₂²×C₁₃×SD₁₆	C₂²	semidirect
28. C₂²×C₁₃×SD₁₆	C₂²	semidirect
29. C₂²×C₁₃×SD₁₆	C₂²	semidirect
30. C₂²×C₁₃×SD₁₆	C₂²	semidirect
31. C₂²×C₁₃×SD₁₆	C₂²	semidirect
33. C₂²×C₁₃×D₈	C₂²	semidirect
34. C₂²×C₁₃×D₈	C₂²	semidirect
35. C₂²×C₁₃×M₁₆	C₂²	semidirect
36. C₂³×C₈×C₁₃	C₂²	semidirect
38. C₁₃×#548	C₂²	semidirect
40. D₄²×C₁₃	C₂²	semidirect
43. C₂×C₁₃×#124	C₂²	semidirect
45. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
50. C₂×C₁₃×#121	C₂²	semidirect
53. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
57. C₁₃×#496	C₂²	semidirect
58. C₁₃×#468	C₂²	semidirect
59. C₁₃×#466	C₂²	semidirect
60. C₁₃×#463	C₂²	semidirect
61. C₁₃×#460	C₂²	semidirect
62. C₁₃×#450	C₂²	semidirect
63. C₁₃×#449	C₂²	semidirect
64. C₁₃×#448	C₂²	semidirect
65. C₁₃×#447	C₂²	semidirect
66. C₁₃×#440	C₂²	semidirect
67. C₁₃×#435	C₂²	semidirect
68. C₂×C₁₃×#107	C₂²	semidirect
69. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
70. C₂×C₁₃×#103	C₂²	semidirect
71. C₂×C₁₃×#103	C₂²	semidirect
73. C₂×C₁₃×#102	C₂²	semidirect
74. C₂×C₁₃×#102	C₂²	semidirect
75. C₂×C₁₃×#102	C₂²	semidirect
76. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
77. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
78. C₂×C₁₃×#97	C₂²	semidirect
84. C₂×C₁₃×#41	C₂³	semidirect
91. C₂²×Q₈×C₁₃	C₂³	semidirect
127. C₂×C₁₃×SD₁₆	D₄	semidirect
130. C₂×C₁₃×SD₁₆	C₂³	semidirect
131. C₂×C₁₃×SD₁₆	C₂³	semidirect
132. C₂×C₁₃×SD₁₆	C₂³	semidirect
133. C₂×C₁₃×SD₁₆	C₂³	semidirect
138. C₂×C₁₃×D₈	C₂³	semidirect
139. C₂×C₁₃×D₈	C₂³	semidirect
141. C₂×C₁₃×M₁₆	C₂³	semidirect
147. C₂²×C₈×C₁₃	C₂³	semidirect
152. C₁₃×#124	C₂³	semidirect
155. C₁₃×C₂²⋊Q₈	C₂³	semidirect
163. C₁₃×#121	C₂³	semidirect
167. C₄×Q₈×C₁₃	C₂³	semidirect
189. C₁₃×#107	C₂³	semidirect
190. C₁₃×C₄⋊C₈	C₂³	semidirect
191. C₁₃×#103	C₂³	semidirect
192. C₁₃×#103	C₂³	semidirect
194. C₁₃×#102	C₂³	semidirect
195. C₁₃×#102	C₂³	semidirect
196. C₁₃×#102	C₂³	semidirect
197. C₁₃×C₂²⋊C₈	C₂³	semidirect
198. C₁₃×C₂²⋊C₈	C₂³	semidirect
199. C₁₃×#97	C₂³	semidirect
200. C₂×#3265	C₁₃	direct (N × H)
228. C₂×Q₈×C₁₃	C₂×D₄	semidirect
300. C₁₃×SD₁₆	C₂×D₄	semidirect
309. C₂×C₈×C₁₃	C₂×D₄	semidirect
333. C₂²×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
334. C₂³×SD₁₆	C₂×C₁₃	semidirect
335. C₂×#548	C₂×C₁₃	semidirect
336. C₂×D₄²	C₂×C₁₃	semidirect
337. #3265	C₂×C₁₃	direct (N × H)
338. C₂×#496	C₂×C₁₃	semidirect
339. C₂×#468	C₂×C₁₃	semidirect
340. C₂×#466	C₂×C₁₃	semidirect
341. C₂×#460	C₂×C₁₃	semidirect
342. C₂×#463	C₂×C₁₃	semidirect
343. C₂×#449	C₂×C₁₃	semidirect
344. C₂×#448	C₂×C₁₃	semidirect
345. C₂×#450	C₂×C₁₃	semidirect
346. C₂×#447	C₂×C₁₃	semidirect
347. C₂×#440	C₂×C₁₃	semidirect
348. C₂×#435	C₂×C₁₃	semidirect
378. C₂³×C₁₃	AGL(1,ℤ/8)	semidirect
388. Q₈×C₁₃	C₂²×D₄	semidirect
442. C₈×C₁₃	C₂²×D₄	semidirect
443. C₂²×#41	C₂²×C₁₃	semidirect
444. C₂³×Q₈	C₂²×C₁₃	semidirect
449. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
453. C₂²×SD₁₆	C₂²×C₁₃	semidirect
454. C₂²×SD₁₆	C₂²×C₁₃	semidirect
455. C₂²×SD₁₆	C₂²×C₁₃	semidirect
456. C₂²×SD₁₆	C₂²×C₁₃	semidirect
457. C₂²×SD₁₆	C₂²×C₁₃	semidirect
459. C₂²×D₈	C₂²×C₁₃	semidirect
460. C₂²×D₈	C₂²×C₁₃	semidirect
461. C₂²×M₁₆	C₂²×C₁₃	semidirect
462. C₂³×C₈	C₂²×C₁₃	semidirect
464. #548	C₂²×C₁₃	semidirect
466. D₄²	C₂²×C₁₃	semidirect
469. C₂×#124	C₂²×C₁₃	semidirect
471. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
476. C₂×#121	C₂²×C₁₃	semidirect
479. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
483. #496	C₂²×C₁₃	semidirect
484. #468	C₂²×C₁₃	semidirect
485. #466	C₂²×C₁₃	semidirect
486. #463	C₂²×C₁₃	semidirect
487. #460	C₂²×C₁₃	semidirect
488. #450	C₂²×C₁₃	semidirect
489. #449	C₂²×C₁₃	semidirect
490. #448	C₂²×C₁₃	semidirect
491. #447	C₂²×C₁₃	semidirect
492. #440	C₂²×C₁₃	semidirect
493. #435	C₂²×C₁₃	semidirect
494. C₂×#107	C₂²×C₁₃	semidirect
495. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
496. C₂×#103	C₂²×C₁₃	semidirect
497. C₂×#103	C₂²×C₁₃	semidirect
499. C₂×#102	C₂²×C₁₃	semidirect
500. C₂×#102	C₂²×C₁₃	semidirect
501. C₂×#102	C₂²×C₁₃	semidirect
502. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
503. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
504. C₂×#97	C₂²×C₁₃	semidirect
532. C₂²×C₁₃	C₂×AGL(1,ℤ/8)	semidirect
551. C₂×#41	C₂³×C₁₃	semidirect
558. C₂²×Q₈	C₂³×C₁₃	semidirect
594. C₂×SD₁₆	D₄×C₁₃	semidirect
597. C₂×SD₁₆	C₂³×C₁₃	semidirect
598. C₂×SD₁₆	C₂³×C₁₃	semidirect
599. C₂×SD₁₆	C₂³×C₁₃	semidirect
600. C₂×SD₁₆	C₂³×C₁₃	semidirect
605. C₂×D₈	C₂³×C₁₃	semidirect
606. C₂×D₈	C₂³×C₁₃	semidirect
608. C₂×M₁₆	C₂³×C₁₃	semidirect
614. C₂²×C₈	C₂³×C₁₃	semidirect
619. #124	C₂³×C₁₃	semidirect
622. C₂²⋊Q₈	C₂³×C₁₃	semidirect
630. #121	C₂³×C₁₃	semidirect
634. C₄×Q₈	C₂³×C₁₃	semidirect
656. #107	C₂³×C₁₃	semidirect
657. C₄⋊C₈	C₂³×C₁₃	semidirect
658. #103	C₂³×C₁₃	semidirect
659. #103	C₂³×C₁₃	semidirect
661. #102	C₂³×C₁₃	semidirect
662. #102	C₂³×C₁₃	semidirect
663. #102	C₂³×C₁₃	semidirect
664. C₂²⋊C₈	C₂³×C₁₃	semidirect
665. C₂²⋊C₈	C₂³×C₁₃	semidirect
666. #97	C₂³×C₁₃	semidirect
673. C₂×C₁₃	#3265	direct (N × H)
704. C₂×Q₈	C₂×D₄×C₁₃	semidirect
776. SD₁₆	C₂×D₄×C₁₃	semidirect
785. C₂×C₈	C₂×D₄×C₁₃	semidirect
809. C₁₃	C₂×#3265	direct (N × H)
839. C₂³	C₁₃×AGL(1,ℤ/8)	semidirect
849. Q₈	C₂²×D₄×C₁₃	semidirect
903. C₈	C₂²×D₄×C₁₃	semidirect
931. C₂²	C₂×C₁₃×AGL(1,ℤ/8)	semidirect
951. C₂	C₁₃×#3265	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₃×AGL(1,ℤ/8)	2
C₂³×C₁₃×SD₁₆	2
C₂×C₁₃×#548	2
C₂×D₄²×C₁₃	2
C₁₃×#3265	2
C₂×C₁₃×#496	2
C₂×C₁₃×#468	2
C₂×C₁₃×#466	2
C₂×C₁₃×#460	2
C₂×C₁₃×#463	2
C₂×C₁₃×#449	2
C₂×C₁₃×#448	2
C₂×C₁₃×#450	2
C₂×C₁₃×#447	2
C₂×C₁₃×#440	2
C₂×C₁₃×#435	2
C₂×#3265	13

Subgroups — C2×C13×#3265 #15747362

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3265 #15747362