Subgroups — C₂×C₁₃×#3264 #15747361

Order 3328.

3366 conjugacy classes of subgroups.

The subgroup lattice has 984 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×D₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄²×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3264	C₂	1	16	yes	maximal, direct product factor
6	C₂×C₁₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₁₃×#469	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₃×#459	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#442	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×D₄×C₁₃	—	2	1	no	—
19	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
20	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
21	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
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	C₂²	1	1	yes	characteristic, complemented
25	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₁₃×D₈	—	2	8	no	—
28	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
29	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
30	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
31	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
32	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₁₃×D₈	C₂²	1	8	yes	complemented
35	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#546	—	2	4	no	—
38	C₁₃×#546	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, complemented
42	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×#123	—	2	1	no	—
44	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#121	—	2	1	no	—
46	C₂×C₁₃×#121	—	2	1	no	—
47	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₁₃×#120	—	2	1	no	—
51	C₂×C₁₃×#120	—	2	1	no	—
52	C₂×C₁₃×#120	—	2	1	no	—
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
56	C₂²×C₁₃×C₂²⋊C₄	—	2	1	no	—
57	C₁₃×#496	C₂²	1	8	yes	complemented
58	C₁₃×#469	C₂²	1	8	yes	complemented
59	C₁₃×#465	C₂²	1	8	yes	complemented
60	C₁₃×#463	C₂²	1	8	yes	complemented
61	C₁₃×#459	C₂²	1	8	yes	complemented
62	C₁₃×#450	C₂²	1	8	yes	complemented
63	C₁₃×#449	C₂²	1	8	yes	complemented
64	C₁₃×#447	C₂²	1	8	yes	complemented
65	C₁₃×#447	C₂²	1	8	yes	complemented
66	C₁₃×#442	C₂²	1	8	yes	complemented
67	C₁₃×#435	C₂²	1	8	yes	complemented
68	C₂×C₁₃×#106	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×#102	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
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	C₂⁵×C₁₃	—	2	1	no	—
82	C₂×C₁₃×#41	—	2	2	no	—
83	C₂×C₁₃×#41	—	2	4	no	—
84	C₂×C₁₃×#41	—	4	2	no	—
85	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
86	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
87	C₂²×D₄×C₁₃	—	2	4	no	—
88	C₂²×D₄×C₁₃	—	2	4	no	—
89	C₂²×D₄×C₁₃	—	2	4	no	—
90	C₂²×D₄×C₁₃	—	2	1	no	—
91	C₂²×D₄×C₁₃	—	2	1	no	—
92	C₂²×D₄×C₁₃	—	2	1	no	—
93	C₂²×D₄×C₁₃	—	2	1	no	—
94	C₂²×D₄×C₁₃	—	2	8	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	1	no	—
99	C₂²×D₄×C₁₃	—	2	2	no	—
100	C₂²×D₄×C₁₃	—	2	2	no	—
101	C₂²×D₄×C₁₃	—	2	2	no	—
102	C₂²×D₄×C₁₃	—	2	1	no	—
103	C₂²×D₄×C₁₃	—	4	2	no	—
104	C₂²×D₄×C₁₃	—	4	2	no	—
105	C₂²×D₄×C₁₃	—	4	2	no	—
106	C₂²×D₄×C₁₃	—	4	8	no	—
107	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
108	C₂²×D₄×C₁₃	C₂³	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	4	yes	—
112	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
113	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
114	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
115	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
116	C₂³×C₄×C₁₃	—	2	1	no	—
117	C₂³×C₄×C₁₃	—	2	1	no	—
118	C₂³×C₄×C₁₃	—	2	1	no	—
119	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
120	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
121	C₁₃×AGL(1,ℤ/8)	—	2	32	no	—
122	C₂×C₁₃×SD₁₆	—	2	4	no	—
123	C₂×C₁₃×SD₁₆	—	2	4	no	—
124	C₂×C₁₃×SD₁₆	—	4	2	no	—
125	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
126	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
127	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
128	C₂×C₁₃×D₈	—	2	4	no	—
129	C₂×C₁₃×D₈	—	2	4	no	—
130	C₂×C₁₃×D₈	—	2	4	no	—
131	C₂×C₁₃×D₈	—	2	32	no	—
132	C₂×C₁₃×D₈	—	2	4	no	—
133	C₂×C₁₃×D₈	—	4	2	no	—
134	C₂×C₁₃×D₈	D₄	1	8	yes	complemented
135	C₂×C₁₃×D₈	C₂³	1	4	yes	—
136	C₂×C₁₃×D₈	C₂³	1	4	yes	—
137	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
138	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
139	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
140	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
141	C₂×C₁₃×M₁₆	—	2	4	no	—
142	C₂×C₁₃×M₁₆	C₂³	1	4	yes	complemented
143	C₂²×C₈×C₁₃	—	2	4	no	—
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	1	yes	characteristic
148	C₂²×C₈×C₁₃	C₂³	1	4	yes	complemented
149	C₁₃×#127	—	2	2	no	—
150	C₁₃×#127	C₂³	1	4	yes	complemented
151	C₁₃×#124	—	2	2	no	—
152	C₁₃×#124	C₂³	1	4	yes	complemented
153	C₁₃×#123	—	2	8	no	—
154	C₁₃×C₂²⋊Q₈	—	2	2	no	—
155	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
156	C₁₃×#121	—	2	2	no	—
157	C₁₃×#121	—	2	2	no	—
158	C₁₃×#121	—	2	2	no	—
159	C₁₃×#121	—	2	8	no	—
160	C₁₃×#121	—	2	8	no	—
161	C₁₃×#121	C₂³	1	4	yes	—
162	C₁₃×#121	C₂³	1	4	yes	complemented
163	C₁₃×#121	C₂³	1	4	yes	complemented
164	C₁₃×#120	—	2	8	no	—
165	C₁₃×#120	—	2	8	no	—
166	C₁₃×#120	—	2	8	no	—
167	C₄×D₄×C₁₃	—	2	2	no	—
168	C₄×D₄×C₁₃	—	2	2	no	—
169	C₄×D₄×C₁₃	D₄	1	4	yes	—
170	C₄×D₄×C₁₃	C₂³	1	4	yes	—
171	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
172	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
173	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
174	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
175	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
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	—	2	8	no	—
186	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
187	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
188	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
189	C₁₃×#106	C₂³	1	4	yes	complemented
190	C₁₃×C₄⋊C₈	C₂³	1	4	yes	complemented
191	C₁₃×#103	C₂³	1	4	yes	complemented
192	C₁₃×#102	C₂³	1	4	yes	complemented
193	C₁₃×#102	C₂³	1	4	yes	complemented
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×#3264	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	1	no	—
206	C₂⁴×C₁₃	—	2	4	no	—
207	C₂⁴×C₁₃	—	2	4	no	—
208	C₂⁴×C₁₃	—	2	4	no	—
209	C₂⁴×C₁₃	—	4	4	no	—
210	C₂⁴×C₁₃	—	4	4	no	—
211	C₂⁴×C₁₃	—	4	4	no	—
212	C₂⁴×C₁₃	—	4	4	no	—
213	C₂⁴×C₁₃	—	4	4	no	—
214	C₂⁴×C₁₃	—	4	4	no	—
215	C₂⁴×C₁₃	—	8	2	no	—
216	C₂⁴×C₁₃	—	8	2	no	—
217	C₂⁴×C₁₃	—	8	2	no	—
218	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
219	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
220	C₁₃×#41	—	2	8	no	—
221	C₁₃×#41	—	4	4	no	—
222	C₁₃×#41	—	4	8	no	—
223	C₂×Q₈×C₁₃	—	2	1	no	—
224	C₂×Q₈×C₁₃	—	2	2	no	—
225	C₂×Q₈×C₁₃	—	2	2	no	—
226	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
227	C₂×D₄×C₁₃	—	2	4	no	—
228	C₂×D₄×C₁₃	—	2	8	no	—
229	C₂×D₄×C₁₃	—	2	8	no	—
230	C₂×D₄×C₁₃	—	2	8	no	—
231	C₂×D₄×C₁₃	—	2	4	no	—
232	C₂×D₄×C₁₃	—	2	4	no	—
233	C₂×D₄×C₁₃	—	2	4	no	—
234	C₂×D₄×C₁₃	—	2	4	no	—
235	C₂×D₄×C₁₃	—	2	1	no	—
236	C₂×D₄×C₁₃	—	2	1	no	—
237	C₂×D₄×C₁₃	—	2	2	no	—
238	C₂×D₄×C₁₃	—	2	2	no	—
239	C₂×D₄×C₁₃	—	2	2	no	—
240	C₂×D₄×C₁₃	—	2	4	no	—
241	C₂×D₄×C₁₃	—	2	4	no	—
242	C₂×D₄×C₁₃	—	2	4	no	—
243	C₂×D₄×C₁₃	—	2	1	no	—
244	C₂×D₄×C₁₃	—	2	1	no	—
245	C₂×D₄×C₁₃	—	2	1	no	—
246	C₂×D₄×C₁₃	—	2	4	no	—
247	C₂×D₄×C₁₃	—	2	4	no	—
248	C₂×D₄×C₁₃	—	2	2	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	4	no	—
256	C₂×D₄×C₁₃	—	4	8	no	—
257	C₂×D₄×C₁₃	—	4	8	no	—
258	C₂×D₄×C₁₃	—	4	8	no	—
259	C₂×D₄×C₁₃	—	4	4	no	—
260	C₂×D₄×C₁₃	—	4	4	no	—
261	C₂×D₄×C₁₃	—	4	4	no	—
262	C₂×D₄×C₁₃	—	4	4	no	—
263	C₂×D₄×C₁₃	—	4	32	no	—
264	C₂×D₄×C₁₃	—	4	4	no	—
265	C₂×D₄×C₁₃	—	4	4	no	—
266	C₂×D₄×C₁₃	—	4	4	no	—
267	C₂×D₄×C₁₃	—	8	2	no	—
268	C₂×D₄×C₁₃	—	8	2	no	—
269	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
270	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
271	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	complemented
272	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
273	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
274	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
275	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
276	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₁₃	—	2	2	no	—
278	C₂²×C₄×C₁₃	—	2	2	no	—
279	C₂²×C₄×C₁₃	—	2	2	no	—
280	C₂²×C₄×C₁₃	—	2	2	no	—
281	C₂²×C₄×C₁₃	—	2	1	no	—
282	C₂²×C₄×C₁₃	—	2	1	no	—
283	C₂²×C₄×C₁₃	—	2	1	no	—
284	C₂²×C₄×C₁₃	—	2	4	no	—
285	C₂²×C₄×C₁₃	—	2	4	no	—
286	C₂²×C₄×C₁₃	—	2	4	no	—
287	C₂²×C₄×C₁₃	—	4	4	no	—
288	C₂²×C₄×C₁₃	—	4	4	no	—
289	C₂²×C₄×C₁₃	—	8	2	no	—
290	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
291	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
292	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
293	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
294	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
295	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
296	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
299	C₁₃×SD₁₆	—	2	8	no	—
300	C₁₃×SD₁₆	—	2	8	no	—
301	C₁₃×SD₁₆	—	4	4	no	—
302	C₁₃×D₈	—	2	8	no	—
303	C₁₃×D₈	—	2	8	no	—
304	C₁₃×D₈	—	2	8	no	—
305	C₁₃×D₈	—	2	8	no	—
306	C₁₃×D₈	—	4	4	no	—
307	C₁₃×D₈	C₂×D₄	1	16	yes	complemented
308	C₁₃×M₁₆	—	2	8	no	—
309	C₂×C₈×C₁₃	—	2	2	no	—
310	C₂×C₈×C₁₃	—	2	2	no	—
311	C₂×C₈×C₁₃	—	2	2	no	—
312	C₂×C₈×C₁₃	—	2	8	no	—
313	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	complemented
314	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
315	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
316	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
317	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
318	C₁₃×C₄⋊C₄	—	2	4	no	—
319	C₁₃×C₄⋊C₄	—	2	1	no	—
320	C₁₃×C₄⋊C₄	—	2	1	no	—
321	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
322	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
323	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	—	2	4	no	—
329	C₁₃×C₂²⋊C₄	—	2	4	no	—
330	C₁₃×C₂²⋊C₄	—	2	4	no	—
331	C₁₃×C₂²⋊C₄	—	2	4	no	—
332	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
333	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
334	C₄²×C₁₃	C₂×D₄	1	2	yes	—
335	C₄²×C₁₃	C₂⁴	1	2	yes	—
336	C₂²×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
337	C₂³×D₈	C₂×C₁₃	1	1	yes	characteristic, complemented
338	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
339	C₂×D₄²	C₂×C₁₃	1	1	yes	characteristic, complemented
340	#3264	C₂×C₁₃	1	16	yes	direct product factor
341	C₂×#496	C₂×C₁₃	1	1	yes	characteristic, complemented
342	C₂×#469	C₂×C₁₃	1	1	yes	characteristic, complemented
343	C₂×#465	C₂×C₁₃	1	1	yes	characteristic, complemented
344	C₂×#463	C₂×C₁₃	1	1	yes	characteristic, complemented
345	C₂×#459	C₂×C₁₃	1	1	yes	characteristic, complemented
346	C₂×#449	C₂×C₁₃	1	1	yes	characteristic, complemented
347	C₂×#450	C₂×C₁₃	1	1	yes	characteristic, complemented
348	C₂×#447	C₂×C₁₃	1	1	yes	characteristic, complemented
349	C₂×#447	C₂×C₁₃	1	1	yes	characteristic, complemented
350	C₂×#442	C₂×C₁₃	1	1	yes	characteristic, complemented
351	C₂×#435	C₂×C₁₃	1	1	yes	characteristic, complemented
352	C₂³×C₁₃	—	2	2	no	—
353	C₂³×C₁₃	—	2	2	no	—
354	C₂³×C₁₃	—	2	2	no	—
355	C₂³×C₁₃	—	2	4	no	—
356	C₂³×C₁₃	—	2	4	no	—
357	C₂³×C₁₃	—	2	2	no	—
358	C₂³×C₁₃	—	2	2	no	—
359	C₂³×C₁₃	—	2	2	no	—
360	C₂³×C₁₃	—	2	2	no	—
361	C₂³×C₁₃	—	2	2	no	—
362	C₂³×C₁₃	—	2	2	no	—
363	C₂³×C₁₃	—	2	2	no	—
364	C₂³×C₁₃	—	4	8	no	—
365	C₂³×C₁₃	—	4	8	no	—
366	C₂³×C₁₃	—	4	8	no	—
367	C₂³×C₁₃	—	4	8	no	—
368	C₂³×C₁₃	—	4	2	no	—
369	C₂³×C₁₃	—	4	2	no	—
370	C₂³×C₁₃	—	4	2	no	—
371	C₂³×C₁₃	—	4	2	no	—
372	C₂³×C₁₃	—	4	2	no	—
373	C₂³×C₁₃	—	4	2	no	—
374	C₂³×C₁₃	—	4	2	no	—
375	C₂³×C₁₃	—	4	2	no	—
376	C₂³×C₁₃	—	4	2	no	—
377	C₂³×C₁₃	—	4	2	no	—
378	C₂³×C₁₃	—	4	8	no	—
379	C₂³×C₁₃	—	4	8	no	—
380	C₂³×C₁₃	—	4	2	no	—
381	C₂³×C₁₃	—	4	2	no	—
382	C₂³×C₁₃	—	4	2	no	—
383	C₂³×C₁₃	—	8	4	no	—
384	C₂³×C₁₃	—	8	4	no	—
385	C₂³×C₁₃	—	8	4	no	—
386	C₂³×C₁₃	—	8	16	no	—
387	C₂³×C₁₃	—	8	16	no	—
388	C₂³×C₁₃	—	8	16	no	—
389	C₂³×C₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
390	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
391	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
392	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
393	Q₈×C₁₃	—	2	2	no	—
394	Q₈×C₁₃	—	2	2	no	—
395	Q₈×C₁₃	—	4	2	no	—
396	D₄×C₁₃	—	2	8	no	—
397	D₄×C₁₃	—	2	4	no	—
398	D₄×C₁₃	—	2	4	no	—
399	D₄×C₁₃	—	2	2	no	—
400	D₄×C₁₃	—	2	2	no	—
401	D₄×C₁₃	—	2	2	no	—
402	D₄×C₁₃	—	2	2	no	—
403	D₄×C₁₃	—	2	2	no	—
404	D₄×C₁₃	—	2	2	no	—
405	D₄×C₁₃	—	2	2	no	—
406	D₄×C₁₃	—	2	2	no	—
407	D₄×C₁₃	—	4	8	no	—
408	D₄×C₁₃	—	4	8	no	—
409	D₄×C₁₃	—	4	8	no	—
410	D₄×C₁₃	—	4	8	no	—
411	D₄×C₁₃	—	4	8	no	—
412	D₄×C₁₃	—	4	8	no	—
413	D₄×C₁₃	—	4	8	no	—
414	D₄×C₁₃	—	4	2	no	—
415	D₄×C₁₃	—	4	2	no	—
416	D₄×C₁₃	—	4	2	no	—
417	D₄×C₁₃	—	8	4	no	—
418	D₄×C₁₃	—	8	4	no	—
419	D₄×C₁₃	C₂²×D₄	1	4	yes	—
420	D₄×C₁₃	C₂²×D₄	1	4	yes	complemented
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	—	2	4	no	—
426	C₂×C₄×C₁₃	—	2	4	no	—
427	C₂×C₄×C₁₃	—	2	2	no	—
428	C₂×C₄×C₁₃	—	2	2	no	—
429	C₂×C₄×C₁₃	—	2	2	no	—
430	C₂×C₄×C₁₃	—	2	2	no	—
431	C₂×C₄×C₁₃	—	2	2	no	—
432	C₂×C₄×C₁₃	—	2	2	no	—
433	C₂×C₄×C₁₃	—	2	2	no	—
434	C₂×C₄×C₁₃	—	4	8	no	—
435	C₂×C₄×C₁₃	—	4	8	no	—
436	C₂×C₄×C₁₃	—	4	2	no	—
437	C₂×C₄×C₁₃	—	4	2	no	—
438	C₂×C₄×C₁₃	—	4	2	no	—
439	C₂×C₄×C₁₃	—	8	4	no	—
440	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
441	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
442	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
443	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
444	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
445	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
446	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
447	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
448	C₈×C₁₃	—	2	2	no	—
449	C₈×C₁₃	—	2	2	no	—
450	C₈×C₁₃	—	2	2	no	—
451	C₈×C₁₃	C₂²×D₄	1	4	yes	complemented
452	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
453	C₂³×D₄	—	2	1	no	—
454	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
455	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
456	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
457	C₂×AGL(1,ℤ/8)	—	2	8	no	—
458	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	8	yes	complemented
459	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
460	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
461	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
462	C₂²×D₈	—	2	8	no	—
463	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
464	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
465	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
466	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
467	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
468	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
469	C₂²×D₈	C₂²×C₁₃	1	8	yes	complemented
470	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
471	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
472	#546	—	2	4	no	—
473	#546	C₂²×C₁₃	1	8	yes	complemented
474	D₄²	—	2	4	no	—
475	D₄²	C₂²×C₁₃	1	8	yes	complemented
476	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
477	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
478	C₂×#123	—	2	1	no	—
479	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
480	C₂×#121	—	2	1	no	—
481	C₂×#121	—	2	1	no	—
482	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
483	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
484	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
485	C₂×#120	—	2	1	no	—
486	C₂×#120	—	2	1	no	—
487	C₂×#120	—	2	1	no	—
488	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
489	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
490	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
491	C₂²×C₂²⋊C₄	—	2	1	no	—
492	#496	C₂²×C₁₃	1	8	yes	complemented
493	#469	C₂²×C₁₃	1	8	yes	complemented
494	#465	C₂²×C₁₃	1	8	yes	complemented
495	#463	C₂²×C₁₃	1	8	yes	complemented
496	#459	C₂²×C₁₃	1	8	yes	complemented
497	#450	C₂²×C₁₃	1	8	yes	complemented
498	#449	C₂²×C₁₃	1	8	yes	complemented
499	#447	C₂²×C₁₃	1	8	yes	complemented
500	#447	C₂²×C₁₃	1	8	yes	complemented
501	#442	C₂²×C₁₃	1	8	yes	complemented
502	#435	C₂²×C₁₃	1	8	yes	complemented
503	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
504	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
505	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
506	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
507	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
508	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
509	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
510	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
511	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
512	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
513	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
514	C₂²×C₁₃	—	2	2	no	—
515	C₂²×C₁₃	—	2	8	no	—
516	C₂²×C₁₃	—	2	2	no	—
517	C₂²×C₁₃	—	2	2	no	—
518	C₂²×C₁₃	—	2	4	no	—
519	C₂²×C₁₃	—	2	4	no	—
520	C₂²×C₁₃	—	2	2	no	—
521	C₂²×C₁₃	—	2	2	no	—
522	C₂²×C₁₃	—	4	4	no	—
523	C₂²×C₁₃	—	4	8	no	—
524	C₂²×C₁₃	—	4	8	no	—
525	C₂²×C₁₃	—	4	2	no	—
526	C₂²×C₁₃	—	4	2	no	—
527	C₂²×C₁₃	—	4	2	no	—
528	C₂²×C₁₃	—	4	2	no	—
529	C₂²×C₁₃	—	4	2	no	—
530	C₂²×C₁₃	—	4	2	no	—
531	C₂²×C₁₃	—	4	2	no	—
532	C₂²×C₁₃	—	4	2	no	—
533	C₂²×C₁₃	—	4	2	no	—
534	C₂²×C₁₃	—	4	2	no	—
535	C₂²×C₁₃	—	4	2	no	—
536	C₂²×C₁₃	—	4	2	no	—
537	C₂²×C₁₃	—	4	2	no	—
538	C₂²×C₁₃	—	8	16	no	—
539	C₂²×C₁₃	—	8	16	no	—
540	C₂²×C₁₃	—	8	16	no	—
541	C₂²×C₁₃	—	8	4	no	—
542	C₂²×C₁₃	—	8	4	no	—
543	C₂²×C₁₃	—	8	4	no	—
544	C₂²×C₁₃	D₄²	1	2	yes	—
545	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
546	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	4	yes	complemented
547	C₂²×C₁₃	#576	1	2	yes	—
548	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
549	C₄×C₁₃	—	2	2	no	—
550	C₄×C₁₃	—	2	2	no	—
551	C₄×C₁₃	—	2	2	no	—
552	C₄×C₁₃	—	2	2	no	—
553	C₄×C₁₃	—	4	2	no	—
554	C₄×C₁₃	—	4	2	no	—
555	C₄×C₁₃	—	4	2	no	—
556	C₄×C₁₃	D₄²	1	2	yes	—
557	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
558	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
559	C₂⁵	—	2	1	no	—
560	C₂⁵	—	2	1	no	—
561	C₂⁵	—	2	1	no	—
562	C₂×#41	—	2	2	no	—
563	C₂×#41	—	2	4	no	—
564	C₂×#41	—	4	2	no	—
565	C₂×#41	C₂³×C₁₃	1	4	yes	complemented
566	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
567	C₂²×D₄	—	2	4	no	—
568	C₂²×D₄	—	2	4	no	—
569	C₂²×D₄	—	2	4	no	—
570	C₂²×D₄	—	2	1	no	—
571	C₂²×D₄	—	2	1	no	—
572	C₂²×D₄	—	2	1	no	—
573	C₂²×D₄	—	2	1	no	—
574	C₂²×D₄	—	2	8	no	—
575	C₂²×D₄	—	2	1	no	—
576	C₂²×D₄	—	2	1	no	—
577	C₂²×D₄	—	2	1	no	—
578	C₂²×D₄	—	2	1	no	—
579	C₂²×D₄	—	2	2	no	—
580	C₂²×D₄	—	2	2	no	—
581	C₂²×D₄	—	2	2	no	—
582	C₂²×D₄	—	2	1	no	—
583	C₂²×D₄	—	4	2	no	—
584	C₂²×D₄	—	4	2	no	—
585	C₂²×D₄	—	4	2	no	—
586	C₂²×D₄	—	4	8	no	—
587	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
588	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
589	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
590	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
591	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
592	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
593	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
594	C₂²×D₄	C₂³×C₁₃	1	4	yes	complemented
595	C₂²×D₄	C₂³×C₁₃	1	4	yes	complemented
596	C₂³×C₄	—	2	1	no	—
597	C₂³×C₄	—	2	1	no	—
598	C₂³×C₄	—	2	1	no	—
599	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
600	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
601	AGL(1,ℤ/8)	—	2	32	no	—
602	C₂×SD₁₆	—	2	4	no	—
603	C₂×SD₁₆	—	2	4	no	—
604	C₂×SD₁₆	—	4	2	no	—
605	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
606	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
607	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
608	C₂×D₈	—	2	4	no	—
609	C₂×D₈	—	2	4	no	—
610	C₂×D₈	—	2	4	no	—
611	C₂×D₈	—	2	32	no	—
612	C₂×D₈	—	2	4	no	—
613	C₂×D₈	—	4	2	no	—
614	C₂×D₈	D₄×C₁₃	1	8	yes	complemented
615	C₂×D₈	C₂³×C₁₃	1	4	yes	—
616	C₂×D₈	C₂³×C₁₃	1	4	yes	—
617	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
618	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
619	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
620	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
621	C₂×M₁₆	—	2	4	no	—
622	C₂×M₁₆	C₂³×C₁₃	1	4	yes	complemented
623	C₂²×C₈	—	2	4	no	—
624	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
625	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
626	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
627	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
628	C₂²×C₈	C₂³×C₁₃	1	4	yes	complemented
629	#127	—	2	2	no	—
630	#127	C₂³×C₁₃	1	4	yes	complemented
631	#124	—	2	2	no	—
632	#124	C₂³×C₁₃	1	4	yes	complemented
633	#123	—	2	8	no	—
634	C₂²⋊Q₈	—	2	2	no	—
635	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	complemented
636	#121	—	2	2	no	—
637	#121	—	2	2	no	—
638	#121	—	2	2	no	—
639	#121	—	2	8	no	—
640	#121	—	2	8	no	—
641	#121	C₂³×C₁₃	1	4	yes	—
642	#121	C₂³×C₁₃	1	4	yes	complemented
643	#121	C₂³×C₁₃	1	4	yes	complemented
644	#120	—	2	8	no	—
645	#120	—	2	8	no	—
646	#120	—	2	8	no	—
647	C₄×D₄	—	2	2	no	—
648	C₄×D₄	—	2	2	no	—
649	C₄×D₄	D₄×C₁₃	1	4	yes	—
650	C₄×D₄	C₂³×C₁₃	1	4	yes	—
651	C₄×D₄	C₂³×C₁₃	1	4	yes	complemented
652	C₄×D₄	C₂³×C₁₃	1	4	yes	complemented
653	C₂×C₄⋊C₄	—	2	1	no	—
654	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	—	2	1	no	—
658	C₂×C₂²⋊C₄	—	2	1	no	—
659	C₂×C₂²⋊C₄	—	2	1	no	—
660	C₂×C₂²⋊C₄	—	2	1	no	—
661	C₂×C₂²⋊C₄	—	2	1	no	—
662	C₂×C₂²⋊C₄	—	2	1	no	—
663	C₂×C₂²⋊C₄	—	2	1	no	—
664	C₂×C₂²⋊C₄	—	2	1	no	—
665	C₂×C₂²⋊C₄	—	2	8	no	—
666	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
667	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
668	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
669	#106	C₂³×C₁₃	1	4	yes	complemented
670	C₄⋊C₈	C₂³×C₁₃	1	4	yes	complemented
671	#103	C₂³×C₁₃	1	4	yes	complemented
672	#102	C₂³×C₁₃	1	4	yes	complemented
673	#102	C₂³×C₁₃	1	4	yes	complemented
674	#102	C₂³×C₁₃	1	4	yes	complemented
675	#102	C₂³×C₁₃	1	4	yes	complemented
676	#102	C₂³×C₁₃	1	4	yes	complemented
677	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
678	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
679	#97	C₂³×C₁₃	1	4	yes	complemented
680	C₂×C₁₃	—	2	4	no	—
681	C₂×C₁₃	—	4	2	no	—
682	C₂×C₁₃	—	4	4	no	—
683	C₂×C₁₃	—	4	4	no	—
684	C₂×C₁₃	—	8	2	no	—
685	C₂×C₁₃	—	8	2	no	—
686	C₂×C₁₃	—	8	2	no	—
687	C₂×C₁₃	#3264	1	4	yes	direct product factor
688	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
689	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
690	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
691	C₂⁴	—	2	1	no	—
692	C₂⁴	—	2	1	no	—
693	C₂⁴	—	2	1	no	—
694	C₂⁴	—	2	1	no	—
695	C₂⁴	—	2	1	no	—
696	C₂⁴	—	2	4	no	—
697	C₂⁴	—	2	4	no	—
698	C₂⁴	—	2	4	no	—
699	C₂⁴	—	4	4	no	—
700	C₂⁴	—	4	4	no	—
701	C₂⁴	—	4	4	no	—
702	C₂⁴	—	4	4	no	—
703	C₂⁴	—	4	4	no	—
704	C₂⁴	—	4	4	no	—
705	C₂⁴	—	8	2	no	—
706	C₂⁴	—	8	2	no	—
707	C₂⁴	—	8	2	no	—
708	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
709	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
710	#41	—	2	8	no	—
711	#41	—	4	4	no	—
712	#41	—	4	8	no	—
713	C₂×Q₈	—	2	1	no	—
714	C₂×Q₈	—	2	2	no	—
715	C₂×Q₈	—	2	2	no	—
716	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
717	C₂×D₄	—	2	4	no	—
718	C₂×D₄	—	2	8	no	—
719	C₂×D₄	—	2	8	no	—
720	C₂×D₄	—	2	8	no	—
721	C₂×D₄	—	2	4	no	—
722	C₂×D₄	—	2	4	no	—
723	C₂×D₄	—	2	4	no	—
724	C₂×D₄	—	2	4	no	—
725	C₂×D₄	—	2	1	no	—
726	C₂×D₄	—	2	1	no	—
727	C₂×D₄	—	2	2	no	—
728	C₂×D₄	—	2	2	no	—
729	C₂×D₄	—	2	2	no	—
730	C₂×D₄	—	2	4	no	—
731	C₂×D₄	—	2	4	no	—
732	C₂×D₄	—	2	4	no	—
733	C₂×D₄	—	2	1	no	—
734	C₂×D₄	—	2	1	no	—
735	C₂×D₄	—	2	1	no	—
736	C₂×D₄	—	2	4	no	—
737	C₂×D₄	—	2	4	no	—
738	C₂×D₄	—	2	2	no	—
739	C₂×D₄	—	2	2	no	—
740	C₂×D₄	—	2	2	no	—
741	C₂×D₄	—	2	2	no	—
742	C₂×D₄	—	2	2	no	—
743	C₂×D₄	—	4	4	no	—
744	C₂×D₄	—	4	4	no	—
745	C₂×D₄	—	4	4	no	—
746	C₂×D₄	—	4	8	no	—
747	C₂×D₄	—	4	8	no	—
748	C₂×D₄	—	4	8	no	—
749	C₂×D₄	—	4	4	no	—
750	C₂×D₄	—	4	4	no	—
751	C₂×D₄	—	4	4	no	—
752	C₂×D₄	—	4	4	no	—
753	C₂×D₄	—	4	32	no	—
754	C₂×D₄	—	4	4	no	—
755	C₂×D₄	—	4	4	no	—
756	C₂×D₄	—	4	4	no	—
757	C₂×D₄	—	8	2	no	—
758	C₂×D₄	—	8	2	no	—
759	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
760	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
761	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	complemented
762	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
763	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
764	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
765	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
766	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
767	C₂²×C₄	—	2	2	no	—
768	C₂²×C₄	—	2	2	no	—
769	C₂²×C₄	—	2	2	no	—
770	C₂²×C₄	—	2	2	no	—
771	C₂²×C₄	—	2	1	no	—
772	C₂²×C₄	—	2	1	no	—
773	C₂²×C₄	—	2	1	no	—
774	C₂²×C₄	—	2	4	no	—
775	C₂²×C₄	—	2	4	no	—
776	C₂²×C₄	—	2	4	no	—
777	C₂²×C₄	—	4	4	no	—
778	C₂²×C₄	—	4	4	no	—
779	C₂²×C₄	—	8	2	no	—
780	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
781	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
782	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
783	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
784	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
785	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
786	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
787	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
788	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
789	SD₁₆	—	2	8	no	—
790	SD₁₆	—	2	8	no	—
791	SD₁₆	—	4	4	no	—
792	D₈	—	2	8	no	—
793	D₈	—	2	8	no	—
794	D₈	—	2	8	no	—
795	D₈	—	2	8	no	—
796	D₈	—	4	4	no	—
797	D₈	C₂×D₄×C₁₃	1	16	yes	complemented
798	M₁₆	—	2	8	no	—
799	C₂×C₈	—	2	2	no	—
800	C₂×C₈	—	2	2	no	—
801	C₂×C₈	—	2	2	no	—
802	C₂×C₈	—	2	8	no	—
803	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	complemented
804	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
805	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
806	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
807	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
808	C₄⋊C₄	—	2	4	no	—
809	C₄⋊C₄	—	2	1	no	—
810	C₄⋊C₄	—	2	1	no	—
811	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
812	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
813	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
814	C₂²⋊C₄	—	2	4	no	—
815	C₂²⋊C₄	—	2	4	no	—
816	C₂²⋊C₄	—	2	4	no	—
817	C₂²⋊C₄	—	2	4	no	—
818	C₂²⋊C₄	—	2	4	no	—
819	C₂²⋊C₄	—	2	4	no	—
820	C₂²⋊C₄	—	2	4	no	—
821	C₂²⋊C₄	—	2	4	no	—
822	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
823	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
824	C₄²	C₂×D₄×C₁₃	1	2	yes	—
825	C₄²	C₂⁴×C₁₃	1	2	yes	—
826	C₁₃	C₂×#3264	1	1	yes	characteristic, direct product factor, Sylow
827	C₂³	—	2	2	no	—
828	C₂³	—	2	2	no	—
829	C₂³	—	2	2	no	—
830	C₂³	—	2	4	no	—
831	C₂³	—	2	4	no	—
832	C₂³	—	2	2	no	—
833	C₂³	—	2	2	no	—
834	C₂³	—	2	2	no	—
835	C₂³	—	2	2	no	—
836	C₂³	—	2	2	no	—
837	C₂³	—	2	2	no	—
838	C₂³	—	2	2	no	—
839	C₂³	—	4	8	no	—
840	C₂³	—	4	8	no	—
841	C₂³	—	4	8	no	—
842	C₂³	—	4	8	no	—
843	C₂³	—	4	2	no	—
844	C₂³	—	4	2	no	—
845	C₂³	—	4	2	no	—
846	C₂³	—	4	2	no	—
847	C₂³	—	4	2	no	—
848	C₂³	—	4	2	no	—
849	C₂³	—	4	2	no	—
850	C₂³	—	4	2	no	—
851	C₂³	—	4	2	no	—
852	C₂³	—	4	2	no	—
853	C₂³	—	4	8	no	—
854	C₂³	—	4	8	no	—
855	C₂³	—	4	2	no	—
856	C₂³	—	4	2	no	—
857	C₂³	—	4	2	no	—
858	C₂³	—	8	4	no	—
859	C₂³	—	8	4	no	—
860	C₂³	—	8	4	no	—
861	C₂³	—	8	16	no	—
862	C₂³	—	8	16	no	—
863	C₂³	—	8	16	no	—
864	C₂³	C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
865	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
866	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
867	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
868	Q₈	—	2	2	no	—
869	Q₈	—	2	2	no	—
870	Q₈	—	4	2	no	—
871	D₄	—	2	8	no	—
872	D₄	—	2	4	no	—
873	D₄	—	2	4	no	—
874	D₄	—	2	2	no	—
875	D₄	—	2	2	no	—
876	D₄	—	2	2	no	—
877	D₄	—	2	2	no	—
878	D₄	—	2	2	no	—
879	D₄	—	2	2	no	—
880	D₄	—	2	2	no	—
881	D₄	—	2	2	no	—
882	D₄	—	4	8	no	—
883	D₄	—	4	8	no	—
884	D₄	—	4	8	no	—
885	D₄	—	4	8	no	—
886	D₄	—	4	8	no	—
887	D₄	—	4	8	no	—
888	D₄	—	4	8	no	—
889	D₄	—	4	2	no	—
890	D₄	—	4	2	no	—
891	D₄	—	4	2	no	—
892	D₄	—	8	4	no	—
893	D₄	—	8	4	no	—
894	D₄	C₂²×D₄×C₁₃	1	4	yes	—
895	D₄	C₂²×D₄×C₁₃	1	4	yes	complemented
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	2	4	no	—
901	C₂×C₄	—	2	4	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	2	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	4	8	no	—
910	C₂×C₄	—	4	8	no	—
911	C₂×C₄	—	4	2	no	—
912	C₂×C₄	—	4	2	no	—
913	C₂×C₄	—	4	2	no	—
914	C₂×C₄	—	8	4	no	—
915	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
916	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
917	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
918	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
919	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
920	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
921	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
922	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
923	C₈	—	2	2	no	—
924	C₈	—	2	2	no	—
925	C₈	—	2	2	no	—
926	C₈	C₂²×D₄×C₁₃	1	4	yes	complemented
927	C₂²	—	2	8	no	—
928	C₂²	—	2	2	no	—
929	C₂²	—	2	2	no	—
930	C₂²	—	2	2	no	—
931	C₂²	—	2	2	no	—
932	C₂²	—	2	2	no	—
933	C₂²	—	2	4	no	—
934	C₂²	—	2	4	no	—
935	C₂²	—	4	4	no	—
936	C₂²	—	4	8	no	—
937	C₂²	—	4	8	no	—
938	C₂²	—	4	2	no	—
939	C₂²	—	4	2	no	—
940	C₂²	—	4	2	no	—
941	C₂²	—	4	2	no	—
942	C₂²	—	4	2	no	—
943	C₂²	—	4	2	no	—
944	C₂²	—	4	2	no	—
945	C₂²	—	4	2	no	—
946	C₂²	—	4	2	no	—
947	C₂²	—	4	2	no	—
948	C₂²	—	4	2	no	—
949	C₂²	—	4	2	no	—
950	C₂²	—	4	2	no	—
951	C₂²	—	8	16	no	—
952	C₂²	—	8	16	no	—
953	C₂²	—	8	16	no	—
954	C₂²	—	8	4	no	—
955	C₂²	—	8	4	no	—
956	C₂²	—	8	4	no	—
957	C₂²	D₄²×C₁₃	1	2	yes	—
958	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
959	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
960	C₂²	C₁₃×#576	1	2	yes	—
961	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
962	C₄	—	2	2	no	—
963	C₄	—	2	2	no	—
964	C₄	—	2	2	no	—
965	C₄	—	2	2	no	—
966	C₄	—	4	2	no	—
967	C₄	—	4	2	no	—
968	C₄	—	4	2	no	—
969	C₄	D₄²×C₁₃	1	2	yes	—
970	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
971	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
972	C₂	—	2	4	no	—
973	C₂	—	4	2	no	—
974	C₂	—	4	4	no	—
975	C₂	—	4	4	no	—
976	C₂	—	8	2	no	—
977	C₂	—	8	2	no	—
978	C₂	—	8	2	no	—
979	C₂	C₁₃×#3264	1	4	yes	direct product factor
980	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
981	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
982	C₂	C₂×C₁₃×#576	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×D₈	C₂	semidirect
3. C₂×C₁₃×#546	C₂	semidirect
4. C₂×D₄²×C₁₃	C₂	semidirect
5. C₁₃×#3264	C₂	direct (N × H)
6. C₂×C₁₃×#496	C₂	semidirect
7. C₂×C₁₃×#469	C₂	semidirect
8. C₂×C₁₃×#465	C₂	semidirect
9. C₂×C₁₃×#463	C₂	semidirect
10. C₂×C₁₃×#459	C₂	semidirect
11. C₂×C₁₃×#449	C₂	semidirect
12. C₂×C₁₃×#450	C₂	semidirect
13. C₂×C₁₃×#447	C₂	semidirect
14. C₂×C₁₃×#447	C₂	semidirect
15. C₂×C₁₃×#442	C₂	semidirect
16. C₂×C₁₃×#435	C₂	semidirect
17. C₂²×C₁₃×#41	C₂²	semidirect
20. C₂³×D₄×C₁₃	C₂²	semidirect
21. C₂³×D₄×C₁₃	C₂²	semidirect
23. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
24. C₂²×C₁₃×SD₁₆	C₂²	semidirect
25. C₂²×C₁₃×SD₁₆	C₂²	semidirect
26. C₂²×C₁₃×SD₁₆	C₂²	semidirect
30. C₂²×C₁₃×D₈	C₂²	semidirect
31. C₂²×C₁₃×D₈	C₂²	semidirect
32. C₂²×C₁₃×D₈	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×#546	C₂²	semidirect
40. D₄²×C₁₃	C₂²	semidirect
41. C₂×C₁₃×#127	C₂²	semidirect
42. C₂×C₁₃×#124	C₂²	semidirect
44. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
48. C₂×C₁₃×#121	C₂²	semidirect
49. C₂×C₁₃×#121	C₂²	semidirect
54. C₂×C₄×D₄×C₁₃	C₂²	semidirect
55. C₂×C₄×D₄×C₁₃	C₂²	semidirect
57. C₁₃×#496	C₂²	semidirect
58. C₁₃×#469	C₂²	semidirect
59. C₁₃×#465	C₂²	semidirect
60. C₁₃×#463	C₂²	semidirect
61. C₁₃×#459	C₂²	semidirect
62. C₁₃×#450	C₂²	semidirect
63. C₁₃×#449	C₂²	semidirect
64. C₁₃×#447	C₂²	semidirect
65. C₁₃×#447	C₂²	semidirect
66. C₁₃×#442	C₂²	semidirect
67. C₁₃×#435	C₂²	semidirect
68. C₂×C₁₃×#106	C₂²	semidirect
69. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
70. C₂×C₁₃×#103	C₂²	semidirect
71. C₂×C₁₃×#102	C₂²	semidirect
72. C₂×C₁₃×#102	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
85. C₂×C₁₃×#41	C₂³	semidirect
114. C₂²×D₄×C₁₃	C₂³	semidirect
115. C₂²×D₄×C₁₃	C₂³	semidirect
125. C₂×C₁₃×SD₁₆	C₂³	semidirect
126. C₂×C₁₃×SD₁₆	C₂³	semidirect
127. C₂×C₁₃×SD₁₆	C₂³	semidirect
134. C₂×C₁₃×D₈	D₄	semidirect
137. C₂×C₁₃×D₈	C₂³	semidirect
138. C₂×C₁₃×D₈	C₂³	semidirect
139. C₂×C₁₃×D₈	C₂³	semidirect
140. C₂×C₁₃×D₈	C₂³	semidirect
142. C₂×C₁₃×M₁₆	C₂³	semidirect
148. C₂²×C₈×C₁₃	C₂³	semidirect
150. C₁₃×#127	C₂³	semidirect
152. C₁₃×#124	C₂³	semidirect
155. C₁₃×C₂²⋊Q₈	C₂³	semidirect
162. C₁₃×#121	C₂³	semidirect
163. C₁₃×#121	C₂³	semidirect
171. C₄×D₄×C₁₃	C₂³	semidirect
172. C₄×D₄×C₁₃	C₂³	semidirect
189. C₁₃×#106	C₂³	semidirect
190. C₁₃×C₄⋊C₈	C₂³	semidirect
191. C₁₃×#103	C₂³	semidirect
192. C₁₃×#102	C₂³	semidirect
193. C₁₃×#102	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×#3264	C₁₃	direct (N × H)
271. C₂×D₄×C₁₃	C₂×D₄	semidirect
307. C₁₃×D₈	C₂×D₄	semidirect
313. C₂×C₈×C₁₃	C₂×D₄	semidirect
336. C₂²×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
337. C₂³×D₈	C₂×C₁₃	semidirect
338. C₂×#546	C₂×C₁₃	semidirect
339. C₂×D₄²	C₂×C₁₃	semidirect
340. #3264	C₂×C₁₃	direct (N × H)
341. C₂×#496	C₂×C₁₃	semidirect
342. C₂×#469	C₂×C₁₃	semidirect
343. C₂×#465	C₂×C₁₃	semidirect
344. C₂×#463	C₂×C₁₃	semidirect
345. C₂×#459	C₂×C₁₃	semidirect
346. C₂×#449	C₂×C₁₃	semidirect
347. C₂×#450	C₂×C₁₃	semidirect
348. C₂×#447	C₂×C₁₃	semidirect
349. C₂×#447	C₂×C₁₃	semidirect
350. C₂×#442	C₂×C₁₃	semidirect
351. C₂×#435	C₂×C₁₃	semidirect
389. C₂³×C₁₃	AGL(1,ℤ/8)	semidirect
420. D₄×C₁₃	C₂²×D₄	semidirect
451. C₈×C₁₃	C₂²×D₄	semidirect
452. C₂²×#41	C₂²×C₁₃	semidirect
455. C₂³×D₄	C₂²×C₁₃	semidirect
456. C₂³×D₄	C₂²×C₁₃	semidirect
458. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
459. C₂²×SD₁₆	C₂²×C₁₃	semidirect
460. C₂²×SD₁₆	C₂²×C₁₃	semidirect
461. C₂²×SD₁₆	C₂²×C₁₃	semidirect
465. C₂²×D₈	C₂²×C₁₃	semidirect
466. C₂²×D₈	C₂²×C₁₃	semidirect
467. C₂²×D₈	C₂²×C₁₃	semidirect
468. C₂²×D₈	C₂²×C₁₃	semidirect
469. C₂²×D₈	C₂²×C₁₃	semidirect
470. C₂²×M₁₆	C₂²×C₁₃	semidirect
471. C₂³×C₈	C₂²×C₁₃	semidirect
473. #546	C₂²×C₁₃	semidirect
475. D₄²	C₂²×C₁₃	semidirect
476. C₂×#127	C₂²×C₁₃	semidirect
477. C₂×#124	C₂²×C₁₃	semidirect
479. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
483. C₂×#121	C₂²×C₁₃	semidirect
484. C₂×#121	C₂²×C₁₃	semidirect
489. C₂×C₄×D₄	C₂²×C₁₃	semidirect
490. C₂×C₄×D₄	C₂²×C₁₃	semidirect
492. #496	C₂²×C₁₃	semidirect
493. #469	C₂²×C₁₃	semidirect
494. #465	C₂²×C₁₃	semidirect
495. #463	C₂²×C₁₃	semidirect
496. #459	C₂²×C₁₃	semidirect
497. #450	C₂²×C₁₃	semidirect
498. #449	C₂²×C₁₃	semidirect
499. #447	C₂²×C₁₃	semidirect
500. #447	C₂²×C₁₃	semidirect
501. #442	C₂²×C₁₃	semidirect
502. #435	C₂²×C₁₃	semidirect
503. C₂×#106	C₂²×C₁₃	semidirect
504. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
505. C₂×#103	C₂²×C₁₃	semidirect
506. C₂×#102	C₂²×C₁₃	semidirect
507. C₂×#102	C₂²×C₁₃	semidirect
508. C₂×#102	C₂²×C₁₃	semidirect
509. C₂×#102	C₂²×C₁₃	semidirect
510. C₂×#102	C₂²×C₁₃	semidirect
511. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
512. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
513. C₂×#97	C₂²×C₁₃	semidirect
546. C₂²×C₁₃	C₂×AGL(1,ℤ/8)	semidirect
565. C₂×#41	C₂³×C₁₃	semidirect
594. C₂²×D₄	C₂³×C₁₃	semidirect
595. C₂²×D₄	C₂³×C₁₃	semidirect
605. C₂×SD₁₆	C₂³×C₁₃	semidirect
606. C₂×SD₁₆	C₂³×C₁₃	semidirect
607. C₂×SD₁₆	C₂³×C₁₃	semidirect
614. C₂×D₈	D₄×C₁₃	semidirect
617. C₂×D₈	C₂³×C₁₃	semidirect
618. C₂×D₈	C₂³×C₁₃	semidirect
619. C₂×D₈	C₂³×C₁₃	semidirect
620. C₂×D₈	C₂³×C₁₃	semidirect
622. C₂×M₁₆	C₂³×C₁₃	semidirect
628. C₂²×C₈	C₂³×C₁₃	semidirect
630. #127	C₂³×C₁₃	semidirect
632. #124	C₂³×C₁₃	semidirect
635. C₂²⋊Q₈	C₂³×C₁₃	semidirect
642. #121	C₂³×C₁₃	semidirect
643. #121	C₂³×C₁₃	semidirect
651. C₄×D₄	C₂³×C₁₃	semidirect
652. C₄×D₄	C₂³×C₁₃	semidirect
669. #106	C₂³×C₁₃	semidirect
670. C₄⋊C₈	C₂³×C₁₃	semidirect
671. #103	C₂³×C₁₃	semidirect
672. #102	C₂³×C₁₃	semidirect
673. #102	C₂³×C₁₃	semidirect
674. #102	C₂³×C₁₃	semidirect
675. #102	C₂³×C₁₃	semidirect
676. #102	C₂³×C₁₃	semidirect
677. C₂²⋊C₈	C₂³×C₁₃	semidirect
678. C₂²⋊C₈	C₂³×C₁₃	semidirect
679. #97	C₂³×C₁₃	semidirect
687. C₂×C₁₃	#3264	direct (N × H)
761. C₂×D₄	C₂×D₄×C₁₃	semidirect
797. D₈	C₂×D₄×C₁₃	semidirect
803. C₂×C₈	C₂×D₄×C₁₃	semidirect
826. C₁₃	C₂×#3264	direct (N × H)
864. C₂³	C₁₃×AGL(1,ℤ/8)	semidirect
895. D₄	C₂²×D₄×C₁₃	semidirect
926. C₈	C₂²×D₄×C₁₃	semidirect
959. C₂²	C₂×C₁₃×AGL(1,ℤ/8)	semidirect
979. C₂	C₁₃×#3264	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×D₈	2
C₂×C₁₃×#546	2
C₂×D₄²×C₁₃	2
C₁₃×#3264	2
C₂×C₁₃×#496	2
C₂×C₁₃×#469	2
C₂×C₁₃×#465	2
C₂×C₁₃×#463	2
C₂×C₁₃×#459	2
C₂×C₁₃×#449	2
C₂×C₁₃×#450	2
C₂×C₁₃×#447	2
C₂×C₁₃×#442	2
C₂×C₁₃×#435	2
C₂×#3264	13

Subgroups — C2×C13×#3264 #15747361

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3264 #15747361