Subgroups — C₁₃×#61571 #15747910

Order 3328.

2578 conjugacy classes of subgroups.

The subgroup lattice has 1002 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3505	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄²×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3318	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3310	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3265	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3264	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3217	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3194	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3187	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3186	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3114	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3003	C₂	1	2	yes	maximal, complemented
13	C₂×C₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2973	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×D₄×C₁₃	—	2	1	no	—
17	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
18	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
19	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
20	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
21	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
22	C₁₃×#553	—	2	2	no	—
23	C₁₃×#553	C₂²	1	2	yes	complemented
24	C₁₃×#552	C₂²	1	2	yes	complemented
25	C₁₃×#551	—	2	2	no	—
26	C₁₃×#548	C₂²	1	2	yes	complemented
27	C₁₃×#546	C₂²	1	2	yes	complemented
28	D₄²×C₁₃	—	2	2	no	—
29	D₄²×C₁₃	—	2	2	no	—
30	D₄²×C₁₃	C₂²	1	4	yes	—
31	D₄²×C₁₃	C₂²	1	4	yes	complemented
32	C₁₃×#539	—	2	1	no	—
33	C₁₃×#538	—	2	1	no	—
34	C₁₃×#534	—	2	1	no	—
35	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#529	C₂²	1	2	yes	complemented
37	C₁₃×#525	C₂²	1	2	yes	complemented
38	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#121	—	2	1	no	—
40	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×#120	—	2	1	no	—
44	C₂×C₁₃×#120	—	2	1	no	—
45	C₁₃×#518	—	2	1	no	—
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#496	C₂²	1	4	yes	complemented
49	C₁₃×#490	C₂²	1	4	yes	complemented
50	C₁₃×#483	C₂²	1	2	yes	complemented
51	C₁₃×#482	C₂²	1	4	yes	complemented
52	C₁₃×#481	C₂²	1	2	yes	complemented
53	C₁₃×#480	C₂²	1	2	yes	complemented
54	C₁₃×#480	C₂²	1	2	yes	complemented
55	C₁₃×#478	C₂²	1	4	yes	complemented
56	C₁₃×#469	C₂²	1	4	yes	complemented
57	C₁₃×#468	C₂²	1	4	yes	complemented
58	C₁₃×#466	C₂²	1	4	yes	complemented
59	C₁₃×#465	C₂²	1	4	yes	complemented
60	C₁₃×#463	C₂²	1	4	yes	complemented
61	C₁₃×#460	C₂²	1	4	yes	complemented
62	C₁₃×#459	C₂²	1	4	yes	complemented
63	C₁₃×#450	C₂²	1	2	yes	complemented
64	C₁₃×#450	C₂²	1	2	yes	complemented
65	C₁₃×#450	C₂²	1	2	yes	complemented
66	C₁₃×#450	C₂²	1	4	yes	complemented
67	C₁₃×#450	C₂²	1	4	yes	complemented
68	C₁₃×#449	C₂²	1	4	yes	complemented
69	C₁₃×#448	C₂²	1	2	yes	complemented
70	C₁₃×#447	C₂²	1	2	yes	—
71	C₁₃×#447	C₂²	1	2	yes	complemented
72	C₁₃×#447	C₂²	1	2	yes	complemented
73	C₁₃×#447	C₂²	1	4	yes	complemented
74	C₁₃×#447	C₂²	1	4	yes	complemented
75	C₁₃×#447	C₂²	1	2	yes	complemented
76	C₁₃×#442	C₂²	1	4	yes	complemented
77	C₁₃×#440	C₂²	1	4	yes	complemented
78	C₁₃×#435	C₂²	1	4	yes	complemented
79	C₁₃×#435	C₂²	1	4	yes	complemented
80	C₁₃×#432	C₂²	1	2	yes	complemented
81	C₁₃×#418	C₂²	1	4	yes	complemented
82	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
83	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
84	C₁₃×#407	C₂²	1	2	yes	complemented
85	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
87	C₂⁵×C₁₃	—	2	1	no	—
88	C₂⁵×C₁₃	—	2	1	no	—
89	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
90	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
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	4	no	—
95	C₂²×D₄×C₁₃	—	2	4	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	1	no	—
100	C₂²×D₄×C₁₃	—	2	1	no	—
101	C₂²×D₄×C₁₃	—	2	2	no	—
102	C₂²×D₄×C₁₃	—	2	1	no	—
103	C₂²×D₄×C₁₃	—	4	4	no	—
104	C₂²×D₄×C₁₃	—	4	4	no	—
105	C₂²×D₄×C₁₃	—	4	8	no	—
106	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
107	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
108	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
109	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
110	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
111	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
112	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
113	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
114	C₂³×C₄×C₁₃	—	2	1	no	—
115	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
116	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
117	C₁₃×AGL(1,ℤ/8)	—	4	8	no	—
118	C₂×C₁₃×SD₁₆	—	4	4	no	—
119	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
120	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
121	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
122	C₂×C₁₃×D₈	—	4	4	no	—
123	C₂×C₁₃×D₈	C₂³	1	4	yes	—
124	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
125	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
126	C₂×C₁₃×M₁₆	C₂³	1	4	yes	complemented
127	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
128	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
129	C₁₃×#127	—	2	2	no	—
130	C₁₃×#127	C₂³	1	4	yes	—
131	C₁₃×#126	—	2	2	no	—
132	C₁₃×#126	—	2	2	no	—
133	C₁₃×#126	—	2	2	no	—
134	C₁₃×#125	—	2	2	no	—
135	C₁₃×#125	C₂³	1	2	yes	complemented
136	C₁₃×#124	—	2	2	no	—
137	C₁₃×#124	C₂³	1	2	yes	complemented
138	C₁₃×#123	—	2	2	no	—
139	C₁₃×#123	—	2	2	no	—
140	C₁₃×#123	—	2	2	no	—
141	C₁₃×#123	—	2	2	no	—
142	C₁₃×#123	—	2	2	no	—
143	C₁₃×C₂²⋊Q₈	—	2	1	no	—
144	C₁₃×C₂²⋊Q₈	—	2	1	no	—
145	C₁₃×C₂²⋊Q₈	—	2	2	no	—
146	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
147	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
148	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
149	C₁₃×#121	—	2	2	no	—
150	C₁₃×#121	—	2	2	no	—
151	C₁₃×#121	—	2	1	no	—
152	C₁₃×#121	—	2	1	no	—
153	C₁₃×#121	—	2	1	no	—
154	C₁₃×#121	—	2	2	no	—
155	C₁₃×#121	—	2	1	no	—
156	C₁₃×#121	—	2	4	no	—
157	C₁₃×#121	—	2	4	no	—
158	C₁₃×#121	—	2	2	no	—
159	C₁₃×#121	C₂³	1	2	yes	—
160	C₁₃×#121	C₂³	1	2	yes	—
161	C₁₃×#121	C₂³	1	2	yes	—
162	C₁₃×#121	C₂³	1	4	yes	—
163	C₁₃×#121	C₂³	1	2	yes	complemented
164	C₁₃×#121	C₂³	1	2	yes	complemented
165	C₁₃×#120	—	2	2	no	—
166	C₁₃×#120	—	2	2	no	—
167	C₁₃×#120	—	2	4	no	—
168	C₁₃×#120	—	2	4	no	—
169	C₁₃×#120	—	2	4	no	—
170	C₁₃×#120	—	2	4	no	—
171	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
172	C₄×D₄×C₁₃	—	2	2	no	—
173	C₄×D₄×C₁₃	—	2	2	no	—
174	C₄×D₄×C₁₃	—	2	2	no	—
175	C₄×D₄×C₁₃	—	2	2	no	—
176	C₄×D₄×C₁₃	—	2	2	no	—
177	C₄×D₄×C₁₃	—	2	2	no	—
178	C₄×D₄×C₁₃	D₄	1	2	yes	—
179	C₄×D₄×C₁₃	D₄	1	2	yes	—
180	C₄×D₄×C₁₃	C₂³	1	4	yes	—
181	C₄×D₄×C₁₃	C₂³	1	2	yes	—
182	C₄×D₄×C₁₃	C₂³	1	2	yes	—
183	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
184	C₁₃×#117	—	2	2	no	—
185	C₁₃×#117	—	2	2	no	—
186	C₁₃×#117	C₂³	1	2	yes	complemented
187	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
188	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
189	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
191	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
192	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
193	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
194	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
195	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
196	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
197	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
198	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
199	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
200	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
201	C₁₃×#107	C₂³	1	4	yes	complemented
202	C₁₃×#106	C₂³	1	4	yes	complemented
203	C₁₃×C₄⋊C₈	C₂³	1	4	yes	complemented
204	C₁₃×#103	C₂³	1	4	yes	complemented
205	C₁₃×#102	C₂³	1	4	yes	—
206	C₁₃×#102	C₂³	1	4	yes	—
207	C₁₃×#102	C₂³	1	4	yes	complemented
208	C₁₃×#102	C₂³	1	4	yes	complemented
209	C₁₃×#102	C₂³	1	4	yes	complemented
210	C₁₃×#102	C₂³	1	4	yes	complemented
211	C₁₃×#102	C₂³	1	4	yes	complemented
212	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
214	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
215	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
216	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	complemented
217	C₁₃×#97	C₂³	1	4	yes	complemented
218	#61571	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
219	C₂⁴×C₁₃	—	2	1	no	—
220	C₂⁴×C₁₃	—	2	1	no	—
221	C₂⁴×C₁₃	—	2	1	no	—
222	C₂⁴×C₁₃	—	2	4	no	—
223	C₂⁴×C₁₃	—	2	2	no	—
224	C₂⁴×C₁₃	—	2	2	no	—
225	C₂⁴×C₁₃	—	2	1	no	—
226	C₂⁴×C₁₃	—	4	4	no	—
227	C₂⁴×C₁₃	—	4	4	no	—
228	C₂⁴×C₁₃	—	4	4	no	—
229	C₂⁴×C₁₃	—	4	4	no	—
230	C₂⁴×C₁₃	—	8	2	no	—
231	C₂⁴×C₁₃	—	8	2	no	—
232	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
233	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
234	C₁₃×#41	—	4	4	no	—
235	C₂×Q₈×C₁₃	—	2	1	no	—
236	C₂×Q₈×C₁₃	—	4	2	no	—
237	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
238	C₂×D₄×C₁₃	—	2	4	no	—
239	C₂×D₄×C₁₃	—	2	4	no	—
240	C₂×D₄×C₁₃	—	2	4	no	—
241	C₂×D₄×C₁₃	—	2	4	no	—
242	C₂×D₄×C₁₃	—	2	8	no	—
243	C₂×D₄×C₁₃	—	2	2	no	—
244	C₂×D₄×C₁₃	—	2	2	no	—
245	C₂×D₄×C₁₃	—	2	4	no	—
246	C₂×D₄×C₁₃	—	2	2	no	—
247	C₂×D₄×C₁₃	—	2	2	no	—
248	C₂×D₄×C₁₃	—	2	2	no	—
249	C₂×D₄×C₁₃	—	2	2	no	—
250	C₂×D₄×C₁₃	—	2	1	no	—
251	C₂×D₄×C₁₃	—	2	4	no	—
252	C₂×D₄×C₁₃	—	2	2	no	—
253	C₂×D₄×C₁₃	—	2	2	no	—
254	C₂×D₄×C₁₃	—	2	1	no	—
255	C₂×D₄×C₁₃	—	2	1	no	—
256	C₂×D₄×C₁₃	—	2	4	no	—
257	C₂×D₄×C₁₃	—	2	4	no	—
258	C₂×D₄×C₁₃	—	2	1	no	—
259	C₂×D₄×C₁₃	—	4	2	no	—
260	C₂×D₄×C₁₃	—	4	2	no	—
261	C₂×D₄×C₁₃	—	4	4	no	—
262	C₂×D₄×C₁₃	—	4	2	no	—
263	C₂×D₄×C₁₃	—	4	2	no	—
264	C₂×D₄×C₁₃	—	4	2	no	—
265	C₂×D₄×C₁₃	—	4	4	no	—
266	C₂×D₄×C₁₃	—	4	4	no	—
267	C₂×D₄×C₁₃	—	4	4	no	—
268	C₂×D₄×C₁₃	—	4	8	no	—
269	C₂×D₄×C₁₃	—	4	16	no	—
270	C₂×D₄×C₁₃	—	4	16	no	—
271	C₂×D₄×C₁₃	—	4	4	no	—
272	C₂×D₄×C₁₃	—	4	4	no	—
273	C₂×D₄×C₁₃	—	4	4	no	—
274	C₂×D₄×C₁₃	—	4	4	no	—
275	C₂×D₄×C₁₃	—	4	4	no	—
276	C₂×D₄×C₁₃	—	8	2	no	—
277	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
278	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
279	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
280	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
281	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
282	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃	—	2	1	no	—
284	C₂²×C₄×C₁₃	—	2	1	no	—
285	C₂²×C₄×C₁₃	—	2	1	no	—
286	C₂²×C₄×C₁₃	—	2	1	no	—
287	C₂²×C₄×C₁₃	—	2	4	no	—
288	C₂²×C₄×C₁₃	—	2	2	no	—
289	C₂²×C₄×C₁₃	—	2	2	no	—
290	C₂²×C₄×C₁₃	—	4	2	no	—
291	C₂²×C₄×C₁₃	—	4	2	no	—
292	C₂²×C₄×C₁₃	—	4	4	no	—
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	C₂×D₄	1	1	yes	characteristic
297	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
298	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
299	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
300	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
304	C₁₃×SD₁₆	—	2	8	no	—
305	C₁₃×SD₁₆	—	4	4	no	—
306	C₁₃×SD₁₆	—	4	4	no	—
307	C₁₃×D₈	—	2	8	no	—
308	C₁₃×D₈	—	4	4	no	—
309	C₁₃×D₈	—	4	4	no	—
310	C₁₃×M₁₆	—	4	4	no	—
311	C₂×C₈×C₁₃	—	4	2	no	—
312	C₂×C₈×C₁₃	—	4	2	no	—
313	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
314	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
315	C₁₃×C₄⋊C₄	—	2	2	no	—
316	C₁₃×C₄⋊C₄	—	2	2	no	—
317	C₁₃×C₄⋊C₄	—	2	1	no	—
318	C₁₃×C₄⋊C₄	—	2	1	no	—
319	C₁₃×C₄⋊C₄	—	2	1	no	—
320	C₁₃×C₄⋊C₄	—	2	2	no	—
321	C₁₃×C₄⋊C₄	—	2	2	no	—
322	C₁₃×C₄⋊C₄	—	2	2	no	—
323	C₁₃×C₄⋊C₄	—	2	2	no	—
324	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
325	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
326	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
327	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
328	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
329	C₁₃×C₂²⋊C₄	—	2	2	no	—
330	C₁₃×C₂²⋊C₄	—	2	2	no	—
331	C₁₃×C₂²⋊C₄	—	2	2	no	—
332	C₁₃×C₂²⋊C₄	—	2	2	no	—
333	C₁₃×C₂²⋊C₄	—	2	2	no	—
334	C₁₃×C₂²⋊C₄	—	2	2	no	—
335	C₁₃×C₂²⋊C₄	—	2	2	no	—
336	C₁₃×C₂²⋊C₄	—	2	4	no	—
337	C₁₃×C₂²⋊C₄	—	2	4	no	—
338	C₁₃×C₂²⋊C₄	—	2	2	no	—
339	C₁₃×C₂²⋊C₄	—	2	2	no	—
340	C₁₃×C₂²⋊C₄	—	2	2	no	—
341	C₁₃×C₂²⋊C₄	—	2	2	no	—
342	C₁₃×C₂²⋊C₄	—	2	2	no	—
343	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
344	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
345	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
346	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
347	C₄²×C₁₃	—	2	2	no	—
348	C₄²×C₁₃	—	2	2	no	—
349	C₄²×C₁₃	C₂×D₄	1	2	yes	—
350	C₄²×C₁₃	C₂⁴	1	2	yes	—
351	#3505	C₂×C₁₃	1	1	yes	characteristic, complemented
352	C₂×D₄²	C₂×C₁₃	1	1	yes	characteristic, complemented
353	#3318	C₂×C₁₃	1	4	yes	complemented
354	#3310	C₂×C₁₃	1	4	yes	complemented
355	#3265	C₂×C₁₃	1	4	yes	complemented
356	#3264	C₂×C₁₃	1	4	yes	complemented
357	#3217	C₂×C₁₃	1	2	yes	complemented
358	#3194	C₂×C₁₃	1	2	yes	complemented
359	#3187	C₂×C₁₃	1	1	yes	characteristic, complemented
360	#3186	C₂×C₁₃	1	1	yes	characteristic, complemented
361	#3114	C₂×C₁₃	1	2	yes	complemented
362	#3003	C₂×C₁₃	1	2	yes	complemented
363	C₂×#450	C₂×C₁₃	1	1	yes	characteristic, complemented
364	C₂×#447	C₂×C₁₃	1	1	yes	characteristic, complemented
365	#2973	C₂×C₁₃	1	1	yes	characteristic, complemented
366	C₂³×C₁₃	—	2	4	no	—
367	C₂³×C₁₃	—	2	2	no	—
368	C₂³×C₁₃	—	2	2	no	—
369	C₂³×C₁₃	—	2	2	no	—
370	C₂³×C₁₃	—	2	2	no	—
371	C₂³×C₁₃	—	2	2	no	—
372	C₂³×C₁₃	—	4	1	no	—
373	C₂³×C₁₃	—	4	1	no	—
374	C₂³×C₁₃	—	4	1	no	—
375	C₂³×C₁₃	—	4	1	no	—
376	C₂³×C₁₃	—	4	4	no	—
377	C₂³×C₁₃	—	4	4	no	—
378	C₂³×C₁₃	—	4	8	no	—
379	C₂³×C₁₃	—	4	2	no	—
380	C₂³×C₁₃	—	4	2	no	—
381	C₂³×C₁₃	—	4	2	no	—
382	C₂³×C₁₃	—	4	8	no	—
383	C₂³×C₁₃	—	4	2	no	—
384	C₂³×C₁₃	—	4	2	no	—
385	C₂³×C₁₃	—	4	2	no	—
386	C₂³×C₁₃	—	4	4	no	—
387	C₂³×C₁₃	—	4	4	no	—
388	C₂³×C₁₃	—	4	2	no	—
389	C₂³×C₁₃	—	4	2	no	—
390	C₂³×C₁₃	—	4	2	no	—
391	C₂³×C₁₃	—	8	2	no	—
392	C₂³×C₁₃	—	8	2	no	—
393	C₂³×C₁₃	—	8	4	no	—
394	C₂³×C₁₃	—	8	1	no	—
395	C₂³×C₁₃	—	8	1	no	—
396	C₂³×C₁₃	—	8	16	no	—
397	C₂³×C₁₃	—	8	16	no	—
398	C₂³×C₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
399	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
400	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
401	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
402	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
403	Q₈×C₁₃	—	2	4	no	—
404	Q₈×C₁₃	—	8	1	no	—
405	D₄×C₁₃	—	2	4	no	—
406	D₄×C₁₃	—	2	4	no	—
407	D₄×C₁₃	—	2	4	no	—
408	D₄×C₁₃	—	2	2	no	—
409	D₄×C₁₃	—	2	4	no	—
410	D₄×C₁₃	—	2	2	no	—
411	D₄×C₁₃	—	2	4	no	—
412	D₄×C₁₃	—	2	2	no	—
413	D₄×C₁₃	—	4	8	no	—
414	D₄×C₁₃	—	4	4	no	—
415	D₄×C₁₃	—	4	4	no	—
416	D₄×C₁₃	—	4	2	no	—
417	D₄×C₁₃	—	4	2	no	—
418	D₄×C₁₃	—	4	8	no	—
419	D₄×C₁₃	—	4	8	no	—
420	D₄×C₁₃	—	4	4	no	—
421	D₄×C₁₃	—	4	4	no	—
422	D₄×C₁₃	—	4	4	no	—
423	D₄×C₁₃	—	4	4	no	—
424	D₄×C₁₃	—	8	1	no	—
425	D₄×C₁₃	—	8	4	no	—
426	D₄×C₁₃	—	8	2	no	—
427	D₄×C₁₃	—	8	2	no	—
428	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
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	4	no	—
433	C₂×C₄×C₁₃	—	2	2	no	—
434	C₂×C₄×C₁₃	—	2	2	no	—
435	C₂×C₄×C₁₃	—	2	2	no	—
436	C₂×C₄×C₁₃	—	2	2	no	—
437	C₂×C₄×C₁₃	—	2	2	no	—
438	C₂×C₄×C₁₃	—	4	2	no	—
439	C₂×C₄×C₁₃	—	4	1	no	—
440	C₂×C₄×C₁₃	—	4	1	no	—
441	C₂×C₄×C₁₃	—	4	1	no	—
442	C₂×C₄×C₁₃	—	4	1	no	—
443	C₂×C₄×C₁₃	—	4	1	no	—
444	C₂×C₄×C₁₃	—	4	8	no	—
445	C₂×C₄×C₁₃	—	4	2	no	—
446	C₂×C₄×C₁₃	—	4	2	no	—
447	C₂×C₄×C₁₃	—	8	2	no	—
448	C₂×C₄×C₁₃	—	8	2	no	—
449	C₂×C₄×C₁₃	—	8	1	no	—
450	C₂×C₄×C₁₃	—	8	1	no	—
451	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
452	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
453	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
454	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
455	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
456	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
457	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
458	C₈×C₁₃	—	2	4	no	—
459	C₈×C₁₃	—	2	4	no	—
460	C₂³×D₄	—	2	1	no	—
461	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
462	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
463	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	4	yes	complemented
464	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
465	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
466	#553	—	2	2	no	—
467	#553	C₂²×C₁₃	1	2	yes	complemented
468	#552	C₂²×C₁₃	1	2	yes	complemented
469	#551	—	2	2	no	—
470	#548	C₂²×C₁₃	1	2	yes	complemented
471	#546	C₂²×C₁₃	1	2	yes	complemented
472	D₄²	—	2	2	no	—
473	D₄²	—	2	2	no	—
474	D₄²	C₂²×C₁₃	1	4	yes	—
475	D₄²	C₂²×C₁₃	1	4	yes	complemented
476	#539	—	2	1	no	—
477	#538	—	2	1	no	—
478	#534	—	2	1	no	—
479	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
480	#529	C₂²×C₁₃	1	2	yes	complemented
481	#525	C₂²×C₁₃	1	2	yes	complemented
482	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
483	C₂×#121	—	2	1	no	—
484	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
485	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
486	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
487	C₂×#120	—	2	1	no	—
488	C₂×#120	—	2	1	no	—
489	#518	—	2	1	no	—
490	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
491	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
492	#496	C₂²×C₁₃	1	4	yes	complemented
493	#490	C₂²×C₁₃	1	4	yes	complemented
494	#483	C₂²×C₁₃	1	2	yes	complemented
495	#482	C₂²×C₁₃	1	4	yes	complemented
496	#481	C₂²×C₁₃	1	2	yes	complemented
497	#480	C₂²×C₁₃	1	2	yes	complemented
498	#480	C₂²×C₁₃	1	2	yes	complemented
499	#478	C₂²×C₁₃	1	4	yes	complemented
500	#469	C₂²×C₁₃	1	4	yes	complemented
501	#468	C₂²×C₁₃	1	4	yes	complemented
502	#466	C₂²×C₁₃	1	4	yes	complemented
503	#465	C₂²×C₁₃	1	4	yes	complemented
504	#463	C₂²×C₁₃	1	4	yes	complemented
505	#460	C₂²×C₁₃	1	4	yes	complemented
506	#459	C₂²×C₁₃	1	4	yes	complemented
507	#450	C₂²×C₁₃	1	2	yes	complemented
508	#450	C₂²×C₁₃	1	2	yes	complemented
509	#450	C₂²×C₁₃	1	2	yes	complemented
510	#450	C₂²×C₁₃	1	4	yes	complemented
511	#450	C₂²×C₁₃	1	4	yes	complemented
512	#449	C₂²×C₁₃	1	4	yes	complemented
513	#448	C₂²×C₁₃	1	2	yes	complemented
514	#447	C₂²×C₁₃	1	2	yes	—
515	#447	C₂²×C₁₃	1	2	yes	complemented
516	#447	C₂²×C₁₃	1	2	yes	complemented
517	#447	C₂²×C₁₃	1	4	yes	complemented
518	#447	C₂²×C₁₃	1	4	yes	complemented
519	#447	C₂²×C₁₃	1	2	yes	complemented
520	#442	C₂²×C₁₃	1	4	yes	complemented
521	#440	C₂²×C₁₃	1	4	yes	complemented
522	#435	C₂²×C₁₃	1	4	yes	complemented
523	#435	C₂²×C₁₃	1	4	yes	complemented
524	#432	C₂²×C₁₃	1	2	yes	complemented
525	#418	C₂²×C₁₃	1	4	yes	complemented
526	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
527	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
528	#407	C₂²×C₁₃	1	2	yes	complemented
529	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
530	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
531	C₂²×C₁₃	—	2	1	no	—
532	C₂²×C₁₃	—	2	1	no	—
533	C₂²×C₁₃	—	2	1	no	—
534	C₂²×C₁₃	—	2	1	no	—
535	C₂²×C₁₃	—	2	1	no	—
536	C₂²×C₁₃	—	2	1	no	—
537	C₂²×C₁₃	—	2	2	no	—
538	C₂²×C₁₃	—	2	2	no	—
539	C₂²×C₁₃	—	2	4	no	—
540	C₂²×C₁₃	—	2	2	no	—
541	C₂²×C₁₃	—	4	4	no	—
542	C₂²×C₁₃	—	4	4	no	—
543	C₂²×C₁₃	—	4	8	no	—
544	C₂²×C₁₃	—	4	2	no	—
545	C₂²×C₁₃	—	4	2	no	—
546	C₂²×C₁₃	—	4	2	no	—
547	C₂²×C₁₃	—	4	2	no	—
548	C₂²×C₁₃	—	4	2	no	—
549	C₂²×C₁₃	—	4	2	no	—
550	C₂²×C₁₃	—	4	2	no	—
551	C₂²×C₁₃	—	4	2	no	—
552	C₂²×C₁₃	—	4	2	no	—
553	C₂²×C₁₃	—	4	2	no	—
554	C₂²×C₁₃	—	4	2	no	—
555	C₂²×C₁₃	—	8	8	no	—
556	C₂²×C₁₃	—	8	8	no	—
557	C₂²×C₁₃	—	8	4	no	—
558	C₂²×C₁₃	—	8	4	no	—
559	C₂²×C₁₃	—	8	16	no	—
560	C₂²×C₁₃	—	16	2	no	—
561	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
562	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
563	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
564	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
565	C₄×C₁₃	—	2	2	no	—
566	C₄×C₁₃	—	2	1	no	—
567	C₄×C₁₃	—	2	2	no	—
568	C₄×C₁₃	—	2	1	no	—
569	C₄×C₁₃	—	2	1	no	—
570	C₄×C₁₃	—	2	2	no	—
571	C₄×C₁₃	—	4	2	no	—
572	C₄×C₁₃	—	4	2	no	—
573	C₄×C₁₃	—	4	2	no	—
574	C₄×C₁₃	—	4	2	no	—
575	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
576	C₂⁵	—	2	1	no	—
577	C₂⁵	—	2	1	no	—
578	C₂×#41	C₂³×C₁₃	1	2	yes	complemented
579	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
580	C₂²×D₄	—	2	1	no	—
581	C₂²×D₄	—	2	1	no	—
582	C₂²×D₄	—	2	1	no	—
583	C₂²×D₄	—	2	4	no	—
584	C₂²×D₄	—	2	4	no	—
585	C₂²×D₄	—	2	1	no	—
586	C₂²×D₄	—	2	1	no	—
587	C₂²×D₄	—	2	1	no	—
588	C₂²×D₄	—	2	1	no	—
589	C₂²×D₄	—	2	1	no	—
590	C₂²×D₄	—	2	2	no	—
591	C₂²×D₄	—	2	1	no	—
592	C₂²×D₄	—	4	4	no	—
593	C₂²×D₄	—	4	4	no	—
594	C₂²×D₄	—	4	8	no	—
595	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
596	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
597	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
598	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
599	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
600	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
601	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
602	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
603	C₂³×C₄	—	2	1	no	—
604	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
605	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
606	AGL(1,ℤ/8)	—	4	8	no	—
607	C₂×SD₁₆	—	4	4	no	—
608	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
609	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
610	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
611	C₂×D₈	—	4	4	no	—
612	C₂×D₈	C₂³×C₁₃	1	4	yes	—
613	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
614	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
615	C₂×M₁₆	C₂³×C₁₃	1	4	yes	complemented
616	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
617	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
618	#127	—	2	2	no	—
619	#127	C₂³×C₁₃	1	4	yes	—
620	#126	—	2	2	no	—
621	#126	—	2	2	no	—
622	#126	—	2	2	no	—
623	#125	—	2	2	no	—
624	#125	C₂³×C₁₃	1	2	yes	complemented
625	#124	—	2	2	no	—
626	#124	C₂³×C₁₃	1	2	yes	complemented
627	#123	—	2	2	no	—
628	#123	—	2	2	no	—
629	#123	—	2	2	no	—
630	#123	—	2	2	no	—
631	#123	—	2	2	no	—
632	C₂²⋊Q₈	—	2	1	no	—
633	C₂²⋊Q₈	—	2	1	no	—
634	C₂²⋊Q₈	—	2	2	no	—
635	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
636	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
637	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
638	#121	—	2	2	no	—
639	#121	—	2	2	no	—
640	#121	—	2	1	no	—
641	#121	—	2	1	no	—
642	#121	—	2	1	no	—
643	#121	—	2	2	no	—
644	#121	—	2	1	no	—
645	#121	—	2	4	no	—
646	#121	—	2	4	no	—
647	#121	—	2	2	no	—
648	#121	C₂³×C₁₃	1	2	yes	—
649	#121	C₂³×C₁₃	1	2	yes	—
650	#121	C₂³×C₁₃	1	2	yes	—
651	#121	C₂³×C₁₃	1	4	yes	—
652	#121	C₂³×C₁₃	1	2	yes	complemented
653	#121	C₂³×C₁₃	1	2	yes	complemented
654	#120	—	2	2	no	—
655	#120	—	2	2	no	—
656	#120	—	2	4	no	—
657	#120	—	2	4	no	—
658	#120	—	2	4	no	—
659	#120	—	2	4	no	—
660	C₄×Q₈	C₂³×C₁₃	1	2	yes	complemented
661	C₄×D₄	—	2	2	no	—
662	C₄×D₄	—	2	2	no	—
663	C₄×D₄	—	2	2	no	—
664	C₄×D₄	—	2	2	no	—
665	C₄×D₄	—	2	2	no	—
666	C₄×D₄	—	2	2	no	—
667	C₄×D₄	D₄×C₁₃	1	2	yes	—
668	C₄×D₄	D₄×C₁₃	1	2	yes	—
669	C₄×D₄	C₂³×C₁₃	1	4	yes	—
670	C₄×D₄	C₂³×C₁₃	1	2	yes	—
671	C₄×D₄	C₂³×C₁₃	1	2	yes	—
672	C₄×D₄	C₂³×C₁₃	1	2	yes	complemented
673	#117	—	2	2	no	—
674	#117	—	2	2	no	—
675	#117	C₂³×C₁₃	1	2	yes	complemented
676	C₂×C₄⋊C₄	—	2	1	no	—
677	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
680	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
681	C₂×C₂²⋊C₄	—	2	1	no	—
682	C₂×C₂²⋊C₄	—	2	1	no	—
683	C₂×C₂²⋊C₄	—	2	1	no	—
684	C₂×C₂²⋊C₄	—	2	1	no	—
685	C₂×C₂²⋊C₄	—	2	1	no	—
686	C₂×C₂²⋊C₄	—	2	2	no	—
687	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
689	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
690	#107	C₂³×C₁₃	1	4	yes	complemented
691	#106	C₂³×C₁₃	1	4	yes	complemented
692	C₄⋊C₈	C₂³×C₁₃	1	4	yes	complemented
693	#103	C₂³×C₁₃	1	4	yes	complemented
694	#102	C₂³×C₁₃	1	4	yes	—
695	#102	C₂³×C₁₃	1	4	yes	—
696	#102	C₂³×C₁₃	1	4	yes	complemented
697	#102	C₂³×C₁₃	1	4	yes	complemented
698	#102	C₂³×C₁₃	1	4	yes	complemented
699	#102	C₂³×C₁₃	1	4	yes	complemented
700	#102	C₂³×C₁₃	1	4	yes	complemented
701	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
702	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
703	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
704	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
705	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
706	#97	C₂³×C₁₃	1	4	yes	complemented
707	C₂×C₁₃	—	2	2	no	—
708	C₂×C₁₃	—	2	2	no	—
709	C₂×C₁₃	—	2	2	no	—
710	C₂×C₁₃	—	4	2	no	—
711	C₂×C₁₃	—	4	4	no	—
712	C₂×C₁₃	—	8	2	no	—
713	C₂×C₁₃	—	8	2	no	—
714	C₂×C₁₃	—	8	2	no	—
715	C₂×C₁₃	#3484	1	1	yes	characteristic
716	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
717	C₂×C₁₃	#3585	1	1	yes	characteristic
718	C₂⁴	—	2	1	no	—
719	C₂⁴	—	2	1	no	—
720	C₂⁴	—	2	1	no	—
721	C₂⁴	—	2	4	no	—
722	C₂⁴	—	2	2	no	—
723	C₂⁴	—	2	2	no	—
724	C₂⁴	—	2	1	no	—
725	C₂⁴	—	4	4	no	—
726	C₂⁴	—	4	4	no	—
727	C₂⁴	—	4	4	no	—
728	C₂⁴	—	4	4	no	—
729	C₂⁴	—	8	2	no	—
730	C₂⁴	—	8	2	no	—
731	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
732	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
733	#41	—	4	4	no	—
734	C₂×Q₈	—	2	1	no	—
735	C₂×Q₈	—	4	2	no	—
736	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
737	C₂×D₄	—	2	4	no	—
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	4	no	—
740	C₂×D₄	—	2	4	no	—
741	C₂×D₄	—	2	8	no	—
742	C₂×D₄	—	2	2	no	—
743	C₂×D₄	—	2	2	no	—
744	C₂×D₄	—	2	4	no	—
745	C₂×D₄	—	2	2	no	—
746	C₂×D₄	—	2	2	no	—
747	C₂×D₄	—	2	2	no	—
748	C₂×D₄	—	2	2	no	—
749	C₂×D₄	—	2	1	no	—
750	C₂×D₄	—	2	4	no	—
751	C₂×D₄	—	2	2	no	—
752	C₂×D₄	—	2	2	no	—
753	C₂×D₄	—	2	1	no	—
754	C₂×D₄	—	2	1	no	—
755	C₂×D₄	—	2	4	no	—
756	C₂×D₄	—	2	4	no	—
757	C₂×D₄	—	2	1	no	—
758	C₂×D₄	—	4	2	no	—
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	4	4	no	—
761	C₂×D₄	—	4	2	no	—
762	C₂×D₄	—	4	2	no	—
763	C₂×D₄	—	4	2	no	—
764	C₂×D₄	—	4	4	no	—
765	C₂×D₄	—	4	4	no	—
766	C₂×D₄	—	4	4	no	—
767	C₂×D₄	—	4	8	no	—
768	C₂×D₄	—	4	16	no	—
769	C₂×D₄	—	4	16	no	—
770	C₂×D₄	—	4	4	no	—
771	C₂×D₄	—	4	4	no	—
772	C₂×D₄	—	4	4	no	—
773	C₂×D₄	—	4	4	no	—
774	C₂×D₄	—	4	4	no	—
775	C₂×D₄	—	8	2	no	—
776	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
777	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
778	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
779	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
780	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
781	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
782	C₂²×C₄	—	2	1	no	—
783	C₂²×C₄	—	2	1	no	—
784	C₂²×C₄	—	2	1	no	—
785	C₂²×C₄	—	2	1	no	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	2	2	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	4	2	no	—
790	C₂²×C₄	—	4	2	no	—
791	C₂²×C₄	—	4	4	no	—
792	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
793	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
794	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
795	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
796	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
797	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
798	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
799	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
800	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
801	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
802	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
803	SD₁₆	—	2	8	no	—
804	SD₁₆	—	4	4	no	—
805	SD₁₆	—	4	4	no	—
806	D₈	—	2	8	no	—
807	D₈	—	4	4	no	—
808	D₈	—	4	4	no	—
809	M₁₆	—	4	4	no	—
810	C₂×C₈	—	4	2	no	—
811	C₂×C₈	—	4	2	no	—
812	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
813	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
814	C₄⋊C₄	—	2	2	no	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	—	2	1	no	—
817	C₄⋊C₄	—	2	1	no	—
818	C₄⋊C₄	—	2	1	no	—
819	C₄⋊C₄	—	2	2	no	—
820	C₄⋊C₄	—	2	2	no	—
821	C₄⋊C₄	—	2	2	no	—
822	C₄⋊C₄	—	2	2	no	—
823	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
824	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
825	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
826	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
827	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
828	C₂²⋊C₄	—	2	2	no	—
829	C₂²⋊C₄	—	2	2	no	—
830	C₂²⋊C₄	—	2	2	no	—
831	C₂²⋊C₄	—	2	2	no	—
832	C₂²⋊C₄	—	2	2	no	—
833	C₂²⋊C₄	—	2	2	no	—
834	C₂²⋊C₄	—	2	2	no	—
835	C₂²⋊C₄	—	2	4	no	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	2	no	—
838	C₂²⋊C₄	—	2	2	no	—
839	C₂²⋊C₄	—	2	2	no	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
843	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
844	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
845	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
846	C₄²	—	2	2	no	—
847	C₄²	—	2	2	no	—
848	C₄²	C₂×D₄×C₁₃	1	2	yes	—
849	C₄²	C₂⁴×C₁₃	1	2	yes	—
850	C₁₃	#61571	1	1	yes	characteristic, direct product factor, Sylow
851	C₂³	—	2	4	no	—
852	C₂³	—	2	2	no	—
853	C₂³	—	2	2	no	—
854	C₂³	—	2	2	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	4	1	no	—
858	C₂³	—	4	1	no	—
859	C₂³	—	4	1	no	—
860	C₂³	—	4	1	no	—
861	C₂³	—	4	4	no	—
862	C₂³	—	4	4	no	—
863	C₂³	—	4	8	no	—
864	C₂³	—	4	2	no	—
865	C₂³	—	4	2	no	—
866	C₂³	—	4	2	no	—
867	C₂³	—	4	8	no	—
868	C₂³	—	4	2	no	—
869	C₂³	—	4	2	no	—
870	C₂³	—	4	2	no	—
871	C₂³	—	4	4	no	—
872	C₂³	—	4	4	no	—
873	C₂³	—	4	2	no	—
874	C₂³	—	4	2	no	—
875	C₂³	—	4	2	no	—
876	C₂³	—	8	2	no	—
877	C₂³	—	8	2	no	—
878	C₂³	—	8	4	no	—
879	C₂³	—	8	1	no	—
880	C₂³	—	8	1	no	—
881	C₂³	—	8	16	no	—
882	C₂³	—	8	16	no	—
883	C₂³	C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
884	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
885	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
886	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
887	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
888	Q₈	—	2	4	no	—
889	Q₈	—	8	1	no	—
890	D₄	—	2	4	no	—
891	D₄	—	2	4	no	—
892	D₄	—	2	4	no	—
893	D₄	—	2	2	no	—
894	D₄	—	2	4	no	—
895	D₄	—	2	2	no	—
896	D₄	—	2	4	no	—
897	D₄	—	2	2	no	—
898	D₄	—	4	8	no	—
899	D₄	—	4	4	no	—
900	D₄	—	4	4	no	—
901	D₄	—	4	8	no	—
902	D₄	—	4	2	no	—
903	D₄	—	4	2	no	—
904	D₄	—	4	8	no	—
905	D₄	—	4	4	no	—
906	D₄	—	4	4	no	—
907	D₄	—	4	4	no	—
908	D₄	—	4	4	no	—
909	D₄	—	8	1	no	—
910	D₄	—	8	4	no	—
911	D₄	—	8	2	no	—
912	D₄	—	8	2	no	—
913	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	4	no	—
918	C₂×C₄	—	2	2	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	4	2	no	—
924	C₂×C₄	—	4	1	no	—
925	C₂×C₄	—	4	1	no	—
926	C₂×C₄	—	4	1	no	—
927	C₂×C₄	—	4	1	no	—
928	C₂×C₄	—	4	1	no	—
929	C₂×C₄	—	4	8	no	—
930	C₂×C₄	—	4	2	no	—
931	C₂×C₄	—	4	2	no	—
932	C₂×C₄	—	8	2	no	—
933	C₂×C₄	—	8	2	no	—
934	C₂×C₄	—	8	1	no	—
935	C₂×C₄	—	8	1	no	—
936	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
937	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
938	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
939	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
940	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
941	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
942	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
943	C₈	—	2	4	no	—
944	C₈	—	2	4	no	—
945	C₂²	—	2	1	no	—
946	C₂²	—	2	1	no	—
947	C₂²	—	2	1	no	—
948	C₂²	—	2	1	no	—
949	C₂²	—	2	1	no	—
950	C₂²	—	2	1	no	—
951	C₂²	—	2	2	no	—
952	C₂²	—	2	2	no	—
953	C₂²	—	2	2	no	—
954	C₂²	—	2	4	no	—
955	C₂²	—	4	4	no	—
956	C₂²	—	4	4	no	—
957	C₂²	—	4	8	no	—
958	C₂²	—	4	2	no	—
959	C₂²	—	4	2	no	—
960	C₂²	—	4	2	no	—
961	C₂²	—	4	2	no	—
962	C₂²	—	4	2	no	—
963	C₂²	—	4	2	no	—
964	C₂²	—	4	2	no	—
965	C₂²	—	4	2	no	—
966	C₂²	—	4	2	no	—
967	C₂²	—	4	2	no	—
968	C₂²	—	4	2	no	—
969	C₂²	—	8	8	no	—
970	C₂²	—	8	8	no	—
971	C₂²	—	8	4	no	—
972	C₂²	—	8	4	no	—
973	C₂²	—	8	16	no	—
974	C₂²	—	16	2	no	—
975	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
976	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
977	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
978	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
979	C₄	—	2	2	no	—
980	C₄	—	2	2	no	—
981	C₄	—	2	1	no	—
982	C₄	—	2	2	no	—
983	C₄	—	2	1	no	—
984	C₄	—	2	1	no	—
985	C₄	—	4	2	no	—
986	C₄	—	4	2	no	—
987	C₄	—	4	2	no	—
988	C₄	—	4	2	no	—
989	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
990	C₂	—	2	2	no	—
991	C₂	—	2	2	no	—
992	C₂	—	2	2	no	—
993	C₂	—	4	2	no	—
994	C₂	—	4	4	no	—
995	C₂	—	8	2	no	—
996	C₂	—	8	2	no	—
997	C₂	—	8	2	no	—
998	C₂	C₁₃×#3484	1	1	yes	characteristic
999	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1000	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3505	C₂	semidirect
2. C₂×D₄²×C₁₃	C₂	semidirect
3. C₁₃×#3318	C₂	semidirect
4. C₁₃×#3310	C₂	semidirect
5. C₁₃×#3265	C₂	semidirect
6. C₁₃×#3264	C₂	semidirect
7. C₁₃×#3217	C₂	semidirect
8. C₁₃×#3194	C₂	semidirect
9. C₁₃×#3187	C₂	semidirect
10. C₁₃×#3186	C₂	semidirect
11. C₁₃×#3114	C₂	semidirect
12. C₁₃×#3003	C₂	semidirect
13. C₂×C₁₃×#450	C₂	semidirect
14. C₂×C₁₃×#447	C₂	semidirect
15. C₁₃×#2973	C₂	semidirect
18. C₂³×D₄×C₁₃	C₂²	semidirect
19. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
20. C₂²×C₁₃×SD₁₆	C₂²	semidirect
21. C₂²×C₁₃×D₈	C₂²	semidirect
23. C₁₃×#553	C₂²	semidirect
24. C₁₃×#552	C₂²	semidirect
26. C₁₃×#548	C₂²	semidirect
27. C₁₃×#546	C₂²	semidirect
31. D₄²×C₁₃	C₂²	semidirect
35. C₂×C₁₃×#127	C₂²	semidirect
36. C₁₃×#529	C₂²	semidirect
37. C₁₃×#525	C₂²	semidirect
38. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
41. C₂×C₁₃×#121	C₂²	semidirect
42. C₂×C₁₃×#121	C₂²	semidirect
47. C₂×C₄×D₄×C₁₃	C₂²	semidirect
48. C₁₃×#496	C₂²	semidirect
49. C₁₃×#490	C₂²	semidirect
50. C₁₃×#483	C₂²	semidirect
51. C₁₃×#482	C₂²	semidirect
52. C₁₃×#481	C₂²	semidirect
53. C₁₃×#480	C₂²	semidirect
54. C₁₃×#480	C₂²	semidirect
55. C₁₃×#478	C₂²	semidirect
56. C₁₃×#469	C₂²	semidirect
57. C₁₃×#468	C₂²	semidirect
58. C₁₃×#466	C₂²	semidirect
59. C₁₃×#465	C₂²	semidirect
60. C₁₃×#463	C₂²	semidirect
61. C₁₃×#460	C₂²	semidirect
62. C₁₃×#459	C₂²	semidirect
63. C₁₃×#450	C₂²	semidirect
64. C₁₃×#450	C₂²	semidirect
65. C₁₃×#450	C₂²	semidirect
66. C₁₃×#450	C₂²	semidirect
67. C₁₃×#450	C₂²	semidirect
68. C₁₃×#449	C₂²	semidirect
69. C₁₃×#448	C₂²	semidirect
71. C₁₃×#447	C₂²	semidirect
72. C₁₃×#447	C₂²	semidirect
73. C₁₃×#447	C₂²	semidirect
74. C₁₃×#447	C₂²	semidirect
75. C₁₃×#447	C₂²	semidirect
76. C₁₃×#442	C₂²	semidirect
77. C₁₃×#440	C₂²	semidirect
78. C₁₃×#435	C₂²	semidirect
79. C₁₃×#435	C₂²	semidirect
80. C₁₃×#432	C₂²	semidirect
81. C₁₃×#418	C₂²	semidirect
82. C₂×C₁₃×#102	C₂²	semidirect
83. C₂×C₁₃×#102	C₂²	semidirect
84. C₁₃×#407	C₂²	semidirect
85. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
86. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
89. C₂×C₁₃×#41	C₂³	semidirect
90. C₂²×Q₈×C₁₃	C₂³	semidirect
113. C₂²×D₄×C₁₃	C₂³	semidirect
120. C₂×C₁₃×SD₁₆	C₂³	semidirect
121. C₂×C₁₃×SD₁₆	C₂³	semidirect
124. C₂×C₁₃×D₈	C₂³	semidirect
125. C₂×C₁₃×D₈	C₂³	semidirect
126. C₂×C₁₃×M₁₆	C₂³	semidirect
127. C₂²×C₈×C₁₃	C₂³	semidirect
128. C₂²×C₈×C₁₃	C₂³	semidirect
135. C₁₃×#125	C₂³	semidirect
137. C₁₃×#124	C₂³	semidirect
147. C₁₃×C₂²⋊Q₈	C₂³	semidirect
148. C₁₃×C₂²⋊Q₈	C₂³	semidirect
163. C₁₃×#121	C₂³	semidirect
164. C₁₃×#121	C₂³	semidirect
171. C₄×Q₈×C₁₃	C₂³	semidirect
183. C₄×D₄×C₁₃	C₂³	semidirect
186. C₁₃×#117	C₂³	semidirect
190. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
191. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
201. C₁₃×#107	C₂³	semidirect
202. C₁₃×#106	C₂³	semidirect
203. C₁₃×C₄⋊C₈	C₂³	semidirect
204. C₁₃×#103	C₂³	semidirect
207. C₁₃×#102	C₂³	semidirect
208. C₁₃×#102	C₂³	semidirect
209. C₁₃×#102	C₂³	semidirect
210. C₁₃×#102	C₂³	semidirect
211. C₁₃×#102	C₂³	semidirect
214. C₁₃×C₂²⋊C₈	C₂³	semidirect
215. C₁₃×C₂²⋊C₈	C₂³	semidirect
216. C₁₃×C₂²⋊C₈	C₂³	semidirect
217. C₁₃×#97	C₂³	semidirect
218. #61571	C₁₃	direct (N × H)
351. #3505	C₂×C₁₃	semidirect
352. C₂×D₄²	C₂×C₁₃	semidirect
353. #3318	C₂×C₁₃	semidirect
354. #3310	C₂×C₁₃	semidirect
355. #3265	C₂×C₁₃	semidirect
356. #3264	C₂×C₁₃	semidirect
357. #3217	C₂×C₁₃	semidirect
358. #3194	C₂×C₁₃	semidirect
359. #3187	C₂×C₁₃	semidirect
360. #3186	C₂×C₁₃	semidirect
361. #3114	C₂×C₁₃	semidirect
362. #3003	C₂×C₁₃	semidirect
363. C₂×#450	C₂×C₁₃	semidirect
364. C₂×#447	C₂×C₁₃	semidirect
365. #2973	C₂×C₁₃	semidirect
398. C₂³×C₁₃	AGL(1,ℤ/8)	semidirect
462. C₂³×D₄	C₂²×C₁₃	semidirect
463. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
464. C₂²×SD₁₆	C₂²×C₁₃	semidirect
465. C₂²×D₈	C₂²×C₁₃	semidirect
467. #553	C₂²×C₁₃	semidirect
468. #552	C₂²×C₁₃	semidirect
470. #548	C₂²×C₁₃	semidirect
471. #546	C₂²×C₁₃	semidirect
475. D₄²	C₂²×C₁₃	semidirect
479. C₂×#127	C₂²×C₁₃	semidirect
480. #529	C₂²×C₁₃	semidirect
481. #525	C₂²×C₁₃	semidirect
482. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
485. C₂×#121	C₂²×C₁₃	semidirect
486. C₂×#121	C₂²×C₁₃	semidirect
491. C₂×C₄×D₄	C₂²×C₁₃	semidirect
492. #496	C₂²×C₁₃	semidirect
493. #490	C₂²×C₁₃	semidirect
494. #483	C₂²×C₁₃	semidirect
495. #482	C₂²×C₁₃	semidirect
496. #481	C₂²×C₁₃	semidirect
497. #480	C₂²×C₁₃	semidirect
498. #480	C₂²×C₁₃	semidirect
499. #478	C₂²×C₁₃	semidirect
500. #469	C₂²×C₁₃	semidirect
501. #468	C₂²×C₁₃	semidirect
502. #466	C₂²×C₁₃	semidirect
503. #465	C₂²×C₁₃	semidirect
504. #463	C₂²×C₁₃	semidirect
505. #460	C₂²×C₁₃	semidirect
506. #459	C₂²×C₁₃	semidirect
507. #450	C₂²×C₁₃	semidirect
508. #450	C₂²×C₁₃	semidirect
509. #450	C₂²×C₁₃	semidirect
510. #450	C₂²×C₁₃	semidirect
511. #450	C₂²×C₁₃	semidirect
512. #449	C₂²×C₁₃	semidirect
513. #448	C₂²×C₁₃	semidirect
515. #447	C₂²×C₁₃	semidirect
516. #447	C₂²×C₁₃	semidirect
517. #447	C₂²×C₁₃	semidirect
518. #447	C₂²×C₁₃	semidirect
519. #447	C₂²×C₁₃	semidirect
520. #442	C₂²×C₁₃	semidirect
521. #440	C₂²×C₁₃	semidirect
522. #435	C₂²×C₁₃	semidirect
523. #435	C₂²×C₁₃	semidirect
524. #432	C₂²×C₁₃	semidirect
525. #418	C₂²×C₁₃	semidirect
526. C₂×#102	C₂²×C₁₃	semidirect
527. C₂×#102	C₂²×C₁₃	semidirect
528. #407	C₂²×C₁₃	semidirect
529. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
530. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
578. C₂×#41	C₂³×C₁₃	semidirect
579. C₂²×Q₈	C₂³×C₁₃	semidirect
602. C₂²×D₄	C₂³×C₁₃	semidirect
609. C₂×SD₁₆	C₂³×C₁₃	semidirect
610. C₂×SD₁₆	C₂³×C₁₃	semidirect
613. C₂×D₈	C₂³×C₁₃	semidirect
614. C₂×D₈	C₂³×C₁₃	semidirect
615. C₂×M₁₆	C₂³×C₁₃	semidirect
616. C₂²×C₈	C₂³×C₁₃	semidirect
617. C₂²×C₈	C₂³×C₁₃	semidirect
624. #125	C₂³×C₁₃	semidirect
626. #124	C₂³×C₁₃	semidirect
636. C₂²⋊Q₈	C₂³×C₁₃	semidirect
637. C₂²⋊Q₈	C₂³×C₁₃	semidirect
652. #121	C₂³×C₁₃	semidirect
653. #121	C₂³×C₁₃	semidirect
660. C₄×Q₈	C₂³×C₁₃	semidirect
672. C₄×D₄	C₂³×C₁₃	semidirect
675. #117	C₂³×C₁₃	semidirect
679. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
680. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
690. #107	C₂³×C₁₃	semidirect
691. #106	C₂³×C₁₃	semidirect
692. C₄⋊C₈	C₂³×C₁₃	semidirect
693. #103	C₂³×C₁₃	semidirect
696. #102	C₂³×C₁₃	semidirect
697. #102	C₂³×C₁₃	semidirect
698. #102	C₂³×C₁₃	semidirect
699. #102	C₂³×C₁₃	semidirect
700. #102	C₂³×C₁₃	semidirect
703. C₂²⋊C₈	C₂³×C₁₃	semidirect
704. C₂²⋊C₈	C₂³×C₁₃	semidirect
705. C₂²⋊C₈	C₂³×C₁₃	semidirect
706. #97	C₂³×C₁₃	semidirect
850. C₁₃	#61571	direct (N × H)
883. C₂³	C₁₃×AGL(1,ℤ/8)	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#3505	2
C₂×D₄²×C₁₃	2
C₁₃×#3318	2
C₁₃×#3310	2
C₁₃×#3265	2
C₁₃×#3264	2
C₁₃×#3217	2
C₁₃×#3194	2
C₁₃×#3187	2
C₁₃×#3186	2
C₁₃×#3114	2
C₁₃×#3003	2
C₂×C₁₃×#450	2
C₂×C₁₃×#447	2
C₁₃×#2973	2
#61571	13

Subgroups — C13×#61571 #15747910

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61571 #15747910