Subgroups — C₁₃×#61072 #15747411

Order 3328.

2944 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#576	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
6	D₄×C₁₃×D₈	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3274	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3273	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3155	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3041	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2933	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#576	—	2	8	no	—
29	C₂×C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
30	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
35	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
38	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
42	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
43	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
44	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
47	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#550	C₂²	1	2	yes	complemented
50	C₁₃×#548	C₂²	1	2	yes	complemented
51	C₁₃×#546	—	2	2	no	—
52	C₁₃×#546	—	2	1	no	—
53	C₁₃×#546	—	2	1	no	—
54	C₁₃×#546	C₂²	1	2	yes	complemented
55	C₁₃×#546	C₂²	1	2	yes	complemented
56	C₁₃×#546	C₂²	1	2	yes	complemented
57	D₄²×C₁₃	—	2	1	no	—
58	D₄²×C₁₃	—	2	1	no	—
59	D₄²×C₁₃	—	2	2	no	—
60	D₄²×C₁₃	C₂²	1	2	yes	complemented
61	D₄²×C₁₃	C₂²	1	2	yes	complemented
62	D₄²×C₁₃	C₂²	1	2	yes	complemented
63	C₁₃×#537	—	2	1	no	—
64	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#535	—	2	1	no	—
66	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#534	—	2	2	no	—
70	C₁₃×#525	—	2	1	no	—
71	C₁₃×#525	C₂²	1	1	yes	characteristic
72	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₁₃×#121	—	2	1	no	—
74	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₁₃×#120	—	2	2	no	—
76	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#496	C₂²	1	2	yes	complemented
79	C₁₃×#496	C₂²	1	2	yes	complemented
80	C₁₃×#495	C₂²	1	2	yes	complemented
81	C₁₃×#493	C₂²	1	2	yes	complemented
82	C₁₃×#469	C₂²	1	2	yes	complemented
83	C₁₃×#469	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#466	C₂²	1	2	yes	complemented
87	C₁₃×#466	C₂²	1	2	yes	complemented
88	C₁₃×#465	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#463	C₂²	1	2	yes	complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#460	C₂²	1	2	yes	complemented
95	C₁₃×#459	C₂²	1	2	yes	complemented
96	C₁₃×#459	C₂²	1	2	yes	complemented
97	C₁₃×#459	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#452	C₂²	1	2	yes	complemented
101	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#450	C₂²	1	2	yes	complemented
104	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#449	C₂²	1	2	yes	complemented
107	C₁₃×#449	C₂²	1	2	yes	complemented
108	C₁₃×#449	C₂²	1	2	yes	complemented
109	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#447	C₂²	1	2	yes	complemented
111	C₁₃×#447	C₂²	1	2	yes	complemented
112	C₁₃×#447	C₂²	1	2	yes	complemented
113	C₁₃×#447	C₂²	1	2	yes	complemented
114	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#447	C₂²	1	2	yes	complemented
116	C₁₃×#447	C₂²	1	2	yes	complemented
117	C₁₃×#447	C₂²	1	2	yes	complemented
118	C₁₃×#442	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
121	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
126	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
137	C₂⁵×C₁₃	—	2	1	no	—
138	C₁₃×H(5,𝔽₂)	—	2	4	no	—
139	C₁₃×H(5,𝔽₂)	—	2	4	no	—
140	C₁₃×H(5,𝔽₂)	—	4	2	no	—
141	C₁₃×H(5,𝔽₂)	—	4	2	no	—
142	C₂×C₁₃×#41	—	2	1	no	—
143	C₂×C₁₃×#41	—	2	1	no	—
144	C₂×C₁₃×#41	—	2	1	no	—
145	C₂×C₁₃×#41	—	2	1	no	—
146	C₂×C₁₃×#41	—	2	4	no	—
147	C₂×C₁₃×#41	—	4	2	no	—
148	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×#41	C₂³	1	2	yes	—
151	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
156	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
157	C₂²×D₄×C₁₃	—	2	4	no	—
158	C₂²×D₄×C₁₃	—	2	1	no	—
159	C₂²×D₄×C₁₃	—	2	1	no	—
160	C₂²×D₄×C₁₃	—	2	2	no	—
161	C₂²×D₄×C₁₃	—	2	1	no	—
162	C₂²×D₄×C₁₃	—	2	1	no	—
163	C₂²×D₄×C₁₃	—	2	2	no	—
164	C₂²×D₄×C₁₃	—	2	2	no	—
165	C₂²×D₄×C₁₃	—	2	2	no	—
166	C₂²×D₄×C₁₃	—	2	2	no	—
167	C₂²×D₄×C₁₃	—	2	1	no	—
168	C₂²×D₄×C₁₃	—	2	1	no	—
169	C₂²×D₄×C₁₃	—	2	1	no	—
170	C₂²×D₄×C₁₃	—	4	2	no	—
171	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
172	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
173	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
174	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
175	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
176	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
177	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
178	C₂²×D₄×C₁₃	C₂³	1	2	yes	complemented
179	C₂³×C₄×C₁₃	—	2	1	no	—
180	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
181	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
182	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
183	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
184	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
185	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
186	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
187	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
188	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
189	C₁₃×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
190	C₁₃×#135	—	2	4	no	—
191	C₁₃×#135	—	2	8	no	—
192	C₁₃×#135	—	4	2	no	—
193	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
194	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
195	C₂×C₁₃×SD₁₆	—	2	8	no	—
196	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
197	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
198	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
199	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
200	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
201	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
202	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
203	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
204	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
205	C₂×C₁₃×D₈	—	2	4	no	—
206	C₂×C₁₃×D₈	—	2	8	no	—
207	C₂×C₁₃×D₈	—	2	8	no	—
208	C₂×C₁₃×D₈	—	4	2	no	—
209	C₂×C₁₃×D₈	C₂³	1	2	yes	—
210	C₂×C₁₃×D₈	C₂³	1	2	yes	—
211	C₂×C₁₃×D₈	C₂³	1	2	yes	—
212	C₂×C₁₃×D₈	C₂³	1	2	yes	—
213	C₂×C₁₃×D₈	C₂³	1	2	yes	—
214	C₂×C₁₃×D₈	C₂³	1	2	yes	—
215	C₂×C₁₃×D₈	C₂³	1	2	yes	—
216	C₂×C₁₃×D₈	C₂³	1	2	yes	—
217	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
218	C₂×C₁₃×D₈	C₂³	1	2	yes	complemented
219	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
220	C₁₃×#131	—	2	4	no	—
221	C₂×C₁₃×M₁₆	—	2	4	no	—
222	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
224	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×M₁₆	C₂³	1	2	yes	complemented
226	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
229	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
230	C₁₃×#127	—	2	2	no	—
231	C₁₃×#127	—	2	1	no	—
232	C₁₃×#127	C₂³	1	2	yes	—
233	C₁₃×#127	C₂³	1	2	yes	complemented
234	C₁₃×#124	—	2	1	no	—
235	C₁₃×#124	—	2	2	no	—
236	C₁₃×#124	C₂³	1	2	yes	—
237	C₁₃×#124	C₂³	1	2	yes	complemented
238	C₁₃×#123	—	2	1	no	—
239	C₁₃×#123	—	2	2	no	—
240	C₁₃×#123	—	2	2	no	—
241	C₁₃×#123	—	2	2	no	—
242	C₁₃×#123	D₄	1	2	yes	—
243	C₁₃×C₂²⋊Q₈	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	—	2	2	no	—
245	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
250	C₁₃×#121	—	2	1	no	—
251	C₁₃×#121	—	2	2	no	—
252	C₁₃×#121	—	2	2	no	—
253	C₁₃×#121	—	2	1	no	—
254	C₁₃×#121	—	2	1	no	—
255	C₁₃×#121	—	2	1	no	—
256	C₁₃×#121	—	2	1	no	—
257	C₁₃×#121	—	2	2	no	—
258	C₁₃×#121	—	2	2	no	—
259	C₁₃×#121	—	2	1	no	—
260	C₁₃×#121	—	2	1	no	—
261	C₁₃×#121	—	2	2	no	—
262	C₁₃×#121	—	2	2	no	—
263	C₁₃×#121	—	2	2	no	—
264	C₁₃×#121	—	2	2	no	—
265	C₁₃×#121	—	2	2	no	—
266	C₁₃×#121	—	2	2	no	—
267	C₁₃×#121	D₄	1	1	yes	characteristic
268	C₁₃×#121	D₄	1	1	yes	characteristic
269	C₁₃×#121	C₂³	1	2	yes	—
270	C₁₃×#121	C₂³	1	2	yes	—
271	C₁₃×#121	C₂³	1	1	yes	characteristic
272	C₁₃×#121	C₂³	1	2	yes	—
273	C₁₃×#121	C₂³	1	2	yes	—
274	C₁₃×#121	C₂³	1	1	yes	characteristic
275	C₁₃×#121	C₂³	1	2	yes	complemented
276	C₁₃×#120	—	2	1	no	—
277	C₁₃×#120	—	2	2	no	—
278	C₁₃×#120	—	2	2	no	—
279	C₁₃×#120	—	2	2	no	—
280	C₁₃×#120	—	2	2	no	—
281	C₁₃×#120	—	2	2	no	—
282	C₁₃×#120	—	2	2	no	—
283	C₁₃×#120	—	2	2	no	—
284	C₁₃×#120	—	2	2	no	—
285	C₁₃×#120	—	2	2	no	—
286	C₁₃×#120	—	2	2	no	—
287	C₁₃×#120	—	2	2	no	—
288	C₁₃×#120	—	2	2	no	—
289	C₁₃×#120	D₄	1	2	yes	—
290	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
291	C₄×D₄×C₁₃	—	2	1	no	—
292	C₄×D₄×C₁₃	—	2	1	no	—
293	C₄×D₄×C₁₃	—	2	1	no	—
294	C₄×D₄×C₁₃	—	2	1	no	—
295	C₄×D₄×C₁₃	—	2	2	no	—
296	C₄×D₄×C₁₃	—	2	2	no	—
297	C₄×D₄×C₁₃	—	2	2	no	—
298	C₄×D₄×C₁₃	C₂³	1	2	yes	—
299	C₄×D₄×C₁₃	C₂³	1	2	yes	—
300	C₄×D₄×C₁₃	C₂³	1	2	yes	—
301	C₄×D₄×C₁₃	C₂³	1	2	yes	—
302	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
303	C₁₃×#117	—	2	1	no	—
304	C₁₃×#117	C₂³	1	1	yes	characteristic
305	C₁₃×#117	C₂³	1	1	yes	characteristic
306	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
311	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
312	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
313	C₁₃×#107	C₂³	1	2	yes	complemented
314	C₁₃×#106	C₂³	1	2	yes	complemented
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
316	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
317	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
318	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
319	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
320	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
321	C₁₃×#103	C₂³	1	2	yes	complemented
322	C₁₃×#102	C₂³	1	2	yes	—
323	C₁₃×#102	C₂³	1	2	yes	—
324	C₁₃×#102	C₂³	1	2	yes	—
325	C₁₃×#102	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
327	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
328	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
329	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
330	C₁₃×#102	C₂³	1	2	yes	complemented
331	C₁₃×#102	C₂³	1	2	yes	complemented
332	C₁₃×#102	C₂³	1	2	yes	complemented
333	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
339	C₁₃×#97	C₂³	1	2	yes	complemented
340	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
341	#61072	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
342	C₂⁴×C₁₃	—	2	1	no	—
343	C₂⁴×C₁₃	—	2	2	no	—
344	C₂⁴×C₁₃	—	2	2	no	—
345	C₂⁴×C₁₃	—	2	1	no	—
346	C₂⁴×C₁₃	—	2	1	no	—
347	C₂⁴×C₁₃	—	2	2	no	—
348	C₂⁴×C₁₃	—	2	1	no	—
349	C₂⁴×C₁₃	—	2	2	no	—
350	C₂⁴×C₁₃	—	4	4	no	—
351	C₂⁴×C₁₃	—	8	2	no	—
352	C₂⁴×C₁₃	—	8	2	no	—
353	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
354	C₁₃×#41	—	2	2	no	—
355	C₁₃×#41	—	2	2	no	—
356	C₁₃×#41	—	2	2	no	—
357	C₁₃×#41	—	2	4	no	—
358	C₁₃×#41	—	2	2	no	—
359	C₁₃×#41	—	2	4	no	—
360	C₁₃×#41	—	2	2	no	—
361	C₁₃×#41	—	2	2	no	—
362	C₁₃×#41	—	2	2	no	—
363	C₁₃×#41	—	2	2	no	—
364	C₁₃×#41	—	2	2	no	—
365	C₁₃×#41	—	4	4	no	—
366	C₁₃×#41	—	4	1	no	—
367	C₁₃×#41	—	4	1	no	—
368	C₁₃×#41	—	4	2	no	—
369	C₁₃×#41	—	4	2	no	—
370	C₁₃×#41	—	4	4	no	—
371	C₁₃×#41	—	4	4	no	—
372	C₁₃×#41	—	4	4	no	—
373	C₁₃×#41	C₂×D₄	1	4	yes	complemented
374	C₂×Q₈×C₁₃	—	2	1	no	—
375	C₂×Q₈×C₁₃	—	2	2	no	—
376	C₂×Q₈×C₁₃	—	4	1	no	—
377	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂×D₄×C₁₃	—	2	1	no	—
382	C₂×D₄×C₁₃	—	2	2	no	—
383	C₂×D₄×C₁₃	—	2	4	no	—
384	C₂×D₄×C₁₃	—	2	4	no	—
385	C₂×D₄×C₁₃	—	2	4	no	—
386	C₂×D₄×C₁₃	—	2	4	no	—
387	C₂×D₄×C₁₃	—	2	1	no	—
388	C₂×D₄×C₁₃	—	2	1	no	—
389	C₂×D₄×C₁₃	—	2	2	no	—
390	C₂×D₄×C₁₃	—	2	1	no	—
391	C₂×D₄×C₁₃	—	2	2	no	—
392	C₂×D₄×C₁₃	—	2	1	no	—
393	C₂×D₄×C₁₃	—	2	1	no	—
394	C₂×D₄×C₁₃	—	2	2	no	—
395	C₂×D₄×C₁₃	—	2	1	no	—
396	C₂×D₄×C₁₃	—	2	2	no	—
397	C₂×D₄×C₁₃	—	2	2	no	—
398	C₂×D₄×C₁₃	—	2	2	no	—
399	C₂×D₄×C₁₃	—	2	2	no	—
400	C₂×D₄×C₁₃	—	2	1	no	—
401	C₂×D₄×C₁₃	—	2	2	no	—
402	C₂×D₄×C₁₃	—	2	2	no	—
403	C₂×D₄×C₁₃	—	2	2	no	—
404	C₂×D₄×C₁₃	—	2	1	no	—
405	C₂×D₄×C₁₃	—	2	2	no	—
406	C₂×D₄×C₁₃	—	2	2	no	—
407	C₂×D₄×C₁₃	—	2	2	no	—
408	C₂×D₄×C₁₃	—	2	1	no	—
409	C₂×D₄×C₁₃	—	2	1	no	—
410	C₂×D₄×C₁₃	—	2	2	no	—
411	C₂×D₄×C₁₃	—	2	2	no	—
412	C₂×D₄×C₁₃	—	2	2	no	—
413	C₂×D₄×C₁₃	—	2	2	no	—
414	C₂×D₄×C₁₃	—	2	2	no	—
415	C₂×D₄×C₁₃	—	2	2	no	—
416	C₂×D₄×C₁₃	—	2	2	no	—
417	C₂×D₄×C₁₃	—	4	2	no	—
418	C₂×D₄×C₁₃	—	4	2	no	—
419	C₂×D₄×C₁₃	—	4	1	no	—
420	C₂×D₄×C₁₃	—	4	2	no	—
421	C₂×D₄×C₁₃	—	4	2	no	—
422	C₂×D₄×C₁₃	—	4	4	no	—
423	C₂×D₄×C₁₃	—	4	4	no	—
424	C₂×D₄×C₁₃	—	4	4	no	—
425	C₂×D₄×C₁₃	—	4	4	no	—
426	C₂×D₄×C₁₃	—	4	8	no	—
427	C₂×D₄×C₁₃	—	4	4	no	—
428	C₂×D₄×C₁₃	—	4	4	no	—
429	C₂×D₄×C₁₃	—	4	8	no	—
430	C₂×D₄×C₁₃	—	8	4	no	—
431	C₂×D₄×C₁₃	—	8	4	no	—
432	C₂×D₄×C₁₃	—	8	2	no	—
433	C₂×D₄×C₁₃	—	8	4	no	—
434	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
435	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
436	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
437	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
438	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	complemented
439	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
440	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
441	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
442	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
443	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
444	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	—	2	1	no	—
446	C₂²×C₄×C₁₃	—	2	2	no	—
447	C₂²×C₄×C₁₃	—	2	2	no	—
448	C₂²×C₄×C₁₃	—	2	1	no	—
449	C₂²×C₄×C₁₃	—	2	1	no	—
450	C₂²×C₄×C₁₃	—	2	1	no	—
451	C₂²×C₄×C₁₃	—	2	2	no	—
452	C₂²×C₄×C₁₃	—	2	1	no	—
453	C₂²×C₄×C₁₃	—	2	1	no	—
454	C₂²×C₄×C₁₃	—	2	2	no	—
455	C₂²×C₄×C₁₃	—	2	1	no	—
456	C₂²×C₄×C₁₃	—	2	2	no	—
457	C₂²×C₄×C₁₃	—	2	2	no	—
458	C₂²×C₄×C₁₃	—	2	2	no	—
459	C₂²×C₄×C₁₃	—	4	4	no	—
460	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
461	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
462	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
463	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
466	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₁₃×Q₁₆	—	2	2	no	—
468	C₁₃×Q₁₆	—	4	1	no	—
469	C₁₃×SD₁₆	—	2	4	no	—
470	C₁₃×SD₁₆	—	2	2	no	—
471	C₁₃×SD₁₆	—	2	4	no	—
472	C₁₃×SD₁₆	—	2	2	no	—
473	C₁₃×SD₁₆	—	2	4	no	—
474	C₁₃×SD₁₆	—	2	4	no	—
475	C₁₃×SD₁₆	—	4	1	no	—
476	C₁₃×SD₁₆	—	4	1	no	—
477	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
478	C₁₃×D₈	—	2	4	no	—
479	C₁₃×D₈	—	2	2	no	—
480	C₁₃×D₈	—	2	4	no	—
481	C₁₃×D₈	—	2	4	no	—
482	C₁₃×D₈	—	2	4	no	—
483	C₁₃×D₈	—	2	4	no	—
484	C₁₃×D₈	—	2	4	no	—
485	C₁₃×D₈	—	4	2	no	—
486	C₁₃×D₈	—	4	2	no	—
487	C₁₃×D₈	—	4	1	no	—
488	C₁₃×D₈	C₂×D₄	1	8	yes	complemented
489	C₁₃×M₁₆	—	2	2	no	—
490	C₁₃×M₁₆	—	2	4	no	—
491	C₁₃×M₁₆	—	2	4	no	—
492	C₁₃×M₁₆	C₂×D₄	1	4	yes	complemented
493	C₂×C₈×C₁₃	—	2	2	no	—
494	C₂×C₈×C₁₃	—	2	2	no	—
495	C₂×C₈×C₁₃	—	2	4	no	—
496	C₂×C₈×C₁₃	—	2	4	no	—
497	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
502	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
503	C₁₃×C₄⋊C₄	—	2	1	no	—
504	C₁₃×C₄⋊C₄	—	2	2	no	—
505	C₁₃×C₄⋊C₄	—	2	2	no	—
506	C₁₃×C₄⋊C₄	—	2	1	no	—
507	C₁₃×C₄⋊C₄	—	2	1	no	—
508	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
509	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
510	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
511	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
512	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
513	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
514	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
515	C₁₃×C₂²⋊C₄	—	2	1	no	—
516	C₁₃×C₂²⋊C₄	—	2	1	no	—
517	C₁₃×C₂²⋊C₄	—	2	1	no	—
518	C₁₃×C₂²⋊C₄	—	2	2	no	—
519	C₁₃×C₂²⋊C₄	—	2	2	no	—
520	C₁₃×C₂²⋊C₄	—	2	2	no	—
521	C₁₃×C₂²⋊C₄	—	2	2	no	—
522	C₁₃×C₂²⋊C₄	—	2	2	no	—
523	C₁₃×C₂²⋊C₄	—	2	2	no	—
524	C₁₃×C₂²⋊C₄	—	2	2	no	—
525	C₁₃×C₂²⋊C₄	—	2	2	no	—
526	C₁₃×C₂²⋊C₄	—	2	2	no	—
527	C₁₃×C₂²⋊C₄	—	2	2	no	—
528	C₁₃×C₂²⋊C₄	—	2	2	no	—
529	C₁₃×C₂²⋊C₄	—	2	1	no	—
530	C₁₃×C₂²⋊C₄	—	2	1	no	—
531	C₁₃×C₂²⋊C₄	—	2	2	no	—
532	C₁₃×C₂²⋊C₄	—	2	2	no	—
533	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
534	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
535	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
536	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
537	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
538	C₄²×C₁₃	—	2	2	no	—
539	C₄²×C₁₃	—	2	1	no	—
540	C₄²×C₁₃	C₂⁴	1	2	yes	—
541	C₂×#576	C₂×C₁₃	1	1	yes	characteristic, complemented
542	C₂²×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
543	#3488	C₂×C₁₃	1	1	yes	characteristic, complemented
544	#3484	C₂×C₁₃	1	1	yes	characteristic, complemented
545	#3282	C₂×C₁₃	1	2	yes	complemented
546	D₄×D₈	C₂×C₁₃	1	2	yes	complemented
547	#3274	C₂×C₁₃	1	2	yes	complemented
548	#3273	C₂×C₁₃	1	2	yes	complemented
549	#3268	C₂×C₁₃	1	2	yes	complemented
550	#3265	C₂×C₁₃	1	2	yes	complemented
551	#3264	C₂×C₁₃	1	2	yes	complemented
552	#3264	C₂×C₁₃	1	2	yes	complemented
553	#3155	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#3041	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
559	#3008	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
561	C₂×#447	C₂×C₁₃	1	1	yes	characteristic, complemented
562	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
563	#2933	C₂×C₁₃	1	1	yes	characteristic, complemented
564	C₂³×C₁₃	—	2	2	no	—
565	C₂³×C₁₃	—	2	2	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	2	2	no	—
568	C₂³×C₁₃	—	2	4	no	—
569	C₂³×C₁₃	—	2	2	no	—
570	C₂³×C₁₃	—	2	2	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	4	1	no	—
574	C₂³×C₁₃	—	4	2	no	—
575	C₂³×C₁₃	—	4	4	no	—
576	C₂³×C₁₃	—	4	4	no	—
577	C₂³×C₁₃	—	4	4	no	—
578	C₂³×C₁₃	—	4	4	no	—
579	C₂³×C₁₃	—	4	4	no	—
580	C₂³×C₁₃	—	4	2	no	—
581	C₂³×C₁₃	—	4	2	no	—
582	C₂³×C₁₃	—	4	4	no	—
583	C₂³×C₁₃	—	4	2	no	—
584	C₂³×C₁₃	—	8	1	no	—
585	C₂³×C₁₃	—	8	1	no	—
586	C₂³×C₁₃	—	8	2	no	—
587	C₂³×C₁₃	—	8	1	no	—
588	C₂³×C₁₃	—	8	1	no	—
589	C₂³×C₁₃	—	8	1	no	—
590	C₂³×C₁₃	—	8	2	no	—
591	C₂³×C₁₃	—	8	1	no	—
592	C₂³×C₁₃	—	8	2	no	—
593	C₂³×C₁₃	—	8	2	no	—
594	C₂³×C₁₃	—	8	2	no	—
595	C₂³×C₁₃	—	8	1	no	—
596	C₂³×C₁₃	—	8	2	no	—
597	C₂³×C₁₃	—	8	16	no	—
598	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
599	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
600	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
601	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
602	Q₈×C₁₃	—	2	2	no	—
603	Q₈×C₁₃	—	2	1	no	—
604	Q₈×C₁₃	—	2	1	no	—
605	Q₈×C₁₃	—	2	1	no	—
606	Q₈×C₁₃	—	2	1	no	—
607	Q₈×C₁₃	—	2	1	no	—
608	Q₈×C₁₃	—	4	2	no	—
609	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
610	D₄×C₁₃	—	2	4	no	—
611	D₄×C₁₃	—	2	4	no	—
612	D₄×C₁₃	—	2	4	no	—
613	D₄×C₁₃	—	2	4	no	—
614	D₄×C₁₃	—	2	2	no	—
615	D₄×C₁₃	—	2	1	no	—
616	D₄×C₁₃	—	2	2	no	—
617	D₄×C₁₃	—	2	1	no	—
618	D₄×C₁₃	—	2	2	no	—
619	D₄×C₁₃	—	2	2	no	—
620	D₄×C₁₃	—	2	1	no	—
621	D₄×C₁₃	—	2	2	no	—
622	D₄×C₁₃	—	2	2	no	—
623	D₄×C₁₃	—	2	1	no	—
624	D₄×C₁₃	—	2	1	no	—
625	D₄×C₁₃	—	4	2	no	—
626	D₄×C₁₃	—	4	4	no	—
627	D₄×C₁₃	—	4	4	no	—
628	D₄×C₁₃	—	4	4	no	—
629	D₄×C₁₃	—	4	4	no	—
630	D₄×C₁₃	—	4	2	no	—
631	D₄×C₁₃	—	4	4	no	—
632	D₄×C₁₃	—	4	2	no	—
633	D₄×C₁₃	—	4	4	no	—
634	D₄×C₁₃	—	4	2	no	—
635	D₄×C₁₃	—	4	2	no	—
636	D₄×C₁₃	—	4	2	no	—
637	D₄×C₁₃	—	4	2	no	—
638	D₄×C₁₃	—	4	2	no	—
639	D₄×C₁₃	—	4	4	no	—
640	D₄×C₁₃	—	4	2	no	—
641	D₄×C₁₃	—	4	2	no	—
642	D₄×C₁₃	—	8	2	no	—
643	D₄×C₁₃	—	8	2	no	—
644	D₄×C₁₃	—	8	2	no	—
645	D₄×C₁₃	—	8	2	no	—
646	D₄×C₁₃	—	8	2	no	—
647	D₄×C₁₃	—	8	2	no	—
648	D₄×C₁₃	—	8	2	no	—
649	D₄×C₁₃	—	8	2	no	—
650	D₄×C₁₃	C₂²×D₄	1	2	yes	—
651	D₄×C₁₃	C₂²×D₄	1	4	yes	—
652	C₂×C₄×C₁₃	—	2	2	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	2	no	—
655	C₂×C₄×C₁₃	—	2	2	no	—
656	C₂×C₄×C₁₃	—	2	4	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	2	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	2	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	2	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	4	2	no	—
669	C₂×C₄×C₁₃	—	4	4	no	—
670	C₂×C₄×C₁₃	—	4	2	no	—
671	C₂×C₄×C₁₃	—	4	2	no	—
672	C₂×C₄×C₁₃	—	4	4	no	—
673	C₂×C₄×C₁₃	—	4	2	no	—
674	C₂×C₄×C₁₃	—	4	2	no	—
675	C₂×C₄×C₁₃	—	8	2	no	—
676	C₂×C₄×C₁₃	—	8	2	no	—
677	C₂×C₄×C₁₃	—	8	2	no	—
678	C₂×C₄×C₁₃	—	8	1	no	—
679	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
680	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
681	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
682	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
683	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
684	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
685	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
686	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
687	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
688	C₈×C₁₃	—	2	1	no	—
689	C₈×C₁₃	—	2	1	no	—
690	C₈×C₁₃	—	2	2	no	—
691	C₈×C₁₃	—	2	1	no	—
692	C₈×C₁₃	—	2	1	no	—
693	C₈×C₁₃	C₂²×D₄	1	4	yes	—
694	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
696	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
698	#576	—	2	8	no	—
699	C₂×AGL(1,ℤ/8)	—	2	8	no	—
700	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
701	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
702	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
704	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
705	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
706	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
707	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
708	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
709	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
712	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
713	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
715	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
717	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	#550	C₂²×C₁₃	1	2	yes	complemented
720	#548	C₂²×C₁₃	1	2	yes	complemented
721	#546	—	2	2	no	—
722	#546	—	2	1	no	—
723	#546	—	2	1	no	—
724	#546	C₂²×C₁₃	1	2	yes	complemented
725	#546	C₂²×C₁₃	1	2	yes	complemented
726	#546	C₂²×C₁₃	1	2	yes	complemented
727	D₄²	—	2	1	no	—
728	D₄²	—	2	1	no	—
729	D₄²	—	2	2	no	—
730	D₄²	C₂²×C₁₃	1	2	yes	complemented
731	D₄²	C₂²×C₁₃	1	2	yes	complemented
732	D₄²	C₂²×C₁₃	1	2	yes	complemented
733	#537	—	2	1	no	—
734	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
735	#535	—	2	1	no	—
736	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
739	#534	—	2	2	no	—
740	#525	—	2	1	no	—
741	#525	C₂²×C₁₃	1	1	yes	characteristic
742	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
743	C₂×#121	—	2	1	no	—
744	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
745	C₂×#120	—	2	2	no	—
746	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
747	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
748	#496	C₂²×C₁₃	1	2	yes	complemented
749	#496	C₂²×C₁₃	1	2	yes	complemented
750	#495	C₂²×C₁₃	1	2	yes	complemented
751	#493	C₂²×C₁₃	1	2	yes	complemented
752	#469	C₂²×C₁₃	1	2	yes	complemented
753	#469	C₂²×C₁₃	1	2	yes	complemented
754	#468	C₂²×C₁₃	1	2	yes	complemented
755	#468	C₂²×C₁₃	1	2	yes	complemented
756	#466	C₂²×C₁₃	1	2	yes	complemented
757	#466	C₂²×C₁₃	1	2	yes	complemented
758	#465	C₂²×C₁₃	1	2	yes	complemented
759	#465	C₂²×C₁₃	1	2	yes	complemented
760	#464	C₂²×C₁₃	1	2	yes	complemented
761	#463	C₂²×C₁₃	1	2	yes	complemented
762	#463	C₂²×C₁₃	1	2	yes	complemented
763	#463	C₂²×C₁₃	1	2	yes	complemented
764	#460	C₂²×C₁₃	1	2	yes	complemented
765	#459	C₂²×C₁₃	1	2	yes	complemented
766	#459	C₂²×C₁₃	1	2	yes	complemented
767	#459	C₂²×C₁₃	1	2	yes	complemented
768	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
770	#452	C₂²×C₁₃	1	2	yes	complemented
771	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	#450	C₂²×C₁₃	1	2	yes	complemented
774	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
776	#449	C₂²×C₁₃	1	2	yes	complemented
777	#449	C₂²×C₁₃	1	2	yes	complemented
778	#449	C₂²×C₁₃	1	2	yes	complemented
779	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	#447	C₂²×C₁₃	1	2	yes	complemented
781	#447	C₂²×C₁₃	1	2	yes	complemented
782	#447	C₂²×C₁₃	1	2	yes	complemented
783	#447	C₂²×C₁₃	1	2	yes	complemented
784	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#447	C₂²×C₁₃	1	2	yes	complemented
786	#447	C₂²×C₁₃	1	2	yes	complemented
787	#447	C₂²×C₁₃	1	2	yes	complemented
788	#442	C₂²×C₁₃	1	2	yes	complemented
789	#440	C₂²×C₁₃	1	2	yes	complemented
790	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
791	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
792	#436	C₂²×C₁₃	1	2	yes	complemented
793	#435	C₂²×C₁₃	1	2	yes	complemented
794	#435	C₂²×C₁₃	1	2	yes	complemented
795	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
796	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
797	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
798	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
800	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
801	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
802	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
803	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
804	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
805	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
806	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
807	C₂²×C₁₃	—	2	1	no	—
808	C₂²×C₁₃	—	2	1	no	—
809	C₂²×C₁₃	—	2	1	no	—
810	C₂²×C₁₃	—	2	1	no	—
811	C₂²×C₁₃	—	2	1	no	—
812	C₂²×C₁₃	—	2	2	no	—
813	C₂²×C₁₃	—	2	1	no	—
814	C₂²×C₁₃	—	2	2	no	—
815	C₂²×C₁₃	—	2	2	no	—
816	C₂²×C₁₃	—	2	4	no	—
817	C₂²×C₁₃	—	2	2	no	—
818	C₂²×C₁₃	—	2	1	no	—
819	C₂²×C₁₃	—	4	4	no	—
820	C₂²×C₁₃	—	4	2	no	—
821	C₂²×C₁₃	—	4	1	no	—
822	C₂²×C₁₃	—	4	1	no	—
823	C₂²×C₁₃	—	4	2	no	—
824	C₂²×C₁₃	—	4	1	no	—
825	C₂²×C₁₃	—	4	2	no	—
826	C₂²×C₁₃	—	4	1	no	—
827	C₂²×C₁₃	—	4	2	no	—
828	C₂²×C₁₃	—	4	1	no	—
829	C₂²×C₁₃	—	4	2	no	—
830	C₂²×C₁₃	—	4	1	no	—
831	C₂²×C₁₃	—	4	2	no	—
832	C₂²×C₁₃	—	4	1	no	—
833	C₂²×C₁₃	—	4	2	no	—
834	C₂²×C₁₃	—	4	1	no	—
835	C₂²×C₁₃	—	4	2	no	—
836	C₂²×C₁₃	—	8	4	no	—
837	C₂²×C₁₃	—	8	4	no	—
838	C₂²×C₁₃	—	8	8	no	—
839	C₂²×C₁₃	—	8	4	no	—
840	C₂²×C₁₃	—	8	8	no	—
841	C₂²×C₁₃	—	16	2	no	—
842	C₂²×C₁₃	—	16	4	no	—
843	C₂²×C₁₃	—	16	4	no	—
844	C₂²×C₁₃	D₄²	1	2	yes	—
845	C₂²×C₁₃	#576	1	2	yes	complemented
846	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
847	C₄×C₁₃	—	2	2	no	—
848	C₄×C₁₃	—	2	1	no	—
849	C₄×C₁₃	—	2	1	no	—
850	C₄×C₁₃	—	2	2	no	—
851	C₄×C₁₃	—	2	2	no	—
852	C₄×C₁₃	—	2	2	no	—
853	C₄×C₁₃	—	4	1	no	—
854	C₄×C₁₃	—	4	1	no	—
855	C₄×C₁₃	—	4	1	no	—
856	C₄×C₁₃	—	4	1	no	—
857	C₄×C₁₃	—	4	2	no	—
858	C₄×C₁₃	D₄²	1	2	yes	—
859	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
860	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
861	C₂⁵	—	2	1	no	—
862	H(5,𝔽₂)	—	2	4	no	—
863	H(5,𝔽₂)	—	2	4	no	—
864	H(5,𝔽₂)	—	4	2	no	—
865	H(5,𝔽₂)	—	4	2	no	—
866	C₂×#41	—	2	1	no	—
867	C₂×#41	—	2	1	no	—
868	C₂×#41	—	2	1	no	—
869	C₂×#41	—	2	1	no	—
870	C₂×#41	—	2	4	no	—
871	C₂×#41	—	4	2	no	—
872	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
873	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
874	C₂×#41	C₂³×C₁₃	1	2	yes	—
875	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
876	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
877	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
878	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
879	C₂×#41	C₂³×C₁₃	1	2	yes	complemented
880	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₂²×D₄	—	2	4	no	—
882	C₂²×D₄	—	2	1	no	—
883	C₂²×D₄	—	2	1	no	—
884	C₂²×D₄	—	2	2	no	—
885	C₂²×D₄	—	2	1	no	—
886	C₂²×D₄	—	2	1	no	—
887	C₂²×D₄	—	2	2	no	—
888	C₂²×D₄	—	2	2	no	—
889	C₂²×D₄	—	2	2	no	—
890	C₂²×D₄	—	2	2	no	—
891	C₂²×D₄	—	2	1	no	—
892	C₂²×D₄	—	2	1	no	—
893	C₂²×D₄	—	2	1	no	—
894	C₂²×D₄	—	4	2	no	—
895	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
896	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
897	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
898	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
899	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
900	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
901	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
902	C₂²×D₄	C₂³×C₁₃	1	2	yes	complemented
903	C₂³×C₄	—	2	1	no	—
904	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
905	AGL(1,ℤ/8)	—	2	4	no	—
906	AGL(1,ℤ/8)	—	2	4	no	—
907	AGL(1,ℤ/8)	—	2	8	no	—
908	AGL(1,ℤ/8)	—	2	8	no	—
909	AGL(1,ℤ/8)	—	2	8	no	—
910	AGL(1,ℤ/8)	—	2	8	no	—
911	AGL(1,ℤ/8)	—	2	4	no	—
912	AGL(1,ℤ/8)	—	2	4	no	—
913	AGL(1,ℤ/8)	D₄×C₁₃	1	8	yes	complemented
914	#135	—	2	4	no	—
915	#135	—	2	8	no	—
916	#135	—	4	2	no	—
917	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
918	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
919	C₂×SD₁₆	—	2	8	no	—
920	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
921	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
922	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
923	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
924	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
925	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
926	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
927	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
928	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
929	C₂×D₈	—	2	4	no	—
930	C₂×D₈	—	2	8	no	—
931	C₂×D₈	—	2	8	no	—
932	C₂×D₈	—	4	2	no	—
933	C₂×D₈	C₂³×C₁₃	1	2	yes	—
934	C₂×D₈	C₂³×C₁₃	1	2	yes	—
935	C₂×D₈	C₂³×C₁₃	1	2	yes	—
936	C₂×D₈	C₂³×C₁₃	1	2	yes	—
937	C₂×D₈	C₂³×C₁₃	1	2	yes	—
938	C₂×D₈	C₂³×C₁₃	1	2	yes	—
939	C₂×D₈	C₂³×C₁₃	1	2	yes	—
940	C₂×D₈	C₂³×C₁₃	1	2	yes	—
941	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
942	C₂×D₈	C₂³×C₁₃	1	2	yes	complemented
943	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
944	#131	—	2	4	no	—
945	C₂×M₁₆	—	2	4	no	—
946	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
947	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
948	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
949	C₂×M₁₆	C₂³×C₁₃	1	2	yes	complemented
950	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
951	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
952	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
953	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
954	#127	—	2	2	no	—
955	#127	—	2	1	no	—
956	#127	C₂³×C₁₃	1	2	yes	—
957	#127	C₂³×C₁₃	1	2	yes	complemented
958	#124	—	2	1	no	—
959	#124	—	2	2	no	—
960	#124	C₂³×C₁₃	1	2	yes	—
961	#124	C₂³×C₁₃	1	2	yes	complemented
962	#123	—	2	1	no	—
963	#123	—	2	2	no	—
964	#123	—	2	2	no	—
965	#123	—	2	2	no	—
966	#123	D₄×C₁₃	1	2	yes	—
967	C₂²⋊Q₈	—	2	1	no	—
968	C₂²⋊Q₈	—	2	2	no	—
969	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
970	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
971	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
972	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
973	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
974	#121	—	2	1	no	—
975	#121	—	2	2	no	—
976	#121	—	2	2	no	—
977	#121	—	2	1	no	—
978	#121	—	2	1	no	—
979	#121	—	2	1	no	—
980	#121	—	2	1	no	—
981	#121	—	2	2	no	—
982	#121	—	2	2	no	—
983	#121	—	2	1	no	—
984	#121	—	2	1	no	—
985	#121	—	2	2	no	—
986	#121	—	2	2	no	—
987	#121	—	2	2	no	—
988	#121	—	2	2	no	—
989	#121	—	2	2	no	—
990	#121	—	2	2	no	—
991	#121	D₄×C₁₃	1	1	yes	characteristic
992	#121	D₄×C₁₃	1	1	yes	characteristic
993	#121	C₂³×C₁₃	1	2	yes	—
994	#121	C₂³×C₁₃	1	2	yes	—
995	#121	C₂³×C₁₃	1	1	yes	characteristic
996	#121	C₂³×C₁₃	1	1	yes	characteristic
997	#121	C₂³×C₁₃	1	2	yes	—
998	#121	C₂³×C₁₃	1	2	yes	—
999	#121	C₂³×C₁₃	1	2	yes	complemented
1000	#120	—	2	1	no	—
1001	#120	—	2	2	no	—
1002	#120	—	2	2	no	—
1003	#120	—	2	2	no	—
1004	#120	—	2	2	no	—
1005	#120	—	2	2	no	—
1006	#120	—	2	2	no	—
1007	#120	—	2	2	no	—
1008	#120	—	2	2	no	—
1009	#120	—	2	2	no	—
1010	#120	—	2	2	no	—
1011	#120	—	2	2	no	—
1012	#120	—	2	2	no	—
1013	#120	D₄×C₁₃	1	2	yes	—
1014	C₄×Q₈	C₂³×C₁₃	1	2	yes	complemented
1015	C₄×D₄	—	2	1	no	—
1016	C₄×D₄	—	2	1	no	—
1017	C₄×D₄	—	2	1	no	—
1018	C₄×D₄	—	2	1	no	—
1019	C₄×D₄	—	2	2	no	—
1020	C₄×D₄	—	2	2	no	—
1021	C₄×D₄	—	2	2	no	—
1022	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1023	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1024	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1025	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1026	C₄×D₄	C₂³×C₁₃	1	2	yes	complemented
1027	#117	—	2	1	no	—
1028	#117	C₂³×C₁₃	1	1	yes	characteristic
1029	#117	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	—	2	1	no	—
1031	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	—	2	1	no	—
1033	C₂×C₂²⋊C₄	—	2	2	no	—
1034	C₂×C₂²⋊C₄	—	2	2	no	—
1035	C₂×C₂²⋊C₄	—	2	2	no	—
1036	C₂×C₂²⋊C₄	—	2	2	no	—
1037	#107	C₂³×C₁₃	1	2	yes	complemented
1038	#106	C₂³×C₁₃	1	2	yes	complemented
1039	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1040	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1041	#103	C₂³×C₁₃	1	1	yes	characteristic, complemented
1042	#103	C₂³×C₁₃	1	1	yes	characteristic, complemented
1043	#103	C₂³×C₁₃	1	1	yes	characteristic, complemented
1044	#103	C₂³×C₁₃	1	1	yes	characteristic, complemented
1045	#103	C₂³×C₁₃	1	2	yes	complemented
1046	#102	C₂³×C₁₃	1	2	yes	—
1047	#102	C₂³×C₁₃	1	2	yes	—
1048	#102	C₂³×C₁₃	1	2	yes	—
1049	#102	C₂³×C₁₃	1	2	yes	—
1050	#102	C₂³×C₁₃	1	1	yes	characteristic, complemented
1051	#102	C₂³×C₁₃	1	1	yes	characteristic, complemented
1052	#102	C₂³×C₁₃	1	1	yes	characteristic, complemented
1053	#102	C₂³×C₁₃	1	1	yes	characteristic, complemented
1054	#102	C₂³×C₁₃	1	2	yes	complemented
1055	#102	C₂³×C₁₃	1	2	yes	complemented
1056	#102	C₂³×C₁₃	1	2	yes	complemented
1057	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1062	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1063	#97	C₂³×C₁₃	1	2	yes	complemented
1064	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
1065	C₂×C₁₃	—	2	2	no	—
1066	C₂×C₁₃	—	2	2	no	—
1067	C₂×C₁₃	—	4	1	no	—
1068	C₂×C₁₃	—	4	2	no	—
1069	C₂×C₁₃	—	4	4	no	—
1070	C₂×C₁₃	—	4	2	no	—
1071	C₂×C₁₃	—	8	1	no	—
1072	C₂×C₁₃	—	8	2	no	—
1073	C₂×C₁₃	—	8	1	no	—
1074	C₂×C₁₃	—	8	2	no	—
1075	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1076	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1077	C₂×C₁₃	#3585	1	1	yes	characteristic
1078	C₂⁴	—	2	1	no	—
1079	C₂⁴	—	2	2	no	—
1080	C₂⁴	—	2	2	no	—
1081	C₂⁴	—	2	1	no	—
1082	C₂⁴	—	2	1	no	—
1083	C₂⁴	—	2	2	no	—
1084	C₂⁴	—	2	1	no	—
1085	C₂⁴	—	2	2	no	—
1086	C₂⁴	—	4	4	no	—
1087	C₂⁴	—	8	2	no	—
1088	C₂⁴	—	8	2	no	—
1089	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1090	#41	—	2	2	no	—
1091	#41	—	2	2	no	—
1092	#41	—	2	2	no	—
1093	#41	—	2	4	no	—
1094	#41	—	2	2	no	—
1095	#41	—	2	4	no	—
1096	#41	—	2	2	no	—
1097	#41	—	2	2	no	—
1098	#41	—	2	2	no	—
1099	#41	—	2	2	no	—
1100	#41	—	2	2	no	—
1101	#41	—	4	4	no	—
1102	#41	—	4	1	no	—
1103	#41	—	4	1	no	—
1104	#41	—	4	2	no	—
1105	#41	—	4	2	no	—
1106	#41	—	4	4	no	—
1107	#41	—	4	4	no	—
1108	#41	—	4	4	no	—
1109	#41	C₂×D₄×C₁₃	1	4	yes	complemented
1110	C₂×Q₈	—	2	1	no	—
1111	C₂×Q₈	—	2	2	no	—
1112	C₂×Q₈	—	4	1	no	—
1113	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1114	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1115	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1116	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1117	C₂×D₄	—	2	1	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	4	no	—
1120	C₂×D₄	—	2	4	no	—
1121	C₂×D₄	—	2	4	no	—
1122	C₂×D₄	—	2	4	no	—
1123	C₂×D₄	—	2	1	no	—
1124	C₂×D₄	—	2	1	no	—
1125	C₂×D₄	—	2	2	no	—
1126	C₂×D₄	—	2	1	no	—
1127	C₂×D₄	—	2	2	no	—
1128	C₂×D₄	—	2	1	no	—
1129	C₂×D₄	—	2	1	no	—
1130	C₂×D₄	—	2	2	no	—
1131	C₂×D₄	—	2	1	no	—
1132	C₂×D₄	—	2	2	no	—
1133	C₂×D₄	—	2	2	no	—
1134	C₂×D₄	—	2	2	no	—
1135	C₂×D₄	—	2	2	no	—
1136	C₂×D₄	—	2	1	no	—
1137	C₂×D₄	—	2	2	no	—
1138	C₂×D₄	—	2	2	no	—
1139	C₂×D₄	—	2	2	no	—
1140	C₂×D₄	—	2	1	no	—
1141	C₂×D₄	—	2	2	no	—
1142	C₂×D₄	—	2	2	no	—
1143	C₂×D₄	—	2	2	no	—
1144	C₂×D₄	—	2	1	no	—
1145	C₂×D₄	—	2	1	no	—
1146	C₂×D₄	—	2	2	no	—
1147	C₂×D₄	—	2	2	no	—
1148	C₂×D₄	—	2	2	no	—
1149	C₂×D₄	—	2	2	no	—
1150	C₂×D₄	—	2	2	no	—
1151	C₂×D₄	—	2	2	no	—
1152	C₂×D₄	—	2	2	no	—
1153	C₂×D₄	—	4	2	no	—
1154	C₂×D₄	—	4	2	no	—
1155	C₂×D₄	—	4	1	no	—
1156	C₂×D₄	—	4	2	no	—
1157	C₂×D₄	—	4	2	no	—
1158	C₂×D₄	—	4	4	no	—
1159	C₂×D₄	—	4	4	no	—
1160	C₂×D₄	—	4	4	no	—
1161	C₂×D₄	—	4	4	no	—
1162	C₂×D₄	—	4	8	no	—
1163	C₂×D₄	—	4	4	no	—
1164	C₂×D₄	—	4	4	no	—
1165	C₂×D₄	—	4	8	no	—
1166	C₂×D₄	—	8	4	no	—
1167	C₂×D₄	—	8	4	no	—
1168	C₂×D₄	—	8	2	no	—
1169	C₂×D₄	—	8	4	no	—
1170	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1171	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1172	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1173	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1174	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	complemented
1175	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1176	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1177	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1178	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1179	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1180	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1181	C₂²×C₄	—	2	1	no	—
1182	C₂²×C₄	—	2	2	no	—
1183	C₂²×C₄	—	2	2	no	—
1184	C₂²×C₄	—	2	1	no	—
1185	C₂²×C₄	—	2	1	no	—
1186	C₂²×C₄	—	2	1	no	—
1187	C₂²×C₄	—	2	2	no	—
1188	C₂²×C₄	—	2	1	no	—
1189	C₂²×C₄	—	2	1	no	—
1190	C₂²×C₄	—	2	2	no	—
1191	C₂²×C₄	—	2	1	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	4	4	no	—
1196	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1202	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1203	Q₁₆	—	2	2	no	—
1204	Q₁₆	—	4	1	no	—
1205	SD₁₆	—	2	4	no	—
1206	SD₁₆	—	2	2	no	—
1207	SD₁₆	—	2	4	no	—
1208	SD₁₆	—	2	2	no	—
1209	SD₁₆	—	2	4	no	—
1210	SD₁₆	—	2	4	no	—
1211	SD₁₆	—	4	1	no	—
1212	SD₁₆	—	4	1	no	—
1213	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
1214	D₈	—	2	4	no	—
1215	D₈	—	2	2	no	—
1216	D₈	—	2	4	no	—
1217	D₈	—	2	4	no	—
1218	D₈	—	2	4	no	—
1219	D₈	—	2	4	no	—
1220	D₈	—	2	4	no	—
1221	D₈	—	4	2	no	—
1222	D₈	—	4	2	no	—
1223	D₈	—	4	1	no	—
1224	D₈	C₂×D₄×C₁₃	1	8	yes	complemented
1225	M₁₆	—	2	2	no	—
1226	M₁₆	—	2	4	no	—
1227	M₁₆	—	2	4	no	—
1228	M₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
1229	C₂×C₈	—	2	2	no	—
1230	C₂×C₈	—	2	2	no	—
1231	C₂×C₈	—	2	4	no	—
1232	C₂×C₈	—	2	4	no	—
1233	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1234	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1235	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1236	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1237	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1238	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1239	C₄⋊C₄	—	2	1	no	—
1240	C₄⋊C₄	—	2	2	no	—
1241	C₄⋊C₄	—	2	2	no	—
1242	C₄⋊C₄	—	2	1	no	—
1243	C₄⋊C₄	—	2	1	no	—
1244	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1245	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1246	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1247	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1248	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1249	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1250	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1251	C₂²⋊C₄	—	2	1	no	—
1252	C₂²⋊C₄	—	2	1	no	—
1253	C₂²⋊C₄	—	2	1	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	2	2	no	—
1265	C₂²⋊C₄	—	2	1	no	—
1266	C₂²⋊C₄	—	2	1	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1270	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1271	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1272	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1273	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1274	C₄²	—	2	2	no	—
1275	C₄²	—	2	1	no	—
1276	C₄²	C₂⁴×C₁₃	1	2	yes	—
1277	C₁₃	#61072	1	1	yes	characteristic, direct product factor, Sylow
1278	C₂³	—	2	2	no	—
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	2	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	4	1	no	—
1288	C₂³	—	4	2	no	—
1289	C₂³	—	4	4	no	—
1290	C₂³	—	4	4	no	—
1291	C₂³	—	4	4	no	—
1292	C₂³	—	4	4	no	—
1293	C₂³	—	4	4	no	—
1294	C₂³	—	4	2	no	—
1295	C₂³	—	4	2	no	—
1296	C₂³	—	4	4	no	—
1297	C₂³	—	4	2	no	—
1298	C₂³	—	8	1	no	—
1299	C₂³	—	8	1	no	—
1300	C₂³	—	8	1	no	—
1301	C₂³	—	8	2	no	—
1302	C₂³	—	8	1	no	—
1303	C₂³	—	8	2	no	—
1304	C₂³	—	8	1	no	—
1305	C₂³	—	8	1	no	—
1306	C₂³	—	8	2	no	—
1307	C₂³	—	8	2	no	—
1308	C₂³	—	8	2	no	—
1309	C₂³	—	8	1	no	—
1310	C₂³	—	8	2	no	—
1311	C₂³	—	8	16	no	—
1312	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1313	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1314	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1315	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1316	Q₈	—	2	2	no	—
1317	Q₈	—	2	1	no	—
1318	Q₈	—	2	1	no	—
1319	Q₈	—	2	1	no	—
1320	Q₈	—	2	1	no	—
1321	Q₈	—	2	1	no	—
1322	Q₈	—	4	2	no	—
1323	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1324	D₄	—	2	4	no	—
1325	D₄	—	2	4	no	—
1326	D₄	—	2	4	no	—
1327	D₄	—	2	4	no	—
1328	D₄	—	2	2	no	—
1329	D₄	—	2	1	no	—
1330	D₄	—	2	2	no	—
1331	D₄	—	2	1	no	—
1332	D₄	—	2	2	no	—
1333	D₄	—	2	2	no	—
1334	D₄	—	2	1	no	—
1335	D₄	—	2	2	no	—
1336	D₄	—	2	2	no	—
1337	D₄	—	2	1	no	—
1338	D₄	—	2	1	no	—
1339	D₄	—	4	2	no	—
1340	D₄	—	4	4	no	—
1341	D₄	—	4	4	no	—
1342	D₄	—	4	4	no	—
1343	D₄	—	4	4	no	—
1344	D₄	—	4	2	no	—
1345	D₄	—	4	4	no	—
1346	D₄	—	4	2	no	—
1347	D₄	—	4	4	no	—
1348	D₄	—	4	2	no	—
1349	D₄	—	4	2	no	—
1350	D₄	—	4	2	no	—
1351	D₄	—	4	2	no	—
1352	D₄	—	4	2	no	—
1353	D₄	—	4	4	no	—
1354	D₄	—	4	2	no	—
1355	D₄	—	4	2	no	—
1356	D₄	—	8	2	no	—
1357	D₄	—	8	2	no	—
1358	D₄	—	8	2	no	—
1359	D₄	—	8	2	no	—
1360	D₄	—	8	2	no	—
1361	D₄	—	8	2	no	—
1362	D₄	—	8	2	no	—
1363	D₄	—	8	2	no	—
1364	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1365	D₄	C₂²×D₄×C₁₃	1	4	yes	—
1366	C₂×C₄	—	2	2	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	2	no	—
1369	C₂×C₄	—	2	2	no	—
1370	C₂×C₄	—	2	4	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	2	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	2	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	4	2	no	—
1383	C₂×C₄	—	4	4	no	—
1384	C₂×C₄	—	4	2	no	—
1385	C₂×C₄	—	4	2	no	—
1386	C₂×C₄	—	4	4	no	—
1387	C₂×C₄	—	4	2	no	—
1388	C₂×C₄	—	4	2	no	—
1389	C₂×C₄	—	8	2	no	—
1390	C₂×C₄	—	8	2	no	—
1391	C₂×C₄	—	8	2	no	—
1392	C₂×C₄	—	8	1	no	—
1393	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1394	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1395	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1396	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1397	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1398	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1399	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1400	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1401	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1402	C₈	—	2	1	no	—
1403	C₈	—	2	1	no	—
1404	C₈	—	2	2	no	—
1405	C₈	—	2	1	no	—
1406	C₈	—	2	1	no	—
1407	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1408	C₂²	—	2	1	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	1	no	—
1411	C₂²	—	2	1	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	1	no	—
1414	C₂²	—	2	1	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	1	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	4	no	—
1420	C₂²	—	4	4	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	2	no	—
1423	C₂²	—	4	2	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	2	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	2	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	2	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	2	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	2	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	2	no	—
1437	C₂²	—	8	4	no	—
1438	C₂²	—	8	4	no	—
1439	C₂²	—	8	8	no	—
1440	C₂²	—	8	4	no	—
1441	C₂²	—	8	8	no	—
1442	C₂²	—	16	2	no	—
1443	C₂²	—	16	4	no	—
1444	C₂²	—	16	4	no	—
1445	C₂²	D₄²×C₁₃	1	2	yes	—
1446	C₂²	C₁₃×#576	1	2	yes	complemented
1447	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1448	C₄	—	2	2	no	—
1449	C₄	—	2	2	no	—
1450	C₄	—	2	1	no	—
1451	C₄	—	2	1	no	—
1452	C₄	—	2	2	no	—
1453	C₄	—	2	2	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	2	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	D₄²×C₁₃	1	2	yes	—
1460	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1461	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1462	C₂	—	2	2	no	—
1463	C₂	—	2	2	no	—
1464	C₂	—	4	1	no	—
1465	C₂	—	4	2	no	—
1466	C₂	—	4	4	no	—
1467	C₂	—	4	2	no	—
1468	C₂	—	8	2	no	—
1469	C₂	—	8	1	no	—
1470	C₂	—	8	1	no	—
1471	C₂	—	8	2	no	—
1472	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1473	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1474	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 ◁ C₁₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#576	C₂	semidirect
2. C₂²×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
3. C₁₃×#3488	C₂	semidirect
4. C₁₃×#3484	C₂	semidirect
5. C₁₃×#3282	C₂	semidirect
6. D₄×C₁₃×D₈	C₂	semidirect
7. C₁₃×#3274	C₂	semidirect
8. C₁₃×#3273	C₂	semidirect
9. C₁₃×#3268	C₂	semidirect
10. C₁₃×#3265	C₂	semidirect
11. C₁₃×#3264	C₂	semidirect
12. C₁₃×#3264	C₂	semidirect
13. C₁₃×#3155	C₂	semidirect
14. C₁₃×#3062	C₂	semidirect
15. C₁₃×#3055	C₂	semidirect
16. C₁₃×#3045	C₂	semidirect
17. C₁₃×#3041	C₂	semidirect
18. C₁₃×#3012	C₂	semidirect
19. C₁₃×#3008	C₂	semidirect
20. C₁₃×#3002	C₂	semidirect
21. C₂×C₁₃×#447	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₁₃×#2933	C₂	semidirect
24. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
25. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₂³×D₄×C₁₃	C₂²	semidirect
31. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
32. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
33. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
34. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
39. C₂×C₁₃×#135	C₂²	semidirect
40. C₂×C₁₃×#135	C₂²	semidirect
41. C₂×C₁₃×#135	C₂²	semidirect
42. C₂²×C₁₃×SD₁₆	C₂²	semidirect
43. C₂²×C₁₃×D₈	C₂²	semidirect
44. C₂²×C₁₃×D₈	C₂²	semidirect
45. C₂²×C₁₃×D₈	C₂²	semidirect
46. C₂²×C₁₃×D₈	C₂²	semidirect
47. C₂×C₁₃×#131	C₂²	semidirect
48. C₂²×C₁₃×M₁₆	C₂²	semidirect
49. C₁₃×#550	C₂²	semidirect
50. C₁₃×#548	C₂²	semidirect
54. C₁₃×#546	C₂²	semidirect
55. C₁₃×#546	C₂²	semidirect
56. C₁₃×#546	C₂²	semidirect
60. D₄²×C₁₃	C₂²	semidirect
61. D₄²×C₁₃	C₂²	semidirect
62. D₄²×C₁₃	C₂²	semidirect
64. C₁₃×#537	C₂²	semidirect
66. C₁₃×#535	C₂²	semidirect
67. C₁₃×#535	C₂²	semidirect
68. C₁₃×#535	C₂²	semidirect
72. C₁₃×#525	C₂²	semidirect
74. C₂×C₁₃×#121	C₂²	semidirect
76. C₁₃×#520	C₂²	semidirect
77. C₁₃×#518	C₂²	semidirect
78. C₁₃×#496	C₂²	semidirect
79. C₁₃×#496	C₂²	semidirect
80. C₁₃×#495	C₂²	semidirect
81. C₁₃×#493	C₂²	semidirect
82. C₁₃×#469	C₂²	semidirect
83. C₁₃×#469	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#466	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#460	C₂²	semidirect
95. C₁₃×#459	C₂²	semidirect
96. C₁₃×#459	C₂²	semidirect
97. C₁₃×#459	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#452	C₂²	semidirect
100. C₁₃×#452	C₂²	semidirect
101. C₁₃×#451	C₂²	semidirect
102. C₁₃×#450	C₂²	semidirect
103. C₁₃×#450	C₂²	semidirect
104. C₁₃×#449	C₂²	semidirect
105. C₁₃×#449	C₂²	semidirect
106. C₁₃×#449	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
109. C₁₃×#448	C₂²	semidirect
110. C₁₃×#447	C₂²	semidirect
111. C₁₃×#447	C₂²	semidirect
112. C₁₃×#447	C₂²	semidirect
113. C₁₃×#447	C₂²	semidirect
114. C₁₃×#447	C₂²	semidirect
115. C₁₃×#447	C₂²	semidirect
116. C₁₃×#447	C₂²	semidirect
117. C₁₃×#447	C₂²	semidirect
118. C₁₃×#442	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
121. C₄×C₁₃×D₈	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
125. C₈×D₄×C₁₃	C₂²	semidirect
126. C₁₃×#428	C₂²	semidirect
127. C₁₃×#424	C₂²	semidirect
128. C₁₃×#418	C₂²	semidirect
129. C₁₃×#417	C₂²	semidirect
130. C₁₃×#416	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
132. C₂×C₁₃×#102	C₂²	semidirect
133. C₂×C₁₃×#102	C₂²	semidirect
134. C₁₃×#408	C₂²	semidirect
135. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
136. C₁₃×#405	C₂²	semidirect
155. C₂×C₁₃×#41	C₂³	semidirect
178. C₂²×D₄×C₁₃	C₂³	semidirect
189. C₁₃×AGL(1,ℤ/8)	D₄	semidirect
193. C₂×C₁₃×Q₁₆	C₂³	semidirect
194. C₂×C₁₃×Q₁₆	C₂³	semidirect
200. C₂×C₁₃×SD₁₆	C₂³	semidirect
201. C₂×C₁₃×SD₁₆	C₂³	semidirect
202. C₂×C₁₃×SD₁₆	C₂³	semidirect
203. C₂×C₁₃×SD₁₆	C₂³	semidirect
204. C₂×C₁₃×SD₁₆	C₂³	semidirect
217. C₂×C₁₃×D₈	C₂³	semidirect
218. C₂×C₁₃×D₈	C₂³	semidirect
219. C₂×C₁₃×D₈	C₂³	semidirect
225. C₂×C₁₃×M₁₆	C₂³	semidirect
229. C₂²×C₈×C₁₃	C₂³	semidirect
233. C₁₃×#127	C₂³	semidirect
237. C₁₃×#124	C₂³	semidirect
249. C₁₃×C₂²⋊Q₈	C₂³	semidirect
275. C₁₃×#121	C₂³	semidirect
290. C₄×Q₈×C₁₃	C₂³	semidirect
302. C₄×D₄×C₁₃	C₂³	semidirect
313. C₁₃×#107	C₂³	semidirect
314. C₁₃×#106	C₂³	semidirect
315. C₁₃×C₄⋊C₈	C₂³	semidirect
316. C₁₃×C₄⋊C₈	C₂³	semidirect
317. C₁₃×#103	C₂³	semidirect
318. C₁₃×#103	C₂³	semidirect
319. C₁₃×#103	C₂³	semidirect
320. C₁₃×#103	C₂³	semidirect
321. C₁₃×#103	C₂³	semidirect
326. C₁₃×#102	C₂³	semidirect
327. C₁₃×#102	C₂³	semidirect
328. C₁₃×#102	C₂³	semidirect
329. C₁₃×#102	C₂³	semidirect
330. C₁₃×#102	C₂³	semidirect
331. C₁₃×#102	C₂³	semidirect
332. C₁₃×#102	C₂³	semidirect
337. C₁₃×C₂²⋊C₈	C₂³	semidirect
338. C₁₃×C₂²⋊C₈	C₂³	semidirect
339. C₁₃×#97	C₂³	semidirect
340. C₄×C₈×C₁₃	C₂³	semidirect
341. #61072	C₁₃	direct (N × H)
373. C₁₃×#41	C₂×D₄	semidirect
438. C₂×D₄×C₁₃	C₂×D₄	semidirect
477. C₁₃×SD₁₆	C₂×D₄	semidirect
488. C₁₃×D₈	C₂×D₄	semidirect
492. C₁₃×M₁₆	C₂×D₄	semidirect
541. C₂×#576	C₂×C₁₃	semidirect
542. C₂²×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
543. #3488	C₂×C₁₃	semidirect
544. #3484	C₂×C₁₃	semidirect
545. #3282	C₂×C₁₃	semidirect
546. D₄×D₈	C₂×C₁₃	semidirect
547. #3274	C₂×C₁₃	semidirect
548. #3273	C₂×C₁₃	semidirect
549. #3268	C₂×C₁₃	semidirect
550. #3265	C₂×C₁₃	semidirect
551. #3264	C₂×C₁₃	semidirect
552. #3264	C₂×C₁₃	semidirect
553. #3155	C₂×C₁₃	semidirect
554. #3062	C₂×C₁₃	semidirect
555. #3055	C₂×C₁₃	semidirect
556. #3045	C₂×C₁₃	semidirect
557. #3041	C₂×C₁₃	semidirect
558. #3012	C₂×C₁₃	semidirect
559. #3008	C₂×C₁₃	semidirect
560. #3002	C₂×C₁₃	semidirect
561. C₂×#447	C₂×C₁₃	semidirect
562. #2946	C₂×C₁₃	semidirect
563. #2933	C₂×C₁₃	semidirect
694. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
695. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
696. C₂²×#41	C₂²×C₁₃	semidirect
697. C₂³×D₄	C₂²×C₁₃	semidirect
701. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
702. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
703. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
704. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
705. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
706. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
707. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
708. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
709. C₂×#135	C₂²×C₁₃	semidirect
710. C₂×#135	C₂²×C₁₃	semidirect
711. C₂×#135	C₂²×C₁₃	semidirect
712. C₂²×SD₁₆	C₂²×C₁₃	semidirect
713. C₂²×D₈	C₂²×C₁₃	semidirect
714. C₂²×D₈	C₂²×C₁₃	semidirect
715. C₂²×D₈	C₂²×C₁₃	semidirect
716. C₂²×D₈	C₂²×C₁₃	semidirect
717. C₂×#131	C₂²×C₁₃	semidirect
718. C₂²×M₁₆	C₂²×C₁₃	semidirect
719. #550	C₂²×C₁₃	semidirect
720. #548	C₂²×C₁₃	semidirect
724. #546	C₂²×C₁₃	semidirect
725. #546	C₂²×C₁₃	semidirect
726. #546	C₂²×C₁₃	semidirect
730. D₄²	C₂²×C₁₃	semidirect
731. D₄²	C₂²×C₁₃	semidirect
732. D₄²	C₂²×C₁₃	semidirect
734. #537	C₂²×C₁₃	semidirect
736. #535	C₂²×C₁₃	semidirect
737. #535	C₂²×C₁₃	semidirect
738. #535	C₂²×C₁₃	semidirect
742. #525	C₂²×C₁₃	semidirect
744. C₂×#121	C₂²×C₁₃	semidirect
746. #520	C₂²×C₁₃	semidirect
747. #518	C₂²×C₁₃	semidirect
748. #496	C₂²×C₁₃	semidirect
749. #496	C₂²×C₁₃	semidirect
750. #495	C₂²×C₁₃	semidirect
751. #493	C₂²×C₁₃	semidirect
752. #469	C₂²×C₁₃	semidirect
753. #469	C₂²×C₁₃	semidirect
754. #468	C₂²×C₁₃	semidirect
755. #468	C₂²×C₁₃	semidirect
756. #466	C₂²×C₁₃	semidirect
757. #466	C₂²×C₁₃	semidirect
758. #465	C₂²×C₁₃	semidirect
759. #465	C₂²×C₁₃	semidirect
760. #464	C₂²×C₁₃	semidirect
761. #463	C₂²×C₁₃	semidirect
762. #463	C₂²×C₁₃	semidirect
763. #463	C₂²×C₁₃	semidirect
764. #460	C₂²×C₁₃	semidirect
765. #459	C₂²×C₁₃	semidirect
766. #459	C₂²×C₁₃	semidirect
767. #459	C₂²×C₁₃	semidirect
768. #452	C₂²×C₁₃	semidirect
769. #452	C₂²×C₁₃	semidirect
770. #452	C₂²×C₁₃	semidirect
771. #451	C₂²×C₁₃	semidirect
772. #450	C₂²×C₁₃	semidirect
773. #450	C₂²×C₁₃	semidirect
774. #449	C₂²×C₁₃	semidirect
775. #449	C₂²×C₁₃	semidirect
776. #449	C₂²×C₁₃	semidirect
777. #449	C₂²×C₁₃	semidirect
778. #449	C₂²×C₁₃	semidirect
779. #448	C₂²×C₁₃	semidirect
780. #447	C₂²×C₁₃	semidirect
781. #447	C₂²×C₁₃	semidirect
782. #447	C₂²×C₁₃	semidirect
783. #447	C₂²×C₁₃	semidirect
784. #447	C₂²×C₁₃	semidirect
785. #447	C₂²×C₁₃	semidirect
786. #447	C₂²×C₁₃	semidirect
787. #447	C₂²×C₁₃	semidirect
788. #442	C₂²×C₁₃	semidirect
789. #440	C₂²×C₁₃	semidirect
790. C₄×SD₁₆	C₂²×C₁₃	semidirect
791. C₄×D₈	C₂²×C₁₃	semidirect
792. #436	C₂²×C₁₃	semidirect
793. #435	C₂²×C₁₃	semidirect
794. #435	C₂²×C₁₃	semidirect
795. C₈×D₄	C₂²×C₁₃	semidirect
796. #428	C₂²×C₁₃	semidirect
797. #424	C₂²×C₁₃	semidirect
798. #418	C₂²×C₁₃	semidirect
799. #417	C₂²×C₁₃	semidirect
800. #416	C₂²×C₁₃	semidirect
801. #416	C₂²×C₁₃	semidirect
802. C₂×#102	C₂²×C₁₃	semidirect
803. C₂×#102	C₂²×C₁₃	semidirect
804. #408	C₂²×C₁₃	semidirect
805. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
806. #405	C₂²×C₁₃	semidirect
845. C₂²×C₁₃	#576	semidirect
879. C₂×#41	C₂³×C₁₃	semidirect
902. C₂²×D₄	C₂³×C₁₃	semidirect
913. AGL(1,ℤ/8)	D₄×C₁₃	semidirect
917. C₂×Q₁₆	C₂³×C₁₃	semidirect
918. C₂×Q₁₆	C₂³×C₁₃	semidirect
924. C₂×SD₁₆	C₂³×C₁₃	semidirect
925. C₂×SD₁₆	C₂³×C₁₃	semidirect
926. C₂×SD₁₆	C₂³×C₁₃	semidirect
927. C₂×SD₁₆	C₂³×C₁₃	semidirect
928. C₂×SD₁₆	C₂³×C₁₃	semidirect
941. C₂×D₈	C₂³×C₁₃	semidirect
942. C₂×D₈	C₂³×C₁₃	semidirect
943. C₂×D₈	C₂³×C₁₃	semidirect
949. C₂×M₁₆	C₂³×C₁₃	semidirect
953. C₂²×C₈	C₂³×C₁₃	semidirect
957. #127	C₂³×C₁₃	semidirect
961. #124	C₂³×C₁₃	semidirect
973. C₂²⋊Q₈	C₂³×C₁₃	semidirect
999. #121	C₂³×C₁₃	semidirect
1014. C₄×Q₈	C₂³×C₁₃	semidirect
1026. C₄×D₄	C₂³×C₁₃	semidirect
1037. #107	C₂³×C₁₃	semidirect
1038. #106	C₂³×C₁₃	semidirect
1039. C₄⋊C₈	C₂³×C₁₃	semidirect
1040. C₄⋊C₈	C₂³×C₁₃	semidirect
1041. #103	C₂³×C₁₃	semidirect
1042. #103	C₂³×C₁₃	semidirect
1043. #103	C₂³×C₁₃	semidirect
1044. #103	C₂³×C₁₃	semidirect
1045. #103	C₂³×C₁₃	semidirect
1050. #102	C₂³×C₁₃	semidirect
1051. #102	C₂³×C₁₃	semidirect
1052. #102	C₂³×C₁₃	semidirect
1053. #102	C₂³×C₁₃	semidirect
1054. #102	C₂³×C₁₃	semidirect
1055. #102	C₂³×C₁₃	semidirect
1056. #102	C₂³×C₁₃	semidirect
1061. C₂²⋊C₈	C₂³×C₁₃	semidirect
1062. C₂²⋊C₈	C₂³×C₁₃	semidirect
1063. #97	C₂³×C₁₃	semidirect
1064. C₄×C₈	C₂³×C₁₃	semidirect
1109. #41	C₂×D₄×C₁₃	semidirect
1174. C₂×D₄	C₂×D₄×C₁₃	semidirect
1213. SD₁₆	C₂×D₄×C₁₃	semidirect
1224. D₈	C₂×D₄×C₁₃	semidirect
1228. M₁₆	C₂×D₄×C₁₃	semidirect
1277. C₁₃	#61072	direct (N × H)
1446. C₂²	C₁₃×#576	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#576	2
C₂²×C₁₃×AGL(1,ℤ/8)	2
C₁₃×#3488	2
C₁₃×#3484	2
C₁₃×#3282	2
D₄×C₁₃×D₈	2
C₁₃×#3274	2
C₁₃×#3273	2
C₁₃×#3268	2
C₁₃×#3265	2
C₁₃×#3264	2
C₁₃×#3155	2
C₁₃×#3062	2
C₁₃×#3055	2
C₁₃×#3045	2
C₁₃×#3041	2
C₁₃×#3012	2
C₁₃×#3008	2
C₁₃×#3002	2
C₂×C₁₃×#447	2
C₁₃×#2946	2
C₁₃×#2933	2
#61072	13

Subgroups — C13×#61072 #15747411

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61072 #15747411