Subgroups — C₁₃×#61062 #15747401

Order 3328.

2750 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#577	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#575	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3278	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3277	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3273	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3272	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3154	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3061	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2951	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2930	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	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
27	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#577	—	2	8	no	—
29	C₁₃×#575	—	2	8	no	—
30	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
35	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
42	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
47	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
50	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
52	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#550	C₂²	1	2	yes	—
54	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
55	C₁₃×#548	C₂²	1	2	yes	complemented
56	C₁₃×#548	C₂²	1	2	yes	complemented
57	C₁₃×#547	—	2	2	no	—
58	C₁₃×#547	C₂²	1	2	yes	complemented
59	C₁₃×#546	—	2	2	no	—
60	C₁₃×#546	—	2	2	no	—
61	C₁₃×#546	C₂²	1	2	yes	—
62	C₁₃×#546	C₂²	1	2	yes	complemented
63	D₄²×C₁₃	—	2	2	no	—
64	D₄²×C₁₃	C₂²	1	2	yes	complemented
65	C₁₃×#537	—	2	1	no	—
66	C₁₃×#537	—	2	1	no	—
67	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#536	—	2	1	no	—
70	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#535	—	2	1	no	—
72	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#525	—	2	1	no	—
74	C₁₃×#525	—	2	1	no	—
75	C₁₃×#525	C₂²	1	1	yes	characteristic
76	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
77	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₁₃×#121	—	2	1	no	—
79	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
80	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#497	C₂²	1	2	yes	complemented
83	C₁₃×#496	C₂²	1	2	yes	complemented
84	C₁₃×#495	C₂²	1	2	yes	complemented
85	C₁₃×#492	C₂²	1	2	yes	complemented
86	C₁₃×#468	C₂²	1	2	yes	complemented
87	C₁₃×#468	C₂²	1	2	yes	complemented
88	C₁₃×#468	C₂²	1	2	yes	complemented
89	C₁₃×#468	C₂²	1	2	yes	complemented
90	C₁₃×#468	C₂²	1	2	yes	complemented
91	C₁₃×#468	C₂²	1	2	yes	complemented
92	C₁₃×#467	C₂²	1	2	yes	complemented
93	C₁₃×#466	C₂²	1	2	yes	complemented
94	C₁₃×#464	C₂²	1	2	yes	complemented
95	C₁₃×#464	C₂²	1	2	yes	complemented
96	C₁₃×#463	C₂²	1	2	yes	complemented
97	C₁₃×#463	C₂²	1	2	yes	complemented
98	C₁₃×#462	C₂²	1	2	yes	complemented
99	C₁₃×#461	C₂²	1	2	yes	complemented
100	C₁₃×#460	C₂²	1	2	yes	complemented
101	C₁₃×#459	C₂²	1	2	yes	complemented
102	C₁₃×#452	C₂²	1	2	yes	complemented
103	C₁₃×#452	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#451	C₂²	1	2	yes	complemented
107	C₁₃×#451	C₂²	1	2	yes	complemented
108	C₁₃×#450	C₂²	1	2	yes	complemented
109	C₁₃×#450	C₂²	1	2	yes	complemented
110	C₁₃×#449	C₂²	1	2	yes	complemented
111	C₁₃×#449	C₂²	1	2	yes	complemented
112	C₁₃×#449	C₂²	1	2	yes	complemented
113	C₁₃×#449	C₂²	1	2	yes	complemented
114	C₁₃×#448	C₂²	1	2	yes	complemented
115	C₁₃×#448	C₂²	1	2	yes	complemented
116	C₁₃×#447	C₂²	1	2	yes	complemented
117	C₁₃×#447	C₂²	1	2	yes	complemented
118	C₁₃×#440	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
121	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#436	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₃×#103	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	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×2₋¹⁺⁴	—	2	4	no	—
138	C₁₃×2₋¹⁺⁴	—	4	2	no	—
139	C₁₃×H(5,𝔽₂)	—	2	4	no	—
140	C₁₃×H(5,𝔽₂)	—	4	2	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	—	2	1	no	—
143	C₂×C₁₃×#41	—	2	2	no	—
144	C₂×C₁₃×#41	—	2	1	no	—
145	C₂×C₁₃×#41	—	2	1	no	—
146	C₂×C₁₃×#41	—	2	1	no	—
147	C₂×C₁₃×#41	—	2	1	no	—
148	C₂×C₁₃×#41	—	2	4	no	—
149	C₂×C₁₃×#41	—	2	4	no	—
150	C₂×C₁₃×#41	—	4	2	no	—
151	C₂×C₁₃×#41	—	4	2	no	—
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	1	yes	characteristic
156	C₂×C₁₃×#41	C₂³	1	2	yes	—
157	C₂×C₁₃×#41	C₂³	1	2	yes	—
158	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
163	C₂²×Q₈×C₁₃	—	2	1	no	—
164	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
165	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
166	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
167	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
168	C₂²×D₄×C₁₃	—	2	1	no	—
169	C₂²×D₄×C₁₃	—	2	1	no	—
170	C₂²×D₄×C₁₃	—	2	1	no	—
171	C₂²×D₄×C₁₃	—	2	1	no	—
172	C₂²×D₄×C₁₃	—	2	2	no	—
173	C₂²×D₄×C₁₃	—	2	2	no	—
174	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₁₃	—	2	1	no	—
179	C₂³×C₄×C₁₃	—	2	1	no	—
180	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
181	C₁₃×#137	—	2	4	no	—
182	C₁₃×#137	—	2	4	no	—
183	C₁₃×#137	—	2	4	no	—
184	C₁₃×#137	—	2	8	no	—
185	C₁₃×#137	—	2	4	no	—
186	C₁₃×#137	—	2	4	no	—
187	C₁₃×#137	—	4	2	no	—
188	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
189	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
190	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
191	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
192	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
193	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
194	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
195	C₁₃×#135	—	2	4	no	—
196	C₁₃×#135	—	2	4	no	—
197	C₁₃×#135	—	2	8	no	—
198	C₁₃×#135	—	2	4	no	—
199	C₁₃×#135	D₄	1	8	yes	complemented
200	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
202	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
205	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×SD₁₆	—	2	8	no	—
207	C₂×C₁₃×SD₁₆	—	2	4	no	—
208	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
210	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
213	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
216	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
218	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
219	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×D₈	C₂³	1	2	yes	—
224	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×D₈	C₂³	1	2	yes	—
227	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
228	C₁₃×#131	—	2	4	no	—
229	C₂×C₁₃×M₁₆	—	2	4	no	—
230	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
237	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊Q₈	—	2	2	no	—
241	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
242	C₁₃×#127	—	2	2	no	—
243	C₁₃×#127	C₂³	1	2	yes	—
244	C₁₃×#124	—	2	2	no	—
245	C₁₃×#124	—	2	2	no	—
246	C₁₃×#124	C₂³	1	2	yes	—
247	C₁₃×#124	C₂³	1	2	yes	—
248	C₁₃×#123	—	2	2	no	—
249	C₁₃×#123	—	2	2	no	—
250	C₁₃×#123	—	2	2	no	—
251	C₁₃×#123	—	2	2	no	—
252	C₁₃×#123	—	2	2	no	—
253	C₁₃×#123	D₄	1	2	yes	—
254	C₁₃×C₂²⋊Q₈	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	—	2	1	no	—
256	C₁₃×C₂²⋊Q₈	—	2	1	no	—
257	C₁₃×C₂²⋊Q₈	—	2	1	no	—
258	C₁₃×C₂²⋊Q₈	—	2	1	no	—
259	C₁₃×C₂²⋊Q₈	—	2	2	no	—
260	C₁₃×C₂²⋊Q₈	—	2	1	no	—
261	C₁₃×C₂²⋊Q₈	—	2	2	no	—
262	C₁₃×C₂²⋊Q₈	—	2	2	no	—
263	C₁₃×C₂²⋊Q₈	—	2	2	no	—
264	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
265	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
266	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
267	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
268	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
269	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
270	C₁₃×#121	—	2	1	no	—
271	C₁₃×#121	—	2	2	no	—
272	C₁₃×#121	—	2	1	no	—
273	C₁₃×#121	—	2	2	no	—
274	C₁₃×#121	—	2	2	no	—
275	C₁₃×#121	—	2	2	no	—
276	C₁₃×#121	—	2	2	no	—
277	C₁₃×#121	—	2	1	no	—
278	C₁₃×#121	—	2	1	no	—
279	C₁₃×#121	—	2	1	no	—
280	C₁₃×#121	—	2	1	no	—
281	C₁₃×#121	—	2	2	no	—
282	C₁₃×#121	—	2	2	no	—
283	C₁₃×#121	—	2	2	no	—
284	C₁₃×#121	—	2	2	no	—
285	C₁₃×#121	—	2	2	no	—
286	C₁₃×#121	D₄	1	1	yes	characteristic
287	C₁₃×#121	D₄	1	1	yes	characteristic
288	C₁₃×#121	C₂³	1	2	yes	—
289	C₁₃×#121	C₂³	1	2	yes	—
290	C₁₃×#121	C₂³	1	2	yes	—
291	C₁₃×#121	C₂³	1	2	yes	—
292	C₁₃×#120	—	2	2	no	—
293	C₁₃×#120	—	2	2	no	—
294	C₁₃×#120	—	2	2	no	—
295	C₁₃×#120	—	2	2	no	—
296	C₁₃×#120	—	2	2	no	—
297	C₁₃×#120	D₄	1	2	yes	—
298	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
299	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
300	C₄×D₄×C₁₃	—	2	2	no	—
301	C₄×D₄×C₁₃	—	2	2	no	—
302	C₄×D₄×C₁₃	—	2	2	no	—
303	C₄×D₄×C₁₃	—	2	2	no	—
304	C₄×D₄×C₁₃	—	2	2	no	—
305	C₄×D₄×C₁₃	—	2	2	no	—
306	C₄×D₄×C₁₃	C₂³	1	2	yes	—
307	C₄×D₄×C₁₃	C₂³	1	2	yes	—
308	C₄×D₄×C₁₃	C₂³	1	2	yes	—
309	C₄×D₄×C₁₃	C₂³	1	2	yes	—
310	C₁₃×#117	—	2	1	no	—
311	C₁₃×#117	—	2	1	no	—
312	C₁₃×#117	C₂³	1	1	yes	characteristic
313	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
314	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
315	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
316	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
317	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
320	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
321	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
322	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
323	C₁₃×#107	C₂³	1	2	yes	—
324	C₁₃×#107	C₂³	1	2	yes	—
325	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
326	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	C₂³	1	2	yes	—
330	C₁₃×#103	C₂³	1	2	yes	—
331	C₁₃×#103	C₂³	1	2	yes	—
332	C₁₃×#103	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×#102	C₂³	1	2	yes	—
339	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
341	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
343	C₁₃×#97	C₂³	1	2	yes	—
344	C₄×C₈×C₁₃	C₂³	1	2	yes	—
345	#61062	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
346	C₂⁴×C₁₃	—	2	1	no	—
347	C₂⁴×C₁₃	—	2	1	no	—
348	C₂⁴×C₁₃	—	2	2	no	—
349	C₂⁴×C₁₃	—	2	1	no	—
350	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₁₃×#41	—	2	2	no	—
352	C₁₃×#41	—	2	2	no	—
353	C₁₃×#41	—	2	2	no	—
354	C₁₃×#41	—	2	2	no	—
355	C₁₃×#41	—	2	4	no	—
356	C₁₃×#41	—	2	2	no	—
357	C₁₃×#41	—	2	2	no	—
358	C₁₃×#41	—	2	4	no	—
359	C₁₃×#41	—	2	2	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	4	no	—
367	C₁₃×#41	—	4	1	no	—
368	C₁₃×#41	—	4	1	no	—
369	C₁₃×#41	—	4	1	no	—
370	C₁₃×#41	—	4	1	no	—
371	C₁₃×#41	—	4	2	no	—
372	C₁₃×#41	—	4	2	no	—
373	C₁₃×#41	—	4	4	no	—
374	C₁₃×#41	—	4	4	no	—
375	C₁₃×#41	—	4	4	no	—
376	C₁₃×#41	—	4	4	no	—
377	C₁₃×#41	—	4	8	no	—
378	C₁₃×#41	C₂×D₄	1	4	yes	—
379	C₁₃×#41	C₂×D₄	1	4	yes	complemented
380	C₂×Q₈×C₁₃	—	2	1	no	—
381	C₂×Q₈×C₁₃	—	2	1	no	—
382	C₂×Q₈×C₁₃	—	2	2	no	—
383	C₂×Q₈×C₁₃	—	2	1	no	—
384	C₂×Q₈×C₁₃	—	2	4	no	—
385	C₂×Q₈×C₁₃	—	2	2	no	—
386	C₂×Q₈×C₁₃	—	2	2	no	—
387	C₂×Q₈×C₁₃	—	2	2	no	—
388	C₂×Q₈×C₁₃	—	2	2	no	—
389	C₂×Q₈×C₁₃	—	4	1	no	—
390	C₂×Q₈×C₁₃	—	4	1	no	—
391	C₂×Q₈×C₁₃	—	4	2	no	—
392	C₂×Q₈×C₁₃	—	4	4	no	—
393	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
396	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂×D₄×C₁₃	—	2	1	no	—
400	C₂×D₄×C₁₃	—	2	1	no	—
401	C₂×D₄×C₁₃	—	2	4	no	—
402	C₂×D₄×C₁₃	—	2	2	no	—
403	C₂×D₄×C₁₃	—	2	2	no	—
404	C₂×D₄×C₁₃	—	2	2	no	—
405	C₂×D₄×C₁₃	—	2	1	no	—
406	C₂×D₄×C₁₃	—	2	1	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	1	no	—
411	C₂×D₄×C₁₃	—	2	2	no	—
412	C₂×D₄×C₁₃	—	2	1	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	—	2	1	no	—
418	C₂×D₄×C₁₃	—	2	2	no	—
419	C₂×D₄×C₁₃	—	2	1	no	—
420	C₂×D₄×C₁₃	—	2	1	no	—
421	C₂×D₄×C₁₃	—	2	2	no	—
422	C₂×D₄×C₁₃	—	2	2	no	—
423	C₂×D₄×C₁₃	—	2	2	no	—
424	C₂×D₄×C₁₃	—	4	1	no	—
425	C₂×D₄×C₁₃	—	4	1	no	—
426	C₂×D₄×C₁₃	—	4	2	no	—
427	C₂×D₄×C₁₃	—	4	4	no	—
428	C₂×D₄×C₁₃	—	4	8	no	—
429	C₂×D₄×C₁₃	—	4	4	no	—
430	C₂×D₄×C₁₃	—	4	4	no	—
431	C₂×D₄×C₁₃	—	8	4	no	—
432	C₂×D₄×C₁₃	—	8	2	no	—
433	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
434	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
435	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
436	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
437	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
438	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
439	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
441	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	—	2	1	no	—
443	C₂²×C₄×C₁₃	—	2	1	no	—
444	C₂²×C₄×C₁₃	—	2	2	no	—
445	C₂²×C₄×C₁₃	—	2	2	no	—
446	C₂²×C₄×C₁₃	—	2	1	no	—
447	C₂²×C₄×C₁₃	—	2	1	no	—
448	C₂²×C₄×C₁₃	—	2	2	no	—
449	C₂²×C₄×C₁₃	—	2	1	no	—
450	C₂²×C₄×C₁₃	—	2	1	no	—
451	C₂²×C₄×C₁₃	—	2	1	no	—
452	C₂²×C₄×C₁₃	—	2	1	no	—
453	C₂²×C₄×C₁₃	—	2	2	no	—
454	C₂²×C₄×C₁₃	—	2	1	no	—
455	C₂²×C₄×C₁₃	—	2	1	no	—
456	C₂²×C₄×C₁₃	—	2	2	no	—
457	C₂²×C₄×C₁₃	—	2	1	no	—
458	C₂²×C₄×C₁₃	—	2	1	no	—
459	C₂²×C₄×C₁₃	—	2	1	no	—
460	C₂²×C₄×C₁₃	—	2	2	no	—
461	C₂²×C₄×C₁₃	—	2	2	no	—
462	C₂²×C₄×C₁₃	—	4	4	no	—
463	C₂²×C₄×C₁₃	—	4	4	no	—
464	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
465	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
466	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
467	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
468	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₁₃×Q₁₆	—	2	4	no	—
472	C₁₃×Q₁₆	—	2	2	no	—
473	C₁₃×Q₁₆	—	2	2	no	—
474	C₁₃×Q₁₆	—	2	2	no	—
475	C₁₃×Q₁₆	—	4	2	no	—
476	C₁₃×Q₁₆	C₂×D₄	1	4	yes	complemented
477	C₁₃×SD₁₆	—	2	4	no	—
478	C₁₃×SD₁₆	—	2	2	no	—
479	C₁₃×SD₁₆	—	2	2	no	—
480	C₁₃×SD₁₆	—	2	4	no	—
481	C₁₃×SD₁₆	—	2	2	no	—
482	C₁₃×SD₁₆	—	2	2	no	—
483	C₁₃×SD₁₆	—	2	4	no	—
484	C₁₃×SD₁₆	—	2	4	no	—
485	C₁₃×SD₁₆	—	2	2	no	—
486	C₁₃×SD₁₆	—	2	2	no	—
487	C₁₃×SD₁₆	—	4	2	no	—
488	C₁₃×SD₁₆	—	4	2	no	—
489	C₁₃×SD₁₆	C₂×D₄	1	4	yes	complemented
490	C₁₃×SD₁₆	C₂×D₄	1	4	yes	complemented
491	C₁₃×D₈	—	2	2	no	—
492	C₁₃×D₈	—	2	2	no	—
493	C₁₃×D₈	—	2	4	no	—
494	C₁₃×D₈	—	2	2	no	—
495	C₁₃×D₈	—	4	2	no	—
496	C₁₃×D₈	C₂×D₄	1	4	yes	complemented
497	C₁₃×M₁₆	—	2	2	no	—
498	C₁₃×M₁₆	—	2	2	no	—
499	C₁₃×M₁₆	—	2	2	no	—
500	C₁₃×M₁₆	—	2	2	no	—
501	C₁₃×M₁₆	—	2	2	no	—
502	C₁₃×M₁₆	—	2	2	no	—
503	C₁₃×M₁₆	—	2	4	no	—
504	C₂×C₈×C₁₃	—	2	2	no	—
505	C₂×C₈×C₁₃	—	2	4	no	—
506	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	complemented
507	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
508	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
509	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₁₃×C₄⋊C₄	—	2	2	no	—
514	C₁₃×C₄⋊C₄	—	2	1	no	—
515	C₁₃×C₄⋊C₄	—	2	1	no	—
516	C₁₃×C₄⋊C₄	—	2	2	no	—
517	C₁₃×C₄⋊C₄	—	2	2	no	—
518	C₁₃×C₄⋊C₄	—	2	2	no	—
519	C₁₃×C₄⋊C₄	—	2	2	no	—
520	C₁₃×C₄⋊C₄	—	2	2	no	—
521	C₁₃×C₄⋊C₄	—	2	2	no	—
522	C₁₃×C₄⋊C₄	—	2	2	no	—
523	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
524	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
525	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
526	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
527	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
528	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
529	C₁₃×C₂²⋊C₄	—	2	2	no	—
530	C₁₃×C₂²⋊C₄	—	2	2	no	—
531	C₁₃×C₂²⋊C₄	—	2	2	no	—
532	C₁₃×C₂²⋊C₄	—	2	2	no	—
533	C₁₃×C₂²⋊C₄	—	2	2	no	—
534	C₁₃×C₂²⋊C₄	—	2	2	no	—
535	C₁₃×C₂²⋊C₄	—	2	2	no	—
536	C₁₃×C₂²⋊C₄	—	2	2	no	—
537	C₁₃×C₂²⋊C₄	—	2	2	no	—
538	C₁₃×C₂²⋊C₄	—	2	2	no	—
539	C₁₃×C₂²⋊C₄	—	2	2	no	—
540	C₁₃×C₂²⋊C₄	—	2	2	no	—
541	C₁₃×C₂²⋊C₄	—	2	2	no	—
542	C₁₃×C₂²⋊C₄	—	2	2	no	—
543	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
544	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
545	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
546	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
547	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
548	C₄²×C₁₃	—	2	2	no	—
549	C₄²×C₁₃	—	2	2	no	—
550	C₄²×C₁₃	C₂⁴	1	2	yes	—
551	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
552	C₂×#575	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3488	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3278	C₂×C₁₃	1	2	yes	complemented
556	#3277	C₂×C₁₃	1	2	yes	complemented
557	#3273	C₂×C₁₃	1	2	yes	complemented
558	#3272	C₂×C₁₃	1	2	yes	complemented
559	#3269	C₂×C₁₃	1	2	yes	complemented
560	#3268	C₂×C₁₃	1	2	yes	complemented
561	#3266	C₂×C₁₃	1	2	yes	complemented
562	#3265	C₂×C₁₃	1	2	yes	complemented
563	#3154	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#3061	C₂×C₁₃	1	1	yes	characteristic, complemented
565	C₂×#468	C₂×C₁₃	1	1	yes	characteristic, complemented
566	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
567	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
569	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
570	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
571	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
572	#2951	C₂×C₁₃	1	1	yes	characteristic, complemented
573	#2930	C₂×C₁₃	1	1	yes	characteristic, complemented
574	C₂³×C₁₃	—	2	1	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	—	2	2	no	—
577	C₂³×C₁₃	—	2	1	no	—
578	C₂³×C₁₃	—	2	2	no	—
579	C₂³×C₁₃	—	2	1	no	—
580	C₂³×C₁₃	—	4	1	no	—
581	C₂³×C₁₃	—	4	1	no	—
582	C₂³×C₁₃	—	4	2	no	—
583	C₂³×C₁₃	—	4	2	no	—
584	C₂³×C₁₃	—	4	4	no	—
585	C₂³×C₁₃	—	4	2	no	—
586	C₂³×C₁₃	—	4	2	no	—
587	C₂³×C₁₃	—	4	2	no	—
588	C₂³×C₁₃	—	8	1	no	—
589	C₂³×C₁₃	—	8	1	no	—
590	C₂³×C₁₃	—	8	1	no	—
591	C₂³×C₁₃	—	8	2	no	—
592	C₂³×C₁₃	—	8	1	no	—
593	C₂³×C₁₃	—	8	2	no	—
594	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
595	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
596	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
597	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
598	Q₈×C₁₃	—	2	2	no	—
599	Q₈×C₁₃	—	2	1	no	—
600	Q₈×C₁₃	—	2	1	no	—
601	Q₈×C₁₃	—	2	2	no	—
602	Q₈×C₁₃	—	2	1	no	—
603	Q₈×C₁₃	—	2	1	no	—
604	Q₈×C₁₃	—	2	1	no	—
605	Q₈×C₁₃	—	2	2	no	—
606	Q₈×C₁₃	—	2	1	no	—
607	Q₈×C₁₃	—	4	4	no	—
608	Q₈×C₁₃	—	4	2	no	—
609	Q₈×C₁₃	—	4	2	no	—
610	Q₈×C₁₃	—	4	2	no	—
611	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
612	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
613	D₄×C₁₃	—	2	4	no	—
614	D₄×C₁₃	—	2	4	no	—
615	D₄×C₁₃	—	2	4	no	—
616	D₄×C₁₃	—	2	2	no	—
617	D₄×C₁₃	—	2	1	no	—
618	D₄×C₁₃	—	2	1	no	—
619	D₄×C₁₃	—	2	2	no	—
620	D₄×C₁₃	—	2	1	no	—
621	D₄×C₁₃	—	2	1	no	—
622	D₄×C₁₃	—	2	1	no	—
623	D₄×C₁₃	—	2	2	no	—
624	D₄×C₁₃	—	2	1	no	—
625	D₄×C₁₃	—	4	2	no	—
626	D₄×C₁₃	—	4	2	no	—
627	D₄×C₁₃	—	4	4	no	—
628	D₄×C₁₃	—	4	2	no	—
629	D₄×C₁₃	—	4	2	no	—
630	D₄×C₁₃	—	4	4	no	—
631	D₄×C₁₃	—	4	2	no	—
632	D₄×C₁₃	—	4	2	no	—
633	D₄×C₁₃	—	4	2	no	—
634	D₄×C₁₃	—	4	2	no	—
635	D₄×C₁₃	—	4	4	no	—
636	D₄×C₁₃	—	4	4	no	—
637	D₄×C₁₃	—	4	2	no	—
638	D₄×C₁₃	—	4	2	no	—
639	D₄×C₁₃	—	4	2	no	—
640	D₄×C₁₃	—	8	2	no	—
641	D₄×C₁₃	—	8	2	no	—
642	D₄×C₁₃	—	8	2	no	—
643	D₄×C₁₃	—	8	2	no	—
644	D₄×C₁₃	—	8	2	no	—
645	D₄×C₁₃	C₂²×D₄	1	2	yes	—
646	D₄×C₁₃	C₂²×D₄	1	2	yes	—
647	C₂×C₄×C₁₃	—	2	2	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	2	no	—
651	C₂×C₄×C₁₃	—	2	2	no	—
652	C₂×C₄×C₁₃	—	2	4	no	—
653	C₂×C₄×C₁₃	—	2	4	no	—
654	C₂×C₄×C₁₃	—	2	2	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	2	no	—
660	C₂×C₄×C₁₃	—	2	2	no	—
661	C₂×C₄×C₁₃	—	2	2	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	2	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	4	2	no	—
666	C₂×C₄×C₁₃	—	4	2	no	—
667	C₂×C₄×C₁₃	—	4	4	no	—
668	C₂×C₄×C₁₃	—	4	2	no	—
669	C₂×C₄×C₁₃	—	4	2	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	4	no	—
674	C₂×C₄×C₁₃	—	4	2	no	—
675	C₂×C₄×C₁₃	—	4	2	no	—
676	C₂×C₄×C₁₃	—	4	2	no	—
677	C₂×C₄×C₁₃	—	8	2	no	—
678	C₂×C₄×C₁₃	—	8	2	no	—
679	C₂×C₄×C₁₃	—	8	1	no	—
680	C₂×C₄×C₁₃	—	8	1	no	—
681	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	C₂²×D₄	1	1	yes	characteristic
687	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
688	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
689	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
690	C₈×C₁₃	—	2	1	no	—
691	C₈×C₁₃	—	2	1	no	—
692	C₈×C₁₃	—	2	2	no	—
693	C₈×C₁₃	—	2	2	no	—
694	C₈×C₁₃	C₂²×D₄	1	2	yes	—
695	C₈×C₁₃	C₂²×D₄	1	2	yes	—
696	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
698	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
699	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	#577	—	2	8	no	—
701	#575	—	2	8	no	—
702	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
704	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
705	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
706	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
707	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
709	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
714	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
717	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
718	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
720	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
723	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#550	C₂²×C₁₃	1	2	yes	—
726	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
727	#548	C₂²×C₁₃	1	2	yes	complemented
728	#548	C₂²×C₁₃	1	2	yes	complemented
729	#547	—	2	2	no	—
730	#547	C₂²×C₁₃	1	2	yes	complemented
731	#546	—	2	2	no	—
732	#546	—	2	2	no	—
733	#546	C₂²×C₁₃	1	2	yes	—
734	#546	C₂²×C₁₃	1	2	yes	complemented
735	D₄²	—	2	2	no	—
736	D₄²	C₂²×C₁₃	1	2	yes	complemented
737	#537	—	2	1	no	—
738	#537	—	2	1	no	—
739	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
741	#536	—	2	1	no	—
742	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
743	#535	—	2	1	no	—
744	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
745	#525	—	2	1	no	—
746	#525	—	2	1	no	—
747	#525	C₂²×C₁₃	1	1	yes	characteristic
748	C₂×C₂²⋊Q₈	—	2	1	no	—
749	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
750	C₂×#121	—	2	1	no	—
751	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
752	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
753	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
754	#497	C₂²×C₁₃	1	2	yes	complemented
755	#496	C₂²×C₁₃	1	2	yes	complemented
756	#495	C₂²×C₁₃	1	2	yes	complemented
757	#492	C₂²×C₁₃	1	2	yes	complemented
758	#468	C₂²×C₁₃	1	2	yes	complemented
759	#468	C₂²×C₁₃	1	2	yes	complemented
760	#468	C₂²×C₁₃	1	2	yes	complemented
761	#468	C₂²×C₁₃	1	2	yes	complemented
762	#468	C₂²×C₁₃	1	2	yes	complemented
763	#468	C₂²×C₁₃	1	2	yes	complemented
764	#467	C₂²×C₁₃	1	2	yes	complemented
765	#466	C₂²×C₁₃	1	2	yes	complemented
766	#464	C₂²×C₁₃	1	2	yes	complemented
767	#464	C₂²×C₁₃	1	2	yes	complemented
768	#463	C₂²×C₁₃	1	2	yes	complemented
769	#463	C₂²×C₁₃	1	2	yes	complemented
770	#462	C₂²×C₁₃	1	2	yes	complemented
771	#461	C₂²×C₁₃	1	2	yes	complemented
772	#460	C₂²×C₁₃	1	2	yes	complemented
773	#459	C₂²×C₁₃	1	2	yes	complemented
774	#452	C₂²×C₁₃	1	2	yes	complemented
775	#452	C₂²×C₁₃	1	2	yes	complemented
776	#452	C₂²×C₁₃	1	2	yes	complemented
777	#452	C₂²×C₁₃	1	2	yes	complemented
778	#451	C₂²×C₁₃	1	2	yes	complemented
779	#451	C₂²×C₁₃	1	2	yes	complemented
780	#450	C₂²×C₁₃	1	2	yes	complemented
781	#450	C₂²×C₁₃	1	2	yes	complemented
782	#449	C₂²×C₁₃	1	2	yes	complemented
783	#449	C₂²×C₁₃	1	2	yes	complemented
784	#449	C₂²×C₁₃	1	2	yes	complemented
785	#449	C₂²×C₁₃	1	2	yes	complemented
786	#448	C₂²×C₁₃	1	2	yes	complemented
787	#448	C₂²×C₁₃	1	2	yes	complemented
788	#447	C₂²×C₁₃	1	2	yes	complemented
789	#447	C₂²×C₁₃	1	2	yes	complemented
790	#440	C₂²×C₁₃	1	2	yes	complemented
791	#440	C₂²×C₁₃	1	2	yes	complemented
792	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
793	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
794	#436	C₂²×C₁₃	1	2	yes	complemented
795	#436	C₂²×C₁₃	1	2	yes	complemented
796	#435	C₂²×C₁₃	1	2	yes	complemented
797	#435	C₂²×C₁₃	1	2	yes	complemented
798	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
800	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
801	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
802	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
803	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
804	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
805	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
806	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
807	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
808	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	1	no	—
815	C₂²×C₁₃	—	2	2	no	—
816	C₂²×C₁₃	—	2	1	no	—
817	C₂²×C₁₃	—	2	1	no	—
818	C₂²×C₁₃	—	2	1	no	—
819	C₂²×C₁₃	—	2	2	no	—
820	C₂²×C₁₃	—	2	2	no	—
821	C₂²×C₁₃	—	2	2	no	—
822	C₂²×C₁₃	—	4	1	no	—
823	C₂²×C₁₃	—	4	1	no	—
824	C₂²×C₁₃	—	4	1	no	—
825	C₂²×C₁₃	—	4	1	no	—
826	C₂²×C₁₃	—	4	2	no	—
827	C₂²×C₁₃	—	4	1	no	—
828	C₂²×C₁₃	—	4	1	no	—
829	C₂²×C₁₃	—	4	1	no	—
830	C₂²×C₁₃	—	4	2	no	—
831	C₂²×C₁₃	—	4	1	no	—
832	C₂²×C₁₃	—	4	1	no	—
833	C₂²×C₁₃	—	4	1	no	—
834	C₂²×C₁₃	—	4	2	no	—
835	C₂²×C₁₃	—	8	2	no	—
836	C₂²×C₁₃	—	8	4	no	—
837	C₂²×C₁₃	—	8	4	no	—
838	C₂²×C₁₃	—	16	2	no	—
839	C₂²×C₁₃	—	16	4	no	—
840	C₂²×C₁₃	D₄²	1	2	yes	—
841	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
842	C₄×C₁₃	—	2	2	no	—
843	C₄×C₁₃	—	2	2	no	—
844	C₄×C₁₃	—	2	1	no	—
845	C₄×C₁₃	—	2	1	no	—
846	C₄×C₁₃	—	2	2	no	—
847	C₄×C₁₃	—	2	2	no	—
848	C₄×C₁₃	—	2	2	no	—
849	C₄×C₁₃	—	4	2	no	—
850	C₄×C₁₃	—	4	2	no	—
851	C₄×C₁₃	—	4	1	no	—
852	C₄×C₁₃	—	4	1	no	—
853	C₄×C₁₃	—	4	2	no	—
854	C₄×C₁₃	D₄²	1	2	yes	—
855	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
856	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
857	2₋¹⁺⁴	—	2	4	no	—
858	2₋¹⁺⁴	—	4	2	no	—
859	H(5,𝔽₂)	—	2	4	no	—
860	H(5,𝔽₂)	—	4	2	no	—
861	C₂×#41	—	2	1	no	—
862	C₂×#41	—	2	1	no	—
863	C₂×#41	—	2	2	no	—
864	C₂×#41	—	2	1	no	—
865	C₂×#41	—	2	1	no	—
866	C₂×#41	—	2	1	no	—
867	C₂×#41	—	2	1	no	—
868	C₂×#41	—	2	4	no	—
869	C₂×#41	—	2	4	no	—
870	C₂×#41	—	4	2	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	1	yes	characteristic
875	C₂×#41	C₂³×C₁₃	1	2	yes	—
876	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
877	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
878	C₂×#41	C₂³×C₁₃	1	2	yes	—
879	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
880	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
881	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
883	C₂²×Q₈	—	2	1	no	—
884	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
885	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
886	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
887	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
888	C₂²×D₄	—	2	1	no	—
889	C₂²×D₄	—	2	1	no	—
890	C₂²×D₄	—	2	1	no	—
891	C₂²×D₄	—	2	1	no	—
892	C₂²×D₄	—	2	2	no	—
893	C₂²×D₄	—	2	2	no	—
894	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
895	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
896	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
897	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
898	C₂³×C₄	—	2	1	no	—
899	C₂³×C₄	—	2	1	no	—
900	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
901	#137	—	2	4	no	—
902	#137	—	2	4	no	—
903	#137	—	2	4	no	—
904	#137	—	2	8	no	—
905	#137	—	2	4	no	—
906	#137	—	2	4	no	—
907	#137	—	4	2	no	—
908	AGL(1,ℤ/8)	—	2	4	no	—
909	AGL(1,ℤ/8)	—	2	4	no	—
910	AGL(1,ℤ/8)	—	2	4	no	—
911	AGL(1,ℤ/8)	—	2	4	no	—
912	AGL(1,ℤ/8)	—	2	4	no	—
913	AGL(1,ℤ/8)	—	2	8	no	—
914	AGL(1,ℤ/8)	—	4	2	no	—
915	#135	—	2	4	no	—
916	#135	—	2	4	no	—
917	#135	—	2	8	no	—
918	#135	—	2	4	no	—
919	#135	D₄×C₁₃	1	8	yes	complemented
920	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
921	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
922	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
923	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
925	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
926	C₂×SD₁₆	—	2	8	no	—
927	C₂×SD₁₆	—	2	4	no	—
928	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
929	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
930	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
931	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
932	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
933	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
934	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
935	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
936	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
938	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
939	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
940	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
941	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
942	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
943	C₂×D₈	C₂³×C₁₃	1	2	yes	—
944	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
945	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
946	C₂×D₈	C₂³×C₁₃	1	2	yes	—
947	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
948	#131	—	2	4	no	—
949	C₂×M₁₆	—	2	4	no	—
950	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
951	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
952	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
953	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
954	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
956	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
957	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
958	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
959	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
960	C₄⋊Q₈	—	2	2	no	—
961	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
962	#127	—	2	2	no	—
963	#127	C₂³×C₁₃	1	2	yes	—
964	#124	—	2	2	no	—
965	#124	—	2	2	no	—
966	#124	C₂³×C₁₃	1	2	yes	—
967	#124	C₂³×C₁₃	1	2	yes	—
968	#123	—	2	2	no	—
969	#123	—	2	2	no	—
970	#123	—	2	2	no	—
971	#123	—	2	2	no	—
972	#123	—	2	2	no	—
973	#123	D₄×C₁₃	1	2	yes	—
974	C₂²⋊Q₈	—	2	1	no	—
975	C₂²⋊Q₈	—	2	1	no	—
976	C₂²⋊Q₈	—	2	1	no	—
977	C₂²⋊Q₈	—	2	1	no	—
978	C₂²⋊Q₈	—	2	1	no	—
979	C₂²⋊Q₈	—	2	2	no	—
980	C₂²⋊Q₈	—	2	1	no	—
981	C₂²⋊Q₈	—	2	2	no	—
982	C₂²⋊Q₈	—	2	2	no	—
983	C₂²⋊Q₈	—	2	2	no	—
984	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
985	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
986	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
987	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
988	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
989	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
990	#121	—	2	1	no	—
991	#121	—	2	2	no	—
992	#121	—	2	1	no	—
993	#121	—	2	2	no	—
994	#121	—	2	2	no	—
995	#121	—	2	2	no	—
996	#121	—	2	2	no	—
997	#121	—	2	1	no	—
998	#121	—	2	1	no	—
999	#121	—	2	1	no	—
1000	#121	—	2	1	no	—
1001	#121	—	2	2	no	—
1002	#121	—	2	2	no	—
1003	#121	—	2	2	no	—
1004	#121	—	2	2	no	—
1005	#121	—	2	2	no	—
1006	#121	D₄×C₁₃	1	1	yes	characteristic
1007	#121	D₄×C₁₃	1	1	yes	characteristic
1008	#121	C₂³×C₁₃	1	2	yes	—
1009	#121	C₂³×C₁₃	1	2	yes	—
1010	#121	C₂³×C₁₃	1	2	yes	—
1011	#121	C₂³×C₁₃	1	2	yes	—
1012	#120	—	2	2	no	—
1013	#120	—	2	2	no	—
1014	#120	—	2	2	no	—
1015	#120	—	2	2	no	—
1016	#120	—	2	2	no	—
1017	#120	D₄×C₁₃	1	2	yes	—
1018	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1019	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1020	C₄×D₄	—	2	2	no	—
1021	C₄×D₄	—	2	2	no	—
1022	C₄×D₄	—	2	2	no	—
1023	C₄×D₄	—	2	2	no	—
1024	C₄×D₄	—	2	2	no	—
1025	C₄×D₄	—	2	2	no	—
1026	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1027	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1028	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1029	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1030	#117	—	2	1	no	—
1031	#117	—	2	1	no	—
1032	#117	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	—	2	1	no	—
1034	C₂×C₄⋊C₄	—	2	1	no	—
1035	C₂×C₄⋊C₄	—	2	1	no	—
1036	C₂×C₄⋊C₄	—	2	2	no	—
1037	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	—	2	1	no	—
1040	C₂×C₂²⋊C₄	—	2	1	no	—
1041	C₂×C₂²⋊C₄	—	2	2	no	—
1042	C₂×C₂²⋊C₄	—	2	2	no	—
1043	#107	C₂³×C₁₃	1	2	yes	—
1044	#107	C₂³×C₁₃	1	2	yes	—
1045	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1046	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1047	#103	C₂³×C₁₃	1	2	yes	—
1048	#103	C₂³×C₁₃	1	2	yes	—
1049	#103	C₂³×C₁₃	1	2	yes	—
1050	#103	C₂³×C₁₃	1	2	yes	—
1051	#103	C₂³×C₁₃	1	2	yes	—
1052	#103	C₂³×C₁₃	1	2	yes	—
1053	#102	C₂³×C₁₃	1	2	yes	—
1054	#102	C₂³×C₁₃	1	2	yes	—
1055	#102	C₂³×C₁₃	1	2	yes	—
1056	#102	C₂³×C₁₃	1	2	yes	—
1057	#102	C₂³×C₁₃	1	2	yes	—
1058	#102	C₂³×C₁₃	1	2	yes	—
1059	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1060	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1061	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1062	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1063	#97	C₂³×C₁₃	1	2	yes	—
1064	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1065	C₂×C₁₃	—	2	2	no	—
1066	C₂×C₁₃	—	4	1	no	—
1067	C₂×C₁₃	—	4	1	no	—
1068	C₂×C₁₃	—	4	2	no	—
1069	C₂×C₁₃	—	4	2	no	—
1070	C₂×C₁₃	—	4	2	no	—
1071	C₂×C₁₃	—	8	1	no	—
1072	C₂×C₁₃	—	8	1	no	—
1073	C₂×C₁₃	—	8	2	no	—
1074	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1075	C₂×C₁₃	#3585	1	1	yes	characteristic
1076	C₂×C₁₃	#3586	1	1	yes	characteristic
1077	C₂⁴	—	2	1	no	—
1078	C₂⁴	—	2	1	no	—
1079	C₂⁴	—	2	2	no	—
1080	C₂⁴	—	2	1	no	—
1081	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	#41	—	2	2	no	—
1083	#41	—	2	2	no	—
1084	#41	—	2	2	no	—
1085	#41	—	2	2	no	—
1086	#41	—	2	4	no	—
1087	#41	—	2	2	no	—
1088	#41	—	2	2	no	—
1089	#41	—	2	4	no	—
1090	#41	—	2	2	no	—
1091	#41	—	2	2	no	—
1092	#41	—	2	2	no	—
1093	#41	—	2	2	no	—
1094	#41	—	2	2	no	—
1095	#41	—	2	2	no	—
1096	#41	—	4	4	no	—
1097	#41	—	4	4	no	—
1098	#41	—	4	1	no	—
1099	#41	—	4	1	no	—
1100	#41	—	4	1	no	—
1101	#41	—	4	1	no	—
1102	#41	—	4	2	no	—
1103	#41	—	4	2	no	—
1104	#41	—	4	4	no	—
1105	#41	—	4	4	no	—
1106	#41	—	4	4	no	—
1107	#41	—	4	4	no	—
1108	#41	—	4	8	no	—
1109	#41	C₂×D₄×C₁₃	1	4	yes	—
1110	#41	C₂×D₄×C₁₃	1	4	yes	complemented
1111	C₂×Q₈	—	2	1	no	—
1112	C₂×Q₈	—	2	1	no	—
1113	C₂×Q₈	—	2	2	no	—
1114	C₂×Q₈	—	2	1	no	—
1115	C₂×Q₈	—	2	4	no	—
1116	C₂×Q₈	—	2	2	no	—
1117	C₂×Q₈	—	2	2	no	—
1118	C₂×Q₈	—	2	2	no	—
1119	C₂×Q₈	—	2	2	no	—
1120	C₂×Q₈	—	4	1	no	—
1121	C₂×Q₈	—	4	1	no	—
1122	C₂×Q₈	—	4	2	no	—
1123	C₂×Q₈	—	4	4	no	—
1124	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1125	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1126	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1127	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1128	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1130	C₂×D₄	—	2	1	no	—
1131	C₂×D₄	—	2	1	no	—
1132	C₂×D₄	—	2	4	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	1	no	—
1138	C₂×D₄	—	2	2	no	—
1139	C₂×D₄	—	2	1	no	—
1140	C₂×D₄	—	2	1	no	—
1141	C₂×D₄	—	2	1	no	—
1142	C₂×D₄	—	2	2	no	—
1143	C₂×D₄	—	2	1	no	—
1144	C₂×D₄	—	2	2	no	—
1145	C₂×D₄	—	2	2	no	—
1146	C₂×D₄	—	2	2	no	—
1147	C₂×D₄	—	2	2	no	—
1148	C₂×D₄	—	2	1	no	—
1149	C₂×D₄	—	2	2	no	—
1150	C₂×D₄	—	2	1	no	—
1151	C₂×D₄	—	2	1	no	—
1152	C₂×D₄	—	2	2	no	—
1153	C₂×D₄	—	2	2	no	—
1154	C₂×D₄	—	2	2	no	—
1155	C₂×D₄	—	4	1	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	2	no	—
1158	C₂×D₄	—	4	4	no	—
1159	C₂×D₄	—	4	8	no	—
1160	C₂×D₄	—	4	4	no	—
1161	C₂×D₄	—	4	4	no	—
1162	C₂×D₄	—	8	4	no	—
1163	C₂×D₄	—	8	2	no	—
1164	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1165	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1166	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1167	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1168	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1169	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1170	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1171	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1172	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1173	C₂²×C₄	—	2	1	no	—
1174	C₂²×C₄	—	2	1	no	—
1175	C₂²×C₄	—	2	2	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	1	no	—
1178	C₂²×C₄	—	2	1	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	1	no	—
1181	C₂²×C₄	—	2	1	no	—
1182	C₂²×C₄	—	2	1	no	—
1183	C₂²×C₄	—	2	1	no	—
1184	C₂²×C₄	—	2	2	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	1	no	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	4	4	no	—
1194	C₂²×C₄	—	4	4	no	—
1195	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1199	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1202	Q₁₆	—	2	4	no	—
1203	Q₁₆	—	2	2	no	—
1204	Q₁₆	—	2	2	no	—
1205	Q₁₆	—	2	2	no	—
1206	Q₁₆	—	4	2	no	—
1207	Q₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
1208	SD₁₆	—	2	4	no	—
1209	SD₁₆	—	2	2	no	—
1210	SD₁₆	—	2	2	no	—
1211	SD₁₆	—	2	4	no	—
1212	SD₁₆	—	2	2	no	—
1213	SD₁₆	—	2	2	no	—
1214	SD₁₆	—	2	4	no	—
1215	SD₁₆	—	2	4	no	—
1216	SD₁₆	—	2	2	no	—
1217	SD₁₆	—	2	2	no	—
1218	SD₁₆	—	4	2	no	—
1219	SD₁₆	—	4	2	no	—
1220	SD₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
1221	SD₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
1222	D₈	—	2	2	no	—
1223	D₈	—	2	2	no	—
1224	D₈	—	2	4	no	—
1225	D₈	—	2	2	no	—
1226	D₈	—	4	2	no	—
1227	D₈	C₂×D₄×C₁₃	1	4	yes	complemented
1228	M₁₆	—	2	2	no	—
1229	M₁₆	—	2	2	no	—
1230	M₁₆	—	2	2	no	—
1231	M₁₆	—	2	2	no	—
1232	M₁₆	—	2	2	no	—
1233	M₁₆	—	2	2	no	—
1234	M₁₆	—	2	4	no	—
1235	C₂×C₈	—	2	2	no	—
1236	C₂×C₈	—	2	4	no	—
1237	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	complemented
1238	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1239	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1240	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1241	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1242	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1243	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1244	C₄⋊C₄	—	2	2	no	—
1245	C₄⋊C₄	—	2	1	no	—
1246	C₄⋊C₄	—	2	1	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	2	2	no	—
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1255	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1256	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1257	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1258	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1259	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
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	2	no	—
1266	C₂²⋊C₄	—	2	2	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	—	2	2	no	—
1270	C₂²⋊C₄	—	2	2	no	—
1271	C₂²⋊C₄	—	2	2	no	—
1272	C₂²⋊C₄	—	2	2	no	—
1273	C₂²⋊C₄	—	2	2	no	—
1274	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1275	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1276	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1277	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1278	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1279	C₄²	—	2	2	no	—
1280	C₄²	—	2	2	no	—
1281	C₄²	C₂⁴×C₁₃	1	2	yes	—
1282	C₁₃	#61062	1	1	yes	characteristic, direct product factor, Sylow
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	2	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	2	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	4	1	no	—
1290	C₂³	—	4	1	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	4	2	no	—
1293	C₂³	—	4	4	no	—
1294	C₂³	—	4	2	no	—
1295	C₂³	—	4	2	no	—
1296	C₂³	—	4	2	no	—
1297	C₂³	—	8	1	no	—
1298	C₂³	—	8	1	no	—
1299	C₂³	—	8	1	no	—
1300	C₂³	—	8	2	no	—
1301	C₂³	—	8	1	no	—
1302	C₂³	—	8	2	no	—
1303	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1304	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1305	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1306	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1307	Q₈	—	2	2	no	—
1308	Q₈	—	2	1	no	—
1309	Q₈	—	2	1	no	—
1310	Q₈	—	2	2	no	—
1311	Q₈	—	2	1	no	—
1312	Q₈	—	2	1	no	—
1313	Q₈	—	2	1	no	—
1314	Q₈	—	2	2	no	—
1315	Q₈	—	2	1	no	—
1316	Q₈	—	4	4	no	—
1317	Q₈	—	4	2	no	—
1318	Q₈	—	4	2	no	—
1319	Q₈	—	4	2	no	—
1320	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1321	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1322	D₄	—	2	4	no	—
1323	D₄	—	2	4	no	—
1324	D₄	—	2	4	no	—
1325	D₄	—	2	2	no	—
1326	D₄	—	2	1	no	—
1327	D₄	—	2	1	no	—
1328	D₄	—	2	2	no	—
1329	D₄	—	2	1	no	—
1330	D₄	—	2	1	no	—
1331	D₄	—	2	1	no	—
1332	D₄	—	2	2	no	—
1333	D₄	—	2	1	no	—
1334	D₄	—	4	2	no	—
1335	D₄	—	4	2	no	—
1336	D₄	—	4	4	no	—
1337	D₄	—	4	2	no	—
1338	D₄	—	4	2	no	—
1339	D₄	—	4	4	no	—
1340	D₄	—	4	2	no	—
1341	D₄	—	4	2	no	—
1342	D₄	—	4	2	no	—
1343	D₄	—	4	2	no	—
1344	D₄	—	4	4	no	—
1345	D₄	—	4	4	no	—
1346	D₄	—	4	2	no	—
1347	D₄	—	4	2	no	—
1348	D₄	—	4	2	no	—
1349	D₄	—	8	2	no	—
1350	D₄	—	8	2	no	—
1351	D₄	—	8	2	no	—
1352	D₄	—	8	2	no	—
1353	D₄	—	8	2	no	—
1354	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1355	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	4	no	—
1362	C₂×C₄	—	2	4	no	—
1363	C₂×C₄	—	2	2	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	2	no	—
1369	C₂×C₄	—	2	2	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	4	2	no	—
1375	C₂×C₄	—	4	2	no	—
1376	C₂×C₄	—	4	4	no	—
1377	C₂×C₄	—	4	2	no	—
1378	C₂×C₄	—	4	2	no	—
1379	C₂×C₄	—	4	2	no	—
1380	C₂×C₄	—	4	2	no	—
1381	C₂×C₄	—	4	4	no	—
1382	C₂×C₄	—	4	4	no	—
1383	C₂×C₄	—	4	2	no	—
1384	C₂×C₄	—	4	2	no	—
1385	C₂×C₄	—	4	2	no	—
1386	C₂×C₄	—	8	2	no	—
1387	C₂×C₄	—	8	2	no	—
1388	C₂×C₄	—	8	1	no	—
1389	C₂×C₄	—	8	1	no	—
1390	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1391	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1392	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1393	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	C₁₃×H(5,𝔽₂)	1	2	yes	—
1398	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1399	C₈	—	2	1	no	—
1400	C₈	—	2	1	no	—
1401	C₈	—	2	2	no	—
1402	C₈	—	2	2	no	—
1403	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1404	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1405	C₂²	—	2	1	no	—
1406	C₂²	—	2	1	no	—
1407	C₂²	—	2	1	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	1	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	1	no	—
1413	C₂²	—	2	1	no	—
1414	C₂²	—	2	1	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	2	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	2	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	2	no	—
1431	C₂²	—	8	2	no	—
1432	C₂²	—	8	4	no	—
1433	C₂²	—	8	4	no	—
1434	C₂²	—	16	2	no	—
1435	C₂²	—	16	4	no	—
1436	C₂²	D₄²×C₁₃	1	2	yes	—
1437	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1438	C₄	—	2	2	no	—
1439	C₄	—	2	2	no	—
1440	C₄	—	2	1	no	—
1441	C₄	—	2	1	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	2	no	—
1444	C₄	—	2	2	no	—
1445	C₄	—	4	2	no	—
1446	C₄	—	4	2	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	2	no	—
1450	C₄	D₄²×C₁₃	1	2	yes	—
1451	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1452	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂	—	2	2	no	—
1454	C₂	—	4	1	no	—
1455	C₂	—	4	1	no	—
1456	C₂	—	4	2	no	—
1457	C₂	—	4	2	no	—
1458	C₂	—	4	2	no	—
1459	C₂	—	8	1	no	—
1460	C₂	—	8	1	no	—
1461	C₂	—	8	2	no	—
1462	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1463	C₂	C₁₃×#3585	1	1	yes	characteristic
1464	C₂	C₁₃×#3586	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×#577	C₂	semidirect
2. C₂×C₁₃×#575	C₂	semidirect
3. C₁₃×#3489	C₂	semidirect
4. C₁₃×#3488	C₂	semidirect
5. C₁₃×#3278	C₂	semidirect
6. C₁₃×#3277	C₂	semidirect
7. C₁₃×#3273	C₂	semidirect
8. C₁₃×#3272	C₂	semidirect
9. C₁₃×#3269	C₂	semidirect
10. C₁₃×#3268	C₂	semidirect
11. C₁₃×#3266	C₂	semidirect
12. C₁₃×#3265	C₂	semidirect
13. C₁₃×#3154	C₂	semidirect
14. C₁₃×#3061	C₂	semidirect
15. C₂×C₁₃×#468	C₂	semidirect
16. C₁₃×#3046	C₂	semidirect
17. C₁₃×#3045	C₂	semidirect
18. C₁₃×#3013	C₂	semidirect
19. C₁₃×#3012	C₂	semidirect
20. C₁₃×#3007	C₂	semidirect
21. C₁₃×#3006	C₂	semidirect
22. C₁₃×#2951	C₂	semidirect
23. C₁₃×#2930	C₂	semidirect
24. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
25. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
27. C₂²×C₁₃×#41	C₂²	semidirect
30. C₂×C₁₃×#137	C₂²	semidirect
31. C₂×C₁₃×#137	C₂²	semidirect
32. C₂×C₁₃×#137	C₂²	semidirect
33. C₂×C₁₃×#137	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂×C₁₃×#137	C₂²	semidirect
36. C₂×C₁₃×#137	C₂²	semidirect
37. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
39. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
40. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
41. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
42. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
43. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
46. C₂×C₁₃×#135	C₂²	semidirect
47. C₂×C₁₃×#135	C₂²	semidirect
48. C₂×C₁₃×#135	C₂²	semidirect
49. C₂²×C₁₃×SD₁₆	C₂²	semidirect
50. C₂²×C₁₃×SD₁₆	C₂²	semidirect
51. C₂×C₁₃×#131	C₂²	semidirect
52. C₂²×C₁₃×M₁₆	C₂²	semidirect
54. D₄×Q₈×C₁₃	C₂²	semidirect
55. C₁₃×#548	C₂²	semidirect
56. C₁₃×#548	C₂²	semidirect
58. C₁₃×#547	C₂²	semidirect
62. C₁₃×#546	C₂²	semidirect
64. D₄²×C₁₃	C₂²	semidirect
67. C₁₃×#537	C₂²	semidirect
68. C₁₃×#537	C₂²	semidirect
70. C₁₃×#536	C₂²	semidirect
72. C₁₃×#535	C₂²	semidirect
77. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
80. C₁₃×#520	C₂²	semidirect
81. C₁₃×#520	C₂²	semidirect
82. C₁₃×#497	C₂²	semidirect
83. C₁₃×#496	C₂²	semidirect
84. C₁₃×#495	C₂²	semidirect
85. C₁₃×#492	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#468	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#468	C₂²	semidirect
91. C₁₃×#468	C₂²	semidirect
92. C₁₃×#467	C₂²	semidirect
93. C₁₃×#466	C₂²	semidirect
94. C₁₃×#464	C₂²	semidirect
95. C₁₃×#464	C₂²	semidirect
96. C₁₃×#463	C₂²	semidirect
97. C₁₃×#463	C₂²	semidirect
98. C₁₃×#462	C₂²	semidirect
99. C₁₃×#461	C₂²	semidirect
100. C₁₃×#460	C₂²	semidirect
101. C₁₃×#459	C₂²	semidirect
102. C₁₃×#452	C₂²	semidirect
103. C₁₃×#452	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#451	C₂²	semidirect
107. C₁₃×#451	C₂²	semidirect
108. C₁₃×#450	C₂²	semidirect
109. C₁₃×#450	C₂²	semidirect
110. C₁₃×#449	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
113. C₁₃×#449	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
115. C₁₃×#448	C₂²	semidirect
116. C₁₃×#447	C₂²	semidirect
117. C₁₃×#447	C₂²	semidirect
118. C₁₃×#440	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×Q₁₆	C₂²	semidirect
121. C₄×C₁₃×D₈	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#436	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
126. C₂×C₁₃×#107	C₂²	semidirect
127. C₁₃×#424	C₂²	semidirect
128. C₁₃×#417	C₂²	semidirect
129. C₁₃×#417	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₁₃×#417	C₂²	semidirect
132. C₂×C₁₃×#103	C₂²	semidirect
133. C₂×C₁₃×#102	C₂²	semidirect
134. C₁₃×#408	C₂²	semidirect
135. C₁₃×#407	C₂²	semidirect
136. C₁₃×#405	C₂²	semidirect
199. C₁₃×#135	D₄	semidirect
345. #61062	C₁₃	direct (N × H)
379. C₁₃×#41	C₂×D₄	semidirect
476. C₁₃×Q₁₆	C₂×D₄	semidirect
489. C₁₃×SD₁₆	C₂×D₄	semidirect
490. C₁₃×SD₁₆	C₂×D₄	semidirect
496. C₁₃×D₈	C₂×D₄	semidirect
506. C₂×C₈×C₁₃	C₂×D₄	semidirect
551. C₂×#577	C₂×C₁₃	semidirect
552. C₂×#575	C₂×C₁₃	semidirect
553. #3489	C₂×C₁₃	semidirect
554. #3488	C₂×C₁₃	semidirect
555. #3278	C₂×C₁₃	semidirect
556. #3277	C₂×C₁₃	semidirect
557. #3273	C₂×C₁₃	semidirect
558. #3272	C₂×C₁₃	semidirect
559. #3269	C₂×C₁₃	semidirect
560. #3268	C₂×C₁₃	semidirect
561. #3266	C₂×C₁₃	semidirect
562. #3265	C₂×C₁₃	semidirect
563. #3154	C₂×C₁₃	semidirect
564. #3061	C₂×C₁₃	semidirect
565. C₂×#468	C₂×C₁₃	semidirect
566. #3046	C₂×C₁₃	semidirect
567. #3045	C₂×C₁₃	semidirect
568. #3013	C₂×C₁₃	semidirect
569. #3012	C₂×C₁₃	semidirect
570. #3007	C₂×C₁₃	semidirect
571. #3006	C₂×C₁₃	semidirect
572. #2951	C₂×C₁₃	semidirect
573. #2930	C₂×C₁₃	semidirect
696. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
697. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
699. C₂²×#41	C₂²×C₁₃	semidirect
702. C₂×#137	C₂²×C₁₃	semidirect
703. C₂×#137	C₂²×C₁₃	semidirect
704. C₂×#137	C₂²×C₁₃	semidirect
705. C₂×#137	C₂²×C₁₃	semidirect
706. C₂×#137	C₂²×C₁₃	semidirect
707. C₂×#137	C₂²×C₁₃	semidirect
708. C₂×#137	C₂²×C₁₃	semidirect
709. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
710. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
711. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
712. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
713. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
714. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
715. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
718. C₂×#135	C₂²×C₁₃	semidirect
719. C₂×#135	C₂²×C₁₃	semidirect
720. C₂×#135	C₂²×C₁₃	semidirect
721. C₂²×SD₁₆	C₂²×C₁₃	semidirect
722. C₂²×SD₁₆	C₂²×C₁₃	semidirect
723. C₂×#131	C₂²×C₁₃	semidirect
724. C₂²×M₁₆	C₂²×C₁₃	semidirect
726. D₄×Q₈	C₂²×C₁₃	semidirect
727. #548	C₂²×C₁₃	semidirect
728. #548	C₂²×C₁₃	semidirect
730. #547	C₂²×C₁₃	semidirect
734. #546	C₂²×C₁₃	semidirect
736. D₄²	C₂²×C₁₃	semidirect
739. #537	C₂²×C₁₃	semidirect
740. #537	C₂²×C₁₃	semidirect
742. #536	C₂²×C₁₃	semidirect
744. #535	C₂²×C₁₃	semidirect
749. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
752. #520	C₂²×C₁₃	semidirect
753. #520	C₂²×C₁₃	semidirect
754. #497	C₂²×C₁₃	semidirect
755. #496	C₂²×C₁₃	semidirect
756. #495	C₂²×C₁₃	semidirect
757. #492	C₂²×C₁₃	semidirect
758. #468	C₂²×C₁₃	semidirect
759. #468	C₂²×C₁₃	semidirect
760. #468	C₂²×C₁₃	semidirect
761. #468	C₂²×C₁₃	semidirect
762. #468	C₂²×C₁₃	semidirect
763. #468	C₂²×C₁₃	semidirect
764. #467	C₂²×C₁₃	semidirect
765. #466	C₂²×C₁₃	semidirect
766. #464	C₂²×C₁₃	semidirect
767. #464	C₂²×C₁₃	semidirect
768. #463	C₂²×C₁₃	semidirect
769. #463	C₂²×C₁₃	semidirect
770. #462	C₂²×C₁₃	semidirect
771. #461	C₂²×C₁₃	semidirect
772. #460	C₂²×C₁₃	semidirect
773. #459	C₂²×C₁₃	semidirect
774. #452	C₂²×C₁₃	semidirect
775. #452	C₂²×C₁₃	semidirect
776. #452	C₂²×C₁₃	semidirect
777. #452	C₂²×C₁₃	semidirect
778. #451	C₂²×C₁₃	semidirect
779. #451	C₂²×C₁₃	semidirect
780. #450	C₂²×C₁₃	semidirect
781. #450	C₂²×C₁₃	semidirect
782. #449	C₂²×C₁₃	semidirect
783. #449	C₂²×C₁₃	semidirect
784. #449	C₂²×C₁₃	semidirect
785. #449	C₂²×C₁₃	semidirect
786. #448	C₂²×C₁₃	semidirect
787. #448	C₂²×C₁₃	semidirect
788. #447	C₂²×C₁₃	semidirect
789. #447	C₂²×C₁₃	semidirect
790. #440	C₂²×C₁₃	semidirect
791. #440	C₂²×C₁₃	semidirect
792. C₄×Q₁₆	C₂²×C₁₃	semidirect
793. C₄×D₈	C₂²×C₁₃	semidirect
794. #436	C₂²×C₁₃	semidirect
795. #436	C₂²×C₁₃	semidirect
796. #435	C₂²×C₁₃	semidirect
797. #435	C₂²×C₁₃	semidirect
798. C₂×#107	C₂²×C₁₃	semidirect
799. #424	C₂²×C₁₃	semidirect
800. #417	C₂²×C₁₃	semidirect
801. #417	C₂²×C₁₃	semidirect
802. #417	C₂²×C₁₃	semidirect
803. #417	C₂²×C₁₃	semidirect
804. C₂×#103	C₂²×C₁₃	semidirect
805. C₂×#102	C₂²×C₁₃	semidirect
806. #408	C₂²×C₁₃	semidirect
807. #407	C₂²×C₁₃	semidirect
808. #405	C₂²×C₁₃	semidirect
919. #135	D₄×C₁₃	semidirect
1110. #41	C₂×D₄×C₁₃	semidirect
1207. Q₁₆	C₂×D₄×C₁₃	semidirect
1220. SD₁₆	C₂×D₄×C₁₃	semidirect
1221. SD₁₆	C₂×D₄×C₁₃	semidirect
1227. D₈	C₂×D₄×C₁₃	semidirect
1237. C₂×C₈	C₂×D₄×C₁₃	semidirect
1282. C₁₃	#61062	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#577	2
C₂×C₁₃×#575	2
C₁₃×#3489	2
C₁₃×#3488	2
C₁₃×#3278	2
C₁₃×#3277	2
C₁₃×#3273	2
C₁₃×#3272	2
C₁₃×#3269	2
C₁₃×#3268	2
C₁₃×#3266	2
C₁₃×#3265	2
C₁₃×#3154	2
C₁₃×#3061	2
C₂×C₁₃×#468	2
C₁₃×#3046	2
C₁₃×#3045	2
C₁₃×#3013	2
C₁₃×#3012	2
C₁₃×#3007	2
C₁₃×#3006	2
C₁₃×#2951	2
C₁₃×#2930	2
#61062	13

Subgroups — C13×#61062 #15747401

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61062 #15747401