Subgroups — C₁₃×#61071 #15747410

Order 3328.

2876 conjugacy classes of subgroups.

The subgroup lattice has 1446 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	C₂²×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
5	D₄×C₁₃×SD₁₆	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3280	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3272	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3154	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3042	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#450	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×C₁₃×2₋¹⁺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, complemented
27	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
28	C₁₃×#577	—	2	8	no	—
29	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
31	C₂×C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
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	2	yes	complemented
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, 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×SD₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	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	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
50	C₁₃×#548	C₂²	1	2	yes	complemented
51	C₁₃×#547	—	2	2	no	—
52	C₁₃×#547	C₂²	1	2	yes	complemented
53	C₁₃×#546	—	2	1	no	—
54	C₁₃×#546	—	2	1	no	—
55	C₁₃×#546	—	2	2	no	—
56	C₁₃×#546	C₂²	1	2	yes	—
57	C₁₃×#546	C₂²	1	2	yes	complemented
58	C₁₃×#546	C₂²	1	2	yes	complemented
59	D₄²×C₁₃	—	2	1	no	—
60	D₄²×C₁₃	—	2	1	no	—
61	D₄²×C₁₃	C₂²	1	2	yes	—
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×#536	—	2	1	no	—
66	C₁₃×#536	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
73	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
74	C₂×C₁₃×C₂²⋊Q₈	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×#497	C₂²	1	2	yes	complemented
79	C₁₃×#496	C₂²	1	2	yes	complemented
80	C₁₃×#495	C₂²	1	2	yes	complemented
81	C₁₃×#492	C₂²	1	2	yes	complemented
82	C₁₃×#470	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×#467	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×#461	C₂²	1	2	yes	complemented
95	C₁₃×#461	C₂²	1	2	yes	complemented
96	C₁₃×#460	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	2	yes	complemented
103	C₁₃×#450	C₂²	1	2	yes	complemented
104	C₁₃×#450	C₂²	1	2	yes	complemented
105	C₁₃×#450	C₂²	1	2	yes	complemented
106	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#450	C₂²	1	2	yes	complemented
108	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#449	C₂²	1	1	yes	characteristic, 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×#448	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#448	C₂²	1	2	yes	complemented
115	C₁₃×#448	C₂²	1	2	yes	complemented
116	C₁₃×#447	C₂²	1	1	yes	characteristic, 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×#419	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	C₁₃×2₋¹⁺⁴	—	2	4	no	—
139	C₁₃×2₋¹⁺⁴	—	4	2	no	—
140	C₁₃×H(5,𝔽₂)	—	2	4	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	2	no	—
145	C₂×C₁₃×#41	—	2	1	no	—
146	C₂×C₁₃×#41	—	2	1	no	—
147	C₂×C₁₃×#41	—	2	4	no	—
148	C₂×C₁₃×#41	—	4	2	no	—
149	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×#41	C₂³	1	2	yes	—
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	complemented
157	C₂²×Q₈×C₁₃	—	2	1	no	—
158	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
160	C₂²×Q₈×C₁₃	C₂³	1	2	yes	complemented
161	C₂²×D₄×C₁₃	—	2	4	no	—
162	C₂²×D₄×C₁₃	—	2	1	no	—
163	C₂²×D₄×C₁₃	—	2	2	no	—
164	C₂²×D₄×C₁₃	—	2	1	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	2	yes	—
173	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
174	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
175	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
176	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
177	C₂³×C₄×C₁₃	—	2	1	no	—
178	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
179	C₁₃×#137	—	2	8	no	—
180	C₁₃×#137	—	2	4	no	—
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	4	no	—
187	C₁₃×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
188	C₁₃×#135	—	2	4	no	—
189	C₁₃×#135	—	2	8	no	—
190	C₁₃×#135	—	4	2	no	—
191	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
192	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
193	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
194	C₂×C₁₃×SD₁₆	—	2	4	no	—
195	C₂×C₁₃×SD₁₆	—	2	8	no	—
196	C₂×C₁₃×SD₁₆	—	2	8	no	—
197	C₂×C₁₃×SD₁₆	—	4	2	no	—
198	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
199	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
200	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
201	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
202	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
203	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
204	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
205	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
206	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
207	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
208	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
209	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
210	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
211	C₂×C₁₃×D₈	—	2	8	no	—
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	1	yes	characteristic, complemented
217	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
218	C₁₃×#131	—	2	4	no	—
219	C₂×C₁₃×M₁₆	—	2	4	no	—
220	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
222	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×M₁₆	C₂³	1	2	yes	complemented
224	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
227	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
228	C₁₃×C₄⋊Q₈	—	2	2	no	—
229	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
230	C₁₃×#127	—	2	1	no	—
231	C₁₃×#127	C₂³	1	2	yes	—
232	C₁₃×#124	—	2	1	no	—
233	C₁₃×#124	—	2	2	no	—
234	C₁₃×#124	C₂³	1	2	yes	—
235	C₁₃×#124	C₂³	1	2	yes	complemented
236	C₁₃×#123	—	2	1	no	—
237	C₁₃×#123	—	2	2	no	—
238	C₁₃×#123	—	2	2	no	—
239	C₁₃×#123	—	2	2	no	—
240	C₁₃×#123	—	2	2	no	—
241	C₁₃×#123	—	2	2	no	—
242	C₁₃×#123	—	2	2	no	—
243	C₁₃×#123	D₄	1	2	yes	—
244	C₁₃×C₂²⋊Q₈	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	—	2	1	no	—
247	C₁₃×C₂²⋊Q₈	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	—	2	2	no	—
249	C₁₃×C₂²⋊Q₈	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	—	2	2	no	—
251	C₁₃×C₂²⋊Q₈	—	2	2	no	—
252	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
253	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
254	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
259	C₁₃×#121	—	2	1	no	—
260	C₁₃×#121	—	2	2	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	1	no	—
266	C₁₃×#121	—	2	1	no	—
267	C₁₃×#121	—	2	2	no	—
268	C₁₃×#121	—	2	2	no	—
269	C₁₃×#121	—	2	2	no	—
270	C₁₃×#121	D₄	1	1	yes	characteristic
271	C₁₃×#121	D₄	1	1	yes	characteristic
272	C₁₃×#121	C₂³	1	1	yes	characteristic
273	C₁₃×#121	C₂³	1	2	yes	—
274	C₁₃×#121	C₂³	1	2	yes	—
275	C₁₃×#121	C₂³	1	1	yes	characteristic
276	C₁₃×#121	C₂³	1	2	yes	complemented
277	C₁₃×#120	—	2	1	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	D₄	1	2	yes	—
288	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
289	C₄×D₄×C₁₃	—	2	2	no	—
290	C₄×D₄×C₁₃	—	2	1	no	—
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	2	no	—
295	C₄×D₄×C₁₃	—	2	2	no	—
296	C₄×D₄×C₁₃	C₂³	1	2	yes	—
297	C₄×D₄×C₁₃	C₂³	1	2	yes	—
298	C₄×D₄×C₁₃	C₂³	1	2	yes	—
299	C₄×D₄×C₁₃	C₂³	1	2	yes	—
300	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
301	C₁₃×#117	—	2	1	no	—
302	C₁₃×#117	C₂³	1	1	yes	characteristic
303	C₁₃×#117	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
306	C₂×C₁₃×C₄⋊C₄	—	2	2	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×#103	C₂³	1	2	yes	complemented
323	C₁₃×#103	C₂³	1	2	yes	complemented
324	C₁₃×#102	C₂³	1	2	yes	—
325	C₁₃×#102	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
329	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
330	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
331	C₁₃×#102	C₂³	1	1	yes	characteristic, 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	#61071	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
342	C₂⁴×C₁₃	—	2	1	no	—
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	2	no	—
345	C₂⁴×C₁₃	—	2	2	no	—
346	C₂⁴×C₁₃	—	2	1	no	—
347	C₂⁴×C₁₃	—	2	2	no	—
348	C₂⁴×C₁₃	—	4	4	no	—
349	C₂⁴×C₁₃	—	8	2	no	—
350	C₂⁴×C₁₃	—	8	2	no	—
351	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₁₃×#41	—	2	2	no	—
353	C₁₃×#41	—	2	2	no	—
354	C₁₃×#41	—	2	2	no	—
355	C₁₃×#41	—	2	2	no	—
356	C₁₃×#41	—	2	4	no	—
357	C₁₃×#41	—	2	4	no	—
358	C₁₃×#41	—	2	2	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	—	4	4	no	—
364	C₁₃×#41	—	4	1	no	—
365	C₁₃×#41	—	4	1	no	—
366	C₁₃×#41	—	4	2	no	—
367	C₁₃×#41	—	4	2	no	—
368	C₁₃×#41	—	4	4	no	—
369	C₁₃×#41	—	4	4	no	—
370	C₁₃×#41	—	4	8	no	—
371	C₁₃×#41	—	4	4	no	—
372	C₁₃×#41	C₂×D₄	1	4	yes	complemented
373	C₂×Q₈×C₁₃	—	2	1	no	—
374	C₂×Q₈×C₁₃	—	2	2	no	—
375	C₂×Q₈×C₁₃	—	2	1	no	—
376	C₂×Q₈×C₁₃	—	2	2	no	—
377	C₂×Q₈×C₁₃	—	2	4	no	—
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	2	2	no	—
380	C₂×Q₈×C₁₃	—	4	1	no	—
381	C₂×Q₈×C₁₃	—	4	2	no	—
382	C₂×Q₈×C₁₃	—	4	4	no	—
383	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
384	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
386	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×D₄×C₁₃	—	2	1	no	—
389	C₂×D₄×C₁₃	—	2	2	no	—
390	C₂×D₄×C₁₃	—	2	4	no	—
391	C₂×D₄×C₁₃	—	2	4	no	—
392	C₂×D₄×C₁₃	—	2	4	no	—
393	C₂×D₄×C₁₃	—	2	1	no	—
394	C₂×D₄×C₁₃	—	2	1	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	1	no	—
399	C₂×D₄×C₁₃	—	2	1	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	2	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	2	no	—
413	C₂×D₄×C₁₃	—	2	2	no	—
414	C₂×D₄×C₁₃	—	2	2	no	—
415	C₂×D₄×C₁₃	—	4	2	no	—
416	C₂×D₄×C₁₃	—	4	2	no	—
417	C₂×D₄×C₁₃	—	4	1	no	—
418	C₂×D₄×C₁₃	—	4	2	no	—
419	C₂×D₄×C₁₃	—	4	4	no	—
420	C₂×D₄×C₁₃	—	4	4	no	—
421	C₂×D₄×C₁₃	—	4	4	no	—
422	C₂×D₄×C₁₃	—	4	4	no	—
423	C₂×D₄×C₁₃	—	4	4	no	—
424	C₂×D₄×C₁₃	—	4	8	no	—
425	C₂×D₄×C₁₃	—	8	4	no	—
426	C₂×D₄×C₁₃	—	8	4	no	—
427	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
428	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
429	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
430	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
431	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
432	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
433	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
434	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
436	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₁₃	—	2	1	no	—
438	C₂²×C₄×C₁₃	—	2	2	no	—
439	C₂²×C₄×C₁₃	—	2	2	no	—
440	C₂²×C₄×C₁₃	—	2	1	no	—
441	C₂²×C₄×C₁₃	—	2	2	no	—
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	1	no	—
449	C₂²×C₄×C₁₃	—	2	1	no	—
450	C₂²×C₄×C₁₃	—	2	2	no	—
451	C₂²×C₄×C₁₃	—	2	2	no	—
452	C₂²×C₄×C₁₃	—	2	2	no	—
453	C₂²×C₄×C₁₃	—	4	4	no	—
454	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
455	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
456	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
457	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
460	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
461	C₁₃×Q₁₆	—	2	2	no	—
462	C₁₃×Q₁₆	—	2	4	no	—
463	C₁₃×Q₁₆	—	4	1	no	—
464	C₁₃×SD₁₆	—	2	2	no	—
465	C₁₃×SD₁₆	—	2	4	no	—
466	C₁₃×SD₁₆	—	2	4	no	—
467	C₁₃×SD₁₆	—	2	4	no	—
468	C₁₃×SD₁₆	—	2	4	no	—
469	C₁₃×SD₁₆	—	2	2	no	—
470	C₁₃×SD₁₆	—	2	4	no	—
471	C₁₃×SD₁₆	—	2	4	no	—
472	C₁₃×SD₁₆	—	4	2	no	—
473	C₁₃×SD₁₆	—	4	2	no	—
474	C₁₃×SD₁₆	—	4	1	no	—
475	C₁₃×SD₁₆	—	4	1	no	—
476	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
477	C₁₃×D₈	—	2	4	no	—
478	C₁₃×D₈	—	2	4	no	—
479	C₁₃×D₈	—	2	2	no	—
480	C₁₃×D₈	—	2	4	no	—
481	C₁₃×D₈	—	4	1	no	—
482	C₁₃×D₈	C₂×D₄	1	8	yes	complemented
483	C₁₃×M₁₆	—	2	2	no	—
484	C₁₃×M₁₆	—	2	4	no	—
485	C₁₃×M₁₆	—	2	4	no	—
486	C₁₃×M₁₆	C₂×D₄	1	4	yes	complemented
487	C₂×C₈×C₁₃	—	2	2	no	—
488	C₂×C₈×C₁₃	—	2	2	no	—
489	C₂×C₈×C₁₃	—	2	4	no	—
490	C₂×C₈×C₁₃	—	2	4	no	—
491	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
496	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
497	C₁₃×C₄⋊C₄	—	2	2	no	—
498	C₁₃×C₄⋊C₄	—	2	1	no	—
499	C₁₃×C₄⋊C₄	—	2	2	no	—
500	C₁₃×C₄⋊C₄	—	2	2	no	—
501	C₁₃×C₄⋊C₄	—	2	2	no	—
502	C₁₃×C₄⋊C₄	—	2	2	no	—
503	C₁₃×C₄⋊C₄	—	2	1	no	—
504	C₁₃×C₄⋊C₄	—	2	1	no	—
505	C₁₃×C₄⋊C₄	—	2	2	no	—
506	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
507	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
508	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
509	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
510	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
511	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
512	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
513	C₁₃×C₂²⋊C₄	—	2	1	no	—
514	C₁₃×C₂²⋊C₄	—	2	1	no	—
515	C₁₃×C₂²⋊C₄	—	2	1	no	—
516	C₁₃×C₂²⋊C₄	—	2	2	no	—
517	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
529	C₁₃×C₂²⋊C₄	—	2	1	no	—
530	C₁₃×C₂²⋊C₄	—	2	2	no	—
531	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
532	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
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	C₄²×C₁₃	—	2	2	no	—
537	C₄²×C₁₃	—	2	1	no	—
538	C₄²×C₁₃	C₂⁴	1	2	yes	—
539	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
540	C₂²×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
541	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
542	#3484	C₂×C₁₃	1	1	yes	characteristic, complemented
543	D₄×SD₁₆	C₂×C₁₃	1	2	yes	complemented
544	#3280	C₂×C₁₃	1	2	yes	complemented
545	#3275	C₂×C₁₃	1	2	yes	complemented
546	#3272	C₂×C₁₃	1	2	yes	complemented
547	#3267	C₂×C₁₃	1	2	yes	complemented
548	#3266	C₂×C₁₃	1	2	yes	complemented
549	#3265	C₂×C₁₃	1	2	yes	complemented
550	#3264	C₂×C₁₃	1	2	yes	complemented
551	#3154	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3042	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
559	C₂×#450	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
561	#2933	C₂×C₁₃	1	1	yes	characteristic, complemented
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	2	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	2	no	—
566	C₂³×C₁₃	—	2	4	no	—
567	C₂³×C₁₃	—	2	1	no	—
568	C₂³×C₁₃	—	2	2	no	—
569	C₂³×C₁₃	—	2	1	no	—
570	C₂³×C₁₃	—	4	1	no	—
571	C₂³×C₁₃	—	4	2	no	—
572	C₂³×C₁₃	—	4	4	no	—
573	C₂³×C₁₃	—	4	4	no	—
574	C₂³×C₁₃	—	4	4	no	—
575	C₂³×C₁₃	—	4	4	no	—
576	C₂³×C₁₃	—	4	2	no	—
577	C₂³×C₁₃	—	4	4	no	—
578	C₂³×C₁₃	—	4	2	no	—
579	C₂³×C₁₃	—	8	1	no	—
580	C₂³×C₁₃	—	8	1	no	—
581	C₂³×C₁₃	—	8	1	no	—
582	C₂³×C₁₃	—	8	2	no	—
583	C₂³×C₁₃	—	8	1	no	—
584	C₂³×C₁₃	—	8	1	no	—
585	C₂³×C₁₃	—	8	2	no	—
586	C₂³×C₁₃	—	8	2	no	—
587	C₂³×C₁₃	—	8	2	no	—
588	C₂³×C₁₃	—	8	16	no	—
589	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
590	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
591	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
592	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
593	Q₈×C₁₃	—	2	2	no	—
594	Q₈×C₁₃	—	2	1	no	—
595	Q₈×C₁₃	—	2	1	no	—
596	Q₈×C₁₃	—	2	2	no	—
597	Q₈×C₁₃	—	2	1	no	—
598	Q₈×C₁₃	—	2	2	no	—
599	Q₈×C₁₃	—	2	1	no	—
600	Q₈×C₁₃	—	2	1	no	—
601	Q₈×C₁₃	—	4	4	no	—
602	Q₈×C₁₃	—	4	2	no	—
603	Q₈×C₁₃	—	4	2	no	—
604	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
605	D₄×C₁₃	—	2	4	no	—
606	D₄×C₁₃	—	2	4	no	—
607	D₄×C₁₃	—	2	4	no	—
608	D₄×C₁₃	—	2	4	no	—
609	D₄×C₁₃	—	2	2	no	—
610	D₄×C₁₃	—	2	1	no	—
611	D₄×C₁₃	—	2	2	no	—
612	D₄×C₁₃	—	2	1	no	—
613	D₄×C₁₃	—	2	2	no	—
614	D₄×C₁₃	—	2	1	no	—
615	D₄×C₁₃	—	2	1	no	—
616	D₄×C₁₃	—	2	1	no	—
617	D₄×C₁₃	—	2	2	no	—
618	D₄×C₁₃	—	4	2	no	—
619	D₄×C₁₃	—	4	4	no	—
620	D₄×C₁₃	—	4	4	no	—
621	D₄×C₁₃	—	4	4	no	—
622	D₄×C₁₃	—	4	2	no	—
623	D₄×C₁₃	—	4	2	no	—
624	D₄×C₁₃	—	4	4	no	—
625	D₄×C₁₃	—	4	2	no	—
626	D₄×C₁₃	—	4	4	no	—
627	D₄×C₁₃	—	4	2	no	—
628	D₄×C₁₃	—	4	2	no	—
629	D₄×C₁₃	—	4	2	no	—
630	D₄×C₁₃	—	4	2	no	—
631	D₄×C₁₃	—	4	2	no	—
632	D₄×C₁₃	—	8	2	no	—
633	D₄×C₁₃	—	8	2	no	—
634	D₄×C₁₃	—	8	2	no	—
635	D₄×C₁₃	—	8	2	no	—
636	D₄×C₁₃	—	8	2	no	—
637	D₄×C₁₃	C₂²×D₄	1	2	yes	—
638	D₄×C₁₃	C₂²×D₄	1	4	yes	—
639	C₂×C₄×C₁₃	—	2	2	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	2	no	—
642	C₂×C₄×C₁₃	—	2	2	no	—
643	C₂×C₄×C₁₃	—	2	4	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	2	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	2	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
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	1	no	—
656	C₂×C₄×C₁₃	—	4	2	no	—
657	C₂×C₄×C₁₃	—	4	2	no	—
658	C₂×C₄×C₁₃	—	4	2	no	—
659	C₂×C₄×C₁₃	—	4	4	no	—
660	C₂×C₄×C₁₃	—	4	4	no	—
661	C₂×C₄×C₁₃	—	4	4	no	—
662	C₂×C₄×C₁₃	—	4	2	no	—
663	C₂×C₄×C₁₃	—	4	2	no	—
664	C₂×C₄×C₁₃	—	4	2	no	—
665	C₂×C₄×C₁₃	—	8	2	no	—
666	C₂×C₄×C₁₃	—	8	2	no	—
667	C₂×C₄×C₁₃	—	8	2	no	—
668	C₂×C₄×C₁₃	—	8	1	no	—
669	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
670	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
671	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
672	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
673	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
674	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
675	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
676	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
677	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
678	C₈×C₁₃	—	2	1	no	—
679	C₈×C₁₃	—	2	2	no	—
680	C₈×C₁₃	—	2	1	no	—
681	C₈×C₁₃	—	2	1	no	—
682	C₈×C₁₃	—	2	1	no	—
683	C₈×C₁₃	C₂²×D₄	1	4	yes	—
684	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
688	#577	—	2	8	no	—
689	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
691	C₂×AGL(1,ℤ/8)	—	2	8	no	—
692	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
693	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
694	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
696	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
698	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
699	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
702	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
704	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
705	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
706	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
707	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
709	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
710	#548	C₂²×C₁₃	1	2	yes	complemented
711	#547	—	2	2	no	—
712	#547	C₂²×C₁₃	1	2	yes	complemented
713	#546	—	2	1	no	—
714	#546	—	2	1	no	—
715	#546	—	2	2	no	—
716	#546	C₂²×C₁₃	1	2	yes	—
717	#546	C₂²×C₁₃	1	2	yes	complemented
718	#546	C₂²×C₁₃	1	2	yes	complemented
719	D₄²	—	2	1	no	—
720	D₄²	—	2	1	no	—
721	D₄²	C₂²×C₁₃	1	2	yes	—
722	D₄²	C₂²×C₁₃	1	2	yes	complemented
723	#537	—	2	1	no	—
724	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#536	—	2	1	no	—
726	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
729	#534	—	2	2	no	—
730	#525	—	2	1	no	—
731	#525	C₂²×C₁₃	1	1	yes	characteristic
732	#525	C₂²×C₁₃	1	1	yes	characteristic
733	C₂×C₂²⋊Q₈	—	2	1	no	—
734	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
735	C₂×#120	—	2	2	no	—
736	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#497	C₂²×C₁₃	1	2	yes	complemented
739	#496	C₂²×C₁₃	1	2	yes	complemented
740	#495	C₂²×C₁₃	1	2	yes	complemented
741	#492	C₂²×C₁₃	1	2	yes	complemented
742	#470	C₂²×C₁₃	1	2	yes	complemented
743	#469	C₂²×C₁₃	1	2	yes	complemented
744	#468	C₂²×C₁₃	1	2	yes	complemented
745	#468	C₂²×C₁₃	1	2	yes	complemented
746	#467	C₂²×C₁₃	1	2	yes	complemented
747	#466	C₂²×C₁₃	1	2	yes	complemented
748	#465	C₂²×C₁₃	1	2	yes	complemented
749	#465	C₂²×C₁₃	1	2	yes	complemented
750	#464	C₂²×C₁₃	1	2	yes	complemented
751	#463	C₂²×C₁₃	1	2	yes	complemented
752	#463	C₂²×C₁₃	1	2	yes	complemented
753	#463	C₂²×C₁₃	1	2	yes	complemented
754	#461	C₂²×C₁₃	1	2	yes	complemented
755	#461	C₂²×C₁₃	1	2	yes	complemented
756	#460	C₂²×C₁₃	1	2	yes	complemented
757	#459	C₂²×C₁₃	1	2	yes	complemented
758	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	#452	C₂²×C₁₃	1	2	yes	complemented
761	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
762	#450	C₂²×C₁₃	1	2	yes	complemented
763	#450	C₂²×C₁₃	1	2	yes	complemented
764	#450	C₂²×C₁₃	1	2	yes	complemented
765	#450	C₂²×C₁₃	1	2	yes	complemented
766	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
767	#450	C₂²×C₁₃	1	2	yes	complemented
768	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
770	#449	C₂²×C₁₃	1	2	yes	complemented
771	#449	C₂²×C₁₃	1	2	yes	complemented
772	#449	C₂²×C₁₃	1	2	yes	complemented
773	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	#448	C₂²×C₁₃	1	2	yes	complemented
775	#448	C₂²×C₁₃	1	2	yes	complemented
776	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
777	#447	C₂²×C₁₃	1	2	yes	complemented
778	#442	C₂²×C₁₃	1	2	yes	complemented
779	#440	C₂²×C₁₃	1	2	yes	complemented
780	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
781	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
782	#436	C₂²×C₁₃	1	2	yes	complemented
783	#435	C₂²×C₁₃	1	2	yes	complemented
784	#435	C₂²×C₁₃	1	2	yes	complemented
785	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
786	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
789	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
790	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
793	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
795	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
797	C₂²×C₁₃	—	2	1	no	—
798	C₂²×C₁₃	—	2	1	no	—
799	C₂²×C₁₃	—	2	1	no	—
800	C₂²×C₁₃	—	2	1	no	—
801	C₂²×C₁₃	—	2	1	no	—
802	C₂²×C₁₃	—	2	2	no	—
803	C₂²×C₁₃	—	2	1	no	—
804	C₂²×C₁₃	—	2	2	no	—
805	C₂²×C₁₃	—	2	2	no	—
806	C₂²×C₁₃	—	2	4	no	—
807	C₂²×C₁₃	—	2	2	no	—
808	C₂²×C₁₃	—	2	1	no	—
809	C₂²×C₁₃	—	4	4	no	—
810	C₂²×C₁₃	—	4	1	no	—
811	C₂²×C₁₃	—	4	2	no	—
812	C₂²×C₁₃	—	4	2	no	—
813	C₂²×C₁₃	—	4	1	no	—
814	C₂²×C₁₃	—	4	1	no	—
815	C₂²×C₁₃	—	4	2	no	—
816	C₂²×C₁₃	—	4	1	no	—
817	C₂²×C₁₃	—	4	1	no	—
818	C₂²×C₁₃	—	4	1	no	—
819	C₂²×C₁₃	—	4	2	no	—
820	C₂²×C₁₃	—	4	1	no	—
821	C₂²×C₁₃	—	4	2	no	—
822	C₂²×C₁₃	—	4	1	no	—
823	C₂²×C₁₃	—	8	4	no	—
824	C₂²×C₁₃	—	8	4	no	—
825	C₂²×C₁₃	—	8	8	no	—
826	C₂²×C₁₃	—	8	4	no	—
827	C₂²×C₁₃	—	8	8	no	—
828	C₂²×C₁₃	—	16	4	no	—
829	C₂²×C₁₃	D₄²	1	2	yes	—
830	C₂²×C₁₃	#577	1	2	yes	complemented
831	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
832	C₄×C₁₃	—	2	2	no	—
833	C₄×C₁₃	—	2	1	no	—
834	C₄×C₁₃	—	2	1	no	—
835	C₄×C₁₃	—	2	2	no	—
836	C₄×C₁₃	—	2	2	no	—
837	C₄×C₁₃	—	2	2	no	—
838	C₄×C₁₃	—	4	1	no	—
839	C₄×C₁₃	—	4	2	no	—
840	C₄×C₁₃	—	4	1	no	—
841	C₄×C₁₃	—	4	1	no	—
842	C₄×C₁₃	—	4	2	no	—
843	C₄×C₁₃	—	4	1	no	—
844	C₄×C₁₃	D₄²	1	2	yes	—
845	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
846	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
847	C₂⁵	—	2	1	no	—
848	2₋¹⁺⁴	—	2	4	no	—
849	2₋¹⁺⁴	—	4	2	no	—
850	H(5,𝔽₂)	—	2	4	no	—
851	H(5,𝔽₂)	—	4	2	no	—
852	C₂×#41	—	2	1	no	—
853	C₂×#41	—	2	1	no	—
854	C₂×#41	—	2	2	no	—
855	C₂×#41	—	2	1	no	—
856	C₂×#41	—	2	1	no	—
857	C₂×#41	—	2	4	no	—
858	C₂×#41	—	4	2	no	—
859	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
860	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
861	C₂×#41	C₂³×C₁₃	1	2	yes	—
862	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
863	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
864	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
865	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
866	C₂×#41	C₂³×C₁₃	1	2	yes	complemented
867	C₂²×Q₈	—	2	1	no	—
868	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
869	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
870	C₂²×Q₈	C₂³×C₁₃	1	2	yes	complemented
871	C₂²×D₄	—	2	4	no	—
872	C₂²×D₄	—	2	1	no	—
873	C₂²×D₄	—	2	2	no	—
874	C₂²×D₄	—	2	1	no	—
875	C₂²×D₄	—	2	2	no	—
876	C₂²×D₄	—	2	2	no	—
877	C₂²×D₄	—	2	1	no	—
878	C₂²×D₄	—	2	1	no	—
879	C₂²×D₄	—	2	1	no	—
880	C₂²×D₄	—	4	2	no	—
881	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
883	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
884	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
885	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
886	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
887	C₂³×C₄	—	2	1	no	—
888	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
889	#137	—	2	8	no	—
890	#137	—	2	4	no	—
891	AGL(1,ℤ/8)	—	2	4	no	—
892	AGL(1,ℤ/8)	—	2	4	no	—
893	AGL(1,ℤ/8)	—	2	8	no	—
894	AGL(1,ℤ/8)	—	2	8	no	—
895	AGL(1,ℤ/8)	—	2	8	no	—
896	AGL(1,ℤ/8)	—	2	4	no	—
897	AGL(1,ℤ/8)	D₄×C₁₃	1	8	yes	complemented
898	#135	—	2	4	no	—
899	#135	—	2	8	no	—
900	#135	—	4	2	no	—
901	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
902	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
903	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
904	C₂×SD₁₆	—	2	4	no	—
905	C₂×SD₁₆	—	2	8	no	—
906	C₂×SD₁₆	—	2	8	no	—
907	C₂×SD₁₆	—	4	2	no	—
908	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
909	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
910	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
911	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
912	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
913	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
914	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
915	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
916	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
917	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
918	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
919	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
920	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
921	C₂×D₈	—	2	8	no	—
922	C₂×D₈	C₂³×C₁₃	1	2	yes	—
923	C₂×D₈	C₂³×C₁₃	1	2	yes	—
924	C₂×D₈	C₂³×C₁₃	1	2	yes	—
925	C₂×D₈	C₂³×C₁₃	1	2	yes	—
926	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
927	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
928	#131	—	2	4	no	—
929	C₂×M₁₆	—	2	4	no	—
930	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
931	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
932	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
933	C₂×M₁₆	C₂³×C₁₃	1	2	yes	complemented
934	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
935	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
936	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
937	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
938	C₄⋊Q₈	—	2	2	no	—
939	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
940	#127	—	2	1	no	—
941	#127	C₂³×C₁₃	1	2	yes	—
942	#124	—	2	1	no	—
943	#124	—	2	2	no	—
944	#124	C₂³×C₁₃	1	2	yes	—
945	#124	C₂³×C₁₃	1	2	yes	complemented
946	#123	—	2	1	no	—
947	#123	—	2	2	no	—
948	#123	—	2	2	no	—
949	#123	—	2	2	no	—
950	#123	—	2	2	no	—
951	#123	—	2	2	no	—
952	#123	—	2	2	no	—
953	#123	D₄×C₁₃	1	2	yes	—
954	C₂²⋊Q₈	—	2	1	no	—
955	C₂²⋊Q₈	—	2	1	no	—
956	C₂²⋊Q₈	—	2	1	no	—
957	C₂²⋊Q₈	—	2	1	no	—
958	C₂²⋊Q₈	—	2	2	no	—
959	C₂²⋊Q₈	—	2	1	no	—
960	C₂²⋊Q₈	—	2	2	no	—
961	C₂²⋊Q₈	—	2	2	no	—
962	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
963	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
964	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
965	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
966	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
967	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
968	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
969	#121	—	2	1	no	—
970	#121	—	2	2	no	—
971	#121	—	2	2	no	—
972	#121	—	2	2	no	—
973	#121	—	2	2	no	—
974	#121	—	2	2	no	—
975	#121	—	2	1	no	—
976	#121	—	2	1	no	—
977	#121	—	2	2	no	—
978	#121	—	2	2	no	—
979	#121	—	2	2	no	—
980	#121	D₄×C₁₃	1	1	yes	characteristic
981	#121	D₄×C₁₃	1	1	yes	characteristic
982	#121	C₂³×C₁₃	1	1	yes	characteristic
983	#121	C₂³×C₁₃	1	1	yes	characteristic
984	#121	C₂³×C₁₃	1	2	yes	—
985	#121	C₂³×C₁₃	1	2	yes	—
986	#121	C₂³×C₁₃	1	2	yes	complemented
987	#120	—	2	1	no	—
988	#120	—	2	2	no	—
989	#120	—	2	2	no	—
990	#120	—	2	2	no	—
991	#120	—	2	2	no	—
992	#120	—	2	2	no	—
993	#120	—	2	2	no	—
994	#120	—	2	2	no	—
995	#120	—	2	2	no	—
996	#120	—	2	2	no	—
997	#120	D₄×C₁₃	1	2	yes	—
998	C₄×Q₈	C₂³×C₁₃	1	2	yes	complemented
999	C₄×D₄	—	2	2	no	—
1000	C₄×D₄	—	2	1	no	—
1001	C₄×D₄	—	2	1	no	—
1002	C₄×D₄	—	2	1	no	—
1003	C₄×D₄	—	2	1	no	—
1004	C₄×D₄	—	2	2	no	—
1005	C₄×D₄	—	2	2	no	—
1006	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1007	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1008	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1009	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1010	C₄×D₄	C₂³×C₁₃	1	2	yes	complemented
1011	#117	—	2	1	no	—
1012	#117	C₂³×C₁₃	1	1	yes	characteristic
1013	#117	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	—	2	1	no	—
1015	C₂×C₄⋊C₄	—	2	1	no	—
1016	C₂×C₄⋊C₄	—	2	2	no	—
1017	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	—	2	1	no	—
1019	C₂×C₂²⋊C₄	—	2	2	no	—
1020	C₂×C₂²⋊C₄	—	2	2	no	—
1021	C₂×C₂²⋊C₄	—	2	2	no	—
1022	C₂×C₂²⋊C₄	—	2	2	no	—
1023	#107	C₂³×C₁₃	1	2	yes	complemented
1024	#106	C₂³×C₁₃	1	2	yes	complemented
1025	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1026	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1027	#103	C₂³×C₁₃	1	1	yes	characteristic, complemented
1028	#103	C₂³×C₁₃	1	1	yes	characteristic, complemented
1029	#103	C₂³×C₁₃	1	1	yes	characteristic, complemented
1030	#103	C₂³×C₁₃	1	1	yes	characteristic, complemented
1031	#103	C₂³×C₁₃	1	2	yes	complemented
1032	#103	C₂³×C₁₃	1	2	yes	complemented
1033	#103	C₂³×C₁₃	1	2	yes	complemented
1034	#102	C₂³×C₁₃	1	2	yes	—
1035	#102	C₂³×C₁₃	1	2	yes	—
1036	#102	C₂³×C₁₃	1	2	yes	—
1037	#102	C₂³×C₁₃	1	2	yes	—
1038	#102	C₂³×C₁₃	1	1	yes	characteristic, complemented
1039	#102	C₂³×C₁₃	1	1	yes	characteristic, complemented
1040	#102	C₂³×C₁₃	1	1	yes	characteristic, complemented
1041	#102	C₂³×C₁₃	1	1	yes	characteristic, complemented
1042	#102	C₂³×C₁₃	1	2	yes	complemented
1043	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1048	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1049	#97	C₂³×C₁₃	1	2	yes	complemented
1050	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
1051	C₂×C₁₃	—	2	2	no	—
1052	C₂×C₁₃	—	2	2	no	—
1053	C₂×C₁₃	—	4	1	no	—
1054	C₂×C₁₃	—	4	2	no	—
1055	C₂×C₁₃	—	4	2	no	—
1056	C₂×C₁₃	—	4	4	no	—
1057	C₂×C₁₃	—	8	1	no	—
1058	C₂×C₁₃	—	8	2	no	—
1059	C₂×C₁₃	—	8	1	no	—
1060	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1061	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1062	C₂×C₁₃	#3585	1	1	yes	characteristic
1063	C₂⁴	—	2	1	no	—
1064	C₂⁴	—	2	1	no	—
1065	C₂⁴	—	2	2	no	—
1066	C₂⁴	—	2	2	no	—
1067	C₂⁴	—	2	1	no	—
1068	C₂⁴	—	2	2	no	—
1069	C₂⁴	—	4	4	no	—
1070	C₂⁴	—	8	2	no	—
1071	C₂⁴	—	8	2	no	—
1072	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1073	#41	—	2	2	no	—
1074	#41	—	2	2	no	—
1075	#41	—	2	2	no	—
1076	#41	—	2	2	no	—
1077	#41	—	2	4	no	—
1078	#41	—	2	4	no	—
1079	#41	—	2	2	no	—
1080	#41	—	2	2	no	—
1081	#41	—	2	2	no	—
1082	#41	—	2	2	no	—
1083	#41	—	2	2	no	—
1084	#41	—	4	4	no	—
1085	#41	—	4	1	no	—
1086	#41	—	4	1	no	—
1087	#41	—	4	2	no	—
1088	#41	—	4	2	no	—
1089	#41	—	4	4	no	—
1090	#41	—	4	4	no	—
1091	#41	—	4	8	no	—
1092	#41	—	4	4	no	—
1093	#41	C₂×D₄×C₁₃	1	4	yes	complemented
1094	C₂×Q₈	—	2	1	no	—
1095	C₂×Q₈	—	2	2	no	—
1096	C₂×Q₈	—	2	1	no	—
1097	C₂×Q₈	—	2	2	no	—
1098	C₂×Q₈	—	2	4	no	—
1099	C₂×Q₈	—	2	2	no	—
1100	C₂×Q₈	—	2	2	no	—
1101	C₂×Q₈	—	4	1	no	—
1102	C₂×Q₈	—	4	2	no	—
1103	C₂×Q₈	—	4	4	no	—
1104	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1105	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1106	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1107	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1108	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1109	C₂×D₄	—	2	1	no	—
1110	C₂×D₄	—	2	2	no	—
1111	C₂×D₄	—	2	4	no	—
1112	C₂×D₄	—	2	4	no	—
1113	C₂×D₄	—	2	4	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	2	1	no	—
1116	C₂×D₄	—	2	1	no	—
1117	C₂×D₄	—	2	2	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	2	1	no	—
1121	C₂×D₄	—	2	1	no	—
1122	C₂×D₄	—	2	2	no	—
1123	C₂×D₄	—	2	2	no	—
1124	C₂×D₄	—	2	2	no	—
1125	C₂×D₄	—	2	1	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	2	2	no	—
1128	C₂×D₄	—	2	2	no	—
1129	C₂×D₄	—	2	2	no	—
1130	C₂×D₄	—	2	1	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	—	4	2	no	—
1137	C₂×D₄	—	4	2	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	2	no	—
1140	C₂×D₄	—	4	4	no	—
1141	C₂×D₄	—	4	4	no	—
1142	C₂×D₄	—	4	4	no	—
1143	C₂×D₄	—	4	4	no	—
1144	C₂×D₄	—	4	4	no	—
1145	C₂×D₄	—	4	8	no	—
1146	C₂×D₄	—	8	4	no	—
1147	C₂×D₄	—	8	4	no	—
1148	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1149	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1150	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1151	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
1152	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1153	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1154	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1155	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1156	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1157	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1158	C₂²×C₄	—	2	1	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	2	no	—
1161	C₂²×C₄	—	2	1	no	—
1162	C₂²×C₄	—	2	2	no	—
1163	C₂²×C₄	—	2	1	no	—
1164	C₂²×C₄	—	2	1	no	—
1165	C₂²×C₄	—	2	2	no	—
1166	C₂²×C₄	—	2	2	no	—
1167	C₂²×C₄	—	2	1	no	—
1168	C₂²×C₄	—	2	1	no	—
1169	C₂²×C₄	—	2	1	no	—
1170	C₂²×C₄	—	2	1	no	—
1171	C₂²×C₄	—	2	2	no	—
1172	C₂²×C₄	—	2	2	no	—
1173	C₂²×C₄	—	2	2	no	—
1174	C₂²×C₄	—	4	4	no	—
1175	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1181	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1182	Q₁₆	—	2	2	no	—
1183	Q₁₆	—	2	4	no	—
1184	Q₁₆	—	4	1	no	—
1185	SD₁₆	—	2	2	no	—
1186	SD₁₆	—	2	4	no	—
1187	SD₁₆	—	2	4	no	—
1188	SD₁₆	—	2	4	no	—
1189	SD₁₆	—	2	4	no	—
1190	SD₁₆	—	2	2	no	—
1191	SD₁₆	—	2	4	no	—
1192	SD₁₆	—	2	4	no	—
1193	SD₁₆	—	4	2	no	—
1194	SD₁₆	—	4	2	no	—
1195	SD₁₆	—	4	1	no	—
1196	SD₁₆	—	4	1	no	—
1197	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
1198	D₈	—	2	4	no	—
1199	D₈	—	2	4	no	—
1200	D₈	—	2	2	no	—
1201	D₈	—	2	4	no	—
1202	D₈	—	4	1	no	—
1203	D₈	C₂×D₄×C₁₃	1	8	yes	complemented
1204	M₁₆	—	2	2	no	—
1205	M₁₆	—	2	4	no	—
1206	M₁₆	—	2	4	no	—
1207	M₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
1208	C₂×C₈	—	2	2	no	—
1209	C₂×C₈	—	2	2	no	—
1210	C₂×C₈	—	2	4	no	—
1211	C₂×C₈	—	2	4	no	—
1212	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1213	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1214	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1215	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1216	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1217	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1218	C₄⋊C₄	—	2	2	no	—
1219	C₄⋊C₄	—	2	1	no	—
1220	C₄⋊C₄	—	2	2	no	—
1221	C₄⋊C₄	—	2	2	no	—
1222	C₄⋊C₄	—	2	2	no	—
1223	C₄⋊C₄	—	2	2	no	—
1224	C₄⋊C₄	—	2	1	no	—
1225	C₄⋊C₄	—	2	1	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1228	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1229	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1230	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1231	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1232	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1233	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1234	C₂²⋊C₄	—	2	1	no	—
1235	C₂²⋊C₄	—	2	1	no	—
1236	C₂²⋊C₄	—	2	1	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	2	no	—
1244	C₂²⋊C₄	—	2	2	no	—
1245	C₂²⋊C₄	—	2	2	no	—
1246	C₂²⋊C₄	—	2	2	no	—
1247	C₂²⋊C₄	—	2	2	no	—
1248	C₂²⋊C₄	—	2	2	no	—
1249	C₂²⋊C₄	—	2	1	no	—
1250	C₂²⋊C₄	—	2	1	no	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1253	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1254	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1255	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1256	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1257	C₄²	—	2	2	no	—
1258	C₄²	—	2	1	no	—
1259	C₄²	C₂⁴×C₁₃	1	2	yes	—
1260	C₁₃	#61071	1	1	yes	characteristic, direct product factor, Sylow
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	4	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	2	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	4	1	no	—
1270	C₂³	—	4	2	no	—
1271	C₂³	—	4	4	no	—
1272	C₂³	—	4	4	no	—
1273	C₂³	—	4	4	no	—
1274	C₂³	—	4	4	no	—
1275	C₂³	—	4	2	no	—
1276	C₂³	—	4	4	no	—
1277	C₂³	—	4	2	no	—
1278	C₂³	—	8	1	no	—
1279	C₂³	—	8	1	no	—
1280	C₂³	—	8	1	no	—
1281	C₂³	—	8	1	no	—
1282	C₂³	—	8	2	no	—
1283	C₂³	—	8	2	no	—
1284	C₂³	—	8	1	no	—
1285	C₂³	—	8	2	no	—
1286	C₂³	—	8	2	no	—
1287	C₂³	—	8	16	no	—
1288	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1289	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1290	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1291	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1292	Q₈	—	2	2	no	—
1293	Q₈	—	2	1	no	—
1294	Q₈	—	2	1	no	—
1295	Q₈	—	2	2	no	—
1296	Q₈	—	2	1	no	—
1297	Q₈	—	2	2	no	—
1298	Q₈	—	2	1	no	—
1299	Q₈	—	2	1	no	—
1300	Q₈	—	4	4	no	—
1301	Q₈	—	4	2	no	—
1302	Q₈	—	4	2	no	—
1303	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1304	D₄	—	2	4	no	—
1305	D₄	—	2	4	no	—
1306	D₄	—	2	4	no	—
1307	D₄	—	2	4	no	—
1308	D₄	—	2	2	no	—
1309	D₄	—	2	1	no	—
1310	D₄	—	2	2	no	—
1311	D₄	—	2	1	no	—
1312	D₄	—	2	2	no	—
1313	D₄	—	2	1	no	—
1314	D₄	—	2	1	no	—
1315	D₄	—	2	1	no	—
1316	D₄	—	2	2	no	—
1317	D₄	—	4	2	no	—
1318	D₄	—	4	4	no	—
1319	D₄	—	4	4	no	—
1320	D₄	—	4	4	no	—
1321	D₄	—	4	2	no	—
1322	D₄	—	4	2	no	—
1323	D₄	—	4	4	no	—
1324	D₄	—	4	2	no	—
1325	D₄	—	4	4	no	—
1326	D₄	—	4	2	no	—
1327	D₄	—	4	2	no	—
1328	D₄	—	4	2	no	—
1329	D₄	—	4	2	no	—
1330	D₄	—	4	2	no	—
1331	D₄	—	8	2	no	—
1332	D₄	—	8	2	no	—
1333	D₄	—	8	2	no	—
1334	D₄	—	8	2	no	—
1335	D₄	—	8	2	no	—
1336	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1337	D₄	C₂²×D₄×C₁₃	1	4	yes	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	4	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	2	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	4	2	no	—
1356	C₂×C₄	—	4	2	no	—
1357	C₂×C₄	—	4	2	no	—
1358	C₂×C₄	—	4	4	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	2	no	—
1362	C₂×C₄	—	4	2	no	—
1363	C₂×C₄	—	4	2	no	—
1364	C₂×C₄	—	8	2	no	—
1365	C₂×C₄	—	8	2	no	—
1366	C₂×C₄	—	8	2	no	—
1367	C₂×C₄	—	8	1	no	—
1368	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1369	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1370	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1371	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1372	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1373	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1374	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1375	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1376	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1377	C₈	—	2	1	no	—
1378	C₈	—	2	2	no	—
1379	C₈	—	2	1	no	—
1380	C₈	—	2	1	no	—
1381	C₈	—	2	1	no	—
1382	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1383	C₂²	—	2	1	no	—
1384	C₂²	—	2	1	no	—
1385	C₂²	—	2	1	no	—
1386	C₂²	—	2	1	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	1	no	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	4	no	—
1395	C₂²	—	4	4	no	—
1396	C₂²	—	4	2	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	2	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	2	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	2	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	4	2	no	—
1409	C₂²	—	8	4	no	—
1410	C₂²	—	8	4	no	—
1411	C₂²	—	8	8	no	—
1412	C₂²	—	8	4	no	—
1413	C₂²	—	8	8	no	—
1414	C₂²	—	16	4	no	—
1415	C₂²	D₄²×C₁₃	1	2	yes	—
1416	C₂²	C₁₃×#577	1	2	yes	complemented
1417	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	1	no	—
1421	C₄	—	2	1	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	2	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	2	no	—
1430	C₄	D₄²×C₁₃	1	2	yes	—
1431	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1432	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1433	C₂	—	2	2	no	—
1434	C₂	—	2	2	no	—
1435	C₂	—	4	1	no	—
1436	C₂	—	4	2	no	—
1437	C₂	—	4	4	no	—
1438	C₂	—	4	2	no	—
1439	C₂	—	8	2	no	—
1440	C₂	—	8	1	no	—
1441	C₂	—	8	1	no	—
1442	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1443	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1444	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×#577	C₂	semidirect
2. C₂²×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
3. C₁₃×#3489	C₂	semidirect
4. C₁₃×#3484	C₂	semidirect
5. D₄×C₁₃×SD₁₆	C₂	semidirect
6. C₁₃×#3280	C₂	semidirect
7. C₁₃×#3275	C₂	semidirect
8. C₁₃×#3272	C₂	semidirect
9. C₁₃×#3267	C₂	semidirect
10. C₁₃×#3266	C₂	semidirect
11. C₁₃×#3265	C₂	semidirect
12. C₁₃×#3264	C₂	semidirect
13. C₁₃×#3154	C₂	semidirect
14. C₁₃×#3062	C₂	semidirect
15. C₁₃×#3056	C₂	semidirect
16. C₁₃×#3045	C₂	semidirect
17. C₁₃×#3042	C₂	semidirect
18. C₁₃×#3012	C₂	semidirect
19. C₁₃×#3010	C₂	semidirect
20. C₁₃×#3002	C₂	semidirect
21. C₂×C₁₃×#450	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₁₃×#2933	C₂	semidirect
24. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
25. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
29. C₂×C₁₃×#137	C₂²	semidirect
30. C₂×C₁₃×#137	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×SD₁₆	C₂²	semidirect
44. C₂²×C₁₃×SD₁₆	C₂²	semidirect
45. C₂²×C₁₃×SD₁₆	C₂²	semidirect
46. C₂²×C₁₃×D₈	C₂²	semidirect
47. C₂×C₁₃×#131	C₂²	semidirect
48. C₂²×C₁₃×M₁₆	C₂²	semidirect
49. D₄×Q₈×C₁₃	C₂²	semidirect
50. C₁₃×#548	C₂²	semidirect
52. C₁₃×#547	C₂²	semidirect
57. C₁₃×#546	C₂²	semidirect
58. C₁₃×#546	C₂²	semidirect
62. D₄²×C₁₃	C₂²	semidirect
64. C₁₃×#537	C₂²	semidirect
66. C₁₃×#536	C₂²	semidirect
67. C₁₃×#535	C₂²	semidirect
68. C₁₃×#535	C₂²	semidirect
74. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
76. C₁₃×#520	C₂²	semidirect
77. C₁₃×#518	C₂²	semidirect
78. C₁₃×#497	C₂²	semidirect
79. C₁₃×#496	C₂²	semidirect
80. C₁₃×#495	C₂²	semidirect
81. C₁₃×#492	C₂²	semidirect
82. C₁₃×#470	C₂²	semidirect
83. C₁₃×#469	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#467	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×#461	C₂²	semidirect
95. C₁₃×#461	C₂²	semidirect
96. C₁₃×#460	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×#450	C₂²	semidirect
105. C₁₃×#450	C₂²	semidirect
106. C₁₃×#450	C₂²	semidirect
107. C₁₃×#450	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
109. C₁₃×#449	C₂²	semidirect
110. C₁₃×#449	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
115. C₁₃×#448	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×#419	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
156. C₂×C₁₃×#41	C₂³	semidirect
160. C₂²×Q₈×C₁₃	C₂³	semidirect
187. C₁₃×AGL(1,ℤ/8)	D₄	semidirect
191. C₂×C₁₃×Q₁₆	C₂³	semidirect
192. C₂×C₁₃×Q₁₆	C₂³	semidirect
193. C₂×C₁₃×Q₁₆	C₂³	semidirect
206. C₂×C₁₃×SD₁₆	C₂³	semidirect
207. C₂×C₁₃×SD₁₆	C₂³	semidirect
208. C₂×C₁₃×SD₁₆	C₂³	semidirect
209. C₂×C₁₃×SD₁₆	C₂³	semidirect
210. C₂×C₁₃×SD₁₆	C₂³	semidirect
216. C₂×C₁₃×D₈	C₂³	semidirect
217. C₂×C₁₃×D₈	C₂³	semidirect
223. C₂×C₁₃×M₁₆	C₂³	semidirect
227. C₂²×C₈×C₁₃	C₂³	semidirect
229. C₁₃×C₄⋊Q₈	C₂³	semidirect
235. C₁₃×#124	C₂³	semidirect
258. C₁₃×C₂²⋊Q₈	C₂³	semidirect
276. C₁₃×#121	C₂³	semidirect
288. C₄×Q₈×C₁₃	C₂³	semidirect
300. 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
322. C₁₃×#103	C₂³	semidirect
323. C₁₃×#103	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. #61071	C₁₃	direct (N × H)
372. C₁₃×#41	C₂×D₄	semidirect
476. C₁₃×SD₁₆	C₂×D₄	semidirect
482. C₁₃×D₈	C₂×D₄	semidirect
486. C₁₃×M₁₆	C₂×D₄	semidirect
539. C₂×#577	C₂×C₁₃	semidirect
540. C₂²×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
541. #3489	C₂×C₁₃	semidirect
542. #3484	C₂×C₁₃	semidirect
543. D₄×SD₁₆	C₂×C₁₃	semidirect
544. #3280	C₂×C₁₃	semidirect
545. #3275	C₂×C₁₃	semidirect
546. #3272	C₂×C₁₃	semidirect
547. #3267	C₂×C₁₃	semidirect
548. #3266	C₂×C₁₃	semidirect
549. #3265	C₂×C₁₃	semidirect
550. #3264	C₂×C₁₃	semidirect
551. #3154	C₂×C₁₃	semidirect
552. #3062	C₂×C₁₃	semidirect
553. #3056	C₂×C₁₃	semidirect
554. #3045	C₂×C₁₃	semidirect
555. #3042	C₂×C₁₃	semidirect
556. #3012	C₂×C₁₃	semidirect
557. #3010	C₂×C₁₃	semidirect
558. #3002	C₂×C₁₃	semidirect
559. C₂×#450	C₂×C₁₃	semidirect
560. #2946	C₂×C₁₃	semidirect
561. #2933	C₂×C₁₃	semidirect
684. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
685. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
686. C₂²×#41	C₂²×C₁₃	semidirect
689. C₂×#137	C₂²×C₁₃	semidirect
690. C₂×#137	C₂²×C₁₃	semidirect
694. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
695. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
696. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
697. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
698. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
699. C₂×#135	C₂²×C₁₃	semidirect
700. C₂×#135	C₂²×C₁₃	semidirect
701. C₂×#135	C₂²×C₁₃	semidirect
702. C₂²×SD₁₆	C₂²×C₁₃	semidirect
703. C₂²×SD₁₆	C₂²×C₁₃	semidirect
704. C₂²×SD₁₆	C₂²×C₁₃	semidirect
705. C₂²×SD₁₆	C₂²×C₁₃	semidirect
706. C₂²×D₈	C₂²×C₁₃	semidirect
707. C₂×#131	C₂²×C₁₃	semidirect
708. C₂²×M₁₆	C₂²×C₁₃	semidirect
709. D₄×Q₈	C₂²×C₁₃	semidirect
710. #548	C₂²×C₁₃	semidirect
712. #547	C₂²×C₁₃	semidirect
717. #546	C₂²×C₁₃	semidirect
718. #546	C₂²×C₁₃	semidirect
722. D₄²	C₂²×C₁₃	semidirect
724. #537	C₂²×C₁₃	semidirect
726. #536	C₂²×C₁₃	semidirect
727. #535	C₂²×C₁₃	semidirect
728. #535	C₂²×C₁₃	semidirect
734. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
736. #520	C₂²×C₁₃	semidirect
737. #518	C₂²×C₁₃	semidirect
738. #497	C₂²×C₁₃	semidirect
739. #496	C₂²×C₁₃	semidirect
740. #495	C₂²×C₁₃	semidirect
741. #492	C₂²×C₁₃	semidirect
742. #470	C₂²×C₁₃	semidirect
743. #469	C₂²×C₁₃	semidirect
744. #468	C₂²×C₁₃	semidirect
745. #468	C₂²×C₁₃	semidirect
746. #467	C₂²×C₁₃	semidirect
747. #466	C₂²×C₁₃	semidirect
748. #465	C₂²×C₁₃	semidirect
749. #465	C₂²×C₁₃	semidirect
750. #464	C₂²×C₁₃	semidirect
751. #463	C₂²×C₁₃	semidirect
752. #463	C₂²×C₁₃	semidirect
753. #463	C₂²×C₁₃	semidirect
754. #461	C₂²×C₁₃	semidirect
755. #461	C₂²×C₁₃	semidirect
756. #460	C₂²×C₁₃	semidirect
757. #459	C₂²×C₁₃	semidirect
758. #452	C₂²×C₁₃	semidirect
759. #452	C₂²×C₁₃	semidirect
760. #452	C₂²×C₁₃	semidirect
761. #451	C₂²×C₁₃	semidirect
762. #450	C₂²×C₁₃	semidirect
763. #450	C₂²×C₁₃	semidirect
764. #450	C₂²×C₁₃	semidirect
765. #450	C₂²×C₁₃	semidirect
766. #450	C₂²×C₁₃	semidirect
767. #450	C₂²×C₁₃	semidirect
768. #449	C₂²×C₁₃	semidirect
769. #449	C₂²×C₁₃	semidirect
770. #449	C₂²×C₁₃	semidirect
771. #449	C₂²×C₁₃	semidirect
772. #449	C₂²×C₁₃	semidirect
773. #448	C₂²×C₁₃	semidirect
774. #448	C₂²×C₁₃	semidirect
775. #448	C₂²×C₁₃	semidirect
776. #447	C₂²×C₁₃	semidirect
777. #447	C₂²×C₁₃	semidirect
778. #442	C₂²×C₁₃	semidirect
779. #440	C₂²×C₁₃	semidirect
780. C₄×SD₁₆	C₂²×C₁₃	semidirect
781. C₄×D₈	C₂²×C₁₃	semidirect
782. #436	C₂²×C₁₃	semidirect
783. #435	C₂²×C₁₃	semidirect
784. #435	C₂²×C₁₃	semidirect
785. C₈×D₄	C₂²×C₁₃	semidirect
786. #428	C₂²×C₁₃	semidirect
787. #424	C₂²×C₁₃	semidirect
788. #419	C₂²×C₁₃	semidirect
789. #417	C₂²×C₁₃	semidirect
790. #416	C₂²×C₁₃	semidirect
791. #416	C₂²×C₁₃	semidirect
792. C₂×#102	C₂²×C₁₃	semidirect
793. C₂×#102	C₂²×C₁₃	semidirect
794. #408	C₂²×C₁₃	semidirect
795. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
796. #405	C₂²×C₁₃	semidirect
830. C₂²×C₁₃	#577	semidirect
866. C₂×#41	C₂³×C₁₃	semidirect
870. C₂²×Q₈	C₂³×C₁₃	semidirect
897. AGL(1,ℤ/8)	D₄×C₁₃	semidirect
901. C₂×Q₁₆	C₂³×C₁₃	semidirect
902. C₂×Q₁₆	C₂³×C₁₃	semidirect
903. C₂×Q₁₆	C₂³×C₁₃	semidirect
916. C₂×SD₁₆	C₂³×C₁₃	semidirect
917. C₂×SD₁₆	C₂³×C₁₃	semidirect
918. C₂×SD₁₆	C₂³×C₁₃	semidirect
919. C₂×SD₁₆	C₂³×C₁₃	semidirect
920. C₂×SD₁₆	C₂³×C₁₃	semidirect
926. C₂×D₈	C₂³×C₁₃	semidirect
927. C₂×D₈	C₂³×C₁₃	semidirect
933. C₂×M₁₆	C₂³×C₁₃	semidirect
937. C₂²×C₈	C₂³×C₁₃	semidirect
939. C₄⋊Q₈	C₂³×C₁₃	semidirect
945. #124	C₂³×C₁₃	semidirect
968. C₂²⋊Q₈	C₂³×C₁₃	semidirect
986. #121	C₂³×C₁₃	semidirect
998. C₄×Q₈	C₂³×C₁₃	semidirect
1010. C₄×D₄	C₂³×C₁₃	semidirect
1023. #107	C₂³×C₁₃	semidirect
1024. #106	C₂³×C₁₃	semidirect
1025. C₄⋊C₈	C₂³×C₁₃	semidirect
1026. C₄⋊C₈	C₂³×C₁₃	semidirect
1027. #103	C₂³×C₁₃	semidirect
1028. #103	C₂³×C₁₃	semidirect
1029. #103	C₂³×C₁₃	semidirect
1030. #103	C₂³×C₁₃	semidirect
1031. #103	C₂³×C₁₃	semidirect
1032. #103	C₂³×C₁₃	semidirect
1033. #103	C₂³×C₁₃	semidirect
1038. #102	C₂³×C₁₃	semidirect
1039. #102	C₂³×C₁₃	semidirect
1040. #102	C₂³×C₁₃	semidirect
1041. #102	C₂³×C₁₃	semidirect
1042. #102	C₂³×C₁₃	semidirect
1047. C₂²⋊C₈	C₂³×C₁₃	semidirect
1048. C₂²⋊C₈	C₂³×C₁₃	semidirect
1049. #97	C₂³×C₁₃	semidirect
1050. C₄×C₈	C₂³×C₁₃	semidirect
1093. #41	C₂×D₄×C₁₃	semidirect
1197. SD₁₆	C₂×D₄×C₁₃	semidirect
1203. D₈	C₂×D₄×C₁₃	semidirect
1207. M₁₆	C₂×D₄×C₁₃	semidirect
1260. C₁₃	#61071	direct (N × H)
1416. C₂²	C₁₃×#577	semidirect

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
C₂²×C₁₃×AGL(1,ℤ/8)	2
C₁₃×#3489	2
C₁₃×#3484	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3280	2
C₁₃×#3275	2
C₁₃×#3272	2
C₁₃×#3267	2
C₁₃×#3266	2
C₁₃×#3265	2
C₁₃×#3264	2
C₁₃×#3154	2
C₁₃×#3062	2
C₁₃×#3056	2
C₁₃×#3045	2
C₁₃×#3042	2
C₁₃×#3012	2
C₁₃×#3010	2
C₁₃×#3002	2
C₂×C₁₃×#450	2
C₁₃×#2946	2
C₁₃×#2933	2
#61071	13

Subgroups — C13×#61071 #15747410

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61071 #15747410