Subgroups — C₁₃×#61092 #15747431

Order 3328.

2770 conjugacy classes of subgroups.

The subgroup lattice has 1400 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×#576	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3282	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×#3273	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3267	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×#3153	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₃×#463	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×#3009	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2935	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
26	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#577	—	2	8	no	—
29	C₁₃×#576	—	2	8	no	—
30	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
31	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
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	2	yes	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	1	yes	characteristic, complemented
39	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
40	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
43	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
45	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
46	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
47	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#548	C₂²	1	2	yes	complemented
50	C₁₃×#548	C₂²	1	2	yes	complemented
51	C₁₃×#547	—	2	1	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	—	2	2	no	—
57	C₁₃×#546	C₂²	1	2	yes	complemented
58	C₁₃×#546	C₂²	1	2	yes	complemented
59	C₁₃×#546	C₂²	1	2	yes	complemented
60	C₁₃×#546	C₂²	1	2	yes	complemented
61	D₄²×C₁₃	—	2	1	no	—
62	D₄²×C₁₃	C₂²	1	2	yes	complemented
63	C₁₃×#537	C₂²	1	1	yes	characteristic
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	—	2	1	no	—
68	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#534	—	2	2	no	—
70	C₁₃×#532	—	2	1	no	—
71	C₁₃×#532	C₂²	1	1	yes	characteristic
72	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₁₃×#124	—	2	1	no	—
74	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₁₃×#121	—	2	2	no	—
76	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×D₄×C₁₃	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×#495	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	1	yes	characteristic, complemented
91	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#463	C₂²	1	2	yes	complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#463	C₂²	1	2	yes	complemented
96	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#463	C₂²	1	2	yes	complemented
98	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#459	C₂²	1	1	yes	characteristic, 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×#450	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×#447	C₂²	1	2	yes	complemented
116	C₁₃×#447	C₂²	1	2	yes	complemented
117	C₁₃×#447	C₂²	1	2	yes	complemented
118	C₁₃×#442	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
121	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
126	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₃×#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×#408	C₂²	1	1	yes	characteristic, complemented
136	C₄×C₁₃×M₁₆	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)	—	2	4	no	—
141	C₁₃×H(5,𝔽₂)	—	2	4	no	—
142	C₁₃×H(5,𝔽₂)	—	4	2	no	—
143	C₁₃×H(5,𝔽₂)	—	4	2	no	—
144	C₁₃×H(5,𝔽₂)	—	4	2	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	1	no	—
149	C₂×C₁₃×#41	—	2	2	no	—
150	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×#41	C₂³	1	2	yes	—
153	C₂×C₁₃×#41	C₂³	1	2	yes	—
154	C₂×C₁₃×#41	C₂³	1	2	yes	—
155	C₂×C₁₃×#41	C₂³	1	2	yes	—
156	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
159	C₂²×Q₈×C₁₃	—	2	1	no	—
160	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
161	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
162	C₂²×D₄×C₁₃	—	2	2	no	—
163	C₂²×D₄×C₁₃	—	2	2	no	—
164	C₂²×D₄×C₁₃	—	2	1	no	—
165	C₂²×D₄×C₁₃	—	2	1	no	—
166	C₂²×D₄×C₁₃	—	2	1	no	—
167	C₂²×D₄×C₁₃	—	2	2	no	—
168	C₂²×D₄×C₁₃	—	2	2	no	—
169	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
170	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
171	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
172	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
173	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
174	C₂³×C₄×C₁₃	—	2	1	no	—
175	C₁₃×#137	—	2	8	no	—
176	C₁₃×#137	—	2	4	no	—
177	C₁₃×#137	—	4	2	no	—
178	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
179	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
180	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
181	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
182	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
183	C₁₃×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
184	C₁₃×#135	—	2	4	no	—
185	C₁₃×#135	—	2	4	no	—
186	C₁₃×#135	—	2	8	no	—
187	C₁₃×#135	—	2	8	no	—
188	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
189	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
190	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
191	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
192	C₂×C₁₃×SD₁₆	—	2	4	no	—
193	C₂×C₁₃×SD₁₆	—	2	8	no	—
194	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
196	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
198	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
199	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
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×D₈	—	2	4	no	—
206	C₂×C₁₃×D₈	—	2	8	no	—
207	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×D₈	C₂³	1	2	yes	—
209	C₂×C₁₃×D₈	C₂³	1	2	yes	—
210	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×D₈	C₂³	1	2	yes	—
212	C₂×C₁₃×D₈	C₂³	1	2	yes	—
213	C₂×C₁₃×D₈	C₂³	1	2	yes	—
214	C₁₃×#131	—	2	4	no	—
215	C₁₃×#131	—	2	4	no	—
216	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
218	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
219	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
223	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
224	C₁₃×C₄⋊Q₈	—	2	1	no	—
225	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
226	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×#127	—	2	1	no	—
228	C₁₃×#127	D₄	1	1	yes	characteristic
229	C₁₃×#127	C₂³	1	1	yes	characteristic
230	C₁₃×#124	—	2	1	no	—
231	C₁₃×#124	—	2	1	no	—
232	C₁₃×#124	—	2	2	no	—
233	C₁₃×#124	—	2	2	no	—
234	C₁₃×#124	—	2	1	no	—
235	C₁₃×#124	—	2	1	no	—
236	C₁₃×#124	D₄	1	1	yes	characteristic
237	C₁₃×#124	D₄	1	1	yes	characteristic
238	C₁₃×#124	C₂³	1	2	yes	—
239	C₁₃×#124	C₂³	1	2	yes	—
240	C₁₃×#124	C₂³	1	1	yes	characteristic
241	C₁₃×#124	C₂³	1	1	yes	characteristic
242	C₁₃×#123	—	2	2	no	—
243	C₁₃×#123	—	2	2	no	—
244	C₁₃×#123	—	2	2	no	—
245	C₁₃×#123	—	2	2	no	—
246	C₁₃×#123	—	2	2	no	—
247	C₁₃×#123	—	2	2	no	—
248	C₁₃×#123	—	2	2	no	—
249	C₁₃×C₂²⋊Q₈	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	—	2	1	no	—
251	C₁₃×C₂²⋊Q₈	—	2	2	no	—
252	C₁₃×C₂²⋊Q₈	—	2	2	no	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
257	C₁₃×#121	—	2	2	no	—
258	C₁₃×#121	—	2	2	no	—
259	C₁₃×#121	—	2	2	no	—
260	C₁₃×#121	—	2	2	no	—
261	C₁₃×#121	—	2	2	no	—
262	C₁₃×#121	—	2	1	no	—
263	C₁₃×#121	—	2	1	no	—
264	C₁₃×#121	—	2	1	no	—
265	C₁₃×#121	—	2	1	no	—
266	C₁₃×#121	—	2	2	no	—
267	C₁₃×#121	—	2	2	no	—
268	C₁₃×#121	—	2	2	no	—
269	C₁₃×#121	—	2	2	no	—
270	C₁₃×#121	—	2	2	no	—
271	C₁₃×#121	D₄	1	2	yes	—
272	C₁₃×#121	D₄	1	2	yes	—
273	C₁₃×#121	C₂³	1	2	yes	—
274	C₁₃×#121	C₂³	1	2	yes	—
275	C₁₃×#121	C₂³	1	2	yes	—
276	C₁₃×#121	C₂³	1	2	yes	—
277	C₁₃×#120	—	2	2	no	—
278	C₁₃×#120	—	2	2	no	—
279	C₁₃×#120	—	2	2	no	—
280	C₁₃×#120	—	2	2	no	—
281	C₁₃×#120	—	2	2	no	—
282	C₁₃×#120	—	2	2	no	—
283	C₁₃×#120	—	2	2	no	—
284	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	—	2	1	no	—
287	C₄×D₄×C₁₃	—	2	1	no	—
288	C₄×D₄×C₁₃	—	2	2	no	—
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	C₂³	1	1	yes	characteristic
295	C₄×D₄×C₁₃	C₂³	1	2	yes	—
296	C₄×D₄×C₁₃	C₂³	1	2	yes	—
297	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
298	C₄×D₄×C₁₃	C₂³	1	2	yes	—
299	C₄×D₄×C₁₃	C₂³	1	2	yes	—
300	C₁₃×#117	—	2	1	no	—
301	C₁₃×#117	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
306	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
308	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
311	C₂×C₄²×C₁₃	—	2	1	no	—
312	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
313	C₁₃×#107	C₂³	1	2	yes	—
314	C₁₃×#106	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
319	C₁₃×#103	C₂³	1	2	yes	—
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	1	yes	characteristic
322	C₁₃×#103	C₂³	1	1	yes	characteristic
323	C₁₃×#103	C₂³	1	1	yes	characteristic
324	C₁₃×#103	C₂³	1	1	yes	characteristic
325	C₁₃×#103	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
329	C₁₃×#102	C₂³	1	1	yes	characteristic
330	C₁₃×#102	C₂³	1	1	yes	characteristic
331	C₁₃×#102	C₂³	1	1	yes	characteristic
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	#61092	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
342	C₂⁴×C₁₃	—	2	1	no	—
343	C₂⁴×C₁₃	—	2	2	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₂⁴×C₁₃	—	2	2	no	—
346	C₂⁴×C₁₃	—	2	2	no	—
347	C₁₃×#41	—	2	2	no	—
348	C₁₃×#41	—	2	2	no	—
349	C₁₃×#41	—	2	2	no	—
350	C₁₃×#41	—	2	2	no	—
351	C₁₃×#41	—	2	2	no	—
352	C₁₃×#41	—	2	4	no	—
353	C₁₃×#41	—	2	4	no	—
354	C₁₃×#41	—	2	4	no	—
355	C₁₃×#41	—	2	4	no	—
356	C₁₃×#41	—	2	2	no	—
357	C₁₃×#41	—	2	2	no	—
358	C₁₃×#41	—	2	2	no	—
359	C₁₃×#41	—	2	2	no	—
360	C₁₃×#41	—	4	2	no	—
361	C₁₃×#41	—	4	2	no	—
362	C₁₃×#41	—	4	2	no	—
363	C₁₃×#41	—	4	2	no	—
364	C₁₃×#41	—	4	4	no	—
365	C₁₃×#41	—	4	4	no	—
366	C₁₃×#41	—	4	8	no	—
367	C₁₃×#41	—	4	4	no	—
368	C₁₃×#41	—	4	4	no	—
369	C₁₃×#41	C₂×D₄	1	4	yes	complemented
370	C₂×Q₈×C₁₃	—	2	2	no	—
371	C₂×Q₈×C₁₃	—	2	1	no	—
372	C₂×Q₈×C₁₃	—	2	4	no	—
373	C₂×Q₈×C₁₃	—	2	2	no	—
374	C₂×Q₈×C₁₃	—	2	2	no	—
375	C₂×Q₈×C₁₃	—	4	2	no	—
376	C₂×Q₈×C₁₃	—	4	4	no	—
377	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
379	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×D₄×C₁₃	—	2	1	no	—
384	C₂×D₄×C₁₃	—	2	4	no	—
385	C₂×D₄×C₁₃	—	2	4	no	—
386	C₂×D₄×C₁₃	—	2	4	no	—
387	C₂×D₄×C₁₃	—	2	2	no	—
388	C₂×D₄×C₁₃	—	2	2	no	—
389	C₂×D₄×C₁₃	—	2	2	no	—
390	C₂×D₄×C₁₃	—	2	1	no	—
391	C₂×D₄×C₁₃	—	2	1	no	—
392	C₂×D₄×C₁₃	—	2	2	no	—
393	C₂×D₄×C₁₃	—	2	2	no	—
394	C₂×D₄×C₁₃	—	2	2	no	—
395	C₂×D₄×C₁₃	—	2	2	no	—
396	C₂×D₄×C₁₃	—	2	2	no	—
397	C₂×D₄×C₁₃	—	2	1	no	—
398	C₂×D₄×C₁₃	—	2	2	no	—
399	C₂×D₄×C₁₃	—	2	1	no	—
400	C₂×D₄×C₁₃	—	2	2	no	—
401	C₂×D₄×C₁₃	—	2	2	no	—
402	C₂×D₄×C₁₃	—	2	2	no	—
403	C₂×D₄×C₁₃	—	2	1	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	—	4	2	no	—
408	C₂×D₄×C₁₃	—	4	2	no	—
409	C₂×D₄×C₁₃	—	4	2	no	—
410	C₂×D₄×C₁₃	—	4	4	no	—
411	C₂×D₄×C₁₃	—	4	8	no	—
412	C₂×D₄×C₁₃	—	4	4	no	—
413	C₂×D₄×C₁₃	—	4	4	no	—
414	C₂×D₄×C₁₃	—	4	8	no	—
415	C₂×D₄×C₁₃	—	4	8	no	—
416	C₂×D₄×C₁₃	—	8	4	no	—
417	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
418	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
419	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
420	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
421	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
422	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
423	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
424	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
425	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
426	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
428	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
429	C₂²×C₄×C₁₃	—	2	1	no	—
430	C₂²×C₄×C₁₃	—	2	1	no	—
431	C₂²×C₄×C₁₃	—	2	2	no	—
432	C₂²×C₄×C₁₃	—	2	1	no	—
433	C₂²×C₄×C₁₃	—	2	2	no	—
434	C₂²×C₄×C₁₃	—	2	2	no	—
435	C₂²×C₄×C₁₃	—	2	2	no	—
436	C₂²×C₄×C₁₃	—	2	2	no	—
437	C₂²×C₄×C₁₃	—	2	1	no	—
438	C₂²×C₄×C₁₃	—	2	1	no	—
439	C₂²×C₄×C₁₃	—	2	2	no	—
440	C₂²×C₄×C₁₃	—	2	1	no	—
441	C₂²×C₄×C₁₃	—	2	1	no	—
442	C₂²×C₄×C₁₃	—	2	2	no	—
443	C₂²×C₄×C₁₃	—	8	2	no	—
444	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
447	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
448	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₁₃×Q₁₆	—	2	2	no	—
450	C₁₃×Q₁₆	—	2	2	no	—
451	C₁₃×Q₁₆	—	2	4	no	—
452	C₁₃×Q₁₆	—	4	2	no	—
453	C₁₃×SD₁₆	—	2	2	no	—
454	C₁₃×SD₁₆	—	2	2	no	—
455	C₁₃×SD₁₆	—	2	4	no	—
456	C₁₃×SD₁₆	—	2	4	no	—
457	C₁₃×SD₁₆	—	2	2	no	—
458	C₁₃×SD₁₆	—	2	2	no	—
459	C₁₃×SD₁₆	—	2	4	no	—
460	C₁₃×SD₁₆	—	2	4	no	—
461	C₁₃×SD₁₆	—	4	2	no	—
462	C₁₃×SD₁₆	—	4	2	no	—
463	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
464	C₁₃×D₈	—	2	2	no	—
465	C₁₃×D₈	—	2	4	no	—
466	C₁₃×D₈	—	2	4	no	—
467	C₁₃×D₈	—	2	2	no	—
468	C₁₃×D₈	—	2	4	no	—
469	C₁₃×D₈	—	4	2	no	—
470	C₁₃×D₈	C₂×D₄	1	8	yes	complemented
471	C₁₃×M₁₆	—	2	2	no	—
472	C₁₃×M₁₆	—	2	4	no	—
473	C₁₃×M₁₆	—	2	4	no	—
474	C₁₃×M₁₆	C₂×D₄	1	4	yes	complemented
475	C₂×C₈×C₁₃	—	2	2	no	—
476	C₂×C₈×C₁₃	—	2	2	no	—
477	C₂×C₈×C₁₃	—	2	4	no	—
478	C₂×C₈×C₁₃	—	2	4	no	—
479	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
480	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
481	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
482	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
483	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
484	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
485	C₁₃×C₄⋊C₄	—	2	1	no	—
486	C₁₃×C₄⋊C₄	—	2	2	no	—
487	C₁₃×C₄⋊C₄	—	2	2	no	—
488	C₁₃×C₄⋊C₄	—	2	1	no	—
489	C₁₃×C₄⋊C₄	—	2	1	no	—
490	C₁₃×C₄⋊C₄	—	2	1	no	—
491	C₁₃×C₄⋊C₄	—	2	2	no	—
492	C₁₃×C₄⋊C₄	—	2	2	no	—
493	C₁₃×C₄⋊C₄	—	2	1	no	—
494	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
495	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
496	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
497	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
498	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
499	C₁₃×C₂²⋊C₄	—	2	2	no	—
500	C₁₃×C₂²⋊C₄	—	2	2	no	—
501	C₁₃×C₂²⋊C₄	—	2	2	no	—
502	C₁₃×C₂²⋊C₄	—	2	2	no	—
503	C₁₃×C₂²⋊C₄	—	2	1	no	—
504	C₁₃×C₂²⋊C₄	—	2	1	no	—
505	C₁₃×C₂²⋊C₄	—	2	1	no	—
506	C₁₃×C₂²⋊C₄	—	2	2	no	—
507	C₁₃×C₂²⋊C₄	—	2	2	no	—
508	C₁₃×C₂²⋊C₄	—	2	2	no	—
509	C₁₃×C₂²⋊C₄	—	2	2	no	—
510	C₁₃×C₂²⋊C₄	—	2	2	no	—
511	C₁₃×C₂²⋊C₄	—	2	2	no	—
512	C₁₃×C₂²⋊C₄	—	2	2	no	—
513	C₁₃×C₂²⋊C₄	—	2	2	no	—
514	C₁₃×C₂²⋊C₄	—	2	2	no	—
515	C₁₃×C₂²⋊C₄	—	2	2	no	—
516	C₁₃×C₂²⋊C₄	—	2	1	no	—
517	C₁₃×C₂²⋊C₄	—	2	1	no	—
518	C₁₃×C₂²⋊C₄	—	2	1	no	—
519	C₁₃×C₂²⋊C₄	—	2	1	no	—
520	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
521	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
522	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
523	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
524	C₄²×C₁₃	—	2	1	no	—
525	C₄²×C₁₃	—	2	1	no	—
526	C₄²×C₁₃	—	2	1	no	—
527	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
532	C₂×#576	C₂×C₁₃	1	1	yes	characteristic, complemented
533	#3500	C₂×C₁₃	1	1	yes	characteristic, complemented
534	#3496	C₂×C₁₃	1	1	yes	characteristic, complemented
535	#3282	C₂×C₁₃	1	2	yes	complemented
536	#3280	C₂×C₁₃	1	2	yes	complemented
537	#3275	C₂×C₁₃	1	2	yes	complemented
538	#3273	C₂×C₁₃	1	2	yes	complemented
539	#3269	C₂×C₁₃	1	2	yes	complemented
540	#3267	C₂×C₁₃	1	2	yes	complemented
541	#3265	C₂×C₁₃	1	2	yes	complemented
542	#3264	C₂×C₁₃	1	2	yes	complemented
543	#3153	C₂×C₁₃	1	1	yes	characteristic, complemented
544	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
545	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
546	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
547	C₂×#463	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3009	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3008	C₂×C₁₃	1	1	yes	characteristic, complemented
552	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#2935	C₂×C₁₃	1	1	yes	characteristic, complemented
554	C₂³×C₁₃	—	2	1	no	—
555	C₂³×C₁₃	—	2	2	no	—
556	C₂³×C₁₃	—	2	4	no	—
557	C₂³×C₁₃	—	2	2	no	—
558	C₂³×C₁₃	—	2	1	no	—
559	C₂³×C₁₃	—	2	1	no	—
560	C₂³×C₁₃	—	4	4	no	—
561	C₂³×C₁₃	—	4	4	no	—
562	C₂³×C₁₃	—	4	4	no	—
563	C₂³×C₁₃	—	4	2	no	—
564	C₂³×C₁₃	—	8	1	no	—
565	C₂³×C₁₃	—	8	1	no	—
566	C₂³×C₁₃	—	8	2	no	—
567	C₂³×C₁₃	—	8	2	no	—
568	C₂³×C₁₃	—	8	1	no	—
569	C₂³×C₁₃	—	8	1	no	—
570	C₂³×C₁₃	—	8	2	no	—
571	C₂³×C₁₃	—	8	2	no	—
572	C₂³×C₁₃	—	8	2	no	—
573	C₂³×C₁₃	—	8	2	no	—
574	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
575	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
576	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
577	Q₈×C₁₃	—	2	2	no	—
578	Q₈×C₁₃	—	2	2	no	—
579	Q₈×C₁₃	—	2	1	no	—
580	Q₈×C₁₃	—	2	2	no	—
581	Q₈×C₁₃	—	2	1	no	—
582	Q₈×C₁₃	—	2	1	no	—
583	Q₈×C₁₃	—	2	1	no	—
584	Q₈×C₁₃	—	2	2	no	—
585	Q₈×C₁₃	—	2	1	no	—
586	Q₈×C₁₃	—	4	4	no	—
587	Q₈×C₁₃	—	4	2	no	—
588	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
589	D₄×C₁₃	—	2	4	no	—
590	D₄×C₁₃	—	2	4	no	—
591	D₄×C₁₃	—	2	4	no	—
592	D₄×C₁₃	—	2	4	no	—
593	D₄×C₁₃	—	2	2	no	—
594	D₄×C₁₃	—	2	2	no	—
595	D₄×C₁₃	—	2	2	no	—
596	D₄×C₁₃	—	2	1	no	—
597	D₄×C₁₃	—	2	1	no	—
598	D₄×C₁₃	—	2	2	no	—
599	D₄×C₁₃	—	2	1	no	—
600	D₄×C₁₃	—	2	1	no	—
601	D₄×C₁₃	—	2	2	no	—
602	D₄×C₁₃	—	2	1	no	—
603	D₄×C₁₃	—	4	2	no	—
604	D₄×C₁₃	—	4	2	no	—
605	D₄×C₁₃	—	4	4	no	—
606	D₄×C₁₃	—	4	4	no	—
607	D₄×C₁₃	—	4	4	no	—
608	D₄×C₁₃	—	4	4	no	—
609	D₄×C₁₃	—	4	2	no	—
610	D₄×C₁₃	—	4	4	no	—
611	D₄×C₁₃	—	4	4	no	—
612	D₄×C₁₃	—	4	4	no	—
613	D₄×C₁₃	—	4	2	no	—
614	D₄×C₁₃	—	4	2	no	—
615	D₄×C₁₃	—	4	2	no	—
616	D₄×C₁₃	—	8	1	no	—
617	D₄×C₁₃	—	8	2	no	—
618	D₄×C₁₃	—	8	2	no	—
619	D₄×C₁₃	—	8	2	no	—
620	D₄×C₁₃	—	8	2	no	—
621	D₄×C₁₃	C₂²×D₄	1	2	yes	—
622	D₄×C₁₃	C₂²×D₄	1	4	yes	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	4	no	—
625	C₂×C₄×C₁₃	—	2	2	no	—
626	C₂×C₄×C₁₃	—	2	2	no	—
627	C₂×C₄×C₁₃	—	2	2	no	—
628	C₂×C₄×C₁₃	—	2	2	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	2	no	—
632	C₂×C₄×C₁₃	—	2	2	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	4	1	no	—
636	C₂×C₄×C₁₃	—	4	1	no	—
637	C₂×C₄×C₁₃	—	4	4	no	—
638	C₂×C₄×C₁₃	—	4	4	no	—
639	C₂×C₄×C₁₃	—	4	4	no	—
640	C₂×C₄×C₁₃	—	4	4	no	—
641	C₂×C₄×C₁₃	—	4	4	no	—
642	C₂×C₄×C₁₃	—	4	4	no	—
643	C₂×C₄×C₁₃	—	4	2	no	—
644	C₂×C₄×C₁₃	—	4	2	no	—
645	C₂×C₄×C₁₃	—	4	2	no	—
646	C₂×C₄×C₁₃	—	8	1	no	—
647	C₂×C₄×C₁₃	—	8	1	no	—
648	C₂×C₄×C₁₃	—	8	2	no	—
649	C₂×C₄×C₁₃	—	8	1	no	—
650	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
651	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
652	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
653	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
654	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
655	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
656	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
657	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
658	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
659	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
660	C₈×C₁₃	—	2	1	no	—
661	C₈×C₁₃	—	2	1	no	—
662	C₈×C₁₃	—	2	1	no	—
663	C₈×C₁₃	—	2	1	no	—
664	C₈×C₁₃	—	2	2	no	—
665	C₈×C₁₃	C₂²×D₄	1	4	yes	—
666	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
668	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	#577	—	2	8	no	—
671	#576	—	2	8	no	—
672	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
673	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
674	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
676	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
678	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
679	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
680	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
682	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
685	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
687	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
688	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
689	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	#548	C₂²×C₁₃	1	2	yes	complemented
692	#548	C₂²×C₁₃	1	2	yes	complemented
693	#547	—	2	1	no	—
694	#547	C₂²×C₁₃	1	2	yes	complemented
695	#546	—	2	1	no	—
696	#546	—	2	1	no	—
697	#546	—	2	2	no	—
698	#546	—	2	2	no	—
699	#546	C₂²×C₁₃	1	2	yes	complemented
700	#546	C₂²×C₁₃	1	2	yes	complemented
701	#546	C₂²×C₁₃	1	2	yes	complemented
702	#546	C₂²×C₁₃	1	2	yes	complemented
703	D₄²	—	2	1	no	—
704	D₄²	C₂²×C₁₃	1	2	yes	complemented
705	#537	C₂²×C₁₃	1	1	yes	characteristic
706	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
707	#536	—	2	1	no	—
708	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
709	#535	—	2	1	no	—
710	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	#534	—	2	2	no	—
712	#532	—	2	1	no	—
713	#532	C₂²×C₁₃	1	1	yes	characteristic
714	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	C₂×#124	—	2	1	no	—
716	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	C₂×#121	—	2	2	no	—
718	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
720	#497	C₂²×C₁₃	1	2	yes	complemented
721	#496	C₂²×C₁₃	1	2	yes	complemented
722	#495	C₂²×C₁₃	1	2	yes	complemented
723	#495	C₂²×C₁₃	1	2	yes	complemented
724	#470	C₂²×C₁₃	1	2	yes	complemented
725	#469	C₂²×C₁₃	1	2	yes	complemented
726	#468	C₂²×C₁₃	1	2	yes	complemented
727	#468	C₂²×C₁₃	1	2	yes	complemented
728	#467	C₂²×C₁₃	1	2	yes	complemented
729	#466	C₂²×C₁₃	1	2	yes	complemented
730	#465	C₂²×C₁₃	1	2	yes	complemented
731	#465	C₂²×C₁₃	1	2	yes	complemented
732	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
734	#463	C₂²×C₁₃	1	2	yes	complemented
735	#463	C₂²×C₁₃	1	2	yes	complemented
736	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#463	C₂²×C₁₃	1	2	yes	complemented
738	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
739	#463	C₂²×C₁₃	1	2	yes	complemented
740	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
741	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
742	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
743	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
744	#452	C₂²×C₁₃	1	2	yes	complemented
745	#452	C₂²×C₁₃	1	2	yes	complemented
746	#452	C₂²×C₁₃	1	2	yes	complemented
747	#452	C₂²×C₁₃	1	2	yes	complemented
748	#451	C₂²×C₁₃	1	2	yes	complemented
749	#450	C₂²×C₁₃	1	2	yes	complemented
750	#450	C₂²×C₁₃	1	2	yes	complemented
751	#450	C₂²×C₁₃	1	2	yes	complemented
752	#449	C₂²×C₁₃	1	2	yes	complemented
753	#449	C₂²×C₁₃	1	2	yes	complemented
754	#449	C₂²×C₁₃	1	2	yes	complemented
755	#449	C₂²×C₁₃	1	2	yes	complemented
756	#448	C₂²×C₁₃	1	2	yes	complemented
757	#447	C₂²×C₁₃	1	2	yes	complemented
758	#447	C₂²×C₁₃	1	2	yes	complemented
759	#447	C₂²×C₁₃	1	2	yes	complemented
760	#442	C₂²×C₁₃	1	2	yes	complemented
761	#440	C₂²×C₁₃	1	2	yes	complemented
762	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
763	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
764	#436	C₂²×C₁₃	1	2	yes	complemented
765	#435	C₂²×C₁₃	1	2	yes	complemented
766	#435	C₂²×C₁₃	1	2	yes	complemented
767	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
768	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
770	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
771	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
776	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
777	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
778	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
779	C₂²×C₁₃	—	2	1	no	—
780	C₂²×C₁₃	—	2	1	no	—
781	C₂²×C₁₃	—	2	2	no	—
782	C₂²×C₁₃	—	2	2	no	—
783	C₂²×C₁₃	—	2	2	no	—
784	C₂²×C₁₃	—	2	2	no	—
785	C₂²×C₁₃	—	2	2	no	—
786	C₂²×C₁₃	—	2	2	no	—
787	C₂²×C₁₃	—	2	2	no	—
788	C₂²×C₁₃	—	2	4	no	—
789	C₂²×C₁₃	—	4	1	no	—
790	C₂²×C₁₃	—	4	2	no	—
791	C₂²×C₁₃	—	4	2	no	—
792	C₂²×C₁₃	—	4	1	no	—
793	C₂²×C₁₃	—	4	1	no	—
794	C₂²×C₁₃	—	4	1	no	—
795	C₂²×C₁₃	—	4	2	no	—
796	C₂²×C₁₃	—	4	1	no	—
797	C₂²×C₁₃	—	4	1	no	—
798	C₂²×C₁₃	—	4	2	no	—
799	C₂²×C₁₃	—	4	2	no	—
800	C₂²×C₁₃	—	4	1	no	—
801	C₂²×C₁₃	—	4	1	no	—
802	C₂²×C₁₃	—	8	4	no	—
803	C₂²×C₁₃	—	16	2	no	—
804	C₂²×C₁₃	—	16	4	no	—
805	C₂²×C₁₃	—	16	4	no	—
806	C₂²×C₁₃	—	16	4	no	—
807	C₂²×C₁₃	D₄²	1	2	yes	—
808	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
809	C₄×C₁₃	—	2	1	no	—
810	C₄×C₁₃	—	2	1	no	—
811	C₄×C₁₃	—	2	1	no	—
812	C₄×C₁₃	—	2	1	no	—
813	C₄×C₁₃	—	2	2	no	—
814	C₄×C₁₃	—	2	2	no	—
815	C₄×C₁₃	—	2	2	no	—
816	C₄×C₁₃	—	4	1	no	—
817	C₄×C₁₃	—	4	2	no	—
818	C₄×C₁₃	—	4	1	no	—
819	C₄×C₁₃	—	4	1	no	—
820	C₄×C₁₃	—	4	1	no	—
821	C₄×C₁₃	—	4	2	no	—
822	C₄×C₁₃	D₄²	1	2	yes	—
823	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
824	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
825	2₋¹⁺⁴	—	2	4	no	—
826	2₋¹⁺⁴	—	4	2	no	—
827	H(5,𝔽₂)	—	2	4	no	—
828	H(5,𝔽₂)	—	2	4	no	—
829	H(5,𝔽₂)	—	2	4	no	—
830	H(5,𝔽₂)	—	4	2	no	—
831	H(5,𝔽₂)	—	4	2	no	—
832	H(5,𝔽₂)	—	4	2	no	—
833	C₂×#41	—	2	1	no	—
834	C₂×#41	—	2	1	no	—
835	C₂×#41	—	2	1	no	—
836	C₂×#41	—	2	1	no	—
837	C₂×#41	—	2	2	no	—
838	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
839	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
840	C₂×#41	C₂³×C₁₃	1	2	yes	—
841	C₂×#41	C₂³×C₁₃	1	2	yes	—
842	C₂×#41	C₂³×C₁₃	1	2	yes	—
843	C₂×#41	C₂³×C₁₃	1	2	yes	—
844	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
845	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
846	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
847	C₂²×Q₈	—	2	1	no	—
848	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
850	C₂²×D₄	—	2	2	no	—
851	C₂²×D₄	—	2	2	no	—
852	C₂²×D₄	—	2	1	no	—
853	C₂²×D₄	—	2	1	no	—
854	C₂²×D₄	—	2	1	no	—
855	C₂²×D₄	—	2	2	no	—
856	C₂²×D₄	—	2	2	no	—
857	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
858	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
859	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
860	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
861	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
862	C₂³×C₄	—	2	1	no	—
863	#137	—	2	8	no	—
864	#137	—	2	4	no	—
865	#137	—	4	2	no	—
866	AGL(1,ℤ/8)	—	2	8	no	—
867	AGL(1,ℤ/8)	—	2	8	no	—
868	AGL(1,ℤ/8)	—	2	8	no	—
869	AGL(1,ℤ/8)	—	2	4	no	—
870	AGL(1,ℤ/8)	—	4	2	no	—
871	AGL(1,ℤ/8)	D₄×C₁₃	1	8	yes	complemented
872	#135	—	2	4	no	—
873	#135	—	2	4	no	—
874	#135	—	2	8	no	—
875	#135	—	2	8	no	—
876	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
877	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
878	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
879	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
880	C₂×SD₁₆	—	2	4	no	—
881	C₂×SD₁₆	—	2	8	no	—
882	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
883	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
884	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
885	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
886	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
887	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
888	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
889	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
890	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
891	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
892	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
893	C₂×D₈	—	2	4	no	—
894	C₂×D₈	—	2	8	no	—
895	C₂×D₈	C₂³×C₁₃	1	2	yes	—
896	C₂×D₈	C₂³×C₁₃	1	2	yes	—
897	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
898	C₂×D₈	C₂³×C₁₃	1	2	yes	—
899	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
900	C₂×D₈	C₂³×C₁₃	1	2	yes	—
901	C₂×D₈	C₂³×C₁₃	1	2	yes	—
902	#131	—	2	4	no	—
903	#131	—	2	4	no	—
904	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
905	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
906	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
907	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
908	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
909	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
910	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
911	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
912	C₄⋊Q₈	—	2	1	no	—
913	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
914	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
915	#127	—	2	1	no	—
916	#127	D₄×C₁₃	1	1	yes	characteristic
917	#127	C₂³×C₁₃	1	1	yes	characteristic
918	#124	—	2	1	no	—
919	#124	—	2	1	no	—
920	#124	—	2	2	no	—
921	#124	—	2	2	no	—
922	#124	—	2	1	no	—
923	#124	—	2	1	no	—
924	#124	D₄×C₁₃	1	1	yes	characteristic
925	#124	D₄×C₁₃	1	1	yes	characteristic
926	#124	C₂³×C₁₃	1	2	yes	—
927	#124	C₂³×C₁₃	1	2	yes	—
928	#124	C₂³×C₁₃	1	1	yes	characteristic
929	#124	C₂³×C₁₃	1	1	yes	characteristic
930	#123	—	2	2	no	—
931	#123	—	2	2	no	—
932	#123	—	2	2	no	—
933	#123	—	2	2	no	—
934	#123	—	2	2	no	—
935	#123	—	2	2	no	—
936	#123	—	2	2	no	—
937	C₂²⋊Q₈	—	2	1	no	—
938	C₂²⋊Q₈	—	2	1	no	—
939	C₂²⋊Q₈	—	2	2	no	—
940	C₂²⋊Q₈	—	2	2	no	—
941	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
942	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
943	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
944	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
945	#121	—	2	2	no	—
946	#121	—	2	2	no	—
947	#121	—	2	2	no	—
948	#121	—	2	2	no	—
949	#121	—	2	2	no	—
950	#121	—	2	1	no	—
951	#121	—	2	1	no	—
952	#121	—	2	1	no	—
953	#121	—	2	1	no	—
954	#121	—	2	2	no	—
955	#121	—	2	2	no	—
956	#121	—	2	2	no	—
957	#121	—	2	2	no	—
958	#121	—	2	2	no	—
959	#121	D₄×C₁₃	1	2	yes	—
960	#121	D₄×C₁₃	1	2	yes	—
961	#121	C₂³×C₁₃	1	2	yes	—
962	#121	C₂³×C₁₃	1	2	yes	—
963	#121	C₂³×C₁₃	1	2	yes	—
964	#121	C₂³×C₁₃	1	2	yes	—
965	#120	—	2	2	no	—
966	#120	—	2	2	no	—
967	#120	—	2	2	no	—
968	#120	—	2	2	no	—
969	#120	—	2	2	no	—
970	#120	—	2	2	no	—
971	#120	—	2	2	no	—
972	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
973	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
974	C₄×D₄	—	2	1	no	—
975	C₄×D₄	—	2	1	no	—
976	C₄×D₄	—	2	2	no	—
977	C₄×D₄	—	2	2	no	—
978	C₄×D₄	—	2	1	no	—
979	C₄×D₄	—	2	1	no	—
980	C₄×D₄	—	2	1	no	—
981	C₄×D₄	—	2	1	no	—
982	C₄×D₄	C₂³×C₁₃	1	2	yes	—
983	C₄×D₄	C₂³×C₁₃	1	2	yes	—
984	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
985	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
986	C₄×D₄	C₂³×C₁₃	1	2	yes	—
987	C₄×D₄	C₂³×C₁₃	1	2	yes	—
988	#117	—	2	1	no	—
989	#117	C₂³×C₁₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	—	2	2	no	—
991	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	—	2	1	no	—
993	C₂×C₂²⋊C₄	—	2	1	no	—
994	C₂×C₂²⋊C₄	—	2	1	no	—
995	C₂×C₂²⋊C₄	—	2	2	no	—
996	C₂×C₂²⋊C₄	—	2	2	no	—
997	C₂×C₂²⋊C₄	—	2	2	no	—
998	C₂×C₂²⋊C₄	—	2	2	no	—
999	C₂×C₄²	—	2	1	no	—
1000	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1001	#107	C₂³×C₁₃	1	2	yes	—
1002	#106	C₂³×C₁₃	1	2	yes	—
1003	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1004	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1005	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1006	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1007	#103	C₂³×C₁₃	1	2	yes	—
1008	#103	C₂³×C₁₃	1	2	yes	—
1009	#103	C₂³×C₁₃	1	1	yes	characteristic
1010	#103	C₂³×C₁₃	1	1	yes	characteristic
1011	#103	C₂³×C₁₃	1	1	yes	characteristic
1012	#103	C₂³×C₁₃	1	1	yes	characteristic
1013	#103	C₂³×C₁₃	1	2	yes	—
1014	#102	C₂³×C₁₃	1	2	yes	—
1015	#102	C₂³×C₁₃	1	2	yes	—
1016	#102	C₂³×C₁₃	1	1	yes	characteristic
1017	#102	C₂³×C₁₃	1	1	yes	characteristic
1018	#102	C₂³×C₁₃	1	1	yes	characteristic
1019	#102	C₂³×C₁₃	1	1	yes	characteristic
1020	#102	C₂³×C₁₃	1	2	yes	—
1021	#102	C₂³×C₁₃	1	2	yes	—
1022	#102	C₂³×C₁₃	1	2	yes	—
1023	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1024	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1025	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1026	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1027	#97	C₂³×C₁₃	1	2	yes	—
1028	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1029	C₂×C₁₃	—	2	2	no	—
1030	C₂×C₁₃	—	4	2	no	—
1031	C₂×C₁₃	—	4	2	no	—
1032	C₂×C₁₃	—	4	4	no	—
1033	C₂×C₁₃	—	4	2	no	—
1034	C₂×C₁₃	—	8	1	no	—
1035	C₂×C₁₃	—	8	1	no	—
1036	C₂×C₁₃	—	8	2	no	—
1037	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1038	C₂×C₁₃	#3584	1	1	yes	characteristic
1039	C₂×C₁₃	#3585	1	1	yes	characteristic
1040	C₂⁴	—	2	1	no	—
1041	C₂⁴	—	2	2	no	—
1042	C₂⁴	—	2	1	no	—
1043	C₂⁴	—	2	2	no	—
1044	C₂⁴	—	2	2	no	—
1045	#41	—	2	2	no	—
1046	#41	—	2	2	no	—
1047	#41	—	2	2	no	—
1048	#41	—	2	2	no	—
1049	#41	—	2	2	no	—
1050	#41	—	2	4	no	—
1051	#41	—	2	4	no	—
1052	#41	—	2	4	no	—
1053	#41	—	2	4	no	—
1054	#41	—	2	2	no	—
1055	#41	—	2	2	no	—
1056	#41	—	2	2	no	—
1057	#41	—	2	2	no	—
1058	#41	—	4	2	no	—
1059	#41	—	4	2	no	—
1060	#41	—	4	2	no	—
1061	#41	—	4	2	no	—
1062	#41	—	4	4	no	—
1063	#41	—	4	4	no	—
1064	#41	—	4	8	no	—
1065	#41	—	4	4	no	—
1066	#41	—	4	4	no	—
1067	#41	C₂×D₄×C₁₃	1	4	yes	complemented
1068	C₂×Q₈	—	2	2	no	—
1069	C₂×Q₈	—	2	1	no	—
1070	C₂×Q₈	—	2	4	no	—
1071	C₂×Q₈	—	2	2	no	—
1072	C₂×Q₈	—	2	2	no	—
1073	C₂×Q₈	—	4	2	no	—
1074	C₂×Q₈	—	4	4	no	—
1075	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1076	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1077	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1078	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1079	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1080	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1081	C₂×D₄	—	2	1	no	—
1082	C₂×D₄	—	2	4	no	—
1083	C₂×D₄	—	2	4	no	—
1084	C₂×D₄	—	2	4	no	—
1085	C₂×D₄	—	2	2	no	—
1086	C₂×D₄	—	2	2	no	—
1087	C₂×D₄	—	2	2	no	—
1088	C₂×D₄	—	2	1	no	—
1089	C₂×D₄	—	2	1	no	—
1090	C₂×D₄	—	2	2	no	—
1091	C₂×D₄	—	2	2	no	—
1092	C₂×D₄	—	2	2	no	—
1093	C₂×D₄	—	2	2	no	—
1094	C₂×D₄	—	2	2	no	—
1095	C₂×D₄	—	2	1	no	—
1096	C₂×D₄	—	2	2	no	—
1097	C₂×D₄	—	2	1	no	—
1098	C₂×D₄	—	2	2	no	—
1099	C₂×D₄	—	2	2	no	—
1100	C₂×D₄	—	2	2	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	2	1	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	4	2	no	—
1106	C₂×D₄	—	4	2	no	—
1107	C₂×D₄	—	4	2	no	—
1108	C₂×D₄	—	4	4	no	—
1109	C₂×D₄	—	4	8	no	—
1110	C₂×D₄	—	4	4	no	—
1111	C₂×D₄	—	4	4	no	—
1112	C₂×D₄	—	4	8	no	—
1113	C₂×D₄	—	4	8	no	—
1114	C₂×D₄	—	8	4	no	—
1115	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1116	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1117	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1118	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1119	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
1120	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1121	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1122	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1123	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1124	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1125	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1126	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	2	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	2	no	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	1	no	—
1136	C₂²×C₄	—	2	1	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	1	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	8	2	no	—
1142	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1145	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1146	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1147	Q₁₆	—	2	2	no	—
1148	Q₁₆	—	2	2	no	—
1149	Q₁₆	—	2	4	no	—
1150	Q₁₆	—	4	2	no	—
1151	SD₁₆	—	2	2	no	—
1152	SD₁₆	—	2	2	no	—
1153	SD₁₆	—	2	4	no	—
1154	SD₁₆	—	2	4	no	—
1155	SD₁₆	—	2	2	no	—
1156	SD₁₆	—	2	2	no	—
1157	SD₁₆	—	2	4	no	—
1158	SD₁₆	—	2	4	no	—
1159	SD₁₆	—	4	2	no	—
1160	SD₁₆	—	4	2	no	—
1161	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
1162	D₈	—	2	2	no	—
1163	D₈	—	2	4	no	—
1164	D₈	—	2	4	no	—
1165	D₈	—	2	2	no	—
1166	D₈	—	2	4	no	—
1167	D₈	—	4	2	no	—
1168	D₈	C₂×D₄×C₁₃	1	8	yes	complemented
1169	M₁₆	—	2	2	no	—
1170	M₁₆	—	2	4	no	—
1171	M₁₆	—	2	4	no	—
1172	M₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
1173	C₂×C₈	—	2	2	no	—
1174	C₂×C₈	—	2	2	no	—
1175	C₂×C₈	—	2	4	no	—
1176	C₂×C₈	—	2	4	no	—
1177	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1178	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1179	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1180	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1181	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1182	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1183	C₄⋊C₄	—	2	1	no	—
1184	C₄⋊C₄	—	2	2	no	—
1185	C₄⋊C₄	—	2	2	no	—
1186	C₄⋊C₄	—	2	1	no	—
1187	C₄⋊C₄	—	2	1	no	—
1188	C₄⋊C₄	—	2	1	no	—
1189	C₄⋊C₄	—	2	2	no	—
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	2	1	no	—
1192	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1193	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1194	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1195	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1196	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	—	2	2	no	—
1199	C₂²⋊C₄	—	2	2	no	—
1200	C₂²⋊C₄	—	2	2	no	—
1201	C₂²⋊C₄	—	2	1	no	—
1202	C₂²⋊C₄	—	2	1	no	—
1203	C₂²⋊C₄	—	2	1	no	—
1204	C₂²⋊C₄	—	2	2	no	—
1205	C₂²⋊C₄	—	2	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	1	no	—
1215	C₂²⋊C₄	—	2	1	no	—
1216	C₂²⋊C₄	—	2	1	no	—
1217	C₂²⋊C₄	—	2	1	no	—
1218	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1219	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1220	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1221	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1222	C₄²	—	2	1	no	—
1223	C₄²	—	2	1	no	—
1224	C₄²	—	2	1	no	—
1225	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1226	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1227	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1228	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1229	C₁₃	#61092	1	1	yes	characteristic, direct product factor, Sylow
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	4	no	—
1233	C₂³	—	2	2	no	—
1234	C₂³	—	2	1	no	—
1235	C₂³	—	2	1	no	—
1236	C₂³	—	4	4	no	—
1237	C₂³	—	4	4	no	—
1238	C₂³	—	4	4	no	—
1239	C₂³	—	4	2	no	—
1240	C₂³	—	8	1	no	—
1241	C₂³	—	8	1	no	—
1242	C₂³	—	8	2	no	—
1243	C₂³	—	8	2	no	—
1244	C₂³	—	8	1	no	—
1245	C₂³	—	8	1	no	—
1246	C₂³	—	8	2	no	—
1247	C₂³	—	8	2	no	—
1248	C₂³	—	8	2	no	—
1249	C₂³	—	8	2	no	—
1250	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1251	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1252	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1253	Q₈	—	2	2	no	—
1254	Q₈	—	2	2	no	—
1255	Q₈	—	2	1	no	—
1256	Q₈	—	2	2	no	—
1257	Q₈	—	2	1	no	—
1258	Q₈	—	2	1	no	—
1259	Q₈	—	2	1	no	—
1260	Q₈	—	2	2	no	—
1261	Q₈	—	2	1	no	—
1262	Q₈	—	4	4	no	—
1263	Q₈	—	4	2	no	—
1264	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1265	D₄	—	2	4	no	—
1266	D₄	—	2	4	no	—
1267	D₄	—	2	4	no	—
1268	D₄	—	2	4	no	—
1269	D₄	—	2	2	no	—
1270	D₄	—	2	2	no	—
1271	D₄	—	2	2	no	—
1272	D₄	—	2	1	no	—
1273	D₄	—	2	1	no	—
1274	D₄	—	2	2	no	—
1275	D₄	—	2	1	no	—
1276	D₄	—	2	1	no	—
1277	D₄	—	2	2	no	—
1278	D₄	—	2	1	no	—
1279	D₄	—	4	2	no	—
1280	D₄	—	4	2	no	—
1281	D₄	—	4	4	no	—
1282	D₄	—	4	4	no	—
1283	D₄	—	4	4	no	—
1284	D₄	—	4	4	no	—
1285	D₄	—	4	2	no	—
1286	D₄	—	4	4	no	—
1287	D₄	—	4	4	no	—
1288	D₄	—	4	4	no	—
1289	D₄	—	4	2	no	—
1290	D₄	—	4	2	no	—
1291	D₄	—	4	2	no	—
1292	D₄	—	8	1	no	—
1293	D₄	—	8	2	no	—
1294	D₄	—	8	2	no	—
1295	D₄	—	8	2	no	—
1296	D₄	—	8	2	no	—
1297	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1298	D₄	C₂²×D₄×C₁₃	1	4	yes	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	4	1	no	—
1312	C₂×C₄	—	4	1	no	—
1313	C₂×C₄	—	4	4	no	—
1314	C₂×C₄	—	4	4	no	—
1315	C₂×C₄	—	4	4	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	2	no	—
1320	C₂×C₄	—	4	2	no	—
1321	C₂×C₄	—	4	2	no	—
1322	C₂×C₄	—	8	2	no	—
1323	C₂×C₄	—	8	1	no	—
1324	C₂×C₄	—	8	1	no	—
1325	C₂×C₄	—	8	1	no	—
1326	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1327	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1328	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1329	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1330	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1331	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1332	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1333	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1334	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1335	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1336	C₈	—	2	1	no	—
1337	C₈	—	2	1	no	—
1338	C₈	—	2	1	no	—
1339	C₈	—	2	1	no	—
1340	C₈	—	2	2	no	—
1341	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1342	C₂²	—	2	1	no	—
1343	C₂²	—	2	1	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	4	no	—
1352	C₂²	—	4	1	no	—
1353	C₂²	—	4	2	no	—
1354	C₂²	—	4	2	no	—
1355	C₂²	—	4	1	no	—
1356	C₂²	—	4	1	no	—
1357	C₂²	—	4	1	no	—
1358	C₂²	—	4	2	no	—
1359	C₂²	—	4	1	no	—
1360	C₂²	—	4	1	no	—
1361	C₂²	—	4	2	no	—
1362	C₂²	—	4	2	no	—
1363	C₂²	—	4	1	no	—
1364	C₂²	—	4	1	no	—
1365	C₂²	—	8	4	no	—
1366	C₂²	—	16	2	no	—
1367	C₂²	—	16	4	no	—
1368	C₂²	—	16	4	no	—
1369	C₂²	—	16	4	no	—
1370	C₂²	D₄²×C₁₃	1	2	yes	—
1371	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1372	C₄	—	2	1	no	—
1373	C₄	—	2	1	no	—
1374	C₄	—	2	1	no	—
1375	C₄	—	2	1	no	—
1376	C₄	—	2	2	no	—
1377	C₄	—	2	2	no	—
1378	C₄	—	2	2	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	2	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	2	no	—
1385	C₄	D₄²×C₁₃	1	2	yes	—
1386	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1387	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1388	C₂	—	2	2	no	—
1389	C₂	—	4	2	no	—
1390	C₂	—	4	2	no	—
1391	C₂	—	4	4	no	—
1392	C₂	—	4	2	no	—
1393	C₂	—	8	1	no	—
1394	C₂	—	8	1	no	—
1395	C₂	—	8	2	no	—
1396	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1397	C₂	C₁₃×#3584	1	1	yes	characteristic
1398	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×#532 ◁ 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×#576	C₂	semidirect
3. C₁₃×#3500	C₂	semidirect
4. C₁₃×#3496	C₂	semidirect
5. C₁₃×#3282	C₂	semidirect
6. C₁₃×#3280	C₂	semidirect
7. C₁₃×#3275	C₂	semidirect
8. C₁₃×#3273	C₂	semidirect
9. C₁₃×#3269	C₂	semidirect
10. C₁₃×#3267	C₂	semidirect
11. C₁₃×#3265	C₂	semidirect
12. C₁₃×#3264	C₂	semidirect
13. C₁₃×#3153	C₂	semidirect
14. C₁₃×#3063	C₂	semidirect
15. C₁₃×#3062	C₂	semidirect
16. C₁₃×#3035	C₂	semidirect
17. C₂×C₁₃×#463	C₂	semidirect
18. C₁₃×#3013	C₂	semidirect
19. C₁₃×#3012	C₂	semidirect
20. C₁₃×#3009	C₂	semidirect
21. C₁₃×#3008	C₂	semidirect
22. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
23. C₁₃×#2935	C₂	semidirect
24. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
26. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
27. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
30. C₂×C₁₃×#137	C₂²	semidirect
31. C₂×C₁₃×#137	C₂²	semidirect
32. 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. C₂×C₁₃×#135	C₂²	semidirect
43. C₂²×C₁₃×SD₁₆	C₂²	semidirect
44. C₂²×C₁₃×SD₁₆	C₂²	semidirect
46. C₂²×C₁₃×D₈	C₂²	semidirect
47. C₂×C₁₃×#131	C₂²	semidirect
48. C₂×C₁₃×#131	C₂²	semidirect
49. C₁₃×#548	C₂²	semidirect
50. C₁₃×#548	C₂²	semidirect
52. C₁₃×#547	C₂²	semidirect
57. C₁₃×#546	C₂²	semidirect
58. C₁₃×#546	C₂²	semidirect
59. C₁₃×#546	C₂²	semidirect
60. C₁₃×#546	C₂²	semidirect
62. D₄²×C₁₃	C₂²	semidirect
64. C₁₃×#537	C₂²	semidirect
66. C₁₃×#536	C₂²	semidirect
68. C₁₃×#535	C₂²	semidirect
72. C₁₃×#532	C₂²	semidirect
74. C₂×C₁₃×#124	C₂²	semidirect
76. C₄×C₁₃×#41	C₂²	semidirect
77. C₂×C₄×D₄×C₁₃	C₂²	semidirect
78. C₁₃×#497	C₂²	semidirect
79. C₁₃×#496	C₂²	semidirect
80. C₁₃×#495	C₂²	semidirect
81. C₁₃×#495	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×#464	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₁₃×#463	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×#450	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×#447	C₂²	semidirect
116. C₁₃×#447	C₂²	semidirect
117. C₁₃×#447	C₂²	semidirect
118. C₁₃×#442	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
121. C₄×C₁₃×D₈	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
125. C₈×D₄×C₁₃	C₂²	semidirect
126. C₁₃×#428	C₂²	semidirect
127. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
128. C₁₃×#418	C₂²	semidirect
129. C₁₃×#417	C₂²	semidirect
130. C₁₃×#416	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
132. C₂×C₁₃×#103	C₂²	semidirect
133. C₂×C₁₃×#102	C₂²	semidirect
134. C₁₃×#408	C₂²	semidirect
135. C₁₃×#408	C₂²	semidirect
136. C₄×C₁₃×M₁₆	C₂²	semidirect
183. C₁₃×AGL(1,ℤ/8)	D₄	semidirect
341. #61092	C₁₃	direct (N × H)
369. C₁₃×#41	C₂×D₄	semidirect
463. C₁₃×SD₁₆	C₂×D₄	semidirect
470. C₁₃×D₈	C₂×D₄	semidirect
474. C₁₃×M₁₆	C₂×D₄	semidirect
531. C₂×#577	C₂×C₁₃	semidirect
532. C₂×#576	C₂×C₁₃	semidirect
533. #3500	C₂×C₁₃	semidirect
534. #3496	C₂×C₁₃	semidirect
535. #3282	C₂×C₁₃	semidirect
536. #3280	C₂×C₁₃	semidirect
537. #3275	C₂×C₁₃	semidirect
538. #3273	C₂×C₁₃	semidirect
539. #3269	C₂×C₁₃	semidirect
540. #3267	C₂×C₁₃	semidirect
541. #3265	C₂×C₁₃	semidirect
542. #3264	C₂×C₁₃	semidirect
543. #3153	C₂×C₁₃	semidirect
544. #3063	C₂×C₁₃	semidirect
545. #3062	C₂×C₁₃	semidirect
546. #3035	C₂×C₁₃	semidirect
547. C₂×#463	C₂×C₁₃	semidirect
548. #3013	C₂×C₁₃	semidirect
549. #3012	C₂×C₁₃	semidirect
550. #3009	C₂×C₁₃	semidirect
551. #3008	C₂×C₁₃	semidirect
552. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
553. #2935	C₂×C₁₃	semidirect
666. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
668. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
669. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
672. C₂×#137	C₂²×C₁₃	semidirect
673. C₂×#137	C₂²×C₁₃	semidirect
674. C₂×#137	C₂²×C₁₃	semidirect
676. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
677. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
678. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
679. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
680. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
681. C₂×#135	C₂²×C₁₃	semidirect
682. C₂×#135	C₂²×C₁₃	semidirect
683. C₂×#135	C₂²×C₁₃	semidirect
684. C₂×#135	C₂²×C₁₃	semidirect
685. C₂²×SD₁₆	C₂²×C₁₃	semidirect
686. C₂²×SD₁₆	C₂²×C₁₃	semidirect
688. C₂²×D₈	C₂²×C₁₃	semidirect
689. C₂×#131	C₂²×C₁₃	semidirect
690. C₂×#131	C₂²×C₁₃	semidirect
691. #548	C₂²×C₁₃	semidirect
692. #548	C₂²×C₁₃	semidirect
694. #547	C₂²×C₁₃	semidirect
699. #546	C₂²×C₁₃	semidirect
700. #546	C₂²×C₁₃	semidirect
701. #546	C₂²×C₁₃	semidirect
702. #546	C₂²×C₁₃	semidirect
704. D₄²	C₂²×C₁₃	semidirect
706. #537	C₂²×C₁₃	semidirect
708. #536	C₂²×C₁₃	semidirect
710. #535	C₂²×C₁₃	semidirect
714. #532	C₂²×C₁₃	semidirect
716. C₂×#124	C₂²×C₁₃	semidirect
718. C₄×#41	C₂²×C₁₃	semidirect
719. C₂×C₄×D₄	C₂²×C₁₃	semidirect
720. #497	C₂²×C₁₃	semidirect
721. #496	C₂²×C₁₃	semidirect
722. #495	C₂²×C₁₃	semidirect
723. #495	C₂²×C₁₃	semidirect
724. #470	C₂²×C₁₃	semidirect
725. #469	C₂²×C₁₃	semidirect
726. #468	C₂²×C₁₃	semidirect
727. #468	C₂²×C₁₃	semidirect
728. #467	C₂²×C₁₃	semidirect
729. #466	C₂²×C₁₃	semidirect
730. #465	C₂²×C₁₃	semidirect
731. #465	C₂²×C₁₃	semidirect
732. #464	C₂²×C₁₃	semidirect
733. #464	C₂²×C₁₃	semidirect
734. #463	C₂²×C₁₃	semidirect
735. #463	C₂²×C₁₃	semidirect
736. #463	C₂²×C₁₃	semidirect
737. #463	C₂²×C₁₃	semidirect
738. #463	C₂²×C₁₃	semidirect
739. #463	C₂²×C₁₃	semidirect
740. #462	C₂²×C₁₃	semidirect
741. #461	C₂²×C₁₃	semidirect
742. #460	C₂²×C₁₃	semidirect
743. #459	C₂²×C₁₃	semidirect
744. #452	C₂²×C₁₃	semidirect
745. #452	C₂²×C₁₃	semidirect
746. #452	C₂²×C₁₃	semidirect
747. #452	C₂²×C₁₃	semidirect
748. #451	C₂²×C₁₃	semidirect
749. #450	C₂²×C₁₃	semidirect
750. #450	C₂²×C₁₃	semidirect
751. #450	C₂²×C₁₃	semidirect
752. #449	C₂²×C₁₃	semidirect
753. #449	C₂²×C₁₃	semidirect
754. #449	C₂²×C₁₃	semidirect
755. #449	C₂²×C₁₃	semidirect
756. #448	C₂²×C₁₃	semidirect
757. #447	C₂²×C₁₃	semidirect
758. #447	C₂²×C₁₃	semidirect
759. #447	C₂²×C₁₃	semidirect
760. #442	C₂²×C₁₃	semidirect
761. #440	C₂²×C₁₃	semidirect
762. C₄×SD₁₆	C₂²×C₁₃	semidirect
763. C₄×D₈	C₂²×C₁₃	semidirect
764. #436	C₂²×C₁₃	semidirect
765. #435	C₂²×C₁₃	semidirect
766. #435	C₂²×C₁₃	semidirect
767. C₈×D₄	C₂²×C₁₃	semidirect
768. #428	C₂²×C₁₃	semidirect
769. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
770. #418	C₂²×C₁₃	semidirect
771. #417	C₂²×C₁₃	semidirect
772. #416	C₂²×C₁₃	semidirect
773. #416	C₂²×C₁₃	semidirect
774. C₂×#103	C₂²×C₁₃	semidirect
775. C₂×#102	C₂²×C₁₃	semidirect
776. #408	C₂²×C₁₃	semidirect
777. #408	C₂²×C₁₃	semidirect
778. C₄×M₁₆	C₂²×C₁₃	semidirect
871. AGL(1,ℤ/8)	D₄×C₁₃	semidirect
1067. #41	C₂×D₄×C₁₃	semidirect
1161. SD₁₆	C₂×D₄×C₁₃	semidirect
1168. D₈	C₂×D₄×C₁₃	semidirect
1172. M₁₆	C₂×D₄×C₁₃	semidirect
1229. C₁₃	#61092	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×#576	2
C₁₃×#3500	2
C₁₃×#3496	2
C₁₃×#3282	2
C₁₃×#3280	2
C₁₃×#3275	2
C₁₃×#3273	2
C₁₃×#3269	2
C₁₃×#3267	2
C₁₃×#3265	2
C₁₃×#3264	2
C₁₃×#3153	2
C₁₃×#3063	2
C₁₃×#3062	2
C₁₃×#3035	2
C₂×C₁₃×#463	2
C₁₃×#3013	2
C₁₃×#3012	2
C₁₃×#3009	2
C₁₃×#3008	2
C₄×C₁₃×AGL(1,ℤ/8)	2
C₁₃×#2935	2
#61092	13

Subgroups — C13×#61092 #15747431

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61092 #15747431