Subgroups — C₁₃×#62064 #15748403

Order 3328.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3322	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3300	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3280	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×C₁₃×D₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3273	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3262	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3041	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2994	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
37	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#562	—	2	1	no	—
39	C₁₃×H(3,𝔽₄)	—	2	1	no	—
40	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#553	—	2	1	no	—
45	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#551	—	2	1	no	—
48	C₁₃×#551	—	2	1	no	—
49	C₁₃×#548	C₂²	1	1	yes	characteristic
50	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#546	—	2	1	no	—
53	C₁₃×#546	—	2	1	no	—
54	C₁₃×#546	—	2	1	no	—
55	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
59	D₄²×C₁₃	C₂²	1	1	yes	characteristic
60	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
61	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#539	—	2	1	no	—
67	C₁₃×#538	—	2	1	no	—
68	C₁₃×#538	—	2	1	no	—
69	C₁₃×#538	—	2	1	no	—
70	C₁₃×#538	—	2	1	no	—
71	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#534	—	2	1	no	—
74	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#529	C₂²	1	1	yes	characteristic
76	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#525	—	2	1	no	—
79	C₂×C₁₃×#123	—	2	1	no	—
80	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#493	C₂²	1	1	yes	characteristic
89	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#466	C₂²	1	1	yes	characteristic
117	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#459	C₂²	1	1	yes	characteristic
147	C₁₃×#459	C₂²	1	1	yes	characteristic
148	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#449	C₂²	1	1	yes	characteristic
160	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
162	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
163	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
164	C₁₃×#447	C₂²	1	1	yes	characteristic
165	C₁₃×#447	C₂²	1	1	yes	characteristic
166	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
171	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
172	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
173	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
175	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
186	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
189	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
190	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
198	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
199	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₁₃	—	2	1	no	—
210	C₂²×D₄×C₁₃	—	2	1	no	—
211	C₂²×D₄×C₁₃	—	2	1	no	—
212	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
216	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₁₃	—	2	1	no	—
218	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
219	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
220	C₁₃×#135	—	4	2	no	—
221	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	—	4	2	no	—
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×D₈	—	4	2	no	—
235	C₂×C₁₃×D₈	—	4	2	no	—
236	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×#127	C₂³	1	1	yes	characteristic
257	C₁₃×#127	C₂³	1	1	yes	characteristic
258	C₁₃×#127	C₂³	1	1	yes	characteristic
259	C₁₃×#127	C₂³	1	1	yes	characteristic
260	C₁₃×#126	—	2	1	no	—
261	C₁₃×#126	—	2	1	no	—
262	C₁₃×#126	—	2	1	no	—
263	C₁₃×#126	—	2	1	no	—
264	C₁₃×#126	—	2	1	no	—
265	C₁₃×#126	—	2	1	no	—
266	C₁₃×#126	D₄	1	1	yes	characteristic
267	C₁₃×#126	D₄	1	1	yes	characteristic
268	C₁₃×#125	—	2	1	no	—
269	C₁₃×#125	D₄	1	1	yes	characteristic
270	C₁₃×#125	C₂³	1	1	yes	characteristic
271	C₁₃×#125	C₂³	1	1	yes	characteristic
272	C₁₃×#124	—	2	1	no	—
273	C₁₃×#124	—	2	1	no	—
274	C₁₃×#124	—	2	1	no	—
275	C₁₃×#124	—	2	1	no	—
276	C₁₃×#124	—	2	1	no	—
277	C₁₃×#124	—	2	1	no	—
278	C₁₃×#124	—	2	1	no	—
279	C₁₃×#124	—	2	1	no	—
280	C₁₃×#124	—	2	1	no	—
281	C₁₃×#124	—	2	1	no	—
282	C₁₃×#124	—	2	1	no	—
283	C₁₃×#124	D₄	1	1	yes	characteristic
284	C₁₃×#124	C₂³	1	1	yes	characteristic
285	C₁₃×#124	C₂³	1	1	yes	characteristic
286	C₁₃×#124	C₂³	1	1	yes	characteristic
287	C₁₃×#124	C₂³	1	1	yes	characteristic
288	C₁₃×#124	C₂³	1	1	yes	characteristic
289	C₁₃×#124	C₂³	1	1	yes	characteristic
290	C₁₃×#124	C₂³	1	1	yes	characteristic
291	C₁₃×#124	C₂³	1	1	yes	characteristic
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	—	2	1	no	—
294	C₁₃×#123	—	2	1	no	—
295	C₁₃×#123	—	2	1	no	—
296	C₁₃×#123	—	2	1	no	—
297	C₁₃×#123	—	2	1	no	—
298	C₁₃×#123	—	2	1	no	—
299	C₁₃×#123	—	2	1	no	—
300	C₁₃×#123	—	2	1	no	—
301	C₁₃×#123	—	2	1	no	—
302	C₁₃×#123	—	2	1	no	—
303	C₁₃×#123	—	2	1	no	—
304	C₁₃×#123	—	2	1	no	—
305	C₁₃×#123	—	2	1	no	—
306	C₁₃×#123	—	2	1	no	—
307	C₁₃×#123	—	2	1	no	—
308	C₁₃×#123	—	2	1	no	—
309	C₁₃×#123	—	2	1	no	—
310	C₁₃×#123	—	2	1	no	—
311	C₁₃×#123	—	2	1	no	—
312	C₁₃×#123	D₄	1	1	yes	characteristic
313	C₁₃×#123	D₄	1	1	yes	characteristic
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	—	2	1	no	—
316	C₁₃×C₂²⋊Q₈	—	2	1	no	—
317	C₁₃×C₂²⋊Q₈	—	2	1	no	—
318	C₁₃×C₂²⋊Q₈	—	2	1	no	—
319	C₁₃×C₂²⋊Q₈	—	2	1	no	—
320	C₁₃×C₂²⋊Q₈	—	2	1	no	—
321	C₁₃×C₂²⋊Q₈	—	2	1	no	—
322	C₁₃×C₂²⋊Q₈	—	2	1	no	—
323	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
324	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
328	C₁₃×#121	—	2	1	no	—
329	C₁₃×#121	—	2	1	no	—
330	C₁₃×#121	—	2	1	no	—
331	C₁₃×#121	—	2	1	no	—
332	C₁₃×#121	—	2	1	no	—
333	C₁₃×#121	—	2	1	no	—
334	C₁₃×#121	—	2	1	no	—
335	C₁₃×#121	—	2	1	no	—
336	C₁₃×#121	—	2	1	no	—
337	C₁₃×#121	—	2	1	no	—
338	C₁₃×#121	—	2	1	no	—
339	C₁₃×#121	—	2	1	no	—
340	C₁₃×#121	—	2	1	no	—
341	C₁₃×#121	—	2	1	no	—
342	C₁₃×#121	—	2	1	no	—
343	C₁₃×#121	—	2	1	no	—
344	C₁₃×#121	—	2	1	no	—
345	C₁₃×#121	D₄	1	1	yes	characteristic
346	C₁₃×#121	C₂³	1	1	yes	characteristic
347	C₁₃×#121	C₂³	1	1	yes	characteristic
348	C₁₃×#121	C₂³	1	1	yes	characteristic
349	C₁₃×#121	C₂³	1	1	yes	characteristic
350	C₁₃×#121	C₂³	1	1	yes	characteristic
351	C₁₃×#121	C₂³	1	1	yes	characteristic
352	C₁₃×#121	C₂³	1	1	yes	characteristic
353	C₁₃×#121	C₂³	1	1	yes	characteristic
354	C₁₃×#120	—	2	1	no	—
355	C₁₃×#120	—	2	1	no	—
356	C₁₃×#120	—	2	1	no	—
357	C₁₃×#120	—	2	1	no	—
358	C₁₃×#120	—	2	1	no	—
359	C₁₃×#120	—	2	1	no	—
360	C₁₃×#120	—	2	1	no	—
361	C₁₃×#120	—	2	1	no	—
362	C₁₃×#120	—	2	1	no	—
363	C₁₃×#120	—	2	1	no	—
364	C₁₃×#120	—	2	1	no	—
365	C₁₃×#120	—	2	1	no	—
366	C₁₃×#120	—	2	1	no	—
367	C₁₃×#120	—	2	1	no	—
368	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₁₃	—	2	1	no	—
374	C₄×D₄×C₁₃	—	2	1	no	—
375	C₄×D₄×C₁₃	—	2	1	no	—
376	C₄×D₄×C₁₃	—	2	1	no	—
377	C₄×D₄×C₁₃	—	2	1	no	—
378	C₄×D₄×C₁₃	—	2	1	no	—
379	C₄×D₄×C₁₃	—	2	1	no	—
380	C₄×D₄×C₁₃	—	2	1	no	—
381	C₄×D₄×C₁₃	—	2	1	no	—
382	C₄×D₄×C₁₃	—	2	1	no	—
383	C₄×D₄×C₁₃	—	2	1	no	—
384	C₄×D₄×C₁₃	—	2	1	no	—
385	C₄×D₄×C₁₃	—	2	1	no	—
386	C₄×D₄×C₁₃	—	2	1	no	—
387	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
391	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
393	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
394	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
402	C₁₃×#117	—	2	1	no	—
403	C₁₃×#117	—	2	1	no	—
404	C₁₃×#117	—	2	1	no	—
405	C₁₃×#117	C₂³	1	1	yes	characteristic
406	C₁₃×#117	C₂³	1	1	yes	characteristic
407	C₁₃×#117	C₂³	1	1	yes	characteristic
408	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
411	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
417	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
420	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
422	C₁₃×#107	C₂³	1	1	yes	characteristic
423	C₁₃×#107	C₂³	1	1	yes	characteristic
424	C₁₃×#107	C₂³	1	1	yes	characteristic
425	C₁₃×#107	C₂³	1	1	yes	characteristic
426	C₁₃×#107	C₂³	1	1	yes	characteristic
427	C₁₃×#107	C₂³	1	1	yes	characteristic
428	C₁₃×#106	C₂³	1	1	yes	characteristic
429	C₁₃×#106	C₂³	1	1	yes	characteristic
430	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#102	C₂³	1	1	yes	characteristic
451	C₁₃×#102	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×#102	C₂³	1	1	yes	characteristic
466	C₁₃×#102	C₂³	1	1	yes	characteristic
467	C₁₃×#102	C₂³	1	1	yes	characteristic
468	C₁₃×#102	C₂³	1	1	yes	characteristic
469	C₁₃×#102	C₂³	1	1	yes	characteristic
470	C₁₃×#102	C₂³	1	1	yes	characteristic
471	C₁₃×#102	C₂³	1	1	yes	characteristic
472	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₁₃×#97	C₂³	1	1	yes	characteristic
479	C₁₃×#97	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
481	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
484	#62064	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂⁴×C₁₃	—	2	1	no	—
487	C₂⁴×C₁₃	—	2	1	no	—
488	C₂⁴×C₁₃	—	2	1	no	—
489	C₂⁴×C₁₃	—	2	1	no	—
490	C₁₃×#41	—	2	2	no	—
491	C₁₃×#41	—	4	1	no	—
492	C₁₃×#41	—	4	1	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	8	2	no	—
497	C₁₃×#41	—	8	2	no	—
498	C₂×Q₈×C₁₃	—	2	1	no	—
499	C₂×Q₈×C₁₃	—	2	1	no	—
500	C₂×Q₈×C₁₃	—	2	1	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	—	4	1	no	—
503	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	—	2	2	no	—
508	C₂×D₄×C₁₃	—	2	2	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	2	1	no	—
521	C₂×D₄×C₁₃	—	2	1	no	—
522	C₂×D₄×C₁₃	—	2	1	no	—
523	C₂×D₄×C₁₃	—	2	1	no	—
524	C₂×D₄×C₁₃	—	2	1	no	—
525	C₂×D₄×C₁₃	—	2	1	no	—
526	C₂×D₄×C₁₃	—	2	1	no	—
527	C₂×D₄×C₁₃	—	2	1	no	—
528	C₂×D₄×C₁₃	—	2	1	no	—
529	C₂×D₄×C₁₃	—	2	1	no	—
530	C₂×D₄×C₁₃	—	2	1	no	—
531	C₂×D₄×C₁₃	—	2	1	no	—
532	C₂×D₄×C₁₃	—	2	1	no	—
533	C₂×D₄×C₁₃	—	4	1	no	—
534	C₂×D₄×C₁₃	—	4	1	no	—
535	C₂×D₄×C₁₃	—	4	1	no	—
536	C₂×D₄×C₁₃	—	4	1	no	—
537	C₂×D₄×C₁₃	—	4	1	no	—
538	C₂×D₄×C₁₃	—	4	1	no	—
539	C₂×D₄×C₁₃	—	4	1	no	—
540	C₂×D₄×C₁₃	—	4	1	no	—
541	C₂×D₄×C₁₃	—	8	2	no	—
542	C₂×D₄×C₁₃	—	8	2	no	—
543	C₂×D₄×C₁₃	—	8	2	no	—
544	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
545	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
548	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₁₃	—	2	1	no	—
555	C₂²×C₄×C₁₃	—	2	1	no	—
556	C₂²×C₄×C₁₃	—	2	1	no	—
557	C₂²×C₄×C₁₃	—	2	1	no	—
558	C₂²×C₄×C₁₃	—	2	1	no	—
559	C₂²×C₄×C₁₃	—	2	1	no	—
560	C₂²×C₄×C₁₃	—	2	1	no	—
561	C₂²×C₄×C₁₃	—	2	1	no	—
562	C₂²×C₄×C₁₃	—	2	1	no	—
563	C₂²×C₄×C₁₃	—	2	1	no	—
564	C₂²×C₄×C₁₃	—	2	1	no	—
565	C₂²×C₄×C₁₃	—	2	1	no	—
566	C₂²×C₄×C₁₃	—	2	1	no	—
567	C₂²×C₄×C₁₃	—	2	1	no	—
568	C₂²×C₄×C₁₃	—	2	1	no	—
569	C₂²×C₄×C₁₃	—	2	1	no	—
570	C₂²×C₄×C₁₃	—	2	1	no	—
571	C₂²×C₄×C₁₃	—	2	1	no	—
572	C₂²×C₄×C₁₃	—	8	2	no	—
573	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
574	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
575	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₁₃×Q₁₆	—	4	1	no	—
579	C₁₃×Q₁₆	—	4	1	no	—
580	C₁₃×SD₁₆	—	2	2	no	—
581	C₁₃×SD₁₆	—	2	2	no	—
582	C₁₃×SD₁₆	—	4	1	no	—
583	C₁₃×SD₁₆	—	4	1	no	—
584	C₁₃×SD₁₆	—	4	1	no	—
585	C₁₃×SD₁₆	—	4	1	no	—
586	C₁₃×SD₁₆	—	4	1	no	—
587	C₁₃×SD₁₆	—	4	1	no	—
588	C₁₃×SD₁₆	—	4	1	no	—
589	C₁₃×SD₁₆	—	4	1	no	—
590	C₁₃×D₈	—	2	2	no	—
591	C₁₃×D₈	—	2	2	no	—
592	C₁₃×D₈	—	2	2	no	—
593	C₁₃×D₈	—	2	2	no	—
594	C₁₃×D₈	—	4	1	no	—
595	C₁₃×D₈	—	4	1	no	—
596	C₁₃×D₈	—	4	1	no	—
597	C₁₃×D₈	—	4	1	no	—
598	C₁₃×D₈	—	4	1	no	—
599	C₁₃×D₈	—	4	1	no	—
600	C₁₃×D₈	—	4	1	no	—
601	C₁₃×D₈	—	4	1	no	—
602	C₁₃×M₁₆	—	4	1	no	—
603	C₁₃×M₁₆	—	4	1	no	—
604	C₂×C₈×C₁₃	—	4	1	no	—
605	C₂×C₈×C₁₃	—	4	1	no	—
606	C₂×C₈×C₁₃	—	4	1	no	—
607	C₂×C₈×C₁₃	—	4	1	no	—
608	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
615	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	—	2	1	no	—
626	C₁₃×C₄⋊C₄	—	2	1	no	—
627	C₁₃×C₄⋊C₄	—	2	1	no	—
628	C₁₃×C₄⋊C₄	—	2	1	no	—
629	C₁₃×C₄⋊C₄	—	2	1	no	—
630	C₁₃×C₄⋊C₄	—	2	1	no	—
631	C₁₃×C₄⋊C₄	—	2	1	no	—
632	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	—	2	1	no	—
657	C₁₃×C₂²⋊C₄	—	2	1	no	—
658	C₁₃×C₂²⋊C₄	—	2	1	no	—
659	C₁₃×C₂²⋊C₄	—	2	1	no	—
660	C₁₃×C₂²⋊C₄	—	2	1	no	—
661	C₁₃×C₂²⋊C₄	—	2	1	no	—
662	C₁₃×C₂²⋊C₄	—	2	1	no	—
663	C₁₃×C₂²⋊C₄	—	2	1	no	—
664	C₁₃×C₂²⋊C₄	—	2	1	no	—
665	C₁₃×C₂²⋊C₄	—	2	1	no	—
666	C₁₃×C₂²⋊C₄	—	2	1	no	—
667	C₁₃×C₂²⋊C₄	—	2	1	no	—
668	C₁₃×C₂²⋊C₄	—	2	1	no	—
669	C₁₃×C₂²⋊C₄	—	2	1	no	—
670	C₁₃×C₂²⋊C₄	—	2	1	no	—
671	C₁₃×C₂²⋊C₄	—	2	1	no	—
672	C₁₃×C₂²⋊C₄	—	2	1	no	—
673	C₁₃×C₂²⋊C₄	—	2	1	no	—
674	C₁₃×C₂²⋊C₄	—	2	1	no	—
675	C₁₃×C₂²⋊C₄	—	2	1	no	—
676	C₁₃×C₂²⋊C₄	—	2	1	no	—
677	C₁₃×C₂²⋊C₄	—	2	1	no	—
678	C₁₃×C₂²⋊C₄	—	2	1	no	—
679	C₁₃×C₂²⋊C₄	—	2	1	no	—
680	C₁₃×C₂²⋊C₄	—	2	1	no	—
681	C₁₃×C₂²⋊C₄	—	2	1	no	—
682	C₁₃×C₂²⋊C₄	—	2	1	no	—
683	C₁₃×C₂²⋊C₄	—	2	1	no	—
684	C₁₃×C₂²⋊C₄	—	2	1	no	—
685	C₁₃×C₂²⋊C₄	—	2	1	no	—
686	C₁₃×C₂²⋊C₄	—	2	1	no	—
687	C₁₃×C₂²⋊C₄	—	2	1	no	—
688	C₁₃×C₂²⋊C₄	—	2	1	no	—
689	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
692	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
696	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
697	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
698	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
699	C₄²×C₁₃	—	2	1	no	—
700	C₄²×C₁₃	—	2	1	no	—
701	C₄²×C₁₃	—	2	1	no	—
702	C₄²×C₁₃	—	2	1	no	—
703	C₄²×C₁₃	—	2	1	no	—
704	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
705	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
706	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
707	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
708	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
709	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
710	#3558	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3513	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3403	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#3396	C₂×C₁₃	1	1	yes	characteristic, complemented
714	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
715	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
716	#3322	C₂×C₁₃	1	1	yes	characteristic, complemented
717	#3310	C₂×C₁₃	1	1	yes	characteristic, complemented
718	#3308	C₂×C₁₃	1	1	yes	characteristic, complemented
719	#3300	C₂×C₁₃	1	1	yes	characteristic, complemented
720	#3297	C₂×C₁₃	1	1	yes	characteristic, complemented
721	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
722	#3282	C₂×C₁₃	1	1	yes	characteristic, complemented
723	#3280	C₂×C₁₃	1	1	yes	characteristic, complemented
724	D₄×D₈	C₂×C₁₃	1	1	yes	characteristic, complemented
725	#3273	C₂×C₁₃	1	1	yes	characteristic, complemented
726	#3265	C₂×C₁₃	1	1	yes	characteristic, complemented
727	#3264	C₂×C₁₃	1	1	yes	characteristic, complemented
728	#3262	C₂×C₁₃	1	1	yes	characteristic, complemented
729	#3257	C₂×C₁₃	1	1	yes	characteristic, complemented
730	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
731	#3224	C₂×C₁₃	1	1	yes	characteristic, complemented
732	#3220	C₂×C₁₃	1	1	yes	characteristic, complemented
733	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
734	#3124	C₂×C₁₃	1	1	yes	characteristic, complemented
735	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
736	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
737	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
738	#3041	C₂×C₁₃	1	1	yes	characteristic, complemented
739	C₂×#463	C₂×C₁₃	1	1	yes	characteristic, complemented
740	#2994	C₂×C₁₃	1	1	yes	characteristic, complemented
741	C₂³×C₁₃	—	2	1	no	—
742	C₂³×C₁₃	—	2	1	no	—
743	C₂³×C₁₃	—	2	1	no	—
744	C₂³×C₁₃	—	2	1	no	—
745	C₂³×C₁₃	—	2	1	no	—
746	C₂³×C₁₃	—	2	1	no	—
747	C₂³×C₁₃	—	2	1	no	—
748	C₂³×C₁₃	—	4	2	no	—
749	C₂³×C₁₃	—	4	2	no	—
750	C₂³×C₁₃	—	4	2	no	—
751	C₂³×C₁₃	—	4	2	no	—
752	C₂³×C₁₃	—	8	1	no	—
753	C₂³×C₁₃	—	8	1	no	—
754	C₂³×C₁₃	—	8	1	no	—
755	C₂³×C₁₃	—	8	1	no	—
756	C₂³×C₁₃	—	8	1	no	—
757	C₂³×C₁₃	—	8	1	no	—
758	C₂³×C₁₃	—	8	1	no	—
759	C₂³×C₁₃	—	8	1	no	—
760	C₂³×C₁₃	—	8	1	no	—
761	C₂³×C₁₃	—	8	1	no	—
762	C₂³×C₁₃	—	8	1	no	—
763	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
764	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
765	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
766	Q₈×C₁₃	—	2	1	no	—
767	Q₈×C₁₃	—	2	1	no	—
768	Q₈×C₁₃	—	2	1	no	—
769	Q₈×C₁₃	—	2	1	no	—
770	Q₈×C₁₃	—	2	1	no	—
771	Q₈×C₁₃	—	2	1	no	—
772	Q₈×C₁₃	—	4	1	no	—
773	Q₈×C₁₃	—	8	1	no	—
774	Q₈×C₁₃	—	8	1	no	—
775	Q₈×C₁₃	—	8	1	no	—
776	D₄×C₁₃	—	2	2	no	—
777	D₄×C₁₃	—	2	2	no	—
778	D₄×C₁₃	—	2	1	no	—
779	D₄×C₁₃	—	2	1	no	—
780	D₄×C₁₃	—	2	1	no	—
781	D₄×C₁₃	—	2	1	no	—
782	D₄×C₁₃	—	2	1	no	—
783	D₄×C₁₃	—	2	1	no	—
784	D₄×C₁₃	—	2	1	no	—
785	D₄×C₁₃	—	2	1	no	—
786	D₄×C₁₃	—	2	1	no	—
787	D₄×C₁₃	—	2	1	no	—
788	D₄×C₁₃	—	2	1	no	—
789	D₄×C₁₃	—	2	1	no	—
790	D₄×C₁₃	—	2	1	no	—
791	D₄×C₁₃	—	4	1	no	—
792	D₄×C₁₃	—	4	2	no	—
793	D₄×C₁₃	—	4	2	no	—
794	D₄×C₁₃	—	4	2	no	—
795	D₄×C₁₃	—	4	2	no	—
796	D₄×C₁₃	—	4	2	no	—
797	D₄×C₁₃	—	4	2	no	—
798	D₄×C₁₃	—	8	1	no	—
799	D₄×C₁₃	—	8	1	no	—
800	D₄×C₁₃	—	8	1	no	—
801	D₄×C₁₃	—	8	1	no	—
802	D₄×C₁₃	—	8	1	no	—
803	D₄×C₁₃	—	8	1	no	—
804	D₄×C₁₃	—	8	1	no	—
805	D₄×C₁₃	—	8	1	no	—
806	D₄×C₁₃	—	8	1	no	—
807	D₄×C₁₃	—	8	1	no	—
808	D₄×C₁₃	—	8	1	no	—
809	D₄×C₁₃	—	8	1	no	—
810	D₄×C₁₃	—	8	1	no	—
811	D₄×C₁₃	—	8	1	no	—
812	D₄×C₁₃	—	8	1	no	—
813	D₄×C₁₃	—	8	1	no	—
814	D₄×C₁₃	—	8	1	no	—
815	D₄×C₁₃	—	8	1	no	—
816	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
817	C₂×C₄×C₁₃	—	2	2	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	2	1	no	—
830	C₂×C₄×C₁₃	—	2	1	no	—
831	C₂×C₄×C₁₃	—	2	1	no	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	4	1	no	—
834	C₂×C₄×C₁₃	—	4	2	no	—
835	C₂×C₄×C₁₃	—	4	2	no	—
836	C₂×C₄×C₁₃	—	8	1	no	—
837	C₂×C₄×C₁₃	—	8	1	no	—
838	C₂×C₄×C₁₃	—	8	1	no	—
839	C₂×C₄×C₁₃	—	8	1	no	—
840	C₂×C₄×C₁₃	—	8	1	no	—
841	C₂×C₄×C₁₃	—	8	1	no	—
842	C₂×C₄×C₁₃	—	8	1	no	—
843	C₂×C₄×C₁₃	—	8	1	no	—
844	C₂×C₄×C₁₃	—	8	1	no	—
845	C₂×C₄×C₁₃	—	8	1	no	—
846	C₂×C₄×C₁₃	—	8	1	no	—
847	C₂×C₄×C₁₃	—	8	1	no	—
848	C₂×C₄×C₁₃	—	8	1	no	—
849	C₂×C₄×C₁₃	—	8	1	no	—
850	C₂×C₄×C₁₃	—	8	1	no	—
851	C₂×C₄×C₁₃	—	8	1	no	—
852	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
853	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
854	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
855	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
856	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
859	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
860	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
861	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
862	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
864	C₈×C₁₃	—	2	1	no	—
865	C₈×C₁₃	—	2	1	no	—
866	C₈×C₁₃	—	2	1	no	—
867	C₈×C₁₃	—	2	1	no	—
868	C₈×C₁₃	—	2	1	no	—
869	C₈×C₁₃	—	2	1	no	—
870	C₈×C₁₃	—	2	1	no	—
871	C₈×C₁₃	—	2	1	no	—
872	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
873	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
874	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
876	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
877	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#562	—	2	1	no	—
879	H(3,𝔽₄)	—	2	1	no	—
880	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	#553	—	2	1	no	—
885	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#551	—	2	1	no	—
888	#551	—	2	1	no	—
889	#548	C₂²×C₁₃	1	1	yes	characteristic
890	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
892	#546	—	2	1	no	—
893	#546	—	2	1	no	—
894	#546	—	2	1	no	—
895	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	D₄²	C₂²×C₁₃	1	1	yes	characteristic
900	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
902	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#539	—	2	1	no	—
907	#538	—	2	1	no	—
908	#538	—	2	1	no	—
909	#538	—	2	1	no	—
910	#538	—	2	1	no	—
911	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#534	—	2	1	no	—
914	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#529	C₂²×C₁₃	1	1	yes	characteristic
916	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	#525	—	2	1	no	—
919	C₂×#123	—	2	1	no	—
920	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
921	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
922	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
923	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
924	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#493	C₂²×C₁₃	1	1	yes	characteristic
929	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
930	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
939	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
943	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
945	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
946	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
949	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
951	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	#466	C₂²×C₁₃	1	1	yes	characteristic
957	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
958	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
962	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#459	C₂²×C₁₃	1	1	yes	characteristic
987	#459	C₂²×C₁₃	1	1	yes	characteristic
988	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
989	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
990	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
994	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
995	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
998	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
999	#449	C₂²×C₁₃	1	1	yes	characteristic
1000	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1001	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1002	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1003	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1004	#447	C₂²×C₁₃	1	1	yes	characteristic
1005	#447	C₂²×C₁₃	1	1	yes	characteristic
1006	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1007	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1008	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1009	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1010	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1011	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
1012	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1013	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
1014	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1015	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1016	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1017	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1019	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1020	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1021	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1022	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1023	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1024	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1025	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1026	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1027	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1028	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1029	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1030	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1031	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1032	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1033	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
1034	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
1035	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
1036	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1037	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
1038	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1039	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1040	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
1041	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
1042	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
1043	C₂²×C₁₃	—	2	1	no	—
1044	C₂²×C₁₃	—	2	1	no	—
1045	C₂²×C₁₃	—	2	1	no	—
1046	C₂²×C₁₃	—	2	1	no	—
1047	C₂²×C₁₃	—	2	1	no	—
1048	C₂²×C₁₃	—	2	1	no	—
1049	C₂²×C₁₃	—	2	2	no	—
1050	C₂²×C₁₃	—	2	1	no	—
1051	C₂²×C₁₃	—	2	1	no	—
1052	C₂²×C₁₃	—	4	1	no	—
1053	C₂²×C₁₃	—	4	1	no	—
1054	C₂²×C₁₃	—	4	1	no	—
1055	C₂²×C₁₃	—	4	1	no	—
1056	C₂²×C₁₃	—	4	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	4	1	no	—
1059	C₂²×C₁₃	—	4	1	no	—
1060	C₂²×C₁₃	—	4	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	—	4	1	no	—
1064	C₂²×C₁₃	—	4	1	no	—
1065	C₂²×C₁₃	—	4	1	no	—
1066	C₂²×C₁₃	—	4	1	no	—
1067	C₂²×C₁₃	—	4	1	no	—
1068	C₂²×C₁₃	—	4	1	no	—
1069	C₂²×C₁₃	—	4	1	no	—
1070	C₂²×C₁₃	—	4	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	8	4	no	—
1073	C₂²×C₁₃	—	16	2	no	—
1074	C₂²×C₁₃	—	16	2	no	—
1075	C₂²×C₁₃	—	16	2	no	—
1076	C₂²×C₁₃	—	16	2	no	—
1077	C₂²×C₁₃	#576	1	2	yes	—
1078	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1079	C₄×C₁₃	—	2	1	no	—
1080	C₄×C₁₃	—	2	1	no	—
1081	C₄×C₁₃	—	2	1	no	—
1082	C₄×C₁₃	—	2	1	no	—
1083	C₄×C₁₃	—	2	1	no	—
1084	C₄×C₁₃	—	2	1	no	—
1085	C₄×C₁₃	—	2	1	no	—
1086	C₄×C₁₃	—	2	1	no	—
1087	C₄×C₁₃	—	2	1	no	—
1088	C₄×C₁₃	—	2	1	no	—
1089	C₄×C₁₃	—	2	1	no	—
1090	C₄×C₁₃	—	4	1	no	—
1091	C₄×C₁₃	—	4	1	no	—
1092	C₄×C₁₃	—	4	1	no	—
1093	C₄×C₁₃	—	4	1	no	—
1094	C₄×C₁₃	—	4	1	no	—
1095	C₄×C₁₃	—	4	1	no	—
1096	C₄×C₁₃	—	4	1	no	—
1097	C₄×C₁₃	—	4	1	no	—
1098	C₄×C₁₃	—	4	1	no	—
1099	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1100	C₄×C₁₃	#585	1	1	yes	characteristic
1101	C₂×#41	—	2	1	no	—
1102	C₂×#41	—	2	1	no	—
1103	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1104	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1105	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1106	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1107	C₂²×D₄	—	2	1	no	—
1108	C₂²×D₄	—	2	1	no	—
1109	C₂²×D₄	—	2	1	no	—
1110	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1111	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1112	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1113	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1114	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1115	C₂³×C₄	—	2	1	no	—
1116	AGL(1,ℤ/8)	—	4	2	no	—
1117	AGL(1,ℤ/8)	—	4	2	no	—
1118	#135	—	4	2	no	—
1119	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1120	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1121	C₂×SD₁₆	—	4	2	no	—
1122	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1123	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1127	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1128	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1129	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1130	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1131	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1132	C₂×D₈	—	4	2	no	—
1133	C₂×D₈	—	4	2	no	—
1134	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1135	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1136	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1137	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1138	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1139	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1140	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1141	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1142	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1143	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1144	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1145	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1146	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1147	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1148	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1149	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1150	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1151	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1152	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1153	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1154	#127	C₂³×C₁₃	1	1	yes	characteristic
1155	#127	C₂³×C₁₃	1	1	yes	characteristic
1156	#127	C₂³×C₁₃	1	1	yes	characteristic
1157	#127	C₂³×C₁₃	1	1	yes	characteristic
1158	#126	—	2	1	no	—
1159	#126	—	2	1	no	—
1160	#126	—	2	1	no	—
1161	#126	—	2	1	no	—
1162	#126	—	2	1	no	—
1163	#126	—	2	1	no	—
1164	#126	D₄×C₁₃	1	1	yes	characteristic
1165	#126	D₄×C₁₃	1	1	yes	characteristic
1166	#125	—	2	1	no	—
1167	#125	D₄×C₁₃	1	1	yes	characteristic
1168	#125	C₂³×C₁₃	1	1	yes	characteristic
1169	#125	C₂³×C₁₃	1	1	yes	characteristic
1170	#124	—	2	1	no	—
1171	#124	—	2	1	no	—
1172	#124	—	2	1	no	—
1173	#124	—	2	1	no	—
1174	#124	—	2	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	2	1	no	—
1177	#124	—	2	1	no	—
1178	#124	—	2	1	no	—
1179	#124	—	2	1	no	—
1180	#124	—	2	1	no	—
1181	#124	D₄×C₁₃	1	1	yes	characteristic
1182	#124	C₂³×C₁₃	1	1	yes	characteristic
1183	#124	C₂³×C₁₃	1	1	yes	characteristic
1184	#124	C₂³×C₁₃	1	1	yes	characteristic
1185	#124	C₂³×C₁₃	1	1	yes	characteristic
1186	#124	C₂³×C₁₃	1	1	yes	characteristic
1187	#124	C₂³×C₁₃	1	1	yes	characteristic
1188	#124	C₂³×C₁₃	1	1	yes	characteristic
1189	#124	C₂³×C₁₃	1	1	yes	characteristic
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	2	1	no	—
1198	#123	—	2	1	no	—
1199	#123	—	2	1	no	—
1200	#123	—	2	1	no	—
1201	#123	—	2	1	no	—
1202	#123	—	2	1	no	—
1203	#123	—	2	1	no	—
1204	#123	—	2	1	no	—
1205	#123	—	2	1	no	—
1206	#123	—	2	1	no	—
1207	#123	—	2	1	no	—
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	D₄×C₁₃	1	1	yes	characteristic
1211	#123	D₄×C₁₃	1	1	yes	characteristic
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	—	2	1	no	—
1215	C₂²⋊Q₈	—	2	1	no	—
1216	C₂²⋊Q₈	—	2	1	no	—
1217	C₂²⋊Q₈	—	2	1	no	—
1218	C₂²⋊Q₈	—	2	1	no	—
1219	C₂²⋊Q₈	—	2	1	no	—
1220	C₂²⋊Q₈	—	2	1	no	—
1221	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1222	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1223	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1224	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1225	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	D₄×C₁₃	1	1	yes	characteristic
1244	#121	C₂³×C₁₃	1	1	yes	characteristic
1245	#121	C₂³×C₁₃	1	1	yes	characteristic
1246	#121	C₂³×C₁₃	1	1	yes	characteristic
1247	#121	C₂³×C₁₃	1	1	yes	characteristic
1248	#121	C₂³×C₁₃	1	1	yes	characteristic
1249	#121	C₂³×C₁₃	1	1	yes	characteristic
1250	#121	C₂³×C₁₃	1	1	yes	characteristic
1251	#121	C₂³×C₁₃	1	1	yes	characteristic
1252	#120	—	2	1	no	—
1253	#120	—	2	1	no	—
1254	#120	—	2	1	no	—
1255	#120	—	2	1	no	—
1256	#120	—	2	1	no	—
1257	#120	—	2	1	no	—
1258	#120	—	2	1	no	—
1259	#120	—	2	1	no	—
1260	#120	—	2	1	no	—
1261	#120	—	2	1	no	—
1262	#120	—	2	1	no	—
1263	#120	—	2	1	no	—
1264	#120	—	2	1	no	—
1265	#120	—	2	1	no	—
1266	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1267	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1268	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1269	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1270	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	—	2	1	no	—
1282	C₄×D₄	—	2	1	no	—
1283	C₄×D₄	—	2	1	no	—
1284	C₄×D₄	—	2	1	no	—
1285	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1286	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1287	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1288	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1289	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1290	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1291	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1292	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1293	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1294	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1295	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1296	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1297	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1298	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1299	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1300	#117	—	2	1	no	—
1301	#117	—	2	1	no	—
1302	#117	—	2	1	no	—
1303	#117	C₂³×C₁₃	1	1	yes	characteristic
1304	#117	C₂³×C₁₃	1	1	yes	characteristic
1305	#117	C₂³×C₁₃	1	1	yes	characteristic
1306	C₂×C₄⋊C₄	—	2	1	no	—
1307	C₂×C₄⋊C₄	—	2	1	no	—
1308	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1309	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1310	C₂×C₂²⋊C₄	—	2	1	no	—
1311	C₂×C₂²⋊C₄	—	2	1	no	—
1312	C₂×C₂²⋊C₄	—	2	1	no	—
1313	C₂×C₂²⋊C₄	—	2	1	no	—
1314	C₂×C₂²⋊C₄	—	2	1	no	—
1315	C₂×C₂²⋊C₄	—	2	1	no	—
1316	C₂×C₂²⋊C₄	—	2	1	no	—
1317	C₂×C₂²⋊C₄	—	2	1	no	—
1318	C₂×C₂²⋊C₄	—	2	1	no	—
1319	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1320	#107	C₂³×C₁₃	1	1	yes	characteristic
1321	#107	C₂³×C₁₃	1	1	yes	characteristic
1322	#107	C₂³×C₁₃	1	1	yes	characteristic
1323	#107	C₂³×C₁₃	1	1	yes	characteristic
1324	#107	C₂³×C₁₃	1	1	yes	characteristic
1325	#107	C₂³×C₁₃	1	1	yes	characteristic
1326	#106	C₂³×C₁₃	1	1	yes	characteristic
1327	#106	C₂³×C₁₃	1	1	yes	characteristic
1328	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1329	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1330	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1331	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1332	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1333	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1334	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1335	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1336	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1337	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1338	#103	C₂³×C₁₃	1	1	yes	characteristic
1339	#103	C₂³×C₁₃	1	1	yes	characteristic
1340	#103	C₂³×C₁₃	1	1	yes	characteristic
1341	#103	C₂³×C₁₃	1	1	yes	characteristic
1342	#103	C₂³×C₁₃	1	1	yes	characteristic
1343	#103	C₂³×C₁₃	1	1	yes	characteristic
1344	#103	C₂³×C₁₃	1	1	yes	characteristic
1345	#103	C₂³×C₁₃	1	1	yes	characteristic
1346	#103	C₂³×C₁₃	1	1	yes	characteristic
1347	#103	C₂³×C₁₃	1	1	yes	characteristic
1348	#102	C₂³×C₁₃	1	1	yes	characteristic
1349	#102	C₂³×C₁₃	1	1	yes	characteristic
1350	#102	C₂³×C₁₃	1	1	yes	characteristic
1351	#102	C₂³×C₁₃	1	1	yes	characteristic
1352	#102	C₂³×C₁₃	1	1	yes	characteristic
1353	#102	C₂³×C₁₃	1	1	yes	characteristic
1354	#102	C₂³×C₁₃	1	1	yes	characteristic
1355	#102	C₂³×C₁₃	1	1	yes	characteristic
1356	#102	C₂³×C₁₃	1	1	yes	characteristic
1357	#102	C₂³×C₁₃	1	1	yes	characteristic
1358	#102	C₂³×C₁₃	1	1	yes	characteristic
1359	#102	C₂³×C₁₃	1	1	yes	characteristic
1360	#102	C₂³×C₁₃	1	1	yes	characteristic
1361	#102	C₂³×C₁₃	1	1	yes	characteristic
1362	#102	C₂³×C₁₃	1	1	yes	characteristic
1363	#102	C₂³×C₁₃	1	1	yes	characteristic
1364	#102	C₂³×C₁₃	1	1	yes	characteristic
1365	#102	C₂³×C₁₃	1	1	yes	characteristic
1366	#102	C₂³×C₁₃	1	1	yes	characteristic
1367	#102	C₂³×C₁₃	1	1	yes	characteristic
1368	#102	C₂³×C₁₃	1	1	yes	characteristic
1369	#102	C₂³×C₁₃	1	1	yes	characteristic
1370	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1371	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1372	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1373	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1374	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1375	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1376	#97	C₂³×C₁₃	1	1	yes	characteristic
1377	#97	C₂³×C₁₃	1	1	yes	characteristic
1378	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1379	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1380	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1381	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1382	C₂×C₁₃	—	2	2	no	—
1383	C₂×C₁₃	—	4	1	no	—
1384	C₂×C₁₃	—	4	1	no	—
1385	C₂×C₁₃	—	4	2	no	—
1386	C₂×C₁₃	—	8	1	no	—
1387	C₂×C₁₃	—	8	1	no	—
1388	C₂×C₁₃	—	8	1	no	—
1389	C₂×C₁₃	—	8	1	no	—
1390	C₂×C₁₃	—	8	1	no	—
1391	C₂×C₁₃	—	8	1	no	—
1392	C₂×C₁₃	#3488	1	1	yes	characteristic
1393	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1394	C₂×C₁₃	#3584	1	1	yes	characteristic
1395	C₂⁴	—	2	1	no	—
1396	C₂⁴	—	2	1	no	—
1397	C₂⁴	—	2	1	no	—
1398	C₂⁴	—	2	1	no	—
1399	C₂⁴	—	2	1	no	—
1400	#41	—	2	2	no	—
1401	#41	—	4	1	no	—
1402	#41	—	4	1	no	—
1403	#41	—	4	1	no	—
1404	#41	—	4	1	no	—
1405	#41	—	4	1	no	—
1406	#41	—	8	2	no	—
1407	#41	—	8	2	no	—
1408	C₂×Q₈	—	2	1	no	—
1409	C₂×Q₈	—	2	1	no	—
1410	C₂×Q₈	—	2	1	no	—
1411	C₂×Q₈	—	4	1	no	—
1412	C₂×Q₈	—	4	1	no	—
1413	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1414	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1415	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1416	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1417	C₂×D₄	—	2	2	no	—
1418	C₂×D₄	—	2	2	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	2	1	no	—
1442	C₂×D₄	—	2	1	no	—
1443	C₂×D₄	—	4	1	no	—
1444	C₂×D₄	—	4	1	no	—
1445	C₂×D₄	—	4	1	no	—
1446	C₂×D₄	—	4	1	no	—
1447	C₂×D₄	—	4	1	no	—
1448	C₂×D₄	—	4	1	no	—
1449	C₂×D₄	—	4	1	no	—
1450	C₂×D₄	—	4	1	no	—
1451	C₂×D₄	—	8	2	no	—
1452	C₂×D₄	—	8	2	no	—
1453	C₂×D₄	—	8	2	no	—
1454	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1455	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1456	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1457	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1458	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1459	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1460	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1461	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1462	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1463	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1464	C₂²×C₄	—	2	1	no	—
1465	C₂²×C₄	—	2	1	no	—
1466	C₂²×C₄	—	2	1	no	—
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	2	1	no	—
1472	C₂²×C₄	—	2	1	no	—
1473	C₂²×C₄	—	2	1	no	—
1474	C₂²×C₄	—	2	1	no	—
1475	C₂²×C₄	—	2	1	no	—
1476	C₂²×C₄	—	2	1	no	—
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	8	2	no	—
1483	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1484	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1485	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1486	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1487	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1488	Q₁₆	—	4	1	no	—
1489	Q₁₆	—	4	1	no	—
1490	SD₁₆	—	2	2	no	—
1491	SD₁₆	—	2	2	no	—
1492	SD₁₆	—	4	1	no	—
1493	SD₁₆	—	4	1	no	—
1494	SD₁₆	—	4	1	no	—
1495	SD₁₆	—	4	1	no	—
1496	SD₁₆	—	4	1	no	—
1497	SD₁₆	—	4	1	no	—
1498	SD₁₆	—	4	1	no	—
1499	SD₁₆	—	4	1	no	—
1500	D₈	—	2	2	no	—
1501	D₈	—	2	2	no	—
1502	D₈	—	2	2	no	—
1503	D₈	—	2	2	no	—
1504	D₈	—	4	1	no	—
1505	D₈	—	4	1	no	—
1506	D₈	—	4	1	no	—
1507	D₈	—	4	1	no	—
1508	D₈	—	4	1	no	—
1509	D₈	—	4	1	no	—
1510	D₈	—	4	1	no	—
1511	D₈	—	4	1	no	—
1512	M₁₆	—	4	1	no	—
1513	M₁₆	—	4	1	no	—
1514	C₂×C₈	—	4	1	no	—
1515	C₂×C₈	—	4	1	no	—
1516	C₂×C₈	—	4	1	no	—
1517	C₂×C₈	—	4	1	no	—
1518	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1519	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1520	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1521	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1522	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1523	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1524	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1525	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	2	1	no	—
1530	C₄⋊C₄	—	2	1	no	—
1531	C₄⋊C₄	—	2	1	no	—
1532	C₄⋊C₄	—	2	1	no	—
1533	C₄⋊C₄	—	2	1	no	—
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	2	1	no	—
1542	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1543	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1544	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1545	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1546	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1547	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1548	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1549	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1550	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1551	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1552	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1553	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1554	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1555	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1556	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1557	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1600	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1601	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1602	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1603	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1604	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1605	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1606	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1607	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1608	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1609	C₄²	—	2	1	no	—
1610	C₄²	—	2	1	no	—
1611	C₄²	—	2	1	no	—
1612	C₄²	—	2	1	no	—
1613	C₄²	—	2	1	no	—
1614	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1615	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1616	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1617	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1618	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1619	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1620	C₁₃	#62064	1	1	yes	characteristic, direct product factor, Sylow
1621	C₂³	—	2	1	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	2	1	no	—
1626	C₂³	—	2	1	no	—
1627	C₂³	—	2	1	no	—
1628	C₂³	—	4	2	no	—
1629	C₂³	—	4	2	no	—
1630	C₂³	—	4	2	no	—
1631	C₂³	—	4	2	no	—
1632	C₂³	—	8	1	no	—
1633	C₂³	—	8	1	no	—
1634	C₂³	—	8	1	no	—
1635	C₂³	—	8	1	no	—
1636	C₂³	—	8	1	no	—
1637	C₂³	—	8	1	no	—
1638	C₂³	—	8	1	no	—
1639	C₂³	—	8	1	no	—
1640	C₂³	—	8	1	no	—
1641	C₂³	—	8	1	no	—
1642	C₂³	—	8	1	no	—
1643	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1644	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1645	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1646	Q₈	—	2	1	no	—
1647	Q₈	—	2	1	no	—
1648	Q₈	—	2	1	no	—
1649	Q₈	—	2	1	no	—
1650	Q₈	—	2	1	no	—
1651	Q₈	—	2	1	no	—
1652	Q₈	—	4	1	no	—
1653	Q₈	—	8	1	no	—
1654	Q₈	—	8	1	no	—
1655	Q₈	—	8	1	no	—
1656	D₄	—	2	2	no	—
1657	D₄	—	2	2	no	—
1658	D₄	—	2	1	no	—
1659	D₄	—	2	1	no	—
1660	D₄	—	2	1	no	—
1661	D₄	—	2	1	no	—
1662	D₄	—	2	1	no	—
1663	D₄	—	2	1	no	—
1664	D₄	—	2	1	no	—
1665	D₄	—	2	1	no	—
1666	D₄	—	2	1	no	—
1667	D₄	—	2	1	no	—
1668	D₄	—	2	1	no	—
1669	D₄	—	2	1	no	—
1670	D₄	—	2	1	no	—
1671	D₄	—	4	1	no	—
1672	D₄	—	4	2	no	—
1673	D₄	—	4	2	no	—
1674	D₄	—	4	2	no	—
1675	D₄	—	4	2	no	—
1676	D₄	—	4	2	no	—
1677	D₄	—	4	2	no	—
1678	D₄	—	8	1	no	—
1679	D₄	—	8	1	no	—
1680	D₄	—	8	1	no	—
1681	D₄	—	8	1	no	—
1682	D₄	—	8	1	no	—
1683	D₄	—	8	1	no	—
1684	D₄	—	8	1	no	—
1685	D₄	—	8	1	no	—
1686	D₄	—	8	1	no	—
1687	D₄	—	8	1	no	—
1688	D₄	—	8	1	no	—
1689	D₄	—	8	1	no	—
1690	D₄	—	8	1	no	—
1691	D₄	—	8	1	no	—
1692	D₄	—	8	1	no	—
1693	D₄	—	8	1	no	—
1694	D₄	—	8	1	no	—
1695	D₄	—	8	1	no	—
1696	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1697	C₂×C₄	—	2	2	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	4	1	no	—
1714	C₂×C₄	—	4	2	no	—
1715	C₂×C₄	—	4	2	no	—
1716	C₂×C₄	—	8	1	no	—
1717	C₂×C₄	—	8	1	no	—
1718	C₂×C₄	—	8	1	no	—
1719	C₂×C₄	—	8	1	no	—
1720	C₂×C₄	—	8	1	no	—
1721	C₂×C₄	—	8	1	no	—
1722	C₂×C₄	—	8	1	no	—
1723	C₂×C₄	—	8	1	no	—
1724	C₂×C₄	—	8	1	no	—
1725	C₂×C₄	—	8	1	no	—
1726	C₂×C₄	—	8	1	no	—
1727	C₂×C₄	—	8	1	no	—
1728	C₂×C₄	—	8	1	no	—
1729	C₂×C₄	—	8	1	no	—
1730	C₂×C₄	—	8	1	no	—
1731	C₂×C₄	—	8	1	no	—
1732	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1733	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1734	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1735	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1736	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1737	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1738	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1739	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1740	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1741	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1742	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1743	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1744	C₈	—	2	1	no	—
1745	C₈	—	2	1	no	—
1746	C₈	—	2	1	no	—
1747	C₈	—	2	1	no	—
1748	C₈	—	2	1	no	—
1749	C₈	—	2	1	no	—
1750	C₈	—	2	1	no	—
1751	C₈	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	2	1	no	—
1755	C₂²	—	2	1	no	—
1756	C₂²	—	2	1	no	—
1757	C₂²	—	2	1	no	—
1758	C₂²	—	2	1	no	—
1759	C₂²	—	2	1	no	—
1760	C₂²	—	2	2	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	4	1	no	—
1767	C₂²	—	4	1	no	—
1768	C₂²	—	4	1	no	—
1769	C₂²	—	4	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	4	1	no	—
1781	C₂²	—	8	4	no	—
1782	C₂²	—	16	2	no	—
1783	C₂²	—	16	2	no	—
1784	C₂²	—	16	2	no	—
1785	C₂²	—	16	2	no	—
1786	C₂²	C₁₃×#576	1	2	yes	—
1787	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	2	1	no	—
1794	C₄	—	2	1	no	—
1795	C₄	—	2	1	no	—
1796	C₄	—	2	1	no	—
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	4	1	no	—
1800	C₄	—	4	1	no	—
1801	C₄	—	4	1	no	—
1802	C₄	—	4	1	no	—
1803	C₄	—	4	1	no	—
1804	C₄	—	4	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1809	C₄	C₁₃×#585	1	1	yes	characteristic
1810	C₂	—	2	2	no	—
1811	C₂	—	4	1	no	—
1812	C₂	—	4	1	no	—
1813	C₂	—	4	2	no	—
1814	C₂	—	8	1	no	—
1815	C₂	—	8	1	no	—
1816	C₂	—	8	1	no	—
1817	C₂	—	8	1	no	—
1818	C₂	—	8	1	no	—
1819	C₂	—	8	1	no	—
1820	C₂	C₁₃×#3488	1	1	yes	characteristic
1821	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1822	C₂	C₁₃×#3584	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×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3558	C₂	semidirect
2. C₁₃×#3513	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3396	C₂	semidirect
5. C₁₃×#3370	C₂	semidirect
6. C₁₃×#3361	C₂	semidirect
7. C₁₃×#3322	C₂	semidirect
8. C₁₃×#3310	C₂	semidirect
9. C₁₃×#3308	C₂	semidirect
10. C₁₃×#3300	C₂	semidirect
11. C₁₃×#3297	C₂	semidirect
12. C₁₃×#3294	C₂	semidirect
13. C₁₃×#3282	C₂	semidirect
14. C₁₃×#3280	C₂	semidirect
15. D₄×C₁₃×D₈	C₂	semidirect
16. C₁₃×#3273	C₂	semidirect
17. C₁₃×#3265	C₂	semidirect
18. C₁₃×#3264	C₂	semidirect
19. C₁₃×#3262	C₂	semidirect
20. C₁₃×#3257	C₂	semidirect
21. C₁₃×#3247	C₂	semidirect
22. C₁₃×#3224	C₂	semidirect
23. C₁₃×#3220	C₂	semidirect
24. C₁₃×#3211	C₂	semidirect
25. C₁₃×#3124	C₂	semidirect
26. C₁₃×#3118	C₂	semidirect
27. C₁₃×#3100	C₂	semidirect
28. C₁₃×#3045	C₂	semidirect
29. C₁₃×#3041	C₂	semidirect
30. C₂×C₁₃×#463	C₂	semidirect
31. C₁₃×#2994	C₂	semidirect
32. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
33. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
34. C₂×C₁₃×#135	C₂²	semidirect
35. C₂²×C₁₃×SD₁₆	C₂²	semidirect
37. C₂²×C₁₃×D₈	C₂²	semidirect
40. C₁₃×#559	C₂²	semidirect
41. C₁₃×#559	C₂²	semidirect
42. C₁₃×#559	C₂²	semidirect
43. C₁₃×#554	C₂²	semidirect
45. C₁₃×#553	C₂²	semidirect
46. C₁₃×#552	C₂²	semidirect
50. C₁₃×#548	C₂²	semidirect
51. C₁₃×#547	C₂²	semidirect
55. C₁₃×#546	C₂²	semidirect
56. C₁₃×#546	C₂²	semidirect
57. C₁₃×#546	C₂²	semidirect
58. C₁₃×#546	C₂²	semidirect
60. D₄²×C₁₃	C₂²	semidirect
61. D₄²×C₁₃	C₂²	semidirect
62. C₁₃×#542	C₂²	semidirect
63. C₁₃×#542	C₂²	semidirect
64. C₁₃×#542	C₂²	semidirect
65. C₁₃×#540	C₂²	semidirect
71. C₁₃×#535	C₂²	semidirect
72. C₁₃×#535	C₂²	semidirect
74. C₁₃×#532	C₂²	semidirect
76. C₁₃×#529	C₂²	semidirect
77. C₂×C₁₃×#124	C₂²	semidirect
80. C₁₃×#520	C₂²	semidirect
81. C₁₃×#518	C₂²	semidirect
82. C₂×C₄×D₄×C₁₃	C₂²	semidirect
83. C₁₃×#496	C₂²	semidirect
84. C₁₃×#496	C₂²	semidirect
85. C₁₃×#495	C₂²	semidirect
86. C₁₃×#495	C₂²	semidirect
87. C₁₃×#495	C₂²	semidirect
89. C₁₃×#490	C₂²	semidirect
90. C₁₃×#489	C₂²	semidirect
91. C₁₃×#488	C₂²	semidirect
92. C₁₃×#488	C₂²	semidirect
93. C₁₃×#488	C₂²	semidirect
94. C₁₃×#486	C₂²	semidirect
95. C₁₃×#485	C₂²	semidirect
96. C₁₃×#484	C₂²	semidirect
97. C₁₃×#482	C₂²	semidirect
98. C₁₃×#480	C₂²	semidirect
99. C₁₃×#480	C₂²	semidirect
100. C₁₃×#480	C₂²	semidirect
101. C₁₃×#479	C₂²	semidirect
102. C₁₃×#478	C₂²	semidirect
103. C₁₃×#478	C₂²	semidirect
104. C₁₃×#478	C₂²	semidirect
105. C₁₃×#477	C₂²	semidirect
106. C₁₃×#477	C₂²	semidirect
107. C₁₃×#476	C₂²	semidirect
108. C₁₃×#474	C₂²	semidirect
109. C₁₃×#474	C₂²	semidirect
110. C₁₃×#474	C₂²	semidirect
111. C₁₃×#469	C₂²	semidirect
112. C₁₃×#468	C₂²	semidirect
113. C₁₃×#468	C₂²	semidirect
114. C₁₃×#468	C₂²	semidirect
115. C₁₃×#467	C₂²	semidirect
117. C₁₃×#466	C₂²	semidirect
118. C₁₃×#466	C₂²	semidirect
119. C₁₃×#466	C₂²	semidirect
120. C₁₃×#465	C₂²	semidirect
121. C₁₃×#465	C₂²	semidirect
122. C₁₃×#465	C₂²	semidirect
123. C₁₃×#464	C₂²	semidirect
124. C₁₃×#464	C₂²	semidirect
125. C₁₃×#464	C₂²	semidirect
126. C₁₃×#464	C₂²	semidirect
127. C₁₃×#463	C₂²	semidirect
128. C₁₃×#463	C₂²	semidirect
129. C₁₃×#463	C₂²	semidirect
130. C₁₃×#463	C₂²	semidirect
131. C₁₃×#463	C₂²	semidirect
132. C₁₃×#463	C₂²	semidirect
133. C₁₃×#463	C₂²	semidirect
134. C₁₃×#463	C₂²	semidirect
135. C₁₃×#463	C₂²	semidirect
136. C₁₃×#463	C₂²	semidirect
137. C₁₃×#463	C₂²	semidirect
138. C₁₃×#463	C₂²	semidirect
139. C₁₃×#463	C₂²	semidirect
140. C₁₃×#463	C₂²	semidirect
141. C₁₃×#463	C₂²	semidirect
142. C₁₃×#463	C₂²	semidirect
143. C₁₃×#460	C₂²	semidirect
144. C₁₃×#460	C₂²	semidirect
145. C₁₃×#460	C₂²	semidirect
148. C₁₃×#459	C₂²	semidirect
149. C₁₃×#459	C₂²	semidirect
150. C₁₃×#459	C₂²	semidirect
151. C₁₃×#459	C₂²	semidirect
152. C₁₃×#459	C₂²	semidirect
153. C₁₃×#452	C₂²	semidirect
154. C₁₃×#452	C₂²	semidirect
155. C₁₃×#451	C₂²	semidirect
156. C₁₃×#450	C₂²	semidirect
157. C₁₃×#450	C₂²	semidirect
158. C₁₃×#450	C₂²	semidirect
160. C₁₃×#449	C₂²	semidirect
161. C₁₃×#449	C₂²	semidirect
162. C₁₃×#449	C₂²	semidirect
163. C₁₃×#448	C₂²	semidirect
166. C₁₃×#447	C₂²	semidirect
167. C₁₃×#447	C₂²	semidirect
168. C₁₃×#447	C₂²	semidirect
169. C₁₃×#447	C₂²	semidirect
170. C₁₃×#447	C₂²	semidirect
171. C₁₃×#446	C₂²	semidirect
172. C₈×Q₈×C₁₃	C₂²	semidirect
173. C₁₃×#442	C₂²	semidirect
174. C₁₃×#440	C₂²	semidirect
175. C₁₃×#440	C₂²	semidirect
176. C₁₃×#440	C₂²	semidirect
177. C₄×C₁₃×Q₁₆	C₂²	semidirect
178. C₄×C₁₃×SD₁₆	C₂²	semidirect
179. C₄×C₁₃×D₈	C₂²	semidirect
180. C₄×C₁₃×D₈	C₂²	semidirect
181. C₄×C₁₃×D₈	C₂²	semidirect
182. C₄×C₁₃×D₈	C₂²	semidirect
183. C₄×C₁₃×D₈	C₂²	semidirect
184. C₄×C₁₃×D₈	C₂²	semidirect
185. C₁₃×#436	C₂²	semidirect
186. C₁₃×#435	C₂²	semidirect
187. C₁₃×#435	C₂²	semidirect
188. C₈×D₄×C₁₃	C₂²	semidirect
189. C₈×D₄×C₁₃	C₂²	semidirect
190. C₈×D₄×C₁₃	C₂²	semidirect
191. C₁₃×#433	C₂²	semidirect
192. C₁₃×#433	C₂²	semidirect
193. C₁₃×#431	C₂²	semidirect
194. C₁₃×#424	C₂²	semidirect
195. C₁₃×#424	C₂²	semidirect
196. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
197. C₁₃×#418	C₂²	semidirect
198. C₁₃×#417	C₂²	semidirect
199. C₁₃×#416	C₂²	semidirect
200. C₂×C₁₃×#103	C₂²	semidirect
201. C₂×C₁₃×#102	C₂²	semidirect
202. C₂×C₁₃×#102	C₂²	semidirect
484. #62064	C₁₃	direct (N × H)
710. #3558	C₂×C₁₃	semidirect
711. #3513	C₂×C₁₃	semidirect
712. #3403	C₂×C₁₃	semidirect
713. #3396	C₂×C₁₃	semidirect
714. #3370	C₂×C₁₃	semidirect
715. #3361	C₂×C₁₃	semidirect
716. #3322	C₂×C₁₃	semidirect
717. #3310	C₂×C₁₃	semidirect
718. #3308	C₂×C₁₃	semidirect
719. #3300	C₂×C₁₃	semidirect
720. #3297	C₂×C₁₃	semidirect
721. #3294	C₂×C₁₃	semidirect
722. #3282	C₂×C₁₃	semidirect
723. #3280	C₂×C₁₃	semidirect
724. D₄×D₈	C₂×C₁₃	semidirect
725. #3273	C₂×C₁₃	semidirect
726. #3265	C₂×C₁₃	semidirect
727. #3264	C₂×C₁₃	semidirect
728. #3262	C₂×C₁₃	semidirect
729. #3257	C₂×C₁₃	semidirect
730. #3247	C₂×C₁₃	semidirect
731. #3224	C₂×C₁₃	semidirect
732. #3220	C₂×C₁₃	semidirect
733. #3211	C₂×C₁₃	semidirect
734. #3124	C₂×C₁₃	semidirect
735. #3118	C₂×C₁₃	semidirect
736. #3100	C₂×C₁₃	semidirect
737. #3045	C₂×C₁₃	semidirect
738. #3041	C₂×C₁₃	semidirect
739. C₂×#463	C₂×C₁₃	semidirect
740. #2994	C₂×C₁₃	semidirect
872. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
873. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
874. C₂×#135	C₂²×C₁₃	semidirect
875. C₂²×SD₁₆	C₂²×C₁₃	semidirect
877. C₂²×D₈	C₂²×C₁₃	semidirect
880. #559	C₂²×C₁₃	semidirect
881. #559	C₂²×C₁₃	semidirect
882. #559	C₂²×C₁₃	semidirect
883. #554	C₂²×C₁₃	semidirect
885. #553	C₂²×C₁₃	semidirect
886. #552	C₂²×C₁₃	semidirect
890. #548	C₂²×C₁₃	semidirect
891. #547	C₂²×C₁₃	semidirect
895. #546	C₂²×C₁₃	semidirect
896. #546	C₂²×C₁₃	semidirect
897. #546	C₂²×C₁₃	semidirect
898. #546	C₂²×C₁₃	semidirect
900. D₄²	C₂²×C₁₃	semidirect
901. D₄²	C₂²×C₁₃	semidirect
902. #542	C₂²×C₁₃	semidirect
903. #542	C₂²×C₁₃	semidirect
904. #542	C₂²×C₁₃	semidirect
905. #540	C₂²×C₁₃	semidirect
911. #535	C₂²×C₁₃	semidirect
912. #535	C₂²×C₁₃	semidirect
914. #532	C₂²×C₁₃	semidirect
916. #529	C₂²×C₁₃	semidirect
917. C₂×#124	C₂²×C₁₃	semidirect
920. #520	C₂²×C₁₃	semidirect
921. #518	C₂²×C₁₃	semidirect
922. C₂×C₄×D₄	C₂²×C₁₃	semidirect
923. #496	C₂²×C₁₃	semidirect
924. #496	C₂²×C₁₃	semidirect
925. #495	C₂²×C₁₃	semidirect
926. #495	C₂²×C₁₃	semidirect
927. #495	C₂²×C₁₃	semidirect
929. #490	C₂²×C₁₃	semidirect
930. #489	C₂²×C₁₃	semidirect
931. #488	C₂²×C₁₃	semidirect
932. #488	C₂²×C₁₃	semidirect
933. #488	C₂²×C₁₃	semidirect
934. #486	C₂²×C₁₃	semidirect
935. #485	C₂²×C₁₃	semidirect
936. #484	C₂²×C₁₃	semidirect
937. #482	C₂²×C₁₃	semidirect
938. #480	C₂²×C₁₃	semidirect
939. #480	C₂²×C₁₃	semidirect
940. #480	C₂²×C₁₃	semidirect
941. #479	C₂²×C₁₃	semidirect
942. #478	C₂²×C₁₃	semidirect
943. #478	C₂²×C₁₃	semidirect
944. #478	C₂²×C₁₃	semidirect
945. #477	C₂²×C₁₃	semidirect
946. #477	C₂²×C₁₃	semidirect
947. #476	C₂²×C₁₃	semidirect
948. #474	C₂²×C₁₃	semidirect
949. #474	C₂²×C₁₃	semidirect
950. #474	C₂²×C₁₃	semidirect
951. #469	C₂²×C₁₃	semidirect
952. #468	C₂²×C₁₃	semidirect
953. #468	C₂²×C₁₃	semidirect
954. #468	C₂²×C₁₃	semidirect
955. #467	C₂²×C₁₃	semidirect
957. #466	C₂²×C₁₃	semidirect
958. #466	C₂²×C₁₃	semidirect
959. #466	C₂²×C₁₃	semidirect
960. #465	C₂²×C₁₃	semidirect
961. #465	C₂²×C₁₃	semidirect
962. #465	C₂²×C₁₃	semidirect
963. #464	C₂²×C₁₃	semidirect
964. #464	C₂²×C₁₃	semidirect
965. #464	C₂²×C₁₃	semidirect
966. #464	C₂²×C₁₃	semidirect
967. #463	C₂²×C₁₃	semidirect
968. #463	C₂²×C₁₃	semidirect
969. #463	C₂²×C₁₃	semidirect
970. #463	C₂²×C₁₃	semidirect
971. #463	C₂²×C₁₃	semidirect
972. #463	C₂²×C₁₃	semidirect
973. #463	C₂²×C₁₃	semidirect
974. #463	C₂²×C₁₃	semidirect
975. #463	C₂²×C₁₃	semidirect
976. #463	C₂²×C₁₃	semidirect
977. #463	C₂²×C₁₃	semidirect
978. #463	C₂²×C₁₃	semidirect
979. #463	C₂²×C₁₃	semidirect
980. #463	C₂²×C₁₃	semidirect
981. #463	C₂²×C₁₃	semidirect
982. #463	C₂²×C₁₃	semidirect
983. #460	C₂²×C₁₃	semidirect
984. #460	C₂²×C₁₃	semidirect
985. #460	C₂²×C₁₃	semidirect
988. #459	C₂²×C₁₃	semidirect
989. #459	C₂²×C₁₃	semidirect
990. #459	C₂²×C₁₃	semidirect
991. #459	C₂²×C₁₃	semidirect
992. #459	C₂²×C₁₃	semidirect
993. #452	C₂²×C₁₃	semidirect
994. #452	C₂²×C₁₃	semidirect
995. #451	C₂²×C₁₃	semidirect
996. #450	C₂²×C₁₃	semidirect
997. #450	C₂²×C₁₃	semidirect
998. #450	C₂²×C₁₃	semidirect
1000. #449	C₂²×C₁₃	semidirect
1001. #449	C₂²×C₁₃	semidirect
1002. #449	C₂²×C₁₃	semidirect
1003. #448	C₂²×C₁₃	semidirect
1006. #447	C₂²×C₁₃	semidirect
1007. #447	C₂²×C₁₃	semidirect
1008. #447	C₂²×C₁₃	semidirect
1009. #447	C₂²×C₁₃	semidirect
1010. #447	C₂²×C₁₃	semidirect
1011. #446	C₂²×C₁₃	semidirect
1012. C₈×Q₈	C₂²×C₁₃	semidirect
1013. #442	C₂²×C₁₃	semidirect
1014. #440	C₂²×C₁₃	semidirect
1015. #440	C₂²×C₁₃	semidirect
1016. #440	C₂²×C₁₃	semidirect
1017. C₄×Q₁₆	C₂²×C₁₃	semidirect
1018. C₄×SD₁₆	C₂²×C₁₃	semidirect
1019. C₄×D₈	C₂²×C₁₃	semidirect
1020. C₄×D₈	C₂²×C₁₃	semidirect
1021. C₄×D₈	C₂²×C₁₃	semidirect
1022. C₄×D₈	C₂²×C₁₃	semidirect
1023. C₄×D₈	C₂²×C₁₃	semidirect
1024. C₄×D₈	C₂²×C₁₃	semidirect
1025. #436	C₂²×C₁₃	semidirect
1026. #435	C₂²×C₁₃	semidirect
1027. #435	C₂²×C₁₃	semidirect
1028. C₈×D₄	C₂²×C₁₃	semidirect
1029. C₈×D₄	C₂²×C₁₃	semidirect
1030. C₈×D₄	C₂²×C₁₃	semidirect
1031. #433	C₂²×C₁₃	semidirect
1032. #433	C₂²×C₁₃	semidirect
1033. #431	C₂²×C₁₃	semidirect
1034. #424	C₂²×C₁₃	semidirect
1035. #424	C₂²×C₁₃	semidirect
1036. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1037. #418	C₂²×C₁₃	semidirect
1038. #417	C₂²×C₁₃	semidirect
1039. #416	C₂²×C₁₃	semidirect
1040. C₂×#103	C₂²×C₁₃	semidirect
1041. C₂×#102	C₂²×C₁₃	semidirect
1042. C₂×#102	C₂²×C₁₃	semidirect
1620. C₁₃	#62064	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3558	2
C₁₃×#3513	2
C₁₃×#3403	2
C₁₃×#3396	2
C₁₃×#3370	2
C₁₃×#3361	2
C₁₃×#3322	2
C₁₃×#3310	2
C₁₃×#3308	2
C₁₃×#3300	2
C₁₃×#3297	2
C₁₃×#3294	2
C₁₃×#3282	2
C₁₃×#3280	2
D₄×C₁₃×D₈	2
C₁₃×#3273	2
C₁₃×#3265	2
C₁₃×#3264	2
C₁₃×#3262	2
C₁₃×#3257	2
C₁₃×#3247	2
C₁₃×#3224	2
C₁₃×#3220	2
C₁₃×#3211	2
C₁₃×#3124	2
C₁₃×#3118	2
C₁₃×#3100	2
C₁₃×#3045	2
C₁₃×#3041	2
C₂×C₁₃×#463	2
C₁₃×#2994	2
#62064	13

Subgroups — C13×#62064 #15748403

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62064 #15748403