Subgroups — C₁₃×#60933 #15747272

Order 3328.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1188 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3260	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3259	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3256	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3251	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3250	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3247	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3080	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3061	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3060	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3036	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2906	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
30	C₁₃×#553	—	2	2	no	—
31	C₁₃×#553	—	2	2	no	—
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#544	C₂²	1	1	yes	characteristic
37	C₁₃×#542	—	2	1	no	—
38	C₁₃×#542	C₂²	1	2	yes	—
39	C₁₃×#541	C₂²	1	2	yes	complemented
40	C₁₃×#540	—	2	1	no	—
41	C₁₃×#540	C₂²	1	2	yes	—
42	C₁₃×#540	C₂²	1	2	yes	complemented
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#537	C₂²	1	1	yes	characteristic
45	C₁₃×#537	C₂²	1	1	yes	characteristic
46	C₁₃×#537	C₂²	1	1	yes	characteristic
47	C₁₃×#535	C₂²	1	1	yes	characteristic
48	C₁₃×#535	C₂²	1	1	yes	characteristic
49	C₁₃×#532	—	2	1	no	—
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#532	C₂²	1	2	yes	—
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	C₂²	1	2	yes	—
54	C₁₃×#529	C₂²	1	2	yes	complemented
55	C₁₃×#529	C₂²	1	2	yes	complemented
56	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
57	C₁₃×#525	—	2	2	no	—
58	C₁₃×#520	C₂²	1	1	yes	characteristic
59	C₁₃×#520	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
63	C₁₃×#479	C₂²	1	2	yes	complemented
64	C₁₃×#479	C₂²	1	2	yes	complemented
65	C₁₃×#479	C₂²	1	2	yes	complemented
66	C₁₃×#479	C₂²	1	2	yes	complemented
67	C₁₃×#478	C₂²	1	2	yes	—
68	C₁₃×#478	C₂²	1	2	yes	—
69	C₁₃×#478	C₂²	1	2	yes	—
70	C₁₃×#478	C₂²	1	2	yes	—
71	C₁₃×#478	C₂²	1	2	yes	complemented
72	C₁₃×#478	C₂²	1	2	yes	complemented
73	C₁₃×#478	C₂²	1	2	yes	complemented
74	C₁₃×#478	C₂²	1	2	yes	complemented
75	C₁₃×#477	C₂²	1	2	yes	complemented
76	C₁₃×#476	C₂²	1	2	yes	complemented
77	C₁₃×#475	C₂²	1	2	yes	complemented
78	C₁₃×#474	C₂²	1	2	yes	complemented
79	C₁₃×#470	C₂²	1	2	yes	complemented
80	C₁₃×#469	C₂²	1	2	yes	—
81	C₁₃×#469	C₂²	1	2	yes	—
82	C₁₃×#469	C₂²	1	2	yes	complemented
83	C₁₃×#468	C₂²	1	2	yes	—
84	C₁₃×#468	C₂²	1	2	yes	—
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#468	C₂²	1	2	yes	complemented
87	C₁₃×#467	C₂²	1	2	yes	complemented
88	C₁₃×#466	C₂²	1	2	yes	—
89	C₁₃×#466	C₂²	1	2	yes	—
90	C₁₃×#466	C₂²	1	2	yes	complemented
91	C₁₃×#465	C₂²	1	2	yes	—
92	C₁₃×#465	C₂²	1	2	yes	—
93	C₁₃×#465	C₂²	1	2	yes	complemented
94	C₁₃×#465	C₂²	1	2	yes	complemented
95	C₁₃×#464	C₂²	1	2	yes	—
96	C₁₃×#464	C₂²	1	2	yes	—
97	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#463	C₂²	1	2	yes	—
100	C₁₃×#463	C₂²	1	2	yes	—
101	C₁₃×#463	C₂²	1	2	yes	—
102	C₁₃×#463	C₂²	1	2	yes	—
103	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#461	C₂²	1	2	yes	—
107	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#460	C₂²	1	2	yes	—
109	C₁₃×#460	C₂²	1	2	yes	—
110	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#459	C₂²	1	2	yes	—
112	C₁₃×#459	C₂²	1	2	yes	—
113	C₁₃×#459	C₂²	1	2	yes	—
114	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#428	C₂²	1	1	yes	characteristic
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
118	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
119	C₁₃×#424	C₂²	1	1	yes	characteristic
120	C₁₃×#424	C₂²	1	1	yes	characteristic
121	C₁₃×#424	C₂²	1	2	yes	complemented
122	C₁₃×#424	C₂²	1	2	yes	complemented
123	C₁₃×#423	C₂²	1	1	yes	characteristic
124	C₁₃×#423	C₂²	1	2	yes	complemented
125	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#417	C₂²	1	1	yes	characteristic
129	C₁₃×#417	C₂²	1	1	yes	characteristic
130	C₁₃×#417	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#416	C₂²	1	1	yes	characteristic
133	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	—	2	1	no	—
142	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
143	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
144	C₁₃×#135	—	4	2	no	—
145	C₁₃×#135	—	4	2	no	—
146	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₁₃×#131	—	4	2	no	—
159	C₁₃×#131	—	4	2	no	—
160	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
163	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
164	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
165	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
166	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
167	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	—	2	1	no	—
169	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₁₃×#127	—	2	1	no	—
172	C₁₃×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#127	C₂³	1	2	yes	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#126	—	2	2	no	—
179	C₁₃×#126	—	2	2	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	C₂³	1	2	yes	—
186	C₁₃×#125	C₂³	1	2	yes	—
187	C₁₃×#125	C₂³	1	2	yes	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	—	2	2	no	—
191	C₁₃×#124	C₂³	1	1	yes	characteristic
192	C₁₃×#124	C₂³	1	1	yes	characteristic
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	1	no	—
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	C₂³	1	2	yes	—
226	C₁₃×#121	C₂³	1	2	yes	—
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	2	yes	—
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#120	—	2	2	no	—
231	C₁₃×#120	—	2	2	no	—
232	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	D₄	1	2	yes	—
251	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
252	C₄×D₄×C₁₃	D₄	1	2	yes	—
253	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	2	yes	—
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂³	1	2	yes	—
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₁₃×#117	—	2	1	no	—
261	C₁₃×#117	—	2	1	no	—
262	C₁₃×#117	—	2	1	no	—
263	C₁₃×#117	—	2	2	no	—
264	C₁₃×#117	—	2	2	no	—
265	C₁₃×#117	—	2	2	no	—
266	C₁₃×#117	C₂³	1	1	yes	characteristic
267	C₁₃×#117	C₂³	1	1	yes	characteristic
268	C₁₃×#117	C₂³	1	2	yes	—
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
271	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
272	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
277	C₂×C₄²×C₁₃	—	2	1	no	—
278	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
280	C₁₃×#107	C₂³	1	2	yes	—
281	C₁₃×#107	C₂³	1	2	yes	—
282	C₁₃×#107	C₂³	1	2	yes	—
283	C₁₃×#107	C₂³	1	2	yes	—
284	C₁₃×#106	C₂³	1	2	yes	—
285	C₁₃×#106	C₂³	1	2	yes	—
286	C₁₃×#106	C₂³	1	2	yes	—
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
293	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
294	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
295	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
296	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
297	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	1	yes	characteristic
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#103	C₂³	1	1	yes	characteristic
302	C₁₃×#103	C₂³	1	2	yes	—
303	C₁₃×#103	C₂³	1	2	yes	—
304	C₁₃×#103	C₂³	1	2	yes	—
305	C₁₃×#103	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	2	yes	—
309	C₁₃×#102	C₂³	1	2	yes	—
310	C₁₃×#102	C₂³	1	1	yes	characteristic
311	C₁₃×#102	C₂³	1	1	yes	characteristic
312	C₁₃×#102	C₂³	1	1	yes	characteristic
313	C₁₃×#102	C₂³	1	1	yes	characteristic
314	C₁₃×#102	C₂³	1	2	yes	—
315	C₁₃×#102	C₂³	1	2	yes	—
316	C₁₃×#102	C₂³	1	2	yes	—
317	C₁₃×#102	C₂³	1	2	yes	—
318	#60933	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂⁴×C₁₃	—	2	1	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	2	2	no	—
323	C₁₃×#41	—	2	2	no	—
324	C₁₃×#41	—	2	2	no	—
325	C₁₃×#41	—	2	2	no	—
326	C₁₃×#41	—	2	2	no	—
327	C₁₃×#41	—	2	2	no	—
328	C₁₃×#41	—	8	4	no	—
329	C₂×Q₈×C₁₃	—	2	2	no	—
330	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	1	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	2	no	—
347	C₂×D₄×C₁₃	—	2	2	no	—
348	C₂×D₄×C₁₃	—	2	2	no	—
349	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
350	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
354	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	1	no	—
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	1	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	2	no	—
365	C₂²×C₄×C₁₃	—	2	2	no	—
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	8	2	no	—
368	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
371	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
372	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₁₃×Q₁₆	—	4	1	no	—
375	C₁₃×Q₁₆	—	4	1	no	—
376	C₁₃×SD₁₆	—	4	1	no	—
377	C₁₃×SD₁₆	—	4	1	no	—
378	C₁₃×SD₁₆	—	4	1	no	—
379	C₁₃×SD₁₆	—	4	1	no	—
380	C₁₃×SD₁₆	—	4	2	no	—
381	C₁₃×SD₁₆	—	4	2	no	—
382	C₁₃×D₈	—	4	1	no	—
383	C₁₃×D₈	—	4	1	no	—
384	C₁₃×D₈	—	4	2	no	—
385	C₁₃×D₈	—	4	2	no	—
386	C₁₃×M₁₆	—	2	2	no	—
387	C₁₃×M₁₆	—	2	2	no	—
388	C₁₃×M₁₆	—	4	2	no	—
389	C₁₃×M₁₆	—	4	2	no	—
390	C₂×C₈×C₁₃	—	2	2	no	—
391	C₂×C₈×C₁₃	—	2	2	no	—
392	C₂×C₈×C₁₃	—	4	2	no	—
393	C₂×C₈×C₁₃	—	4	2	no	—
394	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
399	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	—	2	2	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
420	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
424	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
425	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
426	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	1	no	—
435	C₁₃×C₂²⋊C₄	—	2	1	no	—
436	C₁₃×C₂²⋊C₄	—	2	1	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	2	no	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	1	no	—
445	C₁₃×C₂²⋊C₄	—	2	1	no	—
446	C₁₃×C₂²⋊C₄	—	2	2	no	—
447	C₁₃×C₂²⋊C₄	—	2	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	2	no	—
449	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
450	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
451	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
452	C₄²×C₁₃	—	2	1	no	—
453	C₄²×C₁₃	—	2	1	no	—
454	C₄²×C₁₃	—	2	1	no	—
455	C₄²×C₁₃	—	2	2	no	—
456	C₄²×C₁₃	—	2	2	no	—
457	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₁₃	C₂×D₄	1	2	yes	—
459	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
460	C₄²×C₁₃	C₂×D₄	1	2	yes	—
461	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
462	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
463	C₄²×C₁₃	C₂⁴	1	2	yes	—
464	#3512	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3260	C₂×C₁₃	1	2	yes	complemented
467	#3259	C₂×C₁₃	1	2	yes	complemented
468	#3258	C₂×C₁₃	1	2	yes	complemented
469	#3257	C₂×C₁₃	1	2	yes	complemented
470	#3256	C₂×C₁₃	1	2	yes	complemented
471	#3251	C₂×C₁₃	1	2	yes	complemented
472	#3250	C₂×C₁₃	1	2	yes	complemented
473	#3247	C₂×C₁₃	1	2	yes	complemented
474	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3080	C₂×C₁₃	1	1	yes	characteristic, complemented
477	C₂×#478	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
480	#3061	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#3060	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#3036	C₂×C₁₃	1	1	yes	characteristic, complemented
485	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
486	#2906	C₂×C₁₃	1	1	yes	characteristic, complemented
487	C₂³×C₁₃	—	2	1	no	—
488	C₂³×C₁₃	—	2	1	no	—
489	C₂³×C₁₃	—	2	2	no	—
490	C₂³×C₁₃	—	2	1	no	—
491	C₂³×C₁₃	—	4	2	no	—
492	C₂³×C₁₃	—	8	1	no	—
493	C₂³×C₁₃	—	8	1	no	—
494	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
495	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
496	Q₈×C₁₃	—	2	2	no	—
497	Q₈×C₁₃	—	2	1	no	—
498	Q₈×C₁₃	—	2	1	no	—
499	Q₈×C₁₃	—	2	1	no	—
500	Q₈×C₁₃	—	2	1	no	—
501	Q₈×C₁₃	—	2	1	no	—
502	Q₈×C₁₃	—	2	1	no	—
503	Q₈×C₁₃	—	8	2	no	—
504	D₄×C₁₃	—	2	4	no	—
505	D₄×C₁₃	—	2	2	no	—
506	D₄×C₁₃	—	2	1	no	—
507	D₄×C₁₃	—	2	1	no	—
508	D₄×C₁₃	—	2	2	no	—
509	D₄×C₁₃	—	2	1	no	—
510	D₄×C₁₃	—	2	2	no	—
511	D₄×C₁₃	—	2	1	no	—
512	D₄×C₁₃	—	2	1	no	—
513	D₄×C₁₃	—	2	1	no	—
514	D₄×C₁₃	—	4	2	no	—
515	D₄×C₁₃	—	4	2	no	—
516	D₄×C₁₃	—	4	2	no	—
517	D₄×C₁₃	—	4	2	no	—
518	D₄×C₁₃	—	8	1	no	—
519	D₄×C₁₃	—	8	2	no	—
520	D₄×C₁₃	—	8	1	no	—
521	D₄×C₁₃	—	8	2	no	—
522	D₄×C₁₃	—	8	2	no	—
523	D₄×C₁₃	—	8	2	no	—
524	D₄×C₁₃	—	8	2	no	—
525	D₄×C₁₃	—	8	2	no	—
526	D₄×C₁₃	—	8	2	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	2	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	2	1	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	2	no	—
535	C₂×C₄×C₁₃	—	2	2	no	—
536	C₂×C₄×C₁₃	—	2	2	no	—
537	C₂×C₄×C₁₃	—	4	1	no	—
538	C₂×C₄×C₁₃	—	4	1	no	—
539	C₂×C₄×C₁₃	—	4	2	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	4	4	no	—
542	C₂×C₄×C₁₃	—	4	2	no	—
543	C₂×C₄×C₁₃	—	4	2	no	—
544	C₂×C₄×C₁₃	—	4	2	no	—
545	C₂×C₄×C₁₃	—	4	2	no	—
546	C₂×C₄×C₁₃	—	8	2	no	—
547	C₂×C₄×C₁₃	—	8	1	no	—
548	C₂×C₄×C₁₃	—	8	2	no	—
549	C₂×C₄×C₁₃	—	8	2	no	—
550	C₂×C₄×C₁₃	—	8	1	no	—
551	C₂×C₄×C₁₃	—	8	1	no	—
552	C₂×C₄×C₁₃	—	8	1	no	—
553	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
555	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
556	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
557	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
558	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
559	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
560	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
561	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
562	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
563	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
564	C₈×C₁₃	—	2	1	no	—
565	C₈×C₁₃	—	2	1	no	—
566	C₈×C₁₃	—	2	1	no	—
567	C₈×C₁₃	—	2	1	no	—
568	C₈×C₁₃	—	2	2	no	—
569	C₈×C₁₃	—	2	2	no	—
570	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
571	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
572	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
573	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
574	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
575	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
576	#553	—	2	2	no	—
577	#553	—	2	2	no	—
578	#553	—	2	1	no	—
579	#553	—	2	1	no	—
580	#552	—	2	1	no	—
581	#552	—	2	1	no	—
582	#544	C₂²×C₁₃	1	1	yes	characteristic
583	#542	—	2	1	no	—
584	#542	C₂²×C₁₃	1	2	yes	—
585	#541	C₂²×C₁₃	1	2	yes	complemented
586	#540	—	2	1	no	—
587	#540	C₂²×C₁₃	1	2	yes	—
588	#540	C₂²×C₁₃	1	2	yes	complemented
589	#538	—	2	2	no	—
590	#537	C₂²×C₁₃	1	1	yes	characteristic
591	#537	C₂²×C₁₃	1	1	yes	characteristic
592	#537	C₂²×C₁₃	1	1	yes	characteristic
593	#535	C₂²×C₁₃	1	1	yes	characteristic
594	#535	C₂²×C₁₃	1	1	yes	characteristic
595	#532	—	2	1	no	—
596	#532	C₂²×C₁₃	1	1	yes	characteristic
597	#532	C₂²×C₁₃	1	2	yes	—
598	#529	—	2	1	no	—
599	#529	C₂²×C₁₃	1	2	yes	—
600	#529	C₂²×C₁₃	1	2	yes	complemented
601	#529	C₂²×C₁₃	1	2	yes	complemented
602	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
603	#525	—	2	2	no	—
604	#520	C₂²×C₁₃	1	1	yes	characteristic
605	#520	C₂²×C₁₃	1	1	yes	characteristic
606	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
607	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
608	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
609	#479	C₂²×C₁₃	1	2	yes	complemented
610	#479	C₂²×C₁₃	1	2	yes	complemented
611	#479	C₂²×C₁₃	1	2	yes	complemented
612	#479	C₂²×C₁₃	1	2	yes	complemented
613	#478	C₂²×C₁₃	1	2	yes	—
614	#478	C₂²×C₁₃	1	2	yes	—
615	#478	C₂²×C₁₃	1	2	yes	—
616	#478	C₂²×C₁₃	1	2	yes	—
617	#478	C₂²×C₁₃	1	2	yes	complemented
618	#478	C₂²×C₁₃	1	2	yes	complemented
619	#478	C₂²×C₁₃	1	2	yes	complemented
620	#478	C₂²×C₁₃	1	2	yes	complemented
621	#477	C₂²×C₁₃	1	2	yes	complemented
622	#476	C₂²×C₁₃	1	2	yes	complemented
623	#475	C₂²×C₁₃	1	2	yes	complemented
624	#474	C₂²×C₁₃	1	2	yes	complemented
625	#470	C₂²×C₁₃	1	2	yes	complemented
626	#469	C₂²×C₁₃	1	2	yes	—
627	#469	C₂²×C₁₃	1	2	yes	—
628	#469	C₂²×C₁₃	1	2	yes	complemented
629	#468	C₂²×C₁₃	1	2	yes	—
630	#468	C₂²×C₁₃	1	2	yes	—
631	#468	C₂²×C₁₃	1	2	yes	complemented
632	#468	C₂²×C₁₃	1	2	yes	complemented
633	#467	C₂²×C₁₃	1	2	yes	complemented
634	#466	C₂²×C₁₃	1	2	yes	—
635	#466	C₂²×C₁₃	1	2	yes	—
636	#466	C₂²×C₁₃	1	2	yes	complemented
637	#465	C₂²×C₁₃	1	2	yes	—
638	#465	C₂²×C₁₃	1	2	yes	—
639	#465	C₂²×C₁₃	1	2	yes	complemented
640	#465	C₂²×C₁₃	1	2	yes	complemented
641	#464	C₂²×C₁₃	1	2	yes	—
642	#464	C₂²×C₁₃	1	2	yes	—
643	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	#463	C₂²×C₁₃	1	2	yes	—
646	#463	C₂²×C₁₃	1	2	yes	—
647	#463	C₂²×C₁₃	1	2	yes	—
648	#463	C₂²×C₁₃	1	2	yes	—
649	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#461	C₂²×C₁₃	1	2	yes	—
653	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	#460	C₂²×C₁₃	1	2	yes	—
655	#460	C₂²×C₁₃	1	2	yes	—
656	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#459	C₂²×C₁₃	1	2	yes	—
658	#459	C₂²×C₁₃	1	2	yes	—
659	#459	C₂²×C₁₃	1	2	yes	—
660	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#428	C₂²×C₁₃	1	1	yes	characteristic
662	#428	C₂²×C₁₃	1	1	yes	characteristic
663	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
664	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
665	#424	C₂²×C₁₃	1	1	yes	characteristic
666	#424	C₂²×C₁₃	1	1	yes	characteristic
667	#424	C₂²×C₁₃	1	2	yes	complemented
668	#424	C₂²×C₁₃	1	2	yes	complemented
669	#423	C₂²×C₁₃	1	1	yes	characteristic
670	#423	C₂²×C₁₃	1	2	yes	complemented
671	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
672	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
673	#417	C₂²×C₁₃	1	1	yes	characteristic
674	#417	C₂²×C₁₃	1	1	yes	characteristic
675	#417	C₂²×C₁₃	1	1	yes	characteristic
676	#417	C₂²×C₁₃	1	1	yes	characteristic
677	#416	C₂²×C₁₃	1	1	yes	characteristic
678	#416	C₂²×C₁₃	1	1	yes	characteristic
679	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
680	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
681	C₂²×C₁₃	—	2	1	no	—
682	C₂²×C₁₃	—	2	1	no	—
683	C₂²×C₁₃	—	2	2	no	—
684	C₂²×C₁₃	—	2	2	no	—
685	C₂²×C₁₃	—	2	2	no	—
686	C₂²×C₁₃	—	4	1	no	—
687	C₂²×C₁₃	—	4	1	no	—
688	C₂²×C₁₃	—	4	1	no	—
689	C₂²×C₁₃	—	4	2	no	—
690	C₂²×C₁₃	—	4	2	no	—
691	C₂²×C₁₃	—	4	1	no	—
692	C₂²×C₁₃	—	4	1	no	—
693	C₂²×C₁₃	—	4	1	no	—
694	C₂²×C₁₃	—	4	1	no	—
695	C₂²×C₁₃	—	4	1	no	—
696	C₂²×C₁₃	—	4	1	no	—
697	C₂²×C₁₃	—	4	2	no	—
698	C₂²×C₁₃	—	8	4	no	—
699	C₂²×C₁₃	#537	1	2	yes	—
700	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
701	C₄×C₁₃	—	2	1	no	—
702	C₄×C₁₃	—	2	1	no	—
703	C₄×C₁₃	—	2	2	no	—
704	C₄×C₁₃	—	2	1	no	—
705	C₄×C₁₃	—	2	1	no	—
706	C₄×C₁₃	—	2	2	no	—
707	C₄×C₁₃	—	2	2	no	—
708	C₄×C₁₃	—	4	2	no	—
709	C₄×C₁₃	—	4	1	no	—
710	C₄×C₁₃	—	4	2	no	—
711	C₄×C₁₃	—	4	1	no	—
712	C₄×C₁₃	—	4	2	no	—
713	C₄×C₁₃	—	4	1	no	—
714	C₄×C₁₃	—	4	1	no	—
715	C₄×C₁₃	—	4	1	no	—
716	C₄×C₁₃	#537	1	2	yes	—
717	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
718	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
719	C₂×#41	—	2	2	no	—
720	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
722	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
723	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
724	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
725	C₂³×C₄	—	2	1	no	—
726	AGL(1,ℤ/8)	—	4	2	no	—
727	AGL(1,ℤ/8)	—	4	2	no	—
728	#135	—	4	2	no	—
729	#135	—	4	2	no	—
730	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
732	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
734	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
735	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
736	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
737	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
738	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
739	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
740	C₂×D₈	C₂³×C₁₃	1	2	yes	—
741	C₂×D₈	C₂³×C₁₃	1	2	yes	—
742	#131	—	4	2	no	—
743	#131	—	4	2	no	—
744	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
745	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
746	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
748	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
749	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
750	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
751	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
752	C₄⋊Q₈	—	2	1	no	—
753	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
754	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	#127	—	2	1	no	—
756	#127	C₂³×C₁₃	1	2	yes	—
757	#127	C₂³×C₁₃	1	1	yes	characteristic
758	#126	—	2	2	no	—
759	#126	—	2	2	no	—
760	#126	—	2	2	no	—
761	#126	—	2	2	no	—
762	#126	—	2	2	no	—
763	#126	—	2	2	no	—
764	#125	—	2	1	no	—
765	#125	—	2	2	no	—
766	#125	—	2	2	no	—
767	#125	—	2	1	no	—
768	#125	—	2	1	no	—
769	#125	C₂³×C₁₃	1	2	yes	—
770	#125	C₂³×C₁₃	1	2	yes	—
771	#125	C₂³×C₁₃	1	2	yes	—
772	#124	—	2	1	no	—
773	#124	—	2	2	no	—
774	#124	—	2	2	no	—
775	#124	C₂³×C₁₃	1	2	yes	—
776	#124	C₂³×C₁₃	1	1	yes	characteristic
777	#124	C₂³×C₁₃	1	1	yes	characteristic
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	#123	—	2	2	no	—
782	#123	—	2	2	no	—
783	#123	—	2	2	no	—
784	#123	—	2	2	no	—
785	#123	—	2	2	no	—
786	C₂²⋊Q₈	—	2	1	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	2	1	no	—
789	C₂²⋊Q₈	—	2	2	no	—
790	C₂²⋊Q₈	—	2	2	no	—
791	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
792	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
793	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
794	#121	—	2	2	no	—
795	#121	—	2	1	no	—
796	#121	—	2	1	no	—
797	#121	—	2	1	no	—
798	#121	—	2	2	no	—
799	#121	—	2	2	no	—
800	#121	—	2	2	no	—
801	#121	—	2	1	no	—
802	#121	—	2	1	no	—
803	#121	—	2	1	no	—
804	#121	—	2	1	no	—
805	#121	—	2	2	no	—
806	#121	—	2	2	no	—
807	#121	—	2	2	no	—
808	#121	—	2	2	no	—
809	#121	C₂³×C₁₃	1	2	yes	—
810	#121	C₂³×C₁₃	1	2	yes	—
811	#121	C₂³×C₁₃	1	2	yes	—
812	#121	C₂³×C₁₃	1	2	yes	—
813	#121	C₂³×C₁₃	1	2	yes	—
814	#120	—	2	2	no	—
815	#120	—	2	2	no	—
816	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
817	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
818	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
819	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
820	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
821	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	2	no	—
825	C₄×D₄	—	2	2	no	—
826	C₄×D₄	—	2	2	no	—
827	C₄×D₄	—	2	2	no	—
828	C₄×D₄	—	2	2	no	—
829	C₄×D₄	—	2	1	no	—
830	C₄×D₄	—	2	1	no	—
831	C₄×D₄	—	2	2	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	D₄×C₁₃	1	2	yes	—
835	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
836	C₄×D₄	D₄×C₁₃	1	2	yes	—
837	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
838	C₄×D₄	C₂³×C₁₃	1	2	yes	—
839	C₄×D₄	C₂³×C₁₃	1	2	yes	—
840	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
841	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
842	C₄×D₄	C₂³×C₁₃	1	2	yes	—
843	C₄×D₄	C₂³×C₁₃	1	2	yes	—
844	#117	—	2	1	no	—
845	#117	—	2	1	no	—
846	#117	—	2	1	no	—
847	#117	—	2	2	no	—
848	#117	—	2	2	no	—
849	#117	—	2	2	no	—
850	#117	C₂³×C₁₃	1	1	yes	characteristic
851	#117	C₂³×C₁₃	1	1	yes	characteristic
852	#117	C₂³×C₁₃	1	2	yes	—
853	C₂×C₄⋊C₄	—	2	1	no	—
854	C₂×C₄⋊C₄	—	2	1	no	—
855	C₂×C₄⋊C₄	—	2	1	no	—
856	C₂×C₄⋊C₄	—	2	1	no	—
857	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	—	2	1	no	—
861	C₂×C₄²	—	2	1	no	—
862	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
863	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
864	#107	C₂³×C₁₃	1	2	yes	—
865	#107	C₂³×C₁₃	1	2	yes	—
866	#107	C₂³×C₁₃	1	2	yes	—
867	#107	C₂³×C₁₃	1	2	yes	—
868	#106	C₂³×C₁₃	1	2	yes	—
869	#106	C₂³×C₁₃	1	2	yes	—
870	#106	C₂³×C₁₃	1	2	yes	—
871	#106	C₂³×C₁₃	1	2	yes	—
872	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
873	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
877	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
878	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
879	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
880	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
881	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
882	#103	C₂³×C₁₃	1	1	yes	characteristic
883	#103	C₂³×C₁₃	1	1	yes	characteristic
884	#103	C₂³×C₁₃	1	1	yes	characteristic
885	#103	C₂³×C₁₃	1	1	yes	characteristic
886	#103	C₂³×C₁₃	1	2	yes	—
887	#103	C₂³×C₁₃	1	2	yes	—
888	#103	C₂³×C₁₃	1	2	yes	—
889	#103	C₂³×C₁₃	1	2	yes	—
890	#102	C₂³×C₁₃	1	2	yes	—
891	#102	C₂³×C₁₃	1	2	yes	—
892	#102	C₂³×C₁₃	1	2	yes	—
893	#102	C₂³×C₁₃	1	2	yes	—
894	#102	C₂³×C₁₃	1	1	yes	characteristic
895	#102	C₂³×C₁₃	1	1	yes	characteristic
896	#102	C₂³×C₁₃	1	1	yes	characteristic
897	#102	C₂³×C₁₃	1	1	yes	characteristic
898	#102	C₂³×C₁₃	1	2	yes	—
899	#102	C₂³×C₁₃	1	2	yes	—
900	#102	C₂³×C₁₃	1	2	yes	—
901	#102	C₂³×C₁₃	1	2	yes	—
902	C₂×C₁₃	—	2	2	no	—
903	C₂×C₁₃	—	4	2	no	—
904	C₂×C₁₃	—	8	1	no	—
905	C₂×C₁₃	—	8	1	no	—
906	C₂×C₁₃	—	8	1	no	—
907	C₂×C₁₃	—	8	2	no	—
908	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
909	C₂×C₁₃	#3584	1	1	yes	characteristic
910	C₂×C₁₃	#3585	1	1	yes	characteristic
911	C₂⁴	—	2	1	no	—
912	#41	—	2	2	no	—
913	#41	—	2	2	no	—
914	#41	—	2	2	no	—
915	#41	—	2	2	no	—
916	#41	—	2	2	no	—
917	#41	—	2	2	no	—
918	#41	—	2	2	no	—
919	#41	—	2	2	no	—
920	#41	—	8	4	no	—
921	C₂×Q₈	—	2	2	no	—
922	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
923	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
924	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	1	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	1	no	—
937	C₂×D₄	—	2	1	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
942	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
943	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
946	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₂²×C₄	—	2	1	no	—
948	C₂²×C₄	—	2	1	no	—
949	C₂²×C₄	—	2	1	no	—
950	C₂²×C₄	—	2	1	no	—
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	1	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	2	no	—
955	C₂²×C₄	—	2	1	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	8	2	no	—
960	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
961	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
963	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
964	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
965	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
966	Q₁₆	—	4	1	no	—
967	Q₁₆	—	4	1	no	—
968	SD₁₆	—	4	1	no	—
969	SD₁₆	—	4	1	no	—
970	SD₁₆	—	4	1	no	—
971	SD₁₆	—	4	1	no	—
972	SD₁₆	—	4	2	no	—
973	SD₁₆	—	4	2	no	—
974	D₈	—	4	1	no	—
975	D₈	—	4	1	no	—
976	D₈	—	4	2	no	—
977	D₈	—	4	2	no	—
978	M₁₆	—	2	2	no	—
979	M₁₆	—	2	2	no	—
980	M₁₆	—	4	2	no	—
981	M₁₆	—	4	2	no	—
982	C₂×C₈	—	2	2	no	—
983	C₂×C₈	—	2	2	no	—
984	C₂×C₈	—	4	2	no	—
985	C₂×C₈	—	4	2	no	—
986	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
987	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
990	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
991	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	1	no	—
1002	C₄⋊C₄	—	2	1	no	—
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	1	no	—
1010	C₄⋊C₄	—	2	1	no	—
1011	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1014	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1015	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1016	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1017	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1018	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1019	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	1	no	—
1027	C₂²⋊C₄	—	2	1	no	—
1028	C₂²⋊C₄	—	2	1	no	—
1029	C₂²⋊C₄	—	2	1	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	1	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1042	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1043	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	2	1	no	—
1047	C₄²	—	2	2	no	—
1048	C₄²	—	2	2	no	—
1049	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1050	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1051	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1052	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1053	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1054	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1055	C₄²	C₂⁴×C₁₃	1	2	yes	—
1056	C₁₃	#60933	1	1	yes	characteristic, direct product factor, Sylow
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	2	1	no	—
1061	C₂³	—	4	2	no	—
1062	C₂³	—	8	1	no	—
1063	C₂³	—	8	1	no	—
1064	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1065	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1066	Q₈	—	2	2	no	—
1067	Q₈	—	2	1	no	—
1068	Q₈	—	2	1	no	—
1069	Q₈	—	2	1	no	—
1070	Q₈	—	2	1	no	—
1071	Q₈	—	2	1	no	—
1072	Q₈	—	2	1	no	—
1073	Q₈	—	8	2	no	—
1074	D₄	—	2	4	no	—
1075	D₄	—	2	2	no	—
1076	D₄	—	2	1	no	—
1077	D₄	—	2	1	no	—
1078	D₄	—	2	2	no	—
1079	D₄	—	2	1	no	—
1080	D₄	—	2	2	no	—
1081	D₄	—	2	1	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	2	1	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	2	no	—
1086	D₄	—	4	2	no	—
1087	D₄	—	4	2	no	—
1088	D₄	—	8	1	no	—
1089	D₄	—	8	2	no	—
1090	D₄	—	8	1	no	—
1091	D₄	—	8	2	no	—
1092	D₄	—	8	2	no	—
1093	D₄	—	8	2	no	—
1094	D₄	—	8	2	no	—
1095	D₄	—	8	2	no	—
1096	D₄	—	8	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	1	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	4	2	no	—
1114	C₂×C₄	—	4	2	no	—
1115	C₂×C₄	—	4	2	no	—
1116	C₂×C₄	—	8	2	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	1	no	—
1119	C₂×C₄	—	8	2	no	—
1120	C₂×C₄	—	8	1	no	—
1121	C₂×C₄	—	8	1	no	—
1122	C₂×C₄	—	8	1	no	—
1123	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1124	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1125	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1126	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1127	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1128	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1129	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1130	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1131	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1132	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1133	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1134	C₈	—	2	1	no	—
1135	C₈	—	2	1	no	—
1136	C₈	—	2	1	no	—
1137	C₈	—	2	1	no	—
1138	C₈	—	2	2	no	—
1139	C₈	—	2	2	no	—
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	2	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	1	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	1	no	—
1155	C₂²	—	4	1	no	—
1156	C₂²	—	4	2	no	—
1157	C₂²	—	8	4	no	—
1158	C₂²	C₁₃×#537	1	2	yes	—
1159	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1160	C₄	—	2	1	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	1	no	—
1164	C₄	—	2	1	no	—
1165	C₄	—	2	2	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	4	2	no	—
1168	C₄	—	4	1	no	—
1169	C₄	—	4	2	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	2	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	1	no	—
1175	C₄	C₁₃×#537	1	2	yes	—
1176	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1177	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1178	C₂	—	2	2	no	—
1179	C₂	—	4	2	no	—
1180	C₂	—	8	2	no	—
1181	C₂	—	8	1	no	—
1182	C₂	—	8	1	no	—
1183	C₂	—	8	1	no	—
1184	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
1185	C₂	C₁₃×#3584	1	1	yes	characteristic
1186	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3512	C₂	semidirect
2. C₁₃×#3460	C₂	semidirect
3. C₁₃×#3260	C₂	semidirect
4. C₁₃×#3259	C₂	semidirect
5. C₁₃×#3258	C₂	semidirect
6. C₁₃×#3257	C₂	semidirect
7. C₁₃×#3256	C₂	semidirect
8. C₁₃×#3251	C₂	semidirect
9. C₁₃×#3250	C₂	semidirect
10. C₁₃×#3247	C₂	semidirect
11. C₁₃×#3084	C₂	semidirect
12. C₁₃×#3083	C₂	semidirect
13. C₁₃×#3080	C₂	semidirect
14. C₂×C₁₃×#478	C₂	semidirect
15. C₁₃×#3062	C₂	semidirect
16. C₁₃×#3062	C₂	semidirect
17. C₁₃×#3061	C₂	semidirect
18. C₁₃×#3060	C₂	semidirect
19. C₁₃×#3045	C₂	semidirect
20. C₁₃×#3045	C₂	semidirect
21. C₁₃×#3036	C₂	semidirect
22. C₁₃×#3035	C₂	semidirect
23. C₁₃×#2906	C₂	semidirect
39. C₁₃×#541	C₂²	semidirect
42. C₁₃×#540	C₂²	semidirect
54. C₁₃×#529	C₂²	semidirect
55. C₁₃×#529	C₂²	semidirect
63. C₁₃×#479	C₂²	semidirect
64. C₁₃×#479	C₂²	semidirect
65. C₁₃×#479	C₂²	semidirect
66. C₁₃×#479	C₂²	semidirect
71. C₁₃×#478	C₂²	semidirect
72. C₁₃×#478	C₂²	semidirect
73. C₁₃×#478	C₂²	semidirect
74. C₁₃×#478	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
76. C₁₃×#476	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
79. C₁₃×#470	C₂²	semidirect
82. C₁₃×#469	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
90. C₁₃×#466	C₂²	semidirect
93. C₁₃×#465	C₂²	semidirect
94. C₁₃×#465	C₂²	semidirect
97. C₁₃×#464	C₂²	semidirect
98. C₁₃×#464	C₂²	semidirect
103. C₁₃×#463	C₂²	semidirect
104. C₁₃×#463	C₂²	semidirect
105. C₁₃×#462	C₂²	semidirect
107. C₁₃×#461	C₂²	semidirect
110. C₁₃×#460	C₂²	semidirect
114. C₁₃×#459	C₂²	semidirect
121. C₁₃×#424	C₂²	semidirect
122. C₁₃×#424	C₂²	semidirect
124. C₁₃×#423	C₂²	semidirect
126. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
318. #60933	C₁₃	direct (N × H)
464. #3512	C₂×C₁₃	semidirect
465. #3460	C₂×C₁₃	semidirect
466. #3260	C₂×C₁₃	semidirect
467. #3259	C₂×C₁₃	semidirect
468. #3258	C₂×C₁₃	semidirect
469. #3257	C₂×C₁₃	semidirect
470. #3256	C₂×C₁₃	semidirect
471. #3251	C₂×C₁₃	semidirect
472. #3250	C₂×C₁₃	semidirect
473. #3247	C₂×C₁₃	semidirect
474. #3084	C₂×C₁₃	semidirect
475. #3083	C₂×C₁₃	semidirect
476. #3080	C₂×C₁₃	semidirect
477. C₂×#478	C₂×C₁₃	semidirect
478. #3062	C₂×C₁₃	semidirect
479. #3062	C₂×C₁₃	semidirect
480. #3061	C₂×C₁₃	semidirect
481. #3060	C₂×C₁₃	semidirect
482. #3045	C₂×C₁₃	semidirect
483. #3045	C₂×C₁₃	semidirect
484. #3036	C₂×C₁₃	semidirect
485. #3035	C₂×C₁₃	semidirect
486. #2906	C₂×C₁₃	semidirect
585. #541	C₂²×C₁₃	semidirect
588. #540	C₂²×C₁₃	semidirect
600. #529	C₂²×C₁₃	semidirect
601. #529	C₂²×C₁₃	semidirect
609. #479	C₂²×C₁₃	semidirect
610. #479	C₂²×C₁₃	semidirect
611. #479	C₂²×C₁₃	semidirect
612. #479	C₂²×C₁₃	semidirect
617. #478	C₂²×C₁₃	semidirect
618. #478	C₂²×C₁₃	semidirect
619. #478	C₂²×C₁₃	semidirect
620. #478	C₂²×C₁₃	semidirect
621. #477	C₂²×C₁₃	semidirect
622. #476	C₂²×C₁₃	semidirect
623. #475	C₂²×C₁₃	semidirect
624. #474	C₂²×C₁₃	semidirect
625. #470	C₂²×C₁₃	semidirect
628. #469	C₂²×C₁₃	semidirect
631. #468	C₂²×C₁₃	semidirect
632. #468	C₂²×C₁₃	semidirect
633. #467	C₂²×C₁₃	semidirect
636. #466	C₂²×C₁₃	semidirect
639. #465	C₂²×C₁₃	semidirect
640. #465	C₂²×C₁₃	semidirect
643. #464	C₂²×C₁₃	semidirect
644. #464	C₂²×C₁₃	semidirect
649. #463	C₂²×C₁₃	semidirect
650. #463	C₂²×C₁₃	semidirect
651. #462	C₂²×C₁₃	semidirect
653. #461	C₂²×C₁₃	semidirect
656. #460	C₂²×C₁₃	semidirect
660. #459	C₂²×C₁₃	semidirect
667. #424	C₂²×C₁₃	semidirect
668. #424	C₂²×C₁₃	semidirect
670. #423	C₂²×C₁₃	semidirect
672. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1056. C₁₃	#60933	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×#3512	2
C₁₃×#3460	2
C₁₃×#3260	2
C₁₃×#3259	2
C₁₃×#3258	2
C₁₃×#3257	2
C₁₃×#3256	2
C₁₃×#3251	2
C₁₃×#3250	2
C₁₃×#3247	2
C₁₃×#3084	2
C₁₃×#3083	2
C₁₃×#3080	2
C₂×C₁₃×#478	2
C₁₃×#3062	2
C₁₃×#3061	2
C₁₃×#3060	2
C₁₃×#3045	2
C₁₃×#3036	2
C₁₃×#3035	2
C₁₃×#2906	2
#60933	13

Subgroups — C13×#60933 #15747272

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60933 #15747272