Subgroups — C₁₃×#61423 #15747762

Order 3328.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3402	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3400	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3398	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3394	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3393	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3156	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3154	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3153	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3044	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3042	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2962	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
31	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
32	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
33	C₁₃×#559	C₂²	1	2	yes	—
34	C₁₃×#559	C₂²	1	2	yes	—
35	C₁₃×#559	C₂²	1	2	yes	complemented
36	C₁₃×#557	C₂²	1	2	yes	complemented
37	C₁₃×#556	—	2	1	no	—
38	C₁₃×#556	C₂²	1	2	yes	—
39	C₁₃×#556	C₂²	1	2	yes	—
40	C₁₃×#556	C₂²	1	2	yes	complemented
41	C₁₃×#556	C₂²	1	2	yes	complemented
42	C₁₃×#554	—	2	1	no	—
43	C₁₃×#552	—	2	1	no	—
44	C₁₃×#552	—	2	1	no	—
45	C₁₃×#551	—	2	2	no	—
46	C₁₃×#551	—	2	2	no	—
47	C₁₃×#542	—	2	1	no	—
48	C₁₃×#542	—	2	1	no	—
49	C₁₃×#539	—	2	2	no	—
50	C₁₃×#536	C₂²	1	1	yes	characteristic
51	C₁₃×#536	C₂²	1	1	yes	characteristic
52	C₁₃×#536	C₂²	1	1	yes	characteristic
53	C₁₃×#535	C₂²	1	1	yes	characteristic
54	C₁₃×#533	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	—	2	1	no	—
58	C₁₃×#529	—	2	2	no	—
59	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
60	C₁₃×#520	C₂²	1	1	yes	characteristic
61	C₁₃×#520	C₂²	1	1	yes	characteristic
62	C₁₃×#519	C₂²	1	1	yes	characteristic
63	C₁₃×#518	C₂²	1	1	yes	characteristic
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
65	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
66	C₁₃×#497	C₂²	1	2	yes	—
67	C₁₃×#497	C₂²	1	2	yes	—
68	C₁₃×#497	C₂²	1	2	yes	complemented
69	C₁₃×#497	C₂²	1	2	yes	complemented
70	C₁₃×#496	C₂²	1	2	yes	—
71	C₁₃×#496	C₂²	1	2	yes	—
72	C₁₃×#495	C₂²	1	2	yes	—
73	C₁₃×#495	C₂²	1	2	yes	—
74	C₁₃×#495	C₂²	1	2	yes	—
75	C₁₃×#495	C₂²	1	2	yes	complemented
76	C₁₃×#494	C₂²	1	2	yes	complemented
77	C₁₃×#492	C₂²	1	2	yes	—
78	C₁₃×#464	C₂²	1	2	yes	—
79	C₁₃×#464	C₂²	1	2	yes	—
80	C₁₃×#464	C₂²	1	2	yes	—
81	C₁₃×#464	C₂²	1	2	yes	—
82	C₁₃×#464	C₂²	1	2	yes	—
83	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#464	C₂²	1	2	yes	complemented
86	C₁₃×#464	C₂²	1	2	yes	complemented
87	C₁₃×#464	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	—
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#462	C₂²	1	2	yes	complemented
96	C₁₃×#462	C₂²	1	2	yes	complemented
97	C₁₃×#462	C₂²	1	2	yes	complemented
98	C₁₃×#461	C₂²	1	2	yes	—
99	C₁₃×#461	C₂²	1	2	yes	—
100	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#461	C₂²	1	2	yes	complemented
102	C₁₃×#460	C₂²	1	2	yes	—
103	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#459	C₂²	1	2	yes	—
105	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#446	C₂²	1	2	yes	complemented
107	C₁₃×#446	C₂²	1	2	yes	complemented
108	C₁₃×#446	C₂²	1	2	yes	complemented
109	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
110	C₁₃×#442	C₂²	1	2	yes	—
111	C₁₃×#441	C₂²	1	2	yes	complemented
112	C₁₃×#441	C₂²	1	2	yes	complemented
113	C₁₃×#440	C₂²	1	2	yes	—
114	C₁₃×#440	C₂²	1	2	yes	complemented
115	C₁₃×#440	C₂²	1	2	yes	complemented
116	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
117	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
118	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
119	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
120	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
121	C₄×C₁₃×D₈	C₂²	1	2	yes	—
122	C₁₃×#428	C₂²	1	1	yes	characteristic
123	C₁₃×#424	C₂²	1	1	yes	characteristic
124	C₁₃×#424	C₂²	1	1	yes	characteristic
125	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₁₃×#419	C₂²	1	1	yes	characteristic
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#416	C₂²	1	1	yes	characteristic
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
132	C₁₃×#405	C₂²	1	1	yes	characteristic
133	C₁₃×#405	C₂²	1	1	yes	characteristic
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₁₃×#137	—	2	4	no	—
142	C₁₃×#137	—	2	4	no	—
143	C₁₃×#137	—	4	2	no	—
144	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
145	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
146	C₁₃×#135	—	4	2	no	—
147	C₁₃×#135	—	4	2	no	—
148	C₂×C₁₃×Q₁₆	—	4	2	no	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	—	4	2	no	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
165	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
166	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
167	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
168	C₂×C₁₃×D₈	C₂³	1	2	yes	—
169	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
170	C₂×C₁₃×D₈	C₂³	1	2	yes	—
171	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
173	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
174	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
175	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
176	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
177	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
178	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
179	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
180	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
181	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
182	C₁₃×#127	C₂³	1	2	yes	—
183	C₁₃×#127	C₂³	1	1	yes	characteristic
184	C₁₃×#126	—	2	2	no	—
185	C₁₃×#126	—	2	2	no	—
186	C₁₃×#126	—	2	2	no	—
187	C₁₃×#126	—	2	2	no	—
188	C₁₃×#126	—	2	2	no	—
189	C₁₃×#126	—	2	2	no	—
190	C₁₃×#126	—	2	2	no	—
191	C₁₃×#126	—	2	2	no	—
192	C₁₃×#125	—	2	2	no	—
193	C₁₃×#125	—	2	2	no	—
194	C₁₃×#125	—	2	2	no	—
195	C₁₃×#125	D₄	1	1	yes	characteristic
196	C₁₃×#125	D₄	1	1	yes	characteristic
197	C₁₃×#124	—	2	2	no	—
198	C₁₃×#124	—	2	2	no	—
199	C₁₃×#124	—	2	2	no	—
200	C₁₃×#124	—	2	1	no	—
201	C₁₃×#124	—	2	1	no	—
202	C₁₃×#124	C₂³	1	2	yes	—
203	C₁₃×#124	C₂³	1	2	yes	—
204	C₁₃×#124	C₂³	1	1	yes	characteristic
205	C₁₃×#124	C₂³	1	1	yes	characteristic
206	C₁₃×#124	C₂³	1	2	yes	—
207	C₁₃×#124	C₂³	1	2	yes	—
208	C₁₃×#124	C₂³	1	2	yes	—
209	C₁₃×#124	C₂³	1	2	yes	—
210	C₁₃×#123	—	2	2	no	—
211	C₁₃×#123	—	2	2	no	—
212	C₁₃×#123	—	2	2	no	—
213	C₁₃×#123	—	2	2	no	—
214	C₁₃×#123	—	2	2	no	—
215	C₁₃×#123	—	2	2	no	—
216	C₁₃×#123	—	2	2	no	—
217	C₁₃×#123	—	2	2	no	—
218	C₁₃×#123	—	2	2	no	—
219	C₁₃×C₂²⋊Q₈	—	2	2	no	—
220	C₁₃×C₂²⋊Q₈	—	2	2	no	—
221	C₁₃×C₂²⋊Q₈	—	2	2	no	—
222	C₁₃×C₂²⋊Q₈	—	2	2	no	—
223	C₁₃×C₂²⋊Q₈	—	2	1	no	—
224	C₁₃×C₂²⋊Q₈	—	2	1	no	—
225	C₁₃×C₂²⋊Q₈	—	2	1	no	—
226	C₁₃×C₂²⋊Q₈	—	2	1	no	—
227	C₁₃×C₂²⋊Q₈	—	2	1	no	—
228	C₁₃×C₂²⋊Q₈	—	2	1	no	—
229	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
230	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#120	—	2	2	no	—
236	C₄×Q₈×C₁₃	—	2	2	no	—
237	C₄×Q₈×C₁₃	—	2	1	no	—
238	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	no	—
240	C₄×Q₈×C₁₃	—	2	1	no	—
241	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
244	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
250	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	2	no	—
256	C₄×D₄×C₁₃	—	2	2	no	—
257	C₄×D₄×C₁₃	—	2	2	no	—
258	C₄×D₄×C₁₃	—	2	2	no	—
259	C₄×D₄×C₁₃	—	2	2	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	C₂³	1	2	yes	—
263	C₄×D₄×C₁₃	C₂³	1	2	yes	—
264	C₄×D₄×C₁₃	C₂³	1	2	yes	—
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	2	yes	—
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₁₃×#117	—	2	1	no	—
269	C₁₃×#117	—	2	1	no	—
270	C₁₃×#117	—	2	2	no	—
271	C₁₃×#117	—	2	2	no	—
272	C₁₃×#117	—	2	2	no	—
273	C₁₃×#117	—	2	2	no	—
274	C₁₃×#117	—	2	2	no	—
275	C₁₃×#117	—	2	1	no	—
276	C₁₃×#117	C₂³	1	1	yes	characteristic
277	C₁₃×#117	C₂³	1	1	yes	characteristic
278	C₁₃×#117	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
280	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
281	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
284	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
285	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
286	C₂×C₄²×C₁₃	—	2	1	no	—
287	C₂×C₄²×C₁₃	—	2	1	no	—
288	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
289	C₁₃×#107	C₂³	1	2	yes	—
290	C₁₃×#106	C₂³	1	2	yes	—
291	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
294	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
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×C₄⋊C₈	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#103	C₂³	1	1	yes	characteristic
302	C₁₃×#103	C₂³	1	1	yes	characteristic
303	C₁₃×#103	C₂³	1	1	yes	characteristic
304	C₁₃×#103	C₂³	1	1	yes	characteristic
305	C₁₃×#103	C₂³	1	2	yes	—
306	C₁₃×#103	C₂³	1	2	yes	—
307	C₁₃×#103	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×#97	C₂³	1	2	yes	—
316	C₁₃×#97	C₂³	1	2	yes	—
317	C₁₃×#97	C₂³	1	2	yes	—
318	C₄×C₈×C₁₃	C₂³	1	2	yes	—
319	C₄×C₈×C₁₃	C₂³	1	2	yes	—
320	C₄×C₈×C₁₃	C₂³	1	2	yes	—
321	#61423	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
322	C₂⁴×C₁₃	—	2	1	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	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	2	1	no	—
330	C₂×Q₈×C₁₃	—	2	1	no	—
331	C₂×Q₈×C₁₃	—	2	2	no	—
332	C₂×Q₈×C₁₃	—	2	2	no	—
333	C₂×Q₈×C₁₃	—	2	2	no	—
334	C₂×Q₈×C₁₃	—	2	2	no	—
335	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
336	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
337	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
338	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
339	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
340	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
341	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	—	2	1	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	1	no	—
347	C₂×D₄×C₁₃	—	2	2	no	—
348	C₂×D₄×C₁₃	—	2	2	no	—
349	C₂×D₄×C₁₃	—	2	1	no	—
350	C₂×D₄×C₁₃	—	2	2	no	—
351	C₂×D₄×C₁₃	—	2	2	no	—
352	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	1	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	—	2	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	C₂⁴	1	1	yes	characteristic
371	C₁₃×Q₁₆	—	2	4	no	—
372	C₁₃×Q₁₆	—	2	4	no	—
373	C₁₃×Q₁₆	—	4	2	no	—
374	C₁₃×Q₁₆	—	4	2	no	—
375	C₁₃×Q₁₆	—	4	1	no	—
376	C₁₃×Q₁₆	—	4	1	no	—
377	C₁₃×Q₁₆	—	4	2	no	—
378	C₁₃×SD₁₆	—	2	4	no	—
379	C₁₃×SD₁₆	—	2	4	no	—
380	C₁₃×SD₁₆	—	2	4	no	—
381	C₁₃×SD₁₆	—	4	2	no	—
382	C₁₃×SD₁₆	—	4	2	no	—
383	C₁₃×SD₁₆	—	4	1	no	—
384	C₁₃×SD₁₆	—	4	1	no	—
385	C₁₃×SD₁₆	—	4	1	no	—
386	C₁₃×SD₁₆	—	4	1	no	—
387	C₁₃×SD₁₆	—	4	2	no	—
388	C₁₃×SD₁₆	—	4	2	no	—
389	C₁₃×D₈	—	2	4	no	—
390	C₁₃×D₈	—	4	1	no	—
391	C₁₃×D₈	—	4	1	no	—
392	C₁₃×D₈	—	4	2	no	—
393	C₁₃×M₁₆	—	2	2	no	—
394	C₁₃×M₁₆	#41	1	4	yes	—
395	C₂×C₈×C₁₃	—	2	2	no	—
396	C₂×C₈×C₁₃	—	2	2	no	—
397	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
400	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
403	C₁₃×C₄⋊C₄	—	2	1	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	2	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	1	no	—
417	C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₁₃×C₄⋊C₄	—	2	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
422	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
424	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
425	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
426	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
427	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
428	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
429	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
430	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
431	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
432	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	—	2	1	no	—
441	C₁₃×C₂²⋊C₄	—	2	1	no	—
442	C₁₃×C₂²⋊C₄	—	2	1	no	—
443	C₁₃×C₂²⋊C₄	—	2	1	no	—
444	C₁₃×C₂²⋊C₄	—	2	2	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	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	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	1	no	—
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	2	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
457	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
458	C₄²×C₁₃	—	2	1	no	—
459	C₄²×C₁₃	—	2	1	no	—
460	C₄²×C₁₃	—	2	2	no	—
461	C₄²×C₁₃	—	2	1	no	—
462	C₄²×C₁₃	—	2	2	no	—
463	C₄²×C₁₃	—	2	2	no	—
464	C₄²×C₁₃	—	2	2	no	—
465	C₄²×C₁₃	—	2	2	no	—
466	C₄²×C₁₃	—	2	2	no	—
467	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
468	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
469	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
470	C₄²×C₁₃	C₂⁴	1	2	yes	—
471	C₄²×C₁₃	C₂⁴	1	2	yes	—
472	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
473	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3507	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3403	C₂×C₁₃	1	2	yes	complemented
476	#3402	C₂×C₁₃	1	2	yes	complemented
477	#3401	C₂×C₁₃	1	2	yes	complemented
478	#3401	C₂×C₁₃	1	2	yes	complemented
479	#3400	C₂×C₁₃	1	2	yes	complemented
480	#3398	C₂×C₁₃	1	2	yes	complemented
481	#3394	C₂×C₁₃	1	2	yes	complemented
482	#3393	C₂×C₁₃	1	2	yes	complemented
483	#3156	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#3154	C₂×C₁₃	1	1	yes	characteristic, complemented
485	#3153	C₂×C₁₃	1	1	yes	characteristic, complemented
486	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
487	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
488	#3044	C₂×C₁₃	1	1	yes	characteristic, complemented
489	#3042	C₂×C₁₃	1	1	yes	characteristic, complemented
490	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
491	C₂×#464	C₂×C₁₃	1	1	yes	characteristic, complemented
492	#2962	C₂×C₁₃	1	1	yes	characteristic, complemented
493	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
494	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
495	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
496	C₂³×C₁₃	—	2	1	no	—
497	C₂³×C₁₃	—	2	1	no	—
498	C₂³×C₁₃	—	2	2	no	—
499	C₂³×C₁₃	—	2	1	no	—
500	C₂³×C₁₃	—	4	2	no	—
501	C₂³×C₁₃	—	8	1	no	—
502	C₂³×C₁₃	—	8	1	no	—
503	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
504	Q₈×C₁₃	—	2	1	no	—
505	Q₈×C₁₃	—	2	2	no	—
506	Q₈×C₁₃	—	2	2	no	—
507	Q₈×C₁₃	—	2	1	no	—
508	Q₈×C₁₃	—	2	1	no	—
509	Q₈×C₁₃	—	2	1	no	—
510	Q₈×C₁₃	—	2	2	no	—
511	Q₈×C₁₃	—	2	1	no	—
512	Q₈×C₁₃	—	2	2	no	—
513	Q₈×C₁₃	—	2	1	no	—
514	Q₈×C₁₃	—	4	2	no	—
515	Q₈×C₁₃	—	4	2	no	—
516	Q₈×C₁₃	—	4	2	no	—
517	Q₈×C₁₃	—	4	2	no	—
518	D₄×C₁₃	—	2	1	no	—
519	D₄×C₁₃	—	2	2	no	—
520	D₄×C₁₃	—	2	1	no	—
521	D₄×C₁₃	—	2	1	no	—
522	D₄×C₁₃	—	2	1	no	—
523	D₄×C₁₃	—	2	1	no	—
524	D₄×C₁₃	—	2	2	no	—
525	D₄×C₁₃	—	2	1	no	—
526	D₄×C₁₃	—	4	2	no	—
527	D₄×C₁₃	—	4	2	no	—
528	D₄×C₁₃	—	4	2	no	—
529	D₄×C₁₃	—	4	2	no	—
530	D₄×C₁₃	—	4	2	no	—
531	D₄×C₁₃	—	8	1	no	—
532	D₄×C₁₃	—	8	2	no	—
533	D₄×C₁₃	—	8	2	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	2	no	—
537	C₂×C₄×C₁₃	—	2	2	no	—
538	C₂×C₄×C₁₃	—	2	1	no	—
539	C₂×C₄×C₁₃	—	2	2	no	—
540	C₂×C₄×C₁₃	—	2	1	no	—
541	C₂×C₄×C₁₃	—	2	1	no	—
542	C₂×C₄×C₁₃	—	4	1	no	—
543	C₂×C₄×C₁₃	—	4	1	no	—
544	C₂×C₄×C₁₃	—	4	2	no	—
545	C₂×C₄×C₁₃	—	4	2	no	—
546	C₂×C₄×C₁₃	—	4	2	no	—
547	C₂×C₄×C₁₃	—	4	2	no	—
548	C₂×C₄×C₁₃	—	4	2	no	—
549	C₂×C₄×C₁₃	—	8	1	no	—
550	C₂×C₄×C₁₃	—	8	2	no	—
551	C₂×C₄×C₁₃	—	8	2	no	—
552	C₂×C₄×C₁₃	—	8	2	no	—
553	C₂×C₄×C₁₃	—	8	1	no	—
554	C₂×C₄×C₁₃	—	8	2	no	—
555	C₂×C₄×C₁₃	—	8	1	no	—
556	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	2	yes	—
561	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
562	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
563	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
564	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
566	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
567	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
568	C₈×C₁₃	—	2	1	no	—
569	C₈×C₁₃	—	2	1	no	—
570	C₈×C₁₃	—	2	1	no	—
571	C₈×C₁₃	—	2	1	no	—
572	C₈×C₁₃	—	2	2	no	—
573	C₈×C₁₃	C₂×#41	1	4	yes	—
574	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
575	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
576	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
577	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
578	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
579	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
580	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
581	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
582	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
583	#559	C₂²×C₁₃	1	2	yes	—
584	#559	C₂²×C₁₃	1	2	yes	—
585	#559	C₂²×C₁₃	1	2	yes	complemented
586	#557	C₂²×C₁₃	1	2	yes	complemented
587	#556	—	2	1	no	—
588	#556	C₂²×C₁₃	1	2	yes	—
589	#556	C₂²×C₁₃	1	2	yes	—
590	#556	C₂²×C₁₃	1	2	yes	complemented
591	#556	C₂²×C₁₃	1	2	yes	complemented
592	#554	—	2	1	no	—
593	#552	—	2	1	no	—
594	#552	—	2	1	no	—
595	#551	—	2	2	no	—
596	#551	—	2	2	no	—
597	#542	—	2	1	no	—
598	#542	—	2	1	no	—
599	#539	—	2	2	no	—
600	#536	C₂²×C₁₃	1	1	yes	characteristic
601	#536	C₂²×C₁₃	1	1	yes	characteristic
602	#536	C₂²×C₁₃	1	1	yes	characteristic
603	#535	C₂²×C₁₃	1	1	yes	characteristic
604	#533	C₂²×C₁₃	1	1	yes	characteristic
605	#532	C₂²×C₁₃	1	1	yes	characteristic
606	#529	—	2	1	no	—
607	#529	—	2	1	no	—
608	#529	—	2	2	no	—
609	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
610	#520	C₂²×C₁₃	1	1	yes	characteristic
611	#520	C₂²×C₁₃	1	1	yes	characteristic
612	#519	C₂²×C₁₃	1	1	yes	characteristic
613	#518	C₂²×C₁₃	1	1	yes	characteristic
614	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
615	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
616	#497	C₂²×C₁₃	1	2	yes	—
617	#497	C₂²×C₁₃	1	2	yes	—
618	#497	C₂²×C₁₃	1	2	yes	complemented
619	#497	C₂²×C₁₃	1	2	yes	complemented
620	#496	C₂²×C₁₃	1	2	yes	—
621	#496	C₂²×C₁₃	1	2	yes	—
622	#495	C₂²×C₁₃	1	2	yes	—
623	#495	C₂²×C₁₃	1	2	yes	—
624	#495	C₂²×C₁₃	1	2	yes	—
625	#495	C₂²×C₁₃	1	2	yes	complemented
626	#494	C₂²×C₁₃	1	2	yes	complemented
627	#492	C₂²×C₁₃	1	2	yes	—
628	#464	C₂²×C₁₃	1	2	yes	—
629	#464	C₂²×C₁₃	1	2	yes	—
630	#464	C₂²×C₁₃	1	2	yes	—
631	#464	C₂²×C₁₃	1	2	yes	—
632	#464	C₂²×C₁₃	1	2	yes	—
633	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#464	C₂²×C₁₃	1	2	yes	complemented
635	#464	C₂²×C₁₃	1	2	yes	complemented
636	#464	C₂²×C₁₃	1	2	yes	complemented
637	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#463	C₂²×C₁₃	1	2	yes	—
639	#463	C₂²×C₁₃	1	2	yes	—
640	#463	C₂²×C₁₃	1	2	yes	—
641	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#463	C₂²×C₁₃	1	2	yes	complemented
644	#462	C₂²×C₁₃	1	2	yes	complemented
645	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#462	C₂²×C₁₃	1	2	yes	complemented
647	#462	C₂²×C₁₃	1	2	yes	complemented
648	#461	C₂²×C₁₃	1	2	yes	—
649	#461	C₂²×C₁₃	1	2	yes	—
650	#461	C₂²×C₁₃	1	2	yes	complemented
651	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#460	C₂²×C₁₃	1	2	yes	—
653	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	#459	C₂²×C₁₃	1	2	yes	—
655	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#446	C₂²×C₁₃	1	2	yes	complemented
657	#446	C₂²×C₁₃	1	2	yes	complemented
658	#446	C₂²×C₁₃	1	2	yes	complemented
659	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
660	#442	C₂²×C₁₃	1	2	yes	—
661	#441	C₂²×C₁₃	1	2	yes	complemented
662	#441	C₂²×C₁₃	1	2	yes	complemented
663	#440	C₂²×C₁₃	1	2	yes	—
664	#440	C₂²×C₁₃	1	2	yes	complemented
665	#440	C₂²×C₁₃	1	2	yes	complemented
666	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
667	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
668	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
669	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
670	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
671	C₄×D₈	C₂²×C₁₃	1	2	yes	—
672	#428	C₂²×C₁₃	1	1	yes	characteristic
673	#424	C₂²×C₁₃	1	1	yes	characteristic
674	#424	C₂²×C₁₃	1	1	yes	characteristic
675	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
676	#419	C₂²×C₁₃	1	1	yes	characteristic
677	#417	C₂²×C₁₃	1	1	yes	characteristic
678	#416	C₂²×C₁₃	1	1	yes	characteristic
679	#416	C₂²×C₁₃	1	1	yes	characteristic
680	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
681	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
682	#405	C₂²×C₁₃	1	1	yes	characteristic
683	#405	C₂²×C₁₃	1	1	yes	characteristic
684	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
685	C₂²×C₁₃	—	2	1	no	—
686	C₂²×C₁₃	—	2	1	no	—
687	C₂²×C₁₃	—	4	1	no	—
688	C₂²×C₁₃	—	4	1	no	—
689	C₂²×C₁₃	—	4	1	no	—
690	C₂²×C₁₃	—	4	2	no	—
691	C₂²×C₁₃	—	4	1	no	—
692	C₂²×C₁₃	—	4	2	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	1	no	—
698	C₂²×C₁₃	—	4	2	no	—
699	C₂²×C₁₃	—	16	2	no	—
700	C₂²×C₁₃	#550	1	2	yes	—
701	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
702	C₄×C₁₃	—	2	1	no	—
703	C₄×C₁₃	—	2	1	no	—
704	C₄×C₁₃	—	2	2	no	—
705	C₄×C₁₃	—	2	2	no	—
706	C₄×C₁₃	—	2	1	no	—
707	C₄×C₁₃	—	2	1	no	—
708	C₄×C₁₃	—	2	2	no	—
709	C₄×C₁₃	—	2	2	no	—
710	C₄×C₁₃	—	4	1	no	—
711	C₄×C₁₃	—	4	2	no	—
712	C₄×C₁₃	—	4	1	no	—
713	C₄×C₁₃	—	4	1	no	—
714	C₄×C₁₃	—	4	1	no	—
715	C₄×C₁₃	—	4	1	no	—
716	C₄×C₁₃	—	4	2	no	—
717	C₄×C₁₃	—	4	2	no	—
718	C₄×C₁₃	#550	1	2	yes	—
719	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
720	C₄×C₁₃	C₂×H(5,𝔽₂)	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×Q₈	C₂³×C₁₃	1	1	yes	characteristic
725	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
726	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
727	#137	—	2	4	no	—
728	#137	—	2	4	no	—
729	#137	—	4	2	no	—
730	AGL(1,ℤ/8)	—	2	4	no	—
731	AGL(1,ℤ/8)	—	4	2	no	—
732	#135	—	4	2	no	—
733	#135	—	4	2	no	—
734	C₂×Q₁₆	—	4	2	no	—
735	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
736	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
737	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
738	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
739	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
740	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
741	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
742	C₂×SD₁₆	—	4	2	no	—
743	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
744	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
745	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
746	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
748	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
749	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
750	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
751	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
753	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
754	C₂×D₈	C₂³×C₁₃	1	2	yes	—
755	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
756	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
757	C₂×D₈	C₂³×C₁₃	1	2	yes	—
758	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
759	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
760	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
761	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
762	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
763	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
764	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
765	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
766	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
767	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
768	#127	C₂³×C₁₃	1	1	yes	characteristic
769	#127	C₂³×C₁₃	1	2	yes	—
770	#126	—	2	2	no	—
771	#126	—	2	2	no	—
772	#126	—	2	2	no	—
773	#126	—	2	2	no	—
774	#126	—	2	2	no	—
775	#126	—	2	2	no	—
776	#126	—	2	2	no	—
777	#126	—	2	2	no	—
778	#125	—	2	2	no	—
779	#125	—	2	2	no	—
780	#125	—	2	2	no	—
781	#125	D₄×C₁₃	1	1	yes	characteristic
782	#125	D₄×C₁₃	1	1	yes	characteristic
783	#124	—	2	2	no	—
784	#124	—	2	2	no	—
785	#124	—	2	2	no	—
786	#124	—	2	1	no	—
787	#124	—	2	1	no	—
788	#124	C₂³×C₁₃	1	2	yes	—
789	#124	C₂³×C₁₃	1	2	yes	—
790	#124	C₂³×C₁₃	1	1	yes	characteristic
791	#124	C₂³×C₁₃	1	1	yes	characteristic
792	#124	C₂³×C₁₃	1	2	yes	—
793	#124	C₂³×C₁₃	1	2	yes	—
794	#124	C₂³×C₁₃	1	2	yes	—
795	#124	C₂³×C₁₃	1	2	yes	—
796	#123	—	2	2	no	—
797	#123	—	2	2	no	—
798	#123	—	2	2	no	—
799	#123	—	2	2	no	—
800	#123	—	2	2	no	—
801	#123	—	2	2	no	—
802	#123	—	2	2	no	—
803	#123	—	2	2	no	—
804	#123	—	2	2	no	—
805	C₂²⋊Q₈	—	2	2	no	—
806	C₂²⋊Q₈	—	2	2	no	—
807	C₂²⋊Q₈	—	2	2	no	—
808	C₂²⋊Q₈	—	2	2	no	—
809	C₂²⋊Q₈	—	2	1	no	—
810	C₂²⋊Q₈	—	2	1	no	—
811	C₂²⋊Q₈	—	2	1	no	—
812	C₂²⋊Q₈	—	2	1	no	—
813	C₂²⋊Q₈	—	2	1	no	—
814	C₂²⋊Q₈	—	2	1	no	—
815	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
816	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
817	#121	—	2	1	no	—
818	#121	—	2	1	no	—
819	#121	—	2	1	no	—
820	#121	—	2	1	no	—
821	#120	—	2	2	no	—
822	C₄×Q₈	—	2	2	no	—
823	C₄×Q₈	—	2	1	no	—
824	C₄×Q₈	—	2	1	no	—
825	C₄×Q₈	—	2	1	no	—
826	C₄×Q₈	—	2	1	no	—
827	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
828	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
829	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
832	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
833	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
834	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
835	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
836	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
837	C₄×D₄	—	2	1	no	—
838	C₄×D₄	—	2	1	no	—
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	—	2	2	no	—
842	C₄×D₄	—	2	2	no	—
843	C₄×D₄	—	2	2	no	—
844	C₄×D₄	—	2	2	no	—
845	C₄×D₄	—	2	2	no	—
846	C₄×D₄	—	2	1	no	—
847	C₄×D₄	—	2	1	no	—
848	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
849	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
850	C₄×D₄	C₂³×C₁₃	1	2	yes	—
851	C₄×D₄	C₂³×C₁₃	1	2	yes	—
852	C₄×D₄	C₂³×C₁₃	1	2	yes	—
853	C₄×D₄	C₂³×C₁₃	1	2	yes	—
854	#117	—	2	1	no	—
855	#117	—	2	1	no	—
856	#117	—	2	2	no	—
857	#117	—	2	2	no	—
858	#117	—	2	2	no	—
859	#117	—	2	2	no	—
860	#117	—	2	2	no	—
861	#117	—	2	1	no	—
862	#117	C₂³×C₁₃	1	1	yes	characteristic
863	#117	C₂³×C₁₃	1	1	yes	characteristic
864	#117	C₂³×C₁₃	1	1	yes	characteristic
865	C₂×C₄⋊C₄	—	2	1	no	—
866	C₂×C₄⋊C₄	—	2	1	no	—
867	C₂×C₄⋊C₄	—	2	1	no	—
868	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	—	2	1	no	—
870	C₂×C₂²⋊C₄	—	2	1	no	—
871	C₂×C₂²⋊C₄	—	2	2	no	—
872	C₂×C₄²	—	2	1	no	—
873	C₂×C₄²	—	2	1	no	—
874	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
875	#107	C₂³×C₁₃	1	2	yes	—
876	#106	C₂³×C₁₃	1	2	yes	—
877	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
879	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
880	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
882	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
883	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
884	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
885	#103	C₂³×C₁₃	1	2	yes	—
886	#103	C₂³×C₁₃	1	2	yes	—
887	#103	C₂³×C₁₃	1	1	yes	characteristic
888	#103	C₂³×C₁₃	1	1	yes	characteristic
889	#103	C₂³×C₁₃	1	1	yes	characteristic
890	#103	C₂³×C₁₃	1	1	yes	characteristic
891	#103	C₂³×C₁₃	1	2	yes	—
892	#103	C₂³×C₁₃	1	2	yes	—
893	#103	C₂³×C₁₃	1	2	yes	—
894	#102	C₂³×C₁₃	1	2	yes	—
895	#102	C₂³×C₁₃	1	2	yes	—
896	#102	C₂³×C₁₃	1	1	yes	characteristic
897	#102	C₂³×C₁₃	1	1	yes	characteristic
898	#102	C₂³×C₁₃	1	1	yes	characteristic
899	#102	C₂³×C₁₃	1	1	yes	characteristic
900	#102	C₂³×C₁₃	1	2	yes	—
901	#97	C₂³×C₁₃	1	2	yes	—
902	#97	C₂³×C₁₃	1	2	yes	—
903	#97	C₂³×C₁₃	1	2	yes	—
904	C₄×C₈	C₂³×C₁₃	1	2	yes	—
905	C₄×C₈	C₂³×C₁₃	1	2	yes	—
906	C₄×C₈	C₂³×C₁₃	1	2	yes	—
907	C₂×C₁₃	—	2	2	no	—
908	C₂×C₁₃	—	8	1	no	—
909	C₂×C₁₃	—	8	1	no	—
910	C₂×C₁₃	—	8	1	no	—
911	C₂×C₁₃	—	8	2	no	—
912	C₂×C₁₃	C₂×#550	1	1	yes	characteristic
913	C₂×C₁₃	#3584	1	1	yes	characteristic
914	C₂×C₁₃	#3586	1	1	yes	characteristic
915	C₂⁴	—	2	1	no	—
916	#41	—	2	2	no	—
917	#41	—	2	2	no	—
918	#41	—	2	2	no	—
919	#41	—	2	2	no	—
920	#41	—	2	2	no	—
921	#41	—	2	2	no	—
922	C₂×Q₈	—	2	1	no	—
923	C₂×Q₈	—	2	1	no	—
924	C₂×Q₈	—	2	2	no	—
925	C₂×Q₈	—	2	2	no	—
926	C₂×Q₈	—	2	2	no	—
927	C₂×Q₈	—	2	2	no	—
928	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
929	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
930	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
931	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
932	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
933	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
934	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₂×D₄	—	2	1	no	—
936	C₂×D₄	—	2	1	no	—
937	C₂×D₄	—	2	1	no	—
938	C₂×D₄	—	2	1	no	—
939	C₂×D₄	—	2	1	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	2	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	2	2	no	—
944	C₂×D₄	—	2	2	no	—
945	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
948	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	1	no	—
955	C₂²×C₄	—	2	1	no	—
956	C₂²×C₄	—	2	1	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	Q₁₆	—	2	4	no	—
965	Q₁₆	—	2	4	no	—
966	Q₁₆	—	4	2	no	—
967	Q₁₆	—	4	2	no	—
968	Q₁₆	—	4	1	no	—
969	Q₁₆	—	4	1	no	—
970	Q₁₆	—	4	2	no	—
971	SD₁₆	—	2	4	no	—
972	SD₁₆	—	2	4	no	—
973	SD₁₆	—	2	4	no	—
974	SD₁₆	—	4	2	no	—
975	SD₁₆	—	4	2	no	—
976	SD₁₆	—	4	1	no	—
977	SD₁₆	—	4	1	no	—
978	SD₁₆	—	4	1	no	—
979	SD₁₆	—	4	1	no	—
980	SD₁₆	—	4	2	no	—
981	SD₁₆	—	4	2	no	—
982	D₈	—	2	4	no	—
983	D₈	—	4	1	no	—
984	D₈	—	4	1	no	—
985	D₈	—	4	2	no	—
986	M₁₆	—	2	2	no	—
987	M₁₆	C₁₃×#41	1	4	yes	—
988	C₂×C₈	—	2	2	no	—
989	C₂×C₈	—	2	2	no	—
990	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
992	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
993	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
994	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
995	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	2	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	—	2	2	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1014	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1015	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1016	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1017	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1018	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1019	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1020	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1021	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1022	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1023	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1024	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1025	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1026	C₂²⋊C₄	—	2	1	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	1	no	—
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	1	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	2	no	—
1043	C₂²⋊C₄	—	2	1	no	—
1044	C₂²⋊C₄	—	2	1	no	—
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	2	no	—
1048	C₂²⋊C₄	—	2	2	no	—
1049	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1050	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1051	C₄²	—	2	1	no	—
1052	C₄²	—	2	1	no	—
1053	C₄²	—	2	2	no	—
1054	C₄²	—	2	1	no	—
1055	C₄²	—	2	2	no	—
1056	C₄²	—	2	2	no	—
1057	C₄²	—	2	2	no	—
1058	C₄²	—	2	2	no	—
1059	C₄²	—	2	2	no	—
1060	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1061	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1062	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1063	C₄²	C₂⁴×C₁₃	1	2	yes	—
1064	C₄²	C₂⁴×C₁₃	1	2	yes	—
1065	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1066	C₁₃	#61423	1	1	yes	characteristic, direct product factor, Sylow
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	2	2	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	4	2	no	—
1072	C₂³	—	8	1	no	—
1073	C₂³	—	8	1	no	—
1074	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1075	Q₈	—	2	1	no	—
1076	Q₈	—	2	2	no	—
1077	Q₈	—	2	2	no	—
1078	Q₈	—	2	1	no	—
1079	Q₈	—	2	1	no	—
1080	Q₈	—	2	1	no	—
1081	Q₈	—	2	2	no	—
1082	Q₈	—	2	1	no	—
1083	Q₈	—	2	2	no	—
1084	Q₈	—	2	1	no	—
1085	Q₈	—	4	2	no	—
1086	Q₈	—	4	2	no	—
1087	Q₈	—	4	2	no	—
1088	Q₈	—	4	2	no	—
1089	D₄	—	2	1	no	—
1090	D₄	—	2	2	no	—
1091	D₄	—	2	1	no	—
1092	D₄	—	2	1	no	—
1093	D₄	—	2	1	no	—
1094	D₄	—	2	1	no	—
1095	D₄	—	2	2	no	—
1096	D₄	—	2	1	no	—
1097	D₄	—	4	2	no	—
1098	D₄	—	4	2	no	—
1099	D₄	—	4	2	no	—
1100	D₄	—	4	2	no	—
1101	D₄	—	4	2	no	—
1102	D₄	—	8	1	no	—
1103	D₄	—	8	2	no	—
1104	D₄	—	8	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	4	1	no	—
1114	C₂×C₄	—	4	1	no	—
1115	C₂×C₄	—	4	2	no	—
1116	C₂×C₄	—	4	2	no	—
1117	C₂×C₄	—	4	2	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	2	no	—
1120	C₂×C₄	—	8	1	no	—
1121	C₂×C₄	—	8	2	no	—
1122	C₂×C₄	—	8	2	no	—
1123	C₂×C₄	—	8	2	no	—
1124	C₂×C₄	—	8	1	no	—
1125	C₂×C₄	—	8	2	no	—
1126	C₂×C₄	—	8	1	no	—
1127	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1128	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1129	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1130	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1131	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1132	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1133	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1134	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1135	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1136	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1137	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1138	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1139	C₈	—	2	1	no	—
1140	C₈	—	2	1	no	—
1141	C₈	—	2	1	no	—
1142	C₈	—	2	1	no	—
1143	C₈	—	2	2	no	—
1144	C₈	C₂×C₁₃×#41	1	4	yes	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	2	1	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	1	no	—
1155	C₂²	—	4	1	no	—
1156	C₂²	—	4	1	no	—
1157	C₂²	—	4	1	no	—
1158	C₂²	—	4	2	no	—
1159	C₂²	—	16	2	no	—
1160	C₂²	C₁₃×#550	1	2	yes	—
1161	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1162	C₄	—	2	1	no	—
1163	C₄	—	2	1	no	—
1164	C₄	—	2	2	no	—
1165	C₄	—	2	2	no	—
1166	C₄	—	2	1	no	—
1167	C₄	—	2	1	no	—
1168	C₄	—	2	2	no	—
1169	C₄	—	2	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	—	4	1	no	—
1176	C₄	—	4	2	no	—
1177	C₄	—	4	2	no	—
1178	C₄	C₁₃×#550	1	2	yes	—
1179	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1180	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1181	C₂	—	2	2	no	—
1182	C₂	—	8	2	no	—
1183	C₂	—	8	1	no	—
1184	C₂	—	8	1	no	—
1185	C₂	—	8	1	no	—
1186	C₂	C₂×C₁₃×#550	1	1	yes	characteristic
1187	C₂	C₁₃×#3584	1	1	yes	characteristic
1188	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3510	C₂	semidirect
2. C₁₃×#3507	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3402	C₂	semidirect
5. C₁₃×#3401	C₂	semidirect
6. C₁₃×#3401	C₂	semidirect
7. C₁₃×#3400	C₂	semidirect
8. C₁₃×#3398	C₂	semidirect
9. C₁₃×#3394	C₂	semidirect
10. C₁₃×#3393	C₂	semidirect
11. C₁₃×#3156	C₂	semidirect
12. C₁₃×#3154	C₂	semidirect
13. C₁₃×#3153	C₂	semidirect
14. C₁₃×#3046	C₂	semidirect
15. C₁₃×#3045	C₂	semidirect
16. C₁₃×#3044	C₂	semidirect
17. C₁₃×#3042	C₂	semidirect
18. C₁₃×#3035	C₂	semidirect
19. C₂×C₁₃×#464	C₂	semidirect
20. C₁₃×#2962	C₂	semidirect
21. C₁₃×#2947	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₄×C₁₃×#137	C₂	semidirect
35. C₁₃×#559	C₂²	semidirect
36. C₁₃×#557	C₂²	semidirect
40. C₁₃×#556	C₂²	semidirect
41. C₁₃×#556	C₂²	semidirect
68. C₁₃×#497	C₂²	semidirect
69. C₁₃×#497	C₂²	semidirect
75. C₁₃×#495	C₂²	semidirect
76. C₁₃×#494	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
84. C₁₃×#464	C₂²	semidirect
85. C₁₃×#464	C₂²	semidirect
86. C₁₃×#464	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#462	C₂²	semidirect
95. C₁₃×#462	C₂²	semidirect
96. C₁₃×#462	C₂²	semidirect
97. C₁₃×#462	C₂²	semidirect
100. C₁₃×#461	C₂²	semidirect
101. C₁₃×#461	C₂²	semidirect
103. C₁₃×#460	C₂²	semidirect
105. C₁₃×#459	C₂²	semidirect
106. C₁₃×#446	C₂²	semidirect
107. C₁₃×#446	C₂²	semidirect
108. C₁₃×#446	C₂²	semidirect
109. C₈×Q₈×C₁₃	C₂²	semidirect
111. C₁₃×#441	C₂²	semidirect
112. C₁₃×#441	C₂²	semidirect
114. C₁₃×#440	C₂²	semidirect
115. C₁₃×#440	C₂²	semidirect
116. C₄×C₁₃×Q₁₆	C₂²	semidirect
117. C₄×C₁₃×Q₁₆	C₂²	semidirect
119. C₄×C₁₃×SD₁₆	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
321. #61423	C₁₃	direct (N × H)
473. #3510	C₂×C₁₃	semidirect
474. #3507	C₂×C₁₃	semidirect
475. #3403	C₂×C₁₃	semidirect
476. #3402	C₂×C₁₃	semidirect
477. #3401	C₂×C₁₃	semidirect
478. #3401	C₂×C₁₃	semidirect
479. #3400	C₂×C₁₃	semidirect
480. #3398	C₂×C₁₃	semidirect
481. #3394	C₂×C₁₃	semidirect
482. #3393	C₂×C₁₃	semidirect
483. #3156	C₂×C₁₃	semidirect
484. #3154	C₂×C₁₃	semidirect
485. #3153	C₂×C₁₃	semidirect
486. #3046	C₂×C₁₃	semidirect
487. #3045	C₂×C₁₃	semidirect
488. #3044	C₂×C₁₃	semidirect
489. #3042	C₂×C₁₃	semidirect
490. #3035	C₂×C₁₃	semidirect
491. C₂×#464	C₂×C₁₃	semidirect
492. #2962	C₂×C₁₃	semidirect
493. #2947	C₂×C₁₃	semidirect
494. #2946	C₂×C₁₃	semidirect
495. C₄×#137	C₂×C₁₃	semidirect
585. #559	C₂²×C₁₃	semidirect
586. #557	C₂²×C₁₃	semidirect
590. #556	C₂²×C₁₃	semidirect
591. #556	C₂²×C₁₃	semidirect
618. #497	C₂²×C₁₃	semidirect
619. #497	C₂²×C₁₃	semidirect
625. #495	C₂²×C₁₃	semidirect
626. #494	C₂²×C₁₃	semidirect
633. #464	C₂²×C₁₃	semidirect
634. #464	C₂²×C₁₃	semidirect
635. #464	C₂²×C₁₃	semidirect
636. #464	C₂²×C₁₃	semidirect
637. #464	C₂²×C₁₃	semidirect
641. #463	C₂²×C₁₃	semidirect
642. #463	C₂²×C₁₃	semidirect
643. #463	C₂²×C₁₃	semidirect
644. #462	C₂²×C₁₃	semidirect
645. #462	C₂²×C₁₃	semidirect
646. #462	C₂²×C₁₃	semidirect
647. #462	C₂²×C₁₃	semidirect
650. #461	C₂²×C₁₃	semidirect
651. #461	C₂²×C₁₃	semidirect
653. #460	C₂²×C₁₃	semidirect
655. #459	C₂²×C₁₃	semidirect
656. #446	C₂²×C₁₃	semidirect
657. #446	C₂²×C₁₃	semidirect
658. #446	C₂²×C₁₃	semidirect
659. C₈×Q₈	C₂²×C₁₃	semidirect
661. #441	C₂²×C₁₃	semidirect
662. #441	C₂²×C₁₃	semidirect
664. #440	C₂²×C₁₃	semidirect
665. #440	C₂²×C₁₃	semidirect
666. C₄×Q₁₆	C₂²×C₁₃	semidirect
667. C₄×Q₁₆	C₂²×C₁₃	semidirect
669. C₄×SD₁₆	C₂²×C₁₃	semidirect
670. C₄×SD₁₆	C₂²×C₁₃	semidirect
1066. C₁₃	#61423	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×#3510	2
C₁₃×#3507	2
C₁₃×#3403	2
C₁₃×#3402	2
C₁₃×#3401	2
C₁₃×#3400	2
C₁₃×#3398	2
C₁₃×#3394	2
C₁₃×#3393	2
C₁₃×#3156	2
C₁₃×#3154	2
C₁₃×#3153	2
C₁₃×#3046	2
C₁₃×#3045	2
C₁₃×#3044	2
C₁₃×#3042	2
C₁₃×#3035	2
C₂×C₁₃×#464	2
C₁₃×#2962	2
C₁₃×#2947	2
C₁₃×#2946	2
C₄×C₁₃×#137	2
#61423	13

Subgroups — C13×#61423 #15747762

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61423 #15747762