Subgroups — C₁₃×#61424 #15747763

Order 3328.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1218 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×#3506	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×#3399	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3397	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3396	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3394	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3155	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×#3043	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3041	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#463	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×AGL(1,ℤ/8)	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×AGL(1,ℤ/8)	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×SD₁₆	C₂²	1	1	yes	characteristic
32	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
33	C₁₃×#559	C₂²	1	2	yes	complemented
34	C₁₃×#559	C₂²	1	2	yes	complemented
35	C₁₃×#559	C₂²	1	2	yes	complemented
36	C₁₃×#559	C₂²	1	2	yes	complemented
37	C₁₃×#556	C₂²	1	2	yes	complemented
38	C₁₃×#556	C₂²	1	2	yes	complemented
39	C₁₃×#556	C₂²	1	2	yes	complemented
40	C₁₃×#555	—	2	1	no	—
41	C₁₃×#553	—	2	1	no	—
42	C₁₃×#553	—	2	1	no	—
43	C₁₃×#551	—	2	2	no	—
44	C₁₃×#551	—	2	2	no	—
45	C₁₃×#550	C₂²	1	2	yes	complemented
46	C₁₃×#547	—	2	1	no	—
47	C₁₃×#542	—	2	1	no	—
48	C₁₃×#542	—	2	1	no	—
49	C₁₃×#538	—	2	2	no	—
50	C₁₃×#536	C₂²	1	1	yes	characteristic
51	C₁₃×#535	C₂²	1	1	yes	characteristic
52	C₁₃×#535	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	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
59	C₁₃×#525	—	2	2	no	—
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×D₄×C₁₃	C₂²	1	1	yes	characteristic
66	C₁₃×#497	C₂²	1	2	yes	complemented
67	C₁₃×#497	C₂²	1	2	yes	complemented
68	C₁₃×#496	C₂²	1	2	yes	—
69	C₁₃×#496	C₂²	1	2	yes	—
70	C₁₃×#496	C₂²	1	2	yes	complemented
71	C₁₃×#496	C₂²	1	2	yes	complemented
72	C₁₃×#495	C₂²	1	2	yes	—
73	C₁₃×#495	C₂²	1	2	yes	complemented
74	C₁₃×#495	C₂²	1	2	yes	complemented
75	C₁₃×#495	C₂²	1	2	yes	complemented
76	C₁₃×#493	C₂²	1	2	yes	—
77	C₁₃×#492	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#464	C₂²	1	2	yes	complemented
81	C₁₃×#464	C₂²	1	2	yes	complemented
82	C₁₃×#464	C₂²	1	2	yes	complemented
83	C₁₃×#464	C₂²	1	2	yes	complemented
84	C₁₃×#463	C₂²	1	2	yes	—
85	C₁₃×#463	C₂²	1	2	yes	—
86	C₁₃×#463	C₂²	1	2	yes	—
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#463	C₂²	1	2	yes	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×#461	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#461	C₂²	1	2	yes	complemented
98	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#460	C₂²	1	2	yes	complemented
100	C₁₃×#460	C₂²	1	2	yes	complemented
101	C₁₃×#460	C₂²	1	2	yes	complemented
102	C₁₃×#459	C₂²	1	2	yes	—
103	C₁₃×#459	C₂²	1	2	yes	—
104	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#459	C₂²	1	2	yes	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	complemented
111	C₁₃×#442	C₂²	1	2	yes	complemented
112	C₁₃×#441	C₂²	1	2	yes	complemented
113	C₁₃×#440	C₂²	1	2	yes	complemented
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×SD₁₆	C₂²	1	2	yes	complemented
118	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
119	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
120	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
121	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
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×#418	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	—	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃	—	2	1	no	—
143	C₁₃×#137	—	2	4	no	—
144	C₁₃×#137	—	4	2	no	—
145	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
146	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
147	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
148	C₁₃×#135	—	4	2	no	—
149	C₁₃×#135	—	4	2	no	—
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×SD₁₆	—	4	2	no	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
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	2	yes	—
163	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
164	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×D₈	—	4	2	no	—
167	C₂×C₁₃×D₈	C₂³	1	2	yes	—
168	C₂×C₁₃×D₈	C₂³	1	2	yes	—
169	C₂×C₁₃×D₈	C₂³	1	2	yes	—
170	C₂×C₁₃×D₈	C₂³	1	2	yes	—
171	C₂×C₁₃×D₈	C₂³	1	2	yes	—
172	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
173	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
174	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
175	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
176	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
177	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
178	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
179	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
180	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
181	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
182	C₁₃×#127	C₂³	1	2	yes	—
183	C₁₃×#127	C₂³	1	2	yes	—
184	C₁₃×#127	C₂³	1	1	yes	characteristic
185	C₁₃×#127	C₂³	1	2	yes	—
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	D₄	1	1	yes	characteristic
193	C₁₃×#125	D₄	1	1	yes	characteristic
194	C₁₃×#124	—	2	2	no	—
195	C₁₃×#124	—	2	2	no	—
196	C₁₃×#124	—	2	2	no	—
197	C₁₃×#124	—	2	2	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	—	2	1	no	—
200	C₁₃×#124	C₂³	1	2	yes	—
201	C₁₃×#124	C₂³	1	2	yes	—
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×#123	—	2	2	no	—
209	C₁₃×#123	—	2	2	no	—
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×C₂²⋊Q₈	—	2	2	no	—
218	C₁₃×C₂²⋊Q₈	—	2	2	no	—
219	C₁₃×C₂²⋊Q₈	—	2	2	no	—
220	C₁₃×C₂²⋊Q₈	—	2	1	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
223	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	2	no	—
235	C₁₃×#120	—	2	2	no	—
236	C₁₃×#120	—	2	2	no	—
237	C₁₃×#120	—	2	2	no	—
238	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	no	—
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
245	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	2	no	—
253	C₄×D₄×C₁₃	—	2	2	no	—
254	C₄×D₄×C₁₃	—	2	2	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	1	no	—
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	2	yes	—
264	C₄×D₄×C₁₃	C₂³	1	2	yes	—
265	C₄×D₄×C₁₃	C₂³	1	2	yes	—
266	C₄×D₄×C₁₃	C₂³	1	2	yes	—
267	C₄×D₄×C₁₃	C₂³	1	2	yes	—
268	C₄×D₄×C₁₃	C₂³	1	2	yes	—
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#117	—	2	1	no	—
271	C₁₃×#117	—	2	1	no	—
272	C₁₃×#117	—	2	2	no	—
273	C₁₃×#117	—	2	2	no	—
274	C₁₃×#117	—	2	2	no	—
275	C₁₃×#117	—	2	2	no	—
276	C₁₃×#117	—	2	1	no	—
277	C₁₃×#117	C₂³	1	1	yes	characteristic
278	C₁₃×#117	C₂³	1	1	yes	characteristic
279	C₁₃×#117	C₂³	1	1	yes	characteristic
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	1	no	—
286	C₂×C₁₃×C₂²⋊C₄	—	2	2	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×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	1	yes	characteristic
309	C₁₃×#102	C₂³	1	1	yes	characteristic
310	C₁₃×#102	C₂³	1	1	yes	characteristic
311	C₁₃×#102	C₂³	1	1	yes	characteristic
312	C₁₃×#102	C₂³	1	2	yes	—
313	C₁₃×#102	C₂³	1	2	yes	—
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	#61424	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
322	C₂⁴×C₁₃	—	2	1	no	—
323	C₂⁴×C₁₃	—	2	1	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	C₁₃×#41	—	2	2	no	—
330	C₁₃×#41	—	8	4	no	—
331	C₂×Q₈×C₁₃	—	2	1	no	—
332	C₂×Q₈×C₁₃	—	2	2	no	—
333	C₂×Q₈×C₁₃	—	2	2	no	—
334	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
335	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
336	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
337	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
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	2	no	—
347	C₂×D₄×C₁₃	—	2	2	no	—
348	C₂×D₄×C₁₃	—	2	2	no	—
349	C₂×D₄×C₁₃	—	2	2	no	—
350	C₂×D₄×C₁₃	—	2	1	no	—
351	C₂×D₄×C₁₃	—	2	2	no	—
352	C₂×D₄×C₁₃	—	2	2	no	—
353	C₂×D₄×C₁₃	—	2	2	no	—
354	C₂×D₄×C₁₃	—	2	2	no	—
355	C₂×D₄×C₁₃	—	2	2	no	—
356	C₂×D₄×C₁₃	—	2	2	no	—
357	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
358	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
360	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	—	2	1	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	1	no	—
365	C₂²×C₄×C₁₃	—	2	1	no	—
366	C₂²×C₄×C₁₃	—	2	1	no	—
367	C₂²×C₄×C₁₃	—	2	2	no	—
368	C₂²×C₄×C₁₃	—	2	1	no	—
369	C₂²×C₄×C₁₃	—	2	1	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	2	no	—
372	C₂²×C₄×C₁₃	—	2	2	no	—
373	C₂²×C₄×C₁₃	—	2	2	no	—
374	C₂²×C₄×C₁₃	—	2	2	no	—
375	C₂²×C₄×C₁₃	—	8	2	no	—
376	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₁₃×Q₁₆	—	2	4	no	—
380	C₁₃×Q₁₆	—	4	1	no	—
381	C₁₃×Q₁₆	—	4	1	no	—
382	C₁₃×Q₁₆	—	4	2	no	—
383	C₁₃×SD₁₆	—	2	4	no	—
384	C₁₃×SD₁₆	—	2	4	no	—
385	C₁₃×SD₁₆	—	2	4	no	—
386	C₁₃×SD₁₆	—	4	2	no	—
387	C₁₃×SD₁₆	—	4	2	no	—
388	C₁₃×SD₁₆	—	4	1	no	—
389	C₁₃×SD₁₆	—	4	1	no	—
390	C₁₃×SD₁₆	—	4	1	no	—
391	C₁₃×SD₁₆	—	4	1	no	—
392	C₁₃×SD₁₆	—	4	2	no	—
393	C₁₃×SD₁₆	—	4	2	no	—
394	C₁₃×D₈	—	2	4	no	—
395	C₁₃×D₈	—	2	4	no	—
396	C₁₃×D₈	—	4	2	no	—
397	C₁₃×D₈	—	4	2	no	—
398	C₁₃×D₈	—	4	1	no	—
399	C₁₃×D₈	—	4	1	no	—
400	C₁₃×D₈	—	4	2	no	—
401	C₁₃×M₁₆	—	2	2	no	—
402	C₁₃×M₁₆	#41	1	4	yes	complemented
403	C₂×C₈×C₁₃	—	2	2	no	—
404	C₂×C₈×C₁₃	—	2	2	no	—
405	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
408	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₁₃×C₄⋊C₄	—	2	2	no	—
418	C₁₃×C₄⋊C₄	—	2	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	2	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	1	yes	characteristic
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	C₂×D₄	1	2	yes	—
431	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
432	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
433	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
434	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
435	C₁₃×C₂²⋊C₄	—	2	1	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	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	2	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	2	1	no	—
447	C₁₃×C₂²⋊C₄	—	2	1	no	—
448	C₁₃×C₂²⋊C₄	—	2	2	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	2	no	—
451	C₁₃×C₂²⋊C₄	—	2	2	no	—
452	C₁₃×C₂²⋊C₄	—	2	1	no	—
453	C₁₃×C₂²⋊C₄	—	2	1	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	no	—
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
461	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
462	C₄²×C₁₃	—	2	1	no	—
463	C₄²×C₁₃	—	2	1	no	—
464	C₄²×C₁₃	—	2	1	no	—
465	C₄²×C₁₃	—	2	2	no	—
466	C₄²×C₁₃	—	2	2	no	—
467	C₄²×C₁₃	—	2	2	no	—
468	C₄²×C₁₃	—	2	2	no	—
469	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
470	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
471	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
472	C₄²×C₁₃	C₂⁴	1	2	yes	—
473	C₄²×C₁₃	C₂⁴	1	2	yes	—
474	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
475	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3403	C₂×C₁₃	1	2	yes	complemented
478	#3402	C₂×C₁₃	1	2	yes	complemented
479	#3401	C₂×C₁₃	1	2	yes	complemented
480	#3401	C₂×C₁₃	1	2	yes	complemented
481	#3399	C₂×C₁₃	1	2	yes	complemented
482	#3397	C₂×C₁₃	1	2	yes	complemented
483	#3396	C₂×C₁₃	1	2	yes	complemented
484	#3394	C₂×C₁₃	1	2	yes	complemented
485	#3155	C₂×C₁₃	1	1	yes	characteristic, complemented
486	#3154	C₂×C₁₃	1	1	yes	characteristic, complemented
487	#3153	C₂×C₁₃	1	1	yes	characteristic, complemented
488	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
489	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
490	#3043	C₂×C₁₃	1	1	yes	characteristic, complemented
491	#3041	C₂×C₁₃	1	1	yes	characteristic, complemented
492	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
493	C₂×#463	C₂×C₁₃	1	1	yes	characteristic, complemented
494	#2962	C₂×C₁₃	1	1	yes	characteristic, complemented
495	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
496	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
497	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
498	C₂³×C₁₃	—	2	2	no	—
499	C₂³×C₁₃	—	2	1	no	—
500	C₂³×C₁₃	—	2	2	no	—
501	C₂³×C₁₃	—	2	1	no	—
502	C₂³×C₁₃	—	2	1	no	—
503	C₂³×C₁₃	—	4	2	no	—
504	C₂³×C₁₃	—	4	2	no	—
505	C₂³×C₁₃	—	8	1	no	—
506	C₂³×C₁₃	—	8	1	no	—
507	C₂³×C₁₃	—	8	1	no	—
508	C₂³×C₁₃	—	8	1	no	—
509	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
510	Q₈×C₁₃	—	2	1	no	—
511	Q₈×C₁₃	—	2	1	no	—
512	Q₈×C₁₃	—	2	2	no	—
513	Q₈×C₁₃	—	2	1	no	—
514	Q₈×C₁₃	—	2	2	no	—
515	Q₈×C₁₃	—	2	1	no	—
516	Q₈×C₁₃	—	2	1	no	—
517	Q₈×C₁₃	—	2	1	no	—
518	Q₈×C₁₃	—	4	2	no	—
519	Q₈×C₁₃	—	4	2	no	—
520	Q₈×C₁₃	—	4	2	no	—
521	D₄×C₁₃	—	2	1	no	—
522	D₄×C₁₃	—	2	1	no	—
523	D₄×C₁₃	—	2	2	no	—
524	D₄×C₁₃	—	2	2	no	—
525	D₄×C₁₃	—	2	1	no	—
526	D₄×C₁₃	—	2	2	no	—
527	D₄×C₁₃	—	2	1	no	—
528	D₄×C₁₃	—	2	2	no	—
529	D₄×C₁₃	—	2	1	no	—
530	D₄×C₁₃	—	2	1	no	—
531	D₄×C₁₃	—	4	2	no	—
532	D₄×C₁₃	—	4	2	no	—
533	D₄×C₁₃	—	4	2	no	—
534	D₄×C₁₃	—	4	2	no	—
535	D₄×C₁₃	—	4	2	no	—
536	D₄×C₁₃	—	4	2	no	—
537	D₄×C₁₃	—	8	1	no	—
538	D₄×C₁₃	—	8	2	no	—
539	D₄×C₁₃	—	8	2	no	—
540	D₄×C₁₃	—	8	2	no	—
541	D₄×C₁₃	—	8	2	no	—
542	D₄×C₁₃	—	8	2	no	—
543	D₄×C₁₃	—	8	2	no	—
544	C₂×C₄×C₁₃	—	2	1	no	—
545	C₂×C₄×C₁₃	—	2	1	no	—
546	C₂×C₄×C₁₃	—	2	1	no	—
547	C₂×C₄×C₁₃	—	2	1	no	—
548	C₂×C₄×C₁₃	—	2	2	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	2	no	—
551	C₂×C₄×C₁₃	—	4	1	no	—
552	C₂×C₄×C₁₃	—	4	1	no	—
553	C₂×C₄×C₁₃	—	4	4	no	—
554	C₂×C₄×C₁₃	—	4	2	no	—
555	C₂×C₄×C₁₃	—	4	2	no	—
556	C₂×C₄×C₁₃	—	4	2	no	—
557	C₂×C₄×C₁₃	—	4	2	no	—
558	C₂×C₄×C₁₃	—	8	1	no	—
559	C₂×C₄×C₁₃	—	8	2	no	—
560	C₂×C₄×C₁₃	—	8	1	no	—
561	C₂×C₄×C₁₃	—	8	2	no	—
562	C₂×C₄×C₁₃	—	8	2	no	—
563	C₂×C₄×C₁₃	—	8	2	no	—
564	C₂×C₄×C₁₃	—	8	2	no	—
565	C₂×C₄×C₁₃	—	8	1	no	—
566	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
567	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
568	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
569	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
570	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
571	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
572	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
573	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
574	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
575	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
576	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
577	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
578	C₈×C₁₃	—	2	1	no	—
579	C₈×C₁₃	—	2	1	no	—
580	C₈×C₁₃	—	2	1	no	—
581	C₈×C₁₃	—	2	1	no	—
582	C₈×C₁₃	—	2	2	no	—
583	C₈×C₁₃	C₂×#41	1	4	yes	—
584	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
585	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
586	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
587	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
588	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
589	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
590	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
591	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
592	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
593	#559	C₂²×C₁₃	1	2	yes	complemented
594	#559	C₂²×C₁₃	1	2	yes	complemented
595	#559	C₂²×C₁₃	1	2	yes	complemented
596	#559	C₂²×C₁₃	1	2	yes	complemented
597	#556	C₂²×C₁₃	1	2	yes	complemented
598	#556	C₂²×C₁₃	1	2	yes	complemented
599	#556	C₂²×C₁₃	1	2	yes	complemented
600	#555	—	2	1	no	—
601	#553	—	2	1	no	—
602	#553	—	2	1	no	—
603	#551	—	2	2	no	—
604	#551	—	2	2	no	—
605	#550	C₂²×C₁₃	1	2	yes	complemented
606	#547	—	2	1	no	—
607	#542	—	2	1	no	—
608	#542	—	2	1	no	—
609	#538	—	2	2	no	—
610	#536	C₂²×C₁₃	1	1	yes	characteristic
611	#535	C₂²×C₁₃	1	1	yes	characteristic
612	#535	C₂²×C₁₃	1	1	yes	characteristic
613	#535	C₂²×C₁₃	1	1	yes	characteristic
614	#533	C₂²×C₁₃	1	1	yes	characteristic
615	#532	C₂²×C₁₃	1	1	yes	characteristic
616	#529	—	2	1	no	—
617	#529	—	2	1	no	—
618	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
619	#525	—	2	2	no	—
620	#520	C₂²×C₁₃	1	1	yes	characteristic
621	#520	C₂²×C₁₃	1	1	yes	characteristic
622	#519	C₂²×C₁₃	1	1	yes	characteristic
623	#518	C₂²×C₁₃	1	1	yes	characteristic
624	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
625	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
626	#497	C₂²×C₁₃	1	2	yes	complemented
627	#497	C₂²×C₁₃	1	2	yes	complemented
628	#496	C₂²×C₁₃	1	2	yes	—
629	#496	C₂²×C₁₃	1	2	yes	—
630	#496	C₂²×C₁₃	1	2	yes	complemented
631	#496	C₂²×C₁₃	1	2	yes	complemented
632	#495	C₂²×C₁₃	1	2	yes	—
633	#495	C₂²×C₁₃	1	2	yes	complemented
634	#495	C₂²×C₁₃	1	2	yes	complemented
635	#495	C₂²×C₁₃	1	2	yes	complemented
636	#493	C₂²×C₁₃	1	2	yes	—
637	#492	C₂²×C₁₃	1	2	yes	complemented
638	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	#464	C₂²×C₁₃	1	2	yes	complemented
640	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#464	C₂²×C₁₃	1	2	yes	complemented
642	#464	C₂²×C₁₃	1	2	yes	complemented
643	#464	C₂²×C₁₃	1	2	yes	complemented
644	#463	C₂²×C₁₃	1	2	yes	—
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	2	yes	—
650	#463	C₂²×C₁₃	1	2	yes	complemented
651	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#463	C₂²×C₁₃	1	2	yes	complemented
653	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	#462	C₂²×C₁₃	1	2	yes	complemented
655	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#461	C₂²×C₁₃	1	2	yes	complemented
657	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	#460	C₂²×C₁₃	1	2	yes	complemented
659	#460	C₂²×C₁₃	1	2	yes	complemented
660	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#460	C₂²×C₁₃	1	2	yes	complemented
662	#459	C₂²×C₁₃	1	2	yes	—
663	#459	C₂²×C₁₃	1	2	yes	—
664	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	#459	C₂²×C₁₃	1	2	yes	complemented
666	#446	C₂²×C₁₃	1	2	yes	complemented
667	#446	C₂²×C₁₃	1	2	yes	complemented
668	#446	C₂²×C₁₃	1	2	yes	complemented
669	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
670	#442	C₂²×C₁₃	1	2	yes	complemented
671	#442	C₂²×C₁₃	1	2	yes	complemented
672	#441	C₂²×C₁₃	1	2	yes	complemented
673	#440	C₂²×C₁₃	1	2	yes	complemented
674	#440	C₂²×C₁₃	1	2	yes	complemented
675	#440	C₂²×C₁₃	1	2	yes	complemented
676	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
677	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
678	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
679	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
680	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
681	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
682	#428	C₂²×C₁₃	1	1	yes	characteristic
683	#424	C₂²×C₁₃	1	1	yes	characteristic
684	#424	C₂²×C₁₃	1	1	yes	characteristic
685	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
686	#418	C₂²×C₁₃	1	1	yes	characteristic
687	#417	C₂²×C₁₃	1	1	yes	characteristic
688	#416	C₂²×C₁₃	1	1	yes	characteristic
689	#416	C₂²×C₁₃	1	1	yes	characteristic
690	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
691	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
692	#405	C₂²×C₁₃	1	1	yes	characteristic
693	#405	C₂²×C₁₃	1	1	yes	characteristic
694	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
695	C₂²×C₁₃	—	2	1	no	—
696	C₂²×C₁₃	—	2	1	no	—
697	C₂²×C₁₃	—	4	1	no	—
698	C₂²×C₁₃	—	4	2	no	—
699	C₂²×C₁₃	—	4	1	no	—
700	C₂²×C₁₃	—	4	1	no	—
701	C₂²×C₁₃	—	4	2	no	—
702	C₂²×C₁₃	—	4	2	no	—
703	C₂²×C₁₃	—	4	1	no	—
704	C₂²×C₁₃	—	4	1	no	—
705	C₂²×C₁₃	—	4	1	no	—
706	C₂²×C₁₃	—	4	2	no	—
707	C₂²×C₁₃	—	4	1	no	—
708	C₂²×C₁₃	—	4	1	no	—
709	C₂²×C₁₃	—	4	1	no	—
710	C₂²×C₁₃	—	4	2	no	—
711	C₂²×C₁₃	—	4	2	no	—
712	C₂²×C₁₃	—	8	4	no	—
713	C₂²×C₁₃	—	16	2	no	—
714	C₂²×C₁₃	#550	1	2	yes	—
715	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
716	C₄×C₁₃	—	2	1	no	—
717	C₄×C₁₃	—	2	1	no	—
718	C₄×C₁₃	—	2	2	no	—
719	C₄×C₁₃	—	2	2	no	—
720	C₄×C₁₃	—	2	1	no	—
721	C₄×C₁₃	—	2	1	no	—
722	C₄×C₁₃	—	2	2	no	—
723	C₄×C₁₃	—	2	2	no	—
724	C₄×C₁₃	—	4	1	no	—
725	C₄×C₁₃	—	4	2	no	—
726	C₄×C₁₃	—	4	1	no	—
727	C₄×C₁₃	—	4	1	no	—
728	C₄×C₁₃	—	4	1	no	—
729	C₄×C₁₃	—	4	1	no	—
730	C₄×C₁₃	—	4	2	no	—
731	C₄×C₁₃	#550	1	2	yes	—
732	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
733	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
734	C₂×#41	—	2	2	no	—
735	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
736	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
737	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
738	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
739	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
740	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
741	C₂³×C₄	—	2	1	no	—
742	#137	—	2	4	no	—
743	#137	—	4	2	no	—
744	AGL(1,ℤ/8)	—	2	4	no	—
745	AGL(1,ℤ/8)	—	2	4	no	—
746	AGL(1,ℤ/8)	—	4	2	no	—
747	#135	—	4	2	no	—
748	#135	—	4	2	no	—
749	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
750	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
751	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
753	C₂×SD₁₆	—	4	2	no	—
754	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
755	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
756	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
757	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
758	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
759	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
760	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
761	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
762	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
763	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
764	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
765	C₂×D₈	—	4	2	no	—
766	C₂×D₈	C₂³×C₁₃	1	2	yes	—
767	C₂×D₈	C₂³×C₁₃	1	2	yes	—
768	C₂×D₈	C₂³×C₁₃	1	2	yes	—
769	C₂×D₈	C₂³×C₁₃	1	2	yes	—
770	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
771	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
772	C₂×D₈	C₂³×C₁₃	1	2	yes	—
773	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
774	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
775	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
776	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
777	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
778	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
779	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
780	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
781	#127	C₂³×C₁₃	1	1	yes	characteristic
782	#127	C₂³×C₁₃	1	2	yes	—
783	#127	C₂³×C₁₃	1	2	yes	—
784	#127	C₂³×C₁₃	1	2	yes	—
785	#126	—	2	2	no	—
786	#126	—	2	2	no	—
787	#126	—	2	2	no	—
788	#126	—	2	2	no	—
789	#126	—	2	2	no	—
790	#126	—	2	2	no	—
791	#125	D₄×C₁₃	1	1	yes	characteristic
792	#125	D₄×C₁₃	1	1	yes	characteristic
793	#124	—	2	2	no	—
794	#124	—	2	2	no	—
795	#124	—	2	2	no	—
796	#124	—	2	2	no	—
797	#124	—	2	1	no	—
798	#124	—	2	1	no	—
799	#124	C₂³×C₁₃	1	2	yes	—
800	#124	C₂³×C₁₃	1	2	yes	—
801	#124	C₂³×C₁₃	1	1	yes	characteristic
802	#124	C₂³×C₁₃	1	1	yes	characteristic
803	#124	C₂³×C₁₃	1	2	yes	—
804	#124	C₂³×C₁₃	1	2	yes	—
805	#124	C₂³×C₁₃	1	2	yes	—
806	#124	C₂³×C₁₃	1	2	yes	—
807	#123	—	2	2	no	—
808	#123	—	2	2	no	—
809	#123	—	2	2	no	—
810	#123	—	2	2	no	—
811	#123	—	2	2	no	—
812	#123	—	2	2	no	—
813	#123	—	2	2	no	—
814	#123	—	2	2	no	—
815	#123	—	2	2	no	—
816	C₂²⋊Q₈	—	2	2	no	—
817	C₂²⋊Q₈	—	2	2	no	—
818	C₂²⋊Q₈	—	2	2	no	—
819	C₂²⋊Q₈	—	2	1	no	—
820	C₂²⋊Q₈	—	2	1	no	—
821	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
822	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
823	#121	—	2	1	no	—
824	#121	—	2	1	no	—
825	#121	—	2	2	no	—
826	#121	—	2	1	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	—	2	2	no	—
833	#121	—	2	2	no	—
834	#120	—	2	2	no	—
835	#120	—	2	2	no	—
836	#120	—	2	2	no	—
837	C₄×Q₈	—	2	1	no	—
838	C₄×Q₈	—	2	1	no	—
839	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
840	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
841	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
842	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
843	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
844	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
845	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
846	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
847	C₄×D₄	—	2	1	no	—
848	C₄×D₄	—	2	1	no	—
849	C₄×D₄	—	2	1	no	—
850	C₄×D₄	—	2	1	no	—
851	C₄×D₄	—	2	2	no	—
852	C₄×D₄	—	2	2	no	—
853	C₄×D₄	—	2	2	no	—
854	C₄×D₄	—	2	2	no	—
855	C₄×D₄	—	2	2	no	—
856	C₄×D₄	—	2	2	no	—
857	C₄×D₄	—	2	1	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	C₂³×C₁₃	1	2	yes	—
862	C₄×D₄	C₂³×C₁₃	1	2	yes	—
863	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
865	C₄×D₄	C₂³×C₁₃	1	2	yes	—
866	C₄×D₄	C₂³×C₁₃	1	2	yes	—
867	C₄×D₄	C₂³×C₁₃	1	2	yes	—
868	C₄×D₄	C₂³×C₁₃	1	2	yes	—
869	#117	—	2	1	no	—
870	#117	—	2	1	no	—
871	#117	—	2	2	no	—
872	#117	—	2	2	no	—
873	#117	—	2	2	no	—
874	#117	—	2	2	no	—
875	#117	—	2	1	no	—
876	#117	C₂³×C₁₃	1	1	yes	characteristic
877	#117	C₂³×C₁₃	1	1	yes	characteristic
878	#117	C₂³×C₁₃	1	1	yes	characteristic
879	C₂×C₄⋊C₄	—	2	1	no	—
880	C₂×C₄⋊C₄	—	2	1	no	—
881	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	—	2	1	no	—
883	C₂×C₂²⋊C₄	—	2	1	no	—
884	C₂×C₂²⋊C₄	—	2	1	no	—
885	C₂×C₂²⋊C₄	—	2	2	no	—
886	C₂×C₄²	—	2	1	no	—
887	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
888	#107	C₂³×C₁₃	1	2	yes	—
889	#106	C₂³×C₁₃	1	2	yes	—
890	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
891	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
892	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
893	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
894	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
895	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
896	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
897	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
898	#103	C₂³×C₁₃	1	2	yes	—
899	#103	C₂³×C₁₃	1	2	yes	—
900	#103	C₂³×C₁₃	1	1	yes	characteristic
901	#103	C₂³×C₁₃	1	1	yes	characteristic
902	#103	C₂³×C₁₃	1	1	yes	characteristic
903	#103	C₂³×C₁₃	1	1	yes	characteristic
904	#103	C₂³×C₁₃	1	2	yes	—
905	#102	C₂³×C₁₃	1	2	yes	—
906	#102	C₂³×C₁₃	1	2	yes	—
907	#102	C₂³×C₁₃	1	1	yes	characteristic
908	#102	C₂³×C₁₃	1	1	yes	characteristic
909	#102	C₂³×C₁₃	1	1	yes	characteristic
910	#102	C₂³×C₁₃	1	1	yes	characteristic
911	#102	C₂³×C₁₃	1	2	yes	—
912	#102	C₂³×C₁₃	1	2	yes	—
913	#102	C₂³×C₁₃	1	2	yes	—
914	#97	C₂³×C₁₃	1	2	yes	—
915	#97	C₂³×C₁₃	1	2	yes	—
916	#97	C₂³×C₁₃	1	2	yes	—
917	C₄×C₈	C₂³×C₁₃	1	2	yes	—
918	C₄×C₈	C₂³×C₁₃	1	2	yes	—
919	C₄×C₈	C₂³×C₁₃	1	2	yes	—
920	C₂×C₁₃	—	2	2	no	—
921	C₂×C₁₃	—	8	1	no	—
922	C₂×C₁₃	—	8	1	no	—
923	C₂×C₁₃	—	8	1	no	—
924	C₂×C₁₃	—	8	2	no	—
925	C₂×C₁₃	—	8	2	no	—
926	C₂×C₁₃	C₂×#550	1	1	yes	characteristic
927	C₂×C₁₃	#3584	1	1	yes	characteristic
928	C₂×C₁₃	#3585	1	1	yes	characteristic
929	C₂⁴	—	2	1	no	—
930	C₂⁴	—	2	1	no	—
931	#41	—	2	2	no	—
932	#41	—	2	2	no	—
933	#41	—	2	2	no	—
934	#41	—	2	2	no	—
935	#41	—	2	2	no	—
936	#41	—	2	2	no	—
937	#41	—	8	4	no	—
938	C₂×Q₈	—	2	1	no	—
939	C₂×Q₈	—	2	2	no	—
940	C₂×Q₈	—	2	2	no	—
941	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
942	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
943	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
944	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₂×D₄	—	2	1	no	—
948	C₂×D₄	—	2	1	no	—
949	C₂×D₄	—	2	1	no	—
950	C₂×D₄	—	2	1	no	—
951	C₂×D₄	—	2	1	no	—
952	C₂×D₄	—	2	1	no	—
953	C₂×D₄	—	2	2	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	2	no	—
956	C₂×D₄	—	2	2	no	—
957	C₂×D₄	—	2	1	no	—
958	C₂×D₄	—	2	2	no	—
959	C₂×D₄	—	2	2	no	—
960	C₂×D₄	—	2	2	no	—
961	C₂×D₄	—	2	2	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	2	no	—
964	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
965	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
967	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
968	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₂²×C₄	—	2	1	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	1	no	—
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	2	2	no	—
975	C₂²×C₄	—	2	1	no	—
976	C₂²×C₄	—	2	1	no	—
977	C₂²×C₄	—	2	2	no	—
978	C₂²×C₄	—	2	2	no	—
979	C₂²×C₄	—	2	2	no	—
980	C₂²×C₄	—	2	2	no	—
981	C₂²×C₄	—	2	2	no	—
982	C₂²×C₄	—	8	2	no	—
983	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
984	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
985	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
986	Q₁₆	—	2	4	no	—
987	Q₁₆	—	4	1	no	—
988	Q₁₆	—	4	1	no	—
989	Q₁₆	—	4	2	no	—
990	SD₁₆	—	2	4	no	—
991	SD₁₆	—	2	4	no	—
992	SD₁₆	—	2	4	no	—
993	SD₁₆	—	4	2	no	—
994	SD₁₆	—	4	2	no	—
995	SD₁₆	—	4	1	no	—
996	SD₁₆	—	4	1	no	—
997	SD₁₆	—	4	1	no	—
998	SD₁₆	—	4	1	no	—
999	SD₁₆	—	4	2	no	—
1000	SD₁₆	—	4	2	no	—
1001	D₈	—	2	4	no	—
1002	D₈	—	2	4	no	—
1003	D₈	—	4	2	no	—
1004	D₈	—	4	2	no	—
1005	D₈	—	4	1	no	—
1006	D₈	—	4	1	no	—
1007	D₈	—	4	2	no	—
1008	M₁₆	—	2	2	no	—
1009	M₁₆	C₁₃×#41	1	4	yes	complemented
1010	C₂×C₈	—	2	2	no	—
1011	C₂×C₈	—	2	2	no	—
1012	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1013	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1015	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1017	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1018	C₄⋊C₄	—	2	1	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	2	no	—
1021	C₄⋊C₄	—	2	1	no	—
1022	C₄⋊C₄	—	2	1	no	—
1023	C₄⋊C₄	—	2	1	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1030	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1031	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1032	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1033	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1034	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1035	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1036	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1037	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1038	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1039	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1041	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1042	C₂²⋊C₄	—	2	1	no	—
1043	C₂²⋊C₄	—	2	2	no	—
1044	C₂²⋊C₄	—	2	2	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	—	2	2	no	—
1050	C₂²⋊C₄	—	2	2	no	—
1051	C₂²⋊C₄	—	2	2	no	—
1052	C₂²⋊C₄	—	2	2	no	—
1053	C₂²⋊C₄	—	2	1	no	—
1054	C₂²⋊C₄	—	2	1	no	—
1055	C₂²⋊C₄	—	2	2	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	2	1	no	—
1060	C₂²⋊C₄	—	2	1	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	2	no	—
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1068	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1069	C₄²	—	2	1	no	—
1070	C₄²	—	2	1	no	—
1071	C₄²	—	2	1	no	—
1072	C₄²	—	2	2	no	—
1073	C₄²	—	2	2	no	—
1074	C₄²	—	2	2	no	—
1075	C₄²	—	2	2	no	—
1076	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1077	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1078	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1079	C₄²	C₂⁴×C₁₃	1	2	yes	—
1080	C₄²	C₂⁴×C₁₃	1	2	yes	—
1081	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1082	C₁₃	#61424	1	1	yes	characteristic, direct product factor, Sylow
1083	C₂³	—	2	2	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	2	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	4	2	no	—
1089	C₂³	—	4	2	no	—
1090	C₂³	—	8	1	no	—
1091	C₂³	—	8	1	no	—
1092	C₂³	—	8	1	no	—
1093	C₂³	—	8	1	no	—
1094	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1095	Q₈	—	2	1	no	—
1096	Q₈	—	2	1	no	—
1097	Q₈	—	2	2	no	—
1098	Q₈	—	2	1	no	—
1099	Q₈	—	2	2	no	—
1100	Q₈	—	2	1	no	—
1101	Q₈	—	2	1	no	—
1102	Q₈	—	2	1	no	—
1103	Q₈	—	4	2	no	—
1104	Q₈	—	4	2	no	—
1105	Q₈	—	4	2	no	—
1106	D₄	—	2	1	no	—
1107	D₄	—	2	1	no	—
1108	D₄	—	2	2	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	1	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	2	1	no	—
1113	D₄	—	2	2	no	—
1114	D₄	—	2	1	no	—
1115	D₄	—	2	1	no	—
1116	D₄	—	4	2	no	—
1117	D₄	—	4	2	no	—
1118	D₄	—	4	2	no	—
1119	D₄	—	4	2	no	—
1120	D₄	—	4	2	no	—
1121	D₄	—	4	2	no	—
1122	D₄	—	8	1	no	—
1123	D₄	—	8	2	no	—
1124	D₄	—	8	2	no	—
1125	D₄	—	8	2	no	—
1126	D₄	—	8	2	no	—
1127	D₄	—	8	2	no	—
1128	D₄	—	8	2	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	2	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	4	1	no	—
1137	C₂×C₄	—	4	1	no	—
1138	C₂×C₄	—	4	4	no	—
1139	C₂×C₄	—	4	2	no	—
1140	C₂×C₄	—	4	2	no	—
1141	C₂×C₄	—	4	2	no	—
1142	C₂×C₄	—	4	2	no	—
1143	C₂×C₄	—	8	2	no	—
1144	C₂×C₄	—	8	1	no	—
1145	C₂×C₄	—	8	2	no	—
1146	C₂×C₄	—	8	1	no	—
1147	C₂×C₄	—	8	2	no	—
1148	C₂×C₄	—	8	2	no	—
1149	C₂×C₄	—	8	2	no	—
1150	C₂×C₄	—	8	1	no	—
1151	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1152	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1153	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1154	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1155	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1156	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1157	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1158	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1159	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1160	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1161	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1162	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1163	C₈	—	2	1	no	—
1164	C₈	—	2	1	no	—
1165	C₈	—	2	1	no	—
1166	C₈	—	2	1	no	—
1167	C₈	—	2	2	no	—
1168	C₈	C₂×C₁₃×#41	1	4	yes	—
1169	C₂²	—	2	1	no	—
1170	C₂²	—	2	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	2	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	4	1	no	—
1175	C₂²	—	4	2	no	—
1176	C₂²	—	4	2	no	—
1177	C₂²	—	4	1	no	—
1178	C₂²	—	4	1	no	—
1179	C₂²	—	4	1	no	—
1180	C₂²	—	4	2	no	—
1181	C₂²	—	4	1	no	—
1182	C₂²	—	4	1	no	—
1183	C₂²	—	4	1	no	—
1184	C₂²	—	4	2	no	—
1185	C₂²	—	4	2	no	—
1186	C₂²	—	8	4	no	—
1187	C₂²	—	16	2	no	—
1188	C₂²	C₁₃×#550	1	2	yes	—
1189	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1190	C₄	—	2	1	no	—
1191	C₄	—	2	1	no	—
1192	C₄	—	2	2	no	—
1193	C₄	—	2	2	no	—
1194	C₄	—	2	1	no	—
1195	C₄	—	2	1	no	—
1196	C₄	—	2	2	no	—
1197	C₄	—	2	2	no	—
1198	C₄	—	4	1	no	—
1199	C₄	—	4	2	no	—
1200	C₄	—	4	1	no	—
1201	C₄	—	4	1	no	—
1202	C₄	—	4	1	no	—
1203	C₄	—	4	1	no	—
1204	C₄	—	4	2	no	—
1205	C₄	C₁₃×#550	1	2	yes	—
1206	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1207	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1208	C₂	—	2	2	no	—
1209	C₂	—	8	2	no	—
1210	C₂	—	8	2	no	—
1211	C₂	—	8	1	no	—
1212	C₂	—	8	1	no	—
1213	C₂	—	8	1	no	—
1214	C₂	C₂×C₁₃×#550	1	1	yes	characteristic
1215	C₂	C₁₃×#3584	1	1	yes	characteristic
1216	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#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×#3506	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3402	C₂	semidirect
5. C₁₃×#3401	C₂	semidirect
6. C₁₃×#3401	C₂	semidirect
7. C₁₃×#3399	C₂	semidirect
8. C₁₃×#3397	C₂	semidirect
9. C₁₃×#3396	C₂	semidirect
10. C₁₃×#3394	C₂	semidirect
11. C₁₃×#3155	C₂	semidirect
12. C₁₃×#3154	C₂	semidirect
13. C₁₃×#3153	C₂	semidirect
14. C₁₃×#3046	C₂	semidirect
15. C₁₃×#3045	C₂	semidirect
16. C₁₃×#3043	C₂	semidirect
17. C₁₃×#3041	C₂	semidirect
18. C₁₃×#3035	C₂	semidirect
19. C₂×C₁₃×#463	C₂	semidirect
20. C₁₃×#2962	C₂	semidirect
21. C₁₃×#2947	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
33. C₁₃×#559	C₂²	semidirect
34. C₁₃×#559	C₂²	semidirect
35. C₁₃×#559	C₂²	semidirect
36. C₁₃×#559	C₂²	semidirect
37. C₁₃×#556	C₂²	semidirect
38. C₁₃×#556	C₂²	semidirect
39. C₁₃×#556	C₂²	semidirect
45. C₁₃×#550	C₂²	semidirect
66. C₁₃×#497	C₂²	semidirect
67. C₁₃×#497	C₂²	semidirect
70. C₁₃×#496	C₂²	semidirect
71. C₁₃×#496	C₂²	semidirect
73. C₁₃×#495	C₂²	semidirect
74. C₁₃×#495	C₂²	semidirect
75. C₁₃×#495	C₂²	semidirect
77. C₁₃×#492	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#464	C₂²	semidirect
80. C₁₃×#464	C₂²	semidirect
81. C₁₃×#464	C₂²	semidirect
82. C₁₃×#464	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
90. C₁₃×#463	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×#461	C₂²	semidirect
97. C₁₃×#461	C₂²	semidirect
98. C₁₃×#460	C₂²	semidirect
99. C₁₃×#460	C₂²	semidirect
100. C₁₃×#460	C₂²	semidirect
101. C₁₃×#460	C₂²	semidirect
104. C₁₃×#459	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
110. C₁₃×#442	C₂²	semidirect
111. C₁₃×#442	C₂²	semidirect
112. C₁₃×#441	C₂²	semidirect
113. C₁₃×#440	C₂²	semidirect
114. C₁₃×#440	C₂²	semidirect
115. C₁₃×#440	C₂²	semidirect
116. C₄×C₁₃×Q₁₆	C₂²	semidirect
117. C₄×C₁₃×SD₁₆	C₂²	semidirect
118. C₄×C₁₃×SD₁₆	C₂²	semidirect
119. C₄×C₁₃×SD₁₆	C₂²	semidirect
120. C₄×C₁₃×D₈	C₂²	semidirect
121. C₄×C₁₃×D₈	C₂²	semidirect
321. #61424	C₁₃	direct (N × H)
402. C₁₃×M₁₆	#41	semidirect
475. #3510	C₂×C₁₃	semidirect
476. #3506	C₂×C₁₃	semidirect
477. #3403	C₂×C₁₃	semidirect
478. #3402	C₂×C₁₃	semidirect
479. #3401	C₂×C₁₃	semidirect
480. #3401	C₂×C₁₃	semidirect
481. #3399	C₂×C₁₃	semidirect
482. #3397	C₂×C₁₃	semidirect
483. #3396	C₂×C₁₃	semidirect
484. #3394	C₂×C₁₃	semidirect
485. #3155	C₂×C₁₃	semidirect
486. #3154	C₂×C₁₃	semidirect
487. #3153	C₂×C₁₃	semidirect
488. #3046	C₂×C₁₃	semidirect
489. #3045	C₂×C₁₃	semidirect
490. #3043	C₂×C₁₃	semidirect
491. #3041	C₂×C₁₃	semidirect
492. #3035	C₂×C₁₃	semidirect
493. C₂×#463	C₂×C₁₃	semidirect
494. #2962	C₂×C₁₃	semidirect
495. #2947	C₂×C₁₃	semidirect
496. #2946	C₂×C₁₃	semidirect
497. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
593. #559	C₂²×C₁₃	semidirect
594. #559	C₂²×C₁₃	semidirect
595. #559	C₂²×C₁₃	semidirect
596. #559	C₂²×C₁₃	semidirect
597. #556	C₂²×C₁₃	semidirect
598. #556	C₂²×C₁₃	semidirect
599. #556	C₂²×C₁₃	semidirect
605. #550	C₂²×C₁₃	semidirect
626. #497	C₂²×C₁₃	semidirect
627. #497	C₂²×C₁₃	semidirect
630. #496	C₂²×C₁₃	semidirect
631. #496	C₂²×C₁₃	semidirect
633. #495	C₂²×C₁₃	semidirect
634. #495	C₂²×C₁₃	semidirect
635. #495	C₂²×C₁₃	semidirect
637. #492	C₂²×C₁₃	semidirect
638. #464	C₂²×C₁₃	semidirect
639. #464	C₂²×C₁₃	semidirect
640. #464	C₂²×C₁₃	semidirect
641. #464	C₂²×C₁₃	semidirect
642. #464	C₂²×C₁₃	semidirect
643. #464	C₂²×C₁₃	semidirect
650. #463	C₂²×C₁₃	semidirect
651. #463	C₂²×C₁₃	semidirect
652. #463	C₂²×C₁₃	semidirect
653. #463	C₂²×C₁₃	semidirect
654. #462	C₂²×C₁₃	semidirect
655. #462	C₂²×C₁₃	semidirect
656. #461	C₂²×C₁₃	semidirect
657. #461	C₂²×C₁₃	semidirect
658. #460	C₂²×C₁₃	semidirect
659. #460	C₂²×C₁₃	semidirect
660. #460	C₂²×C₁₃	semidirect
661. #460	C₂²×C₁₃	semidirect
664. #459	C₂²×C₁₃	semidirect
665. #459	C₂²×C₁₃	semidirect
666. #446	C₂²×C₁₃	semidirect
667. #446	C₂²×C₁₃	semidirect
668. #446	C₂²×C₁₃	semidirect
669. C₈×Q₈	C₂²×C₁₃	semidirect
670. #442	C₂²×C₁₃	semidirect
671. #442	C₂²×C₁₃	semidirect
672. #441	C₂²×C₁₃	semidirect
673. #440	C₂²×C₁₃	semidirect
674. #440	C₂²×C₁₃	semidirect
675. #440	C₂²×C₁₃	semidirect
676. C₄×Q₁₆	C₂²×C₁₃	semidirect
677. C₄×SD₁₆	C₂²×C₁₃	semidirect
678. C₄×SD₁₆	C₂²×C₁₃	semidirect
679. C₄×SD₁₆	C₂²×C₁₃	semidirect
680. C₄×D₈	C₂²×C₁₃	semidirect
681. C₄×D₈	C₂²×C₁₃	semidirect
1009. M₁₆	C₁₃×#41	semidirect
1082. C₁₃	#61424	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×#3506	2
C₁₃×#3403	2
C₁₃×#3402	2
C₁₃×#3401	2
C₁₃×#3399	2
C₁₃×#3397	2
C₁₃×#3396	2
C₁₃×#3394	2
C₁₃×#3155	2
C₁₃×#3154	2
C₁₃×#3153	2
C₁₃×#3046	2
C₁₃×#3045	2
C₁₃×#3043	2
C₁₃×#3041	2
C₁₃×#3035	2
C₂×C₁₃×#463	2
C₁₃×#2962	2
C₁₃×#2947	2
C₁₃×#2946	2
C₄×C₁₃×AGL(1,ℤ/8)	2
#61424	13

Subgroups — C13×#61424 #15747763

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61424 #15747763