Subgroups — C₁₃×#61553 #15747892

Order 3328.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₈×C₁₃×D₈	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3357	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3353	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3273	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3272	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3182	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2946	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#555	C₂²	1	2	yes	—
30	C₁₃×#554	C₂²	1	2	yes	complemented
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#551	—	2	2	no	—
33	C₁₃×#551	—	2	2	no	—
34	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#548	—	2	1	no	—
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#547	C₂²	1	1	yes	characteristic
39	C₁₃×#547	C₂²	1	1	yes	characteristic
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	2	yes	—
42	C₁₃×#546	C₂²	1	2	yes	complemented
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#542	C₂²	1	2	yes	complemented
45	C₁₃×#542	C₂²	1	2	yes	complemented
46	C₁₃×#539	—	2	2	no	—
47	C₁₃×#538	—	2	2	no	—
48	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#529	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×#124	—	2	1	no	—
53	C₁₃×#525	—	2	1	no	—
54	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
55	C₁₃×#520	C₂²	1	2	yes	complemented
56	C₁₃×#518	C₂²	1	2	yes	complemented
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#500	C₂²	1	2	yes	complemented
61	C₁₃×#495	C₂²	1	2	yes	complemented
62	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#489	C₂²	1	2	yes	complemented
64	C₁₃×#489	C₂²	1	2	yes	complemented
65	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#485	C₂²	1	2	yes	complemented
69	C₁₃×#484	C₂²	1	2	yes	complemented
70	C₁₃×#482	C₂²	1	2	yes	complemented
71	C₁₃×#480	C₂²	1	2	yes	complemented
72	C₁₃×#480	C₂²	1	2	yes	complemented
73	C₁₃×#477	C₂²	1	2	yes	complemented
74	C₁₃×#476	C₂²	1	2	yes	complemented
75	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#474	C₂²	1	2	yes	complemented
79	C₁₃×#474	C₂²	1	2	yes	complemented
80	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#468	C₂²	1	2	yes	complemented
82	C₁₃×#468	C₂²	1	2	yes	complemented
83	C₁₃×#468	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#467	C₂²	1	2	yes	complemented
86	C₁₃×#466	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	complemented
90	C₁₃×#463	C₂²	1	2	yes	complemented
91	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#459	C₂²	1	1	yes	characteristic
94	C₁₃×#459	C₂²	1	1	yes	characteristic
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#452	C₂²	1	2	yes	complemented
97	C₁₃×#450	C₂²	1	2	yes	complemented
98	C₁₃×#449	C₂²	1	2	yes	—
99	C₁₃×#447	C₂²	1	2	yes	—
100	C₁₃×#447	C₂²	1	2	yes	complemented
101	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
102	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#442	C₂²	1	1	yes	characteristic
104	C₁₃×#442	C₂²	1	1	yes	characteristic
105	C₁₃×#442	C₂²	1	2	yes	complemented
106	C₁₃×#440	C₂²	1	2	yes	complemented
107	C₁₃×#440	C₂²	1	2	yes	complemented
108	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#440	C₂²	1	2	yes	complemented
111	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
112	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
116	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×D₈	C₂²	1	2	yes	—
118	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
120	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
121	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#433	C₂²	1	2	yes	complemented
126	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#428	C₂²	1	2	yes	complemented
128	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#417	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
133	C₁₃×#405	C₂²	1	2	yes	complemented
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	C₂³	1	2	yes	—
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	—	2	1	no	—
140	C₂²×Q₈×C₁₃	—	2	1	no	—
141	C₂²×D₄×C₁₃	—	2	1	no	—
142	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃	—	2	1	no	—
145	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
146	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
160	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	D₄	1	2	yes	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	D₄	1	1	yes	characteristic
175	C₁₃×#124	—	2	1	no	—
176	C₁₃×#124	—	2	1	no	—
177	C₁₃×#124	—	2	2	no	—
178	C₁₃×#124	—	2	2	no	—
179	C₁₃×#124	—	2	2	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	1	no	—
182	C₁₃×#124	D₄	1	1	yes	characteristic
183	C₁₃×#124	C₂³	1	2	yes	—
184	C₁₃×#124	C₂³	1	2	yes	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	D₄	1	2	yes	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
205	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	D₄	1	1	yes	characteristic
215	C₁₃×#121	C₂³	1	2	yes	—
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	2	yes	—
218	C₁₃×#120	—	2	2	no	—
219	C₁₃×#120	—	2	2	no	—
220	C₁₃×#120	—	2	2	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	2	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	2	yes	—
249	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	2	no	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	1	no	—
256	C₁₃×#117	C₂³	1	2	yes	—
257	C₁₃×#117	C₂³	1	1	yes	characteristic
258	C₁₃×#117	C₂³	1	2	yes	—
259	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	1	yes	characteristic
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#107	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#102	C₂³	1	1	yes	characteristic
292	C₁₃×#102	C₂³	1	2	yes	—
293	C₁₃×#102	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	1	yes	characteristic
308	C₁₃×#97	C₂³	1	1	yes	characteristic
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	#61553	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂⁴×C₁₃	—	2	1	no	—
316	C₂⁴×C₁₃	—	2	2	no	—
317	C₁₃×#41	—	2	4	no	—
318	C₁₃×#41	—	2	2	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₁₃×#41	—	4	1	no	—
321	C₁₃×#41	—	8	2	no	—
322	C₁₃×#41	—	8	2	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	1	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	8	2	no	—
328	C₂×Q₈×C₁₃	—	8	2	no	—
329	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	4	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	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	1	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	4	2	no	—
344	C₂×D₄×C₁₃	—	4	1	no	—
345	C₂×D₄×C₁₃	—	8	2	no	—
346	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
347	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
348	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	2	no	—
364	C₂²×C₄×C₁₃	—	2	1	no	—
365	C₂²×C₄×C₁₃	—	2	1	no	—
366	C₂²×C₄×C₁₃	—	8	2	no	—
367	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
371	C₁₃×Q₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	2	2	no	—
373	C₁₃×SD₁₆	—	2	4	no	—
374	C₁₃×SD₁₆	—	2	4	no	—
375	C₁₃×SD₁₆	—	2	2	no	—
376	C₁₃×SD₁₆	—	4	2	no	—
377	C₁₃×D₈	—	2	4	no	—
378	C₁₃×D₈	—	2	2	no	—
379	C₁₃×D₈	—	4	2	no	—
380	C₁₃×D₈	#41	1	4	yes	complemented
381	C₁₃×M₁₆	—	2	2	no	—
382	C₁₃×M₁₆	—	2	4	no	—
383	C₁₃×M₁₆	—	4	1	no	—
384	C₂×C₈×C₁₃	—	4	2	no	—
385	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
386	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
390	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	1	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	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	1	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
445	C₄²×C₁₃	—	2	1	no	—
446	C₄²×C₁₃	—	2	1	no	—
447	C₄²×C₁₃	—	2	1	no	—
448	C₄²×C₁₃	—	2	2	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	2	2	no	—
451	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₃	C₂⁴	1	2	yes	—
456	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3514	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
459	Q₈×D₈	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3357	C₂×C₁₃	1	2	yes	complemented
463	#3353	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3319	C₂×C₁₃	1	2	yes	complemented
465	#3314	C₂×C₁₃	1	2	yes	complemented
466	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3273	C₂×C₁₃	1	2	yes	complemented
469	#3272	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3182	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3175	C₂×C₁₃	1	2	yes	complemented
472	#3124	C₂×C₁₃	1	2	yes	complemented
473	#3118	C₂×C₁₃	1	2	yes	complemented
474	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#2969	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#2946	C₂×C₁₃	1	2	yes	complemented
478	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
479	C₂³×C₁₃	—	2	1	no	—
480	C₂³×C₁₃	—	2	1	no	—
481	C₂³×C₁₃	—	2	1	no	—
482	C₂³×C₁₃	—	2	2	no	—
483	C₂³×C₁₃	—	4	2	no	—
484	C₂³×C₁₃	—	4	4	no	—
485	C₂³×C₁₃	—	4	2	no	—
486	C₂³×C₁₃	—	8	1	no	—
487	C₂³×C₁₃	—	8	2	no	—
488	C₂³×C₁₃	—	8	2	no	—
489	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
490	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
491	Q₈×C₁₃	—	2	2	no	—
492	Q₈×C₁₃	—	2	1	no	—
493	Q₈×C₁₃	—	2	2	no	—
494	Q₈×C₁₃	—	2	2	no	—
495	Q₈×C₁₃	—	2	1	no	—
496	Q₈×C₁₃	—	4	2	no	—
497	Q₈×C₁₃	—	4	2	no	—
498	Q₈×C₁₃	—	8	2	no	—
499	Q₈×C₁₃	—	8	2	no	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	2	1	no	—
502	D₄×C₁₃	—	2	2	no	—
503	D₄×C₁₃	—	2	1	no	—
504	D₄×C₁₃	—	2	1	no	—
505	D₄×C₁₃	—	2	1	no	—
506	D₄×C₁₃	—	2	2	no	—
507	D₄×C₁₃	—	4	2	no	—
508	D₄×C₁₃	—	4	2	no	—
509	D₄×C₁₃	—	4	4	no	—
510	D₄×C₁₃	—	4	4	no	—
511	D₄×C₁₃	—	4	2	no	—
512	D₄×C₁₃	—	4	2	no	—
513	D₄×C₁₃	—	8	1	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	8	2	no	—
517	D₄×C₁₃	C₂×#41	1	2	yes	—
518	D₄×C₁₃	C₂×#41	1	2	yes	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	2	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	4	1	no	—
533	C₂×C₄×C₁₃	—	4	4	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	4	2	no	—
536	C₂×C₄×C₁₃	—	4	2	no	—
537	C₂×C₄×C₁₃	—	4	2	no	—
538	C₂×C₄×C₁₃	—	8	1	no	—
539	C₂×C₄×C₁₃	—	8	2	no	—
540	C₂×C₄×C₁₃	—	8	1	no	—
541	C₂×C₄×C₁₃	—	8	1	no	—
542	C₂×C₄×C₁₃	—	8	2	no	—
543	C₂×C₄×C₁₃	—	8	2	no	—
544	C₂×C₄×C₁₃	—	8	2	no	—
545	C₂×C₄×C₁₃	—	8	1	no	—
546	C₂×C₄×C₁₃	—	8	2	no	—
547	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
554	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
555	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
556	C₈×C₁₃	—	2	1	no	—
557	C₈×C₁₃	—	2	2	no	—
558	C₈×C₁₃	—	2	1	no	—
559	C₈×C₁₃	—	2	2	no	—
560	C₈×C₁₃	—	2	1	no	—
561	C₈×C₁₃	C₂×#41	1	2	yes	—
562	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
563	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
564	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
565	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
566	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#555	C₂²×C₁₃	1	2	yes	—
568	#554	C₂²×C₁₃	1	2	yes	complemented
569	#552	—	2	1	no	—
570	#551	—	2	2	no	—
571	#551	—	2	2	no	—
572	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
573	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
574	#548	—	2	1	no	—
575	#548	—	2	1	no	—
576	#547	C₂²×C₁₃	1	1	yes	characteristic
577	#547	C₂²×C₁₃	1	1	yes	characteristic
578	#546	—	2	1	no	—
579	#546	C₂²×C₁₃	1	2	yes	—
580	#546	C₂²×C₁₃	1	2	yes	complemented
581	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	#542	C₂²×C₁₃	1	2	yes	complemented
583	#542	C₂²×C₁₃	1	2	yes	complemented
584	#539	—	2	2	no	—
585	#538	—	2	2	no	—
586	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
587	#532	C₂²×C₁₃	1	1	yes	characteristic
588	#529	—	2	1	no	—
589	#529	C₂²×C₁₃	1	1	yes	characteristic
590	C₂×#124	—	2	1	no	—
591	#525	—	2	1	no	—
592	C₂×C₂²⋊Q₈	—	2	1	no	—
593	#520	C₂²×C₁₃	1	2	yes	complemented
594	#518	C₂²×C₁₃	1	2	yes	complemented
595	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
596	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
598	#500	C₂²×C₁₃	1	2	yes	complemented
599	#495	C₂²×C₁₃	1	2	yes	complemented
600	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#489	C₂²×C₁₃	1	2	yes	complemented
602	#489	C₂²×C₁₃	1	2	yes	complemented
603	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
605	#485	C₂²×C₁₃	1	2	yes	complemented
606	#485	C₂²×C₁₃	1	2	yes	complemented
607	#484	C₂²×C₁₃	1	2	yes	complemented
608	#482	C₂²×C₁₃	1	2	yes	complemented
609	#480	C₂²×C₁₃	1	2	yes	complemented
610	#480	C₂²×C₁₃	1	2	yes	complemented
611	#477	C₂²×C₁₃	1	2	yes	complemented
612	#476	C₂²×C₁₃	1	2	yes	complemented
613	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#474	C₂²×C₁₃	1	2	yes	complemented
618	#474	C₂²×C₁₃	1	2	yes	complemented
619	#468	C₂²×C₁₃	1	2	yes	complemented
620	#468	C₂²×C₁₃	1	2	yes	complemented
621	#468	C₂²×C₁₃	1	2	yes	complemented
622	#468	C₂²×C₁₃	1	2	yes	complemented
623	#467	C₂²×C₁₃	1	2	yes	complemented
624	#466	C₂²×C₁₃	1	2	yes	—
625	#464	C₂²×C₁₃	1	2	yes	complemented
626	#463	C₂²×C₁₃	1	2	yes	—
627	#463	C₂²×C₁₃	1	2	yes	complemented
628	#463	C₂²×C₁₃	1	2	yes	complemented
629	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#459	C₂²×C₁₃	1	1	yes	characteristic
632	#459	C₂²×C₁₃	1	1	yes	characteristic
633	#452	C₂²×C₁₃	1	2	yes	—
634	#452	C₂²×C₁₃	1	2	yes	complemented
635	#450	C₂²×C₁₃	1	2	yes	complemented
636	#449	C₂²×C₁₃	1	2	yes	—
637	#447	C₂²×C₁₃	1	2	yes	—
638	#447	C₂²×C₁₃	1	2	yes	complemented
639	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#442	C₂²×C₁₃	1	1	yes	characteristic
642	#442	C₂²×C₁₃	1	1	yes	characteristic
643	#442	C₂²×C₁₃	1	2	yes	complemented
644	#440	C₂²×C₁₃	1	2	yes	complemented
645	#440	C₂²×C₁₃	1	2	yes	complemented
646	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#440	C₂²×C₁₃	1	2	yes	complemented
649	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
650	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
652	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
653	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
655	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
656	C₄×D₈	C₂²×C₁₃	1	2	yes	—
657	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
658	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
659	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#436	C₂²×C₁₃	1	2	yes	complemented
661	#435	C₂²×C₁₃	1	2	yes	complemented
662	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	#433	C₂²×C₁₃	1	2	yes	complemented
664	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	#428	C₂²×C₁₃	1	2	yes	complemented
666	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	#417	C₂²×C₁₃	1	1	yes	characteristic
669	#416	C₂²×C₁₃	1	2	yes	complemented
670	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
671	#405	C₂²×C₁₃	1	2	yes	complemented
672	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	2	no	—
675	C₂²×C₁₃	—	2	1	no	—
676	C₂²×C₁₃	—	2	2	no	—
677	C₂²×C₁₃	—	2	2	no	—
678	C₂²×C₁₃	—	2	2	no	—
679	C₂²×C₁₃	—	2	1	no	—
680	C₂²×C₁₃	—	2	2	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	1	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	1	no	—
685	C₂²×C₁₃	—	4	2	no	—
686	C₂²×C₁₃	—	4	1	no	—
687	C₂²×C₁₃	—	4	1	no	—
688	C₂²×C₁₃	—	4	2	no	—
689	C₂²×C₁₃	—	4	1	no	—
690	C₂²×C₁₃	—	4	2	no	—
691	C₂²×C₁₃	—	8	4	no	—
692	C₂²×C₁₃	—	16	4	no	—
693	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
694	C₄×C₁₃	—	2	1	no	—
695	C₄×C₁₃	—	2	1	no	—
696	C₄×C₁₃	—	2	2	no	—
697	C₄×C₁₃	—	2	2	no	—
698	C₄×C₁₃	—	2	1	no	—
699	C₄×C₁₃	—	2	1	no	—
700	C₄×C₁₃	—	2	2	no	—
701	C₄×C₁₃	—	4	1	no	—
702	C₄×C₁₃	—	4	1	no	—
703	C₄×C₁₃	—	4	2	no	—
704	C₄×C₁₃	—	4	1	no	—
705	C₄×C₁₃	—	4	1	no	—
706	C₄×C₁₃	—	4	1	no	—
707	C₄×C₁₃	—	4	2	no	—
708	C₄×C₁₃	—	4	2	no	—
709	C₄×C₁₃	#576	1	2	yes	—
710	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
711	C₄×C₁₃	#585	1	1	yes	characteristic
712	C₂×#41	—	2	1	no	—
713	C₂×#41	—	2	1	no	—
714	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
715	C₂×#41	C₂³×C₁₃	1	2	yes	—
716	C₂²×Q₈	—	2	1	no	—
717	C₂²×Q₈	—	2	1	no	—
718	C₂²×D₄	—	2	1	no	—
719	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
720	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
721	C₂³×C₄	—	2	1	no	—
722	AGL(1,ℤ/8)	—	2	4	no	—
723	AGL(1,ℤ/8)	—	2	8	no	—
724	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
725	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
726	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
727	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
730	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×D₈	C₂³×C₁₃	1	2	yes	—
732	C₂×D₈	C₂³×C₁₃	1	2	yes	—
733	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
734	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
735	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
736	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
737	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
738	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
739	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
740	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
741	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
742	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
743	#127	C₂³×C₁₃	1	1	yes	characteristic
744	#126	—	2	2	no	—
745	#126	—	2	2	no	—
746	#126	—	2	2	no	—
747	#126	—	2	2	no	—
748	#126	D₄×C₁₃	1	2	yes	—
749	#125	—	2	2	no	—
750	#125	—	2	1	no	—
751	#125	D₄×C₁₃	1	1	yes	characteristic
752	#124	—	2	1	no	—
753	#124	—	2	1	no	—
754	#124	—	2	2	no	—
755	#124	—	2	2	no	—
756	#124	—	2	2	no	—
757	#124	—	2	2	no	—
758	#124	—	2	1	no	—
759	#124	D₄×C₁₃	1	1	yes	characteristic
760	#124	C₂³×C₁₃	1	2	yes	—
761	#124	C₂³×C₁₃	1	2	yes	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	D₄×C₁₃	1	2	yes	—
770	C₂²⋊Q₈	—	2	1	no	—
771	C₂²⋊Q₈	—	2	1	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	1	no	—
774	C₂²⋊Q₈	—	2	1	no	—
775	C₂²⋊Q₈	—	2	1	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
782	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
783	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
784	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
785	#121	—	2	1	no	—
786	#121	—	2	2	no	—
787	#121	—	2	1	no	—
788	#121	—	2	1	no	—
789	#121	—	2	2	no	—
790	#121	—	2	2	no	—
791	#121	D₄×C₁₃	1	1	yes	characteristic
792	#121	C₂³×C₁₃	1	2	yes	—
793	#121	C₂³×C₁₃	1	2	yes	—
794	#121	C₂³×C₁₃	1	2	yes	—
795	#120	—	2	2	no	—
796	#120	—	2	2	no	—
797	#120	—	2	2	no	—
798	C₄×Q₈	—	2	1	no	—
799	C₄×Q₈	—	2	1	no	—
800	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
801	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
802	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
803	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
804	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	2	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
817	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
818	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
819	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
821	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
822	C₄×D₄	C₂³×C₁₃	1	2	yes	—
823	C₄×D₄	C₂³×C₁₃	1	2	yes	—
824	C₄×D₄	C₂³×C₁₃	1	2	yes	—
825	C₄×D₄	C₂³×C₁₃	1	2	yes	—
826	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
827	C₄×D₄	C₂³×C₁₃	1	2	yes	—
828	#117	—	2	1	no	—
829	#117	—	2	2	no	—
830	#117	—	2	1	no	—
831	#117	—	2	2	no	—
832	#117	—	2	1	no	—
833	#117	C₂³×C₁₃	1	1	yes	characteristic
834	#117	C₂³×C₁₃	1	2	yes	—
835	#117	C₂³×C₁₃	1	2	yes	—
836	C₂×C₄⋊C₄	—	2	2	no	—
837	C₂×C₄⋊C₄	—	2	1	no	—
838	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
840	C₂×C₂²⋊C₄	—	2	1	no	—
841	C₂×C₂²⋊C₄	—	2	2	no	—
842	C₂×C₂²⋊C₄	—	2	2	no	—
843	C₂×C₂²⋊C₄	—	2	2	no	—
844	C₂×C₂²⋊C₄	—	2	2	no	—
845	C₂×C₄²	—	2	1	no	—
846	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
847	#107	C₂³×C₁₃	1	1	yes	characteristic
848	#107	C₂³×C₁₃	1	2	yes	—
849	#107	C₂³×C₁₃	1	1	yes	characteristic
850	#107	C₂³×C₁₃	1	2	yes	—
851	#107	C₂³×C₁₃	1	2	yes	—
852	#107	C₂³×C₁₃	1	2	yes	—
853	#107	C₂³×C₁₃	1	2	yes	—
854	#106	C₂³×C₁₃	1	1	yes	characteristic
855	#106	C₂³×C₁₃	1	1	yes	characteristic
856	#106	C₂³×C₁₃	1	2	yes	—
857	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
859	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
860	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	2	yes	—
862	#103	C₂³×C₁₃	1	2	yes	—
863	#103	C₂³×C₁₃	1	1	yes	characteristic
864	#103	C₂³×C₁₃	1	1	yes	characteristic
865	#103	C₂³×C₁₃	1	2	yes	—
866	#103	C₂³×C₁₃	1	2	yes	—
867	#103	C₂³×C₁₃	1	2	yes	—
868	#102	C₂³×C₁₃	1	1	yes	characteristic
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	2	yes	—
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	1	yes	characteristic
873	#102	C₂³×C₁₃	1	2	yes	—
874	#102	C₂³×C₁₃	1	1	yes	characteristic
875	#102	C₂³×C₁₃	1	1	yes	characteristic
876	#102	C₂³×C₁₃	1	1	yes	characteristic
877	#102	C₂³×C₁₃	1	1	yes	characteristic
878	#102	C₂³×C₁₃	1	2	yes	—
879	#102	C₂³×C₁₃	1	2	yes	—
880	#102	C₂³×C₁₃	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
882	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
883	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
884	#97	C₂³×C₁₃	1	1	yes	characteristic
885	#97	C₂³×C₁₃	1	1	yes	characteristic
886	#97	C₂³×C₁₃	1	2	yes	—
887	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
888	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
889	C₄×C₈	C₂³×C₁₃	1	2	yes	—
890	C₄×C₈	C₂³×C₁₃	1	2	yes	—
891	C₂×C₁₃	—	4	1	no	—
892	C₂×C₁₃	—	4	2	no	—
893	C₂×C₁₃	—	4	2	no	—
894	C₂×C₁₃	—	4	2	no	—
895	C₂×C₁₃	—	8	1	no	—
896	C₂×C₁₃	—	8	2	no	—
897	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
898	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
899	C₂×C₁₃	#3586	1	1	yes	characteristic
900	C₂⁴	—	2	1	no	—
901	C₂⁴	—	2	2	no	—
902	#41	—	2	4	no	—
903	#41	—	2	2	no	—
904	#41	—	4	2	no	—
905	#41	—	4	1	no	—
906	#41	—	8	2	no	—
907	#41	—	8	2	no	—
908	C₂×Q₈	—	2	1	no	—
909	C₂×Q₈	—	2	1	no	—
910	C₂×Q₈	—	2	2	no	—
911	C₂×Q₈	—	2	2	no	—
912	C₂×Q₈	—	8	2	no	—
913	C₂×Q₈	—	8	2	no	—
914	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
915	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	4	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	4	2	no	—
929	C₂×D₄	—	4	1	no	—
930	C₂×D₄	—	8	2	no	—
931	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
932	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
933	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
934	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
935	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	1	no	—
950	C₂²×C₄	—	2	1	no	—
951	C₂²×C₄	—	8	2	no	—
952	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
953	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
956	Q₁₆	—	4	2	no	—
957	SD₁₆	—	2	2	no	—
958	SD₁₆	—	2	4	no	—
959	SD₁₆	—	2	4	no	—
960	SD₁₆	—	2	2	no	—
961	SD₁₆	—	4	2	no	—
962	D₈	—	2	4	no	—
963	D₈	—	2	2	no	—
964	D₈	—	4	2	no	—
965	D₈	C₁₃×#41	1	4	yes	complemented
966	M₁₆	—	2	2	no	—
967	M₁₆	—	2	4	no	—
968	M₁₆	—	4	1	no	—
969	C₂×C₈	—	4	2	no	—
970	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
971	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
972	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
975	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
994	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
996	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1000	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1002	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
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	C₂×D₄×C₁₃	1	2	yes	—
1026	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1027	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1028	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1029	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	2	no	—
1034	C₄²	—	2	2	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1037	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1038	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1039	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₄²	C₂⁴×C₁₃	1	2	yes	—
1041	C₁₃	#61553	1	1	yes	characteristic, direct product factor, Sylow
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	1	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	4	2	no	—
1047	C₂³	—	4	4	no	—
1048	C₂³	—	4	2	no	—
1049	C₂³	—	8	1	no	—
1050	C₂³	—	8	2	no	—
1051	C₂³	—	8	2	no	—
1052	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1053	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1054	Q₈	—	2	2	no	—
1055	Q₈	—	2	1	no	—
1056	Q₈	—	2	2	no	—
1057	Q₈	—	2	2	no	—
1058	Q₈	—	2	1	no	—
1059	Q₈	—	4	2	no	—
1060	Q₈	—	4	2	no	—
1061	Q₈	—	8	2	no	—
1062	Q₈	—	8	2	no	—
1063	D₄	—	2	2	no	—
1064	D₄	—	2	1	no	—
1065	D₄	—	2	2	no	—
1066	D₄	—	2	1	no	—
1067	D₄	—	2	1	no	—
1068	D₄	—	2	1	no	—
1069	D₄	—	2	2	no	—
1070	D₄	—	4	2	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	4	no	—
1073	D₄	—	4	4	no	—
1074	D₄	—	4	2	no	—
1075	D₄	—	4	2	no	—
1076	D₄	—	8	1	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	2	no	—
1080	D₄	C₂×C₁₃×#41	1	2	yes	—
1081	D₄	C₂×C₁₃×#41	1	2	yes	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	4	1	no	—
1096	C₂×C₄	—	4	4	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	2	no	—
1100	C₂×C₄	—	4	2	no	—
1101	C₂×C₄	—	8	1	no	—
1102	C₂×C₄	—	8	1	no	—
1103	C₂×C₄	—	8	1	no	—
1104	C₂×C₄	—	8	2	no	—
1105	C₂×C₄	—	8	2	no	—
1106	C₂×C₄	—	8	2	no	—
1107	C₂×C₄	—	8	2	no	—
1108	C₂×C₄	—	8	1	no	—
1109	C₂×C₄	—	8	2	no	—
1110	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1111	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1112	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1113	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1114	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1115	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1116	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1117	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1118	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1119	C₈	—	2	1	no	—
1120	C₈	—	2	2	no	—
1121	C₈	—	2	1	no	—
1122	C₈	—	2	2	no	—
1123	C₈	—	2	1	no	—
1124	C₈	C₂×C₁₃×#41	1	2	yes	—
1125	C₂²	—	2	1	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	2	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	1	no	—
1137	C₂²	—	4	1	no	—
1138	C₂²	—	4	2	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	1	no	—
1142	C₂²	—	4	2	no	—
1143	C₂²	—	8	4	no	—
1144	C₂²	—	16	4	no	—
1145	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1146	C₄	—	2	1	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	2	1	no	—
1149	C₄	—	2	1	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	2	2	no	—
1152	C₄	—	2	1	no	—
1153	C₄	—	4	1	no	—
1154	C₄	—	4	1	no	—
1155	C₄	—	4	1	no	—
1156	C₄	—	4	2	no	—
1157	C₄	—	4	2	no	—
1158	C₄	—	4	1	no	—
1159	C₄	—	4	1	no	—
1160	C₄	—	4	2	no	—
1161	C₄	C₁₃×#576	1	2	yes	—
1162	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1163	C₄	C₁₃×#585	1	1	yes	characteristic
1164	C₂	—	4	1	no	—
1165	C₂	—	4	2	no	—
1166	C₂	—	4	2	no	—
1167	C₂	—	4	2	no	—
1168	C₂	—	8	1	no	—
1169	C₂	—	8	2	no	—
1170	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1171	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1172	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×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3520	C₂	semidirect
2. C₁₃×#3514	C₂	semidirect
3. C₁₃×#3394	C₂	semidirect
4. Q₈×C₁₃×D₈	C₂	semidirect
5. C₁₃×#3373	C₂	semidirect
6. C₁₃×#3367	C₂	semidirect
7. C₁₃×#3357	C₂	semidirect
8. C₁₃×#3353	C₂	semidirect
9. C₁₃×#3319	C₂	semidirect
10. C₁₃×#3314	C₂	semidirect
11. C₁₃×#3302	C₂	semidirect
12. C₁₃×#3294	C₂	semidirect
13. C₁₃×#3273	C₂	semidirect
14. C₁₃×#3272	C₂	semidirect
15. C₁₃×#3182	C₂	semidirect
16. C₁₃×#3175	C₂	semidirect
17. C₁₃×#3124	C₂	semidirect
18. C₁₃×#3118	C₂	semidirect
19. C₁₃×#3107	C₂	semidirect
20. C₁₃×#3100	C₂	semidirect
21. C₁₃×#2969	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
26. C₁₃×#559	C₂²	semidirect
27. C₁₃×#556	C₂²	semidirect
28. C₁₃×#556	C₂²	semidirect
30. C₁₃×#554	C₂²	semidirect
34. D₄×Q₈×C₁₃	C₂²	semidirect
35. D₄×Q₈×C₁₃	C₂²	semidirect
42. C₁₃×#546	C₂²	semidirect
43. D₄²×C₁₃	C₂²	semidirect
44. C₁₃×#542	C₂²	semidirect
45. C₁₃×#542	C₂²	semidirect
48. C₁₃×#533	C₂²	semidirect
55. C₁₃×#520	C₂²	semidirect
56. C₁₃×#518	C₂²	semidirect
58. C₂×C₄×D₄×C₁₃	C₂²	semidirect
59. C₁₃×#500	C₂²	semidirect
60. C₁₃×#500	C₂²	semidirect
61. C₁₃×#495	C₂²	semidirect
62. C₁₃×#492	C₂²	semidirect
63. C₁₃×#489	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
69. C₁₃×#484	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#480	C₂²	semidirect
72. C₁₃×#480	C₂²	semidirect
73. C₁₃×#477	C₂²	semidirect
74. C₁₃×#476	C₂²	semidirect
75. C₁₃×#475	C₂²	semidirect
76. C₁₃×#474	C₂²	semidirect
77. C₁₃×#474	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
79. C₁₃×#474	C₂²	semidirect
80. C₁₃×#474	C₂²	semidirect
81. C₁₃×#468	C₂²	semidirect
82. C₁₃×#468	C₂²	semidirect
83. C₁₃×#468	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#467	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#462	C₂²	semidirect
92. C₁₃×#461	C₂²	semidirect
96. C₁₃×#452	C₂²	semidirect
97. C₁₃×#450	C₂²	semidirect
100. C₁₃×#447	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₈×Q₈×C₁₃	C₂²	semidirect
105. C₁₃×#442	C₂²	semidirect
106. C₁₃×#440	C₂²	semidirect
107. C₁₃×#440	C₂²	semidirect
108. C₁₃×#440	C₂²	semidirect
109. C₁₃×#440	C₂²	semidirect
110. C₁₃×#440	C₂²	semidirect
111. C₄×C₁₃×Q₁₆	C₂²	semidirect
112. C₄×C₁₃×SD₁₆	C₂²	semidirect
113. C₄×C₁₃×SD₁₆	C₂²	semidirect
114. C₄×C₁₃×SD₁₆	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
119. C₄×C₁₃×D₈	C₂²	semidirect
120. C₄×C₁₃×D₈	C₂²	semidirect
121. C₁₃×#436	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
124. C₈×D₄×C₁₃	C₂²	semidirect
125. C₁₃×#433	C₂²	semidirect
126. C₁₃×#431	C₂²	semidirect
127. C₁₃×#428	C₂²	semidirect
128. C₁₃×#428	C₂²	semidirect
129. C₁₃×#418	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
132. C₂×C₁₃×#102	C₂²	semidirect
133. C₁₃×#405	C₂²	semidirect
134. C₄×C₁₃×M₁₆	C₂²	semidirect
314. #61553	C₁₃	direct (N × H)
380. C₁₃×D₈	#41	semidirect
456. #3520	C₂×C₁₃	semidirect
457. #3514	C₂×C₁₃	semidirect
458. #3394	C₂×C₁₃	semidirect
459. Q₈×D₈	C₂×C₁₃	semidirect
460. #3373	C₂×C₁₃	semidirect
461. #3367	C₂×C₁₃	semidirect
462. #3357	C₂×C₁₃	semidirect
463. #3353	C₂×C₁₃	semidirect
464. #3319	C₂×C₁₃	semidirect
465. #3314	C₂×C₁₃	semidirect
466. #3302	C₂×C₁₃	semidirect
467. #3294	C₂×C₁₃	semidirect
468. #3273	C₂×C₁₃	semidirect
469. #3272	C₂×C₁₃	semidirect
470. #3182	C₂×C₁₃	semidirect
471. #3175	C₂×C₁₃	semidirect
472. #3124	C₂×C₁₃	semidirect
473. #3118	C₂×C₁₃	semidirect
474. #3107	C₂×C₁₃	semidirect
475. #3100	C₂×C₁₃	semidirect
476. #2969	C₂×C₁₃	semidirect
477. #2946	C₂×C₁₃	semidirect
478. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
564. #559	C₂²×C₁₃	semidirect
565. #556	C₂²×C₁₃	semidirect
566. #556	C₂²×C₁₃	semidirect
568. #554	C₂²×C₁₃	semidirect
572. D₄×Q₈	C₂²×C₁₃	semidirect
573. D₄×Q₈	C₂²×C₁₃	semidirect
580. #546	C₂²×C₁₃	semidirect
581. D₄²	C₂²×C₁₃	semidirect
582. #542	C₂²×C₁₃	semidirect
583. #542	C₂²×C₁₃	semidirect
586. #533	C₂²×C₁₃	semidirect
593. #520	C₂²×C₁₃	semidirect
594. #518	C₂²×C₁₃	semidirect
596. C₂×C₄×D₄	C₂²×C₁₃	semidirect
597. #500	C₂²×C₁₃	semidirect
598. #500	C₂²×C₁₃	semidirect
599. #495	C₂²×C₁₃	semidirect
600. #492	C₂²×C₁₃	semidirect
601. #489	C₂²×C₁₃	semidirect
602. #489	C₂²×C₁₃	semidirect
603. #487	C₂²×C₁₃	semidirect
604. #486	C₂²×C₁₃	semidirect
605. #485	C₂²×C₁₃	semidirect
606. #485	C₂²×C₁₃	semidirect
607. #484	C₂²×C₁₃	semidirect
608. #482	C₂²×C₁₃	semidirect
609. #480	C₂²×C₁₃	semidirect
610. #480	C₂²×C₁₃	semidirect
611. #477	C₂²×C₁₃	semidirect
612. #476	C₂²×C₁₃	semidirect
613. #475	C₂²×C₁₃	semidirect
614. #474	C₂²×C₁₃	semidirect
615. #474	C₂²×C₁₃	semidirect
616. #474	C₂²×C₁₃	semidirect
617. #474	C₂²×C₁₃	semidirect
618. #474	C₂²×C₁₃	semidirect
619. #468	C₂²×C₁₃	semidirect
620. #468	C₂²×C₁₃	semidirect
621. #468	C₂²×C₁₃	semidirect
622. #468	C₂²×C₁₃	semidirect
623. #467	C₂²×C₁₃	semidirect
625. #464	C₂²×C₁₃	semidirect
627. #463	C₂²×C₁₃	semidirect
628. #463	C₂²×C₁₃	semidirect
629. #462	C₂²×C₁₃	semidirect
630. #461	C₂²×C₁₃	semidirect
634. #452	C₂²×C₁₃	semidirect
635. #450	C₂²×C₁₃	semidirect
638. #447	C₂²×C₁₃	semidirect
639. #446	C₂²×C₁₃	semidirect
640. C₈×Q₈	C₂²×C₁₃	semidirect
643. #442	C₂²×C₁₃	semidirect
644. #440	C₂²×C₁₃	semidirect
645. #440	C₂²×C₁₃	semidirect
646. #440	C₂²×C₁₃	semidirect
647. #440	C₂²×C₁₃	semidirect
648. #440	C₂²×C₁₃	semidirect
649. C₄×Q₁₆	C₂²×C₁₃	semidirect
650. C₄×SD₁₆	C₂²×C₁₃	semidirect
651. C₄×SD₁₆	C₂²×C₁₃	semidirect
652. C₄×SD₁₆	C₂²×C₁₃	semidirect
653. C₄×SD₁₆	C₂²×C₁₃	semidirect
657. C₄×D₈	C₂²×C₁₃	semidirect
658. C₄×D₈	C₂²×C₁₃	semidirect
659. #436	C₂²×C₁₃	semidirect
660. #436	C₂²×C₁₃	semidirect
661. #435	C₂²×C₁₃	semidirect
662. C₈×D₄	C₂²×C₁₃	semidirect
663. #433	C₂²×C₁₃	semidirect
664. #431	C₂²×C₁₃	semidirect
665. #428	C₂²×C₁₃	semidirect
666. #428	C₂²×C₁₃	semidirect
667. #418	C₂²×C₁₃	semidirect
669. #416	C₂²×C₁₃	semidirect
670. C₂×#102	C₂²×C₁₃	semidirect
671. #405	C₂²×C₁₃	semidirect
672. C₄×M₁₆	C₂²×C₁₃	semidirect
965. D₈	C₁₃×#41	semidirect
1041. C₁₃	#61553	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×#3520	2
C₁₃×#3514	2
C₁₃×#3394	2
Q₈×C₁₃×D₈	2
C₁₃×#3373	2
C₁₃×#3367	2
C₁₃×#3357	2
C₁₃×#3353	2
C₁₃×#3319	2
C₁₃×#3314	2
C₁₃×#3302	2
C₁₃×#3294	2
C₁₃×#3273	2
C₁₃×#3272	2
C₁₃×#3182	2
C₁₃×#3175	2
C₁₃×#3124	2
C₁₃×#3118	2
C₁₃×#3107	2
C₁₃×#3100	2
C₁₃×#2969	2
C₁₃×#2946	2
C₄×C₁₃×AGL(1,ℤ/8)	2
#61553	13

Subgroups — C13×#61553 #15747892

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61553 #15747892