Subgroups — C₁₃×#61439 #15747778

Order 3328.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1202 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3386	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3353	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3345	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3324	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3171	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3169	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3106	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3105	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	—	2	1	no	—
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
26	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
27	C₁₃×#559	—	2	1	no	—
28	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#556	—	2	1	no	—
31	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#553	—	2	2	no	—
33	C₁₃×#553	C₂²	1	2	yes	complemented
34	C₁₃×#550	C₂²	1	1	yes	characteristic
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#548	C₂²	1	2	yes	complemented
39	C₁₃×#547	C₂²	1	2	yes	—
40	C₁₃×#547	C₂²	1	1	yes	characteristic
41	C₁₃×#546	—	2	2	no	—
42	C₁₃×#546	—	2	1	no	—
43	D₄²×C₁₃	C₂²	1	2	yes	—
44	D₄²×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#532	—	2	1	no	—
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	2	yes	—
48	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	—	2	2	no	—
50	C₁₃×#529	C₂²	1	2	yes	complemented
51	C₁₃×#525	—	2	1	no	—
52	C₁₃×#525	—	2	2	no	—
53	C₄×C₁₃×#41	—	2	1	no	—
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
56	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
59	C₁₃×#501	C₂²	1	2	yes	complemented
60	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#496	C₂²	1	2	yes	complemented
62	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#490	C₂²	1	2	yes	complemented
64	C₁₃×#489	C₂²	1	2	yes	complemented
65	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#484	C₂²	1	2	yes	complemented
68	C₁₃×#482	C₂²	1	2	yes	complemented
69	C₁₃×#482	C₂²	1	2	yes	complemented
70	C₁₃×#481	C₂²	1	2	yes	complemented
71	C₁₃×#481	C₂²	1	2	yes	complemented
72	C₁₃×#480	C₂²	1	2	yes	complemented
73	C₁₃×#478	C₂²	1	2	yes	—
74	C₁₃×#478	C₂²	1	2	yes	complemented
75	C₁₃×#477	C₂²	1	2	yes	complemented
76	C₁₃×#476	C₂²	1	2	yes	complemented
77	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#474	C₂²	1	1	yes	characteristic
80	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#469	C₂²	1	2	yes	complemented
82	C₁₃×#469	C₂²	1	2	yes	complemented
83	C₁₃×#468	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#466	C₂²	1	2	yes	complemented
86	C₁₃×#466	C₂²	1	2	yes	complemented
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#460	C₂²	1	2	yes	complemented
90	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#459	C₂²	1	1	yes	characteristic
93	C₁₃×#459	C₂²	1	2	yes	complemented
94	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#450	C₂²	1	2	yes	—
96	C₁₃×#449	C₂²	1	2	yes	complemented
97	C₁₃×#449	C₂²	1	2	yes	complemented
98	C₁₃×#448	C₂²	1	2	yes	complemented
99	C₁₃×#447	C₂²	1	2	yes	—
100	C₁₃×#447	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#442	C₂²	1	2	yes	—
104	C₁₃×#442	C₂²	1	2	yes	complemented
105	C₁₃×#440	C₂²	1	2	yes	—
106	C₁₃×#440	C₂²	1	2	yes	complemented
107	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
108	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
109	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
110	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
111	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₁₃×D₈	C₂²	1	2	yes	—
118	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
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	1	yes	characteristic, complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#431	C₂²	1	2	yes	complemented
127	C₁₃×#428	C₂²	1	2	yes	complemented
128	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#418	C₂²	1	2	yes	—
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
133	C₄×C₁₃×M₁₆	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	2	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	2	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	4	8	no	—
142	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂²×Q₈×C₁₃	—	2	1	no	—
145	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃	—	2	2	no	—
147	C₂²×D₄×C₁₃	—	2	1	no	—
148	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
150	C₂³×C₄×C₁₃	—	2	2	no	—
151	C₂³×C₄×C₁₃	—	2	1	no	—
152	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
153	C₂×C₁₃×SD₁₆	—	2	4	no	—
154	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×D₈	C₂³	1	2	yes	—
161	C₂×C₁₃×D₈	C₂³	1	2	yes	—
162	C₂×C₁₃×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×D₈	C₂³	1	2	yes	—
164	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
165	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
166	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
167	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
168	C₁₃×C₄⋊Q₈	—	2	1	no	—
169	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₁₃×#127	—	2	1	no	—
173	C₁₃×#127	C₂³	1	1	yes	characteristic
174	C₁₃×#127	C₂³	1	2	yes	—
175	C₁₃×#127	C₂³	1	1	yes	characteristic
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#126	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	C₂³	1	2	yes	—
181	C₁₃×#124	—	2	1	no	—
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	C₂³	1	2	yes	—
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	—	2	2	no	—
193	C₁₃×#123	—	2	2	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	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	1	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	—	2	1	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	C₂³	1	2	yes	—
211	C₁₃×#121	C₂³	1	2	yes	—
212	C₁₃×#121	C₂³	1	2	yes	—
213	C₁₃×#121	C₂³	1	2	yes	—
214	C₁₃×#121	C₂³	1	2	yes	—
215	C₁₃×#120	—	2	2	no	—
216	C₁₃×#120	—	2	2	no	—
217	C₁₃×#120	—	2	2	no	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	1	no	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	1	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	2	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	D₄	1	2	yes	—
244	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	1	yes	characteristic
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	—	2	2	no	—
257	C₁₃×#117	—	2	2	no	—
258	C₁₃×#117	D₄	1	1	yes	characteristic
259	C₁₃×#117	D₄	1	2	yes	—
260	C₁₃×#117	C₂³	1	2	yes	—
261	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	—	2	2	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	1	yes	characteristic
276	C₁₃×#106	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
293	C₁₃×#102	C₂³	1	1	yes	characteristic
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
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	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#61439	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	2	no	—
317	C₂⁴×C₁₃	—	2	1	no	—
318	C₁₃×#41	—	2	4	no	—
319	C₁₃×#41	—	2	4	no	—
320	C₁₃×#41	—	4	2	no	—
321	C₁₃×#41	—	4	8	no	—
322	C₁₃×#41	—	4	8	no	—
323	C₁₃×#41	—	4	4	no	—
324	C₁₃×#41	—	4	4	no	—
325	C₁₃×#41	—	4	4	no	—
326	C₁₃×#41	—	4	4	no	—
327	C₂×Q₈×C₁₃	—	2	1	no	—
328	C₂×Q₈×C₁₃	—	2	1	no	—
329	C₂×Q₈×C₁₃	—	2	2	no	—
330	C₂×Q₈×C₁₃	—	2	1	no	—
331	C₂×Q₈×C₁₃	—	2	2	no	—
332	C₂×Q₈×C₁₃	—	4	1	no	—
333	C₂×Q₈×C₁₃	—	4	4	no	—
334	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	4	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	2	no	—
346	C₂×D₄×C₁₃	—	2	1	no	—
347	C₂×D₄×C₁₃	—	2	1	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	1	no	—
352	C₂×D₄×C₁₃	—	2	1	no	—
353	C₂×D₄×C₁₃	—	4	1	no	—
354	C₂×D₄×C₁₃	—	4	2	no	—
355	C₂×D₄×C₁₃	—	4	8	no	—
356	C₂×D₄×C₁₃	—	4	4	no	—
357	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
358	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
360	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
361	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
369	C₂²×C₄×C₁₃	—	2	1	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	1	no	—
372	C₂²×C₄×C₁₃	—	2	2	no	—
373	C₂²×C₄×C₁₃	—	2	1	no	—
374	C₂²×C₄×C₁₃	—	2	2	no	—
375	C₂²×C₄×C₁₃	—	2	1	no	—
376	C₂²×C₄×C₁₃	—	2	2	no	—
377	C₂²×C₄×C₁₃	—	4	8	no	—
378	C₂²×C₄×C₁₃	—	4	4	no	—
379	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
380	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
382	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
385	C₁₃×SD₁₆	—	2	2	no	—
386	C₁₃×SD₁₆	—	2	4	no	—
387	C₁₃×SD₁₆	—	2	2	no	—
388	C₁₃×SD₁₆	—	2	2	no	—
389	C₁₃×SD₁₆	—	4	2	no	—
390	C₁₃×SD₁₆	#41	1	4	yes	complemented
391	C₁₃×D₈	—	2	4	no	—
392	C₁₃×D₈	—	2	4	no	—
393	C₁₃×D₈	—	4	2	no	—
394	C₁₃×D₈	—	4	2	no	—
395	C₁₃×M₁₆	—	2	4	no	—
396	C₁₃×M₁₆	—	4	2	no	—
397	C₂×C₈×C₁₃	—	2	2	no	—
398	C₂×C₈×C₁₃	—	4	1	no	—
399	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
404	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
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	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	C₂×D₄	1	1	yes	characteristic
420	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
425	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
426	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
428	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
429	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	1	no	—
436	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
447	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
448	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
449	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
450	C₄²×C₁₃	—	2	2	no	—
451	C₄²×C₁₃	—	2	2	no	—
452	C₄²×C₁₃	—	2	1	no	—
453	C₄²×C₁₃	—	2	1	no	—
454	C₄²×C₁₃	—	2	1	no	—
455	C₄²×C₁₃	—	2	1	no	—
456	C₄²×C₁₃	C₂×D₄	1	2	yes	—
457	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₁₃	C₂×D₄	1	2	yes	—
459	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
460	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
461	C₄²×C₁₃	C₂⁴	1	2	yes	—
462	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
463	#3480	C₂×C₁₃	1	1	yes	characteristic, complemented
464	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3386	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3353	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3345	C₂×C₁₃	1	2	yes	complemented
471	#3332	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3324	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3318	C₂×C₁₃	1	2	yes	complemented
474	#3308	C₂×C₁₃	1	2	yes	complemented
475	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3265	C₂×C₁₃	1	2	yes	complemented
477	#3171	C₂×C₁₃	1	2	yes	complemented
478	#3169	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3106	C₂×C₁₃	1	2	yes	complemented
480	#3105	C₂×C₁₃	1	2	yes	complemented
481	#3103	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#2965	C₂×C₁₃	1	1	yes	characteristic, complemented
484	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	2	yes	complemented
485	C₂×C₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
486	C₂³×C₁₃	—	2	1	no	—
487	C₂³×C₁₃	—	2	2	no	—
488	C₂³×C₁₃	—	2	2	no	—
489	C₂³×C₁₃	—	2	1	no	—
490	C₂³×C₁₃	—	4	2	no	—
491	C₂³×C₁₃	—	4	4	no	—
492	C₂³×C₁₃	—	4	4	no	—
493	C₂³×C₁₃	—	4	2	no	—
494	C₂³×C₁₃	—	8	1	no	—
495	C₂³×C₁₃	—	8	2	no	—
496	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
497	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
498	Q₈×C₁₃	—	2	2	no	—
499	Q₈×C₁₃	—	2	1	no	—
500	Q₈×C₁₃	—	2	1	no	—
501	Q₈×C₁₃	—	2	1	no	—
502	Q₈×C₁₃	—	4	2	no	—
503	Q₈×C₁₃	—	4	4	no	—
504	Q₈×C₁₃	—	4	2	no	—
505	Q₈×C₁₃	—	4	2	no	—
506	Q₈×C₁₃	C₂×#41	1	2	yes	complemented
507	D₄×C₁₃	—	2	4	no	—
508	D₄×C₁₃	—	2	2	no	—
509	D₄×C₁₃	—	2	2	no	—
510	D₄×C₁₃	—	2	2	no	—
511	D₄×C₁₃	—	2	1	no	—
512	D₄×C₁₃	—	2	1	no	—
513	D₄×C₁₃	—	2	1	no	—
514	D₄×C₁₃	—	2	2	no	—
515	D₄×C₁₃	—	2	2	no	—
516	D₄×C₁₃	—	4	4	no	—
517	D₄×C₁₃	—	4	2	no	—
518	D₄×C₁₃	—	4	4	no	—
519	D₄×C₁₃	—	4	4	no	—
520	D₄×C₁₃	—	4	4	no	—
521	D₄×C₁₃	—	4	4	no	—
522	D₄×C₁₃	—	4	4	no	—
523	D₄×C₁₃	—	4	4	no	—
524	D₄×C₁₃	—	4	2	no	—
525	D₄×C₁₃	—	4	2	no	—
526	D₄×C₁₃	—	8	2	no	—
527	D₄×C₁₃	—	8	1	no	—
528	D₄×C₁₃	—	8	1	no	—
529	D₄×C₁₃	—	8	2	no	—
530	D₄×C₁₃	C₂×#41	1	2	yes	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	2	4	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	2	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	2	no	—
537	C₂×C₄×C₁₃	—	2	1	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	—	2	2	no	—
543	C₂×C₄×C₁₃	—	2	1	no	—
544	C₂×C₄×C₁₃	—	4	2	no	—
545	C₂×C₄×C₁₃	—	4	1	no	—
546	C₂×C₄×C₁₃	—	4	4	no	—
547	C₂×C₄×C₁₃	—	4	2	no	—
548	C₂×C₄×C₁₃	—	4	4	no	—
549	C₂×C₄×C₁₃	—	4	4	no	—
550	C₂×C₄×C₁₃	—	4	4	no	—
551	C₂×C₄×C₁₃	—	4	2	no	—
552	C₂×C₄×C₁₃	—	4	2	no	—
553	C₂×C₄×C₁₃	—	4	2	no	—
554	C₂×C₄×C₁₃	—	4	2	no	—
555	C₂×C₄×C₁₃	—	4	4	no	—
556	C₂×C₄×C₁₃	—	4	2	no	—
557	C₂×C₄×C₁₃	—	4	4	no	—
558	C₂×C₄×C₁₃	—	8	2	no	—
559	C₂×C₄×C₁₃	—	8	1	no	—
560	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
561	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
562	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
563	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
564	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
570	C₈×C₁₃	—	2	1	no	—
571	C₈×C₁₃	—	2	2	no	—
572	C₈×C₁₃	—	2	1	no	—
573	C₈×C₁₃	—	2	1	no	—
574	C₈×C₁₃	—	2	2	no	—
575	C₈×C₁₃	C₂×#41	1	2	yes	complemented
576	C₂²×#41	—	2	1	no	—
577	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
578	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
579	#559	—	2	1	no	—
580	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
581	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	#556	—	2	1	no	—
583	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#553	—	2	2	no	—
585	#553	C₂²×C₁₃	1	2	yes	complemented
586	#550	C₂²×C₁₃	1	1	yes	characteristic
587	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
588	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
589	#548	—	2	1	no	—
590	#548	C₂²×C₁₃	1	2	yes	complemented
591	#547	C₂²×C₁₃	1	1	yes	characteristic
592	#547	C₂²×C₁₃	1	2	yes	—
593	#546	—	2	2	no	—
594	#546	—	2	1	no	—
595	D₄²	C₂²×C₁₃	1	2	yes	—
596	D₄²	C₂²×C₁₃	1	1	yes	characteristic
597	#532	—	2	1	no	—
598	#532	C₂²×C₁₃	1	1	yes	characteristic
599	#532	C₂²×C₁₃	1	2	yes	—
600	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#529	—	2	2	no	—
602	#529	C₂²×C₁₃	1	2	yes	complemented
603	#525	—	2	1	no	—
604	#525	—	2	2	no	—
605	C₄×#41	—	2	1	no	—
606	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
607	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
608	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
610	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
611	#501	C₂²×C₁₃	1	2	yes	complemented
612	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#496	C₂²×C₁₃	1	2	yes	complemented
614	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#490	C₂²×C₁₃	1	2	yes	complemented
616	#489	C₂²×C₁₃	1	2	yes	complemented
617	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#484	C₂²×C₁₃	1	2	yes	complemented
620	#482	C₂²×C₁₃	1	2	yes	complemented
621	#482	C₂²×C₁₃	1	2	yes	complemented
622	#481	C₂²×C₁₃	1	2	yes	complemented
623	#481	C₂²×C₁₃	1	2	yes	complemented
624	#480	C₂²×C₁₃	1	2	yes	complemented
625	#478	C₂²×C₁₃	1	2	yes	—
626	#478	C₂²×C₁₃	1	2	yes	complemented
627	#477	C₂²×C₁₃	1	2	yes	complemented
628	#476	C₂²×C₁₃	1	2	yes	complemented
629	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#474	C₂²×C₁₃	1	1	yes	characteristic
632	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#469	C₂²×C₁₃	1	2	yes	complemented
634	#469	C₂²×C₁₃	1	2	yes	complemented
635	#468	C₂²×C₁₃	1	2	yes	complemented
636	#468	C₂²×C₁₃	1	2	yes	complemented
637	#466	C₂²×C₁₃	1	2	yes	complemented
638	#466	C₂²×C₁₃	1	2	yes	complemented
639	#463	C₂²×C₁₃	1	2	yes	—
640	#463	C₂²×C₁₃	1	2	yes	complemented
641	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#460	C₂²×C₁₃	1	2	yes	complemented
644	#459	C₂²×C₁₃	1	1	yes	characteristic
645	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#459	C₂²×C₁₃	1	2	yes	complemented
647	#450	C₂²×C₁₃	1	2	yes	—
648	#449	C₂²×C₁₃	1	2	yes	complemented
649	#449	C₂²×C₁₃	1	2	yes	complemented
650	#448	C₂²×C₁₃	1	2	yes	complemented
651	#447	C₂²×C₁₃	1	2	yes	—
652	#447	C₂²×C₁₃	1	2	yes	—
653	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	#442	C₂²×C₁₃	1	2	yes	—
656	#442	C₂²×C₁₃	1	2	yes	complemented
657	#440	C₂²×C₁₃	1	2	yes	—
658	#440	C₂²×C₁₃	1	2	yes	complemented
659	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
660	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
661	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
662	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
663	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
666	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
667	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	C₄×D₈	C₂²×C₁₃	1	2	yes	—
670	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
671	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
672	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
673	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
674	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	#435	C₂²×C₁₃	1	2	yes	complemented
676	#435	C₂²×C₁₃	1	2	yes	complemented
677	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#431	C₂²×C₁₃	1	2	yes	complemented
679	#428	C₂²×C₁₃	1	2	yes	complemented
680	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#418	C₂²×C₁₃	1	2	yes	—
682	#417	C₂²×C₁₃	1	2	yes	complemented
683	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
685	C₄×M₁₆	C₂²×C₁₃	1	2	yes	complemented
686	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	C₂²×C₁₃	—	2	1	no	—
688	C₂²×C₁₃	—	2	1	no	—
689	C₂²×C₁₃	—	2	2	no	—
690	C₂²×C₁₃	—	2	2	no	—
691	C₂²×C₁₃	—	2	2	no	—
692	C₂²×C₁₃	—	2	2	no	—
693	C₂²×C₁₃	—	4	1	no	—
694	C₂²×C₁₃	—	4	1	no	—
695	C₂²×C₁₃	—	4	2	no	—
696	C₂²×C₁₃	—	4	1	no	—
697	C₂²×C₁₃	—	4	2	no	—
698	C₂²×C₁₃	—	4	2	no	—
699	C₂²×C₁₃	—	4	2	no	—
700	C₂²×C₁₃	—	4	1	no	—
701	C₂²×C₁₃	—	4	2	no	—
702	C₂²×C₁₃	—	4	1	no	—
703	C₂²×C₁₃	—	4	2	no	—
704	C₂²×C₁₃	—	8	4	no	—
705	C₂²×C₁₃	—	8	8	no	—
706	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
707	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
708	C₄×C₁₃	—	2	1	no	—
709	C₄×C₁₃	—	2	2	no	—
710	C₄×C₁₃	—	2	1	no	—
711	C₄×C₁₃	—	2	2	no	—
712	C₄×C₁₃	—	2	1	no	—
713	C₄×C₁₃	—	2	2	no	—
714	C₄×C₁₃	—	2	2	no	—
715	C₄×C₁₃	—	4	1	no	—
716	C₄×C₁₃	—	4	1	no	—
717	C₄×C₁₃	—	4	1	no	—
718	C₄×C₁₃	—	4	1	no	—
719	C₄×C₁₃	—	4	2	no	—
720	C₄×C₁₃	—	4	1	no	—
721	C₄×C₁₃	—	4	2	no	—
722	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
723	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
724	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
725	C₄×C₁₃	#585	1	1	yes	characteristic
726	C₂×#41	—	2	1	no	—
727	C₂×#41	—	2	2	no	—
728	C₂×#41	—	2	1	no	—
729	C₂×#41	—	2	1	no	—
730	C₂×#41	—	2	2	no	—
731	C₂×#41	—	2	1	no	—
732	C₂×#41	—	4	8	no	—
733	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
734	C₂×#41	C₂³×C₁₃	1	2	yes	—
735	C₂²×Q₈	—	2	1	no	—
736	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
737	C₂²×D₄	—	2	2	no	—
738	C₂²×D₄	—	2	1	no	—
739	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
740	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
741	C₂³×C₄	—	2	2	no	—
742	C₂³×C₄	—	2	1	no	—
743	AGL(1,ℤ/8)	—	2	8	no	—
744	C₂×SD₁₆	—	2	4	no	—
745	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
746	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
747	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
748	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
749	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
750	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
751	C₂×D₈	C₂³×C₁₃	1	2	yes	—
752	C₂×D₈	C₂³×C₁₃	1	2	yes	—
753	C₂×D₈	C₂³×C₁₃	1	2	yes	—
754	C₂×D₈	C₂³×C₁₃	1	2	yes	—
755	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
756	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
757	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
759	C₄⋊Q₈	—	2	1	no	—
760	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
761	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
762	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
763	#127	—	2	1	no	—
764	#127	C₂³×C₁₃	1	2	yes	—
765	#127	C₂³×C₁₃	1	1	yes	characteristic
766	#127	C₂³×C₁₃	1	1	yes	characteristic
767	#126	—	2	2	no	—
768	#126	—	2	2	no	—
769	#126	—	2	2	no	—
770	#125	—	2	2	no	—
771	#125	C₂³×C₁₃	1	2	yes	—
772	#124	—	2	1	no	—
773	#124	—	2	1	no	—
774	#124	—	2	2	no	—
775	#124	—	2	2	no	—
776	#124	—	2	1	no	—
777	#124	—	2	1	no	—
778	#124	C₂³×C₁₃	1	2	yes	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	#123	—	2	2	no	—
782	#123	—	2	2	no	—
783	#123	—	2	2	no	—
784	#123	—	2	2	no	—
785	C₂²⋊Q₈	—	2	1	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	2	2	no	—
789	C₂²⋊Q₈	—	2	2	no	—
790	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
791	#121	—	2	2	no	—
792	#121	—	2	2	no	—
793	#121	—	2	1	no	—
794	#121	—	2	2	no	—
795	#121	—	2	1	no	—
796	#121	—	2	1	no	—
797	#121	—	2	2	no	—
798	#121	—	2	1	no	—
799	#121	—	2	2	no	—
800	#121	—	2	2	no	—
801	#121	C₂³×C₁₃	1	2	yes	—
802	#121	C₂³×C₁₃	1	2	yes	—
803	#121	C₂³×C₁₃	1	2	yes	—
804	#121	C₂³×C₁₃	1	2	yes	—
805	#121	C₂³×C₁₃	1	2	yes	—
806	#120	—	2	2	no	—
807	#120	—	2	2	no	—
808	#120	—	2	2	no	—
809	C₄×Q₈	—	2	1	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	—	2	1	no	—
812	C₄×Q₈	—	2	1	no	—
813	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
814	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
815	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
816	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
817	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
818	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
819	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
820	C₄×D₄	—	2	2	no	—
821	C₄×D₄	—	2	2	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	2	no	—
826	C₄×D₄	—	2	2	no	—
827	C₄×D₄	—	2	2	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	2	no	—
830	C₄×D₄	—	2	1	no	—
831	C₄×D₄	—	2	2	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	D₄×C₁₃	1	2	yes	—
835	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
836	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
837	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
838	C₄×D₄	C₂³×C₁₃	1	2	yes	—
839	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
840	C₄×D₄	C₂³×C₁₃	1	2	yes	—
841	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
842	C₄×D₄	C₂³×C₁₃	1	2	yes	—
843	C₄×D₄	C₂³×C₁₃	1	2	yes	—
844	C₄×D₄	C₂³×C₁₃	1	2	yes	—
845	C₄×D₄	C₂³×C₁₃	1	2	yes	—
846	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
847	#117	—	2	2	no	—
848	#117	—	2	2	no	—
849	#117	D₄×C₁₃	1	1	yes	characteristic
850	#117	D₄×C₁₃	1	2	yes	—
851	#117	C₂³×C₁₃	1	2	yes	—
852	C₂×C₄⋊C₄	—	2	1	no	—
853	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
855	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
856	C₂×C₂²⋊C₄	—	2	1	no	—
857	C₂×C₂²⋊C₄	—	2	2	no	—
858	C₂×C₄²	—	2	1	no	—
859	C₂×C₄²	—	2	2	no	—
860	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
861	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
862	#107	C₂³×C₁₃	1	2	yes	—
863	#107	C₂³×C₁₃	1	2	yes	—
864	#107	C₂³×C₁₃	1	2	yes	—
865	#107	C₂³×C₁₃	1	2	yes	—
866	#106	C₂³×C₁₃	1	1	yes	characteristic
867	#106	C₂³×C₁₃	1	1	yes	characteristic
868	#106	C₂³×C₁₃	1	1	yes	characteristic
869	#106	C₂³×C₁₃	1	1	yes	characteristic
870	#106	C₂³×C₁₃	1	2	yes	—
871	#106	C₂³×C₁₃	1	2	yes	—
872	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
873	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
874	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
876	#103	C₂³×C₁₃	1	1	yes	characteristic
877	#103	C₂³×C₁₃	1	1	yes	characteristic
878	#103	C₂³×C₁₃	1	1	yes	characteristic
879	#103	C₂³×C₁₃	1	1	yes	characteristic
880	#103	C₂³×C₁₃	1	2	yes	—
881	#103	C₂³×C₁₃	1	2	yes	—
882	#102	C₂³×C₁₃	1	1	yes	characteristic
883	#102	C₂³×C₁₃	1	1	yes	characteristic
884	#102	C₂³×C₁₃	1	1	yes	characteristic
885	#102	C₂³×C₁₃	1	1	yes	characteristic
886	#102	C₂³×C₁₃	1	2	yes	—
887	#102	C₂³×C₁₃	1	2	yes	—
888	#102	C₂³×C₁₃	1	2	yes	—
889	#102	C₂³×C₁₃	1	2	yes	—
890	#102	C₂³×C₁₃	1	2	yes	—
891	#102	C₂³×C₁₃	1	2	yes	—
892	#102	C₂³×C₁₃	1	2	yes	—
893	#102	C₂³×C₁₃	1	2	yes	—
894	#102	C₂³×C₁₃	1	2	yes	—
895	#102	C₂³×C₁₃	1	2	yes	—
896	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
897	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
898	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
899	#97	C₂³×C₁₃	1	2	yes	—
900	#97	C₂³×C₁₃	1	2	yes	—
901	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
902	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
903	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
904	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
905	C₄×C₈	C₂³×C₁₃	1	2	yes	—
906	C₂×C₁₃	—	2	2	no	—
907	C₂×C₁₃	—	4	2	no	—
908	C₂×C₁₃	—	4	2	no	—
909	C₂×C₁₃	—	8	2	no	—
910	C₂×C₁₃	—	8	1	no	—
911	C₂×C₁₃	—	8	2	no	—
912	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
913	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
914	C₂×C₁₃	#3584	1	1	yes	characteristic
915	C₂⁴	—	2	2	no	—
916	C₂⁴	—	2	1	no	—
917	#41	—	2	4	no	—
918	#41	—	2	4	no	—
919	#41	—	4	2	no	—
920	#41	—	4	8	no	—
921	#41	—	4	8	no	—
922	#41	—	4	4	no	—
923	#41	—	4	4	no	—
924	#41	—	4	4	no	—
925	#41	—	4	4	no	—
926	C₂×Q₈	—	2	1	no	—
927	C₂×Q₈	—	2	1	no	—
928	C₂×Q₈	—	2	2	no	—
929	C₂×Q₈	—	2	1	no	—
930	C₂×Q₈	—	2	2	no	—
931	C₂×Q₈	—	4	1	no	—
932	C₂×Q₈	—	4	4	no	—
933	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
934	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	4	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	2	no	—
942	C₂×D₄	—	2	2	no	—
943	C₂×D₄	—	2	2	no	—
944	C₂×D₄	—	2	2	no	—
945	C₂×D₄	—	2	1	no	—
946	C₂×D₄	—	2	1	no	—
947	C₂×D₄	—	2	2	no	—
948	C₂×D₄	—	2	1	no	—
949	C₂×D₄	—	2	2	no	—
950	C₂×D₄	—	2	1	no	—
951	C₂×D₄	—	2	1	no	—
952	C₂×D₄	—	4	1	no	—
953	C₂×D₄	—	4	2	no	—
954	C₂×D₄	—	4	8	no	—
955	C₂×D₄	—	4	4	no	—
956	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
957	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
958	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
959	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
960	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	—	2	1	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	1	no	—
965	C₂²×C₄	—	2	1	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	2	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	2	no	—
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	2	no	—
974	C₂²×C₄	—	2	1	no	—
975	C₂²×C₄	—	2	2	no	—
976	C₂²×C₄	—	4	8	no	—
977	C₂²×C₄	—	4	4	no	—
978	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
980	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
981	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
982	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
983	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
984	SD₁₆	—	2	2	no	—
985	SD₁₆	—	2	4	no	—
986	SD₁₆	—	2	2	no	—
987	SD₁₆	—	2	2	no	—
988	SD₁₆	—	4	2	no	—
989	SD₁₆	C₁₃×#41	1	4	yes	complemented
990	D₈	—	2	4	no	—
991	D₈	—	2	4	no	—
992	D₈	—	4	2	no	—
993	D₈	—	4	2	no	—
994	M₁₆	—	2	4	no	—
995	M₁₆	—	4	2	no	—
996	C₂×C₈	—	2	2	no	—
997	C₂×C₈	—	4	1	no	—
998	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1002	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1003	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	1	no	—
1007	C₄⋊C₄	—	2	1	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	—	2	2	no	—
1014	C₄⋊C₄	—	2	2	no	—
1015	C₄⋊C₄	—	2	1	no	—
1016	C₄⋊C₄	—	2	1	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1019	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1020	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1021	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1022	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1023	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1025	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1026	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1027	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	1	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	1	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	1	no	—
1036	C₂²⋊C₄	—	2	2	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	2	no	—
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1047	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1048	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1049	C₄²	—	2	1	no	—
1050	C₄²	—	2	1	no	—
1051	C₄²	—	2	2	no	—
1052	C₄²	—	2	2	no	—
1053	C₄²	—	2	1	no	—
1054	C₄²	—	2	1	no	—
1055	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1056	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1057	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1060	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1061	C₄²	C₂⁴×C₁₃	1	2	yes	—
1062	C₁₃	#61439	1	1	yes	characteristic, direct product factor, Sylow
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	2	no	—
1065	C₂³	—	2	2	no	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	4	2	no	—
1068	C₂³	—	4	4	no	—
1069	C₂³	—	4	4	no	—
1070	C₂³	—	4	2	no	—
1071	C₂³	—	8	1	no	—
1072	C₂³	—	8	2	no	—
1073	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1074	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1075	Q₈	—	2	2	no	—
1076	Q₈	—	2	1	no	—
1077	Q₈	—	2	1	no	—
1078	Q₈	—	2	1	no	—
1079	Q₈	—	4	2	no	—
1080	Q₈	—	4	4	no	—
1081	Q₈	—	4	2	no	—
1082	Q₈	—	4	2	no	—
1083	Q₈	C₂×C₁₃×#41	1	2	yes	complemented
1084	D₄	—	2	4	no	—
1085	D₄	—	2	2	no	—
1086	D₄	—	2	2	no	—
1087	D₄	—	2	2	no	—
1088	D₄	—	2	1	no	—
1089	D₄	—	2	1	no	—
1090	D₄	—	2	1	no	—
1091	D₄	—	2	2	no	—
1092	D₄	—	2	2	no	—
1093	D₄	—	4	4	no	—
1094	D₄	—	4	2	no	—
1095	D₄	—	4	4	no	—
1096	D₄	—	4	4	no	—
1097	D₄	—	4	4	no	—
1098	D₄	—	4	4	no	—
1099	D₄	—	4	4	no	—
1100	D₄	—	4	4	no	—
1101	D₄	—	4	2	no	—
1102	D₄	—	4	2	no	—
1103	D₄	—	8	2	no	—
1104	D₄	—	8	1	no	—
1105	D₄	—	8	1	no	—
1106	D₄	—	8	2	no	—
1107	D₄	C₂×C₁₃×#41	1	2	yes	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	4	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	2	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	4	2	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	4	no	—
1124	C₂×C₄	—	4	2	no	—
1125	C₂×C₄	—	4	4	no	—
1126	C₂×C₄	—	4	4	no	—
1127	C₂×C₄	—	4	4	no	—
1128	C₂×C₄	—	4	2	no	—
1129	C₂×C₄	—	4	2	no	—
1130	C₂×C₄	—	4	2	no	—
1131	C₂×C₄	—	4	2	no	—
1132	C₂×C₄	—	4	4	no	—
1133	C₂×C₄	—	4	2	no	—
1134	C₂×C₄	—	4	4	no	—
1135	C₂×C₄	—	8	2	no	—
1136	C₂×C₄	—	8	1	no	—
1137	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
1138	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1139	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1140	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1141	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1142	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1143	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1144	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1145	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1146	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1147	C₈	—	2	1	no	—
1148	C₈	—	2	2	no	—
1149	C₈	—	2	1	no	—
1150	C₈	—	2	1	no	—
1151	C₈	—	2	2	no	—
1152	C₈	C₂×C₁₃×#41	1	2	yes	complemented
1153	C₂²	—	2	1	no	—
1154	C₂²	—	2	1	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	2	2	no	—
1158	C₂²	—	2	2	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	—	4	1	no	—
1163	C₂²	—	4	2	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	2	no	—
1167	C₂²	—	4	2	no	—
1168	C₂²	—	4	2	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	8	4	no	—
1171	C₂²	—	8	8	no	—
1172	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
1173	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1174	C₄	—	2	2	no	—
1175	C₄	—	2	1	no	—
1176	C₄	—	2	2	no	—
1177	C₄	—	2	1	no	—
1178	C₄	—	2	2	no	—
1179	C₄	—	2	1	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	2	no	—
1183	C₄	—	4	1	no	—
1184	C₄	—	4	2	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	1	no	—
1188	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
1189	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
1190	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1191	C₄	C₁₃×#585	1	1	yes	characteristic
1192	C₂	—	2	2	no	—
1193	C₂	—	4	2	no	—
1194	C₂	—	4	2	no	—
1195	C₂	—	8	1	no	—
1196	C₂	—	8	2	no	—
1197	C₂	—	8	2	no	—
1198	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1199	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1200	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
socle	C₂²×C₁₃	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3480	C₂	semidirect
2. D₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#3399	C₂	semidirect
4. C₁₃×#3386	C₂	semidirect
5. C₁₃×#3373	C₂	semidirect
6. C₁₃×#3368	C₂	semidirect
7. C₁₃×#3353	C₂	semidirect
8. C₁₃×#3345	C₂	semidirect
9. C₁₃×#3332	C₂	semidirect
10. C₁₃×#3324	C₂	semidirect
11. C₁₃×#3318	C₂	semidirect
12. C₁₃×#3308	C₂	semidirect
13. C₁₃×#3274	C₂	semidirect
14. C₁₃×#3265	C₂	semidirect
15. C₁₃×#3171	C₂	semidirect
16. C₁₃×#3169	C₂	semidirect
17. C₁₃×#3106	C₂	semidirect
18. C₁₃×#3105	C₂	semidirect
19. C₁₃×#3103	C₂	semidirect
20. C₁₃×#3100	C₂	semidirect
21. C₁₃×#2965	C₂	semidirect
22. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
23. C₂×C₄×C₁₃×SD₁₆	C₂	semidirect
28. C₁₃×#559	C₂²	semidirect
29. C₁₃×#557	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
33. C₁₃×#553	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
38. C₁₃×#548	C₂²	semidirect
48. C₁₃×#532	C₂²	semidirect
50. C₁₃×#529	C₂²	semidirect
55. C₄×C₁₃×#41	C₂²	semidirect
56. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
59. C₁₃×#501	C₂²	semidirect
60. C₁₃×#500	C₂²	semidirect
61. C₁₃×#496	C₂²	semidirect
62. C₁₃×#493	C₂²	semidirect
63. C₁₃×#490	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
65. C₁₃×#486	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#484	C₂²	semidirect
68. C₁₃×#482	C₂²	semidirect
69. C₁₃×#482	C₂²	semidirect
70. C₁₃×#481	C₂²	semidirect
71. C₁₃×#481	C₂²	semidirect
72. C₁₃×#480	C₂²	semidirect
74. C₁₃×#478	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
76. C₁₃×#476	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#475	C₂²	semidirect
80. C₁₃×#474	C₂²	semidirect
81. C₁₃×#469	C₂²	semidirect
82. C₁₃×#469	C₂²	semidirect
83. C₁₃×#468	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#466	C₂²	semidirect
86. C₁₃×#466	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#460	C₂²	semidirect
90. C₁₃×#460	C₂²	semidirect
91. C₁₃×#460	C₂²	semidirect
93. C₁₃×#459	C₂²	semidirect
94. C₁₃×#459	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
97. C₁₃×#449	C₂²	semidirect
98. C₁₃×#448	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#446	C₂²	semidirect
104. C₁₃×#442	C₂²	semidirect
106. C₁₃×#440	C₂²	semidirect
111. C₄×C₁₃×SD₁₆	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
116. C₄×C₁₃×SD₁₆	C₂²	semidirect
118. C₄×C₁₃×D₈	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. C₁₃×#435	C₂²	semidirect
125. C₁₃×#431	C₂²	semidirect
126. C₁₃×#431	C₂²	semidirect
127. C₁₃×#428	C₂²	semidirect
128. C₂×C₁₃×#106	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₂×C₁₃×#103	C₂²	semidirect
133. C₄×C₁₃×M₁₆	C₂²	semidirect
134. C₂×C₄×C₈×C₁₃	C₂²	semidirect
315. #61439	C₁₃	direct (N × H)
390. C₁₃×SD₁₆	#41	semidirect
463. #3480	C₂×C₁₃	semidirect
464. D₄×#41	C₂×C₁₃	semidirect
465. #3399	C₂×C₁₃	semidirect
466. #3386	C₂×C₁₃	semidirect
467. #3373	C₂×C₁₃	semidirect
468. #3368	C₂×C₁₃	semidirect
469. #3353	C₂×C₁₃	semidirect
470. #3345	C₂×C₁₃	semidirect
471. #3332	C₂×C₁₃	semidirect
472. #3324	C₂×C₁₃	semidirect
473. #3318	C₂×C₁₃	semidirect
474. #3308	C₂×C₁₃	semidirect
475. #3274	C₂×C₁₃	semidirect
476. #3265	C₂×C₁₃	semidirect
477. #3171	C₂×C₁₃	semidirect
478. #3169	C₂×C₁₃	semidirect
479. #3106	C₂×C₁₃	semidirect
480. #3105	C₂×C₁₃	semidirect
481. #3103	C₂×C₁₃	semidirect
482. #3100	C₂×C₁₃	semidirect
483. #2965	C₂×C₁₃	semidirect
484. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
485. C₂×C₄×SD₁₆	C₂×C₁₃	semidirect
506. Q₈×C₁₃	C₂×#41	semidirect
560. C₂×C₄×C₁₃	AGL(1,ℤ/8)	semidirect
575. C₈×C₁₃	C₂×#41	semidirect
580. #559	C₂²×C₁₃	semidirect
581. #557	C₂²×C₁₃	semidirect
583. #556	C₂²×C₁₃	semidirect
585. #553	C₂²×C₁₃	semidirect
587. #550	C₂²×C₁₃	semidirect
590. #548	C₂²×C₁₃	semidirect
600. #532	C₂²×C₁₃	semidirect
602. #529	C₂²×C₁₃	semidirect
607. C₄×#41	C₂²×C₁₃	semidirect
608. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
611. #501	C₂²×C₁₃	semidirect
612. #500	C₂²×C₁₃	semidirect
613. #496	C₂²×C₁₃	semidirect
614. #493	C₂²×C₁₃	semidirect
615. #490	C₂²×C₁₃	semidirect
616. #489	C₂²×C₁₃	semidirect
617. #486	C₂²×C₁₃	semidirect
618. #486	C₂²×C₁₃	semidirect
619. #484	C₂²×C₁₃	semidirect
620. #482	C₂²×C₁₃	semidirect
621. #482	C₂²×C₁₃	semidirect
622. #481	C₂²×C₁₃	semidirect
623. #481	C₂²×C₁₃	semidirect
624. #480	C₂²×C₁₃	semidirect
626. #478	C₂²×C₁₃	semidirect
627. #477	C₂²×C₁₃	semidirect
628. #476	C₂²×C₁₃	semidirect
629. #475	C₂²×C₁₃	semidirect
630. #475	C₂²×C₁₃	semidirect
632. #474	C₂²×C₁₃	semidirect
633. #469	C₂²×C₁₃	semidirect
634. #469	C₂²×C₁₃	semidirect
635. #468	C₂²×C₁₃	semidirect
636. #468	C₂²×C₁₃	semidirect
637. #466	C₂²×C₁₃	semidirect
638. #466	C₂²×C₁₃	semidirect
640. #463	C₂²×C₁₃	semidirect
641. #460	C₂²×C₁₃	semidirect
642. #460	C₂²×C₁₃	semidirect
643. #460	C₂²×C₁₃	semidirect
645. #459	C₂²×C₁₃	semidirect
646. #459	C₂²×C₁₃	semidirect
648. #449	C₂²×C₁₃	semidirect
649. #449	C₂²×C₁₃	semidirect
650. #448	C₂²×C₁₃	semidirect
653. #446	C₂²×C₁₃	semidirect
654. #446	C₂²×C₁₃	semidirect
656. #442	C₂²×C₁₃	semidirect
658. #440	C₂²×C₁₃	semidirect
663. C₄×SD₁₆	C₂²×C₁₃	semidirect
664. C₄×SD₁₆	C₂²×C₁₃	semidirect
665. C₄×SD₁₆	C₂²×C₁₃	semidirect
666. C₄×SD₁₆	C₂²×C₁₃	semidirect
667. C₄×SD₁₆	C₂²×C₁₃	semidirect
668. C₄×SD₁₆	C₂²×C₁₃	semidirect
670. C₄×D₈	C₂²×C₁₃	semidirect
671. C₄×D₈	C₂²×C₁₃	semidirect
672. C₄×D₈	C₂²×C₁₃	semidirect
673. #436	C₂²×C₁₃	semidirect
674. #436	C₂²×C₁₃	semidirect
675. #435	C₂²×C₁₃	semidirect
676. #435	C₂²×C₁₃	semidirect
677. #431	C₂²×C₁₃	semidirect
678. #431	C₂²×C₁₃	semidirect
679. #428	C₂²×C₁₃	semidirect
680. C₂×#106	C₂²×C₁₃	semidirect
682. #417	C₂²×C₁₃	semidirect
683. C₂×#103	C₂²×C₁₃	semidirect
685. C₄×M₁₆	C₂²×C₁₃	semidirect
686. C₂×C₄×C₈	C₂²×C₁₃	semidirect
989. SD₁₆	C₁₃×#41	semidirect
1062. C₁₃	#61439	direct (N × H)
1083. Q₈	C₂×C₁₃×#41	semidirect
1137. C₂×C₄	C₁₃×AGL(1,ℤ/8)	semidirect
1152. C₈	C₂×C₁₃×#41	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#3480	2
D₄×C₁₃×#41	2
C₁₃×#3399	2
C₁₃×#3386	2
C₁₃×#3373	2
C₁₃×#3368	2
C₁₃×#3353	2
C₁₃×#3345	2
C₁₃×#3332	2
C₁₃×#3324	2
C₁₃×#3318	2
C₁₃×#3308	2
C₁₃×#3274	2
C₁₃×#3265	2
C₁₃×#3171	2
C₁₃×#3169	2
C₁₃×#3106	2
C₁₃×#3105	2
C₁₃×#3103	2
C₁₃×#3100	2
C₁₃×#2965	2
C₄×C₁₃×AGL(1,ℤ/8)	2
C₂×C₄×C₁₃×SD₁₆	2
#61439	13

Subgroups — C13×#61439 #15747778

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61439 #15747778