Subgroups — C₁₃×#61437 #15747776

Order 3328.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1214 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3354	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3310	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3272	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3171	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3167	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×#3101	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×D₈	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×D₈	C₂²	1	1	yes	characteristic
27	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#553	—	2	1	no	—
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#552	C₂²	1	2	yes	complemented
33	C₁₃×#551	—	2	2	no	—
34	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
35	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#548	—	2	1	no	—
37	C₁₃×#547	C₂²	1	2	yes	—
38	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#546	—	2	2	no	—
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#546	C₂²	1	2	yes	complemented
43	D₄²×C₁₃	C₂²	1	2	yes	—
44	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	2	yes	complemented
48	C₁₃×#529	—	2	2	no	—
49	C₁₃×#529	C₂²	1	2	yes	complemented
50	C₁₃×#525	—	2	1	no	—
51	C₁₃×#525	—	2	1	no	—
52	C₁₃×#525	—	2	2	no	—
53	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
58	C₂×C₁₃×#117	—	2	1	no	—
59	C₁₃×#501	C₂²	1	2	yes	complemented
60	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#496	C₂²	1	2	yes	complemented
62	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#490	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×#484	C₂²	1	2	yes	complemented
68	C₁₃×#483	C₂²	1	2	yes	complemented
69	C₁₃×#482	C₂²	1	2	yes	complemented
70	C₁₃×#482	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	complemented
74	C₁₃×#478	C₂²	1	2	yes	complemented
75	C₁₃×#477	C₂²	1	2	yes	complemented
76	C₁₃×#476	C₂²	1	2	yes	complemented
77	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
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×#465	C₂²	1	2	yes	complemented
86	C₁₃×#465	C₂²	1	2	yes	complemented
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#460	C₂²	1	2	yes	complemented
92	C₁₃×#459	C₂²	1	2	yes	complemented
93	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#450	C₂²	1	2	yes	—
96	C₁₃×#450	C₂²	1	2	yes	complemented
97	C₁₃×#449	C₂²	1	2	yes	complemented
98	C₁₃×#449	C₂²	1	2	yes	complemented
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	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	complemented
106	C₁₃×#440	C₂²	1	2	yes	complemented
107	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
108	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
109	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
110	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
111	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
118	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
119	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, 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×#107	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#418	C₂²	1	2	yes	complemented
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
132	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
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	—	4	8	no	—
141	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂²×Q₈×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	—	2	2	no	—
145	C₂²×D₄×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
149	C₂³×C₄×C₁₃	—	2	1	no	—
150	C₂³×C₄×C₁₃	—	2	1	no	—
151	C₂³×C₄×C₁₃	—	2	2	no	—
152	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	—	2	4	no	—
158	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×D₈	C₂³	1	2	yes	—
162	C₂×C₁₃×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
173	C₁₃×#127	C₂³	1	2	yes	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	C₂³	1	2	yes	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	1	no	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	C₂³	1	2	yes	—
184	C₁₃×#123	—	2	2	no	—
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×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	1	no	—
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	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₃×#121	—	2	1	no	—
202	C₁₃×#121	—	2	1	no	—
203	C₁₃×#121	—	2	1	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	—	2	1	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×#120	—	2	2	no	—
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	D₄	1	1	yes	characteristic
220	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
221	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	—	2	2	no	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	D₄	1	2	yes	—
235	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	2	yes	—
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₄×D₄×C₁₃	C₂³	1	2	yes	—
248	C₄×D₄×C₁₃	C₂³	1	2	yes	—
249	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
250	C₁₃×#117	—	2	1	no	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	1	no	—
253	C₁₃×#117	—	2	2	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	D₄	1	1	yes	characteristic
257	C₁₃×#117	D₄	1	2	yes	—
258	C₁₃×#117	C₂³	1	2	yes	—
259	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₁₃×C₂²⋊C₄	—	2	2	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	1	yes	characteristic
272	C₁₃×#107	C₂³	1	1	yes	characteristic
273	C₁₃×#107	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#107	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	2	yes	—
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	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#102	C₂³	1	1	yes	characteristic
290	C₁₃×#102	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
296	C₁₃×#102	C₂³	1	1	yes	characteristic
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	#61437	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₂⁴×C₁₃	—	2	2	no	—
318	C₂⁴×C₁₃	—	2	1	no	—
319	C₁₃×#41	—	2	4	no	—
320	C₁₃×#41	—	2	4	no	—
321	C₁₃×#41	—	4	2	no	—
322	C₁₃×#41	—	4	8	no	—
323	C₁₃×#41	—	4	8	no	—
324	C₁₃×#41	—	4	4	no	—
325	C₁₃×#41	—	4	4	no	—
326	C₁₃×#41	—	4	4	no	—
327	C₂×Q₈×C₁₃	—	2	2	no	—
328	C₂×Q₈×C₁₃	—	2	1	no	—
329	C₂×Q₈×C₁₃	—	2	1	no	—
330	C₂×Q₈×C₁₃	—	4	4	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	4	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	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	2	no	—
347	C₂×D₄×C₁₃	—	2	1	no	—
348	C₂×D₄×C₁₃	—	4	1	no	—
349	C₂×D₄×C₁₃	—	4	1	no	—
350	C₂×D₄×C₁₃	—	4	2	no	—
351	C₂×D₄×C₁₃	—	4	8	no	—
352	C₂×D₄×C₁₃	—	4	4	no	—
353	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
354	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
355	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
358	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	1	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	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	2	1	no	—
368	C₂²×C₄×C₁₃	—	2	2	no	—
369	C₂²×C₄×C₁₃	—	2	1	no	—
370	C₂²×C₄×C₁₃	—	2	1	no	—
371	C₂²×C₄×C₁₃	—	2	1	no	—
372	C₂²×C₄×C₁₃	—	2	1	no	—
373	C₂²×C₄×C₁₃	—	2	1	no	—
374	C₂²×C₄×C₁₃	—	2	2	no	—
375	C₂²×C₄×C₁₃	—	2	2	no	—
376	C₂²×C₄×C₁₃	—	4	8	no	—
377	C₂²×C₄×C₁₃	—	4	4	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	4	no	—
386	C₁₃×SD₁₆	—	2	4	no	—
387	C₁₃×SD₁₆	—	4	2	no	—
388	C₁₃×SD₁₆	—	4	2	no	—
389	C₁₃×D₈	—	2	2	no	—
390	C₁₃×D₈	—	2	2	no	—
391	C₁₃×D₈	—	2	4	no	—
392	C₁₃×D₈	—	2	2	no	—
393	C₁₃×D₈	—	4	2	no	—
394	C₁₃×D₈	#41	1	4	yes	complemented
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	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	—	2	2	no	—
418	C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
420	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
424	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
425	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
426	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
428	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	1	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	1	no	—
440	C₁₃×C₂²⋊C₄	—	2	1	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	1	no	—
443	C₁₃×C₂²⋊C₄	—	2	1	no	—
444	C₁₃×C₂²⋊C₄	—	2	1	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	2	2	no	—
447	C₁₃×C₂²⋊C₄	—	2	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	2	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
451	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
452	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
453	C₄²×C₁₃	—	2	2	no	—
454	C₄²×C₁₃	—	2	2	no	—
455	C₄²×C₁₃	—	2	2	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	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
464	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3384	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3354	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3343	C₂×C₁₃	1	2	yes	complemented
471	#3330	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3325	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3310	C₂×C₁₃	1	2	yes	complemented
474	#3306	C₂×C₁₃	1	2	yes	complemented
475	#3272	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3264	C₂×C₁₃	1	2	yes	complemented
477	#3171	C₂×C₁₃	1	2	yes	complemented
478	#3167	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3106	C₂×C₁₃	1	2	yes	complemented
480	#3105	C₂×C₁₃	1	2	yes	complemented
481	#3101	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×D₈	C₂×C₁₃	1	1	yes	characteristic, complemented
486	C₂³×C₁₃	—	2	1	no	—
487	C₂³×C₁₃	—	2	1	no	—
488	C₂³×C₁₃	—	2	1	no	—
489	C₂³×C₁₃	—	2	1	no	—
490	C₂³×C₁₃	—	2	2	no	—
491	C₂³×C₁₃	—	4	2	no	—
492	C₂³×C₁₃	—	4	2	no	—
493	C₂³×C₁₃	—	4	4	no	—
494	C₂³×C₁₃	—	4	4	no	—
495	C₂³×C₁₃	—	4	2	no	—
496	C₂³×C₁₃	—	4	2	no	—
497	C₂³×C₁₃	—	8	1	no	—
498	C₂³×C₁₃	—	8	1	no	—
499	C₂³×C₁₃	—	8	2	no	—
500	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
501	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
502	Q₈×C₁₃	—	2	2	no	—
503	Q₈×C₁₃	—	2	2	no	—
504	Q₈×C₁₃	—	2	2	no	—
505	Q₈×C₁₃	—	4	4	no	—
506	Q₈×C₁₃	—	4	2	no	—
507	Q₈×C₁₃	—	8	1	no	—
508	D₄×C₁₃	—	2	4	no	—
509	D₄×C₁₃	—	2	2	no	—
510	D₄×C₁₃	—	2	1	no	—
511	D₄×C₁₃	—	2	1	no	—
512	D₄×C₁₃	—	2	2	no	—
513	D₄×C₁₃	—	2	1	no	—
514	D₄×C₁₃	—	2	1	no	—
515	D₄×C₁₃	—	2	1	no	—
516	D₄×C₁₃	—	2	2	no	—
517	D₄×C₁₃	—	2	1	no	—
518	D₄×C₁₃	—	4	4	no	—
519	D₄×C₁₃	—	4	2	no	—
520	D₄×C₁₃	—	4	2	no	—
521	D₄×C₁₃	—	4	4	no	—
522	D₄×C₁₃	—	4	4	no	—
523	D₄×C₁₃	—	4	4	no	—
524	D₄×C₁₃	—	4	4	no	—
525	D₄×C₁₃	—	4	4	no	—
526	D₄×C₁₃	—	4	2	no	—
527	D₄×C₁₃	—	8	2	no	—
528	D₄×C₁₃	—	8	1	no	—
529	D₄×C₁₃	—	8	2	no	—
530	D₄×C₁₃	C₂×#41	1	2	yes	—
531	D₄×C₁₃	C₂×#41	1	2	yes	complemented
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	2	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	4	no	—
548	C₂×C₄×C₁₃	—	4	4	no	—
549	C₂×C₄×C₁₃	—	4	4	no	—
550	C₂×C₄×C₁₃	—	4	2	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	2	no	—
556	C₂×C₄×C₁₃	—	4	2	no	—
557	C₂×C₄×C₁₃	—	4	2	no	—
558	C₂×C₄×C₁₃	—	4	2	no	—
559	C₂×C₄×C₁₃	—	4	4	no	—
560	C₂×C₄×C₁₃	—	4	2	no	—
561	C₂×C₄×C₁₃	—	8	2	no	—
562	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
563	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
564	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
565	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
566	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
567	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
568	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
569	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
570	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
571	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
572	C₈×C₁₃	—	2	1	no	—
573	C₈×C₁₃	—	2	2	no	—
574	C₈×C₁₃	—	2	1	no	—
575	C₈×C₁₃	—	2	1	no	—
576	C₈×C₁₃	—	2	2	no	—
577	C₈×C₁₃	C₂×#41	1	2	yes	complemented
578	C₂²×#41	—	2	1	no	—
579	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
580	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
581	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#553	—	2	1	no	—
585	#552	—	2	1	no	—
586	#552	C₂²×C₁₃	1	2	yes	complemented
587	#551	—	2	2	no	—
588	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
589	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
590	#548	—	2	1	no	—
591	#547	C₂²×C₁₃	1	2	yes	—
592	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#546	—	2	2	no	—
595	#546	—	2	1	no	—
596	#546	C₂²×C₁₃	1	2	yes	complemented
597	D₄²	C₂²×C₁₃	1	2	yes	—
598	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#532	C₂²×C₁₃	1	1	yes	characteristic
601	#532	C₂²×C₁₃	1	2	yes	complemented
602	#529	—	2	2	no	—
603	#529	C₂²×C₁₃	1	2	yes	complemented
604	#525	—	2	1	no	—
605	#525	—	2	1	no	—
606	#525	—	2	2	no	—
607	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
608	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
609	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
610	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
612	C₂×#117	—	2	1	no	—
613	#501	C₂²×C₁₃	1	2	yes	complemented
614	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#496	C₂²×C₁₃	1	2	yes	complemented
616	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#490	C₂²×C₁₃	1	2	yes	complemented
618	#489	C₂²×C₁₃	1	2	yes	complemented
619	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#484	C₂²×C₁₃	1	2	yes	complemented
622	#483	C₂²×C₁₃	1	2	yes	complemented
623	#482	C₂²×C₁₃	1	2	yes	complemented
624	#482	C₂²×C₁₃	1	2	yes	complemented
625	#481	C₂²×C₁₃	1	2	yes	complemented
626	#480	C₂²×C₁₃	1	2	yes	complemented
627	#478	C₂²×C₁₃	1	2	yes	complemented
628	#478	C₂²×C₁₃	1	2	yes	complemented
629	#477	C₂²×C₁₃	1	2	yes	complemented
630	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#476	C₂²×C₁₃	1	2	yes	complemented
633	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#469	C₂²×C₁₃	1	2	yes	complemented
636	#469	C₂²×C₁₃	1	2	yes	complemented
637	#468	C₂²×C₁₃	1	2	yes	complemented
638	#468	C₂²×C₁₃	1	2	yes	complemented
639	#465	C₂²×C₁₃	1	2	yes	complemented
640	#465	C₂²×C₁₃	1	2	yes	complemented
641	#463	C₂²×C₁₃	1	2	yes	—
642	#463	C₂²×C₁₃	1	2	yes	complemented
643	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	#460	C₂²×C₁₃	1	2	yes	complemented
646	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#459	C₂²×C₁₃	1	2	yes	complemented
649	#450	C₂²×C₁₃	1	2	yes	—
650	#450	C₂²×C₁₃	1	2	yes	complemented
651	#449	C₂²×C₁₃	1	2	yes	complemented
652	#449	C₂²×C₁₃	1	2	yes	complemented
653	#447	C₂²×C₁₃	1	2	yes	—
654	#447	C₂²×C₁₃	1	2	yes	complemented
655	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#442	C₂²×C₁₃	1	2	yes	—
658	#442	C₂²×C₁₃	1	2	yes	complemented
659	#440	C₂²×C₁₃	1	2	yes	complemented
660	#440	C₂²×C₁₃	1	2	yes	complemented
661	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
662	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
663	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
664	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
665	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
666	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
667	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
668	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
669	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
672	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
673	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
674	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#435	C₂²×C₁₃	1	2	yes	complemented
678	#435	C₂²×C₁₃	1	2	yes	complemented
679	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	#431	C₂²×C₁₃	1	2	yes	complemented
681	#428	C₂²×C₁₃	1	2	yes	complemented
682	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	#418	C₂²×C₁₃	1	2	yes	complemented
684	#417	C₂²×C₁₃	1	2	yes	complemented
685	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
686	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	C₄×M₁₆	C₂²×C₁₃	1	2	yes	complemented
688	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
689	C₂²×C₁₃	—	2	1	no	—
690	C₂²×C₁₃	—	2	1	no	—
691	C₂²×C₁₃	—	2	2	no	—
692	C₂²×C₁₃	—	2	2	no	—
693	C₂²×C₁₃	—	2	2	no	—
694	C₂²×C₁₃	—	2	2	no	—
695	C₂²×C₁₃	—	2	2	no	—
696	C₂²×C₁₃	—	4	1	no	—
697	C₂²×C₁₃	—	4	1	no	—
698	C₂²×C₁₃	—	4	1	no	—
699	C₂²×C₁₃	—	4	1	no	—
700	C₂²×C₁₃	—	4	1	no	—
701	C₂²×C₁₃	—	4	2	no	—
702	C₂²×C₁₃	—	4	1	no	—
703	C₂²×C₁₃	—	4	1	no	—
704	C₂²×C₁₃	—	4	1	no	—
705	C₂²×C₁₃	—	4	2	no	—
706	C₂²×C₁₃	—	4	2	no	—
707	C₂²×C₁₃	—	4	1	no	—
708	C₂²×C₁₃	—	4	1	no	—
709	C₂²×C₁₃	—	8	4	no	—
710	C₂²×C₁₃	—	8	4	no	—
711	C₂²×C₁₃	—	8	8	no	—
712	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
713	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
714	C₄×C₁₃	—	2	1	no	—
715	C₄×C₁₃	—	2	2	no	—
716	C₄×C₁₃	—	2	1	no	—
717	C₄×C₁₃	—	2	2	no	—
718	C₄×C₁₃	—	2	1	no	—
719	C₄×C₁₃	—	2	2	no	—
720	C₄×C₁₃	—	4	2	no	—
721	C₄×C₁₃	—	4	2	no	—
722	C₄×C₁₃	—	4	1	no	—
723	C₄×C₁₃	—	4	1	no	—
724	C₄×C₁₃	—	4	1	no	—
725	C₄×C₁₃	—	4	2	no	—
726	C₄×C₁₃	—	4	1	no	—
727	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
728	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
729	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
730	C₄×C₁₃	#585	1	1	yes	characteristic
731	C₂×#41	—	2	1	no	—
732	C₂×#41	—	2	2	no	—
733	C₂×#41	—	2	1	no	—
734	C₂×#41	—	2	1	no	—
735	C₂×#41	—	2	2	no	—
736	C₂×#41	—	4	8	no	—
737	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
738	C₂×#41	C₂³×C₁₃	1	2	yes	—
739	C₂²×Q₈	—	2	1	no	—
740	C₂²×D₄	—	2	2	no	—
741	C₂²×D₄	—	2	1	no	—
742	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
743	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
744	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
745	C₂³×C₄	—	2	1	no	—
746	C₂³×C₄	—	2	1	no	—
747	C₂³×C₄	—	2	2	no	—
748	AGL(1,ℤ/8)	—	2	8	no	—
749	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
750	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
751	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
752	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
753	C₂×D₈	—	2	4	no	—
754	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
755	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
756	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
757	C₂×D₈	C₂³×C₁₃	1	2	yes	—
758	C₂×D₈	C₂³×C₁₃	1	2	yes	—
759	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
760	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
761	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
762	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
763	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
764	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
765	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
766	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
767	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
768	#127	C₂³×C₁₃	1	1	yes	characteristic
769	#127	C₂³×C₁₃	1	2	yes	—
770	#126	—	2	2	no	—
771	#126	—	2	2	no	—
772	#126	—	2	2	no	—
773	#125	—	2	2	no	—
774	#125	—	2	1	no	—
775	#125	C₂³×C₁₃	1	2	yes	—
776	#124	—	2	2	no	—
777	#124	—	2	1	no	—
778	#124	—	2	2	no	—
779	#124	C₂³×C₁₃	1	2	yes	—
780	#123	—	2	2	no	—
781	#123	—	2	2	no	—
782	#123	—	2	2	no	—
783	#123	—	2	2	no	—
784	#123	—	2	2	no	—
785	#123	—	2	2	no	—
786	#123	—	2	2	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	2	1	no	—
789	C₂²⋊Q₈	—	2	1	no	—
790	C₂²⋊Q₈	—	2	1	no	—
791	C₂²⋊Q₈	—	2	2	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	—	2	1	no	—
794	C₂²⋊Q₈	—	2	2	no	—
795	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
796	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
797	#121	—	2	1	no	—
798	#121	—	2	1	no	—
799	#121	—	2	1	no	—
800	#121	—	2	2	no	—
801	#121	—	2	2	no	—
802	#121	—	2	1	no	—
803	#121	—	2	1	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	C₂³×C₁₃	1	2	yes	—
807	#121	C₂³×C₁₃	1	2	yes	—
808	#121	C₂³×C₁₃	1	2	yes	—
809	#121	C₂³×C₁₃	1	2	yes	—
810	#120	—	2	2	no	—
811	#120	—	2	2	no	—
812	#120	—	2	2	no	—
813	#120	—	2	2	no	—
814	C₄×Q₈	—	2	1	no	—
815	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
816	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
817	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
818	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
819	C₄×D₄	—	2	2	no	—
820	C₄×D₄	—	2	2	no	—
821	C₄×D₄	—	2	2	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	2	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	2	no	—
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	2	no	—
830	C₄×D₄	D₄×C₁₃	1	2	yes	—
831	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
832	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
833	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
834	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
835	C₄×D₄	C₂³×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	2	yes	—
840	C₄×D₄	C₂³×C₁₃	1	2	yes	—
841	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
842	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
843	C₄×D₄	C₂³×C₁₃	1	2	yes	—
844	C₄×D₄	C₂³×C₁₃	1	2	yes	—
845	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
846	#117	—	2	1	no	—
847	#117	—	2	1	no	—
848	#117	—	2	1	no	—
849	#117	—	2	2	no	—
850	#117	—	2	2	no	—
851	#117	—	2	2	no	—
852	#117	D₄×C₁₃	1	1	yes	characteristic
853	#117	D₄×C₁₃	1	2	yes	—
854	#117	C₂³×C₁₃	1	2	yes	—
855	C₂×C₄⋊C₄	—	2	1	no	—
856	C₂×C₄⋊C₄	—	2	1	no	—
857	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
859	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	—	2	1	no	—
861	C₂×C₂²⋊C₄	—	2	2	no	—
862	C₂×C₂²⋊C₄	—	2	1	no	—
863	C₂×C₂²⋊C₄	—	2	2	no	—
864	C₂×C₄²	—	2	2	no	—
865	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
866	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
867	#107	C₂³×C₁₃	1	1	yes	characteristic
868	#107	C₂³×C₁₃	1	1	yes	characteristic
869	#107	C₂³×C₁₃	1	1	yes	characteristic
870	#107	C₂³×C₁₃	1	1	yes	characteristic
871	#107	C₂³×C₁₃	1	2	yes	—
872	#107	C₂³×C₁₃	1	2	yes	—
873	#106	C₂³×C₁₃	1	2	yes	—
874	#106	C₂³×C₁₃	1	2	yes	—
875	#106	C₂³×C₁₃	1	2	yes	—
876	#106	C₂³×C₁₃	1	2	yes	—
877	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
878	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
879	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
880	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
881	#103	C₂³×C₁₃	1	2	yes	—
882	#103	C₂³×C₁₃	1	2	yes	—
883	#103	C₂³×C₁₃	1	2	yes	—
884	#103	C₂³×C₁₃	1	2	yes	—
885	#102	C₂³×C₁₃	1	1	yes	characteristic
886	#102	C₂³×C₁₃	1	1	yes	characteristic
887	#102	C₂³×C₁₃	1	1	yes	characteristic
888	#102	C₂³×C₁₃	1	1	yes	characteristic
889	#102	C₂³×C₁₃	1	1	yes	characteristic
890	#102	C₂³×C₁₃	1	1	yes	characteristic
891	#102	C₂³×C₁₃	1	1	yes	characteristic
892	#102	C₂³×C₁₃	1	1	yes	characteristic
893	#102	C₂³×C₁₃	1	2	yes	—
894	#102	C₂³×C₁₃	1	2	yes	—
895	#102	C₂³×C₁₃	1	2	yes	—
896	#102	C₂³×C₁₃	1	2	yes	—
897	#102	C₂³×C₁₃	1	2	yes	—
898	#102	C₂³×C₁₃	1	2	yes	—
899	#102	C₂³×C₁₃	1	2	yes	—
900	#102	C₂³×C₁₃	1	2	yes	—
901	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
902	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
903	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
904	#97	C₂³×C₁₃	1	2	yes	—
905	#97	C₂³×C₁₃	1	2	yes	—
906	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
907	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
908	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
909	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
910	C₄×C₈	C₂³×C₁₃	1	2	yes	—
911	C₂×C₁₃	—	2	2	no	—
912	C₂×C₁₃	—	4	2	no	—
913	C₂×C₁₃	—	4	2	no	—
914	C₂×C₁₃	—	4	2	no	—
915	C₂×C₁₃	—	8	1	no	—
916	C₂×C₁₃	—	8	2	no	—
917	C₂×C₁₃	—	8	1	no	—
918	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
919	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
920	C₂×C₁₃	#3584	1	1	yes	characteristic
921	C₂⁴	—	2	1	no	—
922	C₂⁴	—	2	2	no	—
923	C₂⁴	—	2	1	no	—
924	#41	—	2	4	no	—
925	#41	—	2	4	no	—
926	#41	—	4	2	no	—
927	#41	—	4	8	no	—
928	#41	—	4	8	no	—
929	#41	—	4	4	no	—
930	#41	—	4	4	no	—
931	#41	—	4	4	no	—
932	C₂×Q₈	—	2	2	no	—
933	C₂×Q₈	—	2	1	no	—
934	C₂×Q₈	—	2	1	no	—
935	C₂×Q₈	—	4	4	no	—
936	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
937	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	4	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	2	no	—
946	C₂×D₄	—	2	2	no	—
947	C₂×D₄	—	2	1	no	—
948	C₂×D₄	—	2	1	no	—
949	C₂×D₄	—	2	2	no	—
950	C₂×D₄	—	2	1	no	—
951	C₂×D₄	—	2	2	no	—
952	C₂×D₄	—	2	1	no	—
953	C₂×D₄	—	4	1	no	—
954	C₂×D₄	—	4	1	no	—
955	C₂×D₄	—	4	2	no	—
956	C₂×D₄	—	4	8	no	—
957	C₂×D₄	—	4	4	no	—
958	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
959	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
960	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
963	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₂²×C₄	—	2	1	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	1	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	2	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	1	no	—
975	C₂²×C₄	—	2	2	no	—
976	C₂²×C₄	—	2	2	no	—
977	C₂²×C₄	—	2	1	no	—
978	C₂²×C₄	—	2	2	no	—
979	C₂²×C₄	—	2	1	no	—
980	C₂²×C₄	—	2	2	no	—
981	C₂²×C₄	—	4	8	no	—
982	C₂²×C₄	—	4	4	no	—
983	C₂²×C₄	—	4	4	no	—
984	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
986	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
988	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
990	SD₁₆	—	2	4	no	—
991	SD₁₆	—	2	4	no	—
992	SD₁₆	—	4	2	no	—
993	SD₁₆	—	4	2	no	—
994	D₈	—	2	2	no	—
995	D₈	—	2	2	no	—
996	D₈	—	2	4	no	—
997	D₈	—	2	2	no	—
998	D₈	—	4	2	no	—
999	D₈	C₁₃×#41	1	4	yes	complemented
1000	M₁₆	—	2	4	no	—
1001	M₁₆	—	4	2	no	—
1002	C₂×C₈	—	2	2	no	—
1003	C₂×C₈	—	4	1	no	—
1004	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1005	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1006	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1007	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1008	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1009	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1010	C₄⋊C₄	—	2	1	no	—
1011	C₄⋊C₄	—	2	1	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	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	2	no	—
1023	C₄⋊C₄	—	2	1	no	—
1024	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1025	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1026	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1027	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1028	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1029	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1032	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1033	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	1	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	1	no	—
1043	C₂²⋊C₄	—	2	2	no	—
1044	C₂²⋊C₄	—	2	1	no	—
1045	C₂²⋊C₄	—	2	1	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	1	no	—
1048	C₂²⋊C₄	—	2	1	no	—
1049	C₂²⋊C₄	—	2	1	no	—
1050	C₂²⋊C₄	—	2	2	no	—
1051	C₂²⋊C₄	—	2	2	no	—
1052	C₂²⋊C₄	—	2	2	no	—
1053	C₂²⋊C₄	—	2	2	no	—
1054	C₂²⋊C₄	—	2	2	no	—
1055	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1056	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1057	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1058	C₄²	—	2	2	no	—
1059	C₄²	—	2	2	no	—
1060	C₄²	—	2	2	no	—
1061	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1062	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1063	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1064	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1065	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1066	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1067	C₄²	C₂⁴×C₁₃	1	2	yes	—
1068	C₁₃	#61437	1	1	yes	characteristic, direct product factor, Sylow
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	2	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	4	2	no	—
1075	C₂³	—	4	2	no	—
1076	C₂³	—	4	4	no	—
1077	C₂³	—	4	4	no	—
1078	C₂³	—	4	2	no	—
1079	C₂³	—	4	2	no	—
1080	C₂³	—	8	1	no	—
1081	C₂³	—	8	1	no	—
1082	C₂³	—	8	2	no	—
1083	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1084	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1085	Q₈	—	2	2	no	—
1086	Q₈	—	2	2	no	—
1087	Q₈	—	2	2	no	—
1088	Q₈	—	4	4	no	—
1089	Q₈	—	4	2	no	—
1090	Q₈	—	8	1	no	—
1091	D₄	—	2	4	no	—
1092	D₄	—	2	2	no	—
1093	D₄	—	2	1	no	—
1094	D₄	—	2	1	no	—
1095	D₄	—	2	2	no	—
1096	D₄	—	2	1	no	—
1097	D₄	—	2	1	no	—
1098	D₄	—	2	1	no	—
1099	D₄	—	2	2	no	—
1100	D₄	—	2	1	no	—
1101	D₄	—	4	4	no	—
1102	D₄	—	4	2	no	—
1103	D₄	—	4	2	no	—
1104	D₄	—	4	4	no	—
1105	D₄	—	4	4	no	—
1106	D₄	—	4	4	no	—
1107	D₄	—	4	4	no	—
1108	D₄	—	4	4	no	—
1109	D₄	—	4	2	no	—
1110	D₄	—	8	2	no	—
1111	D₄	—	8	1	no	—
1112	D₄	—	8	2	no	—
1113	D₄	C₂×C₁₃×#41	1	2	yes	—
1114	D₄	C₂×C₁₃×#41	1	2	yes	complemented
1115	C₂×C₄	—	2	4	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	2	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	4	2	no	—
1128	C₂×C₄	—	4	1	no	—
1129	C₂×C₄	—	4	4	no	—
1130	C₂×C₄	—	4	4	no	—
1131	C₂×C₄	—	4	4	no	—
1132	C₂×C₄	—	4	4	no	—
1133	C₂×C₄	—	4	2	no	—
1134	C₂×C₄	—	4	2	no	—
1135	C₂×C₄	—	4	2	no	—
1136	C₂×C₄	—	4	2	no	—
1137	C₂×C₄	—	4	2	no	—
1138	C₂×C₄	—	4	2	no	—
1139	C₂×C₄	—	4	2	no	—
1140	C₂×C₄	—	4	2	no	—
1141	C₂×C₄	—	4	2	no	—
1142	C₂×C₄	—	4	4	no	—
1143	C₂×C₄	—	4	2	no	—
1144	C₂×C₄	—	8	2	no	—
1145	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
1146	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1147	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1148	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1149	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1150	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁵×C₁₃	1	1	yes	characteristic
1155	C₈	—	2	1	no	—
1156	C₈	—	2	2	no	—
1157	C₈	—	2	1	no	—
1158	C₈	—	2	1	no	—
1159	C₈	—	2	2	no	—
1160	C₈	C₂×C₁₃×#41	1	2	yes	complemented
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	2	no	—
1166	C₂²	—	2	2	no	—
1167	C₂²	—	2	2	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	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	1	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	—	8	4	no	—
1182	C₂²	—	8	4	no	—
1183	C₂²	—	8	8	no	—
1184	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
1185	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1186	C₄	—	2	2	no	—
1187	C₄	—	2	1	no	—
1188	C₄	—	2	2	no	—
1189	C₄	—	2	1	no	—
1190	C₄	—	2	2	no	—
1191	C₄	—	2	1	no	—
1192	C₄	—	4	1	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	1	no	—
1195	C₄	—	4	2	no	—
1196	C₄	—	4	1	no	—
1197	C₄	—	4	2	no	—
1198	C₄	—	4	2	no	—
1199	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
1200	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
1201	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1202	C₄	C₁₃×#585	1	1	yes	characteristic
1203	C₂	—	2	2	no	—
1204	C₂	—	4	2	no	—
1205	C₂	—	4	2	no	—
1206	C₂	—	4	2	no	—
1207	C₂	—	8	1	no	—
1208	C₂	—	8	2	no	—
1209	C₂	—	8	1	no	—
1210	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1211	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1212	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×#3475	C₂	semidirect
2. D₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#3397	C₂	semidirect
4. C₁₃×#3384	C₂	semidirect
5. C₁₃×#3367	C₂	semidirect
6. C₁₃×#3366	C₂	semidirect
7. C₁₃×#3354	C₂	semidirect
8. C₁₃×#3343	C₂	semidirect
9. C₁₃×#3330	C₂	semidirect
10. C₁₃×#3325	C₂	semidirect
11. C₁₃×#3310	C₂	semidirect
12. C₁₃×#3306	C₂	semidirect
13. C₁₃×#3272	C₂	semidirect
14. C₁₃×#3264	C₂	semidirect
15. C₁₃×#3171	C₂	semidirect
16. C₁₃×#3167	C₂	semidirect
17. C₁₃×#3106	C₂	semidirect
18. C₁₃×#3105	C₂	semidirect
19. C₁₃×#3101	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×D₈	C₂	semidirect
27. C₁₃×#556	C₂²	semidirect
28. C₁₃×#555	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
32. C₁₃×#552	C₂²	semidirect
34. C₁₃×#550	C₂²	semidirect
35. D₄×Q₈×C₁₃	C₂²	semidirect
38. C₁₃×#547	C₂²	semidirect
39. C₁₃×#547	C₂²	semidirect
42. C₁₃×#546	C₂²	semidirect
44. D₄²×C₁₃	C₂²	semidirect
45. C₁₃×#533	C₂²	semidirect
47. C₁₃×#532	C₂²	semidirect
49. C₁₃×#529	C₂²	semidirect
54. C₄×C₁₃×#41	C₂²	semidirect
56. C₂×C₄×D₄×C₁₃	C₂²	semidirect
57. C₂×C₄×D₄×C₁₃	C₂²	semidirect
59. C₁₃×#501	C₂²	semidirect
60. C₁₃×#498	C₂²	semidirect
61. C₁₃×#496	C₂²	semidirect
62. C₁₃×#492	C₂²	semidirect
63. C₁₃×#490	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#484	C₂²	semidirect
68. C₁₃×#483	C₂²	semidirect
69. C₁₃×#482	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#481	C₂²	semidirect
72. C₁₃×#480	C₂²	semidirect
73. C₁₃×#478	C₂²	semidirect
74. C₁₃×#478	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
76. C₁₃×#476	C₂²	semidirect
77. C₁₃×#476	C₂²	semidirect
78. C₁₃×#476	C₂²	semidirect
79. C₁₃×#474	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×#465	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#461	C₂²	semidirect
90. C₁₃×#461	C₂²	semidirect
91. C₁₃×#460	C₂²	semidirect
92. C₁₃×#459	C₂²	semidirect
93. C₁₃×#459	C₂²	semidirect
94. C₁₃×#459	C₂²	semidirect
96. C₁₃×#450	C₂²	semidirect
97. C₁₃×#449	C₂²	semidirect
98. C₁₃×#449	C₂²	semidirect
100. C₁₃×#447	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#446	C₂²	semidirect
104. C₁₃×#442	C₂²	semidirect
105. C₁₃×#440	C₂²	semidirect
106. C₁₃×#440	C₂²	semidirect
107. C₄×C₁₃×SD₁₆	C₂²	semidirect
108. C₄×C₁₃×SD₁₆	C₂²	semidirect
109. C₄×C₁₃×SD₁₆	C₂²	semidirect
110. C₄×C₁₃×SD₁₆	C₂²	semidirect
115. C₄×C₁₃×D₈	C₂²	semidirect
116. C₄×C₁₃×D₈	C₂²	semidirect
117. C₄×C₁₃×D₈	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×#107	C₂²	semidirect
129. C₁₃×#418	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
132. C₂×C₁₃×#102	C₂²	semidirect
133. C₄×C₁₃×M₁₆	C₂²	semidirect
134. C₂×C₄×C₈×C₁₃	C₂²	semidirect
315. #61437	C₁₃	direct (N × H)
394. C₁₃×D₈	#41	semidirect
463. #3475	C₂×C₁₃	semidirect
464. D₄×#41	C₂×C₁₃	semidirect
465. #3397	C₂×C₁₃	semidirect
466. #3384	C₂×C₁₃	semidirect
467. #3367	C₂×C₁₃	semidirect
468. #3366	C₂×C₁₃	semidirect
469. #3354	C₂×C₁₃	semidirect
470. #3343	C₂×C₁₃	semidirect
471. #3330	C₂×C₁₃	semidirect
472. #3325	C₂×C₁₃	semidirect
473. #3310	C₂×C₁₃	semidirect
474. #3306	C₂×C₁₃	semidirect
475. #3272	C₂×C₁₃	semidirect
476. #3264	C₂×C₁₃	semidirect
477. #3171	C₂×C₁₃	semidirect
478. #3167	C₂×C₁₃	semidirect
479. #3106	C₂×C₁₃	semidirect
480. #3105	C₂×C₁₃	semidirect
481. #3101	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×D₈	C₂×C₁₃	semidirect
531. D₄×C₁₃	C₂×#41	semidirect
562. C₂×C₄×C₁₃	AGL(1,ℤ/8)	semidirect
577. C₈×C₁₃	C₂×#41	semidirect
581. #556	C₂²×C₁₃	semidirect
582. #555	C₂²×C₁₃	semidirect
583. #554	C₂²×C₁₃	semidirect
586. #552	C₂²×C₁₃	semidirect
588. #550	C₂²×C₁₃	semidirect
589. D₄×Q₈	C₂²×C₁₃	semidirect
592. #547	C₂²×C₁₃	semidirect
593. #547	C₂²×C₁₃	semidirect
596. #546	C₂²×C₁₃	semidirect
598. D₄²	C₂²×C₁₃	semidirect
599. #533	C₂²×C₁₃	semidirect
601. #532	C₂²×C₁₃	semidirect
603. #529	C₂²×C₁₃	semidirect
608. C₄×#41	C₂²×C₁₃	semidirect
610. C₂×C₄×D₄	C₂²×C₁₃	semidirect
611. C₂×C₄×D₄	C₂²×C₁₃	semidirect
613. #501	C₂²×C₁₃	semidirect
614. #498	C₂²×C₁₃	semidirect
615. #496	C₂²×C₁₃	semidirect
616. #492	C₂²×C₁₃	semidirect
617. #490	C₂²×C₁₃	semidirect
618. #489	C₂²×C₁₃	semidirect
619. #487	C₂²×C₁₃	semidirect
620. #486	C₂²×C₁₃	semidirect
621. #484	C₂²×C₁₃	semidirect
622. #483	C₂²×C₁₃	semidirect
623. #482	C₂²×C₁₃	semidirect
624. #482	C₂²×C₁₃	semidirect
625. #481	C₂²×C₁₃	semidirect
626. #480	C₂²×C₁₃	semidirect
627. #478	C₂²×C₁₃	semidirect
628. #478	C₂²×C₁₃	semidirect
629. #477	C₂²×C₁₃	semidirect
630. #476	C₂²×C₁₃	semidirect
631. #476	C₂²×C₁₃	semidirect
632. #476	C₂²×C₁₃	semidirect
633. #474	C₂²×C₁₃	semidirect
634. #474	C₂²×C₁₃	semidirect
635. #469	C₂²×C₁₃	semidirect
636. #469	C₂²×C₁₃	semidirect
637. #468	C₂²×C₁₃	semidirect
638. #468	C₂²×C₁₃	semidirect
639. #465	C₂²×C₁₃	semidirect
640. #465	C₂²×C₁₃	semidirect
642. #463	C₂²×C₁₃	semidirect
643. #461	C₂²×C₁₃	semidirect
644. #461	C₂²×C₁₃	semidirect
645. #460	C₂²×C₁₃	semidirect
646. #459	C₂²×C₁₃	semidirect
647. #459	C₂²×C₁₃	semidirect
648. #459	C₂²×C₁₃	semidirect
650. #450	C₂²×C₁₃	semidirect
651. #449	C₂²×C₁₃	semidirect
652. #449	C₂²×C₁₃	semidirect
654. #447	C₂²×C₁₃	semidirect
655. #446	C₂²×C₁₃	semidirect
656. #446	C₂²×C₁₃	semidirect
658. #442	C₂²×C₁₃	semidirect
659. #440	C₂²×C₁₃	semidirect
660. #440	C₂²×C₁₃	semidirect
661. C₄×SD₁₆	C₂²×C₁₃	semidirect
662. C₄×SD₁₆	C₂²×C₁₃	semidirect
663. C₄×SD₁₆	C₂²×C₁₃	semidirect
664. C₄×SD₁₆	C₂²×C₁₃	semidirect
669. C₄×D₈	C₂²×C₁₃	semidirect
670. C₄×D₈	C₂²×C₁₃	semidirect
671. C₄×D₈	C₂²×C₁₃	semidirect
672. C₄×D₈	C₂²×C₁₃	semidirect
673. C₄×D₈	C₂²×C₁₃	semidirect
674. C₄×D₈	C₂²×C₁₃	semidirect
675. #436	C₂²×C₁₃	semidirect
676. #436	C₂²×C₁₃	semidirect
677. #435	C₂²×C₁₃	semidirect
678. #435	C₂²×C₁₃	semidirect
679. #431	C₂²×C₁₃	semidirect
680. #431	C₂²×C₁₃	semidirect
681. #428	C₂²×C₁₃	semidirect
682. C₂×#107	C₂²×C₁₃	semidirect
683. #418	C₂²×C₁₃	semidirect
684. #417	C₂²×C₁₃	semidirect
686. C₂×#102	C₂²×C₁₃	semidirect
687. C₄×M₁₆	C₂²×C₁₃	semidirect
688. C₂×C₄×C₈	C₂²×C₁₃	semidirect
999. D₈	C₁₃×#41	semidirect
1068. C₁₃	#61437	direct (N × H)
1114. D₄	C₂×C₁₃×#41	semidirect
1145. C₂×C₄	C₁₃×AGL(1,ℤ/8)	semidirect
1160. 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×#3475	2
D₄×C₁₃×#41	2
C₁₃×#3397	2
C₁₃×#3384	2
C₁₃×#3367	2
C₁₃×#3366	2
C₁₃×#3354	2
C₁₃×#3343	2
C₁₃×#3330	2
C₁₃×#3325	2
C₁₃×#3310	2
C₁₃×#3306	2
C₁₃×#3272	2
C₁₃×#3264	2
C₁₃×#3171	2
C₁₃×#3167	2
C₁₃×#3106	2
C₁₃×#3105	2
C₁₃×#3101	2
C₁₃×#3100	2
C₁₃×#2965	2
C₄×C₁₃×AGL(1,ℤ/8)	2
C₂×C₄×C₁₃×D₈	2
#61437	13

Subgroups — C13×#61437 #15747776

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61437 #15747776