Subgroups — C₁₃×#61449 #15747788

Order 3328.

1958 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3483	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3347	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3268	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	1	yes	maximal, characteristic, complemented
18	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3102	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3100	C₂	1	2	yes	maximal, 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	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
26	C₁₃×#559	C₂²	1	1	yes	characteristic
27	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#555	—	2	1	no	—
29	C₁₃×#555	—	2	2	no	—
30	C₁₃×#555	C₂²	1	1	yes	characteristic
31	C₁₃×#555	C₂²	1	2	yes	complemented
32	C₁₃×#554	C₂²	1	1	yes	characteristic
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	C₂²	1	2	yes	—
36	C₁₃×#551	—	2	2	no	—
37	C₁₃×#550	—	2	1	no	—
38	C₁₃×#550	C₂²	1	1	yes	characteristic
39	C₁₃×#550	C₂²	1	2	yes	complemented
40	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#546	C₂²	1	2	yes	—
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#532	—	2	1	no	—
45	C₁₃×#532	—	2	2	no	—
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	2	yes	complemented
48	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	—	2	1	no	—
50	C₁₃×#529	C₂²	1	2	yes	—
51	C₁₃×#525	—	2	2	no	—
52	C₄×C₁₃×#41	—	2	1	no	—
53	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
56	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×D₄×C₁₃	—	2	1	no	—
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
63	C₁₃×#490	C₂²	1	2	yes	complemented
64	C₁₃×#489	C₂²	1	2	yes	complemented
65	C₁₃×#486	C₂²	1	1	yes	characteristic
66	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#482	C₂²	1	2	yes	—
69	C₁₃×#482	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×#479	C₂²	1	2	yes	complemented
74	C₁₃×#478	C₂²	1	2	yes	complemented
75	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#476	C₂²	1	1	yes	characteristic
78	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#474	C₂²	1	2	yes	—
80	C₁₃×#474	C₂²	1	2	yes	complemented
81	C₁₃×#469	C₂²	1	2	yes	—
82	C₁₃×#469	C₂²	1	2	yes	—
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×#464	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#460	C₂²	1	1	yes	characteristic
90	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#459	C₂²	1	2	yes	—
92	C₁₃×#459	C₂²	1	1	yes	characteristic
93	C₁₃×#459	C₂²	1	1	yes	characteristic
94	C₁₃×#459	C₂²	1	2	yes	complemented
95	C₁₃×#452	C₂²	1	2	yes	complemented
96	C₁₃×#449	C₂²	1	2	yes	—
97	C₁₃×#449	C₂²	1	2	yes	—
98	C₁₃×#449	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×Q₁₆	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
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	2	yes	complemented
113	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
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
122	C₁₃×#436	C₂²	1	1	yes	characteristic
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₁₃×#431	C₂²	1	2	yes	complemented
126	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#428	C₂²	1	2	yes	complemented
128	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#418	C₂²	1	2	yes	—
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#416	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	1	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₃	—	2	2	no	—
146	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
147	C₁₃×#135	—	2	4	no	—
148	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
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	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
160	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
161	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	—	2	2	no	—
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×#127	—	2	1	no	—
168	C₁₃×#127	—	2	2	no	—
169	C₁₃×#127	C₂³	1	2	yes	—
170	C₁₃×#127	C₂³	1	1	yes	characteristic
171	C₁₃×#127	C₂³	1	1	yes	characteristic
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	C₂³	1	2	yes	—
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	1	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×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
192	C₁₃×#121	—	2	2	no	—
193	C₁₃×#121	—	2	1	no	—
194	C₁₃×#121	—	2	2	no	—
195	C₁₃×#121	—	2	1	no	—
196	C₁₃×#121	—	2	1	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	1	no	—
199	C₁₃×#121	—	2	1	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	C₂³	1	2	yes	—
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#121	C₂³	1	2	yes	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#120	—	2	2	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₄×Q₈×C₁₃	—	2	1	no	—
213	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
214	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
215	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
216	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
218	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₄×D₄×C₁₃	—	2	1	no	—
221	C₄×D₄×C₁₃	—	2	2	no	—
222	C₄×D₄×C₁₃	—	2	1	no	—
223	C₄×D₄×C₁₃	—	2	1	no	—
224	C₄×D₄×C₁₃	—	2	2	no	—
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	1	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	2	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
238	C₄×D₄×C₁₃	D₄	1	2	yes	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	2	no	—
252	C₁₃×#117	—	2	1	no	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	D₄	1	2	yes	—
257	C₁₃×#117	D₄	1	1	yes	characteristic
258	C₁₃×#117	C₂³	1	1	yes	characteristic
259	C₁₃×#117	C₂³	1	1	yes	characteristic
260	C₁₃×#117	C₂³	1	2	yes	—
261	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₄²×C₁₃	—	2	1	no	—
266	C₂×C₄²×C₁₃	—	2	1	no	—
267	C₂×C₄²×C₁₃	—	2	2	no	—
268	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	1	yes	characteristic
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×#103	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	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
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	2	yes	—
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×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	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
314	#61449	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂⁴×C₁₃	—	2	2	no	—
316	C₁₃×#41	—	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	—	4	1	no	—
322	C₁₃×#41	—	4	2	no	—
323	C₁₃×#41	—	4	4	no	—
324	C₁₃×#41	—	8	4	no	—
325	C₁₃×#41	—	8	2	no	—
326	C₁₃×#41	—	8	2	no	—
327	C₂×Q₈×C₁₃	—	2	1	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	2	1	no	—
330	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	1	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	2	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	1	no	—
347	C₂×D₄×C₁₃	—	2	2	no	—
348	C₂×D₄×C₁₃	—	2	1	no	—
349	C₂×D₄×C₁₃	—	4	2	no	—
350	C₂×D₄×C₁₃	—	4	4	no	—
351	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
353	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
354	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	1	no	—
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	1	no	—
365	C₂²×C₄×C₁₃	—	2	1	no	—
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	2	2	no	—
368	C₂²×C₄×C₁₃	—	2	2	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	—	8	4	no	—
371	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
373	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₁₃×Q₁₆	—	2	2	no	—
378	C₁₃×SD₁₆	—	2	4	no	—
379	C₁₃×SD₁₆	—	2	2	no	—
380	C₁₃×SD₁₆	—	4	2	no	—
381	C₁₃×SD₁₆	#41	1	4	yes	complemented
382	C₁₃×D₈	—	2	2	no	—
383	C₁₃×D₈	—	2	4	no	—
384	C₁₃×D₈	—	2	4	no	—
385	C₁₃×D₈	—	4	2	no	—
386	C₁₃×D₈	—	4	2	no	—
387	C₁₃×M₁₆	—	2	4	no	—
388	C₁₃×M₁₆	—	4	2	no	—
389	C₂×C₈×C₁₃	—	2	2	no	—
390	C₂×C₈×C₁₃	—	4	1	no	—
391	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
395	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
396	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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×C₄⋊C₄	C₂⁴	1	2	yes	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
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	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	1	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	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	—	2	1	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	—	2	1	no	—
448	C₄²×C₁₃	—	2	1	no	—
449	C₄²×C₁₃	—	2	1	no	—
450	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
451	C₄²×C₁₃	C₂×D₄	1	2	yes	—
452	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂×D₄	1	2	yes	—
454	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₃	C₂⁴	1	2	yes	—
456	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
457	#3483	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3481	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3385	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3357	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3347	C₂×C₁₃	1	2	yes	complemented
465	#3333	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3325	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3319	C₂×C₁₃	1	2	yes	complemented
468	#3309	C₂×C₁₃	1	2	yes	complemented
469	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3268	C₂×C₁₃	1	2	yes	complemented
471	#3171	C₂×C₁₃	1	2	yes	complemented
472	#3169	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3102	C₂×C₁₃	1	2	yes	complemented
476	#3100	C₂×C₁₃	1	2	yes	complemented
477	#2965	C₂×C₁₃	1	1	yes	characteristic, complemented
478	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	2	yes	complemented
479	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
480	C₂³×C₁₃	—	2	1	no	—
481	C₂³×C₁₃	—	2	2	no	—
482	C₂³×C₁₃	—	2	2	no	—
483	C₂³×C₁₃	—	2	1	no	—
484	C₂³×C₁₃	—	4	4	no	—
485	C₂³×C₁₃	—	4	4	no	—
486	C₂³×C₁₃	—	8	2	no	—
487	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
488	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
489	Q₈×C₁₃	—	2	2	no	—
490	Q₈×C₁₃	—	2	1	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	2	1	no	—
493	Q₈×C₁₃	—	8	2	no	—
494	Q₈×C₁₃	—	8	1	no	—
495	Q₈×C₁₃	—	8	1	no	—
496	Q₈×C₁₃	C₂×#41	1	2	yes	—
497	D₄×C₁₃	—	2	2	no	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	2	2	no	—
500	D₄×C₁₃	—	2	1	no	—
501	D₄×C₁₃	—	2	1	no	—
502	D₄×C₁₃	—	2	2	no	—
503	D₄×C₁₃	—	2	1	no	—
504	D₄×C₁₃	—	2	2	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	4	4	no	—
507	D₄×C₁₃	—	4	2	no	—
508	D₄×C₁₃	—	4	4	no	—
509	D₄×C₁₃	—	4	4	no	—
510	D₄×C₁₃	—	4	2	no	—
511	D₄×C₁₃	—	4	4	no	—
512	D₄×C₁₃	—	4	2	no	—
513	D₄×C₁₃	—	4	2	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	1	no	—
516	D₄×C₁₃	—	8	1	no	—
517	D₄×C₁₃	—	8	2	no	—
518	D₄×C₁₃	—	8	2	no	—
519	D₄×C₁₃	—	8	2	no	—
520	D₄×C₁₃	—	8	2	no	—
521	D₄×C₁₃	C₂×#41	1	2	yes	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	4	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	2	1	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	2	no	—
536	C₂×C₄×C₁₃	—	2	2	no	—
537	C₂×C₄×C₁₃	—	4	2	no	—
538	C₂×C₄×C₁₃	—	4	2	no	—
539	C₂×C₄×C₁₃	—	4	4	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	4	4	no	—
542	C₂×C₄×C₁₃	—	4	2	no	—
543	C₂×C₄×C₁₃	—	4	2	no	—
544	C₂×C₄×C₁₃	—	4	2	no	—
545	C₂×C₄×C₁₃	—	4	4	no	—
546	C₂×C₄×C₁₃	—	4	2	no	—
547	C₂×C₄×C₁₃	—	4	4	no	—
548	C₂×C₄×C₁₃	—	8	2	no	—
549	C₂×C₄×C₁₃	—	8	2	no	—
550	C₂×C₄×C₁₃	—	8	2	no	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
554	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
555	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
556	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
557	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
558	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
559	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
560	C₈×C₁₃	—	2	1	no	—
561	C₈×C₁₃	—	2	2	no	—
562	C₈×C₁₃	—	2	1	no	—
563	C₈×C₁₃	—	2	1	no	—
564	C₈×C₁₃	—	2	2	no	—
565	C₈×C₁₃	C₂×#41	1	2	yes	—
566	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
567	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
568	#559	C₂²×C₁₃	1	1	yes	characteristic
569	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
570	#555	—	2	1	no	—
571	#555	—	2	2	no	—
572	#555	C₂²×C₁₃	1	1	yes	characteristic
573	#555	C₂²×C₁₃	1	2	yes	complemented
574	#554	C₂²×C₁₃	1	1	yes	characteristic
575	#554	C₂²×C₁₃	1	1	yes	characteristic
576	#553	—	2	1	no	—
577	#553	C₂²×C₁₃	1	2	yes	—
578	#551	—	2	2	no	—
579	#550	—	2	1	no	—
580	#550	C₂²×C₁₃	1	1	yes	characteristic
581	#550	C₂²×C₁₃	1	2	yes	complemented
582	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#546	—	2	1	no	—
584	#546	C₂²×C₁₃	1	2	yes	—
585	D₄²	C₂²×C₁₃	1	1	yes	characteristic
586	#532	—	2	1	no	—
587	#532	—	2	2	no	—
588	#532	C₂²×C₁₃	1	1	yes	characteristic
589	#532	C₂²×C₁₃	1	2	yes	complemented
590	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#529	—	2	1	no	—
592	#529	C₂²×C₁₃	1	2	yes	—
593	#525	—	2	2	no	—
594	C₄×#41	—	2	1	no	—
595	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
596	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
597	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
598	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	C₂×C₄×D₄	—	2	1	no	—
600	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
601	#501	C₂²×C₁₃	1	2	yes	complemented
602	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#496	C₂²×C₁₃	1	2	yes	complemented
604	#493	C₂²×C₁₃	1	1	yes	characteristic
605	#490	C₂²×C₁₃	1	2	yes	complemented
606	#489	C₂²×C₁₃	1	2	yes	complemented
607	#486	C₂²×C₁₃	1	1	yes	characteristic
608	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#485	C₂²×C₁₃	1	2	yes	complemented
610	#482	C₂²×C₁₃	1	2	yes	—
611	#482	C₂²×C₁₃	1	2	yes	complemented
612	#482	C₂²×C₁₃	1	2	yes	complemented
613	#480	C₂²×C₁₃	1	2	yes	complemented
614	#480	C₂²×C₁₃	1	2	yes	complemented
615	#479	C₂²×C₁₃	1	2	yes	complemented
616	#478	C₂²×C₁₃	1	2	yes	complemented
617	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#476	C₂²×C₁₃	1	1	yes	characteristic
620	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#474	C₂²×C₁₃	1	2	yes	—
622	#474	C₂²×C₁₃	1	2	yes	complemented
623	#469	C₂²×C₁₃	1	2	yes	—
624	#469	C₂²×C₁₃	1	2	yes	—
625	#468	C₂²×C₁₃	1	2	yes	complemented
626	#468	C₂²×C₁₃	1	2	yes	complemented
627	#466	C₂²×C₁₃	1	2	yes	complemented
628	#466	C₂²×C₁₃	1	2	yes	complemented
629	#464	C₂²×C₁₃	1	2	yes	complemented
630	#463	C₂²×C₁₃	1	2	yes	complemented
631	#460	C₂²×C₁₃	1	1	yes	characteristic
632	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#459	C₂²×C₁₃	1	2	yes	—
634	#459	C₂²×C₁₃	1	1	yes	characteristic
635	#459	C₂²×C₁₃	1	1	yes	characteristic
636	#459	C₂²×C₁₃	1	2	yes	complemented
637	#452	C₂²×C₁₃	1	2	yes	complemented
638	#449	C₂²×C₁₃	1	2	yes	—
639	#449	C₂²×C₁₃	1	2	yes	—
640	#449	C₂²×C₁₃	1	2	yes	complemented
641	#447	C₂²×C₁₃	1	2	yes	—
642	#447	C₂²×C₁₃	1	2	yes	—
643	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	#442	C₂²×C₁₃	1	2	yes	—
646	#442	C₂²×C₁₃	1	2	yes	complemented
647	#440	C₂²×C₁₃	1	2	yes	—
648	#440	C₂²×C₁₃	1	2	yes	complemented
649	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
652	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
653	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
655	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
656	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
658	C₄×D₈	C₂²×C₁₃	1	2	yes	—
659	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
660	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
661	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
662	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
663	#436	C₂²×C₁₃	1	1	yes	characteristic
664	#436	C₂²×C₁₃	1	1	yes	characteristic
665	#435	C₂²×C₁₃	1	2	yes	complemented
666	#435	C₂²×C₁₃	1	2	yes	complemented
667	#431	C₂²×C₁₃	1	2	yes	complemented
668	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	#428	C₂²×C₁₃	1	2	yes	complemented
670	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	#418	C₂²×C₁₃	1	2	yes	—
672	#417	C₂²×C₁₃	1	2	yes	complemented
673	#416	C₂²×C₁₃	1	1	yes	characteristic
674	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	C₄×M₁₆	C₂²×C₁₃	1	2	yes	complemented
676	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	C₂²×C₁₃	—	2	1	no	—
678	C₂²×C₁₃	—	2	2	no	—
679	C₂²×C₁₃	—	2	2	no	—
680	C₂²×C₁₃	—	2	1	no	—
681	C₂²×C₁₃	—	2	2	no	—
682	C₂²×C₁₃	—	2	2	no	—
683	C₂²×C₁₃	—	2	1	no	—
684	C₂²×C₁₃	—	4	1	no	—
685	C₂²×C₁₃	—	4	1	no	—
686	C₂²×C₁₃	—	4	2	no	—
687	C₂²×C₁₃	—	4	1	no	—
688	C₂²×C₁₃	—	4	2	no	—
689	C₂²×C₁₃	—	4	2	no	—
690	C₂²×C₁₃	—	4	1	no	—
691	C₂²×C₁₃	—	4	2	no	—
692	C₂²×C₁₃	—	4	2	no	—
693	C₂²×C₁₃	—	4	1	no	—
694	C₂²×C₁₃	—	4	2	no	—
695	C₂²×C₁₃	—	8	8	no	—
696	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
697	C₄×C₁₃	—	2	1	no	—
698	C₄×C₁₃	—	2	2	no	—
699	C₄×C₁₃	—	2	2	no	—
700	C₄×C₁₃	—	2	1	no	—
701	C₄×C₁₃	—	2	2	no	—
702	C₄×C₁₃	—	2	2	no	—
703	C₄×C₁₃	—	2	1	no	—
704	C₄×C₁₃	—	4	1	no	—
705	C₄×C₁₃	—	4	1	no	—
706	C₄×C₁₃	—	4	1	no	—
707	C₄×C₁₃	—	4	1	no	—
708	C₄×C₁₃	—	4	2	no	—
709	C₄×C₁₃	—	4	1	no	—
710	C₄×C₁₃	—	4	2	no	—
711	C₄×C₁₃	#575	1	2	yes	—
712	C₄×C₁₃	#576	1	2	yes	—
713	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
714	C₄×C₁₃	#585	1	1	yes	characteristic
715	C₂×#41	—	2	1	no	—
716	C₂×#41	—	2	1	no	—
717	C₂×#41	—	2	2	no	—
718	C₂×#41	—	2	1	no	—
719	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
720	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×#41	C₂³×C₁₃	1	2	yes	—
722	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
723	C₂²×D₄	—	2	1	no	—
724	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
725	C₂³×C₄	—	2	2	no	—
726	AGL(1,ℤ/8)	—	2	8	no	—
727	#135	—	2	4	no	—
728	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
730	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
731	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
732	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
734	C₂×D₈	C₂³×C₁₃	1	2	yes	—
735	C₂×D₈	C₂³×C₁₃	1	2	yes	—
736	C₂×D₈	C₂³×C₁₃	1	2	yes	—
737	C₂×D₈	C₂³×C₁₃	1	2	yes	—
738	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
739	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
740	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
741	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
742	C₄⋊Q₈	—	2	1	no	—
743	C₄⋊Q₈	—	2	2	no	—
744	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
745	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
746	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
747	#127	—	2	1	no	—
748	#127	—	2	2	no	—
749	#127	C₂³×C₁₃	1	1	yes	characteristic
750	#127	C₂³×C₁₃	1	1	yes	characteristic
751	#127	C₂³×C₁₃	1	2	yes	—
752	#126	—	2	2	no	—
753	#126	—	2	2	no	—
754	#125	—	2	1	no	—
755	#125	C₂³×C₁₃	1	2	yes	—
756	#124	—	2	1	no	—
757	#124	—	2	2	no	—
758	#124	—	2	2	no	—
759	#124	—	2	2	no	—
760	#124	—	2	1	no	—
761	#124	—	2	1	no	—
762	#124	—	2	2	no	—
763	#124	C₂³×C₁₃	1	2	yes	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	C₂²⋊Q₈	—	2	1	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
772	#121	—	2	2	no	—
773	#121	—	2	1	no	—
774	#121	—	2	2	no	—
775	#121	—	2	1	no	—
776	#121	—	2	1	no	—
777	#121	—	2	2	no	—
778	#121	—	2	1	no	—
779	#121	—	2	1	no	—
780	#121	—	2	2	no	—
781	#121	—	2	2	no	—
782	#121	—	2	2	no	—
783	#121	—	2	2	no	—
784	#121	—	2	2	no	—
785	#121	C₂³×C₁₃	1	2	yes	—
786	#121	C₂³×C₁₃	1	2	yes	—
787	#121	C₂³×C₁₃	1	2	yes	—
788	#121	C₂³×C₁₃	1	2	yes	—
789	#121	C₂³×C₁₃	1	2	yes	—
790	#120	—	2	2	no	—
791	#120	—	2	2	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
794	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
799	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	2	no	—
814	C₄×D₄	—	2	2	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	2	no	—
817	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
818	C₄×D₄	D₄×C₁₃	1	2	yes	—
819	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₄×D₄	C₂³×C₁₃	1	2	yes	—
821	C₄×D₄	C₂³×C₁₃	1	2	yes	—
822	C₄×D₄	C₂³×C₁₃	1	2	yes	—
823	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
824	C₄×D₄	C₂³×C₁₃	1	2	yes	—
825	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
826	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
827	C₄×D₄	C₂³×C₁₃	1	2	yes	—
828	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
829	C₄×D₄	C₂³×C₁₃	1	2	yes	—
830	#117	—	2	1	no	—
831	#117	—	2	2	no	—
832	#117	—	2	1	no	—
833	#117	—	2	1	no	—
834	#117	—	2	2	no	—
835	#117	—	2	2	no	—
836	#117	D₄×C₁₃	1	2	yes	—
837	#117	D₄×C₁₃	1	1	yes	characteristic
838	#117	C₂³×C₁₃	1	1	yes	characteristic
839	#117	C₂³×C₁₃	1	2	yes	—
840	#117	C₂³×C₁₃	1	1	yes	characteristic
841	C₂×C₄⋊C₄	—	2	1	no	—
842	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
843	C₂×C₂²⋊C₄	—	2	2	no	—
844	C₂×C₂²⋊C₄	—	2	2	no	—
845	C₂×C₄²	—	2	1	no	—
846	C₂×C₄²	—	2	1	no	—
847	C₂×C₄²	—	2	2	no	—
848	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
849	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
850	#107	C₂³×C₁₃	1	1	yes	characteristic
851	#107	C₂³×C₁₃	1	1	yes	characteristic
852	#107	C₂³×C₁₃	1	2	yes	—
853	#107	C₂³×C₁₃	1	2	yes	—
854	#107	C₂³×C₁₃	1	2	yes	—
855	#107	C₂³×C₁₃	1	2	yes	—
856	#106	C₂³×C₁₃	1	1	yes	characteristic
857	#106	C₂³×C₁₃	1	1	yes	characteristic
858	#106	C₂³×C₁₃	1	2	yes	—
859	#106	C₂³×C₁₃	1	2	yes	—
860	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
861	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
862	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
864	#103	C₂³×C₁₃	1	1	yes	characteristic
865	#103	C₂³×C₁₃	1	1	yes	characteristic
866	#103	C₂³×C₁₃	1	1	yes	characteristic
867	#103	C₂³×C₁₃	1	1	yes	characteristic
868	#103	C₂³×C₁₃	1	2	yes	—
869	#103	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	1	yes	characteristic
871	#102	C₂³×C₁₃	1	1	yes	characteristic
872	#102	C₂³×C₁₃	1	1	yes	characteristic
873	#102	C₂³×C₁₃	1	1	yes	characteristic
874	#102	C₂³×C₁₃	1	2	yes	—
875	#102	C₂³×C₁₃	1	2	yes	—
876	#102	C₂³×C₁₃	1	2	yes	—
877	#102	C₂³×C₁₃	1	2	yes	—
878	#102	C₂³×C₁₃	1	2	yes	—
879	#102	C₂³×C₁₃	1	2	yes	—
880	#102	C₂³×C₁₃	1	2	yes	—
881	#102	C₂³×C₁₃	1	2	yes	—
882	#102	C₂³×C₁₃	1	2	yes	—
883	#102	C₂³×C₁₃	1	2	yes	—
884	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
885	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
886	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
887	#97	C₂³×C₁₃	1	2	yes	—
888	#97	C₂³×C₁₃	1	2	yes	—
889	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
890	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
891	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
892	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
893	C₄×C₈	C₂³×C₁₃	1	2	yes	—
894	C₂×C₁₃	—	4	1	no	—
895	C₂×C₁₃	—	4	2	no	—
896	C₂×C₁₃	—	4	2	no	—
897	C₂×C₁₃	—	8	2	no	—
898	C₂×C₁₃	—	8	1	no	—
899	C₂×C₁₃	—	8	2	no	—
900	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
901	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
902	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
903	C₂⁴	—	2	2	no	—
904	#41	—	2	2	no	—
905	#41	—	2	4	no	—
906	#41	—	2	2	no	—
907	#41	—	4	2	no	—
908	#41	—	4	1	no	—
909	#41	—	4	1	no	—
910	#41	—	4	2	no	—
911	#41	—	4	4	no	—
912	#41	—	8	4	no	—
913	#41	—	8	2	no	—
914	#41	—	8	2	no	—
915	C₂×Q₈	—	2	1	no	—
916	C₂×Q₈	—	2	2	no	—
917	C₂×Q₈	—	2	1	no	—
918	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
919	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
920	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
921	C₂×D₄	—	2	4	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	1	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	1	no	—
934	C₂×D₄	—	2	1	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	1	no	—
937	C₂×D₄	—	4	2	no	—
938	C₂×D₄	—	4	4	no	—
939	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
940	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
941	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
942	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
943	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	1	no	—
948	C₂²×C₄	—	2	1	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	1	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	2	no	—
955	C₂²×C₄	—	2	2	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	8	4	no	—
959	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
960	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
961	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
963	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
964	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
965	Q₁₆	—	2	2	no	—
966	SD₁₆	—	2	4	no	—
967	SD₁₆	—	2	2	no	—
968	SD₁₆	—	4	2	no	—
969	SD₁₆	C₁₃×#41	1	4	yes	complemented
970	D₈	—	2	2	no	—
971	D₈	—	2	4	no	—
972	D₈	—	2	4	no	—
973	D₈	—	4	2	no	—
974	D₈	—	4	2	no	—
975	M₁₆	—	2	4	no	—
976	M₁₆	—	4	2	no	—
977	C₂×C₈	—	2	2	no	—
978	C₂×C₈	—	4	1	no	—
979	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
982	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
983	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
984	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
999	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1000	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1001	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1002	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1005	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1006	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	1	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	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	1	no	—
1023	C₂²⋊C₄	—	2	1	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
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	2	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	2	1	no	—
1036	C₄²	—	2	2	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1039	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1040	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1041	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1042	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1043	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1044	C₄²	C₂⁴×C₁₃	1	2	yes	—
1045	C₁₃	#61449	1	1	yes	characteristic, direct product factor, Sylow
1046	C₂³	—	2	1	no	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	1	no	—
1050	C₂³	—	4	4	no	—
1051	C₂³	—	4	4	no	—
1052	C₂³	—	8	2	no	—
1053	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1054	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1055	Q₈	—	2	2	no	—
1056	Q₈	—	2	1	no	—
1057	Q₈	—	2	1	no	—
1058	Q₈	—	2	1	no	—
1059	Q₈	—	8	2	no	—
1060	Q₈	—	8	1	no	—
1061	Q₈	—	8	1	no	—
1062	Q₈	C₂×C₁₃×#41	1	2	yes	—
1063	D₄	—	2	2	no	—
1064	D₄	—	2	2	no	—
1065	D₄	—	2	2	no	—
1066	D₄	—	2	1	no	—
1067	D₄	—	2	1	no	—
1068	D₄	—	2	2	no	—
1069	D₄	—	2	1	no	—
1070	D₄	—	2	2	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	4	no	—
1073	D₄	—	4	2	no	—
1074	D₄	—	4	4	no	—
1075	D₄	—	4	4	no	—
1076	D₄	—	4	2	no	—
1077	D₄	—	4	4	no	—
1078	D₄	—	4	2	no	—
1079	D₄	—	4	2	no	—
1080	D₄	—	8	2	no	—
1081	D₄	—	8	1	no	—
1082	D₄	—	8	1	no	—
1083	D₄	—	8	2	no	—
1084	D₄	—	8	2	no	—
1085	D₄	—	8	2	no	—
1086	D₄	—	8	2	no	—
1087	D₄	C₂×C₁₃×#41	1	2	yes	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	4	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	4	2	no	—
1104	C₂×C₄	—	4	2	no	—
1105	C₂×C₄	—	4	4	no	—
1106	C₂×C₄	—	4	2	no	—
1107	C₂×C₄	—	4	4	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	8	2	no	—
1115	C₂×C₄	—	8	2	no	—
1116	C₂×C₄	—	8	2	no	—
1117	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1118	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1119	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1120	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1121	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1122	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1123	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1124	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1125	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1126	C₈	—	2	1	no	—
1127	C₈	—	2	2	no	—
1128	C₈	—	2	1	no	—
1129	C₈	—	2	1	no	—
1130	C₈	—	2	2	no	—
1131	C₈	C₂×C₁₃×#41	1	2	yes	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	2	no	—
1134	C₂²	—	2	2	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	2	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	4	1	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	2	no	—
1142	C₂²	—	4	1	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	8	8	no	—
1151	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1152	C₄	—	2	1	no	—
1153	C₄	—	2	2	no	—
1154	C₄	—	2	2	no	—
1155	C₄	—	2	1	no	—
1156	C₄	—	2	1	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	4	1	no	—
1160	C₄	—	4	1	no	—
1161	C₄	—	4	1	no	—
1162	C₄	—	4	2	no	—
1163	C₄	—	4	1	no	—
1164	C₄	—	4	2	no	—
1165	C₄	—	4	1	no	—
1166	C₄	C₁₃×#575	1	2	yes	—
1167	C₄	C₁₃×#576	1	2	yes	—
1168	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1169	C₄	C₁₃×#585	1	1	yes	characteristic
1170	C₂	—	4	2	no	—
1171	C₂	—	4	1	no	—
1172	C₂	—	4	2	no	—
1173	C₂	—	8	2	no	—
1174	C₂	—	8	2	no	—
1175	C₂	—	8	1	no	—
1176	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1177	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1178	C₂	C₂×C₁₃×#576	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×#3483	C₂	semidirect
2. C₁₃×#3481	C₂	semidirect
3. C₁₃×#3399	C₂	semidirect
4. C₁₃×#3385	C₂	semidirect
5. C₁₃×#3375	C₂	semidirect
6. C₁₃×#3366	C₂	semidirect
7. C₁₃×#3357	C₂	semidirect
8. C₁₃×#3347	C₂	semidirect
9. C₁₃×#3333	C₂	semidirect
10. C₁₃×#3325	C₂	semidirect
11. C₁₃×#3319	C₂	semidirect
12. C₁₃×#3309	C₂	semidirect
13. C₁₃×#3274	C₂	semidirect
14. C₁₃×#3268	C₂	semidirect
15. C₁₃×#3171	C₂	semidirect
16. C₁₃×#3169	C₂	semidirect
17. C₁₃×#3106	C₂	semidirect
18. C₁₃×#3106	C₂	semidirect
19. C₁₃×#3102	C₂	semidirect
20. C₁₃×#3100	C₂	semidirect
21. C₁₃×#2965	C₂	semidirect
22. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
23. C₄×C₁₃×#135	C₂	semidirect
27. Q₈²×C₁₃	C₂²	semidirect
31. C₁₃×#555	C₂²	semidirect
39. C₁₃×#550	C₂²	semidirect
40. C₁₃×#550	C₂²	semidirect
47. C₁₃×#532	C₂²	semidirect
48. C₁₃×#532	C₂²	semidirect
55. C₄×C₁₃×#41	C₂²	semidirect
56. C₄×C₁₃×#41	C₂²	semidirect
59. C₁₃×#501	C₂²	semidirect
60. C₁₃×#500	C₂²	semidirect
61. C₁₃×#496	C₂²	semidirect
63. C₁₃×#490	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
69. C₁₃×#482	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#480	C₂²	semidirect
72. C₁₃×#480	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
74. C₁₃×#478	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
76. C₁₃×#477	C₂²	semidirect
78. C₁₃×#476	C₂²	semidirect
80. C₁₃×#474	C₂²	semidirect
83. C₁₃×#468	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#466	C₂²	semidirect
86. C₁₃×#466	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
90. C₁₃×#460	C₂²	semidirect
94. C₁₃×#459	C₂²	semidirect
95. C₁₃×#452	C₂²	semidirect
98. C₁₃×#449	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#446	C₂²	semidirect
104. C₁₃×#442	C₂²	semidirect
106. C₁₃×#440	C₂²	semidirect
107. C₄×C₁₃×Q₁₆	C₂²	semidirect
108. C₄×C₁₃×Q₁₆	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
118. C₄×C₁₃×D₈	C₂²	semidirect
119. C₄×C₁₃×D₈	C₂²	semidirect
120. C₄×C₁₃×D₈	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. C₁₃×#427	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
132. C₁₃×#416	C₂²	semidirect
133. C₄×C₁₃×M₁₆	C₂²	semidirect
134. C₂×C₄×C₈×C₁₃	C₂²	semidirect
314. #61449	C₁₃	direct (N × H)
381. C₁₃×SD₁₆	#41	semidirect
457. #3483	C₂×C₁₃	semidirect
458. #3481	C₂×C₁₃	semidirect
459. #3399	C₂×C₁₃	semidirect
460. #3385	C₂×C₁₃	semidirect
461. #3375	C₂×C₁₃	semidirect
462. #3366	C₂×C₁₃	semidirect
463. #3357	C₂×C₁₃	semidirect
464. #3347	C₂×C₁₃	semidirect
465. #3333	C₂×C₁₃	semidirect
466. #3325	C₂×C₁₃	semidirect
467. #3319	C₂×C₁₃	semidirect
468. #3309	C₂×C₁₃	semidirect
469. #3274	C₂×C₁₃	semidirect
470. #3268	C₂×C₁₃	semidirect
471. #3171	C₂×C₁₃	semidirect
472. #3169	C₂×C₁₃	semidirect
473. #3106	C₂×C₁₃	semidirect
474. #3106	C₂×C₁₃	semidirect
475. #3102	C₂×C₁₃	semidirect
476. #3100	C₂×C₁₃	semidirect
477. #2965	C₂×C₁₃	semidirect
478. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
479. C₄×#135	C₂×C₁₃	semidirect
569. Q₈²	C₂²×C₁₃	semidirect
573. #555	C₂²×C₁₃	semidirect
581. #550	C₂²×C₁₃	semidirect
582. #550	C₂²×C₁₃	semidirect
589. #532	C₂²×C₁₃	semidirect
590. #532	C₂²×C₁₃	semidirect
597. C₄×#41	C₂²×C₁₃	semidirect
598. C₄×#41	C₂²×C₁₃	semidirect
601. #501	C₂²×C₁₃	semidirect
602. #500	C₂²×C₁₃	semidirect
603. #496	C₂²×C₁₃	semidirect
605. #490	C₂²×C₁₃	semidirect
606. #489	C₂²×C₁₃	semidirect
608. #486	C₂²×C₁₃	semidirect
609. #485	C₂²×C₁₃	semidirect
611. #482	C₂²×C₁₃	semidirect
612. #482	C₂²×C₁₃	semidirect
613. #480	C₂²×C₁₃	semidirect
614. #480	C₂²×C₁₃	semidirect
615. #479	C₂²×C₁₃	semidirect
616. #478	C₂²×C₁₃	semidirect
617. #477	C₂²×C₁₃	semidirect
618. #477	C₂²×C₁₃	semidirect
620. #476	C₂²×C₁₃	semidirect
622. #474	C₂²×C₁₃	semidirect
625. #468	C₂²×C₁₃	semidirect
626. #468	C₂²×C₁₃	semidirect
627. #466	C₂²×C₁₃	semidirect
628. #466	C₂²×C₁₃	semidirect
629. #464	C₂²×C₁₃	semidirect
630. #463	C₂²×C₁₃	semidirect
632. #460	C₂²×C₁₃	semidirect
636. #459	C₂²×C₁₃	semidirect
637. #452	C₂²×C₁₃	semidirect
640. #449	C₂²×C₁₃	semidirect
643. #446	C₂²×C₁₃	semidirect
644. #446	C₂²×C₁₃	semidirect
646. #442	C₂²×C₁₃	semidirect
648. #440	C₂²×C₁₃	semidirect
649. C₄×Q₁₆	C₂²×C₁₃	semidirect
650. C₄×Q₁₆	C₂²×C₁₃	semidirect
653. C₄×SD₁₆	C₂²×C₁₃	semidirect
654. C₄×SD₁₆	C₂²×C₁₃	semidirect
655. C₄×SD₁₆	C₂²×C₁₃	semidirect
656. C₄×SD₁₆	C₂²×C₁₃	semidirect
660. C₄×D₈	C₂²×C₁₃	semidirect
661. C₄×D₈	C₂²×C₁₃	semidirect
662. C₄×D₈	C₂²×C₁₃	semidirect
665. #435	C₂²×C₁₃	semidirect
666. #435	C₂²×C₁₃	semidirect
667. #431	C₂²×C₁₃	semidirect
668. #431	C₂²×C₁₃	semidirect
669. #428	C₂²×C₁₃	semidirect
670. #427	C₂²×C₁₃	semidirect
672. #417	C₂²×C₁₃	semidirect
674. #416	C₂²×C₁₃	semidirect
675. C₄×M₁₆	C₂²×C₁₃	semidirect
676. C₂×C₄×C₈	C₂²×C₁₃	semidirect
969. SD₁₆	C₁₃×#41	semidirect
1045. C₁₃	#61449	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×#3483	2
C₁₃×#3481	2
C₁₃×#3399	2
C₁₃×#3385	2
C₁₃×#3375	2
C₁₃×#3366	2
C₁₃×#3357	2
C₁₃×#3347	2
C₁₃×#3333	2
C₁₃×#3325	2
C₁₃×#3319	2
C₁₃×#3309	2
C₁₃×#3274	2
C₁₃×#3268	2
C₁₃×#3171	2
C₁₃×#3169	2
C₁₃×#3106	2
C₁₃×#3102	2
C₁₃×#3100	2
C₁₃×#2965	2
C₄×C₁₃×AGL(1,ℤ/8)	2
C₄×C₁₃×#135	2
#61449	13

Subgroups — C13×#61449 #15747788

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61449 #15747788