Subgroups — C₁₃×#61974 #15748313

Order 3328.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1186 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3331	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3307	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3272	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3256	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3219	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3114	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3036	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
26	C₂×C₁₃×#135	C₂²	1	2	yes	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic
28	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#554	C₂²	1	1	yes	characteristic
30	C₁₃×#554	C₂²	1	1	yes	characteristic
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#553	—	2	2	no	—
34	C₁₃×#553	C₂²	1	2	yes	—
35	C₁₃×#551	—	2	2	no	—
36	C₁₃×#550	—	2	1	no	—
37	C₁₃×#550	C₂²	1	1	yes	characteristic
38	C₁₃×#550	C₂²	1	2	yes	complemented
39	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#547	C₂²	1	1	yes	characteristic
41	C₁₃×#547	C₂²	1	2	yes	complemented
42	C₁₃×#546	—	2	1	no	—
43	C₁₃×#546	C₂²	1	2	yes	—
44	D₄²×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#540	—	2	1	no	—
46	C₁₃×#540	—	2	2	no	—
47	C₁₃×#532	C₂²	1	1	yes	characteristic
48	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#532	C₂²	1	2	yes	complemented
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#529	C₂²	1	2	yes	—
52	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#529	C₂²	1	2	yes	complemented
54	C₁₃×#525	—	2	2	no	—
55	C₁₃×#520	—	2	1	no	—
56	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃	—	2	1	no	—
59	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
60	C₁₃×#497	C₂²	1	2	yes	complemented
61	C₁₃×#496	C₂²	1	2	yes	complemented
62	C₁₃×#493	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#491	C₂²	1	2	yes	complemented
65	C₁₃×#490	C₂²	1	2	yes	complemented
66	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#483	C₂²	1	2	yes	complemented
70	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#480	C₂²	1	2	yes	complemented
72	C₁₃×#479	C₂²	1	2	yes	complemented
73	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#478	C₂²	1	1	yes	characteristic
75	C₁₃×#478	C₂²	1	2	yes	complemented
76	C₁₃×#478	C₂²	1	2	yes	complemented
77	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#470	C₂²	1	2	yes	complemented
80	C₁₃×#469	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	complemented
83	C₁₃×#466	C₂²	1	2	yes	complemented
84	C₁₃×#465	C₂²	1	2	yes	complemented
85	C₁₃×#464	C₂²	1	2	yes	complemented
86	C₁₃×#464	C₂²	1	2	yes	complemented
87	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	1	yes	characteristic
90	C₁₃×#463	C₂²	1	2	yes	complemented
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#463	C₂²	1	2	yes	complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#461	C₂²	1	2	yes	—
96	C₁₃×#461	C₂²	1	1	yes	characteristic
97	C₁₃×#461	C₂²	1	2	yes	complemented
98	C₁₃×#460	C₂²	1	1	yes	characteristic
99	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#459	C₂²	1	2	yes	—
101	C₁₃×#459	C₂²	1	1	yes	characteristic
102	C₁₃×#459	C₂²	1	1	yes	characteristic
103	C₁₃×#459	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	1	yes	characteristic
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#452	C₂²	1	2	yes	complemented
107	C₁₃×#450	C₂²	1	2	yes	—
108	C₁₃×#449	C₂²	1	1	yes	characteristic
109	C₁₃×#449	C₂²	1	2	yes	—
110	C₁₃×#449	C₂²	1	2	yes	—
111	C₁₃×#449	C₂²	1	2	yes	complemented
112	C₁₃×#449	C₂²	1	2	yes	complemented
113	C₁₃×#447	C₂²	1	2	yes	—
114	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#442	C₂²	1	2	yes	—
117	C₁₃×#442	C₂²	1	2	yes	complemented
118	C₁₃×#440	C₂²	1	2	yes	—
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
122	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
124	C₁₃×#436	C₂²	1	1	yes	characteristic
125	C₁₃×#436	C₂²	1	1	yes	characteristic
126	C₁₃×#435	C₂²	1	2	yes	complemented
127	C₁₃×#435	C₂²	1	2	yes	complemented
128	C₁₃×#432	C₂²	1	2	yes	complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#423	C₂²	1	2	yes	complemented
131	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#417	C₂²	1	2	yes	complemented
133	C₁₃×#417	C₂²	1	2	yes	complemented
134	C₁₃×#416	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂×C₁₃×#41	C₂³	1	2	yes	—
141	C₂×C₁₃×#41	C₂³	1	2	yes	—
142	C₂²×D₄×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₃	—	2	2	no	—
145	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
146	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
147	C₁₃×#135	—	4	4	no	—
148	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×D₈	C₂³	1	2	yes	—
159	C₂×C₁₃×D₈	C₂³	1	2	yes	—
160	C₂×C₁₃×D₈	C₂³	1	2	yes	—
161	C₂×C₁₃×D₈	C₂³	1	2	yes	—
162	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
163	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
164	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×#127	—	2	1	no	—
169	C₁₃×#127	—	2	2	no	—
170	C₁₃×#127	C₂³	1	2	yes	—
171	C₁₃×#127	C₂³	1	1	yes	characteristic
172	C₁₃×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	C₂³	1	1	yes	characteristic
181	C₁₃×#125	C₂³	1	2	yes	—
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	C₂³	1	2	yes	—
185	C₁₃×#124	C₂³	1	1	yes	characteristic
186	C₁₃×#124	C₂³	1	2	yes	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	1	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×#123	—	2	2	no	—
195	C₁₃×#123	—	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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
201	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	1	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	—	2	1	no	—
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	C₂³	1	2	yes	—
218	C₁₃×#121	C₂³	1	2	yes	—
219	C₁₃×#121	C₂³	1	1	yes	characteristic
220	C₁₃×#121	C₂³	1	2	yes	—
221	C₁₃×#120	—	2	2	no	—
222	C₁₃×#120	—	2	2	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	D₄	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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×D₄×C₁₃	—	2	1	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	1	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	2	no	—
247	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
248	C₄×D₄×C₁₃	D₄	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	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	2	yes	—
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₁₃×#117	—	2	1	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	2	no	—
261	C₁₃×#117	—	2	2	no	—
262	C₁₃×#117	D₄	1	2	yes	—
263	C₁₃×#117	D₄	1	1	yes	characteristic
264	C₁₃×#117	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
266	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
267	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
269	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
270	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
271	C₂×C₄²×C₁₃	—	2	1	no	—
272	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₁₃×#97	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
315	#61974	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	2	no	—
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	1	no	—
320	C₁₃×#41	—	4	2	no	—
321	C₁₃×#41	—	4	2	no	—
322	C₁₃×#41	—	4	2	no	—
323	C₁₃×#41	—	4	2	no	—
324	C₁₃×#41	—	4	2	no	—
325	C₁₃×#41	—	4	2	no	—
326	C₁₃×#41	—	4	4	no	—
327	C₁₃×#41	—	8	2	no	—
328	C₂×Q₈×C₁₃	—	2	1	no	—
329	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
332	C₂×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	2	no	—
347	C₂×D₄×C₁₃	—	2	1	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	1	yes	characteristic
354	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
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	1	no	—
363	C₂²×C₄×C₁₃	—	2	2	no	—
364	C₂²×C₄×C₁₃	—	2	2	no	—
365	C₂²×C₄×C₁₃	—	2	2	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	—	8	4	no	—
370	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
372	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
373	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₁₃×Q₁₆	—	4	1	no	—
377	C₁₃×Q₁₆	—	4	2	no	—
378	C₁₃×SD₁₆	—	2	4	no	—
379	C₁₃×SD₁₆	—	2	2	no	—
380	C₁₃×SD₁₆	—	4	1	no	—
381	C₁₃×SD₁₆	—	4	2	no	—
382	C₁₃×SD₁₆	—	4	2	no	—
383	C₁₃×SD₁₆	—	4	2	no	—
384	C₁₃×SD₁₆	—	4	2	no	—
385	C₁₃×D₈	—	2	4	no	—
386	C₁₃×D₈	—	2	2	no	—
387	C₁₃×D₈	—	4	2	no	—
388	C₁₃×D₈	—	4	2	no	—
389	C₁₃×D₈	—	4	2	no	—
390	C₁₃×M₁₆	—	4	2	no	—
391	C₁₃×M₁₆	—	4	2	no	—
392	C₂×C₈×C₁₃	—	4	2	no	—
393	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
398	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
417	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
419	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
420	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
423	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	1	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	1	no	—
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	1	no	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	2	no	—
445	C₁₃×C₂²⋊C₄	—	2	1	no	—
446	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
447	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
448	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
449	C₄²×C₁₃	—	2	1	no	—
450	C₄²×C₁₃	—	2	1	no	—
451	C₄²×C₁₃	—	2	1	no	—
452	C₄²×C₁₃	—	2	2	no	—
453	C₄²×C₁₃	—	2	1	no	—
454	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
455	C₄²×C₁₃	C₂×D₄	1	2	yes	—
456	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
457	C₄²×C₁₃	C₂×D₄	1	2	yes	—
458	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₄²×C₁₃	C₂⁴	1	2	yes	—
460	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
461	#3517	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3481	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3372	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3333	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3331	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3309	C₂×C₁₃	1	2	yes	complemented
470	#3307	C₂×C₁₃	1	2	yes	complemented
471	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3272	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3268	C₂×C₁₃	1	2	yes	complemented
474	#3267	C₂×C₁₃	1	2	yes	complemented
475	#3256	C₂×C₁₃	1	2	yes	complemented
476	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3219	C₂×C₁₃	1	2	yes	complemented
478	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3114	C₂×C₁₃	1	2	yes	complemented
480	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#3036	C₂×C₁₃	1	2	yes	complemented
482	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#2989	C₂×C₁₃	1	1	yes	characteristic, complemented
484	C₂³×C₁₃	—	2	1	no	—
485	C₂³×C₁₃	—	2	2	no	—
486	C₂³×C₁₃	—	2	1	no	—
487	C₂³×C₁₃	—	2	2	no	—
488	C₂³×C₁₃	—	4	4	no	—
489	C₂³×C₁₃	—	4	4	no	—
490	C₂³×C₁₃	—	8	2	no	—
491	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
492	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
493	Q₈×C₁₃	—	2	2	no	—
494	Q₈×C₁₃	—	2	1	no	—
495	Q₈×C₁₃	—	2	2	no	—
496	Q₈×C₁₃	—	2	1	no	—
497	Q₈×C₁₃	—	2	1	no	—
498	Q₈×C₁₃	—	2	2	no	—
499	Q₈×C₁₃	—	2	1	no	—
500	Q₈×C₁₃	—	8	1	no	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	2	1	no	—
503	D₄×C₁₃	—	2	2	no	—
504	D₄×C₁₃	—	2	2	no	—
505	D₄×C₁₃	—	2	1	no	—
506	D₄×C₁₃	—	2	2	no	—
507	D₄×C₁₃	—	2	2	no	—
508	D₄×C₁₃	—	2	1	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	4	4	no	—
511	D₄×C₁₃	—	4	4	no	—
512	D₄×C₁₃	—	4	2	no	—
513	D₄×C₁₃	—	4	4	no	—
514	D₄×C₁₃	—	4	2	no	—
515	D₄×C₁₃	—	4	2	no	—
516	D₄×C₁₃	—	8	2	no	—
517	D₄×C₁₃	—	8	1	no	—
518	D₄×C₁₃	—	8	1	no	—
519	D₄×C₁₃	—	8	2	no	—
520	D₄×C₁₃	—	8	1	no	—
521	D₄×C₁₃	—	8	2	no	—
522	D₄×C₁₃	—	8	2	no	—
523	D₄×C₁₃	—	8	2	no	—
524	D₄×C₁₃	—	8	2	no	—
525	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	2	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	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	—	4	2	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	4	1	no	—
542	C₂×C₄×C₁₃	—	4	2	no	—
543	C₂×C₄×C₁₃	—	4	2	no	—
544	C₂×C₄×C₁₃	—	4	4	no	—
545	C₂×C₄×C₁₃	—	4	4	no	—
546	C₂×C₄×C₁₃	—	4	2	no	—
547	C₂×C₄×C₁₃	—	4	2	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	—	8	2	no	—
552	C₂×C₄×C₁₃	—	8	2	no	—
553	C₂×C₄×C₁₃	—	8	2	no	—
554	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
555	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
556	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
557	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
558	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
559	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
560	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
561	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
562	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
563	C₈×C₁₃	—	2	2	no	—
564	C₈×C₁₃	—	2	2	no	—
565	C₈×C₁₃	—	2	1	no	—
566	C₈×C₁₃	—	2	1	no	—
567	C₈×C₁₃	—	2	1	no	—
568	C₈×C₁₃	—	2	1	no	—
569	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
570	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
571	C₂×#135	C₂²×C₁₃	1	2	yes	—
572	#559	C₂²×C₁₃	1	1	yes	characteristic
573	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
574	#554	C₂²×C₁₃	1	1	yes	characteristic
575	#554	C₂²×C₁₃	1	1	yes	characteristic
576	#553	—	2	1	no	—
577	#553	—	2	1	no	—
578	#553	—	2	2	no	—
579	#553	C₂²×C₁₃	1	2	yes	—
580	#551	—	2	2	no	—
581	#550	—	2	1	no	—
582	#550	C₂²×C₁₃	1	1	yes	characteristic
583	#550	C₂²×C₁₃	1	2	yes	complemented
584	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
585	#547	C₂²×C₁₃	1	1	yes	characteristic
586	#547	C₂²×C₁₃	1	2	yes	complemented
587	#546	—	2	1	no	—
588	#546	C₂²×C₁₃	1	2	yes	—
589	D₄²	C₂²×C₁₃	1	1	yes	characteristic
590	#540	—	2	1	no	—
591	#540	—	2	2	no	—
592	#532	C₂²×C₁₃	1	1	yes	characteristic
593	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#532	C₂²×C₁₃	1	2	yes	complemented
595	#529	—	2	1	no	—
596	#529	C₂²×C₁₃	1	2	yes	—
597	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
598	#529	C₂²×C₁₃	1	2	yes	complemented
599	#525	—	2	2	no	—
600	#520	—	2	1	no	—
601	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
602	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
603	C₂×C₄×D₄	—	2	1	no	—
604	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
605	#497	C₂²×C₁₃	1	2	yes	complemented
606	#496	C₂²×C₁₃	1	2	yes	complemented
607	#493	C₂²×C₁₃	1	1	yes	characteristic
608	#492	C₂²×C₁₃	1	1	yes	characteristic
609	#491	C₂²×C₁₃	1	2	yes	complemented
610	#490	C₂²×C₁₃	1	2	yes	complemented
611	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#483	C₂²×C₁₃	1	2	yes	complemented
615	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#480	C₂²×C₁₃	1	2	yes	complemented
617	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#479	C₂²×C₁₃	1	2	yes	complemented
619	#478	C₂²×C₁₃	1	1	yes	characteristic
620	#478	C₂²×C₁₃	1	2	yes	complemented
621	#478	C₂²×C₁₃	1	2	yes	complemented
622	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
623	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#470	C₂²×C₁₃	1	2	yes	complemented
625	#469	C₂²×C₁₃	1	2	yes	—
626	#468	C₂²×C₁₃	1	2	yes	—
627	#468	C₂²×C₁₃	1	2	yes	complemented
628	#466	C₂²×C₁₃	1	2	yes	complemented
629	#465	C₂²×C₁₃	1	2	yes	complemented
630	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#464	C₂²×C₁₃	1	2	yes	complemented
632	#464	C₂²×C₁₃	1	2	yes	complemented
633	#463	C₂²×C₁₃	1	1	yes	characteristic
634	#463	C₂²×C₁₃	1	2	yes	—
635	#463	C₂²×C₁₃	1	2	yes	complemented
636	#463	C₂²×C₁₃	1	2	yes	complemented
637	#463	C₂²×C₁₃	1	2	yes	complemented
638	#463	C₂²×C₁₃	1	2	yes	complemented
639	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#461	C₂²×C₁₃	1	2	yes	—
641	#461	C₂²×C₁₃	1	1	yes	characteristic
642	#461	C₂²×C₁₃	1	2	yes	complemented
643	#460	C₂²×C₁₃	1	1	yes	characteristic
644	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	#459	C₂²×C₁₃	1	2	yes	—
646	#459	C₂²×C₁₃	1	1	yes	characteristic
647	#459	C₂²×C₁₃	1	1	yes	characteristic
648	#459	C₂²×C₁₃	1	2	yes	complemented
649	#452	C₂²×C₁₃	1	1	yes	characteristic
650	#452	C₂²×C₁₃	1	2	yes	complemented
651	#452	C₂²×C₁₃	1	2	yes	complemented
652	#450	C₂²×C₁₃	1	2	yes	—
653	#449	C₂²×C₁₃	1	1	yes	characteristic
654	#449	C₂²×C₁₃	1	2	yes	—
655	#449	C₂²×C₁₃	1	2	yes	—
656	#449	C₂²×C₁₃	1	2	yes	complemented
657	#449	C₂²×C₁₃	1	2	yes	complemented
658	#447	C₂²×C₁₃	1	2	yes	—
659	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#442	C₂²×C₁₃	1	2	yes	—
662	#442	C₂²×C₁₃	1	2	yes	complemented
663	#440	C₂²×C₁₃	1	2	yes	—
664	#440	C₂²×C₁₃	1	2	yes	complemented
665	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
667	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
669	#436	C₂²×C₁₃	1	1	yes	characteristic
670	#436	C₂²×C₁₃	1	1	yes	characteristic
671	#435	C₂²×C₁₃	1	2	yes	complemented
672	#435	C₂²×C₁₃	1	2	yes	complemented
673	#432	C₂²×C₁₃	1	2	yes	complemented
674	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	#423	C₂²×C₁₃	1	2	yes	complemented
676	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#417	C₂²×C₁₃	1	2	yes	complemented
678	#417	C₂²×C₁₃	1	2	yes	complemented
679	#416	C₂²×C₁₃	1	2	yes	complemented
680	C₂²×C₁₃	—	2	2	no	—
681	C₂²×C₁₃	—	2	1	no	—
682	C₂²×C₁₃	—	2	1	no	—
683	C₂²×C₁₃	—	2	2	no	—
684	C₂²×C₁₃	—	2	2	no	—
685	C₂²×C₁₃	—	2	1	no	—
686	C₂²×C₁₃	—	2	2	no	—
687	C₂²×C₁₃	—	4	1	no	—
688	C₂²×C₁₃	—	4	1	no	—
689	C₂²×C₁₃	—	4	2	no	—
690	C₂²×C₁₃	—	4	1	no	—
691	C₂²×C₁₃	—	4	2	no	—
692	C₂²×C₁₃	—	4	1	no	—
693	C₂²×C₁₃	—	4	2	no	—
694	C₂²×C₁₃	—	4	2	no	—
695	C₂²×C₁₃	—	4	2	no	—
696	C₂²×C₁₃	—	4	1	no	—
697	C₂²×C₁₃	—	4	2	no	—
698	C₂²×C₁₃	—	8	8	no	—
699	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
700	C₄×C₁₃	—	2	1	no	—
701	C₄×C₁₃	—	2	2	no	—
702	C₄×C₁₃	—	2	1	no	—
703	C₄×C₁₃	—	2	1	no	—
704	C₄×C₁₃	—	2	2	no	—
705	C₄×C₁₃	—	2	1	no	—
706	C₄×C₁₃	—	2	2	no	—
707	C₄×C₁₃	—	4	1	no	—
708	C₄×C₁₃	—	4	2	no	—
709	C₄×C₁₃	—	4	1	no	—
710	C₄×C₁₃	—	4	1	no	—
711	C₄×C₁₃	—	4	1	no	—
712	C₄×C₁₃	—	4	2	no	—
713	C₄×C₁₃	—	4	1	no	—
714	C₄×C₁₃	—	4	1	no	—
715	C₄×C₁₃	#575	1	2	yes	—
716	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
717	C₄×C₁₃	#585	1	1	yes	characteristic
718	C₂×#41	—	2	1	no	—
719	C₂×#41	—	2	1	no	—
720	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
721	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
722	C₂×#41	C₂³×C₁₃	1	2	yes	—
723	C₂×#41	C₂³×C₁₃	1	2	yes	—
724	C₂×#41	C₂³×C₁₃	1	2	yes	—
725	C₂²×D₄	—	2	1	no	—
726	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
727	C₂³×C₄	—	2	2	no	—
728	AGL(1,ℤ/8)	—	4	4	no	—
729	AGL(1,ℤ/8)	—	4	4	no	—
730	#135	—	4	4	no	—
731	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
732	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
734	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
735	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
736	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
737	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
738	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
739	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
740	C₂×D₈	C₂³×C₁₃	1	2	yes	—
741	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
742	C₂×D₈	C₂³×C₁₃	1	2	yes	—
743	C₂×D₈	C₂³×C₁₃	1	2	yes	—
744	C₂×D₈	C₂³×C₁₃	1	2	yes	—
745	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
746	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
748	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
749	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
750	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
751	#127	—	2	1	no	—
752	#127	—	2	2	no	—
753	#127	C₂³×C₁₃	1	1	yes	characteristic
754	#127	C₂³×C₁₃	1	1	yes	characteristic
755	#127	C₂³×C₁₃	1	2	yes	—
756	#126	—	2	2	no	—
757	#126	—	2	2	no	—
758	#126	—	2	1	no	—
759	#126	—	2	2	no	—
760	#125	—	2	1	no	—
761	#125	—	2	1	no	—
762	#125	—	2	2	no	—
763	#125	C₂³×C₁₃	1	2	yes	—
764	#125	C₂³×C₁₃	1	1	yes	characteristic
765	#124	—	2	1	no	—
766	#124	—	2	1	no	—
767	#124	C₂³×C₁₃	1	2	yes	—
768	#124	C₂³×C₁₃	1	1	yes	characteristic
769	#124	C₂³×C₁₃	1	2	yes	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	1	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	—	2	2	no	—
777	#123	—	2	2	no	—
778	#123	—	2	2	no	—
779	C₂²⋊Q₈	—	2	1	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
783	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
784	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	#121	—	2	2	no	—
786	#121	—	2	1	no	—
787	#121	—	2	2	no	—
788	#121	—	2	1	no	—
789	#121	—	2	2	no	—
790	#121	—	2	1	no	—
791	#121	—	2	1	no	—
792	#121	—	2	2	no	—
793	#121	—	2	1	no	—
794	#121	—	2	1	no	—
795	#121	—	2	2	no	—
796	#121	—	2	2	no	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	—	2	2	no	—
800	#121	C₂³×C₁₃	1	2	yes	—
801	#121	C₂³×C₁₃	1	2	yes	—
802	#121	C₂³×C₁₃	1	1	yes	characteristic
803	#121	C₂³×C₁₃	1	2	yes	—
804	#120	—	2	2	no	—
805	#120	—	2	2	no	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
808	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
809	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
811	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
812	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	2	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	2	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	2	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	2	no	—
825	C₄×D₄	—	2	2	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	—	2	2	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	2	no	—
830	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
831	C₄×D₄	D₄×C₁₃	1	2	yes	—
832	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
833	C₄×D₄	C₂³×C₁₃	1	2	yes	—
834	C₄×D₄	C₂³×C₁₃	1	2	yes	—
835	C₄×D₄	C₂³×C₁₃	1	2	yes	—
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	#117	—	2	1	no	—
842	#117	—	2	1	no	—
843	#117	—	2	2	no	—
844	#117	—	2	2	no	—
845	#117	D₄×C₁₃	1	2	yes	—
846	#117	D₄×C₁₃	1	1	yes	characteristic
847	#117	C₂³×C₁₃	1	1	yes	characteristic
848	C₂×C₄⋊C₄	—	2	1	no	—
849	C₂×C₄⋊C₄	—	2	1	no	—
850	C₂×C₄⋊C₄	—	2	2	no	—
851	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
852	C₂×C₂²⋊C₄	—	2	2	no	—
853	C₂×C₂²⋊C₄	—	2	2	no	—
854	C₂×C₄²	—	2	1	no	—
855	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
856	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
857	#107	C₂³×C₁₃	1	1	yes	characteristic
858	#107	C₂³×C₁₃	1	1	yes	characteristic
859	#107	C₂³×C₁₃	1	2	yes	—
860	#106	C₂³×C₁₃	1	1	yes	characteristic
861	#106	C₂³×C₁₃	1	1	yes	characteristic
862	#106	C₂³×C₁₃	1	2	yes	—
863	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
864	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
868	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
869	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
870	#103	C₂³×C₁₃	1	2	yes	—
871	#103	C₂³×C₁₃	1	2	yes	—
872	#103	C₂³×C₁₃	1	1	yes	characteristic
873	#103	C₂³×C₁₃	1	2	yes	—
874	#103	C₂³×C₁₃	1	2	yes	—
875	#103	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	2	yes	—
879	#102	C₂³×C₁₃	1	2	yes	—
880	#102	C₂³×C₁₃	1	2	yes	—
881	#102	C₂³×C₁₃	1	1	yes	characteristic
882	#102	C₂³×C₁₃	1	2	yes	—
883	#102	C₂³×C₁₃	1	2	yes	—
884	#102	C₂³×C₁₃	1	1	yes	characteristic
885	#102	C₂³×C₁₃	1	1	yes	characteristic
886	#102	C₂³×C₁₃	1	1	yes	characteristic
887	#102	C₂³×C₁₃	1	2	yes	—
888	#102	C₂³×C₁₃	1	2	yes	—
889	#102	C₂³×C₁₃	1	2	yes	—
890	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
891	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
892	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
893	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
894	#97	C₂³×C₁₃	1	2	yes	—
895	#97	C₂³×C₁₃	1	2	yes	—
896	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
897	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
898	C₂×C₁₃	—	4	1	no	—
899	C₂×C₁₃	—	4	2	no	—
900	C₂×C₁₃	—	4	2	no	—
901	C₂×C₁₃	—	8	1	no	—
902	C₂×C₁₃	—	8	2	no	—
903	C₂×C₁₃	—	8	2	no	—
904	C₂×C₁₃	#3488	1	1	yes	characteristic
905	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
906	C₂×C₁₃	#3585	1	1	yes	characteristic
907	C₂⁴	—	2	2	no	—
908	#41	—	2	2	no	—
909	#41	—	4	2	no	—
910	#41	—	4	1	no	—
911	#41	—	4	2	no	—
912	#41	—	4	2	no	—
913	#41	—	4	2	no	—
914	#41	—	4	2	no	—
915	#41	—	4	2	no	—
916	#41	—	4	2	no	—
917	#41	—	4	4	no	—
918	#41	—	8	2	no	—
919	C₂×Q₈	—	2	1	no	—
920	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
921	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
923	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
924	C₂×D₄	—	2	4	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	1	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	1	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	1	no	—
939	C₂×D₄	—	2	1	no	—
940	C₂×D₄	—	4	2	no	—
941	C₂×D₄	—	4	4	no	—
942	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
943	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
944	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
946	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
947	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	1	no	—
950	C₂²×C₄	—	2	1	no	—
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	2	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	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	8	4	no	—
961	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
963	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
964	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
965	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
966	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
967	Q₁₆	—	4	2	no	—
968	Q₁₆	—	4	1	no	—
969	SD₁₆	—	2	4	no	—
970	SD₁₆	—	2	2	no	—
971	SD₁₆	—	4	2	no	—
972	SD₁₆	—	4	2	no	—
973	SD₁₆	—	4	2	no	—
974	SD₁₆	—	4	1	no	—
975	SD₁₆	—	4	2	no	—
976	D₈	—	2	4	no	—
977	D₈	—	2	2	no	—
978	D₈	—	4	2	no	—
979	D₈	—	4	2	no	—
980	D₈	—	4	2	no	—
981	M₁₆	—	4	2	no	—
982	M₁₆	—	4	2	no	—
983	C₂×C₈	—	4	2	no	—
984	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
986	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
987	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
989	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	2	1	no	—
999	C₄⋊C₄	—	2	1	no	—
1000	C₄⋊C₄	—	2	2	no	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	—	2	1	no	—
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	1	no	—
1007	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1010	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1011	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1012	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1013	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1015	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	1	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	1	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	1	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	1	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1038	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1039	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	2	1	no	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	2	no	—
1044	C₄²	—	2	1	no	—
1045	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1046	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1047	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1048	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1049	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1050	C₄²	C₂⁴×C₁₃	1	2	yes	—
1051	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1052	C₁₃	#61974	1	1	yes	characteristic, direct product factor, Sylow
1053	C₂³	—	2	1	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	1	no	—
1057	C₂³	—	4	4	no	—
1058	C₂³	—	4	4	no	—
1059	C₂³	—	8	2	no	—
1060	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1061	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	Q₈	—	2	2	no	—
1063	Q₈	—	2	1	no	—
1064	Q₈	—	2	2	no	—
1065	Q₈	—	2	1	no	—
1066	Q₈	—	2	1	no	—
1067	Q₈	—	2	2	no	—
1068	Q₈	—	2	1	no	—
1069	Q₈	—	8	1	no	—
1070	D₄	—	2	2	no	—
1071	D₄	—	2	1	no	—
1072	D₄	—	2	2	no	—
1073	D₄	—	2	2	no	—
1074	D₄	—	2	1	no	—
1075	D₄	—	2	2	no	—
1076	D₄	—	2	2	no	—
1077	D₄	—	2	1	no	—
1078	D₄	—	4	2	no	—
1079	D₄	—	4	4	no	—
1080	D₄	—	4	4	no	—
1081	D₄	—	4	2	no	—
1082	D₄	—	4	4	no	—
1083	D₄	—	4	2	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	8	2	no	—
1086	D₄	—	8	1	no	—
1087	D₄	—	8	1	no	—
1088	D₄	—	8	2	no	—
1089	D₄	—	8	1	no	—
1090	D₄	—	8	2	no	—
1091	D₄	—	8	2	no	—
1092	D₄	—	8	2	no	—
1093	D₄	—	8	2	no	—
1094	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	1	no	—
1111	C₂×C₄	—	4	2	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	4	4	no	—
1115	C₂×C₄	—	4	2	no	—
1116	C₂×C₄	—	4	2	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	2	no	—
1120	C₂×C₄	—	8	2	no	—
1121	C₂×C₄	—	8	2	no	—
1122	C₂×C₄	—	8	2	no	—
1123	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1124	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1125	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1126	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1127	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1128	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1129	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1130	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1131	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1132	C₈	—	2	2	no	—
1133	C₈	—	2	2	no	—
1134	C₈	—	2	1	no	—
1135	C₈	—	2	1	no	—
1136	C₈	—	2	1	no	—
1137	C₈	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	2	no	—
1140	C₂²	—	2	2	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	2	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	2	no	—
1156	C₂²	—	8	8	no	—
1157	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1158	C₄	—	2	1	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	1	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	1	no	—
1163	C₄	—	2	1	no	—
1164	C₄	—	2	2	no	—
1165	C₄	—	4	1	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	4	1	no	—
1168	C₄	—	4	2	no	—
1169	C₄	—	4	1	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	2	no	—
1173	C₄	C₁₃×#575	1	2	yes	—
1174	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1175	C₄	C₁₃×#585	1	1	yes	characteristic
1176	C₂	—	4	2	no	—
1177	C₂	—	4	1	no	—
1178	C₂	—	4	2	no	—
1179	C₂	—	8	2	no	—
1180	C₂	—	8	2	no	—
1181	C₂	—	8	1	no	—
1182	C₂	C₁₃×#3488	1	1	yes	characteristic
1183	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1184	C₂	C₁₃×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3517	C₂	semidirect
2. C₁₃×#3481	C₂	semidirect
3. C₁₃×#3400	C₂	semidirect
4. C₁₃×#3399	C₂	semidirect
5. C₁₃×#3372	C₂	semidirect
6. C₁₃×#3366	C₂	semidirect
7. C₁₃×#3333	C₂	semidirect
8. C₁₃×#3331	C₂	semidirect
9. C₁₃×#3309	C₂	semidirect
10. C₁₃×#3307	C₂	semidirect
11. C₁₃×#3274	C₂	semidirect
12. C₁₃×#3272	C₂	semidirect
13. C₁₃×#3268	C₂	semidirect
14. C₁₃×#3267	C₂	semidirect
15. C₁₃×#3256	C₂	semidirect
16. C₁₃×#3247	C₂	semidirect
17. C₁₃×#3219	C₂	semidirect
18. C₁₃×#3207	C₂	semidirect
19. C₁₃×#3114	C₂	semidirect
20. C₁₃×#3102	C₂	semidirect
21. C₁₃×#3036	C₂	semidirect
22. C₁₃×#3035	C₂	semidirect
23. C₁₃×#2989	C₂	semidirect
28. C₁₃×#557	C₂²	semidirect
38. C₁₃×#550	C₂²	semidirect
39. C₁₃×#550	C₂²	semidirect
41. C₁₃×#547	C₂²	semidirect
48. C₁₃×#532	C₂²	semidirect
49. C₁₃×#532	C₂²	semidirect
52. C₁₃×#529	C₂²	semidirect
53. C₁₃×#529	C₂²	semidirect
60. C₁₃×#497	C₂²	semidirect
61. C₁₃×#496	C₂²	semidirect
64. C₁₃×#491	C₂²	semidirect
65. C₁₃×#490	C₂²	semidirect
66. C₁₃×#487	C₂²	semidirect
67. C₁₃×#486	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
69. C₁₃×#483	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#480	C₂²	semidirect
72. C₁₃×#479	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
75. C₁₃×#478	C₂²	semidirect
76. C₁₃×#478	C₂²	semidirect
77. C₁₃×#477	C₂²	semidirect
78. C₁₃×#476	C₂²	semidirect
79. C₁₃×#470	C₂²	semidirect
82. C₁₃×#468	C₂²	semidirect
83. C₁₃×#466	C₂²	semidirect
84. C₁₃×#465	C₂²	semidirect
85. C₁₃×#464	C₂²	semidirect
86. C₁₃×#464	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#462	C₂²	semidirect
97. C₁₃×#461	C₂²	semidirect
99. C₁₃×#460	C₂²	semidirect
103. C₁₃×#459	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
114. C₁₃×#446	C₂²	semidirect
115. C₁₃×#446	C₂²	semidirect
117. C₁₃×#442	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×Q₁₆	C₂²	semidirect
122. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₁₃×#435	C₂²	semidirect
127. C₁₃×#435	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#423	C₂²	semidirect
131. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
132. C₁₃×#417	C₂²	semidirect
133. C₁₃×#417	C₂²	semidirect
134. C₁₃×#416	C₂²	semidirect
315. #61974	C₁₃	direct (N × H)
461. #3517	C₂×C₁₃	semidirect
462. #3481	C₂×C₁₃	semidirect
463. #3400	C₂×C₁₃	semidirect
464. #3399	C₂×C₁₃	semidirect
465. #3372	C₂×C₁₃	semidirect
466. #3366	C₂×C₁₃	semidirect
467. #3333	C₂×C₁₃	semidirect
468. #3331	C₂×C₁₃	semidirect
469. #3309	C₂×C₁₃	semidirect
470. #3307	C₂×C₁₃	semidirect
471. #3274	C₂×C₁₃	semidirect
472. #3272	C₂×C₁₃	semidirect
473. #3268	C₂×C₁₃	semidirect
474. #3267	C₂×C₁₃	semidirect
475. #3256	C₂×C₁₃	semidirect
476. #3247	C₂×C₁₃	semidirect
477. #3219	C₂×C₁₃	semidirect
478. #3207	C₂×C₁₃	semidirect
479. #3114	C₂×C₁₃	semidirect
480. #3102	C₂×C₁₃	semidirect
481. #3036	C₂×C₁₃	semidirect
482. #3035	C₂×C₁₃	semidirect
483. #2989	C₂×C₁₃	semidirect
573. #557	C₂²×C₁₃	semidirect
583. #550	C₂²×C₁₃	semidirect
584. #550	C₂²×C₁₃	semidirect
586. #547	C₂²×C₁₃	semidirect
593. #532	C₂²×C₁₃	semidirect
594. #532	C₂²×C₁₃	semidirect
597. #529	C₂²×C₁₃	semidirect
598. #529	C₂²×C₁₃	semidirect
605. #497	C₂²×C₁₃	semidirect
606. #496	C₂²×C₁₃	semidirect
609. #491	C₂²×C₁₃	semidirect
610. #490	C₂²×C₁₃	semidirect
611. #487	C₂²×C₁₃	semidirect
612. #486	C₂²×C₁₃	semidirect
613. #485	C₂²×C₁₃	semidirect
614. #483	C₂²×C₁₃	semidirect
615. #482	C₂²×C₁₃	semidirect
616. #480	C₂²×C₁₃	semidirect
617. #479	C₂²×C₁₃	semidirect
618. #479	C₂²×C₁₃	semidirect
620. #478	C₂²×C₁₃	semidirect
621. #478	C₂²×C₁₃	semidirect
622. #477	C₂²×C₁₃	semidirect
623. #476	C₂²×C₁₃	semidirect
624. #470	C₂²×C₁₃	semidirect
627. #468	C₂²×C₁₃	semidirect
628. #466	C₂²×C₁₃	semidirect
629. #465	C₂²×C₁₃	semidirect
630. #464	C₂²×C₁₃	semidirect
631. #464	C₂²×C₁₃	semidirect
632. #464	C₂²×C₁₃	semidirect
635. #463	C₂²×C₁₃	semidirect
636. #463	C₂²×C₁₃	semidirect
637. #463	C₂²×C₁₃	semidirect
638. #463	C₂²×C₁₃	semidirect
639. #462	C₂²×C₁₃	semidirect
642. #461	C₂²×C₁₃	semidirect
644. #460	C₂²×C₁₃	semidirect
648. #459	C₂²×C₁₃	semidirect
650. #452	C₂²×C₁₃	semidirect
651. #452	C₂²×C₁₃	semidirect
656. #449	C₂²×C₁₃	semidirect
657. #449	C₂²×C₁₃	semidirect
659. #446	C₂²×C₁₃	semidirect
660. #446	C₂²×C₁₃	semidirect
662. #442	C₂²×C₁₃	semidirect
664. #440	C₂²×C₁₃	semidirect
665. C₄×Q₁₆	C₂²×C₁₃	semidirect
667. C₄×SD₁₆	C₂²×C₁₃	semidirect
671. #435	C₂²×C₁₃	semidirect
672. #435	C₂²×C₁₃	semidirect
673. #432	C₂²×C₁₃	semidirect
674. #431	C₂²×C₁₃	semidirect
675. #423	C₂²×C₁₃	semidirect
676. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
677. #417	C₂²×C₁₃	semidirect
678. #417	C₂²×C₁₃	semidirect
679. #416	C₂²×C₁₃	semidirect
1052. C₁₃	#61974	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×#3517	2
C₁₃×#3481	2
C₁₃×#3400	2
C₁₃×#3399	2
C₁₃×#3372	2
C₁₃×#3366	2
C₁₃×#3333	2
C₁₃×#3331	2
C₁₃×#3309	2
C₁₃×#3307	2
C₁₃×#3274	2
C₁₃×#3272	2
C₁₃×#3268	2
C₁₃×#3267	2
C₁₃×#3256	2
C₁₃×#3247	2
C₁₃×#3219	2
C₁₃×#3207	2
C₁₃×#3114	2
C₁₃×#3102	2
C₁₃×#3036	2
C₁₃×#3035	2
C₁₃×#2989	2
#61974	13

Subgroups — C13×#61974 #15748313

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61974 #15748313