Subgroups — C₁₃×#62074 #15748413

Order 3328.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1204 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3391	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3287	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3284	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3245	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3045	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
26	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
27	C₁₃×#560	—	2	2	no	—
28	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#556	C₂²	1	1	yes	characteristic
30	C₁₃×#553	—	2	2	no	—
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#553	C₂²	1	2	yes	complemented
33	C₁₃×#550	—	2	1	no	—
34	C₁₃×#550	C₂²	1	1	yes	characteristic
35	C₁₃×#550	C₂²	1	2	yes	—
36	C₁₃×#550	C₂²	1	1	yes	characteristic
37	C₁₃×#550	C₂²	1	2	yes	complemented
38	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#547	—	2	1	no	—
40	C₁₃×#547	C₂²	1	1	yes	characteristic
41	C₁₃×#547	C₂²	1	1	yes	characteristic
42	C₁₃×#546	—	2	1	no	—
43	C₁₃×#546	C₂²	1	2	yes	—
44	D₄²×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#542	C₂²	1	2	yes	—
46	C₁₃×#540	—	2	2	no	—
47	C₁₃×#540	C₂²	1	2	yes	complemented
48	C₁₃×#538	—	2	2	no	—
49	C₁₃×#537	—	2	1	no	—
50	C₁₃×#535	—	2	1	no	—
51	C₁₃×#535	C₂²	1	2	yes	—
52	C₁₃×#532	—	2	1	no	—
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#520	C₂²	1	2	yes	complemented
59	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#496	C₂²	1	2	yes	—
61	C₁₃×#493	C₂²	1	1	yes	characteristic
62	C₁₃×#493	C₂²	1	2	yes	complemented
63	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#490	C₂²	1	2	yes	complemented
65	C₁₃×#488	C₂²	1	2	yes	—
66	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#486	C₂²	1	1	yes	characteristic
68	C₁₃×#484	C₂²	1	2	yes	complemented
69	C₁₃×#482	C₂²	1	1	yes	characteristic
70	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#480	C₂²	1	2	yes	—
72	C₁₃×#479	C₂²	1	2	yes	complemented
73	C₁₃×#478	C₂²	1	2	yes	complemented
74	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#474	C₂²	1	1	yes	characteristic
77	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#474	C₂²	1	2	yes	complemented
79	C₁₃×#469	C₂²	1	2	yes	—
80	C₁₃×#468	C₂²	1	2	yes	complemented
81	C₁₃×#466	C₂²	1	2	yes	—
82	C₁₃×#466	C₂²	1	2	yes	—
83	C₁₃×#466	C₂²	1	2	yes	complemented
84	C₁₃×#465	C₂²	1	2	yes	complemented
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	2	yes	complemented
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#463	C₂²	1	2	yes	complemented
90	C₁₃×#463	C₂²	1	2	yes	complemented
91	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#460	C₂²	1	1	yes	characteristic
94	C₁₃×#460	C₂²	1	1	yes	characteristic
95	C₁₃×#460	C₂²	1	2	yes	complemented
96	C₁₃×#460	C₂²	1	2	yes	complemented
97	C₁₃×#459	C₂²	1	1	yes	characteristic
98	C₁₃×#459	C₂²	1	1	yes	characteristic
99	C₁₃×#459	C₂²	1	2	yes	—
100	C₁₃×#459	C₂²	1	1	yes	characteristic
101	C₁₃×#459	C₂²	1	2	yes	complemented
102	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#459	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	2	yes	complemented
105	C₁₃×#449	C₂²	1	1	yes	characteristic
106	C₁₃×#449	C₂²	1	2	yes	—
107	C₁₃×#449	C₂²	1	2	yes	complemented
108	C₁₃×#449	C₂²	1	2	yes	complemented
109	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#449	C₂²	1	2	yes	complemented
111	C₁₃×#449	C₂²	1	2	yes	complemented
112	C₁₃×#447	C₂²	1	2	yes	—
113	C₁₃×#447	C₂²	1	2	yes	—
114	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#440	C₂²	1	2	yes	complemented
117	C₁₃×#440	C₂²	1	2	yes	complemented
118	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
122	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
123	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#436	C₂²	1	1	yes	characteristic
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
127	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
128	C₁₃×#433	C₂²	1	2	yes	complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#424	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×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#102	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	2	yes	—
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃	—	2	1	no	—
145	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
146	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
147	C₁₃×#135	—	4	4	no	—
148	C₁₃×#135	—	4	4	no	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
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×D₈	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
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×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
164	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	—	2	1	no	—
167	C₁₃×C₄⋊Q₈	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×#127	—	2	1	no	—
171	C₁₃×#127	—	2	2	no	—
172	C₁₃×#127	—	2	2	no	—
173	C₁₃×#127	C₂³	1	1	yes	characteristic
174	C₁₃×#127	C₂³	1	1	yes	characteristic
175	C₁₃×#127	C₂³	1	1	yes	characteristic
176	C₁₃×#127	C₂³	1	2	yes	—
177	C₁₃×#127	C₂³	1	2	yes	—
178	C₁₃×#126	—	2	2	no	—
179	C₁₃×#126	—	2	2	no	—
180	C₁₃×#126	—	2	2	no	—
181	C₁₃×#126	D₄	1	2	yes	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	D₄	1	1	yes	characteristic
184	C₁₃×#125	C₂³	1	2	yes	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	D₄	1	1	yes	characteristic
189	C₁₃×#124	C₂³	1	2	yes	—
190	C₁₃×#124	C₂³	1	2	yes	—
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×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	D₄	1	2	yes	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	1	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
203	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	—	2	1	no	—
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	1	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	1	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	D₄	1	1	yes	characteristic
226	C₁₃×#121	C₂³	1	2	yes	—
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#121	C₂³	1	2	yes	—
231	C₁₃×#121	C₂³	1	1	yes	characteristic
232	C₁₃×#120	—	2	2	no	—
233	C₁₃×#120	—	2	2	no	—
234	C₁₃×#120	—	2	2	no	—
235	C₁₃×#120	—	2	2	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	2	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	—	2	2	no	—
249	C₄×D₄×C₁₃	—	2	2	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	2	yes	—
258	C₄×D₄×C₁₃	C₂³	1	2	yes	—
259	C₄×D₄×C₁₃	C₂³	1	2	yes	—
260	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
262	C₄×D₄×C₁₃	C₂³	1	2	yes	—
263	C₁₃×#117	—	2	2	no	—
264	C₁₃×#117	—	2	1	no	—
265	C₁₃×#117	—	2	1	no	—
266	C₁₃×#117	C₂³	1	1	yes	characteristic
267	C₁₃×#117	C₂³	1	2	yes	—
268	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
271	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
272	C₂×C₄²×C₁₃	—	2	1	no	—
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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×#107	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	1	yes	characteristic
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	2	yes	—
290	C₁₃×#103	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	2	yes	—
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	1	yes	characteristic
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	1	yes	characteristic
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	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	#62074	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	—	2	4	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₁₃×#41	—	4	1	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	—	8	2	no	—
326	C₁₃×#41	—	8	2	no	—
327	C₁₃×#41	—	8	2	no	—
328	C₁₃×#41	—	8	2	no	—
329	C₁₃×#41	—	8	2	no	—
330	C₂×Q₈×C₁₃	—	2	1	no	—
331	C₂×Q₈×C₁₃	—	2	1	no	—
332	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	1	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	1	no	—
347	C₂×D₄×C₁₃	—	2	1	no	—
348	C₂×D₄×C₁₃	—	2	1	no	—
349	C₂×D₄×C₁₃	—	2	2	no	—
350	C₂×D₄×C₁₃	—	2	1	no	—
351	C₂×D₄×C₁₃	—	2	2	no	—
352	C₂×D₄×C₁₃	—	2	1	no	—
353	C₂×D₄×C₁₃	—	2	2	no	—
354	C₂×D₄×C₁₃	—	2	2	no	—
355	C₂×D₄×C₁₃	—	2	2	no	—
356	C₂×D₄×C₁₃	—	4	2	no	—
357	C₂×D₄×C₁₃	—	4	2	no	—
358	C₂×D₄×C₁₃	—	8	2	no	—
359	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
361	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
363	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
365	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	2	1	no	—
368	C₂²×C₄×C₁₃	—	2	1	no	—
369	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
374	C₂²×C₄×C₁₃	—	2	2	no	—
375	C₂²×C₄×C₁₃	—	2	2	no	—
376	C₂²×C₄×C₁₃	—	2	2	no	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
382	C₁₃×Q₁₆	—	2	4	no	—
383	C₁₃×SD₁₆	—	2	2	no	—
384	C₁₃×SD₁₆	—	2	4	no	—
385	C₁₃×SD₁₆	—	2	2	no	—
386	C₁₃×SD₁₆	—	4	2	no	—
387	C₁₃×SD₁₆	—	4	2	no	—
388	C₁₃×SD₁₆	—	4	2	no	—
389	C₁₃×D₈	—	4	1	no	—
390	C₁₃×D₈	—	4	2	no	—
391	C₁₃×D₈	—	4	1	no	—
392	C₁₃×D₈	—	4	2	no	—
393	C₁₃×D₈	—	4	2	no	—
394	C₁₃×D₈	—	4	2	no	—
395	C₁₃×D₈	—	4	2	no	—
396	C₁₃×M₁₆	—	4	2	no	—
397	C₂×C₈×C₁₃	—	4	2	no	—
398	C₂×C₈×C₁₃	—	4	2	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	1	yes	characteristic
404	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	1	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	1	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	2	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
418	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
420	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
425	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
426	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	—	2	1	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	2	no	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	1	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	2	1	no	—
447	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
448	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
449	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
450	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
451	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
452	C₄²×C₁₃	—	2	1	no	—
453	C₄²×C₁₃	—	2	1	no	—
454	C₄²×C₁₃	—	2	1	no	—
455	C₄²×C₁₃	—	2	2	no	—
456	C₄²×C₁₃	—	2	2	no	—
457	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
459	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
460	C₄²×C₁₃	C₂⁴	1	2	yes	—
461	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
462	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3517	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3391	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3330	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3309	C₂×C₁₃	1	2	yes	complemented
470	#3297	C₂×C₁₃	1	2	yes	complemented
471	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3287	C₂×C₁₃	1	2	yes	complemented
473	#3284	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3268	C₂×C₁₃	1	2	yes	complemented
476	#3257	C₂×C₁₃	1	2	yes	complemented
477	#3245	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3220	C₂×C₁₃	1	2	yes	complemented
479	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
480	#3124	C₂×C₁₃	1	2	yes	complemented
481	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3045	C₂×C₁₃	1	2	yes	complemented
483	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#2994	C₂×C₁₃	1	1	yes	characteristic, complemented
485	C₂³×C₁₃	—	2	1	no	—
486	C₂³×C₁₃	—	2	1	no	—
487	C₂³×C₁₃	—	2	2	no	—
488	C₂³×C₁₃	—	2	2	no	—
489	C₂³×C₁₃	—	2	1	no	—
490	C₂³×C₁₃	—	8	2	no	—
491	C₂³×C₁₃	—	8	2	no	—
492	C₂³×C₁₃	—	8	2	no	—
493	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
494	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
495	Q₈×C₁₃	—	2	2	no	—
496	Q₈×C₁₃	—	2	1	no	—
497	Q₈×C₁₃	—	2	2	no	—
498	Q₈×C₁₃	—	2	2	no	—
499	Q₈×C₁₃	—	4	2	no	—
500	Q₈×C₁₃	—	8	1	no	—
501	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
502	D₄×C₁₃	—	2	2	no	—
503	D₄×C₁₃	—	2	2	no	—
504	D₄×C₁₃	—	2	1	no	—
505	D₄×C₁₃	—	2	2	no	—
506	D₄×C₁₃	—	2	1	no	—
507	D₄×C₁₃	—	2	1	no	—
508	D₄×C₁₃	—	2	1	no	—
509	D₄×C₁₃	—	2	2	no	—
510	D₄×C₁₃	—	2	1	no	—
511	D₄×C₁₃	—	2	2	no	—
512	D₄×C₁₃	—	2	1	no	—
513	D₄×C₁₃	—	4	2	no	—
514	D₄×C₁₃	—	4	2	no	—
515	D₄×C₁₃	—	4	4	no	—
516	D₄×C₁₃	—	4	2	no	—
517	D₄×C₁₃	—	4	2	no	—
518	D₄×C₁₃	—	8	1	no	—
519	D₄×C₁₃	—	8	1	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	1	no	—
525	D₄×C₁₃	—	8	2	no	—
526	D₄×C₁₃	—	8	2	no	—
527	D₄×C₁₃	—	8	2	no	—
528	D₄×C₁₃	—	8	2	no	—
529	D₄×C₁₃	—	8	2	no	—
530	D₄×C₁₃	—	8	2	no	—
531	D₄×C₁₃	—	8	1	no	—
532	D₄×C₁₃	—	8	1	no	—
533	D₄×C₁₃	—	8	2	no	—
534	D₄×C₁₃	—	8	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	1	no	—
543	C₂×C₄×C₁₃	—	2	1	no	—
544	C₂×C₄×C₁₃	—	2	2	no	—
545	C₂×C₄×C₁₃	—	2	2	no	—
546	C₂×C₄×C₁₃	—	2	1	no	—
547	C₂×C₄×C₁₃	—	4	1	no	—
548	C₂×C₄×C₁₃	—	4	2	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	—	8	1	no	—
554	C₂×C₄×C₁₃	—	8	2	no	—
555	C₂×C₄×C₁₃	—	8	2	no	—
556	C₂×C₄×C₁₃	—	8	2	no	—
557	C₂×C₄×C₁₃	—	8	2	no	—
558	C₂×C₄×C₁₃	—	8	2	no	—
559	C₂×C₄×C₁₃	—	8	2	no	—
560	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
561	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
562	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
563	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
564	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
566	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
567	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
568	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
569	C₈×C₁₃	—	2	2	no	—
570	C₈×C₁₃	—	2	1	no	—
571	C₈×C₁₃	—	2	2	no	—
572	C₈×C₁₃	—	2	1	no	—
573	C₈×C₁₃	—	2	1	no	—
574	C₈×C₁₃	—	2	1	no	—
575	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
576	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
577	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
578	#560	—	2	2	no	—
579	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
580	#556	C₂²×C₁₃	1	1	yes	characteristic
581	#553	—	2	2	no	—
582	#553	—	2	1	no	—
583	#553	C₂²×C₁₃	1	2	yes	complemented
584	#550	—	2	1	no	—
585	#550	C₂²×C₁₃	1	1	yes	characteristic
586	#550	C₂²×C₁₃	1	2	yes	—
587	#550	C₂²×C₁₃	1	1	yes	characteristic
588	#550	C₂²×C₁₃	1	2	yes	complemented
589	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
590	#547	—	2	1	no	—
591	#547	C₂²×C₁₃	1	1	yes	characteristic
592	#547	C₂²×C₁₃	1	1	yes	characteristic
593	#546	—	2	1	no	—
594	#546	C₂²×C₁₃	1	2	yes	—
595	D₄²	C₂²×C₁₃	1	1	yes	characteristic
596	#542	C₂²×C₁₃	1	2	yes	—
597	#540	—	2	2	no	—
598	#540	C₂²×C₁₃	1	2	yes	complemented
599	#538	—	2	2	no	—
600	#537	—	2	1	no	—
601	#535	—	2	1	no	—
602	#535	C₂²×C₁₃	1	2	yes	—
603	#532	—	2	1	no	—
604	#532	C₂²×C₁₃	1	1	yes	characteristic
605	#532	C₂²×C₁₃	1	1	yes	characteristic
606	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#529	—	2	1	no	—
608	#529	C₂²×C₁₃	1	1	yes	characteristic
609	#520	C₂²×C₁₃	1	2	yes	complemented
610	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#496	C₂²×C₁₃	1	2	yes	—
612	#493	C₂²×C₁₃	1	1	yes	characteristic
613	#493	C₂²×C₁₃	1	2	yes	complemented
614	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#490	C₂²×C₁₃	1	2	yes	complemented
616	#488	C₂²×C₁₃	1	2	yes	—
617	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#486	C₂²×C₁₃	1	1	yes	characteristic
619	#484	C₂²×C₁₃	1	2	yes	complemented
620	#482	C₂²×C₁₃	1	1	yes	characteristic
621	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#480	C₂²×C₁₃	1	2	yes	—
623	#479	C₂²×C₁₃	1	2	yes	complemented
624	#478	C₂²×C₁₃	1	2	yes	complemented
625	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#474	C₂²×C₁₃	1	1	yes	characteristic
628	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#474	C₂²×C₁₃	1	2	yes	complemented
630	#469	C₂²×C₁₃	1	2	yes	—
631	#468	C₂²×C₁₃	1	2	yes	complemented
632	#466	C₂²×C₁₃	1	2	yes	—
633	#466	C₂²×C₁₃	1	2	yes	—
634	#466	C₂²×C₁₃	1	2	yes	complemented
635	#465	C₂²×C₁₃	1	2	yes	complemented
636	#464	C₂²×C₁₃	1	2	yes	—
637	#464	C₂²×C₁₃	1	2	yes	complemented
638	#463	C₂²×C₁₃	1	2	yes	—
639	#463	C₂²×C₁₃	1	2	yes	complemented
640	#463	C₂²×C₁₃	1	2	yes	complemented
641	#463	C₂²×C₁₃	1	2	yes	complemented
642	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#460	C₂²×C₁₃	1	1	yes	characteristic
645	#460	C₂²×C₁₃	1	1	yes	characteristic
646	#460	C₂²×C₁₃	1	2	yes	complemented
647	#460	C₂²×C₁₃	1	2	yes	complemented
648	#459	C₂²×C₁₃	1	1	yes	characteristic
649	#459	C₂²×C₁₃	1	1	yes	characteristic
650	#459	C₂²×C₁₃	1	1	yes	characteristic
651	#459	C₂²×C₁₃	1	2	yes	—
652	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#459	C₂²×C₁₃	1	2	yes	complemented
654	#459	C₂²×C₁₃	1	2	yes	complemented
655	#452	C₂²×C₁₃	1	2	yes	complemented
656	#449	C₂²×C₁₃	1	1	yes	characteristic
657	#449	C₂²×C₁₃	1	2	yes	—
658	#449	C₂²×C₁₃	1	2	yes	complemented
659	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#449	C₂²×C₁₃	1	2	yes	complemented
661	#449	C₂²×C₁₃	1	2	yes	complemented
662	#449	C₂²×C₁₃	1	2	yes	complemented
663	#447	C₂²×C₁₃	1	2	yes	—
664	#447	C₂²×C₁₃	1	2	yes	—
665	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#440	C₂²×C₁₃	1	2	yes	complemented
668	#440	C₂²×C₁₃	1	2	yes	complemented
669	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
670	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
671	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
673	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
674	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
675	#436	C₂²×C₁₃	1	1	yes	characteristic
676	#435	C₂²×C₁₃	1	2	yes	complemented
677	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
678	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
679	#433	C₂²×C₁₃	1	2	yes	complemented
680	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#424	C₂²×C₁₃	1	2	yes	complemented
682	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	#417	C₂²×C₁₃	1	2	yes	complemented
684	#416	C₂²×C₁₃	1	2	yes	complemented
685	C₂×#102	C₂²×C₁₃	1	2	yes	—
686	C₂²×C₁₃	—	2	1	no	—
687	C₂²×C₁₃	—	2	2	no	—
688	C₂²×C₁₃	—	2	1	no	—
689	C₂²×C₁₃	—	2	2	no	—
690	C₂²×C₁₃	—	2	1	no	—
691	C₂²×C₁₃	—	2	2	no	—
692	C₂²×C₁₃	—	4	1	no	—
693	C₂²×C₁₃	—	4	1	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	—	4	1	no	—
699	C₂²×C₁₃	—	4	1	no	—
700	C₂²×C₁₃	—	4	2	no	—
701	C₂²×C₁₃	—	4	1	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	—	16	4	no	—
708	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
709	C₄×C₁₃	—	2	1	no	—
710	C₄×C₁₃	—	2	1	no	—
711	C₄×C₁₃	—	2	2	no	—
712	C₄×C₁₃	—	2	1	no	—
713	C₄×C₁₃	—	2	2	no	—
714	C₄×C₁₃	—	2	2	no	—
715	C₄×C₁₃	—	2	1	no	—
716	C₄×C₁₃	—	2	2	no	—
717	C₄×C₁₃	—	4	1	no	—
718	C₄×C₁₃	—	4	2	no	—
719	C₄×C₁₃	—	4	1	no	—
720	C₄×C₁₃	—	4	1	no	—
721	C₄×C₁₃	—	4	1	no	—
722	C₄×C₁₃	—	4	2	no	—
723	C₄×C₁₃	#576	1	2	yes	—
724	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
725	C₄×C₁₃	#585	1	1	yes	characteristic
726	C₂×#41	—	2	1	no	—
727	C₂×#41	—	2	1	no	—
728	C₂×#41	—	2	1	no	—
729	C₂×#41	—	2	1	no	—
730	C₂×#41	—	2	1	no	—
731	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
732	C₂×#41	C₂³×C₁₃	1	2	yes	—
733	C₂×#41	C₂³×C₁₃	1	2	yes	—
734	C₂×#41	C₂³×C₁₃	1	2	yes	—
735	C₂²×D₄	—	2	1	no	—
736	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
737	AGL(1,ℤ/8)	—	4	4	no	—
738	#135	—	4	4	no	—
739	#135	—	4	4	no	—
740	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
741	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
742	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
743	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
744	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
745	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
746	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂×D₈	C₂³×C₁₃	1	2	yes	—
748	C₂×D₈	C₂³×C₁₃	1	2	yes	—
749	C₂×D₈	C₂³×C₁₃	1	2	yes	—
750	C₂×D₈	C₂³×C₁₃	1	2	yes	—
751	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×D₈	C₂³×C₁₃	1	2	yes	—
753	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
754	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
755	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
756	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
757	C₄⋊Q₈	—	2	1	no	—
758	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
759	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
760	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
761	#127	—	2	1	no	—
762	#127	—	2	2	no	—
763	#127	—	2	2	no	—
764	#127	C₂³×C₁₃	1	1	yes	characteristic
765	#127	C₂³×C₁₃	1	1	yes	characteristic
766	#127	C₂³×C₁₃	1	1	yes	characteristic
767	#127	C₂³×C₁₃	1	2	yes	—
768	#127	C₂³×C₁₃	1	2	yes	—
769	#126	—	2	2	no	—
770	#126	—	2	2	no	—
771	#126	—	2	2	no	—
772	#126	D₄×C₁₃	1	2	yes	—
773	#125	—	2	2	no	—
774	#125	D₄×C₁₃	1	1	yes	characteristic
775	#125	C₂³×C₁₃	1	2	yes	—
776	#124	—	2	2	no	—
777	#124	—	2	1	no	—
778	#124	—	2	1	no	—
779	#124	D₄×C₁₃	1	1	yes	characteristic
780	#124	C₂³×C₁₃	1	2	yes	—
781	#124	C₂³×C₁₃	1	2	yes	—
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	#123	—	2	2	no	—
788	#123	—	2	2	no	—
789	#123	D₄×C₁₃	1	2	yes	—
790	C₂²⋊Q₈	—	2	1	no	—
791	C₂²⋊Q₈	—	2	1	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
794	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
795	#121	—	2	1	no	—
796	#121	—	2	2	no	—
797	#121	—	2	1	no	—
798	#121	—	2	1	no	—
799	#121	—	2	1	no	—
800	#121	—	2	1	no	—
801	#121	—	2	1	no	—
802	#121	—	2	1	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	—	2	1	no	—
806	#121	—	2	2	no	—
807	#121	—	2	2	no	—
808	#121	—	2	2	no	—
809	#121	—	2	2	no	—
810	#121	—	2	2	no	—
811	#121	—	2	2	no	—
812	#121	—	2	2	no	—
813	#121	—	2	2	no	—
814	#121	—	2	2	no	—
815	#121	—	2	2	no	—
816	#121	D₄×C₁₃	1	1	yes	characteristic
817	#121	C₂³×C₁₃	1	1	yes	characteristic
818	#121	C₂³×C₁₃	1	1	yes	characteristic
819	#121	C₂³×C₁₃	1	2	yes	—
820	#121	C₂³×C₁₃	1	2	yes	—
821	#121	C₂³×C₁₃	1	2	yes	—
822	#121	C₂³×C₁₃	1	2	yes	—
823	#120	—	2	2	no	—
824	#120	—	2	2	no	—
825	#120	—	2	2	no	—
826	#120	—	2	2	no	—
827	C₄×Q₈	—	2	1	no	—
828	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
829	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
831	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
832	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	—	2	2	no	—
837	C₄×D₄	—	2	2	no	—
838	C₄×D₄	—	2	2	no	—
839	C₄×D₄	—	2	2	no	—
840	C₄×D₄	—	2	2	no	—
841	C₄×D₄	—	2	1	no	—
842	C₄×D₄	—	2	1	no	—
843	C₄×D₄	—	2	1	no	—
844	C₄×D₄	—	2	1	no	—
845	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
846	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
847	C₄×D₄	C₂³×C₁₃	1	2	yes	—
848	C₄×D₄	C₂³×C₁₃	1	2	yes	—
849	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
850	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
851	C₄×D₄	C₂³×C₁₃	1	2	yes	—
852	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
853	C₄×D₄	C₂³×C₁₃	1	2	yes	—
854	#117	—	2	2	no	—
855	#117	—	2	1	no	—
856	#117	—	2	1	no	—
857	#117	C₂³×C₁₃	1	1	yes	characteristic
858	#117	C₂³×C₁₃	1	2	yes	—
859	C₂×C₄⋊C₄	—	2	2	no	—
860	C₂×C₄⋊C₄	—	2	1	no	—
861	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
862	C₂×C₂²⋊C₄	—	2	2	no	—
863	C₂×C₄²	—	2	1	no	—
864	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
865	#107	C₂³×C₁₃	1	1	yes	characteristic
866	#107	C₂³×C₁₃	1	1	yes	characteristic
867	#107	C₂³×C₁₃	1	2	yes	—
868	#107	C₂³×C₁₃	1	2	yes	—
869	#106	C₂³×C₁₃	1	1	yes	characteristic
870	#106	C₂³×C₁₃	1	1	yes	characteristic
871	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
872	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
873	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
876	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
877	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
878	#103	C₂³×C₁₃	1	2	yes	—
879	#103	C₂³×C₁₃	1	2	yes	—
880	#103	C₂³×C₁₃	1	2	yes	—
881	#103	C₂³×C₁₃	1	1	yes	characteristic
882	#103	C₂³×C₁₃	1	1	yes	characteristic
883	#103	C₂³×C₁₃	1	2	yes	—
884	#102	C₂³×C₁₃	1	1	yes	characteristic
885	#102	C₂³×C₁₃	1	2	yes	—
886	#102	C₂³×C₁₃	1	2	yes	—
887	#102	C₂³×C₁₃	1	2	yes	—
888	#102	C₂³×C₁₃	1	2	yes	—
889	#102	C₂³×C₁₃	1	1	yes	characteristic
890	#102	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
895	#102	C₂³×C₁₃	1	1	yes	characteristic
896	#102	C₂³×C₁₃	1	2	yes	—
897	#102	C₂³×C₁₃	1	2	yes	—
898	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
899	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
900	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
901	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
902	#97	C₂³×C₁₃	1	2	yes	—
903	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
904	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
905	C₄×C₈	C₂³×C₁₃	1	2	yes	—
906	C₂×C₁₃	—	4	1	no	—
907	C₂×C₁₃	—	4	2	no	—
908	C₂×C₁₃	—	8	1	no	—
909	C₂×C₁₃	—	8	2	no	—
910	C₂×C₁₃	—	8	1	no	—
911	C₂×C₁₃	—	8	2	no	—
912	C₂×C₁₃	—	8	1	no	—
913	C₂×C₁₃	#3488	1	1	yes	characteristic
914	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
915	C₂×C₁₃	#3584	1	1	yes	characteristic
916	C₂⁴	—	2	2	no	—
917	#41	—	2	2	no	—
918	#41	—	2	4	no	—
919	#41	—	4	2	no	—
920	#41	—	4	1	no	—
921	#41	—	4	2	no	—
922	#41	—	4	2	no	—
923	#41	—	4	2	no	—
924	#41	—	4	2	no	—
925	#41	—	8	2	no	—
926	#41	—	8	2	no	—
927	#41	—	8	2	no	—
928	#41	—	8	2	no	—
929	#41	—	8	2	no	—
930	C₂×Q₈	—	2	1	no	—
931	C₂×Q₈	—	2	1	no	—
932	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
933	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
934	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
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	2	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	2	no	—
942	C₂×D₄	—	2	2	no	—
943	C₂×D₄	—	2	2	no	—
944	C₂×D₄	—	2	1	no	—
945	C₂×D₄	—	2	1	no	—
946	C₂×D₄	—	2	1	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	—	2	2	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	2	no	—
956	C₂×D₄	—	4	2	no	—
957	C₂×D₄	—	4	2	no	—
958	C₂×D₄	—	8	2	no	—
959	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
960	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
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	2	yes	—
965	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	2	no	—
974	C₂²×C₄	—	2	2	no	—
975	C₂²×C₄	—	2	2	no	—
976	C₂²×C₄	—	2	2	no	—
977	C₂²×C₄	—	2	2	no	—
978	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
979	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
980	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
982	Q₁₆	—	2	4	no	—
983	SD₁₆	—	2	2	no	—
984	SD₁₆	—	2	4	no	—
985	SD₁₆	—	2	2	no	—
986	SD₁₆	—	4	2	no	—
987	SD₁₆	—	4	2	no	—
988	SD₁₆	—	4	2	no	—
989	D₈	—	4	2	no	—
990	D₈	—	4	2	no	—
991	D₈	—	4	2	no	—
992	D₈	—	4	2	no	—
993	D₈	—	4	1	no	—
994	D₈	—	4	2	no	—
995	D₈	—	4	1	no	—
996	M₁₆	—	4	2	no	—
997	C₂×C₈	—	4	2	no	—
998	C₂×C₈	—	4	2	no	—
999	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1002	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1003	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	1	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	1	no	—
1011	C₄⋊C₄	—	2	1	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	2	1	no	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1018	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1019	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1020	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1021	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1022	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1023	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1025	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1026	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1027	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	1	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	1	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	1	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	2	no	—
1043	C₂²⋊C₄	—	2	2	no	—
1044	C₂²⋊C₄	—	2	1	no	—
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	—	2	1	no	—
1047	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1048	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1049	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1050	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1051	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1052	C₄²	—	2	1	no	—
1053	C₄²	—	2	1	no	—
1054	C₄²	—	2	1	no	—
1055	C₄²	—	2	2	no	—
1056	C₄²	—	2	2	no	—
1057	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1060	C₄²	C₂⁴×C₁₃	1	2	yes	—
1061	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1062	C₁₃	#62074	1	1	yes	characteristic, direct product factor, Sylow
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	2	no	—
1066	C₂³	—	2	2	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	8	2	no	—
1069	C₂³	—	8	2	no	—
1070	C₂³	—	8	2	no	—
1071	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1072	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1073	Q₈	—	2	2	no	—
1074	Q₈	—	2	1	no	—
1075	Q₈	—	2	2	no	—
1076	Q₈	—	2	2	no	—
1077	Q₈	—	4	2	no	—
1078	Q₈	—	8	1	no	—
1079	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1080	D₄	—	2	2	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	2	2	no	—
1084	D₄	—	2	1	no	—
1085	D₄	—	2	1	no	—
1086	D₄	—	2	1	no	—
1087	D₄	—	2	2	no	—
1088	D₄	—	2	1	no	—
1089	D₄	—	2	2	no	—
1090	D₄	—	2	1	no	—
1091	D₄	—	4	2	no	—
1092	D₄	—	4	2	no	—
1093	D₄	—	4	4	no	—
1094	D₄	—	4	2	no	—
1095	D₄	—	4	2	no	—
1096	D₄	—	8	2	no	—
1097	D₄	—	8	1	no	—
1098	D₄	—	8	1	no	—
1099	D₄	—	8	1	no	—
1100	D₄	—	8	2	no	—
1101	D₄	—	8	2	no	—
1102	D₄	—	8	1	no	—
1103	D₄	—	8	2	no	—
1104	D₄	—	8	2	no	—
1105	D₄	—	8	2	no	—
1106	D₄	—	8	2	no	—
1107	D₄	—	8	2	no	—
1108	D₄	—	8	2	no	—
1109	D₄	—	8	1	no	—
1110	D₄	—	8	1	no	—
1111	D₄	—	8	2	no	—
1112	D₄	—	8	2	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	2	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	4	1	no	—
1126	C₂×C₄	—	4	2	no	—
1127	C₂×C₄	—	4	4	no	—
1128	C₂×C₄	—	4	2	no	—
1129	C₂×C₄	—	4	2	no	—
1130	C₂×C₄	—	4	2	no	—
1131	C₂×C₄	—	8	1	no	—
1132	C₂×C₄	—	8	2	no	—
1133	C₂×C₄	—	8	2	no	—
1134	C₂×C₄	—	8	2	no	—
1135	C₂×C₄	—	8	2	no	—
1136	C₂×C₄	—	8	2	no	—
1137	C₂×C₄	—	8	2	no	—
1138	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1139	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1140	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1141	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1142	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1143	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1144	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1145	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1146	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1147	C₈	—	2	2	no	—
1148	C₈	—	2	1	no	—
1149	C₈	—	2	2	no	—
1150	C₈	—	2	1	no	—
1151	C₈	—	2	1	no	—
1152	C₈	—	2	1	no	—
1153	C₂²	—	2	1	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	1	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	2	1	no	—
1158	C₂²	—	2	2	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	1	no	—
1162	C₂²	—	4	2	no	—
1163	C₂²	—	4	2	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	2	no	—
1167	C₂²	—	4	2	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	2	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	2	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	16	4	no	—
1175	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1176	C₄	—	2	1	no	—
1177	C₄	—	2	2	no	—
1178	C₄	—	2	1	no	—
1179	C₄	—	2	1	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	1	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	4	1	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	2	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	2	no	—
1190	C₄	C₁₃×#576	1	2	yes	—
1191	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1192	C₄	C₁₃×#585	1	1	yes	characteristic
1193	C₂	—	4	2	no	—
1194	C₂	—	4	1	no	—
1195	C₂	—	8	1	no	—
1196	C₂	—	8	2	no	—
1197	C₂	—	8	1	no	—
1198	C₂	—	8	1	no	—
1199	C₂	—	8	2	no	—
1200	C₂	C₁₃×#3488	1	1	yes	characteristic
1201	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1202	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3546	C₂	semidirect
2. C₁₃×#3517	C₂	semidirect
3. C₁₃×#3397	C₂	semidirect
4. C₁₃×#3391	C₂	semidirect
5. C₁₃×#3368	C₂	semidirect
6. C₁₃×#3364	C₂	semidirect
7. C₁₃×#3330	C₂	semidirect
8. C₁₃×#3309	C₂	semidirect
9. C₁₃×#3297	C₂	semidirect
10. C₁₃×#3294	C₂	semidirect
11. C₁₃×#3287	C₂	semidirect
12. C₁₃×#3284	C₂	semidirect
13. C₁₃×#3274	C₂	semidirect
14. C₁₃×#3268	C₂	semidirect
15. C₁₃×#3257	C₂	semidirect
16. C₁₃×#3245	C₂	semidirect
17. C₁₃×#3220	C₂	semidirect
18. C₁₃×#3207	C₂	semidirect
19. C₁₃×#3124	C₂	semidirect
20. C₁₃×#3106	C₂	semidirect
21. C₁₃×#3045	C₂	semidirect
22. C₁₃×#3035	C₂	semidirect
23. C₁₃×#2994	C₂	semidirect
25. C₂×C₁₃×#135	C₂²	semidirect
26. C₂×C₁₃×#135	C₂²	semidirect
28. C₁₃×#557	C₂²	semidirect
32. C₁₃×#553	C₂²	semidirect
37. C₁₃×#550	C₂²	semidirect
38. C₁₃×#550	C₂²	semidirect
47. C₁₃×#540	C₂²	semidirect
55. C₁₃×#532	C₂²	semidirect
58. C₁₃×#520	C₂²	semidirect
59. C₄×C₁₃×#41	C₂²	semidirect
62. C₁₃×#493	C₂²	semidirect
63. C₁₃×#492	C₂²	semidirect
64. C₁₃×#490	C₂²	semidirect
66. C₁₃×#487	C₂²	semidirect
68. C₁₃×#484	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
72. C₁₃×#479	C₂²	semidirect
73. C₁₃×#478	C₂²	semidirect
74. C₁₃×#477	C₂²	semidirect
75. C₁₃×#476	C₂²	semidirect
77. C₁₃×#474	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
80. C₁₃×#468	C₂²	semidirect
83. C₁₃×#466	C₂²	semidirect
84. C₁₃×#465	C₂²	semidirect
86. C₁₃×#464	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#462	C₂²	semidirect
92. C₁₃×#461	C₂²	semidirect
95. C₁₃×#460	C₂²	semidirect
96. C₁₃×#460	C₂²	semidirect
101. C₁₃×#459	C₂²	semidirect
102. C₁₃×#459	C₂²	semidirect
103. C₁₃×#459	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
109. C₁₃×#449	C₂²	semidirect
110. C₁₃×#449	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
114. C₁₃×#446	C₂²	semidirect
115. C₈×Q₈×C₁₃	C₂²	semidirect
116. C₁₃×#440	C₂²	semidirect
117. C₁₃×#440	C₂²	semidirect
118. C₄×C₁₃×Q₁₆	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
122. C₄×C₁₃×D₈	C₂²	semidirect
123. C₄×C₁₃×D₈	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
127. C₈×D₄×C₁₃	C₂²	semidirect
128. C₁₃×#433	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#424	C₂²	semidirect
131. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
132. C₁₃×#417	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
315. #62074	C₁₃	direct (N × H)
462. #3546	C₂×C₁₃	semidirect
463. #3517	C₂×C₁₃	semidirect
464. #3397	C₂×C₁₃	semidirect
465. #3391	C₂×C₁₃	semidirect
466. #3368	C₂×C₁₃	semidirect
467. #3364	C₂×C₁₃	semidirect
468. #3330	C₂×C₁₃	semidirect
469. #3309	C₂×C₁₃	semidirect
470. #3297	C₂×C₁₃	semidirect
471. #3294	C₂×C₁₃	semidirect
472. #3287	C₂×C₁₃	semidirect
473. #3284	C₂×C₁₃	semidirect
474. #3274	C₂×C₁₃	semidirect
475. #3268	C₂×C₁₃	semidirect
476. #3257	C₂×C₁₃	semidirect
477. #3245	C₂×C₁₃	semidirect
478. #3220	C₂×C₁₃	semidirect
479. #3207	C₂×C₁₃	semidirect
480. #3124	C₂×C₁₃	semidirect
481. #3106	C₂×C₁₃	semidirect
482. #3045	C₂×C₁₃	semidirect
483. #3035	C₂×C₁₃	semidirect
484. #2994	C₂×C₁₃	semidirect
576. C₂×#135	C₂²×C₁₃	semidirect
577. C₂×#135	C₂²×C₁₃	semidirect
579. #557	C₂²×C₁₃	semidirect
583. #553	C₂²×C₁₃	semidirect
588. #550	C₂²×C₁₃	semidirect
589. #550	C₂²×C₁₃	semidirect
598. #540	C₂²×C₁₃	semidirect
606. #532	C₂²×C₁₃	semidirect
609. #520	C₂²×C₁₃	semidirect
610. C₄×#41	C₂²×C₁₃	semidirect
613. #493	C₂²×C₁₃	semidirect
614. #492	C₂²×C₁₃	semidirect
615. #490	C₂²×C₁₃	semidirect
617. #487	C₂²×C₁₃	semidirect
619. #484	C₂²×C₁₃	semidirect
621. #482	C₂²×C₁₃	semidirect
623. #479	C₂²×C₁₃	semidirect
624. #478	C₂²×C₁₃	semidirect
625. #477	C₂²×C₁₃	semidirect
626. #476	C₂²×C₁₃	semidirect
628. #474	C₂²×C₁₃	semidirect
629. #474	C₂²×C₁₃	semidirect
631. #468	C₂²×C₁₃	semidirect
634. #466	C₂²×C₁₃	semidirect
635. #465	C₂²×C₁₃	semidirect
637. #464	C₂²×C₁₃	semidirect
639. #463	C₂²×C₁₃	semidirect
640. #463	C₂²×C₁₃	semidirect
641. #463	C₂²×C₁₃	semidirect
642. #462	C₂²×C₁₃	semidirect
643. #461	C₂²×C₁₃	semidirect
646. #460	C₂²×C₁₃	semidirect
647. #460	C₂²×C₁₃	semidirect
652. #459	C₂²×C₁₃	semidirect
653. #459	C₂²×C₁₃	semidirect
654. #459	C₂²×C₁₃	semidirect
655. #452	C₂²×C₁₃	semidirect
658. #449	C₂²×C₁₃	semidirect
659. #449	C₂²×C₁₃	semidirect
660. #449	C₂²×C₁₃	semidirect
661. #449	C₂²×C₁₃	semidirect
662. #449	C₂²×C₁₃	semidirect
665. #446	C₂²×C₁₃	semidirect
666. C₈×Q₈	C₂²×C₁₃	semidirect
667. #440	C₂²×C₁₃	semidirect
668. #440	C₂²×C₁₃	semidirect
669. C₄×Q₁₆	C₂²×C₁₃	semidirect
671. C₄×SD₁₆	C₂²×C₁₃	semidirect
673. C₄×D₈	C₂²×C₁₃	semidirect
674. C₄×D₈	C₂²×C₁₃	semidirect
676. #435	C₂²×C₁₃	semidirect
678. C₈×D₄	C₂²×C₁₃	semidirect
679. #433	C₂²×C₁₃	semidirect
680. #431	C₂²×C₁₃	semidirect
681. #424	C₂²×C₁₃	semidirect
682. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
683. #417	C₂²×C₁₃	semidirect
684. #416	C₂²×C₁₃	semidirect
1062. C₁₃	#62074	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×#3546	2
C₁₃×#3517	2
C₁₃×#3397	2
C₁₃×#3391	2
C₁₃×#3368	2
C₁₃×#3364	2
C₁₃×#3330	2
C₁₃×#3309	2
C₁₃×#3297	2
C₁₃×#3294	2
C₁₃×#3287	2
C₁₃×#3284	2
C₁₃×#3274	2
C₁₃×#3268	2
C₁₃×#3257	2
C₁₃×#3245	2
C₁₃×#3220	2
C₁₃×#3207	2
C₁₃×#3124	2
C₁₃×#3106	2
C₁₃×#3045	2
C₁₃×#3035	2
C₁₃×#2994	2
#62074	13

Subgroups — C13×#62074 #15748413

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62074 #15748413