Subgroups — C₁₃×#61970 #15748309

Order 3328.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3253	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3038	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
26	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
27	C₁₃×#559	—	2	1	no	—
28	C₁₃×#559	—	2	1	no	—
29	C₁₃×#559	C₂²	1	2	yes	—
30	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#556	—	2	1	no	—
33	C₁₃×#556	C₂²	1	1	yes	characteristic
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#553	C₂²	1	1	yes	characteristic
37	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#550	—	2	1	no	—
39	C₁₃×#550	C₂²	1	1	yes	characteristic
40	C₁₃×#550	C₂²	1	2	yes	—
41	C₁₃×#548	C₂²	1	1	yes	characteristic
42	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#546	—	2	1	no	—
44	C₁₃×#546	—	2	1	no	—
45	C₁₃×#546	C₂²	1	2	yes	—
46	C₁₃×#546	C₂²	1	2	yes	—
47	C₁₃×#540	—	2	1	no	—
48	C₁₃×#540	—	2	1	no	—
49	C₁₃×#535	—	2	1	no	—
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#532	—	2	1	no	—
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
58	C₁₃×#529	—	2	1	no	—
59	C₁₃×#529	—	2	1	no	—
60	C₁₃×#529	C₂²	1	1	yes	characteristic
61	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#518	—	2	1	no	—
63	C₄×C₁₃×#41	—	2	1	no	—
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#496	C₂²	1	2	yes	—
69	C₁₃×#496	C₂²	1	2	yes	complemented
70	C₁₃×#495	C₂²	1	2	yes	complemented
71	C₁₃×#490	C₂²	1	2	yes	—
72	C₁₃×#489	C₂²	1	2	yes	complemented
73	C₁₃×#488	C₂²	1	2	yes	complemented
74	C₁₃×#485	C₂²	1	2	yes	—
75	C₁₃×#482	C₂²	1	2	yes	complemented
76	C₁₃×#480	C₂²	1	2	yes	complemented
77	C₁₃×#479	C₂²	1	2	yes	complemented
78	C₁₃×#478	C₂²	1	2	yes	complemented
79	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#476	C₂²	1	2	yes	complemented
82	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#470	C₂²	1	2	yes	—
85	C₁₃×#469	C₂²	1	2	yes	complemented
86	C₁₃×#469	C₂²	1	2	yes	complemented
87	C₁₃×#468	C₂²	1	2	yes	—
88	C₁₃×#466	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#464	C₂²	1	2	yes	complemented
93	C₁₃×#464	C₂²	1	2	yes	complemented
94	C₁₃×#463	C₂²	1	2	yes	complemented
95	C₁₃×#463	C₂²	1	2	yes	complemented
96	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#460	C₂²	1	2	yes	—
101	C₁₃×#460	C₂²	1	1	yes	characteristic
102	C₁₃×#460	C₂²	1	1	yes	characteristic
103	C₁₃×#460	C₂²	1	1	yes	characteristic
104	C₁₃×#460	C₂²	1	1	yes	characteristic
105	C₁₃×#459	C₂²	1	1	yes	characteristic
106	C₁₃×#459	C₂²	1	2	yes	—
107	C₁₃×#459	C₂²	1	1	yes	characteristic
108	C₁₃×#459	C₂²	1	1	yes	characteristic
109	C₁₃×#459	C₂²	1	1	yes	characteristic
110	C₁₃×#459	C₂²	1	2	yes	complemented
111	C₁₃×#452	C₂²	1	2	yes	—
112	C₁₃×#452	C₂²	1	2	yes	complemented
113	C₁₃×#450	C₂²	1	2	yes	—
114	C₁₃×#449	C₂²	1	2	yes	complemented
115	C₁₃×#449	C₂²	1	2	yes	complemented
116	C₁₃×#449	C₂²	1	2	yes	complemented
117	C₁₃×#449	C₂²	1	2	yes	complemented
118	C₁₃×#448	C₂²	1	2	yes	complemented
119	C₁₃×#447	C₂²	1	2	yes	—
120	C₁₃×#446	C₂²	1	2	yes	complemented
121	C₁₃×#441	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₁₃×#440	C₂²	1	2	yes	complemented
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
127	C₁₃×#436	C₂²	1	2	yes	—
128	C₁₃×#435	C₂²	1	2	yes	—
129	C₁₃×#435	C₂²	1	2	yes	complemented
130	C₁₃×#432	C₂²	1	1	yes	characteristic
131	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#423	C₂²	1	1	yes	characteristic
134	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#418	C₂²	1	2	yes	—
137	C₁₃×#417	C₂²	1	2	yes	complemented
138	C₁₃×#416	C₂²	1	2	yes	complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×#41	C₂³	1	2	yes	—
146	C₂×C₁₃×#41	C₂³	1	2	yes	—
147	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃	—	2	1	no	—
149	C₂²×D₄×C₁₃	—	2	1	no	—
150	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
151	C₁₃×#137	—	4	4	no	—
152	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
153	C₁₃×#135	—	4	4	no	—
154	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×D₈	C₂³	1	2	yes	—
164	C₂×C₁₃×D₈	C₂³	1	2	yes	—
165	C₂×C₁₃×D₈	C₂³	1	2	yes	—
166	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
167	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
168	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
169	C₁₃×C₄⋊Q₈	—	2	1	no	—
170	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
173	C₁₃×#127	—	2	1	no	—
174	C₁₃×#127	—	2	2	no	—
175	C₁₃×#127	—	2	1	no	—
176	C₁₃×#127	—	2	1	no	—
177	C₁₃×#127	C₂³	1	1	yes	characteristic
178	C₁₃×#127	C₂³	1	1	yes	characteristic
179	C₁₃×#127	C₂³	1	2	yes	—
180	C₁₃×#127	C₂³	1	1	yes	characteristic
181	C₁₃×#126	—	2	1	no	—
182	C₁₃×#126	—	2	1	no	—
183	C₁₃×#126	—	2	1	no	—
184	C₁₃×#126	—	2	1	no	—
185	C₁₃×#126	—	2	1	no	—
186	C₁₃×#126	—	2	1	no	—
187	C₁₃×#125	—	2	1	no	—
188	C₁₃×#125	—	2	1	no	—
189	C₁₃×#125	—	2	1	no	—
190	C₁₃×#125	C₂³	1	1	yes	characteristic
191	C₁₃×#125	C₂³	1	1	yes	characteristic
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	2	no	—
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	—	2	1	no	—
200	C₁₃×#124	C₂³	1	1	yes	characteristic
201	C₁₃×#124	C₂³	1	2	yes	—
202	C₁₃×#124	C₂³	1	2	yes	—
203	C₁₃×#124	C₂³	1	1	yes	characteristic
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×#123	—	2	2	no	—
211	C₁₃×#123	—	2	2	no	—
212	C₁₃×#123	—	2	1	no	—
213	C₁₃×#123	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	2	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	2	no	—
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	2	yes	—
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	1	yes	characteristic
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₁₃×#121	C₂³	1	2	yes	—
243	C₁₃×#120	—	2	2	no	—
244	C₁₃×#120	—	2	2	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	—	2	1	no	—
248	C₄×Q₈×C₁₃	—	2	1	no	—
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
255	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	2	no	—
268	C₄×D₄×C₁₃	—	2	2	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	—	2	1	no	—
275	C₄×D₄×C₁₃	—	2	1	no	—
276	C₄×D₄×C₁₃	—	2	1	no	—
277	C₄×D₄×C₁₃	—	2	1	no	—
278	C₄×D₄×C₁₃	—	2	1	no	—
279	C₄×D₄×C₁₃	—	2	1	no	—
280	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
281	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
282	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
283	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₁₃	C₂³	1	2	yes	—
285	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	C₂³	1	2	yes	—
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
292	C₁₃×#117	—	2	1	no	—
293	C₁₃×#117	—	2	1	no	—
294	C₁₃×#117	—	2	1	no	—
295	C₁₃×#117	—	2	1	no	—
296	C₁₃×#117	—	2	1	no	—
297	C₁₃×#117	D₄	1	1	yes	characteristic
298	C₁₃×#117	D₄	1	1	yes	characteristic
299	C₁₃×#117	D₄	1	1	yes	characteristic
300	C₁₃×#117	C₂³	1	1	yes	characteristic
301	C₁₃×#117	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
305	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
306	C₂×C₄²×C₁₃	—	2	1	no	—
307	C₂×C₄²×C₁₃	—	2	1	no	—
308	C₂×C₄²×C₁₃	—	2	1	no	—
309	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
312	C₁₃×#107	C₂³	1	2	yes	—
313	C₁₃×#107	C₂³	1	2	yes	—
314	C₁₃×#106	C₂³	1	2	yes	—
315	C₁₃×#106	C₂³	1	2	yes	—
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#102	C₂³	1	2	yes	—
330	C₁₃×#102	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×#102	C₂³	1	2	yes	—
339	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
341	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₃×#97	C₂³	1	2	yes	—
343	C₁₃×#97	C₂³	1	2	yes	—
344	C₄×C₈×C₁₃	C₂³	1	2	yes	—
345	#61970	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
346	C₂⁴×C₁₃	—	2	2	no	—
347	C₁₃×#41	—	2	2	no	—
348	C₁₃×#41	—	2	2	no	—
349	C₁₃×#41	—	4	2	no	—
350	C₁₃×#41	—	4	1	no	—
351	C₁₃×#41	—	4	1	no	—
352	C₁₃×#41	—	4	4	no	—
353	C₁₃×#41	—	4	2	no	—
354	C₁₃×#41	—	4	2	no	—
355	C₁₃×#41	—	4	2	no	—
356	C₁₃×#41	—	4	2	no	—
357	C₁₃×#41	—	8	2	no	—
358	C₁₃×#41	—	8	2	no	—
359	C₂×Q₈×C₁₃	—	2	1	no	—
360	C₂×Q₈×C₁₃	—	2	1	no	—
361	C₂×Q₈×C₁₃	—	2	1	no	—
362	C₂×Q₈×C₁₃	—	2	2	no	—
363	C₂×Q₈×C₁₃	—	4	1	no	—
364	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
365	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
366	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	—	2	1	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	1	no	—
379	C₂×D₄×C₁₃	—	2	1	no	—
380	C₂×D₄×C₁₃	—	2	1	no	—
381	C₂×D₄×C₁₃	—	2	2	no	—
382	C₂×D₄×C₁₃	—	2	1	no	—
383	C₂×D₄×C₁₃	—	2	1	no	—
384	C₂×D₄×C₁₃	—	2	1	no	—
385	C₂×D₄×C₁₃	—	2	2	no	—
386	C₂×D₄×C₁₃	—	2	2	no	—
387	C₂×D₄×C₁₃	—	4	2	no	—
388	C₂×D₄×C₁₃	—	4	2	no	—
389	C₂×D₄×C₁₃	—	4	4	no	—
390	C₂×D₄×C₁₃	—	8	2	no	—
391	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
395	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
396	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	—	2	1	no	—
399	C₂²×C₄×C₁₃	—	2	1	no	—
400	C₂²×C₄×C₁₃	—	2	1	no	—
401	C₂²×C₄×C₁₃	—	2	1	no	—
402	C₂²×C₄×C₁₃	—	2	1	no	—
403	C₂²×C₄×C₁₃	—	2	1	no	—
404	C₂²×C₄×C₁₃	—	2	1	no	—
405	C₂²×C₄×C₁₃	—	2	1	no	—
406	C₂²×C₄×C₁₃	—	2	2	no	—
407	C₂²×C₄×C₁₃	—	2	2	no	—
408	C₂²×C₄×C₁₃	—	2	2	no	—
409	C₂²×C₄×C₁₃	—	2	2	no	—
410	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₁₃×Q₁₆	—	2	4	no	—
420	C₁₃×Q₁₆	—	4	2	no	—
421	C₁₃×SD₁₆	—	2	4	no	—
422	C₁₃×SD₁₆	—	2	4	no	—
423	C₁₃×SD₁₆	—	4	2	no	—
424	C₁₃×SD₁₆	—	4	2	no	—
425	C₁₃×SD₁₆	—	4	2	no	—
426	C₁₃×SD₁₆	—	4	2	no	—
427	C₁₃×D₈	—	4	2	no	—
428	C₁₃×D₈	—	4	2	no	—
429	C₁₃×D₈	—	4	2	no	—
430	C₁₃×D₈	—	4	2	no	—
431	C₁₃×M₁₆	—	4	2	no	—
432	C₁₃×M₁₆	—	4	2	no	—
433	C₂×C₈×C₁₃	—	4	2	no	—
434	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
435	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
436	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
437	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
438	C₁₃×C₄⋊C₄	—	2	1	no	—
439	C₁₃×C₄⋊C₄	—	2	1	no	—
440	C₁₃×C₄⋊C₄	—	2	1	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	—	2	1	no	—
444	C₁₃×C₄⋊C₄	—	2	1	no	—
445	C₁₃×C₄⋊C₄	—	2	1	no	—
446	C₁₃×C₄⋊C₄	—	2	1	no	—
447	C₁₃×C₄⋊C₄	—	2	1	no	—
448	C₁₃×C₄⋊C₄	—	2	1	no	—
449	C₁₃×C₄⋊C₄	—	2	1	no	—
450	C₁₃×C₄⋊C₄	—	2	1	no	—
451	C₁₃×C₄⋊C₄	—	2	1	no	—
452	C₁₃×C₄⋊C₄	—	2	1	no	—
453	C₁₃×C₄⋊C₄	—	2	1	no	—
454	C₁₃×C₄⋊C₄	—	2	1	no	—
455	C₁₃×C₄⋊C₄	—	2	2	no	—
456	C₁₃×C₄⋊C₄	—	2	2	no	—
457	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
458	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
459	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
460	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
461	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
462	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
463	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
464	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
465	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
466	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
467	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
468	C₁₃×C₂²⋊C₄	—	2	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	2	no	—
474	C₁₃×C₂²⋊C₄	—	2	2	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	no	—
478	C₁₃×C₂²⋊C₄	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	1	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	1	no	—
482	C₁₃×C₂²⋊C₄	—	2	1	no	—
483	C₁₃×C₂²⋊C₄	—	2	1	no	—
484	C₁₃×C₂²⋊C₄	—	2	1	no	—
485	C₁₃×C₂²⋊C₄	—	2	2	no	—
486	C₁₃×C₂²⋊C₄	—	2	2	no	—
487	C₁₃×C₂²⋊C₄	—	2	1	no	—
488	C₁₃×C₂²⋊C₄	—	2	1	no	—
489	C₁₃×C₂²⋊C₄	—	2	1	no	—
490	C₁₃×C₂²⋊C₄	—	2	1	no	—
491	C₁₃×C₂²⋊C₄	—	2	2	no	—
492	C₁₃×C₂²⋊C₄	—	2	2	no	—
493	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
494	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
495	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
496	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
497	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
498	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₁₃	—	2	1	no	—
500	C₄²×C₁₃	—	2	1	no	—
501	C₄²×C₁₃	—	2	1	no	—
502	C₄²×C₁₃	—	2	1	no	—
503	C₄²×C₁₃	—	2	1	no	—
504	C₄²×C₁₃	—	2	1	no	—
505	C₄²×C₁₃	—	2	1	no	—
506	C₄²×C₁₃	—	2	1	no	—
507	C₄²×C₁₃	—	2	2	no	—
508	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
512	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
518	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3480	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3403	C₂×C₁₃	1	2	yes	complemented
521	#3371	C₂×C₁₃	1	2	yes	complemented
522	#3322	C₂×C₁₃	1	2	yes	complemented
523	#3311	C₂×C₁₃	1	2	yes	complemented
524	#3309	C₂×C₁₃	1	2	yes	complemented
525	#3275	C₂×C₁₃	1	2	yes	complemented
526	#3271	C₂×C₁₃	1	2	yes	complemented
527	#3268	C₂×C₁₃	1	2	yes	complemented
528	#3253	C₂×C₁₃	1	1	yes	characteristic, complemented
529	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
530	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
531	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
532	#3214	C₂×C₁₃	1	1	yes	characteristic, complemented
533	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
534	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
535	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
536	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#3038	C₂×C₁₃	1	1	yes	characteristic, complemented
538	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
539	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
540	#2989	C₂×C₁₃	1	1	yes	characteristic, complemented
541	C₂³×C₁₃	—	2	1	no	—
542	C₂³×C₁₃	—	2	1	no	—
543	C₂³×C₁₃	—	2	2	no	—
544	C₂³×C₁₃	—	2	2	no	—
545	C₂³×C₁₃	—	4	4	no	—
546	C₂³×C₁₃	—	8	2	no	—
547	C₂³×C₁₃	—	8	2	no	—
548	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
551	Q₈×C₁₃	—	2	1	no	—
552	Q₈×C₁₃	—	2	1	no	—
553	Q₈×C₁₃	—	2	2	no	—
554	Q₈×C₁₃	—	2	1	no	—
555	Q₈×C₁₃	—	2	2	no	—
556	Q₈×C₁₃	—	4	1	no	—
557	Q₈×C₁₃	—	4	2	no	—
558	Q₈×C₁₃	—	4	2	no	—
559	Q₈×C₁₃	—	4	2	no	—
560	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
561	D₄×C₁₃	—	2	1	no	—
562	D₄×C₁₃	—	2	2	no	—
563	D₄×C₁₃	—	2	1	no	—
564	D₄×C₁₃	—	2	2	no	—
565	D₄×C₁₃	—	2	1	no	—
566	D₄×C₁₃	—	2	2	no	—
567	D₄×C₁₃	—	2	1	no	—
568	D₄×C₁₃	—	2	2	no	—
569	D₄×C₁₃	—	4	1	no	—
570	D₄×C₁₃	—	4	1	no	—
571	D₄×C₁₃	—	4	1	no	—
572	D₄×C₁₃	—	4	2	no	—
573	D₄×C₁₃	—	4	2	no	—
574	D₄×C₁₃	—	4	4	no	—
575	D₄×C₁₃	—	4	2	no	—
576	D₄×C₁₃	—	4	2	no	—
577	D₄×C₁₃	—	4	2	no	—
578	D₄×C₁₃	—	4	2	no	—
579	D₄×C₁₃	—	4	2	no	—
580	D₄×C₁₃	—	4	2	no	—
581	D₄×C₁₃	—	4	2	no	—
582	D₄×C₁₃	—	8	1	no	—
583	D₄×C₁₃	—	8	2	no	—
584	D₄×C₁₃	—	8	2	no	—
585	D₄×C₁₃	—	8	1	no	—
586	D₄×C₁₃	—	8	1	no	—
587	D₄×C₁₃	—	8	2	no	—
588	D₄×C₁₃	—	8	2	no	—
589	D₄×C₁₃	—	8	2	no	—
590	D₄×C₁₃	—	8	2	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	2	no	—
593	C₂×C₄×C₁₃	—	2	2	no	—
594	C₂×C₄×C₁₃	—	2	2	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	2	no	—
608	C₂×C₄×C₁₃	—	4	1	no	—
609	C₂×C₄×C₁₃	—	4	1	no	—
610	C₂×C₄×C₁₃	—	4	1	no	—
611	C₂×C₄×C₁₃	—	4	2	no	—
612	C₂×C₄×C₁₃	—	4	2	no	—
613	C₂×C₄×C₁₃	—	4	2	no	—
614	C₂×C₄×C₁₃	—	4	2	no	—
615	C₂×C₄×C₁₃	—	4	2	no	—
616	C₂×C₄×C₁₃	—	8	1	no	—
617	C₂×C₄×C₁₃	—	8	1	no	—
618	C₂×C₄×C₁₃	—	8	2	no	—
619	C₂×C₄×C₁₃	—	8	2	no	—
620	C₂×C₄×C₁₃	—	8	2	no	—
621	C₂×C₄×C₁₃	—	8	2	no	—
622	C₂×C₄×C₁₃	—	8	1	no	—
623	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
624	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
625	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
626	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
627	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
628	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
629	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
630	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
631	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
632	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
633	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
634	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
635	C₈×C₁₃	—	2	2	no	—
636	C₈×C₁₃	—	2	2	no	—
637	C₈×C₁₃	—	2	2	no	—
638	C₈×C₁₃	—	2	2	no	—
639	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
640	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
641	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
642	#559	—	2	1	no	—
643	#559	—	2	1	no	—
644	#559	C₂²×C₁₃	1	2	yes	—
645	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#556	—	2	1	no	—
648	#556	C₂²×C₁₃	1	1	yes	characteristic
649	#553	—	2	1	no	—
650	#553	—	2	1	no	—
651	#553	C₂²×C₁₃	1	1	yes	characteristic
652	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#550	—	2	1	no	—
654	#550	C₂²×C₁₃	1	1	yes	characteristic
655	#550	C₂²×C₁₃	1	2	yes	—
656	#548	C₂²×C₁₃	1	1	yes	characteristic
657	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	#546	—	2	1	no	—
659	#546	—	2	1	no	—
660	#546	C₂²×C₁₃	1	2	yes	—
661	#546	C₂²×C₁₃	1	2	yes	—
662	#540	—	2	1	no	—
663	#540	—	2	1	no	—
664	#535	—	2	1	no	—
665	#533	C₂²×C₁₃	1	1	yes	characteristic
666	#532	—	2	1	no	—
667	#532	C₂²×C₁₃	1	1	yes	characteristic
668	#532	C₂²×C₁₃	1	1	yes	characteristic
669	#532	C₂²×C₁₃	1	1	yes	characteristic
670	#532	C₂²×C₁₃	1	1	yes	characteristic
671	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
673	#529	—	2	1	no	—
674	#529	—	2	1	no	—
675	#529	C₂²×C₁₃	1	1	yes	characteristic
676	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#518	—	2	1	no	—
678	C₄×#41	—	2	1	no	—
679	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
680	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
681	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	#496	C₂²×C₁₃	1	2	yes	—
684	#496	C₂²×C₁₃	1	2	yes	complemented
685	#495	C₂²×C₁₃	1	2	yes	complemented
686	#490	C₂²×C₁₃	1	2	yes	—
687	#489	C₂²×C₁₃	1	2	yes	complemented
688	#488	C₂²×C₁₃	1	2	yes	complemented
689	#485	C₂²×C₁₃	1	2	yes	—
690	#482	C₂²×C₁₃	1	2	yes	complemented
691	#480	C₂²×C₁₃	1	2	yes	complemented
692	#479	C₂²×C₁₃	1	2	yes	complemented
693	#478	C₂²×C₁₃	1	2	yes	complemented
694	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
696	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	#476	C₂²×C₁₃	1	2	yes	complemented
698	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	#470	C₂²×C₁₃	1	2	yes	—
700	#469	C₂²×C₁₃	1	2	yes	complemented
701	#469	C₂²×C₁₃	1	2	yes	complemented
702	#468	C₂²×C₁₃	1	2	yes	—
703	#466	C₂²×C₁₃	1	2	yes	complemented
704	#465	C₂²×C₁₃	1	2	yes	complemented
705	#464	C₂²×C₁₃	1	2	yes	complemented
706	#464	C₂²×C₁₃	1	2	yes	complemented
707	#464	C₂²×C₁₃	1	2	yes	complemented
708	#464	C₂²×C₁₃	1	2	yes	complemented
709	#463	C₂²×C₁₃	1	2	yes	complemented
710	#463	C₂²×C₁₃	1	2	yes	complemented
711	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	#460	C₂²×C₁₃	1	1	yes	characteristic
716	#460	C₂²×C₁₃	1	1	yes	characteristic
717	#460	C₂²×C₁₃	1	1	yes	characteristic
718	#460	C₂²×C₁₃	1	2	yes	—
719	#460	C₂²×C₁₃	1	1	yes	characteristic
720	#459	C₂²×C₁₃	1	1	yes	characteristic
721	#459	C₂²×C₁₃	1	2	yes	—
722	#459	C₂²×C₁₃	1	1	yes	characteristic
723	#459	C₂²×C₁₃	1	1	yes	characteristic
724	#459	C₂²×C₁₃	1	1	yes	characteristic
725	#459	C₂²×C₁₃	1	2	yes	complemented
726	#452	C₂²×C₁₃	1	2	yes	—
727	#452	C₂²×C₁₃	1	2	yes	complemented
728	#450	C₂²×C₁₃	1	2	yes	—
729	#449	C₂²×C₁₃	1	2	yes	complemented
730	#449	C₂²×C₁₃	1	2	yes	complemented
731	#449	C₂²×C₁₃	1	2	yes	complemented
732	#449	C₂²×C₁₃	1	2	yes	complemented
733	#448	C₂²×C₁₃	1	2	yes	complemented
734	#447	C₂²×C₁₃	1	2	yes	—
735	#446	C₂²×C₁₃	1	2	yes	complemented
736	#441	C₂²×C₁₃	1	2	yes	complemented
737	#440	C₂²×C₁₃	1	2	yes	complemented
738	#440	C₂²×C₁₃	1	2	yes	complemented
739	#440	C₂²×C₁₃	1	2	yes	complemented
740	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
741	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
742	#436	C₂²×C₁₃	1	2	yes	—
743	#435	C₂²×C₁₃	1	2	yes	—
744	#435	C₂²×C₁₃	1	2	yes	complemented
745	#432	C₂²×C₁₃	1	1	yes	characteristic
746	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
747	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
748	#423	C₂²×C₁₃	1	1	yes	characteristic
749	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
750	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
751	#418	C₂²×C₁₃	1	2	yes	—
752	#417	C₂²×C₁₃	1	2	yes	complemented
753	#416	C₂²×C₁₃	1	2	yes	complemented
754	C₂²×C₁₃	—	2	1	no	—
755	C₂²×C₁₃	—	2	1	no	—
756	C₂²×C₁₃	—	2	1	no	—
757	C₂²×C₁₃	—	2	1	no	—
758	C₂²×C₁₃	—	2	1	no	—
759	C₂²×C₁₃	—	2	1	no	—
760	C₂²×C₁₃	—	2	1	no	—
761	C₂²×C₁₃	—	2	1	no	—
762	C₂²×C₁₃	—	2	1	no	—
763	C₂²×C₁₃	—	4	2	no	—
764	C₂²×C₁₃	—	4	2	no	—
765	C₂²×C₁₃	—	4	1	no	—
766	C₂²×C₁₃	—	4	1	no	—
767	C₂²×C₁₃	—	4	1	no	—
768	C₂²×C₁₃	—	4	1	no	—
769	C₂²×C₁₃	—	4	2	no	—
770	C₂²×C₁₃	—	4	2	no	—
771	C₂²×C₁₃	—	4	1	no	—
772	C₂²×C₁₃	—	4	1	no	—
773	C₂²×C₁₃	—	4	2	no	—
774	C₂²×C₁₃	—	4	2	no	—
775	C₂²×C₁₃	—	16	4	no	—
776	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
777	C₄×C₁₃	—	2	1	no	—
778	C₄×C₁₃	—	2	1	no	—
779	C₄×C₁₃	—	2	1	no	—
780	C₄×C₁₃	—	2	1	no	—
781	C₄×C₁₃	—	2	1	no	—
782	C₄×C₁₃	—	2	1	no	—
783	C₄×C₁₃	—	2	1	no	—
784	C₄×C₁₃	—	2	2	no	—
785	C₄×C₁₃	—	2	1	no	—
786	C₄×C₁₃	—	2	1	no	—
787	C₄×C₁₃	—	2	1	no	—
788	C₄×C₁₃	—	4	1	no	—
789	C₄×C₁₃	—	4	2	no	—
790	C₄×C₁₃	—	4	1	no	—
791	C₄×C₁₃	—	4	1	no	—
792	C₄×C₁₃	—	4	2	no	—
793	C₄×C₁₃	—	4	1	no	—
794	C₄×C₁₃	—	4	1	no	—
795	C₄×C₁₃	#575	1	2	yes	—
796	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
797	C₄×C₁₃	#585	1	1	yes	characteristic
798	C₂×#41	—	2	1	no	—
799	C₂×#41	—	2	1	no	—
800	C₂×#41	—	2	1	no	—
801	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
802	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
803	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
804	C₂×#41	C₂³×C₁₃	1	2	yes	—
805	C₂×#41	C₂³×C₁₃	1	2	yes	—
806	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
807	C₂²×D₄	—	2	1	no	—
808	C₂²×D₄	—	2	1	no	—
809	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
810	#137	—	4	4	no	—
811	AGL(1,ℤ/8)	—	4	4	no	—
812	#135	—	4	4	no	—
813	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
814	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
815	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
816	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
817	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
818	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
819	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
820	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
821	C₂×D₈	C₂³×C₁₃	1	2	yes	—
822	C₂×D₈	C₂³×C₁₃	1	2	yes	—
823	C₂×D₈	C₂³×C₁₃	1	2	yes	—
824	C₂×D₈	C₂³×C₁₃	1	2	yes	—
825	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
826	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
827	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
828	C₄⋊Q₈	—	2	1	no	—
829	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
832	#127	—	2	1	no	—
833	#127	—	2	2	no	—
834	#127	—	2	1	no	—
835	#127	—	2	1	no	—
836	#127	C₂³×C₁₃	1	1	yes	characteristic
837	#127	C₂³×C₁₃	1	1	yes	characteristic
838	#127	C₂³×C₁₃	1	2	yes	—
839	#127	C₂³×C₁₃	1	1	yes	characteristic
840	#126	—	2	1	no	—
841	#126	—	2	1	no	—
842	#126	—	2	1	no	—
843	#126	—	2	1	no	—
844	#126	—	2	1	no	—
845	#126	—	2	1	no	—
846	#125	—	2	1	no	—
847	#125	—	2	1	no	—
848	#125	—	2	1	no	—
849	#125	C₂³×C₁₃	1	1	yes	characteristic
850	#125	C₂³×C₁₃	1	1	yes	characteristic
851	#124	—	2	1	no	—
852	#124	—	2	2	no	—
853	#124	—	2	1	no	—
854	#124	—	2	1	no	—
855	#124	—	2	1	no	—
856	#124	—	2	1	no	—
857	#124	—	2	1	no	—
858	#124	—	2	1	no	—
859	#124	C₂³×C₁₃	1	1	yes	characteristic
860	#124	C₂³×C₁₃	1	1	yes	characteristic
861	#124	C₂³×C₁₃	1	2	yes	—
862	#124	C₂³×C₁₃	1	2	yes	—
863	#123	—	2	1	no	—
864	#123	—	2	1	no	—
865	#123	—	2	1	no	—
866	#123	—	2	1	no	—
867	#123	—	2	2	no	—
868	#123	—	2	2	no	—
869	#123	—	2	2	no	—
870	#123	—	2	2	no	—
871	#123	—	2	1	no	—
872	#123	—	2	1	no	—
873	C₂²⋊Q₈	—	2	1	no	—
874	C₂²⋊Q₈	—	2	1	no	—
875	C₂²⋊Q₈	—	2	1	no	—
876	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
877	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
879	#121	—	2	1	no	—
880	#121	—	2	1	no	—
881	#121	—	2	1	no	—
882	#121	—	2	1	no	—
883	#121	—	2	1	no	—
884	#121	—	2	1	no	—
885	#121	—	2	1	no	—
886	#121	—	2	1	no	—
887	#121	—	2	1	no	—
888	#121	—	2	1	no	—
889	#121	—	2	1	no	—
890	#121	—	2	1	no	—
891	#121	—	2	1	no	—
892	#121	—	2	2	no	—
893	#121	—	2	2	no	—
894	#121	—	2	2	no	—
895	#121	—	2	2	no	—
896	#121	C₂³×C₁₃	1	1	yes	characteristic
897	#121	C₂³×C₁₃	1	1	yes	characteristic
898	#121	C₂³×C₁₃	1	2	yes	—
899	#121	C₂³×C₁₃	1	2	yes	—
900	#121	C₂³×C₁₃	1	1	yes	characteristic
901	#121	C₂³×C₁₃	1	1	yes	characteristic
902	#120	—	2	2	no	—
903	#120	—	2	2	no	—
904	C₄×Q₈	—	2	1	no	—
905	C₄×Q₈	—	2	1	no	—
906	C₄×Q₈	—	2	1	no	—
907	C₄×Q₈	—	2	1	no	—
908	C₄×Q₈	—	2	1	no	—
909	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
910	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
911	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
912	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
913	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
914	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
915	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
916	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
917	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
918	C₄×D₄	—	2	1	no	—
919	C₄×D₄	—	2	1	no	—
920	C₄×D₄	—	2	1	no	—
921	C₄×D₄	—	2	1	no	—
922	C₄×D₄	—	2	1	no	—
923	C₄×D₄	—	2	1	no	—
924	C₄×D₄	—	2	1	no	—
925	C₄×D₄	—	2	1	no	—
926	C₄×D₄	—	2	2	no	—
927	C₄×D₄	—	2	2	no	—
928	C₄×D₄	—	2	1	no	—
929	C₄×D₄	—	2	1	no	—
930	C₄×D₄	—	2	1	no	—
931	C₄×D₄	—	2	1	no	—
932	C₄×D₄	—	2	1	no	—
933	C₄×D₄	—	2	1	no	—
934	C₄×D₄	—	2	1	no	—
935	C₄×D₄	—	2	1	no	—
936	C₄×D₄	—	2	1	no	—
937	C₄×D₄	—	2	1	no	—
938	C₄×D₄	—	2	1	no	—
939	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
940	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
941	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
942	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
944	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
945	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
946	C₄×D₄	C₂³×C₁₃	1	2	yes	—
947	C₄×D₄	C₂³×C₁₃	1	2	yes	—
948	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
949	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
950	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
951	#117	—	2	1	no	—
952	#117	—	2	1	no	—
953	#117	—	2	1	no	—
954	#117	—	2	1	no	—
955	#117	—	2	1	no	—
956	#117	D₄×C₁₃	1	1	yes	characteristic
957	#117	D₄×C₁₃	1	1	yes	characteristic
958	#117	D₄×C₁₃	1	1	yes	characteristic
959	#117	C₂³×C₁₃	1	1	yes	characteristic
960	#117	C₂³×C₁₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	—	2	1	no	—
962	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	—	2	2	no	—
964	C₂×C₂²⋊C₄	—	2	2	no	—
965	C₂×C₄²	—	2	1	no	—
966	C₂×C₄²	—	2	1	no	—
967	C₂×C₄²	—	2	1	no	—
968	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
969	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
970	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
971	#107	C₂³×C₁₃	1	2	yes	—
972	#107	C₂³×C₁₃	1	2	yes	—
973	#106	C₂³×C₁₃	1	2	yes	—
974	#106	C₂³×C₁₃	1	2	yes	—
975	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
976	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
977	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
978	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
979	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
980	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
981	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
982	#103	C₂³×C₁₃	1	2	yes	—
983	#103	C₂³×C₁₃	1	2	yes	—
984	#103	C₂³×C₁₃	1	2	yes	—
985	#103	C₂³×C₁₃	1	2	yes	—
986	#103	C₂³×C₁₃	1	2	yes	—
987	#103	C₂³×C₁₃	1	2	yes	—
988	#102	C₂³×C₁₃	1	2	yes	—
989	#102	C₂³×C₁₃	1	2	yes	—
990	#102	C₂³×C₁₃	1	2	yes	—
991	#102	C₂³×C₁₃	1	2	yes	—
992	#102	C₂³×C₁₃	1	2	yes	—
993	#102	C₂³×C₁₃	1	2	yes	—
994	#102	C₂³×C₁₃	1	2	yes	—
995	#102	C₂³×C₁₃	1	2	yes	—
996	#102	C₂³×C₁₃	1	2	yes	—
997	#102	C₂³×C₁₃	1	2	yes	—
998	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
999	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1000	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1001	#97	C₂³×C₁₃	1	2	yes	—
1002	#97	C₂³×C₁₃	1	2	yes	—
1003	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1004	C₂×C₁₃	—	4	1	no	—
1005	C₂×C₁₃	—	4	1	no	—
1006	C₂×C₁₃	—	4	1	no	—
1007	C₂×C₁₃	—	8	1	no	—
1008	C₂×C₁₃	—	8	1	no	—
1009	C₂×C₁₃	—	8	2	no	—
1010	C₂×C₁₃	—	8	2	no	—
1011	C₂×C₁₃	#3488	1	1	yes	characteristic
1012	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1013	C₂×C₁₃	#3585	1	1	yes	characteristic
1014	C₂⁴	—	2	2	no	—
1015	#41	—	2	2	no	—
1016	#41	—	2	2	no	—
1017	#41	—	4	2	no	—
1018	#41	—	4	1	no	—
1019	#41	—	4	1	no	—
1020	#41	—	4	4	no	—
1021	#41	—	4	2	no	—
1022	#41	—	4	2	no	—
1023	#41	—	4	2	no	—
1024	#41	—	4	2	no	—
1025	#41	—	8	2	no	—
1026	#41	—	8	2	no	—
1027	C₂×Q₈	—	2	1	no	—
1028	C₂×Q₈	—	2	1	no	—
1029	C₂×Q₈	—	2	1	no	—
1030	C₂×Q₈	—	2	2	no	—
1031	C₂×Q₈	—	4	1	no	—
1032	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1033	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1034	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1035	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1036	C₂×D₄	—	2	1	no	—
1037	C₂×D₄	—	2	1	no	—
1038	C₂×D₄	—	2	1	no	—
1039	C₂×D₄	—	2	1	no	—
1040	C₂×D₄	—	2	1	no	—
1041	C₂×D₄	—	2	1	no	—
1042	C₂×D₄	—	2	2	no	—
1043	C₂×D₄	—	2	2	no	—
1044	C₂×D₄	—	2	2	no	—
1045	C₂×D₄	—	2	2	no	—
1046	C₂×D₄	—	2	1	no	—
1047	C₂×D₄	—	2	1	no	—
1048	C₂×D₄	—	2	1	no	—
1049	C₂×D₄	—	2	2	no	—
1050	C₂×D₄	—	2	1	no	—
1051	C₂×D₄	—	2	1	no	—
1052	C₂×D₄	—	2	1	no	—
1053	C₂×D₄	—	2	2	no	—
1054	C₂×D₄	—	2	2	no	—
1055	C₂×D₄	—	4	2	no	—
1056	C₂×D₄	—	4	2	no	—
1057	C₂×D₄	—	4	4	no	—
1058	C₂×D₄	—	8	2	no	—
1059	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1060	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1061	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1063	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1064	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1065	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1066	C₂²×C₄	—	2	1	no	—
1067	C₂²×C₄	—	2	1	no	—
1068	C₂²×C₄	—	2	1	no	—
1069	C₂²×C₄	—	2	1	no	—
1070	C₂²×C₄	—	2	1	no	—
1071	C₂²×C₄	—	2	1	no	—
1072	C₂²×C₄	—	2	1	no	—
1073	C₂²×C₄	—	2	1	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	2	2	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1085	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1087	Q₁₆	—	2	4	no	—
1088	Q₁₆	—	4	2	no	—
1089	SD₁₆	—	2	4	no	—
1090	SD₁₆	—	2	4	no	—
1091	SD₁₆	—	4	2	no	—
1092	SD₁₆	—	4	2	no	—
1093	SD₁₆	—	4	2	no	—
1094	SD₁₆	—	4	2	no	—
1095	D₈	—	4	2	no	—
1096	D₈	—	4	2	no	—
1097	D₈	—	4	2	no	—
1098	D₈	—	4	2	no	—
1099	M₁₆	—	4	2	no	—
1100	M₁₆	—	4	2	no	—
1101	C₂×C₈	—	4	2	no	—
1102	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1103	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1104	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1105	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1106	C₄⋊C₄	—	2	1	no	—
1107	C₄⋊C₄	—	2	1	no	—
1108	C₄⋊C₄	—	2	1	no	—
1109	C₄⋊C₄	—	2	1	no	—
1110	C₄⋊C₄	—	2	1	no	—
1111	C₄⋊C₄	—	2	1	no	—
1112	C₄⋊C₄	—	2	1	no	—
1113	C₄⋊C₄	—	2	1	no	—
1114	C₄⋊C₄	—	2	1	no	—
1115	C₄⋊C₄	—	2	1	no	—
1116	C₄⋊C₄	—	2	1	no	—
1117	C₄⋊C₄	—	2	1	no	—
1118	C₄⋊C₄	—	2	1	no	—
1119	C₄⋊C₄	—	2	1	no	—
1120	C₄⋊C₄	—	2	1	no	—
1121	C₄⋊C₄	—	2	1	no	—
1122	C₄⋊C₄	—	2	1	no	—
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1126	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1127	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1128	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1129	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1130	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1131	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1132	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1133	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1134	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1135	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	1	no	—
1138	C₂²⋊C₄	—	2	1	no	—
1139	C₂²⋊C₄	—	2	1	no	—
1140	C₂²⋊C₄	—	2	1	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	2	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	2	2	no	—
1145	C₂²⋊C₄	—	2	1	no	—
1146	C₂²⋊C₄	—	2	1	no	—
1147	C₂²⋊C₄	—	2	1	no	—
1148	C₂²⋊C₄	—	2	1	no	—
1149	C₂²⋊C₄	—	2	1	no	—
1150	C₂²⋊C₄	—	2	1	no	—
1151	C₂²⋊C₄	—	2	1	no	—
1152	C₂²⋊C₄	—	2	1	no	—
1153	C₂²⋊C₄	—	2	2	no	—
1154	C₂²⋊C₄	—	2	2	no	—
1155	C₂²⋊C₄	—	2	1	no	—
1156	C₂²⋊C₄	—	2	1	no	—
1157	C₂²⋊C₄	—	2	1	no	—
1158	C₂²⋊C₄	—	2	1	no	—
1159	C₂²⋊C₄	—	2	2	no	—
1160	C₂²⋊C₄	—	2	2	no	—
1161	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1162	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1163	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1164	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1165	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1166	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1167	C₄²	—	2	1	no	—
1168	C₄²	—	2	1	no	—
1169	C₄²	—	2	1	no	—
1170	C₄²	—	2	1	no	—
1171	C₄²	—	2	1	no	—
1172	C₄²	—	2	1	no	—
1173	C₄²	—	2	1	no	—
1174	C₄²	—	2	1	no	—
1175	C₄²	—	2	2	no	—
1176	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1177	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1178	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1179	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1180	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1181	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1182	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1183	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1184	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1185	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₁₃	#61970	1	1	yes	characteristic, direct product factor, Sylow
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	2	no	—
1190	C₂³	—	2	2	no	—
1191	C₂³	—	4	4	no	—
1192	C₂³	—	8	2	no	—
1193	C₂³	—	8	2	no	—
1194	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1195	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1196	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1197	Q₈	—	2	1	no	—
1198	Q₈	—	2	1	no	—
1199	Q₈	—	2	2	no	—
1200	Q₈	—	2	1	no	—
1201	Q₈	—	2	2	no	—
1202	Q₈	—	4	1	no	—
1203	Q₈	—	4	2	no	—
1204	Q₈	—	4	2	no	—
1205	Q₈	—	4	2	no	—
1206	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1207	D₄	—	2	1	no	—
1208	D₄	—	2	2	no	—
1209	D₄	—	2	1	no	—
1210	D₄	—	2	2	no	—
1211	D₄	—	2	1	no	—
1212	D₄	—	2	2	no	—
1213	D₄	—	2	1	no	—
1214	D₄	—	2	2	no	—
1215	D₄	—	4	1	no	—
1216	D₄	—	4	1	no	—
1217	D₄	—	4	1	no	—
1218	D₄	—	4	2	no	—
1219	D₄	—	4	2	no	—
1220	D₄	—	4	4	no	—
1221	D₄	—	4	2	no	—
1222	D₄	—	4	2	no	—
1223	D₄	—	4	2	no	—
1224	D₄	—	4	2	no	—
1225	D₄	—	4	2	no	—
1226	D₄	—	4	2	no	—
1227	D₄	—	4	2	no	—
1228	D₄	—	8	2	no	—
1229	D₄	—	8	2	no	—
1230	D₄	—	8	1	no	—
1231	D₄	—	8	1	no	—
1232	D₄	—	8	1	no	—
1233	D₄	—	8	2	no	—
1234	D₄	—	8	2	no	—
1235	D₄	—	8	2	no	—
1236	D₄	—	8	2	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	1	no	—
1256	C₂×C₄	—	4	1	no	—
1257	C₂×C₄	—	4	2	no	—
1258	C₂×C₄	—	4	2	no	—
1259	C₂×C₄	—	4	2	no	—
1260	C₂×C₄	—	4	2	no	—
1261	C₂×C₄	—	4	2	no	—
1262	C₂×C₄	—	8	1	no	—
1263	C₂×C₄	—	8	1	no	—
1264	C₂×C₄	—	8	2	no	—
1265	C₂×C₄	—	8	2	no	—
1266	C₂×C₄	—	8	2	no	—
1267	C₂×C₄	—	8	2	no	—
1268	C₂×C₄	—	8	1	no	—
1269	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1270	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1271	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1272	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1273	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1274	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1275	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1276	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1277	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1278	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1279	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1280	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1281	C₈	—	2	2	no	—
1282	C₈	—	2	2	no	—
1283	C₈	—	2	2	no	—
1284	C₈	—	2	2	no	—
1285	C₂²	—	2	1	no	—
1286	C₂²	—	2	1	no	—
1287	C₂²	—	2	1	no	—
1288	C₂²	—	2	1	no	—
1289	C₂²	—	2	1	no	—
1290	C₂²	—	2	1	no	—
1291	C₂²	—	2	1	no	—
1292	C₂²	—	2	1	no	—
1293	C₂²	—	2	1	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	4	2	no	—
1298	C₂²	—	4	2	no	—
1299	C₂²	—	4	2	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	—	4	1	no	—
1303	C₂²	—	4	1	no	—
1304	C₂²	—	4	2	no	—
1305	C₂²	—	4	2	no	—
1306	C₂²	—	16	4	no	—
1307	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1308	C₄	—	2	1	no	—
1309	C₄	—	2	1	no	—
1310	C₄	—	2	1	no	—
1311	C₄	—	2	1	no	—
1312	C₄	—	2	1	no	—
1313	C₄	—	2	1	no	—
1314	C₄	—	2	1	no	—
1315	C₄	—	2	1	no	—
1316	C₄	—	2	1	no	—
1317	C₄	—	2	1	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	2	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	2	no	—
1326	C₄	C₁₃×#575	1	2	yes	—
1327	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1328	C₄	C₁₃×#585	1	1	yes	characteristic
1329	C₂	—	4	1	no	—
1330	C₂	—	4	1	no	—
1331	C₂	—	4	1	no	—
1332	C₂	—	8	2	no	—
1333	C₂	—	8	2	no	—
1334	C₂	—	8	1	no	—
1335	C₂	—	8	1	no	—
1336	C₂	C₁₃×#3488	1	1	yes	characteristic
1337	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1338	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×#3508	C₂	semidirect
2. C₁₃×#3480	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3371	C₂	semidirect
5. C₁₃×#3322	C₂	semidirect
6. C₁₃×#3311	C₂	semidirect
7. C₁₃×#3309	C₂	semidirect
8. C₁₃×#3275	C₂	semidirect
9. C₁₃×#3271	C₂	semidirect
10. C₁₃×#3268	C₂	semidirect
11. C₁₃×#3253	C₂	semidirect
12. C₁₃×#3252	C₂	semidirect
13. C₁₃×#3247	C₂	semidirect
14. C₁₃×#3217	C₂	semidirect
15. C₁₃×#3214	C₂	semidirect
16. C₁₃×#3212	C₂	semidirect
17. C₁₃×#3116	C₂	semidirect
18. C₁₃×#3112	C₂	semidirect
19. C₁₃×#3106	C₂	semidirect
20. C₁₃×#3038	C₂	semidirect
21. C₁₃×#3037	C₂	semidirect
22. C₁₃×#3035	C₂	semidirect
23. C₁₃×#2989	C₂	semidirect
24. C₂×C₁₃×#137	C₂²	semidirect
26. C₂×C₁₃×#135	C₂²	semidirect
30. C₁₃×#559	C₂²	semidirect
31. C₁₃×#557	C₂²	semidirect
37. C₁₃×#553	C₂²	semidirect
42. C₁₃×#548	C₂²	semidirect
56. C₁₃×#532	C₂²	semidirect
61. C₁₃×#529	C₂²	semidirect
66. C₄×C₁₃×#41	C₂²	semidirect
67. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
69. C₁₃×#496	C₂²	semidirect
70. C₁₃×#495	C₂²	semidirect
72. C₁₃×#489	C₂²	semidirect
73. C₁₃×#488	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
76. C₁₃×#480	C₂²	semidirect
77. C₁₃×#479	C₂²	semidirect
78. C₁₃×#478	C₂²	semidirect
79. C₁₃×#477	C₂²	semidirect
80. C₁₃×#477	C₂²	semidirect
81. C₁₃×#476	C₂²	semidirect
82. C₁₃×#476	C₂²	semidirect
83. C₁₃×#476	C₂²	semidirect
85. C₁₃×#469	C₂²	semidirect
86. C₁₃×#469	C₂²	semidirect
88. C₁₃×#466	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#464	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₁₃×#463	C₂²	semidirect
96. C₁₃×#462	C₂²	semidirect
97. C₁₃×#462	C₂²	semidirect
98. C₁₃×#461	C₂²	semidirect
99. C₁₃×#461	C₂²	semidirect
110. C₁₃×#459	C₂²	semidirect
112. C₁₃×#452	C₂²	semidirect
114. C₁₃×#449	C₂²	semidirect
115. C₁₃×#449	C₂²	semidirect
116. C₁₃×#449	C₂²	semidirect
117. C₁₃×#449	C₂²	semidirect
118. C₁₃×#448	C₂²	semidirect
120. C₁₃×#446	C₂²	semidirect
121. C₁₃×#441	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₁₃×#440	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₄×C₁₃×D₈	C₂²	semidirect
129. C₁₃×#435	C₂²	semidirect
131. C₁₃×#432	C₂²	semidirect
132. C₁₃×#431	C₂²	semidirect
134. C₁₃×#423	C₂²	semidirect
135. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
137. C₁₃×#417	C₂²	semidirect
138. C₁₃×#416	C₂²	semidirect
345. #61970	C₁₃	direct (N × H)
518. #3508	C₂×C₁₃	semidirect
519. #3480	C₂×C₁₃	semidirect
520. #3403	C₂×C₁₃	semidirect
521. #3371	C₂×C₁₃	semidirect
522. #3322	C₂×C₁₃	semidirect
523. #3311	C₂×C₁₃	semidirect
524. #3309	C₂×C₁₃	semidirect
525. #3275	C₂×C₁₃	semidirect
526. #3271	C₂×C₁₃	semidirect
527. #3268	C₂×C₁₃	semidirect
528. #3253	C₂×C₁₃	semidirect
529. #3252	C₂×C₁₃	semidirect
530. #3247	C₂×C₁₃	semidirect
531. #3217	C₂×C₁₃	semidirect
532. #3214	C₂×C₁₃	semidirect
533. #3212	C₂×C₁₃	semidirect
534. #3116	C₂×C₁₃	semidirect
535. #3112	C₂×C₁₃	semidirect
536. #3106	C₂×C₁₃	semidirect
537. #3038	C₂×C₁₃	semidirect
538. #3037	C₂×C₁₃	semidirect
539. #3035	C₂×C₁₃	semidirect
540. #2989	C₂×C₁₃	semidirect
639. C₂×#137	C₂²×C₁₃	semidirect
641. C₂×#135	C₂²×C₁₃	semidirect
645. #559	C₂²×C₁₃	semidirect
646. #557	C₂²×C₁₃	semidirect
652. #553	C₂²×C₁₃	semidirect
657. #548	C₂²×C₁₃	semidirect
671. #532	C₂²×C₁₃	semidirect
676. #529	C₂²×C₁₃	semidirect
681. C₄×#41	C₂²×C₁₃	semidirect
682. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
684. #496	C₂²×C₁₃	semidirect
685. #495	C₂²×C₁₃	semidirect
687. #489	C₂²×C₁₃	semidirect
688. #488	C₂²×C₁₃	semidirect
690. #482	C₂²×C₁₃	semidirect
691. #480	C₂²×C₁₃	semidirect
692. #479	C₂²×C₁₃	semidirect
693. #478	C₂²×C₁₃	semidirect
694. #477	C₂²×C₁₃	semidirect
695. #477	C₂²×C₁₃	semidirect
696. #476	C₂²×C₁₃	semidirect
697. #476	C₂²×C₁₃	semidirect
698. #476	C₂²×C₁₃	semidirect
700. #469	C₂²×C₁₃	semidirect
701. #469	C₂²×C₁₃	semidirect
703. #466	C₂²×C₁₃	semidirect
704. #465	C₂²×C₁₃	semidirect
705. #464	C₂²×C₁₃	semidirect
706. #464	C₂²×C₁₃	semidirect
707. #464	C₂²×C₁₃	semidirect
708. #464	C₂²×C₁₃	semidirect
709. #463	C₂²×C₁₃	semidirect
710. #463	C₂²×C₁₃	semidirect
711. #462	C₂²×C₁₃	semidirect
712. #462	C₂²×C₁₃	semidirect
713. #461	C₂²×C₁₃	semidirect
714. #461	C₂²×C₁₃	semidirect
725. #459	C₂²×C₁₃	semidirect
727. #452	C₂²×C₁₃	semidirect
729. #449	C₂²×C₁₃	semidirect
730. #449	C₂²×C₁₃	semidirect
731. #449	C₂²×C₁₃	semidirect
732. #449	C₂²×C₁₃	semidirect
733. #448	C₂²×C₁₃	semidirect
735. #446	C₂²×C₁₃	semidirect
736. #441	C₂²×C₁₃	semidirect
737. #440	C₂²×C₁₃	semidirect
738. #440	C₂²×C₁₃	semidirect
739. #440	C₂²×C₁₃	semidirect
740. C₄×SD₁₆	C₂²×C₁₃	semidirect
741. C₄×D₈	C₂²×C₁₃	semidirect
744. #435	C₂²×C₁₃	semidirect
746. #432	C₂²×C₁₃	semidirect
747. #431	C₂²×C₁₃	semidirect
749. #423	C₂²×C₁₃	semidirect
750. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
752. #417	C₂²×C₁₃	semidirect
753. #416	C₂²×C₁₃	semidirect
1186. C₁₃	#61970	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×#3508	2
C₁₃×#3480	2
C₁₃×#3403	2
C₁₃×#3371	2
C₁₃×#3322	2
C₁₃×#3311	2
C₁₃×#3309	2
C₁₃×#3275	2
C₁₃×#3271	2
C₁₃×#3268	2
C₁₃×#3253	2
C₁₃×#3252	2
C₁₃×#3247	2
C₁₃×#3217	2
C₁₃×#3214	2
C₁₃×#3212	2
C₁₃×#3116	2
C₁₃×#3112	2
C₁₃×#3106	2
C₁₃×#3038	2
C₁₃×#3037	2
C₁₃×#3035	2
C₁₃×#2989	2
#61970	13

Subgroups — C13×#61970 #15748309

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61970 #15748309