Subgroups — C₁₃×#62130 #15748469

Order 3328.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1234 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3482	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3390	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3349	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3336	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3249	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3237	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3113	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3078	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#477	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#557	—	2	1	no	—
25	C₁₃×#557	C₂²	1	2	yes	—
26	C₁₃×#557	C₂²	1	1	yes	characteristic
27	C₁₃×#556	—	2	1	no	—
28	C₁₃×#556	—	2	1	no	—
29	C₁₃×#556	C₂²	1	1	yes	characteristic
30	C₁₃×#556	C₂²	1	2	yes	—
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#552	—	2	1	no	—
33	C₁₃×#552	—	2	1	no	—
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	C₂²	1	2	yes	—
36	C₁₃×#552	C₂²	1	2	yes	—
37	C₁₃×#552	C₂²	1	1	yes	characteristic
38	C₁₃×#552	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	C₁₃×#548	C₂²	1	1	yes	characteristic
41	C₁₃×#548	C₂²	1	1	yes	characteristic
42	C₁₃×#547	—	2	1	no	—
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#541	—	2	1	no	—
45	C₁₃×#541	—	2	1	no	—
46	C₁₃×#536	—	2	1	no	—
47	C₁₃×#533	—	2	1	no	—
48	C₁₃×#533	C₂²	1	1	yes	characteristic
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#533	C₂²	1	1	yes	characteristic
52	C₁₃×#533	C₂²	1	1	yes	characteristic
53	C₁₃×#533	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
55	C₁₃×#529	—	2	1	no	—
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic
59	C₁₃×#519	—	2	1	no	—
60	C₄×C₁₃×#41	—	2	1	no	—
61	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
63	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	—
66	C₁₃×#501	C₂²	1	2	yes	—
67	C₁₃×#499	C₂²	1	2	yes	—
68	C₁₃×#491	C₂²	1	2	yes	—
69	C₁₃×#489	C₂²	1	2	yes	—
70	C₁₃×#488	C₂²	1	2	yes	—
71	C₁₃×#485	C₂²	1	2	yes	—
72	C₁₃×#485	C₂²	1	2	yes	—
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#485	C₂²	1	2	yes	—
75	C₁₃×#484	C₂²	1	2	yes	—
76	C₁₃×#483	C₂²	1	2	yes	—
77	C₁₃×#483	C₂²	1	2	yes	—
78	C₁₃×#482	C₂²	1	2	yes	—
79	C₁₃×#480	C₂²	1	2	yes	—
80	C₁₃×#479	C₂²	1	2	yes	—
81	C₁₃×#479	C₂²	1	2	yes	—
82	C₁₃×#479	C₂²	1	2	yes	—
83	C₁₃×#479	C₂²	1	2	yes	—
84	C₁₃×#479	C₂²	1	2	yes	—
85	C₁₃×#478	C₂²	1	2	yes	—
86	C₁₃×#477	C₂²	1	2	yes	—
87	C₁₃×#477	C₂²	1	1	yes	characteristic
88	C₁₃×#477	C₂²	1	1	yes	characteristic
89	C₁₃×#477	C₂²	1	2	yes	—
90	C₁₃×#477	C₂²	1	1	yes	characteristic
91	C₁₃×#477	C₂²	1	1	yes	characteristic
92	C₁₃×#477	C₂²	1	1	yes	characteristic
93	C₁₃×#477	C₂²	1	2	yes	—
94	C₁₃×#477	C₂²	1	1	yes	characteristic
95	C₁₃×#476	C₂²	1	1	yes	characteristic
96	C₁₃×#476	C₂²	1	1	yes	characteristic
97	C₁₃×#475	C₂²	1	1	yes	characteristic
98	C₁₃×#475	C₂²	1	1	yes	characteristic
99	C₁₃×#475	C₂²	1	1	yes	characteristic
100	C₁₃×#474	C₂²	1	1	yes	characteristic
101	C₁₃×#470	C₂²	1	2	yes	—
102	C₁₃×#468	C₂²	1	2	yes	—
103	C₁₃×#467	C₂²	1	2	yes	—
104	C₁₃×#467	C₂²	1	2	yes	—
105	C₁₃×#467	C₂²	1	2	yes	—
106	C₁₃×#465	C₂²	1	2	yes	—
107	C₁₃×#464	C₂²	1	2	yes	—
108	C₁₃×#464	C₂²	1	2	yes	—
109	C₁₃×#462	C₂²	1	2	yes	—
110	C₁₃×#462	C₂²	1	1	yes	characteristic
111	C₁₃×#462	C₂²	1	1	yes	characteristic
112	C₁₃×#462	C₂²	1	1	yes	characteristic
113	C₁₃×#461	C₂²	1	1	yes	characteristic
114	C₁₃×#452	C₂²	1	2	yes	—
115	C₁₃×#451	C₂²	1	2	yes	—
116	C₁₃×#451	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	—
118	C₁₃×#441	C₂²	1	2	yes	—
119	C₁₃×#441	C₂²	1	2	yes	—
120	C₁₃×#441	C₂²	1	2	yes	—
121	C₁₃×#440	C₂²	1	2	yes	—
122	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
123	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
124	C₁₃×#435	C₂²	1	2	yes	—
125	C₁₃×#435	C₂²	1	2	yes	—
126	C₈×D₄×C₁₃	C₂²	1	2	yes	—
127	C₁₃×#432	C₂²	1	1	yes	characteristic
128	C₁₃×#432	C₂²	1	1	yes	characteristic
129	C₁₃×#431	C₂²	1	1	yes	characteristic
130	C₁₃×#428	C₂²	1	2	yes	—
131	C₁₃×#427	C₂²	1	2	yes	—
132	C₂×C₁₃×#107	C₂²	1	2	yes	—
133	C₁₃×#423	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
136	C₁₃×#419	C₂²	1	2	yes	—
137	C₁₃×#416	C₂²	1	2	yes	—
138	C₂×C₁₃×#103	C₂²	1	2	yes	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	—	2	1	no	—
143	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
150	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
151	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	—	2	1	no	—
153	C₁₃×C₄⋊Q₈	—	2	2	no	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×#126	—	2	1	no	—
165	C₁₃×#126	—	2	1	no	—
166	C₁₃×#126	—	2	1	no	—
167	C₁₃×#126	—	2	1	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	—	2	1	no	—
186	C₁₃×#125	C₂³	1	2	yes	—
187	C₁₃×#125	C₂³	1	2	yes	—
188	C₁₃×#125	C₂³	1	1	yes	characteristic
189	C₁₃×#125	C₂³	1	1	yes	characteristic
190	C₁₃×#124	—	2	2	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	C₂³	1	1	yes	characteristic
194	C₁₃×#124	C₂³	1	1	yes	characteristic
195	C₁₃×#123	—	2	1	no	—
196	C₁₃×#123	—	2	1	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	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	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	C₂³	1	1	yes	characteristic
227	C₁₃×#121	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	—	2	1	no	—
229	C₄×Q₈×C₁₃	—	2	2	no	—
230	C₄×Q₈×C₁₃	—	2	2	no	—
231	C₄×Q₈×C₁₃	—	2	1	no	—
232	C₄×Q₈×C₁₃	—	2	1	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	—	2	1	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	—	2	1	no	—
238	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	no	—
240	C₄×Q₈×C₁₃	—	2	1	no	—
241	C₄×Q₈×C₁₃	—	2	1	no	—
242	C₄×Q₈×C₁₃	—	2	1	no	—
243	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
244	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
245	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
248	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	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	1	yes	characteristic
255	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
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	D₄	1	1	yes	characteristic
264	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
265	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
271	C₁₃×#117	—	2	1	no	—
272	C₁₃×#117	—	2	1	no	—
273	C₁₃×#117	—	2	1	no	—
274	C₁₃×#117	—	2	1	no	—
275	C₁₃×#117	—	2	1	no	—
276	C₁₃×#117	—	2	1	no	—
277	C₁₃×#117	—	2	1	no	—
278	C₁₃×#117	—	2	2	no	—
279	C₁₃×#117	—	2	2	no	—
280	C₁₃×#117	—	2	1	no	—
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	D₄	1	1	yes	characteristic
284	C₁₃×#117	D₄	1	1	yes	characteristic
285	C₁₃×#117	D₄	1	1	yes	characteristic
286	C₁₃×#117	C₂³	1	2	yes	—
287	C₁₃×#117	C₂³	1	2	yes	—
288	C₁₃×#117	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
290	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
291	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₁₃	—	2	1	no	—
296	C₂×C₄²×C₁₃	—	2	1	no	—
297	C₂×C₄²×C₁₃	—	2	1	no	—
298	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
301	C₁₃×#107	C₂³	1	2	yes	—
302	C₁₃×#107	C₂³	1	2	yes	—
303	C₁₃×#107	C₂³	1	2	yes	—
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#107	C₂³	1	2	yes	—
307	C₁₃×#107	C₂³	1	2	yes	—
308	C₁₃×#106	C₂³	1	2	yes	—
309	C₁₃×#106	C₂³	1	2	yes	—
310	C₁₃×#106	C₂³	1	2	yes	—
311	C₁₃×#106	C₂³	1	2	yes	—
312	C₁₃×#106	C₂³	1	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
317	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	2	yes	—
322	C₁₃×#103	C₂³	1	2	yes	—
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×#103	C₂³	1	2	yes	—
330	C₁₃×#103	C₂³	1	2	yes	—
331	C₁₃×#103	C₂³	1	2	yes	—
332	C₁₃×#103	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×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₁₃×#97	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#62130	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₁₃×#41	—	2	2	no	—
344	C₁₃×#41	—	4	2	no	—
345	C₁₃×#41	—	4	1	no	—
346	C₁₃×#41	—	4	4	no	—
347	C₂×Q₈×C₁₃	—	2	1	no	—
348	C₂×Q₈×C₁₃	—	2	1	no	—
349	C₂×Q₈×C₁₃	—	2	1	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	1	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	2	no	—
354	C₂×Q₈×C₁₃	—	2	2	no	—
355	C₂×Q₈×C₁₃	—	2	2	no	—
356	C₂×Q₈×C₁₃	—	4	1	no	—
357	C₂×Q₈×C₁₃	—	4	1	no	—
358	C₂×Q₈×C₁₃	—	4	4	no	—
359	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
363	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
368	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
369	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
370	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	—	2	1	no	—
372	C₂²×C₄×C₁₃	—	2	1	no	—
373	C₂²×C₄×C₁₃	—	2	1	no	—
374	C₂²×C₄×C₁₃	—	2	1	no	—
375	C₂²×C₄×C₁₃	—	2	2	no	—
376	C₂²×C₄×C₁₃	—	2	1	no	—
377	C₂²×C₄×C₁₃	—	2	1	no	—
378	C₂²×C₄×C₁₃	—	2	1	no	—
379	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₁₃×Q₁₆	—	2	4	no	—
389	C₁₃×Q₁₆	—	4	2	no	—
390	C₁₃×Q₁₆	—	4	2	no	—
391	C₁₃×SD₁₆	—	4	2	no	—
392	C₁₃×M₁₆	—	4	2	no	—
393	C₂×C₈×C₁₃	—	4	2	no	—
394	C₂×C₈×C₁₃	—	4	2	no	—
395	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
396	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₁₃×C₄⋊C₄	—	2	1	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	2	no	—
422	C₁₃×C₄⋊C₄	—	2	2	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	1	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	1	no	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	1	no	—
431	C₁₃×C₄⋊C₄	—	2	2	no	—
432	C₁₃×C₄⋊C₄	—	2	2	no	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	2	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	2	2	no	—
437	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
438	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
439	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
440	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₂²⋊C₄	—	2	2	no	—
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	1	no	—
453	C₁₃×C₂²⋊C₄	—	2	1	no	—
454	C₁₃×C₂²⋊C₄	—	2	1	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	2	2	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	no	—
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	1	no	—
461	C₁₃×C₂²⋊C₄	—	2	1	no	—
462	C₁₃×C₂²⋊C₄	—	2	1	no	—
463	C₁₃×C₂²⋊C₄	—	2	1	no	—
464	C₁₃×C₂²⋊C₄	—	2	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
470	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
471	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
472	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
473	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
474	C₄²×C₁₃	—	2	1	no	—
475	C₄²×C₁₃	—	2	1	no	—
476	C₄²×C₁₃	—	2	1	no	—
477	C₄²×C₁₃	—	2	1	no	—
478	C₄²×C₁₃	—	2	1	no	—
479	C₄²×C₁₃	—	2	1	no	—
480	C₄²×C₁₃	—	2	1	no	—
481	C₄²×C₁₃	—	2	1	no	—
482	C₄²×C₁₃	—	2	1	no	—
483	C₄²×C₁₃	—	2	2	no	—
484	C₄²×C₁₃	—	2	2	no	—
485	C₄²×C₁₃	—	2	2	no	—
486	C₄²×C₁₃	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
489	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
490	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
498	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
499	#3482	C₂×C₁₃	1	1	yes	characteristic
500	#3390	C₂×C₁₃	1	2	yes	complemented
501	#3377	C₂×C₁₃	1	2	yes	complemented
502	#3349	C₂×C₁₃	1	2	yes	complemented
503	#3343	C₂×C₁₃	1	2	yes	complemented
504	#3336	C₂×C₁₃	1	2	yes	complemented
505	#3313	C₂×C₁₃	1	2	yes	complemented
506	#3312	C₂×C₁₃	1	2	yes	complemented
507	#3300	C₂×C₁₃	1	2	yes	complemented
508	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3249	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3237	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3113	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3078	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
519	C₂×#477	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
521	C₂³×C₁₃	—	2	1	no	—
522	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
523	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
524	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
525	Q₈×C₁₃	—	2	1	no	—
526	Q₈×C₁₃	—	2	2	no	—
527	Q₈×C₁₃	—	2	1	no	—
528	Q₈×C₁₃	—	2	1	no	—
529	Q₈×C₁₃	—	2	2	no	—
530	Q₈×C₁₃	—	2	1	no	—
531	Q₈×C₁₃	—	2	1	no	—
532	Q₈×C₁₃	—	4	1	no	—
533	Q₈×C₁₃	—	4	2	no	—
534	Q₈×C₁₃	—	4	2	no	—
535	Q₈×C₁₃	—	4	2	no	—
536	Q₈×C₁₃	—	4	2	no	—
537	Q₈×C₁₃	—	4	4	no	—
538	Q₈×C₁₃	—	4	2	no	—
539	Q₈×C₁₃	—	4	2	no	—
540	Q₈×C₁₃	2₋¹⁺⁴	1	2	yes	—
541	D₄×C₁₃	—	2	2	no	—
542	D₄×C₁₃	—	2	2	no	—
543	D₄×C₁₃	—	2	1	no	—
544	D₄×C₁₃	—	2	1	no	—
545	D₄×C₁₃	—	4	1	no	—
546	D₄×C₁₃	—	4	2	no	—
547	D₄×C₁₃	—	4	2	no	—
548	D₄×C₁₃	—	4	2	no	—
549	C₂×C₄×C₁₃	—	2	2	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	2	no	—
552	C₂×C₄×C₁₃	—	2	2	no	—
553	C₂×C₄×C₁₃	—	2	2	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	2	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	2	no	—
569	C₂×C₄×C₁₃	—	2	2	no	—
570	C₂×C₄×C₁₃	—	4	1	no	—
571	C₂×C₄×C₁₃	—	4	1	no	—
572	C₂×C₄×C₁₃	—	4	2	no	—
573	C₂×C₄×C₁₃	—	4	2	no	—
574	C₂×C₄×C₁₃	—	4	2	no	—
575	C₂×C₄×C₁₃	—	4	2	no	—
576	C₂×C₄×C₁₃	—	4	2	no	—
577	C₂×C₄×C₁₃	—	4	4	no	—
578	C₂×C₄×C₁₃	—	4	2	no	—
579	C₂×C₄×C₁₃	—	4	2	no	—
580	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
581	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
582	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
584	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
585	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
586	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
587	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
588	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
589	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
590	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
591	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
592	C₈×C₁₃	—	2	2	no	—
593	C₈×C₁₃	—	2	2	no	—
594	C₈×C₁₃	—	2	2	no	—
595	C₈×C₁₃	—	2	2	no	—
596	#557	—	2	1	no	—
597	#557	C₂²×C₁₃	1	2	yes	—
598	#557	C₂²×C₁₃	1	1	yes	characteristic
599	#556	—	2	1	no	—
600	#556	—	2	1	no	—
601	#556	C₂²×C₁₃	1	1	yes	characteristic
602	#556	C₂²×C₁₃	1	2	yes	—
603	#552	—	2	1	no	—
604	#552	—	2	1	no	—
605	#552	—	2	1	no	—
606	#552	—	2	1	no	—
607	#552	C₂²×C₁₃	1	1	yes	characteristic
608	#552	C₂²×C₁₃	1	2	yes	—
609	#552	C₂²×C₁₃	1	2	yes	—
610	#552	C₂²×C₁₃	1	1	yes	characteristic
611	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
612	#548	C₂²×C₁₃	1	1	yes	characteristic
613	#548	C₂²×C₁₃	1	1	yes	characteristic
614	#547	—	2	1	no	—
615	#547	C₂²×C₁₃	1	1	yes	characteristic
616	#541	—	2	1	no	—
617	#541	—	2	1	no	—
618	#536	—	2	1	no	—
619	#533	—	2	1	no	—
620	#533	C₂²×C₁₃	1	1	yes	characteristic
621	#533	C₂²×C₁₃	1	1	yes	characteristic
622	#533	C₂²×C₁₃	1	1	yes	characteristic
623	#533	C₂²×C₁₃	1	1	yes	characteristic
624	#533	C₂²×C₁₃	1	1	yes	characteristic
625	#533	C₂²×C₁₃	1	1	yes	characteristic
626	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
627	#529	—	2	1	no	—
628	#529	—	2	1	no	—
629	#529	C₂²×C₁₃	1	1	yes	characteristic
630	#529	C₂²×C₁₃	1	1	yes	characteristic
631	#519	—	2	1	no	—
632	C₄×#41	—	2	1	no	—
633	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
634	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
635	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
636	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
637	#501	C₂²×C₁₃	1	2	yes	—
638	#501	C₂²×C₁₃	1	2	yes	—
639	#499	C₂²×C₁₃	1	2	yes	—
640	#491	C₂²×C₁₃	1	2	yes	—
641	#489	C₂²×C₁₃	1	2	yes	—
642	#488	C₂²×C₁₃	1	2	yes	—
643	#485	C₂²×C₁₃	1	2	yes	—
644	#485	C₂²×C₁₃	1	2	yes	—
645	#485	C₂²×C₁₃	1	2	yes	—
646	#485	C₂²×C₁₃	1	2	yes	—
647	#484	C₂²×C₁₃	1	2	yes	—
648	#483	C₂²×C₁₃	1	2	yes	—
649	#483	C₂²×C₁₃	1	2	yes	—
650	#482	C₂²×C₁₃	1	2	yes	—
651	#480	C₂²×C₁₃	1	2	yes	—
652	#479	C₂²×C₁₃	1	2	yes	—
653	#479	C₂²×C₁₃	1	2	yes	—
654	#479	C₂²×C₁₃	1	2	yes	—
655	#479	C₂²×C₁₃	1	2	yes	—
656	#479	C₂²×C₁₃	1	2	yes	—
657	#478	C₂²×C₁₃	1	2	yes	—
658	#477	C₂²×C₁₃	1	1	yes	characteristic
659	#477	C₂²×C₁₃	1	1	yes	characteristic
660	#477	C₂²×C₁₃	1	2	yes	—
661	#477	C₂²×C₁₃	1	2	yes	—
662	#477	C₂²×C₁₃	1	1	yes	characteristic
663	#477	C₂²×C₁₃	1	1	yes	characteristic
664	#477	C₂²×C₁₃	1	1	yes	characteristic
665	#477	C₂²×C₁₃	1	2	yes	—
666	#477	C₂²×C₁₃	1	1	yes	characteristic
667	#476	C₂²×C₁₃	1	1	yes	characteristic
668	#476	C₂²×C₁₃	1	1	yes	characteristic
669	#475	C₂²×C₁₃	1	1	yes	characteristic
670	#475	C₂²×C₁₃	1	1	yes	characteristic
671	#475	C₂²×C₁₃	1	1	yes	characteristic
672	#474	C₂²×C₁₃	1	1	yes	characteristic
673	#470	C₂²×C₁₃	1	2	yes	—
674	#468	C₂²×C₁₃	1	2	yes	—
675	#467	C₂²×C₁₃	1	2	yes	—
676	#467	C₂²×C₁₃	1	2	yes	—
677	#467	C₂²×C₁₃	1	2	yes	—
678	#465	C₂²×C₁₃	1	2	yes	—
679	#464	C₂²×C₁₃	1	2	yes	—
680	#464	C₂²×C₁₃	1	2	yes	—
681	#462	C₂²×C₁₃	1	1	yes	characteristic
682	#462	C₂²×C₁₃	1	1	yes	characteristic
683	#462	C₂²×C₁₃	1	1	yes	characteristic
684	#462	C₂²×C₁₃	1	2	yes	—
685	#461	C₂²×C₁₃	1	1	yes	characteristic
686	#452	C₂²×C₁₃	1	2	yes	—
687	#451	C₂²×C₁₃	1	2	yes	—
688	#451	C₂²×C₁₃	1	2	yes	—
689	#446	C₂²×C₁₃	1	2	yes	—
690	#441	C₂²×C₁₃	1	2	yes	—
691	#441	C₂²×C₁₃	1	2	yes	—
692	#441	C₂²×C₁₃	1	2	yes	—
693	#440	C₂²×C₁₃	1	2	yes	—
694	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
695	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
696	#435	C₂²×C₁₃	1	2	yes	—
697	#435	C₂²×C₁₃	1	2	yes	—
698	C₈×D₄	C₂²×C₁₃	1	2	yes	—
699	#432	C₂²×C₁₃	1	1	yes	characteristic
700	#432	C₂²×C₁₃	1	1	yes	characteristic
701	#431	C₂²×C₁₃	1	1	yes	characteristic
702	#428	C₂²×C₁₃	1	2	yes	—
703	#427	C₂²×C₁₃	1	2	yes	—
704	C₂×#107	C₂²×C₁₃	1	2	yes	—
705	#423	C₂²×C₁₃	1	1	yes	characteristic
706	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
707	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
708	#419	C₂²×C₁₃	1	2	yes	—
709	#416	C₂²×C₁₃	1	2	yes	—
710	C₂×#103	C₂²×C₁₃	1	2	yes	—
711	C₂²×C₁₃	—	2	1	no	—
712	C₂²×C₁₃	—	2	1	no	—
713	C₂²×C₁₃	—	2	1	no	—
714	C₂²×C₁₃	—	2	1	no	—
715	C₂²×C₁₃	—	2	1	no	—
716	C₂²×C₁₃	—	2	1	no	—
717	C₂²×C₁₃	—	2	1	no	—
718	C₂²×C₁₃	—	2	1	no	—
719	C₂²×C₁₃	—	4	1	no	—
720	C₂²×C₁₃	—	4	1	no	—
721	C₂²×C₁₃	—	4	1	no	—
722	C₂²×C₁₃	#575	1	2	yes	—
723	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
724	C₄×C₁₃	—	2	1	no	—
725	C₄×C₁₃	—	2	1	no	—
726	C₄×C₁₃	—	2	1	no	—
727	C₄×C₁₃	—	2	2	no	—
728	C₄×C₁₃	—	2	1	no	—
729	C₄×C₁₃	—	2	1	no	—
730	C₄×C₁₃	—	2	1	no	—
731	C₄×C₁₃	—	2	1	no	—
732	C₄×C₁₃	—	2	1	no	—
733	C₄×C₁₃	—	2	1	no	—
734	C₄×C₁₃	—	2	1	no	—
735	C₄×C₁₃	—	4	1	no	—
736	C₄×C₁₃	—	4	1	no	—
737	C₄×C₁₃	—	4	2	no	—
738	C₄×C₁₃	—	4	1	no	—
739	C₄×C₁₃	—	4	1	no	—
740	C₄×C₁₃	—	4	1	no	—
741	C₄×C₁₃	—	4	2	no	—
742	C₄×C₁₃	—	4	2	no	—
743	C₄×C₁₃	—	4	1	no	—
744	C₄×C₁₃	—	4	2	no	—
745	C₄×C₁₃	#578	1	2	yes	—
746	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
747	C₄×C₁₃	#585	1	1	yes	characteristic
748	C₂×#41	—	2	1	no	—
749	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
750	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
751	C₂²×Q₈	—	2	1	no	—
752	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
753	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
754	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
755	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
756	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
757	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
758	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
759	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
760	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
761	C₄⋊Q₈	—	2	1	no	—
762	C₄⋊Q₈	—	2	2	no	—
763	C₄⋊Q₈	—	2	1	no	—
764	C₄⋊Q₈	—	2	1	no	—
765	C₄⋊Q₈	—	2	1	no	—
766	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
767	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
769	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
770	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
771	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
772	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	#126	—	2	1	no	—
774	#126	—	2	1	no	—
775	#126	—	2	1	no	—
776	#126	—	2	1	no	—
777	#126	—	2	2	no	—
778	#126	—	2	2	no	—
779	#126	—	2	2	no	—
780	#126	—	2	2	no	—
781	#126	—	2	1	no	—
782	#126	—	2	1	no	—
783	#125	—	2	1	no	—
784	#125	—	2	1	no	—
785	#125	—	2	1	no	—
786	#125	—	2	1	no	—
787	#125	—	2	2	no	—
788	#125	—	2	2	no	—
789	#125	—	2	2	no	—
790	#125	—	2	2	no	—
791	#125	—	2	1	no	—
792	#125	—	2	1	no	—
793	#125	—	2	1	no	—
794	#125	—	2	1	no	—
795	#125	C₂³×C₁₃	1	1	yes	characteristic
796	#125	C₂³×C₁₃	1	1	yes	characteristic
797	#125	C₂³×C₁₃	1	2	yes	—
798	#125	C₂³×C₁₃	1	2	yes	—
799	#124	—	2	2	no	—
800	#124	—	2	1	no	—
801	#124	—	2	1	no	—
802	#124	C₂³×C₁₃	1	1	yes	characteristic
803	#124	C₂³×C₁₃	1	1	yes	characteristic
804	#123	—	2	1	no	—
805	#123	—	2	1	no	—
806	#123	—	2	2	no	—
807	#123	—	2	2	no	—
808	#123	—	2	1	no	—
809	#123	—	2	1	no	—
810	#123	—	2	1	no	—
811	#123	—	2	1	no	—
812	C₂²⋊Q₈	—	2	1	no	—
813	C₂²⋊Q₈	—	2	1	no	—
814	C₂²⋊Q₈	—	2	1	no	—
815	C₂²⋊Q₈	—	2	1	no	—
816	C₂²⋊Q₈	—	2	1	no	—
817	C₂²⋊Q₈	—	2	1	no	—
818	C₂²⋊Q₈	—	2	1	no	—
819	C₂²⋊Q₈	—	2	1	no	—
820	C₂²⋊Q₈	—	2	1	no	—
821	C₂²⋊Q₈	—	2	1	no	—
822	C₂²⋊Q₈	—	2	1	no	—
823	C₂²⋊Q₈	—	2	1	no	—
824	C₂²⋊Q₈	—	2	1	no	—
825	C₂²⋊Q₈	—	2	1	no	—
826	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
827	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
828	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
829	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
831	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
832	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
833	#121	—	2	1	no	—
834	#121	—	2	1	no	—
835	#121	C₂³×C₁₃	1	1	yes	characteristic
836	#121	C₂³×C₁₃	1	1	yes	characteristic
837	C₄×Q₈	—	2	1	no	—
838	C₄×Q₈	—	2	2	no	—
839	C₄×Q₈	—	2	2	no	—
840	C₄×Q₈	—	2	1	no	—
841	C₄×Q₈	—	2	1	no	—
842	C₄×Q₈	—	2	1	no	—
843	C₄×Q₈	—	2	1	no	—
844	C₄×Q₈	—	2	1	no	—
845	C₄×Q₈	—	2	1	no	—
846	C₄×Q₈	—	2	1	no	—
847	C₄×Q₈	—	2	1	no	—
848	C₄×Q₈	—	2	1	no	—
849	C₄×Q₈	—	2	1	no	—
850	C₄×Q₈	—	2	1	no	—
851	C₄×Q₈	—	2	1	no	—
852	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
853	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
856	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
859	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
862	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
863	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
864	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	1	no	—
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
873	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
874	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
875	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
876	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
877	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
878	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
879	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
880	#117	—	2	1	no	—
881	#117	—	2	1	no	—
882	#117	—	2	1	no	—
883	#117	—	2	1	no	—
884	#117	—	2	1	no	—
885	#117	—	2	1	no	—
886	#117	—	2	1	no	—
887	#117	—	2	2	no	—
888	#117	—	2	2	no	—
889	#117	—	2	1	no	—
890	#117	—	2	1	no	—
891	#117	—	2	1	no	—
892	#117	D₄×C₁₃	1	1	yes	characteristic
893	#117	D₄×C₁₃	1	1	yes	characteristic
894	#117	D₄×C₁₃	1	1	yes	characteristic
895	#117	C₂³×C₁₃	1	1	yes	characteristic
896	#117	C₂³×C₁₃	1	2	yes	—
897	#117	C₂³×C₁₃	1	2	yes	—
898	C₂×C₄⋊C₄	—	2	1	no	—
899	C₂×C₄⋊C₄	—	2	1	no	—
900	C₂×C₄⋊C₄	—	2	1	no	—
901	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
904	C₂×C₄²	—	2	1	no	—
905	C₂×C₄²	—	2	1	no	—
906	C₂×C₄²	—	2	1	no	—
907	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
908	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
909	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
910	#107	C₂³×C₁₃	1	2	yes	—
911	#107	C₂³×C₁₃	1	2	yes	—
912	#107	C₂³×C₁₃	1	2	yes	—
913	#107	C₂³×C₁₃	1	2	yes	—
914	#107	C₂³×C₁₃	1	2	yes	—
915	#107	C₂³×C₁₃	1	2	yes	—
916	#107	C₂³×C₁₃	1	2	yes	—
917	#106	C₂³×C₁₃	1	2	yes	—
918	#106	C₂³×C₁₃	1	2	yes	—
919	#106	C₂³×C₁₃	1	2	yes	—
920	#106	C₂³×C₁₃	1	2	yes	—
921	#106	C₂³×C₁₃	1	2	yes	—
922	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
923	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
924	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
925	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
926	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
927	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
928	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
929	#103	C₂³×C₁₃	1	2	yes	—
930	#103	C₂³×C₁₃	1	2	yes	—
931	#103	C₂³×C₁₃	1	2	yes	—
932	#103	C₂³×C₁₃	1	2	yes	—
933	#103	C₂³×C₁₃	1	2	yes	—
934	#103	C₂³×C₁₃	1	2	yes	—
935	#103	C₂³×C₁₃	1	2	yes	—
936	#103	C₂³×C₁₃	1	2	yes	—
937	#103	C₂³×C₁₃	1	2	yes	—
938	#103	C₂³×C₁₃	1	2	yes	—
939	#103	C₂³×C₁₃	1	2	yes	—
940	#103	C₂³×C₁₃	1	2	yes	—
941	#103	C₂³×C₁₃	1	2	yes	—
942	#102	C₂³×C₁₃	1	2	yes	—
943	#102	C₂³×C₁₃	1	2	yes	—
944	#102	C₂³×C₁₃	1	2	yes	—
945	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
946	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
947	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
948	#97	C₂³×C₁₃	1	2	yes	—
949	#97	C₂³×C₁₃	1	2	yes	—
950	C₄×C₈	C₂³×C₁₃	1	2	yes	—
951	C₂×C₁₃	—	2	2	no	—
952	C₂×C₁₃	—	4	1	no	—
953	C₂×C₁₃	—	4	1	no	—
954	C₂×C₁₃	—	8	1	no	—
955	C₂×C₁₃	#3489	1	1	yes	characteristic
956	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
957	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
958	#41	—	2	2	no	—
959	#41	—	4	2	no	—
960	#41	—	4	1	no	—
961	#41	—	4	4	no	—
962	C₂×Q₈	—	2	1	no	—
963	C₂×Q₈	—	2	1	no	—
964	C₂×Q₈	—	2	1	no	—
965	C₂×Q₈	—	2	1	no	—
966	C₂×Q₈	—	2	1	no	—
967	C₂×Q₈	—	2	1	no	—
968	C₂×Q₈	—	2	2	no	—
969	C₂×Q₈	—	2	2	no	—
970	C₂×Q₈	—	2	2	no	—
971	C₂×Q₈	—	4	1	no	—
972	C₂×Q₈	—	4	1	no	—
973	C₂×Q₈	—	4	4	no	—
974	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
975	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
978	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₂×D₄	—	2	1	no	—
980	C₂×D₄	—	2	1	no	—
981	C₂×D₄	—	2	1	no	—
982	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
983	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
984	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
985	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
986	C₂²×C₄	—	2	1	no	—
987	C₂²×C₄	—	2	1	no	—
988	C₂²×C₄	—	2	1	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	1	no	—
992	C₂²×C₄	—	2	1	no	—
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
995	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
996	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
997	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
998	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
999	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1002	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1003	Q₁₆	—	2	4	no	—
1004	Q₁₆	—	4	2	no	—
1005	Q₁₆	—	4	2	no	—
1006	SD₁₆	—	4	2	no	—
1007	M₁₆	—	4	2	no	—
1008	C₂×C₈	—	4	2	no	—
1009	C₂×C₈	—	4	2	no	—
1010	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1011	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1012	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1013	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	1	no	—
1016	C₄⋊C₄	—	2	1	no	—
1017	C₄⋊C₄	—	2	1	no	—
1018	C₄⋊C₄	—	2	1	no	—
1019	C₄⋊C₄	—	2	1	no	—
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	2	1	no	—
1022	C₄⋊C₄	—	2	1	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	1	no	—
1025	C₄⋊C₄	—	2	1	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	1	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	1	no	—
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	1	no	—
1036	C₄⋊C₄	—	2	2	no	—
1037	C₄⋊C₄	—	2	2	no	—
1038	C₄⋊C₄	—	2	2	no	—
1039	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	1	no	—
1043	C₄⋊C₄	—	2	1	no	—
1044	C₄⋊C₄	—	2	1	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1053	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1054	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1055	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1056	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1057	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1059	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1060	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1061	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1062	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1063	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1064	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1065	C₂²⋊C₄	—	2	2	no	—
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	2	no	—
1071	C₂²⋊C₄	—	2	2	no	—
1072	C₂²⋊C₄	—	2	1	no	—
1073	C₂²⋊C₄	—	2	2	no	—
1074	C₂²⋊C₄	—	2	2	no	—
1075	C₂²⋊C₄	—	2	1	no	—
1076	C₂²⋊C₄	—	2	1	no	—
1077	C₂²⋊C₄	—	2	1	no	—
1078	C₂²⋊C₄	—	2	1	no	—
1079	C₂²⋊C₄	—	2	1	no	—
1080	C₂²⋊C₄	—	2	1	no	—
1081	C₂²⋊C₄	—	2	1	no	—
1082	C₂²⋊C₄	—	2	1	no	—
1083	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1086	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1087	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1088	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1089	C₄²	—	2	1	no	—
1090	C₄²	—	2	1	no	—
1091	C₄²	—	2	1	no	—
1092	C₄²	—	2	1	no	—
1093	C₄²	—	2	1	no	—
1094	C₄²	—	2	1	no	—
1095	C₄²	—	2	1	no	—
1096	C₄²	—	2	1	no	—
1097	C₄²	—	2	1	no	—
1098	C₄²	—	2	2	no	—
1099	C₄²	—	2	2	no	—
1100	C₄²	—	2	2	no	—
1101	C₄²	—	2	2	no	—
1102	C₄²	—	2	2	no	—
1103	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1104	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1105	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1106	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1107	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1108	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1109	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1110	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1111	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1112	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1113	C₁₃	#62130	1	1	yes	characteristic, direct product factor, Sylow
1114	C₂³	—	2	1	no	—
1115	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1116	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1117	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1118	Q₈	—	2	1	no	—
1119	Q₈	—	2	2	no	—
1120	Q₈	—	2	1	no	—
1121	Q₈	—	2	1	no	—
1122	Q₈	—	2	2	no	—
1123	Q₈	—	2	1	no	—
1124	Q₈	—	2	1	no	—
1125	Q₈	—	4	1	no	—
1126	Q₈	—	4	2	no	—
1127	Q₈	—	4	2	no	—
1128	Q₈	—	4	2	no	—
1129	Q₈	—	4	2	no	—
1130	Q₈	—	4	4	no	—
1131	Q₈	—	4	2	no	—
1132	Q₈	—	4	2	no	—
1133	Q₈	C₁₃×2₋¹⁺⁴	1	2	yes	—
1134	D₄	—	2	2	no	—
1135	D₄	—	2	2	no	—
1136	D₄	—	2	1	no	—
1137	D₄	—	2	1	no	—
1138	D₄	—	4	1	no	—
1139	D₄	—	4	2	no	—
1140	D₄	—	4	2	no	—
1141	D₄	—	4	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	—	4	1	no	—
1165	C₂×C₄	—	4	2	no	—
1166	C₂×C₄	—	4	2	no	—
1167	C₂×C₄	—	4	2	no	—
1168	C₂×C₄	—	4	2	no	—
1169	C₂×C₄	—	4	2	no	—
1170	C₂×C₄	—	4	4	no	—
1171	C₂×C₄	—	4	2	no	—
1172	C₂×C₄	—	4	2	no	—
1173	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1174	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1175	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1176	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1177	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1178	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1179	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1180	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1181	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1182	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1183	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1184	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1185	C₈	—	2	2	no	—
1186	C₈	—	2	2	no	—
1187	C₈	—	2	2	no	—
1188	C₈	—	2	2	no	—
1189	C₂²	—	2	1	no	—
1190	C₂²	—	2	1	no	—
1191	C₂²	—	2	1	no	—
1192	C₂²	—	2	1	no	—
1193	C₂²	—	2	1	no	—
1194	C₂²	—	2	1	no	—
1195	C₂²	—	2	1	no	—
1196	C₂²	—	2	1	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	1	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	C₁₃×#575	1	2	yes	—
1201	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1202	C₄	—	2	1	no	—
1203	C₄	—	2	1	no	—
1204	C₄	—	2	1	no	—
1205	C₄	—	2	1	no	—
1206	C₄	—	2	1	no	—
1207	C₄	—	2	1	no	—
1208	C₄	—	2	1	no	—
1209	C₄	—	2	1	no	—
1210	C₄	—	2	1	no	—
1211	C₄	—	2	1	no	—
1212	C₄	—	2	2	no	—
1213	C₄	—	4	1	no	—
1214	C₄	—	4	1	no	—
1215	C₄	—	4	1	no	—
1216	C₄	—	4	2	no	—
1217	C₄	—	4	2	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	2	no	—
1220	C₄	—	4	1	no	—
1221	C₄	—	4	1	no	—
1222	C₄	—	4	2	no	—
1223	C₄	C₁₃×#578	1	2	yes	—
1224	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1225	C₄	C₁₃×#585	1	1	yes	characteristic
1226	C₂	—	2	2	no	—
1227	C₂	—	4	1	no	—
1228	C₂	—	4	1	no	—
1229	C₂	—	8	1	no	—
1230	C₂	C₁₃×#3489	1	1	yes	characteristic
1231	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1232	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3482	C₂
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×#3509	C₂	semidirect
3. C₁₃×#3390	C₂	semidirect
4. C₁₃×#3377	C₂	semidirect
5. C₁₃×#3349	C₂	semidirect
6. C₁₃×#3343	C₂	semidirect
7. C₁₃×#3336	C₂	semidirect
8. C₁₃×#3313	C₂	semidirect
9. C₁₃×#3312	C₂	semidirect
10. C₁₃×#3300	C₂	semidirect
11. C₁₃×#3252	C₂	semidirect
12. C₁₃×#3249	C₂	semidirect
13. C₁₃×#3248	C₂	semidirect
14. C₁₃×#3238	C₂	semidirect
15. C₁₃×#3237	C₂	semidirect
16. C₁₃×#3233	C₂	semidirect
17. C₁₃×#3116	C₂	semidirect
18. C₁₃×#3113	C₂	semidirect
19. C₁₃×#3104	C₂	semidirect
20. C₁₃×#3078	C₂	semidirect
21. C₁₃×#3076	C₂	semidirect
22. C₂×C₁₃×#477	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
342. #62130	C₁₃	direct (N × H)
498. #3509	C₂×C₁₃	semidirect
500. #3390	C₂×C₁₃	semidirect
501. #3377	C₂×C₁₃	semidirect
502. #3349	C₂×C₁₃	semidirect
503. #3343	C₂×C₁₃	semidirect
504. #3336	C₂×C₁₃	semidirect
505. #3313	C₂×C₁₃	semidirect
506. #3312	C₂×C₁₃	semidirect
507. #3300	C₂×C₁₃	semidirect
508. #3252	C₂×C₁₃	semidirect
509. #3249	C₂×C₁₃	semidirect
510. #3248	C₂×C₁₃	semidirect
511. #3238	C₂×C₁₃	semidirect
512. #3237	C₂×C₁₃	semidirect
513. #3233	C₂×C₁₃	semidirect
514. #3116	C₂×C₁₃	semidirect
515. #3113	C₂×C₁₃	semidirect
516. #3104	C₂×C₁₃	semidirect
517. #3078	C₂×C₁₃	semidirect
518. #3076	C₂×C₁₃	semidirect
519. C₂×#477	C₂×C₁₃	semidirect
520. #2990	C₂×C₁₃	semidirect
1113. C₁₃	#62130	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×#3509	2
C₁₃×#3482	2
C₁₃×#3390	2
C₁₃×#3377	2
C₁₃×#3349	2
C₁₃×#3343	2
C₁₃×#3336	2
C₁₃×#3313	2
C₁₃×#3312	2
C₁₃×#3300	2
C₁₃×#3252	2
C₁₃×#3249	2
C₁₃×#3248	2
C₁₃×#3238	2
C₁₃×#3237	2
C₁₃×#3233	2
C₁₃×#3116	2
C₁₃×#3113	2
C₁₃×#3104	2
C₁₃×#3078	2
C₁₃×#3076	2
C₂×C₁₃×#477	2
C₁₃×#2990	2
#62130	13

Subgroups — C13×#62130 #15748469

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62130 #15748469