Subgroups — C₁₃×#60993 #15747332

Order 3328.

1718 conjugacy classes of subgroups.

The subgroup lattice has 1264 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3249	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3230	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3203	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3178	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3120	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#556	—	2	1	no	—
25	C₁₃×#555	—	2	1	no	—
26	C₁₃×#554	—	2	1	no	—
27	C₁₃×#553	—	2	1	no	—
28	C₁₃×#553	—	2	1	no	—
29	C₁₃×#548	—	2	1	no	—
30	C₁₃×#548	—	2	1	no	—
31	C₁₃×#547	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic
33	C₁₃×#542	—	2	1	no	—
34	C₁₃×#542	C₂²	1	1	yes	characteristic
35	C₁₃×#542	C₂²	1	1	yes	characteristic
36	C₁₃×#542	C₂²	1	2	yes	—
37	C₁₃×#542	C₂²	1	2	yes	—
38	C₁₃×#541	—	2	1	no	—
39	C₁₃×#541	C₂²	1	1	yes	characteristic
40	C₁₃×#541	C₂²	1	1	yes	characteristic
41	C₁₃×#539	—	2	1	no	—
42	C₁₃×#539	—	2	1	no	—
43	C₁₃×#537	C₂²	1	2	yes	—
44	C₁₃×#537	C₂²	1	1	yes	characteristic
45	C₁₃×#536	C₂²	1	1	yes	characteristic
46	C₁₃×#536	C₂²	1	1	yes	characteristic
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×#532	C₂²	1	1	yes	characteristic
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	—	2	1	no	—
58	C₁₃×#529	—	2	1	no	—
59	C₁₃×#529	C₂²	1	1	yes	characteristic
60	C₁₃×#529	C₂²	1	1	yes	characteristic
61	C₁₃×#520	C₂²	1	2	yes	—
62	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	—
66	C₁₃×#500	C₂²	1	2	yes	—
67	C₁₃×#497	C₂²	1	2	yes	—
68	C₁₃×#495	C₂²	1	2	yes	—
69	C₁₃×#489	C₂²	1	2	yes	—
70	C₁₃×#489	C₂²	1	2	yes	—
71	C₁₃×#488	C₂²	1	2	yes	—
72	C₁₃×#487	C₂²	1	2	yes	—
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#484	C₂²	1	2	yes	—
75	C₁₃×#484	C₂²	1	2	yes	—
76	C₁₃×#484	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×#480	C₂²	1	2	yes	—
81	C₁₃×#479	C₂²	1	2	yes	—
82	C₁₃×#478	C₂²	1	2	yes	—
83	C₁₃×#477	C₂²	1	1	yes	characteristic
84	C₁₃×#477	C₂²	1	1	yes	characteristic
85	C₁₃×#477	C₂²	1	1	yes	characteristic
86	C₁₃×#477	C₂²	1	1	yes	characteristic
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×#476	C₂²	1	1	yes	characteristic
91	C₁₃×#476	C₂²	1	1	yes	characteristic
92	C₁₃×#474	C₂²	1	2	yes	—
93	C₁₃×#470	C₂²	1	2	yes	—
94	C₁₃×#468	C₂²	1	2	yes	—
95	C₁₃×#468	C₂²	1	2	yes	—
96	C₁₃×#468	C₂²	1	2	yes	—
97	C₁₃×#467	C₂²	1	2	yes	—
98	C₁₃×#467	C₂²	1	2	yes	—
99	C₁₃×#466	C₂²	1	2	yes	—
100	C₁₃×#465	C₂²	1	2	yes	—
101	C₁₃×#464	C₂²	1	2	yes	—
102	C₁₃×#463	C₂²	1	2	yes	—
103	C₁₃×#462	C₂²	1	1	yes	characteristic
104	C₁₃×#462	C₂²	1	1	yes	characteristic
105	C₁₃×#462	C₂²	1	1	yes	characteristic
106	C₁₃×#462	C₂²	1	2	yes	—
107	C₁₃×#461	C₂²	1	1	yes	characteristic
108	C₁₃×#461	C₂²	1	2	yes	—
109	C₁₃×#460	C₂²	1	1	yes	characteristic
110	C₁₃×#460	C₂²	1	1	yes	characteristic
111	C₁₃×#460	C₂²	1	1	yes	characteristic
112	C₁₃×#459	C₂²	1	1	yes	characteristic
113	C₁₃×#452	C₂²	1	2	yes	—
114	C₁₃×#452	C₂²	1	2	yes	—
115	C₁₃×#452	C₂²	1	2	yes	—
116	C₁₃×#452	C₂²	1	2	yes	—
117	C₁₃×#451	C₂²	1	2	yes	—
118	C₁₃×#449	C₂²	1	2	yes	—
119	C₁₃×#449	C₂²	1	2	yes	—
120	C₁₃×#448	C₂²	1	2	yes	—
121	C₁₃×#441	C₂²	1	2	yes	—
122	C₁₃×#440	C₂²	1	2	yes	—
123	C₁₃×#440	C₂²	1	2	yes	—
124	C₁₃×#440	C₂²	1	2	yes	—
125	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
126	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
128	C₄×C₁₃×D₈	C₂²	1	2	yes	—
129	C₁₃×#433	C₂²	1	2	yes	—
130	C₁₃×#433	C₂²	1	2	yes	—
131	C₁₃×#432	C₂²	1	1	yes	characteristic
132	C₁₃×#432	C₂²	1	1	yes	characteristic
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic
135	C₁₃×#423	C₂²	1	1	yes	characteristic
136	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
137	C₁₃×#408	C₂²	1	2	yes	—
138	C₁₃×#405	C₂²	1	2	yes	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
144	C₂²×Q₈×C₁₃	—	2	1	no	—
145	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#126	—	2	1	no	—
178	C₁₃×#126	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	1	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	—	2	1	no	—
187	C₁₃×#125	—	2	1	no	—
188	C₁₃×#125	C₂³	1	1	yes	characteristic
189	C₁₃×#125	C₂³	1	1	yes	characteristic
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	2	no	—
194	C₁₃×#124	—	2	2	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	C₂³	1	1	yes	characteristic
198	C₁₃×#124	C₂³	1	2	yes	—
199	C₁₃×#124	C₂³	1	1	yes	characteristic
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	1	no	—
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×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	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	—	2	1	no	—
218	C₁₃×C₂²⋊Q₈	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	—	2	2	no	—
221	C₁₃×C₂²⋊Q₈	—	2	2	no	—
222	C₁₃×C₂²⋊Q₈	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	—	2	1	no	—
224	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	2	no	—
237	C₁₃×#121	—	2	2	no	—
238	C₁₃×#121	—	2	1	no	—
239	C₁₃×#121	—	2	1	no	—
240	C₁₃×#121	—	2	1	no	—
241	C₁₃×#121	—	2	1	no	—
242	C₁₃×#121	C₂³	1	2	yes	—
243	C₁₃×#121	C₂³	1	1	yes	characteristic
244	C₁₃×#121	C₂³	1	2	yes	—
245	C₁₃×#121	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
251	C₄×Q₈×C₁₃	—	2	1	no	—
252	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
254	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
258	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
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	2	no	—
267	C₄×D₄×C₁₃	—	2	2	no	—
268	C₄×D₄×C₁₃	—	2	1	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	D₄	1	1	yes	characteristic
273	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
274	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
275	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
276	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
277	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	2	yes	—
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	2	yes	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	—	2	1	no	—
284	C₁₃×#117	—	2	1	no	—
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	—	2	2	no	—
287	C₁₃×#117	—	2	1	no	—
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	C₂³	1	1	yes	characteristic
291	C₁₃×#117	C₂³	1	1	yes	characteristic
292	C₁₃×#117	C₂³	1	1	yes	characteristic
293	C₁₃×#117	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
299	C₂×C₄²×C₁₃	—	2	1	no	—
300	C₂×C₄²×C₁₃	—	2	1	no	—
301	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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×#107	C₂³	1	2	yes	—
309	C₁₃×#107	C₂³	1	2	yes	—
310	C₁₃×#106	C₂³	1	2	yes	—
311	C₁₃×#106	C₂³	1	2	yes	—
312	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
313	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#103	C₂³	1	2	yes	—
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×#102	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×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×#97	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#60993	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₁₃×#41	—	4	1	no	—
344	C₁₃×#41	—	4	1	no	—
345	C₁₃×#41	—	4	1	no	—
346	C₁₃×#41	—	4	1	no	—
347	C₁₃×#41	—	4	2	no	—
348	C₁₃×#41	—	4	2	no	—
349	C₁₃×#41	—	8	2	no	—
350	C₁₃×#41	—	8	2	no	—
351	C₂×Q₈×C₁₃	—	2	1	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	2	1	no	—
355	C₂×Q₈×C₁₃	—	2	1	no	—
356	C₂×Q₈×C₁₃	—	2	2	no	—
357	C₂×Q₈×C₁₃	—	4	1	no	—
358	C₂×Q₈×C₁₃	—	4	1	no	—
359	C₂×Q₈×C₁₃	—	8	2	no	—
360	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
361	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
364	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	2	no	—
370	C₂×D₄×C₁₃	—	2	2	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
374	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
375	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
378	C₂²×C₄×C₁₃	—	2	1	no	—
379	C₂²×C₄×C₁₃	—	2	1	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	2	1	no	—
382	C₂²×C₄×C₁₃	—	2	1	no	—
383	C₂²×C₄×C₁₃	—	2	2	no	—
384	C₂²×C₄×C₁₃	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₁₃×Q₁₆	—	4	2	no	—
397	C₁₃×Q₁₆	—	4	2	no	—
398	C₁₃×Q₁₆	—	4	2	no	—
399	C₁₃×SD₁₆	—	4	2	no	—
400	C₁₃×SD₁₆	—	4	2	no	—
401	C₁₃×SD₁₆	—	4	2	no	—
402	C₁₃×SD₁₆	—	4	2	no	—
403	C₁₃×D₈	—	4	2	no	—
404	C₁₃×M₁₆	—	4	2	no	—
405	C₂×C₈×C₁₃	—	4	2	no	—
406	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
407	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
408	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
409	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	1	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	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	2	2	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
446	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
454	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	no	—
459	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	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	2	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	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	no	—
478	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
481	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
482	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₄²×C₁₃	—	2	1	no	—
485	C₄²×C₁₃	—	2	1	no	—
486	C₄²×C₁₃	—	2	1	no	—
487	C₄²×C₁₃	—	2	1	no	—
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	1	no	—
490	C₄²×C₁₃	—	2	1	no	—
491	C₄²×C₁₃	—	2	2	no	—
492	C₄²×C₁₃	—	2	2	no	—
493	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
503	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3249	C₂×C₁₃	1	1	yes	characteristic, complemented
508	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3243	C₂×C₁₃	1	2	yes	complemented
510	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3230	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3225	C₂×C₁₃	1	2	yes	complemented
513	#3216	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3203	C₂×C₁₃	1	2	yes	complemented
516	#3201	C₂×C₁₃	1	2	yes	complemented
517	#3178	C₂×C₁₃	1	2	yes	complemented
518	#3175	C₂×C₁₃	1	2	yes	complemented
519	#3124	C₂×C₁₃	1	2	yes	complemented
520	#3120	C₂×C₁₃	1	2	yes	complemented
521	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
524	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2925	C₂×C₁₃	1	1	yes	characteristic, complemented
526	C₂³×C₁₃	—	2	1	no	—
527	C₂³×C₁₃	—	2	2	no	—
528	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
529	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
530	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	Q₈×C₁₃	—	2	1	no	—
532	Q₈×C₁₃	—	2	1	no	—
533	Q₈×C₁₃	—	2	1	no	—
534	Q₈×C₁₃	—	2	2	no	—
535	Q₈×C₁₃	—	2	1	no	—
536	Q₈×C₁₃	—	2	1	no	—
537	Q₈×C₁₃	—	2	2	no	—
538	Q₈×C₁₃	—	2	1	no	—
539	Q₈×C₁₃	—	4	1	no	—
540	Q₈×C₁₃	—	4	2	no	—
541	Q₈×C₁₃	—	4	2	no	—
542	Q₈×C₁₃	—	4	2	no	—
543	Q₈×C₁₃	—	8	1	no	—
544	Q₈×C₁₃	—	8	1	no	—
545	Q₈×C₁₃	—	8	2	no	—
546	D₄×C₁₃	—	2	1	no	—
547	D₄×C₁₃	—	2	2	no	—
548	D₄×C₁₃	—	2	1	no	—
549	D₄×C₁₃	—	2	2	no	—
550	D₄×C₁₃	—	4	1	no	—
551	D₄×C₁₃	—	4	1	no	—
552	D₄×C₁₃	—	4	1	no	—
553	D₄×C₁₃	—	4	2	no	—
554	D₄×C₁₃	—	4	2	no	—
555	D₄×C₁₃	—	4	4	no	—
556	D₄×C₁₃	—	4	2	no	—
557	D₄×C₁₃	—	8	1	no	—
558	D₄×C₁₃	—	8	1	no	—
559	D₄×C₁₃	—	8	2	no	—
560	D₄×C₁₃	—	8	2	no	—
561	C₂×C₄×C₁₃	—	2	2	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	2	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	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	2	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	2	2	no	—
580	C₂×C₄×C₁₃	—	4	1	no	—
581	C₂×C₄×C₁₃	—	4	1	no	—
582	C₂×C₄×C₁₃	—	4	1	no	—
583	C₂×C₄×C₁₃	—	4	4	no	—
584	C₂×C₄×C₁₃	—	4	2	no	—
585	C₂×C₄×C₁₃	—	4	2	no	—
586	C₂×C₄×C₁₃	—	4	2	no	—
587	C₂×C₄×C₁₃	—	8	1	no	—
588	C₂×C₄×C₁₃	—	8	2	no	—
589	C₂×C₄×C₁₃	—	8	2	no	—
590	C₂×C₄×C₁₃	—	8	1	no	—
591	C₂×C₄×C₁₃	—	8	2	no	—
592	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
593	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
594	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
595	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
596	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
597	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
598	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
599	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
600	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
601	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
602	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
603	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
604	C₈×C₁₃	—	2	2	no	—
605	C₈×C₁₃	—	2	2	no	—
606	C₈×C₁₃	—	2	2	no	—
607	C₈×C₁₃	—	2	2	no	—
608	#556	—	2	1	no	—
609	#555	—	2	1	no	—
610	#554	—	2	1	no	—
611	#553	—	2	1	no	—
612	#553	—	2	1	no	—
613	#548	—	2	1	no	—
614	#548	—	2	1	no	—
615	#547	—	2	1	no	—
616	#544	C₂²×C₁₃	1	1	yes	characteristic
617	#542	—	2	1	no	—
618	#542	C₂²×C₁₃	1	1	yes	characteristic
619	#542	C₂²×C₁₃	1	1	yes	characteristic
620	#542	C₂²×C₁₃	1	2	yes	—
621	#542	C₂²×C₁₃	1	2	yes	—
622	#541	—	2	1	no	—
623	#541	C₂²×C₁₃	1	1	yes	characteristic
624	#541	C₂²×C₁₃	1	1	yes	characteristic
625	#539	—	2	1	no	—
626	#539	—	2	1	no	—
627	#537	C₂²×C₁₃	1	2	yes	—
628	#537	C₂²×C₁₃	1	1	yes	characteristic
629	#536	C₂²×C₁₃	1	1	yes	characteristic
630	#536	C₂²×C₁₃	1	1	yes	characteristic
631	#533	—	2	1	no	—
632	#533	C₂²×C₁₃	1	1	yes	characteristic
633	#533	C₂²×C₁₃	1	1	yes	characteristic
634	#533	C₂²×C₁₃	1	1	yes	characteristic
635	#533	C₂²×C₁₃	1	1	yes	characteristic
636	#532	C₂²×C₁₃	1	1	yes	characteristic
637	#532	C₂²×C₁₃	1	1	yes	characteristic
638	#532	C₂²×C₁₃	1	1	yes	characteristic
639	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
640	#529	—	2	1	no	—
641	#529	—	2	1	no	—
642	#529	—	2	1	no	—
643	#529	C₂²×C₁₃	1	1	yes	characteristic
644	#529	C₂²×C₁₃	1	1	yes	characteristic
645	#520	C₂²×C₁₃	1	2	yes	—
646	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
647	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
648	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
649	#501	C₂²×C₁₃	1	2	yes	—
650	#500	C₂²×C₁₃	1	2	yes	—
651	#497	C₂²×C₁₃	1	2	yes	—
652	#495	C₂²×C₁₃	1	2	yes	—
653	#489	C₂²×C₁₃	1	2	yes	—
654	#489	C₂²×C₁₃	1	2	yes	—
655	#488	C₂²×C₁₃	1	2	yes	—
656	#487	C₂²×C₁₃	1	2	yes	—
657	#485	C₂²×C₁₃	1	2	yes	—
658	#484	C₂²×C₁₃	1	2	yes	—
659	#484	C₂²×C₁₃	1	2	yes	—
660	#484	C₂²×C₁₃	1	2	yes	—
661	#483	C₂²×C₁₃	1	2	yes	—
662	#482	C₂²×C₁₃	1	2	yes	—
663	#480	C₂²×C₁₃	1	2	yes	—
664	#480	C₂²×C₁₃	1	2	yes	—
665	#479	C₂²×C₁₃	1	2	yes	—
666	#478	C₂²×C₁₃	1	2	yes	—
667	#477	C₂²×C₁₃	1	1	yes	characteristic
668	#477	C₂²×C₁₃	1	1	yes	characteristic
669	#477	C₂²×C₁₃	1	1	yes	characteristic
670	#477	C₂²×C₁₃	1	1	yes	characteristic
671	#477	C₂²×C₁₃	1	1	yes	characteristic
672	#477	C₂²×C₁₃	1	1	yes	characteristic
673	#477	C₂²×C₁₃	1	2	yes	—
674	#476	C₂²×C₁₃	1	1	yes	characteristic
675	#476	C₂²×C₁₃	1	1	yes	characteristic
676	#474	C₂²×C₁₃	1	2	yes	—
677	#470	C₂²×C₁₃	1	2	yes	—
678	#468	C₂²×C₁₃	1	2	yes	—
679	#468	C₂²×C₁₃	1	2	yes	—
680	#468	C₂²×C₁₃	1	2	yes	—
681	#467	C₂²×C₁₃	1	2	yes	—
682	#467	C₂²×C₁₃	1	2	yes	—
683	#466	C₂²×C₁₃	1	2	yes	—
684	#465	C₂²×C₁₃	1	2	yes	—
685	#464	C₂²×C₁₃	1	2	yes	—
686	#463	C₂²×C₁₃	1	2	yes	—
687	#462	C₂²×C₁₃	1	1	yes	characteristic
688	#462	C₂²×C₁₃	1	1	yes	characteristic
689	#462	C₂²×C₁₃	1	1	yes	characteristic
690	#462	C₂²×C₁₃	1	2	yes	—
691	#461	C₂²×C₁₃	1	1	yes	characteristic
692	#461	C₂²×C₁₃	1	2	yes	—
693	#460	C₂²×C₁₃	1	1	yes	characteristic
694	#460	C₂²×C₁₃	1	1	yes	characteristic
695	#460	C₂²×C₁₃	1	1	yes	characteristic
696	#459	C₂²×C₁₃	1	1	yes	characteristic
697	#452	C₂²×C₁₃	1	2	yes	—
698	#452	C₂²×C₁₃	1	2	yes	—
699	#452	C₂²×C₁₃	1	2	yes	—
700	#452	C₂²×C₁₃	1	2	yes	—
701	#451	C₂²×C₁₃	1	2	yes	—
702	#449	C₂²×C₁₃	1	2	yes	—
703	#449	C₂²×C₁₃	1	2	yes	—
704	#448	C₂²×C₁₃	1	2	yes	—
705	#441	C₂²×C₁₃	1	2	yes	—
706	#440	C₂²×C₁₃	1	2	yes	—
707	#440	C₂²×C₁₃	1	2	yes	—
708	#440	C₂²×C₁₃	1	2	yes	—
709	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
710	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
711	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
712	C₄×D₈	C₂²×C₁₃	1	2	yes	—
713	#433	C₂²×C₁₃	1	2	yes	—
714	#433	C₂²×C₁₃	1	2	yes	—
715	#432	C₂²×C₁₃	1	1	yes	characteristic
716	#432	C₂²×C₁₃	1	1	yes	characteristic
717	#431	C₂²×C₁₃	1	1	yes	characteristic
718	#431	C₂²×C₁₃	1	1	yes	characteristic
719	#423	C₂²×C₁₃	1	1	yes	characteristic
720	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
721	#408	C₂²×C₁₃	1	2	yes	—
722	#405	C₂²×C₁₃	1	2	yes	—
723	C₂²×C₁₃	—	2	1	no	—
724	C₂²×C₁₃	—	2	1	no	—
725	C₂²×C₁₃	—	2	1	no	—
726	C₂²×C₁₃	—	2	1	no	—
727	C₂²×C₁₃	—	2	1	no	—
728	C₂²×C₁₃	—	2	1	no	—
729	C₂²×C₁₃	—	2	1	no	—
730	C₂²×C₁₃	—	2	1	no	—
731	C₂²×C₁₃	—	2	1	no	—
732	C₂²×C₁₃	—	4	2	no	—
733	C₂²×C₁₃	—	4	1	no	—
734	C₂²×C₁₃	—	4	1	no	—
735	C₂²×C₁₃	—	4	2	no	—
736	C₂²×C₁₃	—	4	1	no	—
737	C₂²×C₁₃	—	4	2	no	—
738	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
739	C₄×C₁₃	—	2	1	no	—
740	C₄×C₁₃	—	2	1	no	—
741	C₄×C₁₃	—	2	1	no	—
742	C₄×C₁₃	—	2	1	no	—
743	C₄×C₁₃	—	2	1	no	—
744	C₄×C₁₃	—	2	1	no	—
745	C₄×C₁₃	—	2	1	no	—
746	C₄×C₁₃	—	2	1	no	—
747	C₄×C₁₃	—	2	1	no	—
748	C₄×C₁₃	—	2	1	no	—
749	C₄×C₁₃	—	4	2	no	—
750	C₄×C₁₃	—	4	2	no	—
751	C₄×C₁₃	—	4	1	no	—
752	C₄×C₁₃	—	4	1	no	—
753	C₄×C₁₃	—	4	1	no	—
754	C₄×C₁₃	—	4	2	no	—
755	C₄×C₁₃	—	4	1	no	—
756	C₄×C₁₃	—	4	1	no	—
757	C₄×C₁₃	—	4	1	no	—
758	C₄×C₁₃	—	4	1	no	—
759	C₄×C₁₃	#578	1	2	yes	—
760	C₄×C₁₃	#585	1	1	yes	characteristic
761	C₄×C₁₃	#585	1	1	yes	characteristic
762	C₂×#41	—	2	1	no	—
763	C₂×#41	—	2	1	no	—
764	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
765	C₂×#41	C₂³×C₁₃	1	2	yes	—
766	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
767	C₂²×Q₈	—	2	1	no	—
768	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
769	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
770	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
771	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
772	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
773	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
774	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
775	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
776	C₂×D₈	C₂³×C₁₃	1	2	yes	—
777	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
778	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
779	C₄⋊Q₈	—	2	1	no	—
780	C₄⋊Q₈	—	2	1	no	—
781	C₄⋊Q₈	—	2	1	no	—
782	C₄⋊Q₈	—	2	1	no	—
783	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
786	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
788	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
789	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
790	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
791	#127	C₂³×C₁₃	1	1	yes	characteristic
792	#126	—	2	1	no	—
793	#126	—	2	1	no	—
794	#126	—	2	2	no	—
795	#126	—	2	2	no	—
796	#126	—	2	1	no	—
797	#126	—	2	1	no	—
798	#126	—	2	1	no	—
799	#126	—	2	1	no	—
800	#126	—	2	1	no	—
801	#126	—	2	1	no	—
802	#125	—	2	1	no	—
803	#125	—	2	1	no	—
804	#125	—	2	1	no	—
805	#125	—	2	1	no	—
806	#125	—	2	1	no	—
807	#125	—	2	1	no	—
808	#125	—	2	1	no	—
809	#125	—	2	1	no	—
810	#125	—	2	1	no	—
811	#125	C₂³×C₁₃	1	1	yes	characteristic
812	#125	C₂³×C₁₃	1	1	yes	characteristic
813	#124	—	2	1	no	—
814	#124	—	2	1	no	—
815	#124	—	2	1	no	—
816	#124	—	2	2	no	—
817	#124	—	2	2	no	—
818	#124	—	2	1	no	—
819	#124	—	2	1	no	—
820	#124	C₂³×C₁₃	1	1	yes	characteristic
821	#124	C₂³×C₁₃	1	1	yes	characteristic
822	#124	C₂³×C₁₃	1	2	yes	—
823	#123	—	2	1	no	—
824	#123	—	2	1	no	—
825	#123	—	2	1	no	—
826	#123	—	2	1	no	—
827	#123	—	2	1	no	—
828	#123	—	2	1	no	—
829	#123	—	2	1	no	—
830	#123	—	2	1	no	—
831	#123	—	2	2	no	—
832	#123	—	2	2	no	—
833	C₂²⋊Q₈	—	2	1	no	—
834	C₂²⋊Q₈	—	2	2	no	—
835	C₂²⋊Q₈	—	2	1	no	—
836	C₂²⋊Q₈	—	2	1	no	—
837	C₂²⋊Q₈	—	2	1	no	—
838	C₂²⋊Q₈	—	2	1	no	—
839	C₂²⋊Q₈	—	2	1	no	—
840	C₂²⋊Q₈	—	2	1	no	—
841	C₂²⋊Q₈	—	2	1	no	—
842	C₂²⋊Q₈	—	2	1	no	—
843	C₂²⋊Q₈	—	2	2	no	—
844	C₂²⋊Q₈	—	2	2	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
848	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
850	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
854	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
855	#121	—	2	1	no	—
856	#121	—	2	1	no	—
857	#121	—	2	1	no	—
858	#121	—	2	2	no	—
859	#121	—	2	2	no	—
860	#121	—	2	2	no	—
861	#121	—	2	1	no	—
862	#121	—	2	1	no	—
863	#121	—	2	1	no	—
864	#121	—	2	1	no	—
865	#121	C₂³×C₁₃	1	1	yes	characteristic
866	#121	C₂³×C₁₃	1	1	yes	characteristic
867	#121	C₂³×C₁₃	1	2	yes	—
868	#121	C₂³×C₁₃	1	2	yes	—
869	C₄×Q₈	—	2	1	no	—
870	C₄×Q₈	—	2	1	no	—
871	C₄×Q₈	—	2	1	no	—
872	C₄×Q₈	—	2	1	no	—
873	C₄×Q₈	—	2	1	no	—
874	C₄×Q₈	—	2	1	no	—
875	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
876	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
877	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
879	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
880	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
882	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
883	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
884	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
885	C₄×D₄	—	2	1	no	—
886	C₄×D₄	—	2	1	no	—
887	C₄×D₄	—	2	1	no	—
888	C₄×D₄	—	2	1	no	—
889	C₄×D₄	—	2	2	no	—
890	C₄×D₄	—	2	2	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
896	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
897	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
898	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
899	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
900	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
901	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
902	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
903	C₄×D₄	C₂³×C₁₃	1	2	yes	—
904	C₄×D₄	C₂³×C₁₃	1	2	yes	—
905	#117	—	2	1	no	—
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	—	2	2	no	—
910	#117	—	2	1	no	—
911	#117	—	2	1	no	—
912	#117	—	2	1	no	—
913	#117	C₂³×C₁₃	1	1	yes	characteristic
914	#117	C₂³×C₁₃	1	1	yes	characteristic
915	#117	C₂³×C₁₃	1	1	yes	characteristic
916	#117	C₂³×C₁₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	—	2	1	no	—
918	C₂×C₄⋊C₄	—	2	1	no	—
919	C₂×C₄⋊C₄	—	2	2	no	—
920	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
922	C₂×C₄²	—	2	1	no	—
923	C₂×C₄²	—	2	1	no	—
924	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
925	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
926	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
927	#107	C₂³×C₁₃	1	2	yes	—
928	#107	C₂³×C₁₃	1	2	yes	—
929	#107	C₂³×C₁₃	1	2	yes	—
930	#107	C₂³×C₁₃	1	2	yes	—
931	#107	C₂³×C₁₃	1	2	yes	—
932	#107	C₂³×C₁₃	1	2	yes	—
933	#106	C₂³×C₁₃	1	2	yes	—
934	#106	C₂³×C₁₃	1	2	yes	—
935	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
936	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
937	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
938	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
939	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
940	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
941	#103	C₂³×C₁₃	1	2	yes	—
942	#103	C₂³×C₁₃	1	2	yes	—
943	#103	C₂³×C₁₃	1	2	yes	—
944	#103	C₂³×C₁₃	1	2	yes	—
945	#103	C₂³×C₁₃	1	2	yes	—
946	#103	C₂³×C₁₃	1	2	yes	—
947	#103	C₂³×C₁₃	1	2	yes	—
948	#103	C₂³×C₁₃	1	2	yes	—
949	#103	C₂³×C₁₃	1	2	yes	—
950	#103	C₂³×C₁₃	1	2	yes	—
951	#102	C₂³×C₁₃	1	2	yes	—
952	#102	C₂³×C₁₃	1	2	yes	—
953	#102	C₂³×C₁₃	1	2	yes	—
954	#102	C₂³×C₁₃	1	2	yes	—
955	#102	C₂³×C₁₃	1	2	yes	—
956	#102	C₂³×C₁₃	1	2	yes	—
957	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
958	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
959	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
960	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
961	#97	C₂³×C₁₃	1	2	yes	—
962	#97	C₂³×C₁₃	1	2	yes	—
963	C₄×C₈	C₂³×C₁₃	1	2	yes	—
964	C₄×C₈	C₂³×C₁₃	1	2	yes	—
965	C₂×C₁₃	—	4	1	no	—
966	C₂×C₁₃	—	4	1	no	—
967	C₂×C₁₃	—	4	1	no	—
968	C₂×C₁₃	—	8	2	no	—
969	C₂×C₁₃	—	8	1	no	—
970	C₂×C₁₃	#3449	1	1	yes	characteristic
971	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
972	C₂×C₁₃	#3585	1	1	yes	characteristic
973	#41	—	4	1	no	—
974	#41	—	4	1	no	—
975	#41	—	4	1	no	—
976	#41	—	4	1	no	—
977	#41	—	4	2	no	—
978	#41	—	4	2	no	—
979	#41	—	8	2	no	—
980	#41	—	8	2	no	—
981	C₂×Q₈	—	2	1	no	—
982	C₂×Q₈	—	2	1	no	—
983	C₂×Q₈	—	2	1	no	—
984	C₂×Q₈	—	2	1	no	—
985	C₂×Q₈	—	2	1	no	—
986	C₂×Q₈	—	2	2	no	—
987	C₂×Q₈	—	4	1	no	—
988	C₂×Q₈	—	4	1	no	—
989	C₂×Q₈	—	8	2	no	—
990	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
991	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
992	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
993	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
994	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
995	C₂×D₄	—	2	2	no	—
996	C₂×D₄	—	2	1	no	—
997	C₂×D₄	—	2	1	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	2	no	—
1000	C₂×D₄	—	2	2	no	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1004	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1005	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1006	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1007	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1008	C₂²×C₄	—	2	1	no	—
1009	C₂²×C₄	—	2	1	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	2	1	no	—
1012	C₂²×C₄	—	2	1	no	—
1013	C₂²×C₄	—	2	2	no	—
1014	C₂²×C₄	—	2	1	no	—
1015	C₂²×C₄	—	2	2	no	—
1016	C₂²×C₄	—	2	2	no	—
1017	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1018	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1019	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1020	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1021	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1026	Q₁₆	—	4	2	no	—
1027	Q₁₆	—	4	2	no	—
1028	Q₁₆	—	4	2	no	—
1029	SD₁₆	—	4	2	no	—
1030	SD₁₆	—	4	2	no	—
1031	SD₁₆	—	4	2	no	—
1032	SD₁₆	—	4	2	no	—
1033	D₈	—	4	2	no	—
1034	M₁₆	—	4	2	no	—
1035	C₂×C₈	—	4	2	no	—
1036	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1037	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1038	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1039	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1040	C₄⋊C₄	—	2	2	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	1	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	1	no	—
1047	C₄⋊C₄	—	2	1	no	—
1048	C₄⋊C₄	—	2	1	no	—
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	2	1	no	—
1058	C₄⋊C₄	—	2	1	no	—
1059	C₄⋊C₄	—	2	1	no	—
1060	C₄⋊C₄	—	2	1	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	1	no	—
1068	C₄⋊C₄	—	2	1	no	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	2	1	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1074	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1075	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1076	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1077	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1078	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1079	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1080	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1081	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1082	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1083	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1084	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1085	C₂²⋊C₄	—	2	2	no	—
1086	C₂²⋊C₄	—	2	2	no	—
1087	C₂²⋊C₄	—	2	1	no	—
1088	C₂²⋊C₄	—	2	1	no	—
1089	C₂²⋊C₄	—	2	1	no	—
1090	C₂²⋊C₄	—	2	1	no	—
1091	C₂²⋊C₄	—	2	1	no	—
1092	C₂²⋊C₄	—	2	1	no	—
1093	C₂²⋊C₄	—	2	1	no	—
1094	C₂²⋊C₄	—	2	2	no	—
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1109	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1110	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1111	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1112	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1113	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1114	C₄²	—	2	1	no	—
1115	C₄²	—	2	1	no	—
1116	C₄²	—	2	1	no	—
1117	C₄²	—	2	1	no	—
1118	C₄²	—	2	1	no	—
1119	C₄²	—	2	1	no	—
1120	C₄²	—	2	1	no	—
1121	C₄²	—	2	2	no	—
1122	C₄²	—	2	2	no	—
1123	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1124	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1125	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1126	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1127	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1128	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1129	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1130	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1131	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1132	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1133	C₁₃	#60993	1	1	yes	characteristic, direct product factor, Sylow
1134	C₂³	—	2	1	no	—
1135	C₂³	—	2	2	no	—
1136	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1137	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1138	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1139	Q₈	—	2	1	no	—
1140	Q₈	—	2	1	no	—
1141	Q₈	—	2	1	no	—
1142	Q₈	—	2	2	no	—
1143	Q₈	—	2	1	no	—
1144	Q₈	—	2	1	no	—
1145	Q₈	—	2	2	no	—
1146	Q₈	—	2	1	no	—
1147	Q₈	—	4	1	no	—
1148	Q₈	—	4	2	no	—
1149	Q₈	—	4	2	no	—
1150	Q₈	—	4	2	no	—
1151	Q₈	—	8	2	no	—
1152	Q₈	—	8	1	no	—
1153	Q₈	—	8	1	no	—
1154	D₄	—	2	1	no	—
1155	D₄	—	2	2	no	—
1156	D₄	—	2	1	no	—
1157	D₄	—	2	2	no	—
1158	D₄	—	4	1	no	—
1159	D₄	—	4	1	no	—
1160	D₄	—	4	1	no	—
1161	D₄	—	4	2	no	—
1162	D₄	—	4	2	no	—
1163	D₄	—	4	4	no	—
1164	D₄	—	4	2	no	—
1165	D₄	—	8	1	no	—
1166	D₄	—	8	1	no	—
1167	D₄	—	8	2	no	—
1168	D₄	—	8	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	2	no	—
1188	C₂×C₄	—	4	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	4	4	no	—
1192	C₂×C₄	—	4	2	no	—
1193	C₂×C₄	—	4	2	no	—
1194	C₂×C₄	—	4	2	no	—
1195	C₂×C₄	—	8	1	no	—
1196	C₂×C₄	—	8	2	no	—
1197	C₂×C₄	—	8	2	no	—
1198	C₂×C₄	—	8	1	no	—
1199	C₂×C₄	—	8	2	no	—
1200	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1201	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1202	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1203	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1204	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1205	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1206	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1207	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1208	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1209	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1210	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1211	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1212	C₈	—	2	2	no	—
1213	C₈	—	2	2	no	—
1214	C₈	—	2	2	no	—
1215	C₈	—	2	2	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	1	no	—
1218	C₂²	—	2	1	no	—
1219	C₂²	—	2	1	no	—
1220	C₂²	—	2	1	no	—
1221	C₂²	—	2	1	no	—
1222	C₂²	—	2	1	no	—
1223	C₂²	—	2	1	no	—
1224	C₂²	—	2	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	2	no	—
1227	C₂²	—	4	2	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	4	2	no	—
1231	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1232	C₄	—	2	1	no	—
1233	C₄	—	2	1	no	—
1234	C₄	—	2	1	no	—
1235	C₄	—	2	1	no	—
1236	C₄	—	2	1	no	—
1237	C₄	—	2	1	no	—
1238	C₄	—	2	1	no	—
1239	C₄	—	2	1	no	—
1240	C₄	—	2	1	no	—
1241	C₄	—	2	1	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	2	no	—
1244	C₄	—	4	2	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	4	2	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	C₁₃×#578	1	2	yes	—
1253	C₄	C₁₃×#585	1	1	yes	characteristic
1254	C₄	C₁₃×#585	1	1	yes	characteristic
1255	C₂	—	4	1	no	—
1256	C₂	—	4	1	no	—
1257	C₂	—	4	1	no	—
1258	C₂	—	8	1	no	—
1259	C₂	—	8	2	no	—
1260	C₂	C₁₃×#3449	1	1	yes	characteristic
1261	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1262	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×#3511	C₂	semidirect
2. C₁₃×#3461	C₂	semidirect
3. C₁₃×#3254	C₂	semidirect
4. C₁₃×#3252	C₂	semidirect
5. C₁₃×#3249	C₂	semidirect
6. C₁₃×#3247	C₂	semidirect
7. C₁₃×#3243	C₂	semidirect
8. C₁₃×#3238	C₂	semidirect
9. C₁₃×#3230	C₂	semidirect
10. C₁₃×#3225	C₂	semidirect
11. C₁₃×#3216	C₂	semidirect
12. C₁₃×#3212	C₂	semidirect
13. C₁₃×#3203	C₂	semidirect
14. C₁₃×#3201	C₂	semidirect
15. C₁₃×#3178	C₂	semidirect
16. C₁₃×#3175	C₂	semidirect
17. C₁₃×#3124	C₂	semidirect
18. C₁₃×#3120	C₂	semidirect
19. C₁₃×#3116	C₂	semidirect
20. C₁₃×#3112	C₂	semidirect
21. C₁₃×#3106	C₂	semidirect
22. C₁₃×#3104	C₂	semidirect
23. C₁₃×#2925	C₂	semidirect
342. #60993	C₁₃	direct (N × H)
503. #3511	C₂×C₁₃	semidirect
504. #3461	C₂×C₁₃	semidirect
505. #3254	C₂×C₁₃	semidirect
506. #3252	C₂×C₁₃	semidirect
507. #3249	C₂×C₁₃	semidirect
508. #3247	C₂×C₁₃	semidirect
509. #3243	C₂×C₁₃	semidirect
510. #3238	C₂×C₁₃	semidirect
511. #3230	C₂×C₁₃	semidirect
512. #3225	C₂×C₁₃	semidirect
513. #3216	C₂×C₁₃	semidirect
514. #3212	C₂×C₁₃	semidirect
515. #3203	C₂×C₁₃	semidirect
516. #3201	C₂×C₁₃	semidirect
517. #3178	C₂×C₁₃	semidirect
518. #3175	C₂×C₁₃	semidirect
519. #3124	C₂×C₁₃	semidirect
520. #3120	C₂×C₁₃	semidirect
521. #3116	C₂×C₁₃	semidirect
522. #3112	C₂×C₁₃	semidirect
523. #3106	C₂×C₁₃	semidirect
524. #3104	C₂×C₁₃	semidirect
525. #2925	C₂×C₁₃	semidirect
1133. C₁₃	#60993	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×#3511	2
C₁₃×#3461	2
C₁₃×#3254	2
C₁₃×#3252	2
C₁₃×#3249	2
C₁₃×#3247	2
C₁₃×#3243	2
C₁₃×#3238	2
C₁₃×#3230	2
C₁₃×#3225	2
C₁₃×#3216	2
C₁₃×#3212	2
C₁₃×#3203	2
C₁₃×#3201	2
C₁₃×#3178	2
C₁₃×#3175	2
C₁₃×#3124	2
C₁₃×#3120	2
C₁₃×#3116	2
C₁₃×#3112	2
C₁₃×#3106	2
C₁₃×#3104	2
C₁₃×#2925	2
#60993	13

Subgroups — C13×#60993 #15747332

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60993 #15747332