Subgroups — C₁₃×#61016 #15747355

Order 3328.

1728 conjugacy classes of subgroups.

The subgroup lattice has 1260 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×#3510	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3263	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3239	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3237	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3125	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2923	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	—	2	1	no	—
25	C₁₃×#559	—	2	1	no	—
26	C₁₃×#556	—	2	1	no	—
27	C₁₃×#556	—	2	1	no	—
28	C₁₃×#556	—	2	1	no	—
29	C₁₃×#555	—	2	1	no	—
30	C₁₃×#554	—	2	1	no	—
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#551	—	2	1	no	—
34	C₁₃×#551	—	2	1	no	—
35	C₁₃×#551	—	2	1	no	—
36	C₁₃×#551	—	2	1	no	—
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#548	—	2	1	no	—
39	C₁₃×#547	—	2	1	no	—
40	C₁₃×#542	C₂²	1	1	yes	characteristic
41	C₁₃×#542	C₂²	1	1	yes	characteristic
42	C₁₃×#542	C₂²	1	2	yes	—
43	C₁₃×#542	C₂²	1	1	yes	characteristic
44	C₁₃×#542	C₂²	1	1	yes	characteristic
45	C₁₃×#542	C₂²	1	2	yes	complemented
46	C₁₃×#537	C₂²	1	2	yes	—
47	C₁₃×#536	C₂²	1	1	yes	characteristic
48	C₁₃×#535	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, complemented
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#529	C₂²	1	1	yes	characteristic
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic
59	C₁₃×#529	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
61	C₁₃×#520	C₂²	1	2	yes	complemented
62	C₁₃×#519	C₂²	1	1	yes	characteristic
63	C₁₃×#518	C₂²	1	1	yes	characteristic
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#497	C₂²	1	1	yes	characteristic
70	C₁₃×#497	C₂²	1	1	yes	characteristic
71	C₁₃×#496	C₂²	1	1	yes	characteristic
72	C₁₃×#496	C₂²	1	1	yes	characteristic
73	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#489	C₂²	1	1	yes	characteristic
78	C₁₃×#489	C₂²	1	1	yes	characteristic
79	C₁₃×#489	C₂²	1	1	yes	characteristic
80	C₁₃×#489	C₂²	1	1	yes	characteristic
81	C₁₃×#485	C₂²	1	2	yes	—
82	C₁₃×#485	C₂²	1	2	yes	—
83	C₁₃×#484	C₂²	1	2	yes	complemented
84	C₁₃×#483	C₂²	1	2	yes	complemented
85	C₁₃×#482	C₂²	1	2	yes	—
86	C₁₃×#482	C₂²	1	2	yes	—
87	C₁₃×#481	C₂²	1	2	yes	—
88	C₁₃×#480	C₂²	1	2	yes	—
89	C₁₃×#477	C₂²	1	2	yes	complemented
90	C₁₃×#477	C₂²	1	2	yes	complemented
91	C₁₃×#476	C₂²	1	2	yes	—
92	C₁₃×#476	C₂²	1	2	yes	complemented
93	C₁₃×#475	C₂²	1	2	yes	complemented
94	C₁₃×#475	C₂²	1	2	yes	complemented
95	C₁₃×#474	C₂²	1	2	yes	—
96	C₁₃×#474	C₂²	1	2	yes	complemented
97	C₁₃×#470	C₂²	1	2	yes	complemented
98	C₁₃×#469	C₂²	1	2	yes	—
99	C₁₃×#468	C₂²	1	2	yes	—
100	C₁₃×#468	C₂²	1	2	yes	complemented
101	C₁₃×#467	C₂²	1	2	yes	complemented
102	C₁₃×#466	C₂²	1	2	yes	—
103	C₁₃×#465	C₂²	1	2	yes	—
104	C₁₃×#465	C₂²	1	2	yes	complemented
105	C₁₃×#464	C₂²	1	2	yes	—
106	C₁₃×#464	C₂²	1	2	yes	—
107	C₁₃×#464	C₂²	1	2	yes	complemented
108	C₁₃×#464	C₂²	1	2	yes	complemented
109	C₁₃×#463	C₂²	1	2	yes	—
110	C₁₃×#463	C₂²	1	2	yes	—
111	C₁₃×#463	C₂²	1	2	yes	—
112	C₁₃×#463	C₂²	1	2	yes	—
113	C₁₃×#452	C₂²	1	2	yes	complemented
114	C₁₃×#452	C₂²	1	2	yes	complemented
115	C₁₃×#451	C₂²	1	2	yes	—
116	C₁₃×#450	C₂²	1	2	yes	—
117	C₁₃×#449	C₂²	1	2	yes	—
118	C₁₃×#449	C₂²	1	2	yes	—
119	C₁₃×#448	C₂²	1	2	yes	—
120	C₁₃×#447	C₂²	1	2	yes	—
121	C₁₃×#442	C₂²	1	2	yes	—
122	C₁₃×#441	C₂²	1	2	yes	complemented
123	C₁₃×#440	C₂²	1	2	yes	—
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₁₃×D₈	C₂²	1	2	yes	—
129	C₁₃×#433	C₂²	1	2	yes	—
130	C₁₃×#433	C₂²	1	2	yes	complemented
131	C₁₃×#432	C₂²	1	1	yes	characteristic
132	C₁₃×#432	C₂²	1	1	yes	characteristic
133	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#424	C₂²	1	2	yes	complemented
136	C₁₃×#408	C₂²	1	2	yes	—
137	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	C₂³	1	2	yes	—
142	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
143	C₂²×Q₈×C₁₃	—	2	1	no	—
144	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
145	C₂²×D₄×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×SD₁₆	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×D₈	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	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
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×#127	—	2	1	no	—
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#126	—	2	1	no	—
168	C₁₃×#126	—	2	1	no	—
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×#125	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	C₂³	1	1	yes	characteristic
180	C₁₃×#125	C₂³	1	1	yes	characteristic
181	C₁₃×#124	—	2	1	no	—
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	2	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	—	2	1	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×#124	C₂³	1	2	yes	—
196	C₁₃×#124	C₂³	1	1	yes	characteristic
197	C₁₃×#124	C₂³	1	1	yes	characteristic
198	C₁₃×#123	—	2	1	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×#123	—	2	1	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	1	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	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	2	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	C₂³	1	2	yes	—
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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×#121	—	2	2	no	—
228	C₁₃×#121	—	2	2	no	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	C₂³	1	2	yes	—
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₁₃×#121	C₂³	1	1	yes	characteristic
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×#120	—	2	1	no	—
241	C₁₃×#120	—	2	1	no	—
242	C₄×Q₈×C₁₃	—	2	1	no	—
243	C₄×Q₈×C₁₃	—	2	1	no	—
244	C₄×Q₈×C₁₃	—	2	1	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	D₄	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
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	2	no	—
263	C₄×D₄×C₁₃	—	2	2	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	1	no	—
268	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
269	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
270	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
271	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
272	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
273	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
274	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
275	C₄×D₄×C₁₃	C₂³	1	2	yes	—
276	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	2	yes	—
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₁₃×#117	—	2	1	no	—
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	2	no	—
283	C₁₃×#117	—	2	1	no	—
284	C₁₃×#117	—	2	1	no	—
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	—	2	1	no	—
287	C₁₃×#117	—	2	1	no	—
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	C₂³	1	1	yes	characteristic
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	2	no	—
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
297	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₂²⋊C₄	—	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×#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×C₄⋊C₈	C₂³	1	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×#103	C₂³	1	2	yes	—
317	C₁₃×#103	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×#102	C₂³	1	2	yes	—
325	C₁₃×#102	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	2	yes	—
327	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	2	yes	—
333	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
334	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₁₃×#97	C₂³	1	1	yes	characteristic
337	C₁₃×#97	C₂³	1	1	yes	characteristic
338	C₁₃×#97	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	1	yes	characteristic
340	C₁₃×#97	C₂³	1	1	yes	characteristic
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#61016	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₁₃×#41	—	4	2	no	—
345	C₁₃×#41	—	4	2	no	—
346	C₁₃×#41	—	4	2	no	—
347	C₁₃×#41	—	8	2	no	—
348	C₁₃×#41	—	8	2	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	1	no	—
354	C₂×Q₈×C₁₃	—	2	2	no	—
355	C₂×Q₈×C₁₃	—	4	2	no	—
356	C₂×Q₈×C₁₃	—	8	2	no	—
357	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
361	C₂×D₄×C₁₃	—	2	2	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	2	no	—
367	C₂×D₄×C₁₃	—	2	2	no	—
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	—	4	2	no	—
372	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
373	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
374	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
375	C₂×D₄×C₁₃	C₂⁴	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	2	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	1	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×SD₁₆	—	4	2	no	—
399	C₁₃×SD₁₆	—	4	2	no	—
400	C₁₃×SD₁₆	—	4	2	no	—
401	C₁₃×SD₁₆	—	4	2	no	—
402	C₁₃×D₈	—	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	2	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	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	2	no	—
431	C₁₃×C₄⋊C₄	—	2	2	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
435	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
436	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
446	C₁₃×C₂²⋊C₄	—	2	1	no	—
447	C₁₃×C₂²⋊C₄	—	2	1	no	—
448	C₁₃×C₂²⋊C₄	—	2	2	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
456	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	2	no	—
467	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₁₃	—	2	1	no	—
483	C₄²×C₁₃	—	2	1	no	—
484	C₄²×C₁₃	—	2	1	no	—
485	C₄²×C₁₃	—	2	1	no	—
486	C₄²×C₁₃	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
501	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#3263	C₂×C₁₃	1	2	yes	complemented
503	#3262	C₂×C₁₃	1	2	yes	complemented
504	#3239	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#3237	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
508	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3201	C₂×C₁₃	1	2	yes	complemented
513	#3198	C₂×C₁₃	1	2	yes	complemented
514	#3181	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3180	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3172	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3125	C₂×C₁₃	1	2	yes	complemented
519	#3124	C₂×C₁₃	1	2	yes	complemented
520	#3121	C₂×C₁₃	1	2	yes	complemented
521	#3118	C₂×C₁₃	1	2	yes	complemented
522	#2923	C₂×C₁₃	1	1	yes	characteristic, complemented
523	C₂³×C₁₃	—	2	1	no	—
524	C₂³×C₁₃	—	2	1	no	—
525	C₂³×C₁₃	—	2	2	no	—
526	C₂³×C₁₃	—	4	2	no	—
527	C₂³×C₁₃	—	8	1	no	—
528	C₂³×C₁₃	—	8	1	no	—
529	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
530	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	Q₈×C₁₃	—	2	2	no	—
533	Q₈×C₁₃	—	2	2	no	—
534	Q₈×C₁₃	—	2	2	no	—
535	Q₈×C₁₃	—	2	2	no	—
536	Q₈×C₁₃	—	4	1	no	—
537	Q₈×C₁₃	—	4	2	no	—
538	Q₈×C₁₃	—	4	2	no	—
539	Q₈×C₁₃	—	4	2	no	—
540	Q₈×C₁₃	—	8	1	no	—
541	Q₈×C₁₃	—	8	1	no	—
542	Q₈×C₁₃	—	8	2	no	—
543	D₄×C₁₃	—	2	2	no	—
544	D₄×C₁₃	—	2	2	no	—
545	D₄×C₁₃	—	2	2	no	—
546	D₄×C₁₃	—	2	2	no	—
547	D₄×C₁₃	—	4	1	no	—
548	D₄×C₁₃	—	4	1	no	—
549	D₄×C₁₃	—	4	1	no	—
550	D₄×C₁₃	—	4	2	no	—
551	D₄×C₁₃	—	4	2	no	—
552	D₄×C₁₃	—	4	2	no	—
553	D₄×C₁₃	—	4	4	no	—
554	D₄×C₁₃	—	8	1	no	—
555	D₄×C₁₃	—	8	1	no	—
556	D₄×C₁₃	—	8	1	no	—
557	D₄×C₁₃	—	8	1	no	—
558	D₄×C₁₃	—	8	2	no	—
559	D₄×C₁₃	—	8	2	no	—
560	C₂×C₄×C₁₃	—	2	2	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	2	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	2	no	—
571	C₂×C₄×C₁₃	—	2	2	no	—
572	C₂×C₄×C₁₃	—	4	1	no	—
573	C₂×C₄×C₁₃	—	4	1	no	—
574	C₂×C₄×C₁₃	—	4	1	no	—
575	C₂×C₄×C₁₃	—	4	1	no	—
576	C₂×C₄×C₁₃	—	4	1	no	—
577	C₂×C₄×C₁₃	—	4	1	no	—
578	C₂×C₄×C₁₃	—	4	4	no	—
579	C₂×C₄×C₁₃	—	4	2	no	—
580	C₂×C₄×C₁₃	—	8	1	no	—
581	C₂×C₄×C₁₃	—	8	1	no	—
582	C₂×C₄×C₁₃	—	8	1	no	—
583	C₂×C₄×C₁₃	—	8	1	no	—
584	C₂×C₄×C₁₃	—	8	2	no	—
585	C₂×C₄×C₁₃	—	8	2	no	—
586	C₂×C₄×C₁₃	—	8	2	no	—
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	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
599	C₈×C₁₃	—	2	2	no	—
600	C₈×C₁₃	—	2	2	no	—
601	C₈×C₁₃	—	2	2	no	—
602	C₈×C₁₃	—	2	2	no	—
603	#559	—	2	1	no	—
604	#559	—	2	1	no	—
605	#556	—	2	1	no	—
606	#556	—	2	1	no	—
607	#556	—	2	1	no	—
608	#555	—	2	1	no	—
609	#554	—	2	1	no	—
610	#553	—	2	1	no	—
611	#553	—	2	1	no	—
612	#551	—	2	1	no	—
613	#551	—	2	1	no	—
614	#551	—	2	1	no	—
615	#551	—	2	1	no	—
616	#548	—	2	1	no	—
617	#548	—	2	1	no	—
618	#547	—	2	1	no	—
619	#542	C₂²×C₁₃	1	2	yes	—
620	#542	C₂²×C₁₃	1	1	yes	characteristic
621	#542	C₂²×C₁₃	1	1	yes	characteristic
622	#542	C₂²×C₁₃	1	1	yes	characteristic
623	#542	C₂²×C₁₃	1	1	yes	characteristic
624	#542	C₂²×C₁₃	1	2	yes	complemented
625	#537	C₂²×C₁₃	1	2	yes	—
626	#536	C₂²×C₁₃	1	1	yes	characteristic
627	#535	C₂²×C₁₃	1	1	yes	characteristic
628	#533	C₂²×C₁₃	1	1	yes	characteristic
629	#533	C₂²×C₁₃	1	1	yes	characteristic
630	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#532	C₂²×C₁₃	1	1	yes	characteristic
632	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#529	C₂²×C₁₃	1	1	yes	characteristic
636	#529	C₂²×C₁₃	1	1	yes	characteristic
637	#529	C₂²×C₁₃	1	1	yes	characteristic
638	#529	C₂²×C₁₃	1	1	yes	characteristic
639	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
640	#520	C₂²×C₁₃	1	2	yes	complemented
641	#519	C₂²×C₁₃	1	1	yes	characteristic
642	#518	C₂²×C₁₃	1	1	yes	characteristic
643	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
644	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#497	C₂²×C₁₃	1	1	yes	characteristic
649	#497	C₂²×C₁₃	1	1	yes	characteristic
650	#496	C₂²×C₁₃	1	1	yes	characteristic
651	#496	C₂²×C₁₃	1	1	yes	characteristic
652	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#489	C₂²×C₁₃	1	1	yes	characteristic
657	#489	C₂²×C₁₃	1	1	yes	characteristic
658	#489	C₂²×C₁₃	1	1	yes	characteristic
659	#489	C₂²×C₁₃	1	1	yes	characteristic
660	#485	C₂²×C₁₃	1	2	yes	—
661	#485	C₂²×C₁₃	1	2	yes	—
662	#484	C₂²×C₁₃	1	2	yes	complemented
663	#483	C₂²×C₁₃	1	2	yes	complemented
664	#482	C₂²×C₁₃	1	2	yes	—
665	#482	C₂²×C₁₃	1	2	yes	—
666	#481	C₂²×C₁₃	1	2	yes	—
667	#480	C₂²×C₁₃	1	2	yes	—
668	#477	C₂²×C₁₃	1	2	yes	complemented
669	#477	C₂²×C₁₃	1	2	yes	complemented
670	#476	C₂²×C₁₃	1	2	yes	—
671	#476	C₂²×C₁₃	1	2	yes	complemented
672	#475	C₂²×C₁₃	1	2	yes	complemented
673	#475	C₂²×C₁₃	1	2	yes	complemented
674	#474	C₂²×C₁₃	1	2	yes	—
675	#474	C₂²×C₁₃	1	2	yes	complemented
676	#470	C₂²×C₁₃	1	2	yes	complemented
677	#469	C₂²×C₁₃	1	2	yes	—
678	#468	C₂²×C₁₃	1	2	yes	—
679	#468	C₂²×C₁₃	1	2	yes	complemented
680	#467	C₂²×C₁₃	1	2	yes	complemented
681	#466	C₂²×C₁₃	1	2	yes	—
682	#465	C₂²×C₁₃	1	2	yes	—
683	#465	C₂²×C₁₃	1	2	yes	complemented
684	#464	C₂²×C₁₃	1	2	yes	—
685	#464	C₂²×C₁₃	1	2	yes	—
686	#464	C₂²×C₁₃	1	2	yes	complemented
687	#464	C₂²×C₁₃	1	2	yes	complemented
688	#463	C₂²×C₁₃	1	2	yes	—
689	#463	C₂²×C₁₃	1	2	yes	—
690	#463	C₂²×C₁₃	1	2	yes	—
691	#463	C₂²×C₁₃	1	2	yes	—
692	#452	C₂²×C₁₃	1	2	yes	complemented
693	#452	C₂²×C₁₃	1	2	yes	complemented
694	#451	C₂²×C₁₃	1	2	yes	—
695	#450	C₂²×C₁₃	1	2	yes	—
696	#449	C₂²×C₁₃	1	2	yes	—
697	#449	C₂²×C₁₃	1	2	yes	—
698	#448	C₂²×C₁₃	1	2	yes	—
699	#447	C₂²×C₁₃	1	2	yes	—
700	#442	C₂²×C₁₃	1	2	yes	—
701	#441	C₂²×C₁₃	1	2	yes	complemented
702	#440	C₂²×C₁₃	1	2	yes	—
703	#440	C₂²×C₁₃	1	2	yes	complemented
704	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
705	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
706	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
707	C₄×D₈	C₂²×C₁₃	1	2	yes	—
708	#433	C₂²×C₁₃	1	2	yes	—
709	#433	C₂²×C₁₃	1	2	yes	complemented
710	#432	C₂²×C₁₃	1	1	yes	characteristic
711	#432	C₂²×C₁₃	1	1	yes	characteristic
712	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#424	C₂²×C₁₃	1	2	yes	complemented
715	#408	C₂²×C₁₃	1	2	yes	—
716	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	C₂²×C₁₃	—	2	1	no	—
719	C₂²×C₁₃	—	2	1	no	—
720	C₂²×C₁₃	—	2	1	no	—
721	C₂²×C₁₃	—	2	1	no	—
722	C₂²×C₁₃	—	2	1	no	—
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	—	4	2	no	—
728	C₂²×C₁₃	—	4	1	no	—
729	C₂²×C₁₃	—	4	1	no	—
730	C₂²×C₁₃	—	4	1	no	—
731	C₂²×C₁₃	—	4	1	no	—
732	C₂²×C₁₃	—	4	2	no	—
733	C₂²×C₁₃	—	4	2	no	—
734	C₂²×C₁₃	—	4	1	no	—
735	C₂²×C₁₃	—	4	1	no	—
736	C₂²×C₁₃	—	16	2	no	—
737	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
738	C₄×C₁₃	—	2	1	no	—
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	1	no	—
755	C₄×C₁₃	—	4	2	no	—
756	C₄×C₁₃	—	4	1	no	—
757	C₄×C₁₃	—	4	1	no	—
758	C₄×C₁₃	#585	1	2	yes	—
759	C₂×#41	—	2	1	no	—
760	C₂×#41	—	2	1	no	—
761	C₂×#41	C₂³×C₁₃	1	2	yes	—
762	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
763	C₂²×Q₈	—	2	1	no	—
764	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
765	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
766	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
767	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
768	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
769	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
770	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
771	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
772	C₂×D₈	C₂³×C₁₃	1	2	yes	—
773	C₂×D₈	C₂³×C₁₃	1	2	yes	—
774	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
775	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
776	C₄⋊Q₈	—	2	1	no	—
777	C₄⋊Q₈	—	2	1	no	—
778	C₄⋊Q₈	—	2	1	no	—
779	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
780	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
781	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
783	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	#127	—	2	1	no	—
786	#127	C₂³×C₁₃	1	1	yes	characteristic
787	#126	—	2	1	no	—
788	#126	—	2	1	no	—
789	#126	—	2	1	no	—
790	#126	—	2	1	no	—
791	#126	—	2	2	no	—
792	#126	—	2	2	no	—
793	#126	—	2	1	no	—
794	#126	—	2	1	no	—
795	#126	—	2	1	no	—
796	#126	—	2	1	no	—
797	#125	—	2	1	no	—
798	#125	—	2	1	no	—
799	#125	C₂³×C₁₃	1	1	yes	characteristic
800	#125	C₂³×C₁₃	1	1	yes	characteristic
801	#124	—	2	1	no	—
802	#124	—	2	1	no	—
803	#124	—	2	2	no	—
804	#124	—	2	1	no	—
805	#124	—	2	1	no	—
806	#124	—	2	1	no	—
807	#124	—	2	1	no	—
808	#124	—	2	2	no	—
809	#124	—	2	1	no	—
810	#124	—	2	1	no	—
811	#124	—	2	1	no	—
812	#124	—	2	1	no	—
813	#124	C₂³×C₁₃	1	1	yes	characteristic
814	#124	C₂³×C₁₃	1	1	yes	characteristic
815	#124	C₂³×C₁₃	1	1	yes	characteristic
816	#124	C₂³×C₁₃	1	1	yes	characteristic
817	#124	C₂³×C₁₃	1	2	yes	—
818	#123	—	2	1	no	—
819	#123	—	2	1	no	—
820	#123	—	2	1	no	—
821	#123	—	2	1	no	—
822	#123	—	2	1	no	—
823	#123	—	2	1	no	—
824	#123	—	2	2	no	—
825	#123	—	2	1	no	—
826	#123	—	2	1	no	—
827	#123	—	2	1	no	—
828	#123	—	2	1	no	—
829	#123	—	2	2	no	—
830	C₂²⋊Q₈	—	2	2	no	—
831	C₂²⋊Q₈	—	2	1	no	—
832	C₂²⋊Q₈	—	2	1	no	—
833	C₂²⋊Q₈	—	2	1	no	—
834	C₂²⋊Q₈	—	2	1	no	—
835	C₂²⋊Q₈	—	2	2	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	2	no	—
841	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
842	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
843	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
844	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
845	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
846	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
847	#121	—	2	2	no	—
848	#121	—	2	2	no	—
849	#121	—	2	2	no	—
850	#121	—	2	1	no	—
851	#121	—	2	1	no	—
852	#121	—	2	1	no	—
853	#121	—	2	1	no	—
854	#121	C₂³×C₁₃	1	1	yes	characteristic
855	#121	C₂³×C₁₃	1	1	yes	characteristic
856	#121	C₂³×C₁₃	1	1	yes	characteristic
857	#121	C₂³×C₁₃	1	1	yes	characteristic
858	#121	C₂³×C₁₃	1	2	yes	—
859	#121	C₂³×C₁₃	1	2	yes	—
860	#120	—	2	1	no	—
861	#120	—	2	1	no	—
862	C₄×Q₈	—	2	1	no	—
863	C₄×Q₈	—	2	1	no	—
864	C₄×Q₈	—	2	1	no	—
865	C₄×Q₈	—	2	1	no	—
866	C₄×Q₈	—	2	1	no	—
867	C₄×Q₈	—	2	1	no	—
868	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
869	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
870	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
871	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
872	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
873	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
875	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	2	1	no	—
878	C₄×D₄	—	2	1	no	—
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	—	2	1	no	—
882	C₄×D₄	—	2	2	no	—
883	C₄×D₄	—	2	2	no	—
884	C₄×D₄	—	2	1	no	—
885	C₄×D₄	—	2	1	no	—
886	C₄×D₄	—	2	1	no	—
887	C₄×D₄	—	2	1	no	—
888	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
889	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
890	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
891	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
892	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
893	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
894	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
895	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
896	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
897	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
898	C₄×D₄	C₂³×C₁₃	1	2	yes	—
899	C₄×D₄	C₂³×C₁₃	1	2	yes	—
900	#117	—	2	1	no	—
901	#117	—	2	1	no	—
902	#117	—	2	2	no	—
903	#117	—	2	1	no	—
904	#117	—	2	1	no	—
905	#117	—	2	1	no	—
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	C₂³×C₁₃	1	1	yes	characteristic
910	#117	C₂³×C₁₃	1	1	yes	characteristic
911	#117	C₂³×C₁₃	1	1	yes	characteristic
912	#117	C₂³×C₁₃	1	1	yes	characteristic
913	#117	C₂³×C₁₃	1	1	yes	characteristic
914	C₂×C₄⋊C₄	—	2	1	no	—
915	C₂×C₄⋊C₄	—	2	2	no	—
916	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
917	C₂×C₂²⋊C₄	—	2	1	no	—
918	C₂×C₂²⋊C₄	—	2	1	no	—
919	C₂×C₂²⋊C₄	—	2	1	no	—
920	C₂×C₂²⋊C₄	—	2	1	no	—
921	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
922	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
924	#107	C₂³×C₁₃	1	2	yes	—
925	#107	C₂³×C₁₃	1	2	yes	—
926	#107	C₂³×C₁₃	1	2	yes	—
927	#107	C₂³×C₁₃	1	2	yes	—
928	#106	C₂³×C₁₃	1	2	yes	—
929	#106	C₂³×C₁₃	1	2	yes	—
930	#106	C₂³×C₁₃	1	2	yes	—
931	#106	C₂³×C₁₃	1	2	yes	—
932	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
933	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
934	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
935	C₄⋊C₈	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	#103	C₂³×C₁₃	1	2	yes	—
943	#103	C₂³×C₁₃	1	2	yes	—
944	#102	C₂³×C₁₃	1	2	yes	—
945	#102	C₂³×C₁₃	1	2	yes	—
946	#102	C₂³×C₁₃	1	2	yes	—
947	#102	C₂³×C₁₃	1	2	yes	—
948	#102	C₂³×C₁₃	1	2	yes	—
949	#102	C₂³×C₁₃	1	2	yes	—
950	#102	C₂³×C₁₃	1	2	yes	—
951	#102	C₂³×C₁₃	1	2	yes	—
952	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
953	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
954	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
955	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
956	#97	C₂³×C₁₃	1	1	yes	characteristic
957	#97	C₂³×C₁₃	1	1	yes	characteristic
958	#97	C₂³×C₁₃	1	2	yes	—
959	#97	C₂³×C₁₃	1	1	yes	characteristic
960	#97	C₂³×C₁₃	1	1	yes	characteristic
961	C₄×C₈	C₂³×C₁₃	1	2	yes	—
962	C₂×C₁₃	—	4	1	no	—
963	C₂×C₁₃	—	4	1	no	—
964	C₂×C₁₃	—	4	1	no	—
965	C₂×C₁₃	—	8	2	no	—
966	C₂×C₁₃	—	8	1	no	—
967	C₂×C₁₃	—	8	1	no	—
968	C₂×C₁₃	#3449	1	1	yes	characteristic
969	C₂×C₁₃	#3585	1	1	yes	characteristic
970	C₂×C₁₃	#3586	1	1	yes	characteristic
971	C₂⁴	—	2	1	no	—
972	#41	—	4	2	no	—
973	#41	—	4	2	no	—
974	#41	—	4	2	no	—
975	#41	—	8	2	no	—
976	#41	—	8	2	no	—
977	C₂×Q₈	—	2	1	no	—
978	C₂×Q₈	—	2	1	no	—
979	C₂×Q₈	—	2	1	no	—
980	C₂×Q₈	—	2	1	no	—
981	C₂×Q₈	—	2	1	no	—
982	C₂×Q₈	—	2	2	no	—
983	C₂×Q₈	—	4	2	no	—
984	C₂×Q₈	—	8	2	no	—
985	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
986	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
987	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
989	C₂×D₄	—	2	2	no	—
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	1	no	—
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	2	no	—
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	—	4	2	no	—
1000	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1001	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1002	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1003	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1005	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1006	C₂²×C₄	—	2	1	no	—
1007	C₂²×C₄	—	2	2	no	—
1008	C₂²×C₄	—	2	2	no	—
1009	C₂²×C₄	—	2	1	no	—
1010	C₂²×C₄	—	2	1	no	—
1011	C₂²×C₄	—	2	1	no	—
1012	C₂²×C₄	—	2	1	no	—
1013	C₂²×C₄	—	2	2	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1016	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁴×C₁₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1024	Q₁₆	—	4	2	no	—
1025	Q₁₆	—	4	2	no	—
1026	SD₁₆	—	4	2	no	—
1027	SD₁₆	—	4	2	no	—
1028	SD₁₆	—	4	2	no	—
1029	SD₁₆	—	4	2	no	—
1030	D₈	—	4	2	no	—
1031	D₈	—	4	2	no	—
1032	M₁₆	—	4	2	no	—
1033	C₂×C₈	—	4	2	no	—
1034	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1035	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1036	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1037	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1038	C₄⋊C₄	—	2	2	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	2	no	—
1042	C₄⋊C₄	—	2	2	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	1	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	1	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	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	1	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1063	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1064	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1065	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1066	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1067	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1068	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1069	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1070	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1071	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1072	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1073	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1074	C₂²⋊C₄	—	2	1	no	—
1075	C₂²⋊C₄	—	2	1	no	—
1076	C₂²⋊C₄	—	2	2	no	—
1077	C₂²⋊C₄	—	2	2	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	—	2	1	no	—
1084	C₂²⋊C₄	—	2	1	no	—
1085	C₂²⋊C₄	—	2	1	no	—
1086	C₂²⋊C₄	—	2	1	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	2	no	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1105	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1106	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1107	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1108	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1109	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1110	C₄²	—	2	1	no	—
1111	C₄²	—	2	1	no	—
1112	C₄²	—	2	1	no	—
1113	C₄²	—	2	1	no	—
1114	C₄²	—	2	2	no	—
1115	C₄²	—	2	2	no	—
1116	C₄²	—	2	1	no	—
1117	C₄²	—	2	1	no	—
1118	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1119	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1120	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1121	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1122	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1123	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1124	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1125	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1126	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1127	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1128	C₁₃	#61016	1	1	yes	characteristic, direct product factor, Sylow
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	1	no	—
1131	C₂³	—	2	2	no	—
1132	C₂³	—	4	2	no	—
1133	C₂³	—	8	1	no	—
1134	C₂³	—	8	1	no	—
1135	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1136	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1137	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1138	Q₈	—	2	2	no	—
1139	Q₈	—	2	2	no	—
1140	Q₈	—	2	2	no	—
1141	Q₈	—	2	2	no	—
1142	Q₈	—	4	1	no	—
1143	Q₈	—	4	2	no	—
1144	Q₈	—	4	2	no	—
1145	Q₈	—	4	2	no	—
1146	Q₈	—	8	2	no	—
1147	Q₈	—	8	1	no	—
1148	Q₈	—	8	1	no	—
1149	D₄	—	2	2	no	—
1150	D₄	—	2	2	no	—
1151	D₄	—	2	2	no	—
1152	D₄	—	2	2	no	—
1153	D₄	—	4	1	no	—
1154	D₄	—	4	1	no	—
1155	D₄	—	4	1	no	—
1156	D₄	—	4	2	no	—
1157	D₄	—	4	2	no	—
1158	D₄	—	4	2	no	—
1159	D₄	—	4	4	no	—
1160	D₄	—	8	1	no	—
1161	D₄	—	8	1	no	—
1162	D₄	—	8	1	no	—
1163	D₄	—	8	1	no	—
1164	D₄	—	8	2	no	—
1165	D₄	—	8	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	4	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	4	no	—
1185	C₂×C₄	—	4	2	no	—
1186	C₂×C₄	—	8	1	no	—
1187	C₂×C₄	—	8	1	no	—
1188	C₂×C₄	—	8	1	no	—
1189	C₂×C₄	—	8	1	no	—
1190	C₂×C₄	—	8	2	no	—
1191	C₂×C₄	—	8	2	no	—
1192	C₂×C₄	—	8	2	no	—
1193	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1194	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1195	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1196	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1197	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1198	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1199	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁵×C₁₃	1	1	yes	characteristic
1205	C₈	—	2	2	no	—
1206	C₈	—	2	2	no	—
1207	C₈	—	2	2	no	—
1208	C₈	—	2	2	no	—
1209	C₂²	—	2	1	no	—
1210	C₂²	—	2	1	no	—
1211	C₂²	—	2	1	no	—
1212	C₂²	—	2	1	no	—
1213	C₂²	—	2	1	no	—
1214	C₂²	—	2	1	no	—
1215	C₂²	—	2	1	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	1	no	—
1218	C₂²	—	4	2	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	2	no	—
1224	C₂²	—	4	2	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	16	2	no	—
1228	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1229	C₄	—	2	1	no	—
1230	C₄	—	2	1	no	—
1231	C₄	—	2	1	no	—
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	—	4	2	no	—
1241	C₄	—	4	2	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	2	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	4	1	no	—
1249	C₄	C₁₃×#585	1	2	yes	—
1250	C₂	—	4	1	no	—
1251	C₂	—	4	1	no	—
1252	C₂	—	4	1	no	—
1253	C₂	—	8	1	no	—
1254	C₂	—	8	1	no	—
1255	C₂	—	8	2	no	—
1256	C₂	C₁₃×#3449	1	1	yes	characteristic
1257	C₂	C₁₃×#3585	1	1	yes	characteristic
1258	C₂	C₁₃×#3586	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×#3510	C₂	semidirect
3. C₁₃×#3263	C₂	semidirect
4. C₁₃×#3262	C₂	semidirect
5. C₁₃×#3239	C₂	semidirect
6. C₁₃×#3238	C₂	semidirect
7. C₁₃×#3237	C₂	semidirect
8. C₁₃×#3235	C₂	semidirect
9. C₁₃×#3219	C₂	semidirect
10. C₁₃×#3219	C₂	semidirect
11. C₁₃×#3215	C₂	semidirect
12. C₁₃×#3213	C₂	semidirect
13. C₁₃×#3201	C₂	semidirect
14. C₁₃×#3198	C₂	semidirect
15. C₁₃×#3181	C₂	semidirect
16. C₁₃×#3180	C₂	semidirect
17. C₁₃×#3172	C₂	semidirect
18. C₁₃×#3171	C₂	semidirect
19. C₁₃×#3125	C₂	semidirect
20. C₁₃×#3124	C₂	semidirect
21. C₁₃×#3121	C₂	semidirect
22. C₁₃×#3118	C₂	semidirect
23. C₁₃×#2923	C₂	semidirect
45. C₁₃×#542	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
53. C₁₃×#532	C₂²	semidirect
54. C₁₃×#532	C₂²	semidirect
55. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
61. C₁₃×#520	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#501	C₂²	semidirect
67. C₁₃×#501	C₂²	semidirect
68. C₁₃×#501	C₂²	semidirect
73. C₁₃×#491	C₂²	semidirect
74. C₁₃×#491	C₂²	semidirect
75. C₁₃×#490	C₂²	semidirect
76. C₁₃×#490	C₂²	semidirect
83. C₁₃×#484	C₂²	semidirect
84. C₁₃×#483	C₂²	semidirect
89. C₁₃×#477	C₂²	semidirect
90. C₁₃×#477	C₂²	semidirect
92. C₁₃×#476	C₂²	semidirect
93. C₁₃×#475	C₂²	semidirect
94. C₁₃×#475	C₂²	semidirect
96. C₁₃×#474	C₂²	semidirect
97. C₁₃×#470	C₂²	semidirect
100. C₁₃×#468	C₂²	semidirect
101. C₁₃×#467	C₂²	semidirect
104. C₁₃×#465	C₂²	semidirect
107. C₁₃×#464	C₂²	semidirect
108. C₁₃×#464	C₂²	semidirect
113. C₁₃×#452	C₂²	semidirect
114. C₁₃×#452	C₂²	semidirect
122. C₁₃×#441	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×Q₁₆	C₂²	semidirect
127. C₄×C₁₃×SD₁₆	C₂²	semidirect
130. C₁₃×#433	C₂²	semidirect
133. C₁₃×#432	C₂²	semidirect
134. C₁₃×#432	C₂²	semidirect
135. C₁₃×#424	C₂²	semidirect
137. C₄×C₁₃×M₁₆	C₂²	semidirect
138. C₂×C₁₃×#97	C₂²	semidirect
342. #61016	C₁₃	direct (N × H)
500. #3511	C₂×C₁₃	semidirect
501. #3510	C₂×C₁₃	semidirect
502. #3263	C₂×C₁₃	semidirect
503. #3262	C₂×C₁₃	semidirect
504. #3239	C₂×C₁₃	semidirect
505. #3238	C₂×C₁₃	semidirect
506. #3237	C₂×C₁₃	semidirect
507. #3235	C₂×C₁₃	semidirect
508. #3219	C₂×C₁₃	semidirect
509. #3219	C₂×C₁₃	semidirect
510. #3215	C₂×C₁₃	semidirect
511. #3213	C₂×C₁₃	semidirect
512. #3201	C₂×C₁₃	semidirect
513. #3198	C₂×C₁₃	semidirect
514. #3181	C₂×C₁₃	semidirect
515. #3180	C₂×C₁₃	semidirect
516. #3172	C₂×C₁₃	semidirect
517. #3171	C₂×C₁₃	semidirect
518. #3125	C₂×C₁₃	semidirect
519. #3124	C₂×C₁₃	semidirect
520. #3121	C₂×C₁₃	semidirect
521. #3118	C₂×C₁₃	semidirect
522. #2923	C₂×C₁₃	semidirect
624. #542	C₂²×C₁₃	semidirect
630. #533	C₂²×C₁₃	semidirect
632. #532	C₂²×C₁₃	semidirect
633. #532	C₂²×C₁₃	semidirect
634. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
640. #520	C₂²×C₁₃	semidirect
644. #501	C₂²×C₁₃	semidirect
645. #501	C₂²×C₁₃	semidirect
646. #501	C₂²×C₁₃	semidirect
647. #501	C₂²×C₁₃	semidirect
652. #491	C₂²×C₁₃	semidirect
653. #491	C₂²×C₁₃	semidirect
654. #490	C₂²×C₁₃	semidirect
655. #490	C₂²×C₁₃	semidirect
662. #484	C₂²×C₁₃	semidirect
663. #483	C₂²×C₁₃	semidirect
668. #477	C₂²×C₁₃	semidirect
669. #477	C₂²×C₁₃	semidirect
671. #476	C₂²×C₁₃	semidirect
672. #475	C₂²×C₁₃	semidirect
673. #475	C₂²×C₁₃	semidirect
675. #474	C₂²×C₁₃	semidirect
676. #470	C₂²×C₁₃	semidirect
679. #468	C₂²×C₁₃	semidirect
680. #467	C₂²×C₁₃	semidirect
683. #465	C₂²×C₁₃	semidirect
686. #464	C₂²×C₁₃	semidirect
687. #464	C₂²×C₁₃	semidirect
692. #452	C₂²×C₁₃	semidirect
693. #452	C₂²×C₁₃	semidirect
701. #441	C₂²×C₁₃	semidirect
703. #440	C₂²×C₁₃	semidirect
704. C₄×Q₁₆	C₂²×C₁₃	semidirect
706. C₄×SD₁₆	C₂²×C₁₃	semidirect
709. #433	C₂²×C₁₃	semidirect
712. #432	C₂²×C₁₃	semidirect
713. #432	C₂²×C₁₃	semidirect
714. #424	C₂²×C₁₃	semidirect
716. C₄×M₁₆	C₂²×C₁₃	semidirect
717. C₂×#97	C₂²×C₁₃	semidirect
1128. C₁₃	#61016	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×#3510	2
C₁₃×#3263	2
C₁₃×#3262	2
C₁₃×#3239	2
C₁₃×#3238	2
C₁₃×#3237	2
C₁₃×#3235	2
C₁₃×#3219	2
C₁₃×#3215	2
C₁₃×#3213	2
C₁₃×#3201	2
C₁₃×#3198	2
C₁₃×#3181	2
C₁₃×#3180	2
C₁₃×#3172	2
C₁₃×#3171	2
C₁₃×#3125	2
C₁₃×#3124	2
C₁₃×#3121	2
C₁₃×#3118	2
C₁₃×#2923	2
#61016	13

Subgroups — C13×#61016 #15747355

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61016 #15747355