Subgroups — C₁₃×#62584 #15748923

Order 3328.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3321	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3320	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3239	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3140	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	C₂²	1	1	yes	characteristic
25	C₁₃×#556	—	2	1	no	—
26	C₁₃×#556	C₂²	1	1	yes	characteristic
27	C₁₃×#555	—	2	1	no	—
28	C₁₃×#555	C₂²	1	2	yes	complemented
29	C₁₃×#554	C₂²	1	2	yes	complemented
30	C₁₃×#553	C₂²	1	2	yes	—
31	C₁₃×#553	C₂²	1	2	yes	complemented
32	C₁₃×#551	—	2	1	no	—
33	C₁₃×#551	—	2	1	no	—
34	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#548	—	2	1	no	—
36	C₁₃×#548	—	2	1	no	—
37	C₁₃×#548	C₂²	1	1	yes	characteristic
38	C₁₃×#548	C₂²	1	1	yes	characteristic
39	C₁₃×#547	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#542	—	2	1	no	—
47	C₁₃×#538	—	2	1	no	—
48	C₁₃×#538	—	2	1	no	—
49	C₁₃×#537	—	2	1	no	—
50	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
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	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
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	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
62	C₁₃×#520	—	2	1	no	—
63	C₁₃×#518	—	2	1	no	—
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×#496	C₂²	1	1	yes	characteristic
69	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#491	C₂²	1	2	yes	complemented
72	C₁₃×#490	C₂²	1	2	yes	—
73	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#489	C₂²	1	2	yes	—
75	C₁₃×#489	C₂²	1	1	yes	characteristic
76	C₁₃×#489	C₂²	1	1	yes	characteristic
77	C₁₃×#489	C₂²	1	1	yes	characteristic
78	C₁₃×#489	C₂²	1	2	yes	complemented
79	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#488	C₂²	1	2	yes	—
86	C₁₃×#488	C₂²	1	2	yes	complemented
87	C₁₃×#485	C₂²	1	2	yes	complemented
88	C₁₃×#485	C₂²	1	2	yes	complemented
89	C₁₃×#484	C₂²	1	2	yes	complemented
90	C₁₃×#482	C₂²	1	2	yes	—
91	C₁₃×#482	C₂²	1	2	yes	—
92	C₁₃×#481	C₂²	1	2	yes	—
93	C₁₃×#479	C₂²	1	2	yes	complemented
94	C₁₃×#479	C₂²	1	2	yes	complemented
95	C₁₃×#478	C₂²	1	2	yes	—
96	C₁₃×#478	C₂²	1	2	yes	complemented
97	C₁₃×#475	C₂²	1	2	yes	complemented
98	C₁₃×#474	C₂²	1	2	yes	complemented
99	C₁₃×#469	C₂²	1	2	yes	—
100	C₁₃×#468	C₂²	1	2	yes	complemented
101	C₁₃×#466	C₂²	1	2	yes	—
102	C₁₃×#466	C₂²	1	2	yes	—
103	C₁₃×#465	C₂²	1	2	yes	complemented
104	C₁₃×#465	C₂²	1	2	yes	complemented
105	C₁₃×#463	C₂²	1	2	yes	—
106	C₁₃×#463	C₂²	1	2	yes	—
107	C₁₃×#463	C₂²	1	2	yes	complemented
108	C₁₃×#463	C₂²	1	2	yes	complemented
109	C₁₃×#461	C₂²	1	2	yes	complemented
110	C₁₃×#459	C₂²	1	2	yes	—
111	C₁₃×#449	C₂²	1	2	yes	complemented
112	C₁₃×#449	C₂²	1	2	yes	complemented
113	C₁₃×#448	C₂²	1	2	yes	complemented
114	C₁₃×#448	C₂²	1	2	yes	complemented
115	C₁₃×#447	C₂²	1	2	yes	—
116	C₁₃×#447	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	complemented
118	C₁₃×#442	C₂²	1	2	yes	—
119	C₁₃×#442	C₂²	1	2	yes	complemented
120	C₁₃×#440	C₂²	1	2	yes	complemented
121	C₁₃×#440	C₂²	1	2	yes	complemented
122	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
123	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	—
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
127	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#419	C₂²	1	2	yes	complemented
131	C₁₃×#418	C₂²	1	2	yes	—
132	C₁₃×#416	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#102	C₂²	1	2	yes	—
136	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₁₃×#97	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	—	2	1	no	—
142	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
145	C₂²×Q₈×C₁₃	—	2	1	no	—
146	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃	—	2	1	no	—
149	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	—	2	1	no	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#127	C₂³	1	1	yes	characteristic
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#125	C₂³	1	2	yes	—
178	C₁₃×#125	C₂³	1	2	yes	—
179	C₁₃×#125	C₂³	1	1	yes	characteristic
180	C₁₃×#124	—	2	1	no	—
181	C₁₃×#124	—	2	1	no	—
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	C₂³	1	1	yes	characteristic
193	C₁₃×#124	C₂³	1	1	yes	characteristic
194	C₁₃×#124	C₂³	1	1	yes	characteristic
195	C₁₃×#124	C₂³	1	1	yes	characteristic
196	C₁₃×#124	C₂³	1	1	yes	characteristic
197	C₁₃×#124	C₂³	1	1	yes	characteristic
198	C₁₃×#124	C₂³	1	1	yes	characteristic
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	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	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	2	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	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×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	C₂³	1	2	yes	—
237	C₁₃×#121	C₂³	1	2	yes	—
238	C₁₃×#121	C₂³	1	2	yes	—
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	1	yes	characteristic
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₁₃×#120	—	2	1	no	—
243	C₁₃×#120	—	2	1	no	—
244	C₁₃×#120	—	2	1	no	—
245	C₁₃×#120	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	—	2	1	no	—
248	C₄×Q₈×C₁₃	—	2	1	no	—
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	2	yes	—
274	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
287	C₁₃×#117	D₄	1	1	yes	characteristic
288	C₁₃×#117	D₄	1	1	yes	characteristic
289	C₁₃×#117	C₂³	1	2	yes	—
290	C₁₃×#117	C₂³	1	2	yes	—
291	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
292	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
294	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₁₃×#107	C₂³	1	2	yes	—
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#106	C₂³	1	2	yes	—
307	C₁₃×#106	C₂³	1	2	yes	—
308	C₁₃×#106	C₂³	1	2	yes	—
309	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
312	C₁₃×#103	C₂³	1	2	yes	—
313	C₁₃×#103	C₂³	1	2	yes	—
314	C₁₃×#103	C₂³	1	2	yes	—
315	C₁₃×#103	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×#102	C₂³	1	2	yes	—
322	C₁₃×#102	C₂³	1	2	yes	—
323	C₁₃×#102	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×#97	C₂³	1	1	yes	characteristic
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	2	yes	—
340	C₁₃×#97	C₂³	1	1	yes	characteristic
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#62584	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₁₃×#41	—	4	2	no	—
346	C₁₃×#41	—	4	4	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	2	no	—
358	C₂×Q₈×C₁₃	—	4	2	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	1	yes	characteristic
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	1	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	2	no	—
371	C₂×D₄×C₁₃	—	2	2	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	—	2	1	no	—
374	C₂×D₄×C₁₃	—	2	1	no	—
375	C₂×D₄×C₁₃	—	2	1	no	—
376	C₂×D₄×C₁₃	—	2	1	no	—
377	C₂×D₄×C₁₃	—	2	1	no	—
378	C₂×D₄×C₁₃	—	4	2	no	—
379	C₂×D₄×C₁₃	—	4	2	no	—
380	C₂×D₄×C₁₃	—	4	4	no	—
381	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
382	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
383	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
384	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₁₃	—	2	1	no	—
389	C₂²×C₄×C₁₃	—	2	1	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	2	2	no	—
392	C₂²×C₄×C₁₃	—	2	1	no	—
393	C₂²×C₄×C₁₃	—	2	1	no	—
394	C₂²×C₄×C₁₃	—	2	1	no	—
395	C₂²×C₄×C₁₃	—	2	1	no	—
396	C₂²×C₄×C₁₃	—	2	1	no	—
397	C₂²×C₄×C₁₃	—	2	2	no	—
398	C₂²×C₄×C₁₃	—	2	2	no	—
399	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₁₃×SD₁₆	—	4	2	no	—
409	C₁₃×SD₁₆	—	4	2	no	—
410	C₁₃×SD₁₆	—	4	2	no	—
411	C₁₃×D₈	—	4	2	no	—
412	C₁₃×D₈	—	4	2	no	—
413	C₁₃×D₈	—	4	2	no	—
414	C₁₃×M₁₆	—	4	2	no	—
415	C₂×C₈×C₁₃	—	4	2	no	—
416	C₂×C₈×C₁₃	—	4	2	no	—
417	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
418	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
419	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
420	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
421	C₁₃×C₄⋊C₄	—	2	2	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	2	no	—
426	C₁₃×C₄⋊C₄	—	2	2	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	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	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	C₂⁴	1	2	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	1	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	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	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	2	no	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	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	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	2	2	no	—
481	C₁₃×C₂²⋊C₄	—	2	2	no	—
482	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
486	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
487	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	1	no	—
490	C₄²×C₁₃	—	2	2	no	—
491	C₄²×C₁₃	—	2	2	no	—
492	C₄²×C₁₃	—	2	1	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	#3514	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3376	C₂×C₁₃	1	2	yes	complemented
506	#3370	C₂×C₁₃	1	2	yes	complemented
507	#3321	C₂×C₁₃	1	2	yes	complemented
508	#3320	C₂×C₁₃	1	2	yes	complemented
509	#3319	C₂×C₁₃	1	2	yes	complemented
510	#3318	C₂×C₁₃	1	2	yes	complemented
511	#3301	C₂×C₁₃	1	2	yes	complemented
512	#3297	C₂×C₁₃	1	2	yes	complemented
513	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3239	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3214	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3180	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3180	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3140	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#3135	C₂×C₁₃	1	1	yes	characteristic, complemented
524	C₂×#489	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2970	C₂×C₁₃	1	1	yes	characteristic, complemented
526	C₂³×C₁₃	—	2	1	no	—
527	C₂³×C₁₃	—	2	2	no	—
528	C₂³×C₁₃	—	2	1	no	—
529	C₂³×C₁₃	—	2	1	no	—
530	C₂³×C₁₃	—	4	2	no	—
531	C₂³×C₁₃	—	4	2	no	—
532	C₂³×C₁₃	—	8	1	no	—
533	C₂³×C₁₃	—	8	1	no	—
534	C₂³×C₁₃	—	8	1	no	—
535	C₂³×C₁₃	—	8	1	no	—
536	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	Q₈×C₁₃	—	2	2	no	—
540	Q₈×C₁₃	—	2	2	no	—
541	Q₈×C₁₃	—	2	2	no	—
542	Q₈×C₁₃	—	4	1	no	—
543	Q₈×C₁₃	—	4	2	no	—
544	Q₈×C₁₃	—	4	2	no	—
545	Q₈×C₁₃	—	4	2	no	—
546	Q₈×C₁₃	—	8	1	no	—
547	Q₈×C₁₃	—	8	1	no	—
548	Q₈×C₁₃	—	8	2	no	—
549	D₄×C₁₃	—	2	2	no	—
550	D₄×C₁₃	—	2	2	no	—
551	D₄×C₁₃	—	2	2	no	—
552	D₄×C₁₃	—	2	2	no	—
553	D₄×C₁₃	—	2	2	no	—
554	D₄×C₁₃	—	2	2	no	—
555	D₄×C₁₃	—	2	2	no	—
556	D₄×C₁₃	—	4	1	no	—
557	D₄×C₁₃	—	4	2	no	—
558	D₄×C₁₃	—	4	2	no	—
559	D₄×C₁₃	—	4	2	no	—
560	D₄×C₁₃	—	4	2	no	—
561	D₄×C₁₃	—	4	2	no	—
562	D₄×C₁₃	—	4	4	no	—
563	D₄×C₁₃	—	8	1	no	—
564	D₄×C₁₃	—	8	1	no	—
565	D₄×C₁₃	—	8	1	no	—
566	D₄×C₁₃	—	8	1	no	—
567	D₄×C₁₃	—	8	1	no	—
568	D₄×C₁₃	—	8	1	no	—
569	D₄×C₁₃	—	8	2	no	—
570	D₄×C₁₃	—	8	2	no	—
571	C₂×C₄×C₁₃	—	2	2	no	—
572	C₂×C₄×C₁₃	—	2	2	no	—
573	C₂×C₄×C₁₃	—	2	2	no	—
574	C₂×C₄×C₁₃	—	2	2	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	2	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	4	1	no	—
584	C₂×C₄×C₁₃	—	4	1	no	—
585	C₂×C₄×C₁₃	—	4	1	no	—
586	C₂×C₄×C₁₃	—	4	1	no	—
587	C₂×C₄×C₁₃	—	4	1	no	—
588	C₂×C₄×C₁₃	—	4	2	no	—
589	C₂×C₄×C₁₃	—	4	4	no	—
590	C₂×C₄×C₁₃	—	8	1	no	—
591	C₂×C₄×C₁₃	—	8	1	no	—
592	C₂×C₄×C₁₃	—	8	1	no	—
593	C₂×C₄×C₁₃	—	8	1	no	—
594	C₂×C₄×C₁₃	—	8	2	no	—
595	C₂×C₄×C₁₃	—	8	2	no	—
596	C₂×C₄×C₁₃	—	8	1	no	—
597	C₂×C₄×C₁₃	—	8	1	no	—
598	C₂×C₄×C₁₃	—	8	2	no	—
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	C₂²×D₄	1	1	yes	characteristic
604	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
605	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
606	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
607	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
608	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
609	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
610	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
611	C₈×C₁₃	—	2	2	no	—
612	C₈×C₁₃	—	2	2	no	—
613	C₈×C₁₃	—	2	2	no	—
614	C₈×C₁₃	—	2	2	no	—
615	#559	C₂²×C₁₃	1	1	yes	characteristic
616	#556	—	2	1	no	—
617	#556	C₂²×C₁₃	1	1	yes	characteristic
618	#555	—	2	1	no	—
619	#555	C₂²×C₁₃	1	2	yes	complemented
620	#554	C₂²×C₁₃	1	2	yes	complemented
621	#553	C₂²×C₁₃	1	2	yes	—
622	#553	C₂²×C₁₃	1	2	yes	complemented
623	#551	—	2	1	no	—
624	#551	—	2	1	no	—
625	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
626	#548	—	2	1	no	—
627	#548	—	2	1	no	—
628	#548	C₂²×C₁₃	1	1	yes	characteristic
629	#548	C₂²×C₁₃	1	1	yes	characteristic
630	#547	—	2	1	no	—
631	#546	—	2	1	no	—
632	#546	C₂²×C₁₃	1	1	yes	characteristic
633	#546	C₂²×C₁₃	1	1	yes	characteristic
634	D₄²	C₂²×C₁₃	1	1	yes	characteristic
635	#542	—	2	1	no	—
636	#542	—	2	1	no	—
637	#542	—	2	1	no	—
638	#538	—	2	1	no	—
639	#538	—	2	1	no	—
640	#537	—	2	1	no	—
641	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#532	C₂²×C₁₃	1	1	yes	characteristic
644	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#529	C₂²×C₁₃	1	1	yes	characteristic
649	#529	C₂²×C₁₃	1	1	yes	characteristic
650	#529	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
653	#520	—	2	1	no	—
654	#518	—	2	1	no	—
655	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
656	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	#496	C₂²×C₁₃	1	1	yes	characteristic
660	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#491	C₂²×C₁₃	1	2	yes	complemented
663	#490	C₂²×C₁₃	1	2	yes	—
664	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	#489	C₂²×C₁₃	1	2	yes	—
666	#489	C₂²×C₁₃	1	1	yes	characteristic
667	#489	C₂²×C₁₃	1	1	yes	characteristic
668	#489	C₂²×C₁₃	1	1	yes	characteristic
669	#489	C₂²×C₁₃	1	2	yes	complemented
670	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
673	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
674	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	#488	C₂²×C₁₃	1	2	yes	—
677	#488	C₂²×C₁₃	1	2	yes	complemented
678	#485	C₂²×C₁₃	1	2	yes	complemented
679	#485	C₂²×C₁₃	1	2	yes	complemented
680	#484	C₂²×C₁₃	1	2	yes	complemented
681	#482	C₂²×C₁₃	1	2	yes	—
682	#482	C₂²×C₁₃	1	2	yes	—
683	#481	C₂²×C₁₃	1	2	yes	—
684	#479	C₂²×C₁₃	1	2	yes	complemented
685	#479	C₂²×C₁₃	1	2	yes	complemented
686	#478	C₂²×C₁₃	1	2	yes	—
687	#478	C₂²×C₁₃	1	2	yes	complemented
688	#475	C₂²×C₁₃	1	2	yes	complemented
689	#474	C₂²×C₁₃	1	2	yes	complemented
690	#469	C₂²×C₁₃	1	2	yes	—
691	#468	C₂²×C₁₃	1	2	yes	complemented
692	#466	C₂²×C₁₃	1	2	yes	—
693	#466	C₂²×C₁₃	1	2	yes	—
694	#465	C₂²×C₁₃	1	2	yes	complemented
695	#465	C₂²×C₁₃	1	2	yes	complemented
696	#463	C₂²×C₁₃	1	2	yes	—
697	#463	C₂²×C₁₃	1	2	yes	—
698	#463	C₂²×C₁₃	1	2	yes	complemented
699	#463	C₂²×C₁₃	1	2	yes	complemented
700	#461	C₂²×C₁₃	1	2	yes	complemented
701	#459	C₂²×C₁₃	1	2	yes	—
702	#449	C₂²×C₁₃	1	2	yes	complemented
703	#449	C₂²×C₁₃	1	2	yes	complemented
704	#448	C₂²×C₁₃	1	2	yes	complemented
705	#448	C₂²×C₁₃	1	2	yes	complemented
706	#447	C₂²×C₁₃	1	2	yes	—
707	#447	C₂²×C₁₃	1	2	yes	—
708	#446	C₂²×C₁₃	1	2	yes	complemented
709	#442	C₂²×C₁₃	1	2	yes	—
710	#442	C₂²×C₁₃	1	2	yes	complemented
711	#440	C₂²×C₁₃	1	2	yes	complemented
712	#440	C₂²×C₁₃	1	2	yes	complemented
713	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
714	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
715	#435	C₂²×C₁₃	1	2	yes	—
716	#435	C₂²×C₁₃	1	2	yes	complemented
717	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
718	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
720	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	#419	C₂²×C₁₃	1	2	yes	complemented
722	#418	C₂²×C₁₃	1	2	yes	—
723	#416	C₂²×C₁₃	1	2	yes	complemented
724	#416	C₂²×C₁₃	1	2	yes	complemented
725	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
726	C₂×#102	C₂²×C₁₃	1	2	yes	—
727	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
729	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
730	C₂²×C₁₃	—	2	1	no	—
731	C₂²×C₁₃	—	2	1	no	—
732	C₂²×C₁₃	—	2	1	no	—
733	C₂²×C₁₃	—	2	1	no	—
734	C₂²×C₁₃	—	2	1	no	—
735	C₂²×C₁₃	—	2	1	no	—
736	C₂²×C₁₃	—	2	1	no	—
737	C₂²×C₁₃	—	2	1	no	—
738	C₂²×C₁₃	—	4	2	no	—
739	C₂²×C₁₃	—	4	1	no	—
740	C₂²×C₁₃	—	4	1	no	—
741	C₂²×C₁₃	—	4	1	no	—
742	C₂²×C₁₃	—	4	1	no	—
743	C₂²×C₁₃	—	4	1	no	—
744	C₂²×C₁₃	—	4	1	no	—
745	C₂²×C₁₃	—	4	2	no	—
746	C₂²×C₁₃	—	4	2	no	—
747	C₂²×C₁₃	—	4	1	no	—
748	C₂²×C₁₃	—	4	1	no	—
749	C₂²×C₁₃	—	4	1	no	—
750	C₂²×C₁₃	—	16	2	no	—
751	C₂²×C₁₃	—	16	2	no	—
752	C₂²×C₁₃	#575	1	2	yes	—
753	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
754	C₄×C₁₃	—	2	1	no	—
755	C₄×C₁₃	—	2	1	no	—
756	C₄×C₁₃	—	2	1	no	—
757	C₄×C₁₃	—	2	1	no	—
758	C₄×C₁₃	—	2	1	no	—
759	C₄×C₁₃	—	2	1	no	—
760	C₄×C₁₃	—	2	1	no	—
761	C₄×C₁₃	—	2	1	no	—
762	C₄×C₁₃	—	2	1	no	—
763	C₄×C₁₃	—	2	1	no	—
764	C₄×C₁₃	—	2	1	no	—
765	C₄×C₁₃	—	4	1	no	—
766	C₄×C₁₃	—	4	2	no	—
767	C₄×C₁₃	—	4	2	no	—
768	C₄×C₁₃	—	4	1	no	—
769	C₄×C₁₃	—	4	1	no	—
770	C₄×C₁₃	—	4	1	no	—
771	C₄×C₁₃	—	4	1	no	—
772	C₄×C₁₃	—	4	2	no	—
773	C₄×C₁₃	#585	1	2	yes	—
774	C₂×#41	—	2	1	no	—
775	C₂×#41	—	2	1	no	—
776	C₂×#41	—	2	1	no	—
777	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
778	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
779	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
780	C₂²×Q₈	—	2	1	no	—
781	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
783	C₂²×D₄	—	2	1	no	—
784	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
785	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
786	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
787	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
788	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
789	C₂×D₈	C₂³×C₁₃	1	2	yes	—
790	C₂×D₈	C₂³×C₁₃	1	2	yes	—
791	C₂×D₈	C₂³×C₁₃	1	2	yes	—
792	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
793	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
794	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
795	C₄⋊Q₈	—	2	1	no	—
796	C₄⋊Q₈	—	2	1	no	—
797	C₄⋊Q₈	—	2	1	no	—
798	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
799	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
800	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
801	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
802	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
803	#127	C₂³×C₁₃	1	1	yes	characteristic
804	#127	C₂³×C₁₃	1	1	yes	characteristic
805	#126	—	2	1	no	—
806	#126	—	2	1	no	—
807	#126	—	2	2	no	—
808	#126	—	2	2	no	—
809	#126	—	2	1	no	—
810	#126	—	2	1	no	—
811	#126	—	2	1	no	—
812	#125	C₂³×C₁₃	1	1	yes	characteristic
813	#125	C₂³×C₁₃	1	2	yes	—
814	#125	C₂³×C₁₃	1	2	yes	—
815	#124	—	2	1	no	—
816	#124	—	2	1	no	—
817	#124	—	2	1	no	—
818	#124	—	2	2	no	—
819	#124	—	2	2	no	—
820	#124	—	2	1	no	—
821	#124	—	2	1	no	—
822	#124	—	2	1	no	—
823	#124	—	2	1	no	—
824	#124	—	2	1	no	—
825	#124	—	2	1	no	—
826	#124	—	2	1	no	—
827	#124	C₂³×C₁₃	1	1	yes	characteristic
828	#124	C₂³×C₁₃	1	1	yes	characteristic
829	#124	C₂³×C₁₃	1	1	yes	characteristic
830	#124	C₂³×C₁₃	1	1	yes	characteristic
831	#124	C₂³×C₁₃	1	1	yes	characteristic
832	#124	C₂³×C₁₃	1	1	yes	characteristic
833	#124	C₂³×C₁₃	1	1	yes	characteristic
834	#123	—	2	1	no	—
835	#123	—	2	1	no	—
836	#123	—	2	1	no	—
837	#123	—	2	1	no	—
838	#123	—	2	1	no	—
839	#123	—	2	1	no	—
840	#123	—	2	1	no	—
841	#123	—	2	2	no	—
842	#123	—	2	2	no	—
843	C₂²⋊Q₈	—	2	2	no	—
844	C₂²⋊Q₈	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	2	1	no	—
848	C₂²⋊Q₈	—	2	1	no	—
849	C₂²⋊Q₈	—	2	2	no	—
850	C₂²⋊Q₈	—	2	2	no	—
851	C₂²⋊Q₈	—	2	1	no	—
852	C₂²⋊Q₈	—	2	1	no	—
853	C₂²⋊Q₈	—	2	1	no	—
854	C₂²⋊Q₈	—	2	1	no	—
855	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
856	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#121	—	2	1	no	—
870	#121	—	2	1	no	—
871	#121	C₂³×C₁₃	1	1	yes	characteristic
872	#121	C₂³×C₁₃	1	1	yes	characteristic
873	#121	C₂³×C₁₃	1	1	yes	characteristic
874	#121	C₂³×C₁₃	1	2	yes	—
875	#121	C₂³×C₁₃	1	2	yes	—
876	#121	C₂³×C₁₃	1	2	yes	—
877	#120	—	2	1	no	—
878	#120	—	2	1	no	—
879	#120	—	2	1	no	—
880	#120	—	2	1	no	—
881	C₄×Q₈	—	2	1	no	—
882	C₄×Q₈	—	2	1	no	—
883	C₄×Q₈	—	2	1	no	—
884	C₄×Q₈	—	2	1	no	—
885	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
886	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
887	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
888	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
889	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
890	C₄×D₄	—	2	1	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	—	2	1	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	2	no	—
898	C₄×D₄	—	2	2	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	1	no	—
902	C₄×D₄	—	2	1	no	—
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
905	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
906	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
907	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
908	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₄×D₄	C₂³×C₁₃	1	2	yes	—
911	C₄×D₄	C₂³×C₁₃	1	2	yes	—
912	C₄×D₄	C₂³×C₁₃	1	2	yes	—
913	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
914	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
915	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
916	#117	—	2	1	no	—
917	#117	—	2	2	no	—
918	#117	—	2	1	no	—
919	#117	—	2	1	no	—
920	#117	—	2	1	no	—
921	#117	D₄×C₁₃	1	1	yes	characteristic
922	#117	D₄×C₁₃	1	1	yes	characteristic
923	#117	D₄×C₁₃	1	1	yes	characteristic
924	#117	C₂³×C₁₃	1	2	yes	—
925	#117	C₂³×C₁₃	1	2	yes	—
926	C₂×C₄⋊C₄	—	2	1	no	—
927	C₂×C₄⋊C₄	—	2	2	no	—
928	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
929	C₂×C₂²⋊C₄	—	2	1	no	—
930	C₂×C₂²⋊C₄	—	2	1	no	—
931	C₂×C₂²⋊C₄	—	2	1	no	—
932	C₂×C₂²⋊C₄	—	2	1	no	—
933	C₂×C₂²⋊C₄	—	2	1	no	—
934	C₂×C₂²⋊C₄	—	2	1	no	—
935	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
936	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
938	#107	C₂³×C₁₃	1	2	yes	—
939	#107	C₂³×C₁₃	1	2	yes	—
940	#107	C₂³×C₁₃	1	2	yes	—
941	#106	C₂³×C₁₃	1	2	yes	—
942	#106	C₂³×C₁₃	1	2	yes	—
943	#106	C₂³×C₁₃	1	2	yes	—
944	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
945	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
946	C₄⋊C₈	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	#103	C₂³×C₁₃	1	2	yes	—
952	#103	C₂³×C₁₃	1	2	yes	—
953	#103	C₂³×C₁₃	1	2	yes	—
954	#103	C₂³×C₁₃	1	2	yes	—
955	#103	C₂³×C₁₃	1	2	yes	—
956	#102	C₂³×C₁₃	1	2	yes	—
957	#102	C₂³×C₁₃	1	2	yes	—
958	#102	C₂³×C₁₃	1	2	yes	—
959	#102	C₂³×C₁₃	1	2	yes	—
960	#102	C₂³×C₁₃	1	2	yes	—
961	#102	C₂³×C₁₃	1	2	yes	—
962	#102	C₂³×C₁₃	1	2	yes	—
963	#102	C₂³×C₁₃	1	2	yes	—
964	#102	C₂³×C₁₃	1	2	yes	—
965	#102	C₂³×C₁₃	1	2	yes	—
966	#102	C₂³×C₁₃	1	2	yes	—
967	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
968	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
969	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
970	#97	C₂³×C₁₃	1	1	yes	characteristic
971	#97	C₂³×C₁₃	1	1	yes	characteristic
972	#97	C₂³×C₁₃	1	1	yes	characteristic
973	#97	C₂³×C₁₃	1	2	yes	—
974	#97	C₂³×C₁₃	1	2	yes	—
975	#97	C₂³×C₁₃	1	1	yes	characteristic
976	C₄×C₈	C₂³×C₁₃	1	2	yes	—
977	C₂×C₁₃	—	2	2	no	—
978	C₂×C₁₃	—	4	1	no	—
979	C₂×C₁₃	—	4	1	no	—
980	C₂×C₁₃	—	8	2	no	—
981	C₂×C₁₃	—	8	1	no	—
982	C₂×C₁₃	—	8	1	no	—
983	C₂×C₁₃	—	8	1	no	—
984	C₂×C₁₃	#3500	1	1	yes	characteristic
985	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
986	C₂×C₁₃	#3585	1	1	yes	characteristic
987	C₂⁴	—	2	1	no	—
988	C₂⁴	—	2	1	no	—
989	#41	—	4	2	no	—
990	#41	—	4	4	no	—
991	#41	—	4	2	no	—
992	#41	—	4	2	no	—
993	#41	—	8	2	no	—
994	#41	—	8	2	no	—
995	C₂×Q₈	—	2	1	no	—
996	C₂×Q₈	—	2	1	no	—
997	C₂×Q₈	—	2	1	no	—
998	C₂×Q₈	—	2	1	no	—
999	C₂×Q₈	—	2	1	no	—
1000	C₂×Q₈	—	2	2	no	—
1001	C₂×Q₈	—	4	2	no	—
1002	C₂×Q₈	—	4	2	no	—
1003	C₂×Q₈	—	8	2	no	—
1004	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1005	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1006	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1007	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1008	C₂×D₄	—	2	1	no	—
1009	C₂×D₄	—	2	1	no	—
1010	C₂×D₄	—	2	2	no	—
1011	C₂×D₄	—	2	1	no	—
1012	C₂×D₄	—	2	1	no	—
1013	C₂×D₄	—	2	1	no	—
1014	C₂×D₄	—	2	2	no	—
1015	C₂×D₄	—	2	2	no	—
1016	C₂×D₄	—	2	1	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	1	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	2	1	no	—
1022	C₂×D₄	—	4	2	no	—
1023	C₂×D₄	—	4	2	no	—
1024	C₂×D₄	—	4	4	no	—
1025	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1026	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1027	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1028	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1029	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	1	no	—
1037	C₂²×C₄	—	2	1	no	—
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	2	1	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1052	SD₁₆	—	4	2	no	—
1053	SD₁₆	—	4	2	no	—
1054	SD₁₆	—	4	2	no	—
1055	D₈	—	4	2	no	—
1056	D₈	—	4	2	no	—
1057	D₈	—	4	2	no	—
1058	M₁₆	—	4	2	no	—
1059	C₂×C₈	—	4	2	no	—
1060	C₂×C₈	—	4	2	no	—
1061	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1062	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1063	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1064	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	1	no	—
1067	C₄⋊C₄	—	2	1	no	—
1068	C₄⋊C₄	—	2	2	no	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	1	no	—
1074	C₄⋊C₄	—	2	1	no	—
1075	C₄⋊C₄	—	2	1	no	—
1076	C₄⋊C₄	—	2	1	no	—
1077	C₄⋊C₄	—	2	1	no	—
1078	C₄⋊C₄	—	2	1	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	1	no	—
1084	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1086	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1087	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1088	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1089	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1090	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1091	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1092	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1093	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1094	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1095	C₂²⋊C₄	—	2	1	no	—
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	2	no	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	1	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	1	no	—
1109	C₂²⋊C₄	—	2	1	no	—
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	1	no	—
1114	C₂²⋊C₄	—	2	1	no	—
1115	C₂²⋊C₄	—	2	2	no	—
1116	C₂²⋊C₄	—	2	2	no	—
1117	C₂²⋊C₄	—	2	1	no	—
1118	C₂²⋊C₄	—	2	1	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	2	no	—
1126	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1127	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1128	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1129	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1130	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1131	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1132	C₄²	—	2	1	no	—
1133	C₄²	—	2	1	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	2	no	—
1136	C₄²	—	2	1	no	—
1137	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1138	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1139	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1140	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1141	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1142	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1143	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1144	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1145	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1146	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1147	C₁₃	#62584	1	1	yes	characteristic, direct product factor, Sylow
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	4	2	no	—
1153	C₂³	—	4	2	no	—
1154	C₂³	—	8	1	no	—
1155	C₂³	—	8	1	no	—
1156	C₂³	—	8	1	no	—
1157	C₂³	—	8	1	no	—
1158	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1159	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1160	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1161	Q₈	—	2	2	no	—
1162	Q₈	—	2	2	no	—
1163	Q₈	—	2	2	no	—
1164	Q₈	—	4	1	no	—
1165	Q₈	—	4	2	no	—
1166	Q₈	—	4	2	no	—
1167	Q₈	—	4	2	no	—
1168	Q₈	—	8	1	no	—
1169	Q₈	—	8	1	no	—
1170	Q₈	—	8	2	no	—
1171	D₄	—	2	2	no	—
1172	D₄	—	2	2	no	—
1173	D₄	—	2	2	no	—
1174	D₄	—	2	2	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	2	2	no	—
1177	D₄	—	2	2	no	—
1178	D₄	—	4	1	no	—
1179	D₄	—	4	2	no	—
1180	D₄	—	4	2	no	—
1181	D₄	—	4	2	no	—
1182	D₄	—	4	2	no	—
1183	D₄	—	4	2	no	—
1184	D₄	—	4	4	no	—
1185	D₄	—	8	1	no	—
1186	D₄	—	8	1	no	—
1187	D₄	—	8	1	no	—
1188	D₄	—	8	1	no	—
1189	D₄	—	8	1	no	—
1190	D₄	—	8	1	no	—
1191	D₄	—	8	2	no	—
1192	D₄	—	8	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	4	1	no	—
1206	C₂×C₄	—	4	1	no	—
1207	C₂×C₄	—	4	1	no	—
1208	C₂×C₄	—	4	1	no	—
1209	C₂×C₄	—	4	1	no	—
1210	C₂×C₄	—	4	2	no	—
1211	C₂×C₄	—	4	4	no	—
1212	C₂×C₄	—	8	1	no	—
1213	C₂×C₄	—	8	1	no	—
1214	C₂×C₄	—	8	1	no	—
1215	C₂×C₄	—	8	1	no	—
1216	C₂×C₄	—	8	2	no	—
1217	C₂×C₄	—	8	2	no	—
1218	C₂×C₄	—	8	1	no	—
1219	C₂×C₄	—	8	1	no	—
1220	C₂×C₄	—	8	2	no	—
1221	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1222	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1223	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1224	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1225	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1226	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1227	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1228	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1229	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1230	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1231	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1232	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1233	C₈	—	2	2	no	—
1234	C₈	—	2	2	no	—
1235	C₈	—	2	2	no	—
1236	C₈	—	2	2	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	1	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	2	1	no	—
1242	C₂²	—	2	1	no	—
1243	C₂²	—	2	1	no	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	4	2	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	4	1	no	—
1249	C₂²	—	4	2	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	—	4	1	no	—
1255	C₂²	—	4	1	no	—
1256	C₂²	—	4	2	no	—
1257	C₂²	—	16	2	no	—
1258	C₂²	—	16	2	no	—
1259	C₂²	C₁₃×#575	1	2	yes	—
1260	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1261	C₄	—	2	1	no	—
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	2	1	no	—
1265	C₄	—	2	1	no	—
1266	C₄	—	2	1	no	—
1267	C₄	—	2	1	no	—
1268	C₄	—	2	1	no	—
1269	C₄	—	2	1	no	—
1270	C₄	—	2	1	no	—
1271	C₄	—	2	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	2	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	2	no	—
1276	C₄	—	4	2	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	C₁₃×#585	1	2	yes	—
1281	C₂	—	2	2	no	—
1282	C₂	—	4	1	no	—
1283	C₂	—	4	1	no	—
1284	C₂	—	8	1	no	—
1285	C₂	—	8	1	no	—
1286	C₂	—	8	1	no	—
1287	C₂	—	8	2	no	—
1288	C₂	C₁₃×#3500	1	1	yes	characteristic
1289	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1290	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×#3514	C₂	semidirect
2. C₁₃×#3511	C₂	semidirect
3. C₁₃×#3376	C₂	semidirect
4. C₁₃×#3370	C₂	semidirect
5. C₁₃×#3321	C₂	semidirect
6. C₁₃×#3320	C₂	semidirect
7. C₁₃×#3319	C₂	semidirect
8. C₁₃×#3318	C₂	semidirect
9. C₁₃×#3301	C₂	semidirect
10. C₁₃×#3297	C₂	semidirect
11. C₁₃×#3240	C₂	semidirect
12. C₁₃×#3240	C₂	semidirect
13. C₁₃×#3239	C₂	semidirect
14. C₁₃×#3214	C₂	semidirect
15. C₁₃×#3213	C₂	semidirect
16. C₁₃×#3213	C₂	semidirect
17. C₁₃×#3180	C₂	semidirect
18. C₁₃×#3180	C₂	semidirect
19. C₁₃×#3171	C₂	semidirect
20. C₁₃×#3140	C₂	semidirect
21. C₁₃×#3135	C₂	semidirect
22. C₂×C₁₃×#489	C₂	semidirect
23. C₁₃×#2970	C₂	semidirect
28. C₁₃×#555	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
31. C₁₃×#553	C₂²	semidirect
50. C₁₃×#533	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
53. C₁₃×#532	C₂²	semidirect
54. C₁₃×#532	C₂²	semidirect
55. C₁₃×#532	C₂²	semidirect
56. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#501	C₂²	semidirect
67. C₁₃×#501	C₂²	semidirect
69. C₁₃×#496	C₂²	semidirect
70. C₁₃×#496	C₂²	semidirect
71. C₁₃×#491	C₂²	semidirect
73. C₁₃×#490	C₂²	semidirect
78. C₁₃×#489	C₂²	semidirect
79. C₁₃×#489	C₂²	semidirect
80. C₁₃×#489	C₂²	semidirect
81. C₁₃×#489	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#489	C₂²	semidirect
84. C₁₃×#489	C₂²	semidirect
86. C₁₃×#488	C₂²	semidirect
87. C₁₃×#485	C₂²	semidirect
88. C₁₃×#485	C₂²	semidirect
89. C₁₃×#484	C₂²	semidirect
93. C₁₃×#479	C₂²	semidirect
94. C₁₃×#479	C₂²	semidirect
96. C₁₃×#478	C₂²	semidirect
97. C₁₃×#475	C₂²	semidirect
98. C₁₃×#474	C₂²	semidirect
100. C₁₃×#468	C₂²	semidirect
103. C₁₃×#465	C₂²	semidirect
104. C₁₃×#465	C₂²	semidirect
107. C₁₃×#463	C₂²	semidirect
108. C₁₃×#463	C₂²	semidirect
109. C₁₃×#461	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
117. C₁₃×#446	C₂²	semidirect
119. C₁₃×#442	C₂²	semidirect
120. C₁₃×#440	C₂²	semidirect
121. C₁₃×#440	C₂²	semidirect
122. C₄×C₁₃×SD₁₆	C₂²	semidirect
123. C₄×C₁₃×D₈	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
126. C₈×D₄×C₁₃	C₂²	semidirect
127. C₁₃×#432	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#432	C₂²	semidirect
130. C₁₃×#419	C₂²	semidirect
132. C₁₃×#416	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
134. C₂×C₁₃×#103	C₂²	semidirect
136. C₄×C₁₃×M₁₆	C₂²	semidirect
137. C₂×C₁₃×#97	C₂²	semidirect
138. C₂×C₁₃×#97	C₂²	semidirect
342. #62584	C₁₃	direct (N × H)
503. #3514	C₂×C₁₃	semidirect
504. #3511	C₂×C₁₃	semidirect
505. #3376	C₂×C₁₃	semidirect
506. #3370	C₂×C₁₃	semidirect
507. #3321	C₂×C₁₃	semidirect
508. #3320	C₂×C₁₃	semidirect
509. #3319	C₂×C₁₃	semidirect
510. #3318	C₂×C₁₃	semidirect
511. #3301	C₂×C₁₃	semidirect
512. #3297	C₂×C₁₃	semidirect
513. #3240	C₂×C₁₃	semidirect
514. #3240	C₂×C₁₃	semidirect
515. #3239	C₂×C₁₃	semidirect
516. #3214	C₂×C₁₃	semidirect
517. #3213	C₂×C₁₃	semidirect
518. #3213	C₂×C₁₃	semidirect
519. #3180	C₂×C₁₃	semidirect
520. #3180	C₂×C₁₃	semidirect
521. #3171	C₂×C₁₃	semidirect
522. #3140	C₂×C₁₃	semidirect
523. #3135	C₂×C₁₃	semidirect
524. C₂×#489	C₂×C₁₃	semidirect
525. #2970	C₂×C₁₃	semidirect
619. #555	C₂²×C₁₃	semidirect
620. #554	C₂²×C₁₃	semidirect
622. #553	C₂²×C₁₃	semidirect
641. #533	C₂²×C₁₃	semidirect
642. #533	C₂²×C₁₃	semidirect
644. #532	C₂²×C₁₃	semidirect
645. #532	C₂²×C₁₃	semidirect
646. #532	C₂²×C₁₃	semidirect
647. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
656. #501	C₂²×C₁₃	semidirect
657. #501	C₂²×C₁₃	semidirect
658. #501	C₂²×C₁₃	semidirect
660. #496	C₂²×C₁₃	semidirect
661. #496	C₂²×C₁₃	semidirect
662. #491	C₂²×C₁₃	semidirect
664. #490	C₂²×C₁₃	semidirect
669. #489	C₂²×C₁₃	semidirect
670. #489	C₂²×C₁₃	semidirect
671. #489	C₂²×C₁₃	semidirect
672. #489	C₂²×C₁₃	semidirect
673. #489	C₂²×C₁₃	semidirect
674. #489	C₂²×C₁₃	semidirect
675. #489	C₂²×C₁₃	semidirect
677. #488	C₂²×C₁₃	semidirect
678. #485	C₂²×C₁₃	semidirect
679. #485	C₂²×C₁₃	semidirect
680. #484	C₂²×C₁₃	semidirect
684. #479	C₂²×C₁₃	semidirect
685. #479	C₂²×C₁₃	semidirect
687. #478	C₂²×C₁₃	semidirect
688. #475	C₂²×C₁₃	semidirect
689. #474	C₂²×C₁₃	semidirect
691. #468	C₂²×C₁₃	semidirect
694. #465	C₂²×C₁₃	semidirect
695. #465	C₂²×C₁₃	semidirect
698. #463	C₂²×C₁₃	semidirect
699. #463	C₂²×C₁₃	semidirect
700. #461	C₂²×C₁₃	semidirect
702. #449	C₂²×C₁₃	semidirect
703. #449	C₂²×C₁₃	semidirect
704. #448	C₂²×C₁₃	semidirect
705. #448	C₂²×C₁₃	semidirect
708. #446	C₂²×C₁₃	semidirect
710. #442	C₂²×C₁₃	semidirect
711. #440	C₂²×C₁₃	semidirect
712. #440	C₂²×C₁₃	semidirect
713. C₄×SD₁₆	C₂²×C₁₃	semidirect
714. C₄×D₈	C₂²×C₁₃	semidirect
716. #435	C₂²×C₁₃	semidirect
717. C₈×D₄	C₂²×C₁₃	semidirect
718. #432	C₂²×C₁₃	semidirect
719. #432	C₂²×C₁₃	semidirect
720. #432	C₂²×C₁₃	semidirect
721. #419	C₂²×C₁₃	semidirect
723. #416	C₂²×C₁₃	semidirect
724. #416	C₂²×C₁₃	semidirect
725. C₂×#103	C₂²×C₁₃	semidirect
727. C₄×M₁₆	C₂²×C₁₃	semidirect
728. C₂×#97	C₂²×C₁₃	semidirect
729. C₂×#97	C₂²×C₁₃	semidirect
1147. C₁₃	#62584	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×#3514	2
C₁₃×#3511	2
C₁₃×#3376	2
C₁₃×#3370	2
C₁₃×#3321	2
C₁₃×#3320	2
C₁₃×#3319	2
C₁₃×#3318	2
C₁₃×#3301	2
C₁₃×#3297	2
C₁₃×#3240	2
C₁₃×#3239	2
C₁₃×#3214	2
C₁₃×#3213	2
C₁₃×#3180	2
C₁₃×#3171	2
C₁₃×#3140	2
C₁₃×#3135	2
C₂×C₁₃×#489	2
C₁₃×#2970	2
#62584	13

Subgroups — C13×#62584 #15748923

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62584 #15748923