Subgroups — C₁₃×#60994 #15747333

Order 3328.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3237	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3221	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3208	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3200	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3174	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3123	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3115	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×#3103	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	—	2	1	no	—
25	C₁₃×#559	—	2	1	no	—
26	C₁₃×#550	—	2	1	no	—
27	C₁₃×#550	—	2	1	no	—
28	C₁₃×#546	—	2	1	no	—
29	C₁₃×#546	—	2	1	no	—
30	C₁₃×#546	—	2	1	no	—
31	C₁₃×#546	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#542	—	2	1	no	—
34	C₁₃×#542	C₂²	1	1	yes	characteristic
35	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#541	—	2	1	no	—
37	C₁₃×#541	C₂²	1	1	yes	characteristic
38	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#540	C₂²	1	2	yes	—
40	C₁₃×#540	C₂²	1	2	yes	—
41	C₁₃×#539	—	2	1	no	—
42	C₁₃×#539	—	2	1	no	—
43	C₁₃×#537	C₂²	1	1	yes	characteristic
44	C₁₃×#536	C₂²	1	1	yes	characteristic
45	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#535	C₂²	1	2	yes	—
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, complemented
51	C₁₃×#532	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×#127	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, complemented
61	C₁₃×#518	C₂²	1	2	yes	—
62	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#499	C₂²	1	2	yes	complemented
67	C₁₃×#496	C₂²	1	2	yes	—
68	C₁₃×#492	C₂²	1	2	yes	—
69	C₁₃×#491	C₂²	1	2	yes	complemented
70	C₁₃×#490	C₂²	1	2	yes	—
71	C₁₃×#488	C₂²	1	2	yes	complemented
72	C₁₃×#486	C₂²	1	2	yes	—
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#485	C₂²	1	2	yes	—
75	C₁₃×#485	C₂²	1	2	yes	—
76	C₁₃×#482	C₂²	1	2	yes	—
77	C₁₃×#482	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	2	yes	complemented
80	C₁₃×#480	C₂²	1	2	yes	complemented
81	C₁₃×#478	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#476	C₂²	1	2	yes	complemented
88	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#474	C₂²	1	2	yes	complemented
93	C₁₃×#469	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	2	yes	complemented
95	C₁₃×#468	C₂²	1	2	yes	complemented
96	C₁₃×#468	C₂²	1	2	yes	complemented
97	C₁₃×#466	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#465	C₂²	1	2	yes	complemented
101	C₁₃×#463	C₂²	1	2	yes	complemented
102	C₁₃×#463	C₂²	1	2	yes	complemented
103	C₁₃×#461	C₂²	1	2	yes	complemented
104	C₁₃×#461	C₂²	1	2	yes	complemented
105	C₁₃×#460	C₂²	1	1	yes	characteristic
106	C₁₃×#460	C₂²	1	1	yes	characteristic
107	C₁₃×#460	C₂²	1	1	yes	characteristic
108	C₁₃×#460	C₂²	1	1	yes	characteristic
109	C₁₃×#460	C₂²	1	1	yes	characteristic
110	C₁₃×#460	C₂²	1	1	yes	characteristic
111	C₁₃×#459	C₂²	1	1	yes	characteristic
112	C₁₃×#459	C₂²	1	1	yes	characteristic
113	C₁₃×#450	C₂²	1	2	yes	—
114	C₁₃×#450	C₂²	1	2	yes	—
115	C₁₃×#450	C₂²	1	2	yes	—
116	C₁₃×#449	C₂²	1	2	yes	complemented
117	C₁₃×#449	C₂²	1	2	yes	complemented
118	C₁₃×#448	C₂²	1	2	yes	complemented
119	C₁₃×#448	C₂²	1	2	yes	complemented
120	C₁₃×#447	C₂²	1	2	yes	—
121	C₁₃×#442	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₁₃×#440	C₂²	1	2	yes	complemented
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
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, complemented
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#408	C₂²	1	2	yes	—
138	C₁₃×#405	C₂²	1	2	yes	complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	—	2	1	no	—
143	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
145	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃	—	2	1	no	—
147	C₂²×D₄×C₁₃	—	2	1	no	—
148	C₂²×D₄×C₁₃	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×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	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	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
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	1	yes	characteristic
167	C₁₃×#127	—	2	2	no	—
168	C₁₃×#127	—	2	1	no	—
169	C₁₃×#127	—	2	1	no	—
170	C₁₃×#127	C₂³	1	1	yes	characteristic
171	C₁₃×#127	C₂³	1	1	yes	characteristic
172	C₁₃×#127	C₂³	1	2	yes	—
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×#126	—	2	1	no	—
180	C₁₃×#126	—	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	2	yes	—
190	C₁₃×#125	C₂³	1	1	yes	characteristic
191	C₁₃×#124	—	2	2	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	C₂³	1	1	yes	characteristic
200	C₁₃×#124	C₂³	1	1	yes	characteristic
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	2	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	2	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×#123	—	2	1	no	—
210	C₁₃×#123	—	2	1	no	—
211	C₁₃×#123	—	2	1	no	—
212	C₁₃×#123	—	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	1	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	—	2	1	no	—
224	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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×#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	—	2	1	no	—
237	C₁₃×#121	—	2	2	no	—
238	C₁₃×#121	—	2	2	no	—
239	C₁₃×#121	—	2	2	no	—
240	C₁₃×#121	—	2	2	no	—
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₁₃×#121	C₂³	1	2	yes	—
243	C₁₃×#121	C₂³	1	2	yes	—
244	C₁₃×#121	C₂³	1	2	yes	—
245	C₁₃×#121	C₂³	1	2	yes	—
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#120	—	2	2	no	—
248	C₁₃×#120	—	2	2	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	—	2	1	no	—
253	C₄×Q₈×C₁₃	—	2	1	no	—
254	C₄×Q₈×C₁₃	—	2	1	no	—
255	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
256	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
262	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	2	no	—
268	C₄×D₄×C₁₃	—	2	2	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	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	D₄	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	2	yes	—
281	C₄×D₄×C₁₃	C₂³	1	2	yes	—
282	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
283	C₄×D₄×C₁₃	C₂³	1	2	yes	—
284	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	—	2	1	no	—
290	C₁₃×#117	C₂³	1	2	yes	—
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	C₁₃×#117	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
298	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
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×#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	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×#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×#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	#60994	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	2	no	—
344	C₁₃×#41	—	4	1	no	—
345	C₁₃×#41	—	4	1	no	—
346	C₁₃×#41	—	4	1	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	8	2	no	—
349	C₁₃×#41	—	8	2	no	—
350	C₁₃×#41	—	8	2	no	—
351	C₁₃×#41	—	8	2	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	1	no	—
357	C₂×Q₈×C₁₃	—	4	1	no	—
358	C₂×Q₈×C₁₃	—	4	1	no	—
359	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	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	—	2	1	no	—
374	C₂×D₄×C₁₃	—	2	1	no	—
375	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	4	2	no	—
378	C₂×D₄×C₁₃	—	4	2	no	—
379	C₂×D₄×C₁₃	—	8	2	no	—
380	C₂×D₄×C₁₃	—	8	2	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	2	yes	—
386	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
387	C₂²×C₄×C₁₃	—	2	1	no	—
388	C₂²×C₄×C₁₃	—	2	1	no	—
389	C₂²×C₄×C₁₃	—	2	1	no	—
390	C₂²×C₄×C₁₃	—	2	1	no	—
391	C₂²×C₄×C₁₃	—	2	1	no	—
392	C₂²×C₄×C₁₃	—	2	2	no	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	2	2	no	—
395	C₂²×C₄×C₁₃	—	2	2	no	—
396	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₁₃×SD₁₆	—	4	2	no	—
406	C₁₃×SD₁₆	—	4	2	no	—
407	C₁₃×SD₁₆	—	4	2	no	—
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×M₁₆	—	4	2	no	—
414	C₂×C₈×C₁₃	—	4	2	no	—
415	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
416	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
417	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
418	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	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	1	no	—
436	C₁₃×C₄⋊C₄	—	2	1	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	—	2	2	no	—
439	C₁₃×C₄⋊C₄	—	2	2	no	—
440	C₁₃×C₄⋊C₄	—	2	1	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	—	2	1	no	—
444	C₁₃×C₄⋊C₄	—	2	1	no	—
445	C₁₃×C₄⋊C₄	—	2	1	no	—
446	C₁₃×C₄⋊C₄	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	C₂×D₄	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
454	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
455	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
456	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
458	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	2	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	—	2	2	no	—
478	C₁₃×C₂²⋊C₄	—	2	2	no	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
491	C₄²×C₁₃	—	2	1	no	—
492	C₄²×C₁₃	—	2	1	no	—
493	C₄²×C₁₃	—	2	1	no	—
494	C₄²×C₁₃	—	2	1	no	—
495	C₄²×C₁₃	—	2	2	no	—
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	C₂×D₄	1	1	yes	characteristic
500	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
506	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
508	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3246	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3241	C₂×C₁₃	1	2	yes	complemented
513	#3237	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3221	C₂×C₁₃	1	2	yes	complemented
516	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3208	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3200	C₂×C₁₃	1	2	yes	complemented
519	#3198	C₂×C₁₃	1	2	yes	complemented
520	#3179	C₂×C₁₃	1	2	yes	complemented
521	#3174	C₂×C₁₃	1	2	yes	complemented
522	#3123	C₂×C₁₃	1	2	yes	complemented
523	#3118	C₂×C₁₃	1	2	yes	complemented
524	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
527	#3103	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#2925	C₂×C₁₃	1	1	yes	characteristic, complemented
529	C₂³×C₁₃	—	2	1	no	—
530	C₂³×C₁₃	—	2	2	no	—
531	C₂³×C₁₃	—	2	2	no	—
532	C₂³×C₁₃	—	4	4	no	—
533	C₂³×C₁₃	—	8	2	no	—
534	C₂³×C₁₃	—	8	2	no	—
535	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	Q₈×C₁₃	—	2	1	no	—
539	Q₈×C₁₃	—	2	1	no	—
540	Q₈×C₁₃	—	2	1	no	—
541	Q₈×C₁₃	—	2	1	no	—
542	Q₈×C₁₃	—	2	1	no	—
543	Q₈×C₁₃	—	2	1	no	—
544	Q₈×C₁₃	—	4	1	no	—
545	Q₈×C₁₃	—	4	2	no	—
546	Q₈×C₁₃	—	4	2	no	—
547	Q₈×C₁₃	—	4	2	no	—
548	Q₈×C₁₃	—	8	1	no	—
549	Q₈×C₁₃	—	8	1	no	—
550	D₄×C₁₃	—	2	1	no	—
551	D₄×C₁₃	—	2	1	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	1	no	—
558	D₄×C₁₃	—	4	1	no	—
559	D₄×C₁₃	—	4	4	no	—
560	D₄×C₁₃	—	4	2	no	—
561	D₄×C₁₃	—	4	2	no	—
562	D₄×C₁₃	—	4	2	no	—
563	D₄×C₁₃	—	4	2	no	—
564	D₄×C₁₃	—	4	2	no	—
565	D₄×C₁₃	—	8	2	no	—
566	D₄×C₁₃	—	8	2	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	D₄×C₁₃	—	8	2	no	—
572	D₄×C₁₃	—	8	2	no	—
573	C₂×C₄×C₁₃	—	2	2	no	—
574	C₂×C₄×C₁₃	—	2	2	no	—
575	C₂×C₄×C₁₃	—	2	2	no	—
576	C₂×C₄×C₁₃	—	2	1	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	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	2	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	4	1	no	—
592	C₂×C₄×C₁₃	—	4	1	no	—
593	C₂×C₄×C₁₃	—	4	1	no	—
594	C₂×C₄×C₁₃	—	4	2	no	—
595	C₂×C₄×C₁₃	—	4	2	no	—
596	C₂×C₄×C₁₃	—	4	2	no	—
597	C₂×C₄×C₁₃	—	8	1	no	—
598	C₂×C₄×C₁₃	—	8	2	no	—
599	C₂×C₄×C₁₃	—	8	2	no	—
600	C₂×C₄×C₁₃	—	8	2	no	—
601	C₂×C₄×C₁₃	—	8	2	no	—
602	C₂×C₄×C₁₃	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
611	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
612	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
613	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
614	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
615	C₈×C₁₃	—	2	2	no	—
616	C₈×C₁₃	—	2	2	no	—
617	C₈×C₁₃	—	2	2	no	—
618	C₈×C₁₃	—	2	2	no	—
619	#559	—	2	1	no	—
620	#559	—	2	1	no	—
621	#550	—	2	1	no	—
622	#550	—	2	1	no	—
623	#546	—	2	1	no	—
624	#546	—	2	1	no	—
625	#546	—	2	1	no	—
626	#546	—	2	1	no	—
627	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
628	#542	—	2	1	no	—
629	#542	C₂²×C₁₃	1	1	yes	characteristic
630	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#541	—	2	1	no	—
632	#541	C₂²×C₁₃	1	1	yes	characteristic
633	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#540	C₂²×C₁₃	1	2	yes	—
635	#540	C₂²×C₁₃	1	2	yes	—
636	#539	—	2	1	no	—
637	#539	—	2	1	no	—
638	#537	C₂²×C₁₃	1	1	yes	characteristic
639	#536	C₂²×C₁₃	1	1	yes	characteristic
640	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#535	C₂²×C₁₃	1	2	yes	—
642	#533	—	2	1	no	—
643	#533	C₂²×C₁₃	1	1	yes	characteristic
644	#533	C₂²×C₁₃	1	1	yes	characteristic
645	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#532	C₂²×C₁₃	1	1	yes	characteristic
647	#532	C₂²×C₁₃	1	1	yes	characteristic
648	#532	C₂²×C₁₃	1	1	yes	characteristic
649	#532	C₂²×C₁₃	1	1	yes	characteristic
650	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
651	#529	—	2	1	no	—
652	#529	—	2	1	no	—
653	#529	—	2	1	no	—
654	#529	C₂²×C₁₃	1	1	yes	characteristic
655	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#518	C₂²×C₁₃	1	2	yes	—
657	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
658	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#501	C₂²×C₁₃	1	2	yes	complemented
661	#499	C₂²×C₁₃	1	2	yes	complemented
662	#496	C₂²×C₁₃	1	2	yes	—
663	#492	C₂²×C₁₃	1	2	yes	—
664	#491	C₂²×C₁₃	1	2	yes	complemented
665	#490	C₂²×C₁₃	1	2	yes	—
666	#488	C₂²×C₁₃	1	2	yes	complemented
667	#486	C₂²×C₁₃	1	2	yes	—
668	#485	C₂²×C₁₃	1	2	yes	—
669	#485	C₂²×C₁₃	1	2	yes	—
670	#485	C₂²×C₁₃	1	2	yes	—
671	#482	C₂²×C₁₃	1	2	yes	—
672	#482	C₂²×C₁₃	1	2	yes	complemented
673	#482	C₂²×C₁₃	1	2	yes	complemented
674	#481	C₂²×C₁₃	1	2	yes	complemented
675	#480	C₂²×C₁₃	1	2	yes	complemented
676	#478	C₂²×C₁₃	1	2	yes	complemented
677	#478	C₂²×C₁₃	1	2	yes	complemented
678	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	#476	C₂²×C₁₃	1	2	yes	complemented
683	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	#474	C₂²×C₁₃	1	2	yes	complemented
688	#469	C₂²×C₁₃	1	2	yes	complemented
689	#468	C₂²×C₁₃	1	2	yes	complemented
690	#468	C₂²×C₁₃	1	2	yes	complemented
691	#468	C₂²×C₁₃	1	2	yes	complemented
692	#466	C₂²×C₁₃	1	2	yes	complemented
693	#465	C₂²×C₁₃	1	2	yes	complemented
694	#465	C₂²×C₁₃	1	2	yes	complemented
695	#465	C₂²×C₁₃	1	2	yes	complemented
696	#463	C₂²×C₁₃	1	2	yes	complemented
697	#463	C₂²×C₁₃	1	2	yes	complemented
698	#461	C₂²×C₁₃	1	2	yes	complemented
699	#461	C₂²×C₁₃	1	2	yes	complemented
700	#460	C₂²×C₁₃	1	1	yes	characteristic
701	#460	C₂²×C₁₃	1	1	yes	characteristic
702	#460	C₂²×C₁₃	1	1	yes	characteristic
703	#460	C₂²×C₁₃	1	1	yes	characteristic
704	#460	C₂²×C₁₃	1	1	yes	characteristic
705	#460	C₂²×C₁₃	1	1	yes	characteristic
706	#459	C₂²×C₁₃	1	1	yes	characteristic
707	#459	C₂²×C₁₃	1	1	yes	characteristic
708	#450	C₂²×C₁₃	1	2	yes	—
709	#450	C₂²×C₁₃	1	2	yes	—
710	#450	C₂²×C₁₃	1	2	yes	—
711	#449	C₂²×C₁₃	1	2	yes	complemented
712	#449	C₂²×C₁₃	1	2	yes	complemented
713	#448	C₂²×C₁₃	1	2	yes	complemented
714	#448	C₂²×C₁₃	1	2	yes	complemented
715	#447	C₂²×C₁₃	1	2	yes	—
716	#442	C₂²×C₁₃	1	2	yes	complemented
717	#440	C₂²×C₁₃	1	2	yes	complemented
718	#440	C₂²×C₁₃	1	2	yes	complemented
719	#440	C₂²×C₁₃	1	2	yes	complemented
720	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
721	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
722	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
723	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
724	#433	C₂²×C₁₃	1	2	yes	—
725	#433	C₂²×C₁₃	1	2	yes	complemented
726	#432	C₂²×C₁₃	1	1	yes	characteristic
727	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	#431	C₂²×C₁₃	1	1	yes	characteristic
729	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
730	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
731	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
732	#408	C₂²×C₁₃	1	2	yes	—
733	#405	C₂²×C₁₃	1	2	yes	complemented
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	—	2	1	no	—
739	C₂²×C₁₃	—	2	1	no	—
740	C₂²×C₁₃	—	2	1	no	—
741	C₂²×C₁₃	—	2	1	no	—
742	C₂²×C₁₃	—	2	1	no	—
743	C₂²×C₁₃	—	4	2	no	—
744	C₂²×C₁₃	—	4	2	no	—
745	C₂²×C₁₃	—	4	1	no	—
746	C₂²×C₁₃	—	4	1	no	—
747	C₂²×C₁₃	—	4	2	no	—
748	C₂²×C₁₃	—	4	2	no	—
749	C₂²×C₁₃	—	4	1	no	—
750	C₂²×C₁₃	—	4	2	no	—
751	C₂²×C₁₃	—	4	2	no	—
752	C₂²×C₁₃	—	16	4	no	—
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	—	4	2	no	—
765	C₄×C₁₃	—	4	1	no	—
766	C₄×C₁₃	—	4	1	no	—
767	C₄×C₁₃	—	4	1	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	#577	1	2	yes	—
774	C₄×C₁₃	#585	1	1	yes	characteristic
775	C₄×C₁₃	#585	1	1	yes	characteristic
776	C₂×#41	—	2	1	no	—
777	C₂×#41	—	2	1	no	—
778	C₂×#41	—	2	1	no	—
779	C₂×#41	—	2	1	no	—
780	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
781	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
782	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
783	C₂²×D₄	—	2	1	no	—
784	C₂²×D₄	—	2	1	no	—
785	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
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×SD₁₆	C₂³×C₁₃	1	2	yes	—
790	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
791	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
792	C₂×D₈	C₂³×C₁₃	1	2	yes	—
793	C₂×D₈	C₂³×C₁₃	1	2	yes	—
794	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
795	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
802	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
803	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
804	#127	—	2	2	no	—
805	#127	—	2	1	no	—
806	#127	—	2	1	no	—
807	#127	C₂³×C₁₃	1	1	yes	characteristic
808	#127	C₂³×C₁₃	1	1	yes	characteristic
809	#127	C₂³×C₁₃	1	2	yes	—
810	#126	—	2	1	no	—
811	#126	—	2	1	no	—
812	#126	—	2	1	no	—
813	#126	—	2	1	no	—
814	#126	—	2	1	no	—
815	#126	—	2	1	no	—
816	#126	—	2	1	no	—
817	#126	—	2	1	no	—
818	#125	—	2	1	no	—
819	#125	—	2	1	no	—
820	#125	—	2	1	no	—
821	#125	—	2	1	no	—
822	#125	—	2	1	no	—
823	#125	—	2	1	no	—
824	#125	—	2	1	no	—
825	#125	C₂³×C₁₃	1	1	yes	characteristic
826	#125	C₂³×C₁₃	1	1	yes	characteristic
827	#125	C₂³×C₁₃	1	2	yes	—
828	#124	—	2	2	no	—
829	#124	—	2	1	no	—
830	#124	—	2	1	no	—
831	#124	—	2	1	no	—
832	#124	—	2	1	no	—
833	#124	—	2	1	no	—
834	#124	—	2	1	no	—
835	#124	—	2	1	no	—
836	#124	C₂³×C₁₃	1	1	yes	characteristic
837	#124	C₂³×C₁₃	1	1	yes	characteristic
838	#123	—	2	1	no	—
839	#123	—	2	1	no	—
840	#123	—	2	1	no	—
841	#123	—	2	1	no	—
842	#123	—	2	2	no	—
843	#123	—	2	2	no	—
844	#123	—	2	2	no	—
845	#123	—	2	2	no	—
846	#123	—	2	1	no	—
847	#123	—	2	1	no	—
848	#123	—	2	1	no	—
849	#123	—	2	1	no	—
850	C₂²⋊Q₈	—	2	1	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	—	2	1	no	—
856	C₂²⋊Q₈	—	2	1	no	—
857	C₂²⋊Q₈	—	2	1	no	—
858	C₂²⋊Q₈	—	2	1	no	—
859	C₂²⋊Q₈	—	2	1	no	—
860	C₂²⋊Q₈	—	2	1	no	—
861	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#121	—	2	1	no	—
870	#121	—	2	1	no	—
871	#121	—	2	1	no	—
872	#121	—	2	1	no	—
873	#121	—	2	1	no	—
874	#121	—	2	2	no	—
875	#121	—	2	2	no	—
876	#121	—	2	2	no	—
877	#121	—	2	2	no	—
878	#121	C₂³×C₁₃	1	1	yes	characteristic
879	#121	C₂³×C₁₃	1	1	yes	characteristic
880	#121	C₂³×C₁₃	1	2	yes	—
881	#121	C₂³×C₁₃	1	2	yes	—
882	#121	C₂³×C₁₃	1	2	yes	—
883	#121	C₂³×C₁₃	1	2	yes	—
884	#120	—	2	2	no	—
885	#120	—	2	2	no	—
886	C₄×Q₈	—	2	1	no	—
887	C₄×Q₈	—	2	1	no	—
888	C₄×Q₈	—	2	1	no	—
889	C₄×Q₈	—	2	1	no	—
890	C₄×Q₈	—	2	1	no	—
891	C₄×Q₈	—	2	1	no	—
892	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
893	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
894	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
895	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
896	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
897	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
898	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
899	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	—	2	2	no	—
905	C₄×D₄	—	2	2	no	—
906	C₄×D₄	—	2	1	no	—
907	C₄×D₄	—	2	1	no	—
908	C₄×D₄	—	2	1	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
911	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
912	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
913	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
914	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
915	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
916	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
917	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
918	C₄×D₄	C₂³×C₁₃	1	2	yes	—
919	C₄×D₄	C₂³×C₁₃	1	2	yes	—
920	C₄×D₄	C₂³×C₁₃	1	2	yes	—
921	C₄×D₄	C₂³×C₁₃	1	2	yes	—
922	#117	—	2	1	no	—
923	#117	—	2	1	no	—
924	#117	—	2	1	no	—
925	#117	—	2	1	no	—
926	#117	—	2	1	no	—
927	#117	C₂³×C₁₃	1	1	yes	characteristic
928	#117	C₂³×C₁₃	1	2	yes	—
929	#117	C₂³×C₁₃	1	1	yes	characteristic
930	#117	C₂³×C₁₃	1	1	yes	characteristic
931	#117	C₂³×C₁₃	1	1	yes	characteristic
932	C₂×C₄⋊C₄	—	2	1	no	—
933	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	—	2	2	no	—
935	C₂×C₂²⋊C₄	—	2	2	no	—
936	C₂×C₄²	—	2	1	no	—
937	C₂×C₄²	—	2	1	no	—
938	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
939	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
940	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
941	#107	C₂³×C₁₃	1	2	yes	—
942	#107	C₂³×C₁₃	1	2	yes	—
943	#107	C₂³×C₁₃	1	2	yes	—
944	#107	C₂³×C₁₃	1	2	yes	—
945	#106	C₂³×C₁₃	1	2	yes	—
946	#106	C₂³×C₁₃	1	2	yes	—
947	#106	C₂³×C₁₃	1	2	yes	—
948	#106	C₂³×C₁₃	1	2	yes	—
949	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
950	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
951	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
952	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
953	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
954	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
955	#103	C₂³×C₁₃	1	2	yes	—
956	#103	C₂³×C₁₃	1	2	yes	—
957	#103	C₂³×C₁₃	1	2	yes	—
958	#103	C₂³×C₁₃	1	2	yes	—
959	#103	C₂³×C₁₃	1	2	yes	—
960	#103	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	#102	C₂³×C₁₃	1	2	yes	—
968	#102	C₂³×C₁₃	1	2	yes	—
969	#102	C₂³×C₁₃	1	2	yes	—
970	#102	C₂³×C₁₃	1	2	yes	—
971	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
972	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
973	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
974	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
975	#97	C₂³×C₁₃	1	2	yes	—
976	#97	C₂³×C₁₃	1	2	yes	—
977	C₄×C₈	C₂³×C₁₃	1	2	yes	—
978	C₄×C₈	C₂³×C₁₃	1	2	yes	—
979	C₂×C₁₃	—	4	1	no	—
980	C₂×C₁₃	—	4	1	no	—
981	C₂×C₁₃	—	4	1	no	—
982	C₂×C₁₃	—	8	1	no	—
983	C₂×C₁₃	—	8	2	no	—
984	C₂×C₁₃	—	8	2	no	—
985	C₂×C₁₃	#3449	1	1	yes	characteristic
986	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
987	C₂×C₁₃	#3585	1	1	yes	characteristic
988	C₂⁴	—	2	2	no	—
989	#41	—	4	1	no	—
990	#41	—	4	1	no	—
991	#41	—	4	1	no	—
992	#41	—	4	1	no	—
993	#41	—	8	2	no	—
994	#41	—	8	2	no	—
995	#41	—	8	2	no	—
996	#41	—	8	2	no	—
997	C₂×Q₈	—	2	1	no	—
998	C₂×Q₈	—	2	1	no	—
999	C₂×Q₈	—	2	1	no	—
1000	C₂×Q₈	—	2	1	no	—
1001	C₂×Q₈	—	2	1	no	—
1002	C₂×Q₈	—	4	1	no	—
1003	C₂×Q₈	—	4	1	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	1	no	—
1011	C₂×D₄	—	2	2	no	—
1012	C₂×D₄	—	2	2	no	—
1013	C₂×D₄	—	2	2	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	2	no	—
1021	C₂×D₄	—	2	2	no	—
1022	C₂×D₄	—	4	2	no	—
1023	C₂×D₄	—	4	2	no	—
1024	C₂×D₄	—	8	2	no	—
1025	C₂×D₄	—	8	2	no	—
1026	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1027	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1028	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1029	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1031	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	1	no	—
1035	C₂²×C₄	—	2	1	no	—
1036	C₂²×C₄	—	2	1	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁴×C₁₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1050	SD₁₆	—	4	2	no	—
1051	SD₁₆	—	4	2	no	—
1052	SD₁₆	—	4	2	no	—
1053	SD₁₆	—	4	2	no	—
1054	SD₁₆	—	4	2	no	—
1055	SD₁₆	—	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	C₂⁴×C₁₃	1	2	yes	—
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	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	1	no	—
1066	C₄⋊C₄	—	2	1	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	—	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	1	no	—
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	1	no	—
1088	C₄⋊C₄	—	2	1	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1092	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1093	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1094	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1095	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1096	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1097	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1098	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1099	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1100	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1101	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1102	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1103	C₂²⋊C₄	—	2	2	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	2	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	1	no	—
1118	C₂²⋊C₄	—	2	1	no	—
1119	C₂²⋊C₄	—	2	1	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	2	2	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	1	no	—
1126	C₂²⋊C₄	—	2	1	no	—
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	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1133	C₄²	—	2	1	no	—
1134	C₄²	—	2	1	no	—
1135	C₄²	—	2	1	no	—
1136	C₄²	—	2	1	no	—
1137	C₄²	—	2	1	no	—
1138	C₄²	—	2	1	no	—
1139	C₄²	—	2	1	no	—
1140	C₄²	—	2	2	no	—
1141	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1142	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1143	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1144	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1145	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1146	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1147	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1148	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1149	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1150	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1151	C₁₃	#60994	1	1	yes	characteristic, direct product factor, Sylow
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	4	4	no	—
1156	C₂³	—	8	2	no	—
1157	C₂³	—	8	2	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	1	no	—
1162	Q₈	—	2	1	no	—
1163	Q₈	—	2	1	no	—
1164	Q₈	—	2	1	no	—
1165	Q₈	—	2	1	no	—
1166	Q₈	—	2	1	no	—
1167	Q₈	—	4	1	no	—
1168	Q₈	—	4	2	no	—
1169	Q₈	—	4	2	no	—
1170	Q₈	—	4	2	no	—
1171	Q₈	—	8	1	no	—
1172	Q₈	—	8	1	no	—
1173	D₄	—	2	1	no	—
1174	D₄	—	2	1	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	2	2	no	—
1177	D₄	—	2	2	no	—
1178	D₄	—	2	2	no	—
1179	D₄	—	4	1	no	—
1180	D₄	—	4	1	no	—
1181	D₄	—	4	1	no	—
1182	D₄	—	4	4	no	—
1183	D₄	—	4	2	no	—
1184	D₄	—	4	2	no	—
1185	D₄	—	4	2	no	—
1186	D₄	—	4	2	no	—
1187	D₄	—	4	2	no	—
1188	D₄	—	8	2	no	—
1189	D₄	—	8	2	no	—
1190	D₄	—	8	1	no	—
1191	D₄	—	8	1	no	—
1192	D₄	—	8	2	no	—
1193	D₄	—	8	2	no	—
1194	D₄	—	8	2	no	—
1195	D₄	—	8	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	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	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	4	1	no	—
1215	C₂×C₄	—	4	1	no	—
1216	C₂×C₄	—	4	1	no	—
1217	C₂×C₄	—	4	2	no	—
1218	C₂×C₄	—	4	2	no	—
1219	C₂×C₄	—	4	2	no	—
1220	C₂×C₄	—	8	1	no	—
1221	C₂×C₄	—	8	2	no	—
1222	C₂×C₄	—	8	2	no	—
1223	C₂×C₄	—	8	2	no	—
1224	C₂×C₄	—	8	2	no	—
1225	C₂×C₄	—	8	1	no	—
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	C₂²×D₄×C₁₃	1	1	yes	characteristic
1233	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1234	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1235	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1236	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1237	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1238	C₈	—	2	2	no	—
1239	C₈	—	2	2	no	—
1240	C₈	—	2	2	no	—
1241	C₈	—	2	2	no	—
1242	C₂²	—	2	1	no	—
1243	C₂²	—	2	1	no	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	2	1	no	—
1246	C₂²	—	2	1	no	—
1247	C₂²	—	2	1	no	—
1248	C₂²	—	2	1	no	—
1249	C₂²	—	2	1	no	—
1250	C₂²	—	2	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	2	no	—
1253	C₂²	—	4	2	no	—
1254	C₂²	—	4	2	no	—
1255	C₂²	—	4	2	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	—	4	1	no	—
1258	C₂²	—	4	2	no	—
1259	C₂²	—	4	2	no	—
1260	C₂²	—	16	4	no	—
1261	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
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	2	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	C₁₃×#577	1	2	yes	—
1282	C₄	C₁₃×#585	1	1	yes	characteristic
1283	C₄	C₁₃×#585	1	1	yes	characteristic
1284	C₂	—	4	1	no	—
1285	C₂	—	4	1	no	—
1286	C₂	—	4	1	no	—
1287	C₂	—	8	2	no	—
1288	C₂	—	8	2	no	—
1289	C₂	—	8	1	no	—
1290	C₂	C₁₃×#3449	1	1	yes	characteristic
1291	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1292	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₁₃×#3508	C₂	semidirect
2. C₁₃×#3461	C₂	semidirect
3. C₁₃×#3254	C₂	semidirect
4. C₁₃×#3251	C₂	semidirect
5. C₁₃×#3247	C₂	semidirect
6. C₁₃×#3246	C₂	semidirect
7. C₁₃×#3241	C₂	semidirect
8. C₁₃×#3237	C₂	semidirect
9. C₁₃×#3233	C₂	semidirect
10. C₁₃×#3221	C₂	semidirect
11. C₁₃×#3217	C₂	semidirect
12. C₁₃×#3208	C₂	semidirect
13. C₁₃×#3200	C₂	semidirect
14. C₁₃×#3198	C₂	semidirect
15. C₁₃×#3179	C₂	semidirect
16. C₁₃×#3174	C₂	semidirect
17. C₁₃×#3123	C₂	semidirect
18. C₁₃×#3118	C₂	semidirect
19. C₁₃×#3115	C₂	semidirect
20. C₁₃×#3112	C₂	semidirect
21. C₁₃×#3106	C₂	semidirect
22. C₁₃×#3103	C₂	semidirect
23. C₁₃×#2925	C₂	semidirect
32. C₁₃×#544	C₂²	semidirect
35. C₁₃×#542	C₂²	semidirect
38. C₁₃×#541	C₂²	semidirect
45. C₁₃×#536	C₂²	semidirect
50. C₁₃×#533	C₂²	semidirect
60. C₁₃×#529	C₂²	semidirect
63. C₄×C₁₃×#41	C₂²	semidirect
64. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#499	C₂²	semidirect
69. C₁₃×#491	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
77. C₁₃×#482	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#480	C₂²	semidirect
81. C₁₃×#478	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#477	C₂²	semidirect
84. C₁₃×#477	C₂²	semidirect
85. C₁₃×#477	C₂²	semidirect
86. C₁₃×#476	C₂²	semidirect
87. C₁₃×#476	C₂²	semidirect
88. C₁₃×#475	C₂²	semidirect
89. C₁₃×#475	C₂²	semidirect
90. C₁₃×#475	C₂²	semidirect
91. C₁₃×#474	C₂²	semidirect
92. C₁₃×#474	C₂²	semidirect
93. C₁₃×#469	C₂²	semidirect
94. C₁₃×#468	C₂²	semidirect
95. C₁₃×#468	C₂²	semidirect
96. C₁₃×#468	C₂²	semidirect
97. C₁₃×#466	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
100. C₁₃×#465	C₂²	semidirect
101. C₁₃×#463	C₂²	semidirect
102. C₁₃×#463	C₂²	semidirect
103. C₁₃×#461	C₂²	semidirect
104. C₁₃×#461	C₂²	semidirect
116. C₁₃×#449	C₂²	semidirect
117. C₁₃×#449	C₂²	semidirect
118. C₁₃×#448	C₂²	semidirect
119. C₁₃×#448	C₂²	semidirect
121. C₁₃×#442	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₁₃×#440	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₄×C₁₃×SD₁₆	C₂²	semidirect
127. C₄×C₁₃×SD₁₆	C₂²	semidirect
128. C₄×C₁₃×D₈	C₂²	semidirect
130. C₁₃×#433	C₂²	semidirect
132. C₁₃×#432	C₂²	semidirect
134. C₁₃×#431	C₂²	semidirect
135. C₁₃×#423	C₂²	semidirect
136. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60994	C₁₃	direct (N × H)
506. #3508	C₂×C₁₃	semidirect
507. #3461	C₂×C₁₃	semidirect
508. #3254	C₂×C₁₃	semidirect
509. #3251	C₂×C₁₃	semidirect
510. #3247	C₂×C₁₃	semidirect
511. #3246	C₂×C₁₃	semidirect
512. #3241	C₂×C₁₃	semidirect
513. #3237	C₂×C₁₃	semidirect
514. #3233	C₂×C₁₃	semidirect
515. #3221	C₂×C₁₃	semidirect
516. #3217	C₂×C₁₃	semidirect
517. #3208	C₂×C₁₃	semidirect
518. #3200	C₂×C₁₃	semidirect
519. #3198	C₂×C₁₃	semidirect
520. #3179	C₂×C₁₃	semidirect
521. #3174	C₂×C₁₃	semidirect
522. #3123	C₂×C₁₃	semidirect
523. #3118	C₂×C₁₃	semidirect
524. #3115	C₂×C₁₃	semidirect
525. #3112	C₂×C₁₃	semidirect
526. #3106	C₂×C₁₃	semidirect
527. #3103	C₂×C₁₃	semidirect
528. #2925	C₂×C₁₃	semidirect
627. #544	C₂²×C₁₃	semidirect
630. #542	C₂²×C₁₃	semidirect
633. #541	C₂²×C₁₃	semidirect
640. #536	C₂²×C₁₃	semidirect
645. #533	C₂²×C₁₃	semidirect
655. #529	C₂²×C₁₃	semidirect
658. C₄×#41	C₂²×C₁₃	semidirect
659. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
660. #501	C₂²×C₁₃	semidirect
661. #499	C₂²×C₁₃	semidirect
664. #491	C₂²×C₁₃	semidirect
666. #488	C₂²×C₁₃	semidirect
672. #482	C₂²×C₁₃	semidirect
673. #482	C₂²×C₁₃	semidirect
674. #481	C₂²×C₁₃	semidirect
675. #480	C₂²×C₁₃	semidirect
676. #478	C₂²×C₁₃	semidirect
677. #478	C₂²×C₁₃	semidirect
678. #477	C₂²×C₁₃	semidirect
679. #477	C₂²×C₁₃	semidirect
680. #477	C₂²×C₁₃	semidirect
681. #476	C₂²×C₁₃	semidirect
682. #476	C₂²×C₁₃	semidirect
683. #475	C₂²×C₁₃	semidirect
684. #475	C₂²×C₁₃	semidirect
685. #475	C₂²×C₁₃	semidirect
686. #474	C₂²×C₁₃	semidirect
687. #474	C₂²×C₁₃	semidirect
688. #469	C₂²×C₁₃	semidirect
689. #468	C₂²×C₁₃	semidirect
690. #468	C₂²×C₁₃	semidirect
691. #468	C₂²×C₁₃	semidirect
692. #466	C₂²×C₁₃	semidirect
693. #465	C₂²×C₁₃	semidirect
694. #465	C₂²×C₁₃	semidirect
695. #465	C₂²×C₁₃	semidirect
696. #463	C₂²×C₁₃	semidirect
697. #463	C₂²×C₁₃	semidirect
698. #461	C₂²×C₁₃	semidirect
699. #461	C₂²×C₁₃	semidirect
711. #449	C₂²×C₁₃	semidirect
712. #449	C₂²×C₁₃	semidirect
713. #448	C₂²×C₁₃	semidirect
714. #448	C₂²×C₁₃	semidirect
716. #442	C₂²×C₁₃	semidirect
717. #440	C₂²×C₁₃	semidirect
718. #440	C₂²×C₁₃	semidirect
719. #440	C₂²×C₁₃	semidirect
720. C₄×SD₁₆	C₂²×C₁₃	semidirect
721. C₄×SD₁₆	C₂²×C₁₃	semidirect
722. C₄×SD₁₆	C₂²×C₁₃	semidirect
723. C₄×D₈	C₂²×C₁₃	semidirect
725. #433	C₂²×C₁₃	semidirect
727. #432	C₂²×C₁₃	semidirect
729. #431	C₂²×C₁₃	semidirect
730. #423	C₂²×C₁₃	semidirect
731. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
733. #405	C₂²×C₁₃	semidirect
1151. C₁₃	#60994	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#3508	2
C₁₃×#3461	2
C₁₃×#3254	2
C₁₃×#3251	2
C₁₃×#3247	2
C₁₃×#3246	2
C₁₃×#3241	2
C₁₃×#3237	2
C₁₃×#3233	2
C₁₃×#3221	2
C₁₃×#3217	2
C₁₃×#3208	2
C₁₃×#3200	2
C₁₃×#3198	2
C₁₃×#3179	2
C₁₃×#3174	2
C₁₃×#3123	2
C₁₃×#3118	2
C₁₃×#3115	2
C₁₃×#3112	2
C₁₃×#3106	2
C₁₃×#3103	2
C₁₃×#2925	2
#60994	13

Subgroups — C13×#60994 #15747333

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60994 #15747333