Subgroups — C₁₃×#61515 #15747854

Order 3328.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3390	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3355	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3346	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3317	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3309	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3179	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3174	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3126	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2967	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2951	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
35	C₁₃×#557	C₂²	1	1	yes	characteristic
36	C₁₃×#557	C₂²	1	1	yes	characteristic
37	C₁₃×#556	—	2	1	no	—
38	C₁₃×#556	C₂²	1	1	yes	characteristic
39	C₁₃×#554	—	2	1	no	—
40	C₁₃×#554	C₂²	1	1	yes	characteristic
41	C₁₃×#553	—	2	1	no	—
42	C₁₃×#553	—	2	1	no	—
43	C₁₃×#553	—	2	1	no	—
44	C₁₃×#553	C₂²	1	1	yes	characteristic
45	C₁₃×#553	C₂²	1	1	yes	characteristic
46	C₁₃×#553	C₂²	1	1	yes	characteristic
47	C₁₃×#552	—	2	1	no	—
48	C₁₃×#552	C₂²	1	1	yes	characteristic
49	C₁₃×#550	—	2	1	no	—
50	C₁₃×#550	C₂²	1	1	yes	characteristic
51	C₁₃×#550	C₂²	1	1	yes	characteristic
52	C₁₃×#550	C₂²	1	1	yes	characteristic
53	C₁₃×#550	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
55	C₁₃×#548	C₂²	1	1	yes	characteristic
56	C₁₃×#548	C₂²	1	1	yes	characteristic
57	C₁₃×#547	—	2	1	no	—
58	C₁₃×#547	C₂²	1	1	yes	characteristic
59	C₁₃×#542	—	2	1	no	—
60	C₁₃×#542	C₂²	1	1	yes	characteristic
61	C₁₃×#541	—	2	1	no	—
62	C₁₃×#541	C₂²	1	1	yes	characteristic
63	C₁₃×#540	—	2	1	no	—
64	C₁₃×#540	—	2	1	no	—
65	C₁₃×#540	C₂²	1	1	yes	characteristic
66	C₁₃×#540	C₂²	1	1	yes	characteristic
67	C₁₃×#532	—	2	1	no	—
68	C₁₃×#532	C₂²	1	1	yes	characteristic
69	C₁₃×#529	—	2	1	no	—
70	C₁₃×#529	—	2	1	no	—
71	C₁₃×#529	—	2	1	no	—
72	C₁₃×#529	C₂²	1	1	yes	characteristic
73	C₁₃×#529	C₂²	1	1	yes	characteristic
74	C₁₃×#520	C₂²	1	1	yes	characteristic
75	C₁₃×#520	C₂²	1	1	yes	characteristic
76	C₁₃×#520	C₂²	1	1	yes	characteristic
77	C₁₃×#519	C₂²	1	1	yes	characteristic
78	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
79	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
80	C₁₃×#501	C₂²	1	1	yes	characteristic
81	C₁₃×#501	C₂²	1	1	yes	characteristic
82	C₁₃×#499	C₂²	1	1	yes	characteristic
83	C₁₃×#496	C₂²	1	1	yes	characteristic
84	C₁₃×#496	C₂²	1	1	yes	characteristic
85	C₁₃×#492	C₂²	1	1	yes	characteristic
86	C₁₃×#491	C₂²	1	1	yes	characteristic
87	C₁₃×#490	C₂²	1	1	yes	characteristic
88	C₁₃×#490	C₂²	1	1	yes	characteristic
89	C₁₃×#489	C₂²	1	1	yes	characteristic
90	C₁₃×#488	C₂²	1	1	yes	characteristic
91	C₁₃×#486	C₂²	1	1	yes	characteristic
92	C₁₃×#485	C₂²	1	1	yes	characteristic
93	C₁₃×#484	C₂²	1	1	yes	characteristic
94	C₁₃×#484	C₂²	1	1	yes	characteristic
95	C₁₃×#483	C₂²	1	1	yes	characteristic
96	C₁₃×#482	C₂²	1	1	yes	characteristic
97	C₁₃×#482	C₂²	1	1	yes	characteristic
98	C₁₃×#482	C₂²	1	1	yes	characteristic
99	C₁₃×#481	C₂²	1	1	yes	characteristic
100	C₁₃×#480	C₂²	1	1	yes	characteristic
101	C₁₃×#480	C₂²	1	1	yes	characteristic
102	C₁₃×#480	C₂²	1	1	yes	characteristic
103	C₁₃×#480	C₂²	1	1	yes	characteristic
104	C₁₃×#479	C₂²	1	1	yes	characteristic
105	C₁₃×#479	C₂²	1	1	yes	characteristic
106	C₁₃×#479	C₂²	1	1	yes	characteristic
107	C₁₃×#479	C₂²	1	1	yes	characteristic
108	C₁₃×#479	C₂²	1	1	yes	characteristic
109	C₁₃×#478	C₂²	1	1	yes	characteristic
110	C₁₃×#478	C₂²	1	1	yes	characteristic
111	C₁₃×#478	C₂²	1	1	yes	characteristic
112	C₁₃×#477	C₂²	1	1	yes	characteristic
113	C₁₃×#477	C₂²	1	1	yes	characteristic
114	C₁₃×#477	C₂²	1	1	yes	characteristic
115	C₁₃×#474	C₂²	1	1	yes	characteristic
116	C₁₃×#469	C₂²	1	1	yes	characteristic
117	C₁₃×#469	C₂²	1	1	yes	characteristic
118	C₁₃×#469	C₂²	1	1	yes	characteristic
119	C₁₃×#468	C₂²	1	1	yes	characteristic
120	C₁₃×#468	C₂²	1	1	yes	characteristic
121	C₁₃×#468	C₂²	1	1	yes	characteristic
122	C₁₃×#468	C₂²	1	1	yes	characteristic
123	C₁₃×#468	C₂²	1	1	yes	characteristic
124	C₁₃×#466	C₂²	1	1	yes	characteristic
125	C₁₃×#465	C₂²	1	1	yes	characteristic
126	C₁₃×#465	C₂²	1	1	yes	characteristic
127	C₁₃×#465	C₂²	1	1	yes	characteristic
128	C₁₃×#464	C₂²	1	1	yes	characteristic
129	C₁₃×#464	C₂²	1	1	yes	characteristic
130	C₁₃×#463	C₂²	1	1	yes	characteristic
131	C₁₃×#463	C₂²	1	1	yes	characteristic
132	C₁₃×#462	C₂²	1	1	yes	characteristic
133	C₁₃×#461	C₂²	1	1	yes	characteristic
134	C₁₃×#460	C₂²	1	1	yes	characteristic
135	C₁₃×#460	C₂²	1	1	yes	characteristic
136	C₁₃×#460	C₂²	1	1	yes	characteristic
137	C₁₃×#460	C₂²	1	1	yes	characteristic
138	C₁₃×#460	C₂²	1	1	yes	characteristic
139	C₁₃×#459	C₂²	1	1	yes	characteristic
140	C₁₃×#452	C₂²	1	1	yes	characteristic
141	C₁₃×#452	C₂²	1	1	yes	characteristic
142	C₁₃×#452	C₂²	1	1	yes	characteristic
143	C₁₃×#452	C₂²	1	1	yes	characteristic
144	C₁₃×#449	C₂²	1	1	yes	characteristic
145	C₁₃×#449	C₂²	1	1	yes	characteristic
146	C₁₃×#449	C₂²	1	1	yes	characteristic
147	C₁₃×#449	C₂²	1	1	yes	characteristic
148	C₁₃×#448	C₂²	1	1	yes	characteristic
149	C₁₃×#448	C₂²	1	1	yes	characteristic
150	C₁₃×#448	C₂²	1	1	yes	characteristic
151	C₁₃×#448	C₂²	1	1	yes	characteristic
152	C₁₃×#446	C₂²	1	1	yes	characteristic
153	C₁₃×#446	C₂²	1	1	yes	characteristic
154	C₁₃×#442	C₂²	1	1	yes	characteristic
155	C₁₃×#441	C₂²	1	1	yes	characteristic
156	C₁₃×#441	C₂²	1	1	yes	characteristic
157	C₁₃×#441	C₂²	1	1	yes	characteristic
158	C₁₃×#441	C₂²	1	1	yes	characteristic
159	C₁₃×#440	C₂²	1	1	yes	characteristic
160	C₁₃×#440	C₂²	1	1	yes	characteristic
161	C₁₃×#440	C₂²	1	1	yes	characteristic
162	C₁₃×#440	C₂²	1	1	yes	characteristic
163	C₁₃×#440	C₂²	1	1	yes	characteristic
164	C₁₃×#440	C₂²	1	1	yes	characteristic
165	C₁₃×#440	C₂²	1	1	yes	characteristic
166	C₁₃×#440	C₂²	1	1	yes	characteristic
167	C₁₃×#440	C₂²	1	1	yes	characteristic
168	C₁₃×#440	C₂²	1	1	yes	characteristic
169	C₁₃×#440	C₂²	1	1	yes	characteristic
170	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
172	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
173	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
174	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
175	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
176	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
179	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
182	C₁₃×#436	C₂²	1	1	yes	characteristic
183	C₁₃×#436	C₂²	1	1	yes	characteristic
184	C₁₃×#435	C₂²	1	1	yes	characteristic
185	C₁₃×#435	C₂²	1	1	yes	characteristic
186	C₁₃×#435	C₂²	1	1	yes	characteristic
187	C₁₃×#435	C₂²	1	1	yes	characteristic
188	C₁₃×#433	C₂²	1	1	yes	characteristic
189	C₁₃×#433	C₂²	1	1	yes	characteristic
190	C₁₃×#432	C₂²	1	1	yes	characteristic
191	C₁₃×#428	C₂²	1	1	yes	characteristic
192	C₁₃×#428	C₂²	1	1	yes	characteristic
193	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
194	C₁₃×#419	C₂²	1	1	yes	characteristic
195	C₁₃×#417	C₂²	1	1	yes	characteristic
196	C₁₃×#417	C₂²	1	1	yes	characteristic
197	C₁₃×#417	C₂²	1	1	yes	characteristic
198	C₁₃×#416	C₂²	1	1	yes	characteristic
199	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
200	C₁₃×#405	C₂²	1	1	yes	characteristic
201	C₁₃×#405	C₂²	1	1	yes	characteristic
202	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	—	2	1	no	—
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
212	C₁₃×#137	—	2	4	no	—
213	C₁₃×#137	—	2	4	no	—
214	C₁₃×#135	—	2	4	no	—
215	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	—	2	1	no	—
238	C₁₃×C₄⋊Q₈	—	2	1	no	—
239	C₁₃×C₄⋊Q₈	—	2	1	no	—
240	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×#127	—	2	1	no	—
244	C₁₃×#127	—	2	1	no	—
245	C₁₃×#127	—	2	1	no	—
246	C₁₃×#127	C₂³	1	1	yes	characteristic
247	C₁₃×#127	C₂³	1	1	yes	characteristic
248	C₁₃×#127	C₂³	1	1	yes	characteristic
249	C₁₃×#126	—	2	1	no	—
250	C₁₃×#126	—	2	1	no	—
251	C₁₃×#126	—	2	1	no	—
252	C₁₃×#126	—	2	1	no	—
253	C₁₃×#126	—	2	1	no	—
254	C₁₃×#126	—	2	1	no	—
255	C₁₃×#126	—	2	1	no	—
256	C₁₃×#126	—	2	1	no	—
257	C₁₃×#126	—	2	1	no	—
258	C₁₃×#126	—	2	1	no	—
259	C₁₃×#126	D₄	1	1	yes	characteristic
260	C₁₃×#126	D₄	1	1	yes	characteristic
261	C₁₃×#125	—	2	1	no	—
262	C₁₃×#125	—	2	1	no	—
263	C₁₃×#125	—	2	1	no	—
264	C₁₃×#125	—	2	1	no	—
265	C₁₃×#125	—	2	1	no	—
266	C₁₃×#125	—	2	1	no	—
267	C₁₃×#125	—	2	1	no	—
268	C₁₃×#125	—	2	1	no	—
269	C₁₃×#125	D₄	1	1	yes	characteristic
270	C₁₃×#125	C₂³	1	1	yes	characteristic
271	C₁₃×#125	C₂³	1	1	yes	characteristic
272	C₁₃×#125	C₂³	1	1	yes	characteristic
273	C₁₃×#125	C₂³	1	1	yes	characteristic
274	C₁₃×#124	—	2	1	no	—
275	C₁₃×#124	—	2	1	no	—
276	C₁₃×#124	—	2	1	no	—
277	C₁₃×#124	—	2	1	no	—
278	C₁₃×#124	D₄	1	1	yes	characteristic
279	C₁₃×#124	C₂³	1	1	yes	characteristic
280	C₁₃×#124	C₂³	1	1	yes	characteristic
281	C₁₃×#123	—	2	1	no	—
282	C₁₃×#123	—	2	1	no	—
283	C₁₃×#123	—	2	1	no	—
284	C₁₃×#123	—	2	1	no	—
285	C₁₃×#123	—	2	1	no	—
286	C₁₃×#123	—	2	1	no	—
287	C₁₃×#123	—	2	1	no	—
288	C₁₃×#123	—	2	1	no	—
289	C₁₃×#123	—	2	1	no	—
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×#123	—	2	1	no	—
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	D₄	1	1	yes	characteristic
294	C₁₃×#123	D₄	1	1	yes	characteristic
295	C₁₃×C₂²⋊Q₈	—	2	1	no	—
296	C₁₃×C₂²⋊Q₈	—	2	1	no	—
297	C₁₃×C₂²⋊Q₈	—	2	1	no	—
298	C₁₃×C₂²⋊Q₈	—	2	1	no	—
299	C₁₃×C₂²⋊Q₈	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	—	2	1	no	—
301	C₁₃×C₂²⋊Q₈	—	2	1	no	—
302	C₁₃×C₂²⋊Q₈	—	2	1	no	—
303	C₁₃×C₂²⋊Q₈	—	2	1	no	—
304	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
305	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
307	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₁₃×#121	—	2	1	no	—
310	C₁₃×#121	—	2	1	no	—
311	C₁₃×#121	—	2	1	no	—
312	C₁₃×#121	—	2	1	no	—
313	C₁₃×#121	—	2	1	no	—
314	C₁₃×#121	—	2	1	no	—
315	C₁₃×#121	—	2	1	no	—
316	C₁₃×#121	—	2	1	no	—
317	C₁₃×#121	—	2	1	no	—
318	C₁₃×#121	—	2	1	no	—
319	C₁₃×#121	—	2	1	no	—
320	C₁₃×#121	—	2	1	no	—
321	C₁₃×#121	—	2	1	no	—
322	C₁₃×#121	—	2	1	no	—
323	C₁₃×#121	—	2	1	no	—
324	C₁₃×#121	—	2	1	no	—
325	C₁₃×#121	—	2	1	no	—
326	C₁₃×#121	—	2	1	no	—
327	C₁₃×#121	—	2	1	no	—
328	C₁₃×#121	D₄	1	1	yes	characteristic
329	C₁₃×#121	C₂³	1	1	yes	characteristic
330	C₁₃×#121	C₂³	1	1	yes	characteristic
331	C₁₃×#121	C₂³	1	1	yes	characteristic
332	C₁₃×#121	C₂³	1	1	yes	characteristic
333	C₁₃×#121	C₂³	1	1	yes	characteristic
334	C₁₃×#121	C₂³	1	1	yes	characteristic
335	C₁₃×#121	C₂³	1	1	yes	characteristic
336	C₁₃×#121	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₁₃	—	2	1	no	—
338	C₄×Q₈×C₁₃	—	2	1	no	—
339	C₄×Q₈×C₁₃	—	2	1	no	—
340	C₄×Q₈×C₁₃	—	2	1	no	—
341	C₄×Q₈×C₁₃	—	2	1	no	—
342	C₄×Q₈×C₁₃	—	2	1	no	—
343	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₁₃	—	2	1	no	—
357	C₄×D₄×C₁₃	—	2	1	no	—
358	C₄×D₄×C₁₃	—	2	1	no	—
359	C₄×D₄×C₁₃	—	2	1	no	—
360	C₄×D₄×C₁₃	—	2	1	no	—
361	C₄×D₄×C₁₃	—	2	1	no	—
362	C₄×D₄×C₁₃	—	2	1	no	—
363	C₄×D₄×C₁₃	—	2	1	no	—
364	C₄×D₄×C₁₃	—	2	1	no	—
365	C₄×D₄×C₁₃	—	2	1	no	—
366	C₄×D₄×C₁₃	—	2	1	no	—
367	C₄×D₄×C₁₃	—	2	1	no	—
368	C₄×D₄×C₁₃	—	2	1	no	—
369	C₄×D₄×C₁₃	—	2	1	no	—
370	C₄×D₄×C₁₃	—	2	1	no	—
371	C₄×D₄×C₁₃	—	2	1	no	—
372	C₄×D₄×C₁₃	—	2	1	no	—
373	C₄×D₄×C₁₃	—	2	1	no	—
374	C₄×D₄×C₁₃	—	2	1	no	—
375	C₄×D₄×C₁₃	—	2	1	no	—
376	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
386	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
387	C₁₃×#117	—	2	1	no	—
388	C₁₃×#117	—	2	1	no	—
389	C₁₃×#117	—	2	1	no	—
390	C₁₃×#117	—	2	1	no	—
391	C₁₃×#117	—	2	1	no	—
392	C₁₃×#117	—	2	1	no	—
393	C₁₃×#117	—	2	1	no	—
394	C₁₃×#117	—	2	1	no	—
395	C₁₃×#117	—	2	1	no	—
396	C₁₃×#117	C₂³	1	1	yes	characteristic
397	C₁₃×#117	C₂³	1	1	yes	characteristic
398	C₁₃×#117	C₂³	1	1	yes	characteristic
399	C₁₃×#117	C₂³	1	1	yes	characteristic
400	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×C₄²×C₁₃	—	2	1	no	—
409	C₂×C₄²×C₁₃	—	2	1	no	—
410	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#107	C₂³	1	1	yes	characteristic
415	C₁₃×#107	C₂³	1	1	yes	characteristic
416	C₁₃×#107	C₂³	1	1	yes	characteristic
417	C₁₃×#107	C₂³	1	1	yes	characteristic
418	C₁₃×#107	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×#106	C₂³	1	1	yes	characteristic
424	C₁₃×#106	C₂³	1	1	yes	characteristic
425	C₁₃×#106	C₂³	1	1	yes	characteristic
426	C₁₃×#106	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#102	C₂³	1	1	yes	characteristic
450	C₁₃×#102	C₂³	1	1	yes	characteristic
451	C₁₃×#102	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₃×#97	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₁₃×#97	C₂³	1	1	yes	characteristic
475	C₁₃×#97	C₂³	1	1	yes	characteristic
476	C₁₃×#97	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
481	#61515	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
482	C₁₃×#41	—	2	2	no	—
483	C₁₃×#41	—	2	2	no	—
484	C₁₃×#41	—	2	2	no	—
485	C₁₃×#41	—	2	2	no	—
486	C₁₃×#41	—	4	1	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₁₃×#41	—	8	2	no	—
491	C₁₃×#41	—	8	2	no	—
492	C₁₃×#41	—	8	2	no	—
493	C₂×Q₈×C₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	2	1	no	—
496	C₂×Q₈×C₁₃	—	2	1	no	—
497	C₂×Q₈×C₁₃	—	2	2	no	—
498	C₂×Q₈×C₁₃	—	2	2	no	—
499	C₂×Q₈×C₁₃	—	4	1	no	—
500	C₂×Q₈×C₁₃	—	4	1	no	—
501	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	2	1	no	—
521	C₂×D₄×C₁₃	—	2	1	no	—
522	C₂×D₄×C₁₃	—	2	1	no	—
523	C₂×D₄×C₁₃	—	2	1	no	—
524	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	—	2	1	no	—
540	C₂²×C₄×C₁₃	—	2	1	no	—
541	C₂²×C₄×C₁₃	—	2	1	no	—
542	C₂²×C₄×C₁₃	—	2	1	no	—
543	C₂²×C₄×C₁₃	—	2	1	no	—
544	C₂²×C₄×C₁₃	—	2	1	no	—
545	C₂²×C₄×C₁₃	—	2	1	no	—
546	C₂²×C₄×C₁₃	—	2	1	no	—
547	C₂²×C₄×C₁₃	—	2	1	no	—
548	C₂²×C₄×C₁₃	—	2	1	no	—
549	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₁₃×Q₁₆	—	2	2	no	—
555	C₁₃×Q₁₆	—	2	2	no	—
556	C₁₃×Q₁₆	#41	1	4	yes	complemented
557	C₁₃×SD₁₆	—	2	2	no	—
558	C₁₃×SD₁₆	—	2	2	no	—
559	C₁₃×SD₁₆	—	2	2	no	—
560	C₁₃×SD₁₆	—	2	2	no	—
561	C₁₃×SD₁₆	—	2	2	no	—
562	C₁₃×SD₁₆	—	2	2	no	—
563	C₁₃×SD₁₆	—	4	1	no	—
564	C₁₃×SD₁₆	—	4	1	no	—
565	C₁₃×SD₁₆	—	4	1	no	—
566	C₁₃×SD₁₆	—	4	1	no	—
567	C₁₃×D₈	—	2	2	no	—
568	C₁₃×D₈	—	4	1	no	—
569	C₁₃×D₈	—	4	1	no	—
570	C₁₃×M₁₆	—	2	2	no	—
571	C₁₃×M₁₆	—	2	2	no	—
572	C₁₃×M₁₆	—	4	1	no	—
573	C₁₃×M₁₆	—	4	1	no	—
574	C₂×C₈×C₁₃	—	2	2	no	—
575	C₂×C₈×C₁₃	—	4	1	no	—
576	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	—	2	1	no	—
657	C₁₃×C₂²⋊C₄	—	2	1	no	—
658	C₁₃×C₂²⋊C₄	—	2	1	no	—
659	C₁₃×C₂²⋊C₄	—	2	1	no	—
660	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₄²×C₁₃	—	2	1	no	—
671	C₄²×C₁₃	—	2	1	no	—
672	C₄²×C₁₃	—	2	1	no	—
673	C₄²×C₁₃	—	2	1	no	—
674	C₄²×C₁₃	—	2	1	no	—
675	C₄²×C₁₃	—	2	1	no	—
676	C₄²×C₁₃	—	2	1	no	—
677	C₄²×C₁₃	—	2	1	no	—
678	C₄²×C₁₃	—	2	1	no	—
679	C₄²×C₁₃	—	2	1	no	—
680	C₄²×C₁₃	—	2	1	no	—
681	C₄²×C₁₃	—	2	1	no	—
682	C₄²×C₁₃	—	2	1	no	—
683	C₄²×C₁₃	—	2	1	no	—
684	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
687	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
688	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
689	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
690	#3517	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3516	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3390	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3355	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3346	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3343	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3333	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3326	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3320	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3317	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3309	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3308	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3179	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3174	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3126	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3124	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#3120	C₂×C₁₃	1	1	yes	characteristic, complemented
714	#3119	C₂×C₁₃	1	1	yes	characteristic, complemented
715	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
716	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
717	#2967	C₂×C₁₃	1	1	yes	characteristic, complemented
718	#2951	C₂×C₁₃	1	1	yes	characteristic, complemented
719	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
720	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
721	C₂³×C₁₃	—	2	1	no	—
722	C₂³×C₁₃	—	2	1	no	—
723	C₂³×C₁₃	—	2	1	no	—
724	C₂³×C₁₃	—	2	1	no	—
725	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
726	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
727	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	2	1	no	—
732	Q₈×C₁₃	—	2	1	no	—
733	Q₈×C₁₃	—	2	1	no	—
734	Q₈×C₁₃	—	4	1	no	—
735	Q₈×C₁₃	—	4	2	no	—
736	Q₈×C₁₃	—	4	2	no	—
737	Q₈×C₁₃	—	4	2	no	—
738	Q₈×C₁₃	—	8	1	no	—
739	Q₈×C₁₃	C₂×#41	1	2	yes	—
740	Q₈×C₁₃	C₂×#41	1	2	yes	—
741	D₄×C₁₃	—	2	1	no	—
742	D₄×C₁₃	—	2	1	no	—
743	D₄×C₁₃	—	2	1	no	—
744	D₄×C₁₃	—	2	1	no	—
745	D₄×C₁₃	—	2	1	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	2	1	no	—
748	D₄×C₁₃	—	2	1	no	—
749	D₄×C₁₃	—	4	1	no	—
750	D₄×C₁₃	—	4	1	no	—
751	D₄×C₁₃	—	4	1	no	—
752	D₄×C₁₃	—	4	2	no	—
753	D₄×C₁₃	—	4	2	no	—
754	D₄×C₁₃	—	4	2	no	—
755	D₄×C₁₃	—	4	2	no	—
756	D₄×C₁₃	—	4	2	no	—
757	D₄×C₁₃	—	4	2	no	—
758	D₄×C₁₃	—	8	1	no	—
759	D₄×C₁₃	—	8	1	no	—
760	D₄×C₁₃	—	8	1	no	—
761	D₄×C₁₃	—	8	1	no	—
762	D₄×C₁₃	—	8	1	no	—
763	D₄×C₁₃	—	8	1	no	—
764	D₄×C₁₃	—	8	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	D₄×C₁₃	—	8	1	no	—
767	D₄×C₁₃	—	8	1	no	—
768	D₄×C₁₃	—	8	1	no	—
769	D₄×C₁₃	—	8	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	4	1	no	—
789	C₂×C₄×C₁₃	—	4	1	no	—
790	C₂×C₄×C₁₃	—	4	2	no	—
791	C₂×C₄×C₁₃	—	4	2	no	—
792	C₂×C₄×C₁₃	—	4	2	no	—
793	C₂×C₄×C₁₃	—	4	2	no	—
794	C₂×C₄×C₁₃	—	4	2	no	—
795	C₂×C₄×C₁₃	—	4	2	no	—
796	C₂×C₄×C₁₃	—	4	2	no	—
797	C₂×C₄×C₁₃	—	8	1	no	—
798	C₂×C₄×C₁₃	—	8	1	no	—
799	C₂×C₄×C₁₃	—	8	1	no	—
800	C₂×C₄×C₁₃	—	8	1	no	—
801	C₂×C₄×C₁₃	—	8	1	no	—
802	C₂×C₄×C₁₃	—	8	1	no	—
803	C₂×C₄×C₁₃	—	8	1	no	—
804	C₂×C₄×C₁₃	—	8	1	no	—
805	C₂×C₄×C₁₃	—	8	1	no	—
806	C₂×C₄×C₁₃	—	8	1	no	—
807	C₂×C₄×C₁₃	—	8	1	no	—
808	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
820	C₈×C₁₃	—	2	1	no	—
821	C₈×C₁₃	—	2	1	no	—
822	C₈×C₁₃	—	2	1	no	—
823	C₈×C₁₃	—	2	1	no	—
824	C₈×C₁₃	—	2	1	no	—
825	C₈×C₁₃	—	2	1	no	—
826	C₈×C₁₃	—	2	1	no	—
827	C₈×C₁₃	C₂×#41	1	2	yes	—
828	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
829	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
830	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
831	#557	C₂²×C₁₃	1	1	yes	characteristic
832	#557	C₂²×C₁₃	1	1	yes	characteristic
833	#556	—	2	1	no	—
834	#556	C₂²×C₁₃	1	1	yes	characteristic
835	#554	—	2	1	no	—
836	#554	C₂²×C₁₃	1	1	yes	characteristic
837	#553	—	2	1	no	—
838	#553	—	2	1	no	—
839	#553	—	2	1	no	—
840	#553	C₂²×C₁₃	1	1	yes	characteristic
841	#553	C₂²×C₁₃	1	1	yes	characteristic
842	#553	C₂²×C₁₃	1	1	yes	characteristic
843	#552	—	2	1	no	—
844	#552	C₂²×C₁₃	1	1	yes	characteristic
845	#550	—	2	1	no	—
846	#550	C₂²×C₁₃	1	1	yes	characteristic
847	#550	C₂²×C₁₃	1	1	yes	characteristic
848	#550	C₂²×C₁₃	1	1	yes	characteristic
849	#550	C₂²×C₁₃	1	1	yes	characteristic
850	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
851	#548	C₂²×C₁₃	1	1	yes	characteristic
852	#548	C₂²×C₁₃	1	1	yes	characteristic
853	#547	—	2	1	no	—
854	#547	C₂²×C₁₃	1	1	yes	characteristic
855	#542	—	2	1	no	—
856	#542	C₂²×C₁₃	1	1	yes	characteristic
857	#541	—	2	1	no	—
858	#541	C₂²×C₁₃	1	1	yes	characteristic
859	#540	—	2	1	no	—
860	#540	—	2	1	no	—
861	#540	C₂²×C₁₃	1	1	yes	characteristic
862	#540	C₂²×C₁₃	1	1	yes	characteristic
863	#532	—	2	1	no	—
864	#532	C₂²×C₁₃	1	1	yes	characteristic
865	#529	—	2	1	no	—
866	#529	—	2	1	no	—
867	#529	—	2	1	no	—
868	#529	C₂²×C₁₃	1	1	yes	characteristic
869	#529	C₂²×C₁₃	1	1	yes	characteristic
870	#520	C₂²×C₁₃	1	1	yes	characteristic
871	#520	C₂²×C₁₃	1	1	yes	characteristic
872	#520	C₂²×C₁₃	1	1	yes	characteristic
873	#519	C₂²×C₁₃	1	1	yes	characteristic
874	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
875	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
876	#501	C₂²×C₁₃	1	1	yes	characteristic
877	#501	C₂²×C₁₃	1	1	yes	characteristic
878	#499	C₂²×C₁₃	1	1	yes	characteristic
879	#496	C₂²×C₁₃	1	1	yes	characteristic
880	#496	C₂²×C₁₃	1	1	yes	characteristic
881	#492	C₂²×C₁₃	1	1	yes	characteristic
882	#491	C₂²×C₁₃	1	1	yes	characteristic
883	#490	C₂²×C₁₃	1	1	yes	characteristic
884	#490	C₂²×C₁₃	1	1	yes	characteristic
885	#489	C₂²×C₁₃	1	1	yes	characteristic
886	#488	C₂²×C₁₃	1	1	yes	characteristic
887	#486	C₂²×C₁₃	1	1	yes	characteristic
888	#485	C₂²×C₁₃	1	1	yes	characteristic
889	#484	C₂²×C₁₃	1	1	yes	characteristic
890	#484	C₂²×C₁₃	1	1	yes	characteristic
891	#483	C₂²×C₁₃	1	1	yes	characteristic
892	#482	C₂²×C₁₃	1	1	yes	characteristic
893	#482	C₂²×C₁₃	1	1	yes	characteristic
894	#482	C₂²×C₁₃	1	1	yes	characteristic
895	#481	C₂²×C₁₃	1	1	yes	characteristic
896	#480	C₂²×C₁₃	1	1	yes	characteristic
897	#480	C₂²×C₁₃	1	1	yes	characteristic
898	#480	C₂²×C₁₃	1	1	yes	characteristic
899	#480	C₂²×C₁₃	1	1	yes	characteristic
900	#479	C₂²×C₁₃	1	1	yes	characteristic
901	#479	C₂²×C₁₃	1	1	yes	characteristic
902	#479	C₂²×C₁₃	1	1	yes	characteristic
903	#479	C₂²×C₁₃	1	1	yes	characteristic
904	#479	C₂²×C₁₃	1	1	yes	characteristic
905	#478	C₂²×C₁₃	1	1	yes	characteristic
906	#478	C₂²×C₁₃	1	1	yes	characteristic
907	#478	C₂²×C₁₃	1	1	yes	characteristic
908	#477	C₂²×C₁₃	1	1	yes	characteristic
909	#477	C₂²×C₁₃	1	1	yes	characteristic
910	#477	C₂²×C₁₃	1	1	yes	characteristic
911	#474	C₂²×C₁₃	1	1	yes	characteristic
912	#469	C₂²×C₁₃	1	1	yes	characteristic
913	#469	C₂²×C₁₃	1	1	yes	characteristic
914	#469	C₂²×C₁₃	1	1	yes	characteristic
915	#468	C₂²×C₁₃	1	1	yes	characteristic
916	#468	C₂²×C₁₃	1	1	yes	characteristic
917	#468	C₂²×C₁₃	1	1	yes	characteristic
918	#468	C₂²×C₁₃	1	1	yes	characteristic
919	#468	C₂²×C₁₃	1	1	yes	characteristic
920	#466	C₂²×C₁₃	1	1	yes	characteristic
921	#465	C₂²×C₁₃	1	1	yes	characteristic
922	#465	C₂²×C₁₃	1	1	yes	characteristic
923	#465	C₂²×C₁₃	1	1	yes	characteristic
924	#464	C₂²×C₁₃	1	1	yes	characteristic
925	#464	C₂²×C₁₃	1	1	yes	characteristic
926	#463	C₂²×C₁₃	1	1	yes	characteristic
927	#463	C₂²×C₁₃	1	1	yes	characteristic
928	#462	C₂²×C₁₃	1	1	yes	characteristic
929	#461	C₂²×C₁₃	1	1	yes	characteristic
930	#460	C₂²×C₁₃	1	1	yes	characteristic
931	#460	C₂²×C₁₃	1	1	yes	characteristic
932	#460	C₂²×C₁₃	1	1	yes	characteristic
933	#460	C₂²×C₁₃	1	1	yes	characteristic
934	#460	C₂²×C₁₃	1	1	yes	characteristic
935	#459	C₂²×C₁₃	1	1	yes	characteristic
936	#452	C₂²×C₁₃	1	1	yes	characteristic
937	#452	C₂²×C₁₃	1	1	yes	characteristic
938	#452	C₂²×C₁₃	1	1	yes	characteristic
939	#452	C₂²×C₁₃	1	1	yes	characteristic
940	#449	C₂²×C₁₃	1	1	yes	characteristic
941	#449	C₂²×C₁₃	1	1	yes	characteristic
942	#449	C₂²×C₁₃	1	1	yes	characteristic
943	#449	C₂²×C₁₃	1	1	yes	characteristic
944	#448	C₂²×C₁₃	1	1	yes	characteristic
945	#448	C₂²×C₁₃	1	1	yes	characteristic
946	#448	C₂²×C₁₃	1	1	yes	characteristic
947	#448	C₂²×C₁₃	1	1	yes	characteristic
948	#446	C₂²×C₁₃	1	1	yes	characteristic
949	#446	C₂²×C₁₃	1	1	yes	characteristic
950	#442	C₂²×C₁₃	1	1	yes	characteristic
951	#441	C₂²×C₁₃	1	1	yes	characteristic
952	#441	C₂²×C₁₃	1	1	yes	characteristic
953	#441	C₂²×C₁₃	1	1	yes	characteristic
954	#441	C₂²×C₁₃	1	1	yes	characteristic
955	#440	C₂²×C₁₃	1	1	yes	characteristic
956	#440	C₂²×C₁₃	1	1	yes	characteristic
957	#440	C₂²×C₁₃	1	1	yes	characteristic
958	#440	C₂²×C₁₃	1	1	yes	characteristic
959	#440	C₂²×C₁₃	1	1	yes	characteristic
960	#440	C₂²×C₁₃	1	1	yes	characteristic
961	#440	C₂²×C₁₃	1	1	yes	characteristic
962	#440	C₂²×C₁₃	1	1	yes	characteristic
963	#440	C₂²×C₁₃	1	1	yes	characteristic
964	#440	C₂²×C₁₃	1	1	yes	characteristic
965	#440	C₂²×C₁₃	1	1	yes	characteristic
966	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
967	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
968	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
969	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
970	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
971	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
972	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
973	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
974	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
975	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
976	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
977	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
978	#436	C₂²×C₁₃	1	1	yes	characteristic
979	#436	C₂²×C₁₃	1	1	yes	characteristic
980	#435	C₂²×C₁₃	1	1	yes	characteristic
981	#435	C₂²×C₁₃	1	1	yes	characteristic
982	#435	C₂²×C₁₃	1	1	yes	characteristic
983	#435	C₂²×C₁₃	1	1	yes	characteristic
984	#433	C₂²×C₁₃	1	1	yes	characteristic
985	#433	C₂²×C₁₃	1	1	yes	characteristic
986	#432	C₂²×C₁₃	1	1	yes	characteristic
987	#428	C₂²×C₁₃	1	1	yes	characteristic
988	#428	C₂²×C₁₃	1	1	yes	characteristic
989	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
990	#419	C₂²×C₁₃	1	1	yes	characteristic
991	#417	C₂²×C₁₃	1	1	yes	characteristic
992	#417	C₂²×C₁₃	1	1	yes	characteristic
993	#417	C₂²×C₁₃	1	1	yes	characteristic
994	#416	C₂²×C₁₃	1	1	yes	characteristic
995	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
996	#405	C₂²×C₁₃	1	1	yes	characteristic
997	#405	C₂²×C₁₃	1	1	yes	characteristic
998	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
999	C₂²×C₁₃	—	2	1	no	—
1000	C₂²×C₁₃	—	2	1	no	—
1001	C₂²×C₁₃	—	2	1	no	—
1002	C₂²×C₁₃	—	2	1	no	—
1003	C₂²×C₁₃	—	2	1	no	—
1004	C₂²×C₁₃	—	2	1	no	—
1005	C₂²×C₁₃	—	2	1	no	—
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	2	1	no	—
1008	C₂²×C₁₃	—	4	1	no	—
1009	C₂²×C₁₃	—	4	1	no	—
1010	C₂²×C₁₃	—	4	1	no	—
1011	C₂²×C₁₃	—	4	1	no	—
1012	C₂²×C₁₃	—	4	1	no	—
1013	C₂²×C₁₃	—	4	1	no	—
1014	C₂²×C₁₃	—	4	1	no	—
1015	C₂²×C₁₃	—	4	1	no	—
1016	C₂²×C₁₃	—	4	1	no	—
1017	C₂²×C₁₃	—	4	1	no	—
1018	C₂²×C₁₃	—	4	1	no	—
1019	C₂²×C₁₃	—	4	1	no	—
1020	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1021	C₄×C₁₃	—	2	1	no	—
1022	C₄×C₁₃	—	2	1	no	—
1023	C₄×C₁₃	—	2	1	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	2	1	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	2	no	—
1033	C₄×C₁₃	—	2	2	no	—
1034	C₄×C₁₃	—	4	1	no	—
1035	C₄×C₁₃	—	4	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	4	1	no	—
1039	C₄×C₁₃	—	4	1	no	—
1040	C₄×C₁₃	—	4	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1045	C₄×C₁₃	#585	1	1	yes	characteristic
1046	C₂×#41	—	2	1	no	—
1047	C₂×#41	—	2	1	no	—
1048	C₂×#41	—	2	1	no	—
1049	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1055	#137	—	2	4	no	—
1056	#137	—	2	4	no	—
1057	#135	—	2	4	no	—
1058	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1073	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1074	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1075	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1076	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1077	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1078	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1080	C₄⋊Q₈	—	2	1	no	—
1081	C₄⋊Q₈	—	2	1	no	—
1082	C₄⋊Q₈	—	2	1	no	—
1083	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1084	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1085	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1086	#127	—	2	1	no	—
1087	#127	—	2	1	no	—
1088	#127	—	2	1	no	—
1089	#127	C₂³×C₁₃	1	1	yes	characteristic
1090	#127	C₂³×C₁₃	1	1	yes	characteristic
1091	#127	C₂³×C₁₃	1	1	yes	characteristic
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	D₄×C₁₃	1	1	yes	characteristic
1103	#126	D₄×C₁₃	1	1	yes	characteristic
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	D₄×C₁₃	1	1	yes	characteristic
1113	#125	C₂³×C₁₃	1	1	yes	characteristic
1114	#125	C₂³×C₁₃	1	1	yes	characteristic
1115	#125	C₂³×C₁₃	1	1	yes	characteristic
1116	#125	C₂³×C₁₃	1	1	yes	characteristic
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	D₄×C₁₃	1	1	yes	characteristic
1122	#124	C₂³×C₁₃	1	1	yes	characteristic
1123	#124	C₂³×C₁₃	1	1	yes	characteristic
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	D₄×C₁₃	1	1	yes	characteristic
1137	#123	D₄×C₁₃	1	1	yes	characteristic
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	D₄×C₁₃	1	1	yes	characteristic
1172	#121	C₂³×C₁₃	1	1	yes	characteristic
1173	#121	C₂³×C₁₃	1	1	yes	characteristic
1174	#121	C₂³×C₁₃	1	1	yes	characteristic
1175	#121	C₂³×C₁₃	1	1	yes	characteristic
1176	#121	C₂³×C₁₃	1	1	yes	characteristic
1177	#121	C₂³×C₁₃	1	1	yes	characteristic
1178	#121	C₂³×C₁₃	1	1	yes	characteristic
1179	#121	C₂³×C₁₃	1	1	yes	characteristic
1180	C₄×Q₈	—	2	1	no	—
1181	C₄×Q₈	—	2	1	no	—
1182	C₄×Q₈	—	2	1	no	—
1183	C₄×Q₈	—	2	1	no	—
1184	C₄×Q₈	—	2	1	no	—
1185	C₄×Q₈	—	2	1	no	—
1186	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1192	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1194	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1195	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1196	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1197	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1198	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1220	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1222	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1225	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1226	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	2	1	no	—
1236	#117	—	2	1	no	—
1237	#117	—	2	1	no	—
1238	#117	—	2	1	no	—
1239	#117	C₂³×C₁₃	1	1	yes	characteristic
1240	#117	C₂³×C₁₃	1	1	yes	characteristic
1241	#117	C₂³×C₁₃	1	1	yes	characteristic
1242	#117	C₂³×C₁₃	1	1	yes	characteristic
1243	C₂×C₄⋊C₄	—	2	1	no	—
1244	C₂×C₄⋊C₄	—	2	1	no	—
1245	C₂×C₄⋊C₄	—	2	1	no	—
1246	C₂×C₄⋊C₄	—	2	1	no	—
1247	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1248	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1249	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1250	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1251	C₂×C₄²	—	2	1	no	—
1252	C₂×C₄²	—	2	1	no	—
1253	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1254	#107	C₂³×C₁₃	1	1	yes	characteristic
1255	#107	C₂³×C₁₃	1	1	yes	characteristic
1256	#107	C₂³×C₁₃	1	1	yes	characteristic
1257	#107	C₂³×C₁₃	1	1	yes	characteristic
1258	#107	C₂³×C₁₃	1	1	yes	characteristic
1259	#107	C₂³×C₁₃	1	1	yes	characteristic
1260	#107	C₂³×C₁₃	1	1	yes	characteristic
1261	#107	C₂³×C₁₃	1	1	yes	characteristic
1262	#107	C₂³×C₁₃	1	1	yes	characteristic
1263	#107	C₂³×C₁₃	1	1	yes	characteristic
1264	#106	C₂³×C₁₃	1	1	yes	characteristic
1265	#106	C₂³×C₁₃	1	1	yes	characteristic
1266	#106	C₂³×C₁₃	1	1	yes	characteristic
1267	#106	C₂³×C₁₃	1	1	yes	characteristic
1268	#106	C₂³×C₁₃	1	1	yes	characteristic
1269	#106	C₂³×C₁₃	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1276	#103	C₂³×C₁₃	1	1	yes	characteristic
1277	#103	C₂³×C₁₃	1	1	yes	characteristic
1278	#103	C₂³×C₁₃	1	1	yes	characteristic
1279	#103	C₂³×C₁₃	1	1	yes	characteristic
1280	#103	C₂³×C₁₃	1	1	yes	characteristic
1281	#103	C₂³×C₁₃	1	1	yes	characteristic
1282	#103	C₂³×C₁₃	1	1	yes	characteristic
1283	#103	C₂³×C₁₃	1	1	yes	characteristic
1284	#103	C₂³×C₁₃	1	1	yes	characteristic
1285	#103	C₂³×C₁₃	1	1	yes	characteristic
1286	#103	C₂³×C₁₃	1	1	yes	characteristic
1287	#103	C₂³×C₁₃	1	1	yes	characteristic
1288	#103	C₂³×C₁₃	1	1	yes	characteristic
1289	#103	C₂³×C₁₃	1	1	yes	characteristic
1290	#103	C₂³×C₁₃	1	1	yes	characteristic
1291	#103	C₂³×C₁₃	1	1	yes	characteristic
1292	#102	C₂³×C₁₃	1	1	yes	characteristic
1293	#102	C₂³×C₁₃	1	1	yes	characteristic
1294	#102	C₂³×C₁₃	1	1	yes	characteristic
1295	#102	C₂³×C₁₃	1	1	yes	characteristic
1296	#102	C₂³×C₁₃	1	1	yes	characteristic
1297	#102	C₂³×C₁₃	1	1	yes	characteristic
1298	#102	C₂³×C₁₃	1	1	yes	characteristic
1299	#102	C₂³×C₁₃	1	1	yes	characteristic
1300	#102	C₂³×C₁₃	1	1	yes	characteristic
1301	#102	C₂³×C₁₃	1	1	yes	characteristic
1302	#102	C₂³×C₁₃	1	1	yes	characteristic
1303	#102	C₂³×C₁₃	1	1	yes	characteristic
1304	#102	C₂³×C₁₃	1	1	yes	characteristic
1305	#102	C₂³×C₁₃	1	1	yes	characteristic
1306	#102	C₂³×C₁₃	1	1	yes	characteristic
1307	#102	C₂³×C₁₃	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1314	#97	C₂³×C₁₃	1	1	yes	characteristic
1315	#97	C₂³×C₁₃	1	1	yes	characteristic
1316	#97	C₂³×C₁₃	1	1	yes	characteristic
1317	#97	C₂³×C₁₃	1	1	yes	characteristic
1318	#97	C₂³×C₁₃	1	1	yes	characteristic
1319	#97	C₂³×C₁₃	1	1	yes	characteristic
1320	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1321	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1322	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1323	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1324	C₂×C₁₃	—	4	1	no	—
1325	C₂×C₁₃	—	4	1	no	—
1326	C₂×C₁₃	—	4	1	no	—
1327	C₂×C₁₃	—	8	1	no	—
1328	C₂×C₁₃	—	8	1	no	—
1329	C₂×C₁₃	—	8	1	no	—
1330	C₂×C₁₃	—	8	1	no	—
1331	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1332	C₂×C₁₃	#3585	1	1	yes	characteristic
1333	C₂×C₁₃	#3586	1	1	yes	characteristic
1334	#41	—	2	2	no	—
1335	#41	—	2	2	no	—
1336	#41	—	2	2	no	—
1337	#41	—	2	2	no	—
1338	#41	—	4	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	8	2	no	—
1343	#41	—	8	2	no	—
1344	#41	—	8	2	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	2	no	—
1350	C₂×Q₈	—	2	2	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	—	4	1	no	—
1353	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1355	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1356	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1357	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1377	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1378	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1379	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1380	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1381	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1382	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1402	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1403	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1406	Q₁₆	—	2	2	no	—
1407	Q₁₆	—	2	2	no	—
1408	Q₁₆	C₁₃×#41	1	4	yes	complemented
1409	SD₁₆	—	2	2	no	—
1410	SD₁₆	—	2	2	no	—
1411	SD₁₆	—	2	2	no	—
1412	SD₁₆	—	2	2	no	—
1413	SD₁₆	—	2	2	no	—
1414	SD₁₆	—	2	2	no	—
1415	SD₁₆	—	4	1	no	—
1416	SD₁₆	—	4	1	no	—
1417	SD₁₆	—	4	1	no	—
1418	SD₁₆	—	4	1	no	—
1419	D₈	—	2	2	no	—
1420	D₈	—	4	1	no	—
1421	D₈	—	4	1	no	—
1422	M₁₆	—	2	2	no	—
1423	M₁₆	—	2	2	no	—
1424	M₁₆	—	4	1	no	—
1425	M₁₆	—	4	1	no	—
1426	C₂×C₈	—	2	2	no	—
1427	C₂×C₈	—	4	1	no	—
1428	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1434	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1435	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1470	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1473	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1479	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1480	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1481	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1482	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1483	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1484	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1485	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1537	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1538	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1539	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1540	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1541	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1542	C₁₃	#61515	1	1	yes	characteristic, direct product factor, Sylow
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1548	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1549	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	2	1	no	—
1556	Q₈	—	4	1	no	—
1557	Q₈	—	4	2	no	—
1558	Q₈	—	4	2	no	—
1559	Q₈	—	4	2	no	—
1560	Q₈	—	8	1	no	—
1561	Q₈	C₂×C₁₃×#41	1	2	yes	—
1562	Q₈	C₂×C₁₃×#41	1	2	yes	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	2	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	4	1	no	—
1572	D₄	—	4	1	no	—
1573	D₄	—	4	1	no	—
1574	D₄	—	4	2	no	—
1575	D₄	—	4	2	no	—
1576	D₄	—	4	2	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	4	2	no	—
1579	D₄	—	4	2	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	D₄	—	8	1	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	4	1	no	—
1611	C₂×C₄	—	4	1	no	—
1612	C₂×C₄	—	4	2	no	—
1613	C₂×C₄	—	4	2	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	4	2	no	—
1616	C₂×C₄	—	4	2	no	—
1617	C₂×C₄	—	4	2	no	—
1618	C₂×C₄	—	4	2	no	—
1619	C₂×C₄	—	8	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1631	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1632	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1634	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1641	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	C₂×C₁₃×#41	1	2	yes	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	2	2	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1696	C₄	C₁₃×#585	1	1	yes	characteristic
1697	C₂	—	4	1	no	—
1698	C₂	—	4	1	no	—
1699	C₂	—	4	1	no	—
1700	C₂	—	8	1	no	—
1701	C₂	—	8	1	no	—
1702	C₂	—	8	1	no	—
1703	C₂	—	8	1	no	—
1704	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1705	C₂	C₁₃×#3585	1	1	yes	characteristic
1706	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 ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3517	C₂	semidirect
2. C₁₃×#3516	C₂	semidirect
3. C₁₃×#3397	C₂	semidirect
4. C₁₃×#3390	C₂	semidirect
5. C₁₃×#3377	C₂	semidirect
6. C₁₃×#3368	C₂	semidirect
7. C₁₃×#3355	C₂	semidirect
8. C₁₃×#3346	C₂	semidirect
9. C₁₃×#3343	C₂	semidirect
10. C₁₃×#3333	C₂	semidirect
11. C₁₃×#3326	C₂	semidirect
12. C₁₃×#3320	C₂	semidirect
13. C₁₃×#3317	C₂	semidirect
14. C₁₃×#3309	C₂	semidirect
15. C₁₃×#3308	C₂	semidirect
16. C₁₃×#3278	C₂	semidirect
17. C₁₃×#3271	C₂	semidirect
18. C₁₃×#3271	C₂	semidirect
19. C₁₃×#3179	C₂	semidirect
20. C₁₃×#3174	C₂	semidirect
21. C₁₃×#3171	C₂	semidirect
22. C₁₃×#3126	C₂	semidirect
23. C₁₃×#3124	C₂	semidirect
24. C₁₃×#3120	C₂	semidirect
25. C₁₃×#3119	C₂	semidirect
26. C₁₃×#3112	C₂	semidirect
27. C₁₃×#3111	C₂	semidirect
28. C₁₃×#2967	C₂	semidirect
29. C₁₃×#2951	C₂	semidirect
30. C₁₃×#2947	C₂	semidirect
31. C₄×C₁₃×#137	C₂	semidirect
481. #61515	C₁₃	direct (N × H)
556. C₁₃×Q₁₆	#41	semidirect
690. #3517	C₂×C₁₃	semidirect
691. #3516	C₂×C₁₃	semidirect
692. #3397	C₂×C₁₃	semidirect
693. #3390	C₂×C₁₃	semidirect
694. #3377	C₂×C₁₃	semidirect
695. #3368	C₂×C₁₃	semidirect
696. #3355	C₂×C₁₃	semidirect
697. #3346	C₂×C₁₃	semidirect
698. #3343	C₂×C₁₃	semidirect
699. #3333	C₂×C₁₃	semidirect
700. #3326	C₂×C₁₃	semidirect
701. #3320	C₂×C₁₃	semidirect
702. #3317	C₂×C₁₃	semidirect
703. #3309	C₂×C₁₃	semidirect
704. #3308	C₂×C₁₃	semidirect
705. #3278	C₂×C₁₃	semidirect
706. #3271	C₂×C₁₃	semidirect
707. #3271	C₂×C₁₃	semidirect
708. #3179	C₂×C₁₃	semidirect
709. #3174	C₂×C₁₃	semidirect
710. #3171	C₂×C₁₃	semidirect
711. #3126	C₂×C₁₃	semidirect
712. #3124	C₂×C₁₃	semidirect
713. #3120	C₂×C₁₃	semidirect
714. #3119	C₂×C₁₃	semidirect
715. #3112	C₂×C₁₃	semidirect
716. #3111	C₂×C₁₃	semidirect
717. #2967	C₂×C₁₃	semidirect
718. #2951	C₂×C₁₃	semidirect
719. #2947	C₂×C₁₃	semidirect
720. C₄×#137	C₂×C₁₃	semidirect
1408. Q₁₆	C₁₃×#41	semidirect
1542. C₁₃	#61515	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×#3517	2
C₁₃×#3516	2
C₁₃×#3397	2
C₁₃×#3390	2
C₁₃×#3377	2
C₁₃×#3368	2
C₁₃×#3355	2
C₁₃×#3346	2
C₁₃×#3343	2
C₁₃×#3333	2
C₁₃×#3326	2
C₁₃×#3320	2
C₁₃×#3317	2
C₁₃×#3309	2
C₁₃×#3308	2
C₁₃×#3278	2
C₁₃×#3271	2
C₁₃×#3179	2
C₁₃×#3174	2
C₁₃×#3171	2
C₁₃×#3126	2
C₁₃×#3124	2
C₁₃×#3120	2
C₁₃×#3119	2
C₁₃×#3112	2
C₁₃×#3111	2
C₁₃×#2967	2
C₁₃×#2951	2
C₁₃×#2947	2
C₄×C₁₃×#137	2
#61515	13

Subgroups — C13×#61515 #15747854

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61515 #15747854