Subgroups — C₁₃×#61925 #15748264

Order 3328.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3402	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3401	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3401	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3393	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3224	C₂	1	1	yes	maximal, characteristic
21	C₁₃×#3223	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3222	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#563	—	2	1	no	—
33	C₁₃×#563	—	2	1	no	—
34	C₁₃×#559	C₂²	1	1	yes	characteristic
35	C₁₃×#559	C₂²	1	1	yes	characteristic
36	C₁₃×#559	C₂²	1	1	yes	characteristic
37	C₁₃×#559	C₂²	1	1	yes	characteristic
38	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#556	—	2	1	no	—
43	C₁₃×#556	C₂²	1	1	yes	characteristic
44	C₁₃×#556	C₂²	1	1	yes	characteristic
45	C₁₃×#556	C₂²	1	1	yes	characteristic
46	C₁₃×#556	C₂²	1	1	yes	characteristic
47	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#552	—	2	1	no	—
52	C₁₃×#551	—	2	1	no	—
53	C₁₃×#551	—	2	1	no	—
54	C₁₃×#551	—	2	1	no	—
55	C₁₃×#551	—	2	1	no	—
56	C₁₃×#544	—	2	1	no	—
57	C₁₃×#542	—	2	1	no	—
58	C₁₃×#542	—	2	1	no	—
59	C₁₃×#542	C₂²	1	1	yes	characteristic
60	C₁₃×#542	C₂²	1	1	yes	characteristic
61	C₁₃×#541	—	2	1	no	—
62	C₁₃×#541	—	2	1	no	—
63	C₁₃×#541	—	2	1	no	—
64	C₁₃×#541	C₂²	1	1	yes	characteristic
65	C₁₃×#541	C₂²	1	1	yes	characteristic
66	C₁₃×#536	C₂²	1	1	yes	characteristic
67	C₁₃×#535	C₂²	1	1	yes	characteristic
68	C₁₃×#533	C₂²	1	1	yes	characteristic
69	C₁₃×#533	C₂²	1	1	yes	characteristic
70	C₁₃×#529	—	2	1	no	—
71	C₁₃×#529	—	2	1	no	—
72	C₁₃×#529	C₂²	1	1	yes	characteristic
73	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
74	C₁₃×#519	C₂²	1	1	yes	characteristic
75	C₁₃×#518	C₂²	1	1	yes	characteristic
76	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
77	C₁₃×#497	C₂²	1	1	yes	characteristic
78	C₁₃×#497	C₂²	1	1	yes	characteristic
79	C₁₃×#497	C₂²	1	1	yes	characteristic
80	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#496	C₂²	1	1	yes	characteristic
83	C₁₃×#495	C₂²	1	1	yes	characteristic
84	C₁₃×#495	C₂²	1	1	yes	characteristic
85	C₁₃×#495	C₂²	1	1	yes	characteristic
86	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#494	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#492	C₂²	1	1	yes	characteristic
89	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#490	C₂²	1	1	yes	characteristic
91	C₁₃×#489	C₂²	1	1	yes	characteristic
92	C₁₃×#489	C₂²	1	1	yes	characteristic
93	C₁₃×#489	C₂²	1	1	yes	characteristic
94	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#488	C₂²	1	1	yes	characteristic
96	C₁₃×#488	C₂²	1	1	yes	characteristic
97	C₁₃×#488	C₂²	1	1	yes	characteristic
98	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#486	C₂²	1	1	yes	characteristic
101	C₁₃×#485	C₂²	1	1	yes	characteristic
102	C₁₃×#485	C₂²	1	1	yes	characteristic
103	C₁₃×#485	C₂²	1	1	yes	characteristic
104	C₁₃×#482	C₂²	1	1	yes	characteristic
105	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#478	C₂²	1	1	yes	characteristic
109	C₁₃×#478	C₂²	1	1	yes	characteristic
110	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#476	C₂²	1	1	yes	characteristic
113	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#474	C₂²	1	1	yes	characteristic
116	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#464	C₂²	1	1	yes	characteristic
118	C₁₃×#464	C₂²	1	1	yes	characteristic
119	C₁₃×#464	C₂²	1	1	yes	characteristic
120	C₁₃×#464	C₂²	1	1	yes	characteristic
121	C₁₃×#464	C₂²	1	1	yes	characteristic
122	C₁₃×#464	C₂²	1	1	yes	characteristic
123	C₁₃×#464	C₂²	1	1	yes	characteristic
124	C₁₃×#464	C₂²	1	1	yes	characteristic
125	C₁₃×#464	C₂²	1	1	yes	characteristic
126	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#463	C₂²	1	1	yes	characteristic
133	C₁₃×#463	C₂²	1	1	yes	characteristic
134	C₁₃×#463	C₂²	1	1	yes	characteristic
135	C₁₃×#463	C₂²	1	1	yes	characteristic
136	C₁₃×#463	C₂²	1	1	yes	characteristic
137	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#461	C₂²	1	1	yes	characteristic
146	C₁₃×#461	C₂²	1	1	yes	characteristic
147	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#460	C₂²	1	1	yes	characteristic
150	C₁₃×#460	C₂²	1	1	yes	characteristic
151	C₁₃×#460	C₂²	1	1	yes	characteristic
152	C₁₃×#459	C₂²	1	1	yes	characteristic
153	C₁₃×#452	C₂²	1	1	yes	characteristic
154	C₁₃×#452	C₂²	1	1	yes	characteristic
155	C₁₃×#452	C₂²	1	1	yes	characteristic
156	C₁₃×#451	C₂²	1	1	yes	characteristic
157	C₁₃×#451	C₂²	1	1	yes	characteristic
158	C₁₃×#451	C₂²	1	1	yes	characteristic
159	C₁₃×#450	C₂²	1	1	yes	characteristic
160	C₁₃×#450	C₂²	1	1	yes	characteristic
161	C₁₃×#450	C₂²	1	1	yes	characteristic
162	C₁₃×#449	C₂²	1	1	yes	characteristic
163	C₁₃×#448	C₂²	1	1	yes	characteristic
164	C₁₃×#447	C₂²	1	1	yes	characteristic
165	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
171	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
172	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
173	C₁₃×#442	C₂²	1	1	yes	characteristic
174	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
175	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
177	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
178	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
179	C₁₃×#440	C₂²	1	1	yes	characteristic
180	C₁₃×#440	C₂²	1	1	yes	characteristic
181	C₁₃×#440	C₂²	1	1	yes	characteristic
182	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
183	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
184	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
189	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
190	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
191	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
192	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
193	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
194	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
195	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
196	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
197	C₁₃×#433	C₂²	1	1	yes	characteristic
198	C₁₃×#433	C₂²	1	1	yes	characteristic
199	C₁₃×#433	C₂²	1	1	yes	characteristic
200	C₁₃×#433	C₂²	1	1	yes	characteristic
201	C₁₃×#432	C₂²	1	1	yes	characteristic
202	C₁₃×#431	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×SD₁₆	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×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
230	C₁₃×C₄⋊Q₈	—	2	1	no	—
231	C₁₃×C₄⋊Q₈	—	2	1	no	—
232	C₁₃×C₄⋊Q₈	—	2	1	no	—
233	C₁₃×C₄⋊Q₈	—	2	1	no	—
234	C₁₃×C₄⋊Q₈	—	2	1	no	—
235	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×#127	C₂³	1	1	yes	characteristic
246	C₁₃×#127	C₂³	1	1	yes	characteristic
247	C₁₃×#126	—	2	1	no	—
248	C₁₃×#126	—	2	1	no	—
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	—	2	1	no	—
260	C₁₃×#126	—	2	1	no	—
261	C₁₃×#126	—	2	1	no	—
262	C₁₃×#126	—	2	1	no	—
263	C₁₃×#126	—	2	1	no	—
264	C₁₃×#126	—	2	1	no	—
265	C₁₃×#126	—	2	1	no	—
266	C₁₃×#126	—	2	1	no	—
267	C₁₃×#126	—	2	1	no	—
268	C₁₃×#125	—	2	1	no	—
269	C₁₃×#125	—	2	1	no	—
270	C₁₃×#125	—	2	1	no	—
271	C₁₃×#125	—	2	1	no	—
272	C₁₃×#125	—	2	1	no	—
273	C₁₃×#125	—	2	1	no	—
274	C₁₃×#125	—	2	1	no	—
275	C₁₃×#125	—	2	1	no	—
276	C₁₃×#125	—	2	1	no	—
277	C₁₃×#125	—	2	1	no	—
278	C₁₃×#125	—	2	1	no	—
279	C₁₃×#125	—	2	1	no	—
280	C₁₃×#125	D₄	1	1	yes	characteristic
281	C₁₃×#125	D₄	1	1	yes	characteristic
282	C₁₃×#125	C₂³	1	1	yes	characteristic
283	C₁₃×#125	C₂³	1	1	yes	characteristic
284	C₁₃×#125	C₂³	1	1	yes	characteristic
285	C₁₃×#124	—	2	1	no	—
286	C₁₃×#124	—	2	1	no	—
287	C₁₃×#124	—	2	1	no	—
288	C₁₃×#124	—	2	1	no	—
289	C₁₃×#124	—	2	1	no	—
290	C₁₃×#124	—	2	1	no	—
291	C₁₃×#124	—	2	1	no	—
292	C₁₃×#124	—	2	1	no	—
293	C₁₃×#124	C₂³	1	1	yes	characteristic
294	C₁₃×#124	C₂³	1	1	yes	characteristic
295	C₁₃×#124	C₂³	1	1	yes	characteristic
296	C₁₃×#124	C₂³	1	1	yes	characteristic
297	C₁₃×#124	C₂³	1	1	yes	characteristic
298	C₁₃×#124	C₂³	1	1	yes	characteristic
299	C₁₃×#124	C₂³	1	1	yes	characteristic
300	C₁₃×#124	C₂³	1	1	yes	characteristic
301	C₁₃×#124	C₂³	1	1	yes	characteristic
302	C₁₃×#124	C₂³	1	1	yes	characteristic
303	C₁₃×#124	C₂³	1	1	yes	characteristic
304	C₁₃×#123	—	2	1	no	—
305	C₁₃×#123	—	2	1	no	—
306	C₁₃×#123	—	2	1	no	—
307	C₁₃×#123	—	2	1	no	—
308	C₁₃×#123	—	2	1	no	—
309	C₁₃×#123	—	2	1	no	—
310	C₁₃×#123	—	2	1	no	—
311	C₁₃×#123	—	2	1	no	—
312	C₁₃×#123	—	2	1	no	—
313	C₁₃×#123	—	2	1	no	—
314	C₁₃×#123	—	2	1	no	—
315	C₁₃×#123	—	2	1	no	—
316	C₁₃×#123	—	2	1	no	—
317	C₁₃×C₂²⋊Q₈	—	2	1	no	—
318	C₁₃×C₂²⋊Q₈	—	2	1	no	—
319	C₁₃×C₂²⋊Q₈	—	2	1	no	—
320	C₁₃×C₂²⋊Q₈	—	2	1	no	—
321	C₁₃×C₂²⋊Q₈	—	2	1	no	—
322	C₁₃×C₂²⋊Q₈	—	2	1	no	—
323	C₁₃×C₂²⋊Q₈	—	2	1	no	—
324	C₁₃×C₂²⋊Q₈	—	2	1	no	—
325	C₁₃×C₂²⋊Q₈	—	2	1	no	—
326	C₁₃×C₂²⋊Q₈	—	2	1	no	—
327	C₁₃×C₂²⋊Q₈	—	2	1	no	—
328	C₁₃×C₂²⋊Q₈	—	2	1	no	—
329	C₁₃×C₂²⋊Q₈	—	2	1	no	—
330	C₁₃×C₂²⋊Q₈	—	2	1	no	—
331	C₁₃×C₂²⋊Q₈	—	2	1	no	—
332	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
333	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
334	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
335	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
336	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₁₃×#121	—	2	1	no	—
340	C₁₃×#121	—	2	1	no	—
341	C₁₃×#121	C₂³	1	1	yes	characteristic
342	C₁₃×#120	—	2	1	no	—
343	C₁₃×#120	—	2	1	no	—
344	C₄×Q₈×C₁₃	—	2	1	no	—
345	C₄×Q₈×C₁₃	—	2	1	no	—
346	C₄×Q₈×C₁₃	—	2	1	no	—
347	C₄×Q₈×C₁₃	—	2	1	no	—
348	C₄×Q₈×C₁₃	—	2	1	no	—
349	C₄×Q₈×C₁₃	—	2	1	no	—
350	C₄×Q₈×C₁₃	—	2	1	no	—
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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
357	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
358	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
359	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
360	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
361	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
363	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
364	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
365	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
377	C₄×D₄×C₁₃	—	2	1	no	—
378	C₄×D₄×C₁₃	—	2	1	no	—
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	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
397	C₁₃×#117	—	2	1	no	—
398	C₁₃×#117	—	2	1	no	—
399	C₁₃×#117	—	2	1	no	—
400	C₁₃×#117	C₂³	1	1	yes	characteristic
401	C₁₃×#117	C₂³	1	1	yes	characteristic
402	C₁₃×#117	C₂³	1	1	yes	characteristic
403	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
405	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
406	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
407	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
408	C₂×C₄²×C₁₃	—	2	1	no	—
409	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
410	C₁₃×#107	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×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×#106	C₂³	1	1	yes	characteristic
417	C₁₃×#106	C₂³	1	1	yes	characteristic
418	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	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×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×#97	C₂³	1	1	yes	characteristic
467	C₁₃×#97	C₂³	1	1	yes	characteristic
468	C₁₃×#97	C₂³	1	1	yes	characteristic
469	C₁₃×#97	C₂³	1	1	yes	characteristic
470	C₁₃×#97	C₂³	1	1	yes	characteristic
471	C₁₃×#97	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	#61925	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₁₃×#41	—	4	1	no	—
481	C₁₃×#41	—	4	1	no	—
482	C₂×Q₈×C₁₃	—	2	1	no	—
483	C₂×Q₈×C₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	—	4	1	no	—
487	C₂×Q₈×C₁₃	—	4	1	no	—
488	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
489	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	4	1	no	—
506	C₂×D₄×C₁₃	—	4	1	no	—
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
523	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₁₃×Q₁₆	—	4	1	no	—
526	C₁₃×Q₁₆	—	4	1	no	—
527	C₁₃×Q₁₆	—	4	1	no	—
528	C₁₃×Q₁₆	—	4	1	no	—
529	C₁₃×Q₁₆	—	4	1	no	—
530	C₁₃×Q₁₆	—	4	1	no	—
531	C₁₃×Q₁₆	—	4	1	no	—
532	C₁₃×Q₁₆	—	4	1	no	—
533	C₁₃×Q₁₆	—	4	1	no	—
534	C₁₃×SD₁₆	—	4	1	no	—
535	C₁₃×SD₁₆	—	4	1	no	—
536	C₁₃×SD₁₆	—	4	1	no	—
537	C₁₃×SD₁₆	—	4	1	no	—
538	C₁₃×SD₁₆	—	4	1	no	—
539	C₁₃×SD₁₆	—	4	1	no	—
540	C₁₃×SD₁₆	—	4	1	no	—
541	C₁₃×SD₁₆	—	4	1	no	—
542	C₁₃×SD₁₆	—	4	1	no	—
543	C₁₃×SD₁₆	—	4	1	no	—
544	C₁₃×SD₁₆	—	4	1	no	—
545	C₁₃×SD₁₆	—	4	1	no	—
546	C₁₃×D₈	—	4	1	no	—
547	C₁₃×D₈	—	4	1	no	—
548	C₁₃×D₈	—	4	1	no	—
549	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	—	2	1	no	—
576	C₁₃×C₄⋊C₄	—	2	1	no	—
577	C₁₃×C₄⋊C₄	—	2	1	no	—
578	C₁₃×C₄⋊C₄	—	2	1	no	—
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
653	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₄²×C₁₃	—	2	1	no	—
657	C₄²×C₁₃	—	2	1	no	—
658	C₄²×C₁₃	—	2	1	no	—
659	C₄²×C₁₃	—	2	1	no	—
660	C₄²×C₁₃	—	2	1	no	—
661	C₄²×C₁₃	—	2	1	no	—
662	C₄²×C₁₃	—	2	1	no	—
663	C₄²×C₁₃	—	2	1	no	—
664	C₄²×C₁₃	—	2	1	no	—
665	C₄²×C₁₃	—	2	1	no	—
666	C₄²×C₁₃	—	2	1	no	—
667	C₄²×C₁₃	—	2	1	no	—
668	C₄²×C₁₃	—	2	1	no	—
669	C₄²×C₁₃	—	2	1	no	—
670	C₄²×C₁₃	—	2	1	no	—
671	C₄²×C₁₃	—	2	1	no	—
672	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
674	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
675	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
676	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
677	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
678	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
679	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
680	#3555	C₂×C₁₃	1	1	yes	characteristic, complemented
681	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
682	#3402	C₂×C₁₃	1	1	yes	characteristic, complemented
683	#3402	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3401	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3401	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3393	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3371	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3365	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3224	C₂×C₁₃	1	1	yes	characteristic
700	#3223	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3222	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3127	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3123	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
711	C₂³×C₁₃	—	2	1	no	—
712	C₂³×C₁₃	—	2	1	no	—
713	C₂³×C₁₃	—	2	1	no	—
714	C₂³×C₁₃	—	2	1	no	—
715	C₂³×C₁₃	—	4	2	no	—
716	C₂³×C₁₃	—	8	1	no	—
717	C₂³×C₁₃	—	8	1	no	—
718	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
719	Q₈×C₁₃	—	2	1	no	—
720	Q₈×C₁₃	—	2	1	no	—
721	Q₈×C₁₃	—	2	1	no	—
722	Q₈×C₁₃	—	2	1	no	—
723	Q₈×C₁₃	—	2	1	no	—
724	Q₈×C₁₃	—	2	1	no	—
725	Q₈×C₁₃	—	2	1	no	—
726	Q₈×C₁₃	—	2	1	no	—
727	Q₈×C₁₃	—	2	1	no	—
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	4	1	no	—
732	Q₈×C₁₃	—	4	1	no	—
733	Q₈×C₁₃	—	4	1	no	—
734	Q₈×C₁₃	—	4	1	no	—
735	Q₈×C₁₃	—	4	2	no	—
736	Q₈×C₁₃	—	8	1	no	—
737	Q₈×C₁₃	—	8	1	no	—
738	Q₈×C₁₃	—	8	1	no	—
739	D₄×C₁₃	—	2	1	no	—
740	D₄×C₁₃	—	2	1	no	—
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	—	4	2	no	—
748	D₄×C₁₃	—	4	2	no	—
749	D₄×C₁₃	—	8	1	no	—
750	D₄×C₁₃	—	8	1	no	—
751	D₄×C₁₃	—	8	1	no	—
752	D₄×C₁₃	—	8	1	no	—
753	D₄×C₁₃	—	8	1	no	—
754	C₂×C₄×C₁₃	—	2	1	no	—
755	C₂×C₄×C₁₃	—	2	1	no	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	1	no	—
758	C₂×C₄×C₁₃	—	2	1	no	—
759	C₂×C₄×C₁₃	—	2	1	no	—
760	C₂×C₄×C₁₃	—	2	1	no	—
761	C₂×C₄×C₁₃	—	2	1	no	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	4	1	no	—
769	C₂×C₄×C₁₃	—	4	1	no	—
770	C₂×C₄×C₁₃	—	4	2	no	—
771	C₂×C₄×C₁₃	—	4	2	no	—
772	C₂×C₄×C₁₃	—	4	2	no	—
773	C₂×C₄×C₁₃	—	8	1	no	—
774	C₂×C₄×C₁₃	—	8	1	no	—
775	C₂×C₄×C₁₃	—	8	1	no	—
776	C₂×C₄×C₁₃	—	8	1	no	—
777	C₂×C₄×C₁₃	—	8	1	no	—
778	C₂×C₄×C₁₃	—	8	1	no	—
779	C₂×C₄×C₁₃	—	8	1	no	—
780	C₂×C₄×C₁₃	—	8	1	no	—
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
795	C₈×C₁₃	—	2	1	no	—
796	C₈×C₁₃	—	2	1	no	—
797	C₈×C₁₃	—	2	1	no	—
798	C₈×C₁₃	—	2	1	no	—
799	C₈×C₁₃	—	2	1	no	—
800	C₈×C₁₃	—	2	1	no	—
801	C₈×C₁₃	—	2	1	no	—
802	C₈×C₁₃	—	2	1	no	—
803	#563	—	2	1	no	—
804	#563	—	2	1	no	—
805	#559	C₂²×C₁₃	1	1	yes	characteristic
806	#559	C₂²×C₁₃	1	1	yes	characteristic
807	#559	C₂²×C₁₃	1	1	yes	characteristic
808	#559	C₂²×C₁₃	1	1	yes	characteristic
809	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
810	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
811	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
812	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
813	#556	—	2	1	no	—
814	#556	C₂²×C₁₃	1	1	yes	characteristic
815	#556	C₂²×C₁₃	1	1	yes	characteristic
816	#556	C₂²×C₁₃	1	1	yes	characteristic
817	#556	C₂²×C₁₃	1	1	yes	characteristic
818	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
819	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
820	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
821	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
822	#552	—	2	1	no	—
823	#551	—	2	1	no	—
824	#551	—	2	1	no	—
825	#551	—	2	1	no	—
826	#551	—	2	1	no	—
827	#544	—	2	1	no	—
828	#542	—	2	1	no	—
829	#542	—	2	1	no	—
830	#542	C₂²×C₁₃	1	1	yes	characteristic
831	#542	C₂²×C₁₃	1	1	yes	characteristic
832	#541	—	2	1	no	—
833	#541	—	2	1	no	—
834	#541	—	2	1	no	—
835	#541	C₂²×C₁₃	1	1	yes	characteristic
836	#541	C₂²×C₁₃	1	1	yes	characteristic
837	#536	C₂²×C₁₃	1	1	yes	characteristic
838	#535	C₂²×C₁₃	1	1	yes	characteristic
839	#533	C₂²×C₁₃	1	1	yes	characteristic
840	#533	C₂²×C₁₃	1	1	yes	characteristic
841	#529	—	2	1	no	—
842	#529	—	2	1	no	—
843	#529	C₂²×C₁₃	1	1	yes	characteristic
844	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
845	#519	C₂²×C₁₃	1	1	yes	characteristic
846	#518	C₂²×C₁₃	1	1	yes	characteristic
847	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
848	#497	C₂²×C₁₃	1	1	yes	characteristic
849	#497	C₂²×C₁₃	1	1	yes	characteristic
850	#497	C₂²×C₁₃	1	1	yes	characteristic
851	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#496	C₂²×C₁₃	1	1	yes	characteristic
854	#495	C₂²×C₁₃	1	1	yes	characteristic
855	#495	C₂²×C₁₃	1	1	yes	characteristic
856	#495	C₂²×C₁₃	1	1	yes	characteristic
857	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	#494	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#492	C₂²×C₁₃	1	1	yes	characteristic
860	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
861	#490	C₂²×C₁₃	1	1	yes	characteristic
862	#489	C₂²×C₁₃	1	1	yes	characteristic
863	#489	C₂²×C₁₃	1	1	yes	characteristic
864	#489	C₂²×C₁₃	1	1	yes	characteristic
865	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	#488	C₂²×C₁₃	1	1	yes	characteristic
867	#488	C₂²×C₁₃	1	1	yes	characteristic
868	#488	C₂²×C₁₃	1	1	yes	characteristic
869	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
870	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#486	C₂²×C₁₃	1	1	yes	characteristic
872	#485	C₂²×C₁₃	1	1	yes	characteristic
873	#485	C₂²×C₁₃	1	1	yes	characteristic
874	#485	C₂²×C₁₃	1	1	yes	characteristic
875	#482	C₂²×C₁₃	1	1	yes	characteristic
876	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
879	#478	C₂²×C₁₃	1	1	yes	characteristic
880	#478	C₂²×C₁₃	1	1	yes	characteristic
881	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#476	C₂²×C₁₃	1	1	yes	characteristic
884	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#474	C₂²×C₁₃	1	1	yes	characteristic
887	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#464	C₂²×C₁₃	1	1	yes	characteristic
889	#464	C₂²×C₁₃	1	1	yes	characteristic
890	#464	C₂²×C₁₃	1	1	yes	characteristic
891	#464	C₂²×C₁₃	1	1	yes	characteristic
892	#464	C₂²×C₁₃	1	1	yes	characteristic
893	#464	C₂²×C₁₃	1	1	yes	characteristic
894	#464	C₂²×C₁₃	1	1	yes	characteristic
895	#464	C₂²×C₁₃	1	1	yes	characteristic
896	#464	C₂²×C₁₃	1	1	yes	characteristic
897	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
902	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#463	C₂²×C₁₃	1	1	yes	characteristic
904	#463	C₂²×C₁₃	1	1	yes	characteristic
905	#463	C₂²×C₁₃	1	1	yes	characteristic
906	#463	C₂²×C₁₃	1	1	yes	characteristic
907	#463	C₂²×C₁₃	1	1	yes	characteristic
908	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
914	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
916	#461	C₂²×C₁₃	1	1	yes	characteristic
917	#461	C₂²×C₁₃	1	1	yes	characteristic
918	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#460	C₂²×C₁₃	1	1	yes	characteristic
921	#460	C₂²×C₁₃	1	1	yes	characteristic
922	#460	C₂²×C₁₃	1	1	yes	characteristic
923	#459	C₂²×C₁₃	1	1	yes	characteristic
924	#452	C₂²×C₁₃	1	1	yes	characteristic
925	#452	C₂²×C₁₃	1	1	yes	characteristic
926	#452	C₂²×C₁₃	1	1	yes	characteristic
927	#451	C₂²×C₁₃	1	1	yes	characteristic
928	#451	C₂²×C₁₃	1	1	yes	characteristic
929	#451	C₂²×C₁₃	1	1	yes	characteristic
930	#450	C₂²×C₁₃	1	1	yes	characteristic
931	#450	C₂²×C₁₃	1	1	yes	characteristic
932	#450	C₂²×C₁₃	1	1	yes	characteristic
933	#449	C₂²×C₁₃	1	1	yes	characteristic
934	#448	C₂²×C₁₃	1	1	yes	characteristic
935	#447	C₂²×C₁₃	1	1	yes	characteristic
936	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
939	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
943	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	#442	C₂²×C₁₃	1	1	yes	characteristic
945	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
946	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
949	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	#440	C₂²×C₁₃	1	1	yes	characteristic
951	#440	C₂²×C₁₃	1	1	yes	characteristic
952	#440	C₂²×C₁₃	1	1	yes	characteristic
953	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
958	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
962	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
963	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
964	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
968	#433	C₂²×C₁₃	1	1	yes	characteristic
969	#433	C₂²×C₁₃	1	1	yes	characteristic
970	#433	C₂²×C₁₃	1	1	yes	characteristic
971	#433	C₂²×C₁₃	1	1	yes	characteristic
972	#432	C₂²×C₁₃	1	1	yes	characteristic
973	#431	C₂²×C₁₃	1	1	yes	characteristic
974	C₂²×C₁₃	—	2	1	no	—
975	C₂²×C₁₃	—	2	1	no	—
976	C₂²×C₁₃	—	2	1	no	—
977	C₂²×C₁₃	—	4	1	no	—
978	C₂²×C₁₃	—	4	1	no	—
979	C₂²×C₁₃	—	4	1	no	—
980	C₂²×C₁₃	—	4	1	no	—
981	C₂²×C₁₃	—	4	1	no	—
982	C₂²×C₁₃	—	4	1	no	—
983	C₂²×C₁₃	—	4	1	no	—
984	C₂²×C₁₃	—	4	1	no	—
985	C₂²×C₁₃	—	4	1	no	—
986	C₂²×C₁₃	—	4	1	no	—
987	C₂²×C₁₃	—	4	1	no	—
988	C₂²×C₁₃	—	4	1	no	—
989	C₂²×C₁₃	—	16	2	no	—
990	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
991	C₄×C₁₃	—	2	1	no	—
992	C₄×C₁₃	—	2	1	no	—
993	C₄×C₁₃	—	2	1	no	—
994	C₄×C₁₃	—	2	1	no	—
995	C₄×C₁₃	—	2	1	no	—
996	C₄×C₁₃	—	2	1	no	—
997	C₄×C₁₃	—	2	1	no	—
998	C₄×C₁₃	—	2	1	no	—
999	C₄×C₁₃	—	2	1	no	—
1000	C₄×C₁₃	—	2	1	no	—
1001	C₄×C₁₃	—	2	1	no	—
1002	C₄×C₁₃	—	2	1	no	—
1003	C₄×C₁₃	—	2	1	no	—
1004	C₄×C₁₃	—	4	1	no	—
1005	C₄×C₁₃	—	4	1	no	—
1006	C₄×C₁₃	—	4	1	no	—
1007	C₄×C₁₃	—	4	1	no	—
1008	C₄×C₁₃	—	4	1	no	—
1009	C₄×C₁₃	—	4	1	no	—
1010	C₄×C₁₃	—	4	1	no	—
1011	C₄×C₁₃	—	4	1	no	—
1012	C₄×C₁₃	—	4	1	no	—
1013	C₄×C₁₃	—	4	1	no	—
1014	C₄×C₁₃	—	4	1	no	—
1015	C₄×C₁₃	—	4	1	no	—
1016	C₄×C₁₃	#585	1	1	yes	characteristic
1017	C₄×C₁₃	#585	1	1	yes	characteristic
1018	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1020	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1021	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1022	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1024	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1045	C₄⋊Q₈	—	2	1	no	—
1046	C₄⋊Q₈	—	2	1	no	—
1047	C₄⋊Q₈	—	2	1	no	—
1048	C₄⋊Q₈	—	2	1	no	—
1049	C₄⋊Q₈	—	2	1	no	—
1050	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1051	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1052	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1053	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1054	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1055	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1056	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1057	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1058	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1059	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1060	#127	C₂³×C₁₃	1	1	yes	characteristic
1061	#127	C₂³×C₁₃	1	1	yes	characteristic
1062	#126	—	2	1	no	—
1063	#126	—	2	1	no	—
1064	#126	—	2	1	no	—
1065	#126	—	2	1	no	—
1066	#126	—	2	1	no	—
1067	#126	—	2	1	no	—
1068	#126	—	2	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#125	—	2	1	no	—
1084	#125	—	2	1	no	—
1085	#125	—	2	1	no	—
1086	#125	—	2	1	no	—
1087	#125	—	2	1	no	—
1088	#125	—	2	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	D₄×C₁₃	1	1	yes	characteristic
1096	#125	D₄×C₁₃	1	1	yes	characteristic
1097	#125	C₂³×C₁₃	1	1	yes	characteristic
1098	#125	C₂³×C₁₃	1	1	yes	characteristic
1099	#125	C₂³×C₁₃	1	1	yes	characteristic
1100	#124	—	2	1	no	—
1101	#124	—	2	1	no	—
1102	#124	—	2	1	no	—
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	C₂³×C₁₃	1	1	yes	characteristic
1109	#124	C₂³×C₁₃	1	1	yes	characteristic
1110	#124	C₂³×C₁₃	1	1	yes	characteristic
1111	#124	C₂³×C₁₃	1	1	yes	characteristic
1112	#124	C₂³×C₁₃	1	1	yes	characteristic
1113	#124	C₂³×C₁₃	1	1	yes	characteristic
1114	#124	C₂³×C₁₃	1	1	yes	characteristic
1115	#124	C₂³×C₁₃	1	1	yes	characteristic
1116	#124	C₂³×C₁₃	1	1	yes	characteristic
1117	#124	C₂³×C₁₃	1	1	yes	characteristic
1118	#124	C₂³×C₁₃	1	1	yes	characteristic
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
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	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
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	D₄×C₁₃	1	1	yes	characteristic
1149	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1150	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	C₂³×C₁₃	1	1	yes	characteristic
1157	#120	—	2	1	no	—
1158	#120	—	2	1	no	—
1159	C₄×Q₈	—	2	1	no	—
1160	C₄×Q₈	—	2	1	no	—
1161	C₄×Q₈	—	2	1	no	—
1162	C₄×Q₈	—	2	1	no	—
1163	C₄×Q₈	—	2	1	no	—
1164	C₄×Q₈	—	2	1	no	—
1165	C₄×Q₈	—	2	1	no	—
1166	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1167	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1168	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1169	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1170	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1171	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1172	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1173	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1175	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1195	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1196	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1197	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1198	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1199	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1200	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1201	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1202	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1203	#117	—	2	1	no	—
1204	#117	—	2	1	no	—
1205	#117	—	2	1	no	—
1206	#117	—	2	1	no	—
1207	#117	—	2	1	no	—
1208	#117	—	2	1	no	—
1209	#117	—	2	1	no	—
1210	#117	—	2	1	no	—
1211	#117	—	2	1	no	—
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	C₂³×C₁₃	1	1	yes	characteristic
1216	#117	C₂³×C₁₃	1	1	yes	characteristic
1217	#117	C₂³×C₁₃	1	1	yes	characteristic
1218	C₂×C₄⋊C₄	—	2	1	no	—
1219	C₂×C₂²⋊C₄	—	2	1	no	—
1220	C₂×C₂²⋊C₄	—	2	1	no	—
1221	C₂×C₂²⋊C₄	—	2	1	no	—
1222	C₂×C₂²⋊C₄	—	2	1	no	—
1223	C₂×C₄²	—	2	1	no	—
1224	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1225	#107	C₂³×C₁₃	1	1	yes	characteristic
1226	#107	C₂³×C₁₃	1	1	yes	characteristic
1227	#107	C₂³×C₁₃	1	1	yes	characteristic
1228	#107	C₂³×C₁₃	1	1	yes	characteristic
1229	#106	C₂³×C₁₃	1	1	yes	characteristic
1230	#106	C₂³×C₁₃	1	1	yes	characteristic
1231	#106	C₂³×C₁₃	1	1	yes	characteristic
1232	#106	C₂³×C₁₃	1	1	yes	characteristic
1233	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1234	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1235	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1236	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1237	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1238	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1239	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1240	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1241	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1242	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1243	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1244	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1245	#103	C₂³×C₁₃	1	1	yes	characteristic
1246	#103	C₂³×C₁₃	1	1	yes	characteristic
1247	#103	C₂³×C₁₃	1	1	yes	characteristic
1248	#103	C₂³×C₁₃	1	1	yes	characteristic
1249	#103	C₂³×C₁₃	1	1	yes	characteristic
1250	#103	C₂³×C₁₃	1	1	yes	characteristic
1251	#103	C₂³×C₁₃	1	1	yes	characteristic
1252	#103	C₂³×C₁₃	1	1	yes	characteristic
1253	#103	C₂³×C₁₃	1	1	yes	characteristic
1254	#103	C₂³×C₁₃	1	1	yes	characteristic
1255	#103	C₂³×C₁₃	1	1	yes	characteristic
1256	#103	C₂³×C₁₃	1	1	yes	characteristic
1257	#103	C₂³×C₁₃	1	1	yes	characteristic
1258	#103	C₂³×C₁₃	1	1	yes	characteristic
1259	#103	C₂³×C₁₃	1	1	yes	characteristic
1260	#103	C₂³×C₁₃	1	1	yes	characteristic
1261	#103	C₂³×C₁₃	1	1	yes	characteristic
1262	#103	C₂³×C₁₃	1	1	yes	characteristic
1263	#102	C₂³×C₁₃	1	1	yes	characteristic
1264	#102	C₂³×C₁₃	1	1	yes	characteristic
1265	#102	C₂³×C₁₃	1	1	yes	characteristic
1266	#102	C₂³×C₁₃	1	1	yes	characteristic
1267	#102	C₂³×C₁₃	1	1	yes	characteristic
1268	#102	C₂³×C₁₃	1	1	yes	characteristic
1269	#102	C₂³×C₁₃	1	1	yes	characteristic
1270	#102	C₂³×C₁₃	1	1	yes	characteristic
1271	#102	C₂³×C₁₃	1	1	yes	characteristic
1272	#102	C₂³×C₁₃	1	1	yes	characteristic
1273	#102	C₂³×C₁₃	1	1	yes	characteristic
1274	#102	C₂³×C₁₃	1	1	yes	characteristic
1275	#102	C₂³×C₁₃	1	1	yes	characteristic
1276	#102	C₂³×C₁₃	1	1	yes	characteristic
1277	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1279	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1280	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1281	#97	C₂³×C₁₃	1	1	yes	characteristic
1282	#97	C₂³×C₁₃	1	1	yes	characteristic
1283	#97	C₂³×C₁₃	1	1	yes	characteristic
1284	#97	C₂³×C₁₃	1	1	yes	characteristic
1285	#97	C₂³×C₁₃	1	1	yes	characteristic
1286	#97	C₂³×C₁₃	1	1	yes	characteristic
1287	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1288	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1289	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1290	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1291	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1292	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1293	C₂×C₁₃	—	4	1	no	—
1294	C₂×C₁₃	—	8	1	no	—
1295	C₂×C₁₃	—	8	1	no	—
1296	C₂×C₁₃	—	8	1	no	—
1297	C₂×C₁₃	—	8	1	no	—
1298	C₂×C₁₃	#3487	1	1	yes	characteristic
1299	C₂×C₁₃	#3584	1	1	yes	characteristic
1300	C₂×C₁₃	#3586	1	1	yes	characteristic
1301	C₂⁴	—	2	1	no	—
1302	#41	—	4	1	no	—
1303	#41	—	4	1	no	—
1304	C₂×Q₈	—	2	1	no	—
1305	C₂×Q₈	—	2	1	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	4	1	no	—
1309	C₂×Q₈	—	4	1	no	—
1310	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1311	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1312	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1313	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1314	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1315	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1316	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1317	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1318	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1319	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	4	1	no	—
1328	C₂×D₄	—	4	1	no	—
1329	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1330	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1331	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1332	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	2	1	no	—
1335	C₂²×C₄	—	2	1	no	—
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1345	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1346	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1347	Q₁₆	—	4	1	no	—
1348	Q₁₆	—	4	1	no	—
1349	Q₁₆	—	4	1	no	—
1350	Q₁₆	—	4	1	no	—
1351	Q₁₆	—	4	1	no	—
1352	Q₁₆	—	4	1	no	—
1353	Q₁₆	—	4	1	no	—
1354	Q₁₆	—	4	1	no	—
1355	Q₁₆	—	4	1	no	—
1356	SD₁₆	—	4	1	no	—
1357	SD₁₆	—	4	1	no	—
1358	SD₁₆	—	4	1	no	—
1359	SD₁₆	—	4	1	no	—
1360	SD₁₆	—	4	1	no	—
1361	SD₁₆	—	4	1	no	—
1362	SD₁₆	—	4	1	no	—
1363	SD₁₆	—	4	1	no	—
1364	SD₁₆	—	4	1	no	—
1365	SD₁₆	—	4	1	no	—
1366	SD₁₆	—	4	1	no	—
1367	SD₁₆	—	4	1	no	—
1368	D₈	—	4	1	no	—
1369	D₈	—	4	1	no	—
1370	D₈	—	4	1	no	—
1371	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1372	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1373	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1374	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1375	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1376	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1377	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1417	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1418	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1419	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1420	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1421	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1422	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1430	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1431	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1432	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1433	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1434	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1435	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1495	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1496	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1497	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1498	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1499	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1500	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1501	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1502	C₁₃	#61925	1	1	yes	characteristic, direct product factor, Sylow
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	4	2	no	—
1508	C₂³	—	8	1	no	—
1509	C₂³	—	8	1	no	—
1510	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1511	Q₈	—	2	1	no	—
1512	Q₈	—	2	1	no	—
1513	Q₈	—	2	1	no	—
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	2	1	no	—
1520	Q₈	—	2	1	no	—
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	4	1	no	—
1524	Q₈	—	4	1	no	—
1525	Q₈	—	4	1	no	—
1526	Q₈	—	4	1	no	—
1527	Q₈	—	4	2	no	—
1528	Q₈	—	8	1	no	—
1529	Q₈	—	8	1	no	—
1530	Q₈	—	8	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	2	1	no	—
1534	D₄	—	2	1	no	—
1535	D₄	—	2	1	no	—
1536	D₄	—	2	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	4	2	no	—
1540	D₄	—	4	2	no	—
1541	D₄	—	8	1	no	—
1542	D₄	—	8	1	no	—
1543	D₄	—	8	1	no	—
1544	D₄	—	8	1	no	—
1545	D₄	—	8	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	4	1	no	—
1561	C₂×C₄	—	4	1	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	4	2	no	—
1564	C₂×C₄	—	4	2	no	—
1565	C₂×C₄	—	8	1	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1574	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1575	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1576	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1577	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1578	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1579	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1580	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1581	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1582	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1583	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1584	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1585	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1586	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₈	—	2	1	no	—
1594	C₈	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	16	2	no	—
1611	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	2	1	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	1	no	—
1624	C₄	—	2	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	C₁₃×#585	1	1	yes	characteristic
1638	C₄	C₁₃×#585	1	1	yes	characteristic
1639	C₂	—	4	1	no	—
1640	C₂	—	8	1	no	—
1641	C₂	—	8	1	no	—
1642	C₂	—	8	1	no	—
1643	C₂	—	8	1	no	—
1644	C₂	C₁₃×#3487	1	1	yes	characteristic
1645	C₂	C₁₃×#3584	1	1	yes	characteristic
1646	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3224	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3555	C₂	semidirect
2. C₁₃×#3510	C₂	semidirect
3. C₁₃×#3402	C₂	semidirect
4. C₁₃×#3402	C₂	semidirect
5. C₁₃×#3401	C₂	semidirect
6. C₁₃×#3401	C₂	semidirect
7. C₁₃×#3400	C₂	semidirect
8. C₁₃×#3398	C₂	semidirect
9. C₁₃×#3394	C₂	semidirect
10. C₁₃×#3393	C₂	semidirect
11. C₁₃×#3377	C₂	semidirect
12. C₁₃×#3376	C₂	semidirect
13. C₁₃×#3375	C₂	semidirect
14. C₁₃×#3371	C₂	semidirect
15. C₁₃×#3370	C₂	semidirect
16. C₁₃×#3369	C₂	semidirect
17. C₁₃×#3365	C₂	semidirect
18. C₁₃×#3364	C₂	semidirect
19. C₁₃×#3225	C₂	semidirect
21. C₁₃×#3223	C₂	semidirect
22. C₁₃×#3222	C₂	semidirect
23. C₁₃×#3215	C₂	semidirect
24. C₁₃×#3211	C₂	semidirect
25. C₁₃×#3127	C₂	semidirect
26. C₁₃×#3123	C₂	semidirect
27. C₁₃×#3121	C₂	semidirect
28. C₁₃×#3118	C₂	semidirect
29. C₁₃×#3111	C₂	semidirect
30. C₁₃×#3107	C₂	semidirect
31. C₁₃×#2985	C₂	semidirect
38. Q₈²×C₁₃	C₂²	semidirect
39. C₁₃×#557	C₂²	semidirect
40. C₁₃×#557	C₂²	semidirect
41. C₁₃×#557	C₂²	semidirect
47. C₁₃×#556	C₂²	semidirect
48. C₁₃×#556	C₂²	semidirect
49. C₁₃×#556	C₂²	semidirect
50. C₁₃×#554	C₂²	semidirect
80. C₁₃×#497	C₂²	semidirect
81. C₁₃×#497	C₂²	semidirect
86. C₁₃×#495	C₂²	semidirect
87. C₁₃×#494	C₂²	semidirect
89. C₁₃×#491	C₂²	semidirect
94. C₁₃×#489	C₂²	semidirect
98. C₁₃×#488	C₂²	semidirect
99. C₁₃×#487	C₂²	semidirect
105. C₁₃×#479	C₂²	semidirect
106. C₁₃×#479	C₂²	semidirect
107. C₁₃×#479	C₂²	semidirect
110. C₁₃×#478	C₂²	semidirect
111. C₁₃×#477	C₂²	semidirect
113. C₁₃×#475	C₂²	semidirect
114. C₁₃×#475	C₂²	semidirect
116. C₁₃×#474	C₂²	semidirect
126. C₁₃×#464	C₂²	semidirect
127. C₁₃×#464	C₂²	semidirect
128. C₁₃×#464	C₂²	semidirect
129. C₁₃×#464	C₂²	semidirect
130. C₁₃×#464	C₂²	semidirect
131. C₁₃×#464	C₂²	semidirect
137. C₁₃×#463	C₂²	semidirect
138. C₁₃×#463	C₂²	semidirect
139. C₁₃×#462	C₂²	semidirect
140. C₁₃×#462	C₂²	semidirect
141. C₁₃×#462	C₂²	semidirect
142. C₁₃×#462	C₂²	semidirect
143. C₁₃×#462	C₂²	semidirect
144. C₁₃×#462	C₂²	semidirect
147. C₁₃×#461	C₂²	semidirect
148. C₁₃×#461	C₂²	semidirect
165. C₁₃×#446	C₂²	semidirect
166. C₁₃×#446	C₂²	semidirect
167. C₁₃×#446	C₂²	semidirect
168. C₁₃×#446	C₂²	semidirect
169. C₁₃×#446	C₂²	semidirect
170. C₁₃×#446	C₂²	semidirect
171. C₈×Q₈×C₁₃	C₂²	semidirect
172. C₈×Q₈×C₁₃	C₂²	semidirect
174. C₁₃×#442	C₂²	semidirect
175. C₁₃×#441	C₂²	semidirect
176. C₁₃×#441	C₂²	semidirect
177. C₁₃×#441	C₂²	semidirect
178. C₁₃×#441	C₂²	semidirect
182. C₁₃×#440	C₂²	semidirect
183. C₁₃×#440	C₂²	semidirect
184. C₁₃×#440	C₂²	semidirect
185. C₄×C₁₃×Q₁₆	C₂²	semidirect
186. C₄×C₁₃×Q₁₆	C₂²	semidirect
187. C₄×C₁₃×Q₁₆	C₂²	semidirect
188. C₄×C₁₃×Q₁₆	C₂²	semidirect
189. C₄×C₁₃×Q₁₆	C₂²	semidirect
193. C₄×C₁₃×SD₁₆	C₂²	semidirect
194. C₄×C₁₃×SD₁₆	C₂²	semidirect
195. C₄×C₁₃×SD₁₆	C₂²	semidirect
478. #61925	C₁₃	direct (N × H)
680. #3555	C₂×C₁₃	semidirect
681. #3510	C₂×C₁₃	semidirect
682. #3402	C₂×C₁₃	semidirect
683. #3402	C₂×C₁₃	semidirect
684. #3401	C₂×C₁₃	semidirect
685. #3401	C₂×C₁₃	semidirect
686. #3400	C₂×C₁₃	semidirect
687. #3398	C₂×C₁₃	semidirect
688. #3394	C₂×C₁₃	semidirect
689. #3393	C₂×C₁₃	semidirect
690. #3377	C₂×C₁₃	semidirect
691. #3376	C₂×C₁₃	semidirect
692. #3375	C₂×C₁₃	semidirect
693. #3371	C₂×C₁₃	semidirect
694. #3370	C₂×C₁₃	semidirect
695. #3369	C₂×C₁₃	semidirect
696. #3365	C₂×C₁₃	semidirect
697. #3364	C₂×C₁₃	semidirect
698. #3225	C₂×C₁₃	semidirect
700. #3223	C₂×C₁₃	semidirect
701. #3222	C₂×C₁₃	semidirect
702. #3215	C₂×C₁₃	semidirect
703. #3211	C₂×C₁₃	semidirect
704. #3127	C₂×C₁₃	semidirect
705. #3123	C₂×C₁₃	semidirect
706. #3121	C₂×C₁₃	semidirect
707. #3118	C₂×C₁₃	semidirect
708. #3111	C₂×C₁₃	semidirect
709. #3107	C₂×C₁₃	semidirect
710. #2985	C₂×C₁₃	semidirect
809. Q₈²	C₂²×C₁₃	semidirect
810. #557	C₂²×C₁₃	semidirect
811. #557	C₂²×C₁₃	semidirect
812. #557	C₂²×C₁₃	semidirect
818. #556	C₂²×C₁₃	semidirect
819. #556	C₂²×C₁₃	semidirect
820. #556	C₂²×C₁₃	semidirect
821. #554	C₂²×C₁₃	semidirect
851. #497	C₂²×C₁₃	semidirect
852. #497	C₂²×C₁₃	semidirect
857. #495	C₂²×C₁₃	semidirect
858. #494	C₂²×C₁₃	semidirect
860. #491	C₂²×C₁₃	semidirect
865. #489	C₂²×C₁₃	semidirect
869. #488	C₂²×C₁₃	semidirect
870. #487	C₂²×C₁₃	semidirect
876. #479	C₂²×C₁₃	semidirect
877. #479	C₂²×C₁₃	semidirect
878. #479	C₂²×C₁₃	semidirect
881. #478	C₂²×C₁₃	semidirect
882. #477	C₂²×C₁₃	semidirect
884. #475	C₂²×C₁₃	semidirect
885. #475	C₂²×C₁₃	semidirect
887. #474	C₂²×C₁₃	semidirect
897. #464	C₂²×C₁₃	semidirect
898. #464	C₂²×C₁₃	semidirect
899. #464	C₂²×C₁₃	semidirect
900. #464	C₂²×C₁₃	semidirect
901. #464	C₂²×C₁₃	semidirect
902. #464	C₂²×C₁₃	semidirect
908. #463	C₂²×C₁₃	semidirect
909. #463	C₂²×C₁₃	semidirect
910. #462	C₂²×C₁₃	semidirect
911. #462	C₂²×C₁₃	semidirect
912. #462	C₂²×C₁₃	semidirect
913. #462	C₂²×C₁₃	semidirect
914. #462	C₂²×C₁₃	semidirect
915. #462	C₂²×C₁₃	semidirect
918. #461	C₂²×C₁₃	semidirect
919. #461	C₂²×C₁₃	semidirect
936. #446	C₂²×C₁₃	semidirect
937. #446	C₂²×C₁₃	semidirect
938. #446	C₂²×C₁₃	semidirect
939. #446	C₂²×C₁₃	semidirect
940. #446	C₂²×C₁₃	semidirect
941. #446	C₂²×C₁₃	semidirect
942. C₈×Q₈	C₂²×C₁₃	semidirect
943. C₈×Q₈	C₂²×C₁₃	semidirect
945. #442	C₂²×C₁₃	semidirect
946. #441	C₂²×C₁₃	semidirect
947. #441	C₂²×C₁₃	semidirect
948. #441	C₂²×C₁₃	semidirect
949. #441	C₂²×C₁₃	semidirect
953. #440	C₂²×C₁₃	semidirect
954. #440	C₂²×C₁₃	semidirect
955. #440	C₂²×C₁₃	semidirect
956. C₄×Q₁₆	C₂²×C₁₃	semidirect
957. C₄×Q₁₆	C₂²×C₁₃	semidirect
958. C₄×Q₁₆	C₂²×C₁₃	semidirect
959. C₄×Q₁₆	C₂²×C₁₃	semidirect
960. C₄×Q₁₆	C₂²×C₁₃	semidirect
964. C₄×SD₁₆	C₂²×C₁₃	semidirect
965. C₄×SD₁₆	C₂²×C₁₃	semidirect
966. C₄×SD₁₆	C₂²×C₁₃	semidirect
1502. C₁₃	#61925	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×#3555	2
C₁₃×#3510	2
C₁₃×#3402	2
C₁₃×#3401	2
C₁₃×#3400	2
C₁₃×#3398	2
C₁₃×#3394	2
C₁₃×#3393	2
C₁₃×#3377	2
C₁₃×#3376	2
C₁₃×#3375	2
C₁₃×#3371	2
C₁₃×#3370	2
C₁₃×#3369	2
C₁₃×#3365	2
C₁₃×#3364	2
C₁₃×#3225	2
C₁₃×#3224	2
C₁₃×#3223	2
C₁₃×#3222	2
C₁₃×#3215	2
C₁₃×#3211	2
C₁₃×#3127	2
C₁₃×#3123	2
C₁₃×#3121	2
C₁₃×#3118	2
C₁₃×#3111	2
C₁₃×#3107	2
C₁₃×#2985	2
#61925	13

Subgroups — C13×#61925 #15748264

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61925 #15748264