Subgroups — C₁₃×#61924 #15748263

Order 3328.

1720 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3403	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×#3399	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3396	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3394	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×#3373	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×#3367	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3360	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, complemented
21	C₁₃×#3221	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3126	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3122	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×#3106	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#562	—	2	1	no	—
33	C₁₃×#562	—	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	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#556	C₂²	1	1	yes	characteristic
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×#554	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#551	—	2	1	no	—
49	C₁₃×#551	—	2	1	no	—
50	C₁₃×#551	—	2	1	no	—
51	C₁₃×#551	—	2	1	no	—
52	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
53	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#548	—	2	1	no	—
55	C₁₃×#547	—	2	1	no	—
56	C₁₃×#542	—	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×#540	C₂²	1	1	yes	characteristic
62	C₁₃×#540	C₂²	1	1	yes	characteristic
63	C₁₃×#539	—	2	1	no	—
64	C₁₃×#539	—	2	1	no	—
65	C₁₃×#536	—	2	1	no	—
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×#532	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, complemented
78	C₁₃×#496	C₂²	1	1	yes	characteristic
79	C₁₃×#496	C₂²	1	1	yes	characteristic
80	C₁₃×#496	C₂²	1	1	yes	characteristic
81	C₁₃×#496	C₂²	1	1	yes	characteristic
82	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
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×#493	C₂²	1	1	yes	characteristic
88	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
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×#482	C₂²	1	1	yes	characteristic
103	C₁₃×#482	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×#477	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#476	C₂²	1	1	yes	characteristic
114	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#474	C₂²	1	1	yes	characteristic
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, complemented
121	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#463	C₂²	1	1	yes	characteristic
125	C₁₃×#463	C₂²	1	1	yes	characteristic
126	C₁₃×#463	C₂²	1	1	yes	characteristic
127	C₁₃×#463	C₂²	1	1	yes	characteristic
128	C₁₃×#463	C₂²	1	1	yes	characteristic
129	C₁₃×#463	C₂²	1	1	yes	characteristic
130	C₁₃×#463	C₂²	1	1	yes	characteristic
131	C₁₃×#463	C₂²	1	1	yes	characteristic
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, complemented
136	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
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×#461	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#460	C₂²	1	1	yes	characteristic
144	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#459	C₂²	1	1	yes	characteristic
148	C₁₃×#459	C₂²	1	1	yes	characteristic
149	C₁₃×#459	C₂²	1	1	yes	characteristic
150	C₁₃×#459	C₂²	1	1	yes	characteristic
151	C₁₃×#459	C₂²	1	1	yes	characteristic
152	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#452	C₂²	1	1	yes	characteristic
154	C₁₃×#451	C₂²	1	1	yes	characteristic
155	C₁₃×#450	C₂²	1	1	yes	characteristic
156	C₁₃×#449	C₂²	1	1	yes	characteristic
157	C₁₃×#449	C₂²	1	1	yes	characteristic
158	C₁₃×#449	C₂²	1	1	yes	characteristic
159	C₁₃×#448	C₂²	1	1	yes	characteristic
160	C₁₃×#448	C₂²	1	1	yes	characteristic
161	C₁₃×#448	C₂²	1	1	yes	characteristic
162	C₁₃×#447	C₂²	1	1	yes	characteristic
163	C₁₃×#447	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
175	C₁₃×#442	C₂²	1	1	yes	characteristic
176	C₁₃×#442	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, complemented
181	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
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×SD₁₆	C₂²	1	1	yes	characteristic
187	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
189	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
190	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
191	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
192	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
193	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
194	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
195	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
196	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
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	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	—	2	1	no	—
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	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×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	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×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×D₈	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	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₄⋊Q₈	—	2	1	no	—
234	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	C₂³	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×#127	C₂³	1	1	yes	characteristic
242	C₁₃×#127	C₂³	1	1	yes	characteristic
243	C₁₃×#127	C₂³	1	1	yes	characteristic
244	C₁₃×#127	C₂³	1	1	yes	characteristic
245	C₁₃×#127	C₂³	1	1	yes	characteristic
246	C₁₃×#126	—	2	1	no	—
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×#125	—	2	1	no	—
258	C₁₃×#125	—	2	1	no	—
259	C₁₃×#125	D₄	1	1	yes	characteristic
260	C₁₃×#125	D₄	1	1	yes	characteristic
261	C₁₃×#125	C₂³	1	1	yes	characteristic
262	C₁₃×#125	C₂³	1	1	yes	characteristic
263	C₁₃×#125	C₂³	1	1	yes	characteristic
264	C₁₃×#124	—	2	1	no	—
265	C₁₃×#124	—	2	1	no	—
266	C₁₃×#124	—	2	1	no	—
267	C₁₃×#124	—	2	1	no	—
268	C₁₃×#124	—	2	1	no	—
269	C₁₃×#124	—	2	1	no	—
270	C₁₃×#124	—	2	1	no	—
271	C₁₃×#124	—	2	1	no	—
272	C₁₃×#124	—	2	1	no	—
273	C₁₃×#124	—	2	1	no	—
274	C₁₃×#124	—	2	1	no	—
275	C₁₃×#124	—	2	1	no	—
276	C₁₃×#124	C₂³	1	1	yes	characteristic
277	C₁₃×#124	C₂³	1	1	yes	characteristic
278	C₁₃×#124	C₂³	1	1	yes	characteristic
279	C₁₃×#124	C₂³	1	1	yes	characteristic
280	C₁₃×#124	C₂³	1	1	yes	characteristic
281	C₁₃×#124	C₂³	1	1	yes	characteristic
282	C₁₃×#124	C₂³	1	1	yes	characteristic
283	C₁₃×#124	C₂³	1	1	yes	characteristic
284	C₁₃×#124	C₂³	1	1	yes	characteristic
285	C₁₃×#124	C₂³	1	1	yes	characteristic
286	C₁₃×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
294	C₁₃×#123	—	2	1	no	—
295	C₁₃×#123	—	2	1	no	—
296	C₁₃×#123	—	2	1	no	—
297	C₁₃×#123	—	2	1	no	—
298	C₁₃×#123	—	2	1	no	—
299	C₁₃×#123	—	2	1	no	—
300	C₁₃×#123	—	2	1	no	—
301	C₁₃×#123	—	2	1	no	—
302	C₁₃×#123	—	2	1	no	—
303	C₁₃×#123	—	2	1	no	—
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×C₂²⋊Q₈	—	2	1	no	—
311	C₁₃×C₂²⋊Q₈	—	2	1	no	—
312	C₁₃×C₂²⋊Q₈	—	2	1	no	—
313	C₁₃×C₂²⋊Q₈	—	2	1	no	—
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	—	2	1	no	—
316	C₁₃×C₂²⋊Q₈	—	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	D₄	1	1	yes	characteristic
328	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
329	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
330	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
331	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
332	C₁₃×#121	—	2	1	no	—
333	C₁₃×#121	—	2	1	no	—
334	C₁₃×#121	—	2	1	no	—
335	C₁₃×#121	—	2	1	no	—
336	C₁₃×#121	—	2	1	no	—
337	C₁₃×#121	—	2	1	no	—
338	C₁₃×#121	—	2	1	no	—
339	C₁₃×#121	—	2	1	no	—
340	C₁₃×#121	—	2	1	no	—
341	C₁₃×#121	—	2	1	no	—
342	C₁₃×#121	C₂³	1	1	yes	characteristic
343	C₁₃×#121	C₂³	1	1	yes	characteristic
344	C₁₃×#121	C₂³	1	1	yes	characteristic
345	C₁₃×#120	—	2	1	no	—
346	C₁₃×#120	—	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	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×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×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	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
400	C₁₃×#117	C₂³	1	1	yes	characteristic
401	C₁₃×#117	C₂³	1	1	yes	characteristic
402	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
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×#102	C₂³	1	1	yes	characteristic
445	C₁₃×#102	C₂³	1	1	yes	characteristic
446	C₁₃×#102	C₂³	1	1	yes	characteristic
447	C₁₃×#102	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	#61924	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	C₁₃×#41	—	8	2	no	—
483	C₁₃×#41	—	8	2	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	—	2	1	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	4	1	no	—
489	C₂×Q₈×C₁₃	—	4	1	no	—
490	C₂×Q₈×C₁₃	—	8	2	no	—
491	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₁₃	C₂×D₄	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×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
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	—	4	1	no	—
515	C₂×D₄×C₁₃	—	4	1	no	—
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	2	1	no	—
530	C₂²×C₄×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₁₃×Q₁₆	—	4	1	no	—
543	C₁₃×Q₁₆	—	4	1	no	—
544	C₁₃×Q₁₆	—	4	1	no	—
545	C₁₃×SD₁₆	—	4	1	no	—
546	C₁₃×SD₁₆	—	4	1	no	—
547	C₁₃×SD₁₆	—	4	1	no	—
548	C₁₃×SD₁₆	—	4	1	no	—
549	C₁₃×SD₁₆	—	4	1	no	—
550	C₁₃×SD₁₆	—	4	1	no	—
551	C₁₃×SD₁₆	—	4	1	no	—
552	C₁₃×SD₁₆	—	4	1	no	—
553	C₁₃×SD₁₆	—	4	1	no	—
554	C₁₃×SD₁₆	—	4	1	no	—
555	C₁₃×SD₁₆	—	4	1	no	—
556	C₁₃×SD₁₆	—	4	1	no	—
557	C₁₃×D₈	—	4	1	no	—
558	C₁₃×D₈	—	4	1	no	—
559	C₁₃×D₈	—	4	1	no	—
560	C₁₃×D₈	—	4	1	no	—
561	C₁₃×D₈	—	4	1	no	—
562	C₁₃×D₈	—	4	1	no	—
563	C₁₃×D₈	—	4	1	no	—
564	C₁₃×D₈	—	4	1	no	—
565	C₁₃×D₈	—	4	1	no	—
566	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	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	—	2	1	no	—
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	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	—	2	1	no	—
673	C₄²×C₁₃	—	2	1	no	—
674	C₄²×C₁₃	—	2	1	no	—
675	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₁₃	C₂×D₄	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	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
681	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
682	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
683	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3403	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3403	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3401	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3401	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3396	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3371	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3360	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3224	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3221	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3220	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3126	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3122	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
714	C₂³×C₁₃	—	2	1	no	—
715	C₂³×C₁₃	—	2	1	no	—
716	C₂³×C₁₃	—	2	1	no	—
717	C₂³×C₁₃	—	2	1	no	—
718	C₂³×C₁₃	—	2	1	no	—
719	C₂³×C₁₃	—	2	1	no	—
720	C₂³×C₁₃	—	4	2	no	—
721	C₂³×C₁₃	—	8	1	no	—
722	C₂³×C₁₃	—	8	1	no	—
723	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
732	Q₈×C₁₃	—	4	1	no	—
733	Q₈×C₁₃	—	4	1	no	—
734	Q₈×C₁₃	—	4	1	no	—
735	Q₈×C₁₃	—	4	1	no	—
736	Q₈×C₁₃	—	4	2	no	—
737	Q₈×C₁₃	—	4	2	no	—
738	Q₈×C₁₃	—	8	1	no	—
739	Q₈×C₁₃	—	8	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	—	2	1	no	—
748	D₄×C₁₃	—	2	1	no	—
749	D₄×C₁₃	—	2	1	no	—
750	D₄×C₁₃	—	2	1	no	—
751	D₄×C₁₃	—	2	1	no	—
752	D₄×C₁₃	—	4	2	no	—
753	D₄×C₁₃	—	4	2	no	—
754	D₄×C₁₃	—	4	2	no	—
755	D₄×C₁₃	—	8	1	no	—
756	D₄×C₁₃	—	8	1	no	—
757	D₄×C₁₃	—	8	1	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	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	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	—	4	1	no	—
780	C₂×C₄×C₁₃	—	4	1	no	—
781	C₂×C₄×C₁₃	—	4	2	no	—
782	C₂×C₄×C₁₃	—	4	2	no	—
783	C₂×C₄×C₁₃	—	4	2	no	—
784	C₂×C₄×C₁₃	—	8	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
788	C₂×C₄×C₁₃	—	8	1	no	—
789	C₂×C₄×C₁₃	—	8	1	no	—
790	C₂×C₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	—	8	1	no	—
792	C₂×C₄×C₁₃	—	8	1	no	—
793	C₂×C₄×C₁₃	—	8	1	no	—
794	C₂×C₄×C₁₃	—	8	1	no	—
795	C₂×C₄×C₁₃	—	8	1	no	—
796	C₂×C₄×C₁₃	—	8	1	no	—
797	C₂×C₄×C₁₃	—	8	1	no	—
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
812	C₈×C₁₃	—	2	1	no	—
813	C₈×C₁₃	—	2	1	no	—
814	C₈×C₁₃	—	2	1	no	—
815	C₈×C₁₃	—	2	1	no	—
816	C₈×C₁₃	—	2	1	no	—
817	C₈×C₁₃	—	2	1	no	—
818	C₈×C₁₃	—	2	1	no	—
819	C₈×C₁₃	—	2	1	no	—
820	#562	—	2	1	no	—
821	#562	—	2	1	no	—
822	#559	C₂²×C₁₃	1	1	yes	characteristic
823	#559	C₂²×C₁₃	1	1	yes	characteristic
824	#559	C₂²×C₁₃	1	1	yes	characteristic
825	#559	C₂²×C₁₃	1	1	yes	characteristic
826	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
827	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
828	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
829	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
830	#556	C₂²×C₁₃	1	1	yes	characteristic
831	#556	C₂²×C₁₃	1	1	yes	characteristic
832	#556	C₂²×C₁₃	1	1	yes	characteristic
833	#556	C₂²×C₁₃	1	1	yes	characteristic
834	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
835	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	#551	—	2	1	no	—
837	#551	—	2	1	no	—
838	#551	—	2	1	no	—
839	#551	—	2	1	no	—
840	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
841	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
842	#548	—	2	1	no	—
843	#547	—	2	1	no	—
844	#542	—	2	1	no	—
845	#542	—	2	1	no	—
846	#542	—	2	1	no	—
847	#542	C₂²×C₁₃	1	1	yes	characteristic
848	#542	C₂²×C₁₃	1	1	yes	characteristic
849	#540	C₂²×C₁₃	1	1	yes	characteristic
850	#540	C₂²×C₁₃	1	1	yes	characteristic
851	#539	—	2	1	no	—
852	#539	—	2	1	no	—
853	#536	—	2	1	no	—
854	#536	C₂²×C₁₃	1	1	yes	characteristic
855	#535	C₂²×C₁₃	1	1	yes	characteristic
856	#533	C₂²×C₁₃	1	1	yes	characteristic
857	#532	C₂²×C₁₃	1	1	yes	characteristic
858	#529	—	2	1	no	—
859	#529	—	2	1	no	—
860	#529	C₂²×C₁₃	1	1	yes	characteristic
861	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
862	#519	C₂²×C₁₃	1	1	yes	characteristic
863	#518	C₂²×C₁₃	1	1	yes	characteristic
864	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
865	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	#496	C₂²×C₁₃	1	1	yes	characteristic
867	#496	C₂²×C₁₃	1	1	yes	characteristic
868	#496	C₂²×C₁₃	1	1	yes	characteristic
869	#496	C₂²×C₁₃	1	1	yes	characteristic
870	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#495	C₂²×C₁₃	1	1	yes	characteristic
872	#495	C₂²×C₁₃	1	1	yes	characteristic
873	#495	C₂²×C₁₃	1	1	yes	characteristic
874	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#493	C₂²×C₁₃	1	1	yes	characteristic
876	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#490	C₂²×C₁₃	1	1	yes	characteristic
879	#489	C₂²×C₁₃	1	1	yes	characteristic
880	#489	C₂²×C₁₃	1	1	yes	characteristic
881	#489	C₂²×C₁₃	1	1	yes	characteristic
882	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#488	C₂²×C₁₃	1	1	yes	characteristic
884	#488	C₂²×C₁₃	1	1	yes	characteristic
885	#488	C₂²×C₁₃	1	1	yes	characteristic
886	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#486	C₂²×C₁₃	1	1	yes	characteristic
889	#485	C₂²×C₁₃	1	1	yes	characteristic
890	#482	C₂²×C₁₃	1	1	yes	characteristic
891	#482	C₂²×C₁₃	1	1	yes	characteristic
892	#482	C₂²×C₁₃	1	1	yes	characteristic
893	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
894	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
895	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#478	C₂²×C₁₃	1	1	yes	characteristic
897	#478	C₂²×C₁₃	1	1	yes	characteristic
898	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#476	C₂²×C₁₃	1	1	yes	characteristic
902	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#474	C₂²×C₁₃	1	1	yes	characteristic
905	#464	C₂²×C₁₃	1	1	yes	characteristic
906	#464	C₂²×C₁₃	1	1	yes	characteristic
907	#464	C₂²×C₁₃	1	1	yes	characteristic
908	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#463	C₂²×C₁₃	1	1	yes	characteristic
913	#463	C₂²×C₁₃	1	1	yes	characteristic
914	#463	C₂²×C₁₃	1	1	yes	characteristic
915	#463	C₂²×C₁₃	1	1	yes	characteristic
916	#463	C₂²×C₁₃	1	1	yes	characteristic
917	#463	C₂²×C₁₃	1	1	yes	characteristic
918	#463	C₂²×C₁₃	1	1	yes	characteristic
919	#463	C₂²×C₁₃	1	1	yes	characteristic
920	#463	C₂²×C₁₃	1	1	yes	characteristic
921	#463	C₂²×C₁₃	1	1	yes	characteristic
922	#463	C₂²×C₁₃	1	1	yes	characteristic
923	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
924	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
930	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#460	C₂²×C₁₃	1	1	yes	characteristic
932	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#459	C₂²×C₁₃	1	1	yes	characteristic
936	#459	C₂²×C₁₃	1	1	yes	characteristic
937	#459	C₂²×C₁₃	1	1	yes	characteristic
938	#459	C₂²×C₁₃	1	1	yes	characteristic
939	#459	C₂²×C₁₃	1	1	yes	characteristic
940	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#452	C₂²×C₁₃	1	1	yes	characteristic
942	#451	C₂²×C₁₃	1	1	yes	characteristic
943	#450	C₂²×C₁₃	1	1	yes	characteristic
944	#449	C₂²×C₁₃	1	1	yes	characteristic
945	#449	C₂²×C₁₃	1	1	yes	characteristic
946	#449	C₂²×C₁₃	1	1	yes	characteristic
947	#448	C₂²×C₁₃	1	1	yes	characteristic
948	#448	C₂²×C₁₃	1	1	yes	characteristic
949	#448	C₂²×C₁₃	1	1	yes	characteristic
950	#447	C₂²×C₁₃	1	1	yes	characteristic
951	#447	C₂²×C₁₃	1	1	yes	characteristic
952	#447	C₂²×C₁₃	1	1	yes	characteristic
953	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
958	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#442	C₂²×C₁₃	1	1	yes	characteristic
962	#442	C₂²×C₁₃	1	1	yes	characteristic
963	#442	C₂²×C₁₃	1	1	yes	characteristic
964	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#440	C₂²×C₁₃	1	1	yes	characteristic
968	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
975	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
981	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
982	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
983	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#433	C₂²×C₁₃	1	1	yes	characteristic
986	#433	C₂²×C₁₃	1	1	yes	characteristic
987	#433	C₂²×C₁₃	1	1	yes	characteristic
988	#433	C₂²×C₁₃	1	1	yes	characteristic
989	#432	C₂²×C₁₃	1	1	yes	characteristic
990	#431	C₂²×C₁₃	1	1	yes	characteristic
991	C₂²×C₁₃	—	2	1	no	—
992	C₂²×C₁₃	—	2	1	no	—
993	C₂²×C₁₃	—	2	1	no	—
994	C₂²×C₁₃	—	4	1	no	—
995	C₂²×C₁₃	—	4	1	no	—
996	C₂²×C₁₃	—	4	1	no	—
997	C₂²×C₁₃	—	4	1	no	—
998	C₂²×C₁₃	—	4	1	no	—
999	C₂²×C₁₃	—	4	1	no	—
1000	C₂²×C₁₃	—	4	1	no	—
1001	C₂²×C₁₃	—	4	1	no	—
1002	C₂²×C₁₃	—	4	1	no	—
1003	C₂²×C₁₃	—	4	1	no	—
1004	C₂²×C₁₃	—	4	1	no	—
1005	C₂²×C₁₃	—	4	1	no	—
1006	C₂²×C₁₃	—	4	1	no	—
1007	C₂²×C₁₃	—	4	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	—	16	2	no	—
1013	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1014	C₄×C₁₃	—	2	1	no	—
1015	C₄×C₁₃	—	2	1	no	—
1016	C₄×C₁₃	—	2	1	no	—
1017	C₄×C₁₃	—	2	1	no	—
1018	C₄×C₁₃	—	2	1	no	—
1019	C₄×C₁₃	—	2	1	no	—
1020	C₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
1028	C₄×C₁₃	—	4	1	no	—
1029	C₄×C₁₃	—	4	1	no	—
1030	C₄×C₁₃	—	4	1	no	—
1031	C₄×C₁₃	—	4	1	no	—
1032	C₄×C₁₃	—	4	1	no	—
1033	C₄×C₁₃	—	4	1	no	—
1034	C₄×C₁₃	—	4	1	no	—
1035	C₄×C₁₃	—	4	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	#585	1	1	yes	characteristic
1038	C₄×C₁₃	#585	1	1	yes	characteristic
1039	C₂×#41	—	2	1	no	—
1040	C₂×#41	—	2	1	no	—
1041	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂²×Q₈	—	2	1	no	—
1043	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1069	C₄⋊Q₈	—	2	1	no	—
1070	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1071	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1072	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1073	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1074	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1077	#127	C₂³×C₁₃	1	1	yes	characteristic
1078	#127	C₂³×C₁₃	1	1	yes	characteristic
1079	#127	C₂³×C₁₃	1	1	yes	characteristic
1080	#127	C₂³×C₁₃	1	1	yes	characteristic
1081	#127	C₂³×C₁₃	1	1	yes	characteristic
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	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	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
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	#124	C₂³×C₁₃	1	1	yes	characteristic
1120	#124	C₂³×C₁₃	1	1	yes	characteristic
1121	#124	C₂³×C₁₃	1	1	yes	characteristic
1122	#124	C₂³×C₁₃	1	1	yes	characteristic
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	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	2	1	no	—
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1164	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1165	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1166	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	C₂³×C₁₃	1	1	yes	characteristic
1179	#121	C₂³×C₁₃	1	1	yes	characteristic
1180	#121	C₂³×C₁₃	1	1	yes	characteristic
1181	#120	—	2	1	no	—
1182	#120	—	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	C₂³×C₁₃	1	1	yes	characteristic
1213	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
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	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
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	C₂³×C₁₃	1	1	yes	characteristic
1236	#117	C₂³×C₁₃	1	1	yes	characteristic
1237	#117	C₂³×C₁₃	1	1	yes	characteristic
1238	C₂×C₄⋊C₄	—	2	1	no	—
1239	C₂×C₄⋊C₄	—	2	1	no	—
1240	C₂×C₂²⋊C₄	—	2	1	no	—
1241	C₂×C₂²⋊C₄	—	2	1	no	—
1242	C₂×C₂²⋊C₄	—	2	1	no	—
1243	C₂×C₂²⋊C₄	—	2	1	no	—
1244	C₂×C₄²	—	2	1	no	—
1245	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1246	#107	C₂³×C₁₃	1	1	yes	characteristic
1247	#107	C₂³×C₁₃	1	1	yes	characteristic
1248	#107	C₂³×C₁₃	1	1	yes	characteristic
1249	#107	C₂³×C₁₃	1	1	yes	characteristic
1250	#106	C₂³×C₁₃	1	1	yes	characteristic
1251	#106	C₂³×C₁₃	1	1	yes	characteristic
1252	#106	C₂³×C₁₃	1	1	yes	characteristic
1253	#106	C₂³×C₁₃	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1257	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1258	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1259	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1260	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1261	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1262	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1263	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1264	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1265	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1266	#103	C₂³×C₁₃	1	1	yes	characteristic
1267	#103	C₂³×C₁₃	1	1	yes	characteristic
1268	#103	C₂³×C₁₃	1	1	yes	characteristic
1269	#103	C₂³×C₁₃	1	1	yes	characteristic
1270	#103	C₂³×C₁₃	1	1	yes	characteristic
1271	#103	C₂³×C₁₃	1	1	yes	characteristic
1272	#103	C₂³×C₁₃	1	1	yes	characteristic
1273	#103	C₂³×C₁₃	1	1	yes	characteristic
1274	#103	C₂³×C₁₃	1	1	yes	characteristic
1275	#103	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	#102	C₂³×C₁₃	1	1	yes	characteristic
1281	#102	C₂³×C₁₃	1	1	yes	characteristic
1282	#102	C₂³×C₁₃	1	1	yes	characteristic
1283	#102	C₂³×C₁₃	1	1	yes	characteristic
1284	#102	C₂³×C₁₃	1	1	yes	characteristic
1285	#102	C₂³×C₁₃	1	1	yes	characteristic
1286	#102	C₂³×C₁₃	1	1	yes	characteristic
1287	#102	C₂³×C₁₃	1	1	yes	characteristic
1288	#102	C₂³×C₁₃	1	1	yes	characteristic
1289	#102	C₂³×C₁₃	1	1	yes	characteristic
1290	#102	C₂³×C₁₃	1	1	yes	characteristic
1291	#102	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	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1299	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1300	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1301	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1302	#97	C₂³×C₁₃	1	1	yes	characteristic
1303	#97	C₂³×C₁₃	1	1	yes	characteristic
1304	#97	C₂³×C₁₃	1	1	yes	characteristic
1305	#97	C₂³×C₁₃	1	1	yes	characteristic
1306	#97	C₂³×C₁₃	1	1	yes	characteristic
1307	#97	C₂³×C₁₃	1	1	yes	characteristic
1308	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1309	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1310	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1311	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1312	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1313	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1314	C₂×C₁₃	—	4	1	no	—
1315	C₂×C₁₃	—	8	1	no	—
1316	C₂×C₁₃	—	8	1	no	—
1317	C₂×C₁₃	—	8	1	no	—
1318	C₂×C₁₃	—	8	1	no	—
1319	C₂×C₁₃	—	8	1	no	—
1320	C₂×C₁₃	—	8	1	no	—
1321	C₂×C₁₃	#3487	1	1	yes	characteristic
1322	C₂×C₁₃	#3584	1	1	yes	characteristic
1323	C₂×C₁₃	#3585	1	1	yes	characteristic
1324	C₂⁴	—	2	1	no	—
1325	#41	—	4	1	no	—
1326	#41	—	4	1	no	—
1327	#41	—	8	2	no	—
1328	#41	—	8	2	no	—
1329	C₂×Q₈	—	2	1	no	—
1330	C₂×Q₈	—	2	1	no	—
1331	C₂×Q₈	—	2	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	4	1	no	—
1334	C₂×Q₈	—	4	1	no	—
1335	C₂×Q₈	—	8	2	no	—
1336	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1337	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1338	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1339	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1340	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1341	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1342	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1343	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	4	1	no	—
1360	C₂×D₄	—	4	1	no	—
1361	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1362	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1363	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1365	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1366	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1385	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1386	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1387	Q₁₆	—	4	1	no	—
1388	Q₁₆	—	4	1	no	—
1389	Q₁₆	—	4	1	no	—
1390	SD₁₆	—	4	1	no	—
1391	SD₁₆	—	4	1	no	—
1392	SD₁₆	—	4	1	no	—
1393	SD₁₆	—	4	1	no	—
1394	SD₁₆	—	4	1	no	—
1395	SD₁₆	—	4	1	no	—
1396	SD₁₆	—	4	1	no	—
1397	SD₁₆	—	4	1	no	—
1398	SD₁₆	—	4	1	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	4	1	no	—
1401	SD₁₆	—	4	1	no	—
1402	D₈	—	4	1	no	—
1403	D₈	—	4	1	no	—
1404	D₈	—	4	1	no	—
1405	D₈	—	4	1	no	—
1406	D₈	—	4	1	no	—
1407	D₈	—	4	1	no	—
1408	D₈	—	4	1	no	—
1409	D₈	—	4	1	no	—
1410	D₈	—	4	1	no	—
1411	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1412	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1413	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1414	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1444	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1445	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1450	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1452	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1453	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1454	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1455	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1456	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1458	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1459	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1460	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1461	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1521	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1522	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1525	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1526	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1527	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1528	C₁₃	#61924	1	1	yes	characteristic, direct product factor, Sylow
1529	C₂³	—	2	1	no	—
1530	C₂³	—	2	1	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	4	2	no	—
1536	C₂³	—	8	1	no	—
1537	C₂³	—	8	1	no	—
1538	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	4	1	no	—
1548	Q₈	—	4	1	no	—
1549	Q₈	—	4	1	no	—
1550	Q₈	—	4	1	no	—
1551	Q₈	—	4	2	no	—
1552	Q₈	—	4	2	no	—
1553	Q₈	—	8	1	no	—
1554	Q₈	—	8	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	4	2	no	—
1569	D₄	—	4	2	no	—
1570	D₄	—	8	1	no	—
1571	D₄	—	8	1	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	2	no	—
1597	C₂×C₄	—	4	2	no	—
1598	C₂×C₄	—	4	2	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	—	8	1	no	—
1605	C₂×C₄	—	8	1	no	—
1606	C₂×C₄	—	8	1	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1614	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1615	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1616	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1617	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1618	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1619	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1620	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1626	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1627	C₈	—	2	1	no	—
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	16	2	no	—
1657	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	C₁₃×#585	1	1	yes	characteristic
1682	C₄	C₁₃×#585	1	1	yes	characteristic
1683	C₂	—	4	1	no	—
1684	C₂	—	8	1	no	—
1685	C₂	—	8	1	no	—
1686	C₂	—	8	1	no	—
1687	C₂	—	8	1	no	—
1688	C₂	—	8	1	no	—
1689	C₂	—	8	1	no	—
1690	C₂	C₁₃×#3487	1	1	yes	characteristic
1691	C₂	C₁₃×#3584	1	1	yes	characteristic
1692	C₂	C₁₃×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3554	C₂	semidirect
2. C₁₃×#3510	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3403	C₂	semidirect
5. C₁₃×#3401	C₂	semidirect
6. C₁₃×#3401	C₂	semidirect
7. C₁₃×#3399	C₂	semidirect
8. C₁₃×#3397	C₂	semidirect
9. C₁₃×#3396	C₂	semidirect
10. C₁₃×#3394	C₂	semidirect
11. C₁₃×#3377	C₂	semidirect
12. C₁₃×#3376	C₂	semidirect
13. C₁₃×#3373	C₂	semidirect
14. C₁₃×#3371	C₂	semidirect
15. C₁₃×#3370	C₂	semidirect
16. C₁₃×#3367	C₂	semidirect
17. C₁₃×#3361	C₂	semidirect
18. C₁₃×#3360	C₂	semidirect
19. C₁₃×#3225	C₂	semidirect
20. C₁₃×#3224	C₂	semidirect
21. C₁₃×#3221	C₂	semidirect
22. C₁₃×#3220	C₂	semidirect
23. C₁₃×#3213	C₂	semidirect
24. C₁₃×#3211	C₂	semidirect
25. C₁₃×#3126	C₂	semidirect
26. C₁₃×#3122	C₂	semidirect
27. C₁₃×#3121	C₂	semidirect
28. C₁₃×#3118	C₂	semidirect
29. C₁₃×#3111	C₂	semidirect
30. C₁₃×#3106	C₂	semidirect
31. C₁₃×#2985	C₂	semidirect
38. C₁₃×#559	C₂²	semidirect
39. C₁₃×#559	C₂²	semidirect
40. C₁₃×#559	C₂²	semidirect
41. C₁₃×#557	C₂²	semidirect
46. C₁₃×#554	C₂²	semidirect
47. C₁₃×#554	C₂²	semidirect
52. C₁₃×#550	C₂²	semidirect
53. D₄×Q₈×C₁₃	C₂²	semidirect
77. C₁₃×#497	C₂²	semidirect
82. C₁₃×#496	C₂²	semidirect
86. C₁₃×#495	C₂²	semidirect
88. C₁₃×#492	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
112. C₁₃×#477	C₂²	semidirect
114. C₁₃×#476	C₂²	semidirect
115. C₁₃×#475	C₂²	semidirect
120. C₁₃×#464	C₂²	semidirect
121. C₁₃×#464	C₂²	semidirect
122. C₁₃×#464	C₂²	semidirect
123. C₁₃×#464	C₂²	semidirect
135. C₁₃×#463	C₂²	semidirect
136. C₁₃×#463	C₂²	semidirect
137. C₁₃×#463	C₂²	semidirect
138. C₁₃×#463	C₂²	semidirect
139. C₁₃×#462	C₂²	semidirect
140. C₁₃×#461	C₂²	semidirect
141. C₁₃×#461	C₂²	semidirect
142. C₁₃×#461	C₂²	semidirect
144. C₁₃×#460	C₂²	semidirect
145. C₁₃×#460	C₂²	semidirect
146. C₁₃×#460	C₂²	semidirect
152. C₁₃×#459	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
176. C₁₃×#442	C₂²	semidirect
177. C₁₃×#441	C₂²	semidirect
178. C₁₃×#441	C₂²	semidirect
180. C₁₃×#440	C₂²	semidirect
181. C₁₃×#440	C₂²	semidirect
182. C₁₃×#440	C₂²	semidirect
183. C₁₃×#440	C₂²	semidirect
184. C₁₃×#440	C₂²	semidirect
185. C₄×C₁₃×Q₁₆	C₂²	semidirect
187. C₄×C₁₃×SD₁₆	C₂²	semidirect
188. C₄×C₁₃×SD₁₆	C₂²	semidirect
189. C₄×C₁₃×SD₁₆	C₂²	semidirect
190. C₄×C₁₃×SD₁₆	C₂²	semidirect
191. C₄×C₁₃×SD₁₆	C₂²	semidirect
195. C₄×C₁₃×D₈	C₂²	semidirect
196. C₄×C₁₃×D₈	C₂²	semidirect
478. #61924	C₁₃	direct (N × H)
683. #3554	C₂×C₁₃	semidirect
684. #3510	C₂×C₁₃	semidirect
685. #3403	C₂×C₁₃	semidirect
686. #3403	C₂×C₁₃	semidirect
687. #3401	C₂×C₁₃	semidirect
688. #3401	C₂×C₁₃	semidirect
689. #3399	C₂×C₁₃	semidirect
690. #3397	C₂×C₁₃	semidirect
691. #3396	C₂×C₁₃	semidirect
692. #3394	C₂×C₁₃	semidirect
693. #3377	C₂×C₁₃	semidirect
694. #3376	C₂×C₁₃	semidirect
695. #3373	C₂×C₁₃	semidirect
696. #3371	C₂×C₁₃	semidirect
697. #3370	C₂×C₁₃	semidirect
698. #3367	C₂×C₁₃	semidirect
699. #3361	C₂×C₁₃	semidirect
700. #3360	C₂×C₁₃	semidirect
701. #3225	C₂×C₁₃	semidirect
702. #3224	C₂×C₁₃	semidirect
703. #3221	C₂×C₁₃	semidirect
704. #3220	C₂×C₁₃	semidirect
705. #3213	C₂×C₁₃	semidirect
706. #3211	C₂×C₁₃	semidirect
707. #3126	C₂×C₁₃	semidirect
708. #3122	C₂×C₁₃	semidirect
709. #3121	C₂×C₁₃	semidirect
710. #3118	C₂×C₁₃	semidirect
711. #3111	C₂×C₁₃	semidirect
712. #3106	C₂×C₁₃	semidirect
713. #2985	C₂×C₁₃	semidirect
826. #559	C₂²×C₁₃	semidirect
827. #559	C₂²×C₁₃	semidirect
828. #559	C₂²×C₁₃	semidirect
829. #557	C₂²×C₁₃	semidirect
834. #554	C₂²×C₁₃	semidirect
835. #554	C₂²×C₁₃	semidirect
840. #550	C₂²×C₁₃	semidirect
841. D₄×Q₈	C₂²×C₁₃	semidirect
865. #497	C₂²×C₁₃	semidirect
870. #496	C₂²×C₁₃	semidirect
874. #495	C₂²×C₁₃	semidirect
876. #492	C₂²×C₁₃	semidirect
877. #491	C₂²×C₁₃	semidirect
882. #489	C₂²×C₁₃	semidirect
886. #488	C₂²×C₁₃	semidirect
887. #487	C₂²×C₁₃	semidirect
893. #479	C₂²×C₁₃	semidirect
894. #479	C₂²×C₁₃	semidirect
895. #479	C₂²×C₁₃	semidirect
898. #478	C₂²×C₁₃	semidirect
899. #477	C₂²×C₁₃	semidirect
900. #477	C₂²×C₁₃	semidirect
902. #476	C₂²×C₁₃	semidirect
903. #475	C₂²×C₁₃	semidirect
908. #464	C₂²×C₁₃	semidirect
909. #464	C₂²×C₁₃	semidirect
910. #464	C₂²×C₁₃	semidirect
911. #464	C₂²×C₁₃	semidirect
923. #463	C₂²×C₁₃	semidirect
924. #463	C₂²×C₁₃	semidirect
925. #463	C₂²×C₁₃	semidirect
926. #463	C₂²×C₁₃	semidirect
927. #462	C₂²×C₁₃	semidirect
928. #461	C₂²×C₁₃	semidirect
929. #461	C₂²×C₁₃	semidirect
930. #461	C₂²×C₁₃	semidirect
932. #460	C₂²×C₁₃	semidirect
933. #460	C₂²×C₁₃	semidirect
934. #460	C₂²×C₁₃	semidirect
940. #459	C₂²×C₁₃	semidirect
953. #446	C₂²×C₁₃	semidirect
954. #446	C₂²×C₁₃	semidirect
955. #446	C₂²×C₁₃	semidirect
956. #446	C₂²×C₁₃	semidirect
957. #446	C₂²×C₁₃	semidirect
958. #446	C₂²×C₁₃	semidirect
959. C₈×Q₈	C₂²×C₁₃	semidirect
960. C₈×Q₈	C₂²×C₁₃	semidirect
964. #442	C₂²×C₁₃	semidirect
965. #441	C₂²×C₁₃	semidirect
966. #441	C₂²×C₁₃	semidirect
968. #440	C₂²×C₁₃	semidirect
969. #440	C₂²×C₁₃	semidirect
970. #440	C₂²×C₁₃	semidirect
971. #440	C₂²×C₁₃	semidirect
972. #440	C₂²×C₁₃	semidirect
973. C₄×Q₁₆	C₂²×C₁₃	semidirect
975. C₄×SD₁₆	C₂²×C₁₃	semidirect
976. C₄×SD₁₆	C₂²×C₁₃	semidirect
977. C₄×SD₁₆	C₂²×C₁₃	semidirect
978. C₄×SD₁₆	C₂²×C₁₃	semidirect
979. C₄×SD₁₆	C₂²×C₁₃	semidirect
983. C₄×D₈	C₂²×C₁₃	semidirect
984. C₄×D₈	C₂²×C₁₃	semidirect
1528. C₁₃	#61924	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×#3554	2
C₁₃×#3510	2
C₁₃×#3403	2
C₁₃×#3401	2
C₁₃×#3399	2
C₁₃×#3397	2
C₁₃×#3396	2
C₁₃×#3394	2
C₁₃×#3377	2
C₁₃×#3376	2
C₁₃×#3373	2
C₁₃×#3371	2
C₁₃×#3370	2
C₁₃×#3367	2
C₁₃×#3361	2
C₁₃×#3360	2
C₁₃×#3225	2
C₁₃×#3224	2
C₁₃×#3221	2
C₁₃×#3220	2
C₁₃×#3213	2
C₁₃×#3211	2
C₁₃×#3126	2
C₁₃×#3122	2
C₁₃×#3121	2
C₁₃×#3118	2
C₁₃×#3111	2
C₁₃×#3106	2
C₁₃×#2985	2
#61924	13

Subgroups — C13×#61924 #15748263

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61924 #15748263