Subgroups — C₁₃×#62138 #15748477

Order 3328.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3515	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3389	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3348	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3347	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3337	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3336	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3296	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3256	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3250	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3236	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3080	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#556	C₂²	1	1	yes	characteristic
34	C₁₃×#555	C₂²	1	1	yes	characteristic
35	C₁₃×#554	C₂²	1	1	yes	characteristic
36	C₁₃×#554	C₂²	1	1	yes	characteristic
37	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#553	—	2	1	no	—
39	C₁₃×#553	C₂²	1	1	yes	characteristic
40	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#552	—	2	1	no	—
42	C₁₃×#552	—	2	1	no	—
43	C₁₃×#552	—	2	1	no	—
44	C₁₃×#552	—	2	1	no	—
45	C₁₃×#552	C₂²	1	1	yes	characteristic
46	C₁₃×#552	C₂²	1	1	yes	characteristic
47	C₁₃×#552	C₂²	1	1	yes	characteristic
48	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#551	—	2	1	no	—
50	C₁₃×#551	—	2	1	no	—
51	C₁₃×#547	—	2	1	no	—
52	C₁₃×#547	C₂²	1	1	yes	characteristic
53	C₁₃×#547	C₂²	1	1	yes	characteristic
54	C₁₃×#546	C₂²	1	1	yes	characteristic
55	C₁₃×#546	C₂²	1	1	yes	characteristic
56	C₁₃×#541	—	2	1	no	—
57	C₁₃×#539	—	2	1	no	—
58	C₁₃×#539	—	2	1	no	—
59	C₁₃×#533	C₂²	1	1	yes	characteristic
60	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#529	—	2	1	no	—
62	C₁₃×#529	—	2	1	no	—
63	C₁₃×#529	C₂²	1	1	yes	characteristic
64	C₁₃×#529	C₂²	1	1	yes	characteristic
65	C₁₃×#529	C₂²	1	1	yes	characteristic
66	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
69	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#525	—	2	1	no	—
71	C₁₃×#520	—	2	1	no	—
72	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
73	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
74	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
75	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
76	C₂×C₁₃×#117	—	2	1	no	—
77	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#489	C₂²	1	1	yes	characteristic
86	C₁₃×#489	C₂²	1	1	yes	characteristic
87	C₁₃×#488	C₂²	1	1	yes	characteristic
88	C₁₃×#488	C₂²	1	1	yes	characteristic
89	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#484	C₂²	1	1	yes	characteristic
94	C₁₃×#484	C₂²	1	1	yes	characteristic
95	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#483	C₂²	1	1	yes	characteristic
97	C₁₃×#483	C₂²	1	1	yes	characteristic
98	C₁₃×#483	C₂²	1	1	yes	characteristic
99	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#482	C₂²	1	1	yes	characteristic
101	C₁₃×#482	C₂²	1	1	yes	characteristic
102	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#481	C₂²	1	1	yes	characteristic
105	C₁₃×#480	C₂²	1	1	yes	characteristic
106	C₁₃×#480	C₂²	1	1	yes	characteristic
107	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#478	C₂²	1	1	yes	characteristic
118	C₁₃×#478	C₂²	1	1	yes	characteristic
119	C₁₃×#478	C₂²	1	1	yes	characteristic
120	C₁₃×#478	C₂²	1	1	yes	characteristic
121	C₁₃×#478	C₂²	1	1	yes	characteristic
122	C₁₃×#478	C₂²	1	1	yes	characteristic
123	C₁₃×#478	C₂²	1	1	yes	characteristic
124	C₁₃×#478	C₂²	1	1	yes	characteristic
125	C₁₃×#478	C₂²	1	1	yes	characteristic
126	C₁₃×#478	C₂²	1	1	yes	characteristic
127	C₁₃×#478	C₂²	1	1	yes	characteristic
128	C₁₃×#478	C₂²	1	1	yes	characteristic
129	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#476	C₂²	1	1	yes	characteristic
133	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#474	C₂²	1	1	yes	characteristic
136	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#469	C₂²	1	1	yes	characteristic
139	C₁₃×#468	C₂²	1	1	yes	characteristic
140	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#467	C₂²	1	1	yes	characteristic
142	C₁₃×#467	C₂²	1	1	yes	characteristic
143	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#466	C₂²	1	1	yes	characteristic
145	C₁₃×#465	C₂²	1	1	yes	characteristic
146	C₁₃×#465	C₂²	1	1	yes	characteristic
147	C₁₃×#465	C₂²	1	1	yes	characteristic
148	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#464	C₂²	1	1	yes	characteristic
150	C₁₃×#464	C₂²	1	1	yes	characteristic
151	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#463	C₂²	1	1	yes	characteristic
154	C₁₃×#463	C₂²	1	1	yes	characteristic
155	C₁₃×#463	C₂²	1	1	yes	characteristic
156	C₁₃×#463	C₂²	1	1	yes	characteristic
157	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#452	C₂²	1	1	yes	characteristic
160	C₁₃×#452	C₂²	1	1	yes	characteristic
161	C₁₃×#450	C₂²	1	1	yes	characteristic
162	C₁₃×#449	C₂²	1	1	yes	characteristic
163	C₁₃×#449	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×#442	C₂²	1	1	yes	characteristic
168	C₁₃×#442	C₂²	1	1	yes	characteristic
169	C₁₃×#442	C₂²	1	1	yes	characteristic
170	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
171	C₁₃×#440	C₂²	1	1	yes	characteristic
172	C₁₃×#440	C₂²	1	1	yes	characteristic
173	C₁₃×#440	C₂²	1	1	yes	characteristic
174	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
179	C₁₃×#435	C₂²	1	1	yes	characteristic
180	C₁₃×#435	C₂²	1	1	yes	characteristic
181	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
182	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
183	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
185	C₁₃×#432	C₂²	1	1	yes	characteristic
186	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
192	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
193	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
194	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
196	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#417	C₂²	1	1	yes	characteristic
198	C₁₃×#417	C₂²	1	1	yes	characteristic
199	C₁₃×#416	C₂²	1	1	yes	characteristic
200	C₁₃×#416	C₂²	1	1	yes	characteristic
201	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
202	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₃	—	2	1	no	—
209	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×SD₁₆	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×D₈	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₁₃×C₄⋊Q₈	—	2	1	no	—
224	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×#126	—	2	1	no	—
229	C₁₃×#126	—	2	1	no	—
230	C₁₃×#126	—	2	1	no	—
231	C₁₃×#126	—	2	1	no	—
232	C₁₃×#126	—	2	1	no	—
233	C₁₃×#126	—	2	1	no	—
234	C₁₃×#126	—	2	1	no	—
235	C₁₃×#126	—	2	1	no	—
236	C₁₃×#126	—	2	1	no	—
237	C₁₃×#126	—	2	1	no	—
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#125	—	2	1	no	—
242	C₁₃×#125	—	2	1	no	—
243	C₁₃×#125	—	2	1	no	—
244	C₁₃×#125	—	2	1	no	—
245	C₁₃×#125	—	2	1	no	—
246	C₁₃×#125	—	2	1	no	—
247	C₁₃×#125	—	2	1	no	—
248	C₁₃×#125	—	2	1	no	—
249	C₁₃×#125	—	2	1	no	—
250	C₁₃×#125	—	2	1	no	—
251	C₁₃×#125	—	2	1	no	—
252	C₁₃×#125	—	2	1	no	—
253	C₁₃×#125	C₂³	1	1	yes	characteristic
254	C₁₃×#125	C₂³	1	1	yes	characteristic
255	C₁₃×#125	C₂³	1	1	yes	characteristic
256	C₁₃×#125	C₂³	1	1	yes	characteristic
257	C₁₃×#125	C₂³	1	1	yes	characteristic
258	C₁₃×#125	C₂³	1	1	yes	characteristic
259	C₁₃×#125	C₂³	1	1	yes	characteristic
260	C₁₃×#125	C₂³	1	1	yes	characteristic
261	C₁₃×#125	C₂³	1	1	yes	characteristic
262	C₁₃×#124	—	2	1	no	—
263	C₁₃×#124	—	2	1	no	—
264	C₁₃×#124	C₂³	1	1	yes	characteristic
265	C₁₃×#124	C₂³	1	1	yes	characteristic
266	C₁₃×#124	C₂³	1	1	yes	characteristic
267	C₁₃×#123	—	2	1	no	—
268	C₁₃×#123	—	2	1	no	—
269	C₁₃×#123	—	2	1	no	—
270	C₁₃×#123	—	2	1	no	—
271	C₁₃×#123	—	2	1	no	—
272	C₁₃×#123	—	2	1	no	—
273	C₁₃×#123	—	2	1	no	—
274	C₁₃×#123	—	2	1	no	—
275	C₁₃×#123	—	2	1	no	—
276	C₁₃×#123	—	2	1	no	—
277	C₁₃×#123	—	2	1	no	—
278	C₁₃×#123	—	2	1	no	—
279	C₁₃×#123	—	2	1	no	—
280	C₁₃×#123	—	2	1	no	—
281	C₁₃×#123	—	2	1	no	—
282	C₁₃×#123	—	2	1	no	—
283	C₁₃×#123	—	2	1	no	—
284	C₁₃×C₂²⋊Q₈	—	2	1	no	—
285	C₁₃×C₂²⋊Q₈	—	2	1	no	—
286	C₁₃×C₂²⋊Q₈	—	2	1	no	—
287	C₁₃×C₂²⋊Q₈	—	2	1	no	—
288	C₁₃×C₂²⋊Q₈	—	2	1	no	—
289	C₁₃×C₂²⋊Q₈	—	2	1	no	—
290	C₁₃×C₂²⋊Q₈	—	2	1	no	—
291	C₁₃×C₂²⋊Q₈	—	2	1	no	—
292	C₁₃×C₂²⋊Q₈	—	2	1	no	—
293	C₁₃×C₂²⋊Q₈	—	2	1	no	—
294	C₁₃×C₂²⋊Q₈	—	2	1	no	—
295	C₁₃×C₂²⋊Q₈	—	2	1	no	—
296	C₁₃×C₂²⋊Q₈	—	2	1	no	—
297	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
298	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
299	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
304	C₁₃×#121	—	2	1	no	—
305	C₁₃×#121	—	2	1	no	—
306	C₁₃×#121	—	2	1	no	—
307	C₁₃×#121	—	2	1	no	—
308	C₁₃×#121	—	2	1	no	—
309	C₁₃×#121	—	2	1	no	—
310	C₁₃×#121	C₂³	1	1	yes	characteristic
311	C₁₃×#121	C₂³	1	1	yes	characteristic
312	C₁₃×#121	C₂³	1	1	yes	characteristic
313	C₁₃×#121	C₂³	1	1	yes	characteristic
314	C₁₃×#121	C₂³	1	1	yes	characteristic
315	C₁₃×#120	—	2	1	no	—
316	C₁₃×#120	—	2	1	no	—
317	C₄×Q₈×C₁₃	—	2	1	no	—
318	C₄×Q₈×C₁₃	—	2	1	no	—
319	C₄×Q₈×C₁₃	—	2	1	no	—
320	C₄×Q₈×C₁₃	—	2	1	no	—
321	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
322	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
323	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
324	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
325	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
327	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
328	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
330	C₄×D₄×C₁₃	—	2	1	no	—
331	C₄×D₄×C₁₃	—	2	1	no	—
332	C₄×D₄×C₁₃	—	2	1	no	—
333	C₄×D₄×C₁₃	—	2	1	no	—
334	C₄×D₄×C₁₃	—	2	1	no	—
335	C₄×D₄×C₁₃	—	2	1	no	—
336	C₄×D₄×C₁₃	—	2	1	no	—
337	C₄×D₄×C₁₃	—	2	1	no	—
338	C₄×D₄×C₁₃	—	2	1	no	—
339	C₄×D₄×C₁₃	—	2	1	no	—
340	C₄×D₄×C₁₃	—	2	1	no	—
341	C₄×D₄×C₁₃	—	2	1	no	—
342	C₄×D₄×C₁₃	—	2	1	no	—
343	C₄×D₄×C₁₃	—	2	1	no	—
344	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
345	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
346	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
347	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
348	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
349	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
350	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
351	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
352	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
353	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
354	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
355	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
358	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
359	C₁₃×#117	—	2	1	no	—
360	C₁₃×#117	—	2	1	no	—
361	C₁₃×#117	—	2	1	no	—
362	C₁₃×#117	—	2	1	no	—
363	C₁₃×#117	—	2	1	no	—
364	C₁₃×#117	—	2	1	no	—
365	C₁₃×#117	—	2	1	no	—
366	C₁₃×#117	—	2	1	no	—
367	C₁₃×#117	—	2	1	no	—
368	C₁₃×#117	—	2	1	no	—
369	C₁₃×#117	—	2	1	no	—
370	C₁₃×#117	—	2	1	no	—
371	C₁₃×#117	—	2	1	no	—
372	C₁₃×#117	—	2	1	no	—
373	C₁₃×#117	D₄	1	1	yes	characteristic
374	C₁₃×#117	D₄	1	1	yes	characteristic
375	C₁₃×#117	D₄	1	1	yes	characteristic
376	C₁₃×#117	C₂³	1	1	yes	characteristic
377	C₁₃×#117	C₂³	1	1	yes	characteristic
378	C₁₃×#117	C₂³	1	1	yes	characteristic
379	C₁₃×#117	C₂³	1	1	yes	characteristic
380	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
381	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
388	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
389	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
390	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
391	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
393	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
394	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
395	C₂×C₄²×C₁₃	—	2	1	no	—
396	C₂×C₄²×C₁₃	—	2	1	no	—
397	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
398	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
399	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
400	C₁₃×#107	C₂³	1	1	yes	characteristic
401	C₁₃×#107	C₂³	1	1	yes	characteristic
402	C₁₃×#107	C₂³	1	1	yes	characteristic
403	C₁₃×#107	C₂³	1	1	yes	characteristic
404	C₁₃×#107	C₂³	1	1	yes	characteristic
405	C₁₃×#107	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#107	C₂³	1	1	yes	characteristic
408	C₁₃×#107	C₂³	1	1	yes	characteristic
409	C₁₃×#107	C₂³	1	1	yes	characteristic
410	C₁₃×#107	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#106	C₂³	1	1	yes	characteristic
413	C₁₃×#106	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×#106	C₂³	1	1	yes	characteristic
419	C₁₃×#106	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×#106	C₂³	1	1	yes	characteristic
424	C₁₃×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×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#102	C₂³	1	1	yes	characteristic
451	C₁₃×#102	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×#102	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₁₃×#97	C₂³	1	1	yes	characteristic
475	C₁₃×#97	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	#62138	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₁₃×#41	—	2	2	no	—
481	C₁₃×#41	—	2	2	no	—
482	C₁₃×#41	—	4	2	no	—
483	C₁₃×#41	—	4	1	no	—
484	C₁₃×#41	—	4	1	no	—
485	C₁₃×#41	—	4	4	no	—
486	C₂×Q₈×C₁₃	—	2	1	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×D₄×C₁₃	—	2	2	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	4	4	no	—
526	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₁₃×Q₁₆	—	4	1	no	—
536	C₁₃×Q₁₆	—	4	1	no	—
537	C₁₃×SD₁₆	—	2	2	no	—
538	C₁₃×SD₁₆	—	4	1	no	—
539	C₁₃×SD₁₆	—	4	1	no	—
540	C₁₃×SD₁₆	—	4	1	no	—
541	C₁₃×D₈	—	2	2	no	—
542	C₁₃×D₈	—	4	1	no	—
543	C₁₃×M₁₆	—	4	1	no	—
544	C₁₃×M₁₆	—	4	1	no	—
545	C₂×C₈×C₁₃	—	4	1	no	—
546	C₂×C₈×C₁₃	—	4	1	no	—
547	C₂×C₈×C₁₃	—	4	1	no	—
548	C₂×C₈×C₁₃	—	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	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	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	C₂⁴	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
647	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₁₃	—	2	1	no	—
653	C₄²×C₁₃	—	2	1	no	—
654	C₄²×C₁₃	—	2	1	no	—
655	C₄²×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
666	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
669	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
670	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
671	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
672	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
673	#3515	C₂×C₁₃	1	1	yes	characteristic, complemented
674	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
675	#3389	C₂×C₁₃	1	1	yes	characteristic, complemented
676	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
677	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
678	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
679	#3348	C₂×C₁₃	1	1	yes	characteristic, complemented
680	#3347	C₂×C₁₃	1	1	yes	characteristic, complemented
681	#3344	C₂×C₁₃	1	1	yes	characteristic, complemented
682	#3343	C₂×C₁₃	1	1	yes	characteristic, complemented
683	#3337	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3336	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3315	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3314	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3307	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3306	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3297	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3296	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3256	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3250	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3236	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3232	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3080	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
702	C₂×#478	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
704	C₂³×C₁₃	—	2	1	no	—
705	C₂³×C₁₃	—	2	1	no	—
706	C₂³×C₁₃	—	2	1	no	—
707	C₂³×C₁₃	—	4	2	no	—
708	C₂³×C₁₃	—	4	2	no	—
709	C₂³×C₁₃	—	8	1	no	—
710	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
711	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
712	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
713	Q₈×C₁₃	—	2	1	no	—
714	Q₈×C₁₃	—	2	1	no	—
715	Q₈×C₁₃	—	2	1	no	—
716	Q₈×C₁₃	—	2	1	no	—
717	Q₈×C₁₃	—	2	1	no	—
718	Q₈×C₁₃	—	2	1	no	—
719	Q₈×C₁₃	—	4	1	no	—
720	Q₈×C₁₃	—	4	2	no	—
721	Q₈×C₁₃	—	8	1	no	—
722	Q₈×C₁₃	—	8	1	no	—
723	D₄×C₁₃	—	2	2	no	—
724	D₄×C₁₃	—	2	2	no	—
725	D₄×C₁₃	—	2	1	no	—
726	D₄×C₁₃	—	2	1	no	—
727	D₄×C₁₃	—	2	1	no	—
728	D₄×C₁₃	—	2	1	no	—
729	D₄×C₁₃	—	2	1	no	—
730	D₄×C₁₃	—	4	1	no	—
731	D₄×C₁₃	—	4	2	no	—
732	D₄×C₁₃	—	4	2	no	—
733	D₄×C₁₃	—	4	2	no	—
734	D₄×C₁₃	—	4	2	no	—
735	D₄×C₁₃	—	4	2	no	—
736	D₄×C₁₃	—	8	1	no	—
737	D₄×C₁₃	—	8	1	no	—
738	D₄×C₁₃	—	8	1	no	—
739	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
740	C₂×C₄×C₁₃	—	2	2	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	2	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	—	4	1	no	—
761	C₂×C₄×C₁₃	—	4	1	no	—
762	C₂×C₄×C₁₃	—	4	1	no	—
763	C₂×C₄×C₁₃	—	4	1	no	—
764	C₂×C₄×C₁₃	—	4	1	no	—
765	C₂×C₄×C₁₃	—	4	2	no	—
766	C₂×C₄×C₁₃	—	4	2	no	—
767	C₂×C₄×C₁₃	—	4	2	no	—
768	C₂×C₄×C₁₃	—	4	2	no	—
769	C₂×C₄×C₁₃	—	4	2	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	—	4	2	no	—
774	C₂×C₄×C₁₃	—	4	2	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	C₂⁵	1	1	yes	characteristic
793	C₈×C₁₃	—	2	1	no	—
794	C₈×C₁₃	—	2	1	no	—
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	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
802	#556	C₂²×C₁₃	1	1	yes	characteristic
803	#555	C₂²×C₁₃	1	1	yes	characteristic
804	#554	C₂²×C₁₃	1	1	yes	characteristic
805	#554	C₂²×C₁₃	1	1	yes	characteristic
806	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
807	#553	—	2	1	no	—
808	#553	C₂²×C₁₃	1	1	yes	characteristic
809	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
810	#552	—	2	1	no	—
811	#552	—	2	1	no	—
812	#552	—	2	1	no	—
813	#552	—	2	1	no	—
814	#552	C₂²×C₁₃	1	1	yes	characteristic
815	#552	C₂²×C₁₃	1	1	yes	characteristic
816	#552	C₂²×C₁₃	1	1	yes	characteristic
817	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
818	#551	—	2	1	no	—
819	#551	—	2	1	no	—
820	#547	—	2	1	no	—
821	#547	C₂²×C₁₃	1	1	yes	characteristic
822	#547	C₂²×C₁₃	1	1	yes	characteristic
823	#546	C₂²×C₁₃	1	1	yes	characteristic
824	#546	C₂²×C₁₃	1	1	yes	characteristic
825	#541	—	2	1	no	—
826	#539	—	2	1	no	—
827	#539	—	2	1	no	—
828	#533	C₂²×C₁₃	1	1	yes	characteristic
829	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
830	#529	—	2	1	no	—
831	#529	—	2	1	no	—
832	#529	C₂²×C₁₃	1	1	yes	characteristic
833	#529	C₂²×C₁₃	1	1	yes	characteristic
834	#529	C₂²×C₁₃	1	1	yes	characteristic
835	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
837	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
838	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
839	#525	—	2	1	no	—
840	#520	—	2	1	no	—
841	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
842	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
843	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
844	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
845	C₂×#117	—	2	1	no	—
846	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
847	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
848	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
849	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
850	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#489	C₂²×C₁₃	1	1	yes	characteristic
855	#489	C₂²×C₁₃	1	1	yes	characteristic
856	#488	C₂²×C₁₃	1	1	yes	characteristic
857	#488	C₂²×C₁₃	1	1	yes	characteristic
858	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
860	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
861	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
862	#484	C₂²×C₁₃	1	1	yes	characteristic
863	#484	C₂²×C₁₃	1	1	yes	characteristic
864	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
865	#483	C₂²×C₁₃	1	1	yes	characteristic
866	#483	C₂²×C₁₃	1	1	yes	characteristic
867	#483	C₂²×C₁₃	1	1	yes	characteristic
868	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
869	#482	C₂²×C₁₃	1	1	yes	characteristic
870	#482	C₂²×C₁₃	1	1	yes	characteristic
871	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
873	#481	C₂²×C₁₃	1	1	yes	characteristic
874	#480	C₂²×C₁₃	1	1	yes	characteristic
875	#480	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	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#478	C₂²×C₁₃	1	1	yes	characteristic
887	#478	C₂²×C₁₃	1	1	yes	characteristic
888	#478	C₂²×C₁₃	1	1	yes	characteristic
889	#478	C₂²×C₁₃	1	1	yes	characteristic
890	#478	C₂²×C₁₃	1	1	yes	characteristic
891	#478	C₂²×C₁₃	1	1	yes	characteristic
892	#478	C₂²×C₁₃	1	1	yes	characteristic
893	#478	C₂²×C₁₃	1	1	yes	characteristic
894	#478	C₂²×C₁₃	1	1	yes	characteristic
895	#478	C₂²×C₁₃	1	1	yes	characteristic
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	#478	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	#475	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	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
907	#469	C₂²×C₁₃	1	1	yes	characteristic
908	#468	C₂²×C₁₃	1	1	yes	characteristic
909	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#467	C₂²×C₁₃	1	1	yes	characteristic
911	#467	C₂²×C₁₃	1	1	yes	characteristic
912	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#466	C₂²×C₁₃	1	1	yes	characteristic
914	#465	C₂²×C₁₃	1	1	yes	characteristic
915	#465	C₂²×C₁₃	1	1	yes	characteristic
916	#465	C₂²×C₁₃	1	1	yes	characteristic
917	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	#464	C₂²×C₁₃	1	1	yes	characteristic
919	#464	C₂²×C₁₃	1	1	yes	characteristic
920	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
921	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
922	#463	C₂²×C₁₃	1	1	yes	characteristic
923	#463	C₂²×C₁₃	1	1	yes	characteristic
924	#463	C₂²×C₁₃	1	1	yes	characteristic
925	#463	C₂²×C₁₃	1	1	yes	characteristic
926	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#452	C₂²×C₁₃	1	1	yes	characteristic
929	#452	C₂²×C₁₃	1	1	yes	characteristic
930	#450	C₂²×C₁₃	1	1	yes	characteristic
931	#449	C₂²×C₁₃	1	1	yes	characteristic
932	#449	C₂²×C₁₃	1	1	yes	characteristic
933	#447	C₂²×C₁₃	1	1	yes	characteristic
934	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	#442	C₂²×C₁₃	1	1	yes	characteristic
937	#442	C₂²×C₁₃	1	1	yes	characteristic
938	#442	C₂²×C₁₃	1	1	yes	characteristic
939	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#440	C₂²×C₁₃	1	1	yes	characteristic
941	#440	C₂²×C₁₃	1	1	yes	characteristic
942	#440	C₂²×C₁₃	1	1	yes	characteristic
943	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
945	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
946	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
948	#435	C₂²×C₁₃	1	1	yes	characteristic
949	#435	C₂²×C₁₃	1	1	yes	characteristic
950	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
951	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
953	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
954	#432	C₂²×C₁₃	1	1	yes	characteristic
955	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
958	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
962	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
963	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
965	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#417	C₂²×C₁₃	1	1	yes	characteristic
967	#417	C₂²×C₁₃	1	1	yes	characteristic
968	#416	C₂²×C₁₃	1	1	yes	characteristic
969	#416	C₂²×C₁₃	1	1	yes	characteristic
970	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
971	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
972	C₂²×C₁₃	—	2	1	no	—
973	C₂²×C₁₃	—	2	1	no	—
974	C₂²×C₁₃	—	2	1	no	—
975	C₂²×C₁₃	—	2	1	no	—
976	C₂²×C₁₃	—	2	1	no	—
977	C₂²×C₁₃	—	2	1	no	—
978	C₂²×C₁₃	—	2	2	no	—
979	C₂²×C₁₃	—	2	1	no	—
980	C₂²×C₁₃	—	2	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	—	8	4	no	—
990	C₂²×C₁₃	#575	1	2	yes	—
991	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	—	4	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1017	C₄×C₁₃	#585	1	1	yes	characteristic
1018	C₂×#41	—	2	1	no	—
1019	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
1020	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1021	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1022	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂³×C₄	—	2	1	no	—
1024	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1038	C₄⋊Q₈	—	2	1	no	—
1039	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1040	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1041	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1042	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1043	#126	—	2	1	no	—
1044	#126	—	2	1	no	—
1045	#126	—	2	1	no	—
1046	#126	—	2	1	no	—
1047	#126	—	2	1	no	—
1048	#126	—	2	1	no	—
1049	#126	—	2	1	no	—
1050	#126	—	2	1	no	—
1051	#126	—	2	1	no	—
1052	#126	—	2	1	no	—
1053	#126	—	2	1	no	—
1054	#126	—	2	1	no	—
1055	#126	—	2	1	no	—
1056	#125	—	2	1	no	—
1057	#125	—	2	1	no	—
1058	#125	—	2	1	no	—
1059	#125	—	2	1	no	—
1060	#125	—	2	1	no	—
1061	#125	—	2	1	no	—
1062	#125	—	2	1	no	—
1063	#125	—	2	1	no	—
1064	#125	—	2	1	no	—
1065	#125	—	2	1	no	—
1066	#125	—	2	1	no	—
1067	#125	—	2	1	no	—
1068	#125	C₂³×C₁₃	1	1	yes	characteristic
1069	#125	C₂³×C₁₃	1	1	yes	characteristic
1070	#125	C₂³×C₁₃	1	1	yes	characteristic
1071	#125	C₂³×C₁₃	1	1	yes	characteristic
1072	#125	C₂³×C₁₃	1	1	yes	characteristic
1073	#125	C₂³×C₁₃	1	1	yes	characteristic
1074	#125	C₂³×C₁₃	1	1	yes	characteristic
1075	#125	C₂³×C₁₃	1	1	yes	characteristic
1076	#125	C₂³×C₁₃	1	1	yes	characteristic
1077	#124	—	2	1	no	—
1078	#124	—	2	1	no	—
1079	#124	C₂³×C₁₃	1	1	yes	characteristic
1080	#124	C₂³×C₁₃	1	1	yes	characteristic
1081	#124	C₂³×C₁₃	1	1	yes	characteristic
1082	#123	—	2	1	no	—
1083	#123	—	2	1	no	—
1084	#123	—	2	1	no	—
1085	#123	—	2	1	no	—
1086	#123	—	2	1	no	—
1087	#123	—	2	1	no	—
1088	#123	—	2	1	no	—
1089	#123	—	2	1	no	—
1090	#123	—	2	1	no	—
1091	#123	—	2	1	no	—
1092	#123	—	2	1	no	—
1093	#123	—	2	1	no	—
1094	#123	—	2	1	no	—
1095	#123	—	2	1	no	—
1096	#123	—	2	1	no	—
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	—	2	1	no	—
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	2	1	no	—
1104	C₂²⋊Q₈	—	2	1	no	—
1105	C₂²⋊Q₈	—	2	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	2	1	no	—
1108	C₂²⋊Q₈	—	2	1	no	—
1109	C₂²⋊Q₈	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1113	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1114	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1115	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1116	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1117	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1118	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1119	#121	—	2	1	no	—
1120	#121	—	2	1	no	—
1121	#121	—	2	1	no	—
1122	#121	—	2	1	no	—
1123	#121	—	2	1	no	—
1124	#121	—	2	1	no	—
1125	#121	C₂³×C₁₃	1	1	yes	characteristic
1126	#121	C₂³×C₁₃	1	1	yes	characteristic
1127	#121	C₂³×C₁₃	1	1	yes	characteristic
1128	#121	C₂³×C₁₃	1	1	yes	characteristic
1129	#121	C₂³×C₁₃	1	1	yes	characteristic
1130	#120	—	2	1	no	—
1131	#120	—	2	1	no	—
1132	C₄×Q₈	—	2	1	no	—
1133	C₄×Q₈	—	2	1	no	—
1134	C₄×Q₈	—	2	1	no	—
1135	C₄×Q₈	—	2	1	no	—
1136	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
1137	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1138	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1139	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1140	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1141	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1142	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1143	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1144	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	2	1	no	—
1149	C₄×D₄	—	2	1	no	—
1150	C₄×D₄	—	2	1	no	—
1151	C₄×D₄	—	2	1	no	—
1152	C₄×D₄	—	2	1	no	—
1153	C₄×D₄	—	2	1	no	—
1154	C₄×D₄	—	2	1	no	—
1155	C₄×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1160	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1161	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1162	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1163	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1164	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1165	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1166	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1167	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1168	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1169	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1170	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1171	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1172	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1173	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1174	#117	—	2	1	no	—
1175	#117	—	2	1	no	—
1176	#117	—	2	1	no	—
1177	#117	—	2	1	no	—
1178	#117	—	2	1	no	—
1179	#117	—	2	1	no	—
1180	#117	—	2	1	no	—
1181	#117	—	2	1	no	—
1182	#117	—	2	1	no	—
1183	#117	—	2	1	no	—
1184	#117	—	2	1	no	—
1185	#117	—	2	1	no	—
1186	#117	—	2	1	no	—
1187	#117	—	2	1	no	—
1188	#117	D₄×C₁₃	1	1	yes	characteristic
1189	#117	D₄×C₁₃	1	1	yes	characteristic
1190	#117	D₄×C₁₃	1	1	yes	characteristic
1191	#117	C₂³×C₁₃	1	1	yes	characteristic
1192	#117	C₂³×C₁₃	1	1	yes	characteristic
1193	#117	C₂³×C₁₃	1	1	yes	characteristic
1194	#117	C₂³×C₁₃	1	1	yes	characteristic
1195	C₂×C₄⋊C₄	—	2	1	no	—
1196	C₂×C₄⋊C₄	—	2	1	no	—
1197	C₂×C₄⋊C₄	—	2	1	no	—
1198	C₂×C₄⋊C₄	—	2	1	no	—
1199	C₂×C₄⋊C₄	—	2	1	no	—
1200	C₂×C₄⋊C₄	—	2	1	no	—
1201	C₂×C₄⋊C₄	—	2	1	no	—
1202	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1203	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1204	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1205	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1206	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1207	C₂×C₂²⋊C₄	—	2	1	no	—
1208	C₂×C₂²⋊C₄	—	2	1	no	—
1209	C₂×C₂²⋊C₄	—	2	1	no	—
1210	C₂×C₄²	—	2	1	no	—
1211	C₂×C₄²	—	2	1	no	—
1212	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1213	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1214	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1215	#107	C₂³×C₁₃	1	1	yes	characteristic
1216	#107	C₂³×C₁₃	1	1	yes	characteristic
1217	#107	C₂³×C₁₃	1	1	yes	characteristic
1218	#107	C₂³×C₁₃	1	1	yes	characteristic
1219	#107	C₂³×C₁₃	1	1	yes	characteristic
1220	#107	C₂³×C₁₃	1	1	yes	characteristic
1221	#107	C₂³×C₁₃	1	1	yes	characteristic
1222	#107	C₂³×C₁₃	1	1	yes	characteristic
1223	#107	C₂³×C₁₃	1	1	yes	characteristic
1224	#107	C₂³×C₁₃	1	1	yes	characteristic
1225	#107	C₂³×C₁₃	1	1	yes	characteristic
1226	#107	C₂³×C₁₃	1	1	yes	characteristic
1227	#106	C₂³×C₁₃	1	1	yes	characteristic
1228	#106	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	#106	C₂³×C₁₃	1	1	yes	characteristic
1234	#106	C₂³×C₁₃	1	1	yes	characteristic
1235	#106	C₂³×C₁₃	1	1	yes	characteristic
1236	#106	C₂³×C₁₃	1	1	yes	characteristic
1237	#106	C₂³×C₁₃	1	1	yes	characteristic
1238	#106	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	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1247	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1248	C₄⋊C₈	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	#103	C₂³×C₁₃	1	1	yes	characteristic
1264	#103	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	#102	C₂³×C₁₃	1	1	yes	characteristic
1278	#102	C₂³×C₁₃	1	1	yes	characteristic
1279	#102	C₂³×C₁₃	1	1	yes	characteristic
1280	#102	C₂³×C₁₃	1	1	yes	characteristic
1281	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1282	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1283	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1284	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1287	#97	C₂³×C₁₃	1	1	yes	characteristic
1288	#97	C₂³×C₁₃	1	1	yes	characteristic
1289	#97	C₂³×C₁₃	1	1	yes	characteristic
1290	#97	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	—	2	2	no	—
1294	C₂×C₁₃	—	4	1	no	—
1295	C₂×C₁₃	—	4	1	no	—
1296	C₂×C₁₃	—	4	2	no	—
1297	C₂×C₁₃	—	8	1	no	—
1298	C₂×C₁₃	—	8	1	no	—
1299	C₂×C₁₃	#3489	1	1	yes	characteristic
1300	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1301	C₂×C₁₃	#3584	1	1	yes	characteristic
1302	C₂⁴	—	2	1	no	—
1303	#41	—	2	2	no	—
1304	#41	—	2	2	no	—
1305	#41	—	4	2	no	—
1306	#41	—	4	1	no	—
1307	#41	—	4	1	no	—
1308	#41	—	4	4	no	—
1309	C₂×Q₈	—	2	1	no	—
1310	C₂×Q₈	—	2	1	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1313	C₂×Q₈	C₂⁴×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×D₄	—	2	2	no	—
1317	C₂×D₄	—	2	1	no	—
1318	C₂×D₄	—	2	1	no	—
1319	C₂×D₄	—	2	1	no	—
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	—	4	1	no	—
1326	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1327	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1328	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂²×C₄	—	2	1	no	—
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	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	4	4	no	—
1349	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1350	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1351	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1352	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1353	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1354	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1358	Q₁₆	—	4	1	no	—
1359	Q₁₆	—	4	1	no	—
1360	SD₁₆	—	2	2	no	—
1361	SD₁₆	—	4	1	no	—
1362	SD₁₆	—	4	1	no	—
1363	SD₁₆	—	4	1	no	—
1364	D₈	—	2	2	no	—
1365	D₈	—	4	1	no	—
1366	M₁₆	—	4	1	no	—
1367	M₁₆	—	4	1	no	—
1368	C₂×C₈	—	4	1	no	—
1369	C₂×C₈	—	4	1	no	—
1370	C₂×C₈	—	4	1	no	—
1371	C₂×C₈	—	4	1	no	—
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	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
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	C₂⁴×C₁₃	1	1	yes	characteristic
1429	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1430	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×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	C₂×D₄×C₁₃	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1487	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1488	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1489	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1490	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1491	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1492	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1493	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1494	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1495	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1496	C₁₃	#62138	1	1	yes	characteristic, direct product factor, Sylow
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	4	2	no	—
1501	C₂³	—	4	2	no	—
1502	C₂³	—	8	1	no	—
1503	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1504	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1505	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1506	Q₈	—	2	1	no	—
1507	Q₈	—	2	1	no	—
1508	Q₈	—	2	1	no	—
1509	Q₈	—	2	1	no	—
1510	Q₈	—	2	1	no	—
1511	Q₈	—	2	1	no	—
1512	Q₈	—	4	1	no	—
1513	Q₈	—	4	2	no	—
1514	Q₈	—	8	1	no	—
1515	Q₈	—	8	1	no	—
1516	D₄	—	2	2	no	—
1517	D₄	—	2	2	no	—
1518	D₄	—	2	1	no	—
1519	D₄	—	2	1	no	—
1520	D₄	—	2	1	no	—
1521	D₄	—	2	1	no	—
1522	D₄	—	2	1	no	—
1523	D₄	—	4	1	no	—
1524	D₄	—	4	2	no	—
1525	D₄	—	4	2	no	—
1526	D₄	—	4	2	no	—
1527	D₄	—	4	2	no	—
1528	D₄	—	4	2	no	—
1529	D₄	—	8	1	no	—
1530	D₄	—	8	1	no	—
1531	D₄	—	8	1	no	—
1532	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1533	C₂×C₄	—	2	2	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	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	—	4	1	no	—
1554	C₂×C₄	—	4	1	no	—
1555	C₂×C₄	—	4	1	no	—
1556	C₂×C₄	—	4	1	no	—
1557	C₂×C₄	—	4	1	no	—
1558	C₂×C₄	—	4	2	no	—
1559	C₂×C₄	—	4	2	no	—
1560	C₂×C₄	—	4	2	no	—
1561	C₂×C₄	—	4	2	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	4	2	no	—
1564	C₂×C₄	—	4	2	no	—
1565	C₂×C₄	—	4	2	no	—
1566	C₂×C₄	—	4	2	no	—
1567	C₂×C₄	—	4	2	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	—	8	1	no	—
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	C₂⁵×C₁₃	1	1	yes	characteristic
1586	C₈	—	2	1	no	—
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	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	2	1	no	—
1602	C₂²	—	2	2	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	—	4	1	no	—
1611	C₂²	—	8	4	no	—
1612	C₂²	C₁₃×#575	1	2	yes	—
1613	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
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	—	4	1	no	—
1638	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1639	C₄	C₁₃×#585	1	1	yes	characteristic
1640	C₂	—	2	2	no	—
1641	C₂	—	4	1	no	—
1642	C₂	—	4	1	no	—
1643	C₂	—	4	2	no	—
1644	C₂	—	8	1	no	—
1645	C₂	—	8	1	no	—
1646	C₂	C₁₃×#3489	1	1	yes	characteristic
1647	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1648	C₂	C₁₃×#3584	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3515	C₂	semidirect
2. C₁₃×#3475	C₂	semidirect
3. C₁₃×#3389	C₂	semidirect
4. C₁₃×#3388	C₂	semidirect
5. C₁₃×#3377	C₂	semidirect
6. C₁₃×#3376	C₂	semidirect
7. C₁₃×#3348	C₂	semidirect
8. C₁₃×#3347	C₂	semidirect
9. C₁₃×#3344	C₂	semidirect
10. C₁₃×#3343	C₂	semidirect
11. C₁₃×#3337	C₂	semidirect
12. C₁₃×#3336	C₂	semidirect
13. C₁₃×#3315	C₂	semidirect
14. C₁₃×#3314	C₂	semidirect
15. C₁₃×#3307	C₂	semidirect
16. C₁₃×#3306	C₂	semidirect
17. C₁₃×#3297	C₂	semidirect
18. C₁₃×#3296	C₂	semidirect
19. C₁₃×#3256	C₂	semidirect
20. C₁₃×#3250	C₂	semidirect
21. C₁₃×#3248	C₂	semidirect
22. C₁₃×#3240	C₂	semidirect
23. C₁₃×#3236	C₂	semidirect
24. C₁₃×#3232	C₂	semidirect
25. C₁₃×#3114	C₂	semidirect
26. C₁₃×#3111	C₂	semidirect
27. C₁₃×#3102	C₂	semidirect
28. C₁₃×#3080	C₂	semidirect
29. C₁₃×#3076	C₂	semidirect
30. C₂×C₁₃×#478	C₂	semidirect
31. C₁₃×#2990	C₂	semidirect
32. C₁₃×#557	C₂²	semidirect
37. C₁₃×#554	C₂²	semidirect
40. C₁₃×#553	C₂²	semidirect
48. C₁₃×#552	C₂²	semidirect
60. C₁₃×#533	C₂²	semidirect
66. C₁₃×#529	C₂²	semidirect
67. C₁₃×#529	C₂²	semidirect
69. C₂×C₁₃×#125	C₂²	semidirect
77. C₁₃×#501	C₂²	semidirect
78. C₁₃×#501	C₂²	semidirect
79. C₁₃×#501	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
81. C₁₃×#499	C₂²	semidirect
82. C₁₃×#499	C₂²	semidirect
83. C₁₃×#491	C₂²	semidirect
84. C₁₃×#491	C₂²	semidirect
89. C₁₃×#485	C₂²	semidirect
90. C₁₃×#485	C₂²	semidirect
91. C₁₃×#485	C₂²	semidirect
92. C₁₃×#485	C₂²	semidirect
95. C₁₃×#484	C₂²	semidirect
99. C₁₃×#483	C₂²	semidirect
102. C₁₃×#482	C₂²	semidirect
103. C₁₃×#482	C₂²	semidirect
107. C₁₃×#479	C₂²	semidirect
108. C₁₃×#479	C₂²	semidirect
109. C₁₃×#479	C₂²	semidirect
110. C₁₃×#479	C₂²	semidirect
111. C₁₃×#479	C₂²	semidirect
112. C₁₃×#479	C₂²	semidirect
113. C₁₃×#479	C₂²	semidirect
114. C₁₃×#479	C₂²	semidirect
115. C₁₃×#479	C₂²	semidirect
116. C₁₃×#479	C₂²	semidirect
129. C₁₃×#478	C₂²	semidirect
130. C₁₃×#478	C₂²	semidirect
131. C₁₃×#477	C₂²	semidirect
133. C₁₃×#475	C₂²	semidirect
134. C₁₃×#475	C₂²	semidirect
136. C₁₃×#474	C₂²	semidirect
137. C₁₃×#470	C₂²	semidirect
140. C₁₃×#468	C₂²	semidirect
143. C₁₃×#467	C₂²	semidirect
148. C₁₃×#465	C₂²	semidirect
151. C₁₃×#464	C₂²	semidirect
152. C₁₃×#464	C₂²	semidirect
157. C₁₃×#462	C₂²	semidirect
158. C₁₃×#461	C₂²	semidirect
165. C₁₃×#446	C₂²	semidirect
166. C₁₃×#446	C₂²	semidirect
170. C₁₃×#441	C₂²	semidirect
174. C₁₃×#440	C₂²	semidirect
175. C₄×C₁₃×Q₁₆	C₂²	semidirect
177. C₄×C₁₃×SD₁₆	C₂²	semidirect
181. C₁₃×#435	C₂²	semidirect
182. C₁₃×#435	C₂²	semidirect
186. C₁₃×#432	C₂²	semidirect
187. C₁₃×#431	C₂²	semidirect
188. C₁₃×#428	C₂²	semidirect
189. C₁₃×#428	C₂²	semidirect
190. C₁₃×#427	C₂²	semidirect
191. C₁₃×#427	C₂²	semidirect
194. C₁₃×#423	C₂²	semidirect
196. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
478. #62138	C₁₃	direct (N × H)
673. #3515	C₂×C₁₃	semidirect
674. #3475	C₂×C₁₃	semidirect
675. #3389	C₂×C₁₃	semidirect
676. #3388	C₂×C₁₃	semidirect
677. #3377	C₂×C₁₃	semidirect
678. #3376	C₂×C₁₃	semidirect
679. #3348	C₂×C₁₃	semidirect
680. #3347	C₂×C₁₃	semidirect
681. #3344	C₂×C₁₃	semidirect
682. #3343	C₂×C₁₃	semidirect
683. #3337	C₂×C₁₃	semidirect
684. #3336	C₂×C₁₃	semidirect
685. #3315	C₂×C₁₃	semidirect
686. #3314	C₂×C₁₃	semidirect
687. #3307	C₂×C₁₃	semidirect
688. #3306	C₂×C₁₃	semidirect
689. #3297	C₂×C₁₃	semidirect
690. #3296	C₂×C₁₃	semidirect
691. #3256	C₂×C₁₃	semidirect
692. #3250	C₂×C₁₃	semidirect
693. #3248	C₂×C₁₃	semidirect
694. #3240	C₂×C₁₃	semidirect
695. #3236	C₂×C₁₃	semidirect
696. #3232	C₂×C₁₃	semidirect
697. #3114	C₂×C₁₃	semidirect
698. #3111	C₂×C₁₃	semidirect
699. #3102	C₂×C₁₃	semidirect
700. #3080	C₂×C₁₃	semidirect
701. #3076	C₂×C₁₃	semidirect
702. C₂×#478	C₂×C₁₃	semidirect
703. #2990	C₂×C₁₃	semidirect
801. #557	C₂²×C₁₃	semidirect
806. #554	C₂²×C₁₃	semidirect
809. #553	C₂²×C₁₃	semidirect
817. #552	C₂²×C₁₃	semidirect
829. #533	C₂²×C₁₃	semidirect
835. #529	C₂²×C₁₃	semidirect
836. #529	C₂²×C₁₃	semidirect
838. C₂×#125	C₂²×C₁₃	semidirect
846. #501	C₂²×C₁₃	semidirect
847. #501	C₂²×C₁₃	semidirect
848. #501	C₂²×C₁₃	semidirect
849. #501	C₂²×C₁₃	semidirect
850. #499	C₂²×C₁₃	semidirect
851. #499	C₂²×C₁₃	semidirect
852. #491	C₂²×C₁₃	semidirect
853. #491	C₂²×C₁₃	semidirect
858. #485	C₂²×C₁₃	semidirect
859. #485	C₂²×C₁₃	semidirect
860. #485	C₂²×C₁₃	semidirect
861. #485	C₂²×C₁₃	semidirect
864. #484	C₂²×C₁₃	semidirect
868. #483	C₂²×C₁₃	semidirect
871. #482	C₂²×C₁₃	semidirect
872. #482	C₂²×C₁₃	semidirect
876. #479	C₂²×C₁₃	semidirect
877. #479	C₂²×C₁₃	semidirect
878. #479	C₂²×C₁₃	semidirect
879. #479	C₂²×C₁₃	semidirect
880. #479	C₂²×C₁₃	semidirect
881. #479	C₂²×C₁₃	semidirect
882. #479	C₂²×C₁₃	semidirect
883. #479	C₂²×C₁₃	semidirect
884. #479	C₂²×C₁₃	semidirect
885. #479	C₂²×C₁₃	semidirect
898. #478	C₂²×C₁₃	semidirect
899. #478	C₂²×C₁₃	semidirect
900. #477	C₂²×C₁₃	semidirect
902. #475	C₂²×C₁₃	semidirect
903. #475	C₂²×C₁₃	semidirect
905. #474	C₂²×C₁₃	semidirect
906. #470	C₂²×C₁₃	semidirect
909. #468	C₂²×C₁₃	semidirect
912. #467	C₂²×C₁₃	semidirect
917. #465	C₂²×C₁₃	semidirect
920. #464	C₂²×C₁₃	semidirect
921. #464	C₂²×C₁₃	semidirect
926. #462	C₂²×C₁₃	semidirect
927. #461	C₂²×C₁₃	semidirect
934. #446	C₂²×C₁₃	semidirect
935. #446	C₂²×C₁₃	semidirect
939. #441	C₂²×C₁₃	semidirect
943. #440	C₂²×C₁₃	semidirect
944. C₄×Q₁₆	C₂²×C₁₃	semidirect
946. C₄×SD₁₆	C₂²×C₁₃	semidirect
950. #435	C₂²×C₁₃	semidirect
951. #435	C₂²×C₁₃	semidirect
955. #432	C₂²×C₁₃	semidirect
956. #431	C₂²×C₁₃	semidirect
957. #428	C₂²×C₁₃	semidirect
958. #428	C₂²×C₁₃	semidirect
959. #427	C₂²×C₁₃	semidirect
960. #427	C₂²×C₁₃	semidirect
963. #423	C₂²×C₁₃	semidirect
965. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1496. C₁₃	#62138	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×#3515	2
C₁₃×#3475	2
C₁₃×#3389	2
C₁₃×#3388	2
C₁₃×#3377	2
C₁₃×#3376	2
C₁₃×#3348	2
C₁₃×#3347	2
C₁₃×#3344	2
C₁₃×#3343	2
C₁₃×#3337	2
C₁₃×#3336	2
C₁₃×#3315	2
C₁₃×#3314	2
C₁₃×#3307	2
C₁₃×#3306	2
C₁₃×#3297	2
C₁₃×#3296	2
C₁₃×#3256	2
C₁₃×#3250	2
C₁₃×#3248	2
C₁₃×#3240	2
C₁₃×#3236	2
C₁₃×#3232	2
C₁₃×#3114	2
C₁₃×#3111	2
C₁₃×#3102	2
C₁₃×#3080	2
C₁₃×#3076	2
C₂×C₁₃×#478	2
C₁₃×#2990	2
#62138	13

Subgroups — C13×#62138 #15748477

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62138 #15748477