Subgroups — C₁₃×#62085 #15748424

Order 3328.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3322	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3309	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3262	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3222	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3043	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2995	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
38	C₁₃×#560	—	2	1	no	—
39	C₁₃×#560	—	2	1	no	—
40	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#556	—	2	1	no	—
42	C₁₃×#556	C₂²	1	1	yes	characteristic
43	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#554	—	2	1	no	—
45	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#553	—	2	1	no	—
47	C₁₃×#553	—	2	1	no	—
48	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#552	—	2	1	no	—
50	C₁₃×#552	C₂²	1	1	yes	characteristic
51	C₁₃×#550	C₂²	1	1	yes	characteristic
52	C₁₃×#550	C₂²	1	1	yes	characteristic
53	C₁₃×#550	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#548	C₂²	1	1	yes	characteristic
56	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#547	C₂²	1	1	yes	characteristic
58	C₁₃×#546	—	2	1	no	—
59	C₁₃×#546	C₂²	1	1	yes	characteristic
60	C₁₃×#546	C₂²	1	1	yes	characteristic
61	D₄²×C₁₃	C₂²	1	1	yes	characteristic
62	C₁₃×#542	—	2	1	no	—
63	C₁₃×#542	C₂²	1	1	yes	characteristic
64	C₁₃×#542	C₂²	1	1	yes	characteristic
65	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#541	—	2	1	no	—
67	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#538	—	2	1	no	—
69	C₁₃×#538	—	2	1	no	—
70	C₁₃×#537	—	2	1	no	—
71	C₁₃×#535	—	2	1	no	—
72	C₁₃×#535	C₂²	1	1	yes	characteristic
73	C₁₃×#535	C₂²	1	1	yes	characteristic
74	C₁₃×#532	C₂²	1	1	yes	characteristic
75	C₁₃×#532	C₂²	1	1	yes	characteristic
76	C₁₃×#529	—	2	1	no	—
77	C₁₃×#529	—	2	1	no	—
78	C₁₃×#529	C₂²	1	1	yes	characteristic
79	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#497	C₂²	1	1	yes	characteristic
84	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#496	C₂²	1	1	yes	characteristic
86	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#495	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×#490	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#489	C₂²	1	1	yes	characteristic
93	C₁₃×#488	C₂²	1	1	yes	characteristic
94	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#482	C₂²	1	1	yes	characteristic
98	C₁₃×#480	C₂²	1	1	yes	characteristic
99	C₁₃×#480	C₂²	1	1	yes	characteristic
100	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#478	C₂²	1	1	yes	characteristic
103	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#469	C₂²	1	1	yes	characteristic
113	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#468	C₂²	1	1	yes	characteristic
115	C₁₃×#468	C₂²	1	1	yes	characteristic
116	C₁₃×#468	C₂²	1	1	yes	characteristic
117	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#466	C₂²	1	1	yes	characteristic
122	C₁₃×#465	C₂²	1	1	yes	characteristic
123	C₁₃×#464	C₂²	1	1	yes	characteristic
124	C₁₃×#464	C₂²	1	1	yes	characteristic
125	C₁₃×#464	C₂²	1	1	yes	characteristic
126	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
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×#462	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#462	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
145	C₁₃×#460	C₂²	1	1	yes	characteristic
146	C₁₃×#460	C₂²	1	1	yes	characteristic
147	C₁₃×#460	C₂²	1	1	yes	characteristic
148	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
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, complemented
154	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#450	C₂²	1	1	yes	characteristic
161	C₁₃×#450	C₂²	1	1	yes	characteristic
162	C₁₃×#450	C₂²	1	1	yes	characteristic
163	C₁₃×#449	C₂²	1	1	yes	characteristic
164	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#448	C₂²	1	1	yes	characteristic
168	C₁₃×#448	C₂²	1	1	yes	characteristic
169	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#447	C₂²	1	1	yes	characteristic
171	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
172	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
173	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#440	C₂²	1	1	yes	characteristic
175	C₁₃×#440	C₂²	1	1	yes	characteristic
176	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
177	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
178	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
179	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
180	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
186	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#435	C₂²	1	1	yes	characteristic
188	C₁₃×#435	C₂²	1	1	yes	characteristic
189	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
196	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#418	C₂²	1	1	yes	characteristic
198	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
199	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
200	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
201	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₃×#102	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	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₁₃	—	2	1	no	—
213	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₁₃×#137	—	4	2	no	—
216	C₁₃×#137	—	4	2	no	—
217	C₁₃×#137	—	4	2	no	—
218	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
219	C₁₃×#135	—	4	2	no	—
220	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	—	4	2	no	—
227	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₁₃×C₄⋊Q₈	—	2	1	no	—
252	C₁₃×C₄⋊Q₈	—	2	1	no	—
253	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₃×#127	—	2	1	no	—
258	C₁₃×#127	—	2	1	no	—
259	C₁₃×#127	C₂³	1	1	yes	characteristic
260	C₁₃×#127	C₂³	1	1	yes	characteristic
261	C₁₃×#127	C₂³	1	1	yes	characteristic
262	C₁₃×#127	C₂³	1	1	yes	characteristic
263	C₁₃×#126	—	2	1	no	—
264	C₁₃×#126	—	2	1	no	—
265	C₁₃×#126	—	2	1	no	—
266	C₁₃×#126	—	2	1	no	—
267	C₁₃×#126	—	2	1	no	—
268	C₁₃×#126	—	2	1	no	—
269	C₁₃×#126	—	2	1	no	—
270	C₁₃×#126	—	2	1	no	—
271	C₁₃×#126	—	2	1	no	—
272	C₁₃×#126	—	2	1	no	—
273	C₁₃×#126	—	2	1	no	—
274	C₁₃×#126	—	2	1	no	—
275	C₁₃×#126	D₄	1	1	yes	characteristic
276	C₁₃×#126	D₄	1	1	yes	characteristic
277	C₁₃×#125	—	2	1	no	—
278	C₁₃×#125	—	2	1	no	—
279	C₁₃×#125	—	2	1	no	—
280	C₁₃×#125	—	2	1	no	—
281	C₁₃×#125	—	2	1	no	—
282	C₁₃×#125	—	2	1	no	—
283	C₁₃×#125	D₄	1	1	yes	characteristic
284	C₁₃×#125	C₂³	1	1	yes	characteristic
285	C₁₃×#125	C₂³	1	1	yes	characteristic
286	C₁₃×#124	—	2	1	no	—
287	C₁₃×#124	—	2	1	no	—
288	C₁₃×#124	—	2	1	no	—
289	C₁₃×#124	—	2	1	no	—
290	C₁₃×#124	—	2	1	no	—
291	C₁₃×#124	—	2	1	no	—
292	C₁₃×#124	D₄	1	1	yes	characteristic
293	C₁₃×#124	C₂³	1	1	yes	characteristic
294	C₁₃×#124	C₂³	1	1	yes	characteristic
295	C₁₃×#124	C₂³	1	1	yes	characteristic
296	C₁₃×#124	C₂³	1	1	yes	characteristic
297	C₁₃×#124	C₂³	1	1	yes	characteristic
298	C₁₃×#124	C₂³	1	1	yes	characteristic
299	C₁₃×#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	D₄	1	1	yes	characteristic
310	C₁₃×#123	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
323	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
328	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
329	C₁₃×#121	—	2	1	no	—
330	C₁₃×#121	—	2	1	no	—
331	C₁₃×#121	—	2	1	no	—
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	—	2	1	no	—
343	C₁₃×#121	—	2	1	no	—
344	C₁₃×#121	—	2	1	no	—
345	C₁₃×#121	—	2	1	no	—
346	C₁₃×#121	—	2	1	no	—
347	C₁₃×#121	—	2	1	no	—
348	C₁₃×#121	—	2	1	no	—
349	C₁₃×#121	—	2	1	no	—
350	C₁₃×#121	D₄	1	1	yes	characteristic
351	C₁₃×#121	C₂³	1	1	yes	characteristic
352	C₁₃×#121	C₂³	1	1	yes	characteristic
353	C₁₃×#121	C₂³	1	1	yes	characteristic
354	C₁₃×#121	C₂³	1	1	yes	characteristic
355	C₁₃×#121	C₂³	1	1	yes	characteristic
356	C₁₃×#121	C₂³	1	1	yes	characteristic
357	C₁₃×#120	—	2	1	no	—
358	C₁₃×#120	—	2	1	no	—
359	C₁₃×#120	—	2	1	no	—
360	C₁₃×#120	—	2	1	no	—
361	C₁₃×#120	—	2	1	no	—
362	C₁₃×#120	—	2	1	no	—
363	C₁₃×#120	—	2	1	no	—
364	C₁₃×#120	—	2	1	no	—
365	C₄×Q₈×C₁₃	—	2	1	no	—
366	C₄×Q₈×C₁₃	—	2	1	no	—
367	C₄×Q₈×C₁₃	—	2	1	no	—
368	C₄×Q₈×C₁₃	—	2	1	no	—
369	C₄×Q₈×C₁₃	—	2	1	no	—
370	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
375	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
376	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
377	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
378	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
379	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
380	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₁₃	—	2	1	no	—
382	C₄×D₄×C₁₃	—	2	1	no	—
383	C₄×D₄×C₁₃	—	2	1	no	—
384	C₄×D₄×C₁₃	—	2	1	no	—
385	C₄×D₄×C₁₃	—	2	1	no	—
386	C₄×D₄×C₁₃	—	2	1	no	—
387	C₄×D₄×C₁₃	—	2	1	no	—
388	C₄×D₄×C₁₃	—	2	1	no	—
389	C₄×D₄×C₁₃	—	2	1	no	—
390	C₄×D₄×C₁₃	—	2	1	no	—
391	C₄×D₄×C₁₃	—	2	1	no	—
392	C₄×D₄×C₁₃	—	2	1	no	—
393	C₄×D₄×C₁₃	—	2	1	no	—
394	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
403	C₁₃×#117	—	2	1	no	—
404	C₁₃×#117	—	2	1	no	—
405	C₁₃×#117	—	2	1	no	—
406	C₁₃×#117	—	2	1	no	—
407	C₁₃×#117	—	2	1	no	—
408	C₁₃×#117	—	2	1	no	—
409	C₁₃×#117	—	2	1	no	—
410	C₁₃×#117	C₂³	1	1	yes	characteristic
411	C₁₃×#117	C₂³	1	1	yes	characteristic
412	C₁₃×#117	C₂³	1	1	yes	characteristic
413	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
417	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
420	C₂×C₄²×C₁₃	—	2	1	no	—
421	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
422	C₁₃×#107	C₂³	1	1	yes	characteristic
423	C₁₃×#107	C₂³	1	1	yes	characteristic
424	C₁₃×#107	C₂³	1	1	yes	characteristic
425	C₁₃×#107	C₂³	1	1	yes	characteristic
426	C₁₃×#107	C₂³	1	1	yes	characteristic
427	C₁₃×#107	C₂³	1	1	yes	characteristic
428	C₁₃×#106	C₂³	1	1	yes	characteristic
429	C₁₃×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
451	C₁₃×#103	C₂³	1	1	yes	characteristic
452	C₁₃×#103	C₂³	1	1	yes	characteristic
453	C₁₃×#103	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×#102	C₂³	1	1	yes	characteristic
467	C₁₃×#102	C₂³	1	1	yes	characteristic
468	C₁₃×#102	C₂³	1	1	yes	characteristic
469	C₁₃×#102	C₂³	1	1	yes	characteristic
470	C₁₃×#102	C₂³	1	1	yes	characteristic
471	C₁₃×#102	C₂³	1	1	yes	characteristic
472	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₁₃×#97	C₂³	1	1	yes	characteristic
479	C₁₃×#97	C₂³	1	1	yes	characteristic
480	C₁₃×#97	C₂³	1	1	yes	characteristic
481	C₁₃×#97	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
484	#62085	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂⁴×C₁₃	—	2	1	no	—
487	C₁₃×#41	—	2	2	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₁₃×#41	—	4	1	no	—
491	C₁₃×#41	—	4	1	no	—
492	C₁₃×#41	—	4	1	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₁₃×#41	—	8	2	no	—
498	C₁₃×#41	—	8	2	no	—
499	C₂×Q₈×C₁₃	—	2	1	no	—
500	C₂×Q₈×C₁₃	—	2	1	no	—
501	C₂×Q₈×C₁₃	—	2	1	no	—
502	C₂×Q₈×C₁₃	—	2	1	no	—
503	C₂×Q₈×C₁₃	—	2	2	no	—
504	C₂×Q₈×C₁₃	—	2	2	no	—
505	C₂×Q₈×C₁₃	—	4	1	no	—
506	C₂×Q₈×C₁₃	—	4	1	no	—
507	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	2	1	no	—
521	C₂×D₄×C₁₃	—	2	1	no	—
522	C₂×D₄×C₁₃	—	2	1	no	—
523	C₂×D₄×C₁₃	—	2	1	no	—
524	C₂×D₄×C₁₃	—	2	1	no	—
525	C₂×D₄×C₁₃	—	2	1	no	—
526	C₂×D₄×C₁₃	—	2	1	no	—
527	C₂×D₄×C₁₃	—	2	1	no	—
528	C₂×D₄×C₁₃	—	2	1	no	—
529	C₂×D₄×C₁₃	—	2	1	no	—
530	C₂×D₄×C₁₃	—	2	1	no	—
531	C₂×D₄×C₁₃	—	2	1	no	—
532	C₂×D₄×C₁₃	—	2	1	no	—
533	C₂×D₄×C₁₃	—	2	1	no	—
534	C₂×D₄×C₁₃	—	4	1	no	—
535	C₂×D₄×C₁₃	—	4	1	no	—
536	C₂×D₄×C₁₃	—	4	1	no	—
537	C₂×D₄×C₁₃	—	4	1	no	—
538	C₂×D₄×C₁₃	—	8	2	no	—
539	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₁₃	—	2	1	no	—
548	C₂²×C₄×C₁₃	—	2	1	no	—
549	C₂²×C₄×C₁₃	—	2	1	no	—
550	C₂²×C₄×C₁₃	—	2	1	no	—
551	C₂²×C₄×C₁₃	—	2	1	no	—
552	C₂²×C₄×C₁₃	—	2	1	no	—
553	C₂²×C₄×C₁₃	—	2	1	no	—
554	C₂²×C₄×C₁₃	—	2	1	no	—
555	C₂²×C₄×C₁₃	—	2	1	no	—
556	C₂²×C₄×C₁₃	—	2	1	no	—
557	C₂²×C₄×C₁₃	—	2	1	no	—
558	C₂²×C₄×C₁₃	—	2	1	no	—
559	C₂²×C₄×C₁₃	—	2	1	no	—
560	C₂²×C₄×C₁₃	—	2	1	no	—
561	C₂²×C₄×C₁₃	—	2	1	no	—
562	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
567	C₁₃×Q₁₆	—	2	2	no	—
568	C₁₃×Q₁₆	—	2	2	no	—
569	C₁₃×Q₁₆	—	4	1	no	—
570	C₁₃×Q₁₆	—	4	1	no	—
571	C₁₃×Q₁₆	—	4	1	no	—
572	C₁₃×Q₁₆	—	4	1	no	—
573	C₁₃×SD₁₆	—	2	2	no	—
574	C₁₃×SD₁₆	—	2	2	no	—
575	C₁₃×SD₁₆	—	2	2	no	—
576	C₁₃×SD₁₆	—	2	2	no	—
577	C₁₃×SD₁₆	—	4	1	no	—
578	C₁₃×SD₁₆	—	4	1	no	—
579	C₁₃×SD₁₆	—	4	1	no	—
580	C₁₃×SD₁₆	—	4	1	no	—
581	C₁₃×SD₁₆	—	4	1	no	—
582	C₁₃×SD₁₆	—	4	1	no	—
583	C₁₃×SD₁₆	—	4	1	no	—
584	C₁₃×SD₁₆	—	4	1	no	—
585	C₁₃×SD₁₆	—	4	1	no	—
586	C₁₃×SD₁₆	—	4	1	no	—
587	C₁₃×D₈	—	4	1	no	—
588	C₁₃×D₈	—	4	1	no	—
589	C₁₃×D₈	—	4	1	no	—
590	C₁₃×D₈	—	4	1	no	—
591	C₁₃×M₁₆	—	4	1	no	—
592	C₁₃×M₁₆	—	4	1	no	—
593	C₁₃×M₁₆	—	4	1	no	—
594	C₁₃×M₁₆	—	4	1	no	—
595	C₂×C₈×C₁₃	—	4	1	no	—
596	C₂×C₈×C₁₃	—	4	1	no	—
597	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	—	2	1	no	—
626	C₁₃×C₄⋊C₄	—	2	1	no	—
627	C₁₃×C₄⋊C₄	—	2	1	no	—
628	C₁₃×C₄⋊C₄	—	2	1	no	—
629	C₁₃×C₄⋊C₄	—	2	1	no	—
630	C₁₃×C₄⋊C₄	—	2	1	no	—
631	C₁₃×C₄⋊C₄	—	2	1	no	—
632	C₁₃×C₄⋊C₄	—	2	1	no	—
633	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
662	C₁₃×C₂²⋊C₄	—	2	1	no	—
663	C₁₃×C₂²⋊C₄	—	2	1	no	—
664	C₁₃×C₂²⋊C₄	—	2	1	no	—
665	C₁₃×C₂²⋊C₄	—	2	1	no	—
666	C₁₃×C₂²⋊C₄	—	2	1	no	—
667	C₁₃×C₂²⋊C₄	—	2	1	no	—
668	C₁₃×C₂²⋊C₄	—	2	1	no	—
669	C₁₃×C₂²⋊C₄	—	2	1	no	—
670	C₁₃×C₂²⋊C₄	—	2	1	no	—
671	C₁₃×C₂²⋊C₄	—	2	1	no	—
672	C₁₃×C₂²⋊C₄	—	2	1	no	—
673	C₁₃×C₂²⋊C₄	—	2	1	no	—
674	C₁₃×C₂²⋊C₄	—	2	1	no	—
675	C₁₃×C₂²⋊C₄	—	2	1	no	—
676	C₁₃×C₂²⋊C₄	—	2	1	no	—
677	C₁₃×C₂²⋊C₄	—	2	1	no	—
678	C₁₃×C₂²⋊C₄	—	2	1	no	—
679	C₁₃×C₂²⋊C₄	—	2	1	no	—
680	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
683	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
684	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
685	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
687	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
688	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₄²×C₁₃	—	2	1	no	—
691	C₄²×C₁₃	—	2	1	no	—
692	C₄²×C₁₃	—	2	1	no	—
693	C₄²×C₁₃	—	2	1	no	—
694	C₄²×C₁₃	—	2	1	no	—
695	C₄²×C₁₃	—	2	1	no	—
696	C₄²×C₁₃	—	2	1	no	—
697	C₄²×C₁₃	—	2	1	no	—
698	C₄²×C₁₃	—	2	1	no	—
699	C₄²×C₁₃	—	2	1	no	—
700	C₄²×C₁₃	—	2	1	no	—
701	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
703	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
704	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
705	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
706	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
707	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3516	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3402	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#3333	C₂×C₁₃	1	1	yes	characteristic, complemented
714	#3322	C₂×C₁₃	1	1	yes	characteristic, complemented
715	#3315	C₂×C₁₃	1	1	yes	characteristic, complemented
716	#3314	C₂×C₁₃	1	1	yes	characteristic, complemented
717	#3310	C₂×C₁₃	1	1	yes	characteristic, complemented
718	#3309	C₂×C₁₃	1	1	yes	characteristic, complemented
719	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
720	#3275	C₂×C₁₃	1	1	yes	characteristic, complemented
721	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
722	#3269	C₂×C₁₃	1	1	yes	characteristic, complemented
723	#3266	C₂×C₁₃	1	1	yes	characteristic, complemented
724	#3265	C₂×C₁₃	1	1	yes	characteristic, complemented
725	#3262	C₂×C₁₃	1	1	yes	characteristic, complemented
726	#3258	C₂×C₁₃	1	1	yes	characteristic, complemented
727	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
728	#3224	C₂×C₁₃	1	1	yes	characteristic, complemented
729	#3222	C₂×C₁₃	1	1	yes	characteristic, complemented
730	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
731	#3124	C₂×C₁₃	1	1	yes	characteristic, complemented
732	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
733	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
734	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
735	#3043	C₂×C₁₃	1	1	yes	characteristic, complemented
736	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
737	#2995	C₂×C₁₃	1	1	yes	characteristic, complemented
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	—	2	1	no	—
740	C₂³×C₁₃	—	2	1	no	—
741	C₂³×C₁₃	—	2	1	no	—
742	C₂³×C₁₃	—	2	1	no	—
743	C₂³×C₁₃	—	8	1	no	—
744	C₂³×C₁₃	—	8	1	no	—
745	C₂³×C₁₃	—	8	1	no	—
746	C₂³×C₁₃	—	8	1	no	—
747	C₂³×C₁₃	—	8	1	no	—
748	C₂³×C₁₃	—	8	1	no	—
749	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
750	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
751	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
752	Q₈×C₁₃	—	2	1	no	—
753	Q₈×C₁₃	—	2	1	no	—
754	Q₈×C₁₃	—	2	1	no	—
755	Q₈×C₁₃	—	2	1	no	—
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	2	1	no	—
758	Q₈×C₁₃	—	2	1	no	—
759	Q₈×C₁₃	—	2	1	no	—
760	Q₈×C₁₃	—	2	1	no	—
761	Q₈×C₁₃	—	4	1	no	—
762	Q₈×C₁₃	—	4	2	no	—
763	Q₈×C₁₃	—	4	2	no	—
764	Q₈×C₁₃	—	8	1	no	—
765	Q₈×C₁₃	—	8	1	no	—
766	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
767	D₄×C₁₃	—	2	1	no	—
768	D₄×C₁₃	—	2	1	no	—
769	D₄×C₁₃	—	2	1	no	—
770	D₄×C₁₃	—	2	1	no	—
771	D₄×C₁₃	—	2	1	no	—
772	D₄×C₁₃	—	2	1	no	—
773	D₄×C₁₃	—	2	1	no	—
774	D₄×C₁₃	—	2	1	no	—
775	D₄×C₁₃	—	2	1	no	—
776	D₄×C₁₃	—	2	1	no	—
777	D₄×C₁₃	—	4	1	no	—
778	D₄×C₁₃	—	4	1	no	—
779	D₄×C₁₃	—	4	1	no	—
780	D₄×C₁₃	—	4	2	no	—
781	D₄×C₁₃	—	4	2	no	—
782	D₄×C₁₃	—	4	2	no	—
783	D₄×C₁₃	—	8	1	no	—
784	D₄×C₁₃	—	8	1	no	—
785	D₄×C₁₃	—	8	1	no	—
786	D₄×C₁₃	—	8	1	no	—
787	D₄×C₁₃	—	8	1	no	—
788	D₄×C₁₃	—	8	1	no	—
789	D₄×C₁₃	—	8	1	no	—
790	D₄×C₁₃	—	8	1	no	—
791	D₄×C₁₃	—	8	1	no	—
792	D₄×C₁₃	—	8	1	no	—
793	D₄×C₁₃	—	8	1	no	—
794	D₄×C₁₃	—	8	1	no	—
795	D₄×C₁₃	—	8	1	no	—
796	D₄×C₁₃	—	8	1	no	—
797	D₄×C₁₃	—	8	1	no	—
798	D₄×C₁₃	—	8	1	no	—
799	D₄×C₁₃	—	8	1	no	—
800	D₄×C₁₃	—	8	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	4	1	no	—
819	C₂×C₄×C₁₃	—	4	1	no	—
820	C₂×C₄×C₁₃	—	4	2	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	—	4	2	no	—
823	C₂×C₄×C₁₃	—	4	2	no	—
824	C₂×C₄×C₁₃	—	4	2	no	—
825	C₂×C₄×C₁₃	—	8	1	no	—
826	C₂×C₄×C₁₃	—	8	1	no	—
827	C₂×C₄×C₁₃	—	8	1	no	—
828	C₂×C₄×C₁₃	—	8	1	no	—
829	C₂×C₄×C₁₃	—	8	1	no	—
830	C₂×C₄×C₁₃	—	8	1	no	—
831	C₂×C₄×C₁₃	—	8	1	no	—
832	C₂×C₄×C₁₃	—	8	1	no	—
833	C₂×C₄×C₁₃	—	8	1	no	—
834	C₂×C₄×C₁₃	—	8	1	no	—
835	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
841	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
842	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
843	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
847	C₈×C₁₃	—	2	1	no	—
848	C₈×C₁₃	—	2	1	no	—
849	C₈×C₁₃	—	2	1	no	—
850	C₈×C₁₃	—	2	1	no	—
851	C₈×C₁₃	—	2	1	no	—
852	C₈×C₁₃	—	2	1	no	—
853	C₈×C₁₃	—	2	1	no	—
854	C₈×C₁₃	—	2	1	no	—
855	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
859	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
860	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
861	#560	—	2	1	no	—
862	#560	—	2	1	no	—
863	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
864	#556	—	2	1	no	—
865	#556	C₂²×C₁₃	1	1	yes	characteristic
866	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
867	#554	—	2	1	no	—
868	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
869	#553	—	2	1	no	—
870	#553	—	2	1	no	—
871	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#552	—	2	1	no	—
873	#552	C₂²×C₁₃	1	1	yes	characteristic
874	#550	C₂²×C₁₃	1	1	yes	characteristic
875	#550	C₂²×C₁₃	1	1	yes	characteristic
876	#550	C₂²×C₁₃	1	1	yes	characteristic
877	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#548	C₂²×C₁₃	1	1	yes	characteristic
879	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	#547	C₂²×C₁₃	1	1	yes	characteristic
881	#546	—	2	1	no	—
882	#546	C₂²×C₁₃	1	1	yes	characteristic
883	#546	C₂²×C₁₃	1	1	yes	characteristic
884	D₄²	C₂²×C₁₃	1	1	yes	characteristic
885	#542	—	2	1	no	—
886	#542	C₂²×C₁₃	1	1	yes	characteristic
887	#542	C₂²×C₁₃	1	1	yes	characteristic
888	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#541	—	2	1	no	—
890	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#538	—	2	1	no	—
892	#538	—	2	1	no	—
893	#537	—	2	1	no	—
894	#535	—	2	1	no	—
895	#535	C₂²×C₁₃	1	1	yes	characteristic
896	#535	C₂²×C₁₃	1	1	yes	characteristic
897	#532	C₂²×C₁₃	1	1	yes	characteristic
898	#532	C₂²×C₁₃	1	1	yes	characteristic
899	#529	—	2	1	no	—
900	#529	—	2	1	no	—
901	#529	C₂²×C₁₃	1	1	yes	characteristic
902	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#497	C₂²×C₁₃	1	1	yes	characteristic
907	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
908	#496	C₂²×C₁₃	1	1	yes	characteristic
909	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#495	C₂²×C₁₃	1	1	yes	characteristic
911	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#490	C₂²×C₁₃	1	1	yes	characteristic
914	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#489	C₂²×C₁₃	1	1	yes	characteristic
916	#488	C₂²×C₁₃	1	1	yes	characteristic
917	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#482	C₂²×C₁₃	1	1	yes	characteristic
921	#480	C₂²×C₁₃	1	1	yes	characteristic
922	#480	C₂²×C₁₃	1	1	yes	characteristic
923	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
924	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#478	C₂²×C₁₃	1	1	yes	characteristic
926	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
930	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#469	C₂²×C₁₃	1	1	yes	characteristic
936	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	#468	C₂²×C₁₃	1	1	yes	characteristic
938	#468	C₂²×C₁₃	1	1	yes	characteristic
939	#468	C₂²×C₁₃	1	1	yes	characteristic
940	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
943	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	#466	C₂²×C₁₃	1	1	yes	characteristic
945	#465	C₂²×C₁₃	1	1	yes	characteristic
946	#464	C₂²×C₁₃	1	1	yes	characteristic
947	#464	C₂²×C₁₃	1	1	yes	characteristic
948	#464	C₂²×C₁₃	1	1	yes	characteristic
949	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
951	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	#463	C₂²×C₁₃	1	1	yes	characteristic
957	#463	C₂²×C₁₃	1	1	yes	characteristic
958	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
962	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#460	C₂²×C₁₃	1	1	yes	characteristic
967	#460	C₂²×C₁₃	1	1	yes	characteristic
968	#460	C₂²×C₁₃	1	1	yes	characteristic
969	#460	C₂²×C₁₃	1	1	yes	characteristic
970	#460	C₂²×C₁₃	1	1	yes	characteristic
971	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#459	C₂²×C₁₃	1	1	yes	characteristic
975	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#450	C₂²×C₁₃	1	1	yes	characteristic
984	#450	C₂²×C₁₃	1	1	yes	characteristic
985	#450	C₂²×C₁₃	1	1	yes	characteristic
986	#449	C₂²×C₁₃	1	1	yes	characteristic
987	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
988	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
989	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
990	#448	C₂²×C₁₃	1	1	yes	characteristic
991	#448	C₂²×C₁₃	1	1	yes	characteristic
992	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	#447	C₂²×C₁₃	1	1	yes	characteristic
994	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
995	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	#440	C₂²×C₁₃	1	1	yes	characteristic
998	#440	C₂²×C₁₃	1	1	yes	characteristic
999	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1000	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1001	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1002	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1003	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1004	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1005	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1006	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1007	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1008	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1009	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1010	#435	C₂²×C₁₃	1	1	yes	characteristic
1011	#435	C₂²×C₁₃	1	1	yes	characteristic
1012	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1013	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1014	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1015	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1016	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
1017	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
1018	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
1019	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
1020	#418	C₂²×C₁₃	1	1	yes	characteristic
1021	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1022	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1023	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1024	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1025	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
1026	C₂²×C₁₃	—	2	1	no	—
1027	C₂²×C₁₃	—	2	1	no	—
1028	C₂²×C₁₃	—	2	1	no	—
1029	C₂²×C₁₃	—	2	1	no	—
1030	C₂²×C₁₃	—	2	1	no	—
1031	C₂²×C₁₃	—	2	1	no	—
1032	C₂²×C₁₃	—	2	1	no	—
1033	C₂²×C₁₃	—	2	1	no	—
1034	C₂²×C₁₃	—	2	1	no	—
1035	C₂²×C₁₃	—	4	1	no	—
1036	C₂²×C₁₃	—	4	1	no	—
1037	C₂²×C₁₃	—	4	1	no	—
1038	C₂²×C₁₃	—	4	1	no	—
1039	C₂²×C₁₃	—	4	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	—	4	1	no	—
1043	C₂²×C₁₃	—	4	1	no	—
1044	C₂²×C₁₃	—	4	1	no	—
1045	C₂²×C₁₃	—	4	1	no	—
1046	C₂²×C₁₃	—	4	1	no	—
1047	C₂²×C₁₃	—	4	1	no	—
1048	C₂²×C₁₃	—	4	1	no	—
1049	C₂²×C₁₃	—	4	1	no	—
1050	C₂²×C₁₃	—	16	2	no	—
1051	C₂²×C₁₃	—	16	2	no	—
1052	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1053	C₄×C₁₃	—	2	1	no	—
1054	C₄×C₁₃	—	2	1	no	—
1055	C₄×C₁₃	—	2	1	no	—
1056	C₄×C₁₃	—	2	1	no	—
1057	C₄×C₁₃	—	2	1	no	—
1058	C₄×C₁₃	—	2	1	no	—
1059	C₄×C₁₃	—	2	1	no	—
1060	C₄×C₁₃	—	2	1	no	—
1061	C₄×C₁₃	—	2	1	no	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	2	1	no	—
1064	C₄×C₁₃	—	2	2	no	—
1065	C₄×C₁₃	—	4	1	no	—
1066	C₄×C₁₃	—	4	1	no	—
1067	C₄×C₁₃	—	4	1	no	—
1068	C₄×C₁₃	—	4	1	no	—
1069	C₄×C₁₃	—	4	1	no	—
1070	C₄×C₁₃	—	4	1	no	—
1071	C₄×C₁₃	—	4	1	no	—
1072	C₄×C₁₃	—	4	1	no	—
1073	C₄×C₁₃	—	4	1	no	—
1074	C₄×C₁₃	—	4	1	no	—
1075	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1076	C₄×C₁₃	#585	1	1	yes	characteristic
1077	C₂×#41	—	2	1	no	—
1078	C₂×#41	—	2	1	no	—
1079	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1083	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1084	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1085	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂²×D₄	—	2	1	no	—
1087	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1089	#137	—	4	2	no	—
1090	#137	—	4	2	no	—
1091	#137	—	4	2	no	—
1092	AGL(1,ℤ/8)	—	4	2	no	—
1093	#135	—	4	2	no	—
1094	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1095	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1096	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1097	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1098	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1099	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1100	C₂×SD₁₆	—	4	2	no	—
1101	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1102	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1103	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1104	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1105	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1106	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1107	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1108	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1109	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1110	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1111	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1112	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1113	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1114	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1115	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1116	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1117	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1118	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1119	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1120	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1121	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1122	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1123	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1124	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1125	C₄⋊Q₈	—	2	1	no	—
1126	C₄⋊Q₈	—	2	1	no	—
1127	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1128	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1129	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1130	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1131	#127	—	2	1	no	—
1132	#127	—	2	1	no	—
1133	#127	C₂³×C₁₃	1	1	yes	characteristic
1134	#127	C₂³×C₁₃	1	1	yes	characteristic
1135	#127	C₂³×C₁₃	1	1	yes	characteristic
1136	#127	C₂³×C₁₃	1	1	yes	characteristic
1137	#126	—	2	1	no	—
1138	#126	—	2	1	no	—
1139	#126	—	2	1	no	—
1140	#126	—	2	1	no	—
1141	#126	—	2	1	no	—
1142	#126	—	2	1	no	—
1143	#126	—	2	1	no	—
1144	#126	—	2	1	no	—
1145	#126	—	2	1	no	—
1146	#126	—	2	1	no	—
1147	#126	—	2	1	no	—
1148	#126	—	2	1	no	—
1149	#126	D₄×C₁₃	1	1	yes	characteristic
1150	#126	D₄×C₁₃	1	1	yes	characteristic
1151	#125	—	2	1	no	—
1152	#125	—	2	1	no	—
1153	#125	—	2	1	no	—
1154	#125	—	2	1	no	—
1155	#125	—	2	1	no	—
1156	#125	—	2	1	no	—
1157	#125	D₄×C₁₃	1	1	yes	characteristic
1158	#125	C₂³×C₁₃	1	1	yes	characteristic
1159	#125	C₂³×C₁₃	1	1	yes	characteristic
1160	#124	—	2	1	no	—
1161	#124	—	2	1	no	—
1162	#124	—	2	1	no	—
1163	#124	—	2	1	no	—
1164	#124	—	2	1	no	—
1165	#124	—	2	1	no	—
1166	#124	D₄×C₁₃	1	1	yes	characteristic
1167	#124	C₂³×C₁₃	1	1	yes	characteristic
1168	#124	C₂³×C₁₃	1	1	yes	characteristic
1169	#124	C₂³×C₁₃	1	1	yes	characteristic
1170	#124	C₂³×C₁₃	1	1	yes	characteristic
1171	#124	C₂³×C₁₃	1	1	yes	characteristic
1172	#124	C₂³×C₁₃	1	1	yes	characteristic
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	—	2	1	no	—
1176	#123	—	2	1	no	—
1177	#123	—	2	1	no	—
1178	#123	—	2	1	no	—
1179	#123	—	2	1	no	—
1180	#123	—	2	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	D₄×C₁₃	1	1	yes	characteristic
1184	#123	D₄×C₁₃	1	1	yes	characteristic
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	—	2	1	no	—
1196	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1197	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1198	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1199	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1200	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1201	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1202	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1203	#121	—	2	1	no	—
1204	#121	—	2	1	no	—
1205	#121	—	2	1	no	—
1206	#121	—	2	1	no	—
1207	#121	—	2	1	no	—
1208	#121	—	2	1	no	—
1209	#121	—	2	1	no	—
1210	#121	—	2	1	no	—
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	—	2	1	no	—
1214	#121	—	2	1	no	—
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	—	2	1	no	—
1218	#121	—	2	1	no	—
1219	#121	—	2	1	no	—
1220	#121	—	2	1	no	—
1221	#121	—	2	1	no	—
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	D₄×C₁₃	1	1	yes	characteristic
1225	#121	C₂³×C₁₃	1	1	yes	characteristic
1226	#121	C₂³×C₁₃	1	1	yes	characteristic
1227	#121	C₂³×C₁₃	1	1	yes	characteristic
1228	#121	C₂³×C₁₃	1	1	yes	characteristic
1229	#121	C₂³×C₁₃	1	1	yes	characteristic
1230	#121	C₂³×C₁₃	1	1	yes	characteristic
1231	#120	—	2	1	no	—
1232	#120	—	2	1	no	—
1233	#120	—	2	1	no	—
1234	#120	—	2	1	no	—
1235	#120	—	2	1	no	—
1236	#120	—	2	1	no	—
1237	#120	—	2	1	no	—
1238	#120	—	2	1	no	—
1239	C₄×Q₈	—	2	1	no	—
1240	C₄×Q₈	—	2	1	no	—
1241	C₄×Q₈	—	2	1	no	—
1242	C₄×Q₈	—	2	1	no	—
1243	C₄×Q₈	—	2	1	no	—
1244	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1245	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1246	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1247	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1248	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1249	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1250	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1251	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1252	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1253	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1254	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1255	C₄×D₄	—	2	1	no	—
1256	C₄×D₄	—	2	1	no	—
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	—	2	1	no	—
1259	C₄×D₄	—	2	1	no	—
1260	C₄×D₄	—	2	1	no	—
1261	C₄×D₄	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	2	1	no	—
1264	C₄×D₄	—	2	1	no	—
1265	C₄×D₄	—	2	1	no	—
1266	C₄×D₄	—	2	1	no	—
1267	C₄×D₄	—	2	1	no	—
1268	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1269	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1270	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1271	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1272	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1273	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1274	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1275	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1276	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1277	#117	—	2	1	no	—
1278	#117	—	2	1	no	—
1279	#117	—	2	1	no	—
1280	#117	—	2	1	no	—
1281	#117	—	2	1	no	—
1282	#117	—	2	1	no	—
1283	#117	—	2	1	no	—
1284	#117	C₂³×C₁₃	1	1	yes	characteristic
1285	#117	C₂³×C₁₃	1	1	yes	characteristic
1286	#117	C₂³×C₁₃	1	1	yes	characteristic
1287	C₂×C₄⋊C₄	—	2	1	no	—
1288	C₂×C₄⋊C₄	—	2	1	no	—
1289	C₂×C₄⋊C₄	—	2	1	no	—
1290	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1291	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1292	C₂×C₂²⋊C₄	—	2	1	no	—
1293	C₂×C₂²⋊C₄	—	2	1	no	—
1294	C₂×C₄²	—	2	1	no	—
1295	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1296	#107	C₂³×C₁₃	1	1	yes	characteristic
1297	#107	C₂³×C₁₃	1	1	yes	characteristic
1298	#107	C₂³×C₁₃	1	1	yes	characteristic
1299	#107	C₂³×C₁₃	1	1	yes	characteristic
1300	#107	C₂³×C₁₃	1	1	yes	characteristic
1301	#107	C₂³×C₁₃	1	1	yes	characteristic
1302	#106	C₂³×C₁₃	1	1	yes	characteristic
1303	#106	C₂³×C₁₃	1	1	yes	characteristic
1304	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1305	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1306	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1307	C₄⋊C₈	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	#103	C₂³×C₁₃	1	1	yes	characteristic
1315	#103	C₂³×C₁₃	1	1	yes	characteristic
1316	#103	C₂³×C₁₃	1	1	yes	characteristic
1317	#103	C₂³×C₁₃	1	1	yes	characteristic
1318	#103	C₂³×C₁₃	1	1	yes	characteristic
1319	#103	C₂³×C₁₃	1	1	yes	characteristic
1320	#103	C₂³×C₁₃	1	1	yes	characteristic
1321	#103	C₂³×C₁₃	1	1	yes	characteristic
1322	#103	C₂³×C₁₃	1	1	yes	characteristic
1323	#103	C₂³×C₁₃	1	1	yes	characteristic
1324	#103	C₂³×C₁₃	1	1	yes	characteristic
1325	#103	C₂³×C₁₃	1	1	yes	characteristic
1326	#103	C₂³×C₁₃	1	1	yes	characteristic
1327	#103	C₂³×C₁₃	1	1	yes	characteristic
1328	#102	C₂³×C₁₃	1	1	yes	characteristic
1329	#102	C₂³×C₁₃	1	1	yes	characteristic
1330	#102	C₂³×C₁₃	1	1	yes	characteristic
1331	#102	C₂³×C₁₃	1	1	yes	characteristic
1332	#102	C₂³×C₁₃	1	1	yes	characteristic
1333	#102	C₂³×C₁₃	1	1	yes	characteristic
1334	#102	C₂³×C₁₃	1	1	yes	characteristic
1335	#102	C₂³×C₁₃	1	1	yes	characteristic
1336	#102	C₂³×C₁₃	1	1	yes	characteristic
1337	#102	C₂³×C₁₃	1	1	yes	characteristic
1338	#102	C₂³×C₁₃	1	1	yes	characteristic
1339	#102	C₂³×C₁₃	1	1	yes	characteristic
1340	#102	C₂³×C₁₃	1	1	yes	characteristic
1341	#102	C₂³×C₁₃	1	1	yes	characteristic
1342	#102	C₂³×C₁₃	1	1	yes	characteristic
1343	#102	C₂³×C₁₃	1	1	yes	characteristic
1344	#102	C₂³×C₁₃	1	1	yes	characteristic
1345	#102	C₂³×C₁₃	1	1	yes	characteristic
1346	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1347	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1348	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1349	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1350	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1351	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1352	#97	C₂³×C₁₃	1	1	yes	characteristic
1353	#97	C₂³×C₁₃	1	1	yes	characteristic
1354	#97	C₂³×C₁₃	1	1	yes	characteristic
1355	#97	C₂³×C₁₃	1	1	yes	characteristic
1356	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1357	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1358	C₂×C₁₃	—	4	1	no	—
1359	C₂×C₁₃	—	4	1	no	—
1360	C₂×C₁₃	—	4	1	no	—
1361	C₂×C₁₃	—	8	1	no	—
1362	C₂×C₁₃	—	8	1	no	—
1363	C₂×C₁₃	—	8	1	no	—
1364	C₂×C₁₃	—	8	1	no	—
1365	C₂×C₁₃	—	8	1	no	—
1366	C₂×C₁₃	#3488	1	1	yes	characteristic
1367	C₂×C₁₃	#3585	1	1	yes	characteristic
1368	C₂×C₁₃	#3586	1	1	yes	characteristic
1369	C₂⁴	—	2	1	no	—
1370	C₂⁴	—	2	1	no	—
1371	#41	—	2	2	no	—
1372	#41	—	4	1	no	—
1373	#41	—	4	1	no	—
1374	#41	—	4	1	no	—
1375	#41	—	4	1	no	—
1376	#41	—	4	1	no	—
1377	#41	—	4	1	no	—
1378	#41	—	4	1	no	—
1379	#41	—	4	1	no	—
1380	#41	—	4	1	no	—
1381	#41	—	8	2	no	—
1382	#41	—	8	2	no	—
1383	C₂×Q₈	—	2	1	no	—
1384	C₂×Q₈	—	2	1	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	2	1	no	—
1387	C₂×Q₈	—	2	2	no	—
1388	C₂×Q₈	—	2	2	no	—
1389	C₂×Q₈	—	4	1	no	—
1390	C₂×Q₈	—	4	1	no	—
1391	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1392	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1393	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1394	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1395	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1396	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	—	4	1	no	—
1420	C₂×D₄	—	4	1	no	—
1421	C₂×D₄	—	4	1	no	—
1422	C₂×D₄	—	8	2	no	—
1423	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1424	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1425	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1426	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1427	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1428	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1429	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1430	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1447	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1448	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1449	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1451	Q₁₆	—	2	2	no	—
1452	Q₁₆	—	2	2	no	—
1453	Q₁₆	—	4	1	no	—
1454	Q₁₆	—	4	1	no	—
1455	Q₁₆	—	4	1	no	—
1456	Q₁₆	—	4	1	no	—
1457	SD₁₆	—	2	2	no	—
1458	SD₁₆	—	2	2	no	—
1459	SD₁₆	—	2	2	no	—
1460	SD₁₆	—	2	2	no	—
1461	SD₁₆	—	4	1	no	—
1462	SD₁₆	—	4	1	no	—
1463	SD₁₆	—	4	1	no	—
1464	SD₁₆	—	4	1	no	—
1465	SD₁₆	—	4	1	no	—
1466	SD₁₆	—	4	1	no	—
1467	SD₁₆	—	4	1	no	—
1468	SD₁₆	—	4	1	no	—
1469	SD₁₆	—	4	1	no	—
1470	SD₁₆	—	4	1	no	—
1471	D₈	—	4	1	no	—
1472	D₈	—	4	1	no	—
1473	D₈	—	4	1	no	—
1474	D₈	—	4	1	no	—
1475	M₁₆	—	4	1	no	—
1476	M₁₆	—	4	1	no	—
1477	M₁₆	—	4	1	no	—
1478	M₁₆	—	4	1	no	—
1479	C₂×C₈	—	4	1	no	—
1480	C₂×C₈	—	4	1	no	—
1481	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1482	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1483	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1484	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1485	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1486	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1487	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1488	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1518	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1519	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1521	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1522	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1523	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1524	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1525	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1526	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1527	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1528	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1529	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1530	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1531	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1532	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1565	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1566	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1567	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1574	C₄²	—	2	1	no	—
1575	C₄²	—	2	1	no	—
1576	C₄²	—	2	1	no	—
1577	C₄²	—	2	1	no	—
1578	C₄²	—	2	1	no	—
1579	C₄²	—	2	1	no	—
1580	C₄²	—	2	1	no	—
1581	C₄²	—	2	1	no	—
1582	C₄²	—	2	1	no	—
1583	C₄²	—	2	1	no	—
1584	C₄²	—	2	1	no	—
1585	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1586	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1587	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1588	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1589	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1590	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1591	C₁₃	#62085	1	1	yes	characteristic, direct product factor, Sylow
1592	C₂³	—	2	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	8	1	no	—
1598	C₂³	—	8	1	no	—
1599	C₂³	—	8	1	no	—
1600	C₂³	—	8	1	no	—
1601	C₂³	—	8	1	no	—
1602	C₂³	—	8	1	no	—
1603	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1604	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1605	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1606	Q₈	—	2	1	no	—
1607	Q₈	—	2	1	no	—
1608	Q₈	—	2	1	no	—
1609	Q₈	—	2	1	no	—
1610	Q₈	—	2	1	no	—
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	2	1	no	—
1614	Q₈	—	2	1	no	—
1615	Q₈	—	4	1	no	—
1616	Q₈	—	4	2	no	—
1617	Q₈	—	4	2	no	—
1618	Q₈	—	8	1	no	—
1619	Q₈	—	8	1	no	—
1620	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	2	1	no	—
1624	D₄	—	2	1	no	—
1625	D₄	—	2	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	4	1	no	—
1632	D₄	—	4	1	no	—
1633	D₄	—	4	1	no	—
1634	D₄	—	4	2	no	—
1635	D₄	—	4	2	no	—
1636	D₄	—	4	2	no	—
1637	D₄	—	8	1	no	—
1638	D₄	—	8	1	no	—
1639	D₄	—	8	1	no	—
1640	D₄	—	8	1	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	4	1	no	—
1673	C₂×C₄	—	4	1	no	—
1674	C₂×C₄	—	4	2	no	—
1675	C₂×C₄	—	4	2	no	—
1676	C₂×C₄	—	4	2	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1690	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1691	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1692	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1693	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1694	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1695	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1696	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1697	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1698	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1699	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1700	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1701	C₈	—	2	1	no	—
1702	C₈	—	2	1	no	—
1703	C₈	—	2	1	no	—
1704	C₈	—	2	1	no	—
1705	C₈	—	2	1	no	—
1706	C₈	—	2	1	no	—
1707	C₈	—	2	1	no	—
1708	C₈	—	2	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	16	2	no	—
1734	C₂²	—	16	2	no	—
1735	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1736	C₄	—	2	1	no	—
1737	C₄	—	2	1	no	—
1738	C₄	—	2	1	no	—
1739	C₄	—	2	1	no	—
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	2	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	4	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	4	1	no	—
1758	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1759	C₄	C₁₃×#585	1	1	yes	characteristic
1760	C₂	—	4	1	no	—
1761	C₂	—	4	1	no	—
1762	C₂	—	4	1	no	—
1763	C₂	—	8	1	no	—
1764	C₂	—	8	1	no	—
1765	C₂	—	8	1	no	—
1766	C₂	—	8	1	no	—
1767	C₂	—	8	1	no	—
1768	C₂	C₁₃×#3488	1	1	yes	characteristic
1769	C₂	C₁₃×#3585	1	1	yes	characteristic
1770	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3546	C₂	semidirect
2. C₁₃×#3516	C₂	semidirect
3. C₁₃×#3402	C₂	semidirect
4. C₁₃×#3397	C₂	semidirect
5. C₁₃×#3377	C₂	semidirect
6. C₁₃×#3368	C₂	semidirect
7. C₁₃×#3333	C₂	semidirect
8. C₁₃×#3322	C₂	semidirect
9. C₁₃×#3315	C₂	semidirect
10. C₁₃×#3314	C₂	semidirect
11. C₁₃×#3310	C₂	semidirect
12. C₁₃×#3309	C₂	semidirect
13. C₁₃×#3278	C₂	semidirect
14. C₁₃×#3275	C₂	semidirect
15. C₁₃×#3271	C₂	semidirect
16. C₁₃×#3269	C₂	semidirect
17. C₁₃×#3266	C₂	semidirect
18. C₁₃×#3265	C₂	semidirect
19. C₁₃×#3262	C₂	semidirect
20. C₁₃×#3258	C₂	semidirect
21. C₁₃×#3251	C₂	semidirect
22. C₁₃×#3224	C₂	semidirect
23. C₁₃×#3222	C₂	semidirect
24. C₁₃×#3219	C₂	semidirect
25. C₁₃×#3124	C₂	semidirect
26. C₁₃×#3121	C₂	semidirect
27. C₁₃×#3112	C₂	semidirect
28. C₁₃×#3045	C₂	semidirect
29. C₁₃×#3043	C₂	semidirect
30. C₁₃×#3037	C₂	semidirect
31. C₁₃×#2995	C₂	semidirect
32. C₂×C₁₃×#137	C₂²	semidirect
33. C₂×C₁₃×#137	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
36. C₂×C₁₃×#135	C₂²	semidirect
40. C₁₃×#557	C₂²	semidirect
43. C₁₃×#556	C₂²	semidirect
45. C₁₃×#554	C₂²	semidirect
48. C₁₃×#553	C₂²	semidirect
54. D₄×Q₈×C₁₃	C₂²	semidirect
56. C₁₃×#548	C₂²	semidirect
65. C₁₃×#542	C₂²	semidirect
67. C₁₃×#541	C₂²	semidirect
79. C₁₃×#529	C₂²	semidirect
80. C₁₃×#520	C₂²	semidirect
81. C₁₃×#519	C₂²	semidirect
82. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
84. C₁₃×#497	C₂²	semidirect
86. C₁₃×#496	C₂²	semidirect
88. C₁₃×#492	C₂²	semidirect
89. C₁₃×#491	C₂²	semidirect
91. C₁₃×#490	C₂²	semidirect
94. C₁₃×#486	C₂²	semidirect
95. C₁₃×#485	C₂²	semidirect
96. C₁₃×#484	C₂²	semidirect
100. C₁₃×#480	C₂²	semidirect
101. C₁₃×#479	C₂²	semidirect
103. C₁₃×#478	C₂²	semidirect
104. C₁₃×#478	C₂²	semidirect
105. C₁₃×#477	C₂²	semidirect
106. C₁₃×#477	C₂²	semidirect
107. C₁₃×#477	C₂²	semidirect
108. C₁₃×#475	C₂²	semidirect
109. C₁₃×#474	C₂²	semidirect
110. C₁₃×#474	C₂²	semidirect
111. C₁₃×#470	C₂²	semidirect
113. C₁₃×#469	C₂²	semidirect
117. C₁₃×#468	C₂²	semidirect
118. C₁₃×#468	C₂²	semidirect
119. C₁₃×#467	C₂²	semidirect
120. C₁₃×#467	C₂²	semidirect
126. C₁₃×#464	C₂²	semidirect
127. C₁₃×#464	C₂²	semidirect
128. C₁₃×#464	C₂²	semidirect
129. C₁₃×#464	C₂²	semidirect
130. C₁₃×#464	C₂²	semidirect
131. C₁₃×#464	C₂²	semidirect
132. 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×#462	C₂²	semidirect
141. C₁₃×#462	C₂²	semidirect
142. C₁₃×#461	C₂²	semidirect
148. C₁₃×#460	C₂²	semidirect
149. C₁₃×#460	C₂²	semidirect
150. C₁₃×#460	C₂²	semidirect
152. C₁₃×#459	C₂²	semidirect
153. C₁₃×#452	C₂²	semidirect
154. C₁₃×#452	C₂²	semidirect
155. C₁₃×#452	C₂²	semidirect
156. C₁₃×#452	C₂²	semidirect
157. C₁₃×#452	C₂²	semidirect
158. C₁₃×#452	C₂²	semidirect
159. C₁₃×#451	C₂²	semidirect
164. C₁₃×#449	C₂²	semidirect
165. C₁₃×#449	C₂²	semidirect
166. C₁₃×#449	C₂²	semidirect
169. C₁₃×#448	C₂²	semidirect
171. C₁₃×#446	C₂²	semidirect
172. C₁₃×#446	C₂²	semidirect
173. C₁₃×#441	C₂²	semidirect
176. C₁₃×#440	C₂²	semidirect
177. C₁₃×#440	C₂²	semidirect
178. C₁₃×#440	C₂²	semidirect
179. C₁₃×#440	C₂²	semidirect
180. C₁₃×#440	C₂²	semidirect
181. C₄×C₁₃×Q₁₆	C₂²	semidirect
182. C₄×C₁₃×Q₁₆	C₂²	semidirect
183. C₄×C₁₃×SD₁₆	C₂²	semidirect
184. C₄×C₁₃×D₈	C₂²	semidirect
185. C₁₃×#436	C₂²	semidirect
186. C₁₃×#436	C₂²	semidirect
189. C₁₃×#435	C₂²	semidirect
190. C₁₃×#435	C₂²	semidirect
191. C₁₃×#433	C₂²	semidirect
192. C₁₃×#433	C₂²	semidirect
193. C₁₃×#432	C₂²	semidirect
194. C₁₃×#424	C₂²	semidirect
195. C₁₃×#424	C₂²	semidirect
196. C₁₃×#423	C₂²	semidirect
198. C₁₃×#417	C₂²	semidirect
199. C₁₃×#417	C₂²	semidirect
200. C₁₃×#417	C₂²	semidirect
201. C₁₃×#416	C₂²	semidirect
484. #62085	C₁₃	direct (N × H)
707. #3546	C₂×C₁₃	semidirect
708. #3516	C₂×C₁₃	semidirect
709. #3402	C₂×C₁₃	semidirect
710. #3397	C₂×C₁₃	semidirect
711. #3377	C₂×C₁₃	semidirect
712. #3368	C₂×C₁₃	semidirect
713. #3333	C₂×C₁₃	semidirect
714. #3322	C₂×C₁₃	semidirect
715. #3315	C₂×C₁₃	semidirect
716. #3314	C₂×C₁₃	semidirect
717. #3310	C₂×C₁₃	semidirect
718. #3309	C₂×C₁₃	semidirect
719. #3278	C₂×C₁₃	semidirect
720. #3275	C₂×C₁₃	semidirect
721. #3271	C₂×C₁₃	semidirect
722. #3269	C₂×C₁₃	semidirect
723. #3266	C₂×C₁₃	semidirect
724. #3265	C₂×C₁₃	semidirect
725. #3262	C₂×C₁₃	semidirect
726. #3258	C₂×C₁₃	semidirect
727. #3251	C₂×C₁₃	semidirect
728. #3224	C₂×C₁₃	semidirect
729. #3222	C₂×C₁₃	semidirect
730. #3219	C₂×C₁₃	semidirect
731. #3124	C₂×C₁₃	semidirect
732. #3121	C₂×C₁₃	semidirect
733. #3112	C₂×C₁₃	semidirect
734. #3045	C₂×C₁₃	semidirect
735. #3043	C₂×C₁₃	semidirect
736. #3037	C₂×C₁₃	semidirect
737. #2995	C₂×C₁₃	semidirect
855. C₂×#137	C₂²×C₁₃	semidirect
856. C₂×#137	C₂²×C₁₃	semidirect
857. C₂×#137	C₂²×C₁₃	semidirect
859. C₂×#135	C₂²×C₁₃	semidirect
863. #557	C₂²×C₁₃	semidirect
866. #556	C₂²×C₁₃	semidirect
868. #554	C₂²×C₁₃	semidirect
871. #553	C₂²×C₁₃	semidirect
877. D₄×Q₈	C₂²×C₁₃	semidirect
879. #548	C₂²×C₁₃	semidirect
888. #542	C₂²×C₁₃	semidirect
890. #541	C₂²×C₁₃	semidirect
902. #529	C₂²×C₁₃	semidirect
903. #520	C₂²×C₁₃	semidirect
904. #519	C₂²×C₁₃	semidirect
905. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
907. #497	C₂²×C₁₃	semidirect
909. #496	C₂²×C₁₃	semidirect
911. #492	C₂²×C₁₃	semidirect
912. #491	C₂²×C₁₃	semidirect
914. #490	C₂²×C₁₃	semidirect
917. #486	C₂²×C₁₃	semidirect
918. #485	C₂²×C₁₃	semidirect
919. #484	C₂²×C₁₃	semidirect
923. #480	C₂²×C₁₃	semidirect
924. #479	C₂²×C₁₃	semidirect
926. #478	C₂²×C₁₃	semidirect
927. #478	C₂²×C₁₃	semidirect
928. #477	C₂²×C₁₃	semidirect
929. #477	C₂²×C₁₃	semidirect
930. #477	C₂²×C₁₃	semidirect
931. #475	C₂²×C₁₃	semidirect
932. #474	C₂²×C₁₃	semidirect
933. #474	C₂²×C₁₃	semidirect
934. #470	C₂²×C₁₃	semidirect
936. #469	C₂²×C₁₃	semidirect
940. #468	C₂²×C₁₃	semidirect
941. #468	C₂²×C₁₃	semidirect
942. #467	C₂²×C₁₃	semidirect
943. #467	C₂²×C₁₃	semidirect
949. #464	C₂²×C₁₃	semidirect
950. #464	C₂²×C₁₃	semidirect
951. #464	C₂²×C₁₃	semidirect
952. #464	C₂²×C₁₃	semidirect
953. #464	C₂²×C₁₃	semidirect
954. #464	C₂²×C₁₃	semidirect
955. #464	C₂²×C₁₃	semidirect
958. #463	C₂²×C₁₃	semidirect
959. #463	C₂²×C₁₃	semidirect
960. #463	C₂²×C₁₃	semidirect
961. #463	C₂²×C₁₃	semidirect
962. #462	C₂²×C₁₃	semidirect
963. #462	C₂²×C₁₃	semidirect
964. #462	C₂²×C₁₃	semidirect
965. #461	C₂²×C₁₃	semidirect
971. #460	C₂²×C₁₃	semidirect
972. #460	C₂²×C₁₃	semidirect
973. #460	C₂²×C₁₃	semidirect
975. #459	C₂²×C₁₃	semidirect
976. #452	C₂²×C₁₃	semidirect
977. #452	C₂²×C₁₃	semidirect
978. #452	C₂²×C₁₃	semidirect
979. #452	C₂²×C₁₃	semidirect
980. #452	C₂²×C₁₃	semidirect
981. #452	C₂²×C₁₃	semidirect
982. #451	C₂²×C₁₃	semidirect
987. #449	C₂²×C₁₃	semidirect
988. #449	C₂²×C₁₃	semidirect
989. #449	C₂²×C₁₃	semidirect
992. #448	C₂²×C₁₃	semidirect
994. #446	C₂²×C₁₃	semidirect
995. #446	C₂²×C₁₃	semidirect
996. #441	C₂²×C₁₃	semidirect
999. #440	C₂²×C₁₃	semidirect
1000. #440	C₂²×C₁₃	semidirect
1001. #440	C₂²×C₁₃	semidirect
1002. #440	C₂²×C₁₃	semidirect
1003. #440	C₂²×C₁₃	semidirect
1004. C₄×Q₁₆	C₂²×C₁₃	semidirect
1005. C₄×Q₁₆	C₂²×C₁₃	semidirect
1006. C₄×SD₁₆	C₂²×C₁₃	semidirect
1007. C₄×D₈	C₂²×C₁₃	semidirect
1008. #436	C₂²×C₁₃	semidirect
1009. #436	C₂²×C₁₃	semidirect
1012. #435	C₂²×C₁₃	semidirect
1013. #435	C₂²×C₁₃	semidirect
1014. #433	C₂²×C₁₃	semidirect
1015. #433	C₂²×C₁₃	semidirect
1016. #432	C₂²×C₁₃	semidirect
1017. #424	C₂²×C₁₃	semidirect
1018. #424	C₂²×C₁₃	semidirect
1019. #423	C₂²×C₁₃	semidirect
1021. #417	C₂²×C₁₃	semidirect
1022. #417	C₂²×C₁₃	semidirect
1023. #417	C₂²×C₁₃	semidirect
1024. #416	C₂²×C₁₃	semidirect
1591. C₁₃	#62085	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×#3546	2
C₁₃×#3516	2
C₁₃×#3402	2
C₁₃×#3397	2
C₁₃×#3377	2
C₁₃×#3368	2
C₁₃×#3333	2
C₁₃×#3322	2
C₁₃×#3315	2
C₁₃×#3314	2
C₁₃×#3310	2
C₁₃×#3309	2
C₁₃×#3278	2
C₁₃×#3275	2
C₁₃×#3271	2
C₁₃×#3269	2
C₁₃×#3266	2
C₁₃×#3265	2
C₁₃×#3262	2
C₁₃×#3258	2
C₁₃×#3251	2
C₁₃×#3224	2
C₁₃×#3222	2
C₁₃×#3219	2
C₁₃×#3124	2
C₁₃×#3121	2
C₁₃×#3112	2
C₁₃×#3045	2
C₁₃×#3043	2
C₁₃×#3037	2
C₁₃×#2995	2
#62085	13

Subgroups — C13×#62085 #15748424

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62085 #15748424