Subgroups — C₁₃×#61505 #15747844

Order 3328.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3354	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3350	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3348	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3318	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3273	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3179	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3173	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3122	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2967	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2948	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2946	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
35	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#555	C₂²	1	1	yes	characteristic
39	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#553	—	2	1	no	—
42	C₁₃×#553	C₂²	1	1	yes	characteristic
43	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#551	—	2	1	no	—
45	C₁₃×#551	—	2	1	no	—
46	C₁₃×#551	—	2	1	no	—
47	C₁₃×#551	—	2	1	no	—
48	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#548	—	2	1	no	—
50	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#546	—	2	1	no	—
52	C₁₃×#546	—	2	1	no	—
53	C₁₃×#546	C₂²	1	1	yes	characteristic
54	C₁₃×#546	C₂²	1	1	yes	characteristic
55	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
57	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
58	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#539	—	2	1	no	—
64	C₁₃×#538	—	2	1	no	—
65	C₁₃×#538	—	2	1	no	—
66	C₁₃×#538	—	2	1	no	—
67	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#529	—	2	1	no	—
69	C₁₃×#529	C₂²	1	1	yes	characteristic
70	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₁₃×#124	—	2	1	no	—
72	C₁₃×#525	—	2	1	no	—
73	C₂×C₁₃×#123	—	2	1	no	—
74	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#469	C₂²	1	1	yes	characteristic
118	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#465	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×#463	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#459	C₂²	1	1	yes	characteristic
137	C₁₃×#459	C₂²	1	1	yes	characteristic
138	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#449	C₂²	1	1	yes	characteristic
145	C₁₃×#449	C₂²	1	1	yes	characteristic
146	C₁₃×#447	C₂²	1	1	yes	characteristic
147	C₁₃×#447	C₂²	1	1	yes	characteristic
148	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#442	C₂²	1	1	yes	characteristic
155	C₁₃×#442	C₂²	1	1	yes	characteristic
156	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
162	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
163	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
164	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
173	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
176	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
182	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
183	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
184	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
186	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
196	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
198	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
200	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
201	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
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	C₂²×Q₈×C₁₃	—	2	1	no	—
208	C₂²×D₄×C₁₃	—	2	1	no	—
209	C₂²×D₄×C₁₃	—	2	1	no	—
210	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₁₃	—	2	1	no	—
215	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
216	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
217	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×D₈	—	2	4	no	—
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×#127	C₂³	1	1	yes	characteristic
245	C₁₃×#127	C₂³	1	1	yes	characteristic
246	C₁₃×#126	—	2	1	no	—
247	C₁₃×#126	—	2	1	no	—
248	C₁₃×#126	—	2	1	no	—
249	C₁₃×#126	—	2	1	no	—
250	C₁₃×#126	—	2	1	no	—
251	C₁₃×#126	—	2	1	no	—
252	C₁₃×#126	—	2	1	no	—
253	C₁₃×#126	—	2	1	no	—
254	C₁₃×#126	D₄	1	1	yes	characteristic
255	C₁₃×#126	D₄	1	1	yes	characteristic
256	C₁₃×#125	—	2	1	no	—
257	C₁₃×#125	D₄	1	1	yes	characteristic
258	C₁₃×#125	C₂³	1	1	yes	characteristic
259	C₁₃×#125	C₂³	1	1	yes	characteristic
260	C₁₃×#124	—	2	1	no	—
261	C₁₃×#124	—	2	1	no	—
262	C₁₃×#124	—	2	1	no	—
263	C₁₃×#124	—	2	1	no	—
264	C₁₃×#124	—	2	1	no	—
265	C₁₃×#124	—	2	1	no	—
266	C₁₃×#124	—	2	1	no	—
267	C₁₃×#124	—	2	1	no	—
268	C₁₃×#124	—	2	1	no	—
269	C₁₃×#124	—	2	1	no	—
270	C₁₃×#124	—	2	1	no	—
271	C₁₃×#124	D₄	1	1	yes	characteristic
272	C₁₃×#124	C₂³	1	1	yes	characteristic
273	C₁₃×#124	C₂³	1	1	yes	characteristic
274	C₁₃×#124	C₂³	1	1	yes	characteristic
275	C₁₃×#124	C₂³	1	1	yes	characteristic
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×#123	—	2	1	no	—
285	C₁₃×#123	—	2	1	no	—
286	C₁₃×#123	—	2	1	no	—
287	C₁₃×#123	—	2	1	no	—
288	C₁₃×#123	—	2	1	no	—
289	C₁₃×#123	—	2	1	no	—
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×#123	—	2	1	no	—
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	—	2	1	no	—
294	C₁₃×#123	D₄	1	1	yes	characteristic
295	C₁₃×#123	D₄	1	1	yes	characteristic
296	C₁₃×C₂²⋊Q₈	—	2	1	no	—
297	C₁₃×C₂²⋊Q₈	—	2	1	no	—
298	C₁₃×C₂²⋊Q₈	—	2	1	no	—
299	C₁₃×C₂²⋊Q₈	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	—	2	1	no	—
301	C₁₃×C₂²⋊Q₈	—	2	1	no	—
302	C₁₃×C₂²⋊Q₈	—	2	1	no	—
303	C₁₃×C₂²⋊Q₈	—	2	1	no	—
304	C₁₃×C₂²⋊Q₈	—	2	1	no	—
305	C₁₃×C₂²⋊Q₈	—	2	1	no	—
306	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
307	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₁₃×#121	—	2	1	no	—
312	C₁₃×#121	—	2	1	no	—
313	C₁₃×#121	—	2	1	no	—
314	C₁₃×#121	—	2	1	no	—
315	C₁₃×#121	—	2	1	no	—
316	C₁₃×#121	—	2	1	no	—
317	C₁₃×#121	—	2	1	no	—
318	C₁₃×#121	—	2	1	no	—
319	C₁₃×#121	—	2	1	no	—
320	C₁₃×#121	—	2	1	no	—
321	C₁₃×#121	—	2	1	no	—
322	C₁₃×#121	—	2	1	no	—
323	C₁₃×#121	D₄	1	1	yes	characteristic
324	C₁₃×#121	C₂³	1	1	yes	characteristic
325	C₁₃×#121	C₂³	1	1	yes	characteristic
326	C₁₃×#121	C₂³	1	1	yes	characteristic
327	C₁₃×#121	C₂³	1	1	yes	characteristic
328	C₁₃×#121	C₂³	1	1	yes	characteristic
329	C₁₃×#121	C₂³	1	1	yes	characteristic
330	C₁₃×#121	C₂³	1	1	yes	characteristic
331	C₁₃×#121	C₂³	1	1	yes	characteristic
332	C₁₃×#120	—	2	1	no	—
333	C₁₃×#120	—	2	1	no	—
334	C₁₃×#120	—	2	1	no	—
335	C₁₃×#120	—	2	1	no	—
336	C₁₃×#120	—	2	1	no	—
337	C₁₃×#120	—	2	1	no	—
338	C₁₃×#120	—	2	1	no	—
339	C₁₃×#120	—	2	1	no	—
340	C₄×Q₈×C₁₃	—	2	1	no	—
341	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
346	C₄×D₄×C₁₃	—	2	1	no	—
347	C₄×D₄×C₁₃	—	2	1	no	—
348	C₄×D₄×C₁₃	—	2	1	no	—
349	C₄×D₄×C₁₃	—	2	1	no	—
350	C₄×D₄×C₁₃	—	2	1	no	—
351	C₄×D₄×C₁₃	—	2	1	no	—
352	C₄×D₄×C₁₃	—	2	1	no	—
353	C₄×D₄×C₁₃	—	2	1	no	—
354	C₄×D₄×C₁₃	—	2	1	no	—
355	C₄×D₄×C₁₃	—	2	1	no	—
356	C₄×D₄×C₁₃	—	2	1	no	—
357	C₄×D₄×C₁₃	—	2	1	no	—
358	C₄×D₄×C₁₃	—	2	1	no	—
359	C₄×D₄×C₁₃	—	2	1	no	—
360	C₄×D₄×C₁₃	—	2	1	no	—
361	C₄×D₄×C₁₃	—	2	1	no	—
362	C₄×D₄×C₁₃	—	2	1	no	—
363	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
382	C₁₃×#117	—	2	1	no	—
383	C₁₃×#117	—	2	1	no	—
384	C₁₃×#117	—	2	1	no	—
385	C₁₃×#117	—	2	1	no	—
386	C₁₃×#117	—	2	1	no	—
387	C₁₃×#117	—	2	1	no	—
388	C₁₃×#117	C₂³	1	1	yes	characteristic
389	C₁₃×#117	C₂³	1	1	yes	characteristic
390	C₁₃×#117	C₂³	1	1	yes	characteristic
391	C₁₃×#117	C₂³	1	1	yes	characteristic
392	C₁₃×#117	C₂³	1	1	yes	characteristic
393	C₁₃×#117	C₂³	1	1	yes	characteristic
394	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
399	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
400	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
401	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
402	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
403	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
404	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
405	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
406	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
407	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
408	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
409	C₂×C₄²×C₁₃	—	2	1	no	—
410	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#107	C₂³	1	1	yes	characteristic
415	C₁₃×#107	C₂³	1	1	yes	characteristic
416	C₁₃×#107	C₂³	1	1	yes	characteristic
417	C₁₃×#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×#106	C₂³	1	1	yes	characteristic
425	C₁₃×#106	C₂³	1	1	yes	characteristic
426	C₁₃×#106	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×#102	C₂³	1	1	yes	characteristic
445	C₁₃×#102	C₂³	1	1	yes	characteristic
446	C₁₃×#102	C₂³	1	1	yes	characteristic
447	C₁₃×#102	C₂³	1	1	yes	characteristic
448	C₁₃×#102	C₂³	1	1	yes	characteristic
449	C₁₃×#102	C₂³	1	1	yes	characteristic
450	C₁₃×#102	C₂³	1	1	yes	characteristic
451	C₁₃×#102	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₃×#97	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₁₃×#97	C₂³	1	1	yes	characteristic
475	C₁₃×#97	C₂³	1	1	yes	characteristic
476	C₁₃×#97	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
481	#61505	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂⁴×C₁₃	—	2	1	no	—
484	C₂⁴×C₁₃	—	2	1	no	—
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₁₃×#41	—	2	2	no	—
487	C₁₃×#41	—	2	2	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₁₃×#41	—	8	2	no	—
491	C₁₃×#41	—	8	2	no	—
492	C₂×Q₈×C₁₃	—	2	1	no	—
493	C₂×Q₈×C₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	2	1	no	—
496	C₂×Q₈×C₁₃	—	8	2	no	—
497	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	2	no	—
501	C₂×D₄×C₁₃	—	2	2	no	—
502	C₂×D₄×C₁₃	—	2	2	no	—
503	C₂×D₄×C₁₃	—	2	2	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	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	—	4	1	no	—
523	C₂×D₄×C₁₃	—	4	1	no	—
524	C₂×D₄×C₁₃	—	4	1	no	—
525	C₂×D₄×C₁₃	—	4	1	no	—
526	C₂×D₄×C₁₃	—	8	2	no	—
527	C₂×D₄×C₁₃	—	8	2	no	—
528	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	—	2	1	no	—
540	C₂²×C₄×C₁₃	—	2	1	no	—
541	C₂²×C₄×C₁₃	—	2	1	no	—
542	C₂²×C₄×C₁₃	—	2	1	no	—
543	C₂²×C₄×C₁₃	—	2	1	no	—
544	C₂²×C₄×C₁₃	—	2	1	no	—
545	C₂²×C₄×C₁₃	—	2	1	no	—
546	C₂²×C₄×C₁₃	—	2	1	no	—
547	C₂²×C₄×C₁₃	—	2	1	no	—
548	C₂²×C₄×C₁₃	—	2	1	no	—
549	C₂²×C₄×C₁₃	—	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	—	8	2	no	—
558	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
559	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
560	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
563	C₁₃×Q₁₆	—	4	1	no	—
564	C₁₃×SD₁₆	—	2	2	no	—
565	C₁₃×SD₁₆	—	2	2	no	—
566	C₁₃×SD₁₆	—	2	2	no	—
567	C₁₃×SD₁₆	—	2	2	no	—
568	C₁₃×SD₁₆	—	4	1	no	—
569	C₁₃×SD₁₆	—	4	1	no	—
570	C₁₃×D₈	—	2	2	no	—
571	C₁₃×D₈	—	2	2	no	—
572	C₁₃×D₈	—	2	2	no	—
573	C₁₃×D₈	—	2	2	no	—
574	C₁₃×D₈	—	2	2	no	—
575	C₁₃×D₈	—	4	1	no	—
576	C₁₃×D₈	—	4	1	no	—
577	C₁₃×D₈	—	4	1	no	—
578	C₁₃×D₈	#41	1	4	yes	complemented
579	C₁₃×M₁₆	—	2	2	no	—
580	C₁₃×M₁₆	—	2	2	no	—
581	C₁₃×M₁₆	—	4	1	no	—
582	C₁₃×M₁₆	—	4	1	no	—
583	C₂×C₈×C₁₃	—	2	2	no	—
584	C₂×C₈×C₁₃	—	4	1	no	—
585	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	—	2	1	no	—
657	C₁₃×C₂²⋊C₄	—	2	1	no	—
658	C₁₃×C₂²⋊C₄	—	2	1	no	—
659	C₁₃×C₂²⋊C₄	—	2	1	no	—
660	C₁₃×C₂²⋊C₄	—	2	1	no	—
661	C₁₃×C₂²⋊C₄	—	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	C₂×D₄	1	1	yes	characteristic
670	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₄²×C₁₃	—	2	1	no	—
680	C₄²×C₁₃	—	2	1	no	—
681	C₄²×C₁₃	—	2	1	no	—
682	C₄²×C₁₃	—	2	1	no	—
683	C₄²×C₁₃	—	2	1	no	—
684	C₄²×C₁₃	—	2	1	no	—
685	C₄²×C₁₃	—	2	1	no	—
686	C₄²×C₁₃	—	2	1	no	—
687	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
688	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
689	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
690	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
691	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
692	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
693	#3514	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3513	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3403	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3384	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3354	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3350	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3348	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3325	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3323	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3319	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3318	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3311	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3306	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3273	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3264	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3264	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3179	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3173	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
714	#3125	C₂×C₁₃	1	1	yes	characteristic, complemented
715	#3122	C₂×C₁₃	1	1	yes	characteristic, complemented
716	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
717	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
718	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
719	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
720	#2967	C₂×C₁₃	1	1	yes	characteristic, complemented
721	#2948	C₂×C₁₃	1	1	yes	characteristic, complemented
722	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
723	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
724	C₂³×C₁₃	—	2	1	no	—
725	C₂³×C₁₃	—	2	1	no	—
726	C₂³×C₁₃	—	2	1	no	—
727	C₂³×C₁₃	—	2	1	no	—
728	C₂³×C₁₃	—	2	1	no	—
729	C₂³×C₁₃	—	2	1	no	—
730	C₂³×C₁₃	—	4	2	no	—
731	C₂³×C₁₃	—	4	2	no	—
732	C₂³×C₁₃	—	4	2	no	—
733	C₂³×C₁₃	—	4	2	no	—
734	C₂³×C₁₃	—	4	2	no	—
735	C₂³×C₁₃	—	8	1	no	—
736	C₂³×C₁₃	—	8	1	no	—
737	C₂³×C₁₃	—	8	1	no	—
738	C₂³×C₁₃	—	8	1	no	—
739	C₂³×C₁₃	—	8	1	no	—
740	C₂³×C₁₃	—	8	1	no	—
741	C₂³×C₁₃	—	8	1	no	—
742	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
743	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
744	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
745	Q₈×C₁₃	—	2	1	no	—
746	Q₈×C₁₃	—	2	1	no	—
747	Q₈×C₁₃	—	2	1	no	—
748	Q₈×C₁₃	—	2	1	no	—
749	Q₈×C₁₃	—	4	1	no	—
750	Q₈×C₁₃	—	4	2	no	—
751	Q₈×C₁₃	—	8	1	no	—
752	Q₈×C₁₃	—	8	1	no	—
753	Q₈×C₁₃	—	8	1	no	—
754	D₄×C₁₃	—	2	1	no	—
755	D₄×C₁₃	—	2	1	no	—
756	D₄×C₁₃	—	2	1	no	—
757	D₄×C₁₃	—	2	1	no	—
758	D₄×C₁₃	—	2	1	no	—
759	D₄×C₁₃	—	2	1	no	—
760	D₄×C₁₃	—	2	1	no	—
761	D₄×C₁₃	—	2	1	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	4	1	no	—
765	D₄×C₁₃	—	4	1	no	—
766	D₄×C₁₃	—	4	1	no	—
767	D₄×C₁₃	—	4	2	no	—
768	D₄×C₁₃	—	4	2	no	—
769	D₄×C₁₃	—	4	2	no	—
770	D₄×C₁₃	—	4	2	no	—
771	D₄×C₁₃	—	4	2	no	—
772	D₄×C₁₃	—	4	2	no	—
773	D₄×C₁₃	—	4	2	no	—
774	D₄×C₁₃	—	4	2	no	—
775	D₄×C₁₃	—	8	1	no	—
776	D₄×C₁₃	—	8	1	no	—
777	D₄×C₁₃	—	8	1	no	—
778	D₄×C₁₃	—	8	1	no	—
779	D₄×C₁₃	—	8	1	no	—
780	D₄×C₁₃	—	8	1	no	—
781	D₄×C₁₃	—	8	1	no	—
782	D₄×C₁₃	—	8	1	no	—
783	D₄×C₁₃	—	8	1	no	—
784	D₄×C₁₃	—	8	1	no	—
785	D₄×C₁₃	C₂×#41	1	2	yes	—
786	D₄×C₁₃	C₂×#41	1	2	yes	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	4	1	no	—
804	C₂×C₄×C₁₃	—	4	1	no	—
805	C₂×C₄×C₁₃	—	4	2	no	—
806	C₂×C₄×C₁₃	—	4	2	no	—
807	C₂×C₄×C₁₃	—	4	2	no	—
808	C₂×C₄×C₁₃	—	4	2	no	—
809	C₂×C₄×C₁₃	—	8	1	no	—
810	C₂×C₄×C₁₃	—	8	1	no	—
811	C₂×C₄×C₁₃	—	8	1	no	—
812	C₂×C₄×C₁₃	—	8	1	no	—
813	C₂×C₄×C₁₃	—	8	1	no	—
814	C₂×C₄×C₁₃	—	8	1	no	—
815	C₂×C₄×C₁₃	—	8	1	no	—
816	C₂×C₄×C₁₃	—	8	1	no	—
817	C₂×C₄×C₁₃	—	8	1	no	—
818	C₂×C₄×C₁₃	—	8	1	no	—
819	C₂×C₄×C₁₃	—	8	1	no	—
820	C₂×C₄×C₁₃	—	8	1	no	—
821	C₂×C₄×C₁₃	—	8	1	no	—
822	C₂×C₄×C₁₃	—	8	1	no	—
823	C₂×C₄×C₁₃	—	8	1	no	—
824	C₂×C₄×C₁₃	—	8	1	no	—
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
837	C₈×C₁₃	—	2	1	no	—
838	C₈×C₁₃	—	2	1	no	—
839	C₈×C₁₃	—	2	1	no	—
840	C₈×C₁₃	—	2	1	no	—
841	C₈×C₁₃	—	2	1	no	—
842	C₈×C₁₃	—	2	1	no	—
843	C₈×C₁₃	—	2	1	no	—
844	C₈×C₁₃	C₂×#41	1	2	yes	—
845	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
846	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
847	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
848	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
849	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
850	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#555	C₂²×C₁₃	1	1	yes	characteristic
852	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#553	—	2	1	no	—
855	#553	C₂²×C₁₃	1	1	yes	characteristic
856	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#551	—	2	1	no	—
858	#551	—	2	1	no	—
859	#551	—	2	1	no	—
860	#551	—	2	1	no	—
861	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
862	#548	—	2	1	no	—
863	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
864	#546	—	2	1	no	—
865	#546	—	2	1	no	—
866	#546	C₂²×C₁₃	1	1	yes	characteristic
867	#546	C₂²×C₁₃	1	1	yes	characteristic
868	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
869	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
870	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
873	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
874	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
876	#539	—	2	1	no	—
877	#538	—	2	1	no	—
878	#538	—	2	1	no	—
879	#538	—	2	1	no	—
880	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#529	—	2	1	no	—
882	#529	C₂²×C₁₃	1	1	yes	characteristic
883	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	C₂×#124	—	2	1	no	—
885	#525	—	2	1	no	—
886	C₂×#123	—	2	1	no	—
887	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
890	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
892	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
893	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
894	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
895	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
902	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
907	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
908	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
914	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
916	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
921	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
922	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
923	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
924	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
930	#469	C₂²×C₁₃	1	1	yes	characteristic
931	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
939	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
943	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
945	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
946	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
949	#459	C₂²×C₁₃	1	1	yes	characteristic
950	#459	C₂²×C₁₃	1	1	yes	characteristic
951	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	#449	C₂²×C₁₃	1	1	yes	characteristic
958	#449	C₂²×C₁₃	1	1	yes	characteristic
959	#447	C₂²×C₁₃	1	1	yes	characteristic
960	#447	C₂²×C₁₃	1	1	yes	characteristic
961	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
962	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#442	C₂²×C₁₃	1	1	yes	characteristic
968	#442	C₂²×C₁₃	1	1	yes	characteristic
969	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
987	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
988	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
989	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
990	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
994	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
995	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
998	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
999	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1000	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1001	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1002	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1003	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
1004	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
1005	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
1006	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
1007	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
1008	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
1009	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
1010	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1011	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1012	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
1013	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
1014	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
1015	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1016	C₂²×C₁₃	—	2	1	no	—
1017	C₂²×C₁₃	—	2	1	no	—
1018	C₂²×C₁₃	—	2	1	no	—
1019	C₂²×C₁₃	—	2	1	no	—
1020	C₂²×C₁₃	—	2	1	no	—
1021	C₂²×C₁₃	—	2	1	no	—
1022	C₂²×C₁₃	—	2	1	no	—
1023	C₂²×C₁₃	—	2	1	no	—
1024	C₂²×C₁₃	—	2	1	no	—
1025	C₂²×C₁₃	—	2	2	no	—
1026	C₂²×C₁₃	—	2	2	no	—
1027	C₂²×C₁₃	—	4	1	no	—
1028	C₂²×C₁₃	—	4	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	—	4	1	no	—
1033	C₂²×C₁₃	—	4	1	no	—
1034	C₂²×C₁₃	—	4	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	—	8	4	no	—
1044	C₂²×C₁₃	—	16	2	no	—
1045	C₂²×C₁₃	—	16	2	no	—
1046	C₂²×C₁₃	—	16	2	no	—
1047	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1048	C₄×C₁₃	—	2	1	no	—
1049	C₄×C₁₃	—	2	1	no	—
1050	C₄×C₁₃	—	2	1	no	—
1051	C₄×C₁₃	—	2	1	no	—
1052	C₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
1060	C₄×C₁₃	—	4	1	no	—
1061	C₄×C₁₃	—	4	1	no	—
1062	C₄×C₁₃	—	4	1	no	—
1063	C₄×C₁₃	—	4	1	no	—
1064	C₄×C₁₃	—	4	1	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	C₂²×#41	1	1	yes	characteristic
1070	C₄×C₁₃	#585	1	1	yes	characteristic
1071	C₂×#41	—	2	1	no	—
1072	C₂×#41	—	2	1	no	—
1073	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1074	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1075	C₂²×Q₈	—	2	1	no	—
1076	C₂²×D₄	—	2	1	no	—
1077	C₂²×D₄	—	2	1	no	—
1078	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂³×C₄	—	2	1	no	—
1083	AGL(1,ℤ/8)	—	2	4	no	—
1084	AGL(1,ℤ/8)	—	2	4	no	—
1085	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1087	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1092	C₂×D₈	—	2	4	no	—
1093	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1094	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1095	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1096	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1097	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1098	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1099	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1100	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1101	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1102	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1103	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1104	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1105	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1106	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1107	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1108	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1109	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1110	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1111	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1112	#127	C₂³×C₁₃	1	1	yes	characteristic
1113	#127	C₂³×C₁₃	1	1	yes	characteristic
1114	#126	—	2	1	no	—
1115	#126	—	2	1	no	—
1116	#126	—	2	1	no	—
1117	#126	—	2	1	no	—
1118	#126	—	2	1	no	—
1119	#126	—	2	1	no	—
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	D₄×C₁₃	1	1	yes	characteristic
1123	#126	D₄×C₁₃	1	1	yes	characteristic
1124	#125	—	2	1	no	—
1125	#125	D₄×C₁₃	1	1	yes	characteristic
1126	#125	C₂³×C₁₃	1	1	yes	characteristic
1127	#125	C₂³×C₁₃	1	1	yes	characteristic
1128	#124	—	2	1	no	—
1129	#124	—	2	1	no	—
1130	#124	—	2	1	no	—
1131	#124	—	2	1	no	—
1132	#124	—	2	1	no	—
1133	#124	—	2	1	no	—
1134	#124	—	2	1	no	—
1135	#124	—	2	1	no	—
1136	#124	—	2	1	no	—
1137	#124	—	2	1	no	—
1138	#124	—	2	1	no	—
1139	#124	D₄×C₁₃	1	1	yes	characteristic
1140	#124	C₂³×C₁₃	1	1	yes	characteristic
1141	#124	C₂³×C₁₃	1	1	yes	characteristic
1142	#124	C₂³×C₁₃	1	1	yes	characteristic
1143	#124	C₂³×C₁₃	1	1	yes	characteristic
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	D₄×C₁₃	1	1	yes	characteristic
1163	#123	D₄×C₁₃	1	1	yes	characteristic
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	—	2	1	no	—
1167	C₂²⋊Q₈	—	2	1	no	—
1168	C₂²⋊Q₈	—	2	1	no	—
1169	C₂²⋊Q₈	—	2	1	no	—
1170	C₂²⋊Q₈	—	2	1	no	—
1171	C₂²⋊Q₈	—	2	1	no	—
1172	C₂²⋊Q₈	—	2	1	no	—
1173	C₂²⋊Q₈	—	2	1	no	—
1174	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1175	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1176	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1177	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1178	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	2	1	no	—
1191	#121	D₄×C₁₃	1	1	yes	characteristic
1192	#121	C₂³×C₁₃	1	1	yes	characteristic
1193	#121	C₂³×C₁₃	1	1	yes	characteristic
1194	#121	C₂³×C₁₃	1	1	yes	characteristic
1195	#121	C₂³×C₁₃	1	1	yes	characteristic
1196	#121	C₂³×C₁₃	1	1	yes	characteristic
1197	#121	C₂³×C₁₃	1	1	yes	characteristic
1198	#121	C₂³×C₁₃	1	1	yes	characteristic
1199	#121	C₂³×C₁₃	1	1	yes	characteristic
1200	#120	—	2	1	no	—
1201	#120	—	2	1	no	—
1202	#120	—	2	1	no	—
1203	#120	—	2	1	no	—
1204	#120	—	2	1	no	—
1205	#120	—	2	1	no	—
1206	#120	—	2	1	no	—
1207	#120	—	2	1	no	—
1208	C₄×Q₈	—	2	1	no	—
1209	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1210	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1211	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1212	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1213	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1243	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1244	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1245	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1246	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1247	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1248	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1249	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1250	#117	—	2	1	no	—
1251	#117	—	2	1	no	—
1252	#117	—	2	1	no	—
1253	#117	—	2	1	no	—
1254	#117	—	2	1	no	—
1255	#117	—	2	1	no	—
1256	#117	C₂³×C₁₃	1	1	yes	characteristic
1257	#117	C₂³×C₁₃	1	1	yes	characteristic
1258	#117	C₂³×C₁₃	1	1	yes	characteristic
1259	#117	C₂³×C₁₃	1	1	yes	characteristic
1260	#117	C₂³×C₁₃	1	1	yes	characteristic
1261	#117	C₂³×C₁₃	1	1	yes	characteristic
1262	C₂×C₄⋊C₄	—	2	1	no	—
1263	C₂×C₄⋊C₄	—	2	1	no	—
1264	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1265	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1266	C₂×C₂²⋊C₄	—	2	1	no	—
1267	C₂×C₂²⋊C₄	—	2	1	no	—
1268	C₂×C₂²⋊C₄	—	2	1	no	—
1269	C₂×C₂²⋊C₄	—	2	1	no	—
1270	C₂×C₂²⋊C₄	—	2	1	no	—
1271	C₂×C₂²⋊C₄	—	2	1	no	—
1272	C₂×C₂²⋊C₄	—	2	1	no	—
1273	C₂×C₂²⋊C₄	—	2	1	no	—
1274	C₂×C₂²⋊C₄	—	2	1	no	—
1275	C₂×C₂²⋊C₄	—	2	1	no	—
1276	C₂×C₂²⋊C₄	—	2	1	no	—
1277	C₂×C₄²	—	2	1	no	—
1278	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1279	#107	C₂³×C₁₃	1	1	yes	characteristic
1280	#107	C₂³×C₁₃	1	1	yes	characteristic
1281	#107	C₂³×C₁₃	1	1	yes	characteristic
1282	#107	C₂³×C₁₃	1	1	yes	characteristic
1283	#107	C₂³×C₁₃	1	1	yes	characteristic
1284	#107	C₂³×C₁₃	1	1	yes	characteristic
1285	#106	C₂³×C₁₃	1	1	yes	characteristic
1286	#106	C₂³×C₁₃	1	1	yes	characteristic
1287	#106	C₂³×C₁₃	1	1	yes	characteristic
1288	#106	C₂³×C₁₃	1	1	yes	characteristic
1289	#106	C₂³×C₁₃	1	1	yes	characteristic
1290	#106	C₂³×C₁₃	1	1	yes	characteristic
1291	#106	C₂³×C₁₃	1	1	yes	characteristic
1292	#106	C₂³×C₁₃	1	1	yes	characteristic
1293	#106	C₂³×C₁₃	1	1	yes	characteristic
1294	#106	C₂³×C₁₃	1	1	yes	characteristic
1295	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1296	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1297	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1298	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1299	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1300	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1301	#103	C₂³×C₁₃	1	1	yes	characteristic
1302	#103	C₂³×C₁₃	1	1	yes	characteristic
1303	#103	C₂³×C₁₃	1	1	yes	characteristic
1304	#103	C₂³×C₁₃	1	1	yes	characteristic
1305	#103	C₂³×C₁₃	1	1	yes	characteristic
1306	#103	C₂³×C₁₃	1	1	yes	characteristic
1307	#103	C₂³×C₁₃	1	1	yes	characteristic
1308	#103	C₂³×C₁₃	1	1	yes	characteristic
1309	#102	C₂³×C₁₃	1	1	yes	characteristic
1310	#102	C₂³×C₁₃	1	1	yes	characteristic
1311	#102	C₂³×C₁₃	1	1	yes	characteristic
1312	#102	C₂³×C₁₃	1	1	yes	characteristic
1313	#102	C₂³×C₁₃	1	1	yes	characteristic
1314	#102	C₂³×C₁₃	1	1	yes	characteristic
1315	#102	C₂³×C₁₃	1	1	yes	characteristic
1316	#102	C₂³×C₁₃	1	1	yes	characteristic
1317	#102	C₂³×C₁₃	1	1	yes	characteristic
1318	#102	C₂³×C₁₃	1	1	yes	characteristic
1319	#102	C₂³×C₁₃	1	1	yes	characteristic
1320	#102	C₂³×C₁₃	1	1	yes	characteristic
1321	#102	C₂³×C₁₃	1	1	yes	characteristic
1322	#102	C₂³×C₁₃	1	1	yes	characteristic
1323	#102	C₂³×C₁₃	1	1	yes	characteristic
1324	#102	C₂³×C₁₃	1	1	yes	characteristic
1325	#102	C₂³×C₁₃	1	1	yes	characteristic
1326	#102	C₂³×C₁₃	1	1	yes	characteristic
1327	#102	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	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1334	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1335	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1339	#97	C₂³×C₁₃	1	1	yes	characteristic
1340	#97	C₂³×C₁₃	1	1	yes	characteristic
1341	#97	C₂³×C₁₃	1	1	yes	characteristic
1342	#97	C₂³×C₁₃	1	1	yes	characteristic
1343	#97	C₂³×C₁₃	1	1	yes	characteristic
1344	#97	C₂³×C₁₃	1	1	yes	characteristic
1345	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1346	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1347	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1348	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1349	C₂×C₁₃	—	4	1	no	—
1350	C₂×C₁₃	—	4	1	no	—
1351	C₂×C₁₃	—	4	1	no	—
1352	C₂×C₁₃	—	4	2	no	—
1353	C₂×C₁₃	—	4	2	no	—
1354	C₂×C₁₃	—	8	1	no	—
1355	C₂×C₁₃	—	8	1	no	—
1356	C₂×C₁₃	—	8	1	no	—
1357	C₂×C₁₃	—	8	1	no	—
1358	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1359	C₂×C₁₃	#3585	1	1	yes	characteristic
1360	C₂×C₁₃	#3585	1	1	yes	characteristic
1361	C₂⁴	—	2	1	no	—
1362	C₂⁴	—	2	1	no	—
1363	C₂⁴	—	2	1	no	—
1364	C₂⁴	—	2	1	no	—
1365	#41	—	2	2	no	—
1366	#41	—	2	2	no	—
1367	#41	—	4	1	no	—
1368	#41	—	4	1	no	—
1369	#41	—	8	2	no	—
1370	#41	—	8	2	no	—
1371	C₂×Q₈	—	2	1	no	—
1372	C₂×Q₈	—	2	1	no	—
1373	C₂×Q₈	—	2	1	no	—
1374	C₂×Q₈	—	2	1	no	—
1375	C₂×Q₈	—	8	2	no	—
1376	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1377	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1378	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1379	C₂×D₄	—	2	2	no	—
1380	C₂×D₄	—	2	2	no	—
1381	C₂×D₄	—	2	2	no	—
1382	C₂×D₄	—	2	2	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
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	—	4	1	no	—
1402	C₂×D₄	—	4	1	no	—
1403	C₂×D₄	—	4	1	no	—
1404	C₂×D₄	—	4	1	no	—
1405	C₂×D₄	—	8	2	no	—
1406	C₂×D₄	—	8	2	no	—
1407	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1408	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1409	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1410	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1411	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1412	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1413	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1414	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1415	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	—	2	1	no	—
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
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	—	8	2	no	—
1437	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1438	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1439	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1440	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1441	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1442	Q₁₆	—	4	1	no	—
1443	SD₁₆	—	2	2	no	—
1444	SD₁₆	—	2	2	no	—
1445	SD₁₆	—	2	2	no	—
1446	SD₁₆	—	2	2	no	—
1447	SD₁₆	—	4	1	no	—
1448	SD₁₆	—	4	1	no	—
1449	D₈	—	2	2	no	—
1450	D₈	—	2	2	no	—
1451	D₈	—	2	2	no	—
1452	D₈	—	2	2	no	—
1453	D₈	—	2	2	no	—
1454	D₈	—	4	1	no	—
1455	D₈	—	4	1	no	—
1456	D₈	—	4	1	no	—
1457	D₈	C₁₃×#41	1	4	yes	complemented
1458	M₁₆	—	2	2	no	—
1459	M₁₆	—	2	2	no	—
1460	M₁₆	—	4	1	no	—
1461	M₁₆	—	4	1	no	—
1462	C₂×C₈	—	2	2	no	—
1463	C₂×C₈	—	4	1	no	—
1464	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1465	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1466	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1467	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1468	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1469	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1470	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1471	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1498	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1502	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1503	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1506	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1507	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1549	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1550	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1551	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1553	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1554	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1555	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1556	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1557	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1558	C₄²	—	2	1	no	—
1559	C₄²	—	2	1	no	—
1560	C₄²	—	2	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	2	1	no	—
1565	C₄²	—	2	1	no	—
1566	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1567	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1568	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1569	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1570	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1571	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1572	C₁₃	#61505	1	1	yes	characteristic, direct product factor, Sylow
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	2	1	no	—
1577	C₂³	—	2	1	no	—
1578	C₂³	—	2	1	no	—
1579	C₂³	—	4	2	no	—
1580	C₂³	—	4	2	no	—
1581	C₂³	—	4	2	no	—
1582	C₂³	—	4	2	no	—
1583	C₂³	—	4	2	no	—
1584	C₂³	—	8	1	no	—
1585	C₂³	—	8	1	no	—
1586	C₂³	—	8	1	no	—
1587	C₂³	—	8	1	no	—
1588	C₂³	—	8	1	no	—
1589	C₂³	—	8	1	no	—
1590	C₂³	—	8	1	no	—
1591	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1592	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1593	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	2	1	no	—
1597	Q₈	—	2	1	no	—
1598	Q₈	—	4	1	no	—
1599	Q₈	—	4	2	no	—
1600	Q₈	—	8	1	no	—
1601	Q₈	—	8	1	no	—
1602	Q₈	—	8	1	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	2	1	no	—
1605	D₄	—	2	1	no	—
1606	D₄	—	2	1	no	—
1607	D₄	—	2	1	no	—
1608	D₄	—	2	1	no	—
1609	D₄	—	2	1	no	—
1610	D₄	—	2	1	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	2	1	no	—
1613	D₄	—	4	1	no	—
1614	D₄	—	4	1	no	—
1615	D₄	—	4	1	no	—
1616	D₄	—	4	2	no	—
1617	D₄	—	4	2	no	—
1618	D₄	—	4	2	no	—
1619	D₄	—	4	2	no	—
1620	D₄	—	4	2	no	—
1621	D₄	—	4	2	no	—
1622	D₄	—	4	2	no	—
1623	D₄	—	4	2	no	—
1624	D₄	—	8	1	no	—
1625	D₄	—	8	1	no	—
1626	D₄	—	8	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	8	1	no	—
1629	D₄	—	8	1	no	—
1630	D₄	—	8	1	no	—
1631	D₄	—	8	1	no	—
1632	D₄	—	8	1	no	—
1633	D₄	—	8	1	no	—
1634	D₄	C₂×C₁₃×#41	1	2	yes	—
1635	D₄	C₂×C₁₃×#41	1	2	yes	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	4	1	no	—
1653	C₂×C₄	—	4	1	no	—
1654	C₂×C₄	—	4	2	no	—
1655	C₂×C₄	—	4	2	no	—
1656	C₂×C₄	—	4	2	no	—
1657	C₂×C₄	—	4	2	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	—	8	1	no	—
1661	C₂×C₄	—	8	1	no	—
1662	C₂×C₄	—	8	1	no	—
1663	C₂×C₄	—	8	1	no	—
1664	C₂×C₄	—	8	1	no	—
1665	C₂×C₄	—	8	1	no	—
1666	C₂×C₄	—	8	1	no	—
1667	C₂×C₄	—	8	1	no	—
1668	C₂×C₄	—	8	1	no	—
1669	C₂×C₄	—	8	1	no	—
1670	C₂×C₄	—	8	1	no	—
1671	C₂×C₄	—	8	1	no	—
1672	C₂×C₄	—	8	1	no	—
1673	C₂×C₄	—	8	1	no	—
1674	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1675	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1676	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1677	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1678	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1679	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1680	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1681	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1682	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1683	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1684	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1685	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1686	C₈	—	2	1	no	—
1687	C₈	—	2	1	no	—
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	2	1	no	—
1691	C₈	—	2	1	no	—
1692	C₈	—	2	1	no	—
1693	C₈	C₂×C₁₃×#41	1	2	yes	—
1694	C₂²	—	2	1	no	—
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	1	no	—
1701	C₂²	—	2	1	no	—
1702	C₂²	—	2	1	no	—
1703	C₂²	—	2	2	no	—
1704	C₂²	—	2	2	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	8	4	no	—
1722	C₂²	—	16	2	no	—
1723	C₂²	—	16	2	no	—
1724	C₂²	—	16	2	no	—
1725	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1726	C₄	—	2	1	no	—
1727	C₄	—	2	1	no	—
1728	C₄	—	2	1	no	—
1729	C₄	—	2	1	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	2	1	no	—
1732	C₄	—	2	1	no	—
1733	C₄	—	2	1	no	—
1734	C₄	—	2	1	no	—
1735	C₄	—	2	1	no	—
1736	C₄	—	2	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	4	1	no	—
1743	C₄	—	4	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	4	1	no	—
1746	C₄	—	4	1	no	—
1747	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1748	C₄	C₁₃×#585	1	1	yes	characteristic
1749	C₂	—	4	1	no	—
1750	C₂	—	4	1	no	—
1751	C₂	—	4	1	no	—
1752	C₂	—	4	2	no	—
1753	C₂	—	4	2	no	—
1754	C₂	—	8	1	no	—
1755	C₂	—	8	1	no	—
1756	C₂	—	8	1	no	—
1757	C₂	—	8	1	no	—
1758	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1759	C₂	C₁₃×#3585	1	1	yes	characteristic
1760	C₂	C₁₃×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3514	C₂	semidirect
2. C₁₃×#3513	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3384	C₂	semidirect
5. C₁₃×#3373	C₂	semidirect
6. C₁₃×#3370	C₂	semidirect
7. C₁₃×#3354	C₂	semidirect
8. C₁₃×#3350	C₂	semidirect
9. C₁₃×#3348	C₂	semidirect
10. C₁₃×#3325	C₂	semidirect
11. C₁₃×#3323	C₂	semidirect
12. C₁₃×#3319	C₂	semidirect
13. C₁₃×#3318	C₂	semidirect
14. C₁₃×#3311	C₂	semidirect
15. C₁₃×#3306	C₂	semidirect
16. C₁₃×#3273	C₂	semidirect
17. C₁₃×#3264	C₂	semidirect
18. C₁₃×#3264	C₂	semidirect
19. C₁₃×#3179	C₂	semidirect
20. C₁₃×#3173	C₂	semidirect
21. C₁₃×#3171	C₂	semidirect
22. C₁₃×#3125	C₂	semidirect
23. C₁₃×#3122	C₂	semidirect
24. C₁₃×#3118	C₂	semidirect
25. C₁₃×#3118	C₂	semidirect
26. C₁₃×#3111	C₂	semidirect
27. C₁₃×#3109	C₂	semidirect
28. C₁₃×#2967	C₂	semidirect
29. C₁₃×#2948	C₂	semidirect
30. C₁₃×#2946	C₂	semidirect
31. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
35. C₁₃×#559	C₂²	semidirect
36. C₁₃×#559	C₂²	semidirect
37. C₁₃×#556	C₂²	semidirect
39. C₁₃×#555	C₂²	semidirect
40. C₁₃×#554	C₂²	semidirect
43. C₁₃×#552	C₂²	semidirect
48. D₄×Q₈×C₁₃	C₂²	semidirect
50. C₁₃×#547	C₂²	semidirect
55. C₁₃×#546	C₂²	semidirect
56. C₁₃×#546	C₂²	semidirect
57. D₄²×C₁₃	C₂²	semidirect
58. D₄²×C₁₃	C₂²	semidirect
59. C₁₃×#542	C₂²	semidirect
60. C₁₃×#542	C₂²	semidirect
61. C₁₃×#542	C₂²	semidirect
62. C₁₃×#540	C₂²	semidirect
67. C₁₃×#532	C₂²	semidirect
70. C₁₃×#529	C₂²	semidirect
74. C₁₃×#520	C₂²	semidirect
75. C₁₃×#518	C₂²	semidirect
76. C₁₃×#518	C₂²	semidirect
77. C₁₃×#518	C₂²	semidirect
78. C₄×C₁₃×#41	C₂²	semidirect
79. C₂×C₄×D₄×C₁₃	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
81. C₁₃×#501	C₂²	semidirect
82. C₁₃×#498	C₂²	semidirect
83. C₁₃×#496	C₂²	semidirect
84. C₁₃×#496	C₂²	semidirect
85. C₁₃×#495	C₂²	semidirect
86. C₁₃×#490	C₂²	semidirect
87. C₁₃×#489	C₂²	semidirect
88. C₁₃×#489	C₂²	semidirect
89. C₁₃×#489	C₂²	semidirect
90. C₁₃×#488	C₂²	semidirect
91. C₁₃×#486	C₂²	semidirect
92. C₁₃×#485	C₂²	semidirect
93. C₁₃×#485	C₂²	semidirect
94. C₁₃×#485	C₂²	semidirect
95. C₁₃×#483	C₂²	semidirect
96. C₁₃×#482	C₂²	semidirect
97. C₁₃×#482	C₂²	semidirect
98. C₁₃×#482	C₂²	semidirect
99. C₁₃×#482	C₂²	semidirect
100. C₁₃×#482	C₂²	semidirect
101. C₁₃×#481	C₂²	semidirect
102. C₁₃×#481	C₂²	semidirect
103. C₁₃×#481	C₂²	semidirect
104. C₁₃×#479	C₂²	semidirect
105. C₁₃×#478	C₂²	semidirect
106. C₁₃×#478	C₂²	semidirect
107. C₁₃×#478	C₂²	semidirect
108. C₁₃×#476	C₂²	semidirect
109. C₁₃×#476	C₂²	semidirect
110. C₁₃×#476	C₂²	semidirect
111. C₁₃×#476	C₂²	semidirect
112. C₁₃×#476	C₂²	semidirect
113. C₁₃×#475	C₂²	semidirect
114. C₁₃×#474	C₂²	semidirect
115. C₁₃×#474	C₂²	semidirect
116. C₁₃×#470	C₂²	semidirect
118. C₁₃×#469	C₂²	semidirect
119. C₁₃×#469	C₂²	semidirect
120. C₁₃×#469	C₂²	semidirect
121. C₁₃×#468	C₂²	semidirect
122. C₁₃×#468	C₂²	semidirect
123. C₁₃×#468	C₂²	semidirect
124. C₁₃×#466	C₂²	semidirect
125. C₁₃×#465	C₂²	semidirect
126. C₁₃×#465	C₂²	semidirect
127. C₁₃×#465	C₂²	semidirect
128. C₁₃×#464	C₂²	semidirect
129. C₁₃×#464	C₂²	semidirect
130. C₁₃×#463	C₂²	semidirect
131. C₁₃×#463	C₂²	semidirect
132. C₁₃×#463	C₂²	semidirect
133. C₁₃×#463	C₂²	semidirect
134. C₁₃×#463	C₂²	semidirect
135. C₁₃×#463	C₂²	semidirect
138. C₁₃×#459	C₂²	semidirect
139. C₁₃×#459	C₂²	semidirect
140. C₁₃×#452	C₂²	semidirect
141. C₁₃×#452	C₂²	semidirect
142. C₁₃×#450	C₂²	semidirect
143. C₁₃×#450	C₂²	semidirect
148. C₁₃×#447	C₂²	semidirect
149. C₁₃×#447	C₂²	semidirect
150. C₁₃×#447	C₂²	semidirect
151. C₁₃×#447	C₂²	semidirect
152. C₁₃×#446	C₂²	semidirect
153. C₁₃×#446	C₂²	semidirect
156. C₁₃×#442	C₂²	semidirect
157. C₁₃×#442	C₂²	semidirect
158. C₁₃×#442	C₂²	semidirect
159. C₁₃×#442	C₂²	semidirect
160. C₁₃×#442	C₂²	semidirect
161. C₁₃×#442	C₂²	semidirect
162. C₁₃×#442	C₂²	semidirect
163. C₁₃×#442	C₂²	semidirect
164. C₁₃×#441	C₂²	semidirect
165. C₁₃×#440	C₂²	semidirect
166. C₁₃×#440	C₂²	semidirect
167. C₁₃×#440	C₂²	semidirect
168. C₁₃×#440	C₂²	semidirect
169. C₁₃×#440	C₂²	semidirect
170. C₄×C₁₃×SD₁₆	C₂²	semidirect
171. C₄×C₁₃×SD₁₆	C₂²	semidirect
172. C₄×C₁₃×SD₁₆	C₂²	semidirect
173. C₄×C₁₃×SD₁₆	C₂²	semidirect
174. C₄×C₁₃×SD₁₆	C₂²	semidirect
177. C₄×C₁₃×D₈	C₂²	semidirect
178. C₄×C₁₃×D₈	C₂²	semidirect
179. C₄×C₁₃×D₈	C₂²	semidirect
180. C₄×C₁₃×D₈	C₂²	semidirect
181. C₄×C₁₃×D₈	C₂²	semidirect
182. C₁₃×#436	C₂²	semidirect
183. C₁₃×#436	C₂²	semidirect
184. C₁₃×#435	C₂²	semidirect
185. C₁₃×#435	C₂²	semidirect
186. C₁₃×#435	C₂²	semidirect
187. C₁₃×#435	C₂²	semidirect
188. C₁₃×#433	C₂²	semidirect
189. C₁₃×#433	C₂²	semidirect
190. C₁₃×#432	C₂²	semidirect
191. C₁₃×#428	C₂²	semidirect
192. C₁₃×#428	C₂²	semidirect
193. C₁₃×#427	C₂²	semidirect
194. C₁₃×#418	C₂²	semidirect
195. C₁₃×#418	C₂²	semidirect
196. C₁₃×#418	C₂²	semidirect
197. C₁₃×#417	C₂²	semidirect
198. C₁₃×#416	C₂²	semidirect
199. C₂×C₁₃×#102	C₂²	semidirect
200. C₁₃×#405	C₂²	semidirect
201. C₁₃×#405	C₂²	semidirect
202. C₄×C₁₃×M₁₆	C₂²	semidirect
481. #61505	C₁₃	direct (N × H)
578. C₁₃×D₈	#41	semidirect
693. #3514	C₂×C₁₃	semidirect
694. #3513	C₂×C₁₃	semidirect
695. #3403	C₂×C₁₃	semidirect
696. #3384	C₂×C₁₃	semidirect
697. #3373	C₂×C₁₃	semidirect
698. #3370	C₂×C₁₃	semidirect
699. #3354	C₂×C₁₃	semidirect
700. #3350	C₂×C₁₃	semidirect
701. #3348	C₂×C₁₃	semidirect
702. #3325	C₂×C₁₃	semidirect
703. #3323	C₂×C₁₃	semidirect
704. #3319	C₂×C₁₃	semidirect
705. #3318	C₂×C₁₃	semidirect
706. #3311	C₂×C₁₃	semidirect
707. #3306	C₂×C₁₃	semidirect
708. #3273	C₂×C₁₃	semidirect
709. #3264	C₂×C₁₃	semidirect
710. #3264	C₂×C₁₃	semidirect
711. #3179	C₂×C₁₃	semidirect
712. #3173	C₂×C₁₃	semidirect
713. #3171	C₂×C₁₃	semidirect
714. #3125	C₂×C₁₃	semidirect
715. #3122	C₂×C₁₃	semidirect
716. #3118	C₂×C₁₃	semidirect
717. #3118	C₂×C₁₃	semidirect
718. #3111	C₂×C₁₃	semidirect
719. #3109	C₂×C₁₃	semidirect
720. #2967	C₂×C₁₃	semidirect
721. #2948	C₂×C₁₃	semidirect
722. #2946	C₂×C₁₃	semidirect
723. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
848. #559	C₂²×C₁₃	semidirect
849. #559	C₂²×C₁₃	semidirect
850. #556	C₂²×C₁₃	semidirect
852. #555	C₂²×C₁₃	semidirect
853. #554	C₂²×C₁₃	semidirect
856. #552	C₂²×C₁₃	semidirect
861. D₄×Q₈	C₂²×C₁₃	semidirect
863. #547	C₂²×C₁₃	semidirect
868. #546	C₂²×C₁₃	semidirect
869. #546	C₂²×C₁₃	semidirect
870. D₄²	C₂²×C₁₃	semidirect
871. D₄²	C₂²×C₁₃	semidirect
872. #542	C₂²×C₁₃	semidirect
873. #542	C₂²×C₁₃	semidirect
874. #542	C₂²×C₁₃	semidirect
875. #540	C₂²×C₁₃	semidirect
880. #532	C₂²×C₁₃	semidirect
883. #529	C₂²×C₁₃	semidirect
887. #520	C₂²×C₁₃	semidirect
888. #518	C₂²×C₁₃	semidirect
889. #518	C₂²×C₁₃	semidirect
890. #518	C₂²×C₁₃	semidirect
891. C₄×#41	C₂²×C₁₃	semidirect
892. C₂×C₄×D₄	C₂²×C₁₃	semidirect
893. #501	C₂²×C₁₃	semidirect
894. #501	C₂²×C₁₃	semidirect
895. #498	C₂²×C₁₃	semidirect
896. #496	C₂²×C₁₃	semidirect
897. #496	C₂²×C₁₃	semidirect
898. #495	C₂²×C₁₃	semidirect
899. #490	C₂²×C₁₃	semidirect
900. #489	C₂²×C₁₃	semidirect
901. #489	C₂²×C₁₃	semidirect
902. #489	C₂²×C₁₃	semidirect
903. #488	C₂²×C₁₃	semidirect
904. #486	C₂²×C₁₃	semidirect
905. #485	C₂²×C₁₃	semidirect
906. #485	C₂²×C₁₃	semidirect
907. #485	C₂²×C₁₃	semidirect
908. #483	C₂²×C₁₃	semidirect
909. #482	C₂²×C₁₃	semidirect
910. #482	C₂²×C₁₃	semidirect
911. #482	C₂²×C₁₃	semidirect
912. #482	C₂²×C₁₃	semidirect
913. #482	C₂²×C₁₃	semidirect
914. #481	C₂²×C₁₃	semidirect
915. #481	C₂²×C₁₃	semidirect
916. #481	C₂²×C₁₃	semidirect
917. #479	C₂²×C₁₃	semidirect
918. #478	C₂²×C₁₃	semidirect
919. #478	C₂²×C₁₃	semidirect
920. #478	C₂²×C₁₃	semidirect
921. #476	C₂²×C₁₃	semidirect
922. #476	C₂²×C₁₃	semidirect
923. #476	C₂²×C₁₃	semidirect
924. #476	C₂²×C₁₃	semidirect
925. #476	C₂²×C₁₃	semidirect
926. #475	C₂²×C₁₃	semidirect
927. #474	C₂²×C₁₃	semidirect
928. #474	C₂²×C₁₃	semidirect
929. #470	C₂²×C₁₃	semidirect
931. #469	C₂²×C₁₃	semidirect
932. #469	C₂²×C₁₃	semidirect
933. #469	C₂²×C₁₃	semidirect
934. #468	C₂²×C₁₃	semidirect
935. #468	C₂²×C₁₃	semidirect
936. #468	C₂²×C₁₃	semidirect
937. #466	C₂²×C₁₃	semidirect
938. #465	C₂²×C₁₃	semidirect
939. #465	C₂²×C₁₃	semidirect
940. #465	C₂²×C₁₃	semidirect
941. #464	C₂²×C₁₃	semidirect
942. #464	C₂²×C₁₃	semidirect
943. #463	C₂²×C₁₃	semidirect
944. #463	C₂²×C₁₃	semidirect
945. #463	C₂²×C₁₃	semidirect
946. #463	C₂²×C₁₃	semidirect
947. #463	C₂²×C₁₃	semidirect
948. #463	C₂²×C₁₃	semidirect
951. #459	C₂²×C₁₃	semidirect
952. #459	C₂²×C₁₃	semidirect
953. #452	C₂²×C₁₃	semidirect
954. #452	C₂²×C₁₃	semidirect
955. #450	C₂²×C₁₃	semidirect
956. #450	C₂²×C₁₃	semidirect
961. #447	C₂²×C₁₃	semidirect
962. #447	C₂²×C₁₃	semidirect
963. #447	C₂²×C₁₃	semidirect
964. #447	C₂²×C₁₃	semidirect
965. #446	C₂²×C₁₃	semidirect
966. #446	C₂²×C₁₃	semidirect
969. #442	C₂²×C₁₃	semidirect
970. #442	C₂²×C₁₃	semidirect
971. #442	C₂²×C₁₃	semidirect
972. #442	C₂²×C₁₃	semidirect
973. #442	C₂²×C₁₃	semidirect
974. #442	C₂²×C₁₃	semidirect
975. #442	C₂²×C₁₃	semidirect
976. #442	C₂²×C₁₃	semidirect
977. #441	C₂²×C₁₃	semidirect
978. #440	C₂²×C₁₃	semidirect
979. #440	C₂²×C₁₃	semidirect
980. #440	C₂²×C₁₃	semidirect
981. #440	C₂²×C₁₃	semidirect
982. #440	C₂²×C₁₃	semidirect
983. C₄×SD₁₆	C₂²×C₁₃	semidirect
984. C₄×SD₁₆	C₂²×C₁₃	semidirect
985. C₄×SD₁₆	C₂²×C₁₃	semidirect
986. C₄×SD₁₆	C₂²×C₁₃	semidirect
987. C₄×SD₁₆	C₂²×C₁₃	semidirect
990. C₄×D₈	C₂²×C₁₃	semidirect
991. C₄×D₈	C₂²×C₁₃	semidirect
992. C₄×D₈	C₂²×C₁₃	semidirect
993. C₄×D₈	C₂²×C₁₃	semidirect
994. C₄×D₈	C₂²×C₁₃	semidirect
995. #436	C₂²×C₁₃	semidirect
996. #436	C₂²×C₁₃	semidirect
997. #435	C₂²×C₁₃	semidirect
998. #435	C₂²×C₁₃	semidirect
999. #435	C₂²×C₁₃	semidirect
1000. #435	C₂²×C₁₃	semidirect
1001. #433	C₂²×C₁₃	semidirect
1002. #433	C₂²×C₁₃	semidirect
1003. #432	C₂²×C₁₃	semidirect
1004. #428	C₂²×C₁₃	semidirect
1005. #428	C₂²×C₁₃	semidirect
1006. #427	C₂²×C₁₃	semidirect
1007. #418	C₂²×C₁₃	semidirect
1008. #418	C₂²×C₁₃	semidirect
1009. #418	C₂²×C₁₃	semidirect
1010. #417	C₂²×C₁₃	semidirect
1011. #416	C₂²×C₁₃	semidirect
1012. C₂×#102	C₂²×C₁₃	semidirect
1013. #405	C₂²×C₁₃	semidirect
1014. #405	C₂²×C₁₃	semidirect
1015. C₄×M₁₆	C₂²×C₁₃	semidirect
1457. D₈	C₁₃×#41	semidirect
1572. C₁₃	#61505	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×#3514	2
C₁₃×#3513	2
C₁₃×#3403	2
C₁₃×#3384	2
C₁₃×#3373	2
C₁₃×#3370	2
C₁₃×#3354	2
C₁₃×#3350	2
C₁₃×#3348	2
C₁₃×#3325	2
C₁₃×#3323	2
C₁₃×#3319	2
C₁₃×#3318	2
C₁₃×#3311	2
C₁₃×#3306	2
C₁₃×#3273	2
C₁₃×#3264	2
C₁₃×#3179	2
C₁₃×#3173	2
C₁₃×#3171	2
C₁₃×#3125	2
C₁₃×#3122	2
C₁₃×#3118	2
C₁₃×#3111	2
C₁₃×#3109	2
C₁₃×#2967	2
C₁₃×#2948	2
C₁₃×#2946	2
C₄×C₁₃×AGL(1,ℤ/8)	2
#61505	13

Subgroups — C13×#61505 #15747844

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61505 #15747844