Subgroups — C₁₃×#61445 #15747784

Order 3328.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3351	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3345	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3275	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×#3172	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3168	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
35	C₁₃×#559	C₂²	1	1	yes	characteristic
36	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#556	—	2	1	no	—
38	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#554	C₂²	1	1	yes	characteristic
40	C₁₃×#554	C₂²	1	1	yes	characteristic
41	C₁₃×#553	—	2	1	no	—
42	C₁₃×#553	C₂²	1	1	yes	characteristic
43	C₁₃×#553	C₂²	1	1	yes	characteristic
44	C₁₃×#552	—	2	1	no	—
45	C₁₃×#552	—	2	1	no	—
46	C₁₃×#552	C₂²	1	1	yes	characteristic
47	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#551	—	2	1	no	—
49	C₁₃×#551	—	2	1	no	—
50	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#548	C₂²	1	1	yes	characteristic
52	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#547	—	2	1	no	—
54	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#546	—	2	1	no	—
56	C₁₃×#546	C₂²	1	1	yes	characteristic
57	C₁₃×#546	C₂²	1	1	yes	characteristic
58	D₄²×C₁₃	C₂²	1	1	yes	characteristic
59	C₁₃×#533	—	2	1	no	—
60	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#532	C₂²	1	1	yes	characteristic
62	C₁₃×#529	—	2	1	no	—
63	C₁₃×#529	—	2	1	no	—
64	C₁₃×#529	—	2	1	no	—
65	C₁₃×#529	C₂²	1	1	yes	characteristic
66	C₁₃×#529	C₂²	1	1	yes	characteristic
67	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#525	—	2	1	no	—
70	C₁₃×#525	—	2	1	no	—
71	C₄×C₁₃×#41	—	2	1	no	—
72	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
73	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
74	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×D₄×C₁₃	—	2	1	no	—
78	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
80	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#496	C₂²	1	1	yes	characteristic
85	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#490	C₂²	1	1	yes	characteristic
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×#488	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×#484	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#482	C₂²	1	1	yes	characteristic
99	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#481	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×#480	C₂²	1	1	yes	characteristic
104	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#478	C₂²	1	1	yes	characteristic
109	C₁₃×#478	C₂²	1	1	yes	characteristic
110	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#476	C₂²	1	1	yes	characteristic
113	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#468	C₂²	1	1	yes	characteristic
121	C₁₃×#468	C₂²	1	1	yes	characteristic
122	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#466	C₂²	1	1	yes	characteristic
126	C₁₃×#465	C₂²	1	1	yes	characteristic
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×#464	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#463	C₂²	1	1	yes	characteristic
133	C₁₃×#463	C₂²	1	1	yes	characteristic
134	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#461	C₂²	1	1	yes	characteristic
137	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#460	C₂²	1	1	yes	characteristic
139	C₁₃×#460	C₂²	1	1	yes	characteristic
140	C₁₃×#452	C₂²	1	1	yes	characteristic
141	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#450	C₂²	1	1	yes	characteristic
144	C₁₃×#450	C₂²	1	1	yes	characteristic
145	C₁₃×#450	C₂²	1	1	yes	characteristic
146	C₁₃×#449	C₂²	1	1	yes	characteristic
147	C₁₃×#449	C₂²	1	1	yes	characteristic
148	C₁₃×#448	C₂²	1	1	yes	characteristic
149	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#447	C₂²	1	1	yes	characteristic
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, complemented
156	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#440	C₂²	1	1	yes	characteristic
159	C₁₃×#440	C₂²	1	1	yes	characteristic
160	C₁₃×#440	C₂²	1	1	yes	characteristic
161	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
162	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
163	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
166	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
167	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
168	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
169	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
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×SD₁₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
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
185	C₁₃×#435	C₂²	1	1	yes	characteristic
186	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#431	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	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#418	C₂²	1	1	yes	characteristic
196	C₁₃×#417	C₂²	1	1	yes	characteristic
197	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
200	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₁₃	—	2	1	no	—
211	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₁₃	—	2	1	no	—
214	C₂³×C₄×C₁₃	—	2	1	no	—
215	C₁₃×#137	—	2	4	no	—
216	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
217	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	—	2	4	no	—
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×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×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	—	2	1	no	—
241	C₁₃×C₄⋊Q₈	—	2	1	no	—
242	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×#127	C₂³	1	1	yes	characteristic
246	C₁₃×#126	—	2	1	no	—
247	C₁₃×#126	—	2	1	no	—
248	C₁₃×#126	—	2	1	no	—
249	C₁₃×#126	—	2	1	no	—
250	C₁₃×#126	—	2	1	no	—
251	C₁₃×#126	—	2	1	no	—
252	C₁₃×#126	—	2	1	no	—
253	C₁₃×#126	—	2	1	no	—
254	C₁₃×#126	—	2	1	no	—
255	C₁₃×#126	—	2	1	no	—
256	C₁₃×#125	—	2	1	no	—
257	C₁₃×#125	—	2	1	no	—
258	C₁₃×#125	—	2	1	no	—
259	C₁₃×#125	—	2	1	no	—
260	C₁₃×#125	—	2	1	no	—
261	C₁₃×#125	—	2	1	no	—
262	C₁₃×#125	C₂³	1	1	yes	characteristic
263	C₁₃×#125	C₂³	1	1	yes	characteristic
264	C₁₃×#125	C₂³	1	1	yes	characteristic
265	C₁₃×#125	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
271	C₁₃×#124	C₂³	1	1	yes	characteristic
272	C₁₃×#124	C₂³	1	1	yes	characteristic
273	C₁₃×#124	C₂³	1	1	yes	characteristic
274	C₁₃×#123	—	2	1	no	—
275	C₁₃×#123	—	2	1	no	—
276	C₁₃×#123	—	2	1	no	—
277	C₁₃×#123	—	2	1	no	—
278	C₁₃×#123	—	2	1	no	—
279	C₁₃×#123	—	2	1	no	—
280	C₁₃×#123	—	2	1	no	—
281	C₁₃×#123	—	2	1	no	—
282	C₁₃×#123	—	2	1	no	—
283	C₁₃×#123	—	2	1	no	—
284	C₁₃×#123	—	2	1	no	—
285	C₁₃×#123	—	2	1	no	—
286	C₁₃×#123	—	2	1	no	—
287	C₁₃×#123	—	2	1	no	—
288	C₁₃×C₂²⋊Q₈	—	2	1	no	—
289	C₁₃×C₂²⋊Q₈	—	2	1	no	—
290	C₁₃×C₂²⋊Q₈	—	2	1	no	—
291	C₁₃×C₂²⋊Q₈	—	2	1	no	—
292	C₁₃×C₂²⋊Q₈	—	2	1	no	—
293	C₁₃×C₂²⋊Q₈	—	2	1	no	—
294	C₁₃×C₂²⋊Q₈	—	2	1	no	—
295	C₁₃×C₂²⋊Q₈	—	2	1	no	—
296	C₁₃×C₂²⋊Q₈	—	2	1	no	—
297	C₁₃×C₂²⋊Q₈	—	2	1	no	—
298	C₁₃×C₂²⋊Q₈	—	2	1	no	—
299	C₁₃×C₂²⋊Q₈	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
304	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
305	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	C₁₃×#121	—	2	1	no	—
307	C₁₃×#121	—	2	1	no	—
308	C₁₃×#121	—	2	1	no	—
309	C₁₃×#121	—	2	1	no	—
310	C₁₃×#121	—	2	1	no	—
311	C₁₃×#121	—	2	1	no	—
312	C₁₃×#121	—	2	1	no	—
313	C₁₃×#121	—	2	1	no	—
314	C₁₃×#121	C₂³	1	1	yes	characteristic
315	C₁₃×#121	C₂³	1	1	yes	characteristic
316	C₁₃×#121	C₂³	1	1	yes	characteristic
317	C₁₃×#121	C₂³	1	1	yes	characteristic
318	C₁₃×#121	C₂³	1	1	yes	characteristic
319	C₁₃×#121	C₂³	1	1	yes	characteristic
320	C₁₃×#120	—	2	1	no	—
321	C₁₃×#120	—	2	1	no	—
322	C₁₃×#120	—	2	1	no	—
323	C₁₃×#120	—	2	1	no	—
324	C₄×Q₈×C₁₃	—	2	1	no	—
325	C₄×Q₈×C₁₃	—	2	1	no	—
326	C₄×Q₈×C₁₃	—	2	1	no	—
327	C₄×Q₈×C₁₃	—	2	1	no	—
328	C₄×Q₈×C₁₃	—	2	1	no	—
329	C₄×Q₈×C₁₃	—	2	1	no	—
330	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
331	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
335	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
336	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
339	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
342	C₄×D₄×C₁₃	—	2	1	no	—
343	C₄×D₄×C₁₃	—	2	1	no	—
344	C₄×D₄×C₁₃	—	2	1	no	—
345	C₄×D₄×C₁₃	—	2	1	no	—
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	D₄	1	1	yes	characteristic
363	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
364	C₄×D₄×C₁₃	D₄	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	C₁₃×#117	—	2	1	no	—
379	C₁₃×#117	—	2	1	no	—
380	C₁₃×#117	—	2	1	no	—
381	C₁₃×#117	—	2	1	no	—
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	D₄	1	1	yes	characteristic
389	C₁₃×#117	D₄	1	1	yes	characteristic
390	C₁₃×#117	D₄	1	1	yes	characteristic
391	C₁₃×#117	C₂³	1	1	yes	characteristic
392	C₁₃×#117	C₂³	1	1	yes	characteristic
393	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₁₃	—	2	1	no	—
405	C₂×C₄²×C₁₃	—	2	1	no	—
406	C₂×C₄²×C₁₃	—	2	1	no	—
407	C₂×C₄²×C₁₃	—	2	1	no	—
408	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
409	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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×#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×#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	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	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	#61445	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂⁴×C₁₃	—	2	1	no	—
484	C₁₃×#41	—	2	2	no	—
485	C₁₃×#41	—	2	2	no	—
486	C₁₃×#41	—	4	2	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	4	no	—
490	C₁₃×#41	—	8	2	no	—
491	C₂×Q₈×C₁₃	—	2	1	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	2	no	—
496	C₂×Q₈×C₁₃	—	2	2	no	—
497	C₂×Q₈×C₁₃	—	4	1	no	—
498	C₂×Q₈×C₁₃	—	4	1	no	—
499	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₃	—	2	2	no	—
505	C₂×D₄×C₁₃	—	2	2	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	—	4	1	no	—
519	C₂×D₄×C₁₃	—	4	1	no	—
520	C₂×D₄×C₁₃	—	4	4	no	—
521	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
523	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
527	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	2	1	no	—
530	C₂²×C₄×C₁₃	—	2	1	no	—
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	—	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	—	8	2	no	—
547	C₂²×C₄×C₁₃	—	8	2	no	—
548	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
554	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
557	C₁₃×Q₁₆	—	2	2	no	—
558	C₁₃×Q₁₆	—	2	2	no	—
559	C₁₃×Q₁₆	—	4	1	no	—
560	C₁₃×SD₁₆	—	2	2	no	—
561	C₁₃×SD₁₆	—	2	2	no	—
562	C₁₃×SD₁₆	—	2	2	no	—
563	C₁₃×SD₁₆	—	2	2	no	—
564	C₁₃×SD₁₆	—	2	2	no	—
565	C₁₃×SD₁₆	—	4	1	no	—
566	C₁₃×SD₁₆	—	4	1	no	—
567	C₁₃×SD₁₆	—	4	1	no	—
568	C₁₃×SD₁₆	—	4	1	no	—
569	C₁₃×SD₁₆	#41	1	4	yes	complemented
570	C₁₃×D₈	—	2	2	no	—
571	C₁₃×D₈	—	2	2	no	—
572	C₁₃×D₈	—	4	1	no	—
573	C₁₃×M₁₆	—	2	2	no	—
574	C₁₃×M₁₆	—	2	2	no	—
575	C₁₃×M₁₆	—	4	1	no	—
576	C₁₃×M₁₆	—	4	1	no	—
577	C₂×C₈×C₁₃	—	2	2	no	—
578	C₂×C₈×C₁₃	—	4	1	no	—
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	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	—	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	C₂×D₄	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
666	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₁₃	—	2	1	no	—
672	C₄²×C₁₃	—	2	1	no	—
673	C₄²×C₁₃	—	2	1	no	—
674	C₄²×C₁₃	—	2	1	no	—
675	C₄²×C₁₃	—	2	1	no	—
676	C₄²×C₁₃	—	2	1	no	—
677	C₄²×C₁₃	—	2	1	no	—
678	C₄²×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
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	#3482	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3481	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3401	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3371	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3351	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3345	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3344	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3326	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3323	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3320	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3316	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3310	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3306	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3275	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3266	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3265	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3172	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#3168	C₂×C₁₃	1	1	yes	characteristic, complemented
714	#3108	C₂×C₁₃	1	1	yes	characteristic, complemented
715	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
716	#3103	C₂×C₁₃	1	1	yes	characteristic, complemented
717	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
718	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
719	#3101	C₂×C₁₃	1	1	yes	characteristic, complemented
720	#2965	C₂×C₁₃	1	1	yes	characteristic, complemented
721	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
722	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
723	C₂×C₄×SD₁₆	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	—	4	2	no	—
729	C₂³×C₁₃	—	4	2	no	—
730	C₂³×C₁₃	—	4	2	no	—
731	C₂³×C₁₃	—	4	2	no	—
732	C₂³×C₁₃	—	8	1	no	—
733	C₂³×C₁₃	—	8	1	no	—
734	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
735	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
736	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
737	Q₈×C₁₃	—	2	1	no	—
738	Q₈×C₁₃	—	2	1	no	—
739	Q₈×C₁₃	—	2	1	no	—
740	Q₈×C₁₃	—	2	1	no	—
741	Q₈×C₁₃	—	2	1	no	—
742	Q₈×C₁₃	—	2	1	no	—
743	Q₈×C₁₃	—	2	1	no	—
744	Q₈×C₁₃	—	4	1	no	—
745	Q₈×C₁₃	—	4	2	no	—
746	Q₈×C₁₃	—	4	2	no	—
747	Q₈×C₁₃	—	4	2	no	—
748	Q₈×C₁₃	—	8	1	no	—
749	Q₈×C₁₃	C₂×#41	1	2	yes	—
750	D₄×C₁₃	—	2	2	no	—
751	D₄×C₁₃	—	2	2	no	—
752	D₄×C₁₃	—	2	1	no	—
753	D₄×C₁₃	—	2	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	—	4	1	no	—
760	D₄×C₁₃	—	4	2	no	—
761	D₄×C₁₃	—	4	2	no	—
762	D₄×C₁₃	—	4	2	no	—
763	D₄×C₁₃	—	4	2	no	—
764	D₄×C₁₃	—	4	2	no	—
765	D₄×C₁₃	—	4	2	no	—
766	D₄×C₁₃	—	4	2	no	—
767	D₄×C₁₃	—	4	2	no	—
768	D₄×C₁₃	—	4	2	no	—
769	D₄×C₁₃	—	8	1	no	—
770	D₄×C₁₃	—	8	1	no	—
771	D₄×C₁₃	—	8	1	no	—
772	D₄×C₁₃	C₂×#41	1	2	yes	—
773	C₂×C₄×C₁₃	—	2	2	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	2	no	—
776	C₂×C₄×C₁₃	—	2	2	no	—
777	C₂×C₄×C₁₃	—	2	2	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
796	C₂×C₄×C₁₃	—	4	1	no	—
797	C₂×C₄×C₁₃	—	4	2	no	—
798	C₂×C₄×C₁₃	—	4	2	no	—
799	C₂×C₄×C₁₃	—	4	2	no	—
800	C₂×C₄×C₁₃	—	4	2	no	—
801	C₂×C₄×C₁₃	—	4	2	no	—
802	C₂×C₄×C₁₃	—	4	2	no	—
803	C₂×C₄×C₁₃	—	4	2	no	—
804	C₂×C₄×C₁₃	—	4	2	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	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
827	C₈×C₁₃	—	2	1	no	—
828	C₈×C₁₃	—	2	1	no	—
829	C₈×C₁₃	—	2	1	no	—
830	C₈×C₁₃	—	2	1	no	—
831	C₈×C₁₃	—	2	1	no	—
832	C₈×C₁₃	—	2	1	no	—
833	C₈×C₁₃	—	2	1	no	—
834	C₈×C₁₃	C₂×#41	1	2	yes	—
835	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
836	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
837	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
838	#559	C₂²×C₁₃	1	1	yes	characteristic
839	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
840	#556	—	2	1	no	—
841	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
842	#554	C₂²×C₁₃	1	1	yes	characteristic
843	#554	C₂²×C₁₃	1	1	yes	characteristic
844	#553	—	2	1	no	—
845	#553	C₂²×C₁₃	1	1	yes	characteristic
846	#553	C₂²×C₁₃	1	1	yes	characteristic
847	#552	—	2	1	no	—
848	#552	—	2	1	no	—
849	#552	C₂²×C₁₃	1	1	yes	characteristic
850	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#551	—	2	1	no	—
852	#551	—	2	1	no	—
853	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#548	C₂²×C₁₃	1	1	yes	characteristic
855	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#547	—	2	1	no	—
857	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	#546	—	2	1	no	—
859	#546	C₂²×C₁₃	1	1	yes	characteristic
860	#546	C₂²×C₁₃	1	1	yes	characteristic
861	D₄²	C₂²×C₁₃	1	1	yes	characteristic
862	#533	—	2	1	no	—
863	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
864	#532	C₂²×C₁₃	1	1	yes	characteristic
865	#529	—	2	1	no	—
866	#529	—	2	1	no	—
867	#529	—	2	1	no	—
868	#529	C₂²×C₁₃	1	1	yes	characteristic
869	#529	C₂²×C₁₃	1	1	yes	characteristic
870	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#525	—	2	1	no	—
873	#525	—	2	1	no	—
874	C₄×#41	—	2	1	no	—
875	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
876	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
877	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
879	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	C₂×C₄×D₄	—	2	1	no	—
881	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
882	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
883	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#496	C₂²×C₁₃	1	1	yes	characteristic
888	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
890	#490	C₂²×C₁₃	1	1	yes	characteristic
891	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
892	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
893	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
894	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
895	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#482	C₂²×C₁₃	1	1	yes	characteristic
902	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#480	C₂²×C₁₃	1	1	yes	characteristic
907	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
908	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#478	C₂²×C₁₃	1	1	yes	characteristic
912	#478	C₂²×C₁₃	1	1	yes	characteristic
913	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
914	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#476	C₂²×C₁₃	1	1	yes	characteristic
916	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
921	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
922	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
923	#468	C₂²×C₁₃	1	1	yes	characteristic
924	#468	C₂²×C₁₃	1	1	yes	characteristic
925	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#466	C₂²×C₁₃	1	1	yes	characteristic
929	#465	C₂²×C₁₃	1	1	yes	characteristic
930	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#463	C₂²×C₁₃	1	1	yes	characteristic
936	#463	C₂²×C₁₃	1	1	yes	characteristic
937	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
939	#461	C₂²×C₁₃	1	1	yes	characteristic
940	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#460	C₂²×C₁₃	1	1	yes	characteristic
942	#460	C₂²×C₁₃	1	1	yes	characteristic
943	#452	C₂²×C₁₃	1	1	yes	characteristic
944	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
945	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
946	#450	C₂²×C₁₃	1	1	yes	characteristic
947	#450	C₂²×C₁₃	1	1	yes	characteristic
948	#450	C₂²×C₁₃	1	1	yes	characteristic
949	#449	C₂²×C₁₃	1	1	yes	characteristic
950	#449	C₂²×C₁₃	1	1	yes	characteristic
951	#448	C₂²×C₁₃	1	1	yes	characteristic
952	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#447	C₂²×C₁₃	1	1	yes	characteristic
955	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	#442	C₂²×C₁₃	1	1	yes	characteristic
958	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#440	C₂²×C₁₃	1	1	yes	characteristic
962	#440	C₂²×C₁₃	1	1	yes	characteristic
963	#440	C₂²×C₁₃	1	1	yes	characteristic
964	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
969	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
970	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
971	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
972	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
973	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
983	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
987	#435	C₂²×C₁₃	1	1	yes	characteristic
988	#435	C₂²×C₁₃	1	1	yes	characteristic
989	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
990	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
994	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
995	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
998	#418	C₂²×C₁₃	1	1	yes	characteristic
999	#417	C₂²×C₁₃	1	1	yes	characteristic
1000	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1001	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
1002	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
1003	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1004	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1005	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	2	1	no	—
1008	C₂²×C₁₃	—	2	1	no	—
1009	C₂²×C₁₃	—	2	1	no	—
1010	C₂²×C₁₃	—	2	2	no	—
1011	C₂²×C₁₃	—	2	1	no	—
1012	C₂²×C₁₃	—	2	1	no	—
1013	C₂²×C₁₃	—	2	1	no	—
1014	C₂²×C₁₃	—	2	1	no	—
1015	C₂²×C₁₃	—	4	1	no	—
1016	C₂²×C₁₃	—	4	1	no	—
1017	C₂²×C₁₃	—	4	1	no	—
1018	C₂²×C₁₃	—	4	1	no	—
1019	C₂²×C₁₃	—	4	1	no	—
1020	C₂²×C₁₃	—	4	1	no	—
1021	C₂²×C₁₃	—	4	1	no	—
1022	C₂²×C₁₃	—	4	1	no	—
1023	C₂²×C₁₃	—	4	1	no	—
1024	C₂²×C₁₃	—	4	1	no	—
1025	C₂²×C₁₃	—	4	1	no	—
1026	C₂²×C₁₃	—	8	4	no	—
1027	C₂²×C₁₃	—	8	4	no	—
1028	C₂²×C₁₃	#575	1	2	yes	—
1029	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	2	2	no	—
1034	C₄×C₁₃	—	2	1	no	—
1035	C₄×C₁₃	—	2	1	no	—
1036	C₄×C₁₃	—	2	1	no	—
1037	C₄×C₁₃	—	2	1	no	—
1038	C₄×C₁₃	—	2	1	no	—
1039	C₄×C₁₃	—	2	1	no	—
1040	C₄×C₁₃	—	2	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	C₄×C₁₃	—	4	1	no	—
1045	C₄×C₁₃	—	4	1	no	—
1046	C₄×C₁₃	—	4	1	no	—
1047	C₄×C₁₃	—	4	1	no	—
1048	C₄×C₁₃	—	4	1	no	—
1049	C₄×C₁₃	—	4	1	no	—
1050	C₄×C₁₃	—	4	1	no	—
1051	C₄×C₁₃	—	4	1	no	—
1052	C₄×C₁₃	#577	1	2	yes	—
1053	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1054	C₄×C₁₃	#585	1	1	yes	characteristic
1055	C₂×#41	—	2	1	no	—
1056	C₂×#41	—	2	1	no	—
1057	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
1058	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂²×D₄	—	2	1	no	—
1063	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂³×C₄	—	2	1	no	—
1066	C₂³×C₄	—	2	1	no	—
1067	#137	—	2	4	no	—
1068	AGL(1,ℤ/8)	—	2	4	no	—
1069	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂×SD₁₆	—	2	4	no	—
1073	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1077	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1078	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1083	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1084	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1085	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1087	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1092	C₄⋊Q₈	—	2	1	no	—
1093	C₄⋊Q₈	—	2	1	no	—
1094	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1095	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1096	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1097	#127	C₂³×C₁₃	1	1	yes	characteristic
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	2	1	no	—
1113	#125	—	2	1	no	—
1114	#125	C₂³×C₁₃	1	1	yes	characteristic
1115	#125	C₂³×C₁₃	1	1	yes	characteristic
1116	#125	C₂³×C₁₃	1	1	yes	characteristic
1117	#125	C₂³×C₁₃	1	1	yes	characteristic
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	C₂³×C₁₃	1	1	yes	characteristic
1123	#124	C₂³×C₁₃	1	1	yes	characteristic
1124	#124	C₂³×C₁₃	1	1	yes	characteristic
1125	#124	C₂³×C₁₃	1	1	yes	characteristic
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1154	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	C₂³×C₁₃	1	1	yes	characteristic
1167	#121	C₂³×C₁₃	1	1	yes	characteristic
1168	#121	C₂³×C₁₃	1	1	yes	characteristic
1169	#121	C₂³×C₁₃	1	1	yes	characteristic
1170	#121	C₂³×C₁₃	1	1	yes	characteristic
1171	#121	C₂³×C₁₃	1	1	yes	characteristic
1172	#120	—	2	1	no	—
1173	#120	—	2	1	no	—
1174	#120	—	2	1	no	—
1175	#120	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	—	2	1	no	—
1178	C₄×Q₈	—	2	1	no	—
1179	C₄×Q₈	—	2	1	no	—
1180	C₄×Q₈	—	2	1	no	—
1181	C₄×Q₈	—	2	1	no	—
1182	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1192	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1215	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1216	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1220	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1222	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1225	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1226	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	2	1	no	—
1236	#117	—	2	1	no	—
1237	#117	—	2	1	no	—
1238	#117	—	2	1	no	—
1239	#117	—	2	1	no	—
1240	#117	D₄×C₁₃	1	1	yes	characteristic
1241	#117	D₄×C₁₃	1	1	yes	characteristic
1242	#117	D₄×C₁₃	1	1	yes	characteristic
1243	#117	C₂³×C₁₃	1	1	yes	characteristic
1244	#117	C₂³×C₁₃	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	—	2	1	no	—
1246	C₂×C₄⋊C₄	—	2	1	no	—
1247	C₂×C₄⋊C₄	—	2	1	no	—
1248	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1249	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1250	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1251	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	—	2	1	no	—
1253	C₂×C₂²⋊C₄	—	2	1	no	—
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₄²	—	2	1	no	—
1257	C₂×C₄²	—	2	1	no	—
1258	C₂×C₄²	—	2	1	no	—
1259	C₂×C₄²	—	2	1	no	—
1260	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1261	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1262	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1263	#107	C₂³×C₁₃	1	1	yes	characteristic
1264	#107	C₂³×C₁₃	1	1	yes	characteristic
1265	#107	C₂³×C₁₃	1	1	yes	characteristic
1266	#107	C₂³×C₁₃	1	1	yes	characteristic
1267	#107	C₂³×C₁₃	1	1	yes	characteristic
1268	#107	C₂³×C₁₃	1	1	yes	characteristic
1269	#106	C₂³×C₁₃	1	1	yes	characteristic
1270	#106	C₂³×C₁₃	1	1	yes	characteristic
1271	#106	C₂³×C₁₃	1	1	yes	characteristic
1272	#106	C₂³×C₁₃	1	1	yes	characteristic
1273	#106	C₂³×C₁₃	1	1	yes	characteristic
1274	#106	C₂³×C₁₃	1	1	yes	characteristic
1275	#106	C₂³×C₁₃	1	1	yes	characteristic
1276	#106	C₂³×C₁₃	1	1	yes	characteristic
1277	#106	C₂³×C₁₃	1	1	yes	characteristic
1278	#106	C₂³×C₁₃	1	1	yes	characteristic
1279	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1280	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1281	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1282	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1283	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1284	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1285	#103	C₂³×C₁₃	1	1	yes	characteristic
1286	#103	C₂³×C₁₃	1	1	yes	characteristic
1287	#103	C₂³×C₁₃	1	1	yes	characteristic
1288	#103	C₂³×C₁₃	1	1	yes	characteristic
1289	#103	C₂³×C₁₃	1	1	yes	characteristic
1290	#103	C₂³×C₁₃	1	1	yes	characteristic
1291	#103	C₂³×C₁₃	1	1	yes	characteristic
1292	#103	C₂³×C₁₃	1	1	yes	characteristic
1293	#103	C₂³×C₁₃	1	1	yes	characteristic
1294	#103	C₂³×C₁₃	1	1	yes	characteristic
1295	#103	C₂³×C₁₃	1	1	yes	characteristic
1296	#103	C₂³×C₁₃	1	1	yes	characteristic
1297	#103	C₂³×C₁₃	1	1	yes	characteristic
1298	#103	C₂³×C₁₃	1	1	yes	characteristic
1299	#103	C₂³×C₁₃	1	1	yes	characteristic
1300	#103	C₂³×C₁₃	1	1	yes	characteristic
1301	#102	C₂³×C₁₃	1	1	yes	characteristic
1302	#102	C₂³×C₁₃	1	1	yes	characteristic
1303	#102	C₂³×C₁₃	1	1	yes	characteristic
1304	#102	C₂³×C₁₃	1	1	yes	characteristic
1305	#102	C₂³×C₁₃	1	1	yes	characteristic
1306	#102	C₂³×C₁₃	1	1	yes	characteristic
1307	#102	C₂³×C₁₃	1	1	yes	characteristic
1308	#102	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	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1318	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1319	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1323	#97	C₂³×C₁₃	1	1	yes	characteristic
1324	#97	C₂³×C₁₃	1	1	yes	characteristic
1325	#97	C₂³×C₁₃	1	1	yes	characteristic
1326	#97	C₂³×C₁₃	1	1	yes	characteristic
1327	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1328	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1329	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1330	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1331	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1332	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1333	C₂×C₁₃	—	2	2	no	—
1334	C₂×C₁₃	—	4	1	no	—
1335	C₂×C₁₃	—	4	1	no	—
1336	C₂×C₁₃	—	4	2	no	—
1337	C₂×C₁₃	—	8	1	no	—
1338	C₂×C₁₃	—	8	1	no	—
1339	C₂×C₁₃	—	8	1	no	—
1340	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1341	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1342	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1343	C₂⁴	—	2	1	no	—
1344	C₂⁴	—	2	1	no	—
1345	#41	—	2	2	no	—
1346	#41	—	2	2	no	—
1347	#41	—	4	2	no	—
1348	#41	—	4	1	no	—
1349	#41	—	4	1	no	—
1350	#41	—	4	4	no	—
1351	#41	—	8	2	no	—
1352	C₂×Q₈	—	2	1	no	—
1353	C₂×Q₈	—	2	1	no	—
1354	C₂×Q₈	—	2	1	no	—
1355	C₂×Q₈	—	2	1	no	—
1356	C₂×Q₈	—	2	2	no	—
1357	C₂×Q₈	—	2	2	no	—
1358	C₂×Q₈	—	4	1	no	—
1359	C₂×Q₈	—	4	1	no	—
1360	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1361	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1362	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1363	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1365	C₂×D₄	—	2	2	no	—
1366	C₂×D₄	—	2	2	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	4	1	no	—
1380	C₂×D₄	—	4	1	no	—
1381	C₂×D₄	—	4	4	no	—
1382	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1383	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1384	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1385	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1386	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1387	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1388	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	8	2	no	—
1408	C₂²×C₄	—	8	2	no	—
1409	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1410	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1411	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1412	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1413	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1414	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1415	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1416	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1417	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1418	Q₁₆	—	2	2	no	—
1419	Q₁₆	—	2	2	no	—
1420	Q₁₆	—	4	1	no	—
1421	SD₁₆	—	2	2	no	—
1422	SD₁₆	—	2	2	no	—
1423	SD₁₆	—	2	2	no	—
1424	SD₁₆	—	2	2	no	—
1425	SD₁₆	—	2	2	no	—
1426	SD₁₆	—	4	1	no	—
1427	SD₁₆	—	4	1	no	—
1428	SD₁₆	—	4	1	no	—
1429	SD₁₆	—	4	1	no	—
1430	SD₁₆	C₁₃×#41	1	4	yes	complemented
1431	D₈	—	2	2	no	—
1432	D₈	—	2	2	no	—
1433	D₈	—	4	1	no	—
1434	M₁₆	—	2	2	no	—
1435	M₁₆	—	2	2	no	—
1436	M₁₆	—	4	1	no	—
1437	M₁₆	—	4	1	no	—
1438	C₂×C₈	—	2	2	no	—
1439	C₂×C₈	—	4	1	no	—
1440	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1441	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1442	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1443	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1444	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1445	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1446	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1447	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1481	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1482	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1483	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1484	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1485	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1486	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1487	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1488	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1489	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1490	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	—	2	1	no	—
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1545	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1546	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1547	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1548	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1549	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1550	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1551	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1552	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1553	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1554	C₁₃	#61445	1	1	yes	characteristic, direct product factor, Sylow
1555	C₂³	—	2	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	—	2	1	no	—
1559	C₂³	—	4	2	no	—
1560	C₂³	—	4	2	no	—
1561	C₂³	—	4	2	no	—
1562	C₂³	—	4	2	no	—
1563	C₂³	—	8	1	no	—
1564	C₂³	—	8	1	no	—
1565	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1566	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1567	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	4	1	no	—
1576	Q₈	—	4	2	no	—
1577	Q₈	—	4	2	no	—
1578	Q₈	—	4	2	no	—
1579	Q₈	—	8	1	no	—
1580	Q₈	C₂×C₁₃×#41	1	2	yes	—
1581	D₄	—	2	2	no	—
1582	D₄	—	2	2	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	2	1	no	—
1585	D₄	—	2	1	no	—
1586	D₄	—	2	1	no	—
1587	D₄	—	2	1	no	—
1588	D₄	—	2	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	4	1	no	—
1591	D₄	—	4	2	no	—
1592	D₄	—	4	2	no	—
1593	D₄	—	4	2	no	—
1594	D₄	—	4	2	no	—
1595	D₄	—	4	2	no	—
1596	D₄	—	4	2	no	—
1597	D₄	—	4	2	no	—
1598	D₄	—	4	2	no	—
1599	D₄	—	4	2	no	—
1600	D₄	—	8	1	no	—
1601	D₄	—	8	1	no	—
1602	D₄	—	8	1	no	—
1603	D₄	C₂×C₁₃×#41	1	2	yes	—
1604	C₂×C₄	—	2	2	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	2	no	—
1607	C₂×C₄	—	2	2	no	—
1608	C₂×C₄	—	2	2	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	4	1	no	—
1627	C₂×C₄	—	4	1	no	—
1628	C₂×C₄	—	4	2	no	—
1629	C₂×C₄	—	4	2	no	—
1630	C₂×C₄	—	4	2	no	—
1631	C₂×C₄	—	4	2	no	—
1632	C₂×C₄	—	4	2	no	—
1633	C₂×C₄	—	4	2	no	—
1634	C₂×C₄	—	4	2	no	—
1635	C₂×C₄	—	4	2	no	—
1636	C₂×C₄	—	4	2	no	—
1637	C₂×C₄	—	4	2	no	—
1638	C₂×C₄	—	4	2	no	—
1639	C₂×C₄	—	4	2	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	1	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	8	1	no	—
1646	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1647	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1648	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1649	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1650	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1651	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1652	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1653	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1654	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1655	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1656	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1657	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1658	C₈	—	2	1	no	—
1659	C₈	—	2	1	no	—
1660	C₈	—	2	1	no	—
1661	C₈	—	2	1	no	—
1662	C₈	—	2	1	no	—
1663	C₈	—	2	1	no	—
1664	C₈	—	2	1	no	—
1665	C₈	C₂×C₁₃×#41	1	2	yes	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	2	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	4	1	no	—
1678	C₂²	—	4	1	no	—
1679	C₂²	—	4	1	no	—
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	8	4	no	—
1687	C₂²	—	8	4	no	—
1688	C₂²	C₁₃×#575	1	2	yes	—
1689	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	2	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	C₁₃×#577	1	2	yes	—
1713	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1714	C₄	C₁₃×#585	1	1	yes	characteristic
1715	C₂	—	2	2	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	4	2	no	—
1719	C₂	—	8	1	no	—
1720	C₂	—	8	1	no	—
1721	C₂	—	8	1	no	—
1722	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1723	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1724	C₂	C₂×C₁₃×#577	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3482	C₂	semidirect
2. C₁₃×#3481	C₂	semidirect
3. C₁₃×#3401	C₂	semidirect
4. C₁₃×#3388	C₂	semidirect
5. C₁₃×#3376	C₂	semidirect
6. C₁₃×#3371	C₂	semidirect
7. C₁₃×#3351	C₂	semidirect
8. C₁₃×#3345	C₂	semidirect
9. C₁₃×#3344	C₂	semidirect
10. C₁₃×#3326	C₂	semidirect
11. C₁₃×#3323	C₂	semidirect
12. C₁₃×#3320	C₂	semidirect
13. C₁₃×#3316	C₂	semidirect
14. C₁₃×#3310	C₂	semidirect
15. C₁₃×#3306	C₂	semidirect
16. C₁₃×#3275	C₂	semidirect
17. C₁₃×#3266	C₂	semidirect
18. C₁₃×#3265	C₂	semidirect
19. C₁₃×#3172	C₂	semidirect
20. C₁₃×#3171	C₂	semidirect
21. C₁₃×#3168	C₂	semidirect
22. C₁₃×#3108	C₂	semidirect
23. C₁₃×#3105	C₂	semidirect
24. C₁₃×#3103	C₂	semidirect
25. C₁₃×#3102	C₂	semidirect
26. C₁₃×#3102	C₂	semidirect
27. C₁₃×#3101	C₂	semidirect
28. C₁₃×#2965	C₂	semidirect
29. C₄×C₁₃×#137	C₂	semidirect
30. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
31. C₂×C₄×C₁₃×SD₁₆	C₂	semidirect
36. C₁₃×#557	C₂²	semidirect
38. C₁₃×#556	C₂²	semidirect
47. C₁₃×#552	C₂²	semidirect
50. D₄×Q₈×C₁₃	C₂²	semidirect
52. C₁₃×#548	C₂²	semidirect
54. C₁₃×#547	C₂²	semidirect
60. C₁₃×#533	C₂²	semidirect
67. C₁₃×#529	C₂²	semidirect
68. C₁₃×#529	C₂²	semidirect
74. C₄×C₁₃×#41	C₂²	semidirect
75. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
76. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
81. C₁₃×#501	C₂²	semidirect
82. C₁₃×#499	C₂²	semidirect
83. C₁₃×#497	C₂²	semidirect
85. C₁₃×#495	C₂²	semidirect
86. C₁₃×#491	C₂²	semidirect
88. C₁₃×#489	C₂²	semidirect
89. C₁₃×#489	C₂²	semidirect
90. C₁₃×#488	C₂²	semidirect
91. C₁₃×#488	C₂²	semidirect
92. C₁₃×#485	C₂²	semidirect
93. C₁₃×#485	C₂²	semidirect
94. C₁₃×#484	C₂²	semidirect
95. C₁₃×#483	C₂²	semidirect
96. C₁₃×#483	C₂²	semidirect
97. C₁₃×#483	C₂²	semidirect
99. C₁₃×#482	C₂²	semidirect
100. C₁₃×#481	C₂²	semidirect
101. C₁₃×#481	C₂²	semidirect
102. C₁₃×#481	C₂²	semidirect
104. C₁₃×#479	C₂²	semidirect
105. C₁₃×#479	C₂²	semidirect
106. C₁₃×#479	C₂²	semidirect
107. C₁₃×#479	C₂²	semidirect
110. C₁₃×#478	C₂²	semidirect
111. C₁₃×#478	C₂²	semidirect
113. C₁₃×#476	C₂²	semidirect
114. C₁₃×#475	C₂²	semidirect
115. C₁₃×#475	C₂²	semidirect
116. C₁₃×#470	C₂²	semidirect
117. C₁₃×#470	C₂²	semidirect
118. C₁₃×#469	C₂²	semidirect
119. C₁₃×#469	C₂²	semidirect
122. C₁₃×#468	C₂²	semidirect
123. C₁₃×#468	C₂²	semidirect
124. C₁₃×#467	C₂²	semidirect
127. C₁₃×#465	C₂²	semidirect
128. C₁₃×#464	C₂²	semidirect
129. C₁₃×#464	C₂²	semidirect
130. C₁₃×#464	C₂²	semidirect
131. C₁₃×#464	C₂²	semidirect
134. C₁₃×#463	C₂²	semidirect
135. C₁₃×#463	C₂²	semidirect
137. C₁₃×#461	C₂²	semidirect
141. C₁₃×#452	C₂²	semidirect
142. C₁₃×#451	C₂²	semidirect
149. C₁₃×#448	C₂²	semidirect
150. C₁₃×#448	C₂²	semidirect
152. C₁₃×#446	C₂²	semidirect
153. C₁₃×#446	C₂²	semidirect
155. C₁₃×#442	C₂²	semidirect
156. C₁₃×#441	C₂²	semidirect
157. C₁₃×#441	C₂²	semidirect
161. C₁₃×#440	C₂²	semidirect
162. C₄×C₁₃×Q₁₆	C₂²	semidirect
163. C₄×C₁₃×Q₁₆	C₂²	semidirect
164. C₄×C₁₃×Q₁₆	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
175. C₄×C₁₃×SD₁₆	C₂²	semidirect
176. C₄×C₁₃×SD₁₆	C₂²	semidirect
177. C₄×C₁₃×SD₁₆	C₂²	semidirect
178. C₄×C₁₃×SD₁₆	C₂²	semidirect
180. C₄×C₁₃×D₈	C₂²	semidirect
181. C₄×C₁₃×D₈	C₂²	semidirect
182. C₁₃×#436	C₂²	semidirect
183. C₁₃×#436	C₂²	semidirect
186. C₁₃×#435	C₂²	semidirect
187. C₁₃×#435	C₂²	semidirect
188. C₁₃×#431	C₂²	semidirect
189. C₁₃×#431	C₂²	semidirect
190. C₁₃×#431	C₂²	semidirect
191. C₁₃×#428	C₂²	semidirect
192. C₁₃×#428	C₂²	semidirect
193. C₂×C₁₃×#106	C₂²	semidirect
194. C₁₃×#419	C₂²	semidirect
197. C₁₃×#417	C₂²	semidirect
198. C₂×C₁₃×#103	C₂²	semidirect
200. C₄×C₁₃×M₁₆	C₂²	semidirect
201. C₄×C₁₃×M₁₆	C₂²	semidirect
202. C₂×C₄×C₈×C₁₃	C₂²	semidirect
481. #61445	C₁₃	direct (N × H)
569. C₁₃×SD₁₆	#41	semidirect
693. #3482	C₂×C₁₃	semidirect
694. #3481	C₂×C₁₃	semidirect
695. #3401	C₂×C₁₃	semidirect
696. #3388	C₂×C₁₃	semidirect
697. #3376	C₂×C₁₃	semidirect
698. #3371	C₂×C₁₃	semidirect
699. #3351	C₂×C₁₃	semidirect
700. #3345	C₂×C₁₃	semidirect
701. #3344	C₂×C₁₃	semidirect
702. #3326	C₂×C₁₃	semidirect
703. #3323	C₂×C₁₃	semidirect
704. #3320	C₂×C₁₃	semidirect
705. #3316	C₂×C₁₃	semidirect
706. #3310	C₂×C₁₃	semidirect
707. #3306	C₂×C₁₃	semidirect
708. #3275	C₂×C₁₃	semidirect
709. #3266	C₂×C₁₃	semidirect
710. #3265	C₂×C₁₃	semidirect
711. #3172	C₂×C₁₃	semidirect
712. #3171	C₂×C₁₃	semidirect
713. #3168	C₂×C₁₃	semidirect
714. #3108	C₂×C₁₃	semidirect
715. #3105	C₂×C₁₃	semidirect
716. #3103	C₂×C₁₃	semidirect
717. #3102	C₂×C₁₃	semidirect
718. #3102	C₂×C₁₃	semidirect
719. #3101	C₂×C₁₃	semidirect
720. #2965	C₂×C₁₃	semidirect
721. C₄×#137	C₂×C₁₃	semidirect
722. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
723. C₂×C₄×SD₁₆	C₂×C₁₃	semidirect
839. #557	C₂²×C₁₃	semidirect
841. #556	C₂²×C₁₃	semidirect
850. #552	C₂²×C₁₃	semidirect
853. D₄×Q₈	C₂²×C₁₃	semidirect
855. #548	C₂²×C₁₃	semidirect
857. #547	C₂²×C₁₃	semidirect
863. #533	C₂²×C₁₃	semidirect
870. #529	C₂²×C₁₃	semidirect
871. #529	C₂²×C₁₃	semidirect
877. C₄×#41	C₂²×C₁₃	semidirect
878. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
879. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
883. #501	C₂²×C₁₃	semidirect
884. #501	C₂²×C₁₃	semidirect
885. #499	C₂²×C₁₃	semidirect
886. #497	C₂²×C₁₃	semidirect
888. #495	C₂²×C₁₃	semidirect
889. #491	C₂²×C₁₃	semidirect
891. #489	C₂²×C₁₃	semidirect
892. #489	C₂²×C₁₃	semidirect
893. #488	C₂²×C₁₃	semidirect
894. #488	C₂²×C₁₃	semidirect
895. #485	C₂²×C₁₃	semidirect
896. #485	C₂²×C₁₃	semidirect
897. #484	C₂²×C₁₃	semidirect
898. #483	C₂²×C₁₃	semidirect
899. #483	C₂²×C₁₃	semidirect
900. #483	C₂²×C₁₃	semidirect
902. #482	C₂²×C₁₃	semidirect
903. #481	C₂²×C₁₃	semidirect
904. #481	C₂²×C₁₃	semidirect
905. #481	C₂²×C₁₃	semidirect
907. #479	C₂²×C₁₃	semidirect
908. #479	C₂²×C₁₃	semidirect
909. #479	C₂²×C₁₃	semidirect
910. #479	C₂²×C₁₃	semidirect
913. #478	C₂²×C₁₃	semidirect
914. #478	C₂²×C₁₃	semidirect
916. #476	C₂²×C₁₃	semidirect
917. #475	C₂²×C₁₃	semidirect
918. #475	C₂²×C₁₃	semidirect
919. #470	C₂²×C₁₃	semidirect
920. #470	C₂²×C₁₃	semidirect
921. #469	C₂²×C₁₃	semidirect
922. #469	C₂²×C₁₃	semidirect
925. #468	C₂²×C₁₃	semidirect
926. #468	C₂²×C₁₃	semidirect
927. #467	C₂²×C₁₃	semidirect
930. #465	C₂²×C₁₃	semidirect
931. #464	C₂²×C₁₃	semidirect
932. #464	C₂²×C₁₃	semidirect
933. #464	C₂²×C₁₃	semidirect
934. #464	C₂²×C₁₃	semidirect
937. #463	C₂²×C₁₃	semidirect
938. #463	C₂²×C₁₃	semidirect
940. #461	C₂²×C₁₃	semidirect
944. #452	C₂²×C₁₃	semidirect
945. #451	C₂²×C₁₃	semidirect
952. #448	C₂²×C₁₃	semidirect
953. #448	C₂²×C₁₃	semidirect
955. #446	C₂²×C₁₃	semidirect
956. #446	C₂²×C₁₃	semidirect
958. #442	C₂²×C₁₃	semidirect
959. #441	C₂²×C₁₃	semidirect
960. #441	C₂²×C₁₃	semidirect
964. #440	C₂²×C₁₃	semidirect
965. C₄×Q₁₆	C₂²×C₁₃	semidirect
966. C₄×Q₁₆	C₂²×C₁₃	semidirect
967. C₄×Q₁₆	C₂²×C₁₃	semidirect
973. C₄×SD₁₆	C₂²×C₁₃	semidirect
974. C₄×SD₁₆	C₂²×C₁₃	semidirect
975. C₄×SD₁₆	C₂²×C₁₃	semidirect
976. C₄×SD₁₆	C₂²×C₁₃	semidirect
977. C₄×SD₁₆	C₂²×C₁₃	semidirect
978. C₄×SD₁₆	C₂²×C₁₃	semidirect
979. C₄×SD₁₆	C₂²×C₁₃	semidirect
980. C₄×SD₁₆	C₂²×C₁₃	semidirect
981. C₄×SD₁₆	C₂²×C₁₃	semidirect
983. C₄×D₈	C₂²×C₁₃	semidirect
984. C₄×D₈	C₂²×C₁₃	semidirect
985. #436	C₂²×C₁₃	semidirect
986. #436	C₂²×C₁₃	semidirect
989. #435	C₂²×C₁₃	semidirect
990. #435	C₂²×C₁₃	semidirect
991. #431	C₂²×C₁₃	semidirect
992. #431	C₂²×C₁₃	semidirect
993. #431	C₂²×C₁₃	semidirect
994. #428	C₂²×C₁₃	semidirect
995. #428	C₂²×C₁₃	semidirect
996. C₂×#106	C₂²×C₁₃	semidirect
997. #419	C₂²×C₁₃	semidirect
1000. #417	C₂²×C₁₃	semidirect
1001. C₂×#103	C₂²×C₁₃	semidirect
1003. C₄×M₁₆	C₂²×C₁₃	semidirect
1004. C₄×M₁₆	C₂²×C₁₃	semidirect
1005. C₂×C₄×C₈	C₂²×C₁₃	semidirect
1430. SD₁₆	C₁₃×#41	semidirect
1554. C₁₃	#61445	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×#3482	2
C₁₃×#3481	2
C₁₃×#3401	2
C₁₃×#3388	2
C₁₃×#3376	2
C₁₃×#3371	2
C₁₃×#3351	2
C₁₃×#3345	2
C₁₃×#3344	2
C₁₃×#3326	2
C₁₃×#3323	2
C₁₃×#3320	2
C₁₃×#3316	2
C₁₃×#3310	2
C₁₃×#3306	2
C₁₃×#3275	2
C₁₃×#3266	2
C₁₃×#3265	2
C₁₃×#3172	2
C₁₃×#3171	2
C₁₃×#3168	2
C₁₃×#3108	2
C₁₃×#3105	2
C₁₃×#3103	2
C₁₃×#3102	2
C₁₃×#3101	2
C₁₃×#2965	2
C₄×C₁₃×#137	2
C₄×C₁₃×AGL(1,ℤ/8)	2
C₂×C₄×C₁₃×SD₁₆	2
#61445	13

Subgroups — C13×#61445 #15747784

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61445 #15747784