Subgroups — C₁₃×#61164 #15747503

Order 3328.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3326	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3320	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3307	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3142	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3092	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3080	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3036	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2896	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	C₂²	1	2	yes	—
36	C₁₃×#553	C₂²	1	2	yes	complemented
37	C₁₃×#553	C₂²	1	2	yes	complemented
38	C₁₃×#553	C₂²	1	2	yes	complemented
39	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#547	—	2	1	no	—
44	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#546	—	2	1	no	—
46	C₁₃×#546	—	2	1	no	—
47	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
49	D₄²×C₁₃	—	2	1	no	—
50	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#532	—	2	1	no	—
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#126	—	2	1	no	—
54	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#525	—	2	1	no	—
56	C₁₃×#525	—	2	1	no	—
57	C₁₃×#525	C₂²	1	1	yes	characteristic
58	C₁₃×#525	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#123	—	2	1	no	—
60	C₂×C₁₃×#121	—	2	1	no	—
61	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₁₃	—	2	1	no	—
65	C₂×C₄×D₄×C₁₃	—	2	1	no	—
66	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#491	C₂²	1	2	yes	complemented
71	C₁₃×#490	C₂²	1	2	yes	complemented
72	C₁₃×#488	C₂²	1	2	yes	complemented
73	C₁₃×#488	C₂²	1	2	yes	complemented
74	C₁₃×#485	C₂²	1	2	yes	complemented
75	C₁₃×#485	C₂²	1	2	yes	complemented
76	C₁₃×#484	C₂²	1	2	yes	complemented
77	C₁₃×#483	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#482	C₂²	1	2	yes	complemented
80	C₁₃×#481	C₂²	1	2	yes	complemented
81	C₁₃×#480	C₂²	1	2	yes	complemented
82	C₁₃×#479	C₂²	1	2	yes	complemented
83	C₁₃×#479	C₂²	1	2	yes	complemented
84	C₁₃×#478	C₂²	1	2	yes	complemented
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#469	C₂²	1	2	yes	complemented
87	C₁₃×#469	C₂²	1	2	yes	complemented
88	C₁₃×#468	C₂²	1	2	yes	complemented
89	C₁₃×#468	C₂²	1	2	yes	complemented
90	C₁₃×#466	C₂²	1	2	yes	complemented
91	C₁₃×#466	C₂²	1	2	yes	complemented
92	C₁₃×#465	C₂²	1	2	yes	complemented
93	C₁₃×#465	C₂²	1	2	yes	complemented
94	C₁₃×#463	C₂²	1	2	yes	complemented
95	C₁₃×#463	C₂²	1	2	yes	complemented
96	C₁₃×#461	C₂²	1	2	yes	complemented
97	C₁₃×#459	C₂²	1	2	yes	complemented
98	C₁₃×#449	C₂²	1	2	yes	complemented
99	C₁₃×#449	C₂²	1	2	yes	complemented
100	C₁₃×#449	C₂²	1	2	yes	complemented
101	C₁₃×#449	C₂²	1	2	yes	complemented
102	C₁₃×#448	C₂²	1	2	yes	complemented
103	C₁₃×#448	C₂²	1	2	yes	complemented
104	C₁₃×#447	C₂²	1	2	yes	complemented
105	C₁₃×#447	C₂²	1	2	yes	complemented
106	C₁₃×#442	C₂²	1	2	yes	complemented
107	C₁₃×#440	C₂²	1	2	yes	complemented
108	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
109	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
110	C₁₃×#436	C₂²	1	2	yes	complemented
111	C₁₃×#435	C₂²	1	2	yes	complemented
112	C₁₃×#435	C₂²	1	2	yes	complemented
113	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
114	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#419	C₂²	1	2	yes	complemented
119	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#418	C₂²	1	2	yes	complemented
121	C₁₃×#417	C₂²	1	1	yes	characteristic
122	C₁₃×#417	C₂²	1	1	yes	characteristic
123	C₁₃×#417	C₂²	1	1	yes	characteristic
124	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#417	C₂²	1	2	yes	complemented
129	C₁₃×#417	C₂²	1	2	yes	complemented
130	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#416	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	—	2	1	no	—
143	C₂×C₁₃×#41	—	2	4	no	—
144	C₂×C₁₃×#41	—	2	4	no	—
145	C₂×C₁₃×#41	—	4	2	no	—
146	C₂×C₁₃×#41	—	4	2	no	—
147	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
154	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
156	C₂²×D₄×C₁₃	—	2	1	no	—
157	C₂²×D₄×C₁₃	—	2	1	no	—
158	C₂²×D₄×C₁₃	—	2	1	no	—
159	C₂²×D₄×C₁₃	—	2	1	no	—
160	C₂²×D₄×C₁₃	—	2	1	no	—
161	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
162	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₁₃	—	2	1	no	—
166	C₂³×C₄×C₁₃	—	2	1	no	—
167	C₂³×C₄×C₁₃	—	2	1	no	—
168	C₂³×C₄×C₁₃	—	2	1	no	—
169	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
171	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
172	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
173	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
174	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
175	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
176	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
177	C₂×C₁₃×D₈	C₂³	1	2	yes	—
178	C₂×C₁₃×D₈	C₂³	1	2	yes	—
179	C₂×C₁₃×D₈	C₂³	1	2	yes	—
180	C₂×C₁₃×M₁₆	—	4	2	no	—
181	C₂×C₁₃×M₁₆	—	4	2	no	—
182	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
183	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
184	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
185	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
186	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
187	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
188	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
189	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
190	C₁₃×C₄⋊Q₈	—	2	1	no	—
191	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
192	C₁₃×#127	—	2	1	no	—
193	C₁₃×#127	C₂³	1	1	yes	characteristic
194	C₁₃×#126	—	2	2	no	—
195	C₁₃×#126	—	2	2	no	—
196	C₁₃×#126	—	2	2	no	—
197	C₁₃×#126	—	2	2	no	—
198	C₁₃×#125	—	2	1	no	—
199	C₁₃×#125	—	2	1	no	—
200	C₁₃×#125	C₂³	1	2	yes	—
201	C₁₃×#125	C₂³	1	2	yes	—
202	C₁₃×#124	—	2	1	no	—
203	C₁₃×#124	—	2	1	no	—
204	C₁₃×#124	C₂³	1	1	yes	characteristic
205	C₁₃×#124	C₂³	1	1	yes	characteristic
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	1	no	—
209	C₁₃×#123	—	2	1	no	—
210	C₁₃×#123	—	2	2	no	—
211	C₁₃×#123	—	2	2	no	—
212	C₁₃×#123	—	2	2	no	—
213	C₁₃×#123	—	2	2	no	—
214	C₁₃×#123	—	2	1	no	—
215	C₁₃×#123	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	1	no	—
218	C₁₃×C₂²⋊Q₈	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	—	2	1	no	—
238	C₁₃×#121	—	2	1	no	—
239	C₁₃×#121	—	2	1	no	—
240	C₁₃×#121	—	2	1	no	—
241	C₁₃×#121	—	2	1	no	—
242	C₁₃×#121	C₂³	1	2	yes	—
243	C₁₃×#121	C₂³	1	2	yes	—
244	C₁₃×#121	C₂³	1	2	yes	—
245	C₁₃×#121	C₂³	1	2	yes	—
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#120	—	2	1	no	—
251	C₁₃×#120	—	2	1	no	—
252	C₁₃×#120	—	2	1	no	—
253	C₁₃×#120	—	2	1	no	—
254	C₁₃×#120	—	2	1	no	—
255	C₁₃×#120	—	2	1	no	—
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	2	no	—
269	C₄×D₄×C₁₃	—	2	2	no	—
270	C₄×D₄×C₁₃	—	2	2	no	—
271	C₄×D₄×C₁₃	—	2	2	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	—	2	1	no	—
275	C₄×D₄×C₁₃	—	2	1	no	—
276	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
277	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
278	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
279	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	2	yes	—
282	C₄×D₄×C₁₃	C₂³	1	2	yes	—
283	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	C₂³	1	2	yes	—
292	C₁₃×#117	C₂³	1	2	yes	—
293	C₁₃×#117	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
297	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
301	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
302	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
306	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
311	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
312	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
313	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
314	C₂×C₄²×C₁₃	—	2	1	no	—
315	C₂×C₄²×C₁₃	—	2	1	no	—
316	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
317	C₁₃×#107	C₂³	1	2	yes	—
318	C₁₃×#107	C₂³	1	2	yes	—
319	C₁₃×#107	C₂³	1	2	yes	—
320	C₁₃×#106	C₂³	1	2	yes	—
321	C₁₃×#106	C₂³	1	2	yes	—
322	C₁₃×#106	C₂³	1	2	yes	—
323	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
324	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	C₂³	1	2	yes	—
330	C₁₃×#103	C₂³	1	2	yes	—
331	C₁₃×#103	C₂³	1	2	yes	—
332	C₁₃×#103	C₂³	1	2	yes	—
333	C₁₃×#103	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×#102	C₂³	1	2	yes	—
339	C₁₃×#102	C₂³	1	2	yes	—
340	C₁₃×#102	C₂³	1	2	yes	—
341	C₁₃×#102	C₂³	1	2	yes	—
342	C₁₃×#102	C₂³	1	2	yes	—
343	C₁₃×#102	C₂³	1	2	yes	—
344	C₁₃×#102	C₂³	1	2	yes	—
345	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
346	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
347	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
348	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
349	C₁₃×#97	C₂³	1	2	yes	—
350	C₄×C₈×C₁₃	C₂³	1	2	yes	—
351	#61164	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
352	C₂⁴×C₁₃	—	2	1	no	—
353	C₂⁴×C₁₃	—	2	1	no	—
354	C₂⁴×C₁₃	—	2	1	no	—
355	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₁₃×#41	—	2	2	no	—
358	C₁₃×#41	—	2	2	no	—
359	C₁₃×#41	—	2	2	no	—
360	C₁₃×#41	—	2	2	no	—
361	C₁₃×#41	—	2	2	no	—
362	C₁₃×#41	—	2	2	no	—
363	C₁₃×#41	—	2	2	no	—
364	C₁₃×#41	—	2	2	no	—
365	C₁₃×#41	—	2	2	no	—
366	C₁₃×#41	—	4	4	no	—
367	C₁₃×#41	—	4	4	no	—
368	C₁₃×#41	—	4	1	no	—
369	C₁₃×#41	—	4	1	no	—
370	C₁₃×#41	—	4	1	no	—
371	C₁₃×#41	—	4	1	no	—
372	C₁₃×#41	—	4	4	no	—
373	C₁₃×#41	—	4	4	no	—
374	C₁₃×#41	#41	1	4	yes	—
375	C₂×Q₈×C₁₃	—	2	1	no	—
376	C₂×Q₈×C₁₃	—	2	1	no	—
377	C₂×Q₈×C₁₃	—	2	2	no	—
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	4	1	no	—
380	C₂×Q₈×C₁₃	—	4	1	no	—
381	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×D₄×C₁₃	—	2	1	no	—
385	C₂×D₄×C₁₃	—	2	2	no	—
386	C₂×D₄×C₁₃	—	2	2	no	—
387	C₂×D₄×C₁₃	—	2	1	no	—
388	C₂×D₄×C₁₃	—	2	1	no	—
389	C₂×D₄×C₁₃	—	2	2	no	—
390	C₂×D₄×C₁₃	—	2	2	no	—
391	C₂×D₄×C₁₃	—	2	1	no	—
392	C₂×D₄×C₁₃	—	2	1	no	—
393	C₂×D₄×C₁₃	—	2	1	no	—
394	C₂×D₄×C₁₃	—	2	1	no	—
395	C₂×D₄×C₁₃	—	2	1	no	—
396	C₂×D₄×C₁₃	—	2	1	no	—
397	C₂×D₄×C₁₃	—	2	1	no	—
398	C₂×D₄×C₁₃	—	2	1	no	—
399	C₂×D₄×C₁₃	—	2	2	no	—
400	C₂×D₄×C₁₃	—	2	2	no	—
401	C₂×D₄×C₁₃	—	2	1	no	—
402	C₂×D₄×C₁₃	—	2	1	no	—
403	C₂×D₄×C₁₃	—	2	1	no	—
404	C₂×D₄×C₁₃	—	2	1	no	—
405	C₂×D₄×C₁₃	—	2	1	no	—
406	C₂×D₄×C₁₃	—	2	2	no	—
407	C₂×D₄×C₁₃	—	2	2	no	—
408	C₂×D₄×C₁₃	—	4	1	no	—
409	C₂×D₄×C₁₃	—	4	1	no	—
410	C₂×D₄×C₁₃	—	4	2	no	—
411	C₂×D₄×C₁₃	—	4	4	no	—
412	C₂×D₄×C₁₃	—	4	4	no	—
413	C₂×D₄×C₁₃	—	4	4	no	—
414	C₂×D₄×C₁₃	—	4	4	no	—
415	C₂×D₄×C₁₃	—	8	2	no	—
416	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
417	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
418	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
419	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
420	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
423	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₁₃	—	2	1	no	—
425	C₂²×C₄×C₁₃	—	2	2	no	—
426	C₂²×C₄×C₁₃	—	2	2	no	—
427	C₂²×C₄×C₁₃	—	2	2	no	—
428	C₂²×C₄×C₁₃	—	2	2	no	—
429	C₂²×C₄×C₁₃	—	2	1	no	—
430	C₂²×C₄×C₁₃	—	2	1	no	—
431	C₂²×C₄×C₁₃	—	2	1	no	—
432	C₂²×C₄×C₁₃	—	2	1	no	—
433	C₂²×C₄×C₁₃	—	2	1	no	—
434	C₂²×C₄×C₁₃	—	2	2	no	—
435	C₂²×C₄×C₁₃	—	2	2	no	—
436	C₂²×C₄×C₁₃	—	2	1	no	—
437	C₂²×C₄×C₁₃	—	2	1	no	—
438	C₂²×C₄×C₁₃	—	2	1	no	—
439	C₂²×C₄×C₁₃	—	2	1	no	—
440	C₂²×C₄×C₁₃	—	2	1	no	—
441	C₂²×C₄×C₁₃	—	2	1	no	—
442	C₂²×C₄×C₁₃	—	2	1	no	—
443	C₂²×C₄×C₁₃	—	2	1	no	—
444	C₂²×C₄×C₁₃	—	2	2	no	—
445	C₂²×C₄×C₁₃	—	2	2	no	—
446	C₂²×C₄×C₁₃	—	4	4	no	—
447	C₂²×C₄×C₁₃	—	4	4	no	—
448	C₂²×C₄×C₁₃	—	8	2	no	—
449	C₂²×C₄×C₁₃	—	8	2	no	—
450	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
451	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
452	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
454	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
455	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
456	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
457	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
458	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
463	C₁₃×SD₁₆	—	2	4	no	—
464	C₁₃×SD₁₆	—	4	2	no	—
465	C₁₃×SD₁₆	—	4	2	no	—
466	C₁₃×D₈	—	2	4	no	—
467	C₁₃×D₈	—	4	2	no	—
468	C₁₃×D₈	—	4	2	no	—
469	C₁₃×M₁₆	—	2	2	no	—
470	C₁₃×M₁₆	—	2	2	no	—
471	C₁₃×M₁₆	—	2	2	no	—
472	C₁₃×M₁₆	—	2	2	no	—
473	C₁₃×M₁₆	—	4	2	no	—
474	C₁₃×M₁₆	—	4	2	no	—
475	C₂×C₈×C₁₃	—	4	2	no	—
476	C₂×C₈×C₁₃	—	4	2	no	—
477	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
478	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
479	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
480	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
481	C₁₃×C₄⋊C₄	—	2	1	no	—
482	C₁₃×C₄⋊C₄	—	2	1	no	—
483	C₁₃×C₄⋊C₄	—	2	2	no	—
484	C₁₃×C₄⋊C₄	—	2	2	no	—
485	C₁₃×C₄⋊C₄	—	2	1	no	—
486	C₁₃×C₄⋊C₄	—	2	1	no	—
487	C₁₃×C₄⋊C₄	—	2	1	no	—
488	C₁₃×C₄⋊C₄	—	2	2	no	—
489	C₁₃×C₄⋊C₄	—	2	2	no	—
490	C₁₃×C₄⋊C₄	—	2	2	no	—
491	C₁₃×C₄⋊C₄	—	2	2	no	—
492	C₁₃×C₄⋊C₄	—	2	1	no	—
493	C₁₃×C₄⋊C₄	—	2	1	no	—
494	C₁₃×C₄⋊C₄	—	2	1	no	—
495	C₁₃×C₄⋊C₄	—	2	1	no	—
496	C₁₃×C₄⋊C₄	—	2	1	no	—
497	C₁₃×C₄⋊C₄	—	2	1	no	—
498	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
499	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
500	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
501	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
502	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
503	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
504	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
505	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
506	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
507	C₁₃×C₂²⋊C₄	—	2	2	no	—
508	C₁₃×C₂²⋊C₄	—	2	2	no	—
509	C₁₃×C₂²⋊C₄	—	2	1	no	—
510	C₁₃×C₂²⋊C₄	—	2	1	no	—
511	C₁₃×C₂²⋊C₄	—	2	1	no	—
512	C₁₃×C₂²⋊C₄	—	2	1	no	—
513	C₁₃×C₂²⋊C₄	—	2	1	no	—
514	C₁₃×C₂²⋊C₄	—	2	1	no	—
515	C₁₃×C₂²⋊C₄	—	2	1	no	—
516	C₁₃×C₂²⋊C₄	—	2	1	no	—
517	C₁₃×C₂²⋊C₄	—	2	1	no	—
518	C₁₃×C₂²⋊C₄	—	2	2	no	—
519	C₁₃×C₂²⋊C₄	—	2	2	no	—
520	C₁₃×C₂²⋊C₄	—	2	2	no	—
521	C₁₃×C₂²⋊C₄	—	2	2	no	—
522	C₁₃×C₂²⋊C₄	—	2	2	no	—
523	C₁₃×C₂²⋊C₄	—	2	2	no	—
524	C₁₃×C₂²⋊C₄	—	2	1	no	—
525	C₁₃×C₂²⋊C₄	—	2	1	no	—
526	C₁₃×C₂²⋊C₄	—	2	1	no	—
527	C₁₃×C₂²⋊C₄	—	2	1	no	—
528	C₁₃×C₂²⋊C₄	—	2	1	no	—
529	C₁₃×C₂²⋊C₄	—	2	1	no	—
530	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
531	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
532	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
533	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
534	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
535	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
536	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
537	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
538	C₄²×C₁₃	—	2	1	no	—
539	C₄²×C₁₃	—	2	2	no	—
540	C₄²×C₁₃	—	2	2	no	—
541	C₄²×C₁₃	—	2	1	no	—
542	C₄²×C₁₃	—	2	1	no	—
543	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
544	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
545	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×#553	C₂×C₁₃	1	1	yes	characteristic, complemented
548	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3326	C₂×C₁₃	1	2	yes	complemented
550	#3322	C₂×C₁₃	1	2	yes	complemented
551	#3320	C₂×C₁₃	1	2	yes	complemented
552	#3318	C₂×C₁₃	1	2	yes	complemented
553	#3309	C₂×C₁₃	1	2	yes	complemented
554	#3307	C₂×C₁₃	1	2	yes	complemented
555	#3301	C₂×C₁₃	1	2	yes	complemented
556	#3297	C₂×C₁₃	1	2	yes	complemented
557	#3142	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#3093	C₂×C₁₃	1	1	yes	characteristic, complemented
559	#3092	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#3080	C₂×C₁₃	1	1	yes	characteristic, complemented
561	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
562	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
563	#3036	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
566	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
567	D₄×M₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#2896	C₂×C₁₃	1	1	yes	characteristic, complemented
569	C₂×#417	C₂×C₁₃	1	1	yes	characteristic, complemented
570	C₂³×C₁₃	—	2	2	no	—
571	C₂³×C₁₃	—	2	2	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	2	2	no	—
574	C₂³×C₁₃	—	2	2	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	—	2	1	no	—
577	C₂³×C₁₃	—	4	1	no	—
578	C₂³×C₁₃	—	4	1	no	—
579	C₂³×C₁₃	—	4	1	no	—
580	C₂³×C₁₃	—	4	2	no	—
581	C₂³×C₁₃	—	4	2	no	—
582	C₂³×C₁₃	—	4	2	no	—
583	C₂³×C₁₃	—	4	2	no	—
584	C₂³×C₁₃	—	4	2	no	—
585	C₂³×C₁₃	—	4	2	no	—
586	C₂³×C₁₃	—	4	2	no	—
587	C₂³×C₁₃	—	8	1	no	—
588	C₂³×C₁₃	—	8	1	no	—
589	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
590	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
591	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
592	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
593	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
594	Q₈×C₁₃	—	2	1	no	—
595	Q₈×C₁₃	—	2	1	no	—
596	Q₈×C₁₃	—	2	1	no	—
597	Q₈×C₁₃	—	2	1	no	—
598	Q₈×C₁₃	—	2	1	no	—
599	Q₈×C₁₃	—	4	2	no	—
600	Q₈×C₁₃	—	4	2	no	—
601	Q₈×C₁₃	C₂×#41	1	2	yes	—
602	D₄×C₁₃	—	2	4	no	—
603	D₄×C₁₃	—	2	2	no	—
604	D₄×C₁₃	—	2	2	no	—
605	D₄×C₁₃	—	2	2	no	—
606	D₄×C₁₃	—	2	1	no	—
607	D₄×C₁₃	—	2	1	no	—
608	D₄×C₁₃	—	2	1	no	—
609	D₄×C₁₃	—	2	2	no	—
610	D₄×C₁₃	—	2	1	no	—
611	D₄×C₁₃	—	2	1	no	—
612	D₄×C₁₃	—	4	1	no	—
613	D₄×C₁₃	—	4	1	no	—
614	D₄×C₁₃	—	4	2	no	—
615	D₄×C₁₃	—	4	2	no	—
616	D₄×C₁₃	—	4	2	no	—
617	D₄×C₁₃	—	4	2	no	—
618	D₄×C₁₃	—	4	2	no	—
619	D₄×C₁₃	—	4	2	no	—
620	D₄×C₁₃	—	4	2	no	—
621	D₄×C₁₃	—	4	2	no	—
622	D₄×C₁₃	—	4	4	no	—
623	D₄×C₁₃	—	4	2	no	—
624	D₄×C₁₃	—	4	2	no	—
625	D₄×C₁₃	—	4	2	no	—
626	D₄×C₁₃	—	4	4	no	—
627	D₄×C₁₃	—	4	2	no	—
628	D₄×C₁₃	—	8	1	no	—
629	D₄×C₁₃	—	8	1	no	—
630	D₄×C₁₃	—	8	1	no	—
631	D₄×C₁₃	—	8	2	no	—
632	D₄×C₁₃	—	8	2	no	—
633	D₄×C₁₃	C₂×#41	1	2	yes	—
634	C₂×C₄×C₁₃	—	2	2	no	—
635	C₂×C₄×C₁₃	—	2	2	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	2	no	—
638	C₂×C₄×C₁₃	—	2	2	no	—
639	C₂×C₄×C₁₃	—	2	2	no	—
640	C₂×C₄×C₁₃	—	2	2	no	—
641	C₂×C₄×C₁₃	—	2	4	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	2	no	—
653	C₂×C₄×C₁₃	—	2	2	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	2	no	—
657	C₂×C₄×C₁₃	—	4	1	no	—
658	C₂×C₄×C₁₃	—	4	1	no	—
659	C₂×C₄×C₁₃	—	4	2	no	—
660	C₂×C₄×C₁₃	—	4	2	no	—
661	C₂×C₄×C₁₃	—	4	2	no	—
662	C₂×C₄×C₁₃	—	4	2	no	—
663	C₂×C₄×C₁₃	—	4	2	no	—
664	C₂×C₄×C₁₃	—	4	2	no	—
665	C₂×C₄×C₁₃	—	4	2	no	—
666	C₂×C₄×C₁₃	—	4	2	no	—
667	C₂×C₄×C₁₃	—	4	2	no	—
668	C₂×C₄×C₁₃	—	4	2	no	—
669	C₂×C₄×C₁₃	—	4	2	no	—
670	C₂×C₄×C₁₃	—	4	2	no	—
671	C₂×C₄×C₁₃	—	8	1	no	—
672	C₂×C₄×C₁₃	—	8	2	no	—
673	C₂×C₄×C₁₃	—	8	2	no	—
674	C₂×C₄×C₁₃	—	8	2	no	—
675	C₂×C₄×C₁₃	—	8	2	no	—
676	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
677	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
678	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
679	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
680	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
681	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
682	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
683	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
684	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
685	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
686	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
687	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
688	C₈×C₁₃	—	2	2	no	—
689	C₈×C₁₃	—	2	2	no	—
690	C₈×C₁₃	—	2	2	no	—
691	C₈×C₁₃	—	2	2	no	—
692	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
693	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
694	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
695	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
696	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
698	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	#553	—	2	1	no	—
700	#553	—	2	1	no	—
701	#553	—	2	1	no	—
702	#553	—	2	1	no	—
703	#553	C₂²×C₁₃	1	2	yes	—
704	#553	C₂²×C₁₃	1	2	yes	complemented
705	#553	C₂²×C₁₃	1	2	yes	complemented
706	#553	C₂²×C₁₃	1	2	yes	complemented
707	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
709	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	#547	—	2	1	no	—
712	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#546	—	2	1	no	—
714	#546	—	2	1	no	—
715	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	D₄²	—	2	1	no	—
718	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	#532	—	2	1	no	—
720	#532	C₂²×C₁₃	1	1	yes	characteristic
721	C₂×#126	—	2	1	no	—
722	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#525	—	2	1	no	—
724	#525	—	2	1	no	—
725	#525	C₂²×C₁₃	1	1	yes	characteristic
726	#525	C₂²×C₁₃	1	1	yes	characteristic
727	C₂×#123	—	2	1	no	—
728	C₂×#121	—	2	1	no	—
729	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
730	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
731	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
732	C₂×C₄×D₄	—	2	1	no	—
733	C₂×C₄×D₄	—	2	1	no	—
734	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
735	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#491	C₂²×C₁₃	1	2	yes	complemented
739	#490	C₂²×C₁₃	1	2	yes	complemented
740	#488	C₂²×C₁₃	1	2	yes	complemented
741	#488	C₂²×C₁₃	1	2	yes	complemented
742	#485	C₂²×C₁₃	1	2	yes	complemented
743	#485	C₂²×C₁₃	1	2	yes	complemented
744	#484	C₂²×C₁₃	1	2	yes	complemented
745	#483	C₂²×C₁₃	1	2	yes	complemented
746	#482	C₂²×C₁₃	1	2	yes	complemented
747	#482	C₂²×C₁₃	1	2	yes	complemented
748	#481	C₂²×C₁₃	1	2	yes	complemented
749	#480	C₂²×C₁₃	1	2	yes	complemented
750	#479	C₂²×C₁₃	1	2	yes	complemented
751	#479	C₂²×C₁₃	1	2	yes	complemented
752	#478	C₂²×C₁₃	1	2	yes	complemented
753	#478	C₂²×C₁₃	1	2	yes	complemented
754	#469	C₂²×C₁₃	1	2	yes	complemented
755	#469	C₂²×C₁₃	1	2	yes	complemented
756	#468	C₂²×C₁₃	1	2	yes	complemented
757	#468	C₂²×C₁₃	1	2	yes	complemented
758	#466	C₂²×C₁₃	1	2	yes	complemented
759	#466	C₂²×C₁₃	1	2	yes	complemented
760	#465	C₂²×C₁₃	1	2	yes	complemented
761	#465	C₂²×C₁₃	1	2	yes	complemented
762	#463	C₂²×C₁₃	1	2	yes	complemented
763	#463	C₂²×C₁₃	1	2	yes	complemented
764	#461	C₂²×C₁₃	1	2	yes	complemented
765	#459	C₂²×C₁₃	1	2	yes	complemented
766	#449	C₂²×C₁₃	1	2	yes	complemented
767	#449	C₂²×C₁₃	1	2	yes	complemented
768	#449	C₂²×C₁₃	1	2	yes	complemented
769	#449	C₂²×C₁₃	1	2	yes	complemented
770	#448	C₂²×C₁₃	1	2	yes	complemented
771	#448	C₂²×C₁₃	1	2	yes	complemented
772	#447	C₂²×C₁₃	1	2	yes	complemented
773	#447	C₂²×C₁₃	1	2	yes	complemented
774	#442	C₂²×C₁₃	1	2	yes	complemented
775	#440	C₂²×C₁₃	1	2	yes	complemented
776	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
777	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
778	#436	C₂²×C₁₃	1	2	yes	complemented
779	#435	C₂²×C₁₃	1	2	yes	complemented
780	#435	C₂²×C₁₃	1	2	yes	complemented
781	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
782	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
786	#419	C₂²×C₁₃	1	2	yes	complemented
787	#418	C₂²×C₁₃	1	2	yes	complemented
788	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
789	#417	C₂²×C₁₃	1	1	yes	characteristic
790	#417	C₂²×C₁₃	1	1	yes	characteristic
791	#417	C₂²×C₁₃	1	1	yes	characteristic
792	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
793	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
795	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
797	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
798	#417	C₂²×C₁₃	1	2	yes	complemented
799	#417	C₂²×C₁₃	1	2	yes	complemented
800	#416	C₂²×C₁₃	1	2	yes	complemented
801	#416	C₂²×C₁₃	1	2	yes	complemented
802	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
803	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
804	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
805	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
806	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
807	C₂²×C₁₃	—	2	1	no	—
808	C₂²×C₁₃	—	2	1	no	—
809	C₂²×C₁₃	—	2	1	no	—
810	C₂²×C₁₃	—	2	1	no	—
811	C₂²×C₁₃	—	2	1	no	—
812	C₂²×C₁₃	—	2	1	no	—
813	C₂²×C₁₃	—	2	1	no	—
814	C₂²×C₁₃	—	2	1	no	—
815	C₂²×C₁₃	—	2	1	no	—
816	C₂²×C₁₃	—	2	1	no	—
817	C₂²×C₁₃	—	2	2	no	—
818	C₂²×C₁₃	—	2	1	no	—
819	C₂²×C₁₃	—	2	1	no	—
820	C₂²×C₁₃	—	2	1	no	—
821	C₂²×C₁₃	—	4	4	no	—
822	C₂²×C₁₃	—	4	1	no	—
823	C₂²×C₁₃	—	4	1	no	—
824	C₂²×C₁₃	—	4	2	no	—
825	C₂²×C₁₃	—	4	1	no	—
826	C₂²×C₁₃	—	4	1	no	—
827	C₂²×C₁₃	—	4	1	no	—
828	C₂²×C₁₃	—	4	1	no	—
829	C₂²×C₁₃	—	4	2	no	—
830	C₂²×C₁₃	—	4	1	no	—
831	C₂²×C₁₃	—	4	1	no	—
832	C₂²×C₁₃	—	4	2	no	—
833	C₂²×C₁₃	—	8	2	no	—
834	C₂²×C₁₃	—	8	4	no	—
835	C₂²×C₁₃	—	8	4	no	—
836	C₂²×C₁₃	—	8	4	no	—
837	C₂²×C₁₃	#546	1	2	yes	—
838	C₂²×C₁₃	#575	1	2	yes	—
839	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
840	C₄×C₁₃	—	2	1	no	—
841	C₄×C₁₃	—	2	1	no	—
842	C₄×C₁₃	—	2	1	no	—
843	C₄×C₁₃	—	2	1	no	—
844	C₄×C₁₃	—	2	1	no	—
845	C₄×C₁₃	—	2	1	no	—
846	C₄×C₁₃	—	2	2	no	—
847	C₄×C₁₃	—	2	1	no	—
848	C₄×C₁₃	—	2	1	no	—
849	C₄×C₁₃	—	4	2	no	—
850	C₄×C₁₃	—	4	2	no	—
851	C₄×C₁₃	—	4	1	no	—
852	C₄×C₁₃	—	4	1	no	—
853	C₄×C₁₃	—	4	1	no	—
854	C₄×C₁₃	—	4	1	no	—
855	C₄×C₁₃	—	4	2	no	—
856	C₄×C₁₃	#546	1	2	yes	—
857	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
858	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
859	C₂×#41	—	2	1	no	—
860	C₂×#41	—	2	1	no	—
861	C₂×#41	—	2	1	no	—
862	C₂×#41	—	2	1	no	—
863	C₂×#41	—	2	4	no	—
864	C₂×#41	—	2	4	no	—
865	C₂×#41	—	4	2	no	—
866	C₂×#41	—	4	2	no	—
867	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
868	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
869	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
870	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
871	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
872	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
873	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
874	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₂²×D₄	—	2	1	no	—
877	C₂²×D₄	—	2	1	no	—
878	C₂²×D₄	—	2	1	no	—
879	C₂²×D₄	—	2	1	no	—
880	C₂²×D₄	—	2	1	no	—
881	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
882	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
883	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
884	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
885	C₂³×C₄	—	2	1	no	—
886	C₂³×C₄	—	2	1	no	—
887	C₂³×C₄	—	2	1	no	—
888	C₂³×C₄	—	2	1	no	—
889	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
890	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
891	AGL(1,ℤ/8)	—	2	4	no	—
892	AGL(1,ℤ/8)	—	4	2	no	—
893	AGL(1,ℤ/8)	—	4	2	no	—
894	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
895	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
896	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
897	C₂×D₈	C₂³×C₁₃	1	2	yes	—
898	C₂×D₈	C₂³×C₁₃	1	2	yes	—
899	C₂×D₈	C₂³×C₁₃	1	2	yes	—
900	C₂×M₁₆	—	4	2	no	—
901	C₂×M₁₆	—	4	2	no	—
902	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
903	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
904	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
905	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
906	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
907	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
908	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
909	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
910	C₄⋊Q₈	—	2	1	no	—
911	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
912	#127	—	2	1	no	—
913	#127	C₂³×C₁₃	1	1	yes	characteristic
914	#126	—	2	2	no	—
915	#126	—	2	2	no	—
916	#126	—	2	2	no	—
917	#126	—	2	2	no	—
918	#125	—	2	1	no	—
919	#125	—	2	1	no	—
920	#125	C₂³×C₁₃	1	2	yes	—
921	#125	C₂³×C₁₃	1	2	yes	—
922	#124	—	2	1	no	—
923	#124	—	2	1	no	—
924	#124	C₂³×C₁₃	1	1	yes	characteristic
925	#124	C₂³×C₁₃	1	1	yes	characteristic
926	#123	—	2	1	no	—
927	#123	—	2	1	no	—
928	#123	—	2	1	no	—
929	#123	—	2	1	no	—
930	#123	—	2	2	no	—
931	#123	—	2	2	no	—
932	#123	—	2	2	no	—
933	#123	—	2	2	no	—
934	#123	—	2	1	no	—
935	#123	—	2	1	no	—
936	C₂²⋊Q₈	—	2	1	no	—
937	C₂²⋊Q₈	—	2	1	no	—
938	C₂²⋊Q₈	—	2	1	no	—
939	C₂²⋊Q₈	—	2	1	no	—
940	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
941	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
942	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
943	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
944	#121	—	2	2	no	—
945	#121	—	2	2	no	—
946	#121	—	2	2	no	—
947	#121	—	2	2	no	—
948	#121	—	2	1	no	—
949	#121	—	2	1	no	—
950	#121	—	2	1	no	—
951	#121	—	2	1	no	—
952	#121	—	2	1	no	—
953	#121	—	2	1	no	—
954	#121	—	2	1	no	—
955	#121	—	2	1	no	—
956	#121	—	2	1	no	—
957	#121	—	2	1	no	—
958	#121	—	2	1	no	—
959	#121	—	2	1	no	—
960	#121	—	2	1	no	—
961	#121	—	2	1	no	—
962	#121	C₂³×C₁₃	1	2	yes	—
963	#121	C₂³×C₁₃	1	2	yes	—
964	#121	C₂³×C₁₃	1	2	yes	—
965	#121	C₂³×C₁₃	1	2	yes	—
966	#121	C₂³×C₁₃	1	1	yes	characteristic
967	#121	C₂³×C₁₃	1	1	yes	characteristic
968	#121	C₂³×C₁₃	1	1	yes	characteristic
969	#121	C₂³×C₁₃	1	1	yes	characteristic
970	#120	—	2	1	no	—
971	#120	—	2	1	no	—
972	#120	—	2	1	no	—
973	#120	—	2	1	no	—
974	#120	—	2	1	no	—
975	#120	—	2	1	no	—
976	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
977	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
978	C₄×D₄	—	2	1	no	—
979	C₄×D₄	—	2	1	no	—
980	C₄×D₄	—	2	1	no	—
981	C₄×D₄	—	2	1	no	—
982	C₄×D₄	—	2	1	no	—
983	C₄×D₄	—	2	1	no	—
984	C₄×D₄	—	2	1	no	—
985	C₄×D₄	—	2	1	no	—
986	C₄×D₄	—	2	1	no	—
987	C₄×D₄	—	2	1	no	—
988	C₄×D₄	—	2	2	no	—
989	C₄×D₄	—	2	2	no	—
990	C₄×D₄	—	2	2	no	—
991	C₄×D₄	—	2	2	no	—
992	C₄×D₄	—	2	1	no	—
993	C₄×D₄	—	2	1	no	—
994	C₄×D₄	—	2	1	no	—
995	C₄×D₄	—	2	1	no	—
996	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
997	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
998	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
999	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1000	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1001	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1002	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1003	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1004	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1005	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1006	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1007	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1008	#117	—	2	1	no	—
1009	#117	—	2	1	no	—
1010	#117	—	2	1	no	—
1011	#117	C₂³×C₁₃	1	2	yes	—
1012	#117	C₂³×C₁₃	1	2	yes	—
1013	#117	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	—	2	1	no	—
1015	C₂×C₄⋊C₄	—	2	1	no	—
1016	C₂×C₄⋊C₄	—	2	1	no	—
1017	C₂×C₄⋊C₄	—	2	1	no	—
1018	C₂×C₄⋊C₄	—	2	1	no	—
1019	C₂×C₄⋊C₄	—	2	1	no	—
1020	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1024	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1025	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	—	2	1	no	—
1027	C₂×C₂²⋊C₄	—	2	1	no	—
1028	C₂×C₂²⋊C₄	—	2	1	no	—
1029	C₂×C₂²⋊C₄	—	2	1	no	—
1030	C₂×C₂²⋊C₄	—	2	1	no	—
1031	C₂×C₂²⋊C₄	—	2	1	no	—
1032	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1034	C₂×C₄²	—	2	1	no	—
1035	C₂×C₄²	—	2	1	no	—
1036	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1037	#107	C₂³×C₁₃	1	2	yes	—
1038	#107	C₂³×C₁₃	1	2	yes	—
1039	#107	C₂³×C₁₃	1	2	yes	—
1040	#106	C₂³×C₁₃	1	2	yes	—
1041	#106	C₂³×C₁₃	1	2	yes	—
1042	#106	C₂³×C₁₃	1	2	yes	—
1043	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1044	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1045	#103	C₂³×C₁₃	1	2	yes	—
1046	#103	C₂³×C₁₃	1	2	yes	—
1047	#103	C₂³×C₁₃	1	2	yes	—
1048	#103	C₂³×C₁₃	1	2	yes	—
1049	#103	C₂³×C₁₃	1	2	yes	—
1050	#103	C₂³×C₁₃	1	2	yes	—
1051	#103	C₂³×C₁₃	1	2	yes	—
1052	#103	C₂³×C₁₃	1	2	yes	—
1053	#103	C₂³×C₁₃	1	2	yes	—
1054	#102	C₂³×C₁₃	1	2	yes	—
1055	#102	C₂³×C₁₃	1	2	yes	—
1056	#102	C₂³×C₁₃	1	2	yes	—
1057	#102	C₂³×C₁₃	1	2	yes	—
1058	#102	C₂³×C₁₃	1	2	yes	—
1059	#102	C₂³×C₁₃	1	2	yes	—
1060	#102	C₂³×C₁₃	1	2	yes	—
1061	#102	C₂³×C₁₃	1	2	yes	—
1062	#102	C₂³×C₁₃	1	2	yes	—
1063	#102	C₂³×C₁₃	1	2	yes	—
1064	#102	C₂³×C₁₃	1	2	yes	—
1065	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1066	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1067	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1068	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1069	#97	C₂³×C₁₃	1	2	yes	—
1070	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1071	C₂×C₁₃	—	2	2	no	—
1072	C₂×C₁₃	—	2	2	no	—
1073	C₂×C₁₃	—	4	1	no	—
1074	C₂×C₁₃	—	4	1	no	—
1075	C₂×C₁₃	—	4	1	no	—
1076	C₂×C₁₃	—	4	2	no	—
1077	C₂×C₁₃	—	8	2	no	—
1078	C₂×C₁₃	—	8	1	no	—
1079	C₂×C₁₃	—	8	1	no	—
1080	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1081	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1082	C₂×C₁₃	#3585	1	1	yes	characteristic
1083	C₂⁴	—	2	1	no	—
1084	C₂⁴	—	2	1	no	—
1085	C₂⁴	—	2	1	no	—
1086	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1087	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1088	#41	—	2	2	no	—
1089	#41	—	2	2	no	—
1090	#41	—	2	2	no	—
1091	#41	—	2	2	no	—
1092	#41	—	2	2	no	—
1093	#41	—	2	2	no	—
1094	#41	—	2	2	no	—
1095	#41	—	2	2	no	—
1096	#41	—	2	2	no	—
1097	#41	—	4	4	no	—
1098	#41	—	4	4	no	—
1099	#41	—	4	1	no	—
1100	#41	—	4	1	no	—
1101	#41	—	4	1	no	—
1102	#41	—	4	1	no	—
1103	#41	—	4	4	no	—
1104	#41	—	4	4	no	—
1105	#41	C₁₃×#41	1	4	yes	—
1106	C₂×Q₈	—	2	1	no	—
1107	C₂×Q₈	—	2	1	no	—
1108	C₂×Q₈	—	2	2	no	—
1109	C₂×Q₈	—	2	2	no	—
1110	C₂×Q₈	—	4	1	no	—
1111	C₂×Q₈	—	4	1	no	—
1112	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1113	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1114	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1115	C₂×D₄	—	2	1	no	—
1116	C₂×D₄	—	2	2	no	—
1117	C₂×D₄	—	2	2	no	—
1118	C₂×D₄	—	2	1	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	2	2	no	—
1121	C₂×D₄	—	2	2	no	—
1122	C₂×D₄	—	2	1	no	—
1123	C₂×D₄	—	2	1	no	—
1124	C₂×D₄	—	2	1	no	—
1125	C₂×D₄	—	2	1	no	—
1126	C₂×D₄	—	2	1	no	—
1127	C₂×D₄	—	2	1	no	—
1128	C₂×D₄	—	2	1	no	—
1129	C₂×D₄	—	2	1	no	—
1130	C₂×D₄	—	2	2	no	—
1131	C₂×D₄	—	2	2	no	—
1132	C₂×D₄	—	2	1	no	—
1133	C₂×D₄	—	2	1	no	—
1134	C₂×D₄	—	2	1	no	—
1135	C₂×D₄	—	2	1	no	—
1136	C₂×D₄	—	2	1	no	—
1137	C₂×D₄	—	2	2	no	—
1138	C₂×D₄	—	2	2	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	1	no	—
1141	C₂×D₄	—	4	2	no	—
1142	C₂×D₄	—	4	4	no	—
1143	C₂×D₄	—	4	4	no	—
1144	C₂×D₄	—	4	4	no	—
1145	C₂×D₄	—	4	4	no	—
1146	C₂×D₄	—	8	2	no	—
1147	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1148	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1149	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1150	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1151	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1152	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1153	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1154	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1155	C₂²×C₄	—	2	1	no	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	2	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	1	no	—
1161	C₂²×C₄	—	2	1	no	—
1162	C₂²×C₄	—	2	1	no	—
1163	C₂²×C₄	—	2	1	no	—
1164	C₂²×C₄	—	2	1	no	—
1165	C₂²×C₄	—	2	2	no	—
1166	C₂²×C₄	—	2	2	no	—
1167	C₂²×C₄	—	2	1	no	—
1168	C₂²×C₄	—	2	1	no	—
1169	C₂²×C₄	—	2	1	no	—
1170	C₂²×C₄	—	2	1	no	—
1171	C₂²×C₄	—	2	1	no	—
1172	C₂²×C₄	—	2	1	no	—
1173	C₂²×C₄	—	2	1	no	—
1174	C₂²×C₄	—	2	1	no	—
1175	C₂²×C₄	—	2	2	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	4	4	no	—
1178	C₂²×C₄	—	4	4	no	—
1179	C₂²×C₄	—	8	2	no	—
1180	C₂²×C₄	—	8	2	no	—
1181	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1194	SD₁₆	—	2	4	no	—
1195	SD₁₆	—	4	2	no	—
1196	SD₁₆	—	4	2	no	—
1197	D₈	—	2	4	no	—
1198	D₈	—	4	2	no	—
1199	D₈	—	4	2	no	—
1200	M₁₆	—	2	2	no	—
1201	M₁₆	—	2	2	no	—
1202	M₁₆	—	2	2	no	—
1203	M₁₆	—	2	2	no	—
1204	M₁₆	—	4	2	no	—
1205	M₁₆	—	4	2	no	—
1206	C₂×C₈	—	4	2	no	—
1207	C₂×C₈	—	4	2	no	—
1208	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1209	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1210	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1211	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1212	C₄⋊C₄	—	2	1	no	—
1213	C₄⋊C₄	—	2	1	no	—
1214	C₄⋊C₄	—	2	2	no	—
1215	C₄⋊C₄	—	2	2	no	—
1216	C₄⋊C₄	—	2	1	no	—
1217	C₄⋊C₄	—	2	1	no	—
1218	C₄⋊C₄	—	2	1	no	—
1219	C₄⋊C₄	—	2	2	no	—
1220	C₄⋊C₄	—	2	2	no	—
1221	C₄⋊C₄	—	2	2	no	—
1222	C₄⋊C₄	—	2	2	no	—
1223	C₄⋊C₄	—	2	1	no	—
1224	C₄⋊C₄	—	2	1	no	—
1225	C₄⋊C₄	—	2	1	no	—
1226	C₄⋊C₄	—	2	1	no	—
1227	C₄⋊C₄	—	2	1	no	—
1228	C₄⋊C₄	—	2	1	no	—
1229	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1230	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1231	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1232	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1233	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1234	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1235	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1236	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1237	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	1	no	—
1241	C₂²⋊C₄	—	2	1	no	—
1242	C₂²⋊C₄	—	2	1	no	—
1243	C₂²⋊C₄	—	2	1	no	—
1244	C₂²⋊C₄	—	2	1	no	—
1245	C₂²⋊C₄	—	2	1	no	—
1246	C₂²⋊C₄	—	2	1	no	—
1247	C₂²⋊C₄	—	2	1	no	—
1248	C₂²⋊C₄	—	2	1	no	—
1249	C₂²⋊C₄	—	2	2	no	—
1250	C₂²⋊C₄	—	2	2	no	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	1	no	—
1256	C₂²⋊C₄	—	2	1	no	—
1257	C₂²⋊C₄	—	2	1	no	—
1258	C₂²⋊C₄	—	2	1	no	—
1259	C₂²⋊C₄	—	2	1	no	—
1260	C₂²⋊C₄	—	2	1	no	—
1261	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1262	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1263	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1264	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1265	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1266	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1267	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1268	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1269	C₄²	—	2	1	no	—
1270	C₄²	—	2	2	no	—
1271	C₄²	—	2	2	no	—
1272	C₄²	—	2	1	no	—
1273	C₄²	—	2	1	no	—
1274	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1275	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1276	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1277	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1278	C₁₃	#61164	1	1	yes	characteristic, direct product factor, Sylow
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	2	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	4	1	no	—
1287	C₂³	—	4	1	no	—
1288	C₂³	—	4	1	no	—
1289	C₂³	—	4	2	no	—
1290	C₂³	—	4	2	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	4	2	no	—
1293	C₂³	—	4	2	no	—
1294	C₂³	—	4	2	no	—
1295	C₂³	—	4	2	no	—
1296	C₂³	—	8	1	no	—
1297	C₂³	—	8	1	no	—
1298	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1299	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1300	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1301	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1302	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1303	Q₈	—	2	1	no	—
1304	Q₈	—	2	1	no	—
1305	Q₈	—	2	1	no	—
1306	Q₈	—	2	1	no	—
1307	Q₈	—	2	1	no	—
1308	Q₈	—	4	2	no	—
1309	Q₈	—	4	2	no	—
1310	Q₈	C₂×C₁₃×#41	1	2	yes	—
1311	D₄	—	2	4	no	—
1312	D₄	—	2	2	no	—
1313	D₄	—	2	2	no	—
1314	D₄	—	2	2	no	—
1315	D₄	—	2	1	no	—
1316	D₄	—	2	1	no	—
1317	D₄	—	2	1	no	—
1318	D₄	—	2	2	no	—
1319	D₄	—	2	1	no	—
1320	D₄	—	2	1	no	—
1321	D₄	—	4	1	no	—
1322	D₄	—	4	1	no	—
1323	D₄	—	4	2	no	—
1324	D₄	—	4	2	no	—
1325	D₄	—	4	2	no	—
1326	D₄	—	4	2	no	—
1327	D₄	—	4	2	no	—
1328	D₄	—	4	2	no	—
1329	D₄	—	4	2	no	—
1330	D₄	—	4	2	no	—
1331	D₄	—	4	4	no	—
1332	D₄	—	4	2	no	—
1333	D₄	—	4	2	no	—
1334	D₄	—	4	2	no	—
1335	D₄	—	4	4	no	—
1336	D₄	—	4	2	no	—
1337	D₄	—	8	1	no	—
1338	D₄	—	8	2	no	—
1339	D₄	—	8	2	no	—
1340	D₄	—	8	1	no	—
1341	D₄	—	8	1	no	—
1342	D₄	C₂×C₁₃×#41	1	2	yes	—
1343	C₂×C₄	—	2	2	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	2	no	—
1347	C₂×C₄	—	2	2	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	4	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	2	no	—
1362	C₂×C₄	—	2	2	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	2	no	—
1366	C₂×C₄	—	4	1	no	—
1367	C₂×C₄	—	4	1	no	—
1368	C₂×C₄	—	4	2	no	—
1369	C₂×C₄	—	4	2	no	—
1370	C₂×C₄	—	4	2	no	—
1371	C₂×C₄	—	4	2	no	—
1372	C₂×C₄	—	4	2	no	—
1373	C₂×C₄	—	4	2	no	—
1374	C₂×C₄	—	4	2	no	—
1375	C₂×C₄	—	4	2	no	—
1376	C₂×C₄	—	4	2	no	—
1377	C₂×C₄	—	4	2	no	—
1378	C₂×C₄	—	4	2	no	—
1379	C₂×C₄	—	4	2	no	—
1380	C₂×C₄	—	8	2	no	—
1381	C₂×C₄	—	8	2	no	—
1382	C₂×C₄	—	8	1	no	—
1383	C₂×C₄	—	8	2	no	—
1384	C₂×C₄	—	8	2	no	—
1385	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1386	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1387	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1388	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1389	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1390	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1391	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1392	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1393	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1394	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1395	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1396	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1397	C₈	—	2	2	no	—
1398	C₈	—	2	2	no	—
1399	C₈	—	2	2	no	—
1400	C₈	—	2	2	no	—
1401	C₂²	—	2	1	no	—
1402	C₂²	—	2	1	no	—
1403	C₂²	—	2	1	no	—
1404	C₂²	—	2	1	no	—
1405	C₂²	—	2	1	no	—
1406	C₂²	—	2	1	no	—
1407	C₂²	—	2	1	no	—
1408	C₂²	—	2	1	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	1	no	—
1411	C₂²	—	2	1	no	—
1412	C₂²	—	2	1	no	—
1413	C₂²	—	2	1	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	4	4	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	2	no	—
1421	C₂²	—	4	2	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	2	no	—
1427	C₂²	—	8	2	no	—
1428	C₂²	—	8	4	no	—
1429	C₂²	—	8	4	no	—
1430	C₂²	—	8	4	no	—
1431	C₂²	C₁₃×#546	1	2	yes	—
1432	C₂²	C₁₃×#575	1	2	yes	—
1433	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1434	C₄	—	2	1	no	—
1435	C₄	—	2	1	no	—
1436	C₄	—	2	1	no	—
1437	C₄	—	2	1	no	—
1438	C₄	—	2	1	no	—
1439	C₄	—	2	1	no	—
1440	C₄	—	2	1	no	—
1441	C₄	—	2	1	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	2	no	—
1445	C₄	—	4	2	no	—
1446	C₄	—	4	2	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	C₁₃×#546	1	2	yes	—
1451	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1452	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂	—	2	2	no	—
1454	C₂	—	2	2	no	—
1455	C₂	—	4	1	no	—
1456	C₂	—	4	1	no	—
1457	C₂	—	4	1	no	—
1458	C₂	—	4	2	no	—
1459	C₂	—	8	2	no	—
1460	C₂	—	8	1	no	—
1461	C₂	—	8	1	no	—
1462	C₂	C₂×C₁₃×#546	1	1	yes	characteristic
1463	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1464	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 ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#553	C₂	semidirect
2. D₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#3326	C₂	semidirect
4. C₁₃×#3322	C₂	semidirect
5. C₁₃×#3320	C₂	semidirect
6. C₁₃×#3318	C₂	semidirect
7. C₁₃×#3309	C₂	semidirect
8. C₁₃×#3307	C₂	semidirect
9. C₁₃×#3301	C₂	semidirect
10. C₁₃×#3297	C₂	semidirect
11. C₁₃×#3142	C₂	semidirect
12. C₁₃×#3093	C₂	semidirect
13. C₁₃×#3092	C₂	semidirect
14. C₁₃×#3080	C₂	semidirect
15. C₁₃×#3055	C₂	semidirect
16. C₁₃×#3055	C₂	semidirect
17. C₁₃×#3036	C₂	semidirect
18. C₁₃×#3006	C₂	semidirect
19. C₁₃×#3006	C₂	semidirect
20. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
21. D₄×C₁₃×M₁₆	C₂	semidirect
22. C₁₃×#2896	C₂	semidirect
23. C₂×C₁₃×#417	C₂	semidirect
27. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
28. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
29. C₂²×C₁₃×M₁₆	C₂²	semidirect
30. C₂²×C₁₃×M₁₆	C₂²	semidirect
36. C₁₃×#553	C₂²	semidirect
37. C₁₃×#553	C₂²	semidirect
38. C₁₃×#553	C₂²	semidirect
39. C₁₃×#550	C₂²	semidirect
40. D₄×Q₈×C₁₃	C₂²	semidirect
41. C₁₃×#548	C₂²	semidirect
42. C₁₃×#548	C₂²	semidirect
44. C₁₃×#547	C₂²	semidirect
47. C₁₃×#546	C₂²	semidirect
48. C₁₃×#546	C₂²	semidirect
50. D₄²×C₁₃	C₂²	semidirect
54. C₂×C₁₃×#125	C₂²	semidirect
61. C₂×C₁₃×#121	C₂²	semidirect
62. C₂×C₁₃×#121	C₂²	semidirect
67. C₂×C₄×D₄×C₁₃	C₂²	semidirect
68. C₂×C₁₃×#117	C₂²	semidirect
69. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
70. C₁₃×#491	C₂²	semidirect
71. C₁₃×#490	C₂²	semidirect
72. C₁₃×#488	C₂²	semidirect
73. C₁₃×#488	C₂²	semidirect
74. C₁₃×#485	C₂²	semidirect
75. C₁₃×#485	C₂²	semidirect
76. C₁₃×#484	C₂²	semidirect
77. C₁₃×#483	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#482	C₂²	semidirect
80. C₁₃×#481	C₂²	semidirect
81. C₁₃×#480	C₂²	semidirect
82. C₁₃×#479	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#469	C₂²	semidirect
87. C₁₃×#469	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#466	C₂²	semidirect
91. C₁₃×#466	C₂²	semidirect
92. C₁₃×#465	C₂²	semidirect
93. C₁₃×#465	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₁₃×#463	C₂²	semidirect
96. C₁₃×#461	C₂²	semidirect
97. C₁₃×#459	C₂²	semidirect
98. C₁₃×#449	C₂²	semidirect
99. C₁₃×#449	C₂²	semidirect
100. C₁₃×#449	C₂²	semidirect
101. C₁₃×#449	C₂²	semidirect
102. C₁₃×#448	C₂²	semidirect
103. C₁₃×#448	C₂²	semidirect
104. C₁₃×#447	C₂²	semidirect
105. C₁₃×#447	C₂²	semidirect
106. C₁₃×#442	C₂²	semidirect
107. C₁₃×#440	C₂²	semidirect
108. C₄×C₁₃×SD₁₆	C₂²	semidirect
109. C₄×C₁₃×D₈	C₂²	semidirect
110. C₁₃×#436	C₂²	semidirect
111. C₁₃×#435	C₂²	semidirect
112. C₁₃×#435	C₂²	semidirect
113. C₈×D₄×C₁₃	C₂²	semidirect
114. C₁₃×#428	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
117. C₁₃×#423	C₂²	semidirect
118. C₁₃×#419	C₂²	semidirect
119. C₁₃×#418	C₂²	semidirect
120. C₁₃×#418	C₂²	semidirect
124. C₁₃×#417	C₂²	semidirect
125. C₁₃×#417	C₂²	semidirect
126. C₁₃×#417	C₂²	semidirect
127. C₁₃×#417	C₂²	semidirect
128. C₁₃×#417	C₂²	semidirect
129. C₁₃×#417	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₁₃×#417	C₂²	semidirect
132. C₁₃×#416	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
134. C₂×C₁₃×#103	C₂²	semidirect
135. C₂×C₁₃×#102	C₂²	semidirect
136. C₁₃×#407	C₂²	semidirect
137. C₁₃×#407	C₂²	semidirect
138. C₄×C₁₃×M₁₆	C₂²	semidirect
351. #61164	C₁₃	direct (N × H)
547. C₂×#553	C₂×C₁₃	semidirect
548. D₄×#41	C₂×C₁₃	semidirect
549. #3326	C₂×C₁₃	semidirect
550. #3322	C₂×C₁₃	semidirect
551. #3320	C₂×C₁₃	semidirect
552. #3318	C₂×C₁₃	semidirect
553. #3309	C₂×C₁₃	semidirect
554. #3307	C₂×C₁₃	semidirect
555. #3301	C₂×C₁₃	semidirect
556. #3297	C₂×C₁₃	semidirect
557. #3142	C₂×C₁₃	semidirect
558. #3093	C₂×C₁₃	semidirect
559. #3092	C₂×C₁₃	semidirect
560. #3080	C₂×C₁₃	semidirect
561. #3055	C₂×C₁₃	semidirect
562. #3055	C₂×C₁₃	semidirect
563. #3036	C₂×C₁₃	semidirect
564. #3006	C₂×C₁₃	semidirect
565. #3006	C₂×C₁₃	semidirect
566. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
567. D₄×M₁₆	C₂×C₁₃	semidirect
568. #2896	C₂×C₁₃	semidirect
569. C₂×#417	C₂×C₁₃	semidirect
695. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
696. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
697. C₂²×M₁₆	C₂²×C₁₃	semidirect
698. C₂²×M₁₆	C₂²×C₁₃	semidirect
704. #553	C₂²×C₁₃	semidirect
705. #553	C₂²×C₁₃	semidirect
706. #553	C₂²×C₁₃	semidirect
707. #550	C₂²×C₁₃	semidirect
708. D₄×Q₈	C₂²×C₁₃	semidirect
709. #548	C₂²×C₁₃	semidirect
710. #548	C₂²×C₁₃	semidirect
712. #547	C₂²×C₁₃	semidirect
715. #546	C₂²×C₁₃	semidirect
716. #546	C₂²×C₁₃	semidirect
718. D₄²	C₂²×C₁₃	semidirect
722. C₂×#125	C₂²×C₁₃	semidirect
729. C₂×#121	C₂²×C₁₃	semidirect
730. C₂×#121	C₂²×C₁₃	semidirect
735. C₂×C₄×D₄	C₂²×C₁₃	semidirect
736. C₂×#117	C₂²×C₁₃	semidirect
737. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
738. #491	C₂²×C₁₃	semidirect
739. #490	C₂²×C₁₃	semidirect
740. #488	C₂²×C₁₃	semidirect
741. #488	C₂²×C₁₃	semidirect
742. #485	C₂²×C₁₃	semidirect
743. #485	C₂²×C₁₃	semidirect
744. #484	C₂²×C₁₃	semidirect
745. #483	C₂²×C₁₃	semidirect
746. #482	C₂²×C₁₃	semidirect
747. #482	C₂²×C₁₃	semidirect
748. #481	C₂²×C₁₃	semidirect
749. #480	C₂²×C₁₃	semidirect
750. #479	C₂²×C₁₃	semidirect
751. #479	C₂²×C₁₃	semidirect
752. #478	C₂²×C₁₃	semidirect
753. #478	C₂²×C₁₃	semidirect
754. #469	C₂²×C₁₃	semidirect
755. #469	C₂²×C₁₃	semidirect
756. #468	C₂²×C₁₃	semidirect
757. #468	C₂²×C₁₃	semidirect
758. #466	C₂²×C₁₃	semidirect
759. #466	C₂²×C₁₃	semidirect
760. #465	C₂²×C₁₃	semidirect
761. #465	C₂²×C₁₃	semidirect
762. #463	C₂²×C₁₃	semidirect
763. #463	C₂²×C₁₃	semidirect
764. #461	C₂²×C₁₃	semidirect
765. #459	C₂²×C₁₃	semidirect
766. #449	C₂²×C₁₃	semidirect
767. #449	C₂²×C₁₃	semidirect
768. #449	C₂²×C₁₃	semidirect
769. #449	C₂²×C₁₃	semidirect
770. #448	C₂²×C₁₃	semidirect
771. #448	C₂²×C₁₃	semidirect
772. #447	C₂²×C₁₃	semidirect
773. #447	C₂²×C₁₃	semidirect
774. #442	C₂²×C₁₃	semidirect
775. #440	C₂²×C₁₃	semidirect
776. C₄×SD₁₆	C₂²×C₁₃	semidirect
777. C₄×D₈	C₂²×C₁₃	semidirect
778. #436	C₂²×C₁₃	semidirect
779. #435	C₂²×C₁₃	semidirect
780. #435	C₂²×C₁₃	semidirect
781. C₈×D₄	C₂²×C₁₃	semidirect
782. #428	C₂²×C₁₃	semidirect
783. #428	C₂²×C₁₃	semidirect
784. #428	C₂²×C₁₃	semidirect
785. #423	C₂²×C₁₃	semidirect
786. #419	C₂²×C₁₃	semidirect
787. #418	C₂²×C₁₃	semidirect
788. #418	C₂²×C₁₃	semidirect
792. #417	C₂²×C₁₃	semidirect
793. #417	C₂²×C₁₃	semidirect
794. #417	C₂²×C₁₃	semidirect
795. #417	C₂²×C₁₃	semidirect
796. #417	C₂²×C₁₃	semidirect
797. #417	C₂²×C₁₃	semidirect
798. #417	C₂²×C₁₃	semidirect
799. #417	C₂²×C₁₃	semidirect
800. #416	C₂²×C₁₃	semidirect
801. #416	C₂²×C₁₃	semidirect
802. C₂×#103	C₂²×C₁₃	semidirect
803. C₂×#102	C₂²×C₁₃	semidirect
804. #407	C₂²×C₁₃	semidirect
805. #407	C₂²×C₁₃	semidirect
806. C₄×M₁₆	C₂²×C₁₃	semidirect
1278. C₁₃	#61164	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₃×#553	2
D₄×C₁₃×#41	2
C₁₃×#3326	2
C₁₃×#3322	2
C₁₃×#3320	2
C₁₃×#3318	2
C₁₃×#3309	2
C₁₃×#3307	2
C₁₃×#3301	2
C₁₃×#3297	2
C₁₃×#3142	2
C₁₃×#3093	2
C₁₃×#3092	2
C₁₃×#3080	2
C₁₃×#3055	2
C₁₃×#3036	2
C₁₃×#3006	2
C₄×C₁₃×AGL(1,ℤ/8)	2
D₄×C₁₃×M₁₆	2
C₁₃×#2896	2
C₂×C₁₃×#417	2
#61164	13

Subgroups — C13×#61164 #15747503

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61164 #15747503