Subgroups — C₁₃×#61156 #15747495

Order 3328.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3323	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3140	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3095	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3094	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3003	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×#418	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
29	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
30	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#551	—	2	1	no	—
40	C₁₃×#551	—	2	1	no	—
41	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#546	—	2	1	no	—
43	C₁₃×#546	—	2	1	no	—
44	C₁₃×#546	—	2	1	no	—
45	C₁₃×#546	—	2	1	no	—
46	C₁₃×#546	—	2	1	no	—
47	C₁₃×#546	C₂²	1	2	yes	—
48	C₁₃×#546	C₂²	1	2	yes	—
49	C₁₃×#546	C₂²	1	2	yes	—
50	C₁₃×#546	C₂²	1	2	yes	—
51	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	—	2	1	no	—
54	C₁₃×#529	—	2	1	no	—
55	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
56	C₁₃×#525	C₂²	1	1	yes	characteristic
57	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₁₃×#123	—	2	1	no	—
59	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#121	—	2	1	no	—
61	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×#120	—	2	1	no	—
63	C₄×C₁₃×#41	—	2	1	no	—
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
66	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
68	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₁₃×C₂²⋊C₄	—	2	1	no	—
70	C₁₃×#489	C₂²	1	2	yes	complemented
71	C₁₃×#489	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×#478	C₂²	1	2	yes	complemented
83	C₁₃×#478	C₂²	1	2	yes	complemented
84	C₁₃×#476	C₂²	1	2	yes	complemented
85	C₁₃×#474	C₂²	1	2	yes	complemented
86	C₁₃×#470	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×#467	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×#464	C₂²	1	2	yes	complemented
95	C₁₃×#464	C₂²	1	2	yes	complemented
96	C₁₃×#463	C₂²	1	2	yes	complemented
97	C₁₃×#463	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	complemented
99	C₁₃×#452	C₂²	1	2	yes	complemented
100	C₁₃×#450	C₂²	1	2	yes	complemented
101	C₁₃×#450	C₂²	1	2	yes	complemented
102	C₁₃×#449	C₂²	1	2	yes	complemented
103	C₁₃×#449	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	1	yes	characteristic, complemented
119	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#418	C₂²	1	1	yes	characteristic
122	C₁₃×#418	C₂²	1	1	yes	characteristic
123	C₁₃×#418	C₂²	1	1	yes	characteristic
124	C₁₃×#418	C₂²	1	1	yes	characteristic
125	C₁₃×#418	C₂²	1	1	yes	characteristic
126	C₁₃×#418	C₂²	1	1	yes	characteristic
127	C₁₃×#418	C₂²	1	2	yes	complemented
128	C₁₃×#418	C₂²	1	2	yes	complemented
129	C₁₃×#417	C₂²	1	2	yes	complemented
130	C₁₃×#417	C₂²	1	2	yes	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×#102	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic
137	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
139	C₂⁵×C₁₃	—	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	—	4	2	no	—
145	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×#41	C₂³	1	2	yes	—
147	C₂×C₁₃×#41	C₂³	1	2	yes	—
148	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₁₃	—	2	4	no	—
150	C₂²×D₄×C₁₃	—	2	1	no	—
151	C₂²×D₄×C₁₃	—	2	1	no	—
152	C₂²×D₄×C₁₃	—	2	1	no	—
153	C₂²×D₄×C₁₃	—	2	1	no	—
154	C₂²×D₄×C₁₃	—	2	1	no	—
155	C₂²×D₄×C₁₃	—	4	2	no	—
156	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
157	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
159	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
161	C₂³×C₄×C₁₃	—	2	1	no	—
162	C₂³×C₄×C₁₃	—	2	1	no	—
163	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₁₃×#137	—	4	2	no	—
166	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
167	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
168	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
169	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
170	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
171	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
172	C₂×C₁₃×D₈	C₂³	1	2	yes	—
173	C₂×C₁₃×D₈	C₂³	1	2	yes	—
174	C₂×C₁₃×M₁₆	—	4	2	no	—
175	C₂×C₁₃×M₁₆	—	4	2	no	—
176	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
177	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
181	C₂×C₁₃×M₁₆	C₂³	1	2	yes	complemented
182	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
183	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
184	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
185	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
186	C₁₃×#126	—	2	1	no	—
187	C₁₃×#126	—	2	1	no	—
188	C₁₃×#126	—	2	1	no	—
189	C₁₃×#126	—	2	1	no	—
190	C₁₃×#126	—	2	1	no	—
191	C₁₃×#126	—	2	1	no	—
192	C₁₃×#125	—	2	1	no	—
193	C₁₃×#125	—	2	1	no	—
194	C₁₃×#125	—	2	1	no	—
195	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
196	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	—	2	1	no	—
200	C₁₃×#124	—	2	1	no	—
201	C₁₃×#124	—	2	1	no	—
202	C₁₃×#124	C₂³	1	2	yes	—
203	C₁₃×#124	C₂³	1	2	yes	—
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×#123	—	2	2	no	—
211	C₁₃×#123	—	2	2	no	—
212	C₁₃×#123	—	2	1	no	—
213	C₁₃×#123	—	2	1	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	—	2	1	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
227	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
228	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
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	2	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	2	no	—
237	C₁₃×#121	—	2	2	no	—
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
243	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
244	C₁₃×#120	—	2	1	no	—
245	C₁₃×#120	—	2	1	no	—
246	C₁₃×#120	—	2	2	no	—
247	C₁₃×#120	—	2	2	no	—
248	C₁₃×#120	—	2	2	no	—
249	C₁₃×#120	—	2	2	no	—
250	C₄×Q₈×C₁₃	—	2	1	no	—
251	C₄×Q₈×C₁₃	—	2	1	no	—
252	C₄×Q₈×C₁₃	—	2	1	no	—
253	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
254	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
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	D₄	1	1	yes	characteristic
267	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
268	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
269	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
270	C₄×D₄×C₁₃	C₂³	1	2	yes	—
271	C₄×D₄×C₁₃	C₂³	1	2	yes	—
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
274	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
275	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
278	C₁₃×#117	—	2	1	no	—
279	C₁₃×#117	—	2	1	no	—
280	C₁₃×#117	—	2	1	no	—
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	—	2	1	no	—
284	C₁₃×#117	—	2	1	no	—
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	C₂³	1	1	yes	characteristic
287	C₁₃×#117	C₂³	1	1	yes	characteristic
288	C₁₃×#117	C₂³	1	1	yes	characteristic
289	C₁₃×#117	C₂³	1	1	yes	characteristic
290	C₁₃×#117	C₂³	1	1	yes	characteristic
291	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
292	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
293	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
294	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
299	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
300	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
301	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
302	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
303	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
304	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
306	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
308	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
311	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
312	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
313	C₂×C₄²×C₁₃	—	2	1	no	—
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	complemented
318	C₁₃×#107	C₂³	1	2	yes	complemented
319	C₁₃×#107	C₂³	1	2	yes	complemented
320	C₁₃×#106	C₂³	1	2	yes	complemented
321	C₁₃×#106	C₂³	1	2	yes	complemented
322	C₁₃×#106	C₂³	1	2	yes	complemented
323	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
324	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
325	C₁₃×#103	C₂³	1	2	yes	complemented
326	C₁₃×#103	C₂³	1	2	yes	complemented
327	C₁₃×#103	C₂³	1	2	yes	complemented
328	C₁₃×#103	C₂³	1	2	yes	complemented
329	C₁₃×#103	C₂³	1	2	yes	complemented
330	C₁₃×#103	C₂³	1	2	yes	complemented
331	C₁₃×#103	C₂³	1	2	yes	complemented
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×#102	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	complemented
345	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
346	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
347	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
348	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
349	C₁₃×#97	C₂³	1	2	yes	complemented
350	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
351	#61156	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	2	no	—
355	C₂⁴×C₁₃	—	2	2	no	—
356	C₂⁴×C₁₃	—	4	4	no	—
357	C₂⁴×C₁₃	—	4	4	no	—
358	C₂⁴×C₁₃	—	8	2	no	—
359	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
361	C₁₃×#41	—	2	4	no	—
362	C₁₃×#41	—	2	4	no	—
363	C₁₃×#41	—	2	2	no	—
364	C₁₃×#41	—	2	2	no	—
365	C₁₃×#41	—	4	2	no	—
366	C₁₃×#41	—	4	2	no	—
367	C₁₃×#41	—	4	4	no	—
368	C₁₃×#41	—	4	4	no	—
369	C₁₃×#41	—	4	4	no	—
370	C₂×Q₈×C₁₃	—	2	1	no	—
371	C₂×Q₈×C₁₃	—	2	1	no	—
372	C₂×Q₈×C₁₃	—	2	1	no	—
373	C₂×Q₈×C₁₃	—	2	2	no	—
374	C₂×Q₈×C₁₃	—	2	2	no	—
375	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
376	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×D₄×C₁₃	—	2	4	no	—
378	C₂×D₄×C₁₃	—	2	4	no	—
379	C₂×D₄×C₁₃	—	2	1	no	—
380	C₂×D₄×C₁₃	—	2	1	no	—
381	C₂×D₄×C₁₃	—	2	1	no	—
382	C₂×D₄×C₁₃	—	2	2	no	—
383	C₂×D₄×C₁₃	—	2	2	no	—
384	C₂×D₄×C₁₃	—	2	1	no	—
385	C₂×D₄×C₁₃	—	2	1	no	—
386	C₂×D₄×C₁₃	—	2	2	no	—
387	C₂×D₄×C₁₃	—	2	2	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	2	no	—
393	C₂×D₄×C₁₃	—	2	2	no	—
394	C₂×D₄×C₁₃	—	2	2	no	—
395	C₂×D₄×C₁₃	—	4	2	no	—
396	C₂×D₄×C₁₃	—	4	2	no	—
397	C₂×D₄×C₁₃	—	4	4	no	—
398	C₂×D₄×C₁₃	—	4	4	no	—
399	C₂×D₄×C₁₃	—	4	4	no	—
400	C₂×D₄×C₁₃	—	4	2	no	—
401	C₂×D₄×C₁₃	—	4	4	no	—
402	C₂×D₄×C₁₃	—	8	2	no	—
403	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
404	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
405	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
406	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
407	C₂×D₄×C₁₃	#41	1	4	yes	complemented
408	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
409	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
411	C₂²×C₄×C₁₃	—	2	2	no	—
412	C₂²×C₄×C₁₃	—	2	2	no	—
413	C₂²×C₄×C₁₃	—	2	2	no	—
414	C₂²×C₄×C₁₃	—	2	2	no	—
415	C₂²×C₄×C₁₃	—	2	1	no	—
416	C₂²×C₄×C₁₃	—	2	1	no	—
417	C₂²×C₄×C₁₃	—	2	1	no	—
418	C₂²×C₄×C₁₃	—	2	1	no	—
419	C₂²×C₄×C₁₃	—	2	1	no	—
420	C₂²×C₄×C₁₃	—	2	1	no	—
421	C₂²×C₄×C₁₃	—	2	1	no	—
422	C₂²×C₄×C₁₃	—	2	1	no	—
423	C₂²×C₄×C₁₃	—	2	2	no	—
424	C₂²×C₄×C₁₃	—	2	2	no	—
425	C₂²×C₄×C₁₃	—	2	1	no	—
426	C₂²×C₄×C₁₃	—	2	2	no	—
427	C₂²×C₄×C₁₃	—	2	2	no	—
428	C₂²×C₄×C₁₃	—	4	4	no	—
429	C₂²×C₄×C₁₃	—	8	2	no	—
430	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
431	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
434	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
436	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
437	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
438	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
443	C₁₃×Q₁₆	—	4	2	no	—
444	C₁₃×SD₁₆	—	2	4	no	—
445	C₁₃×SD₁₆	—	4	2	no	—
446	C₁₃×SD₁₆	—	4	2	no	—
447	C₁₃×D₈	—	2	4	no	—
448	C₁₃×D₈	—	4	2	no	—
449	C₁₃×M₁₆	—	2	2	no	—
450	C₁₃×M₁₆	—	2	2	no	—
451	C₁₃×M₁₆	—	2	2	no	—
452	C₁₃×M₁₆	—	2	2	no	—
453	C₁₃×M₁₆	—	4	2	no	—
454	C₁₃×M₁₆	—	4	2	no	—
455	C₂×C₈×C₁₃	—	4	2	no	—
456	C₂×C₈×C₁₃	—	4	2	no	—
457	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
458	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
459	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
460	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
461	C₁₃×C₄⋊C₄	—	2	2	no	—
462	C₁₃×C₄⋊C₄	—	2	2	no	—
463	C₁₃×C₄⋊C₄	—	2	1	no	—
464	C₁₃×C₄⋊C₄	—	2	1	no	—
465	C₁₃×C₄⋊C₄	—	2	1	no	—
466	C₁₃×C₄⋊C₄	—	2	1	no	—
467	C₁₃×C₄⋊C₄	—	2	1	no	—
468	C₁₃×C₄⋊C₄	—	2	1	no	—
469	C₁₃×C₄⋊C₄	—	2	1	no	—
470	C₁₃×C₄⋊C₄	—	2	1	no	—
471	C₁₃×C₄⋊C₄	—	2	1	no	—
472	C₁₃×C₄⋊C₄	—	2	1	no	—
473	C₁₃×C₄⋊C₄	—	2	1	no	—
474	C₁₃×C₄⋊C₄	—	2	1	no	—
475	C₁₃×C₄⋊C₄	—	2	1	no	—
476	C₁₃×C₄⋊C₄	—	2	1	no	—
477	C₁₃×C₄⋊C₄	—	2	1	no	—
478	C₁₃×C₄⋊C₄	—	2	1	no	—
479	C₁₃×C₄⋊C₄	—	2	1	no	—
480	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
481	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
482	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
485	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
486	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
487	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
488	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
489	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
490	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
491	C₁₃×C₂²⋊C₄	—	2	2	no	—
492	C₁₃×C₂²⋊C₄	—	2	2	no	—
493	C₁₃×C₂²⋊C₄	—	2	1	no	—
494	C₁₃×C₂²⋊C₄	—	2	1	no	—
495	C₁₃×C₂²⋊C₄	—	2	1	no	—
496	C₁₃×C₂²⋊C₄	—	2	1	no	—
497	C₁₃×C₂²⋊C₄	—	2	1	no	—
498	C₁₃×C₂²⋊C₄	—	2	1	no	—
499	C₁₃×C₂²⋊C₄	—	2	1	no	—
500	C₁₃×C₂²⋊C₄	—	2	1	no	—
501	C₁₃×C₂²⋊C₄	—	2	1	no	—
502	C₁₃×C₂²⋊C₄	—	2	1	no	—
503	C₁₃×C₂²⋊C₄	—	2	1	no	—
504	C₁₃×C₂²⋊C₄	—	2	2	no	—
505	C₁₃×C₂²⋊C₄	—	2	2	no	—
506	C₁₃×C₂²⋊C₄	—	2	2	no	—
507	C₁₃×C₂²⋊C₄	—	2	2	no	—
508	C₁₃×C₂²⋊C₄	—	2	2	no	—
509	C₁₃×C₂²⋊C₄	—	2	2	no	—
510	C₁₃×C₂²⋊C₄	—	2	2	no	—
511	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	1	yes	characteristic
519	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
520	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
521	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
522	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
523	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
524	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
525	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
526	C₄²×C₁₃	—	2	1	no	—
527	C₄²×C₁₃	—	2	1	no	—
528	C₄²×C₁₃	—	2	1	no	—
529	C₄²×C₁₃	—	2	1	no	—
530	C₄²×C₁₃	—	2	1	no	—
531	C₄²×C₁₃	—	2	1	no	—
532	C₄²×C₁₃	—	2	1	no	—
533	C₄²×C₁₃	—	2	1	no	—
534	C₄²×C₁₃	—	2	1	no	—
535	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
536	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
537	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
539	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
540	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
541	#3323	C₂×C₁₃	1	2	yes	complemented
542	#3322	C₂×C₁₃	1	2	yes	complemented
543	#3319	C₂×C₁₃	1	2	yes	complemented
544	#3314	C₂×C₁₃	1	2	yes	complemented
545	#3311	C₂×C₁₃	1	2	yes	complemented
546	#3306	C₂×C₁₃	1	2	yes	complemented
547	#3297	C₂×C₁₃	1	2	yes	complemented
548	#3296	C₂×C₁₃	1	2	yes	complemented
549	#3140	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3095	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3094	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3040	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#3005	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#3003	C₂×C₁₃	1	1	yes	characteristic, complemented
558	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
559	D₄×M₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#2896	C₂×C₁₃	1	1	yes	characteristic, complemented
561	C₂×#418	C₂×C₁₃	1	1	yes	characteristic, complemented
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	4	no	—
564	C₂³×C₁₃	—	2	2	no	—
565	C₂³×C₁₃	—	2	2	no	—
566	C₂³×C₁₃	—	2	2	no	—
567	C₂³×C₁₃	—	2	1	no	—
568	C₂³×C₁₃	—	2	2	no	—
569	C₂³×C₁₃	—	4	1	no	—
570	C₂³×C₁₃	—	4	1	no	—
571	C₂³×C₁₃	—	4	1	no	—
572	C₂³×C₁₃	—	4	4	no	—
573	C₂³×C₁₃	—	4	4	no	—
574	C₂³×C₁₃	—	4	2	no	—
575	C₂³×C₁₃	—	4	2	no	—
576	C₂³×C₁₃	—	4	2	no	—
577	C₂³×C₁₃	—	4	2	no	—
578	C₂³×C₁₃	—	4	4	no	—
579	C₂³×C₁₃	—	4	2	no	—
580	C₂³×C₁₃	—	4	4	no	—
581	C₂³×C₁₃	—	8	2	no	—
582	C₂³×C₁₃	—	8	2	no	—
583	C₂³×C₁₃	—	8	16	no	—
584	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
585	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
586	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
587	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
588	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
589	Q₈×C₁₃	—	2	1	no	—
590	Q₈×C₁₃	—	2	2	no	—
591	Q₈×C₁₃	—	2	1	no	—
592	Q₈×C₁₃	—	2	2	no	—
593	Q₈×C₁₃	—	4	2	no	—
594	Q₈×C₁₃	—	4	2	no	—
595	Q₈×C₁₃	—	8	1	no	—
596	D₄×C₁₃	—	2	2	no	—
597	D₄×C₁₃	—	2	2	no	—
598	D₄×C₁₃	—	2	4	no	—
599	D₄×C₁₃	—	2	1	no	—
600	D₄×C₁₃	—	2	2	no	—
601	D₄×C₁₃	—	2	2	no	—
602	D₄×C₁₃	—	2	1	no	—
603	D₄×C₁₃	—	2	2	no	—
604	D₄×C₁₃	—	4	1	no	—
605	D₄×C₁₃	—	4	1	no	—
606	D₄×C₁₃	—	4	4	no	—
607	D₄×C₁₃	—	4	4	no	—
608	D₄×C₁₃	—	4	4	no	—
609	D₄×C₁₃	—	4	4	no	—
610	D₄×C₁₃	—	4	2	no	—
611	D₄×C₁₃	—	4	2	no	—
612	D₄×C₁₃	—	4	2	no	—
613	D₄×C₁₃	—	4	2	no	—
614	D₄×C₁₃	—	8	1	no	—
615	D₄×C₁₃	—	8	1	no	—
616	D₄×C₁₃	—	8	2	no	—
617	D₄×C₁₃	—	8	2	no	—
618	D₄×C₁₃	C₂×#41	1	4	yes	—
619	C₂×C₄×C₁₃	—	2	2	no	—
620	C₂×C₄×C₁₃	—	2	2	no	—
621	C₂×C₄×C₁₃	—	2	2	no	—
622	C₂×C₄×C₁₃	—	2	2	no	—
623	C₂×C₄×C₁₃	—	2	2	no	—
624	C₂×C₄×C₁₃	—	2	2	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	2	no	—
641	C₂×C₄×C₁₃	—	2	2	no	—
642	C₂×C₄×C₁₃	—	4	1	no	—
643	C₂×C₄×C₁₃	—	4	1	no	—
644	C₂×C₄×C₁₃	—	4	4	no	—
645	C₂×C₄×C₁₃	—	4	4	no	—
646	C₂×C₄×C₁₃	—	4	2	no	—
647	C₂×C₄×C₁₃	—	4	2	no	—
648	C₂×C₄×C₁₃	—	4	2	no	—
649	C₂×C₄×C₁₃	—	4	2	no	—
650	C₂×C₄×C₁₃	—	4	2	no	—
651	C₂×C₄×C₁₃	—	4	2	no	—
652	C₂×C₄×C₁₃	—	8	1	no	—
653	C₂×C₄×C₁₃	—	8	2	no	—
654	C₂×C₄×C₁₃	—	8	2	no	—
655	C₂×C₄×C₁₃	—	8	1	no	—
656	C₂×C₄×C₁₃	—	8	1	no	—
657	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
658	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
659	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
661	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
662	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
663	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
664	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
665	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
666	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
667	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
668	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
669	C₈×C₁₃	—	2	2	no	—
670	C₈×C₁₃	—	2	2	no	—
671	C₈×C₁₃	—	2	2	no	—
672	C₈×C₁₃	—	2	2	no	—
673	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
674	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
675	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
677	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
678	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
679	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	#552	—	2	1	no	—
686	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
688	#551	—	2	1	no	—
689	#551	—	2	1	no	—
690	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	#546	—	2	1	no	—
692	#546	—	2	1	no	—
693	#546	—	2	1	no	—
694	#546	—	2	1	no	—
695	#546	—	2	1	no	—
696	#546	C₂²×C₁₃	1	2	yes	—
697	#546	C₂²×C₁₃	1	2	yes	—
698	#546	C₂²×C₁₃	1	2	yes	—
699	#546	C₂²×C₁₃	1	2	yes	—
700	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	#529	—	2	1	no	—
702	#529	—	2	1	no	—
703	#529	—	2	1	no	—
704	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
705	#525	C₂²×C₁₃	1	1	yes	characteristic
706	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
707	C₂×#123	—	2	1	no	—
708	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
709	C₂×#121	—	2	1	no	—
710	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
711	C₂×#120	—	2	1	no	—
712	C₄×#41	—	2	1	no	—
713	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
715	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
716	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
717	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	C₂²×C₂²⋊C₄	—	2	1	no	—
719	#489	C₂²×C₁₃	1	2	yes	complemented
720	#489	C₂²×C₁₃	1	2	yes	complemented
721	#488	C₂²×C₁₃	1	2	yes	complemented
722	#488	C₂²×C₁₃	1	2	yes	complemented
723	#485	C₂²×C₁₃	1	2	yes	complemented
724	#485	C₂²×C₁₃	1	2	yes	complemented
725	#484	C₂²×C₁₃	1	2	yes	complemented
726	#483	C₂²×C₁₃	1	2	yes	complemented
727	#482	C₂²×C₁₃	1	2	yes	complemented
728	#482	C₂²×C₁₃	1	2	yes	complemented
729	#481	C₂²×C₁₃	1	2	yes	complemented
730	#480	C₂²×C₁₃	1	2	yes	complemented
731	#478	C₂²×C₁₃	1	2	yes	complemented
732	#478	C₂²×C₁₃	1	2	yes	complemented
733	#476	C₂²×C₁₃	1	2	yes	complemented
734	#474	C₂²×C₁₃	1	2	yes	complemented
735	#470	C₂²×C₁₃	1	2	yes	complemented
736	#469	C₂²×C₁₃	1	2	yes	complemented
737	#468	C₂²×C₁₃	1	2	yes	complemented
738	#468	C₂²×C₁₃	1	2	yes	complemented
739	#467	C₂²×C₁₃	1	2	yes	complemented
740	#466	C₂²×C₁₃	1	2	yes	complemented
741	#465	C₂²×C₁₃	1	2	yes	complemented
742	#465	C₂²×C₁₃	1	2	yes	complemented
743	#464	C₂²×C₁₃	1	2	yes	complemented
744	#464	C₂²×C₁₃	1	2	yes	complemented
745	#463	C₂²×C₁₃	1	2	yes	complemented
746	#463	C₂²×C₁₃	1	2	yes	complemented
747	#452	C₂²×C₁₃	1	2	yes	complemented
748	#452	C₂²×C₁₃	1	2	yes	complemented
749	#450	C₂²×C₁₃	1	2	yes	complemented
750	#450	C₂²×C₁₃	1	2	yes	complemented
751	#449	C₂²×C₁₃	1	2	yes	complemented
752	#449	C₂²×C₁₃	1	2	yes	complemented
753	#447	C₂²×C₁₃	1	2	yes	complemented
754	#447	C₂²×C₁₃	1	2	yes	complemented
755	#442	C₂²×C₁₃	1	2	yes	complemented
756	#440	C₂²×C₁₃	1	2	yes	complemented
757	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
758	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
759	#436	C₂²×C₁₃	1	2	yes	complemented
760	#435	C₂²×C₁₃	1	2	yes	complemented
761	#435	C₂²×C₁₃	1	2	yes	complemented
762	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
763	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
765	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
767	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
768	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
770	#418	C₂²×C₁₃	1	1	yes	characteristic
771	#418	C₂²×C₁₃	1	1	yes	characteristic
772	#418	C₂²×C₁₃	1	1	yes	characteristic
773	#418	C₂²×C₁₃	1	1	yes	characteristic
774	#418	C₂²×C₁₃	1	1	yes	characteristic
775	#418	C₂²×C₁₃	1	1	yes	characteristic
776	#418	C₂²×C₁₃	1	2	yes	complemented
777	#418	C₂²×C₁₃	1	2	yes	complemented
778	#417	C₂²×C₁₃	1	2	yes	complemented
779	#417	C₂²×C₁₃	1	2	yes	complemented
780	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	#416	C₂²×C₁₃	1	2	yes	complemented
782	#416	C₂²×C₁₃	1	2	yes	complemented
783	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
784	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
785	#407	C₂²×C₁₃	1	1	yes	characteristic
786	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	C₂²×C₁₃	—	2	1	no	—
789	C₂²×C₁₃	—	2	1	no	—
790	C₂²×C₁₃	—	2	1	no	—
791	C₂²×C₁₃	—	2	1	no	—
792	C₂²×C₁₃	—	2	1	no	—
793	C₂²×C₁₃	—	2	1	no	—
794	C₂²×C₁₃	—	2	1	no	—
795	C₂²×C₁₃	—	2	1	no	—
796	C₂²×C₁₃	—	2	1	no	—
797	C₂²×C₁₃	—	2	1	no	—
798	C₂²×C₁₃	—	2	4	no	—
799	C₂²×C₁₃	—	2	1	no	—
800	C₂²×C₁₃	—	2	1	no	—
801	C₂²×C₁₃	—	2	1	no	—
802	C₂²×C₁₃	—	4	4	no	—
803	C₂²×C₁₃	—	4	8	no	—
804	C₂²×C₁₃	—	4	2	no	—
805	C₂²×C₁₃	—	4	2	no	—
806	C₂²×C₁₃	—	4	1	no	—
807	C₂²×C₁₃	—	4	2	no	—
808	C₂²×C₁₃	—	4	1	no	—
809	C₂²×C₁₃	—	4	2	no	—
810	C₂²×C₁₃	—	4	1	no	—
811	C₂²×C₁₃	—	4	2	no	—
812	C₂²×C₁₃	—	8	2	no	—
813	C₂²×C₁₃	—	8	8	no	—
814	C₂²×C₁₃	—	8	4	no	—
815	C₂²×C₁₃	—	8	8	no	—
816	C₂²×C₁₃	#546	1	2	yes	—
817	C₂²×C₁₃	#575	1	2	yes	—
818	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
819	C₄×C₁₃	—	2	1	no	—
820	C₄×C₁₃	—	2	1	no	—
821	C₄×C₁₃	—	2	1	no	—
822	C₄×C₁₃	—	2	1	no	—
823	C₄×C₁₃	—	2	1	no	—
824	C₄×C₁₃	—	2	1	no	—
825	C₄×C₁₃	—	2	1	no	—
826	C₄×C₁₃	—	2	1	no	—
827	C₄×C₁₃	—	4	2	no	—
828	C₄×C₁₃	—	4	1	no	—
829	C₄×C₁₃	—	4	1	no	—
830	C₄×C₁₃	—	4	1	no	—
831	C₄×C₁₃	—	4	2	no	—
832	C₄×C₁₃	—	4	1	no	—
833	C₄×C₁₃	—	4	1	no	—
834	C₄×C₁₃	—	4	1	no	—
835	C₄×C₁₃	—	4	1	no	—
836	C₄×C₁₃	#546	1	2	yes	—
837	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
838	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
839	C₂⁵	—	2	1	no	—
840	C₂×#41	—	2	1	no	—
841	C₂×#41	—	2	1	no	—
842	C₂×#41	—	2	1	no	—
843	C₂×#41	—	2	4	no	—
844	C₂×#41	—	4	2	no	—
845	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
846	C₂×#41	C₂³×C₁₃	1	2	yes	—
847	C₂×#41	C₂³×C₁₃	1	2	yes	—
848	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₂²×D₄	—	2	4	no	—
850	C₂²×D₄	—	2	1	no	—
851	C₂²×D₄	—	2	1	no	—
852	C₂²×D₄	—	2	1	no	—
853	C₂²×D₄	—	2	1	no	—
854	C₂²×D₄	—	2	1	no	—
855	C₂²×D₄	—	4	2	no	—
856	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
857	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
858	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
859	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
860	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
861	C₂³×C₄	—	2	1	no	—
862	C₂³×C₄	—	2	1	no	—
863	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
865	#137	—	4	2	no	—
866	AGL(1,ℤ/8)	—	2	4	no	—
867	AGL(1,ℤ/8)	—	4	2	no	—
868	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
869	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
870	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
871	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
872	C₂×D₈	C₂³×C₁₃	1	2	yes	—
873	C₂×D₈	C₂³×C₁₃	1	2	yes	—
874	C₂×M₁₆	—	4	2	no	—
875	C₂×M₁₆	—	4	2	no	—
876	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
877	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
878	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
879	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
880	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
881	C₂×M₁₆	C₂³×C₁₃	1	2	yes	complemented
882	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
883	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
884	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
885	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
886	#126	—	2	1	no	—
887	#126	—	2	1	no	—
888	#126	—	2	1	no	—
889	#126	—	2	1	no	—
890	#126	—	2	1	no	—
891	#126	—	2	1	no	—
892	#125	—	2	1	no	—
893	#125	—	2	1	no	—
894	#125	—	2	1	no	—
895	#125	C₂³×C₁₃	1	1	yes	characteristic, complemented
896	#125	C₂³×C₁₃	1	1	yes	characteristic, complemented
897	#124	—	2	1	no	—
898	#124	—	2	1	no	—
899	#124	—	2	1	no	—
900	#124	—	2	1	no	—
901	#124	—	2	1	no	—
902	#124	C₂³×C₁₃	1	2	yes	—
903	#124	C₂³×C₁₃	1	2	yes	—
904	#123	—	2	1	no	—
905	#123	—	2	1	no	—
906	#123	—	2	1	no	—
907	#123	—	2	1	no	—
908	#123	—	2	2	no	—
909	#123	—	2	2	no	—
910	#123	—	2	2	no	—
911	#123	—	2	2	no	—
912	#123	—	2	1	no	—
913	#123	—	2	1	no	—
914	#123	—	2	1	no	—
915	#123	—	2	1	no	—
916	C₂²⋊Q₈	—	2	1	no	—
917	C₂²⋊Q₈	—	2	1	no	—
918	C₂²⋊Q₈	—	2	1	no	—
919	C₂²⋊Q₈	—	2	1	no	—
920	C₂²⋊Q₈	—	2	1	no	—
921	C₂²⋊Q₈	—	2	1	no	—
922	C₂²⋊Q₈	—	2	1	no	—
923	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
924	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
925	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
926	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
927	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
928	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
929	#121	—	2	1	no	—
930	#121	—	2	1	no	—
931	#121	—	2	1	no	—
932	#121	—	2	1	no	—
933	#121	—	2	1	no	—
934	#121	—	2	2	no	—
935	#121	—	2	2	no	—
936	#121	—	2	2	no	—
937	#121	—	2	2	no	—
938	#121	C₂³×C₁₃	1	2	yes	—
939	#121	C₂³×C₁₃	1	2	yes	—
940	#121	C₂³×C₁₃	1	1	yes	characteristic
941	#121	C₂³×C₁₃	1	1	yes	characteristic
942	#121	C₂³×C₁₃	1	1	yes	characteristic, complemented
943	#121	C₂³×C₁₃	1	1	yes	characteristic, complemented
944	#120	—	2	1	no	—
945	#120	—	2	1	no	—
946	#120	—	2	2	no	—
947	#120	—	2	2	no	—
948	#120	—	2	2	no	—
949	#120	—	2	2	no	—
950	C₄×Q₈	—	2	1	no	—
951	C₄×Q₈	—	2	1	no	—
952	C₄×Q₈	—	2	1	no	—
953	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
954	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
955	C₄×D₄	—	2	1	no	—
956	C₄×D₄	—	2	1	no	—
957	C₄×D₄	—	2	1	no	—
958	C₄×D₄	—	2	1	no	—
959	C₄×D₄	—	2	1	no	—
960	C₄×D₄	—	2	1	no	—
961	C₄×D₄	—	2	1	no	—
962	C₄×D₄	—	2	1	no	—
963	C₄×D₄	—	2	1	no	—
964	C₄×D₄	—	2	1	no	—
965	C₄×D₄	—	2	1	no	—
966	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
967	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
968	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
969	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
970	C₄×D₄	C₂³×C₁₃	1	2	yes	—
971	C₄×D₄	C₂³×C₁₃	1	2	yes	—
972	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
973	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
974	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
975	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
976	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
977	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
978	#117	—	2	1	no	—
979	#117	—	2	1	no	—
980	#117	—	2	1	no	—
981	#117	—	2	1	no	—
982	#117	—	2	1	no	—
983	#117	—	2	1	no	—
984	#117	—	2	1	no	—
985	#117	—	2	1	no	—
986	#117	C₂³×C₁₃	1	1	yes	characteristic
987	#117	C₂³×C₁₃	1	1	yes	characteristic
988	#117	C₂³×C₁₃	1	1	yes	characteristic
989	#117	C₂³×C₁₃	1	1	yes	characteristic
990	#117	C₂³×C₁₃	1	1	yes	characteristic
991	#117	C₂³×C₁₃	1	1	yes	characteristic, complemented
992	#117	C₂³×C₁₃	1	1	yes	characteristic, complemented
993	C₂×C₄⋊C₄	—	2	1	no	—
994	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
999	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
1000	C₂×C₂²⋊C₄	—	2	1	no	—
1001	C₂×C₂²⋊C₄	—	2	1	no	—
1002	C₂×C₂²⋊C₄	—	2	1	no	—
1003	C₂×C₂²⋊C₄	—	2	1	no	—
1004	C₂×C₂²⋊C₄	—	2	1	no	—
1005	C₂×C₂²⋊C₄	—	2	1	no	—
1006	C₂×C₂²⋊C₄	—	2	1	no	—
1007	C₂×C₂²⋊C₄	—	2	2	no	—
1008	C₂×C₂²⋊C₄	—	2	2	no	—
1009	C₂×C₂²⋊C₄	—	2	2	no	—
1010	C₂×C₂²⋊C₄	—	2	2	no	—
1011	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1013	C₂×C₄²	—	2	1	no	—
1014	C₂×C₄²	—	2	1	no	—
1015	C₂×C₄²	—	2	1	no	—
1016	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1017	#107	C₂³×C₁₃	1	2	yes	complemented
1018	#107	C₂³×C₁₃	1	2	yes	complemented
1019	#107	C₂³×C₁₃	1	2	yes	complemented
1020	#106	C₂³×C₁₃	1	2	yes	complemented
1021	#106	C₂³×C₁₃	1	2	yes	complemented
1022	#106	C₂³×C₁₃	1	2	yes	complemented
1023	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1024	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1025	#103	C₂³×C₁₃	1	2	yes	complemented
1026	#103	C₂³×C₁₃	1	2	yes	complemented
1027	#103	C₂³×C₁₃	1	2	yes	complemented
1028	#103	C₂³×C₁₃	1	2	yes	complemented
1029	#103	C₂³×C₁₃	1	2	yes	complemented
1030	#103	C₂³×C₁₃	1	2	yes	complemented
1031	#103	C₂³×C₁₃	1	2	yes	complemented
1032	#102	C₂³×C₁₃	1	2	yes	—
1033	#102	C₂³×C₁₃	1	2	yes	—
1034	#102	C₂³×C₁₃	1	2	yes	—
1035	#102	C₂³×C₁₃	1	2	yes	—
1036	#102	C₂³×C₁₃	1	2	yes	—
1037	#102	C₂³×C₁₃	1	2	yes	—
1038	#102	C₂³×C₁₃	1	2	yes	—
1039	#102	C₂³×C₁₃	1	2	yes	—
1040	#102	C₂³×C₁₃	1	2	yes	—
1041	#102	C₂³×C₁₃	1	2	yes	—
1042	#102	C₂³×C₁₃	1	2	yes	—
1043	#102	C₂³×C₁₃	1	2	yes	—
1044	#102	C₂³×C₁₃	1	2	yes	complemented
1045	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1046	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1047	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1048	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1049	#97	C₂³×C₁₃	1	2	yes	complemented
1050	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
1051	C₂×C₁₃	—	2	2	no	—
1052	C₂×C₁₃	—	2	2	no	—
1053	C₂×C₁₃	—	4	1	no	—
1054	C₂×C₁₃	—	4	1	no	—
1055	C₂×C₁₃	—	4	1	no	—
1056	C₂×C₁₃	—	4	4	no	—
1057	C₂×C₁₃	—	8	1	no	—
1058	C₂×C₁₃	—	8	2	no	—
1059	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1060	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1061	C₂×C₁₃	#3585	1	1	yes	characteristic
1062	C₂⁴	—	2	1	no	—
1063	C₂⁴	—	2	1	no	—
1064	C₂⁴	—	2	2	no	—
1065	C₂⁴	—	2	2	no	—
1066	C₂⁴	—	4	4	no	—
1067	C₂⁴	—	4	4	no	—
1068	C₂⁴	—	8	2	no	—
1069	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1070	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1071	#41	—	2	4	no	—
1072	#41	—	2	4	no	—
1073	#41	—	2	2	no	—
1074	#41	—	2	2	no	—
1075	#41	—	4	2	no	—
1076	#41	—	4	2	no	—
1077	#41	—	4	4	no	—
1078	#41	—	4	4	no	—
1079	#41	—	4	4	no	—
1080	C₂×Q₈	—	2	1	no	—
1081	C₂×Q₈	—	2	1	no	—
1082	C₂×Q₈	—	2	1	no	—
1083	C₂×Q₈	—	2	2	no	—
1084	C₂×Q₈	—	2	2	no	—
1085	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1086	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₂×D₄	—	2	4	no	—
1088	C₂×D₄	—	2	4	no	—
1089	C₂×D₄	—	2	1	no	—
1090	C₂×D₄	—	2	1	no	—
1091	C₂×D₄	—	2	1	no	—
1092	C₂×D₄	—	2	2	no	—
1093	C₂×D₄	—	2	2	no	—
1094	C₂×D₄	—	2	1	no	—
1095	C₂×D₄	—	2	1	no	—
1096	C₂×D₄	—	2	2	no	—
1097	C₂×D₄	—	2	2	no	—
1098	C₂×D₄	—	2	1	no	—
1099	C₂×D₄	—	2	2	no	—
1100	C₂×D₄	—	2	2	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	2	2	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	4	2	no	—
1106	C₂×D₄	—	4	2	no	—
1107	C₂×D₄	—	4	4	no	—
1108	C₂×D₄	—	4	4	no	—
1109	C₂×D₄	—	4	4	no	—
1110	C₂×D₄	—	4	2	no	—
1111	C₂×D₄	—	4	4	no	—
1112	C₂×D₄	—	8	2	no	—
1113	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1114	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1115	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1116	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1117	C₂×D₄	C₁₃×#41	1	4	yes	complemented
1118	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1119	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1120	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	2	no	—
1125	C₂²×C₄	—	2	1	no	—
1126	C₂²×C₄	—	2	1	no	—
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	1	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	2	1	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	1	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	4	4	no	—
1139	C₂²×C₄	—	8	2	no	—
1140	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1153	Q₁₆	—	4	2	no	—
1154	SD₁₆	—	2	4	no	—
1155	SD₁₆	—	4	2	no	—
1156	SD₁₆	—	4	2	no	—
1157	D₈	—	2	4	no	—
1158	D₈	—	4	2	no	—
1159	M₁₆	—	2	2	no	—
1160	M₁₆	—	2	2	no	—
1161	M₁₆	—	2	2	no	—
1162	M₁₆	—	2	2	no	—
1163	M₁₆	—	4	2	no	—
1164	M₁₆	—	4	2	no	—
1165	C₂×C₈	—	4	2	no	—
1166	C₂×C₈	—	4	2	no	—
1167	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1168	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1169	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1170	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1171	C₄⋊C₄	—	2	2	no	—
1172	C₄⋊C₄	—	2	2	no	—
1173	C₄⋊C₄	—	2	1	no	—
1174	C₄⋊C₄	—	2	1	no	—
1175	C₄⋊C₄	—	2	1	no	—
1176	C₄⋊C₄	—	2	1	no	—
1177	C₄⋊C₄	—	2	1	no	—
1178	C₄⋊C₄	—	2	1	no	—
1179	C₄⋊C₄	—	2	1	no	—
1180	C₄⋊C₄	—	2	1	no	—
1181	C₄⋊C₄	—	2	1	no	—
1182	C₄⋊C₄	—	2	1	no	—
1183	C₄⋊C₄	—	2	1	no	—
1184	C₄⋊C₄	—	2	1	no	—
1185	C₄⋊C₄	—	2	1	no	—
1186	C₄⋊C₄	—	2	1	no	—
1187	C₄⋊C₄	—	2	1	no	—
1188	C₄⋊C₄	—	2	1	no	—
1189	C₄⋊C₄	—	2	1	no	—
1190	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1191	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1192	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1193	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1194	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1195	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1196	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1197	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1198	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1199	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1200	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1201	C₂²⋊C₄	—	2	2	no	—
1202	C₂²⋊C₄	—	2	2	no	—
1203	C₂²⋊C₄	—	2	1	no	—
1204	C₂²⋊C₄	—	2	1	no	—
1205	C₂²⋊C₄	—	2	1	no	—
1206	C₂²⋊C₄	—	2	1	no	—
1207	C₂²⋊C₄	—	2	1	no	—
1208	C₂²⋊C₄	—	2	1	no	—
1209	C₂²⋊C₄	—	2	1	no	—
1210	C₂²⋊C₄	—	2	1	no	—
1211	C₂²⋊C₄	—	2	1	no	—
1212	C₂²⋊C₄	—	2	1	no	—
1213	C₂²⋊C₄	—	2	1	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	2	2	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	1	no	—
1223	C₂²⋊C₄	—	2	1	no	—
1224	C₂²⋊C₄	—	2	1	no	—
1225	C₂²⋊C₄	—	2	1	no	—
1226	C₂²⋊C₄	—	2	1	no	—
1227	C₂²⋊C₄	—	2	1	no	—
1228	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1229	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1230	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1231	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1232	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1234	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1235	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1236	C₄²	—	2	1	no	—
1237	C₄²	—	2	1	no	—
1238	C₄²	—	2	1	no	—
1239	C₄²	—	2	1	no	—
1240	C₄²	—	2	1	no	—
1241	C₄²	—	2	1	no	—
1242	C₄²	—	2	1	no	—
1243	C₄²	—	2	1	no	—
1244	C₄²	—	2	1	no	—
1245	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1246	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1247	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1248	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1249	C₁₃	#61156	1	1	yes	characteristic, direct product factor, Sylow
1250	C₂³	—	2	2	no	—
1251	C₂³	—	2	4	no	—
1252	C₂³	—	2	2	no	—
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	2	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	2	no	—
1257	C₂³	—	4	1	no	—
1258	C₂³	—	4	1	no	—
1259	C₂³	—	4	1	no	—
1260	C₂³	—	4	4	no	—
1261	C₂³	—	4	4	no	—
1262	C₂³	—	4	2	no	—
1263	C₂³	—	4	2	no	—
1264	C₂³	—	4	2	no	—
1265	C₂³	—	4	2	no	—
1266	C₂³	—	4	4	no	—
1267	C₂³	—	4	2	no	—
1268	C₂³	—	4	4	no	—
1269	C₂³	—	8	2	no	—
1270	C₂³	—	8	2	no	—
1271	C₂³	—	8	16	no	—
1272	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1273	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1274	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1275	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1276	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1277	Q₈	—	2	1	no	—
1278	Q₈	—	2	2	no	—
1279	Q₈	—	2	1	no	—
1280	Q₈	—	2	2	no	—
1281	Q₈	—	4	2	no	—
1282	Q₈	—	4	2	no	—
1283	Q₈	—	8	1	no	—
1284	D₄	—	2	2	no	—
1285	D₄	—	2	2	no	—
1286	D₄	—	2	4	no	—
1287	D₄	—	2	1	no	—
1288	D₄	—	2	2	no	—
1289	D₄	—	2	2	no	—
1290	D₄	—	2	1	no	—
1291	D₄	—	2	2	no	—
1292	D₄	—	4	1	no	—
1293	D₄	—	4	1	no	—
1294	D₄	—	4	4	no	—
1295	D₄	—	4	4	no	—
1296	D₄	—	4	4	no	—
1297	D₄	—	4	4	no	—
1298	D₄	—	4	2	no	—
1299	D₄	—	4	2	no	—
1300	D₄	—	4	2	no	—
1301	D₄	—	4	2	no	—
1302	D₄	—	8	2	no	—
1303	D₄	—	8	2	no	—
1304	D₄	—	8	1	no	—
1305	D₄	—	8	1	no	—
1306	D₄	C₂×C₁₃×#41	1	4	yes	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	4	1	no	—
1331	C₂×C₄	—	4	1	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	2	no	—
1335	C₂×C₄	—	4	2	no	—
1336	C₂×C₄	—	4	2	no	—
1337	C₂×C₄	—	4	2	no	—
1338	C₂×C₄	—	4	2	no	—
1339	C₂×C₄	—	4	2	no	—
1340	C₂×C₄	—	8	2	no	—
1341	C₂×C₄	—	8	2	no	—
1342	C₂×C₄	—	8	1	no	—
1343	C₂×C₄	—	8	1	no	—
1344	C₂×C₄	—	8	1	no	—
1345	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1346	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1347	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1348	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1349	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1350	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1351	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1352	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1353	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1354	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1355	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1356	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1357	C₈	—	2	2	no	—
1358	C₈	—	2	2	no	—
1359	C₈	—	2	2	no	—
1360	C₈	—	2	2	no	—
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	2	1	no	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	1	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	4	4	no	—
1376	C₂²	—	4	8	no	—
1377	C₂²	—	4	2	no	—
1378	C₂²	—	4	2	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	2	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	4	2	no	—
1383	C₂²	—	4	1	no	—
1384	C₂²	—	4	2	no	—
1385	C₂²	—	8	2	no	—
1386	C₂²	—	8	8	no	—
1387	C₂²	—	8	4	no	—
1388	C₂²	—	8	8	no	—
1389	C₂²	C₁₃×#546	1	2	yes	—
1390	C₂²	C₁₃×#575	1	2	yes	—
1391	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	4	1	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	4	2	no	—
1404	C₄	—	4	1	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	2	no	—
1408	C₄	—	4	1	no	—
1409	C₄	C₁₃×#546	1	2	yes	—
1410	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1411	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1412	C₂	—	2	2	no	—
1413	C₂	—	2	2	no	—
1414	C₂	—	4	1	no	—
1415	C₂	—	4	1	no	—
1416	C₂	—	4	1	no	—
1417	C₂	—	4	4	no	—
1418	C₂	—	8	2	no	—
1419	C₂	—	8	1	no	—
1420	C₂	C₂×C₁₃×#546	1	1	yes	characteristic
1421	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1422	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. C₁₃×#3475	C₂	semidirect
2. C₂×C₁₃×#546	C₂	semidirect
3. C₁₃×#3323	C₂	semidirect
4. C₁₃×#3322	C₂	semidirect
5. C₁₃×#3319	C₂	semidirect
6. C₁₃×#3314	C₂	semidirect
7. C₁₃×#3311	C₂	semidirect
8. C₁₃×#3306	C₂	semidirect
9. C₁₃×#3297	C₂	semidirect
10. C₁₃×#3296	C₂	semidirect
11. C₁₃×#3140	C₂	semidirect
12. C₁₃×#3095	C₂	semidirect
13. C₁₃×#3094	C₂	semidirect
14. C₁₃×#3077	C₂	semidirect
15. C₁₃×#3056	C₂	semidirect
16. C₁₃×#3055	C₂	semidirect
17. C₁₃×#3040	C₂	semidirect
18. C₁₃×#3005	C₂	semidirect
19. C₁₃×#3003	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×#418	C₂	semidirect
26. C₂×C₁₃×#137	C₂²	semidirect
30. C₂²×C₁₃×M₁₆	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
32. C₁₃×#555	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
37. C₁₃×#552	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
41. C₁₃×#547	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
57. C₁₃×#525	C₂²	semidirect
64. C₄×C₁₃×#41	C₂²	semidirect
68. C₂×C₁₃×#117	C₂²	semidirect
70. C₁₃×#489	C₂²	semidirect
71. C₁₃×#489	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×#478	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#476	C₂²	semidirect
85. C₁₃×#474	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#469	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#467	C₂²	semidirect
91. C₁₃×#466	C₂²	semidirect
92. C₁₃×#465	C₂²	semidirect
93. C₁₃×#465	C₂²	semidirect
94. C₁₃×#464	C₂²	semidirect
95. C₁₃×#464	C₂²	semidirect
96. C₁₃×#463	C₂²	semidirect
97. C₁₃×#463	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#452	C₂²	semidirect
100. C₁₃×#450	C₂²	semidirect
101. C₁₃×#450	C₂²	semidirect
102. C₁₃×#449	C₂²	semidirect
103. C₁₃×#449	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×#419	C₂²	semidirect
120. C₁₃×#419	C₂²	semidirect
127. C₁₃×#418	C₂²	semidirect
128. C₁₃×#418	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×#102	C₂²	semidirect
135. C₂×C₁₃×#102	C₂²	semidirect
137. C₁₃×#407	C₂²	semidirect
138. C₄×C₁₃×M₁₆	C₂²	semidirect
168. C₂×C₁₃×Q₁₆	C₂³	semidirect
171. C₂×C₁₃×SD₁₆	C₂³	semidirect
181. C₂×C₁₃×M₁₆	C₂³	semidirect
183. C₂²×C₈×C₁₃	C₂³	semidirect
184. C₁₃×C₄⋊Q₈	C₂³	semidirect
185. C₁₃×C₄⋊Q₈	C₂³	semidirect
195. C₁₃×#125	C₂³	semidirect
196. C₁₃×#125	C₂³	semidirect
227. C₁₃×C₂²⋊Q₈	C₂³	semidirect
228. C₁₃×C₂²⋊Q₈	C₂³	semidirect
242. C₁₃×#121	C₂³	semidirect
243. C₁₃×#121	C₂³	semidirect
253. C₄×Q₈×C₁₃	C₂³	semidirect
254. C₄×Q₈×C₁₃	C₂³	semidirect
276. C₄×D₄×C₁₃	C₂³	semidirect
277. C₄×D₄×C₁₃	C₂³	semidirect
291. C₁₃×#117	C₂³	semidirect
292. C₁₃×#117	C₂³	semidirect
298. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
299. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
317. C₁₃×#107	C₂³	semidirect
318. C₁₃×#107	C₂³	semidirect
319. C₁₃×#107	C₂³	semidirect
320. C₁₃×#106	C₂³	semidirect
321. C₁₃×#106	C₂³	semidirect
322. C₁₃×#106	C₂³	semidirect
323. C₁₃×C₄⋊C₈	C₂³	semidirect
324. C₁₃×C₄⋊C₈	C₂³	semidirect
325. C₁₃×#103	C₂³	semidirect
326. C₁₃×#103	C₂³	semidirect
327. C₁₃×#103	C₂³	semidirect
328. C₁₃×#103	C₂³	semidirect
329. C₁₃×#103	C₂³	semidirect
330. C₁₃×#103	C₂³	semidirect
331. C₁₃×#103	C₂³	semidirect
344. C₁₃×#102	C₂³	semidirect
347. C₁₃×C₂²⋊C₈	C₂³	semidirect
348. C₁₃×C₂²⋊C₈	C₂³	semidirect
349. C₁₃×#97	C₂³	semidirect
350. C₄×C₈×C₁₃	C₂³	semidirect
351. #61156	C₁₃	direct (N × H)
407. C₂×D₄×C₁₃	#41	semidirect
539. #3475	C₂×C₁₃	semidirect
540. C₂×#546	C₂×C₁₃	semidirect
541. #3323	C₂×C₁₃	semidirect
542. #3322	C₂×C₁₃	semidirect
543. #3319	C₂×C₁₃	semidirect
544. #3314	C₂×C₁₃	semidirect
545. #3311	C₂×C₁₃	semidirect
546. #3306	C₂×C₁₃	semidirect
547. #3297	C₂×C₁₃	semidirect
548. #3296	C₂×C₁₃	semidirect
549. #3140	C₂×C₁₃	semidirect
550. #3095	C₂×C₁₃	semidirect
551. #3094	C₂×C₁₃	semidirect
552. #3077	C₂×C₁₃	semidirect
553. #3056	C₂×C₁₃	semidirect
554. #3055	C₂×C₁₃	semidirect
555. #3040	C₂×C₁₃	semidirect
556. #3005	C₂×C₁₃	semidirect
557. #3003	C₂×C₁₃	semidirect
558. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
559. D₄×M₁₆	C₂×C₁₃	semidirect
560. #2896	C₂×C₁₃	semidirect
561. C₂×#418	C₂×C₁₃	semidirect
675. C₂×#137	C₂²×C₁₃	semidirect
679. C₂²×M₁₆	C₂²×C₁₃	semidirect
680. #556	C₂²×C₁₃	semidirect
681. #555	C₂²×C₁₃	semidirect
682. #554	C₂²×C₁₃	semidirect
683. #553	C₂²×C₁₃	semidirect
684. #553	C₂²×C₁₃	semidirect
686. #552	C₂²×C₁₃	semidirect
687. #552	C₂²×C₁₃	semidirect
690. #547	C₂²×C₁₃	semidirect
700. #533	C₂²×C₁₃	semidirect
706. #525	C₂²×C₁₃	semidirect
713. C₄×#41	C₂²×C₁₃	semidirect
717. C₂×#117	C₂²×C₁₃	semidirect
719. #489	C₂²×C₁₃	semidirect
720. #489	C₂²×C₁₃	semidirect
721. #488	C₂²×C₁₃	semidirect
722. #488	C₂²×C₁₃	semidirect
723. #485	C₂²×C₁₃	semidirect
724. #485	C₂²×C₁₃	semidirect
725. #484	C₂²×C₁₃	semidirect
726. #483	C₂²×C₁₃	semidirect
727. #482	C₂²×C₁₃	semidirect
728. #482	C₂²×C₁₃	semidirect
729. #481	C₂²×C₁₃	semidirect
730. #480	C₂²×C₁₃	semidirect
731. #478	C₂²×C₁₃	semidirect
732. #478	C₂²×C₁₃	semidirect
733. #476	C₂²×C₁₃	semidirect
734. #474	C₂²×C₁₃	semidirect
735. #470	C₂²×C₁₃	semidirect
736. #469	C₂²×C₁₃	semidirect
737. #468	C₂²×C₁₃	semidirect
738. #468	C₂²×C₁₃	semidirect
739. #467	C₂²×C₁₃	semidirect
740. #466	C₂²×C₁₃	semidirect
741. #465	C₂²×C₁₃	semidirect
742. #465	C₂²×C₁₃	semidirect
743. #464	C₂²×C₁₃	semidirect
744. #464	C₂²×C₁₃	semidirect
745. #463	C₂²×C₁₃	semidirect
746. #463	C₂²×C₁₃	semidirect
747. #452	C₂²×C₁₃	semidirect
748. #452	C₂²×C₁₃	semidirect
749. #450	C₂²×C₁₃	semidirect
750. #450	C₂²×C₁₃	semidirect
751. #449	C₂²×C₁₃	semidirect
752. #449	C₂²×C₁₃	semidirect
753. #447	C₂²×C₁₃	semidirect
754. #447	C₂²×C₁₃	semidirect
755. #442	C₂²×C₁₃	semidirect
756. #440	C₂²×C₁₃	semidirect
757. C₄×SD₁₆	C₂²×C₁₃	semidirect
758. C₄×D₈	C₂²×C₁₃	semidirect
759. #436	C₂²×C₁₃	semidirect
760. #435	C₂²×C₁₃	semidirect
761. #435	C₂²×C₁₃	semidirect
762. C₈×D₄	C₂²×C₁₃	semidirect
763. #428	C₂²×C₁₃	semidirect
764. #428	C₂²×C₁₃	semidirect
765. #428	C₂²×C₁₃	semidirect
766. #423	C₂²×C₁₃	semidirect
767. #419	C₂²×C₁₃	semidirect
768. #419	C₂²×C₁₃	semidirect
769. #419	C₂²×C₁₃	semidirect
776. #418	C₂²×C₁₃	semidirect
777. #418	C₂²×C₁₃	semidirect
778. #417	C₂²×C₁₃	semidirect
779. #417	C₂²×C₁₃	semidirect
780. #417	C₂²×C₁₃	semidirect
781. #416	C₂²×C₁₃	semidirect
782. #416	C₂²×C₁₃	semidirect
783. C₂×#102	C₂²×C₁₃	semidirect
784. C₂×#102	C₂²×C₁₃	semidirect
786. #407	C₂²×C₁₃	semidirect
787. C₄×M₁₆	C₂²×C₁₃	semidirect
868. C₂×Q₁₆	C₂³×C₁₃	semidirect
871. C₂×SD₁₆	C₂³×C₁₃	semidirect
881. C₂×M₁₆	C₂³×C₁₃	semidirect
883. C₂²×C₈	C₂³×C₁₃	semidirect
884. C₄⋊Q₈	C₂³×C₁₃	semidirect
885. C₄⋊Q₈	C₂³×C₁₃	semidirect
895. #125	C₂³×C₁₃	semidirect
896. #125	C₂³×C₁₃	semidirect
927. C₂²⋊Q₈	C₂³×C₁₃	semidirect
928. C₂²⋊Q₈	C₂³×C₁₃	semidirect
942. #121	C₂³×C₁₃	semidirect
943. #121	C₂³×C₁₃	semidirect
953. C₄×Q₈	C₂³×C₁₃	semidirect
954. C₄×Q₈	C₂³×C₁₃	semidirect
976. C₄×D₄	C₂³×C₁₃	semidirect
977. C₄×D₄	C₂³×C₁₃	semidirect
991. #117	C₂³×C₁₃	semidirect
992. #117	C₂³×C₁₃	semidirect
998. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
999. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
1017. #107	C₂³×C₁₃	semidirect
1018. #107	C₂³×C₁₃	semidirect
1019. #107	C₂³×C₁₃	semidirect
1020. #106	C₂³×C₁₃	semidirect
1021. #106	C₂³×C₁₃	semidirect
1022. #106	C₂³×C₁₃	semidirect
1023. C₄⋊C₈	C₂³×C₁₃	semidirect
1024. C₄⋊C₈	C₂³×C₁₃	semidirect
1025. #103	C₂³×C₁₃	semidirect
1026. #103	C₂³×C₁₃	semidirect
1027. #103	C₂³×C₁₃	semidirect
1028. #103	C₂³×C₁₃	semidirect
1029. #103	C₂³×C₁₃	semidirect
1030. #103	C₂³×C₁₃	semidirect
1031. #103	C₂³×C₁₃	semidirect
1044. #102	C₂³×C₁₃	semidirect
1047. C₂²⋊C₈	C₂³×C₁₃	semidirect
1048. C₂²⋊C₈	C₂³×C₁₃	semidirect
1049. #97	C₂³×C₁₃	semidirect
1050. C₄×C₈	C₂³×C₁₃	semidirect
1117. C₂×D₄	C₁₃×#41	semidirect
1249. C₁₃	#61156	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×#3475	2
C₂×C₁₃×#546	2
C₁₃×#3323	2
C₁₃×#3322	2
C₁₃×#3319	2
C₁₃×#3314	2
C₁₃×#3311	2
C₁₃×#3306	2
C₁₃×#3297	2
C₁₃×#3296	2
C₁₃×#3140	2
C₁₃×#3095	2
C₁₃×#3094	2
C₁₃×#3077	2
C₁₃×#3056	2
C₁₃×#3055	2
C₁₃×#3040	2
C₁₃×#3005	2
C₁₃×#3003	2
C₄×C₁₃×AGL(1,ℤ/8)	2
D₄×C₁₃×M₁₆	2
C₁₃×#2896	2
C₂×C₁₃×#418	2
#61156	13

Subgroups — C13×#61156 #15747495

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61156 #15747495