Subgroups — C₁₃×#61601 #15747940

Order 3328.

2250 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3520	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×#3311	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3195	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3187	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3003	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2974	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	2	yes	complemented
27	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
28	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
29	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
30	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#554	—	2	1	no	—
32	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#551	—	2	1	no	—
35	C₁₃×#551	—	2	1	no	—
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#546	—	2	1	no	—
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	C₂²	1	2	yes	—
47	C₁₃×#546	C₂²	1	2	yes	—
48	C₁₃×#546	C₂²	1	2	yes	—
49	C₁₃×#546	C₂²	1	2	yes	—
50	C₁₃×#542	—	2	1	no	—
51	C₁₃×#539	—	2	1	no	—
52	C₁₃×#539	—	2	1	no	—
53	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₁₃×#121	—	2	1	no	—
63	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#120	—	2	1	no	—
65	C₁₃×#520	—	2	1	no	—
66	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
68	C₂²×C₁₃×C₂²⋊C₄	—	2	1	no	—
69	C₁₃×#497	C₂²	1	2	yes	complemented
70	C₁₃×#495	C₂²	1	2	yes	complemented
71	C₁₃×#489	C₂²	1	2	yes	complemented
72	C₁₃×#488	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	2	yes	complemented
74	C₁₃×#483	C₂²	1	2	yes	complemented
75	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	2	yes	complemented
80	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#478	C₂²	1	2	yes	complemented
82	C₁₃×#476	C₂²	1	2	yes	complemented
83	C₁₃×#470	C₂²	1	2	yes	complemented
84	C₁₃×#470	C₂²	1	2	yes	complemented
85	C₁₃×#469	C₂²	1	2	yes	complemented
86	C₁₃×#468	C₂²	1	2	yes	complemented
87	C₁₃×#467	C₂²	1	2	yes	complemented
88	C₁₃×#465	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#465	C₂²	1	2	yes	complemented
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#464	C₂²	1	2	yes	complemented
93	C₁₃×#464	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×#452	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	complemented
99	C₁₃×#452	C₂²	1	2	yes	complemented
100	C₁₃×#452	C₂²	1	2	yes	complemented
101	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#451	C₂²	1	2	yes	complemented
104	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#450	C₂²	1	1	yes	characteristic
106	C₁₃×#450	C₂²	1	1	yes	characteristic
107	C₁₃×#450	C₂²	1	1	yes	characteristic
108	C₁₃×#450	C₂²	1	1	yes	characteristic
109	C₁₃×#450	C₂²	1	1	yes	characteristic
110	C₁₃×#450	C₂²	1	1	yes	characteristic
111	C₁₃×#450	C₂²	1	2	yes	complemented
112	C₁₃×#450	C₂²	1	2	yes	complemented
113	C₁₃×#450	C₂²	1	2	yes	complemented
114	C₁₃×#449	C₂²	1	2	yes	complemented
115	C₁₃×#449	C₂²	1	2	yes	complemented
116	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#448	C₂²	1	2	yes	complemented
118	C₁₃×#447	C₂²	1	1	yes	characteristic
119	C₁₃×#447	C₂²	1	1	yes	characteristic
120	C₁₃×#447	C₂²	1	2	yes	complemented
121	C₁₃×#442	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
124	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
125	C₁₃×#436	C₂²	1	2	yes	complemented
126	C₁₃×#435	C₂²	1	2	yes	complemented
127	C₁₃×#435	C₂²	1	2	yes	complemented
128	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
129	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#418	C₂²	1	2	yes	complemented
132	C₁₃×#417	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
135	C₁₃×#407	C₂²	1	1	yes	characteristic
136	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
138	C₂×C₁₃×C₂²⋊C₈	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	—	4	4	no	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂×C₁₃×#41	C₂³	1	2	yes	—
146	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic, complemented
148	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
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	—	2	1	no	—
156	C₂²×D₄×C₁₃	—	4	4	no	—
157	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
158	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
161	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₁₃	—	2	1	no	—
163	C₂³×C₄×C₁₃	—	2	1	no	—
164	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
166	C₁₃×#137	—	4	4	no	—
167	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
168	C₁₃×#135	—	4	4	no	—
169	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
170	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
171	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
172	C₂×C₁₃×SD₁₆	—	4	4	no	—
173	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
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×SD₁₆	C₂³	1	2	yes	—
178	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
179	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
180	C₂×C₁₃×D₈	C₂³	1	2	yes	—
181	C₂×C₁₃×D₈	C₂³	1	2	yes	—
182	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
183	C₂×C₁₃×M₁₆	C₂³	1	2	yes	complemented
184	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
185	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
186	C₁₃×C₄⋊Q₈	—	2	1	no	—
187	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
188	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
189	C₁₃×#126	—	2	1	no	—
190	C₁₃×#126	—	2	1	no	—
191	C₁₃×#126	—	2	1	no	—
192	C₁₃×#126	—	2	1	no	—
193	C₁₃×#126	—	2	1	no	—
194	C₁₃×#125	—	2	1	no	—
195	C₁₃×#125	—	2	1	no	—
196	C₁₃×#125	—	2	1	no	—
197	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
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	—	2	1	no	—
203	C₁₃×#124	C₂³	1	2	yes	—
204	C₁₃×#124	C₂³	1	2	yes	—
205	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
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	1	no	—
211	C₁₃×#123	—	2	2	no	—
212	C₁₃×#123	—	2	2	no	—
213	C₁₃×#123	—	2	2	no	—
214	C₁₃×#123	—	2	2	no	—
215	C₁₃×#123	—	2	1	no	—
216	C₁₃×#123	—	2	1	no	—
217	C₁₃×#123	—	2	1	no	—
218	C₁₃×#123	—	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	—	2	1	no	—
224	C₁₃×C₂²⋊Q₈	—	2	1	no	—
225	C₁₃×C₂²⋊Q₈	—	2	1	no	—
226	C₁₃×C₂²⋊Q₈	—	2	1	no	—
227	C₁₃×C₂²⋊Q₈	—	2	1	no	—
228	C₁₃×C₂²⋊Q₈	—	2	1	no	—
229	C₁₃×C₂²⋊Q₈	—	2	1	no	—
230	C₁₃×C₂²⋊Q₈	—	2	1	no	—
231	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
238	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
239	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
240	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
241	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
242	C₁₃×#121	—	2	1	no	—
243	C₁₃×#121	—	2	1	no	—
244	C₁₃×#121	—	2	1	no	—
245	C₁₃×#121	—	2	1	no	—
246	C₁₃×#121	—	2	1	no	—
247	C₁₃×#121	—	2	2	no	—
248	C₁₃×#121	—	2	2	no	—
249	C₁₃×#121	—	2	2	no	—
250	C₁₃×#121	—	2	2	no	—
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#121	C₂³	1	2	yes	—
254	C₁₃×#121	C₂³	1	2	yes	—
255	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
256	C₁₃×#120	—	2	1	no	—
257	C₁₃×#120	—	2	1	no	—
258	C₁₃×#120	—	2	2	no	—
259	C₁₃×#120	—	2	2	no	—
260	C₁₃×#120	—	2	2	no	—
261	C₁₃×#120	—	2	2	no	—
262	C₄×Q₈×C₁₃	—	2	1	no	—
263	C₄×Q₈×C₁₃	—	2	1	no	—
264	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
265	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
266	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	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	—	2	1	no	—
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	D₄	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, complemented
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	—	2	1	no	—
292	C₁₃×#117	C₂³	1	1	yes	characteristic
293	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
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	D₄	1	1	yes	characteristic
299	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
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	1	no	—
308	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
311	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
312	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
313	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
314	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
315	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
316	C₁₃×#107	C₂³	1	2	yes	complemented
317	C₁₃×#106	C₂³	1	2	yes	complemented
318	C₁₃×#106	C₂³	1	2	yes	complemented
319	C₁₃×#106	C₂³	1	2	yes	complemented
320	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
321	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
322	C₁₃×#103	C₂³	1	2	yes	complemented
323	C₁₃×#103	C₂³	1	2	yes	complemented
324	C₁₃×#103	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×#102	C₂³	1	2	yes	—
330	C₁₃×#102	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
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	complemented
338	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
339	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
340	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
341	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
342	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
343	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
344	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
345	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
346	C₁₃×#97	C₂³	1	2	yes	complemented
347	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
348	#61601	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
349	C₂⁴×C₁₃	—	2	1	no	—
350	C₂⁴×C₁₃	—	2	1	no	—
351	C₂⁴×C₁₃	—	2	2	no	—
352	C₂⁴×C₁₃	—	2	2	no	—
353	C₂⁴×C₁₃	—	4	4	no	—
354	C₂⁴×C₁₃	—	4	4	no	—
355	C₂⁴×C₁₃	—	8	2	no	—
356	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₁₃×#41	—	2	4	no	—
359	C₁₃×#41	—	2	4	no	—
360	C₁₃×#41	—	4	2	no	—
361	C₁₃×#41	—	4	2	no	—
362	C₁₃×#41	—	4	2	no	—
363	C₁₃×#41	—	4	2	no	—
364	C₁₃×#41	—	4	4	no	—
365	C₁₃×#41	—	4	4	no	—
366	C₁₃×#41	—	4	4	no	—
367	C₂×Q₈×C₁₃	—	2	1	no	—
368	C₂×Q₈×C₁₃	—	2	1	no	—
369	C₂×Q₈×C₁₃	—	2	1	no	—
370	C₂×Q₈×C₁₃	—	2	1	no	—
371	C₂×Q₈×C₁₃	—	4	2	no	—
372	C₂×Q₈×C₁₃	—	4	2	no	—
373	C₂×Q₈×C₁₃	—	4	2	no	—
374	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
375	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×D₄×C₁₃	—	2	4	no	—
379	C₂×D₄×C₁₃	—	2	4	no	—
380	C₂×D₄×C₁₃	—	2	4	no	—
381	C₂×D₄×C₁₃	—	2	1	no	—
382	C₂×D₄×C₁₃	—	2	1	no	—
383	C₂×D₄×C₁₃	—	2	1	no	—
384	C₂×D₄×C₁₃	—	2	2	no	—
385	C₂×D₄×C₁₃	—	2	2	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	1	no	—
390	C₂×D₄×C₁₃	—	2	1	no	—
391	C₂×D₄×C₁₃	—	2	2	no	—
392	C₂×D₄×C₁₃	—	2	2	no	—
393	C₂×D₄×C₁₃	—	2	1	no	—
394	C₂×D₄×C₁₃	—	4	2	no	—
395	C₂×D₄×C₁₃	—	4	2	no	—
396	C₂×D₄×C₁₃	—	4	2	no	—
397	C₂×D₄×C₁₃	—	4	2	no	—
398	C₂×D₄×C₁₃	—	4	4	no	—
399	C₂×D₄×C₁₃	—	4	4	no	—
400	C₂×D₄×C₁₃	—	4	4	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	C₂⁴	1	2	yes	—
408	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
410	C₂²×C₄×C₁₃	—	2	1	no	—
411	C₂²×C₄×C₁₃	—	2	1	no	—
412	C₂²×C₄×C₁₃	—	2	1	no	—
413	C₂²×C₄×C₁₃	—	2	1	no	—
414	C₂²×C₄×C₁₃	—	2	1	no	—
415	C₂²×C₄×C₁₃	—	2	1	no	—
416	C₂²×C₄×C₁₃	—	2	2	no	—
417	C₂²×C₄×C₁₃	—	2	2	no	—
418	C₂²×C₄×C₁₃	—	2	1	no	—
419	C₂²×C₄×C₁₃	—	2	2	no	—
420	C₂²×C₄×C₁₃	—	2	2	no	—
421	C₂²×C₄×C₁₃	—	2	1	no	—
422	C₂²×C₄×C₁₃	—	2	1	no	—
423	C₂²×C₄×C₁₃	—	4	2	no	—
424	C₂²×C₄×C₁₃	—	4	2	no	—
425	C₂²×C₄×C₁₃	—	4	4	no	—
426	C₂²×C₄×C₁₃	—	8	2	no	—
427	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
428	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
429	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₁₃×Q₁₆	—	4	2	no	—
441	C₁₃×Q₁₆	—	4	2	no	—
442	C₁₃×Q₁₆	—	4	2	no	—
443	C₁₃×SD₁₆	—	2	4	no	—
444	C₁₃×SD₁₆	—	2	4	no	—
445	C₁₃×SD₁₆	—	2	4	no	—
446	C₁₃×SD₁₆	—	4	2	no	—
447	C₁₃×SD₁₆	—	4	2	no	—
448	C₁₃×SD₁₆	—	4	2	no	—
449	C₁₃×SD₁₆	—	4	2	no	—
450	C₁₃×D₈	—	2	4	no	—
451	C₁₃×D₈	—	4	2	no	—
452	C₁₃×M₁₆	—	4	2	no	—
453	C₁₃×M₁₆	—	4	2	no	—
454	C₂×C₈×C₁₃	—	4	2	no	—
455	C₂×C₈×C₁₃	—	4	2	no	—
456	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	C₁₃×C₄⋊C₄	—	2	1	no	—
461	C₁₃×C₄⋊C₄	—	2	1	no	—
462	C₁₃×C₄⋊C₄	—	2	1	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	2	no	—
469	C₁₃×C₄⋊C₄	—	2	2	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	—	2	1	no	—
481	C₁₃×C₄⋊C₄	—	2	1	no	—
482	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₁₃×C₄⋊C₄	C₂×D₄	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	C₂×D₄	1	1	yes	characteristic
532	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
533	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
535	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
536	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#3323	C₂×C₁₃	1	2	yes	complemented
538	#3311	C₂×C₁₃	1	2	yes	complemented
539	#3306	C₂×C₁₃	1	2	yes	complemented
540	#3296	C₂×C₁₃	1	2	yes	complemented
541	#3282	C₂×C₁₃	1	2	yes	complemented
542	#3275	C₂×C₁₃	1	2	yes	complemented
543	#3267	C₂×C₁₃	1	2	yes	complemented
544	#3266	C₂×C₁₃	1	2	yes	complemented
545	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
546	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
547	#3195	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3190	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3187	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3101	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3003	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
556	C₂×#450	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2974	C₂×C₁₃	1	1	yes	characteristic, complemented
558	C₂³×C₁₃	—	2	4	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	2	2	no	—
561	C₂³×C₁₃	—	2	2	no	—
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	2	2	no	—
565	C₂³×C₁₃	—	4	1	no	—
566	C₂³×C₁₃	—	4	1	no	—
567	C₂³×C₁₃	—	4	1	no	—
568	C₂³×C₁₃	—	4	4	no	—
569	C₂³×C₁₃	—	4	4	no	—
570	C₂³×C₁₃	—	4	2	no	—
571	C₂³×C₁₃	—	4	2	no	—
572	C₂³×C₁₃	—	4	2	no	—
573	C₂³×C₁₃	—	4	4	no	—
574	C₂³×C₁₃	—	4	2	no	—
575	C₂³×C₁₃	—	4	4	no	—
576	C₂³×C₁₃	—	4	2	no	—
577	C₂³×C₁₃	—	8	2	no	—
578	C₂³×C₁₃	—	8	2	no	—
579	C₂³×C₁₃	—	8	16	no	—
580	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
581	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
582	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
583	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
584	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
585	Q₈×C₁₃	—	2	2	no	—
586	Q₈×C₁₃	—	2	2	no	—
587	Q₈×C₁₃	—	2	2	no	—
588	Q₈×C₁₃	—	2	2	no	—
589	Q₈×C₁₃	—	2	2	no	—
590	Q₈×C₁₃	—	4	2	no	—
591	Q₈×C₁₃	—	4	2	no	—
592	Q₈×C₁₃	—	8	1	no	—
593	Q₈×C₁₃	—	8	1	no	—
594	D₄×C₁₃	—	2	4	no	—
595	D₄×C₁₃	—	2	2	no	—
596	D₄×C₁₃	—	2	2	no	—
597	D₄×C₁₃	—	2	2	no	—
598	D₄×C₁₃	—	2	2	no	—
599	D₄×C₁₃	—	2	2	no	—
600	D₄×C₁₃	—	2	2	no	—
601	D₄×C₁₃	—	4	1	no	—
602	D₄×C₁₃	—	4	1	no	—
603	D₄×C₁₃	—	4	4	no	—
604	D₄×C₁₃	—	4	4	no	—
605	D₄×C₁₃	—	4	2	no	—
606	D₄×C₁₃	—	4	4	no	—
607	D₄×C₁₃	—	4	4	no	—
608	D₄×C₁₃	—	4	2	no	—
609	D₄×C₁₃	—	4	2	no	—
610	D₄×C₁₃	—	4	2	no	—
611	D₄×C₁₃	—	8	2	no	—
612	D₄×C₁₃	—	8	2	no	—
613	D₄×C₁₃	—	8	1	no	—
614	D₄×C₁₃	—	8	1	no	—
615	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
616	C₂×C₄×C₁₃	—	2	2	no	—
617	C₂×C₄×C₁₃	—	2	2	no	—
618	C₂×C₄×C₁₃	—	2	2	no	—
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	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	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	2	no	—
629	C₂×C₄×C₁₃	—	2	2	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	4	1	no	—
632	C₂×C₄×C₁₃	—	4	1	no	—
633	C₂×C₄×C₁₃	—	4	1	no	—
634	C₂×C₄×C₁₃	—	4	1	no	—
635	C₂×C₄×C₁₃	—	4	1	no	—
636	C₂×C₄×C₁₃	—	4	1	no	—
637	C₂×C₄×C₁₃	—	4	1	no	—
638	C₂×C₄×C₁₃	—	4	4	no	—
639	C₂×C₄×C₁₃	—	4	4	no	—
640	C₂×C₄×C₁₃	—	4	2	no	—
641	C₂×C₄×C₁₃	—	4	2	no	—
642	C₂×C₄×C₁₃	—	4	2	no	—
643	C₂×C₄×C₁₃	—	4	2	no	—
644	C₂×C₄×C₁₃	—	4	2	no	—
645	C₂×C₄×C₁₃	—	8	2	no	—
646	C₂×C₄×C₁₃	—	8	2	no	—
647	C₂×C₄×C₁₃	—	8	1	no	—
648	C₂×C₄×C₁₃	—	8	1	no	—
649	C₂×C₄×C₁₃	—	8	1	no	—
650	C₂×C₄×C₁₃	—	8	1	no	—
651	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
652	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
653	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
654	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
655	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
656	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
661	C₈×C₁₃	—	2	2	no	—
662	C₈×C₁₃	—	2	2	no	—
663	C₈×C₁₃	—	2	2	no	—
664	C₈×C₁₃	—	2	2	no	—
665	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
666	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
667	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
668	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
669	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
670	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
671	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	#554	—	2	1	no	—
673	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
674	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	#551	—	2	1	no	—
676	#551	—	2	1	no	—
677	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	#546	—	2	1	no	—
683	#546	—	2	1	no	—
684	#546	—	2	1	no	—
685	#546	—	2	1	no	—
686	#546	—	2	1	no	—
687	#546	C₂²×C₁₃	1	2	yes	—
688	#546	C₂²×C₁₃	1	2	yes	—
689	#546	C₂²×C₁₃	1	2	yes	—
690	#546	C₂²×C₁₃	1	2	yes	—
691	#542	—	2	1	no	—
692	#539	—	2	1	no	—
693	#539	—	2	1	no	—
694	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
696	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
697	#525	C₂²×C₁₃	1	1	yes	characteristic
698	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	C₂×#123	—	2	1	no	—
700	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
701	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
702	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	C₂×#121	—	2	1	no	—
704	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
705	C₂×#120	—	2	1	no	—
706	#520	—	2	1	no	—
707	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
708	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
709	C₂²×C₂²⋊C₄	—	2	1	no	—
710	#497	C₂²×C₁₃	1	2	yes	complemented
711	#495	C₂²×C₁₃	1	2	yes	complemented
712	#489	C₂²×C₁₃	1	2	yes	complemented
713	#488	C₂²×C₁₃	1	2	yes	complemented
714	#485	C₂²×C₁₃	1	2	yes	complemented
715	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	#483	C₂²×C₁₃	1	2	yes	complemented
719	#482	C₂²×C₁₃	1	2	yes	complemented
720	#481	C₂²×C₁₃	1	2	yes	complemented
721	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	#478	C₂²×C₁₃	1	2	yes	complemented
723	#476	C₂²×C₁₃	1	2	yes	complemented
724	#470	C₂²×C₁₃	1	2	yes	complemented
725	#470	C₂²×C₁₃	1	2	yes	complemented
726	#469	C₂²×C₁₃	1	2	yes	complemented
727	#468	C₂²×C₁₃	1	2	yes	complemented
728	#467	C₂²×C₁₃	1	2	yes	complemented
729	#465	C₂²×C₁₃	1	2	yes	complemented
730	#465	C₂²×C₁₃	1	2	yes	complemented
731	#465	C₂²×C₁₃	1	2	yes	complemented
732	#464	C₂²×C₁₃	1	2	yes	complemented
733	#464	C₂²×C₁₃	1	2	yes	complemented
734	#464	C₂²×C₁₃	1	2	yes	complemented
735	#463	C₂²×C₁₃	1	2	yes	complemented
736	#463	C₂²×C₁₃	1	2	yes	complemented
737	#461	C₂²×C₁₃	1	2	yes	complemented
738	#452	C₂²×C₁₃	1	2	yes	complemented
739	#452	C₂²×C₁₃	1	2	yes	complemented
740	#452	C₂²×C₁₃	1	2	yes	complemented
741	#452	C₂²×C₁₃	1	2	yes	complemented
742	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
743	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
744	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
745	#451	C₂²×C₁₃	1	2	yes	complemented
746	#450	C₂²×C₁₃	1	1	yes	characteristic
747	#450	C₂²×C₁₃	1	1	yes	characteristic
748	#450	C₂²×C₁₃	1	1	yes	characteristic
749	#450	C₂²×C₁₃	1	1	yes	characteristic
750	#450	C₂²×C₁₃	1	1	yes	characteristic
751	#450	C₂²×C₁₃	1	1	yes	characteristic
752	#450	C₂²×C₁₃	1	2	yes	complemented
753	#450	C₂²×C₁₃	1	2	yes	complemented
754	#450	C₂²×C₁₃	1	2	yes	complemented
755	#449	C₂²×C₁₃	1	2	yes	complemented
756	#449	C₂²×C₁₃	1	2	yes	complemented
757	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	#448	C₂²×C₁₃	1	2	yes	complemented
759	#447	C₂²×C₁₃	1	1	yes	characteristic
760	#447	C₂²×C₁₃	1	1	yes	characteristic
761	#447	C₂²×C₁₃	1	2	yes	complemented
762	#442	C₂²×C₁₃	1	2	yes	complemented
763	#440	C₂²×C₁₃	1	2	yes	complemented
764	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
765	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
766	#436	C₂²×C₁₃	1	2	yes	complemented
767	#435	C₂²×C₁₃	1	2	yes	complemented
768	#435	C₂²×C₁₃	1	2	yes	complemented
769	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
770	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
771	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#418	C₂²×C₁₃	1	2	yes	complemented
773	#417	C₂²×C₁₃	1	2	yes	complemented
774	#416	C₂²×C₁₃	1	2	yes	complemented
775	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
776	#407	C₂²×C₁₃	1	1	yes	characteristic
777	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
778	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
779	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	C₂²×C₁₃	—	2	1	no	—
781	C₂²×C₁₃	—	2	1	no	—
782	C₂²×C₁₃	—	2	1	no	—
783	C₂²×C₁₃	—	2	1	no	—
784	C₂²×C₁₃	—	2	1	no	—
785	C₂²×C₁₃	—	2	1	no	—
786	C₂²×C₁₃	—	2	1	no	—
787	C₂²×C₁₃	—	2	4	no	—
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	—	4	4	no	—
795	C₂²×C₁₃	—	4	8	no	—
796	C₂²×C₁₃	—	4	2	no	—
797	C₂²×C₁₃	—	4	2	no	—
798	C₂²×C₁₃	—	4	1	no	—
799	C₂²×C₁₃	—	4	2	no	—
800	C₂²×C₁₃	—	4	1	no	—
801	C₂²×C₁₃	—	4	2	no	—
802	C₂²×C₁₃	—	4	1	no	—
803	C₂²×C₁₃	—	4	2	no	—
804	C₂²×C₁₃	—	8	2	no	—
805	C₂²×C₁₃	—	8	8	no	—
806	C₂²×C₁₃	—	8	4	no	—
807	C₂²×C₁₃	—	8	8	no	—
808	C₂²×C₁₃	#575	1	2	yes	—
809	C₂²×C₁₃	#577	1	2	yes	—
810	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
811	C₄×C₁₃	—	2	1	no	—
812	C₄×C₁₃	—	2	1	no	—
813	C₄×C₁₃	—	2	1	no	—
814	C₄×C₁₃	—	2	1	no	—
815	C₄×C₁₃	—	2	1	no	—
816	C₄×C₁₃	—	2	1	no	—
817	C₄×C₁₃	—	2	1	no	—
818	C₄×C₁₃	—	2	1	no	—
819	C₄×C₁₃	—	2	1	no	—
820	C₄×C₁₃	—	4	2	no	—
821	C₄×C₁₃	—	4	1	no	—
822	C₄×C₁₃	—	4	1	no	—
823	C₄×C₁₃	—	4	1	no	—
824	C₄×C₁₃	—	4	1	no	—
825	C₄×C₁₃	—	4	1	no	—
826	C₄×C₁₃	—	4	1	no	—
827	C₄×C₁₃	—	4	2	no	—
828	C₄×C₁₃	—	4	1	no	—
829	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
830	C₂⁵	—	2	1	no	—
831	C₂×#41	—	2	1	no	—
832	C₂×#41	—	2	1	no	—
833	C₂×#41	—	2	1	no	—
834	C₂×#41	—	4	4	no	—
835	C₂×#41	C₂³×C₁₃	1	2	yes	—
836	C₂×#41	C₂³×C₁₃	1	2	yes	—
837	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
838	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic, complemented
839	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
840	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
841	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
842	C₂²×D₄	—	2	1	no	—
843	C₂²×D₄	—	2	1	no	—
844	C₂²×D₄	—	2	1	no	—
845	C₂²×D₄	—	2	1	no	—
846	C₂²×D₄	—	2	1	no	—
847	C₂²×D₄	—	4	4	no	—
848	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
849	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
850	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
851	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
852	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
853	C₂³×C₄	—	2	1	no	—
854	C₂³×C₄	—	2	1	no	—
855	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
856	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
857	#137	—	4	4	no	—
858	AGL(1,ℤ/8)	—	4	4	no	—
859	#135	—	4	4	no	—
860	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
861	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
862	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
863	C₂×SD₁₆	—	4	4	no	—
864	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
865	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
866	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
867	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
868	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
869	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
870	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
871	C₂×D₈	C₂³×C₁₃	1	2	yes	—
872	C₂×D₈	C₂³×C₁₃	1	2	yes	—
873	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
874	C₂×M₁₆	C₂³×C₁₃	1	2	yes	complemented
875	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
876	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
877	C₄⋊Q₈	—	2	1	no	—
878	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
879	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
880	#126	—	2	1	no	—
881	#126	—	2	1	no	—
882	#126	—	2	1	no	—
883	#126	—	2	1	no	—
884	#126	—	2	1	no	—
885	#125	—	2	1	no	—
886	#125	—	2	1	no	—
887	#125	—	2	1	no	—
888	#125	C₂³×C₁₃	1	1	yes	characteristic, complemented
889	#124	—	2	1	no	—
890	#124	—	2	1	no	—
891	#124	—	2	1	no	—
892	#124	—	2	1	no	—
893	#124	—	2	1	no	—
894	#124	C₂³×C₁₃	1	2	yes	—
895	#124	C₂³×C₁₃	1	2	yes	—
896	#124	C₂³×C₁₃	1	1	yes	characteristic, complemented
897	#123	—	2	1	no	—
898	#123	—	2	1	no	—
899	#123	—	2	1	no	—
900	#123	—	2	1	no	—
901	#123	—	2	1	no	—
902	#123	—	2	2	no	—
903	#123	—	2	2	no	—
904	#123	—	2	2	no	—
905	#123	—	2	2	no	—
906	#123	—	2	1	no	—
907	#123	—	2	1	no	—
908	#123	—	2	1	no	—
909	#123	—	2	1	no	—
910	C₂²⋊Q₈	—	2	1	no	—
911	C₂²⋊Q₈	—	2	1	no	—
912	C₂²⋊Q₈	—	2	1	no	—
913	C₂²⋊Q₈	—	2	1	no	—
914	C₂²⋊Q₈	—	2	1	no	—
915	C₂²⋊Q₈	—	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	C₂³×C₁₃	1	1	yes	characteristic
923	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
924	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
925	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
926	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
927	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
928	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
929	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
930	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
931	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
932	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
933	#121	—	2	1	no	—
934	#121	—	2	1	no	—
935	#121	—	2	1	no	—
936	#121	—	2	1	no	—
937	#121	—	2	1	no	—
938	#121	—	2	2	no	—
939	#121	—	2	2	no	—
940	#121	—	2	2	no	—
941	#121	—	2	2	no	—
942	#121	C₂³×C₁₃	1	2	yes	—
943	#121	C₂³×C₁₃	1	2	yes	—
944	#121	C₂³×C₁₃	1	1	yes	characteristic
945	#121	C₂³×C₁₃	1	1	yes	characteristic
946	#121	C₂³×C₁₃	1	1	yes	characteristic, complemented
947	#120	—	2	1	no	—
948	#120	—	2	1	no	—
949	#120	—	2	2	no	—
950	#120	—	2	2	no	—
951	#120	—	2	2	no	—
952	#120	—	2	2	no	—
953	C₄×Q₈	—	2	1	no	—
954	C₄×Q₈	—	2	1	no	—
955	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
956	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
957	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
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	—	2	1	no	—
967	C₄×D₄	—	2	1	no	—
968	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
969	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
970	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
971	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
972	C₄×D₄	C₂³×C₁₃	1	2	yes	—
973	C₄×D₄	C₂³×C₁₃	1	2	yes	—
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
977	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
978	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
979	#117	—	2	1	no	—
980	#117	—	2	1	no	—
981	#117	—	2	1	no	—
982	#117	—	2	1	no	—
983	#117	C₂³×C₁₃	1	1	yes	characteristic
984	#117	C₂³×C₁₃	1	1	yes	characteristic, complemented
985	C₂×C₄⋊C₄	—	2	1	no	—
986	C₂×C₄⋊C₄	—	2	1	no	—
987	C₂×C₄⋊C₄	—	2	1	no	—
988	C₂×C₄⋊C₄	—	2	1	no	—
989	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
993	C₂×C₂²⋊C₄	—	2	1	no	—
994	C₂×C₂²⋊C₄	—	2	1	no	—
995	C₂×C₂²⋊C₄	—	2	1	no	—
996	C₂×C₂²⋊C₄	—	2	1	no	—
997	C₂×C₂²⋊C₄	—	2	1	no	—
998	C₂×C₂²⋊C₄	—	2	1	no	—
999	C₂×C₂²⋊C₄	—	2	1	no	—
1000	C₂×C₂²⋊C₄	—	2	2	no	—
1001	C₂×C₂²⋊C₄	—	2	2	no	—
1002	C₂×C₂²⋊C₄	—	2	2	no	—
1003	C₂×C₂²⋊C₄	—	2	2	no	—
1004	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1006	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1007	#107	C₂³×C₁₃	1	2	yes	complemented
1008	#106	C₂³×C₁₃	1	2	yes	complemented
1009	#106	C₂³×C₁₃	1	2	yes	complemented
1010	#106	C₂³×C₁₃	1	2	yes	complemented
1011	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1012	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1013	#103	C₂³×C₁₃	1	2	yes	complemented
1014	#103	C₂³×C₁₃	1	2	yes	complemented
1015	#103	C₂³×C₁₃	1	2	yes	complemented
1016	#103	C₂³×C₁₃	1	2	yes	complemented
1017	#103	C₂³×C₁₃	1	2	yes	complemented
1018	#103	C₂³×C₁₃	1	2	yes	complemented
1019	#103	C₂³×C₁₃	1	2	yes	complemented
1020	#102	C₂³×C₁₃	1	2	yes	—
1021	#102	C₂³×C₁₃	1	2	yes	—
1022	#102	C₂³×C₁₃	1	2	yes	—
1023	#102	C₂³×C₁₃	1	2	yes	—
1024	#102	C₂³×C₁₃	1	2	yes	—
1025	#102	C₂³×C₁₃	1	2	yes	—
1026	#102	C₂³×C₁₃	1	2	yes	—
1027	#102	C₂³×C₁₃	1	2	yes	—
1028	#102	C₂³×C₁₃	1	2	yes	complemented
1029	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1032	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1035	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1036	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1037	#97	C₂³×C₁₃	1	2	yes	complemented
1038	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
1039	C₂×C₁₃	—	2	2	no	—
1040	C₂×C₁₃	—	2	2	no	—
1041	C₂×C₁₃	—	4	1	no	—
1042	C₂×C₁₃	—	4	1	no	—
1043	C₂×C₁₃	—	4	1	no	—
1044	C₂×C₁₃	—	4	4	no	—
1045	C₂×C₁₃	—	8	1	no	—
1046	C₂×C₁₃	—	8	2	no	—
1047	C₂×C₁₃	#3484	1	1	yes	characteristic
1048	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1049	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1050	C₂⁴	—	2	1	no	—
1051	C₂⁴	—	2	1	no	—
1052	C₂⁴	—	2	2	no	—
1053	C₂⁴	—	2	2	no	—
1054	C₂⁴	—	4	4	no	—
1055	C₂⁴	—	4	4	no	—
1056	C₂⁴	—	8	2	no	—
1057	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	#41	—	2	4	no	—
1060	#41	—	2	4	no	—
1061	#41	—	4	2	no	—
1062	#41	—	4	2	no	—
1063	#41	—	4	2	no	—
1064	#41	—	4	2	no	—
1065	#41	—	4	4	no	—
1066	#41	—	4	4	no	—
1067	#41	—	4	4	no	—
1068	C₂×Q₈	—	2	1	no	—
1069	C₂×Q₈	—	2	1	no	—
1070	C₂×Q₈	—	2	1	no	—
1071	C₂×Q₈	—	2	1	no	—
1072	C₂×Q₈	—	4	2	no	—
1073	C₂×Q₈	—	4	2	no	—
1074	C₂×Q₈	—	4	2	no	—
1075	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1076	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1077	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1078	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1079	C₂×D₄	—	2	4	no	—
1080	C₂×D₄	—	2	4	no	—
1081	C₂×D₄	—	2	4	no	—
1082	C₂×D₄	—	2	1	no	—
1083	C₂×D₄	—	2	1	no	—
1084	C₂×D₄	—	2	1	no	—
1085	C₂×D₄	—	2	2	no	—
1086	C₂×D₄	—	2	2	no	—
1087	C₂×D₄	—	2	2	no	—
1088	C₂×D₄	—	2	2	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	—	4	2	no	—
1096	C₂×D₄	—	4	2	no	—
1097	C₂×D₄	—	4	2	no	—
1098	C₂×D₄	—	4	2	no	—
1099	C₂×D₄	—	4	4	no	—
1100	C₂×D₄	—	4	4	no	—
1101	C₂×D₄	—	4	4	no	—
1102	C₂×D₄	—	4	4	no	—
1103	C₂×D₄	—	8	2	no	—
1104	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1105	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1106	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1107	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1108	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1109	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1110	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1111	C₂²×C₄	—	2	1	no	—
1112	C₂²×C₄	—	2	1	no	—
1113	C₂²×C₄	—	2	1	no	—
1114	C₂²×C₄	—	2	1	no	—
1115	C₂²×C₄	—	2	1	no	—
1116	C₂²×C₄	—	2	1	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	2	2	no	—
1119	C₂²×C₄	—	2	1	no	—
1120	C₂²×C₄	—	2	2	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	1	no	—
1123	C₂²×C₄	—	2	1	no	—
1124	C₂²×C₄	—	4	2	no	—
1125	C₂²×C₄	—	4	2	no	—
1126	C₂²×C₄	—	4	4	no	—
1127	C₂²×C₄	—	8	2	no	—
1128	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1131	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1132	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1133	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1134	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1141	Q₁₆	—	4	2	no	—
1142	Q₁₆	—	4	2	no	—
1143	Q₁₆	—	4	2	no	—
1144	SD₁₆	—	2	4	no	—
1145	SD₁₆	—	2	4	no	—
1146	SD₁₆	—	2	4	no	—
1147	SD₁₆	—	4	2	no	—
1148	SD₁₆	—	4	2	no	—
1149	SD₁₆	—	4	2	no	—
1150	SD₁₆	—	4	2	no	—
1151	D₈	—	2	4	no	—
1152	D₈	—	4	2	no	—
1153	M₁₆	—	4	2	no	—
1154	M₁₆	—	4	2	no	—
1155	C₂×C₈	—	4	2	no	—
1156	C₂×C₈	—	4	2	no	—
1157	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1158	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1159	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1160	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1161	C₄⋊C₄	—	2	1	no	—
1162	C₄⋊C₄	—	2	1	no	—
1163	C₄⋊C₄	—	2	1	no	—
1164	C₄⋊C₄	—	2	1	no	—
1165	C₄⋊C₄	—	2	1	no	—
1166	C₄⋊C₄	—	2	1	no	—
1167	C₄⋊C₄	—	2	1	no	—
1168	C₄⋊C₄	—	2	1	no	—
1169	C₄⋊C₄	—	2	2	no	—
1170	C₄⋊C₄	—	2	2	no	—
1171	C₄⋊C₄	—	2	1	no	—
1172	C₄⋊C₄	—	2	1	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	C₂×D₄×C₁₃	1	1	yes	characteristic
1184	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1185	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1186	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1187	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1188	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1189	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1190	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1191	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1192	C₂²⋊C₄	—	2	2	no	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	2	1	no	—
1195	C₂²⋊C₄	—	2	1	no	—
1196	C₂²⋊C₄	—	2	1	no	—
1197	C₂²⋊C₄	—	2	1	no	—
1198	C₂²⋊C₄	—	2	1	no	—
1199	C₂²⋊C₄	—	2	1	no	—
1200	C₂²⋊C₄	—	2	1	no	—
1201	C₂²⋊C₄	—	2	1	no	—
1202	C₂²⋊C₄	—	2	1	no	—
1203	C₂²⋊C₄	—	2	1	no	—
1204	C₂²⋊C₄	—	2	1	no	—
1205	C₂²⋊C₄	—	2	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	1	no	—
1214	C₂²⋊C₄	—	2	1	no	—
1215	C₂²⋊C₄	—	2	1	no	—
1216	C₂²⋊C₄	—	2	1	no	—
1217	C₂²⋊C₄	—	2	1	no	—
1218	C₂²⋊C₄	—	2	1	no	—
1219	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1220	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1221	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1222	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1223	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1224	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1225	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1226	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1227	C₄²	—	2	1	no	—
1228	C₄²	—	2	1	no	—
1229	C₄²	—	2	1	no	—
1230	C₄²	—	2	1	no	—
1231	C₄²	—	2	1	no	—
1232	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1233	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1234	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1235	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1236	C₁₃	#61601	1	1	yes	characteristic, direct product factor, Sylow
1237	C₂³	—	2	4	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	2	no	—
1244	C₂³	—	4	1	no	—
1245	C₂³	—	4	1	no	—
1246	C₂³	—	4	1	no	—
1247	C₂³	—	4	4	no	—
1248	C₂³	—	4	4	no	—
1249	C₂³	—	4	2	no	—
1250	C₂³	—	4	2	no	—
1251	C₂³	—	4	2	no	—
1252	C₂³	—	4	4	no	—
1253	C₂³	—	4	2	no	—
1254	C₂³	—	4	4	no	—
1255	C₂³	—	4	2	no	—
1256	C₂³	—	8	2	no	—
1257	C₂³	—	8	2	no	—
1258	C₂³	—	8	16	no	—
1259	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1260	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1261	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1262	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1263	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1264	Q₈	—	2	2	no	—
1265	Q₈	—	2	2	no	—
1266	Q₈	—	2	2	no	—
1267	Q₈	—	2	2	no	—
1268	Q₈	—	2	2	no	—
1269	Q₈	—	4	2	no	—
1270	Q₈	—	4	2	no	—
1271	Q₈	—	8	1	no	—
1272	Q₈	—	8	1	no	—
1273	D₄	—	2	4	no	—
1274	D₄	—	2	2	no	—
1275	D₄	—	2	2	no	—
1276	D₄	—	2	2	no	—
1277	D₄	—	2	2	no	—
1278	D₄	—	2	2	no	—
1279	D₄	—	2	2	no	—
1280	D₄	—	4	1	no	—
1281	D₄	—	4	1	no	—
1282	D₄	—	4	4	no	—
1283	D₄	—	4	4	no	—
1284	D₄	—	4	2	no	—
1285	D₄	—	4	4	no	—
1286	D₄	—	4	4	no	—
1287	D₄	—	4	2	no	—
1288	D₄	—	4	2	no	—
1289	D₄	—	4	2	no	—
1290	D₄	—	8	2	no	—
1291	D₄	—	8	2	no	—
1292	D₄	—	8	1	no	—
1293	D₄	—	8	1	no	—
1294	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	4	1	no	—
1311	C₂×C₄	—	4	1	no	—
1312	C₂×C₄	—	4	1	no	—
1313	C₂×C₄	—	4	1	no	—
1314	C₂×C₄	—	4	1	no	—
1315	C₂×C₄	—	4	1	no	—
1316	C₂×C₄	—	4	1	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	2	no	—
1320	C₂×C₄	—	4	2	no	—
1321	C₂×C₄	—	4	2	no	—
1322	C₂×C₄	—	4	2	no	—
1323	C₂×C₄	—	4	2	no	—
1324	C₂×C₄	—	8	2	no	—
1325	C₂×C₄	—	8	2	no	—
1326	C₂×C₄	—	8	1	no	—
1327	C₂×C₄	—	8	1	no	—
1328	C₂×C₄	—	8	1	no	—
1329	C₂×C₄	—	8	1	no	—
1330	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1331	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1332	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1333	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1334	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1335	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1336	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1337	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1338	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1339	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1340	C₈	—	2	2	no	—
1341	C₈	—	2	2	no	—
1342	C₈	—	2	2	no	—
1343	C₈	—	2	2	no	—
1344	C₂²	—	2	1	no	—
1345	C₂²	—	2	1	no	—
1346	C₂²	—	2	1	no	—
1347	C₂²	—	2	1	no	—
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	1	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	2	4	no	—
1358	C₂²	—	4	4	no	—
1359	C₂²	—	4	8	no	—
1360	C₂²	—	4	2	no	—
1361	C₂²	—	4	2	no	—
1362	C₂²	—	4	1	no	—
1363	C₂²	—	4	2	no	—
1364	C₂²	—	4	1	no	—
1365	C₂²	—	4	2	no	—
1366	C₂²	—	4	1	no	—
1367	C₂²	—	4	2	no	—
1368	C₂²	—	8	2	no	—
1369	C₂²	—	8	8	no	—
1370	C₂²	—	8	4	no	—
1371	C₂²	—	8	8	no	—
1372	C₂²	C₁₃×#575	1	2	yes	—
1373	C₂²	C₁₃×#577	1	2	yes	—
1374	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1375	C₄	—	2	1	no	—
1376	C₄	—	2	1	no	—
1377	C₄	—	2	1	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	1	no	—
1380	C₄	—	2	1	no	—
1381	C₄	—	2	1	no	—
1382	C₄	—	2	1	no	—
1383	C₄	—	2	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	2	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	4	2	no	—
1390	C₄	—	4	1	no	—
1391	C₄	—	4	1	no	—
1392	C₄	—	4	1	no	—
1393	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1394	C₂	—	2	2	no	—
1395	C₂	—	2	2	no	—
1396	C₂	—	4	1	no	—
1397	C₂	—	4	1	no	—
1398	C₂	—	4	1	no	—
1399	C₂	—	4	4	no	—
1400	C₂	—	8	2	no	—
1401	C₂	—	8	1	no	—
1402	C₂	C₁₃×#3484	1	1	yes	characteristic
1403	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1404	C₂	C₂×C₁₃×#577	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×#3520	C₂	semidirect
2. C₂×C₁₃×#546	C₂	semidirect
3. C₁₃×#3323	C₂	semidirect
4. C₁₃×#3311	C₂	semidirect
5. C₁₃×#3306	C₂	semidirect
6. C₁₃×#3296	C₂	semidirect
7. C₁₃×#3282	C₂	semidirect
8. C₁₃×#3275	C₂	semidirect
9. C₁₃×#3267	C₂	semidirect
10. C₁₃×#3266	C₂	semidirect
11. C₁₃×#3215	C₂	semidirect
12. C₁₃×#3211	C₂	semidirect
13. C₁₃×#3195	C₂	semidirect
14. C₁₃×#3194	C₂	semidirect
15. C₁₃×#3190	C₂	semidirect
16. C₁₃×#3187	C₂	semidirect
17. C₁₃×#3114	C₂	semidirect
18. C₁₃×#3101	C₂	semidirect
19. C₁₃×#3007	C₂	semidirect
20. C₁₃×#3003	C₂	semidirect
21. C₁₃×#3002	C₂	semidirect
22. C₂×C₁₃×#450	C₂	semidirect
23. C₁₃×#2974	C₂	semidirect
26. C₂×C₁₃×#137	C₂²	semidirect
27. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
28. C₂×C₁₃×#135	C₂²	semidirect
29. C₂²×C₁₃×SD₁₆	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
32. C₁₃×#552	C₂²	semidirect
33. C₁₃×#552	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
37. C₁₃×#548	C₂²	semidirect
38. C₁₃×#548	C₂²	semidirect
39. C₁₃×#547	C₂²	semidirect
40. C₁₃×#547	C₂²	semidirect
53. C₁₃×#533	C₂²	semidirect
54. C₁₃×#529	C₂²	semidirect
57. C₁₃×#525	C₂²	semidirect
61. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
69. C₁₃×#497	C₂²	semidirect
70. C₁₃×#495	C₂²	semidirect
71. C₁₃×#489	C₂²	semidirect
72. C₁₃×#488	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
74. C₁₃×#483	C₂²	semidirect
75. C₁₃×#483	C₂²	semidirect
76. C₁₃×#483	C₂²	semidirect
77. C₁₃×#483	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#480	C₂²	semidirect
81. C₁₃×#478	C₂²	semidirect
82. C₁₃×#476	C₂²	semidirect
83. C₁₃×#470	C₂²	semidirect
84. C₁₃×#470	C₂²	semidirect
85. C₁₃×#469	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#464	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₁₃×#463	C₂²	semidirect
96. C₁₃×#461	C₂²	semidirect
97. C₁₃×#452	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#452	C₂²	semidirect
100. C₁₃×#452	C₂²	semidirect
101. C₁₃×#451	C₂²	semidirect
102. C₁₃×#451	C₂²	semidirect
103. C₁₃×#451	C₂²	semidirect
104. C₁₃×#451	C₂²	semidirect
111. C₁₃×#450	C₂²	semidirect
112. C₁₃×#450	C₂²	semidirect
113. C₁₃×#450	C₂²	semidirect
114. C₁₃×#449	C₂²	semidirect
115. C₁₃×#449	C₂²	semidirect
116. C₁₃×#448	C₂²	semidirect
117. C₁₃×#448	C₂²	semidirect
120. C₁₃×#447	C₂²	semidirect
121. C₁₃×#442	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₄×C₁₃×SD₁₆	C₂²	semidirect
124. C₄×C₁₃×SD₁₆	C₂²	semidirect
125. C₁₃×#436	C₂²	semidirect
126. C₁₃×#435	C₂²	semidirect
127. C₁₃×#435	C₂²	semidirect
128. C₈×D₄×C₁₃	C₂²	semidirect
129. C₁₃×#432	C₂²	semidirect
130. C₁₃×#431	C₂²	semidirect
131. C₁₃×#418	C₂²	semidirect
132. C₁₃×#417	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
134. C₂×C₁₃×#102	C₂²	semidirect
136. C₁₃×#407	C₂²	semidirect
138. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
147. C₂×C₁₃×#41	C₂³	semidirect
150. C₂²×Q₈×C₁₃	C₂³	semidirect
169. C₂×C₁₃×Q₁₆	C₂³	semidirect
170. C₂×C₁₃×Q₁₆	C₂³	semidirect
171. C₂×C₁₃×Q₁₆	C₂³	semidirect
179. C₂×C₁₃×SD₁₆	C₂³	semidirect
183. C₂×C₁₃×M₁₆	C₂³	semidirect
185. C₂²×C₈×C₁₃	C₂³	semidirect
187. C₁₃×C₄⋊Q₈	C₂³	semidirect
188. C₁₃×C₄⋊Q₈	C₂³	semidirect
197. C₁₃×#125	C₂³	semidirect
205. C₁₃×#124	C₂³	semidirect
239. C₁₃×C₂²⋊Q₈	C₂³	semidirect
240. C₁₃×C₂²⋊Q₈	C₂³	semidirect
241. C₁₃×C₂²⋊Q₈	C₂³	semidirect
255. C₁₃×#121	C₂³	semidirect
264. C₄×Q₈×C₁₃	C₂³	semidirect
265. C₄×Q₈×C₁₃	C₂³	semidirect
266. C₄×Q₈×C₁₃	C₂³	semidirect
287. C₄×D₄×C₁₃	C₂³	semidirect
293. C₁₃×#117	C₂³	semidirect
301. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
316. C₁₃×#107	C₂³	semidirect
317. C₁₃×#106	C₂³	semidirect
318. C₁₃×#106	C₂³	semidirect
319. C₁₃×#106	C₂³	semidirect
320. C₁₃×C₄⋊C₈	C₂³	semidirect
321. C₁₃×C₄⋊C₈	C₂³	semidirect
322. C₁₃×#103	C₂³	semidirect
323. C₁₃×#103	C₂³	semidirect
324. C₁₃×#103	C₂³	semidirect
325. C₁₃×#103	C₂³	semidirect
326. C₁₃×#103	C₂³	semidirect
327. C₁₃×#103	C₂³	semidirect
328. C₁₃×#103	C₂³	semidirect
337. C₁₃×#102	C₂³	semidirect
344. C₁₃×C₂²⋊C₈	C₂³	semidirect
345. C₁₃×C₂²⋊C₈	C₂³	semidirect
346. C₁₃×#97	C₂³	semidirect
347. C₄×C₈×C₁₃	C₂³	semidirect
348. #61601	C₁₃	direct (N × H)
535. #3520	C₂×C₁₃	semidirect
536. C₂×#546	C₂×C₁₃	semidirect
537. #3323	C₂×C₁₃	semidirect
538. #3311	C₂×C₁₃	semidirect
539. #3306	C₂×C₁₃	semidirect
540. #3296	C₂×C₁₃	semidirect
541. #3282	C₂×C₁₃	semidirect
542. #3275	C₂×C₁₃	semidirect
543. #3267	C₂×C₁₃	semidirect
544. #3266	C₂×C₁₃	semidirect
545. #3215	C₂×C₁₃	semidirect
546. #3211	C₂×C₁₃	semidirect
547. #3195	C₂×C₁₃	semidirect
548. #3194	C₂×C₁₃	semidirect
549. #3190	C₂×C₁₃	semidirect
550. #3187	C₂×C₁₃	semidirect
551. #3114	C₂×C₁₃	semidirect
552. #3101	C₂×C₁₃	semidirect
553. #3007	C₂×C₁₃	semidirect
554. #3003	C₂×C₁₃	semidirect
555. #3002	C₂×C₁₃	semidirect
556. C₂×#450	C₂×C₁₃	semidirect
557. #2974	C₂×C₁₃	semidirect
667. C₂×#137	C₂²×C₁₃	semidirect
668. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
669. C₂×#135	C₂²×C₁₃	semidirect
670. C₂²×SD₁₆	C₂²×C₁₃	semidirect
671. #556	C₂²×C₁₃	semidirect
673. #552	C₂²×C₁₃	semidirect
674. #552	C₂²×C₁₃	semidirect
677. D₄×Q₈	C₂²×C₁₃	semidirect
678. #548	C₂²×C₁₃	semidirect
679. #548	C₂²×C₁₃	semidirect
680. #547	C₂²×C₁₃	semidirect
681. #547	C₂²×C₁₃	semidirect
694. #533	C₂²×C₁₃	semidirect
695. #529	C₂²×C₁₃	semidirect
698. #525	C₂²×C₁₃	semidirect
702. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
710. #497	C₂²×C₁₃	semidirect
711. #495	C₂²×C₁₃	semidirect
712. #489	C₂²×C₁₃	semidirect
713. #488	C₂²×C₁₃	semidirect
714. #485	C₂²×C₁₃	semidirect
715. #483	C₂²×C₁₃	semidirect
716. #483	C₂²×C₁₃	semidirect
717. #483	C₂²×C₁₃	semidirect
718. #483	C₂²×C₁₃	semidirect
719. #482	C₂²×C₁₃	semidirect
720. #481	C₂²×C₁₃	semidirect
721. #480	C₂²×C₁₃	semidirect
722. #478	C₂²×C₁₃	semidirect
723. #476	C₂²×C₁₃	semidirect
724. #470	C₂²×C₁₃	semidirect
725. #470	C₂²×C₁₃	semidirect
726. #469	C₂²×C₁₃	semidirect
727. #468	C₂²×C₁₃	semidirect
728. #467	C₂²×C₁₃	semidirect
729. #465	C₂²×C₁₃	semidirect
730. #465	C₂²×C₁₃	semidirect
731. #465	C₂²×C₁₃	semidirect
732. #464	C₂²×C₁₃	semidirect
733. #464	C₂²×C₁₃	semidirect
734. #464	C₂²×C₁₃	semidirect
735. #463	C₂²×C₁₃	semidirect
736. #463	C₂²×C₁₃	semidirect
737. #461	C₂²×C₁₃	semidirect
738. #452	C₂²×C₁₃	semidirect
739. #452	C₂²×C₁₃	semidirect
740. #452	C₂²×C₁₃	semidirect
741. #452	C₂²×C₁₃	semidirect
742. #451	C₂²×C₁₃	semidirect
743. #451	C₂²×C₁₃	semidirect
744. #451	C₂²×C₁₃	semidirect
745. #451	C₂²×C₁₃	semidirect
752. #450	C₂²×C₁₃	semidirect
753. #450	C₂²×C₁₃	semidirect
754. #450	C₂²×C₁₃	semidirect
755. #449	C₂²×C₁₃	semidirect
756. #449	C₂²×C₁₃	semidirect
757. #448	C₂²×C₁₃	semidirect
758. #448	C₂²×C₁₃	semidirect
761. #447	C₂²×C₁₃	semidirect
762. #442	C₂²×C₁₃	semidirect
763. #440	C₂²×C₁₃	semidirect
764. C₄×SD₁₆	C₂²×C₁₃	semidirect
765. C₄×SD₁₆	C₂²×C₁₃	semidirect
766. #436	C₂²×C₁₃	semidirect
767. #435	C₂²×C₁₃	semidirect
768. #435	C₂²×C₁₃	semidirect
769. C₈×D₄	C₂²×C₁₃	semidirect
770. #432	C₂²×C₁₃	semidirect
771. #431	C₂²×C₁₃	semidirect
772. #418	C₂²×C₁₃	semidirect
773. #417	C₂²×C₁₃	semidirect
774. #416	C₂²×C₁₃	semidirect
775. C₂×#102	C₂²×C₁₃	semidirect
777. #407	C₂²×C₁₃	semidirect
779. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
838. C₂×#41	C₂³×C₁₃	semidirect
841. C₂²×Q₈	C₂³×C₁₃	semidirect
860. C₂×Q₁₆	C₂³×C₁₃	semidirect
861. C₂×Q₁₆	C₂³×C₁₃	semidirect
862. C₂×Q₁₆	C₂³×C₁₃	semidirect
870. C₂×SD₁₆	C₂³×C₁₃	semidirect
874. C₂×M₁₆	C₂³×C₁₃	semidirect
876. C₂²×C₈	C₂³×C₁₃	semidirect
878. C₄⋊Q₈	C₂³×C₁₃	semidirect
879. C₄⋊Q₈	C₂³×C₁₃	semidirect
888. #125	C₂³×C₁₃	semidirect
896. #124	C₂³×C₁₃	semidirect
930. C₂²⋊Q₈	C₂³×C₁₃	semidirect
931. C₂²⋊Q₈	C₂³×C₁₃	semidirect
932. C₂²⋊Q₈	C₂³×C₁₃	semidirect
946. #121	C₂³×C₁₃	semidirect
955. C₄×Q₈	C₂³×C₁₃	semidirect
956. C₄×Q₈	C₂³×C₁₃	semidirect
957. C₄×Q₈	C₂³×C₁₃	semidirect
978. C₄×D₄	C₂³×C₁₃	semidirect
984. #117	C₂³×C₁₃	semidirect
992. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
1007. #107	C₂³×C₁₃	semidirect
1008. #106	C₂³×C₁₃	semidirect
1009. #106	C₂³×C₁₃	semidirect
1010. #106	C₂³×C₁₃	semidirect
1011. C₄⋊C₈	C₂³×C₁₃	semidirect
1012. C₄⋊C₈	C₂³×C₁₃	semidirect
1013. #103	C₂³×C₁₃	semidirect
1014. #103	C₂³×C₁₃	semidirect
1015. #103	C₂³×C₁₃	semidirect
1016. #103	C₂³×C₁₃	semidirect
1017. #103	C₂³×C₁₃	semidirect
1018. #103	C₂³×C₁₃	semidirect
1019. #103	C₂³×C₁₃	semidirect
1028. #102	C₂³×C₁₃	semidirect
1035. C₂²⋊C₈	C₂³×C₁₃	semidirect
1036. C₂²⋊C₈	C₂³×C₁₃	semidirect
1037. #97	C₂³×C₁₃	semidirect
1038. C₄×C₈	C₂³×C₁₃	semidirect
1236. C₁₃	#61601	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×#3520	2
C₂×C₁₃×#546	2
C₁₃×#3323	2
C₁₃×#3311	2
C₁₃×#3306	2
C₁₃×#3296	2
C₁₃×#3282	2
C₁₃×#3275	2
C₁₃×#3267	2
C₁₃×#3266	2
C₁₃×#3215	2
C₁₃×#3211	2
C₁₃×#3195	2
C₁₃×#3194	2
C₁₃×#3190	2
C₁₃×#3187	2
C₁₃×#3114	2
C₁₃×#3101	2
C₁₃×#3007	2
C₁₃×#3003	2
C₁₃×#3002	2
C₂×C₁₃×#450	2
C₁₃×#2974	2
#61601	13

Subgroups — C13×#61601 #15747940

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61601 #15747940