Subgroups — C₁₃×#61592 #15747931

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3280	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3273	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3193	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3186	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3006	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×#447	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, complemented
25	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₁₃×AGL(1,ℤ/8)	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×D₈	C₂²	1	2	yes	complemented
30	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#546	—	2	1	no	—
37	C₁₃×#546	—	2	1	no	—
38	C₁₃×#546	—	2	1	no	—
39	C₁₃×#546	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#546	C₂²	1	2	yes	—
43	C₁₃×#546	C₂²	1	2	yes	complemented
44	C₁₃×#546	C₂²	1	2	yes	complemented
45	C₁₃×#546	C₂²	1	2	yes	complemented
46	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
48	D₄²×C₁₃	—	2	1	no	—
49	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#540	—	2	1	no	—
51	C₁₃×#538	—	2	1	no	—
52	C₁₃×#538	—	2	1	no	—
53	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
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, complemented
60	C₂×C₁₃×#121	—	2	1	no	—
61	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×#120	—	2	1	no	—
65	C₁₃×#518	—	2	1	no	—
66	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
68	C₂²×C₁₃×C₂²⋊C₄	—	2	1	no	—
69	C₁₃×#496	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×#484	C₂²	1	2	yes	complemented
75	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#482	C₂²	1	2	yes	complemented
77	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#480	C₂²	1	2	yes	complemented
81	C₁₃×#478	C₂²	1	2	yes	complemented
82	C₁₃×#474	C₂²	1	2	yes	complemented
83	C₁₃×#469	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#468	C₂²	1	2	yes	complemented
87	C₁₃×#467	C₂²	1	2	yes	complemented
88	C₁₃×#466	C₂²	1	2	yes	complemented
89	C₁₃×#466	C₂²	1	2	yes	complemented
90	C₁₃×#465	C₂²	1	2	yes	complemented
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#463	C₂²	1	2	yes	complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#463	C₂²	1	2	yes	complemented
95	C₁₃×#463	C₂²	1	2	yes	complemented
96	C₁₃×#459	C₂²	1	2	yes	complemented
97	C₁₃×#452	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	complemented
99	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#450	C₂²	1	2	yes	complemented
101	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#450	C₂²	1	2	yes	complemented
104	C₁₃×#449	C₂²	1	2	yes	complemented
105	C₁₃×#449	C₂²	1	2	yes	complemented
106	C₁₃×#449	C₂²	1	2	yes	complemented
107	C₁₃×#449	C₂²	1	2	yes	complemented
108	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#447	C₂²	1	1	yes	characteristic
112	C₁₃×#447	C₂²	1	1	yes	characteristic
113	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#447	C₂²	1	2	yes	complemented
115	C₁₃×#447	C₂²	1	2	yes	complemented
116	C₁₃×#447	C₂²	1	2	yes	complemented
117	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
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×D₈	C₂²	1	2	yes	complemented
124	C₄×C₁₃×D₈	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, complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
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×D₄×C₁₃	—	2	1	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	—	2	1	no	—
156	C₂²×D₄×C₁₃	—	2	1	no	—
157	C₂²×D₄×C₁₃	—	4	4	no	—
158	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
159	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
160	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
161	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
162	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
165	C₂³×C₄×C₁₃	—	2	1	no	—
166	C₂³×C₄×C₁₃	—	2	1	no	—
167	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
168	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
169	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
170	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
171	C₁₃×#135	—	4	4	no	—
172	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
173	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
174	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
175	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
176	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
177	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
178	C₂×C₁₃×D₈	—	4	4	no	—
179	C₂×C₁₃×D₈	C₂³	1	2	yes	—
180	C₂×C₁₃×D₈	C₂³	1	2	yes	—
181	C₂×C₁₃×D₈	C₂³	1	2	yes	—
182	C₂×C₁₃×D₈	C₂³	1	2	yes	—
183	C₂×C₁₃×D₈	C₂³	1	2	yes	—
184	C₂×C₁₃×D₈	C₂³	1	2	yes	—
185	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
186	C₂×C₁₃×M₁₆	C₂³	1	2	yes	complemented
187	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
188	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
189	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
190	C₁₃×#127	—	2	1	no	—
191	C₁₃×#127	C₂³	1	1	yes	characteristic, complemented
192	C₁₃×#126	—	2	1	no	—
193	C₁₃×#126	—	2	1	no	—
194	C₁₃×#126	—	2	1	no	—
195	C₁₃×#125	—	2	1	no	—
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×#124	C₂³	1	1	yes	characteristic, complemented
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	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	—	2	2	no	—
237	C₁₃×#121	—	2	2	no	—
238	C₁₃×#121	—	2	2	no	—
239	C₁₃×#121	—	2	2	no	—
240	C₁₃×#121	—	2	1	no	—
241	C₁₃×#121	—	2	1	no	—
242	C₁₃×#121	—	2	1	no	—
243	C₁₃×#121	—	2	1	no	—
244	C₁₃×#121	C₂³	1	1	yes	characteristic
245	C₁₃×#121	C₂³	1	1	yes	characteristic
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	2	yes	—
251	C₁₃×#121	C₂³	1	2	yes	—
252	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
253	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
254	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
255	C₁₃×#120	—	2	1	no	—
256	C₁₃×#120	—	2	1	no	—
257	C₁₃×#120	—	2	2	no	—
258	C₁₃×#120	—	2	2	no	—
259	C₁₃×#120	—	2	2	no	—
260	C₁₃×#120	—	2	2	no	—
261	C₁₃×#120	—	2	1	no	—
262	C₁₃×#120	—	2	1	no	—
263	C₁₃×#120	—	2	1	no	—
264	C₁₃×#120	—	2	1	no	—
265	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
266	C₄×D₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
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	D₄	1	1	yes	characteristic
282	C₄×D₄×C₁₃	C₂³	1	2	yes	—
283	C₄×D₄×C₁₃	C₂³	1	2	yes	—
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
289	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
290	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
291	C₁₃×#117	—	2	1	no	—
292	C₁₃×#117	—	2	1	no	—
293	C₁₃×#117	C₂³	1	1	yes	characteristic
294	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
312	C₂×C₁₃×C₂²⋊C₄	—	2	1	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×#107	C₂³	1	2	yes	complemented
318	C₁₃×#107	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×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	2	yes	—
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	complemented
336	C₁₃×#102	C₂³	1	2	yes	complemented
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	1	yes	characteristic
341	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
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	#61592	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	—	2	1	no	—
354	C₂⁴×C₁₃	—	2	1	no	—
355	C₂⁴×C₁₃	—	4	4	no	—
356	C₂⁴×C₁₃	—	4	4	no	—
357	C₂⁴×C₁₃	—	8	2	no	—
358	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₁₃×#41	—	2	4	no	—
361	C₁₃×#41	—	2	4	no	—
362	C₁₃×#41	—	4	2	no	—
363	C₁₃×#41	—	4	2	no	—
364	C₁₃×#41	—	4	2	no	—
365	C₁₃×#41	—	4	2	no	—
366	C₁₃×#41	—	4	4	no	—
367	C₁₃×#41	—	4	4	no	—
368	C₁₃×#41	—	8	2	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	C₂⁴	1	2	yes	—
373	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×D₄×C₁₃	—	2	4	no	—
375	C₂×D₄×C₁₃	—	2	4	no	—
376	C₂×D₄×C₁₃	—	2	4	no	—
377	C₂×D₄×C₁₃	—	2	1	no	—
378	C₂×D₄×C₁₃	—	2	1	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	2	no	—
385	C₂×D₄×C₁₃	—	2	2	no	—
386	C₂×D₄×C₁₃	—	2	1	no	—
387	C₂×D₄×C₁₃	—	2	1	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	1	no	—
392	C₂×D₄×C₁₃	—	2	1	no	—
393	C₂×D₄×C₁₃	—	2	1	no	—
394	C₂×D₄×C₁₃	—	2	2	no	—
395	C₂×D₄×C₁₃	—	2	2	no	—
396	C₂×D₄×C₁₃	—	2	1	no	—
397	C₂×D₄×C₁₃	—	2	1	no	—
398	C₂×D₄×C₁₃	—	2	1	no	—
399	C₂×D₄×C₁₃	—	2	1	no	—
400	C₂×D₄×C₁₃	—	4	2	no	—
401	C₂×D₄×C₁₃	—	4	2	no	—
402	C₂×D₄×C₁₃	—	4	2	no	—
403	C₂×D₄×C₁₃	—	4	2	no	—
404	C₂×D₄×C₁₃	—	4	2	no	—
405	C₂×D₄×C₁₃	—	4	2	no	—
406	C₂×D₄×C₁₃	—	4	4	no	—
407	C₂×D₄×C₁₃	—	4	4	no	—
408	C₂×D₄×C₁₃	—	4	4	no	—
409	C₂×D₄×C₁₃	—	4	4	no	—
410	C₂×D₄×C₁₃	—	4	4	no	—
411	C₂×D₄×C₁₃	—	8	2	no	—
412	C₂×D₄×C₁₃	—	8	2	no	—
413	C₂×D₄×C₁₃	—	8	2	no	—
414	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
415	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
416	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
417	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
418	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
419	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
423	C₂²×C₄×C₁₃	—	2	1	no	—
424	C₂²×C₄×C₁₃	—	2	1	no	—
425	C₂²×C₄×C₁₃	—	2	1	no	—
426	C₂²×C₄×C₁₃	—	2	1	no	—
427	C₂²×C₄×C₁₃	—	2	2	no	—
428	C₂²×C₄×C₁₃	—	2	2	no	—
429	C₂²×C₄×C₁₃	—	2	1	no	—
430	C₂²×C₄×C₁₃	—	2	2	no	—
431	C₂²×C₄×C₁₃	—	2	2	no	—
432	C₂²×C₄×C₁₃	—	2	1	no	—
433	C₂²×C₄×C₁₃	—	2	1	no	—
434	C₂²×C₄×C₁₃	—	2	1	no	—
435	C₂²×C₄×C₁₃	—	2	1	no	—
436	C₂²×C₄×C₁₃	—	4	2	no	—
437	C₂²×C₄×C₁₃	—	4	2	no	—
438	C₂²×C₄×C₁₃	—	4	4	no	—
439	C₂²×C₄×C₁₃	—	8	2	no	—
440	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
441	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
443	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
444	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₁₃×Q₁₆	—	4	2	no	—
454	C₁₃×SD₁₆	—	2	4	no	—
455	C₁₃×SD₁₆	—	4	2	no	—
456	C₁₃×SD₁₆	—	4	2	no	—
457	C₁₃×SD₁₆	—	4	2	no	—
458	C₁₃×SD₁₆	—	4	2	no	—
459	C₁₃×D₈	—	2	4	no	—
460	C₁₃×D₈	—	2	4	no	—
461	C₁₃×D₈	—	2	4	no	—
462	C₁₃×D₈	—	4	2	no	—
463	C₁₃×D₈	—	4	2	no	—
464	C₁₃×D₈	—	4	2	no	—
465	C₁₃×M₁₆	—	4	2	no	—
466	C₁₃×M₁₆	—	4	2	no	—
467	C₂×C₈×C₁₃	—	4	2	no	—
468	C₂×C₈×C₁₃	—	4	2	no	—
469	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
470	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
471	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
472	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
473	C₁₃×C₄⋊C₄	—	2	2	no	—
474	C₁₃×C₄⋊C₄	—	2	2	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	—	2	1	no	—
483	C₁₃×C₄⋊C₄	—	2	1	no	—
484	C₁₃×C₄⋊C₄	—	2	1	no	—
485	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
486	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
487	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
488	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
489	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
490	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
491	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
492	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
493	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
494	C₁₃×C₂²⋊C₄	—	2	2	no	—
495	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
502	C₁₃×C₂²⋊C₄	—	2	2	no	—
503	C₁₃×C₂²⋊C₄	—	2	2	no	—
504	C₁₃×C₂²⋊C₄	—	2	2	no	—
505	C₁₃×C₂²⋊C₄	—	2	1	no	—
506	C₁₃×C₂²⋊C₄	—	2	1	no	—
507	C₁₃×C₂²⋊C₄	—	2	1	no	—
508	C₁₃×C₂²⋊C₄	—	2	1	no	—
509	C₁₃×C₂²⋊C₄	—	2	1	no	—
510	C₁₃×C₂²⋊C₄	—	2	1	no	—
511	C₁₃×C₂²⋊C₄	—	2	1	no	—
512	C₁₃×C₂²⋊C₄	—	2	1	no	—
513	C₁₃×C₂²⋊C₄	—	2	2	no	—
514	C₁₃×C₂²⋊C₄	—	2	2	no	—
515	C₁₃×C₂²⋊C₄	—	2	2	no	—
516	C₁₃×C₂²⋊C₄	—	2	2	no	—
517	C₁₃×C₂²⋊C₄	—	2	1	no	—
518	C₁₃×C₂²⋊C₄	—	2	1	no	—
519	C₁₃×C₂²⋊C₄	—	2	1	no	—
520	C₁₃×C₂²⋊C₄	—	2	1	no	—
521	C₁₃×C₂²⋊C₄	—	2	1	no	—
522	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
527	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
528	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
529	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
530	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
531	C₄²×C₁₃	—	2	1	no	—
532	C₄²×C₁₃	—	2	1	no	—
533	C₄²×C₁₃	—	2	1	no	—
534	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
535	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
536	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
538	#3519	C₂×C₁₃	1	1	yes	characteristic, complemented
539	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
540	#3322	C₂×C₁₃	1	2	yes	complemented
541	#3319	C₂×C₁₃	1	2	yes	complemented
542	#3314	C₂×C₁₃	1	2	yes	complemented
543	#3297	C₂×C₁₃	1	2	yes	complemented
544	#3280	C₂×C₁₃	1	2	yes	complemented
545	#3273	C₂×C₁₃	1	2	yes	complemented
546	#3268	C₂×C₁₃	1	2	yes	complemented
547	#3264	C₂×C₁₃	1	2	yes	complemented
548	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3193	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3190	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3186	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#3003	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
559	C₂×#447	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#2974	C₂×C₁₃	1	1	yes	characteristic, complemented
561	C₂³×C₁₃	—	2	4	no	—
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	2	no	—
564	C₂³×C₁₃	—	2	2	no	—
565	C₂³×C₁₃	—	2	2	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	2	2	no	—
568	C₂³×C₁₃	—	2	1	no	—
569	C₂³×C₁₃	—	2	1	no	—
570	C₂³×C₁₃	—	4	1	no	—
571	C₂³×C₁₃	—	4	1	no	—
572	C₂³×C₁₃	—	4	1	no	—
573	C₂³×C₁₃	—	4	4	no	—
574	C₂³×C₁₃	—	4	4	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	2	no	—
581	C₂³×C₁₃	—	4	4	no	—
582	C₂³×C₁₃	—	4	2	no	—
583	C₂³×C₁₃	—	4	2	no	—
584	C₂³×C₁₃	—	8	2	no	—
585	C₂³×C₁₃	—	8	2	no	—
586	C₂³×C₁₃	—	8	1	no	—
587	C₂³×C₁₃	—	8	1	no	—
588	C₂³×C₁₃	—	8	1	no	—
589	C₂³×C₁₃	—	8	1	no	—
590	C₂³×C₁₃	—	8	16	no	—
591	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
592	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
593	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
594	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
595	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
596	Q₈×C₁₃	—	2	2	no	—
597	Q₈×C₁₃	—	2	2	no	—
598	Q₈×C₁₃	—	2	2	no	—
599	Q₈×C₁₃	—	4	2	no	—
600	Q₈×C₁₃	—	8	1	no	—
601	D₄×C₁₃	—	2	4	no	—
602	D₄×C₁₃	—	2	2	no	—
603	D₄×C₁₃	—	2	2	no	—
604	D₄×C₁₃	—	2	2	no	—
605	D₄×C₁₃	—	2	2	no	—
606	D₄×C₁₃	—	2	2	no	—
607	D₄×C₁₃	—	2	2	no	—
608	D₄×C₁₃	—	2	2	no	—
609	D₄×C₁₃	—	2	2	no	—
610	D₄×C₁₃	—	4	1	no	—
611	D₄×C₁₃	—	4	1	no	—
612	D₄×C₁₃	—	4	4	no	—
613	D₄×C₁₃	—	4	4	no	—
614	D₄×C₁₃	—	4	2	no	—
615	D₄×C₁₃	—	4	2	no	—
616	D₄×C₁₃	—	4	4	no	—
617	D₄×C₁₃	—	4	4	no	—
618	D₄×C₁₃	—	4	2	no	—
619	D₄×C₁₃	—	4	2	no	—
620	D₄×C₁₃	—	4	2	no	—
621	D₄×C₁₃	—	4	2	no	—
622	D₄×C₁₃	—	4	2	no	—
623	D₄×C₁₃	—	8	1	no	—
624	D₄×C₁₃	—	8	1	no	—
625	D₄×C₁₃	—	8	1	no	—
626	D₄×C₁₃	—	8	2	no	—
627	D₄×C₁₃	—	8	2	no	—
628	D₄×C₁₃	—	8	1	no	—
629	D₄×C₁₃	—	8	1	no	—
630	D₄×C₁₃	—	8	1	no	—
631	D₄×C₁₃	—	8	1	no	—
632	D₄×C₁₃	—	8	1	no	—
633	D₄×C₁₃	—	8	1	no	—
634	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
635	C₂×C₄×C₁₃	—	2	2	no	—
636	C₂×C₄×C₁₃	—	2	2	no	—
637	C₂×C₄×C₁₃	—	2	2	no	—
638	C₂×C₄×C₁₃	—	2	2	no	—
639	C₂×C₄×C₁₃	—	2	2	no	—
640	C₂×C₄×C₁₃	—	2	2	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	2	no	—
647	C₂×C₄×C₁₃	—	2	2	no	—
648	C₂×C₄×C₁₃	—	4	1	no	—
649	C₂×C₄×C₁₃	—	4	1	no	—
650	C₂×C₄×C₁₃	—	4	1	no	—
651	C₂×C₄×C₁₃	—	4	1	no	—
652	C₂×C₄×C₁₃	—	4	1	no	—
653	C₂×C₄×C₁₃	—	4	1	no	—
654	C₂×C₄×C₁₃	—	4	1	no	—
655	C₂×C₄×C₁₃	—	4	4	no	—
656	C₂×C₄×C₁₃	—	4	4	no	—
657	C₂×C₄×C₁₃	—	4	2	no	—
658	C₂×C₄×C₁₃	—	4	2	no	—
659	C₂×C₄×C₁₃	—	4	2	no	—
660	C₂×C₄×C₁₃	—	8	2	no	—
661	C₂×C₄×C₁₃	—	8	2	no	—
662	C₂×C₄×C₁₃	—	8	1	no	—
663	C₂×C₄×C₁₃	—	8	1	no	—
664	C₂×C₄×C₁₃	—	8	1	no	—
665	C₂×C₄×C₁₃	—	8	1	no	—
666	C₂×C₄×C₁₃	—	8	1	no	—
667	C₂×C₄×C₁₃	—	8	1	no	—
668	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
669	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
670	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
671	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
672	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
673	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
674	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
675	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
676	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
677	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
678	C₈×C₁₃	—	2	2	no	—
679	C₈×C₁₃	—	2	2	no	—
680	C₈×C₁₃	—	2	2	no	—
681	C₈×C₁₃	—	2	2	no	—
682	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
685	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
686	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
687	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
688	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
689	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	#553	—	2	1	no	—
691	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
692	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
694	#546	—	2	1	no	—
695	#546	—	2	1	no	—
696	#546	—	2	1	no	—
697	#546	—	2	1	no	—
698	#546	—	2	1	no	—
699	#546	—	2	1	no	—
700	#546	C₂²×C₁₃	1	2	yes	—
701	#546	C₂²×C₁₃	1	2	yes	complemented
702	#546	C₂²×C₁₃	1	2	yes	complemented
703	#546	C₂²×C₁₃	1	2	yes	complemented
704	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
705	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
706	D₄²	—	2	1	no	—
707	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	#540	—	2	1	no	—
709	#538	—	2	1	no	—
710	#538	—	2	1	no	—
711	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#525	C₂²×C₁₃	1	1	yes	characteristic
715	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	C₂×#123	—	2	1	no	—
717	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	C₂×#121	—	2	1	no	—
719	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
720	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	C₂×#120	—	2	1	no	—
723	#518	—	2	1	no	—
724	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
725	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	C₂²×C₂²⋊C₄	—	2	1	no	—
727	#496	C₂²×C₁₃	1	2	yes	complemented
728	#495	C₂²×C₁₃	1	2	yes	complemented
729	#489	C₂²×C₁₃	1	2	yes	complemented
730	#488	C₂²×C₁₃	1	2	yes	complemented
731	#485	C₂²×C₁₃	1	2	yes	complemented
732	#484	C₂²×C₁₃	1	2	yes	complemented
733	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
734	#482	C₂²×C₁₃	1	2	yes	complemented
735	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#480	C₂²×C₁₃	1	2	yes	complemented
739	#478	C₂²×C₁₃	1	2	yes	complemented
740	#474	C₂²×C₁₃	1	2	yes	complemented
741	#469	C₂²×C₁₃	1	2	yes	complemented
742	#468	C₂²×C₁₃	1	2	yes	complemented
743	#468	C₂²×C₁₃	1	2	yes	complemented
744	#468	C₂²×C₁₃	1	2	yes	complemented
745	#467	C₂²×C₁₃	1	2	yes	complemented
746	#466	C₂²×C₁₃	1	2	yes	complemented
747	#466	C₂²×C₁₃	1	2	yes	complemented
748	#465	C₂²×C₁₃	1	2	yes	complemented
749	#464	C₂²×C₁₃	1	2	yes	complemented
750	#463	C₂²×C₁₃	1	2	yes	complemented
751	#463	C₂²×C₁₃	1	2	yes	complemented
752	#463	C₂²×C₁₃	1	2	yes	complemented
753	#463	C₂²×C₁₃	1	2	yes	complemented
754	#459	C₂²×C₁₃	1	2	yes	complemented
755	#452	C₂²×C₁₃	1	2	yes	complemented
756	#452	C₂²×C₁₃	1	2	yes	complemented
757	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	#450	C₂²×C₁₃	1	2	yes	complemented
761	#450	C₂²×C₁₃	1	2	yes	complemented
762	#449	C₂²×C₁₃	1	2	yes	complemented
763	#449	C₂²×C₁₃	1	2	yes	complemented
764	#449	C₂²×C₁₃	1	2	yes	complemented
765	#449	C₂²×C₁₃	1	2	yes	complemented
766	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
767	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
768	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	#447	C₂²×C₁₃	1	1	yes	characteristic
770	#447	C₂²×C₁₃	1	1	yes	characteristic
771	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	#447	C₂²×C₁₃	1	2	yes	complemented
776	#447	C₂²×C₁₃	1	2	yes	complemented
777	#447	C₂²×C₁₃	1	2	yes	complemented
778	#447	C₂²×C₁₃	1	2	yes	complemented
779	#442	C₂²×C₁₃	1	2	yes	complemented
780	#440	C₂²×C₁₃	1	2	yes	complemented
781	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
782	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
783	#436	C₂²×C₁₃	1	2	yes	complemented
784	#435	C₂²×C₁₃	1	2	yes	complemented
785	#435	C₂²×C₁₃	1	2	yes	complemented
786	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
787	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
789	#418	C₂²×C₁₃	1	2	yes	complemented
790	#417	C₂²×C₁₃	1	2	yes	complemented
791	#416	C₂²×C₁₃	1	2	yes	complemented
792	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
793	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
795	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
797	C₂²×C₁₃	—	2	1	no	—
798	C₂²×C₁₃	—	2	1	no	—
799	C₂²×C₁₃	—	2	1	no	—
800	C₂²×C₁₃	—	2	1	no	—
801	C₂²×C₁₃	—	2	1	no	—
802	C₂²×C₁₃	—	2	1	no	—
803	C₂²×C₁₃	—	2	1	no	—
804	C₂²×C₁₃	—	2	4	no	—
805	C₂²×C₁₃	—	2	1	no	—
806	C₂²×C₁₃	—	2	1	no	—
807	C₂²×C₁₃	—	2	1	no	—
808	C₂²×C₁₃	—	2	1	no	—
809	C₂²×C₁₃	—	2	1	no	—
810	C₂²×C₁₃	—	2	1	no	—
811	C₂²×C₁₃	—	4	4	no	—
812	C₂²×C₁₃	—	4	8	no	—
813	C₂²×C₁₃	—	4	2	no	—
814	C₂²×C₁₃	—	4	2	no	—
815	C₂²×C₁₃	—	4	1	no	—
816	C₂²×C₁₃	—	4	1	no	—
817	C₂²×C₁₃	—	4	2	no	—
818	C₂²×C₁₃	—	4	1	no	—
819	C₂²×C₁₃	—	4	1	no	—
820	C₂²×C₁₃	—	4	1	no	—
821	C₂²×C₁₃	—	4	1	no	—
822	C₂²×C₁₃	—	4	2	no	—
823	C₂²×C₁₃	—	4	1	no	—
824	C₂²×C₁₃	—	4	1	no	—
825	C₂²×C₁₃	—	4	1	no	—
826	C₂²×C₁₃	—	4	2	no	—
827	C₂²×C₁₃	—	8	2	no	—
828	C₂²×C₁₃	—	8	8	no	—
829	C₂²×C₁₃	—	8	4	no	—
830	C₂²×C₁₃	—	8	8	no	—
831	C₂²×C₁₃	—	16	2	no	—
832	C₂²×C₁₃	—	16	2	no	—
833	C₂²×C₁₃	#575	1	2	yes	—
834	C₂²×C₁₃	#576	1	2	yes	—
835	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
836	C₄×C₁₃	—	2	1	no	—
837	C₄×C₁₃	—	2	1	no	—
838	C₄×C₁₃	—	2	1	no	—
839	C₄×C₁₃	—	2	1	no	—
840	C₄×C₁₃	—	2	1	no	—
841	C₄×C₁₃	—	2	1	no	—
842	C₄×C₁₃	—	2	1	no	—
843	C₄×C₁₃	—	2	1	no	—
844	C₄×C₁₃	—	2	1	no	—
845	C₄×C₁₃	—	4	2	no	—
846	C₄×C₁₃	—	4	1	no	—
847	C₄×C₁₃	—	4	1	no	—
848	C₄×C₁₃	—	4	2	no	—
849	C₄×C₁₃	—	4	1	no	—
850	C₄×C₁₃	—	4	1	no	—
851	C₄×C₁₃	—	4	1	no	—
852	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
853	C₂⁵	—	2	1	no	—
854	C₂×#41	—	2	1	no	—
855	C₂×#41	—	2	1	no	—
856	C₂×#41	—	2	1	no	—
857	C₂×#41	—	4	4	no	—
858	C₂×#41	C₂³×C₁₃	1	2	yes	—
859	C₂×#41	C₂³×C₁₃	1	2	yes	—
860	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
861	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic, complemented
862	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²×D₄	—	2	1	no	—
864	C₂²×D₄	—	2	1	no	—
865	C₂²×D₄	—	2	1	no	—
866	C₂²×D₄	—	2	1	no	—
867	C₂²×D₄	—	2	1	no	—
868	C₂²×D₄	—	2	1	no	—
869	C₂²×D₄	—	2	1	no	—
870	C₂²×D₄	—	2	1	no	—
871	C₂²×D₄	—	4	4	no	—
872	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
873	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
874	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
875	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
876	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
877	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
878	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
879	C₂³×C₄	—	2	1	no	—
880	C₂³×C₄	—	2	1	no	—
881	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
883	AGL(1,ℤ/8)	—	4	4	no	—
884	AGL(1,ℤ/8)	—	4	4	no	—
885	#135	—	4	4	no	—
886	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
887	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
888	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
889	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
890	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
891	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
892	C₂×D₈	—	4	4	no	—
893	C₂×D₈	C₂³×C₁₃	1	2	yes	—
894	C₂×D₈	C₂³×C₁₃	1	2	yes	—
895	C₂×D₈	C₂³×C₁₃	1	2	yes	—
896	C₂×D₈	C₂³×C₁₃	1	2	yes	—
897	C₂×D₈	C₂³×C₁₃	1	2	yes	—
898	C₂×D₈	C₂³×C₁₃	1	2	yes	—
899	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
900	C₂×M₁₆	C₂³×C₁₃	1	2	yes	complemented
901	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
902	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
903	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
904	#127	—	2	1	no	—
905	#127	C₂³×C₁₃	1	1	yes	characteristic, complemented
906	#126	—	2	1	no	—
907	#126	—	2	1	no	—
908	#126	—	2	1	no	—
909	#125	—	2	1	no	—
910	#125	C₂³×C₁₃	1	1	yes	characteristic, complemented
911	#124	—	2	1	no	—
912	#124	—	2	1	no	—
913	#124	—	2	1	no	—
914	#124	—	2	1	no	—
915	#124	—	2	1	no	—
916	#124	C₂³×C₁₃	1	2	yes	—
917	#124	C₂³×C₁₃	1	2	yes	—
918	#124	C₂³×C₁₃	1	1	yes	characteristic, complemented
919	#123	—	2	1	no	—
920	#123	—	2	1	no	—
921	#123	—	2	1	no	—
922	#123	—	2	2	no	—
923	#123	—	2	2	no	—
924	#123	—	2	2	no	—
925	#123	—	2	2	no	—
926	#123	—	2	1	no	—
927	#123	—	2	1	no	—
928	#123	—	2	1	no	—
929	#123	—	2	1	no	—
930	C₂²⋊Q₈	—	2	1	no	—
931	C₂²⋊Q₈	—	2	1	no	—
932	C₂²⋊Q₈	—	2	1	no	—
933	C₂²⋊Q₈	—	2	1	no	—
934	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
935	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
936	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
937	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
938	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
939	#121	—	2	1	no	—
940	#121	—	2	1	no	—
941	#121	—	2	1	no	—
942	#121	—	2	1	no	—
943	#121	—	2	1	no	—
944	#121	—	2	1	no	—
945	#121	—	2	1	no	—
946	#121	—	2	1	no	—
947	#121	—	2	1	no	—
948	#121	—	2	1	no	—
949	#121	—	2	1	no	—
950	#121	—	2	2	no	—
951	#121	—	2	2	no	—
952	#121	—	2	2	no	—
953	#121	—	2	2	no	—
954	#121	—	2	1	no	—
955	#121	—	2	1	no	—
956	#121	—	2	1	no	—
957	#121	—	2	1	no	—
958	#121	C₂³×C₁₃	1	1	yes	characteristic
959	#121	C₂³×C₁₃	1	1	yes	characteristic
960	#121	C₂³×C₁₃	1	1	yes	characteristic
961	#121	C₂³×C₁₃	1	1	yes	characteristic
962	#121	C₂³×C₁₃	1	1	yes	characteristic
963	#121	C₂³×C₁₃	1	2	yes	—
964	#121	C₂³×C₁₃	1	2	yes	—
965	#121	C₂³×C₁₃	1	1	yes	characteristic
966	#121	C₂³×C₁₃	1	1	yes	characteristic, complemented
967	#121	C₂³×C₁₃	1	1	yes	characteristic, complemented
968	#121	C₂³×C₁₃	1	1	yes	characteristic, complemented
969	#120	—	2	1	no	—
970	#120	—	2	1	no	—
971	#120	—	2	2	no	—
972	#120	—	2	2	no	—
973	#120	—	2	2	no	—
974	#120	—	2	2	no	—
975	#120	—	2	1	no	—
976	#120	—	2	1	no	—
977	#120	—	2	1	no	—
978	#120	—	2	1	no	—
979	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
980	C₄×D₄	—	2	1	no	—
981	C₄×D₄	—	2	1	no	—
982	C₄×D₄	—	2	1	no	—
983	C₄×D₄	—	2	1	no	—
984	C₄×D₄	—	2	1	no	—
985	C₄×D₄	—	2	1	no	—
986	C₄×D₄	—	2	1	no	—
987	C₄×D₄	—	2	1	no	—
988	C₄×D₄	—	2	1	no	—
989	C₄×D₄	—	2	1	no	—
990	C₄×D₄	—	2	1	no	—
991	C₄×D₄	—	2	1	no	—
992	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
993	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
994	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
995	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
996	C₄×D₄	C₂³×C₁₃	1	2	yes	—
997	C₄×D₄	C₂³×C₁₃	1	2	yes	—
998	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
999	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1000	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1002	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
1003	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
1004	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
1005	#117	—	2	1	no	—
1006	#117	—	2	1	no	—
1007	#117	C₂³×C₁₃	1	1	yes	characteristic
1008	#117	C₂³×C₁₃	1	1	yes	characteristic, complemented
1009	C₂×C₄⋊C₄	—	2	1	no	—
1010	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
1014	C₂×C₂²⋊C₄	—	2	1	no	—
1015	C₂×C₂²⋊C₄	—	2	1	no	—
1016	C₂×C₂²⋊C₄	—	2	1	no	—
1017	C₂×C₂²⋊C₄	—	2	1	no	—
1018	C₂×C₂²⋊C₄	—	2	1	no	—
1019	C₂×C₂²⋊C₄	—	2	1	no	—
1020	C₂×C₂²⋊C₄	—	2	1	no	—
1021	C₂×C₂²⋊C₄	—	2	2	no	—
1022	C₂×C₂²⋊C₄	—	2	2	no	—
1023	C₂×C₂²⋊C₄	—	2	2	no	—
1024	C₂×C₂²⋊C₄	—	2	2	no	—
1025	C₂×C₂²⋊C₄	—	2	1	no	—
1026	C₂×C₂²⋊C₄	—	2	1	no	—
1027	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1029	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1030	#107	C₂³×C₁₃	1	2	yes	complemented
1031	#107	C₂³×C₁₃	1	2	yes	complemented
1032	#107	C₂³×C₁₃	1	2	yes	complemented
1033	#106	C₂³×C₁₃	1	2	yes	complemented
1034	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1035	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1036	#103	C₂³×C₁₃	1	2	yes	complemented
1037	#103	C₂³×C₁₃	1	2	yes	complemented
1038	#103	C₂³×C₁₃	1	2	yes	complemented
1039	#103	C₂³×C₁₃	1	2	yes	complemented
1040	#103	C₂³×C₁₃	1	2	yes	complemented
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	—
1045	#102	C₂³×C₁₃	1	2	yes	—
1046	#102	C₂³×C₁₃	1	2	yes	—
1047	#102	C₂³×C₁₃	1	2	yes	—
1048	#102	C₂³×C₁₃	1	2	yes	—
1049	#102	C₂³×C₁₃	1	2	yes	complemented
1050	#102	C₂³×C₁₃	1	2	yes	complemented
1051	#102	C₂³×C₁₃	1	2	yes	complemented
1052	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1056	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1058	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1059	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
1060	#97	C₂³×C₁₃	1	2	yes	complemented
1061	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
1062	C₂×C₁₃	—	2	2	no	—
1063	C₂×C₁₃	—	2	2	no	—
1064	C₂×C₁₃	—	4	1	no	—
1065	C₂×C₁₃	—	4	1	no	—
1066	C₂×C₁₃	—	4	1	no	—
1067	C₂×C₁₃	—	4	4	no	—
1068	C₂×C₁₃	—	8	2	no	—
1069	C₂×C₁₃	—	8	1	no	—
1070	C₂×C₁₃	—	8	1	no	—
1071	C₂×C₁₃	—	8	1	no	—
1072	C₂×C₁₃	#3484	1	1	yes	characteristic
1073	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1074	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1075	C₂⁴	—	2	1	no	—
1076	C₂⁴	—	2	1	no	—
1077	C₂⁴	—	2	2	no	—
1078	C₂⁴	—	2	2	no	—
1079	C₂⁴	—	2	1	no	—
1080	C₂⁴	—	2	1	no	—
1081	C₂⁴	—	4	4	no	—
1082	C₂⁴	—	4	4	no	—
1083	C₂⁴	—	8	2	no	—
1084	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1086	#41	—	2	4	no	—
1087	#41	—	2	4	no	—
1088	#41	—	4	2	no	—
1089	#41	—	4	2	no	—
1090	#41	—	4	2	no	—
1091	#41	—	4	2	no	—
1092	#41	—	4	4	no	—
1093	#41	—	4	4	no	—
1094	#41	—	8	2	no	—
1095	C₂×Q₈	—	2	1	no	—
1096	C₂×Q₈	—	2	1	no	—
1097	C₂×Q₈	—	4	2	no	—
1098	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1099	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1100	C₂×D₄	—	2	4	no	—
1101	C₂×D₄	—	2	4	no	—
1102	C₂×D₄	—	2	4	no	—
1103	C₂×D₄	—	2	1	no	—
1104	C₂×D₄	—	2	1	no	—
1105	C₂×D₄	—	2	1	no	—
1106	C₂×D₄	—	2	1	no	—
1107	C₂×D₄	—	2	1	no	—
1108	C₂×D₄	—	2	2	no	—
1109	C₂×D₄	—	2	2	no	—
1110	C₂×D₄	—	2	2	no	—
1111	C₂×D₄	—	2	2	no	—
1112	C₂×D₄	—	2	1	no	—
1113	C₂×D₄	—	2	1	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	2	1	no	—
1116	C₂×D₄	—	2	1	no	—
1117	C₂×D₄	—	2	1	no	—
1118	C₂×D₄	—	2	1	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	2	2	no	—
1121	C₂×D₄	—	2	2	no	—
1122	C₂×D₄	—	2	1	no	—
1123	C₂×D₄	—	2	1	no	—
1124	C₂×D₄	—	2	1	no	—
1125	C₂×D₄	—	2	1	no	—
1126	C₂×D₄	—	4	2	no	—
1127	C₂×D₄	—	4	2	no	—
1128	C₂×D₄	—	4	2	no	—
1129	C₂×D₄	—	4	2	no	—
1130	C₂×D₄	—	4	2	no	—
1131	C₂×D₄	—	4	2	no	—
1132	C₂×D₄	—	4	4	no	—
1133	C₂×D₄	—	4	4	no	—
1134	C₂×D₄	—	4	4	no	—
1135	C₂×D₄	—	4	4	no	—
1136	C₂×D₄	—	4	4	no	—
1137	C₂×D₄	—	8	2	no	—
1138	C₂×D₄	—	8	2	no	—
1139	C₂×D₄	—	8	2	no	—
1140	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1141	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1142	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1143	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1144	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1145	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1146	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1147	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1148	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1149	C₂²×C₄	—	2	1	no	—
1150	C₂²×C₄	—	2	1	no	—
1151	C₂²×C₄	—	2	1	no	—
1152	C₂²×C₄	—	2	1	no	—
1153	C₂²×C₄	—	2	2	no	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	1	no	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	1	no	—
1159	C₂²×C₄	—	2	1	no	—
1160	C₂²×C₄	—	2	1	no	—
1161	C₂²×C₄	—	2	1	no	—
1162	C₂²×C₄	—	4	2	no	—
1163	C₂²×C₄	—	4	2	no	—
1164	C₂²×C₄	—	4	4	no	—
1165	C₂²×C₄	—	8	2	no	—
1166	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1179	Q₁₆	—	4	2	no	—
1180	SD₁₆	—	2	4	no	—
1181	SD₁₆	—	4	2	no	—
1182	SD₁₆	—	4	2	no	—
1183	SD₁₆	—	4	2	no	—
1184	SD₁₆	—	4	2	no	—
1185	D₈	—	2	4	no	—
1186	D₈	—	2	4	no	—
1187	D₈	—	2	4	no	—
1188	D₈	—	4	2	no	—
1189	D₈	—	4	2	no	—
1190	D₈	—	4	2	no	—
1191	M₁₆	—	4	2	no	—
1192	M₁₆	—	4	2	no	—
1193	C₂×C₈	—	4	2	no	—
1194	C₂×C₈	—	4	2	no	—
1195	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1196	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1197	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1198	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	1	no	—
1202	C₄⋊C₄	—	2	1	no	—
1203	C₄⋊C₄	—	2	1	no	—
1204	C₄⋊C₄	—	2	1	no	—
1205	C₄⋊C₄	—	2	1	no	—
1206	C₄⋊C₄	—	2	1	no	—
1207	C₄⋊C₄	—	2	1	no	—
1208	C₄⋊C₄	—	2	1	no	—
1209	C₄⋊C₄	—	2	1	no	—
1210	C₄⋊C₄	—	2	1	no	—
1211	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1212	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1213	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1214	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1215	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1216	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1217	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1218	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1219	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
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	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	2	2	no	—
1231	C₂²⋊C₄	—	2	1	no	—
1232	C₂²⋊C₄	—	2	1	no	—
1233	C₂²⋊C₄	—	2	1	no	—
1234	C₂²⋊C₄	—	2	1	no	—
1235	C₂²⋊C₄	—	2	1	no	—
1236	C₂²⋊C₄	—	2	1	no	—
1237	C₂²⋊C₄	—	2	1	no	—
1238	C₂²⋊C₄	—	2	1	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	1	no	—
1244	C₂²⋊C₄	—	2	1	no	—
1245	C₂²⋊C₄	—	2	1	no	—
1246	C₂²⋊C₄	—	2	1	no	—
1247	C₂²⋊C₄	—	2	1	no	—
1248	C₂²⋊C₄	—	2	1	no	—
1249	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1250	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1251	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1252	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1253	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1254	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1255	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1256	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1257	C₄²	—	2	1	no	—
1258	C₄²	—	2	1	no	—
1259	C₄²	—	2	1	no	—
1260	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1261	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1262	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1263	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1264	C₁₃	#61592	1	1	yes	characteristic, direct product factor, Sylow
1265	C₂³	—	2	4	no	—
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	2	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	4	1	no	—
1275	C₂³	—	4	1	no	—
1276	C₂³	—	4	1	no	—
1277	C₂³	—	4	4	no	—
1278	C₂³	—	4	4	no	—
1279	C₂³	—	4	2	no	—
1280	C₂³	—	4	2	no	—
1281	C₂³	—	4	2	no	—
1282	C₂³	—	4	4	no	—
1283	C₂³	—	4	2	no	—
1284	C₂³	—	4	2	no	—
1285	C₂³	—	4	4	no	—
1286	C₂³	—	4	2	no	—
1287	C₂³	—	4	2	no	—
1288	C₂³	—	8	2	no	—
1289	C₂³	—	8	2	no	—
1290	C₂³	—	8	1	no	—
1291	C₂³	—	8	1	no	—
1292	C₂³	—	8	1	no	—
1293	C₂³	—	8	1	no	—
1294	C₂³	—	8	16	no	—
1295	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1296	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1297	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1298	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1299	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1300	Q₈	—	2	2	no	—
1301	Q₈	—	2	2	no	—
1302	Q₈	—	2	2	no	—
1303	Q₈	—	4	2	no	—
1304	Q₈	—	8	1	no	—
1305	D₄	—	2	4	no	—
1306	D₄	—	2	2	no	—
1307	D₄	—	2	2	no	—
1308	D₄	—	2	2	no	—
1309	D₄	—	2	2	no	—
1310	D₄	—	2	2	no	—
1311	D₄	—	2	2	no	—
1312	D₄	—	2	2	no	—
1313	D₄	—	2	2	no	—
1314	D₄	—	4	1	no	—
1315	D₄	—	4	1	no	—
1316	D₄	—	4	4	no	—
1317	D₄	—	4	4	no	—
1318	D₄	—	4	2	no	—
1319	D₄	—	4	2	no	—
1320	D₄	—	4	4	no	—
1321	D₄	—	4	4	no	—
1322	D₄	—	4	2	no	—
1323	D₄	—	4	2	no	—
1324	D₄	—	4	2	no	—
1325	D₄	—	4	2	no	—
1326	D₄	—	4	2	no	—
1327	D₄	—	8	1	no	—
1328	D₄	—	8	1	no	—
1329	D₄	—	8	1	no	—
1330	D₄	—	8	2	no	—
1331	D₄	—	8	2	no	—
1332	D₄	—	8	1	no	—
1333	D₄	—	8	1	no	—
1334	D₄	—	8	1	no	—
1335	D₄	—	8	1	no	—
1336	D₄	—	8	1	no	—
1337	D₄	—	8	1	no	—
1338	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	2	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	2	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	4	1	no	—
1353	C₂×C₄	—	4	1	no	—
1354	C₂×C₄	—	4	1	no	—
1355	C₂×C₄	—	4	1	no	—
1356	C₂×C₄	—	4	1	no	—
1357	C₂×C₄	—	4	1	no	—
1358	C₂×C₄	—	4	1	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	2	no	—
1362	C₂×C₄	—	4	2	no	—
1363	C₂×C₄	—	4	2	no	—
1364	C₂×C₄	—	8	2	no	—
1365	C₂×C₄	—	8	2	no	—
1366	C₂×C₄	—	8	1	no	—
1367	C₂×C₄	—	8	1	no	—
1368	C₂×C₄	—	8	1	no	—
1369	C₂×C₄	—	8	1	no	—
1370	C₂×C₄	—	8	1	no	—
1371	C₂×C₄	—	8	1	no	—
1372	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1373	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1374	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1375	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1376	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1377	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1378	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1379	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1380	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1381	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1382	C₈	—	2	2	no	—
1383	C₈	—	2	2	no	—
1384	C₈	—	2	2	no	—
1385	C₈	—	2	2	no	—
1386	C₂²	—	2	1	no	—
1387	C₂²	—	2	1	no	—
1388	C₂²	—	2	1	no	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	1	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	1	no	—
1394	C₂²	—	2	1	no	—
1395	C₂²	—	2	1	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	2	1	no	—
1398	C₂²	—	2	1	no	—
1399	C₂²	—	2	4	no	—
1400	C₂²	—	4	4	no	—
1401	C₂²	—	4	8	no	—
1402	C₂²	—	4	2	no	—
1403	C₂²	—	4	2	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	2	no	—
1408	C₂²	—	4	1	no	—
1409	C₂²	—	4	1	no	—
1410	C₂²	—	4	1	no	—
1411	C₂²	—	4	2	no	—
1412	C₂²	—	4	1	no	—
1413	C₂²	—	4	1	no	—
1414	C₂²	—	4	2	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	8	2	no	—
1417	C₂²	—	8	8	no	—
1418	C₂²	—	8	4	no	—
1419	C₂²	—	8	8	no	—
1420	C₂²	—	16	2	no	—
1421	C₂²	—	16	2	no	—
1422	C₂²	C₁₃×#575	1	2	yes	—
1423	C₂²	C₁₃×#576	1	2	yes	—
1424	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1425	C₄	—	2	1	no	—
1426	C₄	—	2	1	no	—
1427	C₄	—	2	1	no	—
1428	C₄	—	2	1	no	—
1429	C₄	—	2	1	no	—
1430	C₄	—	2	1	no	—
1431	C₄	—	2	1	no	—
1432	C₄	—	2	1	no	—
1433	C₄	—	2	1	no	—
1434	C₄	—	4	1	no	—
1435	C₄	—	4	2	no	—
1436	C₄	—	4	1	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	4	2	no	—
1440	C₄	—	4	1	no	—
1441	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1442	C₂	—	2	2	no	—
1443	C₂	—	2	2	no	—
1444	C₂	—	4	1	no	—
1445	C₂	—	4	1	no	—
1446	C₂	—	4	1	no	—
1447	C₂	—	4	4	no	—
1448	C₂	—	8	2	no	—
1449	C₂	—	8	1	no	—
1450	C₂	—	8	1	no	—
1451	C₂	—	8	1	no	—
1452	C₂	C₁₃×#3484	1	1	yes	characteristic
1453	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1454	C₂	C₂×C₁₃×#576	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×#3519	C₂	semidirect
2. C₂×C₁₃×#546	C₂	semidirect
3. C₁₃×#3322	C₂	semidirect
4. C₁₃×#3319	C₂	semidirect
5. C₁₃×#3314	C₂	semidirect
6. C₁₃×#3297	C₂	semidirect
7. C₁₃×#3280	C₂	semidirect
8. C₁₃×#3273	C₂	semidirect
9. C₁₃×#3268	C₂	semidirect
10. C₁₃×#3264	C₂	semidirect
11. C₁₃×#3213	C₂	semidirect
12. C₁₃×#3211	C₂	semidirect
13. C₁₃×#3194	C₂	semidirect
14. C₁₃×#3193	C₂	semidirect
15. C₁₃×#3190	C₂	semidirect
16. C₁₃×#3186	C₂	semidirect
17. C₁₃×#3114	C₂	semidirect
18. C₁₃×#3100	C₂	semidirect
19. C₁₃×#3006	C₂	semidirect
20. C₁₃×#3003	C₂	semidirect
21. C₁₃×#3002	C₂	semidirect
22. C₂×C₁₃×#447	C₂	semidirect
23. C₁₃×#2974	C₂	semidirect
24. C₂²×C₁₃×#41	C₂²	semidirect
25. C₂³×D₄×C₁₃	C₂²	semidirect
26. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
27. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
28. C₂×C₁₃×#135	C₂²	semidirect
29. C₂²×C₁₃×D₈	C₂²	semidirect
30. C₁₃×#555	C₂²	semidirect
31. C₁₃×#554	C₂²	semidirect
33. C₁₃×#553	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
43. C₁₃×#546	C₂²	semidirect
44. C₁₃×#546	C₂²	semidirect
45. C₁₃×#546	C₂²	semidirect
46. C₁₃×#546	C₂²	semidirect
47. C₁₃×#546	C₂²	semidirect
49. D₄²×C₁₃	C₂²	semidirect
53. C₁₃×#532	C₂²	semidirect
54. C₁₃×#529	C₂²	semidirect
55. C₂×C₁₃×#124	C₂²	semidirect
57. C₁₃×#525	C₂²	semidirect
59. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
62. C₂×C₁₃×#121	C₂²	semidirect
63. C₂×C₁₃×#121	C₂²	semidirect
67. C₂×C₄×D₄×C₁₃	C₂²	semidirect
69. C₁₃×#496	C₂²	semidirect
70. C₁₃×#495	C₂²	semidirect
71. C₁₃×#489	C₂²	semidirect
72. C₁₃×#488	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
74. C₁₃×#484	C₂²	semidirect
75. C₁₃×#483	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
77. C₁₃×#480	C₂²	semidirect
78. C₁₃×#480	C₂²	semidirect
79. C₁₃×#480	C₂²	semidirect
80. C₁₃×#480	C₂²	semidirect
81. C₁₃×#478	C₂²	semidirect
82. C₁₃×#474	C₂²	semidirect
83. C₁₃×#469	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#466	C₂²	semidirect
89. C₁₃×#466	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₁₃×#463	C₂²	semidirect
96. C₁₃×#459	C₂²	semidirect
97. C₁₃×#452	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#451	C₂²	semidirect
100. C₁₃×#450	C₂²	semidirect
101. C₁₃×#450	C₂²	semidirect
102. C₁₃×#450	C₂²	semidirect
103. C₁₃×#450	C₂²	semidirect
104. C₁₃×#449	C₂²	semidirect
105. C₁₃×#449	C₂²	semidirect
106. C₁₃×#449	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
108. C₁₃×#448	C₂²	semidirect
109. C₁₃×#448	C₂²	semidirect
110. C₁₃×#448	C₂²	semidirect
113. C₁₃×#447	C₂²	semidirect
114. C₁₃×#447	C₂²	semidirect
115. C₁₃×#447	C₂²	semidirect
116. C₁₃×#447	C₂²	semidirect
117. C₁₃×#447	C₂²	semidirect
118. C₁₃×#447	C₂²	semidirect
119. C₁₃×#447	C₂²	semidirect
120. C₁₃×#447	C₂²	semidirect
121. C₁₃×#442	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₄×C₁₃×D₈	C₂²	semidirect
124. C₄×C₁₃×D₈	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
135. C₁₃×#407	C₂²	semidirect
136. C₁₃×#407	C₂²	semidirect
137. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
138. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
147. C₂×C₁₃×#41	C₂³	semidirect
164. C₂²×D₄×C₁₃	C₂³	semidirect
172. C₂×C₁₃×Q₁₆	C₂³	semidirect
175. C₂×C₁₃×SD₁₆	C₂³	semidirect
176. C₂×C₁₃×SD₁₆	C₂³	semidirect
177. C₂×C₁₃×SD₁₆	C₂³	semidirect
186. C₂×C₁₃×M₁₆	C₂³	semidirect
188. C₂²×C₈×C₁₃	C₂³	semidirect
189. C₁₃×C₄⋊Q₈	C₂³	semidirect
191. C₁₃×#127	C₂³	semidirect
196. C₁₃×#125	C₂³	semidirect
204. C₁₃×#124	C₂³	semidirect
224. C₁₃×C₂²⋊Q₈	C₂³	semidirect
252. C₁₃×#121	C₂³	semidirect
253. C₁₃×#121	C₂³	semidirect
254. C₁₃×#121	C₂³	semidirect
265. C₄×Q₈×C₁₃	C₂³	semidirect
288. C₄×D₄×C₁₃	C₂³	semidirect
289. C₄×D₄×C₁₃	C₂³	semidirect
290. C₄×D₄×C₁₃	C₂³	semidirect
294. C₁₃×#117	C₂³	semidirect
299. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
316. C₁₃×#107	C₂³	semidirect
317. C₁₃×#107	C₂³	semidirect
318. C₁₃×#107	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
335. C₁₃×#102	C₂³	semidirect
336. C₁₃×#102	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. #61592	C₁₃	direct (N × H)
538. #3519	C₂×C₁₃	semidirect
539. C₂×#546	C₂×C₁₃	semidirect
540. #3322	C₂×C₁₃	semidirect
541. #3319	C₂×C₁₃	semidirect
542. #3314	C₂×C₁₃	semidirect
543. #3297	C₂×C₁₃	semidirect
544. #3280	C₂×C₁₃	semidirect
545. #3273	C₂×C₁₃	semidirect
546. #3268	C₂×C₁₃	semidirect
547. #3264	C₂×C₁₃	semidirect
548. #3213	C₂×C₁₃	semidirect
549. #3211	C₂×C₁₃	semidirect
550. #3194	C₂×C₁₃	semidirect
551. #3193	C₂×C₁₃	semidirect
552. #3190	C₂×C₁₃	semidirect
553. #3186	C₂×C₁₃	semidirect
554. #3114	C₂×C₁₃	semidirect
555. #3100	C₂×C₁₃	semidirect
556. #3006	C₂×C₁₃	semidirect
557. #3003	C₂×C₁₃	semidirect
558. #3002	C₂×C₁₃	semidirect
559. C₂×#447	C₂×C₁₃	semidirect
560. #2974	C₂×C₁₃	semidirect
682. C₂²×#41	C₂²×C₁₃	semidirect
683. C₂³×D₄	C₂²×C₁₃	semidirect
684. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
685. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
686. C₂×#135	C₂²×C₁₃	semidirect
687. C₂²×D₈	C₂²×C₁₃	semidirect
688. #555	C₂²×C₁₃	semidirect
689. #554	C₂²×C₁₃	semidirect
691. #553	C₂²×C₁₃	semidirect
692. #553	C₂²×C₁₃	semidirect
693. #550	C₂²×C₁₃	semidirect
701. #546	C₂²×C₁₃	semidirect
702. #546	C₂²×C₁₃	semidirect
703. #546	C₂²×C₁₃	semidirect
704. #546	C₂²×C₁₃	semidirect
705. #546	C₂²×C₁₃	semidirect
707. D₄²	C₂²×C₁₃	semidirect
711. #532	C₂²×C₁₃	semidirect
712. #529	C₂²×C₁₃	semidirect
713. C₂×#124	C₂²×C₁₃	semidirect
715. #525	C₂²×C₁₃	semidirect
717. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
720. C₂×#121	C₂²×C₁₃	semidirect
721. C₂×#121	C₂²×C₁₃	semidirect
725. C₂×C₄×D₄	C₂²×C₁₃	semidirect
727. #496	C₂²×C₁₃	semidirect
728. #495	C₂²×C₁₃	semidirect
729. #489	C₂²×C₁₃	semidirect
730. #488	C₂²×C₁₃	semidirect
731. #485	C₂²×C₁₃	semidirect
732. #484	C₂²×C₁₃	semidirect
733. #483	C₂²×C₁₃	semidirect
734. #482	C₂²×C₁₃	semidirect
735. #480	C₂²×C₁₃	semidirect
736. #480	C₂²×C₁₃	semidirect
737. #480	C₂²×C₁₃	semidirect
738. #480	C₂²×C₁₃	semidirect
739. #478	C₂²×C₁₃	semidirect
740. #474	C₂²×C₁₃	semidirect
741. #469	C₂²×C₁₃	semidirect
742. #468	C₂²×C₁₃	semidirect
743. #468	C₂²×C₁₃	semidirect
744. #468	C₂²×C₁₃	semidirect
745. #467	C₂²×C₁₃	semidirect
746. #466	C₂²×C₁₃	semidirect
747. #466	C₂²×C₁₃	semidirect
748. #465	C₂²×C₁₃	semidirect
749. #464	C₂²×C₁₃	semidirect
750. #463	C₂²×C₁₃	semidirect
751. #463	C₂²×C₁₃	semidirect
752. #463	C₂²×C₁₃	semidirect
753. #463	C₂²×C₁₃	semidirect
754. #459	C₂²×C₁₃	semidirect
755. #452	C₂²×C₁₃	semidirect
756. #452	C₂²×C₁₃	semidirect
757. #451	C₂²×C₁₃	semidirect
758. #450	C₂²×C₁₃	semidirect
759. #450	C₂²×C₁₃	semidirect
760. #450	C₂²×C₁₃	semidirect
761. #450	C₂²×C₁₃	semidirect
762. #449	C₂²×C₁₃	semidirect
763. #449	C₂²×C₁₃	semidirect
764. #449	C₂²×C₁₃	semidirect
765. #449	C₂²×C₁₃	semidirect
766. #448	C₂²×C₁₃	semidirect
767. #448	C₂²×C₁₃	semidirect
768. #448	C₂²×C₁₃	semidirect
771. #447	C₂²×C₁₃	semidirect
772. #447	C₂²×C₁₃	semidirect
773. #447	C₂²×C₁₃	semidirect
774. #447	C₂²×C₁₃	semidirect
775. #447	C₂²×C₁₃	semidirect
776. #447	C₂²×C₁₃	semidirect
777. #447	C₂²×C₁₃	semidirect
778. #447	C₂²×C₁₃	semidirect
779. #442	C₂²×C₁₃	semidirect
780. #440	C₂²×C₁₃	semidirect
781. C₄×D₈	C₂²×C₁₃	semidirect
782. C₄×D₈	C₂²×C₁₃	semidirect
783. #436	C₂²×C₁₃	semidirect
784. #435	C₂²×C₁₃	semidirect
785. #435	C₂²×C₁₃	semidirect
786. C₈×D₄	C₂²×C₁₃	semidirect
787. #432	C₂²×C₁₃	semidirect
788. #431	C₂²×C₁₃	semidirect
789. #418	C₂²×C₁₃	semidirect
790. #417	C₂²×C₁₃	semidirect
791. #416	C₂²×C₁₃	semidirect
792. C₂×#102	C₂²×C₁₃	semidirect
793. #407	C₂²×C₁₃	semidirect
794. #407	C₂²×C₁₃	semidirect
795. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
796. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
861. C₂×#41	C₂³×C₁₃	semidirect
878. C₂²×D₄	C₂³×C₁₃	semidirect
886. C₂×Q₁₆	C₂³×C₁₃	semidirect
889. C₂×SD₁₆	C₂³×C₁₃	semidirect
890. C₂×SD₁₆	C₂³×C₁₃	semidirect
891. C₂×SD₁₆	C₂³×C₁₃	semidirect
900. C₂×M₁₆	C₂³×C₁₃	semidirect
902. C₂²×C₈	C₂³×C₁₃	semidirect
903. C₄⋊Q₈	C₂³×C₁₃	semidirect
905. #127	C₂³×C₁₃	semidirect
910. #125	C₂³×C₁₃	semidirect
918. #124	C₂³×C₁₃	semidirect
938. C₂²⋊Q₈	C₂³×C₁₃	semidirect
966. #121	C₂³×C₁₃	semidirect
967. #121	C₂³×C₁₃	semidirect
968. #121	C₂³×C₁₃	semidirect
979. C₄×Q₈	C₂³×C₁₃	semidirect
1002. C₄×D₄	C₂³×C₁₃	semidirect
1003. C₄×D₄	C₂³×C₁₃	semidirect
1004. C₄×D₄	C₂³×C₁₃	semidirect
1008. #117	C₂³×C₁₃	semidirect
1013. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
1030. #107	C₂³×C₁₃	semidirect
1031. #107	C₂³×C₁₃	semidirect
1032. #107	C₂³×C₁₃	semidirect
1033. #106	C₂³×C₁₃	semidirect
1034. C₄⋊C₈	C₂³×C₁₃	semidirect
1035. C₄⋊C₈	C₂³×C₁₃	semidirect
1036. #103	C₂³×C₁₃	semidirect
1037. #103	C₂³×C₁₃	semidirect
1038. #103	C₂³×C₁₃	semidirect
1039. #103	C₂³×C₁₃	semidirect
1040. #103	C₂³×C₁₃	semidirect
1049. #102	C₂³×C₁₃	semidirect
1050. #102	C₂³×C₁₃	semidirect
1051. #102	C₂³×C₁₃	semidirect
1058. C₂²⋊C₈	C₂³×C₁₃	semidirect
1059. C₂²⋊C₈	C₂³×C₁₃	semidirect
1060. #97	C₂³×C₁₃	semidirect
1061. C₄×C₈	C₂³×C₁₃	semidirect
1264. C₁₃	#61592	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×#3519	2
C₂×C₁₃×#546	2
C₁₃×#3322	2
C₁₃×#3319	2
C₁₃×#3314	2
C₁₃×#3297	2
C₁₃×#3280	2
C₁₃×#3273	2
C₁₃×#3268	2
C₁₃×#3264	2
C₁₃×#3213	2
C₁₃×#3211	2
C₁₃×#3194	2
C₁₃×#3193	2
C₁₃×#3190	2
C₁₃×#3186	2
C₁₃×#3114	2
C₁₃×#3100	2
C₁₃×#3006	2
C₁₃×#3003	2
C₁₃×#3002	2
C₂×C₁₃×#447	2
C₁₃×#2974	2
#61592	13

Subgroups — C13×#61592 #15747931

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61592 #15747931