Subgroups — C₁₃×#61991 #15748330

Order 3328.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3514	C₂	1	1	yes	maximal, characteristic
2	Q₈×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3295	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3248	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3215	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3117	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#464	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
25	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic
28	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#557	—	2	1	no	—
30	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#556	C₂²	1	1	yes	characteristic
32	C₁₃×#555	—	2	1	no	—
33	C₁₃×#554	—	2	1	no	—
34	C₁₃×#554	—	2	2	no	—
35	C₁₃×#554	C₂²	1	1	yes	characteristic
36	C₁₃×#554	C₂²	1	2	yes	complemented
37	C₁₃×#551	—	2	2	no	—
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#546	—	2	1	no	—
43	C₁₃×#546	C₂²	1	2	yes	—
44	D₄²×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#538	—	2	2	no	—
47	C₁₃×#533	—	2	2	no	—
48	C₁₃×#533	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#533	C₂²	1	2	yes	complemented
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#529	C₂²	1	1	yes	characteristic
53	C₁₃×#529	C₂²	1	2	yes	—
54	C₂×C₁₃×#124	C₂²	1	2	yes	—
55	C₁₃×#518	—	2	1	no	—
56	C₄×C₁₃×#41	—	2	1	no	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
59	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#497	C₂²	1	2	yes	—
61	C₁₃×#497	C₂²	1	2	yes	complemented
62	C₁₃×#494	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#489	C₂²	1	2	yes	complemented
66	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#486	C₂²	1	1	yes	characteristic
68	C₁₃×#484	C₂²	1	2	yes	complemented
69	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#481	C₂²	1	2	yes	—
71	C₁₃×#480	C₂²	1	1	yes	characteristic
72	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#479	C₂²	1	2	yes	complemented
75	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#476	C₂²	1	1	yes	characteristic
77	C₁₃×#475	C₂²	1	2	yes	complemented
78	C₁₃×#474	C₂²	1	2	yes	complemented
79	C₁₃×#470	C₂²	1	2	yes	complemented
80	C₁₃×#468	C₂²	1	2	yes	—
81	C₁₃×#467	C₂²	1	2	yes	complemented
82	C₁₃×#467	C₂²	1	2	yes	complemented
83	C₁₃×#465	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	1	yes	characteristic
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#464	C₂²	1	1	yes	characteristic
90	C₁₃×#464	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×#464	C₂²	1	2	yes	complemented
95	C₁₃×#464	C₂²	1	2	yes	complemented
96	C₁₃×#462	C₂²	1	2	yes	complemented
97	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#461	C₂²	1	1	yes	characteristic
101	C₁₃×#461	C₂²	1	2	yes	complemented
102	C₁₃×#460	C₂²	1	1	yes	characteristic
103	C₁₃×#460	C₂²	1	1	yes	characteristic
104	C₁₃×#452	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#451	C₂²	1	2	yes	complemented
107	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#451	C₂²	1	2	yes	complemented
109	C₁₃×#451	C₂²	1	2	yes	complemented
110	C₁₃×#450	C₂²	1	2	yes	—
111	C₁₃×#450	C₂²	1	2	yes	—
112	C₁₃×#448	C₂²	1	1	yes	characteristic
113	C₁₃×#448	C₂²	1	2	yes	—
114	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#441	C₂²	1	2	yes	complemented
117	C₁₃×#441	C₂²	1	2	yes	complemented
118	C₁₃×#440	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
123	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
127	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
128	C₁₃×#432	C₂²	1	2	yes	complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
132	C₁₃×#417	C₂²	1	2	yes	complemented
133	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#102	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
136	C₂×C₁₃×#41	C₂³	1	2	yes	—
137	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃	—	2	1	no	—
141	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
142	C₁₃×#137	—	4	4	no	—
143	C₂×C₁₃×Q₁₆	—	4	4	no	—
144	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	—	4	4	no	—
152	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
160	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	—	2	2	no	—
164	C₁₃×C₄⋊Q₈	—	2	1	no	—
165	C₁₃×C₄⋊Q₈	—	2	2	no	—
166	C₁₃×C₄⋊Q₈	—	2	1	no	—
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
169	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₃×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	C₂³	1	1	yes	characteristic
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	C₂³	1	1	yes	characteristic
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#124	C₂³	1	2	yes	—
190	C₁₃×#124	C₂³	1	2	yes	—
191	C₁₃×#123	—	2	1	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	1	yes	characteristic
218	C₁₃×#120	—	2	2	no	—
219	C₁₃×#120	—	2	2	no	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	2	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	—	2	1	no	—
225	C₄×Q₈×C₁₃	—	2	2	no	—
226	C₄×Q₈×C₁₃	—	2	2	no	—
227	C₄×Q₈×C₁₃	—	2	1	no	—
228	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
233	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
251	C₄×D₄×C₁₃	D₄	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₁₃×#117	—	2	2	no	—
257	C₁₃×#117	—	2	1	no	—
258	C₁₃×#117	—	2	1	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	2	no	—
261	C₁₃×#117	D₄	1	2	yes	—
262	C₁₃×#117	D₄	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
264	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
269	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
270	C₂×C₄²×C₁₃	—	2	2	no	—
271	C₂×C₄²×C₁₃	—	2	1	no	—
272	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	1	yes	characteristic
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₁₃×#97	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
315	#61991	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	2	no	—
317	C₁₃×#41	—	2	4	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₂×Q₈×C₁₃	—	2	1	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	4	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	4	2	no	—
328	C₂×Q₈×C₁₃	—	4	1	no	—
329	C₂×Q₈×C₁₃	—	4	2	no	—
330	C₂×Q₈×C₁₃	—	4	2	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
336	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	4	2	no	—
344	C₂×D₄×C₁₃	—	4	2	no	—
345	C₂×D₄×C₁₃	—	4	4	no	—
346	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
347	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
348	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
359	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
361	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₁₃×Q₁₆	—	2	2	no	—
365	C₁₃×Q₁₆	—	2	4	no	—
366	C₁₃×Q₁₆	—	4	2	no	—
367	C₁₃×Q₁₆	—	4	2	no	—
368	C₁₃×Q₁₆	—	4	1	no	—
369	C₁₃×Q₁₆	—	4	2	no	—
370	C₁₃×Q₁₆	—	4	2	no	—
371	C₁₃×SD₁₆	—	2	2	no	—
372	C₁₃×SD₁₆	—	2	4	no	—
373	C₁₃×SD₁₆	—	4	2	no	—
374	C₁₃×SD₁₆	—	4	2	no	—
375	C₁₃×SD₁₆	—	4	2	no	—
376	C₁₃×SD₁₆	—	4	1	no	—
377	C₁₃×SD₁₆	—	4	2	no	—
378	C₁₃×M₁₆	—	4	2	no	—
379	C₂×C₈×C₁₃	—	4	2	no	—
380	C₂×C₈×C₁₃	—	4	2	no	—
381	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
386	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
419	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	—	2	1	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	1	no	—
447	C₄²×C₁₃	—	2	2	no	—
448	C₄²×C₁₃	—	2	1	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	2	1	no	—
451	C₄²×C₁₃	C₂×D₄	1	2	yes	—
452	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₃	C₂×D₄	1	2	yes	—
455	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₃	C₂⁴	1	2	yes	—
457	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
458	#3514	C₂×C₁₃	1	1	yes	characteristic
459	Q₈×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3316	C₂×C₁₃	1	2	yes	complemented
465	#3314	C₂×C₁₃	1	2	yes	complemented
466	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3295	C₂×C₁₃	1	1	yes	characteristic, complemented
468	D₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
469	D₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3270	C₂×C₁₃	1	2	yes	complemented
471	#3266	C₂×C₁₃	1	2	yes	complemented
472	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3248	C₂×C₁₃	1	2	yes	complemented
474	#3215	C₂×C₁₃	1	2	yes	complemented
475	#3210	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3117	C₂×C₁₃	1	2	yes	complemented
477	#3108	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
479	C₂×#464	C₂×C₁₃	1	2	yes	complemented
480	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
481	C₂³×C₁₃	—	2	1	no	—
482	C₂³×C₁₃	—	2	2	no	—
483	C₂³×C₁₃	—	4	4	no	—
484	C₂³×C₁₃	—	8	2	no	—
485	C₂³×C₁₃	—	8	2	no	—
486	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
487	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
488	Q₈×C₁₃	—	2	2	no	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	2	2	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	2	1	no	—
493	Q₈×C₁₃	—	2	2	no	—
494	Q₈×C₁₃	—	2	2	no	—
495	Q₈×C₁₃	—	2	1	no	—
496	Q₈×C₁₃	—	2	1	no	—
497	Q₈×C₁₃	—	2	2	no	—
498	Q₈×C₁₃	—	4	2	no	—
499	Q₈×C₁₃	—	4	4	no	—
500	Q₈×C₁₃	—	8	2	no	—
501	Q₈×C₁₃	—	8	1	no	—
502	Q₈×C₁₃	—	8	2	no	—
503	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
504	D₄×C₁₃	—	2	4	no	—
505	D₄×C₁₃	—	2	1	no	—
506	D₄×C₁₃	—	2	2	no	—
507	D₄×C₁₃	—	2	1	no	—
508	D₄×C₁₃	—	2	2	no	—
509	D₄×C₁₃	—	4	4	no	—
510	D₄×C₁₃	—	4	2	no	—
511	D₄×C₁₃	—	8	1	no	—
512	D₄×C₁₃	—	8	2	no	—
513	D₄×C₁₃	—	8	1	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	#137	1	4	yes	complemented
516	C₂×C₄×C₁₃	—	2	4	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	2	no	—
532	C₂×C₄×C₁₃	—	4	2	no	—
533	C₂×C₄×C₁₃	—	4	1	no	—
534	C₂×C₄×C₁₃	—	4	4	no	—
535	C₂×C₄×C₁₃	—	4	2	no	—
536	C₂×C₄×C₁₃	—	4	2	no	—
537	C₂×C₄×C₁₃	—	8	2	no	—
538	C₂×C₄×C₁₃	—	8	2	no	—
539	C₂×C₄×C₁₃	—	8	2	no	—
540	C₂×C₄×C₁₃	—	8	1	no	—
541	C₂×C₄×C₁₃	—	8	2	no	—
542	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
544	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
545	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
546	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
551	C₈×C₁₃	—	2	1	no	—
552	C₈×C₁₃	—	2	1	no	—
553	C₈×C₁₃	—	2	2	no	—
554	C₈×C₁₃	—	2	2	no	—
555	C₈×C₁₃	—	2	1	no	—
556	C₈×C₁₃	—	2	1	no	—
557	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
558	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
559	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
560	#559	C₂²×C₁₃	1	1	yes	characteristic
561	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
562	#557	—	2	1	no	—
563	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
564	#556	C₂²×C₁₃	1	1	yes	characteristic
565	#555	—	2	1	no	—
566	#554	—	2	1	no	—
567	#554	—	2	2	no	—
568	#554	C₂²×C₁₃	1	1	yes	characteristic
569	#554	C₂²×C₁₃	1	2	yes	complemented
570	#551	—	2	2	no	—
571	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
572	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
573	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
574	#548	C₂²×C₁₃	1	2	yes	—
575	#546	—	2	1	no	—
576	#546	C₂²×C₁₃	1	2	yes	—
577	D₄²	C₂²×C₁₃	1	1	yes	characteristic
578	#542	—	2	1	no	—
579	#538	—	2	2	no	—
580	#533	—	2	2	no	—
581	#533	—	2	1	no	—
582	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#533	C₂²×C₁₃	1	2	yes	complemented
584	#532	C₂²×C₁₃	1	1	yes	characteristic
585	#529	C₂²×C₁₃	1	1	yes	characteristic
586	#529	C₂²×C₁₃	1	2	yes	—
587	C₂×#124	C₂²×C₁₃	1	2	yes	—
588	#518	—	2	1	no	—
589	C₄×#41	—	2	1	no	—
590	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
591	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
593	#497	C₂²×C₁₃	1	2	yes	—
594	#497	C₂²×C₁₃	1	2	yes	complemented
595	#494	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#492	C₂²×C₁₃	1	1	yes	characteristic
597	#489	C₂²×C₁₃	1	2	yes	—
598	#489	C₂²×C₁₃	1	2	yes	complemented
599	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#486	C₂²×C₁₃	1	1	yes	characteristic
601	#484	C₂²×C₁₃	1	2	yes	complemented
602	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#481	C₂²×C₁₃	1	2	yes	—
604	#480	C₂²×C₁₃	1	1	yes	characteristic
605	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#479	C₂²×C₁₃	1	2	yes	complemented
608	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#476	C₂²×C₁₃	1	1	yes	characteristic
610	#475	C₂²×C₁₃	1	2	yes	complemented
611	#474	C₂²×C₁₃	1	2	yes	complemented
612	#470	C₂²×C₁₃	1	2	yes	complemented
613	#468	C₂²×C₁₃	1	2	yes	—
614	#467	C₂²×C₁₃	1	2	yes	complemented
615	#467	C₂²×C₁₃	1	2	yes	complemented
616	#465	C₂²×C₁₃	1	2	yes	—
617	#465	C₂²×C₁₃	1	2	yes	—
618	#464	C₂²×C₁₃	1	1	yes	characteristic
619	#464	C₂²×C₁₃	1	1	yes	characteristic
620	#464	C₂²×C₁₃	1	2	yes	—
621	#464	C₂²×C₁₃	1	2	yes	—
622	#464	C₂²×C₁₃	1	2	yes	—
623	#464	C₂²×C₁₃	1	2	yes	complemented
624	#464	C₂²×C₁₃	1	2	yes	complemented
625	#464	C₂²×C₁₃	1	2	yes	complemented
626	#464	C₂²×C₁₃	1	2	yes	complemented
627	#464	C₂²×C₁₃	1	2	yes	complemented
628	#464	C₂²×C₁₃	1	2	yes	complemented
629	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#462	C₂²×C₁₃	1	2	yes	complemented
631	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#461	C₂²×C₁₃	1	1	yes	characteristic
634	#461	C₂²×C₁₃	1	2	yes	complemented
635	#460	C₂²×C₁₃	1	1	yes	characteristic
636	#460	C₂²×C₁₃	1	1	yes	characteristic
637	#452	C₂²×C₁₃	1	2	yes	complemented
638	#452	C₂²×C₁₃	1	2	yes	complemented
639	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#451	C₂²×C₁₃	1	2	yes	complemented
641	#451	C₂²×C₁₃	1	2	yes	complemented
642	#451	C₂²×C₁₃	1	2	yes	complemented
643	#450	C₂²×C₁₃	1	2	yes	—
644	#450	C₂²×C₁₃	1	2	yes	—
645	#448	C₂²×C₁₃	1	1	yes	characteristic
646	#448	C₂²×C₁₃	1	2	yes	—
647	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	#441	C₂²×C₁₃	1	2	yes	complemented
650	#441	C₂²×C₁₃	1	2	yes	complemented
651	#440	C₂²×C₁₃	1	2	yes	complemented
652	#440	C₂²×C₁₃	1	2	yes	complemented
653	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
656	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
657	#435	C₂²×C₁₃	1	2	yes	complemented
658	#435	C₂²×C₁₃	1	2	yes	complemented
659	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
660	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
661	#432	C₂²×C₁₃	1	2	yes	complemented
662	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
665	#417	C₂²×C₁₃	1	2	yes	complemented
666	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
667	C₂×#102	C₂²×C₁₃	1	2	yes	—
668	C₂²×C₁₃	—	2	2	no	—
669	C₂²×C₁₃	—	2	2	no	—
670	C₂²×C₁₃	—	2	1	no	—
671	C₂²×C₁₃	—	2	1	no	—
672	C₂²×C₁₃	—	2	1	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	—	4	2	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	1	no	—
678	C₂²×C₁₃	—	4	2	no	—
679	C₂²×C₁₃	—	16	4	no	—
680	C₂²×C₁₃	C₂×#137	1	4	yes	—
681	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
682	C₄×C₁₃	—	2	1	no	—
683	C₄×C₁₃	—	2	2	no	—
684	C₄×C₁₃	—	2	1	no	—
685	C₄×C₁₃	—	2	1	no	—
686	C₄×C₁₃	—	2	2	no	—
687	C₄×C₁₃	—	2	2	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	2	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	—	4	2	no	—
693	C₄×C₁₃	—	4	1	no	—
694	C₄×C₁₃	—	4	2	no	—
695	C₄×C₁₃	—	4	1	no	—
696	C₄×C₁₃	—	4	2	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	C₂×#137	1	2	yes	—
700	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
701	C₄×C₁₃	#585	1	1	yes	characteristic
702	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
703	C₂×#41	C₂³×C₁₃	1	2	yes	—
704	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
705	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
706	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
707	C₂²×D₄	—	2	1	no	—
708	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
709	#137	—	4	4	no	—
710	C₂×Q₁₆	—	4	4	no	—
711	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
714	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
715	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
716	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
717	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
718	C₂×SD₁₆	—	4	4	no	—
719	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
721	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
723	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
725	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
726	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
727	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
728	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
729	C₄⋊Q₈	—	2	1	no	—
730	C₄⋊Q₈	—	2	2	no	—
731	C₄⋊Q₈	—	2	1	no	—
732	C₄⋊Q₈	—	2	2	no	—
733	C₄⋊Q₈	—	2	1	no	—
734	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
736	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
737	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
738	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
739	#127	C₂³×C₁₃	1	1	yes	characteristic
740	#126	—	2	2	no	—
741	#126	—	2	2	no	—
742	#126	—	2	1	no	—
743	#125	—	2	1	no	—
744	#125	—	2	2	no	—
745	#125	—	2	1	no	—
746	#125	—	2	2	no	—
747	#125	—	2	1	no	—
748	#125	—	2	2	no	—
749	#125	C₂³×C₁₃	1	1	yes	characteristic
750	#124	—	2	1	no	—
751	#124	—	2	2	no	—
752	#124	—	2	2	no	—
753	#124	—	2	2	no	—
754	#124	C₂³×C₁₃	1	1	yes	characteristic
755	#124	C₂³×C₁₃	1	2	yes	—
756	#124	C₂³×C₁₃	1	2	yes	—
757	#124	C₂³×C₁₃	1	2	yes	—
758	#123	—	2	1	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
774	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
776	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
777	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
778	#121	—	2	2	no	—
779	#121	—	2	1	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	—	2	2	no	—
783	#121	C₂³×C₁₃	1	2	yes	—
784	#121	C₂³×C₁₃	1	1	yes	characteristic
785	#120	—	2	2	no	—
786	#120	—	2	2	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	2	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	2	no	—
793	C₄×Q₈	—	2	2	no	—
794	C₄×Q₈	—	2	1	no	—
795	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
799	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
800	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
801	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
802	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
803	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
804	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
805	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	2	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
818	C₄×D₄	D₄×C₁₃	1	2	yes	—
819	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₄×D₄	C₂³×C₁₃	1	2	yes	—
821	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
822	C₄×D₄	C₂³×C₁₃	1	2	yes	—
823	#117	—	2	2	no	—
824	#117	—	2	1	no	—
825	#117	—	2	1	no	—
826	#117	—	2	1	no	—
827	#117	—	2	2	no	—
828	#117	D₄×C₁₃	1	2	yes	—
829	#117	D₄×C₁₃	1	1	yes	characteristic
830	C₂×C₄⋊C₄	—	2	2	no	—
831	C₂×C₄⋊C₄	—	2	1	no	—
832	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
833	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
834	C₂×C₂²⋊C₄	—	2	2	no	—
835	C₂×C₂²⋊C₄	—	2	2	no	—
836	C₂×C₂²⋊C₄	—	2	2	no	—
837	C₂×C₄²	—	2	2	no	—
838	C₂×C₄²	—	2	1	no	—
839	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
840	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
841	#107	C₂³×C₁₃	1	1	yes	characteristic
842	#107	C₂³×C₁₃	1	1	yes	characteristic
843	#107	C₂³×C₁₃	1	2	yes	—
844	#106	C₂³×C₁₃	1	1	yes	characteristic
845	#106	C₂³×C₁₃	1	1	yes	characteristic
846	#106	C₂³×C₁₃	1	2	yes	—
847	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
848	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
849	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
851	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	2	yes	—
858	#103	C₂³×C₁₃	1	2	yes	—
859	#103	C₂³×C₁₃	1	1	yes	characteristic
860	#103	C₂³×C₁₃	1	1	yes	characteristic
861	#103	C₂³×C₁₃	1	1	yes	characteristic
862	#103	C₂³×C₁₃	1	1	yes	characteristic
863	#103	C₂³×C₁₃	1	1	yes	characteristic
864	#103	C₂³×C₁₃	1	2	yes	—
865	#103	C₂³×C₁₃	1	2	yes	—
866	#103	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	1	yes	characteristic
868	#102	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	2	yes	—
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	1	yes	characteristic
873	#102	C₂³×C₁₃	1	2	yes	—
874	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
877	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
878	#97	C₂³×C₁₃	1	2	yes	—
879	#97	C₂³×C₁₃	1	2	yes	—
880	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×C₁₃	—	2	4	no	—
883	C₂×C₁₃	—	4	1	no	—
884	C₂×C₁₃	—	8	2	no	—
885	C₂×C₁₃	—	8	1	no	—
886	C₂×C₁₃	#3488	1	1	yes	characteristic
887	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
888	C₂×C₁₃	#3584	1	1	yes	characteristic
889	C₂⁴	—	2	2	no	—
890	#41	—	2	4	no	—
891	#41	—	4	2	no	—
892	#41	—	4	2	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	2	no	—
895	C₂×Q₈	—	2	2	no	—
896	C₂×Q₈	—	2	1	no	—
897	C₂×Q₈	—	2	2	no	—
898	C₂×Q₈	—	2	4	no	—
899	C₂×Q₈	—	2	2	no	—
900	C₂×Q₈	—	4	2	no	—
901	C₂×Q₈	—	4	1	no	—
902	C₂×Q₈	—	4	2	no	—
903	C₂×Q₈	—	4	2	no	—
904	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
905	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
906	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
907	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
908	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
909	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	1	no	—
914	C₂×D₄	—	2	1	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	4	2	no	—
917	C₂×D₄	—	4	2	no	—
918	C₂×D₄	—	4	4	no	—
919	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
920	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
921	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
932	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
933	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
934	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
936	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
937	Q₁₆	—	2	2	no	—
938	Q₁₆	—	2	4	no	—
939	Q₁₆	—	4	2	no	—
940	Q₁₆	—	4	2	no	—
941	Q₁₆	—	4	2	no	—
942	Q₁₆	—	4	1	no	—
943	Q₁₆	—	4	2	no	—
944	SD₁₆	—	2	2	no	—
945	SD₁₆	—	2	4	no	—
946	SD₁₆	—	4	2	no	—
947	SD₁₆	—	4	2	no	—
948	SD₁₆	—	4	2	no	—
949	SD₁₆	—	4	2	no	—
950	SD₁₆	—	4	1	no	—
951	M₁₆	—	4	2	no	—
952	C₂×C₈	—	4	2	no	—
953	C₂×C₈	—	4	2	no	—
954	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
955	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
956	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
959	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
987	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
989	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
990	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
994	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1013	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1014	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1015	C₄²	—	2	1	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	1	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1025	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1026	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1027	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1028	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1029	C₄²	C₂⁴×C₁₃	1	2	yes	—
1030	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₁₃	#61991	1	1	yes	characteristic, direct product factor, Sylow
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	2	no	—
1034	C₂³	—	4	4	no	—
1035	C₂³	—	8	2	no	—
1036	C₂³	—	8	2	no	—
1037	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1038	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1039	Q₈	—	2	2	no	—
1040	Q₈	—	2	1	no	—
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	1	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	2	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	2	1	no	—
1048	Q₈	—	2	2	no	—
1049	Q₈	—	4	2	no	—
1050	Q₈	—	4	4	no	—
1051	Q₈	—	8	2	no	—
1052	Q₈	—	8	2	no	—
1053	Q₈	—	8	1	no	—
1054	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1055	D₄	—	2	4	no	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	2	no	—
1058	D₄	—	2	1	no	—
1059	D₄	—	2	2	no	—
1060	D₄	—	4	4	no	—
1061	D₄	—	4	2	no	—
1062	D₄	—	8	2	no	—
1063	D₄	—	8	1	no	—
1064	D₄	—	8	1	no	—
1065	D₄	—	8	2	no	—
1066	D₄	C₁₃×#137	1	4	yes	complemented
1067	C₂×C₄	—	2	4	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	1	no	—
1085	C₂×C₄	—	4	4	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	4	2	no	—
1088	C₂×C₄	—	8	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	1	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1094	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1095	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1096	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1097	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1098	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1099	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1100	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1101	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1102	C₈	—	2	1	no	—
1103	C₈	—	2	1	no	—
1104	C₈	—	2	2	no	—
1105	C₈	—	2	2	no	—
1106	C₈	—	2	1	no	—
1107	C₈	—	2	1	no	—
1108	C₂²	—	2	2	no	—
1109	C₂²	—	2	2	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	16	4	no	—
1120	C₂²	C₂×C₁₃×#137	1	4	yes	—
1121	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1122	C₄	—	2	1	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	2	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	2	no	—
1138	C₄	—	4	1	no	—
1139	C₄	C₂×C₁₃×#137	1	2	yes	—
1140	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1141	C₄	C₁₃×#585	1	1	yes	characteristic
1142	C₂	—	2	4	no	—
1143	C₂	—	4	1	no	—
1144	C₂	—	8	1	no	—
1145	C₂	—	8	2	no	—
1146	C₂	C₁₃×#3488	1	1	yes	characteristic
1147	C₂	C₂²×C₁₃×#137	1	1	yes	characteristic
1148	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3514	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
2. Q₈×C₁₃×#41	C₂	semidirect
3. C₁₃×#3400	C₂	semidirect
4. C₁₃×#3398	C₂	semidirect
5. C₁₃×#3375	C₂	semidirect
6. C₁₃×#3369	C₂	semidirect
7. C₁₃×#3316	C₂	semidirect
8. C₁₃×#3314	C₂	semidirect
9. C₁₃×#3299	C₂	semidirect
10. C₁₃×#3295	C₂	semidirect
11. D₄×C₁₃×Q₁₆	C₂	semidirect
12. D₄×C₁₃×SD₁₆	C₂	semidirect
13. C₁₃×#3270	C₂	semidirect
14. C₁₃×#3266	C₂	semidirect
15. C₁₃×#3252	C₂	semidirect
16. C₁₃×#3248	C₂	semidirect
17. C₁₃×#3215	C₂	semidirect
18. C₁₃×#3210	C₂	semidirect
19. C₁₃×#3117	C₂	semidirect
20. C₁₃×#3108	C₂	semidirect
21. C₁₃×#3037	C₂	semidirect
22. C₂×C₁₃×#464	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
24. C₂×C₁₃×#137	C₂²	semidirect
25. C₂²×C₁₃×Q₁₆	C₂²	semidirect
28. Q₈²×C₁₃	C₂²	semidirect
30. C₁₃×#557	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
40. D₄×Q₈×C₁₃	C₂²	semidirect
49. C₁₃×#533	C₂²	semidirect
50. C₁₃×#533	C₂²	semidirect
58. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
59. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
61. C₁₃×#497	C₂²	semidirect
62. C₁₃×#494	C₂²	semidirect
65. C₁₃×#489	C₂²	semidirect
66. C₁₃×#487	C₂²	semidirect
68. C₁₃×#484	C₂²	semidirect
69. C₁₃×#483	C₂²	semidirect
72. C₁₃×#479	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
74. C₁₃×#479	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
79. C₁₃×#470	C₂²	semidirect
81. C₁₃×#467	C₂²	semidirect
82. C₁₃×#467	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#464	C₂²	semidirect
94. C₁₃×#464	C₂²	semidirect
95. C₁₃×#464	C₂²	semidirect
96. C₁₃×#462	C₂²	semidirect
97. C₁₃×#462	C₂²	semidirect
98. C₁₃×#462	C₂²	semidirect
99. C₁₃×#462	C₂²	semidirect
101. C₁₃×#461	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#451	C₂²	semidirect
107. C₁₃×#451	C₂²	semidirect
108. C₁₃×#451	C₂²	semidirect
109. C₁₃×#451	C₂²	semidirect
114. C₁₃×#446	C₂²	semidirect
115. C₁₃×#446	C₂²	semidirect
116. C₁₃×#441	C₂²	semidirect
117. C₁₃×#441	C₂²	semidirect
118. C₁₃×#440	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×Q₁₆	C₂²	semidirect
121. C₄×C₁₃×Q₁₆	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#423	C₂²	semidirect
131. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
132. C₁₃×#417	C₂²	semidirect
133. C₂×C₁₃×#103	C₂²	semidirect
315. #61991	C₁₃	direct (N × H)
459. Q₈×#41	C₂×C₁₃	semidirect
460. #3400	C₂×C₁₃	semidirect
461. #3398	C₂×C₁₃	semidirect
462. #3375	C₂×C₁₃	semidirect
463. #3369	C₂×C₁₃	semidirect
464. #3316	C₂×C₁₃	semidirect
465. #3314	C₂×C₁₃	semidirect
466. #3299	C₂×C₁₃	semidirect
467. #3295	C₂×C₁₃	semidirect
468. D₄×Q₁₆	C₂×C₁₃	semidirect
469. D₄×SD₁₆	C₂×C₁₃	semidirect
470. #3270	C₂×C₁₃	semidirect
471. #3266	C₂×C₁₃	semidirect
472. #3252	C₂×C₁₃	semidirect
473. #3248	C₂×C₁₃	semidirect
474. #3215	C₂×C₁₃	semidirect
475. #3210	C₂×C₁₃	semidirect
476. #3117	C₂×C₁₃	semidirect
477. #3108	C₂×C₁₃	semidirect
478. #3037	C₂×C₁₃	semidirect
479. C₂×#464	C₂×C₁₃	semidirect
480. #2990	C₂×C₁₃	semidirect
515. D₄×C₁₃	#137	semidirect
557. C₂×#137	C₂²×C₁₃	semidirect
558. C₂²×Q₁₆	C₂²×C₁₃	semidirect
561. Q₈²	C₂²×C₁₃	semidirect
563. #557	C₂²×C₁₃	semidirect
569. #554	C₂²×C₁₃	semidirect
573. D₄×Q₈	C₂²×C₁₃	semidirect
582. #533	C₂²×C₁₃	semidirect
583. #533	C₂²×C₁₃	semidirect
591. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
592. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
594. #497	C₂²×C₁₃	semidirect
595. #494	C₂²×C₁₃	semidirect
598. #489	C₂²×C₁₃	semidirect
599. #487	C₂²×C₁₃	semidirect
601. #484	C₂²×C₁₃	semidirect
602. #483	C₂²×C₁₃	semidirect
605. #479	C₂²×C₁₃	semidirect
606. #479	C₂²×C₁₃	semidirect
607. #479	C₂²×C₁₃	semidirect
608. #477	C₂²×C₁₃	semidirect
610. #475	C₂²×C₁₃	semidirect
611. #474	C₂²×C₁₃	semidirect
612. #470	C₂²×C₁₃	semidirect
614. #467	C₂²×C₁₃	semidirect
615. #467	C₂²×C₁₃	semidirect
623. #464	C₂²×C₁₃	semidirect
624. #464	C₂²×C₁₃	semidirect
625. #464	C₂²×C₁₃	semidirect
626. #464	C₂²×C₁₃	semidirect
627. #464	C₂²×C₁₃	semidirect
628. #464	C₂²×C₁₃	semidirect
629. #462	C₂²×C₁₃	semidirect
630. #462	C₂²×C₁₃	semidirect
631. #462	C₂²×C₁₃	semidirect
632. #462	C₂²×C₁₃	semidirect
634. #461	C₂²×C₁₃	semidirect
637. #452	C₂²×C₁₃	semidirect
638. #452	C₂²×C₁₃	semidirect
639. #451	C₂²×C₁₃	semidirect
640. #451	C₂²×C₁₃	semidirect
641. #451	C₂²×C₁₃	semidirect
642. #451	C₂²×C₁₃	semidirect
647. #446	C₂²×C₁₃	semidirect
648. #446	C₂²×C₁₃	semidirect
649. #441	C₂²×C₁₃	semidirect
650. #441	C₂²×C₁₃	semidirect
651. #440	C₂²×C₁₃	semidirect
652. #440	C₂²×C₁₃	semidirect
653. C₄×Q₁₆	C₂²×C₁₃	semidirect
654. C₄×Q₁₆	C₂²×C₁₃	semidirect
657. #435	C₂²×C₁₃	semidirect
658. #435	C₂²×C₁₃	semidirect
661. #432	C₂²×C₁₃	semidirect
662. #431	C₂²×C₁₃	semidirect
663. #423	C₂²×C₁₃	semidirect
664. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
665. #417	C₂²×C₁₃	semidirect
666. C₂×#103	C₂²×C₁₃	semidirect
1031. C₁₃	#61991	direct (N × H)
1066. D₄	C₁₃×#137	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#3514	2
Q₈×C₁₃×#41	2
C₁₃×#3400	2
C₁₃×#3398	2
C₁₃×#3375	2
C₁₃×#3369	2
C₁₃×#3316	2
C₁₃×#3314	2
C₁₃×#3299	2
C₁₃×#3295	2
D₄×C₁₃×Q₁₆	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3270	2
C₁₃×#3266	2
C₁₃×#3252	2
C₁₃×#3248	2
C₁₃×#3215	2
C₁₃×#3210	2
C₁₃×#3117	2
C₁₃×#3108	2
C₁₃×#3037	2
C₂×C₁₃×#464	2
C₁₃×#2990	2
#61991	13

Subgroups — C13×#61991 #15748330

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61991 #15748330