Subgroups — C₁₃×#60761 #15747100

Order 3328.

2140 conjugacy classes of subgroups.

The subgroup lattice has 1290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3449	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3204	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3203	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3197	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3196	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3191	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3190	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3095	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3059	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3057	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2880	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
33	D₄×Q₈×C₁₃	—	2	1	no	—
34	C₁₃×#548	—	2	1	no	—
35	C₁₃×#547	—	2	2	no	—
36	C₁₃×#547	—	2	1	no	—
37	C₁₃×#546	—	2	2	no	—
38	C₁₃×#546	—	2	1	no	—
39	C₁₃×#537	C₂²	1	1	yes	characteristic
40	C₁₃×#537	C₂²	1	2	yes	—
41	C₁₃×#537	C₂²	1	2	yes	—
42	C₁₃×#537	C₂²	1	2	yes	complemented
43	C₁₃×#536	—	2	1	no	—
44	C₁₃×#536	C₂²	1	1	yes	characteristic
45	C₁₃×#536	C₂²	1	1	yes	characteristic
46	C₁₃×#536	C₂²	1	1	yes	characteristic
47	C₁₃×#536	C₂²	1	2	yes	complemented
48	C₁₃×#535	—	2	1	no	—
49	C₁₃×#535	C₂²	1	1	yes	characteristic
50	C₁₃×#535	C₂²	1	1	yes	characteristic
51	C₁₃×#534	—	2	2	no	—
52	C₁₃×#532	—	2	1	no	—
53	C₁₃×#532	—	2	1	no	—
54	C₁₃×#525	—	2	2	no	—
55	C₁₃×#525	C₂²	1	1	yes	characteristic
56	C₁₃×#525	C₂²	1	2	yes	—
57	C₁₃×#525	C₂²	1	2	yes	—
58	C₁₃×#525	C₂²	1	2	yes	complemented
59	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
61	C₁₃×#520	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
63	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#485	C₂²	1	2	yes	complemented
66	C₁₃×#485	C₂²	1	2	yes	complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#485	C₂²	1	2	yes	complemented
69	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#484	C₂²	1	2	yes	complemented
71	C₁₃×#484	C₂²	1	2	yes	complemented
72	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#483	C₂²	1	2	yes	complemented
74	C₁₃×#483	C₂²	1	2	yes	complemented
75	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#482	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#481	C₂²	1	2	yes	complemented
81	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#480	C₂²	1	2	yes	complemented
83	C₁₃×#470	C₂²	1	2	yes	complemented
84	C₁₃×#470	C₂²	1	2	yes	complemented
85	C₁₃×#470	C₂²	1	2	yes	complemented
86	C₁₃×#469	C₂²	1	2	yes	complemented
87	C₁₃×#468	C₂²	1	2	yes	complemented
88	C₁₃×#468	C₂²	1	2	yes	complemented
89	C₁₃×#468	C₂²	1	2	yes	complemented
90	C₁₃×#468	C₂²	1	2	yes	complemented
91	C₁₃×#467	C₂²	1	2	yes	complemented
92	C₁₃×#467	C₂²	1	2	yes	complemented
93	C₁₃×#467	C₂²	1	2	yes	complemented
94	C₁₃×#466	C₂²	1	2	yes	complemented
95	C₁₃×#465	C₂²	1	2	yes	complemented
96	C₁₃×#465	C₂²	1	2	yes	complemented
97	C₁₃×#465	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#452	C₂²	1	2	yes	—
100	C₁₃×#452	C₂²	1	2	yes	—
101	C₁₃×#452	C₂²	1	2	yes	—
102	C₁₃×#452	C₂²	1	2	yes	complemented
103	C₁₃×#452	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#452	C₂²	1	2	yes	complemented
107	C₁₃×#451	C₂²	1	2	yes	complemented
108	C₁₃×#451	C₂²	1	2	yes	complemented
109	C₁₃×#449	C₂²	1	2	yes	—
110	C₁₃×#449	C₂²	1	2	yes	complemented
111	C₁₃×#449	C₂²	1	2	yes	complemented
112	C₁₃×#449	C₂²	1	2	yes	complemented
113	C₁₃×#448	C₂²	1	2	yes	complemented
114	C₁₃×#448	C₂²	1	2	yes	complemented
115	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#408	C₂²	1	1	yes	characteristic
128	C₁₃×#408	C₂²	1	1	yes	characteristic
129	C₁₃×#408	C₂²	1	2	yes	complemented
130	C₁₃×#408	C₂²	1	2	yes	complemented
131	C₁₃×#407	C₂²	1	1	yes	characteristic
132	C₁₃×#407	C₂²	1	2	yes	complemented
133	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
135	C₁₃×2₋¹⁺⁴	—	4	2	no	—
136	C₁₃×2₋¹⁺⁴	—	4	2	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	4	2	no	—
142	C₂×C₁₃×#41	—	4	2	no	—
143	C₂×C₁₃×#41	—	4	2	no	—
144	C₂×C₁₃×#41	—	4	2	no	—
145	C₂×C₁₃×#41	D₄	1	2	yes	—
146	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
147	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
148	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×#41	C₂³	1	2	yes	—
150	C₂×C₁₃×#41	C₂³	1	2	yes	—
151	C₂×C₁₃×#41	C₂³	1	2	yes	—
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×#41	C₂³	1	2	yes	—
155	C₂²×Q₈×C₁₃	—	2	1	no	—
156	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
157	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₁₃	—	2	1	no	—
161	C₂²×D₄×C₁₃	D₄	1	2	yes	—
162	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
163	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃	—	2	1	no	—
165	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
167	C₁₃×#137	—	4	2	no	—
168	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
169	C₂×C₁₃×Q₁₆	—	4	2	no	—
170	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
171	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
172	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
173	C₂×C₁₃×SD₁₆	—	4	2	no	—
174	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
175	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
176	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
177	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
178	C₂×C₁₃×D₈	C₂³	1	2	yes	—
179	C₁₃×#131	—	4	2	no	—
180	C₁₃×#131	—	4	2	no	—
181	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
182	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
183	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
184	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
185	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
186	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
187	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
188	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
189	C₁₃×C₄⋊Q₈	—	2	1	no	—
190	C₁₃×C₄⋊Q₈	—	2	1	no	—
191	C₁₃×C₄⋊Q₈	—	2	1	no	—
192	C₁₃×C₄⋊Q₈	—	2	2	no	—
193	C₁₃×#127	—	2	1	no	—
194	C₁₃×#127	—	2	1	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	—	2	1	no	—
200	C₁₃×#124	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	2	no	—
208	C₁₃×#123	—	2	1	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	2	2	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	2	no	—
217	C₁₃×C₂²⋊Q₈	—	2	2	no	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
227	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	2	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	2	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	2	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	—	2	2	no	—
238	C₁₃×#121	—	2	2	no	—
239	C₁₃×#121	—	2	2	no	—
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₁₃×#121	C₂³	1	1	yes	characteristic
243	C₁₃×#121	C₂³	1	1	yes	characteristic
244	C₁₃×#121	C₂³	1	2	yes	—
245	C₁₃×#121	C₂³	1	2	yes	—
246	C₁₃×#121	C₂³	1	2	yes	—
247	C₁₃×#120	—	2	2	no	—
248	C₁₃×#120	—	2	2	no	—
249	C₁₃×#120	—	2	1	no	—
250	C₁₃×#120	—	2	2	no	—
251	C₁₃×#120	—	2	2	no	—
252	C₁₃×#120	—	2	2	no	—
253	C₄×Q₈×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	2	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	2	no	—
257	C₄×D₄×C₁₃	—	2	2	no	—
258	C₄×D₄×C₁₃	—	2	2	no	—
259	C₄×D₄×C₁₃	—	2	2	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	2	no	—
263	C₄×D₄×C₁₃	—	2	2	no	—
264	C₁₃×#117	—	2	1	no	—
265	C₁₃×#117	—	2	1	no	—
266	C₁₃×#117	C₂³	1	1	yes	characteristic
267	C₁₃×#117	C₂³	1	1	yes	characteristic
268	C₁₃×#117	C₂³	1	1	yes	characteristic
269	C₁₃×#117	C₂³	1	2	yes	—
270	C₁₃×#117	C₂³	1	1	yes	characteristic
271	C₁₃×#117	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
273	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
276	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
279	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
280	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
281	C₂×C₄²×C₁₃	—	2	1	no	—
282	C₁₃×#107	C₂³	1	1	yes	characteristic
283	C₁₃×#107	C₂³	1	1	yes	characteristic
284	C₁₃×#107	C₂³	1	1	yes	characteristic
285	C₁₃×#107	C₂³	1	1	yes	characteristic
286	C₁₃×#107	C₂³	1	2	yes	—
287	C₁₃×#107	C₂³	1	2	yes	—
288	C₁₃×#106	C₂³	1	1	yes	characteristic
289	C₁₃×#106	C₂³	1	1	yes	characteristic
290	C₁₃×#106	C₂³	1	1	yes	characteristic
291	C₁₃×#106	C₂³	1	1	yes	characteristic
292	C₁₃×#106	C₂³	1	2	yes	—
293	C₁₃×#106	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	1	yes	characteristic
297	C₁₃×#103	C₂³	1	1	yes	characteristic
298	C₁₃×#103	C₂³	1	1	yes	characteristic
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#103	C₂³	1	2	yes	—
303	C₁₃×#103	C₂³	1	2	yes	—
304	C₁₃×#103	C₂³	1	2	yes	—
305	C₁₃×#103	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	1	yes	characteristic
309	C₁₃×#102	C₂³	1	1	yes	characteristic
310	C₁₃×#102	C₂³	1	1	yes	characteristic
311	C₁₃×#102	C₂³	1	1	yes	characteristic
312	C₁₃×#102	C₂³	1	2	yes	—
313	C₁₃×#102	C₂³	1	2	yes	—
314	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
320	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
323	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
324	#60761	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
325	C₂⁴×C₁₃	—	2	1	no	—
326	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
327	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
328	C₁₃×#41	—	2	2	no	—
329	C₁₃×#41	—	2	2	no	—
330	C₁₃×#41	—	2	2	no	—
331	C₁₃×#41	—	2	2	no	—
332	C₁₃×#41	—	2	2	no	—
333	C₁₃×#41	—	2	2	no	—
334	C₁₃×#41	—	4	2	no	—
335	C₁₃×#41	—	4	2	no	—
336	C₁₃×#41	—	4	4	no	—
337	C₁₃×#41	—	4	2	no	—
338	C₁₃×#41	—	4	2	no	—
339	C₁₃×#41	—	4	2	no	—
340	C₁₃×#41	—	4	2	no	—
341	C₁₃×#41	—	4	2	no	—
342	C₁₃×#41	—	4	2	no	—
343	C₁₃×#41	—	4	2	no	—
344	C₁₃×#41	—	4	2	no	—
345	C₁₃×#41	—	4	4	no	—
346	C₁₃×#41	—	4	4	no	—
347	C₁₃×#41	—	4	8	no	—
348	C₁₃×#41	—	4	4	no	—
349	C₂×Q₈×C₁₃	—	2	2	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	1	no	—
352	C₂×Q₈×C₁₃	—	2	2	no	—
353	C₂×Q₈×C₁₃	—	2	2	no	—
354	C₂×Q₈×C₁₃	—	2	2	no	—
355	C₂×Q₈×C₁₃	—	2	2	no	—
356	C₂×Q₈×C₁₃	—	4	2	no	—
357	C₂×Q₈×C₁₃	—	4	2	no	—
358	C₂×Q₈×C₁₃	—	4	2	no	—
359	C₂×Q₈×C₁₃	—	4	4	no	—
360	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
361	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
362	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
363	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
364	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	2	no	—
368	C₂×D₄×C₁₃	—	2	2	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	2	no	—
371	C₂×D₄×C₁₃	—	2	2	no	—
372	C₂×D₄×C₁₃	—	2	2	no	—
373	C₂×D₄×C₁₃	—	2	2	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	2	1	no	—
377	C₂×D₄×C₁₃	—	2	1	no	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	4	2	no	—
381	C₂×D₄×C₁₃	—	4	4	no	—
382	C₂×D₄×C₁₃	—	4	4	no	—
383	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
384	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
385	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
386	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
387	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
388	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
389	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
390	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
392	C₂²×C₄×C₁₃	—	2	2	no	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	2	2	no	—
395	C₂²×C₄×C₁₃	—	2	1	no	—
396	C₂²×C₄×C₁₃	—	2	1	no	—
397	C₂²×C₄×C₁₃	—	2	1	no	—
398	C₂²×C₄×C₁₃	—	2	1	no	—
399	C₂²×C₄×C₁₃	—	2	2	no	—
400	C₂²×C₄×C₁₃	—	2	1	no	—
401	C₂²×C₄×C₁₃	—	2	2	no	—
402	C₂²×C₄×C₁₃	—	2	2	no	—
403	C₂²×C₄×C₁₃	—	2	1	no	—
404	C₂²×C₄×C₁₃	—	2	2	no	—
405	C₂²×C₄×C₁₃	—	4	2	no	—
406	C₂²×C₄×C₁₃	—	4	2	no	—
407	C₂²×C₄×C₁₃	—	4	4	no	—
408	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
412	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
413	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₁₃×Q₁₆	—	4	2	no	—
420	C₁₃×Q₁₆	—	4	2	no	—
421	C₁₃×Q₁₆	—	4	2	no	—
422	C₁₃×SD₁₆	—	4	2	no	—
423	C₁₃×SD₁₆	—	4	2	no	—
424	C₁₃×SD₁₆	—	4	2	no	—
425	C₁₃×SD₁₆	—	4	2	no	—
426	C₁₃×D₈	—	4	2	no	—
427	C₁₃×M₁₆	—	2	2	no	—
428	C₁₃×M₁₆	—	2	2	no	—
429	C₁₃×M₁₆	—	4	2	no	—
430	C₁₃×M₁₆	—	4	2	no	—
431	C₂×C₈×C₁₃	—	2	2	no	—
432	C₂×C₈×C₁₃	—	2	2	no	—
433	C₂×C₈×C₁₃	—	4	2	no	—
434	C₂×C₈×C₁₃	—	4	2	no	—
435	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
436	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
437	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
438	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
439	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
441	C₁₃×C₄⋊C₄	—	2	2	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	—	2	2	no	—
444	C₁₃×C₄⋊C₄	—	2	2	no	—
445	C₁₃×C₄⋊C₄	—	2	2	no	—
446	C₁₃×C₄⋊C₄	—	2	1	no	—
447	C₁₃×C₄⋊C₄	—	2	1	no	—
448	C₁₃×C₄⋊C₄	—	2	2	no	—
449	C₁₃×C₄⋊C₄	—	2	1	no	—
450	C₁₃×C₄⋊C₄	—	2	2	no	—
451	C₁₃×C₄⋊C₄	—	2	2	no	—
452	C₁₃×C₄⋊C₄	—	2	2	no	—
453	C₁₃×C₄⋊C₄	—	2	2	no	—
454	C₁₃×C₄⋊C₄	—	2	2	no	—
455	C₁₃×C₄⋊C₄	—	2	1	no	—
456	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
458	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
459	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
460	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
461	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
462	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
463	C₁₃×C₂²⋊C₄	—	2	2	no	—
464	C₁₃×C₂²⋊C₄	—	2	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	2	no	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	2	no	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	2	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	—	2	2	no	—
478	C₁₃×C₂²⋊C₄	—	2	2	no	—
479	C₁₃×C₂²⋊C₄	—	2	1	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	2	no	—
482	C₁₃×C₂²⋊C₄	—	2	2	no	—
483	C₁₃×C₂²⋊C₄	—	2	2	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	2	2	no	—
486	C₁₃×C₂²⋊C₄	—	2	1	no	—
487	C₄²×C₁₃	—	2	1	no	—
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	1	no	—
490	C₄²×C₁₃	—	2	1	no	—
491	C₄²×C₁₃	—	2	2	no	—
492	C₄²×C₁₃	—	2	1	no	—
493	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
494	#3449	C₂×C₁₃	1	1	yes	characteristic, complemented
495	#3204	C₂×C₁₃	1	2	yes	complemented
496	#3203	C₂×C₁₃	1	2	yes	complemented
497	#3201	C₂×C₁₃	1	2	yes	complemented
498	#3201	C₂×C₁₃	1	2	yes	complemented
499	#3197	C₂×C₁₃	1	2	yes	complemented
500	#3196	C₂×C₁₃	1	2	yes	complemented
501	#3191	C₂×C₁₃	1	2	yes	complemented
502	#3190	C₂×C₁₃	1	2	yes	complemented
503	#3097	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3095	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#3091	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
508	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3059	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3057	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3011	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3005	C₂×C₁₃	1	1	yes	characteristic, complemented
514	C₂×#452	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#2880	C₂×C₁₃	1	1	yes	characteristic, complemented
516	C₂³×C₁₃	—	2	2	no	—
517	C₂³×C₁₃	—	2	1	no	—
518	C₂³×C₁₃	—	2	2	no	—
519	C₂³×C₁₃	—	4	2	no	—
520	C₂³×C₁₃	—	4	1	no	—
521	C₂³×C₁₃	—	4	1	no	—
522	C₂³×C₁₃	—	4	2	no	—
523	C₂³×C₁₃	—	4	2	no	—
524	C₂³×C₁₃	—	4	2	no	—
525	C₂³×C₁₃	—	8	1	no	—
526	C₂³×C₁₃	—	8	1	no	—
527	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
529	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
530	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
531	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	Q₈×C₁₃	—	2	2	no	—
533	Q₈×C₁₃	—	2	2	no	—
534	Q₈×C₁₃	—	2	2	no	—
535	Q₈×C₁₃	—	2	1	no	—
536	Q₈×C₁₃	—	2	2	no	—
537	Q₈×C₁₃	—	2	2	no	—
538	Q₈×C₁₃	—	2	2	no	—
539	Q₈×C₁₃	—	2	1	no	—
540	Q₈×C₁₃	—	4	2	no	—
541	Q₈×C₁₃	—	4	4	no	—
542	Q₈×C₁₃	—	4	2	no	—
543	Q₈×C₁₃	—	4	2	no	—
544	D₄×C₁₃	—	2	4	no	—
545	D₄×C₁₃	—	2	4	no	—
546	D₄×C₁₃	—	2	2	no	—
547	D₄×C₁₃	—	2	2	no	—
548	D₄×C₁₃	—	2	1	no	—
549	D₄×C₁₃	—	2	2	no	—
550	D₄×C₁₃	—	2	2	no	—
551	D₄×C₁₃	—	2	1	no	—
552	D₄×C₁₃	—	4	2	no	—
553	D₄×C₁₃	—	4	2	no	—
554	D₄×C₁₃	—	4	2	no	—
555	D₄×C₁₃	—	4	2	no	—
556	D₄×C₁₃	—	4	4	no	—
557	D₄×C₁₃	—	4	4	no	—
558	D₄×C₁₃	—	4	4	no	—
559	D₄×C₁₃	—	4	2	no	—
560	D₄×C₁₃	—	4	2	no	—
561	D₄×C₁₃	—	8	1	no	—
562	D₄×C₁₃	—	8	2	no	—
563	D₄×C₁₃	—	8	2	no	—
564	D₄×C₁₃	—	8	2	no	—
565	D₄×C₁₃	—	8	2	no	—
566	D₄×C₁₃	—	8	2	no	—
567	C₂×C₄×C₁₃	—	2	2	no	—
568	C₂×C₄×C₁₃	—	2	2	no	—
569	C₂×C₄×C₁₃	—	2	2	no	—
570	C₂×C₄×C₁₃	—	2	2	no	—
571	C₂×C₄×C₁₃	—	2	2	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	2	no	—
586	C₂×C₄×C₁₃	—	2	2	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	4	2	no	—
589	C₂×C₄×C₁₃	—	4	2	no	—
590	C₂×C₄×C₁₃	—	4	2	no	—
591	C₂×C₄×C₁₃	—	4	4	no	—
592	C₂×C₄×C₁₃	—	4	4	no	—
593	C₂×C₄×C₁₃	—	4	4	no	—
594	C₂×C₄×C₁₃	—	4	4	no	—
595	C₂×C₄×C₁₃	—	4	2	no	—
596	C₂×C₄×C₁₃	—	4	2	no	—
597	C₂×C₄×C₁₃	—	4	2	no	—
598	C₂×C₄×C₁₃	—	8	1	no	—
599	C₂×C₄×C₁₃	—	8	2	no	—
600	C₂×C₄×C₁₃	—	8	1	no	—
601	C₂×C₄×C₁₃	—	8	1	no	—
602	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
603	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
604	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
605	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
606	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
607	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
608	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
609	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
610	C₈×C₁₃	—	2	1	no	—
611	C₈×C₁₃	—	2	1	no	—
612	C₈×C₁₃	—	2	1	no	—
613	C₈×C₁₃	—	2	1	no	—
614	C₈×C₁₃	—	2	2	no	—
615	C₈×C₁₃	—	2	2	no	—
616	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
617	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
618	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
619	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
623	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
624	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
625	D₄×Q₈	—	2	1	no	—
626	#548	—	2	1	no	—
627	#547	—	2	2	no	—
628	#547	—	2	1	no	—
629	#546	—	2	2	no	—
630	#546	—	2	1	no	—
631	#537	C₂²×C₁₃	1	2	yes	—
632	#537	C₂²×C₁₃	1	2	yes	—
633	#537	C₂²×C₁₃	1	1	yes	characteristic
634	#537	C₂²×C₁₃	1	2	yes	complemented
635	#536	—	2	1	no	—
636	#536	C₂²×C₁₃	1	1	yes	characteristic
637	#536	C₂²×C₁₃	1	1	yes	characteristic
638	#536	C₂²×C₁₃	1	1	yes	characteristic
639	#536	C₂²×C₁₃	1	2	yes	complemented
640	#535	—	2	1	no	—
641	#535	C₂²×C₁₃	1	1	yes	characteristic
642	#535	C₂²×C₁₃	1	1	yes	characteristic
643	#534	—	2	2	no	—
644	#532	—	2	1	no	—
645	#532	—	2	1	no	—
646	#525	—	2	2	no	—
647	#525	C₂²×C₁₃	1	1	yes	characteristic
648	#525	C₂²×C₁₃	1	2	yes	—
649	#525	C₂²×C₁₃	1	2	yes	—
650	#525	C₂²×C₁₃	1	2	yes	complemented
651	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
653	#520	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
655	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#485	C₂²×C₁₃	1	2	yes	complemented
658	#485	C₂²×C₁₃	1	2	yes	complemented
659	#485	C₂²×C₁₃	1	2	yes	complemented
660	#485	C₂²×C₁₃	1	2	yes	complemented
661	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#484	C₂²×C₁₃	1	2	yes	complemented
663	#484	C₂²×C₁₃	1	2	yes	complemented
664	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	#483	C₂²×C₁₃	1	2	yes	complemented
666	#483	C₂²×C₁₃	1	2	yes	complemented
667	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	#482	C₂²×C₁₃	1	2	yes	complemented
670	#482	C₂²×C₁₃	1	2	yes	complemented
671	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	#481	C₂²×C₁₃	1	2	yes	complemented
673	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
674	#480	C₂²×C₁₃	1	2	yes	complemented
675	#470	C₂²×C₁₃	1	2	yes	complemented
676	#470	C₂²×C₁₃	1	2	yes	complemented
677	#470	C₂²×C₁₃	1	2	yes	complemented
678	#469	C₂²×C₁₃	1	2	yes	complemented
679	#468	C₂²×C₁₃	1	2	yes	complemented
680	#468	C₂²×C₁₃	1	2	yes	complemented
681	#468	C₂²×C₁₃	1	2	yes	complemented
682	#468	C₂²×C₁₃	1	2	yes	complemented
683	#467	C₂²×C₁₃	1	2	yes	complemented
684	#467	C₂²×C₁₃	1	2	yes	complemented
685	#467	C₂²×C₁₃	1	2	yes	complemented
686	#466	C₂²×C₁₃	1	2	yes	complemented
687	#465	C₂²×C₁₃	1	2	yes	complemented
688	#465	C₂²×C₁₃	1	2	yes	complemented
689	#465	C₂²×C₁₃	1	2	yes	complemented
690	#465	C₂²×C₁₃	1	2	yes	complemented
691	#452	C₂²×C₁₃	1	2	yes	—
692	#452	C₂²×C₁₃	1	2	yes	—
693	#452	C₂²×C₁₃	1	2	yes	—
694	#452	C₂²×C₁₃	1	2	yes	complemented
695	#452	C₂²×C₁₃	1	2	yes	complemented
696	#452	C₂²×C₁₃	1	2	yes	complemented
697	#452	C₂²×C₁₃	1	2	yes	complemented
698	#452	C₂²×C₁₃	1	2	yes	complemented
699	#451	C₂²×C₁₃	1	2	yes	complemented
700	#451	C₂²×C₁₃	1	2	yes	complemented
701	#449	C₂²×C₁₃	1	2	yes	—
702	#449	C₂²×C₁₃	1	2	yes	complemented
703	#449	C₂²×C₁₃	1	2	yes	complemented
704	#449	C₂²×C₁₃	1	2	yes	complemented
705	#448	C₂²×C₁₃	1	2	yes	complemented
706	#448	C₂²×C₁₃	1	2	yes	complemented
707	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
709	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	#408	C₂²×C₁₃	1	1	yes	characteristic
720	#408	C₂²×C₁₃	1	1	yes	characteristic
721	#408	C₂²×C₁₃	1	2	yes	complemented
722	#408	C₂²×C₁₃	1	2	yes	complemented
723	#407	C₂²×C₁₃	1	1	yes	characteristic
724	#407	C₂²×C₁₃	1	2	yes	complemented
725	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
726	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	complemented
727	C₂²×C₁₃	—	2	1	no	—
728	C₂²×C₁₃	—	2	1	no	—
729	C₂²×C₁₃	—	2	1	no	—
730	C₂²×C₁₃	—	2	2	no	—
731	C₂²×C₁₃	—	2	2	no	—
732	C₂²×C₁₃	—	2	1	no	—
733	C₂²×C₁₃	—	2	1	no	—
734	C₂²×C₁₃	—	2	1	no	—
735	C₂²×C₁₃	—	2	2	no	—
736	C₂²×C₁₃	—	2	2	no	—
737	C₂²×C₁₃	—	2	1	no	—
738	C₂²×C₁₃	—	2	1	no	—
739	C₂²×C₁₃	—	2	2	no	—
740	C₂²×C₁₃	—	2	2	no	—
741	C₂²×C₁₃	—	4	1	no	—
742	C₂²×C₁₃	—	4	2	no	—
743	C₂²×C₁₃	—	4	1	no	—
744	C₂²×C₁₃	—	4	2	no	—
745	C₂²×C₁₃	—	4	1	no	—
746	C₂²×C₁₃	—	4	2	no	—
747	C₂²×C₁₃	—	8	2	no	—
748	C₂²×C₁₃	—	8	4	no	—
749	C₂²×C₁₃	—	8	4	no	—
750	C₂²×C₁₃	#534	1	2	yes	—
751	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
752	C₄×C₁₃	—	2	1	no	—
753	C₄×C₁₃	—	2	1	no	—
754	C₄×C₁₃	—	2	2	no	—
755	C₄×C₁₃	—	2	2	no	—
756	C₄×C₁₃	—	4	2	no	—
757	C₄×C₁₃	—	4	1	no	—
758	C₄×C₁₃	—	4	1	no	—
759	C₄×C₁₃	—	4	1	no	—
760	C₄×C₁₃	—	4	1	no	—
761	C₄×C₁₃	—	4	1	no	—
762	C₄×C₁₃	—	4	1	no	—
763	C₄×C₁₃	—	4	2	no	—
764	C₄×C₁₃	—	4	2	no	—
765	C₄×C₁₃	—	4	1	no	—
766	C₄×C₁₃	#534	1	2	yes	—
767	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
768	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
769	2₋¹⁺⁴	—	4	2	no	—
770	2₋¹⁺⁴	—	4	2	no	—
771	C₂×#41	—	2	2	no	—
772	C₂×#41	—	2	1	no	—
773	C₂×#41	—	2	1	no	—
774	C₂×#41	—	2	1	no	—
775	C₂×#41	—	4	2	no	—
776	C₂×#41	—	4	2	no	—
777	C₂×#41	—	4	2	no	—
778	C₂×#41	—	4	2	no	—
779	C₂×#41	D₄×C₁₃	1	2	yes	—
780	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
781	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
782	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
783	C₂×#41	C₂³×C₁₃	1	2	yes	—
784	C₂×#41	C₂³×C₁₃	1	2	yes	—
785	C₂×#41	C₂³×C₁₃	1	2	yes	—
786	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
787	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
788	C₂×#41	C₂³×C₁₃	1	2	yes	—
789	C₂²×Q₈	—	2	1	no	—
790	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
791	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
792	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
794	C₂²×D₄	—	2	1	no	—
795	C₂²×D₄	D₄×C₁₃	1	2	yes	—
796	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
797	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
798	C₂³×C₄	—	2	1	no	—
799	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
800	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
801	#137	—	4	2	no	—
802	AGL(1,ℤ/8)	—	4	2	no	—
803	C₂×Q₁₆	—	4	2	no	—
804	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
805	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
806	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
807	C₂×SD₁₆	—	4	2	no	—
808	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
809	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
810	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
811	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
812	C₂×D₈	C₂³×C₁₃	1	2	yes	—
813	#131	—	4	2	no	—
814	#131	—	4	2	no	—
815	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
816	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
817	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
818	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
819	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
820	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
821	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
822	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
823	C₄⋊Q₈	—	2	1	no	—
824	C₄⋊Q₈	—	2	1	no	—
825	C₄⋊Q₈	—	2	1	no	—
826	C₄⋊Q₈	—	2	2	no	—
827	#127	—	2	1	no	—
828	#127	—	2	1	no	—
829	#124	—	2	1	no	—
830	#124	—	2	1	no	—
831	#124	—	2	1	no	—
832	#124	—	2	1	no	—
833	#124	—	2	1	no	—
834	#124	—	2	2	no	—
835	#123	—	2	2	no	—
836	#123	—	2	2	no	—
837	#123	—	2	2	no	—
838	#123	—	2	2	no	—
839	#123	—	2	2	no	—
840	#123	—	2	2	no	—
841	#123	—	2	2	no	—
842	#123	—	2	1	no	—
843	#123	—	2	2	no	—
844	C₂²⋊Q₈	—	2	2	no	—
845	C₂²⋊Q₈	—	2	2	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	2	2	no	—
848	C₂²⋊Q₈	—	2	1	no	—
849	C₂²⋊Q₈	—	2	1	no	—
850	C₂²⋊Q₈	—	2	2	no	—
851	C₂²⋊Q₈	—	2	2	no	—
852	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
853	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
854	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
856	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
857	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
858	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
859	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
860	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
861	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
863	#121	—	2	2	no	—
864	#121	—	2	2	no	—
865	#121	—	2	2	no	—
866	#121	—	2	2	no	—
867	#121	—	2	2	no	—
868	#121	—	2	2	no	—
869	#121	—	2	2	no	—
870	#121	—	2	1	no	—
871	#121	—	2	2	no	—
872	#121	—	2	2	no	—
873	#121	—	2	2	no	—
874	#121	C₂³×C₁₃	1	1	yes	characteristic
875	#121	C₂³×C₁₃	1	2	yes	—
876	#121	C₂³×C₁₃	1	2	yes	—
877	#121	C₂³×C₁₃	1	2	yes	—
878	#121	C₂³×C₁₃	1	2	yes	—
879	#121	C₂³×C₁₃	1	1	yes	characteristic
880	#121	C₂³×C₁₃	1	2	yes	—
881	#120	—	2	2	no	—
882	#120	—	2	2	no	—
883	#120	—	2	1	no	—
884	#120	—	2	2	no	—
885	#120	—	2	2	no	—
886	#120	—	2	2	no	—
887	C₄×Q₈	—	2	1	no	—
888	C₄×D₄	—	2	2	no	—
889	C₄×D₄	—	2	1	no	—
890	C₄×D₄	—	2	2	no	—
891	C₄×D₄	—	2	2	no	—
892	C₄×D₄	—	2	2	no	—
893	C₄×D₄	—	2	2	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	1	no	—
896	C₄×D₄	—	2	2	no	—
897	C₄×D₄	—	2	2	no	—
898	#117	—	2	1	no	—
899	#117	—	2	1	no	—
900	#117	C₂³×C₁₃	1	1	yes	characteristic
901	#117	C₂³×C₁₃	1	1	yes	characteristic
902	#117	C₂³×C₁₃	1	1	yes	characteristic
903	#117	C₂³×C₁₃	1	1	yes	characteristic
904	#117	C₂³×C₁₃	1	1	yes	characteristic
905	#117	C₂³×C₁₃	1	2	yes	—
906	C₂×C₄⋊C₄	—	2	1	no	—
907	C₂×C₄⋊C₄	—	2	2	no	—
908	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
912	C₂×C₂²⋊C₄	—	2	1	no	—
913	C₂×C₂²⋊C₄	—	2	1	no	—
914	C₂×C₂²⋊C₄	—	2	2	no	—
915	C₂×C₄²	—	2	1	no	—
916	#107	C₂³×C₁₃	1	1	yes	characteristic
917	#107	C₂³×C₁₃	1	1	yes	characteristic
918	#107	C₂³×C₁₃	1	1	yes	characteristic
919	#107	C₂³×C₁₃	1	1	yes	characteristic
920	#107	C₂³×C₁₃	1	2	yes	—
921	#107	C₂³×C₁₃	1	2	yes	—
922	#106	C₂³×C₁₃	1	1	yes	characteristic
923	#106	C₂³×C₁₃	1	1	yes	characteristic
924	#106	C₂³×C₁₃	1	1	yes	characteristic
925	#106	C₂³×C₁₃	1	1	yes	characteristic
926	#106	C₂³×C₁₃	1	2	yes	—
927	#106	C₂³×C₁₃	1	2	yes	—
928	#103	C₂³×C₁₃	1	2	yes	—
929	#103	C₂³×C₁₃	1	2	yes	—
930	#103	C₂³×C₁₃	1	1	yes	characteristic
931	#103	C₂³×C₁₃	1	1	yes	characteristic
932	#103	C₂³×C₁₃	1	1	yes	characteristic
933	#103	C₂³×C₁₃	1	1	yes	characteristic
934	#103	C₂³×C₁₃	1	2	yes	—
935	#103	C₂³×C₁₃	1	2	yes	—
936	#103	C₂³×C₁₃	1	2	yes	—
937	#103	C₂³×C₁₃	1	2	yes	—
938	#103	C₂³×C₁₃	1	2	yes	—
939	#103	C₂³×C₁₃	1	2	yes	—
940	#102	C₂³×C₁₃	1	2	yes	—
941	#102	C₂³×C₁₃	1	2	yes	—
942	#102	C₂³×C₁₃	1	1	yes	characteristic
943	#102	C₂³×C₁₃	1	1	yes	characteristic
944	#102	C₂³×C₁₃	1	1	yes	characteristic
945	#102	C₂³×C₁₃	1	1	yes	characteristic
946	#102	C₂³×C₁₃	1	2	yes	—
947	#102	C₂³×C₁₃	1	2	yes	—
948	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
949	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
950	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
951	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
952	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
953	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
954	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
955	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
956	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
957	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
958	C₂×C₁₃	—	2	2	no	—
959	C₂×C₁₃	—	4	1	no	—
960	C₂×C₁₃	—	4	2	no	—
961	C₂×C₁₃	—	4	2	no	—
962	C₂×C₁₃	—	4	1	no	—
963	C₂×C₁₃	—	8	1	no	—
964	C₂×C₁₃	—	8	2	no	—
965	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
966	C₂×C₁₃	#3584	1	1	yes	characteristic
967	C₂×C₁₃	#3586	1	1	yes	characteristic
968	C₂⁴	—	2	1	no	—
969	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
970	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
971	#41	—	2	2	no	—
972	#41	—	2	2	no	—
973	#41	—	2	2	no	—
974	#41	—	2	2	no	—
975	#41	—	2	2	no	—
976	#41	—	2	2	no	—
977	#41	—	4	2	no	—
978	#41	—	4	2	no	—
979	#41	—	4	4	no	—
980	#41	—	4	2	no	—
981	#41	—	4	2	no	—
982	#41	—	4	2	no	—
983	#41	—	4	2	no	—
984	#41	—	4	2	no	—
985	#41	—	4	2	no	—
986	#41	—	4	2	no	—
987	#41	—	4	2	no	—
988	#41	—	4	4	no	—
989	#41	—	4	4	no	—
990	#41	—	4	8	no	—
991	#41	—	4	4	no	—
992	C₂×Q₈	—	2	2	no	—
993	C₂×Q₈	—	2	1	no	—
994	C₂×Q₈	—	2	1	no	—
995	C₂×Q₈	—	2	2	no	—
996	C₂×Q₈	—	2	2	no	—
997	C₂×Q₈	—	2	2	no	—
998	C₂×Q₈	—	2	2	no	—
999	C₂×Q₈	—	4	2	no	—
1000	C₂×Q₈	—	4	2	no	—
1001	C₂×Q₈	—	4	2	no	—
1002	C₂×Q₈	—	4	4	no	—
1003	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1004	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1005	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
1006	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1007	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1008	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1009	C₂×D₄	—	2	1	no	—
1010	C₂×D₄	—	2	2	no	—
1011	C₂×D₄	—	2	2	no	—
1012	C₂×D₄	—	2	1	no	—
1013	C₂×D₄	—	2	2	no	—
1014	C₂×D₄	—	2	2	no	—
1015	C₂×D₄	—	2	2	no	—
1016	C₂×D₄	—	2	2	no	—
1017	C₂×D₄	—	2	2	no	—
1018	C₂×D₄	—	2	2	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	2	2	no	—
1022	C₂×D₄	—	2	2	no	—
1023	C₂×D₄	—	4	2	no	—
1024	C₂×D₄	—	4	4	no	—
1025	C₂×D₄	—	4	4	no	—
1026	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1027	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1028	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1029	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1030	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1031	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1032	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1033	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1034	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	2	1	no	—
1041	C₂²×C₄	—	2	1	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	1	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	4	2	no	—
1049	C₂²×C₄	—	4	2	no	—
1050	C₂²×C₄	—	4	4	no	—
1051	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1055	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1056	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1057	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1059	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1061	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1062	Q₁₆	—	4	2	no	—
1063	Q₁₆	—	4	2	no	—
1064	Q₁₆	—	4	2	no	—
1065	SD₁₆	—	4	2	no	—
1066	SD₁₆	—	4	2	no	—
1067	SD₁₆	—	4	2	no	—
1068	SD₁₆	—	4	2	no	—
1069	D₈	—	4	2	no	—
1070	M₁₆	—	2	2	no	—
1071	M₁₆	—	2	2	no	—
1072	M₁₆	—	4	2	no	—
1073	M₁₆	—	4	2	no	—
1074	C₂×C₈	—	2	2	no	—
1075	C₂×C₈	—	2	2	no	—
1076	C₂×C₈	—	4	2	no	—
1077	C₂×C₈	—	4	2	no	—
1078	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1079	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1080	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1081	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1082	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1083	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	1	no	—
1099	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1100	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1101	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1102	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1103	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1104	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1105	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	1	no	—
1109	C₂²⋊C₄	—	2	1	no	—
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	2	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	2	no	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	1	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	2	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	1	no	—
1130	C₄²	—	2	1	no	—
1131	C₄²	—	2	1	no	—
1132	C₄²	—	2	1	no	—
1133	C₄²	—	2	1	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	1	no	—
1136	C₁₃	#60761	1	1	yes	characteristic, direct product factor, Sylow
1137	C₂³	—	2	2	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	2	no	—
1140	C₂³	—	4	2	no	—
1141	C₂³	—	4	1	no	—
1142	C₂³	—	4	1	no	—
1143	C₂³	—	4	2	no	—
1144	C₂³	—	4	2	no	—
1145	C₂³	—	4	2	no	—
1146	C₂³	—	8	1	no	—
1147	C₂³	—	8	1	no	—
1148	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1149	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1150	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1151	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1152	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1153	Q₈	—	2	2	no	—
1154	Q₈	—	2	2	no	—
1155	Q₈	—	2	2	no	—
1156	Q₈	—	2	1	no	—
1157	Q₈	—	2	2	no	—
1158	Q₈	—	2	2	no	—
1159	Q₈	—	2	2	no	—
1160	Q₈	—	2	1	no	—
1161	Q₈	—	4	2	no	—
1162	Q₈	—	4	4	no	—
1163	Q₈	—	4	2	no	—
1164	Q₈	—	4	2	no	—
1165	D₄	—	2	4	no	—
1166	D₄	—	2	4	no	—
1167	D₄	—	2	2	no	—
1168	D₄	—	2	2	no	—
1169	D₄	—	2	1	no	—
1170	D₄	—	2	2	no	—
1171	D₄	—	2	2	no	—
1172	D₄	—	2	1	no	—
1173	D₄	—	4	2	no	—
1174	D₄	—	4	2	no	—
1175	D₄	—	4	2	no	—
1176	D₄	—	4	4	no	—
1177	D₄	—	4	4	no	—
1178	D₄	—	4	2	no	—
1179	D₄	—	4	4	no	—
1180	D₄	—	4	2	no	—
1181	D₄	—	4	2	no	—
1182	D₄	—	8	1	no	—
1183	D₄	—	8	2	no	—
1184	D₄	—	8	2	no	—
1185	D₄	—	8	2	no	—
1186	D₄	—	8	2	no	—
1187	D₄	—	8	2	no	—
1188	C₂×C₄	—	2	2	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	4	2	no	—
1210	C₂×C₄	—	4	2	no	—
1211	C₂×C₄	—	4	2	no	—
1212	C₂×C₄	—	4	4	no	—
1213	C₂×C₄	—	4	4	no	—
1214	C₂×C₄	—	4	4	no	—
1215	C₂×C₄	—	4	4	no	—
1216	C₂×C₄	—	4	2	no	—
1217	C₂×C₄	—	4	2	no	—
1218	C₂×C₄	—	4	2	no	—
1219	C₂×C₄	—	8	1	no	—
1220	C₂×C₄	—	8	2	no	—
1221	C₂×C₄	—	8	1	no	—
1222	C₂×C₄	—	8	1	no	—
1223	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1224	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1225	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1226	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1227	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1228	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1229	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1230	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1231	C₈	—	2	1	no	—
1232	C₈	—	2	1	no	—
1233	C₈	—	2	1	no	—
1234	C₈	—	2	1	no	—
1235	C₈	—	2	2	no	—
1236	C₈	—	2	2	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	1	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	1	no	—
1243	C₂²	—	2	1	no	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	2	2	no	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	1	no	—
1248	C₂²	—	2	1	no	—
1249	C₂²	—	2	2	no	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	2	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	—	4	2	no	—
1255	C₂²	—	4	1	no	—
1256	C₂²	—	4	2	no	—
1257	C₂²	—	8	2	no	—
1258	C₂²	—	8	4	no	—
1259	C₂²	—	8	4	no	—
1260	C₂²	C₁₃×#534	1	2	yes	—
1261	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	4	2	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	2	no	—
1274	C₄	—	4	2	no	—
1275	C₄	—	4	1	no	—
1276	C₄	C₁₃×#534	1	2	yes	—
1277	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1278	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1279	C₂	—	2	2	no	—
1280	C₂	—	4	1	no	—
1281	C₂	—	4	1	no	—
1282	C₂	—	4	2	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	8	2	no	—
1285	C₂	—	8	1	no	—
1286	C₂	C₂×C₁₃×#534	1	1	yes	characteristic
1287	C₂	C₁₃×#3584	1	1	yes	characteristic
1288	C₂	C₁₃×#3586	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 ◁ C₂²×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3489	C₂	semidirect
2. C₁₃×#3449	C₂	semidirect
3. C₁₃×#3204	C₂	semidirect
4. C₁₃×#3203	C₂	semidirect
5. C₁₃×#3201	C₂	semidirect
6. C₁₃×#3201	C₂	semidirect
7. C₁₃×#3197	C₂	semidirect
8. C₁₃×#3196	C₂	semidirect
9. C₁₃×#3191	C₂	semidirect
10. C₁₃×#3190	C₂	semidirect
11. C₁₃×#3097	C₂	semidirect
12. C₁₃×#3096	C₂	semidirect
13. C₁₃×#3095	C₂	semidirect
14. C₁₃×#3091	C₂	semidirect
15. C₁₃×#3063	C₂	semidirect
16. C₁₃×#3062	C₂	semidirect
17. C₁₃×#3059	C₂	semidirect
18. C₁₃×#3057	C₂	semidirect
19. C₁₃×#3011	C₂	semidirect
20. C₁₃×#3010	C₂	semidirect
21. C₁₃×#3005	C₂	semidirect
22. C₂×C₁₃×#452	C₂	semidirect
23. C₁₃×#2880	C₂	semidirect
27. C₂×C₁₃×#137	C₂²	semidirect
28. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
29. C₂²×C₁₃×Q₁₆	C₂²	semidirect
30. C₂²×C₁₃×SD₁₆	C₂²	semidirect
42. C₁₃×#537	C₂²	semidirect
47. C₁₃×#536	C₂²	semidirect
58. C₁₃×#525	C₂²	semidirect
60. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
63. C₁₃×#485	C₂²	semidirect
64. C₁₃×#485	C₂²	semidirect
65. C₁₃×#485	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
69. C₁₃×#484	C₂²	semidirect
70. C₁₃×#484	C₂²	semidirect
71. C₁₃×#484	C₂²	semidirect
72. C₁₃×#483	C₂²	semidirect
73. C₁₃×#483	C₂²	semidirect
74. C₁₃×#483	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
77. C₁₃×#482	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#481	C₂²	semidirect
81. C₁₃×#480	C₂²	semidirect
82. C₁₃×#480	C₂²	semidirect
83. C₁₃×#470	C₂²	semidirect
84. C₁₃×#470	C₂²	semidirect
85. C₁₃×#470	C₂²	semidirect
86. C₁₃×#469	C₂²	semidirect
87. C₁₃×#468	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#468	C₂²	semidirect
91. C₁₃×#467	C₂²	semidirect
92. C₁₃×#467	C₂²	semidirect
93. C₁₃×#467	C₂²	semidirect
94. C₁₃×#466	C₂²	semidirect
95. C₁₃×#465	C₂²	semidirect
96. C₁₃×#465	C₂²	semidirect
97. C₁₃×#465	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
102. C₁₃×#452	C₂²	semidirect
103. C₁₃×#452	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
107. C₁₃×#451	C₂²	semidirect
108. C₁₃×#451	C₂²	semidirect
110. C₁₃×#449	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
117. C₁₃×#427	C₂²	semidirect
118. C₁₃×#427	C₂²	semidirect
119. C₁₃×#419	C₂²	semidirect
120. C₁₃×#419	C₂²	semidirect
121. C₁₃×#419	C₂²	semidirect
122. C₁₃×#418	C₂²	semidirect
123. C₁₃×#416	C₂²	semidirect
124. C₁₃×#416	C₂²	semidirect
125. C₂×C₁₃×#103	C₂²	semidirect
126. C₂×C₁₃×#102	C₂²	semidirect
129. C₁₃×#408	C₂²	semidirect
130. C₁₃×#408	C₂²	semidirect
132. C₁₃×#407	C₂²	semidirect
134. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
324. #60761	C₁₃	direct (N × H)
493. #3489	C₂×C₁₃	semidirect
494. #3449	C₂×C₁₃	semidirect
495. #3204	C₂×C₁₃	semidirect
496. #3203	C₂×C₁₃	semidirect
497. #3201	C₂×C₁₃	semidirect
498. #3201	C₂×C₁₃	semidirect
499. #3197	C₂×C₁₃	semidirect
500. #3196	C₂×C₁₃	semidirect
501. #3191	C₂×C₁₃	semidirect
502. #3190	C₂×C₁₃	semidirect
503. #3097	C₂×C₁₃	semidirect
504. #3096	C₂×C₁₃	semidirect
505. #3095	C₂×C₁₃	semidirect
506. #3091	C₂×C₁₃	semidirect
507. #3063	C₂×C₁₃	semidirect
508. #3062	C₂×C₁₃	semidirect
509. #3059	C₂×C₁₃	semidirect
510. #3057	C₂×C₁₃	semidirect
511. #3011	C₂×C₁₃	semidirect
512. #3010	C₂×C₁₃	semidirect
513. #3005	C₂×C₁₃	semidirect
514. C₂×#452	C₂×C₁₃	semidirect
515. #2880	C₂×C₁₃	semidirect
619. C₂×#137	C₂²×C₁₃	semidirect
620. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
621. C₂²×Q₁₆	C₂²×C₁₃	semidirect
622. C₂²×SD₁₆	C₂²×C₁₃	semidirect
634. #537	C₂²×C₁₃	semidirect
639. #536	C₂²×C₁₃	semidirect
650. #525	C₂²×C₁₃	semidirect
652. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
655. #485	C₂²×C₁₃	semidirect
656. #485	C₂²×C₁₃	semidirect
657. #485	C₂²×C₁₃	semidirect
658. #485	C₂²×C₁₃	semidirect
659. #485	C₂²×C₁₃	semidirect
660. #485	C₂²×C₁₃	semidirect
661. #484	C₂²×C₁₃	semidirect
662. #484	C₂²×C₁₃	semidirect
663. #484	C₂²×C₁₃	semidirect
664. #483	C₂²×C₁₃	semidirect
665. #483	C₂²×C₁₃	semidirect
666. #483	C₂²×C₁₃	semidirect
667. #482	C₂²×C₁₃	semidirect
668. #482	C₂²×C₁₃	semidirect
669. #482	C₂²×C₁₃	semidirect
670. #482	C₂²×C₁₃	semidirect
671. #481	C₂²×C₁₃	semidirect
672. #481	C₂²×C₁₃	semidirect
673. #480	C₂²×C₁₃	semidirect
674. #480	C₂²×C₁₃	semidirect
675. #470	C₂²×C₁₃	semidirect
676. #470	C₂²×C₁₃	semidirect
677. #470	C₂²×C₁₃	semidirect
678. #469	C₂²×C₁₃	semidirect
679. #468	C₂²×C₁₃	semidirect
680. #468	C₂²×C₁₃	semidirect
681. #468	C₂²×C₁₃	semidirect
682. #468	C₂²×C₁₃	semidirect
683. #467	C₂²×C₁₃	semidirect
684. #467	C₂²×C₁₃	semidirect
685. #467	C₂²×C₁₃	semidirect
686. #466	C₂²×C₁₃	semidirect
687. #465	C₂²×C₁₃	semidirect
688. #465	C₂²×C₁₃	semidirect
689. #465	C₂²×C₁₃	semidirect
690. #465	C₂²×C₁₃	semidirect
694. #452	C₂²×C₁₃	semidirect
695. #452	C₂²×C₁₃	semidirect
696. #452	C₂²×C₁₃	semidirect
697. #452	C₂²×C₁₃	semidirect
698. #452	C₂²×C₁₃	semidirect
699. #451	C₂²×C₁₃	semidirect
700. #451	C₂²×C₁₃	semidirect
702. #449	C₂²×C₁₃	semidirect
703. #449	C₂²×C₁₃	semidirect
704. #449	C₂²×C₁₃	semidirect
705. #448	C₂²×C₁₃	semidirect
706. #448	C₂²×C₁₃	semidirect
707. #428	C₂²×C₁₃	semidirect
708. #428	C₂²×C₁₃	semidirect
709. #427	C₂²×C₁₃	semidirect
710. #427	C₂²×C₁₃	semidirect
711. #419	C₂²×C₁₃	semidirect
712. #419	C₂²×C₁₃	semidirect
713. #419	C₂²×C₁₃	semidirect
714. #418	C₂²×C₁₃	semidirect
715. #416	C₂²×C₁₃	semidirect
716. #416	C₂²×C₁₃	semidirect
717. C₂×#103	C₂²×C₁₃	semidirect
718. C₂×#102	C₂²×C₁₃	semidirect
721. #408	C₂²×C₁₃	semidirect
722. #408	C₂²×C₁₃	semidirect
724. #407	C₂²×C₁₃	semidirect
726. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
1136. C₁₃	#60761	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×#3489	2
C₁₃×#3449	2
C₁₃×#3204	2
C₁₃×#3203	2
C₁₃×#3201	2
C₁₃×#3197	2
C₁₃×#3196	2
C₁₃×#3191	2
C₁₃×#3190	2
C₁₃×#3097	2
C₁₃×#3096	2
C₁₃×#3095	2
C₁₃×#3091	2
C₁₃×#3063	2
C₁₃×#3062	2
C₁₃×#3059	2
C₁₃×#3057	2
C₁₃×#3011	2
C₁₃×#3010	2
C₁₃×#3005	2
C₂×C₁₃×#452	2
C₁₃×#2880	2
#60761	13

Subgroups — C13×#60761 #15747100

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60761 #15747100