Subgroups — C₁₃×#61030 #15747369

Order 3328.

2796 conjugacy classes of subgroups.

The subgroup lattice has 1184 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#575	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×C₁₃×#41	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3150	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3054	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3050	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3035	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3002	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3002	C₂	1	2	yes	maximal, complemented
18	C₁₃×#2943	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
21	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
22	C₁₃×#575	—	2	8	no	—
23	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
26	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
27	C₂×C₁₃×#135	—	2	8	no	—
28	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
31	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
33	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
37	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
39	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
41	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#550	C₂²	1	2	yes	complemented
43	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
44	C₁₃×#548	C₂²	1	2	yes	—
45	C₁₃×#548	C₂²	1	2	yes	complemented
46	C₁₃×#547	—	2	2	no	—
47	C₁₃×#547	C₂²	1	2	yes	complemented
48	C₁₃×#546	—	2	2	no	—
49	C₁₃×#546	—	2	2	no	—
50	C₁₃×#546	C₂²	1	2	yes	—
51	C₁₃×#546	C₂²	1	2	yes	complemented
52	D₄²×C₁₃	—	2	2	no	—
53	D₄²×C₁₃	C₂²	1	2	yes	complemented
54	C₁₃×#532	—	2	2	no	—
55	C₁₃×#532	C₂²	1	2	yes	complemented
56	C₁₃×#525	—	2	2	no	—
57	C₁₃×#525	—	2	2	no	—
58	C₁₃×#525	C₂²	1	2	yes	complemented
59	C₁₃×#525	C₂²	1	2	yes	complemented
60	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
61	C₂×C₄×D₄×C₁₃	—	2	2	no	—
62	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
63	C₁₃×#497	C₂²	1	2	yes	complemented
64	C₁₃×#497	C₂²	1	2	yes	complemented
65	C₁₃×#496	C₂²	1	2	yes	complemented
66	C₁₃×#496	C₂²	1	2	yes	complemented
67	C₁₃×#470	C₂²	1	2	yes	complemented
68	C₁₃×#469	C₂²	1	2	yes	complemented
69	C₁₃×#468	C₂²	1	2	yes	complemented
70	C₁₃×#468	C₂²	1	2	yes	complemented
71	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#465	C₂²	1	2	yes	complemented
76	C₁₃×#465	C₂²	1	2	yes	complemented
77	C₁₃×#464	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	complemented
79	C₁₃×#463	C₂²	1	2	yes	complemented
80	C₁₃×#463	C₂²	1	2	yes	complemented
81	C₁₃×#462	C₂²	1	2	yes	complemented
82	C₁₃×#461	C₂²	1	2	yes	complemented
83	C₁₃×#460	C₂²	1	2	yes	complemented
84	C₁₃×#459	C₂²	1	2	yes	complemented
85	C₁₃×#452	C₂²	1	2	yes	complemented
86	C₁₃×#452	C₂²	1	2	yes	complemented
87	C₁₃×#452	C₂²	1	2	yes	complemented
88	C₁₃×#452	C₂²	1	2	yes	complemented
89	C₁₃×#451	C₂²	1	2	yes	complemented
90	C₁₃×#451	C₂²	1	2	yes	complemented
91	C₁₃×#450	C₂²	1	2	yes	complemented
92	C₁₃×#450	C₂²	1	2	yes	complemented
93	C₁₃×#449	C₂²	1	2	yes	complemented
94	C₁₃×#449	C₂²	1	2	yes	complemented
95	C₁₃×#449	C₂²	1	2	yes	complemented
96	C₁₃×#449	C₂²	1	2	yes	complemented
97	C₁₃×#448	C₂²	1	2	yes	complemented
98	C₁₃×#448	C₂²	1	2	yes	complemented
99	C₁₃×#447	C₂²	1	2	yes	complemented
100	C₁₃×#447	C₂²	1	2	yes	complemented
101	C₁₃×#442	C₂²	1	2	yes	complemented
102	C₁₃×#441	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₁₃×#440	C₂²	1	2	yes	complemented
105	C₁₃×#435	C₂²	1	2	yes	complemented
106	C₁₃×#435	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
110	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#416	C₂²	1	2	yes	complemented
112	C₁₃×#416	C₂²	1	2	yes	complemented
113	C₁₃×#416	C₂²	1	2	yes	complemented
114	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₁₃×#41	—	2	2	no	—
118	C₂×C₁₃×#41	—	2	2	no	—
119	C₂×C₁₃×#41	—	2	2	no	—
120	C₂×C₁₃×#41	—	2	2	no	—
121	C₂×C₁₃×#41	—	2	8	no	—
122	C₂×C₁₃×#41	—	2	8	no	—
123	C₂×C₁₃×#41	—	4	4	no	—
124	C₂×C₁₃×#41	—	4	4	no	—
125	C₂×C₁₃×#41	C₂³	1	2	yes	—
126	C₂×C₁₃×#41	C₂³	1	2	yes	—
127	C₂×C₁₃×#41	C₂³	1	2	yes	—
128	C₂×C₁₃×#41	C₂³	1	2	yes	—
129	C₂×C₁₃×#41	C₂³	1	2	yes	—
130	C₂×C₁₃×#41	C₂³	1	2	yes	—
131	C₂×C₁₃×#41	C₂³	1	2	yes	—
132	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
133	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃	—	2	2	no	—
135	C₂²×D₄×C₁₃	—	2	2	no	—
136	C₂²×D₄×C₁₃	—	2	2	no	—
137	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃	—	2	2	no	—
141	C₂³×C₄×C₁₃	—	2	2	no	—
142	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₁₃×#137	—	2	8	no	—
145	C₁₃×#137	—	2	8	no	—
146	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
147	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
148	C₁₃×#135	—	2	8	no	—
149	C₁₃×#135	—	2	8	no	—
150	C₁₃×#135	—	2	4	no	—
151	C₁₃×#135	—	2	8	no	—
152	C₁₃×#135	—	2	4	no	—
153	C₁₃×#135	—	2	4	no	—
154	C₁₃×#135	—	2	4	no	—
155	C₁₃×#135	—	4	4	no	—
156	C₁₃×#135	D₄	1	8	yes	complemented
157	C₂×C₁₃×Q₁₆	—	2	4	no	—
158	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
163	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×SD₁₆	—	2	8	no	—
165	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
166	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
167	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
168	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
169	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
170	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
171	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
172	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
173	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
174	C₂×C₁₃×D₈	—	2	4	no	—
175	C₂×C₁₃×D₈	C₂³	1	2	yes	—
176	C₂×C₁₃×D₈	C₂³	1	2	yes	—
177	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×D₈	C₂³	1	2	yes	—
180	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×M₁₆	—	2	4	no	—
182	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
183	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
184	C₂²×C₈×C₁₃	—	2	4	no	—
185	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
186	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
187	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
193	C₁₃×C₄⋊Q₈	—	2	2	no	—
194	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
195	C₁₃×#127	—	2	2	no	—
196	C₁₃×#127	C₂³	1	2	yes	—
197	C₁₃×#124	—	2	2	no	—
198	C₁₃×#124	—	2	2	no	—
199	C₁₃×#124	C₂³	1	2	yes	—
200	C₁₃×#124	C₂³	1	2	yes	—
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×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	C₂³	1	2	yes	—
226	C₁₃×#121	C₂³	1	2	yes	—
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	2	yes	—
229	C₁₃×#120	—	2	2	no	—
230	C₁₃×#120	—	2	2	no	—
231	C₁₃×#120	—	2	2	no	—
232	C₁₃×#120	—	2	2	no	—
233	C₁₃×#120	—	2	2	no	—
234	C₁₃×#120	—	2	2	no	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	2	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	—	2	2	no	—
249	C₄×D₄×C₁₃	D₄	1	2	yes	—
250	C₄×D₄×C₁₃	D₄	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	C₂³	1	2	yes	—
257	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
258	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
259	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
260	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
261	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
262	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
263	C₂×C₄²×C₁₃	—	2	2	no	—
264	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
265	C₁₃×#107	C₂³	1	1	yes	characteristic
266	C₁₃×#107	C₂³	1	1	yes	characteristic
267	C₁₃×#106	C₂³	1	2	yes	—
268	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
269	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
270	C₁₃×#103	C₂³	1	2	yes	—
271	C₁₃×#103	C₂³	1	2	yes	—
272	C₁₃×#103	C₂³	1	2	yes	—
273	C₁₃×#103	C₂³	1	2	yes	—
274	C₁₃×#103	C₂³	1	2	yes	—
275	C₁₃×#103	C₂³	1	2	yes	—
276	C₁₃×#102	C₂³	1	2	yes	—
277	C₁₃×#102	C₂³	1	2	yes	—
278	C₁₃×#102	C₂³	1	2	yes	—
279	C₁₃×#102	C₂³	1	2	yes	—
280	C₁₃×#102	C₂³	1	2	yes	—
281	C₁₃×#102	C₂³	1	2	yes	—
282	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
284	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
286	C₁₃×#97	C₂³	1	2	yes	—
287	C₁₃×#97	C₂³	1	2	yes	—
288	#61030	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
289	C₂⁴×C₁₃	—	2	2	no	—
290	C₂⁴×C₁₃	—	2	2	no	—
291	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
292	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
293	C₁₃×#41	—	2	4	no	—
294	C₁₃×#41	—	2	4	no	—
295	C₁₃×#41	—	2	4	no	—
296	C₁₃×#41	—	2	4	no	—
297	C₁₃×#41	—	2	4	no	—
298	C₁₃×#41	—	2	4	no	—
299	C₁₃×#41	—	2	4	no	—
300	C₁₃×#41	—	2	4	no	—
301	C₁₃×#41	—	2	4	no	—
302	C₁₃×#41	—	4	8	no	—
303	C₁₃×#41	—	4	8	no	—
304	C₁₃×#41	—	4	2	no	—
305	C₁₃×#41	—	4	2	no	—
306	C₁₃×#41	—	4	2	no	—
307	C₁₃×#41	—	4	2	no	—
308	C₁₃×#41	—	4	8	no	—
309	C₁₃×#41	—	4	8	no	—
310	C₁₃×#41	C₂×D₄	1	8	yes	complemented
311	C₂×Q₈×C₁₃	—	2	2	no	—
312	C₂×Q₈×C₁₃	—	2	2	no	—
313	C₂×Q₈×C₁₃	—	2	4	no	—
314	C₂×Q₈×C₁₃	—	2	4	no	—
315	C₂×Q₈×C₁₃	—	4	2	no	—
316	C₂×Q₈×C₁₃	—	4	2	no	—
317	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
318	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
319	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
320	C₂×D₄×C₁₃	—	2	2	no	—
321	C₂×D₄×C₁₃	—	2	4	no	—
322	C₂×D₄×C₁₃	—	2	4	no	—
323	C₂×D₄×C₁₃	—	2	2	no	—
324	C₂×D₄×C₁₃	—	2	2	no	—
325	C₂×D₄×C₁₃	—	2	2	no	—
326	C₂×D₄×C₁₃	—	2	2	no	—
327	C₂×D₄×C₁₃	—	2	2	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	4	2	no	—
338	C₂×D₄×C₁₃	—	4	2	no	—
339	C₂×D₄×C₁₃	—	4	2	no	—
340	C₂×D₄×C₁₃	—	4	8	no	—
341	C₂×D₄×C₁₃	—	4	8	no	—
342	C₂×D₄×C₁₃	—	4	8	no	—
343	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
346	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
347	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	4	8	no	—
364	C₂²×C₄×C₁₃	—	4	8	no	—
365	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
369	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₁₃×Q₁₆	—	2	4	no	—
377	C₁₃×Q₁₆	—	2	4	no	—
378	C₁₃×Q₁₆	—	2	2	no	—
379	C₁₃×Q₁₆	—	2	2	no	—
380	C₁₃×Q₁₆	—	4	2	no	—
381	C₁₃×Q₁₆	C₂×D₄	1	4	yes	complemented
382	C₁₃×SD₁₆	—	2	4	no	—
383	C₁₃×SD₁₆	—	2	4	no	—
384	C₁₃×SD₁₆	—	2	4	no	—
385	C₁₃×SD₁₆	—	2	4	no	—
386	C₁₃×SD₁₆	—	2	4	no	—
387	C₁₃×SD₁₆	—	2	4	no	—
388	C₁₃×SD₁₆	—	4	2	no	—
389	C₁₃×SD₁₆	—	4	2	no	—
390	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
391	C₁₃×D₈	—	2	4	no	—
392	C₁₃×D₈	—	2	4	no	—
393	C₁₃×D₈	—	2	2	no	—
394	C₁₃×D₈	—	2	2	no	—
395	C₁₃×D₈	—	4	2	no	—
396	C₁₃×D₈	C₂×D₄	1	4	yes	complemented
397	C₁₃×M₁₆	—	2	4	no	—
398	C₁₃×M₁₆	—	2	4	no	—
399	C₂×C₈×C₁₃	—	2	2	no	—
400	C₂×C₈×C₁₃	—	2	2	no	—
401	C₂×C₈×C₁₃	—	2	2	no	—
402	C₂×C₈×C₁₃	—	2	2	no	—
403	C₂×C₈×C₁₃	—	2	2	no	—
404	C₂×C₈×C₁₃	—	2	2	no	—
405	C₂×C₈×C₁₃	—	2	2	no	—
406	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	complemented
407	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
408	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
411	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	—	2	2	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	—	2	2	no	—
418	C₁₃×C₄⋊C₄	—	2	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	2	no	—
421	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
424	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	C₂×D₄	1	2	yes	—
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	C₂×#575	C₂×C₁₃	1	1	yes	characteristic, complemented
450	C₂²×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
451	D₄×#41	C₂×C₁₃	1	2	yes	complemented
452	#3271	C₂×C₁₃	1	2	yes	complemented
453	#3270	C₂×C₁₃	1	2	yes	complemented
454	#3269	C₂×C₁₃	1	2	yes	complemented
455	#3268	C₂×C₁₃	1	2	yes	complemented
456	#3267	C₂×C₁₃	1	2	yes	complemented
457	#3266	C₂×C₁₃	1	2	yes	complemented
458	#3265	C₂×C₁₃	1	2	yes	complemented
459	#3264	C₂×C₁₃	1	2	yes	complemented
460	#3150	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3054	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3050	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3035	C₂×C₁₃	1	2	yes	complemented
464	#3002	C₂×C₁₃	1	2	yes	complemented
465	#3002	C₂×C₁₃	1	2	yes	complemented
466	#2943	C₂×C₁₃	1	1	yes	characteristic, complemented
467	C₂×#435	C₂×C₁₃	1	1	yes	characteristic, complemented
468	C₂³×C₁₃	—	2	2	no	—
469	C₂³×C₁₃	—	2	2	no	—
470	C₂³×C₁₃	—	2	2	no	—
471	C₂³×C₁₃	—	2	2	no	—
472	C₂³×C₁₃	—	2	2	no	—
473	C₂³×C₁₃	—	2	2	no	—
474	C₂³×C₁₃	—	4	1	no	—
475	C₂³×C₁₃	—	4	1	no	—
476	C₂³×C₁₃	—	4	1	no	—
477	C₂³×C₁₃	—	4	4	no	—
478	C₂³×C₁₃	—	4	4	no	—
479	C₂³×C₁₃	—	4	4	no	—
480	C₂³×C₁₃	—	4	4	no	—
481	C₂³×C₁₃	—	8	2	no	—
482	C₂³×C₁₃	—	8	2	no	—
483	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
484	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
485	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
486	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
487	Q₈×C₁₃	—	2	2	no	—
488	Q₈×C₁₃	—	2	2	no	—
489	Q₈×C₁₃	—	2	2	no	—
490	Q₈×C₁₃	—	2	2	no	—
491	Q₈×C₁₃	—	2	2	no	—
492	Q₈×C₁₃	—	4	4	no	—
493	Q₈×C₁₃	—	4	4	no	—
494	Q₈×C₁₃	C₂²×D₄	1	4	yes	—
495	D₄×C₁₃	—	2	8	no	—
496	D₄×C₁₃	—	2	4	no	—
497	D₄×C₁₃	—	2	2	no	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	2	2	no	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	4	no	—
504	D₄×C₁₃	—	4	4	no	—
505	D₄×C₁₃	—	4	4	no	—
506	D₄×C₁₃	—	4	4	no	—
507	D₄×C₁₃	—	4	4	no	—
508	D₄×C₁₃	—	4	4	no	—
509	D₄×C₁₃	—	4	4	no	—
510	D₄×C₁₃	—	4	4	no	—
511	D₄×C₁₃	—	4	4	no	—
512	D₄×C₁₃	—	4	4	no	—
513	D₄×C₁₃	—	4	4	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	8	2	no	—
517	D₄×C₁₃	C₂²×D₄	1	4	yes	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	4	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	8	no	—
525	C₂×C₄×C₁₃	—	2	1	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	2	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	2	no	—
532	C₂×C₄×C₁₃	—	2	2	no	—
533	C₂×C₄×C₁₃	—	2	2	no	—
534	C₂×C₄×C₁₃	—	2	2	no	—
535	C₂×C₄×C₁₃	—	4	1	no	—
536	C₂×C₄×C₁₃	—	4	1	no	—
537	C₂×C₄×C₁₃	—	4	4	no	—
538	C₂×C₄×C₁₃	—	4	4	no	—
539	C₂×C₄×C₁₃	—	4	4	no	—
540	C₂×C₄×C₁₃	—	4	4	no	—
541	C₂×C₄×C₁₃	—	4	4	no	—
542	C₂×C₄×C₁₃	—	4	4	no	—
543	C₂×C₄×C₁₃	—	4	4	no	—
544	C₂×C₄×C₁₃	—	4	4	no	—
545	C₂×C₄×C₁₃	—	4	4	no	—
546	C₂×C₄×C₁₃	—	8	2	no	—
547	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
555	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
556	C₈×C₁₃	—	2	1	no	—
557	C₈×C₁₃	—	2	1	no	—
558	C₈×C₁₃	—	2	2	no	—
559	C₈×C₁₃	—	2	2	no	—
560	C₈×C₁₃	C₂²×D₄	1	2	yes	—
561	C₈×C₁₃	C₂²×D₄	1	2	yes	—
562	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
563	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
564	#575	—	2	8	no	—
565	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
566	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
567	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
568	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
569	C₂×#135	—	2	8	no	—
570	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
571	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
572	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
573	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
574	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
575	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
577	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
578	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
579	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
580	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
581	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#550	C₂²×C₁₃	1	2	yes	complemented
585	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
586	#548	C₂²×C₁₃	1	2	yes	—
587	#548	C₂²×C₁₃	1	2	yes	complemented
588	#547	—	2	2	no	—
589	#547	C₂²×C₁₃	1	2	yes	complemented
590	#546	—	2	2	no	—
591	#546	—	2	2	no	—
592	#546	C₂²×C₁₃	1	2	yes	—
593	#546	C₂²×C₁₃	1	2	yes	complemented
594	D₄²	—	2	2	no	—
595	D₄²	C₂²×C₁₃	1	2	yes	complemented
596	#532	—	2	2	no	—
597	#532	C₂²×C₁₃	1	2	yes	complemented
598	#525	—	2	2	no	—
599	#525	—	2	2	no	—
600	#525	C₂²×C₁₃	1	2	yes	complemented
601	#525	C₂²×C₁₃	1	2	yes	complemented
602	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
603	C₂×C₄×D₄	—	2	2	no	—
604	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
605	#497	C₂²×C₁₃	1	2	yes	complemented
606	#497	C₂²×C₁₃	1	2	yes	complemented
607	#496	C₂²×C₁₃	1	2	yes	complemented
608	#496	C₂²×C₁₃	1	2	yes	complemented
609	#470	C₂²×C₁₃	1	2	yes	complemented
610	#469	C₂²×C₁₃	1	2	yes	complemented
611	#468	C₂²×C₁₃	1	2	yes	complemented
612	#468	C₂²×C₁₃	1	2	yes	complemented
613	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#465	C₂²×C₁₃	1	2	yes	complemented
618	#465	C₂²×C₁₃	1	2	yes	complemented
619	#464	C₂²×C₁₃	1	2	yes	complemented
620	#464	C₂²×C₁₃	1	2	yes	complemented
621	#463	C₂²×C₁₃	1	2	yes	complemented
622	#463	C₂²×C₁₃	1	2	yes	complemented
623	#462	C₂²×C₁₃	1	2	yes	complemented
624	#461	C₂²×C₁₃	1	2	yes	complemented
625	#460	C₂²×C₁₃	1	2	yes	complemented
626	#459	C₂²×C₁₃	1	2	yes	complemented
627	#452	C₂²×C₁₃	1	2	yes	complemented
628	#452	C₂²×C₁₃	1	2	yes	complemented
629	#452	C₂²×C₁₃	1	2	yes	complemented
630	#452	C₂²×C₁₃	1	2	yes	complemented
631	#451	C₂²×C₁₃	1	2	yes	complemented
632	#451	C₂²×C₁₃	1	2	yes	complemented
633	#450	C₂²×C₁₃	1	2	yes	complemented
634	#450	C₂²×C₁₃	1	2	yes	complemented
635	#449	C₂²×C₁₃	1	2	yes	complemented
636	#449	C₂²×C₁₃	1	2	yes	complemented
637	#449	C₂²×C₁₃	1	2	yes	complemented
638	#449	C₂²×C₁₃	1	2	yes	complemented
639	#448	C₂²×C₁₃	1	2	yes	complemented
640	#448	C₂²×C₁₃	1	2	yes	complemented
641	#447	C₂²×C₁₃	1	2	yes	complemented
642	#447	C₂²×C₁₃	1	2	yes	complemented
643	#442	C₂²×C₁₃	1	2	yes	complemented
644	#441	C₂²×C₁₃	1	2	yes	complemented
645	#440	C₂²×C₁₃	1	2	yes	complemented
646	#440	C₂²×C₁₃	1	2	yes	complemented
647	#435	C₂²×C₁₃	1	2	yes	complemented
648	#435	C₂²×C₁₃	1	2	yes	complemented
649	#435	C₂²×C₁₃	1	2	yes	complemented
650	#435	C₂²×C₁₃	1	2	yes	complemented
651	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#416	C₂²×C₁₃	1	2	yes	complemented
654	#416	C₂²×C₁₃	1	2	yes	complemented
655	#416	C₂²×C₁₃	1	2	yes	complemented
656	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	1	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	2	2	no	—
666	C₂²×C₁₃	—	2	1	no	—
667	C₂²×C₁₃	—	2	4	no	—
668	C₂²×C₁₃	—	2	2	no	—
669	C₂²×C₁₃	—	2	1	no	—
670	C₂²×C₁₃	—	4	4	no	—
671	C₂²×C₁₃	—	4	2	no	—
672	C₂²×C₁₃	—	4	2	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	—	4	2	no	—
675	C₂²×C₁₃	—	4	2	no	—
676	C₂²×C₁₃	—	4	2	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	—	4	2	no	—
679	C₂²×C₁₃	—	8	2	no	—
680	C₂²×C₁₃	—	8	8	no	—
681	C₂²×C₁₃	—	8	8	no	—
682	C₂²×C₁₃	D₄²	1	2	yes	—
683	C₂²×C₁₃	#575	1	2	yes	complemented
684	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
685	C₄×C₁₃	—	2	2	no	—
686	C₄×C₁₃	—	2	1	no	—
687	C₄×C₁₃	—	2	2	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	4	no	—
690	C₄×C₁₃	—	2	2	no	—
691	C₄×C₁₃	—	4	2	no	—
692	C₄×C₁₃	—	4	2	no	—
693	C₄×C₁₃	—	4	2	no	—
694	C₄×C₁₃	—	4	2	no	—
695	C₄×C₁₃	D₄²	1	2	yes	—
696	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
697	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
698	C₂×#41	—	2	2	no	—
699	C₂×#41	—	2	2	no	—
700	C₂×#41	—	2	2	no	—
701	C₂×#41	—	2	2	no	—
702	C₂×#41	—	2	8	no	—
703	C₂×#41	—	2	8	no	—
704	C₂×#41	—	4	4	no	—
705	C₂×#41	—	4	4	no	—
706	C₂×#41	C₂³×C₁₃	1	2	yes	—
707	C₂×#41	C₂³×C₁₃	1	2	yes	—
708	C₂×#41	C₂³×C₁₃	1	2	yes	—
709	C₂×#41	C₂³×C₁₃	1	2	yes	—
710	C₂×#41	C₂³×C₁₃	1	2	yes	—
711	C₂×#41	C₂³×C₁₃	1	2	yes	—
712	C₂×#41	C₂³×C₁₃	1	2	yes	—
713	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
714	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
715	C₂²×D₄	—	2	2	no	—
716	C₂²×D₄	—	2	2	no	—
717	C₂²×D₄	—	2	2	no	—
718	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
719	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
720	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
721	C₂³×C₄	—	2	2	no	—
722	C₂³×C₄	—	2	2	no	—
723	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
724	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
725	#137	—	2	8	no	—
726	#137	—	2	8	no	—
727	AGL(1,ℤ/8)	—	2	8	no	—
728	AGL(1,ℤ/8)	—	2	8	no	—
729	#135	—	2	8	no	—
730	#135	—	2	8	no	—
731	#135	—	2	4	no	—
732	#135	—	2	8	no	—
733	#135	—	2	4	no	—
734	#135	—	2	4	no	—
735	#135	—	2	4	no	—
736	#135	—	4	4	no	—
737	#135	D₄×C₁₃	1	8	yes	complemented
738	C₂×Q₁₆	—	2	4	no	—
739	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
740	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
741	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
742	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
743	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
744	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
745	C₂×SD₁₆	—	2	8	no	—
746	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
748	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
749	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
750	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
751	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
752	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
753	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
754	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
755	C₂×D₈	—	2	4	no	—
756	C₂×D₈	C₂³×C₁₃	1	2	yes	—
757	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₂×D₈	C₂³×C₁₃	1	2	yes	—
759	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
760	C₂×D₈	C₂³×C₁₃	1	2	yes	—
761	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
762	C₂×M₁₆	—	2	4	no	—
763	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
764	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
765	C₂²×C₈	—	2	4	no	—
766	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
767	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
769	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
770	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
771	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
772	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄⋊Q₈	—	2	2	no	—
775	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
776	#127	—	2	2	no	—
777	#127	C₂³×C₁₃	1	2	yes	—
778	#124	—	2	2	no	—
779	#124	—	2	2	no	—
780	#124	C₂³×C₁₃	1	2	yes	—
781	#124	C₂³×C₁₃	1	2	yes	—
782	#123	—	2	2	no	—
783	#123	—	2	2	no	—
784	#123	—	2	2	no	—
785	#123	—	2	2	no	—
786	#123	—	2	2	no	—
787	#123	—	2	2	no	—
788	C₂²⋊Q₈	—	2	2	no	—
789	C₂²⋊Q₈	—	2	2	no	—
790	C₂²⋊Q₈	—	2	2	no	—
791	C₂²⋊Q₈	—	2	2	no	—
792	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
793	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
794	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
795	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
796	#121	—	2	2	no	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	—	2	2	no	—
800	#121	—	2	2	no	—
801	#121	—	2	2	no	—
802	#121	—	2	2	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	C₂³×C₁₃	1	2	yes	—
807	#121	C₂³×C₁₃	1	2	yes	—
808	#121	C₂³×C₁₃	1	2	yes	—
809	#121	C₂³×C₁₃	1	2	yes	—
810	#120	—	2	2	no	—
811	#120	—	2	2	no	—
812	#120	—	2	2	no	—
813	#120	—	2	2	no	—
814	#120	—	2	2	no	—
815	#120	—	2	2	no	—
816	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
817	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
818	C₄×D₄	—	2	2	no	—
819	C₄×D₄	—	2	2	no	—
820	C₄×D₄	—	2	2	no	—
821	C₄×D₄	—	2	2	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	—	2	2	no	—
824	C₄×D₄	—	2	2	no	—
825	C₄×D₄	—	2	2	no	—
826	C₄×D₄	—	2	2	no	—
827	C₄×D₄	—	2	2	no	—
828	C₄×D₄	—	2	2	no	—
829	C₄×D₄	—	2	2	no	—
830	C₄×D₄	D₄×C₁₃	1	2	yes	—
831	C₄×D₄	D₄×C₁₃	1	2	yes	—
832	C₄×D₄	C₂³×C₁₃	1	2	yes	—
833	C₄×D₄	C₂³×C₁₃	1	2	yes	—
834	C₄×D₄	C₂³×C₁₃	1	2	yes	—
835	C₄×D₄	C₂³×C₁₃	1	2	yes	—
836	#117	—	2	2	no	—
837	#117	C₂³×C₁₃	1	2	yes	—
838	C₂×C₄⋊C₄	—	2	2	no	—
839	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
840	C₂×C₂²⋊C₄	—	2	2	no	—
841	C₂×C₂²⋊C₄	—	2	2	no	—
842	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
843	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
844	C₂×C₄²	—	2	2	no	—
845	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
846	#107	C₂³×C₁₃	1	1	yes	characteristic
847	#107	C₂³×C₁₃	1	1	yes	characteristic
848	#106	C₂³×C₁₃	1	2	yes	—
849	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	2	yes	—
852	#103	C₂³×C₁₃	1	2	yes	—
853	#103	C₂³×C₁₃	1	2	yes	—
854	#103	C₂³×C₁₃	1	2	yes	—
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	2	yes	—
857	#102	C₂³×C₁₃	1	2	yes	—
858	#102	C₂³×C₁₃	1	2	yes	—
859	#102	C₂³×C₁₃	1	2	yes	—
860	#102	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
864	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
865	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
866	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
867	#97	C₂³×C₁₃	1	2	yes	—
868	#97	C₂³×C₁₃	1	2	yes	—
869	C₂×C₁₃	—	2	2	no	—
870	C₂×C₁₃	—	2	2	no	—
871	C₂×C₁₃	—	4	1	no	—
872	C₂×C₁₃	—	4	2	no	—
873	C₂×C₁₃	—	4	4	no	—
874	C₂×C₁₃	—	8	2	no	—
875	C₂×C₁₃	—	8	2	no	—
876	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
877	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
878	C₂×C₁₃	#3584	1	1	yes	characteristic
879	C₂⁴	—	2	2	no	—
880	C₂⁴	—	2	2	no	—
881	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
882	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
883	#41	—	2	4	no	—
884	#41	—	2	4	no	—
885	#41	—	2	4	no	—
886	#41	—	2	4	no	—
887	#41	—	2	4	no	—
888	#41	—	2	4	no	—
889	#41	—	2	4	no	—
890	#41	—	2	4	no	—
891	#41	—	2	4	no	—
892	#41	—	4	8	no	—
893	#41	—	4	8	no	—
894	#41	—	4	2	no	—
895	#41	—	4	2	no	—
896	#41	—	4	2	no	—
897	#41	—	4	2	no	—
898	#41	—	4	8	no	—
899	#41	—	4	8	no	—
900	#41	C₂×D₄×C₁₃	1	8	yes	complemented
901	C₂×Q₈	—	2	2	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	2	4	no	—
904	C₂×Q₈	—	2	4	no	—
905	C₂×Q₈	—	4	2	no	—
906	C₂×Q₈	—	4	2	no	—
907	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
908	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
909	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	4	no	—
912	C₂×D₄	—	2	4	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	4	2	no	—
928	C₂×D₄	—	4	2	no	—
929	C₂×D₄	—	4	2	no	—
930	C₂×D₄	—	4	8	no	—
931	C₂×D₄	—	4	8	no	—
932	C₂×D₄	—	4	8	no	—
933	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
934	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
935	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
936	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
937	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	4	8	no	—
954	C₂²×C₄	—	4	8	no	—
955	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
956	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
957	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
958	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
959	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
960	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
961	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
965	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
966	Q₁₆	—	2	4	no	—
967	Q₁₆	—	2	4	no	—
968	Q₁₆	—	2	2	no	—
969	Q₁₆	—	2	2	no	—
970	Q₁₆	—	4	2	no	—
971	Q₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
972	SD₁₆	—	2	4	no	—
973	SD₁₆	—	2	4	no	—
974	SD₁₆	—	2	4	no	—
975	SD₁₆	—	2	4	no	—
976	SD₁₆	—	2	4	no	—
977	SD₁₆	—	2	4	no	—
978	SD₁₆	—	4	2	no	—
979	SD₁₆	—	4	2	no	—
980	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
981	D₈	—	2	4	no	—
982	D₈	—	2	4	no	—
983	D₈	—	2	2	no	—
984	D₈	—	2	2	no	—
985	D₈	—	4	2	no	—
986	D₈	C₂×D₄×C₁₃	1	4	yes	complemented
987	M₁₆	—	2	4	no	—
988	M₁₆	—	2	4	no	—
989	C₂×C₈	—	2	2	no	—
990	C₂×C₈	—	2	2	no	—
991	C₂×C₈	—	2	2	no	—
992	C₂×C₈	—	2	2	no	—
993	C₂×C₈	—	2	2	no	—
994	C₂×C₈	—	2	2	no	—
995	C₂×C₈	—	2	2	no	—
996	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	complemented
997	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
998	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1001	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1002	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1012	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1013	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1014	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1031	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1032	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1033	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1034	C₄²	—	2	2	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	—	2	2	no	—
1037	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1038	C₄²	C₂⁴×C₁₃	1	2	yes	—
1039	C₁₃	#61030	1	1	yes	characteristic, direct product factor, Sylow
1040	C₂³	—	2	2	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	2	no	—
1044	C₂³	—	2	2	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	4	1	no	—
1047	C₂³	—	4	1	no	—
1048	C₂³	—	4	1	no	—
1049	C₂³	—	4	4	no	—
1050	C₂³	—	4	4	no	—
1051	C₂³	—	4	4	no	—
1052	C₂³	—	4	4	no	—
1053	C₂³	—	8	2	no	—
1054	C₂³	—	8	2	no	—
1055	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1056	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1057	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1058	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1059	Q₈	—	2	2	no	—
1060	Q₈	—	2	2	no	—
1061	Q₈	—	2	2	no	—
1062	Q₈	—	2	2	no	—
1063	Q₈	—	2	2	no	—
1064	Q₈	—	4	4	no	—
1065	Q₈	—	4	4	no	—
1066	Q₈	C₂²×D₄×C₁₃	1	4	yes	—
1067	D₄	—	2	8	no	—
1068	D₄	—	2	4	no	—
1069	D₄	—	2	2	no	—
1070	D₄	—	2	2	no	—
1071	D₄	—	2	2	no	—
1072	D₄	—	2	2	no	—
1073	D₄	—	2	2	no	—
1074	D₄	—	4	2	no	—
1075	D₄	—	4	4	no	—
1076	D₄	—	4	4	no	—
1077	D₄	—	4	4	no	—
1078	D₄	—	4	4	no	—
1079	D₄	—	4	4	no	—
1080	D₄	—	4	4	no	—
1081	D₄	—	4	4	no	—
1082	D₄	—	4	4	no	—
1083	D₄	—	4	4	no	—
1084	D₄	—	4	4	no	—
1085	D₄	—	4	4	no	—
1086	D₄	—	8	2	no	—
1087	D₄	—	8	2	no	—
1088	D₄	—	8	2	no	—
1089	D₄	C₂²×D₄×C₁₃	1	4	yes	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	8	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	1	no	—
1109	C₂×C₄	—	4	4	no	—
1110	C₂×C₄	—	4	4	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	4	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	4	4	no	—
1115	C₂×C₄	—	4	4	no	—
1116	C₂×C₄	—	4	4	no	—
1117	C₂×C₄	—	4	4	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1120	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1121	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1122	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1123	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1124	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1125	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1126	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1127	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1128	C₈	—	2	1	no	—
1129	C₈	—	2	1	no	—
1130	C₈	—	2	2	no	—
1131	C₈	—	2	2	no	—
1132	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1133	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	2	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	4	4	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	2	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	8	2	no	—
1155	C₂²	—	8	8	no	—
1156	C₂²	—	8	8	no	—
1157	C₂²	D₄²×C₁₃	1	2	yes	—
1158	C₂²	C₁₃×#575	1	2	yes	complemented
1159	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1160	C₄	—	2	2	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	1	no	—
1163	C₄	—	2	2	no	—
1164	C₄	—	2	1	no	—
1165	C₄	—	2	4	no	—
1166	C₄	—	4	2	no	—
1167	C₄	—	4	2	no	—
1168	C₄	—	4	2	no	—
1169	C₄	—	4	2	no	—
1170	C₄	D₄²×C₁₃	1	2	yes	—
1171	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1172	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1173	C₂	—	2	2	no	—
1174	C₂	—	2	2	no	—
1175	C₂	—	4	1	no	—
1176	C₂	—	4	2	no	—
1177	C₂	—	4	4	no	—
1178	C₂	—	8	2	no	—
1179	C₂	—	8	2	no	—
1180	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1181	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1182	C₂	C₁₃×#3584	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#575	C₂	semidirect
2. C₂²×C₁₃×#135	C₂	semidirect
3. D₄×C₁₃×#41	C₂	semidirect
4. C₁₃×#3271	C₂	semidirect
5. C₁₃×#3270	C₂	semidirect
6. C₁₃×#3269	C₂	semidirect
7. C₁₃×#3268	C₂	semidirect
8. C₁₃×#3267	C₂	semidirect
9. C₁₃×#3266	C₂	semidirect
10. C₁₃×#3265	C₂	semidirect
11. C₁₃×#3264	C₂	semidirect
12. C₁₃×#3150	C₂	semidirect
13. C₁₃×#3054	C₂	semidirect
14. C₁₃×#3050	C₂	semidirect
15. C₁₃×#3035	C₂	semidirect
16. C₁₃×#3002	C₂	semidirect
17. C₁₃×#3002	C₂	semidirect
18. C₁₃×#2943	C₂	semidirect
19. C₂×C₁₃×#435	C₂	semidirect
20. C₂²×C₁₃×#41	C₂²	semidirect
21. C₂²×C₁₃×#41	C₂²	semidirect
23. C₂×C₁₃×#137	C₂²	semidirect
24. C₂×C₁₃×#137	C₂²	semidirect
25. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
26. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
29. C₂×C₁₃×#135	C₂²	semidirect
30. C₂×C₁₃×#135	C₂²	semidirect
31. C₂×C₁₃×#135	C₂²	semidirect
32. C₂×C₁₃×#135	C₂²	semidirect
33. C₂×C₁₃×#135	C₂²	semidirect
34. C₂×C₁₃×#135	C₂²	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
36. C₂×C₁₃×#135	C₂²	semidirect
37. C₂²×C₁₃×Q₁₆	C₂²	semidirect
38. C₂²×C₁₃×SD₁₆	C₂²	semidirect
39. C₂²×C₁₃×D₈	C₂²	semidirect
40. C₂²×C₁₃×M₁₆	C₂²	semidirect
41. C₂³×C₈×C₁₃	C₂²	semidirect
42. C₁₃×#550	C₂²	semidirect
43. D₄×Q₈×C₁₃	C₂²	semidirect
45. C₁₃×#548	C₂²	semidirect
47. C₁₃×#547	C₂²	semidirect
51. C₁₃×#546	C₂²	semidirect
53. D₄²×C₁₃	C₂²	semidirect
55. C₁₃×#532	C₂²	semidirect
58. C₁₃×#525	C₂²	semidirect
59. C₁₃×#525	C₂²	semidirect
60. C₄×C₁₃×#41	C₂²	semidirect
63. C₁₃×#497	C₂²	semidirect
64. C₁₃×#497	C₂²	semidirect
65. C₁₃×#496	C₂²	semidirect
66. C₁₃×#496	C₂²	semidirect
67. C₁₃×#470	C₂²	semidirect
68. C₁₃×#469	C₂²	semidirect
69. C₁₃×#468	C₂²	semidirect
70. C₁₃×#468	C₂²	semidirect
71. C₁₃×#467	C₂²	semidirect
72. C₁₃×#467	C₂²	semidirect
73. C₁₃×#466	C₂²	semidirect
74. C₁₃×#466	C₂²	semidirect
75. C₁₃×#465	C₂²	semidirect
76. C₁₃×#465	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#463	C₂²	semidirect
80. C₁₃×#463	C₂²	semidirect
81. C₁₃×#462	C₂²	semidirect
82. C₁₃×#461	C₂²	semidirect
83. C₁₃×#460	C₂²	semidirect
84. C₁₃×#459	C₂²	semidirect
85. C₁₃×#452	C₂²	semidirect
86. C₁₃×#452	C₂²	semidirect
87. C₁₃×#452	C₂²	semidirect
88. C₁₃×#452	C₂²	semidirect
89. C₁₃×#451	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#450	C₂²	semidirect
92. C₁₃×#450	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#449	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
97. C₁₃×#448	C₂²	semidirect
98. C₁₃×#448	C₂²	semidirect
99. C₁₃×#447	C₂²	semidirect
100. C₁₃×#447	C₂²	semidirect
101. C₁₃×#442	C₂²	semidirect
102. C₁₃×#441	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₁₃×#440	C₂²	semidirect
105. C₁₃×#435	C₂²	semidirect
106. C₁₃×#435	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
109. C₁₃×#427	C₂²	semidirect
110. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
111. C₁₃×#416	C₂²	semidirect
112. C₁₃×#416	C₂²	semidirect
113. C₁₃×#416	C₂²	semidirect
114. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
115. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
116. C₂×C₁₃×#97	C₂²	semidirect
156. C₁₃×#135	D₄	semidirect
288. #61030	C₁₃	direct (N × H)
310. C₁₃×#41	C₂×D₄	semidirect
381. C₁₃×Q₁₆	C₂×D₄	semidirect
390. C₁₃×SD₁₆	C₂×D₄	semidirect
396. C₁₃×D₈	C₂×D₄	semidirect
406. C₂×C₈×C₁₃	C₂×D₄	semidirect
449. C₂×#575	C₂×C₁₃	semidirect
450. C₂²×#135	C₂×C₁₃	semidirect
451. D₄×#41	C₂×C₁₃	semidirect
452. #3271	C₂×C₁₃	semidirect
453. #3270	C₂×C₁₃	semidirect
454. #3269	C₂×C₁₃	semidirect
455. #3268	C₂×C₁₃	semidirect
456. #3267	C₂×C₁₃	semidirect
457. #3266	C₂×C₁₃	semidirect
458. #3265	C₂×C₁₃	semidirect
459. #3264	C₂×C₁₃	semidirect
460. #3150	C₂×C₁₃	semidirect
461. #3054	C₂×C₁₃	semidirect
462. #3050	C₂×C₁₃	semidirect
463. #3035	C₂×C₁₃	semidirect
464. #3002	C₂×C₁₃	semidirect
465. #3002	C₂×C₁₃	semidirect
466. #2943	C₂×C₁₃	semidirect
467. C₂×#435	C₂×C₁₃	semidirect
562. C₂²×#41	C₂²×C₁₃	semidirect
563. C₂²×#41	C₂²×C₁₃	semidirect
565. C₂×#137	C₂²×C₁₃	semidirect
566. C₂×#137	C₂²×C₁₃	semidirect
567. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
568. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
571. C₂×#135	C₂²×C₁₃	semidirect
572. C₂×#135	C₂²×C₁₃	semidirect
573. C₂×#135	C₂²×C₁₃	semidirect
574. C₂×#135	C₂²×C₁₃	semidirect
575. C₂×#135	C₂²×C₁₃	semidirect
576. C₂×#135	C₂²×C₁₃	semidirect
577. C₂×#135	C₂²×C₁₃	semidirect
578. C₂×#135	C₂²×C₁₃	semidirect
579. C₂²×Q₁₆	C₂²×C₁₃	semidirect
580. C₂²×SD₁₆	C₂²×C₁₃	semidirect
581. C₂²×D₈	C₂²×C₁₃	semidirect
582. C₂²×M₁₆	C₂²×C₁₃	semidirect
583. C₂³×C₈	C₂²×C₁₃	semidirect
584. #550	C₂²×C₁₃	semidirect
585. D₄×Q₈	C₂²×C₁₃	semidirect
587. #548	C₂²×C₁₃	semidirect
589. #547	C₂²×C₁₃	semidirect
593. #546	C₂²×C₁₃	semidirect
595. D₄²	C₂²×C₁₃	semidirect
597. #532	C₂²×C₁₃	semidirect
600. #525	C₂²×C₁₃	semidirect
601. #525	C₂²×C₁₃	semidirect
602. C₄×#41	C₂²×C₁₃	semidirect
605. #497	C₂²×C₁₃	semidirect
606. #497	C₂²×C₁₃	semidirect
607. #496	C₂²×C₁₃	semidirect
608. #496	C₂²×C₁₃	semidirect
609. #470	C₂²×C₁₃	semidirect
610. #469	C₂²×C₁₃	semidirect
611. #468	C₂²×C₁₃	semidirect
612. #468	C₂²×C₁₃	semidirect
613. #467	C₂²×C₁₃	semidirect
614. #467	C₂²×C₁₃	semidirect
615. #466	C₂²×C₁₃	semidirect
616. #466	C₂²×C₁₃	semidirect
617. #465	C₂²×C₁₃	semidirect
618. #465	C₂²×C₁₃	semidirect
619. #464	C₂²×C₁₃	semidirect
620. #464	C₂²×C₁₃	semidirect
621. #463	C₂²×C₁₃	semidirect
622. #463	C₂²×C₁₃	semidirect
623. #462	C₂²×C₁₃	semidirect
624. #461	C₂²×C₁₃	semidirect
625. #460	C₂²×C₁₃	semidirect
626. #459	C₂²×C₁₃	semidirect
627. #452	C₂²×C₁₃	semidirect
628. #452	C₂²×C₁₃	semidirect
629. #452	C₂²×C₁₃	semidirect
630. #452	C₂²×C₁₃	semidirect
631. #451	C₂²×C₁₃	semidirect
632. #451	C₂²×C₁₃	semidirect
633. #450	C₂²×C₁₃	semidirect
634. #450	C₂²×C₁₃	semidirect
635. #449	C₂²×C₁₃	semidirect
636. #449	C₂²×C₁₃	semidirect
637. #449	C₂²×C₁₃	semidirect
638. #449	C₂²×C₁₃	semidirect
639. #448	C₂²×C₁₃	semidirect
640. #448	C₂²×C₁₃	semidirect
641. #447	C₂²×C₁₃	semidirect
642. #447	C₂²×C₁₃	semidirect
643. #442	C₂²×C₁₃	semidirect
644. #441	C₂²×C₁₃	semidirect
645. #440	C₂²×C₁₃	semidirect
646. #440	C₂²×C₁₃	semidirect
647. #435	C₂²×C₁₃	semidirect
648. #435	C₂²×C₁₃	semidirect
649. #435	C₂²×C₁₃	semidirect
650. #435	C₂²×C₁₃	semidirect
651. #427	C₂²×C₁₃	semidirect
652. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
653. #416	C₂²×C₁₃	semidirect
654. #416	C₂²×C₁₃	semidirect
655. #416	C₂²×C₁₃	semidirect
656. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
657. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
658. C₂×#97	C₂²×C₁₃	semidirect
683. C₂²×C₁₃	#575	semidirect
737. #135	D₄×C₁₃	semidirect
900. #41	C₂×D₄×C₁₃	semidirect
971. Q₁₆	C₂×D₄×C₁₃	semidirect
980. SD₁₆	C₂×D₄×C₁₃	semidirect
986. D₈	C₂×D₄×C₁₃	semidirect
996. C₂×C₈	C₂×D₄×C₁₃	semidirect
1039. C₁₃	#61030	direct (N × H)
1158. C₂²	C₁₃×#575	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#575	2
C₂²×C₁₃×#135	2
D₄×C₁₃×#41	2
C₁₃×#3271	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3268	2
C₁₃×#3267	2
C₁₃×#3266	2
C₁₃×#3265	2
C₁₃×#3264	2
C₁₃×#3150	2
C₁₃×#3054	2
C₁₃×#3050	2
C₁₃×#3035	2
C₁₃×#3002	2
C₁₃×#2943	2
C₂×C₁₃×#435	2
#61030	13

Subgroups — C13×#61030 #15747369

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61030 #15747369