Subgroups — #16744835

Order 3328.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128441	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#6129	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127875	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127736	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127623	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127538	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127308	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127301	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127188	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126977	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126970	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126797	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126790	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126653	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126642	C₂	1	1	yes	maximal, characteristic, complemented
16	D₈×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126310	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125569	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125531	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125527	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124980	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124975	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124973	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124926	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124922	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124922	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123846	C₂	1	1	yes	maximal, characteristic, complemented
28	AGL(1,ℤ/8)×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718813	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#6129	—	2	1	no	—
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
35	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
36	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	#11719534	C₂²	1	1	yes	characteristic, complemented
38	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
39	#11719511	—	2	1	no	—
40	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
41	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
42	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
47	#11719423	C₂²	1	1	yes	characteristic, complemented
48	#11719421	C₂²	1	1	yes	characteristic, complemented
49	#11719386	C₂²	1	1	yes	characteristic, complemented
50	#11719385	C₂²	1	1	yes	characteristic, complemented
51	#11719363	—	2	1	no	—
52	#11719354	—	2	1	no	—
53	#11719340	C₂²	1	1	yes	characteristic, complemented
54	#11719329	C₂²	1	1	yes	characteristic, complemented
55	#11719319	C₂²	1	1	yes	characteristic, complemented
56	#11719316	C₂²	1	1	yes	characteristic
57	#11719316	C₂²	1	1	yes	characteristic, complemented
58	#11719311	—	2	1	no	—
59	#11719311	—	2	1	no	—
60	#11719306	—	2	1	no	—
61	#11719303	—	2	1	no	—
62	#11719301	C₂²	1	1	yes	characteristic, complemented
63	#11719301	C₂²	1	1	yes	characteristic, complemented
64	#11719301	C₂²	1	1	yes	characteristic, complemented
65	#11719296	—	2	1	no	—
66	#11719296	—	2	1	no	—
67	#11719296	—	2	1	no	—
68	#11719291	—	2	1	no	—
69	#11719291	—	2	1	no	—
70	#11719291	—	2	1	no	—
71	#11719270	C₂²	1	1	yes	characteristic, complemented
72	#11719260	C₂²	1	1	yes	characteristic, complemented
73	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
74	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
75	#11719244	C₂²	1	1	yes	characteristic, complemented
76	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
77	C₄×#6129	C₂²	1	1	yes	characteristic
78	#11719200	—	2	1	no	—
79	C₂×#88135	—	2	1	no	—
80	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#442	C₂²	1	1	yes	characteristic
90	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
91	#11718899	C₂²	1	1	yes	characteristic, complemented
92	#11718893	C₂²	1	1	yes	characteristic, complemented
93	#11718878	C₂²	1	1	yes	characteristic
94	#11718878	C₂²	1	1	yes	characteristic, complemented
95	#11718878	C₂²	1	1	yes	characteristic, complemented
96	#11718876	C₂²	1	1	yes	characteristic, complemented
97	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
99	#11718837	C₂²	1	1	yes	characteristic, complemented
100	#11718832	C₂²	1	1	yes	characteristic, complemented
101	#11718832	C₂²	1	1	yes	characteristic, complemented
102	#11718830	C₂²	1	1	yes	characteristic, complemented
103	#11718826	C₂²	1	1	yes	characteristic, complemented
104	#11718826	C₂²	1	1	yes	characteristic, complemented
105	#11718825	C₂²	1	1	yes	characteristic, complemented
106	#11718825	C₂²	1	1	yes	characteristic, complemented
107	#11718825	C₂²	1	1	yes	characteristic, complemented
108	#11718824	C₂²	1	1	yes	characteristic, complemented
109	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
110	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
111	#11718818	C₂²	1	1	yes	characteristic, complemented
112	#11718818	C₂²	1	1	yes	characteristic, complemented
113	#11718817	C₂²	1	1	yes	characteristic
114	#11718817	C₂²	1	1	yes	characteristic, complemented
115	#11718817	C₂²	1	1	yes	characteristic, complemented
116	#11718813	C₂²	1	1	yes	characteristic
117	#11718813	C₂²	1	1	yes	characteristic
118	#11718813	C₂²	1	1	yes	characteristic, complemented
119	#11718813	C₂²	1	1	yes	characteristic, complemented
120	#11718813	C₂²	1	1	yes	characteristic, complemented
121	#11718813	C₂²	1	1	yes	characteristic, complemented
122	#11718813	C₂²	1	1	yes	characteristic, complemented
123	#11718813	C₂²	1	1	yes	characteristic, complemented
124	#11718813	C₂²	1	1	yes	characteristic, complemented
125	#11718813	C₂²	1	1	yes	characteristic, complemented
126	#11718812	C₂²	1	1	yes	characteristic, complemented
127	#11718811	C₂²	1	1	yes	characteristic
128	#11718811	C₂²	1	1	yes	characteristic, complemented
129	#11718811	C₂²	1	1	yes	characteristic, complemented
130	#11718811	C₂²	1	1	yes	characteristic, complemented
131	#11718811	C₂²	1	1	yes	characteristic, complemented
132	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
133	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
134	#11718796	C₂²	1	1	yes	characteristic, complemented
135	#11718788	C₂²	1	1	yes	characteristic, complemented
136	#11718782	C₂²	1	1	yes	characteristic, complemented
137	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
138	#11718776	C₂²	1	1	yes	characteristic, complemented
139	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88057	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88055	C₂²	1	1	yes	characteristic, complemented
142	#11718733	C₂²	1	1	yes	characteristic, complemented
143	#11718732	C₂²	1	1	yes	characteristic, complemented
144	#11718718	C₂²	1	1	yes	characteristic, complemented
145	#11718716	C₂²	1	1	yes	characteristic, complemented
146	#11718709	C₂²	1	1	yes	characteristic, complemented
147	#11718704	C₂²	1	1	yes	characteristic, complemented
148	#11718700	C₂²	1	1	yes	characteristic, complemented
149	#11718700	C₂²	1	1	yes	characteristic, complemented
150	#11718699	C₂²	1	1	yes	characteristic, complemented
151	#11718696	C₂²	1	1	yes	characteristic, complemented
152	#11718695	C₂²	1	1	yes	characteristic, complemented
153	#11718695	C₂²	1	1	yes	characteristic, complemented
154	#11718675	C₂²	1	1	yes	characteristic, complemented
155	#11718675	C₂²	1	1	yes	characteristic, complemented
156	#11718672	C₂²	1	1	yes	characteristic, complemented
157	#11718670	C₂²	1	1	yes	characteristic, complemented
158	#11718669	C₂²	1	1	yes	characteristic, complemented
159	#11718530	C₂²	1	1	yes	characteristic, complemented
160	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
161	#11718517	C₂²	1	1	yes	characteristic, complemented
162	#11718516	C₂²	1	1	yes	characteristic, complemented
163	#11718508	C₂²	1	1	yes	characteristic, complemented
164	#11718503	C₂²	1	1	yes	characteristic, complemented
165	#11718496	C₂²	1	1	yes	characteristic, complemented
166	#11718489	C₂²	1	1	yes	characteristic, complemented
167	#11718478	C₂²	1	1	yes	characteristic, complemented
168	#11718466	C₂²	1	1	yes	characteristic, complemented
169	#11718456	C₂²	1	1	yes	characteristic, complemented
170	#11718452	C₂²	1	1	yes	characteristic, complemented
171	#11718446	C₂²	1	1	yes	characteristic, complemented
172	#11718446	C₂²	1	1	yes	characteristic, complemented
173	#11718446	C₂²	1	1	yes	characteristic, complemented
174	#11718446	C₂²	1	1	yes	characteristic, complemented
175	#11718446	C₂²	1	1	yes	characteristic, complemented
176	#11718438	C₂²	1	1	yes	characteristic, complemented
177	#11718438	C₂²	1	1	yes	characteristic, complemented
178	#11718435	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
180	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
181	#11718427	C₂²	1	1	yes	characteristic, complemented
182	#11718427	C₂²	1	1	yes	characteristic, complemented
183	#11718425	C₂²	1	1	yes	characteristic, complemented
184	#11718422	C₂²	1	1	yes	characteristic, complemented
185	#11718422	C₂²	1	1	yes	characteristic, complemented
186	#11718422	C₂²	1	1	yes	characteristic, complemented
187	#11718422	C₂²	1	1	yes	characteristic, complemented
188	#11718421	C₂²	1	1	yes	characteristic, complemented
189	#11718421	C₂²	1	1	yes	characteristic, complemented
190	#11718420	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718397	C₂²	1	1	yes	characteristic, complemented
193	#11718396	C₂²	1	1	yes	characteristic, complemented
194	#11718396	C₂²	1	1	yes	characteristic, complemented
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	#11718380	C₂²	1	1	yes	characteristic, complemented
198	#11718380	C₂²	1	1	yes	characteristic, complemented
199	#11718372	C₂²	1	1	yes	characteristic, complemented
200	D₁₃×#97	C₂²	1	1	yes	characteristic, complemented
201	#11718363	C₂²	1	1	yes	characteristic, complemented
202	#11718362	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	—	2	1	no	—
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	C₂³×Dic₁₃	—	2	1	no	—
212	C₂³×Dic₁₃	—	2	1	no	—
213	C₂³×Dic₁₃	—	2	1	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	—	2	1	no	—
220	C₂×#6129	—	2	1	no	—
221	C₂×#6129	—	2	1	no	—
222	C₂×#6129	—	4	8	no	—
223	C₂×#6129	D₄	1	1	yes	characteristic
224	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₁₃	—	2	1	no	—
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×Dic₂₆	—	2	1	no	—
229	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
230	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×D₈	—	2	4	no	—
234	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
241	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₁₃×#127	C₂³	1	1	yes	characteristic
243	C₁₃×#124	C₂³	1	1	yes	characteristic
244	C₁₃×#123	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×#121	—	2	1	no	—
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#120	—	2	1	no	—
252	C₁₃×#120	—	2	1	no	—
253	C₁₃×#120	—	2	1	no	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
258	#88207	—	2	1	no	—
259	#88207	—	2	1	no	—
260	#88207	—	2	1	no	—
261	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
262	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
263	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
264	#88201	C₂³	1	1	yes	characteristic
265	#88200	C₂³	1	1	yes	characteristic
266	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
267	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×#6106	C₂³	1	1	yes	characteristic
269	#88194	C₂³	1	1	yes	characteristic
270	#88194	C₂³	1	1	yes	characteristic
271	#88194	C₂³	1	1	yes	characteristic
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88193	—	2	1	no	—
280	#88193	—	2	1	no	—
281	#88193	—	2	1	no	—
282	#88192	—	2	1	no	—
283	#88192	—	2	1	no	—
284	#88192	—	2	1	no	—
285	#88192	C₂³	1	1	yes	characteristic
286	#88192	C₂³	1	1	yes	characteristic
287	#88192	C₂³	1	1	yes	characteristic
288	#88191	—	2	1	no	—
289	#88191	—	2	1	no	—
290	#88191	—	2	1	no	—
291	#88191	—	2	1	no	—
292	#88190	—	2	1	no	—
293	#88189	—	2	1	no	—
294	#88189	—	2	1	no	—
295	#88189	—	2	1	no	—
296	D₄×Dic₁₃	—	2	1	no	—
297	D₄×Dic₁₃	—	2	1	no	—
298	D₄×Dic₁₃	—	2	1	no	—
299	D₄×Dic₁₃	—	2	1	no	—
300	D₄×Dic₁₃	—	2	1	no	—
301	D₄×Dic₁₃	—	2	1	no	—
302	D₄×Dic₁₃	—	2	1	no	—
303	D₄×Dic₁₃	—	2	1	no	—
304	D₄×Dic₁₃	—	2	1	no	—
305	D₄×Dic₁₃	D₄	1	1	yes	characteristic
306	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
317	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
318	C₂×#6104	C₂³	1	1	yes	characteristic
319	C₂×#6104	C₂³	1	1	yes	characteristic
320	C₂×#6104	C₂³	1	1	yes	characteristic
321	C₂×#6104	C₂³	1	1	yes	characteristic
322	C₂×#6104	C₂³	1	1	yes	characteristic
323	#88184	C₂³	1	1	yes	characteristic
324	#88184	C₂³	1	1	yes	characteristic
325	#88184	C₂³	1	1	yes	characteristic
326	#88184	C₂³	1	1	yes	characteristic
327	#88183	—	2	1	no	—
328	C₄×C₂²⋊D₁₃	—	2	1	no	—
329	C₄×C₂²⋊D₁₃	—	2	1	no	—
330	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
331	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
332	C₂×#6103	—	2	1	no	—
333	#88180	—	2	1	no	—
334	#88180	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
338	#88178	—	2	1	no	—
339	#88178	—	2	1	no	—
340	C₂×#6101	—	2	1	no	—
341	C₂×C₄×Dic₁₃	—	2	1	no	—
342	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
344	C₂×#6099	C₂³	1	1	yes	characteristic
345	C₂²×#1055	C₂³	1	1	yes	characteristic
346	D₈×D₁₃	—	2	4	no	—
347	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
348	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
349	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
350	#88152	—	2	1	no	—
351	#88152	—	2	1	no	—
352	#88151	—	2	1	no	—
353	#88151	—	2	1	no	—
354	#88147	C₂³	1	1	yes	characteristic
355	#88147	C₂³	1	1	yes	characteristic
356	#88146	—	2	1	no	—
357	#88146	D₄	1	1	yes	characteristic
358	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
359	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
360	#88144	C₂³	1	1	yes	characteristic
361	#88143	—	2	1	no	—
362	#88142	C₂³	1	1	yes	characteristic
363	#88142	C₂³	1	1	yes	characteristic
364	#88142	C₂³	1	1	yes	characteristic
365	#88141	D₄	1	1	yes	characteristic
366	#88140	—	2	1	no	—
367	#88140	—	2	1	no	—
368	#88140	—	2	1	no	—
369	#88140	—	2	1	no	—
370	#88139	—	2	1	no	—
371	#88139	—	2	1	no	—
372	#88139	—	2	1	no	—
373	#88139	—	2	1	no	—
374	#88137	—	2	1	no	—
375	#88137	—	2	1	no	—
376	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88135	—	2	1	no	—
380	#88135	—	2	1	no	—
381	#88135	—	2	1	no	—
382	#88135	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	—	2	1	no	—
385	#88135	—	2	1	no	—
386	#88135	—	2	1	no	—
387	#88135	—	2	1	no	—
388	#88135	—	2	1	no	—
389	#88135	—	2	1	no	—
390	#88135	D₄	1	1	yes	characteristic
391	#88135	D₄	1	1	yes	characteristic
392	C₂²⋊C₄×D₁₃	—	2	1	no	—
393	C₂²⋊C₄×D₁₃	—	2	1	no	—
394	#88133	—	2	1	no	—
395	#88133	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	—	2	1	no	—
399	#88132	—	2	1	no	—
400	#88132	—	2	1	no	—
401	#88132	—	2	1	no	—
402	#88132	—	2	1	no	—
403	#88131	—	2	1	no	—
404	#88131	D₄	1	1	yes	characteristic
405	#88131	D₄	1	1	yes	characteristic
406	C₄×D₅₂	C₂³	1	1	yes	characteristic
407	C₄×D₅₂	C₂³	1	1	yes	characteristic
408	C₄²×D₁₃	C₂³	1	1	yes	characteristic
409	#88124	C₂³	1	1	yes	characteristic
410	#88123	C₂³	1	1	yes	characteristic
411	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
412	C₁₃×#106	C₂³	1	1	yes	characteristic
413	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
414	C₁₃×#103	C₂³	1	1	yes	characteristic
415	C₁₃×#102	C₂³	1	1	yes	characteristic
416	C₁₃×#102	C₂³	1	1	yes	characteristic
417	C₁₃×#102	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×#102	C₂³	1	1	yes	characteristic
420	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₁₃×#97	C₂³	1	1	yes	characteristic
423	#88075	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88072	C₂³	1	1	yes	characteristic
427	#88072	C₂³	1	1	yes	characteristic
428	#88072	C₂³	1	1	yes	characteristic
429	#88072	C₂³	1	1	yes	characteristic
430	#88072	C₂³	1	1	yes	characteristic
431	#88072	C₂³	1	1	yes	characteristic
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	C₂²⋊#1055	C₂³	1	1	yes	characteristic
442	C₂²⋊#1055	C₂³	1	1	yes	characteristic
443	#88061	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic
445	#88061	C₂³	1	1	yes	characteristic
446	#88061	C₂³	1	1	yes	characteristic
447	#88061	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88060	C₂³	1	1	yes	characteristic
450	#88060	C₂³	1	1	yes	characteristic
451	#88058	C₂³	1	1	yes	characteristic
452	#88058	C₂³	1	1	yes	characteristic
453	#88058	C₂³	1	1	yes	characteristic
454	#88057	C₂³	1	1	yes	characteristic
455	#88057	C₂³	1	1	yes	characteristic
456	#88057	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88057	C₂³	1	1	yes	characteristic
460	#88055	C₂³	1	1	yes	characteristic
461	#88055	C₂³	1	1	yes	characteristic
462	#88055	C₂³	1	1	yes	characteristic
463	#88055	C₂³	1	1	yes	characteristic
464	#88055	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88048	C₂³	1	1	yes	characteristic
477	#88048	C₂³	1	1	yes	characteristic
478	#88048	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	C₄⋊#1055	C₂³	1	1	yes	characteristic
481	#88043	C₂³	1	1	yes	characteristic
482	#61451	—	13	1	no	maximal, Sylow
483	C₂⁴×C₁₃	—	2	1	no	—
484	C₂⁴×C₁₃	—	2	1	no	—
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₁₃×#41	—	2	2	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₁₃	—	2	2	no	—
492	C₂×D₄×C₁₃	—	2	2	no	—
493	C₂×D₄×C₁₃	—	2	2	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	4	1	no	—
504	C₂×D₄×C₁₃	—	4	1	no	—
505	C₂×D₄×C₁₃	—	4	1	no	—
506	C₂×D₄×C₁₃	—	4	4	no	—
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	4	4	no	—
534	C₂×C₂²⋊D₁₃	—	4	4	no	—
535	C₂×C₂²⋊D₁₃	—	4	4	no	—
536	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	—	2	1	no	—
541	C₂²×Dic₁₃	—	2	1	no	—
542	C₂²×Dic₁₃	—	2	1	no	—
543	C₂²×Dic₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	2	1	no	—
546	C₂²×Dic₁₃	—	2	1	no	—
547	C₂²×Dic₁₃	—	2	1	no	—
548	C₂²×Dic₁₃	—	2	1	no	—
549	C₂²×Dic₁₃	—	2	1	no	—
550	C₂²×Dic₁₃	—	2	1	no	—
551	C₂²×Dic₁₃	—	2	1	no	—
552	C₂²×Dic₁₃	—	2	1	no	—
553	C₂²×Dic₁₃	—	4	4	no	—
554	C₂²×Dic₁₃	—	4	4	no	—
555	C₂²×Dic₁₃	—	8	2	no	—
556	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
557	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
558	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
559	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
560	#6129	—	2	4	no	—
561	#6129	—	4	4	no	—
562	#6129	—	4	4	no	—
563	#6129	—	4	4	no	—
564	#6129	—	4	4	no	—
565	#6129	—	4	4	no	—
566	#6129	—	4	4	no	—
567	#6129	—	4	4	no	—
568	#6129	—	8	2	no	—
569	D₄×D₁₃	—	2	2	no	—
570	D₄×D₁₃	—	2	2	no	—
571	D₄×D₁₃	—	4	1	no	—
572	D₄×D₁₃	—	4	1	no	—
573	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
574	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	4	4	no	—
582	C₂×C₄×D₁₃	—	8	2	no	—
583	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₂₆	—	2	1	no	—
587	C₂×Dic₂₆	—	2	1	no	—
588	C₂×Dic₂₆	—	2	1	no	—
589	C₂×Dic₂₆	—	2	1	no	—
590	C₂×Dic₂₆	—	4	4	no	—
591	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
592	C₁₃×SD₁₆	—	2	2	no	—
593	C₁₃×SD₁₆	—	2	2	no	—
594	C₁₃×SD₁₆	—	4	1	no	—
595	C₁₃×D₈	—	2	2	no	—
596	C₁₃×D₈	—	2	2	no	—
597	C₁₃×D₈	—	2	2	no	—
598	C₁₃×D₈	—	2	2	no	—
599	C₁₃×D₈	—	4	1	no	—
600	C₁₃×D₈	#41	1	4	yes	complemented
601	C₁₃×M₁₆	—	2	2	no	—
602	C₂×C₈×C₁₃	—	2	2	no	—
603	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
622	C₂²⋊Dic₁₃	—	2	1	no	—
623	C₂²⋊Dic₁₃	—	2	1	no	—
624	C₂²⋊Dic₁₃	—	2	1	no	—
625	C₂²⋊Dic₁₃	—	2	1	no	—
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	—	2	1	no	—
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
639	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
640	#6106	—	4	1	no	—
641	#6104	—	2	2	no	—
642	#6104	—	2	2	no	—
643	#6104	—	4	1	no	—
644	#6104	—	4	1	no	—
645	#6104	—	4	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	C₂×D₄	1	1	yes	characteristic
658	#6103	C₂×D₄	1	1	yes	characteristic
659	C₄⋊Dic₁₃	—	2	1	no	—
660	C₄⋊Dic₁₃	—	2	1	no	—
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	—	2	1	no	—
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	—	2	1	no	—
665	C₄⋊Dic₁₃	—	2	1	no	—
666	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	C₂×D₄	1	1	yes	characteristic
683	#6101	C₂×D₄	1	1	yes	characteristic
684	#6101	C₂×D₄	1	1	yes	characteristic
685	#6101	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₁₃	—	2	1	no	—
687	C₄×Dic₁₃	—	2	1	no	—
688	C₄×Dic₁₃	—	2	1	no	—
689	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
696	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
697	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
698	#6099	—	4	1	no	—
699	C₂×#1055	—	4	1	no	—
700	C₂×#1055	C₂⁴	1	1	yes	characteristic
701	C₂×#1055	C₂⁴	1	1	yes	characteristic
702	C₂×#1055	C₂⁴	1	1	yes	characteristic
703	C₂×#1055	C₂⁴	1	1	yes	characteristic
704	D₁₀₄	—	2	2	no	—
705	C₈×D₁₃	—	2	2	no	—
706	C₈×D₁₃	—	4	1	no	—
707	#3481	—	13	1	no	—
708	D₄×#41	—	13	1	no	—
709	#3399	—	13	1	no	—
710	#3384	—	13	1	no	—
711	#3373	—	13	1	no	—
712	#3366	—	13	1	no	—
713	#3345	—	13	1	no	—
714	#3345	—	13	1	no	—
715	#3335	—	13	1	no	—
716	#3318	—	13	1	no	—
717	#3318	—	13	1	no	—
718	#3306	—	13	1	no	—
719	#3306	—	13	1	no	—
720	#3295	—	13	1	no	—
721	#3294	—	13	1	no	—
722	D₄×D₈	—	13	1	no	—
723	#3264	—	13	1	no	—
724	#3264	D₁₃	1	1	yes	characteristic, complemented
725	#3184	—	13	1	no	—
726	#3180	—	13	1	no	—
727	#3180	—	13	1	no	—
728	#3115	—	13	1	no	—
729	#3114	—	13	1	no	—
730	#3114	—	13	1	no	—
731	#3109	—	13	1	no	—
732	#3109	—	13	1	no	—
733	#3109	—	13	1	no	—
734	#2970	—	13	1	no	—
735	C₄×AGL(1,ℤ/8)	—	13	1	no	—
736	C₂×#442	—	13	1	no	—
737	C₂×#442	—	13	1	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	—	2	1	no	—
740	C₂³×C₁₃	—	2	1	no	—
741	C₂³×C₁₃	—	2	1	no	—
742	C₂³×C₁₃	—	2	1	no	—
743	C₂³×C₁₃	—	4	2	no	—
744	C₂³×C₁₃	—	4	2	no	—
745	C₂³×C₁₃	—	4	2	no	—
746	C₂³×C₁₃	—	4	2	no	—
747	C₂³×C₁₃	—	4	2	no	—
748	C₂³×C₁₃	—	4	2	no	—
749	C₂³×C₁₃	—	8	1	no	—
750	C₂³×C₁₃	—	8	1	no	—
751	C₂³×C₁₃	—	8	1	no	—
752	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
753	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
754	C₂²×D₁₃	—	2	1	no	—
755	C₂²×D₁₃	—	2	1	no	—
756	C₂²×D₁₃	—	4	2	no	—
757	C₂²×D₁₃	—	4	2	no	—
758	C₂²×D₁₃	—	4	2	no	—
759	C₂²×D₁₃	—	4	2	no	—
760	C₂²×D₁₃	—	8	1	no	—
761	C₂²×D₁₃	—	8	1	no	—
762	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
763	Q₈×C₁₃	—	2	1	no	—
764	Q₈×C₁₃	—	2	1	no	—
765	D₄×C₁₃	—	2	2	no	—
766	D₄×C₁₃	—	2	1	no	—
767	D₄×C₁₃	—	2	1	no	—
768	D₄×C₁₃	—	2	1	no	—
769	D₄×C₁₃	—	2	1	no	—
770	D₄×C₁₃	—	2	1	no	—
771	D₄×C₁₃	—	2	1	no	—
772	D₄×C₁₃	—	2	1	no	—
773	D₄×C₁₃	—	2	1	no	—
774	D₄×C₁₃	—	4	2	no	—
775	D₄×C₁₃	—	4	2	no	—
776	D₄×C₁₃	—	4	2	no	—
777	D₄×C₁₃	—	4	2	no	—
778	D₄×C₁₃	—	4	2	no	—
779	D₄×C₁₃	—	4	2	no	—
780	D₄×C₁₃	—	4	2	no	—
781	D₄×C₁₃	—	8	1	no	—
782	D₄×C₁₃	—	8	1	no	—
783	D₄×C₁₃	C₂×#41	1	2	yes	—
784	D₄×C₁₃	C₂×#41	1	2	yes	complemented
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	4	2	no	—
793	C₂×C₄×C₁₃	—	4	2	no	—
794	C₂×C₄×C₁₃	—	8	1	no	—
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
800	C₂²⋊D₁₃	—	2	2	no	—
801	C₂²⋊D₁₃	—	4	2	no	—
802	C₂²⋊D₁₃	—	4	2	no	—
803	C₂²⋊D₁₃	—	4	2	no	—
804	C₂²⋊D₁₃	—	4	2	no	—
805	C₂²⋊D₁₃	—	4	2	no	—
806	C₂²⋊D₁₃	—	4	2	no	—
807	C₂²⋊D₁₃	—	4	2	no	—
808	C₂²⋊D₁₃	—	4	2	no	—
809	C₂²⋊D₁₃	—	4	2	no	—
810	C₂²⋊D₁₃	—	4	2	no	—
811	C₂²⋊D₁₃	—	4	2	no	—
812	C₂²⋊D₁₃	—	8	1	no	—
813	C₂²⋊D₁₃	—	8	1	no	—
814	C₂²⋊D₁₃	—	8	1	no	—
815	C₂²⋊D₁₃	—	8	1	no	—
816	C₂²⋊D₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
817	C₂×Dic₁₃	—	2	2	no	—
818	C₂×Dic₁₃	—	2	2	no	—
819	C₂×Dic₁₃	—	2	1	no	—
820	C₂×Dic₁₃	—	2	1	no	—
821	C₂×Dic₁₃	—	2	1	no	—
822	C₂×Dic₁₃	—	2	1	no	—
823	C₂×Dic₁₃	—	2	1	no	—
824	C₂×Dic₁₃	—	2	1	no	—
825	C₂×Dic₁₃	—	4	1	no	—
826	C₂×Dic₁₃	—	4	1	no	—
827	C₂×Dic₁₃	—	4	2	no	—
828	C₂×Dic₁₃	—	4	2	no	—
829	C₂×Dic₁₃	—	4	2	no	—
830	C₂×Dic₁₃	—	4	2	no	—
831	C₂×Dic₁₃	—	4	2	no	—
832	C₂×Dic₁₃	—	4	2	no	—
833	C₂×Dic₁₃	—	4	2	no	—
834	C₂×Dic₁₃	—	4	2	no	—
835	C₂×Dic₁₃	—	4	2	no	—
836	C₂×Dic₁₃	—	4	2	no	—
837	C₂×Dic₁₃	—	4	2	no	—
838	C₂×Dic₁₃	—	4	2	no	—
839	C₂×Dic₁₃	—	8	1	no	—
840	C₂×Dic₁₃	—	8	1	no	—
841	C₂×Dic₁₃	—	8	1	no	—
842	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
843	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
849	D₅₂	—	2	1	no	—
850	D₅₂	—	2	1	no	—
851	D₅₂	—	2	1	no	—
852	D₅₂	—	2	1	no	—
853	C₄×D₁₃	—	2	2	no	—
854	C₄×D₁₃	—	2	1	no	—
855	C₄×D₁₃	—	2	1	no	—
856	C₄×D₁₃	—	4	1	no	—
857	C₄×D₁₃	—	4	2	no	—
858	C₄×D₁₃	—	4	2	no	—
859	C₄×D₁₃	—	4	2	no	—
860	C₄×D₁₃	—	4	2	no	—
861	C₄×D₁₃	—	8	1	no	—
862	C₄×D₁₃	—	8	1	no	—
863	Dic₂₆	—	2	2	no	—
864	Dic₂₆	—	4	2	no	—
865	Dic₂₆	—	4	2	no	—
866	Dic₂₆	—	4	2	no	—
867	Dic₂₆	—	8	1	no	—
868	C₈×C₁₃	—	2	1	no	—
869	C₈×C₁₃	—	2	1	no	—
870	C₈×C₁₃	—	2	1	no	—
871	C₈×C₁₃	C₂×#41	1	2	yes	complemented
872	#1055	—	2	1	no	—
873	#1055	—	2	1	no	—
874	#1055	—	2	1	no	—
875	#1055	—	2	1	no	—
876	C₂²×#41	—	26	1	no	—
877	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic
878	C₂²×D₈	—	13	1	no	—
879	C₂²×D₈	C₂×D₁₃	1	1	yes	characteristic
880	#559	—	13	1	no	—
881	#554	—	13	1	no	—
882	#554	—	13	1	no	—
883	#553	—	13	1	no	—
884	#553	—	13	1	no	—
885	#553	—	26	1	no	—
886	#551	—	26	1	no	—
887	#551	—	26	1	no	—
888	#550	—	13	1	no	—
889	D₄×Q₈	—	13	1	no	—
890	#548	—	26	1	no	—
891	#547	—	13	1	no	—
892	#547	—	13	1	no	—
893	#547	—	13	1	no	—
894	#546	—	13	1	no	—
895	#546	—	26	1	no	—
896	#546	—	26	1	no	—
897	#546	—	26	1	no	—
898	#546	—	26	1	no	—
899	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
900	D₄²	—	13	1	no	—
901	D₄²	—	13	1	no	—
902	D₄²	—	13	1	no	—
903	D₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
904	#532	—	13	1	no	—
905	#532	—	13	1	no	—
906	#532	—	13	1	no	—
907	#532	—	13	1	no	—
908	#529	—	13	1	no	—
909	#529	—	13	1	no	—
910	#529	—	26	1	no	—
911	#525	—	26	1	no	—
912	#525	—	26	1	no	—
913	#525	—	26	1	no	—
914	#525	—	26	1	no	—
915	#525	—	26	1	no	—
916	C₄×#41	—	13	1	no	—
917	C₄×#41	—	13	1	no	—
918	C₂×C₄×D₄	—	13	1	no	—
919	C₂×C₄×D₄	—	13	1	no	—
920	C₂×C₄×D₄	—	13	1	no	—
921	C₂×C₄×D₄	—	13	1	no	—
922	C₂×C₄×D₄	—	13	1	no	—
923	C₂×C₄×D₄	—	26	1	no	—
924	#501	—	13	1	no	—
925	#501	—	13	1	no	—
926	#498	—	13	1	no	—
927	#496	—	13	1	no	—
928	#496	C₂×D₁₃	1	1	yes	characteristic, complemented
929	#493	—	13	1	no	—
930	#490	—	13	1	no	—
931	#490	—	13	1	no	—
932	#489	—	13	1	no	—
933	#489	—	13	1	no	—
934	#486	—	13	1	no	—
935	#486	—	13	1	no	—
936	#483	—	13	1	no	—
937	#483	—	13	1	no	—
938	#482	—	13	1	no	—
939	#482	—	13	1	no	—
940	#481	—	13	1	no	—
941	#481	—	13	1	no	—
942	#481	—	13	1	no	—
943	#481	—	13	1	no	—
944	#481	—	13	1	no	—
945	#481	—	13	1	no	—
946	#480	—	13	1	no	—
947	#480	—	13	1	no	—
948	#478	—	13	1	no	—
949	#478	—	13	1	no	—
950	#478	—	13	1	no	—
951	#478	—	13	1	no	—
952	#476	—	13	1	no	—
953	#476	—	13	1	no	—
954	#476	—	13	1	no	—
955	#476	—	13	1	no	—
956	#476	—	13	1	no	—
957	#476	—	13	1	no	—
958	#475	—	13	1	no	—
959	#474	—	13	1	no	—
960	#469	—	13	1	no	—
961	#469	—	13	1	no	—
962	#469	—	13	1	no	—
963	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
964	#466	—	13	1	no	—
965	#466	—	13	1	no	—
966	#466	—	13	1	no	—
967	#466	—	13	1	no	—
968	#465	—	13	1	no	—
969	#465	—	13	1	no	—
970	#465	—	13	1	no	—
971	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#463	—	13	1	no	—
973	#463	—	13	1	no	—
974	#463	—	13	1	no	—
975	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
976	#460	—	13	1	no	—
977	#459	—	13	1	no	—
978	#459	—	13	1	no	—
979	#459	—	13	1	no	—
980	#459	—	13	1	no	—
981	#459	—	13	1	no	—
982	#459	—	13	1	no	—
983	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
984	#450	—	13	1	no	—
985	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
986	#449	—	13	1	no	—
987	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
988	#447	—	13	1	no	—
989	#447	—	13	1	no	—
990	#447	—	13	1	no	—
991	#447	—	13	1	no	—
992	#447	—	13	1	no	—
993	#447	—	13	1	no	—
994	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#446	—	13	1	no	—
997	#446	—	13	1	no	—
998	#442	—	13	1	no	—
999	#442	—	13	1	no	—
1000	#442	—	13	1	no	—
1001	#442	—	13	1	no	—
1002	#442	—	13	1	no	—
1003	#442	—	13	1	no	—
1004	#442	—	13	1	no	—
1005	#442	—	13	1	no	—
1006	#442	—	13	1	no	—
1007	#442	—	13	1	no	—
1008	#442	—	13	1	no	—
1009	#442	—	13	1	no	—
1010	#442	—	13	1	no	—
1011	#442	—	13	1	no	—
1012	#442	—	13	1	no	—
1013	#442	—	13	1	no	—
1014	#442	—	13	1	no	—
1015	#442	—	13	1	no	—
1016	#442	—	13	1	no	—
1017	#442	C₂×D₁₃	1	1	yes	characteristic
1018	#440	—	13	1	no	—
1019	#440	—	13	1	no	—
1020	#440	—	13	1	no	—
1021	#440	—	13	1	no	—
1022	C₄×SD₁₆	—	13	1	no	—
1023	C₄×SD₁₆	—	13	1	no	—
1024	C₄×D₈	—	13	1	no	—
1025	C₄×D₈	—	13	1	no	—
1026	#435	—	13	1	no	—
1027	#435	—	13	1	no	—
1028	#435	—	13	1	no	—
1029	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1030	C₈×D₄	—	13	1	no	—
1031	C₈×D₄	—	13	1	no	—
1032	#432	—	13	1	no	—
1033	#432	—	13	1	no	—
1034	#432	—	13	1	no	—
1035	#428	—	13	1	no	—
1036	C₂×#106	—	13	1	no	—
1037	C₂×#106	—	13	1	no	—
1038	#418	—	13	1	no	—
1039	#417	—	13	1	no	—
1040	C₂×#102	—	13	1	no	—
1041	C₂×#102	—	13	1	no	—
1042	C₂×#102	—	13	1	no	—
1043	C₂×#102	—	13	1	no	—
1044	C₄×M₁₆	—	13	1	no	—
1045	C₂×#97	—	13	1	no	—
1046	C₂×#97	—	13	1	no	—
1047	C₂²×C₁₃	—	2	1	no	—
1048	C₂²×C₁₃	—	2	1	no	—
1049	C₂²×C₁₃	—	2	1	no	—
1050	C₂²×C₁₃	—	2	2	no	—
1051	C₂²×C₁₃	—	2	2	no	—
1052	C₂²×C₁₃	—	2	1	no	—
1053	C₂²×C₁₃	—	2	1	no	—
1054	C₂²×C₁₃	—	4	1	no	—
1055	C₂²×C₁₃	—	4	1	no	—
1056	C₂²×C₁₃	—	4	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	4	1	no	—
1059	C₂²×C₁₃	—	4	1	no	—
1060	C₂²×C₁₃	—	4	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	—	4	1	no	—
1064	C₂²×C₁₃	—	4	1	no	—
1065	C₂²×C₁₃	—	4	1	no	—
1066	C₂²×C₁₃	—	4	1	no	—
1067	C₂²×C₁₃	—	8	4	no	—
1068	C₂²×C₁₃	—	8	4	no	—
1069	C₂²×C₁₃	—	8	4	no	—
1070	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1071	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1072	C₂×D₁₃	—	2	1	no	—
1073	C₂×D₁₃	—	2	1	no	—
1074	C₂×D₁₃	—	4	1	no	—
1075	C₂×D₁₃	—	4	1	no	—
1076	C₂×D₁₃	—	4	1	no	—
1077	C₂×D₁₃	—	4	1	no	—
1078	C₂×D₁₃	—	4	1	no	—
1079	C₂×D₁₃	—	4	1	no	—
1080	C₂×D₁₃	—	8	4	no	—
1081	C₂×D₁₃	—	8	4	no	—
1082	C₂×D₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1083	C₄×C₁₃	—	2	1	no	—
1084	C₄×C₁₃	—	2	1	no	—
1085	C₄×C₁₃	—	2	1	no	—
1086	C₄×C₁₃	—	2	1	no	—
1087	C₄×C₁₃	—	4	1	no	—
1088	C₄×C₁₃	—	4	1	no	—
1089	C₄×C₁₃	—	4	1	no	—
1090	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1091	C₄×C₁₃	#585	1	1	yes	characteristic
1092	Dic₁₃	—	2	1	no	—
1093	Dic₁₃	—	2	1	no	—
1094	Dic₁₃	—	2	1	no	—
1095	Dic₁₃	—	2	1	no	—
1096	Dic₁₃	—	2	1	no	—
1097	Dic₁₃	—	2	1	no	—
1098	Dic₁₃	—	4	1	no	—
1099	Dic₁₃	—	4	1	no	—
1100	Dic₁₃	—	4	1	no	—
1101	Dic₁₃	—	4	1	no	—
1102	Dic₁₃	—	4	1	no	—
1103	Dic₁₃	—	4	1	no	—
1104	Dic₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1105	C₂×#41	—	13	1	no	—
1106	C₂×#41	—	26	1	no	—
1107	C₂×#41	—	26	1	no	—
1108	C₂×#41	—	26	1	no	—
1109	C₂×#41	—	26	1	no	—
1110	C₂×#41	—	26	1	no	—
1111	C₂×#41	—	26	1	no	—
1112	C₂×#41	—	26	1	no	—
1113	C₂×#41	—	26	1	no	—
1114	C₂×#41	—	52	8	no	—
1115	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1116	C₂²×Q₈	—	26	1	no	—
1117	C₂²×D₄	—	2	1	no	—
1118	C₂²×D₄	—	13	1	no	—
1119	C₂²×D₄	—	13	1	no	—
1120	C₂²×D₄	—	26	1	no	—
1121	C₂²×D₄	—	26	1	no	—
1122	C₂²×D₄	—	26	1	no	—
1123	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂³×C₄	—	26	1	no	—
1127	C₂³×C₄	—	26	1	no	—
1128	C₂³×C₄	—	26	1	no	—
1129	C₂³×C₄	—	26	1	no	—
1130	C₂³×C₄	—	26	1	no	—
1131	AGL(1,ℤ/8)	—	2	4	no	—
1132	C₂×SD₁₆	—	13	1	no	—
1133	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1136	C₂×D₈	—	2	4	no	—
1137	C₂×D₈	—	13	1	no	—
1138	C₂×D₈	—	13	1	no	—
1139	C₂×D₈	—	13	1	no	—
1140	C₂×D₈	—	13	1	no	—
1141	C₂×D₈	—	13	1	no	—
1142	C₂×D₈	—	13	1	no	—
1143	C₂×D₈	—	26	4	no	—
1144	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1147	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1150	C₂×M₁₆	—	13	1	no	—
1151	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1152	C₂²×C₈	—	13	1	no	—
1153	C₂²×C₈	—	13	1	no	—
1154	C₂²×C₈	—	13	1	no	—
1155	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1156	C₄⋊Q₈	—	13	1	no	—
1157	C₄⋊Q₈	—	13	1	no	—
1158	C₄⋊Q₈	—	13	1	no	—
1159	C₄⋊Q₈	—	13	1	no	—
1160	#127	—	13	1	no	—
1161	#127	—	13	1	no	—
1162	#127	—	13	1	no	—
1163	#127	C₂²×D₁₃	1	1	yes	characteristic
1164	#126	—	26	1	no	—
1165	#126	—	26	1	no	—
1166	#126	—	26	1	no	—
1167	#126	—	26	1	no	—
1168	#125	—	13	1	no	—
1169	#125	—	13	1	no	—
1170	#125	—	26	1	no	—
1171	#124	—	13	1	no	—
1172	#124	—	26	1	no	—
1173	#124	—	26	1	no	—
1174	#124	—	26	1	no	—
1175	#124	—	26	1	no	—
1176	#124	—	26	1	no	—
1177	#124	C₂²×D₁₃	1	1	yes	characteristic
1178	#123	—	2	1	no	—
1179	#123	—	26	1	no	—
1180	#123	—	26	1	no	—
1181	#123	—	26	1	no	—
1182	#123	—	26	1	no	—
1183	#123	—	26	1	no	—
1184	#123	—	26	1	no	—
1185	#123	—	26	1	no	—
1186	#123	—	26	1	no	—
1187	#123	—	26	1	no	—
1188	#123	—	26	1	no	—
1189	#123	—	26	1	no	—
1190	#123	—	26	1	no	—
1191	#123	—	26	1	no	—
1192	C₂²⋊Q₈	—	13	1	no	—
1193	C₂²⋊Q₈	—	26	1	no	—
1194	C₂²⋊Q₈	—	26	1	no	—
1195	C₂²⋊Q₈	—	26	1	no	—
1196	C₂²⋊Q₈	—	26	1	no	—
1197	C₂²⋊Q₈	—	26	1	no	—
1198	C₂²⋊Q₈	—	26	1	no	—
1199	C₂²⋊Q₈	—	26	1	no	—
1200	C₂²⋊Q₈	—	26	1	no	—
1201	C₂²⋊Q₈	—	26	1	no	—
1202	C₂²⋊Q₈	—	26	1	no	—
1203	C₂²⋊Q₈	—	26	1	no	—
1204	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1205	#121	—	2	1	no	—
1206	#121	—	2	1	no	—
1207	#121	—	13	1	no	—
1208	#121	—	13	1	no	—
1209	#121	—	13	1	no	—
1210	#121	—	13	1	no	—
1211	#121	—	13	1	no	—
1212	#121	—	13	1	no	—
1213	#121	—	13	1	no	—
1214	#121	—	26	1	no	—
1215	#121	—	26	1	no	—
1216	#121	—	26	1	no	—
1217	#121	—	26	1	no	—
1218	#121	—	26	1	no	—
1219	#121	—	26	1	no	—
1220	#121	—	26	1	no	—
1221	#121	—	26	1	no	—
1222	#121	—	26	1	no	—
1223	#121	—	26	1	no	—
1224	#121	—	26	1	no	—
1225	#121	—	26	1	no	—
1226	#121	—	26	1	no	—
1227	#121	C₂²×D₁₃	1	1	yes	characteristic
1228	#121	C₂²×D₁₃	1	1	yes	characteristic
1229	#121	C₂²×D₁₃	1	1	yes	characteristic
1230	#120	—	2	1	no	—
1231	#120	—	2	1	no	—
1232	#120	—	2	1	no	—
1233	#120	—	26	1	no	—
1234	#120	—	26	1	no	—
1235	#120	—	26	1	no	—
1236	#120	—	26	1	no	—
1237	#120	—	26	1	no	—
1238	#120	—	26	1	no	—
1239	#120	—	26	1	no	—
1240	C₄×Q₈	—	13	1	no	—
1241	C₄×Q₈	—	13	1	no	—
1242	C₄×Q₈	—	13	1	no	—
1243	C₄×Q₈	—	13	1	no	—
1244	C₄×D₄	—	13	1	no	—
1245	C₄×D₄	—	13	1	no	—
1246	C₄×D₄	—	13	1	no	—
1247	C₄×D₄	—	13	1	no	—
1248	C₄×D₄	—	13	1	no	—
1249	C₄×D₄	—	13	1	no	—
1250	C₄×D₄	—	13	1	no	—
1251	C₄×D₄	—	13	1	no	—
1252	C₄×D₄	—	13	1	no	—
1253	C₄×D₄	—	13	1	no	—
1254	C₄×D₄	—	13	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	13	1	no	—
1257	C₄×D₄	—	13	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	—	13	1	no	—
1260	C₄×D₄	—	13	1	no	—
1261	C₄×D₄	—	13	1	no	—
1262	C₄×D₄	—	13	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	26	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	—	26	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	—	26	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	—	26	1	no	—
1275	C₄×D₄	—	26	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	—	26	1	no	—
1281	C₄×D₄	—	26	1	no	—
1282	C₄×D₄	—	26	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	—	26	1	no	—
1287	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1288	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1289	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1290	#117	—	13	1	no	—
1291	#117	—	13	1	no	—
1292	#117	—	13	1	no	—
1293	#117	—	13	1	no	—
1294	#117	—	26	1	no	—
1295	#117	—	26	1	no	—
1296	#117	—	26	1	no	—
1297	C₂×C₄⋊C₄	—	13	1	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	13	1	no	—
1300	C₂×C₄⋊C₄	—	13	1	no	—
1301	C₂×C₄⋊C₄	—	13	1	no	—
1302	C₂×C₄⋊C₄	—	26	1	no	—
1303	C₂×C₂²⋊C₄	—	2	1	no	—
1304	C₂×C₂²⋊C₄	—	26	1	no	—
1305	C₂×C₂²⋊C₄	—	26	1	no	—
1306	C₂×C₂²⋊C₄	—	26	1	no	—
1307	C₂×C₂²⋊C₄	—	26	1	no	—
1308	C₂×C₂²⋊C₄	—	26	1	no	—
1309	C₂×C₂²⋊C₄	—	26	1	no	—
1310	C₂×C₄²	—	13	1	no	—
1311	C₂×C₄²	—	13	1	no	—
1312	C₂×C₄²	—	13	1	no	—
1313	C₂×C₄²	—	26	1	no	—
1314	#107	—	13	1	no	—
1315	#107	—	13	1	no	—
1316	#107	—	13	1	no	—
1317	#107	—	13	1	no	—
1318	#106	—	13	1	no	—
1319	#106	—	13	1	no	—
1320	#106	—	13	1	no	—
1321	#106	—	13	1	no	—
1322	#106	—	13	1	no	—
1323	#106	—	13	1	no	—
1324	#106	—	13	1	no	—
1325	#106	—	13	1	no	—
1326	#106	—	13	1	no	—
1327	#106	—	13	1	no	—
1328	#106	—	13	1	no	—
1329	#106	C₂²×D₁₃	1	1	yes	characteristic
1330	C₄⋊C₈	—	13	1	no	—
1331	C₄⋊C₈	—	13	1	no	—
1332	C₄⋊C₈	—	13	1	no	—
1333	C₄⋊C₈	—	13	1	no	—
1334	C₄⋊C₈	—	13	1	no	—
1335	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1336	#103	—	13	1	no	—
1337	#103	—	13	1	no	—
1338	#103	—	13	1	no	—
1339	#103	C₂²×D₁₃	1	1	yes	characteristic
1340	#102	—	13	1	no	—
1341	#102	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	C₂²×D₁₃	1	1	yes	characteristic
1364	#102	C₂²×D₁₃	1	1	yes	characteristic
1365	#102	C₂²×D₁₃	1	1	yes	characteristic
1366	#102	C₂²×D₁₃	1	1	yes	characteristic
1367	#102	C₂²×D₁₃	1	1	yes	characteristic
1368	C₂²⋊C₈	—	13	1	no	—
1369	C₂²⋊C₈	—	13	1	no	—
1370	C₂²⋊C₈	—	13	1	no	—
1371	C₂²⋊C₈	—	13	1	no	—
1372	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1373	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1374	#97	—	13	1	no	—
1375	#97	—	13	1	no	—
1376	#97	—	13	1	no	—
1377	#97	—	13	1	no	—
1378	#97	—	13	1	no	—
1379	#97	—	13	1	no	—
1380	#97	—	13	1	no	—
1381	#97	C₂²×D₁₃	1	1	yes	characteristic
1382	C₄×C₈	—	13	1	no	—
1383	C₄×C₈	—	13	1	no	—
1384	C₂×C₁₃	—	2	2	no	—
1385	C₂×C₁₃	—	4	2	no	—
1386	C₂×C₁₃	—	4	2	no	—
1387	C₂×C₁₃	—	4	1	no	—
1388	C₂×C₁₃	—	8	1	no	—
1389	C₂×C₁₃	—	8	1	no	—
1390	C₂×C₁₃	—	8	1	no	—
1391	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1392	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1393	C₂×C₁₃	#3585	1	1	yes	characteristic
1394	D₁₃	—	2	2	no	—
1395	D₁₃	—	8	1	no	—
1396	D₁₃	—	8	1	no	—
1397	C₂⁴	—	2	1	no	—
1398	C₂⁴	—	2	1	no	—
1399	C₂⁴	—	2	1	no	—
1400	C₂⁴	—	26	1	no	—
1401	C₂⁴	—	26	1	no	—
1402	#41	—	2	2	no	—
1403	#41	—	4	1	no	—
1404	#41	—	26	4	no	—
1405	#41	—	52	4	no	—
1406	#41	—	52	4	no	—
1407	#41	—	52	4	no	—
1408	#41	—	52	4	no	—
1409	#41	—	52	4	no	—
1410	#41	—	52	4	no	—
1411	#41	—	52	4	no	—
1412	#41	—	104	2	no	—
1413	C₂×Q₈	—	13	1	no	—
1414	C₂×Q₈	—	26	1	no	—
1415	C₂×Q₈	—	26	1	no	—
1416	C₂×Q₈	—	26	1	no	—
1417	C₂×Q₈	—	26	1	no	—
1418	C₂×Q₈	—	52	4	no	—
1419	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1420	C₂×D₄	—	2	2	no	—
1421	C₂×D₄	—	2	2	no	—
1422	C₂×D₄	—	2	2	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	4	1	no	—
1433	C₂×D₄	—	4	1	no	—
1434	C₂×D₄	—	4	1	no	—
1435	C₂×D₄	—	4	4	no	—
1436	C₂×D₄	—	13	1	no	—
1437	C₂×D₄	—	13	1	no	—
1438	C₂×D₄	—	13	1	no	—
1439	C₂×D₄	—	13	1	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	26	1	no	—
1446	C₂×D₄	—	26	1	no	—
1447	C₂×D₄	—	26	1	no	—
1448	C₂×D₄	—	26	2	no	—
1449	C₂×D₄	—	26	2	no	—
1450	C₂×D₄	—	26	1	no	—
1451	C₂×D₄	—	26	1	no	—
1452	C₂×D₄	—	26	1	no	—
1453	C₂×D₄	—	26	1	no	—
1454	C₂×D₄	—	26	1	no	—
1455	C₂×D₄	—	26	1	no	—
1456	C₂×D₄	—	26	1	no	—
1457	C₂×D₄	—	52	1	no	—
1458	C₂×D₄	—	52	1	no	—
1459	C₂×D₄	—	52	4	no	—
1460	C₂×D₄	—	52	4	no	—
1461	C₂×D₄	—	52	4	no	—
1462	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1463	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1464	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1465	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1466	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1467	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	13	1	no	—
1472	C₂²×C₄	—	13	1	no	—
1473	C₂²×C₄	—	13	1	no	—
1474	C₂²×C₄	—	13	1	no	—
1475	C₂²×C₄	—	13	1	no	—
1476	C₂²×C₄	—	13	1	no	—
1477	C₂²×C₄	—	13	1	no	—
1478	C₂²×C₄	—	26	1	no	—
1479	C₂²×C₄	—	26	1	no	—
1480	C₂²×C₄	—	26	1	no	—
1481	C₂²×C₄	—	26	1	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	1	no	—
1484	C₂²×C₄	—	26	1	no	—
1485	C₂²×C₄	—	26	1	no	—
1486	C₂²×C₄	—	26	1	no	—
1487	C₂²×C₄	—	26	1	no	—
1488	C₂²×C₄	—	26	1	no	—
1489	C₂²×C₄	—	26	1	no	—
1490	C₂²×C₄	—	26	1	no	—
1491	C₂²×C₄	—	26	1	no	—
1492	C₂²×C₄	—	26	1	no	—
1493	C₂²×C₄	—	26	1	no	—
1494	C₂²×C₄	—	26	1	no	—
1495	C₂²×C₄	—	26	1	no	—
1496	C₂²×C₄	—	26	1	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	52	4	no	—
1500	C₂²×C₄	—	52	4	no	—
1501	C₂²×C₄	—	52	4	no	—
1502	C₂²×C₄	—	104	2	no	—
1503	C₂²×C₄	—	104	2	no	—
1504	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1505	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1506	SD₁₆	—	2	2	no	—
1507	SD₁₆	—	2	2	no	—
1508	SD₁₆	—	4	1	no	—
1509	SD₁₆	—	52	1	no	—
1510	D₈	—	2	2	no	—
1511	D₈	—	2	2	no	—
1512	D₈	—	2	2	no	—
1513	D₈	—	2	2	no	—
1514	D₈	—	4	1	no	—
1515	D₈	—	26	2	no	—
1516	D₈	—	26	2	no	—
1517	D₈	—	26	2	no	—
1518	D₈	—	52	1	no	—
1519	D₈	—	52	1	no	—
1520	D₈	—	52	1	no	—
1521	D₈	#6129	1	4	yes	complemented
1522	M₁₆	—	2	2	no	—
1523	M₁₆	—	52	1	no	—
1524	C₂×C₈	—	2	2	no	—
1525	C₂×C₈	—	13	1	no	—
1526	C₂×C₈	—	13	1	no	—
1527	C₂×C₈	—	13	1	no	—
1528	C₂×C₈	—	13	1	no	—
1529	C₂×C₈	—	26	2	no	—
1530	C₂×C₈	—	52	1	no	—
1531	C₂×C₈	—	52	1	no	—
1532	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1533	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1534	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1535	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	13	1	no	—
1538	C₄⋊C₄	—	13	1	no	—
1539	C₄⋊C₄	—	13	1	no	—
1540	C₄⋊C₄	—	13	1	no	—
1541	C₄⋊C₄	—	13	1	no	—
1542	C₄⋊C₄	—	13	1	no	—
1543	C₄⋊C₄	—	13	1	no	—
1544	C₄⋊C₄	—	13	1	no	—
1545	C₄⋊C₄	—	13	1	no	—
1546	C₄⋊C₄	—	13	1	no	—
1547	C₄⋊C₄	—	13	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	—	26	1	no	—
1556	C₄⋊C₄	—	26	1	no	—
1557	C₄⋊C₄	—	26	1	no	—
1558	C₄⋊C₄	—	26	1	no	—
1559	C₄⋊C₄	—	26	1	no	—
1560	C₄⋊C₄	—	26	1	no	—
1561	C₄⋊C₄	—	26	1	no	—
1562	C₄⋊C₄	—	26	1	no	—
1563	C₄⋊C₄	—	26	1	no	—
1564	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1565	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1566	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	13	1	no	—
1576	C₂²⋊C₄	—	13	1	no	—
1577	C₂²⋊C₄	—	13	1	no	—
1578	C₂²⋊C₄	—	13	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	—	26	1	no	—
1598	C₂²⋊C₄	—	26	1	no	—
1599	C₂²⋊C₄	—	26	1	no	—
1600	C₂²⋊C₄	—	26	1	no	—
1601	C₂²⋊C₄	—	26	1	no	—
1602	C₂²⋊C₄	—	26	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1607	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1608	C₄²	—	13	1	no	—
1609	C₄²	—	13	1	no	—
1610	C₄²	—	13	1	no	—
1611	C₄²	—	13	1	no	—
1612	C₄²	—	13	1	no	—
1613	C₄²	—	13	1	no	—
1614	C₄²	—	13	1	no	—
1615	C₄²	—	13	1	no	—
1616	C₄²	—	13	1	no	—
1617	C₄²	—	26	1	no	—
1618	C₄²	—	26	1	no	—
1619	C₄²	—	26	1	no	—
1620	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1621	C₁₃	#61451	1	1	yes	characteristic, complemented, Sylow
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	2	1	no	—
1626	C₂³	—	2	1	no	—
1627	C₂³	—	4	2	no	—
1628	C₂³	—	4	2	no	—
1629	C₂³	—	4	2	no	—
1630	C₂³	—	4	2	no	—
1631	C₂³	—	4	2	no	—
1632	C₂³	—	4	2	no	—
1633	C₂³	—	8	1	no	—
1634	C₂³	—	8	1	no	—
1635	C₂³	—	8	1	no	—
1636	C₂³	—	13	1	no	—
1637	C₂³	—	26	1	no	—
1638	C₂³	—	26	1	no	—
1639	C₂³	—	52	2	no	—
1640	C₂³	—	52	2	no	—
1641	C₂³	—	52	2	no	—
1642	C₂³	—	52	2	no	—
1643	C₂³	—	104	1	no	—
1644	C₂³	—	104	1	no	—
1645	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1646	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1647	Q₈	—	2	1	no	—
1648	Q₈	—	2	1	no	—
1649	Q₈	—	26	2	no	—
1650	Q₈	—	52	2	no	—
1651	Q₈	—	52	2	no	—
1652	Q₈	—	52	2	no	—
1653	Q₈	—	104	1	no	—
1654	D₄	—	2	2	no	—
1655	D₄	—	2	1	no	—
1656	D₄	—	2	1	no	—
1657	D₄	—	2	1	no	—
1658	D₄	—	2	1	no	—
1659	D₄	—	2	1	no	—
1660	D₄	—	2	1	no	—
1661	D₄	—	2	1	no	—
1662	D₄	—	2	1	no	—
1663	D₄	—	4	2	no	—
1664	D₄	—	4	2	no	—
1665	D₄	—	4	2	no	—
1666	D₄	—	4	2	no	—
1667	D₄	—	4	2	no	—
1668	D₄	—	4	2	no	—
1669	D₄	—	4	2	no	—
1670	D₄	—	8	1	no	—
1671	D₄	—	8	1	no	—
1672	D₄	—	13	4	no	—
1673	D₄	—	26	2	no	—
1674	D₄	—	26	1	no	—
1675	D₄	—	26	1	no	—
1676	D₄	—	26	1	no	—
1677	D₄	—	26	1	no	—
1678	D₄	—	52	2	no	—
1679	D₄	—	52	2	no	—
1680	D₄	—	52	2	no	—
1681	D₄	—	52	2	no	—
1682	D₄	—	52	2	no	—
1683	D₄	—	52	2	no	—
1684	D₄	—	52	2	no	—
1685	D₄	—	52	2	no	—
1686	D₄	—	52	2	no	—
1687	D₄	—	52	2	no	—
1688	D₄	—	52	2	no	—
1689	D₄	—	104	1	no	—
1690	D₄	—	104	1	no	—
1691	D₄	—	104	1	no	—
1692	D₄	—	104	1	no	—
1693	D₄	C₂×#6129	1	2	yes	—
1694	D₄	C₂×#6129	1	2	yes	complemented
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	4	2	no	—
1703	C₂×C₄	—	4	2	no	—
1704	C₂×C₄	—	8	1	no	—
1705	C₂×C₄	—	13	1	no	—
1706	C₂×C₄	—	13	1	no	—
1707	C₂×C₄	—	13	1	no	—
1708	C₂×C₄	—	13	1	no	—
1709	C₂×C₄	—	13	1	no	—
1710	C₂×C₄	—	13	1	no	—
1711	C₂×C₄	—	13	1	no	—
1712	C₂×C₄	—	26	2	no	—
1713	C₂×C₄	—	26	2	no	—
1714	C₂×C₄	—	26	2	no	—
1715	C₂×C₄	—	26	1	no	—
1716	C₂×C₄	—	26	1	no	—
1717	C₂×C₄	—	26	1	no	—
1718	C₂×C₄	—	26	1	no	—
1719	C₂×C₄	—	26	1	no	—
1720	C₂×C₄	—	26	1	no	—
1721	C₂×C₄	—	26	1	no	—
1722	C₂×C₄	—	26	1	no	—
1723	C₂×C₄	—	52	1	no	—
1724	C₂×C₄	—	52	2	no	—
1725	C₂×C₄	—	52	2	no	—
1726	C₂×C₄	—	52	2	no	—
1727	C₂×C₄	—	52	2	no	—
1728	C₂×C₄	—	52	2	no	—
1729	C₂×C₄	—	52	2	no	—
1730	C₂×C₄	—	52	2	no	—
1731	C₂×C₄	—	52	1	no	—
1732	C₂×C₄	—	52	1	no	—
1733	C₂×C₄	—	52	2	no	—
1734	C₂×C₄	—	52	2	no	—
1735	C₂×C₄	—	52	2	no	—
1736	C₂×C₄	—	52	2	no	—
1737	C₂×C₄	—	52	2	no	—
1738	C₂×C₄	—	52	2	no	—
1739	C₂×C₄	—	52	2	no	—
1740	C₂×C₄	—	52	2	no	—
1741	C₂×C₄	—	52	2	no	—
1742	C₂×C₄	—	104	1	no	—
1743	C₂×C₄	—	104	1	no	—
1744	C₂×C₄	—	104	1	no	—
1745	C₂×C₄	—	104	1	no	—
1746	C₂×C₄	—	104	1	no	—
1747	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1748	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1749	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1750	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1751	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1752	C₈	—	2	1	no	—
1753	C₈	—	2	1	no	—
1754	C₈	—	2	1	no	—
1755	C₈	—	26	1	no	—
1756	C₈	—	26	1	no	—
1757	C₈	—	26	1	no	—
1758	C₈	—	26	1	no	—
1759	C₈	C₂×#6129	1	2	yes	complemented
1760	C₂²	—	2	1	no	—
1761	C₂²	—	2	1	no	—
1762	C₂²	—	2	1	no	—
1763	C₂²	—	2	1	no	—
1764	C₂²	—	2	2	no	—
1765	C₂²	—	2	2	no	—
1766	C₂²	—	2	1	no	—
1767	C₂²	—	4	1	no	—
1768	C₂²	—	4	1	no	—
1769	C₂²	—	4	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	8	4	no	—
1781	C₂²	—	8	4	no	—
1782	C₂²	—	8	4	no	—
1783	C₂²	—	13	2	no	—
1784	C₂²	—	26	1	no	—
1785	C₂²	—	26	1	no	—
1786	C₂²	—	52	1	no	—
1787	C₂²	—	52	1	no	—
1788	C₂²	—	52	1	no	—
1789	C₂²	—	52	1	no	—
1790	C₂²	—	52	1	no	—
1791	C₂²	—	52	1	no	—
1792	C₂²	—	104	4	no	—
1793	C₂²	—	104	4	no	—
1794	C₂²	D₁₃×AGL(1,ℤ/8)	1	2	yes	—
1795	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1796	C₄	—	2	1	no	—
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	2	1	no	—
1800	C₄	—	4	1	no	—
1801	C₄	—	4	1	no	—
1802	C₄	—	4	1	no	—
1803	C₄	—	13	2	no	—
1804	C₄	—	26	1	no	—
1805	C₄	—	26	1	no	—
1806	C₄	—	26	1	no	—
1807	C₄	—	26	1	no	—
1808	C₄	—	26	1	no	—
1809	C₄	—	26	1	no	—
1810	C₄	—	52	1	no	—
1811	C₄	—	52	1	no	—
1812	C₄	—	52	1	no	—
1813	C₄	—	52	1	no	—
1814	C₄	—	52	1	no	—
1815	C₄	—	52	1	no	—
1816	C₄	C₂²×#6129	1	1	yes	characteristic
1817	C₄	#11719650	1	1	yes	characteristic
1818	C₂	—	2	2	no	—
1819	C₂	—	4	1	no	—
1820	C₂	—	4	2	no	—
1821	C₂	—	4	2	no	—
1822	C₂	—	8	1	no	—
1823	C₂	—	8	1	no	—
1824	C₂	—	8	1	no	—
1825	C₂	—	26	2	no	—
1826	C₂	—	104	1	no	—
1827	C₂	—	104	1	no	—
1828	C₂	D₄×#6129	1	1	yes	characteristic
1829	C₂	C₂×D₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1830	C₂	#13129611	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3264	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3264	D₁₃
hypocenter	C₁₃	#61451
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3264

Complements

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

N	H ≅ G/N	type
1. #13128441	C₂	semidirect
2. D₄×#6129	C₂	semidirect
3. #13127875	C₂	semidirect
4. #13127736	C₂	semidirect
5. #13127623	C₂	semidirect
6. #13127538	C₂	semidirect
7. #13127308	C₂	semidirect
8. #13127301	C₂	semidirect
9. #13127188	C₂	semidirect
10. #13126977	C₂	semidirect
11. #13126970	C₂	semidirect
12. #13126797	C₂	semidirect
13. #13126790	C₂	semidirect
14. #13126653	C₂	semidirect
15. #13126642	C₂	semidirect
16. D₈×C₂²⋊D₁₃	C₂	semidirect
17. #13126310	C₂	semidirect
18. #13125569	C₂	semidirect
19. #13125531	C₂	semidirect
20. #13125527	C₂	semidirect
21. #13124980	C₂	semidirect
22. #13124975	C₂	semidirect
23. #13124973	C₂	semidirect
24. #13124926	C₂	semidirect
25. #13124922	C₂	semidirect
26. #13124922	C₂	semidirect
27. #13123846	C₂	semidirect
28. AGL(1,ℤ/8)×Dic₁₃	C₂	semidirect
29. C₂×#11718813	C₂	semidirect
30. D₁₃×#442	C₂	semidirect
31. C₁₃×#3264	C₂	semidirect
35. C₁₃×#546	C₂²	semidirect
36. D₄²×C₁₃	C₂²	semidirect
37. #11719534	C₂²	semidirect
38. #41×Dic₁₃	C₂²	semidirect
41. D₄×C₂²⋊D₁₃	C₂²	semidirect
42. D₄×C₂²⋊D₁₃	C₂²	semidirect
43. C₂×D₄×Dic₁₃	C₂²	semidirect
44. C₂×D₄×Dic₁₃	C₂²	semidirect
45. C₂×D₄×Dic₁₃	C₂²	semidirect
47. #11719423	C₂²	semidirect
48. #11719421	C₂²	semidirect
49. #11719386	C₂²	semidirect
50. #11719385	C₂²	semidirect
53. #11719340	C₂²	semidirect
54. #11719329	C₂²	semidirect
55. #11719319	C₂²	semidirect
57. #11719316	C₂²	semidirect
62. #11719301	C₂²	semidirect
63. #11719301	C₂²	semidirect
64. #11719301	C₂²	semidirect
71. #11719270	C₂²	semidirect
72. #11719260	C₂²	semidirect
73. C₄×D₄×D₁₃	C₂²	semidirect
74. C₄×D₄×D₁₃	C₂²	semidirect
75. #11719244	C₂²	semidirect
76. D₄×Dic₂₆	C₂²	semidirect
80. C₁₃×#496	C₂²	semidirect
81. C₁₃×#469	C₂²	semidirect
82. C₁₃×#465	C₂²	semidirect
83. C₁₃×#463	C₂²	semidirect
84. C₁₃×#459	C₂²	semidirect
85. C₁₃×#450	C₂²	semidirect
86. C₁₃×#449	C₂²	semidirect
87. C₁₃×#447	C₂²	semidirect
88. C₁₃×#447	C₂²	semidirect
90. C₁₃×#435	C₂²	semidirect
91. #11718899	C₂²	semidirect
92. #11718893	C₂²	semidirect
94. #11718878	C₂²	semidirect
95. #11718878	C₂²	semidirect
96. #11718876	C₂²	semidirect
97. C₂×#88072	C₂²	semidirect
98. C₂×#88072	C₂²	semidirect
99. #11718837	C₂²	semidirect
100. #11718832	C₂²	semidirect
101. #11718832	C₂²	semidirect
102. #11718830	C₂²	semidirect
103. #11718826	C₂²	semidirect
104. #11718826	C₂²	semidirect
105. #11718825	C₂²	semidirect
106. #11718825	C₂²	semidirect
107. #11718825	C₂²	semidirect
108. #11718824	C₂²	semidirect
109. SD₁₆×Dic₁₃	C₂²	semidirect
110. SD₁₆×Dic₁₃	C₂²	semidirect
111. #11718818	C₂²	semidirect
112. #11718818	C₂²	semidirect
114. #11718817	C₂²	semidirect
115. #11718817	C₂²	semidirect
118. #11718813	C₂²	semidirect
119. #11718813	C₂²	semidirect
120. #11718813	C₂²	semidirect
121. #11718813	C₂²	semidirect
122. #11718813	C₂²	semidirect
123. #11718813	C₂²	semidirect
124. #11718813	C₂²	semidirect
125. #11718813	C₂²	semidirect
126. #11718812	C₂²	semidirect
128. #11718811	C₂²	semidirect
129. #11718811	C₂²	semidirect
130. #11718811	C₂²	semidirect
131. #11718811	C₂²	semidirect
133. D₈×Dic₁₃	C₂²	semidirect
134. #11718796	C₂²	semidirect
135. #11718788	C₂²	semidirect
136. #11718782	C₂²	semidirect
137. M₁₆×Dic₁₃	C₂²	semidirect
138. #11718776	C₂²	semidirect
139. C₈×C₂²⋊D₁₃	C₂²	semidirect
140. C₂×#88057	C₂²	semidirect
141. C₂×#88055	C₂²	semidirect
142. #11718733	C₂²	semidirect
143. #11718732	C₂²	semidirect
144. #11718718	C₂²	semidirect
145. #11718716	C₂²	semidirect
146. #11718709	C₂²	semidirect
147. #11718704	C₂²	semidirect
148. #11718700	C₂²	semidirect
149. #11718700	C₂²	semidirect
150. #11718699	C₂²	semidirect
151. #11718696	C₂²	semidirect
152. #11718695	C₂²	semidirect
153. #11718695	C₂²	semidirect
154. #11718675	C₂²	semidirect
155. #11718675	C₂²	semidirect
156. #11718672	C₂²	semidirect
157. #11718670	C₂²	semidirect
158. #11718669	C₂²	semidirect
159. #11718530	C₂²	semidirect
160. D₁₃×#106	C₂²	semidirect
161. #11718517	C₂²	semidirect
162. #11718516	C₂²	semidirect
163. #11718508	C₂²	semidirect
164. #11718503	C₂²	semidirect
165. #11718496	C₂²	semidirect
166. #11718489	C₂²	semidirect
167. #11718478	C₂²	semidirect
168. #11718466	C₂²	semidirect
169. #11718456	C₂²	semidirect
170. #11718452	C₂²	semidirect
171. #11718446	C₂²	semidirect
172. #11718446	C₂²	semidirect
173. #11718446	C₂²	semidirect
174. #11718446	C₂²	semidirect
175. #11718446	C₂²	semidirect
176. #11718438	C₂²	semidirect
177. #11718438	C₂²	semidirect
178. #11718435	C₂²	semidirect
179. D₁₃×#102	C₂²	semidirect
180. D₁₃×#102	C₂²	semidirect
181. #11718427	C₂²	semidirect
182. #11718427	C₂²	semidirect
183. #11718425	C₂²	semidirect
184. #11718422	C₂²	semidirect
185. #11718422	C₂²	semidirect
186. #11718422	C₂²	semidirect
187. #11718422	C₂²	semidirect
188. #11718421	C₂²	semidirect
189. #11718421	C₂²	semidirect
190. #11718420	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718397	C₂²	semidirect
193. #11718396	C₂²	semidirect
194. #11718396	C₂²	semidirect
195. #11718389	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. #11718380	C₂²	semidirect
198. #11718380	C₂²	semidirect
199. #11718372	C₂²	semidirect
200. D₁₃×#97	C₂²	semidirect
201. #11718363	C₂²	semidirect
202. #11718362	C₂²	semidirect
600. C₁₃×D₈	#41	semidirect
724. #3264	D₁₃	semidirect
784. D₄×C₁₃	C₂×#41	semidirect
816. C₂²⋊D₁₃	AGL(1,ℤ/8)	semidirect
871. C₈×C₁₃	C₂×#41	semidirect
899. #546	C₂×D₁₃	semidirect
903. D₄²	C₂×D₁₃	semidirect
928. #496	C₂×D₁₃	semidirect
963. #469	C₂×D₁₃	semidirect
971. #465	C₂×D₁₃	semidirect
975. #463	C₂×D₁₃	semidirect
983. #459	C₂×D₁₃	semidirect
985. #450	C₂×D₁₃	semidirect
987. #449	C₂×D₁₃	semidirect
994. #447	C₂×D₁₃	semidirect
995. #447	C₂×D₁₃	semidirect
1029. #435	C₂×D₁₃	semidirect
1521. D₈	#6129	semidirect
1621. C₁₃	#61451	semidirect
1694. D₄	C₂×#6129	semidirect
1759. C₈	C₂×#6129	semidirect

Maximal subgroups

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

subgroup	index
#13128441	2
D₄×#6129	2
#13127875	2
#13127736	2
#13127623	2
#13127538	2
#13127308	2
#13127301	2
#13127188	2
#13126977	2
#13126970	2
#13126797	2
#13126790	2
#13126653	2
#13126642	2
D₈×C₂²⋊D₁₃	2
#13126310	2
#13125569	2
#13125531	2
#13125527	2
#13124980	2
#13124975	2
#13124973	2
#13124926	2
#13124922	2
#13123846	2
AGL(1,ℤ/8)×Dic₁₃	2
C₂×#11718813	2
D₁₃×#442	2
C₁₃×#3264	2
#61451	13