Subgroups — #16749569

Order 3328.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129200	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128596	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127136	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127062	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127044	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127039	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126746	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126691	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126686	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126642	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126559	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126520	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126517	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126506	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126450	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126442	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126430	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125807	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125768	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125737	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125734	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125689	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125684	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124882	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124834	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124144	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124139	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124103	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124099	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123901	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3273	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic, complemented
33	C₂×#88251	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
38	#11719539	C₂²	1	1	yes	characteristic, complemented
39	#11719538	C₂²	1	1	yes	characteristic, complemented
40	#11719529	C₂²	1	1	yes	characteristic
41	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
42	#11719510	C₂²	1	1	yes	characteristic, complemented
43	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
44	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
49	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
50	#11719385	C₂²	1	1	yes	characteristic, complemented
51	#11719381	C₂²	1	1	yes	characteristic, complemented
52	#11719381	C₂²	1	1	yes	characteristic, complemented
53	#11719373	C₂²	1	1	yes	characteristic, complemented
54	#11719371	—	2	1	no	—
55	#11719367	—	2	1	no	—
56	#11719360	—	2	1	no	—
57	#11719358	—	2	1	no	—
58	#11719346	C₂²	1	1	yes	characteristic, complemented
59	#11719336	C₂²	1	1	yes	characteristic, complemented
60	#11719334	C₂²	1	1	yes	characteristic, complemented
61	#11719334	C₂²	1	1	yes	characteristic, complemented
62	#11719318	—	2	1	no	—
63	#11719316	C₂²	1	1	yes	characteristic, complemented
64	#11719315	—	2	1	no	—
65	#11719314	C₂²	1	1	yes	characteristic
66	#11719313	C₂²	1	1	yes	characteristic, complemented
67	#11719312	C₂²	1	1	yes	characteristic, complemented
68	D₁₃×#121	—	2	1	no	—
69	#11719304	—	2	1	no	—
70	#11719300	—	2	1	no	—
71	#11719297	—	2	1	no	—
72	#11719295	—	2	1	no	—
73	#11719294	—	2	1	no	—
74	#11719270	C₂²	1	1	yes	characteristic, complemented
75	#11719263	C₂²	1	1	yes	characteristic, complemented
76	#11719259	C₂²	1	1	yes	characteristic, complemented
77	#11719255	C₂²	1	1	yes	characteristic, complemented
78	#11719253	C₂²	1	1	yes	characteristic
79	#11719253	C₂²	1	1	yes	characteristic, complemented
80	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
81	#11719199	—	2	1	no	—
82	#11719195	—	2	1	no	—
83	#11719195	—	2	1	no	—
84	C₂×#88138	—	2	1	no	—
85	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718899	C₂²	1	1	yes	characteristic, complemented
98	#11718894	C₂²	1	1	yes	characteristic, complemented
99	#11718879	C₂²	1	1	yes	characteristic, complemented
100	#11718878	C₂²	1	1	yes	characteristic, complemented
101	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
102	#11718849	C₂²	1	1	yes	characteristic, complemented
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718843	C₂²	1	1	yes	characteristic, complemented
105	#11718836	C₂²	1	1	yes	characteristic, complemented
106	#11718835	C₂²	1	1	yes	characteristic, complemented
107	#11718834	C₂²	1	1	yes	characteristic, complemented
108	#11718834	C₂²	1	1	yes	characteristic, complemented
109	#11718833	C₂²	1	1	yes	characteristic, complemented
110	#11718833	C₂²	1	1	yes	characteristic, complemented
111	#11718833	C₂²	1	1	yes	characteristic, complemented
112	#11718833	C₂²	1	1	yes	characteristic, complemented
113	#11718833	C₂²	1	1	yes	characteristic, complemented
114	#11718830	C₂²	1	1	yes	characteristic, complemented
115	#11718830	C₂²	1	1	yes	characteristic, complemented
116	#11718830	C₂²	1	1	yes	characteristic, complemented
117	#11718824	C₂²	1	1	yes	characteristic, complemented
118	#11718823	C₂²	1	1	yes	characteristic, complemented
119	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
120	#11718820	C₂²	1	1	yes	characteristic, complemented
121	#11718819	C₂²	1	1	yes	characteristic, complemented
122	#11718819	C₂²	1	1	yes	characteristic, complemented
123	#11718819	C₂²	1	1	yes	characteristic, complemented
124	#11718818	C₂²	1	1	yes	characteristic, complemented
125	#11718817	C₂²	1	1	yes	characteristic
126	#11718817	C₂²	1	1	yes	characteristic, complemented
127	#11718817	C₂²	1	1	yes	characteristic, complemented
128	#11718817	C₂²	1	1	yes	characteristic, complemented
129	#11718817	C₂²	1	1	yes	characteristic, complemented
130	#11718812	C₂²	1	1	yes	characteristic, complemented
131	#11718811	C₂²	1	1	yes	characteristic, complemented
132	#11718811	C₂²	1	1	yes	characteristic, complemented
133	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
134	#11718796	C₂²	1	1	yes	characteristic, complemented
135	#11718795	C₂²	1	1	yes	characteristic, complemented
136	#11718794	C₂²	1	1	yes	characteristic, complemented
137	#11718792	C₂²	1	1	yes	characteristic, complemented
138	#11718790	C₂²	1	1	yes	characteristic, complemented
139	#11718790	C₂²	1	1	yes	characteristic, complemented
140	#11718789	C₂²	1	1	yes	characteristic, complemented
141	#11718789	C₂²	1	1	yes	characteristic, complemented
142	#11718720	C₂²	1	1	yes	characteristic, complemented
143	#11718718	C₂²	1	1	yes	characteristic, complemented
144	#11718718	C₂²	1	1	yes	characteristic, complemented
145	#11718717	C₂²	1	1	yes	characteristic, complemented
146	#11718712	C₂²	1	1	yes	characteristic, complemented
147	#11718709	C₂²	1	1	yes	characteristic, complemented
148	#11718707	C₂²	1	1	yes	characteristic, complemented
149	#11718705	C₂²	1	1	yes	characteristic, complemented
150	#11718699	C₂²	1	1	yes	characteristic, complemented
151	#11718699	C₂²	1	1	yes	characteristic, complemented
152	#11718698	C₂²	1	1	yes	characteristic, complemented
153	#11718696	C₂²	1	1	yes	characteristic, complemented
154	#11718677	C₂²	1	1	yes	characteristic, complemented
155	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
156	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
157	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
158	#11718670	C₂²	1	1	yes	characteristic, complemented
159	#11718551	C₂²	1	1	yes	characteristic, complemented
160	#11718546	C₂²	1	1	yes	characteristic, complemented
161	#11718545	C₂²	1	1	yes	characteristic, complemented
162	#11718543	C₂²	1	1	yes	characteristic, complemented
163	#11718508	C₂²	1	1	yes	characteristic, complemented
164	#11718505	C₂²	1	1	yes	characteristic, complemented
165	#11718499	C₂²	1	1	yes	characteristic, complemented
166	#11718494	C₂²	1	1	yes	characteristic, complemented
167	#11718476	C₂²	1	1	yes	characteristic, complemented
168	#11718473	C₂²	1	1	yes	characteristic, complemented
169	#11718472	C₂²	1	1	yes	characteristic, complemented
170	#11718471	C₂²	1	1	yes	characteristic, complemented
171	#11718470	C₂²	1	1	yes	characteristic, complemented
172	#11718464	C₂²	1	1	yes	characteristic, complemented
173	#11718453	C₂²	1	1	yes	characteristic, complemented
174	#11718449	C₂²	1	1	yes	characteristic, complemented
175	#11718447	C₂²	1	1	yes	characteristic, complemented
176	#11718442	C₂²	1	1	yes	characteristic, complemented
177	#11718441	C₂²	1	1	yes	characteristic, complemented
178	#11718439	C₂²	1	1	yes	characteristic, complemented
179	#11718438	C₂²	1	1	yes	characteristic, complemented
180	#11718436	C₂²	1	1	yes	characteristic, complemented
181	#11718435	C₂²	1	1	yes	characteristic, complemented
182	#11718435	C₂²	1	1	yes	characteristic, complemented
183	#11718434	C₂²	1	1	yes	characteristic, complemented
184	#11718434	C₂²	1	1	yes	characteristic, complemented
185	#11718433	C₂²	1	1	yes	characteristic, complemented
186	#11718431	C₂²	1	1	yes	characteristic, complemented
187	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
188	#11718421	C₂²	1	1	yes	characteristic, complemented
189	#11718420	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718397	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718388	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	#11718386	C₂²	1	1	yes	characteristic, complemented
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
202	#11718346	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	#88256	—	4	2	no	—
212	#88256	—	4	2	no	—
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×#6131	C₂³	1	1	yes	characteristic
216	#88251	—	4	2	no	—
217	#88251	—	4	2	no	—
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	—	2	1	no	—
220	C₂×#6129	C₂³	1	1	yes	characteristic
221	C₂×#6129	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	—	2	1	no	—
225	C₂×D₄×D₁₃	—	2	1	no	—
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×#6127	—	2	1	no	—
231	C₂×#6127	—	2	1	no	—
232	C₂×#6127	C₂³	1	1	yes	characteristic
233	C₂×#6127	C₂³	1	1	yes	characteristic
234	C₂×#6127	C₂³	1	1	yes	characteristic
235	C₂²×D₅₂	—	2	1	no	—
236	C₂²×D₅₂	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₁₃	—	2	1	no	—
238	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
239	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
240	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
251	C₁₃×#124	C₂³	1	1	yes	characteristic
252	C₁₃×#124	C₂³	1	1	yes	characteristic
253	C₁₃×#123	—	2	1	no	—
254	C₁₃×#123	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₃×#121	—	2	1	no	—
258	C₁₃×#121	—	2	1	no	—
259	C₁₃×#121	C₂³	1	1	yes	characteristic
260	C₁₃×#121	C₂³	1	1	yes	characteristic
261	C₁₃×#120	—	2	1	no	—
262	C₁₃×#120	—	2	1	no	—
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
268	#88207	—	2	1	no	—
269	#88207	—	2	1	no	—
270	#88207	—	2	1	no	—
271	#88207	—	2	1	no	—
272	#88204	—	4	2	no	—
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
277	#88198	C₂³	1	1	yes	characteristic
278	C₂×#6107	C₂³	1	1	yes	characteristic
279	C₂×#6106	C₂³	1	1	yes	characteristic
280	C₂×#6106	C₂³	1	1	yes	characteristic
281	C₂×#6106	C₂³	1	1	yes	characteristic
282	#88194	—	2	1	no	—
283	#88194	—	2	1	no	—
284	#88194	—	2	1	no	—
285	#88194	D₄	1	1	yes	characteristic
286	#88194	C₂³	1	1	yes	characteristic
287	#88194	C₂³	1	1	yes	characteristic
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88193	—	2	1	no	—
294	#88193	—	2	1	no	—
295	#88192	—	2	1	no	—
296	#88192	—	2	1	no	—
297	#88192	D₄	1	1	yes	characteristic
298	#88192	C₂³	1	1	yes	characteristic
299	#88192	C₂³	1	1	yes	characteristic
300	#88192	C₂³	1	1	yes	characteristic
301	#88192	C₂³	1	1	yes	characteristic
302	#88192	C₂³	1	1	yes	characteristic
303	#88192	C₂³	1	1	yes	characteristic
304	#88191	—	2	1	no	—
305	#88191	—	2	1	no	—
306	#88191	—	2	1	no	—
307	#88191	—	2	1	no	—
308	#88191	—	2	1	no	—
309	#88190	—	2	1	no	—
310	#88189	—	2	1	no	—
311	#88189	—	2	1	no	—
312	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	C₂×#6105	C₂³	1	1	yes	characteristic
315	C₂×#6105	C₂³	1	1	yes	characteristic
316	C₂×#6104	—	4	2	no	—
317	C₂×#6104	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	—	2	1	no	—
324	#88184	—	2	1	no	—
325	#88184	—	2	1	no	—
326	#88184	C₂³	1	1	yes	characteristic
327	#88184	C₂³	1	1	yes	characteristic
328	#88184	C₂³	1	1	yes	characteristic
329	#88183	—	2	1	no	—
330	#88183	—	2	1	no	—
331	C₄×C₂²⋊D₁₃	—	2	1	no	—
332	C₄×C₂²⋊D₁₃	—	2	1	no	—
333	C₄×C₂²⋊D₁₃	—	2	1	no	—
334	C₄×C₂²⋊D₁₃	—	2	1	no	—
335	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
336	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
337	C₂×#6103	—	2	1	no	—
338	#88180	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
340	#88178	—	2	1	no	—
341	#88178	C₂³	1	1	yes	characteristic
342	C₂×#6101	—	2	1	no	—
343	C₂²×#1055	C₂³	1	1	yes	characteristic
344	C₂²×#1055	C₂³	1	1	yes	characteristic
345	#88173	—	4	2	no	—
346	#88168	—	4	2	no	—
347	#88165	—	4	2	no	—
348	D₈×D₁₃	—	4	2	no	—
349	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
350	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
351	C₂×#6095	C₂³	1	1	yes	characteristic
352	C₂×#6094	C₂³	1	1	yes	characteristic
353	C₂×#6094	C₂³	1	1	yes	characteristic
354	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
355	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
356	#88152	—	2	1	no	—
357	#88152	—	2	1	no	—
358	#88151	C₂³	1	1	yes	characteristic
359	#88150	—	2	1	no	—
360	#88150	—	2	1	no	—
361	#88149	—	2	1	no	—
362	#88149	—	2	1	no	—
363	#88149	D₄	1	1	yes	characteristic
364	#88149	C₂³	1	1	yes	characteristic
365	#88149	C₂³	1	1	yes	characteristic
366	#88148	—	2	1	no	—
367	#88148	—	2	1	no	—
368	#88147	C₂³	1	1	yes	characteristic
369	#88146	C₂³	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	—	2	1	no	—
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
373	#88142	D₄	1	1	yes	characteristic
374	#88142	C₂³	1	1	yes	characteristic
375	#88141	—	2	1	no	—
376	#88140	—	2	1	no	—
377	#88139	—	2	1	no	—
378	#88139	—	2	1	no	—
379	#88139	—	2	1	no	—
380	#88139	D₄	1	1	yes	characteristic
381	#88139	D₄	1	1	yes	characteristic
382	#88138	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88138	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88138	—	2	1	no	—
391	#88138	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	—	2	1	no	—
396	#88138	D₄	1	1	yes	characteristic
397	#88138	D₄	1	1	yes	characteristic
398	#88137	—	2	1	no	—
399	#88137	—	2	1	no	—
400	#88137	—	2	1	no	—
401	#88137	—	2	1	no	—
402	#88137	—	2	1	no	—
403	#88137	—	2	1	no	—
404	#88136	—	2	1	no	—
405	#88136	—	2	1	no	—
406	#88136	—	2	1	no	—
407	#88136	—	2	1	no	—
408	#88136	—	2	1	no	—
409	#88135	—	2	1	no	—
410	#88135	—	2	1	no	—
411	#88135	—	2	1	no	—
412	#88135	—	2	1	no	—
413	#88135	—	2	1	no	—
414	C₂²⋊C₄×D₁₃	—	2	1	no	—
415	C₂²⋊C₄×D₁₃	—	2	1	no	—
416	C₂²⋊C₄×D₁₃	—	2	1	no	—
417	C₂²⋊C₄×D₁₃	—	2	1	no	—
418	#88133	—	2	1	no	—
419	#88133	—	2	1	no	—
420	#88133	—	2	1	no	—
421	#88132	—	2	1	no	—
422	#88132	—	2	1	no	—
423	#88131	—	2	1	no	—
424	#88129	C₂³	1	1	yes	characteristic
425	C₄×D₅₂	C₂³	1	1	yes	characteristic
426	C₄×D₅₂	C₂³	1	1	yes	characteristic
427	C₄×D₅₂	C₂³	1	1	yes	characteristic
428	C₄²×D₁₃	C₂³	1	1	yes	characteristic
429	#88124	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88060	C₂³	1	1	yes	characteristic
467	#88060	C₂³	1	1	yes	characteristic
468	#88060	C₂³	1	1	yes	characteristic
469	#88060	C₂³	1	1	yes	characteristic
470	#88058	C₂³	1	1	yes	characteristic
471	#88058	C₂³	1	1	yes	characteristic
472	#88057	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88056	C₂³	1	1	yes	characteristic
475	#88056	C₂³	1	1	yes	characteristic
476	#88054	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88047	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	C₄×#1055	C₂³	1	1	yes	characteristic
490	#61657	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₂³×D₁₃	—	2	1	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₃	—	2	2	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	4	1	no	—
512	C₂×D₄×C₁₃	—	4	1	no	—
513	C₂×D₄×C₁₃	—	4	1	no	—
514	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	4	4	no	—
546	C₂×C₂²⋊D₁₃	—	4	4	no	—
547	C₂×C₂²⋊D₁₃	—	8	2	no	—
548	C₂×C₂²⋊D₁₃	—	8	2	no	—
549	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
555	C₂²×Dic₁₃	—	2	1	no	—
556	C₂²×Dic₁₃	—	2	1	no	—
557	C₂²×Dic₁₃	—	2	1	no	—
558	C₂²×Dic₁₃	—	2	1	no	—
559	C₂²×Dic₁₃	—	2	1	no	—
560	#6131	—	2	2	no	—
561	#6131	—	4	1	no	—
562	#6131	—	4	1	no	—
563	#6131	—	4	1	no	—
564	#6131	—	4	1	no	—
565	#6131	—	4	1	no	—
566	#6129	—	2	2	no	—
567	#6129	—	4	1	no	—
568	#6129	—	4	1	no	—
569	#6129	—	4	1	no	—
570	#6129	—	4	4	no	—
571	#6129	—	8	2	no	—
572	D₄×D₁₃	—	2	2	no	—
573	D₄×D₁₃	—	2	2	no	—
574	D₄×D₁₃	—	2	2	no	—
575	D₄×D₁₃	—	2	2	no	—
576	D₄×D₁₃	—	4	1	no	—
577	D₄×D₁₃	—	4	1	no	—
578	D₄×D₁₃	—	4	1	no	—
579	D₄×D₁₃	—	4	1	no	—
580	D₄×D₁₃	—	4	4	no	—
581	D₄×D₁₃	—	4	4	no	—
582	D₄×D₁₃	—	4	4	no	—
583	D₄×D₁₃	—	8	2	no	—
584	#6127	—	2	2	no	—
585	#6127	—	4	1	no	—
586	#6127	—	4	1	no	—
587	#6127	—	4	1	no	—
588	#6127	—	4	1	no	—
589	#6127	—	4	1	no	—
590	#6127	—	4	4	no	—
591	#6127	—	8	2	no	—
592	C₂×D₅₂	—	2	2	no	—
593	C₂×D₅₂	—	2	1	no	—
594	C₂×D₅₂	—	2	1	no	—
595	C₂×D₅₂	—	2	1	no	—
596	C₂×D₅₂	—	2	1	no	—
597	C₂×D₅₂	—	2	1	no	—
598	C₂×D₅₂	—	2	1	no	—
599	C₂×D₅₂	—	4	1	no	—
600	C₂×D₅₂	—	4	4	no	—
601	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
602	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
603	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
604	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
605	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
606	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₁₃	—	2	1	no	—
608	C₂×C₄×D₁₃	—	2	1	no	—
609	C₂×C₄×D₁₃	—	2	1	no	—
610	C₂×C₄×D₁₃	—	2	1	no	—
611	C₂×C₄×D₁₃	—	2	1	no	—
612	C₂×C₄×D₁₃	—	2	1	no	—
613	C₂×C₄×D₁₃	—	2	1	no	—
614	C₂×C₄×D₁₃	—	2	1	no	—
615	C₂×C₄×D₁₃	—	2	1	no	—
616	C₂×C₄×D₁₃	—	8	2	no	—
617	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
619	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
620	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
621	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
622	C₂×Dic₂₆	—	2	1	no	—
623	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
624	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
625	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
626	C₁₃×Q₁₆	—	4	1	no	—
627	C₁₃×SD₁₆	—	2	2	no	—
628	C₁₃×SD₁₆	—	4	1	no	—
629	C₁₃×SD₁₆	—	4	1	no	—
630	C₁₃×SD₁₆	—	4	1	no	—
631	C₁₃×D₈	—	2	2	no	—
632	C₁₃×D₈	—	2	2	no	—
633	C₁₃×D₈	—	4	1	no	—
634	C₁₃×D₈	—	4	1	no	—
635	C₁₃×M₁₆	—	4	1	no	—
636	C₁₃×M₁₆	—	4	1	no	—
637	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
638	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
641	C₁₃×C₄⋊C₄	—	2	1	no	—
642	C₁₃×C₄⋊C₄	—	2	1	no	—
643	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	—	2	1	no	—
664	C₂²⋊Dic₁₃	—	2	1	no	—
665	C₂²⋊Dic₁₃	—	2	1	no	—
666	C₂²⋊Dic₁₃	—	2	1	no	—
667	C₂²⋊Dic₁₃	—	2	1	no	—
668	C₂²⋊Dic₁₃	—	2	1	no	—
669	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
671	#6107	—	4	1	no	—
672	#6106	—	2	2	no	—
673	#6106	—	4	1	no	—
674	#6106	—	4	1	no	—
675	#6105	—	4	1	no	—
676	#6105	—	4	1	no	—
677	#6104	—	2	2	no	—
678	#6104	—	2	2	no	—
679	#6104	—	2	2	no	—
680	#6104	—	4	1	no	—
681	#6104	—	4	1	no	—
682	#6104	—	4	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	C₂×D₄	1	1	yes	characteristic
699	#6103	C₂×D₄	1	1	yes	characteristic
700	#6103	C₂×D₄	1	1	yes	characteristic
701	#6103	C₂×D₄	1	1	yes	characteristic
702	C₄⋊Dic₁₃	—	2	1	no	—
703	C₄⋊Dic₁₃	—	2	1	no	—
704	C₄⋊Dic₁₃	—	2	1	no	—
705	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
706	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
707	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
708	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
709	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	—	2	1	no	—
720	#6101	—	2	1	no	—
721	#6101	C₂×D₄	1	1	yes	characteristic
722	#6101	C₂×D₄	1	1	yes	characteristic
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	—	2	1	no	—
726	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
727	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
728	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	—	4	1	no	—
730	C₂×#1055	—	4	1	no	—
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	D₁₀₄	—	2	2	no	—
736	D₁₀₄	—	4	1	no	—
737	#6095	—	4	1	no	—
738	#6094	—	4	1	no	—
739	#6094	—	4	1	no	—
740	C₈×D₁₃	—	4	1	no	—
741	C₈×D₁₃	—	4	1	no	—
742	#3546	—	13	1	no	—
743	#3496	—	13	1	no	—
744	#3330	—	13	1	no	—
745	#3324	—	13	1	no	—
746	#3322	—	13	1	no	—
747	#3322	—	13	1	no	—
748	#3302	—	13	1	no	—
749	#3297	—	13	1	no	—
750	#3297	—	13	1	no	—
751	#3294	—	13	1	no	—
752	#3284	—	13	1	no	—
753	#3280	—	13	1	no	—
754	#3280	—	13	1	no	—
755	D₄×D₈	—	13	1	no	—
756	#3274	—	13	1	no	—
757	#3273	—	13	1	no	—
758	#3273	D₁₃	1	1	yes	characteristic, complemented
759	#3272	—	13	1	no	—
760	#3212	—	13	1	no	—
761	#3207	—	13	1	no	—
762	#3203	—	13	1	no	—
763	#3203	—	13	1	no	—
764	#3198	—	13	1	no	—
765	#3198	—	13	1	no	—
766	#3105	—	13	1	no	—
767	#3100	—	13	1	no	—
768	#3012	—	13	1	no	—
769	#3012	—	13	1	no	—
770	#3008	—	13	1	no	—
771	#3008	—	13	1	no	—
772	#2979	—	13	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	2	1	no	—
776	C₂³×C₁₃	—	2	1	no	—
777	C₂³×C₁₃	—	4	2	no	—
778	C₂³×C₁₃	—	8	1	no	—
779	C₂³×C₁₃	—	8	1	no	—
780	C₂³×C₁₃	—	8	1	no	—
781	C₂³×C₁₃	—	8	1	no	—
782	C₂³×C₁₃	—	8	1	no	—
783	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂²×D₁₃	—	2	1	no	—
786	C₂²×D₁₃	—	2	4	no	—
787	C₂²×D₁₃	—	2	1	no	—
788	C₂²×D₁₃	—	2	1	no	—
789	C₂²×D₁₃	—	4	2	no	—
790	C₂²×D₁₃	—	4	2	no	—
791	C₂²×D₁₃	—	4	2	no	—
792	C₂²×D₁₃	—	8	1	no	—
793	C₂²×D₁₃	—	8	1	no	—
794	C₂²×D₁₃	—	8	1	no	—
795	C₂²×D₁₃	—	8	1	no	—
796	C₂²×D₁₃	—	8	1	no	—
797	C₂²×D₁₃	—	8	1	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	C₂²×D₁₃	—	8	1	no	—
800	C₂²×D₁₃	—	8	1	no	—
801	C₂²×D₁₃	—	8	1	no	—
802	C₂²×D₁₃	—	8	1	no	—
803	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
806	Q₈×C₁₃	—	2	1	no	—
807	Q₈×C₁₃	—	2	1	no	—
808	Q₈×C₁₃	—	2	1	no	—
809	Q₈×C₁₃	—	2	1	no	—
810	D₄×C₁₃	—	2	1	no	—
811	D₄×C₁₃	—	2	1	no	—
812	D₄×C₁₃	—	2	1	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	2	1	no	—
816	D₄×C₁₃	—	2	1	no	—
817	D₄×C₁₃	—	4	1	no	—
818	D₄×C₁₃	—	4	2	no	—
819	D₄×C₁₃	—	4	2	no	—
820	D₄×C₁₃	—	8	1	no	—
821	D₄×C₁₃	—	8	1	no	—
822	D₄×C₁₃	—	8	1	no	—
823	D₄×C₁₃	—	8	1	no	—
824	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	2	1	no	—
830	C₂×C₄×C₁₃	—	2	1	no	—
831	C₂×C₄×C₁₃	—	2	1	no	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	4	2	no	—
834	C₂×C₄×C₁₃	—	8	1	no	—
835	C₂×C₄×C₁₃	—	8	1	no	—
836	C₂×C₄×C₁₃	—	8	1	no	—
837	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
841	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
842	C₂²⋊D₁₃	—	2	4	no	—
843	C₂²⋊D₁₃	—	2	2	no	—
844	C₂²⋊D₁₃	—	2	2	no	—
845	C₂²⋊D₁₃	—	4	1	no	—
846	C₂²⋊D₁₃	—	4	1	no	—
847	C₂²⋊D₁₃	—	4	1	no	—
848	C₂²⋊D₁₃	—	4	1	no	—
849	C₂²⋊D₁₃	—	4	2	no	—
850	C₂²⋊D₁₃	—	4	2	no	—
851	C₂²⋊D₁₃	—	4	2	no	—
852	C₂²⋊D₁₃	—	4	2	no	—
853	C₂²⋊D₁₃	—	4	2	no	—
854	C₂²⋊D₁₃	—	4	2	no	—
855	C₂²⋊D₁₃	—	4	2	no	—
856	C₂²⋊D₁₃	—	8	1	no	—
857	C₂²⋊D₁₃	—	8	1	no	—
858	C₂²⋊D₁₃	—	8	1	no	—
859	C₂²⋊D₁₃	—	8	1	no	—
860	C₂²⋊D₁₃	—	8	1	no	—
861	C₂²⋊D₁₃	—	8	1	no	—
862	C₂²⋊D₁₃	—	8	1	no	—
863	C₂²⋊D₁₃	—	8	1	no	—
864	C₂²⋊D₁₃	—	8	1	no	—
865	C₂²⋊D₁₃	—	8	1	no	—
866	C₂²⋊D₁₃	—	8	1	no	—
867	C₂²⋊D₁₃	—	8	1	no	—
868	C₂×Dic₁₃	—	2	1	no	—
869	C₂×Dic₁₃	—	2	1	no	—
870	C₂×Dic₁₃	—	2	1	no	—
871	C₂×Dic₁₃	—	2	1	no	—
872	C₂×Dic₁₃	—	2	1	no	—
873	C₂×Dic₁₃	—	4	2	no	—
874	C₂×Dic₁₃	—	4	2	no	—
875	C₂×Dic₁₃	—	4	2	no	—
876	C₂×Dic₁₃	—	4	2	no	—
877	C₂×Dic₁₃	—	8	1	no	—
878	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
879	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
880	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
881	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
882	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
883	D₅₂	—	2	1	no	—
884	D₅₂	—	2	1	no	—
885	D₅₂	—	2	1	no	—
886	D₅₂	—	2	1	no	—
887	D₅₂	—	2	1	no	—
888	D₅₂	—	4	1	no	—
889	D₅₂	—	4	1	no	—
890	D₅₂	—	4	1	no	—
891	D₅₂	—	4	2	no	—
892	D₅₂	—	4	2	no	—
893	D₅₂	—	4	2	no	—
894	D₅₂	—	8	1	no	—
895	D₅₂	—	8	1	no	—
896	D₅₂	—	8	1	no	—
897	D₅₂	H(5,𝔽₂)	1	2	yes	—
898	C₄×D₁₃	—	2	1	no	—
899	C₄×D₁₃	—	2	1	no	—
900	C₄×D₁₃	—	2	1	no	—
901	C₄×D₁₃	—	2	1	no	—
902	C₄×D₁₃	—	2	1	no	—
903	C₄×D₁₃	—	2	1	no	—
904	C₄×D₁₃	—	2	2	no	—
905	C₄×D₁₃	—	4	1	no	—
906	C₄×D₁₃	—	4	2	no	—
907	C₄×D₁₃	—	4	2	no	—
908	C₄×D₁₃	—	4	2	no	—
909	C₄×D₁₃	—	4	2	no	—
910	C₄×D₁₃	—	8	1	no	—
911	C₄×D₁₃	—	8	1	no	—
912	C₄×D₁₃	—	8	1	no	—
913	C₄×D₁₃	—	8	1	no	—
914	C₄×D₁₃	—	8	1	no	—
915	Dic₂₆	—	2	1	no	—
916	Dic₂₆	—	2	1	no	—
917	Dic₂₆	—	4	1	no	—
918	Dic₂₆	—	4	1	no	—
919	Dic₂₆	—	4	2	no	—
920	C₈×C₁₃	—	2	1	no	—
921	C₈×C₁₃	—	2	1	no	—
922	C₈×C₁₃	—	2	1	no	—
923	C₈×C₁₃	—	2	1	no	—
924	#1055	—	2	1	no	—
925	#1055	—	2	1	no	—
926	#1055	—	2	1	no	—
927	#1055	—	2	1	no	—
928	C₂×H(5,𝔽₂)	—	13	1	no	—
929	C₂×H(5,𝔽₂)	—	13	1	no	—
930	C₂×AGL(1,ℤ/8)	—	13	1	no	—
931	C₂×AGL(1,ℤ/8)	—	13	1	no	—
932	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic, complemented
933	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic, complemented
934	C₂×#135	—	13	1	no	—
935	C₂×#135	—	13	1	no	—
936	C₂²×D₈	—	13	1	no	—
937	C₂²×D₈	—	13	1	no	—
938	#560	—	26	1	no	—
939	#560	—	26	1	no	—
940	#556	—	13	1	no	—
941	#553	—	13	1	no	—
942	#553	—	13	1	no	—
943	#550	—	13	1	no	—
944	#550	—	26	1	no	—
945	#547	—	13	1	no	—
946	#547	—	13	1	no	—
947	#547	—	13	1	no	—
948	#547	—	26	1	no	—
949	#546	—	13	1	no	—
950	#546	—	13	1	no	—
951	#546	—	13	1	no	—
952	#546	—	13	1	no	—
953	#546	—	26	1	no	—
954	#546	—	26	1	no	—
955	#546	—	26	1	no	—
956	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
957	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
958	D₄²	—	13	1	no	—
959	D₄²	—	13	1	no	—
960	D₄²	—	13	1	no	—
961	D₄²	—	26	1	no	—
962	#542	—	26	1	no	—
963	#538	—	26	1	no	—
964	#538	—	26	1	no	—
965	#537	—	13	1	no	—
966	#537	—	13	1	no	—
967	#537	—	13	1	no	—
968	#537	—	13	1	no	—
969	#535	—	13	1	no	—
970	#535	—	13	1	no	—
971	#535	—	26	1	no	—
972	#534	—	26	1	no	—
973	#534	—	26	1	no	—
974	#532	—	13	1	no	—
975	#532	—	13	1	no	—
976	#532	—	13	1	no	—
977	#529	—	13	1	no	—
978	C₂×#121	—	26	1	no	—
979	C₂×#121	—	26	1	no	—
980	C₂×C₄×D₄	—	13	1	no	—
981	#495	—	13	1	no	—
982	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
983	#493	—	13	1	no	—
984	#492	—	13	1	no	—
985	#488	—	13	1	no	—
986	#488	—	13	1	no	—
987	#487	—	13	1	no	—
988	#486	—	13	1	no	—
989	#485	—	13	1	no	—
990	#485	—	13	1	no	—
991	#484	—	13	1	no	—
992	#484	—	13	1	no	—
993	#484	—	13	1	no	—
994	#482	—	13	1	no	—
995	#482	—	13	1	no	—
996	#481	—	13	1	no	—
997	#480	—	13	1	no	—
998	#480	—	13	1	no	—
999	#480	—	13	1	no	—
1000	#480	—	13	1	no	—
1001	#478	—	13	1	no	—
1002	#478	—	13	1	no	—
1003	#474	—	13	1	no	—
1004	#474	—	13	1	no	—
1005	#469	—	13	1	no	—
1006	#469	—	13	1	no	—
1007	#468	—	13	1	no	—
1008	#468	—	13	1	no	—
1009	#468	—	13	1	no	—
1010	#468	—	13	1	no	—
1011	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1012	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	#467	—	13	1	no	—
1014	#467	—	13	1	no	—
1015	#466	—	13	1	no	—
1016	#466	—	13	1	no	—
1017	#466	—	13	1	no	—
1018	#466	—	13	1	no	—
1019	#465	—	13	1	no	—
1020	#465	—	13	1	no	—
1021	#463	—	13	1	no	—
1022	#463	—	13	1	no	—
1023	#463	—	13	1	no	—
1024	#463	—	13	1	no	—
1025	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1026	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#462	—	13	1	no	—
1028	#461	—	13	1	no	—
1029	#460	—	13	1	no	—
1030	#459	—	13	1	no	—
1031	#459	—	13	1	no	—
1032	#459	—	13	1	no	—
1033	#452	—	13	1	no	—
1034	#452	—	13	1	no	—
1035	#452	—	13	1	no	—
1036	#452	—	13	1	no	—
1037	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1038	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1039	#450	—	13	1	no	—
1040	#450	—	13	1	no	—
1041	#450	—	13	1	no	—
1042	#450	—	13	1	no	—
1043	#450	—	13	1	no	—
1044	#449	—	13	1	no	—
1045	#449	—	13	1	no	—
1046	#449	—	13	1	no	—
1047	#449	—	13	1	no	—
1048	#449	—	13	1	no	—
1049	#449	—	13	1	no	—
1050	#449	—	13	1	no	—
1051	#449	—	13	1	no	—
1052	#449	—	13	1	no	—
1053	#449	—	13	1	no	—
1054	#449	—	13	1	no	—
1055	#449	—	13	1	no	—
1056	#449	—	13	1	no	—
1057	#449	—	13	1	no	—
1058	#447	—	13	1	no	—
1059	#447	—	13	1	no	—
1060	#447	—	13	1	no	—
1061	#447	—	13	1	no	—
1062	#447	—	13	1	no	—
1063	#447	—	13	1	no	—
1064	#447	—	13	1	no	—
1065	#447	—	13	1	no	—
1066	#447	—	13	1	no	—
1067	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1068	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1069	C₄×SD₁₆	—	13	1	no	—
1070	C₄×SD₁₆	—	13	1	no	—
1071	C₄×D₈	—	13	1	no	—
1072	C₄×D₈	—	13	1	no	—
1073	C₄×D₈	—	13	1	no	—
1074	C₄×D₈	—	13	1	no	—
1075	C₄×D₈	—	13	1	no	—
1076	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1077	#436	—	13	1	no	—
1078	#436	—	13	1	no	—
1079	#436	—	13	1	no	—
1080	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
1081	C₈×D₄	—	13	1	no	—
1082	C₈×D₄	—	13	1	no	—
1083	C₈×D₄	—	13	1	no	—
1084	C₈×D₄	—	13	1	no	—
1085	#431	—	13	1	no	—
1086	#431	—	13	1	no	—
1087	#418	—	13	1	no	—
1088	#418	—	13	1	no	—
1089	#417	—	13	1	no	—
1090	#417	—	13	1	no	—
1091	#416	—	13	1	no	—
1092	#416	—	13	1	no	—
1093	C₂×#102	—	13	1	no	—
1094	C₂×#102	—	13	1	no	—
1095	#408	—	13	1	no	—
1096	#408	—	13	1	no	—
1097	#408	—	13	1	no	—
1098	#408	—	13	1	no	—
1099	C₂²×C₁₃	—	2	1	no	—
1100	C₂²×C₁₃	—	2	1	no	—
1101	C₂²×C₁₃	—	2	2	no	—
1102	C₂²×C₁₃	—	2	1	no	—
1103	C₂²×C₁₃	—	2	1	no	—
1104	C₂²×C₁₃	—	2	1	no	—
1105	C₂²×C₁₃	—	2	1	no	—
1106	C₂²×C₁₃	—	4	1	no	—
1107	C₂²×C₁₃	—	4	1	no	—
1108	C₂²×C₁₃	—	4	1	no	—
1109	C₂²×C₁₃	—	4	1	no	—
1110	C₂²×C₁₃	—	4	1	no	—
1111	C₂²×C₁₃	—	4	1	no	—
1112	C₂²×C₁₃	—	4	1	no	—
1113	C₂²×C₁₃	—	4	1	no	—
1114	C₂²×C₁₃	—	4	1	no	—
1115	C₂²×C₁₃	—	4	1	no	—
1116	C₂²×C₁₃	—	4	1	no	—
1117	C₂²×C₁₃	—	16	2	no	—
1118	C₂²×C₁₃	—	16	2	no	—
1119	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1120	C₂×D₁₃	—	2	1	no	—
1121	C₂×D₁₃	—	2	1	no	—
1122	C₂×D₁₃	—	2	1	no	—
1123	C₂×D₁₃	—	2	1	no	—
1124	C₂×D₁₃	—	2	1	no	—
1125	C₂×D₁₃	—	2	1	no	—
1126	C₂×D₁₃	—	2	2	no	—
1127	C₂×D₁₃	—	2	1	no	—
1128	C₂×D₁₃	—	2	1	no	—
1129	C₂×D₁₃	—	2	1	no	—
1130	C₂×D₁₃	—	4	1	no	—
1131	C₂×D₁₃	—	4	1	no	—
1132	C₂×D₁₃	—	4	1	no	—
1133	C₂×D₁₃	—	4	1	no	—
1134	C₂×D₁₃	—	4	1	no	—
1135	C₂×D₁₃	—	4	1	no	—
1136	C₂×D₁₃	—	4	1	no	—
1137	C₂×D₁₃	—	4	1	no	—
1138	C₂×D₁₃	—	8	4	no	—
1139	C₂×D₁₃	—	16	2	no	—
1140	C₂×D₁₃	—	16	2	no	—
1141	C₂×D₁₃	—	16	2	no	—
1142	C₂×D₁₃	—	16	2	no	—
1143	C₄×C₁₃	—	2	1	no	—
1144	C₄×C₁₃	—	2	1	no	—
1145	C₄×C₁₃	—	2	1	no	—
1146	C₄×C₁₃	—	2	1	no	—
1147	C₄×C₁₃	—	4	1	no	—
1148	C₄×C₁₃	—	4	1	no	—
1149	C₄×C₁₃	—	4	1	no	—
1150	C₄×C₁₃	—	4	1	no	—
1151	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1152	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1153	Dic₁₃	—	2	1	no	—
1154	Dic₁₃	—	2	1	no	—
1155	Dic₁₃	—	2	1	no	—
1156	Dic₁₃	—	2	1	no	—
1157	Dic₁₃	—	4	1	no	—
1158	Dic₁₃	—	4	1	no	—
1159	Dic₁₃	—	4	1	no	—
1160	Dic₁₃	—	4	1	no	—
1161	Dic₁₃	—	4	1	no	—
1162	Dic₁₃	#576	1	2	yes	—
1163	H(5,𝔽₂)	—	52	2	no	—
1164	H(5,𝔽₂)	—	52	2	no	—
1165	H(5,𝔽₂)	—	52	2	no	—
1166	H(5,𝔽₂)	—	52	2	no	—
1167	C₂×#41	—	13	1	no	—
1168	C₂×#41	—	13	1	no	—
1169	C₂×#41	—	13	1	no	—
1170	C₂×#41	—	13	1	no	—
1171	C₂×#41	—	13	1	no	—
1172	C₂×#41	—	13	1	no	—
1173	C₂×#41	—	13	1	no	—
1174	C₂×#41	—	13	1	no	—
1175	C₂×#41	—	26	1	no	—
1176	C₂×#41	—	26	1	no	—
1177	C₂×#41	—	26	1	no	—
1178	C₂×#41	—	26	1	no	—
1179	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1180	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1181	C₂²×D₄	—	13	1	no	—
1182	C₂²×D₄	—	13	1	no	—
1183	C₂²×D₄	—	13	1	no	—
1184	C₂²×D₄	—	13	1	no	—
1185	C₂²×D₄	—	13	1	no	—
1186	C₂²×D₄	—	26	1	no	—
1187	C₂²×D₄	—	26	1	no	—
1188	C₂²×D₄	—	26	1	no	—
1189	C₂²×D₄	—	26	1	no	—
1190	C₂²×D₄	—	26	1	no	—
1191	C₂²×D₄	—	26	1	no	—
1192	C₂²×D₄	—	26	1	no	—
1193	C₂²×D₄	—	26	1	no	—
1194	C₂²×D₄	—	26	1	no	—
1195	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1196	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂³×C₄	—	26	1	no	—
1198	AGL(1,ℤ/8)	—	4	2	no	—
1199	AGL(1,ℤ/8)	—	4	2	no	—
1200	AGL(1,ℤ/8)	—	52	2	no	—
1201	AGL(1,ℤ/8)	—	52	2	no	—
1202	#135	—	52	2	no	—
1203	#135	—	52	2	no	—
1204	C₂×Q₁₆	—	13	1	no	—
1205	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1206	C₂×SD₁₆	—	13	1	no	—
1207	C₂×SD₁₆	—	13	1	no	—
1208	C₂×SD₁₆	—	13	1	no	—
1209	C₂×SD₁₆	—	13	1	no	—
1210	C₂×SD₁₆	—	13	1	no	—
1211	C₂×SD₁₆	—	13	1	no	—
1212	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1213	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1214	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1215	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1216	C₂×D₈	—	13	1	no	—
1217	C₂×D₈	—	13	1	no	—
1218	C₂×D₈	—	13	1	no	—
1219	C₂×D₈	—	13	1	no	—
1220	C₂×D₈	—	13	1	no	—
1221	C₂×D₈	—	13	1	no	—
1222	C₂×D₈	—	13	1	no	—
1223	C₂×D₈	—	13	1	no	—
1224	C₂×D₈	—	52	2	no	—
1225	C₂×D₈	—	52	2	no	—
1226	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1227	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1228	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1229	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1230	C₂×M₁₆	—	13	1	no	—
1231	C₂×M₁₆	—	13	1	no	—
1232	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1233	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1234	C₂²×C₈	—	13	1	no	—
1235	C₂²×C₈	—	13	1	no	—
1236	C₂²×C₈	—	13	1	no	—
1237	C₂²×C₈	—	13	1	no	—
1238	C₄⋊Q₈	—	13	1	no	—
1239	C₄⋊Q₈	—	13	1	no	—
1240	C₄⋊Q₈	—	13	1	no	—
1241	#127	—	13	1	no	—
1242	#127	—	13	1	no	—
1243	#127	—	13	1	no	—
1244	#127	—	26	1	no	—
1245	#127	—	26	1	no	—
1246	#127	—	26	1	no	—
1247	#126	—	26	1	no	—
1248	#126	—	26	1	no	—
1249	#126	—	26	1	no	—
1250	#126	—	26	1	no	—
1251	#126	—	26	1	no	—
1252	#125	—	13	1	no	—
1253	#124	—	13	1	no	—
1254	#124	—	13	1	no	—
1255	#124	—	13	1	no	—
1256	#124	—	26	1	no	—
1257	#124	—	26	1	no	—
1258	#124	—	26	1	no	—
1259	#124	—	26	1	no	—
1260	#124	C₂²×D₁₃	1	1	yes	characteristic
1261	#124	C₂²×D₁₃	1	1	yes	characteristic
1262	#123	—	2	1	no	—
1263	#123	—	2	1	no	—
1264	#123	—	26	1	no	—
1265	#123	—	26	1	no	—
1266	#123	—	26	1	no	—
1267	#123	—	26	1	no	—
1268	#123	—	26	1	no	—
1269	#123	—	26	1	no	—
1270	#123	—	26	1	no	—
1271	#123	—	26	1	no	—
1272	#123	—	26	1	no	—
1273	#123	—	26	1	no	—
1274	#123	—	26	1	no	—
1275	#123	—	26	1	no	—
1276	#123	—	26	1	no	—
1277	C₂²⋊Q₈	—	13	1	no	—
1278	C₂²⋊Q₈	—	13	1	no	—
1279	C₂²⋊Q₈	—	13	1	no	—
1280	C₂²⋊Q₈	—	13	1	no	—
1281	C₂²⋊Q₈	—	13	1	no	—
1282	C₂²⋊Q₈	—	26	1	no	—
1283	C₂²⋊Q₈	—	26	1	no	—
1284	C₂²⋊Q₈	—	26	1	no	—
1285	C₂²⋊Q₈	—	26	1	no	—
1286	C₂²⋊Q₈	—	26	1	no	—
1287	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1288	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	13	1	no	—
1292	#121	—	13	1	no	—
1293	#121	—	13	1	no	—
1294	#121	—	13	1	no	—
1295	#121	—	13	1	no	—
1296	#121	—	13	1	no	—
1297	#121	—	13	1	no	—
1298	#121	—	13	1	no	—
1299	#121	—	13	1	no	—
1300	#121	—	13	1	no	—
1301	#121	—	13	1	no	—
1302	#121	—	13	1	no	—
1303	#121	—	13	1	no	—
1304	#121	—	13	1	no	—
1305	#121	—	13	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	—	26	1	no	—
1317	#121	—	26	1	no	—
1318	#121	—	26	1	no	—
1319	#121	—	26	1	no	—
1320	#121	—	26	1	no	—
1321	#121	—	26	1	no	—
1322	#121	—	26	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	—	26	1	no	—
1330	#121	—	26	1	no	—
1331	#121	—	26	1	no	—
1332	#121	—	26	1	no	—
1333	#121	—	26	1	no	—
1334	#121	C₂²×D₁₃	1	1	yes	characteristic
1335	#121	C₂²×D₁₃	1	1	yes	characteristic
1336	#120	—	2	1	no	—
1337	#120	—	2	1	no	—
1338	#120	—	26	1	no	—
1339	#120	—	26	1	no	—
1340	#120	—	26	1	no	—
1341	#120	—	26	1	no	—
1342	#120	—	26	1	no	—
1343	#120	—	26	1	no	—
1344	#120	—	26	1	no	—
1345	#120	—	26	1	no	—
1346	#120	—	26	1	no	—
1347	#120	—	26	1	no	—
1348	#120	—	26	1	no	—
1349	#120	—	26	1	no	—
1350	#120	—	26	1	no	—
1351	#120	—	26	1	no	—
1352	C₄×Q₈	—	13	1	no	—
1353	C₄×Q₈	—	26	1	no	—
1354	C₄×D₄	—	13	1	no	—
1355	C₄×D₄	—	13	1	no	—
1356	C₄×D₄	—	13	1	no	—
1357	C₄×D₄	—	13	1	no	—
1358	C₄×D₄	—	13	1	no	—
1359	C₄×D₄	—	13	1	no	—
1360	C₄×D₄	—	13	1	no	—
1361	C₄×D₄	—	13	1	no	—
1362	C₄×D₄	—	26	1	no	—
1363	C₄×D₄	—	26	1	no	—
1364	C₄×D₄	—	26	1	no	—
1365	C₄×D₄	—	26	1	no	—
1366	C₄×D₄	—	26	1	no	—
1367	C₄×D₄	—	26	1	no	—
1368	C₄×D₄	—	26	1	no	—
1369	C₄×D₄	—	26	1	no	—
1370	C₄×D₄	—	26	1	no	—
1371	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1372	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1373	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1374	#117	—	13	1	no	—
1375	#117	—	13	1	no	—
1376	#117	—	26	1	no	—
1377	C₂×C₄⋊C₄	—	13	1	no	—
1378	C₂×C₄⋊C₄	—	13	1	no	—
1379	C₂×C₄⋊C₄	—	13	1	no	—
1380	C₂×C₄⋊C₄	—	26	1	no	—
1381	C₂×C₄⋊C₄	—	26	1	no	—
1382	C₂×C₂²⋊C₄	—	2	1	no	—
1383	C₂×C₂²⋊C₄	—	2	1	no	—
1384	C₂×C₂²⋊C₄	—	26	1	no	—
1385	C₂×C₂²⋊C₄	—	26	1	no	—
1386	C₂×C₂²⋊C₄	—	26	1	no	—
1387	C₂×C₂²⋊C₄	—	26	1	no	—
1388	C₂×C₂²⋊C₄	—	26	1	no	—
1389	C₂×C₄²	—	13	1	no	—
1390	#107	—	13	1	no	—
1391	#107	—	13	1	no	—
1392	#107	—	13	1	no	—
1393	#107	—	13	1	no	—
1394	#107	—	13	1	no	—
1395	#107	C₂²×D₁₃	1	1	yes	characteristic
1396	#106	—	13	1	no	—
1397	#106	—	13	1	no	—
1398	C₄⋊C₈	—	13	1	no	—
1399	C₄⋊C₈	—	13	1	no	—
1400	C₄⋊C₈	—	13	1	no	—
1401	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1402	#103	—	13	1	no	—
1403	#103	—	13	1	no	—
1404	#103	—	13	1	no	—
1405	#103	—	13	1	no	—
1406	#103	—	13	1	no	—
1407	#103	—	13	1	no	—
1408	#103	—	13	1	no	—
1409	#103	—	13	1	no	—
1410	#103	C₂²×D₁₃	1	1	yes	characteristic
1411	#103	C₂²×D₁₃	1	1	yes	characteristic
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	#102	—	13	1	no	—
1420	#102	—	13	1	no	—
1421	#102	—	13	1	no	—
1422	#102	—	13	1	no	—
1423	#102	—	13	1	no	—
1424	#102	—	13	1	no	—
1425	#102	—	13	1	no	—
1426	#102	—	13	1	no	—
1427	#102	—	13	1	no	—
1428	#102	—	13	1	no	—
1429	#102	—	13	1	no	—
1430	#102	C₂²×D₁₃	1	1	yes	characteristic
1431	#102	C₂²×D₁₃	1	1	yes	characteristic
1432	#102	C₂²×D₁₃	1	1	yes	characteristic
1433	#102	C₂²×D₁₃	1	1	yes	characteristic
1434	C₂²⋊C₈	—	13	1	no	—
1435	C₂²⋊C₈	—	13	1	no	—
1436	C₂²⋊C₈	—	13	1	no	—
1437	C₂²⋊C₈	—	13	1	no	—
1438	C₂²⋊C₈	—	13	1	no	—
1439	C₂²⋊C₈	—	13	1	no	—
1440	C₂²⋊C₈	—	13	1	no	—
1441	C₂²⋊C₈	—	13	1	no	—
1442	C₂²⋊C₈	—	13	1	no	—
1443	C₂²⋊C₈	—	13	1	no	—
1444	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1445	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1446	C₄×C₈	—	13	1	no	—
1447	C₄×C₈	—	13	1	no	—
1448	C₄×C₈	—	13	1	no	—
1449	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1450	C₂×C₁₃	—	4	2	no	—
1451	C₂×C₁₃	—	4	1	no	—
1452	C₂×C₁₃	—	4	1	no	—
1453	C₂×C₁₃	—	8	1	no	—
1454	C₂×C₁₃	—	8	1	no	—
1455	C₂×C₁₃	—	8	1	no	—
1456	C₂×C₁₃	#3484	1	1	yes	characteristic
1457	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1458	C₂×C₁₃	#3584	1	1	yes	characteristic
1459	D₁₃	—	4	1	no	—
1460	D₁₃	—	4	1	no	—
1461	D₁₃	—	4	1	no	—
1462	D₁₃	—	4	2	no	—
1463	D₁₃	—	8	1	no	—
1464	D₁₃	—	8	1	no	—
1465	C₂⁴	—	2	1	no	—
1466	C₂⁴	—	2	1	no	—
1467	C₂⁴	—	26	1	no	—
1468	C₂⁴	—	26	1	no	—
1469	C₂⁴	—	26	1	no	—
1470	C₂⁴	—	26	1	no	—
1471	C₂⁴	—	26	1	no	—
1472	#41	—	2	2	no	—
1473	#41	—	4	1	no	—
1474	#41	—	4	1	no	—
1475	#41	—	4	1	no	—
1476	#41	—	26	2	no	—
1477	#41	—	26	2	no	—
1478	#41	—	26	2	no	—
1479	#41	—	52	1	no	—
1480	#41	—	52	1	no	—
1481	#41	—	52	1	no	—
1482	#41	—	52	1	no	—
1483	#41	—	52	1	no	—
1484	#41	—	52	4	no	—
1485	#41	—	52	1	no	—
1486	#41	—	52	1	no	—
1487	#41	—	52	1	no	—
1488	#41	—	52	1	no	—
1489	#41	—	52	1	no	—
1490	#41	—	52	1	no	—
1491	#41	—	52	1	no	—
1492	#41	—	52	1	no	—
1493	#41	—	52	4	no	—
1494	#41	—	104	2	no	—
1495	#41	—	104	2	no	—
1496	C₂×Q₈	—	13	1	no	—
1497	C₂×Q₈	—	13	1	no	—
1498	C₂×Q₈	—	13	1	no	—
1499	C₂×Q₈	—	26	1	no	—
1500	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1501	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1502	C₂×D₄	—	2	2	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	4	1	no	—
1510	C₂×D₄	—	4	1	no	—
1511	C₂×D₄	—	4	1	no	—
1512	C₂×D₄	—	13	1	no	—
1513	C₂×D₄	—	13	1	no	—
1514	C₂×D₄	—	13	1	no	—
1515	C₂×D₄	—	13	1	no	—
1516	C₂×D₄	—	13	1	no	—
1517	C₂×D₄	—	13	1	no	—
1518	C₂×D₄	—	13	1	no	—
1519	C₂×D₄	—	13	1	no	—
1520	C₂×D₄	—	13	1	no	—
1521	C₂×D₄	—	13	1	no	—
1522	C₂×D₄	—	13	1	no	—
1523	C₂×D₄	—	13	1	no	—
1524	C₂×D₄	—	26	2	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	26	1	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	26	1	no	—
1537	C₂×D₄	—	26	1	no	—
1538	C₂×D₄	—	26	2	no	—
1539	C₂×D₄	—	26	2	no	—
1540	C₂×D₄	—	26	2	no	—
1541	C₂×D₄	—	26	2	no	—
1542	C₂×D₄	—	26	1	no	—
1543	C₂×D₄	—	26	1	no	—
1544	C₂×D₄	—	26	1	no	—
1545	C₂×D₄	—	26	1	no	—
1546	C₂×D₄	—	26	1	no	—
1547	C₂×D₄	—	26	1	no	—
1548	C₂×D₄	—	26	1	no	—
1549	C₂×D₄	—	26	1	no	—
1550	C₂×D₄	—	26	1	no	—
1551	C₂×D₄	—	26	1	no	—
1552	C₂×D₄	—	26	1	no	—
1553	C₂×D₄	—	26	1	no	—
1554	C₂×D₄	—	26	1	no	—
1555	C₂×D₄	—	52	1	no	—
1556	C₂×D₄	—	52	4	no	—
1557	C₂×D₄	—	52	1	no	—
1558	C₂×D₄	—	52	1	no	—
1559	C₂×D₄	—	52	1	no	—
1560	C₂×D₄	—	52	1	no	—
1561	C₂×D₄	—	52	4	no	—
1562	C₂×D₄	—	52	4	no	—
1563	C₂×D₄	—	52	4	no	—
1564	C₂×D₄	—	52	4	no	—
1565	C₂×D₄	—	52	4	no	—
1566	C₂×D₄	—	104	2	no	—
1567	C₂×D₄	—	104	2	no	—
1568	C₂×D₄	—	104	2	no	—
1569	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1570	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1571	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1572	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1573	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1574	C₂²×C₄	—	2	1	no	—
1575	C₂²×C₄	—	2	1	no	—
1576	C₂²×C₄	—	2	1	no	—
1577	C₂²×C₄	—	2	1	no	—
1578	C₂²×C₄	—	13	1	no	—
1579	C₂²×C₄	—	13	1	no	—
1580	C₂²×C₄	—	13	1	no	—
1581	C₂²×C₄	—	13	1	no	—
1582	C₂²×C₄	—	13	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	—	104	2	no	—
1598	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1599	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1600	Q₁₆	—	4	1	no	—
1601	Q₁₆	—	52	1	no	—
1602	SD₁₆	—	2	2	no	—
1603	SD₁₆	—	4	1	no	—
1604	SD₁₆	—	4	1	no	—
1605	SD₁₆	—	4	1	no	—
1606	SD₁₆	—	26	2	no	—
1607	SD₁₆	—	52	1	no	—
1608	SD₁₆	—	52	1	no	—
1609	SD₁₆	—	52	1	no	—
1610	SD₁₆	—	52	1	no	—
1611	SD₁₆	—	52	1	no	—
1612	D₈	—	2	2	no	—
1613	D₈	—	2	2	no	—
1614	D₈	—	4	1	no	—
1615	D₈	—	4	1	no	—
1616	D₈	—	26	2	no	—
1617	D₈	—	26	2	no	—
1618	D₈	—	26	2	no	—
1619	D₈	—	26	2	no	—
1620	D₈	—	52	1	no	—
1621	D₈	—	52	1	no	—
1622	D₈	—	52	1	no	—
1623	D₈	—	52	1	no	—
1624	M₁₆	—	4	1	no	—
1625	M₁₆	—	4	1	no	—
1626	M₁₆	—	52	1	no	—
1627	M₁₆	—	52	1	no	—
1628	C₂×C₈	—	13	1	no	—
1629	C₂×C₈	—	13	1	no	—
1630	C₂×C₈	—	13	1	no	—
1631	C₂×C₈	—	13	1	no	—
1632	C₂×C₈	—	52	1	no	—
1633	C₂×C₈	—	52	1	no	—
1634	C₂×C₈	—	52	1	no	—
1635	C₂×C₈	—	52	1	no	—
1636	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1637	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1638	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1639	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1640	C₄⋊C₄	—	2	1	no	—
1641	C₄⋊C₄	—	2	1	no	—
1642	C₄⋊C₄	—	13	1	no	—
1643	C₄⋊C₄	—	13	1	no	—
1644	C₄⋊C₄	—	13	1	no	—
1645	C₄⋊C₄	—	13	1	no	—
1646	C₄⋊C₄	—	13	1	no	—
1647	C₄⋊C₄	—	13	1	no	—
1648	C₄⋊C₄	—	13	1	no	—
1649	C₄⋊C₄	—	26	1	no	—
1650	C₄⋊C₄	—	26	1	no	—
1651	C₄⋊C₄	—	26	1	no	—
1652	C₄⋊C₄	—	26	1	no	—
1653	C₄⋊C₄	—	26	1	no	—
1654	C₄⋊C₄	—	26	1	no	—
1655	C₄⋊C₄	—	26	1	no	—
1656	C₄⋊C₄	—	26	1	no	—
1657	C₄⋊C₄	—	26	1	no	—
1658	C₄⋊C₄	—	26	1	no	—
1659	C₄⋊C₄	—	26	1	no	—
1660	C₄⋊C₄	—	26	1	no	—
1661	C₄⋊C₄	—	26	1	no	—
1662	C₄⋊C₄	—	26	1	no	—
1663	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1664	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1665	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	2	1	no	—
1676	C₂²⋊C₄	—	13	1	no	—
1677	C₂²⋊C₄	—	13	1	no	—
1678	C₂²⋊C₄	—	13	1	no	—
1679	C₂²⋊C₄	—	13	1	no	—
1680	C₂²⋊C₄	—	13	1	no	—
1681	C₂²⋊C₄	—	13	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	—	26	1	no	—
1688	C₂²⋊C₄	—	26	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	—	26	1	no	—
1693	C₂²⋊C₄	—	26	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	—	26	1	no	—
1696	C₂²⋊C₄	—	26	1	no	—
1697	C₂²⋊C₄	—	26	1	no	—
1698	C₂²⋊C₄	—	26	1	no	—
1699	C₂²⋊C₄	—	26	1	no	—
1700	C₂²⋊C₄	—	26	1	no	—
1701	C₂²⋊C₄	—	26	1	no	—
1702	C₂²⋊C₄	—	26	1	no	—
1703	C₂²⋊C₄	—	26	1	no	—
1704	C₂²⋊C₄	—	26	1	no	—
1705	C₂²⋊C₄	—	26	1	no	—
1706	C₂²⋊C₄	—	26	1	no	—
1707	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1708	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1709	C₄²	—	13	1	no	—
1710	C₄²	—	13	1	no	—
1711	C₄²	—	13	1	no	—
1712	C₄²	—	26	1	no	—
1713	C₄²	—	26	1	no	—
1714	C₄²	—	26	1	no	—
1715	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1716	C₁₃	#61657	1	1	yes	characteristic, complemented, Sylow
1717	C₂³	—	2	1	no	—
1718	C₂³	—	2	1	no	—
1719	C₂³	—	2	1	no	—
1720	C₂³	—	2	1	no	—
1721	C₂³	—	4	2	no	—
1722	C₂³	—	8	1	no	—
1723	C₂³	—	8	1	no	—
1724	C₂³	—	8	1	no	—
1725	C₂³	—	8	1	no	—
1726	C₂³	—	8	1	no	—
1727	C₂³	—	13	1	no	—
1728	C₂³	—	13	1	no	—
1729	C₂³	—	13	1	no	—
1730	C₂³	—	26	4	no	—
1731	C₂³	—	26	1	no	—
1732	C₂³	—	26	1	no	—
1733	C₂³	—	26	1	no	—
1734	C₂³	—	52	2	no	—
1735	C₂³	—	52	2	no	—
1736	C₂³	—	52	2	no	—
1737	C₂³	—	104	1	no	—
1738	C₂³	—	104	1	no	—
1739	C₂³	—	104	1	no	—
1740	C₂³	—	104	1	no	—
1741	C₂³	—	104	1	no	—
1742	C₂³	—	104	1	no	—
1743	C₂³	—	104	1	no	—
1744	C₂³	—	104	1	no	—
1745	C₂³	—	104	1	no	—
1746	C₂³	—	104	1	no	—
1747	C₂³	—	104	1	no	—
1748	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1749	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1750	Q₈	—	2	1	no	—
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	26	1	no	—
1755	Q₈	—	26	1	no	—
1756	Q₈	—	52	1	no	—
1757	Q₈	—	52	1	no	—
1758	Q₈	—	52	2	no	—
1759	D₄	—	2	1	no	—
1760	D₄	—	2	1	no	—
1761	D₄	—	2	1	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	2	1	no	—
1765	D₄	—	2	1	no	—
1766	D₄	—	4	1	no	—
1767	D₄	—	4	2	no	—
1768	D₄	—	4	2	no	—
1769	D₄	—	8	1	no	—
1770	D₄	—	8	1	no	—
1771	D₄	—	8	1	no	—
1772	D₄	—	8	1	no	—
1773	D₄	—	13	2	no	—
1774	D₄	—	26	2	no	—
1775	D₄	—	26	2	no	—
1776	D₄	—	26	4	no	—
1777	D₄	—	26	1	no	—
1778	D₄	—	26	1	no	—
1779	D₄	—	26	1	no	—
1780	D₄	—	26	1	no	—
1781	D₄	—	26	1	no	—
1782	D₄	—	52	1	no	—
1783	D₄	—	52	1	no	—
1784	D₄	—	52	1	no	—
1785	D₄	—	52	2	no	—
1786	D₄	—	52	2	no	—
1787	D₄	—	52	2	no	—
1788	D₄	—	52	2	no	—
1789	D₄	—	52	2	no	—
1790	D₄	—	52	1	no	—
1791	D₄	—	52	1	no	—
1792	D₄	—	52	1	no	—
1793	D₄	—	52	1	no	—
1794	D₄	—	52	2	no	—
1795	D₄	—	52	2	no	—
1796	D₄	—	52	2	no	—
1797	D₄	—	52	2	no	—
1798	D₄	—	52	2	no	—
1799	D₄	—	104	1	no	—
1800	D₄	—	104	1	no	—
1801	D₄	—	104	1	no	—
1802	D₄	—	104	1	no	—
1803	D₄	—	104	1	no	—
1804	D₄	—	104	1	no	—
1805	D₄	—	104	1	no	—
1806	D₄	—	104	1	no	—
1807	D₄	—	104	1	no	—
1808	D₄	—	104	1	no	—
1809	D₄	—	104	1	no	—
1810	D₄	—	104	1	no	—
1811	D₄	—	104	1	no	—
1812	D₄	—	104	1	no	—
1813	D₄	—	104	1	no	—
1814	D₄	#88251	1	2	yes	—
1815	C₂×C₄	—	2	1	no	—
1816	C₂×C₄	—	2	1	no	—
1817	C₂×C₄	—	2	1	no	—
1818	C₂×C₄	—	2	1	no	—
1819	C₂×C₄	—	2	1	no	—
1820	C₂×C₄	—	2	1	no	—
1821	C₂×C₄	—	2	1	no	—
1822	C₂×C₄	—	2	1	no	—
1823	C₂×C₄	—	4	2	no	—
1824	C₂×C₄	—	8	1	no	—
1825	C₂×C₄	—	8	1	no	—
1826	C₂×C₄	—	8	1	no	—
1827	C₂×C₄	—	13	1	no	—
1828	C₂×C₄	—	13	1	no	—
1829	C₂×C₄	—	13	1	no	—
1830	C₂×C₄	—	13	1	no	—
1831	C₂×C₄	—	13	1	no	—
1832	C₂×C₄	—	26	2	no	—
1833	C₂×C₄	—	26	1	no	—
1834	C₂×C₄	—	26	1	no	—
1835	C₂×C₄	—	26	1	no	—
1836	C₂×C₄	—	26	1	no	—
1837	C₂×C₄	—	26	1	no	—
1838	C₂×C₄	—	26	1	no	—
1839	C₂×C₄	—	26	1	no	—
1840	C₂×C₄	—	26	1	no	—
1841	C₂×C₄	—	26	1	no	—
1842	C₂×C₄	—	26	1	no	—
1843	C₂×C₄	—	26	1	no	—
1844	C₂×C₄	—	52	1	no	—
1845	C₂×C₄	—	52	2	no	—
1846	C₂×C₄	—	52	2	no	—
1847	C₂×C₄	—	52	2	no	—
1848	C₂×C₄	—	52	2	no	—
1849	C₂×C₄	—	52	2	no	—
1850	C₂×C₄	—	52	2	no	—
1851	C₂×C₄	—	52	2	no	—
1852	C₂×C₄	—	52	2	no	—
1853	C₂×C₄	—	104	1	no	—
1854	C₂×C₄	—	104	1	no	—
1855	C₂×C₄	—	104	1	no	—
1856	C₂×C₄	—	104	1	no	—
1857	C₂×C₄	—	104	1	no	—
1858	C₂×C₄	—	104	1	no	—
1859	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1860	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1861	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1862	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1863	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1864	C₈	—	2	1	no	—
1865	C₈	—	2	1	no	—
1866	C₈	—	2	1	no	—
1867	C₈	—	2	1	no	—
1868	C₈	—	26	1	no	—
1869	C₈	—	26	1	no	—
1870	C₈	—	26	1	no	—
1871	C₈	—	26	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	2	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	4	1	no	—
1882	C₂²	—	4	1	no	—
1883	C₂²	—	4	1	no	—
1884	C₂²	—	4	1	no	—
1885	C₂²	—	4	1	no	—
1886	C₂²	—	4	1	no	—
1887	C₂²	—	4	1	no	—
1888	C₂²	—	4	1	no	—
1889	C₂²	—	4	1	no	—
1890	C₂²	—	16	2	no	—
1891	C₂²	—	16	2	no	—
1892	C₂²	—	26	1	no	—
1893	C₂²	—	26	1	no	—
1894	C₂²	—	26	1	no	—
1895	C₂²	—	26	2	no	—
1896	C₂²	—	26	1	no	—
1897	C₂²	—	26	1	no	—
1898	C₂²	—	26	1	no	—
1899	C₂²	—	26	1	no	—
1900	C₂²	—	26	1	no	—
1901	C₂²	—	26	1	no	—
1902	C₂²	—	52	1	no	—
1903	C₂²	—	52	1	no	—
1904	C₂²	—	52	1	no	—
1905	C₂²	—	52	1	no	—
1906	C₂²	—	52	1	no	—
1907	C₂²	—	52	1	no	—
1908	C₂²	—	52	1	no	—
1909	C₂²	—	52	1	no	—
1910	C₂²	—	104	4	no	—
1911	C₂²	—	208	2	no	—
1912	C₂²	—	208	2	no	—
1913	C₂²	—	208	2	no	—
1914	C₂²	—	208	2	no	—
1915	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1916	C₄	—	2	1	no	—
1917	C₄	—	2	1	no	—
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	4	1	no	—
1921	C₄	—	4	1	no	—
1922	C₄	—	4	1	no	—
1923	C₄	—	4	1	no	—
1924	C₄	—	13	2	no	—
1925	C₄	—	26	1	no	—
1926	C₄	—	26	1	no	—
1927	C₄	—	26	1	no	—
1928	C₄	—	26	1	no	—
1929	C₄	—	52	1	no	—
1930	C₄	—	52	1	no	—
1931	C₄	—	52	1	no	—
1932	C₄	—	52	1	no	—
1933	C₄	—	52	1	no	—
1934	C₄	C₂×#88251	1	1	yes	characteristic
1935	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1936	C₂	—	4	1	no	—
1937	C₂	—	4	1	no	—
1938	C₂	—	4	2	no	—
1939	C₂	—	8	1	no	—
1940	C₂	—	8	1	no	—
1941	C₂	—	8	1	no	—
1942	C₂	—	52	1	no	—
1943	C₂	—	52	1	no	—
1944	C₂	—	52	1	no	—
1945	C₂	—	52	2	no	—
1946	C₂	—	104	1	no	—
1947	C₂	—	104	1	no	—
1948	C₂	#13128464	1	1	yes	characteristic
1949	C₂	D₁₃×#576	1	1	yes	characteristic
1950	C₂	#13129609	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×#3273	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3273	D₁₃
hypocenter	C₁₃	#61657
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3273

Complements

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

N	H ≅ G/N	type
1. #13129200	C₂	semidirect
2. #13128596	C₂	semidirect
3. #13127136	C₂	semidirect
4. #13127062	C₂	semidirect
5. #13127044	C₂	semidirect
6. #13127039	C₂	semidirect
7. #13126746	C₂	semidirect
8. #13126691	C₂	semidirect
9. #13126686	C₂	semidirect
10. #13126642	C₂	semidirect
11. #13126559	C₂	semidirect
12. #13126520	C₂	semidirect
13. #13126517	C₂	semidirect
14. #13126506	C₂	semidirect
15. #13126450	C₂	semidirect
16. #13126442	C₂	semidirect
17. #13126430	C₂	semidirect
18. #13125807	C₂	semidirect
19. #13125768	C₂	semidirect
20. #13125737	C₂	semidirect
21. #13125734	C₂	semidirect
22. #13125689	C₂	semidirect
23. #13125684	C₂	semidirect
24. #13124882	C₂	semidirect
25. #13124834	C₂	semidirect
26. #13124144	C₂	semidirect
27. #13124139	C₂	semidirect
28. #13124103	C₂	semidirect
29. #13124099	C₂	semidirect
30. #13123901	C₂	semidirect
31. C₁₃×#3273	C₂	semidirect
32. C₂×#88256	C₂²	semidirect
33. C₂×#88251	C₂²	semidirect
34. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
36. C₁₃×#546	C₂²	semidirect
37. C₁₃×#546	C₂²	semidirect
38. #11719539	C₂²	semidirect
39. #11719538	C₂²	semidirect
41. C₂×#88204	C₂²	semidirect
42. #11719510	C₂²	semidirect
43. D₄×C₂²⋊D₁₃	C₂²	semidirect
44. D₄×C₂²⋊D₁₃	C₂²	semidirect
45. C₂²×#6104	C₂²	semidirect
46. C₂×#88173	C₂²	semidirect
47. C₂×#88168	C₂²	semidirect
48. C₂×#88165	C₂²	semidirect
49. C₂×D₈×D₁₃	C₂²	semidirect
50. #11719385	C₂²	semidirect
51. #11719381	C₂²	semidirect
52. #11719381	C₂²	semidirect
53. #11719373	C₂²	semidirect
58. #11719346	C₂²	semidirect
59. #11719336	C₂²	semidirect
60. #11719334	C₂²	semidirect
61. #11719334	C₂²	semidirect
63. #11719316	C₂²	semidirect
66. #11719313	C₂²	semidirect
67. #11719312	C₂²	semidirect
74. #11719270	C₂²	semidirect
75. #11719263	C₂²	semidirect
76. #11719259	C₂²	semidirect
77. #11719255	C₂²	semidirect
79. #11719253	C₂²	semidirect
80. C₄×D₄×D₁₃	C₂²	semidirect
85. C₁₃×#495	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#468	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
91. C₁₃×#452	C₂²	semidirect
92. C₁₃×#447	C₂²	semidirect
93. C₁₃×#447	C₂²	semidirect
94. C₄×C₁₃×D₈	C₂²	semidirect
95. C₁₃×#436	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718899	C₂²	semidirect
98. #11718894	C₂²	semidirect
99. #11718879	C₂²	semidirect
100. #11718878	C₂²	semidirect
101. C₂×#88072	C₂²	semidirect
102. #11718849	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718843	C₂²	semidirect
105. #11718836	C₂²	semidirect
106. #11718835	C₂²	semidirect
107. #11718834	C₂²	semidirect
108. #11718834	C₂²	semidirect
109. #11718833	C₂²	semidirect
110. #11718833	C₂²	semidirect
111. #11718833	C₂²	semidirect
112. #11718833	C₂²	semidirect
113. #11718833	C₂²	semidirect
114. #11718830	C₂²	semidirect
115. #11718830	C₂²	semidirect
116. #11718830	C₂²	semidirect
117. #11718824	C₂²	semidirect
118. #11718823	C₂²	semidirect
119. SD₁₆×Dic₁₃	C₂²	semidirect
120. #11718820	C₂²	semidirect
121. #11718819	C₂²	semidirect
122. #11718819	C₂²	semidirect
123. #11718819	C₂²	semidirect
124. #11718818	C₂²	semidirect
126. #11718817	C₂²	semidirect
127. #11718817	C₂²	semidirect
128. #11718817	C₂²	semidirect
129. #11718817	C₂²	semidirect
130. #11718812	C₂²	semidirect
131. #11718811	C₂²	semidirect
132. #11718811	C₂²	semidirect
133. D₈×Dic₁₃	C₂²	semidirect
134. #11718796	C₂²	semidirect
135. #11718795	C₂²	semidirect
136. #11718794	C₂²	semidirect
137. #11718792	C₂²	semidirect
138. #11718790	C₂²	semidirect
139. #11718790	C₂²	semidirect
140. #11718789	C₂²	semidirect
141. #11718789	C₂²	semidirect
142. #11718720	C₂²	semidirect
143. #11718718	C₂²	semidirect
144. #11718718	C₂²	semidirect
145. #11718717	C₂²	semidirect
146. #11718712	C₂²	semidirect
147. #11718709	C₂²	semidirect
148. #11718707	C₂²	semidirect
149. #11718705	C₂²	semidirect
150. #11718699	C₂²	semidirect
151. #11718699	C₂²	semidirect
152. #11718698	C₂²	semidirect
153. #11718696	C₂²	semidirect
154. #11718677	C₂²	semidirect
155. C₄×#6104	C₂²	semidirect
156. C₄×#6104	C₂²	semidirect
157. D₄×#1055	C₂²	semidirect
158. #11718670	C₂²	semidirect
159. #11718551	C₂²	semidirect
160. #11718546	C₂²	semidirect
161. #11718545	C₂²	semidirect
162. #11718543	C₂²	semidirect
163. #11718508	C₂²	semidirect
164. #11718505	C₂²	semidirect
165. #11718499	C₂²	semidirect
166. #11718494	C₂²	semidirect
167. #11718476	C₂²	semidirect
168. #11718473	C₂²	semidirect
169. #11718472	C₂²	semidirect
170. #11718471	C₂²	semidirect
171. #11718470	C₂²	semidirect
172. #11718464	C₂²	semidirect
173. #11718453	C₂²	semidirect
174. #11718449	C₂²	semidirect
175. #11718447	C₂²	semidirect
176. #11718442	C₂²	semidirect
177. #11718441	C₂²	semidirect
178. #11718439	C₂²	semidirect
179. #11718438	C₂²	semidirect
180. #11718436	C₂²	semidirect
181. #11718435	C₂²	semidirect
182. #11718435	C₂²	semidirect
183. #11718434	C₂²	semidirect
184. #11718434	C₂²	semidirect
185. #11718433	C₂²	semidirect
186. #11718431	C₂²	semidirect
187. D₁₃×#102	C₂²	semidirect
188. #11718421	C₂²	semidirect
189. #11718420	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718397	C₂²	semidirect
192. #11718395	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718388	C₂²	semidirect
195. #11718388	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. #11718386	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. C₈×D₅₂	C₂²	semidirect
202. #11718346	C₂²	semidirect
758. #3273	D₁₃	semidirect
932. C₂×AGL(1,ℤ/8)	C₂×D₁₃	semidirect
933. C₂×AGL(1,ℤ/8)	C₂×D₁₃	semidirect
956. #546	C₂×D₁₃	semidirect
957. #546	C₂×D₁₃	semidirect
982. #495	C₂×D₁₃	semidirect
1011. #468	C₂×D₁₃	semidirect
1012. #468	C₂×D₁₃	semidirect
1025. #463	C₂×D₁₃	semidirect
1026. #463	C₂×D₁₃	semidirect
1037. #452	C₂×D₁₃	semidirect
1038. #452	C₂×D₁₃	semidirect
1067. #447	C₂×D₁₃	semidirect
1068. #447	C₂×D₁₃	semidirect
1076. C₄×D₈	C₂×D₁₃	semidirect
1080. #436	C₂×D₁₃	semidirect
1716. C₁₃	#61657	semidirect

Maximal subgroups

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

subgroup	index
#13129200	2
#13128596	2
#13127136	2
#13127062	2
#13127044	2
#13127039	2
#13126746	2
#13126691	2
#13126686	2
#13126642	2
#13126559	2
#13126520	2
#13126517	2
#13126506	2
#13126450	2
#13126442	2
#13126430	2
#13125807	2
#13125768	2
#13125737	2
#13125734	2
#13125689	2
#13125684	2
#13124882	2
#13124834	2
#13124144	2
#13124139	2
#13124103	2
#13124099	2
#13123901	2
C₁₃×#3273	2
#61657	13