Subgroups — #16732006

Order 3328.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128741	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128040	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125118	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125115	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125110	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125107	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125027	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125020	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125019	C₂	1	1	yes	maximal, characteristic, complemented
10	#13124994	C₂	1	1	yes	maximal, characteristic, complemented
11	#13124993	C₂	1	1	yes	maximal, characteristic, complemented
12	#13124925	C₂	1	1	yes	maximal, characteristic, complemented
13	#13124922	C₂	1	1	yes	maximal, characteristic, complemented
14	#13124892	C₂	1	1	yes	maximal, characteristic, complemented
15	#13124891	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124842	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124839	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124828	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124822	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124644	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#476	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124298	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124288	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124141	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124135	C₂	1	1	yes	maximal, characteristic, complemented
26	#13123718	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123714	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123667	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123661	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123499	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88251	C₂²	1	1	yes	characteristic
33	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#518	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
36	C₂×#88170	C₂²	1	1	yes	characteristic
37	C₂×#88168	C₂²	1	1	yes	characteristic
38	C₂×#88166	C₂²	1	1	yes	characteristic
39	C₂×#88165	C₂²	1	1	yes	characteristic
40	#11719438	C₂²	1	1	yes	characteristic, complemented
41	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	#11719414	—	2	1	no	—
43	#11719407	—	2	1	no	—
44	#11719387	C₂²	1	1	yes	characteristic, complemented
45	#11719382	—	2	1	no	—
46	#11719375	—	2	1	no	—
47	#11719373	C₂²	1	1	yes	characteristic, complemented
48	#11719366	—	2	1	no	—
49	#11719360	—	2	1	no	—
50	#11719341	—	2	1	no	—
51	#11719338	—	2	1	no	—
52	#11719334	C₂²	1	1	yes	characteristic
53	#11719327	C₂²	1	1	yes	characteristic, complemented
54	#11719313	C₂²	1	1	yes	characteristic
55	#11719301	C₂²	1	1	yes	characteristic, complemented
56	#11719283	C₂²	1	1	yes	characteristic, complemented
57	#11719279	C₂²	1	1	yes	characteristic, complemented
58	#11719253	C₂²	1	1	yes	characteristic, complemented
59	#11719251	—	2	1	no	—
60	#11719251	C₂²	1	1	yes	characteristic
61	#11719251	C₂²	1	1	yes	characteristic
62	#11719251	C₂²	1	1	yes	characteristic, complemented
63	#11719250	—	2	1	no	—
64	#11719250	C₂²	1	1	yes	characteristic
65	#11719250	C₂²	1	1	yes	characteristic
66	C₄×D₄×D₁₃	—	2	1	no	—
67	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
68	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
69	C₄×#6129	—	2	1	no	—
70	C₄×#6129	C₂²	1	1	yes	characteristic
71	C₄×#6129	C₂²	1	1	yes	characteristic
72	#11719239	C₂²	1	1	yes	characteristic, complemented
73	#11719228	C₂²	1	1	yes	characteristic
74	#11719228	C₂²	1	1	yes	characteristic
75	#11719227	C₂²	1	1	yes	characteristic
76	#11719227	C₂²	1	1	yes	characteristic
77	#11719191	—	2	1	no	—
78	#11719191	—	2	1	no	—
79	C₂×#88135	—	2	1	no	—
80	C₂×#88135	—	2	1	no	—
81	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#450	C₂²	1	1	yes	characteristic
88	C₁₃×#447	C₂²	1	1	yes	characteristic
89	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
94	#11718879	C₂²	1	1	yes	characteristic
95	#11718878	C₂²	1	1	yes	characteristic
96	#11718834	C₂²	1	1	yes	characteristic
97	#11718830	C₂²	1	1	yes	characteristic
98	#11718823	C₂²	1	1	yes	characteristic, complemented
99	#11718823	C₂²	1	1	yes	characteristic, complemented
100	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
102	#11718819	C₂²	1	1	yes	characteristic
103	#11718817	C₂²	1	1	yes	characteristic
104	#11718813	C₂²	1	1	yes	characteristic, complemented
105	#11718813	C₂²	1	1	yes	characteristic, complemented
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	#11718755	C₂²	1	1	yes	characteristic, complemented
109	#11718745	C₂²	1	1	yes	characteristic, complemented
110	#11718718	C₂²	1	1	yes	characteristic, complemented
111	#11718715	C₂²	1	1	yes	characteristic, complemented
112	#11718708	C₂²	1	1	yes	characteristic
113	#11718704	C₂²	1	1	yes	characteristic, complemented
114	#11718698	C₂²	1	1	yes	characteristic
115	#11718695	C₂²	1	1	yes	characteristic, complemented
116	#11718691	C₂²	1	1	yes	characteristic, complemented
117	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
118	#11718679	C₂²	1	1	yes	characteristic, complemented
119	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
120	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
121	#11718677	C₂²	1	1	yes	characteristic, complemented
122	#11718677	C₂²	1	1	yes	characteristic, complemented
123	#11718675	C₂²	1	1	yes	characteristic, complemented
124	#11718675	C₂²	1	1	yes	characteristic, complemented
125	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
126	#11718669	C₂²	1	1	yes	characteristic, complemented
127	#11718668	C₂²	1	1	yes	characteristic, complemented
128	#11718664	C₂²	1	1	yes	characteristic, complemented
129	#11718661	C₂²	1	1	yes	characteristic, complemented
130	#11718657	C₂²	1	1	yes	characteristic, complemented
131	#11718550	C₂²	1	1	yes	characteristic, complemented
132	#11718549	C₂²	1	1	yes	characteristic, complemented
133	#11718546	C₂²	1	1	yes	characteristic, complemented
134	#11718542	C₂²	1	1	yes	characteristic, complemented
135	#11718542	C₂²	1	1	yes	characteristic, complemented
136	#11718536	C₂²	1	1	yes	characteristic, complemented
137	#11718536	C₂²	1	1	yes	characteristic, complemented
138	#11718533	C₂²	1	1	yes	characteristic, complemented
139	#11718531	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718524	C₂²	1	1	yes	characteristic, complemented
142	#11718523	C₂²	1	1	yes	characteristic, complemented
143	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
144	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
145	#11718514	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718512	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718505	C₂²	1	1	yes	characteristic, complemented
150	#11718503	C₂²	1	1	yes	characteristic, complemented
151	#11718501	C₂²	1	1	yes	characteristic, complemented
152	#11718501	C₂²	1	1	yes	characteristic, complemented
153	#11718498	C₂²	1	1	yes	characteristic, complemented
154	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#11718479	C₂²	1	1	yes	characteristic, complemented
156	#11718478	C₂²	1	1	yes	characteristic, complemented
157	#11718476	C₂²	1	1	yes	characteristic, complemented
158	#11718466	C₂²	1	1	yes	characteristic, complemented
159	#11718465	C₂²	1	1	yes	characteristic, complemented
160	#11718464	C₂²	1	1	yes	characteristic, complemented
161	#11718454	C₂²	1	1	yes	characteristic, complemented
162	#11718450	C₂²	1	1	yes	characteristic, complemented
163	#11718447	C₂²	1	1	yes	characteristic, complemented
164	#11718446	C₂²	1	1	yes	characteristic, complemented
165	#11718446	C₂²	1	1	yes	characteristic, complemented
166	#11718444	C₂²	1	1	yes	characteristic
167	#11718442	C₂²	1	1	yes	characteristic
168	#11718440	C₂²	1	1	yes	characteristic, complemented
169	#11718438	C₂²	1	1	yes	characteristic, complemented
170	#11718437	C₂²	1	1	yes	characteristic
171	#11718434	C₂²	1	1	yes	characteristic
172	#11718433	C₂²	1	1	yes	characteristic, complemented
173	#11718432	C₂²	1	1	yes	characteristic
174	#11718432	C₂²	1	1	yes	characteristic
175	#11718432	C₂²	1	1	yes	characteristic, complemented
176	D₁₃×#102	C₂²	1	1	yes	characteristic
177	D₁₃×#102	C₂²	1	1	yes	characteristic
178	#11718423	C₂²	1	1	yes	characteristic, complemented
179	#11718422	C₂²	1	1	yes	characteristic, complemented
180	#11718422	C₂²	1	1	yes	characteristic, complemented
181	#11718422	C₂²	1	1	yes	characteristic, complemented
182	#11718422	C₂²	1	1	yes	characteristic, complemented
183	#11718419	C₂²	1	1	yes	characteristic, complemented
184	#11718419	C₂²	1	1	yes	characteristic, complemented
185	#11718419	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718396	C₂²	1	1	yes	characteristic, complemented
188	#11718395	C₂²	1	1	yes	characteristic
189	#11718394	C₂²	1	1	yes	characteristic
190	#11718388	C₂²	1	1	yes	characteristic
191	#11718388	C₂²	1	1	yes	characteristic
192	#11718382	C₂²	1	1	yes	characteristic, complemented
193	#11718380	C₂²	1	1	yes	characteristic, complemented
194	#11718379	C₂²	1	1	yes	characteristic, complemented
195	#11718377	C₂²	1	1	yes	characteristic, complemented
196	#11718372	C₂²	1	1	yes	characteristic, complemented
197	#11718369	C₂²	1	1	yes	characteristic, complemented
198	#11718366	C₂²	1	1	yes	characteristic, complemented
199	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718350	C₂²	1	1	yes	characteristic, complemented
202	#11718346	C₂²	1	1	yes	characteristic, complemented
203	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₂²⋊D₁₃	—	2	1	no	—
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂³×Dic₁₃	—	2	1	no	—
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	—	2	1	no	—
209	#88251	—	2	4	no	—
210	#88251	—	2	4	no	—
211	C₂×#6129	—	2	1	no	—
212	C₂×#6129	—	2	1	no	—
213	C₂×#6129	C₂³	1	1	yes	characteristic
214	C₂×#6129	C₂³	1	1	yes	characteristic
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×#6127	—	2	1	no	—
220	C₂×#6127	C₂³	1	1	yes	characteristic
221	C₂×#6127	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₁₃	—	2	1	no	—
223	C₂²×C₄×D₁₃	—	2	1	no	—
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×#126	—	2	1	no	—
230	C₁₃×#124	—	2	1	no	—
231	C₁₃×#124	C₂³	1	1	yes	characteristic
232	C₁₃×#123	—	2	1	no	—
233	C₁₃×C₂²⋊Q₈	—	2	1	no	—
234	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₁₃×#117	C₂³	1	1	yes	characteristic
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
247	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
249	#88201	—	2	1	no	—
250	#88200	—	2	1	no	—
251	#88200	C₂³	1	1	yes	characteristic
252	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
253	#88198	—	2	1	no	—
254	#88198	C₂³	1	1	yes	characteristic
255	C₂×#6107	C₂³	1	1	yes	characteristic
256	C₂×#6106	C₂³	1	1	yes	characteristic
257	#88194	C₂³	1	1	yes	characteristic
258	#88193	—	2	1	no	—
259	#88193	—	2	1	no	—
260	#88192	—	2	1	no	—
261	#88192	C₂³	1	1	yes	characteristic
262	D₄×Dic₁₃	—	2	1	no	—
263	D₄×Dic₁₃	—	2	1	no	—
264	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×#6105	C₂³	1	1	yes	characteristic
270	C₂×#6105	C₂³	1	1	yes	characteristic
271	C₂×#6105	C₂³	1	1	yes	characteristic
272	C₂×#6104	C₂³	1	1	yes	characteristic
273	C₂×#6104	C₂³	1	1	yes	characteristic
274	C₂×#6104	C₂³	1	1	yes	characteristic
275	#88184	C₂³	1	1	yes	characteristic
276	C₄×C₂²⋊D₁₃	—	2	1	no	—
277	C₄×C₂²⋊D₁₃	—	2	1	no	—
278	C₄×C₂²⋊D₁₃	—	2	1	no	—
279	C₄×C₂²⋊D₁₃	—	2	1	no	—
280	C₄×C₂²⋊D₁₃	—	2	1	no	—
281	C₄×C₂²⋊D₁₃	—	2	1	no	—
282	C₄×C₂²⋊D₁₃	—	2	1	no	—
283	C₄×C₂²⋊D₁₃	—	2	1	no	—
284	C₄×C₂²⋊D₁₃	—	2	1	no	—
285	C₄×C₂²⋊D₁₃	—	2	1	no	—
286	C₂×#6103	—	2	1	no	—
287	C₂×#6103	—	2	1	no	—
288	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	#88178	C₂³	1	1	yes	characteristic
290	C₂×#6101	—	2	1	no	—
291	C₂×#6101	—	2	1	no	—
292	C₂×#6101	—	2	1	no	—
293	C₂×C₄×Dic₁₃	—	2	1	no	—
294	C₂×C₄×Dic₁₃	—	2	1	no	—
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	#88170	—	2	4	no	—
297	#88168	—	2	4	no	—
298	#88166	—	2	4	no	—
299	#88165	—	2	4	no	—
300	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
301	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
302	C₂×#6095	C₂³	1	1	yes	characteristic
303	C₂×#6095	C₂³	1	1	yes	characteristic
304	C₂×#6094	C₂³	1	1	yes	characteristic
305	C₂×#6094	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
308	#88152	—	2	1	no	—
309	#88152	—	2	1	no	—
310	#88151	C₂³	1	1	yes	characteristic
311	#88150	—	2	1	no	—
312	#88150	—	2	1	no	—
313	#88150	—	2	1	no	—
314	#88149	—	2	1	no	—
315	#88149	C₂³	1	1	yes	characteristic
316	#88148	—	2	1	no	—
317	#88147	—	2	1	no	—
318	#88147	D₄	1	1	yes	characteristic
319	#88147	D₄	1	1	yes	characteristic
320	#88147	C₂³	1	1	yes	characteristic
321	#88147	C₂³	1	1	yes	characteristic
322	#88147	C₂³	1	1	yes	characteristic
323	#88146	—	2	1	no	—
324	#88146	C₂³	1	1	yes	characteristic
325	#88146	C₂³	1	1	yes	characteristic
326	C₄⋊C₄×D₁₃	—	2	1	no	—
327	C₄⋊C₄×D₁₃	—	2	1	no	—
328	C₄⋊C₄×D₁₃	—	2	1	no	—
329	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
330	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
331	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
333	#88143	—	2	1	no	—
334	#88143	—	2	1	no	—
335	#88142	—	2	1	no	—
336	#88142	C₂³	1	1	yes	characteristic
337	#88142	C₂³	1	1	yes	characteristic
338	#88141	—	2	1	no	—
339	#88141	D₄	1	1	yes	characteristic
340	#88141	D₄	1	1	yes	characteristic
341	#88141	C₂³	1	1	yes	characteristic
342	#88141	C₂³	1	1	yes	characteristic
343	#88141	C₂³	1	1	yes	characteristic
344	#88140	—	2	1	no	—
345	#88139	—	2	1	no	—
346	#88139	—	2	1	no	—
347	#88139	—	2	1	no	—
348	#88139	—	2	1	no	—
349	#88138	—	2	1	no	—
350	#88138	—	2	1	no	—
351	#88138	—	2	1	no	—
352	#88138	—	2	1	no	—
353	#88138	—	2	1	no	—
354	#88138	—	2	1	no	—
355	#88137	—	2	1	no	—
356	#88135	—	2	1	no	—
357	#88135	—	2	1	no	—
358	#88135	—	2	1	no	—
359	#88135	—	2	1	no	—
360	#88135	—	2	1	no	—
361	#88135	—	2	1	no	—
362	#88135	—	2	1	no	—
363	#88135	—	2	1	no	—
364	#88135	—	2	1	no	—
365	#88135	—	2	1	no	—
366	#88135	—	2	1	no	—
367	#88135	—	2	1	no	—
368	#88135	—	2	1	no	—
369	#88135	—	2	1	no	—
370	#88135	—	2	1	no	—
371	#88135	—	2	1	no	—
372	#88135	—	2	1	no	—
373	#88135	—	2	1	no	—
374	#88135	D₄	1	1	yes	characteristic
375	#88135	D₄	1	1	yes	characteristic
376	#88135	D₄	1	1	yes	characteristic
377	#88135	D₄	1	1	yes	characteristic
378	C₂²⋊C₄×D₁₃	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	C₂²⋊C₄×D₁₃	—	2	1	no	—
382	#88133	—	2	1	no	—
383	#88132	—	2	1	no	—
384	#88132	—	2	1	no	—
385	#88132	—	2	1	no	—
386	#88131	—	2	1	no	—
387	#88131	—	2	1	no	—
388	#88131	—	2	1	no	—
389	#88131	—	2	1	no	—
390	#88131	—	2	1	no	—
391	#88131	—	2	1	no	—
392	#88129	C₂³	1	1	yes	characteristic
393	C₄×D₅₂	—	2	1	no	—
394	C₄×D₅₂	—	2	1	no	—
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	C₄×D₅₂	C₂³	1	1	yes	characteristic
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	#88126	—	2	1	no	—
399	#88126	—	2	1	no	—
400	#88126	—	2	1	no	—
401	#88126	C₂³	1	1	yes	characteristic
402	#88126	C₂³	1	1	yes	characteristic
403	C₄²×D₁₃	—	2	1	no	—
404	C₄²×D₁₃	C₂³	1	1	yes	characteristic
405	C₄²×D₁₃	C₂³	1	1	yes	characteristic
406	#88123	C₂³	1	1	yes	characteristic
407	C₄×Dic₂₆	—	2	1	no	—
408	C₄×Dic₂₆	—	2	1	no	—
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₁₃×#102	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×#102	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×#97	C₂³	1	1	yes	characteristic
429	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	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	C₂²⋊#1055	C₂³	1	1	yes	characteristic
439	C₂²⋊#1055	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88061	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88061	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88057	C₂³	1	1	yes	characteristic
449	#88057	C₂³	1	1	yes	characteristic
450	#88057	C₂³	1	1	yes	characteristic
451	#88057	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88056	C₂³	1	1	yes	characteristic
454	#88056	C₂³	1	1	yes	characteristic
455	#88056	C₂³	1	1	yes	characteristic
456	#88055	C₂³	1	1	yes	characteristic
457	#88055	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	#88054	C₂³	1	1	yes	characteristic
460	#88054	C₂³	1	1	yes	characteristic
461	#88054	C₂³	1	1	yes	characteristic
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88050	C₂³	1	1	yes	characteristic
466	#88050	C₂³	1	1	yes	characteristic
467	#88050	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88048	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	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	C₄⋊#1055	C₂³	1	1	yes	characteristic
481	C₄⋊#1055	C₂³	1	1	yes	characteristic
482	#88043	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#60597	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂×D₄×C₁₃	—	2	2	no	—
491	C₂×D₄×C₁₃	—	2	2	no	—
492	C₂×D₄×C₁₃	—	2	1	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₁₃	—	2	1	no	—
498	C₂²×C₄×C₁₃	—	2	1	no	—
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	—	2	1	no	—
502	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×C₂²⋊D₁₃	—	2	8	no	—
504	C₂×C₂²⋊D₁₃	—	2	8	no	—
505	C₂×C₂²⋊D₁₃	—	2	1	no	—
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂²×Dic₁₃	—	2	1	no	—
518	C₂²×Dic₁₃	—	2	1	no	—
519	C₂²×Dic₁₃	—	2	1	no	—
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	—	2	1	no	—
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	8	2	no	—
527	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
529	#6131	—	2	2	no	—
530	#6131	—	2	2	no	—
531	Q₈×D₁₃	—	8	2	no	—
532	#6129	—	2	8	no	—
533	#6129	—	2	2	no	—
534	#6129	—	2	2	no	—
535	#6129	—	2	2	no	—
536	#6129	—	2	2	no	—
537	#6129	—	2	2	no	—
538	#6129	—	8	2	no	—
539	#6129	#41	1	4	yes	complemented
540	D₄×D₁₃	—	2	8	no	—
541	D₄×D₁₃	—	2	2	no	—
542	D₄×D₁₃	—	2	2	no	—
543	D₄×D₁₃	—	2	2	no	—
544	D₄×D₁₃	#41	1	4	yes	complemented
545	#6127	—	2	2	no	—
546	#6127	—	2	2	no	—
547	#6127	—	2	2	no	—
548	#6127	—	2	2	no	—
549	#6127	—	8	2	no	—
550	C₂×D₅₂	—	2	1	no	—
551	C₂×D₅₂	—	2	1	no	—
552	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
553	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
554	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	8	2	no	—
568	C₂×C₄×D₁₃	—	8	2	no	—
569	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
571	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₂₆	—	2	1	no	—
576	C₂×Dic₂₆	—	2	1	no	—
577	C₂×Dic₂₆	—	2	1	no	—
578	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
579	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
581	C₁₃×SD₁₆	—	2	2	no	—
582	C₁₃×SD₁₆	—	2	2	no	—
583	C₁₃×D₈	—	2	2	no	—
584	C₁₃×D₈	—	2	2	no	—
585	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	—	2	1	no	—
608	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₄²×C₁₃	—	2	1	no	—
611	C₄²×C₁₃	—	2	1	no	—
612	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	#6107	—	2	2	no	—
622	#6106	—	2	2	no	—
623	#6105	—	2	2	no	—
624	#6105	—	2	2	no	—
625	#6105	—	2	2	no	—
626	#6104	—	2	2	no	—
627	#6104	—	2	2	no	—
628	#6104	—	2	2	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	C₂×D₄	1	1	yes	characteristic
644	#6103	C₂×D₄	1	1	yes	characteristic
645	#6103	C₂×D₄	1	1	yes	characteristic
646	#6103	C₂×D₄	1	1	yes	characteristic
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	—	2	1	no	—
651	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	C₂×D₄	1	1	yes	characteristic
672	#6101	C₂×D₄	1	1	yes	characteristic
673	#6101	C₂×D₄	1	1	yes	characteristic
674	#6101	C₂×D₄	1	1	yes	characteristic
675	C₄×Dic₁₃	—	2	1	no	—
676	C₄×Dic₁₃	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	—	2	1	no	—
679	C₄×Dic₁₃	—	2	1	no	—
680	C₄×Dic₁₃	—	2	1	no	—
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	C₂×#1055	C₂⁴	1	1	yes	characteristic
694	C₂×#1055	C₂⁴	1	1	yes	characteristic
695	C₂×#1055	C₂⁴	1	1	yes	characteristic
696	Dic₅₂	—	2	2	no	—
697	D₁₀₄	—	2	2	no	—
698	#6095	—	2	2	no	—
699	#6095	—	2	2	no	—
700	#6094	—	2	2	no	—
701	#6094	—	2	2	no	—
702	C₈×D₁₃	—	2	2	no	—
703	C₈×D₁₃	—	2	2	no	—
704	#3511	—	13	1	no	—
705	C₄×H(5,𝔽₂)	—	13	1	no	—
706	#3125	—	13	1	no	—
707	#3125	—	13	1	no	—
708	#3125	—	13	1	no	—
709	#3125	—	13	1	no	—
710	#3118	—	13	1	no	—
711	#3118	—	13	1	no	—
712	#3118	—	13	1	no	—
713	#3118	D₁₃	1	1	yes	characteristic, complemented
714	#3116	—	13	1	no	—
715	#3116	—	13	1	no	—
716	#3109	—	13	1	no	—
717	#3109	—	13	1	no	—
718	#3106	—	13	1	no	—
719	#3106	—	13	1	no	—
720	#3101	—	13	1	no	—
721	#3101	—	13	1	no	—
722	#3099	—	13	1	no	—
723	#3099	—	13	1	no	—
724	#3079	—	13	1	no	—
725	C₂×#476	—	13	1	no	—
726	#3036	—	13	1	no	—
727	#3035	—	13	1	no	—
728	#3012	—	13	1	no	—
729	#3012	—	13	1	no	—
730	#2952	—	13	1	no	—
731	#2952	—	13	1	no	—
732	#2946	—	13	1	no	—
733	#2946	—	13	1	no	—
734	#2925	—	13	1	no	—
735	C₂³×C₁₃	—	2	4	no	—
736	C₂³×C₁₃	—	2	1	no	—
737	C₂³×C₁₃	—	2	1	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	—	8	1	no	—
740	C₂³×C₁₃	—	8	1	no	—
741	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
742	C₂²×D₁₃	—	2	1	no	—
743	C₂²×D₁₃	—	2	4	no	—
744	C₂²×D₁₃	—	2	4	no	—
745	C₂²×D₁₃	—	2	1	no	—
746	C₂²×D₁₃	—	8	1	no	—
747	C₂²×D₁₃	—	8	1	no	—
748	C₂²×D₁₃	—	8	1	no	—
749	C₂²×D₁₃	—	8	1	no	—
750	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
751	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
752	Q₈×C₁₃	—	2	1	no	—
753	Q₈×C₁₃	—	2	1	no	—
754	Q₈×C₁₃	—	8	1	no	—
755	D₄×C₁₃	—	2	4	no	—
756	D₄×C₁₃	—	2	1	no	—
757	D₄×C₁₃	—	2	1	no	—
758	D₄×C₁₃	—	2	1	no	—
759	D₄×C₁₃	—	2	1	no	—
760	D₄×C₁₃	—	8	1	no	—
761	D₄×C₁₃	C₂×#41	1	2	yes	—
762	D₄×C₁₃	C₂×#41	1	2	yes	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	8	1	no	—
771	C₂×C₄×C₁₃	—	8	1	no	—
772	C₂×C₄×C₁₃	—	8	1	no	—
773	C₂×C₄×C₁₃	—	8	1	no	—
774	C₂×C₄×C₁₃	—	8	1	no	—
775	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
781	C₂²⋊D₁₃	—	2	4	no	—
782	C₂²⋊D₁₃	—	2	4	no	—
783	C₂²⋊D₁₃	—	2	4	no	—
784	C₂²⋊D₁₃	—	2	2	no	—
785	C₂²⋊D₁₃	—	2	4	no	—
786	C₂²⋊D₁₃	—	2	2	no	—
787	C₂²⋊D₁₃	—	2	4	no	—
788	C₂²⋊D₁₃	—	4	2	no	—
789	C₂²⋊D₁₃	—	4	2	no	—
790	C₂²⋊D₁₃	—	4	2	no	—
791	C₂²⋊D₁₃	—	8	1	no	—
792	C₂²⋊D₁₃	—	8	1	no	—
793	C₂×Dic₁₃	—	2	4	no	—
794	C₂×Dic₁₃	—	2	1	no	—
795	C₂×Dic₁₃	—	2	4	no	—
796	C₂×Dic₁₃	—	2	2	no	—
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	1	no	—
801	C₂×Dic₁₃	—	2	1	no	—
802	C₂×Dic₁₃	—	4	1	no	—
803	C₂×Dic₁₃	—	4	2	no	—
804	C₂×Dic₁₃	—	4	2	no	—
805	C₂×Dic₁₃	—	4	2	no	—
806	C₂×Dic₁₃	—	8	1	no	—
807	C₂×Dic₁₃	—	8	1	no	—
808	C₂×Dic₁₃	—	8	1	no	—
809	C₂×Dic₁₃	—	8	1	no	—
810	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
816	D₅₂	—	2	2	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	2	1	no	—
820	D₅₂	—	4	2	no	—
821	D₅₂	—	8	1	no	—
822	D₅₂	C₂×#41	1	2	yes	—
823	C₄×D₁₃	—	2	4	no	—
824	C₄×D₁₃	—	2	1	no	—
825	C₄×D₁₃	—	2	1	no	—
826	C₄×D₁₃	—	2	2	no	—
827	C₄×D₁₃	—	2	2	no	—
828	C₄×D₁₃	—	4	1	no	—
829	C₄×D₁₃	—	4	1	no	—
830	C₄×D₁₃	—	4	2	no	—
831	C₄×D₁₃	—	4	2	no	—
832	C₄×D₁₃	—	8	1	no	—
833	C₄×D₁₃	—	8	1	no	—
834	C₄×D₁₃	—	8	1	no	—
835	C₄×D₁₃	—	8	1	no	—
836	C₄×D₁₃	—	8	1	no	—
837	C₄×D₁₃	—	8	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	C₄×D₁₃	—	8	1	no	—
840	C₄×D₁₃	—	8	1	no	—
841	C₄×D₁₃	C₂×#41	1	2	yes	—
842	C₄×D₁₃	C₂×#41	1	2	yes	—
843	Dic₂₆	—	2	1	no	—
844	Dic₂₆	—	2	2	no	—
845	Dic₂₆	—	2	1	no	—
846	Dic₂₆	—	2	1	no	—
847	Dic₂₆	—	4	2	no	—
848	Dic₂₆	—	4	2	no	—
849	Dic₂₆	—	8	1	no	—
850	Dic₂₆	C₂×#41	1	2	yes	—
851	C₈×C₁₃	—	2	1	no	—
852	C₈×C₁₃	—	2	1	no	—
853	C₈×C₁₃	—	2	1	no	—
854	C₈×C₁₃	—	2	1	no	—
855	#1055	—	2	1	no	—
856	#1055	—	2	1	no	—
857	#1055	—	2	1	no	—
858	#1055	—	2	1	no	—
859	C₂×H(5,𝔽₂)	—	13	1	no	—
860	C₂×AGL(1,ℤ/8)	—	13	1	no	—
861	C₂×AGL(1,ℤ/8)	—	13	1	no	—
862	C₂×#135	—	13	1	no	—
863	C₂×#135	—	13	1	no	—
864	#556	—	26	1	no	—
865	#555	—	26	1	no	—
866	#554	—	26	1	no	—
867	#553	—	26	1	no	—
868	#553	—	26	1	no	—
869	#548	—	26	1	no	—
870	#548	—	26	1	no	—
871	#547	—	26	1	no	—
872	#542	—	13	1	no	—
873	#542	—	13	1	no	—
874	#542	—	13	1	no	—
875	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
876	#537	—	13	1	no	—
877	#537	—	13	1	no	—
878	#533	—	13	1	no	—
879	#533	—	13	1	no	—
880	#532	—	13	1	no	—
881	#532	—	13	1	no	—
882	#532	—	13	1	no	—
883	C₂×C₄⋊Q₈	—	13	1	no	—
884	#520	—	13	1	no	—
885	#520	—	13	1	no	—
886	#520	—	13	1	no	—
887	#520	—	13	1	no	—
888	#520	—	13	1	no	—
889	#520	—	13	1	no	—
890	#520	—	26	1	no	—
891	#518	—	13	1	no	—
892	#518	—	13	1	no	—
893	#518	—	26	1	no	—
894	#518	—	26	1	no	—
895	#518	—	26	1	no	—
896	#518	C₂×D₁₃	1	1	yes	characteristic
897	C₄×#41	—	13	1	no	—
898	C₄×#41	—	13	1	no	—
899	C₄×#41	—	13	1	no	—
900	C₄×#41	—	13	1	no	—
901	C₄×#41	—	26	1	no	—
902	C₂×C₄×D₄	—	13	1	no	—
903	C₂×C₄×D₄	—	13	1	no	—
904	C₂×C₄×D₄	—	13	1	no	—
905	C₂×C₄×D₄	—	26	1	no	—
906	C₂×C₄×D₄	—	26	1	no	—
907	C₂×C₄×D₄	—	26	1	no	—
908	#485	—	13	1	no	—
909	#485	—	13	1	no	—
910	#485	—	13	1	no	—
911	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
912	#483	—	13	1	no	—
913	#483	—	13	1	no	—
914	#483	—	13	1	no	—
915	#483	—	13	1	no	—
916	#482	—	13	1	no	—
917	#482	—	13	1	no	—
918	#482	—	13	1	no	—
919	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
920	#481	—	13	1	no	—
921	#481	—	13	1	no	—
922	#481	—	13	1	no	—
923	#481	—	13	1	no	—
924	#477	—	13	1	no	—
925	#477	—	13	1	no	—
926	#476	—	13	1	no	—
927	#476	—	13	1	no	—
928	#476	—	13	1	no	—
929	#476	—	13	1	no	—
930	#476	—	13	1	no	—
931	#476	—	13	1	no	—
932	#476	—	13	1	no	—
933	#476	—	13	1	no	—
934	#476	—	13	1	no	—
935	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
936	#475	—	13	1	no	—
937	#475	—	13	1	no	—
938	#474	—	13	1	no	—
939	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
940	#464	—	13	1	no	—
941	#464	—	13	1	no	—
942	#463	—	13	1	no	—
943	#463	—	13	1	no	—
944	#463	—	13	1	no	—
945	#463	—	13	1	no	—
946	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
947	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#462	—	13	1	no	—
949	#461	—	13	1	no	—
950	#461	—	13	1	no	—
951	#461	—	13	1	no	—
952	#460	—	13	1	no	—
953	#459	—	13	1	no	—
954	#459	—	13	1	no	—
955	#459	—	13	1	no	—
956	#452	—	13	1	no	—
957	#452	—	13	1	no	—
958	#452	—	13	1	no	—
959	#452	—	13	1	no	—
960	#450	—	13	1	no	—
961	#450	—	13	1	no	—
962	#450	—	13	1	no	—
963	#450	C₂×D₁₃	1	1	yes	characteristic
964	#449	—	13	1	no	—
965	#449	—	13	1	no	—
966	#449	—	13	1	no	—
967	#449	—	13	1	no	—
968	#447	—	13	1	no	—
969	#447	—	13	1	no	—
970	#447	—	13	1	no	—
971	#447	C₂×D₁₃	1	1	yes	characteristic
972	#442	—	13	1	no	—
973	#442	—	13	1	no	—
974	#442	—	13	1	no	—
975	#442	—	13	1	no	—
976	#442	—	13	1	no	—
977	#442	—	13	1	no	—
978	#442	—	13	1	no	—
979	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
980	#441	—	13	1	no	—
981	#441	—	13	1	no	—
982	#441	—	13	1	no	—
983	#441	—	13	1	no	—
984	#440	—	13	1	no	—
985	#440	—	13	1	no	—
986	#440	—	13	1	no	—
987	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
988	C₄×SD₁₆	—	13	1	no	—
989	C₄×SD₁₆	—	13	1	no	—
990	C₄×SD₁₆	—	13	1	no	—
991	C₄×SD₁₆	—	13	1	no	—
992	C₄×SD₁₆	—	13	1	no	—
993	C₄×SD₁₆	—	13	1	no	—
994	C₄×SD₁₆	—	13	1	no	—
995	C₄×SD₁₆	—	13	1	no	—
996	C₄×SD₁₆	—	13	1	no	—
997	C₄×SD₁₆	—	13	1	no	—
998	C₄×SD₁₆	—	13	1	no	—
999	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1000	C₄×D₈	—	13	1	no	—
1001	C₄×D₈	—	13	1	no	—
1002	C₄×D₈	—	13	1	no	—
1003	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1004	#433	—	13	1	no	—
1005	#433	—	13	1	no	—
1006	#433	—	13	1	no	—
1007	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	#432	—	13	1	no	—
1009	#432	—	13	1	no	—
1010	#431	—	13	1	no	—
1011	#431	—	13	1	no	—
1012	#428	—	13	1	no	—
1013	#428	—	13	1	no	—
1014	C₂×#106	—	13	1	no	—
1015	C₂×#106	—	13	1	no	—
1016	#423	—	13	1	no	—
1017	C₂×C₄⋊C₈	—	13	1	no	—
1018	#417	—	13	1	no	—
1019	#417	—	13	1	no	—
1020	#417	—	13	1	no	—
1021	#417	—	13	1	no	—
1022	#416	—	13	1	no	—
1023	#416	—	13	1	no	—
1024	C₂×#102	—	13	1	no	—
1025	C₂×#102	—	13	1	no	—
1026	#408	—	13	1	no	—
1027	#408	—	13	1	no	—
1028	#405	—	13	1	no	—
1029	#405	—	13	1	no	—
1030	C₂²×C₁₃	—	2	1	no	—
1031	C₂²×C₁₃	—	2	2	no	—
1032	C₂²×C₁₃	—	2	2	no	—
1033	C₂²×C₁₃	—	2	1	no	—
1034	C₂²×C₁₃	—	2	1	no	—
1035	C₂²×C₁₃	—	4	1	no	—
1036	C₂²×C₁₃	—	4	1	no	—
1037	C₂²×C₁₃	—	4	1	no	—
1038	C₂²×C₁₃	—	4	1	no	—
1039	C₂²×C₁₃	—	4	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	—	8	4	no	—
1043	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1044	C₂×D₁₃	—	2	1	no	—
1045	C₂×D₁₃	—	2	1	no	—
1046	C₂×D₁₃	—	2	1	no	—
1047	C₂×D₁₃	—	2	1	no	—
1048	C₂×D₁₃	—	2	2	no	—
1049	C₂×D₁₃	—	2	1	no	—
1050	C₂×D₁₃	—	4	1	no	—
1051	C₂×D₁₃	—	4	1	no	—
1052	C₂×D₁₃	—	4	1	no	—
1053	C₂×D₁₃	—	4	1	no	—
1054	C₂×D₁₃	—	4	1	no	—
1055	C₂×D₁₃	—	8	4	no	—
1056	C₂×D₁₃	—	8	4	no	—
1057	C₂×D₁₃	#525	1	2	yes	—
1058	C₄×C₁₃	—	2	1	no	—
1059	C₄×C₁₃	—	2	1	no	—
1060	C₄×C₁₃	—	2	1	no	—
1061	C₄×C₁₃	—	2	1	no	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	4	1	no	—
1064	C₄×C₁₃	—	4	1	no	—
1065	C₄×C₁₃	—	4	1	no	—
1066	C₄×C₁₃	—	4	1	no	—
1067	C₄×C₁₃	—	4	1	no	—
1068	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1069	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1070	Dic₁₃	—	2	1	no	—
1071	Dic₁₃	—	2	1	no	—
1072	Dic₁₃	—	2	1	no	—
1073	Dic₁₃	—	2	2	no	—
1074	Dic₁₃	—	2	1	no	—
1075	Dic₁₃	—	4	1	no	—
1076	Dic₁₃	—	4	1	no	—
1077	Dic₁₃	—	4	1	no	—
1078	Dic₁₃	—	4	1	no	—
1079	Dic₁₃	—	4	1	no	—
1080	Dic₁₃	#525	1	2	yes	—
1081	Dic₁₃	#577	1	2	yes	—
1082	H(5,𝔽₂)	—	26	4	no	—
1083	H(5,𝔽₂)	—	26	4	no	—
1084	C₂×#41	—	13	1	no	—
1085	C₂×#41	—	13	1	no	—
1086	C₂×#41	—	13	1	no	—
1087	C₂×#41	—	13	1	no	—
1088	C₂×#41	—	13	1	no	—
1089	C₂×#41	—	13	1	no	—
1090	C₂×#41	—	26	1	no	—
1091	C₂×#41	—	26	1	no	—
1092	C₂×#41	—	26	1	no	—
1093	C₂²×Q₈	—	26	1	no	—
1094	C₂²×D₄	—	13	1	no	—
1095	C₂²×D₄	—	13	1	no	—
1096	C₂²×D₄	—	26	1	no	—
1097	C₂²×D₄	—	26	1	no	—
1098	C₂²×D₄	—	26	1	no	—
1099	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1100	C₂³×C₄	—	26	1	no	—
1101	C₂³×C₄	—	26	1	no	—
1102	C₂³×C₄	—	26	1	no	—
1103	AGL(1,ℤ/8)	—	26	4	no	—
1104	AGL(1,ℤ/8)	—	26	4	no	—
1105	#135	—	26	4	no	—
1106	#135	—	26	4	no	—
1107	C₂×Q₁₆	—	13	1	no	—
1108	C₂×Q₁₆	—	13	1	no	—
1109	C₂×SD₁₆	—	13	1	no	—
1110	C₂×SD₁₆	—	13	1	no	—
1111	C₂×SD₁₆	—	13	1	no	—
1112	C₂×SD₁₆	—	13	1	no	—
1113	C₂×SD₁₆	—	13	1	no	—
1114	C₂×SD₁₆	—	13	1	no	—
1115	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1117	C₂×D₈	—	13	1	no	—
1118	C₂×D₈	—	13	1	no	—
1119	C₂×D₈	—	13	1	no	—
1120	C₂×D₈	—	13	1	no	—
1121	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1122	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1123	C₂×M₁₆	—	13	1	no	—
1124	C₂×M₁₆	—	13	1	no	—
1125	C₂²×C₈	—	13	1	no	—
1126	C₂²×C₈	—	13	1	no	—
1127	C₄⋊Q₈	—	13	1	no	—
1128	C₄⋊Q₈	—	13	1	no	—
1129	C₄⋊Q₈	—	13	1	no	—
1130	C₄⋊Q₈	—	13	1	no	—
1131	C₄⋊Q₈	—	26	1	no	—
1132	C₄⋊Q₈	—	26	1	no	—
1133	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1134	#127	—	13	1	no	—
1135	#126	—	2	1	no	—
1136	#126	—	26	1	no	—
1137	#126	—	26	1	no	—
1138	#126	—	26	1	no	—
1139	#125	—	26	1	no	—
1140	#125	—	26	1	no	—
1141	#124	—	2	1	no	—
1142	#124	—	13	1	no	—
1143	#124	—	26	1	no	—
1144	#124	—	26	1	no	—
1145	#124	—	26	1	no	—
1146	#124	—	26	1	no	—
1147	#124	—	26	1	no	—
1148	#124	C₂²×D₁₃	1	1	yes	characteristic
1149	#123	—	2	1	no	—
1150	#123	—	26	1	no	—
1151	#123	—	26	1	no	—
1152	#123	—	26	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	13	1	no	—
1155	C₂²⋊Q₈	—	13	1	no	—
1156	C₂²⋊Q₈	—	13	1	no	—
1157	C₂²⋊Q₈	—	26	1	no	—
1158	C₂²⋊Q₈	—	26	1	no	—
1159	C₂²⋊Q₈	—	26	1	no	—
1160	C₂²⋊Q₈	—	26	1	no	—
1161	C₂²⋊Q₈	—	26	1	no	—
1162	C₂²⋊Q₈	—	26	1	no	—
1163	C₂²⋊Q₈	—	26	1	no	—
1164	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1165	#121	—	13	1	no	—
1166	#121	—	13	1	no	—
1167	#121	—	13	1	no	—
1168	#121	—	26	1	no	—
1169	#121	—	26	1	no	—
1170	#121	—	26	1	no	—
1171	#121	—	26	1	no	—
1172	#121	—	26	1	no	—
1173	#121	—	26	1	no	—
1174	#121	—	26	1	no	—
1175	#121	—	26	1	no	—
1176	#121	—	26	1	no	—
1177	#121	—	26	1	no	—
1178	#121	C₂²×D₁₃	1	1	yes	characteristic
1179	C₄×Q₈	—	13	1	no	—
1180	C₄×Q₈	—	13	1	no	—
1181	C₄×Q₈	—	13	1	no	—
1182	C₄×Q₈	—	13	1	no	—
1183	C₄×Q₈	—	13	1	no	—
1184	C₄×Q₈	—	13	1	no	—
1185	C₄×Q₈	—	13	1	no	—
1186	C₄×Q₈	—	13	1	no	—
1187	C₄×Q₈	—	13	1	no	—
1188	C₄×Q₈	—	26	1	no	—
1189	C₄×Q₈	—	26	1	no	—
1190	C₄×Q₈	—	26	1	no	—
1191	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	13	1	no	—
1195	C₄×D₄	—	13	1	no	—
1196	C₄×D₄	—	13	1	no	—
1197	C₄×D₄	—	13	1	no	—
1198	C₄×D₄	—	13	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	13	1	no	—
1201	C₄×D₄	—	13	1	no	—
1202	C₄×D₄	—	13	1	no	—
1203	C₄×D₄	—	13	1	no	—
1204	C₄×D₄	—	13	1	no	—
1205	C₄×D₄	—	13	1	no	—
1206	C₄×D₄	—	13	1	no	—
1207	C₄×D₄	—	13	1	no	—
1208	C₄×D₄	—	13	1	no	—
1209	C₄×D₄	—	13	1	no	—
1210	C₄×D₄	—	13	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	—	26	1	no	—
1219	C₄×D₄	—	26	1	no	—
1220	C₄×D₄	—	26	1	no	—
1221	C₄×D₄	—	26	1	no	—
1222	C₄×D₄	—	26	1	no	—
1223	C₄×D₄	—	26	1	no	—
1224	C₄×D₄	—	26	1	no	—
1225	C₄×D₄	—	26	1	no	—
1226	C₄×D₄	—	26	1	no	—
1227	C₄×D₄	—	26	1	no	—
1228	C₄×D₄	—	26	1	no	—
1229	C₄×D₄	—	26	1	no	—
1230	C₄×D₄	—	26	1	no	—
1231	C₄×D₄	—	26	1	no	—
1232	C₄×D₄	—	26	1	no	—
1233	C₄×D₄	—	26	1	no	—
1234	C₄×D₄	—	26	1	no	—
1235	C₄×D₄	—	26	1	no	—
1236	C₄×D₄	—	26	1	no	—
1237	C₄×D₄	—	26	1	no	—
1238	C₄×D₄	—	26	1	no	—
1239	C₄×D₄	—	26	1	no	—
1240	C₄×D₄	—	26	1	no	—
1241	C₄×D₄	—	26	1	no	—
1242	C₄×D₄	—	26	1	no	—
1243	C₄×D₄	—	26	1	no	—
1244	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1245	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1246	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1247	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1248	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1249	#117	—	13	1	no	—
1250	#117	—	13	1	no	—
1251	#117	—	13	1	no	—
1252	#117	—	13	1	no	—
1253	#117	—	26	1	no	—
1254	#117	—	26	1	no	—
1255	#117	—	26	1	no	—
1256	#117	—	26	1	no	—
1257	#117	—	26	1	no	—
1258	#117	—	26	1	no	—
1259	#117	—	26	1	no	—
1260	#117	—	26	1	no	—
1261	#117	—	26	1	no	—
1262	#117	—	26	1	no	—
1263	#117	C₂²×D₁₃	1	1	yes	characteristic
1264	#117	C₂²×D₁₃	1	1	yes	characteristic
1265	C₂×C₄⋊C₄	—	13	1	no	—
1266	C₂×C₄⋊C₄	—	13	1	no	—
1267	C₂×C₄⋊C₄	—	13	1	no	—
1268	C₂×C₄⋊C₄	—	13	1	no	—
1269	C₂×C₄⋊C₄	—	13	1	no	—
1270	C₂×C₄⋊C₄	—	26	1	no	—
1271	C₂×C₄⋊C₄	—	26	1	no	—
1272	C₂×C₄⋊C₄	—	26	1	no	—
1273	C₂×C₄⋊C₄	—	26	1	no	—
1274	C₂×C₄⋊C₄	—	26	1	no	—
1275	C₂×C₄⋊C₄	—	26	1	no	—
1276	C₂×C₂²⋊C₄	—	2	1	no	—
1277	C₂×C₂²⋊C₄	—	2	1	no	—
1278	C₂×C₂²⋊C₄	—	26	1	no	—
1279	C₂×C₂²⋊C₄	—	26	1	no	—
1280	C₂×C₂²⋊C₄	—	26	1	no	—
1281	C₂×C₂²⋊C₄	—	26	1	no	—
1282	C₂×C₂²⋊C₄	—	26	1	no	—
1283	C₂×C₂²⋊C₄	—	26	1	no	—
1284	C₂×C₂²⋊C₄	—	26	1	no	—
1285	C₂×C₄²	—	13	1	no	—
1286	C₂×C₄²	—	13	1	no	—
1287	C₂×C₄²	—	13	1	no	—
1288	C₂×C₄²	—	26	1	no	—
1289	C₂×C₄²	—	26	1	no	—
1290	C₂×C₄²	—	26	1	no	—
1291	#107	—	13	1	no	—
1292	#107	—	13	1	no	—
1293	#107	C₂²×D₁₃	1	1	yes	characteristic
1294	#107	C₂²×D₁₃	1	1	yes	characteristic
1295	#106	—	13	1	no	—
1296	#106	—	13	1	no	—
1297	#106	—	13	1	no	—
1298	#106	—	13	1	no	—
1299	#106	—	13	1	no	—
1300	#106	—	13	1	no	—
1301	#106	—	13	1	no	—
1302	#106	—	13	1	no	—
1303	#106	—	13	1	no	—
1304	#106	—	13	1	no	—
1305	#106	C₂²×D₁₃	1	1	yes	characteristic
1306	#106	C₂²×D₁₃	1	1	yes	characteristic
1307	C₄⋊C₈	—	13	1	no	—
1308	C₄⋊C₈	—	13	1	no	—
1309	C₄⋊C₈	—	13	1	no	—
1310	C₄⋊C₈	—	13	1	no	—
1311	C₄⋊C₈	—	13	1	no	—
1312	C₄⋊C₈	—	13	1	no	—
1313	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1314	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1315	#103	—	13	1	no	—
1316	#103	—	13	1	no	—
1317	#103	—	13	1	no	—
1318	#103	—	13	1	no	—
1319	#103	—	13	1	no	—
1320	#103	—	13	1	no	—
1321	#103	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	C₂²×D₁₃	1	1	yes	characteristic
1326	#103	C₂²×D₁₃	1	1	yes	characteristic
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	—	13	1	no	—
1336	#102	—	13	1	no	—
1337	#102	—	13	1	no	—
1338	#102	—	13	1	no	—
1339	#102	—	13	1	no	—
1340	#102	—	13	1	no	—
1341	#102	C₂²×D₁₃	1	1	yes	characteristic
1342	#102	C₂²×D₁₃	1	1	yes	characteristic
1343	#102	C₂²×D₁₃	1	1	yes	characteristic
1344	#102	C₂²×D₁₃	1	1	yes	characteristic
1345	#102	C₂²×D₁₃	1	1	yes	characteristic
1346	#102	C₂²×D₁₃	1	1	yes	characteristic
1347	C₂²⋊C₈	—	13	1	no	—
1348	C₂²⋊C₈	—	13	1	no	—
1349	C₂²⋊C₈	—	13	1	no	—
1350	C₂²⋊C₈	—	13	1	no	—
1351	C₂²⋊C₈	—	13	1	no	—
1352	C₂²⋊C₈	—	13	1	no	—
1353	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1354	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1355	#97	—	13	1	no	—
1356	#97	—	13	1	no	—
1357	#97	—	13	1	no	—
1358	#97	C₂²×D₁₃	1	1	yes	characteristic
1359	C₄×C₈	—	13	1	no	—
1360	C₄×C₈	—	13	1	no	—
1361	C₄×C₈	—	13	1	no	—
1362	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1363	C₂×C₁₃	—	4	2	no	—
1364	C₂×C₁₃	—	4	2	no	—
1365	C₂×C₁₃	—	4	1	no	—
1366	C₂×C₁₃	—	8	1	no	—
1367	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1368	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1369	C₂×C₁₃	#3585	1	1	yes	characteristic
1370	D₁₃	—	2	2	no	—
1371	D₁₃	—	4	1	no	—
1372	D₁₃	—	4	2	no	—
1373	D₁₃	—	8	1	no	—
1374	C₂⁴	—	2	1	no	—
1375	C₂⁴	—	26	1	no	—
1376	C₂⁴	—	26	1	no	—
1377	#41	—	13	4	no	—
1378	#41	—	26	2	no	—
1379	#41	—	26	2	no	—
1380	#41	—	26	2	no	—
1381	#41	—	26	2	no	—
1382	#41	—	26	2	no	—
1383	#41	—	26	2	no	—
1384	#41	—	26	2	no	—
1385	#41	—	26	2	no	—
1386	#41	—	26	2	no	—
1387	#41	—	26	2	no	—
1388	#41	—	26	8	no	—
1389	#41	—	26	2	no	—
1390	#41	—	104	2	no	—
1391	#41	—	104	2	no	—
1392	C₂×Q₈	—	2	1	no	—
1393	C₂×Q₈	—	13	1	no	—
1394	C₂×Q₈	—	13	1	no	—
1395	C₂×Q₈	—	13	1	no	—
1396	C₂×Q₈	—	26	1	no	—
1397	C₂×Q₈	—	26	1	no	—
1398	C₂×Q₈	—	26	1	no	—
1399	C₂×Q₈	—	104	2	no	—
1400	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1401	C₂×D₄	—	2	2	no	—
1402	C₂×D₄	—	2	2	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	13	4	no	—
1406	C₂×D₄	—	13	1	no	—
1407	C₂×D₄	—	13	1	no	—
1408	C₂×D₄	—	13	1	no	—
1409	C₂×D₄	—	13	1	no	—
1410	C₂×D₄	—	13	1	no	—
1411	C₂×D₄	—	26	1	no	—
1412	C₂×D₄	—	26	1	no	—
1413	C₂×D₄	—	26	2	no	—
1414	C₂×D₄	—	26	1	no	—
1415	C₂×D₄	—	26	1	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	2	no	—
1419	C₂×D₄	—	26	8	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	26	8	no	—
1423	C₂×D₄	—	26	8	no	—
1424	C₂×D₄	—	26	1	no	—
1425	C₂×D₄	—	26	2	no	—
1426	C₂×D₄	—	26	1	no	—
1427	C₂×D₄	—	26	1	no	—
1428	C₂×D₄	—	26	1	no	—
1429	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1430	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1431	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	13	1	no	—
1438	C₂²×C₄	—	13	1	no	—
1439	C₂²×C₄	—	13	1	no	—
1440	C₂²×C₄	—	13	1	no	—
1441	C₂²×C₄	—	13	1	no	—
1442	C₂²×C₄	—	13	1	no	—
1443	C₂²×C₄	—	13	1	no	—
1444	C₂²×C₄	—	13	1	no	—
1445	C₂²×C₄	—	26	1	no	—
1446	C₂²×C₄	—	26	1	no	—
1447	C₂²×C₄	—	26	1	no	—
1448	C₂²×C₄	—	26	1	no	—
1449	C₂²×C₄	—	26	1	no	—
1450	C₂²×C₄	—	26	1	no	—
1451	C₂²×C₄	—	26	1	no	—
1452	C₂²×C₄	—	26	1	no	—
1453	C₂²×C₄	—	26	1	no	—
1454	C₂²×C₄	—	26	1	no	—
1455	C₂²×C₄	—	26	1	no	—
1456	C₂²×C₄	—	26	1	no	—
1457	C₂²×C₄	—	26	1	no	—
1458	C₂²×C₄	—	26	1	no	—
1459	C₂²×C₄	—	26	1	no	—
1460	C₂²×C₄	—	26	1	no	—
1461	C₂²×C₄	—	26	1	no	—
1462	C₂²×C₄	—	26	1	no	—
1463	C₂²×C₄	—	26	1	no	—
1464	C₂²×C₄	—	26	1	no	—
1465	C₂²×C₄	—	26	1	no	—
1466	C₂²×C₄	—	104	2	no	—
1467	C₂²×C₄	—	104	2	no	—
1468	C₂²×C₄	—	104	2	no	—
1469	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1470	Q₁₆	—	26	2	no	—
1471	Q₁₆	—	26	2	no	—
1472	SD₁₆	—	2	2	no	—
1473	SD₁₆	—	2	2	no	—
1474	SD₁₆	—	26	2	no	—
1475	SD₁₆	—	26	2	no	—
1476	SD₁₆	—	26	2	no	—
1477	SD₁₆	—	26	2	no	—
1478	SD₁₆	—	26	2	no	—
1479	SD₁₆	—	26	2	no	—
1480	D₈	—	2	2	no	—
1481	D₈	—	2	2	no	—
1482	D₈	—	26	2	no	—
1483	D₈	—	26	2	no	—
1484	D₈	—	26	2	no	—
1485	D₈	—	26	2	no	—
1486	M₁₆	—	26	2	no	—
1487	M₁₆	—	26	2	no	—
1488	C₂×C₈	—	13	1	no	—
1489	C₂×C₈	—	13	1	no	—
1490	C₂×C₈	—	13	1	no	—
1491	C₂×C₈	—	13	1	no	—
1492	C₂×C₈	—	26	2	no	—
1493	C₂×C₈	—	26	2	no	—
1494	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1495	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1496	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1497	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	13	1	no	—
1502	C₄⋊C₄	—	13	1	no	—
1503	C₄⋊C₄	—	13	1	no	—
1504	C₄⋊C₄	—	13	1	no	—
1505	C₄⋊C₄	—	13	1	no	—
1506	C₄⋊C₄	—	13	1	no	—
1507	C₄⋊C₄	—	13	1	no	—
1508	C₄⋊C₄	—	13	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	—	26	1	no	—
1519	C₄⋊C₄	—	26	1	no	—
1520	C₄⋊C₄	—	26	1	no	—
1521	C₄⋊C₄	—	26	1	no	—
1522	C₄⋊C₄	—	26	1	no	—
1523	C₄⋊C₄	—	26	1	no	—
1524	C₄⋊C₄	—	26	1	no	—
1525	C₄⋊C₄	—	26	1	no	—
1526	C₄⋊C₄	—	26	1	no	—
1527	C₄⋊C₄	—	26	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1530	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1531	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1532	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1533	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1534	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	13	1	no	—
1546	C₂²⋊C₄	—	13	1	no	—
1547	C₂²⋊C₄	—	13	1	no	—
1548	C₂²⋊C₄	—	13	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₂²⋊C₄	—	26	1	no	—
1567	C₂²⋊C₄	—	26	1	no	—
1568	C₂²⋊C₄	—	26	1	no	—
1569	C₂²⋊C₄	—	26	1	no	—
1570	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1571	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1572	C₄²	—	2	1	no	—
1573	C₄²	—	2	1	no	—
1574	C₄²	—	13	1	no	—
1575	C₄²	—	13	1	no	—
1576	C₄²	—	13	1	no	—
1577	C₄²	—	13	1	no	—
1578	C₄²	—	13	1	no	—
1579	C₄²	—	13	1	no	—
1580	C₄²	—	13	1	no	—
1581	C₄²	—	13	1	no	—
1582	C₄²	—	26	1	no	—
1583	C₄²	—	26	1	no	—
1584	C₄²	—	26	1	no	—
1585	C₄²	—	26	1	no	—
1586	C₄²	—	26	1	no	—
1587	C₄²	—	26	1	no	—
1588	C₄²	—	26	1	no	—
1589	C₄²	—	26	1	no	—
1590	C₄²	—	26	1	no	—
1591	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1592	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1593	C₁₃	#60597	1	1	yes	characteristic, complemented, Sylow
1594	C₂³	—	2	4	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	8	1	no	—
1599	C₂³	—	8	1	no	—
1600	C₂³	—	13	1	no	—
1601	C₂³	—	13	1	no	—
1602	C₂³	—	26	4	no	—
1603	C₂³	—	26	4	no	—
1604	C₂³	—	26	1	no	—
1605	C₂³	—	26	1	no	—
1606	C₂³	—	104	1	no	—
1607	C₂³	—	104	1	no	—
1608	C₂³	—	104	1	no	—
1609	C₂³	—	104	1	no	—
1610	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	8	1	no	—
1614	Q₈	—	13	2	no	—
1615	Q₈	—	26	2	no	—
1616	Q₈	—	26	1	no	—
1617	Q₈	—	26	1	no	—
1618	Q₈	—	26	1	no	—
1619	Q₈	—	52	2	no	—
1620	Q₈	—	52	2	no	—
1621	Q₈	—	104	1	no	—
1622	D₄	—	2	4	no	—
1623	D₄	—	2	1	no	—
1624	D₄	—	2	1	no	—
1625	D₄	—	2	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	13	2	no	—
1629	D₄	—	26	2	no	—
1630	D₄	—	26	2	no	—
1631	D₄	—	26	4	no	—
1632	D₄	—	26	2	no	—
1633	D₄	—	26	4	no	—
1634	D₄	—	26	4	no	—
1635	D₄	—	26	4	no	—
1636	D₄	—	26	4	no	—
1637	D₄	—	26	1	no	—
1638	D₄	—	26	1	no	—
1639	D₄	—	26	1	no	—
1640	D₄	—	52	2	no	—
1641	D₄	—	52	2	no	—
1642	D₄	—	52	2	no	—
1643	D₄	—	52	2	no	—
1644	D₄	—	104	1	no	—
1645	D₄	—	104	1	no	—
1646	D₄	—	104	1	no	—
1647	D₄	#41×D₁₃	1	2	yes	—
1648	D₄	#41×D₁₃	1	2	yes	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	—	8	1	no	—
1661	C₂×C₄	—	13	1	no	—
1662	C₂×C₄	—	13	1	no	—
1663	C₂×C₄	—	13	2	no	—
1664	C₂×C₄	—	13	2	no	—
1665	C₂×C₄	—	13	1	no	—
1666	C₂×C₄	—	13	1	no	—
1667	C₂×C₄	—	13	1	no	—
1668	C₂×C₄	—	13	1	no	—
1669	C₂×C₄	—	26	2	no	—
1670	C₂×C₄	—	26	2	no	—
1671	C₂×C₄	—	26	4	no	—
1672	C₂×C₄	—	26	2	no	—
1673	C₂×C₄	—	26	4	no	—
1674	C₂×C₄	—	26	4	no	—
1675	C₂×C₄	—	26	1	no	—
1676	C₂×C₄	—	26	1	no	—
1677	C₂×C₄	—	26	1	no	—
1678	C₂×C₄	—	26	1	no	—
1679	C₂×C₄	—	26	1	no	—
1680	C₂×C₄	—	26	1	no	—
1681	C₂×C₄	—	26	1	no	—
1682	C₂×C₄	—	26	1	no	—
1683	C₂×C₄	—	52	1	no	—
1684	C₂×C₄	—	52	1	no	—
1685	C₂×C₄	—	52	2	no	—
1686	C₂×C₄	—	52	2	no	—
1687	C₂×C₄	—	52	2	no	—
1688	C₂×C₄	—	52	2	no	—
1689	C₂×C₄	—	52	2	no	—
1690	C₂×C₄	—	52	1	no	—
1691	C₂×C₄	—	104	1	no	—
1692	C₂×C₄	—	104	1	no	—
1693	C₂×C₄	—	104	1	no	—
1694	C₂×C₄	—	104	1	no	—
1695	C₂×C₄	—	104	1	no	—
1696	C₂×C₄	—	104	1	no	—
1697	C₂×C₄	—	104	1	no	—
1698	C₂×C₄	—	104	1	no	—
1699	C₂×C₄	—	104	1	no	—
1700	C₂×C₄	—	104	1	no	—
1701	C₂×C₄	—	104	1	no	—
1702	C₂×C₄	—	104	1	no	—
1703	C₂×C₄	—	104	1	no	—
1704	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1705	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1706	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1707	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1708	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1709	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1710	C₈	—	2	1	no	—
1711	C₈	—	2	1	no	—
1712	C₈	—	2	1	no	—
1713	C₈	—	2	1	no	—
1714	C₈	—	26	1	no	—
1715	C₈	—	26	1	no	—
1716	C₈	—	26	1	no	—
1717	C₈	—	26	1	no	—
1718	C₂²	—	2	1	no	—
1719	C₂²	—	2	1	no	—
1720	C₂²	—	2	2	no	—
1721	C₂²	—	2	2	no	—
1722	C₂²	—	2	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	8	4	no	—
1731	C₂²	—	13	2	no	—
1732	C₂²	—	26	1	no	—
1733	C₂²	—	26	1	no	—
1734	C₂²	—	26	1	no	—
1735	C₂²	—	26	2	no	—
1736	C₂²	—	26	1	no	—
1737	C₂²	—	26	1	no	—
1738	C₂²	—	52	1	no	—
1739	C₂²	—	52	1	no	—
1740	C₂²	—	52	1	no	—
1741	C₂²	—	52	1	no	—
1742	C₂²	—	52	1	no	—
1743	C₂²	—	104	4	no	—
1744	C₂²	—	104	4	no	—
1745	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	2	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	13	2	no	—
1757	C₄	—	13	2	no	—
1758	C₄	—	26	1	no	—
1759	C₄	—	26	1	no	—
1760	C₄	—	26	2	no	—
1761	C₄	—	26	1	no	—
1762	C₄	—	26	1	no	—
1763	C₄	—	52	1	no	—
1764	C₄	—	52	1	no	—
1765	C₄	—	52	1	no	—
1766	C₄	—	52	1	no	—
1767	C₄	—	52	1	no	—
1768	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1769	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1770	C₂	—	4	1	no	—
1771	C₂	—	4	2	no	—
1772	C₂	—	4	2	no	—
1773	C₂	—	8	1	no	—
1774	C₂	—	26	2	no	—
1775	C₂	—	52	1	no	—
1776	C₂	—	52	2	no	—
1777	C₂	—	104	1	no	—
1778	C₂	D₁₃×#525	1	1	yes	characteristic
1779	C₂	D₁₃×#577	1	1	yes	characteristic
1780	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×#3118	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3118	D₁₃
hypocenter	C₁₃	#60597
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3118

Complements

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

N	H ≅ G/N	type
1. #13128741	C₂	semidirect
2. #13128040	C₂	semidirect
3. #13125118	C₂	semidirect
4. #13125115	C₂	semidirect
5. #13125110	C₂	semidirect
6. #13125107	C₂	semidirect
7. #13125027	C₂	semidirect
8. #13125020	C₂	semidirect
9. #13125019	C₂	semidirect
10. #13124994	C₂	semidirect
11. #13124993	C₂	semidirect
12. #13124925	C₂	semidirect
13. #13124922	C₂	semidirect
14. #13124892	C₂	semidirect
15. #13124891	C₂	semidirect
16. #13124842	C₂	semidirect
17. #13124839	C₂	semidirect
18. #13124828	C₂	semidirect
19. #13124822	C₂	semidirect
20. #13124644	C₂	semidirect
21. D₁₃×#476	C₂	semidirect
22. #13124298	C₂	semidirect
23. #13124288	C₂	semidirect
24. #13124141	C₂	semidirect
25. #13124135	C₂	semidirect
26. #13123718	C₂	semidirect
27. #13123714	C₂	semidirect
28. #13123667	C₂	semidirect
29. #13123661	C₂	semidirect
30. #13123499	C₂	semidirect
31. C₁₃×#3118	C₂	semidirect
33. C₁₃×#542	C₂²	semidirect
40. #11719438	C₂²	semidirect
41. D₁₃×C₄⋊Q₈	C₂²	semidirect
44. #11719387	C₂²	semidirect
47. #11719373	C₂²	semidirect
53. #11719327	C₂²	semidirect
55. #11719301	C₂²	semidirect
56. #11719283	C₂²	semidirect
57. #11719279	C₂²	semidirect
58. #11719253	C₂²	semidirect
62. #11719251	C₂²	semidirect
72. #11719239	C₂²	semidirect
81. C₁₃×#485	C₂²	semidirect
82. C₁₃×#482	C₂²	semidirect
83. C₁₃×#476	C₂²	semidirect
84. C₁₃×#474	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
89. C₁₃×#442	C₂²	semidirect
90. C₁₃×#440	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₄×C₁₃×D₈	C₂²	semidirect
93. C₁₃×#433	C₂²	semidirect
98. #11718823	C₂²	semidirect
99. #11718823	C₂²	semidirect
100. SD₁₆×Dic₁₃	C₂²	semidirect
101. SD₁₆×Dic₁₃	C₂²	semidirect
104. #11718813	C₂²	semidirect
105. #11718813	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. #11718755	C₂²	semidirect
109. #11718745	C₂²	semidirect
110. #11718718	C₂²	semidirect
111. #11718715	C₂²	semidirect
113. #11718704	C₂²	semidirect
115. #11718695	C₂²	semidirect
116. #11718691	C₂²	semidirect
117. C₄×#6106	C₂²	semidirect
118. #11718679	C₂²	semidirect
119. C₄×#6105	C₂²	semidirect
120. C₄×#6105	C₂²	semidirect
121. #11718677	C₂²	semidirect
122. #11718677	C₂²	semidirect
123. #11718675	C₂²	semidirect
124. #11718675	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. #11718669	C₂²	semidirect
127. #11718668	C₂²	semidirect
128. #11718664	C₂²	semidirect
129. #11718661	C₂²	semidirect
130. #11718657	C₂²	semidirect
131. #11718550	C₂²	semidirect
132. #11718549	C₂²	semidirect
133. #11718546	C₂²	semidirect
134. #11718542	C₂²	semidirect
135. #11718542	C₂²	semidirect
136. #11718536	C₂²	semidirect
137. #11718536	C₂²	semidirect
138. #11718533	C₂²	semidirect
139. #11718531	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718524	C₂²	semidirect
142. #11718523	C₂²	semidirect
143. D₁₃×#106	C₂²	semidirect
144. D₁₃×#106	C₂²	semidirect
145. #11718514	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718512	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718505	C₂²	semidirect
150. #11718503	C₂²	semidirect
151. #11718501	C₂²	semidirect
152. #11718501	C₂²	semidirect
153. #11718498	C₂²	semidirect
154. D₁₃×C₄⋊C₈	C₂²	semidirect
155. #11718479	C₂²	semidirect
156. #11718478	C₂²	semidirect
157. #11718476	C₂²	semidirect
158. #11718466	C₂²	semidirect
159. #11718465	C₂²	semidirect
160. #11718464	C₂²	semidirect
161. #11718454	C₂²	semidirect
162. #11718450	C₂²	semidirect
163. #11718447	C₂²	semidirect
164. #11718446	C₂²	semidirect
165. #11718446	C₂²	semidirect
168. #11718440	C₂²	semidirect
169. #11718438	C₂²	semidirect
172. #11718433	C₂²	semidirect
175. #11718432	C₂²	semidirect
178. #11718423	C₂²	semidirect
179. #11718422	C₂²	semidirect
180. #11718422	C₂²	semidirect
181. #11718422	C₂²	semidirect
182. #11718422	C₂²	semidirect
183. #11718419	C₂²	semidirect
184. #11718419	C₂²	semidirect
185. #11718419	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718396	C₂²	semidirect
192. #11718382	C₂²	semidirect
193. #11718380	C₂²	semidirect
194. #11718379	C₂²	semidirect
195. #11718377	C₂²	semidirect
196. #11718372	C₂²	semidirect
197. #11718369	C₂²	semidirect
198. #11718366	C₂²	semidirect
199. C₄×#6095	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718350	C₂²	semidirect
202. #11718346	C₂²	semidirect
539. #6129	#41	semidirect
544. D₄×D₁₃	#41	semidirect
713. #3118	D₁₃	semidirect
875. #542	C₂×D₁₃	semidirect
911. #485	C₂×D₁₃	semidirect
919. #482	C₂×D₁₃	semidirect
935. #476	C₂×D₁₃	semidirect
939. #474	C₂×D₁₃	semidirect
946. #463	C₂×D₁₃	semidirect
947. #463	C₂×D₁₃	semidirect
979. #442	C₂×D₁₃	semidirect
987. #440	C₂×D₁₃	semidirect
999. C₄×SD₁₆	C₂×D₁₃	semidirect
1003. C₄×D₈	C₂×D₁₃	semidirect
1007. #433	C₂×D₁₃	semidirect
1593. C₁₃	#60597	semidirect

Maximal subgroups

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

subgroup	index
#13128741	2
#13128040	2
#13125118	2
#13125115	2
#13125110	2
#13125107	2
#13125027	2
#13125020	2
#13125019	2
#13124994	2
#13124993	2
#13124925	2
#13124922	2
#13124892	2
#13124891	2
#13124842	2
#13124839	2
#13124828	2
#13124822	2
#13124644	2
D₁₃×#476	2
#13124298	2
#13124288	2
#13124141	2
#13124135	2
#13123718	2
#13123714	2
#13123667	2
#13123661	2
#13123499	2
C₁₃×#3118	2
#60597	13