Subgroups — #16731563

Order 3328.

2144 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128256	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128042	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125111	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125080	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125078	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125041	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125035	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125026	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125014	C₂	1	1	yes	maximal, characteristic, complemented
10	#13124990	C₂	1	1	yes	maximal, characteristic, complemented
11	#13124980	C₂	1	1	yes	maximal, characteristic, complemented
12	#13124977	C₂	1	1	yes	maximal, characteristic, complemented
13	#13124973	C₂	1	1	yes	maximal, characteristic, complemented
14	#13124946	C₂	1	1	yes	maximal, characteristic, complemented
15	#13124944	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124929	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124924	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124820	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124793	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124695	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124662	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124378	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124337	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124144	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124101	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88168	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88168	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123635	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123484	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic
33	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
35	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×#88173	C₂²	1	1	yes	characteristic
37	C₂×#88168	C₂²	1	1	yes	characteristic
38	C₂×#88168	C₂²	1	1	yes	characteristic
39	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
40	#11719434	C₂²	1	1	yes	characteristic, complemented
41	#11719430	C₂²	1	1	yes	characteristic, complemented
42	#11719411	—	2	1	no	—
43	#11719409	—	2	1	no	—
44	#11719385	C₂²	1	1	yes	characteristic, complemented
45	#11719383	—	2	1	no	—
46	#11719379	C₂²	1	1	yes	characteristic, complemented
47	#11719373	—	2	1	no	—
48	#11719368	—	2	1	no	—
49	#11719361	—	2	1	no	—
50	#11719345	—	2	1	no	—
51	#11719334	C₂²	1	1	yes	characteristic
52	#11719332	—	2	1	no	—
53	#11719329	C₂²	1	1	yes	characteristic, complemented
54	#11719312	C₂²	1	1	yes	characteristic
55	#11719301	C₂²	1	1	yes	characteristic, complemented
56	#11719287	C₂²	1	1	yes	characteristic, complemented
57	#11719279	C₂²	1	1	yes	characteristic
58	#11719279	C₂²	1	1	yes	characteristic, complemented
59	C₄×#6131	C₂²	1	1	yes	characteristic
60	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
61	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
62	#11719267	C₂²	1	1	yes	characteristic, complemented
63	#11719250	—	2	1	no	—
64	#11719250	—	2	1	no	—
65	#11719250	C₂²	1	1	yes	characteristic
66	#11719250	C₂²	1	1	yes	characteristic, complemented
67	C₄×D₄×D₁₃	—	2	1	no	—
68	C₄×D₄×D₁₃	—	2	1	no	—
69	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
70	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
72	#11719240	C₂²	1	1	yes	characteristic, complemented
73	#11719227	—	2	1	no	—
74	#11719227	C₂²	1	1	yes	characteristic
75	#11719226	—	2	1	no	—
76	#11719226	C₂²	1	1	yes	characteristic, complemented
77	#11719209	—	2	1	no	—
78	#11719209	C₂²	1	1	yes	characteristic
79	C₂×#88147	—	2	1	no	—
80	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#449	C₂²	1	1	yes	characteristic
89	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
94	#11718899	C₂²	1	1	yes	characteristic
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718848	C₂²	1	1	yes	characteristic, complemented
97	#11718846	C₂²	1	1	yes	characteristic, complemented
98	#11718845	C₂²	1	1	yes	characteristic, complemented
99	#11718833	C₂²	1	1	yes	characteristic
100	#11718830	C₂²	1	1	yes	characteristic, complemented
101	#11718826	C₂²	1	1	yes	characteristic, complemented
102	#11718825	C₂²	1	1	yes	characteristic, complemented
103	#11718825	C₂²	1	1	yes	characteristic, complemented
104	#11718824	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic
106	#11718813	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	#11718748	C₂²	1	1	yes	characteristic, complemented
109	#11718745	C₂²	1	1	yes	characteristic, complemented
110	#11718718	C₂²	1	1	yes	characteristic, complemented
111	#11718718	C₂²	1	1	yes	characteristic, complemented
112	#11718707	C₂²	1	1	yes	characteristic, complemented
113	#11718706	C₂²	1	1	yes	characteristic, complemented
114	#11718697	C₂²	1	1	yes	characteristic
115	#11718696	C₂²	1	1	yes	characteristic, complemented
116	#11718688	C₂²	1	1	yes	characteristic, complemented
117	#11718687	C₂²	1	1	yes	characteristic, complemented
118	#11718687	C₂²	1	1	yes	characteristic, complemented
119	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
120	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
121	#11718683	C₂²	1	1	yes	characteristic, complemented
122	#11718676	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	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
127	#11718670	C₂²	1	1	yes	characteristic, complemented
128	#11718661	C₂²	1	1	yes	characteristic, complemented
129	#11718629	C₂²	1	1	yes	characteristic, complemented
130	#11718628	C₂²	1	1	yes	characteristic, complemented
131	#11718532	C₂²	1	1	yes	characteristic, complemented
132	#11718532	C₂²	1	1	yes	characteristic, complemented
133	#11718531	C₂²	1	1	yes	characteristic, complemented
134	#11718531	C₂²	1	1	yes	characteristic, complemented
135	#11718530	C₂²	1	1	yes	characteristic, complemented
136	#11718530	C₂²	1	1	yes	characteristic, complemented
137	#11718530	C₂²	1	1	yes	characteristic, complemented
138	#11718530	C₂²	1	1	yes	characteristic, complemented
139	#11718527	C₂²	1	1	yes	characteristic, complemented
140	#11718527	C₂²	1	1	yes	characteristic, complemented
141	#11718524	C₂²	1	1	yes	characteristic, complemented
142	#11718524	C₂²	1	1	yes	characteristic, complemented
143	#11718522	C₂²	1	1	yes	characteristic, complemented
144	#11718522	C₂²	1	1	yes	characteristic, complemented
145	#11718521	C₂²	1	1	yes	characteristic, complemented
146	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718508	C₂²	1	1	yes	characteristic, complemented
149	#11718504	C₂²	1	1	yes	characteristic, complemented
150	#11718504	C₂²	1	1	yes	characteristic, complemented
151	#11718500	C₂²	1	1	yes	characteristic, complemented
152	#11718500	C₂²	1	1	yes	characteristic, complemented
153	#11718496	C₂²	1	1	yes	characteristic, complemented
154	#11718496	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic, complemented
156	#11718480	C₂²	1	1	yes	characteristic, complemented
157	#11718478	C₂²	1	1	yes	characteristic, complemented
158	#11718478	C₂²	1	1	yes	characteristic, complemented
159	#11718478	C₂²	1	1	yes	characteristic, complemented
160	#11718478	C₂²	1	1	yes	characteristic, complemented
161	#11718475	C₂²	1	1	yes	characteristic, complemented
162	#11718472	C₂²	1	1	yes	characteristic
163	#11718472	C₂²	1	1	yes	characteristic, complemented
164	#11718466	C₂²	1	1	yes	characteristic, complemented
165	#11718465	C₂²	1	1	yes	characteristic
166	#11718465	C₂²	1	1	yes	characteristic, complemented
167	#11718464	C₂²	1	1	yes	characteristic
168	#11718464	C₂²	1	1	yes	characteristic, complemented
169	#11718457	C₂²	1	1	yes	characteristic, complemented
170	#11718452	C₂²	1	1	yes	characteristic, complemented
171	#11718447	C₂²	1	1	yes	characteristic, complemented
172	#11718447	C₂²	1	1	yes	characteristic, complemented
173	#11718446	C₂²	1	1	yes	characteristic, complemented
174	#11718446	C₂²	1	1	yes	characteristic, complemented
175	#11718446	C₂²	1	1	yes	characteristic, complemented
176	#11718446	C₂²	1	1	yes	characteristic, complemented
177	#11718440	C₂²	1	1	yes	characteristic, complemented
178	#11718435	C₂²	1	1	yes	characteristic, complemented
179	#11718434	C₂²	1	1	yes	characteristic
180	#11718434	C₂²	1	1	yes	characteristic, complemented
181	#11718431	C₂²	1	1	yes	characteristic
182	#11718431	C₂²	1	1	yes	characteristic, complemented
183	D₁₃×#102	C₂²	1	1	yes	characteristic
184	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
185	#11718424	C₂²	1	1	yes	characteristic, complemented
186	#11718420	C₂²	1	1	yes	characteristic, complemented
187	#11718398	C₂²	1	1	yes	characteristic, complemented
188	#11718398	C₂²	1	1	yes	characteristic, complemented
189	#11718393	C₂²	1	1	yes	characteristic
190	#11718393	C₂²	1	1	yes	characteristic, complemented
191	#11718388	C₂²	1	1	yes	characteristic
192	#11718388	C₂²	1	1	yes	characteristic
193	#11718380	C₂²	1	1	yes	characteristic, complemented
194	#11718380	C₂²	1	1	yes	characteristic, complemented
195	#11718372	C₂²	1	1	yes	characteristic, complemented
196	#11718372	C₂²	1	1	yes	characteristic, complemented
197	#11718370	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×#97	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	#11718351	C₂²	1	1	yes	characteristic, complemented
202	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	#88256	—	2	4	no	—
205	#88256	—	2	4	no	—
206	C₂×#6131	—	2	1	no	—
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×#6131	C₂³	1	1	yes	characteristic
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×#6129	—	2	1	no	—
211	C₂×D₄×D₁₃	—	2	1	no	—
212	C₂×D₄×D₁₃	—	2	1	no	—
213	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×#6127	—	2	1	no	—
217	C₂×#6127	C₂³	1	1	yes	characteristic
218	C₂²×D₅₂	—	2	1	no	—
219	C₂²×D₅₂	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₁₃	—	2	1	no	—
221	C₂²×C₄×D₁₃	—	2	1	no	—
222	C₂²×C₄×D₁₃	—	2	1	no	—
223	C₂²×C₄×D₁₃	—	2	1	no	—
224	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	#88201	—	2	1	no	—
249	#88201	C₂³	1	1	yes	characteristic
250	#88200	—	2	1	no	—
251	#88200	C₂³	1	1	yes	characteristic
252	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
253	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
254	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
255	#88198	—	2	1	no	—
256	C₂×#6106	C₂³	1	1	yes	characteristic
257	C₂×#6106	C₂³	1	1	yes	characteristic
258	C₂×#6106	C₂³	1	1	yes	characteristic
259	C₂×#6106	C₂³	1	1	yes	characteristic
260	#88194	—	2	1	no	—
261	#88194	C₂³	1	1	yes	characteristic
262	#88193	—	2	1	no	—
263	#88192	C₂³	1	1	yes	characteristic
264	#88191	—	2	1	no	—
265	D₄×Dic₁₃	—	2	1	no	—
266	D₄×Dic₁₃	—	2	1	no	—
267	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×#6104	C₂³	1	1	yes	characteristic
271	C₂×#6104	C₂³	1	1	yes	characteristic
272	C₂×#6104	C₂³	1	1	yes	characteristic
273	C₂×#6104	C₂³	1	1	yes	characteristic
274	#88184	—	2	1	no	—
275	#88184	C₂³	1	1	yes	characteristic
276	#88184	C₂³	1	1	yes	characteristic
277	#88183	—	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	C₂×#6103	—	2	1	no	—
286	C₂×#6103	—	2	1	no	—
287	C₂×#6103	—	2	1	no	—
288	#88180	—	2	1	no	—
289	#88180	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	—	2	1	no	—
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	#88173	—	2	4	no	—
293	#88168	—	2	4	no	—
294	#88168	—	2	4	no	—
295	D₈×D₁₃	—	2	4	no	—
296	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
297	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
298	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
299	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
300	C₂×#6094	C₂³	1	1	yes	characteristic
301	C₂×#6094	C₂³	1	1	yes	characteristic
302	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
304	#88152	—	2	1	no	—
305	#88150	—	2	1	no	—
306	#88150	—	2	1	no	—
307	#88150	—	2	1	no	—
308	#88149	—	2	1	no	—
309	#88149	—	2	1	no	—
310	#88149	C₂³	1	1	yes	characteristic
311	#88149	C₂³	1	1	yes	characteristic
312	#88148	—	2	1	no	—
313	#88148	—	2	1	no	—
314	#88148	—	2	1	no	—
315	#88147	—	2	1	no	—
316	#88147	—	2	1	no	—
317	#88147	—	2	1	no	—
318	#88147	—	2	1	no	—
319	#88147	—	2	1	no	—
320	#88147	—	2	1	no	—
321	#88147	—	2	1	no	—
322	#88147	—	2	1	no	—
323	#88147	—	2	1	no	—
324	#88147	—	2	1	no	—
325	#88147	—	2	1	no	—
326	#88147	D₄	1	1	yes	characteristic
327	#88147	D₄	1	1	yes	characteristic
328	#88147	C₂³	1	1	yes	characteristic
329	#88147	C₂³	1	1	yes	characteristic
330	#88147	C₂³	1	1	yes	characteristic
331	#88147	C₂³	1	1	yes	characteristic
332	#88147	C₂³	1	1	yes	characteristic
333	#88147	C₂³	1	1	yes	characteristic
334	#88146	—	2	1	no	—
335	#88146	—	2	1	no	—
336	#88146	—	2	1	no	—
337	#88146	—	2	1	no	—
338	#88146	C₂³	1	1	yes	characteristic
339	#88146	C₂³	1	1	yes	characteristic
340	#88146	C₂³	1	1	yes	characteristic
341	C₄⋊C₄×D₁₃	—	2	1	no	—
342	C₄⋊C₄×D₁₃	—	2	1	no	—
343	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
346	#88144	C₂³	1	1	yes	characteristic
347	#88143	—	2	1	no	—
348	#88142	C₂³	1	1	yes	characteristic
349	#88141	—	2	1	no	—
350	#88141	D₄	1	1	yes	characteristic
351	#88141	D₄	1	1	yes	characteristic
352	#88140	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88139	—	2	1	no	—
355	#88138	—	2	1	no	—
356	#88138	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88138	—	2	1	no	—
359	#88138	—	2	1	no	—
360	#88138	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88137	—	2	1	no	—
363	#88137	—	2	1	no	—
364	#88136	—	2	1	no	—
365	#88136	—	2	1	no	—
366	#88136	—	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	—	2	1	no	—
375	#88135	D₄	1	1	yes	characteristic
376	#88135	D₄	1	1	yes	characteristic
377	#88135	D₄	1	1	yes	characteristic
378	#88135	D₄	1	1	yes	characteristic
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	C₂²⋊C₄×D₁₃	—	2	1	no	—
382	C₂²⋊C₄×D₁₃	—	2	1	no	—
383	C₂²⋊C₄×D₁₃	—	2	1	no	—
384	C₂²⋊C₄×D₁₃	—	2	1	no	—
385	C₂²⋊C₄×D₁₃	—	2	1	no	—
386	#88133	—	2	1	no	—
387	#88131	—	2	1	no	—
388	#88130	—	2	1	no	—
389	#88129	—	2	1	no	—
390	#88128	C₂³	1	1	yes	characteristic
391	C₄×D₅₂	—	2	1	no	—
392	C₄×D₅₂	—	2	1	no	—
393	C₄×D₅₂	—	2	1	no	—
394	C₄×D₅₂	—	2	1	no	—
395	C₄×D₅₂	—	2	1	no	—
396	C₄×D₅₂	C₂³	1	1	yes	characteristic
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	C₄×D₅₂	C₂³	1	1	yes	characteristic
399	C₄×D₅₂	C₂³	1	1	yes	characteristic
400	C₄×D₅₂	C₂³	1	1	yes	characteristic
401	C₄×D₅₂	C₂³	1	1	yes	characteristic
402	#88126	—	2	1	no	—
403	#88126	—	2	1	no	—
404	#88126	C₂³	1	1	yes	characteristic
405	#88126	C₂³	1	1	yes	characteristic
406	C₄²×D₁₃	—	2	1	no	—
407	C₄²×D₁₃	—	2	1	no	—
408	C₄²×D₁₃	—	2	1	no	—
409	C₄²×D₁₃	C₂³	1	1	yes	characteristic
410	C₄²×D₁₃	C₂³	1	1	yes	characteristic
411	#88124	C₂³	1	1	yes	characteristic
412	C₁₃×#106	C₂³	1	1	yes	characteristic
413	C₁₃×#106	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×#103	C₂³	1	1	yes	characteristic
421	C₁₃×#103	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	#88075	C₂³	1	1	yes	characteristic
433	#88075	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	#88061	C₂³	1	1	yes	characteristic
445	#88061	C₂³	1	1	yes	characteristic
446	#88061	C₂³	1	1	yes	characteristic
447	#88061	C₂³	1	1	yes	characteristic
448	#88060	C₂³	1	1	yes	characteristic
449	#88060	C₂³	1	1	yes	characteristic
450	#88060	C₂³	1	1	yes	characteristic
451	#88060	C₂³	1	1	yes	characteristic
452	#88058	C₂³	1	1	yes	characteristic
453	#88058	C₂³	1	1	yes	characteristic
454	#88057	C₂³	1	1	yes	characteristic
455	#88057	C₂³	1	1	yes	characteristic
456	#88055	C₂³	1	1	yes	characteristic
457	#88055	C₂³	1	1	yes	characteristic
458	#88055	C₂³	1	1	yes	characteristic
459	#88055	C₂³	1	1	yes	characteristic
460	#88054	C₂³	1	1	yes	characteristic
461	#88054	C₂³	1	1	yes	characteristic
462	#88054	C₂³	1	1	yes	characteristic
463	#88054	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	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	#88047	C₂³	1	1	yes	characteristic
477	#88047	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	#60574	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂³×D₁₃	—	2	1	no	—
489	C₁₃×#41	—	2	2	no	—
490	C₁₃×#41	—	2	2	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
503	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×C₂²⋊D₁₃	—	2	1	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	C₂×D₄	1	1	yes	characteristic
513	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×Dic₁₃	—	2	1	no	—
515	C₂²×Dic₁₃	—	2	1	no	—
516	C₂²×Dic₁₃	—	2	1	no	—
517	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
519	#6131	—	2	2	no	—
520	#6131	—	2	2	no	—
521	#6131	—	2	2	no	—
522	#6131	—	2	2	no	—
523	#6131	—	2	2	no	—
524	#6131	—	8	2	no	—
525	#6131	#41	1	4	yes	complemented
526	#6129	—	8	2	no	—
527	D₄×D₁₃	—	2	8	no	—
528	D₄×D₁₃	—	2	8	no	—
529	D₄×D₁₃	—	2	2	no	—
530	D₄×D₁₃	—	2	2	no	—
531	D₄×D₁₃	—	2	2	no	—
532	D₄×D₁₃	—	2	2	no	—
533	D₄×D₁₃	—	2	2	no	—
534	D₄×D₁₃	#41	1	4	yes	complemented
535	#6127	—	2	8	no	—
536	#6127	—	2	2	no	—
537	#6127	—	2	2	no	—
538	C₂×D₅₂	—	2	8	no	—
539	C₂×D₅₂	—	2	1	no	—
540	C₂×D₅₂	—	2	1	no	—
541	C₂×D₅₂	—	2	1	no	—
542	C₂×D₅₂	—	2	2	no	—
543	C₂×D₅₂	—	2	2	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	—	2	1	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	—	2	1	no	—
549	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
550	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
551	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
552	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
553	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₁₃	—	2	1	no	—
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	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	8	2	no	—
573	C₂×C₄×D₁₃	—	8	2	no	—
574	C₂×C₄×D₁₃	—	8	2	no	—
575	C₂×C₄×D₁₃	—	8	2	no	—
576	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×Dic₂₆	—	2	1	no	—
583	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
584	C₁₃×Q₁₆	—	2	2	no	—
585	C₁₃×SD₁₆	—	2	2	no	—
586	C₁₃×SD₁₆	—	2	2	no	—
587	C₁₃×D₈	—	2	2	no	—
588	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
609	C₁₃×C₂²⋊C₄	—	2	1	no	—
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₄²×C₁₃	—	2	1	no	—
614	C₄²×C₁₃	—	2	1	no	—
615	C₄²×C₁₃	—	2	1	no	—
616	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
617	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	—	2	1	no	—
623	#6106	—	2	2	no	—
624	#6106	—	2	2	no	—
625	#6106	—	2	2	no	—
626	#6106	—	2	2	no	—
627	#6104	—	2	2	no	—
628	#6104	—	2	2	no	—
629	#6104	—	2	2	no	—
630	#6104	—	2	2	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	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	C₂×D₄	1	1	yes	characteristic
654	#6103	C₂×D₄	1	1	yes	characteristic
655	#6103	C₂×D₄	1	1	yes	characteristic
656	#6103	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₁₃	—	2	1	no	—
658	C₄⋊Dic₁₃	—	2	1	no	—
659	C₄⋊Dic₁₃	—	2	1	no	—
660	C₄⋊Dic₁₃	—	2	1	no	—
661	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
664	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	C₂×D₄	1	1	yes	characteristic
674	#6101	C₂×D₄	1	1	yes	characteristic
675	#6101	C₂×D₄	1	1	yes	characteristic
676	#6101	C₂×D₄	1	1	yes	characteristic
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	D₁₀₄	—	2	2	no	—
697	D₁₀₄	—	2	2	no	—
698	D₁₀₄	—	2	2	no	—
699	D₁₀₄	—	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	#3460	—	13	1	no	—
705	C₄×H(5,𝔽₂)	—	13	1	no	—
706	#3125	—	13	1	no	—
707	#3125	D₁₃	1	1	yes	characteristic, complemented
708	#3122	—	13	1	no	—
709	#3122	—	13	1	no	—
710	#3119	—	13	1	no	—
711	#3119	—	13	1	no	—
712	#3118	—	13	1	no	—
713	#3118	—	13	1	no	—
714	#3115	—	13	1	no	—
715	#3115	—	13	1	no	—
716	#3114	—	13	1	no	—
717	#3114	—	13	1	no	—
718	#3111	—	13	1	no	—
719	#3111	—	13	1	no	—
720	#3109	—	13	1	no	—
721	#3109	—	13	1	no	—
722	#3099	—	13	1	no	—
723	#3096	—	13	1	no	—
724	#3084	—	13	1	no	—
725	#3081	—	13	1	no	—
726	#3045	—	13	1	no	—
727	#3041	—	13	1	no	—
728	#3012	—	13	1	no	—
729	#3008	—	13	1	no	—
730	C₄×AGL(1,ℤ/8)	—	13	1	no	—
731	C₄×AGL(1,ℤ/8)	—	13	1	no	—
732	#2943	—	13	1	no	—
733	C₂×#442	—	13	1	no	—
734	#2923	—	13	1	no	—
735	C₂³×C₁₃	—	2	1	no	—
736	C₂³×C₁₃	—	2	1	no	—
737	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
738	C₂²×D₁₃	—	2	1	no	—
739	C₂²×D₁₃	—	2	1	no	—
740	C₂²×D₁₃	—	2	4	no	—
741	C₂²×D₁₃	—	2	4	no	—
742	C₂²×D₁₃	—	2	4	no	—
743	C₂²×D₁₃	—	2	1	no	—
744	C₂²×D₁₃	—	2	1	no	—
745	C₂²×D₁₃	—	4	2	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	—	8	1	no	—
751	C₂²×D₁₃	—	8	1	no	—
752	C₂²×D₁₃	—	8	1	no	—
753	C₂²×D₁₃	—	8	1	no	—
754	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	2	1	no	—
758	Q₈×C₁₃	—	2	1	no	—
759	Q₈×C₁₃	—	8	1	no	—
760	Q₈×C₁₃	C₂×#41	1	2	yes	—
761	D₄×C₁₃	—	2	4	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	2	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	D₄×C₁₃	C₂×#41	1	2	yes	—
767	C₂×C₄×C₁₃	—	2	4	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	8	1	no	—
777	C₂×C₄×C₁₃	—	8	1	no	—
778	C₂×C₄×C₁₃	—	8	1	no	—
779	C₂×C₄×C₁₃	—	8	1	no	—
780	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
786	C₂²⋊D₁₃	—	2	4	no	—
787	C₂²⋊D₁₃	—	2	2	no	—
788	C₂²⋊D₁₃	—	2	2	no	—
789	C₂²⋊D₁₃	—	2	4	no	—
790	C₂²⋊D₁₃	—	4	2	no	—
791	C₂²⋊D₁₃	—	8	1	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	C₂×Dic₁₃	—	2	1	no	—
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	4	1	no	—
801	C₂×Dic₁₃	—	4	1	no	—
802	C₂×Dic₁₃	—	4	2	no	—
803	C₂×Dic₁₃	—	4	2	no	—
804	C₂×Dic₁₃	—	8	1	no	—
805	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
811	D₅₂	—	2	4	no	—
812	D₅₂	—	2	4	no	—
813	D₅₂	—	2	2	no	—
814	D₅₂	—	2	4	no	—
815	D₅₂	—	2	1	no	—
816	D₅₂	—	2	1	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	2	1	no	—
820	D₅₂	—	2	1	no	—
821	D₅₂	—	4	2	no	—
822	D₅₂	—	8	1	no	—
823	D₅₂	—	8	1	no	—
824	D₅₂	—	8	1	no	—
825	D₅₂	—	8	1	no	—
826	D₅₂	C₂×#41	1	2	yes	—
827	D₅₂	C₂×#41	1	2	yes	—
828	C₄×D₁₃	—	2	4	no	—
829	C₄×D₁₃	—	2	1	no	—
830	C₄×D₁₃	—	2	1	no	—
831	C₄×D₁₃	—	2	4	no	—
832	C₄×D₁₃	—	4	1	no	—
833	C₄×D₁₃	—	4	1	no	—
834	C₄×D₁₃	—	4	1	no	—
835	C₄×D₁₃	—	4	1	no	—
836	C₄×D₁₃	—	4	2	no	—
837	C₄×D₁₃	—	4	2	no	—
838	C₄×D₁₃	—	4	2	no	—
839	C₄×D₁₃	—	4	2	no	—
840	C₄×D₁₃	—	4	2	no	—
841	C₄×D₁₃	—	8	1	no	—
842	C₄×D₁₃	—	8	1	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	—	8	1	no	—
845	C₄×D₁₃	—	8	1	no	—
846	C₄×D₁₃	—	8	1	no	—
847	C₄×D₁₃	—	8	1	no	—
848	C₄×D₁₃	—	8	1	no	—
849	C₄×D₁₃	—	8	1	no	—
850	C₄×D₁₃	—	8	1	no	—
851	C₄×D₁₃	—	8	1	no	—
852	C₄×D₁₃	C₂×#41	1	2	yes	—
853	C₄×D₁₃	C₂×#41	1	2	yes	—
854	Dic₂₆	—	2	2	no	—
855	Dic₂₆	—	8	1	no	—
856	C₈×C₁₃	—	2	1	no	—
857	C₈×C₁₃	—	2	1	no	—
858	C₈×C₁₃	—	2	1	no	—
859	C₈×C₁₃	—	2	1	no	—
860	#1055	—	2	1	no	—
861	#1055	—	2	1	no	—
862	#1055	—	2	1	no	—
863	#1055	—	2	1	no	—
864	C₂×H(5,𝔽₂)	—	13	1	no	—
865	C₂×AGL(1,ℤ/8)	—	13	1	no	—
866	C₂×AGL(1,ℤ/8)	—	13	1	no	—
867	C₂×#135	—	13	1	no	—
868	C₂²×D₈	—	13	1	no	—
869	#544	—	13	1	no	—
870	#542	—	13	1	no	—
871	#542	—	26	1	no	—
872	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
873	#540	—	13	1	no	—
874	#540	—	13	1	no	—
875	#540	—	26	1	no	—
876	#538	—	26	1	no	—
877	#538	—	26	1	no	—
878	#537	—	13	1	no	—
879	#535	—	13	1	no	—
880	#535	—	13	1	no	—
881	#532	—	13	1	no	—
882	#532	—	13	1	no	—
883	#532	—	26	1	no	—
884	#529	—	13	1	no	—
885	#529	—	13	1	no	—
886	#529	—	26	1	no	—
887	#525	—	26	1	no	—
888	#525	—	26	1	no	—
889	#520	—	13	1	no	—
890	#520	—	13	1	no	—
891	#520	—	13	1	no	—
892	#520	—	26	1	no	—
893	#520	C₂×D₁₃	1	1	yes	characteristic, complemented
894	#518	—	13	1	no	—
895	#518	—	13	1	no	—
896	#518	—	13	1	no	—
897	#518	—	26	1	no	—
898	#518	—	26	1	no	—
899	#518	—	26	1	no	—
900	C₄×#41	—	13	1	no	—
901	C₄×#41	—	13	1	no	—
902	C₄×#41	—	13	1	no	—
903	C₄×#41	—	13	1	no	—
904	C₄×#41	—	13	1	no	—
905	C₄×#41	—	26	1	no	—
906	C₂×C₄×D₄	—	13	1	no	—
907	C₂×C₄×D₄	—	13	1	no	—
908	C₂×C₄×D₄	—	13	1	no	—
909	C₂×C₄×D₄	—	13	1	no	—
910	C₂×C₄×D₄	—	26	1	no	—
911	C₂×C₄×D₄	—	26	1	no	—
912	C₂×C₄×D₄	—	26	1	no	—
913	#485	—	13	1	no	—
914	#485	—	13	1	no	—
915	#483	—	13	1	no	—
916	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
917	#482	—	13	1	no	—
918	#482	—	13	1	no	—
919	#482	—	13	1	no	—
920	#482	—	13	1	no	—
921	#482	—	13	1	no	—
922	#482	—	13	1	no	—
923	#481	—	13	1	no	—
924	#481	—	13	1	no	—
925	#481	—	13	1	no	—
926	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
927	#480	—	13	1	no	—
928	#480	—	13	1	no	—
929	#479	—	13	1	no	—
930	#479	—	13	1	no	—
931	#478	—	13	1	no	—
932	#478	—	13	1	no	—
933	#478	—	13	1	no	—
934	#478	—	13	1	no	—
935	#478	—	13	1	no	—
936	#478	—	13	1	no	—
937	#476	—	13	1	no	—
938	#476	—	13	1	no	—
939	#476	—	13	1	no	—
940	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
941	#475	—	13	1	no	—
942	#475	C₂×D₁₃	1	1	yes	characteristic, complemented
943	#474	—	13	1	no	—
944	#474	—	13	1	no	—
945	#464	—	13	1	no	—
946	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
947	#463	—	13	1	no	—
948	#463	—	13	1	no	—
949	#463	—	13	1	no	—
950	#463	—	13	1	no	—
951	#463	—	13	1	no	—
952	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#460	—	13	1	no	—
954	#460	—	13	1	no	—
955	#459	—	13	1	no	—
956	#459	—	13	1	no	—
957	#459	—	13	1	no	—
958	#459	—	13	1	no	—
959	#459	—	13	1	no	—
960	#459	—	13	1	no	—
961	#452	—	13	1	no	—
962	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
963	#450	—	13	1	no	—
964	#450	—	13	1	no	—
965	#449	—	13	1	no	—
966	#449	—	13	1	no	—
967	#449	—	13	1	no	—
968	#449	—	13	1	no	—
969	#449	—	13	1	no	—
970	#449	C₂×D₁₃	1	1	yes	characteristic
971	#447	—	13	1	no	—
972	#447	—	13	1	no	—
973	#447	—	13	1	no	—
974	#447	—	13	1	no	—
975	#447	—	13	1	no	—
976	#447	—	13	1	no	—
977	#442	—	13	1	no	—
978	#442	—	13	1	no	—
979	#442	—	13	1	no	—
980	#442	—	13	1	no	—
981	#442	—	13	1	no	—
982	#442	—	13	1	no	—
983	#442	—	13	1	no	—
984	#442	—	13	1	no	—
985	#442	—	13	1	no	—
986	#442	—	13	1	no	—
987	#442	—	13	1	no	—
988	#442	—	13	1	no	—
989	#442	—	13	1	no	—
990	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
991	#441	—	13	1	no	—
992	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
993	#440	—	13	1	no	—
994	#440	—	13	1	no	—
995	#440	—	13	1	no	—
996	#440	—	13	1	no	—
997	#440	—	13	1	no	—
998	#440	—	13	1	no	—
999	#440	—	13	1	no	—
1000	#440	—	13	1	no	—
1001	C₄×SD₁₆	—	13	1	no	—
1002	C₄×SD₁₆	—	13	1	no	—
1003	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1004	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	C₄×D₈	—	13	1	no	—
1006	C₄×D₈	—	13	1	no	—
1007	C₄×D₈	—	13	1	no	—
1008	C₄×D₈	—	13	1	no	—
1009	#433	—	13	1	no	—
1010	#433	—	13	1	no	—
1011	#433	—	13	1	no	—
1012	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	#432	—	13	1	no	—
1014	#432	—	13	1	no	—
1015	#432	—	13	1	no	—
1016	#432	—	13	1	no	—
1017	#428	—	13	1	no	—
1018	#428	—	13	1	no	—
1019	#427	—	13	1	no	—
1020	C₂×#106	—	13	1	no	—
1021	#424	—	13	1	no	—
1022	#424	—	13	1	no	—
1023	#418	—	13	1	no	—
1024	#418	—	13	1	no	—
1025	#417	—	13	1	no	—
1026	#417	—	13	1	no	—
1027	#416	—	13	1	no	—
1028	#416	—	13	1	no	—
1029	C₂×#102	—	13	1	no	—
1030	C₂×#102	—	13	1	no	—
1031	#408	—	13	1	no	—
1032	#408	—	13	1	no	—
1033	C₄×M₁₆	—	13	1	no	—
1034	C₂×#97	—	13	1	no	—
1035	C₂²×C₁₃	—	2	1	no	—
1036	C₂²×C₁₃	—	2	1	no	—
1037	C₂²×C₁₃	—	2	1	no	—
1038	C₂²×C₁₃	—	2	2	no	—
1039	C₂²×C₁₃	—	4	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	—	4	1	no	—
1043	C₂²×C₁₃	—	4	1	no	—
1044	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1045	C₂×D₁₃	—	2	1	no	—
1046	C₂×D₁₃	—	2	1	no	—
1047	C₂×D₁₃	—	2	1	no	—
1048	C₂×D₁₃	—	2	1	no	—
1049	C₂×D₁₃	—	2	1	no	—
1050	C₂×D₁₃	—	2	2	no	—
1051	C₂×D₁₃	—	2	2	no	—
1052	C₂×D₁₃	—	4	1	no	—
1053	C₂×D₁₃	—	4	1	no	—
1054	C₂×D₁₃	—	4	1	no	—
1055	C₂×D₁₃	—	4	1	no	—
1056	C₂×D₁₃	—	4	1	no	—
1057	C₂×D₁₃	—	4	1	no	—
1058	C₂×D₁₃	—	4	1	no	—
1059	C₂×D₁₃	—	4	1	no	—
1060	C₂×D₁₃	—	4	1	no	—
1061	C₂×D₁₃	—	4	1	no	—
1062	C₂×D₁₃	—	8	4	no	—
1063	C₂×D₁₃	—	8	4	no	—
1064	C₂×D₁₃	—	8	4	no	—
1065	C₂×D₁₃	—	8	4	no	—
1066	C₂×D₁₃	#525	1	2	yes	—
1067	C₄×C₁₃	—	2	1	no	—
1068	C₄×C₁₃	—	2	1	no	—
1069	C₄×C₁₃	—	2	1	no	—
1070	C₄×C₁₃	—	2	1	no	—
1071	C₄×C₁₃	—	2	1	no	—
1072	C₄×C₁₃	—	2	2	no	—
1073	C₄×C₁₃	—	4	1	no	—
1074	C₄×C₁₃	—	4	1	no	—
1075	C₄×C₁₃	—	4	1	no	—
1076	C₄×C₁₃	—	4	1	no	—
1077	C₄×C₁₃	—	4	1	no	—
1078	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1079	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1080	Dic₁₃	—	2	1	no	—
1081	Dic₁₃	—	2	1	no	—
1082	Dic₁₃	—	2	1	no	—
1083	Dic₁₃	—	2	1	no	—
1084	Dic₁₃	—	2	1	no	—
1085	Dic₁₃	—	4	1	no	—
1086	Dic₁₃	—	4	1	no	—
1087	Dic₁₃	—	4	1	no	—
1088	Dic₁₃	—	4	1	no	—
1089	Dic₁₃	#525	1	2	yes	—
1090	H(5,𝔽₂)	—	26	4	no	—
1091	H(5,𝔽₂)	—	26	4	no	—
1092	C₂×#41	—	13	1	no	—
1093	C₂×#41	—	13	1	no	—
1094	C₂×#41	—	13	1	no	—
1095	C₂×#41	—	13	1	no	—
1096	C₂×#41	—	26	1	no	—
1097	C₂×#41	—	26	1	no	—
1098	C₂×#41	—	26	1	no	—
1099	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1100	C₂²×D₄	—	13	1	no	—
1101	C₂²×D₄	—	13	1	no	—
1102	C₂²×D₄	—	13	1	no	—
1103	C₂²×D₄	—	13	1	no	—
1104	C₂²×D₄	—	26	1	no	—
1105	C₂²×D₄	—	26	1	no	—
1106	C₂²×D₄	—	26	1	no	—
1107	C₂³×C₄	—	26	1	no	—
1108	C₂³×C₄	—	26	1	no	—
1109	C₂³×C₄	—	26	1	no	—
1110	C₂³×C₄	—	26	1	no	—
1111	AGL(1,ℤ/8)	—	26	4	no	—
1112	AGL(1,ℤ/8)	—	26	4	no	—
1113	#135	—	26	4	no	—
1114	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1115	C₂×SD₁₆	—	13	1	no	—
1116	C₂×SD₁₆	—	13	1	no	—
1117	C₂×SD₁₆	—	13	1	no	—
1118	C₂×SD₁₆	—	13	1	no	—
1119	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1121	C₂×D₈	—	13	1	no	—
1122	C₂×D₈	—	13	1	no	—
1123	C₂×D₈	—	13	1	no	—
1124	C₂×D₈	—	13	1	no	—
1125	C₂×D₈	—	13	1	no	—
1126	C₂×D₈	—	13	1	no	—
1127	C₂×D₈	—	13	1	no	—
1128	C₂×D₈	—	13	1	no	—
1129	C₂×D₈	—	26	4	no	—
1130	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1131	C₂×M₁₆	—	13	1	no	—
1132	C₂×M₁₆	—	13	1	no	—
1133	C₂²×C₈	—	13	1	no	—
1134	C₂²×C₈	—	13	1	no	—
1135	C₄⋊Q₈	—	13	1	no	—
1136	C₄⋊Q₈	—	26	1	no	—
1137	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1138	#127	—	13	1	no	—
1139	#127	—	13	1	no	—
1140	#127	—	26	1	no	—
1141	#126	—	2	1	no	—
1142	#126	—	26	1	no	—
1143	#126	—	26	1	no	—
1144	#126	—	26	1	no	—
1145	#125	—	13	1	no	—
1146	#125	—	13	1	no	—
1147	#125	—	26	1	no	—
1148	#124	—	2	1	no	—
1149	#124	—	13	1	no	—
1150	#124	—	26	1	no	—
1151	#124	—	26	1	no	—
1152	#124	—	26	1	no	—
1153	#124	—	26	1	no	—
1154	#124	C₂²×D₁₃	1	1	yes	characteristic
1155	#123	—	2	1	no	—
1156	#123	—	26	1	no	—
1157	#123	—	26	1	no	—
1158	#123	—	26	1	no	—
1159	#123	—	26	1	no	—
1160	#123	—	26	1	no	—
1161	#123	—	26	1	no	—
1162	#123	—	26	1	no	—
1163	C₂²⋊Q₈	—	2	1	no	—
1164	C₂²⋊Q₈	—	13	1	no	—
1165	C₂²⋊Q₈	—	26	1	no	—
1166	C₂²⋊Q₈	—	26	1	no	—
1167	C₂²⋊Q₈	—	26	1	no	—
1168	C₂²⋊Q₈	—	26	1	no	—
1169	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1170	#121	—	13	1	no	—
1171	#121	—	13	1	no	—
1172	#121	—	13	1	no	—
1173	#121	—	13	1	no	—
1174	#121	—	13	1	no	—
1175	#121	—	26	1	no	—
1176	#121	—	26	1	no	—
1177	#121	—	26	1	no	—
1178	#121	—	26	1	no	—
1179	#121	—	26	1	no	—
1180	#121	—	26	1	no	—
1181	#121	—	26	1	no	—
1182	#121	—	26	1	no	—
1183	#121	—	26	1	no	—
1184	#121	—	26	1	no	—
1185	#121	—	26	1	no	—
1186	#121	C₂²×D₁₃	1	1	yes	characteristic
1187	#120	—	26	1	no	—
1188	#120	—	26	1	no	—
1189	#120	—	26	1	no	—
1190	#120	—	26	1	no	—
1191	C₄×Q₈	—	13	1	no	—
1192	C₄×Q₈	—	13	1	no	—
1193	C₄×Q₈	—	13	1	no	—
1194	C₄×Q₈	—	13	1	no	—
1195	C₄×Q₈	—	13	1	no	—
1196	C₄×Q₈	—	26	1	no	—
1197	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1198	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1199	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	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	—	13	1	no	—
1212	C₄×D₄	—	13	1	no	—
1213	C₄×D₄	—	13	1	no	—
1214	C₄×D₄	—	13	1	no	—
1215	C₄×D₄	—	13	1	no	—
1216	C₄×D₄	—	13	1	no	—
1217	C₄×D₄	—	13	1	no	—
1218	C₄×D₄	—	13	1	no	—
1219	C₄×D₄	—	13	1	no	—
1220	C₄×D₄	—	13	1	no	—
1221	C₄×D₄	—	13	1	no	—
1222	C₄×D₄	—	13	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	—	26	1	no	—
1245	C₄×D₄	—	26	1	no	—
1246	C₄×D₄	—	26	1	no	—
1247	C₄×D₄	—	26	1	no	—
1248	C₄×D₄	—	26	1	no	—
1249	C₄×D₄	—	26	1	no	—
1250	C₄×D₄	—	26	1	no	—
1251	C₄×D₄	—	26	1	no	—
1252	C₄×D₄	—	26	1	no	—
1253	C₄×D₄	—	26	1	no	—
1254	C₄×D₄	—	26	1	no	—
1255	C₄×D₄	—	26	1	no	—
1256	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1257	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1258	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1259	#117	—	2	1	no	—
1260	#117	—	13	1	no	—
1261	#117	—	13	1	no	—
1262	#117	—	13	1	no	—
1263	#117	—	13	1	no	—
1264	#117	—	13	1	no	—
1265	#117	—	13	1	no	—
1266	#117	—	26	1	no	—
1267	#117	—	26	1	no	—
1268	#117	—	26	1	no	—
1269	#117	—	26	1	no	—
1270	#117	—	26	1	no	—
1271	#117	—	26	1	no	—
1272	#117	—	26	1	no	—
1273	#117	—	26	1	no	—
1274	#117	C₂²×D₁₃	1	1	yes	characteristic
1275	C₂×C₄⋊C₄	—	2	1	no	—
1276	C₂×C₄⋊C₄	—	13	1	no	—
1277	C₂×C₄⋊C₄	—	13	1	no	—
1278	C₂×C₄⋊C₄	—	13	1	no	—
1279	C₂×C₄⋊C₄	—	26	1	no	—
1280	C₂×C₄⋊C₄	—	26	1	no	—
1281	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1282	C₂×C₂²⋊C₄	—	26	1	no	—
1283	C₂×C₂²⋊C₄	—	26	1	no	—
1284	C₂×C₂²⋊C₄	—	26	1	no	—
1285	C₂×C₂²⋊C₄	—	26	1	no	—
1286	C₂×C₂²⋊C₄	—	26	1	no	—
1287	C₂×C₂²⋊C₄	—	26	1	no	—
1288	C₂×C₂²⋊C₄	—	26	1	no	—
1289	C₂×C₂²⋊C₄	—	26	1	no	—
1290	C₂×C₂²⋊C₄	—	26	1	no	—
1291	C₂×C₂²⋊C₄	—	26	1	no	—
1292	C₂×C₄²	—	13	1	no	—
1293	C₂×C₄²	—	13	1	no	—
1294	C₂×C₄²	—	13	1	no	—
1295	C₂×C₄²	—	26	1	no	—
1296	C₂×C₄²	—	26	1	no	—
1297	C₂×C₄²	—	26	1	no	—
1298	C₂×C₄²	—	26	1	no	—
1299	#107	—	13	1	no	—
1300	#107	—	13	1	no	—
1301	#107	—	13	1	no	—
1302	#107	—	13	1	no	—
1303	#107	—	13	1	no	—
1304	#107	—	13	1	no	—
1305	#106	—	13	1	no	—
1306	#106	—	13	1	no	—
1307	#106	—	13	1	no	—
1308	#106	—	13	1	no	—
1309	#106	—	13	1	no	—
1310	#106	—	13	1	no	—
1311	#106	C₂²×D₁₃	1	1	yes	characteristic
1312	#106	C₂²×D₁₃	1	1	yes	characteristic
1313	#106	C₂²×D₁₃	1	1	yes	characteristic
1314	#106	C₂²×D₁₃	1	1	yes	characteristic
1315	C₄⋊C₈	—	13	1	no	—
1316	C₄⋊C₈	—	13	1	no	—
1317	C₄⋊C₈	—	13	1	no	—
1318	C₄⋊C₈	—	13	1	no	—
1319	C₄⋊C₈	—	13	1	no	—
1320	C₄⋊C₈	—	13	1	no	—
1321	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1322	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	—	13	1	no	—
1326	#103	—	13	1	no	—
1327	#103	C₂²×D₁₃	1	1	yes	characteristic
1328	#103	C₂²×D₁₃	1	1	yes	characteristic
1329	#103	C₂²×D₁₃	1	1	yes	characteristic
1330	#103	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	C₂²×D₁₃	1	1	yes	characteristic
1352	#102	C₂²×D₁₃	1	1	yes	characteristic
1353	#102	C₂²×D₁₃	1	1	yes	characteristic
1354	#102	C₂²×D₁₃	1	1	yes	characteristic
1355	C₂²⋊C₈	—	13	1	no	—
1356	C₂²⋊C₈	—	13	1	no	—
1357	C₂²⋊C₈	—	13	1	no	—
1358	C₂²⋊C₈	—	13	1	no	—
1359	C₂²⋊C₈	—	13	1	no	—
1360	C₂²⋊C₈	—	13	1	no	—
1361	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1362	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1363	#97	—	13	1	no	—
1364	#97	—	13	1	no	—
1365	#97	—	13	1	no	—
1366	#97	—	13	1	no	—
1367	#97	—	13	1	no	—
1368	#97	C₂²×D₁₃	1	1	yes	characteristic
1369	C₄×C₈	—	13	1	no	—
1370	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1371	C₂×C₁₃	—	4	1	no	—
1372	C₂×C₁₃	—	4	2	no	—
1373	C₂×C₁₃	—	8	1	no	—
1374	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1375	C₂×C₁₃	#3585	1	1	yes	characteristic
1376	C₂×C₁₃	#3585	1	1	yes	characteristic
1377	D₁₃	—	2	2	no	—
1378	D₁₃	—	4	1	no	—
1379	D₁₃	—	4	2	no	—
1380	D₁₃	—	4	2	no	—
1381	D₁₃	—	8	1	no	—
1382	D₁₃	—	8	1	no	—
1383	C₂⁴	—	26	1	no	—
1384	C₂⁴	—	26	1	no	—
1385	C₂⁴	—	26	1	no	—
1386	C₂⁴	—	26	1	no	—
1387	#41	—	2	2	no	—
1388	#41	—	2	2	no	—
1389	#41	—	13	4	no	—
1390	#41	—	26	2	no	—
1391	#41	—	26	2	no	—
1392	#41	—	26	8	no	—
1393	#41	—	26	2	no	—
1394	#41	—	26	2	no	—
1395	#41	—	26	2	no	—
1396	#41	—	26	2	no	—
1397	#41	—	26	2	no	—
1398	#41	—	104	2	no	—
1399	#41	—	104	2	no	—
1400	C₂×Q₈	—	2	1	no	—
1401	C₂×Q₈	—	13	1	no	—
1402	C₂×Q₈	—	26	1	no	—
1403	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1404	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	13	4	no	—
1408	C₂×D₄	—	13	1	no	—
1409	C₂×D₄	—	13	1	no	—
1410	C₂×D₄	—	13	1	no	—
1411	C₂×D₄	—	13	1	no	—
1412	C₂×D₄	—	13	1	no	—
1413	C₂×D₄	—	13	1	no	—
1414	C₂×D₄	—	13	1	no	—
1415	C₂×D₄	—	26	2	no	—
1416	C₂×D₄	—	26	2	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	1	no	—
1419	C₂×D₄	—	26	8	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	26	1	no	—
1423	C₂×D₄	—	26	2	no	—
1424	C₂×D₄	—	26	2	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	—	26	1	no	—
1430	C₂×D₄	—	26	1	no	—
1431	C₂×D₄	—	26	2	no	—
1432	C₂×D₄	—	26	8	no	—
1433	C₂×D₄	—	26	8	no	—
1434	C₂×D₄	—	26	2	no	—
1435	C₂×D₄	—	26	1	no	—
1436	C₂×D₄	—	26	1	no	—
1437	C₂×D₄	—	26	1	no	—
1438	C₂×D₄	—	26	1	no	—
1439	C₂×D₄	—	26	1	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1442	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	13	1	no	—
1449	C₂²×C₄	—	13	1	no	—
1450	C₂²×C₄	—	13	1	no	—
1451	C₂²×C₄	—	13	1	no	—
1452	C₂²×C₄	—	13	1	no	—
1453	C₂²×C₄	—	13	1	no	—
1454	C₂²×C₄	—	13	1	no	—
1455	C₂²×C₄	—	13	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	—	26	1	no	—
1467	C₂²×C₄	—	26	1	no	—
1468	C₂²×C₄	—	26	1	no	—
1469	C₂²×C₄	—	26	1	no	—
1470	C₂²×C₄	—	26	1	no	—
1471	C₂²×C₄	—	26	1	no	—
1472	C₂²×C₄	—	26	1	no	—
1473	C₂²×C₄	—	26	1	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	26	1	no	—
1476	C₂²×C₄	—	26	1	no	—
1477	C₂²×C₄	—	104	2	no	—
1478	C₂²×C₄	—	104	2	no	—
1479	C₂²×C₄	—	104	2	no	—
1480	C₂²×C₄	—	104	2	no	—
1481	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1482	Q₁₆	—	2	2	no	—
1483	SD₁₆	—	2	2	no	—
1484	SD₁₆	—	2	2	no	—
1485	SD₁₆	—	26	2	no	—
1486	SD₁₆	—	26	2	no	—
1487	SD₁₆	—	26	2	no	—
1488	SD₁₆	—	26	2	no	—
1489	D₈	—	2	2	no	—
1490	D₈	—	26	2	no	—
1491	D₈	—	26	2	no	—
1492	D₈	—	26	2	no	—
1493	D₈	—	26	2	no	—
1494	D₈	—	26	2	no	—
1495	D₈	—	26	2	no	—
1496	D₈	—	26	2	no	—
1497	D₈	—	26	2	no	—
1498	M₁₆	—	26	2	no	—
1499	M₁₆	—	26	2	no	—
1500	C₂×C₈	—	13	1	no	—
1501	C₂×C₈	—	13	1	no	—
1502	C₂×C₈	—	13	1	no	—
1503	C₂×C₈	—	13	1	no	—
1504	C₂×C₈	—	26	2	no	—
1505	C₂×C₈	—	26	2	no	—
1506	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1508	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1509	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	13	1	no	—
1517	C₄⋊C₄	—	13	1	no	—
1518	C₄⋊C₄	—	13	1	no	—
1519	C₄⋊C₄	—	13	1	no	—
1520	C₄⋊C₄	—	13	1	no	—
1521	C₄⋊C₄	—	13	1	no	—
1522	C₄⋊C₄	—	13	1	no	—
1523	C₄⋊C₄	—	13	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	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	—	26	1	no	—
1535	C₄⋊C₄	—	26	1	no	—
1536	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1537	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1538	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1539	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1540	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1541	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	13	1	no	—
1550	C₂²⋊C₄	—	13	1	no	—
1551	C₂²⋊C₄	—	13	1	no	—
1552	C₂²⋊C₄	—	13	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	—	26	1	no	—
1571	C₂²⋊C₄	—	26	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₂²⋊C₄	—	26	1	no	—
1575	C₂²⋊C₄	—	26	1	no	—
1576	C₂²⋊C₄	—	26	1	no	—
1577	C₂²⋊C₄	—	26	1	no	—
1578	C₂²⋊C₄	—	26	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1581	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1582	C₄²	—	2	1	no	—
1583	C₄²	—	2	1	no	—
1584	C₄²	—	2	1	no	—
1585	C₄²	—	13	1	no	—
1586	C₄²	—	13	1	no	—
1587	C₄²	—	13	1	no	—
1588	C₄²	—	13	1	no	—
1589	C₄²	—	13	1	no	—
1590	C₄²	—	13	1	no	—
1591	C₄²	—	13	1	no	—
1592	C₄²	—	13	1	no	—
1593	C₄²	—	26	1	no	—
1594	C₄²	—	26	1	no	—
1595	C₄²	—	26	1	no	—
1596	C₄²	—	26	1	no	—
1597	C₄²	—	26	1	no	—
1598	C₄²	—	26	1	no	—
1599	C₄²	—	26	1	no	—
1600	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1601	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1602	C₁₃	#60574	1	1	yes	characteristic, complemented, Sylow
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	13	1	no	—
1606	C₂³	—	13	1	no	—
1607	C₂³	—	26	4	no	—
1608	C₂³	—	26	4	no	—
1609	C₂³	—	26	4	no	—
1610	C₂³	—	26	1	no	—
1611	C₂³	—	26	1	no	—
1612	C₂³	—	26	1	no	—
1613	C₂³	—	26	1	no	—
1614	C₂³	—	52	2	no	—
1615	C₂³	—	104	1	no	—
1616	C₂³	—	104	1	no	—
1617	C₂³	—	104	1	no	—
1618	C₂³	—	104	1	no	—
1619	C₂³	—	104	1	no	—
1620	C₂³	—	104	1	no	—
1621	C₂³	—	104	1	no	—
1622	C₂³	—	104	1	no	—
1623	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1624	Q₈	—	2	1	no	—
1625	Q₈	—	2	1	no	—
1626	Q₈	—	2	1	no	—
1627	Q₈	—	8	1	no	—
1628	Q₈	—	26	2	no	—
1629	Q₈	—	104	1	no	—
1630	Q₈	#41×D₁₃	1	2	yes	—
1631	D₄	—	2	4	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	8	1	no	—
1636	D₄	—	13	2	no	—
1637	D₄	—	13	2	no	—
1638	D₄	—	26	2	no	—
1639	D₄	—	26	4	no	—
1640	D₄	—	26	4	no	—
1641	D₄	—	26	4	no	—
1642	D₄	—	26	2	no	—
1643	D₄	—	26	4	no	—
1644	D₄	—	26	2	no	—
1645	D₄	—	26	4	no	—
1646	D₄	—	26	1	no	—
1647	D₄	—	26	1	no	—
1648	D₄	—	26	1	no	—
1649	D₄	—	26	1	no	—
1650	D₄	—	26	1	no	—
1651	D₄	—	26	1	no	—
1652	D₄	—	52	2	no	—
1653	D₄	—	52	2	no	—
1654	D₄	—	104	1	no	—
1655	D₄	—	104	1	no	—
1656	D₄	—	104	1	no	—
1657	D₄	—	104	1	no	—
1658	D₄	—	104	1	no	—
1659	D₄	—	104	1	no	—
1660	D₄	—	104	1	no	—
1661	D₄	—	104	1	no	—
1662	D₄	—	104	1	no	—
1663	D₄	#41×D₁₃	1	2	yes	—
1664	C₂×C₄	—	2	4	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	8	1	no	—
1674	C₂×C₄	—	8	1	no	—
1675	C₂×C₄	—	8	1	no	—
1676	C₂×C₄	—	8	1	no	—
1677	C₂×C₄	—	13	1	no	—
1678	C₂×C₄	—	13	2	no	—
1679	C₂×C₄	—	13	2	no	—
1680	C₂×C₄	—	13	1	no	—
1681	C₂×C₄	—	13	1	no	—
1682	C₂×C₄	—	13	1	no	—
1683	C₂×C₄	—	13	1	no	—
1684	C₂×C₄	—	13	1	no	—
1685	C₂×C₄	—	26	4	no	—
1686	C₂×C₄	—	26	4	no	—
1687	C₂×C₄	—	26	1	no	—
1688	C₂×C₄	—	26	1	no	—
1689	C₂×C₄	—	26	1	no	—
1690	C₂×C₄	—	26	1	no	—
1691	C₂×C₄	—	26	1	no	—
1692	C₂×C₄	—	26	1	no	—
1693	C₂×C₄	—	52	1	no	—
1694	C₂×C₄	—	52	1	no	—
1695	C₂×C₄	—	52	1	no	—
1696	C₂×C₄	—	52	1	no	—
1697	C₂×C₄	—	52	2	no	—
1698	C₂×C₄	—	52	2	no	—
1699	C₂×C₄	—	52	2	no	—
1700	C₂×C₄	—	52	2	no	—
1701	C₂×C₄	—	52	2	no	—
1702	C₂×C₄	—	52	1	no	—
1703	C₂×C₄	—	52	1	no	—
1704	C₂×C₄	—	52	2	no	—
1705	C₂×C₄	—	52	2	no	—
1706	C₂×C₄	—	104	1	no	—
1707	C₂×C₄	—	104	1	no	—
1708	C₂×C₄	—	104	1	no	—
1709	C₂×C₄	—	104	1	no	—
1710	C₂×C₄	—	104	1	no	—
1711	C₂×C₄	—	104	1	no	—
1712	C₂×C₄	—	104	1	no	—
1713	C₂×C₄	—	104	1	no	—
1714	C₂×C₄	—	104	1	no	—
1715	C₂×C₄	—	104	1	no	—
1716	C₂×C₄	—	104	1	no	—
1717	C₂×C₄	—	104	1	no	—
1718	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1719	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1720	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1721	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1722	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1723	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	2	1	no	—
1727	C₈	—	2	1	no	—
1728	C₈	—	26	1	no	—
1729	C₈	—	26	1	no	—
1730	C₈	—	26	1	no	—
1731	C₈	—	26	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	2	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	13	2	no	—
1742	C₂²	—	26	1	no	—
1743	C₂²	—	26	1	no	—
1744	C₂²	—	26	2	no	—
1745	C₂²	—	26	2	no	—
1746	C₂²	—	26	1	no	—
1747	C₂²	—	26	1	no	—
1748	C₂²	—	26	1	no	—
1749	C₂²	—	52	1	no	—
1750	C₂²	—	52	1	no	—
1751	C₂²	—	52	1	no	—
1752	C₂²	—	52	1	no	—
1753	C₂²	—	52	1	no	—
1754	C₂²	—	52	1	no	—
1755	C₂²	—	52	1	no	—
1756	C₂²	—	52	1	no	—
1757	C₂²	—	52	1	no	—
1758	C₂²	—	52	1	no	—
1759	C₂²	—	104	4	no	—
1760	C₂²	—	104	4	no	—
1761	C₂²	—	104	4	no	—
1762	C₂²	—	104	4	no	—
1763	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1764	C₄	—	2	1	no	—
1765	C₄	—	2	2	no	—
1766	C₄	—	2	1	no	—
1767	C₄	—	2	1	no	—
1768	C₄	—	2	1	no	—
1769	C₄	—	2	1	no	—
1770	C₄	—	4	1	no	—
1771	C₄	—	4	1	no	—
1772	C₄	—	4	1	no	—
1773	C₄	—	4	1	no	—
1774	C₄	—	4	1	no	—
1775	C₄	—	13	2	no	—
1776	C₄	—	26	1	no	—
1777	C₄	—	26	1	no	—
1778	C₄	—	26	1	no	—
1779	C₄	—	26	1	no	—
1780	C₄	—	26	1	no	—
1781	C₄	—	52	1	no	—
1782	C₄	—	52	1	no	—
1783	C₄	—	52	1	no	—
1784	C₄	—	52	1	no	—
1785	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1786	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1787	C₂	—	4	1	no	—
1788	C₂	—	4	2	no	—
1789	C₂	—	8	1	no	—
1790	C₂	—	26	2	no	—
1791	C₂	—	52	1	no	—
1792	C₂	—	52	2	no	—
1793	C₂	—	52	2	no	—
1794	C₂	—	104	1	no	—
1795	C₂	—	104	1	no	—
1796	C₂	D₁₃×#525	1	1	yes	characteristic
1797	C₂	#13129614	1	1	yes	characteristic
1798	C₂	#13129614	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×#3125	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3125	D₁₃
hypocenter	C₁₃	#60574
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3125

Complements

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

N	H ≅ G/N	type
1. #13128256	C₂	semidirect
2. #13128042	C₂	semidirect
3. #13125111	C₂	semidirect
4. #13125080	C₂	semidirect
5. #13125078	C₂	semidirect
6. #13125041	C₂	semidirect
7. #13125035	C₂	semidirect
8. #13125026	C₂	semidirect
9. #13125014	C₂	semidirect
10. #13124990	C₂	semidirect
11. #13124980	C₂	semidirect
12. #13124977	C₂	semidirect
13. #13124973	C₂	semidirect
14. #13124946	C₂	semidirect
15. #13124944	C₂	semidirect
16. #13124929	C₂	semidirect
17. #13124924	C₂	semidirect
18. #13124820	C₂	semidirect
19. #13124793	C₂	semidirect
20. #13124695	C₂	semidirect
21. #13124662	C₂	semidirect
22. #13124378	C₂	semidirect
23. #13124337	C₂	semidirect
24. #13124144	C₂	semidirect
25. #13124101	C₂	semidirect
26. C₄×#88168	C₂	semidirect
27. C₄×#88168	C₂	semidirect
28. #13123635	C₂	semidirect
29. D₁₃×#442	C₂	semidirect
30. #13123484	C₂	semidirect
31. C₁₃×#3125	C₂	semidirect
33. C₁₃×#542	C₂²	semidirect
34. C₁₃×#520	C₂²	semidirect
35. #41×Dic₁₃	C₂²	semidirect
40. #11719434	C₂²	semidirect
41. #11719430	C₂²	semidirect
44. #11719385	C₂²	semidirect
46. #11719379	C₂²	semidirect
53. #11719329	C₂²	semidirect
55. #11719301	C₂²	semidirect
56. #11719287	C₂²	semidirect
58. #11719279	C₂²	semidirect
60. C₄×#6131	C₂²	semidirect
61. C₄×#6131	C₂²	semidirect
62. #11719267	C₂²	semidirect
66. #11719250	C₂²	semidirect
70. C₄×D₄×D₁₃	C₂²	semidirect
71. C₄×D₄×D₁₃	C₂²	semidirect
72. #11719240	C₂²	semidirect
76. #11719226	C₂²	semidirect
80. C₂×#88147	C₂²	semidirect
81. C₁₃×#483	C₂²	semidirect
82. C₁₃×#481	C₂²	semidirect
83. C₁₃×#476	C₂²	semidirect
84. C₁₃×#475	C₂²	semidirect
85. C₁₃×#464	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#452	C₂²	semidirect
89. C₁₃×#442	C₂²	semidirect
90. C₁₃×#441	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₄×C₁₃×SD₁₆	C₂²	semidirect
93. C₁₃×#433	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718848	C₂²	semidirect
97. #11718846	C₂²	semidirect
98. #11718845	C₂²	semidirect
100. #11718830	C₂²	semidirect
101. #11718826	C₂²	semidirect
102. #11718825	C₂²	semidirect
103. #11718825	C₂²	semidirect
104. #11718824	C₂²	semidirect
106. #11718813	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. #11718748	C₂²	semidirect
109. #11718745	C₂²	semidirect
110. #11718718	C₂²	semidirect
111. #11718718	C₂²	semidirect
112. #11718707	C₂²	semidirect
113. #11718706	C₂²	semidirect
115. #11718696	C₂²	semidirect
116. #11718688	C₂²	semidirect
117. #11718687	C₂²	semidirect
118. #11718687	C₂²	semidirect
119. C₄×#6106	C₂²	semidirect
120. C₄×#6106	C₂²	semidirect
121. #11718683	C₂²	semidirect
122. #11718676	C₂²	semidirect
123. #11718675	C₂²	semidirect
124. #11718675	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. C₄×#6104	C₂²	semidirect
127. #11718670	C₂²	semidirect
128. #11718661	C₂²	semidirect
129. #11718629	C₂²	semidirect
130. #11718628	C₂²	semidirect
131. #11718532	C₂²	semidirect
132. #11718532	C₂²	semidirect
133. #11718531	C₂²	semidirect
134. #11718531	C₂²	semidirect
135. #11718530	C₂²	semidirect
136. #11718530	C₂²	semidirect
137. #11718530	C₂²	semidirect
138. #11718530	C₂²	semidirect
139. #11718527	C₂²	semidirect
140. #11718527	C₂²	semidirect
141. #11718524	C₂²	semidirect
142. #11718524	C₂²	semidirect
143. #11718522	C₂²	semidirect
144. #11718522	C₂²	semidirect
145. #11718521	C₂²	semidirect
146. D₁₃×#106	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718508	C₂²	semidirect
149. #11718504	C₂²	semidirect
150. #11718504	C₂²	semidirect
151. #11718500	C₂²	semidirect
152. #11718500	C₂²	semidirect
153. #11718496	C₂²	semidirect
154. #11718496	C₂²	semidirect
155. #11718480	C₂²	semidirect
156. #11718480	C₂²	semidirect
157. #11718478	C₂²	semidirect
158. #11718478	C₂²	semidirect
159. #11718478	C₂²	semidirect
160. #11718478	C₂²	semidirect
161. #11718475	C₂²	semidirect
163. #11718472	C₂²	semidirect
164. #11718466	C₂²	semidirect
166. #11718465	C₂²	semidirect
168. #11718464	C₂²	semidirect
169. #11718457	C₂²	semidirect
170. #11718452	C₂²	semidirect
171. #11718447	C₂²	semidirect
172. #11718447	C₂²	semidirect
173. #11718446	C₂²	semidirect
174. #11718446	C₂²	semidirect
175. #11718446	C₂²	semidirect
176. #11718446	C₂²	semidirect
177. #11718440	C₂²	semidirect
178. #11718435	C₂²	semidirect
180. #11718434	C₂²	semidirect
182. #11718431	C₂²	semidirect
184. D₁₃×#102	C₂²	semidirect
185. #11718424	C₂²	semidirect
186. #11718420	C₂²	semidirect
187. #11718398	C₂²	semidirect
188. #11718398	C₂²	semidirect
190. #11718393	C₂²	semidirect
193. #11718380	C₂²	semidirect
194. #11718380	C₂²	semidirect
195. #11718372	C₂²	semidirect
196. #11718372	C₂²	semidirect
197. #11718370	C₂²	semidirect
198. D₁₃×#97	C₂²	semidirect
199. C₄×D₁₀₄	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. C₄×#6094	C₂²	semidirect
525. #6131	#41	semidirect
534. D₄×D₁₃	#41	semidirect
707. #3125	D₁₃	semidirect
872. #542	C₂×D₁₃	semidirect
893. #520	C₂×D₁₃	semidirect
916. #483	C₂×D₁₃	semidirect
926. #481	C₂×D₁₃	semidirect
940. #476	C₂×D₁₃	semidirect
942. #475	C₂×D₁₃	semidirect
946. #464	C₂×D₁₃	semidirect
952. #463	C₂×D₁₃	semidirect
962. #452	C₂×D₁₃	semidirect
990. #442	C₂×D₁₃	semidirect
992. #441	C₂×D₁₃	semidirect
1003. C₄×SD₁₆	C₂×D₁₃	semidirect
1004. C₄×SD₁₆	C₂×D₁₃	semidirect
1012. #433	C₂×D₁₃	semidirect
1602. C₁₃	#60574	semidirect

Maximal subgroups

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

subgroup	index
#13128256	2
#13128042	2
#13125111	2
#13125080	2
#13125078	2
#13125041	2
#13125035	2
#13125026	2
#13125014	2
#13124990	2
#13124980	2
#13124977	2
#13124973	2
#13124946	2
#13124944	2
#13124929	2
#13124924	2
#13124820	2
#13124793	2
#13124695	2
#13124662	2
#13124378	2
#13124337	2
#13124144	2
#13124101	2
C₄×#88168	2
#13123635	2
D₁₃×#442	2
#13123484	2
C₁₃×#3125	2
#60574	13