Subgroups — #16747803

Order 3328.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128672	C₂	1	1	yes	maximal, characteristic
2	D₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127013	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127011	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127009	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127007	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126894	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126892	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126882	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126880	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126410	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126406	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126402	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126345	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126344	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126341	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126340	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125867	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125859	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125667	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125664	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125609	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125588	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125011	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125006	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124071	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124068	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718847	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123861	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#548	C₂²	1	1	yes	characteristic
38	#11719534	C₂²	1	1	yes	characteristic
39	#11719533	C₂²	1	1	yes	characteristic
40	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
41	#11719522	C₂²	1	1	yes	characteristic
42	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
43	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88200	C₂²	1	1	yes	characteristic
45	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
48	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
49	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
50	#11719432	—	2	1	no	—
51	#11719432	C₂²	1	1	yes	characteristic
52	D₁₃×C₄⋊Q₈	—	2	1	no	—
53	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	#11719385	C₂²	1	1	yes	characteristic
55	#11719384	—	2	1	no	—
56	#11719383	—	2	1	no	—
57	#11719381	C₂²	1	1	yes	characteristic
58	#11719344	C₂²	1	1	yes	characteristic
59	#11719343	—	2	1	no	—
60	#11719342	—	2	1	no	—
61	#11719337	—	2	1	no	—
62	#11719337	—	2	1	no	—
63	#11719337	C₂²	1	1	yes	characteristic
64	#11719337	C₂²	1	1	yes	characteristic, complemented
65	#11719332	C₂²	1	1	yes	characteristic
66	D₁₃×C₂²⋊Q₈	—	2	1	no	—
67	D₁₃×C₂²⋊Q₈	—	2	1	no	—
68	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
69	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
70	#11719323	C₂²	1	1	yes	characteristic
71	#11719310	—	2	1	no	—
72	D₁₃×#121	C₂²	1	1	yes	characteristic
73	#11719306	—	2	1	no	—
74	#11719286	C₂²	1	1	yes	characteristic
75	#11719285	C₂²	1	1	yes	characteristic
76	Q₈×D₅₂	C₂²	1	1	yes	characteristic
77	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
78	#11719270	C₂²	1	1	yes	characteristic
79	#11719250	—	2	1	no	—
80	C₄×D₄×D₁₃	—	2	1	no	—
81	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
82	#11719245	—	2	1	no	—
83	D₄×Dic₂₆	—	2	1	no	—
84	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718889	C₂²	1	1	yes	characteristic, complemented
98	#11718888	C₂²	1	1	yes	characteristic, complemented
99	#11718888	C₂²	1	1	yes	characteristic, complemented
100	#11718886	C₂²	1	1	yes	characteristic, complemented
101	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
102	#11718851	C₂²	1	1	yes	characteristic, complemented
103	#11718851	C₂²	1	1	yes	characteristic, complemented
104	#11718850	C₂²	1	1	yes	characteristic, complemented
105	#11718849	C₂²	1	1	yes	characteristic, complemented
106	#11718849	C₂²	1	1	yes	characteristic, complemented
107	#11718848	C₂²	1	1	yes	characteristic, complemented
108	#11718847	C₂²	1	1	yes	characteristic, complemented
109	#11718847	C₂²	1	1	yes	characteristic, complemented
110	#11718847	C₂²	1	1	yes	characteristic, complemented
111	#11718847	C₂²	1	1	yes	characteristic, complemented
112	#11718847	C₂²	1	1	yes	characteristic, complemented
113	#11718847	C₂²	1	1	yes	characteristic, complemented
114	#11718847	C₂²	1	1	yes	characteristic, complemented
115	#11718847	C₂²	1	1	yes	characteristic, complemented
116	#11718847	C₂²	1	1	yes	characteristic, complemented
117	#11718847	C₂²	1	1	yes	characteristic, complemented
118	#11718847	C₂²	1	1	yes	characteristic, complemented
119	#11718847	C₂²	1	1	yes	characteristic, complemented
120	#11718846	C₂²	1	1	yes	characteristic, complemented
121	#11718845	C₂²	1	1	yes	characteristic, complemented
122	#11718843	C₂²	1	1	yes	characteristic, complemented
123	#11718843	C₂²	1	1	yes	characteristic, complemented
124	#11718835	C₂²	1	1	yes	characteristic, complemented
125	#11718831	C₂²	1	1	yes	characteristic
126	#11718831	C₂²	1	1	yes	characteristic
127	#11718831	C₂²	1	1	yes	characteristic
128	#11718831	C₂²	1	1	yes	characteristic, complemented
129	#11718831	C₂²	1	1	yes	characteristic, complemented
130	#11718830	C₂²	1	1	yes	characteristic, complemented
131	#11718825	C₂²	1	1	yes	characteristic, complemented
132	#11718823	C₂²	1	1	yes	characteristic, complemented
133	#11718823	C₂²	1	1	yes	characteristic, complemented
134	#11718795	C₂²	1	1	yes	characteristic, complemented
135	#11718788	C₂²	1	1	yes	characteristic
136	#11718787	C₂²	1	1	yes	characteristic, complemented
137	#11718781	C₂²	1	1	yes	characteristic, complemented
138	#11718775	C₂²	1	1	yes	characteristic, complemented
139	#11718772	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88060	C₂²	1	1	yes	characteristic
141	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
142	#11718744	C₂²	1	1	yes	characteristic, complemented
143	#11718743	C₂²	1	1	yes	characteristic, complemented
144	#11718721	C₂²	1	1	yes	characteristic, complemented
145	#11718715	C₂²	1	1	yes	characteristic, complemented
146	#11718713	C₂²	1	1	yes	characteristic, complemented
147	#11718711	C₂²	1	1	yes	characteristic, complemented
148	#11718710	C₂²	1	1	yes	characteristic, complemented
149	#11718709	C₂²	1	1	yes	characteristic, complemented
150	#11718706	C₂²	1	1	yes	characteristic, complemented
151	#11718705	C₂²	1	1	yes	characteristic, complemented
152	#11718702	C₂²	1	1	yes	characteristic, complemented
153	#11718701	C₂²	1	1	yes	characteristic, complemented
154	#11718692	C₂²	1	1	yes	characteristic, complemented
155	#11718691	C₂²	1	1	yes	characteristic, complemented
156	#11718687	C₂²	1	1	yes	characteristic, complemented
157	#11718683	C₂²	1	1	yes	characteristic, complemented
158	#11718672	C₂²	1	1	yes	characteristic, complemented
159	#11718528	C₂²	1	1	yes	characteristic, complemented
160	#11718524	C₂²	1	1	yes	characteristic
161	#11718523	C₂²	1	1	yes	characteristic, complemented
162	#11718518	C₂²	1	1	yes	characteristic, complemented
163	#11718502	C₂²	1	1	yes	characteristic, complemented
164	#11718497	C₂²	1	1	yes	characteristic
165	#11718496	C₂²	1	1	yes	characteristic, complemented
166	#11718490	C₂²	1	1	yes	characteristic, complemented
167	#11718477	C₂²	1	1	yes	characteristic, complemented
168	#11718475	C₂²	1	1	yes	characteristic, complemented
169	#11718474	C₂²	1	1	yes	characteristic, complemented
170	#11718474	C₂²	1	1	yes	characteristic, complemented
171	#11718471	C₂²	1	1	yes	characteristic, complemented
172	#11718470	C₂²	1	1	yes	characteristic, complemented
173	#11718470	C₂²	1	1	yes	characteristic, complemented
174	#11718467	C₂²	1	1	yes	characteristic
175	#11718467	C₂²	1	1	yes	characteristic
176	#11718467	C₂²	1	1	yes	characteristic
177	#11718466	C₂²	1	1	yes	characteristic, complemented
178	#11718463	C₂²	1	1	yes	characteristic, complemented
179	#11718463	C₂²	1	1	yes	characteristic, complemented
180	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
181	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
182	#11718459	C₂²	1	1	yes	characteristic, complemented
183	#11718458	C₂²	1	1	yes	characteristic, complemented
184	#11718458	C₂²	1	1	yes	characteristic, complemented
185	#11718457	C₂²	1	1	yes	characteristic, complemented
186	#11718450	C₂²	1	1	yes	characteristic, complemented
187	#11718441	C₂²	1	1	yes	characteristic, complemented
188	#11718438	C₂²	1	1	yes	characteristic
189	#11718437	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718399	C₂²	1	1	yes	characteristic, complemented
193	#11718391	C₂²	1	1	yes	characteristic, complemented
194	#11718389	C₂²	1	1	yes	characteristic
195	#11718387	C₂²	1	1	yes	characteristic, complemented
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	#11718384	C₂²	1	1	yes	characteristic, complemented
198	#11718383	C₂²	1	1	yes	characteristic, complemented
199	#11718371	C₂²	1	1	yes	characteristic, complemented
200	#11718367	C₂²	1	1	yes	characteristic
201	#11718366	C₂²	1	1	yes	characteristic, complemented
202	#11718364	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	—	2	1	no	—
209	C₂×Q₈×D₁₃	—	2	1	no	—
210	C₂×Q₈×D₁₃	—	2	1	no	—
211	C₂×Q₈×D₁₃	—	2	1	no	—
212	C₂×Q₈×D₁₃	—	4	2	no	—
213	C₂×Q₈×D₁₃	—	4	2	no	—
214	C₂×Q₈×D₁₃	—	4	2	no	—
215	C₂×Q₈×D₁₃	—	4	2	no	—
216	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₁₃	—	2	1	no	—
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂²×Dic₂₆	—	2	1	no	—
231	C₂²×Dic₂₆	—	2	1	no	—
232	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
233	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
234	C₁₃×#137	—	4	2	no	—
235	C₂×C₁₃×Q₁₆	—	4	2	no	—
236	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₁₃×C₄⋊Q₈	—	2	1	no	—
248	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₃×#124	—	2	1	no	—
250	C₁₃×#124	C₂³	1	1	yes	characteristic
251	C₁₃×C₂²⋊Q₈	—	2	1	no	—
252	C₁₃×C₂²⋊Q₈	—	2	1	no	—
253	C₁₃×C₂²⋊Q₈	—	2	1	no	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₃×#121	—	2	1	no	—
258	C₁₃×#121	C₂³	1	1	yes	characteristic
259	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	#88205	—	4	2	no	—
265	#88201	—	2	1	no	—
266	#88201	C₂³	1	1	yes	characteristic
267	#88200	—	2	1	no	—
268	#88200	—	2	1	no	—
269	#88200	—	2	1	no	—
270	#88200	—	2	1	no	—
271	#88200	—	2	1	no	—
272	#88200	C₂³	1	1	yes	characteristic
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	#88200	C₂³	1	1	yes	characteristic
277	#88200	C₂³	1	1	yes	characteristic
278	#88200	C₂³	1	1	yes	characteristic
279	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
280	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
281	#88198	—	2	1	no	—
282	#88198	—	2	1	no	—
283	#88198	C₂³	1	1	yes	characteristic
284	#88198	C₂³	1	1	yes	characteristic
285	C₂×#6107	—	4	2	no	—
286	C₂×#6107	C₂³	1	1	yes	characteristic
287	C₂×#6107	C₂³	1	1	yes	characteristic
288	C₂×#6107	C₂³	1	1	yes	characteristic
289	C₂×#6107	C₂³	1	1	yes	characteristic
290	C₂×#6107	C₂³	1	1	yes	characteristic
291	C₂×#6107	C₂³	1	1	yes	characteristic
292	C₂×#6106	C₂³	1	1	yes	characteristic
293	C₂×#6106	C₂³	1	1	yes	characteristic
294	C₂×#6106	C₂³	1	1	yes	characteristic
295	#88193	—	2	1	no	—
296	#88193	—	2	1	no	—
297	#88193	—	2	1	no	—
298	#88193	—	2	1	no	—
299	#88192	C₂³	1	1	yes	characteristic
300	#88192	C₂³	1	1	yes	characteristic
301	#88191	—	2	1	no	—
302	#88191	—	2	1	no	—
303	#88189	—	2	1	no	—
304	D₄×Dic₁₃	—	2	1	no	—
305	D₄×Dic₁₃	—	2	1	no	—
306	D₄×Dic₁₃	D₄	1	1	yes	characteristic
307	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×#6105	C₂³	1	1	yes	characteristic
309	C₂×#6105	C₂³	1	1	yes	characteristic
310	C₂×#6105	C₂³	1	1	yes	characteristic
311	#88184	—	2	1	no	—
312	#88184	C₂³	1	1	yes	characteristic
313	#88184	C₂³	1	1	yes	characteristic
314	#88183	—	2	1	no	—
315	C₄×C₂²⋊D₁₃	—	2	1	no	—
316	C₄×C₂²⋊D₁₃	—	2	1	no	—
317	C₄×C₂²⋊D₁₃	—	2	1	no	—
318	C₄×C₂²⋊D₁₃	—	2	1	no	—
319	C₄×C₂²⋊D₁₃	—	2	1	no	—
320	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
321	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
322	C₂×#6103	—	2	1	no	—
323	C₂×#6103	—	2	1	no	—
324	#88180	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
326	#88178	—	2	1	no	—
327	#88178	—	2	1	no	—
328	#88178	C₂³	1	1	yes	characteristic
329	#88178	C₂³	1	1	yes	characteristic
330	C₂×#6101	—	2	1	no	—
331	C₂×#6099	C₂³	1	1	yes	characteristic
332	C₂²×#1055	C₂³	1	1	yes	characteristic
333	#88172	—	4	2	no	—
334	#88172	—	4	2	no	—
335	SD₁₆×D₁₃	—	4	2	no	—
336	SD₁₆×D₁₃	—	4	2	no	—
337	C₂×#6095	C₂³	1	1	yes	characteristic
338	C₂×#6095	C₂³	1	1	yes	characteristic
339	C₂×#6095	C₂³	1	1	yes	characteristic
340	C₂×#6094	C₂³	1	1	yes	characteristic
341	C₂×#6094	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
344	#88152	—	2	1	no	—
345	#88152	—	2	1	no	—
346	#88151	—	2	1	no	—
347	#88151	—	2	1	no	—
348	#88151	C₂³	1	1	yes	characteristic
349	#88151	C₂³	1	1	yes	characteristic
350	#88150	—	2	1	no	—
351	#88150	—	2	1	no	—
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88150	—	2	1	no	—
355	#88150	—	2	1	no	—
356	#88149	C₂³	1	1	yes	characteristic
357	#88148	—	2	1	no	—
358	#88148	—	2	1	no	—
359	#88148	—	2	1	no	—
360	#88147	—	2	1	no	—
361	#88147	—	2	1	no	—
362	#88147	D₄	1	1	yes	characteristic
363	#88146	—	2	1	no	—
364	#88146	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₃	—	2	1	no	—
366	C₄⋊C₄×D₁₃	—	2	1	no	—
367	C₄⋊C₄×D₁₃	—	2	1	no	—
368	C₄⋊C₄×D₁₃	—	2	1	no	—
369	C₄⋊C₄×D₁₃	—	2	1	no	—
370	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
373	#88144	C₂³	1	1	yes	characteristic
374	#88143	—	2	1	no	—
375	#88143	—	2	1	no	—
376	#88142	—	2	1	no	—
377	#88142	—	2	1	no	—
378	#88142	—	2	1	no	—
379	#88142	—	2	1	no	—
380	#88142	—	2	1	no	—
381	#88142	—	2	1	no	—
382	#88141	—	2	1	no	—
383	#88141	C₂³	1	1	yes	characteristic
384	#88140	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88137	—	2	1	no	—
389	#88137	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88136	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88135	—	2	1	no	—
394	#88135	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	#88135	D₄	1	1	yes	characteristic
399	#88135	D₄	1	1	yes	characteristic
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	C₂²⋊C₄×D₁₃	—	2	1	no	—
403	C₂²⋊C₄×D₁₃	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
405	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
406	#88133	—	2	1	no	—
407	#88133	—	2	1	no	—
408	#88133	—	2	1	no	—
409	#88132	—	2	1	no	—
410	#88132	—	2	1	no	—
411	#88132	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88131	—	2	1	no	—
416	#88130	—	2	1	no	—
417	C₄×D₅₂	—	2	1	no	—
418	C₄×D₅₂	—	2	1	no	—
419	C₄×D₅₂	C₂³	1	1	yes	characteristic
420	C₄×D₅₂	C₂³	1	1	yes	characteristic
421	#88126	—	2	1	no	—
422	#88126	—	2	1	no	—
423	C₄²×D₁₃	—	2	1	no	—
424	C₄²×D₁₃	C₂³	1	1	yes	characteristic
425	#88124	C₂³	1	1	yes	characteristic
426	#88123	—	2	1	no	—
427	#88123	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	—	2	1	no	—
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#106	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×#97	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88075	C₂³	1	1	yes	characteristic
451	#88075	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88058	C₂³	1	1	yes	characteristic
465	#88058	C₂³	1	1	yes	characteristic
466	#88057	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88056	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88056	C₂³	1	1	yes	characteristic
475	#88056	C₂³	1	1	yes	characteristic
476	#88055	C₂³	1	1	yes	characteristic
477	#88055	C₂³	1	1	yes	characteristic
478	#88054	C₂³	1	1	yes	characteristic
479	#88054	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88050	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	#88043	C₂³	1	1	yes	characteristic
490	#61574	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₂×Q₈×C₁₃	—	2	1	no	—
497	C₂×Q₈×C₁₃	—	2	1	no	—
498	C₂×Q₈×C₁₃	—	2	1	no	—
499	C₂×Q₈×C₁₃	—	2	2	no	—
500	C₂×Q₈×C₁₃	—	2	2	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	—	4	1	no	—
503	C₂×Q₈×C₁₃	—	4	1	no	—
504	C₂×Q₈×C₁₃	—	4	1	no	—
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	—	2	1	no	—
530	C₂²×Dic₁₃	—	2	1	no	—
531	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
533	#6131	—	4	1	no	—
534	#6131	—	4	1	no	—
535	Q₈×D₁₃	—	2	2	no	—
536	Q₈×D₁₃	—	2	2	no	—
537	Q₈×D₁₃	—	2	2	no	—
538	Q₈×D₁₃	—	2	2	no	—
539	Q₈×D₁₃	—	2	2	no	—
540	Q₈×D₁₃	—	2	2	no	—
541	Q₈×D₁₃	—	4	1	no	—
542	Q₈×D₁₃	—	4	1	no	—
543	Q₈×D₁₃	—	4	1	no	—
544	Q₈×D₁₃	—	4	1	no	—
545	Q₈×D₁₃	—	4	1	no	—
546	Q₈×D₁₃	—	4	1	no	—
547	Q₈×D₁₃	—	4	1	no	—
548	Q₈×D₁₃	—	4	1	no	—
549	Q₈×D₁₃	—	4	4	no	—
550	Q₈×D₁₃	—	4	4	no	—
551	Q₈×D₁₃	—	4	4	no	—
552	Q₈×D₁₃	—	4	4	no	—
553	D₄×D₁₃	—	2	4	no	—
554	D₄×D₁₃	—	4	1	no	—
555	D₄×D₁₃	—	4	1	no	—
556	D₄×D₁₃	—	4	4	no	—
557	C₂×D₅₂	—	2	1	no	—
558	C₂×D₅₂	—	2	1	no	—
559	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
560	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
573	C₂×C₄×D₁₃	—	4	1	no	—
574	C₂×C₄×D₁₃	—	4	1	no	—
575	C₂×C₄×D₁₃	—	4	1	no	—
576	C₂×C₄×D₁₃	—	4	4	no	—
577	C₂×C₄×D₁₃	—	4	4	no	—
578	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
587	C₂×Dic₂₆	—	2	1	no	—
588	C₂×Dic₂₆	—	2	2	no	—
589	C₂×Dic₂₆	—	2	2	no	—
590	C₂×Dic₂₆	—	2	1	no	—
591	C₂×Dic₂₆	—	2	1	no	—
592	C₂×Dic₂₆	—	2	1	no	—
593	C₂×Dic₂₆	—	2	1	no	—
594	C₂×Dic₂₆	—	2	1	no	—
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	1	no	—
597	C₂×Dic₂₆	—	2	1	no	—
598	C₂×Dic₂₆	—	4	1	no	—
599	C₂×Dic₂₆	—	4	1	no	—
600	C₂×Dic₂₆	—	4	4	no	—
601	C₂×Dic₂₆	—	4	4	no	—
602	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
603	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
605	C₁₃×Q₁₆	—	2	2	no	—
606	C₁₃×Q₁₆	—	2	2	no	—
607	C₁₃×Q₁₆	—	4	1	no	—
608	C₁₃×Q₁₆	—	4	1	no	—
609	C₁₃×Q₁₆	—	4	1	no	—
610	C₁₃×Q₁₆	—	4	1	no	—
611	C₁₃×SD₁₆	—	2	2	no	—
612	C₁₃×SD₁₆	—	4	1	no	—
613	C₁₃×SD₁₆	—	4	1	no	—
614	C₁₃×M₁₆	—	4	1	no	—
615	C₂×C₈×C₁₃	—	4	1	no	—
616	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	—	2	1	no	—
626	C₁₃×C₄⋊C₄	—	2	1	no	—
627	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₄²×C₁₃	—	2	1	no	—
639	C₄²×C₁₃	—	2	1	no	—
640	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
649	#6107	—	2	2	no	—
650	#6107	—	2	2	no	—
651	#6107	—	4	1	no	—
652	#6107	—	4	1	no	—
653	#6107	—	4	1	no	—
654	#6107	—	4	1	no	—
655	#6106	—	2	2	no	—
656	#6106	—	4	1	no	—
657	#6106	—	4	1	no	—
658	#6105	—	2	2	no	—
659	#6105	—	4	1	no	—
660	#6105	—	4	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	C₂×D₄	1	1	yes	characteristic
678	#6103	C₂×D₄	1	1	yes	characteristic
679	#6103	C₂×D₄	1	1	yes	characteristic
680	#6103	C₂×D₄	1	1	yes	characteristic
681	C₄⋊Dic₁₃	—	2	1	no	—
682	C₄⋊Dic₁₃	—	2	1	no	—
683	C₄⋊Dic₁₃	—	2	1	no	—
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	—	2	1	no	—
686	C₄⋊Dic₁₃	—	2	1	no	—
687	C₄⋊Dic₁₃	—	2	1	no	—
688	C₄⋊Dic₁₃	—	2	1	no	—
689	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
690	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
693	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	C₂×D₄	1	1	yes	characteristic
715	#6101	C₂×D₄	1	1	yes	characteristic
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
723	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
724	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
725	#6099	—	4	1	no	—
726	C₂×#1055	—	4	1	no	—
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	#6095	—	2	2	no	—
732	#6095	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6094	—	4	1	no	—
735	#6094	—	4	1	no	—
736	C₈×D₁₃	—	4	1	no	—
737	C₈×D₁₃	—	4	1	no	—
738	#3505	—	13	1	no	—
739	C₂×D₄×Q₈	—	13	1	no	—
740	#3320	—	13	1	no	—
741	#3320	—	13	1	no	—
742	#3320	—	13	1	no	—
743	#3320	—	13	1	no	—
744	#3312	—	13	1	no	—
745	#3312	—	13	1	no	—
746	#3312	—	13	1	no	—
747	#3312	—	13	1	no	—
748	#3270	—	13	1	no	—
749	#3270	—	13	1	no	—
750	#3270	—	13	1	no	—
751	#3270	D₁₃	1	1	yes	characteristic, complemented
752	#3266	—	13	1	no	—
753	#3266	—	13	1	no	—
754	#3266	—	13	1	no	—
755	#3266	—	13	1	no	—
756	#3218	—	13	1	no	—
757	#3218	—	13	1	no	—
758	#3196	—	13	1	no	—
759	#3196	—	13	1	no	—
760	#3189	—	13	1	no	—
761	#3187	—	13	1	no	—
762	#3117	—	13	1	no	—
763	#3117	—	13	1	no	—
764	#3004	—	13	1	no	—
765	#3004	—	13	1	no	—
766	C₂×#451	—	13	1	no	—
767	C₂×#448	—	13	1	no	—
768	#2973	—	13	1	no	—
769	C₂³×C₁₃	—	2	1	no	—
770	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂²×D₁₃	—	2	2	no	—
773	C₂²×D₁₃	—	2	1	no	—
774	C₂²×D₁₃	—	4	1	no	—
775	C₂²×D₁₃	—	4	1	no	—
776	C₂²×D₁₃	—	4	1	no	—
777	C₂²×D₁₃	—	4	1	no	—
778	C₂²×D₁₃	—	4	2	no	—
779	C₂²×D₁₃	—	8	1	no	—
780	C₂²×D₁₃	—	8	1	no	—
781	C₂²×D₁₃	#137	1	4	yes	complemented
782	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	Q₈×C₁₃	—	2	1	no	—
788	Q₈×C₁₃	—	2	1	no	—
789	Q₈×C₁₃	—	2	1	no	—
790	Q₈×C₁₃	—	2	1	no	—
791	Q₈×C₁₃	—	2	1	no	—
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	4	2	no	—
795	Q₈×C₁₃	—	4	2	no	—
796	Q₈×C₁₃	—	8	1	no	—
797	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
798	D₄×C₁₃	—	2	2	no	—
799	D₄×C₁₃	—	2	1	no	—
800	D₄×C₁₃	—	2	1	no	—
801	D₄×C₁₃	—	4	2	no	—
802	D₄×C₁₃	—	8	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	4	2	no	—
815	C₂×C₄×C₁₃	—	4	2	no	—
816	C₂×C₄×C₁₃	—	8	1	no	—
817	C₂×C₄×C₁₃	—	8	1	no	—
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
823	C₂²⋊D₁₃	—	2	2	no	—
824	C₂²⋊D₁₃	—	2	2	no	—
825	C₂²⋊D₁₃	—	4	2	no	—
826	C₂²⋊D₁₃	—	4	2	no	—
827	C₂²⋊D₁₃	—	8	1	no	—
828	C₂²⋊D₁₃	—	8	1	no	—
829	C₂²⋊D₁₃	—	8	1	no	—
830	C₂×Dic₁₃	—	2	1	no	—
831	C₂×Dic₁₃	—	2	1	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	2	1	no	—
834	C₂×Dic₁₃	—	2	1	no	—
835	C₂×Dic₁₃	—	2	1	no	—
836	C₂×Dic₁₃	—	2	1	no	—
837	C₂×Dic₁₃	—	4	1	no	—
838	C₂×Dic₁₃	—	4	1	no	—
839	C₂×Dic₁₃	—	4	2	no	—
840	C₂×Dic₁₃	—	4	2	no	—
841	C₂×Dic₁₃	—	8	1	no	—
842	C₂×Dic₁₃	—	8	1	no	—
843	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
848	D₅₂	—	2	2	no	—
849	D₅₂	—	2	1	no	—
850	D₅₂	—	2	1	no	—
851	D₅₂	—	4	2	no	—
852	D₅₂	—	8	1	no	—
853	C₄×D₁₃	—	2	4	no	—
854	C₄×D₁₃	—	2	2	no	—
855	C₄×D₁₃	—	2	1	no	—
856	C₄×D₁₃	—	2	1	no	—
857	C₄×D₁₃	—	2	1	no	—
858	C₄×D₁₃	—	2	1	no	—
859	C₄×D₁₃	—	2	1	no	—
860	C₄×D₁₃	—	2	1	no	—
861	C₄×D₁₃	—	4	1	no	—
862	C₄×D₁₃	—	4	1	no	—
863	C₄×D₁₃	—	4	1	no	—
864	C₄×D₁₃	—	4	1	no	—
865	C₄×D₁₃	—	4	1	no	—
866	C₄×D₁₃	—	4	2	no	—
867	C₄×D₁₃	—	4	2	no	—
868	C₄×D₁₃	—	4	2	no	—
869	C₄×D₁₃	—	4	2	no	—
870	C₄×D₁₃	—	4	2	no	—
871	C₄×D₁₃	—	4	2	no	—
872	C₄×D₁₃	—	4	2	no	—
873	C₄×D₁₃	—	4	2	no	—
874	C₄×D₁₃	—	8	1	no	—
875	C₄×D₁₃	—	8	1	no	—
876	Dic₂₆	—	2	4	no	—
877	Dic₂₆	—	2	1	no	—
878	Dic₂₆	—	2	1	no	—
879	Dic₂₆	—	2	1	no	—
880	Dic₂₆	—	2	1	no	—
881	Dic₂₆	—	2	1	no	—
882	Dic₂₆	—	4	2	no	—
883	Dic₂₆	—	4	2	no	—
884	Dic₂₆	—	4	2	no	—
885	Dic₂₆	—	4	2	no	—
886	Dic₂₆	—	4	2	no	—
887	Dic₂₆	—	4	2	no	—
888	Dic₂₆	—	4	2	no	—
889	Dic₂₆	—	4	2	no	—
890	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
891	C₈×C₁₃	—	2	1	no	—
892	C₈×C₁₃	—	2	1	no	—
893	C₈×C₁₃	—	2	1	no	—
894	C₈×C₁₃	—	2	1	no	—
895	#1055	—	2	1	no	—
896	#1055	—	2	1	no	—
897	#1055	—	2	1	no	—
898	#1055	—	2	1	no	—
899	C₂³×Q₈	—	13	1	no	—
900	C₂³×Q₈	—	13	1	no	—
901	C₂×#137	—	13	1	no	—
902	C₂×#137	—	13	1	no	—
903	C₂×#137	—	13	1	no	—
904	C₂×#137	C₂×D₁₃	1	1	yes	characteristic, complemented
905	C₂²×Q₁₆	—	13	1	no	—
906	C₂²×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
907	C₂²×SD₁₆	—	13	1	no	—
908	C₂²×SD₁₆	—	13	1	no	—
909	#553	—	13	1	no	—
910	#553	—	13	1	no	—
911	#553	—	26	1	no	—
912	#553	—	26	1	no	—
913	#552	—	13	1	no	—
914	#552	—	13	1	no	—
915	#551	—	26	1	no	—
916	#551	—	26	1	no	—
917	D₄×Q₈	—	13	1	no	—
918	D₄×Q₈	—	13	1	no	—
919	D₄×Q₈	—	13	1	no	—
920	D₄×Q₈	—	13	1	no	—
921	D₄×Q₈	—	13	1	no	—
922	D₄×Q₈	—	13	1	no	—
923	D₄×Q₈	—	13	1	no	—
924	D₄×Q₈	—	26	1	no	—
925	D₄×Q₈	—	26	1	no	—
926	D₄×Q₈	—	26	1	no	—
927	D₄×Q₈	—	26	1	no	—
928	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
929	#548	—	13	1	no	—
930	#548	C₂×D₁₃	1	1	yes	characteristic
931	#546	—	13	1	no	—
932	#546	—	13	1	no	—
933	#539	—	26	1	no	—
934	#538	—	26	1	no	—
935	#534	—	26	1	no	—
936	C₂×C₄⋊Q₈	—	13	1	no	—
937	C₂×C₄⋊Q₈	—	26	1	no	—
938	#529	—	13	1	no	—
939	#529	—	13	1	no	—
940	#525	—	13	1	no	—
941	#525	—	13	1	no	—
942	C₂×C₂²⋊Q₈	—	13	1	no	—
943	C₂×C₂²⋊Q₈	—	13	1	no	—
944	C₂×C₂²⋊Q₈	—	13	1	no	—
945	C₂×C₂²⋊Q₈	—	26	1	no	—
946	C₂×C₂²⋊Q₈	—	26	1	no	—
947	C₂×#121	—	13	1	no	—
948	#518	—	26	1	no	—
949	C₂×C₄×Q₈	—	13	1	no	—
950	C₂×C₄×D₄	—	13	1	no	—
951	C₂×C₄×D₄	—	26	1	no	—
952	#497	—	13	1	no	—
953	#497	—	13	1	no	—
954	#497	—	13	1	no	—
955	#497	C₂×D₁₃	1	1	yes	characteristic, complemented
956	#491	—	13	1	no	—
957	#491	—	13	1	no	—
958	#491	—	13	1	no	—
959	#491	—	13	1	no	—
960	#485	—	13	1	no	—
961	#485	—	13	1	no	—
962	#485	—	13	1	no	—
963	#485	—	13	1	no	—
964	#484	—	13	1	no	—
965	#484	—	13	1	no	—
966	#484	—	13	1	no	—
967	#484	—	13	1	no	—
968	#483	—	13	1	no	—
969	#483	—	13	1	no	—
970	#481	—	13	1	no	—
971	#481	—	13	1	no	—
972	#479	—	13	1	no	—
973	#479	—	13	1	no	—
974	#479	—	13	1	no	—
975	#479	—	13	1	no	—
976	#470	—	13	1	no	—
977	#470	—	13	1	no	—
978	#470	—	13	1	no	—
979	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
980	#468	—	13	1	no	—
981	#468	—	13	1	no	—
982	#468	—	13	1	no	—
983	#468	—	13	1	no	—
984	#467	—	13	1	no	—
985	#467	—	13	1	no	—
986	#467	—	13	1	no	—
987	#467	—	13	1	no	—
988	#465	—	13	1	no	—
989	#465	—	13	1	no	—
990	#465	—	13	1	no	—
991	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
992	#464	—	13	1	no	—
993	#464	—	13	1	no	—
994	#464	—	13	1	no	—
995	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#462	—	13	1	no	—
997	#462	—	13	1	no	—
998	#462	—	13	1	no	—
999	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
1000	#461	—	13	1	no	—
1001	#461	—	13	1	no	—
1002	#461	—	13	1	no	—
1003	#461	—	13	1	no	—
1004	#452	—	13	1	no	—
1005	#452	—	13	1	no	—
1006	#452	—	13	1	no	—
1007	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	#451	—	13	1	no	—
1009	#451	—	13	1	no	—
1010	#451	—	13	1	no	—
1011	#451	—	13	1	no	—
1012	#451	—	13	1	no	—
1013	#451	—	13	1	no	—
1014	#451	—	13	1	no	—
1015	#451	—	13	1	no	—
1016	#451	—	13	1	no	—
1017	#451	—	13	1	no	—
1018	#451	—	13	1	no	—
1019	#451	—	13	1	no	—
1020	#451	—	13	1	no	—
1021	#451	—	13	1	no	—
1022	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1023	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1024	#450	—	13	1	no	—
1025	#450	—	13	1	no	—
1026	#448	—	13	1	no	—
1027	#448	—	13	1	no	—
1028	#448	—	13	1	no	—
1029	#448	—	13	1	no	—
1030	#448	—	13	1	no	—
1031	#448	—	13	1	no	—
1032	#448	—	13	1	no	—
1033	#448	—	13	1	no	—
1034	#448	—	13	1	no	—
1035	#448	—	13	1	no	—
1036	#448	—	13	1	no	—
1037	#448	—	13	1	no	—
1038	#448	—	13	1	no	—
1039	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1040	#441	—	13	1	no	—
1041	#441	—	13	1	no	—
1042	#441	—	13	1	no	—
1043	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
1044	#440	—	13	1	no	—
1045	#440	—	13	1	no	—
1046	#440	—	13	1	no	—
1047	#440	—	13	1	no	—
1048	#435	—	13	1	no	—
1049	#435	—	13	1	no	—
1050	#435	—	13	1	no	—
1051	#435	—	13	1	no	—
1052	#435	—	13	1	no	—
1053	#435	—	13	1	no	—
1054	#435	—	13	1	no	—
1055	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1056	#432	—	13	1	no	—
1057	#432	—	13	1	no	—
1058	#419	—	13	1	no	—
1059	#419	—	13	1	no	—
1060	#419	—	13	1	no	—
1061	#419	—	13	1	no	—
1062	C₂×#103	—	13	1	no	—
1063	C₂×#103	—	13	1	no	—
1064	C₂×#103	—	13	1	no	—
1065	C₂×#103	—	13	1	no	—
1066	#407	—	13	1	no	—
1067	#407	—	13	1	no	—
1068	C₂×C₂²⋊C₈	—	13	1	no	—
1069	C₂×C₂²⋊C₈	—	13	1	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	2	1	no	—
1072	C₂²×C₁₃	—	2	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	2	1	no	—
1075	C₂²×C₁₃	—	4	1	no	—
1076	C₂²×C₁₃	—	4	1	no	—
1077	C₂²×C₁₃	—	4	1	no	—
1078	C₂²×C₁₃	C₂×#137	1	2	yes	—
1079	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1080	C₂×D₁₃	—	2	1	no	—
1081	C₂×D₁₃	—	2	1	no	—
1082	C₂×D₁₃	—	2	1	no	—
1083	C₂×D₁₃	—	2	1	no	—
1084	C₂×D₁₃	—	2	1	no	—
1085	C₂×D₁₃	—	2	1	no	—
1086	C₂×D₁₃	—	2	1	no	—
1087	C₂×D₁₃	—	4	4	no	—
1088	C₂×D₁₃	—	4	4	no	—
1089	C₂×D₁₃	—	4	1	no	—
1090	C₂×D₁₃	—	4	1	no	—
1091	C₂×D₁₃	—	4	1	no	—
1092	C₂×D₁₃	—	16	2	no	—
1093	C₂×D₁₃	C₂×#137	1	2	yes	—
1094	C₂×D₁₃	C₂×#137	1	2	yes	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	2	2	no	—
1097	C₄×C₁₃	—	2	1	no	—
1098	C₄×C₁₃	—	2	1	no	—
1099	C₄×C₁₃	—	2	1	no	—
1100	C₄×C₁₃	—	4	1	no	—
1101	C₄×C₁₃	—	4	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	—	4	1	no	—
1104	C₄×C₁₃	—	4	1	no	—
1105	C₄×C₁₃	—	4	1	no	—
1106	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1107	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	2	1	no	—
1110	Dic₁₃	—	2	2	no	—
1111	Dic₁₃	—	2	1	no	—
1112	Dic₁₃	—	2	1	no	—
1113	Dic₁₃	—	2	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	—	4	1	no	—
1116	Dic₁₃	—	4	1	no	—
1117	Dic₁₃	—	4	1	no	—
1118	Dic₁₃	—	4	1	no	—
1119	Dic₁₃	—	4	1	no	—
1120	C₂×#41	—	13	1	no	—
1121	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1122	C₂²×Q₈	—	13	1	no	—
1123	C₂²×Q₈	—	13	1	no	—
1124	C₂²×Q₈	—	13	1	no	—
1125	C₂²×Q₈	—	13	1	no	—
1126	C₂²×Q₈	—	13	1	no	—
1127	C₂²×Q₈	—	13	1	no	—
1128	C₂²×Q₈	—	13	1	no	—
1129	C₂²×Q₈	—	13	1	no	—
1130	C₂²×Q₈	—	13	1	no	—
1131	C₂²×Q₈	—	26	1	no	—
1132	C₂²×Q₈	—	26	1	no	—
1133	C₂²×Q₈	—	26	1	no	—
1134	C₂²×Q₈	—	26	1	no	—
1135	C₂²×Q₈	—	26	1	no	—
1136	C₂²×Q₈	—	26	1	no	—
1137	C₂²×Q₈	—	52	2	no	—
1138	C₂²×Q₈	—	52	2	no	—
1139	C₂²×Q₈	—	52	2	no	—
1140	C₂²×Q₈	—	52	2	no	—
1141	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1142	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1144	C₂²×D₄	—	13	1	no	—
1145	C₂²×D₄	—	13	1	no	—
1146	C₂²×D₄	—	26	1	no	—
1147	C₂³×C₄	—	13	1	no	—
1148	C₂³×C₄	—	13	1	no	—
1149	C₂³×C₄	—	26	1	no	—
1150	C₂³×C₄	—	26	1	no	—
1151	#137	—	4	2	no	—
1152	#137	—	52	2	no	—
1153	#137	—	52	2	no	—
1154	#137	—	52	2	no	—
1155	C₂×Q₁₆	—	4	2	no	—
1156	C₂×Q₁₆	—	13	1	no	—
1157	C₂×Q₁₆	—	13	1	no	—
1158	C₂×Q₁₆	—	13	1	no	—
1159	C₂×Q₁₆	—	13	1	no	—
1160	C₂×Q₁₆	—	13	1	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	—	52	2	no	—
1163	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1168	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	—	13	1	no	—
1171	C₂×SD₁₆	—	13	1	no	—
1172	C₂×SD₁₆	—	13	1	no	—
1173	C₂×SD₁₆	—	13	1	no	—
1174	C₂×SD₁₆	—	13	1	no	—
1175	C₂×SD₁₆	—	13	1	no	—
1176	C₂×SD₁₆	—	13	1	no	—
1177	C₂×SD₁₆	—	13	1	no	—
1178	C₂×SD₁₆	—	52	2	no	—
1179	C₂×SD₁₆	—	52	2	no	—
1180	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1181	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1182	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1183	C₂×M₁₆	—	13	1	no	—
1184	C₂×M₁₆	—	13	1	no	—
1185	C₂×M₁₆	—	13	1	no	—
1186	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1187	C₂²×C₈	—	13	1	no	—
1188	C₂²×C₈	—	13	1	no	—
1189	C₂²×C₈	—	13	1	no	—
1190	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1191	C₄⋊Q₈	—	2	1	no	—
1192	C₄⋊Q₈	—	13	1	no	—
1193	C₄⋊Q₈	—	13	1	no	—
1194	C₄⋊Q₈	—	13	1	no	—
1195	C₄⋊Q₈	—	26	1	no	—
1196	C₄⋊Q₈	—	26	1	no	—
1197	C₄⋊Q₈	—	26	1	no	—
1198	C₄⋊Q₈	—	26	1	no	—
1199	C₄⋊Q₈	—	26	1	no	—
1200	C₄⋊Q₈	—	26	1	no	—
1201	C₄⋊Q₈	—	26	1	no	—
1202	C₄⋊Q₈	—	26	1	no	—
1203	C₄⋊Q₈	—	26	1	no	—
1204	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1205	#126	—	26	1	no	—
1206	#126	—	26	1	no	—
1207	#126	—	26	1	no	—
1208	#126	—	26	1	no	—
1209	#126	—	26	1	no	—
1210	#126	—	26	1	no	—
1211	#125	—	13	1	no	—
1212	#125	—	13	1	no	—
1213	#125	—	26	1	no	—
1214	#125	—	26	1	no	—
1215	#124	—	2	1	no	—
1216	#124	—	13	1	no	—
1217	#124	—	26	1	no	—
1218	#124	C₂²×D₁₃	1	1	yes	characteristic
1219	#123	—	26	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	#123	—	26	1	no	—
1226	#123	—	26	1	no	—
1227	#123	—	26	1	no	—
1228	#123	—	26	1	no	—
1229	C₂²⋊Q₈	—	2	1	no	—
1230	C₂²⋊Q₈	—	2	1	no	—
1231	C₂²⋊Q₈	—	2	1	no	—
1232	C₂²⋊Q₈	—	13	1	no	—
1233	C₂²⋊Q₈	—	13	1	no	—
1234	C₂²⋊Q₈	—	13	1	no	—
1235	C₂²⋊Q₈	—	13	1	no	—
1236	C₂²⋊Q₈	—	13	1	no	—
1237	C₂²⋊Q₈	—	13	1	no	—
1238	C₂²⋊Q₈	—	13	1	no	—
1239	C₂²⋊Q₈	—	13	1	no	—
1240	C₂²⋊Q₈	—	13	1	no	—
1241	C₂²⋊Q₈	—	13	1	no	—
1242	C₂²⋊Q₈	—	13	1	no	—
1243	C₂²⋊Q₈	—	26	1	no	—
1244	C₂²⋊Q₈	—	26	1	no	—
1245	C₂²⋊Q₈	—	26	1	no	—
1246	C₂²⋊Q₈	—	26	1	no	—
1247	C₂²⋊Q₈	—	26	1	no	—
1248	C₂²⋊Q₈	—	26	1	no	—
1249	C₂²⋊Q₈	—	26	1	no	—
1250	C₂²⋊Q₈	—	26	1	no	—
1251	C₂²⋊Q₈	—	26	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1265	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1267	#121	—	2	1	no	—
1268	#121	—	13	1	no	—
1269	#121	—	13	1	no	—
1270	#121	—	13	1	no	—
1271	#121	—	13	1	no	—
1272	#121	—	13	1	no	—
1273	#121	—	26	1	no	—
1274	#121	—	26	1	no	—
1275	#121	—	26	1	no	—
1276	#121	—	26	1	no	—
1277	#121	—	26	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	C₂²×D₁₃	1	1	yes	characteristic
1281	#120	—	26	1	no	—
1282	#120	—	26	1	no	—
1283	#120	—	26	1	no	—
1284	#120	—	26	1	no	—
1285	C₄×Q₈	—	13	1	no	—
1286	C₄×Q₈	—	13	1	no	—
1287	C₄×Q₈	—	13	1	no	—
1288	C₄×Q₈	—	13	1	no	—
1289	C₄×Q₈	—	26	1	no	—
1290	C₄×Q₈	—	26	1	no	—
1291	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1292	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1293	C₄×D₄	—	2	1	no	—
1294	C₄×D₄	—	2	1	no	—
1295	C₄×D₄	—	13	1	no	—
1296	C₄×D₄	—	13	1	no	—
1297	C₄×D₄	—	13	1	no	—
1298	C₄×D₄	—	13	1	no	—
1299	C₄×D₄	—	13	1	no	—
1300	C₄×D₄	—	13	1	no	—
1301	C₄×D₄	—	13	1	no	—
1302	C₄×D₄	—	13	1	no	—
1303	C₄×D₄	—	13	1	no	—
1304	C₄×D₄	—	26	1	no	—
1305	C₄×D₄	—	26	1	no	—
1306	C₄×D₄	—	26	1	no	—
1307	C₄×D₄	—	26	1	no	—
1308	C₄×D₄	—	26	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	—	26	1	no	—
1313	C₄×D₄	—	26	1	no	—
1314	C₄×D₄	—	26	1	no	—
1315	C₄×D₄	—	26	1	no	—
1316	C₄×D₄	—	26	1	no	—
1317	C₄×D₄	—	26	1	no	—
1318	C₄×D₄	—	26	1	no	—
1319	C₄×D₄	—	26	1	no	—
1320	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1321	#117	—	13	1	no	—
1322	#117	—	13	1	no	—
1323	#117	—	26	1	no	—
1324	#117	—	26	1	no	—
1325	#117	—	26	1	no	—
1326	#117	—	26	1	no	—
1327	C₂×C₄⋊C₄	—	13	1	no	—
1328	C₂×C₄⋊C₄	—	13	1	no	—
1329	C₂×C₄⋊C₄	—	13	1	no	—
1330	C₂×C₄⋊C₄	—	13	1	no	—
1331	C₂×C₄⋊C₄	—	26	1	no	—
1332	C₂×C₄⋊C₄	—	26	1	no	—
1333	C₂×C₄⋊C₄	—	26	1	no	—
1334	C₂×C₄⋊C₄	—	26	1	no	—
1335	C₂×C₄⋊C₄	—	26	1	no	—
1336	C₂×C₄⋊C₄	—	26	1	no	—
1337	C₂×C₂²⋊C₄	—	13	1	no	—
1338	C₂×C₂²⋊C₄	—	13	1	no	—
1339	C₂×C₂²⋊C₄	—	26	1	no	—
1340	C₂×C₂²⋊C₄	—	26	1	no	—
1341	C₂×C₂²⋊C₄	—	26	1	no	—
1342	C₂×C₂²⋊C₄	—	26	1	no	—
1343	C₂×C₂²⋊C₄	—	26	1	no	—
1344	C₂×C₂²⋊C₄	—	26	1	no	—
1345	C₂×C₄²	—	13	1	no	—
1346	C₂×C₄²	—	26	1	no	—
1347	#107	—	13	1	no	—
1348	#107	—	13	1	no	—
1349	#107	—	13	1	no	—
1350	#107	—	13	1	no	—
1351	#106	—	13	1	no	—
1352	#106	—	13	1	no	—
1353	#106	—	13	1	no	—
1354	#106	C₂²×D₁₃	1	1	yes	characteristic
1355	C₄⋊C₈	—	13	1	no	—
1356	C₄⋊C₈	—	13	1	no	—
1357	C₄⋊C₈	—	13	1	no	—
1358	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	—	13	1	no	—
1368	#103	—	13	1	no	—
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	C₂²×D₁₃	1	1	yes	characteristic
1383	#103	C₂²×D₁₃	1	1	yes	characteristic
1384	#103	C₂²×D₁₃	1	1	yes	characteristic
1385	#103	C₂²×D₁₃	1	1	yes	characteristic
1386	#103	C₂²×D₁₃	1	1	yes	characteristic
1387	#102	—	13	1	no	—
1388	#102	—	13	1	no	—
1389	#102	—	13	1	no	—
1390	#102	C₂²×D₁₃	1	1	yes	characteristic
1391	C₂²⋊C₈	—	13	1	no	—
1392	C₂²⋊C₈	—	13	1	no	—
1393	C₂²⋊C₈	—	13	1	no	—
1394	C₂²⋊C₈	—	13	1	no	—
1395	C₂²⋊C₈	—	13	1	no	—
1396	C₂²⋊C₈	—	13	1	no	—
1397	C₂²⋊C₈	—	13	1	no	—
1398	C₂²⋊C₈	—	13	1	no	—
1399	C₂²⋊C₈	—	13	1	no	—
1400	C₂²⋊C₈	—	13	1	no	—
1401	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1402	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1403	#97	—	13	1	no	—
1404	#97	—	13	1	no	—
1405	#97	—	13	1	no	—
1406	#97	C₂²×D₁₃	1	1	yes	characteristic
1407	C₂×C₁₃	—	2	2	no	—
1408	C₂×C₁₃	—	4	1	no	—
1409	C₂×C₁₃	—	8	1	no	—
1410	C₂×C₁₃	#3484	1	1	yes	characteristic
1411	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1412	C₂×C₁₃	#3586	1	1	yes	characteristic
1413	D₁₃	—	2	2	no	—
1414	D₁₃	—	2	2	no	—
1415	D₁₃	—	4	1	no	—
1416	D₁₃	—	8	1	no	—
1417	C₂⁴	—	13	1	no	—
1418	C₂⁴	—	13	1	no	—
1419	C₂⁴	—	26	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	52	1	no	—
1423	#41	—	52	1	no	—
1424	C₂×Q₈	—	2	1	no	—
1425	C₂×Q₈	—	2	1	no	—
1426	C₂×Q₈	—	2	1	no	—
1427	C₂×Q₈	—	2	2	no	—
1428	C₂×Q₈	—	2	2	no	—
1429	C₂×Q₈	—	4	1	no	—
1430	C₂×Q₈	—	4	1	no	—
1431	C₂×Q₈	—	4	1	no	—
1432	C₂×Q₈	—	4	1	no	—
1433	C₂×Q₈	—	13	1	no	—
1434	C₂×Q₈	—	13	1	no	—
1435	C₂×Q₈	—	13	1	no	—
1436	C₂×Q₈	—	26	1	no	—
1437	C₂×Q₈	—	26	1	no	—
1438	C₂×Q₈	—	26	1	no	—
1439	C₂×Q₈	—	26	1	no	—
1440	C₂×Q₈	—	26	1	no	—
1441	C₂×Q₈	—	26	1	no	—
1442	C₂×Q₈	—	26	1	no	—
1443	C₂×Q₈	—	26	2	no	—
1444	C₂×Q₈	—	26	2	no	—
1445	C₂×Q₈	—	26	2	no	—
1446	C₂×Q₈	—	26	2	no	—
1447	C₂×Q₈	—	26	1	no	—
1448	C₂×Q₈	—	26	1	no	—
1449	C₂×Q₈	—	26	2	no	—
1450	C₂×Q₈	—	26	2	no	—
1451	C₂×Q₈	—	26	2	no	—
1452	C₂×Q₈	—	26	2	no	—
1453	C₂×Q₈	—	52	1	no	—
1454	C₂×Q₈	—	52	1	no	—
1455	C₂×Q₈	—	52	4	no	—
1456	C₂×Q₈	—	52	4	no	—
1457	C₂×Q₈	—	52	1	no	—
1458	C₂×Q₈	—	52	1	no	—
1459	C₂×Q₈	—	52	1	no	—
1460	C₂×Q₈	—	52	1	no	—
1461	C₂×Q₈	—	52	1	no	—
1462	C₂×Q₈	—	52	1	no	—
1463	C₂×Q₈	—	52	1	no	—
1464	C₂×Q₈	—	52	1	no	—
1465	C₂×Q₈	—	52	4	no	—
1466	C₂×Q₈	—	52	4	no	—
1467	C₂×Q₈	—	52	4	no	—
1468	C₂×Q₈	—	52	4	no	—
1469	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1470	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1471	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1472	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1473	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	13	1	no	—
1477	C₂×D₄	—	13	1	no	—
1478	C₂×D₄	—	13	1	no	—
1479	C₂×D₄	—	13	1	no	—
1480	C₂×D₄	—	26	1	no	—
1481	C₂×D₄	—	26	1	no	—
1482	C₂×D₄	—	26	1	no	—
1483	C₂×D₄	—	26	4	no	—
1484	C₂×D₄	—	26	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	52	1	no	—
1489	C₂×D₄	—	52	1	no	—
1490	C₂×D₄	—	52	4	no	—
1491	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1492	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	13	1	no	—
1498	C₂²×C₄	—	13	1	no	—
1499	C₂²×C₄	—	13	1	no	—
1500	C₂²×C₄	—	13	1	no	—
1501	C₂²×C₄	—	13	1	no	—
1502	C₂²×C₄	—	13	1	no	—
1503	C₂²×C₄	—	13	1	no	—
1504	C₂²×C₄	—	13	1	no	—
1505	C₂²×C₄	—	13	1	no	—
1506	C₂²×C₄	—	13	1	no	—
1507	C₂²×C₄	—	13	1	no	—
1508	C₂²×C₄	—	26	1	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	26	1	no	—
1512	C₂²×C₄	—	26	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	26	1	no	—
1515	C₂²×C₄	—	26	1	no	—
1516	C₂²×C₄	—	26	1	no	—
1517	C₂²×C₄	—	26	1	no	—
1518	C₂²×C₄	—	26	1	no	—
1519	C₂²×C₄	—	26	1	no	—
1520	C₂²×C₄	—	26	1	no	—
1521	C₂²×C₄	—	26	1	no	—
1522	C₂²×C₄	—	26	1	no	—
1523	C₂²×C₄	—	52	1	no	—
1524	C₂²×C₄	—	52	1	no	—
1525	C₂²×C₄	—	52	1	no	—
1526	C₂²×C₄	—	52	1	no	—
1527	C₂²×C₄	—	52	4	no	—
1528	C₂²×C₄	—	52	4	no	—
1529	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1531	Q₁₆	—	2	2	no	—
1532	Q₁₆	—	2	2	no	—
1533	Q₁₆	—	4	1	no	—
1534	Q₁₆	—	4	1	no	—
1535	Q₁₆	—	4	1	no	—
1536	Q₁₆	—	4	1	no	—
1537	Q₁₆	—	26	2	no	—
1538	Q₁₆	—	26	2	no	—
1539	Q₁₆	—	52	1	no	—
1540	Q₁₆	—	52	1	no	—
1541	Q₁₆	—	52	1	no	—
1542	Q₁₆	—	52	1	no	—
1543	SD₁₆	—	2	2	no	—
1544	SD₁₆	—	4	1	no	—
1545	SD₁₆	—	4	1	no	—
1546	SD₁₆	—	26	2	no	—
1547	SD₁₆	—	26	2	no	—
1548	SD₁₆	—	26	2	no	—
1549	SD₁₆	—	52	1	no	—
1550	SD₁₆	—	52	1	no	—
1551	SD₁₆	—	52	1	no	—
1552	SD₁₆	—	52	1	no	—
1553	SD₁₆	—	52	1	no	—
1554	SD₁₆	—	52	1	no	—
1555	M₁₆	—	4	1	no	—
1556	M₁₆	—	52	1	no	—
1557	M₁₆	—	52	1	no	—
1558	M₁₆	—	52	1	no	—
1559	C₂×C₈	—	4	1	no	—
1560	C₂×C₈	—	13	1	no	—
1561	C₂×C₈	—	13	1	no	—
1562	C₂×C₈	—	13	1	no	—
1563	C₂×C₈	—	13	1	no	—
1564	C₂×C₈	—	52	1	no	—
1565	C₂×C₈	—	52	1	no	—
1566	C₂×C₈	—	52	1	no	—
1567	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1568	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1569	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1570	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	13	1	no	—
1579	C₄⋊C₄	—	13	1	no	—
1580	C₄⋊C₄	—	13	1	no	—
1581	C₄⋊C₄	—	13	1	no	—
1582	C₄⋊C₄	—	13	1	no	—
1583	C₄⋊C₄	—	13	1	no	—
1584	C₄⋊C₄	—	13	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	—	26	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	—	26	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	—	26	1	no	—
1599	C₄⋊C₄	—	26	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	—	26	1	no	—
1602	C₄⋊C₄	—	26	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	—	26	1	no	—
1605	C₄⋊C₄	—	26	1	no	—
1606	C₄⋊C₄	—	26	1	no	—
1607	C₄⋊C₄	—	26	1	no	—
1608	C₄⋊C₄	—	26	1	no	—
1609	C₄⋊C₄	—	26	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1614	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1615	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	13	1	no	—
1623	C₂²⋊C₄	—	13	1	no	—
1624	C₂²⋊C₄	—	13	1	no	—
1625	C₂²⋊C₄	—	13	1	no	—
1626	C₂²⋊C₄	—	13	1	no	—
1627	C₂²⋊C₄	—	13	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₂²⋊C₄	—	26	1	no	—
1643	C₂²⋊C₄	—	26	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1651	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1652	C₄²	—	2	1	no	—
1653	C₄²	—	2	1	no	—
1654	C₄²	—	13	1	no	—
1655	C₄²	—	13	1	no	—
1656	C₄²	—	13	1	no	—
1657	C₄²	—	26	1	no	—
1658	C₄²	—	26	1	no	—
1659	C₄²	—	26	1	no	—
1660	C₄²	—	26	1	no	—
1661	C₄²	—	26	1	no	—
1662	C₄²	—	26	1	no	—
1663	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1664	C₁₃	#61574	1	1	yes	characteristic, complemented, Sylow
1665	C₂³	—	2	1	no	—
1666	C₂³	—	13	1	no	—
1667	C₂³	—	13	1	no	—
1668	C₂³	—	13	4	no	—
1669	C₂³	—	13	1	no	—
1670	C₂³	—	26	2	no	—
1671	C₂³	—	26	1	no	—
1672	C₂³	—	52	1	no	—
1673	C₂³	—	52	1	no	—
1674	C₂³	—	52	1	no	—
1675	C₂³	—	52	1	no	—
1676	C₂³	—	52	2	no	—
1677	C₂³	—	104	1	no	—
1678	C₂³	—	104	1	no	—
1679	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1680	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1681	Q₈	—	2	1	no	—
1682	Q₈	—	2	1	no	—
1683	Q₈	—	2	1	no	—
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	4	2	no	—
1691	Q₈	—	4	2	no	—
1692	Q₈	—	8	1	no	—
1693	Q₈	—	13	2	no	—
1694	Q₈	—	26	4	no	—
1695	Q₈	—	26	1	no	—
1696	Q₈	—	26	1	no	—
1697	Q₈	—	26	1	no	—
1698	Q₈	—	26	1	no	—
1699	Q₈	—	26	1	no	—
1700	Q₈	—	52	2	no	—
1701	Q₈	—	52	2	no	—
1702	Q₈	—	52	2	no	—
1703	Q₈	—	52	2	no	—
1704	Q₈	—	52	2	no	—
1705	Q₈	—	52	2	no	—
1706	Q₈	—	52	2	no	—
1707	Q₈	—	52	2	no	—
1708	Q₈	#88251	1	2	yes	—
1709	D₄	—	2	2	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	2	1	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	8	1	no	—
1714	D₄	—	26	2	no	—
1715	D₄	—	26	2	no	—
1716	D₄	—	26	2	no	—
1717	D₄	—	26	1	no	—
1718	D₄	—	26	1	no	—
1719	D₄	—	52	2	no	—
1720	D₄	—	52	2	no	—
1721	D₄	—	52	2	no	—
1722	D₄	—	104	1	no	—
1723	D₄	—	104	1	no	—
1724	D₄	—	104	1	no	—
1725	D₄	—	104	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	4	2	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	8	1	no	—
1740	C₂×C₄	—	8	1	no	—
1741	C₂×C₄	—	13	1	no	—
1742	C₂×C₄	—	13	1	no	—
1743	C₂×C₄	—	13	1	no	—
1744	C₂×C₄	—	13	1	no	—
1745	C₂×C₄	—	13	1	no	—
1746	C₂×C₄	—	26	2	no	—
1747	C₂×C₄	—	26	4	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	26	1	no	—
1753	C₂×C₄	—	26	1	no	—
1754	C₂×C₄	—	26	1	no	—
1755	C₂×C₄	—	26	1	no	—
1756	C₂×C₄	—	26	1	no	—
1757	C₂×C₄	—	26	1	no	—
1758	C₂×C₄	—	26	1	no	—
1759	C₂×C₄	—	26	1	no	—
1760	C₂×C₄	—	26	1	no	—
1761	C₂×C₄	—	52	1	no	—
1762	C₂×C₄	—	52	1	no	—
1763	C₂×C₄	—	52	1	no	—
1764	C₂×C₄	—	52	1	no	—
1765	C₂×C₄	—	52	1	no	—
1766	C₂×C₄	—	52	2	no	—
1767	C₂×C₄	—	52	2	no	—
1768	C₂×C₄	—	52	2	no	—
1769	C₂×C₄	—	52	2	no	—
1770	C₂×C₄	—	52	2	no	—
1771	C₂×C₄	—	52	2	no	—
1772	C₂×C₄	—	52	2	no	—
1773	C₂×C₄	—	52	2	no	—
1774	C₂×C₄	—	52	1	no	—
1775	C₂×C₄	—	52	1	no	—
1776	C₂×C₄	—	52	2	no	—
1777	C₂×C₄	—	52	2	no	—
1778	C₂×C₄	—	104	1	no	—
1779	C₂×C₄	—	104	1	no	—
1780	C₂×C₄	—	104	1	no	—
1781	C₂×C₄	—	104	1	no	—
1782	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1783	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1784	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1785	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1786	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1787	C₈	—	2	1	no	—
1788	C₈	—	2	1	no	—
1789	C₈	—	2	1	no	—
1790	C₈	—	2	1	no	—
1791	C₈	—	26	1	no	—
1792	C₈	—	26	1	no	—
1793	C₈	—	26	1	no	—
1794	C₈	—	26	1	no	—
1795	C₂²	—	2	1	no	—
1796	C₂²	—	2	1	no	—
1797	C₂²	—	2	1	no	—
1798	C₂²	—	2	1	no	—
1799	C₂²	—	2	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	13	2	no	—
1804	C₂²	—	13	2	no	—
1805	C₂²	—	26	1	no	—
1806	C₂²	—	26	1	no	—
1807	C₂²	—	26	1	no	—
1808	C₂²	—	26	1	no	—
1809	C₂²	—	26	1	no	—
1810	C₂²	—	26	1	no	—
1811	C₂²	—	26	1	no	—
1812	C₂²	—	52	4	no	—
1813	C₂²	—	52	4	no	—
1814	C₂²	—	52	1	no	—
1815	C₂²	—	52	1	no	—
1816	C₂²	—	52	1	no	—
1817	C₂²	—	208	2	no	—
1818	C₂²	D₁₃×#137	1	2	yes	—
1819	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	2	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	4	1	no	—
1831	C₄	—	26	1	no	—
1832	C₄	—	26	1	no	—
1833	C₄	—	26	1	no	—
1834	C₄	—	26	2	no	—
1835	C₄	—	26	1	no	—
1836	C₄	—	26	1	no	—
1837	C₄	—	52	1	no	—
1838	C₄	—	52	1	no	—
1839	C₄	—	52	1	no	—
1840	C₄	—	52	1	no	—
1841	C₄	—	52	1	no	—
1842	C₄	—	52	1	no	—
1843	C₄	C₂×#88251	1	1	yes	characteristic
1844	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1845	C₂	—	2	2	no	—
1846	C₂	—	4	1	no	—
1847	C₂	—	8	1	no	—
1848	C₂	—	26	2	no	—
1849	C₂	—	26	2	no	—
1850	C₂	—	52	1	no	—
1851	C₂	—	104	1	no	—
1852	C₂	#13128464	1	1	yes	characteristic
1853	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1854	C₂	#13129621	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×#3270	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128672	C₂
hypercenter	#3270	D₁₃
hypocenter	C₁₃	#61574
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3270

Complements

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

N	H ≅ G/N	type
2. D₄×Q₈×D₁₃	C₂	semidirect
3. #13127013	C₂	semidirect
4. #13127011	C₂	semidirect
5. #13127009	C₂	semidirect
6. #13127007	C₂	semidirect
7. #13126894	C₂	semidirect
8. #13126892	C₂	semidirect
9. #13126882	C₂	semidirect
10. #13126880	C₂	semidirect
11. #13126410	C₂	semidirect
12. #13126406	C₂	semidirect
13. #13126402	C₂	semidirect
14. #13126345	C₂	semidirect
15. #13126344	C₂	semidirect
16. #13126341	C₂	semidirect
17. #13126340	C₂	semidirect
18. #13125867	C₂	semidirect
19. #13125859	C₂	semidirect
20. #13125667	C₂	semidirect
21. #13125664	C₂	semidirect
22. #13125609	C₂	semidirect
23. #13125588	C₂	semidirect
24. #13125011	C₂	semidirect
25. #13125006	C₂	semidirect
26. #13124071	C₂	semidirect
27. #13124068	C₂	semidirect
28. C₂×#11718847	C₂	semidirect
29. D₁₃×#448	C₂	semidirect
30. #13123861	C₂	semidirect
31. C₁₃×#3270	C₂	semidirect
33. C₂²×Q₈×D₁₃	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂²×C₁₃×Q₁₆	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
40. C₂×#88205	C₂²	semidirect
43. Q₈×C₂²⋊D₁₃	C₂²	semidirect
45. C₂²×#6107	C₂²	semidirect
46. C₂×#88172	C₂²	semidirect
47. C₂×#88172	C₂²	semidirect
48. C₂×SD₁₆×D₁₃	C₂²	semidirect
49. C₂×SD₁₆×D₁₃	C₂²	semidirect
53. D₁₃×C₄⋊Q₈	C₂²	semidirect
64. #11719337	C₂²	semidirect
69. D₁₃×C₂²⋊Q₈	C₂²	semidirect
77. C₄×Q₈×D₁₃	C₂²	semidirect
84. D₄×Dic₂₆	C₂²	semidirect
85. C₁₃×#497	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#462	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
92. C₁₃×#451	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₁₃×#441	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
96. #11718900	C₂²	semidirect
97. #11718889	C₂²	semidirect
98. #11718888	C₂²	semidirect
99. #11718888	C₂²	semidirect
100. #11718886	C₂²	semidirect
101. C₂×#88075	C₂²	semidirect
102. #11718851	C₂²	semidirect
103. #11718851	C₂²	semidirect
104. #11718850	C₂²	semidirect
105. #11718849	C₂²	semidirect
106. #11718849	C₂²	semidirect
107. #11718848	C₂²	semidirect
108. #11718847	C₂²	semidirect
109. #11718847	C₂²	semidirect
110. #11718847	C₂²	semidirect
111. #11718847	C₂²	semidirect
112. #11718847	C₂²	semidirect
113. #11718847	C₂²	semidirect
114. #11718847	C₂²	semidirect
115. #11718847	C₂²	semidirect
116. #11718847	C₂²	semidirect
117. #11718847	C₂²	semidirect
118. #11718847	C₂²	semidirect
119. #11718847	C₂²	semidirect
120. #11718846	C₂²	semidirect
121. #11718845	C₂²	semidirect
122. #11718843	C₂²	semidirect
123. #11718843	C₂²	semidirect
124. #11718835	C₂²	semidirect
128. #11718831	C₂²	semidirect
129. #11718831	C₂²	semidirect
130. #11718830	C₂²	semidirect
131. #11718825	C₂²	semidirect
132. #11718823	C₂²	semidirect
133. #11718823	C₂²	semidirect
134. #11718795	C₂²	semidirect
136. #11718787	C₂²	semidirect
137. #11718781	C₂²	semidirect
138. #11718775	C₂²	semidirect
139. #11718772	C₂²	semidirect
141. C₂×#88056	C₂²	semidirect
142. #11718744	C₂²	semidirect
143. #11718743	C₂²	semidirect
144. #11718721	C₂²	semidirect
145. #11718715	C₂²	semidirect
146. #11718713	C₂²	semidirect
147. #11718711	C₂²	semidirect
148. #11718710	C₂²	semidirect
149. #11718709	C₂²	semidirect
150. #11718706	C₂²	semidirect
151. #11718705	C₂²	semidirect
152. #11718702	C₂²	semidirect
153. #11718701	C₂²	semidirect
154. #11718692	C₂²	semidirect
155. #11718691	C₂²	semidirect
156. #11718687	C₂²	semidirect
157. #11718683	C₂²	semidirect
158. #11718672	C₂²	semidirect
159. #11718528	C₂²	semidirect
161. #11718523	C₂²	semidirect
162. #11718518	C₂²	semidirect
163. #11718502	C₂²	semidirect
165. #11718496	C₂²	semidirect
166. #11718490	C₂²	semidirect
167. #11718477	C₂²	semidirect
168. #11718475	C₂²	semidirect
169. #11718474	C₂²	semidirect
170. #11718474	C₂²	semidirect
171. #11718471	C₂²	semidirect
172. #11718470	C₂²	semidirect
173. #11718470	C₂²	semidirect
177. #11718466	C₂²	semidirect
178. #11718463	C₂²	semidirect
179. #11718463	C₂²	semidirect
180. D₁₃×#103	C₂²	semidirect
181. D₁₃×#103	C₂²	semidirect
182. #11718459	C₂²	semidirect
183. #11718458	C₂²	semidirect
184. #11718458	C₂²	semidirect
185. #11718457	C₂²	semidirect
186. #11718450	C₂²	semidirect
187. #11718441	C₂²	semidirect
189. #11718437	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718399	C₂²	semidirect
193. #11718391	C₂²	semidirect
195. #11718387	C₂²	semidirect
197. #11718384	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. #11718371	C₂²	semidirect
201. #11718366	C₂²	semidirect
202. #11718364	C₂²	semidirect
751. #3270	D₁₃	semidirect
781. C₂²×D₁₃	#137	semidirect
904. C₂×#137	C₂×D₁₃	semidirect
906. C₂²×Q₁₆	C₂×D₁₃	semidirect
928. D₄×Q₈	C₂×D₁₃	semidirect
955. #497	C₂×D₁₃	semidirect
979. #470	C₂×D₁₃	semidirect
991. #465	C₂×D₁₃	semidirect
995. #464	C₂×D₁₃	semidirect
999. #462	C₂×D₁₃	semidirect
1007. #452	C₂×D₁₃	semidirect
1022. #451	C₂×D₁₃	semidirect
1023. #451	C₂×D₁₃	semidirect
1039. #448	C₂×D₁₃	semidirect
1043. #441	C₂×D₁₃	semidirect
1055. #435	C₂×D₁₃	semidirect
1664. C₁₃	#61574	semidirect

Maximal subgroups

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

subgroup	index
#13128672	2
D₄×Q₈×D₁₃	2
#13127013	2
#13127011	2
#13127009	2
#13127007	2
#13126894	2
#13126892	2
#13126882	2
#13126880	2
#13126410	2
#13126406	2
#13126402	2
#13126345	2
#13126344	2
#13126341	2
#13126340	2
#13125867	2
#13125859	2
#13125667	2
#13125664	2
#13125609	2
#13125588	2
#13125011	2
#13125006	2
#13124071	2
#13124068	2
C₂×#11718847	2
D₁₃×#448	2
#13123861	2
C₁₃×#3270	2
#61574	13