Subgroups — #16744700

Order 3328.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128451	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127896	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127781	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127663	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127598	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127390	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127300	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127285	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127083	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127052	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127001	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126941	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126857	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126797	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126463	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126342	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126327	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125443	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125425	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125400	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124912	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124883	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124863	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124854	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124848	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124844	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123803	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88205	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88186	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#6105	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3481	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#559	C₂²	1	1	yes	characteristic
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#553	C₂²	1	1	yes	characteristic
37	C₁₃×#553	C₂²	1	1	yes	characteristic
38	C₁₃×#551	—	2	1	no	—
39	C₁₃×#551	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#532	C₂²	1	1	yes	characteristic
45	C₁₃×#529	—	2	1	no	—
46	C₁₃×#529	C₂²	1	1	yes	characteristic
47	C₁₃×#529	C₂²	1	1	yes	characteristic
48	C₁₃×#525	—	2	1	no	—
49	C₁₃×#525	—	2	1	no	—
50	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
51	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₁₃	—	2	1	no	—
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
55	#11719529	—	2	1	no	—
56	C₂×#88205	C₂²	1	1	yes	characteristic
57	C₂²×#6105	C₂²	1	1	yes	characteristic
58	C₂×#88186	C₂²	1	1	yes	characteristic
59	#11719289	C₂²	1	1	yes	characteristic, complemented
60	#11719283	—	2	1	no	—
61	#11719272	C₂²	1	1	yes	characteristic, complemented
62	#11719260	C₂²	1	1	yes	characteristic, complemented
63	#11719257	C₂²	1	1	yes	characteristic
64	#11719257	C₂²	1	1	yes	characteristic, complemented
65	#11719246	C₂²	1	1	yes	characteristic
66	#11719246	C₂²	1	1	yes	characteristic, complemented
67	#11719243	—	2	1	no	—
68	#11719243	—	2	1	no	—
69	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
70	C₄×#6129	—	2	1	no	—
71	#11719238	—	2	1	no	—
72	#11719236	—	2	1	no	—
73	#11719236	—	2	1	no	—
74	#11719184	C₂²	1	1	yes	characteristic, complemented
75	#11719184	C₂²	1	1	yes	characteristic, complemented
76	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
77	#11719175	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
80	#11718900	C₂²	1	1	yes	characteristic
81	#11718899	C₂²	1	1	yes	characteristic
82	#11718893	C₂²	1	1	yes	characteristic
83	#11718879	C₂²	1	1	yes	characteristic
84	#11718879	C₂²	1	1	yes	characteristic
85	#11718879	C₂²	1	1	yes	characteristic
86	#11718878	C₂²	1	1	yes	characteristic
87	#11718876	C₂²	1	1	yes	characteristic
88	C₂×#88072	C₂²	1	1	yes	characteristic
89	#11718755	C₂²	1	1	yes	characteristic, complemented
90	#11718755	C₂²	1	1	yes	characteristic, complemented
91	#11718750	C₂²	1	1	yes	characteristic, complemented
92	#11718741	C₂²	1	1	yes	characteristic, complemented
93	#11718736	C₂²	1	1	yes	characteristic
94	#11718736	C₂²	1	1	yes	characteristic
95	#11718735	C₂²	1	1	yes	characteristic
96	#11718732	C₂²	1	1	yes	characteristic
97	#11718730	C₂²	1	1	yes	characteristic, complemented
98	#11718729	C₂²	1	1	yes	characteristic, complemented
99	#11718727	C₂²	1	1	yes	characteristic, complemented
100	#11718726	C₂²	1	1	yes	characteristic, complemented
101	#11718725	C₂²	1	1	yes	characteristic, complemented
102	#11718724	C₂²	1	1	yes	characteristic, complemented
103	#11718724	C₂²	1	1	yes	characteristic, complemented
104	#11718724	C₂²	1	1	yes	characteristic, complemented
105	#11718721	C₂²	1	1	yes	characteristic, complemented
106	#11718720	C₂²	1	1	yes	characteristic, complemented
107	#11718718	C₂²	1	1	yes	characteristic, complemented
108	#11718717	C₂²	1	1	yes	characteristic, complemented
109	#11718716	C₂²	1	1	yes	characteristic, complemented
110	#11718715	C₂²	1	1	yes	characteristic, complemented
111	#11718715	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718713	C₂²	1	1	yes	characteristic, complemented
114	#11718713	C₂²	1	1	yes	characteristic, complemented
115	#11718712	C₂²	1	1	yes	characteristic, complemented
116	#11718711	C₂²	1	1	yes	characteristic, complemented
117	#11718709	C₂²	1	1	yes	characteristic, complemented
118	#11718708	C₂²	1	1	yes	characteristic, complemented
119	#11718706	C₂²	1	1	yes	characteristic, complemented
120	#11718704	C₂²	1	1	yes	characteristic, complemented
121	#11718703	C₂²	1	1	yes	characteristic
122	#11718703	C₂²	1	1	yes	characteristic
123	#11718703	C₂²	1	1	yes	characteristic, complemented
124	#11718703	C₂²	1	1	yes	characteristic, complemented
125	#11718702	C₂²	1	1	yes	characteristic
126	#11718701	C₂²	1	1	yes	characteristic
127	#11718701	C₂²	1	1	yes	characteristic, complemented
128	#11718701	C₂²	1	1	yes	characteristic, complemented
129	#11718700	C₂²	1	1	yes	characteristic, complemented
130	#11718700	C₂²	1	1	yes	characteristic, complemented
131	#11718699	C₂²	1	1	yes	characteristic
132	#11718698	C₂²	1	1	yes	characteristic
133	#11718696	C₂²	1	1	yes	characteristic
134	#11718695	C₂²	1	1	yes	characteristic, complemented
135	#11718695	C₂²	1	1	yes	characteristic, complemented
136	#11718694	C₂²	1	1	yes	characteristic
137	#11718691	C₂²	1	1	yes	characteristic, complemented
138	#11718691	C₂²	1	1	yes	characteristic, complemented
139	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
140	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
141	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
142	#11718689	C₂²	1	1	yes	characteristic, complemented
143	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
144	#11718685	C₂²	1	1	yes	characteristic, complemented
145	#11718685	C₂²	1	1	yes	characteristic, complemented
146	#11718683	C₂²	1	1	yes	characteristic, complemented
147	#11718680	C₂²	1	1	yes	characteristic
148	#11718680	C₂²	1	1	yes	characteristic, complemented
149	#11718679	C₂²	1	1	yes	characteristic
150	#11718679	C₂²	1	1	yes	characteristic
151	#11718679	C₂²	1	1	yes	characteristic
152	#11718679	C₂²	1	1	yes	characteristic, complemented
153	C₄×#6105	C₂²	1	1	yes	characteristic
154	C₄×#6105	C₂²	1	1	yes	characteristic
155	C₄×#6105	C₂²	1	1	yes	characteristic
156	C₄×#6105	C₂²	1	1	yes	characteristic
157	C₄×#6105	C₂²	1	1	yes	characteristic
158	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
159	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
160	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
161	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
162	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
163	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
164	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
165	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
166	#11718677	C₂²	1	1	yes	characteristic
167	#11718677	C₂²	1	1	yes	characteristic
168	#11718677	C₂²	1	1	yes	characteristic, complemented
169	#11718675	C₂²	1	1	yes	characteristic
170	#11718675	C₂²	1	1	yes	characteristic, complemented
171	C₄×#6104	C₂²	1	1	yes	characteristic
172	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
173	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
174	#11718673	C₂²	1	1	yes	characteristic, complemented
175	#11718673	C₂²	1	1	yes	characteristic, complemented
176	#11718672	C₂²	1	1	yes	characteristic
177	#11718672	C₂²	1	1	yes	characteristic
178	#11718672	C₂²	1	1	yes	characteristic, complemented
179	#11718672	C₂²	1	1	yes	characteristic, complemented
180	#11718670	C₂²	1	1	yes	characteristic
181	#11718670	C₂²	1	1	yes	characteristic
182	#11718670	C₂²	1	1	yes	characteristic, complemented
183	#11718669	C₂²	1	1	yes	characteristic
184	#11718669	C₂²	1	1	yes	characteristic, complemented
185	#11718665	C₂²	1	1	yes	characteristic, complemented
186	#11718664	C₂²	1	1	yes	characteristic, complemented
187	#11718657	C₂²	1	1	yes	characteristic, complemented
188	#11718656	C₂²	1	1	yes	characteristic, complemented
189	#11718632	C₂²	1	1	yes	characteristic, complemented
190	#11718632	C₂²	1	1	yes	characteristic, complemented
191	#11718631	C₂²	1	1	yes	characteristic, complemented
192	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
193	#11718629	C₂²	1	1	yes	characteristic, complemented
194	#11718627	C₂²	1	1	yes	characteristic, complemented
195	#11718625	C₂²	1	1	yes	characteristic, complemented
196	C₂×#88048	C₂²	1	1	yes	characteristic, complemented
197	#11718586	C₂²	1	1	yes	characteristic, complemented
198	#11718586	C₂²	1	1	yes	characteristic, complemented
199	#11718586	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
201	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×#1055	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	—	2	1	no	—
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₁₃	—	2	1	no	—
210	C₂³×C₄×C₁₃	—	2	1	no	—
211	C₂×#6129	—	2	1	no	—
212	C₂×#6127	C₂³	1	1	yes	characteristic
213	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
214	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
215	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×#127	C₂³	1	1	yes	characteristic
217	C₁₃×#126	—	2	1	no	—
218	C₁₃×#126	—	2	1	no	—
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#126	—	2	1	no	—
221	C₁₃×#125	—	2	1	no	—
222	C₁₃×#125	C₂³	1	1	yes	characteristic
223	C₁₃×#125	C₂³	1	1	yes	characteristic
224	C₁₃×#124	—	2	1	no	—
225	C₁₃×#124	—	2	1	no	—
226	C₁₃×#124	C₂³	1	1	yes	characteristic
227	C₁₃×#124	C₂³	1	1	yes	characteristic
228	C₁₃×#123	—	2	1	no	—
229	C₁₃×#123	—	2	1	no	—
230	C₁₃×#123	—	2	1	no	—
231	C₁₃×#123	—	2	1	no	—
232	C₁₃×#123	—	2	1	no	—
233	C₁₃×#123	—	2	1	no	—
234	C₁₃×#123	—	2	1	no	—
235	C₁₃×#123	—	2	1	no	—
236	C₁₃×C₂²⋊Q₈	—	2	1	no	—
237	C₁₃×C₂²⋊Q₈	—	2	1	no	—
238	C₁₃×C₂²⋊Q₈	—	2	1	no	—
239	C₁₃×C₂²⋊Q₈	—	2	1	no	—
240	C₁₃×C₂²⋊Q₈	—	2	1	no	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
242	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×#121	—	2	1	no	—
244	C₁₃×#121	—	2	1	no	—
245	C₁₃×#121	—	2	1	no	—
246	C₁₃×#121	—	2	1	no	—
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#120	—	2	1	no	—
254	C₁₃×#120	—	2	1	no	—
255	C₁₃×#120	—	2	1	no	—
256	C₁₃×#120	—	2	1	no	—
257	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
258	C₄×Q₈×C₁₃	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	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
275	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
276	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
283	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	D₄	1	1	yes	characteristic
292	C₁₃×#117	D₄	1	1	yes	characteristic
293	C₁₃×#117	D₄	1	1	yes	characteristic
294	C₁₃×#117	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
301	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
302	C₂×C₄²×C₁₃	—	2	1	no	—
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
306	#88205	—	2	4	no	—
307	#88200	—	2	1	no	—
308	#88198	—	2	1	no	—
309	C₂×#6107	C₂³	1	1	yes	characteristic
310	C₂×#6107	C₂³	1	1	yes	characteristic
311	C₂×#6107	C₂³	1	1	yes	characteristic
312	C₂×#6106	C₂³	1	1	yes	characteristic
313	#88193	—	2	1	no	—
314	#88193	—	2	1	no	—
315	#88189	—	2	1	no	—
316	#88189	—	2	1	no	—
317	D₄×Dic₁₃	—	2	1	no	—
318	C₂×#6105	—	2	4	no	—
319	C₂×#6105	C₂³	1	1	yes	characteristic
320	C₂×#6105	C₂³	1	1	yes	characteristic
321	C₂×#6105	C₂³	1	1	yes	characteristic
322	C₂×#6105	C₂³	1	1	yes	characteristic
323	C₂×#6105	C₂³	1	1	yes	characteristic
324	C₂×#6105	C₂³	1	1	yes	characteristic
325	C₂×#6105	C₂³	1	1	yes	characteristic
326	C₂×#6105	C₂³	1	1	yes	characteristic
327	C₂×#6105	C₂³	1	1	yes	characteristic
328	#88186	—	2	4	no	—
329	C₂×#6104	C₂³	1	1	yes	characteristic
330	C₂×#6104	C₂³	1	1	yes	characteristic
331	C₂×#6104	C₂³	1	1	yes	characteristic
332	#88184	C₂³	1	1	yes	characteristic
333	#88184	C₂³	1	1	yes	characteristic
334	#88183	—	2	1	no	—
335	#88183	—	2	1	no	—
336	C₄×C₂²⋊D₁₃	—	2	1	no	—
337	C₄×C₂²⋊D₁₃	—	2	1	no	—
338	C₄×C₂²⋊D₁₃	—	2	1	no	—
339	C₄×C₂²⋊D₁₃	—	2	1	no	—
340	#88180	—	2	1	no	—
341	#88180	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
344	#88178	—	2	1	no	—
345	#88178	C₂³	1	1	yes	characteristic
346	#88178	C₂³	1	1	yes	characteristic
347	#88178	C₂³	1	1	yes	characteristic
348	#88178	C₂³	1	1	yes	characteristic
349	C₂×#6101	—	2	1	no	—
350	C₂×#6101	—	2	1	no	—
351	C₂×C₄×Dic₁₃	—	2	1	no	—
352	C₂×C₄×Dic₁₃	—	2	1	no	—
353	C₂×#6099	C₂³	1	1	yes	characteristic
354	C₂×#6099	C₂³	1	1	yes	characteristic
355	C₂×#6099	C₂³	1	1	yes	characteristic
356	C₂×#6099	C₂³	1	1	yes	characteristic
357	C₂²×#1055	C₂³	1	1	yes	characteristic
358	C₂²×#1055	C₂³	1	1	yes	characteristic
359	#88152	—	2	1	no	—
360	#88152	—	2	1	no	—
361	#88151	—	2	1	no	—
362	#88150	—	2	1	no	—
363	#88150	—	2	1	no	—
364	#88146	—	2	1	no	—
365	#88143	—	2	1	no	—
366	#88143	—	2	1	no	—
367	#88143	—	2	1	no	—
368	#88143	—	2	1	no	—
369	#88142	—	2	1	no	—
370	#88141	—	2	1	no	—
371	#88140	—	2	1	no	—
372	#88140	—	2	1	no	—
373	#88139	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88135	—	2	1	no	—
376	#88135	—	2	1	no	—
377	#88133	—	2	1	no	—
378	#88133	—	2	1	no	—
379	#88132	—	2	1	no	—
380	#88132	—	2	1	no	—
381	#88131	—	2	1	no	—
382	#88131	—	2	1	no	—
383	#88130	—	2	1	no	—
384	#88130	—	2	1	no	—
385	#88129	C₂³	1	1	yes	characteristic
386	#88129	C₂³	1	1	yes	characteristic
387	C₄×D₅₂	C₂³	1	1	yes	characteristic
388	C₄×D₅₂	C₂³	1	1	yes	characteristic
389	#88126	—	2	1	no	—
390	#88126	—	2	1	no	—
391	#88126	—	2	1	no	—
392	C₄²×D₁₃	—	2	1	no	—
393	#88124	—	2	1	no	—
394	#88124	C₂³	1	1	yes	characteristic
395	#88124	C₂³	1	1	yes	characteristic
396	#88123	C₂³	1	1	yes	characteristic
397	#88123	C₂³	1	1	yes	characteristic
398	C₄×Dic₂₆	—	2	1	no	—
399	C₄×Dic₂₆	—	2	1	no	—
400	C₄×Dic₂₆	—	2	1	no	—
401	C₄×Dic₂₆	—	2	1	no	—
402	C₄×Dic₂₆	—	2	1	no	—
403	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
404	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
405	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
406	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
407	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
408	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	#88075	C₂³	1	1	yes	characteristic
412	#88075	C₂³	1	1	yes	characteristic
413	#88075	C₂³	1	1	yes	characteristic
414	#88075	C₂³	1	1	yes	characteristic
415	#88072	C₂³	1	1	yes	characteristic
416	#88072	C₂³	1	1	yes	characteristic
417	#88072	C₂³	1	1	yes	characteristic
418	#88072	C₂³	1	1	yes	characteristic
419	#88072	C₂³	1	1	yes	characteristic
420	#88072	C₂³	1	1	yes	characteristic
421	#88072	C₂³	1	1	yes	characteristic
422	#88072	C₂³	1	1	yes	characteristic
423	#88072	C₂³	1	1	yes	characteristic
424	#88072	C₂³	1	1	yes	characteristic
425	#88072	C₂³	1	1	yes	characteristic
426	#88072	C₂³	1	1	yes	characteristic
427	C₂²⋊#1055	C₂³	1	1	yes	characteristic
428	C₂²⋊#1055	C₂³	1	1	yes	characteristic
429	C₂²⋊#1055	C₂³	1	1	yes	characteristic
430	C₂²⋊#1055	C₂³	1	1	yes	characteristic
431	C₂²⋊#1055	C₂³	1	1	yes	characteristic
432	C₂²⋊#1055	C₂³	1	1	yes	characteristic
433	#88050	C₂³	1	1	yes	characteristic
434	#88050	C₂³	1	1	yes	characteristic
435	#88050	C₂³	1	1	yes	characteristic
436	#88050	C₂³	1	1	yes	characteristic
437	#88050	C₂³	1	1	yes	characteristic
438	#88050	C₂³	1	1	yes	characteristic
439	#88050	C₂³	1	1	yes	characteristic
440	#88050	C₂³	1	1	yes	characteristic
441	#88050	C₂³	1	1	yes	characteristic
442	#88050	C₂³	1	1	yes	characteristic
443	#88050	C₂³	1	1	yes	characteristic
444	#88050	C₂³	1	1	yes	characteristic
445	#88049	C₂³	1	1	yes	characteristic
446	#88049	C₂³	1	1	yes	characteristic
447	#88049	C₂³	1	1	yes	characteristic
448	#88049	C₂³	1	1	yes	characteristic
449	#88048	C₂³	1	1	yes	characteristic
450	#88048	C₂³	1	1	yes	characteristic
451	#88048	C₂³	1	1	yes	characteristic
452	#88048	C₂³	1	1	yes	characteristic
453	#88048	C₂³	1	1	yes	characteristic
454	#88048	C₂³	1	1	yes	characteristic
455	#88048	C₂³	1	1	yes	characteristic
456	#88048	C₂³	1	1	yes	characteristic
457	#88048	C₂³	1	1	yes	characteristic
458	#88048	C₂³	1	1	yes	characteristic
459	#88047	C₂³	1	1	yes	characteristic
460	#88047	C₂³	1	1	yes	characteristic
461	#88047	C₂³	1	1	yes	characteristic
462	#88047	C₂³	1	1	yes	characteristic
463	#88047	C₂³	1	1	yes	characteristic
464	#88047	C₂³	1	1	yes	characteristic
465	C₄⋊#1055	C₂³	1	1	yes	characteristic
466	C₄⋊#1055	C₂³	1	1	yes	characteristic
467	C₄⋊#1055	C₂³	1	1	yes	characteristic
468	C₄⋊#1055	C₂³	1	1	yes	characteristic
469	C₄⋊#1055	C₂³	1	1	yes	characteristic
470	C₄⋊#1055	C₂³	1	1	yes	characteristic
471	#88043	C₂³	1	1	yes	characteristic
472	#88043	C₂³	1	1	yes	characteristic
473	#88043	C₂³	1	1	yes	characteristic
474	#88043	C₂³	1	1	yes	characteristic
475	C₄×#1055	C₂³	1	1	yes	characteristic
476	C₄×#1055	C₂³	1	1	yes	characteristic
477	C₄×#1055	C₂³	1	1	yes	characteristic
478	C₄×#1055	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61445	—	13	1	no	maximal, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂⁴×C₁₃	—	2	1	no	—
484	C₁₃×#41	—	2	2	no	—
485	C₁₃×#41	—	4	2	no	—
486	C₁₃×#41	—	4	1	no	—
487	C₁₃×#41	—	8	2	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₁₃	—	2	2	no	—
492	C₂×D₄×C₁₃	—	2	2	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	4	1	no	—
503	C₂×D₄×C₁₃	—	4	1	no	—
504	C₂×D₄×C₁₃	—	4	4	no	—
505	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	8	2	no	—
523	C₂²×C₄×C₁₃	—	8	2	no	—
524	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	—	2	1	no	—
537	C₂²×Dic₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	#6129	—	4	4	no	—
541	#6127	—	2	2	no	—
542	#6127	—	4	1	no	—
543	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₁₃	—	2	1	no	—
545	C₂×C₄×D₁₃	—	2	1	no	—
546	C₂×C₄×D₁₃	—	2	1	no	—
547	C₂×Dic₂₆	—	2	2	no	—
548	C₂×Dic₂₆	—	2	2	no	—
549	C₂×Dic₂₆	—	2	1	no	—
550	C₂×Dic₂₆	—	2	1	no	—
551	C₂×Dic₂₆	—	2	1	no	—
552	C₂×Dic₂₆	—	4	1	no	—
553	C₂×Dic₂₆	—	4	1	no	—
554	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
555	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
556	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
569	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
570	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
571	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
572	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
573	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
574	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
575	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
576	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
577	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
578	C₁₃×C₂²⋊C₄	—	2	1	no	—
579	C₁₃×C₂²⋊C₄	—	2	1	no	—
580	C₁₃×C₂²⋊C₄	—	2	1	no	—
581	C₁₃×C₂²⋊C₄	—	2	1	no	—
582	C₁₃×C₂²⋊C₄	—	2	1	no	—
583	C₁₃×C₂²⋊C₄	—	2	1	no	—
584	C₁₃×C₂²⋊C₄	—	2	1	no	—
585	C₁₃×C₂²⋊C₄	—	2	1	no	—
586	C₁₃×C₂²⋊C₄	—	2	1	no	—
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₄²×C₁₃	—	2	1	no	—
604	C₄²×C₁₃	—	2	1	no	—
605	C₄²×C₁₃	—	2	1	no	—
606	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
609	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
610	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
611	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
612	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
615	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	#6107	—	2	2	no	—
622	#6107	—	2	2	no	—
623	#6107	—	4	1	no	—
624	#6106	—	4	1	no	—
625	#6105	—	2	2	no	—
626	#6105	—	2	2	no	—
627	#6105	—	2	2	no	—
628	#6105	—	2	2	no	—
629	#6105	—	2	2	no	—
630	#6105	—	4	1	no	—
631	#6105	—	4	1	no	—
632	#6105	—	4	1	no	—
633	#6105	#41	1	4	yes	complemented
634	#6104	—	2	2	no	—
635	#6104	—	2	2	no	—
636	#6104	—	4	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	C₄⋊Dic₁₃	—	2	1	no	—
646	C₄⋊Dic₁₃	—	2	1	no	—
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
651	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
654	#6101	—	2	1	no	—
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	C₄×Dic₁₃	—	2	1	no	—
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	—	2	1	no	—
673	C₄×Dic₁₃	—	2	1	no	—
674	C₄×Dic₁₃	—	2	1	no	—
675	C₄×Dic₁₃	—	2	1	no	—
676	C₄×Dic₁₃	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	—	2	1	no	—
679	#6099	—	2	2	no	—
680	#6099	—	2	2	no	—
681	#6099	—	4	1	no	—
682	#6099	—	4	1	no	—
683	C₂×#1055	—	2	2	no	—
684	C₂×#1055	—	4	1	no	—
685	C₂×#1055	C₂⁴	1	1	yes	characteristic
686	C₂×#1055	C₂⁴	1	1	yes	characteristic
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	C₂×#1055	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	C₂⁴	1	1	yes	characteristic
691	C₂×#1055	C₂⁴	1	1	yes	characteristic
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	#3482	—	13	1	no	—
694	#3481	D₁₃	1	1	yes	characteristic, complemented
695	#3401	—	13	1	no	—
696	#3388	—	13	1	no	—
697	#3376	—	13	1	no	—
698	#3371	—	13	1	no	—
699	#3351	—	13	1	no	—
700	#3345	—	13	1	no	—
701	#3344	—	13	1	no	—
702	#3326	—	13	1	no	—
703	#3323	—	13	1	no	—
704	#3320	—	13	1	no	—
705	#3316	—	13	1	no	—
706	#3310	—	13	1	no	—
707	#3306	—	13	1	no	—
708	#3275	—	13	1	no	—
709	#3266	—	13	1	no	—
710	#3265	—	13	1	no	—
711	#3172	—	13	1	no	—
712	#3171	—	13	1	no	—
713	#3168	—	13	1	no	—
714	#3108	—	13	1	no	—
715	#3105	—	13	1	no	—
716	#3103	—	13	1	no	—
717	#3102	—	13	1	no	—
718	#3102	—	13	1	no	—
719	#3101	—	13	1	no	—
720	#2965	—	13	1	no	—
721	C₄×#137	—	13	1	no	—
722	C₄×AGL(1,ℤ/8)	—	13	1	no	—
723	C₂×C₄×SD₁₆	—	13	1	no	—
724	C₂³×C₁₃	—	2	1	no	—
725	C₂³×C₁₃	—	2	1	no	—
726	C₂³×C₁₃	—	2	1	no	—
727	C₂³×C₁₃	—	4	2	no	—
728	C₂³×C₁₃	—	4	2	no	—
729	C₂³×C₁₃	—	4	2	no	—
730	C₂³×C₁₃	—	4	2	no	—
731	C₂³×C₁₃	—	8	1	no	—
732	C₂³×C₁₃	—	8	1	no	—
733	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
734	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
735	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
736	C₂²×D₁₃	—	2	1	no	—
737	Q₈×C₁₃	—	2	1	no	—
738	Q₈×C₁₃	—	2	1	no	—
739	Q₈×C₁₃	—	4	1	no	—
740	Q₈×C₁₃	—	8	1	no	—
741	D₄×C₁₃	—	2	2	no	—
742	D₄×C₁₃	—	2	2	no	—
743	D₄×C₁₃	—	2	1	no	—
744	D₄×C₁₃	—	2	1	no	—
745	D₄×C₁₃	—	2	1	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	2	1	no	—
748	D₄×C₁₃	—	4	1	no	—
749	D₄×C₁₃	—	4	2	no	—
750	D₄×C₁₃	—	4	2	no	—
751	D₄×C₁₃	—	4	2	no	—
752	D₄×C₁₃	—	4	2	no	—
753	D₄×C₁₃	—	4	2	no	—
754	D₄×C₁₃	—	4	2	no	—
755	D₄×C₁₃	—	8	1	no	—
756	D₄×C₁₃	—	8	1	no	—
757	D₄×C₁₃	—	8	1	no	—
758	D₄×C₁₃	C₂×#41	1	2	yes	—
759	C₂×C₄×C₁₃	—	2	2	no	—
760	C₂×C₄×C₁₃	—	2	2	no	—
761	C₂×C₄×C₁₃	—	2	2	no	—
762	C₂×C₄×C₁₃	—	2	2	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	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	—	4	1	no	—
775	C₂×C₄×C₁₃	—	4	1	no	—
776	C₂×C₄×C₁₃	—	4	2	no	—
777	C₂×C₄×C₁₃	—	4	2	no	—
778	C₂×C₄×C₁₃	—	4	2	no	—
779	C₂×C₄×C₁₃	—	4	2	no	—
780	C₂×C₄×C₁₃	—	4	2	no	—
781	C₂×C₄×C₁₃	—	8	1	no	—
782	C₂×C₄×C₁₃	—	8	1	no	—
783	C₂×C₄×C₁₃	—	8	1	no	—
784	C₂×C₄×C₁₃	—	8	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂²⋊D₁₃	—	4	2	no	—
801	C₂²⋊D₁₃	—	4	2	no	—
802	C₂×Dic₁₃	—	2	1	no	—
803	C₂×Dic₁₃	—	2	1	no	—
804	C₂×Dic₁₃	—	2	1	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	2	1	no	—
809	C₂×Dic₁₃	—	4	2	no	—
810	C₂×Dic₁₃	—	4	2	no	—
811	C₂×Dic₁₃	—	4	2	no	—
812	C₂×Dic₁₃	—	4	2	no	—
813	D₅₂	—	2	1	no	—
814	D₅₂	—	2	1	no	—
815	C₄×D₁₃	—	4	2	no	—
816	C₄×D₁₃	—	4	2	no	—
817	C₄×D₁₃	—	4	2	no	—
818	Dic₂₆	—	2	1	no	—
819	Dic₂₆	—	2	1	no	—
820	Dic₂₆	—	2	1	no	—
821	Dic₂₆	—	2	1	no	—
822	Dic₂₆	—	2	1	no	—
823	Dic₂₆	—	4	2	no	—
824	Dic₂₆	—	4	2	no	—
825	Dic₂₆	—	4	2	no	—
826	Dic₂₆	C₂×#41	1	2	yes	—
827	#1055	—	2	1	no	—
828	#1055	—	2	1	no	—
829	#1055	—	2	1	no	—
830	#1055	—	2	1	no	—
831	#1055	—	2	1	no	—
832	#1055	—	2	1	no	—
833	#1055	—	2	1	no	—
834	#1055	C₂×#41	1	2	yes	—
835	C₂×#137	—	13	1	no	—
836	C₂×AGL(1,ℤ/8)	—	13	1	no	—
837	C₂²×SD₁₆	—	13	1	no	—
838	#559	C₂×D₁₃	1	1	yes	characteristic
839	#557	—	13	1	no	—
840	#556	—	13	1	no	—
841	#556	—	26	1	no	—
842	#554	C₂×D₁₃	1	1	yes	characteristic
843	#554	C₂×D₁₃	1	1	yes	characteristic
844	#553	—	2	1	no	—
845	#553	C₂×D₁₃	1	1	yes	characteristic
846	#553	C₂×D₁₃	1	1	yes	characteristic
847	#552	—	13	1	no	—
848	#552	—	13	1	no	—
849	#552	—	26	1	no	—
850	#552	—	26	1	no	—
851	#551	—	2	1	no	—
852	#551	—	2	1	no	—
853	D₄×Q₈	—	13	1	no	—
854	#548	—	13	1	no	—
855	#548	—	13	1	no	—
856	#547	—	13	1	no	—
857	#547	—	26	1	no	—
858	#546	—	2	1	no	—
859	#546	C₂×D₁₃	1	1	yes	characteristic
860	#546	C₂×D₁₃	1	1	yes	characteristic
861	D₄²	C₂×D₁₃	1	1	yes	characteristic
862	#533	—	13	1	no	—
863	#533	—	26	1	no	—
864	#532	C₂×D₁₃	1	1	yes	characteristic
865	#529	—	2	1	no	—
866	#529	—	13	1	no	—
867	#529	—	13	1	no	—
868	#529	—	26	1	no	—
869	#529	—	26	1	no	—
870	#529	C₂×D₁₃	1	1	yes	characteristic
871	#529	C₂×D₁₃	1	1	yes	characteristic
872	#525	—	2	1	no	—
873	#525	—	2	1	no	—
874	C₄×#41	—	13	1	no	—
875	C₄×#41	—	26	1	no	—
876	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
877	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
878	C₂×C₄×Q₈	—	13	1	no	—
879	C₂×C₄×Q₈	—	13	1	no	—
880	C₂×C₄×D₄	—	2	1	no	—
881	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
882	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
883	#501	—	13	1	no	—
884	#501	—	13	1	no	—
885	#499	—	13	1	no	—
886	#497	—	13	1	no	—
887	#496	—	13	1	no	—
888	#495	—	13	1	no	—
889	#491	—	13	1	no	—
890	#490	—	13	1	no	—
891	#489	—	13	1	no	—
892	#489	—	13	1	no	—
893	#488	—	13	1	no	—
894	#488	—	13	1	no	—
895	#485	—	13	1	no	—
896	#485	—	13	1	no	—
897	#484	—	13	1	no	—
898	#483	—	13	1	no	—
899	#483	—	13	1	no	—
900	#483	—	13	1	no	—
901	#482	—	13	1	no	—
902	#482	—	13	1	no	—
903	#481	—	13	1	no	—
904	#481	—	13	1	no	—
905	#481	—	13	1	no	—
906	#480	—	13	1	no	—
907	#479	—	13	1	no	—
908	#479	—	13	1	no	—
909	#479	—	13	1	no	—
910	#479	—	13	1	no	—
911	#478	—	13	1	no	—
912	#478	—	13	1	no	—
913	#478	—	13	1	no	—
914	#478	—	13	1	no	—
915	#476	—	13	1	no	—
916	#476	—	13	1	no	—
917	#475	—	13	1	no	—
918	#475	—	13	1	no	—
919	#470	—	13	1	no	—
920	#470	—	13	1	no	—
921	#469	—	13	1	no	—
922	#469	—	13	1	no	—
923	#468	—	13	1	no	—
924	#468	—	13	1	no	—
925	#468	—	13	1	no	—
926	#468	—	13	1	no	—
927	#467	—	13	1	no	—
928	#466	—	13	1	no	—
929	#465	—	13	1	no	—
930	#465	—	13	1	no	—
931	#464	—	13	1	no	—
932	#464	—	13	1	no	—
933	#464	—	13	1	no	—
934	#464	—	13	1	no	—
935	#463	—	13	1	no	—
936	#463	—	13	1	no	—
937	#463	—	13	1	no	—
938	#463	—	13	1	no	—
939	#461	—	13	1	no	—
940	#461	—	13	1	no	—
941	#460	—	13	1	no	—
942	#460	—	13	1	no	—
943	#452	—	13	1	no	—
944	#452	—	13	1	no	—
945	#451	—	13	1	no	—
946	#450	—	13	1	no	—
947	#450	—	13	1	no	—
948	#450	—	13	1	no	—
949	#449	—	13	1	no	—
950	#449	—	13	1	no	—
951	#448	—	13	1	no	—
952	#448	—	13	1	no	—
953	#448	—	13	1	no	—
954	#447	—	13	1	no	—
955	#446	—	13	1	no	—
956	#446	—	13	1	no	—
957	#442	—	13	1	no	—
958	#442	—	13	1	no	—
959	#441	—	13	1	no	—
960	#441	—	13	1	no	—
961	#440	—	13	1	no	—
962	#440	—	13	1	no	—
963	#440	—	13	1	no	—
964	#440	—	13	1	no	—
965	C₄×Q₁₆	—	13	1	no	—
966	C₄×Q₁₆	—	13	1	no	—
967	C₄×Q₁₆	—	13	1	no	—
968	C₄×SD₁₆	—	13	1	no	—
969	C₄×SD₁₆	—	13	1	no	—
970	C₄×SD₁₆	—	13	1	no	—
971	C₄×SD₁₆	—	13	1	no	—
972	C₄×SD₁₆	—	13	1	no	—
973	C₄×SD₁₆	—	13	1	no	—
974	C₄×SD₁₆	—	13	1	no	—
975	C₄×SD₁₆	—	13	1	no	—
976	C₄×SD₁₆	—	13	1	no	—
977	C₄×SD₁₆	—	13	1	no	—
978	C₄×SD₁₆	—	13	1	no	—
979	C₄×SD₁₆	—	13	1	no	—
980	C₄×SD₁₆	—	13	1	no	—
981	C₄×SD₁₆	—	13	1	no	—
982	C₄×D₈	—	13	1	no	—
983	C₄×D₈	—	13	1	no	—
984	C₄×D₈	—	13	1	no	—
985	#436	—	13	1	no	—
986	#436	—	13	1	no	—
987	#435	—	13	1	no	—
988	#435	—	13	1	no	—
989	#435	—	13	1	no	—
990	#435	—	13	1	no	—
991	#431	—	13	1	no	—
992	#431	—	13	1	no	—
993	#431	—	13	1	no	—
994	#428	—	13	1	no	—
995	#428	—	13	1	no	—
996	C₂×#106	—	13	1	no	—
997	#419	—	13	1	no	—
998	#418	—	13	1	no	—
999	#417	—	13	1	no	—
1000	#417	—	13	1	no	—
1001	C₂×#103	—	13	1	no	—
1002	C₂×#102	—	13	1	no	—
1003	C₄×M₁₆	—	13	1	no	—
1004	C₄×M₁₆	—	13	1	no	—
1005	C₂×C₄×C₈	—	13	1	no	—
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	2	1	no	—
1008	C₂²×C₁₃	—	2	1	no	—
1009	C₂²×C₁₃	—	2	1	no	—
1010	C₂²×C₁₃	—	2	2	no	—
1011	C₂²×C₁₃	—	2	1	no	—
1012	C₂²×C₁₃	—	2	1	no	—
1013	C₂²×C₁₃	—	2	1	no	—
1014	C₂²×C₁₃	—	2	1	no	—
1015	C₂²×C₁₃	—	4	1	no	—
1016	C₂²×C₁₃	—	4	1	no	—
1017	C₂²×C₁₃	—	4	1	no	—
1018	C₂²×C₁₃	—	4	1	no	—
1019	C₂²×C₁₃	—	4	1	no	—
1020	C₂²×C₁₃	—	4	1	no	—
1021	C₂²×C₁₃	—	4	1	no	—
1022	C₂²×C₁₃	—	4	1	no	—
1023	C₂²×C₁₃	—	8	4	no	—
1024	C₂²×C₁₃	—	8	4	no	—
1025	C₂²×C₁₃	#575	1	2	yes	—
1026	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1027	C₂×D₁₃	—	4	1	no	—
1028	C₂×D₁₃	—	4	1	no	—
1029	C₂×D₁₃	—	4	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	2	1	no	—
1034	C₄×C₁₃	—	2	1	no	—
1035	C₄×C₁₃	—	2	1	no	—
1036	C₄×C₁₃	—	2	1	no	—
1037	C₄×C₁₃	—	2	1	no	—
1038	C₄×C₁₃	—	2	1	no	—
1039	C₄×C₁₃	—	2	1	no	—
1040	C₄×C₁₃	—	4	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	C₄×C₁₃	—	4	1	no	—
1045	C₄×C₁₃	#577	1	2	yes	—
1046	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1047	C₄×C₁₃	#585	1	1	yes	characteristic
1048	Dic₁₃	—	2	2	no	—
1049	Dic₁₃	—	4	1	no	—
1050	Dic₁₃	—	4	1	no	—
1051	Dic₁₃	—	4	1	no	—
1052	Dic₁₃	—	4	1	no	—
1053	Dic₁₃	—	4	1	no	—
1054	Dic₁₃	—	4	1	no	—
1055	C₂×#41	—	2	1	no	—
1056	C₂×#41	—	13	1	no	—
1057	C₂×#41	—	26	1	no	—
1058	C₂×#41	C₂²⋊D₁₃	1	1	yes	characteristic
1059	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1060	C₂²×Q₈	—	13	1	no	—
1061	C₂²×Q₈	—	13	1	no	—
1062	C₂²×D₄	—	2	1	no	—
1063	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1064	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1065	C₂³×C₄	—	2	1	no	—
1066	C₂³×C₄	—	2	1	no	—
1067	#137	—	26	4	no	—
1068	AGL(1,ℤ/8)	—	26	4	no	—
1069	C₂×Q₁₆	—	13	1	no	—
1070	C₂×Q₁₆	—	13	1	no	—
1071	C₂×Q₁₆	—	13	1	no	—
1072	C₂×SD₁₆	—	13	1	no	—
1073	C₂×SD₁₆	—	13	1	no	—
1074	C₂×SD₁₆	—	13	1	no	—
1075	C₂×SD₁₆	—	13	1	no	—
1076	C₂×SD₁₆	—	13	1	no	—
1077	C₂×SD₁₆	—	13	1	no	—
1078	C₂×SD₁₆	—	13	1	no	—
1079	C₂×SD₁₆	—	13	1	no	—
1080	C₂×SD₁₆	—	13	1	no	—
1081	C₂×SD₁₆	—	13	1	no	—
1082	C₂×SD₁₆	—	26	4	no	—
1083	C₂×D₈	—	13	1	no	—
1084	C₂×D₈	—	13	1	no	—
1085	C₂×D₈	—	13	1	no	—
1086	C₂×M₁₆	—	13	1	no	—
1087	C₂×M₁₆	—	13	1	no	—
1088	C₂×M₁₆	—	13	1	no	—
1089	C₂×M₁₆	—	13	1	no	—
1090	C₂²×C₈	—	13	1	no	—
1091	C₂²×C₈	—	13	1	no	—
1092	C₄⋊Q₈	—	13	1	no	—
1093	C₄⋊Q₈	—	13	1	no	—
1094	C₄⋊Q₈	—	26	1	no	—
1095	C₄⋊Q₈	—	26	1	no	—
1096	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1097	#127	C₂²×D₁₃	1	1	yes	characteristic
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	26	1	no	—
1103	#126	—	26	1	no	—
1104	#126	—	26	1	no	—
1105	#126	—	26	1	no	—
1106	#126	—	26	1	no	—
1107	#126	—	26	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	13	1	no	—
1110	#125	—	13	1	no	—
1111	#125	—	26	1	no	—
1112	#125	—	26	1	no	—
1113	#125	—	26	1	no	—
1114	#125	—	26	1	no	—
1115	#125	—	26	1	no	—
1116	#125	C₂²×D₁₃	1	1	yes	characteristic
1117	#125	C₂²×D₁₃	1	1	yes	characteristic
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	13	1	no	—
1121	#124	—	13	1	no	—
1122	#124	—	26	1	no	—
1123	#124	—	26	1	no	—
1124	#124	C₂²×D₁₃	1	1	yes	characteristic
1125	#124	C₂²×D₁₃	1	1	yes	characteristic
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	26	1	no	—
1135	#123	—	26	1	no	—
1136	#123	—	26	1	no	—
1137	#123	—	26	1	no	—
1138	#123	—	26	1	no	—
1139	#123	—	26	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	13	1	no	—
1146	C₂²⋊Q₈	—	13	1	no	—
1147	C₂²⋊Q₈	—	13	1	no	—
1148	C₂²⋊Q₈	—	13	1	no	—
1149	C₂²⋊Q₈	—	26	1	no	—
1150	C₂²⋊Q₈	—	26	1	no	—
1151	C₂²⋊Q₈	—	26	1	no	—
1152	C₂²⋊Q₈	—	26	1	no	—
1153	C₂²⋊Q₈	—	26	1	no	—
1154	C₂²⋊Q₈	—	26	1	no	—
1155	C₂²⋊Q₈	—	26	1	no	—
1156	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	13	1	no	—
1165	#121	—	13	1	no	—
1166	#121	—	26	1	no	—
1167	#121	—	26	1	no	—
1168	#121	C₂²×D₁₃	1	1	yes	characteristic
1169	#121	C₂²×D₁₃	1	1	yes	characteristic
1170	#121	C₂²×D₁₃	1	1	yes	characteristic
1171	#121	C₂²×D₁₃	1	1	yes	characteristic
1172	#120	—	2	1	no	—
1173	#120	—	2	1	no	—
1174	#120	—	2	1	no	—
1175	#120	—	2	1	no	—
1176	C₄×Q₈	—	13	1	no	—
1177	C₄×Q₈	—	13	1	no	—
1178	C₄×Q₈	—	13	1	no	—
1179	C₄×Q₈	—	13	1	no	—
1180	C₄×Q₈	—	13	1	no	—
1181	C₄×Q₈	—	13	1	no	—
1182	C₄×Q₈	—	13	1	no	—
1183	C₄×Q₈	—	13	1	no	—
1184	C₄×Q₈	—	26	1	no	—
1185	C₄×Q₈	—	26	1	no	—
1186	C₄×Q₈	—	26	1	no	—
1187	C₄×Q₈	—	26	1	no	—
1188	C₄×Q₈	—	26	1	no	—
1189	C₄×Q₈	—	26	1	no	—
1190	C₄×Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1191	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1192	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1193	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	13	1	no	—
1208	C₄×D₄	—	13	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1217	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1218	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1219	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1220	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1221	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1222	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1223	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1224	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1225	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1226	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1227	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1228	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1229	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	13	1	no	—
1234	#117	—	26	1	no	—
1235	#117	—	26	1	no	—
1236	#117	—	26	1	no	—
1237	#117	—	26	1	no	—
1238	#117	—	26	1	no	—
1239	#117	—	26	1	no	—
1240	#117	—	26	1	no	—
1241	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1242	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1243	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1244	#117	C₂²×D₁₃	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	—	2	1	no	—
1246	C₂×C₄⋊C₄	—	13	1	no	—
1247	C₂×C₄⋊C₄	—	13	1	no	—
1248	C₂×C₄⋊C₄	—	26	1	no	—
1249	C₂×C₄⋊C₄	—	26	1	no	—
1250	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1251	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	—	2	1	no	—
1253	C₂×C₂²⋊C₄	—	2	1	no	—
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₄²	—	2	1	no	—
1257	C₂×C₄²	—	26	1	no	—
1258	C₂×C₄²	—	26	1	no	—
1259	C₂×C₄²	—	26	1	no	—
1260	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1261	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1262	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1263	#107	—	13	1	no	—
1264	#107	—	13	1	no	—
1265	#107	—	13	1	no	—
1266	#107	—	13	1	no	—
1267	#107	—	13	1	no	—
1268	#107	—	13	1	no	—
1269	#106	—	13	1	no	—
1270	#106	—	13	1	no	—
1271	#106	—	13	1	no	—
1272	#106	—	13	1	no	—
1273	#106	—	13	1	no	—
1274	#106	—	13	1	no	—
1275	#106	—	13	1	no	—
1276	#106	—	13	1	no	—
1277	#106	—	13	1	no	—
1278	#106	—	13	1	no	—
1279	C₄⋊C₈	—	13	1	no	—
1280	C₄⋊C₈	—	13	1	no	—
1281	C₄⋊C₈	—	13	1	no	—
1282	C₄⋊C₈	—	13	1	no	—
1283	C₄⋊C₈	—	13	1	no	—
1284	C₄⋊C₈	—	13	1	no	—
1285	#103	—	13	1	no	—
1286	#103	—	13	1	no	—
1287	#103	—	13	1	no	—
1288	#103	—	13	1	no	—
1289	#103	—	13	1	no	—
1290	#103	—	13	1	no	—
1291	#103	—	13	1	no	—
1292	#103	—	13	1	no	—
1293	#103	—	13	1	no	—
1294	#103	—	13	1	no	—
1295	#103	—	13	1	no	—
1296	#103	—	13	1	no	—
1297	#103	—	13	1	no	—
1298	#103	—	13	1	no	—
1299	#103	—	13	1	no	—
1300	#103	—	13	1	no	—
1301	#102	—	13	1	no	—
1302	#102	—	13	1	no	—
1303	#102	—	13	1	no	—
1304	#102	—	13	1	no	—
1305	#102	—	13	1	no	—
1306	#102	—	13	1	no	—
1307	#102	—	13	1	no	—
1308	#102	—	13	1	no	—
1309	#102	—	13	1	no	—
1310	#102	—	13	1	no	—
1311	#102	—	13	1	no	—
1312	#102	—	13	1	no	—
1313	#102	—	13	1	no	—
1314	#102	—	13	1	no	—
1315	#102	—	13	1	no	—
1316	#102	—	13	1	no	—
1317	C₂²⋊C₈	—	13	1	no	—
1318	C₂²⋊C₈	—	13	1	no	—
1319	C₂²⋊C₈	—	13	1	no	—
1320	C₂²⋊C₈	—	13	1	no	—
1321	C₂²⋊C₈	—	13	1	no	—
1322	C₂²⋊C₈	—	13	1	no	—
1323	#97	—	13	1	no	—
1324	#97	—	13	1	no	—
1325	#97	—	13	1	no	—
1326	#97	—	13	1	no	—
1327	C₄×C₈	—	13	1	no	—
1328	C₄×C₈	—	13	1	no	—
1329	C₄×C₈	—	13	1	no	—
1330	C₄×C₈	—	13	1	no	—
1331	C₄×C₈	—	13	1	no	—
1332	C₄×C₈	—	13	1	no	—
1333	C₂×C₁₃	—	2	2	no	—
1334	C₂×C₁₃	—	4	1	no	—
1335	C₂×C₁₃	—	4	1	no	—
1336	C₂×C₁₃	—	4	2	no	—
1337	C₂×C₁₃	—	8	1	no	—
1338	C₂×C₁₃	—	8	1	no	—
1339	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1340	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1341	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1342	D₁₃	—	8	1	no	—
1343	C₂⁴	—	2	1	no	—
1344	C₂⁴	—	2	1	no	—
1345	#41	—	2	2	no	—
1346	#41	—	4	2	no	—
1347	#41	—	4	1	no	—
1348	#41	—	8	2	no	—
1349	#41	—	26	2	no	—
1350	#41	—	52	1	no	—
1351	#41	—	52	4	no	—
1352	C₂×Q₈	—	2	1	no	—
1353	C₂×Q₈	—	13	1	no	—
1354	C₂×Q₈	—	13	1	no	—
1355	C₂×Q₈	—	13	1	no	—
1356	C₂×Q₈	—	26	2	no	—
1357	C₂×Q₈	—	26	2	no	—
1358	C₂×Q₈	—	26	1	no	—
1359	C₂×Q₈	—	26	1	no	—
1360	C₂×Q₈	—	26	1	no	—
1361	C₂×Q₈	—	52	1	no	—
1362	C₂×Q₈	—	52	1	no	—
1363	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1364	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1365	C₂×D₄	—	2	2	no	—
1366	C₂×D₄	—	2	2	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	4	1	no	—
1377	C₂×D₄	—	4	1	no	—
1378	C₂×D₄	—	4	4	no	—
1379	C₂×D₄	—	13	1	no	—
1380	C₂×D₄	—	26	1	no	—
1381	C₂×D₄	—	26	1	no	—
1382	C₂×D₄	—	26	1	no	—
1383	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1384	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1385	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1386	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1387	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1388	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	8	2	no	—
1401	C₂²×C₄	—	8	2	no	—
1402	C₂²×C₄	—	26	1	no	—
1403	C₂²×C₄	—	26	1	no	—
1404	C₂²×C₄	—	26	1	no	—
1405	C₂²×C₄	—	26	1	no	—
1406	C₂²×C₄	—	26	1	no	—
1407	C₂²×C₄	—	26	1	no	—
1408	C₂²×C₄	—	26	1	no	—
1409	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1410	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1411	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1412	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1413	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1414	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1415	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1416	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1417	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1418	Q₁₆	—	26	2	no	—
1419	Q₁₆	—	26	2	no	—
1420	Q₁₆	—	52	1	no	—
1421	SD₁₆	—	13	4	no	—
1422	SD₁₆	—	26	2	no	—
1423	SD₁₆	—	26	2	no	—
1424	SD₁₆	—	26	2	no	—
1425	SD₁₆	—	26	2	no	—
1426	SD₁₆	—	26	2	no	—
1427	SD₁₆	—	52	1	no	—
1428	SD₁₆	—	52	1	no	—
1429	SD₁₆	—	52	1	no	—
1430	SD₁₆	—	52	1	no	—
1431	D₈	—	26	2	no	—
1432	D₈	—	26	2	no	—
1433	D₈	—	52	1	no	—
1434	M₁₆	—	26	2	no	—
1435	M₁₆	—	26	2	no	—
1436	M₁₆	—	52	1	no	—
1437	M₁₆	—	52	1	no	—
1438	C₂×C₈	—	13	1	no	—
1439	C₂×C₈	—	13	1	no	—
1440	C₂×C₈	—	13	1	no	—
1441	C₂×C₈	—	13	1	no	—
1442	C₂×C₈	—	13	1	no	—
1443	C₂×C₈	—	13	1	no	—
1444	C₂×C₈	—	13	1	no	—
1445	C₂×C₈	—	13	1	no	—
1446	C₂×C₈	—	26	2	no	—
1447	C₂×C₈	—	52	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	13	1	no	—
1460	C₄⋊C₄	—	13	1	no	—
1461	C₄⋊C₄	—	13	1	no	—
1462	C₄⋊C₄	—	13	1	no	—
1463	C₄⋊C₄	—	26	1	no	—
1464	C₄⋊C₄	—	26	1	no	—
1465	C₄⋊C₄	—	26	1	no	—
1466	C₄⋊C₄	—	26	1	no	—
1467	C₄⋊C₄	—	26	1	no	—
1468	C₄⋊C₄	—	26	1	no	—
1469	C₄⋊C₄	—	26	1	no	—
1470	C₄⋊C₄	—	26	1	no	—
1471	C₄⋊C₄	—	26	1	no	—
1472	C₄⋊C₄	—	26	1	no	—
1473	C₄⋊C₄	—	26	1	no	—
1474	C₄⋊C₄	—	26	1	no	—
1475	C₄⋊C₄	—	26	1	no	—
1476	C₄⋊C₄	—	26	1	no	—
1477	C₄⋊C₄	—	26	1	no	—
1478	C₄⋊C₄	—	26	1	no	—
1479	C₄⋊C₄	—	26	1	no	—
1480	C₄⋊C₄	—	26	1	no	—
1481	C₄⋊C₄	—	26	1	no	—
1482	C₄⋊C₄	—	26	1	no	—
1483	C₄⋊C₄	—	26	1	no	—
1484	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1485	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1486	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1487	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1490	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	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	—	26	1	no	—
1524	C₂²⋊C₄	—	26	1	no	—
1525	C₂²⋊C₄	—	26	1	no	—
1526	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	26	1	no	—
1536	C₄²	—	26	1	no	—
1537	C₄²	—	26	1	no	—
1538	C₄²	—	26	1	no	—
1539	C₄²	—	26	1	no	—
1540	C₄²	—	26	1	no	—
1541	C₄²	—	26	1	no	—
1542	C₄²	—	26	1	no	—
1543	C₄²	—	26	1	no	—
1544	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1545	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1546	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1547	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1548	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1549	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1550	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1551	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1552	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1553	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1554	C₁₃	#61445	1	1	yes	characteristic, complemented, Sylow
1555	C₂³	—	2	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	—	4	2	no	—
1559	C₂³	—	4	2	no	—
1560	C₂³	—	4	2	no	—
1561	C₂³	—	4	2	no	—
1562	C₂³	—	8	1	no	—
1563	C₂³	—	8	1	no	—
1564	C₂³	—	26	1	no	—
1565	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1566	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1567	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	4	1	no	—
1571	Q₈	—	8	1	no	—
1572	Q₈	—	13	2	no	—
1573	Q₈	—	26	1	no	—
1574	Q₈	—	26	1	no	—
1575	Q₈	—	26	1	no	—
1576	Q₈	—	26	1	no	—
1577	Q₈	—	26	1	no	—
1578	Q₈	—	52	2	no	—
1579	Q₈	—	52	2	no	—
1580	Q₈	—	52	2	no	—
1581	D₄	—	2	2	no	—
1582	D₄	—	2	2	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	2	1	no	—
1585	D₄	—	2	1	no	—
1586	D₄	—	2	1	no	—
1587	D₄	—	2	1	no	—
1588	D₄	—	4	1	no	—
1589	D₄	—	4	2	no	—
1590	D₄	—	4	2	no	—
1591	D₄	—	4	2	no	—
1592	D₄	—	4	2	no	—
1593	D₄	—	4	2	no	—
1594	D₄	—	4	2	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	D₄	—	8	1	no	—
1598	D₄	—	26	1	no	—
1599	D₄	—	26	1	no	—
1600	D₄	—	52	2	no	—
1601	D₄	—	52	2	no	—
1602	D₄	—	52	2	no	—
1603	D₄	#41×D₁₃	1	2	yes	—
1604	C₂×C₄	—	2	2	no	—
1605	C₂×C₄	—	2	2	no	—
1606	C₂×C₄	—	2	2	no	—
1607	C₂×C₄	—	2	2	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	4	1	no	—
1620	C₂×C₄	—	4	1	no	—
1621	C₂×C₄	—	4	2	no	—
1622	C₂×C₄	—	4	2	no	—
1623	C₂×C₄	—	4	2	no	—
1624	C₂×C₄	—	4	2	no	—
1625	C₂×C₄	—	4	2	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	26	1	no	—
1633	C₂×C₄	—	26	1	no	—
1634	C₂×C₄	—	26	1	no	—
1635	C₂×C₄	—	26	1	no	—
1636	C₂×C₄	—	26	1	no	—
1637	C₂×C₄	—	26	1	no	—
1638	C₂×C₄	—	26	1	no	—
1639	C₂×C₄	—	52	2	no	—
1640	C₂×C₄	—	52	2	no	—
1641	C₂×C₄	—	52	2	no	—
1642	C₂×C₄	—	52	2	no	—
1643	C₂×C₄	—	52	2	no	—
1644	C₂×C₄	—	52	2	no	—
1645	C₂×C₄	—	52	2	no	—
1646	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1647	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1648	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1649	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1650	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1651	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1652	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1653	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1654	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1655	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1656	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1657	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1658	C₈	—	13	2	no	—
1659	C₈	—	26	1	no	—
1660	C₈	—	26	1	no	—
1661	C₈	—	26	1	no	—
1662	C₈	—	26	1	no	—
1663	C₈	—	26	1	no	—
1664	C₈	—	26	1	no	—
1665	C₈	—	26	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	2	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	4	1	no	—
1678	C₂²	—	4	1	no	—
1679	C₂²	—	4	1	no	—
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	8	4	no	—
1684	C₂²	—	8	4	no	—
1685	C₂²	—	52	1	no	—
1686	C₂²	—	52	1	no	—
1687	C₂²	—	52	1	no	—
1688	C₂²	#11719527	1	2	yes	—
1689	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	26	2	no	—
1706	C₄	—	52	1	no	—
1707	C₄	—	52	1	no	—
1708	C₄	—	52	1	no	—
1709	C₄	—	52	1	no	—
1710	C₄	—	52	1	no	—
1711	C₄	—	52	1	no	—
1712	C₄	#11719541	1	2	yes	—
1713	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1714	C₄	#11719648	1	1	yes	characteristic
1715	C₂	—	2	2	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	4	2	no	—
1719	C₂	—	8	1	no	—
1720	C₂	—	8	1	no	—
1721	C₂	—	104	1	no	—
1722	C₂	#41×C₂²⋊D₁₃	1	1	yes	characteristic
1723	C₂	C₂×#11719527	1	1	yes	characteristic
1724	C₂	C₂×#11719541	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3481	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3481	D₁₃
hypocenter	C₁₃	#61445
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #3481

Complements

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

N	H ≅ G/N	type
1. #13128451	C₂	semidirect
2. #13127896	C₂	semidirect
3. #13127781	C₂	semidirect
4. #13127663	C₂	semidirect
5. #13127598	C₂	semidirect
6. #13127390	C₂	semidirect
7. #13127300	C₂	semidirect
8. #13127285	C₂	semidirect
9. #13127083	C₂	semidirect
10. #13127052	C₂	semidirect
11. #13127001	C₂	semidirect
12. #13126941	C₂	semidirect
13. #13126857	C₂	semidirect
14. #13126797	C₂	semidirect
15. #13126463	C₂	semidirect
16. #13126342	C₂	semidirect
17. #13126327	C₂	semidirect
18. #13125443	C₂	semidirect
19. #13125425	C₂	semidirect
20. #13125400	C₂	semidirect
21. #13124912	C₂	semidirect
22. #13124883	C₂	semidirect
23. #13124863	C₂	semidirect
24. #13124854	C₂	semidirect
25. #13124848	C₂	semidirect
26. #13124844	C₂	semidirect
27. #13123803	C₂	semidirect
28. C₄×#88205	C₂	semidirect
29. C₄×#88186	C₂	semidirect
30. C₂×C₄×#6105	C₂	semidirect
31. C₁₃×#3481	C₂	semidirect
59. #11719289	C₂²	semidirect
61. #11719272	C₂²	semidirect
62. #11719260	C₂²	semidirect
64. #11719257	C₂²	semidirect
66. #11719246	C₂²	semidirect
69. D₄×Dic₂₆	C₂²	semidirect
74. #11719184	C₂²	semidirect
75. #11719184	C₂²	semidirect
76. C₄×#6127	C₂²	semidirect
77. #11719175	C₂²	semidirect
78. C₂×C₄×Dic₂₆	C₂²	semidirect
79. C₂×C₄×Dic₂₆	C₂²	semidirect
89. #11718755	C₂²	semidirect
90. #11718755	C₂²	semidirect
91. #11718750	C₂²	semidirect
92. #11718741	C₂²	semidirect
97. #11718730	C₂²	semidirect
98. #11718729	C₂²	semidirect
99. #11718727	C₂²	semidirect
100. #11718726	C₂²	semidirect
101. #11718725	C₂²	semidirect
102. #11718724	C₂²	semidirect
103. #11718724	C₂²	semidirect
104. #11718724	C₂²	semidirect
105. #11718721	C₂²	semidirect
106. #11718720	C₂²	semidirect
107. #11718718	C₂²	semidirect
108. #11718717	C₂²	semidirect
109. #11718716	C₂²	semidirect
110. #11718715	C₂²	semidirect
111. #11718715	C₂²	semidirect
112. #11718715	C₂²	semidirect
113. #11718713	C₂²	semidirect
114. #11718713	C₂²	semidirect
115. #11718712	C₂²	semidirect
116. #11718711	C₂²	semidirect
117. #11718709	C₂²	semidirect
118. #11718708	C₂²	semidirect
119. #11718706	C₂²	semidirect
120. #11718704	C₂²	semidirect
123. #11718703	C₂²	semidirect
124. #11718703	C₂²	semidirect
127. #11718701	C₂²	semidirect
128. #11718701	C₂²	semidirect
129. #11718700	C₂²	semidirect
130. #11718700	C₂²	semidirect
134. #11718695	C₂²	semidirect
135. #11718695	C₂²	semidirect
137. #11718691	C₂²	semidirect
138. #11718691	C₂²	semidirect
139. C₄×#6107	C₂²	semidirect
140. C₄×#6107	C₂²	semidirect
141. C₄×#6107	C₂²	semidirect
142. #11718689	C₂²	semidirect
143. C₄×#6106	C₂²	semidirect
144. #11718685	C₂²	semidirect
145. #11718685	C₂²	semidirect
146. #11718683	C₂²	semidirect
148. #11718680	C₂²	semidirect
152. #11718679	C₂²	semidirect
158. C₄×#6105	C₂²	semidirect
159. C₄×#6105	C₂²	semidirect
160. C₄×#6105	C₂²	semidirect
161. C₄×#6105	C₂²	semidirect
162. C₄×#6105	C₂²	semidirect
163. C₄×#6105	C₂²	semidirect
164. C₄×#6105	C₂²	semidirect
165. C₄×#6105	C₂²	semidirect
168. #11718677	C₂²	semidirect
170. #11718675	C₂²	semidirect
172. C₄×#6104	C₂²	semidirect
173. C₄×#6104	C₂²	semidirect
174. #11718673	C₂²	semidirect
175. #11718673	C₂²	semidirect
178. #11718672	C₂²	semidirect
179. #11718672	C₂²	semidirect
182. #11718670	C₂²	semidirect
184. #11718669	C₂²	semidirect
185. #11718665	C₂²	semidirect
186. #11718664	C₂²	semidirect
187. #11718657	C₂²	semidirect
188. #11718656	C₂²	semidirect
189. #11718632	C₂²	semidirect
190. #11718632	C₂²	semidirect
191. #11718631	C₂²	semidirect
192. C₂×#88050	C₂²	semidirect
193. #11718629	C₂²	semidirect
194. #11718627	C₂²	semidirect
195. #11718625	C₂²	semidirect
196. C₂×#88048	C₂²	semidirect
197. #11718586	C₂²	semidirect
198. #11718586	C₂²	semidirect
199. #11718586	C₂²	semidirect
200. C₄×#6099	C₂²	semidirect
201. C₄×#6099	C₂²	semidirect
202. C₂×C₄×#1055	C₂²	semidirect
633. #6105	#41	semidirect
694. #3481	D₁₃	semidirect
1554. C₁₃	#61445	semidirect

Maximal subgroups

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

subgroup	index
#13128451	2
#13127896	2
#13127781	2
#13127663	2
#13127598	2
#13127390	2
#13127300	2
#13127285	2
#13127083	2
#13127052	2
#13127001	2
#13126941	2
#13126857	2
#13126797	2
#13126463	2
#13126342	2
#13126327	2
#13125443	2
#13125425	2
#13125400	2
#13124912	2
#13124883	2
#13124863	2
#13124854	2
#13124848	2
#13124844	2
#13123803	2
C₄×#88205	2
C₄×#88186	2
C₂×C₄×#6105	2
C₁₃×#3481	2
#61445	13