Subgroups — #16758256

Order 3328.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129210	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127911	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127856	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127678	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127565	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127168	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127031	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126926	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126911	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126851	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126836	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126498	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126468	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126422	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126392	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126347	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126332	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126292	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126256	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126198	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125924	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125902	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125869	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125098	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125065	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124958	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124375	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124357	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124308	C₂	1	1	yes	maximal, characteristic, complemented
30	#13124006	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3516	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#556	—	2	1	no	—
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#554	—	2	1	no	—
36	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#553	—	2	1	no	—
38	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#552	—	2	1	no	—
40	C₁₃×#552	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#548	C₂²	1	1	yes	characteristic
43	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#541	—	2	1	no	—
47	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#529	—	2	1	no	—
49	C₁₃×#529	—	2	1	no	—
50	C₁₃×#529	C₂²	1	1	yes	characteristic
51	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88203	C₂²	1	1	yes	characteristic
57	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#6106	C₂²	1	1	yes	characteristic
61	#11719409	—	2	1	no	—
62	#11719409	—	2	1	no	—
63	#11719400	—	2	1	no	—
64	#11719381	—	2	1	no	—
65	#11719371	—	2	1	no	—
66	#11719371	—	2	1	no	—
67	#11719334	—	2	1	no	—
68	#11719312	—	2	1	no	—
69	#11719289	C₂²	1	1	yes	characteristic
70	#11719282	C₂²	1	1	yes	characteristic
71	#11719258	C₂²	1	1	yes	characteristic
72	#11719258	C₂²	1	1	yes	characteristic
73	#11719256	C₂²	1	1	yes	characteristic
74	#11719255	C₂²	1	1	yes	characteristic
75	#11719255	C₂²	1	1	yes	characteristic
76	D₄×D₅₂	C₂²	1	1	yes	characteristic
77	#11719239	C₂²	1	1	yes	characteristic
78	#11719239	C₂²	1	1	yes	characteristic
79	#11719230	C₂²	1	1	yes	characteristic
80	#11719230	C₂²	1	1	yes	characteristic
81	#11719182	C₂²	1	1	yes	characteristic
82	#11719182	C₂²	1	1	yes	characteristic
83	#11718900	C₂²	1	1	yes	characteristic, complemented
84	#11718899	C₂²	1	1	yes	characteristic
85	#11718889	C₂²	1	1	yes	characteristic, complemented
86	#11718888	C₂²	1	1	yes	characteristic
87	#11718888	C₂²	1	1	yes	characteristic
88	#11718888	C₂²	1	1	yes	characteristic, complemented
89	#11718752	C₂²	1	1	yes	characteristic, complemented
90	#11718751	C₂²	1	1	yes	characteristic, complemented
91	#11718750	C₂²	1	1	yes	characteristic
92	#11718749	C₂²	1	1	yes	characteristic, complemented
93	#11718748	C₂²	1	1	yes	characteristic, complemented
94	#11718747	C₂²	1	1	yes	characteristic
95	#11718746	C₂²	1	1	yes	characteristic, complemented
96	#11718744	C₂²	1	1	yes	characteristic, complemented
97	#11718730	C₂²	1	1	yes	characteristic, complemented
98	#11718729	C₂²	1	1	yes	characteristic
99	#11718728	C₂²	1	1	yes	characteristic
100	#11718728	C₂²	1	1	yes	characteristic, complemented
101	#11718727	C₂²	1	1	yes	characteristic
102	#11718727	C₂²	1	1	yes	characteristic, complemented
103	#11718727	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
107	#11718719	C₂²	1	1	yes	characteristic
108	#11718719	C₂²	1	1	yes	characteristic, complemented
109	#11718718	C₂²	1	1	yes	characteristic
110	#11718718	C₂²	1	1	yes	characteristic, complemented
111	#11718718	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718713	C₂²	1	1	yes	characteristic, complemented
114	#11718712	C₂²	1	1	yes	characteristic, complemented
115	#11718712	C₂²	1	1	yes	characteristic, complemented
116	#11718710	C₂²	1	1	yes	characteristic
117	#11718710	C₂²	1	1	yes	characteristic
118	#11718710	C₂²	1	1	yes	characteristic
119	#11718710	C₂²	1	1	yes	characteristic, complemented
120	#11718709	C₂²	1	1	yes	characteristic
121	#11718708	C₂²	1	1	yes	characteristic, complemented
122	#11718708	C₂²	1	1	yes	characteristic, complemented
123	#11718708	C₂²	1	1	yes	characteristic, complemented
124	#11718708	C₂²	1	1	yes	characteristic, complemented
125	#11718708	C₂²	1	1	yes	characteristic, complemented
126	#11718707	C₂²	1	1	yes	characteristic
127	#11718707	C₂²	1	1	yes	characteristic
128	#11718707	C₂²	1	1	yes	characteristic
129	#11718703	C₂²	1	1	yes	characteristic, complemented
130	#11718700	C₂²	1	1	yes	characteristic
131	#11718700	C₂²	1	1	yes	characteristic, complemented
132	#11718699	C₂²	1	1	yes	characteristic
133	#11718698	C₂²	1	1	yes	characteristic, complemented
134	#11718698	C₂²	1	1	yes	characteristic, complemented
135	#11718698	C₂²	1	1	yes	characteristic, complemented
136	#11718697	C₂²	1	1	yes	characteristic
137	#11718692	C₂²	1	1	yes	characteristic, complemented
138	#11718692	C₂²	1	1	yes	characteristic, complemented
139	#11718691	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
143	#11718689	C₂²	1	1	yes	characteristic
144	#11718689	C₂²	1	1	yes	characteristic
145	#11718689	C₂²	1	1	yes	characteristic, complemented
146	#11718689	C₂²	1	1	yes	characteristic, complemented
147	#11718689	C₂²	1	1	yes	characteristic, complemented
148	#11718689	C₂²	1	1	yes	characteristic, complemented
149	#11718689	C₂²	1	1	yes	characteristic, complemented
150	#11718689	C₂²	1	1	yes	characteristic, complemented
151	#11718688	C₂²	1	1	yes	characteristic
152	#11718688	C₂²	1	1	yes	characteristic
153	#11718688	C₂²	1	1	yes	characteristic
154	#11718688	C₂²	1	1	yes	characteristic
155	#11718688	C₂²	1	1	yes	characteristic
156	#11718688	C₂²	1	1	yes	characteristic, complemented
157	#11718688	C₂²	1	1	yes	characteristic, complemented
158	#11718688	C₂²	1	1	yes	characteristic, complemented
159	#11718687	C₂²	1	1	yes	characteristic
160	#11718687	C₂²	1	1	yes	characteristic
161	#11718687	C₂²	1	1	yes	characteristic, complemented
162	#11718687	C₂²	1	1	yes	characteristic, complemented
163	#11718687	C₂²	1	1	yes	characteristic, complemented
164	#11718687	C₂²	1	1	yes	characteristic, complemented
165	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
166	#11718685	C₂²	1	1	yes	characteristic, complemented
167	#11718685	C₂²	1	1	yes	characteristic, complemented
168	#11718682	C₂²	1	1	yes	characteristic, complemented
169	#11718682	C₂²	1	1	yes	characteristic, complemented
170	#11718681	C₂²	1	1	yes	characteristic, complemented
171	#11718679	C₂²	1	1	yes	characteristic, complemented
172	#11718677	C₂²	1	1	yes	characteristic
173	#11718677	C₂²	1	1	yes	characteristic, complemented
174	#11718677	C₂²	1	1	yes	characteristic, complemented
175	#11718676	C₂²	1	1	yes	characteristic
176	#11718676	C₂²	1	1	yes	characteristic, complemented
177	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
178	#11718673	C₂²	1	1	yes	characteristic, complemented
179	#11718673	C₂²	1	1	yes	characteristic, complemented
180	#11718672	C₂²	1	1	yes	characteristic
181	#11718672	C₂²	1	1	yes	characteristic
182	#11718672	C₂²	1	1	yes	characteristic, complemented
183	#11718672	C₂²	1	1	yes	characteristic, complemented
184	#11718668	C₂²	1	1	yes	characteristic, complemented
185	#11718664	C₂²	1	1	yes	characteristic
186	#11718663	C₂²	1	1	yes	characteristic, complemented
187	#11718662	C₂²	1	1	yes	characteristic
188	#11718661	C₂²	1	1	yes	characteristic, complemented
189	#11718661	C₂²	1	1	yes	characteristic, complemented
190	#11718660	C₂²	1	1	yes	characteristic, complemented
191	#11718660	C₂²	1	1	yes	characteristic, complemented
192	#11718657	C₂²	1	1	yes	characteristic, complemented
193	#11718631	C₂²	1	1	yes	characteristic, complemented
194	#11718628	C₂²	1	1	yes	characteristic
195	#11718628	C₂²	1	1	yes	characteristic
196	#11718628	C₂²	1	1	yes	characteristic, complemented
197	#11718627	C₂²	1	1	yes	characteristic, complemented
198	#11718627	C₂²	1	1	yes	characteristic, complemented
199	#11718627	C₂²	1	1	yes	characteristic, complemented
200	C₂×#88049	C₂²	1	1	yes	characteristic
201	#11718587	C₂²	1	1	yes	characteristic, complemented
202	#11718585	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	C₂×#6131	—	2	1	no	—
207	C₂×D₄×D₁₃	—	2	1	no	—
208	C₂×#6127	—	2	1	no	—
209	C₂×#6127	C₂³	1	1	yes	characteristic
210	C₂×#6127	C₂³	1	1	yes	characteristic
211	C₂×#6127	C₂³	1	1	yes	characteristic
212	C₂×#6127	C₂³	1	1	yes	characteristic
213	C₂²×D₅₂	C₂³	1	1	yes	characteristic
214	C₂²×D₅₂	C₂³	1	1	yes	characteristic
215	C₁₃×C₄⋊Q₈	—	2	1	no	—
216	C₁₃×C₄⋊Q₈	—	2	1	no	—
217	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#126	—	2	1	no	—
221	C₁₃×#126	—	2	1	no	—
222	C₁₃×#126	—	2	1	no	—
223	C₁₃×#126	—	2	1	no	—
224	C₁₃×#126	—	2	1	no	—
225	C₁₃×#126	—	2	1	no	—
226	C₁₃×#126	—	2	1	no	—
227	C₁₃×#126	D₄	1	1	yes	characteristic
228	C₁₃×#126	D₄	1	1	yes	characteristic
229	C₁₃×#125	—	2	1	no	—
230	C₁₃×#125	—	2	1	no	—
231	C₁₃×#125	—	2	1	no	—
232	C₁₃×#125	—	2	1	no	—
233	C₁₃×#125	—	2	1	no	—
234	C₁₃×#125	—	2	1	no	—
235	C₁₃×#125	D₄	1	1	yes	characteristic
236	C₁₃×#125	C₂³	1	1	yes	characteristic
237	C₁₃×#125	C₂³	1	1	yes	characteristic
238	C₁₃×#124	—	2	1	no	—
239	C₁₃×#124	—	2	1	no	—
240	C₁₃×#124	—	2	1	no	—
241	C₁₃×#124	D₄	1	1	yes	characteristic
242	C₁₃×#124	C₂³	1	1	yes	characteristic
243	C₁₃×#124	C₂³	1	1	yes	characteristic
244	C₁₃×#123	—	2	1	no	—
245	C₁₃×#123	—	2	1	no	—
246	C₁₃×#123	—	2	1	no	—
247	C₁₃×#123	—	2	1	no	—
248	C₁₃×#123	D₄	1	1	yes	characteristic
249	C₁₃×#123	D₄	1	1	yes	characteristic
250	C₁₃×C₂²⋊Q₈	—	2	1	no	—
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	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	—	2	1	no	—
256	C₁₃×C₂²⋊Q₈	—	2	1	no	—
257	C₁₃×C₂²⋊Q₈	—	2	1	no	—
258	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
259	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
260	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
263	C₁₃×#121	—	2	1	no	—
264	C₁₃×#121	—	2	1	no	—
265	C₁₃×#121	—	2	1	no	—
266	C₁₃×#121	D₄	1	1	yes	characteristic
267	C₁₃×#121	C₂³	1	1	yes	characteristic
268	C₁₃×#121	C₂³	1	1	yes	characteristic
269	C₄×Q₈×C₁₃	—	2	1	no	—
270	C₄×Q₈×C₁₃	—	2	1	no	—
271	C₄×Q₈×C₁₃	—	2	1	no	—
272	C₄×Q₈×C₁₃	—	2	1	no	—
273	C₄×Q₈×C₁₃	—	2	1	no	—
274	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
275	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
276	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
277	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
282	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
283	C₄×D₄×C₁₃	—	2	1	no	—
284	C₄×D₄×C₁₃	—	2	1	no	—
285	C₄×D₄×C₁₃	—	2	1	no	—
286	C₄×D₄×C₁₃	—	2	1	no	—
287	C₄×D₄×C₁₃	—	2	1	no	—
288	C₄×D₄×C₁₃	—	2	1	no	—
289	C₄×D₄×C₁₃	—	2	1	no	—
290	C₄×D₄×C₁₃	—	2	1	no	—
291	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
295	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
296	C₁₃×#117	—	2	1	no	—
297	C₁₃×#117	—	2	1	no	—
298	C₁₃×#117	—	2	1	no	—
299	C₁₃×#117	—	2	1	no	—
300	C₁₃×#117	—	2	1	no	—
301	C₁₃×#117	—	2	1	no	—
302	C₁₃×#117	C₂³	1	1	yes	characteristic
303	C₁₃×#117	C₂³	1	1	yes	characteristic
304	C₁₃×#117	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
306	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₁₃	—	2	1	no	—
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	#88204	—	4	2	no	—
312	#88203	—	4	2	no	—
313	#88200	—	2	1	no	—
314	C₂×#6107	C₂³	1	1	yes	characteristic
315	C₂×#6107	C₂³	1	1	yes	characteristic
316	C₂×#6107	C₂³	1	1	yes	characteristic
317	C₂×#6107	C₂³	1	1	yes	characteristic
318	C₂×#6107	C₂³	1	1	yes	characteristic
319	C₂×#6107	C₂³	1	1	yes	characteristic
320	#88196	—	4	2	no	—
321	#88196	—	4	2	no	—
322	#88196	—	4	2	no	—
323	C₂×#6106	—	4	2	no	—
324	C₂×#6106	C₂³	1	1	yes	characteristic
325	C₂×#6106	C₂³	1	1	yes	characteristic
326	C₂×#6106	C₂³	1	1	yes	characteristic
327	C₂×#6106	C₂³	1	1	yes	characteristic
328	C₂×#6106	C₂³	1	1	yes	characteristic
329	C₂×#6106	C₂³	1	1	yes	characteristic
330	C₂×#6106	C₂³	1	1	yes	characteristic
331	C₂×#6106	C₂³	1	1	yes	characteristic
332	C₂×#6106	C₂³	1	1	yes	characteristic
333	C₂×#6106	C₂³	1	1	yes	characteristic
334	C₂×#6106	C₂³	1	1	yes	characteristic
335	C₂×#6106	C₂³	1	1	yes	characteristic
336	#88194	—	2	1	no	—
337	#88194	—	2	1	no	—
338	#88192	—	2	1	no	—
339	#88191	—	2	1	no	—
340	#88191	—	2	1	no	—
341	C₂×#6105	C₂³	1	1	yes	characteristic
342	C₂×#6105	C₂³	1	1	yes	characteristic
343	C₂×#6104	C₂³	1	1	yes	characteristic
344	C₂×#6104	C₂³	1	1	yes	characteristic
345	C₂×#6104	C₂³	1	1	yes	characteristic
346	C₂×#6104	C₂³	1	1	yes	characteristic
347	#88184	—	2	1	no	—
348	#88184	—	2	1	no	—
349	#88184	—	2	1	no	—
350	#88184	C₂³	1	1	yes	characteristic
351	#88184	C₂³	1	1	yes	characteristic
352	#88184	C₂³	1	1	yes	characteristic
353	#88184	C₂³	1	1	yes	characteristic
354	#88178	C₂³	1	1	yes	characteristic
355	#88178	C₂³	1	1	yes	characteristic
356	C₂×#6099	C₂³	1	1	yes	characteristic
357	C₂×#6099	C₂³	1	1	yes	characteristic
358	C₂×#6099	C₂³	1	1	yes	characteristic
359	C₂×#6099	C₂³	1	1	yes	characteristic
360	C₂²×#1055	C₂³	1	1	yes	characteristic
361	C₂²×#1055	C₂³	1	1	yes	characteristic
362	#88152	—	2	1	no	—
363	#88152	—	2	1	no	—
364	#88152	—	2	1	no	—
365	#88152	—	2	1	no	—
366	#88150	—	2	1	no	—
367	#88150	—	2	1	no	—
368	#88149	—	2	1	no	—
369	#88149	—	2	1	no	—
370	#88149	—	2	1	no	—
371	#88149	—	2	1	no	—
372	#88149	—	2	1	no	—
373	#88149	—	2	1	no	—
374	#88149	—	2	1	no	—
375	#88149	—	2	1	no	—
376	#88148	—	2	1	no	—
377	#88148	—	2	1	no	—
378	#88147	—	2	1	no	—
379	#88147	—	2	1	no	—
380	#88146	—	2	1	no	—
381	C₄⋊C₄×D₁₃	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88138	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88137	—	2	1	no	—
393	#88137	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88136	—	2	1	no	—
396	#88136	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88136	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	#88129	—	2	1	no	—
403	#88129	C₂³	1	1	yes	characteristic
404	#88129	C₂³	1	1	yes	characteristic
405	#88129	C₂³	1	1	yes	characteristic
406	#88129	C₂³	1	1	yes	characteristic
407	#88128	C₂³	1	1	yes	characteristic
408	#88128	C₂³	1	1	yes	characteristic
409	#88128	C₂³	1	1	yes	characteristic
410	#88128	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	—	2	1	no	—
412	C₄×D₅₂	—	2	1	no	—
413	C₄×D₅₂	—	2	1	no	—
414	C₄×D₅₂	C₂³	1	1	yes	characteristic
415	C₄×D₅₂	C₂³	1	1	yes	characteristic
416	C₄×D₅₂	C₂³	1	1	yes	characteristic
417	C₄×D₅₂	C₂³	1	1	yes	characteristic
418	#88123	C₂³	1	1	yes	characteristic
419	#88123	C₂³	1	1	yes	characteristic
420	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	#88075	C₂³	1	1	yes	characteristic
423	#88075	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88075	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88072	C₂³	1	1	yes	characteristic
429	#88072	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	C₂²⋊#1055	C₂³	1	1	yes	characteristic
434	C₂²⋊#1055	C₂³	1	1	yes	characteristic
435	C₂²⋊#1055	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	#88049	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	#88049	C₂³	1	1	yes	characteristic
450	#88049	C₂³	1	1	yes	characteristic
451	#88049	C₂³	1	1	yes	characteristic
452	#88049	C₂³	1	1	yes	characteristic
453	#88049	C₂³	1	1	yes	characteristic
454	#88049	C₂³	1	1	yes	characteristic
455	#88049	C₂³	1	1	yes	characteristic
456	#88049	C₂³	1	1	yes	characteristic
457	#88049	C₂³	1	1	yes	characteristic
458	#88049	C₂³	1	1	yes	characteristic
459	#88049	C₂³	1	1	yes	characteristic
460	#88048	C₂³	1	1	yes	characteristic
461	#88048	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	#88047	C₂³	1	1	yes	characteristic
466	#88047	C₂³	1	1	yes	characteristic
467	#88047	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	C₄⋊#1055	C₂³	1	1	yes	characteristic
472	C₄⋊#1055	C₂³	1	1	yes	characteristic
473	C₄⋊#1055	C₂³	1	1	yes	characteristic
474	C₄⋊#1055	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	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	#88043	C₂³	1	1	yes	characteristic
482	C₄×#1055	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#62085	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₁₃×#41	—	2	2	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	2	2	no	—
493	C₂×Q₈×C₁₃	—	2	2	no	—
494	C₂×Q₈×C₁₃	—	4	1	no	—
495	C₂×Q₈×C₁₃	—	4	1	no	—
496	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	#6131	—	8	2	no	—
528	D₄×D₁₃	—	8	2	no	—
529	#6127	—	4	1	no	—
530	#6127	—	4	1	no	—
531	#6127	—	4	1	no	—
532	#6127	—	4	1	no	—
533	#6127	—	4	1	no	—
534	#6127	—	4	1	no	—
535	#6127	—	4	1	no	—
536	#6127	—	4	1	no	—
537	#6127	—	8	2	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	—	2	1	no	—
540	C₂×D₅₂	—	2	1	no	—
541	C₂×D₅₂	—	2	1	no	—
542	C₂×D₅₂	—	2	1	no	—
543	C₂×D₅₂	—	2	1	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	—	2	1	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	—	4	1	no	—
549	C₂×D₅₂	—	4	1	no	—
550	C₂×D₅₂	—	4	1	no	—
551	C₂×D₅₂	—	4	1	no	—
552	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
553	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
554	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
555	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×Dic₂₆	—	2	1	no	—
565	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	—	2	1	no	—
576	C₁₃×C₄⋊C₄	—	2	1	no	—
577	C₁₃×C₄⋊C₄	—	2	1	no	—
578	C₁₃×C₄⋊C₄	—	2	1	no	—
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	—	2	1	no	—
608	C₁₃×C₂²⋊C₄	—	2	1	no	—
609	C₁₃×C₂²⋊C₄	—	2	1	no	—
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₄²×C₁₃	—	2	1	no	—
626	C₄²×C₁₃	—	2	1	no	—
627	C₄²×C₁₃	—	2	1	no	—
628	C₄²×C₁₃	—	2	1	no	—
629	C₄²×C₁₃	—	2	1	no	—
630	C₄²×C₁₃	—	2	1	no	—
631	C₄²×C₁₃	—	2	1	no	—
632	C₄²×C₁₃	—	2	1	no	—
633	C₄²×C₁₃	—	2	1	no	—
634	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
636	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
637	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
638	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
639	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	#6107	—	2	2	no	—
643	#6107	—	2	2	no	—
644	#6107	—	4	1	no	—
645	#6107	—	4	1	no	—
646	#6107	—	4	1	no	—
647	#6107	—	4	1	no	—
648	#6106	—	2	2	no	—
649	#6106	—	2	2	no	—
650	#6106	—	2	2	no	—
651	#6106	—	2	2	no	—
652	#6106	—	4	1	no	—
653	#6106	—	4	1	no	—
654	#6106	—	4	1	no	—
655	#6106	—	4	1	no	—
656	#6106	—	4	1	no	—
657	#6106	—	4	1	no	—
658	#6106	—	4	1	no	—
659	#6106	—	4	1	no	—
660	#6105	—	4	1	no	—
661	#6105	—	4	1	no	—
662	#6104	—	4	1	no	—
663	#6104	—	4	1	no	—
664	#6104	—	4	1	no	—
665	#6104	—	4	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	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	C₄⋊Dic₁₃	—	2	1	no	—
683	C₄⋊Dic₁₃	—	2	1	no	—
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
686	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	C₄×Dic₁₃	—	2	1	no	—
692	C₄×Dic₁₃	—	2	1	no	—
693	#6099	—	4	1	no	—
694	#6099	—	4	1	no	—
695	#6099	—	4	1	no	—
696	#6099	—	4	1	no	—
697	C₂×#1055	—	4	1	no	—
698	C₂×#1055	—	4	1	no	—
699	C₂×#1055	C₂⁴	1	1	yes	characteristic
700	C₂×#1055	C₂⁴	1	1	yes	characteristic
701	C₂×#1055	C₂⁴	1	1	yes	characteristic
702	C₂×#1055	C₂⁴	1	1	yes	characteristic
703	C₂×#1055	C₂⁴	1	1	yes	characteristic
704	C₂×#1055	C₂⁴	1	1	yes	characteristic
705	C₂×#1055	C₂⁴	1	1	yes	characteristic
706	C₂×#1055	C₂⁴	1	1	yes	characteristic
707	#3546	—	13	1	no	—
708	#3516	D₁₃	1	1	yes	characteristic, complemented
709	#3402	—	13	1	no	—
710	#3397	—	13	1	no	—
711	#3377	—	13	1	no	—
712	#3368	—	13	1	no	—
713	#3333	—	13	1	no	—
714	#3322	—	13	1	no	—
715	#3315	—	13	1	no	—
716	#3314	—	13	1	no	—
717	#3310	—	13	1	no	—
718	#3309	—	13	1	no	—
719	#3278	—	13	1	no	—
720	#3275	—	13	1	no	—
721	#3271	—	13	1	no	—
722	#3269	—	13	1	no	—
723	#3266	—	13	1	no	—
724	#3265	—	13	1	no	—
725	#3262	—	13	1	no	—
726	#3258	—	13	1	no	—
727	#3251	—	13	1	no	—
728	#3224	—	13	1	no	—
729	#3222	—	13	1	no	—
730	#3219	—	13	1	no	—
731	#3124	—	13	1	no	—
732	#3121	—	13	1	no	—
733	#3112	—	13	1	no	—
734	#3045	—	13	1	no	—
735	#3043	—	13	1	no	—
736	#3037	—	13	1	no	—
737	#2995	—	13	1	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
740	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
741	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
742	C₂²×D₁₃	—	2	1	no	—
743	C₂²×D₁₃	—	2	1	no	—
744	C₂²×D₁₃	—	2	1	no	—
745	C₂²×D₁₃	—	2	1	no	—
746	C₂²×D₁₃	—	8	1	no	—
747	C₂²×D₁₃	—	8	1	no	—
748	C₂²×D₁₃	—	8	1	no	—
749	C₂²×D₁₃	—	8	1	no	—
750	C₂²×D₁₃	—	8	1	no	—
751	C₂²×D₁₃	—	8	1	no	—
752	Q₈×C₁₃	—	2	1	no	—
753	Q₈×C₁₃	—	2	1	no	—
754	Q₈×C₁₃	—	2	1	no	—
755	Q₈×C₁₃	—	2	1	no	—
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	4	1	no	—
758	Q₈×C₁₃	—	4	2	no	—
759	Q₈×C₁₃	—	4	2	no	—
760	Q₈×C₁₃	—	8	1	no	—
761	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	4	1	no	—
765	D₄×C₁₃	—	4	1	no	—
766	D₄×C₁₃	—	4	1	no	—
767	D₄×C₁₃	—	4	2	no	—
768	D₄×C₁₃	—	4	2	no	—
769	D₄×C₁₃	—	8	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	4	1	no	—
784	C₂×C₄×C₁₃	—	4	1	no	—
785	C₂×C₄×C₁₃	—	4	2	no	—
786	C₂×C₄×C₁₃	—	4	2	no	—
787	C₂×C₄×C₁₃	—	4	2	no	—
788	C₂×C₄×C₁₃	—	8	1	no	—
789	C₂×C₄×C₁₃	—	8	1	no	—
790	C₂×C₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
804	C₂²⋊D₁₃	—	8	1	no	—
805	C₂²⋊D₁₃	—	8	1	no	—
806	C₂²⋊D₁₃	—	8	1	no	—
807	C₂²⋊D₁₃	—	8	1	no	—
808	C₂²⋊D₁₃	—	8	1	no	—
809	C₂²⋊D₁₃	—	8	1	no	—
810	C₂²⋊D₁₃	—	8	1	no	—
811	C₂²⋊D₁₃	—	8	1	no	—
812	C₂×Dic₁₃	—	2	1	no	—
813	C₂×Dic₁₃	—	2	1	no	—
814	C₂×Dic₁₃	—	2	1	no	—
815	C₂×Dic₁₃	—	2	1	no	—
816	D₅₂	—	2	1	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	2	1	no	—
820	D₅₂	—	2	1	no	—
821	D₅₂	—	2	1	no	—
822	D₅₂	—	2	1	no	—
823	D₅₂	—	2	1	no	—
824	D₅₂	—	4	2	no	—
825	D₅₂	—	8	1	no	—
826	D₅₂	—	8	1	no	—
827	D₅₂	—	8	1	no	—
828	D₅₂	—	8	1	no	—
829	D₅₂	—	8	1	no	—
830	D₅₂	—	8	1	no	—
831	D₅₂	—	8	1	no	—
832	D₅₂	—	8	1	no	—
833	D₅₂	—	8	1	no	—
834	C₄×D₁₃	—	4	2	no	—
835	C₄×D₁₃	—	4	2	no	—
836	C₄×D₁₃	—	8	1	no	—
837	C₄×D₁₃	—	8	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	C₄×D₁₃	—	8	1	no	—
840	C₄×D₁₃	—	8	1	no	—
841	C₄×D₁₃	—	8	1	no	—
842	Dic₂₆	—	2	1	no	—
843	Dic₂₆	—	2	1	no	—
844	Dic₂₆	—	2	1	no	—
845	Dic₂₆	—	2	1	no	—
846	Dic₂₆	—	8	1	no	—
847	#1055	—	2	1	no	—
848	#1055	—	2	1	no	—
849	#1055	—	2	1	no	—
850	#1055	—	2	1	no	—
851	#1055	—	2	1	no	—
852	#1055	—	2	1	no	—
853	#1055	—	2	1	no	—
854	#1055	—	2	1	no	—
855	C₂×#137	—	13	1	no	—
856	C₂×#137	—	13	1	no	—
857	C₂×#137	—	13	1	no	—
858	C₂×AGL(1,ℤ/8)	—	13	1	no	—
859	C₂×#135	—	13	1	no	—
860	C₂²×SD₁₆	—	13	1	no	—
861	#560	—	26	1	no	—
862	#560	—	26	1	no	—
863	#557	C₂×D₁₃	1	1	yes	characteristic, complemented
864	#556	—	2	1	no	—
865	#556	—	13	1	no	—
866	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
867	#554	—	2	1	no	—
868	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
869	#553	—	2	1	no	—
870	#553	—	26	1	no	—
871	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
872	#552	—	2	1	no	—
873	#552	C₂×D₁₃	1	1	yes	characteristic
874	#550	—	13	1	no	—
875	#550	—	13	1	no	—
876	#550	—	13	1	no	—
877	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
878	#548	C₂×D₁₃	1	1	yes	characteristic
879	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
880	#547	—	13	1	no	—
881	#546	—	13	1	no	—
882	#546	—	13	1	no	—
883	#546	—	26	1	no	—
884	D₄²	—	13	1	no	—
885	#542	—	2	1	no	—
886	#542	—	13	1	no	—
887	#542	—	13	1	no	—
888	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
889	#541	—	2	1	no	—
890	#541	C₂×D₁₃	1	1	yes	characteristic, complemented
891	#538	—	26	1	no	—
892	#538	—	26	1	no	—
893	#537	—	26	1	no	—
894	#535	—	13	1	no	—
895	#535	—	13	1	no	—
896	#535	—	26	1	no	—
897	#532	—	13	1	no	—
898	#532	—	13	1	no	—
899	#529	—	2	1	no	—
900	#529	—	2	1	no	—
901	#529	C₂×D₁₃	1	1	yes	characteristic
902	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
903	#520	C₂×D₁₃	1	1	yes	characteristic, complemented
904	#519	C₂×D₁₃	1	1	yes	characteristic, complemented
905	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
906	#497	—	13	1	no	—
907	#497	—	13	1	no	—
908	#496	—	13	1	no	—
909	#496	—	13	1	no	—
910	#495	—	13	1	no	—
911	#492	—	13	1	no	—
912	#491	—	13	1	no	—
913	#490	—	13	1	no	—
914	#490	—	13	1	no	—
915	#489	—	13	1	no	—
916	#488	—	13	1	no	—
917	#486	—	13	1	no	—
918	#485	—	13	1	no	—
919	#484	—	13	1	no	—
920	#482	—	13	1	no	—
921	#480	—	13	1	no	—
922	#480	—	13	1	no	—
923	#480	—	13	1	no	—
924	#479	—	13	1	no	—
925	#478	—	13	1	no	—
926	#478	—	13	1	no	—
927	#478	—	13	1	no	—
928	#477	—	13	1	no	—
929	#477	—	13	1	no	—
930	#477	—	13	1	no	—
931	#475	—	13	1	no	—
932	#474	—	13	1	no	—
933	#474	—	13	1	no	—
934	#470	—	13	1	no	—
935	#469	—	13	1	no	—
936	#469	—	13	1	no	—
937	#468	—	13	1	no	—
938	#468	—	13	1	no	—
939	#468	—	13	1	no	—
940	#468	—	13	1	no	—
941	#468	—	13	1	no	—
942	#467	—	13	1	no	—
943	#467	—	13	1	no	—
944	#466	—	13	1	no	—
945	#465	—	13	1	no	—
946	#464	—	13	1	no	—
947	#464	—	13	1	no	—
948	#464	—	13	1	no	—
949	#464	—	13	1	no	—
950	#464	—	13	1	no	—
951	#464	—	13	1	no	—
952	#464	—	13	1	no	—
953	#464	—	13	1	no	—
954	#464	—	13	1	no	—
955	#464	—	13	1	no	—
956	#463	—	13	1	no	—
957	#463	—	13	1	no	—
958	#463	—	13	1	no	—
959	#463	—	13	1	no	—
960	#463	—	13	1	no	—
961	#463	—	13	1	no	—
962	#462	—	13	1	no	—
963	#462	—	13	1	no	—
964	#462	—	13	1	no	—
965	#461	—	13	1	no	—
966	#460	—	13	1	no	—
967	#460	—	13	1	no	—
968	#460	—	13	1	no	—
969	#460	—	13	1	no	—
970	#460	—	13	1	no	—
971	#460	—	13	1	no	—
972	#460	—	13	1	no	—
973	#460	—	13	1	no	—
974	#459	—	13	1	no	—
975	#459	—	13	1	no	—
976	#452	—	13	1	no	—
977	#452	—	13	1	no	—
978	#452	—	13	1	no	—
979	#452	—	13	1	no	—
980	#452	—	13	1	no	—
981	#452	—	13	1	no	—
982	#451	—	13	1	no	—
983	#450	—	13	1	no	—
984	#450	—	13	1	no	—
985	#450	—	13	1	no	—
986	#449	—	13	1	no	—
987	#449	—	13	1	no	—
988	#449	—	13	1	no	—
989	#449	—	13	1	no	—
990	#448	—	13	1	no	—
991	#448	—	13	1	no	—
992	#448	—	13	1	no	—
993	#447	—	13	1	no	—
994	#446	—	13	1	no	—
995	#446	—	13	1	no	—
996	#441	—	13	1	no	—
997	#440	—	13	1	no	—
998	#440	—	13	1	no	—
999	#440	—	13	1	no	—
1000	#440	—	13	1	no	—
1001	#440	—	13	1	no	—
1002	#440	—	13	1	no	—
1003	#440	—	13	1	no	—
1004	C₄×Q₁₆	—	13	1	no	—
1005	C₄×Q₁₆	—	13	1	no	—
1006	C₄×SD₁₆	—	13	1	no	—
1007	C₄×D₈	—	13	1	no	—
1008	#436	—	13	1	no	—
1009	#436	—	13	1	no	—
1010	#435	—	13	1	no	—
1011	#435	—	13	1	no	—
1012	#435	—	13	1	no	—
1013	#435	—	13	1	no	—
1014	#433	—	13	1	no	—
1015	#433	—	13	1	no	—
1016	#432	—	13	1	no	—
1017	#424	—	13	1	no	—
1018	#424	—	13	1	no	—
1019	#423	—	13	1	no	—
1020	#418	—	13	1	no	—
1021	#417	—	13	1	no	—
1022	#417	—	13	1	no	—
1023	#417	—	13	1	no	—
1024	#416	—	13	1	no	—
1025	C₂×#102	—	13	1	no	—
1026	C₂²×C₁₃	—	2	1	no	—
1027	C₂²×C₁₃	—	2	1	no	—
1028	C₂²×C₁₃	—	2	1	no	—
1029	C₂²×C₁₃	—	2	1	no	—
1030	C₂²×C₁₃	—	2	1	no	—
1031	C₂²×C₁₃	—	2	1	no	—
1032	C₂²×C₁₃	—	2	1	no	—
1033	C₂²×C₁₃	—	2	1	no	—
1034	C₂²×C₁₃	—	2	1	no	—
1035	C₂²×C₁₃	—	4	1	no	—
1036	C₂²×C₁₃	—	4	1	no	—
1037	C₂²×C₁₃	—	4	1	no	—
1038	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1039	C₂×D₁₃	—	4	1	no	—
1040	C₂×D₁₃	—	4	1	no	—
1041	C₂×D₁₃	—	4	1	no	—
1042	C₂×D₁₃	—	4	1	no	—
1043	C₂×D₁₃	—	4	1	no	—
1044	C₂×D₁₃	—	4	1	no	—
1045	C₂×D₁₃	—	4	1	no	—
1046	C₂×D₁₃	—	4	1	no	—
1047	C₂×D₁₃	—	4	1	no	—
1048	C₂×D₁₃	—	4	1	no	—
1049	C₂×D₁₃	—	4	1	no	—
1050	C₂×D₁₃	—	4	1	no	—
1051	C₂×D₁₃	—	16	2	no	—
1052	C₂×D₁₃	—	16	2	no	—
1053	C₄×C₁₃	—	2	1	no	—
1054	C₄×C₁₃	—	2	1	no	—
1055	C₄×C₁₃	—	2	1	no	—
1056	C₄×C₁₃	—	2	1	no	—
1057	C₄×C₁₃	—	2	1	no	—
1058	C₄×C₁₃	—	2	1	no	—
1059	C₄×C₁₃	—	2	1	no	—
1060	C₄×C₁₃	—	2	1	no	—
1061	C₄×C₁₃	—	2	1	no	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	2	1	no	—
1064	C₄×C₁₃	—	2	2	no	—
1065	C₄×C₁₃	—	4	1	no	—
1066	C₄×C₁₃	—	4	1	no	—
1067	C₄×C₁₃	—	4	1	no	—
1068	C₄×C₁₃	—	4	1	no	—
1069	C₄×C₁₃	—	4	1	no	—
1070	C₄×C₁₃	—	4	1	no	—
1071	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1072	C₄×C₁₃	#585	1	1	yes	characteristic
1073	Dic₁₃	—	4	1	no	—
1074	Dic₁₃	—	4	1	no	—
1075	Dic₁₃	—	4	1	no	—
1076	Dic₁₃	—	4	1	no	—
1077	C₂×#41	—	13	1	no	—
1078	C₂×#41	—	13	1	no	—
1079	C₂×#41	—	13	1	no	—
1080	C₂×#41	—	13	1	no	—
1081	C₂×#41	—	26	1	no	—
1082	C₂×#41	—	26	1	no	—
1083	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1084	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1085	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1086	C₂²×D₄	—	13	1	no	—
1087	C₂²×D₄	—	13	1	no	—
1088	C₂²×D₄	—	26	1	no	—
1089	#137	—	52	2	no	—
1090	#137	—	52	2	no	—
1091	#137	—	52	2	no	—
1092	AGL(1,ℤ/8)	—	52	2	no	—
1093	#135	—	52	2	no	—
1094	C₂×Q₁₆	—	13	1	no	—
1095	C₂×Q₁₆	—	13	1	no	—
1096	C₂×Q₁₆	—	13	1	no	—
1097	C₂×Q₁₆	—	13	1	no	—
1098	C₂×Q₁₆	—	13	1	no	—
1099	C₂×Q₁₆	—	13	1	no	—
1100	C₂×SD₁₆	—	13	1	no	—
1101	C₂×SD₁₆	—	13	1	no	—
1102	C₂×SD₁₆	—	13	1	no	—
1103	C₂×SD₁₆	—	13	1	no	—
1104	C₂×SD₁₆	—	13	1	no	—
1105	C₂×SD₁₆	—	13	1	no	—
1106	C₂×SD₁₆	—	13	1	no	—
1107	C₂×SD₁₆	—	13	1	no	—
1108	C₂×SD₁₆	—	13	1	no	—
1109	C₂×SD₁₆	—	13	1	no	—
1110	C₂×SD₁₆	—	13	1	no	—
1111	C₂×SD₁₆	—	13	1	no	—
1112	C₂×SD₁₆	—	13	1	no	—
1113	C₂×SD₁₆	—	13	1	no	—
1114	C₂×SD₁₆	—	52	2	no	—
1115	C₂×D₈	—	13	1	no	—
1116	C₂×D₈	—	13	1	no	—
1117	C₂×D₈	—	13	1	no	—
1118	C₂×D₈	—	13	1	no	—
1119	C₂×M₁₆	—	13	1	no	—
1120	C₂×M₁₆	—	13	1	no	—
1121	C₂×M₁₆	—	13	1	no	—
1122	C₂×M₁₆	—	13	1	no	—
1123	C₂²×C₈	—	13	1	no	—
1124	C₂²×C₈	—	13	1	no	—
1125	C₄⋊Q₈	—	2	1	no	—
1126	C₄⋊Q₈	—	2	1	no	—
1127	C₄⋊Q₈	—	13	1	no	—
1128	C₄⋊Q₈	—	13	1	no	—
1129	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1130	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1131	#127	—	13	1	no	—
1132	#127	—	13	1	no	—
1133	#127	—	13	1	no	—
1134	#127	—	13	1	no	—
1135	#127	—	26	1	no	—
1136	#127	—	26	1	no	—
1137	#126	—	2	1	no	—
1138	#126	—	2	1	no	—
1139	#126	—	2	1	no	—
1140	#126	—	2	1	no	—
1141	#126	—	2	1	no	—
1142	#126	—	2	1	no	—
1143	#126	—	2	1	no	—
1144	#126	—	2	1	no	—
1145	#126	—	26	1	no	—
1146	#126	—	26	1	no	—
1147	#126	—	26	1	no	—
1148	#126	—	26	1	no	—
1149	#126	C₂²⋊D₁₃	1	1	yes	characteristic
1150	#126	C₂²⋊D₁₃	1	1	yes	characteristic
1151	#125	—	2	1	no	—
1152	#125	—	2	1	no	—
1153	#125	—	2	1	no	—
1154	#125	—	2	1	no	—
1155	#125	—	2	1	no	—
1156	#125	—	2	1	no	—
1157	#125	C₂²⋊D₁₃	1	1	yes	characteristic
1158	#125	C₂²×D₁₃	1	1	yes	characteristic
1159	#125	C₂²×D₁₃	1	1	yes	characteristic
1160	#124	—	2	1	no	—
1161	#124	—	2	1	no	—
1162	#124	—	2	1	no	—
1163	#124	—	13	1	no	—
1164	#124	—	13	1	no	—
1165	#124	—	13	1	no	—
1166	#124	—	13	1	no	—
1167	#124	—	26	1	no	—
1168	#124	—	26	1	no	—
1169	#124	—	26	1	no	—
1170	#124	C₂²⋊D₁₃	1	1	yes	characteristic
1171	#124	C₂²×D₁₃	1	1	yes	characteristic
1172	#124	C₂²×D₁₃	1	1	yes	characteristic
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	—	2	1	no	—
1176	#123	—	2	1	no	—
1177	#123	—	26	1	no	—
1178	#123	—	26	1	no	—
1179	#123	—	26	1	no	—
1180	#123	—	26	1	no	—
1181	#123	—	26	1	no	—
1182	#123	—	26	1	no	—
1183	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1184	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	13	1	no	—
1194	C₂²⋊Q₈	—	13	1	no	—
1195	C₂²⋊Q₈	—	26	1	no	—
1196	C₂²⋊Q₈	—	26	1	no	—
1197	C₂²⋊Q₈	—	26	1	no	—
1198	C₂²⋊Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1199	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1200	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1201	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1202	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1203	#121	—	2	1	no	—
1204	#121	—	2	1	no	—
1205	#121	—	2	1	no	—
1206	#121	—	13	1	no	—
1207	#121	—	13	1	no	—
1208	#121	—	13	1	no	—
1209	#121	—	13	1	no	—
1210	#121	—	26	1	no	—
1211	#121	—	26	1	no	—
1212	#121	—	26	1	no	—
1213	#121	—	26	1	no	—
1214	#121	—	26	1	no	—
1215	#121	—	26	1	no	—
1216	#121	—	26	1	no	—
1217	#121	—	26	1	no	—
1218	#121	—	26	1	no	—
1219	#121	—	26	1	no	—
1220	#121	—	26	1	no	—
1221	#121	—	26	1	no	—
1222	#121	—	26	1	no	—
1223	#121	—	26	1	no	—
1224	#121	—	26	1	no	—
1225	#121	—	26	1	no	—
1226	#121	—	26	1	no	—
1227	#121	—	26	1	no	—
1228	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1229	#121	C₂²×D₁₃	1	1	yes	characteristic
1230	#121	C₂²×D₁₃	1	1	yes	characteristic
1231	#120	—	26	1	no	—
1232	#120	—	26	1	no	—
1233	#120	—	26	1	no	—
1234	#120	—	26	1	no	—
1235	#120	—	26	1	no	—
1236	#120	—	26	1	no	—
1237	#120	—	26	1	no	—
1238	#120	—	26	1	no	—
1239	C₄×Q₈	—	2	1	no	—
1240	C₄×Q₈	—	2	1	no	—
1241	C₄×Q₈	—	2	1	no	—
1242	C₄×Q₈	—	2	1	no	—
1243	C₄×Q₈	—	2	1	no	—
1244	C₄×Q₈	—	13	1	no	—
1245	C₄×Q₈	—	13	1	no	—
1246	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1247	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1248	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1249	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1250	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1251	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1252	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1253	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1254	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1255	C₄×D₄	—	2	1	no	—
1256	C₄×D₄	—	2	1	no	—
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	—	2	1	no	—
1259	C₄×D₄	—	2	1	no	—
1260	C₄×D₄	—	2	1	no	—
1261	C₄×D₄	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	13	1	no	—
1266	C₄×D₄	—	13	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	—	26	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1273	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1274	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1275	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1277	#117	—	2	1	no	—
1278	#117	—	2	1	no	—
1279	#117	—	2	1	no	—
1280	#117	—	2	1	no	—
1281	#117	—	2	1	no	—
1282	#117	—	2	1	no	—
1283	#117	—	26	1	no	—
1284	#117	C₂²×D₁₃	1	1	yes	characteristic
1285	#117	C₂²×D₁₃	1	1	yes	characteristic
1286	#117	C₂²×D₁₃	1	1	yes	characteristic
1287	C₂×C₄⋊C₄	—	2	1	no	—
1288	C₂×C₄⋊C₄	—	2	1	no	—
1289	C₂×C₄⋊C₄	—	26	1	no	—
1290	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1291	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1292	C₂×C₂²⋊C₄	—	26	1	no	—
1293	C₂×C₂²⋊C₄	—	26	1	no	—
1294	C₂×C₄²	—	2	1	no	—
1295	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1296	#107	—	13	1	no	—
1297	#107	—	13	1	no	—
1298	#107	—	13	1	no	—
1299	#107	—	13	1	no	—
1300	#107	—	13	1	no	—
1301	#107	—	13	1	no	—
1302	#106	—	13	1	no	—
1303	#106	—	13	1	no	—
1304	C₄⋊C₈	—	13	1	no	—
1305	C₄⋊C₈	—	13	1	no	—
1306	C₄⋊C₈	—	13	1	no	—
1307	C₄⋊C₈	—	13	1	no	—
1308	C₄⋊C₈	—	13	1	no	—
1309	C₄⋊C₈	—	13	1	no	—
1310	C₄⋊C₈	—	13	1	no	—
1311	C₄⋊C₈	—	13	1	no	—
1312	C₄⋊C₈	—	13	1	no	—
1313	C₄⋊C₈	—	13	1	no	—
1314	#103	—	13	1	no	—
1315	#103	—	13	1	no	—
1316	#103	—	13	1	no	—
1317	#103	—	13	1	no	—
1318	#103	—	13	1	no	—
1319	#103	—	13	1	no	—
1320	#103	—	13	1	no	—
1321	#103	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	—	13	1	no	—
1326	#103	—	13	1	no	—
1327	#103	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	—	13	1	no	—
1336	#102	—	13	1	no	—
1337	#102	—	13	1	no	—
1338	#102	—	13	1	no	—
1339	#102	—	13	1	no	—
1340	#102	—	13	1	no	—
1341	#102	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	C₂²⋊C₈	—	13	1	no	—
1347	C₂²⋊C₈	—	13	1	no	—
1348	C₂²⋊C₈	—	13	1	no	—
1349	C₂²⋊C₈	—	13	1	no	—
1350	C₂²⋊C₈	—	13	1	no	—
1351	C₂²⋊C₈	—	13	1	no	—
1352	#97	—	13	1	no	—
1353	#97	—	13	1	no	—
1354	#97	—	13	1	no	—
1355	#97	—	13	1	no	—
1356	C₄×C₈	—	13	1	no	—
1357	C₄×C₈	—	13	1	no	—
1358	C₂×C₁₃	—	4	1	no	—
1359	C₂×C₁₃	—	4	1	no	—
1360	C₂×C₁₃	—	4	1	no	—
1361	C₂×C₁₃	—	8	1	no	—
1362	C₂×C₁₃	#3488	1	1	yes	characteristic
1363	C₂×C₁₃	#3585	1	1	yes	characteristic
1364	C₂×C₁₃	#3586	1	1	yes	characteristic
1365	D₁₃	—	8	1	no	—
1366	D₁₃	—	8	1	no	—
1367	D₁₃	—	8	1	no	—
1368	D₁₃	—	8	1	no	—
1369	C₂⁴	—	26	1	no	—
1370	C₂⁴	—	26	1	no	—
1371	#41	—	2	2	no	—
1372	#41	—	4	1	no	—
1373	#41	—	52	1	no	—
1374	#41	—	52	1	no	—
1375	#41	—	52	1	no	—
1376	#41	—	52	1	no	—
1377	#41	—	52	1	no	—
1378	#41	—	52	1	no	—
1379	#41	—	52	1	no	—
1380	#41	—	52	1	no	—
1381	#41	—	104	2	no	—
1382	#41	—	104	2	no	—
1383	C₂×Q₈	—	2	1	no	—
1384	C₂×Q₈	—	2	1	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	2	2	no	—
1387	C₂×Q₈	—	2	2	no	—
1388	C₂×Q₈	—	4	1	no	—
1389	C₂×Q₈	—	4	1	no	—
1390	C₂×Q₈	—	13	1	no	—
1391	C₂×Q₈	—	13	1	no	—
1392	C₂×Q₈	—	26	1	no	—
1393	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1394	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1395	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1396	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	13	1	no	—
1401	C₂×D₄	—	13	1	no	—
1402	C₂×D₄	—	13	1	no	—
1403	C₂×D₄	—	13	1	no	—
1404	C₂×D₄	—	26	1	no	—
1405	C₂×D₄	—	26	1	no	—
1406	C₂×D₄	—	26	1	no	—
1407	C₂×D₄	—	26	1	no	—
1408	C₂×D₄	—	26	1	no	—
1409	C₂×D₄	—	26	1	no	—
1410	C₂×D₄	—	26	1	no	—
1411	C₂×D₄	—	26	1	no	—
1412	C₂×D₄	—	26	1	no	—
1413	C₂×D₄	—	26	1	no	—
1414	C₂×D₄	—	26	1	no	—
1415	C₂×D₄	—	26	1	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	1	no	—
1419	C₂×D₄	—	26	1	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	52	1	no	—
1423	C₂×D₄	—	52	1	no	—
1424	C₂×D₄	—	52	1	no	—
1425	C₂×D₄	—	52	1	no	—
1426	C₂×D₄	—	104	2	no	—
1427	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1428	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1429	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1430	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	26	1	no	—
1439	C₂²×C₄	—	26	1	no	—
1440	C₂²×C₄	—	26	1	no	—
1441	C₂²×C₄	—	26	1	no	—
1442	C₂²×C₄	—	26	1	no	—
1443	C₂²×C₄	—	26	1	no	—
1444	C₂²×C₄	—	26	1	no	—
1445	C₂²×C₄	—	26	1	no	—
1446	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1447	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1448	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1449	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1450	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1451	Q₁₆	—	26	2	no	—
1452	Q₁₆	—	26	2	no	—
1453	Q₁₆	—	52	1	no	—
1454	Q₁₆	—	52	1	no	—
1455	Q₁₆	—	52	1	no	—
1456	Q₁₆	—	52	1	no	—
1457	SD₁₆	—	26	2	no	—
1458	SD₁₆	—	26	2	no	—
1459	SD₁₆	—	26	2	no	—
1460	SD₁₆	—	26	2	no	—
1461	SD₁₆	—	52	1	no	—
1462	SD₁₆	—	52	1	no	—
1463	SD₁₆	—	52	1	no	—
1464	SD₁₆	—	52	1	no	—
1465	SD₁₆	—	52	1	no	—
1466	SD₁₆	—	52	1	no	—
1467	SD₁₆	—	52	1	no	—
1468	SD₁₆	—	52	1	no	—
1469	SD₁₆	—	52	1	no	—
1470	SD₁₆	—	52	1	no	—
1471	D₈	—	52	1	no	—
1472	D₈	—	52	1	no	—
1473	D₈	—	52	1	no	—
1474	D₈	—	52	1	no	—
1475	M₁₆	—	52	1	no	—
1476	M₁₆	—	52	1	no	—
1477	M₁₆	—	52	1	no	—
1478	M₁₆	—	52	1	no	—
1479	C₂×C₈	—	13	1	no	—
1480	C₂×C₈	—	13	1	no	—
1481	C₂×C₈	—	13	1	no	—
1482	C₂×C₈	—	13	1	no	—
1483	C₂×C₈	—	13	1	no	—
1484	C₂×C₈	—	13	1	no	—
1485	C₂×C₈	—	13	1	no	—
1486	C₂×C₈	—	13	1	no	—
1487	C₂×C₈	—	52	1	no	—
1488	C₂×C₈	—	52	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	13	1	no	—
1511	C₄⋊C₄	—	13	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	—	26	1	no	—
1519	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1521	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1522	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1523	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1524	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1525	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1526	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1527	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1528	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1529	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1530	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1531	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1532	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1565	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1566	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1567	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1574	C₄²	—	2	1	no	—
1575	C₄²	—	2	1	no	—
1576	C₄²	—	2	1	no	—
1577	C₄²	—	2	1	no	—
1578	C₄²	—	2	1	no	—
1579	C₄²	—	2	1	no	—
1580	C₄²	—	2	1	no	—
1581	C₄²	—	2	1	no	—
1582	C₄²	—	2	1	no	—
1583	C₄²	—	26	1	no	—
1584	C₄²	—	26	1	no	—
1585	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1586	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1587	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1588	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1589	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1590	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1591	C₁₃	#62085	1	1	yes	characteristic, complemented, Sylow
1592	C₂³	—	2	1	no	—
1593	C₂³	—	26	1	no	—
1594	C₂³	—	26	1	no	—
1595	C₂³	—	26	1	no	—
1596	C₂³	—	26	1	no	—
1597	C₂³	—	104	1	no	—
1598	C₂³	—	104	1	no	—
1599	C₂³	—	104	1	no	—
1600	C₂³	—	104	1	no	—
1601	C₂³	—	104	1	no	—
1602	C₂³	—	104	1	no	—
1603	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1604	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1605	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1606	Q₈	—	2	1	no	—
1607	Q₈	—	2	1	no	—
1608	Q₈	—	2	1	no	—
1609	Q₈	—	2	1	no	—
1610	Q₈	—	2	1	no	—
1611	Q₈	—	4	1	no	—
1612	Q₈	—	4	2	no	—
1613	Q₈	—	4	2	no	—
1614	Q₈	—	8	1	no	—
1615	Q₈	—	26	1	no	—
1616	Q₈	—	26	1	no	—
1617	Q₈	—	26	1	no	—
1618	Q₈	—	26	1	no	—
1619	Q₈	—	104	1	no	—
1620	Q₈	#88256	1	2	yes	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	4	1	no	—
1624	D₄	—	4	1	no	—
1625	D₄	—	4	1	no	—
1626	D₄	—	4	2	no	—
1627	D₄	—	4	2	no	—
1628	D₄	—	8	1	no	—
1629	D₄	—	26	1	no	—
1630	D₄	—	26	1	no	—
1631	D₄	—	26	1	no	—
1632	D₄	—	26	1	no	—
1633	D₄	—	26	1	no	—
1634	D₄	—	26	1	no	—
1635	D₄	—	26	1	no	—
1636	D₄	—	26	1	no	—
1637	D₄	—	52	2	no	—
1638	D₄	—	104	1	no	—
1639	D₄	—	104	1	no	—
1640	D₄	—	104	1	no	—
1641	D₄	—	104	1	no	—
1642	D₄	—	104	1	no	—
1643	D₄	—	104	1	no	—
1644	D₄	—	104	1	no	—
1645	D₄	—	104	1	no	—
1646	D₄	—	104	1	no	—
1647	D₄	—	104	1	no	—
1648	D₄	—	104	1	no	—
1649	D₄	—	104	1	no	—
1650	D₄	—	104	1	no	—
1651	D₄	—	104	1	no	—
1652	D₄	—	104	1	no	—
1653	D₄	—	104	1	no	—
1654	D₄	—	104	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	4	1	no	—
1669	C₂×C₄	—	4	1	no	—
1670	C₂×C₄	—	4	2	no	—
1671	C₂×C₄	—	4	2	no	—
1672	C₂×C₄	—	4	2	no	—
1673	C₂×C₄	—	8	1	no	—
1674	C₂×C₄	—	8	1	no	—
1675	C₂×C₄	—	8	1	no	—
1676	C₂×C₄	—	8	1	no	—
1677	C₂×C₄	—	26	1	no	—
1678	C₂×C₄	—	26	1	no	—
1679	C₂×C₄	—	26	1	no	—
1680	C₂×C₄	—	26	1	no	—
1681	C₂×C₄	—	52	2	no	—
1682	C₂×C₄	—	52	2	no	—
1683	C₂×C₄	—	104	1	no	—
1684	C₂×C₄	—	104	1	no	—
1685	C₂×C₄	—	104	1	no	—
1686	C₂×C₄	—	104	1	no	—
1687	C₂×C₄	—	104	1	no	—
1688	C₂×C₄	—	104	1	no	—
1689	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1690	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1691	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1692	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1693	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1694	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1695	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1696	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1697	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1698	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1699	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1700	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1701	C₈	—	26	1	no	—
1702	C₈	—	26	1	no	—
1703	C₈	—	26	1	no	—
1704	C₈	—	26	1	no	—
1705	C₈	—	26	1	no	—
1706	C₈	—	26	1	no	—
1707	C₈	—	26	1	no	—
1708	C₈	—	26	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	52	1	no	—
1722	C₂²	—	52	1	no	—
1723	C₂²	—	52	1	no	—
1724	C₂²	—	52	1	no	—
1725	C₂²	—	52	1	no	—
1726	C₂²	—	52	1	no	—
1727	C₂²	—	52	1	no	—
1728	C₂²	—	52	1	no	—
1729	C₂²	—	52	1	no	—
1730	C₂²	—	52	1	no	—
1731	C₂²	—	52	1	no	—
1732	C₂²	—	52	1	no	—
1733	C₂²	—	208	2	no	—
1734	C₂²	—	208	2	no	—
1735	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1736	C₄	—	2	1	no	—
1737	C₄	—	2	1	no	—
1738	C₄	—	2	1	no	—
1739	C₄	—	2	2	no	—
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	4	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	52	1	no	—
1755	C₄	—	52	1	no	—
1756	C₄	—	52	1	no	—
1757	C₄	—	52	1	no	—
1758	C₄	C₂×#88256	1	1	yes	characteristic
1759	C₄	#11719648	1	1	yes	characteristic
1760	C₂	—	4	1	no	—
1761	C₂	—	4	1	no	—
1762	C₂	—	4	1	no	—
1763	C₂	—	8	1	no	—
1764	C₂	—	104	1	no	—
1765	C₂	—	104	1	no	—
1766	C₂	—	104	1	no	—
1767	C₂	—	104	1	no	—
1768	C₂	#13128505	1	1	yes	characteristic
1769	C₂	#13129615	1	1	yes	characteristic
1770	C₂	#13129623	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3516	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3516	D₁₃
hypocenter	C₁₃	#62085
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3516

Complements

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

N	H ≅ G/N	type
1. #13129210	C₂	semidirect
2. #13127911	C₂	semidirect
3. #13127856	C₂	semidirect
4. #13127678	C₂	semidirect
5. #13127565	C₂	semidirect
6. #13127168	C₂	semidirect
7. #13127031	C₂	semidirect
8. #13126926	C₂	semidirect
9. #13126911	C₂	semidirect
10. #13126851	C₂	semidirect
11. #13126836	C₂	semidirect
12. #13126498	C₂	semidirect
13. #13126468	C₂	semidirect
14. #13126422	C₂	semidirect
15. #13126392	C₂	semidirect
16. #13126347	C₂	semidirect
17. #13126332	C₂	semidirect
18. #13126292	C₂	semidirect
19. #13126256	C₂	semidirect
20. #13126198	C₂	semidirect
21. #13125924	C₂	semidirect
22. #13125902	C₂	semidirect
23. #13125869	C₂	semidirect
24. #13125098	C₂	semidirect
25. #13125065	C₂	semidirect
26. #13124958	C₂	semidirect
27. #13124375	C₂	semidirect
28. #13124357	C₂	semidirect
29. #13124308	C₂	semidirect
30. #13124006	C₂	semidirect
31. C₁₃×#3516	C₂	semidirect
32. C₁₃×#557	C₂²	semidirect
34. C₁₃×#556	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
38. C₁₃×#553	C₂²	semidirect
41. D₄×Q₈×C₁₃	C₂²	semidirect
43. C₁₃×#548	C₂²	semidirect
45. C₁₃×#542	C₂²	semidirect
47. C₁₃×#541	C₂²	semidirect
51. C₁₃×#529	C₂²	semidirect
52. C₁₃×#520	C₂²	semidirect
53. C₁₃×#519	C₂²	semidirect
54. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
55. C₂×#88204	C₂²	semidirect
57. C₂×#88196	C₂²	semidirect
58. C₂×#88196	C₂²	semidirect
59. C₂×#88196	C₂²	semidirect
83. #11718900	C₂²	semidirect
85. #11718889	C₂²	semidirect
88. #11718888	C₂²	semidirect
89. #11718752	C₂²	semidirect
90. #11718751	C₂²	semidirect
92. #11718749	C₂²	semidirect
93. #11718748	C₂²	semidirect
95. #11718746	C₂²	semidirect
96. #11718744	C₂²	semidirect
97. #11718730	C₂²	semidirect
100. #11718728	C₂²	semidirect
102. #11718727	C₂²	semidirect
103. #11718727	C₂²	semidirect
104. #11718724	C₂²	semidirect
105. #11718721	C₂²	semidirect
108. #11718719	C₂²	semidirect
110. #11718718	C₂²	semidirect
111. #11718718	C₂²	semidirect
112. #11718715	C₂²	semidirect
113. #11718713	C₂²	semidirect
114. #11718712	C₂²	semidirect
115. #11718712	C₂²	semidirect
119. #11718710	C₂²	semidirect
121. #11718708	C₂²	semidirect
122. #11718708	C₂²	semidirect
123. #11718708	C₂²	semidirect
124. #11718708	C₂²	semidirect
125. #11718708	C₂²	semidirect
129. #11718703	C₂²	semidirect
131. #11718700	C₂²	semidirect
133. #11718698	C₂²	semidirect
134. #11718698	C₂²	semidirect
135. #11718698	C₂²	semidirect
137. #11718692	C₂²	semidirect
138. #11718692	C₂²	semidirect
139. #11718691	C₂²	semidirect
140. C₄×#6107	C₂²	semidirect
141. C₄×#6107	C₂²	semidirect
145. #11718689	C₂²	semidirect
146. #11718689	C₂²	semidirect
147. #11718689	C₂²	semidirect
148. #11718689	C₂²	semidirect
149. #11718689	C₂²	semidirect
150. #11718689	C₂²	semidirect
156. #11718688	C₂²	semidirect
157. #11718688	C₂²	semidirect
158. #11718688	C₂²	semidirect
161. #11718687	C₂²	semidirect
162. #11718687	C₂²	semidirect
163. #11718687	C₂²	semidirect
164. #11718687	C₂²	semidirect
165. C₄×#6106	C₂²	semidirect
166. #11718685	C₂²	semidirect
167. #11718685	C₂²	semidirect
168. #11718682	C₂²	semidirect
169. #11718682	C₂²	semidirect
170. #11718681	C₂²	semidirect
171. #11718679	C₂²	semidirect
173. #11718677	C₂²	semidirect
174. #11718677	C₂²	semidirect
176. #11718676	C₂²	semidirect
177. C₄×#6104	C₂²	semidirect
178. #11718673	C₂²	semidirect
179. #11718673	C₂²	semidirect
182. #11718672	C₂²	semidirect
183. #11718672	C₂²	semidirect
184. #11718668	C₂²	semidirect
186. #11718663	C₂²	semidirect
188. #11718661	C₂²	semidirect
189. #11718661	C₂²	semidirect
190. #11718660	C₂²	semidirect
191. #11718660	C₂²	semidirect
192. #11718657	C₂²	semidirect
193. #11718631	C₂²	semidirect
196. #11718628	C₂²	semidirect
197. #11718627	C₂²	semidirect
198. #11718627	C₂²	semidirect
199. #11718627	C₂²	semidirect
201. #11718587	C₂²	semidirect
202. #11718585	C₂²	semidirect
708. #3516	D₁₃	semidirect
863. #557	C₂×D₁₃	semidirect
866. #556	C₂×D₁₃	semidirect
868. #554	C₂×D₁₃	semidirect
871. #553	C₂×D₁₃	semidirect
877. D₄×Q₈	C₂×D₁₃	semidirect
879. #548	C₂×D₁₃	semidirect
888. #542	C₂×D₁₃	semidirect
890. #541	C₂×D₁₃	semidirect
902. #529	C₂×D₁₃	semidirect
903. #520	C₂×D₁₃	semidirect
904. #519	C₂×D₁₃	semidirect
905. C₂×C₄×Q₈	C₂×D₁₃	semidirect
1591. C₁₃	#62085	semidirect

Maximal subgroups

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

subgroup	index
#13129210	2
#13127911	2
#13127856	2
#13127678	2
#13127565	2
#13127168	2
#13127031	2
#13126926	2
#13126911	2
#13126851	2
#13126836	2
#13126498	2
#13126468	2
#13126422	2
#13126392	2
#13126347	2
#13126332	2
#13126292	2
#13126256	2
#13126198	2
#13125924	2
#13125902	2
#13125869	2
#13125098	2
#13125065	2
#13124958	2
#13124375	2
#13124357	2
#13124308	2
#13124006	2
C₁₃×#3516	2
#62085	13