Finite Group Databasebeta

← #16749927

Subgroups — #16749927

Order 3328.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128598C211yesmaximal, characteristic, complemented
2#13127046C211yesmaximal, characteristic, complemented
3#13127031C211yesmaximal, characteristic, complemented
4#13126971C211yesmaximal, characteristic, complemented
5#13126926C211yesmaximal, characteristic, complemented
6#13126851C211yesmaximal, characteristic, complemented
7#13126806C211yesmaximal, characteristic, complemented
8#13126680C211yesmaximal, characteristic, complemented
9#13126665C211yesmaximal, characteristic, complemented
10#13126544C211yesmaximal, characteristic, complemented
11#13126517C211yesmaximal, characteristic, complemented
12#13126468C211yesmaximal, characteristic, complemented
13#13126443C211yesmaximal, characteristic, complemented
14#13126392C211yesmaximal, characteristic, complemented
15#13126357C211yesmaximal, characteristic, complemented
16#13126332C211yesmaximal, characteristic, complemented
17#13126317C211yesmaximal, characteristic, complemented
18#13125869C211yesmaximal, characteristic, complemented
19#13125808C211yesmaximal, characteristic, complemented
20#13125742C211yesmaximal, characteristic, complemented
21#13125733C211yesmaximal, characteristic, complemented
22#13125718C211yesmaximal, characteristic, complemented
23#13125688C211yesmaximal, characteristic, complemented
24#13124970C211yesmaximal, characteristic, complemented
25#13124879C211yesmaximal, characteristic, complemented
26#13124137C211yesmaximal, characteristic, complemented
27#13124137C211yesmaximal, characteristic, complemented
28#13124111C211yesmaximal, characteristic, complemented
29#13124102C211yesmaximal, characteristic, complemented
30#13123912C211yesmaximal, characteristic, complemented
31C13×#3551C211yesmaximal, characteristic, complemented
32C2×#88256C2211yescharacteristic
33C2×#88256C2211yescharacteristic, complemented
34C13×#563—21no—
35C13×#560—21no—
36C13×#555—21no—
37C13×#553C2211yescharacteristic, complemented
38C13×#553C2211yescharacteristic, complemented
39C13×#552C2211yescharacteristic, complemented
40C13×#552C2211yescharacteristic, complemented
41C13×#551—21no—
42C13×#548C2211yescharacteristic, complemented
43C13×#548C2211yescharacteristic, complemented
44C13×#546C2211yescharacteristic, complemented
45C13×#546C2211yescharacteristic, complemented
46C13×#540—21no—
47C13×#540—21no—
48C13×#538—21no—
49C13×#538—21no—
50C13×#537C2211yescharacteristic, complemented
51C13×#537C2211yescharacteristic, complemented
52C13×#536C2211yescharacteristic, complemented
53C13×#535C2211yescharacteristic, complemented
54C13×#532C2211yescharacteristic
55C13×#529C2211yescharacteristic, complemented
56C13×#529C2211yescharacteristic, complemented
57#11719538C2211yescharacteristic
58#11719538C2211yescharacteristic, complemented
59C2×#88204C2211yescharacteristic, complemented
60C2×#88204C2211yescharacteristic, complemented
61C2×#88203C2211yescharacteristic, complemented
62C2×#88203C2211yescharacteristic, complemented
63C2×#88196C2211yescharacteristic, complemented
64C22×#6106C2211yescharacteristic, complemented
65C2×#88186C2211yescharacteristic, complemented
66C22×#6104C2211yescharacteristic, complemented
67#11719431—21no—
68#11719422—21no—
69#11719381—21no—
70#11719381—21no—
71#11719310—21no—
72#11719310—21no—
73D13×#121—21no—
74D13×#121—21no—
75#11719256C2211yescharacteristic
76#11719256C2211yescharacteristic, complemented
77#11719255C2211yescharacteristic
78#11719255C2211yescharacteristic
79#11719255C2211yescharacteristic, complemented
80#11719255C2211yescharacteristic, complemented
81D4×D52C2211yescharacteristic
82D4×D52C2211yescharacteristic, complemented
83#11719182C2211yescharacteristic, complemented
84C2×C4×D52C2211yescharacteristic, complemented
85#11718900C2211yescharacteristic, complemented
86#11718900C2211yescharacteristic, complemented
87#11718899C2211yescharacteristic, complemented
88#11718899C2211yescharacteristic, complemented
89#11718895C2211yescharacteristic, complemented
90#11718895C2211yescharacteristic, complemented
91#11718895C2211yescharacteristic, complemented
92#11718895C2211yescharacteristic, complemented
93#11718889C2211yescharacteristic, complemented
94#11718888C2211yescharacteristic, complemented
95#11718879C2211yescharacteristic, complemented
96#11718878C2211yescharacteristic, complemented
97#11718730C2211yescharacteristic, complemented
98#11718729C2211yescharacteristic, complemented
99#11718729C2211yescharacteristic, complemented
100#11718728C2211yescharacteristic, complemented
101#11718727C2211yescharacteristic, complemented
102#11718727C2211yescharacteristic, complemented
103#11718727C2211yescharacteristic, complemented
104#11718727C2211yescharacteristic, complemented
105#11718721C2211yescharacteristic, complemented
106#11718720C2211yescharacteristic, complemented
107#11718720C2211yescharacteristic, complemented
108#11718719C2211yescharacteristic, complemented
109#11718718C2211yescharacteristic, complemented
110#11718718C2211yescharacteristic, complemented
111#11718718C2211yescharacteristic, complemented
112#11718718C2211yescharacteristic, complemented
113#11718713C2211yescharacteristic, complemented
114#11718713C2211yescharacteristic, complemented
115#11718712C2211yescharacteristic, complemented
116#11718712C2211yescharacteristic, complemented
117#11718710C2211yescharacteristic, complemented
118#11718710C2211yescharacteristic, complemented
119#11718709C2211yescharacteristic, complemented
120#11718709C2211yescharacteristic, complemented
121#11718708C2211yescharacteristic, complemented
122#11718708C2211yescharacteristic, complemented
123#11718708C2211yescharacteristic, complemented
124#11718708C2211yescharacteristic, complemented
125#11718708C2211yescharacteristic, complemented
126#11718708C2211yescharacteristic, complemented
127#11718708C2211yescharacteristic, complemented
128#11718708C2211yescharacteristic, complemented
129#11718707C2211yescharacteristic, complemented
130#11718707C2211yescharacteristic, complemented
131#11718707C2211yescharacteristic, complemented
132#11718707C2211yescharacteristic, complemented
133#11718707C2211yescharacteristic, complemented
134#11718707C2211yescharacteristic, complemented
135#11718705C2211yescharacteristic, complemented
136#11718704C2211yescharacteristic, complemented
137#11718703C2211yescharacteristic, complemented
138#11718703C2211yescharacteristic, complemented
139#11718702C2211yescharacteristic, complemented
140#11718702C2211yescharacteristic, complemented
141#11718700C2211yescharacteristic, complemented
142#11718700C2211yescharacteristic, complemented
143#11718699C2211yescharacteristic, complemented
144#11718699C2211yescharacteristic, complemented
145#11718698C2211yescharacteristic, complemented
146#11718698C2211yescharacteristic, complemented
147#11718698C2211yescharacteristic, complemented
148#11718698C2211yescharacteristic, complemented
149#11718698C2211yescharacteristic, complemented
150#11718698C2211yescharacteristic, complemented
151#11718698C2211yescharacteristic, complemented
152#11718698C2211yescharacteristic, complemented
153#11718697C2211yescharacteristic
154#11718697C2211yescharacteristic
155#11718697C2211yescharacteristic, complemented
156#11718697C2211yescharacteristic, complemented
157#11718697C2211yescharacteristic, complemented
158#11718697C2211yescharacteristic, complemented
159#11718695C2211yescharacteristic, complemented
160#11718694C2211yescharacteristic, complemented
161#11718692C2211yescharacteristic, complemented
162#11718689C2211yescharacteristic, complemented
163#11718689C2211yescharacteristic, complemented
164#11718688C2211yescharacteristic, complemented
165#11718687C2211yescharacteristic, complemented
166#11718687C2211yescharacteristic, complemented
167C4×#6106C2211yescharacteristic, complemented
168C4×#6106C2211yescharacteristic, complemented
169#11718680C2211yescharacteristic, complemented
170#11718677C2211yescharacteristic, complemented
171#11718677C2211yescharacteristic, complemented
172#11718676C2211yescharacteristic, complemented
173#11718675C2211yescharacteristic, complemented
174#11718675C2211yescharacteristic, complemented
175C4×#6104C2211yescharacteristic, complemented
176C4×#6104C2211yescharacteristic, complemented
177#11718673C2211yescharacteristic, complemented
178#11718673C2211yescharacteristic, complemented
179#11718672C2211yescharacteristic, complemented
180#11718672C2211yescharacteristic, complemented
181#11718672C2211yescharacteristic, complemented
182#11718672C2211yescharacteristic, complemented
183D4×#1055C2211yescharacteristic, complemented
184D4×#1055C2211yescharacteristic, complemented
185#11718664C2211yescharacteristic, complemented
186#11718664C2211yescharacteristic, complemented
187#11718663C2211yescharacteristic, complemented
188#11718663C2211yescharacteristic, complemented
189#11718662C2211yescharacteristic, complemented
190#11718662C2211yescharacteristic, complemented
191#11718657C2211yescharacteristic, complemented
192#11718657C2211yescharacteristic, complemented
193#11718632C2211yescharacteristic, complemented
194#11718631C2211yescharacteristic, complemented
195#11718629C2211yescharacteristic, complemented
196#11718628C2211yescharacteristic, complemented
197#11718627C2211yescharacteristic, complemented
198#11718627C2211yescharacteristic, complemented
199C2×#88049C2211yescharacteristic, complemented
200C2×#88049C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718586C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C2×C13×#41C2311yescharacteristic
207C22×Q8×C13C2311yescharacteristic
208C22×D4×C13C2311yescharacteristic
209#88256—42no—
210#88256—42no—
211#88256—42no—
212#88256—42no—
213C2×#6131—21no—
214C2×#6131—21no—
215C2×D4×D13—21no—
216C2×D4×D13—21no—
217C2×D4×D13—21no—
218C2×D4×D13—21no—
219C2×D4×D13—21no—
220C2×D4×D13—21no—
221C2×D4×D13—21no—
222C2×D4×D13—21no—
223C2×#6127C2311yescharacteristic
224C2×#6127C2311yescharacteristic
225C2×#6127C2311yescharacteristic
226C2×#6127C2311yescharacteristic
227C2×#6127C2311yescharacteristic
228C2×#6127C2311yescharacteristic
229C22×D52C2311yescharacteristic
230C22×D52C2311yescharacteristic
231C22×D52C2311yescharacteristic
232C22×D52C2311yescharacteristic
233C22×D52C2311yescharacteristic
234C22×C4×D13—21no—
235C13×C4⋊Q8—21no—
236C13×C4⋊Q8D411yescharacteristic
237C13×#127—21no—
238C13×#127D411yescharacteristic
239C13×#126—21no—
240C13×#126—21no—
241C13×#126—21no—
242C13×#126—21no—
243C13×#126—21no—
244C13×#126—21no—
245C13×#125—21no—
246C13×#125—21no—
247C13×#125C2311yescharacteristic
248C13×#125C2311yescharacteristic
249C13×#124—21no—
250C13×#124—21no—
251C13×#124—21no—
252C13×#124—21no—
253C13×#124D411yescharacteristic
254C13×#124D411yescharacteristic
255C13×#124C2311yescharacteristic
256C13×#124C2311yescharacteristic
257C13×#123—21no—
258C13×#123—21no—
259C13×#123—21no—
260C13×#123—21no—
261C13×#123—21no—
262C13×#123—21no—
263C13×#123—21no—
264C13×#123—21no—
265C13×#123—21no—
266C13×#123—21no—
267C13×C22⋊Q8—21no—
268C13×C22⋊Q8—21no—
269C13×C22⋊Q8—21no—
270C13×C22⋊Q8—21no—
271C13×C22⋊Q8C2311yescharacteristic
272C13×C22⋊Q8C2311yescharacteristic
273C13×C22⋊Q8C2311yescharacteristic
274C13×C22⋊Q8C2311yescharacteristic
275C13×C22⋊Q8C2311yescharacteristic
276C13×C22⋊Q8C2311yescharacteristic
277C13×#121—21no—
278C13×#121—21no—
279C13×#121—21no—
280C13×#121—21no—
281C13×#121—21no—
282C13×#121—21no—
283C13×#121—21no—
284C13×#121—21no—
285C13×#121—21no—
286C13×#121—21no—
287C13×#121—21no—
288C13×#121—21no—
289C13×#121D411yescharacteristic
290C13×#121D411yescharacteristic
291C13×#121D411yescharacteristic
292C13×#121D411yescharacteristic
293C13×#121C2311yescharacteristic
294C13×#121C2311yescharacteristic
295C13×#121C2311yescharacteristic
296C13×#121C2311yescharacteristic
297C13×#121C2311yescharacteristic
298C13×#121C2311yescharacteristic
299C13×#120—21no—
300C13×#120—21no—
301C13×#120—21no—
302C13×#120—21no—
303C4×Q8×C13C2311yescharacteristic
304C4×Q8×C13C2311yescharacteristic
305C4×D4×C13—21no—
306C4×D4×C13—21no—
307C4×D4×C13—21no—
308C4×D4×C13—21no—
309C4×D4×C13—21no—
310C4×D4×C13—21no—
311C4×D4×C13C2311yescharacteristic
312C4×D4×C13C2311yescharacteristic
313C4×D4×C13C2311yescharacteristic
314C4×D4×C13C2311yescharacteristic
315C4×D4×C13C2311yescharacteristic
316C4×D4×C13C2311yescharacteristic
317C13×#117—21no—
318C13×#117—21no—
319C13×#117—21no—
320C13×#117—21no—
321C13×#117C2311yescharacteristic
322C13×#117C2311yescharacteristic
323C2×C13×C4⋊C4C2311yescharacteristic
324C2×C13×C4⋊C4C2311yescharacteristic
325C2×C13×C22⋊C4—21no—
326C2×C13×C22⋊C4—21no—
327C2×C42×C13C2311yescharacteristic
328#88204—42no—
329#88204—42no—
330#88203—42no—
331#88203—42no—
332#88200—21no—
333#88200—21no—
334C2×#6107C2311yescharacteristic
335C2×#6107C2311yescharacteristic
336C2×#6107C2311yescharacteristic
337C2×#6107C2311yescharacteristic
338#88196—42no—
339C2×#6106—42no—
340C2×#6106C2311yescharacteristic
341C2×#6106C2311yescharacteristic
342C2×#6106C2311yescharacteristic
343C2×#6106C2311yescharacteristic
344C2×#6106C2311yescharacteristic
345C2×#6106C2311yescharacteristic
346C2×#6106C2311yescharacteristic
347C2×#6106C2311yescharacteristic
348#88193—21no—
349#88193—21no—
350#88193—21no—
351#88193—21no—
352#88192—21no—
353#88192—21no—
354#88192—21no—
355#88192—21no—
356#88191—21no—
357#88191—21no—
358#88191—21no—
359#88191—21no—
360C2×#6105C2311yescharacteristic
361C2×#6105C2311yescharacteristic
362C2×#6105C2311yescharacteristic
363C2×#6105C2311yescharacteristic
364#88186—42no—
365C2×#6104—42no—
366C2×#6104C2311yescharacteristic
367C2×#6104C2311yescharacteristic
368C2×#6104C2311yescharacteristic
369C2×#6104C2311yescharacteristic
370C2×#6104C2311yescharacteristic
371C2×#6104C2311yescharacteristic
372C2×#6104C2311yescharacteristic
373C2×#6104C2311yescharacteristic
374#88184—21no—
375#88184—21no—
376#88184C2311yescharacteristic
377#88184C2311yescharacteristic
378#88184C2311yescharacteristic
379#88184C2311yescharacteristic
380C2×#6103—21no—
381C2×C4⋊Dic13C2311yescharacteristic
382#88178C2311yescharacteristic
383#88178C2311yescharacteristic
384#88178C2311yescharacteristic
385#88178C2311yescharacteristic
386C2×#6099C2311yescharacteristic
387C2×#6099C2311yescharacteristic
388C2×#6099C2311yescharacteristic
389C2×#6099C2311yescharacteristic
390C22×#1055C2311yescharacteristic
391C22×#1055C2311yescharacteristic
392C22×#1055C2311yescharacteristic
393C22×#1055C2311yescharacteristic
394#88149—21no—
395#88149—21no—
396#88148—21no—
397#88148—21no—
398#88148—21no—
399#88148—21no—
400C4⋊C4×D13—21no—
401C4⋊C4×D13—21no—
402#88138—21no—
403#88138—21no—
404#88138—21no—
405#88138—21no—
406#88137—21no—
407#88137—21no—
408#88137—21no—
409#88137—21no—
410#88136—21no—
411#88136—21no—
412#88136—21no—
413#88136—21no—
414C22⋊C4×D13—21no—
415C22⋊C4×D13—21no—
416C22⋊C4×D13—21no—
417C22⋊C4×D13—21no—
418#88129C2311yescharacteristic
419#88129C2311yescharacteristic
420#88128C2311yescharacteristic
421C4×D52—21no—
422C4×D52—21no—
423C4×D52—21no—
424C4×D52—21no—
425C4×D52C2311yescharacteristic
426C4×D52C2311yescharacteristic
427C4×D52C2311yescharacteristic
428C4×D52C2311yescharacteristic
429#88123C2311yescharacteristic
430#88075C2311yescharacteristic
431#88075C2311yescharacteristic
432#88075C2311yescharacteristic
433#88075C2311yescharacteristic
434#88072C2311yescharacteristic
435#88072C2311yescharacteristic
436#88072C2311yescharacteristic
437#88072C2311yescharacteristic
438C22⋊#1055C2311yescharacteristic
439C22⋊#1055C2311yescharacteristic
440C22⋊#1055C2311yescharacteristic
441C22⋊#1055C2311yescharacteristic
442C22⋊#1055C2311yescharacteristic
443C22⋊#1055C2311yescharacteristic
444C22⋊#1055C2311yescharacteristic
445C22⋊#1055C2311yescharacteristic
446C22⋊#1055C2311yescharacteristic
447C22⋊#1055C2311yescharacteristic
448C22⋊#1055C2311yescharacteristic
449C22⋊#1055C2311yescharacteristic
450#88050C2311yescharacteristic
451#88050C2311yescharacteristic
452#88050C2311yescharacteristic
453#88050C2311yescharacteristic
454#88050C2311yescharacteristic
455#88050C2311yescharacteristic
456#88050C2311yescharacteristic
457#88050C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88049C2311yescharacteristic
461#88049C2311yescharacteristic
462#88049C2311yescharacteristic
463#88049C2311yescharacteristic
464#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88049C2311yescharacteristic
471#88049C2311yescharacteristic
472#88049C2311yescharacteristic
473#88049C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88048C2311yescharacteristic
477#88048C2311yescharacteristic
478#88047C2311yescharacteristic
479#88047C2311yescharacteristic
480#88047C2311yescharacteristic
481#88047C2311yescharacteristic
482C4⋊#1055C2311yescharacteristic
483C4⋊#1055C2311yescharacteristic
484C4⋊#1055C2311yescharacteristic
485C4⋊#1055C2311yescharacteristic
486#88043C2311yescharacteristic
487#88043C2311yescharacteristic
488C4×#1055C2311yescharacteristic
489C4×#1055C2311yescharacteristic
490#61678—131nomaximal, Sylow
491C24×C13—21no—
492C23×D13—21no—
493C23×D13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C13×#41—41no—
498C13×#41—41no—
499C13×#41—41no—
500C13×#41—41no—
501C13×#41—41no—
502C13×#41—41no—
503C13×#41—41no—
504C13×#41—41no—
505C2×Q8×C13—21no—
506C2×Q8×C13—41no—
507C2×Q8×C13—41no—
508C2×Q8×C13C2×D411yescharacteristic
509C2×Q8×C13C2×D411yescharacteristic
510C2×Q8×C13C2411yescharacteristic
511C2×Q8×C13C2411yescharacteristic
512C2×D4×C13—21no—
513C2×D4×C13—21no—
514C2×D4×C13—21no—
515C2×D4×C13—21no—
516C2×D4×C13—21no—
517C2×D4×C13—21no—
518C2×D4×C13—21no—
519C2×D4×C13—21no—
520C2×D4×C13—21no—
521C2×D4×C13—41no—
522C2×D4×C13—41no—
523C2×D4×C13C2×D411yescharacteristic
524C2×D4×C13C2×D411yescharacteristic
525C2×D4×C13C2×D411yescharacteristic
526C2×D4×C13C2×D411yescharacteristic
527C2×D4×C13C2×D411yescharacteristic
528C2×D4×C13C2×D411yescharacteristic
529C2×D4×C13C2×D411yescharacteristic
530C2×D4×C13C2×D411yescharacteristic
531C2×D4×C13C2×D411yescharacteristic
532C2×D4×C13C2×D411yescharacteristic
533C2×D4×C13C2411yescharacteristic
534C2×D4×C13C2411yescharacteristic
535C22×C4×C13—21no—
536C22×C4×C13—21no—
537C22×C4×C13—21no—
538C22×C4×C13—21no—
539C22×C4×C13—21no—
540C22×C4×C13—21no—
541C22×C4×C13—21no—
542C22×C4×C13C2×D411yescharacteristic
543C22×C4×C13C2×D411yescharacteristic
544C22×C4×C13C2411yescharacteristic
545C22×C4×C13C2411yescharacteristic
546C22×C4×C13C2411yescharacteristic
547C22×C4×C13C2411yescharacteristic
548C22×C4×C13C2411yescharacteristic
549C2×C22⋊D13—21no—
550C2×C22⋊D13—21no—
551C2×C22⋊D13—21no—
552C2×C22⋊D13—21no—
553C2×C22⋊D13—21no—
554C2×C22⋊D13—21no—
555C2×C22⋊D13—21no—
556C2×C22⋊D13—21no—
557C2×C22⋊D13—21no—
558C2×C22⋊D13—21no—
559C22×Dic13—21no—
560#6131—44no—
561#6131—44no—
562D4×D13—44no—
563D4×D13—44no—
564D4×D13—44no—
565D4×D13—44no—
566D4×D13—44no—
567D4×D13—44no—
568D4×D13—82no—
569D4×D13—82no—
570#6127—22no—
571#6127—22no—
572#6127—22no—
573#6127—22no—
574#6127—41no—
575#6127—41no—
576#6127—41no—
577#6127—41no—
578#6127—41no—
579#6127—41no—
580#6127—41no—
581#6127—41no—
582C2×D52—21no—
583C2×D52—22no—
584C2×D52—22no—
585C2×D52—22no—
586C2×D52—22no—
587C2×D52—22no—
588C2×D52—22no—
589C2×D52—21no—
590C2×D52—21no—
591C2×D52—21no—
592C2×D52—21no—
593C2×D52—21no—
594C2×D52—21no—
595C2×D52—41no—
596C2×D52—41no—
597C2×D52—41no—
598C2×D52—41no—
599C2×D52C2411yescharacteristic
600C2×D52C2411yescharacteristic
601C2×D52C2411yescharacteristic
602C2×D52C2411yescharacteristic
603C2×C4×D13—21no—
604C2×C4×D13—21no—
605C2×C4×D13—21no—
606C2×C4×D13—21no—
607C2×C4×D13—21no—
608C2×C4×D13—21no—
609C2×C4×D13—21no—
610C2×C4×D13—21no—
611C2×C4×D13—21no—
612C2×C4×D13—21no—
613C2×C4×D13—82no—
614C2×Dic26C2411yescharacteristic
615C2×Dic26C2411yescharacteristic
616C13×C4⋊C4—21no—
617C13×C4⋊C4—21no—
618C13×C4⋊C4—21no—
619C13×C4⋊C4—21no—
620C13×C4⋊C4—21no—
621C13×C4⋊C4—21no—
622C13×C4⋊C4—21no—
623C13×C4⋊C4—21no—
624C13×C4⋊C4—21no—
625C13×C4⋊C4—21no—
626C13×C4⋊C4—21no—
627C13×C4⋊C4—21no—
628C13×C4⋊C4—21no—
629C13×C4⋊C4—21no—
630C13×C4⋊C4C2×D411yescharacteristic
631C13×C4⋊C4C2×D411yescharacteristic
632C13×C4⋊C4C2×D411yescharacteristic
633C13×C4⋊C4C2×D411yescharacteristic
634C13×C4⋊C4C2411yescharacteristic
635C13×C4⋊C4C2411yescharacteristic
636C13×C4⋊C4C2411yescharacteristic
637C13×C4⋊C4C2411yescharacteristic
638C13×C22⋊C4—21no—
639C13×C22⋊C4—21no—
640C13×C22⋊C4—21no—
641C13×C22⋊C4—21no—
642C13×C22⋊C4—21no—
643C13×C22⋊C4—21no—
644C13×C22⋊C4—21no—
645C13×C22⋊C4—21no—
646C13×C22⋊C4—21no—
647C13×C22⋊C4—21no—
648C13×C22⋊C4—21no—
649C13×C22⋊C4—21no—
650C13×C22⋊C4—21no—
651C13×C22⋊C4—21no—
652C13×C22⋊C4—21no—
653C13×C22⋊C4—21no—
654C13×C22⋊C4—21no—
655C13×C22⋊C4—21no—
656C13×C22⋊C4—21no—
657C13×C22⋊C4—21no—
658C13×C22⋊C4C2×D411yescharacteristic
659C13×C22⋊C4C2×D411yescharacteristic
660C13×C22⋊C4C2×D411yescharacteristic
661C13×C22⋊C4C2×D411yescharacteristic
662C13×C22⋊C4C2×D411yescharacteristic
663C13×C22⋊C4C2×D411yescharacteristic
664C13×C22⋊C4C2×D411yescharacteristic
665C13×C22⋊C4C2×D411yescharacteristic
666C42×C13—21no—
667C42×C13—21no—
668C42×C13—21no—
669C42×C13—21no—
670C42×C13C2×D411yescharacteristic
671C42×C13C2×D411yescharacteristic
672C42×C13C2411yescharacteristic
673C42×C13C2411yescharacteristic
674C22⋊Dic13—21no—
675C22⋊Dic13—21no—
676C22⋊Dic13—21no—
677C22⋊Dic13—21no—
678#6107—41no—
679#6107—41no—
680#6107—41no—
681#6107—41no—
682#6106—22no—
683#6106—22no—
684#6106—22no—
685#6106—22no—
686#6106—41no—
687#6106—41no—
688#6106—41no—
689#6106—41no—
690#6105—41no—
691#6105—41no—
692#6105—41no—
693#6105—41no—
694#6104—22no—
695#6104—22no—
696#6104—22no—
697#6104—22no—
698#6104—41no—
699#6104—41no—
700#6104—41no—
701#6104—41no—
702#6103—21no—
703#6103—21no—
704#6103—21no—
705#6103—21no—
706#6103—21no—
707#6103—21no—
708#6103—21no—
709#6103—21no—
710#6103—21no—
711#6103—21no—
712#6103—21no—
713#6103—21no—
714C4⋊Dic13—21no—
715C4⋊Dic13—21no—
716C4⋊Dic13—21no—
717C4⋊Dic13C2411yescharacteristic
718C4⋊Dic13C2411yescharacteristic
719#6101—21no—
720#6101—21no—
721#6101—21no—
722#6101—21no—
723#6099—41no—
724#6099—41no—
725#6099—41no—
726#6099—41no—
727C2×#1055—41no—
728C2×#1055—41no—
729C2×#1055—41no—
730C2×#1055—41no—
731C2×#1055C2411yescharacteristic
732C2×#1055C2411yescharacteristic
733C2×#1055C2411yescharacteristic
734C2×#1055C2411yescharacteristic
735C2×#1055C2411yescharacteristic
736C2×#1055C2411yescharacteristic
737C2×#1055C2411yescharacteristic
738C2×#1055C2411yescharacteristic
739#3551D1311yescharacteristic, complemented
740#3496—131no—
741#3323—131no—
742#3322—131no—
743#3318—131no—
744#3315—131no—
745#3310—131no—
746#3307—131no—
747#3297—131no—
748#3296—131no—
749#3282—131no—
750#3280—131no—
751#3275—131no—
752#3273—131no—
753#3269—131no—
754#3267—131no—
755#3265—131no—
756#3264—131no—
757#3219—131no—
758#3212—131no—
759#3204—131no—
760#3203—131no—
761#3201—131no—
762#3198—131no—
763#3114—131no—
764#3105—131no—
765#3012—131no—
766#3012—131no—
767#3009—131no—
768#3008—131no—
769#2981—131no—
770C23×C13—21no—
771C23×C13—21no—
772C23×C13—81no—
773C23×C13—81no—
774C23×C13—81no—
775C23×C13C22×D411yescharacteristic
776C23×C13C22×D411yescharacteristic
777C23×C13C22×D411yescharacteristic
778C23×C13C22×D411yescharacteristic
779C23×C13C22×D411yescharacteristic
780C22×D13—21no—
781C22×D13—21no—
782C22×D13—24no—
783C22×D13—21no—
784C22×D13—21no—
785C22×D13—42no—
786C22×D13—42no—
787C22×D13—42no—
788C22×D13—42no—
789C22×D13—81no—
790C22×D13—81no—
791C22×D13—81no—
792C22×D13—81no—
793C22×D13—81no—
794C22×D13—81no—
795C22×D13—81no—
796C22×D13—81no—
797C22×D13—81no—
798C22×D13—81no—
799Q8×C13—21no—
800Q8×C13—21no—
801Q8×C13—21no—
802Q8×C13—21no—
803Q8×C13—41no—
804Q8×C13—41no—
805Q8×C13—81no—
806D4×C13—21no—
807D4×C13—21no—
808D4×C13—21no—
809D4×C13—21no—
810D4×C13—41no—
811D4×C13—41no—
812D4×C13—41no—
813D4×C13—41no—
814D4×C13—41no—
815D4×C13—41no—
816D4×C13—41no—
817D4×C13—41no—
818D4×C13—41no—
819D4×C13—41no—
820D4×C13—81no—
821D4×C13—81no—
822D4×C13—81no—
823D4×C13—81no—
824D4×C13—81no—
825D4×C13—81no—
826D4×C13—81no—
827D4×C13—81no—
828D4×C13—81no—
829C2×C4×C13—21no—
830C2×C4×C13—21no—
831C2×C4×C13—21no—
832C2×C4×C13—21no—
833C2×C4×C13—21no—
834C2×C4×C13—21no—
835C2×C4×C13—21no—
836C2×C4×C13—21no—
837C2×C4×C13—21no—
838C2×C4×C13—21no—
839C2×C4×C13—21no—
840C2×C4×C13—21no—
841C2×C4×C13—21no—
842C2×C4×C13—21no—
843C2×C4×C13—21no—
844C2×C4×C13—21no—
845C2×C4×C13—41no—
846C2×C4×C13—41no—
847C2×C4×C13—81no—
848C2×C4×C13—81no—
849C2×C4×C13—81no—
850C2×C4×C13—81no—
851C2×C4×C13—81no—
852C2×C4×C13—81no—
853C2×C4×C13—81no—
854C2×C4×C13C22×D411yescharacteristic
855C2×C4×C13C22×D411yescharacteristic
856C2×C4×C13C22×D411yescharacteristic
857C2×C4×C13C22×D411yescharacteristic
858C2×C4×C13C22×D411yescharacteristic
859C2×C4×C13C22×D411yescharacteristic
860C2×C4×C13C22×D411yescharacteristic
861C2×C4×C13C22×D411yescharacteristic
862C2×C4×C13C22×D411yescharacteristic
863C2×C4×C13C2511yescharacteristic
864C22⋊D13—42no—
865C22⋊D13—42no—
866C22⋊D13—42no—
867C22⋊D13—42no—
868C22⋊D13—42no—
869C22⋊D13—42no—
870C22⋊D13—81no—
871C22⋊D13—81no—
872C22⋊D13—81no—
873C22⋊D13—81no—
874C2×Dic13—21no—
875C2×Dic13—21no—
876C2×Dic13—21no—
877C2×Dic13—21no—
878C2×Dic13—81no—
879D52—24no—
880D52—21no—
881D52—21no—
882D52—21no—
883D52—21no—
884D52—21no—
885D52—21no—
886D52—42no—
887D52—42no—
888D52—42no—
889D52—42no—
890D52—42no—
891D52—81no—
892D52H(5,𝔽2)12yes—
893D52H(5,𝔽2)12yes—
894C4×D13—42no—
895C4×D13—42no—
896C4×D13—42no—
897C4×D13—42no—
898C4×D13—42no—
899C4×D13—42no—
900C4×D13—42no—
901C4×D13—42no—
902C4×D13—81no—
903C4×D13—81no—
904Dic26—21no—
905Dic26—21no—
906Dic26—21no—
907Dic26—21no—
908#1055—21no—
909#1055—21no—
910#1055—21no—
911#1055—21no—
912#1055—21no—
913#1055—21no—
914#1055—21no—
915#1055—21no—
916C2×H(5,𝔽2)—131no—
917C2×H(5,𝔽2)—131no—
918C2×#137—131no—
919C2×AGL(1,ℤ/8)—131no—
920C2×AGL(1,ℤ/8)—131no—
921C2×AGL(1,ℤ/8)—131no—
922C2×#135—131no—
923C2×#135—131no—
924C22×SD16—131no—
925C22×D8—131no—
926#563—21no—
927#560—21no—
928#555—21no—
929#553C2×D1311yescharacteristic, complemented
930#553C2×D1311yescharacteristic, complemented
931#552C2×D1311yescharacteristic, complemented
932#552C2×D1311yescharacteristic, complemented
933#551—21no—
934#548C2×D1311yescharacteristic, complemented
935#548C2×D1311yescharacteristic, complemented
936#547—131no—
937#547—131no—
938#547—261no—
939#546—131no—
940#546—131no—
941#546—131no—
942#546—131no—
943#546—261no—
944#546—261no—
945#546C2×D1311yescharacteristic, complemented
946#546C2×D1311yescharacteristic, complemented
947D42—131no—
948D42—131no—
949D42—261no—
950#540—21no—
951#540—21no—
952#538—21no—
953#538—21no—
954#537—131no—
955#537—131no—
956#537C2×D1311yescharacteristic, complemented
957#537C2×D1311yescharacteristic, complemented
958#536C2×D1311yescharacteristic, complemented
959#535C2×D1311yescharacteristic, complemented
960#534—261no—
961#534—261no—
962#532—131no—
963#532C2×D1311yescharacteristic
964#529C2×D1311yescharacteristic, complemented
965#529C2×D1311yescharacteristic, complemented
966C2×#121—261no—
967C2×#121—261no—
968C2×C4×D4—131no—
969#497—131no—
970#496—131no—
971#495—131no—
972#495—131no—
973#491—131no—
974#490—131no—
975#488—131no—
976#488—131no—
977#485—131no—
978#485—131no—
979#484—131no—
980#484—131no—
981#483—131no—
982#483—131no—
983#482—131no—
984#482—131no—
985#481—131no—
986#481—131no—
987#480—131no—
988#480—131no—
989#478—131no—
990#478—131no—
991#478—131no—
992#478—131no—
993#470—131no—
994#470—131no—
995#469—131no—
996#469—131no—
997#468—131no—
998#468—131no—
999#468—131no—
1000#468—131no—
1001#467—131no—
1002#467—131no—
1003#466—131no—
1004#466—131no—
1005#465—131no—
1006#465—131no—
1007#465—131no—
1008#465—131no—
1009#464—131no—
1010#464—131no—
1011#463—131no—
1012#463—131no—
1013#463—131no—
1014#463—131no—
1015#463—131no—
1016#463—131no—
1017#462—131no—
1018#461—131no—
1019#460—131no—
1020#459—131no—
1021#452—131no—
1022#452—131no—
1023#452—131no—
1024#452—131no—
1025#452—131no—
1026#452—131no—
1027#452—131no—
1028#452—131no—
1029#452—131no—
1030#452—131no—
1031#451—131no—
1032#450—131no—
1033#450—131no—
1034#450—131no—
1035#450—131no—
1036#450—131no—
1037#450—131no—
1038#450—131no—
1039#449—131no—
1040#449—131no—
1041#449—131no—
1042#449—131no—
1043#449—131no—
1044#449—131no—
1045#449—131no—
1046#449—131no—
1047#449—131no—
1048#449—131no—
1049#448—131no—
1050#447—131no—
1051#447—131no—
1052#447—131no—
1053#447—131no—
1054#447—131no—
1055#447—131no—
1056#447—131no—
1057#442—131no—
1058#442—131no—
1059#440—131no—
1060#440—131no—
1061C4×SD16—131no—
1062C4×SD16—131no—
1063C4×D8—131no—
1064C4×D8—131no—
1065#436—131no—
1066#436—131no—
1067#435—131no—
1068#435—131no—
1069#435—131no—
1070#435—131no—
1071C8×D4—131no—
1072C8×D4—131no—
1073#432—131no—
1074#431—131no—
1075#418—131no—
1076#418—131no—
1077#417—131no—
1078#417—131no—
1079#416—131no—
1080#416—131no—
1081C2×#102—131no—
1082C2×#102—131no—
1083#408—131no—
1084#408—131no—
1085#408—131no—
1086#408—131no—
1087C22×C13—21no—
1088C22×C13—21no—
1089C22×C13—21no—
1090C22×C13—21no—
1091C22×C13—21no—
1092C22×C13—21no—
1093C22×C13—21no—
1094C22×C13—21no—
1095C22×C13—21no—
1096C22×C13—21no—
1097C22×C13—21no—
1098C22×C13—21no—
1099C22×C13—21no—
1100C22×C13—21no—
1101C22×C13—21no—
1102C22×C13—41no—
1103C22×C13—41no—
1104C22×C13—41no—
1105C22×C13—41no—
1106C22×C13—41no—
1107C22×C13—41no—
1108C22×C13—162no—
1109C22×C13C23×D411yescharacteristic
1110C2×D13—22no—
1111C2×D13—22no—
1112C2×D13—41no—
1113C2×D13—41no—
1114C2×D13—41no—
1115C2×D13—41no—
1116C2×D13—41no—
1117C2×D13—41no—
1118C2×D13—41no—
1119C2×D13—41no—
1120C2×D13—41no—
1121C2×D13—41no—
1122C2×D13—84no—
1123C2×D13—162no—
1124C2×D13—162no—
1125C2×D13—162no—
1126C2×D13—162no—
1127C4×C13—21no—
1128C4×C13—21no—
1129C4×C13—21no—
1130C4×C13—21no—
1131C4×C13—21no—
1132C4×C13—21no—
1133C4×C13—21no—
1134C4×C13—21no—
1135C4×C13—21no—
1136C4×C13—41no—
1137C4×C13—41no—
1138C4×C13—41no—
1139C4×C13—41no—
1140C4×C13—41no—
1141C4×C13—41no—
1142C4×C13C2×H(5,𝔽2)11yescharacteristic
1143C4×C13C2×H(5,𝔽2)11yescharacteristic
1144Dic13—41no—
1145Dic13—41no—
1146Dic13—41no—
1147Dic13—41no—
1148H(5,𝔽2)—522no—
1149H(5,𝔽2)—522no—
1150H(5,𝔽2)—522no—
1151H(5,𝔽2)—522no—
1152C2×#41—131no—
1153C2×#41—131no—
1154C2×#41—131no—
1155C2×#41—131no—
1156C2×#41—131no—
1157C2×#41—131no—
1158C2×#41—261no—
1159C2×#41—261no—
1160C2×#41C22×D1311yescharacteristic
1161C2×#41C22×D1311yescharacteristic
1162C2×#41C22×D1311yescharacteristic
1163C2×#41C22×D1311yescharacteristic
1164C22×Q8C22×D1311yescharacteristic
1165C22×D4—131no—
1166C22×D4—131no—
1167C22×D4—131no—
1168C22×D4—131no—
1169C22×D4—131no—
1170C22×D4—261no—
1171C22×D4—261no—
1172C22×D4—261no—
1173C22×D4—261no—
1174C22×D4—261no—
1175C22×D4—261no—
1176C22×D4—261no—
1177C22×D4—261no—
1178C22×D4C22×D1311yescharacteristic
1179C23×C4—261no—
1180#137—522no—
1181AGL(1,ℤ/8)—522no—
1182AGL(1,ℤ/8)—522no—
1183AGL(1,ℤ/8)—522no—
1184#135—522no—
1185#135—522no—
1186C2×Q16—131no—
1187C2×Q16—131no—
1188C2×Q16—131no—
1189C2×Q16—131no—
1190C2×SD16—131no—
1191C2×SD16—131no—
1192C2×SD16—131no—
1193C2×SD16—131no—
1194C2×SD16—131no—
1195C2×SD16—131no—
1196C2×SD16—131no—
1197C2×SD16—131no—
1198C2×SD16—131no—
1199C2×SD16—131no—
1200C2×SD16—131no—
1201C2×SD16—131no—
1202C2×SD16—522no—
1203C2×D8—131no—
1204C2×D8—131no—
1205C2×D8—131no—
1206C2×D8—131no—
1207C2×D8—131no—
1208C2×D8—131no—
1209C2×D8—131no—
1210C2×D8—131no—
1211C2×D8—522no—
1212C2×M16—131no—
1213C2×M16—131no—
1214C2×M16—131no—
1215C2×M16—131no—
1216C22×C8—131no—
1217C22×C8—131no—
1218C22×C8—131no—
1219C22×C8—131no—
1220C4⋊Q8—21no—
1221C4⋊Q8—131no—
1222C4⋊Q8C22⋊D1311yescharacteristic
1223#127—21no—
1224#127—131no—
1225#127C22⋊D1311yescharacteristic
1226#126—21no—
1227#126—21no—
1228#126—21no—
1229#126—21no—
1230#126—21no—
1231#126—21no—
1232#125—21no—
1233#125—21no—
1234#125C22×D1311yescharacteristic
1235#125C22×D1311yescharacteristic
1236#124—21no—
1237#124—21no—
1238#124—21no—
1239#124—21no—
1240#124—131no—
1241#124—131no—
1242#124C22⋊D1311yescharacteristic
1243#124C22⋊D1311yescharacteristic
1244#124C22×D1311yescharacteristic
1245#124C22×D1311yescharacteristic
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—261no—
1257#123—261no—
1258#123—261no—
1259#123—261no—
1260#123—261no—
1261#123—261no—
1262#123—261no—
1263#123—261no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—131no—
1269C22⋊Q8—131no—
1270C22⋊Q8—131no—
1271C22⋊Q8—131no—
1272C22⋊Q8—261no—
1273C22⋊Q8—261no—
1274C22⋊Q8C22×D1311yescharacteristic
1275C22⋊Q8C22×D1311yescharacteristic
1276C22⋊Q8C22×D1311yescharacteristic
1277C22⋊Q8C22×D1311yescharacteristic
1278C22⋊Q8C22×D1311yescharacteristic
1279C22⋊Q8C22×D1311yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—131no—
1293#121—131no—
1294#121—131no—
1295#121—131no—
1296#121—261no—
1297#121—261no—
1298#121—261no—
1299#121—261no—
1300#121—261no—
1301#121—261no—
1302#121—261no—
1303#121—261no—
1304#121—261no—
1305#121—261no—
1306#121—261no—
1307#121—261no—
1308#121—261no—
1309#121—261no—
1310#121—261no—
1311#121—261no—
1312#121C22⋊D1311yescharacteristic
1313#121C22⋊D1311yescharacteristic
1314#121C22⋊D1311yescharacteristic
1315#121C22⋊D1311yescharacteristic
1316#121C22×D1311yescharacteristic
1317#121C22×D1311yescharacteristic
1318#121C22×D1311yescharacteristic
1319#121C22×D1311yescharacteristic
1320#121C22×D1311yescharacteristic
1321#121C22×D1311yescharacteristic
1322#120—21no—
1323#120—21no—
1324#120—21no—
1325#120—21no—
1326#120—261no—
1327#120—261no—
1328#120—261no—
1329#120—261no—
1330#120—261no—
1331#120—261no—
1332#120—261no—
1333#120—261no—
1334C4×Q8C22×D1311yescharacteristic
1335C4×Q8C22×D1311yescharacteristic
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—131no—
1343C4×D4—131no—
1344C4×D4—131no—
1345C4×D4—131no—
1346C4×D4—261no—
1347C4×D4—261no—
1348C4×D4—261no—
1349C4×D4—261no—
1350C4×D4C22×D1311yescharacteristic
1351C4×D4C22×D1311yescharacteristic
1352C4×D4C22×D1311yescharacteristic
1353C4×D4C22×D1311yescharacteristic
1354C4×D4C22×D1311yescharacteristic
1355C4×D4C22×D1311yescharacteristic
1356#117—21no—
1357#117—21no—
1358#117—21no—
1359#117—21no—
1360#117C22×D1311yescharacteristic
1361#117C22×D1311yescharacteristic
1362C2×C4⋊C4—131no—
1363C2×C4⋊C4—261no—
1364C2×C4⋊C4—261no—
1365C2×C4⋊C4C22×D1311yescharacteristic
1366C2×C4⋊C4C22×D1311yescharacteristic
1367C2×C22⋊C4—21no—
1368C2×C22⋊C4—21no—
1369C2×C22⋊C4—261no—
1370C2×C22⋊C4—261no—
1371C2×C22⋊C4—261no—
1372C2×C22⋊C4—261no—
1373C2×C22⋊C4—261no—
1374C2×C42C22×D1311yescharacteristic
1375#107—131no—
1376#107—131no—
1377#107—131no—
1378#107—131no—
1379#106—131no—
1380#106—131no—
1381#106—131no—
1382#106—131no—
1383C4⋊C8—131no—
1384C4⋊C8—131no—
1385C4⋊C8—131no—
1386C4⋊C8—131no—
1387#103—131no—
1388#103—131no—
1389#103—131no—
1390#103—131no—
1391#103—131no—
1392#103—131no—
1393#103—131no—
1394#103—131no—
1395#103—131no—
1396#103—131no—
1397#103—131no—
1398#103—131no—
1399#102—131no—
1400#102—131no—
1401#102—131no—
1402#102—131no—
1403#102—131no—
1404#102—131no—
1405#102—131no—
1406#102—131no—
1407#102—131no—
1408#102—131no—
1409#102—131no—
1410#102—131no—
1411#102—131no—
1412#102—131no—
1413#102—131no—
1414#102—131no—
1415#102—131no—
1416#102—131no—
1417#102—131no—
1418#102—131no—
1419C22⋊C8—131no—
1420C22⋊C8—131no—
1421C22⋊C8—131no—
1422C22⋊C8—131no—
1423C22⋊C8—131no—
1424C22⋊C8—131no—
1425C22⋊C8—131no—
1426C22⋊C8—131no—
1427C22⋊C8—131no—
1428C22⋊C8—131no—
1429C22⋊C8—131no—
1430C22⋊C8—131no—
1431#97—131no—
1432#97—131no—
1433C4×C8—131no—
1434C4×C8—131no—
1435C2×C13—41no—
1436C2×C13—41no—
1437C2×C13—41no—
1438C2×C13—41no—
1439C2×C13—41no—
1440C2×C13—81no—
1441C2×C13—81no—
1442C2×C13#348411yescharacteristic
1443C2×C13#358411yescharacteristic
1444C2×C13#358511yescharacteristic
1445D13—42no—
1446D13—42no—
1447D13—81no—
1448D13—81no—
1449C24—21no—
1450C24—261no—
1451C24—261no—
1452C24—261no—
1453C24—261no—
1454C24—261no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—262no—
1464#41—262no—
1465#41—262no—
1466#41—262no—
1467#41—521no—
1468#41—521no—
1469#41—521no—
1470#41—521no—
1471#41—521no—
1472#41—521no—
1473#41—521no—
1474#41—521no—
1475#41—524no—
1476#41—524no—
1477C2×Q8—21no—
1478C2×Q8—41no—
1479C2×Q8—41no—
1480C2×Q8—131no—
1481C2×Q8—131no—
1482C2×Q8C2×C22⋊D1311yescharacteristic
1483C2×Q8C2×C22⋊D1311yescharacteristic
1484C2×Q8C23×D1311yescharacteristic
1485C2×Q8C23×D1311yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—131no—
1498C2×D4—131no—
1499C2×D4—131no—
1500C2×D4—131no—
1501C2×D4—262no—
1502C2×D4—262no—
1503C2×D4—262no—
1504C2×D4—262no—
1505C2×D4—262no—
1506C2×D4—262no—
1507C2×D4—261no—
1508C2×D4—261no—
1509C2×D4—261no—
1510C2×D4—261no—
1511C2×D4—261no—
1512C2×D4—261no—
1513C2×D4—261no—
1514C2×D4—261no—
1515C2×D4—261no—
1516C2×D4—261no—
1517C2×D4—261no—
1518C2×D4—261no—
1519C2×D4—261no—
1520C2×D4—261no—
1521C2×D4—261no—
1522C2×D4—261no—
1523C2×D4—261no—
1524C2×D4—521no—
1525C2×D4—521no—
1526C2×D4—521no—
1527C2×D4—521no—
1528C2×D4—524no—
1529C2×D4—524no—
1530C2×D4—524no—
1531C2×D4—524no—
1532C2×D4—524no—
1533C2×D4—524no—
1534C2×D4—1042no—
1535C2×D4—1042no—
1536C2×D4C2×C22⋊D1311yescharacteristic
1537C2×D4C2×C22⋊D1311yescharacteristic
1538C2×D4C2×C22⋊D1311yescharacteristic
1539C2×D4C2×C22⋊D1311yescharacteristic
1540C2×D4C2×C22⋊D1311yescharacteristic
1541C2×D4C2×C22⋊D1311yescharacteristic
1542C2×D4C2×C22⋊D1311yescharacteristic
1543C2×D4C2×C22⋊D1311yescharacteristic
1544C2×D4C2×C22⋊D1311yescharacteristic
1545C2×D4C2×C22⋊D1311yescharacteristic
1546C2×D4C23×D1311yescharacteristic
1547C2×D4C23×D1311yescharacteristic
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—261no—
1556C22×C4—261no—
1557C22×C4—261no—
1558C22×C4—261no—
1559C22×C4—261no—
1560C22×C4—261no—
1561C22×C4—261no—
1562C22×C4—261no—
1563C22×C4—261no—
1564C22×C4—261no—
1565C22×C4—261no—
1566C22×C4—1042no—
1567C22×C4C2×C22⋊D1311yescharacteristic
1568C22×C4C2×C22⋊D1311yescharacteristic
1569C22×C4C23×D1311yescharacteristic
1570C22×C4C23×D1311yescharacteristic
1571C22×C4C23×D1311yescharacteristic
1572C22×C4C23×D1311yescharacteristic
1573C22×C4C23×D1311yescharacteristic
1574Q16—521no—
1575Q16—521no—
1576Q16—521no—
1577Q16—521no—
1578SD16—262no—
1579SD16—262no—
1580SD16—262no—
1581SD16—262no—
1582SD16—521no—
1583SD16—521no—
1584SD16—521no—
1585SD16—521no—
1586SD16—521no—
1587SD16—521no—
1588SD16—521no—
1589SD16—521no—
1590D8—262no—
1591D8—262no—
1592D8—262no—
1593D8—262no—
1594D8—521no—
1595D8—521no—
1596D8—521no—
1597D8—521no—
1598M16—521no—
1599M16—521no—
1600M16—521no—
1601M16—521no—
1602C2×C8—131no—
1603C2×C8—131no—
1604C2×C8—131no—
1605C2×C8—131no—
1606C2×C8—131no—
1607C2×C8—131no—
1608C2×C8—131no—
1609C2×C8—131no—
1610C2×C8—521no—
1611C2×C8—521no—
1612C2×C8—521no—
1613C2×C8—521no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—131no—
1629C4⋊C4—131no—
1630C4⋊C4—261no—
1631C4⋊C4—261no—
1632C4⋊C4—261no—
1633C4⋊C4—261no—
1634C4⋊C4—261no—
1635C4⋊C4—261no—
1636C4⋊C4—261no—
1637C4⋊C4C2×C22⋊D1311yescharacteristic
1638C4⋊C4C2×C22⋊D1311yescharacteristic
1639C4⋊C4C2×C22⋊D1311yescharacteristic
1640C4⋊C4C2×C22⋊D1311yescharacteristic
1641C4⋊C4C23×D1311yescharacteristic
1642C4⋊C4C23×D1311yescharacteristic
1643C4⋊C4C23×D1311yescharacteristic
1644C4⋊C4C23×D1311yescharacteristic
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—261no—
1666C22⋊C4—261no—
1667C22⋊C4—261no—
1668C22⋊C4—261no—
1669C22⋊C4—261no—
1670C22⋊C4—261no—
1671C22⋊C4—261no—
1672C22⋊C4—261no—
1673C22⋊C4—261no—
1674C22⋊C4—261no—
1675C22⋊C4—261no—
1676C22⋊C4—261no—
1677C22⋊C4—261no—
1678C22⋊C4—261no—
1679C22⋊C4—261no—
1680C22⋊C4—261no—
1681C22⋊C4C2×C22⋊D1311yescharacteristic
1682C22⋊C4C2×C22⋊D1311yescharacteristic
1683C22⋊C4C2×C22⋊D1311yescharacteristic
1684C22⋊C4C2×C22⋊D1311yescharacteristic
1685C22⋊C4C2×C22⋊D1311yescharacteristic
1686C22⋊C4C2×C22⋊D1311yescharacteristic
1687C22⋊C4C2×C22⋊D1311yescharacteristic
1688C22⋊C4C2×C22⋊D1311yescharacteristic
1689C42—21no—
1690C42—21no—
1691C42—21no—
1692C42—21no—
1693C42C2×C22⋊D1311yescharacteristic
1694C42C2×C22⋊D1311yescharacteristic
1695C42C23×D1311yescharacteristic
1696C42C23×D1311yescharacteristic
1697C13#6167811yescharacteristic, complemented, Sylow
1698C23—21no—
1699C23—21no—
1700C23—81no—
1701C23—81no—
1702C23—81no—
1703C23—264no—
1704C23—261no—
1705C23—261no—
1706C23—261no—
1707C23—261no—
1708C23—522no—
1709C23—522no—
1710C23—522no—
1711C23—522no—
1712C23—1041no—
1713C23—1041no—
1714C23—1041no—
1715C23—1041no—
1716C23—1041no—
1717C23—1041no—
1718C23—1041no—
1719C23—1041no—
1720C23—1041no—
1721C23—1041no—
1722C23C22×C22⋊D1311yescharacteristic
1723C23C22×C22⋊D1311yescharacteristic
1724C23C22×C22⋊D1311yescharacteristic
1725C23C22×C22⋊D1311yescharacteristic
1726C23C22×C22⋊D1311yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—41no—
1732Q8—41no—
1733Q8—81no—
1734Q8—261no—
1735Q8—261no—
1736Q8—261no—
1737Q8—261no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—41no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—132no—
1762D4—132no—
1763D4—264no—
1764D4—261no—
1765D4—261no—
1766D4—261no—
1767D4—261no—
1768D4—261no—
1769D4—261no—
1770D4—522no—
1771D4—522no—
1772D4—522no—
1773D4—522no—
1774D4—522no—
1775D4—522no—
1776D4—522no—
1777D4—522no—
1778D4—522no—
1779D4—522no—
1780D4—522no—
1781D4—1041no—
1782D4—1041no—
1783D4—1041no—
1784D4—1041no—
1785D4—1041no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—261no—
1812C2×C4—261no—
1813C2×C4—261no—
1814C2×C4—261no—
1815C2×C4—522no—
1816C2×C4—522no—
1817C2×C4—522no—
1818C2×C4—522no—
1819C2×C4—522no—
1820C2×C4—522no—
1821C2×C4—522no—
1822C2×C4—522no—
1823C2×C4—1041no—
1824C2×C4—1041no—
1825C2×C4—1041no—
1826C2×C4C22×C22⋊D1311yescharacteristic
1827C2×C4C22×C22⋊D1311yescharacteristic
1828C2×C4C22×C22⋊D1311yescharacteristic
1829C2×C4C22×C22⋊D1311yescharacteristic
1830C2×C4C22×C22⋊D1311yescharacteristic
1831C2×C4C22×C22⋊D1311yescharacteristic
1832C2×C4C22×C22⋊D1311yescharacteristic
1833C2×C4C22×C22⋊D1311yescharacteristic
1834C2×C4C22×C22⋊D1311yescharacteristic
1835C2×C4C24×D1311yescharacteristic
1836C8—261no—
1837C8—261no—
1838C8—261no—
1839C8—261no—
1840C8—261no—
1841C8—261no—
1842C8—261no—
1843C8—261no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—162no—
1866C22—262no—
1867C22—262no—
1868C22—521no—
1869C22—521no—
1870C22—521no—
1871C22—521no—
1872C22—521no—
1873C22—521no—
1874C22—521no—
1875C22—521no—
1876C22—521no—
1877C22—521no—
1878C22—1044no—
1879C22—2082no—
1880C22—2082no—
1881C22—2082no—
1882C22—2082no—
1883C22C23×C22⋊D1311yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—521no—
1900C4—521no—
1901C4—521no—
1902C4—521no—
1903C4D13×H(5,𝔽2)11yescharacteristic
1904C4D13×H(5,𝔽2)11yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—41no—
1910C2—81no—
1911C2—81no—
1912C2—522no—
1913C2—522no—
1914C2—1041no—
1915C2—1041no—
1916C2#1312846711yescharacteristic
1917C2#1312960711yescharacteristic
1918C2#1312961511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3551C2
socleC22×C13C23×D4
hypercenter#3551D13
hypocenterC13#61678
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #532 ◁ #3551

Complements

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

NH ≅ G/Ntype
1. #13128598C2semidirect
2. #13127046C2semidirect
3. #13127031C2semidirect
4. #13126971C2semidirect
5. #13126926C2semidirect
6. #13126851C2semidirect
7. #13126806C2semidirect
8. #13126680C2semidirect
9. #13126665C2semidirect
10. #13126544C2semidirect
11. #13126517C2semidirect
12. #13126468C2semidirect
13. #13126443C2semidirect
14. #13126392C2semidirect
15. #13126357C2semidirect
16. #13126332C2semidirect
17. #13126317C2semidirect
18. #13125869C2semidirect
19. #13125808C2semidirect
20. #13125742C2semidirect
21. #13125733C2semidirect
22. #13125718C2semidirect
23. #13125688C2semidirect
24. #13124970C2semidirect
25. #13124879C2semidirect
26. #13124137C2semidirect
27. #13124137C2semidirect
28. #13124111C2semidirect
29. #13124102C2semidirect
30. #13123912C2semidirect
31. C13×#3551C2semidirect
33. C2×#88256C22semidirect
37. C13×#553C22semidirect
38. C13×#553C22semidirect
39. C13×#552C22semidirect
40. C13×#552C22semidirect
42. C13×#548C22semidirect
43. C13×#548C22semidirect
44. C13×#546C22semidirect
45. C13×#546C22semidirect
50. C13×#537C22semidirect
51. C13×#537C22semidirect
52. C13×#536C22semidirect
53. C13×#535C22semidirect
55. C13×#529C22semidirect
56. C13×#529C22semidirect
58. #11719538C22semidirect
59. C2×#88204C22semidirect
60. C2×#88204C22semidirect
61. C2×#88203C22semidirect
62. C2×#88203C22semidirect
63. C2×#88196C22semidirect
64. C22×#6106C22semidirect
65. C2×#88186C22semidirect
66. C22×#6104C22semidirect
76. #11719256C22semidirect
79. #11719255C22semidirect
80. #11719255C22semidirect
82. D4×D52C22semidirect
83. #11719182C22semidirect
84. C2×C4×D52C22semidirect
85. #11718900C22semidirect
86. #11718900C22semidirect
87. #11718899C22semidirect
88. #11718899C22semidirect
89. #11718895C22semidirect
90. #11718895C22semidirect
91. #11718895C22semidirect
92. #11718895C22semidirect
93. #11718889C22semidirect
94. #11718888C22semidirect
95. #11718879C22semidirect
96. #11718878C22semidirect
97. #11718730C22semidirect
98. #11718729C22semidirect
99. #11718729C22semidirect
100. #11718728C22semidirect
101. #11718727C22semidirect
102. #11718727C22semidirect
103. #11718727C22semidirect
104. #11718727C22semidirect
105. #11718721C22semidirect
106. #11718720C22semidirect
107. #11718720C22semidirect
108. #11718719C22semidirect
109. #11718718C22semidirect
110. #11718718C22semidirect
111. #11718718C22semidirect
112. #11718718C22semidirect
113. #11718713C22semidirect
114. #11718713C22semidirect
115. #11718712C22semidirect
116. #11718712C22semidirect
117. #11718710C22semidirect
118. #11718710C22semidirect
119. #11718709C22semidirect
120. #11718709C22semidirect
121. #11718708C22semidirect
122. #11718708C22semidirect
123. #11718708C22semidirect
124. #11718708C22semidirect
125. #11718708C22semidirect
126. #11718708C22semidirect
127. #11718708C22semidirect
128. #11718708C22semidirect
129. #11718707C22semidirect
130. #11718707C22semidirect
131. #11718707C22semidirect
132. #11718707C22semidirect
133. #11718707C22semidirect
134. #11718707C22semidirect
135. #11718705C22semidirect
136. #11718704C22semidirect
137. #11718703C22semidirect
138. #11718703C22semidirect
139. #11718702C22semidirect
140. #11718702C22semidirect
141. #11718700C22semidirect
142. #11718700C22semidirect
143. #11718699C22semidirect
144. #11718699C22semidirect
145. #11718698C22semidirect
146. #11718698C22semidirect
147. #11718698C22semidirect
148. #11718698C22semidirect
149. #11718698C22semidirect
150. #11718698C22semidirect
151. #11718698C22semidirect
152. #11718698C22semidirect
155. #11718697C22semidirect
156. #11718697C22semidirect
157. #11718697C22semidirect
158. #11718697C22semidirect
159. #11718695C22semidirect
160. #11718694C22semidirect
161. #11718692C22semidirect
162. #11718689C22semidirect
163. #11718689C22semidirect
164. #11718688C22semidirect
165. #11718687C22semidirect
166. #11718687C22semidirect
167. C4×#6106C22semidirect
168. C4×#6106C22semidirect
169. #11718680C22semidirect
170. #11718677C22semidirect
171. #11718677C22semidirect
172. #11718676C22semidirect
173. #11718675C22semidirect
174. #11718675C22semidirect
175. C4×#6104C22semidirect
176. C4×#6104C22semidirect
177. #11718673C22semidirect
178. #11718673C22semidirect
179. #11718672C22semidirect
180. #11718672C22semidirect
181. #11718672C22semidirect
182. #11718672C22semidirect
183. D4×#1055C22semidirect
184. D4×#1055C22semidirect
185. #11718664C22semidirect
186. #11718664C22semidirect
187. #11718663C22semidirect
188. #11718663C22semidirect
189. #11718662C22semidirect
190. #11718662C22semidirect
191. #11718657C22semidirect
192. #11718657C22semidirect
193. #11718632C22semidirect
194. #11718631C22semidirect
195. #11718629C22semidirect
196. #11718628C22semidirect
197. #11718627C22semidirect
198. #11718627C22semidirect
199. C2×#88049C22semidirect
200. C2×#88049C22semidirect
201. #11718587C22semidirect
202. #11718586C22semidirect
739. #3551D13semidirect
929. #553C2×D13semidirect
930. #553C2×D13semidirect
931. #552C2×D13semidirect
932. #552C2×D13semidirect
934. #548C2×D13semidirect
935. #548C2×D13semidirect
945. #546C2×D13semidirect
946. #546C2×D13semidirect
956. #537C2×D13semidirect
957. #537C2×D13semidirect
958. #536C2×D13semidirect
959. #535C2×D13semidirect
964. #529C2×D13semidirect
965. #529C2×D13semidirect
1697. C13#61678semidirect

Maximal subgroups

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

subgroupindex
#131285982
#131270462
#131270312
#131269712
#131269262
#131268512
#131268062
#131266802
#131266652
#131265442
#131265172
#131264682
#131264432
#131263922
#131263572
#131263322
#131263172
#131258692
#131258082
#131257422
#131257332
#131257182
#131256882
#131249702
#131248792
#131241372
#131241112
#131241022
#131239122
C13×#35512
#6167813