Finite Group Databasebeta

← #16760122

Subgroups — #16760122

Order 3328.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128780C211yesmaximal, characteristic, complemented
2#13127790C211yesmaximal, characteristic, complemented
3#13127707C211yesmaximal, characteristic, complemented
4#13127604C211yesmaximal, characteristic, complemented
5#13127496C211yesmaximal, characteristic, complemented
6#13127425C211yesmaximal, characteristic, complemented
7#13127396C211yesmaximal, characteristic, complemented
8#13127390C211yesmaximal, characteristic, complemented
9#13127360C211yesmaximal, characteristic, complemented
10#13127276C211yesmaximal, characteristic, complemented
11#13127232C211yesmaximal, characteristic, complemented
12#13127061C211yesmaximal, characteristic, complemented
13#13127046C211yesmaximal, characteristic, complemented
14#13127031C211yesmaximal, characteristic, complemented
15#13126986C211yesmaximal, characteristic, complemented
16#13126971C211yesmaximal, characteristic, complemented
17#13126665C211yesmaximal, characteristic, complemented
18#13126292C211yesmaximal, characteristic, complemented
19#13126247C211yesmaximal, characteristic, complemented
20#13126232C211yesmaximal, characteristic, complemented
21#13126134C211yesmaximal, characteristic, complemented
22#13126089C211yesmaximal, characteristic, complemented
23#13126015C211yesmaximal, characteristic, complemented
24#13125107C211yesmaximal, characteristic, complemented
25#13125014C211yesmaximal, characteristic, complemented
26#13124879C211yesmaximal, characteristic, complemented
27#13124683C211yesmaximal, characteristic, complemented
28#13124661C211yesmaximal, characteristic, complemented
29#13124629C211yesmaximal, characteristic, complemented
30#13123985C211yesmaximal, characteristic, complemented
31C13×#3565C211yesmaximal, characteristic, complemented
32C13×#563—21no—
33C13×#562—21no—
34C13×#557C2211yescharacteristic, complemented
35C13×#556—21no—
36C13×#556C2211yescharacteristic
37C13×#555C2211yescharacteristic, complemented
38C13×#554C2211yescharacteristic, complemented
39C13×#553C2211yescharacteristic
40C13×#553C2211yescharacteristic, complemented
41C13×#552—21no—
42C13×#552C2211yescharacteristic, complemented
43C13×#552C2211yescharacteristic, complemented
44C13×#544C2211yescharacteristic, complemented
45C13×#544C2211yescharacteristic, complemented
46C13×#542—21no—
47C13×#542—21no—
48C13×#542C2211yescharacteristic, complemented
49C13×#542C2211yescharacteristic, complemented
50C13×#541—21no—
51C13×#539—21no—
52C13×#533C2211yescharacteristic, complemented
53C13×#529C2211yescharacteristic
54C13×#529C2211yescharacteristic, complemented
55#11719414—21no—
56#11719410—21no—
57#11719397—21no—
58#11719383—21no—
59#11719361—21no—
60D13×#123—21no—
61#11719342—21no—
62#11719315—21no—
63#11719290C2211yescharacteristic
64#11719284C2211yescharacteristic
65#11719270C2211yescharacteristic
66#11719260C2211yescharacteristic
67#11719255C2211yescharacteristic
68#11719255C2211yescharacteristic
69D4×D52C2211yescharacteristic
70#11719246C2211yescharacteristic
71#11719240C2211yescharacteristic
72#11719239C2211yescharacteristic
73#11719228C2211yescharacteristic
74#11719226C2211yescharacteristic
75#11719184C2211yescharacteristic
76C2×C4×D52C2211yescharacteristic
77#11718755C2211yescharacteristic, complemented
78#11718752C2211yescharacteristic, complemented
79#11718752C2211yescharacteristic, complemented
80#11718750C2211yescharacteristic, complemented
81#11718749C2211yescharacteristic
82#11718748C2211yescharacteristic
83#11718748C2211yescharacteristic
84#11718748C2211yescharacteristic
85#11718748C2211yescharacteristic, complemented
86#11718748C2211yescharacteristic, complemented
87#11718745C2211yescharacteristic
88#11718745C2211yescharacteristic, complemented
89#11718745C2211yescharacteristic, complemented
90#11718745C2211yescharacteristic, complemented
91#11718741C2211yescharacteristic, complemented
92#11718740C2211yescharacteristic, complemented
93#11718729C2211yescharacteristic, complemented
94#11718729C2211yescharacteristic, complemented
95#11718729C2211yescharacteristic, complemented
96#11718728C2211yescharacteristic
97#11718727C2211yescharacteristic
98#11718727C2211yescharacteristic
99#11718727C2211yescharacteristic
100#11718727C2211yescharacteristic
101#11718727C2211yescharacteristic
102#11718727C2211yescharacteristic, complemented
103#11718727C2211yescharacteristic, complemented
104#11718727C2211yescharacteristic, complemented
105#11718727C2211yescharacteristic, complemented
106#11718727C2211yescharacteristic, complemented
107#11718726C2211yescharacteristic, complemented
108#11718725C2211yescharacteristic, complemented
109#11718725C2211yescharacteristic, complemented
110#11718725C2211yescharacteristic, complemented
111#11718724C2211yescharacteristic, complemented
112#11718724C2211yescharacteristic, complemented
113#11718718C2211yescharacteristic
114#11718718C2211yescharacteristic, complemented
115#11718718C2211yescharacteristic, complemented
116#11718715C2211yescharacteristic, complemented
117#11718713C2211yescharacteristic, complemented
118#11718712C2211yescharacteristic, complemented
119#11718710C2211yescharacteristic
120#11718710C2211yescharacteristic
121#11718710C2211yescharacteristic, complemented
122#11718709C2211yescharacteristic, complemented
123#11718708C2211yescharacteristic
124#11718707C2211yescharacteristic
125#11718707C2211yescharacteristic
126#11718706C2211yescharacteristic, complemented
127#11718705C2211yescharacteristic, complemented
128#11718704C2211yescharacteristic, complemented
129#11718703C2211yescharacteristic, complemented
130#11718703C2211yescharacteristic, complemented
131#11718700C2211yescharacteristic
132#11718700C2211yescharacteristic, complemented
133#11718699C2211yescharacteristic
134#11718699C2211yescharacteristic, complemented
135#11718698C2211yescharacteristic
136#11718697C2211yescharacteristic
137#11718697C2211yescharacteristic
138#11718696C2211yescharacteristic, complemented
139#11718695C2211yescharacteristic, complemented
140#11718695C2211yescharacteristic, complemented
141#11718691C2211yescharacteristic, complemented
142#11718689C2211yescharacteristic, complemented
143#11718689C2211yescharacteristic, complemented
144#11718688C2211yescharacteristic
145#11718687C2211yescharacteristic, complemented
146C4×#6106C2211yescharacteristic
147C4×#6106C2211yescharacteristic
148C4×#6106C2211yescharacteristic
149C4×#6106C2211yescharacteristic, complemented
150#11718685C2211yescharacteristic, complemented
151Q8×#1055C2211yescharacteristic, complemented
152#11718683C2211yescharacteristic, complemented
153#11718683C2211yescharacteristic, complemented
154#11718682C2211yescharacteristic, complemented
155C4×#6105C2211yescharacteristic, complemented
156#11718677C2211yescharacteristic, complemented
157#11718677C2211yescharacteristic, complemented
158#11718676C2211yescharacteristic
159#11718675C2211yescharacteristic
160#11718675C2211yescharacteristic
161C4×#6104C2211yescharacteristic
162C4×#6104C2211yescharacteristic, complemented
163C4×#6104C2211yescharacteristic, complemented
164#11718673C2211yescharacteristic
165#11718673C2211yescharacteristic, complemented
166#11718673C2211yescharacteristic, complemented
167#11718672C2211yescharacteristic
168#11718672C2211yescharacteristic, complemented
169D4×#1055C2211yescharacteristic, complemented
170#11718670C2211yescharacteristic, complemented
171#11718670C2211yescharacteristic, complemented
172#11718668C2211yescharacteristic, complemented
173#11718664C2211yescharacteristic
174#11718664C2211yescharacteristic
175#11718664C2211yescharacteristic
176#11718664C2211yescharacteristic, complemented
177#11718664C2211yescharacteristic, complemented
178#11718663C2211yescharacteristic
179#11718662C2211yescharacteristic
180#11718662C2211yescharacteristic
181#11718662C2211yescharacteristic
182#11718661C2211yescharacteristic, complemented
183#11718661C2211yescharacteristic, complemented
184#11718660C2211yescharacteristic, complemented
185#11718660C2211yescharacteristic, complemented
186#11718659C2211yescharacteristic, complemented
187#11718657C2211yescharacteristic, complemented
188#11718657C2211yescharacteristic, complemented
189#11718657C2211yescharacteristic, complemented
190#11718656C2211yescharacteristic, complemented
191#11718656C2211yescharacteristic, complemented
192#11718656C2211yescharacteristic, complemented
193#11718632C2211yescharacteristic, complemented
194#11718629C2211yescharacteristic
195#11718629C2211yescharacteristic, complemented
196#11718628C2211yescharacteristic, complemented
197#11718627C2211yescharacteristic
198C2×#88049C2211yescharacteristic
199#11718625C2211yescharacteristic, complemented
200C2×#88047C2211yescharacteristic, complemented
201#11718586C2211yescharacteristic, complemented
202#11718585C2211yescharacteristic, complemented
203C2×#6129—21no—
204C2×D4×D13—21no—
205C2×#6127C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×D52C2311yescharacteristic
208C22×C4×D13—21no—
209C13×C4⋊Q8—21no—
210C13×C4⋊Q8—21no—
211C13×C4⋊Q8—21no—
212C13×C4⋊Q8C2311yescharacteristic
213C13×C4⋊Q8C2311yescharacteristic
214C13×C4⋊Q8C2311yescharacteristic
215C13×C4⋊Q8C2311yescharacteristic
216C13×#126—21no—
217C13×#126—21no—
218C13×#126—21no—
219C13×#126—21no—
220C13×#126—21no—
221C13×#126—21no—
222C13×#126—21no—
223C13×#126—21no—
224C13×#126—21no—
225C13×#126D411yescharacteristic
226C13×#126D411yescharacteristic
227C13×#125—21no—
228C13×#125—21no—
229C13×#125—21no—
230C13×#125—21no—
231C13×#125—21no—
232C13×#125—21no—
233C13×#125D411yescharacteristic
234C13×#125C2311yescharacteristic
235C13×#125C2311yescharacteristic
236C13×#125C2311yescharacteristic
237C13×#125C2311yescharacteristic
238C13×#125C2311yescharacteristic
239C13×#124—21no—
240C13×#124—21no—
241C13×#124—21no—
242C13×#124—21no—
243C13×#124—21no—
244C13×#124D411yescharacteristic
245C13×#124C2311yescharacteristic
246C13×#123—21no—
247C13×#123—21no—
248C13×#123—21no—
249C13×#123—21no—
250C13×#123—21no—
251C13×#123—21no—
252C13×#123—21no—
253C13×#123D411yescharacteristic
254C13×#123D411yescharacteristic
255C13×C22⋊Q8—21no—
256C13×C22⋊Q8—21no—
257C13×C22⋊Q8—21no—
258C13×C22⋊Q8—21no—
259C13×C22⋊Q8—21no—
260C13×C22⋊Q8—21no—
261C13×C22⋊Q8—21no—
262C13×C22⋊Q8—21no—
263C13×C22⋊Q8—21no—
264C13×C22⋊Q8—21no—
265C13×C22⋊Q8—21no—
266C13×C22⋊Q8D411yescharacteristic
267C13×C22⋊Q8C2311yescharacteristic
268C13×C22⋊Q8C2311yescharacteristic
269C13×C22⋊Q8C2311yescharacteristic
270C13×#121—21no—
271C13×#121—21no—
272C13×#121—21no—
273C13×#121D411yescharacteristic
274C13×#121C2311yescharacteristic
275C13×#121C2311yescharacteristic
276C13×#121C2311yescharacteristic
277C4×Q8×C13—21no—
278C4×Q8×C13—21no—
279C4×Q8×C13—21no—
280C4×Q8×C13—21no—
281C4×Q8×C13C2311yescharacteristic
282C4×Q8×C13C2311yescharacteristic
283C4×Q8×C13C2311yescharacteristic
284C4×Q8×C13C2311yescharacteristic
285C4×D4×C13—21no—
286C4×D4×C13—21no—
287C4×D4×C13—21no—
288C4×D4×C13C2311yescharacteristic
289C4×D4×C13C2311yescharacteristic
290C4×D4×C13C2311yescharacteristic
291C4×D4×C13C2311yescharacteristic
292C4×D4×C13C2311yescharacteristic
293C4×D4×C13C2311yescharacteristic
294C13×#117—21no—
295C13×#117—21no—
296C13×#117—21no—
297C13×#117—21no—
298C13×#117C2311yescharacteristic
299C13×#117C2311yescharacteristic
300C13×#117C2311yescharacteristic
301C13×#117C2311yescharacteristic
302C13×#117C2311yescharacteristic
303C13×#117C2311yescharacteristic
304C2×C13×C4⋊C4—21no—
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C13×C4⋊C4C2311yescharacteristic
307C2×C42×C13C2311yescharacteristic
308#88201—21no—
309#88200—21no—
310C2×#6107C2311yescharacteristic
311C2×#6106C2311yescharacteristic
312C2×#6106C2311yescharacteristic
313C2×#6106C2311yescharacteristic
314#88193—21no—
315#88191—21no—
316#88191—21no—
317#88189—21no—
318C2×#6105C2311yescharacteristic
319C2×#6104C2311yescharacteristic
320C2×#6104C2311yescharacteristic
321C2×#6104C2311yescharacteristic
322#88184C2311yescharacteristic
323#88184C2311yescharacteristic
324#88184C2311yescharacteristic
325#88184C2311yescharacteristic
326#88183—21no—
327C4×C22⋊D13—21no—
328C2×#6103—21no—
329#88180C2311yescharacteristic
330C2×C4⋊Dic13C2311yescharacteristic
331C2×C4⋊Dic13C2311yescharacteristic
332#88178C2311yescharacteristic
333#88178C2311yescharacteristic
334C2×#6099C2311yescharacteristic
335C2×#6099C2311yescharacteristic
336C2×#6099C2311yescharacteristic
337C2×#6099C2311yescharacteristic
338C22×#1055C2311yescharacteristic
339C22×#1055C2311yescharacteristic
340#88152—21no—
341#88152—21no—
342#88151—21no—
343#88150—21no—
344#88150—21no—
345#88150—21no—
346#88149—21no—
347#88148—21no—
348#88148—21no—
349#88148—21no—
350#88148—21no—
351#88148—21no—
352#88148—21no—
353#88147—21no—
354#88147—21no—
355#88147—21no—
356#88146—21no—
357C4⋊C4×D13—21no—
358C4⋊C4×D13—21no—
359#88143—21no—
360#88140—21no—
361#88140—21no—
362#88139—21no—
363#88138—21no—
364#88138—21no—
365#88138—21no—
366#88138—21no—
367#88137—21no—
368#88137—21no—
369#88136—21no—
370#88136—21no—
371#88135—21no—
372#88135—21no—
373#88135—21no—
374C22⋊C4×D13—21no—
375C22⋊C4×D13—21no—
376C22⋊C4×D13—21no—
377C22⋊C4×D13—21no—
378#88133—21no—
379#88131—21no—
380#88130—21no—
381#88129C2311yescharacteristic
382#88129C2311yescharacteristic
383#88128C2311yescharacteristic
384C4×D52—21no—
385C4×D52—21no—
386C4×D52C2311yescharacteristic
387C4×D52C2311yescharacteristic
388C4×D52C2311yescharacteristic
389C4×D52C2311yescharacteristic
390C4×D52C2311yescharacteristic
391C4×D52C2311yescharacteristic
392C4×D52C2311yescharacteristic
393C4×D52C2311yescharacteristic
394#88126—21no—
395#88124C2311yescharacteristic
396#88124C2311yescharacteristic
397#88123C2311yescharacteristic
398C4×Dic26C2311yescharacteristic
399C4×Dic26C2311yescharacteristic
400#88075C2311yescharacteristic
401#88075C2311yescharacteristic
402#88075C2311yescharacteristic
403#88075C2311yescharacteristic
404#88072C2311yescharacteristic
405#88072C2311yescharacteristic
406#88072C2311yescharacteristic
407#88072C2311yescharacteristic
408C22⋊#1055C2311yescharacteristic
409C22⋊#1055C2311yescharacteristic
410C22⋊#1055C2311yescharacteristic
411C22⋊#1055C2311yescharacteristic
412C22⋊#1055C2311yescharacteristic
413C22⋊#1055C2311yescharacteristic
414#88050C2311yescharacteristic
415#88050C2311yescharacteristic
416#88050C2311yescharacteristic
417#88050C2311yescharacteristic
418#88050C2311yescharacteristic
419#88050C2311yescharacteristic
420#88049C2311yescharacteristic
421#88049C2311yescharacteristic
422#88049C2311yescharacteristic
423#88049C2311yescharacteristic
424#88049C2311yescharacteristic
425#88049C2311yescharacteristic
426#88049C2311yescharacteristic
427#88049C2311yescharacteristic
428#88049C2311yescharacteristic
429#88049C2311yescharacteristic
430#88049C2311yescharacteristic
431#88049C2311yescharacteristic
432#88049C2311yescharacteristic
433#88049C2311yescharacteristic
434#88049C2311yescharacteristic
435#88049C2311yescharacteristic
436#88049C2311yescharacteristic
437#88049C2311yescharacteristic
438#88048C2311yescharacteristic
439#88048C2311yescharacteristic
440#88048C2311yescharacteristic
441#88048C2311yescharacteristic
442#88048C2311yescharacteristic
443#88048C2311yescharacteristic
444#88048C2311yescharacteristic
445#88048C2311yescharacteristic
446#88048C2311yescharacteristic
447#88048C2311yescharacteristic
448#88048C2311yescharacteristic
449#88048C2311yescharacteristic
450#88047C2311yescharacteristic
451#88047C2311yescharacteristic
452#88047C2311yescharacteristic
453#88047C2311yescharacteristic
454#88047C2311yescharacteristic
455#88047C2311yescharacteristic
456#88047C2311yescharacteristic
457#88047C2311yescharacteristic
458#88047C2311yescharacteristic
459#88047C2311yescharacteristic
460#88047C2311yescharacteristic
461#88047C2311yescharacteristic
462C4⋊#1055C2311yescharacteristic
463C4⋊#1055C2311yescharacteristic
464C4⋊#1055C2311yescharacteristic
465C4⋊#1055C2311yescharacteristic
466C4⋊#1055C2311yescharacteristic
467C4⋊#1055C2311yescharacteristic
468C4⋊#1055C2311yescharacteristic
469C4⋊#1055C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471C4⋊#1055C2311yescharacteristic
472#88043C2311yescharacteristic
473#88043C2311yescharacteristic
474C4×#1055C2311yescharacteristic
475C4×#1055C2311yescharacteristic
476C4×#1055C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478#62175—131nomaximal, Sylow
479C23×D13—21no—
480C23×D13—21no—
481C2×Q8×C13—21no—
482C2×Q8×C13—21no—
483C2×Q8×C13—21no—
484C2×Q8×C13—21no—
485C2×Q8×C13C2×D411yescharacteristic
486C2×Q8×C13C2411yescharacteristic
487C2×D4×C13—21no—
488C2×D4×C13—21no—
489C2×D4×C13—21no—
490C2×D4×C13C2×D411yescharacteristic
491C2×D4×C13C2×D411yescharacteristic
492C2×D4×C13C2×D411yescharacteristic
493C2×D4×C13C2411yescharacteristic
494C22×C4×C13—21no—
495C22×C4×C13—21no—
496C22×C4×C13—21no—
497C22×C4×C13—21no—
498C22×C4×C13—21no—
499C22×C4×C13C2×D411yescharacteristic
500C22×C4×C13C2×D411yescharacteristic
501C22×C4×C13C2411yescharacteristic
502C22×C4×C13C2411yescharacteristic
503C22×C4×C13C2411yescharacteristic
504C2×C22⋊D13—21no—
505C2×C22⋊D13—21no—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C22×Dic13—21no—
510C22×Dic13—21no—
511#6129—82no—
512D4×D13—82no—
513#6127—22no—
514#6127—41no—
515C2×D52—22no—
516C2×D52—22no—
517C2×D52—21no—
518C2×D52—21no—
519C2×D52—21no—
520C2×D52—21no—
521C2×D52—41no—
522C2×D52—41no—
523C2×D52C2411yescharacteristic
524C2×D52C2411yescharacteristic
525C2×D52C2411yescharacteristic
526C2×C4×D13—21no—
527C2×C4×D13—21no—
528C2×C4×D13—21no—
529C2×C4×D13—21no—
530C2×C4×D13—21no—
531C2×C4×D13—21no—
532C2×C4×D13—21no—
533C2×C4×D13—21no—
534C2×C4×D13—21no—
535C2×C4×D13—82no—
536C2×Dic26—21no—
537C2×Dic26C2411yescharacteristic
538C13×C4⋊C4—21no—
539C13×C4⋊C4—21no—
540C13×C4⋊C4—21no—
541C13×C4⋊C4—21no—
542C13×C4⋊C4—21no—
543C13×C4⋊C4—21no—
544C13×C4⋊C4—21no—
545C13×C4⋊C4—21no—
546C13×C4⋊C4—21no—
547C13×C4⋊C4—21no—
548C13×C4⋊C4—21no—
549C13×C4⋊C4—21no—
550C13×C4⋊C4—21no—
551C13×C4⋊C4—21no—
552C13×C4⋊C4—21no—
553C13×C4⋊C4—21no—
554C13×C4⋊C4—21no—
555C13×C4⋊C4—21no—
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
560C13×C4⋊C4C2×D411yescharacteristic
561C13×C4⋊C4C2×D411yescharacteristic
562C13×C4⋊C4C2×D411yescharacteristic
563C13×C4⋊C4C2×D411yescharacteristic
564C13×C4⋊C4C2×D411yescharacteristic
565C13×C4⋊C4C2×D411yescharacteristic
566C13×C4⋊C4C2×D411yescharacteristic
567C13×C4⋊C4C2×D411yescharacteristic
568C13×C4⋊C4C2×D411yescharacteristic
569C13×C4⋊C4C2×D411yescharacteristic
570C13×C4⋊C4C2411yescharacteristic
571C13×C4⋊C4C2411yescharacteristic
572C13×C4⋊C4C2411yescharacteristic
573C13×C4⋊C4C2411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C22⋊C4—21no—
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C13×C22⋊C4—21no—
585C13×C22⋊C4—21no—
586C13×C22⋊C4—21no—
587C13×C22⋊C4—21no—
588C13×C22⋊C4—21no—
589C13×C22⋊C4—21no—
590C13×C22⋊C4—21no—
591C13×C22⋊C4C2×D411yescharacteristic
592C13×C22⋊C4C2×D411yescharacteristic
593C13×C22⋊C4C2×D411yescharacteristic
594C13×C22⋊C4C2×D411yescharacteristic
595C13×C22⋊C4C2×D411yescharacteristic
596C13×C22⋊C4C2×D411yescharacteristic
597C13×C22⋊C4C2×D411yescharacteristic
598C13×C22⋊C4C2×D411yescharacteristic
599C13×C22⋊C4C2×D411yescharacteristic
600C13×C22⋊C4C2×D411yescharacteristic
601C42×C13—21no—
602C42×C13—21no—
603C42×C13—21no—
604C42×C13—21no—
605C42×C13—21no—
606C42×C13—21no—
607C42×C13—21no—
608C42×C13C2×D411yescharacteristic
609C42×C13C2×D411yescharacteristic
610C42×C13C2411yescharacteristic
611C42×C13C2411yescharacteristic
612C42×C13C2411yescharacteristic
613C42×C13C2411yescharacteristic
614C22⋊Dic13—21no—
615C22⋊Dic13—21no—
616C22⋊Dic13—21no—
617#6107—41no—
618#6106—22no—
619#6106—41no—
620#6106—41no—
621#6105—41no—
622#6104—22no—
623#6104—41no—
624#6104—41no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103—21no—
632#6103—21no—
633#6103—21no—
634#6103—21no—
635#6103—21no—
636#6103—21no—
637#6103—21no—
638#6103—21no—
639#6103—21no—
640#6103—21no—
641C4⋊Dic13—21no—
642C4⋊Dic13—21no—
643C4⋊Dic13—21no—
644C4⋊Dic13C2411yescharacteristic
645C4⋊Dic13C2411yescharacteristic
646C4⋊Dic13C2411yescharacteristic
647C4⋊Dic13C2411yescharacteristic
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656C4×Dic13—21no—
657C4×Dic13—21no—
658C4×Dic13—21no—
659#6099—41no—
660#6099—41no—
661#6099—41no—
662#6099—41no—
663C2×#1055—41no—
664C2×#1055—41no—
665C2×#1055C2411yescharacteristic
666C2×#1055C2411yescharacteristic
667C2×#1055C2411yescharacteristic
668C2×#1055C2411yescharacteristic
669C2×#1055C2411yescharacteristic
670C2×#1055C2411yescharacteristic
671C2×#1055C2411yescharacteristic
672C2×#1055C2411yescharacteristic
673#3565D1311yescharacteristic, complemented
674#3513—131no—
675#3389—131no—
676#3381—131no—
677#3371—131no—
678#3361—131no—
679#3354—131no—
680#3351—131no—
681#3351—131no—
682#3349—131no—
683#3343—131no—
684#3339—131no—
685#3324—131no—
686#3323—131no—
687#3322—131no—
688#3319—131no—
689#3318—131no—
690#3296—131no—
691#3262—131no—
692#3257—131no—
693#3256—131no—
694#3244—131no—
695#3241—131no—
696#3233—131no—
697#3125—131no—
698#3118—131no—
699#3105—131no—
700#3083—131no—
701#3081—131no—
702#3077—131no—
703#2993—131no—
704C23×C13—21no—
705C23×C13C22×D411yescharacteristic
706C23×C13C22×D411yescharacteristic
707C23×C13C22×D411yescharacteristic
708C22×D13—21no—
709C22×D13—21no—
710C22×D13—21no—
711C22×D13—42no—
712C22×D13—42no—
713C22×D13—42no—
714C22×D13—81no—
715C22×D13—81no—
716C22×D13—81no—
717Q8×C13—21no—
718Q8×C13—21no—
719Q8×C13—41no—
720Q8×C13—81no—
721Q8×C13—81no—
722Q8×C13—81no—
723Q8×C13—81no—
724D4×C13—21no—
725D4×C13—21no—
726D4×C13—41no—
727D4×C13—41no—
728D4×C13—41no—
729D4×C13—81no—
730D4×C13—81no—
731D4×C13—81no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—41no—
746C2×C4×C13—41no—
747C2×C4×C13—81no—
748C2×C4×C13—81no—
749C2×C4×C13—81no—
750C2×C4×C13—81no—
751C2×C4×C13—81no—
752C2×C4×C13C22×D411yescharacteristic
753C2×C4×C13C22×D411yescharacteristic
754C2×C4×C13C22×D411yescharacteristic
755C2×C4×C13C22×D411yescharacteristic
756C2×C4×C13C22×D411yescharacteristic
757C2×C4×C13C22×D411yescharacteristic
758C2×C4×C13C22×D411yescharacteristic
759C2×C4×C13C22×D411yescharacteristic
760C2×C4×C13C22×D411yescharacteristic
761C2×C4×C13C22×D411yescharacteristic
762C2×C4×C13C22×D411yescharacteristic
763C2×C4×C13C2511yescharacteristic
764C22⋊D13—42no—
765C22⋊D13—42no—
766C22⋊D13—81no—
767C22⋊D13—81no—
768C22⋊D13—81no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—42no—
775C2×Dic13—81no—
776D52—21no—
777D52—21no—
778D52—21no—
779D52—21no—
780D52—21no—
781D52—42no—
782D52—42no—
783D52—81no—
784D52—81no—
785D522−1+412yes—
786C4×D13—42no—
787C4×D13—81no—
788C4×D13—81no—
789C4×D13—81no—
790C4×D13—81no—
791C4×D13—81no—
792C4×D13—81no—
793C4×D13—81no—
794C4×D13—81no—
795Dic26—21no—
796Dic26—21no—
797Dic26—81no—
798#1055—21no—
799#1055—21no—
800#1055—21no—
801#1055—21no—
802#1055—21no—
803#1055—21no—
804#1055—21no—
805#1055—21no—
806#563—21no—
807#562—21no—
808#559—131no—
809#557C2×D1311yescharacteristic, complemented
810#556—21no—
811#556C2×D1311yescharacteristic
812#555C2×D1311yescharacteristic, complemented
813#554—131no—
814#554C2×D1311yescharacteristic, complemented
815#553—131no—
816#553—261no—
817#553C2×D1311yescharacteristic
818#553C2×D1311yescharacteristic, complemented
819#552—21no—
820#552—131no—
821#552C2×D1311yescharacteristic, complemented
822#552C2×D1311yescharacteristic, complemented
823#551—261no—
824#551—261no—
825#547—131no—
826#546—131no—
827#546—131no—
828#546—261no—
829D42—131no—
830#544C2×D1311yescharacteristic, complemented
831#544C2×D1311yescharacteristic, complemented
832#542—21no—
833#542—21no—
834#542—131no—
835#542C2×D1311yescharacteristic, complemented
836#542C2×D1311yescharacteristic, complemented
837#541—21no—
838#540—131no—
839#539—21no—
840#539—261no—
841#538—261no—
842#533C2×D1311yescharacteristic, complemented
843#529—131no—
844#529C2×D1311yescharacteristic
845#529C2×D1311yescharacteristic, complemented
846#525—261no—
847C2×#123—261no—
848#520—131no—
849#518—131no—
850C2×C4×D4—131no—
851#501—131no—
852#501—131no—
853#499—131no—
854#499—131no—
855#499—131no—
856#498—131no—
857#490—131no—
858#489—131no—
859#488—131no—
860#488—131no—
861#488—131no—
862#486—131no—
863#485—131no—
864#485—131no—
865#485—131no—
866#485—131no—
867#484—131no—
868#483—131no—
869#483—131no—
870#482—131no—
871#482—131no—
872#482—131no—
873#482—131no—
874#482—131no—
875#482—131no—
876#481—131no—
877#481—131no—
878#481—131no—
879#481—131no—
880#480—131no—
881#479—131no—
882#479—131no—
883#479—131no—
884#479—131no—
885#478—131no—
886#478—131no—
887#478—131no—
888#478—131no—
889#478—131no—
890#478—131no—
891#478—131no—
892#478—131no—
893#478—131no—
894#478—131no—
895#478—131no—
896#478—131no—
897#477—131no—
898#477—131no—
899#477—131no—
900#476—131no—
901#476—131no—
902#476—131no—
903#476—131no—
904#475—131no—
905#474—131no—
906#474—131no—
907#474—131no—
908#474—131no—
909#474—131no—
910#474—131no—
911#470—131no—
912#469—131no—
913#469—131no—
914#468—131no—
915#468—131no—
916#468—131no—
917#468—131no—
918#468—131no—
919#467—131no—
920#466—131no—
921#466—131no—
922#465—131no—
923#464—131no—
924#464—131no—
925#464—131no—
926#463—131no—
927#463—131no—
928#463—131no—
929#463—131no—
930#463—131no—
931#460—131no—
932#459—131no—
933#452—131no—
934#450—131no—
935#450—131no—
936#449—131no—
937#447—131no—
938#447—131no—
939#446—131no—
940C8×Q8—131no—
941#442—131no—
942#442—131no—
943#441—131no—
944#440—131no—
945C4×SD16—131no—
946C4×SD16—131no—
947C4×SD16—131no—
948C4×SD16—131no—
949C4×SD16—131no—
950C4×D8—131no—
951C4×D8—131no—
952C4×D8—131no—
953#436—131no—
954#436—131no—
955#436—131no—
956#435—131no—
957#435—131no—
958C8×D4—131no—
959#433—131no—
960#433—131no—
961#431—131no—
962#428—131no—
963#428—131no—
964#428—131no—
965#428—131no—
966#427—131no—
967C2×#107—131no—
968#424—131no—
969#424—131no—
970#423—131no—
971#418—131no—
972#418—131no—
973#418—131no—
974#417—131no—
975#416—131no—
976C2×#102—131no—
977C22×C13—21no—
978C22×C13—21no—
979C22×C13—21no—
980C22×C13—21no—
981C22×C13—21no—
982C22×C13—21no—
983C22×C13—21no—
984C22×C13—21no—
985C22×C13—21no—
986C22×C13—41no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13C23×D411yescharacteristic
990C2×D13—22no—
991C2×D13—41no—
992C2×D13—41no—
993C2×D13—41no—
994C2×D13—41no—
995C2×D13—41no—
996C2×D13—41no—
997C2×D13—41no—
998C2×D13—41no—
999C2×D13—84no—
1000C2×D13—162no—
1001C4×C13—21no—
1002C4×C13—21no—
1003C4×C13—21no—
1004C4×C13—21no—
1005C4×C13—21no—
1006C4×C13—21no—
1007C4×C13—21no—
1008C4×C13—21no—
1009C4×C13—21no—
1010C4×C13—21no—
1011C4×C13—21no—
1012C4×C13—41no—
1013C4×C13—41no—
1014C4×C13—41no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13C2×2−1+411yescharacteristic
1020C4×C13#58511yescharacteristic
1021Dic13—41no—
1022Dic13—41no—
1023Dic13—41no—
1024Dic13—41no—
1025Dic13—41no—
1026C2×#41—131no—
1027C2×#41—261no—
1028C22×D4—131no—
1029C22×D4—131no—
1030C22×D4—261no—
1031C23×C4—261no—
1032C2×Q16—131no—
1033C2×SD16—131no—
1034C2×SD16—131no—
1035C2×SD16—131no—
1036C2×SD16—131no—
1037C2×D8—131no—
1038C2×D8—131no—
1039C2×D8—131no—
1040C2×M16—131no—
1041C2×M16—131no—
1042C2×M16—131no—
1043C2×M16—131no—
1044C22×C8—131no—
1045C22×C8—131no—
1046C4⋊Q8—21no—
1047C4⋊Q8—21no—
1048C4⋊Q8—21no—
1049C4⋊Q8—131no—
1050C4⋊Q8C22×D1311yescharacteristic
1051C4⋊Q8C22×D1311yescharacteristic
1052C4⋊Q8C22×D1311yescharacteristic
1053C4⋊Q8C22×D1311yescharacteristic
1054#127—131no—
1055#126—21no—
1056#126—21no—
1057#126—21no—
1058#126—21no—
1059#126—21no—
1060#126—21no—
1061#126—21no—
1062#126—21no—
1063#126—21no—
1064#126—261no—
1065#126—261no—
1066#126—261no—
1067#126—261no—
1068#126C22⋊D1311yescharacteristic
1069#126C22⋊D1311yescharacteristic
1070#125—21no—
1071#125—21no—
1072#125—21no—
1073#125—21no—
1074#125—21no—
1075#125—21no—
1076#125—131no—
1077#125—131no—
1078#125—261no—
1079#125C22⋊D1311yescharacteristic
1080#125C22×D1311yescharacteristic
1081#125C22×D1311yescharacteristic
1082#125C22×D1311yescharacteristic
1083#125C22×D1311yescharacteristic
1084#125C22×D1311yescharacteristic
1085#124—21no—
1086#124—21no—
1087#124—21no—
1088#124—21no—
1089#124—21no—
1090#124—131no—
1091#124—131no—
1092#124—261no—
1093#124—261no—
1094#124C22⋊D1311yescharacteristic
1095#124C22×D1311yescharacteristic
1096#123—21no—
1097#123—21no—
1098#123—21no—
1099#123—21no—
1100#123—21no—
1101#123—21no—
1102#123—21no—
1103#123—261no—
1104#123—261no—
1105#123—261no—
1106#123—261no—
1107#123—261no—
1108#123—261no—
1109#123—261no—
1110#123—261no—
1111#123—261no—
1112#123—261no—
1113#123—261no—
1114#123—261no—
1115#123C22⋊D1311yescharacteristic
1116#123C22⋊D1311yescharacteristic
1117C22⋊Q8—21no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—131no—
1129C22⋊Q8—131no—
1130C22⋊Q8—261no—
1131C22⋊Q8—261no—
1132C22⋊Q8—261no—
1133C22⋊Q8—261no—
1134C22⋊Q8—261no—
1135C22⋊Q8C22⋊D1311yescharacteristic
1136C22⋊Q8C22×D1311yescharacteristic
1137C22⋊Q8C22×D1311yescharacteristic
1138C22⋊Q8C22×D1311yescharacteristic
1139#121—21no—
1140#121—21no—
1141#121—21no—
1142#121—131no—
1143#121—131no—
1144#121—131no—
1145#121—131no—
1146#121—261no—
1147#121—261no—
1148#121—261no—
1149#121—261no—
1150#121—261no—
1151#121—261no—
1152#121C22⋊D1311yescharacteristic
1153#121C22×D1311yescharacteristic
1154#121C22×D1311yescharacteristic
1155#121C22×D1311yescharacteristic
1156#120—261no—
1157#120—261no—
1158#120—261no—
1159#120—261no—
1160C4×Q8—21no—
1161C4×Q8—21no—
1162C4×Q8—21no—
1163C4×Q8—21no—
1164C4×Q8—131no—
1165C4×Q8—131no—
1166C4×Q8C22×D1311yescharacteristic
1167C4×Q8C22×D1311yescharacteristic
1168C4×Q8C22×D1311yescharacteristic
1169C4×Q8C22×D1311yescharacteristic
1170C4×D4—21no—
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—131no—
1174C4×D4—131no—
1175C4×D4—131no—
1176C4×D4—131no—
1177C4×D4—131no—
1178C4×D4—131no—
1179C4×D4—131no—
1180C4×D4—131no—
1181C4×D4—261no—
1182C4×D4—261no—
1183C4×D4—261no—
1184C4×D4—261no—
1185C4×D4—261no—
1186C4×D4—261no—
1187C4×D4—261no—
1188C4×D4—261no—
1189C4×D4—261no—
1190C4×D4C22×D1311yescharacteristic
1191C4×D4C22×D1311yescharacteristic
1192C4×D4C22×D1311yescharacteristic
1193C4×D4C22×D1311yescharacteristic
1194C4×D4C22×D1311yescharacteristic
1195C4×D4C22×D1311yescharacteristic
1196#117—21no—
1197#117—21no—
1198#117—21no—
1199#117—21no—
1200#117—131no—
1201#117—261no—
1202#117—261no—
1203#117—261no—
1204#117C22×D1311yescharacteristic
1205#117C22×D1311yescharacteristic
1206#117C22×D1311yescharacteristic
1207#117C22×D1311yescharacteristic
1208#117C22×D1311yescharacteristic
1209#117C22×D1311yescharacteristic
1210C2×C4⋊C4—21no—
1211C2×C4⋊C4—131no—
1212C2×C4⋊C4—131no—
1213C2×C4⋊C4—261no—
1214C2×C4⋊C4—261no—
1215C2×C4⋊C4C22×D1311yescharacteristic
1216C2×C4⋊C4C22×D1311yescharacteristic
1217C2×C22⋊C4—261no—
1218C2×C22⋊C4—261no—
1219C2×C22⋊C4—261no—
1220C2×C22⋊C4—261no—
1221C2×C22⋊C4—261no—
1222C2×C42C22×D1311yescharacteristic
1223#107—131no—
1224#107—131no—
1225#107—131no—
1226#107—131no—
1227#107—131no—
1228#107—131no—
1229#107—131no—
1230#107—131no—
1231#107—131no—
1232#107—131no—
1233#107—131no—
1234#107—131no—
1235#106—131no—
1236#106—131no—
1237#106—131no—
1238#106—131no—
1239#106—131no—
1240#106—131no—
1241#106—131no—
1242#106—131no—
1243#106—131no—
1244#106—131no—
1245#106—131no—
1246#106—131no—
1247C4⋊C8—131no—
1248C4⋊C8—131no—
1249C4⋊C8—131no—
1250C4⋊C8—131no—
1251C4⋊C8—131no—
1252C4⋊C8—131no—
1253C4⋊C8—131no—
1254C4⋊C8—131no—
1255C4⋊C8—131no—
1256C4⋊C8—131no—
1257#103—131no—
1258#103—131no—
1259#103—131no—
1260#103—131no—
1261#103—131no—
1262#103—131no—
1263#103—131no—
1264#103—131no—
1265#103—131no—
1266#103—131no—
1267#102—131no—
1268#102—131no—
1269#102—131no—
1270#102—131no—
1271#102—131no—
1272#102—131no—
1273#102—131no—
1274#102—131no—
1275#102—131no—
1276#102—131no—
1277#102—131no—
1278#102—131no—
1279#102—131no—
1280#102—131no—
1281#102—131no—
1282#102—131no—
1283#102—131no—
1284#102—131no—
1285#102—131no—
1286#102—131no—
1287#102—131no—
1288#102—131no—
1289C22⋊C8—131no—
1290C22⋊C8—131no—
1291C22⋊C8—131no—
1292C22⋊C8—131no—
1293C22⋊C8—131no—
1294C22⋊C8—131no—
1295#97—131no—
1296#97—131no—
1297C4×C8—131no—
1298C4×C8—131no—
1299C4×C8—131no—
1300C4×C8—131no—
1301C2×C13—41no—
1302C2×C13—41no—
1303C2×C13—41no—
1304C2×C13—81no—
1305C2×C13#348911yescharacteristic
1306C2×C13#358411yescharacteristic
1307C2×C13#358511yescharacteristic
1308D13—42no—
1309D13—81no—
1310D13—81no—
1311C24—261no—
1312C24—261no—
1313#41—262no—
1314#41—521no—
1315#41—1042no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—131no—
1321C2×Q8—261no—
1322C2×Q8C2×C22⋊D1311yescharacteristic
1323C2×Q8C23×D1311yescharacteristic
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—131no—
1328C2×D4—131no—
1329C2×D4—131no—
1330C2×D4—262no—
1331C2×D4—262no—
1332C2×D4—261no—
1333C2×D4—261no—
1334C2×D4—261no—
1335C2×D4—261no—
1336C2×D4—261no—
1337C2×D4—261no—
1338C2×D4—261no—
1339C2×D4—261no—
1340C2×D4—261no—
1341C2×D4—521no—
1342C2×D4—521no—
1343C2×D4—1042no—
1344C2×D4C2×C22⋊D1311yescharacteristic
1345C2×D4C2×C22⋊D1311yescharacteristic
1346C2×D4C2×C22⋊D1311yescharacteristic
1347C2×D4C23×D1311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—261no—
1354C22×C4—261no—
1355C22×C4—261no—
1356C22×C4—261no—
1357C22×C4—261no—
1358C22×C4—261no—
1359C22×C4—261no—
1360C22×C4—261no—
1361C22×C4—261no—
1362C22×C4—261no—
1363C22×C4—261no—
1364C22×C4—1042no—
1365C22×C4C2×C22⋊D1311yescharacteristic
1366C22×C4C2×C22⋊D1311yescharacteristic
1367C22×C4C23×D1311yescharacteristic
1368C22×C4C23×D1311yescharacteristic
1369C22×C4C23×D1311yescharacteristic
1370Q16—521no—
1371SD16—262no—
1372SD16—521no—
1373SD16—521no—
1374SD16—521no—
1375D8—262no—
1376D8—521no—
1377D8—521no—
1378M16—521no—
1379M16—521no—
1380M16—521no—
1381M16—521no—
1382C2×C8—131no—
1383C2×C8—131no—
1384C2×C8—131no—
1385C2×C8—131no—
1386C2×C8—131no—
1387C2×C8—131no—
1388C2×C8—131no—
1389C2×C8—131no—
1390C2×C8—521no—
1391C2×C8—521no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—131no—
1415C4⋊C4—131no—
1416C4⋊C4—131no—
1417C4⋊C4—131no—
1418C4⋊C4—261no—
1419C4⋊C4—261no—
1420C4⋊C4—261no—
1421C4⋊C4—261no—
1422C4⋊C4—261no—
1423C4⋊C4—261no—
1424C4⋊C4—261no—
1425C4⋊C4—261no—
1426C4⋊C4—261no—
1427C4⋊C4—261no—
1428C4⋊C4—261no—
1429C4⋊C4C2×C22⋊D1311yescharacteristic
1430C4⋊C4C2×C22⋊D1311yescharacteristic
1431C4⋊C4C2×C22⋊D1311yescharacteristic
1432C4⋊C4C2×C22⋊D1311yescharacteristic
1433C4⋊C4C2×C22⋊D1311yescharacteristic
1434C4⋊C4C2×C22⋊D1311yescharacteristic
1435C4⋊C4C2×C22⋊D1311yescharacteristic
1436C4⋊C4C2×C22⋊D1311yescharacteristic
1437C4⋊C4C2×C22⋊D1311yescharacteristic
1438C4⋊C4C2×C22⋊D1311yescharacteristic
1439C4⋊C4C23×D1311yescharacteristic
1440C4⋊C4C23×D1311yescharacteristic
1441C4⋊C4C23×D1311yescharacteristic
1442C4⋊C4C23×D1311yescharacteristic
1443C4⋊C4C23×D1311yescharacteristic
1444C4⋊C4C23×D1311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—261no—
1461C22⋊C4—261no—
1462C22⋊C4—261no—
1463C22⋊C4—261no—
1464C22⋊C4—261no—
1465C22⋊C4—261no—
1466C22⋊C4—261no—
1467C22⋊C4—261no—
1468C22⋊C4—261no—
1469C22⋊C4—261no—
1470C22⋊C4—261no—
1471C22⋊C4—261no—
1472C22⋊C4—261no—
1473C22⋊C4—261no—
1474C22⋊C4—261no—
1475C22⋊C4—261no—
1476C22⋊C4—261no—
1477C22⋊C4—261no—
1478C22⋊C4—261no—
1479C22⋊C4C2×C22⋊D1311yescharacteristic
1480C22⋊C4C2×C22⋊D1311yescharacteristic
1481C22⋊C4C2×C22⋊D1311yescharacteristic
1482C22⋊C4C2×C22⋊D1311yescharacteristic
1483C22⋊C4C2×C22⋊D1311yescharacteristic
1484C22⋊C4C2×C22⋊D1311yescharacteristic
1485C22⋊C4C2×C22⋊D1311yescharacteristic
1486C22⋊C4C2×C22⋊D1311yescharacteristic
1487C22⋊C4C2×C22⋊D1311yescharacteristic
1488C22⋊C4C2×C22⋊D1311yescharacteristic
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—261no—
1497C42—261no—
1498C42—261no—
1499C42C2×C22⋊D1311yescharacteristic
1500C42C2×C22⋊D1311yescharacteristic
1501C42C23×D1311yescharacteristic
1502C42C23×D1311yescharacteristic
1503C42C23×D1311yescharacteristic
1504C42C23×D1311yescharacteristic
1505C13#6217511yescharacteristic, complemented, Sylow
1506C23—21no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—522no—
1511C23—522no—
1512C23—522no—
1513C23—1041no—
1514C23—1041no—
1515C23—1041no—
1516C23C22×C22⋊D1311yescharacteristic
1517C23C22×C22⋊D1311yescharacteristic
1518C23C22×C22⋊D1311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—81no—
1524Q8—81no—
1525Q8—81no—
1526Q8—261no—
1527Q8—261no—
1528Q8—1041no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—132no—
1538D4—261no—
1539D4—261no—
1540D4—261no—
1541D4—261no—
1542D4—261no—
1543D4—522no—
1544D4—522no—
1545D4—522no—
1546D4—522no—
1547D4—1041no—
1548D4—1041no—
1549D4—1041no—
1550D4—1041no—
1551D4—1041no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—522no—
1578C2×C4—522no—
1579C2×C4—1041no—
1580C2×C4—1041no—
1581C2×C4—1041no—
1582C2×C4—1041no—
1583C2×C4—1041no—
1584C2×C4—1041no—
1585C2×C4—1041no—
1586C2×C4—1041no—
1587C2×C4—1041no—
1588C2×C4C22×C22⋊D1311yescharacteristic
1589C2×C4C22×C22⋊D1311yescharacteristic
1590C2×C4C22×C22⋊D1311yescharacteristic
1591C2×C4C22×C22⋊D1311yescharacteristic
1592C2×C4C22×C22⋊D1311yescharacteristic
1593C2×C4C22×C22⋊D1311yescharacteristic
1594C2×C4C22×C22⋊D1311yescharacteristic
1595C2×C4C22×C22⋊D1311yescharacteristic
1596C2×C4C22×C22⋊D1311yescharacteristic
1597C2×C4C22×C22⋊D1311yescharacteristic
1598C2×C4C22×C22⋊D1311yescharacteristic
1599C2×C4C24×D1311yescharacteristic
1600C8—261no—
1601C8—261no—
1602C8—261no—
1603C8—261no—
1604C8—261no—
1605C8—261no—
1606C8—261no—
1607C8—261no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—262no—
1621C22—521no—
1622C22—521no—
1623C22—521no—
1624C22—521no—
1625C22—521no—
1626C22—521no—
1627C22—521no—
1628C22—521no—
1629C22—1044no—
1630C22—2082no—
1631C22C23×C22⋊D1311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—521no—
1651C4—521no—
1652C4—521no—
1653C4—521no—
1654C4—521no—
1655C4D13×2−1+411yescharacteristic
1656C4#1171965211yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—81no—
1661C2—522no—
1662C2—1041no—
1663C2—1041no—
1664C2#1312850911yescharacteristic
1665C2#1312960711yescharacteristic
1666C2#1312961511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3565C2
socleC22×C13C23×D4
hypercenter#3565D13
hypocenterC13#62175
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3565

Complements

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

NH ≅ G/Ntype
1. #13128780C2semidirect
2. #13127790C2semidirect
3. #13127707C2semidirect
4. #13127604C2semidirect
5. #13127496C2semidirect
6. #13127425C2semidirect
7. #13127396C2semidirect
8. #13127390C2semidirect
9. #13127360C2semidirect
10. #13127276C2semidirect
11. #13127232C2semidirect
12. #13127061C2semidirect
13. #13127046C2semidirect
14. #13127031C2semidirect
15. #13126986C2semidirect
16. #13126971C2semidirect
17. #13126665C2semidirect
18. #13126292C2semidirect
19. #13126247C2semidirect
20. #13126232C2semidirect
21. #13126134C2semidirect
22. #13126089C2semidirect
23. #13126015C2semidirect
24. #13125107C2semidirect
25. #13125014C2semidirect
26. #13124879C2semidirect
27. #13124683C2semidirect
28. #13124661C2semidirect
29. #13124629C2semidirect
30. #13123985C2semidirect
31. C13×#3565C2semidirect
34. C13×#557C22semidirect
37. C13×#555C22semidirect
38. C13×#554C22semidirect
40. C13×#553C22semidirect
42. C13×#552C22semidirect
43. C13×#552C22semidirect
44. C13×#544C22semidirect
45. C13×#544C22semidirect
48. C13×#542C22semidirect
49. C13×#542C22semidirect
52. C13×#533C22semidirect
54. C13×#529C22semidirect
77. #11718755C22semidirect
78. #11718752C22semidirect
79. #11718752C22semidirect
80. #11718750C22semidirect
85. #11718748C22semidirect
86. #11718748C22semidirect
88. #11718745C22semidirect
89. #11718745C22semidirect
90. #11718745C22semidirect
91. #11718741C22semidirect
92. #11718740C22semidirect
93. #11718729C22semidirect
94. #11718729C22semidirect
95. #11718729C22semidirect
102. #11718727C22semidirect
103. #11718727C22semidirect
104. #11718727C22semidirect
105. #11718727C22semidirect
106. #11718727C22semidirect
107. #11718726C22semidirect
108. #11718725C22semidirect
109. #11718725C22semidirect
110. #11718725C22semidirect
111. #11718724C22semidirect
112. #11718724C22semidirect
114. #11718718C22semidirect
115. #11718718C22semidirect
116. #11718715C22semidirect
117. #11718713C22semidirect
118. #11718712C22semidirect
121. #11718710C22semidirect
122. #11718709C22semidirect
126. #11718706C22semidirect
127. #11718705C22semidirect
128. #11718704C22semidirect
129. #11718703C22semidirect
130. #11718703C22semidirect
132. #11718700C22semidirect
134. #11718699C22semidirect
138. #11718696C22semidirect
139. #11718695C22semidirect
140. #11718695C22semidirect
141. #11718691C22semidirect
142. #11718689C22semidirect
143. #11718689C22semidirect
145. #11718687C22semidirect
149. C4×#6106C22semidirect
150. #11718685C22semidirect
151. Q8×#1055C22semidirect
152. #11718683C22semidirect
153. #11718683C22semidirect
154. #11718682C22semidirect
155. C4×#6105C22semidirect
156. #11718677C22semidirect
157. #11718677C22semidirect
162. C4×#6104C22semidirect
163. C4×#6104C22semidirect
165. #11718673C22semidirect
166. #11718673C22semidirect
168. #11718672C22semidirect
169. D4×#1055C22semidirect
170. #11718670C22semidirect
171. #11718670C22semidirect
172. #11718668C22semidirect
176. #11718664C22semidirect
177. #11718664C22semidirect
182. #11718661C22semidirect
183. #11718661C22semidirect
184. #11718660C22semidirect
185. #11718660C22semidirect
186. #11718659C22semidirect
187. #11718657C22semidirect
188. #11718657C22semidirect
189. #11718657C22semidirect
190. #11718656C22semidirect
191. #11718656C22semidirect
192. #11718656C22semidirect
193. #11718632C22semidirect
195. #11718629C22semidirect
196. #11718628C22semidirect
199. #11718625C22semidirect
200. C2×#88047C22semidirect
201. #11718586C22semidirect
202. #11718585C22semidirect
673. #3565D13semidirect
809. #557C2×D13semidirect
812. #555C2×D13semidirect
814. #554C2×D13semidirect
818. #553C2×D13semidirect
821. #552C2×D13semidirect
822. #552C2×D13semidirect
830. #544C2×D13semidirect
831. #544C2×D13semidirect
835. #542C2×D13semidirect
836. #542C2×D13semidirect
842. #533C2×D13semidirect
845. #529C2×D13semidirect
1505. C13#62175semidirect

Maximal subgroups

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

subgroupindex
#131287802
#131277902
#131277072
#131276042
#131274962
#131274252
#131273962
#131273902
#131273602
#131272762
#131272322
#131270612
#131270462
#131270312
#131269862
#131269712
#131266652
#131262922
#131262472
#131262322
#131261342
#131260892
#131260152
#131251072
#131250142
#131248792
#131246832
#131246612
#131246292
#131239852
C13×#35652
#6217513