Finite Group Databasebeta

← #16735376

Subgroups — #16735376

Order 3328.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128559C211yesmaximal, characteristic
2#13128239C211yesmaximal, characteristic, complemented
3#13126139C211yesmaximal, characteristic, complemented
4#13126127C211yesmaximal, characteristic, complemented
5#13126124C211yesmaximal, characteristic, complemented
6#13126112C211yesmaximal, characteristic, complemented
7#13126096C211yesmaximal, characteristic, complemented
8#13126092C211yesmaximal, characteristic, complemented
9#13126092C211yesmaximal, characteristic, complemented
10#13126088C211yesmaximal, characteristic, complemented
11#13126080C211yesmaximal, characteristic, complemented
12#13126072C211yesmaximal, characteristic, complemented
13#13126034C211yesmaximal, characteristic, complemented
14#13126031C211yesmaximal, characteristic, complemented
15#13126018C211yesmaximal, characteristic, complemented
16#13125974C211yesmaximal, characteristic, complemented
17#13125970C211yesmaximal, characteristic, complemented
18#13125373C211yesmaximal, characteristic, complemented
19#13125365C211yesmaximal, characteristic, complemented
20#13125189C211yesmaximal, characteristic, complemented
21#13125189C211yesmaximal, characteristic, complemented
22#13124775C211yesmaximal, characteristic, complemented
23#13124768C211yesmaximal, characteristic, complemented
24#13124754C211yesmaximal, characteristic, complemented
25D13×#482C211yesmaximal, characteristic, complemented
26#13124695C211yesmaximal, characteristic, complemented
27#13124684C211yesmaximal, characteristic, complemented
28#13124662C211yesmaximal, characteristic, complemented
29#13124660C211yesmaximal, characteristic, complemented
30#13123489C211yesmaximal, characteristic, complemented
31C13×#3233C211yesmaximal, characteristic, complemented
32C13×#533C2211yescharacteristic, complemented
33C13×#529C2211yescharacteristic
34#11719434C2211yescharacteristic
35#11719434C2211yescharacteristic
36#11719434C2211yescharacteristic, complemented
37#11719434C2211yescharacteristic, complemented
38#11719414—21no—
39#11719410—21no—
40#11719403C2211yescharacteristic
41#11719394C2211yescharacteristic
42#11719394C2211yescharacteristic
43#11719394C2211yescharacteristic
44#11719394C2211yescharacteristic, complemented
45#11719394C2211yescharacteristic, complemented
46#11719387C2211yescharacteristic
47#11719379C2211yescharacteristic
48#11719360—21no—
49#11719359—21no—
50#11719339—21no—
51#11719339—21no—
52#11719332C2211yescharacteristic
53#11719329C2211yescharacteristic
54#11719328—21no—
55#11719328—21no—
56D13×#121C2211yescharacteristic
57#11719301C2211yescharacteristic
58#11719287C2211yescharacteristic
59#11719283—21no—
60#11719283—21no—
61#11719283—21no—
62#11719283—21no—
63#11719279C2211yescharacteristic
64#11719267C2211yescharacteristic
65#11719259—21no—
66#11719250C2211yescharacteristic
67#11719245—21no—
68#11719237—21no—
69#11719232—21no—
70D13×#117C2211yescharacteristic
71D13×#117C2211yescharacteristic
72#11719222C2211yescharacteristic, complemented
73#11719222C2211yescharacteristic, complemented
74#11719182C2211yescharacteristic
75C2×#88126C2211yescharacteristic
76#11719175C2211yescharacteristic, complemented
77C13×#499C2211yescharacteristic, complemented
78C13×#499C2211yescharacteristic, complemented
79C13×#488C2211yescharacteristic, complemented
80C13×#488C2211yescharacteristic, complemented
81C13×#485C2211yescharacteristic, complemented
82C13×#485C2211yescharacteristic, complemented
83C13×#482C2211yescharacteristic
84C13×#482C2211yescharacteristic
85C13×#477C2211yescharacteristic, complemented
86C13×#476C2211yescharacteristic, complemented
87C13×#475C2211yescharacteristic, complemented
88C13×#474C2211yescharacteristic, complemented
89C13×#431C2211yescharacteristic, complemented
90#11718748C2211yescharacteristic, complemented
91#11718748C2211yescharacteristic, complemented
92#11718745C2211yescharacteristic, complemented
93#11718745C2211yescharacteristic, complemented
94#11718728C2211yescharacteristic, complemented
95#11718728C2211yescharacteristic, complemented
96#11718726C2211yescharacteristic, complemented
97#11718726C2211yescharacteristic, complemented
98#11718726C2211yescharacteristic, complemented
99#11718726C2211yescharacteristic, complemented
100#11718716C2211yescharacteristic, complemented
101#11718716C2211yescharacteristic, complemented
102#11718706C2211yescharacteristic, complemented
103#11718706C2211yescharacteristic, complemented
104#11718696C2211yescharacteristic
105#11718696C2211yescharacteristic
106#11718683C2211yescharacteristic, complemented
107#11718683C2211yescharacteristic, complemented
108#11718670C2211yescharacteristic, complemented
109#11718670C2211yescharacteristic, complemented
110#11718664C2211yescharacteristic
111#11718664C2211yescharacteristic
112#11718664C2211yescharacteristic, complemented
113#11718664C2211yescharacteristic, complemented
114#11718587C2211yescharacteristic, complemented
115#11718552C2211yescharacteristic, complemented
116#11718552C2211yescharacteristic, complemented
117#11718551C2211yescharacteristic, complemented
118#11718551C2211yescharacteristic, complemented
119#11718546C2211yescharacteristic
120#11718546C2211yescharacteristic, complemented
121#11718543C2211yescharacteristic
122#11718543C2211yescharacteristic, complemented
123#11718542C2211yescharacteristic
124#11718542C2211yescharacteristic
125#11718541C2211yescharacteristic
126D13×#107C2211yescharacteristic
127#11718539C2211yescharacteristic, complemented
128#11718537C2211yescharacteristic, complemented
129#11718537C2211yescharacteristic, complemented
130#11718535C2211yescharacteristic, complemented
131#11718532C2211yescharacteristic, complemented
132#11718532C2211yescharacteristic, complemented
133#11718531C2211yescharacteristic, complemented
134#11718531C2211yescharacteristic, complemented
135#11718527C2211yescharacteristic
136#11718527C2211yescharacteristic, complemented
137#11718524C2211yescharacteristic
138#11718524C2211yescharacteristic, complemented
139#11718522C2211yescharacteristic
140#11718522C2211yescharacteristic
141#11718521C2211yescharacteristic
142D13×#106C2211yescharacteristic
143#11718519C2211yescharacteristic, complemented
144#11718517C2211yescharacteristic, complemented
145#11718517C2211yescharacteristic, complemented
146#11718516C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718508C2211yescharacteristic, complemented
149#11718508C2211yescharacteristic, complemented
150#11718508C2211yescharacteristic, complemented
151#11718501C2211yescharacteristic, complemented
152#11718501C2211yescharacteristic, complemented
153#11718500C2211yescharacteristic
154#11718500C2211yescharacteristic
155#11718476C2211yescharacteristic, complemented
156#11718475C2211yescharacteristic, complemented
157#11718470C2211yescharacteristic, complemented
158#11718466C2211yescharacteristic, complemented
159#11718465C2211yescharacteristic
160#11718465C2211yescharacteristic
161#11718464C2211yescharacteristic
162#11718464C2211yescharacteristic
163#11718461C2211yescharacteristic, complemented
164#11718461C2211yescharacteristic, complemented
165#11718460C2211yescharacteristic, complemented
166#11718457C2211yescharacteristic, complemented
167#11718456C2211yescharacteristic, complemented
168#11718456C2211yescharacteristic, complemented
169#11718455C2211yescharacteristic, complemented
170#11718452C2211yescharacteristic, complemented
171#11718445C2211yescharacteristic
172#11718440C2211yescharacteristic
173#11718438C2211yescharacteristic
174#11718435C2211yescharacteristic
175#11718431C2211yescharacteristic
176#11718431C2211yescharacteristic
177D13×#102C2211yescharacteristic
178D13×#102C2211yescharacteristic
179#11718427C2211yescharacteristic, complemented
180#11718425C2211yescharacteristic, complemented
181#11718425C2211yescharacteristic, complemented
182#11718424C2211yescharacteristic, complemented
183#11718422C2211yescharacteristic, complemented
184#11718421C2211yescharacteristic, complemented
185#11718421C2211yescharacteristic, complemented
186#11718420C2211yescharacteristic, complemented
187#11718398C2211yescharacteristic
188#11718398C2211yescharacteristic
189#11718398C2211yescharacteristic, complemented
190#11718398C2211yescharacteristic, complemented
191#11718387C2211yescharacteristic
192D13×C22⋊C8C2211yescharacteristic
193#11718380C2211yescharacteristic, complemented
194#11718379C2211yescharacteristic, complemented
195#11718355C2211yescharacteristic, complemented
196#11718355C2211yescharacteristic, complemented
197#11718351C2211yescharacteristic, complemented
198#11718351C2211yescharacteristic, complemented
199#11718350C2211yescharacteristic
200#11718350C2211yescharacteristic
201#11718343C2211yescharacteristic, complemented
202#11718341C2211yescharacteristic, complemented
203C2×#6131C2311yescharacteristic
204C2×#6129—21no—
205C2×D4×D13—21no—
206C2×D4×D13C2311yescharacteristic
207C2×#6127—21no—
208C22×C4×D13C2311yescharacteristic
209C13×C4⋊Q8C2311yescharacteristic
210C13×C4⋊Q8C2311yescharacteristic
211C13×#126—21no—
212C13×#125C2311yescharacteristic
213C13×#125C2311yescharacteristic
214C13×#125C2311yescharacteristic
215C13×#124C2311yescharacteristic
216C13×#123—21no—
217C13×C22⋊Q8—21no—
218C13×C22⋊Q8—21no—
219C13×C22⋊Q8C2311yescharacteristic
220C13×#121C2311yescharacteristic
221C4×Q8×C13—21no—
222C4×Q8×C13—21no—
223C4×Q8×C13C2311yescharacteristic
224C4×D4×C13—21no—
225C4×D4×C13C2311yescharacteristic
226C13×#117—21no—
227C13×#117C2311yescharacteristic
228C13×#117C2311yescharacteristic
229C2×C42×C13C2311yescharacteristic
230#88201C2311yescharacteristic
231#88200—21no—
232#88200—21no—
233#88200—21no—
234#88200—21no—
235#88200C2311yescharacteristic
236Q8×Dic13C2311yescharacteristic
237#88198—21no—
238#88198—21no—
239#88198—21no—
240#88198—21no—
241#88194C2311yescharacteristic
242#88193—21no—
243#88193—21no—
244#88192C2311yescharacteristic
245D4×Dic13C2311yescharacteristic
246#88184—21no—
247#88184—21no—
248#88184C2311yescharacteristic
249#88184C2311yescharacteristic
250#88183—21no—
251C4×C22⋊D13—21no—
252C2×#6103—21no—
253C2×#6103D411yescharacteristic
254C2×#6103D411yescharacteristic
255#88180C2311yescharacteristic
256#88180C2311yescharacteristic
257#88178—21no—
258#88178—21no—
259C2×#6101D411yescharacteristic
260C2×#6101D411yescharacteristic
261C2×C4×Dic13C2311yescharacteristic
262C2×#6094C2311yescharacteristic
263C2×#6094C2311yescharacteristic
264C2×C8×D13C2311yescharacteristic
265C2×C8×D13C2311yescharacteristic
266#88152—21no—
267#88151—21no—
268#88151—21no—
269#88151—21no—
270#88151—21no—
271#88151—21no—
272#88150—21no—
273#88150—21no—
274#88150—21no—
275#88150—21no—
276#88150—21no—
277#88150—21no—
278#88150—21no—
279#88150—21no—
280#88150—21no—
281#88150—21no—
282#88149—21no—
283#88149—21no—
284#88149C2311yescharacteristic
285#88149C2311yescharacteristic
286#88148—21no—
287#88148—21no—
288#88148—21no—
289#88148—21no—
290#88147—21no—
291#88147—21no—
292#88147C2311yescharacteristic
293#88147C2311yescharacteristic
294#88146—21no—
295#88146C2311yescharacteristic
296#88146C2311yescharacteristic
297#88146C2311yescharacteristic
298#88146C2311yescharacteristic
299#88146C2311yescharacteristic
300C4⋊C4×D13—21no—
301C4⋊C4×D13C2311yescharacteristic
302C4⋊C4×D13C2311yescharacteristic
303C4⋊C4×D13C2311yescharacteristic
304C4⋊C4×D13C2311yescharacteristic
305C4⋊C4×D13C2311yescharacteristic
306#88144C2311yescharacteristic
307#88144C2311yescharacteristic
308#88144C2311yescharacteristic
309#88144C2311yescharacteristic
310#88144C2311yescharacteristic
311#88143—21no—
312#88143—21no—
313#88143—21no—
314#88143—21no—
315#88143—21no—
316#88143—21no—
317#88143—21no—
318#88143—21no—
319#88143—21no—
320#88142—21no—
321#88142—21no—
322#88142—21no—
323#88142—21no—
324#88142—21no—
325#88142C2311yescharacteristic
326#88142C2311yescharacteristic
327#88142C2311yescharacteristic
328#88142C2311yescharacteristic
329#88142C2311yescharacteristic
330#88140—21no—
331#88140—21no—
332#88139—21no—
333#88139—21no—
334#88138—21no—
335#88138—21no—
336#88138—21no—
337#88138—21no—
338#88137—21no—
339#88136—21no—
340#88136—21no—
341#88136—21no—
342#88135—21no—
343#88135—21no—
344#88135—21no—
345#88135—21no—
346C22⋊C4×D13—21no—
347C22⋊C4×D13—21no—
348C22⋊C4×D13—21no—
349C22⋊C4×D13—21no—
350#88133—21no—
351#88132—21no—
352#88132—21no—
353#88132—21no—
354#88132—21no—
355#88132—21no—
356#88131—21no—
357#88131—21no—
358#88130—21no—
359#88129—21no—
360#88129—21no—
361#88128C2311yescharacteristic
362C4×D52—21no—
363C4×D52—21no—
364C4×D52C2311yescharacteristic
365C4×D52C2311yescharacteristic
366#88126—21no—
367#88126—21no—
368#88126—21no—
369#88126D411yescharacteristic
370#88126D411yescharacteristic
371#88126D411yescharacteristic
372#88126D411yescharacteristic
373#88126C2311yescharacteristic
374#88126C2311yescharacteristic
375#88126C2311yescharacteristic
376#88126C2311yescharacteristic
377C42×D13—21no—
378C42×D13—21no—
379#88124C2311yescharacteristic
380#88124C2311yescharacteristic
381#88123C2311yescharacteristic
382#88123C2311yescharacteristic
383#88123C2311yescharacteristic
384C4×Dic26—21no—
385C4×Dic26—21no—
386C4×Dic26—21no—
387C4×Dic26—21no—
388C4×Dic26—21no—
389C4×Dic26—21no—
390C13×#107C2311yescharacteristic
391C13×#107C2311yescharacteristic
392C13×#107C2311yescharacteristic
393C13×#107C2311yescharacteristic
394C13×#106C2311yescharacteristic
395C13×#106C2311yescharacteristic
396C13×#106C2311yescharacteristic
397C13×#106C2311yescharacteristic
398C13×C4⋊C8C2311yescharacteristic
399C13×C4⋊C8C2311yescharacteristic
400C13×#103C2311yescharacteristic
401C13×#103C2311yescharacteristic
402C13×#103C2311yescharacteristic
403C13×#103C2311yescharacteristic
404C13×#102C2311yescharacteristic
405C13×#102C2311yescharacteristic
406C13×#102C2311yescharacteristic
407C13×#102C2311yescharacteristic
408C13×C22⋊C8C2311yescharacteristic
409C13×C22⋊C8C2311yescharacteristic
410C4×C8×C13C2311yescharacteristic
411C4×C8×C13C2311yescharacteristic
412#88075C2311yescharacteristic
413#88075C2311yescharacteristic
414#88075C2311yescharacteristic
415#88075C2311yescharacteristic
416#88072C2311yescharacteristic
417#88072C2311yescharacteristic
418#88072C2311yescharacteristic
419#88072C2311yescharacteristic
420C22⋊#1055C2311yescharacteristic
421C22⋊#1055C2311yescharacteristic
422#88061C2311yescharacteristic
423#88061C2311yescharacteristic
424#88061C2311yescharacteristic
425#88061C2311yescharacteristic
426#88061C2311yescharacteristic
427#88061C2311yescharacteristic
428#88061C2311yescharacteristic
429#88061C2311yescharacteristic
430#88060C2311yescharacteristic
431#88060C2311yescharacteristic
432#88060C2311yescharacteristic
433#88060C2311yescharacteristic
434#88058C2311yescharacteristic
435#88058C2311yescharacteristic
436#88058C2311yescharacteristic
437#88058C2311yescharacteristic
438#88057C2311yescharacteristic
439#88057C2311yescharacteristic
440#88057C2311yescharacteristic
441#88057C2311yescharacteristic
442#88055C2311yescharacteristic
443#88055C2311yescharacteristic
444#88054C2311yescharacteristic
445#88054C2311yescharacteristic
446#88054C2311yescharacteristic
447#88054C2311yescharacteristic
448C8×Dic13C2311yescharacteristic
449C8×Dic13C2311yescharacteristic
450#88049C2311yescharacteristic
451#88049C2311yescharacteristic
452#88049C2311yescharacteristic
453#88049C2311yescharacteristic
454#88049C2311yescharacteristic
455#88049C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88048C2311yescharacteristic
459#88048C2311yescharacteristic
460#88048C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88047C2311yescharacteristic
467#88047C2311yescharacteristic
468#88047C2311yescharacteristic
469#88047C2311yescharacteristic
470#88047C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474C4⋊#1055C2311yescharacteristic
475C4⋊#1055C2311yescharacteristic
476#88043C2311yescharacteristic
477#88043C2311yescharacteristic
478#60875—131nomaximal, Sylow
479C23×D13—21no—
480C23×D13C2×D411yescharacteristic
481C2×Q8×C13—21no—
482C2×Q8×C13—21no—
483C2×Q8×C13C2411yescharacteristic
484C2×D4×C13—21no—
485C2×D4×C13C2411yescharacteristic
486C22×C4×C13—21no—
487C22×C4×C13C2×D411yescharacteristic
488C22×C4×C13C2×D411yescharacteristic
489C22×C4×C13C2411yescharacteristic
490C2×C22⋊D13—21no—
491C2×C22⋊D13—21no—
492C2×C22⋊D13—21no—
493C2×C22⋊D13—21no—
494C2×C22⋊D13—21no—
495C2×C22⋊D13—21no—
496C22×Dic13—21no—
497C22×Dic13C2×D411yescharacteristic
498C22×Dic13C2×D411yescharacteristic
499C22×Dic13C2×D411yescharacteristic
500#6131—22no—
501#6131—22no—
502#6129—82no—
503D4×D13—22no—
504D4×D13—22no—
505D4×D13—82no—
506#6127—82no—
507C2×D52—21no—
508C2×D52—21no—
509C2×D52—21no—
510C2×D52—21no—
511C2×D52—21no—
512C2×D52C2411yescharacteristic
513C2×D52C2411yescharacteristic
514C2×C4×D13—22no—
515C2×C4×D13—22no—
516C2×C4×D13—21no—
517C2×C4×D13—21no—
518C2×C4×D13—21no—
519C2×C4×D13—21no—
520C2×C4×D13—21no—
521C2×C4×D13—21no—
522C2×C4×D13—21no—
523C2×C4×D13—21no—
524C2×C4×D13—21no—
525C2×C4×D13—21no—
526C2×C4×D13C2×D411yescharacteristic
527C2×C4×D13C2×D411yescharacteristic
528C2×C4×D13C2411yescharacteristic
529C2×C4×D13C2411yescharacteristic
530C2×Dic26—21no—
531C2×Dic26—21no—
532C2×Dic26—21no—
533C2×Dic26—21no—
534C2×Dic26—21no—
535C2×Dic26—21no—
536C2×Dic26—21no—
537C2×Dic26—21no—
538C2×C8×C13C2411yescharacteristic
539C2×C8×C13C2411yescharacteristic
540C2×C8×C13C2411yescharacteristic
541C2×C8×C13C2411yescharacteristic
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⋊C4C2411yescharacteristic
553C13×C4⋊C4C2411yescharacteristic
554C13×C4⋊C4C2411yescharacteristic
555C13×C4⋊C4C2411yescharacteristic
556C13×C4⋊C4C2411yescharacteristic
557C13×C4⋊C4C2411yescharacteristic
558C13×C22⋊C4—21no—
559C13×C22⋊C4—21no—
560C13×C22⋊C4—21no—
561C13×C22⋊C4—21no—
562C13×C22⋊C4—21no—
563C13×C22⋊C4—21no—
564C13×C22⋊C4—21no—
565C42×C13—21no—
566C42×C13—21no—
567C42×C13—21no—
568C42×C13C2×D411yescharacteristic
569C42×C13C2×D411yescharacteristic
570C42×C13C2411yescharacteristic
571C42×C13C2411yescharacteristic
572C22⋊Dic13—21no—
573C22⋊Dic13—21no—
574C22⋊Dic13—21no—
575C22⋊Dic13—21no—
576#6103—21no—
577#6103—21no—
578#6103—21no—
579#6103—21no—
580#6103—21no—
581#6103—21no—
582#6103—21no—
583#6103—21no—
584#6103—21no—
585#6103—21no—
586#6103—21no—
587#6103—21no—
588#6103—21no—
589#6103—21no—
590#6103—21no—
591#6103—21no—
592#6103C2×D411yescharacteristic
593#6103C2×D411yescharacteristic
594#6103C2×D411yescharacteristic
595#6103C2×D411yescharacteristic
596#6103C2×D411yescharacteristic
597#6103C2×D411yescharacteristic
598#6103C2×D411yescharacteristic
599#6103C2×D411yescharacteristic
600C4⋊Dic13—21no—
601C4⋊Dic13—21no—
602C4⋊Dic13—21no—
603C4⋊Dic13—21no—
604C4⋊Dic13—21no—
605C4⋊Dic13—21no—
606C4⋊Dic13—21no—
607C4⋊Dic13—21no—
608C4⋊Dic13—21no—
609C4⋊Dic13C2411yescharacteristic
610C4⋊Dic13C2411yescharacteristic
611C4⋊Dic13C2411yescharacteristic
612C4⋊Dic13C2411yescharacteristic
613C4⋊Dic13C2411yescharacteristic
614C4⋊Dic13C2411yescharacteristic
615#6101—21no—
616#6101—21no—
617#6101—21no—
618#6101—21no—
619#6101—21no—
620#6101—21no—
621#6101—21no—
622#6101—21no—
623#6101—21no—
624#6101—21no—
625#6101—21no—
626#6101—21no—
627#6101—21no—
628#6101—21no—
629#6101—21no—
630#6101—21no—
631#6101—21no—
632#6101—21no—
633#6101—21no—
634#6101—21no—
635#6101C2×D411yescharacteristic
636#6101C2×D411yescharacteristic
637#6101C2×D411yescharacteristic
638#6101C2×D411yescharacteristic
639#6101C2×D411yescharacteristic
640#6101C2×D411yescharacteristic
641#6101C2×D411yescharacteristic
642#6101C2×D411yescharacteristic
643C4×Dic13—21no—
644C4×Dic13—21no—
645C4×Dic13—21no—
646C4×Dic13—21no—
647C4×Dic13—21no—
648C4×Dic13—21no—
649C4×Dic13—21no—
650C4×Dic13—21no—
651C4×Dic13C2×D411yescharacteristic
652C4×Dic13C2×D411yescharacteristic
653C4×Dic13C2411yescharacteristic
654C4×Dic13C2411yescharacteristic
655C2×#1055C2411yescharacteristic
656C2×#1055C2411yescharacteristic
657C2×#1055C2411yescharacteristic
658C2×#1055C2411yescharacteristic
659#6094—22no—
660#6094—22no—
661C8×D13—22no—
662C8×D13—22no—
663#3494—131no—
664#3458—131no—
665#3244—131no—
666#3244—131no—
667#3243—131no—
668#3243—131no—
669#3241—131no—
670#3241—131no—
671#3241—131no—
672#3241—131no—
673#3240—131no—
674#3240—131no—
675#3235—131no—
676#3235—131no—
677#3233—131no—
678#3233D1311yescharacteristic, complemented
679#3228—131no—
680#3228—131no—
681#3164—131no—
682#3163—131no—
683#3136—131no—
684#3136—131no—
685#3094—131no—
686#3093—131no—
687#3091—131no—
688C2×#482—131no—
689#3084—131no—
690#3083—131no—
691#3081—131no—
692#3081—131no—
693#2924—131no—
694C23×C13—21no—
695C23×C13C22×D411yescharacteristic
696C22×D13—22no—
697C22×D13—21no—
698C22×D13—21no—
699C22×D13—41no—
700C22×D13—41no—
701C22×D13—42no—
702C22×D13—81no—
703C22×D13—81no—
704C22×D13C22×D411yescharacteristic
705C22×D13C22×D411yescharacteristic
706Q8×C13—21no—
707Q8×C13—21no—
708Q8×C13—81no—
709Q8×C13—81no—
710D4×C13—21no—
711D4×C13—21no—
712D4×C13—42no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—41no—
723C2×C4×C13—41no—
724C2×C4×C13—81no—
725C2×C4×C13C22×D411yescharacteristic
726C2×C4×C13C22×D411yescharacteristic
727C2×C4×C13C22×D411yescharacteristic
728C2×C4×C13C22×D411yescharacteristic
729C2×C4×C13C22×D411yescharacteristic
730C2×C4×C13C2511yescharacteristic
731C22⋊D13—42no—
732C22⋊D13—42no—
733C22⋊D13—42no—
734C22⋊D13—81no—
735C22⋊D13—81no—
736C22⋊D13—81no—
737C2×Dic13—22no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—41no—
745C2×Dic13—41no—
746C2×Dic13—81no—
747C2×Dic13C22×D411yescharacteristic
748C2×Dic13C22×D411yescharacteristic
749C2×Dic13C22×D411yescharacteristic
750C2×Dic13C22×D411yescharacteristic
751C2×Dic13C22×D411yescharacteristic
752C2×Dic13C22×D411yescharacteristic
753D52—21no—
754D52—21no—
755D52—21no—
756D52—21no—
757D52—42no—
758D52—81no—
759D52—81no—
760D52—81no—
761D52—81no—
762C4×D13—22no—
763C4×D13—21no—
764C4×D13—21no—
765C4×D13—22no—
766C4×D13—42no—
767C4×D13—81no—
768C4×D13—81no—
769C4×D13—81no—
770C4×D13—81no—
771C4×D13—81no—
772C4×D13—81no—
773C4×D13—81no—
774C4×D13—81no—
775C4×D13—81no—
776C4×D132−1+412yes—
777C4×D132−1+412yes—
778Dic26—81no—
779Dic26—81no—
780Dic26—81no—
781Dic26—81no—
782Dic26—81no—
783Dic26—81no—
784Dic26—81no—
785Dic26—81no—
786C8×C13—21no—
787C8×C13—21no—
788C8×C13—21no—
789C8×C13—21no—
790#1055—21no—
791#1055—21no—
792#1055—21no—
793#1055—21no—
794#555—261no—
795#553—261no—
796#553—261no—
797#551—261no—
798#551—261no—
799#547—261no—
800#546—261no—
801#546—261no—
802#544—131no—
803#544—131no—
804#544—131no—
805#544—131no—
806#544—131no—
807#544—131no—
808#544—131no—
809#544—131no—
810#544—131no—
811#544—261no—
812#544—261no—
813#543—261no—
814#543—261no—
815#542—131no—
816#542—131no—
817#540—131no—
818#540—131no—
819#535—131no—
820#533—131no—
821#533—131no—
822#533—131no—
823#533—261no—
824#533—261no—
825#533—261no—
826#533—261no—
827#533C2×D1311yescharacteristic, complemented
828#532—131no—
829#532—131no—
830#529—131no—
831#529C2×D1311yescharacteristic
832#525—131no—
833C2×#121—131no—
834#520—131no—
835#518—131no—
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839#501—131no—
840#501—131no—
841#501—131no—
842#501—131no—
843#501—131no—
844#501—131no—
845#501—131no—
846#501—131no—
847#500—131no—
848#500—131no—
849#499—131no—
850#499—131no—
851#499C2×D1311yescharacteristic, complemented
852#499C2×D1311yescharacteristic, complemented
853#498—131no—
854#498—131no—
855#490—131no—
856#490—131no—
857#490—131no—
858#490—131no—
859#489—131no—
860#489—131no—
861#489—131no—
862#489—131no—
863#488—131no—
864#488—131no—
865#488C2×D1311yescharacteristic, complemented
866#488C2×D1311yescharacteristic, complemented
867#486—131no—
868#486—131no—
869#486—131no—
870#486—131no—
871#485—131no—
872#485—131no—
873#485—131no—
874#485—131no—
875#485C2×D1311yescharacteristic, complemented
876#485C2×D1311yescharacteristic, complemented
877#484—131no—
878#483—131no—
879#482—131no—
880#482—131no—
881#482—131no—
882#482—131no—
883#482—131no—
884#482—131no—
885#482—131no—
886#482—131no—
887#482—131no—
888#482—131no—
889#482—131no—
890#482—131no—
891#482—131no—
892#482—131no—
893#482—131no—
894#482—131no—
895#482C2×D1311yescharacteristic
896#482C2×D1311yescharacteristic
897#481—131no—
898#481—131no—
899#481—131no—
900#480—131no—
901#480—131no—
902#480—131no—
903#479—131no—
904#479—131no—
905#479—131no—
906#479—131no—
907#478—131no—
908#478—131no—
909#478—131no—
910#478—131no—
911#478—131no—
912#478—131no—
913#478—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#477—131no—
920#477C2×D1311yescharacteristic, complemented
921#476—131no—
922#476—131no—
923#476—131no—
924#476—131no—
925#476—131no—
926#476C2×D1311yescharacteristic, complemented
927#475—131no—
928#475C2×D1311yescharacteristic, complemented
929#474—131no—
930#474—131no—
931#474—131no—
932#474—131no—
933#474—131no—
934#474C2×D1311yescharacteristic, complemented
935#433—131no—
936#433—131no—
937#433—131no—
938#433—131no—
939#432—131no—
940#432—131no—
941#431—131no—
942#431C2×D1311yescharacteristic, complemented
943#428—131no—
944#428—131no—
945#428—131no—
946#428—131no—
947#427—131no—
948#427—131no—
949C2×#107—131no—
950C2×#106—131no—
951#424—131no—
952#424—131no—
953#418—131no—
954#418—131no—
955#417—131no—
956#417—131no—
957#416—131no—
958#416—131no—
959C2×#102—131no—
960C2×#102—131no—
961#407—131no—
962C2×C22⋊C8—131no—
963#405—131no—
964#405—131no—
965C22×C13—21no—
966C22×C13—21no—
967C22×C13—21no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13C23×D411yescharacteristic
972C2×D13—21no—
973C2×D13—21no—
974C2×D13—21no—
975C2×D13—21no—
976C2×D13—21no—
977C2×D13—41no—
978C2×D13—41no—
979C2×D13—41no—
980C2×D13—41no—
981C2×D13—41no—
982C2×D13—41no—
983C2×D13—82no—
984C2×D13—162no—
985C2×D13#53612yes—
986C4×C13—21no—
987C4×C13—21no—
988C4×C13—21no—
989C4×C13—21no—
990C4×C13—21no—
991C4×C13—41no—
992C4×C13—41no—
993C4×C13—41no—
994C4×C13—41no—
995C4×C13—41no—
996C4×C13—41no—
997C4×C13—41no—
998C4×C13C2×2−1+411yescharacteristic
999C4×C13C2×2−1+411yescharacteristic
1000Dic13—21no—
1001Dic13—21no—
1002Dic13—21no—
1003Dic13—21no—
1004Dic13—21no—
1005Dic13—41no—
1006Dic13—41no—
1007Dic13—41no—
1008Dic13—41no—
1009Dic13—41no—
1010Dic13—41no—
1011Dic13#53612yes—
1012C2×#41—131no—
1013C2×#41—261no—
1014C2×#41—261no—
1015C22×D4—131no—
1016C22×D4—261no—
1017C23×C4—131no—
1018C2×M16—131no—
1019C2×M16—131no—
1020C22×C8—131no—
1021C22×C8—131no—
1022C4⋊Q8—131no—
1023C4⋊Q8—131no—
1024C4⋊Q8—131no—
1025C4⋊Q8—131no—
1026C4⋊Q8—131no—
1027C4⋊Q8—131no—
1028C4⋊Q8—131no—
1029C4⋊Q8—131no—
1030C4⋊Q8—261no—
1031C4⋊Q8—261no—
1032C4⋊Q8—261no—
1033C4⋊Q8—261no—
1034C4⋊Q8—261no—
1035C4⋊Q8—261no—
1036C4⋊Q8—261no—
1037C4⋊Q8—261no—
1038C4⋊Q8—261no—
1039C4⋊Q8C22×D1311yescharacteristic
1040C4⋊Q8C22×D1311yescharacteristic
1041#127—131no—
1042#127—131no—
1043#126—21no—
1044#126—261no—
1045#126—261no—
1046#126—261no—
1047#125—131no—
1048#125—131no—
1049#125—131no—
1050#125—131no—
1051#125—131no—
1052#125—131no—
1053#125—131no—
1054#125—261no—
1055#125—261no—
1056#125—261no—
1057#125—261no—
1058#125—261no—
1059#125—261no—
1060#125—261no—
1061#125—261no—
1062#125—261no—
1063#125C22×D1311yescharacteristic
1064#125C22×D1311yescharacteristic
1065#125C22×D1311yescharacteristic
1066#124—131no—
1067#124—261no—
1068#124—261no—
1069#124—261no—
1070#124—261no—
1071#124C22×D1311yescharacteristic
1072#123—21no—
1073#123—261no—
1074#123—261no—
1075#123—261no—
1076#123—261no—
1077#123—261no—
1078#123—261no—
1079#123—261no—
1080#123—261no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—131no—
1084C22⋊Q8—261no—
1085C22⋊Q8—261no—
1086C22⋊Q8—261no—
1087C22⋊Q8—261no—
1088C22⋊Q8—261no—
1089C22⋊Q8—261no—
1090C22⋊Q8—261no—
1091C22⋊Q8—261no—
1092C22⋊Q8—261no—
1093C22⋊Q8—261no—
1094C22⋊Q8—261no—
1095C22⋊Q8—261no—
1096C22⋊Q8—261no—
1097C22⋊Q8—261no—
1098C22⋊Q8—261no—
1099C22⋊Q8—261no—
1100C22⋊Q8—261no—
1101C22⋊Q8—261no—
1102C22⋊Q8—261no—
1103C22⋊Q8—261no—
1104C22⋊Q8—261no—
1105C22⋊Q8—261no—
1106C22⋊Q8—261no—
1107C22⋊Q8—261no—
1108C22⋊Q8—261no—
1109C22⋊Q8—261no—
1110C22⋊Q8C22×D1311yescharacteristic
1111#121—131no—
1112#121—131no—
1113#121—131no—
1114#121—131no—
1115#121—131no—
1116#121—261no—
1117#121—261no—
1118#121—261no—
1119#121—261no—
1120#121—261no—
1121#121—261no—
1122#121—261no—
1123#121—261no—
1124#121—261no—
1125#121—261no—
1126#121C22×D1311yescharacteristic
1127#120—261no—
1128#120—261no—
1129#120—261no—
1130C4×Q8—21no—
1131C4×Q8—21no—
1132C4×Q8—131no—
1133C4×Q8—261no—
1134C4×Q8—261no—
1135C4×Q8—261no—
1136C4×Q8—261no—
1137C4×Q8—261no—
1138C4×Q8—261no—
1139C4×Q8C22×D1311yescharacteristic
1140C4×D4—21no—
1141C4×D4—131no—
1142C4×D4—131no—
1143C4×D4—131no—
1144C4×D4—131no—
1145C4×D4—131no—
1146C4×D4—261no—
1147C4×D4—261no—
1148C4×D4—261no—
1149C4×D4—261no—
1150C4×D4—261no—
1151C4×D4—261no—
1152C4×D4—261no—
1153C4×D4—261no—
1154C4×D4—261no—
1155C4×D4C22×D1311yescharacteristic
1156#117—21no—
1157#117—131no—
1158#117—131no—
1159#117—131no—
1160#117—131no—
1161#117—131no—
1162#117—131no—
1163#117—131no—
1164#117—131no—
1165#117—131no—
1166#117—131no—
1167#117—131no—
1168#117—131no—
1169#117—131no—
1170#117—131no—
1171#117—131no—
1172#117—261no—
1173#117—261no—
1174#117—261no—
1175#117—261no—
1176#117—261no—
1177#117—261no—
1178#117C22×D1311yescharacteristic
1179#117C22×D1311yescharacteristic
1180C2×C4⋊C4—131no—
1181C2×C4⋊C4—131no—
1182C2×C4⋊C4—131no—
1183C2×C4⋊C4—131no—
1184C2×C4⋊C4—131no—
1185C2×C4⋊C4—131no—
1186C2×C4⋊C4—131no—
1187C2×C4⋊C4—261no—
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—261no—
1191C2×C22⋊C4—261no—
1192C2×C22⋊C4—261no—
1193C2×C22⋊C4—261no—
1194C2×C22⋊C4—261no—
1195C2×C42—131no—
1196C2×C42—261no—
1197C2×C42—261no—
1198C2×C42C22×D1311yescharacteristic
1199#107—131no—
1200#107—131no—
1201#107—131no—
1202#107—131no—
1203#107—131no—
1204#107—131no—
1205#107—131no—
1206#107—131no—
1207#107—131no—
1208#107—131no—
1209#107—131no—
1210#107—131no—
1211#107C22×D1311yescharacteristic
1212#107C22×D1311yescharacteristic
1213#107C22×D1311yescharacteristic
1214#107C22×D1311yescharacteristic
1215#106—131no—
1216#106—131no—
1217#106—131no—
1218#106—131no—
1219#106—131no—
1220#106—131no—
1221#106—131no—
1222#106—131no—
1223#106—131no—
1224#106—131no—
1225#106—131no—
1226#106—131no—
1227#106C22×D1311yescharacteristic
1228#106C22×D1311yescharacteristic
1229#106C22×D1311yescharacteristic
1230#106C22×D1311yescharacteristic
1231C4⋊C8—131no—
1232C4⋊C8—131no—
1233C4⋊C8—131no—
1234C4⋊C8—131no—
1235C4⋊C8—131no—
1236C4⋊C8—131no—
1237C4⋊C8C22×D1311yescharacteristic
1238C4⋊C8C22×D1311yescharacteristic
1239#103—131no—
1240#103—131no—
1241#103—131no—
1242#103—131no—
1243#103C22×D1311yescharacteristic
1244#103C22×D1311yescharacteristic
1245#103C22×D1311yescharacteristic
1246#103C22×D1311yescharacteristic
1247#102—131no—
1248#102—131no—
1249#102—131no—
1250#102—131no—
1251#102—131no—
1252#102—131no—
1253#102—131no—
1254#102—131no—
1255#102—131no—
1256#102—131no—
1257#102—131no—
1258#102—131no—
1259#102—131no—
1260#102—131no—
1261#102—131no—
1262#102—131no—
1263#102—131no—
1264#102—131no—
1265#102—131no—
1266#102—131no—
1267#102C22×D1311yescharacteristic
1268#102C22×D1311yescharacteristic
1269#102C22×D1311yescharacteristic
1270#102C22×D1311yescharacteristic
1271C22⋊C8—131no—
1272C22⋊C8—131no—
1273C22⋊C8—131no—
1274C22⋊C8—131no—
1275C22⋊C8—131no—
1276C22⋊C8—131no—
1277C22⋊C8C22×D1311yescharacteristic
1278C22⋊C8C22×D1311yescharacteristic
1279#97—131no—
1280#97—131no—
1281#97—131no—
1282#97—131no—
1283C4×C8—131no—
1284C4×C8—131no—
1285C4×C8C22×D1311yescharacteristic
1286C4×C8C22×D1311yescharacteristic
1287C2×C13—41no—
1288C2×C13—81no—
1289C2×C13C2×#53611yescharacteristic
1290C2×C13#358411yescharacteristic
1291C2×C13#358511yescharacteristic
1292D13—22no—
1293D13—41no—
1294D13—81no—
1295D13—81no—
1296C24—131no—
1297C24—261no—
1298#41—262no—
1299#41—262no—
1300#41—1042no—
1301#41—1042no—
1302C2×Q8—21no—
1303C2×Q8—21no—
1304C2×Q8—261no—
1305C2×Q8—261no—
1306C2×Q8—261no—
1307C2×Q8—261no—
1308C2×Q8—261no—
1309C2×Q8—261no—
1310C2×Q8—261no—
1311C2×Q8—261no—
1312C2×Q8C23×D1311yescharacteristic
1313C2×D4—21no—
1314C2×D4—131no—
1315C2×D4—131no—
1316C2×D4—261no—
1317C2×D4—261no—
1318C2×D4—261no—
1319C2×D4—262no—
1320C2×D4—262no—
1321C2×D4—261no—
1322C2×D4—261no—
1323C2×D4—261no—
1324C2×D4—261no—
1325C2×D4—261no—
1326C2×D4—261no—
1327C2×D4—261no—
1328C2×D4—261no—
1329C2×D4—1042no—
1330C2×D4C23×D1311yescharacteristic
1331C22×C4—21no—
1332C22×C4—131no—
1333C22×C4—131no—
1334C22×C4—131no—
1335C22×C4—131no—
1336C22×C4—131no—
1337C22×C4—131no—
1338C22×C4—131no—
1339C22×C4—262no—
1340C22×C4—262no—
1341C22×C4—261no—
1342C22×C4—261no—
1343C22×C4—261no—
1344C22×C4—261no—
1345C22×C4—261no—
1346C22×C4—261no—
1347C22×C4—261no—
1348C22×C4—261no—
1349C22×C4—261no—
1350C22×C4—261no—
1351C22×C4—261no—
1352C22×C4D4×D1311yescharacteristic
1353C22×C4D4×D1311yescharacteristic
1354C22×C4C23×D1311yescharacteristic
1355M16—262no—
1356M16—262no—
1357C2×C8—131no—
1358C2×C8—131no—
1359C2×C8—131no—
1360C2×C8—131no—
1361C2×C8—262no—
1362C2×C8—262no—
1363C2×C8C23×D1311yescharacteristic
1364C2×C8C23×D1311yescharacteristic
1365C2×C8C23×D1311yescharacteristic
1366C2×C8C23×D1311yescharacteristic
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—131no—
1378C4⋊C4—131no—
1379C4⋊C4—131no—
1380C4⋊C4—131no—
1381C4⋊C4—131no—
1382C4⋊C4—131no—
1383C4⋊C4—131no—
1384C4⋊C4—131no—
1385C4⋊C4—131no—
1386C4⋊C4—131no—
1387C4⋊C4—131no—
1388C4⋊C4—131no—
1389C4⋊C4—131no—
1390C4⋊C4—131no—
1391C4⋊C4—261no—
1392C4⋊C4—261no—
1393C4⋊C4—261no—
1394C4⋊C4—261no—
1395C4⋊C4—261no—
1396C4⋊C4—261no—
1397C4⋊C4—261no—
1398C4⋊C4—261no—
1399C4⋊C4—261no—
1400C4⋊C4—261no—
1401C4⋊C4—261no—
1402C4⋊C4—261no—
1403C4⋊C4—261no—
1404C4⋊C4—261no—
1405C4⋊C4—261no—
1406C4⋊C4—261no—
1407C4⋊C4—261no—
1408C4⋊C4—261no—
1409C4⋊C4—261no—
1410C4⋊C4—261no—
1411C4⋊C4—261no—
1412C4⋊C4—261no—
1413C4⋊C4—261no—
1414C4⋊C4—261no—
1415C4⋊C4—261no—
1416C4⋊C4—261no—
1417C4⋊C4—261no—
1418C4⋊C4—261no—
1419C4⋊C4—261no—
1420C4⋊C4C23×D1311yescharacteristic
1421C4⋊C4C23×D1311yescharacteristic
1422C4⋊C4C23×D1311yescharacteristic
1423C4⋊C4C23×D1311yescharacteristic
1424C4⋊C4C23×D1311yescharacteristic
1425C4⋊C4C23×D1311yescharacteristic
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—131no—
1434C22⋊C4—131no—
1435C22⋊C4—131no—
1436C22⋊C4—131no—
1437C22⋊C4—131no—
1438C22⋊C4—131no—
1439C22⋊C4—131no—
1440C22⋊C4—131no—
1441C22⋊C4—261no—
1442C22⋊C4—261no—
1443C22⋊C4—261no—
1444C22⋊C4—261no—
1445C22⋊C4—261no—
1446C22⋊C4—261no—
1447C22⋊C4—261no—
1448C22⋊C4—261no—
1449C22⋊C4—261no—
1450C22⋊C4—261no—
1451C22⋊C4—261no—
1452C22⋊C4—261no—
1453C22⋊C4—261no—
1454C22⋊C4—261no—
1455C22⋊C4—261no—
1456C22⋊C4—261no—
1457C22⋊C4—261no—
1458C22⋊C4—261no—
1459C22⋊C4—261no—
1460C22⋊C4—261no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—131no—
1465C42—131no—
1466C42—131no—
1467C42—131no—
1468C42—261no—
1469C42—261no—
1470C42—261no—
1471C42—261no—
1472C42—261no—
1473C42—261no—
1474C42—261no—
1475C42—261no—
1476C42D4×D1311yescharacteristic
1477C42D4×D1311yescharacteristic
1478C42C23×D1311yescharacteristic
1479C42C23×D1311yescharacteristic
1480C13#6087511yescharacteristic, complemented, Sylow
1481C23—21no—
1482C23—131no—
1483C23—131no—
1484C23—262no—
1485C23—261no—
1486C23—261no—
1487C23—521no—
1488C23—521no—
1489C23—522no—
1490C23—1041no—
1491C23—1041no—
1492C23C2×D4×D1311yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—81no—
1496Q8—81no—
1497Q8—1041no—
1498Q8—1041no—
1499Q8—1041no—
1500Q8—1041no—
1501Q8—1041no—
1502Q8—1041no—
1503Q8—1041no—
1504Q8—1041no—
1505D4—21no—
1506D4—21no—
1507D4—42no—
1508D4—261no—
1509D4—261no—
1510D4—261no—
1511D4—261no—
1512D4—522no—
1513D4—522no—
1514D4—522no—
1515D4—522no—
1516D4—1041no—
1517D4—1041no—
1518D4—1041no—
1519D4—1041no—
1520D4—1041no—
1521D4—1041no—
1522D4—1041no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—81no—
1535C2×C4—131no—
1536C2×C4—132no—
1537C2×C4—132no—
1538C2×C4—131no—
1539C2×C4—131no—
1540C2×C4—131no—
1541C2×C4—131no—
1542C2×C4—131no—
1543C2×C4—262no—
1544C2×C4—262no—
1545C2×C4—262no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—261no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—522no—
1555C2×C4—521no—
1556C2×C4—521no—
1557C2×C4—1041no—
1558C2×C4—1041no—
1559C2×C4—1041no—
1560C2×C4—1041no—
1561C2×C4—1041no—
1562C2×C4—1041no—
1563C2×C4—1041no—
1564C2×C4—1041no—
1565C2×C4—1041no—
1566C2×C4—1041no—
1567C2×C4C2×D4×D1311yescharacteristic
1568C2×C4C2×D4×D1311yescharacteristic
1569C2×C4C2×D4×D1311yescharacteristic
1570C2×C4C2×D4×D1311yescharacteristic
1571C2×C4C2×D4×D1311yescharacteristic
1572C2×C4C24×D1311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—261no—
1578C8—261no—
1579C8—261no—
1580C8—261no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—132no—
1588C22—261no—
1589C22—261no—
1590C22—261no—
1591C22—261no—
1592C22—261no—
1593C22—521no—
1594C22—521no—
1595C22—521no—
1596C22—521no—
1597C22—521no—
1598C22—521no—
1599C22—1042no—
1600C22—2082no—
1601C22C22×D4×D1311yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—132no—
1615C4—261no—
1616C4—261no—
1617C4—261no—
1618C4—261no—
1619C4—261no—
1620C4—521no—
1621C4—521no—
1622C4—521no—
1623C4—521no—
1624C4—521no—
1625C4—521no—
1626C4D13×2−1+411yescharacteristic
1627C4D13×2−1+411yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—262no—
1631C2—521no—
1632C2—1041no—
1633C2—1041no—
1634C2D13×#53611yescharacteristic
1635C2#1312960511yescharacteristic
1636C2#1312961311yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3233C2
socleC22×C13C23×D4
prime radical#13128559C2
hypercenter#3233D13
hypocenterC13#60875
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3233

Complements

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

NH ≅ G/Ntype
2. #13128239C2semidirect
3. #13126139C2semidirect
4. #13126127C2semidirect
5. #13126124C2semidirect
6. #13126112C2semidirect
7. #13126096C2semidirect
8. #13126092C2semidirect
9. #13126092C2semidirect
10. #13126088C2semidirect
11. #13126080C2semidirect
12. #13126072C2semidirect
13. #13126034C2semidirect
14. #13126031C2semidirect
15. #13126018C2semidirect
16. #13125974C2semidirect
17. #13125970C2semidirect
18. #13125373C2semidirect
19. #13125365C2semidirect
20. #13125189C2semidirect
21. #13125189C2semidirect
22. #13124775C2semidirect
23. #13124768C2semidirect
24. #13124754C2semidirect
25. D13×#482C2semidirect
26. #13124695C2semidirect
27. #13124684C2semidirect
28. #13124662C2semidirect
29. #13124660C2semidirect
30. #13123489C2semidirect
31. C13×#3233C2semidirect
32. C13×#533C22semidirect
36. #11719434C22semidirect
37. #11719434C22semidirect
44. #11719394C22semidirect
45. #11719394C22semidirect
72. #11719222C22semidirect
73. #11719222C22semidirect
76. #11719175C22semidirect
77. C13×#499C22semidirect
78. C13×#499C22semidirect
79. C13×#488C22semidirect
80. C13×#488C22semidirect
81. C13×#485C22semidirect
82. C13×#485C22semidirect
85. C13×#477C22semidirect
86. C13×#476C22semidirect
87. C13×#475C22semidirect
88. C13×#474C22semidirect
89. C13×#431C22semidirect
90. #11718748C22semidirect
91. #11718748C22semidirect
92. #11718745C22semidirect
93. #11718745C22semidirect
94. #11718728C22semidirect
95. #11718728C22semidirect
96. #11718726C22semidirect
97. #11718726C22semidirect
98. #11718726C22semidirect
99. #11718726C22semidirect
100. #11718716C22semidirect
101. #11718716C22semidirect
102. #11718706C22semidirect
103. #11718706C22semidirect
106. #11718683C22semidirect
107. #11718683C22semidirect
108. #11718670C22semidirect
109. #11718670C22semidirect
112. #11718664C22semidirect
113. #11718664C22semidirect
114. #11718587C22semidirect
115. #11718552C22semidirect
116. #11718552C22semidirect
117. #11718551C22semidirect
118. #11718551C22semidirect
120. #11718546C22semidirect
122. #11718543C22semidirect
127. #11718539C22semidirect
128. #11718537C22semidirect
129. #11718537C22semidirect
130. #11718535C22semidirect
131. #11718532C22semidirect
132. #11718532C22semidirect
133. #11718531C22semidirect
134. #11718531C22semidirect
136. #11718527C22semidirect
138. #11718524C22semidirect
143. #11718519C22semidirect
144. #11718517C22semidirect
145. #11718517C22semidirect
146. #11718516C22semidirect
147. #11718508C22semidirect
148. #11718508C22semidirect
149. #11718508C22semidirect
150. #11718508C22semidirect
151. #11718501C22semidirect
152. #11718501C22semidirect
155. #11718476C22semidirect
156. #11718475C22semidirect
157. #11718470C22semidirect
158. #11718466C22semidirect
163. #11718461C22semidirect
164. #11718461C22semidirect
165. #11718460C22semidirect
166. #11718457C22semidirect
167. #11718456C22semidirect
168. #11718456C22semidirect
169. #11718455C22semidirect
170. #11718452C22semidirect
179. #11718427C22semidirect
180. #11718425C22semidirect
181. #11718425C22semidirect
182. #11718424C22semidirect
183. #11718422C22semidirect
184. #11718421C22semidirect
185. #11718421C22semidirect
186. #11718420C22semidirect
189. #11718398C22semidirect
190. #11718398C22semidirect
193. #11718380C22semidirect
194. #11718379C22semidirect
195. #11718355C22semidirect
196. #11718355C22semidirect
197. #11718351C22semidirect
198. #11718351C22semidirect
201. #11718343C22semidirect
202. #11718341C22semidirect
678. #3233D13semidirect
827. #533C2×D13semidirect
851. #499C2×D13semidirect
852. #499C2×D13semidirect
865. #488C2×D13semidirect
866. #488C2×D13semidirect
875. #485C2×D13semidirect
876. #485C2×D13semidirect
920. #477C2×D13semidirect
926. #476C2×D13semidirect
928. #475C2×D13semidirect
934. #474C2×D13semidirect
942. #431C2×D13semidirect
1480. C13#60875semidirect

Maximal subgroups

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

subgroupindex
#131285592
#131282392
#131261392
#131261272
#131261242
#131261122
#131260962
#131260922
#131260882
#131260802
#131260722
#131260342
#131260312
#131260182
#131259742
#131259702
#131253732
#131253652
#131251892
#131247752
#131247682
#131247542
D13×#4822
#131246952
#131246842
#131246622
#131246602
#131234892
C13×#32332
#6087513