Finite Group Databasebeta

← #16735506

Subgroups — #16735506

Order 3328.

1742 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#13128708C211yesmaximal, characteristic
2#13128659C211yesmaximal, characteristic, complemented
3#13126092C211yesmaximal, characteristic, complemented
4#13126091C211yesmaximal, characteristic, complemented
5#13126090C211yesmaximal, characteristic, complemented
6#13126089C211yesmaximal, characteristic, complemented
7#13126084C211yesmaximal, characteristic, complemented
8#13126083C211yesmaximal, characteristic, complemented
9#13126082C211yesmaximal, characteristic, complemented
10#13126033C211yesmaximal, characteristic, complemented
11#13126032C211yesmaximal, characteristic, complemented
12#13126031C211yesmaximal, characteristic, complemented
13#13126031C211yesmaximal, characteristic, complemented
14#13126025C211yesmaximal, characteristic, complemented
15#13126024C211yesmaximal, characteristic, complemented
16#13126024C211yesmaximal, characteristic, complemented
17#13126023C211yesmaximal, characteristic, complemented
18#13125384C211yesmaximal, characteristic, complemented
19#13125357C211yesmaximal, characteristic, complemented
20#13125207C211yesmaximal, characteristic, complemented
21D13×#490C211yesmaximal, characteristic, complemented
22#13124793C211yesmaximal, characteristic, complemented
23#13124791C211yesmaximal, characteristic, complemented
24#13124789C211yesmaximal, characteristic, complemented
25#13124787C211yesmaximal, characteristic, complemented
26#13124666C211yesmaximal, characteristic, complemented
27#13124664C211yesmaximal, characteristic, complemented
28#13124662C211yesmaximal, characteristic, complemented
29#13124660C211yesmaximal, characteristic, complemented
30#13123484C211yesmaximal, characteristic, complemented
31C13×#3241C211yesmaximal, characteristic, complemented
32C13×#544C2211yescharacteristic, complemented
33C13×#540C2211yescharacteristic
34#11719435—21no—
35#11719434C2211yescharacteristic
36#11719434C2211yescharacteristic, complemented
37#11719433C2211yescharacteristic
38#11719433C2211yescharacteristic, complemented
39#11719426—21no—
40#11719424C2211yescharacteristic
41D13×#127C2211yescharacteristic
42#11719403C2211yescharacteristic
43#11719395—21no—
44#11719394C2211yescharacteristic
45#11719394C2211yescharacteristic, complemented
46#11719393C2211yescharacteristic
47D13×#125C2211yescharacteristic
48D13×#125C2211yescharacteristic, complemented
49#11719390—21no—
50#11719369—21no—
51#11719369—21no—
52#11719359—21no—
53#11719359—21no—
54#11719341—21no—
55#11719341—21no—
56#11719340—21no—
57#11719340—21no—
58#11719315—21no—
59#11719315—21no—
60#11719312C2211yescharacteristic
61#11719312C2211yescharacteristic
62#11719304—21no—
63#11719304—21no—
64#11719301C2211yescharacteristic
65#11719301C2211yescharacteristic
66#11719253C2211yescharacteristic
67#11719253C2211yescharacteristic
68#11719250C2211yescharacteristic
69#11719250C2211yescharacteristic
70#11719240C2211yescharacteristic
71#11719228C2211yescharacteristic
72#11719227C2211yescharacteristic
73#11719224C2211yescharacteristic, complemented
74#11719222C2211yescharacteristic, complemented
75#11719209C2211yescharacteristic
76C2×#88144C2211yescharacteristic, complemented
77C13×#501C2211yescharacteristic, complemented
78C13×#499C2211yescharacteristic, complemented
79C13×#490C2211yescharacteristic
80C13×#486C2211yescharacteristic
81C13×#482C2211yescharacteristic, complemented
82C13×#482C2211yescharacteristic, complemented
83C13×#481C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic, complemented
85C13×#478C2211yescharacteristic, complemented
86C13×#478C2211yescharacteristic, complemented
87C13×#476C2211yescharacteristic, complemented
88C13×#474C2211yescharacteristic, complemented
89C13×#433C2211yescharacteristic, complemented
90#11718749C2211yescharacteristic
91#11718748C2211yescharacteristic, complemented
92#11718745C2211yescharacteristic, complemented
93#11718741C2211yescharacteristic, complemented
94#11718732C2211yescharacteristic
95#11718731C2211yescharacteristic
96#11718728C2211yescharacteristic
97#11718727C2211yescharacteristic, complemented
98#11718727C2211yescharacteristic, complemented
99#11718726C2211yescharacteristic, complemented
100#11718725C2211yescharacteristic, complemented
101#11718725C2211yescharacteristic, complemented
102#11718696C2211yescharacteristic, complemented
103#11718696C2211yescharacteristic, complemented
104#11718695C2211yescharacteristic, complemented
105#11718694C2211yescharacteristic, complemented
106#11718670C2211yescharacteristic, complemented
107#11718670C2211yescharacteristic, complemented
108#11718669C2211yescharacteristic, complemented
109#11718668C2211yescharacteristic, complemented
110#11718664C2211yescharacteristic, complemented
111#11718664C2211yescharacteristic, complemented
112#11718661C2211yescharacteristic, complemented
113#11718629C2211yescharacteristic, complemented
114#11718628C2211yescharacteristic, complemented
115#11718552C2211yescharacteristic, complemented
116#11718552C2211yescharacteristic, complemented
117#11718551C2211yescharacteristic, complemented
118#11718551C2211yescharacteristic, complemented
119#11718546C2211yescharacteristic, complemented
120#11718546C2211yescharacteristic, complemented
121#11718543C2211yescharacteristic, complemented
122#11718543C2211yescharacteristic, complemented
123#11718542C2211yescharacteristic
124#11718542C2211yescharacteristic
125#11718541C2211yescharacteristic
126#11718541C2211yescharacteristic
127#11718537C2211yescharacteristic, complemented
128#11718537C2211yescharacteristic, complemented
129#11718537C2211yescharacteristic, complemented
130#11718537C2211yescharacteristic, complemented
131#11718532C2211yescharacteristic, complemented
132#11718532C2211yescharacteristic, complemented
133#11718531C2211yescharacteristic, complemented
134#11718531C2211yescharacteristic, complemented
135#11718527C2211yescharacteristic, complemented
136#11718527C2211yescharacteristic, complemented
137#11718524C2211yescharacteristic, complemented
138#11718524C2211yescharacteristic, complemented
139#11718522C2211yescharacteristic
140#11718522C2211yescharacteristic
141#11718521C2211yescharacteristic
142#11718521C2211yescharacteristic
143#11718517C2211yescharacteristic, complemented
144#11718517C2211yescharacteristic, complemented
145#11718517C2211yescharacteristic, complemented
146#11718517C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718508C2211yescharacteristic, complemented
149#11718507C2211yescharacteristic, complemented
150#11718503C2211yescharacteristic, complemented
151#11718500C2211yescharacteristic
152#11718500C2211yescharacteristic
153#11718496C2211yescharacteristic, complemented
154#11718496C2211yescharacteristic, complemented
155#11718445C2211yescharacteristic, complemented
156#11718445C2211yescharacteristic, complemented
157#11718440C2211yescharacteristic, complemented
158#11718440C2211yescharacteristic, complemented
159#11718438C2211yescharacteristic, complemented
160#11718438C2211yescharacteristic, complemented
161#11718435C2211yescharacteristic, complemented
162#11718435C2211yescharacteristic, complemented
163#11718431C2211yescharacteristic
164#11718431C2211yescharacteristic
165#11718431C2211yescharacteristic
166#11718431C2211yescharacteristic
167D13×#102C2211yescharacteristic
168D13×#102C2211yescharacteristic
169D13×#102C2211yescharacteristic
170D13×#102C2211yescharacteristic
171#11718427C2211yescharacteristic, complemented
172#11718427C2211yescharacteristic, complemented
173#11718425C2211yescharacteristic
174#11718425C2211yescharacteristic
175#11718425C2211yescharacteristic
176#11718425C2211yescharacteristic
177#11718425C2211yescharacteristic
178#11718425C2211yescharacteristic
179#11718425C2211yescharacteristic
180#11718425C2211yescharacteristic
181#11718424C2211yescharacteristic, complemented
182#11718424C2211yescharacteristic, complemented
183#11718422C2211yescharacteristic, complemented
184#11718422C2211yescharacteristic, complemented
185#11718420C2211yescharacteristic, complemented
186#11718420C2211yescharacteristic, complemented
187#11718398C2211yescharacteristic, complemented
188#11718398C2211yescharacteristic, complemented
189#11718397C2211yescharacteristic, complemented
190#11718396C2211yescharacteristic, complemented
191#11718388C2211yescharacteristic
192#11718388C2211yescharacteristic
193#11718380C2211yescharacteristic, complemented
194#11718380C2211yescharacteristic, complemented
195#11718374C2211yescharacteristic
196#11718370C2211yescharacteristic, complemented
197D13×#97C2211yescharacteristic
198#11718363C2211yescharacteristic, complemented
199#11718355C2211yescharacteristic
200#11718351C2211yescharacteristic, complemented
201C4×#6094C2211yescharacteristic
202#11718344C2211yescharacteristic, complemented
203C2×#6129—21no—
204C2×#6129—21no—
205C2×D4×D13—21no—
206C2×D4×D13—21no—
207C2×D4×D13C2311yescharacteristic
208C2×D4×D13C2311yescharacteristic
209C2×#6127—21no—
210C2×#6127—21no—
211C2×#6127C2311yescharacteristic
212C13×C4⋊Q8—21no—
213C13×C4⋊Q8C2311yescharacteristic
214C13×C4⋊Q8C2311yescharacteristic
215C13×#127C2311yescharacteristic
216C13×#125—21no—
217C13×#125C2311yescharacteristic
218C13×#125C2311yescharacteristic
219C13×#125C2311yescharacteristic
220C13×#123—21no—
221C13×#123—21no—
222C13×C22⋊Q8—21no—
223C13×C22⋊Q8—21no—
224C13×#121—21no—
225C13×#121—21no—
226C13×#121C2311yescharacteristic
227C13×#121C2311yescharacteristic
228C4×D4×C13C2311yescharacteristic
229C4×D4×C13C2311yescharacteristic
230C13×#117C2311yescharacteristic
231C13×#117C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233#88200—21no—
234#88200—21no—
235#88200—21no—
236#88200—21no—
237Q8×Dic13—21no—
238Q8×Dic13—21no—
239#88198—21no—
240#88198—21no—
241#88194—21no—
242#88194—21no—
243#88194—21no—
244#88194—21no—
245#88194C2311yescharacteristic
246#88194C2311yescharacteristic
247#88193—21no—
248#88193—21no—
249#88193—21no—
250#88193—21no—
251#88192C2311yescharacteristic
252#88192C2311yescharacteristic
253#88191—21no—
254#88191—21no—
255#88189—21no—
256#88189—21no—
257D4×Dic13C2311yescharacteristic
258D4×Dic13C2311yescharacteristic
259#88184C2311yescharacteristic
260#88184C2311yescharacteristic
261C4×C22⋊D13—21no—
262C4×C22⋊D13—21no—
263C4×C22⋊D13—21no—
264C4×C22⋊D13—21no—
265C4×C22⋊D13—21no—
266C4×C22⋊D13—21no—
267C2×#6103—21no—
268C2×#6103—21no—
269#88180C2311yescharacteristic
270C2×C4⋊Dic13—21no—
271C2×C4⋊Dic13C2311yescharacteristic
272C2×#6101—21no—
273C2×C4×Dic13C2311yescharacteristic
274C2×#6094C2311yescharacteristic
275C2×#6094C2311yescharacteristic
276C2×C8×D13C2311yescharacteristic
277C2×C8×D13C2311yescharacteristic
278#88151—21no—
279#88151—21no—
280#88151—21no—
281#88151—21no—
282#88150—21no—
283#88150—21no—
284#88150—21no—
285#88150—21no—
286#88150—21no—
287#88150—21no—
288#88149—21no—
289#88149—21no—
290#88149C2311yescharacteristic
291#88149C2311yescharacteristic
292#88148—21no—
293#88148—21no—
294#88148—21no—
295#88148—21no—
296#88147—21no—
297#88147D411yescharacteristic
298#88147D411yescharacteristic
299#88147C2311yescharacteristic
300#88147C2311yescharacteristic
301#88146C2311yescharacteristic
302#88146C2311yescharacteristic
303#88146C2311yescharacteristic
304#88146C2311yescharacteristic
305#88146C2311yescharacteristic
306#88146C2311yescharacteristic
307C4⋊C4×D13—21no—
308C4⋊C4×D13—21no—
309C4⋊C4×D13—21no—
310C4⋊C4×D13—21no—
311C4⋊C4×D13C2311yescharacteristic
312C4⋊C4×D13C2311yescharacteristic
313C4⋊C4×D13C2311yescharacteristic
314C4⋊C4×D13C2311yescharacteristic
315#88144—21no—
316#88144—21no—
317#88144—21no—
318#88144C2311yescharacteristic
319#88144C2311yescharacteristic
320#88144C2311yescharacteristic
321#88144C2311yescharacteristic
322#88144C2311yescharacteristic
323#88144C2311yescharacteristic
324#88143—21no—
325#88143—21no—
326#88143—21no—
327#88143—21no—
328#88143—21no—
329#88143—21no—
330#88143—21no—
331#88143—21no—
332#88142—21no—
333#88142—21no—
334#88142—21no—
335#88142C2311yescharacteristic
336#88142C2311yescharacteristic
337#88142C2311yescharacteristic
338#88142C2311yescharacteristic
339#88141—21no—
340#88141—21no—
341#88141—21no—
342#88141—21no—
343#88141—21no—
344#88141D411yescharacteristic
345#88141D411yescharacteristic
346#88139—21no—
347#88139—21no—
348#88139—21no—
349#88139—21no—
350#88139—21no—
351#88139—21no—
352#88138—21no—
353#88138—21no—
354#88138—21no—
355#88138—21no—
356#88136—21no—
357#88136—21no—
358#88135—21no—
359#88135—21no—
360#88135—21no—
361#88135—21no—
362#88135—21no—
363#88135—21no—
364#88135D411yescharacteristic
365#88135D411yescharacteristic
366#88135D411yescharacteristic
367#88135D411yescharacteristic
368C22⋊C4×D13—21no—
369C22⋊C4×D13—21no—
370#88132—21no—
371#88132—21no—
372#88132—21no—
373#88132—21no—
374#88128C2311yescharacteristic
375C4×D52—21no—
376C4×D52C2311yescharacteristic
377C4×D52C2311yescharacteristic
378#88126C2311yescharacteristic
379#88126C2311yescharacteristic
380C42×D13C2311yescharacteristic
381C42×D13C2311yescharacteristic
382#88124C2311yescharacteristic
383#88124C2311yescharacteristic
384#88124C2311yescharacteristic
385#88123C2311yescharacteristic
386#88123C2311yescharacteristic
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×#102C2311yescharacteristic
401C13×#102C2311yescharacteristic
402C13×#102C2311yescharacteristic
403C13×#102C2311yescharacteristic
404C13×#102C2311yescharacteristic
405C13×#102C2311yescharacteristic
406C13×#102C2311yescharacteristic
407C13×#102C2311yescharacteristic
408C13×C22⋊C8C2311yescharacteristic
409C13×C22⋊C8C2311yescharacteristic
410C13×#97C2311yescharacteristic
411C4×C8×C13C2311yescharacteristic
412#88072C2311yescharacteristic
413#88072C2311yescharacteristic
414#88072C2311yescharacteristic
415#88072C2311yescharacteristic
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#88055C2311yescharacteristic
445#88055C2311yescharacteristic
446#88054C2311yescharacteristic
447#88054C2311yescharacteristic
448#88054C2311yescharacteristic
449#88054C2311yescharacteristic
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
477C4×#1055C2311yescharacteristic
478#60883—131nomaximal, Sylow
479C23×D13—21no—
480C23×D13—21no—
481C2×Q8×C13—21no—
482C2×Q8×C13—21no—
483C2×D4×C13—21no—
484C2×D4×C13—21no—
485C2×D4×C13—21no—
486C2×D4×C13—21no—
487C2×D4×C13C2411yescharacteristic
488C2×D4×C13C2411yescharacteristic
489C22×C4×C13—21no—
490C22×C4×C13—21no—
491C22×C4×C13—21no—
492C22×C4×C13C2411yescharacteristic
493C2×C22⋊D13—21no—
494C2×C22⋊D13—21no—
495C2×C22⋊D13—21no—
496C2×C22⋊D13—21no—
497C2×C22⋊D13—21no—
498C2×C22⋊D13—21no—
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
502C2×C22⋊D13—21no—
503C2×C22⋊D13C2×D411yescharacteristic
504C2×C22⋊D13C2×D411yescharacteristic
505C22×Dic13—21no—
506C22×Dic13—21no—
507C22×Dic13—21no—
508C22×Dic13C2×D411yescharacteristic
509C22×Dic13C2×D411yescharacteristic
510#6129—82no—
511#6129—82no—
512D4×D13—22no—
513D4×D13—22no—
514D4×D13—22no—
515D4×D13—22no—
516D4×D13—82no—
517D4×D13—82no—
518#6127—22no—
519#6127—22no—
520#6127—82no—
521#6127—82no—
522C2×D52—21no—
523C2×D52—21no—
524C2×D52—21no—
525C2×D52—21no—
526C2×D52C2×D411yescharacteristic
527C2×D52C2411yescharacteristic
528C2×D52C2411yescharacteristic
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—21no—
536C2×C4×D13—21no—
537C2×C4×D13C2×D411yescharacteristic
538C2×C4×D13C2×D411yescharacteristic
539C2×C4×D13C2×D411yescharacteristic
540C2×C4×D13C2×D411yescharacteristic
541C2×C4×D13C2411yescharacteristic
542C2×C4×D13C2411yescharacteristic
543C2×Dic26—21no—
544C2×Dic26—21no—
545C2×Dic26—21no—
546C2×Dic26—21no—
547C2×Dic26—21no—
548C2×Dic26—21no—
549C2×Dic26C2×D411yescharacteristic
550C2×C8×C13C2411yescharacteristic
551C2×C8×C13C2411yescharacteristic
552C2×C8×C13C2411yescharacteristic
553C2×C8×C13C2411yescharacteristic
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⋊C4—21no—
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4C2×D411yescharacteristic
564C13×C4⋊C4C2×D411yescharacteristic
565C13×C4⋊C4C2411yescharacteristic
566C13×C4⋊C4C2411yescharacteristic
567C13×C4⋊C4C2411yescharacteristic
568C13×C4⋊C4C2411yescharacteristic
569C13×C4⋊C4C2411yescharacteristic
570C13×C4⋊C4C2411yescharacteristic
571C13×C22⋊C4—21no—
572C13×C22⋊C4—21no—
573C13×C22⋊C4—21no—
574C13×C22⋊C4—21no—
575C13×C22⋊C4—21no—
576C13×C22⋊C4C2×D411yescharacteristic
577C13×C22⋊C4C2×D411yescharacteristic
578C42×C13—21no—
579C42×C13C2411yescharacteristic
580C42×C13C2411yescharacteristic
581C22⋊Dic13—21no—
582C22⋊Dic13—21no—
583C22⋊Dic13—21no—
584C22⋊Dic13—21no—
585C22⋊Dic13—21no—
586#6103—21no—
587#6103—21no—
588#6103—21no—
589#6103—21no—
590#6103—21no—
591#6103—21no—
592#6103—21no—
593#6103—21no—
594#6103—21no—
595#6103—21no—
596#6103—21no—
597#6103—21no—
598#6103—21no—
599#6103—21no—
600#6103C2×D411yescharacteristic
601#6103C2×D411yescharacteristic
602#6103C2×D411yescharacteristic
603#6103C2×D411yescharacteristic
604C4⋊Dic13—21no—
605C4⋊Dic13—21no—
606C4⋊Dic13—21no—
607C4⋊Dic13—21no—
608C4⋊Dic13—21no—
609C4⋊Dic13—21no—
610C4⋊Dic13—21no—
611C4⋊Dic13—21no—
612C4⋊Dic13—21no—
613C4⋊Dic13C2411yescharacteristic
614C4⋊Dic13C2411yescharacteristic
615C4⋊Dic13C2411yescharacteristic
616C4⋊Dic13C2411yescharacteristic
617C4⋊Dic13C2411yescharacteristic
618C4⋊Dic13C2411yescharacteristic
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#6101—21no—
636#6101—21no—
637#6101—21no—
638#6101—21no—
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×Dic13C2×D411yescharacteristic
651C4×Dic13C2×D411yescharacteristic
652C4×Dic13C2×D411yescharacteristic
653C4×Dic13C2×D411yescharacteristic
654C4×Dic13C2×D411yescharacteristic
655C4×Dic13C2×D411yescharacteristic
656C4×Dic13C2411yescharacteristic
657C4×Dic13C2411yescharacteristic
658C2×#1055C2411yescharacteristic
659C2×#1055C2411yescharacteristic
660C2×#1055C2411yescharacteristic
661C2×#1055C2411yescharacteristic
662#6094—22no—
663#6094—22no—
664C8×D13—22no—
665C8×D13—22no—
666#3508—131no—
667#3504—131no—
668#3241—131no—
669#3241—131no—
670#3241—131no—
671#3241—131no—
672#3241—131no—
673#3241—131no—
674#3241—131no—
675#3241D1311yescharacteristic, complemented
676#3235—131no—
677#3235—131no—
678#3235—131no—
679#3235—131no—
680#3234—131no—
681#3234—131no—
682#3234—131no—
683#3234—131no—
684#3166—131no—
685#3162—131no—
686#3138—131no—
687C2×#490—131no—
688#3096—131no—
689#3096—131no—
690#3096—131no—
691#3096—131no—
692#3081—131no—
693#3081—131no—
694#3081—131no—
695#3081—131no—
696#2923—131no—
697C23×C13—21no—
698C23×C13—21no—
699C23×C13C22×D411yescharacteristic
700C22×D13—21no—
701C22×D13—21no—
702C22×D13—42no—
703C22×D13—42no—
704C22×D13—81no—
705C22×D13—81no—
706C22×D13—81no—
707C22×D13—81no—
708C22×D13C22×D411yescharacteristic
709C22×D13C22×D411yescharacteristic
710Q8×C13—81no—
711Q8×C13—81no—
712D4×C13—21no—
713D4×C13—21no—
714D4×C13—21no—
715D4×C13—21no—
716D4×C13—81no—
717D4×C13—81no—
718D4×C13—81no—
719D4×C13—81no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—81no—
729C2×C4×C13—81no—
730C2×C4×C13—81no—
731C2×C4×C13C22×D411yescharacteristic
732C2×C4×C13C22×D411yescharacteristic
733C2×C4×C13C22×D411yescharacteristic
734C2×C4×C13C22×D411yescharacteristic
735C2×C4×C13C22×D411yescharacteristic
736C2×C4×C13C2511yescharacteristic
737C22⋊D13—22no—
738C22⋊D13—22no—
739C22⋊D13—42no—
740C22⋊D13—42no—
741C22⋊D13—42no—
742C22⋊D13—42no—
743C22⋊D13—42no—
744C22⋊D13—42no—
745C22⋊D13—81no—
746C22⋊D13—81no—
747C22⋊D13—81no—
748C22⋊D13—81no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—41no—
756C2×Dic13—41no—
757C2×Dic13—81no—
758C2×Dic13—81no—
759C2×Dic13—81no—
760C2×Dic13C22×D411yescharacteristic
761C2×Dic13C22×D411yescharacteristic
762C2×Dic13C22×D411yescharacteristic
763C2×Dic13C22×D411yescharacteristic
764C2×Dic13C22×D411yescharacteristic
765C2×Dic13C22×D411yescharacteristic
766D52—22no—
767D52—21no—
768D52—21no—
769D52—21no—
770D52—21no—
771D52—81no—
772D52—81no—
773D52—81no—
774D52—81no—
775C4×D13—21no—
776C4×D13—21no—
777C4×D13—41no—
778C4×D13—41no—
779C4×D13—41no—
780C4×D13—41no—
781C4×D13—81no—
782C4×D13—81no—
783C4×D13—81no—
784C4×D13—81no—
785C4×D13—81no—
786C4×D13—81no—
787C4×D13—81no—
788C4×D13—81no—
789C4×D132−1+412yes—
790C4×D132−1+412yes—
791Dic26—22no—
792Dic26—42no—
793Dic26—42no—
794Dic26—81no—
795Dic26—81no—
796Dic26—81no—
797Dic26—81no—
798C8×C13—21no—
799C8×C13—21no—
800C8×C13—21no—
801C8×C13—21no—
802#1055—21no—
803#1055—21no—
804#1055—21no—
805#1055—21no—
806#559—261no—
807#559—261no—
808#557—261no—
809#557—261no—
810#554—261no—
811#554—261no—
812#554—261no—
813#554—261no—
814#554—261no—
815#554—261no—
816#550—261no—
817#550—261no—
818#546—261no—
819#546—261no—
820#546—261no—
821#546—261no—
822#544—131no—
823#544—131no—
824#544—131no—
825#544—131no—
826#544—131no—
827#544C2×D1311yescharacteristic, complemented
828#540—131no—
829#540—131no—
830#540—131no—
831#540C2×D1311yescharacteristic
832#535—131no—
833#535—131no—
834#533—131no—
835#533—131no—
836#533—131no—
837#533—131no—
838#532—131no—
839#532—131no—
840#532—131no—
841#532—131no—
842C2×#127—131no—
843C2×#125—131no—
844C2×#125—131no—
845C2×#125—131no—
846#520—131no—
847#520—131no—
848#518—131no—
849#518—131no—
850C4×#41—131no—
851#501—131no—
852#501—131no—
853#501—131no—
854#501—131no—
855#501—131no—
856#501—131no—
857#501—131no—
858#501—131no—
859#501—131no—
860#501—131no—
861#501—131no—
862#501C2×D1311yescharacteristic, complemented
863#499—131no—
864#499—131no—
865#499—131no—
866#499C2×D1311yescharacteristic, complemented
867#490—131no—
868#490—131no—
869#490—131no—
870#490—131no—
871#490—131no—
872#490—131no—
873#490—131no—
874#490—131no—
875#490—131no—
876#490—131no—
877#490—131no—
878#490C2×D1311yescharacteristic
879#486—131no—
880#486—131no—
881#486—131no—
882#486C2×D1311yescharacteristic
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#482—131no—
896#482—131no—
897#482C2×D1311yescharacteristic, complemented
898#482C2×D1311yescharacteristic, complemented
899#481—131no—
900#481—131no—
901#481—131no—
902#481—131no—
903#481—131no—
904#481—131no—
905#481—131no—
906#481C2×D1311yescharacteristic, complemented
907#480—131no—
908#480—131no—
909#480—131no—
910#480—131no—
911#480—131no—
912#480—131no—
913#480—131no—
914#480C2×D1311yescharacteristic, complemented
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#478—131no—
921#478—131no—
922#478—131no—
923#478—131no—
924#478—131no—
925#478—131no—
926#478—131no—
927#478—131no—
928#478—131no—
929#478C2×D1311yescharacteristic, complemented
930#478C2×D1311yescharacteristic, complemented
931#476—131no—
932#476—131no—
933#476—131no—
934#476—131no—
935#476—131no—
936#476—131no—
937#476—131no—
938#476C2×D1311yescharacteristic, complemented
939#474—131no—
940#474—131no—
941#474—131no—
942#474—131no—
943#474—131no—
944#474—131no—
945#474—131no—
946#474C2×D1311yescharacteristic, complemented
947#433—131no—
948#433—131no—
949#433—131no—
950#433C2×D1311yescharacteristic, complemented
951#432—131no—
952#432—131no—
953#432—131no—
954#432—131no—
955#428—131no—
956#428—131no—
957#428—131no—
958#428—131no—
959#427—131no—
960#427—131no—
961#427—131no—
962#427—131no—
963#424—131no—
964#424—131no—
965#418—131no—
966#418—131no—
967#418—131no—
968#418—131no—
969C2×#102—131no—
970C2×#102—131no—
971C2×#102—131no—
972C2×#102—131no—
973#408—131no—
974#408—131no—
975C4×M16—131no—
976C2×#97—131no—
977C22×C13—21no—
978C22×C13—21no—
979C22×C13—21no—
980C22×C13—41no—
981C22×C13—41no—
982C22×C13—41no—
983C22×C13—41no—
984C22×C13—41no—
985C22×C13—41no—
986C22×C13C23×D411yescharacteristic
987C2×D13—21no—
988C2×D13—21no—
989C2×D13—21no—
990C2×D13—21no—
991C2×D13—21no—
992C2×D13—41no—
993C2×D13—41no—
994C2×D13—41no—
995C2×D13—41no—
996C2×D13—41no—
997C2×D13—41no—
998C2×D13—162no—
999C2×D13—162no—
1000C2×D13#53612yes—
1001C4×C13—21no—
1002C4×C13—21no—
1003C4×C13—21no—
1004C4×C13—21no—
1005C4×C13—21no—
1006C4×C13—41no—
1007C4×C13—41no—
1008C4×C13—41no—
1009C4×C13—41no—
1010C4×C13—41no—
1011C4×C13—41no—
1012C4×C13C2×2−1+411yescharacteristic
1013C4×C13C2×2−1+411yescharacteristic
1014Dic13—21no—
1015Dic13—21no—
1016Dic13—21no—
1017Dic13—21no—
1018Dic13—21no—
1019Dic13—41no—
1020Dic13—41no—
1021Dic13—41no—
1022Dic13—41no—
1023Dic13—41no—
1024Dic13—41no—
1025Dic13#53612yes—
1026C2×#41—131no—
1027C2×#41—261no—
1028C2×#41—261no—
1029C2×#41—261no—
1030C2×#41—261no—
1031C22×D4—131no—
1032C22×D4—131no—
1033C22×D4—261no—
1034C22×D4—261no—
1035C2×M16—131no—
1036C2×M16—131no—
1037C22×C8—131no—
1038C22×C8—131no—
1039C4⋊Q8—21no—
1040C4⋊Q8—131no—
1041C4⋊Q8—131no—
1042C4⋊Q8—131no—
1043C4⋊Q8—131no—
1044C4⋊Q8—131no—
1045C4⋊Q8—131no—
1046C4⋊Q8—261no—
1047C4⋊Q8—261no—
1048C4⋊Q8—261no—
1049C4⋊Q8—261no—
1050C4⋊Q8—261no—
1051C4⋊Q8C22×D1311yescharacteristic
1052C4⋊Q8C22×D1311yescharacteristic
1053#127—131no—
1054#127—131no—
1055#127—131no—
1056#127—261no—
1057#127—261no—
1058#127—261no—
1059#127—261no—
1060#127C22×D1311yescharacteristic
1061#125—21no—
1062#125—131no—
1063#125—131no—
1064#125—131no—
1065#125—131no—
1066#125—131no—
1067#125—131no—
1068#125—131no—
1069#125—131no—
1070#125—131no—
1071#125—261no—
1072#125—261no—
1073#125—261no—
1074#125—261no—
1075#125—261no—
1076#125—261no—
1077#125—261no—
1078#125—261no—
1079#125—261no—
1080#125—261no—
1081#125—261no—
1082#125C22×D1311yescharacteristic
1083#125C22×D1311yescharacteristic
1084#125C22×D1311yescharacteristic
1085#124—261no—
1086#124—261no—
1087#124—261no—
1088#124—261no—
1089#124—261no—
1090#124—261no—
1091#123—21no—
1092#123—21no—
1093#123—261no—
1094#123—261no—
1095#123—261no—
1096#123—261no—
1097#123—261no—
1098#123—261no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
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⋊Q8—261no—
1111C22⋊Q8—261no—
1112C22⋊Q8—261no—
1113C22⋊Q8—261no—
1114C22⋊Q8—261no—
1115C22⋊Q8—261no—
1116C22⋊Q8—261no—
1117C22⋊Q8—261no—
1118C22⋊Q8—261no—
1119#121—21no—
1120#121—21no—
1121#121—131no—
1122#121—131no—
1123#121—131no—
1124#121—131no—
1125#121—131no—
1126#121—131no—
1127#121—261no—
1128#121—261no—
1129#121—261no—
1130#121—261no—
1131#121—261no—
1132#121—261no—
1133#121—261no—
1134#121—261no—
1135#121—261no—
1136#121—261no—
1137#121C22×D1311yescharacteristic
1138#121C22×D1311yescharacteristic
1139#120—261no—
1140#120—261no—
1141#120—261no—
1142#120—261no—
1143C4×Q8—131no—
1144C4×Q8—131no—
1145C4×Q8—261no—
1146C4×Q8—261no—
1147C4×Q8—261no—
1148C4×Q8—261no—
1149C4×Q8—261no—
1150C4×Q8—261no—
1151C4×Q8—261no—
1152C4×Q8—261no—
1153C4×Q8—261no—
1154C4×Q8—261no—
1155C4×D4—131no—
1156C4×D4—131no—
1157C4×D4—131no—
1158C4×D4—131no—
1159C4×D4—131no—
1160C4×D4—131no—
1161C4×D4—131no—
1162C4×D4—131no—
1163C4×D4—131no—
1164C4×D4—131no—
1165C4×D4—131no—
1166C4×D4—131no—
1167C4×D4—261no—
1168C4×D4—261no—
1169C4×D4—261no—
1170C4×D4—261no—
1171C4×D4—261no—
1172C4×D4—261no—
1173C4×D4—261no—
1174C4×D4—261no—
1175C4×D4—261no—
1176C4×D4—261no—
1177C4×D4—261no—
1178C4×D4—261no—
1179C4×D4—261no—
1180C4×D4—261no—
1181C4×D4C22×D1311yescharacteristic
1182C4×D4C22×D1311yescharacteristic
1183#117—131no—
1184#117—131no—
1185#117—131no—
1186#117—131no—
1187#117—131no—
1188#117—131no—
1189#117—131no—
1190#117—131no—
1191#117—131no—
1192#117C22×D1311yescharacteristic
1193#117C22×D1311yescharacteristic
1194C2×C4⋊C4—131no—
1195C2×C4⋊C4—131no—
1196C2×C4⋊C4—131no—
1197C2×C4⋊C4—131no—
1198C2×C4⋊C4—131no—
1199C2×C4⋊C4—261no—
1200C2×C4⋊C4—261no—
1201C2×C4⋊C4—261no—
1202C2×C4⋊C4—261no—
1203C2×C4⋊C4—261no—
1204C2×C4⋊C4—261no—
1205C2×C4⋊C4C22×D1311yescharacteristic
1206C2×C22⋊C4—261no—
1207C2×C22⋊C4—261no—
1208C2×C22⋊C4—261no—
1209C2×C22⋊C4—261no—
1210C2×C42—131no—
1211C2×C42—131no—
1212C2×C42—131no—
1213#107—131no—
1214#107—131no—
1215#107—131no—
1216#107—131no—
1217#107—131no—
1218#107—131no—
1219#107—131no—
1220#107—131no—
1221#107—131no—
1222#107—131no—
1223#107—131no—
1224#107—131no—
1225#107C22×D1311yescharacteristic
1226#107C22×D1311yescharacteristic
1227#107C22×D1311yescharacteristic
1228#107C22×D1311yescharacteristic
1229#106—131no—
1230#106—131no—
1231#106—131no—
1232#106—131no—
1233#106—131no—
1234#106—131no—
1235#106—131no—
1236#106—131no—
1237#106—131no—
1238#106—131no—
1239#106—131no—
1240#106—131no—
1241#106C22×D1311yescharacteristic
1242#106C22×D1311yescharacteristic
1243#106C22×D1311yescharacteristic
1244#106C22×D1311yescharacteristic
1245C4⋊C8—131no—
1246C4⋊C8—131no—
1247C4⋊C8—131no—
1248C4⋊C8—131no—
1249C4⋊C8—131no—
1250C4⋊C8—131no—
1251C4⋊C8C22×D1311yescharacteristic
1252C4⋊C8C22×D1311yescharacteristic
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#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#102C22×D1311yescharacteristic
1278#102C22×D1311yescharacteristic
1279#102C22×D1311yescharacteristic
1280#102C22×D1311yescharacteristic
1281#102C22×D1311yescharacteristic
1282#102C22×D1311yescharacteristic
1283#102C22×D1311yescharacteristic
1284#102C22×D1311yescharacteristic
1285C22⋊C8—131no—
1286C22⋊C8—131no—
1287C22⋊C8—131no—
1288C22⋊C8—131no—
1289C22⋊C8—131no—
1290C22⋊C8—131no—
1291C22⋊C8C22×D1311yescharacteristic
1292C22⋊C8C22×D1311yescharacteristic
1293#97—131no—
1294#97—131no—
1295#97—131no—
1296#97—131no—
1297#97—131no—
1298#97C22×D1311yescharacteristic
1299C4×C8—131no—
1300C4×C8C22×D1311yescharacteristic
1301C2×C13—41no—
1302C2×C13—81no—
1303C2×C13—81no—
1304C2×C13C2×#53611yescharacteristic
1305C2×C13#358511yescharacteristic
1306C2×C13#358511yescharacteristic
1307D13—22no—
1308D13—41no—
1309D13—81no—
1310D13—81no—
1311C24—261no—
1312C24—261no—
1313#41—262no—
1314#41—262no—
1315#41—1042no—
1316#41—1042no—
1317#41—1042no—
1318#41—1042no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—131no—
1322C2×Q8—261no—
1323C2×Q8—261no—
1324C2×Q8—261no—
1325C2×Q8—261no—
1326C2×Q8—261no—
1327C2×Q8—261no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—131no—
1333C2×D4—131no—
1334C2×D4—131no—
1335C2×D4—131no—
1336C2×D4—131no—
1337C2×D4—261no—
1338C2×D4—261no—
1339C2×D4—262no—
1340C2×D4—262no—
1341C2×D4—262no—
1342C2×D4—262no—
1343C2×D4—261no—
1344C2×D4—261no—
1345C2×D4—261no—
1346C2×D4—261no—
1347C2×D4—261no—
1348C2×D4—261no—
1349C2×D4—261no—
1350C2×D4—261no—
1351C2×D4—261no—
1352C2×D4—261no—
1353C2×D4—261no—
1354C2×D4—261no—
1355C2×D4—1042no—
1356C2×D4—1042no—
1357C2×D4C23×D1311yescharacteristic
1358C2×D4C23×D1311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—131no—
1363C22×C4—131no—
1364C22×C4—131no—
1365C22×C4—131no—
1366C22×C4—131no—
1367C22×C4—131no—
1368C22×C4—131no—
1369C22×C4—131no—
1370C22×C4—261no—
1371C22×C4—261no—
1372C22×C4—261no—
1373C22×C4—261no—
1374C22×C4—261no—
1375C22×C4—261no—
1376C22×C4—261no—
1377C22×C4—261no—
1378C22×C4—261no—
1379C22×C4—261no—
1380C22×C4—261no—
1381C22×C4C23×D1311yescharacteristic
1382M16—262no—
1383M16—262no—
1384C2×C8—131no—
1385C2×C8—131no—
1386C2×C8—131no—
1387C2×C8—131no—
1388C2×C8—262no—
1389C2×C8—262no—
1390C2×C8C23×D1311yescharacteristic
1391C2×C8C23×D1311yescharacteristic
1392C2×C8C23×D1311yescharacteristic
1393C2×C8C23×D1311yescharacteristic
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—131no—
1404C4⋊C4—131no—
1405C4⋊C4—131no—
1406C4⋊C4—131no—
1407C4⋊C4—131no—
1408C4⋊C4—131no—
1409C4⋊C4—131no—
1410C4⋊C4—131no—
1411C4⋊C4—131no—
1412C4⋊C4—131no—
1413C4⋊C4—261no—
1414C4⋊C4—261no—
1415C4⋊C4—261no—
1416C4⋊C4—261no—
1417C4⋊C4—261no—
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⋊C4—261no—
1430C4⋊C4—261no—
1431C4⋊C4—261no—
1432C4⋊C4—261no—
1433C4⋊C4—261no—
1434C4⋊C4—261no—
1435C4⋊C4—261no—
1436C4⋊C4—261no—
1437C4⋊C4—261no—
1438C4⋊C4—261no—
1439C4⋊C4—261no—
1440C4⋊C4—261no—
1441C4⋊C4—261no—
1442C4⋊C4D4×D1311yescharacteristic
1443C4⋊C4D4×D1311yescharacteristic
1444C4⋊C4C23×D1311yescharacteristic
1445C4⋊C4C23×D1311yescharacteristic
1446C4⋊C4C23×D1311yescharacteristic
1447C4⋊C4C23×D1311yescharacteristic
1448C4⋊C4C23×D1311yescharacteristic
1449C4⋊C4C23×D1311yescharacteristic
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—131no—
1456C22⋊C4—131no—
1457C22⋊C4—131no—
1458C22⋊C4—131no—
1459C22⋊C4—261no—
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⋊C4D4×D1311yescharacteristic
1479C22⋊C4D4×D1311yescharacteristic
1480C42—21no—
1481C42—131no—
1482C42—131no—
1483C42—131no—
1484C42—131no—
1485C42—131no—
1486C42—131no—
1487C42—131no—
1488C42—131no—
1489C42—261no—
1490C42—261no—
1491C42—261no—
1492C42—261no—
1493C42—261no—
1494C42—261no—
1495C42—261no—
1496C42C23×D1311yescharacteristic
1497C42C23×D1311yescharacteristic
1498C13#6088311yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—131no—
1502C23—131no—
1503C23—261no—
1504C23—261no—
1505C23—522no—
1506C23—522no—
1507C23—1041no—
1508C23—1041no—
1509C23—1041no—
1510C23—1041no—
1511C23C2×D4×D1311yescharacteristic
1512Q8—81no—
1513Q8—81no—
1514Q8—262no—
1515Q8—522no—
1516Q8—522no—
1517Q8—1041no—
1518Q8—1041no—
1519Q8—1041no—
1520Q8—1041no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—81no—
1526D4—81no—
1527D4—81no—
1528D4—81no—
1529D4—262no—
1530D4—262no—
1531D4—262no—
1532D4—261no—
1533D4—261no—
1534D4—261no—
1535D4—261no—
1536D4—522no—
1537D4—522no—
1538D4—522no—
1539D4—522no—
1540D4—522no—
1541D4—522no—
1542D4—1041no—
1543D4—1041no—
1544D4—1041no—
1545D4—1041no—
1546D4—1041no—
1547D4—1041no—
1548D4—1041no—
1549D4—1041no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—131no—
1562C2×C4—132no—
1563C2×C4—132no—
1564C2×C4—131no—
1565C2×C4—131no—
1566C2×C4—131no—
1567C2×C4—131no—
1568C2×C4—131no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—521no—
1578C2×C4—521no—
1579C2×C4—521no—
1580C2×C4—521no—
1581C2×C4—521no—
1582C2×C4—521no—
1583C2×C4—1041no—
1584C2×C4—1041no—
1585C2×C4—1041no—
1586C2×C4—1041no—
1587C2×C4—1041no—
1588C2×C4—1041no—
1589C2×C4—1041no—
1590C2×C4—1041no—
1591C2×C4—1041no—
1592C2×C4—1041no—
1593C2×C4—1041no—
1594C2×C4C2×D4×D1311yescharacteristic
1595C2×C4C2×D4×D1311yescharacteristic
1596C2×C4C2×D4×D1311yescharacteristic
1597C2×C4C2×D4×D1311yescharacteristic
1598C2×C4C2×D4×D1311yescharacteristic
1599C2×C4C24×D1311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—261no—
1605C8—261no—
1606C8—261no—
1607C8—261no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—132no—
1618C22—261no—
1619C22—261no—
1620C22—261no—
1621C22—261no—
1622C22—261no—
1623C22—521no—
1624C22—521no—
1625C22—521no—
1626C22—521no—
1627C22—521no—
1628C22—521no—
1629C22—2082no—
1630C22—2082no—
1631C22C22×D4×D1311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—132no—
1644C4—261no—
1645C4—261no—
1646C4—261no—
1647C4—261no—
1648C4—261no—
1649C4—521no—
1650C4—521no—
1651C4—521no—
1652C4—521no—
1653C4—521no—
1654C4—521no—
1655C4D13×2−1+411yescharacteristic
1656C4D13×2−1+411yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—262no—
1661C2—521no—
1662C2—1041no—
1663C2—1041no—
1664C2D13×#53611yescharacteristic
1665C2#1312961111yescharacteristic
1666C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3241C2
socleC22×C13C23×D4
prime radical#13128708C2
hypercenter#3241D13
hypocenterC13#60883
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
2. #13128659C2semidirect
3. #13126092C2semidirect
4. #13126091C2semidirect
5. #13126090C2semidirect
6. #13126089C2semidirect
7. #13126084C2semidirect
8. #13126083C2semidirect
9. #13126082C2semidirect
10. #13126033C2semidirect
11. #13126032C2semidirect
12. #13126031C2semidirect
13. #13126031C2semidirect
14. #13126025C2semidirect
15. #13126024C2semidirect
16. #13126024C2semidirect
17. #13126023C2semidirect
18. #13125384C2semidirect
19. #13125357C2semidirect
20. #13125207C2semidirect
21. D13×#490C2semidirect
22. #13124793C2semidirect
23. #13124791C2semidirect
24. #13124789C2semidirect
25. #13124787C2semidirect
26. #13124666C2semidirect
27. #13124664C2semidirect
28. #13124662C2semidirect
29. #13124660C2semidirect
30. #13123484C2semidirect
31. C13×#3241C2semidirect
32. C13×#544C22semidirect
36. #11719434C22semidirect
38. #11719433C22semidirect
45. #11719394C22semidirect
48. D13×#125C22semidirect
73. #11719224C22semidirect
74. #11719222C22semidirect
76. C2×#88144C22semidirect
77. C13×#501C22semidirect
78. C13×#499C22semidirect
81. C13×#482C22semidirect
82. C13×#482C22semidirect
83. C13×#481C22semidirect
84. C13×#480C22semidirect
85. C13×#478C22semidirect
86. C13×#478C22semidirect
87. C13×#476C22semidirect
88. C13×#474C22semidirect
89. C13×#433C22semidirect
91. #11718748C22semidirect
92. #11718745C22semidirect
93. #11718741C22semidirect
97. #11718727C22semidirect
98. #11718727C22semidirect
99. #11718726C22semidirect
100. #11718725C22semidirect
101. #11718725C22semidirect
102. #11718696C22semidirect
103. #11718696C22semidirect
104. #11718695C22semidirect
105. #11718694C22semidirect
106. #11718670C22semidirect
107. #11718670C22semidirect
108. #11718669C22semidirect
109. #11718668C22semidirect
110. #11718664C22semidirect
111. #11718664C22semidirect
112. #11718661C22semidirect
113. #11718629C22semidirect
114. #11718628C22semidirect
115. #11718552C22semidirect
116. #11718552C22semidirect
117. #11718551C22semidirect
118. #11718551C22semidirect
119. #11718546C22semidirect
120. #11718546C22semidirect
121. #11718543C22semidirect
122. #11718543C22semidirect
127. #11718537C22semidirect
128. #11718537C22semidirect
129. #11718537C22semidirect
130. #11718537C22semidirect
131. #11718532C22semidirect
132. #11718532C22semidirect
133. #11718531C22semidirect
134. #11718531C22semidirect
135. #11718527C22semidirect
136. #11718527C22semidirect
137. #11718524C22semidirect
138. #11718524C22semidirect
143. #11718517C22semidirect
144. #11718517C22semidirect
145. #11718517C22semidirect
146. #11718517C22semidirect
147. #11718508C22semidirect
148. #11718508C22semidirect
149. #11718507C22semidirect
150. #11718503C22semidirect
153. #11718496C22semidirect
154. #11718496C22semidirect
155. #11718445C22semidirect
156. #11718445C22semidirect
157. #11718440C22semidirect
158. #11718440C22semidirect
159. #11718438C22semidirect
160. #11718438C22semidirect
161. #11718435C22semidirect
162. #11718435C22semidirect
171. #11718427C22semidirect
172. #11718427C22semidirect
181. #11718424C22semidirect
182. #11718424C22semidirect
183. #11718422C22semidirect
184. #11718422C22semidirect
185. #11718420C22semidirect
186. #11718420C22semidirect
187. #11718398C22semidirect
188. #11718398C22semidirect
189. #11718397C22semidirect
190. #11718396C22semidirect
193. #11718380C22semidirect
194. #11718380C22semidirect
196. #11718370C22semidirect
198. #11718363C22semidirect
200. #11718351C22semidirect
202. #11718344C22semidirect
675. #3241D13semidirect
827. #544C2×D13semidirect
862. #501C2×D13semidirect
866. #499C2×D13semidirect
897. #482C2×D13semidirect
898. #482C2×D13semidirect
906. #481C2×D13semidirect
914. #480C2×D13semidirect
929. #478C2×D13semidirect
930. #478C2×D13semidirect
938. #476C2×D13semidirect
946. #474C2×D13semidirect
950. #433C2×D13semidirect
1498. C13#60883semidirect

Maximal subgroups

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

subgroupindex
#131287082
#131286592
#131260922
#131260912
#131260902
#131260892
#131260842
#131260832
#131260822
#131260332
#131260322
#131260312
#131260252
#131260242
#131260232
#131253842
#131253572
#131252072
D13×#4902
#131247932
#131247912
#131247892
#131247872
#131246662
#131246642
#131246622
#131246602
#131234842
C13×#32412
#6088313