Finite Group Databasebeta

← #16735374

Subgroups — #16735374

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#13128563C211yesmaximal, characteristic
2#13128240C211yesmaximal, characteristic, complemented
3#13126136C211yesmaximal, characteristic, complemented
4#13126132C211yesmaximal, characteristic, complemented
5#13126119C211yesmaximal, characteristic, complemented
6#13126115C211yesmaximal, characteristic, complemented
7#13126093C211yesmaximal, characteristic, complemented
8#13126087C211yesmaximal, characteristic, complemented
9#13126083C211yesmaximal, characteristic, complemented
10#13126079C211yesmaximal, characteristic, complemented
11#13126075C211yesmaximal, characteristic, complemented
12#13126033C211yesmaximal, characteristic, complemented
13#13126029C211yesmaximal, characteristic, complemented
14#13126016C211yesmaximal, characteristic, complemented
15#13126014C211yesmaximal, characteristic, complemented
16#13125971C211yesmaximal, characteristic, complemented
17#13125969C211yesmaximal, characteristic, complemented
18#13125371C211yesmaximal, characteristic, complemented
19#13125365C211yesmaximal, characteristic, complemented
20#13125191C211yesmaximal, characteristic, complemented
21#13125185C211yesmaximal, characteristic, complemented
22#13124771C211yesmaximal, characteristic, complemented
23#13124764C211yesmaximal, characteristic, complemented
24#13124746C211yesmaximal, characteristic, complemented
25D13×#482C211yesmaximal, characteristic, complemented
26#13124699C211yesmaximal, characteristic, complemented
27#13124682C211yesmaximal, characteristic, complemented
28#13124666C211yesmaximal, characteristic, complemented
29#13124662C211yesmaximal, characteristic, complemented
30#13123492C211yesmaximal, characteristic, complemented
31C13×#3241C211yesmaximal, characteristic, complemented
32C13×#544C2211yescharacteristic, complemented
33C13×#540C2211yescharacteristic
34#11719434—21no—
35#11719434C2211yescharacteristic
36#11719434C2211yescharacteristic
37#11719433—21no—
38#11719433C2211yescharacteristic, complemented
39#11719433C2211yescharacteristic, complemented
40#11719421C2211yescharacteristic
41#11719420C2211yescharacteristic
42#11719396C2211yescharacteristic
43#11719394—21no—
44#11719394C2211yescharacteristic
45#11719394C2211yescharacteristic
46#11719394C2211yescharacteristic
47#11719393—21no—
48#11719393C2211yescharacteristic, complemented
49#11719393C2211yescharacteristic, complemented
50#11719366—21no—
51#11719364—21no—
52#11719363—21no—
53#11719360—21no—
54#11719339—21no—
55#11719339—21no—
56#11719327—21no—
57#11719327—21no—
58#11719324C2211yescharacteristic
59#11719321—21no—
60#11719317—21no—
61#11719315—21no—
62#11719311C2211yescharacteristic
63D13×#121C2211yescharacteristic
64#11719308C2211yescharacteristic
65#11719306—21no—
66#11719262C2211yescharacteristic
67#11719253C2211yescharacteristic
68#11719251C2211yescharacteristic
69#11719250C2211yescharacteristic
70#11719239C2211yescharacteristic
71D13×#117C2211yescharacteristic
72D13×#117C2211yescharacteristic
73#11719224C2211yescharacteristic, complemented
74#11719224C2211yescharacteristic, complemented
75C2×#88146C2211yescharacteristic
76#11719205C2211yescharacteristic, complemented
77C13×#501C2211yescharacteristic, complemented
78C13×#499C2211yescharacteristic, complemented
79C13×#490C2211yescharacteristic, complemented
80C13×#486C2211yescharacteristic, complemented
81C13×#482C2211yescharacteristic
82C13×#482C2211yescharacteristic, complemented
83C13×#481C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic
85C13×#478C2211yescharacteristic, complemented
86C13×#478C2211yescharacteristic, complemented
87C13×#476C2211yescharacteristic, complemented
88C13×#474C2211yescharacteristic, complemented
89C13×#433C2211yescharacteristic, complemented
90#11718752C2211yescharacteristic, complemented
91#11718750C2211yescharacteristic, complemented
92#11718748C2211yescharacteristic, complemented
93#11718739C2211yescharacteristic, complemented
94#11718732C2211yescharacteristic, complemented
95#11718731C2211yescharacteristic, complemented
96#11718729C2211yescharacteristic, complemented
97#11718727C2211yescharacteristic, complemented
98#11718726C2211yescharacteristic, complemented
99#11718726C2211yescharacteristic, complemented
100#11718725C2211yescharacteristic, complemented
101#11718724C2211yescharacteristic, complemented
102#11718696C2211yescharacteristic
103#11718696C2211yescharacteristic, complemented
104#11718695C2211yescharacteristic
105#11718694C2211yescharacteristic, complemented
106#11718670C2211yescharacteristic, complemented
107#11718670C2211yescharacteristic, complemented
108#11718669C2211yescharacteristic, complemented
109#11718668C2211yescharacteristic, complemented
110#11718664C2211yescharacteristic
111#11718661C2211yescharacteristic, complemented
112#11718657C2211yescharacteristic, complemented
113#11718631C2211yescharacteristic, complemented
114#11718628C2211yescharacteristic
115#11718551C2211yescharacteristic, complemented
116#11718549C2211yescharacteristic, complemented
117#11718546C2211yescharacteristic
118#11718546C2211yescharacteristic
119#11718546C2211yescharacteristic
120#11718542C2211yescharacteristic
121#11718542C2211yescharacteristic
122#11718542C2211yescharacteristic
123D13×#107C2211yescharacteristic
124#11718538C2211yescharacteristic, complemented
125#11718538C2211yescharacteristic, complemented
126#11718537C2211yescharacteristic, complemented
127#11718537C2211yescharacteristic, complemented
128#11718537C2211yescharacteristic, complemented
129#11718536C2211yescharacteristic, complemented
130#11718535C2211yescharacteristic, complemented
131#11718532C2211yescharacteristic, complemented
132#11718532C2211yescharacteristic, complemented
133#11718531C2211yescharacteristic, complemented
134#11718528C2211yescharacteristic, complemented
135#11718528C2211yescharacteristic, complemented
136#11718528C2211yescharacteristic, complemented
137#11718527C2211yescharacteristic
138#11718522C2211yescharacteristic
139#11718521C2211yescharacteristic
140#11718521C2211yescharacteristic
141D13×#106C2211yescharacteristic
142#11718519C2211yescharacteristic, complemented
143#11718519C2211yescharacteristic, complemented
144#11718517C2211yescharacteristic, complemented
145#11718516C2211yescharacteristic, complemented
146#11718515C2211yescharacteristic, complemented
147#11718512C2211yescharacteristic, complemented
148#11718508C2211yescharacteristic, complemented
149#11718503C2211yescharacteristic, complemented
150#11718500C2211yescharacteristic
151#11718500C2211yescharacteristic
152#11718496C2211yescharacteristic, complemented
153#11718494C2211yescharacteristic, complemented
154#11718490C2211yescharacteristic, complemented
155#11718445C2211yescharacteristic
156#11718445C2211yescharacteristic, complemented
157#11718440C2211yescharacteristic
158#11718440C2211yescharacteristic
159#11718440C2211yescharacteristic
160#11718440C2211yescharacteristic, complemented
161#11718440C2211yescharacteristic, complemented
162#11718440C2211yescharacteristic, complemented
163#11718433C2211yescharacteristic
164#11718433C2211yescharacteristic
165#11718432C2211yescharacteristic
166#11718432C2211yescharacteristic
167#11718431C2211yescharacteristic
168#11718431C2211yescharacteristic
169D13×#102C2211yescharacteristic
170D13×#102C2211yescharacteristic
171#11718429C2211yescharacteristic, complemented
172#11718429C2211yescharacteristic, complemented
173#11718426C2211yescharacteristic, complemented
174#11718426C2211yescharacteristic, complemented
175#11718425C2211yescharacteristic, complemented
176#11718425C2211yescharacteristic, complemented
177#11718424C2211yescharacteristic, complemented
178#11718424C2211yescharacteristic, complemented
179#11718424C2211yescharacteristic, complemented
180#11718424C2211yescharacteristic, complemented
181#11718422C2211yescharacteristic, complemented
182#11718422C2211yescharacteristic, complemented
183#11718421C2211yescharacteristic, complemented
184#11718421C2211yescharacteristic, complemented
185#11718420C2211yescharacteristic, complemented
186#11718420C2211yescharacteristic, complemented
187#11718398C2211yescharacteristic
188#11718396C2211yescharacteristic
189#11718387C2211yescharacteristic
190D13×C22⋊C8C2211yescharacteristic
191#11718384C2211yescharacteristic, complemented
192#11718382C2211yescharacteristic, complemented
193#11718381C2211yescharacteristic, complemented
194#11718381C2211yescharacteristic, complemented
195#11718375C2211yescharacteristic, complemented
196#11718369C2211yescharacteristic
197#11718366C2211yescharacteristic, complemented
198#11718363C2211yescharacteristic, complemented
199#11718358C2211yescharacteristic, complemented
200#11718350C2211yescharacteristic
201#11718346C2211yescharacteristic, complemented
202#11718341C2211yescharacteristic, complemented
203C2×#6129—21no—
204C2×#6129C2311yescharacteristic
205C2×D4×D13—21no—
206C2×D4×D13C2311yescharacteristic
207C2×#6127—21no—
208C22×C4×D13C2311yescharacteristic
209C13×C4⋊Q8—21no—
210C13×C4⋊Q8C2311yescharacteristic
211C13×C4⋊Q8C2311yescharacteristic
212C13×#127C2311yescharacteristic
213C13×#125—21no—
214C13×#125C2311yescharacteristic
215C13×#125C2311yescharacteristic
216C13×#125C2311yescharacteristic
217C13×#123—21no—
218C13×#123—21no—
219C13×C22⋊Q8—21no—
220C13×C22⋊Q8—21no—
221C13×#121—21no—
222C13×#121—21no—
223C13×#121C2311yescharacteristic
224C13×#121C2311yescharacteristic
225C4×D4×C13C2311yescharacteristic
226C4×D4×C13C2311yescharacteristic
227C13×#117C2311yescharacteristic
228C13×#117C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230#88200—21no—
231#88200—21no—
232#88200—21no—
233#88200—21no—
234Q8×Dic13—21no—
235Q8×Dic13—21no—
236#88198—21no—
237#88198—21no—
238#88194C2311yescharacteristic
239#88193—21no—
240#88193—21no—
241#88193—21no—
242#88193—21no—
243#88192—21no—
244#88192—21no—
245#88192C2311yescharacteristic
246#88192C2311yescharacteristic
247#88191—21no—
248#88191—21no—
249#88191—21no—
250#88190—21no—
251#88190—21no—
252#88190C2311yescharacteristic
253#88189—21no—
254D4×Dic13—21no—
255D4×Dic13—21no—
256D4×Dic13C2311yescharacteristic
257D4×Dic13C2311yescharacteristic
258#88184C2311yescharacteristic
259C4×C22⋊D13—21no—
260C4×C22⋊D13—21no—
261C4×C22⋊D13—21no—
262C4×C22⋊D13—21no—
263C2×#6103—21no—
264C2×#6103—21no—
265#88180—21no—
266#88180C2311yescharacteristic
267#88180C2311yescharacteristic
268C2×C4⋊Dic13C2311yescharacteristic
269#88178—21no—
270#88178—21no—
271#88178C2311yescharacteristic
272C2×#6101—21no—
273C2×C4×Dic13—21no—
274C2×#6094C2311yescharacteristic
275C2×#6094C2311yescharacteristic
276C2×C8×D13C2311yescharacteristic
277C2×C8×D13C2311yescharacteristic
278#88152—21no—
279#88152—21no—
280#88151—21no—
281#88151—21no—
282#88151—21no—
283#88151—21no—
284#88151—21no—
285#88151C2311yescharacteristic
286#88150—21no—
287#88150—21no—
288#88150—21no—
289#88150—21no—
290#88150—21no—
291#88150—21no—
292#88150—21no—
293#88150—21no—
294#88150—21no—
295#88150—21no—
296#88149C2311yescharacteristic
297#88148—21no—
298#88147—21no—
299#88147C2311yescharacteristic
300#88146—21no—
301#88146—21no—
302#88146—21no—
303#88146D411yescharacteristic
304#88146D411yescharacteristic
305#88146C2311yescharacteristic
306#88146C2311yescharacteristic
307#88146C2311yescharacteristic
308#88146C2311yescharacteristic
309#88146C2311yescharacteristic
310#88146C2311yescharacteristic
311#88146C2311yescharacteristic
312C4⋊C4×D13D411yescharacteristic
313C4⋊C4×D13D411yescharacteristic
314C4⋊C4×D13C2311yescharacteristic
315C4⋊C4×D13C2311yescharacteristic
316C4⋊C4×D13C2311yescharacteristic
317#88144—21no—
318#88144—21no—
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#88142—21no—
330#88142—21no—
331#88142—21no—
332#88142—21no—
333#88142—21no—
334#88142C2311yescharacteristic
335#88142C2311yescharacteristic
336#88142C2311yescharacteristic
337#88142C2311yescharacteristic
338#88142C2311yescharacteristic
339#88141—21no—
340#88141—21no—
341#88141—21no—
342#88141—21no—
343#88141—21no—
344#88141—21no—
345#88141C2311yescharacteristic
346#88140—21no—
347#88139—21no—
348#88139—21no—
349#88138—21no—
350#88138—21no—
351#88137—21no—
352#88137—21no—
353#88137—21no—
354#88137—21no—
355#88135—21no—
356#88135—21no—
357#88135—21no—
358C22⋊C4×D13—21no—
359C22⋊C4×D13—21no—
360C22⋊C4×D13—21no—
361C22⋊C4×D13D411yescharacteristic
362C22⋊C4×D13D411yescharacteristic
363#88133—21no—
364#88133—21no—
365#88132—21no—
366#88132—21no—
367#88132—21no—
368#88132—21no—
369#88132—21no—
370#88131—21no—
371#88131—21no—
372#88131D411yescharacteristic
373#88131D411yescharacteristic
374#88129C2311yescharacteristic
375C4×D52C2311yescharacteristic
376#88126—21no—
377#88126C2311yescharacteristic
378#88126C2311yescharacteristic
379C42×D13—21no—
380C42×D13C2311yescharacteristic
381C42×D13C2311yescharacteristic
382#88124—21no—
383#88124C2311yescharacteristic
384#88124C2311yescharacteristic
385#88123—21no—
386#88123C2311yescharacteristic
387#88123C2311yescharacteristic
388#88123C2311yescharacteristic
389C4×Dic26C2311yescharacteristic
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#88060C2311yescharacteristic
427#88060C2311yescharacteristic
428#88060C2311yescharacteristic
429#88060C2311yescharacteristic
430#88058C2311yescharacteristic
431#88058C2311yescharacteristic
432#88057C2311yescharacteristic
433#88057C2311yescharacteristic
434#88057C2311yescharacteristic
435#88057C2311yescharacteristic
436#88057C2311yescharacteristic
437#88057C2311yescharacteristic
438#88056C2311yescharacteristic
439#88056C2311yescharacteristic
440#88056C2311yescharacteristic
441#88056C2311yescharacteristic
442#88055C2311yescharacteristic
443#88055C2311yescharacteristic
444#88054C2311yescharacteristic
445#88054C2311yescharacteristic
446#88054C2311yescharacteristic
447#88054C2311yescharacteristic
448C8×Dic13C2311yescharacteristic
449C8×Dic13C2311yescharacteristic
450#88050C2311yescharacteristic
451#88050C2311yescharacteristic
452#88050C2311yescharacteristic
453#88050C2311yescharacteristic
454#88049C2311yescharacteristic
455#88049C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88048C2311yescharacteristic
459#88048C2311yescharacteristic
460#88048C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88047C2311yescharacteristic
465#88047C2311yescharacteristic
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#60875—131nomaximal, Sylow
479C23×D13—21no—
480C23×D13C2×D411yescharacteristic
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—
500C22×Dic13—21no—
501C22×Dic13—21no—
502C22×Dic13—21no—
503C22×Dic13—21no—
504C22×Dic13C2×D411yescharacteristic
505#6129—22no—
506#6129—22no—
507#6129—82no—
508D4×D13—22no—
509D4×D13—22no—
510D4×D13—82no—
511#6127—82no—
512C2×D52—21no—
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×D13C2×D411yescharacteristic
522C2×C4×D13C2×D411yescharacteristic
523C2×C4×D13C2×D411yescharacteristic
524C2×C4×D13C2×D411yescharacteristic
525C2×C4×D13C2×D411yescharacteristic
526C2×C4×D13C2×D411yescharacteristic
527C2×C4×D13C2411yescharacteristic
528C2×C4×D13C2411yescharacteristic
529C2×Dic26—21no—
530C2×Dic26—21no—
531C2×Dic26—21no—
532C2×Dic26—21no—
533C2×Dic26—21no—
534C2×Dic26—21no—
535C2×Dic26—21no—
536C2×Dic26—21no—
537C2×Dic26C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
552C13×C4⋊C4C2×D411yescharacteristic
553C13×C4⋊C4C2411yescharacteristic
554C13×C4⋊C4C2411yescharacteristic
555C13×C4⋊C4C2411yescharacteristic
556C13×C4⋊C4C2411yescharacteristic
557C13×C4⋊C4C2411yescharacteristic
558C13×C4⋊C4C2411yescharacteristic
559C13×C22⋊C4—21no—
560C13×C22⋊C4—21no—
561C13×C22⋊C4—21no—
562C13×C22⋊C4—21no—
563C13×C22⋊C4—21no—
564C13×C22⋊C4C2×D411yescharacteristic
565C13×C22⋊C4C2×D411yescharacteristic
566C42×C13—21no—
567C42×C13C2411yescharacteristic
568C42×C13C2411yescharacteristic
569C22⋊Dic13—21no—
570C22⋊Dic13—21no—
571C22⋊Dic13—21no—
572C22⋊Dic13—21no—
573C22⋊Dic13—21no—
574C22⋊Dic13—21no—
575C22⋊Dic13—21no—
576C22⋊Dic13—21no—
577C22⋊Dic13C2×D411yescharacteristic
578C22⋊Dic13C2×D411yescharacteristic
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#6103—21no—
593#6103C2×D411yescharacteristic
594#6103C2×D411yescharacteristic
595#6103C2×D411yescharacteristic
596#6103C2×D411yescharacteristic
597C4⋊Dic13—21no—
598C4⋊Dic13—21no—
599C4⋊Dic13—21no—
600C4⋊Dic13—21no—
601C4⋊Dic13—21no—
602C4⋊Dic13—21no—
603C4⋊Dic13—21no—
604C4⋊Dic13—21no—
605C4⋊Dic13—21no—
606C4⋊Dic13—21no—
607C4⋊Dic13C2×D411yescharacteristic
608C4⋊Dic13C2×D411yescharacteristic
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
639C4×Dic13—21no—
640C4×Dic13—21no—
641C4×Dic13—21no—
642C4×Dic13—21no—
643C4×Dic13—21no—
644C4×Dic13—21no—
645C4×Dic13—21no—
646C4×Dic13—21no—
647C4×Dic13—21no—
648C4×Dic13—21no—
649C4×Dic13C2×D411yescharacteristic
650C4×Dic13C2×D411yescharacteristic
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#3241D1311yescharacteristic, complemented
673#3240—131no—
674#3240—131no—
675#3235—131no—
676#3235—131no—
677#3233—131no—
678#3233—131no—
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×C13—21no—
696C23×C13C22×D411yescharacteristic
697C22×D13—22no—
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—81no—
707Q8×C13—81no—
708D4×C13—21no—
709D4×C13—21no—
710D4×C13—21no—
711D4×C13—21no—
712D4×C13—81no—
713D4×C13—81no—
714D4×C13—81no—
715D4×C13—81no—
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—21no—
723C2×C4×C13—21no—
724C2×C4×C13—81no—
725C2×C4×C13—81no—
726C2×C4×C13—81no—
727C2×C4×C13C22×D411yescharacteristic
728C2×C4×C13C22×D411yescharacteristic
729C2×C4×C13C22×D411yescharacteristic
730C2×C4×C13C22×D411yescharacteristic
731C2×C4×C13C22×D411yescharacteristic
732C2×C4×C13C2511yescharacteristic
733C22⋊D13—42no—
734C22⋊D13—42no—
735C22⋊D13—42no—
736C22⋊D13—42no—
737C22⋊D13—81no—
738C22⋊D13—81no—
739C22⋊D13—81no—
740C2×Dic13—22no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—42no—
749C2×Dic13—81no—
750C2×Dic13—81no—
751C2×Dic13—81no—
752C2×Dic13C22×D411yescharacteristic
753C2×Dic13C22×D411yescharacteristic
754C2×Dic13C22×D411yescharacteristic
755C2×Dic13C22×D411yescharacteristic
756C2×Dic13C22×D411yescharacteristic
757C2×Dic13C22×D411yescharacteristic
758D52—21no—
759D52—21no—
760D52—42no—
761C4×D13—22no—
762C4×D13—21no—
763C4×D13—21no—
764C4×D13—22no—
765C4×D13—41no—
766C4×D13—41no—
767C4×D13—41no—
768C4×D13—41no—
769C4×D13—81no—
770C4×D13—81no—
771C4×D13—81no—
772C4×D13—81no—
773C4×D13—81no—
774C4×D132−1+412yes—
775C4×D132−1+412yes—
776Dic26—21no—
777Dic26—21no—
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—261no—
811#544—261no—
812#544C2×D1311yescharacteristic, complemented
813#543—261no—
814#543—261no—
815#542—131no—
816#542—131no—
817#540—131no—
818#540C2×D1311yescharacteristic
819#535—131no—
820#533—131no—
821#533—131no—
822#533—131no—
823#533—131no—
824#533—261no—
825#533—261no—
826#533—261no—
827#533—261no—
828#532—131no—
829#532—131no—
830#529—131no—
831#529—131no—
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#501C2×D1311yescharacteristic, complemented
847#500—131no—
848#500—131no—
849#499—131no—
850#499—131no—
851#499—131no—
852#499C2×D1311yescharacteristic, complemented
853#498—131no—
854#498—131no—
855#490—131no—
856#490—131no—
857#490—131no—
858#490C2×D1311yescharacteristic, complemented
859#489—131no—
860#489—131no—
861#489—131no—
862#489—131no—
863#488—131no—
864#488—131no—
865#488—131no—
866#488—131no—
867#486—131no—
868#486—131no—
869#486—131no—
870#486C2×D1311yescharacteristic, complemented
871#485—131no—
872#485—131no—
873#485—131no—
874#485—131no—
875#485—131no—
876#485—131no—
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, complemented
897#481—131no—
898#481—131no—
899#481C2×D1311yescharacteristic, complemented
900#480—131no—
901#480—131no—
902#480C2×D1311yescharacteristic
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#478C2×D1311yescharacteristic, complemented
918#478C2×D1311yescharacteristic, complemented
919#477—131no—
920#477—131no—
921#476—131no—
922#476—131no—
923#476—131no—
924#476—131no—
925#476—131no—
926#476C2×D1311yescharacteristic, complemented
927#475—131no—
928#475—131no—
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#433C2×D1311yescharacteristic, complemented
939#432—131no—
940#432—131no—
941#431—131no—
942#431—131no—
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×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13C23×D411yescharacteristic
975C2×D13—21no—
976C2×D13—21no—
977C2×D13—21no—
978C2×D13—21no—
979C2×D13—21no—
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×C13C2×2−1+411yescharacteristic
998C4×C13C2×2−1+411yescharacteristic
999Dic13—21no—
1000Dic13—21no—
1001Dic13—21no—
1002Dic13—21no—
1003Dic13—21no—
1004Dic13—41no—
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—21no—
1023C4⋊Q8—131no—
1024C4⋊Q8—131no—
1025C4⋊Q8—131no—
1026C4⋊Q8—131no—
1027C4⋊Q8—131no—
1028C4⋊Q8—131no—
1029C4⋊Q8—131no—
1030C4⋊Q8—131no—
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#127C22×D1311yescharacteristic
1043#126—261no—
1044#126—261no—
1045#126—261no—
1046#126—261no—
1047#125—21no—
1048#125—131no—
1049#125—131no—
1050#125—131no—
1051#125—131no—
1052#125—131no—
1053#125—131no—
1054#125—131no—
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—131no—
1068#124—261no—
1069#124—261no—
1070#124—261no—
1071#124—261no—
1072#123—21no—
1073#123—21no—
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—131no—
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⋊Q8—261no—
1111#121—21no—
1112#121—21no—
1113#121—131no—
1114#121—131no—
1115#121—131no—
1116#121—131no—
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#121C22×D1311yescharacteristic
1126#121C22×D1311yescharacteristic
1127#120—261no—
1128#120—261no—
1129#120—261no—
1130C4×Q8—131no—
1131C4×Q8—131no—
1132C4×Q8—261no—
1133C4×Q8—261no—
1134C4×Q8—261no—
1135C4×Q8—261no—
1136C4×Q8—261no—
1137C4×Q8—261no—
1138C4×Q8—261no—
1139C4×Q8—261no—
1140C4×D4—131no—
1141C4×D4—131no—
1142C4×D4—131no—
1143C4×D4—131no—
1144C4×D4—261no—
1145C4×D4—261no—
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×D4C22×D1311yescharacteristic
1155C4×D4C22×D1311yescharacteristic
1156#117—131no—
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—261no—
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—261no—
1187C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1197C2×C42—261no—
1198C2×C42—261no—
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#103—131no—
1244#103—131no—
1245#103—131no—
1246#103—131no—
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#102C22×D1311yescharacteristic
1264#102C22×D1311yescharacteristic
1265#102C22×D1311yescharacteristic
1266#102C22×D1311yescharacteristic
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#97C22×D1311yescharacteristic
1283C4×C8—131no—
1284C4×C8—131no—
1285C4×C8—131no—
1286C4×C8C22×D1311yescharacteristic
1287C2×C13—41no—
1288C2×C13—81no—
1289C2×C13—81no—
1290C2×C13C2×#53611yescharacteristic
1291C2×C13#358411yescharacteristic
1292C2×C13#358511yescharacteristic
1293D13—22no—
1294D13—41no—
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—131no—
1305C2×Q8—261no—
1306C2×Q8—261no—
1307C2×Q8—261no—
1308C2×Q8—261no—
1309C2×Q8—261no—
1310C2×Q8—261no—
1311C2×Q8—261no—
1312C2×Q8—261no—
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—131no—
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—1042no—
1329C2×D4C23×D1311yescharacteristic
1330C2×D4C23×D1311yescharacteristic
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—131no—
1335C22×C4—131no—
1336C22×C4—131no—
1337C22×C4—131no—
1338C22×C4—131no—
1339C22×C4—131no—
1340C22×C4—131no—
1341C22×C4—131no—
1342C22×C4—131no—
1343C22×C4—262no—
1344C22×C4—262no—
1345C22×C4—261no—
1346C22×C4—261no—
1347C22×C4—261no—
1348C22×C4—261no—
1349C22×C4—261no—
1350C22×C4—261no—
1351C22×C4—261no—
1352C22×C4—261no—
1353C22×C4—261no—
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—131no—
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—261no—
1389C4⋊C4—261no—
1390C4⋊C4—261no—
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⋊C4D4×D1311yescharacteristic
1419C4⋊C4D4×D1311yescharacteristic
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—131no—
1432C22⋊C4—131no—
1433C22⋊C4—131no—
1434C22⋊C4—131no—
1435C22⋊C4—131no—
1436C22⋊C4—131no—
1437C22⋊C4—261no—
1438C22⋊C4—261no—
1439C22⋊C4—261no—
1440C22⋊C4—261no—
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⋊C4D4×D1311yescharacteristic
1460C22⋊C4D4×D1311yescharacteristic
1461C42—21no—
1462C42—131no—
1463C42—131no—
1464C42—131no—
1465C42—131no—
1466C42—131no—
1467C42—131no—
1468C42—261no—
1469C42—261no—
1470C42—261no—
1471C42—261no—
1472C42—261no—
1473C42—261no—
1474C42—261no—
1475C42—261no—
1476C42—261no—
1477C42—261no—
1478C42C23×D1311yescharacteristic
1479C42C23×D1311yescharacteristic
1480C13#6087511yescharacteristic, complemented, Sylow
1481C23—21no—
1482C23—21no—
1483C23—131no—
1484C23—131no—
1485C23—262no—
1486C23—261no—
1487C23—521no—
1488C23—521no—
1489C23—522no—
1490C23—1041no—
1491C23—1041no—
1492C23C2×D4×D1311yescharacteristic
1493Q8—81no—
1494Q8—81no—
1495Q8—261no—
1496Q8—261no—
1497Q8—1041no—
1498Q8—1041no—
1499Q8—1041no—
1500Q8—1041no—
1501Q8—1041no—
1502Q8—1041no—
1503Q8—1041no—
1504Q8—1041no—
1505D4—21no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—81no—
1510D4—81no—
1511D4—81no—
1512D4—81no—
1513D4—261no—
1514D4—261no—
1515D4—522no—
1516D4—522no—
1517D4—522no—
1518D4—522no—
1519D4—522no—
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—81no—
1532C2×C4—81no—
1533C2×C4—81no—
1534C2×C4—131no—
1535C2×C4—132no—
1536C2×C4—132no—
1537C2×C4—131no—
1538C2×C4—131no—
1539C2×C4—131no—
1540C2×C4—131no—
1541C2×C4—131no—
1542C2×C4—262no—
1543C2×C4—262no—
1544C2×C4—262no—
1545C2×C4—261no—
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—521no—
1555C2×C4—521no—
1556C2×C4—521no—
1557C2×C4—521no—
1558C2×C4—522no—
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—41no—
1588C22—41no—
1589C22—41no—
1590C22—132no—
1591C22—261no—
1592C22—261no—
1593C22—261no—
1594C22—261no—
1595C22—261no—
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—132no—
1614C4—261no—
1615C4—261no—
1616C4—261no—
1617C4—261no—
1618C4—261no—
1619C4—521no—
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—81no—
1631C2—262no—
1632C2—521no—
1633C2—1041no—
1634C2D13×#53611yescharacteristic
1635C2#1312960811yescharacteristic
1636C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3241C2
socleC22×C13C23×D4
prime radical#13128563C2
hypercenter#3241D13
hypocenterC13#60875
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. #13128240C2semidirect
3. #13126136C2semidirect
4. #13126132C2semidirect
5. #13126119C2semidirect
6. #13126115C2semidirect
7. #13126093C2semidirect
8. #13126087C2semidirect
9. #13126083C2semidirect
10. #13126079C2semidirect
11. #13126075C2semidirect
12. #13126033C2semidirect
13. #13126029C2semidirect
14. #13126016C2semidirect
15. #13126014C2semidirect
16. #13125971C2semidirect
17. #13125969C2semidirect
18. #13125371C2semidirect
19. #13125365C2semidirect
20. #13125191C2semidirect
21. #13125185C2semidirect
22. #13124771C2semidirect
23. #13124764C2semidirect
24. #13124746C2semidirect
25. D13×#482C2semidirect
26. #13124699C2semidirect
27. #13124682C2semidirect
28. #13124666C2semidirect
29. #13124662C2semidirect
30. #13123492C2semidirect
31. C13×#3241C2semidirect
32. C13×#544C22semidirect
38. #11719433C22semidirect
39. #11719433C22semidirect
48. #11719393C22semidirect
49. #11719393C22semidirect
73. #11719224C22semidirect
74. #11719224C22semidirect
76. #11719205C22semidirect
77. C13×#501C22semidirect
78. C13×#499C22semidirect
79. C13×#490C22semidirect
80. C13×#486C22semidirect
82. C13×#482C22semidirect
83. C13×#481C22semidirect
85. C13×#478C22semidirect
86. C13×#478C22semidirect
87. C13×#476C22semidirect
88. C13×#474C22semidirect
89. C13×#433C22semidirect
90. #11718752C22semidirect
91. #11718750C22semidirect
92. #11718748C22semidirect
93. #11718739C22semidirect
94. #11718732C22semidirect
95. #11718731C22semidirect
96. #11718729C22semidirect
97. #11718727C22semidirect
98. #11718726C22semidirect
99. #11718726C22semidirect
100. #11718725C22semidirect
101. #11718724C22semidirect
103. #11718696C22semidirect
105. #11718694C22semidirect
106. #11718670C22semidirect
107. #11718670C22semidirect
108. #11718669C22semidirect
109. #11718668C22semidirect
111. #11718661C22semidirect
112. #11718657C22semidirect
113. #11718631C22semidirect
115. #11718551C22semidirect
116. #11718549C22semidirect
124. #11718538C22semidirect
125. #11718538C22semidirect
126. #11718537C22semidirect
127. #11718537C22semidirect
128. #11718537C22semidirect
129. #11718536C22semidirect
130. #11718535C22semidirect
131. #11718532C22semidirect
132. #11718532C22semidirect
133. #11718531C22semidirect
134. #11718528C22semidirect
135. #11718528C22semidirect
136. #11718528C22semidirect
142. #11718519C22semidirect
143. #11718519C22semidirect
144. #11718517C22semidirect
145. #11718516C22semidirect
146. #11718515C22semidirect
147. #11718512C22semidirect
148. #11718508C22semidirect
149. #11718503C22semidirect
152. #11718496C22semidirect
153. #11718494C22semidirect
154. #11718490C22semidirect
156. #11718445C22semidirect
160. #11718440C22semidirect
161. #11718440C22semidirect
162. #11718440C22semidirect
171. #11718429C22semidirect
172. #11718429C22semidirect
173. #11718426C22semidirect
174. #11718426C22semidirect
175. #11718425C22semidirect
176. #11718425C22semidirect
177. #11718424C22semidirect
178. #11718424C22semidirect
179. #11718424C22semidirect
180. #11718424C22semidirect
181. #11718422C22semidirect
182. #11718422C22semidirect
183. #11718421C22semidirect
184. #11718421C22semidirect
185. #11718420C22semidirect
186. #11718420C22semidirect
191. #11718384C22semidirect
192. #11718382C22semidirect
193. #11718381C22semidirect
194. #11718381C22semidirect
195. #11718375C22semidirect
197. #11718366C22semidirect
198. #11718363C22semidirect
199. #11718358C22semidirect
201. #11718346C22semidirect
202. #11718341C22semidirect
672. #3241D13semidirect
812. #544C2×D13semidirect
846. #501C2×D13semidirect
852. #499C2×D13semidirect
858. #490C2×D13semidirect
870. #486C2×D13semidirect
896. #482C2×D13semidirect
899. #481C2×D13semidirect
917. #478C2×D13semidirect
918. #478C2×D13semidirect
926. #476C2×D13semidirect
934. #474C2×D13semidirect
938. #433C2×D13semidirect
1480. C13#60875semidirect

Maximal subgroups

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

subgroupindex
#131285632
#131282402
#131261362
#131261322
#131261192
#131261152
#131260932
#131260872
#131260832
#131260792
#131260752
#131260332
#131260292
#131260162
#131260142
#131259712
#131259692
#131253712
#131253652
#131251912
#131251852
#131247712
#131247642
#131247462
D13×#4822
#131246992
#131246822
#131246662
#131246622
#131234922
C13×#32412
#6087513