Finite Group Databasebeta

← #16759602

Subgroups — #16759602

Order 3328.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129180C211yesmaximal, characteristic, complemented
2#13128776C211yesmaximal, characteristic, complemented
3#13127789C211yesmaximal, characteristic, complemented
4#13127741C211yesmaximal, characteristic, complemented
5#13127653C211yesmaximal, characteristic, complemented
6#13127596C211yesmaximal, characteristic, complemented
7#13127343C211yesmaximal, characteristic, complemented
8#13127318C211yesmaximal, characteristic, complemented
9#13127272C211yesmaximal, characteristic, complemented
10#13127272C211yesmaximal, characteristic, complemented
11#13127200C211yesmaximal, characteristic, complemented
12#13127181C211yesmaximal, characteristic, complemented
13#13126989C211yesmaximal, characteristic, complemented
14#13126914C211yesmaximal, characteristic, complemented
15#13126853C211yesmaximal, characteristic, complemented
16#13126793C211yesmaximal, characteristic, complemented
17#13126667C211yesmaximal, characteristic, complemented
18#13126645C211yesmaximal, characteristic, complemented
19#13126296C211yesmaximal, characteristic, complemented
20#13126254C211yesmaximal, characteristic, complemented
21#13126188C211yesmaximal, characteristic, complemented
22#13126116C211yesmaximal, characteristic, complemented
23#13126096C211yesmaximal, characteristic, complemented
24#13126057C211yesmaximal, characteristic, complemented
25#13125103C211yesmaximal, characteristic, complemented
26#13125027C211yesmaximal, characteristic, complemented
27#13124974C211yesmaximal, characteristic, complemented
28#13124682C211yesmaximal, characteristic, complemented
29#13124660C211yesmaximal, characteristic, complemented
30#13123972C211yesmaximal, characteristic, complemented
31C2×C13×#474C211yesmaximal, characteristic, complemented
32C2×C13×C4⋊Q8C2211yescharacteristic, complemented
33C2×C4×D4×C13C2211yescharacteristic
34#11719521—21no—
35#11719521—21no—
36#11719511C2211yescharacteristic
37D4×C22⋊D13C2211yescharacteristic
38#11719496—21no—
39C2×#88183—21no—
40#11719440—21no—
41#11719440—21no—
42#11719439C2211yescharacteristic, complemented
43#11719438—21no—
44#11719438C2211yescharacteristic, complemented
45#11719438C2211yescharacteristic, complemented
46#11719435C2211yescharacteristic, complemented
47#11719435C2211yescharacteristic, complemented
48#11719434—21no—
49#11719434C2211yescharacteristic, complemented
50#11719434C2211yescharacteristic, complemented
51#11719427C2211yescharacteristic, complemented
52#11719269—21no—
53#11719267C2211yescharacteristic
54#11719266C2211yescharacteristic
55#11719265—21no—
56#11719264C2211yescharacteristic
57#11719263C2211yescharacteristic
58#11719261—21no—
59#11719259C2211yescharacteristic
60#11719251C2211yescharacteristic
61#11719250C2211yescharacteristic
62#11719245—21no—
63#11719244C2211yescharacteristic
64#11719218—21no—
65#11719218C2211yescharacteristic
66#11719218C2211yescharacteristic
67#11719218C2211yescharacteristic, complemented
68#11719212—21no—
69#11719212C2211yescharacteristic
70#11719212C2211yescharacteristic
71#11719212C2211yescharacteristic, complemented
72#11719200—21no—
73#11719195—21no—
74#11719184C2211yescharacteristic
75#11719184C2211yescharacteristic
76#11719184C2211yescharacteristic, complemented
77C13×#474C2211yescharacteristic
78C13×#474C2211yescharacteristic
79C13×#474C2211yescharacteristic
80C13×#474C2211yescharacteristic
81C13×#474C2211yescharacteristic, complemented
82C13×#474C2211yescharacteristic, complemented
83C13×#474C2211yescharacteristic, complemented
84C13×#474C2211yescharacteristic, complemented
85C2×C13×#107C2211yescharacteristic, complemented
86C2×C13×#107C2211yescharacteristic, complemented
87C2×C13×C4⋊C8C2211yescharacteristic, complemented
88C2×C13×#102C2211yescharacteristic
89C2×C13×#102C2211yescharacteristic
90#11718879C2211yescharacteristic
91#11718878C2211yescharacteristic
92#11718777C2211yescharacteristic, complemented
93#11718776C2211yescharacteristic
94#11718775C2211yescharacteristic
95#11718775C2211yescharacteristic, complemented
96#11718772C2211yescharacteristic
97#11718772C2211yescharacteristic, complemented
98C8×C22⋊D13C2211yescharacteristic
99C8×C22⋊D13C2211yescharacteristic, complemented
100#11718752C2211yescharacteristic, complemented
101#11718752C2211yescharacteristic, complemented
102#11718750C2211yescharacteristic, complemented
103#11718750C2211yescharacteristic, complemented
104#11718745C2211yescharacteristic, complemented
105#11718745C2211yescharacteristic, complemented
106#11718741C2211yescharacteristic, complemented
107#11718741C2211yescharacteristic, complemented
108#11718679C2211yescharacteristic
109#11718679C2211yescharacteristic, complemented
110#11718677C2211yescharacteristic
111#11718677C2211yescharacteristic, complemented
112#11718675C2211yescharacteristic
113#11718675C2211yescharacteristic, complemented
114#11718670C2211yescharacteristic
115#11718670C2211yescharacteristic, complemented
116#11718632C2211yescharacteristic, complemented
117#11718632C2211yescharacteristic, complemented
118#11718632C2211yescharacteristic, complemented
119#11718628C2211yescharacteristic
120#11718628C2211yescharacteristic
121#11718628C2211yescharacteristic, complemented
122#11718587C2211yescharacteristic, complemented
123#11718552C2211yescharacteristic, complemented
124#11718552C2211yescharacteristic, complemented
125#11718551C2211yescharacteristic, complemented
126#11718551C2211yescharacteristic, complemented
127#11718550C2211yescharacteristic, complemented
128#11718550C2211yescharacteristic, complemented
129#11718549C2211yescharacteristic, complemented
130#11718549C2211yescharacteristic, complemented
131#11718548C2211yescharacteristic, complemented
132#11718547C2211yescharacteristic, complemented
133#11718547C2211yescharacteristic, complemented
134#11718546C2211yescharacteristic, complemented
135#11718546C2211yescharacteristic, complemented
136#11718545C2211yescharacteristic, complemented
137#11718545C2211yescharacteristic, complemented
138#11718544C2211yescharacteristic, complemented
139#11718543C2211yescharacteristic, complemented
140#11718543C2211yescharacteristic, complemented
141#11718542C2211yescharacteristic, complemented
142#11718542C2211yescharacteristic, complemented
143#11718541C2211yescharacteristic, complemented
144D13×#107C2211yescharacteristic, complemented
145#11718539C2211yescharacteristic, complemented
146#11718538C2211yescharacteristic, complemented
147#11718538C2211yescharacteristic, complemented
148#11718537C2211yescharacteristic, complemented
149#11718537C2211yescharacteristic, complemented
150#11718536C2211yescharacteristic, complemented
151#11718536C2211yescharacteristic, complemented
152#11718535C2211yescharacteristic, complemented
153#11718534C2211yescharacteristic, complemented
154#11718533C2211yescharacteristic, complemented
155#11718508C2211yescharacteristic, complemented
156#11718508C2211yescharacteristic, complemented
157#11718506C2211yescharacteristic, complemented
158#11718506C2211yescharacteristic, complemented
159#11718505C2211yescharacteristic, complemented
160#11718505C2211yescharacteristic, complemented
161#11718501C2211yescharacteristic, complemented
162#11718501C2211yescharacteristic, complemented
163#11718500C2211yescharacteristic, complemented
164#11718500C2211yescharacteristic, complemented
165#11718497C2211yescharacteristic, complemented
166#11718497C2211yescharacteristic, complemented
167#11718490C2211yescharacteristic, complemented
168#11718490C2211yescharacteristic, complemented
169#11718489C2211yescharacteristic, complemented
170#11718489C2211yescharacteristic, complemented
171#11718448C2211yescharacteristic, complemented
172#11718447C2211yescharacteristic
173#11718446C2211yescharacteristic
174#11718445C2211yescharacteristic, complemented
175#11718444C2211yescharacteristic
176#11718443C2211yescharacteristic, complemented
177#11718442C2211yescharacteristic
178#11718441C2211yescharacteristic
179#11718440C2211yescharacteristic
180#11718439C2211yescharacteristic, complemented
181#11718438C2211yescharacteristic, complemented
182#11718437C2211yescharacteristic
183#11718436C2211yescharacteristic
184#11718435C2211yescharacteristic
185#11718434C2211yescharacteristic
186#11718433C2211yescharacteristic
187#11718432C2211yescharacteristic
188#11718431C2211yescharacteristic
189D13×#102C2211yescharacteristic
190#11718429C2211yescharacteristic, complemented
191#11718428C2211yescharacteristic, complemented
192#11718427C2211yescharacteristic
193#11718426C2211yescharacteristic, complemented
194#11718425C2211yescharacteristic
195#11718424C2211yescharacteristic
196#11718423C2211yescharacteristic
197#11718422C2211yescharacteristic
198#11718421C2211yescharacteristic
199#11718420C2211yescharacteristic
200#11718419C2211yescharacteristic
201#11718418C2211yescharacteristic
202#11718417C2211yescharacteristic
203C22×Q8×C13—21no—
204C22×D4×C13C2311yescharacteristic
205C23×C4×C13—21no—
206C22×C22⋊D13—21no—
207C2×#6129C2311yescharacteristic
208C2×D4×D13C2311yescharacteristic
209C2×#6127—21no—
210C2×#6127—21no—
211C2×#6127—21no—
212C22×C8×C13C2311yescharacteristic
213C22×C8×C13C2311yescharacteristic
214C13×C4⋊Q8—21no—
215C13×C4⋊Q8—21no—
216C13×C4⋊Q8C2311yescharacteristic
217C13×C4⋊Q8C2311yescharacteristic
218C13×C4⋊Q8C2311yescharacteristic
219C13×C4⋊Q8C2311yescharacteristic
220C4×D4×C13—21no—
221C4×D4×C13—21no—
222C4×D4×C13C2311yescharacteristic
223C4×D4×C13C2311yescharacteristic
224C4×D4×C13C2311yescharacteristic
225C4×D4×C13C2311yescharacteristic
226C2×C13×C4⋊C4—21no—
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4—21no—
231C2×C42×C13C2311yescharacteristic
232#88207—21no—
233#88207—21no—
234C2×C22⋊Dic13—21no—
235#88201—21no—
236#88201—21no—
237#88201—21no—
238#88201—21no—
239#88200—21no—
240#88200—21no—
241#88200—21no—
242#88200—21no—
243#88200—21no—
244#88200—21no—
245#88200—21no—
246#88200—21no—
247#88198—21no—
248#88198—21no—
249#88198—21no—
250#88198—21no—
251#88194C2311yescharacteristic
252#88193—21no—
253#88193—21no—
254#88192C2311yescharacteristic
255#88192C2311yescharacteristic
256#88191—21no—
257#88190C2311yescharacteristic
258#88189—21no—
259D4×Dic13C2311yescharacteristic
260D4×Dic13C2311yescharacteristic
261C2×#6105C2311yescharacteristic
262C2×#6105C2311yescharacteristic
263C2×#6104C2311yescharacteristic
264C2×#6104C2311yescharacteristic
265#88184—21no—
266#88184—21no—
267#88184D411yescharacteristic
268#88184C2311yescharacteristic
269#88184C2311yescharacteristic
270#88183—21no—
271#88183—21no—
272#88183—21no—
273#88183—21no—
274#88183—21no—
275#88183—21no—
276#88183—21no—
277#88183—21no—
278#88183—21no—
279#88183—21no—
280#88183—21no—
281#88183—21no—
282#88183D411yescharacteristic
283#88183D411yescharacteristic
284C4×C22⋊D13—21no—
285C4×C22⋊D13—21no—
286C4×C22⋊D13—21no—
287C4×C22⋊D13—21no—
288C4×C22⋊D13—21no—
289C4×C22⋊D13—21no—
290C4×C22⋊D13C2311yescharacteristic
291C4×C22⋊D13C2311yescharacteristic
292C2×#6103—21no—
293C2×#6103—21no—
294#88180—21no—
295#88180—21no—
296#88180—21no—
297#88178—21no—
298#88178—21no—
299#88178D411yescharacteristic
300#88178C2311yescharacteristic
301#88178C2311yescharacteristic
302C2×#6101—21no—
303C2×#6101—21no—
304C2×Dic52C2311yescharacteristic
305C2×D104C2311yescharacteristic
306C2×#6095C2311yescharacteristic
307C2×#6095C2311yescharacteristic
308C2×#6094C2311yescharacteristic
309C2×#6094C2311yescharacteristic
310C2×C8×D13C2311yescharacteristic
311C2×C8×D13C2311yescharacteristic
312#88152—21no—
313#88152—21no—
314#88152—21no—
315#88152—21no—
316#88152—21no—
317#88151—21no—
318#88151C2311yescharacteristic
319#88151C2311yescharacteristic
320#88151C2311yescharacteristic
321#88150—21no—
322#88150—21no—
323#88150—21no—
324#88150—21no—
325#88150—21no—
326#88149—21no—
327#88149C2311yescharacteristic
328#88149C2311yescharacteristic
329#88149C2311yescharacteristic
330#88148—21no—
331#88148—21no—
332#88148—21no—
333#88148—21no—
334#88148—21no—
335#88147—21no—
336#88147C2311yescharacteristic
337#88147C2311yescharacteristic
338#88147C2311yescharacteristic
339#88146—21no—
340#88146C2311yescharacteristic
341#88146C2311yescharacteristic
342#88146C2311yescharacteristic
343C4⋊C4×D13—21no—
344C4⋊C4×D13C2311yescharacteristic
345C4⋊C4×D13C2311yescharacteristic
346C4⋊C4×D13C2311yescharacteristic
347#88144—21no—
348#88144C2311yescharacteristic
349#88144C2311yescharacteristic
350#88144C2311yescharacteristic
351#88143—21no—
352#88143—21no—
353#88143—21no—
354#88143—21no—
355#88143—21no—
356#88142—21no—
357#88142C2311yescharacteristic
358#88142C2311yescharacteristic
359#88142C2311yescharacteristic
360#88141—21no—
361#88141C2311yescharacteristic
362#88141C2311yescharacteristic
363#88141C2311yescharacteristic
364#88140—21no—
365#88139—21no—
366#88139—21no—
367#88138—21no—
368#88138—21no—
369#88137—21no—
370#88137—21no—
371#88136—21no—
372#88135—21no—
373#88135—21no—
374C22⋊C4×D13—21no—
375#88133—21no—
376#88133—21no—
377#88132—21no—
378#88132—21no—
379#88131—21no—
380#88130—21no—
381#88130—21no—
382#88130D411yescharacteristic
383#88130D411yescharacteristic
384#88129D411yescharacteristic
385#88129C2311yescharacteristic
386#88129C2311yescharacteristic
387C4×D52C2311yescharacteristic
388C4×D52C2311yescharacteristic
389C4×D52C2311yescharacteristic
390#88126—21no—
391#88126—21no—
392#88126C2311yescharacteristic
393#88126C2311yescharacteristic
394#88124D411yescharacteristic
395#88124C2311yescharacteristic
396#88124C2311yescharacteristic
397C4×Dic26C2311yescharacteristic
398C4×Dic26C2311yescharacteristic
399C4×Dic26C2311yescharacteristic
400C13×#107C2311yescharacteristic
401C13×#107C2311yescharacteristic
402C13×#107C2311yescharacteristic
403C13×#107C2311yescharacteristic
404C13×#107C2311yescharacteristic
405C13×#107C2311yescharacteristic
406C13×#107C2311yescharacteristic
407C13×#107C2311yescharacteristic
408C13×C4⋊C8C2311yescharacteristic
409C13×C4⋊C8C2311yescharacteristic
410C13×C4⋊C8C2311yescharacteristic
411C13×C4⋊C8C2311yescharacteristic
412C13×#102C2311yescharacteristic
413C13×#102C2311yescharacteristic
414C13×#102C2311yescharacteristic
415C13×#102C2311yescharacteristic
416C13×#102C2311yescharacteristic
417C13×#102C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420#88072C2311yescharacteristic
421#88072C2311yescharacteristic
422#88072C2311yescharacteristic
423#88072C2311yescharacteristic
424C22⋊#1055C2311yescharacteristic
425C22⋊#1055C2311yescharacteristic
426#88061C2311yescharacteristic
427#88061C2311yescharacteristic
428#88061C2311yescharacteristic
429#88061C2311yescharacteristic
430#88060C2311yescharacteristic
431#88060C2311yescharacteristic
432#88060C2311yescharacteristic
433#88060C2311yescharacteristic
434#88058C2311yescharacteristic
435#88058C2311yescharacteristic
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#88050C2311yescharacteristic
455#88050C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88049C2311yescharacteristic
461#88049C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88048C2311yescharacteristic
467#88048C2311yescharacteristic
468#88047C2311yescharacteristic
469#88047C2311yescharacteristic
470#88047C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474C4⋊#1055C2311yescharacteristic
475C4⋊#1055C2311yescharacteristic
476#88043C2311yescharacteristic
477#88043C2311yescharacteristic
478#62155—131nomaximal, Sylow
479C24×C13—21no—
480C23×D13—21no—
481C2×Q8×C13—21no—
482C2×Q8×C13—21no—
483C2×Q8×C13—21no—
484C2×Q8×C13—21no—
485C2×Q8×C13—82no—
486C2×D4×C13—22no—
487C2×D4×C13—21no—
488C2×D4×C13—41no—
489C2×D4×C13C2411yescharacteristic
490C2×D4×C13C2411yescharacteristic
491C22×C4×C13—21no—
492C22×C4×C13—21no—
493C22×C4×C13—21no—
494C22×C4×C13—21no—
495C22×C4×C13—21no—
496C22×C4×C13—21no—
497C22×C4×C13—21no—
498C22×C4×C13—82no—
499C22×C4×C13C2×D411yescharacteristic
500C22×C4×C13C2×D411yescharacteristic
501C22×C4×C13C2411yescharacteristic
502C2×C22⋊D13—21no—
503C2×C22⋊D13—21no—
504C2×C22⋊D13—21no—
505C2×C22⋊D13—21no—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C2×C22⋊D13—21no—
510C2×C22⋊D13—82no—
511C2×C22⋊D13C2×D411yescharacteristic
512C2×C22⋊D13C2×D411yescharacteristic
513C22×Dic13—21no—
514C22×Dic13—21no—
515C22×Dic13—21no—
516#6129—22no—
517#6129—41no—
518D4×D13—22no—
519D4×D13—41no—
520#6127—82no—
521#6127—82no—
522#6127—82no—
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×D13C2411yescharacteristic
538C2×C4×D13C2411yescharacteristic
539C2×Dic26—21no—
540C2×Dic26—21no—
541C2×Dic26—21no—
542C2×Dic26C2×D411yescharacteristic
543C2×Dic26C2411yescharacteristic
544C2×Dic26C2411yescharacteristic
545C2×C8×C13—41no—
546C2×C8×C13—41no—
547C2×C8×C13C2411yescharacteristic
548C2×C8×C13C2411yescharacteristic
549C2×C8×C13C2411yescharacteristic
550C2×C8×C13C2411yescharacteristic
551C13×C4⋊C4—21no—
552C13×C4⋊C4—21no—
553C13×C4⋊C4—21no—
554C13×C4⋊C4—21no—
555C13×C4⋊C4—21no—
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4C2411yescharacteristic
559C13×C4⋊C4C2411yescharacteristic
560C13×C4⋊C4C2411yescharacteristic
561C13×C4⋊C4C2411yescharacteristic
562C13×C4⋊C4C2411yescharacteristic
563C13×C4⋊C4C2411yescharacteristic
564C13×C22⋊C4—21no—
565C13×C22⋊C4—21no—
566C13×C22⋊C4—21no—
567C13×C22⋊C4—21no—
568C42×C13C2×D411yescharacteristic
569C42×C13C2×D411yescharacteristic
570C42×C13C2411yescharacteristic
571C42×C13C2411yescharacteristic
572C22⋊Dic13—21no—
573C22⋊Dic13—21no—
574C22⋊Dic13—21no—
575C22⋊Dic13—21no—
576C22⋊Dic13—21no—
577C22⋊Dic13—21no—
578C22⋊Dic13—21no—
579C22⋊Dic13—21no—
580C22⋊Dic13C2×D411yescharacteristic
581C22⋊Dic13C2×D411yescharacteristic
582#6105—22no—
583#6105—41no—
584#6104—22no—
585#6104—41no—
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#6103—21no—
601#6103—21no—
602#6103—21no—
603#6103—21no—
604#6103—21no—
605#6103—21no—
606#6103C2×D411yescharacteristic
607#6103C2×D411yescharacteristic
608#6103C2×D411yescharacteristic
609#6103C2×D411yescharacteristic
610#6103C2×D411yescharacteristic
611#6103C2×D411yescharacteristic
612#6103C2×D411yescharacteristic
613#6103C2×D411yescharacteristic
614C4⋊Dic13—21no—
615C4⋊Dic13—21no—
616C4⋊Dic13—21no—
617C4⋊Dic13—21no—
618C4⋊Dic13—21no—
619C4⋊Dic13—21no—
620C4⋊Dic13C2×D411yescharacteristic
621C4⋊Dic13C2×D411yescharacteristic
622C4⋊Dic13C2411yescharacteristic
623C4⋊Dic13C2411yescharacteristic
624C4⋊Dic13C2411yescharacteristic
625C4⋊Dic13C2411yescharacteristic
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#6101—21no—
640#6101—21no—
641#6101—21no—
642#6101—21no—
643#6101—21no—
644#6101—21no—
645#6101—21no—
646#6101C2×D411yescharacteristic
647#6101C2×D411yescharacteristic
648#6101C2×D411yescharacteristic
649#6101C2×D411yescharacteristic
650#6101C2×D411yescharacteristic
651#6101C2×D411yescharacteristic
652#6101C2×D411yescharacteristic
653#6101C2×D411yescharacteristic
654C4×Dic13—21no—
655C4×Dic13—21no—
656C4×Dic13—21no—
657C4×Dic13—21no—
658C4×Dic13—21no—
659C4×Dic13—21no—
660C4×Dic13—21no—
661C4×Dic13—21no—
662C4×Dic13C2411yescharacteristic
663C4×Dic13C2411yescharacteristic
664C2×#1055C2411yescharacteristic
665C2×#1055C2411yescharacteristic
666C2×#1055C2411yescharacteristic
667C2×#1055C2411yescharacteristic
668Dic52—41no—
669D104—41no—
670#6095—41no—
671#6095—41no—
672#6094—41no—
673#6094—41no—
674C8×D13—41no—
675C8×D13—41no—
676#3544—131no—
677#3513—131no—
678#3389—131no—
679#3385—131no—
680#3375—131no—
681#3370—131no—
682#3347—131no—
683#3346—131no—
684#3343—131no—
685#3343—131no—
686#3336—131no—
687#3334—131no—
688#3319—131no—
689#3314—131no—
690#3310—131no—
691#3306—131no—
692#3296—131no—
693#3294—131no—
694#3262—131no—
695#3257—131no—
696#3250—131no—
697#3243—131no—
698#3241—131no—
699#3238—131no—
700#3124—131no—
701#3118—131no—
702#3114—131no—
703#3083—131no—
704#3081—131no—
705C2×#474D1311yescharacteristic, complemented
706#2992—131no—
707C23×C13—21no—
708C23×C13—21no—
709C23×C13—42no—
710C23×C13—42no—
711C23×C13—81no—
712C23×C13C22×D411yescharacteristic
713C22×D13—21no—
714C22×D13—21no—
715C22×D13—42no—
716C22×D13—81no—
717C22×D13—81no—
718C22×D13C22×D411yescharacteristic
719C22×D13C22×D411yescharacteristic
720Q8×C13—81no—
721Q8×C13—81no—
722Q8×C13—81no—
723Q8×C13—81no—
724D4×C13—21no—
725D4×C13—21no—
726D4×C13—21no—
727D4×C13—42no—
728D4×C132−1+412yes—
729C2×C4×C13—22no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—41no—
739C2×C4×C13—42no—
740C2×C4×C13—42no—
741C2×C4×C13—42no—
742C2×C4×C13—81no—
743C2×C4×C13—81no—
744C2×C4×C13—81no—
745C2×C4×C13—81no—
746C2×C4×C13C22×D411yescharacteristic
747C2×C4×C13C22×D411yescharacteristic
748C2×C4×C13C22×D411yescharacteristic
749C2×C4×C13C22×D411yescharacteristic
750C2×C4×C13C22×D411yescharacteristic
751C2×C4×C13C2511yescharacteristic
752C22⋊D13—22no—
753C22⋊D13—22no—
754C22⋊D13—42no—
755C22⋊D13—42no—
756C22⋊D13—42no—
757C22⋊D13—42no—
758C22⋊D13—81no—
759C22⋊D13—81no—
760C22⋊D13—81no—
761C22⋊D13—81no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—42no—
769C2×Dic13—81no—
770C2×Dic13—81no—
771C2×Dic13C22×D411yescharacteristic
772C2×Dic13C22×D411yescharacteristic
773C2×Dic13C22×D411yescharacteristic
774C2×Dic13C22×D411yescharacteristic
775C2×Dic13C22×D411yescharacteristic
776C2×Dic13C22×D411yescharacteristic
777D52—21no—
778D52—21no—
779D52—21no—
780D52—21no—
781D52—41no—
782D52—81no—
783D52—81no—
784D52—81no—
785C4×D13—21no—
786C4×D13—21no—
787C4×D13—21no—
788C4×D13—21no—
789C4×D13—42no—
790C4×D13—81no—
791C4×D13—81no—
792C4×D13—81no—
793C4×D13—81no—
794C4×D13—81no—
795C4×D13—81no—
796C4×D13—81no—
797Dic26—21no—
798Dic26—21no—
799Dic26—21no—
800Dic26—21no—
801Dic26—41no—
802Dic26—81no—
803Dic26—81no—
804Dic26—81no—
805C8×C13—21no—
806C8×C13—21no—
807C8×C13—21no—
808C8×C13—21no—
809#1055—21no—
810#1055—21no—
811#1055—21no—
812#1055—21no—
813#563—261no—
814#563—261no—
815#559—131no—
816Q82—131no—
817#555—131no—
818#554—131no—
819#554—131no—
820#554—131no—
821#553—131no—
822#553—261no—
823#552—131no—
824#552—131no—
825#552—131no—
826#552—261no—
827#551—261no—
828#551—261no—
829#547—131no—
830#547—131no—
831#547—131no—
832#547—261no—
833#546—131no—
834#546—131no—
835#546—261no—
836D42—131no—
837#544—131no—
838#544—131no—
839#544—261no—
840#542—131no—
841#542—131no—
842#542—131no—
843#542—261no—
844#540—131no—
845#539—261no—
846#538—261no—
847#536—261no—
848#536—261no—
849C2×C4⋊Q8C2×D1311yescharacteristic, complemented
850#529—131no—
851#529—131no—
852#529—131no—
853#525—261no—
854C2×#123—261no—
855#520—131no—
856#518—131no—
857C2×C4×D4C2×D1311yescharacteristic
858#501—131no—
859#501—131no—
860#501—131no—
861#501—131no—
862#500—131no—
863#499—131no—
864#490—131no—
865#489—131no—
866#489—131no—
867#489—131no—
868#488—131no—
869#486—131no—
870#485—131no—
871#485—131no—
872#484—131no—
873#484—131no—
874#483—131no—
875#483—131no—
876#483—131no—
877#482—131no—
878#482—131no—
879#482—131no—
880#482—131no—
881#481—131no—
882#480—131no—
883#480—131no—
884#480—131no—
885#480—131no—
886#480—131no—
887#480—131no—
888#479—131no—
889#479—131no—
890#479—131no—
891#479—131no—
892#478—131no—
893#478—131no—
894#478—131no—
895#478—131no—
896#478—131no—
897#478—131no—
898#478—131no—
899#478—131no—
900#477—131no—
901#477—131no—
902#477—131no—
903#477—131no—
904#476—131no—
905#476—131no—
906#476—131no—
907#474—131no—
908#474—131no—
909#474—131no—
910#474C2×D1311yescharacteristic
911#474C2×D1311yescharacteristic
912#474C2×D1311yescharacteristic
913#474C2×D1311yescharacteristic
914#474C2×D1311yescharacteristic, complemented
915#474C2×D1311yescharacteristic, complemented
916#474C2×D1311yescharacteristic, complemented
917#474C2×D1311yescharacteristic, complemented
918#469—131no—
919#468—131no—
920#468—131no—
921#468—131no—
922#467—131no—
923#467—131no—
924#466—131no—
925#466—131no—
926#466—131no—
927#465—131no—
928#465—131no—
929#465—131no—
930#464—131no—
931#464—131no—
932#464—131no—
933#463—131no—
934#463—131no—
935#463—131no—
936#463—131no—
937#463—131no—
938#460—131no—
939#459—131no—
940#452—131no—
941#450—131no—
942#450—131no—
943#449—131no—
944#447—131no—
945#447—131no—
946#446—131no—
947#446—131no—
948#442—131no—
949#442—131no—
950#442—131no—
951#440—131no—
952#440—131no—
953#440—131no—
954#440—131no—
955#440—131no—
956C4×Q16—131no—
957C4×SD16—131no—
958C4×D8—131no—
959C4×D8—131no—
960#435—131no—
961#435—131no—
962#435—131no—
963#435—131no—
964C8×D4—131no—
965C8×D4—131no—
966#433—131no—
967#433—131no—
968#432—131no—
969#428—131no—
970#428—131no—
971#427—131no—
972C2×#107—131no—
973C2×#107C2×D1311yescharacteristic, complemented
974C2×#107C2×D1311yescharacteristic, complemented
975#424—131no—
976#424—131no—
977C2×C4⋊C8C2×D1311yescharacteristic, complemented
978#418—131no—
979#417—131no—
980#416—131no—
981C2×#102—131no—
982C2×#102C2×D1311yescharacteristic
983C2×#102C2×D1311yescharacteristic
984C22×C13—21no—
985C22×C13—21no—
986C22×C13—22no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—84no—
993C22×C13#57612yes—
994C22×C13C23×D411yescharacteristic
995C2×D13—21no—
996C2×D13—21no—
997C2×D13—21no—
998C2×D13—21no—
999C2×D13—21no—
1000C2×D13—21no—
1001C2×D13—41no—
1002C2×D13—41no—
1003C2×D13—41no—
1004C2×D13—41no—
1005C2×D13—41no—
1006C2×D13—41no—
1007C2×D13—162no—
1008C4×C13—21no—
1009C4×C13—21no—
1010C4×C13—21no—
1011C4×C13—21no—
1012C4×C13—21no—
1013C4×C13—41no—
1014C4×C13—41no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13C2×2−1+411yescharacteristic
1020C4×C13#58511yescharacteristic
1021Dic13—21no—
1022Dic13—21no—
1023Dic13—21no—
1024Dic13—21no—
1025Dic13—21no—
1026Dic13—21no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033C2×#41—131no—
1034C2×#41—261no—
1035C2×#41—261no—
1036C2×#41—261no—
1037C22×Q8—21no—
1038C22×D4—131no—
1039C22×D4—261no—
1040C22×D4C22×D1311yescharacteristic
1041C23×C4—21no—
1042C2×Q16—131no—
1043C2×SD16—131no—
1044C2×SD16—131no—
1045C2×SD16—131no—
1046C2×SD16—131no—
1047C2×D8—131no—
1048C2×D8—131no—
1049C2×D8—131no—
1050C2×M16—131no—
1051C2×M16—131no—
1052C22×C8—131no—
1053C22×C8—131no—
1054C22×C8C22×D1311yescharacteristic
1055C22×C8C22×D1311yescharacteristic
1056C4⋊Q8—21no—
1057C4⋊Q8—21no—
1058C4⋊Q8—131no—
1059C4⋊Q8—131no—
1060C4⋊Q8—131no—
1061C4⋊Q8—261no—
1062C4⋊Q8—261no—
1063C4⋊Q8—261no—
1064C4⋊Q8—261no—
1065C4⋊Q8—261no—
1066C4⋊Q8C22×D1311yescharacteristic
1067C4⋊Q8C22×D1311yescharacteristic
1068C4⋊Q8C22×D1311yescharacteristic
1069C4⋊Q8C22×D1311yescharacteristic
1070#127—131no—
1071#126—131no—
1072#126—131no—
1073#126—261no—
1074#126—261no—
1075#126—261no—
1076#126—261no—
1077#126—261no—
1078#126—261no—
1079#126—261no—
1080#126—261no—
1081#126—261no—
1082#125—131no—
1083#125—131no—
1084#125—131no—
1085#125—131no—
1086#125—131no—
1087#125—131no—
1088#125—261no—
1089#125—261no—
1090#125—261no—
1091#125—261no—
1092#125—261no—
1093#125—261no—
1094#124—131no—
1095#124—131no—
1096#124—131no—
1097#124—131no—
1098#124—261no—
1099#124—261no—
1100#124—261no—
1101#124—261no—
1102#124—261no—
1103#124—261no—
1104#123—131no—
1105#123—131no—
1106#123—261no—
1107#123—261no—
1108#123—261no—
1109#123—261no—
1110#123—261no—
1111#123—261no—
1112#123—261no—
1113#123—261no—
1114#123—261no—
1115#123—261no—
1116#123—261no—
1117#123—261no—
1118#123—261no—
1119#123—261no—
1120#123—261no—
1121#123—261no—
1122#123—261no—
1123#123—261no—
1124#123—261no—
1125#123—261no—
1126#123—261no—
1127C22⋊Q8—131no—
1128C22⋊Q8—131no—
1129C22⋊Q8—131no—
1130C22⋊Q8—131no—
1131C22⋊Q8—131no—
1132C22⋊Q8—131no—
1133C22⋊Q8—261no—
1134C22⋊Q8—261no—
1135C22⋊Q8—261no—
1136C22⋊Q8—261no—
1137C22⋊Q8—261no—
1138C22⋊Q8—261no—
1139C22⋊Q8—261no—
1140C22⋊Q8—261no—
1141C22⋊Q8—261no—
1142C22⋊Q8—261no—
1143C22⋊Q8—261no—
1144C22⋊Q8—261no—
1145C22⋊Q8—261no—
1146C22⋊Q8—261no—
1147C22⋊Q8—261no—
1148C22⋊Q8—261no—
1149C22⋊Q8—261no—
1150C22⋊Q8—261no—
1151#121—131no—
1152#121—131no—
1153#121—131no—
1154#121—131no—
1155#121—131no—
1156#121—131no—
1157#121—131no—
1158#121—131no—
1159#121—261no—
1160#121—261no—
1161#121—261no—
1162#121—261no—
1163#121—261no—
1164#121—261no—
1165#121—261no—
1166#120—261no—
1167#120—261no—
1168#120—261no—
1169#120—261no—
1170C4×Q8—131no—
1171C4×Q8—131no—
1172C4×Q8—131no—
1173C4×Q8—131no—
1174C4×Q8—131no—
1175C4×Q8—131no—
1176C4×Q8—261no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—131no—
1180C4×D4—131no—
1181C4×D4—131no—
1182C4×D4—131no—
1183C4×D4—131no—
1184C4×D4—131no—
1185C4×D4—131no—
1186C4×D4—131no—
1187C4×D4—131no—
1188C4×D4—131no—
1189C4×D4—261no—
1190C4×D4—261no—
1191C4×D4—261no—
1192C4×D4—261no—
1193C4×D4—261no—
1194C4×D4—261no—
1195C4×D4—261no—
1196C4×D4—261no—
1197C4×D4—261no—
1198C4×D4C22×D1311yescharacteristic
1199C4×D4C22×D1311yescharacteristic
1200C4×D4C22×D1311yescharacteristic
1201C4×D4C22×D1311yescharacteristic
1202#117—131no—
1203#117—131no—
1204#117—131no—
1205#117—131no—
1206#117—131no—
1207#117—261no—
1208#117—261no—
1209#117—261no—
1210#117—261no—
1211#117—261no—
1212#117—261no—
1213#117—261no—
1214C2×C4⋊C4—21no—
1215C2×C4⋊C4—131no—
1216C2×C4⋊C4—131no—
1217C2×C4⋊C4—131no—
1218C2×C4⋊C4—261no—
1219C2×C4⋊C4—261no—
1220C2×C4⋊C4—261no—
1221C2×C4⋊C4C22×D1311yescharacteristic
1222C2×C4⋊C4C22×D1311yescharacteristic
1223C2×C4⋊C4C22×D1311yescharacteristic
1224C2×C22⋊C4—21no—
1225C2×C22⋊C4—261no—
1226C2×C22⋊C4—261no—
1227C2×C22⋊C4—261no—
1228C2×C22⋊C4—261no—
1229C2×C42C22×D1311yescharacteristic
1230#107—131no—
1231#107—131no—
1232#107—131no—
1233#107—131no—
1234#107—131no—
1235#107—131no—
1236#107—131no—
1237#107—131no—
1238#107C22×D1311yescharacteristic
1239#107C22×D1311yescharacteristic
1240#107C22×D1311yescharacteristic
1241#107C22×D1311yescharacteristic
1242#107C22×D1311yescharacteristic
1243#107C22×D1311yescharacteristic
1244#107C22×D1311yescharacteristic
1245#107C22×D1311yescharacteristic
1246#106—131no—
1247#106—131no—
1248#106—131no—
1249#106—131no—
1250#106—131no—
1251#106—131no—
1252#106—131no—
1253#106—131no—
1254C4⋊C8—131no—
1255C4⋊C8—131no—
1256C4⋊C8—131no—
1257C4⋊C8—131no—
1258C4⋊C8—131no—
1259C4⋊C8—131no—
1260C4⋊C8C22×D1311yescharacteristic
1261C4⋊C8C22×D1311yescharacteristic
1262C4⋊C8C22×D1311yescharacteristic
1263C4⋊C8C22×D1311yescharacteristic
1264#103—131no—
1265#103—131no—
1266#103—131no—
1267#103—131no—
1268#103—131no—
1269#103—131no—
1270#103—131no—
1271#103—131no—
1272#103—131no—
1273#103—131no—
1274#102—131no—
1275#102—131no—
1276#102—131no—
1277#102—131no—
1278#102—131no—
1279#102—131no—
1280#102—131no—
1281#102—131no—
1282#102—131no—
1283#102—131no—
1284#102—131no—
1285#102—131no—
1286#102—131no—
1287#102—131no—
1288#102C22×D1311yescharacteristic
1289#102C22×D1311yescharacteristic
1290#102C22×D1311yescharacteristic
1291#102C22×D1311yescharacteristic
1292#102C22×D1311yescharacteristic
1293#102C22×D1311yescharacteristic
1294#102C22×D1311yescharacteristic
1295#102C22×D1311yescharacteristic
1296C22⋊C8—131no—
1297C22⋊C8—131no—
1298C22⋊C8—131no—
1299C22⋊C8—131no—
1300C22⋊C8—131no—
1301C22⋊C8—131no—
1302#97—131no—
1303#97—131no—
1304#97—131no—
1305#97—131no—
1306C4×C8—131no—
1307C4×C8—131no—
1308C2×C13—22no—
1309C2×C13—42no—
1310C2×C13—81no—
1311C2×C13#348911yescharacteristic
1312C2×C13C2×#57611yescharacteristic
1313C2×C13#358611yescharacteristic
1314D13—41no—
1315D13—41no—
1316D13—81no—
1317D13—81no—
1318C24—21no—
1319C24—261no—
1320#41—262no—
1321#41—521no—
1322#41—1042no—
1323#41—1042no—
1324#41—1042no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—82no—
1330C2×Q8—131no—
1331C2×Q8—131no—
1332C2×Q8—131no—
1333C2×Q8—261no—
1334C2×Q8—261no—
1335C2×Q8—261no—
1336C2×D4—22no—
1337C2×D4—21no—
1338C2×D4—41no—
1339C2×D4—131no—
1340C2×D4—131no—
1341C2×D4—131no—
1342C2×D4—131no—
1343C2×D4—131no—
1344C2×D4—261no—
1345C2×D4—261no—
1346C2×D4—261no—
1347C2×D4—261no—
1348C2×D4—261no—
1349C2×D4—261no—
1350C2×D4—262no—
1351C2×D4—261no—
1352C2×D4—261no—
1353C2×D4—261no—
1354C2×D4—261no—
1355C2×D4—261no—
1356C2×D4—521no—
1357C2×D4—1042no—
1358C2×D4C23×D1311yescharacteristic
1359C2×D4C23×D1311yescharacteristic
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—82no—
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×C4D4×D1311yescharacteristic
1382C22×C4D4×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384Q16—521no—
1385SD16—262no—
1386SD16—521no—
1387SD16—521no—
1388SD16—521no—
1389D8—262no—
1390D8—521no—
1391D8—521no—
1392M16—521no—
1393M16—521no—
1394C2×C8—41no—
1395C2×C8—41no—
1396C2×C8—131no—
1397C2×C8—131no—
1398C2×C8—131no—
1399C2×C8—131no—
1400C2×C8—521no—
1401C2×C8—521no—
1402C2×C8C23×D1311yescharacteristic
1403C2×C8C23×D1311yescharacteristic
1404C2×C8C23×D1311yescharacteristic
1405C2×C8C23×D1311yescharacteristic
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—131no—
1414C4⋊C4—131no—
1415C4⋊C4—131no—
1416C4⋊C4—131no—
1417C4⋊C4—131no—
1418C4⋊C4—131no—
1419C4⋊C4—131no—
1420C4⋊C4—131no—
1421C4⋊C4—131no—
1422C4⋊C4—131no—
1423C4⋊C4—131no—
1424C4⋊C4—131no—
1425C4⋊C4—131no—
1426C4⋊C4—131no—
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⋊C4—261no—
1443C4⋊C4—261no—
1444C4⋊C4—261no—
1445C4⋊C4—261no—
1446C4⋊C4—261no—
1447C4⋊C4—261no—
1448C4⋊C4—261no—
1449C4⋊C4—261no—
1450C4⋊C4—261no—
1451C4⋊C4—261no—
1452C4⋊C4—261no—
1453C4⋊C4C23×D1311yescharacteristic
1454C4⋊C4C23×D1311yescharacteristic
1455C4⋊C4C23×D1311yescharacteristic
1456C4⋊C4C23×D1311yescharacteristic
1457C4⋊C4C23×D1311yescharacteristic
1458C4⋊C4C23×D1311yescharacteristic
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—131no—
1464C22⋊C4—131no—
1465C22⋊C4—131no—
1466C22⋊C4—131no—
1467C22⋊C4—131no—
1468C22⋊C4—131no—
1469C22⋊C4—131no—
1470C22⋊C4—131no—
1471C22⋊C4—131no—
1472C22⋊C4—131no—
1473C22⋊C4—261no—
1474C22⋊C4—261no—
1475C22⋊C4—261no—
1476C22⋊C4—261no—
1477C22⋊C4—261no—
1478C22⋊C4—261no—
1479C22⋊C4—261no—
1480C22⋊C4—261no—
1481C22⋊C4—261no—
1482C22⋊C4—261no—
1483C22⋊C4—261no—
1484C22⋊C4—261no—
1485C22⋊C4—261no—
1486C22⋊C4—261no—
1487C22⋊C4—261no—
1488C22⋊C4—261no—
1489C22⋊C4—261no—
1490C22⋊C4—261no—
1491C22⋊C4—261no—
1492C22⋊C4—261no—
1493C22⋊C4—261no—
1494C22⋊C4—261no—
1495C22⋊C4—261no—
1496C22⋊C4—261no—
1497C22⋊C4—261no—
1498C22⋊C4—261no—
1499C22⋊C4—261no—
1500C22⋊C4—261no—
1501C42—131no—
1502C42—131no—
1503C42—261no—
1504C42—261no—
1505C42—261no—
1506C42—261no—
1507C42—261no—
1508C42—261no—
1509C42—261no—
1510C42—261no—
1511C42D4×D1311yescharacteristic
1512C42D4×D1311yescharacteristic
1513C42C23×D1311yescharacteristic
1514C42C23×D1311yescharacteristic
1515C13#6215511yescharacteristic, complemented, Sylow
1516C23—21no—
1517C23—21no—
1518C23—42no—
1519C23—42no—
1520C23—81no—
1521C23—131no—
1522C23—131no—
1523C23—261no—
1524C23—261no—
1525C23—522no—
1526C23—1041no—
1527C23—1041no—
1528C23C2×D4×D1311yescharacteristic
1529Q8—81no—
1530Q8—81no—
1531Q8—81no—
1532Q8—81no—
1533Q8—261no—
1534Q8—261no—
1535Q8—261no—
1536Q8—261no—
1537Q8—521no—
1538Q8—1041no—
1539Q8—1041no—
1540Q8—1041no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—42no—
1545D4—262no—
1546D4—262no—
1547D4—261no—
1548D4—261no—
1549D4—261no—
1550D4—261no—
1551D4—521no—
1552D4—522no—
1553D4—522no—
1554D4—522no—
1555D4—522no—
1556D4—1041no—
1557D4—1041no—
1558D4—1041no—
1559D4—1041no—
1560D4—1041no—
1561D4—1041no—
1562D4—1041no—
1563D4#8825412yes—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—41no—
1574C2×C4—42no—
1575C2×C4—42no—
1576C2×C4—42no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—131no—
1582C2×C4—131no—
1583C2×C4—131no—
1584C2×C4—131no—
1585C2×C4—131no—
1586C2×C4—131no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—522no—
1598C2×C4—522no—
1599C2×C4—1041no—
1600C2×C4—1041no—
1601C2×C4—1041no—
1602C2×C4—1041no—
1603C2×C4—1041no—
1604C2×C4—1041no—
1605C2×C4—1041no—
1606C2×C4—1041no—
1607C2×C4—1041no—
1608C2×C4C2×D4×D1311yescharacteristic
1609C2×C4C2×D4×D1311yescharacteristic
1610C2×C4C2×D4×D1311yescharacteristic
1611C2×C4C2×D4×D1311yescharacteristic
1612C2×C4C2×D4×D1311yescharacteristic
1613C2×C4C24×D1311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—261no—
1619C8—261no—
1620C8—261no—
1621C8—261no—
1622C22—21no—
1623C22—21no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—84no—
1631C22—261no—
1632C22—261no—
1633C22—261no—
1634C22—261no—
1635C22—261no—
1636C22—261no—
1637C22—521no—
1638C22—521no—
1639C22—521no—
1640C22—521no—
1641C22—521no—
1642C22—521no—
1643C22—2082no—
1644C22#1171946212yes—
1645C22C22×D4×D1311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—261no—
1658C4—261no—
1659C4—261no—
1660C4—261no—
1661C4—261no—
1662C4—261no—
1663C4—521no—
1664C4—521no—
1665C4—521no—
1666C4—521no—
1667C4—521no—
1668C4—521no—
1669C4C2×#8825411yescharacteristic
1670C4#1171964811yescharacteristic
1671C2—22no—
1672C2—42no—
1673C2—81no—
1674C2—521no—
1675C2—521no—
1676C2—1041no—
1677C2—1041no—
1678C2#1312851211yescharacteristic
1679C2C2×#1171946211yescharacteristic
1680C2#1312961911yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#474C2
socleC22×C13C23×D4
hypercenterC2×#474D13
hypocenterC13#62155
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#474

Complements

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

NH ≅ G/Ntype
1. #13129180C2semidirect
2. #13128776C2semidirect
3. #13127789C2semidirect
4. #13127741C2semidirect
5. #13127653C2semidirect
6. #13127596C2semidirect
7. #13127343C2semidirect
8. #13127318C2semidirect
9. #13127272C2semidirect
10. #13127272C2semidirect
11. #13127200C2semidirect
12. #13127181C2semidirect
13. #13126989C2semidirect
14. #13126914C2semidirect
15. #13126853C2semidirect
16. #13126793C2semidirect
17. #13126667C2semidirect
18. #13126645C2semidirect
19. #13126296C2semidirect
20. #13126254C2semidirect
21. #13126188C2semidirect
22. #13126116C2semidirect
23. #13126096C2semidirect
24. #13126057C2semidirect
25. #13125103C2semidirect
26. #13125027C2semidirect
27. #13124974C2semidirect
28. #13124682C2semidirect
29. #13124660C2semidirect
30. #13123972C2semidirect
31. C2×C13×#474C2semidirect
32. C2×C13×C4⋊Q8C22semidirect
42. #11719439C22semidirect
44. #11719438C22semidirect
45. #11719438C22semidirect
46. #11719435C22semidirect
47. #11719435C22semidirect
49. #11719434C22semidirect
50. #11719434C22semidirect
51. #11719427C22semidirect
67. #11719218C22semidirect
71. #11719212C22semidirect
76. #11719184C22semidirect
81. C13×#474C22semidirect
82. C13×#474C22semidirect
83. C13×#474C22semidirect
84. C13×#474C22semidirect
85. C2×C13×#107C22semidirect
86. C2×C13×#107C22semidirect
87. C2×C13×C4⋊C8C22semidirect
92. #11718777C22semidirect
95. #11718775C22semidirect
97. #11718772C22semidirect
99. C8×C22⋊D13C22semidirect
100. #11718752C22semidirect
101. #11718752C22semidirect
102. #11718750C22semidirect
103. #11718750C22semidirect
104. #11718745C22semidirect
105. #11718745C22semidirect
106. #11718741C22semidirect
107. #11718741C22semidirect
109. #11718679C22semidirect
111. #11718677C22semidirect
113. #11718675C22semidirect
115. #11718670C22semidirect
116. #11718632C22semidirect
117. #11718632C22semidirect
118. #11718632C22semidirect
121. #11718628C22semidirect
122. #11718587C22semidirect
123. #11718552C22semidirect
124. #11718552C22semidirect
125. #11718551C22semidirect
126. #11718551C22semidirect
127. #11718550C22semidirect
128. #11718550C22semidirect
129. #11718549C22semidirect
130. #11718549C22semidirect
131. #11718548C22semidirect
132. #11718547C22semidirect
133. #11718547C22semidirect
134. #11718546C22semidirect
135. #11718546C22semidirect
136. #11718545C22semidirect
137. #11718545C22semidirect
138. #11718544C22semidirect
139. #11718543C22semidirect
140. #11718543C22semidirect
141. #11718542C22semidirect
142. #11718542C22semidirect
143. #11718541C22semidirect
144. D13×#107C22semidirect
145. #11718539C22semidirect
146. #11718538C22semidirect
147. #11718538C22semidirect
148. #11718537C22semidirect
149. #11718537C22semidirect
150. #11718536C22semidirect
151. #11718536C22semidirect
152. #11718535C22semidirect
153. #11718534C22semidirect
154. #11718533C22semidirect
155. #11718508C22semidirect
156. #11718508C22semidirect
157. #11718506C22semidirect
158. #11718506C22semidirect
159. #11718505C22semidirect
160. #11718505C22semidirect
161. #11718501C22semidirect
162. #11718501C22semidirect
163. #11718500C22semidirect
164. #11718500C22semidirect
165. #11718497C22semidirect
166. #11718497C22semidirect
167. #11718490C22semidirect
168. #11718490C22semidirect
169. #11718489C22semidirect
170. #11718489C22semidirect
171. #11718448C22semidirect
174. #11718445C22semidirect
176. #11718443C22semidirect
180. #11718439C22semidirect
181. #11718438C22semidirect
190. #11718429C22semidirect
191. #11718428C22semidirect
193. #11718426C22semidirect
705. C2×#474D13semidirect
849. C2×C4⋊Q8C2×D13semidirect
914. #474C2×D13semidirect
915. #474C2×D13semidirect
916. #474C2×D13semidirect
917. #474C2×D13semidirect
973. C2×#107C2×D13semidirect
974. C2×#107C2×D13semidirect
977. C2×C4⋊C8C2×D13semidirect
1515. C13#62155semidirect

Maximal subgroups

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

subgroupindex
#131291802
#131287762
#131277892
#131277412
#131276532
#131275962
#131273432
#131273182
#131272722
#131272002
#131271812
#131269892
#131269142
#131268532
#131267932
#131266672
#131266452
#131262962
#131262542
#131261882
#131261162
#131260962
#131260572
#131251032
#131250272
#131249742
#131246822
#131246602
#131239722
C2×C13×#4742
#6215513