Finite Group Databasebeta

← #16744856

Subgroups — #16744856

Order 3328.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128450C211yesmaximal, characteristic, complemented
2#13128323C211yesmaximal, characteristic, complemented
3#13127857C211yesmaximal, characteristic, complemented
4#13127754C211yesmaximal, characteristic, complemented
5#13127568C211yesmaximal, characteristic, complemented
6#13127557C211yesmaximal, characteristic, complemented
7#13127277C211yesmaximal, characteristic, complemented
8#13127181C211yesmaximal, characteristic, complemented
9#13126860C211yesmaximal, characteristic, complemented
10#13126851C211yesmaximal, characteristic, complemented
11#13126830C211yesmaximal, characteristic, complemented
12#13126821C211yesmaximal, characteristic, complemented
13#13126699C211yesmaximal, characteristic, complemented
14#13126647C211yesmaximal, characteristic, complemented
15#13126529C211yesmaximal, characteristic, complemented
16#13126338C211yesmaximal, characteristic, complemented
17#13126336C211yesmaximal, characteristic, complemented
18#13125549C211yesmaximal, characteristic, complemented
19#13125536C211yesmaximal, characteristic, complemented
20#13125527C211yesmaximal, characteristic, complemented
21#13124982C211yesmaximal, characteristic, complemented
22#13124979C211yesmaximal, characteristic, complemented
23#13124977C211yesmaximal, characteristic, complemented
24#13124960C211yesmaximal, characteristic, complemented
25#13124955C211yesmaximal, characteristic, complemented
26#13124932C211yesmaximal, characteristic, complemented
27#13123846C211yesmaximal, characteristic, complemented
28#13123643C211yesmaximal, characteristic, complemented
29C2×#11718550C211yesmaximal, characteristic, complemented
30D13×#440C211yesmaximal, characteristic, complemented
31C13×#3343C211yesmaximal, characteristic, complemented
32C2×#41×D13—21no—
33C13×#552C2211yescharacteristic, complemented
34C13×#547C2211yescharacteristic
35#11719534—21no—
36C2×SD16×D13C2211yescharacteristic
37C2×#88162C2211yescharacteristic
38C22×#6095C2211yescharacteristic
39#11719432C2211yescharacteristic
40#11719430C2211yescharacteristic
41#11719411—21no—
42#11719407—21no—
43#11719398—21no—
44#11719396C2211yescharacteristic, complemented
45#11719393—21no—
46#11719390C2211yescharacteristic, complemented
47#11719361—21no—
48#11719361—21no—
49#11719360—21no—
50#11719359—21no—
51#11719359—21no—
52#11719354—21no—
53#11719338—21no—
54#11719338C2211yescharacteristic, complemented
55#11719337C2211yescharacteristic, complemented
56#11719332—21no—
57#11719329C2211yescharacteristic, complemented
58#11719327C2211yescharacteristic, complemented
59#11719314C2211yescharacteristic
60#11719314C2211yescharacteristic
61#11719301C2211yescharacteristic
62#11719301C2211yescharacteristic
63C4×Q8×D13C2211yescharacteristic, complemented
64#11719273C2211yescharacteristic, complemented
65#11719258C2211yescharacteristic
66#11719257C2211yescharacteristic, complemented
67D4×D52C2211yescharacteristic
68C4×D4×D13C2211yescharacteristic
69C4×#6129C2211yescharacteristic
70#11719236—21no—
71#11719234C2211yescharacteristic, complemented
72#11719227—21no—
73#11719227C2211yescharacteristic, complemented
74#11719212C2211yescharacteristic
75#11719212C2211yescharacteristic
76#11719212C2211yescharacteristic, complemented
77C2×#88147C2211yescharacteristic
78C2×#88147C2211yescharacteristic
79C2×#88141C2211yescharacteristic, complemented
80C13×#501C2211yescharacteristic, complemented
81C13×#484C2211yescharacteristic, complemented
82C13×#483C2211yescharacteristic, complemented
83C13×#482C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic, complemented
85C13×#478C2211yescharacteristic, complemented
86C13×#477C2211yescharacteristic, complemented
87C13×#468C2211yescharacteristic, complemented
88C13×#465C2211yescharacteristic, complemented
89C13×#440C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic, complemented
91C13×#428C2211yescharacteristic, complemented
92C2×C13×#107C2211yescharacteristic, complemented
93#11718837C2211yescharacteristic, complemented
94#11718836C2211yescharacteristic, complemented
95#11718825C2211yescharacteristic, complemented
96#11718795C2211yescharacteristic, complemented
97#11718788C2211yescharacteristic, complemented
98M16×Dic13C2211yescharacteristic, complemented
99#11718776C2211yescharacteristic, complemented
100C8×C22⋊D13C2211yescharacteristic, complemented
101C2×#88055C2211yescharacteristic, complemented
102#11718752C2211yescharacteristic, complemented
103#11718750C2211yescharacteristic, complemented
104#11718728C2211yescharacteristic, complemented
105#11718727C2211yescharacteristic
106#11718710C2211yescharacteristic, complemented
107#11718709C2211yescharacteristic, complemented
108#11718707C2211yescharacteristic
109#11718707C2211yescharacteristic
110#11718703C2211yescharacteristic, complemented
111#11718701C2211yescharacteristic, complemented
112#11718699C2211yescharacteristic, complemented
113#11718698C2211yescharacteristic, complemented
114#11718688C2211yescharacteristic, complemented
115#11718687C2211yescharacteristic
116#11718679C2211yescharacteristic, complemented
117#11718677C2211yescharacteristic, complemented
118#11718672C2211yescharacteristic, complemented
119#11718664C2211yescharacteristic, complemented
120#11718662C2211yescharacteristic
121#11718631C2211yescharacteristic, complemented
122C2×#88050C2211yescharacteristic, complemented
123#11718628C2211yescharacteristic, complemented
124#11718628C2211yescharacteristic, complemented
125#11718627C2211yescharacteristic, complemented
126C2×#88049C2211yescharacteristic
127#11718551C2211yescharacteristic
128#11718551C2211yescharacteristic, complemented
129#11718551C2211yescharacteristic, complemented
130#11718550C2211yescharacteristic
131#11718550C2211yescharacteristic
132#11718550C2211yescharacteristic
133#11718550C2211yescharacteristic
134#11718550C2211yescharacteristic, complemented
135#11718550C2211yescharacteristic, complemented
136#11718550C2211yescharacteristic, complemented
137#11718550C2211yescharacteristic, complemented
138#11718550C2211yescharacteristic, complemented
139#11718550C2211yescharacteristic, complemented
140#11718544C2211yescharacteristic, complemented
141#11718544C2211yescharacteristic, complemented
142#11718543C2211yescharacteristic, complemented
143#11718543C2211yescharacteristic, complemented
144#11718543C2211yescharacteristic, complemented
145D13×#107C2211yescharacteristic, complemented
146#11718536C2211yescharacteristic, complemented
147#11718536C2211yescharacteristic, complemented
148#11718535C2211yescharacteristic, complemented
149#11718533C2211yescharacteristic
150#11718533C2211yescharacteristic, complemented
151#11718532C2211yescharacteristic
152#11718532C2211yescharacteristic, complemented
153#11718530C2211yescharacteristic
154#11718530C2211yescharacteristic, complemented
155#11718530C2211yescharacteristic, complemented
156#11718525C2211yescharacteristic, complemented
157#11718525C2211yescharacteristic, complemented
158#11718523C2211yescharacteristic, complemented
159#11718517C2211yescharacteristic, complemented
160#11718515C2211yescharacteristic, complemented
161#11718513C2211yescharacteristic
162#11718513C2211yescharacteristic, complemented
163#11718509C2211yescharacteristic, complemented
164#11718505C2211yescharacteristic
165#11718496C2211yescharacteristic, complemented
166#11718489C2211yescharacteristic, complemented
167#11718480C2211yescharacteristic
168#11718480C2211yescharacteristic, complemented
169#11718479C2211yescharacteristic
170#11718479C2211yescharacteristic, complemented
171#11718478C2211yescharacteristic
172#11718478C2211yescharacteristic, complemented
173#11718478C2211yescharacteristic, complemented
174#11718467C2211yescharacteristic, complemented
175#11718467C2211yescharacteristic, complemented
176D13×#103C2211yescharacteristic, complemented
177#11718456C2211yescharacteristic, complemented
178#11718453C2211yescharacteristic, complemented
179#11718447C2211yescharacteristic, complemented
180#11718446C2211yescharacteristic, complemented
181#11718437C2211yescharacteristic
182#11718434C2211yescharacteristic
183D13×#102C2211yescharacteristic
184#11718425C2211yescharacteristic, complemented
185#11718423C2211yescharacteristic, complemented
186#11718423C2211yescharacteristic, complemented
187#11718423C2211yescharacteristic, complemented
188#11718421C2211yescharacteristic, complemented
189#11718418C2211yescharacteristic, complemented
190#11718418C2211yescharacteristic, complemented
191#11718399C2211yescharacteristic, complemented
192#11718395C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic
194#11718392C2211yescharacteristic
195#11718389C2211yescharacteristic, complemented
196#11718386C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199#11718373C2211yescharacteristic, complemented
200#11718371C2211yescharacteristic
201D13×#97C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204#41×D13—48no—
205C2×#6131—21no—
206C2×Q8×D13—21no—
207C2×Q8×D13C2311yescharacteristic
208C2×#6129—21no—
209C2×#6129—21no—
210C2×#6129D411yescharacteristic
211C2×D4×D13—21no—
212C2×D4×D13—21no—
213C2×D4×D13—21no—
214C2×D4×D13C2311yescharacteristic
215C2×#6127—21no—
216C2×#6127—21no—
217C2×#6127—21no—
218C2×#6127—21no—
219C2×#6127C2311yescharacteristic
220C22×D52C2311yescharacteristic
221C22×D52C2311yescharacteristic
222C22×C4×D13—21no—
223C22×C4×D13—21no—
224C22×C4×D13—21no—
225C22×Dic26C2311yescharacteristic
226C2×C13×SD16C2311yescharacteristic
227C2×C13×M16C2311yescharacteristic
228C22×C8×C13C2311yescharacteristic
229C13×C4⋊Q8C2311yescharacteristic
230C13×#126—21no—
231C13×#125—21no—
232C13×#125C2311yescharacteristic
233C13×#123—21no—
234C13×#123—21no—
235C13×#123—21no—
236C13×C22⋊Q8—21no—
237C13×C22⋊Q8C2311yescharacteristic
238C13×C22⋊Q8C2311yescharacteristic
239C13×#121C2311yescharacteristic
240C13×#121C2311yescharacteristic
241C4×Q8×C13C2311yescharacteristic
242C4×D4×C13C2311yescharacteristic
243C4×D4×C13C2311yescharacteristic
244C13×#117—21no—
245C13×#117C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249#88201—21no—
250#88201C2311yescharacteristic
251#88200—21no—
252Q8×Dic13C2311yescharacteristic
253#88198C2311yescharacteristic
254C2×#6106C2311yescharacteristic
255C2×#6106C2311yescharacteristic
256C2×#6106C2311yescharacteristic
257#88194C2311yescharacteristic
258#88194C2311yescharacteristic
259#88193—21no—
260#88193—21no—
261#88193—21no—
262#88191—21no—
263#88191—21no—
264D4×Dic13D411yescharacteristic
265D4×Dic13C2311yescharacteristic
266C2×#6105C2311yescharacteristic
267C2×#6105C2311yescharacteristic
268C2×#6104C2311yescharacteristic
269#88184—21no—
270#88184C2311yescharacteristic
271#88184C2311yescharacteristic
272#88184C2311yescharacteristic
273#88183—21no—
274#88183—21no—
275#88183—21no—
276C4×C22⋊D13—21no—
277C4×C22⋊D13C2311yescharacteristic
278C4×C22⋊D13C2311yescharacteristic
279C2×#6103—21no—
280C2×#6103—21no—
281#88178C2311yescharacteristic
282C2×#6101—21no—
283C2×C4×Dic13—21no—
284C2×C4×Dic13C2311yescharacteristic
285C2×C4×Dic13C2311yescharacteristic
286C2×#6099C2311yescharacteristic
287C22×#1055C2311yescharacteristic
288SD16×D13—24no—
289#88162—24no—
290C2×D104C2311yescharacteristic
291C2×D104C2311yescharacteristic
292C2×D104C2311yescharacteristic
293C2×#6095—24no—
294C2×#6095C2311yescharacteristic
295C2×#6095C2311yescharacteristic
296C2×#6095C2311yescharacteristic
297C2×#6095C2311yescharacteristic
298C2×#6095C2311yescharacteristic
299C2×#6095C2311yescharacteristic
300C2×C8×D13C2311yescharacteristic
301C2×C8×D13C2311yescharacteristic
302#88152—21no—
303#88152—21no—
304#88152—21no—
305#88151C2311yescharacteristic
306#88150—21no—
307#88150—21no—
308#88150—21no—
309#88150—21no—
310#88150—21no—
311#88150—21no—
312#88150—21no—
313#88150—21no—
314#88150—21no—
315#88149—21no—
316#88149—21no—
317#88149C2311yescharacteristic
318#88149C2311yescharacteristic
319#88149C2311yescharacteristic
320#88148—21no—
321#88148—21no—
322#88148—21no—
323#88148—21no—
324#88147—21no—
325#88147—21no—
326#88147—21no—
327#88147—21no—
328#88147—21no—
329#88147—21no—
330#88147—21no—
331#88147C2311yescharacteristic
332#88147C2311yescharacteristic
333#88147C2311yescharacteristic
334#88147C2311yescharacteristic
335#88147C2311yescharacteristic
336#88147C2311yescharacteristic
337#88147C2311yescharacteristic
338#88147C2311yescharacteristic
339#88147C2311yescharacteristic
340#88146—21no—
341#88146—21no—
342#88146D411yescharacteristic
343C4⋊C4×D13—21no—
344C4⋊C4×D13C2311yescharacteristic
345C4⋊C4×D13C2311yescharacteristic
346#88144C2311yescharacteristic
347#88143—21no—
348#88143—21no—
349#88143—21no—
350#88142—21no—
351#88142—21no—
352#88142C2311yescharacteristic
353#88142C2311yescharacteristic
354#88142C2311yescharacteristic
355#88141—21no—
356#88141—21no—
357#88141—21no—
358#88141—21no—
359#88141—21no—
360#88141D411yescharacteristic
361#88141C2311yescharacteristic
362#88141C2311yescharacteristic
363#88141C2311yescharacteristic
364#88141C2311yescharacteristic
365#88141C2311yescharacteristic
366#88140—21no—
367#88139—21no—
368#88139—21no—
369#88139—21no—
370#88139—21no—
371#88138—21no—
372#88138—21no—
373#88138—21no—
374#88138—21no—
375#88138—21no—
376#88137—21no—
377#88136—21no—
378#88136—21no—
379#88136—21no—
380#88136—21no—
381#88135—21no—
382#88135—21no—
383#88135—21no—
384#88135—21no—
385#88135—21no—
386#88135—21no—
387#88135—21no—
388#88135—21no—
389#88135D411yescharacteristic
390#88135D411yescharacteristic
391C22⋊C4×D13—21no—
392#88133—21no—
393#88132—21no—
394#88132—21no—
395#88131—21no—
396#88131D411yescharacteristic
397#88131D411yescharacteristic
398#88130—21no—
399#88129C2311yescharacteristic
400#88128C2311yescharacteristic
401C4×D52C2311yescharacteristic
402#88126—21no—
403#88126—21no—
404#88126—21no—
405C42×D13—21no—
406C42×D13—21no—
407C42×D13C2311yescharacteristic
408#88124—21no—
409C4×Dic26—21no—
410C4×Dic26C2311yescharacteristic
411C4×Dic26C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#107C2311yescharacteristic
414C13×#107C2311yescharacteristic
415C13×#107C2311yescharacteristic
416C13×#107C2311yescharacteristic
417C13×#107C2311yescharacteristic
418C13×#106C2311yescharacteristic
419C13×#106C2311yescharacteristic
420C13×#106C2311yescharacteristic
421C13×C4⋊C8C2311yescharacteristic
422C13×#103C2311yescharacteristic
423C13×#103C2311yescharacteristic
424C13×#103C2311yescharacteristic
425C13×#102C2311yescharacteristic
426C13×#102C2311yescharacteristic
427C13×#102C2311yescharacteristic
428C13×C22⋊C8C2311yescharacteristic
429C13×C22⋊C8C2311yescharacteristic
430C13×#97C2311yescharacteristic
431#88075C2311yescharacteristic
432#88072C2311yescharacteristic
433C22⋊#1055C2311yescharacteristic
434C22⋊#1055C2311yescharacteristic
435#88061C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88060C2311yescharacteristic
440#88060C2311yescharacteristic
441#88058C2311yescharacteristic
442#88056C2311yescharacteristic
443#88056C2311yescharacteristic
444#88055C2311yescharacteristic
445#88055C2311yescharacteristic
446#88055C2311yescharacteristic
447#88055C2311yescharacteristic
448#88055C2311yescharacteristic
449#88055C2311yescharacteristic
450#88054C2311yescharacteristic
451#88054C2311yescharacteristic
452#88054C2311yescharacteristic
453#88054C2311yescharacteristic
454C8×Dic13C2311yescharacteristic
455C8×Dic13C2311yescharacteristic
456#88050C2311yescharacteristic
457#88050C2311yescharacteristic
458#88050C2311yescharacteristic
459#88050C2311yescharacteristic
460#88050C2311yescharacteristic
461#88050C2311yescharacteristic
462#88049C2311yescharacteristic
463#88049C2311yescharacteristic
464#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88049C2311yescharacteristic
471#88049C2311yescharacteristic
472#88049C2311yescharacteristic
473#88049C2311yescharacteristic
474#88048C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479#88047C2311yescharacteristic
480C4⋊#1055C2311yescharacteristic
481#88043C2311yescharacteristic
482#61452—131nomaximal, Sylow
483C23×D13—21no—
484C23×D13—21no—
485C23×D13—21no—
486C13×#41—44no—
487C2×Q8×C13—21no—
488C2×Q8×C13C2411yescharacteristic
489C2×D4×C13—21no—
490C2×D4×C13—21no—
491C2×D4×C13C2×D411yescharacteristic
492C2×D4×C13C2411yescharacteristic
493C22×C4×C13—21no—
494C22×C4×C13—21no—
495C22×C4×C13—21no—
496C22×C4×C13—21no—
497C22×C4×C13C2411yescharacteristic
498C22×C4×C13C2411yescharacteristic
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
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⋊D13C2×D411yescharacteristic
509C2×C22⋊D13C2×D411yescharacteristic
510C22×Dic13—21no—
511C22×Dic13—21no—
512C22×Dic13C2×D411yescharacteristic
513C22×Dic13C2×D411yescharacteristic
514C22×Dic13C2×D411yescharacteristic
515C22×Dic13C2×D411yescharacteristic
516#6131—44no—
517Q8×D13—22no—
518Q8×D13—41no—
519Q8×D13—44no—
520#6129—24no—
521#6129—44no—
522#6129—44no—
523D4×D13—22no—
524D4×D13—41no—
525D4×D13—44no—
526D4×D13—44no—
527D4×D13—44no—
528#6127—22no—
529#6127—41no—
530#6127—44no—
531#6127—44no—
532#6127—44no—
533#6127—44no—
534C2×D52—22no—
535C2×D52—22no—
536C2×D52—21no—
537C2×D52—21no—
538C2×D52—21no—
539C2×D52—21no—
540C2×D52—21no—
541C2×D52—21no—
542C2×D52—21no—
543C2×D52—41no—
544C2×D52—41no—
545C2×D52C2411yescharacteristic
546C2×D52C2411yescharacteristic
547C2×D52C2411yescharacteristic
548C2×D52C2411yescharacteristic
549C2×C4×D13—21no—
550C2×C4×D13—21no—
551C2×C4×D13—21no—
552C2×C4×D13—21no—
553C2×C4×D13—21no—
554C2×C4×D13—21no—
555C2×C4×D13—21no—
556C2×C4×D13—21no—
557C2×C4×D13—21no—
558C2×C4×D13—21no—
559C2×C4×D13—21no—
560C2×C4×D13—21no—
561C2×C4×D13—21no—
562C2×C4×D13—21no—
563C2×C4×D13—44no—
564C2×C4×D13—44no—
565C2×C4×D13—44no—
566C2×C4×D13C2×D411yescharacteristic
567C2×C4×D13C2×D411yescharacteristic
568C2×C4×D13C2411yescharacteristic
569C2×Dic26—22no—
570C2×Dic26—21no—
571C2×Dic26—21no—
572C2×Dic26—21no—
573C2×Dic26—21no—
574C2×Dic26—21no—
575C2×Dic26—41no—
576C2×Dic26C2×D411yescharacteristic
577C2×Dic26C2411yescharacteristic
578C2×Dic26C2411yescharacteristic
579C13×SD16—22no—
580C13×M16—22no—
581C2×C8×C13—22no—
582C2×C8×C13C2411yescharacteristic
583C2×C8×C13C2411yescharacteristic
584C2×C8×C13C2411yescharacteristic
585C2×C8×C13C2411yescharacteristic
586C13×C4⋊C4—21no—
587C13×C4⋊C4—21no—
588C13×C4⋊C4—21no—
589C13×C4⋊C4—21no—
590C13×C4⋊C4—21no—
591C13×C4⋊C4—21no—
592C13×C4⋊C4—21no—
593C13×C4⋊C4—21no—
594C13×C4⋊C4—21no—
595C13×C4⋊C4C2×D411yescharacteristic
596C13×C4⋊C4C2411yescharacteristic
597C13×C4⋊C4C2411yescharacteristic
598C13×C4⋊C4C2411yescharacteristic
599C13×C4⋊C4C2411yescharacteristic
600C13×C4⋊C4C2411yescharacteristic
601C13×C4⋊C4C2411yescharacteristic
602C13×C22⋊C4—21no—
603C13×C22⋊C4—21no—
604C13×C22⋊C4—21no—
605C13×C22⋊C4—21no—
606C13×C22⋊C4—21no—
607C13×C22⋊C4—21no—
608C13×C22⋊C4C2×D411yescharacteristic
609C13×C22⋊C4C2×D411yescharacteristic
610C42×C13—21no—
611C42×C13—21no—
612C42×C13C2411yescharacteristic
613C22⋊Dic13—21no—
614C22⋊Dic13—21no—
615C22⋊Dic13C2×D411yescharacteristic
616C22⋊Dic13C2×D411yescharacteristic
617#6106—22no—
618#6106—41no—
619#6106—41no—
620#6105—22no—
621#6105—41no—
622#6104—41no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103—21no—
632#6103—21no—
633#6103—21no—
634#6103—21no—
635#6103—21no—
636#6103—21no—
637#6103—21no—
638#6103—21no—
639#6103—21no—
640#6103—21no—
641#6103—21no—
642#6103—21no—
643#6103—21no—
644#6103C2×D411yescharacteristic
645#6103C2×D411yescharacteristic
646C4⋊Dic13—21no—
647C4⋊Dic13—21no—
648C4⋊Dic13—21no—
649C4⋊Dic13C2×D411yescharacteristic
650C4⋊Dic13C2411yescharacteristic
651C4⋊Dic13C2411yescharacteristic
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665#6101—21no—
666#6101—21no—
667#6101C2×D411yescharacteristic
668#6101C2×D411yescharacteristic
669#6101C2×D411yescharacteristic
670#6101C2×D411yescharacteristic
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13—21no—
676C4×Dic13—21no—
677C4×Dic13—21no—
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2×D411yescharacteristic
680C4×Dic13C2×D411yescharacteristic
681C4×Dic13C2×D411yescharacteristic
682C4×Dic13C2×D411yescharacteristic
683C4×Dic13C2×D411yescharacteristic
684C4×Dic13C2411yescharacteristic
685C4×Dic13C2411yescharacteristic
686C4×Dic13C2411yescharacteristic
687#6099—41no—
688C2×#1055—41no—
689C2×#1055C2411yescharacteristic
690C2×#1055C2411yescharacteristic
691C2×#1055C2411yescharacteristic
692C2×#1055C2411yescharacteristic
693D104—22no—
694D104—22no—
695D104—41no—
696#6095—22no—
697#6095—22no—
698#6095—22no—
699#6095—22no—
700#6095—41no—
701#6095#4114yescomplemented
702C8×D13—22no—
703C8×D13—41no—
704#3482—131no—
705D4×#41—131no—
706#3397—131no—
707#3386—131no—
708#3368—131no—
709#3367—131no—
710#3343—131no—
711#3343D1311yescharacteristic, complemented
712#3334—131no—
713#3310—131no—
714#3310—131no—
715#3308—131no—
716#3308—131no—
717#3298—131no—
718#3294—131no—
719D4×SD16—131no—
720#3265—131no—
721#3265—131no—
722#3182—131no—
723#3180—131no—
724#3180—131no—
725#3115—131no—
726#3114—131no—
727#3114—131no—
728#3112—131no—
729#3112—131no—
730#3110—131no—
731#2970—131no—
732C4×AGL(1,ℤ/8)—131no—
733C2×#440—131no—
734C2×#440—131no—
735C23×C13—21no—
736C23×C13C22×D411yescharacteristic
737C23×C13C22×D411yescharacteristic
738C22×D13—21no—
739C22×D13—21no—
740C22×D13—21no—
741C22×D13—21no—
742C22×D13—42no—
743C22×D13—42no—
744C22×D13—42no—
745C22×D13—42no—
746C22×D13—42no—
747C22×D13—42no—
748C22×D13—81no—
749C22×D13—81no—
750C22×D13—81no—
751C22×D13C22×D411yescharacteristic
752Q8×C13—21no—
753Q8×C13—21no—
754Q8×C13—42no—
755D4×C13—22no—
756D4×C13—21no—
757D4×C13—21no—
758D4×C13—42no—
759D4×C13—42no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—21no—
769C2×C4×C13—21no—
770C2×C4×C13—21no—
771C2×C4×C13—42no—
772C2×C4×C13—42no—
773C2×C4×C13—42no—
774C2×C4×C13—42no—
775C2×C4×C13C22×D411yescharacteristic
776C2×C4×C13C22×D411yescharacteristic
777C2×C4×C13C22×D411yescharacteristic
778C2×C4×C13C22×D411yescharacteristic
779C2×C4×C13C2511yescharacteristic
780C22⋊D13—22no—
781C22⋊D13—42no—
782C22⋊D13—42no—
783C22⋊D13—42no—
784C22⋊D13—42no—
785C22⋊D13—42no—
786C22⋊D13—42no—
787C22⋊D13—42no—
788C22⋊D13—81no—
789C22⋊D13—81no—
790C22⋊D13AGL(1,ℤ/8)14yescomplemented
791C2×Dic13—22no—
792C2×Dic13—21no—
793C2×Dic13—22no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—41no—
798C2×Dic13—41no—
799C2×Dic13—42no—
800C2×Dic13—42no—
801C2×Dic13C22×D411yescharacteristic
802C2×Dic13C22×D411yescharacteristic
803C2×Dic13C22×D411yescharacteristic
804C2×Dic13C22×D411yescharacteristic
805C2×Dic13C22×D411yescharacteristic
806C2×Dic13C22×D411yescharacteristic
807C2×Dic13C22×D411yescharacteristic
808D52—21no—
809D52—21no—
810D52—21no—
811D52—21no—
812D52—21no—
813D52—21no—
814D52—21no—
815D52—42no—
816D52—42no—
817D52—42no—
818D52—42no—
819D52—42no—
820D52—42no—
821D52—81no—
822D52C2×#4112yes—
823C4×D13—22no—
824C4×D13—21no—
825C4×D13—21no—
826C4×D13—41no—
827C4×D13—42no—
828C4×D13—42no—
829C4×D13—42no—
830C4×D13—42no—
831C4×D13—42no—
832C4×D13—42no—
833C4×D13—42no—
834C4×D13—42no—
835C4×D13—42no—
836C4×D13—42no—
837C4×D13—42no—
838C4×D13—42no—
839C4×D13—42no—
840C4×D13—42no—
841Dic26—21no—
842Dic26—22no—
843Dic26—21no—
844Dic26—21no—
845Dic26—42no—
846Dic26—42no—
847Dic26—42no—
848Dic26—42no—
849Dic26—42no—
850Dic26C2×#4112yescomplemented
851C8×C13—21no—
852C8×C13—21no—
853C8×C13—21no—
854C8×C13C2×#4112yescomplemented
855#1055—21no—
856#1055—21no—
857#1055—21no—
858#1055—21no—
859C22×#41—261no—
860C2×AGL(1,ℤ/8)—131no—
861C22×SD16—131no—
862C22×SD16—131no—
863#557—131no—
864#556—131no—
865#556—261no—
866#552—131no—
867#552—261no—
868#552—261no—
869#552C2×D1311yescharacteristic, complemented
870#550—131no—
871D4×Q8—131no—
872D4×Q8—131no—
873#548—131no—
874#548—131no—
875#548—261no—
876#547—131no—
877#547—131no—
878#547—131no—
879#547—261no—
880#547C2×D1311yescharacteristic
881#546—261no—
882#546—261no—
883#546—261no—
884D42—131no—
885D42—131no—
886D42—131no—
887#533—131no—
888#533—261no—
889#532—131no—
890#532—131no—
891#532—131no—
892#529—131no—
893#529—131no—
894#529—261no—
895#529—261no—
896#525—261no—
897#525—261no—
898#525—261no—
899C4×#41—131no—
900C4×#41—131no—
901C4×#41—261no—
902C2×C4×Q8—131no—
903C2×C4×Q8—131no—
904C2×C4×D4—131no—
905C2×C4×D4—131no—
906C2×C4×D4—131no—
907#501—131no—
908#501C2×D1311yescharacteristic, complemented
909#500—131no—
910#496—131no—
911#496—131no—
912#492—131no—
913#490—131no—
914#490—131no—
915#489—131no—
916#489—131no—
917#487—131no—
918#486—131no—
919#484—131no—
920#484C2×D1311yescharacteristic, complemented
921#483—131no—
922#483C2×D1311yescharacteristic, complemented
923#482—131no—
924#482C2×D1311yescharacteristic, complemented
925#480—131no—
926#480—131no—
927#480—131no—
928#480—131no—
929#480—131no—
930#480C2×D1311yescharacteristic, complemented
931#478—131no—
932#478—131no—
933#478—131no—
934#478C2×D1311yescharacteristic, complemented
935#477—131no—
936#477—131no—
937#477—131no—
938#477C2×D1311yescharacteristic, complemented
939#475—131no—
940#474—131no—
941#474—131no—
942#474—131no—
943#468—131no—
944#468—131no—
945#468—131no—
946#468C2×D1311yescharacteristic, complemented
947#466—131no—
948#466—131no—
949#466—131no—
950#466—131no—
951#465—131no—
952#465—131no—
953#465—131no—
954#465C2×D1311yescharacteristic, complemented
955#463—131no—
956#463—131no—
957#463—131no—
958#463—131no—
959#461—131no—
960#461—131no—
961#460—131no—
962#460—131no—
963#460—131no—
964#460—131no—
965#460—131no—
966#459—131no—
967#450—131no—
968#450—131no—
969#450—131no—
970#450—131no—
971#449—131no—
972#449—131no—
973#448—131no—
974#448—131no—
975#448—131no—
976#448—131no—
977#447—131no—
978#447—131no—
979#446—131no—
980#446—131no—
981#442—131no—
982#442—131no—
983#442—131no—
984#442—131no—
985#440—131no—
986#440—131no—
987#440—131no—
988#440—131no—
989#440—131no—
990#440—131no—
991#440—131no—
992#440—131no—
993#440—131no—
994#440—131no—
995#440—131no—
996#440—131no—
997#440—131no—
998#440—131no—
999#440—131no—
1000#440—131no—
1001#440—131no—
1002#440—131no—
1003#440—131no—
1004#440C2×D1311yescharacteristic, complemented
1005C4×SD16—131no—
1006C4×SD16—131no—
1007C4×D8—131no—
1008C4×D8—131no—
1009#435—131no—
1010#435—131no—
1011#435—131no—
1012#435C2×D1311yescharacteristic, complemented
1013C8×D4—131no—
1014C8×D4—131no—
1015#432—131no—
1016#432—131no—
1017#432—131no—
1018#428C2×D1311yescharacteristic, complemented
1019C2×#107—131no—
1020C2×#107C2×D1311yescharacteristic, complemented
1021#418—131no—
1022#417—131no—
1023C2×#103—131no—
1024C2×#103—131no—
1025C2×#102—131no—
1026C2×#102—131no—
1027C4×M16—131no—
1028C2×#97—131no—
1029C2×#97—131no—
1030C22×C13—21no—
1031C22×C13—21no—
1032C22×C13—21no—
1033C22×C13—21no—
1034C22×C13—21no—
1035C22×C13—41no—
1036C22×C13—41no—
1037C22×C13—41no—
1038C22×C13C2×AGL(1,ℤ/8)12yes—
1039C22×C13C23×D411yescharacteristic
1040C2×D13—21no—
1041C2×D13—21no—
1042C2×D13—22no—
1043C2×D13—41no—
1044C2×D13—41no—
1045C2×D13—41no—
1046C2×D13—41no—
1047C2×D13—41no—
1048C2×D13—41no—
1049C2×D13—41no—
1050C2×D13—41no—
1051C2×D13—41no—
1052C2×D13—41no—
1053C2×D13—41no—
1054C2×D13—84no—
1055C2×D13—84no—
1056C2×D13—84no—
1057C2×D13C2×AGL(1,ℤ/8)12yes—
1058C4×C13—21no—
1059C4×C13—21no—
1060C4×C13—21no—
1061C4×C13—21no—
1062C4×C13—41no—
1063C4×C13—41no—
1064C4×C13—41no—
1065C4×C13—41no—
1066C4×C13—41no—
1067C4×C13—41no—
1068C4×C13—41no—
1069C4×C13C22×#4111yescharacteristic
1070C4×C13#58511yescharacteristic
1071Dic13—21no—
1072Dic13—21no—
1073Dic13—21no—
1074Dic13—22no—
1075Dic13—21no—
1076Dic13—21no—
1077Dic13—21no—
1078Dic13—41no—
1079Dic13—41no—
1080Dic13—41no—
1081Dic13C2×AGL(1,ℤ/8)12yes—
1082C2×#41—21no—
1083C2×#41—131no—
1084C2×#41—131no—
1085C2×#41—261no—
1086C2×#41—261no—
1087C2×#41—261no—
1088C2×#41—261no—
1089C2×#41—261no—
1090C2×#41—261no—
1091C2×#41—261no—
1092C2×#41—528no—
1093C22×Q8—131no—
1094C22×Q8—131no—
1095C22×Q8—261no—
1096C22×D4—131no—
1097C22×D4—131no—
1098C22×D4—131no—
1099C22×D4—261no—
1100C22×D4—261no—
1101C22×D4—261no—
1102C23×C4—261no—
1103C23×C4—261no—
1104C23×C4—261no—
1105AGL(1,ℤ/8)—264no—
1106C2×SD16—131no—
1107C2×SD16—131no—
1108C2×SD16—131no—
1109C2×SD16—131no—
1110C2×SD16—131no—
1111C2×SD16—131no—
1112C2×SD16—131no—
1113C2×SD16—131no—
1114C2×SD16—131no—
1115C2×SD16—131no—
1116C2×SD16—131no—
1117C2×SD16—264no—
1118C2×SD16—264no—
1119C2×SD16C22×D1311yescharacteristic
1120C2×D8—131no—
1121C2×D8—131no—
1122C2×D8—131no—
1123C2×D8—131no—
1124C2×M16—131no—
1125C2×M16C22×D1311yescharacteristic
1126C22×C8—131no—
1127C22×C8—131no—
1128C22×C8—131no—
1129C22×C8C22×D1311yescharacteristic
1130C4⋊Q8—131no—
1131C4⋊Q8—131no—
1132C4⋊Q8—131no—
1133C4⋊Q8—131no—
1134C4⋊Q8—261no—
1135C4⋊Q8—261no—
1136C4⋊Q8C22×D1311yescharacteristic
1137#127—131no—
1138#127—131no—
1139#127—131no—
1140#126—21no—
1141#126—261no—
1142#126—261no—
1143#126—261no—
1144#126—261no—
1145#126—261no—
1146#125—21no—
1147#125—131no—
1148#125—261no—
1149#125—261no—
1150#125—261no—
1151#125—261no—
1152#125C22×D1311yescharacteristic
1153#124—131no—
1154#124—131no—
1155#124—261no—
1156#124—261no—
1157#124—261no—
1158#124—261no—
1159#124—261no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—261no—
1164#123—261no—
1165#123—261no—
1166#123—261no—
1167#123—261no—
1168#123—261no—
1169#123—261no—
1170#123—261no—
1171#123—261no—
1172C22⋊Q8—21no—
1173C22⋊Q8—131no—
1174C22⋊Q8—131no—
1175C22⋊Q8—261no—
1176C22⋊Q8—261no—
1177C22⋊Q8—261no—
1178C22⋊Q8—261no—
1179C22⋊Q8—261no—
1180C22⋊Q8—261no—
1181C22⋊Q8—261no—
1182C22⋊Q8—261no—
1183C22⋊Q8—261no—
1184C22⋊Q8—261no—
1185C22⋊Q8—261no—
1186C22⋊Q8—261no—
1187C22⋊Q8C22×D1311yescharacteristic
1188C22⋊Q8C22×D1311yescharacteristic
1189#121—131no—
1190#121—131no—
1191#121—131no—
1192#121—131no—
1193#121—131no—
1194#121—131no—
1195#121—261no—
1196#121—261no—
1197#121—261no—
1198#121—261no—
1199#121—261no—
1200#121—261no—
1201#121—261no—
1202#121—261no—
1203#121—261no—
1204#121—261no—
1205#121—261no—
1206#121C22×D1311yescharacteristic
1207#121C22×D1311yescharacteristic
1208#120—261no—
1209#120—261no—
1210#120—261no—
1211#120—261no—
1212#120—261no—
1213#120—261no—
1214C4×Q8—131no—
1215C4×Q8—131no—
1216C4×Q8—131no—
1217C4×Q8—131no—
1218C4×Q8—131no—
1219C4×Q8—131no—
1220C4×Q8—131no—
1221C4×Q8—131no—
1222C4×Q8—131no—
1223C4×Q8—261no—
1224C4×Q8—261no—
1225C4×Q8—261no—
1226C4×Q8—261no—
1227C4×Q8—261no—
1228C4×Q8—261no—
1229C4×Q8C22×D1311yescharacteristic
1230C4×D4—131no—
1231C4×D4—131no—
1232C4×D4—131no—
1233C4×D4—131no—
1234C4×D4—131no—
1235C4×D4—131no—
1236C4×D4—131no—
1237C4×D4—131no—
1238C4×D4—131no—
1239C4×D4—131no—
1240C4×D4—131no—
1241C4×D4—131no—
1242C4×D4—131no—
1243C4×D4—131no—
1244C4×D4—131no—
1245C4×D4—131no—
1246C4×D4—261no—
1247C4×D4—261no—
1248C4×D4—261no—
1249C4×D4—261no—
1250C4×D4—261no—
1251C4×D4—261no—
1252C4×D4—261no—
1253C4×D4—261no—
1254C4×D4—261no—
1255C4×D4—261no—
1256C4×D4—261no—
1257C4×D4—261no—
1258C4×D4—261no—
1259C4×D4—261no—
1260C4×D4—261no—
1261C4×D4—261no—
1262C4×D4C22×D1311yescharacteristic
1263C4×D4C22×D1311yescharacteristic
1264#117—21no—
1265#117—131no—
1266#117—131no—
1267#117—131no—
1268#117—261no—
1269#117—261no—
1270#117—261no—
1271#117—261no—
1272#117—261no—
1273#117—261no—
1274#117C22×D1311yescharacteristic
1275C2×C4⋊C4—131no—
1276C2×C4⋊C4—131no—
1277C2×C4⋊C4—261no—
1278C2×C4⋊C4—261no—
1279C2×C4⋊C4C22×D1311yescharacteristic
1280C2×C4⋊C4C22×D1311yescharacteristic
1281C2×C4⋊C4C22×D1311yescharacteristic
1282C2×C22⋊C4—261no—
1283C2×C22⋊C4—261no—
1284C2×C22⋊C4—261no—
1285C2×C42—131no—
1286C2×C42—131no—
1287C2×C42—131no—
1288C2×C42—261no—
1289C2×C42—261no—
1290C2×C42—261no—
1291#107—131no—
1292#107—131no—
1293#107—131no—
1294#107—131no—
1295#107—131no—
1296#107—131no—
1297#107C22×D1311yescharacteristic
1298#107C22×D1311yescharacteristic
1299#107C22×D1311yescharacteristic
1300#107C22×D1311yescharacteristic
1301#107C22×D1311yescharacteristic
1302#107C22×D1311yescharacteristic
1303#106—131no—
1304#106C22×D1311yescharacteristic
1305#106C22×D1311yescharacteristic
1306#106C22×D1311yescharacteristic
1307C4⋊C8—131no—
1308C4⋊C8—131no—
1309C4⋊C8—131no—
1310C4⋊C8—131no—
1311C4⋊C8—131no—
1312C4⋊C8C22×D1311yescharacteristic
1313#103—131no—
1314#103—131no—
1315#103—131no—
1316#103—131no—
1317#103—131no—
1318#103—131no—
1319#103—131no—
1320#103—131no—
1321#103—131no—
1322#103C22×D1311yescharacteristic
1323#103C22×D1311yescharacteristic
1324#103C22×D1311yescharacteristic
1325#102—131no—
1326#102—131no—
1327#102—131no—
1328#102—131no—
1329#102—131no—
1330#102—131no—
1331#102—131no—
1332#102—131no—
1333#102—131no—
1334#102—131no—
1335#102—131no—
1336#102—131no—
1337#102—131no—
1338#102—131no—
1339#102—131no—
1340#102—131no—
1341#102—131no—
1342#102C22×D1311yescharacteristic
1343#102C22×D1311yescharacteristic
1344#102C22×D1311yescharacteristic
1345C22⋊C8—131no—
1346C22⋊C8—131no—
1347C22⋊C8—131no—
1348C22⋊C8—131no—
1349C22⋊C8C22×D1311yescharacteristic
1350C22⋊C8C22×D1311yescharacteristic
1351#97—131no—
1352#97—131no—
1353#97—131no—
1354#97—131no—
1355#97—131no—
1356#97—131no—
1357#97—131no—
1358#97C22×D1311yescharacteristic
1359C4×C8—131no—
1360C4×C8—131no—
1361C2×C13—22no—
1362C2×C13—41no—
1363C2×C13—81no—
1364C2×C13D4×#4111yescharacteristic
1365C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1366C2×C13#358611yescharacteristic
1367D13—22no—
1368D13—42no—
1369D13—81no—
1370D13—81no—
1371D13—81no—
1372C24—261no—
1373C24—261no—
1374C24—261no—
1375#41—44no—
1376#41—262no—
1377#41—264no—
1378#41—521no—
1379#41—524no—
1380#41—524no—
1381#41—524no—
1382#41—524no—
1383#41—524no—
1384#41—524no—
1385#41—524no—
1386C2×Q8—21no—
1387C2×Q8—131no—
1388C2×Q8—131no—
1389C2×Q8—131no—
1390C2×Q8—261no—
1391C2×Q8—261no—
1392C2×Q8—261no—
1393C2×Q8—261no—
1394C2×Q8—262no—
1395C2×Q8—261no—
1396C2×Q8—262no—
1397C2×Q8—521no—
1398C2×Q8—521no—
1399C2×Q8—524no—
1400C2×Q8C23×D1311yescharacteristic
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—131no—
1404C2×D4—131no—
1405C2×D4—131no—
1406C2×D4—131no—
1407C2×D4—131no—
1408C2×D4—131no—
1409C2×D4—262no—
1410C2×D4—262no—
1411C2×D4—261no—
1412C2×D4—261no—
1413C2×D4—261no—
1414C2×D4—261no—
1415C2×D4—261no—
1416C2×D4—261no—
1417C2×D4—261no—
1418C2×D4—261no—
1419C2×D4—262no—
1420C2×D4—261no—
1421C2×D4—261no—
1422C2×D4—261no—
1423C2×D4—261no—
1424C2×D4—261no—
1425C2×D4—261no—
1426C2×D4—261no—
1427C2×D4—261no—
1428C2×D4—521no—
1429C2×D4—521no—
1430C2×D4—521no—
1431C2×D4—524no—
1432C2×D4—524no—
1433C2×D4—524no—
1434C2×D4D4×D1311yescharacteristic
1435C2×D4C23×D1311yescharacteristic
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—131no—
1441C22×C4—131no—
1442C22×C4—131no—
1443C22×C4—131no—
1444C22×C4—131no—
1445C22×C4—131no—
1446C22×C4—131no—
1447C22×C4—261no—
1448C22×C4—261no—
1449C22×C4—261no—
1450C22×C4—261no—
1451C22×C4—261no—
1452C22×C4—261no—
1453C22×C4—261no—
1454C22×C4—261no—
1455C22×C4—261no—
1456C22×C4—261no—
1457C22×C4—261no—
1458C22×C4—261no—
1459C22×C4—261no—
1460C22×C4—261no—
1461C22×C4—261no—
1462C22×C4—261no—
1463C22×C4—524no—
1464C22×C4—524no—
1465C22×C4—524no—
1466C22×C4C23×D1311yescharacteristic
1467C22×C4C23×D1311yescharacteristic
1468SD16—22no—
1469SD16—134no—
1470SD16—262no—
1471SD16—262no—
1472SD16—262no—
1473SD16—262no—
1474SD16—262no—
1475SD16—262no—
1476SD16—521no—
1477SD16—521no—
1478SD16—521no—
1479SD16—521no—
1480D8—262no—
1481D8—262no—
1482D8—521no—
1483D8—521no—
1484M16—22no—
1485M16—521no—
1486C2×C8—22no—
1487C2×C8—131no—
1488C2×C8—131no—
1489C2×C8—131no—
1490C2×C8—131no—
1491C2×C8—262no—
1492C2×C8—521no—
1493C2×C8—521no—
1494C2×C8C23×D1311yescharacteristic
1495C2×C8C23×D1311yescharacteristic
1496C2×C8C23×D1311yescharacteristic
1497C2×C8C23×D1311yescharacteristic
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—131no—
1508C4⋊C4—131no—
1509C4⋊C4—131no—
1510C4⋊C4—131no—
1511C4⋊C4—131no—
1512C4⋊C4—131no—
1513C4⋊C4—131no—
1514C4⋊C4—261no—
1515C4⋊C4—261no—
1516C4⋊C4—261no—
1517C4⋊C4—261no—
1518C4⋊C4—261no—
1519C4⋊C4—261no—
1520C4⋊C4—261no—
1521C4⋊C4—261no—
1522C4⋊C4—261no—
1523C4⋊C4—261no—
1524C4⋊C4—261no—
1525C4⋊C4—261no—
1526C4⋊C4—261no—
1527C4⋊C4—261no—
1528C4⋊C4—261no—
1529C4⋊C4—261no—
1530C4⋊C4—261no—
1531C4⋊C4—261no—
1532C4⋊C4D4×D1311yescharacteristic
1533C4⋊C4C23×D1311yescharacteristic
1534C4⋊C4C23×D1311yescharacteristic
1535C4⋊C4C23×D1311yescharacteristic
1536C4⋊C4C23×D1311yescharacteristic
1537C4⋊C4C23×D1311yescharacteristic
1538C4⋊C4C23×D1311yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—131no—
1546C22⋊C4—131no—
1547C22⋊C4—131no—
1548C22⋊C4—131no—
1549C22⋊C4—261no—
1550C22⋊C4—261no—
1551C22⋊C4—261no—
1552C22⋊C4—261no—
1553C22⋊C4—261no—
1554C22⋊C4—261no—
1555C22⋊C4—261no—
1556C22⋊C4—261no—
1557C22⋊C4—261no—
1558C22⋊C4—261no—
1559C22⋊C4—261no—
1560C22⋊C4—261no—
1561C22⋊C4—261no—
1562C22⋊C4—261no—
1563C22⋊C4—261no—
1564C22⋊C4—261no—
1565C22⋊C4—261no—
1566C22⋊C4—261no—
1567C22⋊C4—261no—
1568C22⋊C4—261no—
1569C22⋊C4—261no—
1570C22⋊C4—261no—
1571C22⋊C4—261no—
1572C22⋊C4D4×D1311yescharacteristic
1573C22⋊C4D4×D1311yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—131no—
1577C42—131no—
1578C42—131no—
1579C42—131no—
1580C42—131no—
1581C42—131no—
1582C42—131no—
1583C42—131no—
1584C42—131no—
1585C42—261no—
1586C42—261no—
1587C42—261no—
1588C42—261no—
1589C42—261no—
1590C42—261no—
1591C42—261no—
1592C42C23×D1311yescharacteristic
1593C13#6145211yescharacteristic, complemented, Sylow
1594C23—21no—
1595C23—131no—
1596C23—261no—
1597C23—261no—
1598C23—261no—
1599C23—261no—
1600C23—522no—
1601C23—522no—
1602C23—522no—
1603C23—522no—
1604C23—522no—
1605C23—522no—
1606C23—1041no—
1607C23—1041no—
1608C23—1041no—
1609C23C2×D4×D1311yescharacteristic
1610C23C2×D4×D1311yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—42no—
1614Q8—132no—
1615Q8—262no—
1616Q8—261no—
1617Q8—261no—
1618Q8—261no—
1619Q8—522no—
1620Q8—522no—
1621Q8—522no—
1622Q8—522no—
1623Q8—522no—
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—42no—
1629D4—134no—
1630D4—132no—
1631D4—262no—
1632D4—261no—
1633D4—261no—
1634D4—261no—
1635D4—261no—
1636D4—261no—
1637D4—261no—
1638D4—261no—
1639D4—522no—
1640D4—522no—
1641D4—522no—
1642D4—522no—
1643D4—522no—
1644D4—522no—
1645D4—522no—
1646D4—522no—
1647D4—522no—
1648D4—522no—
1649D4—522no—
1650D4—522no—
1651D4—522no—
1652D4—1041no—
1653D4—1041no—
1654D4—1041no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—131no—
1671C2×C4—131no—
1672C2×C4—131no—
1673C2×C4—131no—
1674C2×C4—131no—
1675C2×C4—131no—
1676C2×C4—131no—
1677C2×C4—262no—
1678C2×C4—262no—
1679C2×C4—262no—
1680C2×C4—261no—
1681C2×C4—261no—
1682C2×C4—261no—
1683C2×C4—261no—
1684C2×C4—261no—
1685C2×C4—261no—
1686C2×C4—521no—
1687C2×C4—522no—
1688C2×C4—522no—
1689C2×C4—522no—
1690C2×C4—522no—
1691C2×C4—522no—
1692C2×C4—522no—
1693C2×C4—522no—
1694C2×C4—522no—
1695C2×C4—522no—
1696C2×C4—522no—
1697C2×C4—522no—
1698C2×C4—522no—
1699C2×C4—522no—
1700C2×C4—522no—
1701C2×C4—521no—
1702C2×C4—521no—
1703C2×C4—522no—
1704C2×C4—522no—
1705C2×C4C2×D4×D1311yescharacteristic
1706C2×C4C2×D4×D1311yescharacteristic
1707C2×C4C2×D4×D1311yescharacteristic
1708C2×C4C2×D4×D1311yescharacteristic
1709C2×C4C24×D1311yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—261no—
1714C8—261no—
1715C8—261no—
1716C8—261no—
1717C8#41×D1312yescomplemented
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—132no—
1727C22—261no—
1728C22—261no—
1729C22—262no—
1730C22—521no—
1731C22—521no—
1732C22—521no—
1733C22—521no—
1734C22—521no—
1735C22—521no—
1736C22—521no—
1737C22—521no—
1738C22—521no—
1739C22—521no—
1740C22—521no—
1741C22—1044no—
1742C22—1044no—
1743C22—1044no—
1744C22D13×AGL(1,ℤ/8)12yes—
1745C22C22×D4×D1311yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—132no—
1758C4—261no—
1759C4—261no—
1760C4—261no—
1761C4—262no—
1762C4—261no—
1763C4—261no—
1764C4—261no—
1765C4—521no—
1766C4—521no—
1767C4—521no—
1768C4C2×#41×D1311yescharacteristic
1769C4#1171965211yescharacteristic
1770C2—22no—
1771C2—41no—
1772C2—81no—
1773C2—262no—
1774C2—522no—
1775C2—1041no—
1776C2—1041no—
1777C2—1041no—
1778C2#1312832311yescharacteristic
1779C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
1780C2#1312962111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3343C2
socleC22×C13C23×D4
hypercenter#3343D13
hypocenterC13#61452
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #13128450C2semidirect
2. #13128323C2semidirect
3. #13127857C2semidirect
4. #13127754C2semidirect
5. #13127568C2semidirect
6. #13127557C2semidirect
7. #13127277C2semidirect
8. #13127181C2semidirect
9. #13126860C2semidirect
10. #13126851C2semidirect
11. #13126830C2semidirect
12. #13126821C2semidirect
13. #13126699C2semidirect
14. #13126647C2semidirect
15. #13126529C2semidirect
16. #13126338C2semidirect
17. #13126336C2semidirect
18. #13125549C2semidirect
19. #13125536C2semidirect
20. #13125527C2semidirect
21. #13124982C2semidirect
22. #13124979C2semidirect
23. #13124977C2semidirect
24. #13124960C2semidirect
25. #13124955C2semidirect
26. #13124932C2semidirect
27. #13123846C2semidirect
28. #13123643C2semidirect
29. C2×#11718550C2semidirect
30. D13×#440C2semidirect
31. C13×#3343C2semidirect
33. C13×#552C22semidirect
44. #11719396C22semidirect
46. #11719390C22semidirect
54. #11719338C22semidirect
55. #11719337C22semidirect
57. #11719329C22semidirect
58. #11719327C22semidirect
63. C4×Q8×D13C22semidirect
64. #11719273C22semidirect
66. #11719257C22semidirect
71. #11719234C22semidirect
73. #11719227C22semidirect
76. #11719212C22semidirect
79. C2×#88141C22semidirect
80. C13×#501C22semidirect
81. C13×#484C22semidirect
82. C13×#483C22semidirect
83. C13×#482C22semidirect
84. C13×#480C22semidirect
85. C13×#478C22semidirect
86. C13×#477C22semidirect
87. C13×#468C22semidirect
88. C13×#465C22semidirect
89. C13×#440C22semidirect
90. C13×#435C22semidirect
91. C13×#428C22semidirect
92. C2×C13×#107C22semidirect
93. #11718837C22semidirect
94. #11718836C22semidirect
95. #11718825C22semidirect
96. #11718795C22semidirect
97. #11718788C22semidirect
98. M16×Dic13C22semidirect
99. #11718776C22semidirect
100. C8×C22⋊D13C22semidirect
101. C2×#88055C22semidirect
102. #11718752C22semidirect
103. #11718750C22semidirect
104. #11718728C22semidirect
106. #11718710C22semidirect
107. #11718709C22semidirect
110. #11718703C22semidirect
111. #11718701C22semidirect
112. #11718699C22semidirect
113. #11718698C22semidirect
114. #11718688C22semidirect
116. #11718679C22semidirect
117. #11718677C22semidirect
118. #11718672C22semidirect
119. #11718664C22semidirect
121. #11718631C22semidirect
122. C2×#88050C22semidirect
123. #11718628C22semidirect
124. #11718628C22semidirect
125. #11718627C22semidirect
128. #11718551C22semidirect
129. #11718551C22semidirect
134. #11718550C22semidirect
135. #11718550C22semidirect
136. #11718550C22semidirect
137. #11718550C22semidirect
138. #11718550C22semidirect
139. #11718550C22semidirect
140. #11718544C22semidirect
141. #11718544C22semidirect
142. #11718543C22semidirect
143. #11718543C22semidirect
144. #11718543C22semidirect
145. D13×#107C22semidirect
146. #11718536C22semidirect
147. #11718536C22semidirect
148. #11718535C22semidirect
150. #11718533C22semidirect
152. #11718532C22semidirect
154. #11718530C22semidirect
155. #11718530C22semidirect
156. #11718525C22semidirect
157. #11718525C22semidirect
158. #11718523C22semidirect
159. #11718517C22semidirect
160. #11718515C22semidirect
162. #11718513C22semidirect
163. #11718509C22semidirect
165. #11718496C22semidirect
166. #11718489C22semidirect
168. #11718480C22semidirect
170. #11718479C22semidirect
172. #11718478C22semidirect
173. #11718478C22semidirect
174. #11718467C22semidirect
175. #11718467C22semidirect
176. D13×#103C22semidirect
177. #11718456C22semidirect
178. #11718453C22semidirect
179. #11718447C22semidirect
180. #11718446C22semidirect
184. #11718425C22semidirect
185. #11718423C22semidirect
186. #11718423C22semidirect
187. #11718423C22semidirect
188. #11718421C22semidirect
189. #11718418C22semidirect
190. #11718418C22semidirect
191. #11718399C22semidirect
192. #11718395C22semidirect
195. #11718389C22semidirect
196. #11718386C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
199. #11718373C22semidirect
201. D13×#97C22semidirect
202. #11718362C22semidirect
701. #6095#41semidirect
711. #3343D13semidirect
790. C22⋊D13AGL(1,ℤ/8)semidirect
850. Dic26C2×#41semidirect
854. C8×C13C2×#41semidirect
869. #552C2×D13semidirect
908. #501C2×D13semidirect
920. #484C2×D13semidirect
922. #483C2×D13semidirect
924. #482C2×D13semidirect
930. #480C2×D13semidirect
934. #478C2×D13semidirect
938. #477C2×D13semidirect
946. #468C2×D13semidirect
954. #465C2×D13semidirect
1004. #440C2×D13semidirect
1012. #435C2×D13semidirect
1018. #428C2×D13semidirect
1020. C2×#107C2×D13semidirect
1593. C13#61452semidirect
1717. C8#41×D13semidirect

Maximal subgroups

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

subgroupindex
#131284502
#131283232
#131278572
#131277542
#131275682
#131275572
#131272772
#131271812
#131268602
#131268512
#131268302
#131268212
#131266992
#131266472
#131265292
#131263382
#131263362
#131255492
#131255362
#131255272
#131249822
#131249792
#131249772
#131249602
#131249552
#131249322
#131238462
#131236432
C2×#117185502
D13×#4402
C13×#33432
#6145213