Finite Group Databasebeta

← #16744924

Subgroups — #16744924

Order 3328.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128447C211yesmaximal, characteristic, complemented
2#13128401C211yesmaximal, characteristic, complemented
3#13127903C211yesmaximal, characteristic, complemented
4#13127791C211yesmaximal, characteristic, complemented
5#13127670C211yesmaximal, characteristic, complemented
6#13127592C211yesmaximal, characteristic, complemented
7#13127337C211yesmaximal, characteristic, complemented
8#13127211C211yesmaximal, characteristic, complemented
9#13126995C211yesmaximal, characteristic, complemented
10#13126911C211yesmaximal, characteristic, complemented
11#13126851C211yesmaximal, characteristic, complemented
12#13126815C211yesmaximal, characteristic, complemented
13#13126684C211yesmaximal, characteristic, complemented
14#13126669C211yesmaximal, characteristic, complemented
15#13126518C211yesmaximal, characteristic, complemented
16#13126368C211yesmaximal, characteristic, complemented
17#13126321C211yesmaximal, characteristic, complemented
18#13125566C211yesmaximal, characteristic, complemented
19#13125540C211yesmaximal, characteristic, complemented
20#13125536C211yesmaximal, characteristic, complemented
21#13124990C211yesmaximal, characteristic, complemented
22#13124977C211yesmaximal, characteristic, complemented
23#13124977C211yesmaximal, characteristic, complemented
24#13124952C211yesmaximal, characteristic, complemented
25#13124948C211yesmaximal, characteristic, complemented
26#13124932C211yesmaximal, characteristic, complemented
27#13123846C211yesmaximal, characteristic, complemented
28#13123643C211yesmaximal, characteristic, complemented
29#13123635C211yesmaximal, characteristic, complemented
30C2×#11718530C211yesmaximal, characteristic, complemented
31C13×#3344C211yesmaximal, characteristic, complemented
32C13×#554C2211yescharacteristic
33C13×#552C2211yescharacteristic
34C2×#88173C2211yescharacteristic
35C2×#88162C2211yescharacteristic
36C22×D104C2211yescharacteristic
37#11719435C2211yescharacteristic, complemented
38#11719430C2211yescharacteristic, complemented
39#11719414—21no—
40#11719411—21no—
41#11719400—21no—
42#11719398—21no—
43#11719396—21no—
44#11719396—21no—
45#11719396C2211yescharacteristic, complemented
46#11719395C2211yescharacteristic, complemented
47#11719363—21no—
48#11719361—21no—
49#11719342—21no—
50#11719342—21no—
51#11719336C2211yescharacteristic, complemented
52#11719335C2211yescharacteristic
53#11719335C2211yescharacteristic, complemented
54#11719335C2211yescharacteristic, complemented
55#11719332—21no—
56#11719332—21no—
57#11719329C2211yescharacteristic
58#11719329C2211yescharacteristic, complemented
59#11719329C2211yescharacteristic, complemented
60#11719327C2211yescharacteristic, complemented
61#11719290C2211yescharacteristic, complemented
62C4×#6131C2211yescharacteristic, complemented
63C4×#6131C2211yescharacteristic, complemented
64#11719273C2211yescharacteristic, complemented
65#11719259—21no—
66#11719255C2211yescharacteristic
67D4×D52C2211yescharacteristic
68C4×D4×D13—21no—
69C4×#6129C2211yescharacteristic
70#11719237C2211yescharacteristic, complemented
71#11719232—21no—
72#11719227C2211yescharacteristic, complemented
73D13×#117—21no—
74#11719219C2211yescharacteristic
75#11719219C2211yescharacteristic, complemented
76#11719218C2211yescharacteristic, complemented
77C2×#88147C2211yescharacteristic
78C2×#88147C2211yescharacteristic, complemented
79C2×#88147C2211yescharacteristic, complemented
80C13×#501C2211yescharacteristic, complemented
81C13×#485C2211yescharacteristic, complemented
82C13×#484C2211yescharacteristic, complemented
83C13×#483C2211yescharacteristic, complemented
84C13×#483C2211yescharacteristic, complemented
85C13×#479C2211yescharacteristic, complemented
86C13×#475C2211yescharacteristic, complemented
87C13×#470C2211yescharacteristic, complemented
88C13×#467C2211yescharacteristic, complemented
89C13×#441C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic
91C13×#428C2211yescharacteristic, complemented
92C2×C13×#106C2211yescharacteristic, complemented
93#11718852C2211yescharacteristic, complemented
94#11718851C2211yescharacteristic, complemented
95#11718845C2211yescharacteristic, complemented
96#11718796C2211yescharacteristic
97#11718788C2211yescharacteristic, complemented
98M16×Dic13C2211yescharacteristic, complemented
99#11718775C2211yescharacteristic
100C8×C22⋊D13C2211yescharacteristic, complemented
101C2×#88055C2211yescharacteristic, complemented
102#11718750C2211yescharacteristic, complemented
103#11718748C2211yescharacteristic, complemented
104#11718728C2211yescharacteristic, complemented
105#11718727C2211yescharacteristic, complemented
106#11718712C2211yescharacteristic, complemented
107#11718710C2211yescharacteristic, complemented
108#11718710C2211yescharacteristic, complemented
109#11718709C2211yescharacteristic
110#11718708C2211yescharacteristic, complemented
111#11718707C2211yescharacteristic
112#11718707C2211yescharacteristic, complemented
113#11718707C2211yescharacteristic, complemented
114#11718689C2211yescharacteristic, complemented
115#11718688C2211yescharacteristic, complemented
116#11718687C2211yescharacteristic, complemented
117#11718687C2211yescharacteristic, complemented
118#11718672C2211yescharacteristic
119#11718664C2211yescharacteristic, complemented
120#11718662C2211yescharacteristic, complemented
121#11718631C2211yescharacteristic, complemented
122#11718628C2211yescharacteristic
123#11718628C2211yescharacteristic, complemented
124#11718627C2211yescharacteristic, complemented
125C2×#88049C2211yescharacteristic
126C2×#88049C2211yescharacteristic, complemented
127#11718552C2211yescharacteristic, complemented
128#11718551C2211yescharacteristic, complemented
129#11718551C2211yescharacteristic, complemented
130#11718550C2211yescharacteristic, complemented
131#11718550C2211yescharacteristic, complemented
132#11718550C2211yescharacteristic, complemented
133#11718546C2211yescharacteristic, complemented
134#11718544C2211yescharacteristic, complemented
135#11718544C2211yescharacteristic, complemented
136#11718537C2211yescharacteristic, complemented
137#11718533C2211yescharacteristic
138#11718533C2211yescharacteristic, complemented
139#11718532C2211yescharacteristic, complemented
140#11718532C2211yescharacteristic, complemented
141#11718532C2211yescharacteristic, complemented
142#11718532C2211yescharacteristic, complemented
143#11718530C2211yescharacteristic
144#11718530C2211yescharacteristic
145#11718530C2211yescharacteristic
146#11718530C2211yescharacteristic
147#11718530C2211yescharacteristic, complemented
148#11718530C2211yescharacteristic, complemented
149#11718530C2211yescharacteristic, complemented
150#11718530C2211yescharacteristic, complemented
151#11718530C2211yescharacteristic, complemented
152#11718530C2211yescharacteristic, complemented
153#11718528C2211yescharacteristic, complemented
154#11718527C2211yescharacteristic, complemented
155#11718527C2211yescharacteristic, complemented
156#11718525C2211yescharacteristic, complemented
157#11718525C2211yescharacteristic, complemented
158#11718521C2211yescharacteristic, complemented
159#11718519C2211yescharacteristic, complemented
160#11718518C2211yescharacteristic, complemented
161#11718513C2211yescharacteristic, complemented
162#11718513C2211yescharacteristic, complemented
163#11718505C2211yescharacteristic
164#11718504C2211yescharacteristic
165#11718496C2211yescharacteristic, complemented
166#11718489C2211yescharacteristic, complemented
167#11718480C2211yescharacteristic
168#11718480C2211yescharacteristic, complemented
169#11718480C2211yescharacteristic, complemented
170#11718480C2211yescharacteristic, complemented
171#11718480C2211yescharacteristic, complemented
172#11718479C2211yescharacteristic, complemented
173#11718479C2211yescharacteristic, complemented
174#11718478C2211yescharacteristic, complemented
175#11718478C2211yescharacteristic, complemented
176#11718478C2211yescharacteristic, complemented
177#11718478C2211yescharacteristic, complemented
178#11718478C2211yescharacteristic, complemented
179#11718472C2211yescharacteristic
180#11718472C2211yescharacteristic, complemented
181#11718472C2211yescharacteristic, complemented
182#11718471C2211yescharacteristic, complemented
183#11718465C2211yescharacteristic, complemented
184#11718465C2211yescharacteristic, complemented
185#11718461C2211yescharacteristic, complemented
186#11718461C2211yescharacteristic, complemented
187#11718459C2211yescharacteristic, complemented
188#11718458C2211yescharacteristic, complemented
189#11718456C2211yescharacteristic, complemented
190#11718450C2211yescharacteristic, complemented
191#11718395C2211yescharacteristic
192#11718393C2211yescharacteristic
193#11718393C2211yescharacteristic
194#11718392C2211yescharacteristic
195#11718389C2211yescharacteristic, complemented
196#11718386C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199#11718373C2211yescharacteristic
200#11718372C2211yescharacteristic
201D13×#97C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C2×#6131—21no—
204C2×#6131C2311yescharacteristic
205C2×#6131C2311yescharacteristic
206C2×#6129D411yescharacteristic
207C2×D4×D13—21no—
208C2×#6127C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C22×C4×D13—21no—
213C22×C4×D13—21no—
214C22×C4×D13—21no—
215C2×C13×Q16C2311yescharacteristic
216C2×C13×M16C2311yescharacteristic
217C22×C8×C13C2311yescharacteristic
218C13×C4⋊Q8C2311yescharacteristic
219C13×#126—21no—
220C13×#125—21no—
221C13×#125—21no—
222C13×#125C2311yescharacteristic
223C13×#123—21no—
224C13×C22⋊Q8—21no—
225C13×C22⋊Q8—21no—
226C13×C22⋊Q8C2311yescharacteristic
227C13×C22⋊Q8C2311yescharacteristic
228C13×C22⋊Q8C2311yescharacteristic
229C13×C22⋊Q8C2311yescharacteristic
230C4×Q8×C13C2311yescharacteristic
231C4×Q8×C13C2311yescharacteristic
232C4×D4×C13—21no—
233C4×D4×C13C2311yescharacteristic
234C13×#117—21no—
235C13×#117C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239#88201—21no—
240#88201C2311yescharacteristic
241#88201C2311yescharacteristic
242#88201C2311yescharacteristic
243#88200—21no—
244#88200—21no—
245Q8×Dic13C2311yescharacteristic
246Q8×Dic13C2311yescharacteristic
247#88198C2311yescharacteristic
248C2×#6107C2311yescharacteristic
249C2×#6106C2311yescharacteristic
250C2×#6106C2311yescharacteristic
251C2×#6106C2311yescharacteristic
252C2×#6106C2311yescharacteristic
253C2×#6106C2311yescharacteristic
254#88191—21no—
255D4×Dic13D411yescharacteristic
256#88184—21no—
257#88184—21no—
258#88184C2311yescharacteristic
259#88184C2311yescharacteristic
260#88184C2311yescharacteristic
261#88183—21no—
262C4×C22⋊D13—21no—
263C4×C22⋊D13—21no—
264C4×C22⋊D13C2311yescharacteristic
265C4×C22⋊D13C2311yescharacteristic
266C2×#6103—21no—
267C2×#6103—21no—
268C2×#6103—21no—
269#88180—21no—
270#88178C2311yescharacteristic
271C2×C4×Dic13C2311yescharacteristic
272C2×C4×Dic13C2311yescharacteristic
273C2×#6099C2311yescharacteristic
274C22×#1055C2311yescharacteristic
275#88173—24no—
276#88162—24no—
277C2×D104—24no—
278C2×D104C2311yescharacteristic
279C2×D104C2311yescharacteristic
280C2×D104C2311yescharacteristic
281C2×D104C2311yescharacteristic
282C2×D104C2311yescharacteristic
283C2×D104C2311yescharacteristic
284C2×#6095C2311yescharacteristic
285C2×#6095C2311yescharacteristic
286C2×#6095C2311yescharacteristic
287C2×C8×D13C2311yescharacteristic
288C2×C8×D13C2311yescharacteristic
289#88152—21no—
290#88152—21no—
291#88152—21no—
292#88152—21no—
293#88152—21no—
294#88152—21no—
295#88152—21no—
296#88152—21no—
297#88151—21no—
298#88151—21no—
299#88151C2311yescharacteristic
300#88150—21no—
301#88150—21no—
302#88150—21no—
303#88149—21no—
304#88149—21no—
305#88149—21no—
306#88149—21no—
307#88149—21no—
308#88149C2311yescharacteristic
309#88149C2311yescharacteristic
310#88149C2311yescharacteristic
311#88148—21no—
312#88148—21no—
313#88148—21no—
314#88148—21no—
315#88148—21no—
316#88148—21no—
317#88148—21no—
318#88148—21no—
319#88148—21no—
320#88148—21no—
321#88147—21no—
322#88147—21no—
323#88147—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#88147C2311yescharacteristic
341#88147C2311yescharacteristic
342#88147C2311yescharacteristic
343#88146—21no—
344#88146—21no—
345#88146—21no—
346#88146—21no—
347#88146—21no—
348#88146—21no—
349#88146D411yescharacteristic
350#88146C2311yescharacteristic
351#88146C2311yescharacteristic
352C4⋊C4×D13—21no—
353C4⋊C4×D13—21no—
354C4⋊C4×D13—21no—
355#88144C2311yescharacteristic
356#88144C2311yescharacteristic
357#88144C2311yescharacteristic
358#88143—21no—
359#88143—21no—
360#88142C2311yescharacteristic
361#88141—21no—
362#88141D411yescharacteristic
363#88141C2311yescharacteristic
364#88141C2311yescharacteristic
365#88140—21no—
366#88140—21no—
367#88140—21no—
368#88139—21no—
369#88138—21no—
370#88138—21no—
371#88138—21no—
372#88137—21no—
373#88136—21no—
374#88136—21no—
375#88136—21no—
376#88136—21no—
377#88136—21no—
378#88135—21no—
379#88135—21no—
380#88135—21no—
381#88135—21no—
382#88135—21no—
383#88135D411yescharacteristic
384#88135D411yescharacteristic
385C22⋊C4×D13—21no—
386C22⋊C4×D13—21no—
387C22⋊C4×D13—21no—
388C22⋊C4×D13—21no—
389#88132—21no—
390#88131—21no—
391#88131D411yescharacteristic
392#88131D411yescharacteristic
393#88130—21no—
394#88129—21no—
395#88129—21no—
396#88129C2311yescharacteristic
397#88128C2311yescharacteristic
398C4×D52—21no—
399C4×D52—21no—
400C4×D52—21no—
401C4×D52C2311yescharacteristic
402C4×D52C2311yescharacteristic
403#88126—21no—
404#88126—21no—
405#88126—21no—
406C42×D13—21no—
407C42×D13—21no—
408C42×D13—21no—
409C42×D13C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×#107C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#107C2311yescharacteristic
414C13×#106C2311yescharacteristic
415C13×#106C2311yescharacteristic
416C13×#106C2311yescharacteristic
417C13×#106C2311yescharacteristic
418C13×#106C2311yescharacteristic
419C13×#106C2311yescharacteristic
420C13×C4⋊C8C2311yescharacteristic
421C13×#103C2311yescharacteristic
422C13×#103C2311yescharacteristic
423C13×#103C2311yescharacteristic
424C13×#103C2311yescharacteristic
425C13×#103C2311yescharacteristic
426C13×#103C2311yescharacteristic
427C13×C22⋊C8C2311yescharacteristic
428C13×C22⋊C8C2311yescharacteristic
429C13×#97C2311yescharacteristic
430#88075C2311yescharacteristic
431#88075C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433C22⋊#1055C2311yescharacteristic
434#88061C2311yescharacteristic
435#88061C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88060C2311yescharacteristic
440#88060C2311yescharacteristic
441#88057C2311yescharacteristic
442#88056C2311yescharacteristic
443#88055C2311yescharacteristic
444#88055C2311yescharacteristic
445#88055C2311yescharacteristic
446#88055C2311yescharacteristic
447#88055C2311yescharacteristic
448#88055C2311yescharacteristic
449#88054C2311yescharacteristic
450#88054C2311yescharacteristic
451#88054C2311yescharacteristic
452#88054C2311yescharacteristic
453C8×Dic13C2311yescharacteristic
454C8×Dic13C2311yescharacteristic
455#88050C2311yescharacteristic
456#88050C2311yescharacteristic
457#88050C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88049C2311yescharacteristic
461#88049C2311yescharacteristic
462#88049C2311yescharacteristic
463#88049C2311yescharacteristic
464#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88049C2311yescharacteristic
471#88049C2311yescharacteristic
472#88049C2311yescharacteristic
473#88048C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480#88043C2311yescharacteristic
481#61454—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13—21no—
484C23×D13—21no—
485C2×Q8×C13—21no—
486C2×Q8×C13C2411yescharacteristic
487C2×Q8×C13C2411yescharacteristic
488C2×D4×C13C2×D411yescharacteristic
489C22×C4×C13—21no—
490C22×C4×C13—21no—
491C22×C4×C13—21no—
492C22×C4×C13C2411yescharacteristic
493C22×C4×C13C2411yescharacteristic
494C2×C22⋊D13—21no—
495C2×C22⋊D13—21no—
496C2×C22⋊D13—21no—
497C2×C22⋊D13—21no—
498C2×C22⋊D13C2×D411yescharacteristic
499C2×C22⋊D13C2×D411yescharacteristic
500C22×Dic13C2×D411yescharacteristic
501C22×Dic13C2×D411yescharacteristic
502C22×Dic13C2×D411yescharacteristic
503C22×Dic13C2×D411yescharacteristic
504#6131—22no—
505#6131—22no—
506#6131—41no—
507#6131—41no—
508#6131—82no—
509#6129—42no—
510D4×D13—44no—
511#6127—22no—
512#6127—41no—
513C2×D52—22no—
514C2×D52—22no—
515C2×D52—22no—
516C2×D52—21no—
517C2×D52—21no—
518C2×D52—21no—
519C2×D52—21no—
520C2×D52—21no—
521C2×D52—21no—
522C2×D52—21no—
523C2×D52—21no—
524C2×D52—21no—
525C2×D52—21no—
526C2×D52—41no—
527C2×D52—41no—
528C2×D52—41no—
529C2×D52C2411yescharacteristic
530C2×D52C2411yescharacteristic
531C2×D52C2411yescharacteristic
532C2×D52C2411yescharacteristic
533C2×D52C2411yescharacteristic
534C2×C4×D13—21no—
535C2×C4×D13—21no—
536C2×C4×D13—21no—
537C2×C4×D13—21no—
538C2×C4×D13—21no—
539C2×C4×D13—21no—
540C2×C4×D13—21no—
541C2×C4×D13—21no—
542C2×C4×D13—21no—
543C2×C4×D13—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—21no—
548C2×C4×D13—21no—
549C2×C4×D13—21no—
550C2×C4×D13—21no—
551C2×C4×D13—44no—
552C2×C4×D13—82no—
553C2×C4×D13—82no—
554C2×C4×D13C2×D411yescharacteristic
555C2×C4×D13C2×D411yescharacteristic
556C2×C4×D13C2411yescharacteristic
557C2×Dic26—21no—
558C2×Dic26C2×D411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×Q16—22no—
561C13×M16—22no—
562C2×C8×C13—22no—
563C2×C8×C13C2411yescharacteristic
564C2×C8×C13C2411yescharacteristic
565C2×C8×C13C2411yescharacteristic
566C2×C8×C13C2411yescharacteristic
567C13×C4⋊C4—21no—
568C13×C4⋊C4—21no—
569C13×C4⋊C4—21no—
570C13×C4⋊C4—21no—
571C13×C4⋊C4—21no—
572C13×C4⋊C4—21no—
573C13×C4⋊C4—21no—
574C13×C4⋊C4—21no—
575C13×C4⋊C4—21no—
576C13×C4⋊C4—21no—
577C13×C4⋊C4—21no—
578C13×C4⋊C4—21no—
579C13×C4⋊C4C2×D411yescharacteristic
580C13×C4⋊C4C2411yescharacteristic
581C13×C4⋊C4C2411yescharacteristic
582C13×C4⋊C4C2411yescharacteristic
583C13×C4⋊C4C2411yescharacteristic
584C13×C4⋊C4C2411yescharacteristic
585C13×C4⋊C4C2411yescharacteristic
586C13×C22⋊C4—21no—
587C13×C22⋊C4—21no—
588C13×C22⋊C4—21no—
589C13×C22⋊C4—21no—
590C13×C22⋊C4—21no—
591C13×C22⋊C4C2×D411yescharacteristic
592C13×C22⋊C4C2×D411yescharacteristic
593C42×C13—21no—
594C42×C13—21no—
595C42×C13—21no—
596C42×C13C2411yescharacteristic
597C22⋊Dic13—21no—
598C22⋊Dic13C2×D411yescharacteristic
599C22⋊Dic13C2×D411yescharacteristic
600#6107—41no—
601#6106—22no—
602#6106—22no—
603#6106—41no—
604#6106—41no—
605#6106—41no—
606#6103—21no—
607#6103—21no—
608#6103—21no—
609#6103—21no—
610#6103—21no—
611#6103—21no—
612#6103—21no—
613#6103—21no—
614#6103—21no—
615#6103—21no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
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#6103C2×D411yescharacteristic
638#6103C2×D411yescharacteristic
639C4⋊Dic13—21no—
640C4⋊Dic13—21no—
641C4⋊Dic13—21no—
642C4⋊Dic13—21no—
643C4⋊Dic13—21no—
644C4⋊Dic13—21no—
645C4⋊Dic13C2×D411yescharacteristic
646C4⋊Dic13C2411yescharacteristic
647C4⋊Dic13C2411yescharacteristic
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101C2×D411yescharacteristic
658#6101C2×D411yescharacteristic
659#6101C2×D411yescharacteristic
660#6101C2×D411yescharacteristic
661C4×Dic13—21no—
662C4×Dic13—21no—
663C4×Dic13—21no—
664C4×Dic13—21no—
665C4×Dic13—21no—
666C4×Dic13—21no—
667C4×Dic13C2×D411yescharacteristic
668C4×Dic13C2×D411yescharacteristic
669C4×Dic13C2×D411yescharacteristic
670C4×Dic13C2×D411yescharacteristic
671C4×Dic13C2×D411yescharacteristic
672C4×Dic13C2×D411yescharacteristic
673C4×Dic13C2411yescharacteristic
674C4×Dic13C2411yescharacteristic
675C4×Dic13C2411yescharacteristic
676#6099—41no—
677C2×#1055—41no—
678C2×#1055C2411yescharacteristic
679C2×#1055C2411yescharacteristic
680C2×#1055C2411yescharacteristic
681C2×#1055C2411yescharacteristic
682D104—22no—
683D104—22no—
684D104—22no—
685D104—22no—
686D104—41no—
687D104#4114yescomplemented
688#6095—22no—
689#6095—22no—
690#6095—41no—
691C8×D13—22no—
692C8×D13—41no—
693#3481—131no—
694#3475—131no—
695#3401—131no—
696#3389—131no—
697#3376—131no—
698#3370—131no—
699#3347—131no—
700#3344D1311yescharacteristic, complemented
701#3337—131no—
702#3319—131no—
703#3314—131no—
704#3310—131no—
705#3307—131no—
706#3297—131no—
707#3296—131no—
708#3280—131no—
709#3267—131no—
710#3264—131no—
711#3183—131no—
712#3181—131no—
713#3180—131no—
714#3115—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3110—131no—
720#2970—131no—
721C4×AGL(1,ℤ/8)—131no—
722#2943—131no—
723C2×#442—131no—
724C23×C13C22×D411yescharacteristic
725C23×C13C22×D411yescharacteristic
726C22×D13—21no—
727C22×D13—21no—
728C22×D13—21no—
729C22×D13—21no—
730C22×D13—21no—
731C22×D13—42no—
732C22×D13—42no—
733C22×D13—42no—
734C22×D13—42no—
735C22×D13—42no—
736C22×D13—42no—
737C22×D13—81no—
738C22×D13—81no—
739C22×D13—81no—
740C22×D13C22×D411yescharacteristic
741Q8×C13—21no—
742Q8×C13—21no—
743Q8×C13—21no—
744Q8×C13—21no—
745Q8×C13—81no—
746D4×C13—22no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—42no—
760C2×C4×C13—81no—
761C2×C4×C13—81no—
762C2×C4×C13C22×D411yescharacteristic
763C2×C4×C13C22×D411yescharacteristic
764C2×C4×C13C22×D411yescharacteristic
765C2×C4×C13C22×D411yescharacteristic
766C2×C4×C13C2511yescharacteristic
767C22⋊D13—22no—
768C22⋊D13—41no—
769C22⋊D13—42no—
770C22⋊D13—42no—
771C22⋊D13—42no—
772C22⋊D13—81no—
773C2×Dic13—22no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—41no—
778C2×Dic13—41no—
779C2×Dic13—41no—
780C2×Dic13C22×D411yescharacteristic
781C2×Dic13C22×D411yescharacteristic
782C2×Dic13C22×D411yescharacteristic
783C2×Dic13C22×D411yescharacteristic
784C2×Dic13C22×D411yescharacteristic
785C2×Dic13C22×D411yescharacteristic
786C2×Dic13C22×D411yescharacteristic
787D52—21no—
788D52—21no—
789D52—21no—
790D52—21no—
791D52—21no—
792D52—21no—
793D52—21no—
794D52—21no—
795D52—42no—
796D52—42no—
797D52—42no—
798D52—42no—
799D52—42no—
800D52—42no—
801D52—81no—
802D52—81no—
803D52—81no—
804D52—81no—
805D52C2×#4112yes—
806D52C2×#4112yes—
807C4×D13—21no—
808C4×D13—21no—
809C4×D13—41no—
810C4×D13—41no—
811C4×D13—42no—
812C4×D13—42no—
813C4×D13—42no—
814C4×D13—42no—
815C4×D13—42no—
816C4×D13—42no—
817C4×D13—42no—
818C4×D13—42no—
819C4×D13—42no—
820C4×D13—42no—
821C4×D13—42no—
822C4×D13—81no—
823C4×D13—81no—
824C4×D13—81no—
825C4×D13—81no—
826C4×D13—81no—
827C4×D13—81no—
828Dic26—21no—
829Dic26—21no—
830Dic26—41no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13C2×#4112yes—
836#1055—21no—
837#1055—21no—
838#1055—21no—
839#1055—21no—
840C2×AGL(1,ℤ/8)—131no—
841C2×#135—131no—
842C22×D8—131no—
843#559—131no—
844#556—131no—
845#555—131no—
846#554—131no—
847#554—131no—
848#554C2×D1311yescharacteristic
849#553—131no—
850#553—131no—
851#553—261no—
852#553—261no—
853#552—131no—
854#552—261no—
855#552C2×D1311yescharacteristic
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—131no—
864#546—131no—
865#546—261no—
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41—131no—
883C2×C4×D4—131no—
884C2×C4×D4—131no—
885C2×C4×D4—131no—
886C2×C4×D4—261no—
887C2×#117—261no—
888#501—131no—
889#501C2×D1311yescharacteristic, complemented
890#499—131no—
891#497—131no—
892#496—131no—
893#495—131no—
894#491—131no—
895#490—131no—
896#489—131no—
897#489—131no—
898#488—131no—
899#488—131no—
900#485—131no—
901#485C2×D1311yescharacteristic, complemented
902#484—131no—
903#484C2×D1311yescharacteristic, complemented
904#483C2×D1311yescharacteristic, complemented
905#483C2×D1311yescharacteristic, complemented
906#482—131no—
907#482—131no—
908#482—131no—
909#482—131no—
910#480—131no—
911#480—131no—
912#479—131no—
913#479C2×D1311yescharacteristic, complemented
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#475C2×D1311yescharacteristic, complemented
921#474—131no—
922#474—131no—
923#474—131no—
924#470C2×D1311yescharacteristic, complemented
925#469—131no—
926#468—131no—
927#468—131no—
928#467—131no—
929#467C2×D1311yescharacteristic, complemented
930#466—131no—
931#466—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#464—131no—
937#464—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463—131no—
944#461—131no—
945#461—131no—
946#460—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#450—131no—
951#450—131no—
952#450—131no—
953#450—131no—
954#449—131no—
955#449—131no—
956#449—131no—
957#449—131no—
958#447—131no—
959#447—131no—
960#446—131no—
961#446—131no—
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#442—131no—
969#442—131no—
970#442—131no—
971#442—131no—
972#442—131no—
973#441—131no—
974#441—131no—
975#441C2×D1311yescharacteristic, complemented
976#440—131no—
977#440—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982#440—131no—
983#440—131no—
984#440—131no—
985#440—131no—
986C4×SD16—131no—
987C4×SD16—131no—
988C4×D8—131no—
989C4×D8—131no—
990#435—131no—
991#435—131no—
992#435—131no—
993#435C2×D1311yescharacteristic
994C8×D4—131no—
995C8×D4—131no—
996#432—131no—
997#432—131no—
998#432—131no—
999#428C2×D1311yescharacteristic, complemented
1000#427—131no—
1001C2×#106C2×D1311yescharacteristic, complemented
1002#418—131no—
1003#417—131no—
1004#416—131no—
1005#416—131no—
1006C2×#102—131no—
1007C2×#102—131no—
1008C4×M16—131no—
1009C2×#97—131no—
1010C2×#97—131no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13#57512yes—
1017C22×C13C23×D411yescharacteristic
1018C2×D13—21no—
1019C2×D13—21no—
1020C2×D13—22no—
1021C2×D13—22no—
1022C2×D13—21no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—84no—
1037C2×D13—84no—
1038C2×D13—84no—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049C4×C13—41no—
1050C4×C13—41no—
1051C4×C13C22×#4111yescharacteristic
1052C4×C13#58511yescharacteristic
1053Dic13—21no—
1054Dic13—21no—
1055Dic13—21no—
1056Dic13—21no—
1057Dic13—21no—
1058Dic13—21no—
1059Dic13—21no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—131no—
1066C2×#41—131no—
1067C2×#41—261no—
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—131no—
1071C22×D4—261no—
1072C23×C4—261no—
1073C23×C4—261no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—264no—
1076#135—264no—
1077C2×Q16—131no—
1078C2×Q16C22×D1311yescharacteristic
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16—131no—
1086C2×SD16—131no—
1087C2×D8—131no—
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8—131no—
1091C2×D8—131no—
1092C2×D8—131no—
1093C2×D8—264no—
1094C2×M16—131no—
1095C2×M16C22×D1311yescharacteristic
1096C22×C8—131no—
1097C22×C8—131no—
1098C22×C8—131no—
1099C22×C8C22×D1311yescharacteristic
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8C22×D1311yescharacteristic
1103#127—131no—
1104#126—21no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—21no—
1115#125—21no—
1116#125—131no—
1117#125—131no—
1118#125—131no—
1119#125—261no—
1120#125—261no—
1121#125C22×D1311yescharacteristic
1122#124—131no—
1123#124—131no—
1124#124—131no—
1125#124—131no—
1126#124—261no—
1127#124—261no—
1128#124—261no—
1129#124—261no—
1130#123—21no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—261no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8C22×D1311yescharacteristic
1159C22⋊Q8C22×D1311yescharacteristic
1160C22⋊Q8C22×D1311yescharacteristic
1161C22⋊Q8C22×D1311yescharacteristic
1162#121—131no—
1163#121—131no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—131no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121—261no—
1177#121—261no—
1178#120—261no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—261no—
1191C4×Q8C22×D1311yescharacteristic
1192C4×Q8C22×D1311yescharacteristic
1193C4×D4—21no—
1194C4×D4—131no—
1195C4×D4—131no—
1196C4×D4—131no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—131no—
1210C4×D4—131no—
1211C4×D4—131no—
1212C4×D4—131no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4—261no—
1229C4×D4—261no—
1230C4×D4—261no—
1231C4×D4—261no—
1232C4×D4—261no—
1233C4×D4C22×D1311yescharacteristic
1234#117—21no—
1235#117—131no—
1236#117—131no—
1237#117—131no—
1238#117—131no—
1239#117—131no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117—261no—
1251#117C22×D1311yescharacteristic
1252C2×C4⋊C4—261no—
1253C2×C4⋊C4—261no—
1254C2×C4⋊C4—261no—
1255C2×C4⋊C4C22×D1311yescharacteristic
1256C2×C4⋊C4C22×D1311yescharacteristic
1257C2×C4⋊C4C22×D1311yescharacteristic
1258C2×C22⋊C4—261no—
1259C2×C22⋊C4—261no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—131no—
1266C2×C42—131no—
1267C2×C42—131no—
1268C2×C42—261no—
1269C2×C42—261no—
1270C2×C42—261no—
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107C22×D1311yescharacteristic
1277#107C22×D1311yescharacteristic
1278#107C22×D1311yescharacteristic
1279#106—131no—
1280#106—131no—
1281#106C22×D1311yescharacteristic
1282#106C22×D1311yescharacteristic
1283#106C22×D1311yescharacteristic
1284#106C22×D1311yescharacteristic
1285#106C22×D1311yescharacteristic
1286#106C22×D1311yescharacteristic
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292C4⋊C8C22×D1311yescharacteristic
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103C22×D1311yescharacteristic
1300#103C22×D1311yescharacteristic
1301#103C22×D1311yescharacteristic
1302#103C22×D1311yescharacteristic
1303#103C22×D1311yescharacteristic
1304#103C22×D1311yescharacteristic
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102—131no—
1318#102—131no—
1319#102—131no—
1320#102—131no—
1321#102—131no—
1322#102—131no—
1323#102—131no—
1324#102—131no—
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8C22×D1311yescharacteristic
1330C22⋊C8C22×D1311yescharacteristic
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334#97—131no—
1335#97—131no—
1336#97—131no—
1337#97—131no—
1338#97C22×D1311yescharacteristic
1339C4×C8—131no—
1340C4×C8—131no—
1341C2×C13—22no—
1342C2×C13—41no—
1343C2×C13D4×#4111yescharacteristic
1344C2×C13C2×#57511yescharacteristic
1345C2×C13#358511yescharacteristic
1346D13—41no—
1347D13—42no—
1348D13—42no—
1349D13—81no—
1350D13—81no—
1351D13—81no—
1352C24—261no—
1353C24—261no—
1354C24—261no—
1355#41—262no—
1356#41—262no—
1357#41—262no—
1358#41—521no—
1359#41—522no—
1360#41—521no—
1361#41—521no—
1362#41—1042no—
1363C2×Q8—21no—
1364C2×Q8—131no—
1365C2×Q8—131no—
1366C2×Q8—261no—
1367C2×Q8C23×D1311yescharacteristic
1368C2×Q8C23×D1311yescharacteristic
1369C2×D4—131no—
1370C2×D4—131no—
1371C2×D4—131no—
1372C2×D4—131no—
1373C2×D4—131no—
1374C2×D4—131no—
1375C2×D4—131no—
1376C2×D4—262no—
1377C2×D4—262no—
1378C2×D4—262no—
1379C2×D4—261no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—261no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—261no—
1392C2×D4—261no—
1393C2×D4—521no—
1394C2×D4—521no—
1395C2×D4—521no—
1396C2×D4—524no—
1397C2×D4D4×D1311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—131no—
1402C22×C4—131no—
1403C22×C4—131no—
1404C22×C4—131no—
1405C22×C4—131no—
1406C22×C4—131no—
1407C22×C4—131no—
1408C22×C4—261no—
1409C22×C4—261no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—261no—
1421C22×C4—261no—
1422C22×C4—261no—
1423C22×C4—261no—
1424C22×C4—261no—
1425C22×C4—524no—
1426C22×C4—1042no—
1427C22×C4—1042no—
1428C22×C4C23×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—22no—
1431Q16—521no—
1432SD16—262no—
1433SD16—262no—
1434SD16—262no—
1435SD16—262no—
1436SD16—521no—
1437SD16—521no—
1438SD16—521no—
1439SD16—521no—
1440D8—134no—
1441D8—262no—
1442D8—262no—
1443D8—262no—
1444D8—262no—
1445D8—521no—
1446M16—22no—
1447M16—521no—
1448C2×C8—22no—
1449C2×C8—131no—
1450C2×C8—131no—
1451C2×C8—131no—
1452C2×C8—131no—
1453C2×C8—262no—
1454C2×C8—521no—
1455C2×C8—521no—
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—131no—
1473C4⋊C4—131no—
1474C4⋊C4—131no—
1475C4⋊C4—131no—
1476C4⋊C4—131no—
1477C4⋊C4—131no—
1478C4⋊C4—131no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4D4×D1311yescharacteristic
1495C4⋊C4C23×D1311yescharacteristic
1496C4⋊C4C23×D1311yescharacteristic
1497C4⋊C4C23×D1311yescharacteristic
1498C4⋊C4C23×D1311yescharacteristic
1499C4⋊C4C23×D1311yescharacteristic
1500C4⋊C4C23×D1311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—131no—
1507C22⋊C4—131no—
1508C22⋊C4—131no—
1509C22⋊C4—131no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4—261no—
1514C22⋊C4—261no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4D4×D1311yescharacteristic
1543C22⋊C4D4×D1311yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—131no—
1548C42—131no—
1549C42—131no—
1550C42—131no—
1551C42—131no—
1552C42—131no—
1553C42—131no—
1554C42—131no—
1555C42—131no—
1556C42—261no—
1557C42—261no—
1558C42—261no—
1559C42—261no—
1560C42—261no—
1561C42—261no—
1562C42C23×D1311yescharacteristic
1563C13#6145411yescharacteristic, complemented, Sylow
1564C23—131no—
1565C23—261no—
1566C23—261no—
1567C23—261no—
1568C23—261no—
1569C23—261no—
1570C23—522no—
1571C23—522no—
1572C23—522no—
1573C23—522no—
1574C23—522no—
1575C23—522no—
1576C23—1041no—
1577C23—1041no—
1578C23—1041no—
1579C23C2×D4×D1311yescharacteristic
1580C23C2×D4×D1311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—261no—
1587Q8—261no—
1588Q8—521no—
1589Q8—1041no—
1590D4—22no—
1591D4—132no—
1592D4—132no—
1593D4—262no—
1594D4—261no—
1595D4—261no—
1596D4—261no—
1597D4—261no—
1598D4—261no—
1599D4—261no—
1600D4—261no—
1601D4—261no—
1602D4—522no—
1603D4—522no—
1604D4—522no—
1605D4—522no—
1606D4—522no—
1607D4—522no—
1608D4—521no—
1609D4—522no—
1610D4—522no—
1611D4—522no—
1612D4—1041no—
1613D4—1041no—
1614D4—1041no—
1615D4—1041no—
1616D4—1041no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—131no—
1633C2×C4—131no—
1634C2×C4—131no—
1635C2×C4—131no—
1636C2×C4—131no—
1637C2×C4—131no—
1638C2×C4—131no—
1639C2×C4—262no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—521no—
1646C2×C4—521no—
1647C2×C4—522no—
1648C2×C4—522no—
1649C2×C4—522no—
1650C2×C4—522no—
1651C2×C4—522no—
1652C2×C4—522no—
1653C2×C4—522no—
1654C2×C4—522no—
1655C2×C4—522no—
1656C2×C4—522no—
1657C2×C4—522no—
1658C2×C4—521no—
1659C2×C4—521no—
1660C2×C4—521no—
1661C2×C4—1041no—
1662C2×C4—1041no—
1663C2×C4—1041no—
1664C2×C4—1041no—
1665C2×C4—1041no—
1666C2×C4—1041no—
1667C2×C4C2×D4×D1311yescharacteristic
1668C2×C4C2×D4×D1311yescharacteristic
1669C2×C4C2×D4×D1311yescharacteristic
1670C2×C4C2×D4×D1311yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—261no—
1676C8—261no—
1677C8—261no—
1678C8—261no—
1679C8#41×D1312yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—261no—
1686C22—261no—
1687C22—262no—
1688C22—262no—
1689C22—261no—
1690C22—521no—
1691C22—521no—
1692C22—521no—
1693C22—521no—
1694C22—521no—
1695C22—521no—
1696C22—521no—
1697C22—521no—
1698C22—521no—
1699C22—521no—
1700C22—521no—
1701C22—521no—
1702C22—521no—
1703C22—1044no—
1704C22—1044no—
1705C22—1044no—
1706C22#1171948212yes—
1707C22C22×D4×D1311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—261no—
1721C4—261no—
1722C4—261no—
1723C4—261no—
1724C4—261no—
1725C4—261no—
1726C4—261no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C2×#41×D1311yescharacteristic
1731C4#1171965211yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—521no—
1735C2—522no—
1736C2—522no—
1737C2—1041no—
1738C2—1041no—
1739C2—1041no—
1740C2#1312832311yescharacteristic
1741C2C2×#1171948211yescharacteristic
1742C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3344C2
socleC22×C13C23×D4
hypercenter#3344D13
hypocenterC13#61454
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
1. #13128447C2semidirect
2. #13128401C2semidirect
3. #13127903C2semidirect
4. #13127791C2semidirect
5. #13127670C2semidirect
6. #13127592C2semidirect
7. #13127337C2semidirect
8. #13127211C2semidirect
9. #13126995C2semidirect
10. #13126911C2semidirect
11. #13126851C2semidirect
12. #13126815C2semidirect
13. #13126684C2semidirect
14. #13126669C2semidirect
15. #13126518C2semidirect
16. #13126368C2semidirect
17. #13126321C2semidirect
18. #13125566C2semidirect
19. #13125540C2semidirect
20. #13125536C2semidirect
21. #13124990C2semidirect
22. #13124977C2semidirect
23. #13124977C2semidirect
24. #13124952C2semidirect
25. #13124948C2semidirect
26. #13124932C2semidirect
27. #13123846C2semidirect
28. #13123643C2semidirect
29. #13123635C2semidirect
30. C2×#11718530C2semidirect
31. C13×#3344C2semidirect
37. #11719435C22semidirect
38. #11719430C22semidirect
45. #11719396C22semidirect
46. #11719395C22semidirect
51. #11719336C22semidirect
53. #11719335C22semidirect
54. #11719335C22semidirect
58. #11719329C22semidirect
59. #11719329C22semidirect
60. #11719327C22semidirect
61. #11719290C22semidirect
62. C4×#6131C22semidirect
63. C4×#6131C22semidirect
64. #11719273C22semidirect
70. #11719237C22semidirect
72. #11719227C22semidirect
75. #11719219C22semidirect
76. #11719218C22semidirect
78. C2×#88147C22semidirect
79. C2×#88147C22semidirect
80. C13×#501C22semidirect
81. C13×#485C22semidirect
82. C13×#484C22semidirect
83. C13×#483C22semidirect
84. C13×#483C22semidirect
85. C13×#479C22semidirect
86. C13×#475C22semidirect
87. C13×#470C22semidirect
88. C13×#467C22semidirect
89. C13×#441C22semidirect
91. C13×#428C22semidirect
92. C2×C13×#106C22semidirect
93. #11718852C22semidirect
94. #11718851C22semidirect
95. #11718845C22semidirect
97. #11718788C22semidirect
98. M16×Dic13C22semidirect
100. C8×C22⋊D13C22semidirect
101. C2×#88055C22semidirect
102. #11718750C22semidirect
103. #11718748C22semidirect
104. #11718728C22semidirect
105. #11718727C22semidirect
106. #11718712C22semidirect
107. #11718710C22semidirect
108. #11718710C22semidirect
110. #11718708C22semidirect
112. #11718707C22semidirect
113. #11718707C22semidirect
114. #11718689C22semidirect
115. #11718688C22semidirect
116. #11718687C22semidirect
117. #11718687C22semidirect
119. #11718664C22semidirect
120. #11718662C22semidirect
121. #11718631C22semidirect
123. #11718628C22semidirect
124. #11718627C22semidirect
126. C2×#88049C22semidirect
127. #11718552C22semidirect
128. #11718551C22semidirect
129. #11718551C22semidirect
130. #11718550C22semidirect
131. #11718550C22semidirect
132. #11718550C22semidirect
133. #11718546C22semidirect
134. #11718544C22semidirect
135. #11718544C22semidirect
136. #11718537C22semidirect
138. #11718533C22semidirect
139. #11718532C22semidirect
140. #11718532C22semidirect
141. #11718532C22semidirect
142. #11718532C22semidirect
147. #11718530C22semidirect
148. #11718530C22semidirect
149. #11718530C22semidirect
150. #11718530C22semidirect
151. #11718530C22semidirect
152. #11718530C22semidirect
153. #11718528C22semidirect
154. #11718527C22semidirect
155. #11718527C22semidirect
156. #11718525C22semidirect
157. #11718525C22semidirect
158. #11718521C22semidirect
159. #11718519C22semidirect
160. #11718518C22semidirect
161. #11718513C22semidirect
162. #11718513C22semidirect
165. #11718496C22semidirect
166. #11718489C22semidirect
168. #11718480C22semidirect
169. #11718480C22semidirect
170. #11718480C22semidirect
171. #11718480C22semidirect
172. #11718479C22semidirect
173. #11718479C22semidirect
174. #11718478C22semidirect
175. #11718478C22semidirect
176. #11718478C22semidirect
177. #11718478C22semidirect
178. #11718478C22semidirect
180. #11718472C22semidirect
181. #11718472C22semidirect
182. #11718471C22semidirect
183. #11718465C22semidirect
184. #11718465C22semidirect
185. #11718461C22semidirect
186. #11718461C22semidirect
187. #11718459C22semidirect
188. #11718458C22semidirect
189. #11718456C22semidirect
190. #11718450C22semidirect
195. #11718389C22semidirect
196. #11718386C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
201. D13×#97C22semidirect
202. #11718362C22semidirect
687. D104#41semidirect
700. #3344D13semidirect
889. #501C2×D13semidirect
901. #485C2×D13semidirect
903. #484C2×D13semidirect
904. #483C2×D13semidirect
905. #483C2×D13semidirect
913. #479C2×D13semidirect
920. #475C2×D13semidirect
924. #470C2×D13semidirect
929. #467C2×D13semidirect
975. #441C2×D13semidirect
999. #428C2×D13semidirect
1001. C2×#106C2×D13semidirect
1563. C13#61454semidirect

Maximal subgroups

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

subgroupindex
#131284472
#131284012
#131279032
#131277912
#131276702
#131275922
#131273372
#131272112
#131269952
#131269112
#131268512
#131268152
#131266842
#131266692
#131265182
#131263682
#131263212
#131255662
#131255402
#131255362
#131249902
#131249772
#131249522
#131249482
#131249322
#131238462
#131236432
#131236352
C2×#117185302
C13×#33442
#6145413