Finite Group Databasebeta

← #16735372

Subgroups — #16735372

Order 3328.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128566C211yesmaximal, characteristic
2#13128239C211yesmaximal, characteristic, complemented
3#13126135C211yesmaximal, characteristic, complemented
4#13126131C211yesmaximal, characteristic, complemented
5#13126120C211yesmaximal, characteristic, complemented
6#13126116C211yesmaximal, characteristic, complemented
7#13126096C211yesmaximal, characteristic, complemented
8#13126088C211yesmaximal, characteristic, complemented
9#13126084C211yesmaximal, characteristic, complemented
10#13126084C211yesmaximal, characteristic, complemented
11#13126078C211yesmaximal, characteristic, complemented
12#13126074C211yesmaximal, characteristic, complemented
13#13126031C211yesmaximal, characteristic, complemented
14#13126015C211yesmaximal, characteristic, complemented
15#13126012C211yesmaximal, characteristic, complemented
16#13125970C211yesmaximal, characteristic, complemented
17#13125968C211yesmaximal, characteristic, complemented
18#13125371C211yesmaximal, characteristic, complemented
19#13125363C211yesmaximal, characteristic, complemented
20#13125191C211yesmaximal, characteristic, complemented
21#13125191C211yesmaximal, characteristic, complemented
22#13124775C211yesmaximal, characteristic, complemented
23#13124764C211yesmaximal, characteristic, complemented
24#13124748C211yesmaximal, characteristic, complemented
25D13×#482C211yesmaximal, characteristic, complemented
26#13124693C211yesmaximal, characteristic, complemented
27#13124682C211yesmaximal, characteristic, complemented
28#13124662C211yesmaximal, characteristic, complemented
29#13124660C211yesmaximal, characteristic, complemented
30#13123495C211yesmaximal, characteristic, complemented
31C13×#3235C211yesmaximal, characteristic, complemented
32C13×#533C2211yescharacteristic, complemented
33C13×#532C2211yescharacteristic
34#11719534—21no—
35#11719529—21no—
36#11719438C2211yescharacteristic
37#11719434C2211yescharacteristic
38#11719434C2211yescharacteristic
39#11719434C2211yescharacteristic
40#11719434C2211yescharacteristic, complemented
41#11719434C2211yescharacteristic, complemented
42#11719424C2211yescharacteristic
43#11719420C2211yescharacteristic
44#11719394C2211yescharacteristic
45#11719394C2211yescharacteristic
46#11719394C2211yescharacteristic, complemented
47#11719394C2211yescharacteristic, complemented
48#11719384—21no—
49#11719375—21no—
50#11719339—21no—
51#11719339—21no—
52#11719328—21no—
53#11719328—21no—
54#11719315—21no—
55#11719311C2211yescharacteristic
56D13×#121C2211yescharacteristic
57#11719306—21no—
58#11719305C2211yescharacteristic
59#11719301C2211yescharacteristic
60#11719283—21no—
61#11719283—21no—
62#11719283—21no—
63#11719283—21no—
64#11719267C2211yescharacteristic
65#11719266C2211yescharacteristic
66#11719261—21no—
67#11719251C2211yescharacteristic
68#11719250C2211yescharacteristic
69#11719245—21no—
70D13×#117C2211yescharacteristic
71D13×#117C2211yescharacteristic
72#11719222C2211yescharacteristic, complemented
73#11719222C2211yescharacteristic, complemented
74#11719184C2211yescharacteristic
75C2×#88126C2211yescharacteristic
76#11719175C2211yescharacteristic, complemented
77C13×#501C2211yescharacteristic, complemented
78C13×#501C2211yescharacteristic, complemented
79C13×#490C2211yescharacteristic, complemented
80C13×#490C2211yescharacteristic, complemented
81C13×#482C2211yescharacteristic
82C13×#482C2211yescharacteristic
83C13×#482C2211yescharacteristic, complemented
84C13×#482C2211yescharacteristic, complemented
85C13×#476C2211yescharacteristic, complemented
86C13×#476C2211yescharacteristic, complemented
87C13×#474C2211yescharacteristic, complemented
88C13×#474C2211yescharacteristic, complemented
89C13×#432C2211yescharacteristic, complemented
90#11718755C2211yescharacteristic, complemented
91#11718752C2211yescharacteristic, complemented
92#11718748C2211yescharacteristic, complemented
93#11718745C2211yescharacteristic, complemented
94#11718740C2211yescharacteristic, complemented
95#11718739C2211yescharacteristic, complemented
96#11718731C2211yescharacteristic, complemented
97#11718731C2211yescharacteristic, complemented
98#11718729C2211yescharacteristic, complemented
99#11718729C2211yescharacteristic, complemented
100#11718725C2211yescharacteristic, complemented
101#11718725C2211yescharacteristic, complemented
102#11718696C2211yescharacteristic
103#11718696C2211yescharacteristic
104#11718696C2211yescharacteristic, complemented
105#11718696C2211yescharacteristic, complemented
106#11718670C2211yescharacteristic, complemented
107#11718670C2211yescharacteristic, complemented
108#11718670C2211yescharacteristic, complemented
109#11718670C2211yescharacteristic, complemented
110#11718664C2211yescharacteristic
111#11718664C2211yescharacteristic
112#11718657C2211yescharacteristic, complemented
113#11718657C2211yescharacteristic, complemented
114#11718586C2211yescharacteristic, complemented
115#11718552C2211yescharacteristic, complemented
116#11718551C2211yescharacteristic, complemented
117#11718549C2211yescharacteristic, complemented
118#11718546C2211yescharacteristic
119#11718545C2211yescharacteristic, complemented
120#11718543C2211yescharacteristic
121#11718542C2211yescharacteristic
122#11718542C2211yescharacteristic
123#11718541C2211yescharacteristic
124D13×#107C2211yescharacteristic
125#11718539C2211yescharacteristic, complemented
126#11718538C2211yescharacteristic, complemented
127#11718537C2211yescharacteristic, complemented
128#11718537C2211yescharacteristic, complemented
129#11718536C2211yescharacteristic, complemented
130#11718535C2211yescharacteristic, complemented
131#11718532C2211yescharacteristic, complemented
132#11718531C2211yescharacteristic, complemented
133#11718528C2211yescharacteristic, complemented
134#11718527C2211yescharacteristic
135#11718524C2211yescharacteristic
136#11718523C2211yescharacteristic, complemented
137#11718522C2211yescharacteristic
138#11718522C2211yescharacteristic
139#11718521C2211yescharacteristic
140D13×#106C2211yescharacteristic
141#11718519C2211yescharacteristic, complemented
142#11718518C2211yescharacteristic, complemented
143#11718517C2211yescharacteristic, complemented
144#11718517C2211yescharacteristic, complemented
145#11718516C2211yescharacteristic, complemented
146#11718515C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718508C2211yescharacteristic, complemented
149#11718501C2211yescharacteristic, complemented
150#11718501C2211yescharacteristic, complemented
151#11718500C2211yescharacteristic
152#11718500C2211yescharacteristic
153#11718490C2211yescharacteristic, complemented
154#11718490C2211yescharacteristic, complemented
155#11718445C2211yescharacteristic
156#11718445C2211yescharacteristic, complemented
157#11718440C2211yescharacteristic
158#11718440C2211yescharacteristic, complemented
159#11718438C2211yescharacteristic
160#11718438C2211yescharacteristic, complemented
161#11718435C2211yescharacteristic
162#11718435C2211yescharacteristic, complemented
163#11718433C2211yescharacteristic
164#11718433C2211yescharacteristic
165#11718432C2211yescharacteristic
166#11718432C2211yescharacteristic
167#11718431C2211yescharacteristic
168#11718431C2211yescharacteristic
169D13×#102C2211yescharacteristic
170D13×#102C2211yescharacteristic
171#11718429C2211yescharacteristic, complemented
172#11718429C2211yescharacteristic, complemented
173#11718427C2211yescharacteristic, complemented
174#11718427C2211yescharacteristic, complemented
175#11718426C2211yescharacteristic, complemented
176#11718426C2211yescharacteristic, complemented
177#11718425C2211yescharacteristic, complemented
178#11718425C2211yescharacteristic, complemented
179#11718424C2211yescharacteristic, complemented
180#11718424C2211yescharacteristic, complemented
181#11718422C2211yescharacteristic, complemented
182#11718422C2211yescharacteristic, complemented
183#11718421C2211yescharacteristic, complemented
184#11718421C2211yescharacteristic, complemented
185#11718420C2211yescharacteristic, complemented
186#11718420C2211yescharacteristic, complemented
187#11718398C2211yescharacteristic
188#11718398C2211yescharacteristic
189#11718387C2211yescharacteristic
190D13×C22⋊C8C2211yescharacteristic
191#11718384C2211yescharacteristic, complemented
192#11718384C2211yescharacteristic, complemented
193#11718380C2211yescharacteristic, complemented
194#11718379C2211yescharacteristic, complemented
195#11718375C2211yescharacteristic, complemented
196#11718375C2211yescharacteristic, complemented
197#11718370C2211yescharacteristic, complemented
198#11718370C2211yescharacteristic, complemented
199#11718369C2211yescharacteristic
200#11718369C2211yescharacteristic
201#11718363C2211yescharacteristic, complemented
202#11718363C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×#6129—21no—
205C2×#6129C2311yescharacteristic
206C2×D4×D13—21no—
207C2×D4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C13×C4⋊Q8C2311yescharacteristic
210C13×C4⋊Q8C2311yescharacteristic
211C13×C4⋊Q8C2311yescharacteristic
212C13×#127C2311yescharacteristic
213C13×#125C2311yescharacteristic
214C13×#125C2311yescharacteristic
215C13×#124—21no—
216C13×C22⋊Q8—21no—
217C13×C22⋊Q8—21no—
218C13×#121—21no—
219C13×#121C2311yescharacteristic
220C13×#121C2311yescharacteristic
221C4×Q8×C13—21no—
222C4×Q8×C13—21no—
223C4×D4×C13—21no—
224C4×D4×C13C2311yescharacteristic
225C4×D4×C13C2311yescharacteristic
226C13×#117C2311yescharacteristic
227C13×#117C2311yescharacteristic
228C2×C42×C13C2311yescharacteristic
229#88201—21no—
230#88200—21no—
231#88200—21no—
232#88200—21no—
233#88200—21no—
234#88200—21no—
235#88200—21no—
236#88198—21no—
237#88198—21no—
238#88198—21no—
239#88198—21no—
240#88198—21no—
241#88194C2311yescharacteristic
242#88193—21no—
243#88193—21no—
244#88193—21no—
245#88193—21no—
246#88193—21no—
247#88193—21no—
248#88192C2311yescharacteristic
249#88192C2311yescharacteristic
250#88191—21no—
251#88191—21no—
252#88191—21no—
253#88190C2311yescharacteristic
254#88189—21no—
255#88189—21no—
256#88189—21no—
257D4×Dic13—21no—
258D4×Dic13—21no—
259D4×Dic13C2311yescharacteristic
260D4×Dic13C2311yescharacteristic
261#88184—21no—
262#88184C2311yescharacteristic
263#88183—21no—
264#88183—21no—
265#88183—21no—
266C4×C22⋊D13—21no—
267C4×C22⋊D13—21no—
268C4×C22⋊D13—21no—
269C2×#6103—21no—
270C2×#6103D411yescharacteristic
271C2×#6103D411yescharacteristic
272#88180C2311yescharacteristic
273#88180C2311yescharacteristic
274#88178—21no—
275#88178—21no—
276#88178—21no—
277#88178C2311yescharacteristic
278C2×#6101—21no—
279C2×#6101D411yescharacteristic
280C2×#6101D411yescharacteristic
281C2×C4×Dic13C2311yescharacteristic
282C2×#6094C2311yescharacteristic
283C2×#6094C2311yescharacteristic
284C2×C8×D13C2311yescharacteristic
285C2×C8×D13C2311yescharacteristic
286#88152—21no—
287#88151—21no—
288#88151—21no—
289#88151—21no—
290#88151—21no—
291#88151C2311yescharacteristic
292#88150—21no—
293#88150—21no—
294#88150—21no—
295#88150—21no—
296#88150—21no—
297#88150—21no—
298#88150—21no—
299#88150—21no—
300#88150—21no—
301#88149C2311yescharacteristic
302#88148—21no—
303#88147C2311yescharacteristic
304#88146C2311yescharacteristic
305#88146C2311yescharacteristic
306#88146C2311yescharacteristic
307#88146C2311yescharacteristic
308#88146C2311yescharacteristic
309C4⋊C4×D13C2311yescharacteristic
310C4⋊C4×D13C2311yescharacteristic
311C4⋊C4×D13C2311yescharacteristic
312C4⋊C4×D13C2311yescharacteristic
313C4⋊C4×D13C2311yescharacteristic
314#88144C2311yescharacteristic
315#88144C2311yescharacteristic
316#88144C2311yescharacteristic
317#88144C2311yescharacteristic
318#88144C2311yescharacteristic
319#88143—21no—
320#88143—21no—
321#88143—21no—
322#88143—21no—
323#88143—21no—
324#88143—21no—
325#88143—21no—
326#88143—21no—
327#88143—21no—
328#88142—21no—
329#88142—21no—
330#88142—21no—
331#88142—21no—
332#88142C2311yescharacteristic
333#88142C2311yescharacteristic
334#88142C2311yescharacteristic
335#88142C2311yescharacteristic
336#88142C2311yescharacteristic
337#88141C2311yescharacteristic
338#88139—21no—
339#88139—21no—
340#88138—21no—
341#88138—21no—
342#88137—21no—
343#88137—21no—
344#88135—21no—
345#88135—21no—
346#88135—21no—
347#88135—21no—
348C22⋊C4×D13—21no—
349C22⋊C4×D13—21no—
350C22⋊C4×D13—21no—
351C22⋊C4×D13—21no—
352#88133—21no—
353#88133—21no—
354#88132—21no—
355#88132—21no—
356#88132—21no—
357#88132—21no—
358#88131—21no—
359#88131—21no—
360#88131—21no—
361#88131—21no—
362#88130—21no—
363#88129C2311yescharacteristic
364C4×D52C2311yescharacteristic
365#88126—21no—
366#88126—21no—
367#88126—21no—
368#88126D411yescharacteristic
369#88126D411yescharacteristic
370#88126D411yescharacteristic
371#88126D411yescharacteristic
372#88126C2311yescharacteristic
373#88126C2311yescharacteristic
374#88126C2311yescharacteristic
375#88126C2311yescharacteristic
376C42×D13—21no—
377C42×D13—21no—
378#88124C2311yescharacteristic
379#88124C2311yescharacteristic
380#88124C2311yescharacteristic
381#88123C2311yescharacteristic
382#88123C2311yescharacteristic
383C4×Dic26—21no—
384C4×Dic26—21no—
385C4×Dic26—21no—
386C4×Dic26—21no—
387C4×Dic26—21no—
388C4×Dic26—21no—
389C4×Dic26C2311yescharacteristic
390C13×#107C2311yescharacteristic
391C13×#107C2311yescharacteristic
392C13×#107C2311yescharacteristic
393C13×#107C2311yescharacteristic
394C13×#106C2311yescharacteristic
395C13×#106C2311yescharacteristic
396C13×#106C2311yescharacteristic
397C13×#106C2311yescharacteristic
398C13×C4⋊C8C2311yescharacteristic
399C13×C4⋊C8C2311yescharacteristic
400C13×#102C2311yescharacteristic
401C13×#102C2311yescharacteristic
402C13×#102C2311yescharacteristic
403C13×#102C2311yescharacteristic
404C13×#102C2311yescharacteristic
405C13×#102C2311yescharacteristic
406C13×#102C2311yescharacteristic
407C13×#102C2311yescharacteristic
408C13×C22⋊C8C2311yescharacteristic
409C13×C22⋊C8C2311yescharacteristic
410C13×#97C2311yescharacteristic
411C13×#97C2311yescharacteristic
412#88072C2311yescharacteristic
413#88072C2311yescharacteristic
414#88072C2311yescharacteristic
415#88072C2311yescharacteristic
416#88072C2311yescharacteristic
417#88072C2311yescharacteristic
418#88072C2311yescharacteristic
419#88072C2311yescharacteristic
420C22⋊#1055C2311yescharacteristic
421C22⋊#1055C2311yescharacteristic
422#88061C2311yescharacteristic
423#88061C2311yescharacteristic
424#88061C2311yescharacteristic
425#88061C2311yescharacteristic
426#88060C2311yescharacteristic
427#88060C2311yescharacteristic
428#88060C2311yescharacteristic
429#88060C2311yescharacteristic
430#88058C2311yescharacteristic
431#88058C2311yescharacteristic
432#88058C2311yescharacteristic
433#88058C2311yescharacteristic
434#88057C2311yescharacteristic
435#88057C2311yescharacteristic
436#88057C2311yescharacteristic
437#88057C2311yescharacteristic
438#88056C2311yescharacteristic
439#88056C2311yescharacteristic
440#88056C2311yescharacteristic
441#88056C2311yescharacteristic
442#88055C2311yescharacteristic
443#88055C2311yescharacteristic
444#88054C2311yescharacteristic
445#88054C2311yescharacteristic
446#88054C2311yescharacteristic
447#88054C2311yescharacteristic
448C8×Dic13C2311yescharacteristic
449C8×Dic13C2311yescharacteristic
450#88050C2311yescharacteristic
451#88050C2311yescharacteristic
452#88050C2311yescharacteristic
453#88050C2311yescharacteristic
454#88049C2311yescharacteristic
455#88049C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88048C2311yescharacteristic
459#88048C2311yescharacteristic
460#88048C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88047C2311yescharacteristic
467#88047C2311yescharacteristic
468#88047C2311yescharacteristic
469#88047C2311yescharacteristic
470#88047C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474C4⋊#1055C2311yescharacteristic
475C4⋊#1055C2311yescharacteristic
476C4×#1055C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478#60875—131nomaximal, Sylow
479C23×D13—21no—
480C23×D13C2×D411yescharacteristic
481C13×#41—82no—
482C2×Q8×C13—21no—
483C2×Q8×C13—21no—
484C2×Q8×C13—21no—
485C2×D4×C13—21no—
486C2×D4×C13—21no—
487C2×D4×C13—21no—
488C2×D4×C13—21no—
489C2×D4×C13C2411yescharacteristic
490C2×D4×C13C2411yescharacteristic
491C22×C4×C13—21no—
492C22×C4×C13—21no—
493C22×C4×C13C2×D411yescharacteristic
494C22×C4×C13C2×D411yescharacteristic
495C22×C4×C13C2411yescharacteristic
496C2×C22⋊D13—21no—
497C2×C22⋊D13—21no—
498C2×C22⋊D13—21no—
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
502C2×C22⋊D13—21no—
503C22×Dic13—21no—
504C22×Dic13—21no—
505C22×Dic13—21no—
506C22×Dic13C2×D411yescharacteristic
507C22×Dic13C2×D411yescharacteristic
508C22×Dic13C2×D411yescharacteristic
509#6129—22no—
510#6129—22no—
511#6129—82no—
512D4×D13—22no—
513D4×D13—22no—
514D4×D13—82no—
515C2×D52—21no—
516C2×D52C2411yescharacteristic
517C2×C4×D13—22no—
518C2×C4×D13—22no—
519C2×C4×D13—21no—
520C2×C4×D13—21no—
521C2×C4×D13—21no—
522C2×C4×D13—21no—
523C2×C4×D13—21no—
524C2×C4×D13—21no—
525C2×C4×D13—21no—
526C2×C4×D13C2×D411yescharacteristic
527C2×C4×D13C2×D411yescharacteristic
528C2×C4×D13C2411yescharacteristic
529C2×C4×D13C2411yescharacteristic
530C2×Dic26—21no—
531C2×Dic26—21no—
532C2×Dic26—21no—
533C2×Dic26—21no—
534C2×Dic26—21no—
535C2×Dic26—21no—
536C2×Dic26—21no—
537C2×Dic26C2411yescharacteristic
538C2×C8×C13C2411yescharacteristic
539C2×C8×C13C2411yescharacteristic
540C2×C8×C13C2411yescharacteristic
541C2×C8×C13C2411yescharacteristic
542C13×C4⋊C4—21no—
543C13×C4⋊C4—21no—
544C13×C4⋊C4—21no—
545C13×C4⋊C4—21no—
546C13×C4⋊C4—21no—
547C13×C4⋊C4—21no—
548C13×C4⋊C4—21no—
549C13×C4⋊C4C2411yescharacteristic
550C13×C4⋊C4C2411yescharacteristic
551C13×C4⋊C4C2411yescharacteristic
552C13×C4⋊C4C2411yescharacteristic
553C13×C4⋊C4C2411yescharacteristic
554C13×C4⋊C4C2411yescharacteristic
555C13×C22⋊C4—21no—
556C13×C22⋊C4—21no—
557C13×C22⋊C4—21no—
558C13×C22⋊C4—21no—
559C13×C22⋊C4—21no—
560C13×C22⋊C4—21no—
561C42×C13—21no—
562C42×C13—21no—
563C42×C13C2×D411yescharacteristic
564C42×C13C2×D411yescharacteristic
565C42×C13C2411yescharacteristic
566C42×C13C2411yescharacteristic
567C22⋊Dic13—21no—
568C22⋊Dic13—21no—
569C22⋊Dic13—21no—
570C22⋊Dic13—21no—
571C22⋊Dic13—21no—
572C22⋊Dic13—21no—
573C22⋊Dic13—21no—
574C22⋊Dic13—21no—
575C22⋊Dic13—21no—
576#6103—21no—
577#6103—21no—
578#6103—21no—
579#6103—21no—
580#6103—21no—
581#6103—21no—
582#6103—21no—
583#6103—21no—
584#6103—21no—
585#6103—21no—
586#6103—21no—
587#6103—21no—
588#6103C2×D411yescharacteristic
589#6103C2×D411yescharacteristic
590#6103C2×D411yescharacteristic
591#6103C2×D411yescharacteristic
592#6103C2×D411yescharacteristic
593#6103C2×D411yescharacteristic
594#6103C2×D411yescharacteristic
595#6103C2×D411yescharacteristic
596C4⋊Dic13—21no—
597C4⋊Dic13—21no—
598C4⋊Dic13—21no—
599C4⋊Dic13—21no—
600C4⋊Dic13—21no—
601C4⋊Dic13—21no—
602C4⋊Dic13—21no—
603C4⋊Dic13—21no—
604C4⋊Dic13C2411yescharacteristic
605C4⋊Dic13C2411yescharacteristic
606C4⋊Dic13C2411yescharacteristic
607C4⋊Dic13C2411yescharacteristic
608C4⋊Dic13C2411yescharacteristic
609C4⋊Dic13C2411yescharacteristic
610#6101—21no—
611#6101—21no—
612#6101—21no—
613#6101—21no—
614#6101—21no—
615#6101—21no—
616#6101—21no—
617#6101—21no—
618#6101—21no—
619#6101—21no—
620#6101—21no—
621#6101—21no—
622#6101—21no—
623#6101—21no—
624#6101—21no—
625#6101—21no—
626#6101—21no—
627#6101—21no—
628#6101—21no—
629#6101—21no—
630#6101—21no—
631#6101—21no—
632#6101—21no—
633#6101—21no—
634#6101C2×D411yescharacteristic
635#6101C2×D411yescharacteristic
636#6101C2×D411yescharacteristic
637#6101C2×D411yescharacteristic
638#6101C2×D411yescharacteristic
639#6101C2×D411yescharacteristic
640#6101C2×D411yescharacteristic
641#6101C2×D411yescharacteristic
642C4×Dic13—21no—
643C4×Dic13—21no—
644C4×Dic13—21no—
645C4×Dic13—21no—
646C4×Dic13—21no—
647C4×Dic13—21no—
648C4×Dic13—21no—
649C4×Dic13—21no—
650C4×Dic13—21no—
651C4×Dic13C2×D411yescharacteristic
652C4×Dic13C2×D411yescharacteristic
653C4×Dic13C2411yescharacteristic
654C4×Dic13C2411yescharacteristic
655C2×#1055C2411yescharacteristic
656C2×#1055C2411yescharacteristic
657C2×#1055C2411yescharacteristic
658C2×#1055C2411yescharacteristic
659#6094—22no—
660#6094—22no—
661C8×D13—22no—
662C8×D13—22no—
663#3494—131no—
664#3458—131no—
665#3244—131no—
666#3244—131no—
667#3243—131no—
668#3243—131no—
669#3241—131no—
670#3241—131no—
671#3241—131no—
672#3241—131no—
673#3240—131no—
674#3240—131no—
675#3235—131no—
676#3235D1311yescharacteristic, complemented
677#3233—131no—
678#3233—131no—
679#3228—131no—
680#3228—131no—
681#3164—131no—
682#3163—131no—
683#3136—131no—
684#3136—131no—
685#3094—131no—
686#3093—131no—
687#3091—131no—
688C2×#482—131no—
689#3084—131no—
690#3083—131no—
691#3081—131no—
692#3081—131no—
693#2924—131no—
694C23×C13—21no—
695C23×C13—21no—
696C23×C13C22×D411yescharacteristic
697C22×D13—22no—
698C22×D13—21no—
699C22×D13—41no—
700C22×D13—41no—
701C22×D13—42no—
702C22×D13—81no—
703C22×D13—81no—
704C22×D13C22×D411yescharacteristic
705C22×D13C22×D411yescharacteristic
706Q8×C13—81no—
707Q8×C13—81no—
708Q8×C13—81no—
709D4×C13—21no—
710D4×C13—21no—
711D4×C13—21no—
712D4×C13—21no—
713D4×C13—42no—
714D4×C13—42no—
715D4×C13—81no—
716D4×C13—81no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—41no—
726C2×C4×C13—41no—
727C2×C4×C13—81no—
728C2×C4×C13—81no—
729C2×C4×C13C22×D411yescharacteristic
730C2×C4×C13C22×D411yescharacteristic
731C2×C4×C13C22×D411yescharacteristic
732C2×C4×C13C22×D411yescharacteristic
733C2×C4×C13C22×D411yescharacteristic
734C2×C4×C13C2511yescharacteristic
735C22⋊D13—42no—
736C22⋊D13—42no—
737C22⋊D13—42no—
738C22⋊D13—81no—
739C22⋊D13—81no—
740C22⋊D13—81no—
741C22⋊D13—81no—
742C2×Dic13—22no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—41no—
751C2×Dic13—41no—
752C2×Dic13—42no—
753C2×Dic13—81no—
754C2×Dic13—81no—
755C2×Dic13C22×D411yescharacteristic
756C2×Dic13C22×D411yescharacteristic
757C2×Dic13C22×D411yescharacteristic
758C2×Dic13C22×D411yescharacteristic
759C2×Dic13C22×D411yescharacteristic
760C2×Dic13C22×D411yescharacteristic
761D52—21no—
762D52—21no—
763D52—81no—
764C4×D13—22no—
765C4×D13—21no—
766C4×D13—21no—
767C4×D13—22no—
768C4×D13—81no—
769C4×D13—81no—
770C4×D13—81no—
771C4×D13—81no—
772C4×D13—81no—
773C4×D13—81no—
774C4×D13—81no—
775C4×D132−1+412yes—
776C4×D132−1+412yes—
777Dic26—21no—
778Dic26—21no—
779Dic26—81no—
780Dic26—81no—
781Dic26—81no—
782Dic26—81no—
783Dic26—81no—
784Dic26—81no—
785Dic26—81no—
786C8×C13—21no—
787C8×C13—21no—
788C8×C13—21no—
789C8×C13—21no—
790#1055—21no—
791#1055—21no—
792#1055—21no—
793#1055—21no—
794#555—261no—
795#553—261no—
796#553—261no—
797#551—261no—
798#551—261no—
799#547—261no—
800#546—261no—
801#546—261no—
802#544—131no—
803#544—131no—
804#544—131no—
805#544—131no—
806#544—131no—
807#544—131no—
808#544—131no—
809#544—131no—
810#544—131no—
811#544—261no—
812#544—261no—
813#543—261no—
814#543—261no—
815#542—131no—
816#542—131no—
817#540—131no—
818#540—131no—
819#535—131no—
820#533—131no—
821#533—131no—
822#533—131no—
823#533—261no—
824#533—261no—
825#533—261no—
826#533—261no—
827#533C2×D1311yescharacteristic, complemented
828#532—131no—
829#532C2×D1311yescharacteristic
830#529—131no—
831#529—131no—
832#525—131no—
833C2×#121—131no—
834#520—131no—
835#518—131no—
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839#501—131no—
840#501—131no—
841#501—131no—
842#501—131no—
843#501—131no—
844#501—131no—
845#501C2×D1311yescharacteristic, complemented
846#501C2×D1311yescharacteristic, complemented
847#500—131no—
848#500—131no—
849#499—131no—
850#499—131no—
851#499—131no—
852#499—131no—
853#498—131no—
854#498—131no—
855#490—131no—
856#490—131no—
857#490C2×D1311yescharacteristic, complemented
858#490C2×D1311yescharacteristic, complemented
859#489—131no—
860#489—131no—
861#489—131no—
862#489—131no—
863#488—131no—
864#488—131no—
865#488—131no—
866#488—131no—
867#486—131no—
868#486—131no—
869#486—131no—
870#486—131no—
871#485—131no—
872#485—131no—
873#485—131no—
874#485—131no—
875#485—131no—
876#485—131no—
877#484—131no—
878#483—131no—
879#482—131no—
880#482—131no—
881#482—131no—
882#482—131no—
883#482—131no—
884#482—131no—
885#482—131no—
886#482—131no—
887#482—131no—
888#482—131no—
889#482—131no—
890#482—131no—
891#482—131no—
892#482—131no—
893#482C2×D1311yescharacteristic
894#482C2×D1311yescharacteristic
895#482C2×D1311yescharacteristic, complemented
896#482C2×D1311yescharacteristic, complemented
897#481—131no—
898#481—131no—
899#481—131no—
900#480—131no—
901#480—131no—
902#480—131no—
903#479—131no—
904#479—131no—
905#479—131no—
906#479—131no—
907#478—131no—
908#478—131no—
909#478—131no—
910#478—131no—
911#478—131no—
912#478—131no—
913#478—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#477—131no—
920#477—131no—
921#476—131no—
922#476—131no—
923#476—131no—
924#476—131no—
925#476C2×D1311yescharacteristic, complemented
926#476C2×D1311yescharacteristic, complemented
927#475—131no—
928#475—131no—
929#474—131no—
930#474—131no—
931#474—131no—
932#474—131no—
933#474C2×D1311yescharacteristic, complemented
934#474C2×D1311yescharacteristic, complemented
935#433—131no—
936#433—131no—
937#433—131no—
938#433—131no—
939#432—131no—
940#432C2×D1311yescharacteristic, complemented
941#431—131no—
942#431—131no—
943#428—131no—
944#428—131no—
945#428—131no—
946#428—131no—
947#427—131no—
948#427—131no—
949C2×#107—131no—
950C2×#106—131no—
951#424—131no—
952#424—131no—
953#418—131no—
954#418—131no—
955#417—131no—
956#417—131no—
957#416—131no—
958#416—131no—
959C2×#102—131no—
960C2×#102—131no—
961#407—131no—
962C2×C22⋊C8—131no—
963#405—131no—
964#405—131no—
965C22×C13—21no—
966C22×C13—21no—
967C22×C13—21no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13C23×D411yescharacteristic
975C2×D13—21no—
976C2×D13—21no—
977C2×D13—21no—
978C2×D13—21no—
979C2×D13—21no—
980C2×D13—41no—
981C2×D13—41no—
982C2×D13—41no—
983C2×D13—82no—
984C2×D13—162no—
985C2×D13#53612yes—
986C4×C13—21no—
987C4×C13—21no—
988C4×C13—21no—
989C4×C13—21no—
990C4×C13—21no—
991C4×C13—41no—
992C4×C13—41no—
993C4×C13—41no—
994C4×C13—41no—
995C4×C13—41no—
996C4×C13—41no—
997C4×C13C2×2−1+411yescharacteristic
998C4×C13C2×2−1+411yescharacteristic
999Dic13—21no—
1000Dic13—21no—
1001Dic13—21no—
1002Dic13—21no—
1003Dic13—21no—
1004Dic13—41no—
1005Dic13—41no—
1006Dic13—41no—
1007Dic13—41no—
1008Dic13—41no—
1009Dic13—41no—
1010Dic13—41no—
1011Dic13#53612yes—
1012C2×#41—21no—
1013C2×#41—131no—
1014C2×#41—261no—
1015C22×D4—131no—
1016C22×D4—261no—
1017C23×C4—131no—
1018C2×M16—131no—
1019C2×M16—131no—
1020C22×C8—131no—
1021C22×C8—131no—
1022C4⋊Q8—131no—
1023C4⋊Q8—131no—
1024C4⋊Q8—131no—
1025C4⋊Q8—131no—
1026C4⋊Q8—131no—
1027C4⋊Q8—131no—
1028C4⋊Q8—131no—
1029C4⋊Q8—261no—
1030C4⋊Q8—261no—
1031C4⋊Q8—261no—
1032C4⋊Q8—261no—
1033C4⋊Q8—261no—
1034C4⋊Q8—261no—
1035C4⋊Q8—261no—
1036C4⋊Q8—261no—
1037C4⋊Q8—261no—
1038C4⋊Q8C22×D1311yescharacteristic
1039C4⋊Q8C22×D1311yescharacteristic
1040C4⋊Q8C22×D1311yescharacteristic
1041#127—131no—
1042#127C22×D1311yescharacteristic
1043#126—261no—
1044#126—261no—
1045#126—261no—
1046#126—261no—
1047#125—131no—
1048#125—131no—
1049#125—131no—
1050#125—131no—
1051#125—131no—
1052#125—131no—
1053#125—131no—
1054#125—131no—
1055#125—261no—
1056#125—261no—
1057#125—261no—
1058#125—261no—
1059#125—261no—
1060#125—261no—
1061#125—261no—
1062#125—261no—
1063#125—261no—
1064#125C22×D1311yescharacteristic
1065#125C22×D1311yescharacteristic
1066#124—21no—
1067#124—131no—
1068#124—131no—
1069#124—261no—
1070#124—261no—
1071#124—261no—
1072#123—261no—
1073#123—261no—
1074#123—261no—
1075#123—261no—
1076#123—261no—
1077#123—261no—
1078#123—261no—
1079#123—261no—
1080#123—261no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—131no—
1084C22⋊Q8—131no—
1085C22⋊Q8—261no—
1086C22⋊Q8—261no—
1087C22⋊Q8—261no—
1088C22⋊Q8—261no—
1089C22⋊Q8—261no—
1090C22⋊Q8—261no—
1091C22⋊Q8—261no—
1092C22⋊Q8—261no—
1093C22⋊Q8—261no—
1094C22⋊Q8—261no—
1095C22⋊Q8—261no—
1096C22⋊Q8—261no—
1097C22⋊Q8—261no—
1098C22⋊Q8—261no—
1099C22⋊Q8—261no—
1100C22⋊Q8—261no—
1101C22⋊Q8—261no—
1102C22⋊Q8—261no—
1103C22⋊Q8—261no—
1104C22⋊Q8—261no—
1105C22⋊Q8—261no—
1106C22⋊Q8—261no—
1107C22⋊Q8—261no—
1108C22⋊Q8—261no—
1109C22⋊Q8—261no—
1110C22⋊Q8—261no—
1111#121—21no—
1112#121—131no—
1113#121—131no—
1114#121—131no—
1115#121—131no—
1116#121—261no—
1117#121—261no—
1118#121—261no—
1119#121—261no—
1120#121—261no—
1121#121—261no—
1122#121—261no—
1123#121—261no—
1124#121—261no—
1125#121C22×D1311yescharacteristic
1126#121C22×D1311yescharacteristic
1127#120—261no—
1128#120—261no—
1129#120—261no—
1130C4×Q8—21no—
1131C4×Q8—21no—
1132C4×Q8—131no—
1133C4×Q8—131no—
1134C4×Q8—261no—
1135C4×Q8—261no—
1136C4×Q8—261no—
1137C4×Q8—261no—
1138C4×Q8—261no—
1139C4×Q8—261no—
1140C4×D4—21no—
1141C4×D4—131no—
1142C4×D4—131no—
1143C4×D4—131no—
1144C4×D4—131no—
1145C4×D4—261no—
1146C4×D4—261no—
1147C4×D4—261no—
1148C4×D4—261no—
1149C4×D4—261no—
1150C4×D4—261no—
1151C4×D4—261no—
1152C4×D4—261no—
1153C4×D4—261no—
1154C4×D4C22×D1311yescharacteristic
1155C4×D4C22×D1311yescharacteristic
1156#117—131no—
1157#117—131no—
1158#117—131no—
1159#117—131no—
1160#117—131no—
1161#117—131no—
1162#117—131no—
1163#117—131no—
1164#117—131no—
1165#117—131no—
1166#117—131no—
1167#117—131no—
1168#117—131no—
1169#117—131no—
1170#117—131no—
1171#117—261no—
1172#117—261no—
1173#117—261no—
1174#117—261no—
1175#117—261no—
1176#117—261no—
1177#117—261no—
1178#117C22×D1311yescharacteristic
1179#117C22×D1311yescharacteristic
1180C2×C4⋊C4—131no—
1181C2×C4⋊C4—131no—
1182C2×C4⋊C4—131no—
1183C2×C4⋊C4—131no—
1184C2×C4⋊C4—131no—
1185C2×C4⋊C4—131no—
1186C2×C4⋊C4—131no—
1187C2×C4⋊C4—261no—
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—261no—
1191C2×C22⋊C4—261no—
1192C2×C22⋊C4—261no—
1193C2×C22⋊C4—261no—
1194C2×C22⋊C4—261no—
1195C2×C42—131no—
1196C2×C42—261no—
1197C2×C42—261no—
1198C2×C42C22×D1311yescharacteristic
1199#107—131no—
1200#107—131no—
1201#107—131no—
1202#107—131no—
1203#107—131no—
1204#107—131no—
1205#107—131no—
1206#107—131no—
1207#107—131no—
1208#107—131no—
1209#107—131no—
1210#107—131no—
1211#107C22×D1311yescharacteristic
1212#107C22×D1311yescharacteristic
1213#107C22×D1311yescharacteristic
1214#107C22×D1311yescharacteristic
1215#106—131no—
1216#106—131no—
1217#106—131no—
1218#106—131no—
1219#106—131no—
1220#106—131no—
1221#106—131no—
1222#106—131no—
1223#106—131no—
1224#106—131no—
1225#106—131no—
1226#106—131no—
1227#106C22×D1311yescharacteristic
1228#106C22×D1311yescharacteristic
1229#106C22×D1311yescharacteristic
1230#106C22×D1311yescharacteristic
1231C4⋊C8—131no—
1232C4⋊C8—131no—
1233C4⋊C8—131no—
1234C4⋊C8—131no—
1235C4⋊C8—131no—
1236C4⋊C8—131no—
1237C4⋊C8C22×D1311yescharacteristic
1238C4⋊C8C22×D1311yescharacteristic
1239#103—131no—
1240#103—131no—
1241#103—131no—
1242#103—131no—
1243#103—131no—
1244#103—131no—
1245#103—131no—
1246#103—131no—
1247#102—131no—
1248#102—131no—
1249#102—131no—
1250#102—131no—
1251#102—131no—
1252#102—131no—
1253#102—131no—
1254#102—131no—
1255#102—131no—
1256#102—131no—
1257#102—131no—
1258#102—131no—
1259#102—131no—
1260#102—131no—
1261#102—131no—
1262#102—131no—
1263#102C22×D1311yescharacteristic
1264#102C22×D1311yescharacteristic
1265#102C22×D1311yescharacteristic
1266#102C22×D1311yescharacteristic
1267#102C22×D1311yescharacteristic
1268#102C22×D1311yescharacteristic
1269#102C22×D1311yescharacteristic
1270#102C22×D1311yescharacteristic
1271C22⋊C8—131no—
1272C22⋊C8—131no—
1273C22⋊C8—131no—
1274C22⋊C8—131no—
1275C22⋊C8—131no—
1276C22⋊C8—131no—
1277C22⋊C8C22×D1311yescharacteristic
1278C22⋊C8C22×D1311yescharacteristic
1279#97—131no—
1280#97—131no—
1281#97C22×D1311yescharacteristic
1282#97C22×D1311yescharacteristic
1283C4×C8—131no—
1284C4×C8—131no—
1285C4×C8—131no—
1286C4×C8—131no—
1287C2×C13—41no—
1288C2×C13—81no—
1289C2×C13—81no—
1290C2×C13C2×#53611yescharacteristic
1291C2×C13#358411yescharacteristic
1292C2×C13#358511yescharacteristic
1293D13—22no—
1294D13—41no—
1295D13—81no—
1296C24—131no—
1297C24—261no—
1298#41—82no—
1299#41—262no—
1300#41—262no—
1301#41—1042no—
1302C2×Q8—21no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—131no—
1306C2×Q8—261no—
1307C2×Q8—261no—
1308C2×Q8—261no—
1309C2×Q8—261no—
1310C2×Q8—261no—
1311C2×Q8—261no—
1312C2×Q8—261no—
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—131no—
1318C2×D4—261no—
1319C2×D4—262no—
1320C2×D4—262no—
1321C2×D4—261no—
1322C2×D4—261no—
1323C2×D4—261no—
1324C2×D4—261no—
1325C2×D4—261no—
1326C2×D4—261no—
1327C2×D4—261no—
1328C2×D4—1042no—
1329C2×D4C23×D1311yescharacteristic
1330C2×D4C23×D1311yescharacteristic
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—131no—
1334C22×C4—131no—
1335C22×C4—131no—
1336C22×C4—131no—
1337C22×C4—131no—
1338C22×C4—131no—
1339C22×C4—131no—
1340C22×C4—262no—
1341C22×C4—262no—
1342C22×C4—261no—
1343C22×C4—261no—
1344C22×C4—261no—
1345C22×C4—261no—
1346C22×C4—261no—
1347C22×C4—261no—
1348C22×C4—261no—
1349C22×C4—261no—
1350C22×C4—261no—
1351C22×C4—261no—
1352C22×C4D4×D1311yescharacteristic
1353C22×C4D4×D1311yescharacteristic
1354C22×C4C23×D1311yescharacteristic
1355M16—262no—
1356M16—262no—
1357C2×C8—131no—
1358C2×C8—131no—
1359C2×C8—131no—
1360C2×C8—131no—
1361C2×C8—262no—
1362C2×C8—262no—
1363C2×C8C23×D1311yescharacteristic
1364C2×C8C23×D1311yescharacteristic
1365C2×C8C23×D1311yescharacteristic
1366C2×C8C23×D1311yescharacteristic
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—131no—
1375C4⋊C4—131no—
1376C4⋊C4—131no—
1377C4⋊C4—131no—
1378C4⋊C4—131no—
1379C4⋊C4—131no—
1380C4⋊C4—131no—
1381C4⋊C4—131no—
1382C4⋊C4—131no—
1383C4⋊C4—131no—
1384C4⋊C4—131no—
1385C4⋊C4—131no—
1386C4⋊C4—131no—
1387C4⋊C4—131no—
1388C4⋊C4—261no—
1389C4⋊C4—261no—
1390C4⋊C4—261no—
1391C4⋊C4—261no—
1392C4⋊C4—261no—
1393C4⋊C4—261no—
1394C4⋊C4—261no—
1395C4⋊C4—261no—
1396C4⋊C4—261no—
1397C4⋊C4—261no—
1398C4⋊C4—261no—
1399C4⋊C4—261no—
1400C4⋊C4—261no—
1401C4⋊C4—261no—
1402C4⋊C4—261no—
1403C4⋊C4—261no—
1404C4⋊C4—261no—
1405C4⋊C4—261no—
1406C4⋊C4—261no—
1407C4⋊C4—261no—
1408C4⋊C4—261no—
1409C4⋊C4—261no—
1410C4⋊C4—261no—
1411C4⋊C4—261no—
1412C4⋊C4—261no—
1413C4⋊C4—261no—
1414C4⋊C4—261no—
1415C4⋊C4—261no—
1416C4⋊C4—261no—
1417C4⋊C4—261no—
1418C4⋊C4—261no—
1419C4⋊C4—261no—
1420C4⋊C4C23×D1311yescharacteristic
1421C4⋊C4C23×D1311yescharacteristic
1422C4⋊C4C23×D1311yescharacteristic
1423C4⋊C4C23×D1311yescharacteristic
1424C4⋊C4C23×D1311yescharacteristic
1425C4⋊C4C23×D1311yescharacteristic
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—131no—
1433C22⋊C4—131no—
1434C22⋊C4—131no—
1435C22⋊C4—131no—
1436C22⋊C4—131no—
1437C22⋊C4—131no—
1438C22⋊C4—131no—
1439C22⋊C4—131no—
1440C22⋊C4—261no—
1441C22⋊C4—261no—
1442C22⋊C4—261no—
1443C22⋊C4—261no—
1444C22⋊C4—261no—
1445C22⋊C4—261no—
1446C22⋊C4—261no—
1447C22⋊C4—261no—
1448C22⋊C4—261no—
1449C22⋊C4—261no—
1450C22⋊C4—261no—
1451C22⋊C4—261no—
1452C22⋊C4—261no—
1453C22⋊C4—261no—
1454C22⋊C4—261no—
1455C22⋊C4—261no—
1456C22⋊C4—261no—
1457C22⋊C4—261no—
1458C22⋊C4—261no—
1459C22⋊C4—261no—
1460C22⋊C4—261no—
1461C42—21no—
1462C42—21no—
1463C42—131no—
1464C42—131no—
1465C42—131no—
1466C42—131no—
1467C42—261no—
1468C42—261no—
1469C42—261no—
1470C42—261no—
1471C42—261no—
1472C42—261no—
1473C42—261no—
1474C42—261no—
1475C42—261no—
1476C42D4×D1311yescharacteristic
1477C42D4×D1311yescharacteristic
1478C42C23×D1311yescharacteristic
1479C42C23×D1311yescharacteristic
1480C13#6087511yescharacteristic, complemented, Sylow
1481C23—21no—
1482C23—21no—
1483C23—131no—
1484C23—131no—
1485C23—262no—
1486C23—261no—
1487C23—521no—
1488C23—521no—
1489C23—522no—
1490C23—1041no—
1491C23—1041no—
1492C23C2×D4×D1311yescharacteristic
1493Q8—81no—
1494Q8—81no—
1495Q8—81no—
1496Q8—261no—
1497Q8—261no—
1498Q8—1041no—
1499Q8—1041no—
1500Q8—1041no—
1501Q8—1041no—
1502Q8—1041no—
1503Q8—1041no—
1504Q8—1041no—
1505D4—21no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—42no—
1510D4—42no—
1511D4—81no—
1512D4—81no—
1513D4—261no—
1514D4—261no—
1515D4—522no—
1516D4—522no—
1517D4—522no—
1518D4—1041no—
1519D4—1041no—
1520D4—1041no—
1521D4—1041no—
1522D4—1041no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—81no—
1534C2×C4—81no—
1535C2×C4—131no—
1536C2×C4—132no—
1537C2×C4—132no—
1538C2×C4—131no—
1539C2×C4—131no—
1540C2×C4—131no—
1541C2×C4—131no—
1542C2×C4—131no—
1543C2×C4—262no—
1544C2×C4—262no—
1545C2×C4—262no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—261no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—522no—
1556C2×C4—521no—
1557C2×C4—521no—
1558C2×C4—1041no—
1559C2×C4—1041no—
1560C2×C4—1041no—
1561C2×C4—1041no—
1562C2×C4—1041no—
1563C2×C4—1041no—
1564C2×C4—1041no—
1565C2×C4—1041no—
1566C2×C4—1041no—
1567C2×C4C2×D4×D1311yescharacteristic
1568C2×C4C2×D4×D1311yescharacteristic
1569C2×C4C2×D4×D1311yescharacteristic
1570C2×C4C2×D4×D1311yescharacteristic
1571C2×C4C2×D4×D1311yescharacteristic
1572C2×C4C24×D1311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—261no—
1578C8—261no—
1579C8—261no—
1580C8—261no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—132no—
1591C22—261no—
1592C22—261no—
1593C22—261no—
1594C22—261no—
1595C22—261no—
1596C22—521no—
1597C22—521no—
1598C22—521no—
1599C22—1042no—
1600C22—2082no—
1601C22C22×D4×D1311yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—132no—
1614C4—261no—
1615C4—261no—
1616C4—261no—
1617C4—261no—
1618C4—261no—
1619C4—521no—
1620C4—521no—
1621C4—521no—
1622C4—521no—
1623C4—521no—
1624C4—521no—
1625C4—521no—
1626C4D13×2−1+411yescharacteristic
1627C4D13×2−1+411yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—81no—
1631C2—262no—
1632C2—521no—
1633C2—1041no—
1634C2D13×#53611yescharacteristic
1635C2#1312960911yescharacteristic
1636C2#1312961211yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3235C2
socleC22×C13C23×D4
prime radical#13128566C2
hypercenter#3235D13
hypocenterC13#60875
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3235

Complements

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

NH ≅ G/Ntype
2. #13128239C2semidirect
3. #13126135C2semidirect
4. #13126131C2semidirect
5. #13126120C2semidirect
6. #13126116C2semidirect
7. #13126096C2semidirect
8. #13126088C2semidirect
9. #13126084C2semidirect
10. #13126084C2semidirect
11. #13126078C2semidirect
12. #13126074C2semidirect
13. #13126031C2semidirect
14. #13126015C2semidirect
15. #13126012C2semidirect
16. #13125970C2semidirect
17. #13125968C2semidirect
18. #13125371C2semidirect
19. #13125363C2semidirect
20. #13125191C2semidirect
21. #13125191C2semidirect
22. #13124775C2semidirect
23. #13124764C2semidirect
24. #13124748C2semidirect
25. D13×#482C2semidirect
26. #13124693C2semidirect
27. #13124682C2semidirect
28. #13124662C2semidirect
29. #13124660C2semidirect
30. #13123495C2semidirect
31. C13×#3235C2semidirect
32. C13×#533C22semidirect
40. #11719434C22semidirect
41. #11719434C22semidirect
46. #11719394C22semidirect
47. #11719394C22semidirect
72. #11719222C22semidirect
73. #11719222C22semidirect
76. #11719175C22semidirect
77. C13×#501C22semidirect
78. C13×#501C22semidirect
79. C13×#490C22semidirect
80. C13×#490C22semidirect
83. C13×#482C22semidirect
84. C13×#482C22semidirect
85. C13×#476C22semidirect
86. C13×#476C22semidirect
87. C13×#474C22semidirect
88. C13×#474C22semidirect
89. C13×#432C22semidirect
90. #11718755C22semidirect
91. #11718752C22semidirect
92. #11718748C22semidirect
93. #11718745C22semidirect
94. #11718740C22semidirect
95. #11718739C22semidirect
96. #11718731C22semidirect
97. #11718731C22semidirect
98. #11718729C22semidirect
99. #11718729C22semidirect
100. #11718725C22semidirect
101. #11718725C22semidirect
104. #11718696C22semidirect
105. #11718696C22semidirect
106. #11718670C22semidirect
107. #11718670C22semidirect
108. #11718670C22semidirect
109. #11718670C22semidirect
112. #11718657C22semidirect
113. #11718657C22semidirect
114. #11718586C22semidirect
115. #11718552C22semidirect
116. #11718551C22semidirect
117. #11718549C22semidirect
119. #11718545C22semidirect
125. #11718539C22semidirect
126. #11718538C22semidirect
127. #11718537C22semidirect
128. #11718537C22semidirect
129. #11718536C22semidirect
130. #11718535C22semidirect
131. #11718532C22semidirect
132. #11718531C22semidirect
133. #11718528C22semidirect
136. #11718523C22semidirect
141. #11718519C22semidirect
142. #11718518C22semidirect
143. #11718517C22semidirect
144. #11718517C22semidirect
145. #11718516C22semidirect
146. #11718515C22semidirect
147. #11718508C22semidirect
148. #11718508C22semidirect
149. #11718501C22semidirect
150. #11718501C22semidirect
153. #11718490C22semidirect
154. #11718490C22semidirect
156. #11718445C22semidirect
158. #11718440C22semidirect
160. #11718438C22semidirect
162. #11718435C22semidirect
171. #11718429C22semidirect
172. #11718429C22semidirect
173. #11718427C22semidirect
174. #11718427C22semidirect
175. #11718426C22semidirect
176. #11718426C22semidirect
177. #11718425C22semidirect
178. #11718425C22semidirect
179. #11718424C22semidirect
180. #11718424C22semidirect
181. #11718422C22semidirect
182. #11718422C22semidirect
183. #11718421C22semidirect
184. #11718421C22semidirect
185. #11718420C22semidirect
186. #11718420C22semidirect
191. #11718384C22semidirect
192. #11718384C22semidirect
193. #11718380C22semidirect
194. #11718379C22semidirect
195. #11718375C22semidirect
196. #11718375C22semidirect
197. #11718370C22semidirect
198. #11718370C22semidirect
201. #11718363C22semidirect
202. #11718363C22semidirect
676. #3235D13semidirect
827. #533C2×D13semidirect
845. #501C2×D13semidirect
846. #501C2×D13semidirect
857. #490C2×D13semidirect
858. #490C2×D13semidirect
895. #482C2×D13semidirect
896. #482C2×D13semidirect
925. #476C2×D13semidirect
926. #476C2×D13semidirect
933. #474C2×D13semidirect
934. #474C2×D13semidirect
940. #432C2×D13semidirect
1480. C13#60875semidirect

Maximal subgroups

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

subgroupindex
#131285662
#131282392
#131261352
#131261312
#131261202
#131261162
#131260962
#131260882
#131260842
#131260782
#131260742
#131260312
#131260152
#131260122
#131259702
#131259682
#131253712
#131253632
#131251912
#131247752
#131247642
#131247482
D13×#4822
#131246932
#131246822
#131246622
#131246602
#131234952
C13×#32352
#6087513