Finite Group Databasebeta

← #29483844

Subgroups — #29483844

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438426C211yesmaximal, characteristic, complemented
2#21438168C211yesmaximal, characteristic, complemented
3#21437164C211yesmaximal, characteristic, complemented
4#21437118C211yesmaximal, characteristic, complemented
5#21436851C211yesmaximal, characteristic, complemented
6#21436805C211yesmaximal, characteristic, complemented
7#21436328C211yesmaximal, characteristic, complemented
8#21436299C211yesmaximal, characteristic, complemented
9#21436239C211yesmaximal, characteristic, complemented
10#21436224C211yesmaximal, characteristic, complemented
11#21436134C211yesmaximal, characteristic, complemented
12#21436119C211yesmaximal, characteristic, complemented
13#21435708C211yesmaximal, characteristic, complemented
14#21435698C211yesmaximal, characteristic, complemented
15#21435641C211yesmaximal, characteristic, complemented
16#21435626C211yesmaximal, characteristic, complemented
17#21435581C211yesmaximal, characteristic, complemented
18#21435581C211yesmaximal, characteristic, complemented
19#21435543C211yesmaximal, characteristic, complemented
20#21435509C211yesmaximal, characteristic, complemented
21#21435497C211yesmaximal, characteristic, complemented
22#21435192C211yesmaximal, characteristic, complemented
23#21435170C211yesmaximal, characteristic, complemented
24#21435116C211yesmaximal, characteristic, complemented
25#21434340C211yesmaximal, characteristic, complemented
26#21434297C211yesmaximal, characteristic, complemented
27#21434207C211yesmaximal, characteristic, complemented
28#21433637C211yesmaximal, characteristic, complemented
29#21433600C211yesmaximal, characteristic, complemented
30#21433577C211yesmaximal, characteristic, complemented
31C59×#2995C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273749C2211yescharacteristic, complemented
37C22×D472C2211yescharacteristic, complemented
38#16838143—21no—
39#16838143—21no—
40#16838137C2211yescharacteristic, complemented
41#16838125C2211yescharacteristic, complemented
42#16838122C2211yescharacteristic, complemented
43#16838112C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic, complemented
45#16838097—21no—
46#16838092C2211yescharacteristic, complemented
47#16838084—21no—
48#16838082—21no—
49#16838080—21no—
50#16838074C2211yescharacteristic, complemented
51#16838073C2211yescharacteristic
52#16838057C2211yescharacteristic, complemented
53#16838048C2211yescharacteristic
54#16838048C2211yescharacteristic, complemented
55#16838048C2211yescharacteristic, complemented
56#16838048C2211yescharacteristic, complemented
57#16838043—21no—
58D4×D236C2211yescharacteristic
59D4×D236C2211yescharacteristic
60D4×D236C2211yescharacteristic, complemented
61#16838036—21no—
62#16838023C2211yescharacteristic, complemented
63#16838014C2211yescharacteristic, complemented
64#16838008—21no—
65#16838007C2211yescharacteristic
66#16838007C2211yescharacteristic, complemented
67#16837998—21no—
68#16837984—21no—
69#16837971C2211yescharacteristic
70#16837971C2211yescharacteristic, complemented
71#16837970—21no—
72#16837963—21no—
73#16837963—21no—
74C2×#14273724C2211yescharacteristic, complemented
75#16837936C2211yescharacteristic, complemented
76#16837936C2211yescharacteristic, complemented
77#16837935—21no—
78#126×D59—21no—
79#16837882C2211yescharacteristic, complemented
80#16837876C2211yescharacteristic, complemented
81C4×#11745685C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic
84#16837791C2211yescharacteristic, complemented
85#16837791C2211yescharacteristic, complemented
86#16837786C2211yescharacteristic, complemented
87#16837775C2211yescharacteristic, complemented
88#16837767C2211yescharacteristic, complemented
89#16837767C2211yescharacteristic, complemented
90#16837767C2211yescharacteristic, complemented
91#16837762C2211yescharacteristic, complemented
92#16837757C2211yescharacteristic, complemented
93#16837749C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837721C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837703C2211yescharacteristic, complemented
107#16837703C2211yescharacteristic, complemented
108#16837693C2211yescharacteristic, complemented
109#16837683C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837655C2211yescharacteristic
112#16837655C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837648C2211yescharacteristic, complemented
117#16837648C2211yescharacteristic, complemented
118#16837638C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837625C2211yescharacteristic, complemented
124#16837625C2211yescharacteristic, complemented
125#16837625C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic, complemented
127#16837618C2211yescharacteristic, complemented
128#16837618C2211yescharacteristic, complemented
129#16837618C2211yescharacteristic, complemented
130#16837618C2211yescharacteristic, complemented
131#16837618C2211yescharacteristic, complemented
132#16837618C2211yescharacteristic, complemented
133#16837618C2211yescharacteristic, complemented
134#16837608C2211yescharacteristic, complemented
135#16837608C2211yescharacteristic, complemented
136#16837603C2211yescharacteristic, complemented
137#16837603C2211yescharacteristic, complemented
138#16837603C2211yescharacteristic, complemented
139#16837603C2211yescharacteristic, complemented
140#16837603C2211yescharacteristic, complemented
141#16837603C2211yescharacteristic, complemented
142#16837603C2211yescharacteristic, complemented
143#16837598C2211yescharacteristic
144#16837598C2211yescharacteristic, complemented
145#16837598C2211yescharacteristic, complemented
146#16837598C2211yescharacteristic, complemented
147#16837598C2211yescharacteristic, complemented
148#16837598C2211yescharacteristic, complemented
149#16837598C2211yescharacteristic, complemented
150#16837598C2211yescharacteristic, complemented
151#16837598C2211yescharacteristic, complemented
152#16837566C2211yescharacteristic, complemented
153#16837566C2211yescharacteristic, complemented
154#16837566C2211yescharacteristic, complemented
155#16837566C2211yescharacteristic, complemented
156#16837555C2211yescharacteristic, complemented
157#16837555C2211yescharacteristic, complemented
158#16837555C2211yescharacteristic, complemented
159#16837555C2211yescharacteristic, complemented
160#16837555C2211yescharacteristic, complemented
161#16837549C2211yescharacteristic
162#16837549C2211yescharacteristic, complemented
163#16837549C2211yescharacteristic, complemented
164#16837549C2211yescharacteristic, complemented
165#16837538C2211yescharacteristic, complemented
166#16837538C2211yescharacteristic, complemented
167#16837538C2211yescharacteristic, complemented
168#16837538C2211yescharacteristic, complemented
169#16837538C2211yescharacteristic, complemented
170#16837515C2211yescharacteristic, complemented
171#16837515C2211yescharacteristic, complemented
172#16837515C2211yescharacteristic, complemented
173#16837515C2211yescharacteristic, complemented
174#16837510C2211yescharacteristic, complemented
175#16837504C2211yescharacteristic, complemented
176#16837504C2211yescharacteristic, complemented
177#16837504C2211yescharacteristic, complemented
178C4×#11745660C2211yescharacteristic, complemented
179C4×D472C2211yescharacteristic, complemented
180C4×D472C2211yescharacteristic, complemented
181C4×D472C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic, complemented
184#16837408C2211yescharacteristic, complemented
185#16837404C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic
189C59×#446C2211yescharacteristic, complemented
190C59×#446C2211yescharacteristic, complemented
191C59×#436C2211yescharacteristic, complemented
192C59×#436C2211yescharacteristic, complemented
193C59×#435C2211yescharacteristic, complemented
194C59×#435C2211yescharacteristic, complemented
195C59×#435C2211yescharacteristic, complemented
196C59×#435C2211yescharacteristic, complemented
197C59×#433C2211yescharacteristic, complemented
198C59×#433C2211yescharacteristic, complemented
199C59×#432C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#424C2211yescharacteristic, complemented
202C59×#423C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C22×D236—21no—
209C22×D236—21no—
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C2×D4×D59—21no—
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218#14273755—42no—
219#14273755—42no—
220#14273755—42no—
221#14273755—42no—
222#14273749—42no—
223C2×Dic236C2311yescharacteristic
224C2×Dic236C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×D472—42no—
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×D472C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×D472C2311yescharacteristic
244C2×D472C2311yescharacteristic
245C2×D472C2311yescharacteristic
246C2×D472C2311yescharacteristic
247C2×D472C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273724—21no—
251#14273724—21no—
252#14273724C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273724C2311yescharacteristic
255#14273724C2311yescharacteristic
256#14273724C2311yescharacteristic
257#14273724C2311yescharacteristic
258#14273723—21no—
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273722—21no—
263#14273721—21no—
264#14273721—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273720—21no—
269#14273720—21no—
270#14273719C2311yescharacteristic
271#14273719C2311yescharacteristic
272#14273719C2311yescharacteristic
273#14273717—21no—
274#14273717—21no—
275#14273717—21no—
276#14273716—21no—
277#14273715C2311yescharacteristic
278#14273715C2311yescharacteristic
279#14273715C2311yescharacteristic
280#14273715C2311yescharacteristic
281#14273715C2311yescharacteristic
282#14273714—21no—
283#14273713—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273710—21no—
295#14273710—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273708—21no—
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273703—21no—
310#14273703—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic
325#14273701C2311yescharacteristic
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273699—21no—
339#14273698—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354C4×Dic118C2311yescharacteristic
355C4×Dic118C2311yescharacteristic
356C4×Dic118C2311yescharacteristic
357C4×Dic118C2311yescharacteristic
358C4×Dic118C2311yescharacteristic
359#14273692—21no—
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364C4×D236C2311yescharacteristic
365C4×D236C2311yescharacteristic
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368C4×D236C2311yescharacteristic
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic
371#14273689—21no—
372#14273689—21no—
373#14273689—21no—
374#14273689—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273686C2311yescharacteristic
383#14273686C2311yescharacteristic
384#14273685—21no—
385#14273685—21no—
386#14273684—21no—
387#14273684—21no—
388#14273684—21no—
389#14273683—21no—
390C2×C4⋊Dic59C2311yescharacteristic
391C4⋊C4×D59—21no—
392C4⋊C4×D59—21no—
393C4⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C42×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273661C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273659C2311yescharacteristic
408#14273659C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273649C2311yescharacteristic
428#14273649C2311yescharacteristic
429#14273649C2311yescharacteristic
430#14273649C2311yescharacteristic
431#14273649C2311yescharacteristic
432#14273649C2311yescharacteristic
433#14273649C2311yescharacteristic
434#14273649C2311yescharacteristic
435#14273649C2311yescharacteristic
436#14273649C2311yescharacteristic
437#14273649C2311yescharacteristic
438#14273649C2311yescharacteristic
439#14273649C2311yescharacteristic
440#14273649C2311yescharacteristic
441C2×M16×C59C2311yescharacteristic
442C2×M16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447#126×C59D411yescharacteristic
448#126×C59D411yescharacteristic
449#125×C59D411yescharacteristic
450#124×C59D411yescharacteristic
451#123×C59D411yescharacteristic
452#123×C59D411yescharacteristic
453C22⋊Q8×C59D411yescharacteristic
454#121×C59D411yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460#117×C59C2311yescharacteristic
461C2×C42×C59C2311yescharacteristic
462C4⋊C8×C59C2311yescharacteristic
463C4⋊C8×C59C2311yescharacteristic
464C4⋊C8×C59C2311yescharacteristic
465C4⋊C8×C59C2311yescharacteristic
466C4⋊C8×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472C22⋊C8×C59C2311yescharacteristic
473C22⋊C8×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C4×C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C2×Q8×C59C2×D411yescharacteristic
490C2×D4×C59C2×D411yescharacteristic
491C2×D4×C59C2×D411yescharacteristic
492C2×D4×C59C2×D411yescharacteristic
493C22×C4×C59C2×D411yescharacteristic
494C22×C4×C59C2×D411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C22×Dic59—21no—
510#11745689—82no—
511D4×D59—82no—
512D4×D59—82no—
513D4×D59—82no—
514#11745685—22no—
515#11745685—22no—
516#11745685—41no—
517#11745685—41no—
518#11745685—41no—
519#11745685—41no—
520#11745685—41no—
521#11745685—41no—
522C2×D236—22no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—41no—
541C2×D236—41no—
542C2×D236—41no—
543C2×D236—41no—
544C2×D236—41no—
545C2×D236—41no—
546C2×D236—41no—
547C2×D236—41no—
548C2×D236—41no—
549C2×D236—82no—
550C2×D236—82no—
551C2×D236C2411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×D236C2411yescharacteristic
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×Dic118—21no—
574C2×Dic118C2411yescharacteristic
575C2×Dic118C2411yescharacteristic
576C2×Dic118C2411yescharacteristic
577M16×C59—41no—
578M16×C59—41no—
579M16×C59—41no—
580M16×C59—41no—
581C2×C8×C59—41no—
582C2×C8×C59—41no—
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2×D411yescharacteristic
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2×D411yescharacteristic
599C4⋊C4×C59C2×D411yescharacteristic
600C4⋊C4×C59C2×D411yescharacteristic
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C22⋊C4×C59C2×D411yescharacteristic
609C22⋊C4×C59C2×D411yescharacteristic
610C22⋊C4×C59C2×D411yescharacteristic
611C42×C59C2×D411yescharacteristic
612C42×C59C2×D411yescharacteristic
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C42×C59C2411yescharacteristic
616C42×C59C2411yescharacteristic
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685Dic236—41no—
686Dic236—41no—
687D472—22no—
688D472—22no—
689D472—22no—
690D472—22no—
691D472—22no—
692D472—41no—
693D472—41no—
694D472—41no—
695D472—41no—
696D472—41no—
697#11745660—22no—
698#11745660—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745660—41no—
708#11745660—41no—
709C23×C59C22×D411yescharacteristic
710C23×C59C22×D411yescharacteristic
711C23×C59C22×D411yescharacteristic
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734Q8×C59—41no—
735D4×C59—41no—
736D4×C59—41no—
737D4×C59—41no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—41no—
745C2×C4×C59—41no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C2511yescharacteristic
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—81no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—42no—
793D236—42no—
794D236—42no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236—81no—
808D236—81no—
809D236H(5,𝔽2)12yes—
810C4×D59—42no—
811C4×D59—42no—
812C4×D59—42no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—21no—
830Dic118—21no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C8×C59—21no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59—21no—
840#62079—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—21no—
849C22×C59—21no—
850C22×C59C23×D411yescharacteristic
851C2×D59—22no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—162no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59C2×H(5,𝔽2)11yescharacteristic
889C4×C59#58511yescharacteristic
890Dic59—41no—
891Dic59—41no—
892Dic59—41no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3543—591no—
900#3521—591no—
901#3401—591no—
902#3397—591no—
903#3370—591no—
904#3366—591no—
905#3324—591no—
906#3322—591no—
907#3318—591no—
908#3317—591no—
909#3311—591no—
910#3310—591no—
911#3273—591no—
912#3272—591no—
913#3268—591no—
914#3267—591no—
915#3264—591no—
916#3264—591no—
917#3260—591no—
918#3257—591no—
919#3256—591no—
920#3224—591no—
921#3222—591no—
922#3217—591no—
923#3122—591no—
924#3119—591no—
925#3111—591no—
926#3045—591no—
927#3041—591no—
928#3038—591no—
929#2995D5911yescharacteristic, complemented
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—41no—
933C2×C59#348811yescharacteristic
934C2×C59#358511yescharacteristic
935C2×C59#358511yescharacteristic
936D59—42no—
937D59—81no—
938D59—81no—
939D59—81no—
940D59—81no—
941D59—81no—
942D59—81no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)—591no—
947C2×#135—591no—
948C22×D8—591no—
949#560—1181no—
950#560—1181no—
951#559—591no—
952#556—591no—
953#556—591no—
954#554—591no—
955#553—591no—
956#553—1181no—
957#552—591no—
958#552—1181no—
959#551—1181no—
960#551—1181no—
961#550—591no—
962#550—591no—
963#547—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—591no—
968#546—1181no—
969D42—591no—
970D42—591no—
971D42—591no—
972D42—1181no—
973#542—591no—
974#541—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#539—1181no—
979#538—1181no—
980#535—591no—
981#535—591no—
982#535—1181no—
983#534—1181no—
984#534—1181no—
985C2×#127—591no—
986#529—591no—
987#529—591no—
988#529—1181no—
989#529C2×D5911yescharacteristic
990C2×#126—1181no—
991#520—591no—
992#518—591no—
993C4×#41—591no—
994#497—591no—
995#496—591no—
996#496—591no—
997#496—591no—
998#495—591no—
999#492—591no—
1000#490—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#488—591no—
1005#486—591no—
1006#485—591no—
1007#482—591no—
1008#482—591no—
1009#482—591no—
1010#481—591no—
1011#480—591no—
1012#479—591no—
1013#479—591no—
1014#479—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478—591no—
1020#476—591no—
1021#474—591no—
1022#470—591no—
1023#469—591no—
1024#469—591no—
1025#468—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#468—591no—
1030#466—591no—
1031#465—591no—
1032#465—591no—
1033#465—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#461—591no—
1047#461—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#460—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#459—591no—
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#452—591no—
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450—591no—
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#446C2×D5911yescharacteristic, complemented
1083#446C2×D5911yescharacteristic, complemented
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#441—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092C4×SD16—591no—
1093C4×D8—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436C2×D5911yescharacteristic, complemented
1097#436C2×D5911yescharacteristic, complemented
1098#435C2×D5911yescharacteristic, complemented
1099#435C2×D5911yescharacteristic, complemented
1100#435C2×D5911yescharacteristic, complemented
1101#435C2×D5911yescharacteristic, complemented
1102#433C2×D5911yescharacteristic, complemented
1103#433C2×D5911yescharacteristic, complemented
1104#432C2×D5911yescharacteristic, complemented
1105#424C2×D5911yescharacteristic, complemented
1106#424C2×D5911yescharacteristic, complemented
1107#423C2×D5911yescharacteristic, complemented
1108#418—591no—
1109#418—591no—
1110#418—591no—
1111#417—591no—
1112#416—591no—
1113C2×#102—591no—
1114C59#6207911yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129C22×D4—1181no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134#135—2362no—
1135C2×Q16—591no—
1136C2×Q16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×D8—2362no—
1160C2×M16C22×D5911yescharacteristic
1161C2×M16C22×D5911yescharacteristic
1162C2×M16C22×D5911yescharacteristic
1163C2×M16C22×D5911yescharacteristic
1164C22×C8C22×D5911yescharacteristic
1165C22×C8C22×D5911yescharacteristic
1166C4⋊Q8—591no—
1167C4⋊Q8—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—591no—
1174#127—1181no—
1175#127—1181no—
1176#127—1181no—
1177#126—1181no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#126—1181no—
1186#126—1181no—
1187#126—1181no—
1188#126D23611yescharacteristic
1189#126D23611yescharacteristic
1190#125—591no—
1191#125—591no—
1192#125—591no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125D23611yescharacteristic
1197#124—591no—
1198#124—591no—
1199#124—591no—
1200#124—591no—
1201#124—591no—
1202#124—1181no—
1203#124—1181no—
1204#124—1181no—
1205#124D23611yescharacteristic
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123D23611yescharacteristic
1224#123D23611yescharacteristic
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8D23611yescharacteristic
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121D23611yescharacteristic
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—1181no—
1286C4×Q8C22×D5911yescharacteristic
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312#117—591no—
1313#117—591no—
1314#117—1181no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117C22×D5911yescharacteristic
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—1181no—
1333C2×C42C22×D5911yescharacteristic
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#107—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342C4⋊C8C22×D5911yescharacteristic
1343C4⋊C8C22×D5911yescharacteristic
1344C4⋊C8C22×D5911yescharacteristic
1345C4⋊C8C22×D5911yescharacteristic
1346C4⋊C8C22×D5911yescharacteristic
1347C4⋊C8C22×D5911yescharacteristic
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384C22⋊C8C22×D5911yescharacteristic
1385C22⋊C8C22×D5911yescharacteristic
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388C22⋊C8C22×D5911yescharacteristic
1389C22⋊C8C22×D5911yescharacteristic
1390#97C22×D5911yescharacteristic
1391#97C22×D5911yescharacteristic
1392#97C22×D5911yescharacteristic
1393#97C22×D5911yescharacteristic
1394C4×C8C22×D5911yescharacteristic
1395C4×C8C22×D5911yescharacteristic
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—1182no—
1402#41—1182no—
1403#41—4722no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8—1181no—
1414C2×Q8C2×D23611yescharacteristic
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—1182no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—4722no—
1452C2×D4—4722no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4C2×D23611yescharacteristic
1466C2×D4C2×D23611yescharacteristic
1467C2×D4C2×D23611yescharacteristic
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4C2×D23611yescharacteristic
1485C22×C4C2×D23611yescharacteristic
1486C22×C4C23×D5911yescharacteristic
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489Q16—2361no—
1490Q16—2361no—
1491SD16—1182no—
1492SD16—2361no—
1493SD16—2361no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—1182no—
1504D8—1182no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513M16—41no—
1514M16—41no—
1515M16—41no—
1516M16—41no—
1517C2×C8—41no—
1518C2×C8—41no—
1519C2×C8C23×D5911yescharacteristic
1520C2×C8C23×D5911yescharacteristic
1521C2×C8C23×D5911yescharacteristic
1522C2×C8C23×D5911yescharacteristic
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4C2×D23611yescharacteristic
1554C4⋊C4C2×D23611yescharacteristic
1555C4⋊C4C2×D23611yescharacteristic
1556C4⋊C4C2×D23611yescharacteristic
1557C4⋊C4C2×D23611yescharacteristic
1558C4⋊C4C2×D23611yescharacteristic
1559C4⋊C4C2×D23611yescharacteristic
1560C4⋊C4C2×D23611yescharacteristic
1561C4⋊C4C2×D23611yescharacteristic
1562C4⋊C4C2×D23611yescharacteristic
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4C2×D23611yescharacteristic
1599C22⋊C4C2×D23611yescharacteristic
1600C22⋊C4C2×D23611yescharacteristic
1601C22⋊C4C2×D23611yescharacteristic
1602C22⋊C4C2×D23611yescharacteristic
1603C22⋊C4C2×D23611yescharacteristic
1604C22⋊C4C2×D23611yescharacteristic
1605C22⋊C4C2×D23611yescharacteristic
1606C22⋊C4C2×D23611yescharacteristic
1607C22⋊C4C2×D23611yescharacteristic
1608C42—1181no—
1609C42—1181no—
1610C42—1181no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42C2×D23611yescharacteristic
1616C42C2×D23611yescharacteristic
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—1181no—
1622C23—1181no—
1623C23—1181no—
1624C23—1181no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—4721no—
1629C23—4721no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—2362no—
1641C23—2362no—
1642C23—2362no—
1643C23C22×D23611yescharacteristic
1644C23C22×D23611yescharacteristic
1645C23C22×D23611yescharacteristic
1646Q8—41no—
1647Q8—1181no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—1181no—
1653Q8—4721no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—592no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—2362no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—2362no—
1730C2×C4—2362no—
1731C2×C4—2362no—
1732C2×C4C22×D23611yescharacteristic
1733C2×C4C22×D23611yescharacteristic
1734C2×C4C22×D23611yescharacteristic
1735C2×C4C22×D23611yescharacteristic
1736C2×C4C22×D23611yescharacteristic
1737C2×C4C22×D23611yescharacteristic
1738C2×C4C22×D23611yescharacteristic
1739C2×C4C22×D23611yescharacteristic
1740C2×C4C22×D23611yescharacteristic
1741C2×C4C22×D23611yescharacteristic
1742C2×C4C22×D23611yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—21no—
1749C8—21no—
1750C8—21no—
1751C8—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—1182no—
1762C22—9442no—
1763C22—9442no—
1764C22—9442no—
1765C22—9442no—
1766C22—9442no—
1767C22—2361no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22—2361no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C23×D23611yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—2361no—
1800C4—2361no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4H(5,𝔽2)×D5911yescharacteristic
1809C4#1683823911yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—41no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—4721no—
1818C2—4721no—
1819C2—2362no—
1820C2#2143776611yescharacteristic
1821C2#2143887711yescharacteristic
1822C2#2143887711yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2995C2
socleC22×C59C23×D4
hypercenter#2995D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #2995

Complements

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

NH ≅ G/Ntype
1. #21438426C2semidirect
2. #21438168C2semidirect
3. #21437164C2semidirect
4. #21437118C2semidirect
5. #21436851C2semidirect
6. #21436805C2semidirect
7. #21436328C2semidirect
8. #21436299C2semidirect
9. #21436239C2semidirect
10. #21436224C2semidirect
11. #21436134C2semidirect
12. #21436119C2semidirect
13. #21435708C2semidirect
14. #21435698C2semidirect
15. #21435641C2semidirect
16. #21435626C2semidirect
17. #21435581C2semidirect
18. #21435581C2semidirect
19. #21435543C2semidirect
20. #21435509C2semidirect
21. #21435497C2semidirect
22. #21435192C2semidirect
23. #21435170C2semidirect
24. #21435116C2semidirect
25. #21434340C2semidirect
26. #21434297C2semidirect
27. #21434207C2semidirect
28. #21433637C2semidirect
29. #21433600C2semidirect
30. #21433577C2semidirect
31. C59×#2995C2semidirect
32. C2×#14273755C22semidirect
33. C2×#14273755C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273749C22semidirect
37. C22×D472C22semidirect
40. #16838137C22semidirect
41. #16838125C22semidirect
42. #16838122C22semidirect
43. #16838112C22semidirect
44. #16838098C22semidirect
46. #16838092C22semidirect
50. #16838074C22semidirect
52. #16838057C22semidirect
54. #16838048C22semidirect
55. #16838048C22semidirect
56. #16838048C22semidirect
60. D4×D236C22semidirect
62. #16838023C22semidirect
63. #16838014C22semidirect
66. #16838007C22semidirect
70. #16837971C22semidirect
74. C2×#14273724C22semidirect
75. #16837936C22semidirect
76. #16837936C22semidirect
79. #16837882C22semidirect
80. #16837876C22semidirect
81. C4×#11745685C22semidirect
82. #16837796C22semidirect
84. #16837791C22semidirect
85. #16837791C22semidirect
86. #16837786C22semidirect
87. #16837775C22semidirect
88. #16837767C22semidirect
89. #16837767C22semidirect
90. #16837767C22semidirect
91. #16837762C22semidirect
92. #16837757C22semidirect
93. #16837749C22semidirect
94. #16837744C22semidirect
95. #16837727C22semidirect
96. #16837727C22semidirect
97. #16837727C22semidirect
98. #16837721C22semidirect
99. #16837716C22semidirect
100. #16837710C22semidirect
101. #16837710C22semidirect
102. #16837710C22semidirect
103. #16837703C22semidirect
104. #16837703C22semidirect
105. #16837703C22semidirect
106. #16837703C22semidirect
107. #16837703C22semidirect
108. #16837693C22semidirect
109. #16837683C22semidirect
110. #16837660C22semidirect
112. #16837655C22semidirect
113. #16837648C22semidirect
114. #16837648C22semidirect
115. #16837648C22semidirect
116. #16837648C22semidirect
117. #16837648C22semidirect
118. #16837638C22semidirect
119. #16837631C22semidirect
120. #16837631C22semidirect
121. #16837631C22semidirect
122. #16837625C22semidirect
123. #16837625C22semidirect
124. #16837625C22semidirect
125. #16837625C22semidirect
126. #16837618C22semidirect
127. #16837618C22semidirect
128. #16837618C22semidirect
129. #16837618C22semidirect
130. #16837618C22semidirect
131. #16837618C22semidirect
132. #16837618C22semidirect
133. #16837618C22semidirect
134. #16837608C22semidirect
135. #16837608C22semidirect
136. #16837603C22semidirect
137. #16837603C22semidirect
138. #16837603C22semidirect
139. #16837603C22semidirect
140. #16837603C22semidirect
141. #16837603C22semidirect
142. #16837603C22semidirect
144. #16837598C22semidirect
145. #16837598C22semidirect
146. #16837598C22semidirect
147. #16837598C22semidirect
148. #16837598C22semidirect
149. #16837598C22semidirect
150. #16837598C22semidirect
151. #16837598C22semidirect
152. #16837566C22semidirect
153. #16837566C22semidirect
154. #16837566C22semidirect
155. #16837566C22semidirect
156. #16837555C22semidirect
157. #16837555C22semidirect
158. #16837555C22semidirect
159. #16837555C22semidirect
160. #16837555C22semidirect
162. #16837549C22semidirect
163. #16837549C22semidirect
164. #16837549C22semidirect
165. #16837538C22semidirect
166. #16837538C22semidirect
167. #16837538C22semidirect
168. #16837538C22semidirect
169. #16837538C22semidirect
170. #16837515C22semidirect
171. #16837515C22semidirect
172. #16837515C22semidirect
173. #16837515C22semidirect
174. #16837510C22semidirect
175. #16837504C22semidirect
176. #16837504C22semidirect
177. #16837504C22semidirect
178. C4×#11745660C22semidirect
179. C4×D472C22semidirect
180. C4×D472C22semidirect
181. C4×D472C22semidirect
182. #16837408C22semidirect
183. #16837408C22semidirect
184. #16837408C22semidirect
185. #16837404C22semidirect
186. #16837399C22semidirect
187. C2×#14273649C22semidirect
189. C59×#446C22semidirect
190. C59×#446C22semidirect
191. C59×#436C22semidirect
192. C59×#436C22semidirect
193. C59×#435C22semidirect
194. C59×#435C22semidirect
195. C59×#435C22semidirect
196. C59×#435C22semidirect
197. C59×#433C22semidirect
198. C59×#433C22semidirect
199. C59×#432C22semidirect
200. C59×#424C22semidirect
201. C59×#424C22semidirect
202. C59×#423C22semidirect
929. #2995D59semidirect
1082. #446C2×D59semidirect
1083. #446C2×D59semidirect
1096. #436C2×D59semidirect
1097. #436C2×D59semidirect
1098. #435C2×D59semidirect
1099. #435C2×D59semidirect
1100. #435C2×D59semidirect
1101. #435C2×D59semidirect
1102. #433C2×D59semidirect
1103. #433C2×D59semidirect
1104. #432C2×D59semidirect
1105. #424C2×D59semidirect
1106. #424C2×D59semidirect
1107. #423C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214384262
#214381682
#214371642
#214371182
#214368512
#214368052
#214363282
#214362992
#214362392
#214362242
#214361342
#214361192
#214357082
#214356982
#214356412
#214356262
#214355812
#214355432
#214355092
#214354972
#214351922
#214351702
#214351162
#214343402
#214342972
#214342072
#214336372
#214336002
#214335772
C59×#29952
#6207959