Finite Group Databasebeta

← #29483850

Subgroups — #29483850

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#21438425C211yesmaximal, characteristic, complemented
2#21438166C211yesmaximal, characteristic, complemented
3#21437158C211yesmaximal, characteristic, complemented
4#21437117C211yesmaximal, characteristic, complemented
5#21436854C211yesmaximal, characteristic, complemented
6#21436801C211yesmaximal, characteristic, complemented
7#21436329C211yesmaximal, characteristic, complemented
8#21436300C211yesmaximal, characteristic, complemented
9#21436235C211yesmaximal, characteristic, complemented
10#21436225C211yesmaximal, characteristic, complemented
11#21436137C211yesmaximal, characteristic, complemented
12#21436115C211yesmaximal, characteristic, complemented
13#21435706C211yesmaximal, characteristic, complemented
14#21435689C211yesmaximal, characteristic, complemented
15#21435640C211yesmaximal, characteristic, complemented
16#21435614C211yesmaximal, characteristic, complemented
17#21435579C211yesmaximal, characteristic, complemented
18#21435578C211yesmaximal, characteristic, complemented
19#21435541C211yesmaximal, characteristic, complemented
20#21435501C211yesmaximal, characteristic, complemented
21#21435499C211yesmaximal, characteristic, complemented
22#21435192C211yesmaximal, characteristic, complemented
23#21435167C211yesmaximal, characteristic, complemented
24#21435118C211yesmaximal, characteristic, complemented
25#21434341C211yesmaximal, characteristic, complemented
26#21434210C211yesmaximal, characteristic, complemented
27#21433635C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#21433571C211yesmaximal, characteristic, complemented
30#21433261C211yesmaximal, characteristic, complemented
31C59×#3119C211yesmaximal, characteristic, complemented
32C2×#14273752C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic, complemented
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic, complemented
38#16838142—21no—
39#16838140—21no—
40#16838135C2211yescharacteristic, complemented
41#16838125C2211yescharacteristic, complemented
42#16838124C2211yescharacteristic, complemented
43#16838109C2211yescharacteristic, complemented
44#16838100C2211yescharacteristic, complemented
45#16838098—21no—
46#16838087C2211yescharacteristic, complemented
47#16838085—21no—
48#16838081—21no—
49#16838076—21no—
50#16838073C2211yescharacteristic, complemented
51#16838070C2211yescharacteristic
52#16838051C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic
55#16838047C2211yescharacteristic, complemented
56#16838044—21no—
57#16838040C2211yescharacteristic, complemented
58D4×D236C2211yescharacteristic
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838036C2211yescharacteristic, complemented
62#16838023C2211yescharacteristic, complemented
63#16838010C2211yescharacteristic, complemented
64#16838008C2211yescharacteristic
65#16838004—21no—
66#16837999—21no—
67#16837985—21no—
68#16837971C2211yescharacteristic, complemented
69#16837968—21no—
70#16837965C2211yescharacteristic
71#16837963—21no—
72#16837960—21no—
73#127×D59C2211yescharacteristic, complemented
74#16837939C2211yescharacteristic, complemented
75#16837937C2211yescharacteristic, complemented
76#16837932—21no—
77#16837930C2211yescharacteristic
78C2×#14273722—21no—
79#16837874C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837791C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic
84#16837788C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837762C2211yescharacteristic, complemented
91#16837755C2211yescharacteristic, complemented
92#16837749C2211yescharacteristic, complemented
93#16837745C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837706C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837692C2211yescharacteristic, complemented
104#16837682C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic
107#16837653C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837606C2211yescharacteristic, complemented
130#16837606C2211yescharacteristic, complemented
131#16837603C2211yescharacteristic, complemented
132#16837602C2211yescharacteristic, complemented
133#16837602C2211yescharacteristic, complemented
134#16837601C2211yescharacteristic, complemented
135#16837601C2211yescharacteristic, complemented
136#16837599C2211yescharacteristic, complemented
137#16837598C2211yescharacteristic, complemented
138#16837597C2211yescharacteristic, complemented
139#16837597C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837594C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic, complemented
147#16837565C2211yescharacteristic, complemented
148#16837561C2211yescharacteristic, complemented
149#16837555C2211yescharacteristic, complemented
150#16837554C2211yescharacteristic, complemented
151#16837551C2211yescharacteristic, complemented
152#16837551C2211yescharacteristic, complemented
153#16837551C2211yescharacteristic, complemented
154#16837549C2211yescharacteristic, complemented
155#16837548C2211yescharacteristic
156#16837538C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837532C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837508C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837481C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837470C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187C2×#14273647C2211yescharacteristic, complemented
188C59×#540C2211yescharacteristic, complemented
189C59×#520C2211yescharacteristic, complemented
190C59×#481C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#479C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic, complemented
195C59×#459C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×D236—21no—
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217#14273752—42no—
218#14273751—42no—
219#14273751—42no—
220#14273751—42no—
221#14273747—42no—
222C2×Dic236C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242D8×D59—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273725C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273724C2311yescharacteristic
253#14273723—21no—
254#14273723—21no—
255#14273723—21no—
256#14273723C2311yescharacteristic
257#14273723C2311yescharacteristic
258#14273723C2311yescharacteristic
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273722—21no—
265#14273722—21no—
266#14273722—21no—
267#14273722—21no—
268#14273722D411yescharacteristic
269#14273721—21no—
270#14273721—21no—
271#14273720D411yescharacteristic
272#14273719—21no—
273#14273718C2311yescharacteristic
274#14273718C2311yescharacteristic
275#14273717—21no—
276#14273717—21no—
277#14273717D411yescharacteristic
278#14273716C2311yescharacteristic
279#14273715—21no—
280#14273715C2311yescharacteristic
281#14273715C2311yescharacteristic
282#14273715C2311yescharacteristic
283#14273714C2311yescharacteristic
284#14273713—21no—
285#14273713—21no—
286#14273713D411yescharacteristic
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712D411yescharacteristic
293#14273711—21no—
294#14273711—21no—
295#14273710—21no—
296#14273710—21no—
297#14273710—21no—
298#14273710—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709D411yescharacteristic
303#14273708—21no—
304#14273707C2311yescharacteristic
305#14273707C2311yescharacteristic
306#14273706—21no—
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273705D411yescharacteristic
311#14273704—21no—
312#14273704—21no—
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273701—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701—21no—
327#14273701—21no—
328#14273701C2311yescharacteristic
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700D411yescharacteristic
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273698—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#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355C4×Dic118—21no—
356C4×Dic118C2311yescharacteristic
357C4×Dic118C2311yescharacteristic
358#14273692C2311yescharacteristic
359#14273692C2311yescharacteristic
360C4×D236—21no—
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365#14273689—21no—
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379#14273686—21no—
380#14273685—21no—
381#14273685C2311yescharacteristic
382#14273685C2311yescharacteristic
383#14273684—21no—
384#14273684—21no—
385#14273684C2311yescharacteristic
386#14273683—21no—
387C2×C4⋊Dic59—21no—
388C2×Dic59⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C2×C4×Dic59—21no—
396C42×D59C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446#127×C59C2311yescharacteristic
447#125×C59C2311yescharacteristic
448#123×C59—21no—
449#123×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463#117×C59C2311yescharacteristic
464C2×C4⋊C4×C59—21no—
465C2×C4⋊C4×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489#41×C59—22no—
490#41×C59—41no—
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527#11745687—22no—
528#11745687—41no—
529#11745687—41no—
530#11745687—41no—
531D4×D59—22no—
532D4×D59—41no—
533D4×D59—41no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—41no—
537D4×D59—41no—
538D4×D59—41no—
539D4×D59—82no—
540D4×D59—82no—
541D4×D59—82no—
542D4×D59—82no—
543#11745685—41no—
544#11745685—41no—
545#11745685—82no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—41no—
556C2×D236—41no—
557C2×D236—82no—
558C2×D236C2×D411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×D236C2411yescharacteristic
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×D59C2×D411yescharacteristic
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2411yescharacteristic
572C2×C4×D59C2411yescharacteristic
573C2×Dic118—21no—
574C2×Dic118C2×D411yescharacteristic
575C2×Dic118C2411yescharacteristic
576C2×Dic118C2411yescharacteristic
577SD16×C59—41no—
578SD16×C59—41no—
579D8×C59—22no—
580D8×C59—22no—
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C42×C59—21no—
605C42×C59—21no—
606C42×C59C2411yescharacteristic
607C42×C59C2411yescharacteristic
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59C2×D411yescharacteristic
614C22⋊Dic59C2×D411yescharacteristic
615#11745672—41no—
616#11745671—41no—
617#11745671—41no—
618#11745671—41no—
619#11745670—22no—
620#11745670—41no—
621#11745670—41no—
622#11745669—22no—
623#11745669—22no—
624#11745669—22no—
625#11745669—41no—
626#11745669—41no—
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)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691#11745664—41no—
692C2×C59⋊C8—41no—
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697Dic236—41no—
698D472—41no—
699D472—41no—
700D472—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—81no—
721C22×D59—81no—
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×D59C22×D411yescharacteristic
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—42no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59H(5,𝔽2)12yes—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—42no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59—81no—
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C2511yescharacteristic
766C22⋊D59—41no—
767C22⋊D59—41no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—42no—
787C2×Dic59—81no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796D236—21no—
797D236—21no—
798D236—21no—
799D236—21no—
800D236—21no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—41no—
805D236—42no—
806D236—81no—
807D236—81no—
808D236—81no—
809D236—81no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236—81no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—41no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—21no—
830Dic118—41no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62079—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—22no—
844C22×C59—21no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59C23×D411yescharacteristic
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
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—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59C2×H(5,𝔽2)11yescharacteristic
888C4×C59#58511yescharacteristic
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
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#3119D5911yescharacteristic, complemented
925#3111—591no—
926#3045—591no—
927#3041—591no—
928#3038—591no—
929#2995—591no—
930C2×C59—41no—
931C2×C59—42no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59#348811yescharacteristic
935C2×C59#358511yescharacteristic
936C2×C59#358511yescharacteristic
937D59—41no—
938D59—41no—
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—1181no—
977#540C2×D5911yescharacteristic, complemented
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—591no—
989#529—1181no—
990C2×#126—1181no—
991#520C2×D5911yescharacteristic, complemented
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#481C2×D5911yescharacteristic, complemented
1011#480C2×D5911yescharacteristic, complemented
1012#479—591no—
1013#479—591no—
1014#479C2×D5911yescharacteristic, complemented
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478C2×D5911yescharacteristic, complemented
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#460C2×D5911yescharacteristic, complemented
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#459C2×D5911yescharacteristic, complemented
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#449C2×D5911yescharacteristic, complemented
1076#449C2×D5911yescharacteristic, complemented
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442C2×D5911yescharacteristic, complemented
1088#441—591no—
1089#440—591no—
1090#440—591no—
1091#440C2×D5911yescharacteristic, complemented
1092C4×SD16C2×D5911yescharacteristic, complemented
1093C4×D8—591no—
1094C4×D8—591no—
1095C4×D8C2×D5911yescharacteristic, complemented
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#433—591no—
1103#433C2×D5911yescharacteristic, complemented
1104#432—591no—
1105#424—591no—
1106#424—591no—
1107#423—591no—
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—1181no—
1119C2×#41C22×D5911yescharacteristic
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×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
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—2362no—
1158C2×D8C22×D5911yescharacteristic
1159C2×D8C22×D5911yescharacteristic
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16—591no—
1164C22×C8—591no—
1165C22×C8—591no—
1166C4⋊Q8—591no—
1167C4⋊Q8—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127C22×D5911yescharacteristic
1177#126—591no—
1178#126—591no—
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#126—1181no—
1189#126—1181no—
1190#125—591no—
1191#125—591no—
1192#125—591no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125C22×D5911yescharacteristic
1197#124—591no—
1198#124—591no—
1199#124—591no—
1200#124—591no—
1201#124—591no—
1202#124—591no—
1203#124—1181no—
1204#124—1181no—
1205#124—1181no—
1206#123—21no—
1207#123—21no—
1208#123—591no—
1209#123—591no—
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#123—1181no—
1224#123—1181no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236#121—21no—
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
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#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
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—1181no—
1285C4×Q8C22×D5911yescharacteristic
1286C4×Q8C22×D5911yescharacteristic
1287C4×D4—21no—
1288C4×D4—21no—
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—591no—
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×D4C22×D5911yescharacteristic
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312#117—21no—
1313#117—591no—
1314#117—591no—
1315#117—591no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1333C2×C42—1181no—
1334#107—591no—
1335#107—591no—
1336#107C22×D5911yescharacteristic
1337#107C22×D5911yescharacteristic
1338#106—591no—
1339#106—591no—
1340#106C22×D5911yescharacteristic
1341#106C22×D5911yescharacteristic
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
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#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8C22×D5911yescharacteristic
1389C22⋊C8C22×D5911yescharacteristic
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97C22×D5911yescharacteristic
1394C4×C8—591no—
1395C4×C8C22×D5911yescharacteristic
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—22no—
1402#41—41no—
1403#41—1182no—
1404#41—4722no—
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×Q8C23×D5911yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
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—1182no—
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×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489Q16—2361no—
1490Q16—2361no—
1491SD16—41no—
1492SD16—41no—
1493SD16—1182no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—22no—
1504D8—22no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513M16—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—591no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—2361no—
1522C2×C8—2361no—
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
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⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4D4×D5911yescharacteristic
1558C4⋊C4D4×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C4⋊C4C23×D5911yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
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⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4D4×D5911yescharacteristic
1607C22⋊C4D4×D5911yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—591no—
1625C23—591no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—4721no—
1653Q8—2361no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—42no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
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—2361no—
1691D4—2362no—
1692D4—2361no—
1693D4—2361no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4#1427377312yes—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—42no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—591no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—2361no—
1735C2×C4—2361no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—22no—
1754C22—21no—
1755C22—21no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—1181no—
1765C22—1181no—
1766C22—1181no—
1767C22—1181no—
1768C22—1181no—
1769C22—1181no—
1770C22—9442no—
1771C22—9442no—
1772C22—9442no—
1773C22—9442no—
1774C22—9442no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4C2×#1427377311yescharacteristic
1809C4#1683823811yescharacteristic
1810C2—41no—
1811C2—42no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—4721no—
1818C2—2361no—
1819C2—2361no—
1820C2#2143775711yescharacteristic
1821C2#2143887111yescharacteristic
1822C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3119C2
socleC22×C59C23×D4
hypercenter#3119D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #21438425C2semidirect
2. #21438166C2semidirect
3. #21437158C2semidirect
4. #21437117C2semidirect
5. #21436854C2semidirect
6. #21436801C2semidirect
7. #21436329C2semidirect
8. #21436300C2semidirect
9. #21436235C2semidirect
10. #21436225C2semidirect
11. #21436137C2semidirect
12. #21436115C2semidirect
13. #21435706C2semidirect
14. #21435689C2semidirect
15. #21435640C2semidirect
16. #21435614C2semidirect
17. #21435579C2semidirect
18. #21435578C2semidirect
19. #21435541C2semidirect
20. #21435501C2semidirect
21. #21435499C2semidirect
22. #21435192C2semidirect
23. #21435167C2semidirect
24. #21435118C2semidirect
25. #21434341C2semidirect
26. #21434210C2semidirect
27. #21433635C2semidirect
28. #21433594C2semidirect
29. #21433571C2semidirect
30. #21433261C2semidirect
31. C59×#3119C2semidirect
32. C2×#14273752C22semidirect
33. C2×#14273751C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273747C22semidirect
37. C2×D8×D59C22semidirect
40. #16838135C22semidirect
41. #16838125C22semidirect
42. #16838124C22semidirect
43. #16838109C22semidirect
44. #16838100C22semidirect
46. #16838087C22semidirect
50. #16838073C22semidirect
52. #16838051C22semidirect
53. #16838049C22semidirect
55. #16838047C22semidirect
57. #16838040C22semidirect
61. #16838036C22semidirect
62. #16838023C22semidirect
63. #16838010C22semidirect
68. #16837971C22semidirect
73. #127×D59C22semidirect
74. #16837939C22semidirect
75. #16837937C22semidirect
79. #16837874C22semidirect
80. C4×#11745687C22semidirect
81. #16837793C22semidirect
82. #16837791C22semidirect
84. #16837788C22semidirect
85. #16837786C22semidirect
86. #16837773C22semidirect
87. #16837765C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837762C22semidirect
91. #16837755C22semidirect
92. #16837749C22semidirect
93. #16837745C22semidirect
94. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837728C22semidirect
97. #16837712C22semidirect
98. #16837706C22semidirect
99. #16837705C22semidirect
100. #16837705C22semidirect
101. #16837701C22semidirect
102. #16837699C22semidirect
103. #16837692C22semidirect
104. #16837682C22semidirect
105. #16837659C22semidirect
107. #16837653C22semidirect
108. #16837651C22semidirect
109. #16837651C22semidirect
110. #16837649C22semidirect
111. #16837649C22semidirect
112. #16837646C22semidirect
113. #16837636C22semidirect
114. #16837634C22semidirect
115. #16837632C22semidirect
116. #16837629C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837624C22semidirect
120. #16837624C22semidirect
121. #16837620C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837617C22semidirect
125. #16837617C22semidirect
126. #16837617C22semidirect
127. #16837616C22semidirect
128. #16837615C22semidirect
129. #16837606C22semidirect
130. #16837606C22semidirect
131. #16837603C22semidirect
132. #16837602C22semidirect
133. #16837602C22semidirect
134. #16837601C22semidirect
135. #16837601C22semidirect
136. #16837599C22semidirect
137. #16837598C22semidirect
138. #16837597C22semidirect
139. #16837597C22semidirect
140. #16837596C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837594C22semidirect
145. #16837566C22semidirect
146. #16837565C22semidirect
147. #16837565C22semidirect
148. #16837561C22semidirect
149. #16837555C22semidirect
150. #16837554C22semidirect
151. #16837551C22semidirect
152. #16837551C22semidirect
153. #16837551C22semidirect
154. #16837549C22semidirect
156. #16837538C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837537C22semidirect
161. #16837532C22semidirect
162. #16837530C22semidirect
163. #16837513C22semidirect
164. #16837511C22semidirect
165. #16837511C22semidirect
166. #16837508C22semidirect
167. #16837501C22semidirect
168. #16837499C22semidirect
169. #16837484C22semidirect
170. #16837482C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837405C22semidirect
183. #16837405C22semidirect
184. #16837405C22semidirect
185. #16837401C22semidirect
186. #16837395C22semidirect
187. C2×#14273647C22semidirect
188. C59×#540C22semidirect
189. C59×#520C22semidirect
190. C59×#481C22semidirect
191. C59×#480C22semidirect
192. C59×#479C22semidirect
193. C59×#478C22semidirect
194. C59×#460C22semidirect
195. C59×#459C22semidirect
196. C59×#449C22semidirect
197. C59×#449C22semidirect
198. C59×#442C22semidirect
199. C59×#440C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
924. #3119D59semidirect
977. #540C2×D59semidirect
991. #520C2×D59semidirect
1010. #481C2×D59semidirect
1011. #480C2×D59semidirect
1014. #479C2×D59semidirect
1019. #478C2×D59semidirect
1054. #460C2×D59semidirect
1063. #459C2×D59semidirect
1075. #449C2×D59semidirect
1076. #449C2×D59semidirect
1087. #442C2×D59semidirect
1091. #440C2×D59semidirect
1092. C4×SD16C2×D59semidirect
1095. C4×D8C2×D59semidirect
1103. #433C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214384252
#214381662
#214371582
#214371172
#214368542
#214368012
#214363292
#214363002
#214362352
#214362252
#214361372
#214361152
#214357062
#214356892
#214356402
#214356142
#214355792
#214355782
#214355412
#214355012
#214354992
#214351922
#214351672
#214351182
#214343412
#214342102
#214336352
#214335942
#214335712
#214332612
C59×#31192
#6207959