Finite Group Databasebeta

← #29470687

Subgroups — #29470687

Order 15104.

1920 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437706C211yesmaximal, characteristic, complemented
2#21437652C211yesmaximal, characteristic, complemented
3#21437165C211yesmaximal, characteristic, complemented
4#21437053C211yesmaximal, characteristic, complemented
5#21436920C211yesmaximal, characteristic, complemented
6#21436852C211yesmaximal, characteristic, complemented
7#21436594C211yesmaximal, characteristic, complemented
8#21436558C211yesmaximal, characteristic, complemented
9#21436478C211yesmaximal, characteristic, complemented
10#21436256C211yesmaximal, characteristic, complemented
11#21436184C211yesmaximal, characteristic, complemented
12#21436114C211yesmaximal, characteristic, complemented
13#21436070C211yesmaximal, characteristic, complemented
14#21435949C211yesmaximal, characteristic, complemented
15#21435924C211yesmaximal, characteristic, complemented
16#21435779C211yesmaximal, characteristic, complemented
17#21435625C211yesmaximal, characteristic, complemented
18#21435582C211yesmaximal, characteristic, complemented
19#21434821C211yesmaximal, characteristic, complemented
20#21434803C211yesmaximal, characteristic, complemented
21#21434795C211yesmaximal, characteristic, complemented
22#21434248C211yesmaximal, characteristic, complemented
23#21434238C211yesmaximal, characteristic, complemented
24#21434232C211yesmaximal, characteristic, complemented
25#21434211C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433105C211yesmaximal, characteristic, complemented
28#21432901C211yesmaximal, characteristic, complemented
29#21432894C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3111C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838116C2211yescharacteristic, complemented
38#16838112C2211yescharacteristic
39#16838109C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic, complemented
41#16838098—21no—
42#16838097—21no—
43#16838096C2211yescharacteristic
44#16838096C2211yescharacteristic, complemented
45#16838090C2211yescharacteristic
46#16838088—21no—
47#16838086C2211yescharacteristic, complemented
48#16838080—21no—
49#16838077—21no—
50#16838076—21no—
51#16838076—21no—
52#16838054C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic, complemented
54#16838048—21no—
55#16838045C2211yescharacteristic
56#16838040C2211yescharacteristic
57#16838040C2211yescharacteristic, complemented
58D4×D236C2211yescharacteristic
59#16837956C2211yescharacteristic, complemented
60#16837952C2211yescharacteristic, complemented
61#16837939C2211yescharacteristic
62#16837939C2211yescharacteristic, complemented
63#16837936—21no—
64#16837934—21no—
65#16837934C2211yescharacteristic, complemented
66#16837930—21no—
67#16837911—21no—
68#16837911—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic, complemented
73C2×C4×D236—21no—
74C4×D4×D59C2211yescharacteristic
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77#117×D59—21no—
78#16837812C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837803C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic
83#16837783C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837768C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837731C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic
99#16837714C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837688C2211yescharacteristic, complemented
107#16837683C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837659C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic
112#16837649C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837640C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837636C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic
119#16837633C2211yescharacteristic, complemented
120#16837633C2211yescharacteristic, complemented
121#16837632C2211yescharacteristic
122#16837626C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic
128#16837606C2211yescharacteristic, complemented
129#16837605C2211yescharacteristic, complemented
130#16837603C2211yescharacteristic, complemented
131#16837598C2211yescharacteristic
132#16837563C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic
134#16837554C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic
136#16837551C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic
138#16837549C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic, complemented
140#16837537C2211yescharacteristic
141#16837534C2211yescharacteristic
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic, complemented
145#16837515C2211yescharacteristic, complemented
146#16837514C2211yescharacteristic
147#16837513C2211yescharacteristic, complemented
148#16837512C2211yescharacteristic
149#16837512C2211yescharacteristic
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837511C2211yescharacteristic
153#16837511C2211yescharacteristic, complemented
154#16837507C2211yescharacteristic, complemented
155#16837507C2211yescharacteristic, complemented
156#16837504C2211yescharacteristic, complemented
157#16837504C2211yescharacteristic, complemented
158#16837502C2211yescharacteristic, complemented
159#16837502C2211yescharacteristic, complemented
160#16837500C2211yescharacteristic, complemented
161#16837500C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837500C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837484C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic
168#16837472C2211yescharacteristic
169#16837472C2211yescharacteristic
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837438C2211yescharacteristic, complemented
178#106×D59C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186C2×#14273638C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C4×#41×C59C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#479C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#442C2211yescharacteristic
199C59×#441C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×D236—21no—
208C2×D4×D59C2311yescharacteristic
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273754—24no—
215#14273747—24no—
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×D472C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228D8×D59—24no—
229C2×#11745659C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235#14273727C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273725C2311yescharacteristic
238#14273724C2311yescharacteristic
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273721—21no—
243#14273721—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273718—21no—
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273717—21no—
254#14273717—21no—
255#14273716C2311yescharacteristic
256#14273716C2311yescharacteristic
257#14273715—21no—
258#14273715—21no—
259#14273714—21no—
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273710—21no—
269#14273710—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273707—21no—
278#14273707C2311yescharacteristic
279#14273707C2311yescharacteristic
280#14273706—21no—
281#14273705—21no—
282#14273705—21no—
283#14273705—21no—
284#14273705—21no—
285#14273705—21no—
286#14273704—21no—
287#14273704—21no—
288#14273704—21no—
289#14273703C2311yescharacteristic
290#14273703C2311yescharacteristic
291#14273703C2311yescharacteristic
292#14273702C2311yescharacteristic
293#14273702C2311yescharacteristic
294#14273701—21no—
295#14273701—21no—
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273698—21no—
306#14273698C2311yescharacteristic
307#14273697—21no—
308#14273697—21no—
309#14273697—21no—
310#14273695—21no—
311#14273695—21no—
312#14273695—21no—
313Q8×Dic59C2311yescharacteristic
314C4×Dic118—21no—
315C4×Dic118D411yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
319C4×D236—21no—
320C4×D236—21no—
321C4×D236—21no—
322C4×D236—21no—
323C4×D236—21no—
324C4×D236—21no—
325C4×D236—21no—
326C4×D236—21no—
327C4×D236D411yescharacteristic
328C4×D236C2311yescharacteristic
329C4×D236C2311yescharacteristic
330C4×D236C2311yescharacteristic
331C4×D236C2311yescharacteristic
332C4×D236C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336#14273689—21no—
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59D411yescharacteristic
348C4×C22⋊D59D411yescharacteristic
349C4×C22⋊D59C2311yescharacteristic
350C4×C22⋊D59C2311yescharacteristic
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354#14273686—21no—
355#14273686D411yescharacteristic
356#14273686C2311yescharacteristic
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685C2311yescharacteristic
361#14273684—21no—
362#14273684—21no—
363#14273684—21no—
364#14273684—21no—
365#14273684D411yescharacteristic
366#14273684D411yescharacteristic
367#14273683—21no—
368#14273683—21no—
369C2×C4⋊Dic59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59C2311yescharacteristic
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C2×Q16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443#126×C59—21no—
444#125×C59C2311yescharacteristic
445#124×C59C2311yescharacteristic
446#123×C59—21no—
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458#117×C59—21no—
459#117×C59—21no—
460#117×C59C2311yescharacteristic
461C2×C42×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484#41×C59—22no—
485#41×C59—41no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2×D411yescharacteristic
498C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
507C2×C22⋊D59C2×D411yescharacteristic
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59—21no—
511#11745689—22no—
512#11745689—41no—
513D4×D59—22no—
514D4×D59—22no—
515D4×D59—22no—
516D4×D59—41no—
517D4×D59—41no—
518D4×D59—41no—
519#11745685—22no—
520#11745685—41no—
521#11745685—42no—
522#11745685—82no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—44no—
529C2×D236C2×D411yescharacteristic
530C2×D236C2411yescharacteristic
531C2×D236C2411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—44no—
547C2×C4×D59—82no—
548C2×C4×D59—82no—
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118C2×D411yescharacteristic
558C2×Dic118C2411yescharacteristic
559Q16×C59—41no—
560SD16×C59—22no—
561SD16×C59—41no—
562D8×C59—22no—
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C42×C59—21no—
586C42×C59—21no—
587C42×C59—21no—
588C42×C59—21no—
589C42×C59C2×D411yescharacteristic
590C42×C59C2×D411yescharacteristic
591C42×C59C2411yescharacteristic
592C42×C59C2411yescharacteristic
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59C2×D411yescharacteristic
601C22⋊Dic59C2×D411yescharacteristic
602#11745672—22no—
603#11745671—22no—
604#11745671—22no—
605#11745671—41no—
606#11745670—22no—
607#11745669—22no—
608#11745669—41no—
609#11745669#4114yescomplemented
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—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)⋊C4C2×D411yescharacteristic
633(C2×D59)⋊C4C2×D411yescharacteristic
634(C2×D59)⋊C4C2×D411yescharacteristic
635(C2×D59)⋊C4C2×D411yescharacteristic
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59C2×D411yescharacteristic
644C4⋊Dic59C2×D411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678C2×C59⋊C8—22no—
679C2×C59⋊C8—41no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684D472—22no—
685D472—22no—
686#11745660—41no—
687#11745660—41no—
688#11745659—22no—
689#11745659—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59C22×D411yescharacteristic
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—81no—
705C22×D59—81no—
706C22×D59—81no—
707C22×D59C22×D411yescharacteristic
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—21no—
712Q8×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—42no—
717D4×C59—81no—
718D4×C59C2×#4112yes—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—41no—
728C2×C4×C59—41no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—42no—
732C2×C4×C59—42no—
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C2511yescharacteristic
739C22⋊D59—22no—
740C22⋊D59—41no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—81no—
746C22⋊D59—81no—
747C22⋊D59—81no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—42no—
754C2×Dic59—81no—
755C2×Dic59—81no—
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762D236—22no—
763D236—21no—
764D236—21no—
765D236—21no—
766D236—21no—
767D236—21no—
768D236—42no—
769D236—42no—
770D236—42no—
771D236—42no—
772D236—81no—
773D236C2×#4112yes—
774C4×D59—22no—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—21no—
778C4×D59—21no—
779C4×D59—41no—
780C4×D59—41no—
781C4×D59—41no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795Dic118—21no—
796Dic118—21no—
797Dic118—41no—
798Dic118—81no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8C2×#4112yes—
808#61454—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—22no—
812C22×C59—21no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59C23×D411yescharacteristic
819C2×D59—21no—
820C2×D59—21no—
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—22no—
824C2×D59—21no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—84no—
834C2×D59—84no—
835C2×D59—84no—
836C2×D59#57512yes—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59C22×#4111yescharacteristic
849C4×C59#58511yescharacteristic
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—21no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861#3481—591no—
862#3475—591no—
863#3401—591no—
864#3389—591no—
865#3376—591no—
866#3370—591no—
867#3347—591no—
868#3344—591no—
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310—591no—
873#3307—591no—
874#3297—591no—
875#3296—591no—
876#3280—591no—
877#3267—591no—
878#3264—591no—
879#3183—591no—
880#3181—591no—
881#3180—591no—
882#3115—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111D5911yescharacteristic, complemented
887#3110—591no—
888#2970—591no—
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442—591no—
892C2×C59—42no—
893C2×C59—41no—
894C2×C59—81no—
895C2×C59D4×#4111yescharacteristic
896C2×C59C2×#57511yescharacteristic
897C2×C59#358511yescharacteristic
898D59—22no—
899D59—41no—
900D59—42no—
901D59—81no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8—591no—
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—591no—
918#552—1181no—
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—591no—
927#546—591no—
928#546—1181no—
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—1181no—
936#529—1181no—
937#529—1181no—
938#529C2×D5911yescharacteristic, complemented
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41C2×D5911yescharacteristic, complemented
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#501—591no—
952#501—591no—
953#499—591no—
954#497—591no—
955#496—591no—
956#495—591no—
957#491—591no—
958#490—591no—
959#489—591no—
960#489—591no—
961#488—591no—
962#488—591no—
963#485—591no—
964#485C2×D5911yescharacteristic, complemented
965#484—591no—
966#484—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#482—591no—
972#482C2×D5911yescharacteristic, complemented
973#480—591no—
974#480—591no—
975#479—591no—
976#479C2×D5911yescharacteristic, complemented
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478C2×D5911yescharacteristic, complemented
983#475—591no—
984#474—591no—
985#474—591no—
986#474—591no—
987#470—591no—
988#469—591no—
989#468—591no—
990#468—591no—
991#467—591no—
992#467—591no—
993#466—591no—
994#466—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#465—591no—
999#464—591no—
1000#464C2×D5911yescharacteristic, complemented
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463C2×D5911yescharacteristic
1007#461—591no—
1008#461—591no—
1009#460—591no—
1010#459—591no—
1011#452—591no—
1012#452C2×D5911yescharacteristic, complemented
1013#450—591no—
1014#450—591no—
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#449—591no—
1020#449C2×D5911yescharacteristic
1021#447—591no—
1022#447—591no—
1023#446—591no—
1024#446—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#442—591no—
1032#442—591no—
1033#442—591no—
1034#442—591no—
1035#442C2×D5911yescharacteristic
1036#441—591no—
1037#441—591no—
1038#441C2×D5911yescharacteristic, complemented
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440C2×D5911yescharacteristic, complemented
1048#440C2×D5911yescharacteristic, complemented
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435—591no—
1057C8×D4—591no—
1058C8×D4—591no—
1059#432—591no—
1060#432—591no—
1061#432C2×D5911yescharacteristic, complemented
1062#428—591no—
1063#427—591no—
1064C2×#106—591no—
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102—591no—
1070C2×#102—591no—
1071C4×M16—591no—
1072C2×#97—591no—
1073C2×#97—591no—
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—1181no—
1079C2×#41C22×D5911yescharacteristic
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088#135—1184no—
1089C2×Q16—591no—
1090C2×Q16C22×D5911yescharacteristic
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—1184no—
1105C2×D8C22×D5911yescharacteristic
1106C2×M16—591no—
1107C2×M16—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C22×C8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127—591no—
1116#126—21no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—591no—
1127#125—591no—
1128#125—591no—
1129#125—1181no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124C22×D5911yescharacteristic
1142#123—21no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8C22×D5911yescharacteristic
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121C22×D5911yescharacteristic
1190#120—1181no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—1181no—
1202C4×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—591no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117C22×D5911yescharacteristic
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—21no—
1278C2×C42—591no—
1279C2×C42—591no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42C22×D5911yescharacteristic
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106C22×D5911yescharacteristic
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8C22×D5911yescharacteristic
1304C4⋊C8C22×D5911yescharacteristic
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103C22×D5911yescharacteristic
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
1316#103C22×D5911yescharacteristic
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97C22×D5911yescharacteristic
1350#97C22×D5911yescharacteristic
1351C4×C8—591no—
1352C4×C8—591no—
1353C24—1181no—
1354C24—1181no—
1355C24—1181no—
1356#41—22no—
1357#41—41no—
1358#41—1182no—
1359#41—1182no—
1360#41—4722no—
1361#41—2361no—
1362#41—2362no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—1181no—
1367C2×Q8—1181no—
1368C2×Q8C23×D5911yescharacteristic
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1182no—
1385C2×D4—1182no—
1386C2×D4—1182no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—2364no—
1394C2×D4—2361no—
1395C2×D4—2361no—
1396C2×D4—2361no—
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—4722no—
1426C22×C4—4722no—
1427C22×C4—2364no—
1428C22×C4D4×D5911yescharacteristic
1429C22×C4D4×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—41no—
1432Q16—1182no—
1433SD16—22no—
1434SD16—41no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—2361no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—22no—
1442D8—594no—
1443D8—1182no—
1444D8—1182no—
1445D8—1182no—
1446D8—2361no—
1447M16—1182no—
1448M16—2361no—
1449C2×C8—591no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—1182no—
1454C2×C8—1182no—
1455C2×C8—2361no—
1456C2×C8—2361no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—591no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—591no—
1554C42—591no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42D4×D5911yescharacteristic
1561C42D4×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—591no—
1567C23—591no—
1568C23—1181no—
1569C23—1181no—
1570C23—1181no—
1571C23—4721no—
1572C23—4721no—
1573C23—4721no—
1574C23—2362no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23—2362no—
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—4721no—
1588Q8—4721no—
1589Q8—2361no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—42no—
1594D4—81no—
1595D4—592no—
1596D4—1182no—
1597D4—1182no—
1598D4—1181no—
1599D4—1181no—
1600D4—1181no—
1601D4—1181no—
1602D4—1181no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—2362no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2361no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4#41×D5912yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—1182no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—4721no—
1655C2×C4—2361no—
1656C2×C4—2361no—
1657C2×C4—2361no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—592no—
1677C8—1181no—
1678C8—1181no—
1679C8—1181no—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—592no—
1690C22—1181no—
1691C22—1181no—
1692C22—1181no—
1693C22—1181no—
1694C22—1182no—
1695C22—1181no—
1696C22—4724no—
1697C22—4724no—
1698C22—4724no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—1181no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823811yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—81no—
1735C2—1182no—
1736C2—4721no—
1737C2—4721no—
1738C2—2361no—
1739C2—2362no—
1740C2#2143757911yescharacteristic
1741C2#575×D5911yescharacteristic
1742C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3111C2
socleC22×C59C23×D4
hypercenter#3111D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #21437706C2semidirect
2. #21437652C2semidirect
3. #21437165C2semidirect
4. #21437053C2semidirect
5. #21436920C2semidirect
6. #21436852C2semidirect
7. #21436594C2semidirect
8. #21436558C2semidirect
9. #21436478C2semidirect
10. #21436256C2semidirect
11. #21436184C2semidirect
12. #21436114C2semidirect
13. #21436070C2semidirect
14. #21435949C2semidirect
15. #21435924C2semidirect
16. #21435779C2semidirect
17. #21435625C2semidirect
18. #21435582C2semidirect
19. #21434821C2semidirect
20. #21434803C2semidirect
21. #21434795C2semidirect
22. #21434248C2semidirect
23. #21434238C2semidirect
24. #21434232C2semidirect
25. #21434211C2semidirect
26. #21434193C2semidirect
27. #21433105C2semidirect
28. #21432901C2semidirect
29. #21432894C2semidirect
30. #442×D59C2semidirect
31. C59×#3111C2semidirect
35. #16838137C22semidirect
36. #16838121C22semidirect
37. #16838116C22semidirect
39. #16838109C22semidirect
40. #16838108C22semidirect
44. #16838096C22semidirect
47. #16838086C22semidirect
52. #16838054C22semidirect
53. #16838049C22semidirect
57. #16838040C22semidirect
59. #16837956C22semidirect
60. #16837952C22semidirect
62. #16837939C22semidirect
65. #16837934C22semidirect
70. C4×#11745689C22semidirect
72. C4×#11745685C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
78. #16837812C22semidirect
79. #16837809C22semidirect
80. #16837803C22semidirect
81. #16837795C22semidirect
83. #16837783C22semidirect
84. #16837769C22semidirect
85. #16837768C22semidirect
86. #16837763C22semidirect
87. #16837761C22semidirect
88. #16837758C22semidirect
89. #16837755C22semidirect
90. #16837741C22semidirect
91. #16837739C22semidirect
92. #16837736C22semidirect
93. #16837734C22semidirect
94. #16837731C22semidirect
95. #16837728C22semidirect
96. #16837727C22semidirect
97. #16837727C22semidirect
99. #16837714C22semidirect
100. #16837707C22semidirect
101. #16837705C22semidirect
102. #16837704C22semidirect
103. #16837701C22semidirect
104. #16837701C22semidirect
105. #16837700C22semidirect
106. #16837688C22semidirect
107. #16837683C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837659C22semidirect
112. #16837649C22semidirect
113. #16837645C22semidirect
114. #16837642C22semidirect
115. #16837640C22semidirect
116. #16837636C22semidirect
117. #16837636C22semidirect
119. #16837633C22semidirect
120. #16837633C22semidirect
122. #16837626C22semidirect
123. #16837620C22semidirect
124. #16837620C22semidirect
125. #16837619C22semidirect
126. #16837616C22semidirect
128. #16837606C22semidirect
129. #16837605C22semidirect
130. #16837603C22semidirect
132. #16837563C22semidirect
134. #16837554C22semidirect
136. #16837551C22semidirect
138. #16837549C22semidirect
139. #16837549C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
144. #16837515C22semidirect
145. #16837515C22semidirect
147. #16837513C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
153. #16837511C22semidirect
154. #16837507C22semidirect
155. #16837507C22semidirect
156. #16837504C22semidirect
157. #16837504C22semidirect
158. #16837502C22semidirect
159. #16837502C22semidirect
160. #16837500C22semidirect
161. #16837500C22semidirect
162. #16837500C22semidirect
163. #16837500C22semidirect
164. SD16×Dic59C22semidirect
165. #16837487C22semidirect
166. #16837484C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837443C22semidirect
177. #16837438C22semidirect
178. #106×D59C22semidirect
179. #16837405C22semidirect
180. #16837402C22semidirect
181. #16837398C22semidirect
182. #16837396C22semidirect
184. #102×D59C22semidirect
185. #16837354C22semidirect
186. C2×#14273638C22semidirect
187. #97×D59C22semidirect
188. C59×#529C22semidirect
189. C4×#41×C59C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#479C22semidirect
193. C59×#478C22semidirect
194. C59×#464C22semidirect
196. C59×#452C22semidirect
199. C59×#441C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
609. #11745669#41semidirect
886. #3111D59semidirect
938. #529C2×D59semidirect
945. C4×#41C2×D59semidirect
964. #485C2×D59semidirect
972. #482C2×D59semidirect
976. #479C2×D59semidirect
982. #478C2×D59semidirect
1000. #464C2×D59semidirect
1012. #452C2×D59semidirect
1038. #441C2×D59semidirect
1047. #440C2×D59semidirect
1048. #440C2×D59semidirect
1061. #432C2×D59semidirect
1074. C59#61454semidirect

Maximal subgroups

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

subgroupindex
#214377062
#214376522
#214371652
#214370532
#214369202
#214368522
#214365942
#214365582
#214364782
#214362562
#214361842
#214361142
#214360702
#214359492
#214359242
#214357792
#214356252
#214355822
#214348212
#214348032
#214347952
#214342482
#214342382
#214342322
#214342112
#214341932
#214331052
#214329012
#214328942
#442×D592
C59×#31112
#6145459