Finite Group Databasebeta

← #29470447

Subgroups — #29470447

Order 15104.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437707C211yesmaximal, characteristic, complemented
2#21437701C211yesmaximal, characteristic, complemented
3#21437183C211yesmaximal, characteristic, complemented
4#21437049C211yesmaximal, characteristic, complemented
5#21436850C211yesmaximal, characteristic, complemented
6#21436848C211yesmaximal, characteristic, complemented
7#21436702C211yesmaximal, characteristic, complemented
8#21436585C211yesmaximal, characteristic, complemented
9#21436575C211yesmaximal, characteristic, complemented
10#21436303C211yesmaximal, characteristic, complemented
11#21436298C211yesmaximal, characteristic, complemented
12#21436239C211yesmaximal, characteristic, complemented
13#21436233C211yesmaximal, characteristic, complemented
14#21436183C211yesmaximal, characteristic, complemented
15#21435700C211yesmaximal, characteristic, complemented
16#21435580C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, characteristic, complemented
18#21434694C211yesmaximal, characteristic, complemented
19#21434684C211yesmaximal, characteristic, complemented
20#21434667C211yesmaximal, characteristic, complemented
21#21434146C211yesmaximal, characteristic, complemented
22#21434144C211yesmaximal, characteristic, complemented
23#21434115C211yesmaximal, characteristic, complemented
24#21434113C211yesmaximal, characteristic, complemented
25#21434098C211yesmaximal, characteristic, complemented
26#21434093C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432909C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30C2×#16837482C211yesmaximal, characteristic, complemented
31C59×#3314C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838134C2211yescharacteristic, complemented
37#16838113C2211yescharacteristic, complemented
38#16838111C2211yescharacteristic, complemented
39#16838110C2211yescharacteristic, complemented
40#16838105—21no—
41#16838100C2211yescharacteristic
42#16838100C2211yescharacteristic, complemented
43#16838099C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic
45#16838095—21no—
46#16838079—21no—
47#16838079—21no—
48#16838078—21no—
49#16838075—21no—
50#16838047—21no—
51#16838043C2211yescharacteristic
52#16838043C2211yescharacteristic, complemented
53#16838040C2211yescharacteristic, complemented
54#16838039—21no—
55D4×D236C2211yescharacteristic, complemented
56D4×C22⋊D59C2211yescharacteristic, complemented
57#16837953C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic, complemented
59#16837938C2211yescharacteristic, complemented
60#16837938C2211yescharacteristic, complemented
61#16837938C2211yescharacteristic, complemented
62#16837937—21no—
63#16837931C2211yescharacteristic, complemented
64#16837929—21no—
65#16837915—21no—
66#16837915—21no—
67#16837912—21no—
68#16837908—21no—
69#41×Dic59C2211yescharacteristic, complemented
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic
72C2×D4×Dic59C2211yescharacteristic, complemented
73C2×#14273689C2211yescharacteristic, complemented
74C2×#14273689C2211yescharacteristic, complemented
75C2×(C22⋊D59)⋊C4—21no—
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837803C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837787C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837735C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837709C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837704C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837679C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837651C2211yescharacteristic, complemented
115#16837651C2211yescharacteristic, complemented
116#16837650C2211yescharacteristic, complemented
117#16837638C2211yescharacteristic
118#16837633C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837598C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic
129#16837596C2211yescharacteristic
130#16837596C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837552C2211yescharacteristic, complemented
133#16837547C2211yescharacteristic
134#16837546C2211yescharacteristic
135#16837538C2211yescharacteristic
136#16837538C2211yescharacteristic, complemented
137#16837537C2211yescharacteristic, complemented
138#16837537C2211yescharacteristic, complemented
139#16837536C2211yescharacteristic
140#16837535C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic
145#16837511C2211yescharacteristic
146#16837511C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic, complemented
148#16837505C2211yescharacteristic, complemented
149#16837500C2211yescharacteristic, complemented
150Q16×Dic59C2211yescharacteristic, complemented
151SD16×Dic59C2211yescharacteristic, complemented
152SD16×Dic59C2211yescharacteristic, complemented
153#16837487C2211yescharacteristic, complemented
154#16837487C2211yescharacteristic, complemented
155#16837487C2211yescharacteristic, complemented
156#16837487C2211yescharacteristic, complemented
157#16837484C2211yescharacteristic, complemented
158#16837484C2211yescharacteristic, complemented
159#16837484C2211yescharacteristic, complemented
160#16837482C2211yescharacteristic
161#16837482C2211yescharacteristic
162#16837482C2211yescharacteristic, complemented
163#16837482C2211yescharacteristic, complemented
164#16837482C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837443C2211yescharacteristic, complemented
179#16837442C2211yescharacteristic, complemented
180C2×#14273660C2211yescharacteristic, complemented
181#16837408C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837402C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687D411yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C23×Dic59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215C22×C4×D59—21no—
216#14273754—24no—
217#14273752—24no—
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×D472C2311yescharacteristic
223C2×D472C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×#11745669—24no—
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745664C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C22×C59⋊C8C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273724C2311yescharacteristic
238#14273723C2311yescharacteristic
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273720—21no—
246#14273720—21no—
247#14273719C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273717—21no—
252#14273716—21no—
253#14273716C2311yescharacteristic
254#14273716C2311yescharacteristic
255#14273716C2311yescharacteristic
256#14273715—21no—
257#14273713—21no—
258#14273713—21no—
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712—21no—
265#14273711—21no—
266#14273711—21no—
267#14273711—21no—
268#14273711—21no—
269#14273710—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273708—21no—
274#14273707—21no—
275#14273707—21no—
276#14273706—21no—
277#14273704—21no—
278#14273704—21no—
279#14273704—21no—
280#14273703—21no—
281#14273703—21no—
282#14273703C2311yescharacteristic
283#14273702—21no—
284#14273702—21no—
285#14273702—21no—
286#14273702—21no—
287#14273702C2311yescharacteristic
288#14273702C2311yescharacteristic
289#14273701—21no—
290#14273701—21no—
291#14273701C2311yescharacteristic
292#14273701C2311yescharacteristic
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273699—21no—
296#14273699—21no—
297#14273699—21no—
298#14273699—21no—
299#14273698—21no—
300#14273698C2311yescharacteristic
301#14273697—21no—
302#14273697—21no—
303#14273697—21no—
304#14273697—21no—
305#14273696—21no—
306#14273695—21no—
307#14273695—21no—
308Q8×Dic59C2311yescharacteristic
309Q8×Dic59C2311yescharacteristic
310Q8×Dic59C2311yescharacteristic
311C4×Dic118C2311yescharacteristic
312#14273692D411yescharacteristic
313C4×D236—21no—
314C4×D236—21no—
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59D411yescharacteristic
322D4×Dic59C2311yescharacteristic
323D4×Dic59C2311yescharacteristic
324D4×Dic59C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327#14273689—21no—
328#14273689—21no—
329#14273689—21no—
330#14273689—21no—
331#14273689—21no—
332#14273689—21no—
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59C2311yescharacteristic
345C4×C22⋊D59C2311yescharacteristic
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4D411yescharacteristic
357(C22⋊D59)⋊C4D411yescharacteristic
358#14273686—21no—
359#14273686C2311yescharacteristic
360#14273685—21no—
361#14273685—21no—
362#14273685—21no—
363#14273685—21no—
364#14273685D411yescharacteristic
365#14273685C2311yescharacteristic
366#14273683—21no—
367#14273683D411yescharacteristic
368#14273683D411yescharacteristic
369C2×C4⋊Dic59C2311yescharacteristic
370C2×Dic59⋊C4—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59C2311yescharacteristic
373C2×C22⋊Dic59—21no—
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C2×Q16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#125×C59—21no—
447#124×C59C2311yescharacteristic
448#123×C59—21no—
449C22⋊Q8×C59—21no—
450C22⋊Q8×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#120×C59—21no—
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487C2×Q8×C59—21no—
488C2×Q8×C59C2411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—41no—
495C2×D4×C59C2×D411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—44no—
513C2×C22⋊D59C2×D411yescharacteristic
514C2×C22⋊D59C2×D411yescharacteristic
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—82no—
522C22×Dic59C2×D411yescharacteristic
523C22×Dic59C2×D411yescharacteristic
524C22×Dic59C2×D411yescharacteristic
525C22×Dic59C2×D411yescharacteristic
526#11745689—22no—
527#11745689—41no—
528#11745689—82no—
529#11745687—42no—
530#11745687—82no—
531D4×D59—22no—
532D4×D59—41no—
533D4×D59—44no—
534C2×D236—22no—
535C2×D236—22no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—41no—
544C2×D236—41no—
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—82no—
562C2×C4×D59—82no—
563C2×C4×D59—82no—
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×Dic118—21no—
568C2×Dic118C2×D411yescharacteristic
569Q16×C59—41no—
570SD16×C59—22no—
571SD16×C59—41no—
572M16×C59—41no—
573C2×C8×C59—41no—
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59C2×D411yescharacteristic
598C22⋊C4×C59C2×D411yescharacteristic
599C42×C59—21no—
600C42×C59C2411yescharacteristic
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59C2×D411yescharacteristic
609C22⋊Dic59C2×D411yescharacteristic
610#11745671—22no—
611#11745671—22no—
612#11745671—22no—
613#11745671—41no—
614#11745669—22no—
615#11745669—22no—
616#11745669—22no—
617#11745669—22no—
618#11745669—41no—
619#11745669#4114yescomplemented
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)⋊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)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59C2×D411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683C4×Dic59C2411yescharacteristic
684#11745664—22no—
685C2×C59⋊C8—22no—
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690D472—22no—
691D472—41no—
692D472—41no—
693#11745659—22no—
694#11745659—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—42no—
698C23×C59—42no—
699C23×C59—81no—
700C23×C59C22×D411yescharacteristic
701C23×C59C22×D411yescharacteristic
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—42no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—42no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59C22×D411yescharacteristic
716Q8×C59—21no—
717Q8×C59—21no—
718Q8×C59—21no—
719Q8×C59—21no—
720Q8×C59—81no—
721D4×C59—22no—
722D4×C59—21no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—42no—
726D4×C59—42no—
727D4×C59—81no—
728D4×C59C2×#4112yes—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—42no—
740C2×C4×C59—81no—
741C2×C4×C59—81no—
742C2×C4×C59—81no—
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C2511yescharacteristic
748C22⋊D59—22no—
749C22⋊D59—41no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C2×Dic59—22no—
759C2×Dic59—22no—
760C2×Dic59—22no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—41no—
766C2×Dic59—42no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59—81no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—42no—
787D236—42no—
788D236—42no—
789D236—42no—
790D236—81no—
791D236—81no—
792D236—81no—
793D236C2×#4112yes—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—22no—
797C4×D59—41no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810Dic118—41no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8C2×#4112yes—
820#61444—591nomaximal, Sylow
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—22no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—84no—
833C22×C59#57512yes—
834C22×C59C23×D411yescharacteristic
835C2×D59—21no—
836C2×D59—22no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—84no—
851C2×D59—84no—
852C2×D59—84no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59C22×#4111yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59#57612yes—
876#3481—591no—
877#3481—591no—
878#3403—591no—
879#3389—591no—
880#3370—591no—
881#3370—591no—
882#3355—591no—
883#3346—591no—
884#3346—591no—
885#3322—591no—
886#3322—591no—
887#3318—591no—
888#3318—591no—
889#3314—591no—
890#3314D5911yescharacteristic, complemented
891#3273—591no—
892#3264—591no—
893#3264—591no—
894#3171—591no—
895#3171—591no—
896#3168—591no—
897#3105—591no—
898#3105—591no—
899#3102—591no—
900#3102—591no—
901#3100—591no—
902#3100—591no—
903#2965—591no—
904C4×AGL(1,ℤ/8)—591no—
905C4×AGL(1,ℤ/8)—591no—
906C2×C4×D8—591no—
907C2×C59—22no—
908C2×C59—41no—
909C2×C59—42no—
910C2×C59—81no—
911C2×C59D4×#4111yescharacteristic
912C2×C59C2×#57511yescharacteristic
913C2×C59C2×#57611yescharacteristic
914D59—41no—
915D59—42no—
916D59—81no—
917D59—81no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C22×D8—591no—
922#559—591no—
923#559—591no—
924#554—591no—
925#554—591no—
926#554—591no—
927#554C2×D5911yescharacteristic, complemented
928#553—591no—
929#553—591no—
930#553—591no—
931#553—591no—
932#553—1181no—
933#553—1181no—
934#551—1181no—
935#551—1181no—
936#551—1181no—
937#551—1181no—
938#546—591no—
939#546—591no—
940#546—591no—
941#546—1181no—
942#546—1181no—
943#546C2×D5911yescharacteristic
944D42—591no—
945D42—591no—
946#532—591no—
947#532—591no—
948#529—591no—
949#529—591no—
950#529—591no—
951#529—591no—
952#529—1181no—
953#529—1181no—
954#525—1181no—
955#525—1181no—
956#525—1181no—
957#525—1181no—
958C4×#41—591no—
959C4×#41—591no—
960C4×#41—591no—
961C2×C4×D4—591no—
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—591no—
965C2×C4×D4—1181no—
966C2×C4×D4—1181no—
967#501—591no—
968#501—591no—
969#499—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#490—591no—
974#490—591no—
975#489—591no—
976#489C2×D5911yescharacteristic, complemented
977#488—591no—
978#488—591no—
979#485—591no—
980#485—591no—
981#484—591no—
982#484C2×D5911yescharacteristic, complemented
983#482—591no—
984#482—591no—
985#481—591no—
986#481—591no—
987#480—591no—
988#480—591no—
989#480—591no—
990#480C2×D5911yescharacteristic, complemented
991#479—591no—
992#479—591no—
993#478—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#474—591no—
1000#474—591no—
1001#474—591no—
1002#474C2×D5911yescharacteristic, complemented
1003#469—591no—
1004#469—591no—
1005#469—591no—
1006#469—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468C2×D5911yescharacteristic, complemented
1011#467C2×D5911yescharacteristic, complemented
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#464—591no—
1016#464C2×D5911yescharacteristic, complemented
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459—591no—
1027#452—591no—
1028#452C2×D5911yescharacteristic, complemented
1029#450—591no—
1030#450C2×D5911yescharacteristic, complemented
1031#449—591no—
1032#449—591no—
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447—591no—
1038#447—591no—
1039#446—591no—
1040#446—591no—
1041#442—591no—
1042#442—591no—
1043#442—591no—
1044#442—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440C2×D5911yescharacteristic, complemented
1049C4×Q16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×SD16—591no—
1055C4×SD16—591no—
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062C4×D8—591no—
1063C4×D8—591no—
1064C4×D8—591no—
1065C4×D8—591no—
1066C4×D8—591no—
1067C4×D8—591no—
1068C4×D8—591no—
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435C2×D5911yescharacteristic, complemented
1075#431—591no—
1076#431—591no—
1077#431—591no—
1078#428—591no—
1079#428—591no—
1080C2×#107—591no—
1081#418—591no—
1082#418—591no—
1083#417—591no—
1084#417C2×D5911yescharacteristic, complemented
1085C2×#102—591no—
1086C2×#102C2×D5911yescharacteristic, complemented
1087C4×M16—591no—
1088C4×M16—591no—
1089C2×C4×C8—591no—
1090C59#6144411yescharacteristic, complemented, Sylow
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C2×#41—1181no—
1095C2×#41C22×D5911yescharacteristic
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102C23×C4—1181no—
1103C23×C4—1181no—
1104C23×C4—1181no—
1105C23×C4—1181no—
1106AGL(1,ℤ/8)—1184no—
1107AGL(1,ℤ/8)—1184no—
1108C2×Q16C22×D5911yescharacteristic
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16C22×D5911yescharacteristic
1114C2×SD16C22×D5911yescharacteristic
1115C2×D8—591no—
1116C2×D8—591no—
1117C2×D8—591no—
1118C2×D8—591no—
1119C2×D8—591no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—591no—
1123C2×D8—591no—
1124C2×D8—1184no—
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16—591no—
1128C2×M16C22×D5911yescharacteristic
1129C22×C8—591no—
1130C22×C8C22×D5911yescharacteristic
1131C4⋊Q8—591no—
1132C4⋊Q8C22×D5911yescharacteristic
1133#127—591no—
1134#127—591no—
1135#126—1181no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#125—21no—
1144#125—591no—
1145#125—591no—
1146#125—591no—
1147#125—591no—
1148#125—1181no—
1149#124—591no—
1150#124—591no—
1151#124—591no—
1152#124—1181no—
1153#124—1181no—
1154#124—1181no—
1155#124—1181no—
1156#124C22×D5911yescharacteristic
1157#123—21no—
1158#123—1181no—
1159#123—1181no—
1160#123—1181no—
1161#123—1181no—
1162#123—1181no—
1163#123—1181no—
1164#123—1181no—
1165#123—1181no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—591no—
1176C22⋊Q8—1181no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8C22×D5911yescharacteristic
1185C22⋊Q8C22×D5911yescharacteristic
1186C22⋊Q8C22×D5911yescharacteristic
1187#121—21no—
1188#121—591no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—591no—
1194#121—591no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121—1181no—
1199#121—1181no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121—1181no—
1204#121—1181no—
1205#121—1181no—
1206#121C22×D5911yescharacteristic
1207#120—21no—
1208#120—1181no—
1209#120—1181no—
1210#120—1181no—
1211#120—1181no—
1212#120—1181no—
1213#120—1181no—
1214#120—1181no—
1215C4×Q8—591no—
1216C4×Q8—591no—
1217C4×Q8—591no—
1218C4×Q8—591no—
1219C4×Q8—591no—
1220C4×Q8C22×D5911yescharacteristic
1221C4×D4—21no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
1240C4×D4—591no—
1241C4×D4—591no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—591no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—1181no—
1283C2×C4⋊C4—1181no—
1284C2×C4⋊C4C22×D5911yescharacteristic
1285C2×C4⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42—1181no—
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107C22×D5911yescharacteristic
1307#107C22×D5911yescharacteristic
1308#107C22×D5911yescharacteristic
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106—591no—
1313#106—591no—
1314#106—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8C22×D5911yescharacteristic
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103C22×D5911yescharacteristic
1326#103C22×D5911yescharacteristic
1327#103C22×D5911yescharacteristic
1328#103C22×D5911yescharacteristic
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102C22×D5911yescharacteristic
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8C22×D5911yescharacteristic
1358C22⋊C8C22×D5911yescharacteristic
1359#97—591no—
1360#97—591no—
1361#97—591no—
1362#97C22×D5911yescharacteristic
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8—591no—
1368C4×C8—591no—
1369C24—21no—
1370C24—1181no—
1371C24—1181no—
1372C24—1181no—
1373#41—22no—
1374#41—41no—
1375#41—1182no—
1376#41—4722no—
1377#41—4722no—
1378#41—2362no—
1379#41—2361no—
1380C2×Q8—21no—
1381C2×Q8—591no—
1382C2×Q8—1181no—
1383C2×Q8C23×D5911yescharacteristic
1384C2×Q8C23×D5911yescharacteristic
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—41no—
1390C2×D4—591no—
1391C2×D4—591no—
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—591no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1182no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2364no—
1418C2×D4—2364no—
1419C2×D4D4×D5911yescharacteristic
1420C2×D4C23×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—4722no—
1452C22×C4—4722no—
1453C22×C4—4722no—
1454C22×C4—4722no—
1455C22×C4C23×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—41no—
1458SD16—22no—
1459SD16—41no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—1182no—
1463SD16—2361no—
1464D8—594no—
1465D8—1182no—
1466D8—1182no—
1467D8—1182no—
1468D8—1182no—
1469D8—1182no—
1470D8—2361no—
1471D8—2361no—
1472D8—2361no—
1473M16—41no—
1474M16—1182no—
1475M16—1182no—
1476M16—2361no—
1477C2×C8—41no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—1182no—
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4D4×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C4⋊C4C23×D5911yescharacteristic
1521C4⋊C4C23×D5911yescharacteristic
1522C4⋊C4C23×D5911yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—591no—
1531C22⋊C4—591no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
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—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4D4×D5911yescharacteristic
1566C22⋊C4D4×D5911yescharacteristic
1567C42—21no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—591no—
1574C42—591no—
1575C42—591no—
1576C42—591no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—42no—
1586C23—42no—
1587C23—81no—
1588C23—591no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—1181no—
1593C23—4721no—
1594C23—4721no—
1595C23—4721no—
1596C23—2362no—
1597C23—2362no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23C2×D4×D5911yescharacteristic
1603C23C2×D4×D5911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—21no—
1608Q8—81no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—22no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—42no—
1617D4—81no—
1618D4—592no—
1619D4—1182no—
1620D4—1181no—
1621D4—1181no—
1622D4—1181no—
1623D4—1181no—
1624D4—1181no—
1625D4—1181no—
1626D4—1181no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—4721no—
1632D4—2362no—
1633D4—2362no—
1634D4—2362no—
1635D4—2362no—
1636D4—2361no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4#41×D5912yes—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—42no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—591no—
1659C2×C4—591no—
1660C2×C4—591no—
1661C2×C4—591no—
1662C2×C4—591no—
1663C2×C4—591no—
1664C2×C4—591no—
1665C2×C4—1182no—
1666C2×C4—1182no—
1667C2×C4—1182no—
1668C2×C4—1182no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—2361no—
1685C2×C4—2362no—
1686C2×C4—2362no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2361no—
1694C2×C4—2362no—
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C24×D5911yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—592no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—84no—
1720C22—1181no—
1721C22—1181no—
1722C22—1181no—
1723C22—1182no—
1724C22—4724no—
1725C22—4724no—
1726C22—4724no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22#1683820112yes—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—592no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—1181no—
1756C4—1181no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4C2×#41×D5911yescharacteristic
1762C4#1683823711yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—4721no—
1768C2—4721no—
1769C2—4721no—
1770C2—2361no—
1771C2—2362no—
1772C2#2143758011yescharacteristic
1773C2C2×#1683820111yescharacteristic
1774C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3314C2
socleC22×C59C23×D4
hypercenter#3314D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #21437707C2semidirect
2. #21437701C2semidirect
3. #21437183C2semidirect
4. #21437049C2semidirect
5. #21436850C2semidirect
6. #21436848C2semidirect
7. #21436702C2semidirect
8. #21436585C2semidirect
9. #21436575C2semidirect
10. #21436303C2semidirect
11. #21436298C2semidirect
12. #21436239C2semidirect
13. #21436233C2semidirect
14. #21436183C2semidirect
15. #21435700C2semidirect
16. #21435580C2semidirect
17. #21435577C2semidirect
18. #21434694C2semidirect
19. #21434684C2semidirect
20. #21434667C2semidirect
21. #21434146C2semidirect
22. #21434144C2semidirect
23. #21434115C2semidirect
24. #21434113C2semidirect
25. #21434098C2semidirect
26. #21434093C2semidirect
27. #21433056C2semidirect
28. #21432909C2semidirect
29. #21432901C2semidirect
30. C2×#16837482C2semidirect
31. C59×#3314C2semidirect
35. #16838137C22semidirect
36. #16838134C22semidirect
37. #16838113C22semidirect
38. #16838111C22semidirect
39. #16838110C22semidirect
42. #16838100C22semidirect
43. #16838099C22semidirect
52. #16838043C22semidirect
53. #16838040C22semidirect
55. D4×D236C22semidirect
56. D4×C22⋊D59C22semidirect
57. #16837953C22semidirect
58. #16837947C22semidirect
59. #16837938C22semidirect
60. #16837938C22semidirect
61. #16837938C22semidirect
63. #16837931C22semidirect
69. #41×Dic59C22semidirect
70. C4×#11745689C22semidirect
72. C2×D4×Dic59C22semidirect
73. C2×#14273689C22semidirect
74. C2×#14273689C22semidirect
77. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837808C22semidirect
80. #16837803C22semidirect
81. #16837792C22semidirect
82. #16837788C22semidirect
83. #16837787C22semidirect
84. #16837767C22semidirect
85. #16837765C22semidirect
86. #16837763C22semidirect
87. #16837758C22semidirect
88. #16837758C22semidirect
89. #16837741C22semidirect
90. #16837740C22semidirect
91. #16837735C22semidirect
92. #16837727C22semidirect
93. #16837724C22semidirect
94. #16837721C22semidirect
95. #16837720C22semidirect
96. #16837717C22semidirect
97. #16837717C22semidirect
98. #16837715C22semidirect
99. #16837709C22semidirect
100. #16837707C22semidirect
101. #16837705C22semidirect
102. #16837705C22semidirect
103. #16837704C22semidirect
104. #16837704C22semidirect
105. #16837703C22semidirect
106. #16837700C22semidirect
107. #16837681C22semidirect
108. #16837681C22semidirect
109. #16837679C22semidirect
110. #16837655C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837653C22semidirect
114. #16837651C22semidirect
115. #16837651C22semidirect
116. #16837650C22semidirect
118. #16837633C22semidirect
119. #16837633C22semidirect
120. #16837626C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
126. #16837614C22semidirect
127. #16837598C22semidirect
130. #16837596C22semidirect
131. #16837563C22semidirect
132. #16837552C22semidirect
136. #16837538C22semidirect
137. #16837537C22semidirect
138. #16837537C22semidirect
140. #16837535C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837515C22semidirect
146. #16837511C22semidirect
147. #16837505C22semidirect
148. #16837505C22semidirect
149. #16837500C22semidirect
150. Q16×Dic59C22semidirect
151. SD16×Dic59C22semidirect
152. SD16×Dic59C22semidirect
153. #16837487C22semidirect
154. #16837487C22semidirect
155. #16837487C22semidirect
156. #16837487C22semidirect
157. #16837484C22semidirect
158. #16837484C22semidirect
159. #16837484C22semidirect
162. #16837482C22semidirect
163. #16837482C22semidirect
164. #16837482C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837482C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837443C22semidirect
179. #16837442C22semidirect
180. C2×#14273660C22semidirect
181. #16837408C22semidirect
182. #16837405C22semidirect
183. #16837402C22semidirect
184. C2×#14273649C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
188. C59×#554C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#467C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
619. #11745669#41semidirect
890. #3314D59semidirect
927. #554C2×D59semidirect
976. #489C2×D59semidirect
982. #484C2×D59semidirect
990. #480C2×D59semidirect
1002. #474C2×D59semidirect
1010. #468C2×D59semidirect
1011. #467C2×D59semidirect
1016. #464C2×D59semidirect
1028. #452C2×D59semidirect
1030. #450C2×D59semidirect
1048. #440C2×D59semidirect
1074. #435C2×D59semidirect
1084. #417C2×D59semidirect
1086. C2×#102C2×D59semidirect
1090. C59#61444semidirect

Maximal subgroups

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

subgroupindex
#214377072
#214377012
#214371832
#214370492
#214368502
#214368482
#214367022
#214365852
#214365752
#214363032
#214362982
#214362392
#214362332
#214361832
#214357002
#214355802
#214355772
#214346942
#214346842
#214346672
#214341462
#214341442
#214341152
#214341132
#214340982
#214340932
#214330562
#214329092
#214329012
C2×#168374822
C59×#33142
#6144459