Finite Group Databasebeta

← #29484087

Subgroups — #29484087

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438662C211yesmaximal, characteristic, complemented
2#21438044C211yesmaximal, characteristic, complemented
3#21437166C211yesmaximal, characteristic, complemented
4#21437161C211yesmaximal, characteristic, complemented
5#21436818C211yesmaximal, characteristic, complemented
6#21436815C211yesmaximal, characteristic, complemented
7#21436390C211yesmaximal, characteristic, complemented
8#21436383C211yesmaximal, characteristic, complemented
9#21436254C211yesmaximal, characteristic, complemented
10#21436247C211yesmaximal, characteristic, complemented
11#21436168C211yesmaximal, characteristic, complemented
12#21436155C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435700C211yesmaximal, characteristic, complemented
15#21435600C211yesmaximal, characteristic, complemented
16#21435591C211yesmaximal, characteristic, complemented
17#21435589C211yesmaximal, characteristic, complemented
18#21435558C211yesmaximal, characteristic, complemented
19#21435555C211yesmaximal, characteristic, complemented
20#21435478C211yesmaximal, characteristic, complemented
21#21435211C211yesmaximal, characteristic, complemented
22#21435200C211yesmaximal, characteristic, complemented
23#21435082C211yesmaximal, characteristic, complemented
24#21434284C211yesmaximal, characteristic, complemented
25#21434281C211yesmaximal, characteristic, complemented
26#21434251C211yesmaximal, characteristic, complemented
27#21433605C211yesmaximal, characteristic, complemented
28#21433603C211yesmaximal, characteristic, complemented
29#21433592C211yesmaximal, characteristic, complemented
30#21433267C211yesmaximal, characteristic, complemented
31C59×#3266C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273753C2211yescharacteristic
34C2×#14273752C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic, complemented
36#16838151—21no—
37#16838148—21no—
38#16838134C2211yescharacteristic, complemented
39#16838126C2211yescharacteristic, complemented
40#16838124C2211yescharacteristic, complemented
41#16838123C2211yescharacteristic, complemented
42#16838117C2211yescharacteristic
43#16838116C2211yescharacteristic
44#16838081—21no—
45#16838079—21no—
46#16838078—21no—
47#16838075—21no—
48D4×Dic118C2211yescharacteristic, complemented
49Q8×C22⋊D59C2211yescharacteristic, complemented
50#16838063C2211yescharacteristic
51#16838062C2211yescharacteristic
52#16838058—21no—
53#16838048C2211yescharacteristic, complemented
54#16838043C2211yescharacteristic, complemented
55#16838040C2211yescharacteristic
56#16838039—21no—
57D4×C22⋊D59C2211yescharacteristic, complemented
58#16838027—21no—
59#16838026—21no—
60#16838025C2211yescharacteristic, complemented
61#16838025C2211yescharacteristic, complemented
62#16838024C2211yescharacteristic, complemented
63#16838022—21no—
64#16838021C2211yescharacteristic, complemented
65#16837989—21no—
66#16837987—21no—
67#16837985—21no—
68#16837977C2211yescharacteristic, complemented
69#16837976C2211yescharacteristic, complemented
70#16837954C2211yescharacteristic, complemented
71#16837947C2211yescharacteristic
72#16837932C2211yescharacteristic
73#16837929—21no—
74C2×#14273716C2211yescharacteristic, complemented
75C2×#14273713—21no—
76#16837877C2211yescharacteristic, complemented
77#16837874C2211yescharacteristic, complemented
78#41×Dic59C2211yescharacteristic
79#16837795C2211yescharacteristic, complemented
80#16837788C2211yescharacteristic
81#16837788C2211yescharacteristic
82#16837787C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837762C2211yescharacteristic, complemented
88#16837752C2211yescharacteristic, complemented
89#16837751C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837740C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837697C2211yescharacteristic, complemented
97#16837696C2211yescharacteristic, complemented
98#16837695C2211yescharacteristic, complemented
99#16837695C2211yescharacteristic, complemented
100#16837695C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837640C2211yescharacteristic, complemented
114#16837638C2211yescharacteristic
115#16837637C2211yescharacteristic
116#16837626C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic
125#16837619C2211yescharacteristic
126#16837619C2211yescharacteristic
127#16837619C2211yescharacteristic
128#16837619C2211yescharacteristic
129#16837619C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837619C2211yescharacteristic, complemented
132#16837618C2211yescharacteristic, complemented
133#16837617C2211yescharacteristic
134#16837614C2211yescharacteristic, complemented
135#16837610C2211yescharacteristic, complemented
136#16837606C2211yescharacteristic, complemented
137#16837605C2211yescharacteristic, complemented
138#16837605C2211yescharacteristic, complemented
139#16837605C2211yescharacteristic, complemented
140#16837605C2211yescharacteristic, complemented
141#16837604C2211yescharacteristic, complemented
142#16837601C2211yescharacteristic, complemented
143#16837600C2211yescharacteristic, complemented
144#16837564C2211yescharacteristic
145#16837563C2211yescharacteristic, complemented
146#16837562C2211yescharacteristic, complemented
147#16837556C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic
150#16837546C2211yescharacteristic
151#16837541C2211yescharacteristic, complemented
152#16837541C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic
156#16837536C2211yescharacteristic
157#16837535C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837529C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837509C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168C4×#11745671C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic
170#16837482C2211yescharacteristic
171#16837480C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837428C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837411C2211yescharacteristic, complemented
183#16837411C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837408C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187#16837397C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic
189C22×SD16×C59C2211yescharacteristic, complemented
190D4×Q8×C59C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic
198C59×#451C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C22×Dic118—21no—
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59C2311yescharacteristic
211#14273754—42no—
212#14273753—42no—
213#14273752—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223SD16×D59—42no—
224C2×D472C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C2×#11745664C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234#14273727C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273725—21no—
239#14273725C2311yescharacteristic
240#14273725C2311yescharacteristic
241#14273723C2311yescharacteristic
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273722D411yescharacteristic
249#14273721—21no—
250#14273721—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720D411yescharacteristic
254#14273717—21no—
255#14273717D411yescharacteristic
256#14273716—21no—
257#14273716—21no—
258#14273716—21no—
259#14273716C2311yescharacteristic
260#14273716C2311yescharacteristic
261#14273716C2311yescharacteristic
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273715—21no—
266#14273715C2311yescharacteristic
267#14273714—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713D411yescharacteristic
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273711—21no—
285#14273711—21no—
286#14273711D411yescharacteristic
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273708D411yescharacteristic
294#14273707—21no—
295#14273707—21no—
296#14273707—21no—
297#14273706—21no—
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704D411yescharacteristic
310#14273703—21no—
311#14273703—21no—
312#14273703—21no—
313#14273703—21no—
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273702—21no—
317#14273702C2311yescharacteristic
318#14273701—21no—
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273700—21no—
323#14273700—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699D411yescharacteristic
329#14273698—21no—
330#14273698C2311yescharacteristic
331#14273697—21no—
332#14273696—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336Q8×Dic59C2311yescharacteristic
337Q8×Dic59C2311yescharacteristic
338Q8×Dic59C2311yescharacteristic
339Q8×Dic59C2311yescharacteristic
340C4×Dic118C2311yescharacteristic
341#14273692—21no—
342#14273692—21no—
343#14273692C2311yescharacteristic
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355#14273689—21no—
356#14273689C2311yescharacteristic
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59C2311yescharacteristic
362C4×C22⋊D59C2311yescharacteristic
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273686—21no—
367#14273686C2311yescharacteristic
368#14273686C2311yescharacteristic
369#14273686C2311yescharacteristic
370#14273685—21no—
371#14273685—21no—
372#14273685C2311yescharacteristic
373#14273684—21no—
374#14273684C2311yescharacteristic
375#14273683—21no—
376#14273683—21no—
377C2×C22⋊Dic59—21no—
378C2×C22⋊Dic59—21no—
379C2×(C2×D59)⋊C4—21no—
380C2×(C2×D59)⋊C4—21no—
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—21no—
387C2×C4×Dic59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×Q8×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443#137×C59—42no—
444C2×Q16×C59C2311yescharacteristic
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59—42no—
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457C4⋊Q8×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465#121×C59—21no—
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×Q8×C59C2311yescharacteristic
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—22no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—41no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—82no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59C2×D411yescharacteristic
530C22×Dic59C2×D411yescharacteristic
531#11745689—41no—
532#11745689—41no—
533Q8×D59—41no—
534Q8×D59—41no—
535#11745687—82no—
536D4×D59—22no—
537D4×D59—41no—
538#11745685—41no—
539#11745685—41no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—41no—
544C2×D236—41no—
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×C4×D59—21no—
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×D59C2411yescharacteristic
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118—82no—
562C2×Dic118C2×D411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565Q16×C59—41no—
566Q16×C59—41no—
567SD16×C59—22no—
568SD16×C59—22no—
569SD16×C59—22no—
570SD16×C59—41no—
571SD16×C59—41no—
572SD16×C59—41no—
573M16×C59—41no—
574C2×C8×C59—41no—
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
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
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59C2×D411yescharacteristic
596C22⋊C4×C59C2×D411yescharacteristic
597C42×C59—21no—
598C42×C59C2411yescharacteristic
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
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
610C22⋊Dic59C2×D411yescharacteristic
611C22⋊Dic59C2×D411yescharacteristic
612#11745672—41no—
613#11745671—41no—
614#11745671—41no—
615#11745671—41no—
616#11745671—41no—
617#11745671—41no—
618#11745670—22no—
619#11745670—41no—
620#11745669—22no—
621#11745669—22no—
622#11745669—41no—
623#11745669—41no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696#11745664—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—41no—
702D472—41no—
703#11745660—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—42no—
709C23×C59—81no—
710C23×C59—81no—
711C23×C59C22×D411yescharacteristic
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—21no—
729Q8×C59—21no—
730Q8×C59—21no—
731Q8×C59—81no—
732Q8×C59—81no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—41no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59—81no—
740D4×C59H(5,𝔽2)12yes—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—42no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C2511yescharacteristic
760C22⋊D59—41no—
761C22⋊D59—41no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—41no—
776C2×Dic59—41no—
777C2×Dic59—42no—
778C2×Dic59—81no—
779C2×Dic59—81no—
780C2×Dic59—81no—
781C2×Dic59—81no—
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—81no—
796D236—81no—
797D236—81no—
798C4×D59—21no—
799C4×D59—21no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807Dic118—21no—
808Dic118—21no—
809Dic118—41no—
810Dic118—42no—
811Dic118—81no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62087—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—22no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—162no—
837C22×C59C23×D411yescharacteristic
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
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—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59C2×H(5,𝔽2)11yescharacteristic
863C4×C59#58511yescharacteristic
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3561—591no—
877#3514—591no—
878#3401—591no—
879#3401—591no—
880#3367—591no—
881#3367—591no—
882#3329—591no—
883#3329—591no—
884#3319—591no—
885#3319—591no—
886#3313—591no—
887#3313—591no—
888#3273—591no—
889#3273—591no—
890#3266—591no—
891#3266D5911yescharacteristic, complemented
892#3265—591no—
893#3265—591no—
894#3262—591no—
895#3262—591no—
896#3254—591no—
897#3225—591no—
898#3225—591no—
899#3213—591no—
900#3118—591no—
901#3118—591no—
902#3116—591no—
903#3042—591no—
904#3042—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—42no—
909C2×C59—41no—
910C2×C59—81no—
911C2×C59#348811yescharacteristic
912C2×C59#358511yescharacteristic
913C2×C59#358611yescharacteristic
914D59—41no—
915D59—81no—
916D59—81no—
917D59—81no—
918C2×#137C2×D5911yescharacteristic
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×AGL(1,ℤ/8)—591no—
922C22×SD16—591no—
923C22×SD16C2×D5911yescharacteristic, complemented
924#563—1181no—
925#562—1181no—
926#559—591no—
927#556—591no—
928#556—591no—
929#556—591no—
930#555—591no—
931#555—591no—
932#551—1181no—
933#551—1181no—
934#551—1181no—
935#551—1181no—
936D4×Q8—591no—
937D4×Q8—591no—
938D4×Q8C2×D5911yescharacteristic, complemented
939#548—591no—
940#548—591no—
941#548—1181no—
942#546—591no—
943#546—591no—
944#546—591no—
945#546—1181no—
946#546C2×D5911yescharacteristic
947D42—591no—
948#543—1181no—
949#542—591no—
950#542—591no—
951#542—591no—
952#542—591no—
953#542—1181no—
954#542—1181no—
955#538—1181no—
956#538—1181no—
957#538—1181no—
958#536—591no—
959#536—591no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#124—591no—
965C2×#124—1181no—
966#518—591no—
967#518—591no—
968C4×#41—591no—
969#497—591no—
970#497C2×D5911yescharacteristic, complemented
971#496—591no—
972#496—591no—
973#495—591no—
974#495—591no—
975#489—591no—
976#489—591no—
977#489—591no—
978#489—591no—
979#487—591no—
980#487—591no—
981#485—591no—
982#485—591no—
983#485—591no—
984#485—591no—
985#482—591no—
986#482—591no—
987#477—591no—
988#477—591no—
989#477—591no—
990#477—591no—
991#477—591no—
992#476—591no—
993#474—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#468—591no—
998#468—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468C2×D5911yescharacteristic, complemented
1005#467—591no—
1006#467C2×D5911yescharacteristic, complemented
1007#466—591no—
1008#466—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464C2×D5911yescharacteristic, complemented
1015#463—591no—
1016#463—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#462—591no—
1030#461—591no—
1031#461—591no—
1032#461—591no—
1033#461—591no—
1034#461—591no—
1035#461—591no—
1036#461C2×D5911yescharacteristic, complemented
1037#460—591no—
1038#460—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452C2×D5911yescharacteristic
1043#451—591no—
1044#451C2×D5911yescharacteristic, complemented
1045#450—591no—
1046#450C2×D5911yescharacteristic, complemented
1047#449—591no—
1048#449—591no—
1049#448—591no—
1050#448—591no—
1051#448—591no—
1052#448C2×D5911yescharacteristic, complemented
1053#447—591no—
1054#447—591no—
1055#447—591no—
1056#447—591no—
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#441—591no—
1062#441—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440C2×D5911yescharacteristic, complemented
1067C4×SD16—591no—
1068C4×SD16—591no—
1069C4×D8—591no—
1070C4×D8—591no—
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435C2×D5911yescharacteristic, complemented
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#419—591no—
1085#419—591no—
1086#418—591no—
1087#416—591no—
1088#416—591no—
1089C59#6208711yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—1181no—
1093C2×#41C22×D5911yescharacteristic
1094C22×Q8—591no—
1095C22×Q8—1181no—
1096C22×Q8C22×D5911yescharacteristic
1097C22×Q8C22×D5911yescharacteristic
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102#137—42no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16C22×D5911yescharacteristic
1108C2×Q16C22×D5911yescharacteristic
1109C2×Q16C22×D5911yescharacteristic
1110C2×SD16—42no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—2362no—
1120C2×SD16C22×D5911yescharacteristic
1121C2×SD16C22×D5911yescharacteristic
1122C2×SD16C22×D5911yescharacteristic
1123C2×SD16C22×D5911yescharacteristic
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16C22×D5911yescharacteristic
1136C22×C8—591no—
1137C22×C8C22×D5911yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—591no—
1145C4⋊Q8—1181no—
1146C4⋊Q8C22×D5911yescharacteristic
1147#127—591no—
1148#126—591no—
1149#126—591no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#125—591no—
1161#125—1181no—
1162#124—591no—
1163#124—591no—
1164#124—591no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—591no—
1170#124—1181no—
1171#124—1181no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124C22×D5911yescharacteristic
1186#123—21no—
1187#123—591no—
1188#123—591no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8C22×D5911yescharacteristic
1227C22⋊Q8C22×D5911yescharacteristic
1228C22⋊Q8C22×D5911yescharacteristic
1229#121—21no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121C22×D5911yescharacteristic
1246#120—21no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—1181no—
1259C4×Q8—1181no—
1260C4×Q8C22×D5911yescharacteristic
1261C4×D4—21no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286#117—591no—
1287#117—591no—
1288#117—591no—
1289#117—591no—
1290#117—591no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—1181no—
1299C2×C22⋊C4—1181no—
1300C2×C22⋊C4—1181no—
1301C2×C22⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
1326C4⋊C8C22×D5911yescharacteristic
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103C22×D5911yescharacteristic
1342#103C22×D5911yescharacteristic
1343#103C22×D5911yescharacteristic
1344#103C22×D5911yescharacteristic
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8C22×D5911yescharacteristic
1364C22⋊C8C22×D5911yescharacteristic
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8—591no—
1371C24—21no—
1372C24—1181no—
1373C24—1181no—
1374#41—22no—
1375#41—41no—
1376#41—4722no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—41no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—591no—
1388C2×Q8—591no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8—4722no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8C23×D5911yescharacteristic
1398C2×Q8C23×D5911yescharacteristic
1399C2×Q8C23×D5911yescharacteristic
1400C2×Q8C23×D5911yescharacteristic
1401C2×D4—22no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1182no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—4722no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4D4×D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
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×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—41no—
1454Q16—2361no—
1455SD16—22no—
1456SD16—22no—
1457SD16—22no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469D8—1182no—
1470D8—1182no—
1471D8—2361no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475M16—41no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—41no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
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—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
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⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4D4×D5911yescharacteristic
1525C4⋊C4C23×D5911yescharacteristic
1526C4⋊C4C23×D5911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
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⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4D4×D5911yescharacteristic
1577C22⋊C4D4×D5911yescharacteristic
1578C42—21no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42—1181no—
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—81no—
1597C23—81no—
1598C23—591no—
1599C23—1181no—
1600C23—1181no—
1601C23—1181no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—2362no—
1607C23—2362no—
1608C23C2×D4×D5911yescharacteristic
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—81no—
1619Q8—81no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—4721no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—4721no—
1626Q8—2361no—
1627Q8—2362no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—41no—
1632D4—42no—
1633D4—42no—
1634D4—81no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—2361no—
1651D4—2361no—
1652D4—2362no—
1653D4—2362no—
1654D4#1427377212yes—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—42no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—4721no—
1692C2×C4—4721no—
1693C2×C4—4721no—
1694C2×C4—2361no—
1695C2×C4—2361no—
1696C2×C4—2362no—
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—9442no—
1727C22—9442no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—1181no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4C2×#1427377211yescharacteristic
1761C4#1683823711yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—4721no—
1767C2—4721no—
1768C2—4721no—
1769C2—2361no—
1770C2#2143775611yescharacteristic
1771C2#2143887411yescharacteristic
1772C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3266C2
socleC22×C59C23×D4
hypercenter#3266D59
hypocenterC59#62087
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #21438662C2semidirect
2. #21438044C2semidirect
3. #21437166C2semidirect
4. #21437161C2semidirect
5. #21436818C2semidirect
6. #21436815C2semidirect
7. #21436390C2semidirect
8. #21436383C2semidirect
9. #21436254C2semidirect
10. #21436247C2semidirect
11. #21436168C2semidirect
12. #21436155C2semidirect
13. #21435703C2semidirect
14. #21435700C2semidirect
15. #21435600C2semidirect
16. #21435591C2semidirect
17. #21435589C2semidirect
18. #21435558C2semidirect
19. #21435555C2semidirect
20. #21435478C2semidirect
21. #21435211C2semidirect
22. #21435200C2semidirect
23. #21435082C2semidirect
24. #21434284C2semidirect
25. #21434281C2semidirect
26. #21434251C2semidirect
27. #21433605C2semidirect
28. #21433603C2semidirect
29. #21433592C2semidirect
30. #21433267C2semidirect
31. C59×#3266C2semidirect
35. C2×SD16×D59C22semidirect
38. #16838134C22semidirect
39. #16838126C22semidirect
40. #16838124C22semidirect
41. #16838123C22semidirect
48. D4×Dic118C22semidirect
49. Q8×C22⋊D59C22semidirect
53. #16838048C22semidirect
54. #16838043C22semidirect
57. D4×C22⋊D59C22semidirect
60. #16838025C22semidirect
61. #16838025C22semidirect
62. #16838024C22semidirect
64. #16838021C22semidirect
68. #16837977C22semidirect
69. #16837976C22semidirect
70. #16837954C22semidirect
74. C2×#14273716C22semidirect
76. #16837877C22semidirect
77. #16837874C22semidirect
79. #16837795C22semidirect
82. #16837787C22semidirect
83. #16837784C22semidirect
84. #16837763C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837762C22semidirect
88. #16837752C22semidirect
89. #16837751C22semidirect
90. #16837744C22semidirect
91. #16837741C22semidirect
92. #16837740C22semidirect
93. #16837740C22semidirect
94. #16837729C22semidirect
95. #16837727C22semidirect
96. #16837697C22semidirect
97. #16837696C22semidirect
98. #16837695C22semidirect
99. #16837695C22semidirect
100. #16837695C22semidirect
101. #16837690C22semidirect
102. #16837683C22semidirect
103. #16837681C22semidirect
104. #16837681C22semidirect
105. #16837680C22semidirect
106. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837650C22semidirect
109. #16837650C22semidirect
110. #16837648C22semidirect
111. #16837646C22semidirect
112. #16837645C22semidirect
113. #16837640C22semidirect
116. #16837626C22semidirect
117. #16837626C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837626C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837620C22semidirect
129. #16837619C22semidirect
130. #16837619C22semidirect
131. #16837619C22semidirect
132. #16837618C22semidirect
134. #16837614C22semidirect
135. #16837610C22semidirect
136. #16837606C22semidirect
137. #16837605C22semidirect
138. #16837605C22semidirect
139. #16837605C22semidirect
140. #16837605C22semidirect
141. #16837604C22semidirect
142. #16837601C22semidirect
143. #16837600C22semidirect
145. #16837563C22semidirect
146. #16837562C22semidirect
147. #16837556C22semidirect
148. #16837551C22semidirect
151. #16837541C22semidirect
152. #16837541C22semidirect
153. #16837539C22semidirect
154. #16837538C22semidirect
157. #16837535C22semidirect
158. #16837530C22semidirect
159. #16837529C22semidirect
160. #16837515C22semidirect
161. #16837511C22semidirect
162. #16837509C22semidirect
163. #16837506C22semidirect
164. #16837503C22semidirect
165. #16837503C22semidirect
166. #16837499C22semidirect
167. SD16×Dic59C22semidirect
168. C4×#11745671C22semidirect
171. #16837480C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837473C22semidirect
175. #16837471C22semidirect
176. #16837464C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837428C22semidirect
180. #16837427C22semidirect
181. #16837425C22semidirect
182. #16837411C22semidirect
183. #16837411C22semidirect
184. #16837409C22semidirect
185. #16837408C22semidirect
186. #16837399C22semidirect
187. #16837397C22semidirect
189. C22×SD16×C59C22semidirect
190. D4×Q8×C59C22semidirect
192. C59×#497C22semidirect
193. C59×#468C22semidirect
194. C59×#467C22semidirect
195. C59×#464C22semidirect
196. C59×#461C22semidirect
198. C59×#451C22semidirect
199. C59×#450C22semidirect
200. C59×#448C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
891. #3266D59semidirect
923. C22×SD16C2×D59semidirect
938. D4×Q8C2×D59semidirect
970. #497C2×D59semidirect
1004. #468C2×D59semidirect
1006. #467C2×D59semidirect
1014. #464C2×D59semidirect
1036. #461C2×D59semidirect
1044. #451C2×D59semidirect
1046. #450C2×D59semidirect
1052. #448C2×D59semidirect
1066. #440C2×D59semidirect
1076. #435C2×D59semidirect
1089. C59#62087semidirect

Maximal subgroups

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

subgroupindex
#214386622
#214380442
#214371662
#214371612
#214368182
#214368152
#214363902
#214363832
#214362542
#214362472
#214361682
#214361552
#214357032
#214357002
#214356002
#214355912
#214355892
#214355582
#214355552
#214354782
#214352112
#214352002
#214350822
#214342842
#214342812
#214342512
#214336052
#214336032
#214335922
#214332672
C59×#32662
#6208759