Finite Group Databasebeta

← #29483904

Subgroups — #29483904

Order 15104.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438422C211yesmaximal, characteristic, complemented
2#21438207C211yesmaximal, characteristic, complemented
3#21437183C211yesmaximal, characteristic, complemented
4#21437137C211yesmaximal, characteristic, complemented
5#21436868C211yesmaximal, characteristic, complemented
6#21436820C211yesmaximal, characteristic, complemented
7#21436334C211yesmaximal, characteristic, complemented
8#21436319C211yesmaximal, characteristic, complemented
9#21436248C211yesmaximal, characteristic, complemented
10#21436238C211yesmaximal, characteristic, complemented
11#21436124C211yesmaximal, characteristic, complemented
12#21436098C211yesmaximal, characteristic, complemented
13#21435721C211yesmaximal, characteristic, complemented
14#21435711C211yesmaximal, characteristic, complemented
15#21435675C211yesmaximal, characteristic, complemented
16#21435631C211yesmaximal, characteristic, complemented
17#21435591C211yesmaximal, characteristic, complemented
18#21435591C211yesmaximal, characteristic, complemented
19#21435535C211yesmaximal, characteristic, complemented
20#21435505C211yesmaximal, characteristic, complemented
21#21435495C211yesmaximal, characteristic, complemented
22#21435197C211yesmaximal, characteristic, complemented
23#21435146C211yesmaximal, characteristic, complemented
24#21435118C211yesmaximal, characteristic, complemented
25#21434387C211yesmaximal, characteristic, complemented
26#21434294C211yesmaximal, characteristic, complemented
27#21434204C211yesmaximal, characteristic, complemented
28#21433638C211yesmaximal, characteristic, complemented
29#21433573C211yesmaximal, characteristic, complemented
30#21433264C211yesmaximal, characteristic, complemented
31C59×#3043C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273750C2211yescharacteristic, complemented
36#16838141—21no—
37#16838140—21no—
38#16838137—21no—
39#16838137C2211yescharacteristic, complemented
40#16838134C2211yescharacteristic
41#16838128C2211yescharacteristic, complemented
42#16838115—21no—
43#16838115C2211yescharacteristic, complemented
44#16838096—21no—
45#16838096C2211yescharacteristic, complemented
46#16838093—21no—
47#16838093C2211yescharacteristic, complemented
48#16838074C2211yescharacteristic, complemented
49#16838072C2211yescharacteristic
50#16838071C2211yescharacteristic
51#16838063C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic, complemented
53#16838045C2211yescharacteristic
54#16838041—21no—
55#16838040C2211yescharacteristic
56#16838037C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic
59#16838034—21no—
60#16838024—21no—
61#16838024C2211yescharacteristic, complemented
62#16838007—21no—
63#16838007C2211yescharacteristic
64#16838007C2211yescharacteristic, complemented
65#16838006C2211yescharacteristic
66#16838002—21no—
67#16837970C2211yescharacteristic
68#16837967—21no—
69#16837962—21no—
70#16837960—21no—
71#127×D59C2211yescharacteristic
72#16837939—21no—
73#16837939C2211yescharacteristic, complemented
74#16837931C2211yescharacteristic
75#16837930—21no—
76#16837930C2211yescharacteristic
77#16837884C2211yescharacteristic, complemented
78C4×#11745689C2211yescharacteristic, complemented
79#16837792C2211yescharacteristic, complemented
80#16837788C2211yescharacteristic
81#16837788C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837787C2211yescharacteristic, complemented
84#16837778C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic
87#16837765C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic
95#16837719C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837711C2211yescharacteristic, complemented
98#16837709C2211yescharacteristic, complemented
99#16837709C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837680C2211yescharacteristic, complemented
107#16837657C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837655C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic
111#16837654C2211yescharacteristic, complemented
112#16837651C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic
114#16837645C2211yescharacteristic, complemented
115#16837638C2211yescharacteristic, complemented
116#16837638C2211yescharacteristic, complemented
117#16837637C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837602C2211yescharacteristic, complemented
128#16837602C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic
130#16837600C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837598C2211yescharacteristic, complemented
133#16837598C2211yescharacteristic, complemented
134#16837598C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837594C2211yescharacteristic, complemented
140#16837594C2211yescharacteristic, complemented
141#16837563C2211yescharacteristic, complemented
142#16837563C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic
150#16837546C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837541C2211yescharacteristic, complemented
153#16837541C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837536C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837529C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837509C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167#16837500C2211yescharacteristic, complemented
168#16837500C2211yescharacteristic, complemented
169SD16×Dic59C2211yescharacteristic, complemented
170C4×#11745671C2211yescharacteristic, complemented
171C4×#11745671C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837479C2211yescharacteristic, complemented
174#16837478C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837472C2211yescharacteristic, complemented
178#16837471C2211yescharacteristic, complemented
179#16837463C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837458C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837424C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837402C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#535C2211yescharacteristic
191C59×#519C2211yescharacteristic, complemented
192C59×#464C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#460C2211yescharacteristic, complemented
198C59×#460C2211yescharacteristic, complemented
199C59×#460C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745687—21no—
207C22×C22⋊D59—21no—
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215#14273754—42no—
216#14273754—42no—
217#14273754—42no—
218#14273750—42no—
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239#14273726—21no—
240#14273726C2311yescharacteristic
241#14273724—21no—
242#14273724C2311yescharacteristic
243#14273724C2311yescharacteristic
244#14273723—21no—
245#14273723—21no—
246#14273723—21no—
247#14273723C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273722—21no—
251#14273722D411yescharacteristic
252#14273721—21no—
253#14273721—21no—
254#14273721—21no—
255#14273720—21no—
256#14273720D411yescharacteristic
257#14273719—21no—
258#14273719C2311yescharacteristic
259#14273719C2311yescharacteristic
260#14273718—21no—
261#14273718C2311yescharacteristic
262#14273717—21no—
263#14273717D411yescharacteristic
264#14273716—21no—
265#14273716—21no—
266#14273716C2311yescharacteristic
267#14273716C2311yescharacteristic
268#14273716C2311yescharacteristic
269#14273715—21no—
270#14273715—21no—
271#14273715—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713D411yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712D411yescharacteristic
285#14273711—21no—
286#14273710—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709D411yescharacteristic
292#14273708—21no—
293#14273708—21no—
294#14273705—21no—
295#14273705D411yescharacteristic
296#14273703—21no—
297#14273703—21no—
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273703C2311yescharacteristic
301#14273702—21no—
302#14273702—21no—
303#14273702C2311yescharacteristic
304#14273702C2311yescharacteristic
305#14273701—21no—
306#14273701—21no—
307#14273701—21no—
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700D411yescharacteristic
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273696—21no—
339#14273696—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345Q8×Dic59C2311yescharacteristic
346Q8×Dic59C2311yescharacteristic
347Q8×Dic59C2311yescharacteristic
348C4×Dic118—21no—
349C4×Dic118C2311yescharacteristic
350C4×D236—21no—
351C4×D236—21no—
352C4×D236—21no—
353C4×D236—21no—
354C4×D236—21no—
355C4×D236—21no—
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364#14273689—21no—
365#14273689—21no—
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59C2311yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375#14273685—21no—
376#14273685C2311yescharacteristic
377#14273684—21no—
378#14273684—21no—
379#14273684—21no—
380#14273684—21no—
381#14273684C2311yescharacteristic
382#14273683—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59C2311yescharacteristic
385C2×(C2×D59)⋊C4—21no—
386C22⋊C4×D59—21no—
387C42×D59—21no—
388C42×D59C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×Q8×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442#137×C59—42no—
443C2×Q16×C59C2311yescharacteristic
444C2×Q16×C59C2311yescharacteristic
445C2×SD16×C59—42no—
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#120×C59—21no—
461#120×C59—21no—
462C4×Q8×C59—21no—
463C4×Q8×C59—21no—
464C4×Q8×C59C2311yescharacteristic
465C4×Q8×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59—21no—
470#117×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—41no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59—22no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—82no—
527C2×C22⋊D59—82no—
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533#11745689—22no—
534#11745689—22no—
535#11745689—41no—
536#11745689—41no—
537#11745689—41no—
538#11745689—41no—
539#11745687—82no—
540D4×D59—41no—
541D4×D59—41no—
542D4×D59—41no—
543D4×D59—41no—
544D4×D59—41no—
545D4×D59—41no—
546D4×D59—82no—
547D4×D59—82no—
548D4×D59—82no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236C2×D411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×Dic118—21no—
578C2×Dic118C2×D411yescharacteristic
579Q16×C59—22no—
580Q16×C59—41no—
581SD16×C59—22no—
582SD16×C59—22no—
583SD16×C59—22no—
584SD16×C59—41no—
585SD16×C59—41no—
586SD16×C59—41no—
587M16×C59—41no—
588C2×C8×C59—41no—
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2×D411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C42×C59—21no—
609C42×C59—21no—
610C42×C59—21no—
611C42×C59—21no—
612C42×C59—21no—
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59C2×D411yescharacteristic
622C22⋊Dic59C2×D411yescharacteristic
623#11745671—22no—
624#11745671—22no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745671—41no—
629#11745669—41no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—41no—
702D472—41no—
703D472—41no—
704D472—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—42no—
737Q8×C59H(5,𝔽2)12yes—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—42no—
758C2×C4×C59—81no—
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C2511yescharacteristic
765C22⋊D59—41no—
766C22⋊D59—41no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—42no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796D236—21no—
797D236—21no—
798D236—21no—
799D236—21no—
800D236—21no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—41no—
805D236—42no—
806D236—42no—
807D236—81no—
808D236—81no—
809D236—81no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236—81no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—41no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830Dic118—41no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—162no—
854C22×C59C23×D411yescharacteristic
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—22no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59C2×H(5,𝔽2)11yescharacteristic
887C4×C59#58511yescharacteristic
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043D5911yescharacteristic, complemented
927#3038—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—81no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59#348811yescharacteristic
934C2×C59#358511yescharacteristic
935C2×C59#358511yescharacteristic
936D59—41no—
937D59—41no—
938D59—81no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×#137C2×D5911yescharacteristic, complemented
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×SD16C2×D5911yescharacteristic, complemented
948#560—1181no—
949#560—1181no—
950#559—591no—
951#559—591no—
952#559—1181no—
953#557—591no—
954#555—591no—
955#555—1181no—
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—591no—
971D42—1181no—
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—1181no—
981#535C2×D5911yescharacteristic
982#534—1181no—
983#534—1181no—
984C2×#127—591no—
985#529—591no—
986#529—591no—
987#529—591no—
988#529—1181no—
989#529—1181no—
990#520—591no—
991#519C2×D5911yescharacteristic, complemented
992C4×#41—591no—
993#496—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#482—591no—
1007#482—591no—
1008#482—591no—
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464C2×D5911yescharacteristic, complemented
1036#464C2×D5911yescharacteristic, complemented
1037#464C2×D5911yescharacteristic, complemented
1038#464C2×D5911yescharacteristic, complemented
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460C2×D5911yescharacteristic, complemented
1051#460C2×D5911yescharacteristic, complemented
1052#460C2×D5911yescharacteristic, complemented
1053#460C2×D5911yescharacteristic, complemented
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424C2×D5911yescharacteristic, complemented
1106#423—591no—
1107#418—591no—
1108#418—591no—
1109#418C2×D5911yescharacteristic, complemented
1110#417—591no—
1111#416C2×D5911yescharacteristic, complemented
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41C22×D5911yescharacteristic
1119C22×Q8C22×D5911yescharacteristic
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—1181no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4C22×D5911yescharacteristic
1129#137—42no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16C22×D5911yescharacteristic
1135C2×Q16C22×D5911yescharacteristic
1136C2×SD16—42no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16C22×D5911yescharacteristic
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8C22×D5911yescharacteristic
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167#127—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127C22×D5911yescharacteristic
1177#127C22×D5911yescharacteristic
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#124—591no—
1193#124—591no—
1194#124—591no—
1195#124—591no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124C22×D5911yescharacteristic
1204#124C22×D5911yescharacteristic
1205#123—591no—
1206#123—591no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231#121—21no—
1232#121—21no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#120—21no—
1268#120—21no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—21no—
1280C4×Q8—21no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—1181no—
1286C4×Q8C22×D5911yescharacteristic
1287C4×Q8C22×D5911yescharacteristic
1288C4×Q8C22×D5911yescharacteristic
1289C4×Q8C22×D5911yescharacteristic
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315#117—21no—
1316#117—21no—
1317#117—591no—
1318#117—591no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117C22×D5911yescharacteristic
1326#117C22×D5911yescharacteristic
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—591no—
1332C2×C42—1181no—
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8C22×D5911yescharacteristic
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—21no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399#41—41no—
1400#41—41no—
1401#41—1182no—
1402#41—1182no—
1403#41—4722no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—21no—
1409C2×Q8—22no—
1410C2×Q8—41no—
1411C2×Q8—591no—
1412C2×Q8—1181no—
1413C2×Q8C23×D5911yescharacteristic
1414C2×Q8C23×D5911yescharacteristic
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—4722no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4—2361no—
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4C23×D5911yescharacteristic
1490Q16—22no—
1491Q16—41no—
1492SD16—22no—
1493SD16—22no—
1494SD16—22no—
1495SD16—41no—
1496SD16—41no—
1497SD16—41no—
1498SD16—1182no—
1499SD16—1182no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—2361no—
1505D8—2361no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—41no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4D4×D5911yescharacteristic
1559C4⋊C4D4×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4D4×D5911yescharacteristic
1604C22⋊C4D4×D5911yescharacteristic
1605C42—21no—
1606C42—21no—
1607C42—21no—
1608C42—21no—
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—81no—
1624C23—81no—
1625C23—81no—
1626C23—591no—
1627C23—591no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—2362no—
1640C23—2362no—
1641C23C2×D4×D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—21no—
1647Q8—42no—
1648Q8—4721no—
1649Q8—2361no—
1650Q8#1427377212yes—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—2361no—
1692D4—2362no—
1693D4—2362no—
1694D4—2361no—
1695D4—2361no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—42no—
1707C2×C4—81no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—2361no—
1733C2×C4—2361no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—162no—
1764C22—1181no—
1765C22—1181no—
1766C22—1181no—
1767C22—1181no—
1768C22—1181no—
1769C22—1181no—
1770C22—9442no—
1771C22—9442no—
1772C22—9442no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—22no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4C2×#1427377211yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—4721no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—2361no—
1817C2—2361no—
1818C2#2143776111yescharacteristic
1819C2#2143887411yescharacteristic
1820C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3043C2
socleC22×C59C23×D4
hypercenter#3043D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3043

Complements

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

NH ≅ G/Ntype
1. #21438422C2semidirect
2. #21438207C2semidirect
3. #21437183C2semidirect
4. #21437137C2semidirect
5. #21436868C2semidirect
6. #21436820C2semidirect
7. #21436334C2semidirect
8. #21436319C2semidirect
9. #21436248C2semidirect
10. #21436238C2semidirect
11. #21436124C2semidirect
12. #21436098C2semidirect
13. #21435721C2semidirect
14. #21435711C2semidirect
15. #21435675C2semidirect
16. #21435631C2semidirect
17. #21435591C2semidirect
18. #21435591C2semidirect
19. #21435535C2semidirect
20. #21435505C2semidirect
21. #21435495C2semidirect
22. #21435197C2semidirect
23. #21435146C2semidirect
24. #21435118C2semidirect
25. #21434387C2semidirect
26. #21434294C2semidirect
27. #21434204C2semidirect
28. #21433638C2semidirect
29. #21433573C2semidirect
30. #21433264C2semidirect
31. C59×#3043C2semidirect
32. C2×#14273754C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273750C22semidirect
39. #16838137C22semidirect
41. #16838128C22semidirect
43. #16838115C22semidirect
45. #16838096C22semidirect
47. #16838093C22semidirect
48. #16838074C22semidirect
51. #16838063C22semidirect
52. #16838063C22semidirect
61. #16838024C22semidirect
64. #16838007C22semidirect
73. #16837939C22semidirect
77. #16837884C22semidirect
78. C4×#11745689C22semidirect
79. #16837792C22semidirect
81. #16837788C22semidirect
82. #16837788C22semidirect
83. #16837787C22semidirect
84. #16837778C22semidirect
85. #16837766C22semidirect
87. #16837765C22semidirect
88. #16837763C22semidirect
89. #16837756C22semidirect
90. #16837747C22semidirect
91. #16837742C22semidirect
92. #16837726C22semidirect
93. #16837726C22semidirect
95. #16837719C22semidirect
96. #16837714C22semidirect
97. #16837711C22semidirect
98. #16837709C22semidirect
99. #16837709C22semidirect
100. #16837704C22semidirect
101. #16837703C22semidirect
102. #16837703C22semidirect
103. #16837703C22semidirect
104. #16837703C22semidirect
105. #16837690C22semidirect
106. #16837680C22semidirect
107. #16837657C22semidirect
108. #16837655C22semidirect
109. #16837655C22semidirect
111. #16837654C22semidirect
112. #16837651C22semidirect
114. #16837645C22semidirect
115. #16837638C22semidirect
116. #16837638C22semidirect
117. #16837637C22semidirect
118. #16837628C22semidirect
119. #16837626C22semidirect
120. #16837626C22semidirect
121. #16837620C22semidirect
122. #16837619C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837614C22semidirect
126. #16837614C22semidirect
127. #16837602C22semidirect
128. #16837602C22semidirect
130. #16837600C22semidirect
131. #16837600C22semidirect
132. #16837598C22semidirect
133. #16837598C22semidirect
134. #16837598C22semidirect
135. #16837598C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837594C22semidirect
140. #16837594C22semidirect
141. #16837563C22semidirect
142. #16837563C22semidirect
143. #16837551C22semidirect
144. #16837551C22semidirect
145. #16837551C22semidirect
146. #16837550C22semidirect
147. #16837547C22semidirect
148. #16837547C22semidirect
150. #16837546C22semidirect
151. #16837546C22semidirect
152. #16837541C22semidirect
153. #16837541C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837536C22semidirect
158. #16837536C22semidirect
159. #16837531C22semidirect
160. #16837529C22semidirect
161. #16837511C22semidirect
162. #16837511C22semidirect
163. #16837509C22semidirect
164. #16837505C22semidirect
165. #16837503C22semidirect
166. #16837503C22semidirect
167. #16837500C22semidirect
168. #16837500C22semidirect
169. SD16×Dic59C22semidirect
170. C4×#11745671C22semidirect
171. C4×#11745671C22semidirect
172. #16837482C22semidirect
173. #16837479C22semidirect
174. #16837478C22semidirect
175. #16837473C22semidirect
176. #16837473C22semidirect
177. #16837472C22semidirect
178. #16837471C22semidirect
179. #16837463C22semidirect
180. #16837462C22semidirect
181. #16837458C22semidirect
182. #16837427C22semidirect
183. #16837424C22semidirect
184. #16837405C22semidirect
185. #16837405C22semidirect
186. #16837402C22semidirect
187. #102×D59C22semidirect
188. C2×#137×C59C22semidirect
189. C22×SD16×C59C22semidirect
191. C59×#519C22semidirect
192. C59×#464C22semidirect
193. C59×#464C22semidirect
194. C59×#464C22semidirect
195. C59×#464C22semidirect
196. C59×#460C22semidirect
197. C59×#460C22semidirect
198. C59×#460C22semidirect
199. C59×#460C22semidirect
200. C59×#424C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
926. #3043D59semidirect
942. C2×#137C2×D59semidirect
947. C22×SD16C2×D59semidirect
991. #519C2×D59semidirect
1035. #464C2×D59semidirect
1036. #464C2×D59semidirect
1037. #464C2×D59semidirect
1038. #464C2×D59semidirect
1050. #460C2×D59semidirect
1051. #460C2×D59semidirect
1052. #460C2×D59semidirect
1053. #460C2×D59semidirect
1105. #424C2×D59semidirect
1109. #418C2×D59semidirect
1111. #416C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384222
#214382072
#214371832
#214371372
#214368682
#214368202
#214363342
#214363192
#214362482
#214362382
#214361242
#214360982
#214357212
#214357112
#214356752
#214356312
#214355912
#214355352
#214355052
#214354952
#214351972
#214351462
#214351182
#214343872
#214342942
#214342042
#214336382
#214335732
#214332642
C59×#30432
#6208159