Finite Group Databasebeta

← #29481954

Subgroups — #29481954

Order 15104.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438422C211yesmaximal, characteristic, complemented
2#21438038C211yesmaximal, characteristic, complemented
3#21437183C211yesmaximal, characteristic, complemented
4#21437137C211yesmaximal, characteristic, complemented
5#21436853C211yesmaximal, characteristic, complemented
6#21436798C211yesmaximal, characteristic, complemented
7#21436233C211yesmaximal, characteristic, complemented
8#21436124C211yesmaximal, characteristic, complemented
9#21436103C211yesmaximal, characteristic, complemented
10#21436058C211yesmaximal, characteristic, complemented
11#21435938C211yesmaximal, characteristic, complemented
12#21435905C211yesmaximal, characteristic, complemented
13#21435775C211yesmaximal, characteristic, complemented
14#21435768C211yesmaximal, characteristic, complemented
15#21435636C211yesmaximal, characteristic, complemented
16#21435582C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435570C211yesmaximal, characteristic, complemented
19#21435535C211yesmaximal, characteristic, complemented
20#21435505C211yesmaximal, characteristic, complemented
21#21435446C211yesmaximal, characteristic, complemented
22#21435197C211yesmaximal, characteristic, complemented
23#21435146C211yesmaximal, characteristic, complemented
24#21435118C211yesmaximal, characteristic, complemented
25#21434337C211yesmaximal, characteristic, complemented
26#21434295C211yesmaximal, characteristic, complemented
27#21434233C211yesmaximal, characteristic, complemented
28#21433597C211yesmaximal, characteristic, complemented
29#459×D59C211yesmaximal, characteristic, complemented
30#21433233C211yesmaximal, characteristic, complemented
31C59×#3045C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic, complemented
33C2×D8×D59C2211yescharacteristic, complemented
34C2×D8×D59C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic, complemented
36#16838141—21no—
37#16838140—21no—
38#16838137C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838111C2211yescharacteristic, complemented
41#16838101—21no—
42#16838100C2211yescharacteristic, complemented
43#16838093C2211yescharacteristic, complemented
44#16838076—21no—
45#16838076—21no—
46#16838072C2211yescharacteristic, complemented
47#16838071C2211yescharacteristic, complemented
48#16838053C2211yescharacteristic, complemented
49#16838048—21no—
50#16838045C2211yescharacteristic
51#16838041—21no—
52#16838040C2211yescharacteristic, complemented
53#16838040C2211yescharacteristic, complemented
54#16838040C2211yescharacteristic, complemented
55D4×D236C2211yescharacteristic, complemented
56#16838037C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic, complemented
58D4×C22⋊D59C2211yescharacteristic, complemented
59#16838034—21no—
60#16838024C2211yescharacteristic, complemented
61#16838007C2211yescharacteristic, complemented
62#16838007C2211yescharacteristic, complemented
63#16838006C2211yescharacteristic, complemented
64#16838002—21no—
65#16837999—21no—
66#16837985—21no—
67#16837970C2211yescharacteristic, complemented
68#16837967—21no—
69#16837962—21no—
70#16837960—21no—
71#127×D59C2211yescharacteristic, complemented
72#16837939C2211yescharacteristic, complemented
73#16837931C2211yescharacteristic, complemented
74#16837930C2211yescharacteristic
75#16837911—21no—
76C2×#14273712—21no—
77#16837874C2211yescharacteristic, complemented
78C4×D4×D59C2211yescharacteristic, complemented
79#16837792C2211yescharacteristic, complemented
80#16837788C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837787C2211yescharacteristic, complemented
84#16837778C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837720C2211yescharacteristic, complemented
95#16837715C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837709C2211yescharacteristic, complemented
98#16837707C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837680C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837640C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic
115#16837637C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837602C2211yescharacteristic, complemented
128#16837598C2211yescharacteristic, complemented
129#16837598C2211yescharacteristic, complemented
130#16837598C2211yescharacteristic, complemented
131#16837598C2211yescharacteristic, complemented
132#16837597C2211yescharacteristic, complemented
133#16837596C2211yescharacteristic, complemented
134#16837596C2211yescharacteristic, complemented
135#16837596C2211yescharacteristic, complemented
136#16837595C2211yescharacteristic
137#16837595C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837594C2211yescharacteristic, complemented
140#16837594C2211yescharacteristic, complemented
141#16837563C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837529C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837505C2211yescharacteristic, complemented
167#16837503C2211yescharacteristic, complemented
168#16837500C2211yescharacteristic, complemented
169C4×#11745671C2211yescharacteristic, complemented
170D8×Dic59C2211yescharacteristic, complemented
171C4×#11745669C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837467C2211yescharacteristic, complemented
178C8×C22⋊D59C2211yescharacteristic, complemented
179#16837463C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837458C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183C4⋊C8×D59C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837397C2211yescharacteristic, complemented
186#102×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#535C2211yescharacteristic, complemented
191C59×#520C2211yescharacteristic, complemented
192C59×#464C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#460C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#459C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745687—21no—
206C22×D236—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
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C22×C4×D59—21no—
218#14273754—42no—
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×D472C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235D8×D59—42no—
236D8×D59—42no—
237D8×D59—42no—
238C2×#11745659C2311yescharacteristic
239C2×C8×D59C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273724C2311yescharacteristic
244#14273724C2311yescharacteristic
245#14273723—21no—
246#14273723—21no—
247#14273723—21no—
248#14273723C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273722—21no—
252#14273722—21no—
253#14273722D411yescharacteristic
254#14273721—21no—
255#14273721—21no—
256#14273720—21no—
257#14273720D411yescharacteristic
258#14273719C2311yescharacteristic
259#14273719C2311yescharacteristic
260#14273718C2311yescharacteristic
261#14273717—21no—
262#14273717D411yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273716C2311yescharacteristic
266#14273715—21no—
267#14273715—21no—
268#14273713—21no—
269#14273713D411yescharacteristic
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712D411yescharacteristic
282#14273711—21no—
283#14273710—21no—
284#14273710—21no—
285#14273710—21no—
286#14273710—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709D411yescharacteristic
291#14273708—21no—
292#14273708—21no—
293#14273706—21no—
294#14273705—21no—
295#14273705—21no—
296#14273705D411yescharacteristic
297#14273704—21no—
298#14273704—21no—
299#14273703C2311yescharacteristic
300#14273703C2311yescharacteristic
301#14273703C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701—21no—
305#14273701—21no—
306#14273701—21no—
307#14273701C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700D411yescharacteristic
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273696—21no—
340#14273696—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348Q8×Dic59C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350C4×D236—21no—
351C4×D236—21no—
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59C2311yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374#14273685C2311yescharacteristic
375#14273684—21no—
376#14273684—21no—
377#14273684C2311yescharacteristic
378#14273683—21no—
379C2×Dic59⋊C4—21no—
380C4⋊C4×D59C2311yescharacteristic
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×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#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
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
440C2×#41×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—42no—
443#135×C59—42no—
444C2×Q16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×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×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×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—
488C23×D59—21no—
489C23×D59—21no—
490#41×C59—22no—
491#41×C59—41no—
492#41×C59—41no—
493#41×C59—41no—
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—21no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59C2411yescharacteristic
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—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59—82no—
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542#11745689—41no—
543#11745689—41no—
544#11745687—82no—
545D4×D59—22no—
546D4×D59—22no—
547D4×D59—41no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—82no—
556D4×D59—82no—
557D4×D59—82no—
558#11745685—82no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—82no—
567C2×D236C2×D411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×D236C2411yescharacteristic
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—82no—
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2411yescharacteristic
584C2×C4×D59C2411yescharacteristic
585C2×Dic118—21no—
586C2×Dic118C2×D411yescharacteristic
587Q16×C59—41no—
588SD16×C59—22no—
589SD16×C59—41no—
590SD16×C59—41no—
591SD16×C59—41no—
592D8×C59—22no—
593D8×C59—22no—
594D8×C59—22no—
595M16×C59—41no—
596C2×C8×C59—41no—
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59C2×D411yescharacteristic
605C4⋊C4×C59C2×D411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C4⋊C4×C59C2411yescharacteristic
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59C2×D411yescharacteristic
615C22⋊C4×C59C2×D411yescharacteristic
616C42×C59—21no—
617C42×C59—21no—
618C42×C59C2411yescharacteristic
619C42×C59C2411yescharacteristic
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59C2×D411yescharacteristic
629C22⋊Dic59C2×D411yescharacteristic
630#11745671—41no—
631#11745671—41no—
632#11745671—41no—
633#11745671—41no—
634#11745669—22no—
635#11745669—22no—
636#11745669—41no—
637#11745669—41no—
638#11745669—41no—
639#11745669—41no—
640#11745669—41no—
641#11745669—41no—
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)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59C2×D411yescharacteristic
673C4⋊Dic59C2×D411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693Dic59⋊C4C2×D411yescharacteristic
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59C2×D411yescharacteristic
697C4×Dic59C2×D411yescharacteristic
698C4×Dic59C2411yescharacteristic
699C4×Dic59C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704D472—41no—
705D472—41no—
706D472—41no—
707D472—41no—
708#11745659—41no—
709C8×D59—41no—
710C8×D59—41no—
711C8×D59—41no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—21no—
715C23×C59—21no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59C22×D411yescharacteristic
720C22×D59—21no—
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—42no—
727C22×D59—42no—
728C22×D59—42no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—42no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59—81no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59H(5,𝔽2)12yes—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—42no—
767C2×C4×C59—81no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59—81no—
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C2511yescharacteristic
777C22⋊D59—22no—
778C22⋊D59—41no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—42no—
802C2×Dic59—81no—
803C2×Dic59—81no—
804C2×Dic59—81no—
805C2×Dic59—81no—
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812D236—22no—
813D236—21no—
814D236—21no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—21no—
819D236—21no—
820D236—21no—
821D236—42no—
822D236—81no—
823D236—81no—
824D236—81no—
825D236—81no—
826D236—81no—
827D236—81no—
828C4×D59—22no—
829C4×D59—21no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—41no—
834C4×D59—42no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840C4×D59—81no—
841C4×D59—81no—
842Dic118—41no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#62007—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—22no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—162no—
869C22×C59C23×D411yescharacteristic
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—84no—
888C2×D59—162no—
889C2×D59—162no—
890C2×D59—162no—
891C2×D59—162no—
892C2×D59#57612yes—
893C4×C59—21no—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—21no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59C2×H(5,𝔽2)11yescharacteristic
903C4×C59#58511yescharacteristic
904Dic59—21no—
905Dic59—21no—
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—21no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914#3543—591no—
915#3513—591no—
916#3403—591no—
917#3399—591no—
918#3370—591no—
919#3366—591no—
920#3318—591no—
921#3310—591no—
922#3309—591no—
923#3306—591no—
924#3296—591no—
925#3294—591no—
926#3280—591no—
927D4×D8—591no—
928#3268—591no—
929#3264—591no—
930#3264—591no—
931#3264—591no—
932#3259—591no—
933#3257—591no—
934#3250—591no—
935#3224—591no—
936#3220—591no—
937#3217—591no—
938#3122—591no—
939#3119—591no—
940#3114—591no—
941#3045D5911yescharacteristic, complemented
942#3041—591no—
943C2×#459—591no—
944#2992—591no—
945C2×C59—42no—
946C2×C59—41no—
947C2×C59—81no—
948C2×C59—81no—
949C2×C59—81no—
950C2×C59#348811yescharacteristic
951C2×C59C2×#57611yescharacteristic
952C2×C59#358511yescharacteristic
953D59—22no—
954D59—41no—
955D59—81no—
956D59—81no—
957D59—81no—
958D59—81no—
959C2×AGL(1,ℤ/8)—591no—
960C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
961C2×#135C2×D5911yescharacteristic, complemented
962C22×D8—591no—
963C22×D8—591no—
964C22×D8—591no—
965#560—1181no—
966#560—1181no—
967#559—591no—
968#559—591no—
969#554—591no—
970#553—591no—
971#553—1181no—
972#552—591no—
973#551—1181no—
974#551—1181no—
975#550—591no—
976#550—591no—
977#547—591no—
978#546—591no—
979#546—591no—
980#546—591no—
981#546—591no—
982#546—1181no—
983#546—1181no—
984D42—591no—
985D42—591no—
986D42—591no—
987D42—591no—
988D42—1181no—
989#542—591no—
990#540—591no—
991#540—591no—
992#540—591no—
993#540—1181no—
994#539—1181no—
995#538—1181no—
996#535—591no—
997#535—1181no—
998#535C2×D5911yescharacteristic, complemented
999#534—1181no—
1000#534—1181no—
1001C2×#127—591no—
1002#529—591no—
1003#529—591no—
1004#529—591no—
1005#525—1181no—
1006C2×#123—1181no—
1007#520C2×D5911yescharacteristic, complemented
1008#518—591no—
1009C2×C4×D4—591no—
1010#496—591no—
1011#496—591no—
1012#496—591no—
1013#496—591no—
1014#495—591no—
1015#493—591no—
1016#490—591no—
1017#490—591no—
1018#490—591no—
1019#489—591no—
1020#488—591no—
1021#486—591no—
1022#483—591no—
1023#482—591no—
1024#482—591no—
1025#481—591no—
1026#480—591no—
1027#480—591no—
1028#479—591no—
1029#479—591no—
1030#478—591no—
1031#478—591no—
1032#478—591no—
1033#478—591no—
1034#478—591no—
1035#478—591no—
1036#476—591no—
1037#474—591no—
1038#469—591no—
1039#469—591no—
1040#469—591no—
1041#468—591no—
1042#467—591no—
1043#466—591no—
1044#466—591no—
1045#466—591no—
1046#466—591no—
1047#465—591no—
1048#465—591no—
1049#465—591no—
1050#464—591no—
1051#464C2×D5911yescharacteristic, complemented
1052#464C2×D5911yescharacteristic, complemented
1053#463—591no—
1054#463—591no—
1055#463—591no—
1056#463—591no—
1057#463—591no—
1058#463—591no—
1059#463—591no—
1060#463C2×D5911yescharacteristic, complemented
1061#463C2×D5911yescharacteristic, complemented
1062#460—591no—
1063#460C2×D5911yescharacteristic, complemented
1064#460C2×D5911yescharacteristic, complemented
1065#459—591no—
1066#459—591no—
1067#459—591no—
1068#459—591no—
1069#459—591no—
1070#459—591no—
1071#459—591no—
1072#459—591no—
1073#459—591no—
1074#459—591no—
1075#459—591no—
1076#459—591no—
1077#459—591no—
1078#459C2×D5911yescharacteristic, complemented
1079#459C2×D5911yescharacteristic, complemented
1080#452—591no—
1081#450—591no—
1082#450—591no—
1083#450—591no—
1084#450—591no—
1085#449—591no—
1086#449—591no—
1087#449—591no—
1088#449—591no—
1089#449—591no—
1090#447—591no—
1091#447—591no—
1092#447—591no—
1093#447—591no—
1094#447—591no—
1095#447—591no—
1096#447—591no—
1097#447—591no—
1098#446—591no—
1099#446—591no—
1100#442—591no—
1101#442—591no—
1102#442—591no—
1103#442—591no—
1104#442—591no—
1105#440—591no—
1106#440—591no—
1107#440—591no—
1108C4×SD16—591no—
1109C4×D8—591no—
1110C4×D8—591no—
1111C4×D8—591no—
1112#435—591no—
1113#435—591no—
1114#435—591no—
1115#435—591no—
1116C8×D4—591no—
1117C8×D4—591no—
1118#433—591no—
1119#433—591no—
1120#432—591no—
1121#424—591no—
1122#424C2×D5911yescharacteristic, complemented
1123C2×C4⋊C8—591no—
1124#418—591no—
1125#417C2×D5911yescharacteristic, complemented
1126#416—591no—
1127C2×#102—591no—
1128C2×#102—591no—
1129C2×#102C2×D5911yescharacteristic, complemented
1130C59#6200711yescharacteristic, complemented, Sylow
1131C2×#41—591no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41C22×D5911yescharacteristic
1135C2×#41C22×D5911yescharacteristic
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—1181no—
1142C22×D4—1181no—
1143C22×D4—1181no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4C22×D5911yescharacteristic
1148C23×C4—1181no—
1149AGL(1,ℤ/8)—42no—
1150AGL(1,ℤ/8)—2362no—
1151#135—42no—
1152C2×Q16C22×D5911yescharacteristic
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16C22×D5911yescharacteristic
1158C2×SD16C22×D5911yescharacteristic
1159C2×SD16C22×D5911yescharacteristic
1160C2×SD16C22×D5911yescharacteristic
1161C2×D8—591no—
1162C2×D8—591no—
1163C2×D8—591no—
1164C2×D8—591no—
1165C2×D8—591no—
1166C2×D8—591no—
1167C2×D8—591no—
1168C2×D8—591no—
1169C2×D8—591no—
1170C2×D8—591no—
1171C2×D8—591no—
1172C2×D8—591no—
1173C2×D8—2362no—
1174C2×D8—2362no—
1175C2×D8—2362no—
1176C2×D8C22×D5911yescharacteristic
1177C2×D8C22×D5911yescharacteristic
1178C2×D8C22×D5911yescharacteristic
1179C2×M16—591no—
1180C2×M16C22×D5911yescharacteristic
1181C22×C8—591no—
1182C22×C8—591no—
1183C22×C8—591no—
1184C22×C8C22×D5911yescharacteristic
1185C4⋊Q8—591no—
1186#127—591no—
1187#127—591no—
1188#127—591no—
1189#127—591no—
1190#127—591no—
1191#127—1181no—
1192#127—1181no—
1193#127—1181no—
1194#127C22×D5911yescharacteristic
1195#127C22×D5911yescharacteristic
1196#126—591no—
1197#126—591no—
1198#126—1181no—
1199#126—1181no—
1200#126—1181no—
1201#126—1181no—
1202#126—1181no—
1203#125—591no—
1204#125—591no—
1205#125—591no—
1206#125—591no—
1207#125—1181no—
1208#124—591no—
1209#124—591no—
1210#124—591no—
1211#124—591no—
1212#124—1181no—
1213#124—1181no—
1214#124—1181no—
1215#124C22×D5911yescharacteristic
1216#124C22×D5911yescharacteristic
1217#123—591no—
1218#123—591no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—591no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249#121—21no—
1250#121—21no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#120—21no—
1284#120—21no—
1285#120—1181no—
1286#120—1181no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290#120—1181no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299C4×Q8—591no—
1300C4×Q8—591no—
1301C4×Q8C22×D5911yescharacteristic
1302C4×Q8C22×D5911yescharacteristic
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—591no—
1306C4×D4—591no—
1307C4×D4—591no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—591no—
1311C4×D4—591no—
1312C4×D4—591no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4C22×D5911yescharacteristic
1330C4×D4C22×D5911yescharacteristic
1331#117—21no—
1332#117—591no—
1333#117—591no—
1334#117—1181no—
1335#117—1181no—
1336#117—1181no—
1337#117C22×D5911yescharacteristic
1338C2×C4⋊C4—21no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—1181no—
1341C2×C4⋊C4C22×D5911yescharacteristic
1342C2×C22⋊C4—1181no—
1343C2×C22⋊C4—1181no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C22⋊C4—1181no—
1347C2×C22⋊C4—1181no—
1348C2×C22⋊C4—1181no—
1349C2×C42—591no—
1350#107—591no—
1351#107—591no—
1352#107—591no—
1353#107—591no—
1354#106—591no—
1355#106—591no—
1356#106—591no—
1357#106—591no—
1358C4⋊C8—591no—
1359C4⋊C8—591no—
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8—591no—
1364C4⋊C8C22×D5911yescharacteristic
1365C4⋊C8C22×D5911yescharacteristic
1366C4⋊C8C22×D5911yescharacteristic
1367C4⋊C8C22×D5911yescharacteristic
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102C22×D5911yescharacteristic
1395#102C22×D5911yescharacteristic
1396#102C22×D5911yescharacteristic
1397#102C22×D5911yescharacteristic
1398#102C22×D5911yescharacteristic
1399#102C22×D5911yescharacteristic
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8—591no—
1403C22⋊C8—591no—
1404C22⋊C8—591no—
1405C22⋊C8—591no—
1406#97—591no—
1407#97—591no—
1408#97—591no—
1409#97—591no—
1410C4×C8—591no—
1411C4×C8—591no—
1412C24—21no—
1413C24—1181no—
1414C24—1181no—
1415C24—1181no—
1416C24—1181no—
1417C24—1181no—
1418#41—22no—
1419#41—41no—
1420#41—41no—
1421#41—41no—
1422#41—4722no—
1423#41—4722no—
1424#41—2361no—
1425#41—2361no—
1426C2×Q8—591no—
1427C2×Q8—1181no—
1428C2×Q8C23×D5911yescharacteristic
1429C2×Q8C23×D5911yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—591no—
1440C2×D4—591no—
1441C2×D4—591no—
1442C2×D4—591no—
1443C2×D4—591no—
1444C2×D4—591no—
1445C2×D4—591no—
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—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1182no—
1461C2×D4—1182no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—4722no—
1474C2×D4—4722no—
1475C2×D4—4722no—
1476C2×D4—4722no—
1477C2×D4—4722no—
1478C2×D4—4722no—
1479C2×D4—2361no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2361no—
1483C2×D4—2361no—
1484C2×D4—2361no—
1485C2×D4—2361no—
1486C2×D4—2361no—
1487C2×D4C23×D5911yescharacteristic
1488C2×D4C23×D5911yescharacteristic
1489C2×D4C23×D5911yescharacteristic
1490C2×D4C23×D5911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—591no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—4722no—
1514C22×C4C23×D5911yescharacteristic
1515Q16—41no—
1516SD16—22no—
1517SD16—41no—
1518SD16—41no—
1519SD16—41no—
1520SD16—2361no—
1521SD16—2361no—
1522SD16—2361no—
1523SD16—2361no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—1182no—
1528D8—1182no—
1529D8—2361no—
1530D8—2361no—
1531D8—2361no—
1532D8—2361no—
1533D8—2361no—
1534D8—2361no—
1535D8—2361no—
1536D8—2361no—
1537D8—2361no—
1538D8—2361no—
1539M16—41no—
1540M16—2361no—
1541C2×C8—41no—
1542C2×C8—591no—
1543C2×C8—591no—
1544C2×C8—591no—
1545C2×C8—591no—
1546C2×C8—2361no—
1547C2×C8—2361no—
1548C2×C8—2361no—
1549C2×C8C23×D5911yescharacteristic
1550C2×C8C23×D5911yescharacteristic
1551C2×C8C23×D5911yescharacteristic
1552C2×C8C23×D5911yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—591no—
1565C4⋊C4—591no—
1566C4⋊C4—591no—
1567C4⋊C4—591no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4D4×D5911yescharacteristic
1581C4⋊C4D4×D5911yescharacteristic
1582C4⋊C4C23×D5911yescharacteristic
1583C4⋊C4C23×D5911yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—591no—
1591C22⋊C4—591no—
1592C22⋊C4—591no—
1593C22⋊C4—591no—
1594C22⋊C4—591no—
1595C22⋊C4—591no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4D4×D5911yescharacteristic
1629C22⋊C4D4×D5911yescharacteristic
1630C42—21no—
1631C42—21no—
1632C42—591no—
1633C42—591no—
1634C42—591no—
1635C42—591no—
1636C42—1181no—
1637C42—1181no—
1638C42C23×D5911yescharacteristic
1639C42C23×D5911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—81no—
1645C23—81no—
1646C23—81no—
1647C23—591no—
1648C23—591no—
1649C23—1181no—
1650C23—1181no—
1651C23—1181no—
1652C23—1181no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—4721no—
1657C23—4721no—
1658C23—4721no—
1659C23—4721no—
1660C23—4721no—
1661C23—4721no—
1662C23—4721no—
1663C23—2362no—
1664C23—2362no—
1665C23—2362no—
1666C23—2362no—
1667C23—2362no—
1668C23C2×D4×D5911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—4721no—
1674Q8—2361no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—1182no—
1690D4—1182no—
1691D4—1181no—
1692D4—1181no—
1693D4—1181no—
1694D4—1181no—
1695D4—1181no—
1696D4—1181no—
1697D4—1181no—
1698D4—1181no—
1699D4—4721no—
1700D4—4721no—
1701D4—4721no—
1702D4—4721no—
1703D4—4721no—
1704D4—4721no—
1705D4—4721no—
1706D4—4721no—
1707D4—4721no—
1708D4—4721no—
1709D4—4721no—
1710D4—4721no—
1711D4—4721no—
1712D4—4721no—
1713D4—4721no—
1714D4—4721no—
1715D4—4721no—
1716D4—4721no—
1717D4—4721no—
1718D4—2362no—
1719D4—2361no—
1720D4—2362no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724D4—2362no—
1725D4#1427377212yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—42no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—591no—
1738C2×C4—591no—
1739C2×C4—591no—
1740C2×C4—591no—
1741C2×C4—591no—
1742C2×C4—591no—
1743C2×C4—1182no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—4721no—
1753C2×C4—4721no—
1754C2×C4—4721no—
1755C2×C4—4721no—
1756C2×C4—4721no—
1757C2×C4—4721no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—4721no—
1763C2×C4—2361no—
1764C2×C4—2362no—
1765C2×C4—2362no—
1766C2×C4C2×D4×D5911yescharacteristic
1767C2×C4C2×D4×D5911yescharacteristic
1768C2×C4C2×D4×D5911yescharacteristic
1769C2×C4C2×D4×D5911yescharacteristic
1770C2×C4C2×D4×D5911yescharacteristic
1771C2×C4C24×D5911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1181no—
1777C8—1181no—
1778C8—1181no—
1779C8—1181no—
1780C22—21no—
1781C22—22no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—162no—
1796C22—592no—
1797C22—1181no—
1798C22—1181no—
1799C22—1181no—
1800C22—1181no—
1801C22—1181no—
1802C22—9442no—
1803C22—9442no—
1804C22—9442no—
1805C22—9442no—
1806C22—4724no—
1807C22—2361no—
1808C22—2361no—
1809C22—2361no—
1810C22—2361no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22C22×D4×D5911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—1181no—
1830C4—1181no—
1831C4—1181no—
1832C4—1181no—
1833C4—1181no—
1834C4—1181no—
1835C4—2361no—
1836C4—2361no—
1837C4—2361no—
1838C4—2361no—
1839C4C2×#1427377211yescharacteristic
1840C4#1683823811yescharacteristic
1841C2—41no—
1842C2—42no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—1182no—
1847C2—4721no—
1848C2—4721no—
1849C2—4721no—
1850C2—4721no—
1851C2—2361no—
1852C2#2143776111yescharacteristic
1853C2#576×D5911yescharacteristic
1854C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3045C2
socleC22×C59C23×D4
hypercenter#3045D59
hypocenterC59#62007
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3045

Complements

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

NH ≅ G/Ntype
1. #21438422C2semidirect
2. #21438038C2semidirect
3. #21437183C2semidirect
4. #21437137C2semidirect
5. #21436853C2semidirect
6. #21436798C2semidirect
7. #21436233C2semidirect
8. #21436124C2semidirect
9. #21436103C2semidirect
10. #21436058C2semidirect
11. #21435938C2semidirect
12. #21435905C2semidirect
13. #21435775C2semidirect
14. #21435768C2semidirect
15. #21435636C2semidirect
16. #21435582C2semidirect
17. #21435570C2semidirect
18. #21435570C2semidirect
19. #21435535C2semidirect
20. #21435505C2semidirect
21. #21435446C2semidirect
22. #21435197C2semidirect
23. #21435146C2semidirect
24. #21435118C2semidirect
25. #21434337C2semidirect
26. #21434295C2semidirect
27. #21434233C2semidirect
28. #21433597C2semidirect
29. #459×D59C2semidirect
30. #21433233C2semidirect
31. C59×#3045C2semidirect
32. C2×#14273754C22semidirect
33. C2×D8×D59C22semidirect
34. C2×D8×D59C22semidirect
35. C2×D8×D59C22semidirect
38. #16838137C22semidirect
39. #16838134C22semidirect
40. #16838111C22semidirect
42. #16838100C22semidirect
43. #16838093C22semidirect
46. #16838072C22semidirect
47. #16838071C22semidirect
48. #16838053C22semidirect
52. #16838040C22semidirect
53. #16838040C22semidirect
54. #16838040C22semidirect
55. D4×D236C22semidirect
57. D4×C22⋊D59C22semidirect
58. D4×C22⋊D59C22semidirect
60. #16838024C22semidirect
61. #16838007C22semidirect
62. #16838007C22semidirect
63. #16838006C22semidirect
67. #16837970C22semidirect
71. #127×D59C22semidirect
72. #16837939C22semidirect
73. #16837931C22semidirect
77. #16837874C22semidirect
78. C4×D4×D59C22semidirect
79. #16837792C22semidirect
80. #16837788C22semidirect
81. #16837788C22semidirect
82. #16837788C22semidirect
83. #16837787C22semidirect
84. #16837778C22semidirect
85. #16837766C22semidirect
86. #16837765C22semidirect
87. #16837765C22semidirect
88. #16837763C22semidirect
89. #16837756C22semidirect
90. #16837747C22semidirect
91. #16837731C22semidirect
92. #16837725C22semidirect
93. #16837724C22semidirect
94. #16837720C22semidirect
95. #16837715C22semidirect
96. #16837714C22semidirect
97. #16837709C22semidirect
98. #16837707C22semidirect
99. #16837703C22semidirect
100. #16837703C22semidirect
101. #16837703C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837690C22semidirect
106. #16837680C22semidirect
107. #16837655C22semidirect
108. #16837655C22semidirect
109. #16837654C22semidirect
110. #16837645C22semidirect
111. #16837640C22semidirect
112. #16837638C22semidirect
113. #16837638C22semidirect
115. #16837637C22semidirect
116. #16837634C22semidirect
117. #16837628C22semidirect
118. #16837628C22semidirect
119. #16837626C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837614C22semidirect
126. #16837614C22semidirect
127. #16837602C22semidirect
128. #16837598C22semidirect
129. #16837598C22semidirect
130. #16837598C22semidirect
131. #16837598C22semidirect
132. #16837597C22semidirect
133. #16837596C22semidirect
134. #16837596C22semidirect
135. #16837596C22semidirect
137. #16837595C22semidirect
138. #16837595C22semidirect
139. #16837594C22semidirect
140. #16837594C22semidirect
141. #16837563C22semidirect
142. #16837551C22semidirect
143. #16837551C22semidirect
144. #16837551C22semidirect
145. #16837551C22semidirect
146. #16837550C22semidirect
147. #16837547C22semidirect
148. #16837547C22semidirect
149. #16837547C22semidirect
150. #16837547C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837536C22semidirect
155. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837531C22semidirect
160. #16837529C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837512C22semidirect
164. #16837511C22semidirect
165. #16837511C22semidirect
166. #16837505C22semidirect
167. #16837503C22semidirect
168. #16837500C22semidirect
169. C4×#11745671C22semidirect
170. D8×Dic59C22semidirect
171. C4×#11745669C22semidirect
172. #16837482C22semidirect
173. #16837473C22semidirect
174. #16837472C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837467C22semidirect
178. C8×C22⋊D59C22semidirect
179. #16837463C22semidirect
180. #16837462C22semidirect
181. #16837458C22semidirect
182. #16837427C22semidirect
183. C4⋊C8×D59C22semidirect
184. #16837405C22semidirect
185. #16837397C22semidirect
186. #102×D59C22semidirect
187. #102×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#535C22semidirect
191. C59×#520C22semidirect
192. C59×#464C22semidirect
193. C59×#464C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#460C22semidirect
198. C59×#459C22semidirect
199. C59×#459C22semidirect
200. C59×#424C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
941. #3045D59semidirect
960. C2×AGL(1,ℤ/8)C2×D59semidirect
961. C2×#135C2×D59semidirect
998. #535C2×D59semidirect
1007. #520C2×D59semidirect
1051. #464C2×D59semidirect
1052. #464C2×D59semidirect
1060. #463C2×D59semidirect
1061. #463C2×D59semidirect
1063. #460C2×D59semidirect
1064. #460C2×D59semidirect
1078. #459C2×D59semidirect
1079. #459C2×D59semidirect
1122. #424C2×D59semidirect
1125. #417C2×D59semidirect
1129. C2×#102C2×D59semidirect
1130. C59#62007semidirect

Maximal subgroups

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

subgroupindex
#214384222
#214380382
#214371832
#214371372
#214368532
#214367982
#214362332
#214361242
#214361032
#214360582
#214359382
#214359052
#214357752
#214357682
#214356362
#214355822
#214355702
#214355352
#214355052
#214354462
#214351972
#214351462
#214351182
#214343372
#214342952
#214342332
#214335972
#459×D592
#214332332
C59×#30452
#6200759