Finite Group Databasebeta

← #29482207

Subgroups — #29482207

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#21438613C211yesmaximal, characteristic, complemented
2#21438115C211yesmaximal, characteristic, complemented
3#21437137C211yesmaximal, characteristic, complemented
4#21437135C211yesmaximal, characteristic, complemented
5#21436853C211yesmaximal, characteristic, complemented
6#21436850C211yesmaximal, characteristic, complemented
7#21436256C211yesmaximal, characteristic, complemented
8#21436247C211yesmaximal, characteristic, complemented
9#21436243C211yesmaximal, characteristic, complemented
10#21436239C211yesmaximal, characteristic, complemented
11#21436002C211yesmaximal, characteristic, complemented
12#21435998C211yesmaximal, characteristic, complemented
13D4×#11745669C211yesmaximal, characteristic, complemented
14#21435766C211yesmaximal, characteristic, complemented
15#21435591C211yesmaximal, characteristic, complemented
16#21435580C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435505C211yesmaximal, characteristic, complemented
19#21435502C211yesmaximal, characteristic, complemented
20#21435402C211yesmaximal, characteristic, complemented
21#21435144C211yesmaximal, characteristic, complemented
22#21435141C211yesmaximal, characteristic, complemented
23#21435082C211yesmaximal, characteristic, complemented
24#21434284C211yesmaximal, characteristic, complemented
25#21434281C211yesmaximal, characteristic, complemented
26#21434182C211yesmaximal, characteristic, complemented
27#21433601C211yesmaximal, characteristic, complemented
28#21433597C211yesmaximal, characteristic, complemented
29C2×#16837619C211yesmaximal, characteristic, complemented
30#21433236C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic, complemented
33C22×#11745669C2211yescharacteristic
34C22×#11745669C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic, complemented
36#16838148—21no—
37#16838144—21no—
38#16838137C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic, complemented
41#16838111C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic, complemented
44#16838095—21no—
45#16838072C2211yescharacteristic, complemented
46#16838063C2211yescharacteristic, complemented
47#16838047—21no—
48#16838046—21no—
49#16838043C2211yescharacteristic, complemented
50#16838041—21no—
51#16838040C2211yescharacteristic, complemented
52#16838039—21no—
53#16838039—21no—
54D4×D236C2211yescharacteristic, complemented
55#16838036C2211yescharacteristic, complemented
56D4×C22⋊D59C2211yescharacteristic, complemented
57D4×C22⋊D59C2211yescharacteristic, complemented
58#16838025C2211yescharacteristic, complemented
59#16838024C2211yescharacteristic, complemented
60#16838006C2211yescharacteristic, complemented
61#16838005C2211yescharacteristic, complemented
62#16837992—21no—
63#16837989—21no—
64#16837987—21no—
65#16837986—21no—
66#16837985—21no—
67#16837970C2211yescharacteristic, complemented
68#16837966C2211yescharacteristic, complemented
69#16837960—21no—
70#16837947C2211yescharacteristic, complemented
71#16837947C2211yescharacteristic, complemented
72#16837932C2211yescharacteristic
73C2×#14273716C2211yescharacteristic, complemented
74#16837908—21no—
75C2×#14273699—21no—
76#16837877C2211yescharacteristic, complemented
77#16837874C2211yescharacteristic, complemented
78C2×D4×Dic59C2211yescharacteristic, complemented
79#16837788C2211yescharacteristic, complemented
80#16837788C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837778C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837718C2211yescharacteristic, complemented
96#16837709C2211yescharacteristic, complemented
97#16837707C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837645C2211yescharacteristic, complemented
109#16837638C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837620C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837619C2211yescharacteristic, complemented
119#16837619C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837619C2211yescharacteristic, complemented
129#16837619C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837598C2211yescharacteristic, complemented
133#16837597C2211yescharacteristic
134#16837596C2211yescharacteristic, complemented
135#16837596C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic
138#16837595C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837547C2211yescharacteristic, complemented
146#16837546C2211yescharacteristic, complemented
147#16837546C2211yescharacteristic, complemented
148#16837541C2211yescharacteristic, complemented
149#16837538C2211yescharacteristic, complemented
150#16837538C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic
152#16837536C2211yescharacteristic
153#16837536C2211yescharacteristic, complemented
154#16837535C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837529C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168C4×#11745671C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174D4×C59⋊C8C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837398C2211yescharacteristic, complemented
185#16837397C2211yescharacteristic, complemented
186C2×#14273651C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687—21no—
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×C22⋊D59—21no—
210C22×C22⋊D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C23×Dic59—21no—
216#14273754—42no—
217C2×#11745671C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×D472C2311yescharacteristic
220C2×D472C2311yescharacteristic
221C2×D472C2311yescharacteristic
222C2×#11745669—42no—
223C2×#11745669—42no—
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234D8×D59—42no—
235C2×#11745659C2311yescharacteristic
236C22×C59⋊C8C2311yescharacteristic
237C22×C59⋊C8C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239#14273726C2311yescharacteristic
240#14273726C2311yescharacteristic
241#14273724C2311yescharacteristic
242#14273723C2311yescharacteristic
243#14273723C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273723C2311yescharacteristic
246#14273722—21no—
247#14273722—21no—
248#14273722D411yescharacteristic
249#14273721—21no—
250#14273720—21no—
251#14273720D411yescharacteristic
252#14273719C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273717D411yescharacteristic
255#14273716—21no—
256#14273716—21no—
257#14273716—21no—
258#14273716C2311yescharacteristic
259#14273716C2311yescharacteristic
260#14273716C2311yescharacteristic
261#14273716C2311yescharacteristic
262#14273716C2311yescharacteristic
263#14273715—21no—
264#14273715—21no—
265#14273714—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713D411yescharacteristic
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273711—21no—
277#14273711—21no—
278#14273711—21no—
279#14273711D411yescharacteristic
280#14273710—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708D411yescharacteristic
288#14273707—21no—
289#14273706—21no—
290#14273705—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704D411yescharacteristic
294#14273703—21no—
295#14273703C2311yescharacteristic
296#14273702—21no—
297#14273702—21no—
298#14273702C2311yescharacteristic
299#14273701—21no—
300#14273701—21no—
301#14273701—21no—
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699D411yescharacteristic
323#14273698—21no—
324#14273698—21no—
325#14273698C2311yescharacteristic
326#14273698C2311yescharacteristic
327#14273697—21no—
328#14273697—21no—
329#14273697—21no—
330#14273697—21no—
331#14273697—21no—
332#14273697—21no—
333#14273696—21no—
334#14273696—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341Q8×Dic59C2311yescharacteristic
342C4×Dic118C2311yescharacteristic
343C4×D236—21no—
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59C2311yescharacteristic
365C4×C22⋊D59C2311yescharacteristic
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371#14273686C2311yescharacteristic
372#14273686C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273684C2311yescharacteristic
375#14273683—21no—
376C2×C4⋊Dic59C2311yescharacteristic
377C2×Dic59⋊C4—21no—
378C2×C22⋊Dic59—21no—
379C2×C22⋊Dic59—21no—
380C2×C22⋊Dic59—21no—
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—
387C2×C4×Dic59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×Q8×C59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445C2×SD16×C59—42no—
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457#127×C59C2311yescharacteristic
458#124×C59—21no—
459#124×C59C2311yescharacteristic
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468#120×C59—21no—
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59—21no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—22no—
498C2×D4×C59—22no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—41no—
508C2×D4×C59—41no—
509C2×D4×C59—82no—
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
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—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—82no—
537C2×C22⋊D59—82no—
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—82no—
550C22×Dic59C2×D411yescharacteristic
551C22×Dic59C2×D411yescharacteristic
552#11745689—41no—
553#11745689—41no—
554#11745687—82no—
555#11745687—82no—
556#11745687—82no—
557D4×D59—22no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—82no—
562D4×D59—82no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—41no—
570C2×D236—41no—
571C2×D236—41no—
572C2×D236—41no—
573C2×D236C2411yescharacteristic
574C2×D236C2411yescharacteristic
575C2×D236C2411yescharacteristic
576C2×D236C2411yescharacteristic
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59C2411yescharacteristic
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118C2×D411yescharacteristic
587SD16×C59—22no—
588SD16×C59—22no—
589SD16×C59—41no—
590SD16×C59—41no—
591SD16×C59—41no—
592SD16×C59—41no—
593D8×C59—22no—
594D8×C59—41no—
595D8×C59—41no—
596M16×C59—41no—
597C2×C8×C59—41no—
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C2×C8×C59C2411yescharacteristic
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59C2×D411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C22⋊C4×C59—21no—
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×C59C2411yescharacteristic
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
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⋊Dic59—21no—
629C22⋊Dic59C2×D411yescharacteristic
630C22⋊Dic59C2×D411yescharacteristic
631C22⋊Dic59C2×D411yescharacteristic
632C22⋊Dic59C2×D411yescharacteristic
633#11745671—41no—
634#11745671—41no—
635#11745669—22no—
636#11745669—22no—
637#11745669—22no—
638#11745669—41no—
639#11745669—41no—
640#11745669—41no—
641#11745669—41no—
642#11745669—41no—
643#11745669—41no—
644#11745669—41no—
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)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59C2×D411yescharacteristic
675C4⋊Dic59C2×D411yescharacteristic
676C4⋊Dic59C2×D411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59C2×D411yescharacteristic
697C4×Dic59C2×D411yescharacteristic
698C4×Dic59C2411yescharacteristic
699C4×Dic59C2411yescharacteristic
700C4×Dic59C2411yescharacteristic
701C2×C59⋊C8—41no—
702C2×C59⋊C8—41no—
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C2×C59⋊C8C2411yescharacteristic
707D472—41no—
708D472—41no—
709D472—41no—
710#11745659—41no—
711C8×D59—41no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—21no—
715C23×C59—21no—
716C23×C59—42no—
717C23×C59—42no—
718C23×C59—42no—
719C23×C59—81no—
720C23×C59—81no—
721C23×C59—81no—
722C23×C59C22×D411yescharacteristic
723C23×C59C22×D411yescharacteristic
724C22×D59—21no—
725C22×D59—21no—
726C22×D59—21no—
727C22×D59—21no—
728C22×D59—42no—
729C22×D59—42no—
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×D59—81no—
740C22×D59C22×D411yescharacteristic
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—21no—
745Q8×C59—81no—
746D4×C59—22no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—21no—
754D4×C59—42no—
755D4×C59—42no—
756D4×C59—42no—
757D4×C59—42no—
758D4×C59—81no—
759D4×C59—81no—
760D4×C59—81no—
761D4×C59—81no—
762D4×C59H(5,𝔽2)12yes—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—81no—
772C2×C4×C59—81no—
773C2×C4×C59—81no—
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C2511yescharacteristic
779C22⋊D59—22no—
780C22⋊D59—41no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
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—22no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—41no—
803C2×Dic59—42no—
804C2×Dic59—42no—
805C2×Dic59—81no—
806C2×Dic59—81no—
807C2×Dic59—81no—
808C2×Dic59—81no—
809C2×Dic59—81no—
810C2×Dic59—81no—
811C2×Dic59—81no—
812C2×Dic59C22×D411yescharacteristic
813C2×Dic59C22×D411yescharacteristic
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819D236—21no—
820D236—21no—
821D236—21no—
822D236—21no—
823D236—21no—
824D236—21no—
825D236—21no—
826D236—21no—
827D236—81no—
828D236—81no—
829D236—81no—
830D236—81no—
831D236—81no—
832D236—81no—
833C4×D59—21no—
834C4×D59—21no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840C4×D59—81no—
841Dic118—41no—
842Dic118—81no—
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#62015—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—22no—
857C22×C59—21no—
858C22×C59—21no—
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—41no—
869C22×C59—41no—
870C22×C59—84no—
871C22×C59—162no—
872C22×C59#57612yes—
873C22×C59C23×D411yescharacteristic
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
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—41no—
888C2×D59—41no—
889C2×D59—162no—
890C2×D59—162no—
891C2×D59—162no—
892C2×D59—162no—
893C4×C59—21no—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—41no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59C2×H(5,𝔽2)11yescharacteristic
902C4×C59#58511yescharacteristic
903Dic59—21no—
904Dic59—21no—
905Dic59—21no—
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—21no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914#3558—591no—
915#3519—591no—
916#3399—591no—
917#3399—591no—
918#3370—591no—
919#3370—591no—
920#3319—591no—
921#3319—591no—
922#3318—591no—
923#3318—591no—
924#3301—591no—
925#3301—591no—
926D4×D8—591no—
927D4×D8—591no—
928#3265—591no—
929#3265D5911yescharacteristic, complemented
930#3264—591no—
931#3264—591no—
932#3257—591no—
933#3257—591no—
934#3245—591no—
935#3220—591no—
936#3220—591no—
937#3213—591no—
938#3118—591no—
939#3118—591no—
940#3109—591no—
941#3041—591no—
942#3041—591no—
943C2×#463—591no—
944#2992—591no—
945C2×C59—22no—
946C2×C59—41no—
947C2×C59—42no—
948C2×C59—81no—
949C2×C59—81no—
950C2×C59—81no—
951C2×C59#348811yescharacteristic
952C2×C59C2×#57611yescharacteristic
953C2×C59#358511yescharacteristic
954D59—41no—
955D59—81no—
956D59—81no—
957D59—81no—
958D59—81no—
959C2×AGL(1,ℤ/8)—591no—
960C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
961C22×SD16C2×D5911yescharacteristic, complemented
962C22×D8—591no—
963C22×D8—591no—
964C22×D8—591no—
965#562—1181no—
966H(3,𝔽4)—1181no—
967#559—591no—
968#559—591no—
969#555—591no—
970#554—591no—
971#553—591no—
972#553—591no—
973#553—1181no—
974#550—591no—
975#548—591no—
976#548C2×D5911yescharacteristic, complemented
977#546—591no—
978#546—591no—
979#546—1181no—
980#546—1181no—
981#546—1181no—
982#546—1181no—
983#546—1181no—
984D42—591no—
985D42—591no—
986D42—591no—
987D42—591no—
988D42C2×D5911yescharacteristic, complemented
989#542—591no—
990#542—591no—
991#540—591no—
992#540—591no—
993#538—1181no—
994#538—1181no—
995#538—1181no—
996#538—1181no—
997#538—1181no—
998#535—591no—
999#535—591no—
1000#534—1181no—
1001#532—591no—
1002#532—591no—
1003#529—591no—
1004C2×#124—591no—
1005#525—1181no—
1006C2×#121—1181no—
1007#518—591no—
1008#518—591no—
1009C2×C4×D4—591no—
1010#496—591no—
1011#496—591no—
1012#496—591no—
1013#496C2×D5911yescharacteristic, complemented
1014#493—591no—
1015#493—591no—
1016#490—591no—
1017#490—591no—
1018#489—591no—
1019#489—591no—
1020#488—591no—
1021#488—591no—
1022#485—591no—
1023#485—591no—
1024#482—591no—
1025#482—591no—
1026#481—591no—
1027#481—591no—
1028#479—591no—
1029#479—591no—
1030#478—591no—
1031#478—591no—
1032#476—591no—
1033#476—591no—
1034#474—591no—
1035#474—591no—
1036#474—591no—
1037#474—591no—
1038#469—591no—
1039#469—591no—
1040#468—591no—
1041#468C2×D5911yescharacteristic, complemented
1042#466—591no—
1043#466—591no—
1044#466—591no—
1045#466—591no—
1046#466—591no—
1047#466C2×D5911yescharacteristic, complemented
1048#465—591no—
1049#465—591no—
1050#463—591no—
1051#463—591no—
1052#463—591no—
1053#463—591no—
1054#463—591no—
1055#463—591no—
1056#463—591no—
1057#463—591no—
1058#463—591no—
1059#463—591no—
1060#463—591no—
1061#463—591no—
1062#463—591no—
1063#463—591no—
1064#463—591no—
1065#463C2×D5911yescharacteristic, complemented
1066#460—591no—
1067#460C2×D5911yescharacteristic, complemented
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#459—591no—
1079#459—591no—
1080#450—591no—
1081#450C2×D5911yescharacteristic, complemented
1082#449—591no—
1083#449—591no—
1084#449—591no—
1085#449C2×D5911yescharacteristic, complemented
1086#448—591no—
1087#448C2×D5911yescharacteristic, complemented
1088#447—591no—
1089#447—591no—
1090#447—591no—
1091#447—591no—
1092#447—591no—
1093#447—591no—
1094#447—591no—
1095#447—591no—
1096#447—591no—
1097#447C2×D5911yescharacteristic, complemented
1098#446—591no—
1099#446—591no—
1100#442—591no—
1101#442—591no—
1102#442—591no—
1103#442—591no—
1104#442—591no—
1105#442—591no—
1106#440—591no—
1107#440C2×D5911yescharacteristic, complemented
1108C4×SD16—591no—
1109C4×SD16—591no—
1110C4×D8—591no—
1111C4×D8—591no—
1112#435—591no—
1113#435—591no—
1114#435—591no—
1115#435C2×D5911yescharacteristic, complemented
1116C8×D4—591no—
1117C8×D4—591no—
1118#433—591no—
1119#433—591no—
1120#432—591no—
1121#424—591no—
1122#424—591no—
1123C2×C4⋊C8—591no—
1124#418—591no—
1125#418—591no—
1126#416—591no—
1127#416—591no—
1128C2×#103—591no—
1129C2×#102—591no—
1130C59#6201511yescharacteristic, complemented, Sylow
1131C2×#41—591no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41C22×D5911yescharacteristic
1136C22×Q8C22×D5911yescharacteristic
1137C22×D4—21no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—1181no—
1143C22×D4—1181no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4C22×D5911yescharacteristic
1147C22×D4C22×D5911yescharacteristic
1148C23×C4—1181no—
1149AGL(1,ℤ/8)—42no—
1150AGL(1,ℤ/8)—2362no—
1151C2×SD16—42no—
1152C2×SD16—591no—
1153C2×SD16—591no—
1154C2×SD16C22×D5911yescharacteristic
1155C2×SD16C22×D5911yescharacteristic
1156C2×SD16C22×D5911yescharacteristic
1157C2×SD16C22×D5911yescharacteristic
1158C2×SD16C22×D5911yescharacteristic
1159C2×SD16C22×D5911yescharacteristic
1160C2×D8—591no—
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—
1186C4⋊Q8—591no—
1187#127—591no—
1188#127—591no—
1189#127—591no—
1190#127—591no—
1191#127—591no—
1192#127C22×D5911yescharacteristic
1193#126—591no—
1194#126—591no—
1195#126—1181no—
1196#126—1181no—
1197#126—1181no—
1198#126—1181no—
1199#125—591no—
1200#125—591no—
1201#125—591no—
1202#124—21no—
1203#124—591no—
1204#124—591no—
1205#124—591no—
1206#124—591no—
1207#124—591no—
1208#124—591no—
1209#124—1181no—
1210#124—1181no—
1211#124—1181no—
1212#124—1181no—
1213#124—1181no—
1214#124—1181no—
1215#124—1181no—
1216#124—1181no—
1217#124—1181no—
1218#124—1181no—
1219#124—1181no—
1220#124C22×D5911yescharacteristic
1221#123—591no—
1222#123—591no—
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—
1237C22⋊Q8—21no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8C22×D5911yescharacteristic
1247#121—21no—
1248#121—21no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
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#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#121C22×D5911yescharacteristic
1281#121C22×D5911yescharacteristic
1282#121C22×D5911yescharacteristic
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×D4—21no—
1303C4×D4—591no—
1304C4×D4—591no—
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—1181no—
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×D4—1181no—
1330C4×D4—1181no—
1331C4×D4C22×D5911yescharacteristic
1332C4×D4C22×D5911yescharacteristic
1333#117—591no—
1334#117—591no—
1335#117—591no—
1336#117—591no—
1337#117—1181no—
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—1181no—
1340C2×C22⋊C4—1181no—
1341C2×C22⋊C4—1181no—
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#107C22×D5911yescharacteristic
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⋊C8—591no—
1365C4⋊C8—591no—
1366C4⋊C8—591no—
1367C4⋊C8C22×D5911yescharacteristic
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103C22×D5911yescharacteristic
1375#103C22×D5911yescharacteristic
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#102—591no—
1395#102—591no—
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⋊C8C22×D5911yescharacteristic
1405C22⋊C8C22×D5911yescharacteristic
1406#97—591no—
1407#97—591no—
1408#97—591no—
1409#97C22×D5911yescharacteristic
1410C4×C8—591no—
1411C4×C8—591no—
1412C24—21no—
1413C24—21no—
1414C24—1181no—
1415C24—1181no—
1416C24—1181no—
1417C24—1181no—
1418#41—41no—
1419#41—41no—
1420#41—4722no—
1421#41—4722no—
1422#41—4722no—
1423#41—2361no—
1424#41—2361no—
1425C2×Q8—21no—
1426C2×Q8—41no—
1427C2×Q8—41no—
1428C2×Q8—591no—
1429C2×Q8—1181no—
1430C2×Q8—1181no—
1431C2×Q8C23×D5911yescharacteristic
1432C2×Q8C23×D5911yescharacteristic
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—82no—
1446C2×D4—591no—
1447C2×D4—591no—
1448C2×D4—591no—
1449C2×D4—591no—
1450C2×D4—591no—
1451C2×D4—591no—
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—1181no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1182no—
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—1181no—
1474C2×D4—1181no—
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×D4D4×D5911yescharacteristic
1487C2×D4C23×D5911yescharacteristic
1488C2×D4C23×D5911yescharacteristic
1489C2×D4C23×D5911yescharacteristic
1490C2×D4C23×D5911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
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—4722no—
1513C22×C4C23×D5911yescharacteristic
1514C22×C4C23×D5911yescharacteristic
1515SD16—22no—
1516SD16—22no—
1517SD16—41no—
1518SD16—41no—
1519SD16—41no—
1520SD16—41no—
1521SD16—2361no—
1522SD16—2361no—
1523D8—22no—
1524D8—41no—
1525D8—41no—
1526D8—1182no—
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—591no—
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⋊C4D4×D5911yescharacteristic
1578C4⋊C4C23×D5911yescharacteristic
1579C4⋊C4C23×D5911yescharacteristic
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—591no—
1588C22⋊C4—591no—
1589C22⋊C4—591no—
1590C22⋊C4—591no—
1591C22⋊C4—591no—
1592C22⋊C4—591no—
1593C22⋊C4—591no—
1594C22⋊C4—591no—
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⋊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—591no—
1632C42—591no—
1633C42—591no—
1634C42—591no—
1635C42—591no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42C23×D5911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—42no—
1646C23—42no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—591no—
1651C23—1181no—
1652C23—1181no—
1653C23—1181no—
1654C23—1181no—
1655C23—4721no—
1656C23—4721no—
1657C23—4721no—
1658C23—4721no—
1659C23—4721no—
1660C23—4721no—
1661C23—4721no—
1662C23—4721no—
1663C23—4721no—
1664C23—4721no—
1665C23—2362no—
1666C23—2362no—
1667C23C2×D4×D5911yescharacteristic
1668C23C2×D4×D5911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—81no—
1674Q8—4721no—
1675Q8—4721no—
1676Q8—2361no—
1677D4—22no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—42no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—1182no—
1694D4—1181no—
1695D4—1181no—
1696D4—1181no—
1697D4—1181no—
1698D4—1181no—
1699D4—1181no—
1700D4—1181no—
1701D4—1181no—
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—4721no—
1719D4—4721no—
1720D4—2361no—
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—21no—
1733C2×C4—21no—
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—591no—
1744C2×C4—1182no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—4721no—
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—4721no—
1764C2×C4—2361no—
1765C2×C4—2362no—
1766C2×C4—2362no—
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—21no—
1782C22—21no—
1783C22—22no—
1784C22—21no—
1785C22—21no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—84no—
1798C22—162no—
1799C22—1181no—
1800C22—1181no—
1801C22—1181no—
1802C22—9442no—
1803C22—9442no—
1804C22—9442no—
1805C22—9442no—
1806C22—2361no—
1807C22—2361no—
1808C22—2361no—
1809C22—2361no—
1810C22—2361no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22#1683820612yes—
1819C22C22×D4×D5911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—1181no—
1829C4—1181no—
1830C4—1181no—
1831C4—1181no—
1832C4—1181no—
1833C4—1181no—
1834C4—1181no—
1835C4—2361no—
1836C4—2361no—
1837C4—2361no—
1838C4—2361no—
1839C4C2×#1427377211yescharacteristic
1840C4#1683823711yescharacteristic
1841C2—22no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—4721no—
1848C2—4721no—
1849C2—4721no—
1850C2—4721no—
1851C2—2361no—
1852C2#2143775611yescharacteristic
1853C2C2×#1683820611yescharacteristic
1854C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#62015
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21438613C2semidirect
2. #21438115C2semidirect
3. #21437137C2semidirect
4. #21437135C2semidirect
5. #21436853C2semidirect
6. #21436850C2semidirect
7. #21436256C2semidirect
8. #21436247C2semidirect
9. #21436243C2semidirect
10. #21436239C2semidirect
11. #21436002C2semidirect
12. #21435998C2semidirect
13. D4×#11745669C2semidirect
14. #21435766C2semidirect
15. #21435591C2semidirect
16. #21435580C2semidirect
17. #21435570C2semidirect
18. #21435505C2semidirect
19. #21435502C2semidirect
20. #21435402C2semidirect
21. #21435144C2semidirect
22. #21435141C2semidirect
23. #21435082C2semidirect
24. #21434284C2semidirect
25. #21434281C2semidirect
26. #21434182C2semidirect
27. #21433601C2semidirect
28. #21433597C2semidirect
29. C2×#16837619C2semidirect
30. #21433236C2semidirect
31. C59×#3265C2semidirect
32. C2×#14273754C22semidirect
34. C22×#11745669C22semidirect
35. C2×D8×D59C22semidirect
38. #16838137C22semidirect
39. #16838134C22semidirect
40. #16838116C22semidirect
41. #16838111C22semidirect
42. #16838104C22semidirect
43. #16838098C22semidirect
45. #16838072C22semidirect
46. #16838063C22semidirect
49. #16838043C22semidirect
51. #16838040C22semidirect
54. D4×D236C22semidirect
55. #16838036C22semidirect
56. D4×C22⋊D59C22semidirect
57. D4×C22⋊D59C22semidirect
58. #16838025C22semidirect
59. #16838024C22semidirect
60. #16838006C22semidirect
61. #16838005C22semidirect
67. #16837970C22semidirect
68. #16837966C22semidirect
70. #16837947C22semidirect
71. #16837947C22semidirect
73. C2×#14273716C22semidirect
76. #16837877C22semidirect
77. #16837874C22semidirect
78. C2×D4×Dic59C22semidirect
79. #16837788C22semidirect
80. #16837788C22semidirect
81. #16837788C22semidirect
82. #16837778C22semidirect
83. #16837777C22semidirect
84. #16837767C22semidirect
85. #16837765C22semidirect
86. #16837763C22semidirect
87. #16837763C22semidirect
88. #16837758C22semidirect
89. #16837756C22semidirect
90. #16837741C22semidirect
91. #16837740C22semidirect
92. #16837729C22semidirect
93. #16837727C22semidirect
94. #16837721C22semidirect
95. #16837718C22semidirect
96. #16837709C22semidirect
97. #16837707C22semidirect
98. #16837705C22semidirect
99. #16837703C22semidirect
100. #16837690C22semidirect
101. #16837690C22semidirect
102. #16837681C22semidirect
103. #16837681C22semidirect
104. #16837680C22semidirect
105. #16837680C22semidirect
106. #16837655C22semidirect
107. #16837654C22semidirect
108. #16837645C22semidirect
109. #16837638C22semidirect
110. #16837637C22semidirect
111. #16837636C22semidirect
112. #16837636C22semidirect
113. #16837636C22semidirect
114. #16837633C22semidirect
115. #16837628C22semidirect
116. #16837620C22semidirect
117. #16837620C22semidirect
118. #16837619C22semidirect
119. #16837619C22semidirect
120. #16837619C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
126. #16837619C22semidirect
127. #16837619C22semidirect
128. #16837619C22semidirect
129. #16837619C22semidirect
130. #16837614C22semidirect
131. #16837600C22semidirect
132. #16837598C22semidirect
134. #16837596C22semidirect
135. #16837596C22semidirect
136. #16837596C22semidirect
138. #16837595C22semidirect
139. #16837595C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
144. #16837551C22semidirect
145. #16837547C22semidirect
146. #16837546C22semidirect
147. #16837546C22semidirect
148. #16837541C22semidirect
149. #16837538C22semidirect
150. #16837538C22semidirect
153. #16837536C22semidirect
154. #16837535C22semidirect
155. #16837535C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837530C22semidirect
159. #16837529C22semidirect
160. #16837515C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837511C22semidirect
164. #16837511C22semidirect
165. #16837511C22semidirect
166. #16837503C22semidirect
167. SD16×Dic59C22semidirect
168. C4×#11745671C22semidirect
169. C4×#11745669C22semidirect
170. #16837482C22semidirect
171. #16837473C22semidirect
172. #16837471C22semidirect
173. #16837470C22semidirect
174. D4×C59⋊C8C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837464C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837430C22semidirect
180. #16837427C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837408C22semidirect
183. #16837405C22semidirect
184. #16837398C22semidirect
185. #16837397C22semidirect
186. C2×#14273651C22semidirect
187. C2×#14273649C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. C59×#548C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
929. #3265D59semidirect
960. C2×AGL(1,ℤ/8)C2×D59semidirect
961. C22×SD16C2×D59semidirect
976. #548C2×D59semidirect
988. D42C2×D59semidirect
1013. #496C2×D59semidirect
1041. #468C2×D59semidirect
1047. #466C2×D59semidirect
1065. #463C2×D59semidirect
1067. #460C2×D59semidirect
1081. #450C2×D59semidirect
1085. #449C2×D59semidirect
1087. #448C2×D59semidirect
1097. #447C2×D59semidirect
1107. #440C2×D59semidirect
1115. #435C2×D59semidirect
1130. C59#62015semidirect

Maximal subgroups

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

subgroupindex
#214386132
#214381152
#214371372
#214371352
#214368532
#214368502
#214362562
#214362472
#214362432
#214362392
#214360022
#214359982
D4×#117456692
#214357662
#214355912
#214355802
#214355702
#214355052
#214355022
#214354022
#214351442
#214351412
#214350822
#214342842
#214342812
#214341822
#214336012
#214335972
C2×#168376192
#214332362
C59×#32652
#6201559