Finite Group Databasebeta

← #29482085

Subgroups — #29482085

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438670C211yesmaximal, characteristic, complemented
2#21438044C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437166C211yesmaximal, characteristic, complemented
5#21436892C211yesmaximal, characteristic, complemented
6#21436815C211yesmaximal, characteristic, complemented
7#21436284C211yesmaximal, characteristic, complemented
8#21436258C211yesmaximal, characteristic, complemented
9#21436157C211yesmaximal, characteristic, complemented
10#21436136C211yesmaximal, characteristic, complemented
11#21436046C211yesmaximal, characteristic, complemented
12#21436017C211yesmaximal, characteristic, complemented
13#21435799C211yesmaximal, characteristic, complemented
14#21435779C211yesmaximal, characteristic, complemented
15#21435621C211yesmaximal, characteristic, complemented
16#21435595C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435519C211yesmaximal, characteristic, complemented
19#21435502C211yesmaximal, characteristic, complemented
20#21435415C211yesmaximal, characteristic, complemented
21#21435209C211yesmaximal, characteristic, complemented
22#21435185C211yesmaximal, characteristic, complemented
23#21435088C211yesmaximal, characteristic, complemented
24#21434347C211yesmaximal, characteristic, complemented
25#21434333C211yesmaximal, characteristic, complemented
26#21434198C211yesmaximal, characteristic, complemented
27#21433610C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#21433547C211yesmaximal, characteristic, complemented
30#21433236C211yesmaximal, characteristic, complemented
31C59×#3268C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C22×#11745670C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic
36#16838147—21no—
37#16838139—21no—
38#16838138C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838124C2211yescharacteristic, complemented
41#16838123C2211yescharacteristic
42#16838117C2211yescharacteristic, complemented
43#16838116C2211yescharacteristic
44#16838095—21no—
45#16838081—21no—
46#16838078—21no—
47#16838075—21no—
48D4×Dic118C2211yescharacteristic, complemented
49#16838061C2211yescharacteristic, complemented
50#16838058—21no—
51#16838058C2211yescharacteristic
52#16838051C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic, complemented
54#16838040C2211yescharacteristic
55#16838040C2211yescharacteristic
56#16838039—21no—
57D4×C22⋊D59C2211yescharacteristic
58#16838025C2211yescharacteristic, complemented
59#16838021C2211yescharacteristic
60#16838010C2211yescharacteristic, complemented
61#16838006—21no—
62#16838005C2211yescharacteristic, complemented
63#16837994—21no—
64#16837989—21no—
65#16837989—21no—
66#16837987—21no—
67#16837984—21no—
68#16837973C2211yescharacteristic, complemented
69#16837965C2211yescharacteristic, complemented
70#16837948C2211yescharacteristic, complemented
71#16837947C2211yescharacteristic, complemented
72#16837933C2211yescharacteristic, complemented
73#16837932C2211yescharacteristic
74#16837929—21no—
75C2×#14273713—21no—
76#16837877C2211yescharacteristic, complemented
77#16837874C2211yescharacteristic
78#41×Dic59C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic
82#16837784C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837748C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837707C2211yescharacteristic, complemented
97#16837705C2211yescharacteristic, complemented
98#16837704C2211yescharacteristic, complemented
99#16837700C2211yescharacteristic, complemented
100#16837697C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837688C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic
108#16837647C2211yescharacteristic
109#16837642C2211yescharacteristic, complemented
110#16837636C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic
116#16837626C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic
125#16837616C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic
127#16837615C2211yescharacteristic
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837610C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837605C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837600C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic
141#16837595C2211yescharacteristic
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837564C2211yescharacteristic, complemented
145#16837561C2211yescharacteristic, complemented
146#16837557C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic
148#16837551C2211yescharacteristic
149#16837551C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic, complemented
151#16837547C2211yescharacteristic
152#16837547C2211yescharacteristic, complemented
153#16837545C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic
155#16837543C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic
157#16837534C2211yescharacteristic
158#16837530C2211yescharacteristic, complemented
159#16837529C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic
161#16837514C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167C4×#11745671C2211yescharacteristic, complemented
168C4×#11745670C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic
171#16837473C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic
173#16837470C2211yescharacteristic
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#16837412C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837399C2211yescharacteristic, complemented
185#16837398C2211yescharacteristic, complemented
186#16837398C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#550C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic
197C59×#452C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687C2311yescharacteristic
206C22×Dic118—21no—
207C22×Dic118C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211#14273751—42no—
212#14273747—42no—
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745670—42no—
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229D8×D59—42no—
230C2×#11745659C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234#14273727C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273725C2311yescharacteristic
238#14273725C2311yescharacteristic
239#14273723C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722D411yescharacteristic
246#14273721—21no—
247#14273721—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720D411yescharacteristic
252#14273719—21no—
253#14273718C2311yescharacteristic
254#14273717—21no—
255#14273717D411yescharacteristic
256#14273716C2311yescharacteristic
257#14273716C2311yescharacteristic
258#14273715C2311yescharacteristic
259#14273714—21no—
260#14273714—21no—
261#14273714C2311yescharacteristic
262#14273714C2311yescharacteristic
263#14273714C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713D411yescharacteristic
275#14273711—21no—
276#14273711—21no—
277#14273711—21no—
278#14273711D411yescharacteristic
279#14273710—21no—
280#14273710—21no—
281#14273710—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273708D411yescharacteristic
293#14273707—21no—
294#14273707C2311yescharacteristic
295#14273706—21no—
296#14273706—21no—
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273705—21no—
300#14273705—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704D411yescharacteristic
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
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#14273699—21no—
323#14273699—21no—
324#14273699D411yescharacteristic
325#14273698—21no—
326#14273698—21no—
327#14273698—21no—
328#14273698C2311yescharacteristic
329#14273696—21no—
330#14273695—21no—
331#14273695—21no—
332#14273695—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336Q8×Dic59C2311yescharacteristic
337Q8×Dic59C2311yescharacteristic
338C4×Dic118C2311yescharacteristic
339C4×Dic118C2311yescharacteristic
340#14273692—21no—
341#14273692C2311yescharacteristic
342C4×D236C2311yescharacteristic
343D4×Dic59—21no—
344D4×Dic59—21no—
345D4×Dic59—21no—
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357#14273689C2311yescharacteristic
358#14273689C2311yescharacteristic
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59C2311yescharacteristic
363C4×C22⋊D59C2311yescharacteristic
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368#14273686—21no—
369#14273686C2311yescharacteristic
370#14273686C2311yescharacteristic
371#14273686C2311yescharacteristic
372#14273685—21no—
373#14273685C2311yescharacteristic
374#14273684—21no—
375#14273684C2311yescharacteristic
376#14273683—21no—
377#14273683—21no—
378C2×Dic59⋊C4—21no—
379C2×C22⋊Dic59—21no—
380C2×C22⋊Dic59—21no—
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—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#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
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
440C2×#41×C59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443AGL(1,ℤ/8)×C59—42no—
444#135×C59—42no—
445C2×Q16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456#127×C59—21no—
457#127×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×Q8×C59C2311yescharacteristic
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
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—21no—
504C2×D4×C59—21no—
505C2×D4×C59—41no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
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—82no—
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59C2×D411yescharacteristic
542C22×Dic59C2×D411yescharacteristic
543#11745687—41no—
544#11745687—41no—
545#11745687—82no—
546D4×D59—22no—
547D4×D59—41no—
548D4×D59—41no—
549D4×D59—41no—
550#11745685—41no—
551#11745685—41no—
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59C2411yescharacteristic
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118—21no—
562C2×Dic118—21no—
563C2×Dic118—41no—
564C2×Dic118—41no—
565C2×Dic118—82no—
566C2×Dic118C2×D411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569Q16×C59—41no—
570SD16×C59—22no—
571SD16×C59—41no—
572SD16×C59—41no—
573SD16×C59—41no—
574D8×C59—22no—
575D8×C59—22no—
576D8×C59—41no—
577D8×C59—41no—
578M16×C59—41no—
579C2×C8×C59—41no—
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C42×C59—21no—
599C42×C59C2411yescharacteristic
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59C2×D411yescharacteristic
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621#11745672—41no—
622#11745672—41no—
623#11745671—41no—
624#11745671—41no—
625#11745670—22no—
626#11745670—22no—
627#11745670—41no—
628#11745670—41no—
629#11745669—22no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695C2×C59⋊C8—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—41no—
702#11745660—41no—
703#11745660—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59C22×D411yescharacteristic
714C23×C59C22×D411yescharacteristic
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—41no—
736D4×C59—42no—
737D4×C59—42no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59H(5,𝔽2)12yes—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—42no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C2511yescharacteristic
763C22⋊D59—41no—
764C22⋊D59—41no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—41no—
784C2×Dic59—41no—
785C2×Dic59—42no—
786C2×Dic59—81no—
787C2×Dic59—81no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59—81no—
791C2×Dic59—81no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805C4×D59—21no—
806C4×D59—21no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811Dic118—21no—
812Dic118—21no—
813Dic118—21no—
814Dic118—21no—
815Dic118—41no—
816Dic118—42no—
817Dic118—81no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62011—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—21no—
834C22×C59—22no—
835C22×C59—21no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—162no—
848C22×C59C23×D411yescharacteristic
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59C2×H(5,𝔽2)11yescharacteristic
869C4×C59#58511yescharacteristic
870Dic59—21no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3514—591no—
885#3403—591no—
886#3401—591no—
887#3373—591no—
888#3367—591no—
889#3321—591no—
890#3319—591no—
891#3313—591no—
892#3311—591no—
893#3305—591no—
894#3303—591no—
895#3282—591no—
896#3280—591no—
897#3268D5911yescharacteristic, complemented
898#3267—591no—
899#3265—591no—
900#3264—591no—
901#3258—591no—
902#3257—591no—
903#3247—591no—
904#3225—591no—
905#3224—591no—
906#3214—591no—
907#3123—591no—
908#3122—591no—
909#3111—591no—
910#3042—591no—
911#3041—591no—
912#3035—591no—
913#2992—591no—
914C2×C59—42no—
915C2×C59—41no—
916C2×C59—41no—
917C2×C59—81no—
918C2×C59—81no—
919C2×C59—81no—
920C2×C59#348811yescharacteristic
921C2×C59#358411yescharacteristic
922C2×C59#358511yescharacteristic
923D59—41no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
928C2×#135—591no—
929C2×#135C2×D5911yescharacteristic, complemented
930C22×SD16—591no—
931C22×D8—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#556—591no—
938#555—591no—
939#555—591no—
940#553—1181no—
941#551—1181no—
942#551—1181no—
943#551—1181no—
944#550C2×D5911yescharacteristic, complemented
945D4×Q8—591no—
946#548—591no—
947#548—591no—
948#548—1181no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—1181no—
954#546C2×D5911yescharacteristic, complemented
955D42—591no—
956#542—591no—
957#542—591no—
958#541—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#538—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#532—591no—
970#529—591no—
971#529—591no—
972#529—1181no—
973C2×#124—1181no—
974#518—591no—
975#518—591no—
976C4×#41—591no—
977#497—591no—
978#496—591no—
979#496—591no—
980#496C2×D5911yescharacteristic, complemented
981#495—591no—
982#495—591no—
983#489—591no—
984#489—591no—
985#489—591no—
986#489—591no—
987#487—591no—
988#486—591no—
989#485—591no—
990#485—591no—
991#485—591no—
992#482—591no—
993#482—591no—
994#482—591no—
995#479—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#477—591no—
1000#477—591no—
1001#476—591no—
1002#476—591no—
1003#475—591no—
1004#474—591no—
1005#470—591no—
1006#469—591no—
1007#468—591no—
1008#468C2×D5911yescharacteristic, complemented
1009#467—591no—
1010#466—591no—
1011#466—591no—
1012#466C2×D5911yescharacteristic, complemented
1013#465—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464C2×D5911yescharacteristic, complemented
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#459—591no—
1042#459—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459C2×D5911yescharacteristic
1047#452—591no—
1048#452—591no—
1049#452C2×D5911yescharacteristic, complemented
1050#451—591no—
1051#450—591no—
1052#450—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449C2×D5911yescharacteristic
1060#449C2×D5911yescharacteristic, complemented
1061#448—591no—
1062#447—591no—
1063#447—591no—
1064#447C2×D5911yescharacteristic, complemented
1065#446—591no—
1066#446—591no—
1067#442—591no—
1068#442—591no—
1069#442—591no—
1070#441—591no—
1071#440—591no—
1072#440—591no—
1073#440—591no—
1074#440C2×D5911yescharacteristic, complemented
1075C4×SD16—591no—
1076C4×SD16—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#435—591no—
1080#435—591no—
1081#435—591no—
1082#435C2×D5911yescharacteristic, complemented
1083C8×D4—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#432—591no—
1088#424—591no—
1089#424—591no—
1090C2×C4⋊C8—591no—
1091#419—591no—
1092#418—591no—
1093#416—591no—
1094#416—591no—
1095#416—591no—
1096#416—591no—
1097C59#6201111yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—1181no—
1101C2×#41C22×D5911yescharacteristic
1102C2×#41C22×D5911yescharacteristic
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—591no—
1105C22×Q8—1181no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—1181no—
1109C22×D4C22×D5911yescharacteristic
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—2362no—
1112#135—42no—
1113#135—2362no—
1114C2×Q16—591no—
1115C2×Q16—591no—
1116C2×Q16C22×D5911yescharacteristic
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—2362no—
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—2362no—
1136C2×D8C22×D5911yescharacteristic
1137C2×D8C22×D5911yescharacteristic
1138C2×D8C22×D5911yescharacteristic
1139C2×D8C22×D5911yescharacteristic
1140C2×M16—591no—
1141C2×M16C22×D5911yescharacteristic
1142C22×C8—591no—
1143C22×C8—591no—
1144C22×C8—591no—
1145C22×C8C22×D5911yescharacteristic
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149C4⋊Q8—591no—
1150C4⋊Q8—591no—
1151#127—21no—
1152#127—591no—
1153#127—591no—
1154#127C22×D5911yescharacteristic
1155#126—591no—
1156#126—591no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124C22×D5911yescharacteristic
1190#123—21no—
1191#123—591no—
1192#123—591no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121C22×D5911yescharacteristic
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—21no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—1181no—
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—21no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306C2×C4⋊C4—1181no—
1307C2×C22⋊C4—21no—
1308C2×C22⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C42—591no—
1316C2×C42—1181no—
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107C22×D5911yescharacteristic
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103C22×D5911yescharacteristic
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97—591no—
1375#97—591no—
1376#97C22×D5911yescharacteristic
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—21no—
1380C24—1181no—
1381C24—1181no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—4722no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—591no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—1181no—
1397C2×Q8—1181no—
1398C2×Q8—1181no—
1399C2×Q8—1181no—
1400C2×Q8—4722no—
1401C2×Q8—2361no—
1402C2×Q8—2361no—
1403C2×Q8C23×D5911yescharacteristic
1404C2×Q8C23×D5911yescharacteristic
1405C2×D4—22no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—41no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1182no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—4722no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4—2361no—
1437C2×D4D4×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C2×D4C23×D5911yescharacteristic
1440C2×D4C23×D5911yescharacteristic
1441C2×D4C23×D5911yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—41no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—22no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—1182no—
1472SD16—1182no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—1182no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—41no—
1489M16—2361no—
1490C2×C8—41no—
1491C2×C8—591no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—2361no—
1496C2×C8—2361no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4D4×D5911yescharacteristic
1535C4⋊C4C23×D5911yescharacteristic
1536C4⋊C4C23×D5911yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4D4×D5911yescharacteristic
1586C22⋊C4D4×D5911yescharacteristic
1587C42—21no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—591no—
1593C42—1181no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—591no—
1609C23—1181no—
1610C23—1181no—
1611C23—4721no—
1612C23—4721no—
1613C23—4721no—
1614C23—4721no—
1615C23—4721no—
1616C23—2362no—
1617C23C2×D4×D5911yescharacteristic
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—4721no—
1628Q8—4721no—
1629Q8—4721no—
1630Q8—2361no—
1631Q8—2362no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—41no—
1640D4—42no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—1181no—
1650D4—1181no—
1651D4—1181no—
1652D4—1181no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—4721no—
1662D4—4721no—
1663D4—2361no—
1664D4—2361no—
1665D4—2362no—
1666D4—2362no—
1667D4#1427377212yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—2361no—
1708C2×C4—2361no—
1709C2×C4—2362no—
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—162no—
1742C22—1181no—
1743C22—1181no—
1744C22—1181no—
1745C22—9442no—
1746C22—9442no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—1181no—
1763C4—1181no—
1764C4—1181no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—2361no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4C2×#1427377211yescharacteristic
1776C4#1683823711yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—4721no—
1784C2—4721no—
1785C2—2361no—
1786C2#2143775611yescharacteristic
1787C2#2143886911yescharacteristic
1788C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3268C2
socleC22×C59C23×D4
hypercenter#3268D59
hypocenterC59#62011
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #21438670C2semidirect
2. #21438044C2semidirect
3. #21437181C2semidirect
4. #21437166C2semidirect
5. #21436892C2semidirect
6. #21436815C2semidirect
7. #21436284C2semidirect
8. #21436258C2semidirect
9. #21436157C2semidirect
10. #21436136C2semidirect
11. #21436046C2semidirect
12. #21436017C2semidirect
13. #21435799C2semidirect
14. #21435779C2semidirect
15. #21435621C2semidirect
16. #21435595C2semidirect
17. #21435570C2semidirect
18. #21435519C2semidirect
19. #21435502C2semidirect
20. #21435415C2semidirect
21. #21435209C2semidirect
22. #21435185C2semidirect
23. #21435088C2semidirect
24. #21434347C2semidirect
25. #21434333C2semidirect
26. #21434198C2semidirect
27. #21433610C2semidirect
28. #21433594C2semidirect
29. #21433547C2semidirect
30. #21433236C2semidirect
31. C59×#3268C2semidirect
34. C22×#11745670C22semidirect
38. #16838138C22semidirect
39. #16838134C22semidirect
40. #16838124C22semidirect
42. #16838117C22semidirect
48. D4×Dic118C22semidirect
49. #16838061C22semidirect
52. #16838051C22semidirect
53. #16838049C22semidirect
58. #16838025C22semidirect
60. #16838010C22semidirect
62. #16838005C22semidirect
68. #16837973C22semidirect
69. #16837965C22semidirect
70. #16837948C22semidirect
71. #16837947C22semidirect
72. #16837933C22semidirect
76. #16837877C22semidirect
78. #41×Dic59C22semidirect
79. #16837795C22semidirect
80. #16837790C22semidirect
82. #16837784C22semidirect
83. #16837783C22semidirect
84. #16837763C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837760C22semidirect
88. #16837751C22semidirect
89. #16837748C22semidirect
90. #16837745C22semidirect
91. #16837744C22semidirect
92. #16837742C22semidirect
93. #16837727C22semidirect
94. #16837723C22semidirect
95. #16837723C22semidirect
96. #16837707C22semidirect
97. #16837705C22semidirect
98. #16837704C22semidirect
99. #16837700C22semidirect
100. #16837697C22semidirect
101. #16837696C22semidirect
102. #16837690C22semidirect
103. #16837690C22semidirect
104. #16837688C22semidirect
105. #16837681C22semidirect
106. #16837657C22semidirect
109. #16837642C22semidirect
110. #16837636C22semidirect
111. #16837636C22semidirect
112. #16837633C22semidirect
113. #16837631C22semidirect
114. #16837629C22semidirect
116. #16837626C22semidirect
117. #16837622C22semidirect
118. #16837622C22semidirect
119. #16837621C22semidirect
120. #16837620C22semidirect
122. #16837619C22semidirect
123. #16837618C22semidirect
125. #16837616C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837610C22semidirect
132. #16837606C22semidirect
133. #16837605C22semidirect
134. #16837605C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
137. #16837601C22semidirect
138. #16837600C22semidirect
139. #16837596C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
144. #16837564C22semidirect
145. #16837561C22semidirect
146. #16837557C22semidirect
149. #16837551C22semidirect
150. #16837549C22semidirect
152. #16837547C22semidirect
153. #16837545C22semidirect
155. #16837543C22semidirect
158. #16837530C22semidirect
159. #16837529C22semidirect
161. #16837514C22semidirect
162. #16837511C22semidirect
163. #16837506C22semidirect
164. #16837504C22semidirect
165. #16837503C22semidirect
166. #16837499C22semidirect
167. C4×#11745671C22semidirect
168. C4×#11745670C22semidirect
169. D8×Dic59C22semidirect
171. #16837473C22semidirect
174. D4×C59⋊C8C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837464C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837430C22semidirect
180. #16837427C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837412C22semidirect
183. #16837405C22semidirect
184. #16837399C22semidirect
185. #16837398C22semidirect
186. #16837398C22semidirect
187. #16837395C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#550C22semidirect
191. C59×#546C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#464C22semidirect
197. C59×#452C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
897. #3268D59semidirect
929. C2×#135C2×D59semidirect
944. #550C2×D59semidirect
954. #546C2×D59semidirect
980. #496C2×D59semidirect
1008. #468C2×D59semidirect
1012. #466C2×D59semidirect
1021. #464C2×D59semidirect
1049. #452C2×D59semidirect
1060. #449C2×D59semidirect
1064. #447C2×D59semidirect
1074. #440C2×D59semidirect
1082. #435C2×D59semidirect
1097. C59#62011semidirect

Maximal subgroups

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

subgroupindex
#214386702
#214380442
#214371812
#214371662
#214368922
#214368152
#214362842
#214362582
#214361572
#214361362
#214360462
#214360172
#214357992
#214357792
#214356212
#214355952
#214355702
#214355192
#214355022
#214354152
#214352092
#214351852
#214350882
#214343472
#214343332
#214341982
#214336102
#214335942
#214335472
#214332362
C59×#32682
#6201159