Finite Group Databasebeta

← D59×#3257 #29461591

Subgroups — D59×#3257 #29461591

Order 15104.

1946 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#542×D59C211yesmaximal, characteristic, complemented
2#540×D59C211yesmaximal, characteristic, complemented
3#21435514C211yesmaximal, characteristic, complemented
4#21435513C211yesmaximal, characteristic, complemented
5#21435512C211yesmaximal, characteristic, complemented
6#21435511C211yesmaximal, characteristic, complemented
7#21435510C211yesmaximal, characteristic, complemented
8#21435509C211yesmaximal, characteristic, complemented
9#21435508C211yesmaximal, characteristic, complemented
10#21435507C211yesmaximal, characteristic, complemented
11#21435506C211yesmaximal, characteristic, complemented
12#21435505C211yesmaximal, characteristic, complemented
13#21435504C211yesmaximal, characteristic, complemented
14#21435503C211yesmaximal, characteristic, complemented
15#21435502C211yesmaximal, characteristic, complemented
16#21435501C211yesmaximal, characteristic, complemented
17#21435500C211yesmaximal, characteristic, complemented
18#479×D59C211yesmaximal, characteristic, complemented
19#478×D59C211yesmaximal, characteristic, complemented
20#476×D59C211yesmaximal, characteristic, complemented
21#474×D59C211yesmaximal, characteristic, complemented
22#469×D59C211yesmaximal, characteristic, complemented
23#468×D59C211yesmaximal, characteristic, complemented
24#466×D59C211yesmaximal, characteristic, complemented
25#465×D59C211yesmaximal, characteristic, complemented
26#460×D59C211yesmaximal, characteristic, complemented
27#463×D59C211yesmaximal, characteristic, complemented
28#463×D59C211yesmaximal, characteristic, complemented
29#459×D59C211yesmaximal, characteristic, complemented
30#424×D59C211yesmaximal, characteristic, complemented
31C59×#3257C211yesmaximal, characteristic, complemented
32C2×SD16×D59C2211yescharacteristic
33C2×SD16×D59C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36C2×M16×D59C2211yescharacteristic
37C22×C8×D59C2211yescharacteristic
38#16838026C2211yescharacteristic, complemented
39#16838025C2211yescharacteristic, complemented
40#16838024C2211yescharacteristic, complemented
41#16838023C2211yescharacteristic, complemented
42#16838022—21no—
43#16838021C2211yescharacteristic, complemented
44#16838020—21no—
45#16838019C2211yescharacteristic, complemented
46#16838018—21no—
47#16838017C2211yescharacteristic, complemented
48#16838016—21no—
49#16838008C2211yescharacteristic, complemented
50#16838007C2211yescharacteristic, complemented
51#16838006C2211yescharacteristic, complemented
52#16838005C2211yescharacteristic, complemented
53#16838005C2211yescharacteristic, complemented
54#16838004—21no—
55#16838004—21no—
56#16838003C2211yescharacteristic, complemented
57#16838003C2211yescharacteristic, complemented
58#16838002—21no—
59#16838002—21no—
60C4⋊Q8×D59C2211yescharacteristic
61#127×D59C2211yescharacteristic
62#126×D59—21no—
63#125×D59C2211yescharacteristic
64#124×D59—21no—
65#124×D59C2211yescharacteristic
66#123×D59—21no—
67#123×D59—21no—
68#123×D59—21no—
69C22⋊Q8×D59—21no—
70C22⋊Q8×D59C2211yescharacteristic
71#121×D59—21no—
72#121×D59—21no—
73#121×D59C2211yescharacteristic
74#121×D59C2211yescharacteristic
75#121×D59C2211yescharacteristic
76C4×Q8×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78C4×D4×D59C2211yescharacteristic
79C4×D4×D59C2211yescharacteristic
80#117×D59C2211yescharacteristic
81#16837712C2211yescharacteristic, complemented
82#16837711C2211yescharacteristic, complemented
83#16837710C2211yescharacteristic, complemented
84#16837709C2211yescharacteristic, complemented
85#16837708C2211yescharacteristic, complemented
86#16837707C2211yescharacteristic, complemented
87#16837706C2211yescharacteristic, complemented
88#16837705C2211yescharacteristic, complemented
89#16837704C2211yescharacteristic, complemented
90#16837703C2211yescharacteristic, complemented
91#16837702C2211yescharacteristic, complemented
92#16837701C2211yescharacteristic, complemented
93#16837700C2211yescharacteristic, complemented
94#16837699C2211yescharacteristic, complemented
95#16837693C2211yescharacteristic, complemented
96#16837692C2211yescharacteristic, complemented
97#16837691C2211yescharacteristic, complemented
98#16837691C2211yescharacteristic, complemented
99#16837690C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837689C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837682C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837680C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837679C2211yescharacteristic, complemented
109#16837656C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837653C2211yescharacteristic, complemented
115#16837652C2211yescharacteristic, complemented
116#16837651C2211yescharacteristic, complemented
117#16837650C2211yescharacteristic, complemented
118#16837649C2211yescharacteristic, complemented
119#16837648C2211yescharacteristic, complemented
120#16837647C2211yescharacteristic, complemented
121#16837646C2211yescharacteristic, complemented
122#16837645C2211yescharacteristic, complemented
123#16837639C2211yescharacteristic, complemented
124#16837638C2211yescharacteristic, complemented
125#16837637C2211yescharacteristic, complemented
126#16837637C2211yescharacteristic, complemented
127#16837636C2211yescharacteristic, complemented
128#16837636C2211yescharacteristic, complemented
129#16837635C2211yescharacteristic, complemented
130#16837634C2211yescharacteristic, complemented
131#16837633C2211yescharacteristic, complemented
132#16837632C2211yescharacteristic, complemented
133#16837631C2211yescharacteristic, complemented
134#16837630C2211yescharacteristic, complemented
135#16837629C2211yescharacteristic, complemented
136#16837628C2211yescharacteristic, complemented
137#16837620C2211yescharacteristic, complemented
138#16837620C2211yescharacteristic, complemented
139#16837619C2211yescharacteristic, complemented
140#16837619C2211yescharacteristic, complemented
141#16837618C2211yescharacteristic, complemented
142#16837618C2211yescharacteristic, complemented
143#16837617C2211yescharacteristic, complemented
144#16837617C2211yescharacteristic, complemented
145#16837616C2211yescharacteristic, complemented
146#16837616C2211yescharacteristic, complemented
147#16837615C2211yescharacteristic, complemented
148#16837615C2211yescharacteristic, complemented
149#16837614C2211yescharacteristic, complemented
150#16837614C2211yescharacteristic, complemented
151#16837603C2211yescharacteristic, complemented
152#16837602C2211yescharacteristic, complemented
153#16837601C2211yescharacteristic, complemented
154#16837601C2211yescharacteristic, complemented
155#16837600C2211yescharacteristic, complemented
156#16837600C2211yescharacteristic, complemented
157#16837599C2211yescharacteristic, complemented
158#16837598C2211yescharacteristic, complemented
159#16837597C2211yescharacteristic, complemented
160#16837596C2211yescharacteristic, complemented
161#16837596C2211yescharacteristic, complemented
162#16837595C2211yescharacteristic, complemented
163#16837595C2211yescharacteristic, complemented
164#16837594C2211yescharacteristic, complemented
165#107×D59C2211yescharacteristic
166#107×D59C2211yescharacteristic
167#106×D59C2211yescharacteristic
168#106×D59C2211yescharacteristic
169#16837430C2211yescharacteristic, complemented
170#16837429C2211yescharacteristic, complemented
171#16837428C2211yescharacteristic, complemented
172#16837427C2211yescharacteristic, complemented
173#16837427C2211yescharacteristic, complemented
174#16837427C2211yescharacteristic, complemented
175#16837427C2211yescharacteristic, complemented
176C4⋊C8×D59C2211yescharacteristic
177C4⋊C8×D59C2211yescharacteristic
178C4⋊C8×D59C2211yescharacteristic
179C4⋊C8×D59C2211yescharacteristic
180#103×D59C2211yescharacteristic
181#103×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#102×D59C2211yescharacteristic
186#102×D59C2211yescharacteristic
187#102×D59C2211yescharacteristic
188C59×#542C2211yescharacteristic, complemented
189C59×#540C2211yescharacteristic, complemented
190C59×#479C2211yescharacteristic, complemented
191C59×#478C2211yescharacteristic, complemented
192C59×#476C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#466C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#463C2211yescharacteristic, complemented
199C59×#463C2211yescharacteristic, complemented
200C59×#460C2211yescharacteristic, complemented
201C59×#459C2211yescharacteristic, complemented
202C59×#424C2211yescharacteristic, complemented
203C2×Q8×D59—21no—
204C2×Q8×D59C2311yescharacteristic
205C2×D4×D59—21no—
206C2×D4×D59—21no—
207C2×D4×D59—21no—
208C2×D4×D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215C22×C4×D59—21no—
216C22×C4×D59C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223SD16×D59—42no—
224SD16×D59—42no—
225C2×D472C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231D8×D59—42no—
232D8×D59—42no—
233C2×#11745664C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236M16×D59—42no—
237C22×C59⋊C8C2311yescharacteristic
238C2×C8×D59—42no—
239C2×C8×D59C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273726—21no—
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273725—21no—
250#14273724C2311yescharacteristic
251#14273723—21no—
252#14273723—21no—
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273721—21no—
259#14273720—21no—
260#14273720—21no—
261#14273720—21no—
262#14273719C2311yescharacteristic
263#14273718C2311yescharacteristic
264#14273718C2311yescharacteristic
265#14273717—21no—
266#14273717—21no—
267#14273716—21no—
268#14273716C2311yescharacteristic
269#14273715—21no—
270#14273715C2311yescharacteristic
271#14273714—21no—
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273711—21no—
286#14273711—21no—
287#14273711—21no—
288#14273710—21no—
289#14273710—21no—
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273708—21no—
298#14273708—21no—
299#14273708—21no—
300#14273707—21no—
301#14273707C2311yescharacteristic
302#14273706—21no—
303#14273706C2311yescharacteristic
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273703—21no—
311#14273703C2311yescharacteristic
312#14273702—21no—
313#14273702—21no—
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273698—21no—
337#14273698—21no—
338#14273698C2311yescharacteristic
339#14273698C2311yescharacteristic
340#14273698C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic
344#14273692—21no—
345#14273692C2311yescharacteristic
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352#14273689C2311yescharacteristic
353#14273689C2311yescharacteristic
354#14273689C2311yescharacteristic
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361#14273686C2311yescharacteristic
362#14273685D411yescharacteristic
363#14273685D411yescharacteristic
364#14273684C2311yescharacteristic
365#14273684C2311yescharacteristic
366#14273683D411yescharacteristic
367#14273683D411yescharacteristic
368C4⋊C4×D59—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59D411yescharacteristic
374C4⋊C4×D59D411yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59D411yescharacteristic
389C22⋊C4×D59D411yescharacteristic
390C42×D59—21no—
391C42×D59C2311yescharacteristic
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403#14273658C2311yescharacteristic
404#14273658C2311yescharacteristic
405C4⋊(C59⋊C8)C2311yescharacteristic
406C4⋊(C59⋊C8)C2311yescharacteristic
407C4⋊(C59⋊C8)C2311yescharacteristic
408C4⋊(C59⋊C8)C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412Dic59⋊C8C2311yescharacteristic
413Dic59⋊C8C2311yescharacteristic
414Dic59⋊C8C2311yescharacteristic
415Dic59⋊C8C2311yescharacteristic
416Dic59⋊C8C2311yescharacteristic
417#14273652C2311yescharacteristic
418#14273652C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273649C2311yescharacteristic
428#14273649C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273648C2311yescharacteristic
433#14273648C2311yescharacteristic
434#14273648C2311yescharacteristic
435#14273647C2311yescharacteristic
436#14273647C2311yescharacteristic
437#14273647C2311yescharacteristic
438#14273647C2311yescharacteristic
439#14273647C2311yescharacteristic
440#14273647C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4⋊Q8×C59C2311yescharacteristic
448#127×C59C2311yescharacteristic
449#126×C59—21no—
450#125×C59C2311yescharacteristic
451#124×C59—21no—
452#124×C59C2311yescharacteristic
453#123×C59—21no—
454#123×C59—21no—
455#123×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59C2×D411yescharacteristic
488C2×Q8×C59—21no—
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59C2×D411yescharacteristic
519Q8×D59—22no—
520Q8×D59—22no—
521Q8×D59—82no—
522D4×D59—22no—
523D4×D59—22no—
524D4×D59—22no—
525D4×D59—22no—
526D4×D59—22no—
527D4×D59—22no—
528D4×D59—82no—
529D4×D59—82no—
530D4×D59—82no—
531D4×D59—82no—
532D4×D59—82no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236C2411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×C4×D59—22no—
542C2×C4×D59—22no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—82no—
555C2×C4×D59—82no—
556C2×C4×D59—82no—
557C2×C4×D59C2×D411yescharacteristic
558C2×C4×D59C2×D411yescharacteristic
559C2×C4×D59C2×D411yescharacteristic
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118—21no—
568C2×Dic118—21no—
569C2×Dic118C2411yescharacteristic
570SD16×C59—41no—
571SD16×C59—41no—
572D8×C59—41no—
573D8×C59—41no—
574M16×C59—41no—
575C2×C8×C59—41no—
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59C2×D411yescharacteristic
601C22⋊C4×C59C2×D411yescharacteristic
602C42×C59—21no—
603C42×C59C2411yescharacteristic
604C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
615C22⋊Dic59C2×D411yescharacteristic
616#11745671—41no—
617#11745671—41no—
618#11745670—41no—
619#11745670—41no—
620#11745669—41no—
621#11745669—41no—
622#11745669—41no—
623#11745669—41no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2×D411yescharacteristic
682C4×Dic59C2411yescharacteristic
683C4×Dic59C2411yescharacteristic
684#11745664—41no—
685C2×C59⋊C8—41no—
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690D472—41no—
691D472—41no—
692#11745660—41no—
693#11745660—41no—
694#11745659—41no—
695#11745659—41no—
696C8×D59—22no—
697C8×D59—22no—
698C8×D59—22no—
699C8×D59—22no—
700C8×D59—41no—
701C8×D59—41no—
702C23×C59—21no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59C22×D411yescharacteristic
706C22×D59—22no—
707C22×D59—22no—
708C22×D59—22no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—81no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—81no—
733D4×C59—81no—
734D4×C59—81no—
735D4×C59—81no—
736D4×C59—81no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59—81no—
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C2511yescharacteristic
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C2×Dic59—22no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—81no—
773C2×Dic59—81no—
774C2×Dic59—81no—
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—81no—
788D236—81no—
789D236—81no—
790D236—81no—
791D236—81no—
792C4×D59—22no—
793C4×D59—22no—
794C4×D59—22no—
795C4×D59—22no—
796C4×D59—22no—
797C4×D59—21no—
798C4×D59—21no—
799C4×D59—22no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59H(5,𝔽2)12yes—
812C4×D592−1+412yes—
813Dic118—21no—
814Dic118—21no—
815Dic118—42no—
816Dic118—81no—
817Dic118—81no—
818Dic118—81no—
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C2×#3257—591nomaximal, Sylow
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59C23×D411yescharacteristic
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—44no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—84no—
855C2×D59—84no—
856C2×D59—84no—
857C2×D59#53712yes—
858C2×D59#57612yes—
859C2×D59#57712yes—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—21no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59C2×H(5,𝔽2)11yescharacteristic
871C4×C59C2×2−1+411yescharacteristic
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59#53712yes—
883C2×#542—591no—
884C2×#540—591no—
885#3257—591no—
886#3257—591no—
887#3257—591no—
888#3257—591no—
889#3257—591no—
890#3257—591no—
891#3257—591no—
892#3257—591no—
893#3257—591no—
894#3257—591no—
895#3257—591no—
896#3257—591no—
897#3257—591no—
898#3257—591no—
899#3257—591no—
900#3257D5911yescharacteristic, direct product factor
901C2×#479—591no—
902C2×#478—591no—
903C2×#476—591no—
904C2×#474—591no—
905C2×#469—591no—
906C2×#468—591no—
907C2×#466—591no—
908C2×#465—591no—
909C2×#460—591no—
910C2×#463—591no—
911C2×#463—591no—
912C2×#459—591no—
913C2×#424—591no—
914C2×C59—41no—
915C2×C59—81no—
916C2×C59—81no—
917C2×C59—81no—
918C2×C59C2×#53711yescharacteristic
919C2×C59C2×#57611yescharacteristic
920C2×C59C2×#57711yescharacteristic
921D59—41no—
922D59—81no—
923D59—81no—
924D59—81no—
925D59#325714yesdirect product factor
926C22×SD16—591no—
927C22×SD16—591no—
928C22×D8—591no—
929C22×D8—591no—
930C22×M16—591no—
931C23×C8—591no—
932#542—591no—
933#542—591no—
934#542—591no—
935#542—591no—
936#542—591no—
937#542—591no—
938#542—591no—
939#542—1181no—
940#542—1181no—
941#542—1181no—
942#542—1181no—
943#542C2×D5911yescharacteristic, complemented
944#540—591no—
945#540—591no—
946#540—591no—
947#540—591no—
948#540—591no—
949#540—591no—
950#540—591no—
951#540—1181no—
952#540—1181no—
953#540—1181no—
954#540—1181no—
955#540C2×D5911yescharacteristic, complemented
956C2×C4⋊Q8—591no—
957C2×#127—591no—
958C2×#126—1181no—
959C2×#125—591no—
960C2×#124—591no—
961C2×#124—1181no—
962C2×#123—1181no—
963C2×#123—1181no—
964C2×#123—1181no—
965C2×C22⋊Q8—591no—
966C2×C22⋊Q8—1181no—
967C2×#121—591no—
968C2×#121—591no—
969C2×#121—591no—
970C2×#121—1181no—
971C2×#121—1181no—
972C2×C4×Q8—591no—
973C2×C4×D4—591no—
974C2×C4×D4—591no—
975C2×C4×D4—591no—
976C2×#117—591no—
977#479—591no—
978#479—591no—
979#479—591no—
980#479—591no—
981#479—591no—
982#479—591no—
983#479—591no—
984#479C2×D5911yescharacteristic, complemented
985#478—591no—
986#478—591no—
987#478—591no—
988#478—591no—
989#478—591no—
990#478—591no—
991#478—591no—
992#478C2×D5911yescharacteristic, complemented
993#476—591no—
994#476—591no—
995#476—591no—
996#476—591no—
997#476—591no—
998#476—591no—
999#476—591no—
1000#476C2×D5911yescharacteristic, complemented
1001#474—591no—
1002#474—591no—
1003#474—591no—
1004#474—591no—
1005#474—591no—
1006#474—591no—
1007#474—591no—
1008#474C2×D5911yescharacteristic, complemented
1009#469—591no—
1010#469—591no—
1011#469—591no—
1012#469—591no—
1013#469—591no—
1014#469—591no—
1015#469—591no—
1016#469C2×D5911yescharacteristic, complemented
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#468—591no—
1022#468—591no—
1023#468—591no—
1024#468C2×D5911yescharacteristic, complemented
1025#466—591no—
1026#466—591no—
1027#466—591no—
1028#466—591no—
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#466C2×D5911yescharacteristic, complemented
1033#465—591no—
1034#465—591no—
1035#465—591no—
1036#465—591no—
1037#465—591no—
1038#465—591no—
1039#465—591no—
1040#465C2×D5911yescharacteristic, complemented
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#463—591no—
1050#463—591no—
1051#463—591no—
1052#463—591no—
1053#463—591no—
1054#463—591no—
1055#463C2×D5911yescharacteristic, complemented
1056#463C2×D5911yescharacteristic, complemented
1057#460—591no—
1058#460—591no—
1059#460—591no—
1060#460—591no—
1061#460—591no—
1062#460—591no—
1063#460—591no—
1064#460C2×D5911yescharacteristic, complemented
1065#459—591no—
1066#459—591no—
1067#459—591no—
1068#459—591no—
1069#459—591no—
1070#459—591no—
1071#459—591no—
1072#459C2×D5911yescharacteristic, complemented
1073C2×#107—591no—
1074C2×#107—591no—
1075C2×#106—591no—
1076C2×#106—591no—
1077#424—591no—
1078#424—591no—
1079#424—591no—
1080#424—591no—
1081#424—591no—
1082#424—591no—
1083#424—591no—
1084#424C2×D5911yescharacteristic, complemented
1085C2×C4⋊C8—591no—
1086C2×C4⋊C8—591no—
1087C2×C4⋊C8—591no—
1088C2×C4⋊C8—591no—
1089C2×#103—591no—
1090C2×#103—591no—
1091C2×#102—591no—
1092C2×#102—591no—
1093C2×#102—591no—
1094C2×#102—591no—
1095C2×#102—591no—
1096C2×#102—591no—
1097C59C2×#325711yescharacteristic, complemented, Sylow
1098C22×Q8—591no—
1099C22×Q8—1181no—
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—591no—
1103C22×D4—1181no—
1104C22×D4—1181no—
1105C22×D4—1181no—
1106C22×D4—1181no—
1107C22×D4—1181no—
1108C23×C4—591no—
1109C23×C4—1181no—
1110C23×C4—1181no—
1111C23×C4—1181no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—2362no—
1119C2×SD16—2362no—
1120C2×SD16C22×D5911yescharacteristic
1121C2×SD16C22×D5911yescharacteristic
1122C2×D8—591no—
1123C2×D8—591no—
1124C2×D8—591no—
1125C2×D8—591no—
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—2362no—
1129C2×D8—2362no—
1130C2×D8C22×D5911yescharacteristic
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16—2362no—
1136C2×M16C22×D5911yescharacteristic
1137C22×C8—591no—
1138C22×C8—591no—
1139C22×C8—591no—
1140C22×C8—591no—
1141C22×C8—591no—
1142C22×C8—591no—
1143C22×C8—591no—
1144C22×C8—2362no—
1145C22×C8C22×D5911yescharacteristic
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149C4⋊Q8—1181no—
1150C4⋊Q8—1181no—
1151C4⋊Q8C22×D5911yescharacteristic
1152#127—591no—
1153#127—591no—
1154#127—591no—
1155#127—1181no—
1156#127—1181no—
1157#127C22×D5911yescharacteristic
1158#126—21no—
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—591no—
1169#125—1181no—
1170#125—1181no—
1171#125C22×D5911yescharacteristic
1172#124—21no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124C22×D5911yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210C22⋊Q8—21no—
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⋊Q8C22×D5911yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
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#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121C22×D5911yescharacteristic
1256#121C22×D5911yescharacteristic
1257#121C22×D5911yescharacteristic
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—1181no—
1262C4×Q8—1181no—
1263C4×Q8C22×D5911yescharacteristic
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4C22×D5911yescharacteristic
1280C4×D4C22×D5911yescharacteristic
1281C4×D4C22×D5911yescharacteristic
1282#117—591no—
1283#117—591no—
1284#117—591no—
1285#117—591no—
1286#117—591no—
1287#117—591no—
1288#117—591no—
1289#117C22×D5911yescharacteristic
1290C2×C4⋊C4—591no—
1291C2×C4⋊C4—591no—
1292C2×C4⋊C4—591no—
1293C2×C4⋊C4—591no—
1294C2×C4⋊C4—591no—
1295C2×C4⋊C4—591no—
1296C2×C4⋊C4—1181no—
1297C2×C4⋊C4—1181no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4—1181no—
1301C2×C22⋊C4—591no—
1302C2×C22⋊C4—591no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C22⋊C4—1181no—
1308C2×C22⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C42—591no—
1313C2×C42—591no—
1314C2×C42—1181no—
1315#107—591no—
1316#107—591no—
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107—591no—
1321#107C22×D5911yescharacteristic
1322#107C22×D5911yescharacteristic
1323#106—591no—
1324#106—591no—
1325#106—591no—
1326#106—591no—
1327#106—591no—
1328#106—591no—
1329#106C22×D5911yescharacteristic
1330#106C22×D5911yescharacteristic
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8C22×D5911yescharacteristic
1344C4⋊C8C22×D5911yescharacteristic
1345C4⋊C8C22×D5911yescharacteristic
1346C4⋊C8C22×D5911yescharacteristic
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
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#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379C24—591no—
1380C24—1181no—
1381C24—1181no—
1382C24—1181no—
1383C2×Q8—21no—
1384C2×Q8—591no—
1385C2×Q8—1181no—
1386C2×Q8—1181no—
1387C2×Q8—1181no—
1388C2×Q8—1182no—
1389C2×Q8—1182no—
1390C2×Q8—1181no—
1391C2×Q8—4722no—
1392C2×Q8C23×D5911yescharacteristic
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1182no—
1405C2×D4—1182no—
1406C2×D4—1182no—
1407C2×D4—1182no—
1408C2×D4—1182no—
1409C2×D4—1182no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—4722no—
1426C2×D4—4722no—
1427C2×D4—4722no—
1428C2×D4—4722no—
1429C2×D4—4722no—
1430C2×D4C23×D5911yescharacteristic
1431C2×D4C23×D5911yescharacteristic
1432C2×D4C23×D5911yescharacteristic
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—1182no—
1446C22×C4—1182no—
1447C22×C4—1181no—
1448C22×C4—1181no—
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—4722no—
1462C22×C4—4722no—
1463C22×C4—4722no—
1464C22×C4C23×D5911yescharacteristic
1465SD16—41no—
1466SD16—41no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471SD16—2361no—
1472SD16—2361no—
1473D8—41no—
1474D8—41no—
1475D8—2361no—
1476D8—2361no—
1477D8—2361no—
1478D8—2361no—
1479D8—2361no—
1480D8—2361no—
1481M16—41no—
1482M16—2361no—
1483M16—2361no—
1484M16—2361no—
1485C2×C8—41no—
1486C2×C8—591no—
1487C2×C8—591no—
1488C2×C8—591no—
1489C2×C8—591no—
1490C2×C8—1182no—
1491C2×C8—1182no—
1492C2×C8—1182no—
1493C2×C8—1182no—
1494C2×C8—2361no—
1495C2×C8—2361no—
1496C2×C8—2361no—
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
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—1181no—
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⋊C4—1181no—
1535C4⋊C4D4×D5911yescharacteristic
1536C4⋊C4D4×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1584C22⋊C4D4×D5911yescharacteristic
1585C42—21no—
1586C42—591no—
1587C42—591no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—1181no—
1593C42—1181no—
1594C42—1181no—
1595C42C23×D5911yescharacteristic
1596C42C23×D5911yescharacteristic
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—591no—
1601C23—591no—
1602C23—1182no—
1603C23—1182no—
1604C23—1182no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—2362no—
1609C23—2362no—
1610C23—2362no—
1611C23—2362no—
1612C23—2362no—
1613C23—2362no—
1614C23—2362no—
1615C23—2362no—
1616C23—2362no—
1617C23C2×D4×D5911yescharacteristic
1618Q8—21no—
1619Q8—21no—
1620Q8—81no—
1621Q8—1181no—
1622Q8—1181no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—4721no—
1626Q8—2362no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—1181no—
1643D4—1181no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—2362no—
1660D4—2362no—
1661D4—2362no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—591no—
1673C2×C4—592no—
1674C2×C4—592no—
1675C2×C4—591no—
1676C2×C4—591no—
1677C2×C4—591no—
1678C2×C4—591no—
1679C2×C4—591no—
1680C2×C4—1182no—
1681C2×C4—1182no—
1682C2×C4—1182no—
1683C2×C4—1182no—
1684C2×C4—1182no—
1685C2×C4—1182no—
1686C2×C4—1182no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—4721no—
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—2362no—
1704C2×C4—2362no—
1705C2×C4—2362no—
1706C2×C4—2362no—
1707C2×C4—2362no—
1708C2×C4C2×D4×D5911yescharacteristic
1709C2×C4C2×D4×D5911yescharacteristic
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C24×D5911yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1181no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—592no—
1735C22—592no—
1736C22—592no—
1737C22—1181no—
1738C22—1181no—
1739C22—1181no—
1740C22—4724no—
1741C22—4724no—
1742C22—4724no—
1743C22—2364no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—592no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—1181no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4H(5,𝔽2)×D5911yescharacteristic
1776C42−1+4×D5911yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—594no—
1782C2—4721no—
1783C2—4721no—
1784C2—4721no—
1785C2—2361no—
1786C2#537×D5911yescharacteristic
1787C2#576×D5911yescharacteristic
1788C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3257C2
socleC22×C59C23×D4
hypercenter#3257D59
hypocenterC59C2×#3257
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #542×D59C2semidirect
2. #540×D59C2semidirect
3. #21435514C2semidirect
4. #21435513C2semidirect
5. #21435512C2semidirect
6. #21435511C2semidirect
7. #21435510C2semidirect
8. #21435509C2semidirect
9. #21435508C2semidirect
10. #21435507C2semidirect
11. #21435506C2semidirect
12. #21435505C2semidirect
13. #21435504C2semidirect
14. #21435503C2semidirect
15. #21435502C2semidirect
16. #21435501C2semidirect
17. #21435500C2semidirect
18. #479×D59C2semidirect
19. #478×D59C2semidirect
20. #476×D59C2semidirect
21. #474×D59C2semidirect
22. #469×D59C2semidirect
23. #468×D59C2semidirect
24. #466×D59C2semidirect
25. #465×D59C2semidirect
26. #460×D59C2semidirect
27. #463×D59C2semidirect
28. #463×D59C2semidirect
29. #459×D59C2semidirect
30. #424×D59C2semidirect
31. C59×#3257C2semidirect
38. #16838026C22semidirect
39. #16838025C22semidirect
40. #16838024C22semidirect
41. #16838023C22semidirect
43. #16838021C22semidirect
45. #16838019C22semidirect
47. #16838017C22semidirect
49. #16838008C22semidirect
50. #16838007C22semidirect
51. #16838006C22semidirect
52. #16838005C22semidirect
53. #16838005C22semidirect
56. #16838003C22semidirect
57. #16838003C22semidirect
81. #16837712C22semidirect
82. #16837711C22semidirect
83. #16837710C22semidirect
84. #16837709C22semidirect
85. #16837708C22semidirect
86. #16837707C22semidirect
87. #16837706C22semidirect
88. #16837705C22semidirect
89. #16837704C22semidirect
90. #16837703C22semidirect
91. #16837702C22semidirect
92. #16837701C22semidirect
93. #16837700C22semidirect
94. #16837699C22semidirect
95. #16837693C22semidirect
96. #16837692C22semidirect
97. #16837691C22semidirect
98. #16837691C22semidirect
99. #16837690C22semidirect
100. #16837690C22semidirect
101. #16837689C22semidirect
102. #16837683C22semidirect
103. #16837682C22semidirect
104. #16837681C22semidirect
105. #16837681C22semidirect
106. #16837680C22semidirect
107. #16837680C22semidirect
108. #16837679C22semidirect
109. #16837656C22semidirect
110. #16837655C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837653C22semidirect
114. #16837653C22semidirect
115. #16837652C22semidirect
116. #16837651C22semidirect
117. #16837650C22semidirect
118. #16837649C22semidirect
119. #16837648C22semidirect
120. #16837647C22semidirect
121. #16837646C22semidirect
122. #16837645C22semidirect
123. #16837639C22semidirect
124. #16837638C22semidirect
125. #16837637C22semidirect
126. #16837637C22semidirect
127. #16837636C22semidirect
128. #16837636C22semidirect
129. #16837635C22semidirect
130. #16837634C22semidirect
131. #16837633C22semidirect
132. #16837632C22semidirect
133. #16837631C22semidirect
134. #16837630C22semidirect
135. #16837629C22semidirect
136. #16837628C22semidirect
137. #16837620C22semidirect
138. #16837620C22semidirect
139. #16837619C22semidirect
140. #16837619C22semidirect
141. #16837618C22semidirect
142. #16837618C22semidirect
143. #16837617C22semidirect
144. #16837617C22semidirect
145. #16837616C22semidirect
146. #16837616C22semidirect
147. #16837615C22semidirect
148. #16837615C22semidirect
149. #16837614C22semidirect
150. #16837614C22semidirect
151. #16837603C22semidirect
152. #16837602C22semidirect
153. #16837601C22semidirect
154. #16837601C22semidirect
155. #16837600C22semidirect
156. #16837600C22semidirect
157. #16837599C22semidirect
158. #16837598C22semidirect
159. #16837597C22semidirect
160. #16837596C22semidirect
161. #16837596C22semidirect
162. #16837595C22semidirect
163. #16837595C22semidirect
164. #16837594C22semidirect
169. #16837430C22semidirect
170. #16837429C22semidirect
171. #16837428C22semidirect
172. #16837427C22semidirect
173. #16837427C22semidirect
174. #16837427C22semidirect
175. #16837427C22semidirect
188. C59×#542C22semidirect
189. C59×#540C22semidirect
190. C59×#479C22semidirect
191. C59×#478C22semidirect
192. C59×#476C22semidirect
193. C59×#474C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#466C22semidirect
197. C59×#465C22semidirect
198. C59×#463C22semidirect
199. C59×#463C22semidirect
200. C59×#460C22semidirect
201. C59×#459C22semidirect
202. C59×#424C22semidirect
900. #3257D59direct (N × H)
925. D59#3257direct (N × H)
943. #542C2×D59semidirect
955. #540C2×D59semidirect
984. #479C2×D59semidirect
992. #478C2×D59semidirect
1000. #476C2×D59semidirect
1008. #474C2×D59semidirect
1016. #469C2×D59semidirect
1024. #468C2×D59semidirect
1032. #466C2×D59semidirect
1040. #465C2×D59semidirect
1055. #463C2×D59semidirect
1056. #463C2×D59semidirect
1064. #460C2×D59semidirect
1072. #459C2×D59semidirect
1084. #424C2×D59semidirect
1097. C59C2×#3257semidirect

Maximal subgroups

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

subgroupindex
#542×D592
#540×D592
#214355142
#214355132
#214355122
#214355112
#214355102
#214355092
#214355082
#214355072
#214355062
#214355052
#214355042
#214355032
#214355022
#214355012
#214355002
#479×D592
#478×D592
#476×D592
#474×D592
#469×D592
#468×D592
#466×D592
#465×D592
#460×D592
#463×D592
#459×D592
#424×D592
C59×#32572
C2×#325759