Finite Group Databasebeta

← #29483837

Subgroups — #29483837

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438421C211yesmaximal, characteristic, complemented
2#21438159C211yesmaximal, characteristic, complemented
3#21437167C211yesmaximal, characteristic, complemented
4#21437120C211yesmaximal, characteristic, complemented
5#21436847C211yesmaximal, characteristic, complemented
6#21436800C211yesmaximal, characteristic, complemented
7#21436325C211yesmaximal, characteristic, complemented
8#21436291C211yesmaximal, characteristic, complemented
9#21436225C211yesmaximal, characteristic, complemented
10#21436133C211yesmaximal, characteristic, complemented
11#21436113C211yesmaximal, characteristic, complemented
12#21435707C211yesmaximal, characteristic, complemented
13#21435692C211yesmaximal, characteristic, complemented
14#21435633C211yesmaximal, characteristic, complemented
15#21435626C211yesmaximal, characteristic, complemented
16#21435583C211yesmaximal, characteristic, complemented
17#21435574C211yesmaximal, characteristic, complemented
18#21435544C211yesmaximal, characteristic, complemented
19#21435500C211yesmaximal, characteristic, complemented
20#21435491C211yesmaximal, characteristic, complemented
21#21435186C211yesmaximal, characteristic, complemented
22#21435169C211yesmaximal, characteristic, complemented
23#21435112C211yesmaximal, characteristic, complemented
24#21434338C211yesmaximal, characteristic, complemented
25#21434290C211yesmaximal, characteristic, complemented
26#21434200C211yesmaximal, characteristic, complemented
27#21433640C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#21433575C211yesmaximal, characteristic, complemented
30#21433267C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273749C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic, complemented
38#16838141—21no—
39#16838140—21no—
40#16838135C2211yescharacteristic, complemented
41#16838122C2211yescharacteristic, complemented
42#16838120C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838099—21no—
45#16838088—21no—
46#16838087C2211yescharacteristic, complemented
47#16838081—21no—
48#16838075—21no—
49#16838072C2211yescharacteristic, complemented
50#16838070C2211yescharacteristic
51#16838057C2211yescharacteristic, complemented
52#16838049C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic, complemented
55#16838046C2211yescharacteristic
56#16838039—21no—
57#16838036C2211yescharacteristic
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838019C2211yescharacteristic, complemented
61#16838015C2211yescharacteristic, complemented
62#16838005C2211yescharacteristic, complemented
63#16838003C2211yescharacteristic
64#16838002—21no—
65#16837995—21no—
66#16837984—21no—
67#16837969C2211yescharacteristic, complemented
68#16837967—21no—
69#16837965C2211yescharacteristic
70#16837962—21no—
71#16837961—21no—
72C2×#14273723C2211yescharacteristic, complemented
73#16837934—21no—
74#16837933C2211yescharacteristic, complemented
75#16837933C2211yescharacteristic, complemented
76#16837932C2211yescharacteristic
77#126×D59—21no—
78#16837883C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80#16837870C2211yescharacteristic, complemented
81#16837796C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837790C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic, complemented
85#16837785C2211yescharacteristic, complemented
86#16837774C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837759C2211yescharacteristic, complemented
91#16837747C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837715C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837632C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837623C2211yescharacteristic, complemented
116#16837623C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837617C2211yescharacteristic, complemented
121#16837616C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837608C2211yescharacteristic, complemented
128#16837607C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837601C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837601C2211yescharacteristic, complemented
133#16837601C2211yescharacteristic, complemented
134#16837601C2211yescharacteristic, complemented
135#16837601C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic, complemented
147#16837565C2211yescharacteristic, complemented
148#16837555C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic, complemented
150#16837554C2211yescharacteristic, complemented
151#16837553C2211yescharacteristic, complemented
152#16837553C2211yescharacteristic, complemented
153#16837549C2211yescharacteristic, complemented
154#16837545C2211yescharacteristic
155#16837545C2211yescharacteristic, complemented
156#16837545C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837530C2211yescharacteristic, complemented
161#16837529C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837508C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837489C2211yescharacteristic, complemented
170C4×#11745669C2211yescharacteristic, complemented
171C4×#11745669C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837480C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837476C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837471C2211yescharacteristic, complemented
178#16837464C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837456C2211yescharacteristic, complemented
181#16837428C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837406C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837401C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×C22⋊D59—21no—
210C22×C22⋊D59—21no—
211C22×C22⋊D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215#14273755—42no—
216#14273753—42no—
217#14273753—42no—
218#14273751—42no—
219#14273749—42no—
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241D8×D59—42no—
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273723—21no—
249#14273723—21no—
250#14273723—21no—
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722D411yescharacteristic
260#14273721—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720D411yescharacteristic
268#14273718—21no—
269#14273718—21no—
270#14273718C2311yescharacteristic
271#14273718C2311yescharacteristic
272#14273717—21no—
273#14273717D411yescharacteristic
274#14273715C2311yescharacteristic
275#14273714—21no—
276#14273714C2311yescharacteristic
277#14273714C2311yescharacteristic
278#14273714C2311yescharacteristic
279#14273714C2311yescharacteristic
280#14273713—21no—
281#14273713—21no—
282#14273713D411yescharacteristic
283#14273712—21no—
284#14273711—21no—
285#14273711D411yescharacteristic
286#14273710—21no—
287#14273710—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273708—21no—
297#14273708—21no—
298#14273708—21no—
299#14273708—21no—
300#14273708D411yescharacteristic
301#14273707—21no—
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273706—21no—
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273704—21no—
311#14273704D411yescharacteristic
312#14273702C2311yescharacteristic
313#14273701—21no—
314#14273701C2311yescharacteristic
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699D411yescharacteristic
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698C2311yescharacteristic
336#14273697—21no—
337#14273696—21no—
338#14273696—21no—
339#14273696—21no—
340#14273696—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348C4×Dic118—21no—
349C4×Dic118C2311yescharacteristic
350#14273692C2311yescharacteristic
351#14273692C2311yescharacteristic
352#14273692C2311yescharacteristic
353#14273692C2311yescharacteristic
354#14273692C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357D4×Dic59—21no—
358D4×Dic59—21no—
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59C2311yescharacteristic
371C4×C22⋊D59C2311yescharacteristic
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376#14273686—21no—
377#14273686—21no—
378#14273686C2311yescharacteristic
379#14273685—21no—
380#14273685C2311yescharacteristic
381#14273684—21no—
382#14273684C2311yescharacteristic
383#14273683—21no—
384#14273683—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C2×C22⋊Dic59—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59C2311yescharacteristic
395C42×D59—21no—
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C22×C8×C59C2311yescharacteristic
449#127×C59C2311yescharacteristic
450#126×C59—21no—
451#125×C59C2311yescharacteristic
452#123×C59—21no—
453#121×C59—21no—
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#120×C59—21no—
460#120×C59—21no—
461C4×D4×C59—21no—
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59C2311yescharacteristic
466C2×C4⋊C4×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—41no—
498C2×D4×C59—41no—
499C2×D4×C59—41no—
500C2×D4×C59—41no—
501C2×D4×C59—82no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—82no—
531C2×C22⋊D59—82no—
532C2×C22⋊D59—82no—
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541#11745687—41no—
542#11745687—41no—
543#11745687—82no—
544D4×D59—22no—
545D4×D59—41no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—82no—
549#11745685—22no—
550#11745685—22no—
551#11745685—41no—
552#11745685—41no—
553#11745685—41no—
554#11745685—41no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—41no—
558C2×D236—41no—
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59C2411yescharacteristic
572C2×Dic118—21no—
573C2×Dic118C2×D411yescharacteristic
574C2×Dic118C2411yescharacteristic
575C2×Dic118C2411yescharacteristic
576C2×Dic118C2411yescharacteristic
577D8×C59—41no—
578D8×C59—41no—
579D8×C59—41no—
580M16×C59—41no—
581C2×C8×C59—41no—
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C42×C59—21no—
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⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622C22⋊Dic59C2×D411yescharacteristic
623C22⋊Dic59C2×D411yescharacteristic
624#11745670—41no—
625#11745670—41no—
626#11745670—41no—
627#11745670—41no—
628#11745670—41no—
629#11745670—41no—
630#11745670—41no—
631#11745669—22no—
632#11745669—22no—
633#11745669—22no—
634#11745669—41no—
635#11745669—41no—
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⋊Dic59—21no—
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693#11745664—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698Dic236—41no—
699Dic236—41no—
700D472—22no—
701D472—22no—
702#11745660—22no—
703#11745660—41no—
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59C22×D411yescharacteristic
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—41no—
743D4×C59—42no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C2511yescharacteristic
767C22⋊D59—41no—
768C22⋊D59—41no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—41no—
793C2×Dic59—41no—
794C2×Dic59—42no—
795C2×Dic59—81no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—81no—
811D236—81no—
812D236H(5,𝔽2)12yes—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824Dic118—21no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—21no—
830Dic118—41no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62079—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—162no—
860C22×C59—162no—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—22no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59C2×H(5,𝔽2)11yescharacteristic
886C4×C59#58511yescharacteristic
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3543—591no—
900#3521—591no—
901#3401—591no—
902#3397—591no—
903#3370—591no—
904#3366—591no—
905#3324—591no—
906#3322—591no—
907#3318D5911yescharacteristic, complemented
908#3317—591no—
909#3311—591no—
910#3310—591no—
911#3273—591no—
912#3272—591no—
913#3268—591no—
914#3267—591no—
915#3264—591no—
916#3264—591no—
917#3260—591no—
918#3257—591no—
919#3256—591no—
920#3224—591no—
921#3222—591no—
922#3217—591no—
923#3122—591no—
924#3119—591no—
925#3111—591no—
926#3045—591no—
927#3041—591no—
928#3038—591no—
929#2995—591no—
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59—81no—
936C2×C59#348811yescharacteristic
937C2×C59#358511yescharacteristic
938C2×C59#358511yescharacteristic
939D59—41no—
940D59—42no—
941D59—81no—
942D59—81no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)—591no—
947C2×#135—591no—
948C22×D8—591no—
949#560—1181no—
950#560—1181no—
951#559—591no—
952#556—591no—
953#556—591no—
954#554—591no—
955#553—1181no—
956#553C2×D5911yescharacteristic, complemented
957#552—591no—
958#552—1181no—
959#551—1181no—
960#551—1181no—
961#550—591no—
962#550—591no—
963#547—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—591no—
968#546—1181no—
969D42—591no—
970D42—591no—
971D42—1181no—
972D42C2×D5911yescharacteristic, complemented
973#542—591no—
974#541—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#539—1181no—
979#538—1181no—
980#535—591no—
981#535—591no—
982#535—1181no—
983#534—1181no—
984#534—1181no—
985C2×#127—591no—
986#529—591no—
987#529—591no—
988#529—591no—
989#529—1181no—
990C2×#126—1181no—
991#520—591no—
992#518—591no—
993C4×#41—591no—
994#497—591no—
995#496—591no—
996#496—591no—
997#496—591no—
998#495—591no—
999#492—591no—
1000#490—591no—
1001#490—591no—
1002#490C2×D5911yescharacteristic, complemented
1003#489—591no—
1004#488—591no—
1005#486—591no—
1006#485—591no—
1007#482—591no—
1008#482—591no—
1009#482C2×D5911yescharacteristic, complemented
1010#481C2×D5911yescharacteristic, complemented
1011#480—591no—
1012#479—591no—
1013#479—591no—
1014#479—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478C2×D5911yescharacteristic, complemented
1020#476—591no—
1021#474—591no—
1022#470—591no—
1023#469—591no—
1024#469C2×D5911yescharacteristic
1025#468—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#468—591no—
1030#466C2×D5911yescharacteristic, complemented
1031#465—591no—
1032#465—591no—
1033#465—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#461—591no—
1047#461—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#460—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#459C2×D5911yescharacteristic, complemented
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#452—591no—
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450—591no—
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447C2×D5911yescharacteristic, complemented
1081#447C2×D5911yescharacteristic, complemented
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442C2×D5911yescharacteristic, complemented
1088#441—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092C4×SD16—591no—
1093C4×D8—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435C2×D5911yescharacteristic, complemented
1102#433—591no—
1103#433—591no—
1104#432—591no—
1105#424—591no—
1106#424—591no—
1107#423—591no—
1108#418—591no—
1109#418—591no—
1110#418C2×D5911yescharacteristic, complemented
1111#417—591no—
1112#416—591no—
1113C2×#102C2×D5911yescharacteristic, complemented
1114C59#6207911yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C22×D4—21no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4C22×D5911yescharacteristic
1129C22×D4C22×D5911yescharacteristic
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134#135—2362no—
1135C2×Q16—591no—
1136C2×Q16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—2362no—
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×D8C22×D5911yescharacteristic
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16C22×D5911yescharacteristic
1164C22×C8—591no—
1165C22×C8C22×D5911yescharacteristic
1166C4⋊Q8—591no—
1167C4⋊Q8—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127C22×D5911yescharacteristic
1177#126—21no—
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#126—1181no—
1186#126—1181no—
1187#126—1181no—
1188#126—1181no—
1189#126—1181no—
1190#125—591no—
1191#125—591no—
1192#125—591no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125C22×D5911yescharacteristic
1197#124—591no—
1198#124—591no—
1199#124—591no—
1200#124—591no—
1201#124—591no—
1202#124—591no—
1203#124—1181no—
1204#124—1181no—
1205#124—1181no—
1206#123—21no—
1207#123—591no—
1208#123—591no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236#121—21no—
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
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#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121C22×D5911yescharacteristic
1263#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#120—21no—
1267#120—21no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—1181no—
1287C4×D4—21no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312#117—591no—
1313#117—591no—
1314#117—591no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—1181no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4C22×D5911yescharacteristic
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333C2×C42—1181no—
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#107C22×D5911yescharacteristic
1338#106—591no—
1339#106—591no—
1340#106C22×D5911yescharacteristic
1341#106C22×D5911yescharacteristic
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8—591no—
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102C22×D5911yescharacteristic
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8C22×D5911yescharacteristic
1389C22⋊C8C22×D5911yescharacteristic
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97C22×D5911yescharacteristic
1394C4×C8—591no—
1395C4×C8—591no—
1396C24—21no—
1397C24—21no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—1182no—
1402#41—1182no—
1403#41—4722no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8—591no—
1414C2×Q8—1181no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—82no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1182no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4D4×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489Q16—2361no—
1490Q16—2361no—
1491SD16—1182no—
1492SD16—2361no—
1493SD16—2361no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—41no—
1504D8—41no—
1505D8—41no—
1506D8—1182no—
1507D8—1182no—
1508D8—1182no—
1509D8—1182no—
1510D8—1182no—
1511D8—2361no—
1512D8—2361no—
1513M16—41no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—41no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4D4×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C4⋊C4C23×D5911yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4D4×D5911yescharacteristic
1607C22⋊C4D4×D5911yescharacteristic
1608C42—21no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42—1181no—
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—42no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—81no—
1631C23—591no—
1632C23—1181no—
1633C23—1181no—
1634C23—1181no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23—2362no—
1644C23C2×D4×D5911yescharacteristic
1645C23C2×D4×D5911yescharacteristic
1646Q8—1181no—
1647Q8—1181no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—4721no—
1653Q8—2361no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—41no—
1663D4—42no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—592no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—1181no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—2361no—
1693D4—2361no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2361no—
1737C2×C4—2361no—
1738C2×C4—2362no—
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—162no—
1771C22—162no—
1772C22—1181no—
1773C22—1182no—
1774C22—1181no—
1775C22—1181no—
1776C22—9442no—
1777C22—9442no—
1778C22—9442no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4H(5,𝔽2)×D5911yescharacteristic
1809C4#1683823811yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—81no—
1813C2—81no—
1814C2—81no—
1815C2—81no—
1816C2—4721no—
1817C2—4721no—
1818C2—2361no—
1819C2—2362no—
1820C2#2143775911yescharacteristic
1821C2#2143887111yescharacteristic
1822C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21438421C2semidirect
2. #21438159C2semidirect
3. #21437167C2semidirect
4. #21437120C2semidirect
5. #21436847C2semidirect
6. #21436800C2semidirect
7. #21436325C2semidirect
8. #21436291C2semidirect
9. #21436225C2semidirect
10. #21436133C2semidirect
11. #21436113C2semidirect
12. #21435707C2semidirect
13. #21435692C2semidirect
14. #21435633C2semidirect
15. #21435626C2semidirect
16. #21435583C2semidirect
17. #21435574C2semidirect
18. #21435544C2semidirect
19. #21435500C2semidirect
20. #21435491C2semidirect
21. #21435186C2semidirect
22. #21435169C2semidirect
23. #21435112C2semidirect
24. #21434338C2semidirect
25. #21434290C2semidirect
26. #21434200C2semidirect
27. #21433640C2semidirect
28. #21433594C2semidirect
29. #21433575C2semidirect
30. #21433267C2semidirect
31. C59×#3318C2semidirect
32. C2×#14273755C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273749C22semidirect
37. C2×D8×D59C22semidirect
40. #16838135C22semidirect
41. #16838122C22semidirect
42. #16838120C22semidirect
43. #16838108C22semidirect
46. #16838087C22semidirect
49. #16838072C22semidirect
51. #16838057C22semidirect
52. #16838049C22semidirect
53. #16838049C22semidirect
54. #16838048C22semidirect
60. #16838019C22semidirect
61. #16838015C22semidirect
62. #16838005C22semidirect
67. #16837969C22semidirect
72. C2×#14273723C22semidirect
74. #16837933C22semidirect
75. #16837933C22semidirect
78. #16837883C22semidirect
79. #16837874C22semidirect
80. #16837870C22semidirect
81. #16837796C22semidirect
83. #16837790C22semidirect
84. #16837790C22semidirect
85. #16837785C22semidirect
86. #16837774C22semidirect
87. #16837765C22semidirect
88. #16837765C22semidirect
89. #16837760C22semidirect
90. #16837759C22semidirect
91. #16837747C22semidirect
92. #16837743C22semidirect
93. #16837728C22semidirect
94. #16837725C22semidirect
95. #16837715C22semidirect
96. #16837712C22semidirect
97. #16837712C22semidirect
98. #16837708C22semidirect
99. #16837704C22semidirect
100. #16837704C22semidirect
101. #16837701C22semidirect
102. #16837699C22semidirect
103. #16837690C22semidirect
104. #16837681C22semidirect
105. #16837660C22semidirect
106. #16837653C22semidirect
107. #16837649C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837646C22semidirect
111. #16837646C22semidirect
112. #16837632C22semidirect
113. #16837631C22semidirect
114. #16837630C22semidirect
115. #16837623C22semidirect
116. #16837623C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837618C22semidirect
120. #16837617C22semidirect
121. #16837616C22semidirect
122. #16837616C22semidirect
123. #16837616C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837608C22semidirect
128. #16837607C22semidirect
129. #16837601C22semidirect
130. #16837601C22semidirect
131. #16837601C22semidirect
132. #16837601C22semidirect
133. #16837601C22semidirect
134. #16837601C22semidirect
135. #16837601C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
146. #16837565C22semidirect
147. #16837565C22semidirect
148. #16837555C22semidirect
149. #16837554C22semidirect
150. #16837554C22semidirect
151. #16837553C22semidirect
152. #16837553C22semidirect
153. #16837549C22semidirect
155. #16837545C22semidirect
156. #16837545C22semidirect
157. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837534C22semidirect
160. #16837530C22semidirect
161. #16837529C22semidirect
162. #16837515C22semidirect
163. #16837513C22semidirect
164. #16837511C22semidirect
165. #16837508C22semidirect
166. #16837501C22semidirect
167. #16837499C22semidirect
168. #16837499C22semidirect
169. #16837489C22semidirect
170. C4×#11745669C22semidirect
171. C4×#11745669C22semidirect
172. #16837482C22semidirect
173. #16837480C22semidirect
174. #16837477C22semidirect
175. #16837476C22semidirect
176. #16837473C22semidirect
177. #16837471C22semidirect
178. #16837464C22semidirect
179. #16837460C22semidirect
180. #16837456C22semidirect
181. #16837428C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
184. #16837406C22semidirect
185. #16837405C22semidirect
186. #16837401C22semidirect
187. #16837395C22semidirect
188. C59×#553C22semidirect
189. D42×C59C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
907. #3318D59semidirect
956. #553C2×D59semidirect
972. D42C2×D59semidirect
1002. #490C2×D59semidirect
1009. #482C2×D59semidirect
1010. #481C2×D59semidirect
1019. #478C2×D59semidirect
1030. #466C2×D59semidirect
1063. #459C2×D59semidirect
1080. #447C2×D59semidirect
1081. #447C2×D59semidirect
1087. #442C2×D59semidirect
1101. #435C2×D59semidirect
1110. #418C2×D59semidirect
1113. C2×#102C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214384212
#214381592
#214371672
#214371202
#214368472
#214368002
#214363252
#214362912
#214362252
#214361332
#214361132
#214357072
#214356922
#214356332
#214356262
#214355832
#214355742
#214355442
#214355002
#214354912
#214351862
#214351692
#214351122
#214343382
#214342902
#214342002
#214336402
#214335942
#214335752
#214332672
C59×#33182
#6207959