Finite Group Databasebeta

← #29483854

Subgroups — #29483854

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#21438425C211yesmaximal, characteristic, complemented
2#21438162C211yesmaximal, characteristic, complemented
3#21437160C211yesmaximal, characteristic, complemented
4#21437119C211yesmaximal, characteristic, complemented
5#21436856C211yesmaximal, characteristic, complemented
6#21436802C211yesmaximal, characteristic, complemented
7#21436324C211yesmaximal, characteristic, complemented
8#21436292C211yesmaximal, characteristic, complemented
9#21436243C211yesmaximal, characteristic, complemented
10#21436217C211yesmaximal, characteristic, complemented
11#21436129C211yesmaximal, characteristic, complemented
12#21436123C211yesmaximal, characteristic, complemented
13#21435702C211yesmaximal, characteristic, complemented
14#21435693C211yesmaximal, characteristic, complemented
15#21435633C211yesmaximal, characteristic, complemented
16#21435618C211yesmaximal, characteristic, complemented
17#21435583C211yesmaximal, characteristic, complemented
18#21435582C211yesmaximal, characteristic, complemented
19#21435541C211yesmaximal, characteristic, complemented
20#21435496C211yesmaximal, characteristic, complemented
21#21435184C211yesmaximal, characteristic, complemented
22#21435167C211yesmaximal, characteristic, complemented
23#21435113C211yesmaximal, characteristic, complemented
24#21434341C211yesmaximal, characteristic, complemented
25#21434289C211yesmaximal, characteristic, complemented
26#21434212C211yesmaximal, characteristic, complemented
27#21433637C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#21433573C211yesmaximal, characteristic, complemented
30#21433264C211yesmaximal, characteristic, complemented
31C59×#3257C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273749C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic, complemented
38#16838142—21no—
39#16838140—21no—
40#16838135C2211yescharacteristic, complemented
41#16838126C2211yescharacteristic, complemented
42#16838121C2211yescharacteristic, complemented
43#16838113C2211yescharacteristic, complemented
44#16838104C2211yescharacteristic, complemented
45#16838097—21no—
46#16838094C2211yescharacteristic, complemented
47#16838086—21no—
48#16838079—21no—
49#16838075—21no—
50#16838073C2211yescharacteristic, complemented
51#16838070C2211yescharacteristic
52#16838054C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic, complemented
55#16838047C2211yescharacteristic
56#16838045C2211yescharacteristic, complemented
57#16838044—21no—
58D4×D236C2211yescharacteristic
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838036C2211yescharacteristic, complemented
62#16838010C2211yescharacteristic, complemented
63#16838008C2211yescharacteristic
64#16838004—21no—
65#16837993—21no—
66#16837986—21no—
67#16837971C2211yescharacteristic, complemented
68#16837968—21no—
69#16837965C2211yescharacteristic
70#16837963—21no—
71#16837960—21no—
72#127×D59C2211yescharacteristic, complemented
73#16837937C2211yescharacteristic, complemented
74#16837934C2211yescharacteristic, complemented
75#16837931—21no—
76#16837930C2211yescharacteristic
77#126×D59—21no—
78#16837882C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic
84#16837790C2211yescharacteristic, complemented
85#16837784C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837764C2211yescharacteristic, complemented
91#16837755C2211yescharacteristic, complemented
92#16837750C2211yescharacteristic, complemented
93#16837746C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837708C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837699C2211yescharacteristic, complemented
105#16837661C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic
107#16837651C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837634C2211yescharacteristic, complemented
112#16837632C2211yescharacteristic, complemented
113#16837625C2211yescharacteristic, complemented
114#16837625C2211yescharacteristic, complemented
115#16837624C2211yescharacteristic, complemented
116#16837623C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837618C2211yescharacteristic, complemented
119#16837617C2211yescharacteristic, complemented
120#16837616C2211yescharacteristic, complemented
121#16837616C2211yescharacteristic, complemented
122#16837615C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837603C2211yescharacteristic, complemented
127#16837602C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837599C2211yescharacteristic, complemented
131#16837598C2211yescharacteristic, complemented
132#16837598C2211yescharacteristic, complemented
133#16837597C2211yescharacteristic, complemented
134#16837596C2211yescharacteristic
135#16837596C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837594C2211yescharacteristic, complemented
139#16837567C2211yescharacteristic, complemented
140#16837565C2211yescharacteristic, complemented
141#16837562C2211yescharacteristic, complemented
142#16837561C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837552C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic
149#16837545C2211yescharacteristic, complemented
150#16837545C2211yescharacteristic, complemented
151#16837545C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837535C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837531C2211yescharacteristic, complemented
158#16837529C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837513C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167C4×#11745670C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837463C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837458C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837404C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
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×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×D236—21no—
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218#14273755—42no—
219#14273754—42no—
220#14273754—42no—
221#14273751—42no—
222#14273749—42no—
223C2×Dic236C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243D8×D59—42no—
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273725C2311yescharacteristic
249#14273724C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273723—21no—
252#14273723—21no—
253#14273723—21no—
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273723C2311yescharacteristic
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273722D411yescharacteristic
263#14273721—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273720D411yescharacteristic
269#14273719—21no—
270#14273718—21no—
271#14273718C2311yescharacteristic
272#14273718C2311yescharacteristic
273#14273717—21no—
274#14273717D411yescharacteristic
275#14273716—21no—
276#14273715C2311yescharacteristic
277#14273715C2311yescharacteristic
278#14273714C2311yescharacteristic
279#14273714C2311yescharacteristic
280#14273713—21no—
281#14273713D411yescharacteristic
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712D411yescharacteristic
287#14273711—21no—
288#14273711—21no—
289#14273711—21no—
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709D411yescharacteristic
298#14273707—21no—
299#14273707C2311yescharacteristic
300#14273707C2311yescharacteristic
301#14273707C2311yescharacteristic
302#14273705D411yescharacteristic
303#14273704—21no—
304#14273703—21no—
305#14273703—21no—
306#14273703C2311yescharacteristic
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702C2311yescharacteristic
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273701—21no—
315#14273701—21no—
316#14273701—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700D411yescharacteristic
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346Q8×Dic59—21no—
347Q8×Dic59C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350C4×Dic118C2311yescharacteristic
351#14273692C2311yescharacteristic
352C4×D236—21no—
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356D4×Dic59—21no—
357D4×Dic59C2311yescharacteristic
358#14273689—21no—
359#14273689—21no—
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59C2311yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374#14273686—21no—
375#14273685—21no—
376#14273685—21no—
377#14273685—21no—
378#14273685C2311yescharacteristic
379#14273685C2311yescharacteristic
380#14273684C2311yescharacteristic
381#14273683—21no—
382#14273683—21no—
383C2×C4⋊Dic59C2311yescharacteristic
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C2×(C2×D59)⋊C4—21no—
388C2×(C2×D59)⋊C4—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C42×D59—21no—
394C42×D59C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
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×D59—21no—
488C23×D59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2411yescharacteristic
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—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522#11745689—22no—
523#11745689—41no—
524#11745687—41no—
525#11745687—41no—
526D4×D59—22no—
527D4×D59—41no—
528D4×D59—41no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—41no—
532D4×D59—41no—
533D4×D59—41no—
534D4×D59—82no—
535D4×D59—82no—
536D4×D59—82no—
537D4×D59—82no—
538#11745685—22no—
539#11745685—41no—
540#11745685—41no—
541#11745685—41no—
542#11745685—82no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—41no—
553C2×D236—41no—
554C2×D236—82no—
555C2×D236C2×D411yescharacteristic
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×C4×D59—21no—
561C2×C4×D59—21no—
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×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×Dic118C2×D411yescharacteristic
575C2×Dic118C2411yescharacteristic
576C2×Dic118C2411yescharacteristic
577SD16×C59—41no—
578SD16×C59—41no—
579D8×C59—41no—
580D8×C59—41no—
581M16×C59—41no—
582C2×C8×C59—41no—
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59C2×D411yescharacteristic
608C22⋊C4×C59C2×D411yescharacteristic
609C42×C59—21no—
610C42×C59C2411yescharacteristic
611C42×C59C2411yescharacteristic
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620#11745672—41no—
621#11745671—41no—
622#11745671—41no—
623#11745671—41no—
624#11745670—41no—
625#11745670—41no—
626#11745670—41no—
627#11745669—22no—
628#11745669—22no—
629#11745669—41no—
630#11745669—41no—
631#11745669—41no—
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)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2×D411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697Dic236—41no—
698D472—22no—
699D472—22no—
700D472—22no—
701#11745660—22no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59C22×D411yescharacteristic
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—81no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C2511yescharacteristic
764C22⋊D59—41no—
765C22⋊D59—41no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—81no—
785C2×Dic59—81no—
786C2×Dic59—81no—
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—21no—
799D236—21no—
800D236—41no—
801D236—42no—
802D236—42no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236—81no—
808D236—81no—
809D236—81no—
810D236H(5,𝔽2)12yes—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—41no—
816C4×D59—41no—
817C4×D59—42no—
818C4×D59—42no—
819C4×D59—42no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827Dic118—21no—
828Dic118—21no—
829Dic118—21no—
830Dic118—21no—
831Dic118—41no—
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—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59C23×D411yescharacteristic
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—22no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—162no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59C2×H(5,𝔽2)11yescharacteristic
888C4×C59#58511yescharacteristic
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
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#3318—591no—
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#3257D5911yescharacteristic, complemented
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—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59#348811yescharacteristic
935C2×C59#358511yescharacteristic
936C2×C59#358511yescharacteristic
937D59—41no—
938D59—41no—
939D59—42no—
940D59—81no—
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—591no—
956#553—1181no—
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—591no—
972D42—1181no—
973#542C2×D5911yescharacteristic, complemented
974#541—591no—
975#540—591no—
976#540—1181no—
977#540C2×D5911yescharacteristic, complemented
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#490—591no—
1003#489—591no—
1004#488—591no—
1005#486—591no—
1006#485—591no—
1007#482—591no—
1008#482—591no—
1009#482—591no—
1010#481—591no—
1011#480—591no—
1012#479—591no—
1013#479—591no—
1014#479C2×D5911yescharacteristic, complemented
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478C2×D5911yescharacteristic, complemented
1020#476C2×D5911yescharacteristic, complemented
1021#474C2×D5911yescharacteristic, complemented
1022#470—591no—
1023#469—591no—
1024#469C2×D5911yescharacteristic, complemented
1025#468—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#468C2×D5911yescharacteristic, complemented
1030#466C2×D5911yescharacteristic, complemented
1031#465—591no—
1032#465—591no—
1033#465C2×D5911yescharacteristic, complemented
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#463C2×D5911yescharacteristic, complemented
1045#463C2×D5911yescharacteristic, complemented
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#460C2×D5911yescharacteristic, complemented
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#447—591no—
1081#447—591no—
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
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#435—591no—
1102#433—591no—
1103#433—591no—
1104#432—591no—
1105#424—591no—
1106#424C2×D5911yescharacteristic, complemented
1107#423—591no—
1108#418—591no—
1109#418—591no—
1110#418—591no—
1111#417—591no—
1112#416—591no—
1113C2×#102—591no—
1114C59#6207911yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129C22×D4—1181no—
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×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—2362no—
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⋊Q8C22×D5911yescharacteristic
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—21no—
1198#124—591no—
1199#124—591no—
1200#124—591no—
1201#124—591no—
1202#124—591no—
1203#124—1181no—
1204#124—1181no—
1205#124C22×D5911yescharacteristic
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—591no—
1210#123—591no—
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—21no—
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⋊Q8C22×D5911yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
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#121—1181no—
1263#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#120—1181no—
1267#120—1181no—
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—1181no—
1286C4×Q8C22×D5911yescharacteristic
1287C4×D4—591no—
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—1181no—
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—591no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
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#107C22×D5911yescharacteristic
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⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
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#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
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⋊C8—591no—
1389C22⋊C8—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394C4×C8—591no—
1395C4×C8—591no—
1396C24—1181no—
1397C24—1181no—
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—21no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8—591no—
1414C2×Q8C23×D5911yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
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—1182no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—4722no—
1452C2×D4—4722no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
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—591no—
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×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489Q16—2361no—
1490Q16—2361no—
1491SD16—41no—
1492SD16—41no—
1493SD16—1182no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—41no—
1504D8—41no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—1182no—
1509D8—1182no—
1510D8—2361no—
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—21no—
1531C4⋊C4—21no—
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—591no—
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⋊C4D4×D5911yescharacteristic
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—21no—
1571C22⋊C4—21no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
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—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—591no—
1625C23—591no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—81no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—1181no—
1653Q8—2361no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—592no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
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—2361no—
1691D4—2362no—
1692D4—2362no—
1693D4—2361no—
1694D4—2361no—
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—81no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
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—2361no—
1734C2×C4—2361no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
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—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—1181no—
1765C22—1181no—
1766C22—1182no—
1767C22—1181no—
1768C22—1181no—
1769C22—1181no—
1770C22—1181no—
1771C22—9442no—
1772C22—9442no—
1773C22—9442no—
1774C22—9442no—
1775C22—9442no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
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—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4H(5,𝔽2)×D5911yescharacteristic
1809C4#1683823911yescharacteristic
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—2361no—
1818C2—2361no—
1819C2—2362no—
1820C2#2143776011yescharacteristic
1821C2#2143887111yescharacteristic
1822C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3257C2
socleC22×C59C23×D4
hypercenter#3257D59
hypocenterC59#62079
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. #21438425C2semidirect
2. #21438162C2semidirect
3. #21437160C2semidirect
4. #21437119C2semidirect
5. #21436856C2semidirect
6. #21436802C2semidirect
7. #21436324C2semidirect
8. #21436292C2semidirect
9. #21436243C2semidirect
10. #21436217C2semidirect
11. #21436129C2semidirect
12. #21436123C2semidirect
13. #21435702C2semidirect
14. #21435693C2semidirect
15. #21435633C2semidirect
16. #21435618C2semidirect
17. #21435583C2semidirect
18. #21435582C2semidirect
19. #21435541C2semidirect
20. #21435496C2semidirect
21. #21435184C2semidirect
22. #21435167C2semidirect
23. #21435113C2semidirect
24. #21434341C2semidirect
25. #21434289C2semidirect
26. #21434212C2semidirect
27. #21433637C2semidirect
28. #21433594C2semidirect
29. #21433573C2semidirect
30. #21433264C2semidirect
31. C59×#3257C2semidirect
32. C2×#14273755C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273749C22semidirect
37. C2×D8×D59C22semidirect
40. #16838135C22semidirect
41. #16838126C22semidirect
42. #16838121C22semidirect
43. #16838113C22semidirect
44. #16838104C22semidirect
46. #16838094C22semidirect
50. #16838073C22semidirect
52. #16838054C22semidirect
53. #16838049C22semidirect
54. #16838049C22semidirect
56. #16838045C22semidirect
61. #16838036C22semidirect
62. #16838010C22semidirect
67. #16837971C22semidirect
72. #127×D59C22semidirect
73. #16837937C22semidirect
74. #16837934C22semidirect
78. #16837882C22semidirect
79. #16837874C22semidirect
80. C4×#11745689C22semidirect
81. #16837793C22semidirect
82. #16837792C22semidirect
84. #16837790C22semidirect
85. #16837784C22semidirect
86. #16837773C22semidirect
87. #16837765C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837764C22semidirect
91. #16837755C22semidirect
92. #16837750C22semidirect
93. #16837746C22semidirect
94. #16837729C22semidirect
95. #16837729C22semidirect
96. #16837728C22semidirect
97. #16837718C22semidirect
98. #16837713C22semidirect
99. #16837708C22semidirect
100. #16837706C22semidirect
101. #16837705C22semidirect
102. #16837701C22semidirect
103. #16837701C22semidirect
104. #16837699C22semidirect
105. #16837661C22semidirect
107. #16837651C22semidirect
108. #16837649C22semidirect
109. #16837649C22semidirect
110. #16837647C22semidirect
111. #16837634C22semidirect
112. #16837632C22semidirect
113. #16837625C22semidirect
114. #16837625C22semidirect
115. #16837624C22semidirect
116. #16837623C22semidirect
117. #16837618C22semidirect
118. #16837618C22semidirect
119. #16837617C22semidirect
120. #16837616C22semidirect
121. #16837616C22semidirect
122. #16837615C22semidirect
123. #16837606C22semidirect
124. #16837606C22semidirect
125. #16837603C22semidirect
126. #16837603C22semidirect
127. #16837602C22semidirect
128. #16837600C22semidirect
129. #16837600C22semidirect
130. #16837599C22semidirect
131. #16837598C22semidirect
132. #16837598C22semidirect
133. #16837597C22semidirect
135. #16837596C22semidirect
136. #16837596C22semidirect
137. #16837595C22semidirect
138. #16837594C22semidirect
139. #16837567C22semidirect
140. #16837565C22semidirect
141. #16837562C22semidirect
142. #16837561C22semidirect
143. #16837554C22semidirect
144. #16837554C22semidirect
145. #16837554C22semidirect
146. #16837552C22semidirect
147. #16837551C22semidirect
149. #16837545C22semidirect
150. #16837545C22semidirect
151. #16837545C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837535C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837531C22semidirect
158. #16837529C22semidirect
159. #16837513C22semidirect
160. #16837513C22semidirect
161. #16837512C22semidirect
162. #16837511C22semidirect
163. #16837506C22semidirect
164. #16837505C22semidirect
165. #16837502C22semidirect
166. #16837501C22semidirect
167. C4×#11745670C22semidirect
168. #16837484C22semidirect
169. C4×#11745669C22semidirect
170. #16837482C22semidirect
171. #16837479C22semidirect
172. #16837478C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
175. #16837472C22semidirect
176. #16837471C22semidirect
177. #16837463C22semidirect
178. #16837462C22semidirect
179. #16837458C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837405C22semidirect
183. #16837405C22semidirect
184. #16837405C22semidirect
185. #16837404C22semidirect
186. #16837395C22semidirect
187. C2×#14273649C22semidirect
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
918. #3257D59semidirect
973. #542C2×D59semidirect
977. #540C2×D59semidirect
1014. #479C2×D59semidirect
1019. #478C2×D59semidirect
1020. #476C2×D59semidirect
1021. #474C2×D59semidirect
1024. #469C2×D59semidirect
1029. #468C2×D59semidirect
1030. #466C2×D59semidirect
1033. #465C2×D59semidirect
1044. #463C2×D59semidirect
1045. #463C2×D59semidirect
1054. #460C2×D59semidirect
1063. #459C2×D59semidirect
1106. #424C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214384252
#214381622
#214371602
#214371192
#214368562
#214368022
#214363242
#214362922
#214362432
#214362172
#214361292
#214361232
#214357022
#214356932
#214356332
#214356182
#214355832
#214355822
#214355412
#214354962
#214351842
#214351672
#214351132
#214343412
#214342892
#214342122
#214336372
#214335942
#214335732
#214332642
C59×#32572
#6207959