Finite Group Databasebeta

← #29466445

Subgroups — #29466445

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437798C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic, complemented
3#21436431C211yesmaximal, characteristic, complemented
4#21436430C211yesmaximal, characteristic, complemented
5#21436304C211yesmaximal, characteristic, complemented
6#21436303C211yesmaximal, characteristic, complemented
7#21436176C211yesmaximal, characteristic, complemented
8#21436175C211yesmaximal, characteristic, complemented
9#21436119C211yesmaximal, characteristic, complemented
10#21436115C211yesmaximal, characteristic, complemented
11#21436107C211yesmaximal, characteristic, complemented
12#21436106C211yesmaximal, characteristic, complemented
13#21436091C211yesmaximal, characteristic, complemented
14#21435983C211yesmaximal, characteristic, complemented
15#21435979C211yesmaximal, characteristic, complemented
16#21435904C211yesmaximal, characteristic, complemented
17#21435903C211yesmaximal, characteristic, complemented
18#21434447C211yesmaximal, characteristic, complemented
19#21434075C211yesmaximal, characteristic, complemented
20#480×D59C211yesmaximal, characteristic, complemented
21#21433944C211yesmaximal, characteristic, complemented
22#21433764C211yesmaximal, characteristic, complemented
23#21433712C211yesmaximal, characteristic, complemented
24#21433636C211yesmaximal, characteristic, complemented
25#21433398C211yesmaximal, characteristic, complemented
26#21433313C211yesmaximal, characteristic, complemented
27#21432968C211yesmaximal, characteristic, complemented
28#21432822C211yesmaximal, characteristic, complemented
29#21432620C211yesmaximal, characteristic, complemented
30C2×#16837402C211yesmaximal, characteristic, complemented
31C59×#3308C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273748C2211yescharacteristic
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C22×#11745659C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838106—21no—
42#16838102C2211yescharacteristic, complemented
43#16838099C2211yescharacteristic, complemented
44#16838097—21no—
45#16838092C2211yescharacteristic, complemented
46#16838089—21no—
47#16838087C2211yescharacteristic, complemented
48#16838074C2211yescharacteristic
49#16838071C2211yescharacteristic
50#16838063C2211yescharacteristic
51#16838052C2211yescharacteristic, complemented
52#16838051—21no—
53#16838045—21no—
54#16838045C2211yescharacteristic
55#16838043—21no—
56#16838043C2211yescharacteristic
57D4×D236—21no—
58D4×D236C2211yescharacteristic
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838029C2211yescharacteristic, complemented
62#16837998—21no—
63#16837995—21no—
64#16837982—21no—
65#16837982C2211yescharacteristic
66#16837981C2211yescharacteristic, complemented
67#16837970—21no—
68#16837970C2211yescharacteristic
69#16837912C2211yescharacteristic, complemented
70#16837911—21no—
71#16837911C2211yescharacteristic
72#16837910—21no—
73#16837909—21no—
74#121×D59—21no—
75#121×D59C2211yescharacteristic
76#16837884C2211yescharacteristic
77#16837883C2211yescharacteristic, complemented
78#16837881C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837767C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837756C2211yescharacteristic, complemented
85#16837750C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837741C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837717C2211yescharacteristic, complemented
93#16837717C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837715C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837642C2211yescharacteristic, complemented
116#16837641C2211yescharacteristic, complemented
117#16837637C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837558C2211yescharacteristic, complemented
134#16837555C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837546C2211yescharacteristic, complemented
140#16837535C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837504C2211yescharacteristic, complemented
144#16837503C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146C4×#11745672C2211yescharacteristic, complemented
147#16837494C2211yescharacteristic, complemented
148C4×#11745669C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837479C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837475C2211yescharacteristic, complemented
153#16837470C2211yescharacteristic, complemented
154#16837470C2211yescharacteristic, complemented
155D4×C59⋊C8C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#107×D59C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837408C2211yescharacteristic, complemented
162#16837405C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic, complemented
164#16837402C2211yescharacteristic
165#16837402C2211yescharacteristic
166#16837402C2211yescharacteristic, complemented
167#16837402C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837398C2211yescharacteristic, complemented
175#16837397C2211yescharacteristic
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178C2×#14273651C2211yescharacteristic, complemented
179C2×#14273649C2211yescharacteristic, complemented
180C2×#14273647C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#548C2211yescharacteristic
189C59×#547C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—24no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685C2311yescharacteristic
216C2×#11745687—21no—
217C2×#11745687C2311yescharacteristic
218C22×D236—21no—
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232#14273751—42no—
233#14273748—24no—
234#14273748—42no—
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244#14273735—42no—
245C2×#11745659—42no—
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C22×C59⋊C8C2311yescharacteristic
252C22×C59⋊C8C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256#14273726C2311yescharacteristic
257#14273725—21no—
258#14273724—21no—
259#14273724C2311yescharacteristic
260#14273723—21no—
261#14273723C2311yescharacteristic
262#14273722—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273719C2311yescharacteristic
267#14273718—21no—
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273716—21no—
274#14273716C2311yescharacteristic
275#14273712—21no—
276#14273712D411yescharacteristic
277#14273710—21no—
278#14273710—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709D411yescharacteristic
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273707C2311yescharacteristic
287#14273707C2311yescharacteristic
288#14273706—21no—
289#14273706C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273705D411yescharacteristic
295#14273704—21no—
296#14273704—21no—
297#14273704D411yescharacteristic
298#14273703—21no—
299#14273703—21no—
300#14273703—21no—
301#14273703—21no—
302#14273703C2311yescharacteristic
303#14273702—21no—
304#14273702—21no—
305#14273702—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701—21no—
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700D411yescharacteristic
324#14273699—21no—
325#14273699—21no—
326#14273699D411yescharacteristic
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697D411yescharacteristic
341#14273695—21no—
342#14273695—21no—
343#14273695D411yescharacteristic
344Q8×Dic59C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346#14273692—21no—
347#14273692C2311yescharacteristic
348C4×D236—21no—
349C4×D236—21no—
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352D4×Dic59—21no—
353D4×Dic59C2311yescharacteristic
354#14273689—21no—
355#14273689—21no—
356#14273689—21no—
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59C2311yescharacteristic
366C4×C22⋊D59C2311yescharacteristic
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370#14273686—21no—
371#14273686C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273684—21no—
375#14273684C2311yescharacteristic
376#14273683—21no—
377#14273683—21no—
378C2×C4⋊Dic59C2311yescharacteristic
379C2×Dic59⋊C4—21no—
380C2×Dic59⋊C4—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273637C2311yescharacteristic
442C4×C59⋊C8C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59—21no—
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—41no—
494#41×C59—82no—
495C2×Q8×C59—21no—
496C2×Q8×C59—21no—
497C2×Q8×C59—22no—
498C2×Q8×C59—41no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59C2×D411yescharacteristic
533#11745689—22no—
534#11745689—22no—
535#11745689—22no—
536#11745689—22no—
537#11745689—22no—
538#11745689—22no—
539#11745689—44no—
540#11745689—41no—
541#11745689—41no—
542#11745689—41no—
543#11745689—44no—
544#11745689#4114yescomplemented
545#11745687—22no—
546#11745687—22no—
547#11745687—82no—
548D4×D59—22no—
549D4×D59—22no—
550D4×D59—22no—
551D4×D59—41no—
552D4×D59—44no—
553D4×D59—44no—
554D4×D59—82no—
555D4×D59—82no—
556D4×D59—82no—
557#11745685—22no—
558#11745685—22no—
559#11745685—44no—
560C2×D236—21no—
561C2×D236—22no—
562C2×D236—22no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—41no—
574C2×D236—41no—
575C2×D236—44no—
576C2×D236—44no—
577C2×D236C2×D411yescharacteristic
578C2×D236C2×D411yescharacteristic
579C2×D236C2411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×C4×D59—21no—
583C2×C4×D59—22no—
584C2×C4×D59—22no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—44no—
598C2×C4×D59—82no—
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×Dic118—21no—
605C2×Dic118C2×D411yescharacteristic
606C2×Dic118C2411yescharacteristic
607SD16×C59—22no—
608SD16×C59—41no—
609D8×C59—41no—
610M16×C59—41no—
611C2×C8×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59C2×D411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59C2×D411yescharacteristic
634C22⋊C4×C59C2×D411yescharacteristic
635C42×C59—21no—
636C42×C59C2411yescharacteristic
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646#11745672—22no—
647#11745672—41no—
648#11745670—41no—
649#11745669—22no—
650#11745669—41no—
651#11745669—41no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59C2×D411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4C2×D411yescharacteristic
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
699Dic59⋊C4C2×D411yescharacteristic
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707C2×C59⋊C8—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713#11745660—22no—
714#11745660—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720#11745659—41no—
721C8×D59—22no—
722C8×D59—22no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C22×D59—22no—
729C22×D59—21no—
730C22×D59—22no—
731C22×D59—21no—
732C22×D59—21no—
733C22×D59—41no—
734C22×D59—42no—
735C22×D59—42no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59C22×D411yescharacteristic
747C22×D59C22×D411yescharacteristic
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751Q8×C59—21no—
752Q8×C59—42no—
753Q8×C59—81no—
754Q8×C59C2×#4112yes—
755D4×C59—22no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—21no—
759D4×C59—21no—
760D4×C59—42no—
761D4×C59—42no—
762D4×C59—42no—
763D4×C59—81no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—42no—
775C2×C4×C59—42no—
776C2×C4×C59—42no—
777C2×C4×C59—81no—
778C2×C4×C59—81no—
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C2511yescharacteristic
784C22⋊D59—22no—
785C22⋊D59—22no—
786C22⋊D59—22no—
787C22⋊D59—41no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—42no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C2×Dic59—22no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—42no—
805C2×Dic59—42no—
806C2×Dic59—81no—
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812D236—24no—
813D236—22no—
814D236—21no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—21no—
819D236—41no—
820D236—42no—
821D236—42no—
822D236—42no—
823D236—42no—
824D236—42no—
825D236—42no—
826D236—81no—
827D236—81no—
828D236—81no—
829D236—81no—
830D236C2×#4112yes—
831C4×D59—22no—
832C4×D59—21no—
833C4×D59—21no—
834C4×D59—21no—
835C4×D59—21no—
836C4×D59—22no—
837C4×D59—24no—
838C4×D59—42no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—81no—
843C4×D59—81no—
844C4×D59—81no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59—81no—
848C4×D59—81no—
849C4×D59—81no—
850C4×D59C2×#4112yes—
851C4×D59H(5,𝔽2)12yes—
852Dic118—22no—
853Dic118—21no—
854Dic118—21no—
855Dic118—81no—
856C8×C59—21no—
857C8×C59—21no—
858C8×C59—21no—
859C8×C59—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864#61191—591nomaximal, Sylow
865C22×C59—21no—
866C22×C59—21no—
867C22×C59—21no—
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59#57612yes—
877C22×C59C23×D411yescharacteristic
878C2×D59—21no—
879C2×D59—21no—
880C2×D59—21no—
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—22no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—44no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—84no—
897C2×D59—162no—
898C2×D59—162no—
899C2×D59—162no—
900C2×D59#54612yes—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—22no—
905C4×C59—21no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59C22×#4111yescharacteristic
912C4×C59C2×H(5,𝔽2)11yescharacteristic
913Dic59—21no—
914Dic59—21no—
915Dic59—21no—
916Dic59—21no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922Dic59#54612yes—
923#3492—591no—
924#3488—591no—
925#3333—591no—
926#3333—591no—
927#3322—591no—
928#3322—591no—
929#3314—591no—
930#3314—591no—
931#3310—591no—
932#3310—591no—
933#3309—591no—
934#3309—591no—
935#3308—591no—
936#3308D5911yescharacteristic, complemented
937#3300—591no—
938#3300—591no—
939#3294—591no—
940#3294—591no—
941#3136—591no—
942#3098—591no—
943C2×#480—591no—
944#3083—591no—
945#3061—591no—
946#3055—591no—
947#3045—591no—
948#3012—591no—
949#3002—591no—
950#2951—591no—
951#2933—591no—
952#2897—591no—
953C2×#417—591no—
954C2×C59—22no—
955C2×C59—41no—
956C2×C59—81no—
957C2×C59—81no—
958C2×C59C2×#54611yescharacteristic
959C2×C59C2×#57611yescharacteristic
960C2×C59#358611yescharacteristic
961D59—22no—
962D59—41no—
963D59—41no—
964D59—42no—
965D59—81no—
966D59—81no—
967C2×H(5,𝔽2)—591no—
968C22×#41—591no—
969C2×AGL(1,ℤ/8)—591no—
970C2×#135—591no—
971C2×#135—591no—
972C2×#131—591no—
973C22×M16—591no—
974#554—591no—
975#554—591no—
976#554—1181no—
977#553—591no—
978#553—591no—
979#553—1181no—
980#552—591no—
981#552—591no—
982#552—1181no—
983#550—591no—
984#550—591no—
985#548—591no—
986#548C2×D5911yescharacteristic
987#547—591no—
988#547—1181no—
989#547C2×D5911yescharacteristic, complemented
990#546—591no—
991#546—591no—
992#546—1181no—
993#546—1181no—
994D42—591no—
995D42—591no—
996D42—1181no—
997D42—1181no—
998#544—591no—
999#539—1181no—
1000#539—1181no—
1001#537—591no—
1002#537—591no—
1003#537—1181no—
1004#535—591no—
1005#535—1181no—
1006#525—591no—
1007#525—591no—
1008#525—1181no—
1009#525—1181no—
1010#525—1181no—
1011C2×#121—591no—
1012C2×#121—1181no—
1013#520—591no—
1014#520—591no—
1015#520—591no—
1016C22×C4⋊C4—591no—
1017#490—591no—
1018#490—591no—
1019#489—591no—
1020#489C2×D5911yescharacteristic, complemented
1021#488—591no—
1022#488—591no—
1023#486—591no—
1024#486—591no—
1025#485—591no—
1026#485—591no—
1027#484—591no—
1028#484C2×D5911yescharacteristic, complemented
1029#482—591no—
1030#482—591no—
1031#480—591no—
1032#480—591no—
1033#480—591no—
1034#480—591no—
1035#480—591no—
1036#480—591no—
1037#480—591no—
1038#480—591no—
1039#480—591no—
1040#480C2×D5911yescharacteristic, complemented
1041#479—591no—
1042#479—591no—
1043#478—591no—
1044#478—591no—
1045#477—591no—
1046#477C2×D5911yescharacteristic, complemented
1047#474—591no—
1048#474—591no—
1049#469—591no—
1050#469—591no—
1051#468—591no—
1052#468—591no—
1053#468—591no—
1054#468—591no—
1055#468—591no—
1056#468C2×D5911yescharacteristic, complemented
1057#467—591no—
1058#467—591no—
1059#466—591no—
1060#466—591no—
1061#466—591no—
1062#466C2×D5911yescharacteristic, complemented
1063#465—591no—
1064#465—591no—
1065#464—591no—
1066#464—591no—
1067#463—591no—
1068#463C2×D5911yescharacteristic, complemented
1069#460—591no—
1070#460—591no—
1071#459—591no—
1072#459—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#451—591no—
1078#450—591no—
1079#450—591no—
1080#450—591no—
1081#449—591no—
1082#449—591no—
1083#449—591no—
1084#449C2×D5911yescharacteristic, complemented
1085#448C2×D5911yescharacteristic, complemented
1086#447—591no—
1087#447—591no—
1088#447—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092#440C2×D5911yescharacteristic, complemented
1093C4×Q16—591no—
1094C4×Q16—591no—
1095C4×D8—591no—
1096C4×D8—591no—
1097#436—591no—
1098#436—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#435C2×D5911yescharacteristic, complemented
1103C8×D4—591no—
1104C8×D4—591no—
1105#428—591no—
1106C2×#107—591no—
1107C2×#107—591no—
1108#424—591no—
1109#418—591no—
1110#418—591no—
1111#418—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417—591no—
1116#417—591no—
1117#417—591no—
1118#417—591no—
1119#417—591no—
1120#417—591no—
1121#417—591no—
1122#417C2×D5911yescharacteristic, complemented
1123#416—591no—
1124#416—591no—
1125#416—591no—
1126#416—591no—
1127C2×#103—591no—
1128C2×#103C2×D5911yescharacteristic, complemented
1129C2×#102—591no—
1130C2×#102—591no—
1131C2×#102—591no—
1132C2×#102—591no—
1133C2×#102—591no—
1134C2×#102—591no—
1135#408—591no—
1136C2×C22⋊C8—591no—
1137#405—591no—
1138C59#6119111yescharacteristic, complemented, Sylow
1139H(5,𝔽2)—1184no—
1140H(5,𝔽2)—2362no—
1141C2×#41—21no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—591no—
1146C2×#41—591no—
1147C2×#41—591no—
1148C2×#41—591no—
1149C2×#41—1181no—
1150C2×#41—1181no—
1151C2×#41—1181no—
1152C2×#41—1181no—
1153C2×#41—1184no—
1154C2×#41—2362no—
1155C2×#41C22×D5911yescharacteristic
1156C22×Q8C22×D5911yescharacteristic
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—591no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C23×C4—591no—
1169C23×C4—1181no—
1170C23×C4—1181no—
1171AGL(1,ℤ/8)—2362no—
1172#135—1184no—
1173#135—2362no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×SD16—591no—
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16—591no—
1180C2×SD16C22×D5911yescharacteristic
1181C2×SD16C22×D5911yescharacteristic
1182C2×D8—591no—
1183C2×D8—591no—
1184C2×D8—591no—
1185C2×D8C22×D5911yescharacteristic
1186#131—2362no—
1187C2×M16—591no—
1188C2×M16—591no—
1189C2×M16—591no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—2362no—
1193C2×M16C22×D5911yescharacteristic
1194C22×C8—591no—
1195C22×C8—591no—
1196C22×C8—591no—
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8C22×D5911yescharacteristic
1200C4⋊Q8—591no—
1201C4⋊Q8—1181no—
1202C4⋊Q8C22×D5911yescharacteristic
1203#127—591no—
1204#127—591no—
1205#127—1181no—
1206#127—1181no—
1207#126—1181no—
1208#126—1181no—
1209#126—1181no—
1210#126—1181no—
1211#125—591no—
1212#125—591no—
1213#125—1181no—
1214#125—1181no—
1215#125—1181no—
1216#125—1181no—
1217#125—1181no—
1218#124—21no—
1219#124—591no—
1220#124—1181no—
1221#124C22×D5911yescharacteristic
1222#123—21no—
1223#123—21no—
1224#123—591no—
1225#123—591no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235C22⋊Q8—21no—
1236C22⋊Q8—21no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—591no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8—1181no—
1252C22⋊Q8—1181no—
1253C22⋊Q8—1181no—
1254C22⋊Q8C22×D5911yescharacteristic
1255#121—21no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—591no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121C22×D5911yescharacteristic
1287#121C22×D5911yescharacteristic
1288#121C22×D5911yescharacteristic
1289#120—591no—
1290#120—591no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300C4×Q8—591no—
1301C4×Q8—591no—
1302C4×Q8—591no—
1303C4×Q8—1181no—
1304C4×Q8C22×D5911yescharacteristic
1305C4×D4—21no—
1306C4×D4—591no—
1307C4×D4—591no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—591no—
1311C4×D4—591no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4C22×D5911yescharacteristic
1329C4×D4C22×D5911yescharacteristic
1330#117—591no—
1331#117—591no—
1332#117—591no—
1333#117—591no—
1334#117—1181no—
1335#117—1181no—
1336#117—1181no—
1337#117—1181no—
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—591no—
1341C2×C4⋊C4—591no—
1342C2×C4⋊C4—591no—
1343C2×C4⋊C4—591no—
1344C2×C4⋊C4—591no—
1345C2×C4⋊C4—1181no—
1346C2×C4⋊C4—1181no—
1347C2×C4⋊C4—1181no—
1348C2×C4⋊C4—1181no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4C22×D5911yescharacteristic
1351C2×C4⋊C4C22×D5911yescharacteristic
1352C2×C22⋊C4—1181no—
1353C2×C22⋊C4—1181no—
1354C2×C22⋊C4—1181no—
1355#107—591no—
1356#107—591no—
1357#107—591no—
1358#107—591no—
1359#107—591no—
1360#107—591no—
1361#107—591no—
1362#107C22×D5911yescharacteristic
1363#107C22×D5911yescharacteristic
1364#107C22×D5911yescharacteristic
1365#106—591no—
1366#106—591no—
1367C4⋊C8—591no—
1368C4⋊C8—591no—
1369C4⋊C8—591no—
1370C4⋊C8C22×D5911yescharacteristic
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103C22×D5911yescharacteristic
1380#103C22×D5911yescharacteristic
1381#103C22×D5911yescharacteristic
1382#103C22×D5911yescharacteristic
1383#103C22×D5911yescharacteristic
1384#103C22×D5911yescharacteristic
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102C22×D5911yescharacteristic
1408#102C22×D5911yescharacteristic
1409#102C22×D5911yescharacteristic
1410#102C22×D5911yescharacteristic
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419#97—591no—
1420#97C22×D5911yescharacteristic
1421C4×C8—591no—
1422C4×C8—591no—
1423C24—591no—
1424C24—1181no—
1425C24—1181no—
1426C24—1181no—
1427C24—1181no—
1428#41—22no—
1429#41—41no—
1430#41—82no—
1431#41—594no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—1182no—
1439#41—1182no—
1440#41—1182no—
1441#41—1182no—
1442#41—4722no—
1443#41—2364no—
1444#41—2364no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2364no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—22no—
1452C2×Q8—41no—
1453C2×Q8—591no—
1454C2×Q8—591no—
1455C2×Q8—1181no—
1456C2×Q8C23×D5911yescharacteristic
1457C2×Q8C23×D5911yescharacteristic
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—591no—
1463C2×D4—591no—
1464C2×D4—591no—
1465C2×D4—591no—
1466C2×D4—591no—
1467C2×D4—591no—
1468C2×D4—591no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—1182no—
1472C2×D4—1182no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1182no—
1481C2×D4—1182no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1182no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—4722no—
1498C2×D4—4722no—
1499C2×D4—4722no—
1500C2×D4—2361no—
1501C2×D4—2361no—
1502C2×D4—2364no—
1503C2×D4—2364no—
1504C2×D4—2361no—
1505C2×D4—2364no—
1506C2×D4—2364no—
1507C2×D4D4×D5911yescharacteristic
1508C2×D4C23×D5911yescharacteristic
1509C2×D4C23×D5911yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—591no—
1516C22×C4—591no—
1517C22×C4—591no—
1518C22×C4—591no—
1519C22×C4—591no—
1520C22×C4—591no—
1521C22×C4—1181no—
1522C22×C4—1182no—
1523C22×C4—1182no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—4722no—
1540C22×C4—2364no—
1541C22×C4C23×D5911yescharacteristic
1542C22×C4C23×D5911yescharacteristic
1543Q16—1182no—
1544Q16—2361no—
1545SD16—22no—
1546SD16—41no—
1547SD16—1182no—
1548SD16—2361no—
1549SD16—2361no—
1550SD16—2361no—
1551D8—41no—
1552D8—1182no—
1553D8—2361no—
1554D8—2361no—
1555M16—41no—
1556M16—1182no—
1557M16—1182no—
1558M16—2361no—
1559M16—2361no—
1560M16—2361no—
1561C2×C8—41no—
1562C2×C8—591no—
1563C2×C8—591no—
1564C2×C8—591no—
1565C2×C8—591no—
1566C2×C8—1182no—
1567C2×C8—1182no—
1568C2×C8—2361no—
1569C2×C8—2361no—
1570C2×C8—2361no—
1571C2×C8C23×D5911yescharacteristic
1572C2×C8C23×D5911yescharacteristic
1573C2×C8C23×D5911yescharacteristic
1574C2×C8C23×D5911yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4D4×D5911yescharacteristic
1610C4⋊C4C23×D5911yescharacteristic
1611C4⋊C4C23×D5911yescharacteristic
1612C4⋊C4C23×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4D4×D5911yescharacteristic
1650C22⋊C4D4×D5911yescharacteristic
1651C42—21no—
1652C42—591no—
1653C42—1181no—
1654C42—1181no—
1655C42—1181no—
1656C42—1181no—
1657C42—1181no—
1658C42—1181no—
1659C42C23×D5911yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—591no—
1663C23—591no—
1664C23—591no—
1665C23—1182no—
1666C23—1182no—
1667C23—1181no—
1668C23—1181no—
1669C23—1181no—
1670C23—4721no—
1671C23—4721no—
1672C23—4721no—
1673C23—4721no—
1674C23—4721no—
1675C23—4721no—
1676C23—4721no—
1677C23—2361no—
1678C23—2362no—
1679C23—2362no—
1680C23—2362no—
1681C23—2362no—
1682C23—2362no—
1683C23C2×D4×D5911yescharacteristic
1684C23C2×D4×D5911yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—42no—
1689Q8—81no—
1690Q8—1182no—
1691Q8—1181no—
1692Q8—1181no—
1693Q8—4721no—
1694Q8#41×D5912yes—
1695D4—22no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—42no—
1701D4—42no—
1702D4—42no—
1703D4—81no—
1704D4—592no—
1705D4—1182no—
1706D4—1184no—
1707D4—1182no—
1708D4—1182no—
1709D4—1182no—
1710D4—1181no—
1711D4—1181no—
1712D4—1181no—
1713D4—1181no—
1714D4—1181no—
1715D4—4721no—
1716D4—4721no—
1717D4—4721no—
1718D4—4721no—
1719D4—4721no—
1720D4—4721no—
1721D4—4721no—
1722D4—4721no—
1723D4—4721no—
1724D4—2361no—
1725D4—2362no—
1726D4—2362no—
1727D4—2362no—
1728D4—2362no—
1729D4—2362no—
1730D4—2362no—
1731D4—2362no—
1732D4—2361no—
1733D4—2362no—
1734D4—2362no—
1735D4—2362no—
1736D4—2362no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—42no—
1748C2×C4—42no—
1749C2×C4—42no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4—591no—
1753C2×C4—592no—
1754C2×C4—592no—
1755C2×C4—591no—
1756C2×C4—591no—
1757C2×C4—591no—
1758C2×C4—591no—
1759C2×C4—1182no—
1760C2×C4—1184no—
1761C2×C4—1182no—
1762C2×C4—1182no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—4721no—
1773C2×C4—4721no—
1774C2×C4—4721no—
1775C2×C4—4721no—
1776C2×C4—4721no—
1777C2×C4—4721no—
1778C2×C4—4721no—
1779C2×C4—4721no—
1780C2×C4—4721no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2362no—
1785C2×C4—2362no—
1786C2×C4—2362no—
1787C2×C4C2×D4×D5911yescharacteristic
1788C2×C4C2×D4×D5911yescharacteristic
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C24×D5911yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—592no—
1812C22—1181no—
1813C22—1181no—
1814C22—1181no—
1815C22—1182no—
1816C22—1181no—
1817C22—1181no—
1818C22—1181no—
1819C22—1181no—
1820C22—1181no—
1821C22—9442no—
1822C22—9442no—
1823C22—9442no—
1824C22—4724no—
1825C22—2364no—
1826C22—2361no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22—2361no—
1832C22—2361no—
1833C22—2361no—
1834C22#1683820612yes—
1835C22C22×D4×D5911yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—22no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—592no—
1847C4—1181no—
1848C4—1181no—
1849C4—1181no—
1850C4—1181no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C4C2×#41×D5911yescharacteristic
1857C4H(5,𝔽2)×D5911yescharacteristic
1858C2—22no—
1859C2—41no—
1860C2—81no—
1861C2—81no—
1862C2—1182no—
1863C2—4721no—
1864C2—4721no—
1865C2—2361no—
1866C2—2361no—
1867C2—2362no—
1868C2#546×D5911yescharacteristic
1869C2C2×#1683820611yescharacteristic
1870C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3308C2
socleC22×C59C23×D4
hypercenter#3308D59
hypocenterC59#61191
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21437798C2semidirect
2. #21437762C2semidirect
3. #21436431C2semidirect
4. #21436430C2semidirect
5. #21436304C2semidirect
6. #21436303C2semidirect
7. #21436176C2semidirect
8. #21436175C2semidirect
9. #21436119C2semidirect
10. #21436115C2semidirect
11. #21436107C2semidirect
12. #21436106C2semidirect
13. #21436091C2semidirect
14. #21435983C2semidirect
15. #21435979C2semidirect
16. #21435904C2semidirect
17. #21435903C2semidirect
18. #21434447C2semidirect
19. #21434075C2semidirect
20. #480×D59C2semidirect
21. #21433944C2semidirect
22. #21433764C2semidirect
23. #21433712C2semidirect
24. #21433636C2semidirect
25. #21433398C2semidirect
26. #21433313C2semidirect
27. #21432968C2semidirect
28. #21432822C2semidirect
29. #21432620C2semidirect
30. C2×#16837402C2semidirect
31. C59×#3308C2semidirect
34. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273735C22semidirect
38. C22×#11745659C22semidirect
39. #16838113C22semidirect
40. #16838107C22semidirect
42. #16838102C22semidirect
43. #16838099C22semidirect
45. #16838092C22semidirect
47. #16838087C22semidirect
51. #16838052C22semidirect
61. #16838029C22semidirect
66. #16837981C22semidirect
69. #16837912C22semidirect
77. #16837883C22semidirect
78. #16837881C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837767C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837758C22semidirect
84. #16837756C22semidirect
85. #16837750C22semidirect
86. #16837747C22semidirect
87. #16837741C22semidirect
88. #16837740C22semidirect
89. #16837736C22semidirect
90. #16837729C22semidirect
91. #16837727C22semidirect
92. #16837717C22semidirect
93. #16837717C22semidirect
94. #16837717C22semidirect
95. #16837716C22semidirect
96. #16837715C22semidirect
97. #16837715C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837713C22semidirect
101. #16837709C22semidirect
102. #16837707C22semidirect
103. #16837705C22semidirect
104. #16837703C22semidirect
105. #16837695C22semidirect
106. #16837681C22semidirect
107. #16837679C22semidirect
108. #16837654C22semidirect
109. #16837652C22semidirect
110. #16837649C22semidirect
111. #16837649C22semidirect
112. #16837648C22semidirect
113. #16837647C22semidirect
114. #16837645C22semidirect
115. #16837642C22semidirect
116. #16837641C22semidirect
117. #16837637C22semidirect
118. #16837636C22semidirect
119. #16837636C22semidirect
120. #16837631C22semidirect
121. #16837629C22semidirect
122. #16837627C22semidirect
123. #16837621C22semidirect
124. #16837619C22semidirect
125. #16837603C22semidirect
126. #16837601C22semidirect
127. #16837597C22semidirect
128. #16837595C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837564C22semidirect
133. #16837558C22semidirect
134. #16837555C22semidirect
135. #16837555C22semidirect
136. #16837554C22semidirect
137. #16837546C22semidirect
138. #16837546C22semidirect
139. #16837546C22semidirect
140. #16837535C22semidirect
141. #16837535C22semidirect
142. #16837534C22semidirect
143. #16837504C22semidirect
144. #16837503C22semidirect
145. #16837501C22semidirect
146. C4×#11745672C22semidirect
147. #16837494C22semidirect
148. C4×#11745669C22semidirect
149. #16837482C22semidirect
150. #16837479C22semidirect
151. #16837478C22semidirect
152. #16837475C22semidirect
153. #16837470C22semidirect
154. #16837470C22semidirect
155. D4×C59⋊C8C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837443C22semidirect
158. #107×D59C22semidirect
159. #107×D59C22semidirect
160. #16837427C22semidirect
161. #16837408C22semidirect
162. #16837405C22semidirect
163. #16837405C22semidirect
166. #16837402C22semidirect
167. #16837402C22semidirect
168. #16837402C22semidirect
169. #16837402C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837400C22semidirect
174. #16837398C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. C2×#14273651C22semidirect
179. C2×#14273649C22semidirect
180. C2×#14273647C22semidirect
181. C2×#14273647C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837359C22semidirect
189. C59×#547C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
544. #11745689#41semidirect
936. #3308D59semidirect
989. #547C2×D59semidirect
1020. #489C2×D59semidirect
1028. #484C2×D59semidirect
1040. #480C2×D59semidirect
1046. #477C2×D59semidirect
1056. #468C2×D59semidirect
1062. #466C2×D59semidirect
1068. #463C2×D59semidirect
1084. #449C2×D59semidirect
1085. #448C2×D59semidirect
1092. #440C2×D59semidirect
1102. #435C2×D59semidirect
1122. #417C2×D59semidirect
1128. C2×#103C2×D59semidirect
1138. C59#61191semidirect

Maximal subgroups

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

subgroupindex
#214377982
#214377622
#214364312
#214364302
#214363042
#214363032
#214361762
#214361752
#214361192
#214361152
#214361072
#214361062
#214360912
#214359832
#214359792
#214359042
#214359032
#214344472
#214340752
#480×D592
#214339442
#214337642
#214337122
#214336362
#214333982
#214333132
#214329682
#214328222
#214326202
C2×#168374022
C59×#33082
#6119159