Finite Group Databasebeta

← #29474494

Subgroups — #29474494

Order 15104.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438337C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic
3#21436319C211yesmaximal, characteristic, complemented
4#21436318C211yesmaximal, characteristic, complemented
5#21436227C211yesmaximal, characteristic, complemented
6#21436226C211yesmaximal, characteristic, complemented
7#21436123C211yesmaximal, characteristic, complemented
8#21436119C211yesmaximal, characteristic, complemented
9#21435987C211yesmaximal, characteristic, complemented
10#21435983C211yesmaximal, characteristic, complemented
11D4×#11745671C211yesmaximal, characteristic, complemented
12#21435785C211yesmaximal, characteristic, complemented
13#21435757C211yesmaximal, characteristic, complemented
14#21435756C211yesmaximal, characteristic, complemented
15#21435666C211yesmaximal, characteristic, complemented
16#21435605C211yesmaximal, characteristic, complemented
17#21435599C211yesmaximal, characteristic, complemented
18#21435165C211yesmaximal, characteristic, complemented
19#21435163C211yesmaximal, characteristic, complemented
20#21434982C211yesmaximal, characteristic, complemented
21#21434979C211yesmaximal, characteristic, complemented
22#21434900C211yesmaximal, characteristic, complemented
23#21434848C211yesmaximal, characteristic, complemented
24#21434309C211yesmaximal, characteristic, complemented
25#21434308C211yesmaximal, characteristic, complemented
26#21433372C211yesmaximal, characteristic, complemented
27#21433370C211yesmaximal, characteristic, complemented
28#21433355C211yesmaximal, characteristic, complemented
29C2×#16837563C211yesmaximal, characteristic, complemented
30#21433145C211yesmaximal, characteristic, complemented
31C59×#3270C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273759C2211yescharacteristic, complemented
37C22×#11745671C2211yescharacteristic, complemented
38C22×#11745671C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40#16838153—21no—
41#16838151—21no—
42#16838094C2211yescharacteristic, complemented
43#16838093C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838086C2211yescharacteristic, complemented
46#16838081—21no—
47#16838079—21no—
48#16838074C2211yescharacteristic
49#16838071C2211yescharacteristic
50#16838067C2211yescharacteristic, complemented
51Q8×C22⋊D59C2211yescharacteristic, complemented
52Q8×C22⋊D59C2211yescharacteristic, complemented
53#16838063C2211yescharacteristic
54#16838045—21no—
55#16838045C2211yescharacteristic
56#16838043—21no—
57#16838043C2211yescharacteristic
58D4×D236—21no—
59D4×D236C2211yescharacteristic
60#16838036—21no—
61#16838036C2211yescharacteristic
62#16838031—21no—
63#16838029—21no—
64#16838013C2211yescharacteristic, complemented
65#16838010C2211yescharacteristic, complemented
66#16837998—21no—
67#16837994—21no—
68#16837982—21no—
69#16837982C2211yescharacteristic
70#16837976C2211yescharacteristic, complemented
71#16837975C2211yescharacteristic, complemented
72#16837970—21no—
73#16837970C2211yescharacteristic
74#16837911—21no—
75#16837911C2211yescharacteristic
76C2×#14273703C2211yescharacteristic, complemented
77C22⋊Q8×D59C2211yescharacteristic, complemented
78#121×D59—21no—
79#121×D59C2211yescharacteristic
80#16837884C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837776C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837756C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837657C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837641C2211yescharacteristic, complemented
112#16837640C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837629C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837610C2211yescharacteristic, complemented
122#16837606C2211yescharacteristic, complemented
123#16837604C2211yescharacteristic, complemented
124#16837603C2211yescharacteristic, complemented
125#16837602C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic
129#16837567C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic
132#16837563C2211yescharacteristic
133#16837563C2211yescharacteristic
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837563C2211yescharacteristic, complemented
138#16837563C2211yescharacteristic, complemented
139#16837563C2211yescharacteristic, complemented
140#16837563C2211yescharacteristic, complemented
141#16837563C2211yescharacteristic, complemented
142#16837563C2211yescharacteristic, complemented
143#16837558C2211yescharacteristic, complemented
144#16837556C2211yescharacteristic, complemented
145#16837555C2211yescharacteristic, complemented
146#16837555C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic, complemented
148#16837552C2211yescharacteristic, complemented
149#16837552C2211yescharacteristic, complemented
150#16837551C2211yescharacteristic, complemented
151#16837551C2211yescharacteristic, complemented
152#16837551C2211yescharacteristic, complemented
153#16837551C2211yescharacteristic, complemented
154#16837551C2211yescharacteristic, complemented
155#16837542C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic, complemented
157#16837541C2211yescharacteristic, complemented
158#16837541C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837509C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163Q16×Dic59C2211yescharacteristic, complemented
164C4×#11745672C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837479C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172D4×C59⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837464C2211yescharacteristic, complemented
175#16837462C2211yescharacteristic, complemented
176#16837408C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837398C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182C2×#14273651C2211yescharacteristic, complemented
183C2×#14273649C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic, complemented
189C22×Q16×C59C2211yescharacteristic, complemented
190D4×Q8×C59C2211yescharacteristic, complemented
191C59×#548C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#441C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—42no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C2×Q8×D59C2311yescharacteristic
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×D59C2311yescharacteristic
231#14273759—42no—
232#14273759—42no—
233#14273759—42no—
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745671—42no—
241C2×#11745671—42no—
242C2×#11745671C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251SD16×D59—42no—
252C2×#11745659C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C22×C59⋊C8C2311yescharacteristic
256C22×C59⋊C8C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273726—21no—
259#14273726—21no—
260#14273725—21no—
261#14273725—21no—
262#14273725—21no—
263#14273725C2311yescharacteristic
264#14273724—21no—
265#14273724C2311yescharacteristic
266#14273723—21no—
267#14273723C2311yescharacteristic
268#14273722—21no—
269#14273722—21no—
270#14273722—21no—
271#14273722—21no—
272#14273721—21no—
273#14273721—21no—
274#14273720—21no—
275#14273720—21no—
276#14273719—21no—
277#14273719C2311yescharacteristic
278#14273718—21no—
279#14273718C2311yescharacteristic
280#14273717—21no—
281#14273717—21no—
282#14273717—21no—
283#14273717—21no—
284#14273717—21no—
285#14273717—21no—
286#14273716—21no—
287#14273716—21no—
288#14273716C2311yescharacteristic
289#14273713—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712D411yescharacteristic
294#14273711—21no—
295#14273710—21no—
296#14273710—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709D411yescharacteristic
301#14273708—21no—
302#14273707C2311yescharacteristic
303#14273706—21no—
304#14273706—21no—
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705D411yescharacteristic
312#14273704—21no—
313#14273704D411yescharacteristic
314#14273703—21no—
315#14273703—21no—
316#14273703—21no—
317#14273703—21no—
318#14273703—21no—
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273703C2311yescharacteristic
322#14273703C2311yescharacteristic
323#14273703C2311yescharacteristic
324#14273703C2311yescharacteristic
325#14273703C2311yescharacteristic
326#14273703C2311yescharacteristic
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702—21no—
331#14273702—21no—
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273701—21no—
335#14273701—21no—
336#14273701C2311yescharacteristic
337#14273701C2311yescharacteristic
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700D411yescharacteristic
346#14273699—21no—
347#14273699D411yescharacteristic
348#14273698—21no—
349#14273698C2311yescharacteristic
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697D411yescharacteristic
358#14273695—21no—
359#14273695D411yescharacteristic
360Q8×Dic59C2311yescharacteristic
361Q8×Dic59C2311yescharacteristic
362Q8×Dic59C2311yescharacteristic
363C4×Dic118C2311yescharacteristic
364C4×D236—21no—
365C4×D236—21no—
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368#14273689—21no—
369#14273689—21no—
370#14273689C2311yescharacteristic
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377#14273686C2311yescharacteristic
378#14273685—21no—
379#14273685C2311yescharacteristic
380#14273684—21no—
381#14273684—21no—
382#14273684C2311yescharacteristic
383#14273683—21no—
384#14273683—21no—
385C2×C4⋊Dic59C2311yescharacteristic
386C2×Dic59⋊C4—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59C2311yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273637C2311yescharacteristic
443C4×C59⋊C8C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449#137×C59—42no—
450C2×Q16×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×Q16×C59C2311yescharacteristic
456C2×Q16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×SD16×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59—21no—
463C4⋊Q8×C59C2311yescharacteristic
464#124×C59—21no—
465#124×C59C2311yescharacteristic
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59—21no—
469C22⋊Q8×C59C2311yescharacteristic
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59—21no—
473#121×C59C2311yescharacteristic
474C4×Q8×C59C2311yescharacteristic
475C4×Q8×C59C2311yescharacteristic
476C4×D4×C59—21no—
477C4×D4×C59—21no—
478C4×D4×C59C2311yescharacteristic
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#103×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497C2×Q8×C59—21no—
498C2×Q8×C59—21no—
499C2×Q8×C59—21no—
500C2×Q8×C59—22no—
501C2×Q8×C59—41no—
502C2×Q8×C59—41no—
503C2×Q8×C59—41no—
504C2×Q8×C59—41no—
505C2×Q8×C59—41no—
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59C2×D411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C22×Dic59—21no—
533C22×Dic59C2×D411yescharacteristic
534#11745689—22no—
535#11745689—22no—
536#11745689—22no—
537#11745689—22no—
538#11745689—22no—
539#11745689—41no—
540#11745689—41no—
541#11745689—41no—
542#11745689—41no—
543#11745689—41no—
544#11745689—44no—
545#11745689—44no—
546Q8×D59—41no—
547Q8×D59—41no—
548Q8×D59—41no—
549Q8×D59—41no—
550D4×D59—22no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—44no—
555D4×D59—44no—
556D4×D59—82no—
557D4×D59—82no—
558D4×D59—82no—
559#11745685—41no—
560#11745685—41no—
561#11745685—44no—
562C2×D236—21no—
563C2×D236—22no—
564C2×D236—22no—
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—21no—
574C2×D236—21no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—44no—
578C2×D236—44no—
579C2×D236C2×D411yescharacteristic
580C2×D236C2×D411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×C4×D59—21no—
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—41no—
596C2×C4×D59—41no—
597C2×C4×D59—44no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118C2×D411yescharacteristic
606C2×Dic118C2411yescharacteristic
607Q16×C59—22no—
608Q16×C59—22no—
609Q16×C59—22no—
610Q16×C59—41no—
611Q16×C59—41no—
612Q16×C59—41no—
613SD16×C59—41no—
614SD16×C59—41no—
615SD16×C59—41no—
616M16×C59—41no—
617C2×C8×C59—41no—
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59C2×D411yescharacteristic
639C22⋊C4×C59C2×D411yescharacteristic
640C42×C59—21no—
641C42×C59—21no—
642C42×C59C2411yescharacteristic
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59C2×D411yescharacteristic
648C22⋊Dic59C2×D411yescharacteristic
649#11745672—22no—
650#11745672—41no—
651#11745671—22no—
652#11745671—22no—
653#11745671—22no—
654#11745671—41no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745671—41no—
659#11745671—41no—
660#11745670—41no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4C2×D411yescharacteristic
680(C2×D59)⋊C4C2×D411yescharacteristic
681(C2×D59)⋊C4C2×D411yescharacteristic
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59C2×D411yescharacteristic
692C4⋊Dic59C2411yescharacteristic
693C4⋊Dic59C2411yescharacteristic
694C4⋊Dic59C2411yescharacteristic
695C4⋊Dic59C2411yescharacteristic
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59C2411yescharacteristic
725C2×C59⋊C8—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731#11745660—22no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59C22×D411yescharacteristic
740C23×C59C22×D411yescharacteristic
741C22×D59—21no—
742C22×D59—22no—
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—41no—
746C22×D59—41no—
747C22×D59—42no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59C22×D411yescharacteristic
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—42no—
772Q8×C59—81no—
773Q8×C59—81no—
774Q8×C59H(5,𝔽2)12yes—
775D4×C59—22no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—42no—
779D4×C59—42no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—42no—
792C2×C4×C59—42no—
793C2×C4×C59—81no—
794C2×C4×C59—81no—
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—22no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—41no—
817C2×Dic59—42no—
818C2×Dic59C22×D411yescharacteristic
819C2×Dic59C22×D411yescharacteristic
820C2×Dic59C22×D411yescharacteristic
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823D236—24no—
824D236—21no—
825D236—21no—
826D236—21no—
827D236—21no—
828D236—21no—
829D236—41no—
830D236—41no—
831D236—42no—
832D236—42no—
833D236—42no—
834D236—42no—
835D236—42no—
836D236—42no—
837D236—81no—
838D236—81no—
839D236—81no—
840D236—81no—
841D236H(5,𝔽2)12yes—
842C4×D59—24no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—21no—
849C4×D59—41no—
850C4×D59—41no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—81no—
857C4×D59—81no—
858C4×D59—81no—
859C4×D59—81no—
860C4×D59—81no—
861Dic118—21no—
862Dic118—21no—
863Dic118—41no—
864Dic118—81no—
865Dic118—81no—
866C8×C59—21no—
867C8×C59—21no—
868C8×C59—21no—
869C8×C59—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874#61618—591nomaximal, Sylow
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59#57712yes—
884C22×C59C23×D411yescharacteristic
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—22no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—82no—
904C2×D59—84no—
905C2×D59—162no—
906C2×D59—162no—
907C2×D59—162no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—22no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59C2×H(5,𝔽2)11yescharacteristic
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—21no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59—41no—
931#3538—591no—
932#3488—591no—
933#3323—591no—
934#3323—591no—
935#3317—591no—
936#3317—591no—
937#3310—591no—
938#3310—591no—
939#3300—591no—
940#3300—591no—
941D4×SD16—591no—
942D4×SD16—591no—
943#3278—591no—
944#3278—591no—
945#3270—591no—
946#3270D5911yescharacteristic, complemented
947#3266—591no—
948#3266—591no—
949#3222—591no—
950#3222—591no—
951#3201—591no—
952#3201—591no—
953#3193—591no—
954#3187—591no—
955#3120—591no—
956#3120—591no—
957#3009—591no—
958#3009—591no—
959#3007—591no—
960C2×#452—591no—
961#2976—591no—
962C2×C59—22no—
963C2×C59—41no—
964C2×C59—81no—
965C2×C59#348411yescharacteristic
966C2×C59C2×#57711yescharacteristic
967C2×C59#358611yescharacteristic
968D59—41no—
969D59—41no—
970D59—41no—
971D59—42no—
972D59—81no—
973D59—81no—
974C2×H(5,𝔽2)—591no—
975C22×#41—591no—
976C2×#137—591no—
977C2×#137—591no—
978C2×#137—591no—
979C2×#137C2×D5911yescharacteristic, complemented
980C22×Q16C2×D5911yescharacteristic, complemented
981C22×SD16—591no—
982C22×SD16—591no—
983C22×SD16—591no—
984#563—1181no—
985#563—1181no—
986#552—591no—
987#552—591no—
988#552—591no—
989#552—591no—
990#551—1181no—
991#551—1181no—
992#550—591no—
993#550—591no—
994D4×Q8—591no—
995D4×Q8—591no—
996D4×Q8—591no—
997D4×Q8C2×D5911yescharacteristic, complemented
998#548—591no—
999#548C2×D5911yescharacteristic
1000#546—591no—
1001#546—591no—
1002#546—1181no—
1003#546—1181no—
1004D42—591no—
1005D42—591no—
1006D42—1181no—
1007D42—1181no—
1008#544—1181no—
1009#544—1181no—
1010#541—591no—
1011#541—591no—
1012#539—1181no—
1013#539—1181no—
1014#537—591no—
1015#537—1181no—
1016#536—591no—
1017#536—591no—
1018#535—591no—
1019#535—1181no—
1020#525—591no—
1021#525—1181no—
1022C2×C22⋊Q8—591no—
1023C2×C22⋊Q8—591no—
1024C2×#121—591no—
1025C2×#121—1181no—
1026#520—591no—
1027#497—591no—
1028#497C2×D5911yescharacteristic, complemented
1029#492—591no—
1030#492—591no—
1031#490—591no—
1032#490—591no—
1033#488—591no—
1034#488—591no—
1035#485—591no—
1036#485—591no—
1037#484—591no—
1038#484—591no—
1039#483—591no—
1040#483—591no—
1041#482—591no—
1042#482—591no—
1043#481—591no—
1044#481—591no—
1045#480—591no—
1046#480—591no—
1047#479—591no—
1048#479—591no—
1049#478—591no—
1050#478—591no—
1051#470—591no—
1052#470C2×D5911yescharacteristic, complemented
1053#468—591no—
1054#468—591no—
1055#468—591no—
1056#468—591no—
1057#468—591no—
1058#468—591no—
1059#467—591no—
1060#467—591no—
1061#465—591no—
1062#465—591no—
1063#465—591no—
1064#465—591no—
1065#465—591no—
1066#465C2×D5911yescharacteristic, complemented
1067#464—591no—
1068#464—591no—
1069#464—591no—
1070#464C2×D5911yescharacteristic, complemented
1071#462—591no—
1072#462C2×D5911yescharacteristic, complemented
1073#461—591no—
1074#461—591no—
1075#460—591no—
1076#460—591no—
1077#460—591no—
1078#460—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452C2×D5911yescharacteristic, complemented
1095#451—591no—
1096#451—591no—
1097#451C2×D5911yescharacteristic, complemented
1098#451C2×D5911yescharacteristic, complemented
1099#450—591no—
1100#450—591no—
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#448—591no—
1110#448—591no—
1111#448—591no—
1112#448—591no—
1113#448—591no—
1114#448C2×D5911yescharacteristic, complemented
1115#441—591no—
1116#441C2×D5911yescharacteristic, complemented
1117#440—591no—
1118#440—591no—
1119C4×Q16—591no—
1120C4×Q16—591no—
1121C4×SD16—591no—
1122C4×SD16—591no—
1123#436—591no—
1124#436—591no—
1125#435—591no—
1126#435—591no—
1127#435—591no—
1128#435C2×D5911yescharacteristic, complemented
1129C8×D4—591no—
1130C8×D4—591no—
1131#433—591no—
1132#433—591no—
1133#418—591no—
1134#418—591no—
1135#417—591no—
1136#417—591no—
1137#416—591no—
1138#416—591no—
1139C2×#103—591no—
1140C2×#102—591no—
1141#408—591no—
1142#408—591no—
1143#407—591no—
1144C2×C22⋊C8—591no—
1145C59#6161811yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—2362no—
1147H(5,𝔽2)—2362no—
1148C2×#41—591no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—1181no—
1155C2×#41—1181no—
1156C2×#41—1181no—
1157C2×#41—2362no—
1158C2×#41—2362no—
1159C2×#41C22×D5911yescharacteristic
1160C22×Q8—591no—
1161C22×Q8—591no—
1162C22×Q8C22×D5911yescharacteristic
1163C22×Q8C22×D5911yescharacteristic
1164C22×Q8C22×D5911yescharacteristic
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C23×C4—591no—
1177C23×C4—1181no—
1178#137—42no—
1179#137—2362no—
1180#137—2362no—
1181#137—2362no—
1182C2×Q16—42no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16C22×D5911yescharacteristic
1186C2×Q16C22×D5911yescharacteristic
1187C2×Q16C22×D5911yescharacteristic
1188C2×Q16C22×D5911yescharacteristic
1189C2×Q16C22×D5911yescharacteristic
1190C2×Q16C22×D5911yescharacteristic
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—2362no—
1205C2×SD16—2362no—
1206C2×SD16—2362no—
1207C2×SD16C22×D5911yescharacteristic
1208C2×SD16C22×D5911yescharacteristic
1209C2×SD16C22×D5911yescharacteristic
1210C2×M16—591no—
1211C2×M16—591no—
1212C2×M16—591no—
1213C2×M16C22×D5911yescharacteristic
1214C22×C8—591no—
1215C22×C8—591no—
1216C22×C8—591no—
1217C22×C8C22×D5911yescharacteristic
1218C4⋊Q8—21no—
1219C4⋊Q8—591no—
1220C4⋊Q8—1181no—
1221C4⋊Q8—1181no—
1222C4⋊Q8—1181no—
1223C4⋊Q8—1181no—
1224C4⋊Q8—1181no—
1225C4⋊Q8C22×D5911yescharacteristic
1226#127—591no—
1227#127—591no—
1228#127—1181no—
1229#127—1181no—
1230#126—1181no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#125—591no—
1239#125—591no—
1240#125—1181no—
1241#125—1181no—
1242#125—1181no—
1243#125—1181no—
1244#125—1181no—
1245#125—1181no—
1246#125—1181no—
1247#125—1181no—
1248#124—21no—
1249#124—591no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124C22×D5911yescharacteristic
1254#123—591no—
1255#123—591no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8C22×D5911yescharacteristic
1295C22⋊Q8C22×D5911yescharacteristic
1296C22⋊Q8C22×D5911yescharacteristic
1297#121—21no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121C22×D5911yescharacteristic
1322#120—591no—
1323#120—591no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330#120—1181no—
1331#120—1181no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×Q8—591no—
1335C4×Q8—591no—
1336C4×Q8C22×D5911yescharacteristic
1337C4×Q8C22×D5911yescharacteristic
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—591no—
1341C4×D4—591no—
1342C4×D4—591no—
1343C4×D4—591no—
1344C4×D4—591no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4C22×D5911yescharacteristic
1354#117—591no—
1355#117—591no—
1356#117—591no—
1357#117—1181no—
1358#117—1181no—
1359#117—1181no—
1360#117—1181no—
1361#117—1181no—
1362C2×C4⋊C4—591no—
1363C2×C4⋊C4—591no—
1364C2×C4⋊C4—591no—
1365C2×C4⋊C4—1181no—
1366C2×C4⋊C4—1181no—
1367C2×C4⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C22⋊C4—1181no—
1373#107—591no—
1374#107—591no—
1375#107—591no—
1376#107—591no—
1377#106—591no—
1378#106—591no—
1379#106—591no—
1380#106C22×D5911yescharacteristic
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8C22×D5911yescharacteristic
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103C22×D5911yescharacteristic
1397#103C22×D5911yescharacteristic
1398#103C22×D5911yescharacteristic
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102C22×D5911yescharacteristic
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8C22×D5911yescharacteristic
1428C22⋊C8C22×D5911yescharacteristic
1429#97—591no—
1430#97C22×D5911yescharacteristic
1431C4×C8—591no—
1432C4×C8—591no—
1433C24—591no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438#41—22no—
1439#41—41no—
1440#41—1182no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—2361no—
1446#41—2361no—
1447#41—2364no—
1448#41—2361no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2361no—
1453#41—2364no—
1454#41—2364no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—21no—
1458C2×Q8—22no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—591no—
1465C2×Q8—591no—
1466C2×Q8—1181no—
1467C2×Q8—1181no—
1468C2×Q8—2361no—
1469C2×Q8—2361no—
1470C2×Q8—2361no—
1471C2×Q8—2361no—
1472C2×Q8C23×D5911yescharacteristic
1473C2×Q8C23×D5911yescharacteristic
1474C2×Q8C23×D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×Q8C23×D5911yescharacteristic
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—1182no—
1489C2×D4—1182no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1182no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—4722no—
1510C2×D4—4722no—
1511C2×D4—4722no—
1512C2×D4—2361no—
1513C2×D4—2361no—
1514C2×D4—2364no—
1515C2×D4—2364no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2361no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4D4×D5911yescharacteristic
1522C2×D4C23×D5911yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—2361no—
1546C22×C4—2361no—
1547C22×C4—2364no—
1548C22×C4C23×D5911yescharacteristic
1549C22×C4C23×D5911yescharacteristic
1550Q16—22no—
1551Q16—22no—
1552Q16—22no—
1553Q16—41no—
1554Q16—41no—
1555Q16—41no—
1556Q16—1182no—
1557Q16—2361no—
1558SD16—41no—
1559SD16—41no—
1560SD16—41no—
1561SD16—1182no—
1562SD16—1182no—
1563SD16—1182no—
1564SD16—1182no—
1565SD16—2361no—
1566SD16—2361no—
1567SD16—2361no—
1568SD16—2361no—
1569SD16—2361no—
1570SD16—2361no—
1571SD16—2361no—
1572SD16—2361no—
1573SD16—2361no—
1574M16—41no—
1575M16—2361no—
1576M16—2361no—
1577M16—2361no—
1578C2×C8—41no—
1579C2×C8—591no—
1580C2×C8—591no—
1581C2×C8—591no—
1582C2×C8—591no—
1583C2×C8—2361no—
1584C2×C8—2361no—
1585C2×C8—2361no—
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—591no—
1604C4⋊C4—591no—
1605C4⋊C4—591no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4D4×D5911yescharacteristic
1631C4⋊C4C23×D5911yescharacteristic
1632C4⋊C4C23×D5911yescharacteristic
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—591no—
1640C22⋊C4—591no—
1641C22⋊C4—591no—
1642C22⋊C4—591no—
1643C22⋊C4—591no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4D4×D5911yescharacteristic
1670C22⋊C4D4×D5911yescharacteristic
1671C42—21no—
1672C42—21no—
1673C42—591no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42—1181no—
1678C42—1181no—
1679C42—1181no—
1680C42C23×D5911yescharacteristic
1681C23—21no—
1682C23—591no—
1683C23—591no—
1684C23—591no—
1685C23—1182no—
1686C23—1181no—
1687C23—1181no—
1688C23—1181no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—4721no—
1696C23—2361no—
1697C23—2361no—
1698C23—2362no—
1699C23—2362no—
1700C23—2362no—
1701C23—2362no—
1702C23—2362no—
1703C23C2×D4×D5911yescharacteristic
1704C23C2×D4×D5911yescharacteristic
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—21no—
1714Q8—42no—
1715Q8—81no—
1716Q8—81no—
1717Q8—1181no—
1718Q8—1181no—
1719Q8—4721no—
1720Q8—4721no—
1721Q8—2361no—
1722Q8#1427377212yes—
1723D4—22no—
1724D4—21no—
1725D4—21no—
1726D4—42no—
1727D4—42no—
1728D4—592no—
1729D4—1184no—
1730D4—1182no—
1731D4—1181no—
1732D4—1181no—
1733D4—1181no—
1734D4—1181no—
1735D4—1181no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—4721no—
1743D4—4721no—
1744D4—2361no—
1745D4—2361no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2361no—
1753D4—2361no—
1754D4—2361no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—81no—
1772C2×C4—81no—
1773C2×C4—591no—
1774C2×C4—591no—
1775C2×C4—591no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—1184no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—4721no—
1794C2×C4—4721no—
1795C2×C4—2361no—
1796C2×C4—2361no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2361no—
1803C2×C4—2362no—
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C24×D5911yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1181no—
1814C8—1181no—
1815C8—1181no—
1816C8—1181no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—1181no—
1826C22—1181no—
1827C22—1182no—
1828C22—1181no—
1829C22—1181no—
1830C22—1181no—
1831C22—1181no—
1832C22—1181no—
1833C22—1181no—
1834C22—1181no—
1835C22—9442no—
1836C22—9442no—
1837C22—9442no—
1838C22—4724no—
1839C22—4722no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22#1683821112yes—
1849C22C22×D4×D5911yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—22no—
1853C4—21no—
1854C4—21no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—1181no—
1862C4—1181no—
1863C4—1181no—
1864C4—1181no—
1865C4—1181no—
1866C4—2361no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4—2361no—
1871C4H(5,𝔽2)×D5911yescharacteristic
1872C4C2×#1427377211yescharacteristic
1873C2—22no—
1874C2—41no—
1875C2—81no—
1876C2—4721no—
1877C2—4721no—
1878C2—2361no—
1879C2—2361no—
1880C2—2361no—
1881C2—2362no—
1882C2#2143772411yescharacteristic
1883C2C2×#1683821111yescharacteristic
1884C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3270C2
socleC22×C59C23×D4
prime radical#21437762C2
hypercenter#3270D59
hypocenterC59#61618
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. #21438337C2semidirect
3. #21436319C2semidirect
4. #21436318C2semidirect
5. #21436227C2semidirect
6. #21436226C2semidirect
7. #21436123C2semidirect
8. #21436119C2semidirect
9. #21435987C2semidirect
10. #21435983C2semidirect
11. D4×#11745671C2semidirect
12. #21435785C2semidirect
13. #21435757C2semidirect
14. #21435756C2semidirect
15. #21435666C2semidirect
16. #21435605C2semidirect
17. #21435599C2semidirect
18. #21435165C2semidirect
19. #21435163C2semidirect
20. #21434982C2semidirect
21. #21434979C2semidirect
22. #21434900C2semidirect
23. #21434848C2semidirect
24. #21434309C2semidirect
25. #21434308C2semidirect
26. #21433372C2semidirect
27. #21433370C2semidirect
28. #21433355C2semidirect
29. C2×#16837563C2semidirect
30. #21433145C2semidirect
31. C59×#3270C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273759C22semidirect
36. C2×#14273759C22semidirect
37. C22×#11745671C22semidirect
38. C22×#11745671C22semidirect
39. C2×SD16×D59C22semidirect
42. #16838094C22semidirect
43. #16838093C22semidirect
44. #16838092C22semidirect
45. #16838086C22semidirect
50. #16838067C22semidirect
51. Q8×C22⋊D59C22semidirect
52. Q8×C22⋊D59C22semidirect
64. #16838013C22semidirect
65. #16838010C22semidirect
70. #16837976C22semidirect
71. #16837975C22semidirect
76. C2×#14273703C22semidirect
77. C22⋊Q8×D59C22semidirect
81. #16837795C22semidirect
82. #16837776C22semidirect
83. #16837773C22semidirect
84. #16837767C22semidirect
85. #16837765C22semidirect
86. #16837758C22semidirect
87. #16837756C22semidirect
88. #16837742C22semidirect
89. #16837740C22semidirect
90. #16837736C22semidirect
91. #16837736C22semidirect
92. #16837734C22semidirect
93. #16837731C22semidirect
94. #16837728C22semidirect
95. #16837727C22semidirect
96. #16837722C22semidirect
97. #16837719C22semidirect
98. #16837716C22semidirect
99. #16837713C22semidirect
100. #16837711C22semidirect
101. #16837709C22semidirect
102. #16837703C22semidirect
103. #16837701C22semidirect
104. #16837657C22semidirect
105. #16837651C22semidirect
106. #16837651C22semidirect
107. #16837651C22semidirect
108. #16837648C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837641C22semidirect
112. #16837640C22semidirect
113. #16837634C22semidirect
114. #16837633C22semidirect
115. #16837633C22semidirect
116. #16837631C22semidirect
117. #16837629C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837621C22semidirect
121. #16837610C22semidirect
122. #16837606C22semidirect
123. #16837604C22semidirect
124. #16837603C22semidirect
125. #16837602C22semidirect
126. #16837600C22semidirect
127. #16837600C22semidirect
129. #16837567C22semidirect
130. #16837564C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837563C22semidirect
138. #16837563C22semidirect
139. #16837563C22semidirect
140. #16837563C22semidirect
141. #16837563C22semidirect
142. #16837563C22semidirect
143. #16837558C22semidirect
144. #16837556C22semidirect
145. #16837555C22semidirect
146. #16837555C22semidirect
147. #16837554C22semidirect
148. #16837552C22semidirect
149. #16837552C22semidirect
150. #16837551C22semidirect
151. #16837551C22semidirect
152. #16837551C22semidirect
153. #16837551C22semidirect
154. #16837551C22semidirect
155. #16837542C22semidirect
156. #16837542C22semidirect
157. #16837541C22semidirect
158. #16837541C22semidirect
159. #16837539C22semidirect
160. #16837509C22semidirect
161. #16837505C22semidirect
162. #16837504C22semidirect
163. Q16×Dic59C22semidirect
164. C4×#11745672C22semidirect
165. C4×#11745671C22semidirect
166. #16837487C22semidirect
167. #16837479C22semidirect
168. #16837478C22semidirect
169. #16837475C22semidirect
170. #16837473C22semidirect
171. #16837470C22semidirect
172. D4×C59⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837464C22semidirect
175. #16837462C22semidirect
176. #16837408C22semidirect
177. #16837405C22semidirect
178. #16837402C22semidirect
179. #16837402C22semidirect
180. #16837398C22semidirect
181. #16837397C22semidirect
182. C2×#14273651C22semidirect
183. C2×#14273649C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. C2×(C2×D59)⋊C8C22semidirect
188. C2×#137×C59C22semidirect
189. C22×Q16×C59C22semidirect
190. D4×Q8×C59C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
194. C59×#465C22semidirect
195. C59×#464C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#451C22semidirect
200. C59×#448C22semidirect
201. C59×#441C22semidirect
202. C59×#435C22semidirect
946. #3270D59semidirect
979. C2×#137C2×D59semidirect
980. C22×Q16C2×D59semidirect
997. D4×Q8C2×D59semidirect
1028. #497C2×D59semidirect
1052. #470C2×D59semidirect
1066. #465C2×D59semidirect
1070. #464C2×D59semidirect
1072. #462C2×D59semidirect
1094. #452C2×D59semidirect
1097. #451C2×D59semidirect
1098. #451C2×D59semidirect
1114. #448C2×D59semidirect
1116. #441C2×D59semidirect
1128. #435C2×D59semidirect
1145. C59#61618semidirect

Maximal subgroups

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

subgroupindex
#214383372
#214377622
#214363192
#214363182
#214362272
#214362262
#214361232
#214361192
#214359872
#214359832
D4×#117456712
#214357852
#214357572
#214357562
#214356662
#214356052
#214355992
#214351652
#214351632
#214349822
#214349792
#214349002
#214348482
#214343092
#214343082
#214333722
#214333702
#214333552
C2×#168375632
#214331452
C59×#32702
#6161859