Finite Group Databasebeta

← #29473999

Subgroups — #29473999

Order 15104.

2392 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437853C211yesmaximal, characteristic, complemented
2#41×C22⋊D59C211yesmaximal, characteristic, complemented
3#21436419C211yesmaximal, characteristic, complemented
4#21436397C211yesmaximal, characteristic, complemented
5#21436091C211yesmaximal, characteristic, complemented
6#21436088C211yesmaximal, characteristic, complemented
7#21436061C211yesmaximal, characteristic, complemented
8#21436058C211yesmaximal, characteristic, complemented
9#21435954C211yesmaximal, characteristic, complemented
10#21435902C211yesmaximal, characteristic, complemented
11#21435785C211yesmaximal, characteristic, complemented
12#21435766C211yesmaximal, characteristic, complemented
13#21435710C211yesmaximal, characteristic, complemented
14#21435690C211yesmaximal, characteristic, complemented
15#21435585C211yesmaximal, characteristic, complemented
16#21435584C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435569C211yesmaximal, characteristic, complemented
19#21435088C211yesmaximal, characteristic, complemented
20#21435027C211yesmaximal, characteristic, complemented
21#21434912C211yesmaximal, characteristic, complemented
22#21434908C211yesmaximal, characteristic, complemented
23#21434861C211yesmaximal, characteristic, complemented
24#21434859C211yesmaximal, characteristic, complemented
25#21434240C211yesmaximal, characteristic, complemented
26#21434149C211yesmaximal, characteristic, complemented
27#21433345C211yesmaximal, characteristic, complemented
28C2×#16837547C211yesmaximal, characteristic, complemented
29#449×D59C211yesmaximal, characteristic, complemented
30#21433132C211yesmaximal, characteristic, complemented
31C59×#3006C211yesmaximal, characteristic, complemented
32C2×#14273772—21no—
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C22×#11745671C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38C22×#11745669C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40#16838071C2211yescharacteristic, complemented
41Q8×C22⋊D59C2211yescharacteristic, complemented
42#16838063C2211yescharacteristic, complemented
43#16838059C2211yescharacteristic, complemented
44#16838053C2211yescharacteristic, complemented
45#16838053C2211yescharacteristic, complemented
46#16838052C2211yescharacteristic
47#16838052C2211yescharacteristic, complemented
48#16838051—21no—
49#16838051C2211yescharacteristic, complemented
50#16838046—21no—
51#16838046C2211yescharacteristic, complemented
52#16838042—21no—
53#16838042—21no—
54#16838041—21no—
55#16838041—21no—
56#16838040—21no—
57#16838040C2211yescharacteristic, complemented
58#16838036C2211yescharacteristic
59#16838036C2211yescharacteristic, complemented
60D4×C22⋊D59—21no—
61D4×C22⋊D59C2211yescharacteristic, complemented
62D4×C22⋊D59C2211yescharacteristic, complemented
63D4×C22⋊D59C2211yescharacteristic, complemented
64#16837979—21no—
65#16837961—21no—
66#16837960—21no—
67#16837948—21no—
68#16837948C2211yescharacteristic, complemented
69#16837947C2211yescharacteristic, complemented
70#16837947C2211yescharacteristic, complemented
71#16837913—21no—
72#16837913C2211yescharacteristic, complemented
73#16837909—21no—
74#16837909C2211yescharacteristic, complemented
75C2×#14273701C2211yescharacteristic, complemented
76#121×D59C2211yescharacteristic, complemented
77#121×D59C2211yescharacteristic, complemented
78#41×Dic59C2211yescharacteristic, complemented
79C2×C4×C22⋊D59—21no—
80C2×C4×C22⋊D59C2211yescharacteristic
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837737C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837652C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837606C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837596C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic, complemented
131#16837595C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic, complemented
140#16837548C2211yescharacteristic, complemented
141#16837547C2211yescharacteristic, complemented
142#16837547C2211yescharacteristic, complemented
143#16837547C2211yescharacteristic, complemented
144#16837547C2211yescharacteristic, complemented
145#16837547C2211yescharacteristic, complemented
146#16837547C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic, complemented
150#16837545C2211yescharacteristic, complemented
151#16837545C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837536C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165SD16×Dic59C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167D8×Dic59C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181C2×#14273651C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×C22⋊(C59⋊C8)C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C22×#41×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
191C2×#121×C59C2211yescharacteristic, complemented
192C59×#449C2211yescharacteristic, complemented
193C59×#449C2211yescharacteristic, complemented
194C59×#449C2211yescharacteristic, complemented
195C59×#449C2211yescharacteristic, complemented
196C59×#448C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#417C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#407C2211yescharacteristic, complemented
203#14273772—48no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215#41×D59—42no—
216#41×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C22×D236C2311yescharacteristic
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C22×C22⋊D59D411yescharacteristic
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C22×C4×D59—21no—
233C22×C4×D59C2311yescharacteristic
234#14273754—42no—
235#14273751—42no—
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745671—42no—
241C2×#11745671C2311yescharacteristic
242C2×#11745671C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245SD16×D59—42no—
246C2×D472C2311yescharacteristic
247C2×D472C2311yescharacteristic
248C2×#11745669—42no—
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255D8×D59—42no—
256C2×#11745659C2311yescharacteristic
257C2×#11745659C2311yescharacteristic
258C22×C59⋊C8C2311yescharacteristic
259C22×C59⋊C8C2311yescharacteristic
260C2×C8×D59C2311yescharacteristic
261C2×C8×D59C2311yescharacteristic
262#14273726C2311yescharacteristic
263#14273726C2311yescharacteristic
264#14273725—21no—
265#14273725C2311yescharacteristic
266#14273723—21no—
267#14273723C2311yescharacteristic
268#14273723C2311yescharacteristic
269#14273723C2311yescharacteristic
270#14273716—21no—
271#14273716C2311yescharacteristic
272#14273714—21no—
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273712—21no—
277#14273712—21no—
278#14273710—21no—
279#14273710—21no—
280#14273710—21no—
281#14273710—21no—
282#14273710—21no—
283#14273709—21no—
284#14273709—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273706—21no—
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273704—21no—
297#14273704—21no—
298#14273703—21no—
299#14273703—21no—
300#14273703C2311yescharacteristic
301#14273703C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701—21no—
305#14273701—21no—
306#14273701—21no—
307#14273701—21no—
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic
336#14273697—21no—
337#14273697—21no—
338#14273696—21no—
339#14273696—21no—
340#14273696—21no—
341#14273696—21no—
342#14273696—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350Q8×Dic59C2311yescharacteristic
351Q8×Dic59C2311yescharacteristic
352D4×Dic59—21no—
353D4×Dic59—21no—
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358#14273689C2311yescharacteristic
359#14273689C2311yescharacteristic
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59D411yescharacteristic
371C4×C22⋊D59D411yescharacteristic
372C4×C22⋊D59D411yescharacteristic
373C4×C22⋊D59D411yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377C4×C22⋊D59C2311yescharacteristic
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273686—21no—
381#14273686C2311yescharacteristic
382C2×C4⋊Dic59C2311yescharacteristic
383C2×Dic59⋊C4—21no—
384C2×Dic59⋊C4D411yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C2×C22⋊Dic59—21no—
388C2×C22⋊Dic59D411yescharacteristic
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4D411yescharacteristic
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59—21no—
395C2×C4×Dic59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273658C2311yescharacteristic
403#14273658C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440#14273637C2311yescharacteristic
441#14273637C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59—21no—
445C2×#41×C59—21no—
446C2×#41×C59—42no—
447C2×#41×C59—42no—
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×#41×C59C2311yescharacteristic
451C2×#41×C59C2311yescharacteristic
452C22×Q8×C59C2311yescharacteristic
453C22×D4×C59—21no—
454C22×D4×C59—21no—
455C22×D4×C59C2311yescharacteristic
456C22×D4×C59C2311yescharacteristic
457C23×C4×C59—21no—
458C23×C4×C59C2311yescharacteristic
459AGL(1,ℤ/8)×C59—42no—
460AGL(1,ℤ/8)×C59—42no—
461C2×SD16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×SD16×C59C2311yescharacteristic
465C2×D8×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C2×D8×C59C2311yescharacteristic
468C2×D8×C59C2311yescharacteristic
469C2×M16×C59C2311yescharacteristic
470C2×M16×C59C2311yescharacteristic
471#121×C59—21no—
472#121×C59—21no—
473#121×C59C2311yescharacteristic
474#121×C59C2311yescharacteristic
475#121×C59C2311yescharacteristic
476#121×C59C2311yescharacteristic
477C2×C4⋊C4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C22⋊C8×C59C2311yescharacteristic
491C24×C59—21no—
492C24×C59—21no—
493C24×C59C2×D411yescharacteristic
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59C2×D411yescharacteristic
499#41×C59—22no—
500#41×C59—22no—
501#41×C59—22no—
502#41×C59—22no—
503#41×C59—41no—
504#41×C59—41no—
505#41×C59—41no—
506#41×C59—41no—
507#41×C59—44no—
508#41×C59—44no—
509C2×Q8×C59—21no—
510C2×Q8×C59—22no—
511C2×Q8×C59—41no—
512C2×Q8×C59C2411yescharacteristic
513C2×Q8×C59C2411yescharacteristic
514C2×D4×C59—21no—
515C2×D4×C59—22no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—21no—
523C2×D4×C59—21no—
524C2×D4×C59—21no—
525C2×D4×C59—41no—
526C2×D4×C59—41no—
527C2×D4×C59—41no—
528C2×D4×C59—44no—
529C2×D4×C59—44no—
530C2×D4×C59C2411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59—41no—
541C22×C4×C59—41no—
542C22×C4×C59—44no—
543C22×C4×C59C2×D411yescharacteristic
544C22×C4×C59C2×D411yescharacteristic
545C22×C4×C59C2×D411yescharacteristic
546C22×C4×C59C2411yescharacteristic
547C22×C4×C59C2411yescharacteristic
548C22×C4×C59C2411yescharacteristic
549C2×C22⋊D59—24no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—21no—
562C2×C22⋊D59—21no—
563C2×C22⋊D59—21no—
564C2×C22⋊D59—21no—
565C2×C22⋊D59—21no—
566C2×C22⋊D59—21no—
567C2×C22⋊D59—21no—
568C2×C22⋊D59—21no—
569C2×C22⋊D59—21no—
570C2×C22⋊D59—21no—
571C2×C22⋊D59—44no—
572C2×C22⋊D59—44no—
573C2×C22⋊D59—44no—
574C2×C22⋊D59—44no—
575C2×C22⋊D59C2×D411yescharacteristic
576C2×C22⋊D59C2×D411yescharacteristic
577C2×C22⋊D59C2×D411yescharacteristic
578C2×C22⋊D59C2×D411yescharacteristic
579C22×Dic59—21no—
580C22×Dic59—21no—
581C22×Dic59—21no—
582C22×Dic59—21no—
583C22×Dic59—21no—
584C22×Dic59—21no—
585C22×Dic59C2×D411yescharacteristic
586C22×Dic59C2×D411yescharacteristic
587C22×Dic59C2×D411yescharacteristic
588#11745689—22no—
589#11745689—41no—
590Q8×D59—22no—
591Q8×D59—41no—
592#11745687—22no—
593#11745687—41no—
594#11745687—44no—
595#11745687—44no—
596#11745687—44no—
597#11745687—44no—
598#11745687—44no—
599D4×D59—22no—
600D4×D59—41no—
601D4×D59—41no—
602D4×D59—41no—
603D4×D59—41no—
604D4×D59—41no—
605D4×D59—44no—
606D4×D59—44no—
607D4×D59—44no—
608D4×D59—44no—
609D4×D59—44no—
610#11745685—41no—
611#11745685—41no—
612#11745685—44no—
613#11745685—44no—
614#11745685—44no—
615C2×D236—21no—
616C2×D236—21no—
617C2×D236—21no—
618C2×D236—21no—
619C2×D236—41no—
620C2×D236—41no—
621C2×D236C2411yescharacteristic
622C2×D236C2411yescharacteristic
623C2×D236C2411yescharacteristic
624C2×C4×D59—21no—
625C2×C4×D59—21no—
626C2×C4×D59—21no—
627C2×C4×D59—21no—
628C2×C4×D59—21no—
629C2×C4×D59—21no—
630C2×C4×D59—21no—
631C2×C4×D59—41no—
632C2×C4×D59—41no—
633C2×C4×D59—44no—
634C2×C4×D59C2×D411yescharacteristic
635C2×C4×D59C2×D411yescharacteristic
636C2×C4×D59C2411yescharacteristic
637C2×C4×D59C2411yescharacteristic
638C2×Dic118—21no—
639C2×Dic118—21no—
640C2×Dic118—21no—
641C2×Dic118C2411yescharacteristic
642SD16×C59—22no—
643SD16×C59—22no—
644SD16×C59—41no—
645SD16×C59—41no—
646D8×C59—22no—
647D8×C59—22no—
648D8×C59—41no—
649D8×C59—41no—
650M16×C59—41no—
651M16×C59—41no—
652C2×C8×C59C2411yescharacteristic
653C2×C8×C59C2411yescharacteristic
654C2×C8×C59C2411yescharacteristic
655C2×C8×C59C2411yescharacteristic
656C4⋊C4×C59—21no—
657C4⋊C4×C59C2411yescharacteristic
658C4⋊C4×C59C2411yescharacteristic
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59—21no—
675C22⋊Dic59—21no—
676C22⋊Dic59C2×D411yescharacteristic
677C22⋊Dic59C2×D411yescharacteristic
678C22⋊Dic59C2×D411yescharacteristic
679C22⋊Dic59C2×D411yescharacteristic
680#11745671—22no—
681#11745671—22no—
682#11745671—41no—
683#11745671—41no—
684#11745670—41no—
685#11745670—41no—
686#11745669—22no—
687#11745669—22no—
688#11745669—41no—
689#11745669—41no—
690#11745669—41no—
691#11745669—41no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4—21no—
706(C2×D59)⋊C4C2×D411yescharacteristic
707(C2×D59)⋊C4C2×D411yescharacteristic
708(C2×D59)⋊C4C2×D411yescharacteristic
709(C2×D59)⋊C4C2×D411yescharacteristic
710C4⋊Dic59—21no—
711C4⋊Dic59—21no—
712C4⋊Dic59—21no—
713C4⋊Dic59C2411yescharacteristic
714C4⋊Dic59C2411yescharacteristic
715C4⋊Dic59C2411yescharacteristic
716C4⋊Dic59C2411yescharacteristic
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722Dic59⋊C4—21no—
723Dic59⋊C4—21no—
724Dic59⋊C4—21no—
725Dic59⋊C4—21no—
726Dic59⋊C4—21no—
727Dic59⋊C4C2×D411yescharacteristic
728Dic59⋊C4C2×D411yescharacteristic
729Dic59⋊C4C2×D411yescharacteristic
730Dic59⋊C4C2×D411yescharacteristic
731C4×Dic59—21no—
732C4×Dic59—21no—
733C4×Dic59—21no—
734C4×Dic59C2×D411yescharacteristic
735C4×Dic59C2×D411yescharacteristic
736C4×Dic59C2411yescharacteristic
737C4×Dic59C2411yescharacteristic
738C2×C59⋊C8—41no—
739C2×C59⋊C8—41no—
740C2×C59⋊C8C2411yescharacteristic
741C2×C59⋊C8C2411yescharacteristic
742C2×C59⋊C8C2411yescharacteristic
743C2×C59⋊C8C2411yescharacteristic
744D472—41no—
745D472—41no—
746#11745660—41no—
747#11745660—41no—
748#11745659—41no—
749#11745659—41no—
750C8×D59—41no—
751C8×D59—41no—
752C23×C59—21no—
753C23×C59—22no—
754C23×C59—21no—
755C23×C59—21no—
756C23×C59—21no—
757C23×C59—41no—
758C23×C59—41no—
759C23×C59—42no—
760C23×C59—42no—
761C23×C59—42no—
762C23×C59—81no—
763C23×C59—81no—
764C23×C59—81no—
765C23×C59C22×D411yescharacteristic
766C23×C59C22×D411yescharacteristic
767C23×C59C22×D411yescharacteristic
768C22×D59—22no—
769C22×D59—21no—
770C22×D59—21no—
771C22×D59—21no—
772C22×D59—41no—
773C22×D59—41no—
774C22×D59—42no—
775C22×D59—42no—
776C22×D59—42no—
777C22×D59—42no—
778C22×D59—42no—
779C22×D59—81no—
780C22×D59—81no—
781C22×D59—81no—
782C22×D59—81no—
783C22×D59—81no—
784C22×D59—81no—
785C22×D59—81no—
786C22×D59C22×D411yescharacteristic
787C22×D59C22×D411yescharacteristic
788Q8×C59—21no—
789Q8×C59—21no—
790Q8×C59—21no—
791Q8×C59—42no—
792Q8×C59H(5,𝔽2)12yescomplemented
793D4×C59—24no—
794D4×C59—21no—
795D4×C59—21no—
796D4×C59—21no—
797D4×C59—21no—
798D4×C59—21no—
799D4×C59—21no—
800D4×C59—21no—
801D4×C59—42no—
802D4×C59—42no—
803D4×C59—42no—
804D4×C59—42no—
805D4×C59—42no—
806D4×C59—42no—
807D4×C59—42no—
808D4×C59—42no—
809D4×C59—81no—
810D4×C59H(5,𝔽2)12yescomplemented
811C2×C4×C59—24no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—21no—
818C2×C4×C59—21no—
819C2×C4×C59—21no—
820C2×C4×C59—21no—
821C2×C4×C59—21no—
822C2×C4×C59—41no—
823C2×C4×C59—41no—
824C2×C4×C59—41no—
825C2×C4×C59—42no—
826C2×C4×C59—42no—
827C2×C4×C59—42no—
828C2×C4×C59—42no—
829C2×C4×C59—42no—
830C2×C4×C59C22×D411yescharacteristic
831C2×C4×C59C22×D411yescharacteristic
832C2×C4×C59C22×D411yescharacteristic
833C2×C4×C59C2511yescharacteristic
834C22⋊D59—22no—
835C22⋊D59—22no—
836C22⋊D59—22no—
837C22⋊D59—42no—
838C22⋊D59—42no—
839C22⋊D59—42no—
840C22⋊D59—42no—
841C22⋊D59—42no—
842C22⋊D59—42no—
843C22⋊D59—42no—
844C22⋊D59—42no—
845C22⋊D59—42no—
846C22⋊D59—42no—
847C22⋊D59—42no—
848C22⋊D59—42no—
849C22⋊D59—42no—
850C22⋊D59—42no—
851C22⋊D59—81no—
852C22⋊D59—81no—
853C22⋊D59—81no—
854C22⋊D59—81no—
855C22⋊D59—81no—
856C22⋊D59—81no—
857C22⋊D59—81no—
858C22⋊D59AGL(1,ℤ/8)14yescomplemented
859C2×Dic59—22no—
860C2×Dic59—21no—
861C2×Dic59—21no—
862C2×Dic59—21no—
863C2×Dic59—21no—
864C2×Dic59—21no—
865C2×Dic59—41no—
866C2×Dic59—41no—
867C2×Dic59—42no—
868C2×Dic59—42no—
869C2×Dic59—42no—
870C2×Dic59—42no—
871C2×Dic59—42no—
872C2×Dic59—81no—
873C2×Dic59C22×D411yescharacteristic
874C2×Dic59C22×D411yescharacteristic
875C2×Dic59C22×D411yescharacteristic
876C2×Dic59C22×D411yescharacteristic
877C2×Dic59C22×D411yescharacteristic
878C2×Dic59C22×D411yescharacteristic
879D236—21no—
880D236—21no—
881D236—21no—
882D236—21no—
883D236—21no—
884D236—21no—
885D236—42no—
886D236—42no—
887D236—42no—
888D236—81no—
889C4×D59—21no—
890C4×D59—21no—
891C4×D59—21no—
892C4×D59—21no—
893C4×D59—41no—
894C4×D59—41no—
895C4×D59—42no—
896C4×D59—42no—
897C4×D59—42no—
898C4×D59—42no—
899C4×D59—42no—
900C4×D59—42no—
901C4×D59—42no—
902Dic118—21no—
903Dic118—21no—
904Dic118—42no—
905Dic118—42no—
906Dic118—42no—
907C8×C59—21no—
908C8×C59—21no—
909C8×C59—21no—
910C8×C59—21no—
911C59⋊C8—21no—
912C59⋊C8—21no—
913C59⋊C8—21no—
914C59⋊C8—21no—
915#61598—591nomaximal, Sylow
916C22×C59—21no—
917C22×C59—21no—
918C22×C59—21no—
919C22×C59—21no—
920C22×C59—21no—
921C22×C59—22no—
922C22×C59—21no—
923C22×C59—21no—
924C22×C59—21no—
925C22×C59—41no—
926C22×C59—41no—
927C22×C59—41no—
928C22×C59—41no—
929C22×C59—41no—
930C22×C59—41no—
931C22×C59—41no—
932C22×C59—41no—
933C22×C59—41no—
934C22×C59—41no—
935C22×C59—41no—
936C22×C59—82no—
937C22×C59—84no—
938C22×C59—162no—
939C22×C59C2×AGL(1,ℤ/8)12yes—
940C22×C59C23×D411yescharacteristic
941C2×D59—21no—
942C2×D59—21no—
943C2×D59—21no—
944C2×D59—21no—
945C2×D59—21no—
946C2×D59—41no—
947C2×D59—41no—
948C2×D59—41no—
949C2×D59—41no—
950C2×D59—41no—
951C2×D59—41no—
952C2×D59—41no—
953C2×D59—41no—
954C2×D59—41no—
955C2×D59—82no—
956C2×D59—84no—
957C2×D59—162no—
958C2×D59—162no—
959C2×D59—162no—
960C2×D59C2×AGL(1,ℤ/8)12yes—
961C4×C59—22no—
962C4×C59—21no—
963C4×C59—21no—
964C4×C59—21no—
965C4×C59—41no—
966C4×C59—41no—
967C4×C59—41no—
968C4×C59C2×H(5,𝔽2)11yescharacteristic
969C4×C59C2×H(5,𝔽2)11yescharacteristic
970Dic59—21no—
971Dic59—21no—
972Dic59—21no—
973Dic59—21no—
974Dic59—21no—
975Dic59—41no—
976Dic59—41no—
977Dic59—41no—
978Dic59—41no—
979Dic59—41no—
980Dic59C2×AGL(1,ℤ/8)12yes—
981#3496—591no—
982D4×#41—591no—
983#3332—591no—
984#3330—591no—
985#3308—591no—
986#3308—591no—
987#3306—591no—
988#3306—591no—
989#3298—591no—
990#3294—591no—
991D4×SD16—591no—
992D4×D8—591no—
993#3274—591no—
994#3272—591no—
995#3265—591no—
996#3265—591no—
997#3264—591no—
998#3264—591no—
999#3214—591no—
1000#3207—591no—
1001#3194—591no—
1002#3194—591no—
1003#3188—591no—
1004#3188—591no—
1005#3115—591no—
1006#3106—591no—
1007#3006—591no—
1008#3006D5911yescharacteristic, complemented
1009C2×#449—591no—
1010C2×#449—591no—
1011#2974—591no—
1012C2×C59—22no—
1013C2×C59—41no—
1014C2×C59—42no—
1015C2×C59—41no—
1016C2×C59—81no—
1017C2×C59—81no—
1018C2×C59—81no—
1019C2×C59#348411yescharacteristic
1020C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
1021C2×C59#358411yescharacteristic
1022D59—22no—
1023D59—41no—
1024D59—81no—
1025D59—81no—
1026D59—81no—
1027C2×H(5,𝔽2)—1181no—
1028C22×#41—591no—
1029C22×#41C2×D5911yescharacteristic, complemented
1030C2×AGL(1,ℤ/8)—591no—
1031C2×AGL(1,ℤ/8)—591no—
1032C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1033C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1034C22×SD16—591no—
1035C22×SD16—591no—
1036C22×D8—591no—
1037C22×D8—591no—
1038#550—591no—
1039D4×Q8—591no—
1040#548—591no—
1041#548—591no—
1042#547—591no—
1043#547—591no—
1044#547—591no—
1045#547—591no—
1046#547—591no—
1047#547—1181no—
1048#546—591no—
1049#546—591no—
1050#546—1181no—
1051#546—1181no—
1052#546—1181no—
1053#546—1181no—
1054#546—1181no—
1055#546—1181no—
1056D42—591no—
1057D42—591no—
1058D42—591no—
1059D42—591no—
1060D42—591no—
1061D42—1181no—
1062#537—1181no—
1063#534—1181no—
1064#534—1181no—
1065#532—591no—
1066#532—591no—
1067#532—591no—
1068#532—1181no—
1069#525—591no—
1070#525—591no—
1071#525—1181no—
1072#525—1181no—
1073C2×#121—591no—
1074C2×#121—591no—
1075C2×#121—591no—
1076C2×#121C2×D5911yescharacteristic, complemented
1077C4×#41—591no—
1078C2×C4×D4—591no—
1079C2×C4×D4—1181no—
1080#496—591no—
1081#496—591no—
1082#493—591no—
1083#492—591no—
1084#489—591no—
1085#489—591no—
1086#487—591no—
1087#486—591no—
1088#484—591no—
1089#484—591no—
1090#483—591no—
1091#483—591no—
1092#482—591no—
1093#482—591no—
1094#482—591no—
1095#482—591no—
1096#481—591no—
1097#481—591no—
1098#480—591no—
1099#480—591no—
1100#477—591no—
1101#476—591no—
1102#475—591no—
1103#474—591no—
1104#469—591no—
1105#469—591no—
1106#469—591no—
1107#469—591no—
1108#468—591no—
1109#468—591no—
1110#468—591no—
1111#468—591no—
1112#466—591no—
1113#466—591no—
1114#466—591no—
1115#466—591no—
1116#465—591no—
1117#465—591no—
1118#465—591no—
1119#465—591no—
1120#463—591no—
1121#463—591no—
1122#463—591no—
1123#463—591no—
1124#461—591no—
1125#461—591no—
1126#460—591no—
1127#460—591no—
1128#459—591no—
1129#459—591no—
1130#459—591no—
1131#459—591no—
1132#450—591no—
1133#450—591no—
1134#450—591no—
1135#450—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449—591no—
1147#449—591no—
1148#449—591no—
1149#449—591no—
1150#449—591no—
1151#449—591no—
1152#449C2×D5911yescharacteristic, complemented
1153#449C2×D5911yescharacteristic, complemented
1154#449C2×D5911yescharacteristic, complemented
1155#449C2×D5911yescharacteristic, complemented
1156#448—591no—
1157#448—591no—
1158#448C2×D5911yescharacteristic, complemented
1159#448C2×D5911yescharacteristic, complemented
1160#447—591no—
1161#447—591no—
1162#447—591no—
1163#447—591no—
1164#447—591no—
1165#447—591no—
1166#447C2×D5911yescharacteristic, complemented
1167#447C2×D5911yescharacteristic, complemented
1168#442—591no—
1169#442—591no—
1170#440—591no—
1171#440—591no—
1172C4×SD16—591no—
1173C4×SD16—591no—
1174C4×D8—591no—
1175C4×D8—591no—
1176#436—591no—
1177#436—591no—
1178#435—591no—
1179#435—591no—
1180#435—591no—
1181#435—591no—
1182C8×D4—591no—
1183C8×D4—591no—
1184#432—591no—
1185#431—591no—
1186#417—591no—
1187#417—591no—
1188#417C2×D5911yescharacteristic, complemented
1189#417C2×D5911yescharacteristic, complemented
1190C2×#103—591no—
1191C2×#103—591no—
1192C2×#102—591no—
1193C2×#102—591no—
1194#407—591no—
1195#407C2×D5911yescharacteristic, complemented
1196C2×C22⋊C8—591no—
1197C2×C22⋊C8—591no—
1198C59#6159811yescharacteristic, complemented, Sylow
1199H(5,𝔽2)—2368no—
1200C2×#41—21no—
1201C2×#41—21no—
1202C2×#41—42no—
1203C2×#41—42no—
1204C2×#41—591no—
1205C2×#41—591no—
1206C2×#41—591no—
1207C2×#41—1181no—
1208C2×#41—1181no—
1209C2×#41—1181no—
1210C2×#41—1181no—
1211C2×#41—1181no—
1212C2×#41—1181no—
1213C2×#41—1181no—
1214C2×#41—1181no—
1215C2×#41—2362no—
1216C2×#41—2362no—
1217C2×#41C22×D5911yescharacteristic
1218C2×#41C22×D5911yescharacteristic
1219C2×#41C22×D5911yescharacteristic
1220C2×#41C22×D5911yescharacteristic
1221C22×Q8—591no—
1222C22×Q8C22×D5911yescharacteristic
1223C22×D4—21no—
1224C22×D4—21no—
1225C22×D4—591no—
1226C22×D4—591no—
1227C22×D4—591no—
1228C22×D4—591no—
1229C22×D4—591no—
1230C22×D4—1181no—
1231C22×D4—1181no—
1232C22×D4—1181no—
1233C22×D4—1181no—
1234C22×D4—1181no—
1235C22×D4—1181no—
1236C22×D4—1181no—
1237C22×D4—1181no—
1238C22×D4—1181no—
1239C22×D4C22×D5911yescharacteristic
1240C22×D4C22×D5911yescharacteristic
1241C23×C4—21no—
1242C23×C4—591no—
1243C23×C4—1181no—
1244C23×C4C22×D5911yescharacteristic
1245AGL(1,ℤ/8)—42no—
1246AGL(1,ℤ/8)—42no—
1247AGL(1,ℤ/8)—2362no—
1248AGL(1,ℤ/8)—2362no—
1249C2×SD16—591no—
1250C2×SD16—591no—
1251C2×SD16—591no—
1252C2×SD16—591no—
1253C2×SD16—591no—
1254C2×SD16—591no—
1255C2×SD16—591no—
1256C2×SD16—591no—
1257C2×SD16—2362no—
1258C2×SD16—2362no—
1259C2×SD16C22×D5911yescharacteristic
1260C2×SD16C22×D5911yescharacteristic
1261C2×SD16C22×D5911yescharacteristic
1262C2×SD16C22×D5911yescharacteristic
1263C2×D8—591no—
1264C2×D8—591no—
1265C2×D8—591no—
1266C2×D8—591no—
1267C2×D8—591no—
1268C2×D8—591no—
1269C2×D8—591no—
1270C2×D8—591no—
1271C2×D8—2362no—
1272C2×D8—2362no—
1273C2×D8C22×D5911yescharacteristic
1274C2×D8C22×D5911yescharacteristic
1275C2×D8C22×D5911yescharacteristic
1276C2×D8C22×D5911yescharacteristic
1277C2×M16—591no—
1278C2×M16—591no—
1279C2×M16C22×D5911yescharacteristic
1280C2×M16C22×D5911yescharacteristic
1281C22×C8—591no—
1282C22×C8—591no—
1283C22×C8—591no—
1284C22×C8—591no—
1285C4⋊Q8—591no—
1286C4⋊Q8—591no—
1287C4⋊Q8—591no—
1288C4⋊Q8—1181no—
1289#127—591no—
1290#127—591no—
1291#127—591no—
1292#127—1181no—
1293#124—591no—
1294#124—591no—
1295#124—1181no—
1296#124—1181no—
1297#124—1181no—
1298#124—1181no—
1299#123—1181no—
1300#123—1181no—
1301#123—1181no—
1302#123—1181no—
1303#123—1181no—
1304#123—1181no—
1305#123—1181no—
1306#123—1181no—
1307#123—1181no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312#123—1181no—
1313C22⋊Q8—591no—
1314C22⋊Q8—591no—
1315C22⋊Q8—591no—
1316C22⋊Q8—591no—
1317C22⋊Q8—1181no—
1318C22⋊Q8—1181no—
1319C22⋊Q8—1181no—
1320C22⋊Q8—1181no—
1321C22⋊Q8—1181no—
1322C22⋊Q8—1181no—
1323C22⋊Q8—1181no—
1324C22⋊Q8—1181no—
1325#121—21no—
1326#121—21no—
1327#121—591no—
1328#121—591no—
1329#121—591no—
1330#121—591no—
1331#121—591no—
1332#121—591no—
1333#121—591no—
1334#121—591no—
1335#121—591no—
1336#121—591no—
1337#121—591no—
1338#121—591no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121C22×D5911yescharacteristic
1362#121C22×D5911yescharacteristic
1363#121C22×D5911yescharacteristic
1364#121C22×D5911yescharacteristic
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368#120—1181no—
1369#120—1181no—
1370#120—1181no—
1371#120—1181no—
1372#120—1181no—
1373#120—1181no—
1374#120—1181no—
1375#120—1181no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379C4×Q8—591no—
1380C4×Q8—591no—
1381C4×D4—591no—
1382C4×D4—591no—
1383C4×D4—591no—
1384C4×D4—591no—
1385C4×D4—591no—
1386C4×D4—591no—
1387C4×D4—591no—
1388C4×D4—591no—
1389C4×D4—591no—
1390C4×D4—591no—
1391C4×D4—591no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—1181no—
1396C4×D4—1181no—
1397C4×D4—1181no—
1398C4×D4—1181no—
1399C4×D4—1181no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406C4×D4—1181no—
1407C4×D4—1181no—
1408C4×D4—1181no—
1409#117—591no—
1410#117—1181no—
1411C2×C4⋊C4—591no—
1412C2×C4⋊C4—591no—
1413C2×C4⋊C4—591no—
1414C2×C4⋊C4—591no—
1415C2×C4⋊C4—1181no—
1416C2×C4⋊C4C22×D5911yescharacteristic
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—591no—
1419C2×C22⋊C4—591no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C22⋊C4—1181no—
1423C2×C22⋊C4—1181no—
1424C2×C22⋊C4—1181no—
1425C2×C42—591no—
1426C2×C42—1181no—
1427#107—591no—
1428#107—591no—
1429#107—591no—
1430#107—591no—
1431#106—591no—
1432#106—591no—
1433#106—591no—
1434#106—591no—
1435C4⋊C8—591no—
1436C4⋊C8—591no—
1437C4⋊C8—591no—
1438C4⋊C8—591no—
1439#103—591no—
1440#103—591no—
1441#103—591no—
1442#103—591no—
1443#103—591no—
1444#103—591no—
1445#103—591no—
1446#103—591no—
1447#103C22×D5911yescharacteristic
1448#103C22×D5911yescharacteristic
1449#103C22×D5911yescharacteristic
1450#103C22×D5911yescharacteristic
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102—591no—
1458#102—591no—
1459#102—591no—
1460#102—591no—
1461#102—591no—
1462#102—591no—
1463#102—591no—
1464#102—591no—
1465#102—591no—
1466#102—591no—
1467#102C22×D5911yescharacteristic
1468#102C22×D5911yescharacteristic
1469#102C22×D5911yescharacteristic
1470#102C22×D5911yescharacteristic
1471C22⋊C8—591no—
1472C22⋊C8—591no—
1473C22⋊C8—591no—
1474C22⋊C8—591no—
1475C22⋊C8—591no—
1476C22⋊C8—591no—
1477C22⋊C8—591no—
1478C22⋊C8—591no—
1479C22⋊C8C22×D5911yescharacteristic
1480C22⋊C8C22×D5911yescharacteristic
1481C22⋊C8C22×D5911yescharacteristic
1482C22⋊C8C22×D5911yescharacteristic
1483#97—591no—
1484#97—591no—
1485C4×C8—591no—
1486C4×C8—591no—
1487C24—21no—
1488C24—21no—
1489C24—591no—
1490C24—1181no—
1491C24—1181no—
1492C24—1181no—
1493C24—1181no—
1494C24D4×D5911yescharacteristic
1495#41—22no—
1496#41—22no—
1497#41—22no—
1498#41—22no—
1499#41—41no—
1500#41—41no—
1501#41—41no—
1502#41—41no—
1503#41—44no—
1504#41—44no—
1505#41—1182no—
1506#41—1182no—
1507#41—2361no—
1508#41—2361no—
1509#41—2364no—
1510#41—2364no—
1511#41—2364no—
1512#41—2361no—
1513#41—2364no—
1514#41—2364no—
1515#41—2361no—
1516#41—2364no—
1517#41—2364no—
1518#41—2364no—
1519C2×Q8—21no—
1520C2×Q8—22no—
1521C2×Q8—41no—
1522C2×Q8—591no—
1523C2×Q8—1181no—
1524C2×Q8—1181no—
1525C2×Q8—1181no—
1526C2×Q8—1182no—
1527C2×Q8—2361no—
1528C2×Q8C23×D5911yescharacteristic
1529C2×Q8C23×D5911yescharacteristic
1530C2×D4—21no—
1531C2×D4—22no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—44no—
1545C2×D4—44no—
1546C2×D4—591no—
1547C2×D4—591no—
1548C2×D4—591no—
1549C2×D4—591no—
1550C2×D4—591no—
1551C2×D4—591no—
1552C2×D4—591no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1181no—
1562C2×D4—1181no—
1563C2×D4—1181no—
1564C2×D4—1181no—
1565C2×D4—1184no—
1566C2×D4—1182no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—1181no—
1572C2×D4—1181no—
1573C2×D4—1181no—
1574C2×D4—1181no—
1575C2×D4—1181no—
1576C2×D4—1181no—
1577C2×D4—1181no—
1578C2×D4—1181no—
1579C2×D4—1181no—
1580C2×D4—2361no—
1581C2×D4—2361no—
1582C2×D4—2361no—
1583C2×D4—2361no—
1584C2×D4—2361no—
1585C2×D4—2361no—
1586C2×D4—2361no—
1587C2×D4—2364no—
1588C2×D4—2364no—
1589C2×D4—2364no—
1590C2×D4—2364no—
1591C2×D4—2364no—
1592C2×D4—2364no—
1593C2×D4—2364no—
1594C2×D4—2364no—
1595C2×D4—2364no—
1596C2×D4C23×D5911yescharacteristic
1597C2×D4C23×D5911yescharacteristic
1598C2×D4C23×D5911yescharacteristic
1599C2×D4C23×D5911yescharacteristic
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—41no—
1607C22×C4—41no—
1608C22×C4—44no—
1609C22×C4—591no—
1610C22×C4—591no—
1611C22×C4—591no—
1612C22×C4—591no—
1613C22×C4—591no—
1614C22×C4—591no—
1615C22×C4—591no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4—1181no—
1620C22×C4—1181no—
1621C22×C4—1181no—
1622C22×C4—1181no—
1623C22×C4—1181no—
1624C22×C4—1181no—
1625C22×C4—1181no—
1626C22×C4—1181no—
1627C22×C4—1181no—
1628C22×C4—1181no—
1629C22×C4—2361no—
1630C22×C4—2361no—
1631C22×C4—2364no—
1632C22×C4D4×D5911yescharacteristic
1633C22×C4D4×D5911yescharacteristic
1634C22×C4D4×D5911yescharacteristic
1635C22×C4C23×D5911yescharacteristic
1636C22×C4C23×D5911yescharacteristic
1637C22×C4C23×D5911yescharacteristic
1638SD16—22no—
1639SD16—22no—
1640SD16—41no—
1641SD16—41no—
1642SD16—1182no—
1643SD16—1182no—
1644SD16—2361no—
1645SD16—2361no—
1646SD16—2361no—
1647SD16—2361no—
1648SD16—2361no—
1649SD16—2361no—
1650D8—22no—
1651D8—22no—
1652D8—41no—
1653D8—41no—
1654D8—1182no—
1655D8—1182no—
1656D8—2361no—
1657D8—2361no—
1658D8—2361no—
1659D8—2361no—
1660D8—2361no—
1661D8—2361no—
1662M16—41no—
1663M16—41no—
1664M16—2361no—
1665M16—2361no—
1666C2×C8—591no—
1667C2×C8—591no—
1668C2×C8—591no—
1669C2×C8—591no—
1670C2×C8—2361no—
1671C2×C8—2361no—
1672C2×C8—2361no—
1673C2×C8—2361no—
1674C2×C8C23×D5911yescharacteristic
1675C2×C8C23×D5911yescharacteristic
1676C2×C8C23×D5911yescharacteristic
1677C2×C8C23×D5911yescharacteristic
1678C4⋊C4—21no—
1679C4⋊C4—591no—
1680C4⋊C4—591no—
1681C4⋊C4—591no—
1682C4⋊C4—591no—
1683C4⋊C4—591no—
1684C4⋊C4—591no—
1685C4⋊C4—591no—
1686C4⋊C4—591no—
1687C4⋊C4—1181no—
1688C4⋊C4—1181no—
1689C4⋊C4—1181no—
1690C4⋊C4—1181no—
1691C4⋊C4—1181no—
1692C4⋊C4—1181no—
1693C4⋊C4—1181no—
1694C4⋊C4—1181no—
1695C4⋊C4—1181no—
1696C4⋊C4—1181no—
1697C4⋊C4—1181no—
1698C4⋊C4—1181no—
1699C4⋊C4—1181no—
1700C4⋊C4C23×D5911yescharacteristic
1701C4⋊C4C23×D5911yescharacteristic
1702C22⋊C4—21no—
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—21no—
1706C22⋊C4—591no—
1707C22⋊C4—591no—
1708C22⋊C4—591no—
1709C22⋊C4—591no—
1710C22⋊C4—591no—
1711C22⋊C4—591no—
1712C22⋊C4—591no—
1713C22⋊C4—591no—
1714C22⋊C4—1181no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C22⋊C4—1181no—
1719C22⋊C4—1181no—
1720C22⋊C4—1181no—
1721C22⋊C4—1181no—
1722C22⋊C4—1181no—
1723C22⋊C4—1181no—
1724C22⋊C4—1181no—
1725C22⋊C4—1181no—
1726C22⋊C4—1181no—
1727C22⋊C4—1181no—
1728C22⋊C4—1181no—
1729C22⋊C4—1181no—
1730C22⋊C4—1181no—
1731C22⋊C4—1181no—
1732C22⋊C4—1181no—
1733C22⋊C4—1181no—
1734C22⋊C4—1181no—
1735C22⋊C4—1181no—
1736C22⋊C4—1181no—
1737C22⋊C4—1181no—
1738C22⋊C4—1181no—
1739C22⋊C4—1181no—
1740C22⋊C4—1181no—
1741C42—591no—
1742C42—591no—
1743C42—591no—
1744C42—591no—
1745C42—1181no—
1746C42—1181no—
1747C42—1181no—
1748C23—21no—
1749C23—22no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—41no—
1754C23—41no—
1755C23—42no—
1756C23—42no—
1757C23—42no—
1758C23—81no—
1759C23—81no—
1760C23—81no—
1761C23—591no—
1762C23—591no—
1763C23—1182no—
1764C23—1181no—
1765C23—1181no—
1766C23—1181no—
1767C23—4721no—
1768C23—4721no—
1769C23—4721no—
1770C23—4721no—
1771C23—4721no—
1772C23—4721no—
1773C23—4721no—
1774C23—2361no—
1775C23—2361no—
1776C23—2362no—
1777C23—2362no—
1778C23—2362no—
1779C23—2362no—
1780C23—2362no—
1781C23C2×D4×D5911yescharacteristic
1782C23C2×D4×D5911yescharacteristic
1783C23C2×D4×D5911yescharacteristic
1784Q8—21no—
1785Q8—21no—
1786Q8—21no—
1787Q8—42no—
1788Q8—1181no—
1789Q8—1181no—
1790Q8—2362no—
1791Q8—2362no—
1792Q8—2362no—
1793Q8#1427377212yescomplemented
1794D4—24no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—42no—
1803D4—42no—
1804D4—42no—
1805D4—42no—
1806D4—42no—
1807D4—42no—
1808D4—42no—
1809D4—42no—
1810D4—81no—
1811D4—594no—
1812D4—1182no—
1813D4—1182no—
1814D4—1182no—
1815D4—1181no—
1816D4—1181no—
1817D4—1181no—
1818D4—1181no—
1819D4—1181no—
1820D4—1181no—
1821D4—4721no—
1822D4—4721no—
1823D4—4721no—
1824D4—4721no—
1825D4—4721no—
1826D4—4721no—
1827D4—4721no—
1828D4—4721no—
1829D4—2362no—
1830D4—2362no—
1831D4—2362no—
1832D4—2362no—
1833D4—2362no—
1834D4—2362no—
1835D4—2362no—
1836D4—2362no—
1837D4—2362no—
1838D4—2362no—
1839D4—2362no—
1840D4—2362no—
1841D4—2362no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4—2362no—
1846D4#1427377212yescomplemented
1847C2×C4—24no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—42no—
1862C2×C4—42no—
1863C2×C4—42no—
1864C2×C4—42no—
1865C2×C4—42no—
1866C2×C4—591no—
1867C2×C4—591no—
1868C2×C4—591no—
1869C2×C4—591no—
1870C2×C4—591no—
1871C2×C4—591no—
1872C2×C4—1182no—
1873C2×C4—1181no—
1874C2×C4—1181no—
1875C2×C4—1181no—
1876C2×C4—1181no—
1877C2×C4—1181no—
1878C2×C4—1181no—
1879C2×C4—1181no—
1880C2×C4—1181no—
1881C2×C4—1181no—
1882C2×C4—4721no—
1883C2×C4—2361no—
1884C2×C4—2361no—
1885C2×C4—2362no—
1886C2×C4—2362no—
1887C2×C4—2362no—
1888C2×C4—2362no—
1889C2×C4—2362no—
1890C2×C4—2362no—
1891C2×C4—2362no—
1892C2×C4—2362no—
1893C2×C4—2362no—
1894C2×C4—2361no—
1895C2×C4—2361no—
1896C2×C4—2362no—
1897C2×C4—2362no—
1898C2×C4—2362no—
1899C2×C4C2×D4×D5911yescharacteristic
1900C2×C4C2×D4×D5911yescharacteristic
1901C2×C4C2×D4×D5911yescharacteristic
1902C2×C4C24×D5911yescharacteristic
1903C8—21no—
1904C8—21no—
1905C8—21no—
1906C8—21no—
1907C8—1181no—
1908C8—1181no—
1909C8—1181no—
1910C8—1181no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—22no—
1915C22—21no—
1916C22—21no—
1917C22—21no—
1918C22—21no—
1919C22—21no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—82no—
1932C22—84no—
1933C22—162no—
1934C22—592no—
1935C22—1181no—
1936C22—1181no—
1937C22—1181no—
1938C22—1181no—
1939C22—1181no—
1940C22—9442no—
1941C22—9442no—
1942C22—9442no—
1943C22—4724no—
1944C22—4722no—
1945C22—2361no—
1946C22—2361no—
1947C22—2361no—
1948C22—2361no—
1949C22—2361no—
1950C22—2361no—
1951C22—2361no—
1952C22—2361no—
1953C22—2361no—
1954C22AGL(1,ℤ/8)×D5912yes—
1955C22C22×D4×D5911yescharacteristic
1956C4—21no—
1957C4—22no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—592no—
1964C4—1181no—
1965C4—1181no—
1966C4—1181no—
1967C4—1181no—
1968C4—1181no—
1969C4—2361no—
1970C4—2361no—
1971C4—2361no—
1972C4—2361no—
1973C4—2361no—
1974C4C2×#1427377211yescharacteristic
1975C4C2×#1427377211yescharacteristic
1976C2—22no—
1977C2—41no—
1978C2—41no—
1979C2—42no—
1980C2—81no—
1981C2—81no—
1982C2—81no—
1983C2—1182no—
1984C2—4721no—
1985C2—4721no—
1986C2—4721no—
1987C2—2361no—
1988C2#2143772511yescharacteristic
1989C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1990C2#2143886911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3006C2
socleC22×C59C23×D4
hypercenter#3006D59
hypocenterC59#61598
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3006

Complements

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

NH ≅ G/Ntype
1. #21437853C2semidirect
2. #41×C22⋊D59C2semidirect
3. #21436419C2semidirect
4. #21436397C2semidirect
5. #21436091C2semidirect
6. #21436088C2semidirect
7. #21436061C2semidirect
8. #21436058C2semidirect
9. #21435954C2semidirect
10. #21435902C2semidirect
11. #21435785C2semidirect
12. #21435766C2semidirect
13. #21435710C2semidirect
14. #21435690C2semidirect
15. #21435585C2semidirect
16. #21435584C2semidirect
17. #21435570C2semidirect
18. #21435569C2semidirect
19. #21435088C2semidirect
20. #21435027C2semidirect
21. #21434912C2semidirect
22. #21434908C2semidirect
23. #21434861C2semidirect
24. #21434859C2semidirect
25. #21434240C2semidirect
26. #21434149C2semidirect
27. #21433345C2semidirect
28. C2×#16837547C2semidirect
29. #449×D59C2semidirect
30. #21433132C2semidirect
31. C59×#3006C2semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273751C22semidirect
36. C22×#11745671C22semidirect
37. C2×SD16×D59C22semidirect
38. C22×#11745669C22semidirect
39. C2×D8×D59C22semidirect
40. #16838071C22semidirect
41. Q8×C22⋊D59C22semidirect
42. #16838063C22semidirect
43. #16838059C22semidirect
44. #16838053C22semidirect
45. #16838053C22semidirect
47. #16838052C22semidirect
49. #16838051C22semidirect
51. #16838046C22semidirect
57. #16838040C22semidirect
59. #16838036C22semidirect
61. D4×C22⋊D59C22semidirect
62. D4×C22⋊D59C22semidirect
63. D4×C22⋊D59C22semidirect
68. #16837948C22semidirect
69. #16837947C22semidirect
70. #16837947C22semidirect
72. #16837913C22semidirect
74. #16837909C22semidirect
75. C2×#14273701C22semidirect
76. #121×D59C22semidirect
77. #121×D59C22semidirect
78. #41×Dic59C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837777C22semidirect
84. #16837773C22semidirect
85. #16837763C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
88. #16837747C22semidirect
89. #16837737C22semidirect
90. #16837736C22semidirect
91. #16837733C22semidirect
92. #16837731C22semidirect
93. #16837727C22semidirect
94. #16837727C22semidirect
95. #16837723C22semidirect
96. #16837723C22semidirect
97. #16837720C22semidirect
98. #16837719C22semidirect
99. #16837716C22semidirect
100. #16837714C22semidirect
101. #16837695C22semidirect
102. #16837690C22semidirect
103. #16837685C22semidirect
104. #16837680C22semidirect
105. #16837655C22semidirect
106. #16837655C22semidirect
107. #16837654C22semidirect
108. #16837652C22semidirect
109. #16837651C22semidirect
110. #16837648C22semidirect
111. #16837648C22semidirect
112. #16837645C22semidirect
113. #16837637C22semidirect
114. #16837636C22semidirect
115. #16837636C22semidirect
116. #16837635C22semidirect
117. #16837634C22semidirect
118. #16837629C22semidirect
119. #16837629C22semidirect
120. #16837628C22semidirect
121. #16837620C22semidirect
122. #16837619C22semidirect
123. #16837616C22semidirect
124. #16837615C22semidirect
125. #16837606C22semidirect
126. #16837605C22semidirect
127. #16837600C22semidirect
128. #16837600C22semidirect
129. #16837596C22semidirect
130. #16837595C22semidirect
131. #16837595C22semidirect
132. #16837595C22semidirect
133. #16837555C22semidirect
134. #16837553C22semidirect
135. #16837551C22semidirect
136. #16837551C22semidirect
137. #16837550C22semidirect
138. #16837549C22semidirect
139. #16837549C22semidirect
140. #16837548C22semidirect
141. #16837547C22semidirect
142. #16837547C22semidirect
143. #16837547C22semidirect
144. #16837547C22semidirect
145. #16837547C22semidirect
146. #16837547C22semidirect
147. #16837547C22semidirect
148. #16837547C22semidirect
149. #16837546C22semidirect
150. #16837545C22semidirect
151. #16837545C22semidirect
152. #16837544C22semidirect
153. #16837542C22semidirect
154. #16837539C22semidirect
155. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837536C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837514C22semidirect
162. #16837511C22semidirect
163. #16837505C22semidirect
164. #16837503C22semidirect
165. SD16×Dic59C22semidirect
166. #16837487C22semidirect
167. D8×Dic59C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837478C22semidirect
171. #16837471C22semidirect
172. #16837471C22semidirect
173. #16837470C22semidirect
174. #16837470C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837402C22semidirect
180. #16837400C22semidirect
181. C2×#14273651C22semidirect
182. #103×D59C22semidirect
183. C2×#14273648C22semidirect
184. #102×D59C22semidirect
185. #16837364C22semidirect
186. C2×C22⋊(C59⋊C8)C22semidirect
187. C22⋊C8×D59C22semidirect
188. C22×#41×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C2×AGL(1,ℤ/8)×C59C22semidirect
191. C2×#121×C59C22semidirect
192. C59×#449C22semidirect
193. C59×#449C22semidirect
194. C59×#449C22semidirect
195. C59×#449C22semidirect
196. C59×#448C22semidirect
197. C59×#448C22semidirect
198. C59×#447C22semidirect
199. C59×#447C22semidirect
200. C59×#417C22semidirect
201. C59×#417C22semidirect
202. C59×#407C22semidirect
792. Q8×C59H(5,𝔽2)semidirect
810. D4×C59H(5,𝔽2)semidirect
858. C22⋊D59AGL(1,ℤ/8)semidirect
1008. #3006D59semidirect
1029. C22×#41C2×D59semidirect
1032. C2×AGL(1,ℤ/8)C2×D59semidirect
1033. C2×AGL(1,ℤ/8)C2×D59semidirect
1076. C2×#121C2×D59semidirect
1152. #449C2×D59semidirect
1153. #449C2×D59semidirect
1154. #449C2×D59semidirect
1155. #449C2×D59semidirect
1158. #448C2×D59semidirect
1159. #448C2×D59semidirect
1166. #447C2×D59semidirect
1167. #447C2×D59semidirect
1188. #417C2×D59semidirect
1189. #417C2×D59semidirect
1195. #407C2×D59semidirect
1198. C59#61598semidirect
1793. Q8#14273772semidirect
1846. D4#14273772semidirect

Maximal subgroups

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

subgroupindex
#214378532
#41×C22⋊D592
#214364192
#214363972
#214360912
#214360882
#214360612
#214360582
#214359542
#214359022
#214357852
#214357662
#214357102
#214356902
#214355852
#214355842
#214355702
#214355692
#214350882
#214350272
#214349122
#214349082
#214348612
#214348592
#214342402
#214341492
#214333452
C2×#168375472
#449×D592
#214331322
C59×#30062
#6159859