Finite Group Databasebeta

← #29484100

Subgroups — #29484100

Order 15104.

1906 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438614C211yesmaximal, characteristic, complemented
2#21438047C211yesmaximal, characteristic, complemented
3#21437184C211yesmaximal, characteristic, complemented
4#21437179C211yesmaximal, characteristic, complemented
5#21436892C211yesmaximal, characteristic, complemented
6#21436883C211yesmaximal, characteristic, complemented
7#21436341C211yesmaximal, characteristic, complemented
8#21436334C211yesmaximal, characteristic, complemented
9#21436289C211yesmaximal, characteristic, complemented
10#21436278C211yesmaximal, characteristic, complemented
11#21436133C211yesmaximal, characteristic, complemented
12#21436128C211yesmaximal, characteristic, complemented
13#21435733C211yesmaximal, characteristic, complemented
14#21435727C211yesmaximal, characteristic, complemented
15#21435576C211yesmaximal, characteristic, complemented
16#21435576C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435570C211yesmaximal, characteristic, complemented
19#21435567C211yesmaximal, characteristic, complemented
20#21435563C211yesmaximal, characteristic, complemented
21#21435475C211yesmaximal, characteristic, complemented
22#21435190C211yesmaximal, characteristic, complemented
23#21435187C211yesmaximal, characteristic, complemented
24#21435081C211yesmaximal, characteristic, complemented
25#21434280C211yesmaximal, characteristic, complemented
26#21434279C211yesmaximal, characteristic, complemented
27#21434244C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#21433585C211yesmaximal, characteristic, complemented
30#21433264C211yesmaximal, characteristic, complemented
31C59×#3041C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic, complemented
36#16838147—21no—
37#16838145—21no—
38#16838138C2211yescharacteristic, complemented
39#16838135C2211yescharacteristic, complemented
40#16838134C2211yescharacteristic, complemented
41#16838120C2211yescharacteristic, complemented
42#16838117C2211yescharacteristic, complemented
43#16838115C2211yescharacteristic, complemented
44#16838081—21no—
45#16838078—21no—
46D4×Dic118C2211yescharacteristic, complemented
47#16838061—21no—
48#16838060C2211yescharacteristic, complemented
49#16838059C2211yescharacteristic, complemented
50#16838047C2211yescharacteristic, complemented
51#16838046C2211yescharacteristic
52#16838046C2211yescharacteristic, complemented
53#16838042—21no—
54#16838041—21no—
55#16838040C2211yescharacteristic
56#16838039—21no—
57#16838037C2211yescharacteristic, complemented
58D4×C22⋊D59C2211yescharacteristic, complemented
59D4×C22⋊D59C2211yescharacteristic, complemented
60#16838023C2211yescharacteristic, complemented
61#16838023C2211yescharacteristic, complemented
62#16838021C2211yescharacteristic, complemented
63#16838017C2211yescharacteristic, complemented
64#16837990—21no—
65#16837989—21no—
66#16837987—21no—
67#16837985—21no—
68#16837984—21no—
69#16837965C2211yescharacteristic, complemented
70#16837962—21no—
71#16837950C2211yescharacteristic, complemented
72#16837949C2211yescharacteristic, complemented
73#16837932—21no—
74#16837930C2211yescharacteristic
75C2×#14273713—21no—
76#124×D59C2211yescharacteristic, complemented
77#16837874C2211yescharacteristic, complemented
78C4×#11745687C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837784C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837748C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837693C2211yescharacteristic, complemented
98#16837693C2211yescharacteristic, complemented
99#16837692C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837688C2211yescharacteristic, complemented
104#16837688C2211yescharacteristic, complemented
105#16837685C2211yescharacteristic, complemented
106#16837682C2211yescharacteristic, complemented
107#16837660C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837655C2211yescharacteristic
110#16837654C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837652C2211yescharacteristic
113#16837652C2211yescharacteristic, complemented
114#16837652C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837627C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837625C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic, complemented
127#16837618C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837617C2211yescharacteristic, complemented
130#16837616C2211yescharacteristic, complemented
131#16837615C2211yescharacteristic, complemented
132#16837615C2211yescharacteristic, complemented
133#16837615C2211yescharacteristic, complemented
134#16837614C2211yescharacteristic, complemented
135#16837599C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic
138#16837595C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837594C2211yescharacteristic, complemented
141#16837565C2211yescharacteristic, complemented
142#16837564C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837553C2211yescharacteristic, complemented
145#16837553C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837529C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837514C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169SD16×Dic59C2211yescharacteristic, complemented
170C4×#11745670C2211yescharacteristic, complemented
171C4×#11745669C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837479C2211yescharacteristic, complemented
174#16837478C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837472C2211yescharacteristic, complemented
178#16837471C2211yescharacteristic, complemented
179#16837463C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837458C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837424C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837405C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#535C2211yescharacteristic, complemented
191C59×#518C2211yescharacteristic, complemented
192C59×#463C2211yescharacteristic, complemented
193C59×#463C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic
197C59×#459C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#459C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745687—21no—
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118—21no—
208C2×Q8×D59C2311yescharacteristic
209C22×C22⋊D59—21no—
210C22×C22⋊D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215#14273756—42no—
216#14273751—42no—
217#14273751—42no—
218C2×Dic236C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234D8×D59—42no—
235C2×#11745659C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239#14273727C2311yescharacteristic
240#14273727C2311yescharacteristic
241#14273726C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273723C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273722—21no—
246#14273722—21no—
247#14273722D411yescharacteristic
248#14273721—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720D411yescharacteristic
253#14273717D411yescharacteristic
254#14273716C2311yescharacteristic
255#14273715—21no—
256#14273715C2311yescharacteristic
257#14273715C2311yescharacteristic
258#14273714—21no—
259#14273714—21no—
260#14273714—21no—
261#14273714C2311yescharacteristic
262#14273714C2311yescharacteristic
263#14273714C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713D411yescharacteristic
279#14273712D411yescharacteristic
280#14273711—21no—
281#14273711—21no—
282#14273711—21no—
283#14273710—21no—
284#14273710—21no—
285#14273710—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709D411yescharacteristic
291#14273708—21no—
292#14273708—21no—
293#14273708—21no—
294#14273708—21no—
295#14273707C2311yescharacteristic
296#14273706—21no—
297#14273706—21no—
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705D411yescharacteristic
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273703C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701—21no—
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700D411yescharacteristic
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698—21no—
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273696—21no—
335#14273696—21no—
336#14273696—21no—
337#14273696—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345Q8×Dic59C2311yescharacteristic
346C4×Dic118—21no—
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350#14273692C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59—21no—
355D4×Dic59—21no—
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59C2311yescharacteristic
368C4×C22⋊D59C2311yescharacteristic
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373#14273686—21no—
374#14273685C2311yescharacteristic
375#14273685C2311yescharacteristic
376#14273684—21no—
377#14273684C2311yescharacteristic
378#14273683—21no—
379C2×C22⋊Dic59—21no—
380C2×C22⋊Dic59—21no—
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C2×C4×Dic59—21no—
388C42×D59C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×D4×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—42no—
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59—42no—
446C2×D8×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#120×C59—21no—
461#120×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C2×C22⋊C4×C59—21no—
471C2×C22⋊C4×C59—21no—
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489#41×C59—41no—
490#41×C59—41no—
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—82no—
531C2×C22⋊D59—82no—
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541Q8×D59—41no—
542Q8×D59—41no—
543#11745687—22no—
544#11745687—41no—
545#11745687—41no—
546#11745687—41no—
547#11745687—82no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—82no—
555#11745685—82no—
556C2×D236—21no—
557C2×D236C2×D411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×C4×D59C2411yescharacteristic
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118—21no—
573C2×Dic118—82no—
574C2×Dic118C2×D411yescharacteristic
575C2×Dic118C2411yescharacteristic
576C2×Dic118C2411yescharacteristic
577SD16×C59—22no—
578SD16×C59—41no—
579D8×C59—22no—
580D8×C59—22no—
581D8×C59—22no—
582D8×C59—41no—
583D8×C59—41no—
584D8×C59—41no—
585M16×C59—41no—
586C2×C8×C59—41no—
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59—21no—
607C42×C59C2411yescharacteristic
608C42×C59C2411yescharacteristic
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59C2×D411yescharacteristic
628C22⋊Dic59C2×D411yescharacteristic
629#11745672—41no—
630#11745671—41no—
631#11745670—22no—
632#11745670—41no—
633#11745670—41no—
634#11745670—41no—
635#11745670—41no—
636#11745669—22no—
637#11745669—41no—
638#11745669—41no—
639#11745669—41no—
640#11745669—41no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—41no—
702D472—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—42no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59C22×D411yescharacteristic
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—42no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59H(5,𝔽2)12yes—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—81no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59—81no—
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C2511yescharacteristic
769C22⋊D59—41no—
770C22⋊D59—41no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—42no—
775C22⋊D59—42no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—42no—
794C2×Dic59—42no—
795C2×Dic59—81no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—41no—
811D236—81no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—41no—
817C4×D59—41no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822Dic118—21no—
823Dic118—21no—
824Dic118—21no—
825Dic118—21no—
826Dic118—41no—
827Dic118—42no—
828Dic118—81no—
829Dic118—81no—
830Dic118—81no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62088—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—22no—
844C22×C59—21no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—162no—
860C22×C59—162no—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59C2×H(5,𝔽2)11yescharacteristic
886C4×C59#58511yescharacteristic
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3558—591no—
900#3514—591no—
901#3403—591no—
902#3403—591no—
903#3373—591no—
904#3373—591no—
905#3325—591no—
906#3325—591no—
907#3321—591no—
908#3321—591no—
909#3311—591no—
910#3311—591no—
911#3275—591no—
912#3275—591no—
913#3264—591no—
914#3264—591no—
915#3264—591no—
916#3264—591no—
917#3263—591no—
918#3263—591no—
919#3253—591no—
920#3224—591no—
921#3224—591no—
922#3213—591no—
923#3118—591no—
924#3118—591no—
925#3115—591no—
926#3041—591no—
927#3041D5911yescharacteristic, complemented
928#3040—591no—
929#2995—591no—
930C2×C59—42no—
931C2×C59—41no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59—81no—
936C2×C59#348811yescharacteristic
937C2×C59#358511yescharacteristic
938C2×C59#358511yescharacteristic
939D59—41no—
940D59—41no—
941D59—81no—
942D59—81no—
943C2×#137—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
947C22×D8—591no—
948C22×D8C2×D5911yescharacteristic, complemented
949#562—1181no—
950H(3,𝔽4)—1181no—
951#559—591no—
952#559—591no—
953#559—591no—
954#556—591no—
955#555—591no—
956#555—591no—
957#551—1181no—
958#551—1181no—
959D4×Q8—591no—
960#548—591no—
961#548—591no—
962#548—1181no—
963#546—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970D42—591no—
971D42—591no—
972D42—591no—
973#542—591no—
974#542—591no—
975#542—591no—
976#542—591no—
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#538—1181no—
981#538—1181no—
982#535—591no—
983#535C2×D5911yescharacteristic, complemented
984#534—1181no—
985#532—591no—
986#532—591no—
987#529—591no—
988#529—1181no—
989C2×#124—591no—
990C2×#124—1181no—
991#518—591no—
992#518C2×D5911yescharacteristic, complemented
993C4×#41—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#496—591no—
998#495—591no—
999#495—591no—
1000#489—591no—
1001#489—591no—
1002#489—591no—
1003#489—591no—
1004#486—591no—
1005#486—591no—
1006#485—591no—
1007#485—591no—
1008#482—591no—
1009#482—591no—
1010#482—591no—
1011#482—591no—
1012#476—591no—
1013#476—591no—
1014#476—591no—
1015#476—591no—
1016#476—591no—
1017#476—591no—
1018#475—591no—
1019#475—591no—
1020#475—591no—
1021#474—591no—
1022#470—591no—
1023#470—591no—
1024#469—591no—
1025#469—591no—
1026#469—591no—
1027#469—591no—
1028#469—591no—
1029#469—591no—
1030#465—591no—
1031#465—591no—
1032#465—591no—
1033#465—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464—591no—
1039#464—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#463—591no—
1050#463C2×D5911yescharacteristic, complemented
1051#463C2×D5911yescharacteristic, complemented
1052#463C2×D5911yescharacteristic, complemented
1053#463C2×D5911yescharacteristic, complemented
1054#460—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459C2×D5911yescharacteristic
1061#459C2×D5911yescharacteristic, complemented
1062#459C2×D5911yescharacteristic, complemented
1063#459C2×D5911yescharacteristic, complemented
1064#452—591no—
1065#452—591no—
1066#450—591no—
1067#450—591no—
1068#450—591no—
1069#450—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#433—591no—
1103#433—591no—
1104#432—591no—
1105#424—591no—
1106#424C2×D5911yescharacteristic, complemented
1107#423—591no—
1108#419—591no—
1109#418—591no—
1110#418—591no—
1111#418C2×D5911yescharacteristic, complemented
1112#416—591no—
1113#416C2×D5911yescharacteristic, complemented
1114C59#6208811yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41—1181no—
1119C2×#41C22×D5911yescharacteristic
1120C22×Q8—591no—
1121C22×Q8—1181no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4C22×D5911yescharacteristic
1129C22×D4C22×D5911yescharacteristic
1130#137—2362no—
1131AGL(1,ℤ/8)—42no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×D8—42no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—2362no—
1154C2×D8C22×D5911yescharacteristic
1155C2×D8C22×D5911yescharacteristic
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×D8C22×D5911yescharacteristic
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16C22×D5911yescharacteristic
1164C22×C8—591no—
1165C22×C8C22×D5911yescharacteristic
1166C4⋊Q8—591no—
1167C4⋊Q8—591no—
1168C4⋊Q8—591no—
1169C4⋊Q8—591no—
1170#127—591no—
1171#127—591no—
1172#127C22×D5911yescharacteristic
1173#127C22×D5911yescharacteristic
1174#126—591no—
1175#126—591no—
1176#126—1181no—
1177#126—1181no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#124—591no—
1184#124—591no—
1185#124—591no—
1186#124—591no—
1187#124—591no—
1188#124—591no—
1189#124—591no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124—1181no—
1205#124—1181no—
1206#124—1181no—
1207#124—1181no—
1208#124C22×D5911yescharacteristic
1209#124C22×D5911yescharacteristic
1210#123—591no—
1211#123—591no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240#121—21no—
1241#121—21no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#120—21no—
1267#120—21no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—1181no—
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313C4×D4C22×D5911yescharacteristic
1314#117—591no—
1315#117—591no—
1316#117—591no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117C22×D5911yescharacteristic
1321#117C22×D5911yescharacteristic
1322C2×C22⋊C4—21no—
1323C2×C22⋊C4—21no—
1324C2×C22⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333C2×C42—1181no—
1334#107—591no—
1335#107—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103C22×D5911yescharacteristic
1361#103C22×D5911yescharacteristic
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394C4×C8—591no—
1395C4×C8—591no—
1396C24—21no—
1397C24—21no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—41no—
1402#41—41no—
1403#41—1182no—
1404#41—4722no—
1405#41—4722no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409C2×Q8—591no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—1181no—
1413C2×Q8—1181no—
1414C2×Q8—1181no—
1415C2×Q8—1181no—
1416C2×Q8—1181no—
1417C2×Q8—4722no—
1418C2×Q8—2361no—
1419C2×Q8—2361no—
1420C2×Q8C23×D5911yescharacteristic
1421C2×D4—22no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—591no—
1435C2×D4—591no—
1436C2×D4—591no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1182no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489Q16—2361no—
1490Q16—2361no—
1491SD16—22no—
1492SD16—41no—
1493SD16—1182no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501D8—22no—
1502D8—22no—
1503D8—22no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—1182no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513M16—41no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—41no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4D4×D5911yescharacteristic
1552C4⋊C4D4×D5911yescharacteristic
1553C4⋊C4C23×D5911yescharacteristic
1554C4⋊C4C23×D5911yescharacteristic
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4D4×D5911yescharacteristic
1607C22⋊C4D4×D5911yescharacteristic
1608C42—21no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—81no—
1631C23—81no—
1632C23—591no—
1633C23—591no—
1634C23—1181no—
1635C23—1181no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—4721no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—4721no—
1653Q8—4721no—
1654Q8—4721no—
1655Q8—4721no—
1656Q8—2361no—
1657Q8—2362no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—21no—
1667D4—42no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—1181no—
1675D4—1181no—
1676D4—1181no—
1677D4—1181no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—2361no—
1691D4—2361no—
1692D4—2361no—
1693D4—2362no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4#1427377212yes—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—2361no—
1735C2×C4—2361no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—22no—
1754C22—21no—
1755C22—21no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—162no—
1771C22—162no—
1772C22—1181no—
1773C22—1181no—
1774C22—1181no—
1775C22—1181no—
1776C22—1181no—
1777C22—1181no—
1778C22—9442no—
1779C22—9442no—
1780C22—9442no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4C2×#1427377211yescharacteristic
1809C4#1683823811yescharacteristic
1810C2—41no—
1811C2—42no—
1812C2—81no—
1813C2—81no—
1814C2—81no—
1815C2—81no—
1816C2—4721no—
1817C2—4721no—
1818C2—2361no—
1819C2—2361no—
1820C2#2143776111yescharacteristic
1821C2#2143887111yescharacteristic
1822C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3041C2
socleC22×C59C23×D4
hypercenter#3041D59
hypocenterC59#62088
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3041

Complements

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

NH ≅ G/Ntype
1. #21438614C2semidirect
2. #21438047C2semidirect
3. #21437184C2semidirect
4. #21437179C2semidirect
5. #21436892C2semidirect
6. #21436883C2semidirect
7. #21436341C2semidirect
8. #21436334C2semidirect
9. #21436289C2semidirect
10. #21436278C2semidirect
11. #21436133C2semidirect
12. #21436128C2semidirect
13. #21435733C2semidirect
14. #21435727C2semidirect
15. #21435576C2semidirect
16. #21435576C2semidirect
17. #21435571C2semidirect
18. #21435570C2semidirect
19. #21435567C2semidirect
20. #21435563C2semidirect
21. #21435475C2semidirect
22. #21435190C2semidirect
23. #21435187C2semidirect
24. #21435081C2semidirect
25. #21434280C2semidirect
26. #21434279C2semidirect
27. #21434244C2semidirect
28. #21433594C2semidirect
29. #21433585C2semidirect
30. #21433264C2semidirect
31. C59×#3041C2semidirect
32. C2×#14273756C22semidirect
34. C2×#14273751C22semidirect
35. C2×D8×D59C22semidirect
38. #16838138C22semidirect
39. #16838135C22semidirect
40. #16838134C22semidirect
41. #16838120C22semidirect
42. #16838117C22semidirect
43. #16838115C22semidirect
46. D4×Dic118C22semidirect
48. #16838060C22semidirect
49. #16838059C22semidirect
50. #16838047C22semidirect
52. #16838046C22semidirect
57. #16838037C22semidirect
58. D4×C22⋊D59C22semidirect
59. D4×C22⋊D59C22semidirect
60. #16838023C22semidirect
61. #16838023C22semidirect
62. #16838021C22semidirect
63. #16838017C22semidirect
69. #16837965C22semidirect
71. #16837950C22semidirect
72. #16837949C22semidirect
76. #124×D59C22semidirect
77. #16837874C22semidirect
78. C4×#11745687C22semidirect
79. #16837790C22semidirect
80. #16837790C22semidirect
81. #16837789C22semidirect
82. #16837788C22semidirect
83. #16837785C22semidirect
84. #16837784C22semidirect
85. #16837763C22semidirect
86. #16837761C22semidirect
87. #16837760C22semidirect
88. #16837760C22semidirect
89. #16837748C22semidirect
90. #16837747C22semidirect
91. #16837743C22semidirect
92. #16837741C22semidirect
93. #16837726C22semidirect
94. #16837725C22semidirect
95. #16837725C22semidirect
96. #16837725C22semidirect
97. #16837693C22semidirect
98. #16837693C22semidirect
99. #16837692C22semidirect
100. #16837690C22semidirect
101. #16837690C22semidirect
102. #16837690C22semidirect
103. #16837688C22semidirect
104. #16837688C22semidirect
105. #16837685C22semidirect
106. #16837682C22semidirect
107. #16837660C22semidirect
108. #16837659C22semidirect
110. #16837654C22semidirect
111. #16837654C22semidirect
113. #16837652C22semidirect
114. #16837652C22semidirect
115. #16837631C22semidirect
116. #16837631C22semidirect
117. #16837630C22semidirect
118. #16837628C22semidirect
119. #16837627C22semidirect
120. #16837625C22semidirect
121. #16837625C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
124. #16837621C22semidirect
125. #16837619C22semidirect
126. #16837618C22semidirect
127. #16837618C22semidirect
128. #16837617C22semidirect
129. #16837617C22semidirect
130. #16837616C22semidirect
131. #16837615C22semidirect
132. #16837615C22semidirect
133. #16837615C22semidirect
134. #16837614C22semidirect
135. #16837599C22semidirect
136. #16837596C22semidirect
138. #16837595C22semidirect
139. #16837595C22semidirect
140. #16837594C22semidirect
141. #16837565C22semidirect
142. #16837564C22semidirect
143. #16837554C22semidirect
144. #16837553C22semidirect
145. #16837553C22semidirect
146. #16837551C22semidirect
147. #16837547C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837544C22semidirect
151. #16837542C22semidirect
152. #16837539C22semidirect
153. #16837537C22semidirect
155. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837531C22semidirect
160. #16837529C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837514C22semidirect
164. #16837512C22semidirect
165. #16837505C22semidirect
166. #16837502C22semidirect
167. #16837499C22semidirect
168. #16837499C22semidirect
169. SD16×Dic59C22semidirect
170. C4×#11745670C22semidirect
171. C4×#11745669C22semidirect
172. #16837482C22semidirect
173. #16837479C22semidirect
174. #16837478C22semidirect
175. #16837473C22semidirect
176. #16837473C22semidirect
177. #16837472C22semidirect
178. #16837471C22semidirect
179. #16837463C22semidirect
180. #16837462C22semidirect
181. #16837458C22semidirect
182. #16837427C22semidirect
183. #16837424C22semidirect
184. #16837409C22semidirect
185. #16837405C22semidirect
186. #16837405C22semidirect
187. #16837395C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×D8×C59C22semidirect
190. C59×#535C22semidirect
191. C59×#518C22semidirect
192. C59×#463C22semidirect
193. C59×#463C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
197. C59×#459C22semidirect
198. C59×#459C22semidirect
199. C59×#459C22semidirect
200. C59×#424C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
927. #3041D59semidirect
946. C2×AGL(1,ℤ/8)C2×D59semidirect
948. C22×D8C2×D59semidirect
983. #535C2×D59semidirect
992. #518C2×D59semidirect
1050. #463C2×D59semidirect
1051. #463C2×D59semidirect
1052. #463C2×D59semidirect
1053. #463C2×D59semidirect
1061. #459C2×D59semidirect
1062. #459C2×D59semidirect
1063. #459C2×D59semidirect
1106. #424C2×D59semidirect
1111. #418C2×D59semidirect
1113. #416C2×D59semidirect
1114. C59#62088semidirect

Maximal subgroups

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

subgroupindex
#214386142
#214380472
#214371842
#214371792
#214368922
#214368832
#214363412
#214363342
#214362892
#214362782
#214361332
#214361282
#214357332
#214357272
#214355762
#214355712
#214355702
#214355672
#214355632
#214354752
#214351902
#214351872
#214350812
#214342802
#214342792
#214342442
#214335942
#214335852
#214332642
C59×#30412
#6208859