Finite Group Databasebeta

← #29459479

Subgroups — #29459479

Order 15104.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437424C211yesmaximal, characteristic
2#536×D59C211yesmaximal, characteristic, complemented
3#21434990C211yesmaximal, characteristic, complemented
4#21434989C211yesmaximal, characteristic, complemented
5#21434988C211yesmaximal, characteristic, complemented
6#21434986C211yesmaximal, characteristic, complemented
7#21434985C211yesmaximal, characteristic, complemented
8#21434983C211yesmaximal, characteristic, complemented
9#21434980C211yesmaximal, characteristic, complemented
10#21434978C211yesmaximal, characteristic, complemented
11#21434977C211yesmaximal, characteristic, complemented
12#21434975C211yesmaximal, characteristic, complemented
13#21434972C211yesmaximal, characteristic, complemented
14#21434970C211yesmaximal, characteristic, complemented
15#21434966C211yesmaximal, characteristic, complemented
16#21434964C211yesmaximal, characteristic, complemented
17#21434962C211yesmaximal, characteristic, complemented
18#21434041C211yesmaximal, characteristic, complemented
19#21434039C211yesmaximal, characteristic, complemented
20#21434028C211yesmaximal, characteristic, complemented
21#21434024C211yesmaximal, characteristic, complemented
22#21433725C211yesmaximal, characteristic, complemented
23#21433723C211yesmaximal, characteristic, complemented
24#21433721C211yesmaximal, characteristic, complemented
25#21433719C211yesmaximal, characteristic, complemented
26#21433353C211yesmaximal, characteristic, complemented
27#21433353C211yesmaximal, characteristic, complemented
28#21433331C211yesmaximal, characteristic, complemented
29#21433327C211yesmaximal, characteristic, complemented
30#21432538C211yesmaximal, characteristic, complemented
31C59×#3201C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C22×Q8×D59C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic
36C2×#14273759C2211yescharacteristic
37C2×#14273756C2211yescharacteristic
38C2×#14273756C2211yescharacteristic
39C22×#11745659C2211yescharacteristic, complemented
40C2×M16×D59C2211yescharacteristic, complemented
41#16837983C2211yescharacteristic
42#16837980C2211yescharacteristic
43#16837980C2211yescharacteristic
44#16837978C2211yescharacteristic
45#16837977—21no—
46#16837976C2211yescharacteristic
47#16837975—21no—
48#16837975C2211yescharacteristic
49#16837975C2211yescharacteristic
50#16837975C2211yescharacteristic
51#16837975C2211yescharacteristic
52#16837975C2211yescharacteristic, complemented
53#16837975C2211yescharacteristic, complemented
54#16837974—21no—
55#16837974—21no—
56#16837973C2211yescharacteristic, complemented
57#16837972—21no—
58#16837968—21no—
59#16837968C2211yescharacteristic
60#16837968C2211yescharacteristic
61#16837960—21no—
62#16837960—21no—
63#16837947—21no—
64#16837947—21no—
65C4⋊Q8×D59—21no—
66#124×D59—21no—
67#16837915—21no—
68#16837915C2211yescharacteristic
69#16837915C2211yescharacteristic
70#16837912—21no—
71#16837912C2211yescharacteristic
72#16837912C2211yescharacteristic
73#123×D59—21no—
74#123×D59—21no—
75C22⋊Q8×D59C2211yescharacteristic
76C22⋊Q8×D59C2211yescharacteristic
77C22⋊Q8×D59C2211yescharacteristic, complemented
78C22⋊Q8×D59C2211yescharacteristic, complemented
79C2×#14273685C2211yescharacteristic
80#117×D59C2211yescharacteristic, complemented
81#16837746C2211yescharacteristic, complemented
82#16837746C2211yescharacteristic, complemented
83#16837746C2211yescharacteristic, complemented
84#16837745C2211yescharacteristic, complemented
85#16837745C2211yescharacteristic, complemented
86#16837745C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837741C2211yescharacteristic, complemented
94#16837741C2211yescharacteristic, complemented
95#16837740C2211yescharacteristic, complemented
96#16837738C2211yescharacteristic, complemented
97#16837737C2211yescharacteristic, complemented
98#16837735C2211yescharacteristic, complemented
99#16837733C2211yescharacteristic, complemented
100#16837732C2211yescharacteristic, complemented
101#16837730C2211yescharacteristic, complemented
102#16837729C2211yescharacteristic, complemented
103#16837728C2211yescharacteristic, complemented
104#16837727C2211yescharacteristic, complemented
105#16837726C2211yescharacteristic, complemented
106#16837725C2211yescharacteristic, complemented
107#16837724C2211yescharacteristic, complemented
108#16837723C2211yescharacteristic, complemented
109#16837661C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837659C2211yescharacteristic, complemented
112#16837659C2211yescharacteristic, complemented
113#16837658C2211yescharacteristic, complemented
114#16837658C2211yescharacteristic, complemented
115#16837657C2211yescharacteristic, complemented
116#16837651C2211yescharacteristic, complemented
117#16837650C2211yescharacteristic, complemented
118#16837649C2211yescharacteristic, complemented
119#16837648C2211yescharacteristic, complemented
120#16837647C2211yescharacteristic, complemented
121#16837646C2211yescharacteristic, complemented
122#16837645C2211yescharacteristic, complemented
123#16837644C2211yescharacteristic, complemented
124#16837643C2211yescharacteristic, complemented
125#16837642C2211yescharacteristic, complemented
126#16837642C2211yescharacteristic, complemented
127#16837641C2211yescharacteristic, complemented
128#16837641C2211yescharacteristic, complemented
129#16837640C2211yescharacteristic, complemented
130#16837634C2211yescharacteristic, complemented
131#16837633C2211yescharacteristic, complemented
132#16837632C2211yescharacteristic, complemented
133#16837631C2211yescharacteristic, complemented
134#16837630C2211yescharacteristic, complemented
135#16837629C2211yescharacteristic, complemented
136#16837628C2211yescharacteristic, complemented
137#16837566C2211yescharacteristic, complemented
138#16837566C2211yescharacteristic, complemented
139#16837564C2211yescharacteristic, complemented
140#16837564C2211yescharacteristic, complemented
141#16837562C2211yescharacteristic, complemented
142#16837562C2211yescharacteristic, complemented
143#16837560C2211yescharacteristic, complemented
144#16837559C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837559C2211yescharacteristic, complemented
147#16837559C2211yescharacteristic, complemented
148#16837558C2211yescharacteristic, complemented
149#16837557C2211yescharacteristic, complemented
150#16837556C2211yescharacteristic, complemented
151#16837556C2211yescharacteristic, complemented
152#16837556C2211yescharacteristic, complemented
153#16837556C2211yescharacteristic, complemented
154#16837554C2211yescharacteristic, complemented
155#16837554C2211yescharacteristic, complemented
156#16837551C2211yescharacteristic, complemented
157#16837551C2211yescharacteristic, complemented
158#16837543C2211yescharacteristic, complemented
159#16837542C2211yescharacteristic, complemented
160#16837542C2211yescharacteristic, complemented
161#16837541C2211yescharacteristic, complemented
162#16837540C2211yescharacteristic, complemented
163#16837539C2211yescharacteristic, complemented
164#16837539C2211yescharacteristic, complemented
165#16837443C2211yescharacteristic, complemented
166#16837443C2211yescharacteristic, complemented
167#16837441C2211yescharacteristic, complemented
168#16837441C2211yescharacteristic, complemented
169#16837409C2211yescharacteristic, complemented
170#16837409C2211yescharacteristic, complemented
171#16837409C2211yescharacteristic, complemented
172#16837409C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic
174#16837402C2211yescharacteristic
175#16837400C2211yescharacteristic
176#16837400C2211yescharacteristic
177#16837370C2211yescharacteristic
178#16837369C2211yescharacteristic, complemented
179#16837368C2211yescharacteristic
180#16837367C2211yescharacteristic
181#16837367C2211yescharacteristic
182#16837367C2211yescharacteristic, complemented
183#16837367C2211yescharacteristic, complemented
184#16837364C2211yescharacteristic
185#16837364C2211yescharacteristic
186#16837364C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic
189C59×#536C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#451C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203C2×#11745689D411yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745687—21no—
211C2×#11745687D411yescharacteristic
212C2×#11745687D411yescharacteristic
213C2×#11745687D411yescharacteristic
214C2×#11745687C2311yescharacteristic
215#41×D59—42no—
216#41×D59—42no—
217#41×D59—42no—
218#41×D59—42no—
219C22×Dic118—21no—
220C22×Dic118C2311yescharacteristic
221C2×Q8×D59—21no—
222C2×Q8×D59—21no—
223C2×Q8×D59—42no—
224C2×Q8×D59—42no—
225C2×Q8×D59D411yescharacteristic
226C2×Q8×D59C2311yescharacteristic
227C2×Q8×D59C2311yescharacteristic
228C2×Q8×D59C2311yescharacteristic
229C2×Q8×D59C2311yescharacteristic
230C2×Q8×D59C2311yescharacteristic
231C2×D4×D59—21no—
232C2×D4×D59D411yescharacteristic
233C2×D4×D59D411yescharacteristic
234C2×D4×D59D411yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C22×C4×D59—21no—
237C22×C4×D59—21no—
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2311yescharacteristic
241#14273759—42no—
242#14273759—42no—
243#14273756—42no—
244#14273756—42no—
245C2×Dic236C2311yescharacteristic
246C2×Dic236C2311yescharacteristic
247C2×#11745672C2311yescharacteristic
248C2×#11745672C2311yescharacteristic
249C2×#11745672C2311yescharacteristic
250C2×#11745672C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745660C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745670C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257C2×#11745664C2311yescharacteristic
258C2×#11745659—42no—
259C2×#11745659C2311yescharacteristic
260C2×#11745659C2311yescharacteristic
261C2×#11745659C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265M16×D59—42no—
266C22×C59⋊C8C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269#14273727—21no—
270#14273726—21no—
271#14273726—21no—
272#14273726—21no—
273#14273726—21no—
274#14273726—21no—
275#14273726—21no—
276#14273725—21no—
277#14273725—21no—
278#14273723—21no—
279#14273723—21no—
280#14273716—21no—
281#14273715—21no—
282#14273714—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273712—21no—
298#14273712—21no—
299#14273711—21no—
300#14273711—21no—
301#14273710—21no—
302#14273710—21no—
303#14273709—21no—
304#14273709—21no—
305#14273709—21no—
306#14273709—21no—
307#14273709—21no—
308#14273709—21no—
309#14273709—21no—
310#14273709—21no—
311#14273708—21no—
312#14273708—21no—
313#14273707—21no—
314#14273707C2311yescharacteristic
315#14273707C2311yescharacteristic
316#14273707C2311yescharacteristic
317#14273707C2311yescharacteristic
318#14273707C2311yescharacteristic
319#14273707C2311yescharacteristic
320#14273706—21no—
321#14273706C2311yescharacteristic
322#14273706C2311yescharacteristic
323#14273706C2311yescharacteristic
324#14273706C2311yescharacteristic
325#14273706C2311yescharacteristic
326#14273706C2311yescharacteristic
327#14273705—21no—
328#14273705—21no—
329#14273705—21no—
330#14273705—21no—
331#14273704—21no—
332#14273704—21no—
333#14273704—21no—
334#14273704—21no—
335#14273703—21no—
336#14273703C2311yescharacteristic
337#14273703C2311yescharacteristic
338#14273703C2311yescharacteristic
339#14273703C2311yescharacteristic
340#14273703C2311yescharacteristic
341#14273703C2311yescharacteristic
342#14273702—21no—
343#14273702C2311yescharacteristic
344#14273702C2311yescharacteristic
345#14273701—21no—
346#14273701—21no—
347#14273701—21no—
348#14273701C2311yescharacteristic
349#14273701C2311yescharacteristic
350#14273699—21no—
351#14273699—21no—
352#14273699—21no—
353#14273699—21no—
354#14273698—21no—
355#14273698C2311yescharacteristic
356#14273698C2311yescharacteristic
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365D4×Dic59—21no—
366D4×Dic59—21no—
367#14273689—21no—
368#14273689—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373#14273686C2311yescharacteristic
374#14273685—21no—
375#14273685—21no—
376#14273685C2311yescharacteristic
377#14273685C2311yescharacteristic
378#14273685C2311yescharacteristic
379#14273685C2311yescharacteristic
380#14273685C2311yescharacteristic
381#14273685C2311yescharacteristic
382#14273684—21no—
383#14273683—21no—
384C2×C4⋊Dic59C2311yescharacteristic
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59C2311yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C2×C4×Dic59—21no—
398C42×D59—21no—
399#14273661C2311yescharacteristic
400#14273661C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273660C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409#14273658C2311yescharacteristic
410#14273658C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273651C2311yescharacteristic
422#14273651C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273650C2311yescharacteristic
426#14273650C2311yescharacteristic
427#14273650C2311yescharacteristic
428#14273650C2311yescharacteristic
429#14273649C2311yescharacteristic
430#14273649C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273648C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445(C2×D59)⋊C8C2311yescharacteristic
446(C2×D59)⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C22×Q8×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457#124×C59—21no—
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465C22⋊Q8×C59C2311yescharacteristic
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492C23×D59C2×D411yescharacteristic
493C23×D59C2×D411yescharacteristic
494#41×C59—41no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498C2×Q8×C59—21no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59C2×D411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59C2×D411yescharacteristic
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59C2×D411yescharacteristic
535C22×Dic59C2×D411yescharacteristic
536C22×Dic59C2×D411yescharacteristic
537#11745689—22no—
538#11745689—22no—
539#11745689—42no—
540Q8×D59—22no—
541Q8×D59—22no—
542Q8×D59—22no—
543Q8×D59—22no—
544Q8×D59—41no—
545Q8×D59—41no—
546Q8×D59—41no—
547Q8×D59—41no—
548Q8×D59—41no—
549Q8×D59—41no—
550Q8×D59—42no—
551Q8×D59—44no—
552Q8×D59—44no—
553#11745687—22no—
554#11745687—22no—
555#11745687—42no—
556#11745687—42no—
557#11745687—42no—
558#11745687—44no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—42no—
562D4×D59—42no—
563D4×D59—42no—
564D4×D59—44no—
565#11745685—41no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—41no—
573#11745685—44no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236C2×D411yescharacteristic
578C2×D236C2×D411yescharacteristic
579C2×D236C2×D411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×C4×D59—22no—
582C2×C4×D59—22no—
583C2×C4×D59—22no—
584C2×C4×D59—22no—
585C2×C4×D59—22no—
586C2×C4×D59—22no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—44no—
597C2×C4×D59—44no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×C4×D59C2411yescharacteristic
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118—21no—
611C2×Dic118—21no—
612C2×Dic118—21no—
613C2×Dic118—21no—
614C2×Dic118—41no—
615C2×Dic118—41no—
616C2×Dic118—44no—
617C2×Dic118C2×D411yescharacteristic
618C2×Dic118C2×D411yescharacteristic
619C2×Dic118C2×D411yescharacteristic
620C2×Dic118C2411yescharacteristic
621C2×Dic118C2411yescharacteristic
622C2×Dic118C2411yescharacteristic
623Q16×C59—41no—
624Q16×C59—41no—
625SD16×C59—41no—
626SD16×C59—41no—
627M16×C59—41no—
628C2×C8×C59—41no—
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C4⋊C4×C59—21no—
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59—21no—
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C42×C59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663#11745672—41no—
664#11745672—41no—
665#11745672—41no—
666#11745672—41no—
667#11745671—41no—
668#11745671—41no—
669#11745670—41no—
670#11745670—41no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731Dic236—41no—
732Dic236—41no—
733#11745660—41no—
734#11745660—41no—
735#11745659—22no—
736#11745659—22no—
737#11745659—22no—
738#11745659—22no—
739#11745659—41no—
740#11745659—41no—
741C8×D59—41no—
742C8×D59—41no—
743C23×C59—21no—
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C23×C59C22×D411yescharacteristic
747C22×D59—22no—
748C22×D59—22no—
749C22×D59—22no—
750C22×D59—21no—
751C22×D59—41no—
752C22×D59—41no—
753C22×D59—41no—
754C22×D59—41no—
755C22×D59—41no—
756C22×D59—41no—
757C22×D59—42no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—41no—
771Q8×C59—42no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—41no—
775D4×C59—41no—
776D4×C59—41no—
777D4×C59—42no—
778D4×C59—81no—
779D4×C59—81no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—42no—
794C2×C4×C59—42no—
795C2×C4×C59—81no—
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—41no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C2×Dic59—22no—
814C2×Dic59—22no—
815C2×Dic59—22no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—42no—
824C2×Dic59—42no—
825C2×Dic59—81no—
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830D236—21no—
831D236—21no—
832D236—41no—
833D236—41no—
834D236—41no—
835D236—42no—
836D236—81no—
837D236—81no—
838C4×D59—22no—
839C4×D59—22no—
840C4×D59—22no—
841C4×D59—21no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—22no—
848C4×D59—22no—
849C4×D59—22no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59H(5,𝔽2)12yes—
860C4×D59H(5,𝔽2)12yes—
861Dic118—21no—
862Dic118—21no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—41no—
868Dic118—41no—
869Dic118—41no—
870Dic118—42no—
871Dic118—42no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118—42no—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#60754—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59C23×D411yescharacteristic
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—44no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—82no—
914C2×D59—82no—
915C2×D59—84no—
916C2×D59#53412yes—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59—41no—
927C4×C59C2×H(5,𝔽2)11yescharacteristic
928C4×C59C2×H(5,𝔽2)11yescharacteristic
929Dic59—21no—
930Dic59—21no—
931Dic59—21no—
932Dic59—41no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938Dic59—41no—
939Dic59#53412yes—
940#3449—591no—
941C2×#536—591no—
942#3202—591no—
943#3202—591no—
944#3202—591no—
945#3202—591no—
946#3201—591no—
947#3201—591no—
948#3201—591no—
949#3201—591no—
950#3201—591no—
951#3201—591no—
952#3201—591no—
953#3201D5911yescharacteristic, complemented
954#3200—591no—
955#3200—591no—
956#3200—591no—
957#3200—591no—
958#3095—591no—
959#3095—591no—
960#3093—591no—
961#3093—591no—
962#3056—591no—
963#3056—591no—
964#3056—591no—
965#3056—591no—
966#3007—591no—
967#3007—591no—
968#3004—591no—
969#3004—591no—
970#2879—591no—
971C2×C59—41no—
972C2×C59—41no—
973C2×C59—41no—
974C2×C59—81no—
975C2×C59C2×#53411yescharacteristic
976C2×C59#358611yescharacteristic
977C2×C59#358611yescharacteristic
978D59—22no—
979D59—41no—
980D59—41no—
981D59—41no—
982D59—81no—
983C22×#41—591no—
984C22×#41—591no—
985C23×Q8—591no—
986C2×#137—591no—
987C2×#137—591no—
988C2×#137—591no—
989C2×#137—591no—
990C22×M16—591no—
991C22×M16—591no—
992#537—591no—
993#537—591no—
994#537—591no—
995#537C2×D5911yescharacteristic
996#536—591no—
997#536—591no—
998#536—591no—
999#536—591no—
1000#536—591no—
1001#536—591no—
1002#536—591no—
1003#536—591no—
1004#536—591no—
1005#536—1181no—
1006#536—1181no—
1007#536—1181no—
1008#536—1181no—
1009#536—1181no—
1010#536C2×D5911yescharacteristic, complemented
1011#535—591no—
1012#535—591no—
1013#535—1181no—
1014#534—1181no—
1015#534—1181no—
1016#532—1181no—
1017#532—1181no—
1018C2×C4⋊Q8—1181no—
1019C2×#124—1181no—
1020#525—591no—
1021#525—591no—
1022#525—591no—
1023#525—591no—
1024#525—1181no—
1025#525—1181no—
1026C2×#123—1181no—
1027C2×#123—1181no—
1028C2×C22⋊Q8—591no—
1029C2×C22⋊Q8—591no—
1030C2×C22⋊Q8—591no—
1031C2×C22⋊Q8—591no—
1032C2×#117—591no—
1033C2×#117—591no—
1034#485—591no—
1035#485—591no—
1036#485—591no—
1037#485—591no—
1038#485—591no—
1039#485—591no—
1040#485—591no—
1041#485—591no—
1042#485—591no—
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485—591no—
1047#485—591no—
1048#485—591no—
1049#485C2×D5911yescharacteristic, complemented
1050#484—591no—
1051#484—591no—
1052#484—591no—
1053#484C2×D5911yescharacteristic, complemented
1054#483—591no—
1055#483—591no—
1056#483—591no—
1057#483C2×D5911yescharacteristic, complemented
1058#482—591no—
1059#482—591no—
1060#482—591no—
1061#482—591no—
1062#482—591no—
1063#482—591no—
1064#482—591no—
1065#482C2×D5911yescharacteristic, complemented
1066#470—591no—
1067#470—591no—
1068#470—591no—
1069#470—591no—
1070#470—591no—
1071#470—591no—
1072#470—591no—
1073#470C2×D5911yescharacteristic, complemented
1074#468—591no—
1075#468—591no—
1076#468—591no—
1077#468—591no—
1078#468—591no—
1079#468—591no—
1080#468—591no—
1081#468C2×D5911yescharacteristic, complemented
1082#467—591no—
1083#467—591no—
1084#467—591no—
1085#467—591no—
1086#467—591no—
1087#467—591no—
1088#467—591no—
1089#467C2×D5911yescharacteristic, complemented
1090#465—591no—
1091#465—591no—
1092#465—591no—
1093#465—591no—
1094#465—591no—
1095#465—591no—
1096#465—591no—
1097#465C2×D5911yescharacteristic, complemented
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#452—591no—
1103#452—591no—
1104#452C2×D5911yescharacteristic, complemented
1105#452C2×D5911yescharacteristic, complemented
1106#451—591no—
1107#451—591no—
1108#451—591no—
1109#451—591no—
1110#451—591no—
1111#451—591no—
1112#451—591no—
1113#451—591no—
1114#451—591no—
1115#451—591no—
1116#451—591no—
1117#451C2×D5911yescharacteristic, complemented
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#448—591no—
1123#448—591no—
1124#448—591no—
1125#448—591no—
1126#448—591no—
1127#448—591no—
1128#448—591no—
1129#448C2×D5911yescharacteristic, complemented
1130#428—591no—
1131#428—591no—
1132#428—591no—
1133#428—591no—
1134#419—591no—
1135#419—591no—
1136#419—591no—
1137#419—591no—
1138#417—591no—
1139#417—591no—
1140#417—591no—
1141#417—591no—
1142#408—591no—
1143#408—591no—
1144#408—591no—
1145#408—591no—
1146#408—591no—
1147#408—591no—
1148#408—591no—
1149#408C2×D5911yescharacteristic, complemented
1150#407—591no—
1151#407—591no—
1152#407—591no—
1153#407—591no—
1154C59#6075411yescharacteristic, complemented, Sylow
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—591no—
1164C2×#41—591no—
1165C2×#41—1181no—
1166C2×#41—1181no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41—2362no—
1170C2×#41—2362no—
1171C2×#41C22×D5911yescharacteristic
1172C2×#41C22×D5911yescharacteristic
1173C22×Q8—591no—
1174C22×Q8—591no—
1175C22×Q8—591no—
1176C22×Q8—591no—
1177C22×Q8—591no—
1178C22×Q8—591no—
1179C22×Q8—591no—
1180C22×Q8—1181no—
1181C22×Q8—1181no—
1182C22×Q8—1181no—
1183C22×Q8—2362no—
1184C22×Q8—2362no—
1185C22×Q8C22×D5911yescharacteristic
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—1181no—
1191C23×C4—591no—
1192C23×C4—591no—
1193C23×C4—591no—
1194C23×C4—1181no—
1195C23×C4—1181no—
1196#137—2362no—
1197#137—2362no—
1198#137—2362no—
1199#137—2362no—
1200C2×Q16—591no—
1201C2×Q16—591no—
1202C2×Q16—591no—
1203C2×Q16—591no—
1204C2×Q16—591no—
1205C2×Q16—591no—
1206C2×Q16C22×D5911yescharacteristic
1207C2×Q16C22×D5911yescharacteristic
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16C22×D5911yescharacteristic
1215C2×SD16C22×D5911yescharacteristic
1216C2×M16—591no—
1217C2×M16—591no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C2×M16—591no—
1223C2×M16—2362no—
1224C2×M16—2362no—
1225C2×M16C22×D5911yescharacteristic
1226C22×C8—591no—
1227C22×C8—591no—
1228C22×C8—591no—
1229C22×C8C22×D5911yescharacteristic
1230C4⋊Q8—21no—
1231C4⋊Q8—1181no—
1232C4⋊Q8—1181no—
1233C4⋊Q8—1181no—
1234C4⋊Q8—1181no—
1235C4⋊Q8—1181no—
1236C4⋊Q8—1181no—
1237C4⋊Q8—1181no—
1238C4⋊Q8—1181no—
1239C4⋊Q8—1181no—
1240#127—1181no—
1241#127—1181no—
1242#124—21no—
1243#124—1181no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124—1181no—
1248#124—1181no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#123—21no—
1255#123—21no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278C22⋊Q8—21no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—591no—
1289C22⋊Q8—591no—
1290C22⋊Q8—591no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—591no—
1294C22⋊Q8—591no—
1295C22⋊Q8—591no—
1296C22⋊Q8—591no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8—1181no—
1303C22⋊Q8—1181no—
1304C22⋊Q8—1181no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8C22×D5911yescharacteristic
1309C22⋊Q8C22×D5911yescharacteristic
1310C22⋊Q8C22×D5911yescharacteristic
1311C22⋊Q8C22×D5911yescharacteristic
1312C22⋊Q8C22×D5911yescharacteristic
1313C22⋊Q8C22×D5911yescharacteristic
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350#117—591no—
1351#117—591no—
1352#117—591no—
1353#117—591no—
1354#117—591no—
1355#117—591no—
1356#117—591no—
1357#117—1181no—
1358#117—1181no—
1359#117—1181no—
1360#117—1181no—
1361#117C22×D5911yescharacteristic
1362C2×C4⋊C4—591no—
1363C2×C4⋊C4—591no—
1364C2×C4⋊C4—591no—
1365C2×C4⋊C4—1181no—
1366C2×C4⋊C4—1181no—
1367C2×C4⋊C4—1181no—
1368C2×C4⋊C4—1181no—
1369C2×C4⋊C4C22×D5911yescharacteristic
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C22⋊C4—1181no—
1373C2×C22⋊C4—1181no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C42—1181no—
1377C2×C42—1181no—
1378#107—591no—
1379#107—591no—
1380#107—591no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107C22×D5911yescharacteristic
1385#107C22×D5911yescharacteristic
1386#106—591no—
1387#106—591no—
1388#106—591no—
1389#106—591no—
1390#106—591no—
1391#106—591no—
1392#106C22×D5911yescharacteristic
1393#106C22×D5911yescharacteristic
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
1415#103C22×D5911yescharacteristic
1416#103C22×D5911yescharacteristic
1417#103C22×D5911yescharacteristic
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102C22×D5911yescharacteristic
1425#102C22×D5911yescharacteristic
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8C22×D5911yescharacteristic
1439C22⋊C8C22×D5911yescharacteristic
1440C22⋊C8C22×D5911yescharacteristic
1441C22⋊C8C22×D5911yescharacteristic
1442C24—591no—
1443C24—591no—
1444C24—591no—
1445C24—1181no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2364no—
1463#41—2362no—
1464#41—2362no—
1465#41—2362no—
1466#41—2362no—
1467#41—2364no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—591no—
1474C2×Q8—591no—
1475C2×Q8—591no—
1476C2×Q8—591no—
1477C2×Q8—1181no—
1478C2×Q8—1181no—
1479C2×Q8—1181no—
1480C2×Q8—1181no—
1481C2×Q8—1181no—
1482C2×Q8—1182no—
1483C2×Q8—1182no—
1484C2×Q8—1182no—
1485C2×Q8—1182no—
1486C2×Q8—1181no—
1487C2×Q8—2361no—
1488C2×Q8—2361no—
1489C2×Q8—2364no—
1490C2×Q8—2362no—
1491C2×Q8—2361no—
1492C2×Q8—2361no—
1493C2×Q8—2361no—
1494C2×Q8—2361no—
1495C2×Q8—2361no—
1496C2×Q8—2361no—
1497C2×Q8—2364no—
1498C2×Q8—2364no—
1499C2×Q8D4×D5911yescharacteristic
1500C2×Q8C23×D5911yescharacteristic
1501C2×Q8C23×D5911yescharacteristic
1502C2×Q8C23×D5911yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—2361no—
1527C2×D4—2361no—
1528C2×D4—2362no—
1529C2×D4—2362no—
1530C2×D4—2362no—
1531C2×D4—2364no—
1532C2×D4D4×D5911yescharacteristic
1533C2×D4D4×D5911yescharacteristic
1534C2×D4D4×D5911yescharacteristic
1535C2×D4C23×D5911yescharacteristic
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—591no—
1542C22×C4—591no—
1543C22×C4—591no—
1544C22×C4—591no—
1545C22×C4—591no—
1546C22×C4—591no—
1547C22×C4—591no—
1548C22×C4—591no—
1549C22×C4—591no—
1550C22×C4—591no—
1551C22×C4—591no—
1552C22×C4—1182no—
1553C22×C4—1182no—
1554C22×C4—1182no—
1555C22×C4—1182no—
1556C22×C4—1182no—
1557C22×C4—1182no—
1558C22×C4—1181no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—2364no—
1571C22×C4—2364no—
1572C22×C4C23×D5911yescharacteristic
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575Q16—41no—
1576Q16—41no—
1577Q16—2361no—
1578Q16—2361no—
1579Q16—2361no—
1580Q16—2361no—
1581Q16—2361no—
1582Q16—2361no—
1583SD16—41no—
1584SD16—41no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591M16—41no—
1592M16—1182no—
1593M16—1182no—
1594M16—1182no—
1595M16—1182no—
1596M16—2361no—
1597M16—2361no—
1598M16—2361no—
1599C2×C8—41no—
1600C2×C8—591no—
1601C2×C8—591no—
1602C2×C8—591no—
1603C2×C8—591no—
1604C2×C8—2361no—
1605C2×C8—2361no—
1606C2×C8—2361no—
1607C2×C8C23×D5911yescharacteristic
1608C2×C8C23×D5911yescharacteristic
1609C2×C8C23×D5911yescharacteristic
1610C2×C8C23×D5911yescharacteristic
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—591no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4C23×D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C4⋊C4C23×D5911yescharacteristic
1646C4⋊C4C23×D5911yescharacteristic
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C42—21no—
1688C42—1181no—
1689C42—1181no—
1690C42—1181no—
1691C42—1181no—
1692C42—1181no—
1693C42—1181no—
1694C42—1181no—
1695C23—21no—
1696C23—591no—
1697C23—591no—
1698C23—591no—
1699C23—591no—
1700C23—1182no—
1701C23—1182no—
1702C23—1182no—
1703C23—1181no—
1704C23—4721no—
1705C23—4721no—
1706C23—2361no—
1707C23—2361no—
1708C23—2361no—
1709C23—2361no—
1710C23—2361no—
1711C23—2361no—
1712C23—2362no—
1713C23C2×D4×D5911yescharacteristic
1714C23C2×D4×D5911yescharacteristic
1715C23C2×D4×D5911yescharacteristic
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—21no—
1722Q8—41no—
1723Q8—42no—
1724Q8—1181no—
1725Q8—1181no—
1726Q8—1181no—
1727Q8—1181no—
1728Q8—1181no—
1729Q8—1181no—
1730Q8—2361no—
1731Q8—2361no—
1732Q8—2361no—
1733Q8—2362no—
1734Q8—2362no—
1735Q8—2362no—
1736Q8—2362no—
1737Q8—2362no—
1738Q8—2362no—
1739D4—21no—
1740D4—21no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—42no—
1745D4—81no—
1746D4—81no—
1747D4—1181no—
1748D4—1181no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—4721no—
1754D4—4721no—
1755D4—2361no—
1756D4—2361no—
1757D4—2361no—
1758D4—2362no—
1759D4—2361no—
1760D4—2361no—
1761D4—2361no—
1762D4—2361no—
1763D4—2361no—
1764D4—2361no—
1765D4—2362no—
1766D4—2362no—
1767D4—2362no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—81no—
1784C2×C4—591no—
1785C2×C4—592no—
1786C2×C4—592no—
1787C2×C4—591no—
1788C2×C4—591no—
1789C2×C4—591no—
1790C2×C4—1182no—
1791C2×C4—1182no—
1792C2×C4—1182no—
1793C2×C4—1182no—
1794C2×C4—1182no—
1795C2×C4—1182no—
1796C2×C4—1182no—
1797C2×C4—1182no—
1798C2×C4—1182no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—4721no—
1813C2×C4—2362no—
1814C2×C4—2362no—
1815C2×C4—2362no—
1816C2×C4—2362no—
1817C2×C4—2362no—
1818C2×C4—2362no—
1819C2×C4—2362no—
1820C2×C4—2362no—
1821C2×C4—2362no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4C2×D4×D5911yescharacteristic
1825C2×C4C2×D4×D5911yescharacteristic
1826C2×C4C2×D4×D5911yescharacteristic
1827C2×C4C24×D5911yescharacteristic
1828C8—21no—
1829C8—21no—
1830C8—21no—
1831C8—21no—
1832C8—1181no—
1833C8—1181no—
1834C8—1181no—
1835C8—1181no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—592no—
1849C22—1181no—
1850C22—1181no—
1851C22—1181no—
1852C22—1181no—
1853C22—1181no—
1854C22—1181no—
1855C22—1181no—
1856C22—1181no—
1857C22—1181no—
1858C22—1181no—
1859C22—1181no—
1860C22—4722no—
1861C22—4722no—
1862C22—4724no—
1863C22—2364no—
1864C22—2361no—
1865C22—2361no—
1866C22—2361no—
1867C22C22×D4×D5911yescharacteristic
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—592no—
1879C4—1181no—
1880C4—1181no—
1881C4—1181no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4—2361no—
1887C4—2361no—
1888C4—2361no—
1889C4H(5,𝔽2)×D5911yescharacteristic
1890C4H(5,𝔽2)×D5911yescharacteristic
1891C2—41no—
1892C2—41no—
1893C2—41no—
1894C2—81no—
1895C2—1182no—
1896C2—4721no—
1897C2—2361no—
1898C2—2361no—
1899C2—2361no—
1900C2#534×D5911yescharacteristic
1901C2#2143887811yescharacteristic
1902C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3201C2
socleC22×C59C23×D4
prime radical#21437424C2
hypercenter#3201D59
hypocenterC59#60754
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
2. #536×D59C2semidirect
3. #21434990C2semidirect
4. #21434989C2semidirect
5. #21434988C2semidirect
6. #21434986C2semidirect
7. #21434985C2semidirect
8. #21434983C2semidirect
9. #21434980C2semidirect
10. #21434978C2semidirect
11. #21434977C2semidirect
12. #21434975C2semidirect
13. #21434972C2semidirect
14. #21434970C2semidirect
15. #21434966C2semidirect
16. #21434964C2semidirect
17. #21434962C2semidirect
18. #21434041C2semidirect
19. #21434039C2semidirect
20. #21434028C2semidirect
21. #21434024C2semidirect
22. #21433725C2semidirect
23. #21433723C2semidirect
24. #21433721C2semidirect
25. #21433719C2semidirect
26. #21433353C2semidirect
27. #21433353C2semidirect
28. #21433331C2semidirect
29. #21433327C2semidirect
30. #21432538C2semidirect
31. C59×#3201C2semidirect
34. C22×Q8×D59C22semidirect
39. C22×#11745659C22semidirect
40. C2×M16×D59C22semidirect
52. #16837975C22semidirect
53. #16837975C22semidirect
56. #16837973C22semidirect
77. C22⋊Q8×D59C22semidirect
78. C22⋊Q8×D59C22semidirect
80. #117×D59C22semidirect
81. #16837746C22semidirect
82. #16837746C22semidirect
83. #16837746C22semidirect
84. #16837745C22semidirect
85. #16837745C22semidirect
86. #16837745C22semidirect
87. #16837744C22semidirect
88. #16837743C22semidirect
89. #16837742C22semidirect
90. #16837742C22semidirect
91. #16837742C22semidirect
92. #16837741C22semidirect
93. #16837741C22semidirect
94. #16837741C22semidirect
95. #16837740C22semidirect
96. #16837738C22semidirect
97. #16837737C22semidirect
98. #16837735C22semidirect
99. #16837733C22semidirect
100. #16837732C22semidirect
101. #16837730C22semidirect
102. #16837729C22semidirect
103. #16837728C22semidirect
104. #16837727C22semidirect
105. #16837726C22semidirect
106. #16837725C22semidirect
107. #16837724C22semidirect
108. #16837723C22semidirect
109. #16837661C22semidirect
110. #16837660C22semidirect
111. #16837659C22semidirect
112. #16837659C22semidirect
113. #16837658C22semidirect
114. #16837658C22semidirect
115. #16837657C22semidirect
116. #16837651C22semidirect
117. #16837650C22semidirect
118. #16837649C22semidirect
119. #16837648C22semidirect
120. #16837647C22semidirect
121. #16837646C22semidirect
122. #16837645C22semidirect
123. #16837644C22semidirect
124. #16837643C22semidirect
125. #16837642C22semidirect
126. #16837642C22semidirect
127. #16837641C22semidirect
128. #16837641C22semidirect
129. #16837640C22semidirect
130. #16837634C22semidirect
131. #16837633C22semidirect
132. #16837632C22semidirect
133. #16837631C22semidirect
134. #16837630C22semidirect
135. #16837629C22semidirect
136. #16837628C22semidirect
137. #16837566C22semidirect
138. #16837566C22semidirect
139. #16837564C22semidirect
140. #16837564C22semidirect
141. #16837562C22semidirect
142. #16837562C22semidirect
143. #16837560C22semidirect
144. #16837559C22semidirect
145. #16837559C22semidirect
146. #16837559C22semidirect
147. #16837559C22semidirect
148. #16837558C22semidirect
149. #16837557C22semidirect
150. #16837556C22semidirect
151. #16837556C22semidirect
152. #16837556C22semidirect
153. #16837556C22semidirect
154. #16837554C22semidirect
155. #16837554C22semidirect
156. #16837551C22semidirect
157. #16837551C22semidirect
158. #16837543C22semidirect
159. #16837542C22semidirect
160. #16837542C22semidirect
161. #16837541C22semidirect
162. #16837540C22semidirect
163. #16837539C22semidirect
164. #16837539C22semidirect
165. #16837443C22semidirect
166. #16837443C22semidirect
167. #16837441C22semidirect
168. #16837441C22semidirect
169. #16837409C22semidirect
170. #16837409C22semidirect
171. #16837409C22semidirect
172. #16837409C22semidirect
178. #16837369C22semidirect
182. #16837367C22semidirect
183. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837364C22semidirect
189. C59×#536C22semidirect
190. C59×#485C22semidirect
191. C59×#484C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#470C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
197. C59×#465C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#408C22semidirect
953. #3201D59semidirect
1010. #536C2×D59semidirect
1049. #485C2×D59semidirect
1053. #484C2×D59semidirect
1057. #483C2×D59semidirect
1065. #482C2×D59semidirect
1073. #470C2×D59semidirect
1081. #468C2×D59semidirect
1089. #467C2×D59semidirect
1097. #465C2×D59semidirect
1104. #452C2×D59semidirect
1105. #452C2×D59semidirect
1117. #451C2×D59semidirect
1129. #448C2×D59semidirect
1149. #408C2×D59semidirect
1154. C59#60754semidirect

Maximal subgroups

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

subgroupindex
#214374242
#536×D592
#214349902
#214349892
#214349882
#214349862
#214349852
#214349832
#214349802
#214349782
#214349772
#214349752
#214349722
#214349702
#214349662
#214349642
#214349622
#214340412
#214340392
#214340282
#214340242
#214337252
#214337232
#214337212
#214337192
#214333532
#214333312
#214333272
#214325382
C59×#32012
#6075459