Finite Group Databasebeta

← #28795412

Subgroups — #28795412

Order 15104.

1304 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432370C211yesmaximal, characteristic
2#21432347C211yesmaximal, characteristic
3#21432345C211yesmaximal, characteristic
4#21432343C211yesmaximal, characteristic
5#21432341C211yesmaximal, characteristic
6#21432339C211yesmaximal, characteristic
7#21432338C211yesmaximal, characteristic
8#21432337C211yesmaximal, characteristic
9#21432336C211yesmaximal, characteristic
10#21432335C211yesmaximal, characteristic
11#21432334C211yesmaximal, characteristic
12#21432333C211yesmaximal, characteristic
13#21432166C211yesmaximal, characteristic
14#21432165C211yesmaximal, characteristic
15#21432162C211yesmaximal, characteristic
16#21427402C211yesmaximal, characteristic
17#21427402C211yesmaximal, characteristic
18#21427402C211yesmaximal, characteristic
19#21427402C211yesmaximal, characteristic
20#21427402C211yesmaximal, characteristic
21#21427402C211yesmaximal, characteristic
22#21427402C211yesmaximal, characteristic
23#21427400C211yesmaximal, characteristic
24#21427400C211yesmaximal, characteristic
25#21427400C211yesmaximal, characteristic
26#21427400C211yesmaximal, characteristic
27#21427400C211yesmaximal, characteristic
28#21426655C211yesmaximal, characteristic
29#21426653C211yesmaximal, characteristic
30#21426653C211yesmaximal, characteristic
31C59×#2839C211yesmaximal, characteristic
32C2×#14273718C2211yescharacteristic
33C2×#14273717C2211yescharacteristic
34C2×#14273717C2211yescharacteristic
35#16837344C2211yescharacteristic
36#16837344C2211yescharacteristic
37#16837344C2211yescharacteristic
38#16837344C2211yescharacteristic
39#16837344C2211yescharacteristic
40#16837344C2211yescharacteristic
41#16837344C2211yescharacteristic
42#16837344C2211yescharacteristic
43#16837344C2211yescharacteristic
44#16837344C2211yescharacteristic
45#16837344C2211yescharacteristic
46#16837344C2211yescharacteristic
47#16837343C2211yescharacteristic
48#16837343C2211yescharacteristic
49#16837343C2211yescharacteristic
50#16837343C2211yescharacteristic
51#16837343C2211yescharacteristic
52#16837343C2211yescharacteristic
53#16837343C2211yescharacteristic
54#16837343C2211yescharacteristic
55#16837343C2211yescharacteristic
56#16837343C2211yescharacteristic
57#16837343C2211yescharacteristic
58#16837343C2211yescharacteristic
59#16837343C2211yescharacteristic
60#16837343C2211yescharacteristic
61#16837342C2211yescharacteristic
62#16837342C2211yescharacteristic
63#16837342C2211yescharacteristic
64#16837342C2211yescharacteristic
65#16837342C2211yescharacteristic
66#16837341C2211yescharacteristic
67#16837341C2211yescharacteristic
68#16837341C2211yescharacteristic
69#16837341C2211yescharacteristic
70#16837341C2211yescharacteristic
71#16837340C2211yescharacteristic
72#16837340C2211yescharacteristic
73#16837340C2211yescharacteristic
74#16837340C2211yescharacteristic
75#16837340C2211yescharacteristic
76#16837336C2211yescharacteristic
77#16837336C2211yescharacteristic
78#16837336C2211yescharacteristic
79#16837336C2211yescharacteristic
80#16837336C2211yescharacteristic
81#16837336C2211yescharacteristic
82#16837336C2211yescharacteristic
83#16837336C2211yescharacteristic
84#16837336C2211yescharacteristic
85#16837336C2211yescharacteristic
86#16837336C2211yescharacteristic
87#16837336C2211yescharacteristic
88#16837336C2211yescharacteristic
89#16837336C2211yescharacteristic
90#16837335C2211yescharacteristic
91#16837335C2211yescharacteristic
92#16837335C2211yescharacteristic
93#16837335C2211yescharacteristic
94#16837335C2211yescharacteristic
95#16837335C2211yescharacteristic
96#16837335C2211yescharacteristic
97#16837335C2211yescharacteristic
98#16837335C2211yescharacteristic
99#16837335C2211yescharacteristic
100#16837335C2211yescharacteristic
101#16837335C2211yescharacteristic
102#16837334C2211yescharacteristic
103#16837334C2211yescharacteristic
104#16837334C2211yescharacteristic
105#16837334C2211yescharacteristic
106#16837334C2211yescharacteristic
107#16837333C2211yescharacteristic
108#16837333C2211yescharacteristic
109#16837333C2211yescharacteristic
110#16837333C2211yescharacteristic
111#16837333C2211yescharacteristic
112#16837333C2211yescharacteristic
113#16837333C2211yescharacteristic
114#16837332C2211yescharacteristic
115#16837332C2211yescharacteristic
116#16837332C2211yescharacteristic
117#16837332C2211yescharacteristic
118#16837332C2211yescharacteristic
119#16837300C2211yescharacteristic
120#16837299C2211yescharacteristic
121#16837299C2211yescharacteristic
122#16837297C2211yescharacteristic
123#16837297C2211yescharacteristic
124#16837289C2211yescharacteristic
125#16837289C2211yescharacteristic
126#16837287C2211yescharacteristic
127#16837287C2211yescharacteristic
128#16837286C2211yescharacteristic
129#16837286C2211yescharacteristic
130#16837285C2211yescharacteristic
131#16837285C2211yescharacteristic
132#16837283C2211yescharacteristic
133#16837283C2211yescharacteristic
134#16837267C2211yescharacteristic
135#16837266C2211yescharacteristic
136#16837266C2211yescharacteristic
137C4⋊C4×Dic59C2211yescharacteristic
138C4⋊C4×Dic59C2211yescharacteristic
139C4⋊C4×Dic59C2211yescharacteristic
140C4⋊C4×Dic59C2211yescharacteristic
141C4⋊C4×Dic59C2211yescharacteristic
142C4⋊C4×Dic59C2211yescharacteristic
143C4⋊C4×Dic59C2211yescharacteristic
144C4⋊C4×Dic59C2211yescharacteristic
145C4⋊C4×Dic59C2211yescharacteristic
146C4⋊C4×Dic59C2211yescharacteristic
147C4⋊C4×Dic59C2211yescharacteristic
148C4⋊C4×Dic59C2211yescharacteristic
149C4⋊C4×Dic59C2211yescharacteristic
150C4⋊C4×Dic59C2211yescharacteristic
151#16837253C2211yescharacteristic
152#16837253C2211yescharacteristic
153#16837253C2211yescharacteristic
154#16837253C2211yescharacteristic
155#16837253C2211yescharacteristic
156#16837253C2211yescharacteristic
157#16837253C2211yescharacteristic
158#16837253C2211yescharacteristic
159#16837253C2211yescharacteristic
160#16837253C2211yescharacteristic
161#16837253C2211yescharacteristic
162#16837253C2211yescharacteristic
163#16837253C2211yescharacteristic
164#16837253C2211yescharacteristic
165#16837253C2211yescharacteristic
166#16837253C2211yescharacteristic
167#16837247C2211yescharacteristic
168#16837247C2211yescharacteristic
169#16837247C2211yescharacteristic
170#16837247C2211yescharacteristic
171C42×Dic59C2211yescharacteristic
172C59×#400C2211yescharacteristic
173C59×#400C2211yescharacteristic
174C59×#400C2211yescharacteristic
175C59×#400C2211yescharacteristic
176C59×#400C2211yescharacteristic
177C59×#400C2211yescharacteristic
178C59×#400C2211yescharacteristic
179C59×#398C2211yescharacteristic
180C59×#398C2211yescharacteristic
181C59×#398C2211yescharacteristic
182C59×#398C2211yescharacteristic
183C59×#398C2211yescharacteristic
184C59×#389C2211yescharacteristic
185C59×#387C2211yescharacteristic
186C59×#387C2211yescharacteristic
187#14273718—24no—
188#14273717—24no—
189#14273717—24no—
190C2×C4⋊Dic59C2311yescharacteristic
191C2×C4⋊Dic59C2311yescharacteristic
192C2×C4⋊Dic59C2311yescharacteristic
193C2×C4⋊Dic59C2311yescharacteristic
194C2×C4⋊Dic59C2311yescharacteristic
195C2×C4⋊Dic59C2311yescharacteristic
196C2×C4⋊Dic59C2311yescharacteristic
197C2×C4⋊Dic59C2311yescharacteristic
198C2×C4⋊Dic59C2311yescharacteristic
199C2×C4⋊Dic59C2311yescharacteristic
200C2×C4⋊Dic59C2311yescharacteristic
201C2×C4⋊Dic59C2311yescharacteristic
202C2×C4⋊Dic59C2311yescharacteristic
203C2×C4⋊Dic59C2311yescharacteristic
204C2×Dic59⋊C4C2311yescharacteristic
205C2×Dic59⋊C4C2311yescharacteristic
206C2×Dic59⋊C4C2311yescharacteristic
207C2×Dic59⋊C4C2311yescharacteristic
208C2×Dic59⋊C4C2311yescharacteristic
209C2×Dic59⋊C4C2311yescharacteristic
210C2×Dic59⋊C4C2311yescharacteristic
211C2×Dic59⋊C4C2311yescharacteristic
212C2×Dic59⋊C4C2311yescharacteristic
213C2×Dic59⋊C4C2311yescharacteristic
214C2×Dic59⋊C4C2311yescharacteristic
215C2×Dic59⋊C4C2311yescharacteristic
216C2×Dic59⋊C4C2311yescharacteristic
217C2×Dic59⋊C4C2311yescharacteristic
218C2×Dic59⋊C4C2311yescharacteristic
219C2×Dic59⋊C4C2311yescharacteristic
220C2×Dic59⋊C4C2311yescharacteristic
221C2×Dic59⋊C4C2311yescharacteristic
222C2×Dic59⋊C4C2311yescharacteristic
223C2×Dic59⋊C4C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×C4×Dic59C2311yescharacteristic
237C2×C4×Dic59C2311yescharacteristic
238C2×C4×Dic59C2311yescharacteristic
239C2×C4×Dic59C2311yescharacteristic
240C2×C4×Dic59C2311yescharacteristic
241C2×C4×Dic59C2311yescharacteristic
242C2×C4×Dic59C2311yescharacteristic
243C2×C4×Dic59C2311yescharacteristic
244C2×C4×Dic59C2311yescharacteristic
245C2×C4×Dic59C2311yescharacteristic
246C2×C4×Dic59C2311yescharacteristic
247C2×C4×Dic59C2311yescharacteristic
248C2×C4×Dic59C2311yescharacteristic
249C2×C4×Dic59C2311yescharacteristic
250C2×C4×Dic59C2311yescharacteristic
251C2×C4×Dic59C2311yescharacteristic
252C2×C4×Dic59C2311yescharacteristic
253C2×C4×Dic59C2311yescharacteristic
254C59⋊#95C2311yescharacteristic
255C59⋊#95C2311yescharacteristic
256C59⋊#95C2311yescharacteristic
257C59⋊#95C2311yescharacteristic
258C59⋊#95C2311yescharacteristic
259C59⋊#95C2311yescharacteristic
260C59⋊#95C2311yescharacteristic
261C59⋊#95C2311yescharacteristic
262C59⋊#95C2311yescharacteristic
263C59⋊#95C2311yescharacteristic
264C59⋊#95C2311yescharacteristic
265C59⋊#95C2311yescharacteristic
266C59⋊#95C2311yescharacteristic
267C59⋊#95C2311yescharacteristic
268C59⋊#95C2311yescharacteristic
269C59⋊#95C2311yescharacteristic
270C59⋊#95C2311yescharacteristic
271C59⋊#95C2311yescharacteristic
272C59⋊#95C2311yescharacteristic
273C59⋊#95C2311yescharacteristic
274C59⋊#95C2311yescharacteristic
275C59⋊#95C2311yescharacteristic
276C59⋊#95C2311yescharacteristic
277C59⋊#95C2311yescharacteristic
278C59⋊#95C2311yescharacteristic
279C59⋊#95C2311yescharacteristic
280C59⋊#95C2311yescharacteristic
281C59⋊#95C2311yescharacteristic
282C59⋊#95C2311yescharacteristic
283C59⋊#95C2311yescharacteristic
284C59⋊#95C2311yescharacteristic
285C59⋊#95C2311yescharacteristic
286C59⋊#95C2311yescharacteristic
287C59⋊#95C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C2×C4⋊C4×C59C2311yescharacteristic
311C2×C4⋊C4×C59C2311yescharacteristic
312C2×C4⋊C4×C59C2311yescharacteristic
313C2×C4⋊C4×C59C2311yescharacteristic
314C2×C4⋊C4×C59C2311yescharacteristic
315C2×C4⋊C4×C59C2311yescharacteristic
316C2×C4⋊C4×C59C2311yescharacteristic
317C2×C4⋊C4×C59C2311yescharacteristic
318C2×C4⋊C4×C59C2311yescharacteristic
319C2×C4⋊C4×C59C2311yescharacteristic
320C2×C4⋊C4×C59C2311yescharacteristic
321C2×C4⋊C4×C59C2311yescharacteristic
322C2×C4⋊C4×C59C2311yescharacteristic
323C2×C4⋊C4×C59C2311yescharacteristic
324C2×C42×C59C2311yescharacteristic
325#95×C59C2311yescharacteristic
326#95×C59C2311yescharacteristic
327#95×C59C2311yescharacteristic
328#95×C59C2311yescharacteristic
329#95×C59C2311yescharacteristic
330#95×C59C2311yescharacteristic
331#95×C59C2311yescharacteristic
332#95×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345C22×C4×C59C2411yescharacteristic
346C22×C4×C59C2411yescharacteristic
347C22×C4×C59C2411yescharacteristic
348C22×C4×C59C2411yescharacteristic
349C22×C4×C59C2411yescharacteristic
350C22×C4×C59C2411yescharacteristic
351C22×C4×C59C2411yescharacteristic
352C22×C4×C59C2411yescharacteristic
353C22×C4×C59C2411yescharacteristic
354C22×C4×C59C2411yescharacteristic
355C22×C4×C59C2411yescharacteristic
356C22×C4×C59C2411yescharacteristic
357C22×C4×C59C2411yescharacteristic
358C22×C4×C59C2411yescharacteristic
359C22×C4×C59C2411yescharacteristic
360C22×Dic59C2411yescharacteristic
361C22×Dic59C2411yescharacteristic
362C22×Dic59C2411yescharacteristic
363C22×Dic59C2411yescharacteristic
364C22×Dic59C2411yescharacteristic
365C22×Dic59C2411yescharacteristic
366C22×Dic59C2411yescharacteristic
367C22×Dic59C2411yescharacteristic
368C22×Dic59C2411yescharacteristic
369C22×Dic59C2411yescharacteristic
370C22×Dic59C2411yescharacteristic
371C22×Dic59C2411yescharacteristic
372C22×Dic59C2411yescharacteristic
373C22×Dic59C2411yescharacteristic
374C22×Dic59C2411yescharacteristic
375C22×Dic59C2411yescharacteristic
376C4⋊C4×C59—22no—
377C4⋊C4×C59—22no—
378C4⋊C4×C59—22no—
379C4⋊C4×C59—41no—
380C4⋊C4×C59—41no—
381C4⋊C4×C59—41no—
382C4⋊C4×C59—41no—
383C4⋊C4×C59—41no—
384C4⋊C4×C59—41no—
385C4⋊C4×C59—41no—
386C4⋊C4×C59—41no—
387C4⋊C4×C59—41no—
388C4⋊C4×C59—41no—
389C4⋊C4×C59—41no—
390C42×C59—41no—
391C4⋊Dic59—22no—
392C4⋊Dic59—22no—
393C4⋊Dic59—22no—
394C4⋊Dic59—22no—
395C4⋊Dic59—22no—
396C4⋊Dic59—41no—
397C4⋊Dic59—41no—
398C4⋊Dic59—41no—
399C4⋊Dic59—41no—
400C4⋊Dic59—41no—
401C4⋊Dic59—41no—
402C4⋊Dic59—41no—
403C4⋊Dic59—41no—
404C4⋊Dic59—41no—
405Dic59⋊C4—22no—
406Dic59⋊C4—22no—
407Dic59⋊C4—22no—
408Dic59⋊C4—22no—
409Dic59⋊C4—22no—
410Dic59⋊C4—22no—
411Dic59⋊C4—22no—
412Dic59⋊C4—22no—
413Dic59⋊C4—22no—
414Dic59⋊C4—22no—
415Dic59⋊C4—41no—
416Dic59⋊C4—41no—
417Dic59⋊C4—41no—
418Dic59⋊C4—41no—
419Dic59⋊C4—41no—
420Dic59⋊C4—41no—
421Dic59⋊C4—41no—
422Dic59⋊C4—41no—
423Dic59⋊C4—41no—
424Dic59⋊C4—41no—
425Dic59⋊C4—41no—
426Dic59⋊C4—41no—
427Dic59⋊C4—41no—
428Dic59⋊C4—41no—
429Dic59⋊C4—41no—
430Dic59⋊C4—41no—
431Dic59⋊C4—41no—
432Dic59⋊C4—41no—
433Dic59⋊C4—41no—
434Dic59⋊C4—41no—
435Dic59⋊C4—41no—
436Dic59⋊C4—41no—
437C4×Dic59—22no—
438C4×Dic59—22no—
439C4×Dic59—22no—
440C4×Dic59—22no—
441C4×Dic59—22no—
442C4×Dic59—22no—
443C4×Dic59—22no—
444C4×Dic59—22no—
445C4×Dic59—22no—
446C4×Dic59—22no—
447C4×Dic59—22no—
448C4×Dic59—22no—
449C4×Dic59—22no—
450C4×Dic59—22no—
451C4×Dic59—22no—
452C4×Dic59—41no—
453C4×Dic59—41no—
454C4×Dic59#4114yes—
455C23×C59C2511yescharacteristic
456C2×C4×C59—21no—
457C2×C4×C59—21no—
458C2×C4×C59—21no—
459C2×C4×C59—21no—
460C2×C4×C59—21no—
461C2×C4×C59—21no—
462C2×C4×C59—21no—
463C2×C4×C59—21no—
464C2×C4×C59—21no—
465C2×C4×C59—21no—
466C2×C4×C59—21no—
467C2×C4×C59—21no—
468C2×C4×C59—21no—
469C2×C4×C59—21no—
470C2×C4×C59—21no—
471C2×C4×C59—21no—
472C2×C4×C59—21no—
473C2×C4×C59—21no—
474C2×C4×C59—21no—
475C2×C4×C59—21no—
476C2×C4×C59—21no—
477C2×C4×C59—21no—
478C2×C4×C59—21no—
479C2×C4×C59—21no—
480C2×C4×C59—21no—
481C2×C4×C59—21no—
482C2×C4×C59—21no—
483C2×C4×C59—21no—
484C2×C4×C59—21no—
485C2×C4×C59—21no—
486C2×C4×C59—21no—
487C2×C4×C59—21no—
488C2×C4×C59—21no—
489C2×C4×C59—21no—
490C2×C4×C59—21no—
491C2×C4×C59—21no—
492C2×C4×C59—21no—
493C2×C4×C59—21no—
494C2×C4×C59—21no—
495C2×C4×C59—21no—
496C2×C4×C59—21no—
497C2×C4×C59—21no—
498C2×C4×C59—21no—
499C2×C4×C59—21no—
500C2×C4×C59C2×#4112yes—
501C2×Dic59—21no—
502C2×Dic59—21no—
503C2×Dic59—21no—
504C2×Dic59—21no—
505C2×Dic59—21no—
506C2×Dic59—21no—
507C2×Dic59—21no—
508C2×Dic59—21no—
509C2×Dic59—21no—
510C2×Dic59—21no—
511C2×Dic59—21no—
512C2×Dic59—21no—
513C2×Dic59—21no—
514C2×Dic59—21no—
515C2×Dic59—21no—
516C2×Dic59—21no—
517C2×Dic59—21no—
518C2×Dic59—21no—
519C2×Dic59—21no—
520C2×Dic59—21no—
521C2×Dic59—21no—
522C2×Dic59—21no—
523C2×Dic59—21no—
524C2×Dic59—21no—
525C2×Dic59—21no—
526C2×Dic59—21no—
527C2×Dic59—21no—
528C2×Dic59—21no—
529C2×Dic59—21no—
530C2×Dic59—21no—
531C2×Dic59—21no—
532C2×Dic59—21no—
533C2×Dic59—21no—
534C2×Dic59—21no—
535C2×Dic59—21no—
536C2×Dic59—21no—
537C2×Dic59—21no—
538C2×Dic59—21no—
539C2×Dic59—21no—
540C2×Dic59—21no—
541C2×Dic59—21no—
542C2×Dic59—21no—
543C2×Dic59—21no—
544C2×Dic59C2×#4112yes—
545C2×Dic59C2×#4112yes—
546C2×Dic592−1+412yes—
547C2×Dic592−1+412yes—
548C2×Dic592−1+412yes—
549#36701—591nomaximal, Sylow
550C22×C59C22×#4111yescharacteristic
551C22×C59C2×2−1+411yescharacteristic
552C22×C59C2×2−1+411yescharacteristic
553C22×C59C2×2−1+411yescharacteristic
554C22×C59#58511yescharacteristic
555C22×C59#58511yescharacteristic
556C22×C59#58511yescharacteristic
557C4×C59—22no—
558C4×C59—41no—
559C4×C59—41no—
560C4×C59—41no—
561C4×C59—41no—
562C4×C59—41no—
563C4×C59—41no—
564C4×C59—41no—
565C4×C59—41no—
566C4×C59—41no—
567C4×C59—41no—
568C4×C59—41no—
569C4×C59—41no—
570C4×C59—41no—
571C4×C59—41no—
572Dic59—22no—
573Dic59—22no—
574Dic59—41no—
575Dic59—41no—
576Dic59—41no—
577Dic59—41no—
578Dic59—41no—
579Dic59—41no—
580Dic59—41no—
581Dic59—41no—
582Dic59—41no—
583Dic59—41no—
584Dic59—41no—
585Dic59—41no—
586Dic59—41no—
587Dic59#56414yes—
588#2845—591no—
589#2839—591no—
590#2839—591no—
591#2839—591no—
592#2839—591no—
593#2839—591no—
594#2839—591no—
595#2839—591no—
596#2839—591no—
597#2839—591no—
598#2839—591no—
599#2839—591no—
600#2839D5911yescharacteristic
601#2822—591no—
602#2822—591no—
603#2822—591no—
604#2402—591no—
605#2402—591no—
606#2402—591no—
607#2402—591no—
608#2402—591no—
609#2402—591no—
610#2402—591no—
611#2402—591no—
612#2402—591no—
613#2402—591no—
614#2402—591no—
615#2402—591no—
616C4×#125—591no—
617C4×#125—591no—
618C4×#125—591no—
619C2×C59#346111yescharacteristic
620C2×C59#346111yescharacteristic
621C2×C59#346111yescharacteristic
622C2×C59C2×#56411yescharacteristic
623C2×C59#353111yescharacteristic
624C2×C59#353111yescharacteristic
625C2×C59#353111yescharacteristic
626C2×#125—591no—
627C2×#125—591no—
628C2×#125—591no—
629#400—591no—
630#400—591no—
631#400—591no—
632#400—591no—
633#400—591no—
634#400—591no—
635#400—591no—
636#400—591no—
637#400—591no—
638#400—591no—
639#400—591no—
640#400—591no—
641#400—591no—
642#400—591no—
643#400—591no—
644#400—591no—
645#400—591no—
646#400—591no—
647#400—591no—
648#400—591no—
649#400—591no—
650#400—591no—
651#400—591no—
652#400—591no—
653#400—591no—
654#400—591no—
655#400—591no—
656#400—591no—
657#400—591no—
658#400—591no—
659#400—591no—
660#400—591no—
661#400—591no—
662#400—591no—
663#400—591no—
664#400—591no—
665#400—591no—
666#400—591no—
667#400—591no—
668#400—591no—
669#400—591no—
670#400C2×D5911yescharacteristic
671#400C2×D5911yescharacteristic
672#400C2×D5911yescharacteristic
673#400C2×D5911yescharacteristic
674#400C2×D5911yescharacteristic
675#400C2×D5911yescharacteristic
676#400C2×D5911yescharacteristic
677#398—591no—
678#398—591no—
679#398—591no—
680#398—591no—
681#398—591no—
682#398—591no—
683#398—591no—
684#398—591no—
685#398—591no—
686#398—591no—
687#398—591no—
688#398—591no—
689#398—591no—
690#398—591no—
691#398—591no—
692#398—591no—
693#398—591no—
694#398—591no—
695#398—591no—
696#398—591no—
697#398—591no—
698#398—591no—
699#398—591no—
700#398—591no—
701#398—591no—
702#398—591no—
703#398—591no—
704#398—591no—
705#398—591no—
706#398—591no—
707#398—591no—
708#398—591no—
709#398—591no—
710#398—591no—
711#398—591no—
712#398—591no—
713#398—591no—
714#398—591no—
715#398—591no—
716#398—591no—
717#398—591no—
718#398—591no—
719#398—591no—
720#398C2×D5911yescharacteristic
721#398C2×D5911yescharacteristic
722#398C2×D5911yescharacteristic
723#398C2×D5911yescharacteristic
724#398C2×D5911yescharacteristic
725#389—591no—
726#389—591no—
727#389—591no—
728#389—591no—
729#389—591no—
730#389C2×D5911yescharacteristic
731#387—591no—
732#387—591no—
733#387—591no—
734#387—591no—
735#387—591no—
736#387—591no—
737#387—591no—
738#387—591no—
739#387—591no—
740#387—591no—
741#387C2×D5911yescharacteristic
742#387C2×D5911yescharacteristic
743#382—591no—
744#382—591no—
745#382—591no—
746C4×C4⋊C4—591no—
747C4×C4⋊C4—591no—
748C4×C4⋊C4—591no—
749C4×C4⋊C4—591no—
750C4×C4⋊C4—591no—
751C4×C4⋊C4—591no—
752C4×C4⋊C4—591no—
753C4×C4⋊C4—591no—
754C4×C4⋊C4—591no—
755C4×C4⋊C4—591no—
756C4×C4⋊C4—591no—
757C4×C4⋊C4—591no—
758C4×C4⋊C4—591no—
759C4×C4⋊C4—591no—
760C4×C4⋊C4—591no—
761C4×C4⋊C4—591no—
762C4×C4⋊C4—591no—
763C4×C4⋊C4—591no—
764C4×C4⋊C4—591no—
765C4×C4⋊C4—591no—
766C4×C4⋊C4—591no—
767C4×C4⋊C4—591no—
768C4×C4⋊C4—591no—
769C4×C4⋊C4—591no—
770C4×C4⋊C4—591no—
771C4×C4⋊C4—591no—
772C4×C4⋊C4—591no—
773C4×C4⋊C4—591no—
774C4×C4⋊C4—591no—
775C4×C4⋊C4—591no—
776#376—591no—
777#376—591no—
778#376—591no—
779#376—591no—
780C43—591no—
781C59#3670111yescharacteristic, complemented, Sylow
782#125—1184no—
783#125—1184no—
784#125—1184no—
785C2×C4⋊C4—591no—
786C2×C4⋊C4—591no—
787C2×C4⋊C4—591no—
788C2×C4⋊C4—591no—
789C2×C4⋊C4—591no—
790C2×C4⋊C4—591no—
791C2×C4⋊C4—591no—
792C2×C4⋊C4—591no—
793C2×C4⋊C4—591no—
794C2×C4⋊C4—591no—
795C2×C4⋊C4—591no—
796C2×C4⋊C4—591no—
797C2×C4⋊C4—591no—
798C2×C4⋊C4—591no—
799C2×C4⋊C4—591no—
800C2×C4⋊C4—591no—
801C2×C4⋊C4—591no—
802C2×C4⋊C4—591no—
803C2×C4⋊C4—591no—
804C2×C4⋊C4—591no—
805C2×C4⋊C4—591no—
806C2×C4⋊C4—591no—
807C2×C4⋊C4—591no—
808C2×C4⋊C4—591no—
809C2×C4⋊C4—591no—
810C2×C4⋊C4—591no—
811C2×C4⋊C4—591no—
812C2×C4⋊C4—591no—
813C2×C4⋊C4—591no—
814C2×C4⋊C4—591no—
815C2×C4⋊C4—591no—
816C2×C4⋊C4—591no—
817C2×C4⋊C4—591no—
818C2×C4⋊C4—591no—
819C2×C4⋊C4—591no—
820C2×C4⋊C4—591no—
821C2×C4⋊C4—591no—
822C2×C4⋊C4—591no—
823C2×C4⋊C4—591no—
824C2×C4⋊C4—591no—
825C2×C4⋊C4—591no—
826C2×C4⋊C4—591no—
827C2×C4⋊C4—591no—
828C2×C4⋊C4—591no—
829C2×C4⋊C4—591no—
830C2×C4⋊C4—591no—
831C2×C4⋊C4C22×D5911yescharacteristic
832C2×C4⋊C4C22×D5911yescharacteristic
833C2×C4⋊C4C22×D5911yescharacteristic
834C2×C4⋊C4C22×D5911yescharacteristic
835C2×C4⋊C4C22×D5911yescharacteristic
836C2×C4⋊C4C22×D5911yescharacteristic
837C2×C4⋊C4C22×D5911yescharacteristic
838C2×C4⋊C4C22×D5911yescharacteristic
839C2×C4⋊C4C22×D5911yescharacteristic
840C2×C4⋊C4C22×D5911yescharacteristic
841C2×C4⋊C4C22×D5911yescharacteristic
842C2×C4⋊C4C22×D5911yescharacteristic
843C2×C4⋊C4C22×D5911yescharacteristic
844C2×C4⋊C4C22×D5911yescharacteristic
845C2×C42—591no—
846C2×C42—591no—
847C2×C42—591no—
848C2×C42—591no—
849C2×C42—591no—
850C2×C42—591no—
851C2×C42—591no—
852C2×C42—591no—
853C2×C42—591no—
854C2×C42—591no—
855C2×C42—591no—
856C2×C42—591no—
857C2×C42—591no—
858C2×C42—591no—
859C2×C42—591no—
860C2×C42—591no—
861C2×C42—591no—
862C2×C42—591no—
863C2×C42C22×D5911yescharacteristic
864#95—591no—
865#95—591no—
866#95—591no—
867#95—591no—
868#95—591no—
869#95—591no—
870#95—591no—
871#95—591no—
872#95—591no—
873#95—591no—
874#95—591no—
875#95—591no—
876#95—591no—
877#95—591no—
878#95—591no—
879#95—591no—
880#95—591no—
881#95—591no—
882#95—591no—
883#95—591no—
884#95—591no—
885#95—591no—
886#95—591no—
887#95—591no—
888#95—591no—
889#95—591no—
890#95—591no—
891#95—591no—
892#95—591no—
893#95—591no—
894#95—591no—
895#95—591no—
896#95—591no—
897#95—591no—
898#95—591no—
899#95—591no—
900#95—591no—
901#95—591no—
902#95—591no—
903#95—591no—
904#95—591no—
905#95—591no—
906#95—591no—
907#95—591no—
908#95—591no—
909#95—591no—
910#95—591no—
911#95—591no—
912#95—591no—
913#95—591no—
914#95—591no—
915#95—591no—
916#95—591no—
917#95—591no—
918#95—591no—
919#95—591no—
920#95C22×D5911yescharacteristic
921#95C22×D5911yescharacteristic
922#95C22×D5911yescharacteristic
923#95C22×D5911yescharacteristic
924#95C22×D5911yescharacteristic
925#95C22×D5911yescharacteristic
926#95C22×D5911yescharacteristic
927#95C22×D5911yescharacteristic
928#95C22×D5911yescharacteristic
929#95C22×D5911yescharacteristic
930#95C22×D5911yescharacteristic
931#95C22×D5911yescharacteristic
932#95C22×D5911yescharacteristic
933#95C22×D5911yescharacteristic
934#95C22×D5911yescharacteristic
935#95C22×D5911yescharacteristic
936#95C22×D5911yescharacteristic
937#95C22×D5911yescharacteristic
938#95C22×D5911yescharacteristic
939#95C22×D5911yescharacteristic
940C22×C4—591no—
941C22×C4—591no—
942C22×C4—591no—
943C22×C4—591no—
944C22×C4—591no—
945C22×C4—591no—
946C22×C4—591no—
947C22×C4—591no—
948C22×C4—591no—
949C22×C4—591no—
950C22×C4—591no—
951C22×C4—591no—
952C22×C4—591no—
953C22×C4—591no—
954C22×C4—591no—
955C22×C4—591no—
956C22×C4C23×D5911yescharacteristic
957C22×C4C23×D5911yescharacteristic
958C22×C4C23×D5911yescharacteristic
959C22×C4C23×D5911yescharacteristic
960C22×C4C23×D5911yescharacteristic
961C22×C4C23×D5911yescharacteristic
962C22×C4C23×D5911yescharacteristic
963C22×C4C23×D5911yescharacteristic
964C22×C4C23×D5911yescharacteristic
965C22×C4C23×D5911yescharacteristic
966C22×C4C23×D5911yescharacteristic
967C22×C4C23×D5911yescharacteristic
968C22×C4C23×D5911yescharacteristic
969C22×C4C23×D5911yescharacteristic
970C22×C4C23×D5911yescharacteristic
971C4⋊C4—22no—
972C4⋊C4—22no—
973C4⋊C4—22no—
974C4⋊C4—41no—
975C4⋊C4—41no—
976C4⋊C4—41no—
977C4⋊C4—41no—
978C4⋊C4—41no—
979C4⋊C4—41no—
980C4⋊C4—41no—
981C4⋊C4—41no—
982C4⋊C4—41no—
983C4⋊C4—41no—
984C4⋊C4—41no—
985C4⋊C4—1182no—
986C4⋊C4—1182no—
987C4⋊C4—1182no—
988C4⋊C4—1182no—
989C4⋊C4—1182no—
990C4⋊C4—1182no—
991C4⋊C4—1182no—
992C4⋊C4—1182no—
993C4⋊C4—1182no—
994C4⋊C4—1182no—
995C4⋊C4—1182no—
996C4⋊C4—1182no—
997C4⋊C4—1182no—
998C4⋊C4—1182no—
999C4⋊C4—1182no—
1000C4⋊C4—2361no—
1001C4⋊C4—2361no—
1002C4⋊C4—2361no—
1003C4⋊C4—2361no—
1004C4⋊C4—2361no—
1005C4⋊C4—2361no—
1006C4⋊C4—2361no—
1007C4⋊C4—2361no—
1008C4⋊C4—2361no—
1009C4⋊C4—2361no—
1010C4⋊C4—2361no—
1011C4⋊C4—2361no—
1012C4⋊C4—2361no—
1013C4⋊C4—2361no—
1014C4⋊C4—2361no—
1015C4⋊C4—2361no—
1016C4⋊C4—2361no—
1017C4⋊C4—2361no—
1018C4⋊C4—2361no—
1019C4⋊C4—2361no—
1020C4⋊C4—2361no—
1021C4⋊C4—2361no—
1022C4⋊C4—2361no—
1023C4⋊C4—2361no—
1024C4⋊C4—2361no—
1025C4⋊C4—2361no—
1026C4⋊C4—2361no—
1027C4⋊C4—2361no—
1028C4⋊C4—2361no—
1029C4⋊C4—2361no—
1030C4⋊C4—2361no—
1031C42—41no—
1032C42—594no—
1033C42—1182no—
1034C42—1182no—
1035C42—1182no—
1036C42—1182no—
1037C42—1182no—
1038C42—1182no—
1039C42—1182no—
1040C42—1182no—
1041C42—1182no—
1042C42—1182no—
1043C42—1182no—
1044C42—1182no—
1045C42—1182no—
1046C42—1182no—
1047C42—1182no—
1048C42—2361no—
1049C42—2361no—
1050C23C24×D5911yescharacteristic
1051C2×C4—21no—
1052C2×C4—21no—
1053C2×C4—21no—
1054C2×C4—21no—
1055C2×C4—21no—
1056C2×C4—21no—
1057C2×C4—21no—
1058C2×C4—21no—
1059C2×C4—21no—
1060C2×C4—21no—
1061C2×C4—21no—
1062C2×C4—21no—
1063C2×C4—21no—
1064C2×C4—21no—
1065C2×C4—21no—
1066C2×C4—21no—
1067C2×C4—21no—
1068C2×C4—21no—
1069C2×C4—21no—
1070C2×C4—21no—
1071C2×C4—21no—
1072C2×C4—21no—
1073C2×C4—21no—
1074C2×C4—21no—
1075C2×C4—21no—
1076C2×C4—21no—
1077C2×C4—21no—
1078C2×C4—21no—
1079C2×C4—21no—
1080C2×C4—21no—
1081C2×C4—21no—
1082C2×C4—21no—
1083C2×C4—21no—
1084C2×C4—21no—
1085C2×C4—21no—
1086C2×C4—21no—
1087C2×C4—21no—
1088C2×C4—21no—
1089C2×C4—21no—
1090C2×C4—21no—
1091C2×C4—21no—
1092C2×C4—21no—
1093C2×C4—21no—
1094C2×C4—21no—
1095C2×C4—592no—
1096C2×C4—592no—
1097C2×C4—592no—
1098C2×C4—592no—
1099C2×C4—592no—
1100C2×C4—1181no—
1101C2×C4—1181no—
1102C2×C4—1181no—
1103C2×C4—1181no—
1104C2×C4—1181no—
1105C2×C4—1181no—
1106C2×C4—1181no—
1107C2×C4—1181no—
1108C2×C4—1181no—
1109C2×C4—1181no—
1110C2×C4—1181no—
1111C2×C4—1181no—
1112C2×C4—1181no—
1113C2×C4—1181no—
1114C2×C4—1181no—
1115C2×C4—1181no—
1116C2×C4—1181no—
1117C2×C4—1181no—
1118C2×C4—1181no—
1119C2×C4—1181no—
1120C2×C4—1181no—
1121C2×C4—1181no—
1122C2×C4—1181no—
1123C2×C4—1181no—
1124C2×C4—1181no—
1125C2×C4—1181no—
1126C2×C4—1181no—
1127C2×C4—1181no—
1128C2×C4—1181no—
1129C2×C4—1181no—
1130C2×C4—1181no—
1131C2×C4—1181no—
1132C2×C4—1181no—
1133C2×C4—1181no—
1134C2×C4—1181no—
1135C2×C4—1181no—
1136C2×C4—1181no—
1137C2×C4—1181no—
1138C2×C4—1181no—
1139C2×C4—1181no—
1140C2×C4—1181no—
1141C2×C4—1181no—
1142C2×C4—1181no—
1143C2×C4#41×D5912yes—
1144C22C2×#41×D5911yescharacteristic
1145C222−1+4×D5911yescharacteristic
1146C222−1+4×D5911yescharacteristic
1147C222−1+4×D5911yescharacteristic
1148C22#1683823711yescharacteristic
1149C22#1683823711yescharacteristic
1150C22#1683823911yescharacteristic
1151C4—22no—
1152C4—41no—
1153C4—41no—
1154C4—41no—
1155C4—41no—
1156C4—41no—
1157C4—41no—
1158C4—41no—
1159C4—41no—
1160C4—41no—
1161C4—41no—
1162C4—41no—
1163C4—41no—
1164C4—41no—
1165C4—41no—
1166C4—594no—
1167C4—1182no—
1168C4—1182no—
1169C4—2361no—
1170C4—2361no—
1171C4—2361no—
1172C4—2361no—
1173C4—2361no—
1174C4—2361no—
1175C4—2361no—
1176C4—2361no—
1177C4—2361no—
1178C4—2361no—
1179C4—2361no—
1180C4—2361no—
1181C4—2361no—
1182C2#2143752211yescharacteristic
1183C2#2143752611yescharacteristic
1184C2#2143752811yescharacteristic
1185C2#564×D5911yescharacteristic
1186C2#2143824011yescharacteristic
1187C2#2143824211yescharacteristic
1188C2#2143824211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, prime radical, cosocleC23×C59C25
FittingC59×#2839C2
hypercenter#2839D59
hypocenterC59#36701
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2839

Complements

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

NH ≅ G/Ntype
781. C59#36701semidirect

Maximal subgroups

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

subgroupindex
#214323702
#214323472
#214323452
#214323432
#214323412
#214323392
#214323382
#214323372
#214323362
#214323352
#214323342
#214323332
#214321662
#214321652
#214321622
#214274022
#214274002
#214266552
#214266532
C59×#28392
#3670159