Finite Group Databasebeta

← #28754049

Subgroups — #28754049

Order 15104.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838039C211yesmaximal, characteristic
2#21427263C211yesmaximal, characteristic, complemented
3#21427247C211yesmaximal, characteristic, complemented
4#21427238C211yesmaximal, characteristic, complemented
5#21427234C211yesmaximal, characteristic, complemented
6#21427203C211yesmaximal, characteristic, complemented
7#21427141C211yesmaximal, characteristic, complemented
8#21427139C211yesmaximal, characteristic, complemented
9#21427090C211yesmaximal, characteristic, complemented
10#21427080C211yesmaximal, characteristic, complemented
11#21427034C211yesmaximal, characteristic, complemented
12#21427030C211yesmaximal, characteristic, complemented
13#21426947C211yesmaximal, characteristic, complemented
14#21426944C211yesmaximal, characteristic, complemented
15#21426921C211yesmaximal, characteristic, complemented
16#21426912C211yesmaximal, characteristic, complemented
17#21426903C211yesmaximal, characteristic, complemented
18#21426884C211yesmaximal, characteristic, complemented
19#21426857C211yesmaximal, characteristic, complemented
20#21426853C211yesmaximal, characteristic, complemented
21#21426797C211yesmaximal, characteristic, complemented
22#21426764C211yesmaximal, characteristic, complemented
23#21426755C211yesmaximal, characteristic, complemented
24#21426733C211yesmaximal, characteristic, complemented
25#21426690C211yesmaximal, characteristic, complemented
26#21426683C211yesmaximal, characteristic, complemented
27#21426671C211yesmaximal, characteristic, complemented
28#21426606C211yesmaximal, characteristic, complemented
29#21426532C211yesmaximal, characteristic, complemented
30C2×#16837296C211yesmaximal, characteristic, complemented
31C59×#2321C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C22⋊D59C2211yescharacteristic
34#16838039C4116yescomplemented
35C2×#14273713C2211yescharacteristic
36C2×#14273711C2211yescharacteristic
37C2×#14273709C2211yescharacteristic
38C2×#14273704C2211yescharacteristic
39C2×#14273699C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273698C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×D4×Dic59C2211yescharacteristic
44C2×D4×Dic59C2211yescharacteristic, complemented
45C2×D4×Dic59C2211yescharacteristic, complemented
46C2×(C22⋊D59)⋊C4C2211yescharacteristic
47C2×(C22⋊D59)⋊C4C2211yescharacteristic
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
50C2×#14273685C2211yescharacteristic, complemented
51C2×#14273683C2211yescharacteristic, complemented
52C22×Dic59⋊C4C2211yescharacteristic, complemented
53C22×C22⋊Dic59C2211yescharacteristic
54C22×C22⋊Dic59C2211yescharacteristic
55C22×C22⋊Dic59C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58C22×C4×Dic59C2211yescharacteristic, complemented
59#16837308C2211yescharacteristic, complemented
60#16837307C2211yescharacteristic, complemented
61#16837306C2211yescharacteristic, complemented
62#16837306C2211yescharacteristic, complemented
63#16837305C2211yescharacteristic
64#16837302C2211yescharacteristic
65#16837302C2211yescharacteristic
66#16837302C2211yescharacteristic, complemented
67#16837302C2211yescharacteristic, complemented
68#16837302C2211yescharacteristic, complemented
69#16837300C2211yescharacteristic, complemented
70#16837299C2211yescharacteristic, complemented
71#16837298C2211yescharacteristic, complemented
72#16837298C2211yescharacteristic, complemented
73#16837296C2211yescharacteristic
74#16837296C2211yescharacteristic
75#16837296C2211yescharacteristic
76#16837296C2211yescharacteristic
77#16837296C2211yescharacteristic
78#16837296C2211yescharacteristic
79#16837296C2211yescharacteristic, complemented
80#16837296C2211yescharacteristic, complemented
81#16837296C2211yescharacteristic, complemented
82#16837296C2211yescharacteristic, complemented
83#16837296C2211yescharacteristic, complemented
84#16837295C2211yescharacteristic
85#16837295C2211yescharacteristic
86#16837294C2211yescharacteristic, complemented
87#16837294C2211yescharacteristic, complemented
88#16837294C2211yescharacteristic, complemented
89#16837293C2211yescharacteristic, complemented
90#16837293C2211yescharacteristic, complemented
91#16837292C2211yescharacteristic, complemented
92#16837292C2211yescharacteristic, complemented
93#16837291C2211yescharacteristic, complemented
94#16837291C2211yescharacteristic, complemented
95#16837291C2211yescharacteristic, complemented
96#16837290C2211yescharacteristic
97#16837290C2211yescharacteristic
98#16837290C2211yescharacteristic, complemented
99#16837289C2211yescharacteristic, complemented
100#16837287C2211yescharacteristic, complemented
101#16837287C2211yescharacteristic, complemented
102#16837286C2211yescharacteristic, complemented
103#16837286C2211yescharacteristic, complemented
104#16837285C2211yescharacteristic, complemented
105#16837285C2211yescharacteristic, complemented
106#16837284C2211yescharacteristic, complemented
107#16837283C2211yescharacteristic, complemented
108#16837283C2211yescharacteristic, complemented
109#16837282C2211yescharacteristic
110#16837282C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic, complemented
112#16837281C2211yescharacteristic
113#16837281C2211yescharacteristic
114#16837281C2211yescharacteristic
115#16837281C2211yescharacteristic
116#16837281C2211yescharacteristic, complemented
117#16837281C2211yescharacteristic, complemented
118#16837279C2211yescharacteristic
119#16837279C2211yescharacteristic
120#16837279C2211yescharacteristic
121#16837279C2211yescharacteristic
122#16837279C2211yescharacteristic
123#16837279C2211yescharacteristic
124#16837279C2211yescharacteristic, complemented
125#16837278C2211yescharacteristic
126#16837278C2211yescharacteristic
127#16837278C2211yescharacteristic, complemented
128#16837277C2211yescharacteristic, complemented
129#16837277C2211yescharacteristic, complemented
130#16837276C2211yescharacteristic, complemented
131#16837274C2211yescharacteristic, complemented
132#16837274C2211yescharacteristic, complemented
133#16837273C2211yescharacteristic, complemented
134#16837273C2211yescharacteristic, complemented
135#16837269C2211yescharacteristic, complemented
136#16837264C2211yescharacteristic, complemented
137#16837263C2211yescharacteristic
138#16837263C2211yescharacteristic
139#16837263C2211yescharacteristic, complemented
140#16837263C2211yescharacteristic, complemented
141#16837261C2211yescharacteristic, complemented
142#16837261C2211yescharacteristic, complemented
143#16837260C2211yescharacteristic
144#16837260C2211yescharacteristic, complemented
145#16837260C2211yescharacteristic, complemented
146#16837260C2211yescharacteristic, complemented
147#16837259C2211yescharacteristic, complemented
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4×C4⋊Dic59C2211yescharacteristic, complemented
153#16837253C2211yescharacteristic, complemented
154C22⋊C4×Dic59C2211yescharacteristic
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic59C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837248C2211yescharacteristic, complemented
169#16837247C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C2×#120×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic, complemented
175C22×C22⋊C4×C59C2211yescharacteristic
176C59×#390C2211yescharacteristic
177C59×#390C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#379C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C2×#11745687—42no—
190C2×#11745687—42no—
191C2×#11745687C2×C418yescomplemented
192C22×Dic118C2311yescharacteristic
193C22×C22⋊D59—42no—
194C22×C22⋊D59—42no—
195C22×C22⋊D59C2×C418yescomplemented
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215#14273713C2×C418yescomplemented
216#14273711C2×C418yescomplemented
217#14273709C2×C418yescomplemented
218#14273704C2×C418yescomplemented
219#14273699C2×C418yescomplemented
220#14273699C2×C418yescomplemented
221#14273698C2×C418yescomplemented
222#14273695C2×C418yescomplemented
223D4×Dic59—42no—
224D4×Dic59—42no—
225D4×Dic59C2×C418yescomplemented
226(C22⋊D59)⋊C4—42no—
227(C22⋊D59)⋊C4—42no—
228(C22⋊D59)⋊C4—42no—
229(C22⋊D59)⋊C4C2×C418yescomplemented
230#14273685—42no—
231#14273683—42no—
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×Dic59⋊C4—42no—
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×C22⋊Dic59—42no—
251C2×C22⋊Dic59—42no—
252C2×C22⋊Dic59C2×C418yescomplemented
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C22⋊C4×D59—42no—
288C22⋊C4×D59C2×C418yescomplemented
289C2×C4×Dic59—42no—
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C25×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345#120×C59C2×C418yescomplemented
346C4×D4×C59—42no—
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59—42no—
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C42×C59C2311yescharacteristic
368C2×C42×C59C2311yescharacteristic
369C2×C42×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376C24×C59—22no—
377C24×C59—22no—
378C24×C59—41no—
379C24×C59—41no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59C22×C414yes—
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—41no—
388C23×D59—41no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59C22×C414yes—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59C22×C414yes—
403C2×D4×C59C22×C414yes—
404C2×D4×C59C22×C414yes—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—416no—
438C2×C22⋊D59C22×C414yes—
439C2×C22⋊D59C22×C414yes—
440C2×C22⋊D59C22×C414yes—
441C2×C22⋊D59C22×C414yes—
442C2×C22⋊D59C22×C414yes—
443C2×C22⋊D59C22×C414yes—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—41no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59—41no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59C22×C414yes—
468C22×Dic59C22×C414yes—
469C22×Dic59C22×C414yes—
470C22×Dic59C22×C414yes—
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485#11745687—416no—
486C2×C4×D59—22no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59C22×C414yes—
497C2×C4×D59C22×C414yes—
498C2×Dic118—41no—
499C2×Dic118—41no—
500C2×Dic118C22×C414yes—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C4⋊C4×C59—41no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59C22×C414yes—
518C22⋊C4×C59C22×C414yes—
519C22⋊C4×C59C22×C414yes—
520C42×C59—41no—
521C42×C59—41no—
522C42×C59—41no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59C22×C414yes—
535C22⋊Dic59C22×C414yes—
536C22⋊Dic59C22×C414yes—
537C22⋊Dic59C22×C414yes—
538C22⋊Dic59C22×C414yes—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4C22×C414yes—
554(C2×D59)⋊C4C22×C414yes—
555(C2×D59)⋊C4C22×C414yes—
556(C2×D59)⋊C4C22×C414yes—
557C4⋊Dic59—22no—
558C4⋊Dic59—41no—
559C4⋊Dic59—41no—
560C4⋊Dic59C22×C414yes—
561C4⋊Dic59C22×C414yes—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4C22×C414yes—
573Dic59⋊C4C22×C414yes—
574C4×Dic59—22no—
575C4×Dic59—22no—
576C4×Dic59—41no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C4×Dic59—41no—
584C4×Dic59—41no—
585C4×Dic59—41no—
586C4×Dic59—41no—
587C4×Dic59C22×C414yes—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—28no—
611C23×C59—44no—
612C23×C59—44no—
613C23×C59—82no—
614C23×C59—82no—
615C23×C59—82no—
616C23×C59—82no—
617C23×C59C23×C412yes—
618C23×C59C23×C412yes—
619C23×C59C23×C412yes—
620C23×C59C23×C412yes—
621C23×C59H(5,𝔽2)12yes—
622C23×C59H(5,𝔽2)12yes—
623C23×C59C2511yescharacteristic
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—44no—
637C22×D59—44no—
638C22×D59—44no—
639C22×D59—82no—
640C22×D59—82no—
641C22×D59—82no—
642C22×D59—82no—
643C22×D59C23×C412yes—
644C22×D59C23×C412yes—
645D4×C59—28no—
646D4×C59—44no—
647D4×C59—44no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—44no—
679C2×C4×C59—82no—
680C2×C4×C59—82no—
681C2×C4×C59C23×C412yes—
682C2×C4×C59C23×C412yes—
683C2×C4×C59C23×C412yes—
684C22⋊D59—28no—
685C22⋊D59—28no—
686C22⋊D59—44no—
687C22⋊D59—44no—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C2×Dic59—28no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—44no—
727C2×Dic59—44no—
728C2×Dic59—44no—
729C2×Dic59—44no—
730C2×Dic59—82no—
731C2×Dic59—82no—
732C2×Dic59—82no—
733C2×Dic59—82no—
734C2×Dic59C23×C412yes—
735C2×Dic59C23×C412yes—
736C2×Dic59C23×C412yes—
737C2×Dic59C23×C412yes—
738C2×Dic59C23×C412yes—
739C2×Dic59C23×C412yes—
740C2×Dic59H(5,𝔽2)12yes—
741C4×D59—44no—
742C4×D59—44no—
743C4×D59—82no—
744C4×D59—82no—
745Dic118—44no—
746#34492—591nomaximal, Sylow
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—22no—
756C22×C59—22no—
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—22no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—88no—
775C22×C59#51814yes—
776C22×C59C24×C411yescharacteristic
777C22×C59C2×H(5,𝔽2)11yescharacteristic
778C22×C59C2×H(5,𝔽2)11yescharacteristic
779C22×C59C2×H(5,𝔽2)11yescharacteristic
780C22×C59#58511yescharacteristic
781C22×C59#58511yescharacteristic
782C22×C59#58511yescharacteristic
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—22no—
788C2×D59—22no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—88no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—22no—
815Dic59—22no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823C2×#546—591no—
824#2378—591no—
825#2377—591no—
826#2376—591no—
827#2375—591no—
828#2372—591no—
829#2364—591no—
830#2363—591no—
831#2359—591no—
832#2358—591no—
833#2353—591no—
834#2353—591no—
835#2342—591no—
836#2342—591no—
837#2339—591no—
838D4×C22⋊C4—591no—
839#2337—591no—
840#2335—591no—
841#2333—591no—
842#2332—591no—
843#2325—591no—
844#2322—591no—
845#2321—591no—
846#2321D5911yescharacteristic, complemented
847#2319—591no—
848#2312—591no—
849#2311—591no—
850#2308—591no—
851C4×#121—591no—
852#2290—591no—
853C2×#388—591no—
854C2×C59—24no—
855C2×C59—42no—
856C2×C59—42no—
857C2×C59—42no—
858C2×C59C2×#51811yescharacteristic
859C2×C59#342811yescharacteristic
860C2×C59C4×H(5,𝔽2)11yescharacteristic
861C2×C59#353411yescharacteristic
862C2×C59#354211yescharacteristic
863C2×C59#354511yescharacteristic
864C2×C59#356011yescharacteristic
865D59—42no—
866D59—42no—
867C22×#41—591no—
868C23×D4—591no—
869#546—5916no—
870C2×#124—591no—
871C2×#123—591no—
872C2×#123—591no—
873C2×C22⋊Q8—591no—
874C2×#121—591no—
875C2×#121—591no—
876C2×#121—591no—
877C2×#120—591no—
878C2×#120C2×D5911yescharacteristic
879C2×C4×D4—591no—
880C2×C4×D4—591no—
881C2×C4×D4—591no—
882C2×C4×D4—591no—
883C2×C4×D4—591no—
884C2×C4×D4—591no—
885C2×C4×D4—591no—
886C2×C4×D4C2×D5911yescharacteristic, complemented
887C2×#117—591no—
888C2×#117—591no—
889C22×C4⋊C4—591no—
890C22×C22⋊C4—591no—
891C22×C22⋊C4—591no—
892C22×C22⋊C4—591no—
893C22×C22⋊C4—591no—
894C22×C22⋊C4—591no—
895C22×C22⋊C4C2×D5911yescharacteristic
896C22×C42—591no—
897#391—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390C2×D5911yescharacteristic
908#390C2×D5911yescharacteristic, complemented
909#389—591no—
910#389—591no—
911#389—591no—
912#389—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388C2×D5911yescharacteristic
940#388C2×D5911yescharacteristic
941#388C2×D5911yescharacteristic, complemented
942#388C2×D5911yescharacteristic, complemented
943#387—591no—
944#387—591no—
945#387—591no—
946#387—591no—
947#387—591no—
948#387—591no—
949#387—591no—
950#387—591no—
951#387—591no—
952#387—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#386—591no—
968#386—591no—
969#386—591no—
970#386—591no—
971#386—591no—
972#386C2×D5911yescharacteristic
973#386C2×D5911yescharacteristic, complemented
974#386C2×D5911yescharacteristic, complemented
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#385—591no—
982#385C2×D5911yescharacteristic, complemented
983#383—591no—
984#381—591no—
985#381—591no—
986#381—591no—
987#381—591no—
988#381—591no—
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380—591no—
996#379—591no—
997#379—591no—
998#379—591no—
999#379C2×D5911yescharacteristic
1000C4×C4⋊C4—591no—
1001C4×C4⋊C4—591no—
1002C4×C4⋊C4—591no—
1003C4×C22⋊C4—591no—
1004C4×C22⋊C4—591no—
1005C4×C22⋊C4—591no—
1006C4×C22⋊C4—591no—
1007C4×C22⋊C4—591no—
1008C4×C22⋊C4—591no—
1009C4×C22⋊C4—591no—
1010C4×C22⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4C2×D5911yescharacteristic, complemented
1018#376—591no—
1019#376—591no—
1020C2×#95—591no—
1021C2×#95—591no—
1022C2×#95—591no—
1023C59#3449211yescharacteristic, complemented, Sylow
1024C25—591no—
1025C25C22×D5911yescharacteristic
1026C2×#41—598no—
1027C2×#41—2362no—
1028C2×#41—2362no—
1029C22×Q8—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—598no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—2362no—
1038C22×D4—2362no—
1039C22×D4C22×D5911yescharacteristic
1040C22×D4C22×D5911yescharacteristic
1041C22×D4C22×D5911yescharacteristic
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4C22×D5911yescharacteristic
1056C23×C4C22×D5911yescharacteristic
1057C23×C4C22×D5911yescharacteristic
1058#124—598no—
1059#123—598no—
1060#123—598no—
1061C22⋊Q8—598no—
1062#121—598no—
1063#121—598no—
1064#121—598no—
1065#120—598no—
1066#120C4×D5918yescomplemented
1067C4×D4—42no—
1068C4×D4—598no—
1069C4×D4—598no—
1070C4×D4—2362no—
1071C4×D4—2362no—
1072C4×D4—2362no—
1073C4×D4—2362no—
1074C4×D4—2362no—
1075#117—2362no—
1076#117—2362no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—2362no—
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4—598no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—598no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—2362no—
1136C2×C22⋊C4—2362no—
1137C2×C22⋊C4—2362no—
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C22⋊C4C22×D5911yescharacteristic
1140C2×C22⋊C4C22×D5911yescharacteristic
1141C2×C22⋊C4C22×D5911yescharacteristic
1142C2×C22⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42—591no—
1164C2×C42—591no—
1165C2×C42—591no—
1166C2×C42—591no—
1167C2×C42—591no—
1168C2×C42—2362no—
1169C2×C42C22×D5911yescharacteristic
1170C2×C42C22×D5911yescharacteristic
1171C2×C42C22×D5911yescharacteristic
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208#95C22×D5911yescharacteristic
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—591no—
1219C24—591no—
1220C24—594no—
1221C24—2361no—
1222C24—2361no—
1223C24—2361no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24C2×C4×D5914yes—
1228C24C23×D5911yescharacteristic
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232#41—23616no—
1233C2×Q8—594no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—594no—
1243C2×D4—594no—
1244C2×D4—594no—
1245C2×D4—594no—
1246C2×D4—594no—
1247C2×D4—594no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—23616no—
1261C2×D4C2×C4×D5914yes—
1262C2×D4C2×C4×D5914yes—
1263C2×D4C2×C4×D5914yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—594no—
1274C22×C4—591no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—594no—
1282C22×C4—594no—
1283C22×C4—594no—
1284C22×C4—594no—
1285C22×C4—594no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—1182no—
1294C22×C4—1182no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—2361no—
1301C22×C4—2361no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
1323C22×C4—2361no—
1324C22×C4—2361no—
1325C22×C4—2361no—
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—594no—
1341C4⋊C4—594no—
1342C4⋊C4—594no—
1343C4⋊C4—594no—
1344C4⋊C4—1182no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C4⋊C4—2361no—
1355C4⋊C4—2361no—
1356C4⋊C4—2361no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—594no—
1371C22⋊C4—594no—
1372C22⋊C4—594no—
1373C22⋊C4—594no—
1374C22⋊C4—594no—
1375C22⋊C4—594no—
1376C22⋊C4—594no—
1377C22⋊C4—594no—
1378C22⋊C4—594no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4C2×C4×D5914yes—
1405C22⋊C4C2×C4×D5914yes—
1406C22⋊C4C2×C4×D5914yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—594no—
1411C42—1182no—
1412C42—1182no—
1413C42—2361no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C42—2361no—
1419C42—2361no—
1420C42—2361no—
1421C42—2361no—
1422C42—2361no—
1423C42—2361no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—28no—
1447C23—44no—
1448C23—44no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—592no—
1454C23—592no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—4722no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23C22×C4×D5912yes—
1475C23C22×C4×D5912yes—
1476C23C22×C4×D5912yes—
1477C23C22×C4×D5912yes—
1478C23#1427377212yes—
1479C23#1427377312yes—
1480C23C24×D5911yescharacteristic
1481Q8—2364no—
1482D4—28no—
1483D4—44no—
1484D4—44no—
1485D4—1188no—
1486D4—1188no—
1487D4—2364no—
1488D4—2364no—
1489D4—2364no—
1490D4—2364no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—82no—
1523C2×C4—82no—
1524C2×C4—592no—
1525C2×C4—592no—
1526C2×C4—592no—
1527C2×C4—592no—
1528C2×C4—592no—
1529C2×C4—592no—
1530C2×C4—592no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1188no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—4722no—
1570C2×C4—4722no—
1571C2×C4—4722no—
1572C2×C4—4722no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4—2364no—
1576C2×C4—2364no—
1577C2×C4—2364no—
1578C2×C4—2364no—
1579C2×C4C22×C4×D5912yes—
1580C2×C4C22×C4×D5912yes—
1581C2×C4C22×C4×D5912yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—88no—
1610C22—1182no—
1611C22—1182no—
1612C22—1182no—
1613C22—1182no—
1614C22—1182no—
1615C22—1182no—
1616C22—4728no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22#1683787414yes—
1626C22C23×C4×D5911yescharacteristic
1627C22H(5,𝔽2)×D5911yescharacteristic
1628C22C2×#1427377211yescharacteristic
1629C22C2×#1427377311yescharacteristic
1630C22#1683823711yescharacteristic
1631C22#1683823711yescharacteristic
1632C22#1683823711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—1182no—
1645C4—1182no—
1646C4—1182no—
1647C4—1182no—
1648C4—1182no—
1649C4—1182no—
1650C4—1182no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—2362no—
1663C2—2362no—
1664C2C2×#1683787411yescharacteristic
1665C2#2143729411yescharacteristic
1666C2#2143730011yescharacteristic
1667C2#2143828711yescharacteristic
1668C2#2143839911yescharacteristic
1669C2#2143844511yescharacteristic
1670C2#2143865011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2321C2
socle, cosocleC23×C59C25
prime radicalC2×#16838039C2
hypercenter#2321D59
hypocenterC59#34492
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #21427263C2semidirect
3. #21427247C2semidirect
4. #21427238C2semidirect
5. #21427234C2semidirect
6. #21427203C2semidirect
7. #21427141C2semidirect
8. #21427139C2semidirect
9. #21427090C2semidirect
10. #21427080C2semidirect
11. #21427034C2semidirect
12. #21427030C2semidirect
13. #21426947C2semidirect
14. #21426944C2semidirect
15. #21426921C2semidirect
16. #21426912C2semidirect
17. #21426903C2semidirect
18. #21426884C2semidirect
19. #21426857C2semidirect
20. #21426853C2semidirect
21. #21426797C2semidirect
22. #21426764C2semidirect
23. #21426755C2semidirect
24. #21426733C2semidirect
25. #21426690C2semidirect
26. #21426683C2semidirect
27. #21426671C2semidirect
28. #21426606C2semidirect
29. #21426532C2semidirect
30. C2×#16837296C2semidirect
31. C59×#2321C2semidirect
34. #16838039C4semidirect
44. C2×D4×Dic59C22semidirect
45. C2×D4×Dic59C22semidirect
49. C2×(C22⋊D59)⋊C4C22semidirect
50. C2×#14273685C22semidirect
51. C2×#14273683C22semidirect
52. C22×Dic59⋊C4C22semidirect
58. C22×C4×Dic59C22semidirect
59. #16837308C22semidirect
60. #16837307C22semidirect
61. #16837306C22semidirect
62. #16837306C22semidirect
66. #16837302C22semidirect
67. #16837302C22semidirect
68. #16837302C22semidirect
69. #16837300C22semidirect
70. #16837299C22semidirect
71. #16837298C22semidirect
72. #16837298C22semidirect
79. #16837296C22semidirect
80. #16837296C22semidirect
81. #16837296C22semidirect
82. #16837296C22semidirect
83. #16837296C22semidirect
86. #16837294C22semidirect
87. #16837294C22semidirect
88. #16837294C22semidirect
89. #16837293C22semidirect
90. #16837293C22semidirect
91. #16837292C22semidirect
92. #16837292C22semidirect
93. #16837291C22semidirect
94. #16837291C22semidirect
95. #16837291C22semidirect
98. #16837290C22semidirect
99. #16837289C22semidirect
100. #16837287C22semidirect
101. #16837287C22semidirect
102. #16837286C22semidirect
103. #16837286C22semidirect
104. #16837285C22semidirect
105. #16837285C22semidirect
106. #16837284C22semidirect
107. #16837283C22semidirect
108. #16837283C22semidirect
110. #16837282C22semidirect
111. #16837282C22semidirect
116. #16837281C22semidirect
117. #16837281C22semidirect
124. #16837279C22semidirect
127. #16837278C22semidirect
128. #16837277C22semidirect
129. #16837277C22semidirect
130. #16837276C22semidirect
131. #16837274C22semidirect
132. #16837274C22semidirect
133. #16837273C22semidirect
134. #16837273C22semidirect
135. #16837269C22semidirect
136. #16837264C22semidirect
139. #16837263C22semidirect
140. #16837263C22semidirect
141. #16837261C22semidirect
142. #16837261C22semidirect
144. #16837260C22semidirect
145. #16837260C22semidirect
146. #16837260C22semidirect
147. #16837259C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4×C4⋊Dic59C22semidirect
153. #16837253C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
165. C4×C22⋊Dic59C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837248C22semidirect
169. #16837247C22semidirect
170. C2×C59⋊#95C22semidirect
171. C2×C59⋊#95C22semidirect
172. C2×C59⋊#95C22semidirect
174. C2×C4×D4×C59C22semidirect
177. C59×#390C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#385C22semidirect
187. C4×C22⋊C4×C59C22semidirect
191. C2×#11745687C2×C4semidirect
195. C22×C22⋊D59C2×C4semidirect
215. #14273713C2×C4semidirect
216. #14273711C2×C4semidirect
217. #14273709C2×C4semidirect
218. #14273704C2×C4semidirect
219. #14273699C2×C4semidirect
220. #14273699C2×C4semidirect
221. #14273698C2×C4semidirect
222. #14273695C2×C4semidirect
225. D4×Dic59C2×C4semidirect
229. (C22⋊D59)⋊C4C2×C4semidirect
252. C2×C22⋊Dic59C2×C4semidirect
288. C22⋊C4×D59C2×C4semidirect
345. #120×C59C2×C4semidirect
846. #2321D59semidirect
886. C2×C4×D4C2×D59semidirect
908. #390C2×D59semidirect
941. #388C2×D59semidirect
942. #388C2×D59semidirect
973. #386C2×D59semidirect
974. #386C2×D59semidirect
982. #385C2×D59semidirect
1017. C4×C22⋊C4C2×D59semidirect
1023. C59#34492semidirect
1066. #120C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168380392
#214272632
#214272472
#214272382
#214272342
#214272032
#214271412
#214271392
#214270902
#214270802
#214270342
#214270302
#214269472
#214269442
#214269212
#214269122
#214269032
#214268842
#214268572
#214268532
#214267972
#214267642
#214267552
#214267332
#214266902
#214266832
#214266712
#214266062
#214265322
C2×#168372962
C59×#23212
#3449259