Finite Group Databasebeta

← #28754043

Subgroups — #28754043

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×#16838040C211yesmaximal, characteristic
2#21427257C211yesmaximal, characteristic, complemented
3#21427255C211yesmaximal, characteristic, complemented
4#21427240C211yesmaximal, characteristic, complemented
5#21427234C211yesmaximal, characteristic, complemented
6#21427207C211yesmaximal, characteristic, complemented
7#21427141C211yesmaximal, characteristic, complemented
8#21427137C211yesmaximal, characteristic, complemented
9#21427084C211yesmaximal, characteristic, complemented
10#21427073C211yesmaximal, characteristic, complemented
11#21427034C211yesmaximal, characteristic, complemented
12#21427032C211yesmaximal, characteristic, complemented
13#21426948C211yesmaximal, characteristic, complemented
14#21426938C211yesmaximal, characteristic, complemented
15#21426914C211yesmaximal, characteristic, complemented
16#21426908C211yesmaximal, characteristic, complemented
17#21426886C211yesmaximal, characteristic, complemented
18#21426862C211yesmaximal, characteristic, complemented
19#21426851C211yesmaximal, characteristic, complemented
20#21426799C211yesmaximal, characteristic, complemented
21#21426762C211yesmaximal, characteristic, complemented
22#21426752C211yesmaximal, characteristic, complemented
23#21426750C211yesmaximal, characteristic, complemented
24#21426736C211yesmaximal, characteristic, complemented
25#21426693C211yesmaximal, characteristic, complemented
26#21426688C211yesmaximal, characteristic, complemented
27#21426670C211yesmaximal, characteristic, complemented
28C4×#14273699C211yesmaximal, characteristic, complemented
29#21426536C211yesmaximal, characteristic, complemented
30C2×#16837294C211yesmaximal, characteristic, complemented
31C59×#2339C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33#16838040C4116yescomplemented
34C2×#14273716C2211yescharacteristic
35C2×#14273710C2211yescharacteristic
36C2×#14273710C2211yescharacteristic
37C2×#14273703C2211yescharacteristic
38C2×#14273701C2211yescharacteristic
39C2×#14273699C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273695C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×D4×Dic59C2211yescharacteristic
44C2×C4×C22⋊D59C2211yescharacteristic
45C2×C4×C22⋊D59C2211yescharacteristic
46C2×C4×C22⋊D59C2211yescharacteristic, complemented
47C2×C4×C22⋊D59C2211yescharacteristic, complemented
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C2×#14273686C2211yescharacteristic, complemented
50C2×#14273683C2211yescharacteristic, complemented
51C22×C4⋊Dic59C2211yescharacteristic, complemented
52C22×(C2×D59)⋊C4C2211yescharacteristic
53C22×(C2×D59)⋊C4C2211yescharacteristic
54C22×(C2×D59)⋊C4C2211yescharacteristic
55C22×(C2×D59)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58C22×C4×Dic59C2211yescharacteristic, complemented
59#16837309C2211yescharacteristic, complemented
60#16837309C2211yescharacteristic, complemented
61#16837305C2211yescharacteristic, complemented
62#16837305C2211yescharacteristic, complemented
63#16837302C2211yescharacteristic
64#16837302C2211yescharacteristic
65#16837302C2211yescharacteristic
66#16837302C2211yescharacteristic
67#16837302C2211yescharacteristic, complemented
68#16837302C2211yescharacteristic, complemented
69#16837299C2211yescharacteristic, complemented
70#16837299C2211yescharacteristic, complemented
71#16837299C2211yescharacteristic, complemented
72#16837297C2211yescharacteristic, complemented
73#16837296C2211yescharacteristic, complemented
74#16837296C2211yescharacteristic, complemented
75#16837296C2211yescharacteristic, complemented
76#16837296C2211yescharacteristic, complemented
77#16837294C2211yescharacteristic
78#16837294C2211yescharacteristic
79#16837294C2211yescharacteristic
80#16837294C2211yescharacteristic
81#16837294C2211yescharacteristic
82#16837294C2211yescharacteristic
83#16837294C2211yescharacteristic, complemented
84#16837294C2211yescharacteristic, complemented
85#16837294C2211yescharacteristic, complemented
86#16837294C2211yescharacteristic, complemented
87#16837294C2211yescharacteristic, complemented
88#16837294C2211yescharacteristic, complemented
89#16837294C2211yescharacteristic, complemented
90#16837293C2211yescharacteristic
91#16837293C2211yescharacteristic
92#16837293C2211yescharacteristic, complemented
93#16837292C2211yescharacteristic
94#16837292C2211yescharacteristic
95#16837292C2211yescharacteristic, complemented
96#16837292C2211yescharacteristic, complemented
97#16837292C2211yescharacteristic, complemented
98#16837291C2211yescharacteristic
99#16837291C2211yescharacteristic
100#16837291C2211yescharacteristic, complemented
101#16837290C2211yescharacteristic, complemented
102#16837290C2211yescharacteristic, complemented
103#16837289C2211yescharacteristic, complemented
104#16837289C2211yescharacteristic, complemented
105#16837289C2211yescharacteristic, complemented
106#16837287C2211yescharacteristic, complemented
107#16837287C2211yescharacteristic, complemented
108#16837286C2211yescharacteristic, complemented
109#16837285C2211yescharacteristic, complemented
110#16837285C2211yescharacteristic, complemented
111#16837284C2211yescharacteristic, complemented
112#16837283C2211yescharacteristic, complemented
113#16837282C2211yescharacteristic
114#16837282C2211yescharacteristic
115#16837282C2211yescharacteristic, complemented
116#16837282C2211yescharacteristic, complemented
117#16837281C2211yescharacteristic
118#16837281C2211yescharacteristic
119#16837281C2211yescharacteristic
120#16837281C2211yescharacteristic, complemented
121#16837281C2211yescharacteristic, complemented
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837279C2211yescharacteristic
127#16837278C2211yescharacteristic
128#16837278C2211yescharacteristic
129#16837278C2211yescharacteristic, complemented
130#16837278C2211yescharacteristic, complemented
131#16837276C2211yescharacteristic, complemented
132#16837276C2211yescharacteristic, complemented
133#16837276C2211yescharacteristic, complemented
134#16837276C2211yescharacteristic, complemented
135#16837276C2211yescharacteristic, complemented
136#16837275C2211yescharacteristic, complemented
137#16837274C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic, complemented
139#16837269C2211yescharacteristic, complemented
140#16837264C2211yescharacteristic
141#16837264C2211yescharacteristic
142#16837263C2211yescharacteristic, complemented
143#16837262C2211yescharacteristic, complemented
144#16837262C2211yescharacteristic, complemented
145#16837262C2211yescharacteristic, complemented
146#16837262C2211yescharacteristic, complemented
147#16837261C2211yescharacteristic
148#16837260C2211yescharacteristic, complemented
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152#16837257C2211yescharacteristic
153C4×Dic59⋊C4C2211yescharacteristic, complemented
154#16837253C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic59C2211yescharacteristic, complemented
164C4×C22⋊Dic59C2211yescharacteristic, complemented
165C4×C22⋊Dic59C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837247C2211yescharacteristic, complemented
171#16837247C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C22×#41×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C59×#391C2211yescharacteristic, complemented
177C59×#391C2211yescharacteristic, complemented
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic, complemented
182C59×#381C2211yescharacteristic, complemented
183C59×#381C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic, complemented
187C2×#95×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C2×D4×D59—42no—
197C2×D4×D59—42no—
198C2×D4×D59C2×C418yescomplemented
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208#14273716C2×C418yescomplemented
209#14273710C2×C418yescomplemented
210#14273710C2×C418yescomplemented
211#14273703C2×C418yescomplemented
212#14273701C2×C418yescomplemented
213#14273699C2×C418yescomplemented
214#14273699C2×C418yescomplemented
215#14273695C2×C418yescomplemented
216#14273695C2×C418yescomplemented
217D4×Dic59C2×C418yescomplemented
218C4×C22⋊D59—42no—
219C4×C22⋊D59—42no—
220C4×C22⋊D59—42no—
221C4×C22⋊D59C2×C418yescomplemented
222(C22⋊D59)⋊C4—42no—
223#14273686—42no—
224#14273683—42no—
225C2×C4⋊Dic59—42no—
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×(C2×D59)⋊C4—42no—
258C2×(C2×D59)⋊C4—42no—
259C2×(C2×D59)⋊C4C2×C418yescomplemented
260C2×(C2×D59)⋊C4C2×C418yescomplemented
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
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
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C22⋊C4×D59—42no—
291C22⋊C4×D59—42no—
292C2×C4×Dic59—42no—
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
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
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
336C2×#41×C59—42no—
337C2×#41×C59—42no—
338C2×#41×C59C2×C418yescomplemented
339C22×Q8×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347C23×C4×C59C2311yescharacteristic
348C23×C4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350C4×D4×C59—42no—
351C4×D4×C59—42no—
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊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×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59—41no—
387C23×D59—41no—
388C23×D59—41no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59C22×C414yes—
392C23×D59C22×C414yes—
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396#41×C59—416no—
397C2×Q8×C59—41no—
398C2×Q8×C59—41no—
399C2×Q8×C59C22×C414yes—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59C22×C414yes—
407C2×D4×C59C22×C414yes—
408C2×D4×C59C22×C414yes—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59C22×C414yes—
428C22×C4×C59C22×C414yes—
429C22×C4×C59C22×C414yes—
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59C22×C414yes—
453C2×C22⋊D59C22×C414yes—
454C2×C22⋊D59C22×C414yes—
455C2×C22⋊D59C22×C414yes—
456C2×C22⋊D59C22×C414yes—
457C22×Dic59—22no—
458C22×Dic59—22no—
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×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482D4×D59—416no—
483C2×D236—41no—
484C2×D236—41no—
485C2×D236C22×C414yes—
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×D59—41no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59C22×C414yes—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C22⋊C4×C59—22no—
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—
511C42×C59—41no—
512C42×C59—41no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—41no—
516C22⋊Dic59—41no—
517C22⋊Dic59—41no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59C22×C414yes—
524C22⋊Dic59C22×C414yes—
525C22⋊Dic59C22×C414yes—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
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)⋊C4C22×C414yes—
547(C2×D59)⋊C4C22×C414yes—
548(C2×D59)⋊C4C22×C414yes—
549(C2×D59)⋊C4C22×C414yes—
550(C2×D59)⋊C4C22×C414yes—
551(C2×D59)⋊C4C22×C414yes—
552(C2×D59)⋊C4C22×C414yes—
553(C2×D59)⋊C4C22×C414yes—
554(C2×D59)⋊C4C22×C414yes—
555C4⋊Dic59—41no—
556C4⋊Dic59—41no—
557C4⋊Dic59—41no—
558C4⋊Dic59—41no—
559C4⋊Dic59—41no—
560C4⋊Dic59—41no—
561C4⋊Dic59C22×C414yes—
562Dic59⋊C4—22no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4C22×C414yes—
571Dic59⋊C4C22×C414yes—
572Dic59⋊C4C22×C414yes—
573C4×Dic59—22no—
574C4×Dic59—22no—
575C4×Dic59—41no—
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×C59C23×C412yes—
605C23×C59C23×C412yes—
606C23×C59C23×C412yes—
607C23×C59H(5,𝔽2)12yes—
608C23×C59H(5,𝔽2)12yes—
609C23×C59C2511yescharacteristic
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—28no—
629C22×D59—44no—
630C22×D59—44no—
631C22×D59—44no—
632C22×D59—44no—
633C22×D59—44no—
634C22×D59—82no—
635C22×D59—82no—
636C22×D59—82no—
637C22×D59—82no—
638C22×D59—82no—
639C22×D59—82no—
640C22×D59—82no—
641C22×D59—82no—
642C22×D59C23×C412yes—
643C22×D59C23×C412yes—
644C22×D59C23×C412yes—
645Q8×C59—44no—
646D4×C59—28no—
647D4×C59—28no—
648D4×C59—44no—
649C2×C4×C59—28no—
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—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—44no—
682C2×C4×C59—44no—
683C2×C4×C59—44no—
684C2×C4×C59—82no—
685C2×C4×C59—82no—
686C2×C4×C59—82no—
687C2×C4×C59C23×C412yes—
688C2×C4×C59C23×C412yes—
689C2×C4×C59C23×C412yes—
690C2×C4×C59C23×C412yes—
691C2×C4×C59H(5,𝔽2)12yes—
692C22⋊D59—28no—
693C22⋊D59—44no—
694C22⋊D59—44no—
695C22⋊D59—44no—
696C22⋊D59—44no—
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—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—44no—
732C2×Dic59—44no—
733C2×Dic59—44no—
734C2×Dic59—82no—
735C2×Dic59C23×C412yes—
736C2×Dic59C23×C412yes—
737C2×Dic59C23×C412yes—
738C2×Dic59C23×C412yes—
739C2×Dic59C23×C412yes—
740D236—44no—
741C4×D59—44no—
742C4×D59—82no—
743C4×D59—82no—
744C4×D59—82no—
745C4×D59—82no—
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—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59#51814yes—
768C22×C59C24×C411yescharacteristic
769C22×C59C2×H(5,𝔽2)11yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59C2×H(5,𝔽2)11yescharacteristic
772C22×C59#58511yescharacteristic
773C22×C59#58511yescharacteristic
774C22×C59#58511yescharacteristic
775C2×D59—22no—
776C2×D59—22no—
777C2×D59—22no—
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—88no—
797C2×D59—88no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—22no—
815Dic59—41no—
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#2339D5911yescharacteristic, complemented
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#2321—591no—
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×C59C2×#51811yescharacteristic
858C2×C59#342811yescharacteristic
859C2×C59C4×H(5,𝔽2)11yescharacteristic
860C2×C59#353411yescharacteristic
861C2×C59#354211yescharacteristic
862C2×C59#354511yescharacteristic
863C2×C59#356011yescharacteristic
864D59—42no—
865D59—42no—
866D59—42no—
867C22×#41C2×D5911yescharacteristic
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×#120—591no—
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×D4C2×D5911yescharacteristic, complemented
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⋊C4—591no—
896C22×C42—591no—
897#391—591no—
898#391—591no—
899#391C2×D5911yescharacteristic, complemented
900#391C2×D5911yescharacteristic, complemented
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390—591no—
908#390—591no—
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#388—591no—
940#388—591no—
941#388—591no—
942#388—591no—
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#386C2×D5911yescharacteristic
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#385—591no—
983#383—591no—
984#381—591no—
985#381—591no—
986#381—591no—
987#381C2×D5911yescharacteristic, complemented
988#381C2×D5911yescharacteristic, complemented
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380C2×D5911yescharacteristic, complemented
996#379—591no—
997#379—591no—
998#379—591no—
999#379—591no—
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×#95C2×D5911yescharacteristic, complemented
1022C2×#95C2×D5911yescharacteristic, complemented
1023C59#3449211yescharacteristic, complemented, Sylow
1024C25—591no—
1025C25—591no—
1026C2×#41—42no—
1027C2×#41—42no—
1028C2×#41C4×D5918yescomplemented
1029C22×Q8C22×D5911yescharacteristic
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—598no—
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×C4C22×D5911yescharacteristic
1052C23×C4C22×D5911yescharacteristic
1053C23×C4C22×D5911yescharacteristic
1054C23×C4C22×D5911yescharacteristic
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#120—598no—
1067C4×D4—42no—
1068C4×D4—42no—
1069C4×D4—598no—
1070C4×D4—598no—
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—591no—
1095C2×C4⋊C4—2362no—
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—598no—
1102C2×C22⋊C4—598no—
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—591no—
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—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—2362no—
1143C2×C22⋊C4—2362no—
1144C2×C22⋊C4—2362no—
1145C2×C22⋊C4—2362no—
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—591no—
1169C2×C42—2362no—
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#95C22×D5911yescharacteristic
1201#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205#95C22×D5911yescharacteristic
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208#95C22×D5911yescharacteristic
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212C24—591no—
1213C24—591no—
1214C24—591no—
1215C24—594no—
1216C24—594no—
1217C24—1182no—
1218C24—1182no—
1219C24—2361no—
1220C24—2361no—
1221C24—2361no—
1222C24—2361no—
1223C24—2361no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232#41—416no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C2×C4×D5914yes—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
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—2361no—
1251C2×D4—2361no—
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—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—591no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—594no—
1288C22×C4—594no—
1289C22×C4—594no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
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×C4C2×C4×D5914yes—
1323C22×C4C2×C4×D5914yes—
1324C22×C4C2×C4×D5914yes—
1325C22×C4C23×D5911yescharacteristic
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—594no—
1340C4⋊C4—594no—
1341C4⋊C4—594no—
1342C4⋊C4—594no—
1343C4⋊C4—1182no—
1344C4⋊C4—2361no—
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—22no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—594no—
1366C22⋊C4—594no—
1367C22⋊C4—594no—
1368C22⋊C4—594no—
1369C22⋊C4—594no—
1370C22⋊C4—594no—
1371C22⋊C4—594no—
1372C22⋊C4—594no—
1373C22⋊C4—594no—
1374C22⋊C4—594no—
1375C22⋊C4—594no—
1376C22⋊C4—594no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
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⋊C4—2361no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C42—41no—
1408C42—41no—
1409C42—594no—
1410C42—1182no—
1411C42—1182no—
1412C42—2361no—
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—592no—
1441C23—592no—
1442C23—592no—
1443C23—1188no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—4722no—
1463C23—4722no—
1464C23—4722no—
1465C23—4722no—
1466C23—4722no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—2364no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23—2364no—
1475C23C22×C4×D5912yes—
1476C23C22×C4×D5912yes—
1477C23C22×C4×D5912yes—
1478C23#1427377212yes—
1479C23#1427377212yes—
1480C23C24×D5911yescharacteristic
1481Q8—44no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—1188no—
1486D4—2364no—
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—28no—
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—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—592no—
1530C2×C4—592no—
1531C2×C4—592no—
1532C2×C4—592no—
1533C2×C4—592no—
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—1181no—
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—1181no—
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×C4C22×C4×D5912yes—
1578C2×C4C22×C4×D5912yes—
1579C2×C4C22×C4×D5912yes—
1580C2×C4C22×C4×D5912yes—
1581C2×C4#1427377312yes—
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—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—1182no—
1603C22—1182no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—1182no—
1608C22—1182no—
1609C22—1182no—
1610C22—1182no—
1611C22—4728no—
1612C22—4728no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22#1683787514yes—
1626C22C23×C4×D5911yescharacteristic
1627C22C2×#1427377211yescharacteristic
1628C22C2×#1427377211yescharacteristic
1629C22C2×#1427377311yescharacteristic
1630C22#1683823711yescharacteristic
1631C22#1683823811yescharacteristic
1632C22#1683823911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1182no—
1646C4—1182no—
1647C4—1182no—
1648C4—1182no—
1649C4—1182no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—2362no—
1662C2—2362no—
1663C2—2362no—
1664C2C2×#1683787511yescharacteristic
1665C2#2143729611yescharacteristic
1666C2C4×#1427377311yescharacteristic
1667C2#2143828211yescharacteristic
1668C2#2143841311yescharacteristic
1669C2#2143844311yescharacteristic
1670C2#2143864411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2339C2
socle, cosocleC23×C59C25
prime radicalC2×#16838040C2
hypercenter#2339D59
hypocenterC59#34492
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #21427257C2semidirect
3. #21427255C2semidirect
4. #21427240C2semidirect
5. #21427234C2semidirect
6. #21427207C2semidirect
7. #21427141C2semidirect
8. #21427137C2semidirect
9. #21427084C2semidirect
10. #21427073C2semidirect
11. #21427034C2semidirect
12. #21427032C2semidirect
13. #21426948C2semidirect
14. #21426938C2semidirect
15. #21426914C2semidirect
16. #21426908C2semidirect
17. #21426886C2semidirect
18. #21426862C2semidirect
19. #21426851C2semidirect
20. #21426799C2semidirect
21. #21426762C2semidirect
22. #21426752C2semidirect
23. #21426750C2semidirect
24. #21426736C2semidirect
25. #21426693C2semidirect
26. #21426688C2semidirect
27. #21426670C2semidirect
28. C4×#14273699C2semidirect
29. #21426536C2semidirect
30. C2×#16837294C2semidirect
31. C59×#2339C2semidirect
33. #16838040C4semidirect
46. C2×C4×C22⋊D59C22semidirect
47. C2×C4×C22⋊D59C22semidirect
49. C2×#14273686C22semidirect
50. C2×#14273683C22semidirect
51. C22×C4⋊Dic59C22semidirect
58. C22×C4×Dic59C22semidirect
59. #16837309C22semidirect
60. #16837309C22semidirect
61. #16837305C22semidirect
62. #16837305C22semidirect
67. #16837302C22semidirect
68. #16837302C22semidirect
69. #16837299C22semidirect
70. #16837299C22semidirect
71. #16837299C22semidirect
72. #16837297C22semidirect
73. #16837296C22semidirect
74. #16837296C22semidirect
75. #16837296C22semidirect
76. #16837296C22semidirect
83. #16837294C22semidirect
84. #16837294C22semidirect
85. #16837294C22semidirect
86. #16837294C22semidirect
87. #16837294C22semidirect
88. #16837294C22semidirect
89. #16837294C22semidirect
92. #16837293C22semidirect
95. #16837292C22semidirect
96. #16837292C22semidirect
97. #16837292C22semidirect
100. #16837291C22semidirect
101. #16837290C22semidirect
102. #16837290C22semidirect
103. #16837289C22semidirect
104. #16837289C22semidirect
105. #16837289C22semidirect
106. #16837287C22semidirect
107. #16837287C22semidirect
108. #16837286C22semidirect
109. #16837285C22semidirect
110. #16837285C22semidirect
111. #16837284C22semidirect
112. #16837283C22semidirect
115. #16837282C22semidirect
116. #16837282C22semidirect
120. #16837281C22semidirect
121. #16837281C22semidirect
129. #16837278C22semidirect
130. #16837278C22semidirect
131. #16837276C22semidirect
132. #16837276C22semidirect
133. #16837276C22semidirect
134. #16837276C22semidirect
135. #16837276C22semidirect
136. #16837275C22semidirect
137. #16837274C22semidirect
138. #16837273C22semidirect
139. #16837269C22semidirect
142. #16837263C22semidirect
143. #16837262C22semidirect
144. #16837262C22semidirect
145. #16837262C22semidirect
146. #16837262C22semidirect
148. #16837260C22semidirect
153. C4×Dic59⋊C4C22semidirect
154. #16837253C22semidirect
155. #16837253C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×C22⋊Dic59C22semidirect
164. C4×C22⋊Dic59C22semidirect
165. C4×C22⋊Dic59C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837247C22semidirect
171. #16837247C22semidirect
172. C2×C59⋊#95C22semidirect
174. C2×C4×D4×C59C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C59×#391C22semidirect
177. C59×#391C22semidirect
180. C59×#386C22semidirect
181. C59×#386C22semidirect
182. C59×#381C22semidirect
183. C59×#381C22semidirect
184. C59×#380C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C2×#95×C59C22semidirect
187. C2×#95×C59C22semidirect
198. C2×D4×D59C2×C4semidirect
208. #14273716C2×C4semidirect
209. #14273710C2×C4semidirect
210. #14273710C2×C4semidirect
211. #14273703C2×C4semidirect
212. #14273701C2×C4semidirect
213. #14273699C2×C4semidirect
214. #14273699C2×C4semidirect
215. #14273695C2×C4semidirect
216. #14273695C2×C4semidirect
217. D4×Dic59C2×C4semidirect
221. C4×C22⋊D59C2×C4semidirect
259. C2×(C2×D59)⋊C4C2×C4semidirect
260. C2×(C2×D59)⋊C4C2×C4semidirect
338. C2×#41×C59C2×C4semidirect
837. #2339D59semidirect
885. C2×C4×D4C2×D59semidirect
886. C2×C4×D4C2×D59semidirect
899. #391C2×D59semidirect
900. #391C2×D59semidirect
973. #386C2×D59semidirect
974. #386C2×D59semidirect
987. #381C2×D59semidirect
988. #381C2×D59semidirect
995. #380C2×D59semidirect
1017. C4×C22⋊C4C2×D59semidirect
1021. C2×#95C2×D59semidirect
1022. C2×#95C2×D59semidirect
1023. C59#34492semidirect
1028. C2×#41C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168380402
#214272572
#214272552
#214272402
#214272342
#214272072
#214271412
#214271372
#214270842
#214270732
#214270342
#214270322
#214269482
#214269382
#214269142
#214269082
#214268862
#214268622
#214268512
#214267992
#214267622
#214267522
#214267502
#214267362
#214266932
#214266882
#214266702
C4×#142736992
#214265362
C2×#168372942
C59×#23392
#3449259