Finite Group Databasebeta

← #28797551

Subgroups — #28797551

Order 15104.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432388C211yesmaximal, characteristic, complemented
2#21432383C211yesmaximal, characteristic, complemented
3#21431938C211yesmaximal, characteristic, complemented
4#21431483C211yesmaximal, characteristic, complemented
5#21431427C211yesmaximal, characteristic, complemented
6#21431349C211yesmaximal, characteristic, complemented
7#21431155C211yesmaximal, characteristic, complemented
8#21431094C211yesmaximal, characteristic, complemented
9#21431018C211yesmaximal, characteristic, complemented
10#21430902C211yesmaximal, characteristic, complemented
11#21430863C211yesmaximal, characteristic, complemented
12#21430838C211yesmaximal, characteristic, complemented
13#21430773C211yesmaximal, characteristic, complemented
14#21430712C211yesmaximal, characteristic, complemented
15#21430698C211yesmaximal, characteristic, complemented
16#21430572C211yesmaximal, characteristic, complemented
17#21430497C211yesmaximal, characteristic, complemented
18#21430351C211yesmaximal, characteristic, complemented
19#21429901C211yesmaximal, characteristic, complemented
20#21429869C211yesmaximal, characteristic, complemented
21#21429276C211yesmaximal, characteristic, complemented
22#21429107C211yesmaximal, characteristic, complemented
23#21428336C211yesmaximal, characteristic, complemented
24#21428336C211yesmaximal, characteristic, complemented
25#21428216C211yesmaximal, characteristic, complemented
26#21428216C211yesmaximal, characteristic, complemented
27#21427743C211yesmaximal, characteristic, complemented
28#21427446C211yesmaximal, characteristic
29#21426829C211yesmaximal, characteristic, complemented
30#21426730C211yesmaximal, characteristic, complemented
31C2×C59×#386C211yesmaximal, characteristic, complemented
32C2×#14273720C2211yescharacteristic, complemented
33C2×#14273720C2211yescharacteristic, complemented
34C2×#14273714C2211yescharacteristic
35C2×#14273714C2211yescharacteristic
36C2×#14273713C2211yescharacteristic, complemented
37C2×#14273713C2211yescharacteristic, complemented
38C2×#14273710C2211yescharacteristic, complemented
39C2×#14273710C2211yescharacteristic, complemented
40C2×#14273706C2211yescharacteristic
41C2×#14273706C2211yescharacteristic
42C2×#14273706C2211yescharacteristic
43C2×#14273706C2211yescharacteristic, complemented
44C2×#14273706C2211yescharacteristic, complemented
45C2×#14273698C2211yescharacteristic
46C2×#14273698C2211yescharacteristic
47C2×#14273696C2211yescharacteristic
48C2×#14273696C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50#16837342C2211yescharacteristic, complemented
51#16837339C2211yescharacteristic, complemented
52#16837338C2211yescharacteristic, complemented
53#16837338C2211yescharacteristic, complemented
54#16837336C2211yescharacteristic, complemented
55#16837336C2211yescharacteristic, complemented
56#16837330C2211yescharacteristic, complemented
57#16837330C2211yescharacteristic, complemented
58#16837330C2211yescharacteristic, complemented
59#16837330C2211yescharacteristic, complemented
60#16837330C2211yescharacteristic, complemented
61#16837330C2211yescharacteristic, complemented
62#16837330C2211yescharacteristic, complemented
63#16837330C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837330C2211yescharacteristic, complemented
66#16837327C2211yescharacteristic, complemented
67#16837327C2211yescharacteristic, complemented
68#16837325C2211yescharacteristic, complemented
69#16837325C2211yescharacteristic, complemented
70#16837325C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837325C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837323C2211yescharacteristic, complemented
75#16837323C2211yescharacteristic, complemented
76#16837323C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837317C2211yescharacteristic, complemented
80#16837317C2211yescharacteristic, complemented
81#16837317C2211yescharacteristic, complemented
82#16837317C2211yescharacteristic, complemented
83#16837317C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic, complemented
85#16837316C2211yescharacteristic
86#16837316C2211yescharacteristic
87#16837316C2211yescharacteristic
88#16837316C2211yescharacteristic
89#16837316C2211yescharacteristic
90#16837316C2211yescharacteristic
91#16837315C2211yescharacteristic, complemented
92#16837314C2211yescharacteristic, complemented
93#16837314C2211yescharacteristic, complemented
94#16837314C2211yescharacteristic, complemented
95#16837314C2211yescharacteristic, complemented
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837306C2211yescharacteristic, complemented
99#16837306C2211yescharacteristic, complemented
100#16837306C2211yescharacteristic, complemented
101#16837306C2211yescharacteristic, complemented
102#16837305C2211yescharacteristic
103#16837305C2211yescharacteristic
104#16837305C2211yescharacteristic
105#16837305C2211yescharacteristic
106#16837302C2211yescharacteristic, complemented
107#16837302C2211yescharacteristic, complemented
108#16837299C2211yescharacteristic, complemented
109#16837299C2211yescharacteristic, complemented
110#16837299C2211yescharacteristic, complemented
111#16837299C2211yescharacteristic, complemented
112#16837296C2211yescharacteristic, complemented
113#16837296C2211yescharacteristic, complemented
114#16837295C2211yescharacteristic, complemented
115#16837295C2211yescharacteristic, complemented
116#16837295C2211yescharacteristic, complemented
117#16837295C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837290C2211yescharacteristic, complemented
123#16837290C2211yescharacteristic, complemented
124#16837289C2211yescharacteristic, complemented
125#16837289C2211yescharacteristic, complemented
126#16837287C2211yescharacteristic, complemented
127#16837287C2211yescharacteristic, complemented
128#16837285C2211yescharacteristic, complemented
129#16837285C2211yescharacteristic, complemented
130#16837284C2211yescharacteristic, complemented
131#16837284C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837281C2211yescharacteristic
135#16837281C2211yescharacteristic
136#16837281C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic, complemented
139#16837276C2211yescharacteristic, complemented
140#16837275C2211yescharacteristic
141#16837275C2211yescharacteristic
142#16837275C2211yescharacteristic
143#16837275C2211yescharacteristic
144#16837275C2211yescharacteristic
145#16837275C2211yescharacteristic
146#16837275C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic, complemented
150#16837275C2211yescharacteristic, complemented
151#16837275C2211yescharacteristic, complemented
152#16837269C2211yescharacteristic, complemented
153#16837266C2211yescharacteristic, complemented
154#16837265C2211yescharacteristic, complemented
155#16837265C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic, complemented
157#16837262C2211yescharacteristic
158#16837262C2211yescharacteristic
159#16837262C2211yescharacteristic
160#16837262C2211yescharacteristic, complemented
161#16837262C2211yescharacteristic, complemented
162#16837261C2211yescharacteristic, complemented
163#16837258C2211yescharacteristic
164#16837258C2211yescharacteristic
165#16837258C2211yescharacteristic
166#16837258C2211yescharacteristic
167#16837258C2211yescharacteristic
168#16837258C2211yescharacteristic
169C4×C22⋊Dic59C2211yescharacteristic
170C4×C22⋊Dic59C2211yescharacteristic
171C4×C22⋊Dic59C2211yescharacteristic
172C23×D4×C59C2211yescharacteristic
173C24×C4×C59C2211yescharacteristic
174C22×C22⋊C4×C59C2211yescharacteristic
175C22×C22⋊C4×C59C2211yescharacteristic
176C22×C22⋊C4×C59C2211yescharacteristic
177C59×#386C2211yescharacteristic
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C2×#95×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C22×Dic118C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C4×D59C2311yescharacteristic
196#14273720—42no—
197#14273720—42no—
198#14273714—42no—
199#14273714—42no—
200#14273713—42no—
201#14273713—42no—
202#14273710—42no—
203#14273710—42no—
204#14273706—24no—
205#14273706—42no—
206#14273706—42no—
207#14273706—42no—
208#14273706—42no—
209#14273698—42no—
210#14273698—42no—
211#14273696—42no—
212#14273696—42no—
213C4×C22⋊D59—24no—
214C2×C4⋊Dic59C2311yescharacteristic
215C2×C4⋊Dic59C2311yescharacteristic
216C2×C4⋊Dic59C2311yescharacteristic
217C2×C4⋊Dic59C2311yescharacteristic
218C2×C4⋊Dic59C2311yescharacteristic
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
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×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×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
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
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
325C25×C59C2311yescharacteristic
326C25×C59C2311yescharacteristic
327C22×D4×C59—24no—
328C22×D4×C59—42no—
329C22×D4×C59—42no—
330C22×D4×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C23×C4×C59—42no—
335C23×C4×C59—42no—
336C23×C4×C59—42no—
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59—42no—
347C2×C22⋊C4×C59—42no—
348C2×C22⋊C4×C59—42no—
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
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
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—22no—
372C24×C59—22no—
373C24×C59—22no—
374C24×C59—22no—
375C24×C59—22no—
376C24×C59—22no—
377C24×C59—41no—
378C24×C59—41no—
379C24×C59—41no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59—41no—
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—416no—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
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×C59—41no—
428C22×C4×C59—416no—
429C22×C4×C59#4114yes—
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
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
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⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C2×C4×D59—22no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×Dic118—22no—
474C2×Dic118—22no—
475C2×Dic118—41no—
476C2×Dic118—41no—
477C2×Dic118—41no—
478C2×Dic118—41no—
479C2×Dic118—41no—
480C2×Dic118—41no—
481C2×Dic118—41no—
482C22⋊C4×C59—22no—
483C22⋊C4×C59—22no—
484C22⋊C4×C59—22no—
485C22⋊C4×C59—22no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C22⋊C4×C59—41no—
490C22⋊C4×C59—41no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊Dic59—22no—
495C22⋊Dic59—22no—
496C22⋊Dic59—22no—
497C22⋊Dic59—22no—
498C22⋊Dic59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—22no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—22no—
505C22⋊Dic59—22no—
506C22⋊Dic59—22no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
514C22⋊Dic59—41no—
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⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
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—
538C4⋊Dic59—22no—
539C4⋊Dic59—22no—
540C4⋊Dic59—41no—
541C4⋊Dic59—41no—
542C4⋊Dic59—41no—
543C4⋊Dic59—41no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566C4×Dic59—22no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—28no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
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—44no—
605C23×C59—44no—
606C23×C59—44no—
607C23×C59—44no—
608C23×C59—44no—
609C23×C59—44no—
610C23×C59—44no—
611C23×C59—44no—
612C23×C59—44no—
613C23×C59—82no—
614C23×C59—82no—
615C23×C59—82no—
616C23×C59—82no—
617C23×C59C2×#4112yes—
618C23×C59H(5,𝔽2)12yes—
619C23×C59H(5,𝔽2)12yes—
620C23×C59H(5,𝔽2)12yes—
621C23×C592−1+412yes—
622C23×C59C2511yescharacteristic
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630D4×C59—44no—
631D4×C59—44no—
632D4×C59—44no—
633D4×C59—44no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
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—44no—
662C2×C4×C59—44no—
663C2×C4×C59—44no—
664C2×C4×C59—44no—
665C2×C4×C59—44no—
666C2×C4×C59—44no—
667C2×C4×C59—44no—
668C2×C4×C59—82no—
669C2×C4×C59—82no—
670C2×C4×C59C2×#4112yes—
671C2×C4×C59C2×#4112yes—
672C2×C4×C59H(5,𝔽2)12yes—
673C22⋊D59—44no—
674C22⋊D59—82no—
675C22⋊D59—82no—
676C22⋊D59—82no—
677C22⋊D59—82no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
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—
723C4×D59—82no—
724Dic118—82no—
725Dic118—82no—
726Dic118—82no—
727#36793—591nomaximal, Sylow
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—22no—
736C22×C59—22no—
737C22×C59—22no—
738C22×C59—22no—
739C22×C59—22no—
740C22×C59—416no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—88no—
764C22×C59#54214yes—
765C22×C59C22×#4111yescharacteristic
766C22×C59C2×H(5,𝔽2)11yescharacteristic
767C22×C59C2×H(5,𝔽2)11yescharacteristic
768C22×C59C2×H(5,𝔽2)11yescharacteristic
769C22×C59C2×H(5,𝔽2)11yescharacteristic
770C22×C59C2×2−1+411yescharacteristic
771C22×C59#58511yescharacteristic
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C4×C59—22no—
780C4×C59—22no—
781C4×C59—22no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802Dic59—41no—
803Dic59—41no—
804#2849—591no—
805#2848—591no—
806#2796—591no—
807#2761—591no—
808#2757—591no—
809#2751—591no—
810#2737—591no—
811#2730—591no—
812#2723—591no—
813#2715—591no—
814#2712—591no—
815#2710—591no—
816#2705—591no—
817#2701—591no—
818#2700—591no—
819#2691—591no—
820#2686—591no—
821#2672—591no—
822#2626—591no—
823#2622—591no—
824#2564—591no—
825#2549—591no—
826#2480—591no—
827#2480—591no—
828#2472—591no—
829#2472—591no—
830#2435—591no—
831#2408—591no—
832#2329—591no—
833#2318—591no—
834C2×#386D5911yescharacteristic, complemented
835C2×C59—24no—
836C2×C59—42no—
837C2×C59—42no—
838C2×C59—81no—
839C2×C59—81no—
840C2×C59C2×#54211yescharacteristic
841C2×C59#349011yescharacteristic
842C2×C59#350611yescharacteristic
843C2×C59#353211yescharacteristic
844C2×C59#353411yescharacteristic
845C2×C59#353511yescharacteristic
846C2×C59#353611yescharacteristic
847D59—81no—
848C23×D4C2×D5911yescharacteristic
849C24×C4C2×D5911yescharacteristic
850C2×#126—591no—
851C2×#126—591no—
852C2×#124—591no—
853C2×#124—591no—
854C2×#124—591no—
855C2×#124—591no—
856C2×#123—591no—
857C2×#123—591no—
858C2×C22⋊Q8—591no—
859C2×C22⋊Q8—591no—
860C2×C22⋊Q8—591no—
861C2×C22⋊Q8—591no—
862C2×C22⋊Q8—591no—
863C2×#121—591no—
864C2×#121—591no—
865C2×#120—591no—
866C2×#120—591no—
867C2×C4×D4—591no—
868C22×C22⋊C4C2×D5911yescharacteristic
869C22×C22⋊C4C2×D5911yescharacteristic
870C22×C22⋊C4C2×D5911yescharacteristic
871#400—591no—
872#399—591no—
873#399—591no—
874#399—591no—
875#398—591no—
876#398—591no—
877#397—591no—
878#397—591no—
879#397—591no—
880#397—591no—
881#397—591no—
882#397—591no—
883#397—591no—
884#397—591no—
885#397—591no—
886#397—591no—
887#397—591no—
888#397—591no—
889#396—591no—
890#396—591no—
891#396—591no—
892#396—591no—
893#396—591no—
894#396—591no—
895#395—591no—
896#395—591no—
897#395—591no—
898#394—591no—
899#394—591no—
900#394—591no—
901#394—591no—
902#394—591no—
903#394—591no—
904#394—591no—
905#394—591no—
906#394—591no—
907#394—591no—
908#394—591no—
909#394—591no—
910#394—591no—
911#394—591no—
912#393—591no—
913#393—591no—
914#393—591no—
915#393—591no—
916#393—591no—
917#392—591no—
918#392—591no—
919#391—591no—
920#391—591no—
921#391—591no—
922#391—591no—
923#390—591no—
924#390—591no—
925#390—591no—
926#390—591no—
927#390—591no—
928#390—591no—
929#389—591no—
930#389—591no—
931#389—591no—
932#389—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#388—591no—
944#388—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#386C2×D5911yescharacteristic
960#386C2×D5911yescharacteristic
961#386C2×D5911yescharacteristic
962#386C2×D5911yescharacteristic
963#386C2×D5911yescharacteristic
964#386C2×D5911yescharacteristic
965#386C2×D5911yescharacteristic
966#386C2×D5911yescharacteristic
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#383—591no—
982#382—591no—
983#381—591no—
984#381—591no—
985#381—591no—
986#380—591no—
987#380—591no—
988#380—591no—
989#380—591no—
990#380—591no—
991#380—591no—
992#379—591no—
993#379—591no—
994#379—591no—
995#379—591no—
996#379—591no—
997#379—591no—
998C4×C22⋊C4—591no—
999C4×C22⋊C4—591no—
1000C4×C22⋊C4—591no—
1001C2×#95C2×D5911yescharacteristic
1002C2×#95C2×D5911yescharacteristic
1003C59#3679311yescharacteristic, complemented, Sylow
1004C25C22×D5911yescharacteristic
1005C25C22×D5911yescharacteristic
1006C22×Q8—591no—
1007C22×Q8—591no—
1008C22×Q8—591no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—591no—
1016C22×D4—591no—
1017C22×D4C22×D5911yescharacteristic
1018C22×D4C22×D5911yescharacteristic
1019C22×D4C22×D5911yescharacteristic
1020C22×D4C22×D5911yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—591no—
1025C23×C4C22×D5911yescharacteristic
1026C23×C4C22×D5911yescharacteristic
1027C23×C4C22×D5911yescharacteristic
1028C23×C4C22×D5911yescharacteristic
1029C23×C4C22×D5911yescharacteristic
1030C23×C4C22×D5911yescharacteristic
1031C23×C4C22×D5911yescharacteristic
1032C23×C4C22×D5911yescharacteristic
1033C23×C4C22×D5911yescharacteristic
1034#126—2362no—
1035#126—2362no—
1036#124—2362no—
1037#124—2362no—
1038#124—2362no—
1039#124—2362no—
1040#123—2362no—
1041#123—2362no—
1042C22⋊Q8—1184no—
1043C22⋊Q8—2362no—
1044C22⋊Q8—2362no—
1045C22⋊Q8—2362no—
1046C22⋊Q8—2362no—
1047#121—2362no—
1048#121—2362no—
1049#120—2362no—
1050#120—2362no—
1051C4×D4—1184no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—42no—
1082C2×C22⋊C4—42no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
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—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⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C22⋊C4C22×D5911yescharacteristic
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C42—591no—
1140C2×C42—591no—
1141C2×C42—591no—
1142C2×C42—591no—
1143C2×C42—591no—
1144C2×C42—591no—
1145C2×C42—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180#95C22×D5911yescharacteristic
1181#95C22×D5911yescharacteristic
1182#95C22×D5911yescharacteristic
1183#95C22×D5911yescharacteristic
1184#95C22×D5911yescharacteristic
1185#95C22×D5911yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—591no—
1201C24C23×D5911yescharacteristic
1202C24C23×D5911yescharacteristic
1203C24C23×D5911yescharacteristic
1204C24C23×D5911yescharacteristic
1205C24C23×D5911yescharacteristic
1206C2×Q8—1182no—
1207C2×Q8—1182no—
1208C2×Q8—2361no—
1209C2×Q8—2361no—
1210C2×Q8—2361no—
1211C2×Q8—2361no—
1212C2×Q8—2361no—
1213C2×Q8—2361no—
1214C2×Q8—2361no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—416no—
1228C2×D4—1182no—
1229C2×D4—1182no—
1230C2×D4—1182no—
1231C2×D4—1182no—
1232C2×D4—1182no—
1233C2×D4—2361no—
1234C2×D4—2361no—
1235C2×D4—2361no—
1236C2×D4—2361no—
1237C2×D4—2361no—
1238C2×D4—2361no—
1239C2×D4—2361no—
1240C2×D4—2361no—
1241C2×D4—2361no—
1242C2×D4—2361no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—416no—
1270C22×C4—591no—
1271C22×C4—591no—
1272C22×C4—591no—
1273C22×C4—591no—
1274C22×C4—591no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—1182no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4#1174568514yes—
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C22×C4C23×D5911yescharacteristic
1294C22×C4C23×D5911yescharacteristic
1295C22×C4C23×D5911yescharacteristic
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4—2361no—
1321C4⋊C4—2361no—
1322C4⋊C4—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—1182no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4—2361no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C42—1182no—
1384C42—2361no—
1385C42—2361no—
1386C42—2361no—
1387C42—2361no—
1388C42—2361no—
1389C42—2361no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—1181no—
1435C23—1181no—
1436C23—1181no—
1437C23—1181no—
1438C23—1181no—
1439C23—1181no—
1440C23—1181no—
1441C23C2×#1174568512yes—
1442C23#1427377212yes—
1443C23#1427377212yes—
1444C23#1427377212yes—
1445C23#1427377412yes—
1446C23C24×D5911yescharacteristic
1447Q8—4722no—
1448Q8—4722no—
1449Q8—4722no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—4722no—
1455D4—4722no—
1456D4—4722no—
1457D4—4722no—
1458D4—2364no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
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—4722no—
1541C2×C4C2×#1174568512yes—
1542C2×C4C2×#1174568512yes—
1543C2×C4#1427377212yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—2361no—
1581C22—2361no—
1582C22—2361no—
1583C22—2361no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22#1683801714yes—
1588C22C22×#1174568511yescharacteristic
1589C22C2×#1427377211yescharacteristic
1590C22C2×#1427377211yescharacteristic
1591C22C2×#1427377211yescharacteristic
1592C22C2×#1427377211yescharacteristic
1593C22C2×#1427377411yescharacteristic
1594C22#1683823811yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C4—2361no—
1610C4—2361no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C4—2361no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4—2361no—
1619C4—2361no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—4721no—
1626C2C2×#1683801711yescharacteristic
1627C2#2143778511yescharacteristic
1628C2#2143794811yescharacteristic
1629C2#2143825111yescharacteristic
1630C2#2143828611yescharacteristic
1631C2#2143830911yescharacteristic
1632C2#2143831811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#386C2
prime radical#21427446C2
hypercenterC2×#386D59
hypocenterC59#36793
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #21432388C2semidirect
2. #21432383C2semidirect
3. #21431938C2semidirect
4. #21431483C2semidirect
5. #21431427C2semidirect
6. #21431349C2semidirect
7. #21431155C2semidirect
8. #21431094C2semidirect
9. #21431018C2semidirect
10. #21430902C2semidirect
11. #21430863C2semidirect
12. #21430838C2semidirect
13. #21430773C2semidirect
14. #21430712C2semidirect
15. #21430698C2semidirect
16. #21430572C2semidirect
17. #21430497C2semidirect
18. #21430351C2semidirect
19. #21429901C2semidirect
20. #21429869C2semidirect
21. #21429276C2semidirect
22. #21429107C2semidirect
23. #21428336C2semidirect
24. #21428336C2semidirect
25. #21428216C2semidirect
26. #21428216C2semidirect
27. #21427743C2semidirect
29. #21426829C2semidirect
30. #21426730C2semidirect
31. C2×C59×#386C2semidirect
32. C2×#14273720C22semidirect
33. C2×#14273720C22semidirect
36. C2×#14273713C22semidirect
37. C2×#14273713C22semidirect
38. C2×#14273710C22semidirect
39. C2×#14273710C22semidirect
43. C2×#14273706C22semidirect
44. C2×#14273706C22semidirect
50. #16837342C22semidirect
51. #16837339C22semidirect
52. #16837338C22semidirect
53. #16837338C22semidirect
54. #16837336C22semidirect
55. #16837336C22semidirect
56. #16837330C22semidirect
57. #16837330C22semidirect
58. #16837330C22semidirect
59. #16837330C22semidirect
60. #16837330C22semidirect
61. #16837330C22semidirect
62. #16837330C22semidirect
63. #16837330C22semidirect
64. #16837330C22semidirect
65. #16837330C22semidirect
66. #16837327C22semidirect
67. #16837327C22semidirect
68. #16837325C22semidirect
69. #16837325C22semidirect
70. #16837325C22semidirect
71. #16837325C22semidirect
72. #16837325C22semidirect
73. #16837325C22semidirect
74. #16837323C22semidirect
75. #16837323C22semidirect
76. #16837323C22semidirect
77. #16837318C22semidirect
78. #16837318C22semidirect
79. #16837317C22semidirect
80. #16837317C22semidirect
81. #16837317C22semidirect
82. #16837317C22semidirect
83. #16837317C22semidirect
84. #16837317C22semidirect
91. #16837315C22semidirect
92. #16837314C22semidirect
93. #16837314C22semidirect
94. #16837314C22semidirect
95. #16837314C22semidirect
98. #16837306C22semidirect
99. #16837306C22semidirect
100. #16837306C22semidirect
101. #16837306C22semidirect
106. #16837302C22semidirect
107. #16837302C22semidirect
108. #16837299C22semidirect
109. #16837299C22semidirect
110. #16837299C22semidirect
111. #16837299C22semidirect
112. #16837296C22semidirect
113. #16837296C22semidirect
114. #16837295C22semidirect
115. #16837295C22semidirect
116. #16837295C22semidirect
117. #16837295C22semidirect
118. #16837291C22semidirect
119. #16837291C22semidirect
120. #16837290C22semidirect
121. #16837290C22semidirect
122. #16837290C22semidirect
123. #16837290C22semidirect
124. #16837289C22semidirect
125. #16837289C22semidirect
126. #16837287C22semidirect
127. #16837287C22semidirect
128. #16837285C22semidirect
129. #16837285C22semidirect
130. #16837284C22semidirect
131. #16837284C22semidirect
136. #16837281C22semidirect
137. #16837281C22semidirect
138. #16837276C22semidirect
139. #16837276C22semidirect
146. #16837275C22semidirect
147. #16837275C22semidirect
148. #16837275C22semidirect
149. #16837275C22semidirect
150. #16837275C22semidirect
151. #16837275C22semidirect
152. #16837269C22semidirect
153. #16837266C22semidirect
154. #16837265C22semidirect
155. #16837265C22semidirect
156. #16837264C22semidirect
160. #16837262C22semidirect
161. #16837262C22semidirect
162. #16837261C22semidirect
834. C2×#386D59semidirect
1003. C59#36793semidirect

Maximal subgroups

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

subgroupindex
#214323882
#214323832
#214319382
#214314832
#214314272
#214313492
#214311552
#214310942
#214310182
#214309022
#214308632
#214308382
#214307732
#214307122
#214306982
#214305722
#214304972
#214303512
#214299012
#214298692
#214292762
#214291072
#214283362
#214282162
#214277432
#214274462
#214268292
#214267302
C2×C59×#3862
#3679359