Finite Group Databasebeta

← #26424621

Subgroups — #26424621

Order 12032.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251680C211yesmaximal, characteristic, complemented
2#20251009C211yesmaximal, characteristic, complemented
3#20251002C211yesmaximal, characteristic, complemented
4#20250764C211yesmaximal, characteristic, complemented
5#20250627C211yesmaximal, characteristic, complemented
6#20250615C211yesmaximal, characteristic, complemented
7#20250614C211yesmaximal, characteristic, complemented
8#20250523C211yesmaximal, characteristic, complemented
9#20250034C211yesmaximal, characteristic, complemented
10#20249952C211yesmaximal, characteristic, complemented
11#20249938C211yesmaximal, characteristic, complemented
12#20249822C211yesmaximal, characteristic, complemented
13#20249820C211yesmaximal, characteristic, complemented
14#20249767C211yesmaximal, characteristic, complemented
15#20249716C211yesmaximal, characteristic, complemented
16#20249683C211yesmaximal, characteristic, complemented
17#20249591C211yesmaximal, characteristic, complemented
18#20249343C211yesmaximal, characteristic, complemented
19#20249318C211yesmaximal, characteristic, complemented
20#20247944C211yesmaximal, characteristic, complemented
21#20247513C211yesmaximal, characteristic, complemented
22#20247134C211yesmaximal, characteristic, complemented
23#20247056C211yesmaximal, characteristic, complemented
24#20246928C211yesmaximal, characteristic, complemented
25#20246759C211yesmaximal, characteristic, complemented
26#20246758C211yesmaximal, characteristic, complemented
27#20246699C211yesmaximal, characteristic, complemented
28#20246051C211yesmaximal, characteristic, complemented
29#20245962C211yesmaximal, characteristic, complemented
30C2×#15689002C211yesmaximal, characteristic, complemented
31C47×#2847C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C2×#13094011C2211yescharacteristic, complemented
35C2×#13094007C2211yescharacteristic, complemented
36C2×#13094007C2211yescharacteristic, complemented
37C2×#13094002C2211yescharacteristic, complemented
38C2×#13094001C2211yescharacteristic, complemented
39C2×#13093996C2211yescharacteristic
40C2×#13093996C2211yescharacteristic, complemented
41C2×#13093995C2211yescharacteristic, complemented
42C2×#13093995C2211yescharacteristic, complemented
43C2×#13093993C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×#13093992C2211yescharacteristic, complemented
48C2×D4×Dic47C2211yescharacteristic, complemented
49C22×C22⋊Dic47C2211yescharacteristic, complemented
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C22×(C2×D47)⋊C4C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C47⋊#401C2211yescharacteristic, complemented
54C47⋊#401C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689065C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689064C2211yescharacteristic, complemented
59#15689063C2211yescharacteristic, complemented
60#15689062C2211yescharacteristic, complemented
61#15689062C2211yescharacteristic, complemented
62#15689058C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689051C2211yescharacteristic, complemented
66#15689051C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic, complemented
68#15689050C2211yescharacteristic, complemented
69#15689049C2211yescharacteristic, complemented
70#15689048C2211yescharacteristic, complemented
71#15689048C2211yescharacteristic, complemented
72#15689048C2211yescharacteristic, complemented
73#15689047C2211yescharacteristic, complemented
74#15689046C2211yescharacteristic, complemented
75#15689046C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689040C2211yescharacteristic, complemented
78#15689039C2211yescharacteristic
79#15689039C2211yescharacteristic
80#15689039C2211yescharacteristic, complemented
81#15689039C2211yescharacteristic, complemented
82#15689038C2211yescharacteristic, complemented
83#15689038C2211yescharacteristic, complemented
84#15689037C2211yescharacteristic, complemented
85#15689037C2211yescharacteristic, complemented
86#15689037C2211yescharacteristic, complemented
87#15689037C2211yescharacteristic, complemented
88#15689036C2211yescharacteristic, complemented
89#15689036C2211yescharacteristic, complemented
90#15689035C2211yescharacteristic, complemented
91#15689035C2211yescharacteristic, complemented
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689032C2211yescharacteristic, complemented
95#15689031C2211yescharacteristic
96#15689031C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic, complemented
100#15689031C2211yescharacteristic, complemented
101#15689026C2211yescharacteristic, complemented
102#15689023C2211yescharacteristic, complemented
103#15689023C2211yescharacteristic, complemented
104#15689023C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689015C2211yescharacteristic, complemented
109#15689015C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic, complemented
111#15689013C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic, complemented
113#15689012C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic, complemented
115#15689009C2211yescharacteristic, complemented
116#15689004C2211yescharacteristic, complemented
117#15689003C2211yescharacteristic
118#15689003C2211yescharacteristic
119#15689003C2211yescharacteristic
120#15689003C2211yescharacteristic, complemented
121#15689003C2211yescharacteristic, complemented
122#15689003C2211yescharacteristic, complemented
123#15689002C2211yescharacteristic
124#15689002C2211yescharacteristic
125#15689002C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689002C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic, complemented
130#15689002C2211yescharacteristic, complemented
131#15689002C2211yescharacteristic, complemented
132#15689002C2211yescharacteristic, complemented
133#15689002C2211yescharacteristic, complemented
134#15689002C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689001C2211yescharacteristic, complemented
137#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic, complemented
140#15689000C2211yescharacteristic, complemented
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688999C2211yescharacteristic, complemented
148#15688998C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic, complemented
152#15688996C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic, complemented
154#15688995C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688990C2211yescharacteristic, complemented
158#15688986C2211yescharacteristic, complemented
159#15688986C2211yescharacteristic, complemented
160#15688985C2211yescharacteristic, complemented
161#15688985C2211yescharacteristic, complemented
162#15688984C2211yescharacteristic, complemented
163#15688982C2211yescharacteristic, complemented
164#15688979C2211yescharacteristic, complemented
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169C22⋊C4×Dic47C2211yescharacteristic, complemented
170C2×C47⋊#95C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172C24×C4×C47C2211yescharacteristic, complemented
173C2×#121×C47C2211yescharacteristic
174C2×#121×C47C2211yescharacteristic, complemented
175C2×#121×C47C2211yescharacteristic, complemented
176C2×#120×C47C2211yescharacteristic
177C2×#120×C47C2211yescharacteristic, complemented
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic, complemented
185C47×#380C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—42no—
193C22×C22⋊D47—42no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C2×D4×D47—24no—
206C2×D4×D47—42no—
207C2×D4×D47—42no—
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215#13094011—42no—
216#13094007—42no—
217#13094007—42no—
218#13094002—42no—
219#13094001—42no—
220#13093996—42no—
221#13093996—42no—
222#13093995—42no—
223#13093995—42no—
224#13093993—42no—
225#13093992—24no—
226#13093992—42no—
227#13093992—42no—
228#13093992—42no—
229D4×Dic47—42no—
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×C22⋊Dic47—42no—
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×(C2×D47)⋊C4—42no—
268C2×(C2×D47)⋊C4—42no—
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C22⋊C4×D47—42no—
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C25×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C22×D4×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C23×C4×C47—42no—
341C23×C4×C47—42no—
342C23×C4×C47—42no—
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C23×C4×C47C2311yescharacteristic
349#121×C47—42no—
350#121×C47—42no—
351#121×C47—42no—
352#120×C47—42no—
353#120×C47—42no—
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47—22no—
376C24×C47—22no—
377C24×C47—22no—
378C24×C47—22no—
379C24×C47—22no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47C2411yescharacteristic
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47#4114yes—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—22no—
431C22×C4×C47—22no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47—41no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47—416no—
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—22no—
468C2×C22⋊D47—22no—
469C2×C22⋊D47—22no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C2×C22⋊D47—41no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C2×C22⋊D47—41no—
483C2×C22⋊D47—41no—
484C2×C22⋊D47—41no—
485C2×C22⋊D47—41no—
486C2×C22⋊D47—41no—
487C2×C22⋊D47—416no—
488C22×Dic47—22no—
489C22×Dic47—22no—
490C22×Dic47—22no—
491C22×Dic47—41no—
492C22×Dic47—41no—
493C22×Dic47—41no—
494C22×Dic47—41no—
495C22×Dic47—41no—
496C22×Dic47—41no—
497C22×Dic47—41no—
498C22×Dic47—41no—
499C22×Dic47—41no—
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C22×Dic47C2411yescharacteristic
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513D4×D47—416no—
514C2×D188—22no—
515C2×D188—41no—
516C2×D188—41no—
517C2×C4×D47—22no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47—41no—
521C2×C4×D47—41no—
522C2×C4×D47—41no—
523C2×C4×D47—41no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×Dic94—41no—
527C2×Dic94—41no—
528C2×Dic94—41no—
529C4⋊C4×C47—22no—
530C4⋊C4×C47—41no—
531C4⋊C4×C47—41no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47—41no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4—41no—
592C4⋊Dic47—41no—
593C4⋊Dic47—41no—
594C4⋊Dic47—41no—
595C4⋊Dic47—41no—
596Dic47⋊C4—22no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C4×Dic47—41no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—28no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—44no—
640C23×C47—44no—
641C23×C47—44no—
642C23×C47—44no—
643C23×C47—44no—
644C23×C47—44no—
645C23×C47C2×#4112yes—
646C23×C47H(5,𝔽2)12yes—
647C23×C47H(5,𝔽2)12yes—
648C23×C47H(5,𝔽2)12yes—
649C23×C47H(5,𝔽2)12yes—
650C23×C47C2511yescharacteristic
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—28no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—44no—
672C22×D47—44no—
673C22×D47—44no—
674C22×D47—82no—
675C22×D47—82no—
676C22×D47—82no—
677C22×D47—82no—
678C22×D47—82no—
679C22×D47—82no—
680C22×D47—82no—
681C22×D47—82no—
682C22×D47—82no—
683C22×D47—82no—
684C22×D47C2×#4112yes—
685C22×D47C2×#4112yes—
686D4×C47—44no—
687D4×C47—44no—
688D4×C47—82no—
689D4×C47—82no—
690D4×C47—82no—
691D4×C47—82no—
692D4×C47—82no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—44no—
723C2×C4×C47—44no—
724C2×C4×C47—44no—
725C2×C4×C47—44no—
726C2×C4×C47—44no—
727C2×C4×C47—44no—
728C2×C4×C47H(5,𝔽2)12yes—
729C22⋊D47—44no—
730C22⋊D47—44no—
731C22⋊D47—44no—
732C22⋊D47—44no—
733C22⋊D47—44no—
734C22⋊D47—44no—
735C22⋊D47—82no—
736C22⋊D47—82no—
737C22⋊D47—82no—
738C22⋊D47—82no—
739C22⋊D47—82no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—44no—
780C2×Dic47—82no—
781C2×Dic47—82no—
782C2×Dic47—82no—
783D188—44no—
784C4×D47—44no—
785C4×D47—82no—
786C4×D47—82no—
787Dic94—82no—
788#36776—471nomaximal, Sylow
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—22no—
796C22×C47—22no—
797C22×C47—22no—
798C22×C47—22no—
799C22×C47—22no—
800C22×C47—22no—
801C22×C47—416no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47#53814yes—
825C22×C47C22×#4111yescharacteristic
826C22×C47C2×H(5,𝔽2)11yescharacteristic
827C22×C47C2×H(5,𝔽2)11yescharacteristic
828C22×C47C2×H(5,𝔽2)11yescharacteristic
829C22×C47C2×H(5,𝔽2)11yescharacteristic
830C22×C47C2×H(5,𝔽2)11yescharacteristic
831C22×C47#58511yescharacteristic
832C2×D47—22no—
833C2×D47—22no—
834C2×D47—22no—
835C2×D47—22no—
836C2×D47—22no—
837C2×D47—22no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—88no—
854C2×D47—88no—
855C4×C47—22no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47—41no—
863C4×C47—41no—
864C4×C47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876Dic47—41no—
877Dic47—41no—
878#2849—471no—
879#2847D4711yescharacteristic, complemented
880#2778—471no—
881#2778—471no—
882#2760—471no—
883#2750—471no—
884#2749—471no—
885#2749—471no—
886#2743—471no—
887#2703—471no—
888#2697—471no—
889#2696—471no—
890#2688—471no—
891#2688—471no—
892#2684—471no—
893#2678—471no—
894#2676—471no—
895#2668—471no—
896#2643—471no—
897#2639—471no—
898#2510—471no—
899#2472—471no—
900#2444—471no—
901#2437—471no—
902#2424—471no—
903#2410—471no—
904#2410—471no—
905#2403—471no—
906#2321—471no—
907#2308—471no—
908C2×#386—471no—
909C2×C47—24no—
910C2×C47—42no—
911C2×C47—42no—
912C2×C47—81no—
913C2×C47—81no—
914C2×C47C2×#53811yescharacteristic
915C2×C47#349011yescharacteristic
916C2×C47#350511yescharacteristic
917C2×C47#353211yescharacteristic
918C2×C47#353411yescharacteristic
919C2×C47#353411yescharacteristic
920C2×C47#353711yescharacteristic
921D47—42no—
922D47—42no—
923D47—81no—
924C23×D4—471no—
925C23×D4—471no—
926C24×C4C2×D4711yescharacteristic, complemented
927C2×#124—471no—
928C2×#123—471no—
929C2×#123—471no—
930C2×C22⋊Q8—471no—
931C2×C22⋊Q8—471no—
932C2×#121—471no—
933C2×#121—471no—
934C2×#121—471no—
935C2×#121—471no—
936C2×#121C2×D4711yescharacteristic
937C2×#121C2×D4711yescharacteristic, complemented
938C2×#121C2×D4711yescharacteristic, complemented
939C2×#120—471no—
940C2×#120—471no—
941C2×#120—471no—
942C2×#120—471no—
943C2×#120—471no—
944C2×#120C2×D4711yescharacteristic
945C2×#120C2×D4711yescharacteristic, complemented
946C2×C4×D4—471no—
947C22×C22⋊C4—471no—
948C22×C22⋊C4—471no—
949C22×C22⋊C4—471no—
950C22×C22⋊C4—471no—
951#401—471no—
952#401—471no—
953#400—471no—
954#400—471no—
955#400—471no—
956#400—471no—
957#400—471no—
958#400—471no—
959#400—471no—
960#399—471no—
961#397—471no—
962#397—471no—
963#397—471no—
964#397—471no—
965#397—471no—
966#397—471no—
967#397—471no—
968#397—471no—
969#397—471no—
970#397—471no—
971#396—471no—
972#396—471no—
973#396—471no—
974#396—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394—471no—
981#394—471no—
982#394—471no—
983#394—471no—
984#394—471no—
985#394—471no—
986#393—471no—
987#393—471no—
988#393—471no—
989#393—471no—
990#392—471no—
991#392—471no—
992#392—471no—
993#392—471no—
994#392—471no—
995#392—471no—
996#392—471no—
997#392—471no—
998#392—471no—
999#390—471no—
1000#390—471no—
1001#390—471no—
1002#390—471no—
1003#388—471no—
1004#388—471no—
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#388—471no—
1009#388—471no—
1010#388—471no—
1011#388—471no—
1012#388—471no—
1013#387—471no—
1014#387—471no—
1015#386—471no—
1016#386—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386—471no—
1036#386—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386—471no—
1043#386—471no—
1044#386—471no—
1045#386—471no—
1046#386C2×D4711yescharacteristic
1047#386C2×D4711yescharacteristic, complemented
1048#386C2×D4711yescharacteristic, complemented
1049#386C2×D4711yescharacteristic, complemented
1050#386C2×D4711yescharacteristic, complemented
1051#386C2×D4711yescharacteristic, complemented
1052#385—471no—
1053#385—471no—
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385—471no—
1059#385—471no—
1060#385—471no—
1061#383—471no—
1062#381—471no—
1063#381—471no—
1064#381—471no—
1065#381—471no—
1066#381—471no—
1067#380—471no—
1068#380C2×D4711yescharacteristic, complemented
1069#380C2×D4711yescharacteristic, complemented
1070#380C2×D4711yescharacteristic, complemented
1071#379—471no—
1072#379—471no—
1073#379—471no—
1074#379—471no—
1075#379—471no—
1076C4×C22⋊C4—471no—
1077C2×#95—471no—
1078C2×#95—471no—
1079C47#3677611yescharacteristic, complemented, Sylow
1080C25—471no—
1081C25—471no—
1082C25C22×D4711yescharacteristic
1083C22×Q8—471no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—471no—
1091C22×D4—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—471no—
1095C22×D4—471no—
1096C22×D4—944no—
1097C22×D4—944no—
1098C22×D4—1882no—
1099C22×D4—1882no—
1100C22×D4—1882no—
1101C22×D4—1882no—
1102C22×D4C22×D4711yescharacteristic
1103C22×D4C22×D4711yescharacteristic
1104C22×D4C22×D4711yescharacteristic
1105C22×D4C22×D4711yescharacteristic
1106C22×D4C22×D4711yescharacteristic
1107C22×D4C22×D4711yescharacteristic
1108C22×D4C22×D4711yescharacteristic
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4—471no—
1113C23×C4—471no—
1114C23×C4—471no—
1115C23×C4—471no—
1116C23×C4—471no—
1117C23×C4—471no—
1118C23×C4—471no—
1119C23×C4C22×D4711yescharacteristic
1120C23×C4C22×D4711yescharacteristic
1121C23×C4C22×D4711yescharacteristic
1122C23×C4C22×D4711yescharacteristic
1123C23×C4C22×D4711yescharacteristic
1124C23×C4C22×D4711yescharacteristic
1125#124—1882no—
1126#123—1882no—
1127#123—1882no—
1128C22⋊Q8—1882no—
1129C22⋊Q8—1882no—
1130#121—42no—
1131#121—42no—
1132#121—42no—
1133#121—1882no—
1134#121—1882no—
1135#121—1882no—
1136#121—1882no—
1137#120—42no—
1138#120—42no—
1139#120—944no—
1140#120—1882no—
1141#120—1882no—
1142#120—1882no—
1143#120—1882no—
1144C4×D4—1882no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4C22×D4711yescharacteristic
1159C2×C4⋊C4C22×D4711yescharacteristic
1160C2×C4⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—1882no—
1210C2×C22⋊C4—1882no—
1211C2×C22⋊C4—1882no—
1212C2×C22⋊C4—1882no—
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C22⋊C4C22×D4711yescharacteristic
1220C2×C22⋊C4C22×D4711yescharacteristic
1221C2×C22⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C22⋊C4C22×D4711yescharacteristic
1224C2×C22⋊C4C22×D4711yescharacteristic
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95—471no—
1260#95—471no—
1261#95—471no—
1262#95C22×D4711yescharacteristic
1263#95C22×D4711yescharacteristic
1264#95C22×D4711yescharacteristic
1265#95C22×D4711yescharacteristic
1266#95C22×D4711yescharacteristic
1267#95C22×D4711yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—41no—
1274C24—41no—
1275C24—471no—
1276C24—471no—
1277C24—474no—
1278C24—471no—
1279C24—942no—
1280C24—942no—
1281C24—942no—
1282C24—1881no—
1283C24—1881no—
1284C24—1881no—
1285C24—1881no—
1286C24—1881no—
1287C24—1881no—
1288C24—1881no—
1289C24—1881no—
1290C24—1881no—
1291C24—1881no—
1292C24C23×D4711yescharacteristic
1293C24C23×D4711yescharacteristic
1294C24C23×D4711yescharacteristic
1295C24C23×D4711yescharacteristic
1296C24C23×D4711yescharacteristic
1297C2×Q8—1881no—
1298C2×Q8—1881no—
1299C2×Q8—1881no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—942no—
1325C2×D4—942no—
1326C2×D4—942no—
1327C2×D4—942no—
1328C2×D4—942no—
1329C2×D4—942no—
1330C2×D4—942no—
1331C2×D4—942no—
1332C2×D4—942no—
1333C2×D4—942no—
1334C2×D4—942no—
1335C2×D4—942no—
1336C2×D4—942no—
1337C2×D4—942no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C2×D4—1881no—
1348C2×D4—1881no—
1349C2×D4—1881no—
1350C2×D4—1881no—
1351C2×D4—1881no—
1352C2×D4—1881no—
1353C2×D4—1881no—
1354C2×D4—1881no—
1355C2×D4—1881no—
1356C2×D4—1881no—
1357C2×D4—18816no—
1358C2×D4—18816no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—416no—
1378C22×C4—471no—
1379C22×C4—471no—
1380C22×C4—471no—
1381C22×C4—471no—
1382C22×C4—471no—
1383C22×C4—471no—
1384C22×C4—471no—
1385C22×C4—471no—
1386C22×C4—471no—
1387C22×C4—471no—
1388C22×C4—471no—
1389C22×C4—471no—
1390C22×C4—471no—
1391C22×C4—942no—
1392C22×C4—942no—
1393C22×C4—942no—
1394C22×C4—942no—
1395C22×C4—1881no—
1396C22×C4—1881no—
1397C22×C4—1881no—
1398C22×C4—1881no—
1399C22×C4—1881no—
1400C22×C4—1881no—
1401C22×C4—1881no—
1402C22×C4—1881no—
1403C22×C4—1881no—
1404C22×C4—1881no—
1405C22×C4—1881no—
1406C22×C4—1881no—
1407C22×C4—1881no—
1408C22×C4—1881no—
1409C22×C4—1881no—
1410C22×C4—1881no—
1411C22×C4—1881no—
1412C22×C4C23×D4711yescharacteristic
1413C22×C4C23×D4711yescharacteristic
1414C22×C4C23×D4711yescharacteristic
1415C22×C4C23×D4711yescharacteristic
1416C22×C4C23×D4711yescharacteristic
1417C22×C4C23×D4711yescharacteristic
1418C22×C4C23×D4711yescharacteristic
1419C22×C4C23×D4711yescharacteristic
1420C22×C4C23×D4711yescharacteristic
1421C22×C4C23×D4711yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—942no—
1426C4⋊C4—1881no—
1427C4⋊C4—1881no—
1428C4⋊C4—1881no—
1429C4⋊C4—1881no—
1430C4⋊C4—1881no—
1431C4⋊C4—1881no—
1432C4⋊C4—1881no—
1433C4⋊C4—1881no—
1434C4⋊C4—1881no—
1435C4⋊C4—1881no—
1436C4⋊C4—1881no—
1437C4⋊C4—1881no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
1458C22⋊C4—942no—
1459C22⋊C4—942no—
1460C22⋊C4—942no—
1461C22⋊C4—942no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C22⋊C4—1881no—
1489C22⋊C4—1881no—
1490C22⋊C4—1881no—
1491C22⋊C4—1881no—
1492C22⋊C4—1881no—
1493C22⋊C4—1881no—
1494C22⋊C4—1881no—
1495C22⋊C4—1881no—
1496C22⋊C4—1881no—
1497C22⋊C4—1881no—
1498C42—1881no—
1499C42—1881no—
1500C42—1881no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—472no—
1539C23—472no—
1540C23—948no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—941no—
1551C23—941no—
1552C23—941no—
1553C23—941no—
1554C23—941no—
1555C23—941no—
1556C23—941no—
1557C23—941no—
1558C23—941no—
1559C23—941no—
1560C23—3762no—
1561C23—3762no—
1562C23—3762no—
1563C23—3762no—
1564C23—3762no—
1565C23—3762no—
1566C23—3762no—
1567C23—3762no—
1568C23—3762no—
1569C23—3762no—
1570C23—1884no—
1571C23—1884no—
1572C23—1884no—
1573C23#41×D4712yes—
1574C23#1309406912yes—
1575C23#1309406912yes—
1576C23#1309406912yes—
1577C23#1309407012yes—
1578C23C24×D4711yescharacteristic
1579Q8—3762no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—82no—
1587D4—3762no—
1588D4—3762no—
1589D4—3762no—
1590D4—3762no—
1591D4—3762no—
1592D4—1884no—
1593D4—1884no—
1594D4—1884no—
1595D4—1884no—
1596D4—1884no—
1597D4—1884no—
1598D4—1884no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—941no—
1657C2×C4—941no—
1658C2×C4—941no—
1659C2×C4—941no—
1660C2×C4—941no—
1661C2×C4—941no—
1662C2×C4—941no—
1663C2×C4—941no—
1664C2×C4—941no—
1665C2×C4—941no—
1666C2×C4—941no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—3762no—
1674C2×C4—3762no—
1675C2×C4—3762no—
1676C2×C4—3762no—
1677C2×C4—3762no—
1678C2×C4—1884no—
1679C2×C4—1884no—
1680C2×C4#1309406912yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—416no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—942no—
1717C22—942no—
1718C22—942no—
1719C22—942no—
1720C22—942no—
1721C22—942no—
1722C22—3768no—
1723C22—3768no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—1881no—
1736C22—1881no—
1737C22—1881no—
1738C22—1881no—
1739C22#1568970514yes—
1740C22C2×#41×D4711yescharacteristic
1741C22C2×#1309406911yescharacteristic
1742C22C2×#1309406911yescharacteristic
1743C22C2×#1309406911yescharacteristic
1744C22C2×#1309406911yescharacteristic
1745C22C2×#1309407011yescharacteristic
1746C22#1568995911yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4—1881no—
1761C4—1881no—
1762C4—1881no—
1763C4—1881no—
1764C4—1881no—
1765C4—1881no—
1766C4—1881no—
1767C4—1881no—
1768C4—1881no—
1769C4—1881no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—3761no—
1776C2—1882no—
1777C2—1882no—
1778C2C2×#1568970511yescharacteristic
1779C2#2025707111yescharacteristic
1780C2#2025721611yescharacteristic
1781C2#2025754311yescharacteristic
1782C2#2025757211yescharacteristic
1783C2#2025757811yescharacteristic
1784C2#2025762311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2847C2
hypercenter#2847D47
hypocenterC47#36776
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #20251680C2semidirect
2. #20251009C2semidirect
3. #20251002C2semidirect
4. #20250764C2semidirect
5. #20250627C2semidirect
6. #20250615C2semidirect
7. #20250614C2semidirect
8. #20250523C2semidirect
9. #20250034C2semidirect
10. #20249952C2semidirect
11. #20249938C2semidirect
12. #20249822C2semidirect
13. #20249820C2semidirect
14. #20249767C2semidirect
15. #20249716C2semidirect
16. #20249683C2semidirect
17. #20249591C2semidirect
18. #20249343C2semidirect
19. #20249318C2semidirect
20. #20247944C2semidirect
21. #20247513C2semidirect
22. #20247134C2semidirect
23. #20247056C2semidirect
24. #20246928C2semidirect
25. #20246759C2semidirect
26. #20246758C2semidirect
27. #20246699C2semidirect
28. #20246051C2semidirect
29. #20245962C2semidirect
30. C2×#15689002C2semidirect
31. C47×#2847C2semidirect
34. C2×#13094011C22semidirect
35. C2×#13094007C22semidirect
36. C2×#13094007C22semidirect
37. C2×#13094002C22semidirect
38. C2×#13094001C22semidirect
40. C2×#13093996C22semidirect
41. C2×#13093995C22semidirect
42. C2×#13093995C22semidirect
47. C2×#13093992C22semidirect
48. C2×D4×Dic47C22semidirect
49. C22×C22⋊Dic47C22semidirect
53. C47⋊#401C22semidirect
54. C47⋊#401C22semidirect
55. #15689065C22semidirect
56. #15689065C22semidirect
57. #15689064C22semidirect
58. #15689064C22semidirect
59. #15689063C22semidirect
60. #15689062C22semidirect
61. #15689062C22semidirect
62. #15689058C22semidirect
63. #15689052C22semidirect
64. #15689051C22semidirect
65. #15689051C22semidirect
66. #15689051C22semidirect
67. #15689051C22semidirect
68. #15689050C22semidirect
69. #15689049C22semidirect
70. #15689048C22semidirect
71. #15689048C22semidirect
72. #15689048C22semidirect
73. #15689047C22semidirect
74. #15689046C22semidirect
75. #15689046C22semidirect
76. #15689045C22semidirect
77. #15689040C22semidirect
80. #15689039C22semidirect
81. #15689039C22semidirect
82. #15689038C22semidirect
83. #15689038C22semidirect
84. #15689037C22semidirect
85. #15689037C22semidirect
86. #15689037C22semidirect
87. #15689037C22semidirect
88. #15689036C22semidirect
89. #15689036C22semidirect
90. #15689035C22semidirect
91. #15689035C22semidirect
94. #15689032C22semidirect
99. #15689031C22semidirect
100. #15689031C22semidirect
101. #15689026C22semidirect
102. #15689023C22semidirect
103. #15689023C22semidirect
104. #15689023C22semidirect
105. #15689017C22semidirect
106. #15689017C22semidirect
107. #15689017C22semidirect
108. #15689015C22semidirect
109. #15689015C22semidirect
110. #15689015C22semidirect
111. #15689013C22semidirect
112. #15689012C22semidirect
113. #15689012C22semidirect
114. #15689011C22semidirect
115. #15689009C22semidirect
116. #15689004C22semidirect
120. #15689003C22semidirect
121. #15689003C22semidirect
122. #15689003C22semidirect
129. #15689002C22semidirect
130. #15689002C22semidirect
131. #15689002C22semidirect
132. #15689002C22semidirect
133. #15689002C22semidirect
134. #15689002C22semidirect
135. #15689001C22semidirect
136. #15689001C22semidirect
139. #15689000C22semidirect
140. #15689000C22semidirect
143. #15688999C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
147. #15688999C22semidirect
148. #15688998C22semidirect
149. #15688997C22semidirect
150. #15688996C22semidirect
151. #15688996C22semidirect
152. #15688996C22semidirect
153. #15688996C22semidirect
154. #15688995C22semidirect
155. #15688994C22semidirect
156. #15688994C22semidirect
157. #15688990C22semidirect
158. #15688986C22semidirect
159. #15688986C22semidirect
160. #15688985C22semidirect
161. #15688985C22semidirect
162. #15688984C22semidirect
163. #15688982C22semidirect
164. #15688979C22semidirect
166. #15688978C22semidirect
167. #15688978C22semidirect
168. #15688978C22semidirect
169. C22⋊C4×Dic47C22semidirect
170. C2×C47⋊#95C22semidirect
171. C2×C47⋊#95C22semidirect
172. C24×C4×C47C22semidirect
174. C2×#121×C47C22semidirect
175. C2×#121×C47C22semidirect
177. C2×#120×C47C22semidirect
179. C47×#386C22semidirect
180. C47×#386C22semidirect
181. C47×#386C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
184. C47×#380C22semidirect
185. C47×#380C22semidirect
186. C47×#380C22semidirect
879. #2847D47semidirect
926. C24×C4C2×D47semidirect
937. C2×#121C2×D47semidirect
938. C2×#121C2×D47semidirect
945. C2×#120C2×D47semidirect
1047. #386C2×D47semidirect
1048. #386C2×D47semidirect
1049. #386C2×D47semidirect
1050. #386C2×D47semidirect
1051. #386C2×D47semidirect
1068. #380C2×D47semidirect
1069. #380C2×D47semidirect
1070. #380C2×D47semidirect
1079. C47#36776semidirect

Maximal subgroups

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

subgroupindex
#202516802
#202510092
#202510022
#202507642
#202506272
#202506152
#202506142
#202505232
#202500342
#202499522
#202499382
#202498222
#202498202
#202497672
#202497162
#202496832
#202495912
#202493432
#202493182
#202479442
#202475132
#202471342
#202470562
#202469282
#202467592
#202467582
#202466992
#202460512
#202459622
C2×#156890022
C47×#28472
#3677647