Finite Group Databasebeta

← #26421961

Subgroups — #26421961

Order 12032.

1574 conjugacy classes of subgroups.

The subgroup lattice has 1246 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251747C211yesmaximal, characteristic
2#20251747C211yesmaximal, characteristic
3#20251747C211yesmaximal, characteristic
4#20248792C211yesmaximal, characteristic
5#20248790C211yesmaximal, characteristic
6#20248788C211yesmaximal, characteristic
7#20248786C211yesmaximal, characteristic
8#20248783C211yesmaximal, characteristic
9#20248781C211yesmaximal, characteristic
10#20248779C211yesmaximal, characteristic
11#20248621C211yesmaximal, characteristic
12#20248619C211yesmaximal, characteristic
13#20248617C211yesmaximal, characteristic
14#20248615C211yesmaximal, characteristic
15#20248418C211yesmaximal, characteristic
16#20248418C211yesmaximal, characteristic
17#20247248C211yesmaximal, characteristic
18#20247246C211yesmaximal, characteristic
19#20247244C211yesmaximal, characteristic
20#20247242C211yesmaximal, characteristic
21#20246487C211yesmaximal, characteristic
22#20246485C211yesmaximal, characteristic
23#20246481C211yesmaximal, characteristic
24#20246479C211yesmaximal, characteristic
25#20246342C211yesmaximal, characteristic
26#20246342C211yesmaximal, characteristic
27#20245945C211yesmaximal, characteristic
28#20245945C211yesmaximal, characteristic
29C4×#13094014C211yesmaximal, characteristic
30C4×#13093989C211yesmaximal, characteristic
31C47×#2585C211yesmaximal, characteristic
32C2×#13094014C2211yescharacteristic
33C2×#13094014C2211yescharacteristic
34C2×#13094014C2211yescharacteristic
35C2×#13094014C2211yescharacteristic
36C2×#13094014C2211yescharacteristic
37C2×#13094014C2211yescharacteristic
38C2×#13094014C2211yescharacteristic
39C2×C4×Dic94C2211yescharacteristic
40C2×#13093989C2211yescharacteristic
41C2×#13093989C2211yescharacteristic
42#15689065C2211yescharacteristic
43#15689065C2211yescharacteristic
44#15689064C2211yescharacteristic
45#15689064C2211yescharacteristic
46#15689063C2211yescharacteristic
47#15689062C2211yescharacteristic
48#15689061C2211yescharacteristic
49#15689057C2211yescharacteristic
50#15689057C2211yescharacteristic
51#15689057C2211yescharacteristic
52#15689057C2211yescharacteristic
53#15689056C2211yescharacteristic
54#15689056C2211yescharacteristic
55#15689056C2211yescharacteristic
56#15689056C2211yescharacteristic
57#15689055C2211yescharacteristic
58#15689055C2211yescharacteristic
59#15689055C2211yescharacteristic
60#15689054C2211yescharacteristic
61#15689053C2211yescharacteristic
62#15689027C2211yescharacteristic
63#15689027C2211yescharacteristic
64#15689027C2211yescharacteristic
65#15689027C2211yescharacteristic
66#15689022C2211yescharacteristic
67#15689022C2211yescharacteristic
68#15689022C2211yescharacteristic
69#15689021C2211yescharacteristic
70#15689021C2211yescharacteristic
71#15689021C2211yescharacteristic
72#15689020C2211yescharacteristic
73#15689020C2211yescharacteristic
74#15689020C2211yescharacteristic
75#15689020C2211yescharacteristic
76#15689020C2211yescharacteristic
77#15689020C2211yescharacteristic
78#15689020C2211yescharacteristic
79#15689020C2211yescharacteristic
80#15689020C2211yescharacteristic
81#15689020C2211yescharacteristic
82#15689020C2211yescharacteristic
83#15689019C2211yescharacteristic
84#15689019C2211yescharacteristic
85#15689019C2211yescharacteristic
86#15689018C2211yescharacteristic
87#15689018C2211yescharacteristic
88#15689018C2211yescharacteristic
89#15689018C2211yescharacteristic
90#15689018C2211yescharacteristic
91#15689018C2211yescharacteristic
92#15689018C2211yescharacteristic
93#15689018C2211yescharacteristic
94#15689018C2211yescharacteristic
95#15689018C2211yescharacteristic
96#15689018C2211yescharacteristic
97#15689010C2211yescharacteristic
98#15689010C2211yescharacteristic
99#15689010C2211yescharacteristic
100#15689010C2211yescharacteristic
101#15689010C2211yescharacteristic
102#15689010C2211yescharacteristic
103#15689009C2211yescharacteristic
104#15689009C2211yescharacteristic
105#15689009C2211yescharacteristic
106#15689009C2211yescharacteristic
107#15689009C2211yescharacteristic
108#15689008C2211yescharacteristic
109#15689008C2211yescharacteristic
110#15689008C2211yescharacteristic
111#15689007C2211yescharacteristic
112#15689007C2211yescharacteristic
113#15689007C2211yescharacteristic
114#15689007C2211yescharacteristic
115#15689006C2211yescharacteristic
116#15689006C2211yescharacteristic
117#15689006C2211yescharacteristic
118#15689006C2211yescharacteristic
119#15689005C2211yescharacteristic
120#15689005C2211yescharacteristic
121#15689005C2211yescharacteristic
122#15689004C2211yescharacteristic
123#15689004C2211yescharacteristic
124#15689004C2211yescharacteristic
125#15689004C2211yescharacteristic
126#15689004C2211yescharacteristic
127#15688992C2211yescharacteristic
128#15688992C2211yescharacteristic
129#15688992C2211yescharacteristic
130#15688992C2211yescharacteristic
131#15688992C2211yescharacteristic
132#15688992C2211yescharacteristic
133#15688987C2211yescharacteristic
134#15688987C2211yescharacteristic
135#15688987C2211yescharacteristic
136#15688987C2211yescharacteristic
137#15688987C2211yescharacteristic
138#15688987C2211yescharacteristic
139#15688987C2211yescharacteristic
140C4⋊C4×Dic47C2211yescharacteristic
141C4⋊C4×Dic47C2211yescharacteristic
142C4⋊C4×Dic47C2211yescharacteristic
143C4⋊C4×Dic47C2211yescharacteristic
144C4⋊C4×Dic47C2211yescharacteristic
145C4⋊C4×Dic47C2211yescharacteristic
146C4×Dic47⋊C4C2211yescharacteristic
147C4×Dic47⋊C4C2211yescharacteristic
148C4×Dic47⋊C4C2211yescharacteristic
149C4×Dic47⋊C4C2211yescharacteristic
150C4×Dic47⋊C4C2211yescharacteristic
151C4×Dic47⋊C4C2211yescharacteristic
152C4×Dic47⋊C4C2211yescharacteristic
153C4×Dic47⋊C4C2211yescharacteristic
154C4×C4⋊Dic47C2211yescharacteristic
155#15688974C2211yescharacteristic
156#15688974C2211yescharacteristic
157#15688974C2211yescharacteristic
158#15688974C2211yescharacteristic
159#15688974C2211yescharacteristic
160#15688974C2211yescharacteristic
161#15688974C2211yescharacteristic
162#15688974C2211yescharacteristic
163#15688974C2211yescharacteristic
164#15688974C2211yescharacteristic
165#15688974C2211yescharacteristic
166#15688974C2211yescharacteristic
167#15688974C2211yescharacteristic
168#15688974C2211yescharacteristic
169C42×Dic47C2211yescharacteristic
170C42×Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C47×#400C2211yescharacteristic
173C47×#398C2211yescharacteristic
174C47×#398C2211yescharacteristic
175C47×#398C2211yescharacteristic
176C47×#389C2211yescharacteristic
177C47×#389C2211yescharacteristic
178C47×#389C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#387C2211yescharacteristic
182C47×#387C2211yescharacteristic
183C47×#387C2211yescharacteristic
184C47×#387C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic
186C4×C4⋊C4×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188#13094014—24no—
189#13094014—24no—
190#13094014—24no—
191#13094014—24no—
192#13094014—24no—
193#13094014—24no—
194#13094014—24no—
195C4×Dic94—24no—
196#13093989—24no—
197#13093989Q818yes—
198C2×C4⋊Dic47C2311yescharacteristic
199C2×C4⋊Dic47C2311yescharacteristic
200C2×C4⋊Dic47C2311yescharacteristic
201C2×C4⋊Dic47C2311yescharacteristic
202C2×C4⋊Dic47C2311yescharacteristic
203C2×C4⋊Dic47C2311yescharacteristic
204C2×C4⋊Dic47C2311yescharacteristic
205C2×C4⋊Dic47C2311yescharacteristic
206C2×C4⋊Dic47C2311yescharacteristic
207C2×C4⋊Dic47C2311yescharacteristic
208C2×C4⋊Dic47C2311yescharacteristic
209C2×C4⋊Dic47C2311yescharacteristic
210C2×C4⋊Dic47C2311yescharacteristic
211C2×Dic47⋊C4C2311yescharacteristic
212C2×Dic47⋊C4C2311yescharacteristic
213C2×Dic47⋊C4C2311yescharacteristic
214C2×Dic47⋊C4C2311yescharacteristic
215C2×Dic47⋊C4C2311yescharacteristic
216C2×Dic47⋊C4C2311yescharacteristic
217C2×Dic47⋊C4C2311yescharacteristic
218C2×Dic47⋊C4C2311yescharacteristic
219C2×Dic47⋊C4C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×C4×Dic47C2311yescharacteristic
250C2×C4×Dic47C2311yescharacteristic
251C2×C4×Dic47C2311yescharacteristic
252C2×C4×Dic47C2311yescharacteristic
253C2×C4×Dic47C2311yescharacteristic
254C2×C4×Dic47C2311yescharacteristic
255C2×C4×Dic47C2311yescharacteristic
256C2×C4×Dic47C2311yescharacteristic
257C2×C4×Dic47C2311yescharacteristic
258C2×C4×Dic47C2311yescharacteristic
259C2×C4×Dic47C2311yescharacteristic
260C2×C4×Dic47C2311yescharacteristic
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
263C2×C4×Dic47C2311yescharacteristic
264C2×C4×Dic47C2311yescharacteristic
265C2×C4×Dic47C2311yescharacteristic
266C2×C4×Dic47C2311yescharacteristic
267C2×C4×Dic47C2311yescharacteristic
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C47⋊#95C2311yescharacteristic
276C47⋊#95C2311yescharacteristic
277C47⋊#95C2311yescharacteristic
278C47⋊#95C2311yescharacteristic
279C47⋊#95C2311yescharacteristic
280C47⋊#95C2311yescharacteristic
281C47⋊#95C2311yescharacteristic
282C47⋊#95C2311yescharacteristic
283C47⋊#95C2311yescharacteristic
284C47⋊#95C2311yescharacteristic
285C47⋊#95C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
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
317C2×C4⋊C4×C47C2311yescharacteristic
318C2×C4⋊C4×C47C2311yescharacteristic
319C2×C4⋊C4×C47C2311yescharacteristic
320C2×C4⋊C4×C47C2311yescharacteristic
321C2×C4⋊C4×C47C2311yescharacteristic
322C2×C4⋊C4×C47C2311yescharacteristic
323C2×C4⋊C4×C47C2311yescharacteristic
324C2×C4⋊C4×C47C2311yescharacteristic
325C2×C4⋊C4×C47C2311yescharacteristic
326C2×C4⋊C4×C47C2311yescharacteristic
327C2×C4⋊C4×C47C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C42×C47C2311yescharacteristic
332C2×C42×C47C2311yescharacteristic
333C2×C42×C47C2311yescharacteristic
334C2×C42×C47C2311yescharacteristic
335C2×C42×C47C2311yescharacteristic
336#95×C47C2311yescharacteristic
337#95×C47C2311yescharacteristic
338#95×C47C2311yescharacteristic
339#95×C47C2311yescharacteristic
340#95×C47C2311yescharacteristic
341#95×C47C2311yescharacteristic
342#95×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352C22×C4×C47C2411yescharacteristic
353C22×C4×C47C2411yescharacteristic
354C22×C4×C47C2411yescharacteristic
355C22×C4×C47C2411yescharacteristic
356C22×C4×C47C2411yescharacteristic
357C22×C4×C47C2411yescharacteristic
358C22×C4×C47C2411yescharacteristic
359C22×C4×C47C2411yescharacteristic
360C22×C4×C47C2411yescharacteristic
361C22×C4×C47C2411yescharacteristic
362C22×C4×C47C2411yescharacteristic
363C22×C4×C47C2411yescharacteristic
364C22×C4×C47C2411yescharacteristic
365C22×C4×C47C2411yescharacteristic
366C22×C4×C47C2411yescharacteristic
367C22×Dic47C2411yescharacteristic
368C22×Dic47C2411yescharacteristic
369C22×Dic47C2411yescharacteristic
370C22×Dic47C2411yescharacteristic
371C22×Dic47C2411yescharacteristic
372C22×Dic47C2411yescharacteristic
373C22×Dic47C2411yescharacteristic
374C22×Dic47C2411yescharacteristic
375C22×Dic47C2411yescharacteristic
376C22×Dic47C2411yescharacteristic
377C22×Dic47C2411yescharacteristic
378C22×Dic47C2411yescharacteristic
379C22×Dic47C2411yescharacteristic
380C22×Dic47C2411yescharacteristic
381C22×Dic47C2411yescharacteristic
382C22×Dic47C2411yescharacteristic
383C2×Dic94—22no—
384C2×Dic94—22no—
385C2×Dic94C2×Q814yes—
386C4⋊C4×C47—22no—
387C4⋊C4×C47—22no—
388C4⋊C4×C47—22no—
389C4⋊C4×C47—22no—
390C4⋊C4×C47—22no—
391C4⋊C4×C47—22no—
392C4⋊C4×C47—22no—
393C4⋊C4×C47—22no—
394C4⋊C4×C47—41no—
395C4⋊C4×C47—41no—
396C4⋊C4×C47—41no—
397C4⋊C4×C47—41no—
398C4⋊C4×C47—41no—
399C4⋊C4×C47C2×Q814yes—
400C42×C47—22no—
401C42×C47—41no—
402C42×C47—41no—
403C42×C47—41no—
404C42×C47—41no—
405C4⋊Dic47—22no—
406C4⋊Dic47—22no—
407C4⋊Dic47—22no—
408C4⋊Dic47—22no—
409C4⋊Dic47—22no—
410C4⋊Dic47—22no—
411C4⋊Dic47—22no—
412C4⋊Dic47—22no—
413C4⋊Dic47—41no—
414C4⋊Dic47—41no—
415C4⋊Dic47—41no—
416C4⋊Dic47—41no—
417C4⋊Dic47—41no—
418Dic47⋊C4—22no—
419Dic47⋊C4—22no—
420Dic47⋊C4—22no—
421Dic47⋊C4—22no—
422Dic47⋊C4—22no—
423Dic47⋊C4—22no—
424Dic47⋊C4—22no—
425Dic47⋊C4—22no—
426Dic47⋊C4—22no—
427Dic47⋊C4—22no—
428Dic47⋊C4—22no—
429Dic47⋊C4—22no—
430Dic47⋊C4—22no—
431Dic47⋊C4—22no—
432Dic47⋊C4—22no—
433Dic47⋊C4—22no—
434Dic47⋊C4—22no—
435Dic47⋊C4—22no—
436Dic47⋊C4—22no—
437Dic47⋊C4—22no—
438Dic47⋊C4—22no—
439Dic47⋊C4—22no—
440Dic47⋊C4—22no—
441Dic47⋊C4—22no—
442Dic47⋊C4—22no—
443Dic47⋊C4—22no—
444Dic47⋊C4—22no—
445Dic47⋊C4—22no—
446Dic47⋊C4—41no—
447Dic47⋊C4—41no—
448Dic47⋊C4—41no—
449Dic47⋊C4—41no—
450Dic47⋊C4—41no—
451Dic47⋊C4—41no—
452Dic47⋊C4C2×Q814yes—
453Dic47⋊C4C2×Q814yes—
454Dic47⋊C4#4114yes—
455Dic47⋊C4#4114yes—
456C4×Dic47—22no—
457C4×Dic47—22no—
458C4×Dic47—22no—
459C4×Dic47—22no—
460C4×Dic47—22no—
461C4×Dic47—22no—
462C4×Dic47—22no—
463C4×Dic47—22no—
464C4×Dic47—22no—
465C4×Dic47—22no—
466C4×Dic47—22no—
467C4×Dic47—22no—
468C4×Dic47—41no—
469C4×Dic47—41no—
470C4×Dic47—41no—
471C4×Dic47—41no—
472C4×Dic47—41no—
473C4×Dic47—41no—
474C4×Dic47—41no—
475C4×Dic47—41no—
476C4×Dic47—41no—
477C4×Dic47—41no—
478C4×Dic47C2×Q814yes—
479C4×Dic47C2×Q814yes—
480C4×Dic47C2×Q814yes—
481C4×Dic47#4114yes—
482C23×C47C2511yescharacteristic
483C2×C4×C47—21no—
484C2×C4×C47—21no—
485C2×C4×C47—21no—
486C2×C4×C47—21no—
487C2×C4×C47—21no—
488C2×C4×C47—21no—
489C2×C4×C47—21no—
490C2×C4×C47—21no—
491C2×C4×C47—21no—
492C2×C4×C47—21no—
493C2×C4×C47—21no—
494C2×C4×C47—21no—
495C2×C4×C47—21no—
496C2×C4×C47—21no—
497C2×C4×C47—21no—
498C2×C4×C47—21no—
499C2×C4×C47—21no—
500C2×C4×C47—21no—
501C2×C4×C47—21no—
502C2×C4×C47—21no—
503C2×C4×C47—21no—
504C2×C4×C47—21no—
505C2×C4×C47—21no—
506C2×C4×C47—21no—
507C2×C4×C47—21no—
508C2×C4×C47—21no—
509C2×C4×C47—21no—
510C2×C4×C47—21no—
511C2×C4×C47—21no—
512C2×C4×C47—21no—
513C2×C4×C47—21no—
514C2×C4×C47—21no—
515C2×C4×C47—21no—
516C2×C4×C47—21no—
517C2×C4×C47—21no—
518C2×C4×C47—21no—
519C2×C4×C47—21no—
520C2×C4×C47—21no—
521C2×C4×C47—21no—
522C2×C4×C47C22×Q812yes—
523C2×C4×C47C22×Q812yes—
524C2×C4×C47C22×Q812yes—
525C2×C4×C47C2×#4112yes—
526C2×C4×C47C2×#4112yes—
527C2×C4×C47C2×#4112yes—
528C2×Dic47—21no—
529C2×Dic47—21no—
530C2×Dic47—21no—
531C2×Dic47—21no—
532C2×Dic47—21no—
533C2×Dic47—21no—
534C2×Dic47—21no—
535C2×Dic47—21no—
536C2×Dic47—21no—
537C2×Dic47—21no—
538C2×Dic47—21no—
539C2×Dic47—21no—
540C2×Dic47—21no—
541C2×Dic47—21no—
542C2×Dic47—21no—
543C2×Dic47—21no—
544C2×Dic47—21no—
545C2×Dic47—21no—
546C2×Dic47—21no—
547C2×Dic47—21no—
548C2×Dic47—21no—
549C2×Dic47—21no—
550C2×Dic47—21no—
551C2×Dic47—21no—
552C2×Dic47—21no—
553C2×Dic47—21no—
554C2×Dic47—21no—
555C2×Dic47—21no—
556C2×Dic47—21no—
557C2×Dic47—21no—
558C2×Dic47—21no—
559C2×Dic47—21no—
560C2×Dic47—21no—
561C2×Dic47—21no—
562C2×Dic47—21no—
563C2×Dic47—21no—
564C2×Dic47—21no—
565C2×Dic47C22×Q812yes—
566C2×Dic47C22×Q812yes—
567C2×Dic47C22×Q812yes—
568C2×Dic47C22×Q812yes—
569C2×Dic47C2×#4112yes—
570C2×Dic47C2×#4112yes—
571C2×Dic47C2×#4112yes—
572C2×Dic47C2×#4112yes—
573C2×Dic47C2×#4112yes—
574C2×Dic47C2×#4112yes—
575C2×Dic472−1+412yes—
576Dic94—28no—
577#36600—471nomaximal, Sylow
578C22×C47C23×Q811yescharacteristic
579C22×C47C22×#4111yescharacteristic
580C22×C47C22×#4111yescharacteristic
581C22×C47C22×#4111yescharacteristic
582C22×C47C2×2−1+411yescharacteristic
583C22×C47#58511yescharacteristic
584C22×C47#58511yescharacteristic
585C4×C47—22no—
586C4×C47—22no—
587C4×C47—22no—
588C4×C47—22no—
589C4×C47—22no—
590C4×C47—22no—
591C4×C47—41no—
592C4×C47—41no—
593C4×C47—41no—
594C4×C47—41no—
595C4×C47—41no—
596C4×C47—41no—
597C4×C47—41no—
598C4×C47—41no—
599C4×C47—41no—
600Dic47—22no—
601Dic47—22no—
602Dic47—22no—
603Dic47—22no—
604Dic47—22no—
605Dic47—41no—
606Dic47—41no—
607Dic47—41no—
608Dic47—41no—
609Dic47—41no—
610Dic47—41no—
611Dic47—41no—
612Dic47—41no—
613Dic47—41no—
614Dic47#53314yes—
615Dic47#55714yes—
616#2859—471no—
617#2859—471no—
618#2859—471no—
619#2585—471no—
620#2585—471no—
621#2585—471no—
622#2585—471no—
623#2585—471no—
624#2585—471no—
625#2585—471no—
626#2585D4711yescharacteristic
627#2570—471no—
628#2570—471no—
629#2570—471no—
630#2570—471no—
631#2552—471no—
632#2552—471no—
633#2453—471no—
634#2453—471no—
635#2453—471no—
636#2453—471no—
637#2370—471no—
638#2370—471no—
639#2370—471no—
640#2370—471no—
641#2355—471no—
642#2355—471no—
643C4×#125—471no—
644C4×#125—471no—
645C4×#125—471no—
646C42×Q8—471no—
647C2×C47C2×#53311yescharacteristic
648C2×C47C2×#55711yescharacteristic
649C2×C47#348011yescharacteristic
650C2×C47#348011yescharacteristic
651C2×C47#350411yescharacteristic
652C2×C47#351511yescharacteristic
653C2×C47#351511yescharacteristic
654C2×#125—471no—
655C2×#125—471no—
656C2×#125—471no—
657C2×#125—471no—
658C2×#125—471no—
659C2×#125—471no—
660C2×#125—471no—
661C2×C4×Q8—471no—
662C2×C4×Q8—471no—
663C2×C4×Q8—471no—
664#400—471no—
665#400—471no—
666#400—471no—
667#400—471no—
668#400—471no—
669#400—471no—
670#400—471no—
671#400C2×D4711yescharacteristic
672#398—471no—
673#398—471no—
674#398—471no—
675#398—471no—
676#398—471no—
677#398—471no—
678#398—471no—
679#398—471no—
680#398—471no—
681#398—471no—
682#398—471no—
683#398—471no—
684#398—471no—
685#398C2×D4711yescharacteristic
686#398C2×D4711yescharacteristic
687#398C2×D4711yescharacteristic
688#391—471no—
689#391—471no—
690#391—471no—
691#391—471no—
692#389—471no—
693#389—471no—
694#389—471no—
695#389—471no—
696#389—471no—
697#389—471no—
698#389—471no—
699#389—471no—
700#389—471no—
701#389—471no—
702#389—471no—
703#389—471no—
704#389—471no—
705#389—471no—
706#389—471no—
707#389—471no—
708#389—471no—
709#389—471no—
710#389—471no—
711#389—471no—
712#389—471no—
713#389—471no—
714#389—471no—
715#389—471no—
716#389—471no—
717#389—471no—
718#389—471no—
719#389—471no—
720#389—471no—
721#389—471no—
722#389—471no—
723#389C2×D4711yescharacteristic
724#389C2×D4711yescharacteristic
725#389C2×D4711yescharacteristic
726#387—471no—
727#387—471no—
728#387—471no—
729#387—471no—
730#387—471no—
731#387—471no—
732#387—471no—
733#387—471no—
734#387—471no—
735#387—471no—
736#387—471no—
737#387—471no—
738#387—471no—
739#387—471no—
740#387—471no—
741#387—471no—
742#387—471no—
743#387—471no—
744#387—471no—
745#387—471no—
746#387—471no—
747#387—471no—
748#387—471no—
749#387—471no—
750#387—471no—
751#387—471no—
752#387—471no—
753#387—471no—
754#387—471no—
755#387—471no—
756#387C2×D4711yescharacteristic
757#387C2×D4711yescharacteristic
758#387C2×D4711yescharacteristic
759#387C2×D4711yescharacteristic
760#387C2×D4711yescharacteristic
761#387C2×D4711yescharacteristic
762#384—471no—
763#384—471no—
764#384—471no—
765#384—471no—
766#384—471no—
767#384—471no—
768#382—471no—
769#382—471no—
770#382—471no—
771#382—471no—
772#382—471no—
773#382—471no—
774#382—471no—
775C4×C4⋊C4—471no—
776C4×C4⋊C4—471no—
777C4×C4⋊C4—471no—
778C4×C4⋊C4—471no—
779C4×C4⋊C4—471no—
780C4×C4⋊C4—471no—
781C4×C4⋊C4—471no—
782C4×C4⋊C4—471no—
783C4×C4⋊C4—471no—
784C4×C4⋊C4—471no—
785C4×C4⋊C4—471no—
786C4×C4⋊C4—471no—
787C4×C4⋊C4—471no—
788C4×C4⋊C4—471no—
789C4×C4⋊C4—471no—
790C4×C4⋊C4—471no—
791C4×C4⋊C4—471no—
792C4×C4⋊C4—471no—
793C4×C4⋊C4—471no—
794C4×C4⋊C4—471no—
795C4×C4⋊C4—471no—
796C4×C4⋊C4—471no—
797C4×C4⋊C4—471no—
798C4×C4⋊C4—471no—
799C4×C4⋊C4—471no—
800C4×C4⋊C4—471no—
801C4×C4⋊C4—471no—
802C4×C4⋊C4—471no—
803C4×C4⋊C4—471no—
804C4×C4⋊C4C2×D4711yescharacteristic
805C4×C4⋊C4C2×D4711yescharacteristic
806C43—471no—
807C43—471no—
808C43—471no—
809C47#3660011yescharacteristic, complemented, Sylow
810C22×Q8—471no—
811#125—944no—
812#125—944no—
813#125—944no—
814#125—944no—
815#125—944no—
816#125—944no—
817#125—944no—
818C4×Q8—478no—
819C4×Q8—944no—
820C4×Q8—944no—
821C2×C4⋊C4—471no—
822C2×C4⋊C4—471no—
823C2×C4⋊C4—471no—
824C2×C4⋊C4—471no—
825C2×C4⋊C4—471no—
826C2×C4⋊C4—471no—
827C2×C4⋊C4—471no—
828C2×C4⋊C4—471no—
829C2×C4⋊C4—471no—
830C2×C4⋊C4—471no—
831C2×C4⋊C4—471no—
832C2×C4⋊C4—471no—
833C2×C4⋊C4—471no—
834C2×C4⋊C4—471no—
835C2×C4⋊C4—471no—
836C2×C4⋊C4—471no—
837C2×C4⋊C4—471no—
838C2×C4⋊C4—471no—
839C2×C4⋊C4—471no—
840C2×C4⋊C4—471no—
841C2×C4⋊C4—471no—
842C2×C4⋊C4—471no—
843C2×C4⋊C4—471no—
844C2×C4⋊C4—471no—
845C2×C4⋊C4—471no—
846C2×C4⋊C4—471no—
847C2×C4⋊C4—471no—
848C2×C4⋊C4—471no—
849C2×C4⋊C4—471no—
850C2×C4⋊C4—471no—
851C2×C4⋊C4—471no—
852C2×C4⋊C4—471no—
853C2×C4⋊C4—471no—
854C2×C4⋊C4—471no—
855C2×C4⋊C4—471no—
856C2×C4⋊C4—471no—
857C2×C4⋊C4—471no—
858C2×C4⋊C4—471no—
859C2×C4⋊C4—471no—
860C2×C4⋊C4—471no—
861C2×C4⋊C4—471no—
862C2×C4⋊C4—471no—
863C2×C4⋊C4—471no—
864C2×C4⋊C4—471no—
865C2×C4⋊C4—471no—
866C2×C4⋊C4—471no—
867C2×C4⋊C4—471no—
868C2×C4⋊C4—471no—
869C2×C4⋊C4—471no—
870C2×C4⋊C4—471no—
871C2×C4⋊C4—471no—
872C2×C4⋊C4C22×D4711yescharacteristic
873C2×C4⋊C4C22×D4711yescharacteristic
874C2×C4⋊C4C22×D4711yescharacteristic
875C2×C4⋊C4C22×D4711yescharacteristic
876C2×C4⋊C4C22×D4711yescharacteristic
877C2×C4⋊C4C22×D4711yescharacteristic
878C2×C4⋊C4C22×D4711yescharacteristic
879C2×C4⋊C4C22×D4711yescharacteristic
880C2×C4⋊C4C22×D4711yescharacteristic
881C2×C4⋊C4C22×D4711yescharacteristic
882C2×C4⋊C4C22×D4711yescharacteristic
883C2×C4⋊C4C22×D4711yescharacteristic
884C2×C4⋊C4C22×D4711yescharacteristic
885C2×C4⋊C4C22×D4711yescharacteristic
886C2×C42—471no—
887C2×C42—471no—
888C2×C42—471no—
889C2×C42—471no—
890C2×C42—471no—
891C2×C42—471no—
892C2×C42—471no—
893C2×C42—471no—
894C2×C42—471no—
895C2×C42—471no—
896C2×C42—471no—
897C2×C42—471no—
898C2×C42—471no—
899C2×C42—471no—
900C2×C42—471no—
901C2×C42—471no—
902C2×C42—471no—
903C2×C42—471no—
904C2×C42—471no—
905C2×C42—471no—
906C2×C42—471no—
907C2×C42—471no—
908C2×C42—471no—
909C2×C42—471no—
910C2×C42—471no—
911C2×C42—471no—
912C2×C42C22×D4711yescharacteristic
913C2×C42C22×D4711yescharacteristic
914C2×C42C22×D4711yescharacteristic
915C2×C42C22×D4711yescharacteristic
916C2×C42C22×D4711yescharacteristic
917#95—471no—
918#95—471no—
919#95—471no—
920#95—471no—
921#95—471no—
922#95—471no—
923#95—471no—
924#95—471no—
925#95—471no—
926#95—471no—
927#95—471no—
928#95—471no—
929#95—471no—
930#95—471no—
931#95—471no—
932#95—471no—
933#95—471no—
934#95—471no—
935#95—471no—
936#95—471no—
937#95—471no—
938#95—471no—
939#95—471no—
940#95—471no—
941#95—471no—
942#95—471no—
943#95—471no—
944#95—471no—
945#95—471no—
946#95—471no—
947#95—471no—
948#95—471no—
949#95—471no—
950#95—471no—
951#95—471no—
952#95—471no—
953#95—471no—
954#95—471no—
955#95—471no—
956#95—471no—
957#95—471no—
958#95—471no—
959#95C22×D4711yescharacteristic
960#95C22×D4711yescharacteristic
961#95C22×D4711yescharacteristic
962#95C22×D4711yescharacteristic
963#95C22×D4711yescharacteristic
964#95C22×D4711yescharacteristic
965#95C22×D4711yescharacteristic
966#95C22×D4711yescharacteristic
967#95C22×D4711yescharacteristic
968#95C22×D4711yescharacteristic
969#95C22×D4711yescharacteristic
970#95C22×D4711yescharacteristic
971#95C22×D4711yescharacteristic
972#95C22×D4711yescharacteristic
973#95C22×D4711yescharacteristic
974#95C22×D4711yescharacteristic
975C2×Q8—474no—
976C2×Q8—942no—
977C2×Q8—942no—
978C22×C4—471no—
979C22×C4—471no—
980C22×C4—471no—
981C22×C4—471no—
982C22×C4—471no—
983C22×C4—471no—
984C22×C4—471no—
985C22×C4—471no—
986C22×C4—471no—
987C22×C4—471no—
988C22×C4—471no—
989C22×C4—471no—
990C22×C4—471no—
991C22×C4—471no—
992C22×C4—471no—
993C22×C4—471no—
994C22×C4C23×D4711yescharacteristic
995C22×C4C23×D4711yescharacteristic
996C22×C4C23×D4711yescharacteristic
997C22×C4C23×D4711yescharacteristic
998C22×C4C23×D4711yescharacteristic
999C22×C4C23×D4711yescharacteristic
1000C22×C4C23×D4711yescharacteristic
1001C22×C4C23×D4711yescharacteristic
1002C22×C4C23×D4711yescharacteristic
1003C22×C4C23×D4711yescharacteristic
1004C22×C4C23×D4711yescharacteristic
1005C22×C4C23×D4711yescharacteristic
1006C22×C4C23×D4711yescharacteristic
1007C22×C4C23×D4711yescharacteristic
1008C22×C4C23×D4711yescharacteristic
1009C4⋊C4—22no—
1010C4⋊C4—22no—
1011C4⋊C4—22no—
1012C4⋊C4—22no—
1013C4⋊C4—22no—
1014C4⋊C4—22no—
1015C4⋊C4—22no—
1016C4⋊C4—22no—
1017C4⋊C4—41no—
1018C4⋊C4—41no—
1019C4⋊C4—41no—
1020C4⋊C4—41no—
1021C4⋊C4—41no—
1022C4⋊C4—474no—
1023C4⋊C4—474no—
1024C4⋊C4—474no—
1025C4⋊C4—474no—
1026C4⋊C4—942no—
1027C4⋊C4—942no—
1028C4⋊C4—942no—
1029C4⋊C4—942no—
1030C4⋊C4—942no—
1031C4⋊C4—942no—
1032C4⋊C4—942no—
1033C4⋊C4—942no—
1034C4⋊C4—942no—
1035C4⋊C4—942no—
1036C4⋊C4—942no—
1037C4⋊C4—942no—
1038C4⋊C4—942no—
1039C4⋊C4—942no—
1040C4⋊C4—942no—
1041C4⋊C4—942no—
1042C4⋊C4—942no—
1043C4⋊C4—942no—
1044C4⋊C4—942no—
1045C4⋊C4—942no—
1046C4⋊C4—942no—
1047C4⋊C4—942no—
1048C4⋊C4—942no—
1049C4⋊C4—942no—
1050C4⋊C4—942no—
1051C4⋊C4—942no—
1052C4⋊C4—942no—
1053C4⋊C4—942no—
1054C4⋊C4—942no—
1055C4⋊C4—942no—
1056C4⋊C4—942no—
1057C4⋊C4—942no—
1058C4⋊C4—942no—
1059C4⋊C4—942no—
1060C4⋊C4—942no—
1061C4⋊C4—942no—
1062C4⋊C4—1881no—
1063C4⋊C4—1881no—
1064C4⋊C4—1881no—
1065C4⋊C4—1881no—
1066C4⋊C4—1881no—
1067C4⋊C4—1881no—
1068C4⋊C4—1881no—
1069C4⋊C4—1881no—
1070C4⋊C4—1881no—
1071C4⋊C4—1881no—
1072C4⋊C4—1881no—
1073C4⋊C4Q8×D4714yes—
1074C42—22no—
1075C42—41no—
1076C42—41no—
1077C42—41no—
1078C42—41no—
1079C42—474no—
1080C42—474no—
1081C42—474no—
1082C42—474no—
1083C42—942no—
1084C42—942no—
1085C42—942no—
1086C42—942no—
1087C42—942no—
1088C42—942no—
1089C42—942no—
1090C42—942no—
1091C42—942no—
1092C42—942no—
1093C42—942no—
1094C42—942no—
1095C42—1881no—
1096C42—1881no—
1097C42—1881no—
1098C42—1881no—
1099C42—1881no—
1100C42—1881no—
1101C42—1881no—
1102C42—1881no—
1103C42—1881no—
1104C42—1881no—
1105C23C24×D4711yescharacteristic
1106Q8—948no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—21no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—21no—
1129C2×C4—21no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—21no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—21no—
1146C2×C4—472no—
1147C2×C4—472no—
1148C2×C4—472no—
1149C2×C4—472no—
1150C2×C4—472no—
1151C2×C4—472no—
1152C2×C4—472no—
1153C2×C4—472no—
1154C2×C4—472no—
1155C2×C4—472no—
1156C2×C4—472no—
1157C2×C4—941no—
1158C2×C4—941no—
1159C2×C4—941no—
1160C2×C4—941no—
1161C2×C4—941no—
1162C2×C4—941no—
1163C2×C4—941no—
1164C2×C4—941no—
1165C2×C4—941no—
1166C2×C4—941no—
1167C2×C4—941no—
1168C2×C4—941no—
1169C2×C4—941no—
1170C2×C4—941no—
1171C2×C4—941no—
1172C2×C4—941no—
1173C2×C4—941no—
1174C2×C4—941no—
1175C2×C4—941no—
1176C2×C4—941no—
1177C2×C4—941no—
1178C2×C4—941no—
1179C2×C4—941no—
1180C2×C4—941no—
1181C2×C4—941no—
1182C2×C4—941no—
1183C2×C4—941no—
1184C2×C4—941no—
1185C2×C4—941no—
1186C2×C4—941no—
1187C2×C4—941no—
1188C2×C4—941no—
1189C2×C4—941no—
1190C2×C4—941no—
1191C2×C4—941no—
1192C2×C4—941no—
1193C2×C4—941no—
1194C2×C4C2×Q8×D4712yes—
1195C2×C4C2×Q8×D4712yes—
1196C2×C4C2×Q8×D4712yes—
1197C2×C4#41×D4712yes—
1198C2×C4#41×D4712yes—
1199C2×C4#41×D4712yes—
1200C22C22×Q8×D4711yescharacteristic
1201C22C2×#41×D4711yescharacteristic
1202C22C2×#41×D4711yescharacteristic
1203C22C2×#41×D4711yescharacteristic
1204C222−1+4×D4711yescharacteristic
1205C22#1568995811yescharacteristic
1206C22#1568995911yescharacteristic
1207C4—22no—
1208C4—22no—
1209C4—22no—
1210C4—22no—
1211C4—22no—
1212C4—22no—
1213C4—41no—
1214C4—41no—
1215C4—41no—
1216C4—41no—
1217C4—41no—
1218C4—41no—
1219C4—41no—
1220C4—41no—
1221C4—41no—
1222C4—474no—
1223C4—474no—
1224C4—942no—
1225C4—942no—
1226C4—942no—
1227C4—942no—
1228C4—942no—
1229C4—1881no—
1230C4—1881no—
1231C4—1881no—
1232C4—1881no—
1233C4—1881no—
1234C4—1881no—
1235C4—1881no—
1236C4—1881no—
1237C4—1881no—
1238C2#533×D4711yescharacteristic
1239C2#557×D4711yescharacteristic
1240C2#2025697911yescharacteristic
1241C2#2025698211yescharacteristic
1242C2#2025720811yescharacteristic
1243C2#2025735511yescharacteristic
1244C2#2025735811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, prime radical, cosocleC23×C47C25
FittingC47×#2585C2
hypercenter#2585D47
hypocenterC47#36600
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2585

Complements

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

NH ≅ G/Ntype
809. C47#36600semidirect

Maximal subgroups

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

subgroupindex
#202517472
#202487922
#202487902
#202487882
#202487862
#202487832
#202487812
#202487792
#202486212
#202486192
#202486172
#202486152
#202484182
#202472482
#202472462
#202472442
#202472422
#202464872
#202464852
#202464812
#202464792
#202463422
#202459452
C4×#130940142
C4×#130939892
C47×#25852
#3660047