Finite Group Databasebeta

← #26424159

Subgroups — #26424159

Order 12032.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251670C211yesmaximal, characteristic, complemented
2#20251249C211yesmaximal, characteristic, complemented
3#20251045C211yesmaximal, characteristic, complemented
4#20251021C211yesmaximal, characteristic, complemented
5#20251002C211yesmaximal, characteristic, complemented
6#20251000C211yesmaximal, characteristic, complemented
7#20250711C211yesmaximal, characteristic, complemented
8#20250666C211yesmaximal, characteristic, complemented
9#20250612C211yesmaximal, characteristic, complemented
10#20250499C211yesmaximal, characteristic, complemented
11#20250379C211yesmaximal, characteristic, complemented
12#20250185C211yesmaximal, characteristic, complemented
13#20250031C211yesmaximal, characteristic, complemented
14#20250012C211yesmaximal, characteristic, complemented
15#20249932C211yesmaximal, characteristic, complemented
16#20249827C211yesmaximal, characteristic, complemented
17#20249685C211yesmaximal, characteristic, complemented
18#20249103C211yesmaximal, characteristic, complemented
19#20249103C211yesmaximal, characteristic, complemented
20#20247771C211yesmaximal, characteristic, complemented
21#20247720C211yesmaximal, characteristic, complemented
22#20247641C211yesmaximal, characteristic, complemented
23#20247521C211yesmaximal, characteristic, complemented
24#20246937C211yesmaximal, characteristic, complemented
25#20246922C211yesmaximal, characteristic, complemented
26#20246871C211yesmaximal, characteristic, complemented
27#20246856C211yesmaximal, characteristic, complemented
28#20246043C211yesmaximal, characteristic, complemented
29#20246043C211yesmaximal, characteristic, complemented
30C2×#15689002C211yesmaximal, characteristic, complemented
31C47×#2848C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094013C2211yescharacteristic, complemented
35C2×#13094009C2211yescharacteristic, complemented
36C2×#13094008C2211yescharacteristic
37C2×#13094008C2211yescharacteristic
38C2×#13093999C2211yescharacteristic, complemented
39C2×#13093998C2211yescharacteristic
40C2×#13093998C2211yescharacteristic, complemented
41C2×#13093998C2211yescharacteristic, complemented
42C2×#13093994C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093993C2211yescharacteristic
45C2×#13093993C2211yescharacteristic
46C2×(C22⋊D47)⋊C4C2211yescharacteristic
47C2×(C22⋊D47)⋊C4C2211yescharacteristic
48C22×C22⋊Dic47C2211yescharacteristic
49C22×(C2×D47)⋊C4C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689065C2211yescharacteristic, complemented
54#15689062C2211yescharacteristic, complemented
55#15689062C2211yescharacteristic, complemented
56#15689062C2211yescharacteristic, complemented
57#15689061C2211yescharacteristic, complemented
58#15689058C2211yescharacteristic, complemented
59#15689056C2211yescharacteristic, complemented
60#15689055C2211yescharacteristic, complemented
61#15689052C2211yescharacteristic, complemented
62#15689052C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689050C2211yescharacteristic, complemented
65#15689050C2211yescharacteristic, complemented
66#15689049C2211yescharacteristic, complemented
67#15689049C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic, complemented
69#15689049C2211yescharacteristic, complemented
70#15689045C2211yescharacteristic, complemented
71#15689045C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic, complemented
73#15689041C2211yescharacteristic, complemented
74#15689041C2211yescharacteristic, complemented
75#15689040C2211yescharacteristic, complemented
76#15689040C2211yescharacteristic, complemented
77#15689040C2211yescharacteristic, complemented
78#15689040C2211yescharacteristic, complemented
79#15689040C2211yescharacteristic, complemented
80#15689039C2211yescharacteristic
81#15689039C2211yescharacteristic
82#15689039C2211yescharacteristic
83#15689039C2211yescharacteristic
84#15689039C2211yescharacteristic
85#15689039C2211yescharacteristic
86#15689039C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689034C2211yescharacteristic, complemented
89#15689034C2211yescharacteristic, complemented
90#15689033C2211yescharacteristic, complemented
91#15689032C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689032C2211yescharacteristic
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689032C2211yescharacteristic
99#15689030C2211yescharacteristic, complemented
100#15689024C2211yescharacteristic, complemented
101#15689024C2211yescharacteristic, complemented
102#15689023C2211yescharacteristic, complemented
103#15689023C2211yescharacteristic, complemented
104#15689023C2211yescharacteristic, complemented
105#15689023C2211yescharacteristic, complemented
106#15689022C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689015C2211yescharacteristic, complemented
112#15689015C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic, complemented
116#15689013C2211yescharacteristic, complemented
117#15689013C2211yescharacteristic, complemented
118#15689013C2211yescharacteristic, complemented
119#15689013C2211yescharacteristic, complemented
120#15689012C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic, complemented
122#15689011C2211yescharacteristic, complemented
123#15689011C2211yescharacteristic, complemented
124#15689011C2211yescharacteristic, complemented
125#15689011C2211yescharacteristic, complemented
126#15689010C2211yescharacteristic, complemented
127#15689009C2211yescharacteristic, complemented
128#15689009C2211yescharacteristic, complemented
129#15689006C2211yescharacteristic, complemented
130#15689004C2211yescharacteristic, complemented
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic
133#15689002C2211yescharacteristic
134#15689002C2211yescharacteristic
135#15689002C2211yescharacteristic
136#15689002C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689002C2211yescharacteristic
139#15689002C2211yescharacteristic
140#15689002C2211yescharacteristic
141#15689002C2211yescharacteristic, complemented
142#15689002C2211yescharacteristic, complemented
143#15689002C2211yescharacteristic, complemented
144#15689002C2211yescharacteristic, complemented
145#15689001C2211yescharacteristic, complemented
146#15689001C2211yescharacteristic, complemented
147#15689001C2211yescharacteristic, complemented
148#15689000C2211yescharacteristic
149#15689000C2211yescharacteristic
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic, complemented
153#15688999C2211yescharacteristic, complemented
154#15688995C2211yescharacteristic
155#15688995C2211yescharacteristic
156#15688994C2211yescharacteristic, complemented
157#15688990C2211yescharacteristic, complemented
158#15688988C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic, complemented
160#15688984C2211yescharacteristic
161#15688984C2211yescharacteristic
162#15688983C2211yescharacteristic
163#15688983C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688980C2211yescharacteristic, complemented
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C24×C4×C47C2211yescharacteristic
173C2×C22⋊Q8×C47C2211yescharacteristic
174C2×C22⋊Q8×C47C2211yescharacteristic, complemented
175C2×C22⋊Q8×C47C2211yescharacteristic, complemented
176C47×#385C2211yescharacteristic
177C47×#385C2211yescharacteristic
178C47×#385C2211yescharacteristic, complemented
179C47×#385C2211yescharacteristic, complemented
180C47×#385C2211yescharacteristic, complemented
181C47×#385C2211yescharacteristic, complemented
182C47×#380C2211yescharacteristic
183C47×#380C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic, complemented
185C47×#379C2211yescharacteristic
186C47×#379C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47—24no—
194C22×C22⋊D47—42no—
195C22×C22⋊D47—42no—
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
205C22×C22⋊D47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—42no—
212#13094013—42no—
213#13094009—42no—
214#13094008—42no—
215#13094008—42no—
216#13093999—42no—
217#13093998—42no—
218#13093998—42no—
219#13093998—42no—
220#13093994—42no—
221#13093994—42no—
222#13093993—24no—
223#13093993—24no—
224(C22⋊D47)⋊C4—42no—
225(C22⋊D47)⋊C4—42no—
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×C22⋊Dic47—42no—
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×(C2×D47)⋊C4—42no—
251C2×(C2×D47)⋊C4—42no—
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
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
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C25×C47C2311yescharacteristic
329C22×Q8×C47C2311yescharacteristic
330C23×C4×C47—42no—
331C23×C4×C47—42no—
332C23×C4×C47—42no—
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338C23×C4×C47C2311yescharacteristic
339C22⋊Q8×C47—42no—
340C22⋊Q8×C47—42no—
341C22⋊Q8×C47—42no—
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊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
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47—22no—
370C24×C47—22no—
371C24×C47—41no—
372C24×C47—41no—
373C24×C47—41no—
374C24×C47—41no—
375C24×C47#4114yes—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C23×D47C2411yescharacteristic
390C2×Q8×C47—22no—
391C2×Q8×C47—41no—
392C2×Q8×C47—41no—
393C22×C4×C47—22no—
394C22×C4×C47—22no—
395C22×C4×C47—22no—
396C22×C4×C47—22no—
397C22×C4×C47—22no—
398C22×C4×C47—22no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47—41no—
409C22×C4×C47—41no—
410C22×C4×C47—41no—
411C22×C4×C47—416no—
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—416no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—22no—
459C22×Dic47—22no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47—41no—
463C22×Dic47—41no—
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C2×D188—22no—
477C2×D188—41no—
478C2×D188—41no—
479C2×D188—41no—
480C2×D188—41no—
481C2×D188—41no—
482C2×D188—41no—
483C2×D188—41no—
484C2×D188—41no—
485C2×D188—41no—
486C2×D188—41no—
487C2×D188—41no—
488C2×D188—41no—
489C2×D188—41no—
490C2×D188—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47—41no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—41no—
501C4⋊C4×C47—41no—
502C4⋊C4×C47—41no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C4⋊C4×C47—41no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—41no—
525C22⋊Dic47—41no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564C4⋊Dic47—22no—
565C4⋊Dic47—41no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569C4⋊Dic47—41no—
570C4⋊Dic47—41no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573Dic47⋊C4—41no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577C4×Dic47—41no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—28no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—44no—
601C23×C47—44no—
602C23×C47—44no—
603C23×C47—44no—
604C23×C47—44no—
605C23×C47—44no—
606C23×C47C2×#4112yes—
607C23×C47C2×#4112yes—
608C23×C47C2×#4112yes—
609C23×C47H(5,𝔽2)12yes—
610C23×C47H(5,𝔽2)12yes—
611C23×C47C2511yescharacteristic
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47—82no—
644C22×D47—82no—
645C22×D47—82no—
646C22×D47—82no—
647Q8×C47—82no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—44no—
683C2×C4×C47—44no—
684C2×C4×C47—44no—
685C2×C4×C47—44no—
686C2×C4×C47—44no—
687C2×C4×C47—44no—
688C2×C4×C47H(5,𝔽2)12yes—
689C2×C4×C47H(5,𝔽2)12yes—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C22⋊D47—44no—
693C22⋊D47—44no—
694C22⋊D47—44no—
695C22⋊D47—44no—
696C22⋊D47—82no—
697C22⋊D47—82no—
698C22⋊D47—82no—
699C22⋊D47—82no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—44no—
737C2×Dic47—82no—
738C2×Dic47—82no—
739D188—82no—
740D188—82no—
741D188—82no—
742D188—82no—
743D188—82no—
744C4×D47—82no—
745C4×D47—82no—
746#36758—471nomaximal, Sylow
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—22no—
755C22×C47—22no—
756C22×C47—22no—
757C22×C47—22no—
758C22×C47—22no—
759C22×C47—416no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47#53814yes—
769C22×C47C22×#4111yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47C2×H(5,𝔽2)11yescharacteristic
772C22×C47C2×H(5,𝔽2)11yescharacteristic
773C22×C47C2×H(5,𝔽2)11yescharacteristic
774C22×C47#58511yescharacteristic
775C22×C47#58511yescharacteristic
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—41no—
804C2×D47—88no—
805C4×C47—22no—
806C4×C47—22no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813C4×C47—41no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825Dic47—41no—
826Dic47—41no—
827Dic47—41no—
828Dic47—41no—
829#2848D4711yescharacteristic, complemented
830#2847—471no—
831#2797—471no—
832#2781—471no—
833#2779—471no—
834#2778—471no—
835#2778—471no—
836#2756—471no—
837#2753—471no—
838#2749—471no—
839#2741—471no—
840#2730—471no—
841#2714—471no—
842#2703—471no—
843#2702—471no—
844#2696—471no—
845#2688—471no—
846#2676—471no—
847#2613—471no—
848#2613—471no—
849#2493—471no—
850#2488—471no—
851#2480—471no—
852#2472—471no—
853#2425—471no—
854#2424—471no—
855#2419—471no—
856#2418—471no—
857#2321—471no—
858#2321—471no—
859C2×#386—471no—
860C2×C47—24no—
861C2×C47—42no—
862C2×C47—42no—
863C2×C47C2×#53811yescharacteristic
864C2×C47#350511yescharacteristic
865C2×C47#350511yescharacteristic
866C2×C47#353211yescharacteristic
867C2×C47#353311yescharacteristic
868C2×C47#354211yescharacteristic
869C2×C47#354211yescharacteristic
870D47—81no—
871D47—81no—
872D47—81no—
873D47—81no—
874C23×D4—471no—
875C24×C4C2×D4711yescharacteristic
876C2×#126—471no—
877C2×#124—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×C22⋊Q8C2×D4711yescharacteristic
882C2×C22⋊Q8C2×D4711yescharacteristic, complemented
883C2×C22⋊Q8C2×D4711yescharacteristic, complemented
884C2×#121—471no—
885C2×#121—471no—
886C2×#121—471no—
887C2×#121—471no—
888C2×#120—471no—
889C2×#120—471no—
890C2×#120—471no—
891C2×#120—471no—
892C2×C4×D4—471no—
893C2×C4×D4—471no—
894C22×C22⋊C4—471no—
895C22×C22⋊C4—471no—
896C22×C22⋊C4—471no—
897#401—471no—
898#400—471no—
899#400—471no—
900#400—471no—
901#400—471no—
902#400—471no—
903#400—471no—
904#399—471no—
905#398—471no—
906#398—471no—
907#397—471no—
908#397—471no—
909#397—471no—
910#397—471no—
911#397—471no—
912#397—471no—
913#397—471no—
914#397—471no—
915#397—471no—
916#396—471no—
917#396—471no—
918#396—471no—
919#394—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394—471no—
933#394—471no—
934#393—471no—
935#393—471no—
936#392—471no—
937#392—471no—
938#392—471no—
939#392—471no—
940#392—471no—
941#392—471no—
942#392—471no—
943#392—471no—
944#392—471no—
945#391—471no—
946#390—471no—
947#390—471no—
948#390—471no—
949#390—471no—
950#390—471no—
951#390—471no—
952#389—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#387—471no—
973#387—471no—
974#387—471no—
975#387—471no—
976#387—471no—
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385C2×D4711yescharacteristic
1004#385C2×D4711yescharacteristic
1005#385C2×D4711yescharacteristic, complemented
1006#385C2×D4711yescharacteristic, complemented
1007#385C2×D4711yescharacteristic, complemented
1008#385C2×D4711yescharacteristic, complemented
1009#383—471no—
1010#382—471no—
1011#381—471no—
1012#381—471no—
1013#381—471no—
1014#380—471no—
1015#380—471no—
1016#380—471no—
1017#380—471no—
1018#380C2×D4711yescharacteristic
1019#380C2×D4711yescharacteristic, complemented
1020#380C2×D4711yescharacteristic, complemented
1021#379—471no—
1022#379—471no—
1023#379C2×D4711yescharacteristic
1024#379C2×D4711yescharacteristic
1025C4×C22⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C2×#95—471no—
1028C2×#95—471no—
1029C47#3675811yescharacteristic, complemented, Sylow
1030C25—471no—
1031C25C22×D4711yescharacteristic
1032C22×Q8C22×D4711yescharacteristic
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4—471no—
1043C22×D4—471no—
1044C22×D4—471no—
1045C22×D4—471no—
1046C22×D4—471no—
1047C22×D4—471no—
1048C22×D4—944no—
1049C22×D4—1882no—
1050C22×D4—1882no—
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—42no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4C22×D4711yescharacteristic
1060C23×C4C22×D4711yescharacteristic
1061C23×C4C22×D4711yescharacteristic
1062C23×C4C22×D4711yescharacteristic
1063C23×C4C22×D4711yescharacteristic
1064C23×C4C22×D4711yescharacteristic
1065#126—1882no—
1066#124—1882no—
1067#123—1882no—
1068#123—1882no—
1069#123—1882no—
1070C22⋊Q8—42no—
1071C22⋊Q8—42no—
1072C22⋊Q8—42no—
1073#121—1882no—
1074#121—1882no—
1075#121—1882no—
1076#121—1882no—
1077#120—944no—
1078#120—944no—
1079#120—1882no—
1080#120—1882no—
1081C4×D4—1882no—
1082C4×D4—1882no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4C22×D4711yescharacteristic
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
1101C2×C4⋊C4C22×D4711yescharacteristic
1102C2×C4⋊C4C22×D4711yescharacteristic
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—1882no—
1152C2×C22⋊C4—1882no—
1153C2×C22⋊C4—1882no—
1154C2×C22⋊C4C22×D4711yescharacteristic
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C22⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C22⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4C22×D4711yescharacteristic
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C42—471no—
1167C2×C42—471no—
1168C2×C42—471no—
1169C2×C42—471no—
1170C2×C42—471no—
1171C2×C42—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95C22×D4711yescharacteristic
1207#95C22×D4711yescharacteristic
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—471no—
1219C24—471no—
1220C24—471no—
1221C24—471no—
1222C24—942no—
1223C24—942no—
1224C24—942no—
1225C24—1881no—
1226C24—1881no—
1227C24—1881no—
1228C24—1881no—
1229C24#1062535414yes—
1230C24C23×D4711yescharacteristic
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—942no—
1246C2×D4—942no—
1247C2×D4—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—1881no—
1252C2×D4—1881no—
1253C2×D4—1881no—
1254C2×D4—1881no—
1255C2×D4—1881no—
1256C2×D4—1881no—
1257C2×D4—1881no—
1258C2×D4—1881no—
1259C2×D4—1881no—
1260C2×D4—1881no—
1261C2×D4—1881no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—18816no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—416no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—471no—
1304C22×C4—471no—
1305C22×C4—471no—
1306C22×C4—471no—
1307C22×C4—471no—
1308C22×C4—471no—
1309C22×C4—471no—
1310C22×C4—471no—
1311C22×C4—471no—
1312C22×C4—471no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—942no—
1317C22×C4—942no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—1881no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—942no—
1350C4⋊C4—1881no—
1351C4⋊C4—1881no—
1352C4⋊C4—1881no—
1353C4⋊C4—1881no—
1354C4⋊C4—1881no—
1355C4⋊C4—1881no—
1356C4⋊C4—1881no—
1357C4⋊C4—1881no—
1358C4⋊C4—1881no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
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—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C22⋊C4—1881no—
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⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C42—1881no—
1421C42—1881no—
1422C42—1881no—
1423C42—1881no—
1424C42—1881no—
1425C42—1881no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—941no—
1476C23—941no—
1477C23—3762no—
1478C23—3762no—
1479C23—3762no—
1480C23—3762no—
1481C23—1884no—
1482C23—1884no—
1483C23—1884no—
1484C23C2×#1062535412yes—
1485C23C2×#1062535412yes—
1486C23C2×#1062535412yes—
1487C23#1309406912yes—
1488C23#1309407012yes—
1489C23C24×D4711yescharacteristic
1490Q8—82no—
1491D4—3762no—
1492D4—3762no—
1493D4—3762no—
1494D4—3762no—
1495D4—3762no—
1496D4—3762no—
1497D4—3762no—
1498D4—3762no—
1499D4—3762no—
1500D4—1884no—
1501D4—1884no—
1502D4—1884no—
1503D4—1884no—
1504D4—1884no—
1505D4—1884no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—3762no—
1583C2×C4—3762no—
1584C2×C4—3762no—
1585C2×C4—3762no—
1586C2×C4—1884no—
1587C2×C4#1309406912yes—
1588C2×C4#1309406912yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—3768no—
1611C22—1881no—
1612C22—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22—1881no—
1631C22—1881no—
1632C22—1881no—
1633C22—1881no—
1634C22—1881no—
1635C22—1881no—
1636C22—1881no—
1637C22—1881no—
1638C22—1881no—
1639C22#1568971314yes—
1640C22C22×#1062535411yescharacteristic
1641C22C2×#1309406911yescharacteristic
1642C22C2×#1309406911yescharacteristic
1643C22C2×#1309406911yescharacteristic
1644C22C2×#1309407011yescharacteristic
1645C22#1568995911yescharacteristic
1646C22#1568995911yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—1881no—
1660C4—1881no—
1661C4—1881no—
1662C4—1881no—
1663C4—1881no—
1664C4—1881no—
1665C4—1881no—
1666C4—1881no—
1667C4—1881no—
1668C4—1881no—
1669C4—1881no—
1670C4—1881no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—3761no—
1675C2—3761no—
1676C2—3761no—
1677C2—3761no—
1678C2C2×#1568971311yescharacteristic
1679C2#2025722911yescharacteristic
1680C2#2025722911yescharacteristic
1681C2#2025754311yescharacteristic
1682C2#2025755211yescharacteristic
1683C2#2025769611yescharacteristic
1684C2#2025770411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2848C2
hypercenter#2848D47
hypocenterC47#36758
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. #20251670C2semidirect
2. #20251249C2semidirect
3. #20251045C2semidirect
4. #20251021C2semidirect
5. #20251002C2semidirect
6. #20251000C2semidirect
7. #20250711C2semidirect
8. #20250666C2semidirect
9. #20250612C2semidirect
10. #20250499C2semidirect
11. #20250379C2semidirect
12. #20250185C2semidirect
13. #20250031C2semidirect
14. #20250012C2semidirect
15. #20249932C2semidirect
16. #20249827C2semidirect
17. #20249685C2semidirect
18. #20249103C2semidirect
19. #20249103C2semidirect
20. #20247771C2semidirect
21. #20247720C2semidirect
22. #20247641C2semidirect
23. #20247521C2semidirect
24. #20246937C2semidirect
25. #20246922C2semidirect
26. #20246871C2semidirect
27. #20246856C2semidirect
28. #20246043C2semidirect
29. #20246043C2semidirect
30. C2×#15689002C2semidirect
31. C47×#2848C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094013C22semidirect
35. C2×#13094009C22semidirect
38. C2×#13093999C22semidirect
40. C2×#13093998C22semidirect
41. C2×#13093998C22semidirect
51. C47⋊#401C22semidirect
52. #15689065C22semidirect
53. #15689065C22semidirect
54. #15689062C22semidirect
55. #15689062C22semidirect
56. #15689062C22semidirect
57. #15689061C22semidirect
58. #15689058C22semidirect
59. #15689056C22semidirect
60. #15689055C22semidirect
61. #15689052C22semidirect
62. #15689052C22semidirect
63. #15689052C22semidirect
64. #15689050C22semidirect
65. #15689050C22semidirect
66. #15689049C22semidirect
67. #15689049C22semidirect
68. #15689049C22semidirect
69. #15689049C22semidirect
70. #15689045C22semidirect
71. #15689045C22semidirect
72. #15689045C22semidirect
73. #15689041C22semidirect
74. #15689041C22semidirect
75. #15689040C22semidirect
76. #15689040C22semidirect
77. #15689040C22semidirect
78. #15689040C22semidirect
79. #15689040C22semidirect
88. #15689034C22semidirect
89. #15689034C22semidirect
90. #15689033C22semidirect
99. #15689030C22semidirect
100. #15689024C22semidirect
101. #15689024C22semidirect
102. #15689023C22semidirect
103. #15689023C22semidirect
104. #15689023C22semidirect
105. #15689023C22semidirect
106. #15689022C22semidirect
107. #15689017C22semidirect
108. #15689017C22semidirect
109. #15689017C22semidirect
110. #15689017C22semidirect
111. #15689015C22semidirect
112. #15689015C22semidirect
113. #15689015C22semidirect
114. #15689013C22semidirect
115. #15689013C22semidirect
116. #15689013C22semidirect
117. #15689013C22semidirect
118. #15689013C22semidirect
119. #15689013C22semidirect
120. #15689012C22semidirect
121. #15689012C22semidirect
122. #15689011C22semidirect
123. #15689011C22semidirect
124. #15689011C22semidirect
125. #15689011C22semidirect
126. #15689010C22semidirect
127. #15689009C22semidirect
128. #15689009C22semidirect
129. #15689006C22semidirect
130. #15689004C22semidirect
141. #15689002C22semidirect
142. #15689002C22semidirect
143. #15689002C22semidirect
144. #15689002C22semidirect
145. #15689001C22semidirect
146. #15689001C22semidirect
147. #15689001C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688999C22semidirect
153. #15688999C22semidirect
156. #15688994C22semidirect
157. #15688990C22semidirect
158. #15688988C22semidirect
159. #15688985C22semidirect
163. #15688983C22semidirect
164. #15688983C22semidirect
165. #15688980C22semidirect
174. C2×C22⋊Q8×C47C22semidirect
175. C2×C22⋊Q8×C47C22semidirect
178. C47×#385C22semidirect
179. C47×#385C22semidirect
180. C47×#385C22semidirect
181. C47×#385C22semidirect
183. C47×#380C22semidirect
184. C47×#380C22semidirect
829. #2848D47semidirect
882. C2×C22⋊Q8C2×D47semidirect
883. C2×C22⋊Q8C2×D47semidirect
1005. #385C2×D47semidirect
1006. #385C2×D47semidirect
1007. #385C2×D47semidirect
1008. #385C2×D47semidirect
1019. #380C2×D47semidirect
1020. #380C2×D47semidirect
1029. C47#36758semidirect

Maximal subgroups

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

subgroupindex
#202516702
#202512492
#202510452
#202510212
#202510022
#202510002
#202507112
#202506662
#202506122
#202504992
#202503792
#202501852
#202500312
#202500122
#202499322
#202498272
#202496852
#202491032
#202477712
#202477202
#202476412
#202475212
#202469372
#202469222
#202468712
#202468562
#202460432
C2×#156890022
C47×#28482
#3675847