Finite Group Databasebeta

← #26385665

Subgroups — #26385665

Order 12032.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20248136C211yesmaximal, characteristic, complemented
2#20248128C211yesmaximal, characteristic, complemented
3#20248011C211yesmaximal, characteristic, complemented
4#20248003C211yesmaximal, characteristic, complemented
5#20247991C211yesmaximal, characteristic, complemented
6#20247921C211yesmaximal, characteristic, complemented
7#20247871C211yesmaximal, characteristic, complemented
8#20247792C211yesmaximal, characteristic, complemented
9#20247775C211yesmaximal, characteristic, complemented
10#20247773C211yesmaximal, characteristic, complemented
11#20247722C211yesmaximal, characteristic, complemented
12#20247693C211yesmaximal, characteristic
13#20247109C211yesmaximal, characteristic, complemented
14#20246859C211yesmaximal, characteristic
15#20246836C211yesmaximal, characteristic
16#20246694C211yesmaximal, characteristic, complemented
17#20246692C211yesmaximal, characteristic, complemented
18#20246685C211yesmaximal, characteristic, complemented
19#20246685C211yesmaximal, characteristic, complemented
20#20245945C211yesmaximal, characteristic, complemented
21#20245920C211yesmaximal, characteristic, complemented
22#20245920C211yesmaximal, characteristic, complemented
23#20245913C211yesmaximal, characteristic
24#123×Dic47C211yesmaximal, characteristic
25#20245861C211yesmaximal, characteristic, complemented
26#20245783C211yesmaximal, characteristic, complemented
27#20245779C211yesmaximal, characteristic, complemented
28#20245779C211yesmaximal, characteristic, complemented
29C4×D4×Dic47C211yesmaximal, characteristic
30C2×#15688974C211yesmaximal, characteristic, complemented
31C47×#2419C211yesmaximal, characteristic
32C2×#13094014C2211yescharacteristic
33C2×#13094005C2211yescharacteristic
34C2×#13094001C2211yescharacteristic
35C2×#13094001C2211yescharacteristic
36C2×#13093989C2211yescharacteristic
37C2×D4×Dic47C2211yescharacteristic
38C2×D4×Dic47C2211yescharacteristic
39C22×Dic47⋊C4C2211yescharacteristic
40C22×Dic47⋊C4C2211yescharacteristic
41C22×C4×Dic47C2211yescharacteristic
42C22×C4×Dic47C2211yescharacteristic
43C22×C4×Dic47C2211yescharacteristic
44C22×C4×Dic47C2211yescharacteristic
45C47⋊#401C2211yescharacteristic
46C47⋊#401C2211yescharacteristic
47#15689065C2211yescharacteristic
48#15689065C2211yescharacteristic
49#15689065C2211yescharacteristic
50#15689065C2211yescharacteristic
51#15689064C2211yescharacteristic
52#15689064C2211yescharacteristic
53#15689064C2211yescharacteristic
54#15689064C2211yescharacteristic
55#15689063C2211yescharacteristic
56#15689062C2211yescharacteristic
57#15689061C2211yescharacteristic
58#15689061C2211yescharacteristic
59#15689061C2211yescharacteristic
60#15689057C2211yescharacteristic
61#15689057C2211yescharacteristic
62#15689056C2211yescharacteristic
63#15689056C2211yescharacteristic
64#15689055C2211yescharacteristic
65#15689054C2211yescharacteristic
66#15689053C2211yescharacteristic
67#15689051C2211yescharacteristic
68#15689051C2211yescharacteristic
69#15689051C2211yescharacteristic
70#15689051C2211yescharacteristic
71#15689046C2211yescharacteristic
72#15689046C2211yescharacteristic
73#15689027C2211yescharacteristic
74#15689027C2211yescharacteristic
75#15689027C2211yescharacteristic
76#15689027C2211yescharacteristic
77#15689020C2211yescharacteristic
78#15689020C2211yescharacteristic
79#15689018C2211yescharacteristic
80#15689018C2211yescharacteristic
81#15689018C2211yescharacteristic
82#15689018C2211yescharacteristic
83#15689017C2211yescharacteristic
84#15689017C2211yescharacteristic
85#15689016C2211yescharacteristic
86#15689016C2211yescharacteristic
87#15689010C2211yescharacteristic
88#15689010C2211yescharacteristic
89#15689010C2211yescharacteristic
90#15689009C2211yescharacteristic
91#15689009C2211yescharacteristic
92#15689009C2211yescharacteristic
93#15689008C2211yescharacteristic
94#15689008C2211yescharacteristic
95#15689007C2211yescharacteristic
96#15689007C2211yescharacteristic
97#15689006C2211yescharacteristic
98#15689005C2211yescharacteristic
99#15689004C2211yescharacteristic
100#15689004C2211yescharacteristic
101#15689003C2211yescharacteristic
102#15688998C2211yescharacteristic
103#15688996C2211yescharacteristic
104#15688996C2211yescharacteristic
105#15688996C2211yescharacteristic
106#15688990C2211yescharacteristic
107#15688990C2211yescharacteristic
108#15688990C2211yescharacteristic
109#15688990C2211yescharacteristic
110#15688990C2211yescharacteristic
111#15688990C2211yescharacteristic
112#15688988C2211yescharacteristic
113#15688988C2211yescharacteristic
114#15688987C2211yescharacteristic
115#15688987C2211yescharacteristic
116#15688987C2211yescharacteristic
117#15688987C2211yescharacteristic
118#15688987C2211yescharacteristic
119#15688986C2211yescharacteristic
120#15688986C2211yescharacteristic
121#15688986C2211yescharacteristic
122#15688984C2211yescharacteristic
123#15688984C2211yescharacteristic
124#15688984C2211yescharacteristic
125#15688983C2211yescharacteristic
126#15688981C2211yescharacteristic
127#15688981C2211yescharacteristic
128#15688981C2211yescharacteristic
129#15688981C2211yescharacteristic
130#15688981C2211yescharacteristic
131#15688981C2211yescharacteristic
132C4⋊C4×Dic47C2211yescharacteristic
133C4⋊C4×Dic47C2211yescharacteristic
134C4⋊C4×Dic47C2211yescharacteristic
135C4⋊C4×Dic47C2211yescharacteristic
136C4⋊C4×Dic47C2211yescharacteristic
137C4⋊C4×Dic47C2211yescharacteristic
138C4⋊C4×Dic47C2211yescharacteristic
139C4×C4⋊Dic47C2211yescharacteristic
140#15688974C2211yescharacteristic
141#15688974C2211yescharacteristic
142#15688974C2211yescharacteristic
143#15688974C2211yescharacteristic
144#15688974C2211yescharacteristic
145#15688974C2211yescharacteristic
146#15688974C2211yescharacteristic
147#15688974C2211yescharacteristic
148#15688974C2211yescharacteristic
149#15688974C2211yescharacteristic
150#15688974C2211yescharacteristic
151#15688974C2211yescharacteristic
152#15688974C2211yescharacteristic
153#15688974C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C4×C22⋊Dic47C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic
166#15688968C2211yescharacteristic
167#15688968C2211yescharacteristic
168#15688968C2211yescharacteristic
169#15688968C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C47×#400C2211yescharacteristic
175C47×#398C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#397C2211yescharacteristic
178C47×#387C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#385C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#381C2211yescharacteristic
184C47×#381C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C23×Dic47C2311yescharacteristic
189C23×Dic47C2311yescharacteristic
190C23×Dic47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194#13094014—24no—
195#13094005—24no—
196#13094001—24no—
197#13094001—24no—
198#13093989—24no—
199D4×Dic47—24no—
200D4×Dic47—24no—
201C2×C4⋊Dic47C2311yescharacteristic
202C2×C4⋊Dic47C2311yescharacteristic
203C2×C4⋊Dic47C2311yescharacteristic
204C2×C4⋊Dic47C2311yescharacteristic
205C2×C4⋊Dic47C2311yescharacteristic
206C2×C4⋊Dic47C2311yescharacteristic
207C2×C4⋊Dic47C2311yescharacteristic
208C2×Dic47⋊C4—24no—
209C2×Dic47⋊C4—24no—
210C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
233C2×C22⋊Dic47C2311yescharacteristic
234C2×C22⋊Dic47C2311yescharacteristic
235C2×C22⋊Dic47C2311yescharacteristic
236C2×C22⋊Dic47C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C4×Dic47—24no—
243C2×C4×Dic47—24no—
244C2×C4×Dic47—24no—
245C2×C4×Dic47—24no—
246C2×C4×Dic47C2311yescharacteristic
247C2×C4×Dic47C2311yescharacteristic
248C2×C4×Dic47C2311yescharacteristic
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
270C47⋊#95C2311yescharacteristic
271C47⋊#95C2311yescharacteristic
272C47⋊#95C2311yescharacteristic
273C47⋊#95C2311yescharacteristic
274C47⋊#95C2311yescharacteristic
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
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C22×D4×C47C2311yescharacteristic
321C23×C4×C47C2311yescharacteristic
322C23×C4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325#123×C47—24no—
326C4×D4×C47—24no—
327C2×C4⋊C4×C47C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C22⋊C4×C47C2311yescharacteristic
335C2×C22⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C42×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
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47C2411yescharacteristic
358C24×C47C2411yescharacteristic
359C2×D4×C47—22no—
360C2×D4×C47—22no—
361C2×D4×C47#4114yes—
362C22×C4×C47—22no—
363C22×C4×C47—22no—
364C22×C4×C47—22no—
365C22×C4×C47—22no—
366C22×C4×C47—22no—
367C22×C4×C47—22no—
368C22×C4×C47—22no—
369C22×C4×C47—22no—
370C22×C4×C47—22no—
371C22×C4×C47—41no—
372C22×C4×C47—41no—
373C22×C4×C47—41no—
374C22×C4×C47C2411yescharacteristic
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2411yescharacteristic
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C22×C4×C47C2411yescharacteristic
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×Dic47—22no—
388C22×Dic47—22no—
389C22×Dic47—22no—
390C22×Dic47—22no—
391C22×Dic47—22no—
392C22×Dic47—22no—
393C22×Dic47—22no—
394C22×Dic47—22no—
395C22×Dic47—22no—
396C22×Dic47—22no—
397C22×Dic47—22no—
398C22×Dic47—22no—
399C22×Dic47—22no—
400C22×Dic47—22no—
401C22×Dic47—22no—
402C22×Dic47—41no—
403C22×Dic47#4114yes—
404C22×Dic47#4114yes—
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C2×Dic94—22no—
422C2×Dic94—22no—
423C2×Dic94—22no—
424C4⋊C4×C47—22no—
425C4⋊C4×C47—22no—
426C4⋊C4×C47—22no—
427C4⋊C4×C47—22no—
428C4⋊C4×C47—22no—
429C4⋊C4×C47—41no—
430C4⋊C4×C47—41no—
431C22⋊C4×C47—22no—
432C22⋊C4×C47—22no—
433C22⋊C4×C47—22no—
434C22⋊C4×C47—22no—
435C22⋊C4×C47—22no—
436C22⋊C4×C47—22no—
437C22⋊C4×C47—22no—
438C22⋊C4×C47—41no—
439C42×C47—22no—
440C22⋊Dic47—22no—
441C22⋊Dic47—22no—
442C22⋊Dic47—22no—
443C22⋊Dic47—22no—
444C22⋊Dic47—22no—
445C22⋊Dic47—22no—
446C22⋊Dic47—22no—
447C22⋊Dic47—22no—
448C22⋊Dic47—22no—
449C22⋊Dic47—41no—
450C4⋊Dic47—22no—
451C4⋊Dic47—22no—
452C4⋊Dic47—22no—
453C4⋊Dic47—22no—
454C4⋊Dic47—22no—
455C4⋊Dic47—41no—
456C4⋊Dic47—41no—
457Dic47⋊C4—22no—
458Dic47⋊C4—22no—
459Dic47⋊C4—22no—
460Dic47⋊C4—22no—
461Dic47⋊C4—22no—
462Dic47⋊C4—22no—
463Dic47⋊C4—22no—
464Dic47⋊C4—22no—
465Dic47⋊C4—22no—
466Dic47⋊C4—22no—
467Dic47⋊C4—22no—
468Dic47⋊C4—22no—
469Dic47⋊C4—22no—
470Dic47⋊C4—22no—
471Dic47⋊C4—22no—
472Dic47⋊C4—22no—
473Dic47⋊C4—22no—
474Dic47⋊C4—41no—
475Dic47⋊C4—41no—
476Dic47⋊C4—41no—
477Dic47⋊C4—41no—
478Dic47⋊C4#4114yes—
479C4×Dic47—22no—
480C4×Dic47—22no—
481C4×Dic47—22no—
482C4×Dic47—22no—
483C4×Dic47—22no—
484C4×Dic47—22no—
485C4×Dic47—22no—
486C4×Dic47—22no—
487C4×Dic47—22no—
488C4×Dic47—22no—
489C4×Dic47—22no—
490C4×Dic47—22no—
491C4×Dic47—22no—
492C4×Dic47—22no—
493C4×Dic47—22no—
494C4×Dic47—22no—
495C4×Dic47—22no—
496C4×Dic47—22no—
497C4×Dic47—22no—
498C4×Dic47—22no—
499C4×Dic47—22no—
500C4×Dic47—22no—
501C4×Dic47—41no—
502C4×Dic47#4114yes—
503C23×C47—21no—
504C23×C47—21no—
505C23×C47—21no—
506C23×C47—21no—
507C23×C47—21no—
508C23×C47—21no—
509C23×C47—21no—
510C23×C47—21no—
511C23×C47—21no—
512C23×C47—21no—
513C23×C47C2×#4112yes—
514C23×C47C2×#4112yes—
515C23×C47C2×#4112yes—
516C23×C47C2×#4112yes—
517C23×C47C2511yescharacteristic
518D4×C47—28no—
519C2×C4×C47—21no—
520C2×C4×C47—21no—
521C2×C4×C47—21no—
522C2×C4×C47—21no—
523C2×C4×C47—21no—
524C2×C4×C47—21no—
525C2×C4×C47—21no—
526C2×C4×C47—21no—
527C2×C4×C47—21no—
528C2×C4×C47—21no—
529C2×C4×C47—21no—
530C2×C4×C47—21no—
531C2×C4×C47—21no—
532C2×C4×C47—21no—
533C2×C4×C47—21no—
534C2×C4×C47—21no—
535C2×C4×C47—21no—
536C2×C4×C47—21no—
537C2×C4×C47—21no—
538C2×C4×C47—21no—
539C2×C4×C47—21no—
540C2×C4×C47—21no—
541C2×C4×C47—21no—
542C2×C4×C47—21no—
543C2×C4×C47—21no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—44no—
556C2×C4×C47—44no—
557C2×C4×C47—44no—
558C2×C4×C47—44no—
559C2×C4×C47C2×#4112yes—
560C2×C4×C47C2×#4112yes—
561C2×C4×C47C2×#4112yes—
562C2×Dic47—21no—
563C2×Dic47—21no—
564C2×Dic47—21no—
565C2×Dic47—21no—
566C2×Dic47—21no—
567C2×Dic47—21no—
568C2×Dic47—28no—
569C2×Dic47—28no—
570C2×Dic47—21no—
571C2×Dic47—21no—
572C2×Dic47—21no—
573C2×Dic47—21no—
574C2×Dic47—21no—
575C2×Dic47—21no—
576C2×Dic47—21no—
577C2×Dic47—21no—
578C2×Dic47—21no—
579C2×Dic47—21no—
580C2×Dic47—21no—
581C2×Dic47—21no—
582C2×Dic47—21no—
583C2×Dic47—21no—
584C2×Dic47—21no—
585C2×Dic47—21no—
586C2×Dic47—21no—
587C2×Dic47—21no—
588C2×Dic47—21no—
589C2×Dic47—21no—
590C2×Dic47—21no—
591C2×Dic47—21no—
592C2×Dic47—21no—
593C2×Dic47—21no—
594C2×Dic47—21no—
595C2×Dic47—21no—
596C2×Dic47—21no—
597C2×Dic47—21no—
598C2×Dic47—21no—
599C2×Dic47—21no—
600C2×Dic47—21no—
601C2×Dic47—21no—
602C2×Dic47—21no—
603C2×Dic47—44no—
604C2×Dic47—44no—
605C2×Dic47—44no—
606C2×Dic47—44no—
607C2×Dic47C2×#4112yes—
608C2×Dic47C2×#4112yes—
609C2×Dic47C2×#4112yes—
610C2×Dic47C2×#4112yes—
611C2×Dic47C2×#4112yes—
612C2×Dic47C2×#4112yes—
613C2×Dic47C2×#4112yes—
614C2×Dic47C2×#4112yes—
615C2×Dic472−1+412yes—
616Dic94—44no—
617#34780—471nomaximal, Sylow
618C22×C47—22no—
619C22×C47—22no—
620C22×C47—22no—
621C22×C47—22no—
622C22×C47—22no—
623C22×C47—22no—
624C22×C47—22no—
625C22×C47—22no—
626C22×C47—22no—
627C22×C47—41no—
628C22×C47—41no—
629C22×C47—41no—
630C22×C47—41no—
631C22×C47#52914yes—
632C22×C47C22×#4111yescharacteristic
633C22×C47C22×#4111yescharacteristic
634C22×C47C22×#4111yescharacteristic
635C22×C47C22×#4111yescharacteristic
636C22×C47C22×#4111yescharacteristic
637C22×C47C2×2−1+411yescharacteristic
638C22×C47#58511yescharacteristic
639C4×C47—22no—
640C4×C47—22no—
641C4×C47—22no—
642C4×C47—41no—
643C4×C47—41no—
644C4×C47—41no—
645C4×C47—41no—
646C4×C47—41no—
647C4×C47—41no—
648C4×C47—41no—
649C4×C47—41no—
650C4×C47—41no—
651C4×C47—41no—
652Dic47—22no—
653Dic47—22no—
654Dic47—22no—
655Dic47—41no—
656Dic47—41no—
657Dic47—41no—
658Dic47—41no—
659Dic47—41no—
660Dic47—41no—
661Dic47—41no—
662Dic47—41no—
663Dic47—41no—
664Dic47—41no—
665Dic47—41no—
666Dic47#52914yes—
667Dic47#55214yes—
668#2524—471no—
669#2524—471no—
670#2515—471no—
671#2515—471no—
672#2514—471no—
673#2508—471no—
674#2503—471no—
675#2495—471no—
676#2493—471no—
677#2493—471no—
678#2489—471no—
679#2486—471no—
680#2442—471no—
681#2419—471no—
682#2419D4711yescharacteristic
683#2417—471no—
684#2402—471no—
685#2402—471no—
686#2401—471no—
687#2401—471no—
688C4×#125—471no—
689C4×C22⋊Q8—471no—
690C4×C22⋊Q8—471no—
691C4×#123—471no—
692C4×#123—471no—
693#2295—471no—
694#2283—471no—
695#2283—471no—
696#2283—471no—
697C42×D4—471no—
698C2×C4×C4⋊C4—471no—
699C2×C47—24no—
700C2×C47—42no—
701C2×C47C2×#52911yescharacteristic
702C2×C47C2×#52911yescharacteristic
703C2×C47#346111yescharacteristic
704C2×C47C2×#55211yescharacteristic
705C2×C47#347511yescharacteristic
706C2×C47#347511yescharacteristic
707C2×C47#348211yescharacteristic
708C2×#125—471no—
709C2×#123—471no—
710C2×#123C2×D4711yescharacteristic
711C2×C22⋊Q8—471no—
712C2×C22⋊Q8—471no—
713C2×C4×Q8—471no—
714C2×C4×D4—471no—
715C2×C4×D4—471no—
716C2×C4×D4C2×D4711yescharacteristic
717C22×C4⋊C4—471no—
718C22×C4⋊C4—471no—
719C22×C42—471no—
720C22×C42—471no—
721C22×C42—471no—
722C22×C42—471no—
723#401—471no—
724#401—471no—
725#400—471no—
726#400—471no—
727#400—471no—
728#400—471no—
729#400—471no—
730#400—471no—
731#400—471no—
732#400—471no—
733#400—471no—
734#400—471no—
735#400—471no—
736#400—471no—
737#400—471no—
738#400C2×D4711yescharacteristic
739#398—471no—
740#398—471no—
741#398—471no—
742#398—471no—
743#398—471no—
744#398—471no—
745#398—471no—
746#398C2×D4711yescharacteristic
747#397—471no—
748#397—471no—
749#397—471no—
750#397—471no—
751#397C2×D4711yescharacteristic
752#397C2×D4711yescharacteristic
753#396—471no—
754#396—471no—
755#391—471no—
756#391—471no—
757#391—471no—
758#391—471no—
759#389—471no—
760#389—471no—
761#389—471no—
762#389—471no—
763#389—471no—
764#389—471no—
765#388—471no—
766#388—471no—
767#388—471no—
768#388—471no—
769#387—471no—
770#387—471no—
771#387—471no—
772#387—471no—
773#387—471no—
774#387—471no—
775#387—471no—
776#387—471no—
777#387—471no—
778#387—471no—
779#387—471no—
780#387—471no—
781#387—471no—
782#387—471no—
783#387C2×D4711yescharacteristic
784#387C2×D4711yescharacteristic
785#386—471no—
786#386C2×D4711yescharacteristic
787#385—471no—
788#385—471no—
789#385—471no—
790#385—471no—
791#385C2×D4711yescharacteristic
792#385C2×D4711yescharacteristic
793#383—471no—
794#383—471no—
795#383—471no—
796#383—471no—
797#383—471no—
798#383—471no—
799#382—471no—
800#382—471no—
801#382—471no—
802#382—471no—
803#382—471no—
804#382—471no—
805#382—471no—
806#381—471no—
807#381—471no—
808#381—471no—
809#381—471no—
810#381—471no—
811#381—471no—
812#381C2×D4711yescharacteristic
813#381C2×D4711yescharacteristic
814#380—471no—
815#380—471no—
816#380—471no—
817#380—471no—
818#380—471no—
819#380—471no—
820#380—471no—
821#380C2×D4711yescharacteristic
822C4×C4⋊C4—471no—
823C4×C4⋊C4—471no—
824C4×C4⋊C4—471no—
825C4×C4⋊C4—471no—
826C4×C4⋊C4—471no—
827C4×C4⋊C4—471no—
828C4×C4⋊C4—471no—
829C4×C4⋊C4—471no—
830C4×C4⋊C4—471no—
831C4×C4⋊C4—471no—
832C4×C4⋊C4—471no—
833C4×C4⋊C4—471no—
834C4×C4⋊C4—471no—
835C4×C4⋊C4—471no—
836C4×C4⋊C4—471no—
837C4×C4⋊C4—471no—
838C4×C4⋊C4—471no—
839C4×C4⋊C4—471no—
840C4×C4⋊C4—471no—
841C4×C4⋊C4—471no—
842C4×C4⋊C4—471no—
843C4×C4⋊C4—471no—
844C4×C22⋊C4—471no—
845C4×C22⋊C4—471no—
846C4×C22⋊C4—471no—
847C4×C22⋊C4—471no—
848C4×C22⋊C4—471no—
849C4×C22⋊C4—471no—
850C4×C22⋊C4—471no—
851C4×C22⋊C4—471no—
852C4×C22⋊C4—471no—
853C4×C22⋊C4—471no—
854C4×C22⋊C4—471no—
855C4×C22⋊C4—471no—
856#376—471no—
857#376—471no—
858#376—471no—
859#376—471no—
860C2×#95—471no—
861C2×#95C2×D4711yescharacteristic
862C43—471no—
863C47#3478011yescharacteristic, complemented, Sylow
864C22×Q8—471no—
865C22×D4C22×D4711yescharacteristic
866C23×C4—471no—
867C23×C4—471no—
868C23×C4—471no—
869C23×C4—471no—
870C23×C4—471no—
871C23×C4—471no—
872C23×C4C22×D4711yescharacteristic
873C23×C4C22×D4711yescharacteristic
874C23×C4C22×D4711yescharacteristic
875C23×C4C22×D4711yescharacteristic
876#125—944no—
877#123—24no—
878#123—944no—
879C22⋊Q8—944no—
880C22⋊Q8—944no—
881C4×Q8—944no—
882C4×D4—24no—
883C4×D4—944no—
884C4×D4—944no—
885C2×C4⋊C4—471no—
886C2×C4⋊C4—471no—
887C2×C4⋊C4—471no—
888C2×C4⋊C4—471no—
889C2×C4⋊C4—471no—
890C2×C4⋊C4—471no—
891C2×C4⋊C4—471no—
892C2×C4⋊C4—471no—
893C2×C4⋊C4—471no—
894C2×C4⋊C4—471no—
895C2×C4⋊C4—471no—
896C2×C4⋊C4—471no—
897C2×C4⋊C4—471no—
898C2×C4⋊C4—471no—
899C2×C4⋊C4—471no—
900C2×C4⋊C4—471no—
901C2×C4⋊C4—471no—
902C2×C4⋊C4—471no—
903C2×C4⋊C4—471no—
904C2×C4⋊C4—471no—
905C2×C4⋊C4—471no—
906C2×C4⋊C4—471no—
907C2×C4⋊C4—471no—
908C2×C4⋊C4—471no—
909C2×C4⋊C4—471no—
910C2×C4⋊C4—471no—
911C2×C4⋊C4—471no—
912C2×C4⋊C4—471no—
913C2×C4⋊C4—471no—
914C2×C4⋊C4—944no—
915C2×C4⋊C4—944no—
916C2×C4⋊C4C22×D4711yescharacteristic
917C2×C4⋊C4C22×D4711yescharacteristic
918C2×C4⋊C4C22×D4711yescharacteristic
919C2×C4⋊C4C22×D4711yescharacteristic
920C2×C4⋊C4C22×D4711yescharacteristic
921C2×C4⋊C4C22×D4711yescharacteristic
922C2×C4⋊C4C22×D4711yescharacteristic
923C2×C22⋊C4—471no—
924C2×C22⋊C4—471no—
925C2×C22⋊C4—471no—
926C2×C22⋊C4—471no—
927C2×C22⋊C4—471no—
928C2×C22⋊C4—471no—
929C2×C22⋊C4—471no—
930C2×C22⋊C4—471no—
931C2×C22⋊C4—471no—
932C2×C22⋊C4—471no—
933C2×C22⋊C4C22×D4711yescharacteristic
934C2×C22⋊C4C22×D4711yescharacteristic
935C2×C22⋊C4C22×D4711yescharacteristic
936C2×C22⋊C4C22×D4711yescharacteristic
937C2×C22⋊C4C22×D4711yescharacteristic
938C2×C22⋊C4C22×D4711yescharacteristic
939C2×C22⋊C4C22×D4711yescharacteristic
940C2×C22⋊C4C22×D4711yescharacteristic
941C2×C42—471no—
942C2×C42—471no—
943C2×C42—471no—
944C2×C42—471no—
945C2×C42—471no—
946C2×C42—471no—
947C2×C42—471no—
948C2×C42—471no—
949C2×C42—471no—
950C2×C42—471no—
951C2×C42—471no—
952C2×C42—471no—
953C2×C42—471no—
954C2×C42—471no—
955C2×C42—471no—
956C2×C42—471no—
957C2×C42—471no—
958C2×C42—471no—
959C2×C42—471no—
960C2×C42—471no—
961C2×C42—471no—
962C2×C42—471no—
963C2×C42—471no—
964C2×C42—471no—
965C2×C42—944no—
966C2×C42—944no—
967C2×C42—944no—
968C2×C42—944no—
969C2×C42C22×D4711yescharacteristic
970#95—471no—
971#95—471no—
972#95—471no—
973#95—471no—
974#95—471no—
975#95—471no—
976#95—471no—
977#95—471no—
978#95—471no—
979#95—471no—
980#95—471no—
981#95—471no—
982#95—471no—
983#95—471no—
984#95—471no—
985#95—471no—
986#95—471no—
987#95—471no—
988#95—471no—
989#95—471no—
990#95—471no—
991#95—471no—
992#95—471no—
993#95—471no—
994#95—471no—
995#95—471no—
996#95—471no—
997#95—471no—
998#95—471no—
999#95—471no—
1000#95—471no—
1001#95—471no—
1002#95—471no—
1003#95—471no—
1004#95—471no—
1005#95—471no—
1006#95—471no—
1007#95—471no—
1008#95—471no—
1009#95—471no—
1010#95—471no—
1011#95—471no—
1012#95—471no—
1013#95—471no—
1014#95—471no—
1015#95—471no—
1016#95—471no—
1017#95—471no—
1018#95—471no—
1019#95—471no—
1020#95C22×D4711yescharacteristic
1021#95C22×D4711yescharacteristic
1022#95C22×D4711yescharacteristic
1023#95C22×D4711yescharacteristic
1024#95C22×D4711yescharacteristic
1025#95C22×D4711yescharacteristic
1026#95C22×D4711yescharacteristic
1027#95C22×D4711yescharacteristic
1028#95C22×D4711yescharacteristic
1029#95C22×D4711yescharacteristic
1030#95C22×D4711yescharacteristic
1031#95C22×D4711yescharacteristic
1032#95C22×D4711yescharacteristic
1033#95C22×D4711yescharacteristic
1034C24C23×D4711yescharacteristic
1035C24C23×D4711yescharacteristic
1036C2×Q8—942no—
1037C2×Q8—942no—
1038C2×Q8—942no—
1039C2×D4—22no—
1040C2×D4—22no—
1041C2×D4#1062535214yes—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—471no—
1055C22×C4—471no—
1056C22×C4—474no—
1057C22×C4—474no—
1058C22×C4—471no—
1059C22×C4—471no—
1060C22×C4—471no—
1061C22×C4—471no—
1062C22×C4—471no—
1063C22×C4—471no—
1064C22×C4—471no—
1065C22×C4—471no—
1066C22×C4—471no—
1067C22×C4—471no—
1068C22×C4—471no—
1069C22×C4—471no—
1070C22×C4—471no—
1071C22×C4—471no—
1072C22×C4—942no—
1073C22×C4—942no—
1074C22×C4—942no—
1075C22×C4—942no—
1076C22×C4—942no—
1077C22×C4—942no—
1078C22×C4—942no—
1079C22×C4—942no—
1080C22×C4—942no—
1081C22×C4—942no—
1082C22×C4—942no—
1083C22×C4—942no—
1084C22×C4—942no—
1085C22×C4—942no—
1086C22×C4—942no—
1087C22×C4—1881no—
1088C22×C4C23×D4711yescharacteristic
1089C22×C4C23×D4711yescharacteristic
1090C22×C4C23×D4711yescharacteristic
1091C22×C4C23×D4711yescharacteristic
1092C22×C4C23×D4711yescharacteristic
1093C22×C4C23×D4711yescharacteristic
1094C22×C4C23×D4711yescharacteristic
1095C22×C4C23×D4711yescharacteristic
1096C22×C4C23×D4711yescharacteristic
1097C22×C4C23×D4711yescharacteristic
1098C22×C4C23×D4711yescharacteristic
1099C22×C4C23×D4711yescharacteristic
1100C22×C4C23×D4711yescharacteristic
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—474no—
1109C4⋊C4—942no—
1110C4⋊C4—942no—
1111C4⋊C4—942no—
1112C4⋊C4—942no—
1113C4⋊C4—942no—
1114C4⋊C4—942no—
1115C4⋊C4—942no—
1116C4⋊C4—942no—
1117C4⋊C4—942no—
1118C4⋊C4—942no—
1119C4⋊C4—942no—
1120C4⋊C4—942no—
1121C4⋊C4—942no—
1122C4⋊C4—942no—
1123C4⋊C4—942no—
1124C4⋊C4—942no—
1125C4⋊C4—942no—
1126C4⋊C4—942no—
1127C4⋊C4—942no—
1128C4⋊C4—942no—
1129C4⋊C4—942no—
1130C4⋊C4—942no—
1131C4⋊C4—1881no—
1132C4⋊C4—1881no—
1133C4⋊C4—1881no—
1134C4⋊C4—1881no—
1135C4⋊C4—1881no—
1136C4⋊C4—1881no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—41no—
1145C22⋊C4—942no—
1146C22⋊C4—942no—
1147C22⋊C4—942no—
1148C22⋊C4—942no—
1149C22⋊C4—942no—
1150C22⋊C4—942no—
1151C22⋊C4—942no—
1152C22⋊C4—942no—
1153C22⋊C4—942no—
1154C22⋊C4—1881no—
1155C42—22no—
1156C42—474no—
1157C42—942no—
1158C42—942no—
1159C42—942no—
1160C42—942no—
1161C42—942no—
1162C42—942no—
1163C42—942no—
1164C42—942no—
1165C42—942no—
1166C42—942no—
1167C42—942no—
1168C42—942no—
1169C42—942no—
1170C42—942no—
1171C42—942no—
1172C42—942no—
1173C42—942no—
1174C42—942no—
1175C42—942no—
1176C42—942no—
1177C42—942no—
1178C42—942no—
1179C42—1881no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23#41×D4712yes—
1191C23#41×D4712yes—
1192C23C2×#1062535212yes—
1193C23C2×#1062535212yes—
1194C23C24×D4711yescharacteristic
1195Q8—1884no—
1196D4—28no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—44no—
1234C2×C4—44no—
1235C2×C4—44no—
1236C2×C4—44no—
1237C2×C4—472no—
1238C2×C4—472no—
1239C2×C4—472no—
1240C2×C4—472no—
1241C2×C4—472no—
1242C2×C4—472no—
1243C2×C4—472no—
1244C2×C4—472no—
1245C2×C4—472no—
1246C2×C4—948no—
1247C2×C4—948no—
1248C2×C4—941no—
1249C2×C4—941no—
1250C2×C4—941no—
1251C2×C4—941no—
1252C2×C4—941no—
1253C2×C4—941no—
1254C2×C4—941no—
1255C2×C4—941no—
1256C2×C4—941no—
1257C2×C4—941no—
1258C2×C4—941no—
1259C2×C4—941no—
1260C2×C4—941no—
1261C2×C4—941no—
1262C2×C4—941no—
1263C2×C4—941no—
1264C2×C4—941no—
1265C2×C4—941no—
1266C2×C4—941no—
1267C2×C4—941no—
1268C2×C4—941no—
1269C2×C4—941no—
1270C2×C4—941no—
1271C2×C4—941no—
1272C2×C4—941no—
1273C2×C4—941no—
1274C2×C4—941no—
1275C2×C4—941no—
1276C2×C4—941no—
1277C2×C4—941no—
1278C2×C4—941no—
1279C2×C4—941no—
1280C2×C4—941no—
1281C2×C4—941no—
1282C2×C4—941no—
1283C2×C4—941no—
1284C2×C4—941no—
1285C2×C4—941no—
1286C2×C4—941no—
1287C2×C4—1884no—
1288C2×C4—1884no—
1289C2×C4—1884no—
1290C2×C4—1884no—
1291C2×C4#41×D4712yes—
1292C2×C4#41×D4712yes—
1293C2×C4C2×#1062535212yes—
1294C22—22no—
1295C22—22no—
1296C22—22no—
1297C22—22no—
1298C22—22no—
1299C22—22no—
1300C22—22no—
1301C22—22no—
1302C22—22no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22—41no—
1307C22#1568965014yes—
1308C22C2×#41×D4711yescharacteristic
1309C22C2×#41×D4711yescharacteristic
1310C22C2×#41×D4711yescharacteristic
1311C22C2×#41×D4711yescharacteristic
1312C22C22×#1062535211yescharacteristic
1313C222−1+4×D4711yescharacteristic
1314C22#1568995811yescharacteristic
1315C4—22no—
1316C4—22no—
1317C4—22no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—474no—
1329C4—474no—
1330C4—942no—
1331C4—942no—
1332C4—942no—
1333C4—1881no—
1334C4—1881no—
1335C4—1881no—
1336C4—1881no—
1337C4—1881no—
1338C4—1881no—
1339C4—1881no—
1340C4—1881no—
1341C4—1881no—
1342C4—1881no—
1343C4—1881no—
1344C2—24no—
1345C2—42no—
1346C2#529×D4711yescharacteristic
1347C2C2×#1568965011yescharacteristic
1348C2#2025681811yescharacteristic
1349C2#552×D4711yescharacteristic
1350C2#2025693911yescharacteristic
1351C2#2025694311yescharacteristic
1352C2#2025700011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2419C2
prime radicalC22×D4×C47C23
hypercenter#2419D47
hypocenterC47#34780
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
1. #20248136C2semidirect
2. #20248128C2semidirect
3. #20248011C2semidirect
4. #20248003C2semidirect
5. #20247991C2semidirect
6. #20247921C2semidirect
7. #20247871C2semidirect
8. #20247792C2semidirect
9. #20247775C2semidirect
10. #20247773C2semidirect
11. #20247722C2semidirect
13. #20247109C2semidirect
16. #20246694C2semidirect
17. #20246692C2semidirect
18. #20246685C2semidirect
19. #20246685C2semidirect
20. #20245945C2semidirect
21. #20245920C2semidirect
22. #20245920C2semidirect
25. #20245861C2semidirect
26. #20245783C2semidirect
27. #20245779C2semidirect
28. #20245779C2semidirect
30. C2×#15688974C2semidirect
863. C47#34780semidirect

Maximal subgroups

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

subgroupindex
#202481362
#202481282
#202480112
#202480032
#202479912
#202479212
#202478712
#202477922
#202477752
#202477732
#202477222
#202476932
#202471092
#202468592
#202468362
#202466942
#202466922
#202466852
#202459452
#202459202
#202459132
#123×Dic472
#202458612
#202457832
#202457792
C4×D4×Dic472
C2×#156889742
C47×#24192
#3478047