Finite Group Databasebeta

← #26233208

Subgroups — #26233208

Order 12032.

1212 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689176C211yesmaximal, characteristic, complemented
2C2×#15689087C211yesmaximal, characteristic
3#20244003C212yesmaximal, complemented
4#20243996C212yesmaximal, complemented
5#20243573C212yesmaximal, complemented
6#20243456C211yesmaximal, characteristic, complemented
7#20243368C211yesmaximal, characteristic, complemented
8#20243298C211yesmaximal, characteristic
9#20243172C212yesmaximal, complemented
10#20243150C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊C4×C47C211yesmaximal, characteristic
12C22×#10625329C2212yes—
13#15689176—24no—
14C2×C4⋊(C47⋊C8)C2212yescomplemented
15C2×C4⋊(C47⋊C8)C2212yescomplemented
16#15689087—24no—
17C2×C22⋊(C47⋊C8)C2211yescharacteristic
18C2×C22⋊(C47⋊C8)C2211yescharacteristic
19C2×C22⋊(C47⋊C8)C2212yes—
20C2×C22⋊(C47⋊C8)C2211yescharacteristic
21C2×C22⋊(C47⋊C8)C2212yes—
22C2×C22⋊(C47⋊C8)C2212yes—
23C2×C22⋊(C47⋊C8)C2211yescharacteristic
24C2×#13093935C2212yescomplemented
25C2×C4×C47⋊C8C2212yescomplemented
26#15688878C2212yescomplemented
27#15688878C2212yescomplemented
28#15688878C2212yescomplemented
29#15688878C2212yescomplemented
30C24×C4×C47C2211yescharacteristic
31C22×C22⋊C4×C47C411yescharacteristic
32C22×C22⋊C4×C47C411yescharacteristic
33C22×C42×C47C2211yescharacteristic
34C22×C42×C47C2211yescharacteristic
35C4×C22⋊C4×C47C411yescharacteristic
36C4×C22⋊C4×C47C411yescharacteristic
37C4×C22⋊C4×C47C411yescharacteristic
38C4×C22⋊C4×C47C411yescharacteristic
39C4×C22⋊C4×C47C2211yescharacteristic
40C4×C22⋊C4×C47C2211yescharacteristic
41C4×C22⋊C4×C47C2211yescharacteristic
42C4×C22⋊C4×C47C2211yescharacteristic
43C2×#95×C47C411yescharacteristic
44C2×#95×C47C411yescharacteristic
45C2×#10625329—24no—
46C2×#10625329—24no—
47C2×#10625329—42no—
48C22×C47⋊C8C2312yes—
49C22×C47⋊C8C2312yes—
50C22×C47⋊C8C2312yes—
51C22×C47⋊C8C2312yes—
52C4⋊(C47⋊C8)—24no—
53C4⋊(C47⋊C8)—42no—
54C22⋊(C47⋊C8)—22no—
55C22⋊(C47⋊C8)—22no—
56C22⋊(C47⋊C8)—24no—
57C22⋊(C47⋊C8)—22no—
58C22⋊(C47⋊C8)—24no—
59C22⋊(C47⋊C8)—42no—
60C22⋊(C47⋊C8)D414yes—
61#13093935—42no—
62C4×C47⋊C8—24no—
63C25×C47C2×C411yescharacteristic
64C23×C4×C47—22no—
65C23×C4×C47—24no—
66C23×C4×C47—22no—
67C23×C4×C47—42no—
68C23×C4×C47C2×C411yescharacteristic
69C23×C4×C47C2×C411yescharacteristic
70C23×C4×C47C2×C411yescharacteristic
71C23×C4×C47C2×C411yescharacteristic
72C23×C4×C47C2×C411yescharacteristic
73C23×C4×C47C2×C411yescharacteristic
74C23×C4×C47C2×C411yescharacteristic
75C23×C4×C47C2311yescharacteristic
76C23×C4×C47C2311yescharacteristic
77C23×C4×C47C2311yescharacteristic
78C2×C22⋊C4×C47—24no—
79C2×C22⋊C4×C47—24no—
80C2×C22⋊C4×C47C2×C411yescharacteristic
81C2×C22⋊C4×C47C2×C411yescharacteristic
82C2×C22⋊C4×C47C2×C411yescharacteristic
83C2×C22⋊C4×C47C2×C411yescharacteristic
84C2×C22⋊C4×C47C2×C411yescharacteristic
85C2×C22⋊C4×C47C2×C411yescharacteristic
86C2×C22⋊C4×C47C2×C411yescharacteristic
87C2×C22⋊C4×C47C2×C411yescharacteristic
88C2×C42×C47—22no—
89C2×C42×C47—22no—
90C2×C42×C47—42no—
91C2×C42×C47C2×C411yescharacteristic
92C2×C42×C47C2×C411yescharacteristic
93C2×C42×C47C2×C411yescharacteristic
94C2×C42×C47C2×C411yescharacteristic
95C2×C42×C47C2311yescharacteristic
96C2×C42×C47C2311yescharacteristic
97C2×C42×C47C2311yescharacteristic
98C2×C42×C47C2311yescharacteristic
99#95×C47C2×C411yescharacteristic
100#95×C47C2×C411yescharacteristic
101#95×C47C2×C411yescharacteristic
102#95×C47C2×C411yescharacteristic
103#95×C47C2×C411yescharacteristic
104#95×C47C2×C411yescharacteristic
105#95×C47C2×C411yescharacteristic
106#95×C47C2×C411yescharacteristic
107C24×C47—22no—
108C24×C47—22no—
109C24×C47—22no—
110C24×C47—22no—
111C24×C47—22no—
112C24×C47—41no—
113C24×C47—41no—
114C24×C47C22×C411yescharacteristic
115C24×C47C22×C411yescharacteristic
116C24×C47C22×C411yescharacteristic
117C22×C4×C47—22no—
118C22×C4×C47—22no—
119C22×C4×C47—21no—
120C22×C4×C47—22no—
121C22×C4×C47—21no—
122C22×C4×C47—22no—
123C22×C4×C47—22no—
124C22×C4×C47—22no—
125C22×C4×C47—22no—
126C22×C4×C47—22no—
127C22×C4×C47—22no—
128C22×C4×C47—22no—
129C22×C4×C47—22no—
130C22×C4×C47—22no—
131C22×C4×C47—22no—
132C22×C4×C47—22no—
133C22×C4×C47—22no—
134C22×C4×C47—22no—
135C22×C4×C47—21no—
136C22×C4×C47—22no—
137C22×C4×C47—21no—
138C22×C4×C47—22no—
139C22×C4×C47—41no—
140C22×C4×C47—41no—
141C22×C4×C47—41no—
142C22×C4×C47—41no—
143C22×C4×C47—41no—
144C22×C4×C47—41no—
145C22×C4×C47—41no—
146C22×C4×C47—48no—
147C22×C4×C47—48no—
148C22×C4×C47M1614yescomplemented
149C22×C4×C47C22×C411yescharacteristic
150C22×C4×C47C22×C411yescharacteristic
151C22×C4×C47C22×C411yescharacteristic
152C22×C4×C47C22×C411yescharacteristic
153C22×C4×C47C22×C411yescharacteristic
154C22×C4×C47C22×C411yescharacteristic
155C22×C4×C47C22×C411yescharacteristic
156C22×C4×C47C22×C411yescharacteristic
157C22×C4×C47C22×C411yescharacteristic
158C22×C4×C47C22×C411yescharacteristic
159C22×C4×C47C22×C411yescharacteristic
160C22×C4×C47C2×D412yes—
161C22×C4×C47#4114yes—
162C22×C4×C47#4112yes—
163C22×C4×C47C2411yescharacteristic
164C22⋊C4×C47—22no—
165C22⋊C4×C47—22no—
166C22⋊C4×C47—22no—
167C22⋊C4×C47—22no—
168C22⋊C4×C47—22no—
169C22⋊C4×C47—22no—
170C22⋊C4×C47—22no—
171C22⋊C4×C47M1614yescomplemented
172C42×C47—22no—
173C42×C47—22no—
174C42×C47—21no—
175C42×C47—21no—
176C42×C47—21no—
177C42×C47—21no—
178C42×C47—22no—
179C42×C47—22no—
180C42×C47—41no—
181C42×C47—41no—
182#10625329—48no—
183C2×C47⋊C8—22no—
184C2×C47⋊C8—22no—
185C2×C47⋊C8—22no—
186C2×C47⋊C8—22no—
187C2×C47⋊C8—22no—
188C2×C47⋊C8—22no—
189C2×C47⋊C8—22no—
190C2×C47⋊C8—22no—
191C2×C47⋊C8—22no—
192C2×C47⋊C8—22no—
193C2×C47⋊C8—22no—
194C2×C47⋊C8C2×D414yes—
195C23×C47—21no—
196C23×C47—21no—
197C23×C47—21no—
198C23×C47—21no—
199C23×C47—28no—
200C23×C47—21no—
201C23×C47—21no—
202C23×C47—21no—
203C23×C47—21no—
204C23×C47—21no—
205C23×C47—21no—
206C23×C47—21no—
207C23×C47—21no—
208C23×C47—21no—
209C23×C47—21no—
210C23×C47—21no—
211C23×C47—21no—
212C23×C47—44no—
213C23×C47—44no—
214C23×C47—44no—
215C23×C47—44no—
216C23×C47—44no—
217C23×C47—44no—
218C23×C47#11712yes—
219C23×C47C4×D412yes—
220C23×C47C2×M1612yes—
221C23×C47C2×M1612yes—
222C23×C47#13112yes—
223C23×C47C23×C411yescharacteristic
224C2×C4×C47—21no—
225C2×C4×C47—21no—
226C2×C4×C47—21no—
227C2×C4×C47—21no—
228C2×C4×C47—21no—
229C2×C4×C47—21no—
230C2×C4×C47—21no—
231C2×C4×C47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—28no—
237C2×C4×C47—24no—
238C2×C4×C47—24no—
239C2×C4×C47—24no—
240C2×C4×C47—24no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—44no—
257C2×C4×C47—44no—
258C2×C4×C47—44no—
259C2×C4×C47—44no—
260C2×C4×C47—44no—
261C2×C4×C47—44no—
262C2×C4×C47—42no—
263C2×C4×C47—42no—
264C2×C4×C47#11712yes—
265C2×C4×C47C4×D412yes—
266C2×C4×C47C2×M1612yes—
267C2×C4×C47C2×M1612yes—
268C2×C4×C47C2×M1612yes—
269C2×C4×C47C2×M1612yes—
270C2×C4×C47C22×D411yescharacteristic
271C2×C4×C47C2×#4111yescharacteristic
272C2×C4×C47C2×#4112yes—
273C2×C4×C47H(5,𝔽2)12yes—
274C47⋊C8—24no—
275C47⋊C8—42no—
276C47⋊C8—42no—
277C47⋊C8—42no—
278#22553—471nomaximal, Sylow
279C22×C47—22no—
280C22×C47—22no—
281C22×C47—22no—
282C22×C47—22no—
283C22×C47—22no—
284C22×C47—22no—
285C22×C47—22no—
286C22×C47—22no—
287C22×C47—22no—
288C22×C47—22no—
289C22×C47—22no—
290C22×C47—22no—
291C22×C47—416no—
292C22×C47—41no—
293C22×C47—41no—
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47#43514yes—
301C22×C47C2×#11711yescharacteristic
302C22×C47C2×C4×D411yescharacteristic
303C22×C47#51811yescharacteristic
304C22×C47C22×M1611yescharacteristic
305C22×C47C22×M1611yescharacteristic
306C22×C47C2×#13111yescharacteristic
307C22×C47#56811yescharacteristic
308C4×C47—22no—
309C4×C47—22no—
310C4×C47—22no—
311C4×C47—22no—
312C4×C47—22no—
313C4×C47—22no—
314C4×C47—41no—
315C4×C47—41no—
316C4×C47—41no—
317C4×C47—41no—
318C4×C47—41no—
319C4×C47#54612yes—
320C4×C47#55112yes—
321C2×#431—471no—
322C2×#407—471no—
323C2×C4×C22⋊C4D4711yescharacteristic
324#1924—472no—
325#1923—472no—
326#1851—472no—
327#1817—471no—
328#1797—471no—
329#1779—471no—
330#1753—472no—
331#1749—471no—
332C2×C47—24no—
333C2×C47—42no—
334C2×C47—42no—
335C2×C47#234211yescharacteristic
336C2×C47#292011yescharacteristic
337C2×C47#292411yescharacteristic
338C2×C47C2×#43511yescharacteristic
339C2×C47D4×M1611yescharacteristic
340C2×C47#297411yescharacteristic
341C2×C47#297511yescharacteristic
342C24×C4C2×D4711yescharacteristic
343C22×M16—472no—
344C22×C22⋊C4Dic4711yescharacteristic
345C22×C22⋊C4Dic4711yescharacteristic
346C22×C42C2×D4711yescharacteristic
347C22×C42C2×D4711yescharacteristic
348#431—944no—
349C2×C4⋊C8—472no—
350C2×C4⋊C8—472no—
351#407—944no—
352C2×C22⋊C8—471no—
353C2×C22⋊C8—471no—
354C2×C22⋊C8—471no—
355C2×C22⋊C8—471no—
356C2×C22⋊C8—472no—
357C2×C22⋊C8—472no—
358C2×C22⋊C8—472no—
359C2×#97—472no—
360C2×C4×C8—472no—
361C4×C22⋊C4Dic4711yescharacteristic
362C4×C22⋊C4Dic4711yescharacteristic
363C4×C22⋊C4Dic4711yescharacteristic
364C4×C22⋊C4Dic4711yescharacteristic
365C4×C22⋊C4C2×D4711yescharacteristic
366C4×C22⋊C4C2×D4711yescharacteristic
367C4×C22⋊C4C2×D4711yescharacteristic
368C4×C22⋊C4C2×D4711yescharacteristic
369C2×#95Dic4711yescharacteristic
370C2×#95Dic4711yescharacteristic
371#336—472no—
372#336—472no—
373#336—472no—
374#336—472no—
375C47#2255311yescharacteristic, complemented, Sylow
376C25C2×Dic4711yescharacteristic
377C23×C4—24no—
378C23×C4—22no—
379C23×C4—22no—
380C23×C4—42no—
381C23×C4C2×Dic4711yescharacteristic
382C23×C4C2×Dic4711yescharacteristic
383C23×C4C2×Dic4711yescharacteristic
384C23×C4C2×Dic4711yescharacteristic
385C23×C4C2×Dic4711yescharacteristic
386C23×C4C2×Dic4711yescharacteristic
387C23×C4C2×Dic4711yescharacteristic
388C23×C4C22×D4711yescharacteristic
389C23×C4C22×D4711yescharacteristic
390C23×C4C22×D4711yescharacteristic
391C2×M16—944no—
392C2×M16—944no—
393C2×M16—1882no—
394C22×C8—472no—
395C22×C8—472no—
396C22×C8—472no—
397C22×C8—472no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4C2×Dic4711yescharacteristic
401C2×C22⋊C4C2×Dic4711yescharacteristic
402C2×C22⋊C4C2×Dic4711yescharacteristic
403C2×C22⋊C4C2×Dic4711yescharacteristic
404C2×C22⋊C4C2×Dic4711yescharacteristic
405C2×C22⋊C4C2×Dic4711yescharacteristic
406C2×C22⋊C4C2×Dic4711yescharacteristic
407C2×C22⋊C4C2×Dic4711yescharacteristic
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—42no—
411C2×C42C2×Dic4711yescharacteristic
412C2×C42C2×Dic4711yescharacteristic
413C2×C42C2×Dic4711yescharacteristic
414C2×C42C2×Dic4711yescharacteristic
415C2×C42C22×D4711yescharacteristic
416C2×C42C22×D4711yescharacteristic
417C2×C42C22×D4711yescharacteristic
418C2×C42C22×D4711yescharacteristic
419C4⋊C8—944no—
420C4⋊C8—1882no—
421C22⋊C8—474no—
422C22⋊C8—944no—
423C22⋊C8—944no—
424C22⋊C8—942no—
425C22⋊C8—942no—
426C22⋊C8—942no—
427C22⋊C8—1882no—
428#97—1882no—
429C4×C8—944no—
430#95C2×Dic4711yescharacteristic
431#95C2×Dic4711yescharacteristic
432#95C2×Dic4711yescharacteristic
433#95C2×Dic4711yescharacteristic
434#95C2×Dic4711yescharacteristic
435#95C2×Dic4711yescharacteristic
436#95C2×Dic4711yescharacteristic
437#95C2×Dic4711yescharacteristic
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—41no—
444C24—41no—
445C24C22×Dic4711yescharacteristic
446C24C22×Dic4711yescharacteristic
447C24C22×Dic4711yescharacteristic
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—48no—
478C22×C4—48no—
479C22×C4#1062532914yescomplemented
480C22×C4#1062535014yes—
481C22×C4D4×D4712yes—
482C22×C4#1062535212yes—
483C22×C4C22×Dic4711yescharacteristic
484C22×C4C22×Dic4711yescharacteristic
485C22×C4C22×Dic4711yescharacteristic
486C22×C4C22×Dic4711yescharacteristic
487C22×C4C22×Dic4711yescharacteristic
488C22×C4C22×Dic4711yescharacteristic
489C22×C4C22×Dic4711yescharacteristic
490C22×C4C22×Dic4711yescharacteristic
491C22×C4C22×Dic4711yescharacteristic
492C22×C4C22×Dic4711yescharacteristic
493C22×C4C22×Dic4711yescharacteristic
494C22×C4C23×D4711yescharacteristic
495M16—1888no—
496C2×C8—474no—
497C2×C8—942no—
498C2×C8—942no—
499C2×C8—942no—
500C2×C8—942no—
501C2×C8—942no—
502C2×C8—942no—
503C2×C8—942no—
504C2×C8—942no—
505C2×C8—942no—
506C2×C8—942no—
507C2×C8—942no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4#1062532914yescomplemented
516C42—22no—
517C42—22no—
518C42—21no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—22no—
523C42—22no—
524C42—41no—
525C42—41no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—28no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—44no—
544C23—44no—
545C23—44no—
546C23—44no—
547C23—44no—
548C23—44no—
549C23#1309398312yes—
550C23D4×Dic4712yes—
551C23C2×#1062532912yes—
552C23C2×#1062532912yes—
553C23#1309403112yes—
554C23C23×Dic4711yescharacteristic
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—28no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—44no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—44no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4#1309398312yes—
596C2×C4D4×Dic4712yes—
597C2×C4C2×#1062532912yes—
598C2×C4C2×#1062532912yes—
599C2×C4C2×#1062532912yes—
600C2×C4C2×#1062532912yes—
601C2×C4C2×D4×D4711yescharacteristic
602C2×C4C2×#1062535211yescharacteristic
603C2×C4C2×#1062535012yes—
604C2×C4#1309406912yes—
605C8—944no—
606C8—1882no—
607C8—1882no—
608C8—1882no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—416no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22#1568919514yes—
631C22C2×#1309398311yescharacteristic
632C22C2×D4×Dic4711yescharacteristic
633C22#1568959811yescharacteristic
634C22C22×#1062532911yescharacteristic
635C22C22×#1062532911yescharacteristic
636C22C2×#1309403111yescharacteristic
637C22#1568989011yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—41no—
648C4—41no—
649C4#1568976312yes—
650C4#1568979912yes—
651C2—24no—
652C2—42no—
653C2—42no—
654C2#2024623711yescharacteristic
655C2#2025202111yescharacteristic
656C2#2025204611yescharacteristic
657C2C2×#1568919511yescharacteristic
658C2D4×#1062532911yescharacteristic
659C2#2025242311yescharacteristic
660C2#2025242911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC2×C4×C22⋊C4×C47C2
prime radicalC25×C47C2×C4
cosocleC22×C4×C47C24
hypercenterC2×C4×C22⋊C4D47
hypocenterC47#22553
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#15689176C2semidirect
3. #20244003C2semidirect
4. #20243996C2semidirect
5. #20243573C2semidirect
6. #20243456C2semidirect
7. #20243368C2semidirect
9. #20243172C2semidirect
10. #20243150C2semidirect
14. C2×C4⋊(C47⋊C8)C22semidirect
15. C2×C4⋊(C47⋊C8)C22semidirect
24. C2×#13093935C22semidirect
25. C2×C4×C47⋊C8C22semidirect
26. #15688878C22semidirect
27. #15688878C22semidirect
28. #15688878C22semidirect
29. #15688878C22semidirect
148. C22×C4×C47M16semidirect
171. C22⋊C4×C47M16semidirect
375. C47#22553semidirect
479. C22×C4#10625329semidirect
515. C22⋊C4#10625329semidirect

Maximal subgroups

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

subgroupindex
C2×#156891762
C2×#156890872
#202440032
#202439962
#202435732
#202434562
#202433682
#202432982
#202431722
#202431502
C2×C4×C22⋊C4×C472
#2255347