Finite Group Databasebeta

← C2×#20246717 #26383834

Subgroups — C2×#20246717 #26383834

Order 12032.

7822 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×D188C211yesmaximal, characteristic
2C22×#13094009C212yesmaximal, complemented
3C22×C22⋊C4×D47C211yesmaximal, characteristic, complemented
4#20246717C2116yesmaximal, direct product factor
5C2×#15689041C212yesmaximal, complemented
6C2×#15689040C212yesmaximal, complemented
7C2×#15689001C212yesmaximal, complemented
8C2×#15688996C211yesmaximal, characteristic, complemented
9C2×#15688978C211yesmaximal, characteristic, complemented
10C2×#15688978C211yesmaximal, characteristic, complemented
11C2×#15688978C211yesmaximal, characteristic, complemented
12C2×C47×#385C211yesmaximal, characteristic, complemented
13C25×D47C2211yescharacteristic
14C25×D47C2211yescharacteristic
15C23×D188—28no—
16C23×D188—216no—
17C23×D188C2212yes—
18C23×D188C2218yes—
19C23×D188C2212yes—
20C23×C4×D47C2211yescharacteristic, complemented
21C23×C4×D47C2211yescharacteristic, complemented
22C2×#13094009—216no—
23C2×#13094009C22116yescomplemented
24C22×Dic47⋊C4C2212yescomplemented
25C22×C22⋊Dic47C2211yescharacteristic
26C22×C22⋊Dic47C2211yescharacteristic
27C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
28C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
29C22×(C2×D47)⋊C4C2212yescomplemented
30C22×(C2×D47)⋊C4C2212yescomplemented
31C22×(C2×D47)⋊C4C2212yescomplemented
32C22×(C2×D47)⋊C4C2212yescomplemented
33C22×(C2×D47)⋊C4C2212yescomplemented
34C22×(C2×D47)⋊C4C2212yescomplemented
35C2×C22⋊C4×D47—28no—
36C2×C22⋊C4×D47C2218yescomplemented
37#15689041C22116yescomplemented
38#15689040C22116yescomplemented
39#15689001C22116yescomplemented
40#15688996C2218yescomplemented
41#15688978C2218yescomplemented
42#15688978C2218yescomplemented
43#15688978C2218yescomplemented
44C2×C47⋊#95C2212yescomplemented
45C24×C4×C47C2211yescharacteristic
46C22×C4⋊C4×C47C2212yescomplemented
47C22×C22⋊C4×C47C2211yescharacteristic
48C22×C22⋊C4×C47C2211yescharacteristic
49C47×#385C2218yescomplemented
50C2×#95×C47C2212yescomplemented
51C24×D47—24no—
52C24×D47—24no—
53C24×D47—24no—
54C24×D47—28no—
55C24×D47—28no—
56C24×D47—24no—
57C24×D47—24no—
58C24×D47—44no—
59C24×D47—44no—
60C24×D47D418yes—
61C24×D47C2311yescharacteristic
62C24×D47C2312yes—
63C24×D47C2314yes—
64C24×D47C2314yes—
65C24×D47C2311yescharacteristic
66C22×D188—2128no—
67C22×D188—28no—
68C22×D188—28no—
69C22×D188—232no—
70C22×D188—28no—
71C22×D188—28no—
72C22×D188—28no—
73C22×D188—264no—
74C22×D188D4116yes—
75C22×D188C2318yes—
76C22×D188C2318yes—
77C23×Dic47C2311yescharacteristic
78C23×Dic47C2312yes—
79C23×Dic47C2311yescharacteristic
80C22×C4×D47—24no—
81C22×C4×D47—24no—
82C22×C4×D47—28no—
83C22×C4×D47—44no—
84C22×C4×D47C2314yescomplemented
85C22×C4×D47C2314yescomplemented
86#13094009—264no—
87C2×Dic47⋊C4—28no—
88C2×Dic47⋊C4C2318yescomplemented
89C2×C22⋊Dic47—24no—
90C2×C22⋊Dic47—24no—
91C2×C22⋊Dic47C2314yes—
92C2×C22⋊Dic47C2314yes—
93C2×(C2×D47)⋊C4—24no—
94C2×(C2×D47)⋊C4—24no—
95C2×(C2×D47)⋊C4—28no—
96C2×(C2×D47)⋊C4—28no—
97C2×(C2×D47)⋊C4—28no—
98C2×(C2×D47)⋊C4—44no—
99C2×(C2×D47)⋊C4—44no—
100C2×(C2×D47)⋊C4—44no—
101C2×(C2×D47)⋊C4C2318yescomplemented
102C2×(C2×D47)⋊C4C2318yescomplemented
103C2×(C2×D47)⋊C4C2318yescomplemented
104C2×(C2×D47)⋊C4C2314yescomplemented
105C2×(C2×D47)⋊C4C2314yescomplemented
106C2×(C2×D47)⋊C4C2318yescomplemented
107C2×(C2×D47)⋊C4C2318yescomplemented
108C2×(C2×D47)⋊C4C2318yescomplemented
109C22⋊C4×D47—232no—
110C47⋊#95C2318yescomplemented
111C25×C47C2311yescharacteristic
112C23×C4×C47—24no—
113C23×C4×C47—28no—
114C23×C4×C47C2314yes—
115C23×C4×C47C2311yescharacteristic
116C23×C4×C47C2312yes—
117C23×C4×C47C2311yescharacteristic
118C23×C4×C47C2312yes—
119C2×C4⋊C4×C47—28no—
120C2×C4⋊C4×C47C2318yescomplemented
121C2×C22⋊C4×C47—24no—
122C2×C22⋊C4×C47—24no—
123C2×C22⋊C4×C47C2314yes—
124C2×C22⋊C4×C47C2314yes—
125#95×C47C2318yescomplemented
126C24×C47—24no—
127C24×C47—24no—
128C24×C47C2×D414yes—
129C24×C47#4114yes—
130C24×C47#4114yes—
131C24×C47C2412yes—
132C24×C47C2411yescharacteristic
133C23×D47—22no—
134C23×D47—22no—
135C23×D47—24no—
136C23×D47—232no—
137C23×D47—232no—
138C23×D47—28no—
139C23×D47—24no—
140C23×D47—24no—
141C23×D47—24no—
142C23×D47—28no—
143C23×D47—28no—
144C23×D47—22no—
145C23×D47—22no—
146C23×D47—24no—
147C23×D47—24no—
148C23×D47—24no—
149C23×D47—24no—
150C23×D47—24no—
151C23×D47—232no—
152C23×D47—216no—
153C23×D47—216no—
154C23×D47—28no—
155C23×D47—28no—
156C23×D47—416no—
157C23×D47—48no—
158C23×D47—48no—
159C23×D47—432no—
160C23×D47—432no—
161C23×D47—432no—
162C23×D47—432no—
163C23×D47—416no—
164C23×D47—416no—
165C23×D47C2×D414yes—
166C23×D47C2×D418yes—
167C23×D47C2×D4116yes—
168C23×D47C2×D418yes—
169C23×D47C2×D414yes—
170C23×D47C2412yes—
171C23×D47C2414yes—
172C23×D47C2412yes—
173C22×C4×C47—232no—
174C22×C4×C47—28no—
175C22×C4×C47—24no—
176C22×C4×C47—24no—
177C22×C4×C47—216no—
178C22×C4×C47—22no—
179C22×C4×C47—22no—
180C22×C4×C47—24no—
181C22×C4×C47—24no—
182C22×C4×C47—24no—
183C22×C4×C47—24no—
184C22×C4×C47—24no—
185C22×C4×C47C2×D418yes—
186C22×C4×C47C2412yes—
187C22×C4×C47C2414yes—
188C22×C4×C47C2412yes—
189C22×C4×C47C2414yes—
190C22×Dic47—24no—
191C22×Dic47—22no—
192C22×Dic47—22no—
193C22×Dic47—24no—
194C22×Dic47—24no—
195C22×Dic47—24no—
196C22×Dic47—24no—
197C22×Dic47C2412yes—
198C22×Dic47C2414yes—
199C22×Dic47C2412yes—
200C2×D188—264no—
201C2×D188—2256no—
202C2×D188—264no—
203C2×D188—216no—
204C2×D188—216no—
205C2×D188—216no—
206C2×D188—216no—
207C2×D188—216no—
208C2×D188C2×D4132yes—
209C2×C4×D47—28no—
210C2×C4×D47—28no—
211C2×C4×D47—216no—
212C2×C4×D47—48no—
213C2×C4×D47—416no—
214C2×C4×D47—416no—
215C4⋊C4×C47—216no—
216C22⋊C4×C47—28no—
217C22⋊C4×C47—28no—
218C22⋊Dic47—28no—
219C22⋊Dic47—28no—
220(C2×D47)⋊C4—28no—
221(C2×D47)⋊C4—28no—
222(C2×D47)⋊C4—216no—
223(C2×D47)⋊C4—216no—
224(C2×D47)⋊C4—216no—
225(C2×D47)⋊C4—48no—
226(C2×D47)⋊C4—48no—
227(C2×D47)⋊C4—48no—
228Dic47⋊C4—216no—
229C23×C47—28no—
230C23×C47—28no—
231C23×C47—216no—
232C23×C47—216no—
233C23×C47—24no—
234C23×C47—24no—
235C23×C47#123116yescomplemented
236C23×C47C22×D414yes—
237C23×C47C22×D412yes—
238C23×C47C22×D414yes—
239C23×C47C2×#4114yes—
240C23×C47C2×#4112yes—
241C23×C47C2×#4114yes—
242C23×C47C2×#4112yes—
243C23×C47H(5,𝔽2)14yes—
244C23×C47C2511yescharacteristic
245C22×D47—28no—
246C22×D47—28no—
247C22×D47—216no—
248C22×D47—216no—
249C22×D47—22no—
250C22×D47—22no—
251C22×D47—24no—
252C22×D47—232no—
253C22×D47—28no—
254C22×D47—216no—
255C22×D47—28no—
256C22×D47—232no—
257C22×D47—28no—
258C22×D47—216no—
259C22×D47—216no—
260C22×D47—24no—
261C22×D47—24no—
262C22×D47—24no—
263C22×D47—22no—
264C22×D47—24no—
265C22×D47—22no—
266C22×D47—24no—
267C22×D47—24no—
268C22×D47—24no—
269C22×D47—24no—
270C22×D47—232no—
271C22×D47—416no—
272C22×D47—4128no—
273C22×D47—432no—
274C22×D47—432no—
275C22×D47—432no—
276C22×D47—432no—
277C22×D47—4128no—
278C22×D47—416no—
279C22×D47—48no—
280C22×D47—416no—
281C22×D47—48no—
282C22×D47—48no—
283C22×D47—48no—
284C22×D47—48no—
285C22×D47—48no—
286C22×D47#120116yes—
287C22×D47C22×D414yes—
288C22×D47C22×D418yes—
289C22×D47C22×D418yes—
290C22×D47C22×D414yes—
291C2×C4×C47—232no—
292C2×C4×C47—216no—
293C2×C4×C47—24no—
294C2×C4×C47—24no—
295C2×C4×C47—24no—
296C2×C4×C47—22no—
297C2×C4×C47—22no—
298C2×C4×C47—24no—
299C2×C4×C47—24no—
300C2×C4×C47—24no—
301C2×C4×C47—24no—
302C2×C4×C47—44no—
303C2×C4×C47—44no—
304C2×C4×C47—48no—
305C2×C4×C47C22×D418yes—
306C2×Dic47—24no—
307C2×Dic47—24no—
308C2×Dic47—22no—
309C2×Dic47—22no—
310C2×Dic47—24no—
311C2×Dic47—24no—
312C2×Dic47—24no—
313C2×Dic47—44no—
314C2×Dic47—44no—
315C2×Dic47—48no—
316D188—264no—
317D188—264no—
318C4×D47—416no—
319C4×D47—416no—
320C2×#2405—471nomaximal, Sylow
321C22×C47—232no—
322C22×C47—24no—
323C22×C47—24no—
324C22×C47—28no—
325C22×C47—28no—
326C22×C47C2×#12014yes—
327C22×C47C2×#12314yes—
328C22×C47C2×#12318yescomplemented
329C22×C47#53414yes—
330C22×C47#54618yes—
331C22×C47#54618yes—
332C22×C47C23×D411yescharacteristic
333C22×C47C23×D412yes—
334C22×C47C22×#4111yescharacteristic
335C22×C47C22×#4111yescharacteristic
336C22×C47C2×H(5,𝔽2)12yes—
337C2×D47—232no—
338C2×D47—24no—
339C2×D47—24no—
340C2×D47—28no—
341C2×D47—28no—
342C2×D47—24no—
343C2×D47—28no—
344C2×D47—24no—
345C2×D47—24no—
346C2×D47—28no—
347C2×D47—28no—
348C2×D47—464no—
349C2×D47—464no—
350C2×D47—416no—
351C2×D47—432no—
352C2×D47—44no—
353C2×D47—44no—
354C2×D47—44no—
355C2×D47—44no—
356C2×D47—44no—
357C2×D47—44no—
358C2×D47C2×#12018yes—
359C4×C47—28no—
360C4×C47—42no—
361C4×C47—42no—
362C4×C47—44no—
363Dic47—42no—
364Dic47—42no—
365Dic47—44no—
366C24×D4—471no—
367C22×#123—472no—
368C23×C22⋊C4—471no—
369#2405—4716no—
370C2×#394—472no—
371C2×#394—472no—
372C2×#386—472no—
373C2×#385—471no—
374C2×#385D4711yescharacteristic, complemented
375C2×#379—471no—
376C2×#379—471no—
377C2×#379—471no—
378C2×C47—28no—
379C2×C47#240518yescomplemented
380C2×C47C22×#12011yescharacteristic
381C2×C47C22×#12311yescharacteristic
382C2×C47C2×#53411yescharacteristic
383C2×C47C2×#54612yes—
384C2×C47C2×#54612yes—
385D47—28no—
386D47—44no—
387D47—48no—
388C26—471no—
389C26—471no—
390C23×D4—472no—
391C23×D4—472no—
392C23×D4—478no—
393C23×D4—9416no—
394C23×D4—948no—
395C24×C4—471no—
396C24×C4—471no—
397C24×C4C2×D4711yescharacteristic
398C2×#123—4716no—
399C2×#123—9416no—
400C22×C4⋊C4—472no—
401C22×C4⋊C4C2×D4712yescomplemented
402C22×C22⋊C4—471no—
403C22×C22⋊C4—471no—
404C22×C22⋊C4—471no—
405C22×C22⋊C4—471no—
406C22×C22⋊C4—472no—
407C22×C22⋊C4—472no—
408C22×C22⋊C4—472no—
409C22×C22⋊C4—472no—
410C22×C22⋊C4—472no—
411C22×C22⋊C4—472no—
412C22×C22⋊C4—478no—
413C22×C22⋊C4—948no—
414C22×C22⋊C4C2×D4711yescharacteristic
415C22×C22⋊C4C2×D4711yescharacteristic
416#394—4716no—
417#394—4716no—
418#386—4716no—
419#385—478no—
420#385C2×D4718yescomplemented
421#379—478no—
422#379—478no—
423#379—478no—
424C2×#95—472no—
425C2×#95C2×D4712yescomplemented
426C47C2×#240511yescharacteristic, complemented, Sylow
427C25—471no—
428C25—472no—
429C25—471no—
430C25—478no—
431C25—474no—
432C25—474no—
433C25—948no—
434C25—948no—
435C25—944no—
436C25—944no—
437C25—944no—
438C25—944no—
439C25—944no—
440C25—1884no—
441C25—1884no—
442C25C22×D4711yescharacteristic
443C22×D4—4716no—
444C22×D4—478no—
445C22×D4—478no—
446C22×D4—9464no—
447C22×D4—948no—
448C22×D4—948no—
449C22×D4—948no—
450C22×D4—948no—
451C22×D4—9432no—
452C22×D4—94128no—
453C22×D4—948no—
454C23×C4—24no—
455C23×C4—28no—
456C23×C4—472no—
457C23×C4—471no—
458C23×C4—471no—
459C23×C4—474no—
460C23×C4—474no—
461C23×C4—944no—
462C23×C4—944no—
463C23×C4—948no—
464C23×C4—1884no—
465C23×C4C22×D4714yes—
466C23×C4C22×D4712yes—
467C23×C4C22×D4711yescharacteristic
468C23×C4C22×D4711yescharacteristic
469C23×C4C22×D4712yes—
470#123—9464no—
471C2×C4⋊C4—28no—
472C2×C4⋊C4—478no—
473C2×C4⋊C4—948no—
474C2×C4⋊C4C22×D4718yescomplemented
475C2×C22⋊C4—24no—
476C2×C22⋊C4—24no—
477C2×C22⋊C4—474no—
478C2×C22⋊C4—474no—
479C2×C22⋊C4—474no—
480C2×C22⋊C4—474no—
481C2×C22⋊C4—478no—
482C2×C22⋊C4—478no—
483C2×C22⋊C4—478no—
484C2×C22⋊C4—478no—
485C2×C22⋊C4—478no—
486C2×C22⋊C4—478no—
487C2×C22⋊C4—9432no—
488C2×C22⋊C4—944no—
489C2×C22⋊C4—944no—
490C2×C22⋊C4—948no—
491C2×C22⋊C4—948no—
492C2×C22⋊C4—948no—
493C2×C22⋊C4—944no—
494C2×C22⋊C4—944no—
495C2×C22⋊C4—1884no—
496C2×C22⋊C4—1884no—
497C2×C22⋊C4—1884no—
498C2×C22⋊C4C22×D4714yes—
499C2×C22⋊C4C22×D4714yes—
500#95—478no—
501#95C22×D4718yescomplemented
502C24—24no—
503C24—24no—
504C24—478no—
505C24—474no—
506C24—472no—
507C24—478no—
508C24—474no—
509C24—474no—
510C24—472no—
511C24—4716no—
512C24—9432no—
513C24—9416no—
514C24—9416no—
515C24—9432no—
516C24—942no—
517C24—942no—
518C24—944no—
519C24—9432no—
520C24—948no—
521C24—944no—
522C24—944no—
523C24—944no—
524C24—948no—
525C24—944no—
526C24—942no—
527C24—948no—
528C24—944no—
529C24—942no—
530C24—944no—
531C24—944no—
532C24—944no—
533C24—948no—
534C24—948no—
535C24—18816no—
536C24—1888no—
537C24—1888no—
538C24—18832no—
539C24—18832no—
540C24—18832no—
541C24—18832no—
542C24—18816no—
543C24—18816no—
544C24#1062535014yes—
545C24D4×D4714yes—
546C24#1062535414yes—
547C24C23×D4712yes—
548C24C23×D4711yescharacteristic
549C2×D4—4732no—
550C2×D4—9464no—
551C2×D4—9416no—
552C2×D4—9416no—
553C2×D4—9416no—
554C2×D4—9416no—
555C2×D4—94256no—
556C2×D4—9464no—
557C2×D4—9416no—
558C22×C4—232no—
559C22×C4—28no—
560C22×C4—24no—
561C22×C4—24no—
562C22×C4—216no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—24no—
566C22×C4—24no—
567C22×C4—24no—
568C22×C4—24no—
569C22×C4—24no—
570C22×C4—472no—
571C22×C4—474no—
572C22×C4—472no—
573C22×C4—948no—
574C22×C4—948no—
575C22×C4—9416no—
576C22×C4—944no—
577C22×C4—942no—
578C22×C4—942no—
579C22×C4—944no—
580C22×C4—944no—
581C22×C4—944no—
582C22×C4—944no—
583C22×C4—1888no—
584C22×C4—18816no—
585C22×C4—18816no—
586C22×C4D4×D4718yes—
587C22×C4C23×D4712yes—
588C22×C4C23×D4714yes—
589C22×C4C23×D4712yes—
590C22×C4C23×D4714yes—
591C4⋊C4—216no—
592C4⋊C4—9416no—
593C22⋊C4—28no—
594C22⋊C4—28no—
595C22⋊C4—948no—
596C22⋊C4—948no—
597C22⋊C4—9416no—
598C22⋊C4—9416no—
599C22⋊C4—9416no—
600C22⋊C4—948no—
601C22⋊C4—948no—
602C22⋊C4—1888no—
603C22⋊C4—1888no—
604C22⋊C4—1888no—
605C23—216no—
606C23—216no—
607C23—28no—
608C23—28no—
609C23—24no—
610C23—24no—
611C23—4716no—
612C23—478no—
613C23—474no—
614C23—478no—
615C23—474no—
616C23—9432no—
617C23—9432no—
618C23—9416no—
619C23—9416no—
620C23—948no—
621C23—948no—
622C23—942no—
623C23—942no—
624C23—944no—
625C23—9416no—
626C23—9416no—
627C23—9416no—
628C23—948no—
629C23—948no—
630C23—9432no—
631C23—948no—
632C23—944no—
633C23—944no—
634C23—944no—
635C23—944no—
636C23—942no—
637C23—944no—
638C23—942no—
639C23—944no—
640C23—944no—
641C23—944no—
642C23—18816no—
643C23—18832no—
644C23—18832no—
645C23—18832no—
646C23—18832no—
647C23—188128no—
648C23—18816no—
649C23—188128no—
650C23—1888no—
651C23—1888no—
652C23—1888no—
653C23—1888no—
654C23—1888no—
655C23—18816no—
656C23—1888no—
657C23#13094009116yescomplemented
658C23C2×D4×D4714yes—
659C23C2×D4×D4714yes—
660C23C2×D4×D4712yes—
661C23C2×#1062535014yes—
662C23C2×#1062535012yes—
663C23C2×#1062535414yes—
664C23C2×#1062535412yes—
665C23#1309407014yes—
666C23C24×D4711yescharacteristic
667D4—9464no—
668D4—9464no—
669C2×C4—232no—
670C2×C4—216no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—48no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—944no—
684C2×C4—942no—
685C2×C4—942no—
686C2×C4—944no—
687C2×C4—944no—
688C2×C4—944no—
689C2×C4—944no—
690C2×C4—18816no—
691C2×C4—18816no—
692C2×C4—1888no—
693C2×C4—1884no—
694C2×C4—1884no—
695C2×C4C2×D4×D4718yes—
696C22—28no—
697C22—28no—
698C22—24no—
699C22—24no—
700C22—232no—
701C22—478no—
702C22—948no—
703C22—948no—
704C22—944no—
705C22—944no—
706C22—9432no—
707C22—948no—
708C22—948no—
709C22—948no—
710C22—944no—
711C22—944no—
712C22—944no—
713C22—18864no—
714C22—18864no—
715C22—1884no—
716C22—1884no—
717C22—1884no—
718C22—1884no—
719C22—1884no—
720C22—1884no—
721C22—18832no—
722C22—18816no—
723C22#120×D4714yes—
724C22C2×#1309400914yes—
725C22C2×#1309400918yescomplemented
726C22#1568968414yes—
727C22#1568976418yes—
728C22#1568976918yes—
729C22C22×D4×D4712yes—
730C22C22×D4×D4711yescharacteristic
731C22C22×#1062535011yescharacteristic
732C22C22×#1062535411yescharacteristic
733C22C2×#1309407012yes—
734C4—28no—
735C4—44no—
736C4—42no—
737C4—42no—
738C4—1884no—
739C4—1882no—
740C4—1882no—
741C2—28no—
742C2—948no—
743C2—1888no—
744C2—1884no—
745C2#2024671718yesdirect product factor
746C2C2×#120×D4711yescharacteristic
747C2C22×#1309400911yescharacteristic
748C2C2×#1568968411yescharacteristic
749C2C2×#1568976412yes—
750C2C2×#1568976912yes—
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#385C2
socleC24×C47C24
prime radicalC24×D188C2
hypercenterC2×#385D47
hypocenterC47C2×#2405
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C22×#13094009C2semidirect
3. C22×C22⋊C4×D47C2semidirect
4. #20246717C2direct (N × H)
5. C2×#15689041C2semidirect
6. C2×#15689040C2semidirect
7. C2×#15689001C2semidirect
8. C2×#15688996C2semidirect
9. C2×#15688978C2semidirect
10. C2×#15688978C2semidirect
11. C2×#15688978C2semidirect
12. C2×C47×#385C2semidirect
20. C23×C4×D47C22semidirect
21. C23×C4×D47C22semidirect
23. C2×#13094009C22semidirect
24. C22×Dic47⋊C4C22semidirect
27. C22×(C2×D47)⋊C4C22semidirect
28. C22×(C2×D47)⋊C4C22semidirect
29. C22×(C2×D47)⋊C4C22semidirect
30. C22×(C2×D47)⋊C4C22semidirect
31. C22×(C2×D47)⋊C4C22semidirect
32. C22×(C2×D47)⋊C4C22semidirect
33. C22×(C2×D47)⋊C4C22semidirect
34. C22×(C2×D47)⋊C4C22semidirect
36. C2×C22⋊C4×D47C22semidirect
37. #15689041C22semidirect
38. #15689040C22semidirect
39. #15689001C22semidirect
40. #15688996C22semidirect
41. #15688978C22semidirect
42. #15688978C22semidirect
43. #15688978C22semidirect
44. C2×C47⋊#95C22semidirect
46. C22×C4⋊C4×C47C22semidirect
49. C47×#385C22semidirect
50. C2×#95×C47C22semidirect
84. C22×C4×D47C23semidirect
85. C22×C4×D47C23semidirect
88. C2×Dic47⋊C4C23semidirect
101. C2×(C2×D47)⋊C4C23semidirect
102. C2×(C2×D47)⋊C4C23semidirect
103. C2×(C2×D47)⋊C4C23semidirect
104. C2×(C2×D47)⋊C4C23semidirect
105. C2×(C2×D47)⋊C4C23semidirect
106. C2×(C2×D47)⋊C4C23semidirect
107. C2×(C2×D47)⋊C4C23semidirect
108. C2×(C2×D47)⋊C4C23semidirect
110. C47⋊#95C23semidirect
120. C2×C4⋊C4×C47C23semidirect
125. #95×C47C23semidirect
235. C23×C47#123semidirect
328. C22×C47C2×#123semidirect
374. C2×#385D47semidirect
379. C2×C47#2405semidirect
401. C22×C4⋊C4C2×D47semidirect
420. #385C2×D47semidirect
425. C2×#95C2×D47semidirect
426. C47C2×#2405semidirect
474. C2×C4⋊C4C22×D47semidirect
501. #95C22×D47semidirect
657. C23#13094009semidirect
725. C22C2×#13094009semidirect
745. C2#20246717direct (N × H)

Maximal subgroups

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

subgroupindex
C24×D1882
C22×#130940092
C22×C22⋊C4×D472
#202467172
C2×#156890412
C2×#156890402
C2×#156890012
C2×#156889962
C2×#156889782
C2×C47×#3852
C2×#240547