Finite Group Databasebeta

← C2×#20245894 #26374697

Subgroups — C2×#20245894 #26374697

Order 12032.

5022 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093998C211yesmaximal, characteristic
2C22×#13093986C211yesmaximal, characteristic, complemented
3C22×(C22⋊D47)⋊C4C212yesmaximal, complemented
4C23×C4×Dic47C211yesmaximal, characteristic, complemented
5#20245894C2116yesmaximal, direct product factor
6C2×#15689024C211yesmaximal, characteristic, complemented
7C2×#15689019C211yesmaximal, characteristic, complemented
8C2×#15689012C212yesmaximal, complemented
9C2×#15689000C212yesmaximal, complemented
10C2×C4⋊C4×Dic47C211yesmaximal, characteristic, complemented
11C2×#15688970C212yesmaximal, complemented
12C2×C47×#380C211yesmaximal, characteristic, complemented
13C23×D188C2211yescharacteristic
14C23×C22⋊D47C2212yes—
15C24×Dic47C2211yescharacteristic
16C24×Dic47C2211yescharacteristic
17C23×C4×D47C2212yes—
18C2×#13093998C4116yescomplemented
19C2×#13093998C2218yes—
20C2×#13093986—28no—
21C2×#13093986C2218yescomplemented
22C2×(C22⋊D47)⋊C4—216no—
23C2×(C22⋊D47)⋊C4C22116yescomplemented
24C22×C4⋊Dic47C2211yescharacteristic
25C22×Dic47⋊C4C2212yes—
26C22×(C2×D47)⋊C4C2212yes—
27C22×(C2×D47)⋊C4C2212yes—
28C22×(C2×D47)⋊C4C2212yes—
29C22×(C2×D47)⋊C4C2212yes—
30C22×C4×Dic47—28no—
31C22×C4×Dic47C2211yescharacteristic
32C22×C4×Dic47C2211yescharacteristic
33C22×C4×Dic47C2211yescharacteristic
34C22×C4×Dic47C2212yes—
35C22×C4×Dic47C2211yescharacteristic
36C22×C4×Dic47C2218yescomplemented
37#15689024C2218yescomplemented
38#15689019C2218yescomplemented
39#15689012C22116yescomplemented
40#15689000C22116yescomplemented
41C4⋊C4×Dic47C2218yescomplemented
42#15688970C22116yescomplemented
43C2×C47⋊#95C2212yes—
44C2×C47⋊#95C2212yes—
45C24×C4×C47C2211yescharacteristic
46C22×C4⋊C4×C47C2211yescharacteristic
47C22×C4⋊C4×C47C2211yescharacteristic
48C22×C22⋊C4×C47C2212yes—
49C47×#380C2218yescomplemented
50C2×#95×C47C2212yes—
51C24×D47C2312yes—
52C22×D188—24no—
53C22×D188—24no—
54C22×D188C2×C418yescomplemented
55C22×D188C2314yes—
56C22×C22⋊D47—28no—
57C22×C22⋊D47—28no—
58C22×C22⋊D47C2×C4116yescomplemented
59C22×C22⋊D47C2318yes—
60C23×Dic47—24no—
61C23×Dic47—24no—
62C23×Dic47—24no—
63C23×Dic47—24no—
64C23×Dic47—24no—
65C23×Dic47D418yescomplemented
66C23×Dic47C2314yes—
67C23×Dic47C2312yes—
68C23×Dic47C2311yescharacteristic
69C23×Dic47C2311yescharacteristic
70C23×Dic47C2314yes—
71C23×Dic47C2311yescharacteristic
72C23×Dic47C2311yescharacteristic
73C22×C4×D47—28no—
74C22×C4×D47—28no—
75C22×C4×D47—28no—
76C22×C4×D47C2318yes—
77#13093998C2×C4164yescomplemented
78#13093986—232no—
79(C22⋊D47)⋊C4—264no—
80C2×C4⋊Dic47C2×C418yescomplemented
81C2×C4⋊Dic47C2314yes—
82C2×Dic47⋊C4—28no—
83C2×Dic47⋊C4C2318yes—
84C2×(C2×D47)⋊C4—28no—
85C2×(C2×D47)⋊C4—28no—
86C2×(C2×D47)⋊C4—28no—
87C2×(C2×D47)⋊C4C2×C4116yescomplemented
88C2×(C2×D47)⋊C4C2318yes—
89C2×(C2×D47)⋊C4C2318yes—
90C2×(C2×D47)⋊C4C2318yes—
91C2×(C2×D47)⋊C4C2318yes—
92C2×C4×Dic47—24no—
93C2×C4×Dic47—24no—
94C2×C4×Dic47—24no—
95C2×C4×Dic47—28no—
96C2×C4×Dic47—232no—
97C2×C4×Dic47D418yescomplemented
98C2×C4×Dic47C2314yes—
99C2×C4×Dic47C2318yes—
100C2×C4×Dic47C2314yes—
101C2×C4×Dic47C2314yes—
102C2×C4×Dic47C2314yes—
103C47⋊#95C2318yes—
104C47⋊#95C2318yes—
105C25×C47C2311yescharacteristic
106C23×C4×C47—24no—
107C23×C4×C47—24no—
108C23×C4×C47C2×C418yescomplemented
109C23×C4×C47C2312yes—
110C23×C4×C47C2312yes—
111C23×C4×C47C2311yescharacteristic
112C23×C4×C47C2314yes—
113C23×C4×C47C2311yescharacteristic
114C2×C4⋊C4×C47—24no—
115C2×C4⋊C4×C47—24no—
116C2×C4⋊C4×C47C2314yes—
117C2×C4⋊C4×C47C2314yes—
118C2×C22⋊C4×C47—28no—
119C2×C22⋊C4×C47C2318yes—
120#95×C47C2318yes—
121C24×C47—22no—
122C24×C47—22no—
123C24×C47—22no—
124C24×C47—22no—
125C24×C47C22×C414yes—
126C24×C47C2×D414yes—
127C24×C47#4114yes—
128C24×C47C2412yes—
129C24×C47C2411yescharacteristic
130C23×D47—24no—
131C23×D47—24no—
132C23×D47—24no—
133C23×D47—24no—
134C23×D47—24no—
135C23×D47—24no—
136C23×D47C22×C418yes—
137C23×D47C2414yes—
138C22×C4×C47—22no—
139C22×C4×C47—22no—
140C22×C4×C47—232no—
141C22×C4×C47—28no—
142C22×C4×C47—28no—
143C22×C4×C47—24no—
144C22×C4×C47—24no—
145C22×C4×C47—24no—
146C22×C4×C47—24no—
147C22×C4×C47—24no—
148C22×C4×C47—24no—
149C22×C4×C47C22×C414yes—
150C22×C4×C47C22×C414yes—
151C22×C4×C47C22×C4116yescomplemented
152C22×C4×C47C2×D414yes—
153C22×C4×C47#4114yes—
154C22×C4×C47C2414yes—
155C22×C4×C47C2414yes—
156C22×C4×C47C2412yes—
157C22×C4×C47C2412yes—
158C2×C22⋊D47—264no—
159C2×C22⋊D47—216no—
160C2×C22⋊D47—216no—
161C2×C22⋊D47C22×C4132yescomplemented
162C22×Dic47—232no—
163C22×Dic47—22no—
164C22×Dic47—22no—
165C22×Dic47—24no—
166C22×Dic47—28no—
167C22×Dic47—22no—
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47—22no—
171C22×Dic47—24no—
172C22×Dic47—232no—
173C22×Dic47—28no—
174C22×Dic47—28no—
175C22×Dic47—28no—
176C22×Dic47—28no—
177C22×Dic47C22×C418yes—
178C22×Dic47C2×D414yes—
179C22×Dic47C2×D414yes—
180C22×Dic47C2×D414yes—
181C22×Dic47C2×D414yes—
182C22×Dic47C2×D4116yescomplemented
183C22×Dic47#4114yes—
184C22×Dic47#4114yes—
185C22×Dic47C2414yes—
186C22×Dic47C2412yes—
187C22×Dic47C2412yes—
188C22×Dic47C2412yes—
189C22×Dic47C2412yes—
190C2×D188—232no—
191C2×D188—28no—
192C2×D188—28no—
193C2×D188C22×C4116yescomplemented
194C2×C4×D47—216no—
195C2×C4×D47—216no—
196C2×C4×D47—216no—
197C2×C4×D47—432no—
198C4⋊C4×C47—28no—
199C4⋊C4×C47—28no—
200C22⋊C4×C47—216no—
201(C2×D47)⋊C4—216no—
202(C2×D47)⋊C4—216no—
203(C2×D47)⋊C4—216no—
204(C2×D47)⋊C4C22×C4132yescomplemented
205C4⋊Dic47C22×C4116yescomplemented
206Dic47⋊C4—216no—
207C4×Dic47—28no—
208C4×Dic47—28no—
209C4×Dic47—28no—
210C4×Dic47—216no—
211C4×Dic47C2×D4116yescomplemented
212C23×C47—28no—
213C23×C47—28no—
214C23×C47—28no—
215C23×C47—28no—
216C23×C47—28no—
217C23×C47—28no—
218C23×C47—22no—
219C23×C47—22no—
220C23×C47—22no—
221C23×C47—22no—
222C23×C47C4×D4116yescomplemented
223C23×C47C23×C414yes—
224C23×C47C23×C412yes—
225C23×C47C22×D414yes—
226C23×C47C22×D412yes—
227C23×C47C22×D412yes—
228C23×C47C2×#4112yes—
229C23×C47C2×#4112yes—
230C23×C47C2×#4112yes—
231C23×C47C2×#4114yes—
232C23×C47C2×#4112yes—
233C23×C47C2511yescharacteristic
234C22×D47—216no—
235C22×D47—216no—
236C22×D47—216no—
237C22×D47—24no—
238C22×D47—24no—
239C22×D47—24no—
240C22×D47—24no—
241C22×D47—24no—
242C22×D47—24no—
243C22×D47—48no—
244C22×D47—48no—
245C22×D47—48no—
246C22×D47—48no—
247C22×D47C23×C418yes—
248C2×C4×C47—28no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—232no—
252C2×C4×C47—24no—
253C2×C4×C47—24no—
254C2×C4×C47—24no—
255C2×C4×C47—24no—
256C2×C4×C47—24no—
257C2×C4×C47—24no—
258C2×C4×C47—48no—
259C2×C4×C47—48no—
260C2×C4×C47C4×D4116yescomplemented
261C2×C4×C47C23×C414yes—
262C2×C4×C47C23×C414yes—
263C2×C4×C47C22×D414yes—
264C2×C4×C47C2×#4114yes—
265C22⋊D47—264no—
266C2×Dic47—232no—
267C2×Dic47—216no—
268C2×Dic47—28no—
269C2×Dic47—28no—
270C2×Dic47—28no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—24no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—24no—
279C2×Dic47—232no—
280C2×Dic47#121116yescomplemented
281C2×Dic47C23×C418yes—
282C2×Dic47C22×D414yes—
283C2×Dic47C22×D414yes—
284C2×Dic47C22×D414yes—
285C2×Dic47C22×D414yes—
286C2×Dic47C2×#4114yes—
287C2×Dic47C2×#4114yes—
288D188—232no—
289C4×D47—432no—
290C2×C4×#121—471nomaximal, Sylow
291C22×C47—24no—
292C22×C47—24no—
293C22×C47—24no—
294C22×C47—24no—
295C22×C47—24no—
296C22×C47—24no—
297C22×C47—232no—
298C22×C47C2×C4×D414yes—
299C22×C47C2×C4×D414yes—
300C22×C47C2×C4×D418yescomplemented
301C22×C47C4×#4114yes—
302C22×C47C2×#12114yes—
303C22×C47#52514yes—
304C22×C47#52914yes—
305C22×C47#53214yes—
306C22×C47C24×C411yescharacteristic
307C22×C47C23×D411yescharacteristic
308C22×C47C23×D411yescharacteristic
309C22×C47C22×#4111yescharacteristic
310C22×C47C22×#4111yescharacteristic
311C22×C47C22×#4111yescharacteristic
312C22×C47C22×#4111yescharacteristic
313C2×D47—28no—
314C2×D47—28no—
315C2×D47—28no—
316C2×D47—44no—
317C2×D47—44no—
318C2×D47—44no—
319C2×D47—44no—
320C2×D47—432no—
321C4×C47—24no—
322C4×C47—44no—
323C4×C47—44no—
324C4×C47C2×C4×D418yescomplemented
325Dic47—28no—
326Dic47—24no—
327Dic47—24no—
328Dic47—24no—
329Dic47C2×#12118yescomplemented
330C22×#121—471no—
331C22×C4×D4—471no—
332C22×C4×D4—472no—
333C23×C42—471no—
334C4×#121—4716no—
335C2×#390—471no—
336C2×#389—471no—
337C2×#388—472no—
338C2×#386—472no—
339C2×#380D4711yescharacteristic, complemented
340C2×C4×C4⋊C4—471no—
341C2×C4×C22⋊C4—472no—
342C2×C47—28no—
343C2×C47C4×#12118yescomplemented
344C2×C47C22×C4×D411yescharacteristic
345C2×C47C22×C4×D411yescharacteristic
346C2×C47C2×C4×#4111yescharacteristic
347C2×C47C22×#12111yescharacteristic
348C2×C47C2×#52511yescharacteristic
349C2×C47C2×#52911yescharacteristic
350C2×C47C2×#53211yescharacteristic
351D47—48no—
352C23×D4—472no—
353C23×D4—471no—
354C24×C4—471no—
355C24×C4—471no—
356C24×C4—472no—
357C24×C4C2×D4711yescharacteristic
358C2×#121—4716no—
359C2×#121—478no—
360C2×C4×D4—478no—
361C2×C4×D4—4716no—
362C2×C4×D4—948no—
363C2×C4×D4—9416no—
364C22×C4⋊C4—471no—
365C22×C4⋊C4—472no—
366C22×C4⋊C4C2×D4711yescharacteristic
367C22×C4⋊C4C2×D4711yescharacteristic
368C22×C22⋊C4—472no—
369C22×C22⋊C4—472no—
370C22×C22⋊C4—472no—
371C22×C22⋊C4—472no—
372C22×C22⋊C4C2×D4712yes—
373C22×C42—471no—
374C22×C42—471no—
375C22×C42—471no—
376C22×C42—471no—
377C22×C42—478no—
378C22×C42—472no—
379C22×C42—948no—
380#390—478no—
381#389—478no—
382#388—4716no—
383#386—4716no—
384#380C2×D4718yescomplemented
385C4×C4⋊C4—478no—
386C4×C22⋊C4—4716no—
387C2×#95—472no—
388C2×#95—472no—
389C2×#95C2×D4712yes—
390C47C2×C4×#12111yescharacteristic, complemented, Sylow
391C25—472no—
392C25C22×D4711yescharacteristic
393C22×D4—4716no—
394C22×D4—478no—
395C22×D4—478no—
396C22×D4—474no—
397C22×D4—948no—
398C22×D4—948no—
399C22×D4—944no—
400C22×D4—944no—
401C23×C4—24no—
402C23×C4—24no—
403C23×C4—471no—
404C23×C4—478no—
405C23×C4—474no—
406C23×C4—471no—
407C23×C4—471no—
408C23×C4—471no—
409C23×C4—472no—
410C23×C4—474no—
411C23×C4—478no—
412C23×C4—948no—
413C23×C4—948no—
414C23×C4—948no—
415C23×C4—944no—
416C23×C4—944no—
417C23×C4—944no—
418C23×C4—944no—
419C23×C4—944no—
420C23×C4C4×D4718yescomplemented
421C23×C4C22×D4712yes—
422C23×C4C22×D4712yes—
423C23×C4C22×D4711yescharacteristic
424C23×C4C22×D4714yes—
425C23×C4C22×D4711yescharacteristic
426#121—4764no—
427C4×D4—9432no—
428C4×D4—9464no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4—24no—
431C2×C4⋊C4—478no—
432C2×C4⋊C4—474no—
433C2×C4⋊C4—478no—
434C2×C4⋊C4—948no—
435C2×C4⋊C4C22×D4714yes—
436C2×C4⋊C4C22×D4714yes—
437C2×C22⋊C4—28no—
438C2×C22⋊C4—4716no—
439C2×C22⋊C4—478no—
440C2×C22⋊C4—478no—
441C2×C22⋊C4—478no—
442C2×C22⋊C4—478no—
443C2×C22⋊C4—948no—
444C2×C22⋊C4—948no—
445C2×C22⋊C4—948no—
446C2×C22⋊C4C22×D4718yes—
447C2×C42—478no—
448C2×C42—474no—
449C2×C42—478no—
450C2×C42—474no—
451C2×C42—474no—
452C2×C42—474no—
453C2×C42—9432no—
454C2×C42—948no—
455C2×C42—944no—
456C2×C42—944no—
457C2×C42—944no—
458#95—478no—
459#95—478no—
460#95C22×D4718yes—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—478no—
466C24—474no—
467C24—944no—
468C24—944no—
469C24—944no—
470C24—944no—
471C24—944no—
472C24—944no—
473C24C2×C4×D4714yes—
474C24D4×D4714yes—
475C24#1062535414yes—
476C24C23×D4712yes—
477C24C23×D4711yescharacteristic
478C2×D4—4732no—
479C2×D4—4716no—
480C2×D4—9464no—
481C2×D4—9416no—
482C2×D4—9416no—
483C2×D4—9432no—
484C2×D4—948no—
485C2×D4—948no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—232no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—474no—
498C22×C4—474no—
499C22×C4—474no—
500C22×C4—472no—
501C22×C4—478no—
502C22×C4—474no—
503C22×C4—474no—
504C22×C4—4716no—
505C22×C4—474no—
506C22×C4—472no—
507C22×C4—472no—
508C22×C4—474no—
509C22×C4—472no—
510C22×C4—9416no—
511C22×C4—9416no—
512C22×C4—9416no—
513C22×C4—948no—
514C22×C4—948no—
515C22×C4—9432no—
516C22×C4—948no—
517C22×C4—948no—
518C22×C4—9432no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—944no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—948no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—944no—
528C22×C4—18832no—
529C22×C4C2×C4×D4714yes—
530C22×C4C2×C4×D4714yes—
531C22×C4C2×C4×D47116yescomplemented
532C22×C4D4×D4714yes—
533C22×C4#1062535214yes—
534C22×C4C23×D4714yes—
535C22×C4C23×D4714yes—
536C22×C4C23×D4712yes—
537C22×C4C23×D4712yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—4716no—
541C4⋊C4—9416no—
542C22⋊C4—216no—
543C22⋊C4—4732no—
544C22⋊C4—9416no—
545C22⋊C4—9416no—
546C22⋊C4—9416no—
547C42—4716no—
548C42—948no—
549C42—948no—
550C42—9416no—
551C42—948no—
552C23—28no—
553C23—28no—
554C23—28no—
555C23—28no—
556C23—28no—
557C23—28no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—478no—
563C23—9416no—
564C23—9416no—
565C23—9416no—
566C23—944no—
567C23—944no—
568C23—944no—
569C23—944no—
570C23—944no—
571C23—944no—
572C23—1888no—
573C23—1888no—
574C23—1888no—
575C23—1888no—
576C23#13093986116yescomplemented
577C23C22×C4×D4714yes—
578C23C22×C4×D4712yes—
579C23C2×D4×D4714yes—
580C23C2×D4×D4712yes—
581C23C2×D4×D4712yes—
582C23#41×D4712yes—
583C23#41×D4712yes—
584C23C2×#1062535212yes—
585C23C2×#1062535414yes—
586C23C2×#1062535412yes—
587C23C24×D4711yescharacteristic
588D4—9464no—
589D4—9432no—
590C2×C4—28no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—232no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—48no—
601C2×C4—48no—
602C2×C4—4716no—
603C2×C4—474no—
604C2×C4—474no—
605C2×C4—474no—
606C2×C4—478no—
607C2×C4—474no—
608C2×C4—474no—
609C2×C4—474no—
610C2×C4—9432no—
611C2×C4—9432no—
612C2×C4—9416no—
613C2×C4—948no—
614C2×C4—948no—
615C2×C4—948no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—944no—
619C2×C4—942no—
620C2×C4—942no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—944no—
624C2×C4—18832no—
625C2×C4(C22⋊D47)⋊C4116yescomplemented
626C2×C4C22×C4×D4714yes—
627C2×C4C22×C4×D4714yes—
628C2×C4C2×D4×D4714yes—
629C2×C4C2×#1062535214yes—
630C22—24no—
631C22—24no—
632C22—24no—
633C22—24no—
634C22—232no—
635C22—24no—
636C22—24no—
637C22—948no—
638C22—948no—
639C22—948no—
640C22—1884no—
641C22—1884no—
642C22—18832no—
643C22—1884no—
644C22—1884no—
645C22C2×(C22⋊D47)⋊C414yes—
646C22C2×#1309398614yes—
647C22C2×#1309398618yescomplemented
648C22#1568959114yes—
649C22#121×D4714yes—
650C22#1568963614yes—
651C22#1568965914yes—
652C22#1568966814yes—
653C22C23×C4×D4711yescharacteristic
654C22C22×D4×D4711yescharacteristic
655C22C22×D4×D4711yescharacteristic
656C22C2×#41×D4711yescharacteristic
657C22C2×#41×D4711yescharacteristic
658C22C22×#1062535211yescharacteristic
659C22C22×#1062535411yescharacteristic
660C4—24no—
661C4—44no—
662C4—44no—
663C4—478no—
664C4—948no—
665C4—944no—
666C4—944no—
667C4—944no—
668C4C2×(C22⋊D47)⋊C418yescomplemented
669C2—28no—
670C2—1888no—
671C2#2024589418yesdirect product factor
672C2C22×(C22⋊D47)⋊C411yescharacteristic
673C2C22×#1309398611yescharacteristic
674C2C2×#1568959111yescharacteristic
675C2C2×#121×D4711yescharacteristic
676C2C2×#1568963611yescharacteristic
677C2C2×#1568965911yescharacteristic
678C2C2×#1568966811yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C47×#380C2
socleC24×C47C24
prime radicalC22×#13093998C2
cosocleC23×C47C25
hypercenterC2×#380D47
hypocenterC47C2×C4×#121
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
2. C22×#13093986C2semidirect
3. C22×(C22⋊D47)⋊C4C2semidirect
4. C23×C4×Dic47C2semidirect
5. #20245894C2direct (N × H)
6. C2×#15689024C2semidirect
7. C2×#15689019C2semidirect
8. C2×#15689012C2semidirect
9. C2×#15689000C2semidirect
10. C2×C4⋊C4×Dic47C2semidirect
11. C2×#15688970C2semidirect
12. C2×C47×#380C2semidirect
18. C2×#13093998C4semidirect
21. C2×#13093986C22semidirect
23. C2×(C22⋊D47)⋊C4C22semidirect
36. C22×C4×Dic47C22semidirect
37. #15689024C22semidirect
38. #15689019C22semidirect
39. #15689012C22semidirect
40. #15689000C22semidirect
41. C4⋊C4×Dic47C22semidirect
42. #15688970C22semidirect
49. C47×#380C22semidirect
54. C22×D188C2×C4semidirect
58. C22×C22⋊D47C2×C4semidirect
65. C23×Dic47D4semidirect
77. #13093998C2×C4semidirect
80. C2×C4⋊Dic47C2×C4semidirect
87. C2×(C2×D47)⋊C4C2×C4semidirect
97. C2×C4×Dic47D4semidirect
108. C23×C4×C47C2×C4semidirect
151. C22×C4×C47C22×C4semidirect
161. C2×C22⋊D47C22×C4semidirect
182. C22×Dic47C2×D4semidirect
193. C2×D188C22×C4semidirect
204. (C2×D47)⋊C4C22×C4semidirect
205. C4⋊Dic47C22×C4semidirect
211. C4×Dic47C2×D4semidirect
222. C23×C47C4×D4semidirect
260. C2×C4×C47C4×D4semidirect
280. C2×Dic47#121semidirect
300. C22×C47C2×C4×D4semidirect
324. C4×C47C2×C4×D4semidirect
329. Dic47C2×#121semidirect
339. C2×#380D47semidirect
343. C2×C47C4×#121semidirect
384. #380C2×D47semidirect
390. C47C2×C4×#121semidirect
420. C23×C4C4×D47semidirect
531. C22×C4C2×C4×D47semidirect
576. C23#13093986semidirect
625. C2×C4(C22⋊D47)⋊C4semidirect
647. C22C2×#13093986semidirect
668. C4C2×(C22⋊D47)⋊C4semidirect
671. C2#20245894direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130939982
C22×#130939862
C22×(C22⋊D47)⋊C42
C23×C4×Dic472
#202458942
C2×#156890242
C2×#156890192
C2×#156890122
C2×#156890002
C2×C4⋊C4×Dic472
C2×#156889702
C2×C47×#3802
C2×C4×#12147