Finite Group Databasebeta

← #26376536

Subgroups — #26376536

Order 12032.

4982 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093993C211yesmaximal, characteristic
2C2×#15689596C211yesmaximal, characteristic, complemented
3#20246367C218yesmaximal, complemented
4#20246233C214yesmaximal, complemented
5C22⋊C4×C22⋊D47C214yesmaximal, complemented
6#20246046C214yesmaximal, complemented
7#20246000C211yesmaximal, characteristic, complemented
8#20245963C211yesmaximal, characteristic, complemented
9C4×#13093993C214yesmaximal, complemented
10C2×#15688979C211yesmaximal, characteristic, complemented
11#20245741C211yesmaximal, characteristic, complemented
12C23×C22⋊C4×C47C211yesmaximal, characteristic, complemented
13C23×C22⋊D47C2211yescharacteristic
14C23×C22⋊D47C2212yes—
15C2×#13093993C4116yescomplemented
16C2×#13093993C2212yes—
17C2×#13093993C2214yes—
18C2×#13093993C2212yes—
19#15689596—28no—
20C2×C4×C22⋊D47C2214yescomplemented
21C2×C4×C22⋊D47C2218yescomplemented
22C2×(C22⋊D47)⋊C4C2214yescomplemented
23C2×#13093980C2212yescomplemented
24C22×C22⋊Dic47C2211yescharacteristic
25C22×C22⋊Dic47C2211yescharacteristic
26C22×C22⋊Dic47C2212yes—
27C22×C22⋊Dic47C2211yescharacteristic
28C22×C22⋊Dic47C2214yescomplemented
29C2×C22⋊C4×D47C2212yescomplemented
30#15689023C2218yescomplemented
31#15689017C2218yescomplemented
32#15689011C2218yescomplemented
33#15689002C2214yescomplemented
34#15689002C2218yescomplemented
35#15689000C2214yescomplemented
36#15688999C2218yescomplemented
37#15688996C2214yescomplemented
38#15688996C2218yescomplemented
39#15688995C2214yescomplemented
40#15688984C2212yescomplemented
41#15688981C2214yescomplemented
42#15688979C2214yes—
43#15688979C2212yescomplemented
44#15688979C2212yescomplemented
45#15688978C2212yescomplemented
46C22⋊C4×Dic47C2214yescomplemented
47C22⋊C4×Dic47C2214yescomplemented
48C4×C22⋊Dic47C2214yescomplemented
49C4×C22⋊Dic47C2218yescomplemented
50C26×C47C2211yescharacteristic
51C24×C4×C47C2212yescomplemented
52C22×C22⋊C4×C47—28no—
53C22×C22⋊C4×C47C2214yes—
54C22×C22⋊C4×C47C2211yescharacteristic
55C22×C22⋊C4×C47C2211yescharacteristic
56C22×C22⋊C4×C47C2212yescomplemented
57C22×C22⋊C4×C47C2214yescomplemented
58C24×D47C2311yescharacteristic
59C22×C22⋊D47—24no—
60C22×C22⋊D47—24no—
61C22×C22⋊D47—48no—
62C22×C22⋊D47C2×C418yescomplemented
63C22×C22⋊D47C2×C4116yescomplemented
64C22×C22⋊D47C2312yes—
65C22×C22⋊D47C2314yes—
66C22×C22⋊D47C2312yes—
67C22×C22⋊D47C2314yes—
68C23×Dic47C2311yescharacteristic
69C23×Dic47C2312yes—
70C23×Dic47C2312yes—
71C23×Dic47C2312yes—
72C22×C4×D47C2314yescomplemented
73#13093993C2×C4116yescomplemented
74#13093993C2×C4132yescomplemented
75#13093993C2×C4116yescomplemented
76C4×C22⋊D47—216no—
77C4×C22⋊D47—416no—
78(C22⋊D47)⋊C4—216no—
79#13093980—28no—
80C2×Dic47⋊C4C2314yescomplemented
81C2×Dic47⋊C4C2318yescomplemented
82C2×C22⋊Dic47—24no—
83C2×C22⋊Dic47—24no—
84C2×C22⋊Dic47—48no—
85C2×C22⋊Dic47C2×C4116yescomplemented
86C2×C22⋊Dic47C2×C418yescomplemented
87C2×C22⋊Dic47C2312yes—
88C2×C22⋊Dic47C2318yes—
89C2×C22⋊Dic47C2312yes—
90C2×C22⋊Dic47C2312yes—
91C2×C22⋊Dic47C2312yes—
92C2×C22⋊Dic47C2318yes—
93C2×C22⋊Dic47C2312yes—
94C2×C22⋊Dic47C2314yes—
95C2×C22⋊Dic47C2312yes—
96C2×C22⋊Dic47C2314yes—
97C2×(C2×D47)⋊C4C2314yescomplemented
98C2×(C2×D47)⋊C4C2318yescomplemented
99C22⋊C4×D47—28no—
100C2×C4×Dic47C2314yescomplemented
101C2×C4×Dic47C2318yescomplemented
102C47⋊#95C2318yescomplemented
103C47⋊#95C2318yescomplemented
104C47⋊#95C2318yescomplemented
105C25×C47—24no—
106C25×C47—24no—
107C25×C47—48no—
108C25×C47C2×C418yescomplemented
109C25×C47C2311yescharacteristic
110C25×C47C2312yes—
111C25×C47C2312yes—
112C25×C47C2311yescharacteristic
113C25×C47C2311yescharacteristic
114C23×C4×C47—28no—
115C23×C4×C47—48no—
116C23×C4×C47C2318yes—
117C23×C4×C47C2312yes—
118C23×C4×C47C2312yes—
119C2×C22⋊C4×C47—24no—
120C2×C22⋊C4×C47—28no—
121C2×C22⋊C4×C47—216no—
122C2×C22⋊C4×C47—216no—
123C2×C22⋊C4×C47D418yescomplemented
124C2×C22⋊C4×C47C2312yes—
125C2×C22⋊C4×C47C2312yes—
126C2×C22⋊C4×C47C2318yes—
127C2×C22⋊C4×C47C2312yes—
128C2×C22⋊C4×C47C2312yes—
129C24×C47—22no—
130C24×C47—22no—
131C24×C47—28no—
132C24×C47—232no—
133C24×C47—24no—
134C24×C47—24no—
135C24×C47—22no—
136C24×C47—24no—
137C24×C47—24no—
138C24×C47—22no—
139C24×C47—28no—
140C24×C47—28no—
141C24×C47—432no—
142C24×C47—44no—
143C24×C47—44no—
144C24×C47—44no—
145C24×C47—44no—
146C24×C47—432no—
147C24×C47—432no—
148C24×C47C22×C414yes—
149C24×C47C22×C418yes—
150C24×C47C22×C418yes—
151C24×C47C22×C414yes—
152C24×C47C22×C414yes—
153C24×C47C2×D414yes—
154C24×C47#4114yes—
155C24×C47C2412yes—
156C24×C47C2411yescharacteristic
157C24×C47C2411yescharacteristic
158C24×C47C2411yescharacteristic
159C24×C47C2412yes—
160C23×D47—22no—
161C23×D47—22no—
162C23×D47—44no—
163C23×D47C22×C414yescomplemented
164C23×D47C2412yes—
165C22×C4×C47—24no—
166C22×C4×C47—216no—
167C22×C4×C47—216no—
168C22×C4×C47—44no—
169C22×C4×C47—48no—
170C22×C4×C47—44no—
171C22×C4×C47—432no—
172C22×C4×C47C2×D418yescomplemented
173C22×C4×C47C2414yes—
174C22×C4×C47C2414yes—
175C2×C22⋊D47—232no—
176C2×C22⋊D47—24no—
177C2×C22⋊D47—24no—
178C2×C22⋊D47—24no—
179C2×C22⋊D47—24no—
180C2×C22⋊D47—216no—
181C2×C22⋊D47—48no—
182C2×C22⋊D47—432no—
183C2×C22⋊D47C22×C418yes—
184C2×C22⋊D47C22×C4116yes—
185C2×C22⋊D47C22×C418yescomplemented
186C2×C22⋊D47C22×C4116yescomplemented
187C22×Dic47—22no—
188C22×Dic47—22no—
189C22×Dic47—24no—
190C22×Dic47—24no—
191C22×Dic47—44no—
192C22×Dic47—44no—
193C22×Dic47—44no—
194C22×Dic47C22×C414yescomplemented
195C22×Dic47C22×C418yescomplemented
196C22×Dic47C2414yes—
197C22×Dic47C2414yes—
198C22×Dic47C2412yes—
199C22×Dic47C2414yes—
200C2×C4×D47—28no—
201C2×C4×D47—48no—
202C22⋊C4×C47—24no—
203C22⋊C4×C47—24no—
204C22⋊C4×C47—216no—
205C22⋊C4×C47C2×D418yes—
206C22⋊C4×C47C2×D418yescomplemented
207C22⋊Dic47—24no—
208C22⋊Dic47—24no—
209C22⋊Dic47—24no—
210C22⋊Dic47—24no—
211C22⋊Dic47—216no—
212C22⋊Dic47—48no—
213C22⋊Dic47C22×C418yes—
214C22⋊Dic47C22×C4116yes—
215C22⋊Dic47C22×C4116yescomplemented
216C22⋊Dic47C22×C418yescomplemented
217(C2×D47)⋊C4—28no—
218(C2×D47)⋊C4—48no—
219Dic47⋊C4—28no—
220Dic47⋊C4—48no—
221C4×Dic47—28no—
222C4×Dic47—48no—
223C23×C47—216no—
224C23×C47—216no—
225C23×C47—28no—
226C23×C47—216no—
227C23×C47—22no—
228C23×C47—22no—
229C23×C47—24no—
230C23×C47—24no—
231C23×C47—24no—
232C23×C47—24no—
233C23×C47—216no—
234C23×C47—216no—
235C23×C47—28no—
236C23×C47—216no—
237C23×C47—216no—
238C23×C47—22no—
239C23×C47—22no—
240C23×C47—24no—
241C23×C47—24no—
242C23×C47—48no—
243C23×C47—48no—
244C23×C47—48no—
245C23×C47—48no—
246C23×C47—48no—
247C23×C47—48no—
248C23×C47—416no—
249C23×C47—416no—
250C23×C47—416no—
251C23×C47—416no—
252C23×C47—4128no—
253C23×C47—48no—
254C23×C47—48no—
255C23×C47C4×D4116yescomplemented
256C23×C47C23×C414yes—
257C23×C47C23×C412yes—
258C23×C47C23×C412yes—
259C23×C47C23×C412yes—
260C23×C47C23×C414yes—
261C23×C47C22×D412yes—
262C23×C47C22×D412yes—
263C23×C47C22×D412yes—
264C23×C47C2×#4112yes—
265C23×C47C2×#4112yes—
266C23×C47C2×#4112yes—
267C23×C47H(5,𝔽2)18yes—
268C23×C47C2511yescharacteristic
269C22×D47—22no—
270C22×D47—22no—
271C22×D47—28no—
272C22×D47—28no—
273C22×D47—48no—
274C22×D47—84no—
275C22×D47—84no—
276C22×D47C23×C414yes—
277C2×C4×C47—28no—
278C2×C4×C47—24no—
279C2×C4×C47—28no—
280C2×C4×C47—48no—
281C2×C4×C47—432no—
282C2×C4×C47—48no—
283C2×C4×C47C22×D418yes—
284C22⋊D47—216no—
285C22⋊D47—216no—
286C22⋊D47—232no—
287C22⋊D47—416no—
288C2×Dic47—28no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—28no—
292C2×Dic47—24no—
293C2×Dic47—24no—
294C2×Dic47—28no—
295C2×Dic47—28no—
296C2×Dic47—48no—
297C2×Dic47—84no—
298C2×Dic47—84no—
299C2×Dic47C23×C414yes—
300C2×Dic47C23×C418yes—
301C4×D47—88no—
302#34198—471nomaximal, Sylow
303C22×C47—232no—
304C22×C47—24no—
305C22×C47—24no—
306C22×C47—24no—
307C22×C47—24no—
308C22×C47—24no—
309C22×C47—24no—
310C22×C47—24no—
311C22×C47—28no—
312C22×C47—24no—
313C22×C47—24no—
314C22×C47—24no—
315C22×C47—24no—
316C22×C47—28no—
317C22×C47—24no—
318C22×C47—24no—
319C22×C47—24no—
320C22×C47—416no—
321C22×C47—432no—
322C22×C47—432no—
323C22×C47—416no—
324C22×C47—44no—
325C22×C47—44no—
326C22×C47C2×C4×D414yes—
327C22×C47C2×C4×D414yes—
328C22×C47C2×C4×D414yes—
329C22×C47#51818yescomplemented
330C22×C47C24×C411yescharacteristic
331C22×C47C23×D411yescharacteristic
332C22×C47C22×#4111yescharacteristic
333C22×C47C2×H(5,𝔽2)14yes—
334C2×D47—24no—
335C2×D47—28no—
336C2×D47—44no—
337C2×D47—44no—
338C2×D47—88no—
339C4×C47—28no—
340C4×C47—44no—
341Dic47—24no—
342Dic47—28no—
343Dic47—44no—
344Dic47—44no—
345C22×#120—471no—
346C2×#518—471no—
347C23×C22⋊C4D4711yescharacteristic, complemented
348#2358—478no—
349#2342—474no—
350D4×C22⋊C4—474no—
351#2321—474no—
352#2315—471no—
353#2308—471no—
354C4×#120—474no—
355C2×#379—471no—
356#2273—471no—
357C2×C47—24no—
358C2×C47—24no—
359C2×C47—28no—
360C2×C47—24no—
361C2×C47—44no—
362C2×C47C22×C4×D411yescharacteristic
363C2×C47C2×#51812yes—
364C2×C47#348412yes—
365C2×C47#349012yes—
366D47—44no—
367C26C2×D4711yescharacteristic
368C23×D4—471no—
369C23×D4—472no—
370C24×C4C2×D4712yescomplemented
371C2×#120—4716no—
372C2×#120—472no—
373C2×#120—474no—
374C2×#120—472no—
375#518—948no—
376C2×C4×D4—474no—
377C2×C4×D4—478no—
378C2×C4×D4—474no—
379C2×#117—472no—
380C22×C22⋊C4—28no—
381C22×C22⋊C4—471no—
382C22×C22⋊C4—472no—
383C22×C22⋊C4—471no—
384C22×C22⋊C4—471no—
385C22×C22⋊C4—474no—
386C22×C22⋊C4—472no—
387C22×C22⋊C4C2×D4711yescharacteristic
388C22×C22⋊C4C2×D4714yes—
389C22×C22⋊C4C2×D4711yescharacteristic
390C22×C22⋊C4C2×D4712yescomplemented
391C22×C22⋊C4C2×D4714yescomplemented
392#390—478no—
393#388—478no—
394#388—478no—
395#386—474no—
396#386—478no—
397#386—474no—
398#386—478no—
399#385—474no—
400#385—478no—
401#385—474no—
402#381—472no—
403#380—474no—
404#379—472no—
405#379—474no—
406#379—472no—
407#379—472no—
408C4×C22⋊C4—474no—
409C4×C22⋊C4—478no—
410C4×C22⋊C4—474no—
411C4×C22⋊C4—474no—
412C47#3419811yescharacteristic, complemented, Sylow
413C25—24no—
414C25—24no—
415C25—48no—
416C25—471no—
417C25C4×D4718yescomplemented
418C25C22×D4711yescharacteristic
419C25C22×D4712yes—
420C25C22×D4712yes—
421C25C22×D4711yescharacteristic
422C25C22×D4711yescharacteristic
423C22×D4—478no—
424C22×D4—472no—
425C22×D4—474no—
426C22×D4—472no—
427C22×D4—4716no—
428C22×D4—474no—
429C22×D4—944no—
430C22×D4—944no—
431C22×D4—1888no—
432C23×C4—28no—
433C23×C4—48no—
434C23×C4—471no—
435C23×C4—472no—
436C23×C4—472no—
437C23×C4—472no—
438C23×C4—474no—
439C23×C4C22×D4718yes—
440C23×C4C22×D4712yes—
441C23×C4C22×D4712yes—
442#120—4716no—
443#120—4732no—
444#120—4716no—
445C4×D4—9416no—
446C4×D4—9416no—
447C4×D4—18816no—
448#117—948no—
449C2×C4⋊C4—474no—
450C2×C4⋊C4—478no—
451C2×C22⋊C4—24no—
452C2×C22⋊C4—28no—
453C2×C22⋊C4—216no—
454C2×C22⋊C4—216no—
455C2×C22⋊C4—4716no—
456C2×C22⋊C4—478no—
457C2×C22⋊C4—472no—
458C2×C22⋊C4—474no—
459C2×C22⋊C4—472no—
460C2×C22⋊C4—474no—
461C2×C22⋊C4—472no—
462C2×C22⋊C4—472no—
463C2×C22⋊C4—478no—
464C2×C22⋊C4—472no—
465C2×C22⋊C4—472no—
466C2×C22⋊C4—474no—
467C2×C22⋊C4—478no—
468C2×C22⋊C4—478no—
469C2×C22⋊C4—944no—
470C2×C22⋊C4—944no—
471C2×C22⋊C4—948no—
472C2×C22⋊C4—1888no—
473C2×C22⋊C4C22⋊D4718yescomplemented
474C2×C22⋊C4C22×D4712yes—
475C2×C22⋊C4C22×D4712yes—
476C2×C22⋊C4C22×D4718yes—
477C2×C22⋊C4C22×D4712yes—
478C2×C22⋊C4C22×D4712yes—
479C2×C42—474no—
480C2×C42—478no—
481#95—478no—
482#95—478no—
483#95—478no—
484C24—22no—
485C24—22no—
486C24—28no—
487C24—232no—
488C24—24no—
489C24—24no—
490C24—22no—
491C24—24no—
492C24—24no—
493C24—22no—
494C24—28no—
495C24—28no—
496C24—432no—
497C24—44no—
498C24—44no—
499C24—44no—
500C24—44no—
501C24—432no—
502C24—432no—
503C24—472no—
504C24—474no—
505C24—942no—
506C24—942no—
507C24—1884no—
508C24C2×C4×D4714yes—
509C24C2×C4×D4718yes—
510C24C2×C4×D4718yes—
511C24C2×C4×D4714yes—
512C24C2×C4×D4714yes—
513C24#1062535014yes—
514C24C2×C22⋊D4714yes—
515C24C23×D4712yes—
516C24C23×D4711yescharacteristic
517C24C23×D4711yescharacteristic
518C24C23×D4711yescharacteristic
519C24C23×D4712yes—
520C2×D4—478no—
521C2×D4—4716no—
522C2×D4—478no—
523C2×D4—4716no—
524C2×D4—9432no—
525C2×D4—944no—
526C2×D4—944no—
527C2×D4—944no—
528C2×D4—944no—
529C2×D4—9416no—
530C2×D4—1888no—
531C2×D4—18832no—
532C22×C4—24no—
533C22×C4—216no—
534C22×C4—216no—
535C22×C4—44no—
536C22×C4—48no—
537C22×C4—44no—
538C22×C4—432no—
539C22×C4—474no—
540C22×C4—472no—
541C22×C4—474no—
542C22×C4—478no—
543C22×C4—474no—
544C22×C4—474no—
545C22×C4—942no—
546C22×C4—942no—
547C22×C4—944no—
548C22×C4—944no—
549C22×C4—948no—
550C22×C4—1888no—
551C22×C4—1884no—
552C22×C4—1884no—
553C22×C4—1884no—
554C22×C4C2×C22⋊D4718yescomplemented
555C22×C4C23×D4714yes—
556C22×C4C23×D4714yes—
557C4⋊C4—948no—
558C4⋊C4—1888no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—216no—
562C22⋊C4—478no—
563C22⋊C4—4716no—
564C22⋊C4—4716no—
565C22⋊C4—478no—
566C22⋊C4—944no—
567C22⋊C4—944no—
568C22⋊C4—944no—
569C22⋊C4—944no—
570C22⋊C4—9416no—
571C22⋊C4—948no—
572C22⋊C4—1888no—
573C22⋊C4—1888no—
574C22⋊C4C2×C22⋊D4718yes—
575C22⋊C4C2×C22⋊D4718yescomplemented
576C42—948no—
577C42—1888no—
578C23—216no—
579C23—216no—
580C23—28no—
581C23—216no—
582C23—22no—
583C23—22no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—216no—
589C23—216no—
590C23—28no—
591C23—216no—
592C23—216no—
593C23—22no—
594C23—22no—
595C23—24no—
596C23—24no—
597C23—48no—
598C23—48no—
599C23—48no—
600C23—48no—
601C23—48no—
602C23—48no—
603C23—416no—
604C23—416no—
605C23—416no—
606C23—416no—
607C23—4128no—
608C23—48no—
609C23—48no—
610C23—474no—
611C23—948no—
612C23—942no—
613C23—942no—
614C23—948no—
615C23—3764no—
616C23—3764no—
617C23—1888no—
618C23C4×C22⋊D47116yescomplemented
619C23C22×C4×D4714yes—
620C23C22×C4×D4712yes—
621C23C22×C4×D4712yes—
622C23C22×C4×D4712yes—
623C23C22×C4×D4714yes—
624C23C22×C22⋊D4712yes—
625C23C22×C22⋊D4712yes—
626C23C22×C22⋊D4712yes—
627C23C2×#1062535012yes—
628C23C2×#1062535012yes—
629C23C2×#1062535012yes—
630C23#1309406918yes—
631C23C24×D4711yescharacteristic
632D4—9416no—
633D4—9416no—
634D4—9432no—
635D4—18816no—
636C2×C4—28no—
637C2×C4—24no—
638C2×C4—28no—
639C2×C4—48no—
640C2×C4—432no—
641C2×C4—48no—
642C2×C4—474no—
643C2×C4—478no—
644C2×C4—948no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—948no—
648C2×C4—944no—
649C2×C4—944no—
650C2×C4—948no—
651C2×C4—948no—
652C2×C4—3768no—
653C2×C4—3764no—
654C2×C4—3764no—
655C2×C4—1888no—
656C2×C4C22×C22⋊D4718yes—
657C22—232no—
658C22—24no—
659C22—24no—
660C22—24no—
661C22—28no—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—24no—
666C22—24no—
667C22—24no—
668C22—28no—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—24no—
674C22—416no—
675C22—432no—
676C22—432no—
677C22—416no—
678C22—44no—
679C22—44no—
680C22—944no—
681C22—948no—
682C22—3768no—
683C22—1884no—
684C22—1884no—
685C22C2×C4×C22⋊D4714yes—
686C22C2×C4×C22⋊D4714yes—
687C22C2×C4×C22⋊D4714yes—
688C22#1568959618yescomplemented
689C22C23×C4×D4711yescharacteristic
690C22C23×C22⋊D4711yescharacteristic
691C22C22×#1062535011yescharacteristic
692C22C2×#1309406914yes—
693C4—28no—
694C4—44no—
695C4—944no—
696C4—948no—
697C4—1884no—
698C4—1884no—
699C2—24no—
700C2—28no—
701C2—24no—
702C2—24no—
703C2—44no—
704C2—1884no—
705C2C22×C4×C22⋊D4711yescharacteristic
706C2C2×#1568959612yes—
707C2#2025702312yes—
708C2#2025707712yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC23×C22⋊C4×C47C2
socle, cosocleC23×C47C25
prime radicalC22×#13093993C2
hypercenterC23×C22⋊C4D47
hypocenterC47#34198
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#15689596C2semidirect
3. #20246367C2semidirect
4. #20246233C2semidirect
5. C22⋊C4×C22⋊D47C2semidirect
6. #20246046C2semidirect
7. #20246000C2semidirect
8. #20245963C2semidirect
9. C4×#13093993C2semidirect
10. C2×#15688979C2semidirect
11. #20245741C2semidirect
12. C23×C22⋊C4×C47C2semidirect
15. C2×#13093993C4semidirect
20. C2×C4×C22⋊D47C22semidirect
21. C2×C4×C22⋊D47C22semidirect
22. C2×(C22⋊D47)⋊C4C22semidirect
23. C2×#13093980C22semidirect
28. C22×C22⋊Dic47C22semidirect
29. C2×C22⋊C4×D47C22semidirect
30. #15689023C22semidirect
31. #15689017C22semidirect
32. #15689011C22semidirect
33. #15689002C22semidirect
34. #15689002C22semidirect
35. #15689000C22semidirect
36. #15688999C22semidirect
37. #15688996C22semidirect
38. #15688996C22semidirect
39. #15688995C22semidirect
40. #15688984C22semidirect
41. #15688981C22semidirect
43. #15688979C22semidirect
44. #15688979C22semidirect
45. #15688978C22semidirect
46. C22⋊C4×Dic47C22semidirect
47. C22⋊C4×Dic47C22semidirect
48. C4×C22⋊Dic47C22semidirect
49. C4×C22⋊Dic47C22semidirect
51. C24×C4×C47C22semidirect
56. C22×C22⋊C4×C47C22semidirect
57. C22×C22⋊C4×C47C22semidirect
62. C22×C22⋊D47C2×C4semidirect
63. C22×C22⋊D47C2×C4semidirect
72. C22×C4×D47C23semidirect
73. #13093993C2×C4semidirect
74. #13093993C2×C4semidirect
75. #13093993C2×C4semidirect
80. C2×Dic47⋊C4C23semidirect
81. C2×Dic47⋊C4C23semidirect
85. C2×C22⋊Dic47C2×C4semidirect
86. C2×C22⋊Dic47C2×C4semidirect
97. C2×(C2×D47)⋊C4C23semidirect
98. C2×(C2×D47)⋊C4C23semidirect
100. C2×C4×Dic47C23semidirect
101. C2×C4×Dic47C23semidirect
102. C47⋊#95C23semidirect
103. C47⋊#95C23semidirect
104. C47⋊#95C23semidirect
108. C25×C47C2×C4semidirect
123. C2×C22⋊C4×C47D4semidirect
163. C23×D47C22×C4semidirect
172. C22×C4×C47C2×D4semidirect
185. C2×C22⋊D47C22×C4semidirect
186. C2×C22⋊D47C22×C4semidirect
194. C22×Dic47C22×C4semidirect
195. C22×Dic47C22×C4semidirect
206. C22⋊C4×C47C2×D4semidirect
215. C22⋊Dic47C22×C4semidirect
216. C22⋊Dic47C22×C4semidirect
255. C23×C47C4×D4semidirect
329. C22×C47#518semidirect
347. C23×C22⋊C4D47semidirect
370. C24×C4C2×D47semidirect
390. C22×C22⋊C4C2×D47semidirect
391. C22×C22⋊C4C2×D47semidirect
412. C47#34198semidirect
417. C25C4×D47semidirect
473. C2×C22⋊C4C22⋊D47semidirect
554. C22×C4C2×C22⋊D47semidirect
575. C22⋊C4C2×C22⋊D47semidirect
618. C23C4×C22⋊D47semidirect
688. C22#15689596semidirect

Maximal subgroups

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

subgroupindex
C22×#130939932
C2×#156895962
#202463672
#202462332
C22⋊C4×C22⋊D472
#202460462
#202460002
#202459632
C4×#130939932
C2×#156889792
#202457412
C23×C22⋊C4×C472
#3419847