Finite Group Databasebeta

← #26217744

Subgroups — #26217744

Order 12032.

1814 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094044C211yesmaximal, characteristic
2C2×#15689124C211yesmaximal, characteristic, complemented
3C2×#15689122C211yesmaximal, characteristic, complemented
4#20245976C211yesmaximal, characteristic, complemented
5#20243743C212yesmaximal, complemented
6#20243736C212yesmaximal, complemented
7#20243729C212yesmaximal, complemented
8#20243722C212yesmaximal, complemented
9C2×#15688885C211yesmaximal, characteristic, complemented
10#20243085C211yesmaximal, characteristic, complemented
11C2×C47×#520C211yesmaximal, characteristic, complemented
12C22×#10625350C2211yescharacteristic
13C2×#13094044—24no—
14C2×#13094044—24no—
15C2×#13094044C418yescomplemented
16C22×#10625337C2211yescharacteristic
17C22×#10625335C2211yescharacteristic
18C22×#10625336C2211yescharacteristic
19C22×#10625334C2211yescharacteristic
20C22×#10625329C2211yescharacteristic
21C23×C47⋊C8C2211yescharacteristic
22C22×C4⋊Dic47C2211yescharacteristic
23#15689124—24no—
24#15689122—24no—
25C2×#13093948C2212yes—
26C2×#13093947C2212yes—
27C2×#13093945C2212yes—
28C2×#13093944C2212yes—
29#15689029C2212yes—
30#15689025C2212yes—
31#15689000—22no—
32#15688980—21no—
33#15688980—21no—
34#15688885C2212yes—
35#15688885C2212yes—
36#15688878C2212yes—
37#15688878C2212yes—
38C22×#41×C47C2211yescharacteristic
39C47×#520—24no—
40C47×#520—24no—
41C2×C4×Q8×C47C2212yes—
42C2×C4×D4×C47—22no—
43C2×C4×D4×C47C2212yes—
44C2×#117×C47—21no—
45C2×#117×C47C2211yescharacteristic
46C22×C4⋊C4×C47—21no—
47C22×C4⋊C4×C47C2211yescharacteristic
48C2×#10625350—22no—
49C2×#10625350—22no—
50C2×#10625350—22no—
51C2×#10625350—22no—
52C2×#10625350—22no—
53C2×#10625350C2×C414yescomplemented
54C22×Dic94C2311yescharacteristic
55C22×D188C2311yescharacteristic
56C22×C22⋊D47—21no—
57C23×Dic47—21no—
58C22×C4×D47—21no—
59#13094044—232no—
60C2×#10625337—22no—
61C2×#10625337—22no—
62C2×#10625337C2×C414yescomplemented
63C2×#10625335—22no—
64C2×#10625335—22no—
65C2×#10625335C2×C414yescomplemented
66C2×#10625336—22no—
67C2×#10625336—22no—
68C2×#10625336C2×C414yescomplemented
69C2×#10625334—22no—
70C2×#10625334—22no—
71C2×#10625334C2×C414yescomplemented
72C2×#10625329—22no—
73C2×#10625329—22no—
74C2×#10625329—22no—
75C22×C47⋊C8—22no—
76C22×C47⋊C8—22no—
77C22×C47⋊C8C2×C414yescomplemented
78C22×C47⋊C8C2312yes—
79C22×C47⋊C8C2311yescharacteristic
80C22×C47⋊C8C2311yescharacteristic
81C2×C4⋊Dic47—22no—
82C2×C4⋊Dic47—22no—
83C2×C4⋊Dic47—21no—
84C2×C4⋊Dic47C2312yes—
85C2×(C2×D47)⋊C4—22no—
86C2×(C2×D47)⋊C4—22no—
87#13093948—24no—
88#13093947—24no—
89#13093945—24no—
90#13093944—24no—
91C47⋊#95—22no—
92C47⋊#95—22no—
93C2×#41×C47—22no—
94C2×#41×C47—22no—
95C2×#41×C47—22no—
96C2×#41×C47C2×C414yes—
97C2×#41×C47D414yes—
98C2×#41×C47D414yes—
99C22×Q8×C47C2311yescharacteristic
100C22×D4×C47—21no—
101C22×D4×C47C2311yescharacteristic
102C23×C4×C47—21no—
103C23×C4×C47—21no—
104C23×C4×C47—22no—
105C23×C4×C47C2311yescharacteristic
106C4×Q8×C47—24no—
107C4×Q8×C47—24no—
108C4×D4×C47—216no—
109C4×D4×C47—24no—
110C4×D4×C47—24no—
111#117×C47—28no—
112#117×C47—22no—
113#117×C47—22no—
114C2×C4⋊C4×C47—28no—
115C2×C4⋊C4×C47—21no—
116C2×C4⋊C4×C47—22no—
117C2×C4⋊C4×C47—22no—
118C2×C4⋊C4×C47D411yescharacteristic
119C2×C4⋊C4×C47D411yescharacteristic
120C2×C4⋊C4×C47D414yes—
121C2×C4⋊C4×C47C2312yes—
122C2×C22⋊C4×C47—22no—
123C2×C22⋊C4×C47D412yes—
124C2×C42×C47—22no—
125C2×C42×C47C2312yes—
126C24×C47—21no—
127C24×C47C2×D411yescharacteristic
128C23×D47—21no—
129#41×C47—28no—
130#41×C47—28no—
131#41×C47—28no—
132#41×C47C22⋊C4116yescomplemented
133C2×Q8×C47—21no—
134C2×Q8×C47—21no—
135C2×Q8×C47—21no—
136C2×Q8×C47C22×C412yes—
137C2×Q8×C47C2×D412yes—
138C2×Q8×C47C2×D412yes—
139C2×D4×C47—24no—
140C2×D4×C47—24no—
141C2×D4×C47—24no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47C22×C412yes—
146C2×D4×C47C2×D412yes—
147C2×D4×C47C2×D412yes—
148C22×C4×C47—21no—
149C22×C4×C47—24no—
150C22×C4×C47—24no—
151C22×C4×C47—24no—
152C22×C4×C47—22no—
153C22×C4×C47—28no—
154C22×C4×C47—24no—
155C22×C4×C47—82no—
156C22×C4×C47—82no—
157C22×C4×C47—81no—
158C22×C4×C47—81no—
159C22×C4×C47C22×C412yes—
160C22×C4×C47C2×D412yes—
161C22×C4×C47C2×D412yes—
162C22×C4×C47C2×D412yes—
163C22×C4×C47C2×D412yes—
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D412yes—
166C22×C4×C47#4112yes—
167C22×C4×C47#4112yes—
168C22×C4×C47C2411yescharacteristic
169C2×C22⋊D47—24no—
170C2×C22⋊D47—42no—
171C2×C22⋊D47—42no—
172C22×Dic47—21no—
173C22×Dic47—22no—
174C22×Dic47—42no—
175C22×Dic47—81no—
176C22×Dic47—81no—
177#10625350—28no—
178#10625350—28no—
179#10625350—44no—
180#10625350—44no—
181C2×D188—21no—
182C2×D188—21no—
183C2×D188—21no—
184C2×D188—21no—
185C2×D188—21no—
186C2×D188C22×C412yes—
187C2×C4×D47—24no—
188C2×C4×D47—42no—
189C2×C4×D47—42no—
190C2×Dic94—21no—
191C2×Dic94—21no—
192C2×Dic94—21no—
193C2×Dic94—21no—
194C2×Dic94—21no—
195C2×Dic94C22×C412yes—
196C4⋊C4×C47—28no—
197C4⋊C4×C47—22no—
198C4⋊C4×C47—24no—
199C4⋊C4×C47—22no—
200C4⋊C4×C47—22no—
201C4⋊C4×C47C2×D414yes—
202C22⋊C4×C47—28no—
203C22⋊C4×C47—24no—
204C42×C47—28no—
205C42×C47—22no—
206C42×C47—22no—
207#10625337—28no—
208#10625336—28no—
209#10625335—28no—
210#10625334—28no—
211(C2×D47)⋊C4—82no—
212(C2×D47)⋊C4—82no—
213C4⋊Dic47—22no—
214C4⋊Dic47—22no—
215C4⋊Dic47—42no—
216#10625329—44no—
217C2×C47⋊C8—28no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8—21no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8—22no—
223C2×C47⋊C8—22no—
224C2×C47⋊C8—22no—
225C2×C47⋊C8C22×C412yes—
226C2×C47⋊C8C22×C412yes—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47—21no—
230C23×C47—21no—
231C23×C47—22no—
232C23×C47—22no—
233C23×C47—22no—
234C23×C47—41no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47C4×D412yes—
239C23×C47#12012yes—
240C23×C47#12112yes—
241C23×C47C22×D411yescharacteristic
242C22×D47—22no—
243C22×D47—41no—
244C22×D47—41no—
245C22×D47—41no—
246C22×D47—41no—
247C22×D47—41no—
248C22×D47—41no—
249Q8×C47—22no—
250Q8×C47—22no—
251Q8×C47—22no—
252Q8×C47C2×C22⋊C414yes—
253D4×C47—216no—
254D4×C47—22no—
255D4×C47—22no—
256D4×C47—22no—
257D4×C47C2×C22⋊C414yes—
258C2×C4×C47—22no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—216no—
262C2×C4×C47—22no—
263C2×C4×C47—22no—
264C2×C4×C47—24no—
265C2×C4×C47—22no—
266C2×C4×C47—22no—
267C2×C4×C47—22no—
268C2×C4×C47—22no—
269C2×C4×C47—42no—
270C2×C4×C47—42no—
271C2×C4×C47—84no—
272C2×C4×C47—88no—
273C2×C4×C47C2×C22⋊C414yes—
274C2×C4×C47C4×D414yes—
275C2×C4×C47C4×D412yes—
276C2×C4×C47#12012yes—
277C2×C4×C47#12114yes—
278C2×C4×C47#12112yes—
279C2×C4×C47#12314yes—
280C2×C4×C47C23×C411yescharacteristic
281C2×C4×C47C22×D411yescharacteristic
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C47C2×#4111yescharacteristic
285C2×C4×C47C2×#4111yescharacteristic
286C22⋊D47—48no—
287C2×Dic47—22no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—42no—
291C2×Dic47—42no—
292C2×Dic47—42no—
293C2×Dic47—84no—
294D188—22no—
295D188—22no—
296D188—41no—
297D188—41no—
298C4×D47—48no—
299Dic94—22no—
300Dic94—22no—
301Dic94—41no—
302Dic94—41no—
303C47⋊C8—22no—
304C47⋊C8—22no—
305C47⋊C8—42no—
306#20937—471nomaximal, Sylow
307C22×C47—22no—
308C22×C47—22no—
309C22×C47—22no—
310C22×C47—22no—
311C22×C47—22no—
312C22×C47—22no—
313C22×C47—24no—
314C22×C47—42no—
315C22×C47—42no—
316C22×C47—42no—
317C22×C47—42no—
318C22×C47—42no—
319C22×C47—42no—
320C22×C47#38614yes—
321C22×C47C2×C4×D411yescharacteristic
322C22×C47C2×#12011yescharacteristic
323C22×C47C2×#12111yescharacteristic
324C22×C47#57611yescharacteristic
325C22×C47#57711yescharacteristic
326C22×C47#57711yescharacteristic
327C22×C47#57811yescharacteristic
328C2×D47—42no—
329C2×D47—42no—
330C2×D47—42no—
331C2×D47—81no—
332C2×D47—81no—
333C2×D47—81no—
334C2×D47—81no—
335C4×C47—24no—
336C4×C47—42no—
337C4×C47—44no—
338C4×C47—42no—
339C4×C47#38614yes—
340C4×C47C22×C22⋊C411yescharacteristic
341C4×C47C2×C4×D411yescharacteristic
342C4×C47C2×#12111yescharacteristic
343C4×C47C2×#12311yescharacteristic
344Dic47—42no—
345Dic47—82no—
346C22×#135—471no—
347C2×#520D4711yescharacteristic, complemented
348C2×#417—471no—
349C2×#417—471no—
350#2311—471no—
351#1880—472no—
352#1879—472no—
353#1878—472no—
354#1877—472no—
355C2×#340—471no—
356#1729—471no—
357C2×C47—24no—
358C2×C47—44no—
359C2×C47C2×#38611yescharacteristic
360C2×C47#295111yescharacteristic
361C2×C47#295211yescharacteristic
362C2×C47#301211yescharacteristic
363C2×C47#301311yescharacteristic
364C2×C47#304511yescharacteristic
365C2×C47#304611yescharacteristic
366D47—82no—
367C22×#41—471no—
368C22×#41C2×D4711yescharacteristic
369C2×#135—478no—
370C2×#135—944no—
371C2×#135—944no—
372C22×Q16—471no—
373C22×SD16—471no—
374C22×SD16—471no—
375C22×D8—471no—
376C22×M16—471no—
377C23×C8—471no—
378#520—24no—
379#520—24no—
380C2×C4×Q8C2×D4712yes—
381C2×C4×D4—22no—
382C2×C4×D4C2×D4712yes—
383C2×#117—21no—
384C2×#117C2×D4711yescharacteristic
385C22×C4⋊C4—21no—
386C22×C4⋊C4—471no—
387C22×C4⋊C4C2×D4711yescharacteristic
388#417—944no—
389#417—944no—
390C2×#103—472no—
391C2×#103—472no—
392C2×#102—472no—
393C2×#102—472no—
394#391—472no—
395#390—472no—
396#386—942no—
397#380—941no—
398#380—941no—
399#340—472no—
400#340—472no—
401#336—472no—
402#336—472no—
403C47#2093711yescharacteristic, complemented, Sylow
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—22no—
407C2×#41—474no—
408C2×#41—942no—
409C2×#41—942no—
410C2×#41—942no—
411C2×#41—942no—
412C2×#41—942no—
413C2×#41C4×D4714yes—
414C2×#41D18814yes—
415C2×#41C22⋊D4714yes—
416C22×Q8—471no—
417C22×Q8C22×D4711yescharacteristic
418C22×D4—21no—
419C22×D4—471no—
420C22×D4—941no—
421C22×D4C22×D4711yescharacteristic
422C23×C4—21no—
423C23×C4—21no—
424C23×C4—22no—
425C23×C4—941no—
426C23×C4—941no—
427C23×C4C22×D4711yescharacteristic
428#135—9432no—
429C2×Q16—474no—
430C2×Q16—942no—
431C2×Q16—942no—
432C2×SD16—474no—
433C2×SD16—474no—
434C2×SD16—942no—
435C2×SD16—942no—
436C2×SD16—942no—
437C2×SD16—942no—
438C2×D8—474no—
439C2×D8—942no—
440C2×D8—942no—
441C2×M16—942no—
442C2×M16—942no—
443C2×M16—942no—
444C22×C8—474no—
445C22×C8—471no—
446C22×C8—471no—
447C22×C8—472no—
448C22×C8—942no—
449C22×C8—942no—
450C4×Q8—24no—
451C4×Q8—24no—
452C4×D4—216no—
453C4×D4—24no—
454C4×D4—24no—
455#117—28no—
456#117—22no—
457#117—22no—
458C2×C4⋊C4—28no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4—22no—
462C2×C4⋊C4—472no—
463C2×C4⋊C4—942no—
464C2×C4⋊C4—942no—
465C2×C4⋊C4—941no—
466C2×C4⋊C4C22⋊D4711yescharacteristic
467C2×C4⋊C4C22⋊D4711yescharacteristic
468C2×C4⋊C4C22⋊D4714yes—
469C2×C4⋊C4C22×D4712yes—
470C2×C22⋊C4—22no—
471C2×C22⋊C4—942no—
472C2×C22⋊C4—942no—
473C2×C22⋊C4C22⋊D4712yes—
474C2×C42—22no—
475C2×C42C22×D4712yes—
476#103—944no—
477#103—944no—
478#102—944no—
479#102—944no—
480#95—942no—
481#95—942no—
482C24—21no—
483C24—941no—
484C24C2×C22⋊D4711yescharacteristic
485#41—28no—
486#41—28no—
487#41—28no—
488#41—948no—
489#41—948no—
490#41—1884no—
491#41—1884no—
492#41(C2×D47)⋊C4116yescomplemented
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—472no—
497C2×Q8—941no—
498C2×Q8—941no—
499C2×Q8—941no—
500C2×Q8—941no—
501C2×Q8—941no—
502C2×Q8C2×C4×D4712yes—
503C2×Q8C2×D18812yes—
504C2×Q8C2×C22⋊D4712yes—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—472no—
512C2×D4—944no—
513C2×D4—941no—
514C2×D4—941no—
515C2×D4—941no—
516C2×D4—941no—
517C2×D4—941no—
518C2×D4—1882no—
519C2×D4—1882no—
520C2×D4C2×C4×D4712yes—
521C2×D4C2×D18812yes—
522C2×D4C2×C22⋊D4712yes—
523C22×C4—21no—
524C22×C4—24no—
525C22×C4—24no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—28no—
529C22×C4—24no—
530C22×C4—82no—
531C22×C4—82no—
532C22×C4—81no—
533C22×C4—81no—
534C22×C4—941no—
535C22×C4—944no—
536C22×C4—942no—
537C22×C4—3761no—
538C22×C4—3761no—
539C22×C4—1882no—
540C22×C4—1882no—
541C22×C4—1882no—
542C22×C4C2×C4×D4712yes—
543C22×C4C2×D18812yes—
544C22×C4#1062535012yes—
545C22×C4#1062535012yes—
546C22×C4C2×C22⋊D4712yes—
547C22×C4C2×C22⋊D4712yes—
548C22×C4C2×C22⋊D4712yes—
549C22×C4C2×C22⋊D4711yescharacteristic
550C22×C4C2×C22⋊D4712yes—
551C22×C4C23×D4711yescharacteristic
552Q16—948no—
553SD16—948no—
554SD16—948no—
555D8—948no—
556M16—1884no—
557C2×C8—472no—
558C2×C8—472no—
559C2×C8—948no—
560C2×C8—941no—
561C2×C8—941no—
562C2×C8—941no—
563C2×C8—941no—
564C2×C8—942no—
565C2×C8—942no—
566C2×C8—942no—
567C4⋊C4—28no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—942no—
573C4⋊C4—942no—
574C4⋊C4—1882no—
575C4⋊C4C2×C22⋊D4714yes—
576C22⋊C4—28no—
577C22⋊C4—24no—
578C22⋊C4—3762no—
579C22⋊C4—3762no—
580C42—28no—
581C42—22no—
582C42—22no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—942no—
595C23—1881no—
596C23—1881no—
597C23—1881no—
598C23—1881no—
599C23—1881no—
600C23—1881no—
601C23C4×C22⋊D4712yes—
602C23#1309399312yes—
603C23#1309399812yes—
604C23C22×C22⋊D4711yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—942no—
609Q8—942no—
610Q8—1881no—
611Q8—1881no—
612Q8C2×(C2×D47)⋊C414yes—
613D4—216no—
614D4—22no—
615D4—22no—
616D4—22no—
617D4—942no—
618D4—942no—
619D4—1888no—
620D4—1881no—
621D4—1881no—
622D4C2×(C2×D47)⋊C414yes—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—216no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—84no—
637C2×C4—88no—
638C2×C4—942no—
639C2×C4—3764no—
640C2×C4—1882no—
641C2×C4—1882no—
642C2×C4—1882no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1888no—
646C2×C4C2×(C2×D47)⋊C414yes—
647C2×C4C4×C22⋊D4712yes—
648C2×C4C4×C22⋊D4714yes—
649C2×C4#1309399312yes—
650C2×C4#1309399812yes—
651C2×C4#1309399814yes—
652C2×C4#1309400714yes—
653C2×C4C22×C4×D4711yescharacteristic
654C2×C4C22×C22⋊D4711yescharacteristic
655C2×C4C22×C22⋊D4711yescharacteristic
656C2×C4C22×D18811yescharacteristic
657C2×C4C2×#1062535011yescharacteristic
658C2×C4C2×#1062535011yescharacteristic
659C8—942no—
660C8—942no—
661C8—1882no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—24no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—3761no—
676C22—3761no—
677C22—3761no—
678C22—3761no—
679C22—1882no—
680C22—1882no—
681C22—1882no—
682C22#1568900214yes—
683C22C2×C4×C22⋊D4711yescharacteristic
684C22C2×#1309399311yescharacteristic
685C22C2×#1309399811yescharacteristic
686C22#1568992611yescharacteristic
687C22#1568993111yescharacteristic
688C22#1568993411yescharacteristic
689C22#1568993811yescharacteristic
690C4—24no—
691C4—42no—
692C4—44no—
693C4—42no—
694C4—3762no—
695C4—1882no—
696C4#1568900214yes—
697C4C22×(C2×D47)⋊C411yescharacteristic
698C4C2×C4×C22⋊D4711yescharacteristic
699C4C2×#1309399811yescharacteristic
700C4C2×#1309400711yescharacteristic
701C2—24no—
702C2—44no—
703C2—3762no—
704C2C2×#1568900211yescharacteristic
705C2#2025226111yescharacteristic
706C2#2025226911yescharacteristic
707C2#2025269211yescharacteristic
708C2#2025270311yescharacteristic
709C2#2025292711yescharacteristic
710C2#2025293811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#520C2
socleC23×C47C22×D4
prime radicalC22×#13094044C2
cosocleC22×C4×C47C24
hypercenterC2×#520D47
hypocenterC47#20937
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C2×#15689124C2semidirect
3. C2×#15689122C2semidirect
4. #20245976C2semidirect
5. #20243743C2semidirect
6. #20243736C2semidirect
7. #20243729C2semidirect
8. #20243722C2semidirect
9. C2×#15688885C2semidirect
10. #20243085C2semidirect
11. C2×C47×#520C2semidirect
15. C2×#13094044C4semidirect
53. C2×#10625350C2×C4semidirect
62. C2×#10625337C2×C4semidirect
65. C2×#10625335C2×C4semidirect
68. C2×#10625336C2×C4semidirect
71. C2×#10625334C2×C4semidirect
77. C22×C47⋊C8C2×C4semidirect
132. #41×C47C22⋊C4semidirect
347. C2×#520D47semidirect
403. C47#20937semidirect
492. #41(C2×D47)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#130940442
C2×#156891242
C2×#156891222
#202459762
#202437432
#202437362
#202437292
#202437222
C2×#156888852
#202430852
C2×C47×#5202
#2093747