Finite Group Databasebeta

← #27083915

Subgroups — #27083915

Order 12032.

2030 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20256589C211yesmaximal, characteristic
2#20253246C214yesmaximal, complemented
3#20253235C214yesmaximal, complemented
4#20253224C214yesmaximal, complemented
5#20253213C214yesmaximal, complemented
6#20253206C214yesmaximal, complemented
7#20253197C214yesmaximal, complemented
8#20251977C211yesmaximal, characteristic, complemented
9C2×#15689163C211yesmaximal, characteristic, complemented
10#20251952C211yesmaximal, characteristic, complemented
11#20251905C211yesmaximal, characteristic
12C2×#15689122C211yesmaximal, characteristic
13C2×C47×#544C211yesmaximal, characteristic, complemented
14C22×#10625350C2211yescharacteristic
15C22×#10625329C2211yescharacteristic
16C22×#10625329C2211yescharacteristic
17#15689604—21no—
18#15689604—21no—
19#15689603C2212yes—
20#15689603C2212yes—
21#15689600C2212yes—
22#15689597C2212yes—
23#15689596—22no—
24C4×#10625350C2214yes—
25#15689591—22no—
26C2×#13093983C2211yescharacteristic
27#117×D47—22no—
28#15689427C2218yescomplemented
29#15689427C2218yescomplemented
30#15689420C2218yescomplemented
31#15689420C2218yescomplemented
32#15689415C2218yescomplemented
33#15689410C2218yescomplemented
34#15689405C2218yescomplemented
35#15689400C2218yescomplemented
36#15689166C2212yescomplemented
37#15689166C2212yescomplemented
38#15689163C2214yes—
39#15689163C2212yescomplemented
40#15689163C2214yescomplemented
41#15689163C2212yescomplemented
42#15689159C2214yes—
43C2×#13093957C2212yescomplemented
44C2×#13093955C2212yescomplemented
45#15689150C2214yes—
46#15689150C2214yescomplemented
47#15689147C2214yescomplemented
48#15689131C2212yes—
49#15689127C2212yes—
50#15689122C2212yes—
51#15689122C2212yes—
52#15689122C2214yes—
53#15689122C2214yes—
54#15689117C2214yes—
55C2×#13093947C2212yes—
56C2×#13093944C2212yes—
57C47×#544—22no—
58C47×#544—22no—
59C47×#544C2214yes—
60C47×#544C2214yescomplemented
61C2×C4⋊Q8×C47—21no—
62C2×C4⋊Q8×C47C2212yescomplemented
63C2×#125×C47—21no—
64C2×#125×C47C2212yescomplemented
65C2×C22⋊Q8×C47—22no—
66C2×#117×C47C2211yescharacteristic
67C2×#117×C47C2211yescharacteristic
68C22×C4⋊C4×C47C2211yescharacteristic
69C2×#10625350—21no—
70C2×#10625350—21no—
71C2×#10625350—24no—
72C2×#10625350Q818yescomplemented
73C2×#10625350C2312yes—
74C2×#10625350C2312yes—
75C22×Dic94C2311yescharacteristic
76C22×D188C2311yescharacteristic
77C22×C22⋊D47—21no—
78C22×C4×D47—21no—
79C2×#10625329—24no—
80C2×#10625329—24no—
81C2×#10625329C2312yes—
82C2×#10625329C2312yes—
83C2×#10625329C2312yes—
84C2×#10625329C2312yes—
85C22×C47⋊C8C2312yes—
86C22×C47⋊C8C2312yes—
87C4×Dic94C2314yes—
88C4×Dic94C2314yes—
89#13093989—22no—
90#13093989—22no—
91C4×D188C2314yes—
92C4×D188C2314yes—
93#13093986—22no—
94#13093986—22no—
95C4×C22⋊D47—24no—
96C4×C22⋊D47—24no—
97(C22⋊D47)⋊C4—24no—
98(C22⋊D47)⋊C4—24no—
99#13093983—21no—
100#13093983—21no—
101#13093983C2312yes—
102#13093983C2312yes—
103#13093982—22no—
104#13093982—22no—
105#13093981—24no—
106#13093980—24no—
107C2×C4⋊Dic47C2311yescharacteristic
108C2×C4⋊Dic47C2311yescharacteristic
109C4⋊C4×D47—22no—
110C4⋊C4×D47—22no—
111C2×C22⋊Dic47—21no—
112C22⋊C4×D47—24no—
113C2×C4×Dic47—21no—
114C42×D47—24no—
115#13093957C2314yes—
116#13093957C2318yes—
117#13093957C2314yes—
118#13093955C2314yes—
119#13093955C2318yes—
120#13093955C2314yes—
121C4⋊(C47⋊C8)C2318yes—
122C4⋊(C47⋊C8)C2318yes—
123#13093947C2318yes—
124#13093947C2314yes—
125#13093947C2314yes—
126#13093944C2318yes—
127#13093944C2314yes—
128#13093944C2314yes—
129C22×Q8×C47—22no—
130C23×C4×C47—21no—
131C23×C4×C47C2311yescharacteristic
132C4⋊Q8×C47—24no—
133C4⋊Q8×C47—24no—
134C4⋊Q8×C47—24no—
135C4⋊Q8×C47C2318yes—
136#125×C47—24no—
137#125×C47—24no—
138#125×C47—24no—
139#125×C47C2318yes—
140C22⋊Q8×C47—28no—
141C22⋊Q8×C47—28no—
142#117×C47—21no—
143#117×C47—21no—
144#117×C47D412yes—
145#117×C47D412yes—
146#117×C47C2312yes—
147#117×C47C2312yes—
148#117×C47C2312yes—
149#117×C47C2312yes—
150C2×C4⋊C4×C47—21no—
151C2×C4⋊C4×C47—21no—
152C2×C4⋊C4×C47—21no—
153C2×C4⋊C4×C47—22no—
154C2×C4⋊C4×C47—22no—
155C2×C4⋊C4×C47—22no—
156C2×C4⋊C4×C47D411yescharacteristic
157C2×C4⋊C4×C47D411yescharacteristic
158C2×C4⋊C4×C47C2312yes—
159C2×C4⋊C4×C47C2312yes—
160C2×C4⋊C4×C47C2312yes—
161C2×C4⋊C4×C47C2311yescharacteristic
162C2×C4⋊C4×C47C2311yescharacteristic
163C2×C22⋊C4×C47—21no—
164C2×C22⋊C4×C47D412yes—
165C2×C42×C47—21no—
166C2×C42×C47C2312yes—
167C24×C47C2×D411yescharacteristic
168C23×D47—21no—
169C2×Q8×C47—28no—
170C2×Q8×C47—84no—
171C22×C4×C47—21no—
172C22×C4×C47—21no—
173C22×C4×C47—22no—
174C22×C4×C47—22no—
175C22×C4×C47—22no—
176C22×C4×C47—82no—
177C22×C4×C47C2×D412yes—
178C22×C4×C47C2×D412yes—
179C22×C4×C47C2×D411yescharacteristic
180C22×C4×C47C2×D411yescharacteristic
181C22×C4×C47C2×D411yescharacteristic
182C22×C4×C47C2×Q814yes—
183C22×C4×C47#4114yes—
184C22×C4×C47C2411yescharacteristic
185C22×C4×C47C2411yescharacteristic
186C22×C4×C47C2411yescharacteristic
187C2×C22⋊D47—28no—
188C2×C22⋊D47—22no—
189C2×C22⋊D47—22no—
190C22×Dic47—21no—
191C22×Dic47—21no—
192C22×Dic47—21no—
193#10625350—28no—
194#10625350—28no—
195#10625350—24no—
196#10625350—24no—
197#10625350C2×Q818yes—
198#10625350C2×Q818yescomplemented
199C2×D188—21no—
200C2×D188—22no—
201C2×D188C2×Q814yescomplemented
202C2×D188C2412yes—
203C2×C4×D47—28no—
204C2×C4×D47—22no—
205C2×C4×D47—22no—
206C2×C4×D47—24no—
207C2×C4×D47—24no—
208C2×Dic94—21no—
209C2×Dic94—22no—
210C2×Dic94C2×Q814yescomplemented
211C2×Dic94C2412yes—
212C4⋊C4×C47—22no—
213C4⋊C4×C47—22no—
214C4⋊C4×C47—22no—
215C4⋊C4×C47—28no—
216C4⋊C4×C47—28no—
217C4⋊C4×C47—28no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47—21no—
220C4⋊C4×C47C2×D412yes—
221C4⋊C4×C47C2×D412yes—
222C4⋊C4×C47C2×D412yes—
223C4⋊C4×C47C2×D412yes—
224C4⋊C4×C47C2414yes—
225C4⋊C4×C47C2412yes—
226C4⋊C4×C47C2412yes—
227C22⋊C4×C47—22no—
228C22⋊C4×C47—22no—
229C22⋊C4×C47C2×D414yes—
230C22⋊C4×C47C2×D414yes—
231C42×C47—22no—
232C42×C47—22no—
233C42×C47C2×D414yes—
234C42×C47C2414yes—
235C22⋊Dic47—22no—
236C22⋊Dic47—22no—
237(C2×D47)⋊C4—24no—
238(C2×D47)⋊C4—24no—
239C4⋊Dic47—21no—
240C4⋊Dic47—21no—
241C4⋊Dic47C2412yes—
242C4⋊Dic47C2412yes—
243Dic47⋊C4—24no—
244Dic47⋊C4—24no—
245C4×Dic47—22no—
246C4×Dic47—24no—
247C4×Dic47—24no—
248C4×Dic47—22no—
249#10625329—24no—
250#10625329—24no—
251#10625329—24no—
252#10625329—24no—
253C2×C47⋊C8—24no—
254C2×C47⋊C8—24no—
255C2×C47⋊C8C2414yes—
256C2×C47⋊C8C2414yes—
257C23×C47—41no—
258C23×C47—41no—
259C23×C47C22⋊Q814yes—
260C23×C47C22×D411yescharacteristic
261C23×C47C22×D411yescharacteristic
262C23×C47C22×D411yescharacteristic
263C22×D47—22no—
264C22×D47—24no—
265C22×D47—81no—
266C22×D47—81no—
267Q8×C47—88no—
268C2×C4×C47—22no—
269C2×C4×C47—22no—
270C2×C4×C47—24no—
271C2×C4×C47—42no—
272C2×C4×C47—42no—
273C2×C4×C47—42no—
274C2×C4×C47—44no—
275C2×C4×C47—42no—
276C2×C4×C47—82no—
277C2×C4×C47—82no—
278C2×C4×C47C22⋊Q814yes—
279C2×C4×C47C22⋊Q814yes—
280C2×C4×C47C22⋊Q814yes—
281C2×C4×C47C22×D414yes—
282C2×C4×C47C22×D414yes—
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C47C22×D411yescharacteristic
285C2×C4×C47C22×D411yescharacteristic
286C2×C4×C47C22×Q812yes—
287C2×C4×C47C22×Q812yes—
288C2×C4×C47C22×Q812yes—
289C2×C4×C47C2×#4112yes—
290C2×C4×C47C2×#4112yes—
291C2×C4×C47C2×#4112yes—
292C2×C4×C47C2511yescharacteristic
293C22⋊D47—28no—
294C22⋊D47—28no—
295C2×Dic47—24no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—81no—
300C2×Dic47—81no—
301D188—24no—
302D188—22no—
303D188C22×Q814yes—
304C4×D47—28no—
305C4×D47—28no—
306C4×D47—84no—
307C4×D47—84no—
308Dic94—24no—
309Dic94—22no—
310Dic94C22×Q814yes—
311C47⋊C8—24no—
312C47⋊C8—24no—
313#60493—471nomaximal, Sylow
314C22×C47—21no—
315C22×C47—21no—
316C22×C47—21no—
317C22×C47—21no—
318C22×C47—21no—
319C22×C47—21no—
320C22×C47—44no—
321C22×C47C2×C22⋊Q812yes—
322C22×C47C2×C22⋊Q812yes—
323C22×C47C2×C22⋊Q812yes—
324C22×C47C23×D411yescharacteristic
325C2×D47—24no—
326C2×D47—42no—
327C2×D47—42no—
328C2×D47—84no—
329C4×C47—24no—
330C4×C47—24no—
331C4×C47—44no—
332C4×C47—42no—
333C4×C47—42no—
334C4×C47C2×C22⋊Q812yes—
335C4×C47C2×C22⋊Q812yes—
336C4×C47C2×C22⋊Q812yes—
337C4×C47C23×Q811yescharacteristic
338C4×C47C22×#4111yescharacteristic
339Dic47—24no—
340Dic47—42no—
341Dic47—42no—
342C2×#544D4711yescharacteristic, complemented
343#3428—471no—
344#3084—474no—
345#3083—474no—
346#3082—474no—
347#3081—474no—
348#3080—474no—
349#3079—474no—
350#2911—471no—
351C2×#428—471no—
352#2905—471no—
353#2896—471no—
354C2×#417—471no—
355C2×C47—22no—
356C2×C47—22no—
357C2×C47—22no—
358C2×C47C22×C22⋊Q811yescharacteristic
359C2×C47#358511yescharacteristic
360C2×C47#358611yescharacteristic
361D47—44no—
362C22×#41—471no—
363C22×M16—471no—
364C22×M16—471no—
365#544—22no—
366#544—22no—
367#544C2×D4714yes—
368#544C2×D4714yescomplemented
369C2×C4⋊Q8—21no—
370C2×C4⋊Q8C2×D4712yescomplemented
371C2×#125—21no—
372C2×#125C2×D4712yescomplemented
373C2×C22⋊Q8—22no—
374#520—472no—
375#520—472no—
376#520—941no—
377#520—941no—
378#519—472no—
379#518—472no—
380#518—942no—
381C4×#41—474no—
382C4×#41—942no—
383C2×#117—471no—
384C2×#117—942no—
385C2×#117C2×D4711yescharacteristic
386C2×#117C2×D4711yescharacteristic
387C22×C4⋊C4C2×D4711yescharacteristic
388#479—478no—
389#479—478no—
390#478—478no—
391#478—478no—
392#477—478no—
393#476—478no—
394#475—478no—
395#474—478no—
396#428—472no—
397#428—472no—
398#428—472no—
399#428—474no—
400#428—472no—
401#428—474no—
402#427—474no—
403C2×#107—472no—
404C2×#106—472no—
405#424—474no—
406#424—474no—
407#423—474no—
408#419—472no—
409#418—472no—
410#417—472no—
411#417—474no—
412#417—472no—
413#417—474no—
414#416—474no—
415C2×#103—472no—
416C2×#102—472no—
417C47#6049311yescharacteristic, complemented, Sylow
418C2×#41—478no—
419C2×#41—472no—
420C2×#41—472no—
421C2×#41—944no—
422C2×#41—941no—
423C2×#41—941no—
424C22×Q8—22no—
425C22×Q8—471no—
426C22×D4—471no—
427C22×D4—941no—
428C23×C4—21no—
429C23×C4—941no—
430C23×C4C22×D4711yescharacteristic
431C2×M16—472no—
432C2×M16—472no—
433C2×M16—472no—
434C2×M16—472no—
435C2×M16—944no—
436C2×M16—944no—
437C22×C8—472no—
438C22×C8—472no—
439C4⋊Q8—24no—
440C4⋊Q8—24no—
441C4⋊Q8—24no—
442C4⋊Q8C22×D4718yes—
443#125—24no—
444#125—24no—
445#125—24no—
446#125C22×D4718yes—
447C22⋊Q8—28no—
448C22⋊Q8—28no—
449C4×Q8—474no—
450C4×Q8—474no—
451C4×Q8—942no—
452C4×Q8—942no—
453C4×D4—474no—
454C4×D4—474no—
455C4×D4—944no—
456C4×D4—944no—
457C4×D4—942no—
458C4×D4—942no—
459C4×D4—944no—
460C4×D4—944no—
461#117—21no—
462#117—21no—
463#117—472no—
464#117—472no—
465#117—941no—
466#117—941no—
467#117—942no—
468#117—942no—
469#117—944no—
470#117—944no—
471#117C22⋊D4712yes—
472#117C22⋊D4712yes—
473#117C22×D4712yes—
474#117C22×D4712yes—
475#117C22×D4712yes—
476#117C22×D4712yes—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—22no—
481C2×C4⋊C4—22no—
482C2×C4⋊C4—22no—
483C2×C4⋊C4—471no—
484C2×C4⋊C4—471no—
485C2×C4⋊C4—942no—
486C2×C4⋊C4—942no—
487C2×C4⋊C4C22⋊D4711yescharacteristic
488C2×C4⋊C4C22⋊D4711yescharacteristic
489C2×C4⋊C4C22×D4712yes—
490C2×C4⋊C4C22×D4712yes—
491C2×C4⋊C4C22×D4712yes—
492C2×C4⋊C4C22×D4711yescharacteristic
493C2×C4⋊C4C22×D4711yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—941no—
496C2×C22⋊C4—944no—
497C2×C22⋊C4C22⋊D4712yes—
498C2×C42—21no—
499C2×C42—941no—
500C2×C42—944no—
501C2×C42C22×D4712yes—
502#107—478no—
503#107—474no—
504#107—474no—
505#106—478no—
506#106—474no—
507#106—474no—
508C4⋊C8—478no—
509C4⋊C8—478no—
510#103—478no—
511#103—474no—
512#103—474no—
513#102—478no—
514#102—474no—
515#102—474no—
516C24—941no—
517C24C2×C22⋊D4711yescharacteristic
518#41—478no—
519#41—478no—
520#41—948no—
521#41—948no—
522#41—944no—
523#41—944no—
524C2×Q8—28no—
525C2×Q8—84no—
526C2×Q8—474no—
527C2×Q8—472no—
528C2×Q8—941no—
529C2×Q8—942no—
530C2×D4—474no—
531C2×D4—472no—
532C2×D4—948no—
533C2×D4—942no—
534C2×D4—942no—
535C2×D4—941no—
536C2×D4—942no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—82no—
543C22×C4—941no—
544C22×C4—948no—
545C22×C4—942no—
546C22×C4—942no—
547C22×C4—941no—
548C22×C4—941no—
549C22×C4—944no—
550C22×C4—944no—
551C22×C4Q8×D4714yes—
552C22×C4#1062535414yes—
553C22×C4C2×C22⋊D4712yes—
554C22×C4C2×C22⋊D4712yes—
555C22×C4C2×C22⋊D4711yescharacteristic
556C22×C4C2×C22⋊D4711yescharacteristic
557C22×C4C2×C22⋊D4711yescharacteristic
558C22×C4C23×D4711yescharacteristic
559C22×C4C23×D4711yescharacteristic
560C22×C4C23×D4711yescharacteristic
561M16—944no—
562M16—944no—
563M16—944no—
564M16—944no—
565C2×C8—474no—
566C2×C8—474no—
567C2×C8—944no—
568C2×C8—944no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—28no—
573C4⋊C4—28no—
574C4⋊C4—28no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—472no—
578C4⋊C4—472no—
579C4⋊C4—944no—
580C4⋊C4—944no—
581C4⋊C4—941no—
582C4⋊C4—941no—
583C4⋊C4C2×C22⋊D4712yes—
584C4⋊C4C2×C22⋊D4712yes—
585C4⋊C4C2×C22⋊D4712yes—
586C4⋊C4C2×C22⋊D4712yes—
587C4⋊C4C23×D4714yes—
588C4⋊C4C23×D4712yes—
589C4⋊C4C23×D4712yes—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—942no—
593C22⋊C4—942no—
594C22⋊C4—944no—
595C22⋊C4—944no—
596C22⋊C4C2×C22⋊D4714yes—
597C22⋊C4C2×C22⋊D4714yes—
598C42—22no—
599C42—22no—
600C42—942no—
601C42—942no—
602C42—944no—
603C42—944no—
604C42C2×C22⋊D4714yes—
605C42C23×D4714yes—
606C23—41no—
607C23—41no—
608C23—944no—
609C23—942no—
610C23—3761no—
611C23—3761no—
612C23#1309400014yes—
613C23C22×C22⋊D4711yescharacteristic
614C23C22×C22⋊D4711yescharacteristic
615C23C22×C22⋊D4711yescharacteristic
616Q8—88no—
617Q8—474no—
618Q8—944no—
619Q8—942no—
620D4—474no—
621D4—948no—
622D4—948no—
623D4—944no—
624D4—942no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—44no—
632C2×C4—42no—
633C2×C4—82no—
634C2×C4—82no—
635C2×C4—944no—
636C2×C4—942no—
637C2×C4—948no—
638C2×C4—948no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—3764no—
642C2×C4—3764no—
643C2×C4—3761no—
644C2×C4—3761no—
645C2×C4#1309400014yes—
646C2×C4#1309400014yes—
647C2×C4#1309400014yes—
648C2×C4C22×C22⋊D4714yes—
649C2×C4C22×C22⋊D4714yes—
650C2×C4C22×C22⋊D4711yescharacteristic
651C2×C4C22×C22⋊D4711yescharacteristic
652C2×C4C22×C22⋊D4711yescharacteristic
653C2×C4C2×Q8×D4712yes—
654C2×C4C2×Q8×D4712yes—
655C2×C4C2×Q8×D4712yes—
656C2×C4C2×#1062535412yes—
657C2×C4C2×#1062535412yes—
658C2×C4C2×#1062535412yes—
659C2×C4C24×D4711yescharacteristic
660C8—944no—
661C8—944no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—44no—
669C22—944no—
670C22—3764no—
671C22—1882no—
672C22—1882no—
673C22C2×#1309400012yes—
674C22C2×#1309400012yes—
675C22C2×#1309400012yes—
676C22C23×C22⋊D4711yescharacteristic
677C4—24no—
678C4—24no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—944no—
683C4—1882no—
684C4—1882no—
685C4C2×#1309400012yes—
686C4C2×#1309400012yes—
687C4C2×#1309400012yes—
688C4C22×Q8×D4711yescharacteristic
689C4C22×#1062535411yescharacteristic
690C2—22no—
691C2—22no—
692C2—22no—
693C2—1884no—
694C2C22×#1309400011yescharacteristic
695C2#2025816811yescharacteristic
696C2#2025817511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#544C2
socleC22×C47C23×D4
prime radicalC22×#10625350C22
hypercenterC2×#544D47
hypocenterC47#60493
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
2. #20253246C2semidirect
3. #20253235C2semidirect
4. #20253224C2semidirect
5. #20253213C2semidirect
6. #20253206C2semidirect
7. #20253197C2semidirect
8. #20251977C2semidirect
9. C2×#15689163C2semidirect
10. #20251952C2semidirect
13. C2×C47×#544C2semidirect
28. #15689427C22semidirect
29. #15689427C22semidirect
30. #15689420C22semidirect
31. #15689420C22semidirect
32. #15689415C22semidirect
33. #15689410C22semidirect
34. #15689405C22semidirect
35. #15689400C22semidirect
36. #15689166C22semidirect
37. #15689166C22semidirect
39. #15689163C22semidirect
40. #15689163C22semidirect
41. #15689163C22semidirect
43. C2×#13093957C22semidirect
44. C2×#13093955C22semidirect
46. #15689150C22semidirect
47. #15689147C22semidirect
60. C47×#544C22semidirect
62. C2×C4⋊Q8×C47C22semidirect
64. C2×#125×C47C22semidirect
72. C2×#10625350Q8semidirect
198. #10625350C2×Q8semidirect
201. C2×D188C2×Q8semidirect
210. C2×Dic94C2×Q8semidirect
342. C2×#544D47semidirect
368. #544C2×D47semidirect
370. C2×C4⋊Q8C2×D47semidirect
372. C2×#125C2×D47semidirect
417. C47#60493semidirect

Maximal subgroups

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

subgroupindex
#202565892
#202532462
#202532352
#202532242
#202532132
#202532062
#202531972
#202519772
C2×#156891632
#202519522
#202519052
C2×#156891222
C2×C47×#5442
#6049347