Finite Group Databasebeta

← #11662147

Subgroups — #11662147

Order 768.

2890 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
2#87268C211yesmaximal, characteristic, complemented
3C2×#5798C211yesmaximal, characteristic, complemented
4C22×#932C211yesmaximal, characteristic, complemented
5#84072C211yesmaximal, characteristic, complemented
6#83935C214yesmaximal, complemented
7#83934C214yesmaximal, complemented
8#83931C218yesmaximal, complemented
9#83848C214yesmaximal, complemented
10#83826C214yesmaximal, complemented
11#83768C211yesmaximal, characteristic, complemented
12#83750C211yesmaximal, characteristic, complemented
13#60423—31nomaximal, Sylow
14C22×C3×#41C2211yescharacteristic
15C23×C3×D4C2211yescharacteristic
16C22×#235C2211yescharacteristic
17C2×C3×AGL(1,ℤ/8)—28no—
18C2×C3×AGL(1,ℤ/8)C2214yes—
19C2×C3×AGL(1,ℤ/8)C2214yescomplemented
20C22×C3×SD16C2212yescomplemented
21C22×C3×D8C2212yescomplemented
22C22×C3×M16C2211yescharacteristic
23C22×#217—22no—
24#5833—22no—
25#5832C2214yescomplemented
26#5830C2212yescomplemented
27#5828—22no—
28#5825C2212yescomplemented
29#5816C2212yescomplemented
30#5805C2212yescomplemented
31#5804—22no—
32#5798—22no—
33#5798—22no—
34#5798C2214yescomplemented
35#5798C2214yescomplemented
36C2×D4×Dic3—22no—
37C2×D4×Dic3C2214yescomplemented
38C22×#214C2212yescomplemented
39C2×#932—28no—
40C2×#932C2214yes—
41C2×#932C2214yescomplemented
42C22×#213C2212yescomplemented
43#5791—22no—
44C2×#926C2211yescharacteristic
45C2×#926C2211yescharacteristic
46C22×#208C2211yescharacteristic
47#5233C2214yescomplemented
48#5232C2214yescomplemented
49#5225C2212yescomplemented
50#5215C2212yescomplemented
51#5165C22116yescomplemented
52#5162C22116yescomplemented
53#5153C22116yescomplemented
54#5150C22116yescomplemented
55#5133C2214yescomplemented
56#5131C2212yescomplemented
57#5120C2212yescomplemented
58#5119C2214yescomplemented
59#5118C2214yescomplemented
60#5113C2214yescomplemented
61#5102C2214yescomplemented
62C22×AGL(1,ℤ/8)—31no—
63C22×AGL(1,ℤ/8)D311yescharacteristic, complemented
64#3449—31no—
65C2×#518—31no—
66#3042—34no—
67#3042—34no—
68#3041—34no—
69#3041—34no—
70#3036—38no—
71#2905—31no—
72#2896—31no—
73#2896—31no—
74C25×C3—21no—
75C2×C3×#41—21no—
76C2×C3×#41—21no—
77C2×C3×#41—24no—
78C2×C3×#41—24no—
79C2×C3×#41C2312yes—
80C2×C3×#41C2312yes—
81C22×C3×Q8C2311yescharacteristic
82C22×C3×D4—21no—
83C22×C3×D4—21no—
84C22×C3×D4—21no—
85C22×C3×D4—21no—
86C22×C3×D4—24no—
87C22×C3×D4D418yescomplemented
88C22×C3×D4C2311yescharacteristic
89C22×C3×D4C2312yes—
90C22×C3×D4C2312yes—
91C22×C3×D4C2312yes—
92C23×C3×C4—21no—
93C23×C3×C4C2311yescharacteristic
94C22×#67—21no—
95C23×Dic3—24no—
96C2×#235—21no—
97C2×#235—21no—
98C2×#235—24no—
99C2×#235—24no—
100C2×#235C2312yes—
101C2×#235C2312yes—
102C22×D12C2311yescharacteristic
103C22×C4×D3—21no—
104C22×Dic6C2311yescharacteristic
105C3×AGL(1,ℤ/8)—216no—
106C3×AGL(1,ℤ/8)—216no—
107C2×C3×SD16—28no—
108C2×C3×SD16C2318yes—
109C2×C3×D8—28no—
110C2×C3×D8C2318yes—
111C2×C3×M16—24no—
112C2×C3×M16C2312yes—
113C2×C3×M16C2312yes—
114C22×C3×C8C2312yes—
115#953—24no—
116C2×#217—21no—
117C2×#217—24no—
118C2×#217—28no—
119C2×#217—28no—
120C2×#217D412yes—
121#947C2314yescomplemented
122#946—24no—
123#944C2314yescomplemented
124#940C2314yescomplemented
125#939—28no—
126#938—24no—
127#937—24no—
128#936C2314yescomplemented
129#935—24no—
130D4×Dic3—28no—
131D4×Dic3—28no—
132D4×Dic3—28no—
133D4×Dic3C23116yes—
134C2×#214—28no—
135C2×#214C2318yes—
136#932—216no—
137#932—216no—
138C2×#213—28no—
139C2×#213C2318yes—
140#930—24no—
141#929—24no—
142C4×#67—28no—
143#926—21no—
144#926—21no—
145#926D412yes—
146#926D412yes—
147#926C2312yes—
148#926C2312yes—
149#926C2312yes—
150#926C2312yes—
151C2×C4⋊Dic3D412yes—
152C2×C4⋊Dic3C2312yes—
153#924—24no—
154C2×C4×Dic3—21no—
155C2×C4×Dic3C2312yes—
156C2×#208—24no—
157C2×#208C2312yes—
158C2×#208C2312yes—
159C22×C3⋊C8C2312yes—
160#835C2318yescomplemented
161#832C2318yescomplemented
162#821C2318yescomplemented
163#816C2318yescomplemented
164Dic3⋊C8C23116yescomplemented
165C22×#41—31no—
166C22×#41C2×D311yescharacteristic
167C23×D4C2×D311yescharacteristic
168C2×AGL(1,ℤ/8)—28no—
169C2×AGL(1,ℤ/8)—34no—
170C2×AGL(1,ℤ/8)—34no—
171C2×AGL(1,ℤ/8)—68no—
172C2×AGL(1,ℤ/8)C2×D314yes—
173C2×AGL(1,ℤ/8)C2×D314yescomplemented
174C22×SD16—32no—
175C22×SD16C2×D312yescomplemented
176C22×D8—32no—
177C22×D8C2×D312yescomplemented
178C22×M16—31no—
179C22×M16C2×D311yescharacteristic
180#537—62no—
181#536—32no—
182#536—32no—
183#535—32no—
184#535—32no—
185#534—62no—
186#532—34no—
187#525—62no—
188#525—62no—
189#518—34no—
190#518—34no—
191#518—62no—
192#518—62no—
193C2×C4×D4—34no—
194C2×C4×D4—62no—
195C2×#117—31no—
196C2×#117—31no—
197C22×C22⋊C4—62no—
198#463—316no—
199#463—316no—
200#461—316no—
201#459—316no—
202#424—34no—
203#424—34no—
204#423—34no—
205#419—32no—
206#419—32no—
207#418—32no—
208#418—32no—
209#417—34no—
210#417—34no—
211#416—34no—
212#416—34no—
213C24×C3—22no—
214C24×C3—28no—
215C24×C3—22no—
216C24×C3—22no—
217C24×C3—21no—
218C24×C3—84no—
219C24×C3C2×D411yescharacteristic
220C23×D3—21no—
221C3×#41—24no—
222C3×#41—24no—
223C3×#41—24no—
224C3×#41—24no—
225C3×#41—44no—
226C3×#41—44no—
227C2×C3×Q8—21no—
228C2×C3×Q8—22no—
229C2×C3×Q8—22no—
230C2×C3×Q8C2412yes—
231C2×C3×D4—22no—
232C2×C3×D4—22no—
233C2×C3×D4—28no—
234C2×C3×D4—28no—
235C2×C3×D4—28no—
236C2×C3×D4—22no—
237C2×C3×D4—22no—
238C2×C3×D4—22no—
239C2×C3×D4—22no—
240C2×C3×D4—21no—
241C2×C3×D4—24no—
242C2×C3×D4—24no—
243C2×C3×D4—24no—
244C2×C3×D4—22no—
245C2×C3×D4—44no—
246C2×C3×D4C2×D418yes—
247C2×C3×D4C2×D418yes—
248C2×C3×D4C2×D418yes—
249C2×C3×D4C2412yes—
250C2×C3×D4C2414yes—
251C22×C3×C4—21no—
252C22×C3×C4—22no—
253C22×C3×C4—22no—
254C22×C3×C4—44no—
255C22×C3×C4C2×D411yescharacteristic
256C22×C3×C4C2×D411yescharacteristic
257C22×C3×C4C2×D411yescharacteristic
258C22×C3×C4C2×D414yes—
259C22×C3×C4#4114yes—
260C22×C3×C4C2411yescharacteristic
261C22×C3×C4C2411yescharacteristic
262C22×C3×C4C2411yescharacteristic
263C2×#67—22no—
264C2×#67—22no—
265C2×#67—28no—
266C2×#67—44no—
267C22×Dic3—22no—
268C22×Dic3—21no—
269C22×Dic3—216no—
270C22×Dic3—88no—
271C22×Dic3C2×D414yes—
272#235—24no—
273#235—24no—
274#235—24no—
275#235—24no—
276#235—44no—
277#235—44no—
278C2×D12—22no—
279C2×D12—22no—
280C2×D12—21no—
281C2×D12C2412yes—
282C2×C4×D3—22no—
283C2×C4×D3—22no—
284C2×C4×D3—44no—
285C2×Dic6—22no—
286C2×Dic6—22no—
287C2×Dic6—21no—
288C2×Dic6C2412yes—
289C3×SD16—216no—
290C3×D8—216no—
291C3×M16—24no—
292C3×M16—24no—
293C2×C3×C8—24no—
294C2×C3×C8C2414yes—
295#217—22no—
296#217—22no—
297#217—28no—
298#217—216no—
299#217C2×D414yes—
300#217C2×D414yes—
301#214—216no—
302#213—216no—
303(C2×D3)⋊C4—28no—
304C4⋊Dic3—22no—
305C4⋊Dic3C2×D414yes—
306C4⋊Dic3C2×D414yes—
307C4⋊Dic3C2414yes—
308Dic3⋊C4—28no—
309C4×Dic3—22no—
310C4×Dic3—22no—
311C4×Dic3C2×D414yes—
312C4×Dic3C2414yes—
313#208—24no—
314#208—24no—
315C2×C3⋊C8—24no—
316C2×C3⋊C8C2414yes—
317C25—21no—
318C2×#41—21no—
319C2×#41—21no—
320C2×#41—24no—
321C2×#41—24no—
322C2×#41—32no—
323C2×#41—32no—
324C2×#41—61no—
325C2×#41—61no—
326C2×#41—64no—
327C2×#41—64no—
328C2×#41C22×D312yes—
329C2×#41C22×D312yes—
330C22×Q8—31no—
331C22×Q8C22×D311yescharacteristic
332C22×D4—21no—
333C22×D4—21no—
334C22×D4—21no—
335C22×D4—21no—
336C22×D4—24no—
337C22×D4—31no—
338C22×D4—61no—
339C22×D4#6718yescomplemented
340C22×D4C22×D311yescharacteristic
341C22×D4C22×D312yes—
342C22×D4C22×D312yes—
343C22×D4C22×D312yes—
344C23×C4—21no—
345C23×C4—64no—
346C23×C4—61no—
347C23×C4C22×D311yescharacteristic
348AGL(1,ℤ/8)—216no—
349AGL(1,ℤ/8)—216no—
350AGL(1,ℤ/8)—616no—
351AGL(1,ℤ/8)—616no—
352C2×SD16—28no—
353C2×SD16—38no—
354C2×SD16—68no—
355C2×SD16C22×D318yes—
356C2×D8—28no—
357C2×D8—38no—
358C2×D8—68no—
359C2×D8C22×D318yes—
360C2×M16—24no—
361C2×M16—32no—
362C2×M16—32no—
363C2×M16—64no—
364C2×M16C22×D312yes—
365C2×M16C22×D312yes—
366C22×C8—32no—
367C22×C8C22×D312yes—
368C4⋊Q8—34no—
369#127—34no—
370#124—34no—
371#124—34no—
372#123—64no—
373#123—64no—
374C22⋊Q8—64no—
375C22⋊Q8—64no—
376#121—64no—
377#121—64no—
378#121—68no—
379#120—64no—
380#120—64no—
381C4×D4—316no—
382C4×D4—68no—
383C4×D4—68no—
384C4×D4—68no—
385C4×D4—68no—
386#117—32no—
387#117—32no—
388#117—32no—
389#117—32no—
390#117—32no—
391#117—32no—
392#117—61no—
393#117—61no—
394C2×C4⋊C4—32no—
395C2×C4⋊C4—32no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—68no—
398C2×C22⋊C4—68no—
399C2×C22⋊C4—64no—
400C2×C22⋊C4—61no—
401C2×C42—32no—
402C2×C42—61no—
403C4⋊C8—316no—
404#103—38no—
405#103—38no—
406#102—38no—
407#102—38no—
408C23×C3—28no—
409C23×C3—24no—
410C23×C3—28no—
411C23×C3—28no—
412C23×C3—22no—
413C23×C3—42no—
414C23×C3—48no—
415C23×C3—42no—
416C23×C3—82no—
417C23×C3—84no—
418C23×C3—84no—
419C23×C3—816no—
420C23×C3#12114yes—
421C23×C3C22×D411yescharacteristic
422C23×C3C22×D411yescharacteristic
423C23×C3C22×D411yescharacteristic
424C22×D3—22no—
425C22×D3—42no—
426C22×D3—82no—
427C3×Q8—22no—
428C3×Q8—22no—
429C3×Q8—42no—
430C3×D4—28no—
431C3×D4—28no—
432C3×D4—28no—
433C3×D4—22no—
434C3×D4—24no—
435C3×D4—22no—
436C3×D4—44no—
437C3×D4—44no—
438C3×D4—42no—
439C3×D4C22×D418yes—
440C2×C3×C4—22no—
441C2×C3×C4—42no—
442C2×C3×C4—44no—
443C2×C3×C4—44no—
444C2×C3×C4#12114yes—
445C2×C3×C4#12114yes—
446C2×C3×C4#12114yes—
447C2×C3×C4C22×D411yescharacteristic
448C2×C3×C4C22×D411yescharacteristic
449C2×C3×C4C22×D411yescharacteristic
450C2×C3×C4C22×D412yes—
451C2×C3×C4C22×D412yes—
452C2×C3×C4C22×D412yes—
453C2×C3×C4C2×#4112yes—
454C2×C3×C4C2×#4112yes—
455C2×C3×C4C2×#4112yes—
456C2×C3×C4C2511yescharacteristic
457#67—44no—
458#67—44no—
459#67—88no—
460C2×Dic3—24no—
461C2×Dic3—22no—
462C2×Dic3—44no—
463C2×Dic3—44no—
464C2×Dic3—42no—
465C2×Dic3—816no—
466C2×Dic3C22×D418yes—
467D12—22no—
468D12—22no—
469D12—42no—
470C4×D3—44no—
471C4×D3—44no—
472Dic6—22no—
473Dic6—22no—
474Dic6—42no—
475C3×C8—24no—
476C3⋊C8—24no—
477C24—22no—
478C24—28no—
479C24—22no—
480C24—22no—
481C24—21no—
482C24—61no—
483C24—84no—
484C24D3×D411yescharacteristic
485#41—24no—
486#41—24no—
487#41—24no—
488#41—24no—
489#41—44no—
490#41—44no—
491#41—64no—
492#41—64no—
493#41—64no—
494#41—64no—
495#41—124no—
496#41—124no—
497C2×Q8—21no—
498C2×Q8—22no—
499C2×Q8—22no—
500C2×Q8—32no—
501C2×Q8—61no—
502C2×Q8—62no—
503C2×Q8—62no—
504C2×Q8C23×D312yes—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—28no—
508C2×D4—28no—
509C2×D4—28no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—21no—
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—32no—
520C2×D4—44no—
521C2×D4—68no—
522C2×D4—62no—
523C2×D4—62no—
524C2×D4—61no—
525C2×D4—62no—
526C2×D4—62no—
527C2×D4—124no—
528C2×D4C2×#6718yes—
529C2×D4C2×#6718yes—
530C2×D4C2×#6718yes—
531C2×D4C23×D312yes—
532C2×D4C23×D314yes—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—34no—
537C22×C4—44no—
538C22×C4—616no—
539C22×C4—62no—
540C22×C4—61no—
541C22×C4—62no—
542C22×C4—62no—
543C22×C4—124no—
544C22×C4—248no—
545C22×C4D3×D411yescharacteristic
546C22×C4D3×D411yescharacteristic
547C22×C4D3×D411yescharacteristic
548C22×C4#23714yes—
549C22×C4C2×#6714yes—
550C22×C4C23×D311yescharacteristic
551C22×C4C23×D311yescharacteristic
552C22×C4C23×D311yescharacteristic
553SD16—216no—
554SD16—616no—
555D8—216no—
556D8—616no—
557M16—24no—
558M16—24no—
559M16—64no—
560M16—64no—
561C2×C8—24no—
562C2×C8—34no—
563C2×C8—64no—
564C2×C8C23×D314yes—
565C4⋊C4—34no—
566C4⋊C4—34no—
567C4⋊C4—34no—
568C4⋊C4—68no—
569C4⋊C4—62no—
570C22⋊C4—34no—
571C22⋊C4—34no—
572C22⋊C4—68no—
573C22⋊C4—616no—
574C22⋊C4—68no—
575C22⋊C4—62no—
576C22⋊C4—62no—
577C42—34no—
578C42—34no—
579C42—62no—
580C42—62no—
581C22×C3—22no—
582C22×C3—22no—
583C22×C3—22no—
584C22×C3—28no—
585C22×C3—44no—
586C22×C3—416no—
587C22×C3—48no—
588C22×C3—44no—
589C22×C3—42no—
590C22×C3—88no—
591C22×C3—88no—
592C22×C3—84no—
593C22×C3C2×#12112yes—
594C22×C3C2×#12112yes—
595C22×C3C2×#12112yes—
596C22×C3C23×D411yescharacteristic
597C2×D3—44no—
598C2×D3—42no—
599C2×D3—84no—
600C3×C4—42no—
601C3×C4C2×#12112yes—
602C3×C4C2×#12112yes—
603C3×C4C2×#12112yes—
604C3×C4C23×D411yescharacteristic
605C3×C4C22×#4111yescharacteristic
606Dic3—28no—
607Dic3—44no—
608Dic3—42no—
609C23—24no—
610C23—28no—
611C23—28no—
612C23—28no—
613C23—22no—
614C23—42no—
615C23—48no—
616C23—42no—
617C23—62no—
618C23—84no—
619C23—84no—
620C23—82no—
621C23—816no—
622C23—122no—
623C23—242no—
624C23#93914yes—
625C23C2×D3×D411yescharacteristic
626C23C2×D3×D411yescharacteristic
627C23C2×D3×D411yescharacteristic
628Q8—22no—
629Q8—22no—
630Q8—42no—
631Q8—62no—
632Q8—62no—
633Q8—122no—
634D4—24no—
635D4—22no—
636D4—22no—
637D4—28no—
638D4—28no—
639D4—28no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—62no—
644D4—62no—
645D4—124no—
646D4—124no—
647D4—122no—
648D4—248no—
649D4C22×#6718yes—
650C2×C4—22no—
651C2×C4—38no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—64no—
656C2×C4—62no—
657C2×C4—124no—
658C2×C4—124no—
659C2×C4—122no—
660C2×C4—124no—
661C2×C4—124no—
662C2×C4—2416no—
663C2×C4#93914yes—
664C2×C4#93914yes—
665C2×C4#93914yes—
666C2×C4C2×D3×D411yescharacteristic
667C2×C4C2×D3×D411yescharacteristic
668C2×C4C2×D3×D411yescharacteristic
669C2×C4C2×#23712yes—
670C2×C4C2×#23712yes—
671C2×C4C2×#23712yes—
672C2×C4C22×#6712yes—
673C2×C4C22×#6712yes—
674C2×C4C22×#6712yes—
675C2×C4C24×D311yescharacteristic
676C8—24no—
677C8—64no—
678C2×C3—22no—
679C2×C3—22no—
680C2×C3—22no—
681C2×C3—48no—
682C2×C3—82no—
683C2×C3C22×#12111yescharacteristic
684C2×C3#358512yes—
685D3—82no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—28no—
690C22—44no—
691C22—416no—
692C22—48no—
693C22—44no—
694C22—42no—
695C22—88no—
696C22—88no—
697C22—84no—
698C22—124no—
699C22—122no—
700C22—244no—
701C22C2×#93912yes—
702C22C2×#93912yes—
703C22C2×#93912yes—
704C22C22×D3×D411yescharacteristic
705C4—42no—
706C4—68no—
707C4—124no—
708C4—122no—
709C4C2×#93912yes—
710C4C2×#93912yes—
711C4C2×#93912yes—
712C4C22×#23711yescharacteristic
713C4C23×#6711yescharacteristic
714C3#6042311yescharacteristic, complemented, Sylow
715C2—22no—
716C2—22no—
717C2—22no—
718C2—48no—
719C2—82no—
720C2—242no—
721C2#8719212yes—
722C2C22×#93911yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC22×C3×AGL(1,ℤ/8)C2
socleC22×C3C23×D4
hypercenterC22×AGL(1,ℤ/8)D3
hypocenterC3#60423
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C22×C3×AGL(1,ℤ/8)C2semidirect
2. #87268C2semidirect
3. C2×#5798C2semidirect
4. C22×#932C2semidirect
5. #84072C2semidirect
6. #83935C2semidirect
7. #83934C2semidirect
8. #83931C2semidirect
9. #83848C2semidirect
10. #83826C2semidirect
11. #83768C2semidirect
12. #83750C2semidirect
19. C2×C3×AGL(1,ℤ/8)C22semidirect
20. C22×C3×SD16C22semidirect
21. C22×C3×D8C22semidirect
25. #5832C22semidirect
26. #5830C22semidirect
28. #5825C22semidirect
29. #5816C22semidirect
30. #5805C22semidirect
34. #5798C22semidirect
35. #5798C22semidirect
37. C2×D4×Dic3C22semidirect
38. C22×#214C22semidirect
41. C2×#932C22semidirect
42. C22×#213C22semidirect
47. #5233C22semidirect
48. #5232C22semidirect
49. #5225C22semidirect
50. #5215C22semidirect
51. #5165C22semidirect
52. #5162C22semidirect
53. #5153C22semidirect
54. #5150C22semidirect
55. #5133C22semidirect
56. #5131C22semidirect
57. #5120C22semidirect
58. #5119C22semidirect
59. #5118C22semidirect
60. #5113C22semidirect
61. #5102C22semidirect
63. C22×AGL(1,ℤ/8)D3semidirect
87. C22×C3×D4D4semidirect
121. #947C23semidirect
123. #944C23semidirect
124. #940C23semidirect
128. #936C23semidirect
160. #835C23semidirect
161. #832C23semidirect
162. #821C23semidirect
163. #816C23semidirect
164. Dic3⋊C8C23semidirect
173. C2×AGL(1,ℤ/8)C2×D3semidirect
175. C22×SD16C2×D3semidirect
177. C22×D8C2×D3semidirect
339. C22×D4#67semidirect
714. C3#60423semidirect

Maximal subgroups

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

subgroupindex
C22×C3×AGL(1,ℤ/8)2
#872682
C2×#57982
C22×#9322
#840722
#839352
#839342
#839312
#838482
#838262
#837682
#837502
#604233