Finite Group Databasebeta

← #6632010

Subgroups — #6632010

Order 512.

3239 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35102C211yesmaximal, characteristic, complemented
2C2×#2408C211yesmaximal, characteristic, complemented
3#32881C211yesmaximal, characteristic, complemented
4#32878C211yesmaximal, characteristic, complemented
5#31266C214yesmaximal, complemented
6#30501C214yesmaximal, complemented
7#30408C214yesmaximal, complemented
8#30400C214yesmaximal, complemented
9#29895C211yesmaximal, characteristic, complemented
10#29892C211yesmaximal, characteristic, complemented
11#27588C212yesmaximal, complemented
12#24379C212yesmaximal, complemented
13#24378C212yesmaximal, complemented
14#23936C212yesmaximal, complemented
15#21738C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C2×#529C2211yescharacteristic, complemented
18C22×#121C2212yes—
19C22×#120—21no—
20C22×C4×D4C2211yescharacteristic
21C2×#466C2214yescomplemented
22C2×#465C2214yescomplemented
23C2×#450C2212yes—
24C2×#450C2214yescomplemented
25C2×#447C2212yes—
26C2×#447C2214yescomplemented
27C22×C22⋊C8C2212yescomplemented
28#2848C2211yescharacteristic
29#2848C2211yescharacteristic, complemented
30#2847C2211yescharacteristic
31#2847C2211yescharacteristic, complemented
32#2623—21no—
33#2613—21no—
34#2603—22no—
35#2598—22no—
36#2562C2212yescomplemented
37#2540C2212yescomplemented
38#2536C2212yescomplemented
39#2535C2212yescomplemented
40#2408—22no—
41#2408—22no—
42#2408C2214yes—
43#2408C2214yes—
44C2×#394—21no—
45C2×#392—21no—
46#2321—21no—
47#2321—21no—
48C2×#390C2212yes—
49#2283C2211yescharacteristic, complemented
50C2×#380C2211yescharacteristic
51C2×#379—21no—
52#2092C2214yescomplemented
53#2077C2214yescomplemented
54#2076C2214yescomplemented
55#2073C2214yescomplemented
56#2036C2214yescomplemented
57#2034C2214yescomplemented
58#2034C2214yescomplemented
59#2033C2214yescomplemented
60#2025C2214yescomplemented
61#2012C2214yescomplemented
62#2000C2214yescomplemented
63#1999C2214yescomplemented
64#1926C2214yescomplemented
65#1925C2214yescomplemented
66#1893C2214yescomplemented
67#1893C2214yescomplemented
68#1880C2214yescomplemented
69#1879C2214yescomplemented
70#1874C2212yescomplemented
71#1872C2212yescomplemented
72#1869C2214yescomplemented
73#1869C2214yescomplemented
74#1853C2212yescomplemented
75#1852C2212yescomplemented
76#1817C2212yescomplemented
77#1786C2212yes—
78#1786C2212yes—
79#1786C2214yescomplemented
80#1786C2214yescomplemented
81#1779C2211yescharacteristic
82#1779C2211yescharacteristic
83C26—21no—
84C23×D4—22no—
85C23×D4—21no—
86C23×D4—22no—
87C23×D4—44no—
88C23×D4—48no—
89C23×D4D411yescharacteristic
90C23×D4C2312yes—
91C23×D4C2314yes—
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C22×SD16C2314yes—
95C22×D8C2314yes—
96C23×C8C2314yescomplemented
97#529—44no—
98C2×#126—21no—
99C2×#125C2311yescharacteristic, complemented
100C2×#124C2311yescharacteristic, complemented
101C2×#123—21no—
102C2×C22⋊Q8C2311yescharacteristic
103C2×C22⋊Q8C2312yes—
104C2×C22⋊Q8C2312yescomplemented
105C2×#121—22no—
106C2×#121—22no—
107C2×#121—48no—
108C2×#121C2311yescharacteristic
109C2×#121C2314yes—
110C2×#121C2314yes—
111C2×#121C2312yes—
112C2×#121C2312yescomplemented
113C2×#120—21no—
114C2×#120—21no—
115C2×#120—24no—
116C2×#120—24no—
117C2×#120—48no—
118C2×C4×Q8C2311yescharacteristic, complemented
119C2×C4×D4—21no—
120C2×C4×D4—44no—
121C2×C4×D4D412yes—
122C2×C4×D4D412yes—
123C2×C4×D4C2312yes—
124C2×C4×D4C2312yes—
125C2×C4×D4C2311yescharacteristic, complemented
126C2×#117—21no—
127C22×C4⋊C4D411yescharacteristic
128C22×C4⋊C4C2312yes—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—22no—
131C22×C22⋊C4—22no—
132C22×C22⋊C4—22no—
133C22×C22⋊C4D411yescharacteristic
134C22×C22⋊C4D411yescharacteristic
135C22×C42C2311yescharacteristic
136#466—48no—
137#465—48no—
138#450—44no—
139#450—48no—
140#447—44no—
141#447—48no—
142C2×#107C2314yescomplemented
143C2×#106C2314yescomplemented
144C2×#103C2314yescomplemented
145C2×#102C2314yes—
146C2×#102C2314yes—
147C2×#102C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yescomplemented
152C2×C22⋊C8—44no—
153C2×C22⋊C8C2312yes—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2314yes—
156C2×C22⋊C8C2314yes—
157C2×C22⋊C8C2314yescomplemented
158#400—22no—
159#399—22no—
160#398—22no—
161#397—22no—
162#394—22no—
163#394—22no—
164#394—24no—
165#394—24no—
166#392—22no—
167#392—22no—
168#392—24no—
169#392—24no—
170#390—22no—
171#390—22no—
172#390—22no—
173#390—22no—
174#390C2314yes—
175#390C2314yes—
176#388—22no—
177#388—22no—
178#388—22no—
179#388—22no—
180#386—21no—
181#386—21no—
182#386—22no—
183#386—22no—
184#386—22no—
185#386—22no—
186#385—21no—
187#385—21no—
188#385—22no—
189#385—22no—
190#383—21no—
191#382C2312yescomplemented
192#381—21no—
193#380—22no—
194#380C2312yes—
195#380C2312yes—
196#380C2314yes—
197#380C2311yescharacteristic
198#380C2311yescharacteristic
199#380C2312yescomplemented
200#380C2312yescomplemented
201#379—21no—
202#379—21no—
203#379—24no—
204#379—24no—
205C4×C4⋊C4C2312yescomplemented
206C4×C22⋊C4—21no—
207#376—21no—
208C2×#95—21no—
209#340C2314yescomplemented
210#340C2314yescomplemented
211#340C2314yescomplemented
212#340C2314yescomplemented
213#336C2314yescomplemented
214#336C2314yescomplemented
215C25—22no—
216C25—24no—
217C25—44no—
218C25—48no—
219C25—44no—
220C25—44no—
221C25—84no—
222C25C2×D411yescharacteristic
223C25C2×D411yescharacteristic
224C22×Q8C2411yescharacteristic
225C22×D4—24no—
226C22×D4—24no—
227C22×D4—28no—
228C22×D4—28no—
229C22×D4—28no—
230C22×D4—21no—
231C22×D4—24no—
232C22×D4—24no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—24no—
237C22×D4—24no—
238C22×D4—24no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—44no—
243C22×D4—44no—
244C22×D4—42no—
245C22×D4—44no—
246C22×D4—48no—
247C22×D4—48no—
248C22×D4—48no—
249C22×D4—48no—
250C22×D4—464no—
251C22×D4—48no—
252C22×D4—48no—
253C22×D4—84no—
254C22×D4C2×D412yes—
255C22×D4C2×D412yes—
256C22×D4C2411yescharacteristic
257C22×D4C2414yes—
258C23×C4—24no—
259C23×C4—24no—
260C23×C4—22no—
261C23×C4—21no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D412yes—
269C23×C4C2×D412yes—
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×SD16—28no—
274C2×SD16—44no—
275C2×SD16—44no—
276C2×D8—28no—
277C2×D8—44no—
278C2×D8—44no—
279C22×C8—44no—
280C22×C8—44no—
281C22×C8—44no—
282C22×C8C2414yes—
283C22×C8C2414yes—
284#126—44no—
285#125—42no—
286#124—42no—
287#123—44no—
288C22⋊Q8—24no—
289C22⋊Q8—44no—
290C22⋊Q8—44no—
291#121—28no—
292#121—28no—
293#121—24no—
294#121—44no—
295#121—44no—
296#121—48no—
297#121—48no—
298#121—44no—
299#121—44no—
300#120—416no—
301#120—416no—
302#120—44no—
303#120—44no—
304C4×Q8—42no—
305C4×D4—42no—
306C4×D4—44no—
307C4×D4—44no—
308C4×D4—42no—
309C4×D4—42no—
310C4×D4—42no—
311C4×D4—42no—
312C4×D4—44no—
313#117—44no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—42no—
323C2×C4⋊C4C2×D412yes—
324C2×C4⋊C4C2×D412yes—
325C2×C4⋊C4C2414yes—
326C2×C4⋊C4C2411yescharacteristic
327C2×C4⋊C4C2411yescharacteristic
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—21no—
332C2×C22⋊C4—21no—
333C2×C22⋊C4—21no—
334C2×C22⋊C4—22no—
335C2×C22⋊C4—22no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—21no—
342C2×C22⋊C4—21no—
343C2×C22⋊C4—21no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—42no—
353C2×C22⋊C4—42no—
354C2×C22⋊C4—48no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—48no—
357C2×C22⋊C4—84no—
358C2×C22⋊C4C2×D412yes—
359C2×C22⋊C4C2×D412yes—
360C2×C22⋊C4C2×D412yes—
361C2×C22⋊C4C2×D412yes—
362C2×C42—24no—
363C2×C42—21no—
364C2×C42—22no—
365C2×C42C2×D411yescharacteristic
366C2×C42C2×D411yescharacteristic
367C2×C42C2411yescharacteristic
368C2×C42C2411yescharacteristic
369#107—44no—
370#106—44no—
371#103—44no—
372#102—28no—
373#102—28no—
374#102—44no—
375#102—44no—
376#102—44no—
377#102—44no—
378#102—44no—
379C22⋊C8—24no—
380C22⋊C8—24no—
381C22⋊C8—44no—
382C22⋊C8—44no—
383C22⋊C8—44no—
384#95—24no—
385#95—21no—
386#95—21no—
387#95—22no—
388#95—22no—
389#95—22no—
390#95—22no—
391#95—22no—
392#95—22no—
393#95—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—28no—
399C24—24no—
400C24—21no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—48no—
406C24—48no—
407C24—44no—
408C24—44no—
409C24—48no—
410C24—44no—
411C24—48no—
412C24—432no—
413C24—44no—
414C24—44no—
415C24—44no—
416C24—48no—
417C24—84no—
418C24—84no—
419C24—816no—
420C24—832no—
421C24—832no—
422C24—816no—
423C24#13514yes—
424C24AGL(1,ℤ/8)14yes—
425C24C22×D412yes—
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428C2×Q8—24no—
429C2×Q8—22no—
430C2×D4—28no—
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—24no—
436C2×D4—24no—
437C2×D4—24no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—22no—
442C2×D4—416no—
443C2×D4—416no—
444C2×D4—42no—
445C2×D4—42no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—44no—
449C2×D4—48no—
450C2×D4—416no—
451C2×D4—416no—
452C2×D4—416no—
453C2×D4—416no—
454C2×D4—464no—
455C2×D4—432no—
456C2×D4—416no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—84no—
468C2×D4—84no—
469C2×D4—82no—
470C2×D4—82no—
471C2×D4—82no—
472C2×D4—82no—
473C2×D4—832no—
474C2×D4H(5,𝔽2)18yes—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—24no—
497C22×C4—21no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—416no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—88no—
511C22×C4—82no—
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D412yes—
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4H(5,𝔽2)14yes—
520C22×C4C2511yescharacteristic
521SD16—88no—
522D8—88no—
523C2×C8—24no—
524C2×C8—24no—
525C2×C8—24no—
526C2×C8—24no—
527C2×C8—24no—
528C2×C8—24no—
529C2×C8—88no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—44no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—82no—
544C4⋊C4—82no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—48no—
557C22⋊C4—42no—
558C22⋊C4—44no—
559C22⋊C4—42no—
560C22⋊C4—44no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—84no—
564C22⋊C4—84no—
565C22⋊C4—82no—
566C22⋊C4—82no—
567C22⋊C4—82no—
568C22⋊C4—82no—
569C22⋊C4—82no—
570C22⋊C4—82no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—22no—
575C42—42no—
576C42—82no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—28no—
593C23—28no—
594C23—48no—
595C23—48no—
596C23—44no—
597C23—44no—
598C23—48no—
599C23—416no—
600C23—416no—
601C23—416no—
602C23—432no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—42no—
610C23—41no—
611C23—42no—
612C23—41no—
613C23—41no—
614C23—82no—
615C23—82no—
616C23—84no—
617C23—816no—
618C23—816no—
619C23—88no—
620C23—88no—
621C23—88no—
622C23—816no—
623C23—816no—
624C23—816no—
625C23—8128no—
626C23—816no—
627C23—88no—
628C23#53412yes—
629C23C2×#13514yes—
630C23C2×#13512yes—
631C23C2×AGL(1,ℤ/8)14yes—
632C23C2×AGL(1,ℤ/8)12yes—
633C23C23×D411yescharacteristic
634Q8—44no—
635D4—28no—
636D4—28no—
637D4—416no—
638D4—48no—
639D4—48no—
640D4—432no—
641D4—44no—
642D4—44no—
643D4—44no—
644D4—816no—
645D4—816no—
646D4—84no—
647D4—164no—
648D4—164no—
649C2×C4—22no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—48no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—84no—
691C2×C4—82no—
692C2×C4—82no—
693C2×C4—84no—
694C2×C4—88no—
695C2×C4#53412yes—
696C2×C4C2×H(5,𝔽2)12yes—
697C2×C4C2×H(5,𝔽2)14yes—
698C8—44no—
699C8—44no—
700C22—22no—
701C22—22no—
702C22—24no—
703C22—24no—
704C22—24no—
705C22—24no—
706C22—24no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—416no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—48no—
720C22—48no—
721C22—48no—
722C22—88no—
723C22—832no—
724C22—864no—
725C22—84no—
726C22—84no—
727C22—84no—
728C22—84no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—82no—
733C22—82no—
734C22#318814yes—
735C22C2×#53411yescharacteristic
736C22#348412yes—
737C22C22×#13511yescharacteristic
738C22C22×AGL(1,ℤ/8)11yescharacteristic
739C22#358512yes—
740C4—22no—
741C4—41no—
742C4—41no—
743C4—41no—
744C4—41no—
745C4—42no—
746C4—42no—
747C4—81no—
748C4—81no—
749C4—81no—
750C4—82no—
751C4—84no—
752C4—82no—
753C4#353214yes—
754C2—24no—
755C2—44no—
756C2—44no—
757C2—88no—
758C2—161no—
759C2#3670211yescharacteristic
760C2C2×#318811yescharacteristic
761C2#6075311yescharacteristic
762C2#6156112yes—
763C2#6157112yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35102C2semidirect
2. C2×#2408C2semidirect
3. #32881C2semidirect
4. #32878C2semidirect
5. #31266C2semidirect
6. #30501C2semidirect
7. #30408C2semidirect
8. #30400C2semidirect
9. #29895C2semidirect
10. #29892C2semidirect
11. #27588C2semidirect
12. #24379C2semidirect
13. #24378C2semidirect
14. #23936C2semidirect
15. #21738C2semidirect
17. C2×#529C22semidirect
21. C2×#466C22semidirect
22. C2×#465C22semidirect
24. C2×#450C22semidirect
26. C2×#447C22semidirect
27. C22×C22⋊C8C22semidirect
29. #2848C22semidirect
31. #2847C22semidirect
36. #2562C22semidirect
37. #2540C22semidirect
38. #2536C22semidirect
39. #2535C22semidirect
49. #2283C22semidirect
52. #2092C22semidirect
53. #2077C22semidirect
54. #2076C22semidirect
55. #2073C22semidirect
56. #2036C22semidirect
57. #2034C22semidirect
58. #2034C22semidirect
59. #2033C22semidirect
60. #2025C22semidirect
61. #2012C22semidirect
62. #2000C22semidirect
63. #1999C22semidirect
64. #1926C22semidirect
65. #1925C22semidirect
66. #1893C22semidirect
67. #1893C22semidirect
68. #1880C22semidirect
69. #1879C22semidirect
70. #1874C22semidirect
71. #1872C22semidirect
72. #1869C22semidirect
73. #1869C22semidirect
74. #1853C22semidirect
75. #1852C22semidirect
76. #1817C22semidirect
79. #1786C22semidirect
80. #1786C22semidirect
96. C23×C8C23semidirect
99. C2×#125C23semidirect
100. C2×#124C23semidirect
104. C2×C22⋊Q8C23semidirect
112. C2×#121C23semidirect
118. C2×C4×Q8C23semidirect
125. C2×C4×D4C23semidirect
142. C2×#107C23semidirect
143. C2×#106C23semidirect
144. C2×#103C23semidirect
151. C2×#102C23semidirect
157. C2×C22⋊C8C23semidirect
191. #382C23semidirect
199. #380C23semidirect
200. #380C23semidirect
205. C4×C4⋊C4C23semidirect
209. #340C23semidirect
210. #340C23semidirect
211. #340C23semidirect
212. #340C23semidirect
213. #336C23semidirect
214. #336C23semidirect

Maximal subgroups

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

subgroupindex
#351022
C2×#24082
#328812
#328782
#312662
#305012
#304082
#304002
#298952
#298922
#275882
#243792
#243782
#239362
#217382