Finite Group Databasebeta

← #6488996

Subgroups — #6488996

Order 512.

1872 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C211yesmaximal, characteristic, complemented
2C4×#532C211yesmaximal, characteristic
3#32955C212yesmaximal, complemented
4#32907C212yesmaximal, complemented
5#30136C214yesmaximal, complemented
6#29122C212yesmaximal, complemented
7#28372C212yesmaximal, complemented
8#28283C211yesmaximal, characteristic, complemented
9#28279C211yesmaximal, characteristic, complemented
10#28255C211yesmaximal, characteristic, complemented
11#28252C211yesmaximal, characteristic, complemented
12#27682C212yesmaximal, complemented
13#24505C214yesmaximal, complemented
14#24213C212yesmaximal
15#22148C212yesmaximal, complemented
16#22147C212yesmaximal, complemented
17#20808C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×C4×#41C2212yes—
20C2×#475C2212yes—
21C2×#474C2212yes—
22C2×#462C2212yes—
23C2×#462C2212yes—
24C2×#460C2212yes—
25C2×#461C2212yes—
26C2×#452C2214yes—
27C2×#431C2212yes—
28#2864—21no—
29#2863—21no—
30#2863C2212yes—
31#2862C2211yescharacteristic
32#2859C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2855—21no—
36#2855C2212yes—
37#2851—21no—
38C4×C4⋊Q8C2211yescharacteristic
39C4×C4⋊Q8C2211yescharacteristic
40C4×C4⋊Q8C2211yescharacteristic
41C4×C4⋊Q8C2211yescharacteristic
42C4×#127C2211yescharacteristic
43C4×#127C2211yescharacteristic
44C4×#125—21no—
45C4×#124C2212yes—
46C4×#124C2212yes—
47C4×C22⋊Q8—21no—
48C4×C22⋊Q8C2212yes—
49C4×#121—21no—
50C4×#121—21no—
51C4×#121—21no—
52C4×#121—21no—
53#2297C2212yes—
54#2295—21no—
55#2295C2212yes—
56#2293—21no—
57#2293—21no—
58#2285C2211yescharacteristic
59#2283—21no—
60C42×D4—21no—
61C42×D4—21no—
62C2×C43C2211yescharacteristic
63#2101C2214yes—
64#2097C2214yes—
65#2067C2214yes—
66#2066C2214yes—
67#2056C2214yes—
68#2055C2214yes—
69#2042C2214yes—
70#2015C2214yes—
71#1982C2212yes—
72#1981C2212yes—
73#1969C2214yes—
74#1968C2214yes—
75#1948C2212yes—
76#1947C2212yes—
77#1934C2214yes—
78#1933C2214yes—
79#1878C2214yes—
80#1877C2214yes—
81#1873C2214yes—
82#1864C2214yes—
83#1863C2214yes—
84#1854C2214yes—
85#1842C2211yescharacteristic
86#1842C2211yescharacteristic
87#1831C2212yes—
88#1803C2212yes—
89#1803C2212yes—
90#1803C2212yes—
91#1803C2212yes—
92#1802C2212yes—
93#1802C2212yes—
94#1797C2212yes—
95#1797C2212yes—
96#1788C2214yes—
97C4×C4⋊C8C2212yes—
98C4×C4⋊C8C2212yes—
99C22×#41C2312yes—
100C22×Q16C2314yes—
101C22×SD16C2314yes—
102#532—24no—
103#532—24no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2311yescharacteristic
107C2×#127C2311yescharacteristic
108C2×#125—21no—
109C2×#124C2312yes—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8C2312yes—
112C2×#121—21no—
113C2×#121—21no—
114C4×#41—44no—
115C4×#41—44no—
116C2×C4×Q8—21no—
117C2×C4×Q8C2312yes—
118C2×C4×Q8C2312yes—
119C2×C4×Q8C2312yes—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—21no—
125C2×C4×D4—21no—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4C2312yes—
129C2×C4×D4C2312yes—
130C2×#117—22no—
131C2×#117C2312yes—
132C22×C42—22no—
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#475—44no—
141#474—44no—
142#462—28no—
143#462—44no—
144#461—44no—
145#460—28no—
146#452—48no—
147#431—44no—
148C2×#107C2314yes—
149C2×#106C2314yes—
150C2×C4⋊C8C2312yes—
151C2×C4⋊C8C2312yes—
152C2×C4⋊C8C2312yes—
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×C22⋊C8C2314yes—
165C2×C4×C8C2314yes—
166#391—21no—
167#391—21no—
168#391—21no—
169#391—21no—
170#391C2312yes—
171#391C2312yes—
172#391C2312yes—
173#391C2312yes—
174#391C2312yes—
175#391C2312yes—
176#390—21no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390C2312yes—
181#390C2312yes—
182#389—21no—
183#389—21no—
184#389—21no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389C2312yes—
195#389C2312yes—
196#389C2312yes—
197#389C2312yes—
198#388—22no—
199#388—22no—
200#388—22no—
201#388—22no—
202#387—22no—
203#387—22no—
204#387—22no—
205#387—22no—
206#387—22no—
207#387—22no—
208#387—22no—
209#387—22no—
210#386—22no—
211#386—22no—
212#385—22no—
213#385—22no—
214#384C2311yescharacteristic
215#384C2311yescharacteristic
216#384C2311yescharacteristic
217#384C2311yescharacteristic
218#383—22no—
219#382—21no—
220#382—21no—
221#382—21no—
222#382C2312yes—
223#381—22no—
224#380—21no—
225#380—21no—
226#380—21no—
227#380—21no—
228#380—21no—
229#380C2312yes—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—22no—
233C4×C4⋊C4—22no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—21no—
236C4×C4⋊C4—21no—
237C4×C4⋊C4—21no—
238C4×C4⋊C4—21no—
239C4×C4⋊C4—21no—
240C4×C4⋊C4—21no—
241C4×C4⋊C4C2312yes—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—22no—
244C4×C22⋊C4—22no—
245C4×C22⋊C4—22no—
246C4×C22⋊C4—22no—
247C4×C22⋊C4—22no—
248C4×C22⋊C4—22no—
249#376—22no—
250C43D411yescharacteristic
251C43D411yescharacteristic
252C43D411yescharacteristic
253C43D411yescharacteristic
254C43C2311yescharacteristic
255C43C2311yescharacteristic
256C43C2311yescharacteristic
257C43C2311yescharacteristic
258#340C2314yes—
259#340C2314yes—
260#340C2314yes—
261#340C2314yes—
262#336C2314yes—
263#336C2314yes—
264C2×#41—24no—
265C2×#41—24no—
266C2×#41—24no—
267C2×#41—24no—
268C2×#41—42no—
269C2×#41—42no—
270C22×Q8—21no—
271C22×Q8C2412yes—
272C22×Q8C2412yes—
273C22×D4—22no—
274C22×D4—21no—
275C22×D4—21no—
276C22×D4C2412yes—
277C23×C4—22no—
278C23×C4—22no—
279C23×C4—22no—
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2411yescharacteristic
287C2×Q16—28no—
288C2×Q16—44no—
289C2×Q16—44no—
290C2×SD16—28no—
291C2×SD16—44no—
292C2×SD16—44no—
293C22×C8C2414yes—
294C22×C8C2414yes—
295C4⋊Q8—22no—
296C4⋊Q8—22no—
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299C4⋊Q8—22no—
300C4⋊Q8#4114yes—
301#127—22no—
302#127#4114yes—
303#125—44no—
304#124—24no—
305#124—24no—
306C22⋊Q8—24no—
307C22⋊Q8—24no—
308C22⋊Q8—44no—
309#121—28no—
310#121—28no—
311C4×Q8—24no—
312C4×Q8—24no—
313C4×Q8—24no—
314C4×Q8—24no—
315C4×Q8—42no—
316C4×Q8—42no—
317C4×Q8—44no—
318C4×D4—28no—
319C4×D4—28no—
320C4×D4—24no—
321C4×D4—24no—
322C4×D4—42no—
323C4×D4—42no—
324C4×D4—44no—
325C4×D4—44no—
326C4×D4—48no—
327C4×D4—48no—
328C4×D4—44no—
329C4×D4—44no—
330#117—48no—
331#117—42no—
332#117—42no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—42no—
384C2×C42—42no—
385C2×C42—48no—
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414#107—44no—
415#106—44no—
416C4⋊C8—24no—
417C4⋊C8—24no—
418C4⋊C8—24no—
419C4⋊C8—24no—
420C4⋊C8—42no—
421C4⋊C8—42no—
422#103—28no—
423#103—44no—
424#103—44no—
425#103—44no—
426#103—44no—
427#102—28no—
428#102—44no—
429#102—44no—
430C22⋊C8—28no—
431C4×C8—44no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452C24—22no—
453C24C22×D411yescharacteristic
454#41—48no—
455#41—48no—
456#41—48no—
457#41—48no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—22no—
461C2×Q8—22no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8C2×#4114yes—
473C2×D4—28no—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4C2×#4114yes—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—28no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4H(5,𝔽2)12yes—
540C22×C42−1+412yes—
541C22×C4C2511yescharacteristic
542Q16—88no—
543SD16—88no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—44no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—44no—
581C22⋊C4—28no—
582C22⋊C4—28no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—21no—
609C42—21no—
610C42—21no—
611C42—21no—
612C42—21no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—41no—
620C42—44no—
621C42—44no—
622C42—44no—
623C42—44no—
624C42—44no—
625C42#13514yes—
626C42#13714yes—
627C42C2×#4112yes—
628C42C2×#4112yes—
629C42H(5,𝔽2)12yes—
630C42H(5,𝔽2)12yes—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—24no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23#53712yes—
645C23C23×D411yescharacteristic
646Q8—24no—
647Q8—24no—
648Q8—42no—
649Q8—42no—
650Q8—42no—
651Q8—42no—
652Q8—42no—
653Q8—42no—
654Q8—84no—
655D4—24no—
656D4—24no—
657D4—48no—
658D4—416no—
659D4—48no—
660D4—42no—
661D4—42no—
662C2×C4—28no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—416no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—88no—
721C2×C4—88no—
722C2×C4#52512yes—
723C2×C4#52512yes—
724C2×C4#53512yes—
725C2×C4#53512yes—
726C2×C4#53712yes—
727C2×C4C2×#13512yes—
728C2×C4C2×#13512yes—
729C2×C4C2×#13512yes—
730C2×C4C2×#13712yes—
731C2×C4C2×#13712yes—
732C2×C4C2×#13712yes—
733C2×C4#57512yes—
734C2×C4#57512yes—
735C2×C4C22×#4111yescharacteristic
736C2×C4C22×#4111yescharacteristic
737C2×C4C2×H(5,𝔽2)11yescharacteristic
738C2×C4C2×H(5,𝔽2)11yescharacteristic
739C2×C4C2×H(5,𝔽2)11yescharacteristic
740C2×C4C2×2−1+411yescharacteristic
741C8—44no—
742C8—44no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22C2×#52511yescharacteristic
758C22C2×#53511yescharacteristic
759C22C2×#53711yescharacteristic
760C22C22×#13511yescharacteristic
761C22C22×#13711yescharacteristic
762C22C2×#57511yescharacteristic
763C22C2×#57511yescharacteristic
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—22no—
769C4—22no—
770C4—22no—
771C4—41no—
772C4—41no—
773C4—41no—
774C4—44no—
775C4—41no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4#310714yes—
783C4#321214yes—
784C4#351911yescharacteristic
785C4#351911yescharacteristic
786C4#352011yescharacteristic
787C4#352011yescharacteristic
788C2—42no—
789C2—84no—
790C2#3523611yescharacteristic
791C2C2×#310711yescharacteristic
792C2#6055911yescharacteristic
793C2C2×#321211yescharacteristic
794C2#6080411yescharacteristic
795C2#6090011yescharacteristic
796C2#6091811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#532C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36635C2semidirect
3. #32955C2semidirect
4. #32907C2semidirect
5. #30136C2semidirect
6. #29122C2semidirect
7. #28372C2semidirect
8. #28283C2semidirect
9. #28279C2semidirect
10. #28255C2semidirect
11. #28252C2semidirect
12. #27682C2semidirect
13. #24505C2semidirect
15. #22148C2semidirect
16. #22147C2semidirect
17. #20808C2semidirect

Maximal subgroups

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

subgroupindex
#366352
C4×#5322
#329552
#329072
#301362
#291222
#283722
#282832
#282792
#282552
#282522
#276822
#245052
#242132
#221482
#221472
#208082