Finite Group Databasebeta

← #6433448

Subgroups — #6433448

Order 512.

2260 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34633C211yesmaximal, characteristic, complemented
2C2×#2324C211yesmaximal, characteristic, complemented
3#30120C214yesmaximal, complemented
4#30119C214yesmaximal, complemented
5#30118C214yesmaximal, complemented
6#30117C214yesmaximal, complemented
7#23747C211yesmaximal, characteristic, complemented
8#23731C211yesmaximal, characteristic, complemented
9#23508C211yesmaximal, characteristic, complemented
10#23482C212yesmaximal, complemented
11#23428C211yesmaximal, characteristic, complemented
12#23391C212yesmaximal, complemented
13#21059C212yesmaximal, complemented
14#20925C212yesmaximal, complemented
15#20683C211yesmaximal, characteristic, complemented
16C22×AGL(1,ℤ/8)C2212yes—
17C2×#532C2211yescharacteristic
18C2×#525C2212yes—
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C2×#428C2212yes—
23C2×#417C2212yes—
24C2×#417C2212yes—
25C2×#417C2212yes—
26C2×#418C2212yes—
27C2×#407C2212yes—
28#2621C2212yescomplemented
29#2620C2212yescomplemented
30#2620C2212yescomplemented
31#2619C2212yescomplemented
32#2618—21no—
33#2618—21no—
34#2617—21no—
35#2617—21no—
36#2392—22no—
37#2392—22no—
38#2324—22no—
39#2324—22no—
40#2324C2214yes—
41#2324C2214yes—
42#2297C2212yes—
43C2×#390—21no—
44C2×#390C2211yescharacteristic
45C2×#389C2211yescharacteristic
46C2×#388—21no—
47C2×#386—21no—
48C2×#385—21no—
49#2285C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×C4×C4⋊C4C2211yescharacteristic
52#2101C2214yescomplemented
53#2100C2212yescomplemented
54#2099C2212yescomplemented
55#2094C2212yescomplemented
56#2093C2212yescomplemented
57#2092C2214yescomplemented
58#2043C2212yescomplemented
59#2042C2214yescomplemented
60#2041C2212yescomplemented
61#2036C2214yescomplemented
62#2035C2214yescomplemented
63#2034C2214yescomplemented
64#2033C2214yescomplemented
65#2013C2212yescomplemented
66#2012C2214yescomplemented
67#2011C2212yescomplemented
68#2000C2214yes—
69#2000C2214yes—
70#1999C2214yes—
71#1999C2214yes—
72#1928C2214yescomplemented
73#1927C2214yescomplemented
74#1926C2214yescomplemented
75#1925C2214yescomplemented
76#1879C2214yescomplemented
77#1879C2214yescomplemented
78#1877C2214yescomplemented
79#1877C2214yescomplemented
80#1818C2214yescomplemented
81#1818C2214yescomplemented
82#1736C2212yes—
83#1736C2212yes—
84#1728C2212yes—
85#1728C2211yescharacteristic
86#1728C2211yescharacteristic
87C22×#41C2312yes—
88C23×D4—21no—
89C23×D4C2311yescharacteristic
90C24×C4—21no—
91C24×C4C2311yescharacteristic
92C2×AGL(1,ℤ/8)—28no—
93C2×AGL(1,ℤ/8)—44no—
94C2×AGL(1,ℤ/8)—44no—
95C22×SD16C2314yes—
96C22×D8C2314yes—
97C22×M16C2312yes—
98C22×M16C2312yes—
99#532—44no—
100C2×C4⋊Q8C2311yescharacteristic
101C2×#127C2311yescharacteristic
102C2×#124C2312yes—
103#525—44no—
104#525—44no—
105C2×#123—22no—
106C2×C22⋊Q8C2312yes—
107C2×C22⋊Q8C2312yes—
108C2×#121—24no—
109C2×#121—22no—
110C2×#121—21no—
111C2×#121—21no—
112C2×#121—24no—
113C2×#121C2314yes—
114C2×#121C2312yes—
115C2×#121C2312yes—
116C2×#120—22no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—22no—
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4—44no—
123C2×C4×D4C2314yes—
124C2×#117—44no—
125C2×#117D412yes—
126C2×#117D412yes—
127C2×#117C2312yes—
128C2×#117C2312yes—
129C2×#117C2312yes—
130C22×C4⋊C4—21no—
131C22×C4⋊C4D411yescharacteristic
132C22×C4⋊C4D411yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4D411yescharacteristic
142C22×C22⋊C4D411yescharacteristic
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#428—44no—
147C2×#107C2314yes—
148C2×#106C2314yes—
149#418—44no—
150#417—28no—
151#417—44no—
152#417—44no—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161#407—44no—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2314yes—
164#398—22no—
165#398—22no—
166#397—22no—
167#397—22no—
168#396—22no—
169#396—22no—
170#396—22no—
171#396—22no—
172#394—22no—
173#394—22no—
174#394—22no—
175#394—22no—
176#394—22no—
177#394—22no—
178#392—22no—
179#392—22no—
180#391C2312yes—
181#391C2312yes—
182#390—24no—
183#390—24no—
184#390—21no—
185#390—21no—
186#390C2312yes—
187#390C2312yes—
188#390C2312yes—
189#390C2312yes—
190#389—21no—
191#389—21no—
192#389C2312yes—
193#389C2312yes—
194#388—24no—
195#388—24no—
196#386—22no—
197#386—22no—
198#386—24no—
199#386—24no—
200#385—24no—
201#385—24no—
202#384C2311yescharacteristic
203#384C2311yescharacteristic
204#382C2312yes—
205#380—22no—
206#380—21no—
207#380—21no—
208#380C2314yes—
209C4×C4⋊C4—22no—
210C4×C4⋊C4—21no—
211C4×C4⋊C4—21no—
212C4×C4⋊C4C2314yes—
213C4×C22⋊C4—22no—
214C4×C22⋊C4—22no—
215C2×#95—21no—
216C2×#95—21no—
217C2×#95—21no—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2312yes—
223#336C2312yes—
224#336C2312yes—
225#336C2312yes—
226#336C2314yes—
227#336C2314yes—
228C25—21no—
229C25C2×D411yescharacteristic
230C2×#41—24no—
231C2×#41—24no—
232C2×#41—24no—
233C2×#41—24no—
234C2×#41—24no—
235C2×#41—24no—
236C22×Q8C2412yes—
237C22×D4—28no—
238C22×D4—24no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—21no—
243C22×D4—21no—
244C22×D4—21no—
245C22×D4—22no—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—82no—
249C22×D4—82no—
250C22×D4#4114yes—
251C22×D4C2412yes—
252C22×D4C2412yes—
253C23×C4—21no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—22no—
261C23×C4—24no—
262C23×C4—44no—
263C23×C4—82no—
264C23×C4—82no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D412yes—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273AGL(1,ℤ/8)—432no—
274C2×SD16—28no—
275C2×SD16—44no—
276C2×SD16—44no—
277C2×D8—28no—
278C2×D8—44no—
279C2×D8—44no—
280C2×M16—24no—
281C2×M16—24no—
282C2×M16—24no—
283C2×M16—24no—
284C2×M16—24no—
285C2×M16—24no—
286C22×C8C2414yes—
287C22×C8C2414yes—
288C4⋊Q8—42no—
289#127—42no—
290#124—42no—
291#124—42no—
292#123—48no—
293C22⋊Q8—42no—
294C22⋊Q8—42no—
295C22⋊Q8—42no—
296C22⋊Q8—42no—
297#121—216no—
298#121—28no—
299#121—28no—
300#121—42no—
301#121—42no—
302#121—42no—
303#121—42no—
304#121—44no—
305#121—44no—
306#120—48no—
307C4×D4—44no—
308C4×D4—44no—
309C4×D4—48no—
310C4×D4—44no—
311C4×D4—44no—
312C4×D4—48no—
313C4×D4—48no—
314#117—24no—
315#117—24no—
316#117—44no—
317#117—44no—
318#117—42no—
319#117—42no—
320#117—42no—
321#117—42no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—82no—
341C2×C4⋊C4C2×D412yes—
342C2×C4⋊C4C2×D412yes—
343C2×C4⋊C4C2×D412yes—
344C2×C4⋊C4C2×D412yes—
345C2×C4⋊C4#4114yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—28no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—24no—
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×C22⋊C4—42no—
371C2×C22⋊C4—42no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4—82no—
374C2×C22⋊C4—82no—
375C2×C22⋊C4—82no—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—22no—
383C2×C42—24no—
384C2×C42—82no—
385C2×C42C2×D412yes—
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2412yes—
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—44no—
392#106—44no—
393#103—28no—
394#103—44no—
395#103—44no—
396#102—28no—
397#102—44no—
398#102—44no—
399#102—44no—
400#102—44no—
401C22⋊C8—44no—
402C22⋊C8—44no—
403#95—24no—
404#95—24no—
405#95—22no—
406#95—22no—
407#95—22no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—22no—
413C24—24no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—22no—
419C24—41no—
420C24—41no—
421C24—41no—
422C24—41no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24C22×D412yes—
430C24C22×D411yescharacteristic
431#41—48no—
432#41—48no—
433#41—48no—
434#41—48no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×D4—216no—
442C2×D4—24no—
443C2×D4—216no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—48no—
463C2×D4—81no—
464C2×D4—81no—
465C2×D4—81no—
466C2×D4—81no—
467C2×D4—82no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4—82no—
471C2×D4—84no—
472C2×D4—84no—
473C2×D4—816no—
474C2×D4C2×#4114yes—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—48no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—84no—
521C22×C4—84no—
522C22×C4—816no—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4H(5,𝔽2)14yes—
534C22×C4H(5,𝔽2)14yes—
535C22×C4C2511yescharacteristic
536SD16—416no—
537D8—416no—
538M16—48no—
539M16—48no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—81no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C4⋊C4—81no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4C2×#4114yes—
571C22⋊C4—216no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—48no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—84no—
593C42—22no—
594C42—22no—
595C42—24no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—44no—
601C42—84no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—44no—
615C23—48no—
616C23—44no—
617C23—48no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—48no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—82no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—84no—
641C23#52512yes—
642C23#53412yes—
643C23#53512yes—
644C23C23×D411yescharacteristic
645Q8—42no—
646Q8—42no—
647Q8—42no—
648Q8—42no—
649D4—28no—
650D4—48no—
651D4—42no—
652D4—42no—
653D4—44no—
654D4—42no—
655D4—42no—
656D4—816no—
657D4—84no—
658D4—84no—
659D4—88no—
660D4—88no—
661D4—88no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—22no—
675C2×C4—24no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—48no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—48no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
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—82no—
711C2×C4—82no—
712C2×C4—816no—
713C2×C4—84no—
714C2×C4—84no—
715C2×C4—88no—
716C2×C4#52512yes—
717C2×C4#53412yes—
718C2×C4#53512yes—
719C2×C4#53818yes—
720C2×C4#54018yes—
721C2×C4C22×#4111yescharacteristic
722C2×C4C22×#4111yescharacteristic
723C2×C4C2×H(5,𝔽2)12yes—
724C2×C4C2×H(5,𝔽2)12yes—
725C8—44no—
726C8—44no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—42no—
734C22—44no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—44no—
741C22—42no—
742C22—44no—
743C22—88no—
744C22—816no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22#263514yes—
757C22C2×#52511yescharacteristic
758C22C2×#53411yescharacteristic
759C22C2×#53511yescharacteristic
760C22#358511yescharacteristic
761C22#358511yescharacteristic
762C22#358511yescharacteristic
763C22#358611yescharacteristic
764C4—42no—
765C4—42no—
766C4—41no—
767C4—41no—
768C4—42no—
769C4—41no—
770C4—41no—
771C4—44no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4#263514yes—
778C4C2×#53812yes—
779C4C2×#54012yes—
780C2—24no—
781C2—82no—
782C2—84no—
783C2—162no—
784C2C2×#263511yescharacteristic
785C2#6056411yescharacteristic
786C2#6056511yescharacteristic
787C2#6075311yescharacteristic
788C2#6075511yescharacteristic
789C2#6080811yescharacteristic
790C2#6081011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #34633C2semidirect
2. C2×#2324C2semidirect
3. #30120C2semidirect
4. #30119C2semidirect
5. #30118C2semidirect
6. #30117C2semidirect
7. #23747C2semidirect
8. #23731C2semidirect
9. #23508C2semidirect
10. #23482C2semidirect
11. #23428C2semidirect
12. #23391C2semidirect
13. #21059C2semidirect
14. #20925C2semidirect
15. #20683C2semidirect
28. #2621C22semidirect
29. #2620C22semidirect
30. #2620C22semidirect
31. #2619C22semidirect
52. #2101C22semidirect
53. #2100C22semidirect
54. #2099C22semidirect
55. #2094C22semidirect
56. #2093C22semidirect
57. #2092C22semidirect
58. #2043C22semidirect
59. #2042C22semidirect
60. #2041C22semidirect
61. #2036C22semidirect
62. #2035C22semidirect
63. #2034C22semidirect
64. #2033C22semidirect
65. #2013C22semidirect
66. #2012C22semidirect
67. #2011C22semidirect
72. #1928C22semidirect
73. #1927C22semidirect
74. #1926C22semidirect
75. #1925C22semidirect
76. #1879C22semidirect
77. #1879C22semidirect
78. #1877C22semidirect
79. #1877C22semidirect
80. #1818C22semidirect
81. #1818C22semidirect

Maximal subgroups

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

subgroupindex
#346332
C2×#23242
#301202
#301192
#301182
#301172
#237472
#237312
#235082
#234822
#234282
#233912
#210592
#209252
#206832