Finite Group Databasebeta

← #6644492

Subgroups — #6644492

Order 512.

2124 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35010C211yesmaximal, characteristic, complemented
2C2×#2535C211yesmaximal, characteristic
3#33009C212yesmaximal, complemented
4#32004C214yesmaximal, complemented
5#31394C214yesmaximal, complemented
6#30565C214yesmaximal, complemented
7#30403C214yesmaximal, complemented
8#29913C212yesmaximal, complemented
9#27601C211yesmaximal, characteristic, complemented
10#24552C212yesmaximal, complemented
11#24379C212yesmaximal, complemented
12#24006C211yesmaximal, characteristic, complemented
13#24002C211yesmaximal, characteristic, complemented
14#23919C211yesmaximal, characteristic, complemented
15#21738C211yesmaximal, characteristic, complemented
16C22×C22⋊Q8C2211yescharacteristic
17C22×#121C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C2×#484C2212yes—
22C2×#480C2212yescomplemented
23C2×#465C2214yescomplemented
24C2×#448C2212yescomplemented
25C2×#450C2212yes—
26C22×C22⋊C8C2212yes—
27#2855C2212yes—
28#2848C2212yes—
29#2627—21no—
30#2626—21no—
31#2579—22no—
32#2564—22no—
33#2535—22no—
34#2535—22no—
35#2535C2214yes—
36#2535C2214yes—
37#2487C2212yescomplemented
38#2417C2212yescomplemented
39#2417C2212yescomplemented
40#2409C2212yescomplemented
41C2×#397—21no—
42C2×#392—21no—
43#2315—21no—
44#2308—21no—
45C2×#386—21no—
46C2×#386—21no—
47C2×#382C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51#2101C2214yescomplemented
52#2097C2214yescomplemented
53#2085C2214yescomplemented
54#2077C2214yescomplemented
55#2076C2214yescomplemented
56#2074C2214yescomplemented
57#2036C2214yescomplemented
58#2036C2214yescomplemented
59#2034C2214yescomplemented
60#2033C2214yescomplemented
61#2000C2214yescomplemented
62#2000C2214yescomplemented
63#1893C2214yescomplemented
64#1892C2214yescomplemented
65#1877C2214yescomplemented
66#1877C2214yescomplemented
67#1874C2212yescomplemented
68#1874C2212yescomplemented
69#1872C2212yes—
70#1872C2212yes—
71#1869C2214yescomplemented
72#1869C2214yescomplemented
73#1862C2214yescomplemented
74#1862C2214yescomplemented
75#1853C2212yes—
76#1853C2212yescomplemented
77#1852C2212yes—
78#1852C2212yescomplemented
79#1824C2212yes—
80#1823C2212yescomplemented
81#1817C2212yes—
82#1808C2214yescomplemented
83#1787C2212yescomplemented
84#1786C2212yes—
85#1779C2211yescharacteristic
86#1779C2211yescharacteristic
87C23×Q8C2311yescharacteristic
88C23×D4—21no—
89C23×D4—21no—
90C23×D4D411yescharacteristic
91C23×D4C2311yescharacteristic
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C22×SD16C2314yes—
96C23×C8C2314yes—
97C2×C22⋊Q8—21no—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—44no—
100C2×C22⋊Q8C2312yes—
101C2×C22⋊Q8C2312yes—
102C2×C22⋊Q8C2312yes—
103C2×C22⋊Q8C2312yes—
104C2×#121—21no—
105C2×#121—21no—
106C2×#121—22no—
107C2×#121—44no—
108C2×#121—44no—
109C2×#121C2312yes—
110C2×#121C2312yes—
111C2×#121C2314yes—
112C2×C4×D4—22no—
113C2×C4×D4—44no—
114C2×C4×D4—44no—
115C2×C4×D4D412yes—
116C2×C4×D4D412yes—
117C2×C4×D4C2314yes—
118C2×C4×D4C2312yes—
119C2×C4×D4C2312yes—
120C22×C4⋊C4—21no—
121C22×C4⋊C4D411yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42C2311yescharacteristic
138#484—44no—
139#480—44no—
140#465—48no—
141#450—44no—
142#448—44no—
143C2×#107C2314yes—
144C2×#107C2314yes—
145C2×#106C2314yes—
146C2×#103C2314yes—
147C2×#103C2314yes—
148C2×#103C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×C22⋊C8—44no—
153C2×C22⋊C8C2312yes—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2314yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160#400—22no—
161#399—22no—
162#398—22no—
163#398—22no—
164#397—24no—
165#397—24no—
166#396—22no—
167#396—22no—
168#395—22no—
169#393—22no—
170#392—24no—
171#392—24no—
172#391C2312yes—
173#391C2312yes—
174#389C2312yes—
175#389C2312yes—
176#387—22no—
177#387—22no—
178#386—22no—
179#386—22no—
180#386—22no—
181#386—22no—
182#386—24no—
183#386—24no—
184#386—24no—
185#386—24no—
186#385—22no—
187#385—22no—
188#385—22no—
189#385—22no—
190#385—22no—
191#385—22no—
192#382—22no—
193#382C2314yes—
194#381—22no—
195#380—21no—
196#380—21no—
197#380—21no—
198#380—21no—
199#380—22no—
200#380—22no—
201#380—22no—
202#380C2312yes—
203#380C2314yes—
204#380C2312yes—
205#380C2312yes—
206#380C2312yes—
207#380C2312yes—
208#380C2312yes—
209#379—22no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#336C2314yes—
222#336C2314yes—
223C25—21no—
224C25C2×D411yescharacteristic
225C25C2×D411yescharacteristic
226C22×Q8—21no—
227C22×Q8—42no—
228C22×Q8—42no—
229C22×Q8—42no—
230C22×Q8C2412yes—
231C22×D4—24no—
232C22×D4—24no—
233C22×D4—24no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—24no—
237C22×D4—21no—
238C22×D4—24no—
239C22×D4—42no—
240C22×D4—42no—
241C22×D4—44no—
242C22×D4—44no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4—82no—
246C22×D4—82no—
247C22×D4C2×D412yes—
248C22×D4C2×D412yes—
249C22×D4C2412yes—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—24no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—44no—
265C23×C4—82no—
266C23×C4—82no—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D412yes—
274C23×C4C2411yescharacteristic
275C23×C4C2411yescharacteristic
276C23×C4C2412yes—
277C23×C4C2411yescharacteristic
278C2×SD16—28no—
279C2×SD16—44no—
280C2×SD16—44no—
281C22×C8—44no—
282C22×C8—44no—
283C22×C8—44no—
284C22×C8C2414yes—
285C22×C8C2414yes—
286C22⋊Q8—24no—
287C22⋊Q8—24no—
288C22⋊Q8—42no—
289C22⋊Q8—42no—
290C22⋊Q8—44no—
291C22⋊Q8—44no—
292C22⋊Q8—44no—
293C22⋊Q8—44no—
294#121—24no—
295#121—28no—
296#121—24no—
297#121—42no—
298#121—44no—
299#121—42no—
300#121—48no—
301#121—44no—
302#121—44no—
303C4×D4—44no—
304C4×D4—44no—
305C4×D4—44no—
306C4×D4—44no—
307C4×D4—42no—
308C4×D4—42no—
309C4×D4—42no—
310C4×D4—42no—
311C4×D4—48no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4C2×D412yes—
333C2×C4⋊C4C2×D412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—42no—
356C2×C22⋊C4—42no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—82no—
363C2×C22⋊C4—82no—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C42—24no—
369C2×C42C2×D412yes—
370C2×C42C2412yes—
371#107—44no—
372#107—44no—
373#106—44no—
374#103—44no—
375#103—44no—
376#103—44no—
377#102—28no—
378#102—44no—
379#102—44no—
380C22⋊C8—24no—
381C22⋊C8—24no—
382C22⋊C8—44no—
383C22⋊C8—42no—
384C22⋊C8—42no—
385C22⋊C8—42no—
386C22⋊C8—42no—
387#95—22no—
388#95—24no—
389#95—22no—
390#95—22no—
391#95—22no—
392#95—24no—
393#95—24no—
394#95—22no—
395#95—22no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—24no—
407C24—22no—
408C24—41no—
409C24—41no—
410C24—41no—
411C24—41no—
412C24—41no—
413C24—41no—
414C24—41no—
415C24—41no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24#13514yes—
423C24#13714yes—
424C24C22×D411yescharacteristic
425C24C22×D411yescharacteristic
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428C2×Q8—22no—
429C2×Q8—24no—
430C2×Q8—22no—
431C2×Q8—24no—
432C2×Q8—42no—
433C2×Q8—81no—
434C2×Q8—81no—
435C2×Q8—88no—
436C2×D4—24no—
437C2×D4—24no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—24no—
442C2×D4—22no—
443C2×D4—24no—
444C2×D4—416no—
445C2×D4—42no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—416no—
449C2×D4—48no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—48no—
455C2×D4—42no—
456C2×D4—84no—
457C2×D4—82no—
458C2×D4—82no—
459C2×D4—816no—
460C2×D4—816no—
461C2×D4H(5,𝔽2)14yes—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—42no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—42no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—48no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—88no—
517C22×C4—88no—
518C22×C4—84no—
519C22×C4—84no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4—816no—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4H(5,𝔽2)14yes—
536C22×C4C2511yescharacteristic
537SD16—88no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—88no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—24no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—44no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—82no—
562C4⋊C4—82no—
563C4⋊C4—81no—
564C4⋊C4—81no—
565C4⋊C4—82no—
566C4⋊C4—82no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—48no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—48no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4—84no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C42—24no—
587C42—22no—
588C42—22no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—21no—
604C23—21no—
605C23—22no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—21no—
610C23—21no—
611C23—28no—
612C23—28no—
613C23—24no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—48no—
619C23—48no—
620C23—48no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—82no—
628C23—82no—
629C23—82no—
630C23—82no—
631C23—82no—
632C23—82no—
633C23—82no—
634C23—82no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23#53412yes—
640C23C2×#13512yes—
641C23C2×#13512yes—
642C23C2×#13512yes—
643C23C2×#13714yes—
644C23C2×#13712yes—
645C23C23×D411yescharacteristic
646Q8—44no—
647Q8—44no—
648Q8—84no—
649D4—28no—
650D4—48no—
651D4—48no—
652D4—48no—
653D4—44no—
654D4—88no—
655D4—88no—
656D4—816no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—28no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
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—82no—
703C2×C4—84no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4—82no—
707C2×C4—816no—
708C2×C4—84no—
709C2×C4—84no—
710C2×C4—84no—
711C2×C4—84no—
712C2×C4—84no—
713C2×C4—162no—
714C2×C4—162no—
715C2×C4#53412yes—
716C2×C4C2×H(5,𝔽2)12yes—
717C2×C4C2×H(5,𝔽2)12yes—
718C2×C4#58512yes—
719C8—44no—
720C8—44no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—24no—
730C22—22no—
731C22—22no—
732C22—24no—
733C22—22no—
734C22—22no—
735C22—24no—
736C22—42no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—42no—
741C22—41no—
742C22—42no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—42no—
747C22—41no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—88no—
752C22—88no—
753C22—816no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22#319014yes—
759C22C2×#53411yescharacteristic
760C22#348411yescharacteristic
761C22#348511yescharacteristic
762C22C22×#13511yescharacteristic
763C22C22×#13711yescharacteristic
764C22#358511yescharacteristic
765C22#358511yescharacteristic
766C4—22no—
767C4—42no—
768C4—42no—
769C4—41no—
770C4—42no—
771C4—41no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4#353414yes—
780C2—24no—
781C2—42no—
782C2—42no—
783C2—44no—
784C2—84no—
785C2#3711711yescharacteristic
786C2C2×#319011yescharacteristic
787C2#6075311yescharacteristic
788C2#6156111yescharacteristic
789C2#6157011yescharacteristic
790C2#6169911yescharacteristic
791C2#6170811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2535C2
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. #35010C2semidirect
3. #33009C2semidirect
4. #32004C2semidirect
5. #31394C2semidirect
6. #30565C2semidirect
7. #30403C2semidirect
8. #29913C2semidirect
9. #27601C2semidirect
10. #24552C2semidirect
11. #24379C2semidirect
12. #24006C2semidirect
13. #24002C2semidirect
14. #23919C2semidirect
15. #21738C2semidirect
22. C2×#480C22semidirect
23. C2×#465C22semidirect
24. C2×#448C22semidirect
37. #2487C22semidirect
38. #2417C22semidirect
39. #2417C22semidirect
40. #2409C22semidirect
51. #2101C22semidirect
52. #2097C22semidirect
53. #2085C22semidirect
54. #2077C22semidirect
55. #2076C22semidirect
56. #2074C22semidirect
57. #2036C22semidirect
58. #2036C22semidirect
59. #2034C22semidirect
60. #2033C22semidirect
61. #2000C22semidirect
62. #2000C22semidirect
63. #1893C22semidirect
64. #1892C22semidirect
65. #1877C22semidirect
66. #1877C22semidirect
67. #1874C22semidirect
68. #1874C22semidirect
71. #1869C22semidirect
72. #1869C22semidirect
73. #1862C22semidirect
74. #1862C22semidirect
76. #1853C22semidirect
78. #1852C22semidirect
80. #1823C22semidirect
82. #1808C22semidirect
83. #1787C22semidirect

Maximal subgroups

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

subgroupindex
#350102
C2×#25352
#330092
#320042
#313942
#305652
#304032
#299132
#276012
#245522
#243792
#240062
#240022
#239192
#217382