Finite Group Databasebeta

← #6632016

Subgroups — #6632016

Order 512.

2560 conjugacy classes of subgroups.

The subgroup lattice has 789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35172C211yesmaximal, characteristic, complemented
2C2×#2407C211yesmaximal, characteristic
3#32883C212yesmaximal, complemented
4#31268C214yesmaximal, complemented
5#30504C214yesmaximal, complemented
6#30410C214yesmaximal, complemented
7#30409C214yesmaximal, complemented
8#29894C212yesmaximal, complemented
9#27583C211yesmaximal, characteristic, complemented
10#27582C211yesmaximal, characteristic, complemented
11#24380C212yesmaximal, complemented
12#24379C212yesmaximal, complemented
13#23934C211yesmaximal, characteristic, complemented
14#23933C211yesmaximal, characteristic, complemented
15#21738C211yesmaximal, characteristic, complemented
16C23×#41C2211yescharacteristic
17C2×#533C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C2×#467C2214yescomplemented
22C2×#465C2214yescomplemented
23C2×#452C2214yescomplemented
24C2×#452C2214yescomplemented
25C2×#451C2212yes—
26C2×#450C2212yes—
27C22×C22⋊C8C2212yes—
28#2848C2212yes—
29#2848C2212yes—
30#2626—21no—
31#2626—21no—
32#2580—22no—
33#2566—22no—
34#2563C2212yescomplemented
35#2542C2212yescomplemented
36#2538C2212yescomplemented
37#2538C2212yescomplemented
38#2407—22no—
39#2407—22no—
40#2407C2214yes—
41#2407C2214yes—
42C2×#394—21no—
43C2×#392—21no—
44#2317—21no—
45#2309—21no—
46C2×#391C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#386—21no—
49C2×#385—21no—
50#2285C2211yescharacteristic
51C2×#380C2211yescharacteristic
52#2096C2212yescomplemented
53#2093C2212yescomplemented
54#2077C2214yescomplemented
55#2075C2214yescomplemented
56#2072C2212yescomplemented
57#2071C2212yescomplemented
58#2036C2214yescomplemented
59#2036C2214yescomplemented
60#2035C2214yescomplemented
61#2034C2214yescomplemented
62#2024C2212yescomplemented
63#2023C2212yescomplemented
64#2016C2212yescomplemented
65#2013C2212yescomplemented
66#2001C2214yescomplemented
67#2000C2214yescomplemented
68#1927C2214yescomplemented
69#1925C2214yescomplemented
70#1893C2214yescomplemented
71#1892C2214yescomplemented
72#1880C2214yescomplemented
73#1878C2214yescomplemented
74#1872C2212yes—
75#1872C2212yes—
76#1869C2214yescomplemented
77#1869C2214yescomplemented
78#1853C2212yes—
79#1852C2212yes—
80#1817C2211yescharacteristic
81#1817C2211yescharacteristic
82#1788C2214yescomplemented
83#1788C2214yescomplemented
84#1787C2212yes—
85#1786C2212yes—
86#1779C2212yes—
87C22×#41—22no—
88C22×#41—44no—
89C22×#41—44no—
90C22×#41—44no—
91C22×#41C2314yes—
92C23×Q8C2311yescharacteristic
93C23×D4—21no—
94C23×D4—21no—
95C23×D4D411yescharacteristic
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C22×Q16C2314yes—
101C22×SD16C2314yes—
102C23×C8C2314yes—
103#533—44no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×#125—21no—
107C2×C22⋊Q8—21no—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—44no—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2314yes—
112C2×C22⋊Q8C2312yes—
113C2×C22⋊Q8C2312yes—
114C2×C22⋊Q8C2312yes—
115C2×C22⋊Q8C2312yes—
116C2×#121—22no—
117C2×#121—44no—
118C2×#121C2314yes—
119C2×C4×Q8—21no—
120C2×C4×Q8C2312yes—
121C2×C4×D4—44no—
122C2×C4×D4D412yes—
123C2×C4×D4D412yes—
124C2×C4×D4C2312yes—
125C2×C4×D4C2312yes—
126C2×#117—21no—
127C2×#117—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4D411yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4D411yescharacteristic
138C22×C22⋊C4D411yescharacteristic
139C22×C42C2311yescharacteristic
140#467—48no—
141#465—48no—
142#452—48no—
143#452—48no—
144#451—44no—
145#450—44no—
146C2×#107C2314yes—
147C2×#106C2314yes—
148C2×#103C2314yes—
149C2×#103C2314yes—
150C2×#103C2314yes—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×C22⋊C8—44no—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2314yes—
160C2×C22⋊C8C2314yes—
161C2×C22⋊C8C2314yes—
162#399—22no—
163#399—22no—
164#396—22no—
165#396—22no—
166#396—22no—
167#396—22no—
168#394—24no—
169#394—24no—
170#393—22no—
171#393—22no—
172#392—24no—
173#392—24no—
174#391—21no—
175#391—21no—
176#391C2312yes—
177#391C2312yes—
178#390—22no—
179#390—22no—
180#390—22no—
181#390—22no—
182#390—21no—
183#390—21no—
184#390C2312yes—
185#390C2312yes—
186#389—22no—
187#389—22no—
188#386—24no—
189#386—24no—
190#385—22no—
191#385—22no—
192#385—22no—
193#385—22no—
194#385—22no—
195#385—22no—
196#385—24no—
197#385—24no—
198#384—22no—
199#384C2311yescharacteristic
200#384C2311yescharacteristic
201#382—22no—
202#382—21no—
203#380—21no—
204#380—22no—
205#380C2312yes—
206#380C2312yes—
207#380C2312yes—
208#380C2312yes—
209#380C2314yes—
210#380C2312yes—
211#379—22no—
212#379—22no—
213C4×C4⋊C4—21no—
214C4×C4⋊C4C2312yes—
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—
226C25—21no—
227C25C2×D411yescharacteristic
228C25C2×D411yescharacteristic
229C2×#41—28no—
230C2×#41—28no—
231C2×#41—44no—
232C2×#41—44no—
233C2×#41—44no—
234C2×#41—44no—
235C2×#41—48no—
236C2×#41—48no—
237C2×#41—48no—
238C2×#41—464no—
239C22×Q8—24no—
240C22×Q8—21no—
241C22×Q8—21no—
242C22×Q8—24no—
243C22×Q8—42no—
244C22×Q8C2412yes—
245C22×Q8C2412yes—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—24no—
249C22×D4—24no—
250C22×D4—24no—
251C22×D4—21no—
252C22×D4—24no—
253C22×D4—42no—
254C22×D4—42no—
255C22×D4—44no—
256C22×D4—44no—
257C22×D4—44no—
258C22×D4—44no—
259C22×D4—44no—
260C22×D4—82no—
261C22×D4C2×D412yes—
262C22×D4C2×D412yes—
263C22×D4C2412yes—
264C23×C4—21no—
265C23×C4—24no—
266C23×C4—24no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—24no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—42no—
273C23×C4—42no—
274C23×C4—44no—
275C23×C4—44no—
276C23×C4—44no—
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D412yes—
282C23×C4C2×D412yes—
283C23×C4C2412yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C2×Q16—28no—
287C2×Q16—44no—
288C2×Q16—44no—
289C2×SD16—28no—
290C2×SD16—44no—
291C2×SD16—44no—
292C22×C8—44no—
293C22×C8—44no—
294C22×C8—44no—
295C22×C8C2414yes—
296C22×C8C2414yes—
297C4⋊Q8—42no—
298C4⋊Q8—42no—
299#125—44no—
300C22⋊Q8—28no—
301C22⋊Q8—24no—
302C22⋊Q8—24no—
303C22⋊Q8—44no—
304C22⋊Q8—44no—
305C22⋊Q8—48no—
306C22⋊Q8—44no—
307C22⋊Q8—44no—
308C22⋊Q8—44no—
309C22⋊Q8—44no—
310#121—28no—
311#121—44no—
312#121—48no—
313C4×Q8—42no—
314C4×Q8—42no—
315C4×Q8—44no—
316C4×D4—44no—
317C4×D4—44no—
318C4×D4—42no—
319C4×D4—42no—
320C4×D4—42no—
321C4×D4—42no—
322#117—44no—
323#117—44no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4C2×D412yes—
345C2×C4⋊C4C2×D412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—22no—
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—42no—
369C2×C22⋊C4—42no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4—82no—
374C2×C22⋊C4—82no—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2411yescharacteristic
385C2×C42C2411yescharacteristic
386#107—44no—
387#106—44no—
388#103—28no—
389#103—44no—
390#103—44no—
391#103—44no—
392#103—44no—
393#102—28no—
394#102—44no—
395#102—44no—
396C22⋊C8—24no—
397C22⋊C8—24no—
398C22⋊C8—44no—
399C22⋊C8—44no—
400C22⋊C8—44no—
401#95—24no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—22no—
407#95—22no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95—22no—
412C24—22no—
413C24—22no—
414C24—24no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—22no—
419C24—41no—
420C24—41no—
421C24—41no—
422C24—41no—
423C24—41no—
424C24—41no—
425C24—41no—
426C24—41no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24#13714yes—
434C24C22×D412yes—
435C24C22×D412yes—
436C24C22×D411yescharacteristic
437#41—416no—
438#41—416no—
439#41—416no—
440#41—464no—
441#41—416no—
442C2×Q8—24no—
443C2×Q8—22no—
444C2×Q8—24no—
445C2×Q8—24no—
446C2×Q8—24no—
447C2×Q8—24no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—416no—
451C2×Q8—42no—
452C2×Q8—42no—
453C2×Q8—42no—
454C2×Q8—81no—
455C2×Q8—81no—
456C2×Q8H(5,𝔽2)14yes—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—24no—
461C2×D4—24no—
462C2×D4—24no—
463C2×D4—24no—
464C2×D4—22no—
465C2×D4—416no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—416no—
469C2×D4—48no—
470C2×D4—42no—
471C2×D4—48no—
472C2×D4—48no—
473C2×D4—432no—
474C2×D4—48no—
475C2×D4—48no—
476C2×D4—42no—
477C2×D4—84no—
478C2×D4—816no—
479C2×D4H(5,𝔽2)14yes—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—48no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—41no—
516C22×C4—48no—
517C22×C4—416no—
518C22×C4—48no—
519C22×C4—42no—
520C22×C4—432no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—88no—
529C22×C4#13514yes—
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D412yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D412yes—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4H(5,𝔽2)14yes—
538C22×C4C2511yescharacteristic
539Q16—88no—
540SD16—88no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—88no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—48no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—81no—
567C4⋊C4—81no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—84no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—44no—
598C42—44no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—28no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—24no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—44no—
619C23—44no—
620C23—48no—
621C23—44no—
622C23—48no—
623C23—44no—
624C23—48no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—44no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—82no—
633C23—82no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23—82no—
638C23—82no—
639C23—82no—
640C23—84no—
641C23—84no—
642C23—84no—
643C23—84no—
644C23#53412yes—
645C23C2×#13512yes—
646C23C2×#13714yes—
647C23C2×#13712yes—
648C23C23×D411yescharacteristic
649Q8—28no—
650Q8—48no—
651Q8—44no—
652Q8—44no—
653Q8—44no—
654Q8—84no—
655D4—28no—
656D4—48no—
657D4—48no—
658D4—48no—
659D4—432no—
660D4—44no—
661D4—816no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—28no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—28no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—48no—
684C2×C4—44no—
685C2×C4—48no—
686C2×C4—432no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
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—42no—
711C2×C4—84no—
712C2×C4—82no—
713C2×C4—82no—
714C2×C4—84no—
715C2×C4—84no—
716C2×C4#53412yes—
717C2×C4C2×#13512yes—
718C2×C4C2×#13512yes—
719C2×C4C2×H(5,𝔽2)12yes—
720C2×C4C2×H(5,𝔽2)12yes—
721C2×C4C2×H(5,𝔽2)12yes—
722C8—44no—
723C8—44no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—44no—
740C22—42no—
741C22—42no—
742C22—44no—
743C22—42no—
744C22—44no—
745C22—42no—
746C22—42no—
747C22—88no—
748C22—88no—
749C22—816no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22#319014yes—
755C22C2×#53411yescharacteristic
756C22#348411yescharacteristic
757C22#348411yescharacteristic
758C22C22×#13511yescharacteristic
759C22C22×#13711yescharacteristic
760C22#358511yescharacteristic
761C22#358611yescharacteristic
762C4—22no—
763C4—22no—
764C4—22no—
765C4—41no—
766C4—41no—
767C4—42no—
768C4—42no—
769C4—44no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4#353214yes—
777C2—24no—
778C2—44no—
779C2—82no—
780C2—84no—
781C2#3670211yescharacteristic
782C2C2×#319011yescharacteristic
783C2#6075511yescharacteristic
784C2#6156511yescharacteristic
785C2#6156611yescharacteristic
786C2#6157011yescharacteristic
787C2#6157311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2407C2
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. #35172C2semidirect
3. #32883C2semidirect
4. #31268C2semidirect
5. #30504C2semidirect
6. #30410C2semidirect
7. #30409C2semidirect
8. #29894C2semidirect
9. #27583C2semidirect
10. #27582C2semidirect
11. #24380C2semidirect
12. #24379C2semidirect
13. #23934C2semidirect
14. #23933C2semidirect
15. #21738C2semidirect
21. C2×#467C22semidirect
22. C2×#465C22semidirect
23. C2×#452C22semidirect
24. C2×#452C22semidirect
34. #2563C22semidirect
35. #2542C22semidirect
36. #2538C22semidirect
37. #2538C22semidirect
52. #2096C22semidirect
53. #2093C22semidirect
54. #2077C22semidirect
55. #2075C22semidirect
56. #2072C22semidirect
57. #2071C22semidirect
58. #2036C22semidirect
59. #2036C22semidirect
60. #2035C22semidirect
61. #2034C22semidirect
62. #2024C22semidirect
63. #2023C22semidirect
64. #2016C22semidirect
65. #2013C22semidirect
66. #2001C22semidirect
67. #2000C22semidirect
68. #1927C22semidirect
69. #1925C22semidirect
70. #1893C22semidirect
71. #1892C22semidirect
72. #1880C22semidirect
73. #1878C22semidirect
76. #1869C22semidirect
77. #1869C22semidirect
82. #1788C22semidirect
83. #1788C22semidirect

Maximal subgroups

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

subgroupindex
#351722
C2×#24072
#328832
#312682
#305042
#304102
#304092
#298942
#275832
#275822
#243802
#243792
#239342
#239332
#217382