Finite Group Databasebeta

← #6650292

Subgroups — #6650292

Order 512.

2232 conjugacy classes of subgroups.

The subgroup lattice has 825 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35010C211yesmaximal, characteristic, complemented
2C2×#2540C211yesmaximal, characteristic
3#33100C212yesmaximal, complemented
4#32033C214yesmaximal, complemented
5#30713C214yesmaximal, complemented
6#30709C214yesmaximal, complemented
7#30508C214yesmaximal, complemented
8#29626C212yesmaximal, complemented
9#24380C212yesmaximal, complemented
10#24379C212yesmaximal, complemented
11#24003C211yesmaximal, characteristic, complemented
12#24002C211yesmaximal, characteristic, complemented
13#23921C211yesmaximal, characteristic, complemented
14#23919C211yesmaximal, characteristic, complemented
15#21738C211yesmaximal, characteristic, complemented
16C22×#124C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#483C2212yescomplemented
24C2×#480C2212yescomplemented
25C2×#467C2214yescomplemented
26C2×#465C2214yescomplemented
27C2×#451C2212yes—
28C2×#451C2212yescomplemented
29C2×#448C2212yescomplemented
30C2×#450C2212yes—
31C22×C22⋊C8C2212yes—
32#2855C2212yes—
33#2848C2212yes—
34#2627—21no—
35#2626—21no—
36#2579—22no—
37#2564—22no—
38#2540—22no—
39#2540—22no—
40#2540C2214yes—
41#2540C2214yes—
42#2487C2212yescomplemented
43#2417C2212yescomplemented
44#2417C2212yescomplemented
45#2409C2212yescomplemented
46C2×#399—21no—
47C2×#392—21no—
48#2315—21no—
49#2308—21no—
50C2×#390—21no—
51C2×#390—21no—
52C2×#380C2211yescharacteristic
53C2×C4×C4⋊C4C2211yescharacteristic
54#2042C2214yescomplemented
55#2042C2214yescomplemented
56#2036C2214yescomplemented
57#2035C2214yescomplemented
58#2034C2214yescomplemented
59#2033C2214yescomplemented
60#2015C2214yescomplemented
61#2015C2214yescomplemented
62#2001C2214yescomplemented
63#2001C2214yescomplemented
64#2000C2214yescomplemented
65#2000C2214yescomplemented
66#1928C2214yescomplemented
67#1927C2214yescomplemented
68#1919C2214yescomplemented
69#1918C2214yescomplemented
70#1893C2214yescomplemented
71#1892C2214yescomplemented
72#1874C2212yescomplemented
73#1874C2212yescomplemented
74#1872C2212yes—
75#1872C2212yes—
76#1872C2212yescomplemented
77#1872C2212yescomplemented
78#1869C2214yescomplemented
79#1869C2214yescomplemented
80#1853C2212yes—
81#1852C2212yes—
82#1817C2212yes—
83#1787C2212yes—
84#1786C2212yes—
85#1779C2211yescharacteristic
86#1779C2211yescharacteristic
87C23×Q8C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C23×D4—21no—
90C23×D4—21no—
91C23×D4D411yescharacteristic
92C23×D4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C22×Q16C2314yes—
96C22×SD16C2314yes—
97C23×C8C2314yes—
98C2×#124—22no—
99C2×#124—44no—
100C2×#124C2314yes—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C2×C22⋊Q8—21no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—44no—
107C2×C22⋊Q8—44no—
108C2×C22⋊Q8—44no—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2314yes—
113C2×C22⋊Q8C2312yes—
114C2×C22⋊Q8C2312yes—
115C2×C22⋊Q8C2312yes—
116C2×#121—21no—
117C2×#121—21no—
118C2×#121—22no—
119C2×#121—44no—
120C2×#121—44no—
121C2×#121C2312yes—
122C2×#121C2312yes—
123C2×#121C2314yes—
124C2×C4×D4—44no—
125C2×C4×D4D412yes—
126C2×C4×D4D412yes—
127C2×C4×D4C2312yes—
128C2×C4×D4C2312yes—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4D411yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—21no—
145C22×C22⋊C4—21no—
146C22×C22⋊C4D411yescharacteristic
147C22×C22⋊C4D411yescharacteristic
148C22×C42—21no—
149C22×C42C2311yescharacteristic
150#483—44no—
151#480—44no—
152#467—48no—
153#465—48no—
154#451—44no—
155#451—44no—
156#450—44no—
157#448—44no—
158C2×#107C2314yes—
159C2×#106C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×C22⋊C8—44no—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172C2×C22⋊C8C2312yes—
173C2×C22⋊C8C2314yes—
174C2×C22⋊C8C2312yes—
175C2×C22⋊C8C2312yes—
176#400—22no—
177#399—24no—
178#399—24no—
179#399—22no—
180#398—22no—
181#398—22no—
182#396—22no—
183#396—22no—
184#395—22no—
185#393—22no—
186#392—24no—
187#392—24no—
188#391C2312yes—
189#391C2312yes—
190#390—24no—
191#390—24no—
192#390—24no—
193#390—24no—
194#389C2312yes—
195#389C2312yes—
196#387—22no—
197#387—22no—
198#386—22no—
199#386—22no—
200#386—22no—
201#386—22no—
202#385—22no—
203#385—22no—
204#385—22no—
205#385—22no—
206#385—22no—
207#385—22no—
208#381—22no—
209#380—21no—
210#380—21no—
211#380—22no—
212#380—22no—
213#380C2312yes—
214#380C2312yes—
215#380C2312yes—
216#380C2312yes—
217#379—22no—
218C4×C4⋊C4—22no—
219C4×C4⋊C4C2314yes—
220C2×#95—21no—
221C2×#95—21no—
222#340C2314yes—
223#340C2314yes—
224#340C2314yes—
225#340C2314yes—
226#336C2314yes—
227#336C2314yes—
228C25—21no—
229C25C2×D411yescharacteristic
230C25C2×D411yescharacteristic
231C22×Q8—21no—
232C22×Q8—21no—
233C22×Q8—24no—
234C22×Q8—42no—
235C22×Q8—42no—
236C22×Q8—42no—
237C22×Q8—42no—
238C22×Q8—42no—
239C22×Q8C2412yes—
240C22×Q8C2412yes—
241C22×D4—24no—
242C22×D4—24no—
243C22×D4—22no—
244C22×D4—22no—
245C22×D4—24no—
246C22×D4—21no—
247C22×D4—24no—
248C22×D4—42no—
249C22×D4—42no—
250C22×D4—42no—
251C22×D4—44no—
252C22×D4—44no—
253C22×D4—44no—
254C22×D4—44no—
255C22×D4—82no—
256C22×D4—82no—
257C22×D4C2×D412yes—
258C22×D4C2×D412yes—
259C22×D4C2412yes—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—42no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—42no—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D412yes—
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282C23×C4C2412yes—
283C23×C4C2411yescharacteristic
284C2×Q16—44no—
285C2×Q16—44no—
286C2×Q16—44no—
287C2×SD16—44no—
288C2×SD16—44no—
289C2×SD16—44no—
290C22×C8—44no—
291C22×C8—44no—
292C22×C8—44no—
293C22×C8C2414yes—
294C22×C8C2414yes—
295#124—44no—
296#124—44no—
297#124—48no—
298C22⋊Q8—24no—
299C22⋊Q8—24no—
300C22⋊Q8—24no—
301C22⋊Q8—28no—
302C22⋊Q8—24no—
303C22⋊Q8—42no—
304C22⋊Q8—42no—
305C22⋊Q8—44no—
306C22⋊Q8—42no—
307C22⋊Q8—42no—
308C22⋊Q8—48no—
309C22⋊Q8—44no—
310C22⋊Q8—44no—
311C22⋊Q8—44no—
312C22⋊Q8—44no—
313C22⋊Q8—44no—
314C22⋊Q8—44no—
315#121—24no—
316#121—28no—
317#121—24no—
318#121—42no—
319#121—42no—
320#121—44no—
321#121—48no—
322#121—44no—
323#121—44no—
324C4×D4—44no—
325C4×D4—44no—
326C4×D4—42no—
327C4×D4—42no—
328C4×D4—42no—
329C4×D4—42no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—42no—
347C2×C4⋊C4—42no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4—44no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4C2×D412yes—
354C2×C4⋊C4C2×D412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—42no—
377C2×C22⋊C4—42no—
378C2×C22⋊C4—44no—
379C2×C22⋊C4—44no—
380C2×C22⋊C4—44no—
381C2×C22⋊C4—44no—
382C2×C22⋊C4—44no—
383C2×C22⋊C4—44no—
384C2×C22⋊C4—44no—
385C2×C22⋊C4—44no—
386C2×C22⋊C4C2×D412yes—
387C2×C22⋊C4C2×D412yes—
388C2×C22⋊C4C2×D412yes—
389C2×C22⋊C4C2×D412yes—
390C2×C42—24no—
391C2×C42—24no—
392C2×C42—82no—
393C2×C42C2×D412yes—
394C2×C42C2412yes—
395#107—28no—
396#106—28no—
397#103—28no—
398#103—28no—
399#103—44no—
400#103—44no—
401#103—44no—
402#102—44no—
403#102—44no—
404#102—44no—
405C22⋊C8—24no—
406C22⋊C8—24no—
407C22⋊C8—44no—
408C22⋊C8—42no—
409C22⋊C8—42no—
410C22⋊C8—42no—
411C22⋊C8—42no—
412#95—24no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423C24—22no—
424C24—22no—
425C24—22no—
426C24—22no—
427C24—22no—
428C24—41no—
429C24—41no—
430C24—41no—
431C24—41no—
432C24—41no—
433C24—41no—
434C24—41no—
435C24—41no—
436C24—42no—
437C24—42no—
438C24—42no—
439C24—42no—
440C24—42no—
441C24—42no—
442C24—42no—
443C24#13514yes—
444C24#13714yes—
445C24C22×D411yescharacteristic
446C24C22×D411yescharacteristic
447C24C22×D412yes—
448C24C22×D411yescharacteristic
449C2×Q8—24no—
450C2×Q8—24no—
451C2×Q8—22no—
452C2×Q8—24no—
453C2×Q8—24no—
454C2×Q8—22no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—81no—
462C2×Q8—81no—
463C2×Q8—88no—
464C2×Q8—88no—
465C2×D4—24no—
466C2×D4—24no—
467C2×D4—24no—
468C2×D4—24no—
469C2×D4—22no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—22no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—48no—
476C2×D4—44no—
477C2×D4—44no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—416no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—48no—
484C2×D4—42no—
485C2×D4—88no—
486C2×D4—84no—
487C2×D4—82no—
488C2×D4—82no—
489C2×D4—816no—
490C2×D4—816no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—22no—
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—24no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—42no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—42no—
531C22×C4—41no—
532C22×C4—41no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—88no—
545C22×C4—88no—
546C22×C4—81no—
547C22×C4—81no—
548C22×C4—81no—
549C22×C4—81no—
550C22×C4—81no—
551C22×C4—81no—
552C22×C4—81no—
553C22×C4—81no—
554C22×C4C22×D412yes—
555C22×C4C22×D412yes—
556C22×C4C22×D412yes—
557C22×C4C22×D411yescharacteristic
558C22×C4C22×D411yescharacteristic
559C22×C4C22×D411yescharacteristic
560C22×C4H(5,𝔽2)14yes—
561C22×C4C2511yescharacteristic
562Q16—88no—
563SD16—88no—
564C2×C8—24no—
565C2×C8—24no—
566C2×C8—24no—
567C2×C8—24no—
568C2×C8—24no—
569C2×C8—24no—
570C2×C8—88no—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—22no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—48no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—44no—
585C4⋊C4—42no—
586C4⋊C4—44no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4—81no—
590C4⋊C4—81no—
591C4⋊C4—82no—
592C4⋊C4—82no—
593C4⋊C4H(5,𝔽2)14yes—
594C4⋊C4H(5,𝔽2)14yes—
595C22⋊C4—42no—
596C22⋊C4—42no—
597C22⋊C4—42no—
598C22⋊C4—42no—
599C22⋊C4—48no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—48no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—48no—
606C22⋊C4—48no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—44no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—82no—
614C22⋊C4—82no—
615C42—24no—
616C42—22no—
617C42—22no—
618C42—84no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—22no—
624C23—21no—
625C23—21no—
626C23—22no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—22no—
632C23—22no—
633C23—21no—
634C23—21no—
635C23—22no—
636C23—21no—
637C23—21no—
638C23—22no—
639C23—21no—
640C23—21no—
641C23—28no—
642C23—28no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—82no—
655C23—82no—
656C23—82no—
657C23—82no—
658C23—82no—
659C23—82no—
660C23—82no—
661C23—82no—
662C23—84no—
663C23—84no—
664C23—84no—
665C23—84no—
666C23—84no—
667C23—84no—
668C23—84no—
669C23#53412yes—
670C23C2×#13512yes—
671C23C2×#13512yes—
672C23C2×#13512yes—
673C23C2×#13714yes—
674C23C2×#13712yes—
675C23C23×D411yescharacteristic
676Q8—44no—
677Q8—44no—
678Q8—44no—
679Q8—44no—
680Q8—84no—
681Q8—84no—
682D4—48no—
683D4—48no—
684D4—44no—
685D4—44no—
686D4—84no—
687D4—88no—
688D4—88no—
689D4—816no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—28no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—22no—
700C2×C4—24no—
701C2×C4—24no—
702C2×C4—21no—
703C2×C4—22no—
704C2×C4—21no—
705C2×C4—22no—
706C2×C4—21no—
707C2×C4—21no—
708C2×C4—22no—
709C2×C4—22no—
710C2×C4—44no—
711C2×C4—48no—
712C2×C4—48no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—42no—
737C2×C4—82no—
738C2×C4—84no—
739C2×C4—82no—
740C2×C4—82no—
741C2×C4—82no—
742C2×C4—84no—
743C2×C4—84no—
744C2×C4—84no—
745C2×C4—162no—
746C2×C4—162no—
747C2×C4#53412yes—
748C2×C4C2×H(5,𝔽2)12yes—
749C2×C4C2×H(5,𝔽2)12yes—
750C2×C4C2×H(5,𝔽2)12yes—
751C8—44no—
752C8—44no—
753C22—22no—
754C22—22no—
755C22—22no—
756C22—22no—
757C22—22no—
758C22—22no—
759C22—22no—
760C22—22no—
761C22—24no—
762C22—22no—
763C22—22no—
764C22—22no—
765C22—22no—
766C22—24no—
767C22—24no—
768C22—41no—
769C22—42no—
770C22—41no—
771C22—41no—
772C22—42no—
773C22—41no—
774C22—42no—
775C22—42no—
776C22—41no—
777C22—41no—
778C22—41no—
779C22—41no—
780C22—88no—
781C22—88no—
782C22—82no—
783C22—82no—
784C22—82no—
785C22—82no—
786C22—82no—
787C22—82no—
788C22—82no—
789C22—168no—
790C22#319014yes—
791C22C2×#53411yescharacteristic
792C22#348411yescharacteristic
793C22#348411yescharacteristic
794C22C22×#13511yescharacteristic
795C22C22×#13711yescharacteristic
796C22#358511yescharacteristic
797C22#358611yescharacteristic
798C4—22no—
799C4—42no—
800C4—42no—
801C4—41no—
802C4—42no—
803C4—41no—
804C4—44no—
805C4—44no—
806C4—82no—
807C4—82no—
808C4—82no—
809C4—82no—
810C4—82no—
811C4#354314yes—
812C2—24no—
813C2—42no—
814C2—42no—
815C2—44no—
816C2—162no—
817C2#3723211yescharacteristic
818C2C2×#319011yescharacteristic
819C2#6075511yescharacteristic
820C2#6156111yescharacteristic
821C2#6156411yescharacteristic
822C2#6157011yescharacteristic
823C2#6157311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2540C2
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. #33100C2semidirect
4. #32033C2semidirect
5. #30713C2semidirect
6. #30709C2semidirect
7. #30508C2semidirect
8. #29626C2semidirect
9. #24380C2semidirect
10. #24379C2semidirect
11. #24003C2semidirect
12. #24002C2semidirect
13. #23921C2semidirect
14. #23919C2semidirect
15. #21738C2semidirect
23. C2×#483C22semidirect
24. C2×#480C22semidirect
25. C2×#467C22semidirect
26. C2×#465C22semidirect
28. C2×#451C22semidirect
29. C2×#448C22semidirect
42. #2487C22semidirect
43. #2417C22semidirect
44. #2417C22semidirect
45. #2409C22semidirect
54. #2042C22semidirect
55. #2042C22semidirect
56. #2036C22semidirect
57. #2035C22semidirect
58. #2034C22semidirect
59. #2033C22semidirect
60. #2015C22semidirect
61. #2015C22semidirect
62. #2001C22semidirect
63. #2001C22semidirect
64. #2000C22semidirect
65. #2000C22semidirect
66. #1928C22semidirect
67. #1927C22semidirect
68. #1919C22semidirect
69. #1918C22semidirect
70. #1893C22semidirect
71. #1892C22semidirect
72. #1874C22semidirect
73. #1874C22semidirect
76. #1872C22semidirect
77. #1872C22semidirect
78. #1869C22semidirect
79. #1869C22semidirect

Maximal subgroups

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

subgroupindex
#350102
C2×#25402
#331002
#320332
#307132
#307092
#305082
#296262
#243802
#243792
#240032
#240022
#239212
#239192
#217382