Finite Group Databasebeta

← #6644491

Subgroups — #6644491

Order 512.

2330 conjugacy classes of subgroups.

The subgroup lattice has 841 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35000C211yesmaximal, characteristic, complemented
2C2×#2535C211yesmaximal, characteristic, complemented
3#33004C212yesmaximal, complemented
4#32002C214yesmaximal, complemented
5#31396C214yesmaximal, complemented
6#30567C214yesmaximal, complemented
7#30400C214yesmaximal, complemented
8#29912C212yesmaximal, complemented
9#27603C211yesmaximal, characteristic, complemented
10#24553C212yesmaximal, complemented
11#24378C212yesmaximal, complemented
12#24005C211yesmaximal, characteristic, complemented
13#24005C211yesmaximal, characteristic, complemented
14#23918C211yesmaximal, characteristic, complemented
15#21738C211yesmaximal, characteristic, complemented
16C2×#534—21no—
17C22×#121C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×#121C2211yescharacteristic, complemented
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic, complemented
22C2×#481C2212yes—
23C2×#481C2212yescomplemented
24C2×#466C2214yescomplemented
25C2×#447C2212yes—
26C2×#447C2212yescomplemented
27C22×C22⋊C8C2212yescomplemented
28#2854C2212yes—
29#2847C2212yes—
30#2618—21no—
31#2617—21no—
32#2543—22no—
33#2535—22no—
34#2535—22no—
35#2535C2214yes—
36#2535C2214yescomplemented
37#2534—22no—
38#2486C2212yescomplemented
39#2416C2212yescomplemented
40#2416C2212yescomplemented
41#2408C2212yescomplemented
42C2×#397—21no—
43C2×#392—21no—
44#2308—21no—
45C2×#386—21no—
46C2×#386—21no—
47C2×#382C2211yescharacteristic, complemented
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic, complemented
51#2101C2214yescomplemented
52#2092C2214yescomplemented
53#2085C2214yescomplemented
54#2077C2214yescomplemented
55#2076C2214yescomplemented
56#2073C2214yescomplemented
57#2034C2214yescomplemented
58#2034C2214yescomplemented
59#2034C2214yescomplemented
60#2033C2214yescomplemented
61#1999C2214yescomplemented
62#1999C2214yescomplemented
63#1893C2214yescomplemented
64#1893C2214yescomplemented
65#1879C2214yescomplemented
66#1879C2214yescomplemented
67#1874C2212yes—
68#1874C2212yes—
69#1874C2212yescomplemented
70#1874C2212yescomplemented
71#1869C2214yescomplemented
72#1869C2214yescomplemented
73#1864C2214yescomplemented
74#1864C2214yescomplemented
75#1853C2212yescomplemented
76#1853C2212yescomplemented
77#1852C2212yescomplemented
78#1852C2212yescomplemented
79#1824C2212yescomplemented
80#1824C2212yescomplemented
81#1817C2212yescomplemented
82#1807C2214yescomplemented
83#1786C2212yescomplemented
84#1786C2212yescomplemented
85#1779C2211yescharacteristic
86#1779C2211yescharacteristic
87C23×D4—21no—
88C23×D4—21no—
89C23×D4—21no—
90C23×D4D411yescharacteristic
91C23×D4C2311yescharacteristic
92C23×D4C2311yescharacteristic
93C24×C4—21no—
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C22×D8C2314yes—
97C23×C8C2314yes—
98#534—48no—
99C2×#123—22no—
100C2×#123—22no—
101C2×#121—22no—
102C2×#121—22no—
103C2×#121—21no—
104C2×#121—21no—
105C2×#121—21no—
106C2×#121—21no—
107C2×#121—22no—
108C2×#121—44no—
109C2×#121—44no—
110C2×#121—44no—
111C2×#121C2312yes—
112C2×#121C2312yes—
113C2×#121C2312yes—
114C2×#121C2314yes—
115C2×#121C2312yes—
116C2×#121C2312yes—
117C2×#121C2312yes—
118C2×#120—22no—
119C2×#120—22no—
120C2×C4×D4—22no—
121C2×C4×D4—44no—
122C2×C4×D4—44no—
123C2×C4×D4D412yes—
124C2×C4×D4D412yes—
125C2×C4×D4C2314yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2312yes—
128C22×C4⋊C4D411yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4D411yescharacteristic
143C22×C22⋊C4D411yescharacteristic
144C22×C42C2311yescharacteristic
145#481—44no—
146#481—44no—
147#466—48no—
148#447—44no—
149#447—44no—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×#106C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×C22⋊C8—44no—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167#398—22no—
168#397—24no—
169#397—24no—
170#397—22no—
171#396—22no—
172#396—22no—
173#394—22no—
174#394—22no—
175#394—22no—
176#392—24no—
177#392—24no—
178#392—22no—
179#390C2312yes—
180#390C2312yes—
181#389C2312yes—
182#389C2312yes—
183#388—22no—
184#388—22no—
185#386—22no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#386—22no—
191#386—24no—
192#386—24no—
193#386—24no—
194#386—24no—
195#382—22no—
196#382C2314yes—
197#381—22no—
198#380—21no—
199#380—21no—
200#380—21no—
201#380—21no—
202#380—22no—
203#380C2312yes—
204#380C2314yes—
205#380C2312yes—
206#380C2312yes—
207#380C2312yes—
208#380C2312yes—
209#380C2312yes—
210#379—22no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215C2×#95—21no—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2314yes—
223#336C2314yes—
224C25—21no—
225C25—21no—
226C25C2×D411yescharacteristic
227C25C2×D411yescharacteristic
228C22×D4—24no—
229C22×D4—24no—
230C22×D4—24no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—24no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—21no—
239C22×D4—21no—
240C22×D4—24no—
241C22×D4—42no—
242C22×D4—42no—
243C22×D4—42no—
244C22×D4—42no—
245C22×D4—42no—
246C22×D4—44no—
247C22×D4—44no—
248C22×D4—44no—
249C22×D4—44no—
250C22×D4—44no—
251C22×D4—44no—
252C22×D4—44no—
253C22×D4—82no—
254C22×D4—82no—
255C22×D4C2×D412yes—
256C22×D4C2×D412yes—
257C22×D4C2412yes—
258C22×D4C2412yes—
259C23×C4—24no—
260C23×C4—24no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—24no—
268C23×C4—42no—
269C23×C4—42no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—44no—
273C23×C4—82no—
274C23×C4—82no—
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D412yes—
282C23×C4C2411yescharacteristic
283C23×C4C2411yescharacteristic
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C2×D8—28no—
287C2×D8—44no—
288C2×D8—44no—
289C22×C8—44no—
290C22×C8—44no—
291C22×C8—44no—
292C22×C8C2414yes—
293C22×C8C2414yes—
294#123—48no—
295#123—48no—
296#121—24no—
297#121—28no—
298#121—24no—
299#121—24no—
300#121—24no—
301#121—42no—
302#121—44no—
303#121—42no—
304#121—42no—
305#121—42no—
306#121—44no—
307#121—44no—
308#121—44no—
309#121—44no—
310#121—48no—
311#121—48no—
312#121—48no—
313#121—44no—
314#121—44no—
315#120—48no—
316#120—48no—
317C4×D4—44no—
318C4×D4—44no—
319C4×D4—44no—
320C4×D4—44no—
321C4×D4—42no—
322C4×D4—42no—
323C4×D4—42no—
324C4×D4—42no—
325C4×D4—48no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—42no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4C2×D412yes—
342C2×C4⋊C4C2×D412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—24no—
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—44no—
374C2×C22⋊C4—44no—
375C2×C22⋊C4—82no—
376C2×C22⋊C4—82no—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C42—24no—
382C2×C42C2×D412yes—
383C2×C42C2412yes—
384#107—44no—
385#106—44no—
386#106—44no—
387#102—28no—
388#102—44no—
389#102—44no—
390#102—44no—
391#102—44no—
392#102—44no—
393C22⋊C8—24no—
394C22⋊C8—24no—
395C22⋊C8—44no—
396C22⋊C8—42no—
397C22⋊C8—42no—
398C22⋊C8—42no—
399C22⋊C8—42no—
400#95—22no—
401#95—24no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—24no—
406#95—24no—
407#95—22no—
408#95—22no—
409#95—22no—
410#95—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—24no—
416C24—22no—
417C24—22no—
418C24—41no—
419C24—41no—
420C24—41no—
421C24—41no—
422C24—41no—
423C24—41no—
424C24—41no—
425C24—41no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24—81no—
436C24—81no—
437C24—81no—
438C24—81no—
439C24#13514yes—
440C24AGL(1,ℤ/8)14yes—
441C24C22×D411yescharacteristic
442C24C22×D411yescharacteristic
443C24C22×D412yes—
444C24C22×D411yescharacteristic
445C2×D4—24no—
446C2×D4—24no—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—24no—
454C2×D4—22no—
455C2×D4—24no—
456C2×D4—24no—
457C2×D4—416no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—416no—
463C2×D4—44no—
464C2×D4—48no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—44no—
473C2×D4—44no—
474C2×D4—48no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—42no—
478C2×D4—81no—
479C2×D4—81no—
480C2×D4—88no—
481C2×D4—82no—
482C2×D4—84no—
483C2×D4—82no—
484C2×D4—82no—
485C2×D4—82no—
486C2×D4—82no—
487C2×D4—82no—
488C2×D4—816no—
489C2×D4—816no—
490C2×D4—816no—
491C2×D4H(5,𝔽2)14yes—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
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—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—42no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—42no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—41no—
531C22×C4—48no—
532C22×C4—42no—
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—42no—
545C22×C4—42no—
546C22×C4—88no—
547C22×C4—88no—
548C22×C4—84no—
549C22×C4—84no—
550C22×C4—81no—
551C22×C4—81no—
552C22×C4—81no—
553C22×C4—81no—
554C22×C4—816no—
555C22×C4C22×D412yes—
556C22×C4C22×D412yes—
557C22×C4C22×D411yescharacteristic
558C22×C4C22×D412yes—
559C22×C4C22×D411yescharacteristic
560C22×C4C22×D411yescharacteristic
561C22×C4H(5,𝔽2)14yes—
562C22×C4C2511yescharacteristic
563D8—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—22no—
573C4⋊C4—22no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—24no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—44no—
585C4⋊C4—44no—
586C4⋊C4—42no—
587C4⋊C4—81no—
588C4⋊C4—81no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C22⋊C4—48no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—48no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C22⋊C4—82no—
609C22⋊C4—82no—
610C22⋊C4—84no—
611C22⋊C4—82no—
612C42—24no—
613C42—22no—
614C42—22no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—22no—
621C23—21no—
622C23—21no—
623C23—22no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—22no—
628C23—21no—
629C23—22no—
630C23—21no—
631C23—21no—
632C23—22no—
633C23—21no—
634C23—22no—
635C23—21no—
636C23—21no—
637C23—28no—
638C23—28no—
639C23—24no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—48no—
645C23—48no—
646C23—48no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23—42no—
657C23—42no—
658C23—42no—
659C23—42no—
660C23—82no—
661C23—82no—
662C23—82no—
663C23—82no—
664C23—82no—
665C23—82no—
666C23—82no—
667C23—82no—
668C23—84no—
669C23—84no—
670C23—84no—
671C23—84no—
672C23—84no—
673C23—84no—
674C23—84no—
675C23—162no—
676C23—162no—
677C23—162no—
678C23—162no—
679C23#53412yes—
680C23C2×#13512yes—
681C23C2×#13512yes—
682C23C2×#13512yes—
683C23C2×AGL(1,ℤ/8)14yes—
684C23C2×AGL(1,ℤ/8)12yes—
685C23C23×D411yescharacteristic
686D4—28no—
687D4—48no—
688D4—48no—
689D4—48no—
690D4—44no—
691D4—44no—
692D4—44no—
693D4—84no—
694D4—88no—
695D4—88no—
696D4—816no—
697D4—88no—
698D4—88no—
699D4—164no—
700D4—164no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—28no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—22no—
707C2×C4—22no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—22no—
711C2×C4—22no—
712C2×C4—21no—
713C2×C4—21no—
714C2×C4—22no—
715C2×C4—21no—
716C2×C4—21no—
717C2×C4—22no—
718C2×C4—22no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
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—42no—
738C2×C4—42no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—84no—
744C2×C4—82no—
745C2×C4—82no—
746C2×C4—82no—
747C2×C4—82no—
748C2×C4—816no—
749C2×C4—84no—
750C2×C4—84no—
751C2×C4—84no—
752C2×C4—84no—
753C2×C4—162no—
754C2×C4—162no—
755C2×C4#53412yes—
756C2×C4C2×H(5,𝔽2)12yes—
757C2×C4C2×H(5,𝔽2)12yes—
758C2×C4#58512yes—
759C8—44no—
760C8—44no—
761C22—22no—
762C22—22no—
763C22—22no—
764C22—22no—
765C22—22no—
766C22—22no—
767C22—22no—
768C22—22no—
769C22—24no—
770C22—22no—
771C22—22no—
772C22—24no—
773C22—22no—
774C22—22no—
775C22—24no—
776C22—42no—
777C22—41no—
778C22—41no—
779C22—41no—
780C22—42no—
781C22—41no—
782C22—42no—
783C22—41no—
784C22—41no—
785C22—42no—
786C22—41no—
787C22—41no—
788C22—44no—
789C22—44no—
790C22—44no—
791C22—88no—
792C22—88no—
793C22—816no—
794C22—82no—
795C22—82no—
796C22—82no—
797C22—82no—
798C22—82no—
799C22—82no—
800C22—82no—
801C22—82no—
802C22—82no—
803C22—82no—
804C22—82no—
805C22—168no—
806C22#318814yes—
807C22C2×#53411yescharacteristic
808C22#348411yescharacteristic
809C22#348511yescharacteristic
810C22C22×#13511yescharacteristic
811C22C22×AGL(1,ℤ/8)11yescharacteristic
812C22#358511yescharacteristic
813C22#358511yescharacteristic
814C4—22no—
815C4—42no—
816C4—42no—
817C4—41no—
818C4—42no—
819C4—41no—
820C4—82no—
821C4—82no—
822C4—82no—
823C4—82no—
824C4—82no—
825C4—82no—
826C4#353414yes—
827C2—24no—
828C2—42no—
829C2—44no—
830C2—42no—
831C2—84no—
832C2—162no—
833C2#3711711yescharacteristic
834C2C2×#318811yescharacteristic
835C2#6075311yescharacteristic
836C2#6156111yescharacteristic
837C2#6156911yescharacteristic
838C2#6169911yescharacteristic
839C2#6170711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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. #35000C2semidirect
2. C2×#2535C2semidirect
3. #33004C2semidirect
4. #32002C2semidirect
5. #31396C2semidirect
6. #30567C2semidirect
7. #30400C2semidirect
8. #29912C2semidirect
9. #27603C2semidirect
10. #24553C2semidirect
11. #24378C2semidirect
12. #24005C2semidirect
13. #24005C2semidirect
14. #23918C2semidirect
15. #21738C2semidirect
19. C22×#121C22semidirect
21. C22×C4×D4C22semidirect
23. C2×#481C22semidirect
24. C2×#466C22semidirect
26. C2×#447C22semidirect
27. C22×C22⋊C8C22semidirect
36. #2535C22semidirect
38. #2486C22semidirect
39. #2416C22semidirect
40. #2416C22semidirect
41. #2408C22semidirect
47. C2×#382C22semidirect
50. C2×#380C22semidirect
51. #2101C22semidirect
52. #2092C22semidirect
53. #2085C22semidirect
54. #2077C22semidirect
55. #2076C22semidirect
56. #2073C22semidirect
57. #2034C22semidirect
58. #2034C22semidirect
59. #2034C22semidirect
60. #2033C22semidirect
61. #1999C22semidirect
62. #1999C22semidirect
63. #1893C22semidirect
64. #1893C22semidirect
65. #1879C22semidirect
66. #1879C22semidirect
69. #1874C22semidirect
70. #1874C22semidirect
71. #1869C22semidirect
72. #1869C22semidirect
73. #1864C22semidirect
74. #1864C22semidirect
75. #1853C22semidirect
76. #1853C22semidirect
77. #1852C22semidirect
78. #1852C22semidirect
79. #1824C22semidirect
80. #1824C22semidirect
81. #1817C22semidirect
82. #1807C22semidirect
83. #1786C22semidirect
84. #1786C22semidirect

Maximal subgroups

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

subgroupindex
#350002
C2×#25352
#330042
#320022
#313962
#305672
#304002
#299122
#276032
#245532
#243782
#240052
#239182
#217382