Finite Group Databasebeta

← #6470522

Subgroups — #6470522

Order 512.

2194 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35000C211yesmaximal, characteristic
2C2×#2352C211yesmaximal, characteristic, complemented
3#33096C212yesmaximal, complemented
4#32981C212yesmaximal, complemented
5#29912C212yesmaximal, complemented
6#29891C212yesmaximal, complemented
7#26212C214yesmaximal, complemented
8#26140C214yesmaximal, complemented
9#24945C214yesmaximal, complemented
10#24873C214yesmaximal, complemented
11#21938C211yesmaximal, characteristic, complemented
12#21758C211yesmaximal, characteristic, complemented
13#21738C211yesmaximal, characteristic, complemented
14C2×#1874C211yesmaximal, characteristic, complemented
15C2×#1852C211yesmaximal, characteristic, complemented
16C2×#534—21no—
17C22×#121C2211yescharacteristic
18C22×C4×D4C2211yescharacteristic
19C22×#117C2211yescharacteristic, complemented
20C23×C4⋊C4C2211yescharacteristic
21C2×#482C2214yescomplemented
22C22×#107C2212yescomplemented
23C22×#102C2212yescomplemented
24C22×C22⋊C8C2211yescharacteristic
25C22×C22⋊C8C2211yescharacteristic
26#2854C2212yes—
27#2847C2212yes—
28#2618—21no—
29#2617—21no—
30#2543—22no—
31#2534—22no—
32#2486C2212yes—
33#2416C2212yes—
34#2416C2212yes—
35#2408C2212yes—
36#2352—22no—
37#2352—22no—
38#2352C2214yes—
39#2352C2214yescomplemented
40#2308—21no—
41C2×#388—21no—
42C2×#387—21no—
43C2×#386—21no—
44C2×#382C2211yescharacteristic, complemented
45C2×#380C2211yescharacteristic
46C2×#380C2211yescharacteristic
47C2×#380C2211yescharacteristic, complemented
48C2×C4×C4⋊C4C2211yescharacteristic, complemented
49C2×C4×C22⋊C4—21no—
50#2101C2214yescomplemented
51#2092C2214yescomplemented
52#2085C2214yescomplemented
53#2077C2214yescomplemented
54#2076C2214yescomplemented
55#2073C2214yescomplemented
56#2034C2214yescomplemented
57#2033C2214yescomplemented
58#1926C2214yescomplemented
59#1925C2214yescomplemented
60#1921C2214yescomplemented
61#1920C2214yescomplemented
62#1893C2214yescomplemented
63#1875C2214yescomplemented
64#1874C2212yes—
65#1874C2212yes—
66#1874C2212yes—
67#1874C2212yes—
68#1874C2214yescomplemented
69#1869C2214yes—
70#1869C2214yescomplemented
71#1854C2214yescomplemented
72#1853C2212yescomplemented
73#1853C2212yescomplemented
74#1853C2212yescomplemented
75#1853C2212yescomplemented
76#1852C2214yescomplemented
77#1852C2212yescomplemented
78#1852C2212yescomplemented
79#1825C2214yescomplemented
80#1823C2212yescomplemented
81#1817C2212yescomplemented
82#1807C2214yescomplemented
83#1786C2212yescomplemented
84#1779C2212yescomplemented
85C2×#340C2212yescomplemented
86C2×#340C2212yescomplemented
87C23×D4—21no—
88C23×D4D411yescharacteristic
89C23×D4C2311yescharacteristic
90C24×C4—21no—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C23×C8C2312yes—
94C23×C8C2312yes—
95#534—48no—
96C2×#123—22no—
97C2×#123—22no—
98C2×#121—22no—
99C2×#121—22no—
100C2×#121—21no—
101C2×#121—21no—
102C2×#121—24no—
103C2×#121—24no—
104C2×#121C2312yes—
105C2×#121C2312yes—
106C2×#121C2312yes—
107C2×#121C2312yes—
108C2×#120—22no—
109C2×#120—22no—
110C2×C4×D4—24no—
111C2×C4×D4—24no—
112C2×C4×D4D412yes—
113C2×C4×D4D412yes—
114C2×C4×D4C2312yes—
115C2×C4×D4C2312yes—
116C2×#117—22no—
117C2×#117—44no—
118C2×#117C2314yes—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—44no—
123C22×C4⋊C4D411yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4D411yescharacteristic
139C22×C22⋊C4D411yescharacteristic
140C22×C42—21no—
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143#482—48no—
144C2×#107—44no—
145C2×#107C2314yes—
146C2×#107C2314yes—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×#102—44no—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×C22⋊C8—24no—
155C2×C22⋊C8—24no—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2314yes—
161C2×C22⋊C8C2314yes—
162#398—22no—
163#397—22no—
164#396—22no—
165#396—22no—
166#394—22no—
167#394—22no—
168#394—22no—
169#392—22no—
170#390C2312yes—
171#390C2312yes—
172#389C2312yes—
173#389C2312yes—
174#388—24no—
175#388—24no—
176#388—22no—
177#388—22no—
178#387—24no—
179#387—24no—
180#386—24no—
181#386—24no—
182#386—22no—
183#386—22no—
184#386—22no—
185#386—22no—
186#386—22no—
187#386—22no—
188#382—22no—
189#382C2314yes—
190#381—22no—
191#380—21no—
192#380—21no—
193#380—22no—
194#380—21no—
195#380—21no—
196#380C2312yes—
197#380C2312yes—
198#380C2312yes—
199#380C2314yes—
200#380C2312yes—
201#380C2312yes—
202#380C2312yes—
203#379—22no—
204C4×C4⋊C4—22no—
205C4×C4⋊C4C2314yes—
206C4×C22⋊C4—24no—
207C4×C22⋊C4—24no—
208C2×#95—21no—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214#340C2314yes—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2314yes—
223#336C2314yes—
224C25—21no—
225C25C2×D411yescharacteristic
226C25C2×D411yescharacteristic
227C22×D4—24no—
228C22×D4—24no—
229C22×D4—24no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—21no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—42no—
238C22×D4—42no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4C2×D412yes—
243C22×D4C2×D412yes—
244C22×D4C2412yes—
245C23×C4—21no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4—82no—
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D412yes—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4#4114yes—
271C23×C4#4114yes—
272C23×C4C2412yes—
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275C23×C4C2411yescharacteristic
276C22×C8—24no—
277C22×C8—24no—
278C22×C8—42no—
279C22×C8—42no—
280C22×C8—42no—
281C22×C8—42no—
282C22×C8C2414yes—
283C22×C8C2414yes—
284#123—48no—
285#123—48no—
286#121—24no—
287#121—24no—
288#121—24no—
289#121—24no—
290#121—48no—
291#121—48no—
292#121—44no—
293#121—44no—
294#121—44no—
295#121—44no—
296#120—48no—
297#120—48no—
298C4×D4—28no—
299C4×D4—28no—
300C4×D4—24no—
301C4×D4—24no—
302C4×D4—24no—
303C4×D4—24no—
304#117—28no—
305#117—44no—
306#117—48no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—42no—
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⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4C2×D412yes—
335C2×C4⋊C4C2×D412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C22⋊C4—24no—
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—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
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—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—82no—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C22⋊C4C2×D412yes—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—44no—
375C2×C42—82no—
376C2×C42C2×D412yes—
377C2×C42C2412yes—
378#107—28no—
379#107—44no—
380#106—44no—
381#106—44no—
382#102—28no—
383#102—44no—
384#102—44no—
385#102—44no—
386C22⋊C8—24no—
387C22⋊C8—24no—
388C22⋊C8—24no—
389C22⋊C8—24no—
390C22⋊C8—44no—
391C22⋊C8—44no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—22no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—24no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404C24—22no—
405C24—22no—
406C24—22no—
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—81no—
420C24—81no—
421C24—81no—
422C24—81no—
423C24#12314yes—
424C24#13514yes—
425C24AGL(1,ℤ/8)14yes—
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428C24C22×D411yescharacteristic
429C24C22×D411yescharacteristic
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—24no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—48no—
441C2×D4—416no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—42no—
451C2×D4—84no—
452C2×D4—81no—
453C2×D4—81no—
454C2×D4—82no—
455C2×D4—82no—
456C2×D4—82no—
457C2×D4—82no—
458C2×D4—816no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—41no—
490C22×C4—42no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—42no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—42no—
502C22×C4—42no—
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—44no—
515C22×C4—44no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—82no—
520C22×C4—82no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—816no—
526C22×C4#12314yes—
527C22×C4#12314yes—
528C22×C4#12314yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C2×#4112yes—
536C22×C4C2×#4112yes—
537C22×C4C2×#4112yes—
538C22×C4C2×#4112yes—
539C22×C4C2×#4112yes—
540C22×C4C2×#4112yes—
541C22×C4C2511yescharacteristic
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—48no—
549C2×C8—84no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—81no—
571C4⋊C4—81no—
572C4⋊C4H(5,𝔽2)14yes—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—48no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—84no—
593C42—24no—
594C42—22no—
595C42—22no—
596C42—48no—
597C42—84no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
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—162no—
641C23—162no—
642C23—162no—
643C23—162no—
644C23#482116yescomplemented
645C23C2×#12312yes—
646C23C2×#12312yes—
647C23C2×#12312yes—
648C23C2×#13512yes—
649C23C2×#13512yes—
650C23C2×#13512yes—
651C23C2×AGL(1,ℤ/8)12yes—
652C23C2×AGL(1,ℤ/8)12yes—
653C23C2×AGL(1,ℤ/8)12yes—
654C23C23×D411yescharacteristic
655D4—48no—
656D4—48no—
657D4—44no—
658D4—44no—
659D4—84no—
660D4—88no—
661D4—88no—
662D4—164no—
663D4—164no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—24no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—48no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—48no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—44no—
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—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—88no—
717C2×C4—88no—
718C2×C4—84no—
719C2×C4—84no—
720C2×C4—84no—
721C2×C4—84no—
722C2×C4—162no—
723C2×C4—162no—
724C2×C4C2×#12312yes—
725C2×C4C2×#12312yes—
726C2×C4C2×#12312yes—
727C2×C4C22×#4111yescharacteristic
728C2×C4C22×#4111yescharacteristic
729C2×C4C2×H(5,𝔽2)12yes—
730C2×C4#58512yes—
731C8—44no—
732C8—44no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—416no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—42no—
758C22—42no—
759C22—88no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—168no—
768C22C2×#48214yes—
769C22C2×#48214yes—
770C22C2×#48214yes—
771C22C22×#12311yescharacteristic
772C22#348411yescharacteristic
773C22#348511yescharacteristic
774C22C22×#13511yescharacteristic
775C22C22×AGL(1,ℤ/8)11yescharacteristic
776C22#358511yescharacteristic
777C22#358611yescharacteristic
778C4—22no—
779C4—22no—
780C4—22no—
781C4—42no—
782C4—42no—
783C4—44no—
784C4—42no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4#345912yes—
792C4#350512yes—
793C2—24no—
794C2—24no—
795C2—24no—
796C2—82no—
797C2—162no—
798C2#3498311yescharacteristic
799C2C22×#48211yescharacteristic
800C2#6051711yescharacteristic
801C2#6156411yescharacteristic
802C2#6156911yescharacteristic
803C2#6169911yescharacteristic
804C2#6170411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35000C2
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
2. C2×#2352C2semidirect
3. #33096C2semidirect
4. #32981C2semidirect
5. #29912C2semidirect
6. #29891C2semidirect
7. #26212C2semidirect
8. #26140C2semidirect
9. #24945C2semidirect
10. #24873C2semidirect
11. #21938C2semidirect
12. #21758C2semidirect
13. #21738C2semidirect
14. C2×#1874C2semidirect
15. C2×#1852C2semidirect
19. C22×#117C22semidirect
21. C2×#482C22semidirect
22. C22×#107C22semidirect
23. C22×#102C22semidirect
39. #2352C22semidirect
44. C2×#382C22semidirect
47. C2×#380C22semidirect
48. C2×C4×C4⋊C4C22semidirect
50. #2101C22semidirect
51. #2092C22semidirect
52. #2085C22semidirect
53. #2077C22semidirect
54. #2076C22semidirect
55. #2073C22semidirect
56. #2034C22semidirect
57. #2033C22semidirect
58. #1926C22semidirect
59. #1925C22semidirect
60. #1921C22semidirect
61. #1920C22semidirect
62. #1893C22semidirect
63. #1875C22semidirect
68. #1874C22semidirect
70. #1869C22semidirect
71. #1854C22semidirect
72. #1853C22semidirect
73. #1853C22semidirect
74. #1853C22semidirect
75. #1853C22semidirect
76. #1852C22semidirect
77. #1852C22semidirect
78. #1852C22semidirect
79. #1825C22semidirect
80. #1823C22semidirect
81. #1817C22semidirect
82. #1807C22semidirect
83. #1786C22semidirect
84. #1779C22semidirect
85. C2×#340C22semidirect
86. C2×#340C22semidirect
644. C23#482semidirect

Maximal subgroups

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

subgroupindex
#350002
C2×#23522
#330962
#329812
#299122
#298912
#262122
#261402
#249452
#248732
#219382
#217582
#217382
C2×#18742
C2×#18522