Finite Group Databasebeta

← #6794863

Subgroups — #6794863

Order 512.

2110 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36153C211yesmaximal, characteristic
2C2×#2538C211yesmaximal, characteristic, complemented
3#32954C211yesmaximal, characteristic, complemented
4#32016C214yesmaximal, complemented
5#30579C214yesmaximal, complemented
6#29891C212yesmaximal, complemented
7#28230C212yesmaximal, complemented
8#27950C211yesmaximal, characteristic, complemented
9#27677C211yesmaximal, characteristic, complemented
10#25348C212yesmaximal, complemented
11#25016C212yesmaximal, complemented
12#24387C212yesmaximal, complemented
13#24120C212yesmaximal, complemented
14#24006C212yesmaximal, complemented
15#22401C211yesmaximal, characteristic, complemented
16#21942C212yesmaximal, complemented
17C4×#448C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C2×#546—21no—
20C22×C22⋊Q8C2212yes—
21C22×C4×Q8C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#484C2214yescomplemented
24C2×#475C2212yescomplemented
25C2×#468C2214yescomplemented
26C2×#448C2211yescharacteristic
27C2×C4×SD16C2212yescomplemented
28C2×#436C2212yes—
29C2×#407C2212yes—
30#2857C2211yescharacteristic
31#2847C2212yes—
32#2547C2211yescharacteristic
33#2538—21no—
34#2538—22no—
35#2538—21no—
36#2538C2212yes—
37#2538C2214yes—
38#2538C2212yes—
39#2537C2211yescharacteristic
40#2486C2212yes—
41#2427—21no—
42#2425—22no—
43#2417—21no—
44#2416C2212yes—
45#2412—22no—
46C2×#396—22no—
47D4×C4⋊C4C2211yescharacteristic
48#2339—21no—
49C4×#121C2211yescharacteristic
50C2×#390—21no—
51C2×#389—21no—
52C2×#384C2211yescharacteristic
53C2×#380C2212yes—
54C2×#380C2212yes—
55#2099C2212yescomplemented
56#2093C2212yescomplemented
57#2083C2214yescomplemented
58#2077C2214yescomplemented
59#2076C2214yescomplemented
60#2036C2214yescomplemented
61#2036C2214yescomplemented
62#2036C2214yescomplemented
63#2034C2214yescomplemented
64#2033C2214yescomplemented
65#2000C2214yescomplemented
66#1990C2212yescomplemented
67#1954C2212yes—
68#1947C2212yescomplemented
69#1894C2214yescomplemented
70#1880C2212yescomplemented
71#1874C2212yes—
72#1874C2211yescharacteristic
73#1872C2214yescomplemented
74#1870C2214yes—
75#1865C2212yescomplemented
76#1865C2214yescomplemented
77#1853C2211yescharacteristic
78#1853C2212yes—
79#1853C2214yescomplemented
80#1852C2212yes—
81#1852C2212yes—
82#1852C2212yes—
83#1852C2214yescomplemented
84#1845C2212yescomplemented
85#1809C2214yescomplemented
86#1809C2214yescomplemented
87#1803C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1787C2212yes—
91#1787C2211yescharacteristic
92#1779C2212yes—
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C22×#41—21no—
96C23×Q8C2311yescharacteristic
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C22×SD16C2312yes—
100C22×M16C2314yes—
101#547—44no—
102#546—48no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×#124—21no—
105C2×#123—22no—
106C2×#123—22no—
107C2×C22⋊Q8—21no—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8—48no—
112C2×C22⋊Q8C2314yes—
113C2×C22⋊Q8C2314yes—
114C2×#121—22no—
115C2×#121—21no—
116C2×#121C2311yescharacteristic
117C2×#121C2312yes—
118C2×#121C2312yes—
119C2×#120—22no—
120C2×C4×Q8—21no—
121C2×C4×Q8—21no—
122C2×C4×Q8—44no—
123C2×C4×Q8C2312yes—
124C2×C4×Q8C2312yes—
125C2×C4×D4—21no—
126C2×C4×D4—21no—
127C2×C4×D4—44no—
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D412yes—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2312yes—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4D411yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2312yes—
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2312yes—
144C22×C22⋊C4—22no—
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4D412yes—
148C22×C42—21no—
149C22×C42C2311yescharacteristic
150#484—48no—
151#475—44no—
152#468—48no—
153#448—24no—
154C4×SD16—44no—
155#436—44no—
156C2×#107C2314yes—
157C2×#107C2314yes—
158C2×#107C2314yes—
159C2×#106C2314yes—
160C2×#106C2312yes—
161C2×C4⋊C8C2312yes—
162C2×#103C2314yes—
163C2×#103C2312yes—
164C2×#103C2312yes—
165C2×#103C2314yes—
166C2×#103C2312yes—
167C2×#102C2314yes—
168C2×#102C2312yes—
169#407—28no—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2311yescharacteristic
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2314yes—
174C2×C22⋊C8C2314yes—
175C2×C22⋊C8C2311yescharacteristic
176C2×C4×C8C2312yes—
177#398—22no—
178#397—22no—
179#397—22no—
180#396—22no—
181#396—24no—
182#396—24no—
183#396—24no—
184#396—24no—
185#394—22no—
186#394—22no—
187#391—21no—
188#391—21no—
189#390—22no—
190#390—24no—
191#390—22no—
192#390C2311yescharacteristic
193#389—21no—
194#389—22no—
195#389—22no—
196#389—24no—
197#389—21no—
198#389C2312yes—
199#389C2311yescharacteristic
200#388—21no—
201#386—22no—
202#386—22no—
203#386—22no—
204#386—21no—
205#386—22no—
206#385—22no—
207#384—21no—
208#384—21no—
209#384C2312yes—
210#384C2311yescharacteristic
211#384C2312yes—
212#381—22no—
213#380—21no—
214#380—22no—
215#380—22no—
216#380—22no—
217#380—22no—
218#380—21no—
219#380C2314yes—
220#380C2312yes—
221#380C2312yes—
222#380C2312yes—
223#380C2314yes—
224#380C2312yes—
225#380C2312yes—
226#380C2311yescharacteristic
227C4×C4⋊C4C2311yescharacteristic
228C4×C22⋊C4—21no—
229C2×#95—22no—
230C2×#95—22no—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2312yes—
236#340C2314yes—
237#340C2314yes—
238#336C2312yes—
239#336C2312yes—
240C25C2×D412yes—
241C2×#41—44no—
242C2×#41—44no—
243C2×#41—44no—
244C22×Q8—24no—
245C22×Q8—21no—
246C22×Q8—21no—
247C22×Q8—22no—
248C22×Q8—22no—
249C22×Q8—42no—
250C22×Q8C2412yes—
251C22×D4—24no—
252C22×D4—21no—
253C22×D4—22no—
254C22×D4—22no—
255C22×D4—24no—
256C22×D4—42no—
257C22×D4C2×D411yescharacteristic
258C22×D4C2×D412yes—
259C22×D4C2×D411yescharacteristic
260C22×D4C2411yescharacteristic
261C23×C4—21no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—22no—
265C23×C4—21no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—21no—
269C23×C4—44no—
270C23×C4—44no—
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D412yes—
274C23×C4C2×D412yes—
275C23×C4C2×D412yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2411yescharacteristic
279C2×SD16—24no—
280C2×SD16—24no—
281C2×SD16—42no—
282C2×M16—28no—
283C2×M16—44no—
284C2×M16—44no—
285C22×C8C2414yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288C4⋊Q8—24no—
289#124—44no—
290#123—48no—
291#123—48no—
292C22⋊Q8—28no—
293C22⋊Q8—28no—
294C22⋊Q8—44no—
295C22⋊Q8—44no—
296C22⋊Q8—44no—
297C22⋊Q8—48no—
298C22⋊Q8—48no—
299C22⋊Q8—44no—
300#121—22no—
301#121—22no—
302#121—44no—
303#121—44no—
304#121—48no—
305#121—44no—
306#120—48no—
307C4×Q8—24no—
308C4×Q8—24no—
309C4×Q8—42no—
310C4×Q8—42no—
311C4×Q8—44no—
312C4×Q8—44no—
313C4×D4—24no—
314C4×D4—24no—
315C4×D4—24no—
316C4×D4—44no—
317C4×D4—42no—
318C4×D4—42no—
319C4×D4—44no—
320C4×D4—44no—
321C4×D4—44no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—48no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—82no—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D411yescharacteristic
350C2×C4⋊C4C2×D412yes—
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2414yes—
357C2×C4⋊C4C2411yescharacteristic
358C2×C22⋊C4—21no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—44no—
375C2×C22⋊C4—48no—
376C2×C22⋊C4—48no—
377C2×C22⋊C4—84no—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C22⋊C4C2×D412yes—
382C2×C42—24no—
383C2×C42—21no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—44no—
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—44no—
392#107—44no—
393#107—44no—
394#106—42no—
395#106—44no—
396C4⋊C8—24no—
397#103—28no—
398#103—24no—
399#103—24no—
400#103—42no—
401#103—44no—
402#102—42no—
403#102—44no—
404C22⋊C8—24no—
405C22⋊C8—22no—
406C22⋊C8—28no—
407C22⋊C8—44no—
408C22⋊C8—44no—
409C22⋊C8#4114yescomplemented
410C4×C8—24no—
411#95—21no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—24no—
416#95—24no—
417#95—21no—
418#95—21no—
419#95—22no—
420#95—22no—
421#95—22no—
422C24—24no—
423C24—24no—
424C24—24no—
425C24—24no—
426C24—21no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24C22×D412yes—
431C24C22×D412yes—
432C24C22×D411yescharacteristic
433#41—816no—
434C2×Q8—24no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8—22no—
440C2×Q8—48no—
441C2×Q8—48no—
442C2×Q8—42no—
443C2×Q8—42no—
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8—42no—
447C2×Q8H(5,𝔽2)14yes—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—21no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—21no—
459C2×D4—416no—
460C2×D4—42no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4—44no—
466C2×D4—42no—
467C2×D4—44no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4#13714yes—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—41no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—42no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—88no—
520C22×C4—88no—
521C22×C4—82no—
522C22×C4—82no—
523C22×C4AGL(1,ℤ/8)14yes—
524C22×C4C22×D412yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C2×#4112yes—
532C22×C42−1+412yes—
533C22×C4C2511yescharacteristic
534SD16—48no—
535M16—88no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—24no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—22no—
544C2×C8C2×#4114yes—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—48no—
559C4⋊C4—48no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—81no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—42no—
587C22⋊C4—44no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—81no—
592C22⋊C4—82no—
593C22⋊C4—84no—
594C22⋊C4—84no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—44no—
599C42—44no—
600C42—42no—
601C42H(5,𝔽2)14yes—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—48no—
620C23—48no—
621C23—48no—
622C23—48no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23#54712yes—
634C23C2×AGL(1,ℤ/8)12yes—
635C23C2×#13714yes—
636C23#57812yes—
637C23C23×D411yescharacteristic
638Q8—24no—
639Q8—24no—
640Q8—48no—
641Q8—42no—
642Q8—42no—
643Q8—84no—
644D4—28no—
645D4—48no—
646D4—44no—
647D4—42no—
648D4—42no—
649D4—88no—
650D4—84no—
651D4—164no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—28no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—44no—
672C2×C4—48no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—88no—
705C2×C4—88no—
706C2×C4—84no—
707C2×C4—164no—
708C2×C4#53412yes—
709C2×C4#53412yes—
710C2×C4#54712yes—
711C2×C4C2×AGL(1,ℤ/8)12yes—
712C2×C4C2×AGL(1,ℤ/8)12yes—
713C2×C4C2×#13712yes—
714C2×C4C22×#4111yescharacteristic
715C2×C4C2×H(5,𝔽2)12yes—
716C2×C4C2×H(5,𝔽2)12yes—
717C2×C4C2×2−1+411yescharacteristic
718C8—24no—
719C8—44no—
720C8—42no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—816no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22—81no—
746C22—81no—
747C22—81no—
748C22—81no—
749C22#335314yes—
750C22C2×#53411yescharacteristic
751C22C2×#54711yescharacteristic
752C22#348411yescharacteristic
753C22C22×AGL(1,ℤ/8)11yescharacteristic
754C22C22×#13711yescharacteristic
755C22C2×#57811yescharacteristic
756C22#358511yescharacteristic
757C4—22no—
758C4—22no—
759C4—22no—
760C4—42no—
761C4—42no—
762C4—44no—
763C4—41no—
764C4—81no—
765C4—81no—
766C4—82no—
767C4—82no—
768C4—84no—
769C4—81no—
770C4—82no—
771C4#319314yes—
772C4#351912yes—
773C4#353612yes—
774C2—24no—
775C2—44no—
776C2—82no—
777C2—161no—
778C2#3891611yescharacteristic
779C2C2×#319311yescharacteristic
780C2#6076411yescharacteristic
781C2C2×#335311yescharacteristic
782C2#6125411yescharacteristic
783C2#6158711yescharacteristic
784C2#6160211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36153C2
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×#2538C2semidirect
3. #32954C2semidirect
4. #32016C2semidirect
5. #30579C2semidirect
6. #29891C2semidirect
7. #28230C2semidirect
8. #27950C2semidirect
9. #27677C2semidirect
10. #25348C2semidirect
11. #25016C2semidirect
12. #24387C2semidirect
13. #24120C2semidirect
14. #24006C2semidirect
15. #22401C2semidirect
16. #21942C2semidirect
17. C4×#448C2semidirect
23. C2×#484C22semidirect
24. C2×#475C22semidirect
25. C2×#468C22semidirect
27. C2×C4×SD16C22semidirect
55. #2099C22semidirect
56. #2093C22semidirect
57. #2083C22semidirect
58. #2077C22semidirect
59. #2076C22semidirect
60. #2036C22semidirect
61. #2036C22semidirect
62. #2036C22semidirect
63. #2034C22semidirect
64. #2033C22semidirect
65. #2000C22semidirect
66. #1990C22semidirect
68. #1947C22semidirect
69. #1894C22semidirect
70. #1880C22semidirect
73. #1872C22semidirect
75. #1865C22semidirect
76. #1865C22semidirect
79. #1853C22semidirect
83. #1852C22semidirect
84. #1845C22semidirect
85. #1809C22semidirect
86. #1809C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect
93. C4×#103C22semidirect
409. C22⋊C8#41semidirect

Maximal subgroups

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

subgroupindex
#361532
C2×#25382
#329542
#320162
#305792
#298912
#282302
#279502
#276772
#253482
#250162
#243872
#241202
#240062
#224012
#219422
C4×#4482