Finite Group Databasebeta

← #6848399

Subgroups — #6848399

Order 512.

2072 conjugacy classes of subgroups.

The subgroup lattice has 785 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#31400C214yesmaximal, complemented
6#29595C212yesmaximal, complemented
7#28150C212yesmaximal, complemented
8#27960C211yesmaximal, characteristic, complemented
9#27644C211yesmaximal, characteristic, complemented
10#27601C212yesmaximal, complemented
11#25348C212yesmaximal, complemented
12#24971C212yesmaximal, complemented
13#24558C212yesmaximal, complemented
14#24120C212yesmaximal, complemented
15#22401C211yesmaximal, characteristic, complemented
16#21765C212yesmaximal, complemented
17C4×#448C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C2×#546—21no—
20C22×C22⋊Q8C2212yes—
21C22×C4×Q8C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#480C2212yes—
24C2×#475C2212yescomplemented
25C2×#448C2211yescharacteristic
26C2×C4×SD16C2212yescomplemented
27C2×#436C2212yes—
28C2×#407C2212yes—
29#2857C2211yescharacteristic
30#2847C2212yes—
31#2547C2211yescharacteristic
32#2538—21no—
33#2538—22no—
34#2538—21no—
35#2538C2212yes—
36#2538C2214yes—
37#2538C2212yes—
38#2537C2211yescharacteristic
39#2486C2212yes—
40#2427—21no—
41#2425—22no—
42#2417—21no—
43#2416C2212yes—
44#2412—22no—
45C2×#396—22no—
46D4×C4⋊C4C2211yescharacteristic
47#2339—21no—
48C4×#121C2211yescharacteristic
49C2×#390—21no—
50C2×#389—21no—
51C2×#384C2211yescharacteristic
52C2×#380C2212yes—
53C2×#380C2212yes—
54#2099C2214yescomplemented
55#2083C2212yescomplemented
56#2077C2214yescomplemented
57#2077C2214yescomplemented
58#2076C2214yescomplemented
59#2071C2212yescomplemented
60#2036C2214yescomplemented
61#2036C2214yescomplemented
62#2034C2214yescomplemented
63#2000C2214yescomplemented
64#2000C2214yescomplemented
65#1990C2212yescomplemented
66#1954C2212yes—
67#1947C2212yescomplemented
68#1895C2214yescomplemented
69#1894C2214yescomplemented
70#1894C2214yescomplemented
71#1880C2212yescomplemented
72#1874C2211yescharacteristic
73#1872C2214yescomplemented
74#1872C2214yescomplemented
75#1870C2214yes—
76#1865C2212yescomplemented
77#1865C2214yescomplemented
78#1853C2212yes—
79#1853C2211yescharacteristic
80#1853C2214yescomplemented
81#1834C2212yescomplemented
82#1824C2214yescomplemented
83#1823C2212yes—
84#1823C2212yes—
85#1823C2212yes—
86#1809C2214yescomplemented
87#1803C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1787C2211yescharacteristic
91#1787C2212yes—
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—28no—
112C2×C22⋊Q8—44no—
113C2×C22⋊Q8C2314yes—
114C2×C22⋊Q8C2314yes—
115C2×#121—22no—
116C2×#121—21no—
117C2×#121C2311yescharacteristic
118C2×#121C2312yes—
119C2×#121C2312yes—
120C2×#120—22no—
121C2×C4×Q8—21no—
122C2×C4×Q8—21no—
123C2×C4×Q8—44no—
124C2×C4×Q8C2312yes—
125C2×C4×Q8C2312yes—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—44no—
129C2×C4×D4D411yescharacteristic
130C2×C4×D4D412yes—
131C2×C4×D4D411yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2312yes—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—22no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4C2312yes—
142C22×C4⋊C4C2312yes—
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2312yes—
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4—22no—
148C22×C22⋊C4D412yes—
149C22×C42—21no—
150C22×C42C2311yescharacteristic
151#480—44no—
152#475—44no—
153#448—24no—
154C4×SD16—44no—
155#436—44no—
156C2×#107C2314yes—
157C2×#106C2314yes—
158C2×#106C2312yes—
159C2×C4⋊C8C2312yes—
160C2×#103C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2312yes—
164C2×#103C2312yes—
165C2×#102C2314yes—
166C2×#102C2312yes—
167#407—44no—
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2311yescharacteristic
170C2×C22⋊C8C2311yescharacteristic
171C2×C22⋊C8C2314yes—
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2314yes—
174C2×C4×C8C2312yes—
175#398—22no—
176#397—22no—
177#397—22no—
178#396—22no—
179#396—24no—
180#396—24no—
181#396—24no—
182#396—24no—
183#394—22no—
184#394—22no—
185#391—21no—
186#391—21no—
187#390—22no—
188#390—24no—
189#390—22no—
190#390C2311yescharacteristic
191#389—21no—
192#389—22no—
193#389—22no—
194#389—24no—
195#389—21no—
196#389C2311yescharacteristic
197#389C2312yes—
198#388—21no—
199#386—22no—
200#386—22no—
201#386—22no—
202#386—21no—
203#386—22no—
204#385—22no—
205#384—21no—
206#384—21no—
207#384C2312yes—
208#384C2311yescharacteristic
209#384C2312yes—
210#381—22no—
211#380—21no—
212#380—22no—
213#380—22no—
214#380—22no—
215#380—22no—
216#380—21no—
217#380C2312yes—
218#380C2314yes—
219#380C2312yes—
220#380C2314yes—
221#380C2312yes—
222#380C2312yes—
223#380C2312yes—
224#380C2311yescharacteristic
225C4×C4⋊C4C2311yescharacteristic
226C4×C22⋊C4—21no—
227C2×#95—22no—
228C2×#95—22no—
229#340C2314yes—
230#340C2314yes—
231#340C2312yes—
232#340C2314yes—
233#340C2314yes—
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—21no—
245C22×Q8—21no—
246C22×Q8—22no—
247C22×Q8—42no—
248C22×Q8—42no—
249C22×Q8#4114yescomplemented
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—42no—
281C2×SD16—42no—
282C2×M16—44no—
283C2×M16—44no—
284C2×M16—44no—
285C22×C8C2412yes—
286C22×C8C2414yes—
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—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—48no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—82no—
349C2×C4⋊C4C2×D411yescharacteristic
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2×D412yes—
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2411yescharacteristic
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2414yes—
358C2×C4⋊C4C2411yescharacteristic
359C2×C22⋊C4—21no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—44no—
376C2×C22⋊C4—48no—
377C2×C22⋊C4—48no—
378C2×C22⋊C4—84no—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C22⋊C4C2×D412yes—
382C2×C22⋊C4C2×D412yes—
383C2×C42—24no—
384C2×C42—21no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—44no—
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2411yescharacteristic
391C2×C42C2411yescharacteristic
392#107—44no—
393#106—42no—
394#106—44no—
395C4⋊C8—24no—
396#103—24no—
397#103—42no—
398#103—44no—
399#103—42no—
400#103—44no—
401#102—42no—
402#102—44no—
403C22⋊C8—22no—
404C22⋊C8—22no—
405C22⋊C8—24no—
406C22⋊C8—44no—
407C22⋊C8—44no—
408C22⋊C8—44no—
409C4×C8—24no—
410#95—21no—
411#95—22no—
412#95—22no—
413#95—22no—
414#95—24no—
415#95—24no—
416#95—21no—
417#95—21no—
418#95—22no—
419#95—22no—
420#95—22no—
421C24—24no—
422C24—24no—
423C24—24no—
424C24—24no—
425C24—21no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24C22×D412yes—
430C24C22×D412yes—
431C24C22×D411yescharacteristic
432#41—816no—
433C2×Q8—24no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8—48no—
440C2×Q8—42no—
441C2×Q8—42no—
442C2×Q8—48no—
443C2×Q8—42no—
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8C2×#4114yes—
447C2×D4—24no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—24no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—416no—
459C2×D4—42no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—42no—
466C2×D4—44no—
467C2×D4—82no—
468C2×D4—82no—
469C2×D4#13714yes—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—41no—
497C22×C4—42no—
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—44no—
507C22×C4—44no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—42no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—88no—
519C22×C4—88no—
520C22×C4—82no—
521C22×C4—82no—
522C22×C4AGL(1,ℤ/8)14yes—
523C22×C4C22×D412yes—
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C2×#4112yes—
531C22×C4H(5,𝔽2)12yes—
532C22×C4C2511yescharacteristic
533SD16—48no—
534M16—88no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—22no—
542C2×C8—24no—
543C2×C8—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—21no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—42no—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—44no—
570C4⋊C4—81no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—42no—
586C22⋊C4—44no—
587C22⋊C4—42no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—81no—
591C22⋊C4—82no—
592C22⋊C4—84no—
593C22⋊C4—84no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—44no—
598C42—44no—
599C42—42no—
600C42H(5,𝔽2)14yes—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—22no—
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—48no—
619C23—48no—
620C23—48no—
621C23—48no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23#54612yes—
633C23C2×AGL(1,ℤ/8)12yes—
634C23C2×#13714yes—
635C23#57712yes—
636C23C23×D411yescharacteristic
637Q8—24no—
638Q8—24no—
639Q8—48no—
640Q8—42no—
641Q8—42no—
642Q8—84no—
643D4—28no—
644D4—48no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—88no—
649D4—84no—
650D4—164no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—41no—
699C2×C4—84no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—88no—
704C2×C4—88no—
705C2×C4—84no—
706C2×C4—164no—
707C2×C4#53412yes—
708C2×C4#53412yes—
709C2×C4#54612yes—
710C2×C4C2×AGL(1,ℤ/8)12yes—
711C2×C4C2×AGL(1,ℤ/8)12yes—
712C2×C4C2×#13712yes—
713C2×C4C22×#4111yescharacteristic
714C2×C4C2×H(5,𝔽2)12yes—
715C2×C4C2×H(5,𝔽2)11yescharacteristic
716C2×C4#58512yes—
717C8—42no—
718C8—44no—
719C8—42no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—816no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22—81no—
746C22—81no—
747C22—81no—
748C22#333214yes—
749C22C2×#53411yescharacteristic
750C22C2×#54611yescharacteristic
751C22#348511yescharacteristic
752C22C22×AGL(1,ℤ/8)11yescharacteristic
753C22C22×#13711yescharacteristic
754C22C2×#57711yescharacteristic
755C22#358611yescharacteristic
756C4—22no—
757C4—22no—
758C4—22no—
759C4—42no—
760C4—42no—
761C4—44no—
762C4—41no—
763C4—81no—
764C4—82no—
765C4—81no—
766C4—82no—
767C4—82no—
768C4—84no—
769C4—81no—
770C4#319314yes—
771C4#350512yes—
772C4#354212yes—
773C2—24no—
774C2—44no—
775C2—82no—
776C2—161no—
777C2#3946611yescharacteristic
778C2C2×#319311yescharacteristic
779C2#6076311yescharacteristic
780C2C2×#333211yescharacteristic
781C2#6115711yescharacteristic
782C2#6172211yescharacteristic
783C2#6173511yescharacteristic
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. #31400C2semidirect
6. #29595C2semidirect
7. #28150C2semidirect
8. #27960C2semidirect
9. #27644C2semidirect
10. #27601C2semidirect
11. #25348C2semidirect
12. #24971C2semidirect
13. #24558C2semidirect
14. #24120C2semidirect
15. #22401C2semidirect
16. #21765C2semidirect
17. C4×#448C2semidirect
24. C2×#475C22semidirect
26. C2×C4×SD16C22semidirect
54. #2099C22semidirect
55. #2083C22semidirect
56. #2077C22semidirect
57. #2077C22semidirect
58. #2076C22semidirect
59. #2071C22semidirect
60. #2036C22semidirect
61. #2036C22semidirect
62. #2034C22semidirect
63. #2000C22semidirect
64. #2000C22semidirect
65. #1990C22semidirect
67. #1947C22semidirect
68. #1895C22semidirect
69. #1894C22semidirect
70. #1894C22semidirect
71. #1880C22semidirect
73. #1872C22semidirect
74. #1872C22semidirect
76. #1865C22semidirect
77. #1865C22semidirect
80. #1853C22semidirect
81. #1834C22semidirect
82. #1824C22semidirect
86. #1809C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect
93. C4×#103C22semidirect
249. C22×Q8#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
#314002
#295952
#281502
#279602
#276442
#276012
#253482
#249712
#245582
#241202
#224012
#217652
C4×#4482