Finite Group Databasebeta

← #6477459

Subgroups — #6477459

Order 512.

4358 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#547C211yesmaximal, characteristic, complemented
2C2×#3192C211yesmaximal, characteristic, complemented
3C22×#481C211yesmaximal, characteristic, complemented
4#35076C211yesmaximal, characteristic, complemented
5#33004C212yesmaximal, complemented
6#32979C212yesmaximal, complemented
7#29639C212yesmaximal, complemented
8#29594C212yesmaximal, complemented
9#25549C218yesmaximal, complemented
10#24089C214yesmaximal, complemented
11#23960C214yesmaximal, complemented
12#21761C211yesmaximal, characteristic, complemented
13#21740C211yesmaximal, characteristic, complemented
14#20700C211yesmaximal, characteristic, complemented
15C23×#41—21no—
16C2×#547—28no—
17C2×#547—22no—
18C2×#547—22no—
19C2×#547—28no—
20C2×#547C2214yes—
21C2×#547C2214yescomplemented
22C22×C4⋊Q8C2211yescharacteristic, complemented
23C22×#123—21no—
24C22×#123—21no—
25C22×C22⋊Q8—21no—
26C22×#121C2211yescharacteristic
27C22×#121C2211yescharacteristic
28C22×#121C2211yescharacteristic, complemented
29C22×C4×D4C2211yescharacteristic
30C22×C4×D4C2211yescharacteristic, complemented
31C23×C4⋊C4C2211yescharacteristic
32C23×C4⋊C4C2211yescharacteristic, complemented
33#3192—28no—
34C2×#481—28no—
35C2×#481C2212yes—
36C2×#481C2212yes—
37C2×#481C2212yes—
38C2×#481C2212yescomplemented
39C2×#481C2214yescomplemented
40C2×#469C2214yescomplemented
41C2×#447C2212yes—
42C2×#447C2212yescomplemented
43C22×#106C2212yescomplemented
44C22×#102C2212yescomplemented
45C2×#407C2211yescharacteristic
46C22×C22⋊C8C2211yescharacteristic
47#2854C2212yes—
48#2847C2212yes—
49#2635—22no—
50#2591—21no—
51#2539—21no—
52#2487C2212yescomplemented
53#2414C2214yescomplemented
54#2408C2212yescomplemented
55#2405—21no—
56#2403—21no—
57#2321—22no—
58#2280C2211yescharacteristic
59#2058C2218yescomplemented
60#2034C2218yescomplemented
61#2023C2218yescomplemented
62#1999C2218yescomplemented
63#1893C2214yescomplemented
64#1879C2218yescomplemented
65#1875C2214yescomplemented
66#1874C2218yescomplemented
67#1870C2214yescomplemented
68#1869C2214yescomplemented
69#1864C2218yescomplemented
70#1853C2218yescomplemented
71#1824C2212yescomplemented
72#1824C2212yescomplemented
73#1824C2212yescomplemented
74#1823C2214yescomplemented
75#1817C2212yescomplemented
76#1786C2212yescomplemented
77#1779C2212yescomplemented
78#1736C2214yescomplemented
79C22×#41—216no—
80C22×#41—24no—
81C22×#41—24no—
82C22×#41—416no—
83C23×Q8—21no—
84C23×D4—21no—
85C23×D4—21no—
86C23×D4—21no—
87C23×D4D411yescharacteristic
88C23×D4C2311yescharacteristic
89C23×D4C2311yescharacteristic
90C24×C4—21no—
91C24×C4—21no—
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C22×D8C2314yes—
96C22×M16C2312yes—
97C23×C8C2312yes—
98#547—232no—
99#547—232no—
100#547—216no—
101#547—216no—
102#547—216no—
103#547—216no—
104C2×C4⋊Q8—24no—
105C2×C4⋊Q8—24no—
106C2×C4⋊Q8—22no—
107C2×C4⋊Q8C2314yes—
108C2×#123—216no—
109C2×#123—216no—
110C2×#123—22no—
111C2×#123—24no—
112C2×#123—24no—
113C2×#123—24no—
114C2×#123—24no—
115C2×C22⋊Q8—216no—
116C2×C22⋊Q8—24no—
117C2×C22⋊Q8—24no—
118C2×#121—24no—
119C2×#121—24no—
120C2×#121—21no—
121C2×#121—21no—
122C2×#121—22no—
123C2×#121—21no—
124C2×#121—21no—
125C2×#121—24no—
126C2×#121—24no—
127C2×#121—24no—
128C2×#121D418yescomplemented
129C2×#121C2312yes—
130C2×#121C2312yes—
131C2×#121C2314yes—
132C2×#121C2312yes—
133C2×#121C2312yes—
134C2×#121C2314yes—
135C2×#120—22no—
136C2×#120—22no—
137C2×C4×D4—24no—
138C2×C4×D4—24no—
139C2×C4×D4—24no—
140C2×C4×D4—24no—
141C2×C4×D4—22no—
142C2×C4×D4D412yes—
143C2×C4×D4D412yes—
144C2×C4×D4C2314yes—
145C2×C4×D4C2312yes—
146C2×C4×D4C2312yes—
147C2×#117C2312yes—
148C22×C4⋊C4—21no—
149C22×C4⋊C4—24no—
150C22×C4⋊C4—21no—
151C22×C4⋊C4—21no—
152C22×C4⋊C4—21no—
153C22×C4⋊C4—22no—
154C22×C4⋊C4—21no—
155C22×C4⋊C4—24no—
156C22×C4⋊C4—24no—
157C22×C4⋊C4D411yescharacteristic
158C22×C4⋊C4D418yescomplemented
159C22×C4⋊C4C2311yescharacteristic
160C22×C4⋊C4C2314yes—
161C22×C4⋊C4C2311yescharacteristic
162C22×C4⋊C4C2311yescharacteristic
163C22×C4⋊C4C2311yescharacteristic
164C22×C4⋊C4C2312yes—
165C22×C4⋊C4C2312yes—
166C22×C22⋊C4—21no—
167C22×C22⋊C4—21no—
168C22×C22⋊C4—21no—
169C22×C22⋊C4—21no—
170C22×C22⋊C4D411yescharacteristic
171C22×C22⋊C4D411yescharacteristic
172C22×C42C2311yescharacteristic
173#481—28no—
174#481—28no—
175#481—28no—
176#481—216no—
177#481—28no—
178#469—216no—
179#447—28no—
180#447—28no—
181C2×#106—28no—
182C2×#106C2314yes—
183C2×#106C2314yes—
184C2×#106C2314yes—
185C2×#102—28no—
186C2×#102C2314yes—
187C2×#102C2314yes—
188C2×#102C2314yes—
189C2×#102C2314yes—
190C2×#102C2318yes—
191#407—24no—
192C2×C22⋊C8—24no—
193C2×C22⋊C8C2312yes—
194C2×C22⋊C8C2312yes—
195C2×C22⋊C8C2312yes—
196C2×C22⋊C8C2312yes—
197C2×C22⋊C8C2318yes—
198#400—22no—
199#399—22no—
200#394—22no—
201#394—24no—
202#392—24no—
203#392—22no—
204#390—24no—
205#390C2314yes—
206#389C2314yes—
207#388—24no—
208#388—24no—
209#386—22no—
210#386—24no—
211#386—22no—
212#386—22no—
213#385—22no—
214#381—21no—
215#380C2312yes—
216#380C2312yes—
217#380C2314yes—
218#379—21no—
219#379—22no—
220C4×C22⋊C4—21no—
221C4×C22⋊C4—21no—
222#340C2318yes—
223#340C2318yes—
224#340C2318yes—
225#336C2318yes—
226C25—21no—
227C25—21no—
228C25C2×D411yescharacteristic
229C25C2×D411yescharacteristic
230C2×#41—232no—
231C2×#41—232no—
232C2×#41—4128no—
233C2×#41—416no—
234C2×#41—416no—
235C2×#41—416no—
236C2×#41—416no—
237C22×Q8—28no—
238C22×Q8—24no—
239C22×Q8—48no—
240C22×D4—24no—
241C22×D4—28no—
242C22×D4—28no—
243C22×D4—28no—
244C22×D4—24no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—24no—
249C22×D4—22no—
250C22×D4—21no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—21no—
255C22×D4—44no—
256C22×D4—44no—
257C22×D4—48no—
258C22×D4—48no—
259C22×D4—44no—
260C22×D4—84no—
261C22×D4C2×D412yes—
262C22×D4C2×D412yes—
263C22×D4C2×D414yes—
264C22×D4C2412yes—
265C22×D4C2412yes—
266C23×C4—28no—
267C23×C4—28no—
268C23×C4—28no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—24no—
273C23×C4—22no—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—22no—
277C23×C4—24no—
278C23×C4—21no—
279C23×C4—44no—
280C23×C4—44no—
281C23×C4—48no—
282C23×C4—48no—
283C23×C4—48no—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D412yes—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D414yes—
292C23×C4C2×D414yes—
293C23×C4C2412yes—
294C23×C4C2411yescharacteristic
295C23×C4C2411yescharacteristic
296C23×C4C2411yescharacteristic
297C2×D8—28no—
298C2×D8—48no—
299C2×M16—24no—
300C2×M16—44no—
301C22×C8—24no—
302C22×C8—44no—
303C22×C8C2414yes—
304C22×C8C2414yes—
305C4⋊Q8—216no—
306C4⋊Q8—28no—
307C4⋊Q8—28no—
308#123—232no—
309#123—232no—
310#123—232no—
311#123—232no—
312#123—84no—
313C22⋊Q8—232no—
314C22⋊Q8—232no—
315#121—216no—
316#121—28no—
317#121—28no—
318#121—28no—
319#121—24no—
320#121—24no—
321#121—28no—
322#121—24no—
323#121—24no—
324#121—24no—
325#121—24no—
326#121—44no—
327#121—44no—
328#121—48no—
329#121C2×D418yes—
330#121C2×D418yes—
331#120—48no—
332#120—84no—
333C4×D4—216no—
334C4×D4—28no—
335C4×D4—28no—
336C4×D4—28no—
337C4×D4—24no—
338C4×D4—24no—
339C4×D4—24no—
340C4×D4—24no—
341C4×D4—28no—
342#117—44no—
343C2×C4⋊C4—28no—
344C2×C4⋊C4—216no—
345C2×C4⋊C4—28no—
346C2×C4⋊C4—28no—
347C2×C4⋊C4—28no—
348C2×C4⋊C4—28no—
349C2×C4⋊C4—24no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—24no—
360C2×C4⋊C4—24no—
361C2×C4⋊C4—24no—
362C2×C4⋊C4—28no—
363C2×C4⋊C4—28no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—24no—
368C2×C4⋊C4C2×D412yes—
369C2×C4⋊C4C2×D412yes—
370C2×C4⋊C4C2×D414yes—
371C2×C4⋊C4C2×D414yes—
372C2×C4⋊C4C2×D414yes—
373C2×C4⋊C4C2×D418yes—
374C2×C4⋊C4C2×D418yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2414yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C22⋊C4—28no—
381C2×C22⋊C4—28no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—28no—
384C2×C22⋊C4—24no—
385C2×C22⋊C4—24no—
386C2×C22⋊C4—24no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—24no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—24no—
396C2×C22⋊C4—24no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—44no—
399C2×C22⋊C4C2×D412yes—
400C2×C22⋊C4C2×D412yes—
401C2×C22⋊C4C2×D412yes—
402C2×C22⋊C4C2×D412yes—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42C2×D412yes—
407C2×C42C2412yes—
408#106—28no—
409#106—28no—
410#106—28no—
411#102—28no—
412#102—28no—
413#102—28no—
414#102—28no—
415#102—48no—
416C22⋊C8—24no—
417C22⋊C8—24no—
418C22⋊C8—24no—
419C22⋊C8—24no—
420C22⋊C8—48no—
421#95—22no—
422#95—22no—
423#95—24no—
424#95—24no—
425C24—22no—
426C24—24no—
427C24—24no—
428C24—24no—
429C24—24no—
430C24—24no—
431C24—22no—
432C24—22no—
433C24—42no—
434C24—42no—
435C24—44no—
436C24—44no—
437C24—44no—
438C24—42no—
439C24—44no—
440C24—82no—
441C24—82no—
442C24#12014yes—
443C24C22×D411yescharacteristic
444C24C22×D412yes—
445C24C22×D411yescharacteristic
446C24C22×D411yescharacteristic
447#41—4128no—
448#41—4128no—
449C2×Q8—216no—
450C2×Q8—432no—
451C2×Q8—48no—
452C2×Q8—48no—
453C2×D4—232no—
454C2×D4—24no—
455C2×D4—24no—
456C2×D4—24no—
457C2×D4—24no—
458C2×D4—216no—
459C2×D4—28no—
460C2×D4—28no—
461C2×D4—24no—
462C2×D4—24no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—28no—
467C2×D4—28no—
468C2×D4—48no—
469C2×D4—44no—
470C2×D4—48no—
471C2×D4—48no—
472C2×D4—432no—
473C2×D4—432no—
474C2×D4—48no—
475C2×D4—48no—
476C2×D4—48no—
477C2×D4—48no—
478C2×D4—44no—
479C2×D4—44no—
480C2×D4—44no—
481C2×D4—44no—
482C2×D4—48no—
483C2×D4—42no—
484C2×D4—84no—
485C2×D4—82no—
486C2×D4—82no—
487C2×D4—82no—
488C2×D4—84no—
489C2×D4—84no—
490C2×D4—816no—
491C2×D4AGL(1,ℤ/8)18yes—
492C2×D4C22×D414yes—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—216no—
499C22×C4—216no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—28no—
506C22×C4—28no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—28no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—42no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—432no—
527C22×C4—48no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—432no—
532C22×C4—432no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—42no—
539C22×C4—82no—
540C22×C4#12014yes—
541C22×C4#12014yes—
542C22×C4#12014yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D412yes—
549C22×C4C22×D412yes—
550C22×C4C22×D412yes—
551C22×C4C22×D412yes—
552C22×C4C22×D412yes—
553C22×C4C22×D412yes—
554C22×C4C22×D412yes—
555C22×C4C2511yescharacteristic
556D8—88no—
557M16—84no—
558C2×C8—24no—
559C2×C8—24no—
560C2×C8—28no—
561C2×C8—28no—
562C2×C8—48no—
563C4⋊C4—216no—
564C4⋊C4—216no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—28no—
569C4⋊C4—28no—
570C4⋊C4—24no—
571C4⋊C4—24no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—28no—
578C4⋊C4—42no—
579C4⋊C4—84no—
580C4⋊C4C22×D414yes—
581C4⋊C4C22×D414yes—
582C4⋊C4C22×D414yes—
583C22⋊C4—216no—
584C22⋊C4—216no—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—28no—
588C22⋊C4—28no—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—48no—
596C22⋊C4—84no—
597C22⋊C4—84no—
598C22⋊C4—82no—
599C22⋊C4—84no—
600C42—24no—
601C42—22no—
602C42—22no—
603C42—82no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—28no—
609C23—22no—
610C23—22no—
611C23—24no—
612C23—28no—
613C23—28no—
614C23—22no—
615C23—22no—
616C23—24no—
617C23—22no—
618C23—24no—
619C23—44no—
620C23—416no—
621C23—416no—
622C23—44no—
623C23—48no—
624C23—48no—
625C23—44no—
626C23—44no—
627C23—48no—
628C23—44no—
629C23—44no—
630C23—42no—
631C23—44no—
632C23—44no—
633C23—42no—
634C23—42no—
635C23—816no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23—168no—
640C23C2×#12012yes—
641C23C2×#12012yes—
642C23C2×#12012yes—
643C23C2×AGL(1,ℤ/8)14yes—
644C23C2×AGL(1,ℤ/8)14yes—
645C23#57714yes—
646C23C23×D411yescharacteristic
647Q8—432no—
648D4—216no—
649D4—216no—
650D4—28no—
651D4—48no—
652D4—416no—
653D4—432no—
654D4—416no—
655D4—44no—
656D4—44no—
657D4—44no—
658D4—84no—
659D4—88no—
660D4—88no—
661D4—168no—
662C2×C4—28no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—48no—
685C2×C4—432no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—48no—
689C2×C4—48no—
690C2×C4—416no—
691C2×C4—432no—
692C2×C4—416no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—84no—
706C2×C4C2×#12012yes—
707C2×C4C2×#12012yes—
708C2×C4C2×#12012yes—
709C2×C4C2×AGL(1,ℤ/8)14yes—
710C2×C4C23×D411yescharacteristic
711C2×C4C23×D411yescharacteristic
712C2×C4#58514yes—
713C8—44no—
714C8—44no—
715C22—22no—
716C22—22no—
717C22—28no—
718C22—28no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—28no—
723C22—22no—
724C22—24no—
725C22—22no—
726C22—416no—
727C22—416no—
728C22—42no—
729C22—44no—
730C22—44no—
731C22—42no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—816no—
736C22—88no—
737C22—82no—
738C22—84no—
739C22—84no—
740C22—82no—
741C22—82no—
742C22—168no—
743C22#300314yes—
744C22#301014yes—
745C22C22×#12011yescharacteristic
746C22#348512yes—
747C22C22×AGL(1,ℤ/8)12yes—
748C22C2×#57712yes—
749C4—22no—
750C4—22no—
751C4—22no—
752C4—24no—
753C4—42no—
754C4—44no—
755C4—44no—
756C4—44no—
757C4—42no—
758C4—84no—
759C4—82no—
760C4#344912yes—
761C4#348512yes—
762C2—24no—
763C2—24no—
764C2—42no—
765C2—44no—
766C2—84no—
767C2—162no—
768C2#3508811yescharacteristic
769C2C2×#300311yescharacteristic
770C2C2×#301011yescharacteristic
771C2#6172814yes—
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. C22×#547C2semidirect
2. C2×#3192C2semidirect
3. C22×#481C2semidirect
4. #35076C2semidirect
5. #33004C2semidirect
6. #32979C2semidirect
7. #29639C2semidirect
8. #29594C2semidirect
9. #25549C2semidirect
10. #24089C2semidirect
11. #23960C2semidirect
12. #21761C2semidirect
13. #21740C2semidirect
14. #20700C2semidirect
21. C2×#547C22semidirect
22. C22×C4⋊Q8C22semidirect
28. C22×#121C22semidirect
30. C22×C4×D4C22semidirect
32. C23×C4⋊C4C22semidirect
38. C2×#481C22semidirect
39. C2×#481C22semidirect
40. C2×#469C22semidirect
42. C2×#447C22semidirect
43. C22×#106C22semidirect
44. C22×#102C22semidirect
52. #2487C22semidirect
53. #2414C22semidirect
54. #2408C22semidirect
59. #2058C22semidirect
60. #2034C22semidirect
61. #2023C22semidirect
62. #1999C22semidirect
63. #1893C22semidirect
64. #1879C22semidirect
65. #1875C22semidirect
66. #1874C22semidirect
67. #1870C22semidirect
68. #1869C22semidirect
69. #1864C22semidirect
70. #1853C22semidirect
71. #1824C22semidirect
72. #1824C22semidirect
73. #1824C22semidirect
74. #1823C22semidirect
75. #1817C22semidirect
76. #1786C22semidirect
77. #1779C22semidirect
78. #1736C22semidirect
128. C2×#121D4semidirect
158. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C22×#5472
C2×#31922
C22×#4812
#350762
#330042
#329792
#296392
#295942
#255492
#240892
#239602
#217612
#217402
#207002