Finite Group Databasebeta

← #6630106

Subgroups — #6630106

Order 512.

2336 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3081C212yesmaximal
2#35275C211yesmaximal, characteristic, complemented
3C4×#518C211yesmaximal, characteristic
4#33205C214yesmaximal, complemented
5#33203C214yesmaximal, complemented
6#33199C212yesmaximal, complemented
7#33199C212yesmaximal, complemented
8#33197C212yesmaximal, complemented
9#33195C212yesmaximal, complemented
10#21315C212yesmaximal, complemented
11#21175C212yesmaximal, complemented
12#21171C211yesmaximal, characteristic, complemented
13#21169C211yesmaximal, characteristic, complemented
14#20793C211yesmaximal, characteristic, complemented
15#20650C212yesmaximal
16#20646C211yesmaximal, characteristic
17C2×#1802C211yesmaximal, characteristic
18C2×#544C2212yes—
19C2×#518C2211yescharacteristic
20C2×#518C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#3081—216no—
23C2×#478C2214yes—
24C2×#478C2214yes—
25C2×#476C2214yes—
26C2×#474C2214yes—
27C2×#428C2212yes—
28C2×#427C2212yes—
29C2×#424C2212yes—
30C2×#424C2212yes—
31C2×#423C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C2×#418C2212yes—
34C22×#102C2212yes—
35#2868C2212yescomplemented
36#2859C2212yescomplemented
37#2660C2214yescomplemented
38#2552—21no—
39#2552—21no—
40#2551—21no—
41#2551—21no—
42#2440—22no—
43#2440—22no—
44#2317C2212yes—
45#2285C2211yescharacteristic
46C2×#384C2211yescharacteristic
47#2275—21no—
48#2275—21no—
49#2275C2212yes—
50#2275C2212yes—
51#2274C2211yescharacteristic
52#2274C2211yescharacteristic
53#2273—22no—
54C42×D4—21no—
55C42×D4—21no—
56C42×D4C2212yes—
57C42×D4C2212yes—
58C4×#117C2211yescharacteristic
59C4×#117C2211yescharacteristic
60C2×C4×C22⋊C4—22no—
61#1989C2214yescomplemented
62#1989C2214yescomplemented
63#1988C2214yescomplemented
64#1987C2214yescomplemented
65#1949C2214yescomplemented
66#1949C2214yescomplemented
67#1949C2212yescomplemented
68#1949C2212yescomplemented
69#1948C2211yescharacteristic, complemented
70#1948C2212yescomplemented
71#1948C2214yescomplemented
72#1948C2211yescharacteristic, complemented
73#1948C2212yescomplemented
74#1947C2211yescharacteristic, complemented
75#1947C2212yescomplemented
76#1947C2214yescomplemented
77#1947C2211yescharacteristic, complemented
78#1947C2212yescomplemented
79#1843C2214yescomplemented
80#1842C2212yescomplemented
81#1842C2212yescomplemented
82#1804C2214yes—
83#1804C2214yes—
84#1804C2214yes—
85#1802C2212yes—
86#1802C2212yes—
87#1802C2214yes—
88#1802C2212yes—
89#1802C2212yes—
90#1802C2214yes—
91#1802C2214yes—
92#1736C2212yes—
93#1736C2212yes—
94#1735C2212yes—
95C2×#340C2212yes—
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C22×M16C2312yes—
99C23×C8C2312yes—
100#544—28no—
101#544—28no—
102C2×C4⋊Q8—22no—
103C2×C4⋊Q8—22no—
104C2×C4⋊Q8—22no—
105C2×C4⋊Q8C2314yes—
106C2×#125—22no—
107C2×#125C2314yes—
108C2×C22⋊Q8—24no—
109#518—24no—
110#518—24no—
111#518D418yes—
112#518Q818yescomplemented
113C2×C4×D4—21no—
114C2×C4×D4—21no—
115C2×C4×D4—21no—
116C2×C4×D4—21no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4—24no—
120C2×C4×D4Q818yescomplemented
121C2×C4×D4C2312yes—
122C2×C4×D4C2312yes—
123C2×C4×D4C2312yes—
124C2×C4×D4C2312yes—
125C2×C4×D4C2312yes—
126C2×C4×D4C2312yes—
127C2×#117C2312yes—
128C2×#117C2311yescharacteristic
129C2×#117C2311yescharacteristic
130C2×#117C2311yescharacteristic
131C2×#117C2311yescharacteristic
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—21no—
137C22×C22⋊C4—22no—
138C22×C22⋊C4—22no—
139C22×C42—22no—
140C22×C42—22no—
141C22×C42C2311yescharacteristic
142#478—216no—
143#478—216no—
144#476—216no—
145#474—216no—
146#428—28no—
147#427—28no—
148C2×#107C2312yes—
149C2×#107C2314yes—
150C2×#107C2312yes—
151C2×#106C2312yes—
152C2×#106C2314yes—
153C2×#106C2312yes—
154#424—28no—
155#424—28no—
156#423—24no—
157C2×C4⋊C8—24no—
158C2×C4⋊C8C2314yes—
159C2×C4⋊C8C2314yes—
160C2×C4⋊C8C2311yescharacteristic
161C2×C4⋊C8C2311yescharacteristic
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2312yes—
164C2×C4⋊C8C2314yes—
165C2×C4⋊C8C2314yes—
166C2×C4⋊C8C2312yes—
167#418—28no—
168C2×#102—28no—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173#398—24no—
174#398—24no—
175#395—24no—
176#395—24no—
177#389—22no—
178#389—22no—
179#389—22no—
180#389—22no—
181#389—22no—
182#389—22no—
183#385—24no—
184#384—22no—
185#384—22no—
186#384—21no—
187#384—21no—
188#384C2314yes—
189#384C2311yescharacteristic
190#384C2312yes—
191#384C2311yescharacteristic
192#384C2312yes—
193#382C2314yes—
194#382C2312yes—
195#380—21no—
196#380—21no—
197C4×C4⋊C4—21no—
198C4×C4⋊C4—21no—
199C4×C4⋊C4—21no—
200C4×C4⋊C4—21no—
201C4×C4⋊C4—21no—
202C4×C4⋊C4—21no—
203C4×C4⋊C4D411yescharacteristic
204C4×C4⋊C4D411yescharacteristic
205C4×C4⋊C4D411yescharacteristic
206C4×C4⋊C4D411yescharacteristic
207C4×C4⋊C4C2311yescharacteristic
208C4×C4⋊C4C2311yescharacteristic
209C4×C4⋊C4C2312yes—
210C4×C4⋊C4C2311yescharacteristic
211C4×C4⋊C4C2311yescharacteristic
212C4×C4⋊C4C2312yes—
213C4×C4⋊C4C2312yes—
214C4×C4⋊C4C2312yes—
215C4×C22⋊C4—21no—
216C4×C22⋊C4—21no—
217C4×C22⋊C4—22no—
218C4×C22⋊C4—22no—
219C4×C22⋊C4—22no—
220C4×C22⋊C4—22no—
221C4×C22⋊C4—22no—
222C4×C22⋊C4—22no—
223C4×C22⋊C4—22no—
224C4×C22⋊C4—22no—
225C4×C22⋊C4—22no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4D412yes—
232C4×C22⋊C4D412yes—
233#376—21no—
234#376C2312yes—
235C2×#95—22no—
236C2×#95—22no—
237C43—21no—
238C43C2312yes—
239#340C2312yes—
240#340C2314yes—
241#340C2312yes—
242#340C2314yes—
243#340C2314yes—
244#340C2314yes—
245#340C2314yes—
246#340C2314yes—
247#340C2312yes—
248#340C2312yes—
249C25—21no—
250C22×Q8—24no—
251C22×D4—21no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—22no—
255C22×D4C2×D414yes—
256C22×D4C2×Q814yes—
257C22×D4C2×Q814yes—
258C22×D4C2412yes—
259C23×C4—21no—
260C23×C4—22no—
261C23×C4—28no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—82no—
269C23×C4—82no—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2411yescharacteristic
273C2×M16—24no—
274C2×M16—24no—
275C2×M16—24no—
276C22×C8—24no—
277C22×C8—24no—
278C22×C8—24no—
279C22×C8C2412yes—
280C22×C8C2412yes—
281C22×C8C2414yes—
282C4⋊Q8—28no—
283C4⋊Q8—28no—
284C4⋊Q8—48no—
285C4⋊Q8—84no—
286C4⋊Q8—84no—
287#125—28no—
288#125—28no—
289#125—48no—
290C22⋊Q8—416no—
291C4×D4—28no—
292C4×D4—28no—
293C4×D4—28no—
294C4×D4—28no—
295C4×D4—28no—
296C4×D4—28no—
297C4×D4—24no—
298C4×D4—24no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4—24no—
302C4×D4—24no—
303C4×D4C2×D418yes—
304C4×D4C2×D418yes—
305C4×D4C2×Q818yes—
306C4×D4C2×Q818yes—
307C4×D4C2×Q818yes—
308C4×D4C2×Q818yes—
309#117—22no—
310#117—22no—
311#117—24no—
312#117—24no—
313#117C2×D414yes—
314#117C2×D414yes—
315#117C2×Q814yes—
316#117C2×Q814yes—
317#117#4114yes—
318#117#4114yes—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—82no—
338C2×C4⋊C4—82no—
339C2×C4⋊C4C2×D411yescharacteristic
340C2×C4⋊C4C2×D411yescharacteristic
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2×Q814yes—
344C2×C4⋊C4C2414yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2411yescharacteristic
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2411yescharacteristic
351C2×C4⋊C4C2411yescharacteristic
352C2×C22⋊C4—21no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—28no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—216no—
362C2×C22⋊C4—216no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C42—21no—
367C2×C42—21no—
368C2×C42—22no—
369C2×C42—21no—
370C2×C42—21no—
371C2×C42—21no—
372C2×C42—21no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—84no—
378C2×C42—84no—
379C2×C42C2×D412yes—
380C2×C42C2×D412yes—
381C2×C42C2×D412yes—
382C2×C42C2×D412yes—
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×Q814yes—
386C2×C42#4114yes—
387C2×C42C2412yes—
388C2×C42C2412yes—
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—24no—
392#107—24no—
393#107—28no—
394#106—24no—
395#106—24no—
396#106—28no—
397C4⋊C8—28no—
398C4⋊C8—28no—
399C4⋊C8—22no—
400C4⋊C8—22no—
401C4⋊C8—24no—
402C4⋊C8—24no—
403C4⋊C8—24no—
404C4⋊C8—28no—
405C4⋊C8—28no—
406#102—28no—
407#102—28no—
408#102—28no—
409#102—28no—
410#95—21no—
411#95—21no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—21no—
417#95—21no—
418#95—22no—
419#95—22no—
420#95—24no—
421#95—24no—
422#95C2×D412yes—
423#95C2×D412yes—
424#95C2×D412yes—
425#95C2×D412yes—
426C24—22no—
427C24—24no—
428C24—24no—
429C24—24no—
430C24—81no—
431C24—81no—
432C24—81no—
433C24—81no—
434C24C22×D411yescharacteristic
435C2×Q8—48no—
436C2×Q8—84no—
437C2×Q8—84no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—28no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4C4⋊Q8116yescomplemented
448C2×D4C22×D414yes—
449C2×D4C22×Q814yes—
450C2×D4C22×Q814yes—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—44no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—816no—
474C22×C4—82no—
475C22×C4—82no—
476C22×C4—82no—
477C22×C4—82no—
478C22×C4—82no—
479C22×C4—82no—
480C22×C4—82no—
481C22×C4—82no—
482C22×C4—82no—
483C22×C4—82no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4—82no—
487C22×C4—82no—
488C22×C4C22⋊Q814yes—
489C22×C4C22⋊Q814yes—
490C22×C4C22×D412yes—
491C22×C4C22×D412yes—
492C22×C4C22×D411yescharacteristic
493C22×C4C22×D412yes—
494C22×C4C22×D412yes—
495C22×C4C22×D411yescharacteristic
496C22×C4C22×D411yescharacteristic
497C22×C4C22×D411yescharacteristic
498C22×C4C22×D412yes—
499C22×C4C22×D411yescharacteristic
500C22×C4C22×Q812yes—
501C22×C4C22×Q812yes—
502C22×C4C2×#4112yes—
503C22×C4C2×#4112yes—
504C22×C4C2×#4112yes—
505C22×C4C2511yescharacteristic
506M16—48no—
507C2×C8—22no—
508C2×C8—24no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—24no—
515C2×C8—24no—
516C2×C8—48no—
517C4⋊C4—24no—
518C4⋊C4—22no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—24no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—42no—
530C4⋊C4—44no—
531C4⋊C4—42no—
532C4⋊C4—44no—
533C4⋊C4—48no—
534C4⋊C4—48no—
535C4⋊C4—48no—
536C4⋊C4—44no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—82no—
540C4⋊C4—82no—
541C4⋊C4—84no—
542C4⋊C4—84no—
543C4⋊C4#12114yes—
544C4⋊C4#12114yes—
545C4⋊C4C22⋊Q814yes—
546C4⋊C4C22⋊Q814yes—
547C4⋊C4C22×D412yes—
548C4⋊C4C22×D412yes—
549C4⋊C4C22×Q814yes—
550C4⋊C4C22×Q812yes—
551C4⋊C4C22×Q812yes—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—28no—
555C22⋊C4—28no—
556C22⋊C4—28no—
557C22⋊C4—28no—
558C22⋊C4—28no—
559C22⋊C4—28no—
560C22⋊C4—44no—
561C22⋊C4#12118yes—
562C22⋊C4C22⋊Q818yes—
563C42—24no—
564C42—24no—
565C42—24no—
566C42—24no—
567C42—42no—
568C42—42no—
569C42—44no—
570C42—42no—
571C42—42no—
572C42—81no—
573C42—81no—
574C42—82no—
575C42—82no—
576C42—82no—
577C42—82no—
578C42C22⋊Q814yes—
579C42C22⋊Q814yes—
580C42C22×D414yes—
581C42C22×Q812yes—
582C42C22×Q812yes—
583C42C22×Q814yes—
584C42C2×#4114yes—
585C42C2×#4112yes—
586C42C2×#4112yes—
587C42C2×#4114yes—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—216no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23C2×#12112yes—
607C23C2×C22⋊Q812yes—
608C23C2×C22⋊Q812yes—
609C23C23×D411yescharacteristic
610Q8—168no—
611D4—216no—
612D4—24no—
613D4—24no—
614D4—24no—
615D4C2×C4⋊Q818yes—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—28no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—44no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—416no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—88no—
658C2×C4—88no—
659C2×C4—88no—
660C2×C4—88no—
661C2×C4—88no—
662C2×C4—84no—
663C2×C4—164no—
664C2×C4C2×#12114yes—
665C2×C4C2×#12114yes—
666C2×C4C2×#12112yes—
667C2×C4C2×C22⋊Q812yes—
668C2×C4C2×C22⋊Q812yes—
669C2×C4C2×C22⋊Q812yes—
670C2×C4C2×C22⋊Q814yes—
671C2×C4C2×C22⋊Q814yes—
672C2×C4C2×C22⋊Q812yes—
673C2×C4C2×C22⋊Q812yes—
674C2×C4C2×C22⋊Q812yes—
675C2×C4C2×C4⋊Q814yes—
676C2×C4#53214yes—
677C2×C4#53314yes—
678C2×C4#53314yes—
679C2×C4#57612yes—
680C2×C4#57712yes—
681C2×C4C23×D411yescharacteristic
682C2×C4C23×Q811yescharacteristic
683C2×C4C23×Q811yescharacteristic
684C2×C4C22×#4111yescharacteristic
685C2×C4C22×#4111yescharacteristic
686C2×C4C22×#4111yescharacteristic
687C8—42no—
688C8—42no—
689C8—44no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—28no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—816no—
704C22#285714yes—
705C22C22×#12111yescharacteristic
706C22C22×C22⋊Q811yescharacteristic
707C22C22×C22⋊Q811yescharacteristic
708C22C2×#57611yescharacteristic
709C22C2×#57711yescharacteristic
710C22#358511yescharacteristic
711C22#358611yescharacteristic
712C4—24no—
713C4—24no—
714C4—22no—
715C4—22no—
716C4—22no—
717C4—24no—
718C4—24no—
719C4—42no—
720C4—42no—
721C4—44no—
722C4—42no—
723C4—42no—
724C4—84no—
725C4—82no—
726C4—82no—
727C4#285714yes—
728C4#308114yescomplemented
729C4C22×C4⋊Q811yescharacteristic
730C4C2×#53211yescharacteristic
731C4C2×#53311yescharacteristic
732C4C2×#53311yescharacteristic
733C2—24no—
734C2—48no—
735C2C2×#285711yescharacteristic
736C2#6042811yescharacteristic
737C2#6042911yescharacteristic
738C2C2×#308111yescharacteristic
739C2#6049311yescharacteristic
740C2#6049411yescharacteristic
741C2#6049511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #35275C2semidirect
4. #33205C2semidirect
5. #33203C2semidirect
6. #33199C2semidirect
7. #33199C2semidirect
8. #33197C2semidirect
9. #33195C2semidirect
10. #21315C2semidirect
11. #21175C2semidirect
12. #21171C2semidirect
13. #21169C2semidirect
14. #20793C2semidirect
35. #2868C22semidirect
36. #2859C22semidirect
37. #2660C22semidirect
61. #1989C22semidirect
62. #1989C22semidirect
63. #1988C22semidirect
64. #1987C22semidirect
65. #1949C22semidirect
66. #1949C22semidirect
67. #1949C22semidirect
68. #1949C22semidirect
69. #1948C22semidirect
70. #1948C22semidirect
71. #1948C22semidirect
72. #1948C22semidirect
73. #1948C22semidirect
74. #1947C22semidirect
75. #1947C22semidirect
76. #1947C22semidirect
77. #1947C22semidirect
78. #1947C22semidirect
79. #1843C22semidirect
80. #1842C22semidirect
81. #1842C22semidirect
112. #518Q8semidirect
120. C2×C4×D4Q8semidirect
447. C2×D4C4⋊Q8semidirect
728. C4#3081semidirect

Maximal subgroups

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

subgroupindex
C2×#30812
#352752
C4×#5182
#332052
#332032
#331992
#331972
#331952
#213152
#211752
#211712
#211692
#207932
#206502
#206462
C2×#18022