Finite Group Databasebeta

← #764416

Subgroups — #764416

Order 512.

4194 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2404C211yesmaximal, characteristic
2C22×#399C211yesmaximal, characteristic, complemented
3C2×#2313C211yesmaximal, characteristic, complemented
4C2×#2311C211yesmaximal, characteristic, complemented
5#15855C214yesmaximal, complemented
6#15776C214yesmaximal, complemented
7#15380C214yesmaximal, complemented
8#15335C214yesmaximal, complemented
9#14729C212yesmaximal, complemented
10#14725C212yesmaximal, complemented
11#14128C211yesmaximal, characteristic, complemented
12#14019C212yesmaximal, complemented
13#13995C212yesmaximal, complemented
14#13956C211yesmaximal, characteristic, complemented
15#13868C211yesmaximal, characteristic, complemented
16C23×#41C2211yescharacteristic
17C22×#120C2212yes—
18C22×#117C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25#2404—28no—
26C2×#399—28no—
27C2×#399C2214yes—
28C2×#399C2214yes—
29C2×#396C2214yescomplemented
30C2×#394C2214yes—
31C2×#393C2212yes—
32C2×#392C2212yes—
33#2313—28no—
34#2311—28no—
35C2×#391C2212yescomplemented
36C2×#390C2214yes—
37C2×#390C2212yescomplemented
38C2×#388C2214yescomplemented
39C2×#387C2214yescomplemented
40C2×#387C2214yescomplemented
41C2×#386C2214yes—
42C2×#386C2212yes—
43C2×#386C2212yes—
44C2×#386C2212yes—
45C2×#386C2212yes—
46C2×#386C2212yes—
47C2×#385C2212yes—
48C2×#381C2211yescharacteristic
49C2×#381C2211yescharacteristic
50C2×#380C2212yes—
51C2×#380C2212yescomplemented
52C2×#380C2212yescomplemented
53C2×#379C2212yes—
54C2×C4×C22⋊C4C2212yes—
55C22×#95C2211yescharacteristic
56#1446C2212yescomplemented
57#1444C2212yescomplemented
58#1442C2212yescomplemented
59#1442C2214yescomplemented
60#1441C2214yescomplemented
61#1441C2214yescomplemented
62#1440C2214yes—
63#1439C2212yes—
64#1439C2212yes—
65#1439C2214yes—
66#1439C2214yes—
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1438C2214yes—
70#1438C2214yes—
71#1438C2212yescomplemented
72#1437C2214yes—
73#1437C2214yes—
74#1436C2214yescomplemented
75#1436C2214yescomplemented
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2214yescomplemented
79C26C2311yescharacteristic
80C22×#41—28no—
81C22×#41—24no—
82C22×#41—24no—
83C22×#41—24no—
84C22×#41—44no—
85C23×Q8C2311yescharacteristic
86C23×D4C2312yes—
87C23×D4C2311yescharacteristic
88C23×D4C2314yes—
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C2×#120—28no—
97C2×#120—28no—
98C2×#120—44no—
99C2×#117—24no—
100C2×#117—44no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4—24no—
103C22×C4⋊C4—24no—
104C22×C4⋊C4—24no—
105C22×C4⋊C4—44no—
106C22×C4⋊C4—44no—
107C22×C4⋊C4D418yescomplemented
108C22×C4⋊C4C2314yes—
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2314yes—
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C22⋊C4—24no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—24no—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—44no—
122C22×C22⋊C4—44no—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2314yes—
140C22×C42C2312yes—
141C22×C42C2314yes—
142#399—216no—
143#399—216no—
144#396—48no—
145#394—48no—
146#393—28no—
147#392—28no—
148#391—28no—
149#390—28no—
150#390—48no—
151#388—48no—
152#387—216no—
153#387—216no—
154#386—28no—
155#386—28no—
156#386—28no—
157#386—28no—
158#386—216no—
159#386—44no—
160#385—44no—
161#381—24no—
162#381D418yes—
163#380—28no—
164#380—28no—
165#380—28no—
166#379—44no—
167C4×C22⋊C4—28no—
168C2×#95—24no—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C25—22no—
190C25—24no—
191C25—22no—
192C25—22no—
193C25—24no—
194C25—24no—
195C25—42no—
196C25—42no—
197C25—42no—
198C25C2412yes—
199C25C2412yes—
200C25C2411yescharacteristic
201C2×#41—232no—
202C2×#41—432no—
203C2×#41—432no—
204C2×#41—416no—
205C2×#41—416no—
206C22×Q8—22no—
207C22×Q8—22no—
208C22×Q8—24no—
209C22×Q8—22no—
210C22×Q8—42no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—28no—
219C22×D4—28no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—28no—
223C22×D4—22no—
224C22×D4—42no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4#4118yes—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—22no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4C2×D414yes—
261C23×C4C2×D414yes—
262C23×C4C2×D414yes—
263C23×C4C2×D414yes—
264C23×C4#4114yes—
265C23×C4C2412yes—
266C23×C4C2414yes—
267C23×C4C2412yes—
268C23×C4C2412yes—
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2414yes—
272C23×C4C2412yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277#120—432no—
278#117—416no—
279C2×C4⋊C4—232no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—42no—
296C2×C4⋊C4—416no—
297C2×C4⋊C4—416no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4C2×D418yes—
303C2×C4⋊C4C2×D418yes—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—416no—
338C2×C22⋊C4—416no—
339C2×C22⋊C4—416no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4C2×D418yes—
354C2×C42—24no—
355C2×C42—28no—
356C2×C42—42no—
357C2×C42—42no—
358C2×C42—44no—
359C2×C42—44no—
360#95—24no—
361#95—24no—
362#95—28no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—28no—
368#95—24no—
369#95—24no—
370#95—28no—
371#95—28no—
372#95—28no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95C2×D418yes—
379#95C2×D418yes—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—28no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—24no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—24no—
395C24—24no—
396C24—24no—
397C24—24no—
398C24—22no—
399C24—22no—
400C24—24no—
401C24—22no—
402C24—24no—
403C24—22no—
404C24—22no—
405C24—48no—
406C24—48no—
407C24—416no—
408C24—416no—
409C24—44no—
410C24—44no—
411C24—44no—
412C24—44no—
413C24—44no—
414C24—44no—
415C24—48no—
416C24—48no—
417C24—84no—
418C24—84no—
419C24—88no—
420C24—88no—
421C24C22×D412yes—
422C24C22×D412yes—
423C24C2×#4114yes—
424C24C2×#4112yes—
425C24C2×#4114yes—
426C24H(5,𝔽2)14yes—
427C242−1+414yes—
428C24C2511yescharacteristic
429#41—4128no—
430C2×Q8—28no—
431C2×Q8—48no—
432C2×Q8—48no—
433C2×Q8—44no—
434C2×Q8—44no—
435C2×D4—28no—
436C2×D4—216no—
437C2×D4—216no—
438C2×D4—216no—
439C2×D4—48no—
440C2×D4—48no—
441C2×D4—44no—
442C2×D4—416no—
443C2×D4—416no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—416no—
449C2×D4—44no—
450C2×D4—88no—
451C2×D4—88no—
452C2×D4—88no—
453C2×D4—88no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—216no—
457C22×C4—216no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—28no—
463C22×C4—28no—
464C22×C4—216no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—28no—
494C22×C4—28no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—416no—
524C22×C4—416no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—48no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—84no—
537C22×C4—84no—
538C22×C4—84no—
539C22×C4—84no—
540C22×C4—84no—
541C22×C4—84no—
542C22×C4#121116yes—
543C22×C4C22×D418yes—
544C22×C4C22×D414yes—
545C22×C4C22×D414yes—
546C22×C4C22×D412yes—
547C22×C4C22×D412yes—
548C22×C4C22×D412yes—
549C22×C4C22×D412yes—
550C22×C4C2×#4114yes—
551C22×C4C2×#4112yes—
552C22×C4C2×#4112yes—
553C22×C4H(5,𝔽2)14yes—
554C22×C4H(5,𝔽2)14yes—
555C4⋊C4—216no—
556C4⋊C4—216no—
557C4⋊C4—416no—
558C4⋊C4—416no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—88no—
562C4⋊C4—88no—
563C22⋊C4—216no—
564C22⋊C4—416no—
565C22⋊C4—416no—
566C22⋊C4—416no—
567C22⋊C4—416no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C22⋊C4—84no—
576C22⋊C4—88no—
577C22⋊C4—88no—
578C22⋊C4—88no—
579C22⋊C4—88no—
580C42—48no—
581C42—88no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—28no—
591C23—28no—
592C23—28no—
593C23—28no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—28no—
601C23—28no—
602C23—28no—
603C23—28no—
604C23—416no—
605C23—416no—
606C23—416no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—44no—
613C23—42no—
614C23—42no—
615C23—44no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—44no—
624C23—42no—
625C23—44no—
626C23—42no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—832no—
644C23—832no—
645C23—88no—
646C23—88no—
647C23—88no—
648C23—88no—
649C23C2×#12114yes—
650C23#52514yes—
651C23#53514yes—
652C23#54618yes—
653C23#55118yes—
654C23C23×D411yescharacteristic
655C23C23×D411yescharacteristic
656C23C22×#4111yescharacteristic
657C23C22×#4112yes—
658C23C2×H(5,𝔽2)12yes—
659C23C2×H(5,𝔽2)12yes—
660C23C2×H(5,𝔽2)12yes—
661C23C2×2−1+412yes—
662C23#58512yes—
663Q8—416no—
664D4—416no—
665D4—432no—
666D4—832no—
667C2×C4—232no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—28no—
691C2×C4—28no—
692C2×C4—432no—
693C2×C4—416no—
694C2×C4—416no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—88no—
736C2×C4—88no—
737C2×C4—88no—
738C2×C4C2×#12114yes—
739C2×C4C2×#12114yes—
740C22—24no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—216no—
746C22—24no—
747C22—216no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—48no—
755C22—48no—
756C22—48no—
757C22—48no—
758C22—832no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—84no—
766C22—84no—
767C22—82no—
768C22—82no—
769C22—84no—
770C22—84no—
771C22#241118yes—
772C22C22×#12111yescharacteristic
773C22C2×#52511yescharacteristic
774C22C2×#53511yescharacteristic
775C22C2×#54612yes—
776C22C2×#55112yes—
777C22#348411yescharacteristic
778C22#348411yescharacteristic
779C22#348611yescharacteristic
780C22#348711yescharacteristic
781C22#348912yes—
782C22#349512yes—
783C22#349812yes—
784C22#350812yes—
785C22#351314yes—
786C22#352014yes—
787C22#353414yes—
788C22#353614yes—
789C4—24no—
790C4—24no—
791C4—44no—
792C4—44no—
793C4—44no—
794C4—44no—
795C4—44no—
796C4—48no—
797C4—82no—
798C4—82no—
799C4—82no—
800C4—84no—
801C2—28no—
802C2—84no—
803C2—84no—
804C2C2×#241111yescharacteristic
805C2#3535611yescharacteristic
806C2#3535711yescharacteristic
807C2#3552811yescharacteristic
808C2#3566111yescharacteristic
809C2#3670711yescharacteristic
810C2#3671011yescharacteristic
811C2#4397514yes—
812C2#4402214yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2404C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#399C2semidirect
3. C2×#2313C2semidirect
4. C2×#2311C2semidirect
5. #15855C2semidirect
6. #15776C2semidirect
7. #15380C2semidirect
8. #15335C2semidirect
9. #14729C2semidirect
10. #14725C2semidirect
11. #14128C2semidirect
12. #14019C2semidirect
13. #13995C2semidirect
14. #13956C2semidirect
15. #13868C2semidirect
29. C2×#396C22semidirect
35. C2×#391C22semidirect
37. C2×#390C22semidirect
38. C2×#388C22semidirect
39. C2×#387C22semidirect
40. C2×#387C22semidirect
51. C2×#380C22semidirect
52. C2×#380C22semidirect
56. #1446C22semidirect
57. #1444C22semidirect
58. #1442C22semidirect
59. #1442C22semidirect
60. #1441C22semidirect
61. #1441C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
71. #1438C22semidirect
74. #1436C22semidirect
75. #1436C22semidirect
78. C22⋊#95C22semidirect
107. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24042
C22×#3992
C2×#23132
C2×#23112
#158552
#157762
#153802
#153352
#147292
#147252
#141282
#140192
#139952
#139562
#138682