Finite Group Databasebeta

← #823428

Subgroups — #823428

Order 512.

3412 conjugacy classes of subgroups.

The subgroup lattice has 801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2417C212yesmaximal, complemented
2C2×#2362C211yesmaximal, characteristic, complemented
3C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
4#16518C212yesmaximal, complemented
5#15786C214yesmaximal, complemented
6#15308C214yesmaximal, complemented
7#15185C211yesmaximal, characteristic, complemented
8#15177C211yesmaximal, characteristic, complemented
9#15150C211yesmaximal, characteristic, complemented
10#15106C212yesmaximal, complemented
11#14795C212yesmaximal
12#13969C212yesmaximal, complemented
13#13918C211yesmaximal, characteristic, complemented
14#13907C212yesmaximal, complemented
15#13905C212yesmaximal, complemented
16#13871C212yesmaximal, complemented
17C4×#392C211yesmaximal, characteristic
18C22×C22⋊Q8C2212yes—
19C22×C22⋊Q8C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2212yes—
23C22×C4×D4C2212yes—
24C22×#117C2211yescharacteristic
25C23×C4⋊C4C2212yes—
26#2417—216no—
27C2×#398C2214yes—
28C2×#397C2212yes—
29C2×#397C2212yes—
30C2×#396C2214yes—
31C2×#392C2211yescharacteristic
32#2362—28no—
33D4×C4⋊C4—28no—
34C2×#391C2211yescharacteristic
35C2×#391C2212yes—
36C2×#389C2212yes—
37C2×#389C2211yescharacteristic
38C2×#389C2212yes—
39C2×#388C2212yes—
40C2×#388C2212yes—
41C2×#387C2212yes—
42C2×#386C2214yes—
43C2×#385C2214yes—
44C2×#384C2211yescharacteristic
45C2×#382C2212yes—
46C2×#380C2212yes—
47C2×#380C2212yes—
48C2×#380C2214yes—
49C2×#380C2212yes—
50C2×#380C2214yes—
51C2×C4×C4⋊C4C2212yes—
52C2×C4×C4⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4C2211yescharacteristic
54C2×C4×C22⋊C4C2212yes—
55#1445C2212yes—
56#1445C2212yes—
57#1445C2212yes—
58#1445C2212yes—
59#1444C2211yescharacteristic
60#1444C2212yes—
61#1442C2214yes—
62#1442C2214yes—
63#1441C2214yes—
64#1441C2214yes—
65#1441C2214yes—
66#1440C2214yes—
67#1439C2211yescharacteristic
68#1439C2212yes—
69#1439C2214yes—
70#1439C2214yes—
71#1438C2211yescharacteristic
72#1438C2212yes—
73#1438C2214yes—
74#1438C2212yes—
75#1437C2214yes—
76#1437C2214yes—
77#1436C2214yes—
78#1436C2214yes—
79C4⋊#95C2211yescharacteristic
80C4⋊#95C2212yes—
81C4⋊#95C2212yes—
82C4⋊#95C2212yes—
83#1434C2212yes—
84C22⋊#95C2214yes—
85C4×#95C2211yescharacteristic
86C23×Q8C2311yescharacteristic
87C23×D4C2311yescharacteristic
88C23×D4C2312yes—
89C24×C4C2311yescharacteristic
90C24×C4C2312yes—
91C24×C4C2314yes—
92C2×C22⋊Q8—28no—
93C2×C22⋊Q8—28no—
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—44no—
97C2×C22⋊Q8D418yescomplemented
98C2×C4×Q8—24no—
99C2×C4×Q8—44no—
100C2×C4×D4—28no—
101C2×C4×D4—28no—
102C2×C4×D4—28no—
103C2×C4×D4—28no—
104C2×C4×D4—24no—
105C2×C4×D4—28no—
106C2×C4×D4—44no—
107C2×C4×D4—44no—
108C2×#117—24no—
109C2×#117—44no—
110C22×C4⋊C4—28no—
111C22×C4⋊C4—28no—
112C22×C4⋊C4—28no—
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4C2311yescharacteristic
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2311yescharacteristic
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2314yes—
141C22×C42C2312yes—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2312yes—
145C22×C42C2312yes—
146C22×C42C2312yes—
147#398—216no—
148#397—44no—
149#397—44no—
150#396—216no—
151#392—24no—
152#391—28no—
153#391—24no—
154#389—24no—
155#389—28no—
156#389—28no—
157#388—28no—
158#388—28no—
159#387—28no—
160#386—216no—
161#385—216no—
162#384—24no—
163#382—44no—
164#380—28no—
165#380—28no—
166#380—216no—
167#380—48no—
168#380—44no—
169C4×C4⋊C4—28no—
170C4×C4⋊C4D418yescomplemented
171C4×C22⋊C4—24no—
172C4×C22⋊C4—44no—
173C2×#95C2311yescharacteristic
174C2×#95C2314yes—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2311yescharacteristic
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2311yescharacteristic
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2311yescharacteristic
189C2×#95C2314yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2312yes—
195C2×#95C2314yes—
196C2×#95C2312yes—
197C2×#95C2312yes—
198C25C2411yescharacteristic
199C25C2412yes—
200C22×Q8—22no—
201C22×Q8—22no—
202C22×Q8—24no—
203C22×Q8—24no—
204C22×Q8C2×D414yes—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—24no—
214C22×D4—42no—
215C22×D4—42no—
216C22×D4#4114yes—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—22no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—28no—
228C23×C4—28no—
229C23×C4—28no—
230C23×C4—28no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4C2×D414yes—
235C23×C4#4118yes—
236C23×C4C2414yes—
237C23×C4C2411yescharacteristic
238C23×C4C2412yes—
239C23×C4C2412yes—
240C23×C4C2414yes—
241C23×C4C2412yes—
242C23×C4C2411yescharacteristic
243C23×C4C2412yes—
244C23×C4C2411yescharacteristic
245C23×C4C2412yes—
246C23×C4C2411yescharacteristic
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C22⋊Q8—232no—
252C22⋊Q8—432no—
253C4×Q8—416no—
254C4×D4—232no—
255C4×D4—432no—
256C4×D4—432no—
257#117—416no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—28no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—42no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—432no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4C2×D414yes—
296C2×C4⋊C4C2×D418yes—
297C2×C4⋊C4C2×D414yes—
298C2×C4⋊C4C2×D414yes—
299C2×C4⋊C4#4114yes—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—28no—
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—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—22no—
321C2×C22⋊C4—22no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—41no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4C2×D418yes—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—24no—
343C2×C42—22no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—44no—
349C2×C42—44no—
350C2×C42C2×D414yes—
351C2×C42C2×D418yes—
352#95—22no—
353#95—22no—
354#95—24no—
355#95—28no—
356#95—28no—
357#95—28no—
358#95—28no—
359#95—28no—
360#95—24no—
361#95—24no—
362#95—22no—
363#95—28no—
364#95—22no—
365#95—24no—
366#95—24no—
367#95—28no—
368#95—44no—
369#95—42no—
370#95—42no—
371#95—44no—
372#95—44no—
373#95—44no—
374#95—42no—
375#95—44no—
376#95C2×D418yes—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—21no—
390C24—21no—
391C24—22no—
392C24—21no—
393C24—21no—
394C24—21no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—21no—
399C24C22×D412yes—
400C24C2×#4114yes—
401C24C2×#4114yes—
402C242−1+414yes—
403C24C2511yescharacteristic
404C2×Q8—28no—
405C2×Q8—216no—
406C2×Q8—44no—
407C2×Q8—44no—
408C2×Q8—48no—
409C2×D4—28no—
410C2×D4—28no—
411C2×D4—216no—
412C2×D4—216no—
413C2×D4—216no—
414C2×D4—28no—
415C2×D4—48no—
416C2×D4—48no—
417C2×D4—48no—
418C2×D4—48no—
419C2×D4—48no—
420C2×D4—48no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—21no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—28no—
460C22×C4—216no—
461C22×C4—216no—
462C22×C4—216no—
463C22×C4—216no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—416no—
496C22×C4—416no—
497C22×C4—416no—
498C22×C4—48no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—416no—
506C22×C4—88no—
507C22×C4—88no—
508C22×C4—88no—
509C22×C4C22×D414yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D414yes—
513C22×C4C22×D414yes—
514C22×C4C22×D414yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C2×#4114yes—
519C22×C4C2×#4114yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4114yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4H(5,𝔽2)14yes—
526C22×C42−1+414yes—
527C4⋊C4—28no—
528C4⋊C4—216no—
529C4⋊C4—28no—
530C4⋊C4—48no—
531C4⋊C4—48no—
532C4⋊C4—416no—
533C4⋊C4—48no—
534C4⋊C4—416no—
535C4⋊C4—48no—
536C4⋊C4—44no—
537C4⋊C4—48no—
538C4⋊C4—48no—
539C4⋊C4—88no—
540C4⋊C4—84no—
541C4⋊C4#121116yes—
542C22⋊C4—216no—
543C22⋊C4—216no—
544C22⋊C4—44no—
545C22⋊C4—48no—
546C22⋊C4—48no—
547C22⋊C4—416no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—416no—
551C22⋊C4—48no—
552C22⋊C4—44no—
553C22⋊C4—88no—
554C22⋊C4—88no—
555C42—28no—
556C42—216no—
557C42—48no—
558C42—48no—
559C42—44no—
560C42—48no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—22no—
580C23—24no—
581C23—22no—
582C23—24no—
583C23—22no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—41no—
611C23—42no—
612C23—41no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23#55218yes—
619C23C23×D411yescharacteristic
620C23C23×D411yescharacteristic
621C23C22×#4111yescharacteristic
622C23C22×#4112yes—
623C23C22×#4111yescharacteristic
624C23C2×H(5,𝔽2)12yes—
625C23C2×H(5,𝔽2)11yescharacteristic
626C23C2×H(5,𝔽2)11yescharacteristic
627C23C2×2−1+412yes—
628C23C2×2−1+412yes—
629C23#58511yescharacteristic
630Q8—416no—
631D4—232no—
632D4—432no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—28no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—432no—
683C2×C4—416no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—41no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—832no—
716C2×C4C2×#12118yes—
717C2×C4C2×#12114yes—
718C2×C4#52514yes—
719C2×C4#53514yes—
720C2×C4#54614yes—
721C2×C4#54618yes—
722C2×C4#55318yes—
723C22—28no—
724C22—28no—
725C22—28no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—42no—
739C22—44no—
740C22—42no—
741C22—44no—
742C22—42no—
743C22—81no—
744C22—82no—
745C22—81no—
746C22—81no—
747C22—82no—
748C22—81no—
749C22C22×#12111yescharacteristic
750C22C2×#52511yescharacteristic
751C22C2×#53511yescharacteristic
752C22C2×#54611yescharacteristic
753C22C2×#54612yes—
754C22D4×#4111yescharacteristic
755C22C2×#55212yes—
756C22C2×#55312yes—
757C22#348111yescharacteristic
758C22#348611yescharacteristic
759C22#348612yes—
760C22#348811yescharacteristic
761C22#349212yes—
762C22#349512yes—
763C22#349811yescharacteristic
764C22#349911yescharacteristic
765C22#351112yes—
766C22#351411yescharacteristic
767C22#352012yes—
768C22#352312yes—
769C22#353612yes—
770C22#354112yes—
771C22#354812yes—
772C4—24no—
773C4—28no—
774C4—44no—
775C4—42no—
776C4—42no—
777C4—44no—
778C4—44no—
779C4—44no—
780C4—42no—
781C4—81no—
782C4—82no—
783C4—82no—
784C4—84no—
785C4—84no—
786C4#253518yes—
787C2—48no—
788C2—82no—
789C2C2×#253511yescharacteristic
790C2#3570011yescharacteristic
791C2#3608911yescharacteristic
792C2#3616311yescharacteristic
793C2#3625811yescharacteristic
794C2#3895111yescharacteristic
795C2#4281011yescharacteristic
796C2#4491512yes—
797C2#4497712yes—
798C2#5902712yes—
799C2#5944012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#392C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2417C2semidirect
2. C2×#2362C2semidirect
3. C2×D4×C4⋊C4C2semidirect
4. #16518C2semidirect
5. #15786C2semidirect
6. #15308C2semidirect
7. #15185C2semidirect
8. #15177C2semidirect
9. #15150C2semidirect
10. #15106C2semidirect
12. #13969C2semidirect
13. #13918C2semidirect
14. #13907C2semidirect
15. #13905C2semidirect
16. #13871C2semidirect
97. C2×C22⋊Q8D4semidirect
170. C4×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24172
C2×#23622
C2×D4×C4⋊C42
#165182
#157862
#153082
#151852
#151772
#151502
#151062
#147952
#139692
#139182
#139072
#139052
#138712
C4×#3922