Finite Group Databasebeta

← #823471

Subgroups — #823471

Order 512.

3512 conjugacy classes of subgroups.

The subgroup lattice has 803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2489C211yesmaximal, characteristic, complemented
2C2×#2442C212yesmaximal, complemented
3C2×#2417C212yesmaximal, complemented
4C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
5#16964C212yesmaximal, complemented
6#15526C214yesmaximal, complemented
7#15513C214yesmaximal, complemented
8#15240C211yesmaximal, characteristic, complemented
9#15177C211yesmaximal, characteristic, complemented
10#15135C211yesmaximal, characteristic, complemented
11#14870C212yesmaximal, complemented
12#14796C212yesmaximal
13#13997C212yesmaximal, complemented
14#13905C212yesmaximal, complemented
15#13905C212yesmaximal, complemented
16C4×#392C211yesmaximal, characteristic
17#13821C211yesmaximal, characteristic, complemented
18C22×#125C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2212yes—
23C22×C4×D4C2212yes—
24C23×C4⋊C4C2212yes—
25#2489—28no—
26#2442—216no—
27#2417—216no—
28C2×#400C2214yes—
29C2×#400C2212yes—
30C2×#399C2212yes—
31C2×#398C2214yes—
32C2×#398C2214yes—
33C2×#397C2212yes—
34C2×#396C2214yes—
35C2×#392C2211yescharacteristic
36D4×C4⋊C4—28no—
37C2×#391C2211yescharacteristic
38C2×#391C2212yes—
39C2×#391C2211yescharacteristic
40C2×#389C2212yes—
41C2×#389C2212yes—
42C2×#389C2212yes—
43C2×#388C2212yes—
44C2×#386C2214yes—
45C2×#385C2214yes—
46C2×#385C2214yes—
47C2×#384C2211yescharacteristic
48C2×#382C2212yes—
49C2×#382C2212yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×#380C2211yescharacteristic
54C2×#380C2214yes—
55C2×#380C2214yes—
56C2×C4×C4⋊C4C2212yes—
57C2×C4×C4⋊C4C2212yes—
58C2×C4×C4⋊C4C2211yescharacteristic
59C2×C4×C22⋊C4C2211yescharacteristic
60C2×C4×C22⋊C4C2212yes—
61#1445C2212yes—
62#1445C2212yes—
63#1445C2214yes—
64#1445C2212yes—
65#1445C2214yes—
66#1445C2214yes—
67#1444C2212yes—
68#1444C2212yes—
69#1444C2211yescharacteristic
70#1439C2211yescharacteristic
71#1439C2212yes—
72#1439C2212yes—
73#1439C2214yes—
74#1439C2214yes—
75#1438C2211yescharacteristic
76#1438C2212yes—
77#1438C2212yes—
78#1438C2214yes—
79#1437C2214yes—
80#1437C2214yes—
81#1437C2214yes—
82#1436C2214yes—
83C4⋊#95C2214yes—
84C4⋊#95C2211yescharacteristic
85#1434C2212yes—
86C4×#95C2211yescharacteristic
87C23×Q8C2311yescharacteristic
88C23×D4C2311yescharacteristic
89C23×D4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C24×C4C2314yes—
93C2×#125—28no—
94C2×#125—24no—
95C2×C22⋊Q8—28no—
96C2×C22⋊Q8—28no—
97C2×C22⋊Q8—28no—
98C2×C22⋊Q8—24no—
99C2×C22⋊Q8—44no—
100C2×C4×D4—28no—
101C2×C4×D4—28no—
102C2×C4×D4—28no—
103C2×C4×D4—24no—
104C2×C4×D4—28no—
105C2×C4×D4—28no—
106C2×C4×D4—44no—
107C2×C4×D4—44no—
108C22×C4⋊C4—28no—
109C22×C4⋊C4—28no—
110C22×C4⋊C4—28no—
111C22×C4⋊C4C2314yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2311yescharacteristic
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2311yescharacteristic
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2314yes—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2312yes—
143C22×C42C2312yes—
144C22×C42C2314yes—
145#400—216no—
146#400—28no—
147#399—44no—
148#398—216no—
149#398—216no—
150#397—28no—
151#396—216no—
152#392—24no—
153#391—24no—
154#391—28no—
155#391—24no—
156#389—28no—
157#389—28no—
158#389D4116yescomplemented
159#388—28no—
160#386—216no—
161#385—216no—
162#385—216no—
163#384—24no—
164#382—28no—
165#382—28no—
166#380—28no—
167#380—28no—
168#380—216no—
169#380—216no—
170#380—28no—
171#380—24no—
172C4×C4⋊C4—44no—
173C4×C4⋊C4—44no—
174C4×C4⋊C4D418yescomplemented
175C4×C22⋊C4—28no—
176C4×C22⋊C4—24no—
177C2×#95C2311yescharacteristic
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2311yescharacteristic
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2311yescharacteristic
194C2×#95C2314yes—
195C2×#95C2311yescharacteristic
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2314yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C2×#95C2314yes—
202C25C2411yescharacteristic
203C25C2412yes—
204C22×Q8—24no—
205C22×Q8—22no—
206C22×Q8—24no—
207C22×Q8—22no—
208C22×Q8—22no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—22no—
216C22×D4—24no—
217C22×D4—22no—
218C22×D4—42no—
219C22×D4—42no—
220C22×D4#4114yes—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—28no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—24no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—28no—
234C23×C4—28no—
235C23×C4—28no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4—44no—
239C23×C4#4118yes—
240C23×C4C2411yescharacteristic
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2411yescharacteristic
244C23×C4C2414yes—
245C23×C4C2411yescharacteristic
246C23×C4C2414yes—
247C23×C4C2411yescharacteristic
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2411yescharacteristic
254C23×C4C2411yescharacteristic
255#125—416no—
256C22⋊Q8—432no—
257C22⋊Q8—416no—
258C4×D4—232no—
259C4×D4—432no—
260C4×D4—432no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—28no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—432no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4C2×D418yes—
299C2×C4⋊C4C2×D414yes—
300C2×C4⋊C4C2×D4116yes—
301C2×C4⋊C4C2×D414yes—
302C2×C4⋊C4C2×D418yes—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—22no—
323C2×C22⋊C4—22no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—22no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—41no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C42—24no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—22no—
348C2×C42—44no—
349C2×C42—44no—
350C2×C42—44no—
351C2×C42C2×D414yes—
352C2×C42C2×D418yes—
353C2×C42C2×D418yes—
354#95—22no—
355#95—24no—
356#95—24no—
357#95—22no—
358#95—28no—
359#95—28no—
360#95—24no—
361#95—28no—
362#95—28no—
363#95—28no—
364#95—28no—
365#95—28no—
366#95—24no—
367#95—24no—
368#95—28no—
369#95—24no—
370#95—24no—
371#95—22no—
372#95—22no—
373#95—24no—
374#95—42no—
375#95—42no—
376#95—44no—
377#95C2×D418yes—
378#95C2×D4116yes—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—21no—
392C24—22no—
393C24—22no—
394C24—21no—
395C24—21no—
396C24—21no—
397C24—21no—
398C24—22no—
399C24—21no—
400C24—22no—
401C24C2×#4114yes—
402C24C2×#4114yes—
403C242−1+412yes—
404C242−1+414yes—
405C24C2511yescharacteristic
406C2×Q8—44no—
407C2×Q8—44no—
408C2×Q8—44no—
409C2×Q8—48no—
410C2×Q8—48no—
411C2×D4—28no—
412C2×D4—28no—
413C2×D4—216no—
414C2×D4—216no—
415C2×D4—216no—
416C2×D4—28no—
417C2×D4—48no—
418C2×D4—48no—
419C2×D4—48no—
420C2×D4—48no—
421C2×D4—48no—
422C2×D4—48no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—24no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—24no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—24no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—216no—
463C22×C4—216no—
464C22×C4—216no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—24no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—416no—
498C22×C4—416no—
499C22×C4—416no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—44no—
505C22×C4—416no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—88no—
511C22×C4—88no—
512C22×C4—88no—
513C22×C4C22×D414yes—
514C22×C4C22×D414yes—
515C22×C4C22×D414yes—
516C22×C4C22×D412yes—
517C22×C4C22×D418yes—
518C22×C4C22×D414yes—
519C22×C4C22×D418yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D414yes—
523C22×C4C2×#4114yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4114yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C42−1+412yes—
529C4⋊C4—28no—
530C4⋊C4—28no—
531C4⋊C4—216no—
532C4⋊C4—416no—
533C4⋊C4—48no—
534C4⋊C4—416no—
535C4⋊C4—416no—
536C4⋊C4—48no—
537C4⋊C4—48no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—44no—
541C4⋊C4—48no—
542C4⋊C4—88no—
543C4⋊C4—84no—
544C4⋊C4#127116yes—
545C22⋊C4—216no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—416no—
550C22⋊C4—44no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—48no—
556C22⋊C4—44no—
557C22⋊C4—88no—
558C42—28no—
559C42—216no—
560C42—216no—
561C42—44no—
562C42—88no—
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—24no—
580C23—24no—
581C23—24no—
582C23—22no—
583C23—24no—
584C23—22no—
585C23—22no—
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—42no—
601C23—42no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—42no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—41no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—41no—
615C23—42no—
616C23—41no—
617C23—42no—
618C23—41no—
619C23—42no—
620C23#55218yes—
621C23C23×D411yescharacteristic
622C23C23×D412yes—
623C23C22×#4112yes—
624C23C22×#4111yescharacteristic
625C23C2×H(5,𝔽2)11yescharacteristic
626C23C2×H(5,𝔽2)11yescharacteristic
627C23C2×2−1+411yescharacteristic
628C23C2×2−1+412yes—
629C23C2×2−1+411yescharacteristic
630C23#58512yes—
631C23#58511yescharacteristic
632Q8—88no—
633D4—232no—
634D4—432no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—28no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—28no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—28no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—28no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—432no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—41no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—41no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—41no—
716C2×C4—832no—
717C2×C4—88no—
718C2×C4#52514yes—
719C2×C4C2×#12718yes—
720C2×C4C2×#12714yes—
721C2×C4#53714yes—
722C2×C4#54614yes—
723C2×C4#54618yes—
724C2×C4#54818yes—
725C22—28no—
726C22—28no—
727C22—28no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—42no—
742C22—44no—
743C22—42no—
744C22—42no—
745C22—82no—
746C22—81no—
747C22—82no—
748C22—81no—
749C22—81no—
750C22—81no—
751C22C2×#52511yescharacteristic
752C22C22×#12711yescharacteristic
753C22C2×#53711yescharacteristic
754C22C2×#54612yes—
755C22C2×#54611yescharacteristic
756C22C2×#54812yes—
757C22D4×#4112yes—
758C22C2×#55212yes—
759C22#348611yescharacteristic
760C22#348612yes—
761C22#348912yes—
762C22#348911yescharacteristic
763C22#349212yes—
764C22#349512yes—
765C22#349612yes—
766C22#350011yescharacteristic
767C22#351212yes—
768C22#351511yescharacteristic
769C22#352011yescharacteristic
770C22#354112yes—
771C22#354611yescharacteristic
772C22#355211yescharacteristic
773C22#356312yes—
774C4—24no—
775C4—28no—
776C4—44no—
777C4—48no—
778C4—44no—
779C4—44no—
780C4—42no—
781C4—44no—
782C4—81no—
783C4—82no—
784C4—81no—
785C4—82no—
786C4—81no—
787C4—84no—
788C4#254018yes—
789C2—48no—
790C2—82no—
791C2C2×#254011yescharacteristic
792C2#3592711yescharacteristic
793C2#3608011yescharacteristic
794C2#3616311yescharacteristic
795C2#3626011yescharacteristic
796C2#3890811yescharacteristic
797C2#4279011yescharacteristic
798C2#4510412yes—
799C2#4510912yes—
800C2#5902712yes—
801C2#5914012yes—
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×#2489C2semidirect
2. C2×#2442C2semidirect
3. C2×#2417C2semidirect
4. C2×D4×C4⋊C4C2semidirect
5. #16964C2semidirect
6. #15526C2semidirect
7. #15513C2semidirect
8. #15240C2semidirect
9. #15177C2semidirect
10. #15135C2semidirect
11. #14870C2semidirect
13. #13997C2semidirect
14. #13905C2semidirect
15. #13905C2semidirect
17. #13821C2semidirect
158. #389D4semidirect
174. C4×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24892
C2×#24422
C2×#24172
C2×D4×C4⋊C42
#169642
#155262
#155132
#152402
#151772
#151352
#148702
#147962
#139972
#139052
C4×#3922
#138212