Finite Group Databasebeta

← #729127

Subgroups — #729127

Order 512.

2972 conjugacy classes of subgroups.

The subgroup lattice has 789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2538C211yesmaximal, characteristic, complemented
2C2×#2396C211yesmaximal, characteristic, complemented
3C2×#2357C211yesmaximal, characteristic, complemented
4C2×#2324C211yesmaximal, characteristic
5#16394C212yesmaximal, complemented
6#16263C212yesmaximal, complemented
7#15621C214yesmaximal, complemented
8#15615C214yesmaximal, complemented
9#15147C212yesmaximal, complemented
10#15130C212yesmaximal
11#14839C212yesmaximal, complemented
12#14763C212yesmaximal, complemented
13#14340C211yesmaximal, characteristic, complemented
14#14151C212yesmaximal, complemented
15#13993C212yesmaximal, complemented
16#13925C211yesmaximal, characteristic, complemented
17#13910C211yesmaximal, characteristic, complemented
18C22×C22⋊Q8C2212yes—
19C22×#121C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23#2538—28no—
24#2396—28no—
25C2×#400C2211yescharacteristic
26C2×#399C2211yescharacteristic
27C2×#398C2212yes—
28C2×#397C2214yes—
29C2×#396C2214yes—
30C2×#396C2212yes—
31C2×#395C2211yescharacteristic
32C2×#394C2214yes—
33C2×#394C2214yes—
34C2×#393C2211yescharacteristic
35#2357—28no—
36#2324—28no—
37C2×#390C2211yescharacteristic
38C2×#390C2212yes—
39C2×#390C2212yes—
40C2×#390C2212yes—
41C2×#389C2211yescharacteristic
42C2×#389C2212yes—
43C2×#389C2214yes—
44C2×#389C2214yes—
45C2×#388C2212yes—
46C2×#388C2214yes—
47C2×#386C2212yes—
48C2×#385C2212yes—
49C2×#384C2211yescharacteristic
50C2×#384C2212yes—
51C2×#382C2211yescharacteristic
52C2×#381C2212yes—
53C2×#380C2212yes—
54C2×#380C2212yes—
55C2×#380C2211yescharacteristic
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C4⋊C4C2212yes—
58C2×C4×C4⋊C4C2212yes—
59C2×C4×C4⋊C4C2211yescharacteristic
60C2×C4×C22⋊C4C2212yes—
61C2×C4×C22⋊C4C2212yes—
62#1446C2212yes—
63#1445C2212yes—
64#1444C2212yes—
65#1444C2212yes—
66#1443C2214yes—
67#1441C2212yes—
68#1441C2212yes—
69#1441C2214yes—
70#1441C2214yes—
71#1440C2214yes—
72#1440C2214yes—
73#1439C2212yes—
74#1439C2212yes—
75#1439C2214yes—
76#1439C2214yes—
77#1439C2214yes—
78#1439C2214yes—
79#1437C2214yes—
80#1436C2214yes—
81#1436C2214yes—
82C4⋊#95C2212yes—
83C4⋊#95C2214yes—
84C4⋊#95C2212yes—
85C4⋊#95C2212yes—
86C4⋊#95C2212yes—
87C23×Q8C2311yescharacteristic
88C23×D4C2311yescharacteristic
89C23×D4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C2×C22⋊Q8—28no—
93C2×C22⋊Q8—48no—
94C2×#121—24no—
95C2×#121—24no—
96C2×#121—24no—
97C2×C4×Q8—24no—
98C2×C4×Q8—24no—
99C2×C4×Q8—24no—
100C2×C4×D4—24no—
101C2×C4×D4—24no—
102C2×C4×D4D418yes—
103C2×#117—24no—
104C2×#117—24no—
105C2×#117—24no—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C22⋊C4C2311yescharacteristic
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C42C2311yescharacteristic
139C22×C42C2312yes—
140C22×C42C2312yes—
141C22×C42C2314yes—
142C22×C42C2312yes—
143C22×C42C2311yescharacteristic
144#400—24no—
145#399—24no—
146#398—28no—
147#397—48no—
148#396—28no—
149#396—216no—
150#395—24no—
151#394—48no—
152#394—48no—
153#393—24no—
154#390—24no—
155#390—28no—
156#390—28no—
157#390—28no—
158#389—24no—
159#389—28no—
160#389—48no—
161#389—48no—
162#388—216no—
163#388—28no—
164#386—28no—
165#385—28no—
166#384—28no—
167#384—24no—
168#382—24no—
169#381—28no—
170#380—28no—
171#380—28no—
172#380—24no—
173C4×C4⋊C4—24no—
174C4×C4⋊C4—28no—
175C4×C4⋊C4—28no—
176C4×C4⋊C4D418yescomplemented
177C4×C22⋊C4—28no—
178C4×C22⋊C4—28no—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2311yescharacteristic
200C2×#95C2311yescharacteristic
201C25C2412yes—
202C25C2411yescharacteristic
203C22×Q8—22no—
204C22×Q8—22no—
205C22×Q8—22no—
206C22×Q8—24no—
207C22×Q8—42no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—24no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4C2×D414yes—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4C2×D418yes—
231C23×C4#4114yes—
232C23×C4C2414yes—
233C23×C4C2411yescharacteristic
234C23×C4C2411yescharacteristic
235C23×C4C2412yes—
236C23×C4C2414yes—
237C23×C4C2412yes—
238C23×C4C2412yes—
239C23×C4C2412yes—
240C23×C4C2411yescharacteristic
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2411yescharacteristic
244C23×C4C2411yescharacteristic
245C23×C4C2412yes—
246C23×C4C2411yescharacteristic
247C22⋊Q8—432no—
248#121—232no—
249C4×Q8—416no—
250C4×D4—232no—
251#117—416no—
252C2×C4⋊C4—22no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—22no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—42no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4C2×D414yes—
301C2×C4⋊C4C2×D418yes—
302C2×C4⋊C4#4114yes—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—22no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4C2×D418yes—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—22no—
349C2×C42—24no—
350C2×C42—28no—
351C2×C42—24no—
352C2×C42—44no—
353C2×C42—44no—
354C2×C42—44no—
355C2×C42C2×D418yes—
356C2×C42C2×D414yes—
357C2×C42C2×D414yes—
358C2×C42#4114yes—
359#95—24no—
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#95—44no—
379#95C2×D414yes—
380#95C2×D414yes—
381C24—21no—
382C24—22no—
383C24—21no—
384C24—21no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—21no—
389C24—24no—
390C24—24no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—22no—
395C24—21no—
396C24—21no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—24no—
401C24C22×D414yes—
402C24C2×#4112yes—
403C24C2511yescharacteristic
404C2×Q8—28no—
405C2×Q8—48no—
406C2×Q8—48no—
407C2×Q8—44no—
408C2×Q8—44no—
409C2×D4—216no—
410C2×D4—28no—
411C2×D4—28no—
412C2×D4—28no—
413C2×D4—44no—
414C2×D4—44no—
415C2×D4—44no—
416C2×D4—44no—
417C2×D4—88no—
418C2×D4—84no—
419C2×D4—84no—
420C2×D4—88no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—21no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—21no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—24no—
442C22×C4—22no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—28no—
456C22×C4—28no—
457C22×C4—28no—
458C22×C4—216no—
459C22×C4—24no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—21no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—88no—
502C22×C4—88no—
503C22×C4C22×D414yes—
504C22×C4C22×D414yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D414yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C2×#4112yes—
513C22×C4C2×#4114yes—
514C22×C4C2×#4112yes—
515C22×C4C2×#4112yes—
516C22×C4C2×#4112yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4H(5,𝔽2)14yes—
520C22×C4H(5,𝔽2)14yes—
521C22×C42−1+414yes—
522C22×C42−1+412yes—
523C22×C42−1+412yes—
524C4⋊C4—28no—
525C4⋊C4—28no—
526C4⋊C4—216no—
527C4⋊C4—48no—
528C4⋊C4—416no—
529C4⋊C4—416no—
530C4⋊C4—48no—
531C4⋊C4—44no—
532C4⋊C4—44no—
533C4⋊C4—48no—
534C4⋊C4—44no—
535C4⋊C4—48no—
536C4⋊C4—44no—
537C4⋊C4—48no—
538C4⋊C4—48no—
539C4⋊C4—84no—
540C4⋊C4—84no—
541C4⋊C4—88no—
542C22⋊C4—216no—
543C22⋊C4—216no—
544C22⋊C4—48no—
545C22⋊C4—416no—
546C22⋊C4—44no—
547C22⋊C4—44no—
548C22⋊C4—416no—
549C22⋊C4—48no—
550C22⋊C4—84no—
551C22⋊C4—88no—
552C22⋊C4—84no—
553C22⋊C4—84no—
554C22⋊C4—88no—
555C22⋊C4—88no—
556C42—216no—
557C42—44no—
558C42—48no—
559C42—88no—
560C42—84no—
561C42#121116yes—
562C23—24no—
563C23—24no—
564C23—22no—
565C23—24no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—41no—
575C23—41no—
576C23—42no—
577C23—44no—
578C23—41no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—41no—
583C23—42no—
584C23—41no—
585C23—41no—
586C23—42no—
587C23—44no—
588C23—44no—
589C23—42no—
590C23—41no—
591C23—41no—
592C23—44no—
593C23—44no—
594C23—42no—
595C23—44no—
596C23—44no—
597C23—42no—
598C23—42no—
599C23—44no—
600C23—42no—
601C23—44no—
602C23—42no—
603C23—44no—
604C23—42no—
605C23—44no—
606C23—42no—
607C23—44no—
608C23C23×D411yescharacteristic
609C23C23×D411yescharacteristic
610C23C22×#4111yescharacteristic
611C23C22×#4111yescharacteristic
612C23C22×#4111yescharacteristic
613C23C2×H(5,𝔽2)12yes—
614C23C2×H(5,𝔽2)12yes—
615C23C2×2−1+411yescharacteristic
616C23C2×2−1+411yescharacteristic
617C23C2×2−1+412yes—
618C23#58512yes—
619Q8—416no—
620D4—416no—
621D4—816no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—28no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—42no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—416no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—816no—
705C2×C4C2×#12114yes—
706C2×C4C2×#12114yes—
707C2×C4C2×#12114yes—
708C2×C4#52514yes—
709C2×C4#53614yes—
710C2×C4#53718yes—
711C2×C4#54714yes—
712C2×C4#54814yes—
713C2×C4#55214yes—
714C2×C4#55614yes—
715C22—44no—
716C22—42no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—42no—
721C22—44no—
722C22—42no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—84no—
728C22—84no—
729C22—82no—
730C22—84no—
731C22—81no—
732C22—81no—
733C22—81no—
734C22—81no—
735C22—82no—
736C22—84no—
737C22C22×#12111yescharacteristic
738C22C2×#52511yescharacteristic
739C22C2×#53611yescharacteristic
740C22C2×#53712yes—
741C22C2×#54711yescharacteristic
742C22C2×#54811yescharacteristic
743C22C2×#55211yescharacteristic
744C22C2×#55611yescharacteristic
745C22#348411yescharacteristic
746C22#348511yescharacteristic
747C22#348812yes—
748C22#349412yes—
749C22#349811yescharacteristic
750C22#349911yescharacteristic
751C22#350712yes—
752C22#350812yes—
753C22#351112yes—
754C22#351612yes—
755C22#351912yes—
756C22#355012yes—
757C22#355212yes—
758C22#355412yes—
759C22#355912yes—
760C4—28no—
761C4—24no—
762C4—24no—
763C4—44no—
764C4—42no—
765C4—44no—
766C4—44no—
767C4—44no—
768C4—84no—
769C4—82no—
770C4—84no—
771C4—81no—
772C4—81no—
773C4—82no—
774C4#241518yes—
775C2—82no—
776C2—84no—
777C2C2×#241511yescharacteristic
778C2#3527311yescharacteristic
779C2#3551411yescharacteristic
780C2#3574111yescharacteristic
781C2#3584611yescharacteristic
782C2#3804212yes—
783C2#3972612yes—
784C2#4242711yescharacteristic
785C2#4265111yescharacteristic
786C2#4503712yes—
787C2#4514712yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#121C22
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×#2538C2semidirect
2. C2×#2396C2semidirect
3. C2×#2357C2semidirect
5. #16394C2semidirect
6. #16263C2semidirect
7. #15621C2semidirect
8. #15615C2semidirect
9. #15147C2semidirect
11. #14839C2semidirect
12. #14763C2semidirect
13. #14340C2semidirect
14. #14151C2semidirect
15. #13993C2semidirect
16. #13925C2semidirect
17. #13910C2semidirect
176. C4×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25382
C2×#23962
C2×#23572
C2×#23242
#163942
#162632
#156212
#156152
#151472
#151302
#148392
#147632
#143402
#141512
#139932
#139252
#139102