Finite Group Databasebeta

← #4456906

Subgroups — #4456906

Order 512.

3018 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×#2537C211yesmaximal, characteristic
2C2×#2562C211yesmaximal, characteristic, complemented
3C2×#2566C211yesmaximal, characteristic, complemented
4C2×#2319C211yesmaximal, characteristic, complemented
5#16817C214yesmaximal, complemented
6#16514C214yesmaximal, complemented
7#16400C212yesmaximal, complemented
8#16394C212yesmaximal, complemented
9#16261C212yesmaximal, complemented
10#16259C212yesmaximal, complemented
11#15220C212yesmaximal, complemented
12#15131C212yesmaximal, complemented
13#15126C212yesmaximal, complemented
14#15126C212yesmaximal, complemented
15#14283C211yesmaximal, characteristic, complemented
16#13910C211yesmaximal, characteristic, complemented
17#13847C211yesmaximal, characteristic, complemented
18C22×#125C2211yescharacteristic
19C22×#121C2212yes—
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23#2566—28no—
24#2562—28no—
25#2537—28no—
26C2×#400C2212yes—
27C2×#396C2212yes—
28C2×#396C2212yes—
29C2×#396C2214yes—
30C2×#394C2212yes—
31C2×#394C2214yes—
32C2×#394C2214yes—
33C2×#394C2214yes—
34#2319—28no—
35C2×#390C2212yes—
36C2×#390C2211yescharacteristic
37C2×#390C2211yescharacteristic
38C2×#389C2212yes—
39C2×#389C2212yes—
40C2×#389C2212yes—
41C2×#388C2214yes—
42C2×#388C2214yes—
43C2×#385C2212yes—
44C2×#385C2212yes—
45C2×#384C2211yescharacteristic
46C2×#384C2211yescharacteristic
47C2×#384C2212yes—
48C2×#382C2211yescharacteristic
49C2×#381C2212yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×#380C2212yes—
54C2×#380C2212yes—
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2212yes—
58C2×C4×C22⋊C4C2212yes—
59C2×#376C2211yescharacteristic
60#1445C2211yescharacteristic
61#1445C2211yescharacteristic
62#1444C2212yes—
63#1444C2212yes—
64#1443C2214yes—
65#1441C2214yes—
66#1441C2212yes—
67#1441C2214yes—
68#1441C2214yes—
69#1441C2212yes—
70#1441C2214yes—
71#1440C2214yes—
72#1440C2214yes—
73#1439C2214yes—
74#1439C2214yes—
75#1439C2212yes—
76#1439C2212yes—
77#1439C2214yes—
78#1439C2214yes—
79#1439C2214yes—
80#1438C2214yes—
81#1438C2214yes—
82#1438C2211yescharacteristic
83#1438C2211yescharacteristic
84C4⋊#95C2212yes—
85C4⋊#95C2212yes—
86C4⋊#95C2212yes—
87C23×D4C2311yescharacteristic
88C23×D4C2311yescharacteristic
89C23×D4C2314yes—
90C24×C4C2312yes—
91C24×C4C2312yes—
92C2×#125—24no—
93C2×#125—24no—
94C2×#125—24no—
95C2×#121—28no—
96C2×#121—28no—
97C2×#121—48no—
98C2×#121—44no—
99C2×#121—44no—
100C2×C4×D4—24no—
101C2×C4×D4—24no—
102C2×C4×D4—24no—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×C4×D4D418yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C42C2312yes—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2312yes—
143C22×C42C2311yescharacteristic
144#400—28no—
145#396—28no—
146#396—28no—
147#396—48no—
148#394—216no—
149#394—28no—
150#394—48no—
151#394—48no—
152#390—24no—
153#390—24no—
154#390—28no—
155#389—28no—
156#389—44no—
157#389—44no—
158#388—216no—
159#388—216no—
160#385—28no—
161#385—28no—
162#384—24no—
163#384—24no—
164#384—44no—
165#382—24no—
166#381—28no—
167#380—28no—
168#380—28no—
169#380—28no—
170#380—28no—
171#380—28no—
172C4×C4⋊C4—24no—
173C4×C4⋊C4D418yescomplemented
174C4×C22⋊C4—44no—
175C4×C22⋊C4—44no—
176#376—24no—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2311yescharacteristic
183C2×#95C2311yescharacteristic
184C2×#95C2311yescharacteristic
185C2×#95C2311yescharacteristic
186C2×#95C2312yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C25C2412yes—
200C25C2412yes—
201C22×D4—24no—
202C22×D4—28no—
203C22×D4—28no—
204C22×D4—22no—
205C22×D4—22no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—42no—
212C22×D4—44no—
213C22×D4—44no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4—44no—
217C22×D4C2×D414yes—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4C2×D418yes—
230C23×C4C2412yes—
231C23×C4C2411yescharacteristic
232C23×C4C2412yes—
233C23×C4C2412yes—
234C23×C4C2411yescharacteristic
235C23×C4C2412yes—
236C23×C4C2412yes—
237C23×C4C2414yes—
238C23×C4C2414yes—
239C23×C4C2412yes—
240C23×C4C2411yescharacteristic
241C23×C4C2411yescharacteristic
242C23×C4C2411yescharacteristic
243C23×C4C2411yescharacteristic
244C23×C4C2411yescharacteristic
245#125—416no—
246#121—432no—
247#121—432no—
248C4×D4—232no—
249C4×D4—416no—
250C2×C4⋊C4—22no—
251C2×C4⋊C4—22no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
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—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—41no—
283C2×C4⋊C4—41no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—42no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4C2×D414yes—
297C2×C4⋊C4C2×D418yes—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—42no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—42no—
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⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4C2×D418yes—
344C2×C42—24no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—24no—
350C2×C42—24no—
351C2×C42—42no—
352C2×C42—42no—
353C2×C42C2×D418yes—
354C2×C42C2×D414yes—
355C2×C42C2×D414yes—
356C2×C42#4114yes—
357#95—22no—
358#95—22no—
359#95—24no—
360#95—22no—
361#95—22no—
362#95—28no—
363#95—28no—
364#95—28no—
365#95—28no—
366#95—24no—
367#95—24no—
368#95—44no—
369#95—42no—
370#95—42no—
371#95—42no—
372#95—42no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95C2×D418yes—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—24no—
389C24—24no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—24no—
396C24—22no—
397C24—22no—
398C24—24no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24C22×D414yes—
404C24H(5,𝔽2)14yes—
405C24C2511yescharacteristic
406C2×D4—28no—
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—28no—
410C2×D4—48no—
411C2×D4—48no—
412C2×D4—44no—
413C2×D4—416no—
414C2×D4—416no—
415C2×D4—44no—
416C2×D4—48no—
417C2×D4—48no—
418C2×D4—88no—
419C2×D4—88no—
420C2×D4—88no—
421C2×D4—88no—
422C2×D4—88no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—24no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—21no—
443C22×C4—24no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—216no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—88no—
508C22×C4—88no—
509C22×C4C22×D414yes—
510C22×C4C22×D418yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C4H(5,𝔽2)12yes—
521C22×C4H(5,𝔽2)14yes—
522C22×C42−1+412yes—
523C22×C42−1+414yes—
524C4⋊C4—28no—
525C4⋊C4—216no—
526C4⋊C4—44no—
527C4⋊C4—44no—
528C4⋊C4—48no—
529C4⋊C4—44no—
530C4⋊C4—48no—
531C4⋊C4—48no—
532C4⋊C4—44no—
533C4⋊C4—44no—
534C4⋊C4—48no—
535C4⋊C4—84no—
536C4⋊C4—84no—
537C4⋊C4—84no—
538C4⋊C4—88no—
539C4⋊C4—88no—
540C4⋊C4—88no—
541C22⋊C4—216no—
542C22⋊C4—48no—
543C22⋊C4—416no—
544C22⋊C4—48no—
545C22⋊C4—48no—
546C22⋊C4—416no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—416no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—88no—
553C22⋊C4—88no—
554C22⋊C4—88no—
555C22⋊C4—84no—
556C22⋊C4—84no—
557C42—48no—
558C42—44no—
559C42—44no—
560C42—48no—
561C42#121116yes—
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—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—44no—
582C23—42no—
583C23—42no—
584C23—44no—
585C23—42no—
586C23—44no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—44no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—44no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—44no—
608C23—44no—
609C23—42no—
610C23—44no—
611C23—42no—
612C23—44no—
613C23—42no—
614C23—42no—
615C23—44no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23C23×D411yescharacteristic
621C23C23×D411yescharacteristic
622C23C22×#4111yescharacteristic
623C23C2×H(5,𝔽2)12yes—
624C23C2×H(5,𝔽2)12yes—
625C23C2×H(5,𝔽2)11yescharacteristic
626C23C2×2−1+412yes—
627C23C2×2−1+411yescharacteristic
628C23#58512yes—
629C23#58511yescharacteristic
630C23#58511yescharacteristic
631D4—416no—
632D4—416no—
633D4—832no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—28no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—816no—
717C2×C4—816no—
718C2×C4C2×#12114yes—
719C2×C4C2×#12114yes—
720C2×C4C2×#12114yes—
721C2×C4#53514yes—
722C2×C4#53614yes—
723C2×C4#53718yes—
724C2×C4#54218yes—
725C22—44no—
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—44no—
739C22—82no—
740C22—84no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—84no—
746C22—82no—
747C22—84no—
748C22—82no—
749C22—82no—
750C22—84no—
751C22C22×#12111yescharacteristic
752C22C2×#53511yescharacteristic
753C22C2×#53611yescharacteristic
754C22C2×#53712yes—
755C22C2×#54212yes—
756C22#348411yescharacteristic
757C22#348511yescharacteristic
758C22#348812yes—
759C22#348811yescharacteristic
760C22#348911yescharacteristic
761C22#349412yes—
762C22#349611yescharacteristic
763C22#349711yescharacteristic
764C22#351111yescharacteristic
765C22#351211yescharacteristic
766C22#353712yes—
767C22#353912yes—
768C22#354112yes—
769C22#354212yes—
770C22#354412yes—
771C22#354712yes—
772C22#355912yes—
773C22#356512yes—
774C4—24no—
775C4—24no—
776C4—42no—
777C4—44no—
778C4—48no—
779C4—42no—
780C4—82no—
781C4—82no—
782C4—81no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—81no—
787C4—84no—
788C4#262018yes—
789C2—84no—
790C2—84no—
791C2C2×#262011yescharacteristic
792C2#3551411yescharacteristic
793C2#3556411yescharacteristic
794C2#3734012yes—
795C2#3737312yes—
796C2#4244512yes—
797C2#4248011yescharacteristic
798C2#4248211yescharacteristic
799C2#4267911yescharacteristic
800C2#4268111yescharacteristic
801C2#4279812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2537C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2562C2semidirect
3. C2×#2566C2semidirect
4. C2×#2319C2semidirect
5. #16817C2semidirect
6. #16514C2semidirect
7. #16400C2semidirect
8. #16394C2semidirect
9. #16261C2semidirect
10. #16259C2semidirect
11. #15220C2semidirect
12. #15131C2semidirect
13. #15126C2semidirect
14. #15126C2semidirect
15. #14283C2semidirect
16. #13910C2semidirect
17. #13847C2semidirect
173. C4×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25372
C2×#25622
C2×#25662
C2×#23192
#168172
#165142
#164002
#163942
#162612
#162592
#152202
#151312
#151262
#142832
#139102
#138472