Finite Group Databasebeta

← #4930384

Subgroups — #4930384

Order 512.

3430 conjugacy classes of subgroups.

The subgroup lattice has 809 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×#2275C211yesmaximal, characteristic, complemented
5#14968C214yesmaximal, complemented
6#14922C214yesmaximal, complemented
7#14841C212yesmaximal, complemented
8#14826C212yesmaximal, complemented
9#14764C212yesmaximal, complemented
10#14747C212yesmaximal, complemented
11#14283C211yesmaximal, characteristic, complemented
12#13970C212yesmaximal, complemented
13#13970C212yesmaximal, complemented
14#13911C211yesmaximal, characteristic, complemented
15#13876C212yesmaximal, complemented
16#13875C212yesmaximal, complemented
17#13847C211yesmaximal, characteristic, complemented
18C22×#125C2211yescharacteristic
19C22×#121C2212yes—
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2212yes—
23C22×C4×D4C2211yescharacteristic
24#2566—28no—
25#2562—28no—
26#2537—28no—
27C2×#400C2212yes—
28C2×#396C2212yes—
29C2×#396C2212yes—
30C2×#394C2214yes—
31C2×#394C2212yes—
32C2×#390C2211yescharacteristic
33C2×#390C2211yescharacteristic
34C2×#388C2214yes—
35C2×#388C2214yes—
36C2×#386C2214yes—
37C2×#386C2214yes—
38C2×#385C2212yes—
39C2×#385C2212yes—
40C2×#384C2211yescharacteristic
41C2×#384C2211yescharacteristic
42C2×#382C2211yescharacteristic
43C2×#382C2212yes—
44C2×#380C2212yes—
45C2×#380C2212yes—
46C2×#380C2212yes—
47C2×#380C2212yes—
48#2275—28no—
49C2×C4×C4⋊C4C2211yescharacteristic
50C2×C4×C4⋊C4C2212yes—
51C2×C4×C4⋊C4C2211yescharacteristic
52C2×C4×C22⋊C4C2212yes—
53C2×C4×C22⋊C4C2212yes—
54C2×C4×C22⋊C4C2214yes—
55C2×C4×C22⋊C4C2212yes—
56C2×#376C2211yescharacteristic
57C22×#95C2212yes—
58#1445C2211yescharacteristic
59#1445C2211yescharacteristic
60#1443C2214yes—
61#1442C2214yes—
62#1442C2212yes—
63#1442C2212yes—
64#1441C2214yes—
65#1441C2212yes—
66#1441C2212yes—
67#1440C2214yes—
68#1440C2214yes—
69#1440C2214yes—
70#1439C2212yes—
71#1439C2212yes—
72#1439C2214yes—
73#1438C2211yescharacteristic
74#1438C2211yescharacteristic
75#1438C2214yes—
76#1438C2214yes—
77#1437C2214yes—
78#1436C2214yes—
79C4⋊#95C2212yes—
80C4⋊#95C2212yes—
81C4⋊#95C2212yes—
82C4⋊#95C2212yes—
83C4⋊#95C2212yes—
84#1434C2214yes—
85C22⋊#95C2214yes—
86C22⋊#95C2214yes—
87C23×D4C2311yescharacteristic
88C23×D4C2314yes—
89C23×D4C2311yescharacteristic
90C24×C4C2312yes—
91C24×C4C2314yes—
92C24×C4C2312yes—
93C2×#125—24no—
94C2×#125—24no—
95C2×#125—24no—
96C2×#121—28no—
97C2×#121—28no—
98C2×#121—28no—
99C2×#121—28no—
100C2×#121—48no—
101C2×C4×D4—28no—
102C2×C4×D4—28no—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×C4×D4—24no—
106C2×C4×D4—28no—
107C2×C4×D4—24no—
108C2×C4×D4—24no—
109C2×C4×D4D418yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2312yes—
142C22×C42C2314yes—
143C22×C42C2312yes—
144C22×C42C2311yescharacteristic
145#400—28no—
146#396—28no—
147#396—28no—
148#394—216no—
149#394—28no—
150#390—24no—
151#390—24no—
152#388—216no—
153#388—48no—
154#386—48no—
155#386—48no—
156#385—28no—
157#385—28no—
158#384—24no—
159#384—24no—
160#382—24no—
161#382—44no—
162#380—28no—
163#380—28no—
164#380—28no—
165#380—28no—
166C4×C4⋊C4—28no—
167C4×C4⋊C4—24no—
168C4×C4⋊C4D418yescomplemented
169C4×C22⋊C4—216no—
170C4×C22⋊C4—28no—
171C4×C22⋊C4—28no—
172C4×C22⋊C4—28no—
173#376—24no—
174C2×#95—28no—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2311yescharacteristic
186C2×#95C2311yescharacteristic
187C2×#95C2311yescharacteristic
188C2×#95C2311yescharacteristic
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2312yes—
199C25C2412yes—
200C25C2412yes—
201C22×D4—24no—
202C22×D4—28no—
203C22×D4—28no—
204C22×D4—28no—
205C22×D4—28no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—24no—
211C22×D4—22no—
212C22×D4—42no—
213C22×D4—44no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4C2×D414yes—
217C22×D4#4118yes—
218C23×C4—28no—
219C23×C4—28no—
220C23×C4—24no—
221C23×C4—28no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—44no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4C2×D418yes—
237C23×C4C2412yes—
238C23×C4C2412yes—
239C23×C4C2411yescharacteristic
240C23×C4C2411yescharacteristic
241C23×C4C2412yes—
242C23×C4C2414yes—
243C23×C4C2412yes—
244C23×C4C2414yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252#125—416no—
253#121—432no—
254#121—432no—
255C4×D4—264no—
256C4×D4—232no—
257C4×D4—416no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—41no—
289C2×C4⋊C4—41no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4C2×D418yes—
296C2×C4⋊C4C2×D414yes—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—28no—
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—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—42no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4C2×D418yes—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—22no—
343C2×C42—22no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—28no—
347C2×C42—42no—
348C2×C42—42no—
349C2×C42—44no—
350C2×C42—44no—
351C2×C42C2×D418yes—
352C2×C42C2×D414yes—
353C2×C42C2×D414yes—
354C2×C42#4118yes—
355C2×C42#4114yes—
356#95—22no—
357#95—28no—
358#95—24no—
359#95—22no—
360#95—22no—
361#95—22no—
362#95—28no—
363#95—28no—
364#95—28no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—28no—
372#95—44no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95C2×D418yes—
380C24—22no—
381C24—22no—
382C24—24no—
383C24—22no—
384C24—24no—
385C24—22no—
386C24—24no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24C22×D414yes—
404C24C2×#4118yes—
405C24H(5,𝔽2)14yes—
406C24C2511yescharacteristic
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—216no—
410C2×D4—216no—
411C2×D4—28no—
412C2×D4—48no—
413C2×D4—48no—
414C2×D4—44no—
415C2×D4—416no—
416C2×D4—416no—
417C2×D4—416no—
418C2×D4—416no—
419C2×D4—44no—
420C2×D4—88no—
421C2×D4—88no—
422C2×D4—88no—
423C2×D4#124116yes—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—24no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—232no—
461C22×C4—216no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—21no—
497C22×C4—21no—
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×C4—88no—
510C22×C4—88no—
511C22×C4—88no—
512C22×C4—88no—
513C22×C4—88no—
514C22×C4—88no—
515C22×C4C22×D414yes—
516C22×C4C22×D418yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C2×#4114yes—
524C22×C4C2×#4114yes—
525C22×C4C2×#4112yes—
526C22×C4C2×#4112yes—
527C22×C4C2×#4112yes—
528C22×C4C2×#4114yes—
529C22×C4C2×#4114yes—
530C22×C4H(5,𝔽2)12yes—
531C22×C42−1+412yes—
532C4⋊C4—28no—
533C4⋊C4—216no—
534C4⋊C4—44no—
535C4⋊C4—44no—
536C4⋊C4—48no—
537C4⋊C4—44no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—48no—
543C4⋊C4—84no—
544C4⋊C4—84no—
545C4⋊C4—84no—
546C22⋊C4—216no—
547C22⋊C4—232no—
548C22⋊C4—216no—
549C22⋊C4—48no—
550C22⋊C4—416no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—416no—
555C22⋊C4—48no—
556C22⋊C4—416no—
557C22⋊C4—48no—
558C22⋊C4—88no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C42—216no—
562C42—48no—
563C42—44no—
564C42—44no—
565C42—88no—
566C42#121116yes—
567C23—24no—
568C23—28no—
569C23—28no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—28no—
576C23—28no—
577C23—28no—
578C23—28no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23C2×#12418yes—
625C23C23×D411yescharacteristic
626C23C23×D411yescharacteristic
627C23C22×#4111yescharacteristic
628C23C22×#4112yes—
629C23C22×#4112yes—
630C23C2×H(5,𝔽2)12yes—
631C23C2×H(5,𝔽2)11yescharacteristic
632C23C2×2−1+411yescharacteristic
633C23#58512yes—
634C23#58511yescharacteristic
635C23#58511yescharacteristic
636D4—232no—
637D4—416no—
638D4—832no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—28no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—28no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—28no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—41no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—41no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—816no—
722C2×C4—832no—
723C2×C4—816no—
724C2×C4C2×#12114yes—
725C2×C4C2×#12114yes—
726C2×C4C2×#12114yes—
727C2×C4#52518yes—
728C2×C4C2×#12414yes—
729C2×C4#52918yes—
730C2×C4#53214yes—
731C22—28no—
732C22—28no—
733C22—28no—
734C22—44no—
735C22—44no—
736C22—48no—
737C22—44no—
738C22—48no—
739C22—48no—
740C22—44no—
741C22—48no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22C22×#12111yescharacteristic
758C22C2×#52512yes—
759C22C22×#12411yescharacteristic
760C22C2×#52912yes—
761C22C2×#53211yescharacteristic
762C22#348411yescharacteristic
763C22#348511yescharacteristic
764C22#348811yescharacteristic
765C22#348812yes—
766C22#348911yescharacteristic
767C22#349212yes—
768C22#349312yes—
769C22#349412yes—
770C22#349412yes—
771C22#349412yes—
772C22#349611yescharacteristic
773C22#349711yescharacteristic
774C22#351111yescharacteristic
775C22#351211yescharacteristic
776C22#351312yes—
777C22#351512yes—
778C22#351912yes—
779C22#352112yes—
780C4—24no—
781C4—24no—
782C4—42no—
783C4—44no—
784C4—44no—
785C4—42no—
786C4—48no—
787C4—44no—
788C4—82no—
789C4—84no—
790C4—81no—
791C4—82no—
792C4—81no—
793C4—82no—
794C4#285018yes—
795C2—48no—
796C2—84no—
797C2#3551411yescharacteristic
798C2#3555112yes—
799C2#3555212yes—
800C2#3556411yescharacteristic
801C2#3577212yes—
802C2#3582312yes—
803C2#3590311yescharacteristic
804C2#3592311yescharacteristic
805C2#3604211yescharacteristic
806C2#3606211yescharacteristic
807C2C2×#285011yescharacteristic
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×#2275C2semidirect
5. #14968C2semidirect
6. #14922C2semidirect
7. #14841C2semidirect
8. #14826C2semidirect
9. #14764C2semidirect
10. #14747C2semidirect
11. #14283C2semidirect
12. #13970C2semidirect
13. #13970C2semidirect
14. #13911C2semidirect
15. #13876C2semidirect
16. #13875C2semidirect
17. #13847C2semidirect
168. 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×#22752
#149682
#149222
#148412
#148262
#147642
#147472
#142832
#139702
#139112
#138762
#138752
#138472