Finite Group Databasebeta

← #522200

Subgroups — #522200

Order 512.

2814 conjugacy classes of subgroups.

The subgroup lattice has 757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2857C211yesmaximal, characteristic
2#14471C212yesmaximal, complemented
3#14467C212yesmaximal, complemented
4#14458C214yesmaximal, complemented
5#14275C212yesmaximal
6#14130C212yesmaximal
7#14053C212yesmaximal, complemented
8#14052C214yesmaximal
9#14048C212yesmaximal, complemented
10#14045C212yesmaximal, complemented
11#14041C212yesmaximal, complemented
12C22⋊C4×C4⋊C4C212yesmaximal
13#13778C212yesmaximal
14C4×#380C211yesmaximal, characteristic
15C2×C4⋊#95C211yesmaximal, characteristic
16C22×C4⋊Q8C2211yescharacteristic
17C22×C22⋊Q8C2212yes—
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C42C2211yescharacteristic
21#2857C4116yescomplemented
22C2×#391C2214yes—
23C2×#391C2212yes—
24C2×#389C2212yes—
25C2×#389C2212yes—
26C2×#389C2212yes—
27C2×#389C2212yes—
28C2×#385C2214yes—
29C2×#384C2211yescharacteristic
30C2×#380C2211yescharacteristic
31C2×#380C2212yes—
32C2×#380C2212yes—
33C2×#380C2211yescharacteristic
34C2×C4×C4⋊C4C2211yescharacteristic
35C2×C4×C4⋊C4C2211yescharacteristic
36C2×C4×C4⋊C4C2212yes—
37C2×C4×C4⋊C4C2212yes—
38C2×C4×C22⋊C4C2212yes—
39C2×C4×C22⋊C4C2214yes—
40C22×#95C2212yes—
41C22×#95C2212yes—
42#1446C2214yes—
43#1445C2214yes—
44#1444C2214yes—
45#1444C2214yes—
46#1442C2214yes—
47#1442C2214yes—
48#1441C2214yes—
49#1441C2214yes—
50#1441C2214yes—
51#1441C2214yes—
52#1436C2214yes—
53#1436C2214yes—
54#1436C2214yes—
55#1436C2214yes—
56#1436C2214yes—
57#1436C2214yes—
58#1436C2214yes—
59#1436C2214yes—
60C4⋊#95C2212yes—
61C4⋊#95C2212yes—
62C4⋊#95C2212yes—
63C4⋊#95C2214yes—
64C4⋊#95C2211yescharacteristic
65C4⋊#95C2212yes—
66C4⋊#95C2211yescharacteristic
67C4⋊#95C2212yes—
68C4⋊#95C2212yes—
69C4⋊#95C2212yes—
70C4⋊#95C2212yes—
71#1434C2212yes—
72C22⋊#95C2214yes—
73C22⋊#95C2214yes—
74C22⋊#95C2212yes—
75C4×#95C2212yes—
76C23×Q8C2312yes—
77C24×C4C2311yescharacteristic
78C24×C4C2311yescharacteristic
79C24×C4C2312yes—
80C24×C4C2312yes—
81C24×C4C2311yescharacteristic
82C2×C4⋊Q8—42no—
83C2×C4⋊Q8—42no—
84C2×C4⋊Q8C2×C418yescomplemented
85C2×C22⋊Q8—44no—
86C2×C22⋊Q8—44no—
87C2×C22⋊Q8C2×C4116yes—
88C22×C4⋊C4—24no—
89C22×C4⋊C4—42no—
90C22×C4⋊C4—42no—
91C22×C4⋊C4—42no—
92C22×C4⋊C4—42no—
93C22×C4⋊C4Q818yescomplemented
94C22×C4⋊C4C2312yes—
95C22×C4⋊C4C2312yes—
96C22×C4⋊C4C2312yes—
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2311yescharacteristic
100C22×C4⋊C4C2311yescharacteristic
101C22×C4⋊C4C2314yes—
102C22×C4⋊C4C2314yes—
103C22×C4⋊C4C2314yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C22⋊C4C2312yes—
111C22×C22⋊C4C2314yes—
112C22×C22⋊C4C2312yes—
113C22×C42—42no—
114C22×C42—42no—
115C22×C42C2×C418yes—
116C22×C42C2312yes—
117C22×C42C2312yes—
118C22×C42C2311yescharacteristic
119C22×C42C2311yescharacteristic
120C22×C42C2314yes—
121C22×C42C2314yes—
122C22×C42C2311yescharacteristic
123C22×C42C2311yescharacteristic
124#391—48no—
125#391C2×C4116yescomplemented
126#389—44no—
127#389—44no—
128#389C2×C4116yescomplemented
129#389C2×C4116yescomplemented
130#385—48no—
131#384C2×C418yescomplemented
132#380—24no—
133#380C2×C4116yes—
134#380C2×C4116yes—
135#380Q818yescomplemented
136C4×C4⋊C4—42no—
137C4×C4⋊C4—42no—
138C4×C4⋊C4—44no—
139C4×C4⋊C4—44no—
140C4×C22⋊C4—28no—
141C4×C22⋊C4—48no—
142C2×#95—28no—
143C2×#95—44no—
144C2×#95C2312yes—
145C2×#95C2312yes—
146C2×#95C2312yes—
147C2×#95C2312yes—
148C2×#95C2312yes—
149C2×#95C2314yes—
150C2×#95C2314yes—
151C2×#95C2314yes—
152C2×#95C2312yes—
153C2×#95C2312yes—
154C2×#95C2314yes—
155C2×#95C2314yes—
156C2×#95C2314yes—
157C2×#95C2314yes—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2312yes—
170C25C2411yescharacteristic
171C22×Q8—24no—
172C22×Q8—24no—
173C22×Q8—42no—
174C22×Q8—42no—
175C22×Q8—42no—
176C22×Q8—42no—
177C22×Q8C22×C418yes—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—22no—
183C23×C4—22no—
184C23×C4—24no—
185C23×C4—24no—
186C23×C4—22no—
187C23×C4—22no—
188C23×C4—24no—
189C23×C4—24no—
190C23×C4—24no—
191C23×C4—41no—
192C23×C4—41no—
193C23×C4—41no—
194C23×C4—41no—
195C23×C4—41no—
196C23×C4—41no—
197C23×C4—42no—
198C23×C4—42no—
199C23×C4—42no—
200C23×C4—42no—
201C23×C4—42no—
202C23×C4—42no—
203C23×C4—42no—
204C23×C4—42no—
205C23×C4C22×C414yes—
206C23×C4C22×C414yes—
207C23×C4C22×C414yes—
208C23×C4C2×Q814yes—
209C23×C4C2×Q818yes—
210C23×C4C2×Q814yes—
211C23×C4#4114yes—
212C23×C4#4114yes—
213C23×C4C2412yes—
214C23×C4C2412yes—
215C23×C4C2414yes—
216C23×C4C2414yes—
217C23×C4C2414yes—
218C23×C4C2411yescharacteristic
219C23×C4C2412yes—
220C23×C4C2412yes—
221C23×C4C2414yes—
222C23×C4C2411yescharacteristic
223C23×C4C2411yescharacteristic
224C23×C4C2411yescharacteristic
225C23×C4C2411yescharacteristic
226C23×C4C2411yescharacteristic
227C4⋊Q8—416no—
228C22⋊Q8—432no—
229C2×C4⋊C4—24no—
230C2×C4⋊C4—24no—
231C2×C4⋊C4—24no—
232C2×C4⋊C4—24no—
233C2×C4⋊C4—24no—
234C2×C4⋊C4—24no—
235C2×C4⋊C4—24no—
236C2×C4⋊C4—24no—
237C2×C4⋊C4—22no—
238C2×C4⋊C4—22no—
239C2×C4⋊C4—24no—
240C2×C4⋊C4—24no—
241C2×C4⋊C4—416no—
242C2×C4⋊C4—42no—
243C2×C4⋊C4—42no—
244C2×C4⋊C4—42no—
245C2×C4⋊C4—42no—
246C2×C4⋊C4—42no—
247C2×C4⋊C4—42no—
248C2×C4⋊C4—41no—
249C2×C4⋊C4—41no—
250C2×C4⋊C4—41no—
251C2×C4⋊C4—41no—
252C2×C4⋊C4—42no—
253C2×C4⋊C4—42no—
254C2×C4⋊C4—44no—
255C2×C4⋊C4—44no—
256C2×C4⋊C4—42no—
257C2×C4⋊C4—42no—
258C2×C4⋊C4—41no—
259C2×C4⋊C4—41no—
260C2×C4⋊C4—41no—
261C2×C4⋊C4—41no—
262C2×C4⋊C4—416no—
263C2×C4⋊C4—44no—
264C2×C4⋊C4—44no—
265C2×C4⋊C4—44no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—44no—
268C2×C4⋊C4—44no—
269C2×C4⋊C4C22×C418yes—
270C2×C4⋊C4C22×C418yes—
271C2×C4⋊C4C22×C418yes—
272C2×C4⋊C4C22×C4116yes—
273C2×C4⋊C4C22×C418yes—
274C2×C4⋊C4C22×C418yes—
275C2×C4⋊C4C2×Q818yes—
276C2×C4⋊C4C2×Q818yes—
277C2×C4⋊C4C2×Q814yes—
278C2×C4⋊C4C2×Q814yes—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4C22×C4116yes—
287C2×C22⋊C4C2×Q818yes—
288C2×C42—22no—
289C2×C42—22no—
290C2×C42—22no—
291C2×C42—22no—
292C2×C42—24no—
293C2×C42—24no—
294C2×C42—24no—
295C2×C42—24no—
296C2×C42—24no—
297C2×C42—24no—
298C2×C42—416no—
299C2×C42—41no—
300C2×C42—41no—
301C2×C42—41no—
302C2×C42—41no—
303C2×C42—44no—
304C2×C42—44no—
305C2×C42—44no—
306C2×C42—44no—
307C2×C42—44no—
308C2×C42—44no—
309C2×C42C22×C414yes—
310C2×C42C22×C414yes—
311C2×C42C22×C414yes—
312C2×C42C22×C414yes—
313#95—28no—
314#95—28no—
315#95—24no—
316#95—24no—
317#95—24no—
318#95—28no—
319#95—24no—
320#95—24no—
321#95—44no—
322#95—44no—
323#95—44no—
324#95—44no—
325#95—44no—
326#95—42no—
327#95—42no—
328#95—44no—
329#95—44no—
330#95—44no—
331#95—44no—
332#95—44no—
333#95—44no—
334#95—44no—
335#95—44no—
336#95C22×C4116yes—
337#95C22×C4116yes—
338#95C2×Q818yes—
339C24—21no—
340C24—21no—
341C24—21no—
342C24—21no—
343C24—21no—
344C24—21no—
345C24—21no—
346C24—21no—
347C24C23×C412yes—
348C24C22×Q812yes—
349C24C22×Q812yes—
350C24C2×#4112yes—
351C24C2×#4112yes—
352C24H(5,𝔽2)12yes—
353C24H(5,𝔽2)12yes—
354C24C2511yescharacteristic
355C2×Q8—216no—
356C2×Q8—48no—
357C2×Q8—48no—
358C2×Q8—84no—
359C2×Q8—84no—
360C2×Q8—84no—
361C2×Q8—84no—
362C22×C4—21no—
363C22×C4—21no—
364C22×C4—21no—
365C22×C4—21no—
366C22×C4—21no—
367C22×C4—21no—
368C22×C4—21no—
369C22×C4—21no—
370C22×C4—21no—
371C22×C4—21no—
372C22×C4—21no—
373C22×C4—21no—
374C22×C4—21no—
375C22×C4—21no—
376C22×C4—21no—
377C22×C4—21no—
378C22×C4—28no—
379C22×C4—28no—
380C22×C4—28no—
381C22×C4—28no—
382C22×C4—28no—
383C22×C4—28no—
384C22×C4—28no—
385C22×C4—24no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—24no—
390C22×C4—21no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—21no—
394C22×C4—21no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—24no—
398C22×C4—24no—
399C22×C4—24no—
400C22×C4—22no—
401C22×C4—24no—
402C22×C4—24no—
403C22×C4—24no—
404C22×C4—24no—
405C22×C4—24no—
406C22×C4—24no—
407C22×C4—24no—
408C22×C4—24no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—24no—
414C22×C4—21no—
415C22×C4—24no—
416C22×C4—22no—
417C22×C4—24no—
418C22×C4—24no—
419C22×C4—24no—
420C22×C4—22no—
421C22×C4—216no—
422C22×C4—28no—
423C22×C4—24no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—24no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—24no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—44no—
445C22×C4—44no—
446C22×C4—44no—
447C22×C4—44no—
448C22×C4—44no—
449C22×C4—44no—
450C22×C4—44no—
451C22×C4—48no—
452C22×C4—48no—
453C22×C4—44no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—44no—
457C22×C4—48no—
458C22×C4—48no—
459C22×C4—48no—
460C22×C4—84no—
461C22×C4—84no—
462C22×C4—84no—
463C22×C4—84no—
464C22×C4—84no—
465C22×C4—84no—
466C22×C4—84no—
467C22×C4—84no—
468C22×C4C4×Q8116yes—
469C22×C4C4×Q8116yes—
470C22×C4C23×C418yes—
471C22×C4C23×C418yes—
472C22×C4C23×C412yes—
473C22×C4C23×C412yes—
474C22×C4C23×C412yes—
475C22×C4C23×C412yes—
476C22×C4C23×C412yes—
477C22×C4C23×C412yes—
478C22×C4C22×Q814yes—
479C22×C4C22×Q814yes—
480C22×C4C22×Q818yes—
481C22×C4C22×Q812yes—
482C22×C4C22×Q812yes—
483C22×C4C22×Q812yes—
484C22×C4C22×Q812yes—
485C22×C4C2×#4112yes—
486C22×C4C2×#4112yes—
487C22×C4C2×#4112yes—
488C22×C4C2×#4112yes—
489C22×C4H(5,𝔽2)12yes—
490C22×C4H(5,𝔽2)12yes—
491C22×C4H(5,𝔽2)12yes—
492C22×C4H(5,𝔽2)12yes—
493C22×C42−1+412yes—
494C22×C42−1+412yes—
495C4⋊C4—216no—
496C4⋊C4—216no—
497C4⋊C4—216no—
498C4⋊C4—48no—
499C4⋊C4—48no—
500C4⋊C4—48no—
501C4⋊C4—416no—
502C4⋊C4—48no—
503C4⋊C4—44no—
504C4⋊C4—44no—
505C4⋊C4—44no—
506C4⋊C4—44no—
507C4⋊C4—48no—
508C4⋊C4—48no—
509C4⋊C4—88no—
510C4⋊C4—88no—
511C22⋊C4—232no—
512C22⋊C4—216no—
513C22⋊C4—48no—
514C42—28no—
515C42—28no—
516C42—44no—
517C42—44no—
518C42—48no—
519C42—48no—
520C42—88no—
521C42—88no—
522C23—22no—
523C23—22no—
524C23—22no—
525C23—22no—
526C23—22no—
527C23—22no—
528C23—22no—
529C23—22no—
530C23—22no—
531C23—22no—
532C23—22no—
533C23—22no—
534C23—22no—
535C23—22no—
536C23—22no—
537C23—22no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23C2×C4×Q814yes—
551C23C2×C4×Q814yes—
552C23#51814yes—
553C23#55414yes—
554C23#55414yes—
555C23#55514yes—
556C23Q8214yes—
557C23C24×C411yescharacteristic
558C23C23×Q811yescharacteristic
559C23C23×Q811yescharacteristic
560C23C22×#4111yescharacteristic
561C23C22×#4111yescharacteristic
562C23C2×H(5,𝔽2)11yescharacteristic
563C23C2×H(5,𝔽2)11yescharacteristic
564C23C2×H(5,𝔽2)11yescharacteristic
565C23C2×H(5,𝔽2)11yescharacteristic
566C23C2×H(5,𝔽2)11yescharacteristic
567C23C2×H(5,𝔽2)11yescharacteristic
568C23C2×2−1+411yescharacteristic
569C23C2×2−1+411yescharacteristic
570C23#58511yescharacteristic
571C23#58511yescharacteristic
572Q8—816no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—232no—
598C2×C4—22no—
599C2×C4—28no—
600C2×C4—28no—
601C2×C4—28no—
602C2×C4—22no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—28no—
606C2×C4—28no—
607C2×C4—28no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—28no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—28no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—416no—
617C2×C4—416no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—44no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—44no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—42no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—44no—
637C2×C4—44no—
638C2×C4—44no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—44no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—44no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—816no—
664C2×C4—816no—
665C2×C4C2×C4×Q814yes—
666C2×C4C2×C4×Q814yes—
667C2×C4C2×C4×Q814yes—
668C2×C4C2×C4×Q814yes—
669C2×C4#51814yes—
670C2×C4#52014yes—
671C2×C4#52014yes—
672C2×C4#53814yes—
673C2×C4#53914yes—
674C2×C4#54314yes—
675C2×C4#54414yes—
676C22—24no—
677C22—24no—
678C22—24no—
679C22—24no—
680C22—24no—
681C22—24no—
682C22—24no—
683C22—24no—
684C22—24no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—24no—
690C22#236918yes—
691C22C22×C4×Q811yescharacteristic
692C22C22×C4×Q811yescharacteristic
693C22C2×#51811yescharacteristic
694C22C2×#51811yescharacteristic
695C22C2×#52011yescharacteristic
696C22C2×#52011yescharacteristic
697C22#342811yescharacteristic
698C22C2×#53811yescharacteristic
699C22C2×#53911yescharacteristic
700C22C2×#54311yescharacteristic
701C22C2×#54411yescharacteristic
702C22C2×#55411yescharacteristic
703C22C2×#55411yescharacteristic
704C22C2×#55511yescharacteristic
705C22C2×Q8211yescharacteristic
706C22#350111yescharacteristic
707C22#350111yescharacteristic
708C22#350111yescharacteristic
709C22#350211yescharacteristic
710C22#350311yescharacteristic
711C22#350311yescharacteristic
712C22#350511yescharacteristic
713C22#350511yescharacteristic
714C22#350611yescharacteristic
715C22#350711yescharacteristic
716C22#350811yescharacteristic
717C22#350911yescharacteristic
718C22#353611yescharacteristic
719C22#353611yescharacteristic
720C22#353711yescharacteristic
721C22#353711yescharacteristic
722C22#355811yescharacteristic
723C22#355811yescharacteristic
724C22#355911yescharacteristic
725C22#355911yescharacteristic
726C4—24no—
727C4—24no—
728C4—24no—
729C4—24no—
730C4—48no—
731C4—42no—
732C4—48no—
733C4—48no—
734C4—44no—
735C4—44no—
736C4—82no—
737C4—84no—
738C4—82no—
739C4#232918yes—
740C2—28no—
741C2C2×#232911yescharacteristic
742C2C2×#236911yescharacteristic
743C2#3421211yescharacteristic
744C2#3421311yescharacteristic
745C2#3421411yescharacteristic
746C2#3437911yescharacteristic
747C2#3439811yescharacteristic
748C2#3949511yescharacteristic
749C2#3949611yescharacteristic
750C2#3950311yescharacteristic
751C2#3950411yescharacteristic
752C2#3962311yescharacteristic
753C2#3962411yescharacteristic
754C2#3963111yescharacteristic
755C2#3963211yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #14471C2semidirect
3. #14467C2semidirect
4. #14458C2semidirect
7. #14053C2semidirect
9. #14048C2semidirect
10. #14045C2semidirect
11. #14041C2semidirect
21. #2857C4semidirect
84. C2×C4⋊Q8C2×C4semidirect
93. C22×C4⋊C4Q8semidirect
125. #391C2×C4semidirect
128. #389C2×C4semidirect
129. #389C2×C4semidirect
131. #384C2×C4semidirect
135. #380Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#28572
#144712
#144672
#144582
#142752
#141302
#140532
#140522
#140482
#140452
#140412
C22⋊C4×C4⋊C42
#137782
C4×#3802
C2×C4⋊#952