Finite Group Databasebeta

← #530450

Subgroups — #530450

Order 512.

2742 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C22⋊Q8C211yesmaximal, characteristic
2#14686C211yesmaximal, characteristic
3#14472C214yesmaximal, complemented
4#14471C212yesmaximal, complemented
5#14446C212yesmaximal, complemented
6#14281C212yesmaximal
7#13980C214yesmaximal
8#13925C212yesmaximal, complemented
9#13909C212yesmaximal, complemented
10#13885C212yesmaximal, complemented
11#13884C212yesmaximal, complemented
12#13881C212yesmaximal
13C22⋊C4×C4⋊C4C212yesmaximal
14#13778C212yesmaximal
15C2×C4⋊#95C211yesmaximal, characteristic
16C22×C22⋊Q8C2211yescharacteristic
17C22×C4×Q8C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C42C2211yescharacteristic
21C4×C22⋊Q8C4116yescomplemented
22C2×#391C2211yescharacteristic
23C2×#389C2211yescharacteristic
24C2×#387C2214yes—
25C2×#387C2212yes—
26C2×#385C2212yes—
27C2×#384C2211yescharacteristic
28C2×#384C2211yescharacteristic
29C2×#382C2212yes—
30C2×#382C2212yes—
31C2×#380C2212yes—
32C2×#380C2212yes—
33C2×#380C2212yes—
34C2×#380C2211yescharacteristic
35C2×C4×C4⋊C4C2212yes—
36C2×C4×C4⋊C4C2212yes—
37C2×C4×C4⋊C4C2212yes—
38C2×C4×C4⋊C4C2211yescharacteristic
39C2×C4×C22⋊C4C2214yes—
40C2×C4×C22⋊C4C2212yes—
41C22×#95C2212yes—
42C22×#95C2212yes—
43#1446C2214yes—
44#1445C2214yes—
45#1445C2214yes—
46#1443C2214yes—
47#1442C2214yes—
48#1442C2214yes—
49#1442C2214yes—
50#1441C2214yes—
51#1441C2214yes—
52#1441C2214yes—
53#1436C2214yes—
54#1436C2214yes—
55#1436C2214yes—
56#1436C2214yes—
57#1436C2214yes—
58#1436C2214yes—
59#1436C2214yes—
60#1436C2214yes—
61C4⋊#95C2212yes—
62C4⋊#95C2212yes—
63C4⋊#95C2212yes—
64C4⋊#95C2212yes—
65C4⋊#95C2212yes—
66C4⋊#95C2212yes—
67C4⋊#95C2212yes—
68C4⋊#95C2212yes—
69C4⋊#95C2212yes—
70C4⋊#95C2212yes—
71C4⋊#95C2212yes—
72#1434C2214yes—
73C22⋊#95C2214yes—
74C22⋊#95C2214yes—
75C22⋊#95C2214yes—
76C23×Q8C2311yescharacteristic
77C24×C4C2311yescharacteristic
78C24×C4C2311yescharacteristic
79C24×C4C2312yes—
80C24×C4C2312yes—
81C24×C4C2311yescharacteristic
82C2×C22⋊Q8—24no—
83C2×C22⋊Q8—24no—
84C2×C22⋊Q8C2×C418yes—
85C2×C4×Q8—42no—
86C2×C4×Q8—42no—
87C2×C4×Q8C2×C418yescomplemented
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⋊C4C2311yescharacteristic
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2312yes—
110C22×C22⋊C4C2314yes—
111C22×C22⋊C4C2312yes—
112C22×C22⋊C4C2312yes—
113C22×C42—42no—
114C22×C42—42no—
115C22×C42C2×C418yes—
116C22×C42C2311yescharacteristic
117C22×C42C2311yescharacteristic
118C22×C42C2312yes—
119C22×C42C2312yes—
120C22×C42C2314yes—
121C22×C42C2314yes—
122C22×C42C2311yescharacteristic
123C22×C42C2311yescharacteristic
124#391C2×C418yescomplemented
125#389C2×C418yescomplemented
126#387—48no—
127#387C2×C4116yescomplemented
128#385C2×C4116yes—
129#384—42no—
130#384—42no—
131#382—44no—
132#382—44no—
133#380—28no—
134#380—28no—
135#380—44no—
136#380C2×C418yes—
137C4×C4⋊C4—44no—
138C4×C4⋊C4—44no—
139C4×C4⋊C4C2×C4116yescomplemented
140C4×C4⋊C4C2×C418yescomplemented
141C4×C22⋊C4—48no—
142C4×C22⋊C4C2×C4116yes—
143C2×#95—28no—
144C2×#95—44no—
145C2×#95C2314yes—
146C2×#95C2314yes—
147C2×#95C2314yes—
148C2×#95C2314yes—
149C2×#95C2314yes—
150C2×#95C2314yes—
151C2×#95C2314yes—
152C2×#95C2314yes—
153C2×#95C2314yes—
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×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C25C2411yescharacteristic
172C22×Q8—22no—
173C22×Q8—22no—
174C22×Q8—41no—
175C22×Q8—41no—
176C22×Q8—41no—
177C22×Q8—41no—
178C22×Q8C22×C414yes—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—22no—
183C23×C4—22no—
184C23×C4—22no—
185C23×C4—24no—
186C23×C4—24no—
187C23×C4—22no—
188C23×C4—22no—
189C23×C4—24no—
190C23×C4—24no—
191C23×C4—24no—
192C23×C4—41no—
193C23×C4—41no—
194C23×C4—41no—
195C23×C4—41no—
196C23×C4—41no—
197C23×C4—41no—
198C23×C4—42no—
199C23×C4—42no—
200C23×C4—42no—
201C23×C4—42no—
202C23×C4—42no—
203C23×C4—42no—
204C23×C4—42no—
205C23×C4—42no—
206C23×C4C22×C414yes—
207C23×C4C22×C414yes—
208C23×C4C22×C414yes—
209C23×C4C2×Q814yes—
210C23×C4C2×Q818yes—
211C23×C4#4114yes—
212C23×C4#4114yes—
213C23×C4#4114yes—
214C23×C4C2414yes—
215C23×C4C2414yes—
216C23×C4C2414yes—
217C23×C4C2412yes—
218C23×C4C2412yes—
219C23×C4C2412yes—
220C23×C4C2412yes—
221C23×C4C2411yescharacteristic
222C23×C4C2414yes—
223C23×C4C2411yescharacteristic
224C23×C4C2411yescharacteristic
225C23×C4C2411yescharacteristic
226C23×C4C2411yescharacteristic
227C23×C4C2411yescharacteristic
228C22⋊Q8—232no—
229C4×Q8—416no—
230C2×C4⋊C4—22no—
231C2×C4⋊C4—22no—
232C2×C4⋊C4—24no—
233C2×C4⋊C4—24no—
234C2×C4⋊C4—24no—
235C2×C4⋊C4—24no—
236C2×C4⋊C4—24no—
237C2×C4⋊C4—24no—
238C2×C4⋊C4—24no—
239C2×C4⋊C4—24no—
240C2×C4⋊C4—24no—
241C2×C4⋊C4—24no—
242C2×C4⋊C4—24no—
243C2×C4⋊C4—24no—
244C2×C4⋊C4—24no—
245C2×C4⋊C4—24no—
246C2×C4⋊C4—24no—
247C2×C4⋊C4—24no—
248C2×C4⋊C4—24no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—416no—
253C2×C4⋊C4—42no—
254C2×C4⋊C4—42no—
255C2×C4⋊C4—42no—
256C2×C4⋊C4—42no—
257C2×C4⋊C4—41no—
258C2×C4⋊C4—41no—
259C2×C4⋊C4—41no—
260C2×C4⋊C4—41no—
261C2×C4⋊C4—42no—
262C2×C4⋊C4—42no—
263C2×C4⋊C4—416no—
264C2×C4⋊C4—42no—
265C2×C4⋊C4—42no—
266C2×C4⋊C4—42no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—42no—
271C2×C4⋊C4—42no—
272C2×C4⋊C4C22×C418yes—
273C2×C4⋊C4C22×C414yes—
274C2×C4⋊C4C22×C418yes—
275C2×C4⋊C4C22×C414yes—
276C2×C4⋊C4C22×C418yes—
277C2×C4⋊C4C22×C414yes—
278C2×C4⋊C4C2×Q818yes—
279C2×C4⋊C4C2×Q818yes—
280C2×C22⋊C4—24no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—28no—
287C2×C22⋊C4C22×C418yes—
288C2×C22⋊C4C22×C418yes—
289C2×C42—24no—
290C2×C42—24no—
291C2×C42—22no—
292C2×C42—22no—
293C2×C42—24no—
294C2×C42—22no—
295C2×C42—22no—
296C2×C42—24no—
297C2×C42—416no—
298C2×C42—41no—
299C2×C42—41no—
300C2×C42—41no—
301C2×C42—41no—
302C2×C42—44no—
303C2×C42—44no—
304C2×C42—44no—
305C2×C42—44no—
306C2×C42—44no—
307C2×C42—44no—
308C2×C42C22×C418yes—
309C2×C42C22×C414yes—
310C2×C42C22×C418yes—
311C2×C42C22×C414yes—
312C2×C42C22×C414yes—
313C2×C42C22×C414yes—
314#95—28no—
315#95—28no—
316#95—28no—
317#95—28no—
318#95—28no—
319#95—44no—
320#95—44no—
321#95—44no—
322#95—44no—
323#95—44no—
324#95—44no—
325#95—44no—
326#95—44no—
327#95—44no—
328#95—44no—
329#95—44no—
330#95—44no—
331#95—44no—
332#95—44no—
333#95—44no—
334#95—44no—
335#95C22×C418yes—
336#95C22×C418yes—
337#95C22×C418yes—
338#95C22×C418yes—
339#95C22×C418yes—
340C24—21no—
341C24—21no—
342C24—21no—
343C24—21no—
344C24—21no—
345C24—21no—
346C24—21no—
347C24—21no—
348C24C23×C412yes—
349C24C22×Q812yes—
350C24C2×#4112yes—
351C24C2×#4112yes—
352C24C2×#4112yes—
353C24H(5,𝔽2)12yes—
354C242−1+412yes—
355C24C2511yescharacteristic
356C2×Q8—28no—
357C2×Q8—44no—
358C2×Q8—44no—
359C2×Q8—44no—
360C2×Q8—44no—
361C2×Q8—44no—
362C2×Q8—44no—
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—21no—
379C22×C4—28no—
380C22×C4—28no—
381C22×C4—28no—
382C22×C4—28no—
383C22×C4—28no—
384C22×C4—28no—
385C22×C4—28no—
386C22×C4—24no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—24no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—21no—
395C22×C4—21no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—24no—
404C22×C4—24no—
405C22×C4—24no—
406C22×C4—22no—
407C22×C4—21no—
408C22×C4—21no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—24no—
421C22×C4—22no—
422C22×C4—216no—
423C22×C4—28no—
424C22×C4—24no—
425C22×C4—24no—
426C22×C4—24no—
427C22×C4—24no—
428C22×C4—24no—
429C22×C4—24no—
430C22×C4—24no—
431C22×C4—24no—
432C22×C4—24no—
433C22×C4—24no—
434C22×C4—24no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—44no—
446C22×C4—44no—
447C22×C4—44no—
448C22×C4—44no—
449C22×C4—44no—
450C22×C4—44no—
451C22×C4—44no—
452C22×C4—48no—
453C22×C4—48no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—44no—
457C22×C4—44no—
458C22×C4—48no—
459C22×C4—48no—
460C22×C4—48no—
461C22×C4—84no—
462C22×C4—84no—
463C22×C4—84no—
464C22×C4—84no—
465C22×C4—84no—
466C22×C4—84no—
467C22×C4—84no—
468C22×C4—84no—
469C22×C4#117116yes—
470C22×C4C4×Q8116yes—
471C22×C4C23×C414yes—
472C22×C4C23×C412yes—
473C22×C4C23×C414yes—
474C22×C4C23×C414yes—
475C22×C4C23×C414yes—
476C22×C4C23×C412yes—
477C22×C4C23×C412yes—
478C22×C4C23×C412yes—
479C22×C4C23×C412yes—
480C22×C4C23×C412yes—
481C22×C4C22×Q818yes—
482C22×C4C22×Q812yes—
483C22×C4C22×Q812yes—
484C22×C4C2×#4112yes—
485C22×C4C2×#4112yes—
486C22×C4C2×#4112yes—
487C22×C4C2×#4112yes—
488C22×C4C2×#4112yes—
489C22×C4C2×#4112yes—
490C22×C4H(5,𝔽2)12yes—
491C22×C4H(5,𝔽2)12yes—
492C22×C4H(5,𝔽2)12yes—
493C22×C4H(5,𝔽2)12yes—
494C22×C42−1+412yes—
495C22×C42−1+412yes—
496C4⋊C4—28no—
497C4⋊C4—216no—
498C4⋊C4—216no—
499C4⋊C4—216no—
500C4⋊C4—48no—
501C4⋊C4—44no—
502C4⋊C4—44no—
503C4⋊C4—48no—
504C4⋊C4—48no—
505C4⋊C4—48no—
506C4⋊C4—48no—
507C4⋊C4—48no—
508C4⋊C4—84no—
509C4⋊C4—84no—
510C4⋊C4—84no—
511C4⋊C4—84no—
512C22⋊C4—216no—
513C22⋊C4—216no—
514C22⋊C4—416no—
515C42—28no—
516C42—28no—
517C42—216no—
518C42—216no—
519C42—44no—
520C42—44no—
521C42—88no—
522C42—88no—
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—
550C23—22no—
551C23C2×#11714yes—
552C23C2×C4×Q814yes—
553C23#52014yes—
554C23#55414yes—
555C23#55614yes—
556C23#55714yes—
557C23#55914yes—
558C23C24×C411yescharacteristic
559C23C23×Q811yescharacteristic
560C23C22×#4111yescharacteristic
561C23C22×#4111yescharacteristic
562C23C22×#4111yescharacteristic
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
570C23C2×2−1+411yescharacteristic
571C23#58511yescharacteristic
572C23#58511yescharacteristic
573Q8—416no—
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—22no—
598C2×C4—232no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—28no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—416no—
618C2×C4—416no—
619C2×C4—44no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—44no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—44no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—44no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—816no—
665C2×C4—816no—
666C2×C4C2×#11714yes—
667C2×C4C2×#11714yes—
668C2×C4C2×C4×Q814yes—
669C2×C4C2×C4×Q814yes—
670C2×C4#51814yes—
671C2×C4#52014yes—
672C2×C4#52014yes—
673C2×C4#53814yes—
674C2×C4#53914yes—
675C2×C4#54314yes—
676C2×C4#54414yes—
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—24no—
691C22#235518yes—
692C22C22×#11711yescharacteristic
693C22C22×C4×Q811yescharacteristic
694C22C2×#51811yescharacteristic
695C22C2×#52011yescharacteristic
696C22C2×#52011yescharacteristic
697C22C2×#52011yescharacteristic
698C22#342811yescharacteristic
699C22C2×#53811yescharacteristic
700C22C2×#53911yescharacteristic
701C22C2×#54311yescharacteristic
702C22C2×#54411yescharacteristic
703C22C2×#55411yescharacteristic
704C22C2×#55611yescharacteristic
705C22C2×#55711yescharacteristic
706C22C2×#55911yescharacteristic
707C22#350111yescharacteristic
708C22#350211yescharacteristic
709C22#350511yescharacteristic
710C22#350511yescharacteristic
711C22#350511yescharacteristic
712C22#350511yescharacteristic
713C22#350611yescharacteristic
714C22#350711yescharacteristic
715C22#350811yescharacteristic
716C22#350911yescharacteristic
717C22#351111yescharacteristic
718C22#351111yescharacteristic
719C22#353611yescharacteristic
720C22#353611yescharacteristic
721C22#353711yescharacteristic
722C22#353811yescharacteristic
723C22#355811yescharacteristic
724C22#355911yescharacteristic
725C22#356111yescharacteristic
726C22#356311yescharacteristic
727C4—24no—
728C4—24no—
729C4—24no—
730C4—24no—
731C4—44no—
732C4—42no—
733C4—48no—
734C4—44no—
735C4—44no—
736C4—44no—
737C4—84no—
738C4—84no—
739C4—84no—
740C4#232918yes—
741C2—28no—
742C2C2×#232911yescharacteristic
743C2C2×#235511yescharacteristic
744C2#3418511yescharacteristic
745C2#3418811yescharacteristic
746C2#3421311yescharacteristic
747C2#3436011yescharacteristic
748C2#3438211yescharacteristic
749C2#3949511yescharacteristic
750C2#3949611yescharacteristic
751C2#3951111yescharacteristic
752C2#3951211yescharacteristic
753C2#3975111yescharacteristic
754C2#3975211yescharacteristic
755C2#3976711yescharacteristic
756C2#3976811yescharacteristic
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
3. #14472C2semidirect
4. #14471C2semidirect
5. #14446C2semidirect
8. #13925C2semidirect
9. #13909C2semidirect
10. #13885C2semidirect
11. #13884C2semidirect
21. C4×C22⋊Q8C4semidirect
87. C2×C4×Q8C2×C4semidirect
93. C22×C4⋊C4Q8semidirect
124. #391C2×C4semidirect
125. #389C2×C4semidirect
127. #387C2×C4semidirect
139. C4×C4⋊C4C2×C4semidirect
140. C4×C4⋊C4C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C22⋊Q82
#146862
#144722
#144712
#144462
#142812
#139802
#139252
#139092
#138852
#138842
#138812
C22⋊C4×C4⋊C42
#137782
C2×C4⋊#952