Finite Group Databasebeta

← #522150

Subgroups — #522150

Order 512.

3030 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2857C211yesmaximal, characteristic
2C2×#2329C212yesmaximal
3#14446C212yesmaximal, complemented
4#14441C212yesmaximal, complemented
5#14430C214yesmaximal, complemented
6#14281C212yesmaximal
7#14130C212yesmaximal
8#14053C212yesmaximal, complemented
9#14049C212yesmaximal, complemented
10#14046C212yesmaximal, complemented
11#14042C212yesmaximal, complemented
12#14028C214yesmaximal
13C22⋊C4×C4⋊C4C212yesmaximal
14C4×#380C211yesmaximal, characteristic
15C2×C4⋊#95C211yesmaximal, characteristic
16C22×C4⋊Q8C2211yescharacteristic
17C22×C22⋊Q8C2212yes—
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C42C2211yescharacteristic
21#2857C4116yescomplemented
22#2329—216no—
23C2×#391C2214yes—
24C2×#391C2212yes—
25C2×#389C2214yes—
26C2×#389C2212yes—
27C2×#389C2212yes—
28C2×#389C2212yes—
29C2×#389C2212yes—
30C2×#387C2214yes—
31C2×#387C2214yes—
32C2×#387C2214yes—
33C2×#385C2214yes—
34C2×#384C2211yescharacteristic
35C2×#380C2211yescharacteristic
36C2×#380C2212yes—
37C2×#380C2212yes—
38C2×#380C2211yescharacteristic
39C2×C4×C4⋊C4C2211yescharacteristic
40C2×C4×C4⋊C4C2211yescharacteristic
41C2×C4×C4⋊C4C2212yes—
42C2×C4×C4⋊C4C2212yes—
43C2×C4×C22⋊C4C2214yes—
44C2×C4×C22⋊C4C2212yes—
45C22×#95C2212yes—
46C22×#95C2212yes—
47#1446C2214yes—
48#1445C2214yes—
49#1445C2214yes—
50#1444C2214yes—
51#1443C2214yes—
52#1442C2214yes—
53#1442C2214yes—
54#1441C2214yes—
55#1441C2214yes—
56#1441C2214yes—
57#1436C2214yes—
58#1436C2214yes—
59#1436C2214yes—
60#1436C2214yes—
61C4⋊#95C2212yes—
62C4⋊#95C2212yes—
63C4⋊#95C2212yes—
64C4⋊#95C2211yescharacteristic
65C4⋊#95C2212yes—
66C4⋊#95C2211yescharacteristic
67C4⋊#95C2212yes—
68C4⋊#95C2212yes—
69C4⋊#95C2212yes—
70C4⋊#95C2212yes—
71#1434C2212yes—
72#1434C2214yes—
73C22⋊#95C2214yes—
74C22⋊#95C2214yes—
75C22⋊#95C2212yes—
76C4×#95C2212yes—
77C23×Q8C2312yes—
78C24×C4C2311yescharacteristic
79C24×C4C2311yescharacteristic
80C24×C4C2312yes—
81C24×C4C2312yes—
82C24×C4C2311yescharacteristic
83C2×C4⋊Q8—42no—
84C2×C4⋊Q8—42no—
85C2×C4⋊Q8C2×C418yescomplemented
86C2×C22⋊Q8—28no—
87C2×C22⋊Q8—28no—
88C2×C22⋊Q8C2×C4116yes—
89C22×C4⋊C4—24no—
90C22×C4⋊C4—42no—
91C22×C4⋊C4—42no—
92C22×C4⋊C4—42no—
93C22×C4⋊C4—42no—
94C22×C4⋊C4Q818yescomplemented
95C22×C4⋊C4C2312yes—
96C22×C4⋊C4C2314yes—
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2311yescharacteristic
104C22×C4⋊C4C2311yescharacteristic
105C22×C4⋊C4C2314yes—
106C22×C4⋊C4C2314yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C22⋊C4C2312yes—
112C22×C22⋊C4C2314yes—
113C22×C22⋊C4C2312yes—
114C22×C42—42no—
115C22×C42—42no—
116C22×C42C2×C418yes—
117C22×C42C2312yes—
118C22×C42C2312yes—
119C22×C42C2311yescharacteristic
120C22×C42C2311yescharacteristic
121C22×C42C2314yes—
122C22×C42C2314yes—
123C22×C42C2311yescharacteristic
124C22×C42C2311yescharacteristic
125#391—216no—
126#391C2×C4116yescomplemented
127#389—216no—
128#389—44no—
129#389—44no—
130#389C2×C4116yescomplemented
131#389C2×C4116yescomplemented
132#387—216no—
133#387—216no—
134#387—48no—
135#385—216no—
136#384C2×C418yescomplemented
137#380—24no—
138#380C2×C4116yes—
139#380C2×C4116yes—
140#380D418yes—
141C4×C4⋊C4—42no—
142C4×C4⋊C4—42no—
143C4×C4⋊C4—44no—
144C4×C4⋊C4—44no—
145C4×C22⋊C4—28no—
146C4×C22⋊C4—216no—
147C2×#95—28no—
148C2×#95—44no—
149C2×#95C2312yes—
150C2×#95C2312yes—
151C2×#95C2312yes—
152C2×#95C2312yes—
153C2×#95C2312yes—
154C2×#95C2314yes—
155C2×#95C2314yes—
156C2×#95C2314yes—
157C2×#95C2314yes—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2312yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2312yes—
175C25C2411yescharacteristic
176C22×Q8—24no—
177C22×Q8—24no—
178C22×Q8—42no—
179C22×Q8—42no—
180C22×Q8—42no—
181C22×Q8—42no—
182C22×Q8C22×C418yes—
183C23×C4—22no—
184C23×C4—22no—
185C23×C4—22no—
186C23×C4—22no—
187C23×C4—22no—
188C23×C4—22no—
189C23×C4—24no—
190C23×C4—24no—
191C23×C4—22no—
192C23×C4—22no—
193C23×C4—24no—
194C23×C4—24no—
195C23×C4—24no—
196C23×C4—41no—
197C23×C4—41no—
198C23×C4—41no—
199C23×C4—41no—
200C23×C4—41no—
201C23×C4—41no—
202C23×C4—42no—
203C23×C4—42no—
204C23×C4—42no—
205C23×C4—42no—
206C23×C4—42no—
207C23×C4—42no—
208C23×C4—42no—
209C23×C4—42no—
210C23×C4C22×C414yes—
211C23×C4C22×C414yes—
212C23×C4C22×C414yes—
213C23×C4C2×D414yes—
214C23×C4C2×Q814yes—
215C23×C4C2×Q818yes—
216C23×C4#4114yes—
217C23×C4#4114yes—
218C23×C4C2412yes—
219C23×C4C2412yes—
220C23×C4C2414yes—
221C23×C4C2414yes—
222C23×C4C2414yes—
223C23×C4C2411yescharacteristic
224C23×C4C2412yes—
225C23×C4C2412yes—
226C23×C4C2414yes—
227C23×C4C2411yescharacteristic
228C23×C4C2411yescharacteristic
229C23×C4C2411yescharacteristic
230C23×C4C2411yescharacteristic
231C23×C4C2411yescharacteristic
232C4⋊Q8—416no—
233C22⋊Q8—264no—
234C2×C4⋊C4—24no—
235C2×C4⋊C4—28no—
236C2×C4⋊C4—24no—
237C2×C4⋊C4—28no—
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—22no—
249C2×C4⋊C4—22no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—28no—
253C2×C4⋊C4—28no—
254C2×C4⋊C4—416no—
255C2×C4⋊C4—42no—
256C2×C4⋊C4—42no—
257C2×C4⋊C4—42no—
258C2×C4⋊C4—42no—
259C2×C4⋊C4—41no—
260C2×C4⋊C4—41no—
261C2×C4⋊C4—41no—
262C2×C4⋊C4—41no—
263C2×C4⋊C4—42no—
264C2×C4⋊C4—42no—
265C2×C4⋊C4—41no—
266C2×C4⋊C4—41no—
267C2×C4⋊C4—41no—
268C2×C4⋊C4—41no—
269C2×C4⋊C4—416no—
270C2×C4⋊C4—44no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4C22×C418yes—
275C2×C4⋊C4C22×C4116yes—
276C2×C4⋊C4C22×C418yes—
277C2×C4⋊C4C22×C418yes—
278C2×C4⋊C4C22×C418yes—
279C2×C4⋊C4C22×C418yes—
280C2×C4⋊C4C2×D414yes—
281C2×C4⋊C4C2×D414yes—
282C2×C4⋊C4C2×Q818yes—
283C2×C4⋊C4C2×Q818yes—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4C22×C4116yes—
292C2×C22⋊C4C2×D418yes—
293C2×C42—22no—
294C2×C42—22no—
295C2×C42—22no—
296C2×C42—22no—
297C2×C42—24no—
298C2×C42—24no—
299C2×C42—24no—
300C2×C42—24no—
301C2×C42—24no—
302C2×C42—24no—
303C2×C42—28no—
304C2×C42—28no—
305C2×C42—416no—
306C2×C42—41no—
307C2×C42—41no—
308C2×C42—41no—
309C2×C42—41no—
310C2×C42—44no—
311C2×C42—44no—
312C2×C42—44no—
313C2×C42—44no—
314C2×C42C22×C414yes—
315C2×C42C22×C414yes—
316C2×C42C22×C414yes—
317C2×C42C22×C414yes—
318#95—28no—
319#95—28no—
320#95—28no—
321#95—28no—
322#95—28no—
323#95—28no—
324#95—24no—
325#95—24no—
326#95—24no—
327#95—28no—
328#95—24no—
329#95—24no—
330#95—44no—
331#95—44no—
332#95—44no—
333#95—42no—
334#95—42no—
335#95—44no—
336#95—44no—
337#95—44no—
338#95—44no—
339#95—44no—
340#95—44no—
341#95C22×C4116yes—
342#95C22×C4116yes—
343#95C2×D418yes—
344C24—21no—
345C24—21no—
346C24—21no—
347C24—21no—
348C24—21no—
349C24—21no—
350C24—21no—
351C24—21no—
352C24C23×C412yes—
353C24C22×D412yes—
354C24C22×Q812yes—
355C24C2×#4112yes—
356C24C2×#4112yes—
357C242−1+412yes—
358C242−1+412yes—
359C24C2511yescharacteristic
360C2×Q8—216no—
361C2×Q8—48no—
362C2×Q8—48no—
363C2×Q8—84no—
364C2×Q8—84no—
365C2×Q8—84no—
366C2×Q8—84no—
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—21no—
380C22×C4—21no—
381C22×C4—21no—
382C22×C4—21no—
383C22×C4—28no—
384C22×C4—28no—
385C22×C4—28no—
386C22×C4—28no—
387C22×C4—28no—
388C22×C4—28no—
389C22×C4—28no—
390C22×C4—24no—
391C22×C4—24no—
392C22×C4—24no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—24no—
396C22×C4—24no—
397C22×C4—24no—
398C22×C4—22no—
399C22×C4—21no—
400C22×C4—21no—
401C22×C4—21no—
402C22×C4—24no—
403C22×C4—24no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—24no—
407C22×C4—24no—
408C22×C4—24no—
409C22×C4—24no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—24no—
416C22×C4—24no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—24no—
421C22×C4—24no—
422C22×C4—24no—
423C22×C4—24no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—216no—
427C22×C4—28no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—24no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—44no—
450C22×C4—44no—
451C22×C4—44no—
452C22×C4—44no—
453C22×C4—44no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—48no—
457C22×C4—48no—
458C22×C4—44no—
459C22×C4—44no—
460C22×C4—44no—
461C22×C4—44no—
462C22×C4—48no—
463C22×C4—48no—
464C22×C4—48no—
465C22×C4—84no—
466C22×C4—84no—
467C22×C4—84no—
468C22×C4—84no—
469C22×C4—84no—
470C22×C4—84no—
471C22×C4—84no—
472C22×C4—84no—
473C22×C4C4×D4116yes—
474C22×C4C4×Q8116yes—
475C22×C4C23×C412yes—
476C22×C4C23×C418yes—
477C22×C4C23×C418yes—
478C22×C4C23×C412yes—
479C22×C4C23×C412yes—
480C22×C4C23×C412yes—
481C22×C4C23×C412yes—
482C22×C4C23×C412yes—
483C22×C4C22×D414yes—
484C22×C4C22×D414yes—
485C22×C4C22×D412yes—
486C22×C4C22×D412yes—
487C22×C4C22×Q818yes—
488C22×C4C22×Q812yes—
489C22×C4C22×Q812yes—
490C22×C4C2×#4112yes—
491C22×C4C2×#4112yes—
492C22×C4C2×#4112yes—
493C22×C4C2×#4112yes—
494C22×C4H(5,𝔽2)12yes—
495C22×C4H(5,𝔽2)12yes—
496C22×C4H(5,𝔽2)12yes—
497C22×C4H(5,𝔽2)12yes—
498C22×C42−1+412yes—
499C22×C42−1+412yes—
500C4⋊C4—216no—
501C4⋊C4—232no—
502C4⋊C4—216no—
503C4⋊C4—216no—
504C4⋊C4—216no—
505C4⋊C4—216no—
506C4⋊C4—48no—
507C4⋊C4—48no—
508C4⋊C4—44no—
509C4⋊C4—44no—
510C4⋊C4—44no—
511C4⋊C4—44no—
512C4⋊C4—48no—
513C4⋊C4—48no—
514C4⋊C4—88no—
515C4⋊C4—88no—
516C22⋊C4—232no—
517C22⋊C4—216no—
518C22⋊C4—48no—
519C42—28no—
520C42—28no—
521C42—44no—
522C42—44no—
523C42—48no—
524C42—48no—
525C42—88no—
526C42—88no—
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—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23C2×C4×D414yes—
556C23C2×C4×Q814yes—
557C23#51914yes—
558C23#54714yes—
559C23D4×Q814yes—
560C23#55614yes—
561C23#55714yes—
562C23C24×C411yescharacteristic
563C23C23×D411yescharacteristic
564C23C23×Q811yescharacteristic
565C23C22×#4111yescharacteristic
566C23C22×#4111yescharacteristic
567C23C2×H(5,𝔽2)11yescharacteristic
568C23C2×H(5,𝔽2)11yescharacteristic
569C23C2×H(5,𝔽2)11yescharacteristic
570C23C2×H(5,𝔽2)11yescharacteristic
571C23C2×2−1+411yescharacteristic
572C23C2×2−1+411yescharacteristic
573C23C2×2−1+411yescharacteristic
574C23C2×2−1+411yescharacteristic
575C23#58511yescharacteristic
576C23#58511yescharacteristic
577Q8—816no—
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—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—232no—
603C2×C4—28no—
604C2×C4—28no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—22no—
608C2×C4—28no—
609C2×C4—28no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—28no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—28no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—28no—
621C2×C4—416no—
622C2×C4—416no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—44no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—44no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—816no—
669C2×C4—816no—
670C2×C4C2×C4×D414yes—
671C2×C4C2×C4×D414yes—
672C2×C4C2×C4×Q814yes—
673C2×C4C2×C4×Q814yes—
674C2×C4#51814yes—
675C2×C4#52014yes—
676C2×C4#52014yes—
677C2×C4#53814yes—
678C2×C4#53914yes—
679C2×C4#54314yes—
680C2×C4#54414yes—
681C22—24no—
682C22—24no—
683C22—24no—
684C22—24no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—24no—
690C22—24no—
691C22—24no—
692C22—24no—
693C22—24no—
694C22—24no—
695C22#236518yes—
696C22C22×C4×D411yescharacteristic
697C22C22×C4×Q811yescharacteristic
698C22C2×#51811yescharacteristic
699C22C2×#51911yescharacteristic
700C22C2×#52011yescharacteristic
701C22C2×#52011yescharacteristic
702C22#342811yescharacteristic
703C22C2×#53811yescharacteristic
704C22C2×#53911yescharacteristic
705C22C2×#54311yescharacteristic
706C22C2×#54411yescharacteristic
707C22C2×#54711yescharacteristic
708C22C2×D4×Q811yescharacteristic
709C22C2×#55611yescharacteristic
710C22C2×#55711yescharacteristic
711C22#349611yescharacteristic
712C22#349611yescharacteristic
713C22#349811yescharacteristic
714C22#349911yescharacteristic
715C22#350111yescharacteristic
716C22#350211yescharacteristic
717C22#350511yescharacteristic
718C22#350511yescharacteristic
719C22#350611yescharacteristic
720C22#350711yescharacteristic
721C22#351111yescharacteristic
722C22#351111yescharacteristic
723C22#353611yescharacteristic
724C22#353611yescharacteristic
725C22#353811yescharacteristic
726C22#353811yescharacteristic
727C22#356111yescharacteristic
728C22#356111yescharacteristic
729C22#356311yescharacteristic
730C22#356311yescharacteristic
731C4—24no—
732C4—24no—
733C4—24no—
734C4—24no—
735C4—42no—
736C4—48no—
737C4—48no—
738C4—48no—
739C4—44no—
740C4—44no—
741C4—82no—
742C4—82no—
743C4—84no—
744C4#232918yescomplemented
745C2—28no—
746C2C2×#232911yescharacteristic
747C2C2×#236511yescharacteristic
748C2#3420511yescharacteristic
749C2#3420711yescharacteristic
750C2#3421311yescharacteristic
751C2#3438011yescharacteristic
752C2#3439911yescharacteristic
753C2#3936711yescharacteristic
754C2#3936811yescharacteristic
755C2#3937511yescharacteristic
756C2#3937611yescharacteristic
757C2#3975111yescharacteristic
758C2#3975211yescharacteristic
759C2#3975911yescharacteristic
760C2#3976011yescharacteristic
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. #14446C2semidirect
4. #14441C2semidirect
5. #14430C2semidirect
8. #14053C2semidirect
9. #14049C2semidirect
10. #14046C2semidirect
11. #14042C2semidirect
21. #2857C4semidirect
85. C2×C4⋊Q8C2×C4semidirect
94. C22×C4⋊C4Q8semidirect
126. #391C2×C4semidirect
130. #389C2×C4semidirect
131. #389C2×C4semidirect
136. #384C2×C4semidirect
744. C4#2329semidirect

Maximal subgroups

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

subgroupindex
C2×#28572
C2×#23292
#144462
#144412
#144302
#142812
#141302
#140532
#140492
#140462
#140422
#140282
C22⋊C4×C4⋊C42
C4×#3802
C2×C4⋊#952