Finite Group Databasebeta

← #658466

Subgroups — #658466

Order 512.

3120 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2417C211yesmaximal, characteristic
2C22×#384C211yesmaximal, characteristic, complemented
3#15790C214yesmaximal, complemented
4#15771C214yesmaximal, complemented
5#15182C212yesmaximal, complemented
6#15146C212yesmaximal, complemented
7#15091C212yesmaximal
8#14822C212yesmaximal, complemented
9#14702C211yesmaximal, characteristic, complemented
10#14139C211yesmaximal, characteristic, complemented
11#14019C212yesmaximal
12#14000C212yesmaximal, complemented
13#13923C212yesmaximal, complemented
14#13876C212yesmaximal, complemented
15#13872C211yesmaximal, characteristic
16C22⋊C4×C4⋊C4C211yesmaximal, characteristic, complemented
17C4×#386C211yesmaximal, characteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C23×C4⋊C4C2212yes—
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2212yes—
24C23×C4⋊C4C2211yescharacteristic
25C23×C42C2211yescharacteristic
26#2417—28no—
27C2×#400C2214yes—
28C2×#398C2212yes—
29C2×#396C2212yes—
30C2×#391C2212yes—
31C2×#391C2211yescharacteristic
32C2×#391C2212yes—
33C2×#389C2211yescharacteristic
34C2×#388C2214yes—
35C2×#386C2212yes—
36C2×#386C2211yescharacteristic
37C2×#386C2212yes—
38C2×#386C2211yescharacteristic
39C2×#384—28no—
40C2×#384C2212yes—
41C2×#384C2212yes—
42C2×#384C2214yes—
43C2×#380C2211yescharacteristic
44C2×#380C2211yescharacteristic
45C2×#380C2212yes—
46C2×#380C2212yes—
47C2×C4×C4⋊C4C2212yes—
48C2×C4×C22⋊C4C2212yes—
49C2×C4×C22⋊C4C2211yescharacteristic
50C2×C4×C22⋊C4C2212yes—
51#1442C2214yes—
52#1442C2214yes—
53#1442C2214yes—
54#1442C2214yes—
55#1442C2214yes—
56#1441C2214yes—
57#1441C2212yes—
58#1441C2214yes—
59#1441C2214yes—
60#1441C2214yes—
61#1439C2212yes—
62#1439C2214yes—
63#1439C2214yes—
64#1439C2214yes—
65#1437C2212yes—
66#1436C2214yes—
67#1436C2214yes—
68#1436C2214yes—
69#1436C2214yes—
70#1436C2212yes—
71#1436C2214yes—
72C4⋊#95C2212yes—
73C4⋊#95C2212yes—
74C4⋊#95C2212yes—
75C4⋊#95C2212yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C22⋊#95C2211yescharacteristic
80C22⋊#95C2212yes—
81C22⋊#95C2212yes—
82C22⋊#95C2211yescharacteristic
83C22⋊#95C2212yes—
84C4×#95C2212yes—
85C23×Q8C2311yescharacteristic
86C23×D4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C24×C4C2312yes—
93C2×C22⋊Q8—24no—
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—24no—
97C2×C22⋊Q8—44no—
98C2×C4×D4—24no—
99C2×C4×D4—24no—
100C2×C4×D4—24no—
101C22×C4⋊C4—28no—
102C22×C4⋊C4—28no—
103C22×C4⋊C4—24no—
104C22×C4⋊C4—28no—
105C22×C4⋊C4—44no—
106C22×C4⋊C4—44no—
107C22×C4⋊C4—48no—
108C22×C4⋊C4—44no—
109C22×C4⋊C4D418yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C22⋊C4C2311yescharacteristic
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2311yescharacteristic
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2311yescharacteristic
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C42—24no—
137C22×C42—28no—
138C22×C42C2312yes—
139C22×C42C2311yescharacteristic
140C22×C42C2312yes—
141C22×C42C2312yes—
142C22×C42C2314yes—
143#400—48no—
144#398—28no—
145#396—28no—
146#391—24no—
147#391—28no—
148#391—44no—
149#389—24no—
150#388—48no—
151#386—28no—
152#386—24no—
153#386—44no—
154#386Q818yescomplemented
155#384—28no—
156#384—28no—
157#384—216no—
158#380—28no—
159#380—24no—
160#380—24no—
161#380—44no—
162C4×C4⋊C4—44no—
163C4×C22⋊C4—24no—
164C4×C22⋊C4—28no—
165C4×C22⋊C4—44no—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C25C2411yescharacteristic
193C25C2411yescharacteristic
194C22×Q8—22no—
195C22×Q8—22no—
196C22×Q8—22no—
197C22×Q8—24no—
198C22×Q8—24no—
199C22×D4—22no—
200C22×D4—22no—
201C22×D4—22no—
202C22×D4—22no—
203C22×D4—22no—
204C22×D4—22no—
205C22×D4C2×Q814yes—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—24no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—44no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4C2×D414yes—
231C23×C4C2×D418yes—
232C23×C4C2×Q814yes—
233C23×C4#4114yes—
234C23×C4#4114yes—
235C23×C4#4114yes—
236C23×C4C2412yes—
237C23×C4C2412yes—
238C23×C4C2411yescharacteristic
239C23×C4C2414yes—
240C23×C4C2412yes—
241C23×C4C2414yes—
242C23×C4C2411yescharacteristic
243C23×C4C2412yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2411yescharacteristic
247C23×C4C2411yescharacteristic
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2411yescharacteristic
251C22⋊Q8—416no—
252C22⋊Q8—416no—
253C4×D4—416no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—28no—
257C2×C4⋊C4—28no—
258C2×C4⋊C4—28no—
259C2×C4⋊C4—28no—
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—28no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—416no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—432no—
291C2×C4⋊C4—432no—
292C2×C4⋊C4—416no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4C2×D414yes—
295C2×C4⋊C4C2×D414yes—
296C2×C4⋊C4C2×D418yes—
297C2×C22⋊C4—22no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—22no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—22no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—22no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4C2×Q814yes—
327C2×C22⋊C4C2×Q818yes—
328C2×C42—232no—
329C2×C42—24no—
330C2×C42—24no—
331C2×C42—24no—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42—22no—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—44no—
341C2×C42—44no—
342C2×C42—44no—
343C2×C42#4118yes—
344#95—24no—
345#95—24no—
346#95—24no—
347#95—24no—
348#95—24no—
349#95—24no—
350#95—24no—
351#95—24no—
352#95—24no—
353#95—28no—
354#95—28no—
355#95—28no—
356#95—24no—
357#95—24no—
358#95—28no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95C2×Q818yes—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—21no—
375C24—22no—
376C24—21no—
377C24—21no—
378C24—21no—
379C24—22no—
380C24—22no—
381C24—21no—
382C24—22no—
383C24—21no—
384C24C22×D412yes—
385C24C22×Q812yes—
386C24C22×Q812yes—
387C24C2×#4112yes—
388C24C2×#4112yes—
389C24C2×#4112yes—
390C24H(5,𝔽2)12yes—
391C242−1+412yes—
392C24C2511yescharacteristic
393C2×Q8—44no—
394C2×Q8—44no—
395C2×Q8—44no—
396C2×Q8—48no—
397C2×Q8—48no—
398C2×D4—28no—
399C2×D4—28no—
400C2×D4—28no—
401C2×D4—44no—
402C2×D4—44no—
403C2×D4—44no—
404C2×D4—44no—
405C22×C4—28no—
406C22×C4—28no—
407C22×C4—28no—
408C22×C4—28no—
409C22×C4—216no—
410C22×C4—216no—
411C22×C4—28no—
412C22×C4—28no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—28no—
424C22×C4—28no—
425C22×C4—216no—
426C22×C4—216no—
427C22×C4—216no—
428C22×C4—216no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—216no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—88no—
502C22×C4—88no—
503C22×C4—88no—
504C22×C4—88no—
505C22×C4#124116yes—
506C22×C4C22×D414yes—
507C22×C4C22×D414yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×Q812yes—
511C22×C4C22×Q814yes—
512C22×C4C22×Q814yes—
513C22×C4C2×#4112yes—
514C22×C4C2×#4112yes—
515C22×C4C2×#4114yes—
516C22×C4C2×#4114yes—
517C22×C4C2×#4114yes—
518C22×C4C2×#4114yes—
519C22×C4C2×#4112yes—
520C22×C4C2×#4112yes—
521C22×C4H(5,𝔽2)14yes—
522C22×C4H(5,𝔽2)14yes—
523C22×C42−1+414yes—
524C4⋊C4—28no—
525C4⋊C4—28no—
526C4⋊C4—48no—
527C4⋊C4—416no—
528C4⋊C4—416no—
529C4⋊C4—416no—
530C4⋊C4—416no—
531C4⋊C4—48no—
532C4⋊C4—48no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C4⋊C4—48no—
536C4⋊C4—48no—
537C4⋊C4—48no—
538C4⋊C4—84no—
539C22⋊C4—28no—
540C22⋊C4—216no—
541C22⋊C4—48no—
542C22⋊C4—44no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—44no—
546C22⋊C4—44no—
547C22⋊C4—48no—
548C22⋊C4—84no—
549C22⋊C4—88no—
550C42—216no—
551C42—216no—
552C42—44no—
553C42—48no—
554C42—88no—
555C23—22no—
556C23—22no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—22no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—22no—
575C23—24no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23C2×#12414yes—
595C23#53314yes—
596C23#54214yes—
597C23#54614yes—
598C23D4×Q814yes—
599C23#55414yes—
600C23#55614yes—
601C23C23×D411yescharacteristic
602C23C23×Q811yescharacteristic
603C23C22×#4112yes—
604C23C22×#4111yescharacteristic
605C23C22×#4111yescharacteristic
606C23C22×#4111yescharacteristic
607C23C2×H(5,𝔽2)12yes—
608C23C2×H(5,𝔽2)11yescharacteristic
609C23C2×H(5,𝔽2)12yes—
610C23C2×2−1+411yescharacteristic
611C23C2×2−1+412yes—
612Q8—88no—
613D4—416no—
614C2×C4—232no—
615C2×C4—232no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—232no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—816no—
699C2×C4—816no—
700C2×C4—88no—
701C2×C4#52514yes—
702C2×C4C2×#12414yes—
703C2×C4C2×#12414yes—
704C2×C4#53414yes—
705C2×C4#55218yes—
706C2×C4#55318yes—
707C2×C4#55318yes—
708C2×C4#55418yes—
709C22—28no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—28no—
715C22—28no—
716C22—24no—
717C22—28no—
718C22—24no—
719C22—44no—
720C22—42no—
721C22—44no—
722C22—42no—
723C22—42no—
724C22—82no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—82no—
730C22#249218yes—
731C22C2×#52511yescharacteristic
732C22C22×#12411yescharacteristic
733C22C2×#53311yescharacteristic
734C22C2×#53411yescharacteristic
735C22C2×#54211yescharacteristic
736C22C2×#54611yescharacteristic
737C22C2×D4×Q811yescharacteristic
738C22C2×#55212yes—
739C22C2×#55312yes—
740C22C2×#55312yes—
741C22C2×#55412yes—
742C22C2×#55411yescharacteristic
743C22C2×#55611yescharacteristic
744C22#348411yescharacteristic
745C22#348611yescharacteristic
746C22#349212yes—
747C22#349212yes—
748C22#350312yes—
749C22#350812yes—
750C22#351112yes—
751C22#351112yes—
752C22#354312yes—
753C22#355212yes—
754C4—24no—
755C4—28no—
756C4—28no—
757C4—44no—
758C4—44no—
759C4—44no—
760C4—42no—
761C4—84no—
762C4—81no—
763C4—82no—
764C4—81no—
765C4—82no—
766C4—84no—
767C4—82no—
768C4#259118yes—
769C2—28no—
770C2—82no—
771C2C2×#249211yescharacteristic
772C2C2×#259111yescharacteristic
773C2#3559211yescharacteristic
774C2#3616311yescharacteristic
775C2#3618912yes—
776C2#3654611yescharacteristic
777C2#3789212yes—
778C2#3946411yescharacteristic
779C2#3959311yescharacteristic
780C2#5930212yes—
781C2#5930512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#384C2semidirect
3. #15790C2semidirect
4. #15771C2semidirect
5. #15182C2semidirect
6. #15146C2semidirect
8. #14822C2semidirect
9. #14702C2semidirect
10. #14139C2semidirect
12. #14000C2semidirect
13. #13923C2semidirect
14. #13876C2semidirect
16. C22⋊C4×C4⋊C4C2semidirect
154. #386Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#24172
C22×#3842
#157902
#157712
#151822
#151462
#150912
#148222
#147022
#141392
#140192
#140002
#139232
#138762
#138722
C22⋊C4×C4⋊C42
C4×#3862