Finite Group Databasebeta

← #6611228

Subgroups — #6611228

Order 512.

1558 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic
2#36134C211yesmaximal, characteristic
3#33294C211yesmaximal, characteristic, complemented
4#33212C211yesmaximal, characteristic, complemented
5#33209C211yesmaximal, characteristic, complemented
6#29207C211yesmaximal, characteristic, complemented
7#28807C214yesmaximal, complemented
8#28786C214yesmaximal, complemented
9#28778C214yesmaximal, complemented
10#28689C211yesmaximal, characteristic, complemented
11#27950C211yesmaximal, characteristic, complemented
12#27949C211yesmaximal, characteristic, complemented
13#25812C211yesmaximal, characteristic, complemented
14#25812C211yesmaximal, characteristic, complemented
15#22712C214yesmaximal
16#21727C211yesmaximal, characteristic, complemented
17#21322C211yesmaximal, characteristic, complemented
18#21318C211yesmaximal, characteristic, complemented
19C4×#435C211yesmaximal, characteristic
20C2×#533C2211yescharacteristic
21C2×#533C2211yescharacteristic
22C2×#500C2211yescharacteristic
23C2×#500C2211yescharacteristic
24C2×#498C2211yescharacteristic
25C2×#435C2212yes—
26C2×C4×M16C2211yescharacteristic
27C22×C4×C8C2211yescharacteristic
28#2868C2211yescharacteristic
29#2859C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2570C2212yes—
35#2552C2212yes—
36#2542—21no—
37#2538—21no—
38#2511—21no—
39#2507—21no—
40#2497—21no—
41#2487—21no—
42#2442C2212yes—
43#2441C2212yes—
44#2441C2212yes—
45#2441C2212yes—
46#2429—21no—
47#2429—21no—
48#2423—21no—
49#2423—21no—
50#2423—21no—
51#2417—21no—
52#2365—21no—
53#2360—21no—
54#2354C2212yes—
55#2352C2212yes—
56Q8×C4⋊C4—21no—
57#2345—21no—
58C4×C4⋊Q8C2211yescharacteristic
59C4×C4⋊Q8C2211yescharacteristic
60#2285C2211yescharacteristic
61C2×#384C2211yescharacteristic
62C42×D4C2211yescharacteristic
63#2085C2214yes—
64#2083C2214yes—
65#2083C2214yes—
66#2059C2214yes—
67#2059C2214yes—
68#2059C2214yes—
69#1992C2214yes—
70#1992C2214yes—
71#1991C2214yes—
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1990C2211yescharacteristic
79#1990C2211yescharacteristic
80#1990C2211yescharacteristic
81#1990C2211yescharacteristic
82#1949C2214yes—
83#1947C2214yes—
84#1944C2214yes—
85#1944C2214yes—
86#1942C2214yes—
87#1854C2214yes—
88#1854C2214yes—
89#1854C2214yes—
90#1852C2214yes—
91#1845C2211yescharacteristic
92#1845C2211yescharacteristic
93#1844C2211yescharacteristic
94#1836C2214yes—
95#1809C2214yes—
96#1808C2214yes—
97#1776C2214yes—
98#1771C2212yes—
99C4×C4⋊C8C2211yescharacteristic
100#1753C2212yes—
101#1752C2212yes—
102C4×C22⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104#1736C2214yes—
105#1735C2214yes—
106C4×#97C2211yescharacteristic
107C22×M16C2312yes—
108C23×C8C2312yes—
109#533—24no—
110#533—24no—
111#533—42no—
112#533—42no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×#125C2312yes—
120C2×#125C2312yes—
121C2×#125C2312yes—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8—21no—
129C2×C22⋊Q8—21no—
130C2×C4×Q8—21no—
131C2×C4×Q8—21no—
132C2×C4×Q8—21no—
133C2×C4×Q8—21no—
134C2×C4×Q8—21no—
135C2×C4×Q8—21no—
136C2×C4×D4D411yescharacteristic
137C2×C4×D4D411yescharacteristic
138C2×C4×D4C2311yescharacteristic
139C2×#117C2312yes—
140C2×#117C2312yes—
141C2×#117C2312yes—
142C22×C4⋊C4—21no—
143C22×C4⋊C4—21no—
144C22×C4⋊C4C2312yes—
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147#500—42no—
148#500—42no—
149#498—24no—
150#435Q8116yescomplemented
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×#106C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C4×M16—42no—
161C2×#97C2312yes—
162C2×#97C2312yes—
163C2×#97C2312yes—
164C2×C4×C8—42no—
165C2×C4×C8C2311yescharacteristic
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2312yes—
170#400—22no—
171#400—22no—
172#399—22no—
173#399—22no—
174#399—22no—
175#398—22no—
176#398—22no—
177#398—22no—
178#398—22no—
179#396—22no—
180#396—22no—
181#396—22no—
182#391—21no—
183#391—21no—
184#391—21no—
185#391—21no—
186#391—21no—
187#391—21no—
188#390—22no—
189#389—22no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—22no—
201#389—22no—
202#389—22no—
203#389C2312yes—
204#389C2312yes—
205#389C2312yes—
206#389C2312yes—
207#389C2312yes—
208#389C2312yes—
209#388—22no—
210#388—22no—
211#388—22no—
212#387—22no—
213#387—22no—
214#387—22no—
215#387—22no—
216#387—22no—
217#387—22no—
218#386—22no—
219#385—22no—
220#384—22no—
221#384—21no—
222#384—21no—
223#384—21no—
224#384—21no—
225#384C2311yescharacteristic
226#384C2311yescharacteristic
227#384C2312yes—
228#384C2312yes—
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#384C2312yes—
232#382C2312yes—
233#382C2312yes—
234#380—21no—
235#380—21no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—22no—
241#380C2312yes—
242#380C2312yes—
243#380C2312yes—
244#380C2312yes—
245C4×C4⋊C4—22no—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4D411yescharacteristic
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2311yescharacteristic
255C4×C22⋊C4—22no—
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4C2311yescharacteristic
261C4×C22⋊C4C2311yescharacteristic
262C43C2311yescharacteristic
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—21no—
278C22×Q8—21no—
279C22×Q8—21no—
280C22×D4C2×D411yescharacteristic
281C23×C4—22no—
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2411yescharacteristic
287C23×C4C2411yescharacteristic
288C2×M16—42no—
289C2×M16—42no—
290C2×M16C2×Q818yes—
291C22×C8—42no—
292C22×C8—42no—
293C22×C8C2×Q818yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C22×C8C2412yes—
298C4⋊Q8—22no—
299C4⋊Q8—22no—
300C4⋊Q8—22no—
301C4⋊Q8—22no—
302C4⋊Q8—22no—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8—44no—
306C4⋊Q8—82no—
307C4⋊Q8#4114yes—
308#125—24no—
309#125—24no—
310#125—42no—
311#125—42no—
312#125—44no—
313C22⋊Q8—44no—
314C22⋊Q8—44no—
315C22⋊Q8—44no—
316C22⋊Q8—44no—
317C22⋊Q8—44no—
318C22⋊Q8—82no—
319C22⋊Q8—82no—
320C22⋊Q8—82no—
321C4×Q8—44no—
322C4×Q8—44no—
323C4×Q8—44no—
324C4×Q8—44no—
325C4×Q8—44no—
326C4×Q8—82no—
327C4×D4—42no—
328C4×D4—42no—
329C4×D4C2×Q818yes—
330#117—24no—
331#117—24no—
332#117—42no—
333#117—42no—
334#117—44no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—44no—
367C2×C4⋊C4—44no—
368C2×C4⋊C4—82no—
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4C2×D411yescharacteristic
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415#107—44no—
416#107—44no—
417#107—44no—
418#107—44no—
419#106—28no—
420#106—44no—
421C4⋊C8C2×Q818yes—
422C22⋊C8C2×Q818yes—
423C22⋊C8C2×Q818yes—
424#97—42no—
425#97—42no—
426#97C2×Q818yes—
427C4×C8—22no—
428C4×C8—22no—
429C4×C8—22no—
430C4×C8—22no—
431C4×C8—42no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95C2×D411yescharacteristic
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454C24C22×D411yescharacteristic
455C24C22×D411yescharacteristic
456C2×Q8—24no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×D4—41no—
469C2×D4—41no—
470C2×D4C4⋊Q814yes—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—44no—
498C22×C4—82no—
499C22×C4—82no—
500C22×C4C22×D411yescharacteristic
501C22×C4C22×D411yescharacteristic
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×Q814yes—
513C22×C4C22×Q814yes—
514C22×C4C2511yescharacteristic
515M16—48no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—48no—
525C2×C8C22×Q814yes—
526C2×C8C22×Q814yes—
527C2×C8C22×Q814yes—
528C2×C8C22×Q814yes—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—41no—
542C4⋊C4—41no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—82no—
564C4⋊C4—82no—
565C4⋊C4—82no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4C4⋊Q814yes—
574C4⋊C4C2×#4114yes—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4C4⋊Q814yes—
587C22⋊C4C4⋊Q814yes—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—22no—
601C42—44no—
602C42—44no—
603C42—44no—
604C42—82no—
605C42—82no—
606C42C22×Q814yes—
607C42C2×#4112yes—
608C42H(5,𝔽2)12yes—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23C2×C4⋊Q812yes—
622C23C2×C4⋊Q812yes—
623C23C23×D411yescharacteristic
624Q8—48no—
625Q8—84no—
626Q8—84no—
627Q8—84no—
628D4—44no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—24no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—164no—
688C2×C4C2×C4⋊Q812yes—
689C2×C4C2×C4⋊Q812yes—
690C2×C4C2×C4⋊Q812yes—
691C2×C4C2×C4⋊Q812yes—
692C2×C4#54612yes—
693C2×C4#54612yes—
694C2×C4#57512yes—
695C2×C4#57512yes—
696C2×C4#57612yes—
697C2×C4#57812yes—
698C2×C4C23×Q812yes—
699C2×C4C22×#4111yescharacteristic
700C2×C4C2×H(5,𝔽2)11yescharacteristic
701C2×C4#58512yes—
702C8—24no—
703C8—24no—
704C8—24no—
705C8—24no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22C22×C4⋊Q811yescharacteristic
721C22C2×#54611yescharacteristic
722C22#350011yescharacteristic
723C22C2×#57511yescharacteristic
724C22C2×#57511yescharacteristic
725C22C2×#57611yescharacteristic
726C22C2×#57811yescharacteristic
727C4—22no—
728C4—22no—
729C4—22no—
730C4—22no—
731C4—41no—
732C4—41no—
733C4—41no—
734C4—41no—
735C4—44no—
736C4—41no—
737C4—41no—
738C4—82no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4—82no—
745C4#330914yes—
746C4#331514yes—
747C4Q8×#4112yes—
748C4#350112yes—
749C2—42no—
750C2—42no—
751C2#3627611yescharacteristic
752C2#6066311yescharacteristic
753C2#6066711yescharacteristic
754C2C2×#331511yescharacteristic
755C2C2×#330911yescharacteristic
756C2#6254511yescharacteristic
757C2#6254611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×D4C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #33294C2semidirect
4. #33212C2semidirect
5. #33209C2semidirect
6. #29207C2semidirect
7. #28807C2semidirect
8. #28786C2semidirect
9. #28778C2semidirect
10. #28689C2semidirect
11. #27950C2semidirect
12. #27949C2semidirect
13. #25812C2semidirect
14. #25812C2semidirect
16. #21727C2semidirect
17. #21322C2semidirect
18. #21318C2semidirect
150. #435Q8semidirect

Maximal subgroups

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

subgroupindex
#361892
#361342
#332942
#332122
#332092
#292072
#288072
#287862
#287782
#286892
#279502
#279492
#258122
#227122
#217272
#213222
#213182
C4×#4352