Finite Group Databasebeta

← #636026

Subgroups — #636026

Order 512.

5642 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C22⋊Q8C211yesmaximal, characteristic
2C2×#2848C211yesmaximal, characteristic
3C2×#2434C211yesmaximal, characteristic, complemented
4C2×#2621C212yesmaximal, complemented
5C2×#2280C211yesmaximal, characteristic
6#16264C214yesmaximal, complemented
7#16262C214yesmaximal, complemented
8#15236C212yesmaximal, complemented
9#15178C212yesmaximal, complemented
10#14728C214yesmaximal, complemented
11#14727C214yesmaximal
12#14258C212yesmaximal, complemented
13#14139C211yesmaximal, characteristic, complemented
14#13922C211yesmaximal, characteristic, complemented
15#13881C211yesmaximal, characteristic, complemented
16C24×Q8C2211yescharacteristic
17C25×C4C2211yescharacteristic
18C22×C4⋊Q8C2212yescomplemented
19C22×C22⋊Q8—28no—
20C22×C22⋊Q8—216no—
21C22×C22⋊Q8C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2212yes—
24C22×C22⋊Q8C2212yes—
25C22×C22⋊Q8C2212yes—
26C22×C22⋊Q8C2212yes—
27C22×C22⋊Q8C2211yescharacteristic
28C22×#117C2212yes—
29C23×C4⋊C4C2211yescharacteristic
30C23×C4⋊C4C2212yes—
31C23×C22⋊C4C2212yes—
32#2848—28no—
33#2621—216no—
34#2434—28no—
35C2×#398C2218yescomplemented
36C2×#397C2218yes—
37C2×#395C2214yescomplemented
38C2×#391C2212yescomplemented
39C2×#391C2212yescomplemented
40C2×#391C2212yescomplemented
41C2×#391C2212yescomplemented
42C2×#385C2212yes—
43C2×#385C2212yes—
44C2×#385C2212yes—
45C2×#385C2214yes—
46C2×#382C2212yescomplemented
47#2280—28no—
48C2×#381C2212yes—
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#380C2212yes—
53C2×#380C2212yes—
54C2×#379C2212yes—
55C2×#379C2212yes—
56C2×C4×C22⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2212yes—
58C2×C4×C22⋊C4C2211yescharacteristic
59#1446C2214yescomplemented
60#1444C2218yescomplemented
61#1442C2214yescomplemented
62#1442C2218yescomplemented
63#1441C2214yescomplemented
64#1441C2218yescomplemented
65#1440C2218yes—
66#1440C2218yes—
67#1439C2218yes—
68C4⋊#95C2212yescomplemented
69C4⋊#95C2212yescomplemented
70C22⋊#95C2214yes—
71C22⋊#95C2214yes—
72C22⋊#95C2214yes—
73C26C2311yescharacteristic
74C23×Q8—28no—
75C23×Q8—24no—
76C23×Q8—24no—
77C23×Q8—24no—
78C23×Q8—44no—
79C23×Q8C2311yescharacteristic
80C23×Q8C2312yes—
81C23×Q8C2312yes—
82C24×C4—28no—
83C24×C4—24no—
84C24×C4—24no—
85C24×C4—44no—
86C24×C4D418yes—
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C2×C4⋊Q8—28no—
96C2×C4⋊Q8—28no—
97C2×C4⋊Q8—44no—
98C2×C22⋊Q8—2128no—
99C2×C22⋊Q8—28no—
100C2×C22⋊Q8—28no—
101C2×C22⋊Q8—28no—
102C2×C22⋊Q8—28no—
103C2×C22⋊Q8—28no—
104C2×C22⋊Q8—28no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—24no—
107C2×C22⋊Q8—24no—
108C2×C22⋊Q8—28no—
109C2×C22⋊Q8—24no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—28no—
112C2×C22⋊Q8—216no—
113C2×C22⋊Q8—216no—
114C2×C22⋊Q8—44no—
115C2×C22⋊Q8D4116yes—
116C2×#117—28no—
117C2×#117—28no—
118C2×#117—44no—
119C22×C4⋊C4—24no—
120C22×C4⋊C4—28no—
121C22×C4⋊C4—28no—
122C22×C4⋊C4—216no—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2314yes—
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2318yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2314yes—
133C22×C4⋊C4C2312yes—
134C22×C4⋊C4C2312yes—
135C22×C22⋊C4—28no—
136C22×C22⋊C4—216no—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2314yes—
144C22×C22⋊C4C2314yes—
145C22×C22⋊C4C2314yes—
146C22×C22⋊C4C2312yes—
147C22×C22⋊C4C2312yes—
148C22×C22⋊C4C2312yes—
149C22×C42C2312yes—
150C22×C42C2312yes—
151#398—232no—
152#397—232no—
153#395—216no—
154#391—28no—
155#391—28no—
156#391—28no—
157#391—44no—
158#385—28no—
159#385—28no—
160#385—28no—
161#385—216no—
162#382—28no—
163#381—28no—
164#380—24no—
165#380—24no—
166#380—24no—
167#380—28no—
168#380—28no—
169#379—28no—
170#379—28no—
171C4×C22⋊C4—24no—
172C4×C22⋊C4—28no—
173C4×C22⋊C4D418yes—
174C2×#95C2318yes—
175C2×#95C2318yes—
176C2×#95C2318yes—
177C2×#95C2318yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2318yes—
184C2×#95C2318yes—
185C2×#95C2318yes—
186C2×#95C2312yes—
187C25—24no—
188C25—24no—
189C25—24no—
190C25—22no—
191C25—22no—
192C25—24no—
193C25—42no—
194C25—42no—
195C25C2×D414yes—
196C25C2411yescharacteristic
197C25C2411yescharacteristic
198C25C2411yescharacteristic
199C22×Q8—232no—
200C22×Q8—28no—
201C22×Q8—24no—
202C22×Q8—24no—
203C22×Q8—24no—
204C22×Q8—24no—
205C22×Q8—22no—
206C22×Q8—22no—
207C22×Q8—24no—
208C22×Q8—24no—
209C22×Q8—24no—
210C22×Q8—22no—
211C22×Q8—24no—
212C22×Q8—24no—
213C22×Q8—24no—
214C22×Q8—24no—
215C22×Q8—44no—
216C22×Q8—432no—
217C22×Q8—432no—
218C22×Q8—416no—
219C22×Q8—416no—
220C22×Q8C2×D418yes—
221C23×C4—24no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—232no—
232C23×C4—232no—
233C23×C4—28no—
234C23×C4—28no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—28no—
248C23×C4—416no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4—432no—
255C23×C4—432no—
256C23×C4C2×D414yes—
257C23×C4C2×D414yes—
258C23×C4C2×D414yes—
259C23×C4C2×D414yes—
260C23×C4C2×D418yes—
261C23×C4C2×D414yes—
262C23×C4C2×D414yes—
263C23×C4C2×D414yes—
264C23×C4#4114yes—
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2412yes—
269C23×C4C2414yes—
270C23×C4C2414yes—
271C23×C4C2414yes—
272C23×C4C2414yes—
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277C4⋊Q8—432no—
278C22⋊Q8—264no—
279C22⋊Q8—264no—
280C22⋊Q8—264no—
281C22⋊Q8—264no—
282C22⋊Q8—416no—
283C22⋊Q8—416no—
284C22⋊Q8—416no—
285#117—432no—
286C2×C4⋊C4—232no—
287C2×C4⋊C4—264no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—28no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—28no—
296C2×C4⋊C4—28no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—28no—
309C2×C4⋊C4—216no—
310C2×C4⋊C4—216no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—48no—
317C2×C4⋊C4C2×D418yes—
318C2×C4⋊C4C2×D4116yes—
319C2×C22⋊C4—264no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—28no—
344C2×C22⋊C4—28no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4C2×D4116yes—
350C2×C22⋊C4C2×D418yes—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42C2×D418yes—
357#95—28no—
358#95—24no—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—216no—
363#95—216no—
364#95—216no—
365#95—216no—
366#95—48no—
367#95—48no—
368#95—48no—
369#95C2×D418yes—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—232no—
375C24—28no—
376C24—28no—
377C24—28no—
378C24—22no—
379C24—21no—
380C24—21no—
381C24—21no—
382C24—21no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—28no—
393C24—28no—
394C24—44no—
395C24—44no—
396C24—48no—
397C24—48no—
398C24—416no—
399C24—48no—
400C24—48no—
401C24—416no—
402C24—416no—
403C24—48no—
404C24—48no—
405C24C22×D412yes—
406C24C22×D414yes—
407C24C22×D412yes—
408C24C22×D412yes—
409C24C22×D412yes—
410C24C2×#4112yes—
411C242−1+414yes—
412C242−1+414yes—
413C242−1+414yes—
414C24C2511yescharacteristic
415C2×Q8—216no—
416C2×Q8—216no—
417C2×Q8—216no—
418C2×Q8—216no—
419C2×Q8—416no—
420C2×Q8—416no—
421C2×Q8—48no—
422C2×Q8—4128no—
423C2×Q8—44no—
424C2×Q8—48no—
425C2×Q8—48no—
426C2×Q8—44no—
427C2×Q8—48no—
428C2×Q8—44no—
429C2×Q8—48no—
430C2×Q8—48no—
431C2×Q8—48no—
432C2×Q8—48no—
433C22×C4—21no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—216no—
443C22×C4—216no—
444C22×C4—216no—
445C22×C4—216no—
446C22×C4—216no—
447C22×C4—216no—
448C22×C4—28no—
449C22×C4—28no—
450C22×C4—21no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—28no—
468C22×C4—24no—
469C22×C4—28no—
470C22×C4—28no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—28no—
476C22×C4—28no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—4128no—
508C22×C4—432no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—416no—
514C22×C4—416no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4#120116yes—
522C22×C4#121116yes—
523C22×C4C22×D418yes—
524C22×C4C22×D418yes—
525C22×C4C22×D418yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D414yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D414yes—
533C22×C4C22×D412yes—
534C22×C4C2×#4112yes—
535C22×C4C2×#4112yes—
536C22×C4H(5,𝔽2)14yes—
537C4⋊C4—216no—
538C4⋊C4—232no—
539C4⋊C4—216no—
540C4⋊C4—232no—
541C4⋊C4—416no—
542C4⋊C4—432no—
543C4⋊C4—48no—
544C4⋊C4—44no—
545C4⋊C4—48no—
546C4⋊C4—44no—
547C4⋊C4—48no—
548C4⋊C4—44no—
549C22⋊C4—232no—
550C22⋊C4—232no—
551C22⋊C4—216no—
552C22⋊C4—416no—
553C22⋊C4—416no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C42—216no—
562C42—48no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—24no—
568C23—24no—
569C23—28no—
570C23—28no—
571C23—24no—
572C23—24no—
573C23—28no—
574C23—28no—
575C23—232no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—24no—
589C23—24no—
590C23—28no—
591C23—28no—
592C23—24no—
593C23—28no—
594C23—24no—
595C23—28no—
596C23—416no—
597C23—416no—
598C23—416no—
599C23—416no—
600C23—464no—
601C23—464no—
602C23—416no—
603C23—416no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—44no—
612C23—42no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23C2×#12014yes—
617C23C2×#12114yes—
618C23#53614yes—
619C23#53618yes—
620C23#53614yes—
621C23#53614yes—
622C23#54118yes—
623C23C23×D411yescharacteristic
624C23C23×D412yes—
625C23C23×D411yescharacteristic
626C23C22×#4111yescharacteristic
627C23C2×H(5,𝔽2)12yes—
628C23C2×2−1+412yes—
629C23C2×2−1+412yes—
630C23C2×2−1+412yes—
631C23#58512yes—
632Q8—432no—
633Q8—432no—
634Q8—88no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—232no—
644C2×C4—232no—
645C2×C4—28no—
646C2×C4—28no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—28no—
651C2×C4—28no—
652C2×C4—28no—
653C2×C4—28no—
654C2×C4—28no—
655C2×C4—216no—
656C2×C4—416no—
657C2×C4—416no—
658C2×C4—416no—
659C2×C4—432no—
660C2×C4—432no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—416no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—48no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—48no—
700C2×C4C2×#12014yes—
701C2×C4C2×#12014yes—
702C2×C4C2×#12114yes—
703C2×C4C2×#12114yes—
704C2×C4#53414yes—
705C2×C4D4218yes—
706C2×C4#54618yes—
707C22—216no—
708C22—216no—
709C22—24no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—24no—
719C22—24no—
720C22—24no—
721C22—464no—
722C22—48no—
723C22—48no—
724C22—48no—
725C22—48no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22#262118yescomplemented
735C22C22×#12011yescharacteristic
736C22C22×#12111yescharacteristic
737C22C2×#53411yescharacteristic
738C22C2×#53612yes—
739C22C2×#53611yescharacteristic
740C22C2×#53611yescharacteristic
741C22C2×#53611yescharacteristic
742C22#344911yescharacteristic
743C22C2×#54112yes—
744C22C2×D4212yes—
745C22C2×#54612yes—
746C22#348614yes—
747C22#348912yes—
748C22#348914yes—
749C22#349512yes—
750C22#353814yes—
751C22#354114yes—
752C4—24no—
753C4—24no—
754C4—48no—
755C4—42no—
756C4—48no—
757C4—48no—
758C4—84no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4#241018yes—
764C2—28no—
765C2—44no—
766C2—44no—
767C2C2×#262111yescharacteristic
768C2C2×#241011yescharacteristic
769C2#3524211yescharacteristic
770C2#3530511yescharacteristic
771C2#3530611yescharacteristic
772C2#3744911yescharacteristic
773C2#3745311yescharacteristic
774C2#3765114yes—
775C2#3766314yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2434C2semidirect
4. C2×#2621C2semidirect
6. #16264C2semidirect
7. #16262C2semidirect
8. #15236C2semidirect
9. #15178C2semidirect
10. #14728C2semidirect
12. #14258C2semidirect
13. #14139C2semidirect
14. #13922C2semidirect
15. #13881C2semidirect
18. C22×C4⋊Q8C22semidirect
35. C2×#398C22semidirect
37. C2×#395C22semidirect
38. C2×#391C22semidirect
39. C2×#391C22semidirect
40. C2×#391C22semidirect
41. C2×#391C22semidirect
46. C2×#382C22semidirect
59. #1446C22semidirect
60. #1444C22semidirect
61. #1442C22semidirect
62. #1442C22semidirect
63. #1441C22semidirect
64. #1441C22semidirect
68. C4⋊#95C22semidirect
69. C4⋊#95C22semidirect
734. C22#2621semidirect

Maximal subgroups

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

subgroupindex
C23×C22⋊Q82
C2×#28482
C2×#24342
C2×#26212
C2×#22802
#162642
#162622
#152362
#151782
#147282
#147272
#142582
#141392
#139222
#138812