Finite Group Databasebeta

← #763550

Subgroups — #763550

Order 512.

4310 conjugacy classes of subgroups.

The subgroup lattice has 817 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2484C211yesmaximal, characteristic, complemented
2C22×#394C211yesmaximal, characteristic
3C2×#2309C211yesmaximal, characteristic
4C2×#2308C211yesmaximal, characteristic
5#15803C214yesmaximal, complemented
6#15764C214yesmaximal, complemented
7#15495C214yesmaximal, complemented
8#15479C214yesmaximal, complemented
9#14918C212yesmaximal, complemented
10#14727C212yesmaximal, complemented
11#14128C211yesmaximal, characteristic, complemented
12#13958C211yesmaximal, characteristic, complemented
13#13877C212yesmaximal, complemented
14#13870C211yesmaximal, characteristic, complemented
15#13869C212yesmaximal, complemented
16C24×D4C2211yescharacteristic
17C22×#117C2211yescharacteristic
18C22×#117C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2212yes—
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25#2484—28no—
26C2×#400C2212yescomplemented
27C2×#398C2212yescomplemented
28C2×#397C2214yescomplemented
29C2×#394—28no—
30C2×#394C2214yes—
31C2×#394C2214yes—
32#2309—28no—
33#2308—28no—
34C2×#390C2212yes—
35C2×#390C2212yes—
36C2×#390C2212yes—
37C2×#390C2212yes—
38C2×#387C2214yescomplemented
39C2×#386C2214yes—
40C2×#386C2214yes—
41C2×#385C2212yes—
42C2×#385C2212yes—
43C2×#381C2212yes—
44C2×#381C2211yescharacteristic
45C2×#381C2212yes—
46C2×#381C2211yescharacteristic
47C2×#380C2214yescomplemented
48C2×#379C2212yes—
49C2×#379C2212yes—
50C2×#379C2212yes—
51C22×#95C2211yescharacteristic
52#1445C2212yescomplemented
53#1445C2212yescomplemented
54#1444C2212yescomplemented
55#1442C2212yescomplemented
56#1441C2212yescomplemented
57#1441C2212yescomplemented
58#1440C2214yescomplemented
59#1440C2214yescomplemented
60#1440C2214yescomplemented
61#1440C2214yescomplemented
62#1440C2214yescomplemented
63#1440C2214yescomplemented
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1436C2214yescomplemented
70#1436C2214yescomplemented
71#1434C2214yescomplemented
72C22⋊#95C2212yes—
73C22⋊#95C2212yes—
74C22⋊#95C2212yes—
75C22⋊#95C2212yes—
76C22⋊#95C2214yescomplemented
77C22⋊#95C2214yescomplemented
78C22⋊#95C2214yescomplemented
79C26C2311yescharacteristic
80C26C2311yescharacteristic
81C23×D4—28no—
82C23×D4—24no—
83C23×D4—24no—
84C23×D4—44no—
85C23×D4D418yes—
86C23×D4C2312yes—
87C23×D4C2312yes—
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2314yes—
94C2×#117—24no—
95C2×#117—24no—
96C2×#117—24no—
97C2×#117—24no—
98C2×#117—44no—
99C22×C4⋊C4—24no—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2311yescharacteristic
105C22×C4⋊C4C2311yescharacteristic
106C22×C4⋊C4C2314yes—
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2314yes—
110C22×C22⋊C4—24no—
111C22×C22⋊C4—24no—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—28no—
115C22×C22⋊C4—28no—
116C22×C22⋊C4—28no—
117C22×C22⋊C4—44no—
118C22×C22⋊C4—44no—
119C22×C22⋊C4—44no—
120C22×C22⋊C4—44no—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C42C2312yes—
141C22×C42C2312yes—
142#400—28no—
143#398—28no—
144#397—48no—
145#394—216no—
146#394—216no—
147#390—28no—
148#390—28no—
149#390—28no—
150#390—28no—
151#387—216no—
152#386—216no—
153#386—216no—
154#385—28no—
155#385—44no—
156#381—24no—
157#381—28no—
158#381—44no—
159#381D418yes—
160#380—48no—
161#379—28no—
162#379—28no—
163#379—28no—
164C2×#95—24no—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C25—22no—
186C25—22no—
187C25—24no—
188C25—24no—
189C25—22no—
190C25—22no—
191C25—24no—
192C25—42no—
193C25—42no—
194C25—42no—
195C25—42no—
196C25—42no—
197C25—42no—
198C25—42no—
199C25—42no—
200C25C2×D414yes—
201C25C2×D414yes—
202C25#4118yes—
203C25C2412yes—
204C25C2412yes—
205C25C2411yescharacteristic
206C22×D4—232no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—232no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—416no—
217C22×D4—42no—
218C22×D4—42no—
219C22×D4—42no—
220C22×D4—42no—
221C22×D4—432no—
222C22×D4—432no—
223C22×D4C2×D418yes—
224C22×D4C2×D418yes—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—24no—
238C23×C4—28no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—28no—
242C23×C4—42no—
243C23×C4—44no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—44no—
247C23×C4—42no—
248C23×C4—42no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4—44no—
252C23×C4C2×D414yes—
253C23×C4C2×D414yes—
254C23×C4#4114yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2412yes—
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2414yes—
263C23×C4C2414yes—
264C23×C4C2412yes—
265C23×C4C2411yescharacteristic
266C23×C4C2411yescharacteristic
267#117—416no—
268#117—416no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4—42no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—416no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—432no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—416no—
330C2×C22⋊C4—416no—
331C2×C22⋊C4—416no—
332C2×C22⋊C4—416no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4C2×D418yes—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—24no—
350C2×C42—42no—
351C2×C42—42no—
352#95—24no—
353#95—24no—
354#95—24no—
355#95—24no—
356#95—28no—
357#95—28no—
358#95—28no—
359#95—28no—
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#95—44no—
370#95C2×D418yes—
371#95C2×D418yes—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—24no—
379C24—22no—
380C24—22no—
381C24—24no—
382C24—24no—
383C24—24no—
384C24—28no—
385C24—28no—
386C24—216no—
387C24—216no—
388C24—28no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—22no—
395C24—22no—
396C24—24no—
397C24—24no—
398C24—24no—
399C24—28no—
400C24—28no—
401C24—44no—
402C24—44no—
403C24—44no—
404C24—44no—
405C24—44no—
406C24—44no—
407C24—44no—
408C24—44no—
409C24—416no—
410C24—416no—
411C24—416no—
412C24—416no—
413C24—48no—
414C24—48no—
415C24—84no—
416C24—84no—
417C24—88no—
418C24—84no—
419C24—84no—
420C24—84no—
421C24—84no—
422C24—88no—
423C24—84no—
424C24—84no—
425C24—88no—
426C24—88no—
427C24#123116yes—
428C24C22×D414yes—
429C24C22×D414yes—
430C24C22×D412yes—
431C24C22×D412yes—
432C24C2×#4114yes—
433C24C2×#4114yes—
434C24C2×#4112yes—
435C24C2×#4114yes—
436C24H(5,𝔽2)14yes—
437C24C2511yescharacteristic
438C2×D4—216no—
439C2×D4—216no—
440C2×D4—216no—
441C2×D4—216no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—4128no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—48no—
453C22×C4—28no—
454C22×C4—28no—
455C22×C4—216no—
456C22×C4—216no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—28no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—22no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—416no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—416no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—48no—
532C22×C4—48no—
533C22×C4—88no—
534C22×C4—88no—
535C22×C4—88no—
536C22×C4—88no—
537C22×C4—88no—
538C22×C4—88no—
539C22×C4—88no—
540C22×C4#121116yes—
541C22×C4C22×D418yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C22×D412yes—
546C22×C4C2×#4112yes—
547C22×C4C2×#4112yes—
548C22×C4H(5,𝔽2)14yes—
549C4⋊C4—416no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—88no—
557C22⋊C4—216no—
558C22⋊C4—416no—
559C22⋊C4—416no—
560C22⋊C4—416no—
561C22⋊C4—416no—
562C22⋊C4—48no—
563C22⋊C4—416no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C22⋊C4—84no—
569C22⋊C4—84no—
570C22⋊C4—84no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C22⋊C4—84no—
576C42—48no—
577C42—48no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—28no—
584C23—24no—
585C23—24no—
586C23—28no—
587C23—24no—
588C23—28no—
589C23—28no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—28no—
601C23—28no—
602C23—28no—
603C23—28no—
604C23—232no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—24no—
611C23—24no—
612C23—416no—
613C23—416no—
614C23—416no—
615C23—416no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—416no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—88no—
642C23—88no—
643C23—88no—
644C23—88no—
645C23—88no—
646C23—88no—
647C23—832no—
648C23—832no—
649C23—88no—
650C23—88no—
651C23—832no—
652C23—832no—
653C23C2×#12114yes—
654C23C2×#12318yes—
655C23C2×#12314yes—
656C23#53414yes—
657C23#54618yes—
658C23#55118yes—
659C23C23×D411yescharacteristic
660C23C23×D411yescharacteristic
661C23C22×#4111yescharacteristic
662C23C22×#4112yes—
663C23C2×H(5,𝔽2)12yes—
664C23C2×H(5,𝔽2)12yes—
665C23#58512yes—
666C23#58512yes—
667C23#58512yes—
668D4—432no—
669D4—432no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—232no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—24no—
681C2×C4—28no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—28no—
685C2×C4—416no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—832no—
737C2×C4—88no—
738C2×C4—88no—
739C2×C4—88no—
740C2×C4C2×#12114yes—
741C2×C4C2×#12114yes—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—24no—
746C22—24no—
747C22—216no—
748C22—216no—
749C22—24no—
750C22—28no—
751C22—28no—
752C22—28no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—48no—
757C22—48no—
758C22—48no—
759C22—48no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22—44no—
766C22—44no—
767C22—44no—
768C22—832no—
769C22—832no—
770C22—84no—
771C22—84no—
772C22—84no—
773C22—84no—
774C22#241218yes—
775C22C22×#12111yescharacteristic
776C22C22×#12311yescharacteristic
777C22C2×#53411yescharacteristic
778C22C2×#54612yes—
779C22C2×#55112yes—
780C22#348411yescharacteristic
781C22#348511yescharacteristic
782C22#348511yescharacteristic
783C22#348511yescharacteristic
784C22#348812yes—
785C22#349114yes—
786C22#349412yes—
787C22#350012yes—
788C22#350514yes—
789C22#351012yes—
790C22#353314yes—
791C22#354214yes—
792C4—24no—
793C4—24no—
794C4—48no—
795C4—44no—
796C4—82no—
797C4—82no—
798C4—82no—
799C4—82no—
800C4—82no—
801C4—82no—
802C4—84no—
803C4—82no—
804C2—28no—
805C2—48no—
806C2—84no—
807C2C2×#241211yescharacteristic
808C2#3535111yescharacteristic
809C2#3544811yescharacteristic
810C2#3551411yescharacteristic
811C2#3561711yescharacteristic
812C2#3670411yescharacteristic
813C2#3695511yescharacteristic
814C2#4393014yes—
815C2#4393314yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2484C2semidirect
5. #15803C2semidirect
6. #15764C2semidirect
7. #15495C2semidirect
8. #15479C2semidirect
9. #14918C2semidirect
10. #14727C2semidirect
11. #14128C2semidirect
12. #13958C2semidirect
13. #13877C2semidirect
14. #13870C2semidirect
15. #13869C2semidirect
26. C2×#400C22semidirect
27. C2×#398C22semidirect
28. C2×#397C22semidirect
38. C2×#387C22semidirect
47. C2×#380C22semidirect
52. #1445C22semidirect
53. #1445C22semidirect
54. #1444C22semidirect
55. #1442C22semidirect
56. #1441C22semidirect
57. #1441C22semidirect
58. #1440C22semidirect
59. #1440C22semidirect
60. #1440C22semidirect
61. #1440C22semidirect
62. #1440C22semidirect
63. #1440C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
69. #1436C22semidirect
70. #1436C22semidirect
71. #1434C22semidirect
76. C22⋊#95C22semidirect
77. C22⋊#95C22semidirect
78. C22⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24842
C22×#3942
C2×#23092
C2×#23082
#158032
#157642
#154952
#154792
#149182
#147272
#141282
#139582
#138772
#138702
#138692