Finite Group Databasebeta

← #759496

Subgroups — #759496

Order 512.

4226 conjugacy classes of subgroups.

The subgroup lattice has 819 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2484C211yesmaximal, characteristic, complemented
2C22×#385C211yesmaximal, characteristic
3C2×#2280C211yesmaximal, characteristic
4C22×#381C211yesmaximal, characteristic
5#16394C212yesmaximal, complemented
6#16393C212yesmaximal, complemented
7#15073C212yesmaximal, complemented
8#14965C214yesmaximal, complemented
9#14919C212yesmaximal, complemented
10#14826C212yesmaximal, complemented
11#14766C212yesmaximal, complemented
12#14128C211yesmaximal, characteristic, complemented
13#14047C214yesmaximal, complemented
14#13958C211yesmaximal, characteristic, complemented
15#13877C212yesmaximal
16#13870C211yesmaximal, characteristic, complemented
17#13869C212yesmaximal
18C25×C4C2211yescharacteristic
19C22×#117C2211yescharacteristic
20C22×#117C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2212yes—
26#2484—28no—
27C2×#400C2212yescomplemented
28C2×#398C2212yescomplemented
29C2×#387C2214yescomplemented
30C2×#385—28no—
31C2×#385C2212yes—
32C2×#385C2212yes—
33C2×#385C2212yes—
34C2×#385C2212yes—
35C2×#385C2212yes—
36C2×#385C2212yes—
37#2280—28no—
38C2×#381—28no—
39C2×#381C2212yes—
40C2×#381C2212yes—
41C2×#381C2211yescharacteristic
42C2×#381C2212yes—
43C2×#381C2212yes—
44C2×#381C2212yes—
45C2×#381C2212yes—
46C2×#381C2211yescharacteristic
47C2×#380C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×#380C2214yes—
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#379C2212yes—
53C2×C4×C22⋊C4C2212yes—
54C2×C4×C22⋊C4C2212yes—
55C22×#95C2211yescharacteristic
56C22×#95C2211yescharacteristic
57C22×#95C2212yes—
58C22×#95C2212yes—
59#1445C2214yescomplemented
60#1445C2212yescomplemented
61#1445C2212yescomplemented
62#1444C2212yescomplemented
63#1443C2214yescomplemented
64#1443C2214yescomplemented
65#1442C2212yescomplemented
66#1442C2214yescomplemented
67#1442C2214yescomplemented
68#1442C2214yescomplemented
69#1441C2212yescomplemented
70#1441C2212yescomplemented
71#1441C2214yescomplemented
72#1441C2214yescomplemented
73#1440C2214yes—
74#1440C2214yes—
75#1439C2214yes—
76#1439C2214yes—
77#1436C2214yescomplemented
78#1436C2214yescomplemented
79#1434C2214yescomplemented
80C22⋊#95C2212yes—
81C22⋊#95C2212yes—
82C22⋊#95C2214yes—
83C22⋊#95C2214yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2214yes—
87C26C2311yescharacteristic
88C24×C4—28no—
89C24×C4—24no—
90C24×C4—24no—
91C24×C4—44no—
92C24×C4D418yes—
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2314yes—
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C24×C4C2311yescharacteristic
101C24×C4C2311yescharacteristic
102C24×C4C2311yescharacteristic
103C24×C4C2311yescharacteristic
104C2×#117—24no—
105C2×#117—24no—
106C2×#117—24no—
107C2×#117—24no—
108C2×#117—44no—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—24no—
112C22×C4⋊C4—24no—
113C22×C4⋊C4—44no—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2314yes—
124C22×C22⋊C4—24no—
125C22×C22⋊C4—28no—
126C22×C22⋊C4—24no—
127C22×C22⋊C4—28no—
128C22×C22⋊C4—28no—
129C22×C22⋊C4—28no—
130C22×C22⋊C4—44no—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C42C2312yes—
145C22×C42C2312yes—
146#400—28no—
147#398—28no—
148#387—216no—
149#385—28no—
150#385—28no—
151#385—28no—
152#385—28no—
153#385—28no—
154#385—44no—
155#381—24no—
156#381—28no—
157#381—28no—
158#381—28no—
159#381—28no—
160#381—28no—
161#381—44no—
162#381D418yes—
163#380—24no—
164#380—24no—
165#380—24no—
166#380—24no—
167#380—216no—
168#379—28no—
169C4×C22⋊C4—28no—
170C4×C22⋊C4—28no—
171C2×#95—24no—
172C2×#95—24no—
173C2×#95—28no—
174C2×#95—28no—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2312yes—
202C2×#95C2312yes—
203C25—22no—
204C25—24no—
205C25—22no—
206C25—24no—
207C25—24no—
208C25—42no—
209C25—42no—
210C25C2×D414yes—
211C25#4118yes—
212C25C2411yescharacteristic
213C25C2411yescharacteristic
214C25C2411yescharacteristic
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—232no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—232no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—24no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—28no—
249C23×C4—28no—
250C23×C4—28no—
251C23×C4—24no—
252C23×C4—28no—
253C23×C4—416no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4—42no—
264C23×C4—42no—
265C23×C4—432no—
266C23×C4—432no—
267C23×C4C2×D414yes—
268C23×C4C2×D414yes—
269C23×C4C2×D414yes—
270C23×C4C2×D414yes—
271C23×C4C2×D414yes—
272C23×C4C2×D414yes—
273C23×C4C2×D414yes—
274C23×C4#4114yes—
275C23×C4C2412yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2412yes—
279C23×C4C2412yes—
280C23×C4C2414yes—
281C23×C4C2412yes—
282C23×C4C2414yes—
283C23×C4C2411yescharacteristic
284C23×C4C2411yescharacteristic
285C23×C4C2412yes—
286C23×C4C2412yes—
287C23×C4C2411yescharacteristic
288C23×C4C2411yescharacteristic
289#117—416no—
290#117—416no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—28no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—28no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—42no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—416no—
316C2×C4⋊C4—416no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C22⋊C4—232no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—432no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—416no—
353C2×C22⋊C4C2×D418yes—
354C2×C22⋊C4#4118yes—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—24no—
359C2×C42—42no—
360C2×C42—42no—
361#95—28no—
362#95—28no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—28no—
374#95—28no—
375#95—28no—
376#95—28no—
377#95—28no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—44no—
382#95—44no—
383#95—44no—
384#95—44no—
385#95—44no—
386#95—44no—
387#95C2×D418yes—
388#95C2×D418yes—
389C24—21no—
390C24—21no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—28no—
399C24—28no—
400C24—28no—
401C24—28no—
402C24—216no—
403C24—216no—
404C24—232no—
405C24—21no—
406C24—22no—
407C24—21no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—44no—
413C24—44no—
414C24—416no—
415C24—48no—
416C24—48no—
417C24—48no—
418C24—48no—
419C24—416no—
420C24—416no—
421C24#123116yes—
422C24C22×D412yes—
423C24C22×D412yes—
424C24C22×D412yes—
425C24C22×D412yes—
426C24C2×#4114yes—
427C24C2×#4112yes—
428C24C2×#4114yes—
429C24C2×#4114yes—
430C24C2×#4114yes—
431C24H(5,𝔽2)14yes—
432C242−1+414yes—
433C24C2511yescharacteristic
434C22×C4—28no—
435C22×C4—28no—
436C22×C4—216no—
437C22×C4—216no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—28no—
443C22×C4—28no—
444C22×C4—28no—
445C22×C4—28no—
446C22×C4—28no—
447C22×C4—28no—
448C22×C4—28no—
449C22×C4—28no—
450C22×C4—28no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—28no—
476C22×C4—28no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—416no—
523C22×C4—4128no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—416no—
533C22×C4—416no—
534C22×C4—416no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—48no—
540C22×C4—48no—
541C22×C4—44no—
542C22×C4—44no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—44no—
546C22×C4—44no—
547C22×C4—48no—
548C22×C4—48no—
549C22×C4—416no—
550C22×C4—88no—
551C22×C4—88no—
552C22×C4—88no—
553C22×C4—88no—
554C22×C4#121116yes—
555C22×C4C22×D412yes—
556C22×C4C22×D412yes—
557C22×C4C22×D418yes—
558C22×C4C22×D412yes—
559C22×C4C22×D412yes—
560C22×C4C22×D412yes—
561C22×C4C22×D412yes—
562C22×C4C2×#4114yes—
563C22×C4C2×#4114yes—
564C22×C4C2×#4112yes—
565C22×C4C2×#4112yes—
566C4⋊C4—416no—
567C4⋊C4—48no—
568C4⋊C4—48no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—48no—
572C4⋊C4—48no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—88no—
576C22⋊C4—216no—
577C22⋊C4—216no—
578C22⋊C4—216no—
579C22⋊C4—416no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—48no—
589C42—48no—
590C42—48no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—28no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—28no—
609C23—28no—
610C23—24no—
611C23—24no—
612C23—28no—
613C23—28no—
614C23—28no—
615C23—28no—
616C23—22no—
617C23—22no—
618C23—232no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—24no—
624C23—24no—
625C23—28no—
626C23—28no—
627C23—232no—
628C23—416no—
629C23—464no—
630C23—416no—
631C23—464no—
632C23—416no—
633C23—416no—
634C23—416no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—44no—
640C23—44no—
641C23C2×#12114yes—
642C23C2×#12314yes—
643C23C2×#12314yes—
644C23C2×#12314yes—
645C23#52514yes—
646C23#53414yes—
647C23#53614yes—
648C23#54618yes—
649C23#55118yes—
650C23#552116yes—
651C23C23×D411yescharacteristic
652C23C23×D411yescharacteristic
653C23C22×#4111yescharacteristic
654C23C22×#4112yes—
655C23C22×#4112yes—
656C23C2×H(5,𝔽2)12yes—
657C23C2×2−1+412yes—
658C23#58512yes—
659C23#58512yes—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—232no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—28no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—24no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—416no—
684C2×C4—416no—
685C2×C4—416no—
686C2×C4—416no—
687C2×C4—416no—
688C2×C4—416no—
689C2×C4—42no—
690C2×C4—416no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—42no—
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—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
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—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—832no—
743C2×C4—88no—
744C2×C4—88no—
745C2×C4C2×#12114yes—
746C2×C4C2×#12114yes—
747C22—24no—
748C22—24no—
749C22—216no—
750C22—216no—
751C22—24no—
752C22—24no—
753C22—24no—
754C22—216no—
755C22—216no—
756C22—24no—
757C22—24no—
758C22—24no—
759C22—24no—
760C22—24no—
761C22—24no—
762C22—24no—
763C22—24no—
764C22—24no—
765C22—24no—
766C22—464no—
767C22—48no—
768C22—42no—
769C22—48no—
770C22—42no—
771C22—42no—
772C22—42no—
773C22#241218yes—
774C22#248418yescomplemented
775C22C22×#12111yescharacteristic
776C22C22×#12311yescharacteristic
777C22C2×#52511yescharacteristic
778C22C2×#53411yescharacteristic
779C22C2×#53611yescharacteristic
780C22#344911yescharacteristic
781C22#344911yescharacteristic
782C22C2×#54612yes—
783C22D4×#4112yes—
784C22C2×#55112yes—
785C22C2×#55214yes—
786C22#347512yes—
787C22#348912yes—
788C22#349114yes—
789C22#349512yes—
790C22#351314yes—
791C22#353514yes—
792C4—24no—
793C4—24no—
794C4—42no—
795C4—42no—
796C4—48no—
797C4—44no—
798C4—44no—
799C4—82no—
800C4—82no—
801C4—82no—
802C4—84no—
803C4—82no—
804C4—82no—
805C4—82no—
806C2—28no—
807C2—28no—
808C2—44no—
809C2C2×#241211yescharacteristic
810C2#3473711yescharacteristic
811C2C2×#248411yescharacteristic
812C2#3506311yescharacteristic
813C2#3509711yescharacteristic
814C2#3530611yescharacteristic
815C2#3744711yescharacteristic
816C2#5901214yes—
817C2#5919614yes—
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
1. C2×#2484C2semidirect
5. #16394C2semidirect
6. #16393C2semidirect
7. #15073C2semidirect
8. #14965C2semidirect
9. #14919C2semidirect
10. #14826C2semidirect
11. #14766C2semidirect
12. #14128C2semidirect
13. #14047C2semidirect
14. #13958C2semidirect
16. #13870C2semidirect
27. C2×#400C22semidirect
28. C2×#398C22semidirect
29. C2×#387C22semidirect
59. #1445C22semidirect
60. #1445C22semidirect
61. #1445C22semidirect
62. #1444C22semidirect
63. #1443C22semidirect
64. #1443C22semidirect
65. #1442C22semidirect
66. #1442C22semidirect
67. #1442C22semidirect
68. #1442C22semidirect
69. #1441C22semidirect
70. #1441C22semidirect
71. #1441C22semidirect
72. #1441C22semidirect
77. #1436C22semidirect
78. #1436C22semidirect
79. #1434C22semidirect
774. C22#2484semidirect

Maximal subgroups

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

subgroupindex
C2×#24842
C22×#3852
C2×#22802
C22×#3812
#163942
#163932
#150732
#149652
#149192
#148262
#147662
#141282
#140472
#139582
#138772
#138702
#138692