Finite Group Databasebeta

← #6496024

Subgroups — #6496024

Order 512.

3174 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#533C211yesmaximal, characteristic
2C2×#3237C212yesmaximal, complemented
3#36625C211yesmaximal, characteristic
4#32957C212yesmaximal, complemented
5#32954C212yesmaximal, complemented
6#29691C212yesmaximal, complemented
7#29688C212yesmaximal, complemented
8#25861C212yesmaximal, complemented
9#25816C212yesmaximal, complemented
10#25677C214yesmaximal, complemented
11#24065C214yesmaximal, complemented
12#24010C214yesmaximal
13#21870C212yesmaximal, complemented
14#20715C211yesmaximal, characteristic
15C2×#533—21no—
16C2×#533—21no—
17C2×#533—21no—
18C2×#533—21no—
19C2×#533—216no—
20C2×#533C2212yes—
21C2×#533C2212yes—
22C2×#533C2212yes—
23C2×#533C2212yes—
24C2×#533C2211yescharacteristic
25C22×C4⋊Q8C2211yescharacteristic
26C22×C4⋊Q8C2211yescharacteristic
27C22×#125—21no—
28C22×C22⋊Q8—21no—
29C22×C22⋊Q8C2212yes—
30C22×C4×Q8—21no—
31C22×C4×Q8C2212yes—
32C22×#117—21no—
33C23×C42C2211yescharacteristic
34#3237—216no—
35C2×#501C2214yescomplemented
36C2×#491C2214yescomplemented
37C2×#485C2218yes—
38C2×#477C2214yescomplemented
39C2×#475C2214yescomplemented
40C2×#432C2212yes—
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855—21no—
46#2855—21no—
47#2851C2212yes—
48#2851C2212yes—
49#2848—21no—
50#2848—21no—
51C4×C22⋊Q8—21no—
52C4×C22⋊Q8—21no—
53C4×C22⋊Q8—21no—
54C4×C22⋊Q8—21no—
55#2296C2212yes—
56#2285C2211yescharacteristic
57#2280C2212yes—
58#2058C2214yescomplemented
59#2057C2214yescomplemented
60#2043C2214yescomplemented
61#2043C2214yescomplemented
62#2036C2218yes—
63#2035C2218yes—
64#1993C2214yescomplemented
65#1960C2214yescomplemented
66#1873C2218yes—
67#1865C2218yescomplemented
68#1863C2218yescomplemented
69#1853C2214yes—
70#1852C2214yes—
71#1817C2212yes—
72#1803C2214yescomplemented
73#1803C2214yescomplemented
74#1797C2212yes—
75#1797C2212yes—
76#1787C2214yes—
77#1787C2214yes—
78#1779C2212yes—
79#1749C2212yes—
80#1749C2212yes—
81C23×Q8—21no—
82C23×Q8C2312yes—
83C24×C4D411yescharacteristic
84C24×C4D411yescharacteristic
85C24×C4C2311yescharacteristic
86#533—216no—
87#533—216no—
88#533—216no—
89#533—216no—
90#533—28no—
91#533—28no—
92#533—216no—
93#533—216no—
94#533—28no—
95#533—28no—
96#533D4116yes—
97C2×C4⋊Q8—28no—
98C2×C4⋊Q8—28no—
99C2×C4⋊Q8—21no—
100C2×C4⋊Q8—21no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8C2312yes—
104C2×C4⋊Q8C2312yes—
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2311yescharacteristic
107C2×C4⋊Q8C2312yes—
108C2×C4⋊Q8C2312yes—
109C2×#125—216no—
110C2×#125—22no—
111C2×#125—22no—
112C2×#125—22no—
113C2×#125—22no—
114C2×#125C2312yes—
115C2×C22⋊Q8—216no—
116C2×C22⋊Q8—22no—
117C2×C22⋊Q8—22no—
118C2×C22⋊Q8—22no—
119C2×C22⋊Q8—22no—
120C2×C22⋊Q8—22no—
121C2×C22⋊Q8—22no—
122C2×C22⋊Q8—216no—
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⋊Q8C2314yes—
130C2×C22⋊Q8C2314yes—
131C2×C4×Q8—216no—
132C2×C4×Q8—216no—
133C2×C4×Q8—22no—
134C2×C4×Q8—22no—
135C2×C4×Q8—22no—
136C2×C4×Q8—22no—
137C2×C4×Q8—22no—
138C2×C4×Q8—22no—
139C2×C4×Q8—21no—
140C2×C4×Q8—21no—
141C2×C4×Q8C2314yes—
142C2×C4×Q8C2314yes—
143C2×#117—216no—
144C2×#117—22no—
145C2×#117—22no—
146C2×#117—22no—
147C2×#117—22no—
148C2×#117C2312yes—
149C2×#117C2312yes—
150C22×C4⋊C4—21no—
151C22×C4⋊C4—21no—
152C22×C4⋊C4—21no—
153C22×C4⋊C4—22no—
154C22×C4⋊C4—22no—
155C22×C4⋊C4C2312yes—
156C22×C22⋊C4—22no—
157C22×C42—22no—
158C22×C42—28no—
159C22×C42D411yescharacteristic
160C22×C42D411yescharacteristic
161C22×C42D411yescharacteristic
162C22×C42D411yescharacteristic
163C22×C42D411yescharacteristic
164C22×C42D411yescharacteristic
165C22×C42C2311yescharacteristic
166C22×C42C2311yescharacteristic
167C22×C42C2311yescharacteristic
168C22×C42C2311yescharacteristic
169C22×C42C2311yescharacteristic
170C22×C42C2311yescharacteristic
171#501—216no—
172#491—216no—
173#485—232no—
174#477—216no—
175#475—216no—
176#432—28no—
177C2×#107C2318yes—
178C2×#106C2318yes—
179C2×C4⋊C8C2314yes—
180C2×#103C2318yes—
181C2×#103C2318yes—
182C2×#103C2318yes—
183C2×#103C2318yes—
184C2×C22⋊C8C2314yes—
185C2×C22⋊C8C2314yes—
186C2×C22⋊C8C2314yes—
187C2×#97C2314yes—
188#391—21no—
189#391—21no—
190#391—21no—
191#391—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389C2312yes—
197#389C2312yes—
198#389C2312yes—
199#389C2312yes—
200#387—22no—
201#387—22no—
202#387—22no—
203#387—22no—
204#385—22no—
205#385—22no—
206#385—22no—
207#385—22no—
208#385—22no—
209#385—22no—
210#384C2311yescharacteristic
211#384C2311yescharacteristic
212#382C2312yes—
213#381—22no—
214#380—21no—
215#380—21no—
216#380—21no—
217#380—21no—
218#380—21no—
219#380—21no—
220#380C2312yes—
221#380C2312yes—
222#380C2312yes—
223#380C2312yes—
224#379—22no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231#340C2318yes—
232#340C2318yes—
233#336C2314yes—
234#336C2314yes—
235C25C2×D411yescharacteristic
236C22×Q8—28no—
237C22×Q8—28no—
238C22×Q8—22no—
239C22×Q8—22no—
240C22×Q8—22no—
241C22×Q8—21no—
242C22×Q8—21no—
243C22×Q8—24no—
244C22×Q8—24no—
245C22×Q8—44no—
246C22×Q8—44no—
247C22×Q8—44no—
248C22×Q8C2414yes—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277C23×C4C2411yescharacteristic
278C22×C8C2418yes—
279C4⋊Q8—28no—
280C4⋊Q8—28no—
281C4⋊Q8—28no—
282C4⋊Q8—28no—
283C4⋊Q8—28no—
284C4⋊Q8—28no—
285C4⋊Q8—24no—
286C4⋊Q8—24no—
287C4⋊Q8—24no—
288C4⋊Q8—24no—
289C4⋊Q8C2×D418yes—
290C4⋊Q8C2×D418yes—
291#125—216no—
292#125—216no—
293#125—216no—
294#125—216no—
295#125—28no—
296C22⋊Q8—216no—
297C22⋊Q8—216no—
298C22⋊Q8—216no—
299C22⋊Q8—216no—
300C22⋊Q8—216no—
301C22⋊Q8—28no—
302C22⋊Q8—216no—
303C22⋊Q8—28no—
304C22⋊Q8—28no—
305C22⋊Q8—44no—
306C22⋊Q8—44no—
307C22⋊Q8—44no—
308C22⋊Q8—44no—
309C22⋊Q8—44no—
310C22⋊Q8—44no—
311C22⋊Q8C2×D4116yes—
312C4×Q8—216no—
313C4×Q8—216no—
314C4×Q8—216no—
315C4×Q8—216no—
316C4×Q8—216no—
317C4×Q8—28no—
318C4×Q8—28no—
319C4×Q8—216no—
320C4×Q8—28no—
321C4×Q8—44no—
322C4×Q8—44no—
323C4×Q8C2×D4116yes—
324#117—216no—
325#117—216no—
326#117—216no—
327#117—216no—
328#117—28no—
329#117—44no—
330C2×C4⋊C4—28no—
331C2×C4⋊C4—28no—
332C2×C4⋊C4—216no—
333C2×C4⋊C4—216no—
334C2×C4⋊C4—28no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—28no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2414yes—
364C2×C22⋊C4—216no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C42—216no—
374C2×C42—24no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—24no—
383C2×C42—24no—
384C2×C42—24no—
385C2×C42—24no—
386C2×C42—24no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D418yes—
402C2×C42C2411yescharacteristic
403C2×C42C2411yescharacteristic
404C2×C42C2411yescharacteristic
405C2×C42C2411yescharacteristic
406#107—216no—
407#106—216no—
408C4⋊C8—28no—
409#103—216no—
410#103—216no—
411#103—48no—
412#103—48no—
413C22⋊C8—28no—
414C22⋊C8—28no—
415C22⋊C8—44no—
416#97—28no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427C24—22no—
428C24—22no—
429C24—22no—
430C24—22no—
431C24—22no—
432C24—41no—
433C24—41no—
434C24C22×D411yescharacteristic
435C24C22×D411yescharacteristic
436C24C22×D411yescharacteristic
437C2×Q8—28no—
438C2×Q8—28no—
439C2×Q8—28no—
440C2×Q8—24no—
441C2×Q8—24no—
442C2×Q8—24no—
443C2×Q8—24no—
444C2×Q8—24no—
445C2×Q8—416no—
446C2×Q8—416no—
447C2×Q8—432no—
448C2×Q8—44no—
449C2×Q8—44no—
450C2×Q8—44no—
451C2×Q8—44no—
452C2×Q8—42no—
453C2×Q8—42no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×Q8—44no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8—44no—
460C2×Q8C22×D418yes—
461C22×C4—232no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
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—28no—
485C22×C4—28no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—416no—
519C22×C4—416no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4#12014yes—
525C22×C4#12014yes—
526C22×C4#13714yes—
527C22×C4#13714yes—
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D414yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C42−1+414yes—
541C22×C4C2511yescharacteristic
542C2×C8—28no—
543C2×C8—28no—
544C2×C8—28no—
545C4⋊C4—28no—
546C4⋊C4—28no—
547C4⋊C4—216no—
548C4⋊C4—216no—
549C4⋊C4—28no—
550C4⋊C4—28no—
551C4⋊C4—28no—
552C4⋊C4—28no—
553C4⋊C4—28no—
554C4⋊C4—216no—
555C4⋊C4—216no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4C22×D418yes—
574C22⋊C4—216no—
575C22⋊C4—216no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C42—216no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—216no—
594C42—22no—
595C42—22no—
596C42—44no—
597C42—44no—
598C42#12014yes—
599C42#12014yes—
600C42C22×D414yes—
601C42C22×D414yes—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—28no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23C2×#12012yes—
626C23#53612yes—
627C23C2×#13712yes—
628C23C2×#13712yes—
629C23#57512yes—
630C23C23×D411yescharacteristic
631Q8—28no—
632Q8—28no—
633Q8—416no—
634Q8—416no—
635Q8—416no—
636Q8—44no—
637Q8—44no—
638Q8—84no—
639Q8—84no—
640C2×C4—28no—
641C2×C4—28no—
642C2×C4—28no—
643C2×C4—28no—
644C2×C4—21no—
645C2×C4—21no—
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—28no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—28no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—28no—
668C2×C4—28no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—416no—
682C2×C4—416no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
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—42no—
700C2×C4C2×#12012yes—
701C2×C4C2×#12012yes—
702C2×C4C2×#12012yes—
703C2×C4C2×#12012yes—
704C2×C4C2×#12012yes—
705C2×C4#53612yes—
706C2×C4C2×#13712yes—
707C2×C4C2×#13712yes—
708C2×C4C2×#13712yes—
709C2×C4C2×#13712yes—
710C2×C4#57512yes—
711C2×C4C23×D412yes—
712C2×C4C2×2−1+412yes—
713C2×C4#58512yes—
714C8—48no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—416no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22#323714yescomplemented
737C22C22×#12011yescharacteristic
738C22C2×#53611yescharacteristic
739C22#344911yescharacteristic
740C22C22×#13711yescharacteristic
741C22C22×#13711yescharacteristic
742C22C2×#57511yescharacteristic
743C22C2×#57511yescharacteristic
744C4—22no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—22no—
751C4—22no—
752C4—41no—
753C4—48no—
754C4—41no—
755C4—48no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4#300414yes—
761C4#348914yes—
762C2—24no—
763C2—42no—
764C2—42no—
765C2#3530511yescharacteristic
766C2C2×#300411yescharacteristic
767C2#6035911yescharacteristic
768C2C2×#323711yescharacteristic
769C2#6086511yescharacteristic
770C2#6095211yescharacteristic
771C2#6096311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3237C2semidirect
4. #32957C2semidirect
5. #32954C2semidirect
6. #29691C2semidirect
7. #29688C2semidirect
8. #25861C2semidirect
9. #25816C2semidirect
10. #25677C2semidirect
11. #24065C2semidirect
13. #21870C2semidirect
35. C2×#501C22semidirect
36. C2×#491C22semidirect
38. C2×#477C22semidirect
39. C2×#475C22semidirect
58. #2058C22semidirect
59. #2057C22semidirect
60. #2043C22semidirect
61. #2043C22semidirect
64. #1993C22semidirect
65. #1960C22semidirect
67. #1865C22semidirect
68. #1863C22semidirect
72. #1803C22semidirect
73. #1803C22semidirect
736. C22#3237semidirect

Maximal subgroups

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

subgroupindex
C22×#5332
C2×#32372
#366252
#329572
#329542
#296912
#296882
#258612
#258162
#256772
#240652
#240102
#218702
#207152