Finite Group Databasebeta

← #7506765

Subgroups — #7506765

Order 512.

1980 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2502C211yesmaximal, characteristic, complemented
2#34742C211yesmaximal, characteristic
3#31956C214yesmaximal, complemented
4#31954C214yesmaximal, complemented
5#31936C214yesmaximal, complemented
6#31934C214yesmaximal, complemented
7#23734C211yesmaximal, characteristic, complemented
8#23658C211yesmaximal, characteristic, complemented
9#23629C211yesmaximal, characteristic, complemented
10#23619C211yesmaximal, characteristic, complemented
11#23481C211yesmaximal, characteristic, complemented
12#23392C211yesmaximal, characteristic
13#21237C211yesmaximal, characteristic, complemented
14#21049C211yesmaximal, characteristic, complemented
15#20927C211yesmaximal, characteristic, complemented
16#20909C211yesmaximal, characteristic
17#20844C211yesmaximal, characteristic, complemented
18#20764C211yesmaximal, characteristic, complemented
19#20648C211yesmaximal, characteristic, complemented
20C22×#137C2211yescharacteristic
21C2×#525C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C2×C4×#41C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C2×#428C2211yescharacteristic
26C2×#428C2211yescharacteristic
27C2×#428C2211yescharacteristic
28C2×#423C2211yescharacteristic
29C2×#417C2211yescharacteristic
30C2×#417C2211yescharacteristic
31C2×#417C2211yescharacteristic
32C2×#419C2211yescharacteristic
33C2×#419C2211yescharacteristic
34C2×#419C2211yescharacteristic
35C2×#407C2211yescharacteristic
36C2×#407C2211yescharacteristic
37C2×C4×M16C2211yescharacteristic
38#2502—22no—
39#2502—22no—
40#2502C2214yes—
41#2502C2214yes—
42#2423C2212yes—
43#2422C2212yes—
44#2421C2212yes—
45#2420C2212yes—
46#2419—22no—
47#2418—22no—
48#2395—22no—
49C2×#398—22no—
50C4×#123—22no—
51#2297C2211yescharacteristic
52#2296C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#391C2211yescharacteristic
55C2×#385—22no—
56#2285C2211yescharacteristic
57C2×#384C2211yescharacteristic
58C2×#384C2211yescharacteristic
59#2280C2211yescharacteristic
60C2×C4×C22⋊C4C2211yescharacteristic
61#2096C2212yescomplemented
62#2095C2212yescomplemented
63#2094C2212yescomplemented
64#2093C2212yescomplemented
65#2084C2214yescomplemented
66#2083C2214yescomplemented
67#2074C2214yescomplemented
68#2072C2214yescomplemented
69#2068C2214yescomplemented
70#2066C2214yescomplemented
71#2036C2214yes—
72#2035C2214yes—
73#2001C2214yes—
74#2000C2214yes—
75#1973C2212yescomplemented
76#1971C2212yescomplemented
77#1969C2212yescomplemented
78#1968C2212yescomplemented
79#1924C2214yes—
80#1923C2214yes—
81#1878C2214yescomplemented
82#1877C2214yescomplemented
83#1874C2214yes—
84#1872C2214yes—
85#1853C2214yes—
86#1852C2214yes—
87#1836C2214yescomplemented
88#1834C2214yescomplemented
89#1803C2214yescomplemented
90#1802C2214yescomplemented
91#1736C2211yescharacteristic
92#1736C2211yescharacteristic
93#1736C2211yescharacteristic
94#1736C2211yescharacteristic
95#1736C2211yescharacteristic
96#1736C2211yescharacteristic
97#1728C2211yescharacteristic
98#1728C2211yescharacteristic
99C22×#41C2311yescharacteristic
100C23×Q8C2311yescharacteristic
101C24×C4—21no—
102C24×C4C2311yescharacteristic
103C2×#137—24no—
104C2×#137—24no—
105C2×#137—42no—
106C22×Q16C2312yes—
107C22×SD16C2312yes—
108C22×M16C2311yescharacteristic
109C22×M16C2311yescharacteristic
110C22×M16C2311yescharacteristic
111C22×M16C2311yescharacteristic
112#525—24no—
113#525—42no—
114C2×#123—21no—
115C2×#123—22no—
116C2×C22⋊Q8—22no—
117C2×C22⋊Q8—42no—
118C2×C22⋊Q8—42no—
119C2×C22⋊Q8C2312yes—
120C2×C22⋊Q8C2314yes—
121C2×#121C2312yes—
122C2×#120—21no—
123C4×#41—24no—
124C4×#41—42no—
125C2×C4×Q8C2312yes—
126C2×C4×D4—22no—
127C2×C4×D4—22no—
128C2×C4×D4C2312yes—
129C2×#117—21no—
130C2×#117C2311yescharacteristic
131C2×#117C2311yescharacteristic
132C2×#117C2311yescharacteristic
133C22×C4⋊C4—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—22no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—22no—
138C22×C4⋊C4—42no—
139C22×C4⋊C4—42no—
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2314yes—
144C22×C22⋊C4—21no—
145C22×C22⋊C4D412yes—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#428—42no—
150#428—42no—
151#428—42no—
152C2×#107C2312yes—
153C2×#107C2312yes—
154C2×#107C2312yes—
155C2×#106C2312yes—
156C2×#106C2312yes—
157C2×#106C2312yes—
158#423—42no—
159C2×C4⋊C8C2314yes—
160#419—42no—
161#419—42no—
162#419—42no—
163#417—42no—
164#417—42no—
165#417—42no—
166C2×#103C2312yes—
167C2×#103C2312yes—
168C2×#103C2312yes—
169C2×#103C2314yes—
170C2×#103C2312yes—
171C2×#103C2314yes—
172C2×#103C2312yes—
173C2×#102C2312yes—
174C2×#102C2312yes—
175C2×#102C2312yes—
176#407—24no—
177#407—42no—
178C2×C22⋊C8C2314yes—
179C2×C22⋊C8C2314yes—
180C4×M16—24no—
181C2×#97C2312yes—
182C2×C4×C8C2312yes—
183#400—22no—
184#399—22no—
185#398—24no—
186#398—24no—
187#398—24no—
188#398—24no—
189#398—22no—
190#397—22no—
191#397—22no—
192#397—22no—
193#394—22no—
194#394—22no—
195#391—21no—
196#391—22no—
197#391—21no—
198#391C2314yes—
199#391C2312yes—
200#391C2312yes—
201#391C2311yescharacteristic
202#391C2311yescharacteristic
203#390C2311yescharacteristic
204#390C2311yescharacteristic
205#389C2312yes—
206#389C2312yes—
207#388—22no—
208#388—22no—
209#387—22no—
210#387—22no—
211#386—22no—
212#386—22no—
213#385—22no—
214#385—24no—
215#385—24no—
216#385—24no—
217#385—24no—
218#385—22no—
219#384—21no—
220#384—22no—
221#384—21no—
222#384C2314yes—
223#384C2312yes—
224#384C2312yes—
225#384C2312yes—
226#382C2312yes—
227#381—21no—
228#381—22no—
229#380—22no—
230#380C2312yes—
231#380C2312yes—
232#379—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—22no—
235C4×C4⋊C4—21no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4D412yes—
239C4×C22⋊C4D412yes—
240C4×C22⋊C4C2312yes—
241C4×C22⋊C4C2312yes—
242C2×#95—22no—
243C2×#95—22no—
244C2×#95D412yes—
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#336C2312yes—
252#336C2312yes—
253#336C2314yes—
254C25C2×D411yescharacteristic
255C2×#41—22no—
256C2×#41—22no—
257C2×#41—22no—
258C2×#41—22no—
259C2×#41—22no—
260C2×#41#4114yes—
261C22×Q8—21no—
262C22×Q8—22no—
263C22×Q8—22no—
264C22×Q8—22no—
265C22×Q8—22no—
266C22×Q8—22no—
267C22×Q8—22no—
268C22×Q8C2412yes—
269C22×Q8C2411yescharacteristic
270C22×D4—21no—
271C22×D4—22no—
272C22×D4C2411yescharacteristic
273C23×C4—21no—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—22no—
277C23×C4—22no—
278C23×C4—22no—
279C23×C4—22no—
280C23×C4—21no—
281C23×C4—21no—
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—24no—
285C23×C4—22no—
286C23×C4—44no—
287C23×C4—84no—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D412yes—
290C23×C4C2×D412yes—
291C23×C4C2×D412yes—
292C23×C4C2412yes—
293C23×C4C2411yescharacteristic
294#137—416no—
295C2×Q16—24no—
296C2×Q16—24no—
297C2×Q16—42no—
298C2×SD16—24no—
299C2×SD16—24no—
300C2×SD16—42no—
301C2×M16—22no—
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—22no—
307C2×M16—22no—
308C2×M16—22no—
309C2×M16—22no—
310C2×M16—22no—
311C2×M16—22no—
312C2×M16#4114yes—
313C22×C8C2412yes—
314C22×C8C2412yes—
315C22×C8C2412yes—
316C22×C8C2412yes—
317#123—44no—
318#123—48no—
319C22⋊Q8—24no—
320C22⋊Q8—44no—
321C22⋊Q8—44no—
322C22⋊Q8—42no—
323C22⋊Q8—48no—
324#121—24no—
325#121—42no—
326#120—44no—
327C4×Q8—24no—
328C4×Q8—42no—
329C4×D4—24no—
330C4×D4—42no—
331C4×D4—48no—
332C4×D4—48no—
333#117—22no—
334#117—22no—
335#117—22no—
336#117—22no—
337#117—22no—
338#117—22no—
339#117—44no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—24no—
349C2×C4⋊C4—24no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—24no—
358C2×C4⋊C4—24no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—44no—
362C2×C4⋊C4—44no—
363C2×C4⋊C4—44no—
364C2×C4⋊C4—48no—
365C2×C4⋊C4—44no—
366C2×C4⋊C4—84no—
367C2×C4⋊C4—84no—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2411yescharacteristic
374C2×C4⋊C4C2411yescharacteristic
375C2×C22⋊C4—28no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
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⋊C4—44no—
388C2×C22⋊C4C2×D412yes—
389C2×C22⋊C4C2×D412yes—
390C2×C22⋊C4C2×D412yes—
391C2×C22⋊C4C2×D412yes—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—22no—
400C2×C42—44no—
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D412yes—
403C2×C42C2×D411yescharacteristic
404C2×C42C2412yes—
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407#107—42no—
408#107—42no—
409#107—42no—
410#106—42no—
411#106—42no—
412#106—42no—
413C4⋊C8—44no—
414#103—42no—
415#103—42no—
416#103—42no—
417#103—42no—
418#103—42no—
419#103—44no—
420#103—44no—
421#102—42no—
422#102—42no—
423#102—42no—
424C22⋊C8—28no—
425C22⋊C8—44no—
426#97—24no—
427C4×C8—24no—
428#95—24no—
429#95—24no—
430#95—24no—
431#95—24no—
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#95C2×D412yes—
441#95C2×D412yes—
442#95C2×D412yes—
443#95C2×D412yes—
444C24—22no—
445C24—24no—
446C24—22no—
447C24—22no—
448C24—21no—
449C24—42no—
450C24C22×D412yes—
451C24C22×D411yescharacteristic
452#41—28no—
453#41—28no—
454#41—44no—
455#41—44no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—21no—
466C2×Q8—22no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—44no—
471C2×Q8—44no—
472C2×Q8—44no—
473C2×Q8—44no—
474C2×Q8C2×#4112yes—
475C2×D4—24no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—82no—
486C2×D4C2×#4112yes—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—42no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—48no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—44no—
533C22×C4—82no—
534C22×C4—84no—
535C22×C4—84no—
536C22×C4—816no—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D411yescharacteristic
543C22×C4C2×#4112yes—
544C22×C4C2×#4112yes—
545C22×C4H(5,𝔽2)12yes—
546C22×C4H(5,𝔽2)12yes—
547C22×C4H(5,𝔽2)12yes—
548C22×C42−1+412yes—
549C22×C4C2511yescharacteristic
550Q16—48no—
551SD16—48no—
552M16—28no—
553M16—44no—
554M16—44no—
555M16—44no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8C2×#4114yes—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—48no—
585C4⋊C4—48no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—44no—
590C4⋊C4—44no—
591C4⋊C4—82no—
592C4⋊C4—82no—
593C4⋊C4—84no—
594C4⋊C4—84no—
595C4⋊C4—84no—
596C4⋊C4—84no—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—48no—
604C22⋊C4—42no—
605C22⋊C4—42no—
606C22⋊C4—42no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—82no—
610C22⋊C4—82no—
611C22⋊C4#13718yescomplemented
612C42—22no—
613C42—22no—
614C42—24no—
615C42—21no—
616C42—21no—
617C42—22no—
618C42—22no—
619C42—21no—
620C42—21no—
621C42—44no—
622C42—42no—
623C42—42no—
624C42—42no—
625C23—22no—
626C23—22no—
627C23—28no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—48no—
636C23—48no—
637C23—44no—
638C23—44no—
639C23—42no—
640C23—41no—
641C23—41no—
642C23—42no—
643C23#53512yes—
644C23#54612yes—
645C23#54712yes—
646C23C2×#13714yes—
647C23C23×D411yescharacteristic
648Q8—22no—
649Q8—22no—
650Q8—41no—
651Q8—41no—
652Q8—42no—
653Q8—42no—
654Q8—42no—
655Q8—42no—
656Q8—84no—
657D4—22no—
658D4—22no—
659D4—48no—
660D4—41no—
661D4—41no—
662D4—88no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—48no—
678C2×C4—48no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—48no—
686C2×C4—48no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—88no—
708C2×C4—84no—
709C2×C4—84no—
710C2×C4—84no—
711C2×C4—816no—
712C2×C4—84no—
713C2×C4#53512yes—
714C2×C4#53914yes—
715C2×C4#54014yes—
716C2×C4#54612yes—
717C2×C4#54712yes—
718C2×C4#55114yes—
719C2×C4#56214yes—
720C2×C4C2×#13714yes—
721C2×C4C2×#13714yes—
722C2×C4C22×#4111yescharacteristic
723C2×C4C22×#4111yescharacteristic
724C2×C4C2×H(5,𝔽2)11yescharacteristic
725C2×C4C2×H(5,𝔽2)11yescharacteristic
726C2×C4C2×H(5,𝔽2)11yescharacteristic
727C2×C4C2×2−1+411yescharacteristic
728C8—24no—
729C8—42no—
730C8—42no—
731C8—42no—
732C22—24no—
733C22—22no—
734C22—22no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—24no—
739C22—416no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—44no—
746C22—82no—
747C22—81no—
748C22—81no—
749C22#270614yes—
750C22C2×#53511yescharacteristic
751C22C2×#54611yescharacteristic
752C22C2×#54711yescharacteristic
753C22C22×#13712yes—
754C22#358512yes—
755C4—24no—
756C4—24no—
757C4—42no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—81no—
762C4—81no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4#270614yes—
770C4C2×#53911yescharacteristic
771C4C2×#54011yescharacteristic
772C4C2×#55111yescharacteristic
773C4C2×#56211yescharacteristic
774C2—24no—
775C2—44no—
776C2—82no—
777C2C2×#270611yescharacteristic
778C2#6080011yescharacteristic
779C2#6080611yescharacteristic
780C2#6116212yes—
781C2#6125412yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2502C2semidirect
3. #31956C2semidirect
4. #31954C2semidirect
5. #31936C2semidirect
6. #31934C2semidirect
7. #23734C2semidirect
8. #23658C2semidirect
9. #23629C2semidirect
10. #23619C2semidirect
11. #23481C2semidirect
13. #21237C2semidirect
14. #21049C2semidirect
15. #20927C2semidirect
17. #20844C2semidirect
18. #20764C2semidirect
19. #20648C2semidirect
61. #2096C22semidirect
62. #2095C22semidirect
63. #2094C22semidirect
64. #2093C22semidirect
65. #2084C22semidirect
66. #2083C22semidirect
67. #2074C22semidirect
68. #2072C22semidirect
69. #2068C22semidirect
70. #2066C22semidirect
75. #1973C22semidirect
76. #1971C22semidirect
77. #1969C22semidirect
78. #1968C22semidirect
81. #1878C22semidirect
82. #1877C22semidirect
87. #1836C22semidirect
88. #1834C22semidirect
89. #1803C22semidirect
90. #1802C22semidirect
611. C22⋊C4#137semidirect

Maximal subgroups

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

subgroupindex
C2×#25022
#347422
#319562
#319542
#319362
#319342
#237342
#236582
#236292
#236192
#234812
#233922
#212372
#210492
#209272
#209092
#208442
#207642
#206482