Finite Group Databasebeta

← #6457102

Subgroups — #6457102

Order 512.

1992 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
1C2×#2500C211yesmaximal, characteristic
2#34739C211yesmaximal, characteristic, complemented
3#27720C214yesmaximal, complemented
4#27718C214yesmaximal, complemented
5#27710C214yesmaximal, complemented
6#27696C214yesmaximal, complemented
7#23746C211yesmaximal, characteristic, complemented
8#23745C211yesmaximal, characteristic, complemented
9#23628C211yesmaximal, characteristic, complemented
10#23454C211yesmaximal, characteristic, complemented
11#21322C211yesmaximal, characteristic, complemented
12#21095C211yesmaximal, characteristic, complemented
13#21095C211yesmaximal, characteristic, complemented
14#20973C211yesmaximal, characteristic
15#20912C211yesmaximal, characteristic
16#20765C211yesmaximal, characteristic, complemented
17#20701C211yesmaximal, characteristic, complemented
18C22⋊C4×M16C211yesmaximal, characteristic, complemented
19#20347C211yesmaximal, characteristic, complemented
20C23×M16C2211yescharacteristic
21C2×#533C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C22×#117C2211yescharacteristic
25C2×#418C2211yescharacteristic
26C2×#418C2211yescharacteristic
27C2×#418C2211yescharacteristic
28C2×#418C2211yescharacteristic
29C2×#407C2211yescharacteristic
30C2×C4×M16C2211yescharacteristic
31C2×C4×M16C2211yescharacteristic
32#2500—22no—
33#2500—22no—
34#2500C2212yes—
35#2500C2212yes—
36#2500C2212yes—
37#2500C2212yes—
38#2442C2212yescomplemented
39#2441C2212yescomplemented
40#2440C2212yescomplemented
41#2439C2212yescomplemented
42#2438—22no—
43#2437—22no—
44#2396—22no—
45C2×#394—22no—
46C4×C22⋊Q8—22no—
47#2296C2211yescharacteristic
48#2296C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#388—22no—
52#2285C2211yescharacteristic
53C2×#384C2211yescharacteristic
54C2×#382C2211yescharacteristic
55#2280C2211yescharacteristic
56C2×C4×C22⋊C4C2211yescharacteristic
57#2101C2214yescomplemented
58#2101C2214yescomplemented
59#2100C2214yescomplemented
60#2099C2214yescomplemented
61#2073C2214yescomplemented
62#2071C2214yescomplemented
63#2025C2214yescomplemented
64#2023C2214yescomplemented
65#1992C2214yescomplemented
66#1990C2214yescomplemented
67#1936C2214yescomplemented
68#1936C2214yescomplemented
69#1934C2214yescomplemented
70#1934C2214yescomplemented
71#1895C2214yes—
72#1893C2214yes—
73#1875C2214yes—
74#1874C2214yes—
75#1836C2214yescomplemented
76#1835C2214yescomplemented
77#1825C2214yescomplemented
78#1825C2214yescomplemented
79#1753C2212yescomplemented
80#1753C2212yescomplemented
81#1752C2212yescomplemented
82C8×C22⋊C4C2212yescomplemented
83#1736C2211yescharacteristic
84#1736C2211yescharacteristic
85#1736C2211yescharacteristic
86#1736C2211yescharacteristic
87#1736C2211yescharacteristic
88#1736C2211yescharacteristic
89#1736C2211yescharacteristic
90#1736C2211yescharacteristic
91#1736C2211yescharacteristic
92#1736C2211yescharacteristic
93#1736C2211yescharacteristic
94#1736C2211yescharacteristic
95#1736C2214yescomplemented
96#1735C2214yescomplemented
97#1728C2211yescharacteristic
98#1728C2211yescharacteristic
99C23×D4—21no—
100C23×D4C2311yescharacteristic
101C24×C4C2311yescharacteristic
102C22×M16—24no—
103C22×M16—24no—
104C22×M16—42no—
105C22×M16C2311yescharacteristic
106C22×M16C2311yescharacteristic
107C22×M16C2311yescharacteristic
108C22×M16C2312yes—
109C22×M16C2311yescharacteristic
110C23×C8C2312yes—
111#533—24no—
112#533—42no—
113C2×C4⋊Q8C2312yes—
114C2×#125C2312yes—
115C2×C22⋊Q8—22no—
116C2×C22⋊Q8—22no—
117C2×#121—21no—
118C2×#121—21no—
119C2×#121—24no—
120C2×#121—24no—
121C2×#121C2312yes—
122C2×#121C2312yes—
123C2×C4×Q8—22no—
124C2×#117—21no—
125C2×#117—21no—
126C2×#117—21no—
127C2×#117—21no—
128C2×#117—24no—
129C2×#117—24no—
130C2×#117—24no—
131C2×#117—42no—
132C2×#117C2312yes—
133C2×#117C2312yes—
134C2×#117C2311yescharacteristic
135C2×#117C2311yescharacteristic
136C2×#117C2311yescharacteristic
137C2×#117C2312yes—
138C2×#117C2311yescharacteristic
139C22×C4⋊C4—22no—
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2312yes—
144C22×C22⋊C4—21no—
145C22×C22⋊C4—21no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4—21no—
148C22×C22⋊C4—22no—
149C22×C22⋊C4D412yes—
150C22×C42—21no—
151C22×C42—21no—
152C22×C42C2311yescharacteristic
153C22×C42C2311yescharacteristic
154#418—24no—
155#418—24no—
156#418—42no—
157#418—42no—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162#407—24no—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C4×M16—24no—
166C4×M16—42no—
167C2×#97C2312yes—
168C2×#97C2312yes—
169C2×C4×C8C2312yes—
170C2×C4×C8C2312yes—
171#400—22no—
172#399—22no—
173#398—22no—
174#398—22no—
175#396—22no—
176#396—22no—
177#395—22no—
178#394—24no—
179#394—24no—
180#394—24no—
181#394—24no—
182#393—22no—
183#391—22no—
184#390—22no—
185#390—22no—
186#390C2312yes—
187#390C2312yes—
188#390C2312yes—
189#390C2312yes—
190#389—22no—
191#389C2312yes—
192#389C2312yes—
193#389C2312yes—
194#389C2312yes—
195#388—24no—
196#388—24no—
197#388—24no—
198#388—24no—
199#387—22no—
200#387—22no—
201#385—22no—
202#385—22no—
203#385—22no—
204#385—22no—
205#384—22no—
206#384C2312yes—
207#384C2312yes—
208#384C2312yes—
209#382—22no—
210#382C2312yes—
211#382C2312yes—
212#382C2312yes—
213#381—21no—
214#380—22no—
215#380—22no—
216#380C2312yes—
217#380C2312yes—
218#379—21no—
219C4×C4⋊C4—22no—
220C4×C4⋊C4—22no—
221C4×C4⋊C4—22no—
222C4×C22⋊C4—21no—
223C4×C22⋊C4—21no—
224C4×C22⋊C4D412yes—
225C4×C22⋊C4D412yes—
226C4×C22⋊C4C2311yescharacteristic
227C4×C22⋊C4C2311yescharacteristic
228C4×C22⋊C4C2311yescharacteristic
229C4×C22⋊C4C2311yescharacteristic
230C2×#95—22no—
231C2×#95D412yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2314yes—
238#340C2314yes—
239#340C2314yes—
240#340C2314yes—
241#340C2314yes—
242#340C2314yes—
243#340C2314yes—
244#336C2312yes—
245#336C2312yes—
246#336C2312yes—
247#336C2312yes—
248C25—21no—
249C25C2×D411yescharacteristic
250C22×Q8—22no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—21no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—22no—
259C22×D4—22no—
260C22×D4—44no—
261C22×D4—84no—
262C22×D4C2412yes—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—22no—
271C23×C4C2×D412yes—
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D412yes—
276C23×C4#4114yes—
277C23×C4#4114yes—
278C23×C4C2411yescharacteristic
279C23×C4C2411yescharacteristic
280C23×C4C2411yescharacteristic
281C2×M16—22no—
282C2×M16—22no—
283C2×M16—24no—
284C2×M16—22no—
285C2×M16—22no—
286C2×M16—22no—
287C2×M16—22no—
288C2×M16—22no—
289C2×M16—22no—
290C2×M16—22no—
291C2×M16—22no—
292C2×M16—22no—
293C2×M16—24no—
294C2×M16—42no—
295C2×M16—416no—
296C2×M16#4114yes—
297C22×C8—24no—
298C22×C8—24no—
299C22×C8—42no—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C4⋊Q8—24no—
305C4⋊Q8—42no—
306#125—24no—
307#125—42no—
308C22⋊Q8—48no—
309C22⋊Q8—48no—
310#121—24no—
311#121—24no—
312#121—24no—
313#121—24no—
314#121—44no—
315#121—44no—
316C4×Q8—48no—
317#117—22no—
318#117—24no—
319#117—24no—
320#117—24no—
321#117—24no—
322#117—22no—
323#117—22no—
324#117—22no—
325#117—22no—
326#117—22no—
327#117—22no—
328#117—24no—
329#117—44no—
330#117—44no—
331#117—42no—
332#117—44no—
333#117—44no—
334#117#4114yes—
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—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—24no—
353C2×C4⋊C4—24no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—42no—
358C2×C4⋊C4—84no—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2412yes—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—44no—
382C2×C22⋊C4—44no—
383C2×C22⋊C4—48no—
384C2×C22⋊C4—44no—
385C2×C22⋊C4—44no—
386C2×C22⋊C4—84no—
387C2×C22⋊C4C2×D412yes—
388C2×C22⋊C4C2×D412yes—
389C2×C22⋊C4C2×D412yes—
390C2×C22⋊C4C2×D412yes—
391C2×C42—21no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—21no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—21no—
401C2×C42—21no—
402C2×C42—44no—
403C2×C42—44no—
404C2×C42C2×D412yes—
405C2×C42C2×D412yes—
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410#102—28no—
411#102—28no—
412#102—44no—
413#102—44no—
414C22⋊C8—24no—
415C22⋊C8—24no—
416#97—24no—
417#97—42no—
418C4×C8—24no—
419C4×C8—42no—
420#95—24no—
421#95—24no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95C2×D412yes—
431#95C2×D412yes—
432#95C2×D412yes—
433#95C2×D412yes—
434C24—22no—
435C24—22no—
436C24—22no—
437C24—42no—
438C24—42no—
439C24—44no—
440C24—44no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24#12414yes—
445C24C22×D411yescharacteristic
446C24C22×D411yescharacteristic
447C24C22×D411yescharacteristic
448C2×Q8—44no—
449C2×Q8—44no—
450C2×Q8—82no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—42no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—84no—
467C2×D4—84no—
468C2×D4—816no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—82no—
509C22×C4#12414yes—
510C22×C4#12414yes—
511C22×C4#12414yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D412yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C2×#4112yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4C2×#4112yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C42−1+412yes—
529C22×C4C2511yescharacteristic
530M16—28no—
531M16—48no—
532M16—44no—
533M16—44no—
534M16—44no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—48no—
547C2×C8C2×#4114yes—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C4⋊C4—84no—
575C4⋊C4—84no—
576C4⋊C4C2×#4114yes—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—44no—
583C22⋊C4—48no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—42no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—48no—
593C22⋊C4—84no—
594C22⋊C4—84no—
595C22⋊C4—82no—
596C42—24no—
597C42—24no—
598C42—24no—
599C42—21no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—44no—
608C42—44no—
609C42—44no—
610C42—42no—
611C42—42no—
612C42—42no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—22no—
622C23—22no—
623C23—28no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—44no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—88no—
635C23—84no—
636C23—88no—
637C23—84no—
638C23C2×#12412yes—
639C23C2×#12412yes—
640C23C2×#12412yes—
641C23#54612yes—
642C23#54712yes—
643C23C23×D411yescharacteristic
644Q8—88no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—42no—
649D4—88no—
650D4—88no—
651D4—84no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—28no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—28no—
668C2×C4—28no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—48no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—84no—
698C2×C4—88no—
699C2×C4—84no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4C2×#12412yes—
703C2×C4C2×#12412yes—
704C2×C4C2×#12412yes—
705C2×C4#52914yes—
706C2×C4#53914yes—
707C2×C4#54612yes—
708C2×C4#54712yes—
709C2×C4#55114yes—
710C2×C4#55214yes—
711C2×C4#57514yes—
712C2×C4C22×#4111yescharacteristic
713C2×C4C22×#4111yescharacteristic
714C2×C4C22×#4111yescharacteristic
715C2×C4C22×#4111yescharacteristic
716C2×C4C2×H(5,𝔽2)11yescharacteristic
717C2×C4C2×2−1+411yescharacteristic
718C8—24no—
719C8—42no—
720C8—42no—
721C8—42no—
722C22—24no—
723C22—22no—
724C22—22no—
725C22—24no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—88no—
737C22—84no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—84no—
742C22—168no—
743C22#248814yes—
744C22C22×#12411yescharacteristic
745C22C2×#54611yescharacteristic
746C22C2×#54711yescharacteristic
747C22C2×#57512yes—
748C22#358512yes—
749C4—22no—
750C4—22no—
751C4—24no—
752C4—42no—
753C4—42no—
754C4—42no—
755C4—44no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#248814yes—
763C4C2×#52911yescharacteristic
764C4C2×#53911yescharacteristic
765C4C2×#55111yescharacteristic
766C4C2×#55211yescharacteristic
767C2—24no—
768C2—42no—
769C2—42no—
770C2—162no—
771C2C2×#248811yescharacteristic
772C2#6061811yescharacteristic
773C2#6061911yescharacteristic
774C2#6116412yes—
775C2#6125612yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
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
2. #34739C2semidirect
3. #27720C2semidirect
4. #27718C2semidirect
5. #27710C2semidirect
6. #27696C2semidirect
7. #23746C2semidirect
8. #23745C2semidirect
9. #23628C2semidirect
10. #23454C2semidirect
11. #21322C2semidirect
12. #21095C2semidirect
13. #21095C2semidirect
16. #20765C2semidirect
17. #20701C2semidirect
18. C22⋊C4×M16C2semidirect
19. #20347C2semidirect
38. #2442C22semidirect
39. #2441C22semidirect
40. #2440C22semidirect
41. #2439C22semidirect
57. #2101C22semidirect
58. #2101C22semidirect
59. #2100C22semidirect
60. #2099C22semidirect
61. #2073C22semidirect
62. #2071C22semidirect
63. #2025C22semidirect
64. #2023C22semidirect
65. #1992C22semidirect
66. #1990C22semidirect
67. #1936C22semidirect
68. #1936C22semidirect
69. #1934C22semidirect
70. #1934C22semidirect
75. #1836C22semidirect
76. #1835C22semidirect
77. #1825C22semidirect
78. #1825C22semidirect
79. #1753C22semidirect
80. #1753C22semidirect
81. #1752C22semidirect
82. C8×C22⋊C4C22semidirect
95. #1736C22semidirect
96. #1735C22semidirect

Maximal subgroups

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

subgroupindex
C2×#25002
#347392
#277202
#277182
#277102
#276962
#237462
#237452
#236282
#234542
#213222
#210952
#209732
#209122
#207652
#207012
C22⋊C4×M162
#203472