Finite Group Databasebeta

← #6473076

Subgroups — #6473076

Order 512.

2236 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3193C211yesmaximal, characteristic
2C2×#3187C211yesmaximal, characteristic
3C2×#2621C211yesmaximal, characteristic, complemented
4#34204C211yesmaximal, characteristic
5#33119C212yesmaximal, complemented
6#32914C212yesmaximal, complemented
7#29764C212yesmaximal, complemented
8#29723C212yesmaximal, complemented
9#28583C214yesmaximal, complemented
10#28118C212yesmaximal, complemented
11#28115C212yesmaximal, complemented
12#27651C212yesmaximal, complemented
13#24766C214yesmaximal, complemented
14#24209C212yesmaximal, complemented
15#21768C211yesmaximal, characteristic, complemented
16#21762C211yesmaximal, characteristic, complemented
17#20628C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic, complemented
19C22×C22⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C2×#518C2211yescharacteristic
23C22×#117C2211yescharacteristic
24#3193—28no—
25#3187—28no—
26C2×#484C2212yes—
27C2×#481C2212yes—
28C2×#483C2212yes—
29C2×#480C2212yes—
30C2×#468C2214yes—
31C2×#465C2214yes—
32C2×#461C2214yescomplemented
33C2×#448C2212yes—
34C2×#448C2212yes—
35C2×#450C2212yes—
36C2×#450C2212yes—
37C2×#424C2212yescomplemented
38C2×#407C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40#2621—22no—
41#2621—22no—
42#2621C2212yes—
43#2621C2212yes—
44#2621C2212yescomplemented
45#2621C2212yescomplemented
46C2×#398—22no—
47C2×#397—22no—
48#2363—22no—
49#2361—22no—
50#2342—22no—
51D4×C22⋊C4—22no—
52#2324C2212yes—
53#2324C2212yes—
54#2316C2211yescharacteristic
55#2309C2211yescharacteristic
56C4×#121C2212yes—
57C4×#121C2212yes—
58C2×#391C2211yescharacteristic, complemented
59C2×#391C2211yescharacteristic, complemented
60C2×#382C2211yescharacteristic, complemented
61#2280C2211yescharacteristic
62#2274C2211yescharacteristic
63#2085C2214yescomplemented
64#2073C2214yescomplemented
65#2068C2214yescomplemented
66#2066C2214yescomplemented
67#2055C2214yescomplemented
68#2055C2214yescomplemented
69#2043C2214yescomplemented
70#2013C2214yescomplemented
71#1981C2214yescomplemented
72#1949C2214yescomplemented
73#1928C2214yescomplemented
74#1927C2214yescomplemented
75#1894C2214yescomplemented
76#1892C2214yescomplemented
77#1877C2214yescomplemented
78#1877C2214yescomplemented
79#1873C2212yes—
80#1873C2212yes—
81#1873C2212yes—
82#1873C2212yes—
83#1824C2212yescomplemented
84#1823C2212yescomplemented
85#1804C2214yescomplemented
86#1798C2212yes—
87#1798C2212yes—
88#1797C2212yescomplemented
89#1797C2212yescomplemented
90#1787C2212yescomplemented
91#1787C2212yescomplemented
92#1729C2212yescomplemented
93C23×Q8C2311yescharacteristic
94C23×Q8C2311yescharacteristic
95C23×D4—21no—
96C23×D4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C22×SD16C2314yes—
99C22×SD16C2314yes—
100C22×M16C2312yes—
101C23×C8C2312yes—
102C2×C4⋊Q8—22no—
103C2×C4⋊Q8—44no—
104C2×C4⋊Q8C2312yes—
105C2×C4⋊Q8C2312yes—
106C2×C22⋊Q8—21no—
107C2×C22⋊Q8—21no—
108C2×C22⋊Q8—21no—
109C2×C22⋊Q8—21no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—24no—
113C2×C22⋊Q8—24no—
114C2×C22⋊Q8C2312yes—
115C2×C22⋊Q8C2312yes—
116C2×C22⋊Q8C2312yes—
117C2×C22⋊Q8C2312yes—
118C2×#121—21no—
119C2×#121—21no—
120C2×#121—24no—
121C2×#121D418yes—
122C2×#121C2312yes—
123C2×#121C2312yes—
124#518—44no—
125C2×C4×D4—22no—
126C2×C4×D4—22no—
127C2×C4×D4—22no—
128C2×C4×D4C2312yes—
129C2×C4×D4C2312yes—
130C2×#117—44no—
131C2×#117D412yes—
132C2×#117D412yes—
133C2×#117C2311yescharacteristic
134C2×#117C2311yescharacteristic
135C2×#117C2311yescharacteristic
136C2×#117C2311yescharacteristic
137C2×#117C2311yescharacteristic
138C2×#117C2311yescharacteristic
139C22×C4⋊C4—22no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4D412yes—
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2311yescharacteristic
145C22×C4⋊C4C2311yescharacteristic
146C22×C22⋊C4—21no—
147C22×C22⋊C4—21no—
148C22×C22⋊C4—21no—
149C22×C22⋊C4—22no—
150C22×C22⋊C4D412yes—
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153#484—28no—
154#483—28no—
155#481—28no—
156#480—28no—
157#468—216no—
158#465—216no—
159#461—48no—
160#450—28no—
161#450—28no—
162#448—28no—
163#448—28no—
164C2×#107C2314yes—
165C2×#106C2314yes—
166#424—44no—
167C2×C4⋊C8C2314yes—
168C2×C4⋊C8C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#103C2314yes—
173C2×#103C2314yes—
174C2×#103C2314yes—
175C2×#102C2314yes—
176C2×#102C2314yes—
177#407—24no—
178C2×C22⋊C8—24no—
179C2×C22⋊C8C2312yes—
180C2×C22⋊C8C2312yes—
181C2×C22⋊C8C2312yes—
182C2×C22⋊C8C2312yes—
183#398—24no—
184#398—24no—
185#398—24no—
186#398—24no—
187#397—24no—
188#397—24no—
189#397—24no—
190#397—24no—
191#391—22no—
192#391—22no—
193#391C2312yes—
194#391C2312yes—
195#391C2312yes—
196#391C2312yes—
197#390—22no—
198#390—22no—
199#390—22no—
200#390C2312yes—
201#390C2312yes—
202#389—22no—
203#389C2312yes—
204#389C2312yes—
205#388—22no—
206#388—22no—
207#388—22no—
208#388—22no—
209#386—22no—
210#386—22no—
211#386—22no—
212#386—22no—
213#385—22no—
214#385—22no—
215#382—22no—
216#382C2312yes—
217#382C2312yes—
218#381—21no—
219#380—22no—
220#380C2312yes—
221#380C2312yes—
222#379—21no—
223#379—22no—
224C4×C4⋊C4—22no—
225C4×C4⋊C4C2312yes—
226C4×C4⋊C4C2312yes—
227C4×C22⋊C4—21no—
228C4×C22⋊C4—21no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232C2×#95—22no—
233C2×#95—22no—
234C2×#95—22no—
235#340C2314yes—
236#340C2314yes—
237#340C2314yes—
238#340C2314yes—
239#336C2314yes—
240#336C2314yes—
241C25—21no—
242C25C2×D411yescharacteristic
243C22×Q8—21no—
244C22×Q8—21no—
245C22×Q8—22no—
246C22×Q8—22no—
247C22×Q8—22no—
248C22×Q8—22no—
249C22×Q8—42no—
250C22×Q8—42no—
251C22×Q8—42no—
252C22×Q8—42no—
253C22×Q8C2412yes—
254C22×Q8C2412yes—
255C22×D4—22no—
256C22×D4—28no—
257C22×D4—22no—
258C22×D4—21no—
259C22×D4—22no—
260C22×D4—42no—
261C22×D4—42no—
262C22×D4—84no—
263C22×D4C2×D414yes—
264C22×D4C2412yes—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—42no—
273C23×C4—42no—
274C23×C4C2×D412yes—
275C23×C4C2×D412yes—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D414yes—
280C23×C4#4114yes—
281C23×C4C2411yescharacteristic
282C23×C4C2411yescharacteristic
283C23×C4C2411yescharacteristic
284C2×SD16—28no—
285C2×SD16—28no—
286C2×SD16—44no—
287C2×SD16—44no—
288C2×SD16—44no—
289C2×SD16—44no—
290C2×M16—24no—
291C2×M16—42no—
292C2×M16—42no—
293C22×C8—24no—
294C22×C8—42no—
295C22×C8—42no—
296C22×C8C2414yes—
297C22×C8C2414yes—
298C4⋊Q8—28no—
299C4⋊Q8—44no—
300C4⋊Q8—48no—
301C22⋊Q8—24no—
302C22⋊Q8—24no—
303C22⋊Q8—24no—
304C22⋊Q8—24no—
305C22⋊Q8—24no—
306C22⋊Q8—24no—
307C22⋊Q8—24no—
308C22⋊Q8—24no—
309C22⋊Q8—44no—
310C22⋊Q8—44no—
311C22⋊Q8—44no—
312C22⋊Q8—44no—
313#121—28no—
314#121—28no—
315#121—24no—
316#121—24no—
317#121C2×D418yes—
318#121C2×D418yes—
319C4×D4—28no—
320C4×D4—44no—
321C4×D4—48no—
322C4×D4—84no—
323C4×D4—84no—
324#117—24no—
325#117—24no—
326#117—42no—
327#117—42no—
328#117—44no—
329#117—44no—
330#117—42no—
331#117—42no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
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—22no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—44no—
349C2×C4⋊C4—48no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4—44no—
352C2×C4⋊C4C2×D412yes—
353C2×C4⋊C4C2×D412yes—
354C2×C4⋊C4C2×D414yes—
355C2×C4⋊C4C2×D412yes—
356C2×C4⋊C4C2×D412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C22⋊C4—28no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—44no—
380C2×C22⋊C4—48no—
381C2×C22⋊C4—44no—
382C2×C22⋊C4—44no—
383C2×C22⋊C4C2×D412yes—
384C2×C22⋊C4C2×D412yes—
385C2×C22⋊C4C2×D412yes—
386C2×C22⋊C4C2×D412yes—
387C2×C42—24no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—42no—
393C2×C42C2×D412yes—
394C2×C42C2×D412yes—
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397C2×C42C2411yescharacteristic
398C2×C42C2411yescharacteristic
399#107—28no—
400#106—28no—
401C4⋊C8—28no—
402C4⋊C8—44no—
403#103—28no—
404#103—28no—
405#103—44no—
406#103—44no—
407#103—44no—
408#103—44no—
409#102—28no—
410#102—28no—
411C22⋊C8—24no—
412C22⋊C8—24no—
413C22⋊C8—24no—
414C22⋊C8—24no—
415#95—24no—
416#95—24no—
417#95—24no—
418#95—24no—
419#95—24no—
420#95—24no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427C24—24no—
428C24—22no—
429C24—24no—
430C24—41no—
431C24—41no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24—82no—
436C24—82no—
437C24#12114yes—
438C24C22×D411yescharacteristic
439C24C22×D411yescharacteristic
440C24C22×D411yescharacteristic
441C2×Q8—22no—
442C2×Q8—22no—
443C2×Q8—22no—
444C2×Q8—22no—
445C2×Q8—24no—
446C2×Q8—24no—
447C2×Q8—24no—
448C2×Q8—24no—
449C2×Q8—42no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×Q8—42no—
453C2×Q8—42no—
454C2×Q8—42no—
455C2×Q8—84no—
456C2×Q8—84no—
457C2×Q8—84no—
458C2×Q8—84no—
459C2×D4—28no—
460C2×D4—28no—
461C2×D4—24no—
462C2×D4—22no—
463C2×D4—24no—
464C2×D4—24no—
465C2×D4—48no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—48no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—82no—
472C2×D4—82no—
473C2×D4—816no—
474C2×D4C22×D414yes—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—44no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—44no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—82no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4—82no—
519C22×C4—82no—
520C22×C4#12114yes—
521C22×C4#12114yes—
522C22×C4#12114yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C2×#4112yes—
534C22×C4C2×#4112yes—
535C22×C4C2×#4112yes—
536C22×C4C2511yescharacteristic
537SD16—88no—
538SD16—88no—
539M16—84no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—84no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—48no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—48no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4C22×D414yes—
570C22⋊C4—28no—
571C22⋊C4—28no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—44no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C42—24no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—42no—
595C42—42no—
596C42—42no—
597C42—82no—
598C42—82no—
599C42H(5,𝔽2)14yes—
600C23—22no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—22no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—22no—
610C23—22no—
611C23—28no—
612C23—24no—
613C23—44no—
614C23—44no—
615C23—48no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—164no—
627C23—164no—
628C23C2×#12112yes—
629C23C2×#12112yes—
630C23C2×#12112yes—
631C23#57714yes—
632C23C23×D411yescharacteristic
633Q8—44no—
634Q8—44no—
635Q8—44no—
636Q8—44no—
637Q8—84no—
638Q8—84no—
639D4—28no—
640D4—48no—
641D4—416no—
642D4—44no—
643D4—88no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4—164no—
697C2×C4—164no—
698C2×C4C2×#12112yes—
699C2×C4C2×#12112yes—
700C2×C4C2×#12112yes—
701C2×C4#53414yes—
702C2×C4C23×D411yescharacteristic
703C2×C4C22×#4111yescharacteristic
704C2×C4C2×H(5,𝔽2)12yes—
705C2×C4#58512yes—
706C8—44no—
707C8—44no—
708C22—22no—
709C22—24no—
710C22—24no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—88no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—168no—
731C22#304214yes—
732C22C22×#12111yescharacteristic
733C22C2×#53411yescharacteristic
734C22#344911yescharacteristic
735C22C2×#57712yes—
736C22#358612yes—
737C4—24no—
738C4—22no—
739C4—22no—
740C4—22no—
741C4—44no—
742C4—42no—
743C4—42no—
744C4—42no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4#349612yes—
752C4#350512yes—
753C2—24no—
754C2—42no—
755C2—42no—
756C2—84no—
757C2#3500011yescharacteristic
758C2C2×#304211yescharacteristic
759C2#6042711yescharacteristic
760C2#6075812yes—
761C2#6098212yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2621C2semidirect
5. #33119C2semidirect
6. #32914C2semidirect
7. #29764C2semidirect
8. #29723C2semidirect
9. #28583C2semidirect
10. #28118C2semidirect
11. #28115C2semidirect
12. #27651C2semidirect
13. #24766C2semidirect
14. #24209C2semidirect
15. #21768C2semidirect
16. #21762C2semidirect
17. #20628C2semidirect
18. C22×C4⋊Q8C22semidirect
32. C2×#461C22semidirect
37. C2×#424C22semidirect
44. #2621C22semidirect
45. #2621C22semidirect
58. C2×#391C22semidirect
59. C2×#391C22semidirect
60. C2×#382C22semidirect
63. #2085C22semidirect
64. #2073C22semidirect
65. #2068C22semidirect
66. #2066C22semidirect
67. #2055C22semidirect
68. #2055C22semidirect
69. #2043C22semidirect
70. #2013C22semidirect
71. #1981C22semidirect
72. #1949C22semidirect
73. #1928C22semidirect
74. #1927C22semidirect
75. #1894C22semidirect
76. #1892C22semidirect
77. #1877C22semidirect
78. #1877C22semidirect
83. #1824C22semidirect
84. #1823C22semidirect
85. #1804C22semidirect
88. #1797C22semidirect
89. #1797C22semidirect
90. #1787C22semidirect
91. #1787C22semidirect
92. #1729C22semidirect

Maximal subgroups

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

subgroupindex
C2×#31932
C2×#31872
C2×#26212
#342042
#331192
#329142
#297642
#297232
#285832
#281182
#281152
#276512
#247662
#242092
#217682
#217622
#206282