Finite Group Databasebeta

← #6457217

Subgroups — #6457217

Order 512.

2218 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3094C211yesmaximal, characteristic
2C22×#482C211yesmaximal, characteristic
3#34204C211yesmaximal, characteristic
4#34052C211yesmaximal, characteristic, complemented
5#27655C214yesmaximal, complemented
6#27654C214yesmaximal, complemented
7#27650C214yesmaximal, complemented
8#27646C214yesmaximal, complemented
9#23661C211yesmaximal, characteristic, complemented
10#23660C211yesmaximal, characteristic, complemented
11#23632C211yesmaximal, characteristic, complemented
12#23632C211yesmaximal, characteristic, complemented
13#21174C211yesmaximal, characteristic, complemented
14#21173C211yesmaximal, characteristic, complemented
15#20701C211yesmaximal, characteristic, complemented
16#20699C211yesmaximal, characteristic, complemented
17#20650C211yesmaximal, characteristic, complemented
18#20650C211yesmaximal, characteristic, complemented
19#20628C211yesmaximal, characteristic, complemented
20C22×#121C2211yescharacteristic
21C2×#518C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C22×#117C2211yescharacteristic
25#3094—28no—
26C2×#481C2212yes—
27C2×#482—28no—
28C2×#482C2212yes—
29C2×#482C2214yes—
30C2×#482C2214yes—
31C2×#482C2212yes—
32C2×#480C2212yes—
33C2×#428C2211yescharacteristic
34C2×#428C2211yescharacteristic
35C22×#107C2211yescharacteristic
36C22×#106C2211yescharacteristic
37C2×#424C2211yescharacteristic
38C2×#424C2211yescharacteristic
39C2×#418C2211yescharacteristic
40C2×#418C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×#102C2211yescharacteristic
43C2×#407C2211yescharacteristic
44C22×C22⋊C8C2211yescharacteristic
45#2363—22no—
46#2361—22no—
47#2342—22no—
48D4×C22⋊C4—22no—
49#2324C2214yes—
50#2317C2211yescharacteristic
51#2317C2211yescharacteristic
52#2317C2211yescharacteristic
53#2317C2211yescharacteristic
54#2317C2212yescomplemented
55#2317C2212yescomplemented
56#2316—22no—
57#2316C2211yescharacteristic
58#2315—22no—
59#2309C2211yescharacteristic
60C4×#121C2214yes—
61#2296—22no—
62#2296—22no—
63#2285C2212yescomplemented
64#2285C2212yescomplemented
65#2280C2211yescharacteristic
66#2274C2211yescharacteristic
67#2085C2214yescomplemented
68#2085C2214yescomplemented
69#2084C2214yescomplemented
70#2083C2214yescomplemented
71#2073C2214yescomplemented
72#2073C2214yescomplemented
73#2071C2214yescomplemented
74#2071C2214yescomplemented
75#1949C2214yescomplemented
76#1949C2214yescomplemented
77#1948C2214yescomplemented
78#1947C2214yescomplemented
79#1825C2212yescomplemented
80#1825C2214yescomplemented
81#1825C2214yescomplemented
82#1825C2212yescomplemented
83#1824C2212yescomplemented
84#1823C2212yescomplemented
85#1804C2214yescomplemented
86#1804C2214yescomplemented
87#1802C2214yescomplemented
88#1802C2214yescomplemented
89#1798C2214yescomplemented
90#1797C2214yescomplemented
91#1736C2211yescharacteristic
92#1736C2211yescharacteristic
93#1736C2211yescharacteristic
94#1736C2211yescharacteristic
95#1735C2211yescharacteristic
96#1735C2211yescharacteristic
97#1735C2211yescharacteristic
98#1735C2211yescharacteristic
99#1729C2211yescharacteristic
100#1729C2211yescharacteristic
101C23×D4—21no—
102C23×D4C2311yescharacteristic
103C24×C4C2311yescharacteristic
104C22×M16C2311yescharacteristic
105C22×M16C2311yescharacteristic
106C23×C8C2311yescharacteristic
107C23×C8C2311yescharacteristic
108C2×#121—21no—
109C2×#121—21no—
110C2×#121—24no—
111C2×#121D418yes—
112C2×#121C2312yes—
113C2×#121C2312yes—
114#518—24no—
115#518—24no—
116C2×C4×D4—24no—
117C2×C4×D4—22no—
118C2×C4×D4C2314yes—
119C2×#117—24no—
120C2×#117—24no—
121C2×#117—21no—
122C2×#117—21no—
123C2×#117—21no—
124C2×#117—21no—
125C2×#117—24no—
126C2×#117—24no—
127C2×#117—24no—
128C2×#117—24no—
129C2×#117D412yes—
130C2×#117D412yes—
131C2×#117C2311yescharacteristic
132C2×#117C2311yescharacteristic
133C2×#117C2311yescharacteristic
134C2×#117C2311yescharacteristic
135C2×#117C2312yes—
136C2×#117C2311yescharacteristic
137C2×#117C2312yes—
138C2×#117C2311yescharacteristic
139C2×#117C2311yescharacteristic
140C2×#117C2312yes—
141C2×#117C2311yescharacteristic
142C22×C4⋊C4D412yes—
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2311yescharacteristic
145C22×C4⋊C4C2311yescharacteristic
146C22×C4⋊C4C2311yescharacteristic
147C22×C4⋊C4C2311yescharacteristic
148C22×C22⋊C4—21no—
149C22×C22⋊C4—21no—
150C22×C22⋊C4—21no—
151C22×C22⋊C4—22no—
152C22×C22⋊C4D412yes—
153C22×C42—21no—
154C22×C42—21no—
155C22×C42C2312yes—
156#482—216no—
157#482—216no—
158#482—28no—
159#482—28no—
160#481—28no—
161#480—28no—
162#428—24no—
163#428—24no—
164C2×#107—24no—
165C2×#107C2312yes—
166C2×#107C2312yes—
167C2×#107C2314yes—
168C2×#106—24no—
169C2×#106C2314yes—
170C2×#106C2312yes—
171C2×#106C2312yes—
172#424—24no—
173#424—24no—
174C2×C4⋊C8C2314yes—
175C2×C4⋊C8C2314yes—
176#418—24no—
177#418—24no—
178C2×#102—24no—
179C2×#102—24no—
180C2×#102C2312yes—
181C2×#102C2312yes—
182C2×#102C2314yes—
183C2×#102C2314yes—
184C2×#102C2312yes—
185C2×#102C2312yes—
186#407—24no—
187C2×C22⋊C8—24no—
188C2×C22⋊C8C2312yes—
189C2×C22⋊C8C2312yes—
190C2×C22⋊C8C2312yes—
191C2×C22⋊C8C2312yes—
192#390—22no—
193#390—24no—
194#390C2314yes—
195#389—22no—
196#389—22no—
197#389—22no—
198#389—22no—
199#389—24no—
200#389—24no—
201#389—22no—
202#389C2314yes—
203#388—24no—
204#388—24no—
205#386—24no—
206#386—24no—
207#385—24no—
208#385—22no—
209#385—22no—
210#385—22no—
211#385—22no—
212#385—24no—
213#385—24no—
214#384C2312yes—
215#384C2312yes—
216#384C2312yes—
217#384C2312yes—
218#382C2312yes—
219#382C2312yes—
220#382C2312yes—
221#382C2312yes—
222#381—21no—
223#380—24no—
224#380—24no—
225#380—22no—
226#380C2312yes—
227#380C2312yes—
228#379—21no—
229#379—22no—
230C4×C4⋊C4—22no—
231C4×C4⋊C4—24no—
232C4×C4⋊C4—24no—
233C4×C4⋊C4C2314yes—
234C4×C22⋊C4—21no—
235C4×C22⋊C4—21no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—24no—
238#340C2312yes—
239#340C2312yes—
240#340C2314yes—
241#340C2314yes—
242#340C2312yes—
243#340C2312yes—
244#340C2312yes—
245#340C2312yes—
246#340C2314yes—
247#340C2314yes—
248#340C2312yes—
249#340C2312yes—
250#336C2314yes—
251#336C2314yes—
252C25—21no—
253C25C2×D411yescharacteristic
254C22×D4—22no—
255C22×D4—28no—
256C22×D4—22no—
257C22×D4—21no—
258C22×D4—22no—
259C22×D4—22no—
260C22×D4—22no—
261C22×D4—22no—
262C22×D4—22no—
263C22×D4—84no—
264C22×D4C2×D414yes—
265C22×D4C2412yes—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—21no—
275C23×C4—24no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D414yes—
280C23×C4C2×D414yes—
281C23×C4#4114yes—
282C23×C4C2411yescharacteristic
283C23×C4C2411yescharacteristic
284C23×C4C2411yescharacteristic
285C2×M16—22no—
286C2×M16—22no—
287C2×M16—22no—
288C2×M16—22no—
289C2×M16—22no—
290C2×M16—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—22no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8—22no—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301#121—28no—
302#121—28no—
303#121—24no—
304#121—24no—
305#121C2×D418yes—
306#121C2×D418yes—
307C4×D4—28no—
308C4×D4—28no—
309C4×D4—48no—
310C4×D4—88no—
311#117—22no—
312#117—22no—
313#117—28no—
314#117—28no—
315#117—24no—
316#117—24no—
317#117—22no—
318#117—22no—
319#117—24no—
320#117—24no—
321#117—22no—
322#117—22no—
323#117—24no—
324#117—24no—
325#117—22no—
326#117—22no—
327#117—22no—
328#117—22no—
329#117—22no—
330#117—22no—
331#117—22no—
332#117—22no—
333#117—44no—
334#117—44no—
335#117—44no—
336#117—44no—
337#117#4114yes—
338#117#4114yes—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—28no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—24no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—24no—
358C2×C4⋊C4—24no—
359C2×C4⋊C4C2×D414yes—
360C2×C4⋊C4C2×D412yes—
361C2×C4⋊C4C2×D414yes—
362C2×C4⋊C4C2×D412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2411yescharacteristic
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2411yescharacteristic
368C2×C4⋊C4C2411yescharacteristic
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C22⋊C4—28no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—28no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—24no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—24no—
388C2×C22⋊C4—24no—
389C2×C22⋊C4—44no—
390C2×C22⋊C4—44no—
391C2×C22⋊C4—48no—
392C2×C22⋊C4C2×D412yes—
393C2×C22⋊C4C2×D414yes—
394C2×C22⋊C4C2×D412yes—
395C2×C42—24no—
396C2×C42—24no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—21no—
405C2×C42—24no—
406C2×C42—44no—
407C2×C42—44no—
408C2×C42C2×D414yes—
409C2×C42C2412yes—
410C2×C42C2412yes—
411#107—28no—
412#107—24no—
413#107—24no—
414#106—28no—
415#106—24no—
416#106—24no—
417C4⋊C8—28no—
418C4⋊C8—28no—
419#102—28no—
420#102—28no—
421#102—24no—
422#102—24no—
423#102—24no—
424#102—24no—
425C22⋊C8—24no—
426C22⋊C8—24no—
427C22⋊C8—24no—
428C22⋊C8—24no—
429#95—22no—
430#95—24no—
431#95—24no—
432#95—22no—
433#95—24no—
434#95—24no—
435#95—24no—
436#95—24no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—24no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—82no—
446C24—82no—
447C24#12114yes—
448C24C22×D411yescharacteristic
449C24C22×D411yescharacteristic
450C24C22×D411yescharacteristic
451C2×D4—28no—
452C2×D4—28no—
453C2×D4—24no—
454C2×D4—28no—
455C2×D4—28no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—48no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—84no—
467C2×D4—816no—
468C2×D4C22×D414yes—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—28no—
476C22×C4—28no—
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—22no—
488C22×C4—24no—
489C22×C4—28no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—48no—
505C22×C4—84no—
506C22×C4—84no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4—82no—
512C22×C4#12114yes—
513C22×C4#12114yes—
514C22×C4#12114yes—
515C22×C4C22×D414yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D414yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D412yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4C2×#4112yes—
527C22×C4C2×#4112yes—
528C22×C42−1+412yes—
529C22×C42−1+412yes—
530C22×C4C2511yescharacteristic
531M16—44no—
532M16—44no—
533C2×C8—22no—
534C2×C8—22no—
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—44no—
546C2×C8—44no—
547C4⋊C4—24no—
548C4⋊C4—28no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—22no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—84no—
572C4⋊C4—84no—
573C4⋊C4—84no—
574C4⋊C4—84no—
575C4⋊C4—84no—
576C4⋊C4#12318yes—
577C4⋊C4C22×D414yes—
578C22⋊C4—24no—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—28no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—44no—
587C22⋊C4—42no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—48no—
592C22⋊C4—84no—
593C22⋊C4—84no—
594C22⋊C4—82no—
595C22⋊C4#12318yes—
596C42—28no—
597C42—22no—
598C42—22no—
599C42—44no—
600C42—42no—
601C42—42no—
602C42—44no—
603C42—42no—
604C42—42no—
605C42—42no—
606C42—42no—
607C42—84no—
608C42C2×#4114yes—
609C42C2×#4114yes—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—28no—
621C23—24no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—42no—
627C23—42no—
628C23—48no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—164no—
634C23—164no—
635C23C2×#12112yes—
636C23C2×#12112yes—
637C23C2×#12112yes—
638C23C2×#12312yes—
639C23#53612yes—
640C23C23×D411yescharacteristic
641D4—24no—
642D4—24no—
643D4—416no—
644D4—42no—
645D4—42no—
646D4—48no—
647D4—88no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—28no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—28no—
664C2×C4—28no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—88no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—168no—
695C2×C4C2×#12112yes—
696C2×C4C2×#12112yes—
697C2×C4C2×#12112yes—
698C2×C4C2×#12318yes—
699C2×C4C2×#12312yes—
700C2×C4#53612yes—
701C2×C4#54714yes—
702C2×C4#54714yes—
703C2×C4#55214yes—
704C2×C4#55214yes—
705C2×C4C23×D411yescharacteristic
706C2×C4C22×#4111yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C2×2−1+411yescharacteristic
710C2×C4C2×2−1+411yescharacteristic
711C8—42no—
712C8—42no—
713C8—42no—
714C8—42no—
715C22—22no—
716C22—22no—
717C22—24no—
718C22—24no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—88no—
733C22—84no—
734C22—84no—
735C22—168no—
736C22#248614yes—
737C22C22×#12111yescharacteristic
738C22C22×#12311yescharacteristic
739C22C2×#53611yescharacteristic
740C22#358412yes—
741C22#358512yes—
742C4—28no—
743C4—22no—
744C4—22no—
745C4—44no—
746C4—44no—
747C4—82no—
748C4—81no—
749C4—81no—
750C4—82no—
751C4—81no—
752C4—81no—
753C4—82no—
754C4—82no—
755C4#248614yes—
756C4C2×#54711yescharacteristic
757C4C2×#54711yescharacteristic
758C4C2×#55211yescharacteristic
759C4C2×#55211yescharacteristic
760C2—24no—
761C2—42no—
762C2—42no—
763C2—84no—
764C2C2×#248611yescharacteristic
765C2#6042211yescharacteristic
766C2#6042311yescharacteristic
767C2#6052312yes—
768C2#6087512yes—
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
4. #34052C2semidirect
5. #27655C2semidirect
6. #27654C2semidirect
7. #27650C2semidirect
8. #27646C2semidirect
9. #23661C2semidirect
10. #23660C2semidirect
11. #23632C2semidirect
12. #23632C2semidirect
13. #21174C2semidirect
14. #21173C2semidirect
15. #20701C2semidirect
16. #20699C2semidirect
17. #20650C2semidirect
18. #20650C2semidirect
19. #20628C2semidirect
54. #2317C22semidirect
55. #2317C22semidirect
63. #2285C22semidirect
64. #2285C22semidirect
67. #2085C22semidirect
68. #2085C22semidirect
69. #2084C22semidirect
70. #2083C22semidirect
71. #2073C22semidirect
72. #2073C22semidirect
73. #2071C22semidirect
74. #2071C22semidirect
75. #1949C22semidirect
76. #1949C22semidirect
77. #1948C22semidirect
78. #1947C22semidirect
79. #1825C22semidirect
80. #1825C22semidirect
81. #1825C22semidirect
82. #1825C22semidirect
83. #1824C22semidirect
84. #1823C22semidirect
85. #1804C22semidirect
86. #1804C22semidirect
87. #1802C22semidirect
88. #1802C22semidirect
89. #1798C22semidirect
90. #1797C22semidirect

Maximal subgroups

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

subgroupindex
C2×#30942
C22×#4822
#342042
#340522
#276552
#276542
#276502
#276462
#236612
#236602
#236322
#211742
#211732
#207012
#206992
#206502
#206282