Finite Group Databasebeta

← #6457229

Subgroups — #6457229

Order 512.

2264 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×#3096C212yesmaximal
2#34183C211yesmaximal, characteristic, complemented
3C4×#535C211yesmaximal, characteristic
4#27655C214yesmaximal, complemented
5#27654C214yesmaximal, complemented
6#27646C212yesmaximal, complemented
7#27646C212yesmaximal, complemented
8#27645C212yesmaximal, complemented
9#27644C212yesmaximal, complemented
10#23662C212yesmaximal, complemented
11#23632C212yesmaximal, complemented
12#21171C211yesmaximal, characteristic, complemented
13#21169C211yesmaximal, characteristic, complemented
14#20703C212yesmaximal, complemented
15#20646C211yesmaximal, characteristic, complemented
16C2×#1802C211yesmaximal, characteristic, complemented
17#20629C211yesmaximal, characteristic, complemented
18C2×#535C2211yescharacteristic
19C2×#520C2212yes—
20C2×C4×#41C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#3096—216no—
23C2×#481C2214yes—
24C2×#482C2214yes—
25C2×#482C2214yes—
26C2×#480C2214yes—
27C2×#428C2212yes—
28C2×#427C2212yes—
29C2×#423C2211yescharacteristic
30C22×C4⋊C8C2211yescharacteristic
31C2×#418C2212yes—
32C22×#102C2212yes—
33C2×#408C2212yes—
34Q8×C4⋊C4—21no—
35Q8×C4⋊C4—21no—
36D4×C4⋊C4—22no—
37D4×C4⋊C4—22no—
38D4×C4⋊C4—21no—
39D4×C4⋊C4—21no—
40#2328—21no—
41#2326—21no—
42#2324C2212yes—
43#2324C2212yes—
44#2321—22no—
45#2317C2211yescharacteristic
46#2317C2212yes—
47#2317C2214yescomplemented
48#2311C2211yescharacteristic
49#2309C2211yescharacteristic
50C4×#127—21no—
51C4×#124—21no—
52C4×#121C2212yes—
53C4×#121C2212yes—
54C4×#120—22no—
55#2285C2211yescharacteristic
56#2285C2212yescomplemented
57C2×#384C2211yescharacteristic
58C2×#384C2212yescomplemented
59C4×#117C2211yescharacteristic
60#2085C2214yescomplemented
61#2085C2214yescomplemented
62#2084C2214yescomplemented
63#2083C2214yescomplemented
64#2073C2214yes—
65#2073C2214yes—
66#2071C2214yes—
67#2071C2214yes—
68#1949C2212yescomplemented
69#1949C2212yescomplemented
70#1948C2212yescomplemented
71#1948C2211yescharacteristic, complemented
72#1948C2211yescharacteristic, complemented
73#1948C2212yescomplemented
74#1947C2212yescomplemented
75#1947C2211yescharacteristic, complemented
76#1947C2211yescharacteristic, complemented
77#1947C2212yescomplemented
78#1825C2214yescomplemented
79#1825C2214yescomplemented
80#1824C2214yescomplemented
81#1823C2214yescomplemented
82#1804C2214yes—
83#1802C2214yes—
84#1802C2212yes—
85#1802C2212yes—
86#1802C2212yes—
87#1802C2212yes—
88#1798C2214yescomplemented
89#1797C2212yescomplemented
90#1797C2212yescomplemented
91#1736C2212yes—
92#1736C2212yes—
93#1735C2212yes—
94C2×#340C2212yes—
95#1729C2212yes—
96C22×#41C2311yescharacteristic
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C22×M16C2312yes—
100C23×C8C2312yes—
101#535—24no—
102#535D418yes—
103C2×#127—21no—
104C2×#124—21no—
105C2×#121C2312yes—
106C2×#121C2312yes—
107C2×#120—22no—
108#520—28no—
109#520—28no—
110C4×#41—24no—
111C4×#41—24no—
112C2×C4×Q8—22no—
113C2×C4×Q8D411yescharacteristic
114C2×C4×Q8D411yescharacteristic
115C2×C4×D4—24no—
116C2×C4×D4—22no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4—24no—
122C2×C4×D4—24no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D412yes—
125C2×C4×D4D411yescharacteristic
126C2×C4×D4D412yes—
127C2×C4×D4C2312yes—
128C2×C4×D4C2312yes—
129C2×#117C2311yescharacteristic
130C2×#117C2312yes—
131C2×#117C2314yes—
132C2×#117C2311yescharacteristic
133C2×#117C2311yescharacteristic
134C2×#117C2312yes—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—22no—
138C22×C4⋊C4—22no—
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2314yes—
142C22×C22⋊C4—21no—
143C22×C42C2312yes—
144C22×C42C2311yescharacteristic
145#482—216no—
146#482—216no—
147#481—216no—
148#480—216no—
149#428—28no—
150#427—28no—
151C2×#107C2312yes—
152C2×#107C2314yes—
153C2×#107C2312yes—
154C2×#106C2312yes—
155C2×#106C2314yes—
156C2×#106C2312yes—
157#423—24no—
158C2×C4⋊C8—24no—
159C2×C4⋊C8C2311yescharacteristic
160C2×C4⋊C8C2311yescharacteristic
161C2×C4⋊C8C2312yes—
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2312yes—
164#418—28no—
165C2×#102—28no—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170#408—28no—
171C2×C22⋊C8C2314yes—
172C2×C22⋊C8C2314yes—
173#391—21no—
174#390—21no—
175#390—21no—
176#390—21no—
177#390—22no—
178#390—22no—
179#390C2312yes—
180#390C2312yes—
181#389—22no—
182#389—22no—
183#389—24no—
184#389—24no—
185#389C2312yes—
186#389C2312yes—
187#388—22no—
188#388—22no—
189#388—22no—
190#388—22no—
191#386—22no—
192#386—22no—
193#386—22no—
194#386—22no—
195#386—22no—
196#385—22no—
197#385—22no—
198#385—22no—
199#385—24no—
200#385—24no—
201#385—24no—
202#384—21no—
203#384—21no—
204#384—21no—
205#384—22no—
206#384—22no—
207#384C2312yes—
208#384C2312yes—
209#384C2311yescharacteristic
210#384C2311yescharacteristic
211#384C2314yes—
212#382—21no—
213#382C2312yes—
214#382C2314yes—
215#380—21no—
216#380—21no—
217#380—22no—
218#380—22no—
219#380C2312yes—
220#380C2312yes—
221#379—22no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—22no—
225C4×C4⋊C4—22no—
226C4×C4⋊C4C2311yescharacteristic
227C4×C4⋊C4C2311yescharacteristic
228C4×C4⋊C4C2311yescharacteristic
229C4×C4⋊C4C2311yescharacteristic
230C4×C22⋊C4—21no—
231C4×C22⋊C4—21no—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234#376—21no—
235C43—21no—
236#340C2314yes—
237#340C2314yes—
238#340C2314yes—
239#340C2314yes—
240#340C2312yes—
241#340C2312yes—
242#340C2314yes—
243#340C2314yes—
244#340C2312yes—
245#340C2312yes—
246#336C2314yes—
247#336C2314yes—
248C25—21no—
249C2×#41—22no—
250C2×#41—22no—
251C2×#41—22no—
252C2×#41—22no—
253C2×#41C2×D414yes—
254C2×#41#4114yes—
255C22×Q8C2×D411yescharacteristic
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—21no—
259C22×D4—22no—
260C22×D4—22no—
261C22×D4—22no—
262C22×D4—22no—
263C22×D4—22no—
264C22×D4C2×D414yes—
265C22×D4C2×D412yes—
266C22×D4C2×D411yescharacteristic
267C22×D4C2412yes—
268C23×C4—21no—
269C23×C4—24no—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—44no—
274C23×C4—82no—
275C23×C4—82no—
276C23×C4C2×D412yes—
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D411yescharacteristic
280C23×C4C2412yes—
281C23×C4C2411yescharacteristic
282C2×M16—24no—
283C2×M16—24no—
284C2×M16—24no—
285C22×C8—24no—
286C22×C8—24no—
287C22×C8—24no—
288C22×C8C2412yes—
289C22×C8C2412yes—
290C22×C8C2414yes—
291#127—28no—
292#124—28no—
293#121—24no—
294#121—24no—
295#121C2×D418yes—
296#121C2×D418yes—
297#120—216no—
298C4×Q8—24no—
299C4×Q8—24no—
300C4×Q8—48no—
301C4×D4—28no—
302C4×D4—28no—
303C4×D4—24no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—416no—
310C4×D4—48no—
311C4×D4—44no—
312C4×D4—44no—
313C4×D4—84no—
314C4×D4—84no—
315#117—22no—
316#117—22no—
317#117—22no—
318#117—24no—
319#117—24no—
320#117—24no—
321#117—28no—
322#117—28no—
323#117—24no—
324#117—22no—
325#117—22no—
326#117C2×D414yes—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—28no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—28no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—82no—
349C2×C4⋊C4—84no—
350C2×C4⋊C4—82no—
351C2×C4⋊C4—84no—
352C2×C4⋊C4C2×D411yescharacteristic
353C2×C4⋊C4C2×D411yescharacteristic
354C2×C4⋊C4C2×D412yes—
355C2×C4⋊C4C2×D412yes—
356C2×C4⋊C4C2414yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2411yescharacteristic
361C2×C4⋊C4C2411yescharacteristic
362C2×C4⋊C4C2411yescharacteristic
363C2×C4⋊C4C2411yescharacteristic
364C2×C22⋊C4—21no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—22no—
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—44no—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C22⋊C4C2×D412yes—
382C2×C42—21no—
383C2×C42—24no—
384C2×C42—24no—
385C2×C42—24no—
386C2×C42—22no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42C2×D412yes—
393C2×C42C2×D412yes—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42#4114yes—
397C2×C42#4114yes—
398C2×C42C2412yes—
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401#107—24no—
402#107—24no—
403#107—28no—
404#106—24no—
405#106—24no—
406#106—28no—
407C4⋊C8—22no—
408C4⋊C8—22no—
409C4⋊C8—24no—
410C4⋊C8—24no—
411C4⋊C8—24no—
412#102—28no—
413#102—28no—
414#102—28no—
415#102—28no—
416C22⋊C8—28no—
417C22⋊C8—28no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—21no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—24no—
427#95—24no—
428#95—22no—
429#95—22no—
430C24—22no—
431C24—24no—
432C24—42no—
433C24—42no—
434C24—81no—
435C24—81no—
436C24—81no—
437C24—81no—
438C24C22×D412yes—
439C24C22×D411yescharacteristic
440#41—28no—
441#41—28no—
442#41—28no—
443#41—28no—
444C2×Q8—22no—
445C2×Q8—22no—
446C2×Q8#12114yes—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—28no—
450C2×D4—28no—
451C2×D4—24no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—28no—
455C2×D4—28no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—82no—
466C2×D4—82no—
467C2×D4—82no—
468C2×D4—82no—
469C2×D4#12118yes—
470C2×D4#12114yes—
471C2×D4C22×D414yes—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—41no—
491C22×C4—42no—
492C22×C4—41no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—48no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—82no—
502C22×C4—82no—
503C22×C4—816no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4—82no—
507C22×C4—84no—
508C22×C4—82no—
509C22×C4—84no—
510C22×C4#12314yes—
511C22×C4#12314yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D414yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C2×#4114yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C42−1+412yes—
527C22×C42−1+412yes—
528C22×C4C2511yescharacteristic
529M16—48no—
530C2×C8—22no—
531C2×C8—24no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—24no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—24no—
539C2×C8—48no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—48no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4—84no—
570C4⋊C4—84no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4C22×D412yes—
574C4⋊C4C22×D412yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—28no—
578C22⋊C4—28no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—48no—
582C22⋊C4—44no—
583C22⋊C4—42no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C42—24no—
593C42—24no—
594C42—24no—
595C42—22no—
596C42—22no—
597C42—48no—
598C42—44no—
599C42—42no—
600C42—42no—
601C42—42no—
602C42—81no—
603C42—81no—
604C42#12314yes—
605C42#12314yes—
606C42C2×#4112yes—
607C42C2×#4112yes—
608C42C2×#4112yes—
609C42C2×#4112yes—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—24no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—48no—
626C23—42no—
627C23—42no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23C2×#12114yes—
635C23C2×#12112yes—
636C23C2×#12312yes—
637C23#53612yes—
638C23C23×D411yescharacteristic
639Q8—28no—
640D4—216no—
641D4—24no—
642D4—24no—
643D4—28no—
644D4—42no—
645D4—42no—
646D4—48no—
647D4—88no—
648D4—88no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—48no—
677C2×C4—41no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—88no—
696C2×C4—84no—
697C2×C4—88no—
698C2×C4—164no—
699C2×C4—168no—
700C2×C4C2×#12114yes—
701C2×C4C2×#12112yes—
702C2×C4C2×#12312yes—
703C2×C4C2×#12312yes—
704C2×C4C2×#12312yes—
705C2×C4C2×#12312yes—
706C2×C4C2×#12312yes—
707C2×C4#53612yes—
708C2×C4#54714yes—
709C2×C4#54714yes—
710C2×C4#55214yes—
711C2×C4#55214yes—
712C2×C4#57612yes—
713C2×C4#57712yes—
714C2×C4C23×D411yescharacteristic
715C2×C4C22×#4111yescharacteristic
716C2×C4C22×#4111yescharacteristic
717C2×C4C22×#4111yescharacteristic
718C2×C4C2×2−1+411yescharacteristic
719C2×C4C2×2−1+411yescharacteristic
720C8—42no—
721C8—42no—
722C8—44no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—24no—
730C22—24no—
731C22—24no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—816no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22#248614yes—
745C22C22×#12111yescharacteristic
746C22C22×#12311yescharacteristic
747C22C2×#53611yescharacteristic
748C22C2×#57611yescharacteristic
749C22C2×#57711yescharacteristic
750C22#358511yescharacteristic
751C22#358611yescharacteristic
752C4—22no—
753C4—22no—
754C4—22no—
755C4—24no—
756C4—42no—
757C4—42no—
758C4—42no—
759C4—42no—
760C4—84no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—81no—
765C4—81no—
766C4#248614yes—
767C4#309614yescomplemented
768C4C2×#54711yescharacteristic
769C4C2×#54711yescharacteristic
770C4C2×#55211yescharacteristic
771C4C2×#55211yescharacteristic
772C2—24no—
773C2—44no—
774C2—84no—
775C2C2×#248611yescharacteristic
776C2#6042811yescharacteristic
777C2#6042911yescharacteristic
778C2C2×#309611yescharacteristic
779C2#6051711yescharacteristic
780C2#6088811yescharacteristic
781C2#6089211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#535C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34183C2semidirect
4. #27655C2semidirect
5. #27654C2semidirect
6. #27646C2semidirect
7. #27646C2semidirect
8. #27645C2semidirect
9. #27644C2semidirect
10. #23662C2semidirect
11. #23632C2semidirect
12. #21171C2semidirect
13. #21169C2semidirect
14. #20703C2semidirect
15. #20646C2semidirect
16. C2×#1802C2semidirect
17. #20629C2semidirect
47. #2317C22semidirect
56. #2285C22semidirect
58. C2×#384C22semidirect
60. #2085C22semidirect
61. #2085C22semidirect
62. #2084C22semidirect
63. #2083C22semidirect
68. #1949C22semidirect
69. #1949C22semidirect
70. #1948C22semidirect
71. #1948C22semidirect
72. #1948C22semidirect
73. #1948C22semidirect
74. #1947C22semidirect
75. #1947C22semidirect
76. #1947C22semidirect
77. #1947C22semidirect
78. #1825C22semidirect
79. #1825C22semidirect
80. #1824C22semidirect
81. #1823C22semidirect
88. #1798C22semidirect
89. #1797C22semidirect
90. #1797C22semidirect
767. C4#3096semidirect

Maximal subgroups

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

subgroupindex
C2×#30962
#341832
C4×#5352
#276552
#276542
#276462
#276452
#276442
#236622
#236322
#211712
#211692
#207032
#206462
C2×#18022
#206292