Finite Group Databasebeta

← #10831088

Subgroups — #10831088

Order 768.

1432 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#908C211yesmaximal, characteristic, complemented
2C3×#2930C211yesmaximal, characteristic, complemented
3C2×#5142C211yesmaximal, characteristic, complemented
4C2×#5141C211yesmaximal, characteristic, complemented
5#82928C211yesmaximal, characteristic, complemented
6#82927C211yesmaximal, characteristic, complemented
7#72000C211yesmaximal, characteristic, complemented
8#70541C211yesmaximal, characteristic, complemented
9#70540C211yesmaximal, characteristic, complemented
10#70007C211yesmaximal, characteristic, complemented
11#70006C211yesmaximal, characteristic, complemented
12#69989C211yesmaximal, characteristic, complemented
13#69988C211yesmaximal, characteristic, complemented
14#69903C211yesmaximal, characteristic, complemented
15#69902C211yesmaximal, characteristic, complemented
16#24284—31nomaximal, Sylow
17C22×#235C2211yescharacteristic
18C23×D12C2211yescharacteristic
19C2×C3×#131C2211yescharacteristic, complemented
20C22×C3×M16C2211yescharacteristic
21C3×#525C2211yescharacteristic
22C2×#951C2211yescharacteristic, complemented
23C2×#949C2211yescharacteristic
24C2×#949C2211yescharacteristic
25C2×#949C2211yescharacteristic, complemented
26C2×#908—22no—
27C2×#908—22no—
28C2×#908—24no—
29C2×#908—24no—
30C22×D24C2211yescharacteristic
31C22×D24C2211yescharacteristic
32C22×#204C2211yescharacteristic
33C22×#204C2211yescharacteristic
34C3×#436—22no—
35C3×#435—22no—
36C3×#424C2211yescharacteristic, complemented
37C3×#408C2211yescharacteristic, complemented
38C3×#407C2211yescharacteristic
39C3×#405C2211yescharacteristic, complemented
40#5207C2211yescharacteristic
41#5207C2211yescharacteristic
42#5142—24no—
43#5141—24no—
44C2×#824C2211yescharacteristic, complemented
45C2×#824C2211yescharacteristic, complemented
46C2×#823C2211yescharacteristic
47C2×#823C2211yescharacteristic
48C2×#823C2211yescharacteristic
49C2×#823C2211yescharacteristic
50C2×#823C2211yescharacteristic, complemented
51C2×#823C2211yescharacteristic, complemented
52C2×#819C2211yescharacteristic, complemented
53C2×#819C2211yescharacteristic, complemented
54#5047—22no—
55#5046—22no—
56#5037—22no—
57#5036—22no—
58#5004C2211yescharacteristic, complemented
59#5001C2211yescharacteristic
60#5001C2211yescharacteristic
61#5001C2211yescharacteristic, complemented
62#4552C2211yescharacteristic, complemented
63#4552C2211yescharacteristic, complemented
64C22×AGL(1,ℤ/8)—31no—
65C2×#472—31no—
66C2×#471—31no—
67#3005—31no—
68#3003—31no—
69#2930D311yescharacteristic, complemented
70#2046—31no—
71#2045—31no—
72#2019—31no—
73#2018—31no—
74#1978—31no—
75#1977—31no—
76#1811—31no—
77#1785—31no—
78#1783—31no—
79C24×D3—21no—
80C2×C3×#41C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C22×#67—21no—
83C2×#235—22no—
84C2×#235—22no—
85C2×#235—22no—
86C2×#235—22no—
87C2×#235—41no—
88C2×#235—41no—
89C22×D12—22no—
90C22×D12—22no—
91C22×D12—22no—
92C22×D12—22no—
93C22×D12—21no—
94C22×D12—41no—
95C22×D12—41no—
96C22×D12C2311yescharacteristic
97C22×D12C2311yescharacteristic
98C22×D12C2311yescharacteristic
99C22×C4×D3—21no—
100C22×Dic6C2311yescharacteristic
101C3×#131—22no—
102C3×#131—22no—
103C2×C3×M16—22no—
104C2×C3×M16—22no—
105C2×C3×M16—21no—
106C2×C3×M16D412yes—
107C2×C3×M16D412yes—
108C2×C3×M16C2311yescharacteristic
109C2×C3×M16C2311yescharacteristic
110C22×C3×C8—21no—
111C22×C3×C8C2311yescharacteristic
112C22×C3×C8C2311yescharacteristic
113C3×#123—21no—
114C3×C22⋊Q8D412yes—
115C3×#121D412yes—
116C3×#120—21no—
117C3×C4×D4—22no—
118C3×#117C2311yescharacteristic
119#951—22no—
120#951—41no—
121#949—22no—
122#949—22no—
123#949—22no—
124#949—41no—
125#949—41no—
126#949—41no—
127C2×#216—21no—
128C2×#215—21no—
129C2×#215—21no—
130C2×#215—21no—
131C2×#214—21no—
132C2×#213—21no—
133C2×#213—21no—
134C2×#213—21no—
135C2×#208C2311yescharacteristic
136C2×#208C2311yescharacteristic
137C2×#208C2311yescharacteristic
138C2×#208C2311yescharacteristic
139#908—216no—
140#908—216no—
141C2×D24—22no—
142C2×D24—22no—
143C2×D24—22no—
144C2×D24—22no—
145C2×D24—21no—
146C2×D24—21no—
147C2×D24D414yescomplemented
148C2×#204—22no—
149C2×#204—22no—
150C2×#204—22no—
151C2×#204—22no—
152C2×#204—21no—
153C2×#204—21no—
154C2×#204D414yescomplemented
155C3×C4⋊C8—22no—
156C3×C22⋊C8—22no—
157C3×C22⋊C8—22no—
158C3×#97—21no—
159C3×C4×C8—21no—
160#830—22no—
161#830—22no—
162#824—22no—
163#824—41no—
164#823—22no—
165#823—22no—
166#823—22no—
167#823—41no—
168#823—41no—
169#823—41no—
170#819—22no—
171#819—22no—
172#810—22no—
173#809—22no—
174#809—22no—
175#809—22no—
176C22×#41—31no—
177C23×D4—31no—
178C2×#137—31no—
179C2×AGL(1,ℤ/8)—31no—
180C2×AGL(1,ℤ/8)—31no—
181C2×AGL(1,ℤ/8)—31no—
182C2×AGL(1,ℤ/8)—64no—
183C2×AGL(1,ℤ/8)—64no—
184C2×AGL(1,ℤ/8)—62no—
185C2×AGL(1,ℤ/8)—62no—
186C22×SD16—31no—
187C22×SD16—31no—
188C22×D8—31no—
189C22×D8—31no—
190C2×#131C2×D311yescharacteristic, complemented
191C22×M16C2×D311yescharacteristic
192#525C2×D311yescharacteristic
193#472—64no—
194#471—64no—
195#452—62no—
196#450—62no—
197#449—62no—
198#447—62no—
199#436—22no—
200#435—22no—
201C2×#108—31no—
202C2×#108—31no—
203#424C2×D311yescharacteristic, complemented
204#419—31no—
205#418—31no—
206#418—31no—
207#418—31no—
208C2×#101—31no—
209C2×#101—31no—
210C2×#100—31no—
211C2×#100—31no—
212C2×#100—31no—
213C2×#100—31no—
214C2×#100—31no—
215C2×#100—31no—
216#408C2×D311yescharacteristic, complemented
217#407—31no—
218#407—31no—
219#407C2×D311yescharacteristic
220#405C2×D311yescharacteristic, complemented
221#341—31no—
222#341—31no—
223C24×C3#4111yescharacteristic
224C23×D3—21no—
225C23×D3—21no—
226C23×D3—21no—
227C23×D3—42no—
228C23×D3—42no—
229C23×D3—42no—
230C23×D3—84no—
231C3×#41—21no—
232C3×#41—21no—
233C3×#41—21no—
234C3×#41—21no—
235C2×C3×Q8C2×D411yescharacteristic
236C2×C3×D4—21no—
237C2×C3×D4—22no—
238C2×C3×D4C2×D411yescharacteristic
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4C2×D412yes—
245C22×C3×C4C2×D412yes—
246C22×C3×C4#4111yescharacteristic
247C22×C3×C4C2411yescharacteristic
248C2×#67—42no—
249C2×#67—42no—
250C2×#67—42no—
251C22×Dic3—21no—
252#235—28no—
253#235—44no—
254#235—44no—
255#235—44no—
256C2×D12—28no—
257C2×D12—21no—
258C2×D12—21no—
259C2×D12—21no—
260C2×D12—21no—
261C2×D12—21no—
262C2×D12—21no—
263C2×D12—21no—
264C2×D12—21no—
265C2×D12—21no—
266C2×D12—21no—
267C2×D12—21no—
268C2×D12—21no—
269C2×D12—21no—
270C2×D12—21no—
271C2×D12—21no—
272C2×D12—44no—
273C2×D12—44no—
274C2×D12—42no—
275C2×D12—42no—
276C2×D12—44no—
277C2×D12—42no—
278C2×D12C2×D412yes—
279C2×D12C2×D412yes—
280C2×D12C2×D412yes—
281C2×C4×D3—42no—
282C2×C4×D3—42no—
283C2×C4×D3—42no—
284C2×Dic6—21no—
285C2×Dic6—21no—
286C2×Dic6—21no—
287C2×Dic6—21no—
288C2×Dic6—21no—
289C2×Dic6C2×D412yes—
290C3×M16—24no—
291C3×M16—24no—
292C3×M16—21no—
293C3×M16—21no—
294C3×M16—21no—
295C3×M16—21no—
296C3×M16—42no—
297C2×C3×C8—21no—
298C2×C3×C8—21no—
299C2×C3×C8—21no—
300C2×C3×C8—21no—
301C2×C3×C8—42no—
302C2×C3×C8C2×D412yes—
303C2×C3×C8C2×D412yes—
304C2×C3×C8C2×D412yes—
305C2×C3×C8C2×D411yescharacteristic
306C2×C3×C8C2×D411yescharacteristic
307C3×C4⋊C4—22no—
308C3×C4⋊C4C2×D412yes—
309C3×C22⋊C4—22no—
310C3×C22⋊C4—21no—
311C3×C22⋊C4—22no—
312C3×C42—21no—
313#216—42no—
314#215—42no—
315#215—42no—
316#215—42no—
317#214—42no—
318#213—42no—
319#213—42no—
320#213—42no—
321#208—21no—
322#208—21no—
323#208—21no—
324#208—21no—
325#208—21no—
326#208—21no—
327#208—21no—
328#208—21no—
329C2×C3⋊C8—21no—
330C2×C3⋊C8—21no—
331C2×C3⋊C8—21no—
332C2×C3⋊C8—21no—
333D24—28no—
334D24—24no—
335D24—24no—
336#204—28no—
337#204—24no—
338#204—24no—
339C25—61no—
340C2×#41—62no—
341C2×#41—62no—
342C2×#41—62no—
343C2×#41—62no—
344C2×#41—121no—
345C2×#41—121no—
346C2×#41C22×D311yescharacteristic
347C22×Q8—31no—
348C22×D4—31no—
349C22×D4—31no—
350C22×D4—31no—
351C22×D4—62no—
352C22×D4—62no—
353C22×D4—61no—
354C22×D4—62no—
355C22×D4—61no—
356C22×D4—62no—
357C22×D4—121no—
358C22×D4—121no—
359C23×C4—61no—
360C23×C4C22×D311yescharacteristic
361#137—62no—
362#137—121no—
363AGL(1,ℤ/8)—616no—
364AGL(1,ℤ/8)—616no—
365AGL(1,ℤ/8)—62no—
366AGL(1,ℤ/8)—62no—
367AGL(1,ℤ/8)—62no—
368AGL(1,ℤ/8)—121no—
369AGL(1,ℤ/8)—121no—
370AGL(1,ℤ/8)—121no—
371C2×Q16—61no—
372C2×SD16—34no—
373C2×SD16—62no—
374C2×SD16—62no—
375C2×SD16—61no—
376C2×SD16—61no—
377C2×SD16—61no—
378C2×SD16—61no—
379C2×SD16—62no—
380C2×SD16—62no—
381C2×SD16—61no—
382C2×SD16—61no—
383C2×D8—34no—
384C2×D8—62no—
385C2×D8—62no—
386C2×D8—61no—
387C2×D8—61no—
388C2×D8—61no—
389C2×D8—62no—
390C2×D8—62no—
391C2×D8—61no—
392C2×D8—61no—
393#131—22no—
394#131—22no—
395C2×M16—22no—
396C2×M16—22no—
397C2×M16—21no—
398C2×M16—31no—
399C2×M16—31no—
400C2×M16—31no—
401C2×M16—31no—
402C2×M16#6712yes—
403C2×M16#6712yes—
404C2×M16C22×D311yescharacteristic
405C2×M16C22×D311yescharacteristic
406C22×C8—21no—
407C22×C8C22×D311yescharacteristic
408C22×C8C22×D311yescharacteristic
409#123—21no—
410C22⋊Q8D1212yes—
411#121D1212yes—
412#120—21no—
413C4×D4—22no—
414#117C22×D311yescharacteristic
415#108—62no—
416#108—62no—
417C4⋊C8—22no—
418#103—62no—
419#102—62no—
420#102—62no—
421#102—62no—
422#101—62no—
423#101—121no—
424#100—62no—
425#100—62no—
426#100—62no—
427#100—121no—
428#100—121no—
429#100—121no—
430C22⋊C8—22no—
431C22⋊C8—22no—
432C22⋊C8—62no—
433C22⋊C8—62no—
434#97—21no—
435C4×C8—21no—
436C23×C3—21no—
437C23×C3—21no—
438C23×C3—21no—
439C23×C3—42no—
440C23×C3#12112yes—
441C23×C3C2×#4111yescharacteristic
442C22×D3—22no—
443C22×D3—22no—
444C22×D3—22no—
445C22×D3—48no—
446C22×D3—41no—
447C22×D3—41no—
448C22×D3—41no—
449C22×D3—41no—
450C22×D3—41no—
451C22×D3—41no—
452C22×D3—84no—
453C22×D3—84no—
454C22×D3—88no—
455C22×D3—88no—
456C22×D3—82no—
457C22×D3—82no—
458C22×D3—82no—
459C3×Q8—21no—
460C3×Q8—21no—
461C3×D4—21no—
462C3×D4—21no—
463C3×D4—41no—
464C3×D4—41no—
465C3×D4—82no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—22no—
469C2×C3×C4—22no—
470C2×C3×C4—22no—
471C2×C3×C4—22no—
472C2×C3×C4—22no—
473C2×C3×C4—21no—
474C2×C3×C4—41no—
475C2×C3×C4—41no—
476C2×C3×C4#12112yes—
477C2×C3×C4C22×D411yescharacteristic
478C2×C3×C4C22×D411yescharacteristic
479C2×C3×C4C22×D411yescharacteristic
480C2×C3×C4C22×D411yescharacteristic
481C2×C3×C4H(5,𝔽2)11yescharacteristic
482C2×C3×C4H(5,𝔽2)11yescharacteristic
483#67—48no—
484C2×Dic3—22no—
485C2×Dic3—41no—
486C2×Dic3—41no—
487D12—22no—
488D12—22no—
489D12—22no—
490D12—22no—
491D12—22no—
492D12—22no—
493D12—48no—
494D12—41no—
495D12—41no—
496D12—41no—
497D12—41no—
498D12—41no—
499D12—41no—
500C4×D3—48no—
501Dic6—22no—
502Dic6—22no—
503Dic6—41no—
504Dic6—41no—
505C3×C8—22no—
506C3×C8—41no—
507C3×C8—41no—
508C3×C8#12012yes—
509C3×C8#12012yes—
510C3⋊C8—41no—
511C3⋊C8—41no—
512C3⋊C8—41no—
513C3⋊C8—41no—
514C24—61no—
515C24—61no—
516C24—61no—
517C24—122no—
518C24—122no—
519C24—122no—
520C24—244no—
521C24#23511yescharacteristic
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—68no—
527#41—124no—
528#41—124no—
529#41—124no—
530C2×Q8—32no—
531C2×Q8—61no—
532C2×Q8—61no—
533C2×Q8—61no—
534C2×Q8—61no—
535C2×Q8—61no—
536C2×Q8C2×D1211yescharacteristic
537C2×D4—21no—
538C2×D4—22no—
539C2×D4—32no—
540C2×D4—32no—
541C2×D4—32no—
542C2×D4—68no—
543C2×D4—61no—
544C2×D4—61no—
545C2×D4—61no—
546C2×D4—61no—
547C2×D4—61no—
548C2×D4—61no—
549C2×D4—61no—
550C2×D4—61no—
551C2×D4—61no—
552C2×D4—61no—
553C2×D4—61no—
554C2×D4—61no—
555C2×D4—61no—
556C2×D4—61no—
557C2×D4—61no—
558C2×D4—124no—
559C2×D4—124no—
560C2×D4—122no—
561C2×D4—122no—
562C2×D4—124no—
563C2×D4—122no—
564C2×D4—122no—
565C2×D4—122no—
566C2×D4—122no—
567C2×D4C2×D1211yescharacteristic
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—61no—
574C22×C4—122no—
575C22×C4—122no—
576C22×C4—122no—
577C22×C4C2×D1212yes—
578C22×C4#23511yescharacteristic
579C22×C4C2×#6712yes—
580C22×C4C23×D311yescharacteristic
581Q16—122no—
582SD16—68no—
583SD16—64no—
584SD16—64no—
585SD16—122no—
586SD16—122no—
587SD16—122no—
588SD16—122no—
589D8—68no—
590D8—64no—
591D8—64no—
592D8—122no—
593D8—122no—
594D8—122no—
595M16—24no—
596M16—24no—
597M16—21no—
598M16—21no—
599M16—21no—
600M16—21no—
601M16—42no—
602M16—61no—
603M16—61no—
604M16—61no—
605M16—61no—
606M16—61no—
607M16—61no—
608M16—61no—
609M16—61no—
610C2×C8—21no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—21no—
614C2×C8—42no—
615C2×C8—61no—
616C2×C8—61no—
617C2×C8—61no—
618C2×C8—61no—
619C2×C8D3×D412yes—
620C2×C8D3×D412yes—
621C2×C8C2×#6712yes—
622C2×C8C2×#6711yescharacteristic
623C2×C8C2×#6711yescharacteristic
624C4⋊C4—22no—
625C4⋊C4C2×D1212yes—
626C22⋊C4—22no—
627C22⋊C4—21no—
628C22⋊C4—22no—
629C42—21no—
630C22×C3—22no—
631C22×C3—22no—
632C22×C3—22no—
633C22×C3—22no—
634C22×C3—42no—
635C22×C3—42no—
636C22×C3—41no—
637C22×C3—42no—
638C22×C3C2×#12111yescharacteristic
639C22×C3#54611yescharacteristic
640C22×C3#54611yescharacteristic
641C2×D3—42no—
642C2×D3—42no—
643C2×D3—42no—
644C2×D3—82no—
645C2×D3—82no—
646C2×D3—82no—
647C2×D3—816no—
648C2×D3—82no—
649C2×D3—82no—
650C2×D3—82no—
651C2×D3—82no—
652C2×D3—82no—
653C2×D3—82no—
654C3×C4—22no—
655C3×C4—41no—
656C3×C4—42no—
657C3×C4C2×#12011yescharacteristic
658C3×C4#53511yescharacteristic
659C3×C4D4211yescharacteristic
660C3×C4D4211yescharacteristic
661Dic3—42no—
662C23—21no—
663C23—21no—
664C23—21no—
665C23—42no—
666C23—62no—
667C23—62no—
668C23—62no—
669C23—128no—
670C23—121no—
671C23—121no—
672C23—121no—
673C23—121no—
674C23—121no—
675C23—121no—
676C23—242no—
677C23—242no—
678C23—242no—
679C23—244no—
680C23—244no—
681C23—248no—
682C23—248no—
683C23#93012yes—
684C23C2×#23511yescharacteristic
685Q8—21no—
686Q8—21no—
687Q8—62no—
688Q8—62no—
689Q8—121no—
690Q8—121no—
691D4—21no—
692D4—21no—
693D4—41no—
694D4—41no—
695D4—62no—
696D4—62no—
697D4—62no—
698D4—62no—
699D4—62no—
700D4—62no—
701D4—82no—
702D4—128no—
703D4—128no—
704D4—121no—
705D4—121no—
706D4—121no—
707D4—121no—
708D4—121no—
709D4—121no—
710C2×C4—21no—
711C2×C4—21no—
712C2×C4—22no—
713C2×C4—22no—
714C2×C4—22no—
715C2×C4—22no—
716C2×C4—22no—
717C2×C4—21no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—62no—
721C2×C4—128no—
722C2×C4—121no—
723C2×C4—121no—
724C2×C4#93012yes—
725C2×C4C22×D1211yescharacteristic
726C2×C4C2×D3×D411yescharacteristic
727C2×C4C2×D3×D411yescharacteristic
728C2×C4#100911yescharacteristic
729C2×C4#100911yescharacteristic
730C2×C4C22×#6711yescharacteristic
731C8—22no—
732C8—41no—
733C8—41no—
734C8—121no—
735C8—121no—
736C8—121no—
737C8—121no—
738C8#93712yes—
739C8#93712yes—
740C2×C3—21no—
741C2×C3—21no—
742C2×C3—42no—
743C2×C3—81no—
744C2×C3#240811yescharacteristic
745C2×C3#306812yes—
746D3—82no—
747D3—82no—
748D3—82no—
749C22—22no—
750C22—22no—
751C22—22no—
752C22—22no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—41no—
757C22—122no—
758C22—122no—
759C22—122no—
760C22—242no—
761C22—242no—
762C22—242no—
763C22—242no—
764C22—242no—
765C22—242no—
766C22—2416no—
767C22—242no—
768C22—242no—
769C22—242no—
770C22#555011yescharacteristic
771C22#555011yescharacteristic
772C22C2×#93011yescharacteristic
773C4—22no—
774C4—42no—
775C4—41no—
776C4—122no—
777C4D4×D1211yescharacteristic
778C4D4×D1211yescharacteristic
779C4C2×#93711yescharacteristic
780C4#583011yescharacteristic
781C3#2428411yescharacteristic, complemented, Sylow
782C2—21no—
783C2—21no—
784C2—42no—
785C2—81no—
786C2—242no—
787C2—242no—
788C2—242no—
789C2#8240311yescharacteristic
790C2#8381412yes—
subgroupG/H
centerC22C2×#930
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2930C2
socleC22×C3C2×#121
hypercenter#2930D3
hypocenterC3#24284
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2930

Complements

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

NH ≅ G/Ntype
1. C22×#908C2semidirect
2. C3×#2930C2semidirect
3. C2×#5142C2semidirect
4. C2×#5141C2semidirect
5. #82928C2semidirect
6. #82927C2semidirect
7. #72000C2semidirect
8. #70541C2semidirect
9. #70540C2semidirect
10. #70007C2semidirect
11. #70006C2semidirect
12. #69989C2semidirect
13. #69988C2semidirect
14. #69903C2semidirect
15. #69902C2semidirect
19. C2×C3×#131C22semidirect
22. C2×#951C22semidirect
25. C2×#949C22semidirect
36. C3×#424C22semidirect
37. C3×#408C22semidirect
39. C3×#405C22semidirect
44. C2×#824C22semidirect
45. C2×#824C22semidirect
50. C2×#823C22semidirect
51. C2×#823C22semidirect
52. C2×#819C22semidirect
53. C2×#819C22semidirect
58. #5004C22semidirect
61. #5001C22semidirect
62. #4552C22semidirect
63. #4552C22semidirect
69. #2930D3semidirect
147. C2×D24D4semidirect
154. C2×#204D4semidirect
190. C2×#131C2×D3semidirect
203. #424C2×D3semidirect
216. #408C2×D3semidirect
220. #405C2×D3semidirect
781. C3#24284semidirect

Maximal subgroups

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

subgroupindex
C22×#9082
C3×#29302
C2×#51422
C2×#51412
#829282
#829272
#720002
#705412
#705402
#700072
#700062
#699892
#699882
#699032
#699022
#242843