Finite Group Databasebeta

← #10831087

Subgroups — #10831087

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×#949C211yesmaximal, characteristic, complemented
2#84081C211yesmaximal, characteristic, complemented
3C2×#4754C211yesmaximal, characteristic, complemented
4C2×#4749C211yesmaximal, characteristic, complemented
5#78637C211yesmaximal, characteristic, complemented
6#78627C211yesmaximal, characteristic, complemented
7C3×#1785C211yesmaximal, characteristic, complemented
8#70118C211yesmaximal, characteristic, complemented
9#70117C211yesmaximal, characteristic, complemented
10#70107C211yesmaximal, characteristic, complemented
11#70090C211yesmaximal, characteristic, complemented
12#70083C211yesmaximal, characteristic, complemented
13#70074C211yesmaximal, characteristic, complemented
14#69988C211yesmaximal, characteristic, complemented
15#69983C211yesmaximal, characteristic, complemented
16#24284—31nomaximal, Sylow
17C22×C3×#41C2211yescharacteristic
18C23×D12C2211yescharacteristic
19C2×#949—24no—
20C2×#949—24no—
21C2×#949—22no—
22C2×#949—22no—
23C2×#942C2211yescharacteristic, complemented
24C22×#215C2211yescharacteristic
25C22×#215C2211yescharacteristic
26C2×#932C2211yescharacteristic, complemented
27C22×#213C2211yescharacteristic
28C22×#213C2211yescharacteristic
29#5791C2211yescharacteristic
30C22×#208C2211yescharacteristic
31C2×#908C2211yescharacteristic
32C2×#908C2211yescharacteristic
33C2×#907C2211yescharacteristic, complemented
34C2×C3×#101C2211yescharacteristic, complemented
35C2×C3×#101C2211yescharacteristic, complemented
36C2×C3×#100C2211yescharacteristic, complemented
37C2×C3×#100C2211yescharacteristic, complemented
38C3×#407C2211yescharacteristic
39C3×#407C2211yescharacteristic
40#5239—22no—
41#5238—22no—
42#5225C2211yescharacteristic, complemented
43#5215C2211yescharacteristic, complemented
44#5207C2211yescharacteristic
45#5131C2211yescharacteristic
46#5131C2211yescharacteristic
47C2×#823C2211yescharacteristic
48C2×#823C2211yescharacteristic
49C2×#823C2211yescharacteristic
50C2×#823C2211yescharacteristic
51#5129C2211yescharacteristic, complemented
52C2×#822C2211yescharacteristic, complemented
53C2×#822C2211yescharacteristic, complemented
54#5122C2211yescharacteristic, complemented
55#5119C2211yescharacteristic, complemented
56#4754—24no—
57#4749—24no—
58#4732—22no—
59#4731—22no—
60#4729—22no—
61#4728—22no—
62#4558C2211yescharacteristic, complemented
63#4558C2211yescharacteristic, complemented
64C22×AGL(1,ℤ/8)—31no—
65C2×#472—31no—
66C2×#471—31no—
67#3005—31no—
68#3003—31no—
69#2930—31no—
70#2046—31no—
71#2045—31no—
72#2019—31no—
73#2018—31no—
74#1978—31no—
75#1977—31no—
76#1811—31no—
77#1785D311yescharacteristic, complemented
78#1783—31no—
79C24×D3—21no—
80C2×C3×#41—22no—
81C2×C3×#41—22no—
82C2×C3×#41—22no—
83C2×C3×#41—22no—
84C2×C3×#41—41no—
85C2×C3×#41—41no—
86C22×C3×Q8C2311yescharacteristic
87C22×C3×D4—21no—
88C22×C3×D4C2311yescharacteristic
89C23×C3×C4—21no—
90C23×C3×C4C2311yescharacteristic
91C2×#235C2311yescharacteristic
92C22×D12—22no—
93C22×D12—22no—
94C22×D12—22no—
95C22×D12—22no—
96C22×D12—21no—
97C22×D12—41no—
98C22×D12—41no—
99C22×D12C2311yescharacteristic
100C22×D12C2311yescharacteristic
101C2×C3×M16C2311yescharacteristic
102C2×C3×M16C2311yescharacteristic
103C2×C3×M16C2311yescharacteristic
104C2×C3×M16C2311yescharacteristic
105#953—21no—
106#949—216no—
107#949—216no—
108C2×#216—21no—
109#942—22no—
110#942—41no—
111C2×#215—22no—
112C2×#215—22no—
113C2×#215—21no—
114C2×#215—22no—
115C2×#215—21no—
116C2×#215—21no—
117C2×#215—22no—
118C2×#215D414yescomplemented
119C2×#214—21no—
120#932—22no—
121#932—41no—
122C2×#213—22no—
123C2×#213—22no—
124C2×#213—21no—
125C2×#213—22no—
126C2×#213—21no—
127C2×#213—21no—
128C2×#213—22no—
129C2×#213D414yescomplemented
130#930D412yes—
131#929—21no—
132C4×#67—22no—
133#926C2311yescharacteristic
134#924D412yes—
135C2×#208—22no—
136C2×#208—22no—
137C2×#208D412yes—
138C2×#208D412yes—
139C2×#208C2311yescharacteristic
140C2×#208C2311yescharacteristic
141C22×C3⋊C8C2311yescharacteristic
142C22×C3⋊C8C2311yescharacteristic
143#908—22no—
144#908—22no—
145#908—41no—
146#908—41no—
147#907—22no—
148#907—22no—
149C2×D24—21no—
150C2×D24—21no—
151C2×#204—21no—
152C2×#204—21no—
153C2×ΓL(1,𝔽25)—21no—
154C2×D3×C8—21no—
155C3×#101—22no—
156C3×#101—41no—
157C3×#100—22no—
158C3×#100—41no—
159C3×C22⋊C8—22no—
160C3×C22⋊C8—22no—
161#835—22no—
162#832—22no—
163#830—22no—
164#823—22no—
165#823—22no—
166#823—41no—
167#823—41no—
168#822—22no—
169#822—22no—
170#821—22no—
171#821—22no—
172(C2×D3)⋊C8—22no—
173#815—21no—
174Dic3⋊C8—22no—
175C8×Dic3—21no—
176C22×#41C2×D311yescharacteristic
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)—62no—
183C2×AGL(1,ℤ/8)—62no—
184C2×AGL(1,ℤ/8)—64no—
185C2×AGL(1,ℤ/8)—64no—
186C22×SD16—31no—
187C22×SD16—31no—
188C22×D8—31no—
189C22×D8—31no—
190C2×#131—31no—
191C22×M16—31no—
192#525—31no—
193#472—64no—
194#471—64no—
195#452—62no—
196#450—62no—
197#449—62no—
198#447—62no—
199#436—62no—
200#435—62no—
201C2×#108—31no—
202C2×#108—31no—
203#424—31no—
204#419—31no—
205#418—31no—
206#418—31no—
207#418—31no—
208C2×#101C2×D311yescharacteristic, complemented
209C2×#101C2×D311yescharacteristic, complemented
210C2×#100—31no—
211C2×#100—31no—
212C2×#100—31no—
213C2×#100—31no—
214C2×#100C2×D311yescharacteristic, complemented
215C2×#100C2×D311yescharacteristic, complemented
216#408—31no—
217#407—31no—
218#407C2×D311yescharacteristic
219#407C2×D311yescharacteristic
220#405—31no—
221#341—31no—
222#341—31no—
223C24×C3—21no—
224C24×C3#4111yescharacteristic
225C23×D3—21no—
226C23×D3—21no—
227C23×D3—42no—
228C23×D3—42no—
229C23×D3—42no—
230C23×D3—84no—
231C3×#41—28no—
232C3×#41—44no—
233C3×#41—44no—
234C3×#41—44no—
235C2×C3×Q8—21no—
236C2×C3×Q8—21no—
237C2×C3×Q8—21no—
238C2×C3×Q8—21no—
239C2×C3×Q8—21no—
240C2×C3×Q8C2×D412yes—
241C2×C3×D4—21no—
242C2×C3×D4—21no—
243C2×C3×D4—21no—
244C2×C3×D4—21no—
245C2×C3×D4—21no—
246C2×C3×D4—42no—
247C2×C3×D4—42no—
248C2×C3×D4—42no—
249C2×C3×D4C2×D412yes—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—42no—
256C22×C3×C4—42no—
257C22×C3×C4—42no—
258C22×C3×C4C2×D412yes—
259C22×C3×C4C2×D412yes—
260C22×C3×C4#4111yescharacteristic
261C22×C3×C4C2411yescharacteristic
262C2×#67—21no—
263C2×#67—22no—
264#235—21no—
265#235—21no—
266#235—21no—
267#235—21no—
268C2×D12—28no—
269C2×D12—21no—
270C2×D12—21no—
271C2×D12—21no—
272C2×D12—21no—
273C2×D12—21no—
274C2×D12—21no—
275C2×D12—21no—
276C2×D12—21no—
277C2×D12—21no—
278C2×D12—21no—
279C2×D12—44no—
280C2×D12—44no—
281C2×D12—42no—
282C2×D12—42no—
283C2×D12—44no—
284C2×D12—42no—
285C2×D12C2×D412yes—
286C2×D12C2×D412yes—
287C2×D12C2×D411yescharacteristic
288C2×C4×D3—21no—
289C2×Dic6C2×D411yescharacteristic
290C3×M16—21no—
291C3×M16—21no—
292C3×M16—21no—
293C3×M16—21no—
294C3×M16—21no—
295C3×M16—21no—
296C3×M16—21no—
297C3×M16—21no—
298C2×C3×C8—21no—
299C2×C3×C8—21no—
300C2×C3×C8—21no—
301C2×C3×C8—21no—
302#217—22no—
303#217—21no—
304#216—42no—
305#215—28no—
306#215—24no—
307#215—24no—
308#215—42no—
309#214—42no—
310#213—28no—
311#213—24no—
312#213—24no—
313#213—42no—
314(C2×D3)⋊C4—22no—
315C4⋊Dic3C2×D412yes—
316Dic3⋊C4—22no—
317C4×Dic3—21no—
318#208—24no—
319#208—24no—
320#208—21no—
321#208—21no—
322#208—21no—
323#208—21no—
324C2×C3⋊C8—21no—
325C2×C3⋊C8—21no—
326C2×C3⋊C8—21no—
327C2×C3⋊C8—21no—
328C2×C3⋊C8C2×D412yes—
329C2×C3⋊C8C2×D411yescharacteristic
330C2×C3⋊C8C2×D411yescharacteristic
331C2×C3⋊C8C2×D412yes—
332C2×C3⋊C8C2×D412yes—
333D24—42no—
334D24—42no—
335#204—42no—
336#204—42no—
337ΓL(1,𝔽25)—42no—
338D3×C8—42no—
339C25—61no—
340C2×#41—22no—
341C2×#41—22no—
342C2×#41—22no—
343C2×#41—22no—
344C2×#41—31no—
345C2×#41—41no—
346C2×#41—41no—
347C22×Q8C22×D311yescharacteristic
348C22×D4—21no—
349C22×D4—31no—
350C22×D4—31no—
351C22×D4—62no—
352C22×D4—62no—
353C22×D4—61no—
354C22×D4—62no—
355C22×D4—62no—
356C22×D4—121no—
357C22×D4—121no—
358C22×D4C22×D311yescharacteristic
359C23×C4—21no—
360C23×C4C22×D311yescharacteristic
361#137—62no—
362#137—121no—
363AGL(1,ℤ/8)—62no—
364AGL(1,ℤ/8)—62no—
365AGL(1,ℤ/8)—616no—
366AGL(1,ℤ/8)—616no—
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—61no—
374C2×SD16—61no—
375C2×SD16—61no—
376C2×SD16—61no—
377C2×SD16—62no—
378C2×SD16—62no—
379C2×SD16—62no—
380C2×SD16—62no—
381C2×SD16—61no—
382C2×SD16—61no—
383C2×D8—34no—
384C2×D8—61no—
385C2×D8—61no—
386C2×D8—61no—
387C2×D8—61no—
388C2×D8—62no—
389C2×D8—62no—
390C2×D8—62no—
391C2×D8—62no—
392C2×D8—61no—
393#131—62no—
394#131—62no—
395C2×M16—32no—
396C2×M16—32no—
397C2×M16—31no—
398C2×M16—31no—
399C2×M16—61no—
400C2×M16—62no—
401C2×M16—62no—
402C2×M16C22×D311yescharacteristic
403C2×M16C22×D311yescharacteristic
404C2×M16C22×D311yescharacteristic
405C2×M16C22×D311yescharacteristic
406C22×C8—31no—
407C22×C8—31no—
408C22×C8—61no—
409#123—61no—
410C22⋊Q8—32no—
411#121—32no—
412#120—61no—
413C4×D4—62no—
414#117—31no—
415#108—62no—
416#108—62no—
417C4⋊C8—62no—
418#103—62no—
419#102—62no—
420#102—62no—
421#102—62no—
422#101—22no—
423#101—41no—
424#100—22no—
425#100—41no—
426#100—62no—
427#100—62no—
428#100—121no—
429#100—121no—
430C22⋊C8—22no—
431C22⋊C8—22no—
432C22⋊C8—62no—
433C22⋊C8—62no—
434#97—61no—
435C4×C8—61no—
436C23×C3—21no—
437C23×C3—21no—
438C23×C3—22no—
439C23×C3—42no—
440C23×C3—41no—
441C23×C3—41no—
442C23×C3—82no—
443C23×C3#12112yes—
444C23×C3C2×#4111yescharacteristic
445C22×D3—21no—
446C22×D3—22no—
447C22×D3—22no—
448C22×D3—48no—
449C22×D3—41no—
450C22×D3—41no—
451C22×D3—41no—
452C22×D3—41no—
453C22×D3—84no—
454C22×D3—84no—
455C22×D3—88no—
456C22×D3—88no—
457C22×D3—82no—
458C22×D3—82no—
459C3×Q8—22no—
460C3×Q8—22no—
461C3×Q8—41no—
462C3×Q8—41no—
463C3×D4—22no—
464C3×D4—22no—
465C3×D4—48no—
466C3×D4—41no—
467C3×D4—41no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—22no—
471C2×C3×C4—22no—
472C2×C3×C4—22no—
473C2×C3×C4—22no—
474C2×C3×C4—22no—
475C2×C3×C4—48no—
476C2×C3×C4—41no—
477C2×C3×C4—41no—
478C2×C3×C4#12112yes—
479C2×C3×C4C22×D411yescharacteristic
480C2×C3×C4C22×D411yescharacteristic
481C2×C3×C4C22×D411yescharacteristic
482C2×C3×C4C22×D411yescharacteristic
483C2×C3×C4H(5,𝔽2)11yescharacteristic
484C2×C3×C4H(5,𝔽2)11yescharacteristic
485#67—41no—
486#67—41no—
487#67—82no—
488C2×Dic3—22no—
489C2×Dic3—21no—
490D12—22no—
491D12—22no—
492D12—22no—
493D12—22no—
494D12—21no—
495D12—21no—
496D12—48no—
497D12—41no—
498D12—41no—
499D12—41no—
500D12—41no—
501C4×D3—41no—
502C4×D3—41no—
503Dic6—21no—
504Dic6—21no—
505C3×C8—41no—
506C3×C8—41no—
507C3×C8—41no—
508C3×C8—41no—
509C3⋊C8—22no—
510C3⋊C8—41no—
511C3⋊C8—41no—
512C3⋊C8#12012yes—
513C3⋊C8#12012yes—
514C24—21no—
515C24—61no—
516C24—61no—
517C24—122no—
518C24—122no—
519C24—122no—
520C24—244no—
521C24#23511yescharacteristic
522#41—28no—
523#41—44no—
524#41—44no—
525#41—44no—
526#41—61no—
527#41—61no—
528#41—61no—
529#41—61no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—31no—
536C2×Q8D3×D412yes—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—32no—
543C2×D4—32no—
544C2×D4—31no—
545C2×D4—42no—
546C2×D4—42no—
547C2×D4—42no—
548C2×D4—68no—
549C2×D4—61no—
550C2×D4—62no—
551C2×D4—61no—
552C2×D4—61no—
553C2×D4—61no—
554C2×D4—61no—
555C2×D4—61no—
556C2×D4—61no—
557C2×D4—61no—
558C2×D4—61no—
559C2×D4—61no—
560C2×D4—61no—
561C2×D4—124no—
562C2×D4—124no—
563C2×D4—122no—
564C2×D4—122no—
565C2×D4—124no—
566C2×D4—122no—
567C2×D4D3×D412yes—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—42no—
574C22×C4—42no—
575C22×C4—42no—
576C22×C4—61no—
577C22×C4#23511yescharacteristic
578C22×C4D3×D412yes—
579C22×C4D3×D412yes—
580C22×C4C23×D311yescharacteristic
581Q16—122no—
582SD16—64no—
583SD16—64no—
584SD16—68no—
585SD16—122no—
586SD16—122no—
587SD16—122no—
588SD16—122no—
589D8—64no—
590D8—64no—
591D8—68no—
592D8—122no—
593D8—122no—
594D8—122no—
595M16—21no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—21no—
600M16—21no—
601M16—21no—
602M16—21no—
603M16—64no—
604M16—64no—
605M16—61no—
606M16—61no—
607M16—61no—
608M16—61no—
609M16—122no—
610C2×C8—21no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—21no—
614C2×C8—31no—
615C2×C8—31no—
616C2×C8—32no—
617C2×C8—32no—
618C2×C8—32no—
619C2×C8—61no—
620C2×C8—61no—
621C2×C8—61no—
622C2×C8—61no—
623C2×C8—122no—
624C4⋊C4—32no—
625C4⋊C4—62no—
626C22⋊C4—62no—
627C22⋊C4—61no—
628C22⋊C4—62no—
629C42—61no—
630C22×C3—22no—
631C22×C3—22no—
632C22×C3—22no—
633C22×C3—22no—
634C22×C3—42no—
635C22×C3—42no—
636C22×C3—42no—
637C22×C3—82no—
638C22×C3—82no—
639C22×C3—82no—
640C22×C3C2×#12111yescharacteristic
641C22×C3#54611yescharacteristic
642C22×C3#54611yescharacteristic
643C2×D3—41no—
644C2×D3—42no—
645C2×D3—42no—
646C2×D3—42no—
647C2×D3—82no—
648C2×D3—82no—
649C2×D3—816no—
650C2×D3—82no—
651C2×D3—82no—
652C2×D3—82no—
653C2×D3—82no—
654C3×C4—22no—
655C3×C4—42no—
656C3×C4C2×#12011yescharacteristic
657C3×C4#53511yescharacteristic
658C3×C4D4211yescharacteristic
659C3×C4D4211yescharacteristic
660Dic3—41no—
661Dic3—42no—
662C23—21no—
663C23—21no—
664C23—22no—
665C23—42no—
666C23—41no—
667C23—41no—
668C23—61no—
669C23—62no—
670C23—62no—
671C23—82no—
672C23—128no—
673C23—121no—
674C23—121no—
675C23—121no—
676C23—121no—
677C23—242no—
678C23—242no—
679C23—244no—
680C23—244no—
681C23—248no—
682C23—248no—
683C23#88412yes—
684C23C2×#23511yescharacteristic
685Q8—22no—
686Q8—22no—
687Q8—41no—
688Q8—41no—
689Q8—61no—
690Q8—61no—
691D4—22no—
692D4—22no—
693D4—48no—
694D4—41no—
695D4—41no—
696D4—62no—
697D4—62no—
698D4—61no—
699D4—61no—
700D4—62no—
701D4—62no—
702D4—128no—
703D4—121no—
704D4—121no—
705D4—121no—
706D4—121no—
707D4—121no—
708D4—121no—
709D4—242no—
710C2×C4—21no—
711C2×C4—21no—
712C2×C4—22no—
713C2×C4—22no—
714C2×C4—22no—
715C2×C4—22no—
716C2×C4—22no—
717C2×C4—48no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—62no—
721C2×C4—61no—
722C2×C4—121no—
723C2×C4—121no—
724C2×C4#88412yes—
725C2×C4C2×D3×D411yescharacteristic
726C2×C4C2×D3×D411yescharacteristic
727C2×C4C2×D3×D411yescharacteristic
728C2×C4C2×D3×D411yescharacteristic
729C2×C4#100411yescharacteristic
730C2×C4#100411yescharacteristic
731C8—32no—
732C8—32no—
733C8—41no—
734C8—41no—
735C8—41no—
736C8—41no—
737C8—62no—
738C8—121no—
739C8—121no—
740C2×C3—21no—
741C2×C3—21no—
742C2×C3—42no—
743C2×C3—82no—
744C2×C3#240811yescharacteristic
745C2×C3#306812yes—
746D3—81no—
747D3—82no—
748D3—82no—
749C22—22no—
750C22—22no—
751C22—22no—
752C22—22no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—121no—
760C22—122no—
761C22—122no—
762C22—122no—
763C22—242no—
764C22—242no—
765C22—242no—
766C22—242no—
767C22—2416no—
768C22—242no—
769C22—242no—
770C22C2×#88411yescharacteristic
771C22#549011yescharacteristic
772C22#549011yescharacteristic
773C4—22no—
774C4—42no—
775C4—121no—
776C4—122no—
777C4D3×#12011yescharacteristic
778C4#559011yescharacteristic
779C4#559011yescharacteristic
780C4#559211yescharacteristic
781C3#2428411yescharacteristic, complemented, Sylow
782C2—21no—
783C2—21no—
784C2—42no—
785C2—82no—
786C2—241no—
787C2—242no—
788C2—242no—
789C2#7382411yescharacteristic
790C2#7872012yes—
subgroupG/H
centerC22C2×#884
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1785C2
socleC22×C3C2×#121
hypercenter#1785D3
hypocenterC3#24284
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1785

Complements

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

NH ≅ G/Ntype
1. C22×#949C2semidirect
2. #84081C2semidirect
3. C2×#4754C2semidirect
4. C2×#4749C2semidirect
5. #78637C2semidirect
6. #78627C2semidirect
7. C3×#1785C2semidirect
8. #70118C2semidirect
9. #70117C2semidirect
10. #70107C2semidirect
11. #70090C2semidirect
12. #70083C2semidirect
13. #70074C2semidirect
14. #69988C2semidirect
15. #69983C2semidirect
23. C2×#942C22semidirect
26. C2×#932C22semidirect
33. C2×#907C22semidirect
34. C2×C3×#101C22semidirect
35. C2×C3×#101C22semidirect
36. C2×C3×#100C22semidirect
37. C2×C3×#100C22semidirect
42. #5225C22semidirect
43. #5215C22semidirect
51. #5129C22semidirect
52. C2×#822C22semidirect
53. C2×#822C22semidirect
54. #5122C22semidirect
55. #5119C22semidirect
62. #4558C22semidirect
63. #4558C22semidirect
77. #1785D3semidirect
118. C2×#215D4semidirect
129. C2×#213D4semidirect
208. C2×#101C2×D3semidirect
209. C2×#101C2×D3semidirect
214. C2×#100C2×D3semidirect
215. C2×#100C2×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×#9492
#840812
C2×#47542
C2×#47492
#786372
#786272
C3×#17852
#701182
#701172
#701072
#700902
#700832
#700742
#699882
#699832
#242843