Finite Group Databasebeta

← #10816041

Subgroups — #10816041

Order 768.

1074 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2946C211yesmaximal, characteristic, complemented
2C2×#5198C211yesmaximal, characteristic
3#82563C211yesmaximal, characteristic, complemented
4#82537C211yesmaximal, characteristic, complemented
5#78831C211yesmaximal, characteristic, complemented
6#72091C211yesmaximal, characteristic, complemented
7#71664C211yesmaximal, characteristic, complemented
8#71650C211yesmaximal, characteristic, complemented
9#70680C211yesmaximal, characteristic, complemented
10#70673C211yesmaximal, characteristic, complemented
11#70289C211yesmaximal, characteristic, complemented
12#70218C211yesmaximal, characteristic, complemented
13#70157C211yesmaximal, characteristic, complemented
14#69892C211yesmaximal, characteristic, complemented
15#69887C211yesmaximal, characteristic, complemented
16#22897—31nomaximal, Sylow
17C2×#1009C2211yescharacteristic
18C2×C3×AGL(1,ℤ/8)C2211yescharacteristic
19C3×#520C2211yescharacteristic
20C3×#518C2211yescharacteristic, complemented
21C2×#948C2211yescharacteristic
22C2×#940C2211yescharacteristic
23C2×#932C2211yescharacteristic
24C2×#901C2211yescharacteristic
25#5523C2211yescharacteristic
26C3×#442—21no—
27C3×#440—21no—
28C3×C4×SD16—21no—
29C3×C4×D8—21no—
30C3×#428C2211yescharacteristic, complemented
31C3×#416C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic, complemented
33C3×#405C2211yescharacteristic, complemented
34C2×#837C2211yescharacteristic
35#5232C2211yescharacteristic
36C2×#833C2211yescharacteristic, complemented
37C2×#832C2211yescharacteristic, complemented
38#5198C418yescomplemented
39C2×#825C2211yescharacteristic
40C2×#823C2211yescharacteristic
41C2×#821C2211yescharacteristic
42C2×C8×Dic3C2211yescharacteristic, complemented
43#5018—21no—
44C4×#214—21no—
45#5014—21no—
46C4×#213—21no—
47#5002—21no—
48#5002C2211yescharacteristic
49#5001—21no—
50#5001C2211yescharacteristic
51#5001C2211yescharacteristic
52#4997C2211yescharacteristic, complemented
53#4995C2211yescharacteristic, complemented
54#4975C2211yescharacteristic, complemented
55#4966—21no—
56#4966C2211yescharacteristic
57C2×#809—21no—
58C2×#809C2211yescharacteristic
59#4804—21no—
60#4803—21no—
61#4770—21no—
62D3×#102—21no—
63#4558C2211yescharacteristic, complemented
64#4554C2211yescharacteristic, complemented
65#4552C2211yescharacteristic, complemented
66#4532C2211yescharacteristic, complemented
67#4532C2211yescharacteristic, complemented
68#4530C2211yescharacteristic, complemented
69C2×#453—31no—
70#2946—31no—
71#2946D311yescharacteristic, complemented
72#2897—31no—
73#2897—31no—
74#1957—31no—
75#1931—31no—
76#1931—31no—
77#1907—31no—
78#1907—31no—
79#1887—31no—
80#1859—31no—
81#1859—31no—
82#1764—31no—
83#1764—31no—
84C2×C3×#41C2311yescharacteristic
85C22×C3×D4C2311yescharacteristic
86C22×#67—41no—
87#1009—22no—
88#1009—22no—
89#1009—41no—
90#1009C2×C414yescomplemented
91C2×#239—21no—
92C2×D3×D4—21no—
93C2×D3×D4—41no—
94C2×#235—21no—
95C2×#235C2311yescharacteristic
96C22×D12—21no—
97C22×D12C2311yescharacteristic
98C3×AGL(1,ℤ/8)—22no—
99C3×AGL(1,ℤ/8)C2×C414yescomplemented
100C2×C3×SD16—21no—
101C2×C3×D8—21no—
102C2×C3×M16C2311yescharacteristic
103C22×C3×C8C2311yescharacteristic
104C3×C4×Q8—21no—
105C3×C4×D4—21no—
106C3×C4×D4—21no—
107C3×C4×D4—21no—
108C3×C4×D4—21no—
109C3×C4×D4—21no—
110C3×C4×D4—41no—
111C3×#117—21no—
112C3×#117C2311yescharacteristic
113C3×#117C2311yescharacteristic
114C2×C3×C4⋊C4—21no—
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C22⋊C4—41no—
117#948—22no—
118#948—41no—
119#940—41no—
120#940C2×C414yescomplemented
121C2×#214—21no—
122#932—22no—
123#932C2×C414yescomplemented
124C2×#213—21no—
125C2×C4⋊Dic3C2311yescharacteristic
126C2×Dic3⋊C4—41no—
127C2×C4×Dic3C2311yescharacteristic
128C2×#208—21no—
129C2×#208C2311yescharacteristic
130C2×#208C2311yescharacteristic
131C2×#208C2311yescharacteristic
132C22×C3⋊C8—21no—
133C22×C3⋊C8C2311yescharacteristic
134#901—22no—
135#901—41no—
136C2×ΓL(1,𝔽25)—21no—
137C2×D3×C8—21no—
138#892—21no—
139D3×C4⋊C4—21no—
140#67⋊C4—41no—
141C4×D12—21no—
142C4×Dic6—21no—
143C3×#107—21no—
144C3×#106—21no—
145C3×#103D411yescharacteristic, complemented
146C3×#103D411yescharacteristic, complemented
147C3×#102—21no—
148C3×#102—21no—
149C3×#102D411yescharacteristic, complemented
150C3×#102D411yescharacteristic, complemented
151C3×#97—21no—
152C3×C4×C8—21no—
153#837C2×C414yescomplemented
154#835—21no—
155#833—41no—
156#832—21no—
157#832—21no—
158#832—21no—
159#825C2×C414yescomplemented
160#823C2×C414yescomplemented
161#821—21no—
162#821—21no—
163C8×Dic3—41no—
164#810—21no—
165#810D411yescharacteristic, complemented
166#810D411yescharacteristic, complemented
167#809—21no—
168#809—21no—
169#809—21no—
170#809—21no—
171#809—21no—
172#809—21no—
173#809—21no—
174#809D411yescharacteristic, complemented
175#809D411yescharacteristic, complemented
176#808—21no—
177#807—21no—
178#803—21no—
179C4×C3⋊C8—21no—
180C2×H(5,𝔽2)—31no—
181C2×AGL(1,ℤ/8)—31no—
182C2×AGL(1,ℤ/8)C2×D311yescharacteristic
183C2×#131—31no—
184C2×#131—31no—
185C2×#127—31no—
186#520—31no—
187#520C2×D311yescharacteristic
188#518C2×D311yescharacteristic, complemented
189#453—38no—
190#442—21no—
191#442—61no—
192#440—21no—
193#440—61no—
194C4×SD16—21no—
195C4×SD16—61no—
196C4×D8—21no—
197C4×D8—61no—
198#428—31no—
199#428C2×D311yescharacteristic, complemented
200C2×#104—31no—
201C2×#104—31no—
202#418—31no—
203#418—31no—
204#418—61no—
205#418—61no—
206#417—31no—
207#417—31no—
208#417—61no—
209#417—61no—
210#416—31no—
211#416—61no—
212#416—61no—
213#416C2×D311yescharacteristic
214C2×#102—31no—
215C2×#102—31no—
216C2×#102—31no—
217C2×#102—61no—
218C2×#102—61no—
219C2×#102C2×D311yescharacteristic, complemented
220C2×#100—31no—
221C2×#100—31no—
222#405—31no—
223#405C2×D311yescharacteristic, complemented
224C2×C4×C8—31no—
225#384—31no—
226#343—31no—
227#343—31no—
228#341—31no—
229#341—31no—
230#339—31no—
231#339—31no—
232C24×C3—21no—
233C23×D3—21no—
234C23×D3—41no—
235C3×#41—21no—
236C3×#41—21no—
237C3×#41C22×C412yes—
238C3×#41#4112yes—
239C2×C3×Q8C2×D411yescharacteristic
240C2×C3×D4—21no—
241C2×C3×D4—21no—
242C2×C3×D4—21no—
243C2×C3×D4—21no—
244C2×C3×D4—21no—
245C2×C3×D4—21no—
246C2×C3×D4C22×C412yes—
247C2×C3×D4C2×D411yescharacteristic
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—41no—
251C22×C3×C4—41no—
252C22×C3×C4—41no—
253C22×C3×C4C2411yescharacteristic
254C2×#67—21no—
255C2×#67—41no—
256C2×#67—44no—
257C2×#67—82no—
258C2×#67—82no—
259C22×Dic3—21no—
260C22×Dic3—21no—
261#239—24no—
262#239—42no—
263D3×D4—24no—
264D3×D4—42no—
265D3×D4—44no—
266D3×D4—44no—
267#235—21no—
268#235—21no—
269#235—24no—
270#235—42no—
271#235C22×C412yes—
272#235#4112yes—
273C2×D12—21no—
274C2×D12—21no—
275C2×D12—21no—
276C2×D12—21no—
277C2×D12—24no—
278C2×D12—21no—
279C2×D12—42no—
280C2×D12—41no—
281C2×D12C22×C412yes—
282C2×D12C2×D411yescharacteristic
283C2×C4×D3—21no—
284C2×C4×D3—41no—
285C2×C4×D3—41no—
286C2×Dic6C2×D411yescharacteristic
287C3×SD16—24no—
288C3×D8—24no—
289C3×M16—21no—
290C3×M16C22×C412yes—
291C2×C3×C8—21no—
292C2×C3×C8—21no—
293C2×C3×C8—21no—
294C2×C3×C8C2×D411yescharacteristic
295C2×C3×C8C2×D411yescharacteristic
296C3×C4⋊C4—21no—
297C3×C4⋊C4—21no—
298C3×C4⋊C4—41no—
299C3×C4⋊C4C2×D411yescharacteristic
300C3×C4⋊C4C2×D411yescharacteristic
301C3×C4⋊C4C2×D411yescharacteristic
302C3×C4⋊C4C2×D411yescharacteristic
303C3×C22⋊C4—21no—
304C3×C22⋊C4—21no—
305C3×C22⋊C4—41no—
306C3×C22⋊C4—41no—
307C3×C22⋊C4—41no—
308C3×C42—21no—
309C3×C42—21no—
310C3×C42—41no—
311#214—24no—
312#213—24no—
313(C2×D3)⋊C4—41no—
314C4⋊Dic3—21no—
315C4⋊Dic3—21no—
316Dic3⋊C4—41no—
317Dic3⋊C4—82no—
318C4×Dic3—21no—
319C4×Dic3—41no—
320C4×Dic3C22×C412yes—
321#208—21no—
322#208—21no—
323#208—21no—
324#208—21no—
325#208—21no—
326#208—42no—
327#208C22×C412yes—
328C2×C3⋊C8—21no—
329C2×C3⋊C8—21no—
330C2×C3⋊C8—21no—
331C2×C3⋊C8—21no—
332C2×C3⋊C8—21no—
333C2×C3⋊C8—42no—
334C2×C3⋊C8C2×D411yescharacteristic
335C2×C3⋊C8C2×D411yescharacteristic
336ΓL(1,𝔽25)—42no—
337D3×C8—42no—
338H(5,𝔽2)—34no—
339H(5,𝔽2)—62no—
340H(5,𝔽2)—62no—
341H(5,𝔽2)—121no—
342C2×#41—31no—
343C2×#41—61no—
344C2×#41—61no—
345C2×#41C22×D311yescharacteristic
346C22×D4—31no—
347C22×D4—61no—
348C22×D4—61no—
349C22×D4—121no—
350C22×D4—121no—
351C22×D4C22×D311yescharacteristic
352AGL(1,ℤ/8)—22no—
353AGL(1,ℤ/8)—34no—
354AGL(1,ℤ/8)—62no—
355AGL(1,ℤ/8)C4×D314yescomplemented
356C2×SD16—21no—
357C2×SD16—61no—
358C2×D8—21no—
359C2×D8—61no—
360#131—62no—
361#131—62no—
362#131—121no—
363#131—121no—
364C2×M16—31no—
365C2×M16—31no—
366C2×M16—31no—
367C2×M16—61no—
368C2×M16—61no—
369C2×M16C22×D311yescharacteristic
370C22×C8—31no—
371C22×C8—61no—
372C22×C8—61no—
373C22×C8C22×D311yescharacteristic
374#127—34no—
375#127—121no—
376C4×Q8—21no—
377C4×Q8—61no—
378C4×D4—21no—
379C4×D4—21no—
380C4×D4—21no—
381C4×D4—21no—
382C4×D4—21no—
383C4×D4—41no—
384C4×D4—61no—
385C4×D4—121no—
386#117—21no—
387#117—61no—
388#117C22×D311yescharacteristic
389#117C22×D311yescharacteristic
390C2×C4⋊C4—21no—
391C2×C4⋊C4—31no—
392C2×C4⋊C4—61no—
393C2×C4⋊C4—121no—
394C2×C4⋊C4C22×D311yescharacteristic
395C2×C22⋊C4—41no—
396C2×C42—31no—
397#107—21no—
398#107—61no—
399#106—21no—
400#106—61no—
401#104—34no—
402#104—34no—
403#103—31no—
404#103—31no—
405#103—61no—
406#103—61no—
407#103#6711yescharacteristic, complemented
408#103#6711yescharacteristic, complemented
409#102—21no—
410#102—21no—
411#102—31no—
412#102—31no—
413#102—61no—
414#102—61no—
415#102—61no—
416#102—61no—
417#102—61no—
418#102—61no—
419#102—61no—
420#102—61no—
421#102—61no—
422#102—61no—
423#102—61no—
424#102—61no—
425#102#6711yescharacteristic, complemented
426#102#6711yescharacteristic, complemented
427#100—34no—
428#100—121no—
429#97—21no—
430#97—61no—
431C4×C8—21no—
432C4×C8—61no—
433C4×C8—121no—
434C23×C3—21no—
435C23×C3—22no—
436C23×C3—41no—
437C23×C3—41no—
438C23×C3—81no—
439C23×C3—81no—
440C23×C3H(5,𝔽2)11yescharacteristic
441C22×D3—21no—
442C22×D3—22no—
443C22×D3—44no—
444C22×D3—41no—
445C22×D3—41no—
446C22×D3—81no—
447C22×D3—81no—
448C22×D3—161no—
449C22×D3—161no—
450C3×Q8—21no—
451C3×Q8C4×D412yes—
452C3×D4—22no—
453C3×D4—22no—
454C3×D4—22no—
455C3×D4—22no—
456C3×D4—21no—
457C3×D4—41no—
458C3×D4—41no—
459C3×D4C4×D412yes—
460C2×C3×C4—21no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—41no—
468C2×C3×C4—81no—
469C2×C3×C4—161no—
470C2×C3×C4—161no—
471C2×C3×C4—161no—
472C2×C3×C4C23×C411yescharacteristic
473C2×C3×C4C22×D411yescharacteristic
474C2×C3×C4C22×D411yescharacteristic
475C2×C3×C4C2×#4111yescharacteristic
476C2×C3×C4C2×#4111yescharacteristic
477C2×C3×C4H(5,𝔽2)11yescharacteristic
478#67—22no—
479#67—22no—
480#67—44no—
481#67—88no—
482C2×Dic3—22no—
483C2×Dic3—22no—
484C2×Dic3—22no—
485C2×Dic3—21no—
486C2×Dic3—41no—
487C2×Dic3—81no—
488D12—22no—
489D12—22no—
490D12—21no—
491D12—44no—
492D12—41no—
493D12—41no—
494D12C4×D412yes—
495C4×D3—22no—
496C4×D3—22no—
497C4×D3—44no—
498C4×D3—161no—
499Dic6—21no—
500Dic6C4×D412yes—
501C3×C8—22no—
502C3×C8—21no—
503C3×C8—21no—
504C3⋊C8—22no—
505C3⋊C8—21no—
506C3⋊C8—21no—
507C3⋊C8—41no—
508C3⋊C8—41no—
509C24—21no—
510C24—61no—
511C24—121no—
512#41—21no—
513#41—21no—
514#41—32no—
515#41—32no—
516#41—64no—
517#41—61no—
518#41—61no—
519#41—64no—
520#41—122no—
521#41—122no—
522#41C2×C4×D312yes—
523#41#23512yes—
524C2×Q8—31no—
525C2×Q8C2×#6711yescharacteristic
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—32no—
533C2×D4—31no—
534C2×D4—64no—
535C2×D4—61no—
536C2×D4—64no—
537C2×D4—61no—
538C2×D4—61no—
539C2×D4—61no—
540C2×D4—61no—
541C2×D4—61no—
542C2×D4—122no—
543C2×D4—121no—
544C2×D4—122no—
545C2×D4—121no—
546C2×D4—124no—
547C2×D4—124no—
548C2×D4—124no—
549C2×D4—242no—
550C2×D4—242no—
551C2×D4C2×C4×D312yes—
552C2×D4C2×#6711yescharacteristic
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—41no—
556C22×C4—41no—
557C22×C4—41no—
558C22×C4—61no—
559C22×C4—61no—
560C22×C4—61no—
561C22×C4—121no—
562C22×C4—121no—
563C22×C4C23×D311yescharacteristic
564SD16—24no—
565SD16—64no—
566D8—24no—
567D8—64no—
568M16—21no—
569M16—32no—
570M16—61no—
571M16—61no—
572M16—61no—
573M16—61no—
574M16—61no—
575M16—122no—
576M16—122no—
577M16C2×C4×D312yes—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—31no—
582C2×C8—31no—
583C2×C8—61no—
584C2×C8—61no—
585C2×C8—61no—
586C2×C8—61no—
587C2×C8—61no—
588C2×C8—122no—
589C2×C8—122no—
590C2×C8C2×#6711yescharacteristic
591C2×C8C2×#6711yescharacteristic
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—41no—
595C4⋊C4—61no—
596C4⋊C4—61no—
597C4⋊C4—121no—
598C4⋊C4—242no—
599C4⋊C4D3×D411yescharacteristic
600C4⋊C4D3×D411yescharacteristic
601C4⋊C4C2×#6711yescharacteristic
602C4⋊C4C2×#6711yescharacteristic
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—41no—
606C22⋊C4—41no—
607C22⋊C4—41no—
608C22⋊C4—121no—
609C42—21no—
610C42—21no—
611C42—32no—
612C42—41no—
613C42—61no—
614C42—121no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—22no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3—42no—
621C22×C3—82no—
622C22×C3—81no—
623C22×C3—81no—
624C22×C3—161no—
625C22×C3#51811yescharacteristic
626C22×C3D4211yescharacteristic
627C22×C3#55111yescharacteristic
628C2×D3—22no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—42no—
632C2×D3—81no—
633C2×D3—81no—
634C2×D3—82no—
635C2×D3—164no—
636C2×D3—161no—
637C3×C4—22no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—81no—
643C3×C4C2×C4×D411yescharacteristic
644C3×C4C2×C4×D411yescharacteristic
645C3×C4#54611yescharacteristic
646C3×C4#54611yescharacteristic
647Dic3—24no—
648Dic3—22no—
649Dic3—81no—
650C23—21no—
651C23—22no—
652C23—41no—
653C23—41no—
654C23—61no—
655C23—62no—
656C23—81no—
657C23—81no—
658C23—124no—
659C23—121no—
660C23—121no—
661C23—241no—
662C23—241no—
663C23—481no—
664C23—481no—
665C23#100411yescharacteristic
666Q8—21no—
667Q8—32no—
668Q8—61no—
669Q8C4×#6712yes—
670D4—22no—
671D4—22no—
672D4—22no—
673D4—22no—
674D4—21no—
675D4—32no—
676D4—41no—
677D4—41no—
678D4—62no—
679D4—62no—
680D4—62no—
681D4—62no—
682D4—61no—
683D4—124no—
684D4—124no—
685D4—121no—
686D4—121no—
687D4—248no—
688D4C4×#6712yes—
689C2×C4—21no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—41no—
697C2×C4—62no—
698C2×C4—62no—
699C2×C4—62no—
700C2×C4—61no—
701C2×C4—62no—
702C2×C4—62no—
703C2×C4—81no—
704C2×C4—124no—
705C2×C4—121no—
706C2×C4—161no—
707C2×C4—161no—
708C2×C4—161no—
709C2×C4—241no—
710C2×C4—481no—
711C2×C4C22×C4×D311yescharacteristic
712C2×C4C2×#23511yescharacteristic
713C2×C4C2×D3×D411yescharacteristic
714C2×C4D3×#4111yescharacteristic
715C2×C4#100911yescharacteristic
716C2×C4C22×#6711yescharacteristic
717C8—22no—
718C8—21no—
719C8—21no—
720C8—62no—
721C8—61no—
722C8—61no—
723C8—121no—
724C8—121no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—42no—
728C2×C3—82no—
729C2×C3#235811yescharacteristic
730C2×C3#329111yescharacteristic
731C2×C3#329211yescharacteristic
732D3—42no—
733D3—82no—
734C22—21no—
735C22—21no—
736C22—22no—
737C22—41no—
738C22—41no—
739C22—42no—
740C22—62no—
741C22—82no—
742C22—81no—
743C22—81no—
744C22—121no—
745C22—121no—
746C22—122no—
747C22—161no—
748C22—242no—
749C22—241no—
750C22—241no—
751C22—481no—
752C22—484no—
753C22#554511yescharacteristic
754C22#555611yescharacteristic
755C22D4×#6711yescharacteristic
756C4—22no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—64no—
762C4—62no—
763C4—81no—
764C4—241no—
765C4C4×D3×D411yescharacteristic
766C4#555011yescharacteristic
767C4C2×C4×#6711yescharacteristic
768C4#582911yescharacteristic
769C3#2289711yescharacteristic, complemented, Sylow
770C2—21no—
771C2—21no—
772C2—42no—
773C2—82no—
774C2—122no—
775C2—242no—
776C2#8239811yescharacteristic
777C2#8401011yescharacteristic
778C2#8401411yescharacteristic
subgroupG/H
centerC22D4×#67
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#2946C2
socleC22×C3D42
prime radicalC2×#5198C2
cosocleC22×C3×C4C24
hypercenter#2946D3
hypocenterC3#22897
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. C3×#2946C2semidirect
3. #82563C2semidirect
4. #82537C2semidirect
5. #78831C2semidirect
6. #72091C2semidirect
7. #71664C2semidirect
8. #71650C2semidirect
9. #70680C2semidirect
10. #70673C2semidirect
11. #70289C2semidirect
12. #70218C2semidirect
13. #70157C2semidirect
14. #69892C2semidirect
15. #69887C2semidirect
20. C3×#518C22semidirect
30. C3×#428C22semidirect
32. C2×C3×#102C22semidirect
33. C3×#405C22semidirect
36. C2×#833C22semidirect
37. C2×#832C22semidirect
38. #5198C4semidirect
42. C2×C8×Dic3C22semidirect
52. #4997C22semidirect
53. #4995C22semidirect
54. #4975C22semidirect
63. #4558C22semidirect
64. #4554C22semidirect
65. #4552C22semidirect
66. #4532C22semidirect
67. #4532C22semidirect
68. #4530C22semidirect
71. #2946D3semidirect
90. #1009C2×C4semidirect
99. C3×AGL(1,ℤ/8)C2×C4semidirect
120. #940C2×C4semidirect
123. #932C2×C4semidirect
145. C3×#103D4semidirect
146. C3×#103D4semidirect
149. C3×#102D4semidirect
150. C3×#102D4semidirect
153. #837C2×C4semidirect
159. #825C2×C4semidirect
160. #823C2×C4semidirect
165. #810D4semidirect
166. #810D4semidirect
174. #809D4semidirect
175. #809D4semidirect
188. #518C2×D3semidirect
199. #428C2×D3semidirect
219. C2×#102C2×D3semidirect
223. #405C2×D3semidirect
355. AGL(1,ℤ/8)C4×D3semidirect
407. #103#67semidirect
408. #103#67semidirect
425. #102#67semidirect
426. #102#67semidirect
769. C3#22897semidirect

Maximal subgroups

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

subgroupindex
C3×#29462
C2×#51982
#825632
#825372
#788312
#720912
#716642
#716502
#706802
#706732
#702892
#702182
#701572
#698922
#698872
#228973