Finite Group Databasebeta

← #10816043

Subgroups — #10816043

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×#2897C211yesmaximal, characteristic, complemented
2C2×#5241C211yesmaximal, characteristic
3#84099C211yesmaximal, characteristic, complemented
4#82564C211yesmaximal, characteristic, complemented
5#78820C211yesmaximal, characteristic, complemented
6#72018C211yesmaximal, characteristic, complemented
7#72008C211yesmaximal, characteristic, complemented
8#71664C211yesmaximal, characteristic, complemented
9#70323C211yesmaximal, characteristic, complemented
10#70318C211yesmaximal, characteristic, complemented
11#70303C211yesmaximal, characteristic, complemented
12#70297C211yesmaximal, characteristic, complemented
13#70289C211yesmaximal, characteristic, complemented
14#70195C211yesmaximal, characteristic, complemented
15#70157C211yesmaximal, characteristic, complemented
16#22897—31nomaximal, Sylow
17C2×C3×H(5,𝔽2)C2211yescharacteristic
18C2×C3×#131C2211yescharacteristic
19C3×#520C2211yescharacteristic
20#5827C2211yescharacteristic
21C2×#949C2211yescharacteristic
22C2×#949C2211yescharacteristic
23C2×#948C2211yescharacteristic
24C2×#940C2211yescharacteristic
25#5521C2211yescharacteristic, complemented
26C3×#418—21no—
27C3×#418C2211yescharacteristic
28C3×#417—21no—
29C3×#417C2211yescharacteristic
30C3×#416—21no—
31C3×#416C2211yescharacteristic
32C2×C3×#102—21no—
33C2×C3×#102C2211yescharacteristic
34#5241C418yescomplemented
35C2×#837C2211yescharacteristic
36C2×#837C2211yescharacteristic
37#5233—21no—
38#5233C2211yescharacteristic
39#5232—21no—
40#5232C2211yescharacteristic
41C2×#833C2211yescharacteristic
42#5215—21no—
43#5215C2211yescharacteristic
44C2×#832—21no—
45C2×#832C2211yescharacteristic
46C2×#823C2211yescharacteristic, complemented
47C2×#821C2211yescharacteristic, complemented
48#5101C2211yescharacteristic, complemented
49C2×C8×Dic3C2211yescharacteristic, complemented
50#5026—21no—
51C4×#215—21no—
52#5014—21no—
53C4×#213—21no—
54#4997C2211yescharacteristic, complemented
55#4995C2211yescharacteristic, complemented
56#4975C2211yescharacteristic, complemented
57C2×#809C2211yescharacteristic, complemented
58#4964C2211yescharacteristic, complemented
59#4817—21no—
60#4788—21no—
61#4785—21no—
62#4756—21no—
63#4558C2211yescharacteristic, complemented
64#4555C2211yescharacteristic, complemented
65#4554C2211yescharacteristic, complemented
66#4552C2211yescharacteristic, complemented
67#4532C2211yescharacteristic, complemented
68#4530C2211yescharacteristic, complemented
69C2×#453—31no—
70#2946—31no—
71#2946—31no—
72#2897—31no—
73#2897D311yescharacteristic, complemented
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—
84C3×H(5,𝔽2)—22no—
85C3×H(5,𝔽2)—22no—
86C3×H(5,𝔽2)—41no—
87C3×H(5,𝔽2)C2×C414yescomplemented
88C2×C3×#41—21no—
89C2×C3×#41—21no—
90C2×C3×#41C2311yescharacteristic
91C2×C3×#41C2311yescharacteristic
92C22×C3×D4—21no—
93C22×C3×D4—21no—
94C22×C3×D4—41no—
95C22×C3×D4C2311yescharacteristic
96C22×#67—41no—
97C22×D12C2311yescharacteristic
98C3×#131—22no—
99C3×#131—41no—
100C2×C3×M16—21no—
101C2×C3×M16C2311yescharacteristic
102C22×C3×C8—21no—
103C22×C3×C8C2311yescharacteristic
104C3×C4×Q8—21no—
105C3×C4×D4—21no—
106C3×C4×D4—41no—
107C3×#117—21no—
108C3×#117C2311yescharacteristic
109C2×C3×C4⋊C4—21no—
110C2×C3×C4⋊C4C2311yescharacteristic
111#949—22no—
112#949—22no—
113#949C2×C414yescomplemented
114#949C2×C414yescomplemented
115#948—22no—
116#948—41no—
117Q8×Dic3—21no—
118C2×#215—21no—
119C2×#215—21no—
120#940—41no—
121#940C2×C414yescomplemented
122D4×Dic3—21no—
123D4×Dic3—41no—
124C2×#213—21no—
125C2×#213—21no—
126#926—21no—
127#926C2311yescharacteristic
128C2×C4⋊Dic3—21no—
129C2×C4⋊Dic3C2311yescharacteristic
130C2×Dic3⋊C4—41no—
131C2×C4×Dic3C2311yescharacteristic
132C2×#208—21no—
133C2×#208C2311yescharacteristic
134C2×#208C2311yescharacteristic
135C2×#208C2311yescharacteristic
136C22×C3⋊C8—21no—
137C22×C3⋊C8C2311yescharacteristic
138#893—21no—
139#893—21no—
140D3×C22⋊C4—41no—
141C4×D12—21no—
142C4×D12—21no—
143C3×#103—21no—
144C3×#103D411yescharacteristic, complemented
145C3×#103D411yescharacteristic, complemented
146C3×#102—21no—
147C3×#102—21no—
148C3×#102—21no—
149C3×#102—21no—
150C3×#102—21no—
151C3×#102D411yescharacteristic, complemented
152C3×#102D411yescharacteristic, complemented
153#837C2×C414yescomplemented
154#837C2×C414yescomplemented
155#835—21no—
156#835D411yescharacteristic, complemented
157#835D411yescharacteristic, complemented
158#833C2×C414yescomplemented
159#832—21no—
160#832—21no—
161#832—21no—
162#832—21no—
163#832—21no—
164#832D411yescharacteristic, complemented
165#832D411yescharacteristic, complemented
166#823—41no—
167#821—21no—
168#821—21no—
169#815—21no—
170C8×Dic3—21no—
171C8×Dic3—41no—
172#809—21no—
173#809—21no—
174#808—21no—
175#808—21no—
176#807—21no—
177#807—21no—
178#803—21no—
179C4×C3⋊C8—21no—
180C2×H(5,𝔽2)C2×D311yescharacteristic
181C2×AGL(1,ℤ/8)—31no—
182C2×AGL(1,ℤ/8)—31no—
183C2×#131—31no—
184C2×#131C2×D311yescharacteristic
185C2×#127—31no—
186#520—31no—
187#520C2×D311yescharacteristic
188#518—31no—
189#453—38no—
190#442—61no—
191#442—61no—
192#440—61no—
193#440—61no—
194C4×SD16—61no—
195C4×SD16—61no—
196C4×D8—61no—
197C4×D8—61no—
198#428—31no—
199#428—31no—
200C2×#104—31no—
201C2×#104—31no—
202#418—21no—
203#418—31no—
204#418—61no—
205#418C2×D311yescharacteristic
206#417—21no—
207#417—31no—
208#417—61no—
209#417C2×D311yescharacteristic
210#416—21no—
211#416—31no—
212#416—61no—
213#416C2×D311yescharacteristic
214C2×#102—21no—
215C2×#102—31no—
216C2×#102—31no—
217C2×#102—31no—
218C2×#102—61no—
219C2×#102C2×D311yescharacteristic
220C2×#100—31no—
221C2×#100—31no—
222#405—31no—
223#405—31no—
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—
233C24×C3—41no—
234C23×D3—21no—
235C3×#41—21no—
236C3×#41—21no—
237C3×#41—21no—
238C3×#41—21no—
239C3×#41—24no—
240C3×#41—24no—
241C3×#41—42no—
242C3×#41—42no—
243C3×#41C22×C412yes—
244C3×#41C22×C412yes—
245C3×#41#4112yes—
246C3×#41#4112yes—
247C2×C3×Q8C2×D411yescharacteristic
248C2×C3×Q8C2×D411yescharacteristic
249C2×C3×D4—21no—
250C2×C3×D4—21no—
251C2×C3×D4—24no—
252C2×C3×D4—24no—
253C2×C3×D4—21no—
254C2×C3×D4—21no—
255C2×C3×D4—21no—
256C2×C3×D4—21no—
257C2×C3×D4—21no—
258C2×C3×D4—42no—
259C2×C3×D4—42no—
260C2×C3×D4—41no—
261C2×C3×D4—41no—
262C2×C3×D4—44no—
263C2×C3×D4—44no—
264C2×C3×D4C22×C412yes—
265C2×C3×D4C2×D411yescharacteristic
266C2×C3×D4C2×D411yescharacteristic
267C22×C3×C4—21no—
268C22×C3×C4—21no—
269C22×C3×C4—21no—
270C22×C3×C4—41no—
271C22×C3×C4—41no—
272C22×C3×C4C2411yescharacteristic
273C2×#67—44no—
274C2×#67—82no—
275C2×#67—82no—
276C22×Dic3—21no—
277C22×Dic3—21no—
278C22×Dic3—41no—
279C2×D12—21no—
280C2×D12—21no—
281C2×D12—21no—
282C2×D12—21no—
283C2×D12—21no—
284C2×D12C22×C412yes—
285C2×C4×D3—41no—
286C2×C4×D3—41no—
287C3×M16—21no—
288C3×M16—21no—
289C3×M16—42no—
290C2×C3×C8—21no—
291C2×C3×C8—21no—
292C2×C3×C8—21no—
293C2×C3×C8—42no—
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×C22⋊C4—21no—
302C3×C22⋊C4—41no—
303C3×C42—21no—
304C3×C42—41no—
305#217—21no—
306#217—41no—
307#215—24no—
308#215—24no—
309#213—24no—
310#213—24no—
311(C2×D3)⋊C4—41no—
312(C2×D3)⋊C4—41no—
313C4⋊Dic3—21no—
314C4⋊Dic3—21no—
315C4⋊Dic3—41no—
316C4⋊Dic3C2×D411yescharacteristic
317C4⋊Dic3C2×D411yescharacteristic
318Dic3⋊C4—82no—
319C4×Dic3—21no—
320C4×Dic3—21no—
321C4×Dic3—41no—
322C4×Dic3C22×C412yes—
323#208—21no—
324#208—21no—
325#208—21no—
326#208—21no—
327#208—42no—
328#208C22×C412yes—
329#208C22×C412yes—
330C2×C3⋊C8—21no—
331C2×C3⋊C8—21no—
332C2×C3⋊C8—21no—
333C2×C3⋊C8—21no—
334C2×C3⋊C8—21no—
335C2×C3⋊C8—42no—
336C2×C3⋊C8C2×D411yescharacteristic
337C2×C3⋊C8C2×D411yescharacteristic
338H(5,𝔽2)—22no—
339H(5,𝔽2)—22no—
340H(5,𝔽2)—41no—
341H(5,𝔽2)C4×D314yescomplemented
342C2×#41—21no—
343C2×#41—21no—
344C2×#41C22×D311yescharacteristic
345C2×#41C22×D311yescharacteristic
346C22×D4—21no—
347C22×D4—21no—
348C22×D4—31no—
349C22×D4—41no—
350C22×D4—121no—
351C22×D4C22×D311yescharacteristic
352AGL(1,ℤ/8)—34no—
353AGL(1,ℤ/8)—34no—
354AGL(1,ℤ/8)—62no—
355AGL(1,ℤ/8)—62no—
356C2×SD16—61no—
357C2×SD16—61no—
358C2×D8—61no—
359C2×D8—61no—
360#131—22no—
361#131—41no—
362#131—62no—
363#131—121no—
364C2×M16—21no—
365C2×M16—31no—
366C2×M16—31no—
367C2×M16—31no—
368C2×M16—61no—
369C2×M16C22×D311yescharacteristic
370C22×C8—21no—
371C22×C8—31no—
372C22×C8—61no—
373C22×C8C22×D311yescharacteristic
374#127—34no—
375#127—121no—
376C4×Q8—21no—
377C4×Q8—61no—
378C4×D4—21no—
379C4×D4—41no—
380C4×D4—61no—
381C4×D4—61no—
382C4×D4—61no—
383C4×D4—61no—
384C4×D4—61no—
385C4×D4—121no—
386#117—21no—
387#117—31no—
388#117—61no—
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—121no—
396C2×C42—31no—
397#107—61no—
398#107—61no—
399#106—61no—
400#106—61no—
401#104—34no—
402#104—34no—
403#103—21no—
404#103—31no—
405#103—31no—
406#103—61no—
407#103#6711yescharacteristic, complemented
408#103#6711yescharacteristic, complemented
409#102—21no—
410#102—21no—
411#102—21no—
412#102—21no—
413#102—21no—
414#102—31no—
415#102—31no—
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—61no—
430#97—61no—
431C4×C8—61no—
432C4×C8—61no—
433C4×C8—121no—
434C23×C3—21no—
435C23×C3—21no—
436C23×C3—22no—
437C23×C3—44no—
438C23×C3—41no—
439C23×C3—41no—
440C23×C3—81no—
441C23×C3—81no—
442C23×C3—161no—
443C23×C3—161no—
444C23×C3H(5,𝔽2)11yescharacteristic
445C22×D3—22no—
446C22×D3—41no—
447C22×D3—41no—
448C22×D3—81no—
449C22×D3—81no—
450C3×Q8—21no—
451C3×Q8—21no—
452C3×Q8C4×D412yes—
453C3×Q8C4×D412yes—
454C3×D4—22no—
455C3×D4—22no—
456C3×D4—22no—
457C3×D4—22no—
458C3×D4—22no—
459C3×D4—22no—
460C3×D4—21no—
461C3×D4—21no—
462C3×D4—44no—
463C3×D4—44no—
464C3×D4—41no—
465C3×D4—41no—
466C3×D4C4×D412yes—
467C3×D4C4×D412yes—
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—21no—
475C2×C3×C4—21no—
476C2×C3×C4—44no—
477C2×C3×C4—41no—
478C2×C3×C4—81no—
479C2×C3×C4—161no—
480C2×C3×C4C23×C411yescharacteristic
481C2×C3×C4C22×D411yescharacteristic
482C2×C3×C4C22×D411yescharacteristic
483C2×C3×C4C2×#4111yescharacteristic
484C2×C3×C4C2×#4111yescharacteristic
485C2×C3×C4H(5,𝔽2)11yescharacteristic
486#67—88no—
487C2×Dic3—22no—
488C2×Dic3—22no—
489C2×Dic3—22no—
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—41no—
493C2×Dic3—81no—
494C2×Dic3—161no—
495D12—22no—
496D12—22no—
497D12—41no—
498D12—41no—
499C4×D3—161no—
500C4×D3—161no—
501C3×C8—21no—
502C3×C8—21no—
503C3×C8—41no—
504C3⋊C8—22no—
505C3⋊C8—22no—
506C3⋊C8—21no—
507C3⋊C8—21no—
508C3⋊C8—41no—
509C24—21no—
510C24—41no—
511C24—61no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—24no—
517#41—24no—
518#41—42no—
519#41—42no—
520#41C2×C4×D312yes—
521#41C2×C4×D312yes—
522#41#23512yes—
523#41#23712yes—
524C2×Q8D3×D411yescharacteristic
525C2×Q8C2×#6711yescharacteristic
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—24no—
529C2×D4—24no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—32no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—41no—
539C2×D4—41no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—61no—
543C2×D4—61no—
544C2×D4—61no—
545C2×D4—61no—
546C2×D4—61no—
547C2×D4—124no—
548C2×D4—242no—
549C2×D4—242no—
550C2×D4C2×C4×D312yes—
551C2×D4D3×D411yescharacteristic
552C2×D4C2×#6711yescharacteristic
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—41no—
557C22×C4—41no—
558C22×C4—61no—
559C22×C4—61no—
560C22×C4—121no—
561C22×C4—121no—
562C22×C4—121no—
563C22×C4C23×D311yescharacteristic
564SD16—64no—
565SD16—64no—
566D8—64no—
567D8—64no—
568M16—21no—
569M16—21no—
570M16—32no—
571M16—32no—
572M16—42no—
573M16—61no—
574M16—61no—
575M16—61no—
576M16—61no—
577M16—122no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—31no—
582C2×C8—31no—
583C2×C8—42no—
584C2×C8—61no—
585C2×C8—61no—
586C2×C8—61no—
587C2×C8—61no—
588C2×C8—61no—
589C2×C8—122no—
590C2×C8C2×#6711yescharacteristic
591C2×C8C2×#6711yescharacteristic
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—41no—
597C4⋊C4—61no—
598C4⋊C4—61no—
599C4⋊C4—121no—
600C4⋊C4—242no—
601C4⋊C4C2×#6711yescharacteristic
602C4⋊C4C2×#6711yescharacteristic
603C22⋊C4—21no—
604C22⋊C4—41no—
605C22⋊C4—61no—
606C22⋊C4—121no—
607C22⋊C4—121no—
608C22⋊C4—121no—
609C42—21no—
610C42—32no—
611C42—41no—
612C42—61no—
613C42—61no—
614C42—121no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—22no—
618C22×C3—22no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—42no—
624C22×C3—82no—
625C22×C3—81no—
626C22×C3—81no—
627C22×C3—161no—
628C22×C3—164no—
629C22×C3#51811yescharacteristic
630C22×C3D4211yescharacteristic
631C22×C3#55111yescharacteristic
632C2×D3—42no—
633C2×D3—81no—
634C2×D3—81no—
635C2×D3—82no—
636C2×D3—161no—
637C3×C4—22no—
638C3×C4—22no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—81no—
642C3×C4C2×C4×D411yescharacteristic
643C3×C4C2×C4×D411yescharacteristic
644C3×C4#54611yescharacteristic
645C3×C4#54611yescharacteristic
646Dic3—24no—
647Dic3—41no—
648Dic3—41no—
649Dic3—81no—
650C23—21no—
651C23—21no—
652C23—22no—
653C23—44no—
654C23—41no—
655C23—41no—
656C23—62no—
657C23—81no—
658C23—81no—
659C23—121no—
660C23—121no—
661C23—161no—
662C23—161no—
663C23—241no—
664C23—241no—
665C23#100411yescharacteristic
666Q8—21no—
667Q8—21no—
668Q8#67⋊C412yes—
669Q8C4×#6712yes—
670D4—22no—
671D4—22no—
672D4—22no—
673D4—22no—
674D4—22no—
675D4—21no—
676D4—22no—
677D4—21no—
678D4—44no—
679D4—44no—
680D4—41no—
681D4—41no—
682D4—62no—
683D4—62no—
684D4—121no—
685D4—121no—
686D4—248no—
687D4#67⋊C412yes—
688D4C4×#6712yes—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—44no—
698C2×C4—41no—
699C2×C4—62no—
700C2×C4—62no—
701C2×C4—62no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—81no—
705C2×C4—121no—
706C2×C4—161no—
707C2×C4—241no—
708C2×C4—481no—
709C2×C4—481no—
710C2×C4—481no—
711C2×C4C22×C4×D311yescharacteristic
712C2×C4C2×#23511yescharacteristic
713C2×C4C2×D3×D411yescharacteristic
714C2×C4C2×#23711yescharacteristic
715C2×C4#100411yescharacteristic
716C2×C4C22×#6711yescharacteristic
717C8—21no—
718C8—21no—
719C8—41no—
720C8—62no—
721C8—61no—
722C8—61no—
723C8—62no—
724C8—121no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—42no—
728C2×C3—42no—
729C2×C3—82no—
730C2×C3#235811yescharacteristic
731C2×C3#329111yescharacteristic
732C2×C3#329211yescharacteristic
733D3—82no—
734C22—21no—
735C22—21no—
736C22—22no—
737C22—22no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—42no—
743C22—82no—
744C22—81no—
745C22—81no—
746C22—122no—
747C22—161no—
748C22—164no—
749C22—242no—
750C22—241no—
751C22—241no—
752C22—481no—
753C22#548611yescharacteristic
754C22#549511yescharacteristic
755C22D4×#6711yescharacteristic
756C4—22no—
757C4—22no—
758C4—41no—
759C4—41no—
760C4—64no—
761C4—81no—
762C4—121no—
763C4—121no—
764C4—241no—
765C4C2×#67⋊C411yescharacteristic
766C4#549011yescharacteristic
767C4C2×C4×#6711yescharacteristic
768C4#580611yescharacteristic
769C3#2289711yescharacteristic, complemented, Sylow
770C2—21no—
771C2—21no—
772C2—42no—
773C2—42no—
774C2—82no—
775C2—242no—
776C2#8209911yescharacteristic
777C2#8401011yescharacteristic
778C2#8401411yescharacteristic
subgroupG/H
centerC22D4×#67
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#2897C2
socleC22×C3D42
prime radicalC2×#5241C2
cosocleC22×C3×C4C24
hypercenter#2897D3
hypocenterC3#22897
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2897

Complements

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

NH ≅ G/Ntype
1. C3×#2897C2semidirect
3. #84099C2semidirect
4. #82564C2semidirect
5. #78820C2semidirect
6. #72018C2semidirect
7. #72008C2semidirect
8. #71664C2semidirect
9. #70323C2semidirect
10. #70318C2semidirect
11. #70303C2semidirect
12. #70297C2semidirect
13. #70289C2semidirect
14. #70195C2semidirect
15. #70157C2semidirect
25. #5521C22semidirect
34. #5241C4semidirect
46. C2×#823C22semidirect
47. C2×#821C22semidirect
48. #5101C22semidirect
49. C2×C8×Dic3C22semidirect
54. #4997C22semidirect
55. #4995C22semidirect
56. #4975C22semidirect
57. C2×#809C22semidirect
58. #4964C22semidirect
63. #4558C22semidirect
64. #4555C22semidirect
65. #4554C22semidirect
66. #4552C22semidirect
67. #4532C22semidirect
68. #4530C22semidirect
73. #2897D3semidirect
87. C3×H(5,𝔽2)C2×C4semidirect
113. #949C2×C4semidirect
114. #949C2×C4semidirect
121. #940C2×C4semidirect
144. C3×#103D4semidirect
145. C3×#103D4semidirect
151. C3×#102D4semidirect
152. C3×#102D4semidirect
153. #837C2×C4semidirect
154. #837C2×C4semidirect
156. #835D4semidirect
157. #835D4semidirect
158. #833C2×C4semidirect
164. #832D4semidirect
165. #832D4semidirect
341. H(5,𝔽2)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×#28972
C2×#52412
#840992
#825642
#788202
#720182
#720082
#716642
#703232
#703182
#703032
#702972
#702892
#701952
#701572
#228973