Finite Group Databasebeta

← #10835963

Subgroups — #10835963

Order 768.

912 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2620C211yesmaximal, characteristic, complemented
2C2×#5057C211yesmaximal, characteristic, complemented
3#82236C211yesmaximal, characteristic, complemented
4C2×#5000C211yesmaximal, characteristic, complemented
5#71721C211yesmaximal, characteristic, complemented
6#71699C211yesmaximal, characteristic, complemented
7#71694C211yesmaximal, characteristic, complemented
8#71684C211yesmaximal, characteristic
9#71680C211yesmaximal, characteristic, complemented
10#69676C211yesmaximal, characteristic, complemented
11#69675C211yesmaximal, characteristic, complemented
12#69648C211yesmaximal, characteristic, complemented
13#69644C211yesmaximal, characteristic, complemented
14#69584C211yesmaximal, characteristic, complemented
15#69568C211yesmaximal, characteristic, complemented
16#24667—31nomaximal, Sylow
17C2×C3×#124C2211yescharacteristic
18C2×C3×C22⋊Q8C2211yescharacteristic
19C2×C3×#121C2211yescharacteristic
20C2×C3×#117C2211yescharacteristic
21C22×#215C2211yescharacteristic
22C22×#213C2211yescharacteristic
23C2×#930C2211yescharacteristic
24C2×C4×D12C2211yescharacteristic
25C3×#396—21no—
26C3×#396—21no—
27C3×#394—21no—
28C3×#394—21no—
29C3×#391C2211yescharacteristic
30C3×#390C2211yescharacteristic
31C3×#384C2211yescharacteristic
32C2×#835C2211yescharacteristic
33C2×#835C2211yescharacteristic
34C2×#835C2211yescharacteristic
35C2×#832C2211yescharacteristic
36C2×#832C2211yescharacteristic
37C2×#832C2211yescharacteristic
38#5212C2211yescharacteristic
39C2×#830C2211yescharacteristic
40C2×#830C2211yescharacteristic
41#5057—24no—
42#5000—24no—
43#4990—21no—
44#4989—21no—
45C2×#809C2211yescharacteristic
46C2×#809C2211yescharacteristic
47C2×#808C2211yescharacteristic
48C2×#808C2211yescharacteristic
49#4957—21no—
50#4956—21no—
51#4939C2211yescharacteristic
52C4×C4⋊Dic3C2211yescharacteristic
53#4928C2211yescharacteristic
54C2×C4⋊(C3⋊C8)C2211yescharacteristic
55C2×C4⋊(C3⋊C8)C2211yescharacteristic
56C2×#803C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62C2×#463—31no—
63C2×#433—31no—
64#2620D311yescharacteristic, complemented
65#2324—31no—
66#2035—31no—
67#2034—31no—
68#2000—31no—
69#1999—31no—
70#1983—31no—
71#1972—31no—
72#1968—31no—
73#1948—31no—
74#1935—31no—
75#1934—31no—
76#1802—31no—
77C22×C3×Q8C2311yescharacteristic
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C22×#67—21no—
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C3×#124—22no—
85C3×#124—22no—
86C3×C22⋊Q8—41no—
87C3×C22⋊Q8—41no—
88C3×#121—41no—
89C3×#121—41no—
90C3×#117—22no—
91C3×#117—22no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4D411yescharacteristic
96C2×C3×C4⋊C4D411yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4—21no—
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4D411yescharacteristic
106C2×C3×C22⋊C4D411yescharacteristic
107C2×C3×C42C2311yescharacteristic
108C2×C3×C42C2311yescharacteristic
109C2×#217—21no—
110C2×#215—22no—
111C2×#215—22no—
112C2×#215—41no—
113C2×#213—22no—
114C2×#213—22no—
115C2×#213—41no—
116#930—22no—
117#930—22no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×(C2×D3)⋊C4—21no—
121C2×(C2×D3)⋊C4—21no—
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×C4⋊Dic3C2311yescharacteristic
125C2×Dic3⋊C4—21no—
126C2×C4×Dic3—21no—
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C4×D12—22no—
132C4×D12—22no—
133C3×#95—21no—
134C3×#95—21no—
135#835—22no—
136#835—22no—
137#835—41no—
138#832—22no—
139#832—22no—
140#832—41no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#830—22no—
145#830—22no—
146#809—41no—
147#809—41no—
148#808—41no—
149#808—41no—
150C4⋊(C3⋊C8)—22no—
151C4⋊(C3⋊C8)D414yescomplemented
152#803—22no—
153C4×C3⋊C8—22no—
154C22×SD16—31no—
155C22×D8—31no—
156C2×#124C2×D311yescharacteristic
157C2×C22⋊Q8C2×D311yescharacteristic
158C2×#121—31no—
159C2×#121C2×D311yescharacteristic
160C2×C4×D4—31no—
161C2×#117C2×D311yescharacteristic
162#463—64no—
163#433—64no—
164C2×#106—31no—
165C2×#106—31no—
166C2×C4⋊C8—31no—
167C2×C4⋊C8—31no—
168C2×#103—31no—
169C2×#103—31no—
170C2×#103—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×#102—31no—
175C2×#102—31no—
176C2×C22⋊C8—31no—
177C2×C22⋊C8—31no—
178C2×#97—31no—
179C2×C4×C8—31no—
180#396—21no—
181#396—21no—
182#394—21no—
183#394—21no—
184#391C2×D311yescharacteristic
185#390—31no—
186#390—61no—
187#390C2×D311yescharacteristic
188#389—31no—
189#388—61no—
190#386—61no—
191#385—61no—
192#384C2×D311yescharacteristic
193#380—31no—
194C4×C4⋊C4—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3—21no—
200C24×C3C2×D411yescharacteristic
201C23×D3—21no—
202C2×C3×Q8—21no—
203C2×C3×Q8—21no—
204C2×C3×Q8—21no—
205C2×C3×Q8—21no—
206C2×C3×Q8—21no—
207C2×C3×Q8—21no—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—42no—
215C2×C3×D4—81no—
216C2×C3×D4—81no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2411yescharacteristic
232C2×#67—24no—
233C2×#67—81no—
234C2×#67—81no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12#4112yes—
244C2×C4×D3—42no—
245C2×C4×D3—81no—
246C2×C4×D3—81no—
247C3×C4⋊C4—22no—
248C3×C4⋊C4—22no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—42no—
254C3×C4⋊C4—81no—
255C3×C4⋊C4—81no—
256C3×C22⋊C4—22no—
257C3×C22⋊C4—22no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—81no—
263C3×C22⋊C4—81no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42C2×D412yes—
267C3×C42#4112yes—
268#217—81no—
269#215—44no—
270#213—44no—
271(C2×D3)⋊C4—24no—
272(C2×D3)⋊C4—42no—
273(C2×D3)⋊C4—81no—
274(C2×D3)⋊C4—81no—
275C4⋊Dic3—21no—
276C4⋊Dic3—21no—
277C4⋊Dic3—21no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3#4112yes—
281Dic3⋊C4—81no—
282C4×Dic3—81no—
283C2×C3⋊C8—21no—
284C2×C3⋊C8—21no—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8C2×D412yes—
294C2×C3⋊C8C2×D412yes—
295C22×Q8C22×D311yescharacteristic
296C22×D4—21no—
297C22×D4—31no—
298C22×D4—61no—
299C22×D4C22×D311yescharacteristic
300C23×C4—61no—
301C23×C4C22×D311yescharacteristic
302C2×SD16—62no—
303C2×SD16—62no—
304C2×SD16—121no—
305C2×D8—62no—
306C2×D8—62no—
307C2×D8—121no—
308C22×C8—31no—
309C22×C8—31no—
310C22×C8—31no—
311C22×C8—31no—
312#124—22no—
313#124—22no—
314C22⋊Q8—41no—
315C22⋊Q8—41no—
316#121—41no—
317#121—41no—
318#121—62no—
319#121—62no—
320C4×D4—62no—
321C4×D4—62no—
322#117—22no—
323#117—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—61no—
331C2×C4⋊C4#6711yescharacteristic
332C2×C4⋊C4#6711yescharacteristic
333C2×C4⋊C4C22×D311yescharacteristic
334C2×C4⋊C4C22×D311yescharacteristic
335C2×C22⋊C4—21no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—21no—
338C2×C22⋊C4—21no—
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4#6711yescharacteristic
347C2×C22⋊C4#6711yescharacteristic
348C2×C42—61no—
349C2×C42C22×D311yescharacteristic
350C2×C42C22×D311yescharacteristic
351#106—121no—
352#106—121no—
353C4⋊C8—34no—
354C4⋊C8—62no—
355#103—62no—
356#103—62no—
357#103—121no—
358#102—62no—
359#102—62no—
360#102—121no—
361#102—121no—
362#102—121no—
363C22⋊C8—62no—
364C22⋊C8—62no—
365#97—62no—
366C4×C8—62no—
367#95—21no—
368#95—21no—
369#95—61no—
370#95—61no—
371#95—61no—
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—21no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3—41no—
385C23×C3—41no—
386C23×C3C22×D411yescharacteristic
387C22×D3—22no—
388C22×D3—41no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3—41no—
394C3×Q8—41no—
395C3×Q8—41no—
396C3×Q8—41no—
397C3×Q8—41no—
398C3×D4—41no—
399C3×D4—41no—
400C3×D4—41no—
401C3×D4—41no—
402C3×D4—84no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4#12112yes—
430C2×C3×C4#12112yes—
431C2×C3×C4C22×D411yescharacteristic
432C2×C3×C4C2×#4111yescharacteristic
433C2×C3×C4C2×#4111yescharacteristic
434C2×C3×C4C2×#4111yescharacteristic
435C2×C3×C4H(5,𝔽2)11yescharacteristic
436C2×C3×C4H(5,𝔽2)11yescharacteristic
437#67—84no—
438C2×Dic3—22no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447D12—22no—
448D12—22no—
449D12—41no—
450D12—41no—
451C4×D3—84no—
452C3⋊C8—22no—
453C3⋊C8—22no—
454C3⋊C8—41no—
455C3⋊C8—41no—
456C24—21no—
457C24—61no—
458C24C2×#6711yescharacteristic
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—32no—
472C2×D4—42no—
473C2×D4—64no—
474C2×D4—61no—
475C2×D4—61no—
476C2×D4—61no—
477C2×D4—61no—
478C2×D4—61no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4—241no—
482C2×D4—241no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—122no—
496C22×C4—241no—
497C22×C4—241no—
498C22×C4C2×#6711yescharacteristic
499C22×C4C2×#6711yescharacteristic
500C22×C4C2×#6711yescharacteristic
501C22×C4C2×#6711yescharacteristic
502C22×C4C2×#6711yescharacteristic
503C22×C4C23×D311yescharacteristic
504SD16—124no—
505D8—124no—
506C2×C8—32no—
507C2×C8—32no—
508C2×C8—61no—
509C2×C8—61no—
510C2×C8—61no—
511C2×C8—61no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C2×C8—61no—
516C2×C8—61no—
517C2×C8—61no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—32no—
525C4⋊C4—42no—
526C4⋊C4—61no—
527C4⋊C4—61no—
528C4⋊C4—61no—
529C4⋊C4—61no—
530C4⋊C4—61no—
531C4⋊C4—81no—
532C4⋊C4—81no—
533C4⋊C4—241no—
534C22⋊C4—22no—
535C22⋊C4—22no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—64no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—122no—
544C22⋊C4—241no—
545C22⋊C4—241no—
546C22⋊C4—241no—
547C42—21no—
548C42—21no—
549C42—241no—
550C42D3×D412yes—
551C42#23712yes—
552C22×C3—41no—
553C22×C3—41no—
554C22×C3—41no—
555C22×C3—41no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—41no—
559C22×C3—81no—
560C22×C3—81no—
561C22×C3—81no—
562C22×C3—81no—
563C22×C3—81no—
564C22×C3—81no—
565C22×C3—81no—
566C22×C3C2×#12111yescharacteristic
567C22×C3#52511yescharacteristic
568C22×C3#53511yescharacteristic
569C22×C3#57611yescharacteristic
570C22×C3#57711yescharacteristic
571C22×C3#57711yescharacteristic
572C22×C3#57711yescharacteristic
573C2×D3—42no—
574C2×D3—42no—
575C2×D3—42no—
576C2×D3—81no—
577C2×D3—81no—
578C2×D3—81no—
579C2×D3—81no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—41no—
583C3×C4—41no—
584C3×C4—41no—
585C3×C4—81no—
586C3×C4—81no—
587C3×C4—81no—
588C3×C4#54611yescharacteristic
589C3×C4#55011yescharacteristic
590C3×C4#55311yescharacteristic
591C3×C4#55511yescharacteristic
592Dic3—42no—
593Dic3—81no—
594Dic3—81no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—62no—
610C23—121no—
611C23—121no—
612C23—121no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23C22×#6711yescharacteristic
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—62no—
626D4—62no—
627D4—84no—
628D4—121no—
629D4—121no—
630D4—244no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—62no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—244no—
667C2×C4#93912yes—
668C2×C4#93912yes—
669C2×C4C2×D3×D411yescharacteristic
670C2×C4C2×#23711yescharacteristic
671C2×C4#100411yescharacteristic
672C2×C4#100411yescharacteristic
673C2×C4D3×#4111yescharacteristic
674C2×C4D3×#4111yescharacteristic
675C8—62no—
676C8—62no—
677C8—121no—
678C8—121no—
679C2×C3—81no—
680C2×C3—161no—
681C2×C3#241411yescharacteristic
682C2×C3#306011yescharacteristic
683C2×C3#306211yescharacteristic
684C2×C3#311811yescharacteristic
685C2×C3#312511yescharacteristic
686C2×C3#322111yescharacteristic
687C2×C3#322411yescharacteristic
688D3—82no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—122no—
704C22—122no—
705C22—122no—
706C22—241no—
707C22—241no—
708C22—241no—
709C22—241no—
710C22C2×#93911yescharacteristic
711C22#580511yescharacteristic
712C22#582811yescharacteristic
713C22#583511yescharacteristic
714C22#583611yescharacteristic
715C22#583711yescharacteristic
716C22#583711yescharacteristic
717C4—22no—
718C4—22no—
719C4—41no—
720C4—41no—
721C4—41no—
722C4—81no—
723C4—81no—
724C4—81no—
725C4—122no—
726C4—241no—
727C4—241no—
728C4#559911yescharacteristic
729C4#561211yescharacteristic
730C4#561411yescharacteristic
731C4#561611yescharacteristic
732C3#2466711yescharacteristic, complemented, Sylow
733C2—81no—
734C2—161no—
735C2—242no—
736C2#8270411yescharacteristic
737C2#8338911yescharacteristic
738C2#8340911yescharacteristic
739C2#8342011yescharacteristic
740C2#8342211yescharacteristic
741C2#8346011yescharacteristic
742C2#8346211yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2620C2
socleC23×C3C22×D4
prime radical#71684C2
hypercenter#2620D3
hypocenterC3#24667
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2620

Complements

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

NH ≅ G/Ntype
1. C3×#2620C2semidirect
2. C2×#5057C2semidirect
3. #82236C2semidirect
4. C2×#5000C2semidirect
5. #71721C2semidirect
6. #71699C2semidirect
7. #71694C2semidirect
9. #71680C2semidirect
10. #69676C2semidirect
11. #69675C2semidirect
12. #69648C2semidirect
13. #69644C2semidirect
14. #69584C2semidirect
15. #69568C2semidirect
64. #2620D3semidirect
151. C4⋊(C3⋊C8)D4semidirect
732. C3#24667semidirect

Maximal subgroups

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

subgroupindex
C3×#26202
C2×#50572
#822362
C2×#50002
#717212
#716992
#716942
#716842
#716802
#696762
#696752
#696482
#696442
#695842
#695682
#246673