Finite Group Databasebeta

← #10801458

Subgroups — #10801458

Order 768.

1140 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#4889C211yesmaximal, characteristic, complemented
2C2×#4762C211yesmaximal, characteristic
3C2×#4757C211yesmaximal, characteristic, complemented
4#76293C211yesmaximal, characteristic
5C4×#887C211yesmaximal, characteristic, complemented
6C3×#1925C211yesmaximal, characteristic, complemented
7#70615C211yesmaximal, characteristic, complemented
8#70161C211yesmaximal, characteristic
9#70152C211yesmaximal, characteristic, complemented
10#69660C211yesmaximal, characteristic, complemented
11#69462C211yesmaximal, characteristic, complemented
12#68904C211yesmaximal, characteristic, complemented
13#68782C211yesmaximal, characteristic, complemented
14#68686C211yesmaximal, characteristic, complemented
15#68603C211yesmaximal, characteristic, complemented
16#21505—31nomaximal, Sylow
17C2×#940C2211yescharacteristic
18C2×D4×Dic3C2211yescharacteristic
19C22×#214C2211yescharacteristic
20C22×#204C2211yescharacteristic
21C2×#893C2211yescharacteristic
22C2×#887C2211yescharacteristic
23C2×#887C2211yescharacteristic
24C2×#67⋊C4—21no—
25C2×#67⋊C4—21no—
26C2×C4×Dic6C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C3×#390C2211yescharacteristic
31C3×C4×C4⋊C4C2211yescharacteristic
32C2×#832C2211yescharacteristic
33C2×#821C2211yescharacteristic
34C2×#816C2211yescharacteristic
35C2×#815C2211yescharacteristic
36C2×#815C2211yescharacteristic
37C2×Dic3⋊C8C2211yescharacteristic
38C2×Dic3⋊C8C2211yescharacteristic
39#4975C2211yescharacteristic
40Dic3×C4⋊C4C2211yescharacteristic
41Dic3×C4⋊C4C2211yescharacteristic
42C2×#810C2211yescharacteristic
43C2×#809C2211yescharacteristic
44C2×#809C2211yescharacteristic
45C2×#807C2211yescharacteristic
46#4957—21no—
47#4957—21no—
48#4939C2211yescharacteristic
49C4×Dic3⋊C4—21no—
50C42×Dic3—21no—
51C42×Dic3C2211yescharacteristic
52#4889—24no—
53#4762C418yescomplemented
54#4757—24no—
55#4649—21no—
56#4649—21no—
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59#4551C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63C2×#460—31no—
64C2×#440—31no—
65C2×#440—31no—
66C4×#127—31no—
67C42×Q8—31no—
68#1982—31no—
69#1947—31no—
70#1925—31no—
71#1925D311yescharacteristic, complemented
72#1880—31no—
73#1880—31no—
74#1803—31no—
75#1767—31no—
76#1762—31no—
77#1762—31no—
78C22×C3×D4C2311yescharacteristic
79C22×#67—21no—
80C22×#67—21no—
81C23×Dic3—21no—
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×Dic6C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C2×C3×C4⋊C4C2311yescharacteristic
88C2×C3×C4⋊C4C2311yescharacteristic
89C2×C3×C4⋊C4C2311yescharacteristic
90C2×C3×C22⋊C4—21no—
91C2×C3×C22⋊C4—21no—
92C2×C3×C42—21no—
93C2×C3×C42C2311yescharacteristic
94C2×#217—21no—
95#940—22no—
96#940C2×C414yes—
97D4×Dic3—22no—
98D4×Dic3—22no—
99C2×#214—22no—
100C2×#214—22no—
101C2×#214C2×C414yescomplemented
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×C4⋊Dic3C2311yescharacteristic
106C2×C4⋊Dic3C2311yescharacteristic
107C2×Dic3⋊C4—21no—
108C2×Dic3⋊C4—21no—
109C2×Dic3⋊C4—21no—
110C2×Dic3⋊C4—21no—
111C2×Dic3⋊C4—21no—
112C2×C4×Dic3—21no—
113C2×C4×Dic3—21no—
114C2×C4×Dic3—21no—
115C2×C4×Dic3—21no—
116C2×C4×Dic3—21no—
117C2×C4×Dic3D411yescharacteristic
118C2×C4×Dic3D411yescharacteristic
119C2×C4×Dic3D411yescharacteristic
120C2×C4×Dic3D411yescharacteristic
121C2×C4×Dic3C2311yescharacteristic
122C2×C4×Dic3C2311yescharacteristic
123C22×C3⋊C8C2311yescharacteristic
124C22×C3⋊C8C2311yescharacteristic
125C2×#204—22no—
126C2×#204—22no—
127C2×#204C2×C414yescomplemented
128#893—22no—
129#893—22no—
130#887—22no—
131#887—22no—
132#887C2×C414yescomplemented
133#887D414yescomplemented
134#67⋊C4—44no—
135#67⋊C4—44no—
136C4×Dic6—22no—
137C4×Dic6—22no—
138C3×#107—22no—
139C3×#102—22no—
140C3×#102C2×C414yescomplemented
141C3×#95—21no—
142#832—22no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145#821—22no—
146#816—22no—
147#815—22no—
148#815—22no—
149Dic3⋊C8—22no—
150Dic3⋊C8C2×C414yescomplemented
151#810—22no—
152#809—22no—
153#809C2×C414yescomplemented
154#807—22no—
155C22×SD16—31no—
156C22×SD16—31no—
157C2×#127—31no—
158C2×C4×Q8—31no—
159C2×C4×Q8—31no—
160C2×C4×Q8—31no—
161C2×C4×D4—31no—
162C2×C4×D4—31no—
163C2×C4×D4—61no—
164C2×C4×D4—61no—
165#460—38no—
166#440—64no—
167#440—64no—
168C2×#107—31no—
169C2×#107C2×D311yescharacteristic
170C2×C4⋊C8—31no—
171C2×C4⋊C8—31no—
172C2×#103—31no—
173C2×#103—31no—
174C2×#102—31no—
175C2×#102—31no—
176C2×#102—31no—
177C2×#102—31no—
178C2×#102C2×D311yescharacteristic
179C2×#102C2×D311yescharacteristic
180C2×#97—31no—
181C2×#97—31no—
182#390—31no—
183#390—61no—
184#390—61no—
185#390C2×D311yescharacteristic
186#384—31no—
187C4×C4⋊C4—31no—
188C4×C4⋊C4—31no—
189C4×C4⋊C4—61no—
190C4×C4⋊C4—61no—
191C4×C4⋊C4—61no—
192C4×C4⋊C4C2×D311yescharacteristic
193C43—31no—
194C43—61no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340C2×D311yescharacteristic
199#336—31no—
200#336C2×D311yescharacteristic
201C24×C3—21no—
202C23×D3—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4C22×C412yes—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2411yescharacteristic
215C2×#67—24no—
216C2×#67—24no—
217C2×#67—42no—
218C2×#67—42no—
219C2×#67—42no—
220C2×#67—42no—
221C22×Dic3—21no—
222C22×Dic3—21no—
223C22×Dic3—21no—
224C22×Dic3—42no—
225C22×Dic3—42no—
226C22×Dic3—42no—
227C22×Dic3C2×D411yescharacteristic
228C22×Dic3C2×D411yescharacteristic
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231C2×D12—21no—
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12C22×C412yes—
237C2×C4×D3—42no—
238C2×C4×D3—42no—
239C2×C4×D3—42no—
240C2×Dic6—21no—
241C2×Dic6—21no—
242C2×Dic6—21no—
243C2×Dic6C22×C412yes—
244C2×Dic6C2×D412yes—
245C2×Dic6#4112yes—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C2×C3×C8C22×C412yes—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4C22×C412yes—
257C3×C4⋊C4C2×D412yes—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C42—21no—
261C3×C42—21no—
262C3×C42—42no—
263#217—42no—
264#214—28no—
265(C2×D3)⋊C4—42no—
266(C2×D3)⋊C4—42no—
267(C2×D3)⋊C4—42no—
268C4⋊Dic3—21no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3#4112yes—
272Dic3⋊C4—24no—
273Dic3⋊C4—24no—
274Dic3⋊C4—24no—
275Dic3⋊C4—42no—
276Dic3⋊C4—42no—
277C4×Dic3—24no—
278C4×Dic3—22no—
279C4×Dic3—24no—
280C4×Dic3—24no—
281C4×Dic3—22no—
282C4×Dic3—22no—
283C4×Dic3—41no—
284C4×Dic3—42no—
285C4×Dic3—42no—
286C4×Dic3C22×C412yes—
287C4×Dic3C2×D412yes—
288C4×Dic3#4112yes—
289C4×Dic3#4112yes—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8C22×C412yes—
296#204—28no—
297C22×Q8—31no—
298C22×D4—31no—
299C22×D4—61no—
300C22×D4—61no—
301C22×D4C22×D311yescharacteristic
302C23×C4—61no—
303C23×C4—61no—
304C2×SD16—34no—
305C2×SD16—34no—
306C2×SD16—62no—
307C2×SD16—62no—
308C2×SD16—62no—
309C2×SD16—62no—
310C22×C8—31no—
311C22×C8—31no—
312C22×C8C22×D311yescharacteristic
313C22×C8C22×D311yescharacteristic
314#127—34no—
315#127—62no—
316C4×Q8—34no—
317C4×Q8—34no—
318C4×Q8—62no—
319C4×Q8—62no—
320C4×Q8—62no—
321C4×Q8—62no—
322C4×D4—62no—
323C4×D4—62no—
324C4×D4—62no—
325C4×D4—62no—
326C4×D4—124no—
327C4×D4—124no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—61no—
331C2×C4⋊C4—61no—
332C2×C4⋊C4—61no—
333C2×C4⋊C4—61no—
334C2×C4⋊C4—61no—
335C2×C4⋊C4C22×D311yescharacteristic
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C4⋊C4C22×D311yescharacteristic
338C2×C22⋊C4—21no—
339C2×C22⋊C4—21no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C42—21no—
345C2×C42—31no—
346C2×C42—31no—
347C2×C42—31no—
348C2×C42—31no—
349C2×C42—31no—
350C2×C42—31no—
351C2×C42—61no—
352C2×C42—61no—
353C2×C42—61no—
354C2×C42—61no—
355C2×C42—61no—
356C2×C42C22×D311yescharacteristic
357#107—22no—
358#107—62no—
359C4⋊C8—34no—
360C4⋊C8—62no—
361#103—62no—
362#103—62no—
363#102—22no—
364#102—34no—
365#102—62no—
366#102—62no—
367#102—62no—
368#102C4×D314yescomplemented
369#97—62no—
370#97—62no—
371#95—21no—
372#95—61no—
373#95—61no—
374C23×C3—22no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3C22×D411yescharacteristic
382C22×D3—22no—
383C22×D3—41no—
384C22×D3—41no—
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—41no—
389C3×D4—22no—
390C3×D4—22no—
391C3×D4—41no—
392C3×D4—41no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4AGL(1,ℤ/8)12yes—
408C2×C3×C4C23×C411yescharacteristic
409C2×C3×C4C22×D411yescharacteristic
410C2×C3×C4C2×#4111yescharacteristic
411C2×C3×C4C2×#4111yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414#67—48no—
415#67—48no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—22no—
426C2×Dic3—41no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3—84no—
432C2×Dic3C4×D412yes—
433C2×Dic3C4×D412yes—
434C2×Dic3#12112yes—
435C2×Dic3#12112yes—
436C2×Dic3AGL(1,ℤ/8)12yes—
437C2×Dic3#13712yes—
438D12—22no—
439D12—22no—
440D12—41no—
441D12—41no—
442C4×D3—84no—
443Dic6—22no—
444Dic6—22no—
445Dic6—22no—
446Dic6C4×D414yescomplemented
447C3×C8—22no—
448C3×C8—41no—
449C3⋊C8—22no—
450C3⋊C8—41no—
451C24—21no—
452C24—61no—
453C2×Q8—32no—
454C2×Q8—32no—
455C2×Q8—32no—
456C2×Q8—61no—
457C2×Q8—61no—
458C2×Q8—61no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—32no—
465C2×D4—64no—
466C2×D4—64no—
467C2×D4—61no—
468C2×D4—61no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4—122no—
473C2×D4—122no—
474C2×D4—122no—
475C2×D4—122no—
476C2×D4C2×C4×D312yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4—61no—
487C22×C4—122no—
488C22×C4—122no—
489C22×C4—122no—
490C22×C4—122no—
491C22×C4—122no—
492C22×C4—122no—
493C22×C4D3×D411yescharacteristic
494C22×C4D3×D411yescharacteristic
495C22×C4C23×D311yescharacteristic
496SD16—68no—
497SD16—68no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—32no—
504C2×C8—61no—
505C2×C8—61no—
506C2×C8—61no—
507C2×C8—61no—
508C2×C8—61no—
509C2×C8C2×C4×D312yes—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—32no—
515C4⋊C4—64no—
516C4⋊C4—64no—
517C4⋊C4—64no—
518C4⋊C4—61no—
519C4⋊C4—61no—
520C4⋊C4—61no—
521C4⋊C4—122no—
522C4⋊C4—122no—
523C4⋊C4C2×C4×D312yes—
524C4⋊C4D3×D412yes—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—122no—
528C22⋊C4—122no—
529C22⋊C4—122no—
530C22⋊C4—122no—
531C42—21no—
532C42—21no—
533C42—32no—
534C42—32no—
535C42—32no—
536C42—32no—
537C42—42no—
538C42—62no—
539C42—62no—
540C42—64no—
541C42—64no—
542C42—64no—
543C42—62no—
544C42—121no—
545C42—122no—
546C42—122no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—81no—
551C22×C3—81no—
552C22×C3—81no—
553C22×C3—81no—
554C22×C3C2×C4×D411yescharacteristic
555C22×C3C2×#12111yescharacteristic
556C22×C3#52511yescharacteristic
557C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
558C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
559C22×C3C2×#13711yescharacteristic
560C22×C3#57511yescharacteristic
561C2×D3—42no—
562C2×D3—42no—
563C2×D3—42no—
564C2×D3—81no—
565C2×D3—81no—
566C2×D3—81no—
567C2×D3—81no—
568C3×C4—22no—
569C3×C4—41no—
570C3×C4—42no—
571C3×C4—42no—
572C3×C4—81no—
573C3×C4C2×C4×D411yescharacteristic
574C3×C4C4×#4111yescharacteristic
575C3×C4#52911yescharacteristic
576C3×C4#53211yescharacteristic
577Dic3—22no—
578Dic3—22no—
579Dic3—22no—
580Dic3—24no—
581Dic3—42no—
582Dic3—81no—
583Dic3#44014yescomplemented
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—62no—
592C23—121no—
593C23—121no—
594C23—121no—
595C23—121no—
596C23—121no—
597C23—121no—
598C23C2×D3×D411yescharacteristic
599Q8—34no—
600Q8—62no—
601Q8—62no—
602Q8—62no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—62no—
608D4—62no—
609D4—128no—
610D4—128no—
611D4—121no—
612D4—121no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—32no—
621C2×C4—32no—
622C2×C4—32no—
623C2×C4—32no—
624C2×C4—32no—
625C2×C4—32no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—62no—
634C2×C4—61no—
635C2×C4—61no—
636C2×C4—61no—
637C2×C4—61no—
638C2×C4—61no—
639C2×C4—61no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—121no—
644C2×C4—121no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4—244no—
649C2×C4—244no—
650C2×C4#91112yes—
651C2×C4C22×C4×D311yescharacteristic
652C2×C4C2×D3×D411yescharacteristic
653C2×C4D3×#4111yescharacteristic
654C2×C4D3×#4111yescharacteristic
655C2×C4D3×#4111yescharacteristic
656C2×C4D3×#4111yescharacteristic
657C8—22no—
658C8—41no—
659C8—62no—
660C8—121no—
661C2×C3—82no—
662C2×C3C4×#12111yescharacteristic
663C2×C3C2×#44011yescharacteristic
664C2×C3C4×AGL(1,ℤ/8)11yescharacteristic
665C2×C3#303711yescharacteristic
666C2×C3#303811yescharacteristic
667C2×C3#311211yescharacteristic
668C2×C3#311511yescharacteristic
669D3—82no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—122no—
678C22—122no—
679C22—122no—
680C22—241no—
681C22—241no—
682C22—241no—
683C22—241no—
684C22C4×D3×D411yescharacteristic
685C22D3×#12111yescharacteristic
686C22#565611yescharacteristic
687C22C2×#91111yescharacteristic
688C22#576811yescharacteristic
689C22D3×AGL(1,ℤ/8)11yescharacteristic
690C22D3×#13711yescharacteristic
691C4—22no—
692C4—34no—
693C4—41no—
694C4—42no—
695C4—42no—
696C4—64no—
697C4—62no—
698C4—62no—
699C4—62no—
700C4—81no—
701C4—122no—
702C4—241no—
703C4#552211yescharacteristic
704C4C4×D3×D411yescharacteristic
705C4#566811yescharacteristic
706C4#570611yescharacteristic
707C3#2150511yescharacteristic, complemented, Sylow
708C2—82no—
709C2—242no—
710C2#7545211yescharacteristic
711C2C4×#91111yescharacteristic
712C2D3×#44011yescharacteristic
713C2#8033311yescharacteristic
714C2#8059811yescharacteristic
715C2#8127011yescharacteristic
716C2#8135111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1925C2
socleC23×C3C22×D4
prime radicalC2×#940C22
cosocleC22×C3×C4C24
hypercenter#1925D3
hypocenterC3#21505
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1925

Complements

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

NH ≅ G/Ntype
1. C2×#4889C2semidirect
3. C2×#4757C2semidirect
5. C4×#887C2semidirect
6. C3×#1925C2semidirect
7. #70615C2semidirect
9. #70152C2semidirect
10. #69660C2semidirect
11. #69462C2semidirect
12. #68904C2semidirect
13. #68782C2semidirect
14. #68686C2semidirect
15. #68603C2semidirect
53. #4762C4semidirect
71. #1925D3semidirect
101. C2×#214C2×C4semidirect
127. C2×#204C2×C4semidirect
132. #887C2×C4semidirect
133. #887D4semidirect
140. C3×#102C2×C4semidirect
150. Dic3⋊C8C2×C4semidirect
153. #809C2×C4semidirect
368. #102C4×D3semidirect
446. Dic6C4×D4semidirect
583. Dic3#440semidirect
707. C3#21505semidirect

Maximal subgroups

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

subgroupindex
C2×#48892
C2×#47622
C2×#47572
#762932
C4×#8872
C3×#19252
#706152
#701612
#701522
#696602
#694622
#689042
#687822
#686862
#686032
#215053