Finite Group Databasebeta

← #10909530

Subgroups — #10909530

Order 768.

960 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5137C211yesmaximal, characteristic, complemented
2#82375C211yesmaximal, characteristic
3#82349C211yesmaximal, characteristic
4C2×#4739C211yesmaximal, characteristic, complemented
5C3×#1870C211yesmaximal, characteristic
6#71989C211yesmaximal, characteristic, complemented
7#69964C211yesmaximal, characteristic, complemented
8#69963C211yesmaximal, characteristic, complemented
9#69940C211yesmaximal, characteristic, complemented
10#69937C211yesmaximal, characteristic, complemented
11#69937C211yesmaximal, characteristic, complemented
12#68693C211yesmaximal, characteristic, complemented
13#68685C211yesmaximal, characteristic, complemented
14#68685C211yesmaximal, characteristic, complemented
15#68638C211yesmaximal, characteristic, complemented
16#30427—31nomaximal, Sylow
17C23×Dic6C2211yescharacteristic
18C22×C3×M16C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×#924C2211yescharacteristic
21C2×#924C2211yescharacteristic
22C2×#924C2211yescharacteristic
23C2×#924C2211yescharacteristic
24C22×Dic12C2211yescharacteristic
25C22×Dic12C2211yescharacteristic
26C2×C4×Dic6C2211yescharacteristic
27C2×C3×C22⋊C8C2211yescharacteristic
28C2×C3×C22⋊C8C2211yescharacteristic
29C2×C3×C22⋊C8C2211yescharacteristic
30#5222—21no—
31#5220—21no—
32#5212C2211yescharacteristic
33#5212C2211yescharacteristic
34#5212C2211yescharacteristic
35#5137—24no—
36C2×#818C2211yescharacteristic
37C2×#817C2211yescharacteristic
38C2×#816C2211yescharacteristic
39C2×#816C2211yescharacteristic
40C2×#816C2211yescharacteristic
41C2×#816C2211yescharacteristic
42C2×#816C2211yescharacteristic
43C2×#816C2211yescharacteristic
44C2×#816C2211yescharacteristic
45C2×#816C2211yescharacteristic
46#4983—21no—
47#4979—21no—
48#4947—21no—
49#4946—21no—
50#4944—21no—
51#4944—21no—
52#4936C2211yescharacteristic
53#4929C2211yescharacteristic
54#4929C2211yescharacteristic
55#4739—24no—
56C3×#336C2211yescharacteristic
57C3×#336C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4551C2211yescharacteristic
61#4551C2211yescharacteristic
62C2×#470—31no—
63C2×#451—31no—
64#2536—31no—
65#2409—31no—
66#2097—31no—
67#2077—31no—
68#2074—31no—
69#2036—31no—
70#2036—31no—
71#2001—31no—
72#1894—31no—
73#1878—31no—
74#1878—31no—
75#1870D311yescharacteristic
76#1787—31no—
77C22×C3×D4D411yescharacteristic
78C23×C3×C4C2311yescharacteristic
79C23×C3×C4C2311yescharacteristic
80C23×Dic3—21no—
81C22×Dic6—22no—
82C22×Dic6—22no—
83C22×Dic6—21no—
84C22×Dic6—41no—
85C22×Dic6—41no—
86C22×Dic6—41no—
87C22×Dic6—41no—
88C22×Dic6C2311yescharacteristic
89C22×Dic6C2311yescharacteristic
90C22×Dic6C2311yescharacteristic
91C2×C3×M16—22no—
92C2×C3×M16—41no—
93C2×C3×M16—41no—
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C22×C3×C8C2311yescharacteristic
97C22×C3×C8C2311yescharacteristic
98C3×C4×D4—41no—
99C3×C4×D4—41no—
100C2×C3×C4⋊C4D411yescharacteristic
101C2×C3×C22⋊C4D411yescharacteristic
102C2×C3×C22⋊C4D411yescharacteristic
103C2×C3×C42C2311yescharacteristic
104C2×#217—21no—
105C2×#217—21no—
106C2×#217—21no—
107C2×#217—21no—
108C2×#217—21no—
109C2×#217—21no—
110C2×#217—21no—
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116#924—22no—
117#924—22no—
118#924—22no—
119#924—22no—
120#924—41no—
121#924—41no—
122#924—41no—
123#924—41no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×Dic3⋊C4—21no—
129C2×C4×Dic3—21no—
130C2×Dic12—22no—
131C2×Dic12—22no—
132C2×Dic12—41no—
133C2×Dic12—41no—
134C2×Dic12—41no—
135C2×Dic12D414yescomplemented
136C4×Dic6—41no—
137C4×Dic6—41no—
138C3×C22⋊C8—22no—
139C3×C22⋊C8—41no—
140C3×C22⋊C8—41no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150#818—41no—
151#817—22no—
152#816—22no—
153#816—22no—
154#816—22no—
155#816—22no—
156#816—41no—
157#816—41no—
158#816—41no—
159#816—41no—
160C23×Q8—31no—
161C22×Q16—31no—
162C22×Q16—31no—
163C22×M16C2×D311yescharacteristic
164C2×C22⋊Q8—31no—
165C2×C22⋊Q8—31no—
166C2×C22⋊Q8—31no—
167C2×C22⋊Q8—31no—
168C2×C4×Q8—31no—
169C2×C4×D4C2×D311yescharacteristic
170#470—64no—
171#451—64no—
172C2×#107—31no—
173C2×#106—31no—
174C2×#103—31no—
175C2×#103—31no—
176C2×#103—31no—
177C2×#103—31no—
178C2×#103—31no—
179C2×#103—31no—
180C2×#103—31no—
181C2×#103—31no—
182C2×C22⋊C8C2×D311yescharacteristic
183C2×C22⋊C8C2×D311yescharacteristic
184C2×C22⋊C8C2×D311yescharacteristic
185#398—61no—
186#395—61no—
187#394—61no—
188#393—61no—
189#391—31no—
190#391—31no—
191#388—61no—
192#388—61no—
193#386—61no—
194#385—61no—
195#382—31no—
196#380—31no—
197#380—31no—
198#380—31no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340—31no—
203#336C2×D311yescharacteristic
204#336C2×D311yescharacteristic
205C24×C3C2×D411yescharacteristic
206C24×C3C2×D411yescharacteristic
207C2×C3×D4—22no—
208C2×C3×D4—41no—
209C2×C3×D4—41no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—21no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3—42no—
236C22×Dic3—42no—
237C22×Dic3—42no—
238C2×Dic6—21no—
239C2×Dic6—21no—
240C2×Dic6—21no—
241C2×Dic6—21no—
242C2×Dic6—21no—
243C2×Dic6—21no—
244C2×Dic6—21no—
245C2×Dic6—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—44no—
254C2×Dic6—44no—
255C2×Dic6—44no—
256C2×Dic6—42no—
257C2×Dic6—42no—
258C2×Dic6—42no—
259C2×Dic6—44no—
260C2×Dic6C2×D412yes—
261C2×Dic6C2×D412yes—
262C2×Dic6#4112yes—
263C3×M16—44no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C2×C3×C8—21no—
274C2×C3×C8—21no—
275C2×C3×C8C2×D412yes—
276C3×C4⋊C4—41no—
277C3×C22⋊C4—41no—
278C3×C22⋊C4—41no—
279C3×C42—21no—
280C3×C42—21no—
281#217—42no—
282#217—42no—
283#217—42no—
284#217—42no—
285#217—42no—
286#217—42no—
287#217—42no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3—21no—
295C4⋊Dic3—21no—
296C4⋊Dic3—21no—
297C4⋊Dic3—21no—
298Dic3⋊C4—42no—
299Dic3⋊C4—42no—
300Dic3⋊C4—42no—
301Dic3⋊C4—42no—
302Dic3⋊C4—42no—
303C4×Dic3—42no—
304Dic12—44no—
305Dic12—44no—
306C22×Q8—31no—
307C22×Q8—31no—
308C22×Q8—31no—
309C22×Q8—62no—
310C22×Q8—62no—
311C22×Q8—61no—
312C22×Q8—121no—
313C22×Q8—121no—
314C22×Q8—121no—
315C22×Q8—121no—
316C22×D4D1211yescharacteristic
317C23×C4—61no—
318C23×C4C22×D311yescharacteristic
319C23×C4C22×D311yescharacteristic
320C2×Q16—34no—
321C2×Q16—62no—
322C2×Q16—62no—
323C2×Q16—121no—
324C2×Q16—121no—
325C2×Q16—121no—
326C2×M16—22no—
327C2×M16—41no—
328C2×M16—41no—
329C22×C8C22×D311yescharacteristic
330C22×C8C22×D311yescharacteristic
331C22×C8C22×D311yescharacteristic
332C22×C8C22×D311yescharacteristic
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336C22⋊Q8—62no—
337C22⋊Q8—121no—
338C22⋊Q8—121no—
339C22⋊Q8—121no—
340C22⋊Q8—121no—
341C4×Q8—121no—
342C4×Q8—121no—
343C4×D4—41no—
344C4×D4—41no—
345C2×C4⋊C4—31no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4D1211yescharacteristic
356C2×C22⋊C4—61no—
357C2×C22⋊C4—61no—
358C2×C22⋊C4—61no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4D1211yescharacteristic
364C2×C22⋊C4D1211yescharacteristic
365C2×C42—61no—
366C2×C42C22×D311yescharacteristic
367#107—121no—
368#106—62no—
369#103—62no—
370#103—62no—
371#103—62no—
372#103—62no—
373#103—121no—
374#103—121no—
375#103—121no—
376#103—121no—
377C22⋊C8—22no—
378C22⋊C8—41no—
379C22⋊C8—41no—
380#95—61no—
381#95—61no—
382#95—61no—
383#95—61no—
384#95—61no—
385#95—61no—
386#95—61no—
387#95—61no—
388#95—61no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3—21no—
401C23×C3—21no—
402C23×C3#13712yes—
403C23×C3C22×D411yescharacteristic
404C3×D4—44no—
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—21no—
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×C4C22×D411yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4H(5,𝔽2)11yescharacteristic
428C2×C3×C4H(5,𝔽2)11yescharacteristic
429C2×C3×C4H(5,𝔽2)11yescharacteristic
430C2×C3×C4H(5,𝔽2)11yescharacteristic
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—48no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456Dic6—22no—
457Dic6—22no—
458Dic6—22no—
459Dic6—22no—
460Dic6—22no—
461Dic6—22no—
462Dic6—48no—
463Dic6—41no—
464Dic6—41no—
465Dic6—41no—
466Dic6—41no—
467Dic6—41no—
468Dic6—41no—
469C3×C8—22no—
470C3×C8—41no—
471C3×C8—41no—
472C3×C8—41no—
473C24C2×D1211yescharacteristic
474C24C2×D1211yescharacteristic
475C2×Q8—32no—
476C2×Q8—32no—
477C2×Q8—32no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8—61no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8—61no—
493C2×Q8—122no—
494C2×Q8—122no—
495C2×Q8—122no—
496C2×Q8—124no—
497C2×Q8—124no—
498C2×Q8—124no—
499C2×Q8—124no—
500C2×D4—22no—
501C2×D4—41no—
502C2×D4—41no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—61no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4—122no—
524C22×C4—122no—
525C22×C4—122no—
526C22×C4C2×D1211yescharacteristic
527C22×C4C2×D1211yescharacteristic
528C22×C4C2×D1211yescharacteristic
529C22×C4C2×D1211yescharacteristic
530C22×C4C23×D311yescharacteristic
531Q16—124no—
532Q16—124no—
533M16—44no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8D3×D412yes—
546C4⋊C4—41no—
547C4⋊C4—61no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—122no—
558C4⋊C4—122no—
559C4⋊C4—122no—
560C4⋊C4—122no—
561C4⋊C4—122no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—122no—
565C22⋊C4—122no—
566C22⋊C4—122no—
567C22⋊C4—122no—
568C22⋊C4—122no—
569C22⋊C4—122no—
570C22⋊C4—122no—
571C42—21no—
572C42—21no—
573C42—122no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—41no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—41no—
584C22×C3—41no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3#53411yescharacteristic
589C22×C3D4211yescharacteristic
590C22×C3#54611yescharacteristic
591C22×C3C2×#13711yescharacteristic
592C22×C3#57511yescharacteristic
593C22×C3#57811yescharacteristic
594C22×C3#57811yescharacteristic
595C3×C4—41no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4#53411yescharacteristic
600C3×C4#53811yescharacteristic
601C3×C4#54611yescharacteristic
602C3×C4#56011yescharacteristic
603Dic3—42no—
604Dic3—42no—
605Dic3—42no—
606Dic3—81no—
607Dic3—81no—
608Dic3—81no—
609Dic3—81no—
610Dic3—81no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23#90912yes—
625C23C22×D1211yescharacteristic
626Q8—62no—
627Q8—62no—
628Q8—62no—
629Q8—62no—
630Q8—62no—
631Q8—62no—
632Q8—128no—
633Q8—121no—
634Q8—121no—
635Q8—121no—
636Q8—121no—
637Q8—121no—
638Q8—121no—
639D4—44no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—128no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4C2×D3×D411yescharacteristic
686C2×C4#100411yescharacteristic
687C2×C4#100411yescharacteristic
688C2×C4#100411yescharacteristic
689C2×C4D3×#4111yescharacteristic
690C2×C4#100911yescharacteristic
691C8—22no—
692C8—41no—
693C8—41no—
694C8—41no—
695C2×C3—42no—
696C2×C3—81no—
697C2×C3#266811yescharacteristic
698C2×C3#319611yescharacteristic
699C2×C3#320211yescharacteristic
700C2×C3#327011yescharacteristic
701C2×C3#327711yescharacteristic
702C2×C3#331211yescharacteristic
703C2×C3#332711yescharacteristic
704C22—22no—
705C22—22no—
706C22—22no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22#549311yescharacteristic
719C22D4×D1211yescharacteristic
720C22#555411yescharacteristic
721C22C2×#90911yescharacteristic
722C22#574811yescharacteristic
723C22#575311yescharacteristic
724C22#575311yescharacteristic
725C4—41no—
726C4—41no—
727C4—41no—
728C4—41no—
729C4—122no—
730C4—122no—
731C4—122no—
732C4—241no—
733C4—241no—
734C4—241no—
735C4—241no—
736C4—241no—
737C4#558911yescharacteristic
738C4#561211yescharacteristic
739C4#562011yescharacteristic
740C4#565711yescharacteristic
741C3#3042711yescharacteristic, complemented, Sylow
742C2—42no—
743C2—81no—
744C2#7491011yescharacteristic
745C2#7864711yescharacteristic
746C2#7868211yescharacteristic
747C2#7950711yescharacteristic
748C2#7951111yescharacteristic
749C2#7955911yescharacteristic
750C2#7956211yescharacteristic
subgroupG/H
centerC23C22×D12
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1870C2
socleC23×C3C22×D4
prime radicalC22×C3×D4D4
hypercenter#1870D3
hypocenterC3#30427
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #1870

Complements

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

NH ≅ G/Ntype
1. C2×#5137C2semidirect
4. C2×#4739C2semidirect
6. #71989C2semidirect
7. #69964C2semidirect
8. #69963C2semidirect
9. #69940C2semidirect
10. #69937C2semidirect
11. #69937C2semidirect
12. #68693C2semidirect
13. #68685C2semidirect
14. #68685C2semidirect
15. #68638C2semidirect
135. C2×Dic12D4semidirect
741. C3#30427semidirect

Maximal subgroups

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

subgroupindex
C2×#51372
#823752
#823492
C2×#47392
C3×#18702
#719892
#699642
#699632
#699402
#699372
#686932
#686852
#686382
#304273