Finite Group Databasebeta

← #10831701

Subgroups — #10831701

Order 768.

1296 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5727C211yesmaximal, characteristic, complemented
2C2×#4870C211yesmaximal, characteristic, complemented
3C2×#4869C211yesmaximal, characteristic
4#76075C211yesmaximal, characteristic, complemented
5C3×#2058C211yesmaximal, characteristic, complemented
6#71792C211yesmaximal, characteristic, complemented
7#70584C211yesmaximal, characteristic, complemented
8#70565C211yesmaximal, characteristic, complemented
9#69626C211yesmaximal, characteristic, complemented
10#68898C211yesmaximal, characteristic, complemented
11#68897C211yesmaximal, characteristic
12#68893C211yesmaximal, characteristic, complemented
13#68806C211yesmaximal, characteristic, complemented
14#68673C211yesmaximal, characteristic
15#68620C211yesmaximal, characteristic, complemented
16#24338—31nomaximal, Sylow
17C22×D3×Q8—21no—
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×#946—21no—
20C22×D24C2211yescharacteristic
21#5727—24no—
22#5727—24no—
23C2×#896—21no—
24C2×#896—21no—
25C2×#893C2211yescharacteristic
26C2×#893C2211yescharacteristic
27C2×#893C2211yescharacteristic
28C2×#888C2211yescharacteristic
29C2×#888C2211yescharacteristic
30C2×C4×D12C2211yescharacteristic
31C2×C4×Dic6C2211yescharacteristic
32C2×C3×#106C2211yescharacteristic
33C2×C3×#106C2211yescharacteristic
34C3×#389C2211yescharacteristic
35C2×#821C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×#815C2211yescharacteristic
38C2×Dic3⋊C8C2211yescharacteristic
39#4993—21no—
40#4989—21no—
41#4988C2211yescharacteristic
42#4977C2211yescharacteristic
43#4972C2211yescharacteristic
44C2×#809C2211yescharacteristic
45C2×#809C2211yescharacteristic
46C2×#809C2211yescharacteristic
47C2×#809C2211yescharacteristic
48C2×#808C2211yescharacteristic
49#4939C2211yescharacteristic
50#4870—24no—
51#4869—24no—
52#4673—21no—
53#4668—21no—
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#336C2211yescharacteristic
57#4551C2211yescharacteristic
58#4550C2211yescharacteristic
59#4550C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×D4×Q8—31no—
65C2×#476—31no—
66C2×#442—31no—
67#2580—31no—
68#2058—31no—
69#2058D311yescharacteristic, complemented
70#2023—31no—
71#2023—31no—
72#1993—31no—
73#1985—31no—
74#1879—31no—
75#1879—31no—
76#1864—31no—
77#1864—31no—
78#1804—31no—
79C22×C3×Q8—21no—
80C2×D3×Q8—28no—
81C2×D3×Q8—44no—
82C2×D3×Q8—44no—
83C22×D12C2311yescharacteristic
84C22×D12C2311yescharacteristic
85C22×C4×D3—21no—
86C22×C4×D3—21no—
87C22×C4×D3—21no—
88C22×C4×D3—21no—
89C22×Dic6—21no—
90C22×Dic6—21no—
91C22×Dic6D411yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C3×C4⋊Q8—22no—
95C3×C4⋊Q8—22no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C42C2311yescharacteristic
103#946—28no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×C4⋊Dic3D411yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4D411yescharacteristic
119C2×Dic3⋊C4D411yescharacteristic
120C2×C4×Dic3C2311yescharacteristic
121C2×C4×Dic3C2311yescharacteristic
122C22×C3⋊C8C2311yescharacteristic
123C22×C3⋊C8C2311yescharacteristic
124C2×D24—22no—
125C2×D24—22no—
126C2×D24Q814yescomplemented
127#896—28no—
128#896—28no—
129#893—22no—
130#893—22no—
131#893—22no—
132#893—22no—
133#893—22no—
134#893D414yes—
135#888—22no—
136#888—22no—
137#888—22no—
138#888D414yes—
139C4×D12—22no—
140C4×D12—22no—
141C4×Dic6—22no—
142C4×Dic6—22no—
143C3×#106—22no—
144C3×#106—22no—
145C3×#95—21no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149#821—22no—
150#821—22no—
151#815—22no—
152Dic3⋊C8—22no—
153#809—22no—
154#809—22no—
155#809—22no—
156#809—22no—
157#808—22no—
158C23×Q8—61no—
159C22×D8—31no—
160D4×Q8—64no—
161D4×Q8—64no—
162C2×C4⋊Q8—31no—
163C2×C4⋊Q8—31no—
164C2×C4⋊Q8C2×D311yescharacteristic
165C2×C22⋊Q8—61no—
166C2×C22⋊Q8—61no—
167C2×C22⋊Q8—61no—
168C2×C4×Q8—31no—
169C2×C4×D4—31no—
170C2×C4×D4—31no—
171C2×C4×D4—31no—
172C2×C4×D4—31no—
173#476—64no—
174#442—64no—
175C2×#106—31no—
176C2×#106C2×D311yescharacteristic
177C2×#106C2×D311yescharacteristic
178C2×C4⋊C8—31no—
179C2×#102—31no—
180C2×#102—31no—
181C2×#102—31no—
182C2×#102—31no—
183C2×#102—31no—
184C2×#102—31no—
185C2×#97—31no—
186#399—61no—
187#393—61no—
188#390—31no—
189#390—31no—
190#389—31no—
191#389C2×D311yescharacteristic
192#385—61no—
193#385—61no—
194#382—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199#340C2×D311yescharacteristic
200#340C2×D311yescharacteristic
201#336—31no—
202#336—31no—
203#336—31no—
204#336C2×D311yescharacteristic
205C23×D3—21no—
206C23×D3—21no—
207C2×C3×Q8—24no—
208C2×C3×Q8—42no—
209C2×C3×Q8—42no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2411yescharacteristic
217C22×Dic3—21no—
218C22×Dic3—21no—
219C22×Dic3C2×D411yescharacteristic
220C22×Dic3C2×D411yescharacteristic
221C22×Dic3C2×D411yescharacteristic
222C22×Dic3C2×D411yescharacteristic
223D3×Q8—432no—
224C2×D12—21no—
225C2×D12—21no—
226C2×D12—21no—
227C2×D12—21no—
228C2×D12—21no—
229C2×D12—21no—
230C2×D12—21no—
231C2×D12—21no—
232C2×D12C2×D412yes—
233C2×D12C2×Q812yes—
234C2×D12C2×Q812yescomplemented
235C2×D12#4112yes—
236C2×C4×D3—24no—
237C2×C4×D3—24no—
238C2×C4×D3—24no—
239C2×C4×D3—42no—
240C2×C4×D3—42no—
241C2×C4×D3—42no—
242C2×C4×D3—42no—
243C2×C4×D3—42no—
244C2×C4×D3—42no—
245C2×C4×D3—42no—
246C2×C4×D3—81no—
247C2×C4×D3—81no—
248C2×Dic6—22no—
249C2×Dic6—22no—
250C2×Dic6—22no—
251C2×Dic6—24no—
252C2×Dic6—24no—
253C2×Dic6—42no—
254C2×Dic6—42no—
255C2×Dic6—42no—
256C2×Dic6—42no—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8C2×Q812yescomplemented
263C3×C4⋊C4—24no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—81no—
271C3×C4⋊C4C2×D412yes—
272C3×C4⋊C4C2×D412yes—
273C3×C42—21no—
274C3×C42—21no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—42no—
279(C2×D3)⋊C4—42no—
280(C2×D3)⋊C4—42no—
281(C2×D3)⋊C4—81no—
282(C2×D3)⋊C4—81no—
283C4⋊Dic3—21no—
284C4⋊Dic3—22no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3C2×D412yes—
288Dic3⋊C4—24no—
289Dic3⋊C4—22no—
290Dic3⋊C4—22no—
291Dic3⋊C4—24no—
292Dic3⋊C4—81no—
293C4×Dic3—21no—
294C4×Dic3—21no—
295C4×Dic3C2×D412yes—
296C4×Dic3C2×D412yes—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303D24—28no—
304C22×Q8—21no—
305C22×Q8—31no—
306C22×Q8—61no—
307C22×Q8—61no—
308C22×Q8—68no—
309C22×Q8—124no—
310C22×Q8—124no—
311C22×D4—31no—
312C22×D4—31no—
313C23×C4—61no—
314C23×C4—61no—
315C23×C4—61no—
316C23×C4—61no—
317C2×D8—34no—
318C2×D8—62no—
319C2×D8—62no—
320C22×C8—31no—
321C22×C8—31no—
322C22×C8C22×D311yescharacteristic
323C22×C8C22×D311yescharacteristic
324C4⋊Q8—22no—
325C4⋊Q8—22no—
326C4⋊Q8—34no—
327C4⋊Q8—62no—
328C4⋊Q8—62no—
329C4⋊Q8—62no—
330C22⋊Q8—68no—
331C22⋊Q8—68no—
332C22⋊Q8—68no—
333C4×Q8—62no—
334C4×Q8—62no—
335C4×D4—34no—
336C4×D4—62no—
337C4×D4—62no—
338C4×D4—62no—
339C4×D4—62no—
340C4×D4—62no—
341C4×D4—62no—
342C4×D4—62no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
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⋊C4C22×D311yescharacteristic
354C2×C4⋊C4C22×D311yescharacteristic
355C2×C4⋊C4C22×D311yescharacteristic
356C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C42—31no—
366C2×C42—31no—
367C2×C42C22×D311yescharacteristic
368#106—22no—
369#106—22no—
370#106—62no—
371C4⋊C8—62no—
372#102—62no—
373#102—62no—
374#102—62no—
375#102—62no—
376#102—62no—
377#102—62no—
378#97—62no—
379#95—21no—
380#95—61no—
381#95—61no—
382#95—61no—
383C23×C3C22×D411yescharacteristic
384C22×D3—22no—
385C22×D3—22no—
386C22×D3—22no—
387C22×D3—22no—
388C22×D3—41no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C3×Q8—48no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—21no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4AGL(1,ℤ/8)12yes—
417C2×C3×C4C22×D411yescharacteristic
418C2×C3×C4C22×D411yescharacteristic
419C2×C3×C4C22×Q811yescharacteristic
420C2×C3×C4C2×#4111yescharacteristic
421C2×C3×C42−1+411yescharacteristic
422C2×C3×C42−1+411yescharacteristic
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3#12012yes—
439C2×Dic3#12012yes—
440C2×Dic3AGL(1,ℤ/8)12yes—
441D12—22no—
442D12—22no—
443D12—22no—
444D12—22no—
445D12—22no—
446D12—41no—
447D12—41no—
448D12C22⋊Q814yes—
449C4×D3—48no—
450C4×D3—48no—
451C4×D3—48no—
452C4×D3—84no—
453Dic6—28no—
454Dic6—48no—
455Dic6—48no—
456C3×C8—22no—
457C3×C8—41no—
458C3⋊C8—41no—
459C3⋊C8—41no—
460C24—61no—
461C24—61no—
462C2×Q8—24no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—62no—
466C2×Q8—62no—
467C2×Q8—64no—
468C2×Q8—64no—
469C2×Q8—62no—
470C2×Q8—122no—
471C2×Q8—122no—
472C2×Q8—122no—
473C2×Q8—122no—
474C2×Q8—1232no—
475C2×D4—32no—
476C2×D4—32no—
477C2×D4—32no—
478C2×D4—32no—
479C2×D4—61no—
480C2×D4—61no—
481C2×D4—61no—
482C2×D4—61no—
483C2×D4—61no—
484C2×D4—61no—
485C2×D4—61no—
486C2×D4—61no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—31no—
492C22×C4—31no—
493C22×C4—31no—
494C22×C4—31no—
495C22×C4—64no—
496C22×C4—64no—
497C22×C4—64no—
498C22×C4—61no—
499C22×C4—61no—
500C22×C4—122no—
501C22×C4—122no—
502C22×C4—122no—
503C22×C4—122no—
504C22×C4—122no—
505C22×C4—122no—
506C22×C4—122no—
507C22×C4—241no—
508C22×C4—241no—
509C22×C4D3×D411yescharacteristic
510C22×C4D3×D411yescharacteristic
511C22×C4C23×D311yescharacteristic
512D8—68no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—61no—
519C2×C8—61no—
520C2×C8—61no—
521C2×C8—61no—
522C2×C8—61no—
523C2×C8—61no—
524C2×C8D3×Q812yescomplemented
525C4⋊C4—24no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—32no—
533C4⋊C4—62no—
534C4⋊C4—62no—
535C4⋊C4—62no—
536C4⋊C4—64no—
537C4⋊C4—64no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—81no—
542C4⋊C4—241no—
543C4⋊C4D3×D412yes—
544C4⋊C4D3×D412yes—
545C22⋊C4—64no—
546C22⋊C4—64no—
547C22⋊C4—64no—
548C22⋊C4—122no—
549C22⋊C4—122no—
550C22⋊C4—122no—
551C22⋊C4—241no—
552C22⋊C4—241no—
553C42—21no—
554C42—21no—
555C42—32no—
556C42—32no—
557C42—61no—
558C42—61no—
559C22×C3C2×#12011yescharacteristic
560C22×C3#54811yescharacteristic
561C22×C3D4×Q811yescharacteristic
562C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
563C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
564C22×C3#57711yescharacteristic
565C22×C3#57711yescharacteristic
566C2×D3—24no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—42no—
570C2×D3—42no—
571C2×D3—42no—
572C2×D3—42no—
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—42no—
582C3×C4—42no—
583C3×C4—41no—
584C3×C4—81no—
585C3×C4—81no—
586C3×C4C2×C22⋊Q811yescharacteristic
587C3×C4#53611yescharacteristic
588C3×C4#54811yescharacteristic
589C3×C4D4×Q811yescharacteristic
590Dic3—22no—
591Dic3—22no—
592Dic3—22no—
593Dic3—42no—
594Dic3—41no—
595Dic3—81no—
596C23—62no—
597C23—62no—
598C23—62no—
599C23—62no—
600C23—121no—
601C23—121no—
602C23—121no—
603C23—121no—
604C23—121no—
605C23—121no—
606C23—121no—
607C23—121no—
608C23—121no—
609C23—121no—
610C23C2×D3×D411yescharacteristic
611Q8—48no—
612Q8—68no—
613Q8—128no—
614Q8—128no—
615D4—34no—
616D4—62no—
617D4—62no—
618D4—62no—
619D4—62no—
620D4—62no—
621D4—121no—
622D4—121no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—32no—
631C2×C4—32no—
632C2×C4—32no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—62no—
653C2×C4—128no—
654C2×C4—128no—
655C2×C4—128no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—244no—
662C2×C4#91412yes—
663C2×C4C2×D3×D411yescharacteristic
664C2×C4C2×D3×D411yescharacteristic
665C2×C4C2×D3×Q811yescharacteristic
666C2×C4#100711yescharacteristic
667C2×C4#100711yescharacteristic
668C2×C4D3×#4111yescharacteristic
669C8—22no—
670C8—41no—
671C8—121no—
672C8—121no—
673C2×C3#240911yescharacteristic
674C2×C3#300311yescharacteristic
675C2×C3#301011yescharacteristic
676C2×C3#337311yescharacteristic
677C2×C3#337311yescharacteristic
678C2×C3#338411yescharacteristic
679C2×C3#338411yescharacteristic
680D3—44no—
681D3—82no—
682C22—64no—
683C22—122no—
684C22—122no—
685C22—122no—
686C22—122no—
687C22—122no—
688C22—122no—
689C22—122no—
690C22—122no—
691C22—122no—
692C22—241no—
693C22—241no—
694C22—241no—
695C22—241no—
696C22D3×#12011yescharacteristic
697C22#563311yescharacteristic
698C22#572711yescharacteristic
699C22C2×#91411yescharacteristic
700C22#576211yescharacteristic
701C22D3×AGL(1,ℤ/8)11yescharacteristic
702C22#577811yescharacteristic
703C4—22no—
704C4—42no—
705C4—42no—
706C4—41no—
707C4—62no—
708C4—62no—
709C4—62no—
710C4—81no—
711C4—81no—
712C4—122no—
713C4—121no—
714C4—241no—
715C4D3×C22⋊Q811yescharacteristic
716C4#563311yescharacteristic
717C4#572411yescharacteristic
718C4#572711yescharacteristic
719C3#2433811yescharacteristic, complemented, Sylow
720C2—124no—
721C2—242no—
722C2#7717211yescharacteristic
723C2#8004111yescharacteristic
724C2#8014611yescharacteristic
725C2#8103811yescharacteristic
726C2#8105211yescharacteristic
727C2#8190511yescharacteristic
728C2#8196411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2058C2
socleC23×C3C22×D4
prime radicalC22×D24C22
hypercenter#2058D3
hypocenterC3#24338
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2058

Complements

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

NH ≅ G/Ntype
1. C2×#5727C2semidirect
2. C2×#4870C2semidirect
4. #76075C2semidirect
5. C3×#2058C2semidirect
6. #71792C2semidirect
7. #70584C2semidirect
8. #70565C2semidirect
9. #69626C2semidirect
10. #68898C2semidirect
12. #68893C2semidirect
13. #68806C2semidirect
15. #68620C2semidirect
69. #2058D3semidirect
126. C2×D24Q8semidirect
234. C2×D12C2×Q8semidirect
262. C2×C3×C8C2×Q8semidirect
524. C2×C8D3×Q8semidirect
719. C3#24338semidirect

Maximal subgroups

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

subgroupindex
C2×#57272
C2×#48702
C2×#48692
#760752
C3×#20582
#717922
#705842
#705652
#696262
#688982
#688972
#688932
#688062
#686732
#686202
#243383