Finite Group Databasebeta

← #10831705

Subgroups — #10831705

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×D4×Dic6C211yesmaximal, characteristic, complemented
2C2×#4870C211yesmaximal, characteristic, complemented
3C2×#4785C211yesmaximal, characteristic
4#76075C211yesmaximal, characteristic, complemented
5C3×#1864C211yesmaximal, characteristic, complemented
6#71613C211yesmaximal, characteristic
7#70565C211yesmaximal, characteristic, complemented
8#70172C211yesmaximal, characteristic
9#70169C211yesmaximal, characteristic, complemented
10#70154C211yesmaximal, characteristic, complemented
11#69605C211yesmaximal, characteristic, complemented
12#68898C211yesmaximal, characteristic, complemented
13#68806C211yesmaximal, characteristic, complemented
14#68678C211yesmaximal, characteristic, complemented
15#68620C211yesmaximal, characteristic, complemented
16#24338—31nomaximal, Sylow
17C23×Dic6—21no—
18C2×C3×C4×D4C2211yescharacteristic
19C2×D4×Dic3C2211yescharacteristic
20C2×D4×Dic3C2211yescharacteristic
21C22×#213C2211yescharacteristic
22C2×#924—21no—
23D4×Dic6—24no—
24D4×Dic6—24no—
25C2×#893C2211yescharacteristic
26C2×#888C2211yescharacteristic
27C2×#888C2211yescharacteristic
28C2×#878—21no—
29C2×#878—21no—
30C2×#869C2211yescharacteristic
31C2×C4×Dic6C2211yescharacteristic
32C2×C3×#106C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C3×#389C2211yescharacteristic
36C2×#832C2211yescharacteristic
37C2×#821C2211yescharacteristic
38C2×#821C2211yescharacteristic
39C2×#815C2211yescharacteristic
40C2×Dic3⋊C8C2211yescharacteristic
41#4993—21no—
42#4989—21no—
43#4988C2211yescharacteristic
44#4977C2211yescharacteristic
45#4972C2211yescharacteristic
46C2×#809C2211yescharacteristic
47C2×#808C2211yescharacteristic
48C2×#808C2211yescharacteristic
49#4939C2211yescharacteristic
50#4870—24no—
51#4785—24no—
52#4673—21no—
53#4668—21no—
54C3×#340C2211yescharacteristic
55C3×#336C2211yescharacteristic
56#4551C2211yescharacteristic
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#2058—31no—
70#2023—31no—
71#2023—31no—
72#1993—31no—
73#1985—31no—
74#1879—31no—
75#1879—31no—
76#1864—31no—
77#1864D311yescharacteristic, complemented
78#1804—31no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×Dic3—21no—
82C23×Dic3—21no—
83C22×D12C2311yescharacteristic
84C22×C4×D3—21no—
85C22×Dic6—28no—
86C22×Dic6—21no—
87C22×Dic6—21no—
88C22×Dic6—21no—
89C22×Dic6—44no—
90C22×Dic6—44no—
91C22×Dic6D411yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C3×C4×D4—22no—
95C3×C4×D4—22no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C22⋊C4—21no—
101C2×C3×C42C2311yescharacteristic
102C2×#217—21no—
103C2×#217—21no—
104D4×Dic3—22no—
105D4×Dic3—22no—
106D4×Dic3—22no—
107D4×Dic3D414yes—
108C2×#213—22no—
109C2×#213—22no—
110C2×#213Q814yescomplemented
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3D411yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121#924—28no—
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4D411yescharacteristic
126C2×Dic3⋊C4D411yescharacteristic
127C2×C4×Dic3C2311yescharacteristic
128C2×C4×Dic3C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131#893—22no—
132#893—22no—
133#888—22no—
134#888—22no—
135#888—22no—
136#888D414yes—
137#878—28no—
138#878—28no—
139#869—22no—
140#869—22no—
141C4×Dic6—22no—
142C4×Dic6—22no—
143C3×#106—22no—
144C3×#102—22no—
145C3×#102—22no—
146C3×#95—21no—
147#832—22no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151#821—22no—
152#821—22no—
153#815—22no—
154Dic3⋊C8—22no—
155#809—22no—
156#808—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⋊Q8—31no—
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×D4C2×D311yescharacteristic
173#476—64no—
174#442—64no—
175C2×#106—31no—
176C2×#106—31no—
177C2×#106C2×D311yescharacteristic
178C2×C4⋊C8—31no—
179C2×#102—31no—
180C2×#102—31no—
181C2×#102—31no—
182C2×#102—31no—
183C2×#102C2×D311yescharacteristic
184C2×#102C2×D311yescharacteristic
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#340—31no—
200#340C2×D311yescharacteristic
201#336—31no—
202#336—31no—
203#336—31no—
204#336C2×D311yescharacteristic
205C24×C3—21no—
206C23×D3—21no—
207C2×C3×D4—21no—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4C2×D412yes—
211C2×C3×D4C2×Q812yes—
212C2×C3×D4#4112yes—
213C22×C3×C4—24no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2411yescharacteristic
222C22×Dic3—24no—
223C22×Dic3—21no—
224C22×Dic3—21no—
225C22×Dic3—24no—
226C22×Dic3—21no—
227C22×Dic3—42no—
228C22×Dic3—42no—
229C22×Dic3—42no—
230C22×Dic3—42no—
231C22×Dic3C2×D411yescharacteristic
232C22×Dic3C2×D411yescharacteristic
233C22×Dic3C2×D411yescharacteristic
234C22×Dic3C2×D411yescharacteristic
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12C2×Q812yescomplemented
241C2×C4×D3—42no—
242C2×C4×D3—81no—
243C2×C4×D3—81no—
244C2×Dic6—22no—
245C2×Dic6—22no—
246C2×Dic6—22no—
247C2×Dic6—24no—
248C2×Dic6—24no—
249C2×Dic6—24no—
250C2×Dic6—432no—
251C2×Dic6—42no—
252C2×Dic6—42no—
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×C8—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—81no—
269C3×C4⋊C4C2×D412yes—
270C3×C22⋊C4—24no—
271C3×C42—21no—
272C3×C42—21no—
273#217—24no—
274#217—24no—
275#213—28no—
276(C2×D3)⋊C4—42no—
277(C2×D3)⋊C4—42no—
278(C2×D3)⋊C4—42no—
279(C2×D3)⋊C4—81no—
280(C2×D3)⋊C4—81no—
281C4⋊Dic3—24no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—22no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3C2×D412yes—
288C4⋊Dic3C2×D412yes—
289Dic3⋊C4—24no—
290Dic3⋊C4—22no—
291Dic3⋊C4—22no—
292Dic3⋊C4—24no—
293Dic3⋊C4—81no—
294C4×Dic3—21no—
295C4×Dic3—21no—
296C4×Dic3C2×D412yes—
297C4×Dic3C2×D412yes—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8C2×Q812yescomplemented
304C22×Q8—31no—
305C22×Q8—61no—
306C22×Q8—61no—
307C22×Q8—68no—
308C22×Q8—61no—
309C22×Q8—124no—
310C22×Q8—124no—
311C22×D4—31no—
312C22×D4C22×D311yescharacteristic
313C23×C4—21no—
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—34no—
325C4⋊Q8—62no—
326C4⋊Q8—62no—
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—22no—
336C4×D4—22no—
337C4×D4—34no—
338C4×D4—62no—
339C4×D4—62no—
340C4×D4—62no—
341C4×D4—62no—
342C4×D4—62no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
355C2×C4⋊C4C22×D311yescharacteristic
356C2×C4⋊C4C22×D311yescharacteristic
357C2×C22⋊C4—21no—
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—62no—
370#106—62no—
371C4⋊C8—62no—
372#102—22no—
373#102—22no—
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×C3—22no—
384C23×C3—22no—
385C23×C3—22no—
386C23×C3—41no—
387C23×C3—41no—
388C23×C3—41no—
389C23×C3—41no—
390C23×C3C22×D411yescharacteristic
391C22×D3—22no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C3×D4—22no—
399C3×D4—22no—
400C3×D4—22no—
401C3×D4C22⋊Q814yes—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—22no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—48no—
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×C4—41no—
417C2×C3×C4AGL(1,ℤ/8)12yes—
418C2×C3×C4C22×D411yescharacteristic
419C2×C3×C4C22×D411yescharacteristic
420C2×C3×C4C22×Q811yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C42−1+411yescharacteristic
423C2×C3×C42−1+411yescharacteristic
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—48no—
436C2×Dic3—48no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3#12012yes—
445C2×Dic3#12012yes—
446C2×Dic3AGL(1,ℤ/8)12yes—
447D12—22no—
448D12—22no—
449D12—41no—
450D12—41no—
451C4×D3—84no—
452Dic6—28no—
453Dic6—48no—
454Dic6—48no—
455Dic6—48no—
456C3×C8—41no—
457C3×C8—41no—
458C3⋊C8—22no—
459C3⋊C8—41no—
460C24—21no—
461C24—61no—
462C2×Q8—62no—
463C2×Q8—62no—
464C2×Q8—64no—
465C2×Q8—64no—
466C2×Q8—64no—
467C2×Q8—62no—
468C2×Q8—122no—
469C2×Q8—122no—
470C2×Q8—122no—
471C2×Q8—122no—
472C2×Q8—122no—
473C2×Q8—1232no—
474C2×Q8—122no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—32no—
479C2×D4—61no—
480C2×D4—61no—
481C2×D4—61no—
482C2×D4—61no—
483C2×D4—61no—
484C2×D4#23512yes—
485C2×D4D3×D412yes—
486C2×D4D3×Q812yes—
487C22×C4—24no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—31no—
492C22×C4—31no—
493C22×C4—31no—
494C22×C4—31no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—64no—
498C22×C4—64no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—61no—
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—21no—
519C2×C8—32no—
520C2×C8—61no—
521C2×C8—61no—
522C2×C8—61no—
523C2×C8—61no—
524C2×C8—61no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—32no—
531C4⋊C4—32no—
532C4⋊C4—62no—
533C4⋊C4—62no—
534C4⋊C4—62no—
535C4⋊C4—64no—
536C4⋊C4—64no—
537C4⋊C4—64no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—81no—
543C4⋊C4—241no—
544C4⋊C4D3×D412yes—
545C22⋊C4—24no—
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×C3—24no—
560C22×C3—42no—
561C22×C3—42no—
562C22×C3—42no—
563C22×C3—42no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3C2×#12011yescharacteristic
567C22×C3#54811yescharacteristic
568C22×C3D4×Q811yescharacteristic
569C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
570C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
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—42no—
582C3×C4—41no—
583C3×C4—81no—
584C3×C4—81no—
585C3×C4C2×C22⋊Q811yescharacteristic
586C3×C4#53611yescharacteristic
587C3×C4#54811yescharacteristic
588C3×C4D4×Q811yescharacteristic
589Dic3—22no—
590Dic3—22no—
591Dic3—22no—
592Dic3—42no—
593Dic3—42no—
594Dic3—41no—
595Dic3—81no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—62no—
604C23—121no—
605C23—121no—
606C23—121no—
607C23—121no—
608C23—121no—
609C23—121no—
610C23C2×D3×D411yescharacteristic
611Q8—68no—
612Q8—128no—
613Q8—128no—
614Q8—128no—
615D4—22no—
616D4—22no—
617D4—22no—
618D4—62no—
619D4—62no—
620D4—121no—
621D4—121no—
622D4#89614yes—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—32no—
630C2×C4—32no—
631C2×C4—32no—
632C2×C4—48no—
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—61no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—128no—
653C2×C4—128no—
654C2×C4—121no—
655C2×C4—121no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—244no—
662C2×C4#91412yes—
663C2×C4C2×#23511yescharacteristic
664C2×C4C2×D3×D411yescharacteristic
665C2×C4C2×D3×D411yescharacteristic
666C2×C4C2×D3×Q811yescharacteristic
667C2×C4#101011yescharacteristic
668C2×C4#101011yescharacteristic
669C8—41no—
670C8—41no—
671C8—62no—
672C8—121no—
673C2×C3—44no—
674C2×C3#240911yescharacteristic
675C2×C3#300311yescharacteristic
676C2×C3#301011yescharacteristic
677C2×C3#337311yescharacteristic
678C2×C3#337311yescharacteristic
679C2×C3#338411yescharacteristic
680C2×C3#338411yescharacteristic
681D3—82no—
682C22—24no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—122no—
690C22—122no—
691C22—122no—
692C22—241no—
693C22—241no—
694C22—241no—
695C22—241no—
696C22#555211yescharacteristic
697C22D3×#12011yescharacteristic
698C22#563211yescharacteristic
699C22C2×#91411yescharacteristic
700C22#577011yescharacteristic
701C22D3×AGL(1,ℤ/8)11yescharacteristic
702C22#577511yescharacteristic
703C4—22no—
704C4—42no—
705C4—41no—
706C4—62no—
707C4—62no—
708C4—62no—
709C4—81no—
710C4—81no—
711C4—122no—
712C4—122no—
713C4—121no—
714C4—241no—
715C4C2×#89611yescharacteristic
716C4#555211yescharacteristic
717C4#563211yescharacteristic
718C4#564811yescharacteristic
719C3#2433811yescharacteristic, complemented, Sylow
720C2—44no—
721C2—242no—
722C2#7440511yescharacteristic
723C2#7962911yescharacteristic
724C2#7985311yescharacteristic
725C2#8008611yescharacteristic
726C2#8014611yescharacteristic
727C2#8108911yescharacteristic
728C2#8115811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1864C2
socleC23×C3C22×D4
prime radicalC22×#213C22
hypercenter#1864D3
hypocenterC3#24338
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
1. C2×D4×Dic6C2semidirect
2. C2×#4870C2semidirect
4. #76075C2semidirect
5. C3×#1864C2semidirect
7. #70565C2semidirect
9. #70169C2semidirect
10. #70154C2semidirect
11. #69605C2semidirect
12. #68898C2semidirect
13. #68806C2semidirect
14. #68678C2semidirect
15. #68620C2semidirect
77. #1864D3semidirect
110. C2×#213Q8semidirect
240. C2×D12C2×Q8semidirect
303. C2×C3⋊C8C2×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×D4×Dic62
C2×#48702
C2×#47852
#760752
C3×#18642
#716132
#705652
#701722
#701692
#701542
#696052
#688982
#688062
#686782
#686202
#243383