Finite Group Databasebeta

← #10801404

Subgroups — #10801404

Order 768.

1136 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5165C211yesmaximal, characteristic
2C2×Dic3×SD16C211yesmaximal, characteristic, complemented
3C4×D4×Dic3C211yesmaximal, characteristic, complemented
4C2×#4756C211yesmaximal, characteristic
5#76480C211yesmaximal, characteristic, complemented
6C3×#1877C211yesmaximal, characteristic, complemented
7#71613C211yesmaximal, characteristic
8#70230C211yesmaximal, characteristic, complemented
9Dic3×#103C211yesmaximal, characteristic, complemented
10#70154C211yesmaximal, characteristic, complemented
11#69667C211yesmaximal, characteristic, complemented
12#68797C211yesmaximal, characteristic, complemented
13#68780C211yesmaximal, characteristic, complemented
14#68626C211yesmaximal, characteristic, complemented
15#68602C211yesmaximal, characteristic, complemented
16C4×#463—31nomaximal, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×#947C2211yescharacteristic
20C2×Q8×Dic3C2211yescharacteristic
21C2×D4×Dic3C2211yescharacteristic
22C2×D4×Dic3C2211yescharacteristic
23C22×#213C2211yescharacteristic
24C22×C4×Dic3—21no—
25C2×#893C2211yescharacteristic
26C2×C3×#103C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C3×#391C2211yescharacteristic
29C2×#835C2211yescharacteristic
30C2×#835C2211yescharacteristic
31C2×#832C2211yescharacteristic
32C4×#217—21no—
33#5165C418yescomplemented
34Dic3×SD16—24no—
35C2×#821C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×#817C2211yescharacteristic
38C2×Dic3⋊C8C2211yescharacteristic
39C2×Dic3⋊C8C2211yescharacteristic
40C2×C8×Dic3C2211yescharacteristic
41C2×C8×Dic3C2211yescharacteristic
42#4977C2211yescharacteristic
43Dic3×C4⋊C4C2211yescharacteristic
44Dic3×C4⋊C4C2211yescharacteristic
45C2×#809C2211yescharacteristic
46C2×#807C2211yescharacteristic
47Dic3×C22⋊C4—21no—
48Dic3×C22⋊C4—21no—
49#4939C2211yescharacteristic
50C4×C4⋊Dic3C2211yescharacteristic
51C42×Dic3C2211yescharacteristic
52#4756—24no—
53#4670—21no—
54#4670—21no—
55#4666—21no—
56#4666—21no—
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59#4551C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63C2×#463—31no—
64C2×C4×SD16—31no—
65C2×C4×D8—31no—
66C4×#124—31no—
67C42×D4—31no—
68#1983—31no—
69#1949—31no—
70#1928—31no—
71#1926—31no—
72#1879—31no—
73#1877D311yescharacteristic, complemented
74#1804—31no—
75C4×C4⋊C8—31no—
76C4×#103—31no—
77C4×#102—31no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×Dic3—21no—
82C23×Dic3—21no—
83C22×D12C2311yescharacteristic
84C22×C4×D3—21no—
85C2×C3×SD16—22no—
86C2×C3×SD16—22no—
87C2×C3×SD16C2×C414yescomplemented
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×C4×D4—22no—
91C3×C4×D4—22no—
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C22⋊C4—21no—
95C2×C3×C42C2311yescharacteristic
96C2×#217—21no—
97C2×#217—21no—
98#947—22no—
99#947C2×C414yescomplemented
100Q8×Dic3—22no—
101Q8×Dic3—22no—
102D4×Dic3—22no—
103D4×Dic3—22no—
104D4×Dic3C2×C414yescomplemented
105D4×Dic3D414yes—
106C2×#213—22no—
107C2×#213—22no—
108C2×#213C2×C414yes—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×C4⋊Dic3—21no—
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4×Dic3—21no—
119C2×C4×Dic3—21no—
120C2×C4×Dic3—21no—
121C2×C4×Dic3—21no—
122C2×C4×Dic3—44no—
123C2×C4×Dic3D411yescharacteristic
124C2×C4×Dic3D411yescharacteristic
125C2×C4×Dic3D411yescharacteristic
126C2×C4×Dic3D411yescharacteristic
127C2×C4×Dic3C2311yescharacteristic
128C2×C4×Dic3C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131#893—22no—
132#893—22no—
133C3×#103—22no—
134C3×#102—22no—
135C3×#95—21no—
136C3×#95—21no—
137#835—22no—
138#835C2×C414yescomplemented
139#832—22no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145#821—22no—
146#821C2×C414yescomplemented
147#817—22no—
148Dic3⋊C8—22no—
149Dic3⋊C8C2×C414yescomplemented
150C8×Dic3—22no—
151C8×Dic3—22no—
152#809—22no—
153#807—22no—
154C22×SD16C2×D311yescharacteristic
155C22×D8—31no—
156C2×#124—31no—
157C2×C4×Q8—31no—
158C2×C4×D4—31no—
159C2×C4×D4—31no—
160C2×C4×D4—31no—
161C2×C4×D4C2×D311yescharacteristic
162C22×C42—61no—
163#463—38no—
164C4×SD16—64no—
165C4×D8—64no—
166C2×#107—31no—
167C2×#106—31no—
168C2×C4⋊C8—31no—
169C2×C4⋊C8—31no—
170C2×#103—31no—
171C2×#103—31no—
172C2×#103C2×D311yescharacteristic
173C2×#102—31no—
174C2×#102—31no—
175C2×#102—31no—
176C2×#102—31no—
177C2×#102C2×D311yescharacteristic
178C2×C4×C8—31no—
179C2×C4×C8—31no—
180#391C2×D311yescharacteristic
181#390—31no—
182#388—61no—
183#388—61no—
184#382—31no—
185C4×C4⋊C4—31no—
186C4×C4⋊C4—31no—
187C4×C4⋊C4—31no—
188C4×C22⋊C4—61no—
189C4×C22⋊C4—61no—
190C4×C22⋊C4—61no—
191C4×C22⋊C4—61no—
192C4×C22⋊C4—61no—
193C43—31no—
194#340—31no—
195#340—31no—
196#340—31no—
197#340C2×D311yescharacteristic
198#336—31no—
199#336C2×D311yescharacteristic
200C24×C3—21no—
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×Q8C22×C412yes—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4—21no—
211C2×C3×D4C22×C412yes—
212C2×C3×D4C2×D412yes—
213C2×C3×D4#4112yes—
214C22×C3×C4—24no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2411yescharacteristic
223C22×Dic3—21no—
224C22×Dic3—21no—
225C22×Dic3—24no—
226C22×Dic3—24no—
227C22×Dic3—21no—
228C22×Dic3—42no—
229C22×Dic3—42no—
230C22×Dic3—42no—
231C22×Dic3—42no—
232C22×Dic3C2×D411yescharacteristic
233C22×Dic3C2×D411yescharacteristic
234C22×Dic3C2×D411yescharacteristic
235C22×Dic3C2×D411yescharacteristic
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12C22×C412yes—
242C2×C4×D3—42no—
243C2×C4×D3—42no—
244C2×C4×D3—42no—
245C3×SD16—28no—
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#4112yes—
256C3×C22⋊C4—24no—
257C3×C42—21no—
258C3×C42—21no—
259#217—24no—
260#217—24no—
261#213—28no—
262(C2×D3)⋊C4—24no—
263(C2×D3)⋊C4—24no—
264(C2×D3)⋊C4—42no—
265(C2×D3)⋊C4—42no—
266(C2×D3)⋊C4—42no—
267C4⋊Dic3—21no—
268C4⋊Dic3—21no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—42no—
272C4⋊Dic3C22×C412yes—
273C4⋊Dic3C2×D412yes—
274C4×Dic3—22no—
275C4×Dic3—22no—
276C4×Dic3—22no—
277C4×Dic3—41no—
278C4×Dic3—42no—
279C4×Dic3—42no—
280C4×Dic3—42no—
281C4×Dic3—42no—
282C4×Dic3C22×C412yes—
283C4×Dic3C2×D412yes—
284C4×Dic3#4112yes—
285C4×Dic3#4112yes—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8C22×C412yes—
292C22×Q8C22×D311yescharacteristic
293C22×D4—31no—
294C22×D4C22×D311yescharacteristic
295C23×C4—21no—
296C23×C4—61no—
297C23×C4—61no—
298C23×C4—61no—
299C2×SD16—22no—
300C2×SD16—22no—
301C2×SD16C4×D314yescomplemented
302C2×D8—34no—
303C2×D8—62no—
304C2×D8—62no—
305C22×C8—31no—
306C22×C8—31no—
307C22×C8C22×D311yescharacteristic
308C22×C8C22×D311yescharacteristic
309#124—34no—
310#124—62no—
311C4×Q8—62no—
312C4×Q8—62no—
313C4×D4—22no—
314C4×D4—22no—
315C4×D4—34no—
316C4×D4—34no—
317C4×D4—62no—
318C4×D4—62no—
319C4×D4—62no—
320C4×D4—62no—
321C2×C4⋊C4—31no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—61no—
325C2×C4⋊C4C22×D311yescharacteristic
326C2×C4⋊C4C22×D311yescharacteristic
327C2×C22⋊C4—21no—
328C2×C22⋊C4—61no—
329C2×C22⋊C4—61no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C42—31no—
336C2×C42—31no—
337C2×C42—31no—
338C2×C42—31no—
339C2×C42—31no—
340C2×C42—31no—
341C2×C42—61no—
342C2×C42—61no—
343C2×C42—61no—
344C2×C42—61no—
345C2×C42—124no—
346C2×C42C22×D311yescharacteristic
347#107—62no—
348#106—62no—
349C4⋊C8—34no—
350C4⋊C8—62no—
351#103—22no—
352#103—34no—
353#103—62no—
354#102—22no—
355#102—34no—
356#102—62no—
357#102—62no—
358#102—62no—
359C4×C8—62no—
360C4×C8—62no—
361#95—21no—
362#95—21no—
363#95—61no—
364#95—61no—
365#95—61no—
366#95—61no—
367#95—61no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—41no—
372C23×C3—41no—
373C23×C3—41no—
374C23×C3—41no—
375C23×C3C22×D411yescharacteristic
376C22×D3—22no—
377C22×D3—41no—
378C22×D3—41no—
379C22×D3—41no—
380C22×D3—41no—
381C22×D3—41no—
382C22×D3—41no—
383C3×Q8—22no—
384C3×Q8—22no—
385C3×Q8—41no—
386C3×Q8—41no—
387C3×D4—22no—
388C3×D4—22no—
389C3×D4—22no—
390C3×D4C4×D414yes—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—22no—
394C2×C3×C4—21no—
395C2×C3×C4—22no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—48no—
399C2×C3×C4—41no—
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#13512yes—
407C2×C3×C4C23×C411yescharacteristic
408C2×C3×C4C22×D411yescharacteristic
409C2×C3×C4C2×#4111yescharacteristic
410C2×C3×C4C2×#4111yescharacteristic
411C2×C3×C4C2×#4111yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—21no—
418C2×Dic3—21no—
419C2×Dic3—22no—
420C2×Dic3—22no—
421C2×Dic3—48no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—48no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3C4×D412yes—
431C2×Dic3C4×D412yes—
432C2×Dic3#12112yes—
433C2×Dic3#12112yes—
434C2×Dic3#13512yes—
435C2×Dic3AGL(1,ℤ/8)12yes—
436D12—22no—
437D12—22no—
438D12—41no—
439D12—41no—
440C4×D3—84no—
441C3×C8—22no—
442C3×C8—41no—
443C3⋊C8—22no—
444C3⋊C8—41no—
445C24—21no—
446C24—61no—
447C2×Q8—21no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8C2×C4×D312yes—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—32no—
457C2×D4—61no—
458C2×D4—61no—
459C2×D4—61no—
460C2×D4—61no—
461C2×D4—61no—
462C2×D4C2×C4×D312yes—
463C2×D4D3×D412yes—
464C2×D4#23712yes—
465C22×C4—24no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—31no—
470C22×C4—31no—
471C22×C4—31no—
472C22×C4—31no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—64no—
476C22×C4—64no—
477C22×C4—61no—
478C22×C4—61no—
479C22×C4—61no—
480C22×C4—122no—
481C22×C4—122no—
482C22×C4—122no—
483C22×C4—122no—
484C22×C4—122no—
485C22×C4—122no—
486C22×C4—122no—
487C22×C4D3×D411yescharacteristic
488C22×C4D3×D411yescharacteristic
489C22×C4C23×D311yescharacteristic
490SD16—28no—
491D8—68no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—32no—
498C2×C8—61no—
499C2×C8—61no—
500C2×C8—61no—
501C2×C8—61no—
502C2×C8—61no—
503C2×C8C2×C4×D312yes—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—32no—
508C4⋊C4—32no—
509C4⋊C4—61no—
510C4⋊C4—61no—
511C4⋊C4—61no—
512C4⋊C4—61no—
513C4⋊C4—122no—
514C4⋊C4#23712yes—
515C22⋊C4—24no—
516C22⋊C4—64no—
517C22⋊C4—64no—
518C22⋊C4—64no—
519C22⋊C4—64no—
520C22⋊C4—122no—
521C22⋊C4—122no—
522C22⋊C4—122no—
523C42—21no—
524C42—21no—
525C42—32no—
526C42—32no—
527C42—32no—
528C42—32no—
529C42—62no—
530C42—62no—
531C42—62no—
532C42—121no—
533C42—122no—
534C42—122no—
535C42—122no—
536C42—122no—
537C22×C3—24no—
538C22×C3—42no—
539C22×C3—42no—
540C22×C3—42no—
541C22×C3—42no—
542C22×C3—42no—
543C22×C3—42no—
544C22×C3C2×C4×D411yescharacteristic
545C22×C3C2×#12111yescharacteristic
546C22×C3#52511yescharacteristic
547C22×C3C2×#13511yescharacteristic
548C22×C3C2×#13511yescharacteristic
549C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
550C22×C3#57511yescharacteristic
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—42no—
554C2×D3—81no—
555C2×D3—81no—
556C2×D3—81no—
557C2×D3—81no—
558C3×C4—22no—
559C3×C4—41no—
560C3×C4—42no—
561C3×C4—42no—
562C3×C4—81no—
563C3×C4C2×C4×D411yescharacteristic
564C3×C4C4×#4111yescharacteristic
565C3×C4#52911yescharacteristic
566C3×C4#53211yescharacteristic
567Dic3—22no—
568Dic3—22no—
569Dic3—22no—
570Dic3—42no—
571Dic3—42no—
572Dic3—81no—
573Dic3#46314yescomplemented
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—62no—
582C23—121no—
583C23—121no—
584C23—121no—
585C23—121no—
586C23—121no—
587C23—121no—
588C23C2×D3×D411yescharacteristic
589Q8—22no—
590Q8—22no—
591Q8—41no—
592Q8—41no—
593D4—22no—
594D4—22no—
595D4—22no—
596D4—62no—
597D4—62no—
598D4—121no—
599D4—121no—
600D4#67⋊C414yes—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—32no—
609C2×C4—32no—
610C2×C4—32no—
611C2×C4—32no—
612C2×C4—32no—
613C2×C4—32no—
614C2×C4—48no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—61no—
623C2×C4—61no—
624C2×C4—61no—
625C2×C4—61no—
626C2×C4—61no—
627C2×C4—61no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4—128no—
631C2×C4—128no—
632C2×C4—121no—
633C2×C4—121no—
634C2×C4—121no—
635C2×C4—121no—
636C2×C4—121no—
637C2×C4—121no—
638C2×C4—121no—
639C2×C4—244no—
640C2×C4#91612yes—
641C2×C4C22×C4×D311yescharacteristic
642C2×C4C2×D3×D411yescharacteristic
643C2×C4C2×#23711yescharacteristic
644C2×C4C2×#23711yescharacteristic
645C2×C4D3×#4111yescharacteristic
646C2×C4D3×#4111yescharacteristic
647C8—22no—
648C8—41no—
649C8—62no—
650C8—121no—
651C2×C3—44no—
652C2×C3C4×#12111yescharacteristic
653C2×C3C4×#13511yescharacteristic
654C2×C3C4×AGL(1,ℤ/8)11yescharacteristic
655C2×C3C2×#46311yescharacteristic
656C2×C3#303511yescharacteristic
657C2×C3#310211yescharacteristic
658C2×C3#310511yescharacteristic
659D3—82no—
660C22—24no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—122no—
668C22—122no—
669C22—122no—
670C22—241no—
671C22—241no—
672C22—241no—
673C22—241no—
674C22C4×D3×D411yescharacteristic
675C22#558611yescharacteristic
676C22D3×#12111yescharacteristic
677C22C2×#91611yescharacteristic
678C22D3×#13511yescharacteristic
679C22D3×AGL(1,ℤ/8)11yescharacteristic
680C22#577711yescharacteristic
681C4—22no—
682C4—34no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—62no—
687C4—62no—
688C4—62no—
689C4—81no—
690C4—122no—
691C4—122no—
692C4—241no—
693C4C2×#67⋊C411yescharacteristic
694C4C4×#23711yescharacteristic
695C4#559611yescharacteristic
696C4#564911yescharacteristic
697C3C4×#46311yescharacteristic, complemented, Sylow
698C2—44no—
699C2—242no—
700C2#7466011yescharacteristic
701C2C4×#91611yescharacteristic
702C2#7977311yescharacteristic
703C2#8013311yescharacteristic
704C2#8021211yescharacteristic
705C2#8042711yescharacteristic
706C2D3×#46311yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1877C2
socleC23×C3C22×D4
prime radicalC22×#213C22
cosocleC22×C3×C4C24
hypercenter#1877D3
hypocenterC3C4×#463
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
2. C2×Dic3×SD16C2semidirect
3. C4×D4×Dic3C2semidirect
5. #76480C2semidirect
6. C3×#1877C2semidirect
8. #70230C2semidirect
9. Dic3×#103C2semidirect
10. #70154C2semidirect
11. #69667C2semidirect
12. #68797C2semidirect
13. #68780C2semidirect
14. #68626C2semidirect
15. #68602C2semidirect
33. #5165C4semidirect
73. #1877D3semidirect
87. C2×C3×SD16C2×C4semidirect
99. #947C2×C4semidirect
104. D4×Dic3C2×C4semidirect
138. #835C2×C4semidirect
146. #821C2×C4semidirect
149. Dic3⋊C8C2×C4semidirect
301. C2×SD16C4×D3semidirect
573. Dic3#463semidirect
697. C3C4×#463semidirect

Maximal subgroups

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

subgroupindex
C2×#51652
C2×Dic3×SD162
C4×D4×Dic32
C2×#47562
#764802
C3×#18772
#716132
#702302
Dic3×#1032
#701542
#696672
#687972
#687802
#686262
#686022
C4×#4633