Finite Group Databasebeta

← #10801673

Subgroups — #10801673

Order 768.

1138 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
1C22×C8×Dic3C211yesmaximal, characteristic, complemented
2Dic3×#121C211yesmaximal, characteristic
3C2×#5041C211yesmaximal, characteristic
4C2×#4758C211yesmaximal, characteristic, complemented
5#73866C211yesmaximal, characteristic, complemented
6C3×#1893C211yesmaximal, characteristic
7#71972C211yesmaximal, characteristic, complemented
8#70189C211yesmaximal, characteristic, complemented
9#70186C211yesmaximal, characteristic, complemented
10Dic3×#102C211yesmaximal, characteristic, complemented
11#69511C211yesmaximal, characteristic, complemented
12#68858C211yesmaximal, characteristic, complemented
13#68851C211yesmaximal, characteristic, complemented
14#68784C211yesmaximal, characteristic, complemented
15#68781C211yesmaximal, characteristic, complemented
16C4×#465—31nomaximal, Sylow
17C23×C3×C8C2211yescharacteristic
18C2×C3×#121C2211yescharacteristic
19C2×D4×Dic3—21no—
20C2×D4×Dic3C2211yescharacteristic
21C22×#214C2211yescharacteristic
22C2×#924C2211yescharacteristic
23C22×C4×Dic3C2211yescharacteristic
24C23×C3⋊C8C2211yescharacteristic
25C2×#887C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C3×#380C2211yescharacteristic
29#5221C2211yescharacteristic
30#5220—21no—
31C2×#832C2211yescharacteristic
32#5212C2211yescharacteristic
33C2×#816C2211yescharacteristic
34C2×#816C2211yescharacteristic
35C2×C8×Dic3—24no—
36C2×C8×Dic3C2211yescharacteristic
37C2×C8×Dic3C2211yescharacteristic
38C2×C8×Dic3C2211yescharacteristic
39C2×C8×Dic3C2211yescharacteristic
40#5041C418yescomplemented
41#4984C2211yescharacteristic
42Dic3×C4⋊C4C2211yescharacteristic
43Dic3×C4⋊C4C2211yescharacteristic
44#4973C2211yescharacteristic
45#4972C2211yescharacteristic
46C2×#810C2211yescharacteristic
47C2×#808C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C2×#808C2211yescharacteristic
50#4951—21no—
51#4946—21no—
52Dic3×C22⋊C4—21no—
53Dic3×C22⋊C4—21no—
54#4758—24no—
55#4652—21no—
56#4649—21no—
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59#4551C2211yescharacteristic
60#4551C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#465—31no—
64C2×C4×SD16—31no—
65C22×C4×C8—31no—
66C4×C22⋊Q8—31no—
67C4×#121—31no—
68#1968—31no—
69#1941—31no—
70#1934—31no—
71#1933—31no—
72#1893D311yescharacteristic
73#1892—31no—
74#1807—31no—
75C4×#106—31no—
76C4×#103—31no—
77C4×#102—31no—
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C23×Dic3—21no—
82C23×Dic3D411yescharacteristic
83C23×Dic3D411yescharacteristic
84C22×Dic6C2311yescharacteristic
85C22×C3×C8—22no—
86C22×C3×C8—22no—
87C22×C3×C8—22no—
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×#121—22no—
91C3×#121C2×C414yes—
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C22⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×#217—21no—
98C2×#217—21no—
99C2×#217—21no—
100C2×#217—21no—
101C2×#217—21no—
102D4×Dic3—22no—
103D4×Dic3—22no—
104D4×Dic3—44no—
105C2×#214—22no—
106C2×#214—22no—
107C2×#214C2×C414yescomplemented
108C2×C4⋊Dic3—21no—
109C2×C4⋊Dic3C2311yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4⋊Dic3C2311yescharacteristic
112#924—22no—
113#924C2×C414yescomplemented
114C2×Dic3⋊C4—21no—
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4—21no—
117C2×C4×Dic3—22no—
118C2×C4×Dic3—22no—
119C2×C4×Dic3—21no—
120C2×C4×Dic3—21no—
121C2×C4×Dic3—21no—
122C2×C4×Dic3D411yescharacteristic
123C2×C4×Dic3D411yescharacteristic
124C2×C4×Dic3C2311yescharacteristic
125C2×C4×Dic3C2311yescharacteristic
126C22×C3⋊C8—22no—
127C22×C3⋊C8—22no—
128C22×C3⋊C8C2×C414yescomplemented
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131#887—22no—
132#887—22no—
133C3×#102—22no—
134C3×#102—22no—
135C3×#95—21no—
136#832C2×C414yescomplemented
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#816—22no—
145#816—22no—
146C8×Dic3—22no—
147C8×Dic3—22no—
148C8×Dic3—22no—
149C8×Dic3D414yescomplemented
150#810C2×C414yescomplemented
151#808—22no—
152#808—22no—
153#808C2×C414yescomplemented
154C22×SD16—31no—
155C23×C8—31no—
156C23×C8C2×D311yescharacteristic
157C2×C22⋊Q8—31no—
158C2×#121C2×D311yescharacteristic
159C2×C4×Q8—31no—
160C2×C4×D4—31no—
161C2×C4×D4—61no—
162C22×C42—31no—
163#465—38no—
164C4×SD16—64no—
165C2×#106—31no—
166C2×#106—31no—
167C2×#106—31no—
168C2×#103—31no—
169C2×#103—31no—
170C2×#103—31no—
171C2×#102—31no—
172C2×#102C2×D311yescharacteristic
173C2×#102C2×D311yescharacteristic
174C2×C4×C8—31no—
175C2×C4×C8—31no—
176C2×C4×C8—31no—
177C2×C4×C8—31no—
178C2×C4×C8—64no—
179#391—31no—
180#390—31no—
181#389—31no—
182#389—31no—
183#388—61no—
184#387—61no—
185#386—61no—
186#385—61no—
187#380—31no—
188#380C2×D311yescharacteristic
189C4×C4⋊C4—31no—
190C4×C4⋊C4—31no—
191C4×C4⋊C4—61no—
192C4×C22⋊C4—61no—
193C4×C22⋊C4—61no—
194#340—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340C2×D311yescharacteristic
199#340C2×D311yescharacteristic
200C24×C3—21no—
201C24×C3C2×D411yescharacteristic
202C2×C3×D4—24no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—42no—
209C2×C3×D4—42no—
210C2×C3×D4C22×C412yes—
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×C4C22×C412yes—
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4#4112yes—
221C22×C3×C4C2411yescharacteristic
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—22no—
225C22×Dic3—22no—
226C22×Dic3—22no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—42no—
232C22×Dic3—42no—
233C22×Dic3—42no—
234C22×Dic3SD1614yescomplemented
235C22×Dic3C2×D411yescharacteristic
236C22×Dic3C2×D411yescharacteristic
237C22×Dic3C2×D411yescharacteristic
238C22×Dic3C2×D411yescharacteristic
239C2×Dic6—21no—
240C2×Dic6—21no—
241C2×Dic6—21no—
242C2×Dic6—21no—
243C2×Dic6—21no—
244C2×Dic6C22×C412yes—
245C2×C3×C8—28no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8C2×D412yes—
251C2×C3×C8#4112yes—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4C22×C412yes—
258C3×C22⋊C4—24no—
259C3×C22⋊C4—42no—
260#217—24no—
261#217—42no—
262#217—42no—
263#217—42no—
264#217—42no—
265#214—28no—
266C4⋊Dic3—21no—
267C4⋊Dic3—21no—
268C4⋊Dic3—21no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—42no—
272C4⋊Dic3C22×C412yes—
273Dic3⋊C4—24no—
274Dic3⋊C4—42no—
275Dic3⋊C4—42no—
276C4×Dic3—21no—
277C4×Dic3—21no—
278C4×Dic3—22no—
279C4×Dic3—22no—
280C4×Dic3—42no—
281C4×Dic3—42no—
282C4×Dic3—42no—
283C4×Dic3C2×D412yes—
284C4×Dic3#4112yes—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—28no—
288C2×C3⋊C8C22×C412yes—
289C2×C3⋊C8C22×C412yes—
290C2×C3⋊C8C2×D412yes—
291C2×C3⋊C8#4112yes—
292C22×Q8—31no—
293C22×D4—21no—
294C22×D4C22×D311yescharacteristic
295C23×C4—31no—
296C23×C4—31no—
297C23×C4—61no—
298C23×C4C22×D311yescharacteristic
299C2×SD16—34no—
300C2×SD16—62no—
301C2×SD16—62no—
302C22×C8—22no—
303C22×C8—22no—
304C22×C8—22no—
305C22×C8—31no—
306C22×C8—34no—
307C22×C8—31no—
308C22×C8—62no—
309C22×C8—62no—
310C22×C8C22×D311yescharacteristic
311C22×C8C22×D311yescharacteristic
312C22⋊Q8—34no—
313C22⋊Q8—62no—
314#121—22no—
315#121C4×D314yes—
316C4×Q8—62no—
317C4×Q8—62no—
318C4×D4—62no—
319C4×D4—62no—
320C4×D4—124no—
321C2×C4⋊C4—31no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—61no—
325C2×C4⋊C4—61no—
326C2×C4⋊C4—61no—
327C2×C4⋊C4—61no—
328C2×C4⋊C4C22×D311yescharacteristic
329C2×C4⋊C4C22×D311yescharacteristic
330C2×C4⋊C4C22×D311yescharacteristic
331C2×C22⋊C4—21no—
332C2×C22⋊C4—21no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C22⋊C4—61no—
336C2×C22⋊C4—61no—
337C2×C22⋊C4—61no—
338C2×C42—31no—
339C2×C42—31no—
340C2×C42—31no—
341C2×C42—31no—
342C2×C42—62no—
343C2×C42—62no—
344C2×C42—61no—
345C2×C42—61no—
346C2×C42—61no—
347#106—34no—
348#106—62no—
349#106—62no—
350#103—34no—
351#103—62no—
352#103—62no—
353#102—22no—
354#102—22no—
355#102—34no—
356C4×C8—34no—
357C4×C8—62no—
358C4×C8—62no—
359C4×C8—62no—
360#95—21no—
361#95—61no—
362#95—61no—
363#95—61no—
364#95—61no—
365#95—61no—
366#95—61no—
367#95—61no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3—21no—
371C23×C3—21no—
372C23×C3—22no—
373C23×C3—41no—
374C23×C3—41no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3C4×D412yes—
380C23×C3C2×SD1612yes—
381C23×C3#13512yes—
382C23×C3C22×D411yescharacteristic
383C3×D4—22no—
384C3×D4—22no—
385C3×D4—48no—
386C3×D4—41no—
387C3×D4—41no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4C4×D412yes—
404C2×C3×C4C23×C411yescharacteristic
405C2×C3×C4C22×D411yescharacteristic
406C2×C3×C4C2×#4111yescharacteristic
407C2×C3×C4C2×#4111yescharacteristic
408C2×C3×C4C2×#4111yescharacteristic
409C2×C3×C4C2×#4111yescharacteristic
410C2×Dic3—28no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—28no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—41no—
421C2×Dic3—41no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—41no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—84no—
431C2×Dic3#12112yes—
432C2×Dic3#12112yes—
433C2×Dic3C2×SD1612yes—
434C2×Dic3C2×SD1612yes—
435C2×Dic3#13512yes—
436C2×Dic3#13512yes—
437Dic6—22no—
438Dic6—22no—
439Dic6—41no—
440Dic6—41no—
441C3×C8—22no—
442C3×C8—22no—
443C3⋊C8—22no—
444C3⋊C8C4×D414yescomplemented
445C24—21no—
446C24D3×D411yescharacteristic
447C2×Q8—32no—
448C2×Q8—61no—
449C2×Q8—61no—
450C2×Q8—61no—
451C2×Q8—61no—
452C2×Q8—61no—
453C2×D4—24no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4C2×C4×D312yes—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—31no—
470C22×C4—34no—
471C22×C4—31no—
472C22×C4—31no—
473C22×C4—31no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—61no—
480C22×C4—61no—
481C22×C4—61no—
482C22×C4—61no—
483C22×C4—122no—
484C22×C4—122no—
485C22×C4—122no—
486C22×C4C2×C4×D312yes—
487C22×C4D3×D411yescharacteristic
488C22×C4#23712yes—
489C22×C4C23×D311yescharacteristic
490SD16—68no—
491C2×C8—28no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—32no—
497C2×C8—32no—
498C2×C8—32no—
499C2×C8—32no—
500C2×C8—68no—
501C2×C8—61no—
502C2×C8—61no—
503C2×C8D3×D412yes—
504C2×C8#23712yes—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—32no—
511C4⋊C4—64no—
512C4⋊C4—61no—
513C4⋊C4—61no—
514C4⋊C4—61no—
515C4⋊C4—61no—
516C4⋊C4—61no—
517C4⋊C4—122no—
518C4⋊C4—122no—
519C4⋊C4—122no—
520C4⋊C4C2×C4×D312yes—
521C22⋊C4—24no—
522C22⋊C4—42no—
523C22⋊C4—64no—
524C22⋊C4—122no—
525C22⋊C4—122no—
526C22⋊C4—122no—
527C22⋊C4—122no—
528C42—32no—
529C42—32no—
530C42—62no—
531C42—62no—
532C42—61no—
533C42—61no—
534C42—122no—
535C42—122no—
536C42—122no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3—42no—
544C22×C3—42no—
545C22×C3—42no—
546C22×C3—81no—
547C22×C3—81no—
548C22×C3—81no—
549C22×C3—81no—
550C22×C3C4×SD1614yescomplemented
551C22×C3C2×C4×D411yescharacteristic
552C22×C3C2×#12111yescharacteristic
553C22×C3#53211yescharacteristic
554C22×C3C22×SD1611yescharacteristic
555C22×C3C2×#13511yescharacteristic
556C22×C3C2×#13511yescharacteristic
557C22×C3C2×#13511yescharacteristic
558C3×C4—22no—
559C3×C4—42no—
560C3×C4—81no—
561C3×C4—81no—
562C3×C4C2×C4×D411yescharacteristic
563C3×C4C4×#4111yescharacteristic
564C3×C4#52511yescharacteristic
565C3×C4#52911yescharacteristic
566Dic3—22no—
567Dic3—22no—
568Dic3—22no—
569Dic3—42no—
570Dic3—42no—
571Dic3—81no—
572Dic3—81no—
573Dic3#46514yescomplemented
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23#67⋊C412yes—
586C23#91212yes—
587C23D3×SD1612yes—
588C23C2×D3×D411yescharacteristic
589Q8—62no—
590Q8—62no—
591Q8—121no—
592Q8—121no—
593D4—22no—
594D4—22no—
595D4—48no—
596D4—41no—
597D4—41no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—32no—
606C2×C4—32no—
607C2×C4—32no—
608C2×C4—32no—
609C2×C4—32no—
610C2×C4—32no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—68no—
620C2×C4—68no—
621C2×C4—61no—
622C2×C4—61no—
623C2×C4—61no—
624C2×C4—61no—
625C2×C4—61no—
626C2×C4—61no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—121no—
630C2×C4—121no—
631C2×C4—121no—
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#67⋊C412yes—
641C2×C4C22×C4×D311yescharacteristic
642C2×C4C2×D3×D411yescharacteristic
643C2×C4C2×#23711yescharacteristic
644C2×C4C2×#23711yescharacteristic
645C2×C4D3×#4111yescharacteristic
646C2×C4D3×#4111yescharacteristic
647C8—22no—
648C8—22no—
649C8—34no—
650C8—62no—
651C2×C3—24no—
652C2×C3—82no—
653C2×C3C4×#12111yescharacteristic
654C2×C3C2×C4×SD1611yescharacteristic
655C2×C3C4×#13511yescharacteristic
656C2×C3C2×#46511yescharacteristic
657C2×C3#305011yescharacteristic
658C2×C3#316711yescharacteristic
659C2×C3#316811yescharacteristic
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22#475814yescomplemented
674C22C2×#67⋊C411yescharacteristic
675C22#559611yescharacteristic
676C22D3×#12111yescharacteristic
677C22C2×#91211yescharacteristic
678C22C2×D3×SD1611yescharacteristic
679C22D3×#13511yescharacteristic
680C22D3×#13511yescharacteristic
681C4—22no—
682C4—34no—
683C4—42no—
684C4—62no—
685C4—62no—
686C4—62no—
687C4—81no—
688C4—81no—
689C4—122no—
690C4—122no—
691C4—241no—
692C4—241no—
693C4C4×#23711yescharacteristic
694C4C4×D3×D411yescharacteristic
695C4#558611yescharacteristic
696C4#564911yescharacteristic
697C3C4×#46511yescharacteristic, complemented, Sylow
698C2—24no—
699C2—82no—
700C2#7466011yescharacteristic
701C2C2×#475811yescharacteristic
702C2#7881811yescharacteristic
703C2#8063211yescharacteristic
704C2D3×#46511yescharacteristic
705C2#8069611yescharacteristic
706C2#8071411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1893C2
socleC23×C3C22×D4
prime radicalC2×C3×#121C22
cosocleC22×C3×C4C24
hypercenter#1893D3
hypocenterC3C4×#465
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1893

Complements

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

NH ≅ G/Ntype
1. C22×C8×Dic3C2semidirect
4. C2×#4758C2semidirect
5. #73866C2semidirect
7. #71972C2semidirect
8. #70189C2semidirect
9. #70186C2semidirect
10. Dic3×#102C2semidirect
11. #69511C2semidirect
12. #68858C2semidirect
13. #68851C2semidirect
14. #68784C2semidirect
15. #68781C2semidirect
40. #5041C4semidirect
107. C2×#214C2×C4semidirect
113. #924C2×C4semidirect
128. C22×C3⋊C8C2×C4semidirect
136. #832C2×C4semidirect
149. C8×Dic3D4semidirect
150. #810C2×C4semidirect
153. #808C2×C4semidirect
234. C22×Dic3SD16semidirect
444. C3⋊C8C4×D4semidirect
550. C22×C3C4×SD16semidirect
573. Dic3#465semidirect
673. C22#4758semidirect
697. C3C4×#465semidirect

Maximal subgroups

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

subgroupindex
C22×C8×Dic32
Dic3×#1212
C2×#50412
C2×#47582
#738662
C3×#18932
#719722
#701892
#701862
Dic3×#1022
#695112
#688582
#688512
#687842
#687812
C4×#4653