Finite Group Databasebeta

← #10956148

Subgroups — #10956148

Order 768.

2834 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#518C211yesmaximal, characteristic
2#84043C211yesmaximal, characteristic
3C2×#5220C211yesmaximal, characteristic
4#82336C214yesmaximal, complemented
5#82335C214yesmaximal, complemented
6#82324C214yesmaximal, complemented
7#82318C214yesmaximal, complemented
8#82237C214yesmaximal, complemented
9#82097C214yesmaximal, complemented
10#82094C211yesmaximal, characteristic, complemented
11C2×#4950C211yesmaximal, characteristic, complemented
12#82083C211yesmaximal, characteristic, complemented
13C2×Dic3×C22⋊C4C211yesmaximal, characteristic, complemented
14#34251—31nomaximal, Sylow
15C23×C3×D4C2211yescharacteristic
16C24×Dic3C2211yescharacteristic
17C3×#518C4116yescomplemented
18C2×C3×C4×D4C2214yes—
19C2×C3×C4×D4C2214yes—
20C2×C3×#117C2212yes—
21C22×C3×C22⋊C4C2211yescharacteristic
22C22×C3×C22⋊C4C2211yescharacteristic
23C22×C3×C22⋊C4C2212yes—
24C22×#217C2211yescharacteristic
25C22×#217C2211yescharacteristic
26C22×#217C2211yescharacteristic
27C22×#217C2212yes—
28C2×#926C2214yescomplemented
29C22×C4⋊Dic3C2212yescomplemented
30C22×C4×Dic3C2212yescomplemented
31#5247C2212yes—
32#5220C2212yes—
33#5220C2212yes—
34#5220C2214yes—
35#5220C2214yes—
36#5220C2212yes—
37#5220C2212yes—
38#5212C2214yescomplemented
39#5212C2214yescomplemented
40#5211C2212yes—
41#5211C2214yescomplemented
42C4×#217C2214yescomplemented
43C4×#217C2214yescomplemented
44C2×C3⋊#95C2212yes—
45C2×C3⋊#95C2212yescomplemented
46C2×C3⋊#95C2212yescomplemented
47#4980C2214yescomplemented
48#4980C2214yescomplemented
49#4980C2214yescomplemented
50#4980C2214yescomplemented
51#4951C2214yescomplemented
52#4951C2214yescomplemented
53#4951C2214yescomplemented
54#4951C2214yescomplemented
55#4950C2214yes—
56#4950C2214yes—
57#4950C2212yescomplemented
58#4950C2214yescomplemented
59#4950C2212yescomplemented
60Dic3×C22⋊C4C2214yes—
61Dic3×C22⋊C4C2214yes—
62Dic3×C22⋊C4C2212yescomplemented
63Dic3×C22⋊C4C2214yescomplemented
64Dic3×C22⋊C4C2212yescomplemented
65#4937C2214yescomplemented
66#4936C2214yescomplemented
67C4×C4⋊Dic3C2214yescomplemented
68#4932C2214yescomplemented
69C2×#518D311yescharacteristic
70#2353—34no—
71#2352—34no—
72#2343—34no—
73#2342—34no—
74#2318—34no—
75#2315—31no—
76#2308—31no—
77#2290—34no—
78C2×#386—31no—
79C2×#385—31no—
80#2273—31no—
81C2×C4×C22⋊C4—31no—
82C25×C3C2311yescharacteristic
83C25×C3C2311yescharacteristic
84C22×C3×D4—24no—
85C22×C3×D4—24no—
86C22×C3×D4C2×C418yes—
87C22×C3×D4C2312yes—
88C22×C3×D4C2312yes—
89C23×C3×C4C2311yescharacteristic
90C23×C3×C4C2312yes—
91C23×C3×C4C2312yes—
92C23×C3×C4C2314yes—
93C23×Dic3—24no—
94C23×Dic3—44no—
95C23×Dic3C2311yescharacteristic
96C23×Dic3C2312yes—
97C23×Dic3C2312yes—
98C23×Dic3C2312yes—
99C23×Dic3C2311yescharacteristic
100C23×Dic3C2311yescharacteristic
101C23×Dic3C2311yescharacteristic
102C23×Dic3C2312yes—
103C3×C4×D4C2×C4132yescomplemented
104C3×C4×D4C2×C4132yescomplemented
105C3×#117C2×C4116yescomplemented
106C2×C3×C4⋊C4C2314yes—
107C2×C3×C22⋊C4C2×C418yes—
108C2×C3×C22⋊C4C2×C418yes—
109C2×C3×C22⋊C4C2×C4116yescomplemented
110C2×C3×C22⋊C4C2312yes—
111C2×C3×C22⋊C4C2312yes—
112C2×C3×C22⋊C4C2312yes—
113C2×C3×C22⋊C4C2312yes—
114C2×C3×C22⋊C4C2314yes—
115C2×C3×C42C2314yes—
116C2×#217—24no—
117C2×#217—24no—
118C2×#217—24no—
119C2×#217—44no—
120C2×#217C2312yes—
121C2×#217C2312yes—
122C2×#217C2312yes—
123C2×#217C2312yes—
124C2×#217C2312yes—
125C2×#217C2312yes—
126C2×#217C2314yes—
127C2×#217C2314yes—
128C2×#217C2314yes—
129C2×#217C2314yes—
130#926—48no—
131C2×C4⋊Dic3—44no—
132C2×C4⋊Dic3C2314yes—
133C2×C4⋊Dic3C2314yes—
134C2×C4⋊Dic3C2314yes—
135C2×C4⋊Dic3C2314yes—
136C2×C4×Dic3—44no—
137C2×C4×Dic3C2314yes—
138C2×C4×Dic3C2314yes—
139C2×C4×Dic3C2314yes—
140C2×C4×Dic3C2314yes—
141C3⋊#95C2314yes—
142C3⋊#95C2314yes—
143C3⋊#95C2314yes—
144C3⋊#95C2314yes—
145C3⋊#95C2314yes—
146C3⋊#95C2314yes—
147C3⋊#95C2314yes—
148C3⋊#95C2314yes—
149C3⋊#95C2314yes—
150C3⋊#95C2314yes—
151C3⋊#95C2314yes—
152C3⋊#95C2314yes—
153C23×D4C2×D311yescharacteristic
154C24×C4—31no—
155#518Dic3116yescomplemented
156C2×C4×D4C2×D314yes—
157C2×C4×D4C2×D314yes—
158C2×#117—34no—
159C2×#117C2×D312yes—
160C22×C4⋊C4—32no—
161C22×C22⋊C4—31no—
162C22×C22⋊C4—31no—
163C22×C22⋊C4—31no—
164C22×C22⋊C4—32no—
165C22×C22⋊C4C2×D311yescharacteristic
166C22×C22⋊C4C2×D311yescharacteristic
167C22×C22⋊C4C2×D312yes—
168C22×C42—32no—
169#388—34no—
170#388—34no—
171#388—34no—
172#388—34no—
173#387—34no—
174#387—34no—
175#387—34no—
176#387—34no—
177#386—34no—
178#386—32no—
179#386—32no—
180#386—32no—
181#386—34no—
182#386—32no—
183#385—34no—
184#385—34no—
185#385—32no—
186#385—34no—
187#385—32no—
188#383—34no—
189#382—34no—
190#381—32no—
191#381—34no—
192#380—34no—
193#380—34no—
194#379—32no—
195C4×C4⋊C4—34no—
196C4×C22⋊C4—34no—
197C4×C22⋊C4—34no—
198C4×C22⋊C4—34no—
199C4×C22⋊C4—34no—
200C4×C22⋊C4—32no—
201C4×C22⋊C4—34no—
202C4×C22⋊C4—32no—
203#376—34no—
204C2×#95—32no—
205C2×#95—32no—
206C2×#95—32no—
207C24×C3—22no—
208C24×C3—22no—
209C24×C3—42no—
210C24×C3—42no—
211C24×C3—42no—
212C24×C3—42no—
213C24×C3C22×C414yes—
214C24×C3C22×C414yes—
215C24×C3#4114yes—
216C24×C3#4114yes—
217C24×C3C2412yes—
218C24×C3C2411yescharacteristic
219C24×C3C2411yescharacteristic
220C24×C3C2411yescharacteristic
221C2×C3×D4—232no—
222C2×C3×D4—24no—
223C2×C3×D4—24no—
224C2×C3×D4—24no—
225C2×C3×D4—24no—
226C2×C3×D4C22×C418yes—
227C2×C3×D4C22×C418yes—
228C22×C3×C4—22no—
229C22×C3×C4—22no—
230C22×C3×C4—42no—
231C22×C3×C4—42no—
232C22×C3×C4—44no—
233C22×C3×C4—42no—
234C22×C3×C4—44no—
235C22×C3×C4—42no—
236C22×C3×C4C22×C414yes—
237C22×C3×C4C22×C418yes—
238C22×C3×C4C22×C418yes—
239C22×C3×C4C22×C4116yescomplemented
240C22×C3×C4C2412yes—
241C22×C3×C4C2414yes—
242C22×C3×C4C2414yes—
243C22×Dic3—22no—
244C22×Dic3—24no—
245C22×Dic3—24no—
246C22×Dic3—24no—
247C22×Dic3—24no—
248C22×Dic3—22no—
249C22×Dic3—24no—
250C22×Dic3—22no—
251C22×Dic3—22no—
252C22×Dic3—24no—
253C22×Dic3—24no—
254C22×Dic3—42no—
255C22×Dic3—42no—
256C22×Dic3—42no—
257C22×Dic3—42no—
258C22×Dic3—42no—
259C22×Dic3—42no—
260C22×Dic3—42no—
261C22×Dic3—42no—
262C22×Dic3—42no—
263C22×Dic3—416no—
264C22×Dic3C2412yes—
265C22×Dic3C2412yes—
266C22×Dic3C2414yes—
267C22×Dic3C2414yes—
268C22×Dic3C2412yes—
269C22×Dic3C2412yes—
270C3×C4⋊C4C22×C4116yescomplemented
271C3×C22⋊C4C22×C418yes—
272C3×C22⋊C4C22×C418yes—
273C3×C22⋊C4C22×C418yes—
274C3×C22⋊C4C22×C418yes—
275C3×C22⋊C4C22×C4116yescomplemented
276C3×C42C22×C4116yescomplemented
277#217—24no—
278#217—24no—
279#217—24no—
280#217—24no—
281#217—24no—
282#217—24no—
283#217—28no—
284#217—44no—
285#217—44no—
286#217—44no—
287C4⋊Dic3—28no—
288C4⋊Dic3—44no—
289C4⋊Dic3—44no—
290C4⋊Dic3—44no—
291C4×Dic3—28no—
292C4×Dic3—44no—
293C4×Dic3—44no—
294C4×Dic3—44no—
295C25C22×D311yescharacteristic
296C25C22×D311yescharacteristic
297C22×D4—24no—
298C22×D4—24no—
299C22×D4C2×Dic318yes—
300C22×D4C22×D312yes—
301C22×D4C22×D312yes—
302C23×C4—31no—
303C23×C4—32no—
304C23×C4—32no—
305C23×C4—32no—
306C23×C4—31no—
307C23×C4—31no—
308C23×C4—32no—
309C23×C4—31no—
310C23×C4—64no—
311C23×C4—124no—
312C23×C4C22×D311yescharacteristic
313C23×C4C22×D312yes—
314C23×C4C22×D312yes—
315C23×C4C22×D314yes—
316C4×D4C2×Dic3132yescomplemented
317C4×D4C2×Dic3132yescomplemented
318#117—128no—
319#117C2×Dic3116yescomplemented
320C2×C4⋊C4—34no—
321C2×C4⋊C4—34no—
322C2×C4⋊C4—34no—
323C2×C4⋊C4—34no—
324C2×C4⋊C4—124no—
325C2×C4⋊C4C22×D314yes—
326C2×C22⋊C4—34no—
327C2×C22⋊C4—32no—
328C2×C22⋊C4—32no—
329C2×C22⋊C4—32no—
330C2×C22⋊C4—32no—
331C2×C22⋊C4—32no—
332C2×C22⋊C4—32no—
333C2×C22⋊C4—34no—
334C2×C22⋊C4—34no—
335C2×C22⋊C4—34no—
336C2×C22⋊C4—64no—
337C2×C22⋊C4—64no—
338C2×C22⋊C4—64no—
339C2×C22⋊C4—124no—
340C2×C22⋊C4C2×Dic318yes—
341C2×C22⋊C4C2×Dic318yes—
342C2×C22⋊C4C2×Dic3116yescomplemented
343C2×C22⋊C4C22×D312yes—
344C2×C22⋊C4C22×D312yes—
345C2×C22⋊C4C22×D312yes—
346C2×C22⋊C4C22×D312yes—
347C2×C22⋊C4C22×D314yes—
348C2×C42—34no—
349C2×C42—34no—
350C2×C42—34no—
351C2×C42—34no—
352C2×C42—124no—
353C2×C42C22×D314yes—
354#95—34no—
355#95—34no—
356#95—34no—
357#95—34no—
358#95—34no—
359#95—34no—
360#95—34no—
361#95—34no—
362#95—34no—
363#95—34no—
364#95—34no—
365#95—34no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3—24no—
375C23×C3—24no—
376C23×C3—28no—
377C23×C3—44no—
378C23×C3—48no—
379C23×C3—44no—
380C23×C3—48no—
381C23×C3—48no—
382C23×C3—82no—
383C23×C3—82no—
384C23×C3—84no—
385C23×C3#117116yescomplemented
386C23×C3C23×C414yes—
387C23×C3C23×C412yes—
388C23×C3C23×C412yes—
389C23×C3C23×C412yes—
390C23×C3C2×#4112yes—
391C23×C3C2×#4112yes—
392C23×C3C2×#4112yes—
393C23×C3C2×#4112yes—
394C23×C3C2×#4112yes—
395C23×C3C2×#4112yes—
396C23×C3C2511yescharacteristic
397C3×D4—216no—
398C3×D4—216no—
399C2×C3×C4—28no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—24no—
403C2×C3×C4—24no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—48no—
407C2×C3×C4—48no—
408C2×C3×C4—416no—
409C2×C3×C4C23×C414yes—
410C2×C3×C4C23×C418yes—
411C2×C3×C4C23×C418yes—
412C2×Dic3—28no—
413C2×Dic3—22no—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—22no—
417C2×Dic3—24no—
418C2×Dic3—24no—
419C2×Dic3—22no—
420C2×Dic3—24no—
421C2×Dic3—24no—
422C2×Dic3—24no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—24no—
426C2×Dic3—24no—
427C2×Dic3—24no—
428C2×Dic3—48no—
429C2×Dic3—48no—
430C2×Dic3—48no—
431C2×Dic3—44no—
432C2×Dic3—82no—
433C2×Dic3—82no—
434C2×Dic3—84no—
435C2×Dic3H(5,𝔽2)14yes—
436C24—22no—
437C24—22no—
438C24—42no—
439C24—42no—
440C24—42no—
441C24—42no—
442C24#23514yes—
443C24#23514yes—
444C24C22×Dic314yes—
445C24C22×Dic314yes—
446C24C23×D312yes—
447C24C23×D311yescharacteristic
448C24C23×D311yescharacteristic
449C24C23×D311yescharacteristic
450C2×D4—232no—
451C2×D4—24no—
452C2×D4—24no—
453C2×D4—24no—
454C2×D4—24no—
455C2×D4C22×Dic318yes—
456C2×D4C22×Dic318yes—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—32no—
460C22×C4—32no—
461C22×C4—32no—
462C22×C4—34no—
463C22×C4—34no—
464C22×C4—32no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—44no—
468C22×C4—42no—
469C22×C4—44no—
470C22×C4—42no—
471C22×C4—64no—
472C22×C4—64no—
473C22×C4—64no—
474C22×C4—62no—
475C22×C4—64no—
476C22×C4—64no—
477C22×C4—64no—
478C22×C4—62no—
479C22×C4—64no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—122no—
483C22×C4—122no—
484C22×C4—122no—
485C22×C4—122no—
486C22×C4—122no—
487C22×C4—122no—
488C22×C4—122no—
489C22×C4—122no—
490C22×C4—122no—
491C22×C4—1216no—
492C22×C4C22×Dic314yes—
493C22×C4C22×Dic318yes—
494C22×C4C22×Dic318yes—
495C22×C4C22×Dic3116yescomplemented
496C22×C4C23×D312yes—
497C22×C4C23×D314yes—
498C22×C4C23×D314yes—
499C4⋊C4—68no—
500C4⋊C4—124no—
501C4⋊C4—124no—
502C4⋊C4—124no—
503C4⋊C4C22×Dic3116yescomplemented
504C22⋊C4—68no—
505C22⋊C4—64no—
506C22⋊C4—64no—
507C22⋊C4—64no—
508C22⋊C4—64no—
509C22⋊C4—64no—
510C22⋊C4—64no—
511C22⋊C4—124no—
512C22⋊C4—124no—
513C22⋊C4—124no—
514C22⋊C4C22×Dic318yes—
515C22⋊C4C22×Dic318yes—
516C22⋊C4C22×Dic318yes—
517C22⋊C4C22×Dic318yes—
518C22⋊C4C22×Dic3116yescomplemented
519C42—68no—
520C42—124no—
521C42—124no—
522C42—124no—
523C42C22×Dic3116yescomplemented
524C22×C3—24no—
525C22×C3—24no—
526C22×C3—24no—
527C22×C3—22no—
528C22×C3—22no—
529C22×C3—22no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—24no—
534C22×C3—24no—
535C22×C3—24no—
536C22×C3—24no—
537C22×C3—28no—
538C22×C3—416no—
539C22×C3—42no—
540C22×C3—42no—
541C22×C3—44no—
542C22×C3—88no—
543C22×C3C2×#11714yes—
544C22×C3C2×#11714yes—
545C22×C3C2×#11714yes—
546C22×C3C24×C411yescharacteristic
547C22×C3C22×#4111yescharacteristic
548C22×C3C22×#4111yescharacteristic
549C22×C3C2×H(5,𝔽2)12yes—
550C22×C3#58512yes—
551C3×C4—24no—
552C3×C4—28no—
553C3×C4—28no—
554Dic3—24no—
555Dic3—42no—
556Dic3—42no—
557Dic3—42no—
558Dic3—44no—
559Dic3—44no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—28no—
571C23—44no—
572C23—44no—
573C23—48no—
574C23—48no—
575C23—48no—
576C23—82no—
577C23—84no—
578C23—82no—
579C23#926116yescomplemented
580C23C2×#23512yes—
581C23C2×#23512yes—
582C23C2×#23512yes—
583C23C2×#23512yes—
584C23C2×#23512yes—
585C23C2×#23512yes—
586C23C23×Dic314yes—
587C23C23×Dic312yes—
588C23C23×Dic312yes—
589C23C23×Dic312yes—
590C23C24×D311yescharacteristic
591D4—216no—
592D4—216no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—28no—
600C2×C4—34no—
601C2×C4—48no—
602C2×C4—48no—
603C2×C4—416no—
604C2×C4—68no—
605C2×C4—62no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4—64no—
609C2×C4—64no—
610C2×C4—62no—
611C2×C4—62no—
612C2×C4—64no—
613C2×C4—64no—
614C2×C4—64no—
615C2×C4—62no—
616C2×C4—62no—
617C2×C4—64no—
618C2×C4—64no—
619C2×C4—64no—
620C2×C4—128no—
621C2×C4—128no—
622C2×C4—124no—
623C2×C4—128no—
624C2×C4—242no—
625C2×C4—244no—
626C2×C4—242no—
627C2×C4C23×Dic314yes—
628C2×C4C23×Dic318yes—
629C2×C4C23×Dic318yes—
630C2×C3—24no—
631C2×C3—24no—
632C2×C3—24no—
633C2×C3—44no—
634C2×C3C22×#11711yescharacteristic
635C2×C3C4×H(5,𝔽2)12yes—
636C2×C3#349011yescharacteristic
637C2×C3#349111yescharacteristic
638C2×C3#350512yes—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—24no—
643C22—24no—
644C22—24no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—24no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—28no—
653C22—416no—
654C22—42no—
655C22—44no—
656C22—42no—
657C22—88no—
658C22C2×#92614yes—
659C22C2×#92614yes—
660C22C2×#92614yes—
661C22C22×#23511yescharacteristic
662C22C22×#23511yescharacteristic
663C22D3×H(5,𝔽2)12yes—
664C22#596612yes—
665C22C24×Dic311yescharacteristic
666C4—24no—
667C4—28no—
668C4—28no—
669C4—64no—
670C4—122no—
671C4—124no—
672C4—124no—
673C4—122no—
674C4—122no—
675C3#3425111yescharacteristic, complemented, Sylow
676C2—24no—
677C2—24no—
678C2—24no—
679C2—44no—
680C2#8585911yescharacteristic
681C2#8586112yes—
682C2#8586811yescharacteristic
683C2C22×#92611yescharacteristic
684C2Dic3×H(5,𝔽2)12yes—
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC2×C3×#518C2
socle, cosocleC23×C3C25
prime radicalC23×C3×D4C22
hypercenterC2×#518D3
hypocenterC3#34251
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#518

Complements

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

NH ≅ G/Ntype
4. #82336C2semidirect
5. #82335C2semidirect
6. #82324C2semidirect
7. #82318C2semidirect
8. #82237C2semidirect
9. #82097C2semidirect
10. #82094C2semidirect
11. C2×#4950C2semidirect
12. #82083C2semidirect
13. C2×Dic3×C22⋊C4C2semidirect
17. C3×#518C4semidirect
28. C2×#926C22semidirect
29. C22×C4⋊Dic3C22semidirect
30. C22×C4×Dic3C22semidirect
38. #5212C22semidirect
39. #5212C22semidirect
41. #5211C22semidirect
42. C4×#217C22semidirect
43. C4×#217C22semidirect
45. C2×C3⋊#95C22semidirect
46. C2×C3⋊#95C22semidirect
47. #4980C22semidirect
48. #4980C22semidirect
49. #4980C22semidirect
50. #4980C22semidirect
51. #4951C22semidirect
52. #4951C22semidirect
53. #4951C22semidirect
54. #4951C22semidirect
57. #4950C22semidirect
58. #4950C22semidirect
59. #4950C22semidirect
62. Dic3×C22⋊C4C22semidirect
63. Dic3×C22⋊C4C22semidirect
64. Dic3×C22⋊C4C22semidirect
65. #4937C22semidirect
66. #4936C22semidirect
67. C4×C4⋊Dic3C22semidirect
68. #4932C22semidirect
103. C3×C4×D4C2×C4semidirect
104. C3×C4×D4C2×C4semidirect
105. C3×#117C2×C4semidirect
109. C2×C3×C22⋊C4C2×C4semidirect
155. #518Dic3semidirect
239. C22×C3×C4C22×C4semidirect
270. C3×C4⋊C4C22×C4semidirect
275. C3×C22⋊C4C22×C4semidirect
276. C3×C42C22×C4semidirect
316. C4×D4C2×Dic3semidirect
317. C4×D4C2×Dic3semidirect
319. #117C2×Dic3semidirect
342. C2×C22⋊C4C2×Dic3semidirect
385. C23×C3#117semidirect
495. C22×C4C22×Dic3semidirect
503. C4⋊C4C22×Dic3semidirect
518. C22⋊C4C22×Dic3semidirect
523. C42C22×Dic3semidirect
579. C23#926semidirect
675. C3#34251semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5182
#840432
C2×#52202
#823362
#823352
#823242
#823182
#822372
#820972
#820942
C2×#49502
#820832
C2×Dic3×C22⋊C42
#342513