Finite Group Databasebeta

← #10796366

Subgroups — #10796366

Order 768.

1914 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×M16C211yesmaximal, characteristic, complemented
2C2×#5524C211yesmaximal, characteristic
3C2×#5139C211yesmaximal, characteristic, complemented
4#82267C211yesmaximal, characteristic, complemented
5C2×#5005C211yesmaximal, characteristic, complemented
6C3×#1733C211yesmaximal, characteristic, complemented
7#71574C211yesmaximal, characteristic, complemented
8#68755C218yesmaximal, complemented
9#20902—31nomaximal, Sylow
10C22×#235C2211yescharacteristic
11C23×C4×D3C2211yescharacteristic
12C22×C3×M16C2211yescharacteristic
13C2×C3×#117C2211yescharacteristic
14C2×C3×#117C2211yescharacteristic
15C2×#926C2211yescharacteristic
16C22×#208C2211yescharacteristic
17C2×D3×M16—22no—
18C2×D3×M16—24no—
19C2×D3×M16—24no—
20C2×D3×M16C2214yescomplemented
21C22×ΓL(1,𝔽25)—21no—
22C22×D3×C8—21no—
23#5524—22no—
24#5524—21no—
25#5524—21no—
26#5524C412yescomplemented
27#5524C412yescomplemented
28#5524C2214yes—
29C2×#897C412yescomplemented
30C2×#895C412yescomplemented
31C2×#886—21no—
32C2×#882—21no—
33C2×C4×D12—22no—
34#5139—24no—
35C2×#825C2214yescomplemented
36#5005—24no—
37#4987—22no—
38#4955—21no—
39#4943—21no—
40C4×(C2×D3)⋊C4C2214yescomplemented
41C2×#805C2214yescomplemented
42C3×#339C2214yescomplemented
43#4532C2214yescomplemented
44C23×M16—31no—
45C2×#525—31no—
46C2×#421—31no—
47C2×#421—31no—
48#2280—31no—
49#1871—38no—
50#1733—31no—
51#1733D311yescharacteristic, complemented
52C24×D3D411yescharacteristic
53C23×C3×C4C2311yescharacteristic
54C22×#67—21no—
55C23×Dic3D411yescharacteristic
56C2×#235—21no—
57C2×#235—21no—
58C2×#235—22no—
59C2×#235—22no—
60C2×#235—22no—
61C2×#235—22no—
62C2×#235C2×C412yes—
63C2×#235C2312yes—
64C22×D12—22no—
65C22×D12C2×C411yescharacteristic
66C22×C4×D3—22no—
67C22×C4×D3—22no—
68C22×C4×D3—22no—
69C22×C4×D3—22no—
70C22×C4×D3—21no—
71C22×C4×D3C2×C412yes—
72C22×C4×D3C2×C411yescharacteristic
73C22×C4×D3C2×C411yescharacteristic
74C22×C4×D3D412yes—
75C22×C4×D3D412yes—
76C22×C4×D3D411yescharacteristic
77C22×C4×D3D411yescharacteristic
78C22×C4×D3C2312yes—
79C22×Dic6C2×C411yescharacteristic
80C2×C3×M16—22no—
81C2×C3×M16—21no—
82C2×C3×M16D414yescomplemented
83C2×C3×M16C2312yes—
84C22×C3×C8—21no—
85C3×#117—21no—
86C3×#117—21no—
87C3×#117—22no—
88C3×#117—22no—
89C3×#117C2×C412yes—
90C3×#117C2312yes—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4C2×C412yes—
93C2×C3×C22⋊C4—21no—
94C2×C3×C22⋊C4—21no—
95C2×C3×C42—21no—
96C2×C3×C42C2312yes—
97C2×#217—21no—
98C2×(C2×D3)⋊C4—22no—
99C2×(C2×D3)⋊C4—22no—
100C2×(C2×D3)⋊C4—24no—
101#926—22no—
102#926—22no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3—21no—
105C2×C4×Dic3C2312yes—
106C2×#208—22no—
107C2×#208—21no—
108C2×#208D414yescomplemented
109C2×#208C2312yes—
110C22×C3⋊C8—21no—
111D3×M16—216no—
112D3×M16—28no—
113D3×M16—28no—
114C2×ΓL(1,𝔽25)—28no—
115C2×ΓL(1,𝔽25)—24no—
116C2×D3×C8—28no—
117C2×D3×C8—24no—
118#897—22no—
119#897—22no—
120#897C2×C414yes—
121#897C2×C414yes—
122#895—22no—
123#895—22no—
124#895C2×C414yes—
125#895C2×C414yes—
126#886—22no—
127#886—22no—
128#886—24no—
129#882—22no—
130#882—22no—
131#882—24no—
132C4×D12—24no—
133C4×D12—24no—
134C4×D12—24no—
135C4×D12—24no—
136C3⋊#95—24no—
137#825—28no—
138#805—28no—
139C22×#41—31no—
140C24×C4—31no—
141C22×M16—31no—
142C22×M16—34no—
143C22×M16—61no—
144C22×M16—64no—
145C22×M16—62no—
146C22×M16—64no—
147C22×M16C2×D311yescharacteristic
148C23×C8—61no—
149#525—32no—
150#525—32no—
151#525—34no—
152#525—61no—
153#525—61no—
154#525—62no—
155C2×#123—61no—
156C2×C22⋊Q8—32no—
157C2×#121—32no—
158C2×#120—61no—
159C2×C4×D4—62no—
160C2×#117—31no—
161C2×#117C2×D311yescharacteristic
162C2×#117C2×D311yescharacteristic
163#421—64no—
164#421—64no—
165C2×#104—34no—
166C2×#104—34no—
167#381—61no—
168#380—62no—
169#379—61no—
170C4×C22⋊C4—34no—
171#339—34no—
172#339C2×D314yescomplemented
173C24×C3C2×D411yescharacteristic
174C23×D3—22no—
175C23×D3—22no—
176C23×D3—21no—
177C23×D3—44no—
178C23×D3C22⋊C411yescharacteristic
179C23×D3C22⋊C412yes—
180C23×D3C22⋊C411yescharacteristic
181C23×D3C2×D412yes—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4C22×C411yescharacteristic
185C22×C3×C4C22×C411yescharacteristic
186C22×C3×C4C2×D412yes—
187C22×C3×C4C2×D411yescharacteristic
188C22×C3×C4C2×D411yescharacteristic
189C22×C3×C4C2×D411yescharacteristic
190C22×C3×C4C2×D412yes—
191C22×C3×C4#4112yes—
192C22×C3×C4#4112yes—
193C22×C3×C4C2411yescharacteristic
194C2×#67—22no—
195C2×#67—22no—
196C2×#67—42no—
197C2×#67—42no—
198C22×Dic3—22no—
199C22×Dic3—22no—
200C22×Dic3—21no—
201C22×Dic3—22no—
202C22×Dic3C22⋊C411yescharacteristic
203C22×Dic3C22⋊C411yescharacteristic
204C22×Dic3C22⋊C412yes—
205C22×Dic3C2×D412yes—
206#235—24no—
207#235—24no—
208#235—22no—
209#235—22no—
210#235—22no—
211#235—22no—
212#235—42no—
213#235—42no—
214#235—42no—
215#235—42no—
216C2×D12—22no—
217C2×D12—22no—
218C2×D12—24no—
219C2×D12—24no—
220C2×D12—21no—
221C2×D12—48no—
222C2×D12C22×C412yes—
223C2×C4×D3—24no—
224C2×C4×D3—22no—
225C2×C4×D3—22no—
226C2×C4×D3—24no—
227C2×C4×D3—22no—
228C2×C4×D3—22no—
229C2×C4×D3—22no—
230C2×C4×D3—22no—
231C2×C4×D3—24no—
232C2×C4×D3—24no—
233C2×C4×D3—24no—
234C2×C4×D3—24no—
235C2×C4×D3—22no—
236C2×C4×D3—22no—
237C2×C4×D3—22no—
238C2×C4×D3—22no—
239C2×C4×D3—22no—
240C2×C4×D3—22no—
241C2×C4×D3—22no—
242C2×C4×D3—22no—
243C2×C4×D3—42no—
244C2×C4×D3—42no—
245C2×C4×D3C22⋊C412yes—
246C2×C4×D3C22⋊C412yes—
247C2×C4×D3C22⋊C412yes—
248C2×C4×D3C22⋊C412yes—
249C2×C4×D3C22×C412yes—
250C2×C4×D3C22×C412yes—
251C2×C4×D3C2×D412yes—
252C2×C4×D3C2×D412yes—
253C2×Dic6—22no—
254C2×Dic6—22no—
255C2×Dic6—21no—
256C2×Dic6C22×C412yes—
257C3×M16—24no—
258C3×M16—22no—
259C3×M16C2×D414yescomplemented
260C2×C3×C8—24no—
261C2×C3×C8—22no—
262C3×C4⋊C4—22no—
263C3×C4⋊C4—42no—
264C3×C4⋊C4C22×C414yes—
265C3×C22⋊C4—22no—
266C3×C22⋊C4—22no—
267C3×C22⋊C4—42no—
268C3×C42—22no—
269C3×C42—22no—
270C3×C42—22no—
271C3×C42—22no—
272#217—42no—
273(C2×D3)⋊C4—24no—
274(C2×D3)⋊C4—24no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—48no—
278C4⋊Dic3—24no—
279C4⋊Dic3—24no—
280C4⋊Dic3—42no—
281C4×Dic3—22no—
282C4×Dic3—22no—
283#208—24no—
284#208—22no—
285#208C2×D414yescomplemented
286C2×C3⋊C8—24no—
287C2×C3⋊C8—22no—
288ΓL(1,𝔽25)—216no—
289D3×C8—216no—
290C25—31no—
291C2×#41—32no—
292C2×#41—32no—
293C2×#41—61no—
294C2×#41—61no—
295C2×#41—62no—
296C2×#41—62no—
297C2×#41—62no—
298C2×#41—62no—
299C22×Q8—31no—
300C22×D4—31no—
301C22×D4—62no—
302C22×D4—61no—
303C23×C4—31no—
304C23×C4—32no—
305C23×C4—31no—
306C23×C4—31no—
307C23×C4—32no—
308C23×C4—31no—
309C23×C4—31no—
310C23×C4—32no—
311C23×C4—32no—
312C23×C4—62no—
313C23×C4—62no—
314C23×C4—62no—
315C23×C4—62no—
316C23×C4—61no—
317C23×C4C22×D311yescharacteristic
318C2×M16—22no—
319C2×M16—21no—
320C2×M16—34no—
321C2×M16—32no—
322C2×M16—64no—
323C2×M16—68no—
324C2×M16—68no—
325C2×M16—616no—
326C2×M16—62no—
327C2×M16—61no—
328C2×M16—68no—
329C2×M16D1214yescomplemented
330C2×M16C22×D312yes—
331C22×C8—21no—
332C22×C8—64no—
333C22×C8—68no—
334C22×C8—61no—
335#123—62no—
336#123—62no—
337#123—64no—
338C22⋊Q8—34no—
339C22⋊Q8—34no—
340C22⋊Q8—62no—
341C22⋊Q8—62no—
342#121—34no—
343#121—34no—
344#121—62no—
345#121—62no—
346#120—62no—
347#120—62no—
348#120—64no—
349C4×D4—64no—
350C4×D4—64no—
351C4×D4—64no—
352C4×D4—64no—
353#117—21no—
354#117—21no—
355#117—22no—
356#117—22no—
357#117—62no—
358#117—62no—
359#117C4×D312yes—
360#117C22×D312yes—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—62no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4C4×D312yes—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—62no—
368C2×C22⋊C4—62no—
369C2×C22⋊C4—64no—
370C2×C22⋊C4—61no—
371C2×C42—21no—
372C2×C42—32no—
373C2×C42C22×D312yes—
374#104—68no—
375#104—68no—
376#95—64no—
377C23×C3—42no—
378C23×C3C2×C22⋊C411yescharacteristic
379C23×C3C2×C22⋊C411yescharacteristic
380C23×C3#12112yes—
381C23×C3#12112yes—
382C23×C3C22×D411yescharacteristic
383C22×D3—22no—
384C22×D3—24no—
385C22×D3—22no—
386C22×D3—22no—
387C22×D3—24no—
388C22×D3—22no—
389C22×D3—24no—
390C22×D3—24no—
391C22×D3—22no—
392C22×D3—42no—
393C22×D3—42no—
394C22×D3—42no—
395C22×D3—48no—
396C22×D3—48no—
397C22×D3—44no—
398C22×D3—42no—
399C22×D3C2×C22⋊C412yes—
400C22×D3C2×C22⋊C412yes—
401C2×C3×C4—24no—
402C2×C3×C4—44no—
403C2×C3×C4—44no—
404C2×C3×C4—42no—
405C2×C3×C4C2×C22⋊C411yescharacteristic
406C2×C3×C4C2×C22⋊C411yescharacteristic
407C2×C3×C4C4×D412yes—
408C2×C3×C4C4×D412yes—
409C2×C3×C4C4×D412yes—
410C2×C3×C4C4×D412yes—
411C2×C3×C4#12012yes—
412C2×C3×C4#12012yes—
413C2×C3×C4#12112yes—
414C2×C3×C4#12112yes—
415C2×C3×C4#12312yes—
416C2×C3×C4#12312yes—
417C2×C3×C4C23×C411yescharacteristic
418C2×C3×C4C22×D411yescharacteristic
419C2×C3×C4C22×D411yescharacteristic
420C2×C3×C4C22×D411yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423#67—42no—
424#67—42no—
425#67—44no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—24no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—42no—
433C2×Dic3—44no—
434C2×Dic3—42no—
435C2×Dic3C2×C22⋊C412yes—
436C2×Dic3C2×C22⋊C412yes—
437D12—22no—
438D12—22no—
439D12—48no—
440D12—48no—
441D12—42no—
442C4×D3—22no—
443C4×D3—22no—
444C4×D3—22no—
445C4×D3—22no—
446C4×D3—22no—
447C4×D3—22no—
448C4×D3—22no—
449C4×D3—22no—
450C4×D3—24no—
451C4×D3—24no—
452C4×D3—24no—
453C4×D3—24no—
454C4×D3—42no—
455C4×D3—42no—
456C4×D3—44no—
457Dic6—22no—
458Dic6—22no—
459Dic6—42no—
460C3×C8—24no—
461C3⋊C8—24no—
462C24—31no—
463C24—32no—
464C24—32no—
465C24—31no—
466C24—62no—
467C24—62no—
468C24—61no—
469C24—124no—
470C24D3×D411yescharacteristic
471#41—64no—
472#41—64no—
473#41—62no—
474#41—62no—
475#41—62no—
476#41—62no—
477#41—122no—
478#41—122no—
479#41—122no—
480#41—122no—
481C2×Q8—32no—
482C2×Q8—61no—
483C2×Q8—62no—
484C2×Q8—62no—
485C2×D4—32no—
486C2×D4—64no—
487C2×D4—64no—
488C2×D4—62no—
489C2×D4—62no—
490C2×D4—62no—
491C2×D4—61no—
492C2×D4—62no—
493C2×D4—128no—
494C2×D4—122no—
495C2×D4—122no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—32no—
499C22×C4—31no—
500C22×C4—31no—
501C22×C4—32no—
502C22×C4—32no—
503C22×C4—32no—
504C22×C4—32no—
505C22×C4—32no—
506C22×C4—32no—
507C22×C4—32no—
508C22×C4—32no—
509C22×C4—32no—
510C22×C4—62no—
511C22×C4—62no—
512C22×C4—64no—
513C22×C4—62no—
514C22×C4—62no—
515C22×C4—62no—
516C22×C4—64no—
517C22×C4—62no—
518C22×C4—64no—
519C22×C4—64no—
520C22×C4—62no—
521C22×C4—62no—
522C22×C4—64no—
523C22×C4—62no—
524C22×C4—62no—
525C22×C4—64no—
526C22×C4—62no—
527C22×C4—62no—
528C22×C4—62no—
529C22×C4—62no—
530C22×C4—61no—
531C22×C4—62no—
532C22×C4—62no—
533C22×C4—62no—
534C22×C4—122no—
535C22×C4—122no—
536C22×C4C2×C4×D311yescharacteristic
537C22×C4C2×C4×D311yescharacteristic
538C22×C4C2×D1212yes—
539C22×C4#23512yes—
540C22×C4D3×D411yescharacteristic
541C22×C4D3×D411yescharacteristic
542C22×C4D3×D411yescharacteristic
543C22×C4D3×D412yes—
544C22×C4#23912yes—
545C22×C4C23×D311yescharacteristic
546M16—24no—
547M16—22no—
548M16—34no—
549M16—616no—
550M16—64no—
551M16—62no—
552M16C2×D1214yescomplemented
553C2×C8—24no—
554C2×C8—22no—
555C2×C8—616no—
556C2×C8—64no—
557C2×C8—62no—
558C4⋊C4—22no—
559C4⋊C4—42no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—122no—
563C4⋊C4C2×C4×D314yes—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—42no—
567C22⋊C4—64no—
568C22⋊C4—64no—
569C22⋊C4—64no—
570C22⋊C4—64no—
571C22⋊C4—128no—
572C22⋊C4—122no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—62no—
578C42—62no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—22no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3#38612yes—
585C22×C3#38612yes—
586C22×C3C22×C22⋊C411yescharacteristic
587C22×C3C2×#12111yescharacteristic
588C22×C3C2×#12111yescharacteristic
589C2×D3—28no—
590C2×D3—22no—
591C2×D3—22no—
592C2×D3—22no—
593C2×D3—22no—
594C2×D3—22no—
595C2×D3—44no—
596C2×D3—44no—
597C2×D3—48no—
598C2×D3—44no—
599C2×D3—44no—
600C2×D3—42no—
601C2×D3—84no—
602C2×D3#42114yescomplemented
603C3×C4—44no—
604C3×C4—82no—
605C3×C4#38612yes—
606C3×C4#38612yes—
607C3×C4C2×C4×D411yescharacteristic
608C3×C4C2×C4×D411yescharacteristic
609C3×C4C2×#12011yescharacteristic
610C3×C4C2×#12311yescharacteristic
611Dic3—22no—
612Dic3—22no—
613Dic3—42no—
614Dic3—82no—
615C23—32no—
616C23—32no—
617C23—42no—
618C23—64no—
619C23—64no—
620C23—64no—
621C23—62no—
622C23—64no—
623C23—62no—
624C23—62no—
625C23—62no—
626C23—62no—
627C23—122no—
628C23—122no—
629C23—122no—
630C23—124no—
631C23—128no—
632C23—128no—
633C23—122no—
634C23D3×C22⋊C411yescharacteristic
635C23D3×C22⋊C411yescharacteristic
636C23#88412yes—
637C23#89512yes—
638C23C2×D3×D411yescharacteristic
639Q8—62no—
640Q8—62no—
641Q8—122no—
642D4—62no—
643D4—62no—
644D4—128no—
645D4—128no—
646D4—124no—
647D4—122no—
648D4—122no—
649D4—122no—
650C2×C4—24no—
651C2×C4—32no—
652C2×C4—32no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—64no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—122no—
675C2×C4—124no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4—124no—
679C2×C4—122no—
680C2×C4C4×D1212yes—
681C2×C4C4×D1212yes—
682C2×C4D3×C22⋊C411yescharacteristic
683C2×C4D3×C22⋊C411yescharacteristic
684C2×C4#88212yes—
685C2×C4#88212yes—
686C2×C4#88412yes—
687C2×C4#89312yes—
688C2×C4#89312yes—
689C2×C4#89412yes—
690C2×C4#89412yes—
691C2×C4#89512yes—
692C2×C4C22×C4×D311yescharacteristic
693C2×C4C22×D1211yescharacteristic
694C2×C4C2×#23511yescharacteristic
695C2×C4C2×D3×D411yescharacteristic
696C2×C4C2×D3×D411yescharacteristic
697C2×C4C2×#23911yescharacteristic
698C8—24no—
699C8—64no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—22no—
703C2×C3—22no—
704C2×C3C2×#38611yescharacteristic
705C2×C3C2×#42112yes—
706D3—24no—
707D3—42no—
708D3—82no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—34no—
713C22—42no—
714C22—42no—
715C22—68no—
716C22—62no—
717C22—62no—
718C22—62no—
719C22—62no—
720C22—62no—
721C22—124no—
722C22—124no—
723C22—128no—
724C22—124no—
725C22—124no—
726C22—122no—
727C22—244no—
728C22#466512yes—
729C22#466512yes—
730C22C2×D3×C22⋊C411yescharacteristic
731C22C2×#88411yescharacteristic
732C22C2×#89511yescharacteristic
733C4—44no—
734C4—62no—
735C4—62no—
736C4—82no—
737C4—122no—
738C4—242no—
739C4#466512yes—
740C4#466512yes—
741C4C2×C4×D1211yescharacteristic
742C4C2×#88211yescharacteristic
743C4C2×#89311yescharacteristic
744C4C2×#89411yescharacteristic
745C3#2090211yescharacteristic, complemented, Sylow
746C2—21no—
747C2—21no—
748C2—22no—
749C2—22no—
750C2—64no—
751C2—122no—
752C2—242no—
753C2C2×#466511yescharacteristic
754C2D3×#42112yes—
subgroupG/H
centerC2×C4C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1733C2
socleC22×C3C22×C22⋊C4
prime radicalC2×#5524C2
cosocleC22×C3×C4C24
hypercenter#1733D3
hypocenterC3#20902
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1733

Complements

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

NH ≅ G/Ntype
1. C22×D3×M16C2semidirect
3. C2×#5139C2semidirect
4. #82267C2semidirect
5. C2×#5005C2semidirect
6. C3×#1733C2semidirect
7. #71574C2semidirect
8. #68755C2semidirect
20. C2×D3×M16C22semidirect
26. #5524C4semidirect
27. #5524C4semidirect
29. C2×#897C4semidirect
30. C2×#895C4semidirect
35. C2×#825C22semidirect
40. C4×(C2×D3)⋊C4C22semidirect
41. C2×#805C22semidirect
42. C3×#339C22semidirect
43. #4532C22semidirect
51. #1733D3semidirect
82. C2×C3×M16D4semidirect
108. C2×#208D4semidirect
172. #339C2×D3semidirect
259. C3×M16C2×D4semidirect
285. #208C2×D4semidirect
329. C2×M16D12semidirect
552. M16C2×D12semidirect
602. C2×D3#421semidirect
745. C3#20902semidirect

Maximal subgroups

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

subgroupindex
C22×D3×M162
C2×#55242
C2×#51392
#822672
C2×#50052
C3×#17332
#715742
#687552
#209023