Finite Group Databasebeta

← #10813345

Subgroups — #10813345

Order 768.

1042 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×#5111C211yesmaximal, characteristic
2C22×#817C211yesmaximal, characteristic, complemented
3C2×#4881C211yesmaximal, characteristic, complemented
4#74010C211yesmaximal, characteristic
5#73883C211yesmaximal, characteristic
6C3×#1808C211yesmaximal, characteristic, complemented
7#70631C211yesmaximal, characteristic, complemented
8#70608C211yesmaximal, characteristic, complemented
9#70605C211yesmaximal, characteristic, complemented
10#69505C211yesmaximal, characteristic, complemented
11#69504C211yesmaximal, characteristic, complemented
12#68876C211yesmaximal, characteristic, complemented
13#68875C211yesmaximal, characteristic, complemented
14#68797C211yesmaximal, characteristic, complemented
15#68796C211yesmaximal, characteristic, complemented
16#22659—31nomaximal, Sylow
17C23×C3×C8C2211yescharacteristic
18C2×C4×#67C2211yescharacteristic
19C22×C4⋊Dic3C2211yescharacteristic
20C22×C4⋊Dic3C2211yescharacteristic
21C22×ΓL(1,𝔽25)C2211yescharacteristic
22C2×#892C2211yescharacteristic
23C2×D3×C4⋊C4C2211yescharacteristic
24C2×#67⋊C4—21no—
25C2×C3×#107C2211yescharacteristic
26C2×C3×#107C2211yescharacteristic
27C3×#380C2211yescharacteristic
28C3×#380C2211yescharacteristic
29C2×#830C2211yescharacteristic
30#5111C418yescomplemented
31C2×(C2×D3)⋊C8C2211yescharacteristic
32C2×#817—24no—
33C2×#817C2211yescharacteristic
34C2×#817C2211yescharacteristic
35C2×#817C2211yescharacteristic
36C2×#817C2211yescharacteristic
37C2×#815C2211yescharacteristic
38C2×Dic3⋊C8C2211yescharacteristic
39#4987C2211yescharacteristic
40#4987C2211yescharacteristic
41#4977C2211yescharacteristic
42#4975C2211yescharacteristic
43Dic3×C4⋊C4C2211yescharacteristic
44Dic3×C4⋊C4C2211yescharacteristic
45C2×#808C2211yescharacteristic
46C2×#808C2211yescharacteristic
47C2×#807C2211yescharacteristic
48C2×#807C2211yescharacteristic
49#4958—21no—
50#4946—21no—
51Dic3×C22⋊C4—21no—
52#4881—24no—
53#4670—21no—
54#4668—21no—
55#4655—21no—
56#4647—21no—
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#435—31no—
64C2×#428—31no—
65C22×#106—31no—
66#2352—31no—
67D4×C4⋊C4—31no—
68#1949—31no—
69#1948—31no—
70#1854—31no—
71#1853—31no—
72#1853—31no—
73#1852—31no—
74#1847—31no—
75#1809—31no—
76#1808D311yescharacteristic, complemented
77#1776—31no—
78C23×C3×C4C2311yescharacteristic
79C22×#67D411yescharacteristic
80C23×Dic3—21no—
81C23×Dic3—21no—
82C22×C4×D3—21no—
83C22×C4×D3C2311yescharacteristic
84C22×C3×C8—22no—
85C22×C3×C8—22no—
86C22×C3×C8C2×C414yescomplemented
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C2×C3×C4⋊C4C2311yescharacteristic
90C2×C3×C4⋊C4C2311yescharacteristic
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C22⋊C4—21no—
94C2×C3×C22⋊C4—21no—
95C2×#217D411yescharacteristic
96C4×#67C2×C414yes—
97C4×#67Q814yes—
98C2×(C2×D3)⋊C4—21no—
99C2×(C2×D3)⋊C4—21no—
100C2×(C2×D3)⋊C4—21no—
101C2×(C2×D3)⋊C4D411yescharacteristic
102C2×C4⋊Dic3—22no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3—21no—
105C2×C4⋊Dic3—21no—
106C2×C4⋊Dic3—41no—
107C2×C4⋊Dic3—41no—
108C2×C4⋊Dic3C2311yescharacteristic
109C2×C4⋊Dic3C2311yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4⋊Dic3C2311yescharacteristic
112C2×Dic3⋊C4—21no—
113C2×Dic3⋊C4—21no—
114C2×Dic3⋊C4—21no—
115C2×Dic3⋊C4D411yescharacteristic
116C2×C4×Dic3—21no—
117C2×C4×Dic3—21no—
118C2×C4×Dic3—21no—
119C2×C4×Dic3C2311yescharacteristic
120C22×C3⋊C8C2311yescharacteristic
121C22×C3⋊C8C2311yescharacteristic
122C2×ΓL(1,𝔽25)—22no—
123C2×ΓL(1,𝔽25)—22no—
124C2×ΓL(1,𝔽25)C2×C414yescomplemented
125#892—22no—
126#892—41no—
127D3×C4⋊C4—22no—
128D3×C4⋊C4—41no—
129#67⋊C4—44no—
130C3×#107—22no—
131C3×#107—22no—
132C3×#95—21no—
133C3×#95—21no—
134C3⋊#95—21no—
135C3⋊#95—21no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140#830C2×C414yescomplemented
141(C2×D3)⋊C8C2×C414yescomplemented
142#817—22no—
143#817—22no—
144#817—22no—
145#817D414yescomplemented
146#815C2×C414yescomplemented
147Dic3⋊C8C2×C414yescomplemented
148#808—22no—
149#808—41no—
150#807—22no—
151#807—41no—
152C22×M16—31no—
153C23×C8C2×D311yescharacteristic
154C2×C4×D4—31no—
155C2×C4×D4—61no—
156C2×#117—31no—
157C22×C4⋊C4—31no—
158C22×C4⋊C4—31no—
159C22×C4⋊C4—31no—
160#435—38no—
161#428—64no—
162C2×#107—31no—
163C2×#107—31no—
164C2×#107C2×D311yescharacteristic
165C2×#107C2×D311yescharacteristic
166C2×#106—31no—
167C2×#106—31no—
168C2×#106—31no—
169C2×#106—31no—
170C2×#106—31no—
171C2×#106—31no—
172C2×#106—64no—
173C2×C4⋊C8—31no—
174C2×C22⋊C8—31no—
175C2×C22⋊C8—31no—
176C2×#97—31no—
177#389—61no—
178#388—61no—
179#387—61no—
180#386—61no—
181#385—61no—
182#385—61no—
183#384—31no—
184#382—31no—
185#380—31no—
186#380—31no—
187#380C2×D311yescharacteristic
188#380C2×D311yescharacteristic
189C4×C4⋊C4—31no—
190C4×C4⋊C4—31no—
191C4×C22⋊C4—61no—
192#340—31no—
193#340—31no—
194#340—31no—
195#340—31no—
196#340C2×D311yescharacteristic
197#340C2×D311yescharacteristic
198C24×C3C2×D411yescharacteristic
199C23×D3C2×D411yescharacteristic
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4C22×C412yes—
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×Q812yes—
211C22×C3×C4C2411yescharacteristic
212C2×#67—22no—
213C2×#67—22no—
214C2×#67C4⋊C414yes—
215C22×Dic3—21no—
216C22×Dic3—21no—
217C22×Dic3—21no—
218C22×Dic3—21no—
219C22×Dic3—42no—
220C22×Dic3—42no—
221C22×Dic3—42no—
222C22×Dic3—42no—
223C22×Dic3—81no—
224C22×Dic3—81no—
225C22×Dic3C2×D411yescharacteristic
226C22×Dic3C2×D411yescharacteristic
227C22×Dic3C2×D411yescharacteristic
228C2×C4×D3—21no—
229C2×C4×D3—21no—
230C2×C4×D3—21no—
231C2×C4×D3—21no—
232C2×C4×D3—42no—
233C2×C4×D3—42no—
234C2×C4×D3—81no—
235C2×C4×D3C22×C412yes—
236C2×C4×D3C2×Q812yes—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—28no—
240C2×C3×C8C22×C412yes—
241C2×C3×C8C22×C412yes—
242C2×C3×C8C2×D412yes—
243C2×C3×C8#4112yes—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C22⋊C4—42no—
253C3×C22⋊C4—42no—
254#217C4⋊C414yes—
255(C2×D3)⋊C4—42no—
256(C2×D3)⋊C4—42no—
257(C2×D3)⋊C4—81no—
258(C2×D3)⋊C4C4⋊C414yes—
259C4⋊Dic3—21no—
260C4⋊Dic3—21no—
261C4⋊Dic3—21no—
262C4⋊Dic3—21no—
263C4⋊Dic3—21no—
264C4⋊Dic3—21no—
265C4⋊Dic3—42no—
266C4⋊Dic3—42no—
267C4⋊Dic3C2×D412yes—
268C4⋊Dic3C2×D412yes—
269Dic3⋊C4—42no—
270Dic3⋊C4—42no—
271Dic3⋊C4—81no—
272Dic3⋊C4C4⋊C414yes—
273C4×Dic3—42no—
274C4×Dic3—42no—
275C4×Dic3—81no—
276C4×Dic3C22×C412yes—
277C4×Dic3C2×Q812yes—
278C2×C3⋊C8—21no—
279C2×C3⋊C8—21no—
280C2×C3⋊C8—21no—
281C2×C3⋊C8—21no—
282C2×C3⋊C8C22×C412yes—
283C2×C3⋊C8C22×C412yes—
284ΓL(1,𝔽25)—28no—
285C22×D4—31no—
286C23×C4—31no—
287C23×C4—61no—
288C23×C4—61no—
289C23×C4—61no—
290C23×C4C22×D311yescharacteristic
291C2×M16—34no—
292C2×M16—62no—
293C2×M16—62no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8—31no—
297C22×C8—31no—
298C22×C8C4×D314yescomplemented
299C22×C8C22×D311yescharacteristic
300C22×C8C22×D311yescharacteristic
301C4×D4—34no—
302C4×D4—34no—
303C4×D4—124no—
304#117—62no—
305#117—121no—
306C2×C4⋊C4—31no—
307C2×C4⋊C4—31no—
308C2×C4⋊C4—31no—
309C2×C4⋊C4—31no—
310C2×C4⋊C4—31no—
311C2×C4⋊C4—62no—
312C2×C4⋊C4—62no—
313C2×C4⋊C4—62no—
314C2×C4⋊C4—61no—
315C2×C4⋊C4—61no—
316C2×C4⋊C4—61no—
317C2×C4⋊C4—61no—
318C2×C4⋊C4—61no—
319C2×C4⋊C4—121no—
320C2×C4⋊C4—121no—
321C2×C4⋊C4—121no—
322C2×C4⋊C4C22×D311yescharacteristic
323C2×C4⋊C4C22×D311yescharacteristic
324C2×C4⋊C4C22×D311yescharacteristic
325C2×C4⋊C4C22×D311yescharacteristic
326C2×C22⋊C4—21no—
327C2×C22⋊C4—21no—
328C2×C22⋊C4—31no—
329C2×C22⋊C4—31no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C42—31no—
334C2×C42—61no—
335C2×C42—61no—
336C2×C42—61no—
337#107—22no—
338#107—22no—
339#107—62no—
340#107—121no—
341#106—34no—
342#106—62no—
343#106—62no—
344#106—62no—
345#106—62no—
346#106—121no—
347C4⋊C8—34no—
348C22⋊C8—34no—
349C22⋊C8—34no—
350#97—34no—
351#95—21no—
352#95—21no—
353#95—61no—
354#95—61no—
355#95—61no—
356#95—61no—
357#95—61no—
358#95—61no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3C2×C4⋊C412yes—
364C23×C3AGL(1,ℤ/8)12yes—
365C23×C3#13712yes—
366C23×C3C22×D411yescharacteristic
367C22×D3—21no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3—21no—
372C22×D3—21no—
373C22×D3C2×C4⋊C412yes—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4C2×C4⋊C412yes—
393C2×C3×C4C23×C411yescharacteristic
394C2×C3×C4C22×D411yescharacteristic
395C2×C3×C4C22×Q811yescharacteristic
396C2×C3×C4C2×#4111yescharacteristic
397C2×C3×C4H(5,𝔽2)11yescharacteristic
398C2×C3×C42−1+411yescharacteristic
399#67—28no—
400C2×Dic3—21no—
401C2×Dic3—21no—
402C2×Dic3—21no—
403C2×Dic3—21no—
404C2×Dic3—21no—
405C2×Dic3—21no—
406C2×Dic3—22no—
407C2×Dic3—22no—
408C2×Dic3—41no—
409C2×Dic3—41no—
410C2×Dic3—41no—
411C2×Dic3—41no—
412C2×Dic3—41no—
413C2×Dic3—41no—
414C2×Dic3—41no—
415C2×Dic3—41no—
416C2×Dic3—41no—
417C2×Dic3—41no—
418C2×Dic3—84no—
419C2×Dic3—84no—
420C2×Dic3C2×C4⋊C412yes—
421C2×Dic3C2×C4⋊C412yes—
422C2×Dic3C2×C4⋊C412yes—
423C4×D3—22no—
424C4×D3—22no—
425C4×D3—22no—
426C4×D3—22no—
427C4×D3—84no—
428C3×C8—22no—
429C3×C8C4×D414yescomplemented
430C3⋊C8—22no—
431C3⋊C8—22no—
432C24—31no—
433C24D3×D411yescharacteristic
434C2×D4—34no—
435C2×D4—62no—
436C2×D4—62no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—31no—
446C22×C4—31no—
447C22×C4—31no—
448C22×C4—32no—
449C22×C4—32no—
450C22×C4—61no—
451C22×C4—61no—
452C22×C4—61no—
453C22×C4—61no—
454C22×C4—61no—
455C22×C4—61no—
456C22×C4—61no—
457C22×C4—61no—
458C22×C4—122no—
459C22×C4—122no—
460C22×C4—122no—
461C22×C4—122no—
462C22×C4—122no—
463C22×C4—122no—
464C22×C4—241no—
465C22×C4—241no—
466C22×C4—241no—
467C22×C4C2×C4×D312yes—
468C22×C4D3×D411yescharacteristic
469C22×C4D3×Q812yes—
470C22×C4C23×D311yescharacteristic
471M16—68no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—28no—
475C2×C8—32no—
476C2×C8—32no—
477C2×C8—61no—
478C2×C8—61no—
479C2×C8—61no—
480C2×C8—61no—
481C2×C8C2×C4×D312yes—
482C2×C8C2×C4×D312yes—
483C2×C8D3×D412yes—
484C2×C8#23712yes—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—34no—
494C4⋊C4—32no—
495C4⋊C4—32no—
496C4⋊C4—61no—
497C4⋊C4—61no—
498C4⋊C4—61no—
499C4⋊C4—61no—
500C4⋊C4—61no—
501C4⋊C4—61no—
502C4⋊C4—122no—
503C4⋊C4—122no—
504C4⋊C4—122no—
505C4⋊C4—122no—
506C4⋊C4—241no—
507C22⋊C4—34no—
508C22⋊C4—34no—
509C22⋊C4—42no—
510C22⋊C4—42no—
511C22⋊C4—122no—
512C22⋊C4—122no—
513C22⋊C4—241no—
514C42—32no—
515C42—32no—
516C42—122no—
517C42—122no—
518C42—241no—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3#42814yescomplemented
526C22×C3C22×C4⋊C411yescharacteristic
527C22×C3D4211yescharacteristic
528C22×C3#54711yescharacteristic
529C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
530C22×C3C2×#13711yescharacteristic
531C22×C3#57711yescharacteristic
532C22×C3#57711yescharacteristic
533C2×D3—22no—
534C2×D3—22no—
535C2×D3—22no—
536C2×D3—41no—
537C2×D3—41no—
538C2×D3—41no—
539C2×D3—41no—
540C3×C4—22no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4—81no—
545C3×C4C2×C4×D411yescharacteristic
546C3×C4#52011yescharacteristic
547C3×C4D4×Q811yescharacteristic
548C3×C4#55411yescharacteristic
549Dic3—22no—
550Dic3—22no—
551Dic3—22no—
552Dic3—42no—
553Dic3—42no—
554Dic3—81no—
555Dic3—81no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—32no—
561C23—61no—
562C23—61no—
563C23—61no—
564C23—61no—
565C23—61no—
566C23—61no—
567C23D3×C4⋊C412yes—
568C23#91112yes—
569C23#91812yes—
570C23C2×D3×D411yescharacteristic
571D4—68no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—32no—
579C2×C4—32no—
580C2×C4—32no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—61no—
594C2×C4—61no—
595C2×C4—61no—
596C2×C4—61no—
597C2×C4—61no—
598C2×C4—61no—
599C2×C4—62no—
600C2×C4—62no—
601C2×C4—62no—
602C2×C4—62no—
603C2×C4—62no—
604C2×C4—62no—
605C2×C4—121no—
606C2×C4—121no—
607C2×C4—121no—
608C2×C4—121no—
609C2×C4—121no—
610C2×C4—121no—
611C2×C4—121no—
612C2×C4—121no—
613C2×C4—121no—
614C2×C4—121no—
615C2×C4—244no—
616C2×C4—244no—
617C2×C4—244no—
618C2×C4D3×C4⋊C412yes—
619C2×C4C22×C4×D311yescharacteristic
620C2×C4C2×D3×D411yescharacteristic
621C2×C4C2×#23711yescharacteristic
622C2×C4C2×D3×Q811yescharacteristic
623C2×C4#100911yescharacteristic
624C2×C4#101011yescharacteristic
625C8—22no—
626C8—62no—
627C8—62no—
628C8#67⋊C414yescomplemented
629C2×C3—24no—
630C2×C3D4×C4⋊C411yescharacteristic
631C2×C3C2×#42811yescharacteristic
632C2×C3#291211yescharacteristic
633C2×C3#326511yescharacteristic
634C2×C3#326611yescharacteristic
635C2×C3#334411yescharacteristic
636C2×C3#334511yescharacteristic
637D3—42no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—62no—
645C22—62no—
646C22—62no—
647C22—121no—
648C22—121no—
649C22—121no—
650C22—121no—
651C22#488114yescomplemented
652C22C2×D3×C4⋊C411yescharacteristic
653C22#560911yescharacteristic
654C22#561111yescharacteristic
655C22C2×#91111yescharacteristic
656C22C2×#91811yescharacteristic
657C22#577011yescharacteristic
658C22#577011yescharacteristic
659C4—22no—
660C4—62no—
661C4—62no—
662C4—62no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—122no—
668C4—122no—
669C4—241no—
670C4—241no—
671C4C2×#67⋊C411yescharacteristic
672C4#552311yescharacteristic
673C4#563211yescharacteristic
674C4#563511yescharacteristic
675C3#2265911yescharacteristic, complemented, Sylow
676C2—24no—
677C2—122no—
678C2#7401011yescharacteristic
679C2C2×#488111yescharacteristic
680C2#7917811yescharacteristic
681C2#8071111yescharacteristic
682C2#8072711yescharacteristic
683C2#8075511yescharacteristic
684C2#8077111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1808C2
socleC23×C3C22×D4
prime radicalC22×#67D4
cosocleC22×C3×C4C24
hypercenter#1808D3
hypocenterC3#22659
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1808

Complements

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

NH ≅ G/Ntype
2. C22×#817C2semidirect
3. C2×#4881C2semidirect
6. C3×#1808C2semidirect
7. #70631C2semidirect
8. #70608C2semidirect
9. #70605C2semidirect
10. #69505C2semidirect
11. #69504C2semidirect
12. #68876C2semidirect
13. #68875C2semidirect
14. #68797C2semidirect
15. #68796C2semidirect
30. #5111C4semidirect
76. #1808D3semidirect
86. C22×C3×C8C2×C4semidirect
124. C2×ΓL(1,𝔽25)C2×C4semidirect
140. #830C2×C4semidirect
141. (C2×D3)⋊C8C2×C4semidirect
145. #817D4semidirect
146. #815C2×C4semidirect
147. Dic3⋊C8C2×C4semidirect
298. C22×C8C4×D3semidirect
429. C3×C8C4×D4semidirect
525. C22×C3#428semidirect
628. C8#67⋊C4semidirect
651. C22#4881semidirect
675. C3#22659semidirect

Maximal subgroups

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

subgroupindex
C2×#51112
C22×#8172
C2×#48812
#740102
#738832
C3×#18082
#706312
#706082
#706052
#695052
#695042
#688762
#688752
#687972
#687962
#226593