Finite Group Databasebeta

← #10813371

Subgroups — #10813371

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×C3×#435C211yesmaximal, characteristic
2C2×#5121C211yesmaximal, characteristic, complemented
3C22×#818C211yesmaximal, characteristic, complemented
4#82335C211yesmaximal, characteristic
5D4×C4⋊Dic3C211yesmaximal, characteristic
6#71988C211yesmaximal, characteristic, complemented
7#71970C211yesmaximal, characteristic, complemented
8#70455C211yesmaximal, characteristic, complemented
9#70453C211yesmaximal, characteristic, complemented
10#69929C211yesmaximal, characteristic, complemented
11#69928C211yesmaximal, characteristic, complemented
12#69927C211yesmaximal, characteristic, complemented
13#69927C211yesmaximal, characteristic, complemented
14#69816C211yesmaximal, characteristic, complemented
15#69814C211yesmaximal, characteristic, complemented
16#22661—31nomaximal, Sylow
17C22×C3×M16C2211yescharacteristic
18C23×C3×C8C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×D4×Dic3—21no—
21C2×#926C2211yescharacteristic
22C22×C4⋊Dic3C2211yescharacteristic
23C22×C4⋊Dic3C2211yescharacteristic
24C22×C4⋊Dic3C2211yescharacteristic
25C3×#435C418yescomplemented
26C2×C3×C4⋊C8C2211yescharacteristic
27C2×C3×C22⋊C8C2211yescharacteristic
28C2×C3×C22⋊C8C2211yescharacteristic
29C2×C3×#97C2211yescharacteristic
30#5220—21no—
31#5212C2211yescharacteristic
32#5212C2211yescharacteristic
33#5212C2211yescharacteristic
34#5212C2211yescharacteristic
35#5121—24no—
36C2×#818—24no—
37C2×#818C2211yescharacteristic
38C2×#818C2211yescharacteristic
39C2×#818C2211yescharacteristic
40C2×#818C2211yescharacteristic
41C2×#818C2211yescharacteristic
42C2×#818C2211yescharacteristic
43C2×#817C2211yescharacteristic
44C2×#817C2211yescharacteristic
45C2×#817C2211yescharacteristic
46C2×#817C2211yescharacteristic
47#4984—21no—
48#4980—21no—
49#4951—21no—
50#4950—21no—
51#4950—21no—
52Dic3×C22⋊C4—21no—
53#4936C2211yescharacteristic
54#4935C2211yescharacteristic
55C4×C4⋊Dic3C2211yescharacteristic
56C4×C4⋊Dic3C2211yescharacteristic
57#4551C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4551C2211yescharacteristic
61#4551C2211yescharacteristic
62#4551C2211yescharacteristic
63C2×#435D311yescharacteristic
64C2×#428—31no—
65C22×#107—31no—
66#2352—31no—
67D4×C4⋊C4—31no—
68#1949—31no—
69#1947—31no—
70#1854—31no—
71#1853—31no—
72#1852—31no—
73#1852—31no—
74#1847—31no—
75#1809—31no—
76#1807—31no—
77#1776—31no—
78C22×C3×D4D411yescharacteristic
79C23×C3×C4C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C23×Dic3—21no—
82C23×Dic3—21no—
83C23×Dic3—21no—
84C2×C3×M16—22no—
85C2×C3×M16—22no—
86C2×C3×M16C2×C414yescomplemented
87C22×C3×C8—22no—
88C22×C3×C8—22no—
89C22×C3×C8C2×C414yescomplemented
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C3×C4×D4C2×C414yes—
95C3×C4×D4Q814yes—
96C2×C3×C4⋊C4D411yescharacteristic
97C2×C3×C22⋊C4D411yescharacteristic
98C2×C3×C22⋊C4D411yescharacteristic
99C2×C3×C42C2311yescharacteristic
100C2×#217—21no—
101C2×#217—21no—
102C2×#217—21no—
103C2×#217—21no—
104C2×#217—21no—
105D4×Dic3—44no—
106#926—22no—
107#926—41no—
108C2×C4⋊Dic3—22no—
109C2×C4⋊Dic3—22no—
110C2×C4⋊Dic3—22no—
111C2×C4⋊Dic3—21no—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3—21no—
114C2×C4⋊Dic3—21no—
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3—41no—
117C2×C4⋊Dic3—41no—
118C2×C4⋊Dic3—41no—
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×C4⋊Dic3C2311yescharacteristic
125C2×C4⋊Dic3C2311yescharacteristic
126C2×C4⋊Dic3C2311yescharacteristic
127C2×C4×Dic3—21no—
128C2×C4×Dic3—21no—
129C2×C4×Dic3—21no—
130C3×C4⋊C8C2×C414yescomplemented
131C3×C22⋊C8C2×C414yescomplemented
132C3×C22⋊C8C2×C414yescomplemented
133C3×#97C2×C414yescomplemented
134C3⋊#95—21no—
135C3⋊#95—21no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142#818—22no—
143#818—22no—
144#818—22no—
145#818—22no—
146#818—41no—
147#818D414yescomplemented
148#817—22no—
149#817—22no—
150#817—22no—
151#817—41no—
152C22×M16C2×D311yescharacteristic
153C23×C8C2×D311yescharacteristic
154C2×C4×D4—61no—
155C2×C4×D4C2×D311yescharacteristic
156C2×#117—31no—
157C22×C4⋊C4—31no—
158C22×C4⋊C4—31no—
159C22×C4⋊C4—31no—
160#435Dic318yescomplemented
161#428—64no—
162C2×#107—31no—
163C2×#107—31no—
164C2×#107—31no—
165C2×#107—31no—
166C2×#107—31no—
167C2×#107—31no—
168C2×#107—64no—
169C2×#106—31no—
170C2×#106—31no—
171C2×#106—31no—
172C2×#106—31no—
173C2×C4⋊C8C2×D311yescharacteristic
174C2×C22⋊C8C2×D311yescharacteristic
175C2×C22⋊C8C2×D311yescharacteristic
176C2×#97C2×D311yescharacteristic
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#380—31no—
188#380—31no—
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#340—31no—
197#340—31no—
198C24×C3C2×D411yescharacteristic
199C24×C3C2×D411yescharacteristic
200C2×C3×D4—22no—
201C2×C3×D4—22no—
202C2×C3×D4C4⋊C414yes—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4C22×C412yes—
212C22×C3×C4C22×C412yes—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×Q812yes—
218C22×C3×C4C2×Q812yes—
219C22×C3×C4C2411yescharacteristic
220C22×Dic3—21no—
221C22×Dic3—21no—
222C22×Dic3—21no—
223C22×Dic3—21no—
224C22×Dic3—21no—
225C22×Dic3—21no—
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—42no—
229C22×Dic3—42no—
230C22×Dic3—42no—
231C22×Dic3—42no—
232C22×Dic3—42no—
233C22×Dic3—42no—
234C22×Dic3—81no—
235C22×Dic3—81no—
236C22×Dic3—81no—
237C3×M16—28no—
238C2×C3×C8—21no—
239C2×C3×C8—21no—
240C2×C3×C8—21no—
241C2×C3×C8—21no—
242C2×C3×C8—21no—
243C2×C3×C8—21no—
244C2×C3×C8—28no—
245C2×C3×C8C22×C412yes—
246C2×C3×C8C22×C412yes—
247C2×C3×C8C22×C412yes—
248C2×C3×C8C22×C412yes—
249C2×C3×C8C2×D412yes—
250C2×C3×C8#4112yes—
251C3×C4⋊C4C4⋊C414yes—
252C3×C22⋊C4C4⋊C414yes—
253C3×C22⋊C4C4⋊C414yes—
254C3×C42C22×C412yes—
255C3×C42C2×Q812yes—
256#217—42no—
257#217—42no—
258#217—42no—
259#217—42no—
260#217—81no—
261C4⋊Dic3—21no—
262C4⋊Dic3—21no—
263C4⋊Dic3—21no—
264C4⋊Dic3—21no—
265C4⋊Dic3—21no—
266C4⋊Dic3—21no—
267C4⋊Dic3—21no—
268C4⋊Dic3—21no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—42no—
276C4⋊Dic3—42no—
277C4⋊Dic3—42no—
278C4⋊Dic3—42no—
279C4⋊Dic3—81no—
280C4⋊Dic3C2×D412yes—
281C4⋊Dic3C2×D412yes—
282C4×Dic3—42no—
283C4×Dic3—42no—
284C4×Dic3—81no—
285C22×D4D1211yescharacteristic
286C23×C4—61no—
287C23×C4—61no—
288C23×C4—61no—
289C23×C4C22×D311yescharacteristic
290C23×C4C22×D311yescharacteristic
291C2×M16—22no—
292C2×M16—22no—
293C2×M16C2×Dic314yescomplemented
294C22×C8—22no—
295C22×C8—22no—
296C22×C8C2×Dic314yescomplemented
297C22×C8C22×D311yescharacteristic
298C22×C8C22×D311yescharacteristic
299C22×C8C22×D311yescharacteristic
300C22×C8C22×D311yescharacteristic
301C4×D4—124no—
302C4×D4Dic614yes—
303C4×D4C2×Dic314yes—
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—31no—
312C2×C4⋊C4—31no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—62no—
315C2×C4⋊C4—62no—
316C2×C4⋊C4—62no—
317C2×C4⋊C4—61no—
318C2×C4⋊C4—61no—
319C2×C4⋊C4—61no—
320C2×C4⋊C4—61no—
321C2×C4⋊C4—61no—
322C2×C4⋊C4—121no—
323C2×C4⋊C4—121no—
324C2×C4⋊C4—121no—
325C2×C4⋊C4D1211yescharacteristic
326C2×C22⋊C4—61no—
327C2×C22⋊C4—61no—
328C2×C22⋊C4—61no—
329C2×C22⋊C4—61no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4D1211yescharacteristic
332C2×C22⋊C4D1211yescharacteristic
333C2×C42—61no—
334C2×C42—61no—
335C2×C42—61no—
336C2×C42C22×D311yescharacteristic
337#107—34no—
338#107—62no—
339#107—62no—
340#107—62no—
341#107—62no—
342#107—121no—
343#106—62no—
344#106—62no—
345#106—62no—
346#106—121no—
347C4⋊C8C2×Dic314yescomplemented
348C22⋊C8C2×Dic314yescomplemented
349C22⋊C8C2×Dic314yescomplemented
350#97C2×Dic314yescomplemented
351#95—61no—
352#95—61no—
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×C3—21no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—21no—
368C23×C3—21no—
369C23×C3C2×C4⋊C412yes—
370C23×C3C2×C4⋊C412yes—
371C23×C3AGL(1,ℤ/8)12yes—
372C23×C3#13712yes—
373C23×C3C22×D411yescharacteristic
374C3×D4—28no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4C2×C4⋊C412yes—
392C2×C3×C4C2×C4⋊C412yes—
393C2×C3×C4C2×C4⋊C412yes—
394C2×C3×C4C2×C4⋊C412yes—
395C2×C3×C4C23×C411yescharacteristic
396C2×C3×C4C22×D411yescharacteristic
397C2×C3×C4C22×Q811yescharacteristic
398C2×C3×C4C2×#4111yescharacteristic
399C2×C3×C4H(5,𝔽2)11yescharacteristic
400C2×C3×C42−1+411yescharacteristic
401C2×Dic3—22no—
402C2×Dic3—22no—
403C2×Dic3—41no—
404C2×Dic3—41no—
405C2×Dic3—41no—
406C2×Dic3—41no—
407C2×Dic3—41no—
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—41no—
419C2×Dic3—41no—
420C2×Dic3—41no—
421C2×Dic3—41no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—84no—
426C2×Dic3—84no—
427C2×Dic3—84no—
428C3×C8—22no—
429C3×C8—22no—
430C3×C8—22no—
431C3×C8C4×D414yescomplemented
432C24C2×D1211yescharacteristic
433C24C2×D1211yescharacteristic
434C2×D4—22no—
435C2×D4—22no—
436C2×D4C4⋊Dic314yes—
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—61no—
446C22×C4—61no—
447C22×C4—61no—
448C22×C4—61no—
449C22×C4—61no—
450C22×C4—61no—
451C22×C4—61no—
452C22×C4—61no—
453C22×C4—122no—
454C22×C4—122no—
455C22×C4—122no—
456C22×C4—122no—
457C22×C4—122no—
458C22×C4—122no—
459C22×C4—241no—
460C22×C4—241no—
461C22×C4—241no—
462C22×C4C2×Dic612yes—
463C22×C4C2×Dic612yes—
464C22×C4C2×D1211yescharacteristic
465C22×C4C2×D1211yescharacteristic
466C22×C4C2×D1211yescharacteristic
467C22×C4C2×D1211yescharacteristic
468C22×C4C22×Dic312yes—
469C22×C4C22×Dic312yes—
470C22×C4C23×D311yescharacteristic
471M16—28no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—28no—
479C2×C8D3×D412yes—
480C2×C8#23712yes—
481C2×C8C22×Dic312yes—
482C2×C8C22×Dic312yes—
483C2×C8C22×Dic312yes—
484C2×C8C22×Dic312yes—
485C4⋊C4—32no—
486C4⋊C4—32no—
487C4⋊C4—61no—
488C4⋊C4—61no—
489C4⋊C4—61no—
490C4⋊C4—61no—
491C4⋊C4—61no—
492C4⋊C4—61no—
493C4⋊C4—61no—
494C4⋊C4—61no—
495C4⋊C4—61no—
496C4⋊C4—61no—
497C4⋊C4—61no—
498C4⋊C4—61no—
499C4⋊C4—61no—
500C4⋊C4—61no—
501C4⋊C4—122no—
502C4⋊C4—122no—
503C4⋊C4—122no—
504C4⋊C4—122no—
505C4⋊C4—241no—
506C4⋊C4C4⋊Dic314yes—
507C22⋊C4—122no—
508C22⋊C4—122no—
509C22⋊C4—122no—
510C22⋊C4—122no—
511C22⋊C4—241no—
512C22⋊C4C4⋊Dic314yes—
513C22⋊C4C4⋊Dic314yes—
514C42—122no—
515C42—122no—
516C42—241no—
517C42C2×Dic612yes—
518C42C22×Dic312yes—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—41no—
529C22×C3—41no—
530C22×C3—41no—
531C22×C3—41no—
532C22×C3#42814yescomplemented
533C22×C3C22×C4⋊C411yescharacteristic
534C22×C3D4211yescharacteristic
535C22×C3#54711yescharacteristic
536C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
537C22×C3C2×#13711yescharacteristic
538C22×C3#57611yescharacteristic
539C22×C3#57811yescharacteristic
540C3×C4—22no—
541C3×C4—22no—
542C3×C4—22no—
543C3×C4—22no—
544C3×C4C2×C4×D411yescharacteristic
545C3×C4#52011yescharacteristic
546C3×C4D4×Q811yescharacteristic
547C3×C4#55411yescharacteristic
548Dic3—42no—
549Dic3—42no—
550Dic3—81no—
551Dic3—81no—
552Dic3—81no—
553Dic3—81no—
554Dic3—81no—
555Dic3—81no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23#90812yes—
567C23#90912yes—
568C23C2×C4⋊Dic312yes—
569C23C2×C4⋊Dic312yes—
570C23C22×D1211yescharacteristic
571D4—28no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—62no—
589C2×C4—62no—
590C2×C4—121no—
591C2×C4—121no—
592C2×C4—121no—
593C2×C4—121no—
594C2×C4—121no—
595C2×C4—121no—
596C2×C4—121no—
597C2×C4—121no—
598C2×C4—121no—
599C2×C4—121no—
600C2×C4—121no—
601C2×C4—121no—
602C2×C4—121no—
603C2×C4—121no—
604C2×C4—121no—
605C2×C4—121no—
606C2×C4—121no—
607C2×C4—121no—
608C2×C4—121no—
609C2×C4—121no—
610C2×C4—121no—
611C2×C4—121no—
612C2×C4—244no—
613C2×C4—244no—
614C2×C4—244no—
615C2×C4C2×C4⋊Dic312yes—
616C2×C4C2×C4⋊Dic312yes—
617C2×C4C2×C4⋊Dic312yes—
618C2×C4C2×C4⋊Dic312yes—
619C2×C4C22×Dic611yescharacteristic
620C2×C4C2×D3×D411yescharacteristic
621C2×C4C2×#23711yescharacteristic
622C2×C4#100911yescharacteristic
623C2×C4#101011yescharacteristic
624C2×C4C23×Dic311yescharacteristic
625C8—22no—
626C8—22no—
627C8—22no—
628C8D4×Dic314yescomplemented
629C2×C3—24no—
630C2×C3—42no—
631C2×C3D4×C4⋊C411yescharacteristic
632C2×C3C2×#42811yescharacteristic
633C2×C3#291311yescharacteristic
634C2×C3#326411yescharacteristic
635C2×C3#327011yescharacteristic
636C2×C3#334311yescharacteristic
637C2×C3#334611yescharacteristic
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22#512114yescomplemented
652C22D4×D1211yescharacteristic
653C22#555511yescharacteristic
654C22C2×#90811yescharacteristic
655C22C2×#90911yescharacteristic
656C22#575211yescharacteristic
657C22#575311yescharacteristic
658C22C22×C4⋊Dic311yescharacteristic
659C4—22no—
660C4—22no—
661C4—22no—
662C4—22no—
663C4—122no—
664C4—122no—
665C4—241no—
666C4—241no—
667C4—241no—
668C4—241no—
669C4—241no—
670C4—241no—
671C4D4×Dic611yescharacteristic
672C4#554311yescharacteristic
673C4C2×D4×Dic311yescharacteristic
674C4#582711yescharacteristic
675C3#2266111yescharacteristic, complemented, Sylow
676C2—24no—
677C2—42no—
678C2#7946911yescharacteristic
679C2#7947211yescharacteristic
680C2#7949311yescharacteristic
681C2#7950711yescharacteristic
682C2D4×C4⋊Dic311yescharacteristic
683C2C2×#512111yescharacteristic
684C2#8378511yescharacteristic
subgroupG/H
centerC23C22×D12
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC2×C3×#435C2
socleC23×C3C22×D4
prime radicalC22×C3×D4D4
cosocleC22×C3×C4C24
hypercenterC2×#435D3
hypocenterC3#22661
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
2. C2×#5121C2semidirect
3. C22×#818C2semidirect
6. #71988C2semidirect
7. #71970C2semidirect
8. #70455C2semidirect
9. #70453C2semidirect
10. #69929C2semidirect
11. #69928C2semidirect
12. #69927C2semidirect
13. #69927C2semidirect
14. #69816C2semidirect
15. #69814C2semidirect
25. C3×#435C4semidirect
86. C2×C3×M16C2×C4semidirect
89. C22×C3×C8C2×C4semidirect
130. C3×C4⋊C8C2×C4semidirect
131. C3×C22⋊C8C2×C4semidirect
132. C3×C22⋊C8C2×C4semidirect
133. C3×#97C2×C4semidirect
147. #818D4semidirect
160. #435Dic3semidirect
293. C2×M16C2×Dic3semidirect
296. C22×C8C2×Dic3semidirect
347. C4⋊C8C2×Dic3semidirect
348. C22⋊C8C2×Dic3semidirect
349. C22⋊C8C2×Dic3semidirect
350. #97C2×Dic3semidirect
431. C3×C8C4×D4semidirect
532. C22×C3#428semidirect
628. C8D4×Dic3semidirect
651. C22#5121semidirect
675. C3#22661semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#4352
C2×#51212
C22×#8182
#823352
D4×C4⋊Dic32
#719882
#719702
#704552
#704532
#699292
#699282
#699272
#698162
#698142
#226613