Finite Group Databasebeta

← #10812439

Subgroups — #10812439

Order 768.

1150 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#82240C211yesmaximal, characteristic, complemented
2C2×#5001C211yesmaximal, characteristic
3#74007C211yesmaximal, characteristic
4C3×#1825C211yesmaximal, characteristic, complemented
5#69959C211yesmaximal, characteristic
6#69949C211yesmaximal, characteristic, complemented
7#69513C211yesmaximal, characteristic, complemented
8#68895C211yesmaximal, characteristic, complemented
9#68894C211yesmaximal, characteristic, complemented
10#68857C211yesmaximal, characteristic, complemented
11#68853C211yesmaximal, characteristic, complemented
12#68792C211yesmaximal, characteristic, complemented
13#68791C211yesmaximal, characteristic, complemented
14#68782C211yesmaximal, characteristic, complemented
15#68780C211yesmaximal, characteristic, complemented
16#22580—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19C22×#208C2211yescharacteristic
20C2×#893C2211yescharacteristic
21C2×#893C2211yescharacteristic
22C2×D3×C22⋊C4—21no—
23C2×C3×C22⋊C8C2211yescharacteristic
24C3×#380C2211yescharacteristic
25#5212C2211yescharacteristic
26C4×#217C2211yescharacteristic
27C2×#821C2211yescharacteristic
28C2×#821C2211yescharacteristic
29C2×#821C2211yescharacteristic
30C2×#821C2211yescharacteristic
31C2×#815C2211yescharacteristic, complemented
32C2×C8×Dic3C2211yescharacteristic, complemented
33#5001C418yescomplemented
34#4988C2211yescharacteristic
35#4988C2211yescharacteristic
36#4984C2211yescharacteristic, complemented
37#4984C2211yescharacteristic, complemented
38Dic3×C4⋊C4C2211yescharacteristic, complemented
39Dic3×C4⋊C4C2211yescharacteristic, complemented
40C2×#809C2211yescharacteristic
41C2×#809C2211yescharacteristic
42C2×#809C2211yescharacteristic
43C2×#809C2211yescharacteristic
44C2×#808C2211yescharacteristic, complemented
45C2×#807C2211yescharacteristic, complemented
46#4955—21no—
47#4951—21no—
48#4951—21no—
49#4937—21no—
50C4×C4⋊Dic3—21no—
51#4665—21no—
52#4665—21no—
53C3×#340C2211yescharacteristic, complemented
54C3×#340C2211yescharacteristic, complemented
55C3×#340C2211yescharacteristic, complemented
56C3×#340C2211yescharacteristic, complemented
57#4550C2211yescharacteristic, complemented
58#4550C2211yescharacteristic, complemented
59#4529C2211yescharacteristic, complemented
60#4529C2211yescharacteristic, complemented
61C2×#418—31no—
62#2347—31no—
63D4×C22⋊C4—31no—
64#1936—31no—
65#1934—31no—
66#1926—31no—
67#1925—31no—
68#1864—31no—
69#1862—31no—
70#1825D311yescharacteristic, complemented
71#1809—31no—
72#1786—31no—
73#1762—31no—
74C4×#102—31no—
75#1753—31no—
76C24×D3—21no—
77C23×C3×C4C2311yescharacteristic
78C22×D12—22no—
79C22×D12—22no—
80C22×D12—21no—
81C22×D12—22no—
82C22×D12—41no—
83C22×D12—41no—
84C22×D12C2×C414yes—
85C22×D12C2311yescharacteristic
86C22×D12C2311yescharacteristic
87C22×C4×D3—21no—
88C22×C4×D3—21no—
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×#117—22no—
92C3×#117C2×C414yescomplemented
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C42—21no—
100C2×#217—21no—
101C2×#217D411yescharacteristic
102C2×#217D411yescharacteristic
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×C4⋊Dic3—21no—
110C2×C4⋊Dic3—21no—
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×C4×Dic3—21no—
114C2×C4×Dic3—21no—
115C2×C4×Dic3C2311yescharacteristic
116C2×C4×Dic3C2311yescharacteristic
117C2×#208—41no—
118C2×#208—41no—
119C2×#208C2×C414yescomplemented
120C22×C3⋊C8C2311yescharacteristic
121C22×C3⋊C8C2311yescharacteristic
122#893—22no—
123#893—22no—
124#893—41no—
125#893—41no—
126D3×C22⋊C4—44no—
127C3×C22⋊C8—22no—
128C3×#95—21no—
129C3⋊#95—21no—
130C3⋊#95—21no—
131C3⋊#95—21no—
132C3⋊#95—21no—
133C3⋊#95—21no—
134C3⋊#95D411yescharacteristic
135C3⋊#95D411yescharacteristic
136#821—22no—
137#821—22no—
138#821—41no—
139#821—41no—
140#815—41no—
141C8×Dic3—41no—
142#809C2×C414yes—
143#809C2×C414yes—
144#809C2×C414yescomplemented
145#809C2×C414yescomplemented
146#808—41no—
147#807—41no—
148C23×D4—31no—
149C22×M16—31no—
150C2×C4×D4—31no—
151C2×C4×D4—31no—
152C2×#117C2×D311yescharacteristic
153C22×C22⋊C4—61no—
154C2×#107—31no—
155C2×#106—31no—
156#418—38no—
157C2×#102—31no—
158C2×#102—31no—
159C2×#102—31no—
160C2×#102—31no—
161C2×#102—31no—
162C2×#102—31no—
163C2×#102—31no—
164C2×#102—31no—
165C2×C22⋊C8C2×D311yescharacteristic
166C2×#97—31no—
167C2×C4×C8—31no—
168#390—31no—
169#390—31no—
170#389—31no—
171#389—31no—
172#388—61no—
173#388—61no—
174#386—61no—
175#386—61no—
176#383—61no—
177#380—31no—
178#380C2×D311yescharacteristic
179#379—61no—
180C4×C4⋊C4—31no—
181C4×C4⋊C4—31no—
182C4×C4⋊C4—61no—
183C4×C22⋊C4—31no—
184#340—31no—
185#340—31no—
186#340C2×D311yescharacteristic, complemented
187#340C2×D311yescharacteristic, complemented
188#340C2×D311yescharacteristic, complemented
189#340C2×D311yescharacteristic, complemented
190#336—31no—
191#336—31no—
192C24×C3C2×D411yescharacteristic
193C23×D3—21no—
194C23×D3—21no—
195C23×D3—24no—
196C23×D3—42no—
197C23×D3—42no—
198C23×D3—42no—
199C23×D3—42no—
200C23×D3—81no—
201C23×D3—81no—
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×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4C22×C412yes—
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4#4112yes—
213C22×C3×C4C2411yescharacteristic
214C22×Dic3—21no—
215C22×Dic3—21no—
216C22×Dic3C2×D411yescharacteristic
217C22×Dic3C2×D411yescharacteristic
218C22×Dic3C2×D411yescharacteristic
219C22×Dic3C2×D411yescharacteristic
220C2×D12—21no—
221C2×D12—21no—
222C2×D12—21no—
223C2×D12—21no—
224C2×D12—21no—
225C2×D12—21no—
226C2×D12—21no—
227C2×D12—28no—
228C2×D12—24no—
229C2×D12—21no—
230C2×D12—44no—
231C2×D12—44no—
232C2×D12—44no—
233C2×D12—42no—
234C2×D12—42no—
235C2×D12C22×C412yes—
236C2×D12C22×C412yes—
237C2×D12#4112yes—
238C2×D12#4112yes—
239C2×C4×D3—42no—
240C2×C4×D3—42no—
241C2×C4×D3—42no—
242C2×C4×D3—42no—
243C2×C4×D3—81no—
244C2×C4×D3—81no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C3×C4⋊C4—21no—
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×C4⋊C4C22×C412yes—
259C3×C22⋊C4—24no—
260C3×C22⋊C4—42no—
261C3×C42—24no—
262#217—22no—
263#217—41no—
264#217—81no—
265(C2×D3)⋊C4—42no—
266(C2×D3)⋊C4—42no—
267(C2×D3)⋊C4—42no—
268(C2×D3)⋊C4—42no—
269(C2×D3)⋊C4—81no—
270(C2×D3)⋊C4—81no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—42no—
276C4⋊Dic3—42no—
277C4×Dic3—21no—
278C4×Dic3—21no—
279C4×Dic3—21no—
280C4×Dic3—21no—
281C4×Dic3—81no—
282C4×Dic3—81no—
283#208—44no—
284C2×C3⋊C8—21no—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8C22×C412yes—
289C2×C3⋊C8C22×C412yes—
290C25—61no—
291C22×D4—34no—
292C22×D4—31no—
293C22×D4—31no—
294C22×D4—62no—
295C22×D4—62no—
296C22×D4—61no—
297C22×D4—62no—
298C22×D4—121no—
299C22×D4—121no—
300C23×C4—61no—
301C23×C4—61no—
302C23×C4C22×D311yescharacteristic
303C2×M16—34no—
304C2×M16—121no—
305C2×M16—121no—
306C22×C8—31no—
307C22×C8—31no—
308C22×C8C22×D311yescharacteristic
309C22×C8C22×D311yescharacteristic
310C4×D4—62no—
311C4×D4—62no—
312C4×D4—121no—
313C4×D4—121no—
314#117—22no—
315#117C4×D314yescomplemented
316C2×C4⋊C4—31no—
317C2×C4⋊C4—31no—
318C2×C4⋊C4—61no—
319C2×C4⋊C4—61no—
320C2×C4⋊C4C22×D311yescharacteristic
321C2×C4⋊C4C22×D311yescharacteristic
322C2×C4⋊C4C22×D311yescharacteristic
323C2×C4⋊C4C22×D311yescharacteristic
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C22⋊C4—31no—
327C2×C22⋊C4—31no—
328C2×C22⋊C4—61no—
329C2×C22⋊C4—61no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C22⋊C4—124no—
336C2×C42—21no—
337C2×C42—31no—
338C2×C42—31no—
339C2×C42—61no—
340C2×C42—61no—
341#107—121no—
342#106—121no—
343#102—34no—
344#102—34no—
345#102—34no—
346#102—34no—
347#102—62no—
348#102—62no—
349#102—121no—
350#102—121no—
351C22⋊C8—22no—
352#97—121no—
353C4×C8—121no—
354#95—21no—
355#95—31no—
356#95—31no—
357#95—61no—
358#95—61no—
359#95—61no—
360#95—61no—
361#95—61no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—21no—
368C23×C3C4×D412yes—
369C23×C3C22×D411yescharacteristic
370C22×D3—22no—
371C22×D3—22no—
372C22×D3—22no—
373C22×D3—22no—
374C22×D3—48no—
375C22×D3—41no—
376C22×D3—41no—
377C22×D3—41no—
378C22×D3—41no—
379C22×D3—48no—
380C22×D3—41no—
381C22×D3—41no—
382C22×D3—41no—
383C22×D3—41no—
384C22×D3—41no—
385C22×D3—41no—
386C22×D3—84no—
387C22×D3—84no—
388C22×D3—84no—
389C22×D3—84no—
390C22×D3—84no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4C4×D412yes—
410C2×C3×C4C23×C411yescharacteristic
411C2×C3×C4C2×#4111yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414C2×C3×C4H(5,𝔽2)11yescharacteristic
415C2×C3×C4H(5,𝔽2)11yescharacteristic
416C2×Dic3—21no—
417C2×Dic3—21no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3AGL(1,ℤ/8)12yes—
434D12—22no—
435D12—22no—
436D12—22no—
437D12—22no—
438D12—22no—
439D12—48no—
440D12—41no—
441D12—41no—
442D12#11714yes—
443C4×D3—84no—
444C4×D3—84no—
445C3×C8—41no—
446C3×C8—41no—
447C3⋊C8—22no—
448C3⋊C8—22no—
449C24—61no—
450C24—61no—
451C24—64no—
452C24—122no—
453C24—122no—
454C24—122no—
455C24—122no—
456C24—241no—
457C24—241no—
458C24D3×D411yescharacteristic
459C2×D4—32no—
460C2×D4—32no—
461C2×D4—32no—
462C2×D4—32no—
463C2×D4—68no—
464C2×D4—64no—
465C2×D4—61no—
466C2×D4—61no—
467C2×D4—61no—
468C2×D4—61no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4—61no—
473C2×D4—124no—
474C2×D4—124no—
475C2×D4—124no—
476C2×D4—122no—
477C2×D4—122no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—31no—
489C22×C4—31no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—122no—
493C22×C4—122no—
494C22×C4—122no—
495C22×C4—122no—
496C22×C4—241no—
497C22×C4—241no—
498C22×C4C2×C4×D312yes—
499C22×C4D3×D411yescharacteristic
500C22×C4#23712yes—
501C22×C4C23×D311yescharacteristic
502M16—124no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—32no—
510C2×C8—32no—
511C2×C8—61no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—61no—
522C4⋊C4—61no—
523C4⋊C4—61no—
524C4⋊C4—61no—
525C4⋊C4—122no—
526C4⋊C4—122no—
527C4⋊C4C2×C4×D312yes—
528C4⋊C4C2×C4×D312yes—
529C22⋊C4—24no—
530C22⋊C4—42no—
531C22⋊C4—62no—
532C22⋊C4—122no—
533C22⋊C4—122no—
534C22⋊C4—122no—
535C22⋊C4—122no—
536C22⋊C4—121no—
537C22⋊C4—241no—
538C22⋊C4—241no—
539C22⋊C4—241no—
540C42—24no—
541C42—61no—
542C42—61no—
543C42—61no—
544C42—61no—
545C42—241no—
546C42—241no—
547C22×C3—22no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—41no—
551C22×C3—41no—
552C22×C3—41no—
553C22×C3—41no—
554C22×C3C2×C4×D411yescharacteristic
555C22×C3#54611yescharacteristic
556C22×C3#54611yescharacteristic
557C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
558C22×C3#57511yescharacteristic
559C22×C3#57611yescharacteristic
560C22×C3#57711yescharacteristic
561C2×D3—24no—
562C2×D3—42no—
563C2×D3—42no—
564C2×D3—42no—
565C2×D3—42no—
566C2×D3—42no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—42no—
570C2×D3—42no—
571C2×D3—816no—
572C2×D3—81no—
573C2×D3—81no—
574C2×D3—81no—
575C2×D3—81no—
576C3×C4—22no—
577C3×C4—42no—
578C3×C4—42no—
579C3×C4—81no—
580C3×C4—81no—
581C3×C4C2×#11711yescharacteristic
582C3×C4#51811yescharacteristic
583C3×C4#55111yescharacteristic
584C3×C4#55111yescharacteristic
585Dic3—22no—
586Dic3—41no—
587Dic3—41no—
588Dic3—41no—
589Dic3—81no—
590Dic3—81no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—62no—
598C23—62no—
599C23—62no—
600C23—62no—
601C23—128no—
602C23—128no—
603C23—121no—
604C23—121no—
605C23—121no—
606C23—121no—
607C23—121no—
608C23—121no—
609C23—121no—
610C23—121no—
611C23—121no—
612C23—121no—
613C23—244no—
614C23—244no—
615C23—244no—
616C23—244no—
617C23—244no—
618C23#67⋊C412yes—
619C23C2×D3×D411yescharacteristic
620D4—34no—
621D4—62no—
622D4—62no—
623D4—62no—
624D4—62no—
625D4—62no—
626D4—128no—
627D4—121no—
628D4—121no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—32no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—244no—
666C2×C4—244no—
667C2×C4#67⋊C412yes—
668C2×C4C22×C4×D311yescharacteristic
669C2×C4C2×#23711yescharacteristic
670C2×C4D3×#4111yescharacteristic
671C2×C4D3×#4111yescharacteristic
672C2×C4#100911yescharacteristic
673C2×C4#100911yescharacteristic
674C8—41no—
675C8—41no—
676C8—62no—
677C8—62no—
678C2×C3—42no—
679C2×C3#234211yescharacteristic
680C2×C3C4×AGL(1,ℤ/8)11yescharacteristic
681C2×C3#294611yescharacteristic
682C2×C3#331111yescharacteristic
683C2×C3#331811yescharacteristic
684C2×C3#332211yescharacteristic
685C2×C3#332411yescharacteristic
686D3—44no—
687D3—82no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—64no—
696C22—122no—
697C22—122no—
698C22—122no—
699C22—122no—
700C22—122no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—122no—
705C22—2416no—
706C22—241no—
707C22—241no—
708C22—241no—
709C22—241no—
710C22C2×#67⋊C411yescharacteristic
711C22#565411yescharacteristic
712C22#565411yescharacteristic
713C22#576911yescharacteristic
714C22#577011yescharacteristic
715C22D3×AGL(1,ℤ/8)11yescharacteristic
716C22#577711yescharacteristic
717C4—22no—
718C4—42no—
719C4—42no—
720C4—62no—
721C4—81no—
722C4—81no—
723C4—121no—
724C4—121no—
725C4—121no—
726C4—241no—
727C4—241no—
728C4D3×#11711yescharacteristic
729C4#552111yescharacteristic
730C4#565811yescharacteristic
731C4#565811yescharacteristic
732C3#2258011yescharacteristic, complemented, Sylow
733C2—42no—
734C2—124no—
735C2—242no—
736C2#7412211yescharacteristic
737C2#7882011yescharacteristic
738C2#7886611yescharacteristic
739C2#8138511yescharacteristic
740C2#8140311yescharacteristic
741C2#8152611yescharacteristic
742C2#8154811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1825C2
socleC23×C3C22×D4
prime radicalC23×D12C22
cosocleC22×C3×C4C24
hypercenter#1825D3
hypocenterC3#22580
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1825

Complements

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

NH ≅ G/Ntype
1. #82240C2semidirect
4. C3×#1825C2semidirect
6. #69949C2semidirect
7. #69513C2semidirect
8. #68895C2semidirect
9. #68894C2semidirect
10. #68857C2semidirect
11. #68853C2semidirect
12. #68792C2semidirect
13. #68791C2semidirect
14. #68782C2semidirect
15. #68780C2semidirect
31. C2×#815C22semidirect
32. C2×C8×Dic3C22semidirect
33. #5001C4semidirect
36. #4984C22semidirect
37. #4984C22semidirect
38. Dic3×C4⋊C4C22semidirect
39. Dic3×C4⋊C4C22semidirect
44. C2×#808C22semidirect
45. C2×#807C22semidirect
53. C3×#340C22semidirect
54. C3×#340C22semidirect
55. C3×#340C22semidirect
56. C3×#340C22semidirect
57. #4550C22semidirect
58. #4550C22semidirect
59. #4529C22semidirect
60. #4529C22semidirect
70. #1825D3semidirect
92. C3×#117C2×C4semidirect
119. C2×#208C2×C4semidirect
144. #809C2×C4semidirect
145. #809C2×C4semidirect
186. #340C2×D3semidirect
187. #340C2×D3semidirect
188. #340C2×D3semidirect
189. #340C2×D3semidirect
315. #117C4×D3semidirect
732. C3#22580semidirect

Maximal subgroups

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

subgroupindex
#822402
C2×#50012
#740072
C3×#18252
#699592
#699492
#695132
#688952
#688942
#688572
#688532
#687922
#687912
#687822
#687802
#225803