Finite Group Databasebeta

← #11805531

Subgroups — #11805531

Order 1152.

1505 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×D12C211yesmaximal, characteristic
2C2×#63898C211yesmaximal, characteristic
3C2×#63898C211yesmaximal, characteristic
4C4×#3750C211yesmaximal, characteristic, complemented
5C3×#4928C211yesmaximal, characteristic, complemented
6#10591372C212yesmaximal, complemented
7#10591366C212yesmaximal, complemented
8D3×C3⋊#95C212yesmaximal, complemented
9#10591357C211yesmaximal, characteristic, complemented
10#10591278C212yesmaximal, complemented
11#10591230C211yesmaximal, characteristic, complemented
12#82334—31nomaximal
13#76203—31nomaximal
14C22×C3×D12C2211yescharacteristic
15C22×C3×C4×D3C2212yes—
16C22×D3×Dic3C2212yes—
17C22×D3×Dic3C2212yes—
18C2×C32×C42C2211yescharacteristic
19C2×#3750C2211yescharacteristic
20C2×#3750C2211yescharacteristic
21C2×C4×C3⋊Dic3C2211yescharacteristic
22C2×C4×C3⋊Dic3C2211yescharacteristic
23C2×C3×(C2×D3)⋊C4C2212yes—
24C2×C3×C4⋊Dic3C2211yescharacteristic
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×Dic3⋊C4C2212yes—
28C3×C4×D12—24no—
29C2×Dic3⋊Dic3C2212yes—
30C2×(C2×D3)⋊Dic3C2212yes—
31C2×(C2×D3)⋊Dic3C2212yes—
32#63898—24no—
33#63898C418yescomplemented
34#63658C2211yescharacteristic
35#63658C2211yescharacteristic
36C3×C3⋊#95C2212yes—
37#63579C2212yes—
38#63579C2212yes—
39#63579C2212yes—
40C2×C3×C4×D4—31no—
41C2×D4×Dic3—31no—
42C2×D4×Dic3—31no—
43C2×#893—31no—
44C2×#893—31no—
45C2×C4×D12D311yescharacteristic
46C3×#389—31no—
47#5210—32no—
48C2×C3⋊#95—32no—
49#4989—32no—
50#4987—32no—
51#4984—31no—
52#4977—31no—
53#4977—31no—
54#4972—31no—
55#4946—32no—
56#4942—32no—
57C4×Dic3⋊C4—31no—
58C4×Dic3⋊C4—31no—
59C4×Dic3⋊C4—61no—
60#4928D311yescharacteristic, complemented
61#4668—32no—
62D3×#95—32no—
63C23×C3×D3C2312yes—
64C22×C32×C4C2311yescharacteristic
65C22×C32×C4C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C3⋊Dic3C2311yescharacteristic
68C22×C3⋊Dic3C2311yescharacteristic
69C22×C3⋊Dic3C2311yescharacteristic
70C22×C3⋊Dic3C2311yescharacteristic
71C22×C3×Dic3C2312yes—
72C22×C3×Dic3C2312yes—
73C22×C3×Dic3C2312yes—
74C2×C3×D12C2×C414yes—
75C2×C3×D12D414yes—
76C2×C3×D12Q814yes—
77C2×C3×C4×D3—24no—
78C2×C3×C4×D3—24no—
79C2×C3×C4×D3—42no—
80C2×D3×Dic3—24no—
81C2×D3×Dic3—24no—
82C2×D3×Dic3—42no—
83C2×D3×Dic3—42no—
84C2×D3×Dic3—42no—
85C2×D3×Dic3C2×C418yescomplemented
86C32×C42—22no—
87#3750—22no—
88#3750—22no—
89C4×C3⋊Dic3—22no—
90C4×C3⋊Dic3C2×C414yescomplemented
91C3×(C2×D3)⋊C4—24no—
92C3×C4⋊Dic3—22no—
93C3×C4⋊Dic3—22no—
94C3×C4⋊Dic3C2×C414yescomplemented
95C3×Dic3⋊C4—42no—
96Dic3⋊Dic3—42no—
97(C2×D3)⋊Dic3—24no—
98(C2×D3)⋊Dic3C2×C418yescomplemented
99#2349—91noSylow
100C22×C3×D4—31no—
101C23×C3×C4—32no—
102C23×Dic3—32no—
103C23×Dic3—32no—
104C22×D12C2×D311yescharacteristic
105C22×C4×D3—32no—
106C22×C4×D3—32no—
107C22×C4×D3C2×D312yes—
108C3×C4×D4—64no—
109C2×C3×C4⋊C4—31no—
110C2×C3×C4⋊C4—31no—
111C2×C3×C4⋊C4—31no—
112C2×C3×C4⋊C4—32no—
113C2×C3×C22⋊C4—32no—
114C2×C3×C42—21no—
115C2×C3×C42C2×D311yescharacteristic
116C2×C3×C42C2×D311yescharacteristic
117C2×#217—32no—
118C2×#217—32no—
119D4×Dic3—38no—
120D4×Dic3—64no—
121C2×(C2×D3)⋊C4—32no—
122C2×(C2×D3)⋊C4—32no—
123C2×(C2×D3)⋊C4C2×D312yes—
124C2×C4⋊Dic3—32no—
125C2×C4⋊Dic3C2×D311yescharacteristic
126C2×C4⋊Dic3C2×D311yescharacteristic
127C2×C4⋊Dic3C2×D311yescharacteristic
128C2×Dic3⋊C4—31no—
129C2×Dic3⋊C4—31no—
130C2×Dic3⋊C4—31no—
131C2×Dic3⋊C4—31no—
132C2×Dic3⋊C4—32no—
133C2×Dic3⋊C4—61no—
134C2×Dic3⋊C4—61no—
135C2×Dic3⋊C4C2×D312yes—
136C2×C4×Dic3—31no—
137C2×C4×Dic3—31no—
138C2×C4×Dic3—31no—
139C2×C4×Dic3—31no—
140C2×C4×Dic3—61no—
141C2×C4×Dic3—61no—
142#893—38no—
143#893—64no—
144C4×D12—24no—
145C3×#95—32no—
146C3⋊#95—31no—
147C3⋊#95—31no—
148C3⋊#95—31no—
149C3⋊#95—31no—
150C3⋊#95—32no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95—32no—
154C3⋊#95—32no—
155C3⋊#95—32no—
156C3⋊#95—61no—
157C3⋊#95—61no—
158C3⋊#95C2×D312yes—
159C23×C32C2411yescharacteristic
160C22×C3×D3—22no—
161C22×C3×D3—22no—
162C22×C3×D3—22no—
163C22×C3×D3—22no—
164C22×C3×D3C22×C414yes—
165C22×C3×D3C2×D414yes—
166C22×C3×D3C2×Q814yes—
167C2×C32×C4—21no—
168C2×C32×C4—21no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4C22×C412yes—
173C2×C32×C4C2×D412yes—
174C2×C32×C4C2×Q812yes—
175C2×C32×C4#4112yes—
176C2×C3⋊Dic3—21no—
177C2×C3⋊Dic3—21no—
178C2×C3⋊Dic3—21no—
179C2×C3⋊Dic3—21no—
180C2×C3⋊Dic3—21no—
181C2×C3⋊Dic3—21no—
182C2×C3⋊Dic3—21no—
183C2×C3⋊Dic3—21no—
184C2×C3⋊Dic3—21no—
185C2×C3⋊Dic3C22×C412yes—
186C2×C3⋊Dic3C22×C412yes—
187C2×C3⋊Dic3#4112yes—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3C22×C414yes—
197C3×D12C4⋊C4116yescomplemented
198C3×C4×D3—48no—
199D3×Dic3—48no—
200D3×Dic3—48no—
201C2×C4×D4—31no—
202C2×C4×D4—91no—
203C2×C4×D4—91no—
204#389—31no—
205#389—91no—
206#385—92no—
207#385—92no—
208#382—91no—
209#380—92no—
210C4×C4⋊C4—91no—
211C2×#95—92no—
212C24×C3—32no—
213C23×D3C22×D312yes—
214C2×C3×D4—34no—
215C2×C3×D4—34no—
216C2×C3×D4—34no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—32no—
221C22×C3×C4—32no—
222C22×C3×C4—32no—
223C22×C3×C4—64no—
224C22×C3×C4—64no—
225C22×C3×C4—122no—
226C22×C3×C4C22×D311yescharacteristic
227C22×C3×C4C22×D311yescharacteristic
228C22×C3×C4C22×D311yescharacteristic
229C22×C3×C4C22×D311yescharacteristic
230C22×C3×C4C22×D311yescharacteristic
231C22×C3×C4C22×D311yescharacteristic
232C22×Dic3—31no—
233C22×Dic3—31no—
234C22×Dic3—31no—
235C22×Dic3—31no—
236C22×Dic3—31no—
237C22×Dic3—31no—
238C22×Dic3—38no—
239C22×Dic3—31no—
240C22×Dic3—31no—
241C22×Dic3—61no—
242C22×Dic3—61no—
243C22×Dic3—61no—
244C22×Dic3—61no—
245C22×Dic3—64no—
246C22×Dic3—64no—
247C22×Dic3—122no—
248C22×Dic3—122no—
249C22×Dic3—122no—
250C22×Dic3C22×D312yes—
251C22×Dic3C22×D312yes—
252C22×Dic3C22×D312yes—
253C2×D12Dic614yes—
254C2×D12C4×D314yes—
255C2×D12#6714yes—
256C2×C4×D3—24no—
257C2×C4×D3—24no—
258C2×C4×D3—38no—
259C2×C4×D3—42no—
260C2×C4×D3—64no—
261C2×C4×D3—64no—
262C2×C4×D3—122no—
263C2×C4×D3—122no—
264C2×C4×D3—122no—
265C3×C4⋊C4—34no—
266C3×C4⋊C4—62no—
267C3×C4⋊C4—62no—
268C3×C4⋊C4—122no—
269C3×C22⋊C4—64no—
270C3×C42—22no—
271C3×C42—22no—
272C3×C42—42no—
273#217—38no—
274#217—64no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—38no—
277(C2×D3)⋊C4—64no—
278C4⋊Dic3—22no—
279C4⋊Dic3—22no—
280C4⋊Dic3—122no—
281C4⋊Dic3C4×D314yescomplemented
282Dic3⋊C4—42no—
283Dic3⋊C4—62no—
284Dic3⋊C4—62no—
285Dic3⋊C4—64no—
286Dic3⋊C4—64no—
287Dic3⋊C4—62no—
288Dic3⋊C4—62no—
289Dic3⋊C4—122no—
290C4×Dic3—34no—
291C4×Dic3—34no—
292C4×Dic3—64no—
293C4×Dic3—62no—
294C4×Dic3—62no—
295C4×Dic3—122no—
296C22×C32C23×C411yescharacteristic
297C22×C32C22×D411yescharacteristic
298C22×C32C22×Q811yescharacteristic
299C22×C32C2×#4111yescharacteristic
300C22×C32C2×#4111yescharacteristic
301C22×C32H(5,𝔽2)11yescharacteristic
302C22×C32H(5,𝔽2)11yescharacteristic
303C2×C3×D3—24no—
304C2×C3×D3—24no—
305C2×C3×D3—24no—
306C2×C3×D3—24no—
307C2×C3×D3—24no—
308C2×C3×D3—24no—
309C2×C3×D3C2×C4⋊C418yes—
310C32×C4—22no—
311C32×C4—41no—
312C32×C4C2×C4⋊C414yes—
313C3⋊Dic3—22no—
314C3⋊Dic3—22no—
315C3⋊Dic3—22no—
316C3⋊Dic3—41no—
317C3×Dic3—24no—
318C3×Dic3—42no—
319C3×Dic3—42no—
320C22×D4—31no—
321C23×C4—32no—
322C23×C4—92no—
323C23×C4—92no—
324C4×D4—64no—
325C4×D4—98no—
326C4×D4—184no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—32no—
331C2×C4⋊C4—91no—
332C2×C4⋊C4—91no—
333C2×C4⋊C4—92no—
334C2×C22⋊C4—32no—
335C2×C22⋊C4—92no—
336C2×C22⋊C4—92no—
337C2×C42—91no—
338C2×C42—91no—
339C2×C42D3211yescharacteristic
340#95—32no—
341#95—92no—
342#95—92no—
343#95—92no—
344#95—91no—
345#95—91no—
346C23×C3—21no—
347C23×C3—34no—
348C23×C3—34no—
349C23×C3—34no—
350C23×C3—62no—
351C23×C3—62no—
352C23×C3—62no—
353C23×C3—62no—
354C23×C3C23×D311yescharacteristic
355C23×C3C23×D311yescharacteristic
356C22×D3—22no—
357C22×D3—22no—
358C22×D3—22no—
359C22×D3—22no—
360C22×D3C2×Dic614yes—
361C22×D3C2×C4×D314yes—
362C22×D3C2×#6714yes—
363C3×D4—316no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—22no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—34no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—62no—
385C2×C3×C4—62no—
386C2×C3×C4—62no—
387C2×C3×C4—62no—
388C2×C3×C4—62no—
389C2×C3×C4—62no—
390C2×C3×C4—62no—
391C2×C3×C4—62no—
392C2×C3×C4—128no—
393C2×C3×C4C2×Dic612yes—
394C2×C3×C4C2×C4×D312yes—
395C2×C3×C4C2×C4×D312yes—
396C2×C3×C4D3×D412yes—
397C2×C3×C4#23712yes—
398C2×C3×C4D3×Q812yes—
399C2×C3×C4#23912yes—
400C2×C3×C4C2×#6712yes—
401C2×Dic3—22no—
402C2×Dic3—22no—
403C2×Dic3—22no—
404C2×Dic3—22no—
405C2×Dic3—22no—
406C2×Dic3—22no—
407C2×Dic3—22no—
408C2×Dic3—22no—
409C2×Dic3—32no—
410C2×Dic3—32no—
411C2×Dic3—32no—
412C2×Dic3—32no—
413C2×Dic3—32no—
414C2×Dic3—32no—
415C2×Dic3—62no—
416C2×Dic3—62no—
417C2×Dic3—62no—
418C2×Dic3—62no—
419C2×Dic3—62no—
420C2×Dic3—61no—
421C2×Dic3—61no—
422C2×Dic3—61no—
423C2×Dic3—61no—
424C2×Dic3—61no—
425C2×Dic3—61no—
426C2×Dic3—61no—
427C2×Dic3—61no—
428C2×Dic3—61no—
429C2×Dic3—61no—
430C2×Dic3—61no—
431C2×Dic3—61no—
432C2×Dic3—62no—
433C2×Dic3—61no—
434C2×Dic3—61no—
435C2×Dic3—61no—
436C2×Dic3—61no—
437C2×Dic3—61no—
438C2×Dic3—61no—
439C2×Dic3—121no—
440C2×Dic3—121no—
441C2×Dic3—121no—
442C2×Dic3—121no—
443C2×Dic3—121no—
444C2×Dic3—121no—
445C2×Dic3—128no—
446C2×Dic3—128no—
447C2×Dic3C2×C4×D314yes—
448D12Dic3⋊C4116yescomplemented
449C4×D3—48no—
450C4×D3—128no—
451C4×D3—128no—
452C2×C32C22×C4⋊C411yescharacteristic
453C2×C32C4×#4111yescharacteristic
454C2×C32#51811yescharacteristic
455C2×C32#54611yescharacteristic
456C2×C32#54611yescharacteristic
457C2×C32#55411yescharacteristic
458C2×C32#55411yescharacteristic
459C3×D3—28no—
460C24—32no—
461C2×D4—34no—
462C2×D4—34no—
463C2×D4—34no—
464C22×C4—32no—
465C22×C4—32no—
466C22×C4—32no—
467C22×C4—64no—
468C22×C4—64no—
469C22×C4—98no—
470C22×C4—91no—
471C22×C4—91no—
472C22×C4—91no—
473C22×C4—91no—
474C22×C4—122no—
475C22×C4—184no—
476C22×C4—184no—
477C22×C4—362no—
478C22×C4—362no—
479C22×C4—362no—
480C22×C4C2×D3211yescharacteristic
481C22×C4C2×D3211yescharacteristic
482C22×C4C2×D3211yescharacteristic
483C4⋊C4—34no—
484C4⋊C4—62no—
485C4⋊C4—62no—
486C4⋊C4—122no—
487C4⋊C4—182no—
488C4⋊C4—182no—
489C4⋊C4—362no—
490C22⋊C4—64no—
491C22⋊C4—98no—
492C22⋊C4—184no—
493C42—22no—
494C42—94no—
495C42—182no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—21no—
502C22×C3—21no—
503C22×C3—38no—
504C22×C3—64no—
505C22×C3—64no—
506C22×C3—64no—
507C22×C3—64no—
508C22×C3—64no—
509C22×C3—64no—
510C22×C3C22×Dic611yescharacteristic
511C22×C3C22×C4×D311yescharacteristic
512C22×C3C22×C4×D311yescharacteristic
513C22×C3C2×D3×D411yescharacteristic
514C22×C3C2×#23711yescharacteristic
515C22×C3#100411yescharacteristic
516C22×C3#100411yescharacteristic
517C22×C3C2×D3×Q811yescharacteristic
518C22×C3C2×#23911yescharacteristic
519C22×C3D3×#4111yescharacteristic
520C22×C3D3×#4111yescharacteristic
521C22×C3#100911yescharacteristic
522C22×C3#100911yescharacteristic
523C22×C3C22×#6711yescharacteristic
524C2×D3—24no—
525C2×D3—24no—
526C2×D3—24no—
527C2×D3—24no—
528C2×D3—24no—
529C2×D3—24no—
530C2×D3C2×Dic3⋊C418yes—
531C3×C4—22no—
532C3×C4—22no—
533C3×C4—24no—
534C3×C4—42no—
535C3×C4—42no—
536C3×C4—41no—
537C3×C4—41no—
538C3×C4—64no—
539C3×C4—122no—
540C3×C4—122no—
541C3×C4D3×C4⋊C414yes—
542C3×C4C2×Dic3⋊C414yes—
543Dic3—24no—
544Dic3—42no—
545Dic3—42no—
546Dic3—64no—
547Dic3—62no—
548Dic3—62no—
549Dic3—62no—
550Dic3—62no—
551Dic3—62no—
552Dic3—62no—
553Dic3—122no—
554Dic3—122no—
555Dic3—122no—
556Dic3—121no—
557Dic3—121no—
558C32#234911yescharacteristic, complemented, Sylow
559C23—34no—
560C23—34no—
561C23—34no—
562C23—62no—
563C23—62no—
564C23—62no—
565C23—62no—
566C23C22×D3211yescharacteristic
567D4—316no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—34no—
574C2×C4—62no—
575C2×C4—62no—
576C2×C4—62no—
577C2×C4—62no—
578C2×C4—62no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—62no—
582C2×C4—92no—
583C2×C4—92no—
584C2×C4—92no—
585C2×C4—128no—
586C2×C4—181no—
587C2×C4—181no—
588C2×C4—181no—
589C2×C4—181no—
590C2×C4—181no—
591C2×C4—181no—
592C2×C4—181no—
593C2×C4—181no—
594C2×C4—181no—
595C2×C4—368no—
596C2×C4—368no—
597C2×C4D3×Dic612yes—
598C2×C4#379612yes—
599C2×C4C4×D3212yes—
600C2×C4D3×#6712yes—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—21no—
608C2×C3—68no—
609C2×C3C2×D3×C4⋊C411yescharacteristic
610C2×C3C4×#23711yescharacteristic
611C2×C3#553911yescharacteristic
612C2×C3#554311yescharacteristic
613C2×C3#554511yescharacteristic
614C2×C3#554511yescharacteristic
615C2×C3C4×#23911yescharacteristic
616C2×C3#561211yescharacteristic
617C2×C3#563011yescharacteristic
618C2×C3#569011yescharacteristic
619C2×C3#573011yescharacteristic
620C2×C3C22×Dic3⋊C411yescharacteristic
621C2×C3#580611yescharacteristic
622C2×C3#582911yescharacteristic
623D3—28no—
624C22—38no—
625C22—64no—
626C22—64no—
627C22—64no—
628C22—64no—
629C22—64no—
630C22—64no—
631C22C2×D3×Dic611yescharacteristic
632C22C2×#379611yescharacteristic
633C22C2×C4×D3211yescharacteristic
634C22#6430611yescharacteristic
635C22#6430711yescharacteristic
636C22#6430711yescharacteristic
637C22C2×D3×#6711yescharacteristic
638C4—22no—
639C4—41no—
640C4—64no—
641C4—122no—
642C4—122no—
643C4—182no—
644C4—182no—
645C4—182no—
646C4—361no—
647C4D3×Dic3⋊C414yes—
648C3—21no—
649C3#7620311yescharacteristic, complemented
650C3#8233411yescharacteristic, complemented
651C2—68no—
652C2C4×#379611yescharacteristic
653C2#1059394111yescharacteristic
654C2#1059395611yescharacteristic
655C2#1059399611yescharacteristic
656C2C2×D3×Dic3⋊C411yescharacteristic
657C2#1059488911yescharacteristic
658C2#1059507011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C42C22
socle, cosocleC23×C32C24
prime radicalC22×C3×D12C22
hypercenterC2×C42D32
hypocenterC32#2349
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
4. C4×#3750C2semidirect
5. C3×#4928C2semidirect
6. #10591372C2semidirect
7. #10591366C2semidirect
8. D3×C3⋊#95C2semidirect
9. #10591357C2semidirect
10. #10591278C2semidirect
11. #10591230C2semidirect
33. #63898C4semidirect
60. #4928D3semidirect
85. C2×D3×Dic3C2×C4semidirect
90. C4×C3⋊Dic3C2×C4semidirect
94. C3×C4⋊Dic3C2×C4semidirect
98. (C2×D3)⋊Dic3C2×C4semidirect
197. C3×D12C4⋊C4semidirect
281. C4⋊Dic3C4×D3semidirect
448. D12Dic3⋊C4semidirect
558. C32#2349semidirect
649. C3#76203semidirect
650. C3#82334semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D122
C2×#638982
C4×#37502
C3×#49282
#105913722
#105913662
D3×C3⋊#952
#105913572
#105912782
#105912302
#823343
#762033