Finite Group Databasebeta

← #11872346

Subgroups — #11872346

Order 1152.

837 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593949C211yesmaximal, characteristic, complemented
2#10593887C211yesmaximal, characteristic, complemented
3#10592528C211yesmaximal, characteristic, complemented
4C3×#4843C211yesmaximal, characteristic, complemented
5C3×#4840C211yesmaximal, characteristic, complemented
6#10590962C211yesmaximal, characteristic, complemented
7#10590962C211yesmaximal, characteristic, complemented
8#10590771C211yesmaximal, characteristic, complemented
9Dic3×D24C211yesmaximal, characteristic, complemented
10#10590747C211yesmaximal, characteristic, complemented
11#10590744C211yesmaximal, characteristic, complemented
12#10590680C211yesmaximal, characteristic, complemented
13#10590676C211yesmaximal, characteristic, complemented
14#10590377C211yesmaximal, characteristic, complemented
15#10590271C211yesmaximal, characteristic, complemented
16#80316—31nomaximal
17#79384—31nomaximal
18C2×#3795C2211yescharacteristic
19#64079C2211yescharacteristic
20C4×#634C2211yescharacteristic
21C2×C3×D24C2211yescharacteristic
22C2×C3×D24C2211yescharacteristic
23C3×#874C2211yescharacteristic
24C3×C4×D12C2211yescharacteristic
25C3×#872C2211yescharacteristic
26#63908C2211yescharacteristic
27#63908C2211yescharacteristic
28#63902—21no—
29Dic3×D12C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31Dic3×D12C2211yescharacteristic
32D3×C4⋊Dic3C2211yescharacteristic
33#63885—21no—
34#63885—21no—
35#63884—21no—
36#63884—21no—
37#63879—21no—
38#63878—21no—
39D3×Dic3⋊C4—21no—
40#63844C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C32×C4⋊C8C2211yescharacteristic
44#63645C2211yescharacteristic
45#63644C2211yescharacteristic
46#63643C2211yescharacteristic
47#63643C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×(C2×D3)⋊C8C2211yescharacteristic
52C3×#815C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54C3×C4⋊(C3⋊C8)C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59#63563C2211yescharacteristic
60#63563C2211yescharacteristic
61#5719—31no—
62#5546—31no—
63#5535—31no—
64#5523—31no—
65C3×#459—31no—
66C3×#433—31no—
67#5158—31no—
68#5158—31no—
69#5152—31no—
70Dic3×D8—31no—
71#5075—31no—
72#5009—31no—
73#4848—31no—
74#4847—31no—
75#4843D311yescharacteristic, complemented
76#4840D311yescharacteristic, complemented
77#4829—31no—
78#4829—31no—
79#4829—61no—
80#4777—31no—
81#4774—31no—
82#4758—31no—
83#4757—31no—
84#4736—31no—
85#4735—31no—
86#4734—31no—
87#4734—31no—
88#4711—31no—
89#4710—31no—
90C4×D24—31no—
91C4×#204—31no—
92C2×#634C2311yescharacteristic
93C2×C3×D12—21no—
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×#625—21no—
101C2×#625—21no—
102C2×#625—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108#3795—22no—
109#3795—22no—
110C2×C32×C8C2311yescharacteristic
111C2×C32×C8C2311yescharacteristic
112C32×C42C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117#3750—21no—
118#3750—21no—
119C4×C3⋊Dic3—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4D411yescharacteristic
122C3×(C2×D3)⋊C4D411yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D24—22no—
130C3×D24—22no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3716—22no—
140#3716—22no—
141#3119—91noSylow
142C2×#237—31no—
143C2×#235—31no—
144C2×C3×D8—31no—
145C2×C3×D8—31no—
146C3×#127—31no—
147C3×C4×D4—31no—
148C3×#117—31no—
149#939—61no—
150#939—61no—
151#938—31no—
152#938—31no—
153#935—61no—
154#935—61no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157D4×Dic3—31no—
158C2×#214—31no—
159C2×#214—31no—
160#930—31no—
161#930—31no—
162C4×#67—61no—
163C2×C4⋊Dic3—31no—
164C2×Dic3⋊C4—61no—
165C2×D24C2×D311yescharacteristic
166C2×D24C2×D311yescharacteristic
167C2×#204—31no—
168C2×#204—31no—
169#894—61no—
170#894—61no—
171#892—61no—
172D3×C4⋊C4—31no—
173D3×C4⋊C4—61no—
174#887—31no—
175#884—61no—
176#884—61no—
177#67⋊C4—61no—
178#67⋊C4—61no—
179#67⋊C4—61no—
180#877—61no—
181#874C2×D311yescharacteristic
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12C2×D311yescharacteristic
186#872C2×D311yescharacteristic
187#870—31no—
188#870—31no—
189#870—61no—
190C4×Dic6—31no—
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6—61no—
194C3×C4⋊C8—21no—
195C3×C4⋊C8—31no—
196C3×C4⋊C8C2×D311yescharacteristic
197C3×C4⋊C8C2×D311yescharacteristic
198C3×#102—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203C3×C4×C8—31no—
204#832—31no—
205#832—31no—
206#832—31no—
207#832—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821C2×D311yescharacteristic
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8C2×D311yescharacteristic
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#818—31no—
219#818—61no—
220#817—31no—
221#817—31no—
222#817—31no—
223#817—61no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—31no—
228#816—61no—
229#816—61no—
230#815C2×D311yescharacteristic
231C8×Dic3C2×D311yescharacteristic
232#808—31no—
233#807—31no—
234C4⋊(C3⋊C8)C2×D311yescharacteristic
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246#634—21no—
247#634#4112yes—
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×D12—21no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—81no—
258C3×D12—81no—
259C3×D12#4112yes—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—81no—
263#625—24no—
264#625—81no—
265#625—81no—
266D3×Dic3—24no—
267D3×Dic3—81no—
268D3×Dic3—81no—
269D3×Dic3—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C32×C8—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—91no—
279#479—91no—
280#478—91no—
281#460—91no—
282#459—31no—
283#449—91no—
284#449—91no—
285#442—91no—
286#440—91no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—61no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—61no—
307C22×Dic3—61no—
308#237—62no—
309#237—62no—
310#235—62no—
311#235—62no—
312C2×D12—21no—
313C2×D12—21no—
314C2×D12C22×D311yescharacteristic
315C2×D12C22×D311yescharacteristic
316C2×D12C22×D311yescharacteristic
317C2×C4×D3—21no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3C22×D311yescharacteristic
324C2×Dic6—31no—
325C2×Dic6—31no—
326C2×Dic6—61no—
327C3×D8—62no—
328C3×D8—62no—
329C2×C3×C8—21no—
330C2×C3×C8—21no—
331C2×C3×C8—31no—
332C2×C3×C8—31no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
340C3×C22⋊C4—31no—
341C3×C22⋊C4—31no—
342C3×C22⋊C4—61no—
343C3×C42—21no—
344C3×C42—31no—
345C3×C42C22×D311yescharacteristic
346C3×C42C22×D311yescharacteristic
347#217—61no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—61no—
352#214—62no—
353#214—62no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4D1211yescharacteristic
361(C2×D3)⋊C4D1211yescharacteristic
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—121no—
383Dic3⋊C4—121no—
384Dic3⋊C4—121no—
385Dic3⋊C4D1211yescharacteristic
386Dic3⋊C4D1211yescharacteristic
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—121no—
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395D24—22no—
396D24—22no—
397#204—62no—
398#204—62no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—22no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—21no—
413C32×C4—21no—
414C32×C4C2×#4111yescharacteristic
415C32×C4C2×#4111yescharacteristic
416C3⋊Dic3—22no—
417C3⋊Dic3—41no—
418C3⋊Dic3—41no—
419C3⋊Dic3—41no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C2×#41—91no—
425C2×SD16—91no—
426C2×SD16—91no—
427C2×D8—31no—
428C2×D8—31no—
429#127—31no—
430#125—91no—
431#123—181no—
432#123—181no—
433#121—91no—
434#121—91no—
435#121—181no—
436#121—181no—
437C4×Q8—91no—
438C4×Q8—91no—
439C4×D4—31no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—181no—
444C4×D4—181no—
445#117—31no—
446#117—181no—
447C2×C4⋊C4—91no—
448C2×C4⋊C4—181no—
449#107—91no—
450#107—91no—
451#106—91no—
452#106—91no—
453C4⋊C8—31no—
454C4⋊C8D3211yescharacteristic
455#103—91no—
456#103—91no—
457#102—31no—
458#102—31no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102—91no—
463C22⋊C8—31no—
464C22⋊C8—31no—
465#97—31no—
466C4×C8—31no—
467C23×C3—31no—
468C23×C3—61no—
469C23×C3—61no—
470C23×C3—61no—
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—21no—
474C22×D3C2×D1211yescharacteristic
475C3×D4—32no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—241no—
482C3×D4—241no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—241no—
493C2×C3×C4C2×D1211yescharacteristic
494C2×C3×C4C2×D1211yescharacteristic
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—64no—
500#67—64no—
501#67—241no—
502#67—241no—
503#67—241no—
504#67—241no—
505C2×Dic3—21no—
506C2×Dic3—64no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—121no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—241no—
520C2×Dic3—241no—
521C2×Dic3—241no—
522C2×Dic3—241no—
523C2×Dic3C2×D1211yescharacteristic
524C2×Dic3C2×D1211yescharacteristic
525C2×Dic3C2×D1211yescharacteristic
526D12—21no—
527D12—21no—
528D12—21no—
529D12—21no—
530D12—21no—
531D12—81no—
532D12—81no—
533D12#23712yes—
534C4×D3—21no—
535C4×D3—21no—
536C4×D3—64no—
537C4×D3—81no—
538C4×D3—241no—
539C4×D3—241no—
540C4×D3—241no—
541C4×D3—241no—
542Dic6—32no—
543Dic6—32no—
544Dic6—62no—
545Dic6—61no—
546Dic6—61no—
547Dic6—121no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—41no—
553C3×C8—41no—
554C3×C8—61no—
555C3×C8—61no—
556C3⋊C8—21no—
557C3⋊C8—21no—
558C2×C32#52511yescharacteristic
559C2×C32#57611yescharacteristic
560C2×C32#57711yescharacteristic
561C3×D3—41no—
562C3×D3—42no—
563C3×D3—81no—
564C3×D3—81no—
565#41—182no—
566#41—182no—
567C2×Q8—91no—
568C2×D4—31no—
569C2×D4—31no—
570C2×D4—31no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—181no—
574C2×D4—181no—
575C2×D4—181no—
576C22×C4—31no—
577C22×C4—61no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4—181no—
582C22×C4—181no—
583SD16—182no—
584SD16—182no—
585D8—62no—
586D8—62no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8C2×D3211yescharacteristic
590C2×C8C2×D3211yescharacteristic
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—31no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C22⋊C4—31no—
603C22⋊C4—31no—
604C22⋊C4—61no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C42—31no—
611C42—181no—
612C42—181no—
613C42C2×D3211yescharacteristic
614C22×C3—21no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—62no—
618C22×C3—61no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3C22×D1211yescharacteristic
628C22×C3C2×D3×D411yescharacteristic
629C2×D3—21no—
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—22no—
633C2×D3—41no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—41no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—21no—
646C3×C4—21no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—61no—
650C3×C4—61no—
651C3×C4—61no—
652C3×C4—121no—
653C3×C4C2×#23711yescharacteristic
654C3×C4D3×#4111yescharacteristic
655C3×C4D3×#4111yescharacteristic
656C3×C4D3×#4111yescharacteristic
657Dic3—21no—
658Dic3—21no—
659Dic3—21no—
660Dic3—41no—
661Dic3—62no—
662Dic3—62no—
663Dic3—122no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—241no—
671Dic3—241no—
672Dic3—241no—
673C32#311911yescharacteristic, complemented, Sylow
674C23—31no—
675C23—61no—
676C23—61no—
677C23—61no—
678Q8—92no—
679Q8—181no—
680D4—32no—
681D4—61no—
682D4—61no—
683D4—61no—
684D4—61no—
685D4—61no—
686D4—184no—
687D4—241no—
688D4—241no—
689D4—721no—
690D4—721no—
691C2×C4—31no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—184no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4—181no—
702C2×C4—241no—
703C2×C4—721no—
704C2×C4—721no—
705C2×C4—721no—
706C2×C4—721no—
707C2×C4D3×D1211yescharacteristic
708C2×C4D3×D1211yescharacteristic
709C2×C4C22×D3211yescharacteristic
710C8—21no—
711C8—21no—
712C8—61no—
713C8—61no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—122no—
718C2×C3—121no—
719C2×C3—241no—
720C2×C3—241no—
721C2×C3#552411yescharacteristic
722C2×C3#560611yescharacteristic
723C2×C3#575111yescharacteristic
724C2×C3#575211yescharacteristic
725C2×C3#575711yescharacteristic
726C2×C3#577511yescharacteristic
727D3—41no—
728D3—42no—
729D3—81no—
730D3—81no—
731C22—61no—
732C22—62no—
733C22—61no—
734C22—61no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22C2×D3×D1211yescharacteristic
744C4—21no—
745C4—21no—
746C4—61no—
747C4—61no—
748C4—61no—
749C4—121no—
750C4—182no—
751C4—361no—
752C4—361no—
753C4—361no—
754C4D3×#23711yescharacteristic
755C4#6431911yescharacteristic
756C3—21no—
757C3#7938411yescharacteristic, complemented
758C3#8031611yescharacteristic, complemented
759C2—121no—
760C2—122no—
761C2—241no—
762C2—241no—
763C2#1059462611yescharacteristic
764C2#1059467811yescharacteristic
765C2#1059471311yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
hypercenterC4⋊C8D32
hypocenterC32#3119
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593949C2semidirect
2. #10593887C2semidirect
3. #10592528C2semidirect
4. C3×#4843C2semidirect
5. C3×#4840C2semidirect
6. #10590962C2semidirect
7. #10590962C2semidirect
8. #10590771C2semidirect
9. Dic3×D24C2semidirect
10. #10590747C2semidirect
11. #10590744C2semidirect
12. #10590680C2semidirect
13. #10590676C2semidirect
14. #10590377C2semidirect
15. #10590271C2semidirect
75. #4843D3semidirect
76. #4840D3semidirect
673. C32#3119semidirect
757. C3#79384semidirect
758. C3#80316semidirect

Maximal subgroups

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

subgroupindex
#105939492
#105938872
#105925282
C3×#48432
C3×#48402
#105909622
#105907712
Dic3×D242
#105907472
#105907442
#105906802
#105906762
#105903772
#105902712
#803163
#793843