Finite Group Databasebeta

← #11898359

Subgroups — #11898359

Order 1152.

785 conjugacy classes of subgroups.

The subgroup lattice has 747 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5671C211yesmaximal, characteristic, complemented
2#10593850C211yesmaximal, characteristic, complemented
3#10592758C211yesmaximal, characteristic
4C3×#5054C211yesmaximal, characteristic, complemented
5#10591626C211yesmaximal, characteristic, complemented
6#10591607C211yesmaximal, characteristic, complemented
7#10591565C211yesmaximal, characteristic, complemented
8#10591537C211yesmaximal, characteristic, complemented
9#10591489C211yesmaximal, characteristic, complemented
10#10591473C211yesmaximal, characteristic
11#10591441C211yesmaximal, characteristic, complemented
12#10591400C211yesmaximal, characteristic
13C4×#3718C211yesmaximal, characteristic, complemented
14#10590368C211yesmaximal, characteristic, complemented
15#10590250C211yesmaximal, characteristic, complemented
16#83670—31nomaximal
17#80588—31nomaximal
18C32×#124C2211yescharacteristic
19C2×#3756C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21C2×#3754C2211yescharacteristic
22C2×#3753C2211yescharacteristic
23#64084C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C3×#944C2211yescharacteristic
26C2×C3×#216C2211yescharacteristic
27C3×#936C2211yescharacteristic
28C3×D4×Dic3C2211yescharacteristic
29C2×C3×#214C2211yescharacteristic
30C3×#879—21no—
31C3×#879—21no—
32C3×#878—21no—
33C3×#877—21no—
34C3×C4×Dic6C2211yescharacteristic
35C3×C4×Dic6C2211yescharacteristic
36C3×C4×Dic6C2211yescharacteristic
37#63894C2211yescharacteristic
38#63888—21no—
39#63868—21no—
40#63866C2211yescharacteristic
41#63864C2211yescharacteristic
42#63848—21no—
43#63844C2211yescharacteristic
44#63836—21no—
45C2×#3719C2211yescharacteristic
46C2×#3718C2211yescharacteristic
47C2×#3717C2211yescharacteristic
48C4×C3⋊(C3⋊C8)C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#832C2211yescharacteristic
51C3×C4⋊(C3⋊C8)C2211yescharacteristic
52#63576C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63565C2211yescharacteristic
57#63565C2211yescharacteristic
58#63564C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#556—31no—
62#5671D311yescharacteristic, complemented
63#5584—31no—
64#5568—31no—
65C3×#464—31no—
66#5185—31no—
67#5183—31no—
68#5168—31no—
69#5162—31no—
70#5092—31no—
71#5083—31no—
72#5059—31no—
73#5059—31no—
74#5059—31no—
75#5059—61no—
76#5054—31no—
77#5054D311yescharacteristic, complemented
78C4×#216—31no—
79C4×#216—31no—
80C4×#216—31no—
81#5028—31no—
82#5028—31no—
83Q8×C3⋊C8—31no—
84#5019—31no—
85C4×#213—31no—
86#4845—31no—
87#4830—31no—
88#4818—31no—
89#4790—31no—
90#4767—31no—
91#4756—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×#634C2311yescharacteristic
96C22×C3×Dic3—21no—
97C2×C3×Dic6D411yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#624—21no—
101C32×C22⋊C4—21no—
102C32×C22⋊C4—21no—
103C32×C42C2311yescharacteristic
104#3756—22no—
105#3755—41no—
106#3754—41no—
107#3753—22no—
108#3752—21no—
109#3752—21no—
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C3×#217—21no—
113C3×#217—21no—
114C3×#217—21no—
115C3×#216—41no—
116C3×#214—41no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3—21no—
128C3×C4×Dic3—21no—
129C3×C4×Dic3—21no—
130C3×C4×Dic3C2311yescharacteristic
131C3×C4×Dic3C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133C2×C3×C3⋊C8C2311yescharacteristic
134#3724—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137#3722—21no—
138#3722—21no—
139#3722—21no—
140Dic32—21no—
141#3719—41no—
142#3718—22no—
143#3717—41no—
144#3393—91noSylow
145C2×C3×Q16—31no—
146C2×C3×SD16—31no—
147C3×C4⋊Q8—31no—
148C3×#126—61no—
149C3×#126—61no—
150C3×#124—21no—
151C3×#124—31no—
152C3×#124C2×D311yescharacteristic
153C3×#124C2×D311yescharacteristic
154C3×C22⋊Q8—61no—
155C3×C4×Q8—31no—
156C3×C4×Q8—31no—
157C3×C4×Q8—31no—
158C3×C4×Q8—31no—
159C3×C4×D4—31no—
160C3×#117—61no—
161#947—31no—
162#946—61no—
163Q8×Dic3C2×D311yescharacteristic
164#944—31no—
165#944C2×D311yescharacteristic
166C2×#216—31no—
167C2×#216—31no—
168C2×#216—31no—
169C2×#216—31no—
170C2×#216—31no—
171C2×#216—61no—
172C2×#216C2×D311yescharacteristic
173C2×#215—31no—
174C2×#215—31no—
175C2×#215—31no—
176C2×#215—61no—
177#936C2×D311yescharacteristic
178D4×Dic3C2×D311yescharacteristic
179C2×#214—31no—
180C2×#214—31no—
181C2×#214—61no—
182C2×#214C2×D311yescharacteristic
183C2×#213—31no—
184C2×#213—31no—
185C2×#213—61no—
186C2×Dic12—31no—
187C2×#204—31no—
188#898—61no—
189#898—61no—
190#898—61no—
191#896—61no—
192#893—31no—
193#892—61no—
194#887—31no—
195#879—21no—
196#879—21no—
197#878—21no—
198#877—21no—
199#876—61no—
200#875—31no—
201#875—31no—
202#875—31no—
203#875—61no—
204C4×D12—31no—
205#872—61no—
206#869—31no—
207C4×Dic6—31no—
208C4×Dic6C2×D311yescharacteristic
209C4×Dic6C2×D311yescharacteristic
210C4×Dic6C2×D311yescharacteristic
211C3×C4⋊C8—31no—
212C3×#103—31no—
213C3×#102—31no—
214#835—31no—
215#835—31no—
216#835C2×D311yescharacteristic
217#832C2×D311yescharacteristic
218#821—31no—
219#816—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—31no—
222C8×Dic3—31no—
223C8×Dic3—31no—
224#810—31no—
225#810—31no—
226#810—31no—
227#809—31no—
228#807—31no—
229#807—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C4×C3⋊C8—31no—
236C4×C3⋊C8—31no—
237C4×C3⋊C8—61no—
238C23×C32—21no—
239C22×C3⋊D3—21no—
240C32×Q8—21no—
241C32×Q8—21no—
242C32×D4—21no—
243C32×D4—21no—
244C2×C32×C4—21no—
245C2×C32×C4C2×D411yescharacteristic
246C2×C32×C4C2×D411yescharacteristic
247C2×C32×C4C2411yescharacteristic
248C2×C3⋊Dic3—21no—
249C4⋊(C3⋊D3)—21no—
250C4⋊(C3⋊D3)—21no—
251#634—21no—
252#634—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—42no—
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C3×Dic6—22no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267#624—42no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)#4112yes—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#556—31no—
273#556—91no—
274#495—91no—
275#495—91no—
276#494—91no—
277#464—31no—
278#464—91no—
279#464—91no—
280#464—91no—
281#461—91no—
282#461—91no—
283C8×Q8—91no—
284C4×Q16—91no—
285C4×Q16—91no—
286C4×D8—91no—
287C2×C3×Q8—21no—
288C2×C3×Q8—31no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—21no—
294C2×C3×D4C22×D311yescharacteristic
295C2×C3×D4C22×D311yescharacteristic
296C22×C3×C4—61no—
297C22×Dic3—21no—
298C2×D12—31no—
299C2×D12—31no—
300C2×D12—61no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×Dic6—31no—
304C2×Dic6—31no—
305C2×Dic6—61no—
306C2×Dic6#6711yescharacteristic
307C2×Dic6C22×D311yescharacteristic
308C2×Dic6C22×D311yescharacteristic
309C3×Q16—121no—
310C3×SD16—121no—
311C2×C3×C8—31no—
312C2×C3×C8—31no—
313C3×C4⋊C4—31no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C22⋊C4—21no—
324C3×C22⋊C4—21no—
325C3×C22⋊C4—21no—
326C3×C22⋊C4—21no—
327C3×C22⋊C4—41no—
328C3×C22⋊C4—41no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C42—21no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—61no—
336C3×C42—61no—
337C3×C42—61no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#217—21no—
341#217—21no—
342#217—21no—
343#216—41no—
344#216—62no—
345#216—62no—
346#216—62no—
347#216—62no—
348#216—122no—
349#216—121no—
350#215—121no—
351#215—121no—
352#215—121no—
353#215—122no—
354#214—41no—
355#214—121no—
356#214—121no—
357#214—122no—
358#213—62no—
359#213—62no—
360#213—122no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370(C2×D3)⋊C4—61no—
371(C2×D3)⋊C4—121no—
372(C2×D3)⋊C4—121no—
373C4⋊Dic3—21no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3#6711yescharacteristic
377C4⋊Dic3C22×D311yescharacteristic
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—21no—
380Dic3⋊C4—21no—
381Dic3⋊C4—21no—
382Dic3⋊C4—21no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4#6711yescharacteristic
388Dic3⋊C4#6711yescharacteristic
389C4×Dic3—21no—
390C4×Dic3—21no—
391C4×Dic3—21no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3C22×D311yescharacteristic
395C4×Dic3C22×D311yescharacteristic
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—31no—
400C2×C3⋊C8—61no—
401C2×C3⋊C8—61no—
402C2×C3⋊C8C22×D311yescharacteristic
403C2×C3⋊C8C22×D311yescharacteristic
404Dic12—121no—
405#204—121no—
406C22×C32—41no—
407C22×C32—41no—
408C22×C32—41no—
409C22×C32C22×D411yescharacteristic
410C2×C3⋊D3—41no—
411C2×C3⋊D3—41no—
412C2×C3⋊D3—41no—
413C32×C4—21no—
414C32×C4—21no—
415C32×C4—41no—
416C32×C4C2×#4111yescharacteristic
417C32×C4H(5,𝔽2)11yescharacteristic
418C3⋊Dic3—41no—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C3×Dic3#13512yes—
427C2×Q16—31no—
428C2×Q16—91no—
429C2×Q16—91no—
430C2×Q16—91no—
431C2×SD16—31no—
432C2×SD16—91no—
433C2×SD16—91no—
434C2×SD16—91no—
435C2×D8—91no—
436C4⋊Q8—31no—
437C4⋊Q8—91no—
438#126—61no—
439#126—61no—
440#126—181no—
441#126—181no—
442#124—31no—
443#124—91no—
444#124—91no—
445#124D3211yescharacteristic
446C22⋊Q8—61no—
447C22⋊Q8—181no—
448C4×Q8—31no—
449C4×Q8—31no—
450C4×Q8—31no—
451C4×Q8—31no—
452C4×Q8—91no—
453C4×D4—31no—
454C4×D4—91no—
455#117—61no—
456#117—181no—
457#107—91no—
458C4⋊C8—31no—
459C4⋊C8—91no—
460C4⋊C8—91no—
461#103—31no—
462#103—91no—
463#103—91no—
464#103—91no—
465#102—31no—
466#102—91no—
467C4×C8—91no—
468C4×C8—91no—
469C4×C8—91no—
470C23×C3—21no—
471C23×C3—21no—
472C23×C3—41no—
473C22×D3—61no—
474C22×D3—61no—
475C22×D3—121no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—41no—
481C3×Q8—41no—
482C3×Q8—62no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—61no—
486C3×Q8—61no—
487C3×D4—21no—
488C3×D4—21no—
489C3×D4—21no—
490C3×D4—21no—
491C3×D4—41no—
492C3×D4—41no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—21no—
498C2×C3×C4—31no—
499C2×C3×C4—31no—
500C2×C3×C4—31no—
501C2×C3×C4—31no—
502C2×C3×C4—41no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—61no—
507C2×C3×C4—122no—
508C2×C3×C4D3×D411yescharacteristic
509C2×C3×C4D3×D411yescharacteristic
510C2×C3×C4C2×#6711yescharacteristic
511C2×C3×C4C2×#6711yescharacteristic
512C2×C3×C4C23×D311yescharacteristic
513C2×C3×C4C23×D311yescharacteristic
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—42no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—121no—
522C2×Dic3C2×#6711yescharacteristic
523C2×Dic3C2×#6711yescharacteristic
524C2×Dic3C2×#6711yescharacteristic
525C2×Dic3C2×#6711yescharacteristic
526D12—61no—
527D12—61no—
528D12—61no—
529D12—61no—
530D12—121no—
531D12—121no—
532C4×D3—122no—
533C4×D3—122no—
534Dic6—22no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539Dic6—61no—
540Dic6—61no—
541Dic6—61no—
542Dic6—61no—
543Dic6—121no—
544Dic6—121no—
545C3×C8—61no—
546C3×C8—61no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C3⋊C8—32no—
550C3⋊C8—32no—
551C3⋊C8—62no—
552C3⋊C8—62no—
553C3⋊C8—61no—
554C3⋊C8—61no—
555C2×C32—81no—
556C2×C32#55011yescharacteristic
557C2×C32C2×#13511yescharacteristic
558C2×C32#57811yescharacteristic
559C3⋊D3—81no—
560C2×Q8—31no—
561C2×Q8—31no—
562C2×Q8—31no—
563C2×Q8—91no—
564C2×Q8C2×D3211yescharacteristic
565C2×D4—91no—
566C2×D4C2×D3211yescharacteristic
567C22×C4—61no—
568C22×C4—181no—
569Q16—121no—
570Q16—182no—
571Q16—182no—
572Q16—361no—
573SD16—121no—
574SD16—361no—
575SD16—361no—
576SD16—361no—
577D8—182no—
578C2×C8—31no—
579C2×C8—31no—
580C2×C8—91no—
581C2×C8—91no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—31no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C22⋊C4—181no—
604C22⋊C4—181no—
605C42—31no—
606C42—31no—
607C42—61no—
608C42—61no—
609C42—61no—
610C42—181no—
611C42C2×D3211yescharacteristic
612C22×C3—21no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3—81no—
622C22×C3C2×D3×D411yescharacteristic
623C22×C3C22×#6711yescharacteristic
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—241no—
631C2×D3—241no—
632C2×D3—241no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—32no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—41no—
643C3×C4—41no—
644C3×C4—61no—
645C3×C4—61no—
646C3×C4—61no—
647C3×C4—81no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4—121no—
652C3×C4#100411yescharacteristic
653C3×C4D3×#4111yescharacteristic
654C3×C4D3×#4111yescharacteristic
655C3×C4#100911yescharacteristic
656Dic3—21no—
657Dic3—21no—
658Dic3—21no—
659Dic3—41no—
660Dic3—41no—
661Dic3—41no—
662Dic3—41no—
663Dic3—121no—
664Dic3—121no—
665Dic3—241no—
666Dic3#95012yes—
667C32#339311yescharacteristic, complemented, Sylow
668C23—21no—
669C23—181no—
670Q8—21no—
671Q8—21no—
672Q8—62no—
673Q8—61no—
674Q8—61no—
675Q8—61no—
676Q8—61no—
677Q8—181no—
678Q8—181no—
679D4—21no—
680D4—21no—
681D4—181no—
682D4—181no—
683C2×C4—21no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—122no—
693C2×C4—181no—
694C2×C4—362no—
695C2×C4D3×#6711yescharacteristic
696C2×C4D3×#6711yescharacteristic
697C2×C4C22×D3211yescharacteristic
698C8—61no—
699C8—61no—
700C8—92no—
701C8—181no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—81no—
706C2×C3—81no—
707C2×C3—161no—
708C2×C3#559911yescharacteristic
709C2×C3D3×#13511yescharacteristic
710C2×C3#577911yescharacteristic
711C2×C3C2×#95011yescharacteristic
712C2×C3#583411yescharacteristic
713C2×C3#583811yescharacteristic
714D3—241no—
715D3—241no—
716D3—481no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—361no—
721C22—361no—
722C22—361no—
723C22C2×D3×#6711yescharacteristic
724C4—21no—
725C4—21no—
726C4—32no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—61no—
731C4—121no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—361no—
736C4#6431211yescharacteristic
737C4#6431411yescharacteristic
738C3—21no—
739C3#8058811yescharacteristic, complemented
740C3#8367011yescharacteristic, complemented
741C2—81no—
742C2—721no—
743C2#1059523611yescharacteristic
744C2D3×#95011yescharacteristic
745C2#1059546511yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#124C22
socleC22×C32C22×D4
prime radicalC2×#3753C22
hypercenter#124D32
hypocenterC32#3393
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #124

Complements

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

NH ≅ G/Ntype
1. C3×#5671C2semidirect
2. #10593850C2semidirect
4. C3×#5054C2semidirect
5. #10591626C2semidirect
6. #10591607C2semidirect
7. #10591565C2semidirect
8. #10591537C2semidirect
9. #10591489C2semidirect
11. #10591441C2semidirect
13. C4×#3718C2semidirect
14. #10590368C2semidirect
15. #10590250C2semidirect
62. #5671D3semidirect
77. #5054D3semidirect
667. C32#3393semidirect
739. C3#80588semidirect
740. C3#83670semidirect

Maximal subgroups

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

subgroupindex
C3×#56712
#105938502
#105927582
C3×#50542
#105916262
#105916072
#105915652
#105915372
#105914892
#105914732
#105914412
#105914002
C4×#37182
#105903682
#105902502
#836703
#805883