Finite Group Databasebeta

← #11898357

Subgroups — #11898357

Order 1152.

776 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5671C211yesmaximal, characteristic, complemented
2#10593932C211yesmaximal, characteristic, complemented
3#10592753C211yesmaximal, characteristic, complemented
4C3×#5059C211yesmaximal, characteristic
5#10591626C211yesmaximal, characteristic, complemented
6#10591604C211yesmaximal, characteristic, complemented
7Dic3×#216C211yesmaximal, characteristic, complemented
8#10591564C211yesmaximal, characteristic, complemented
9#10591489C211yesmaximal, characteristic, complemented
10#10591470C211yesmaximal, characteristic
11#10591442C211yesmaximal, characteristic, complemented
12Dic3×#213C211yesmaximal, characteristic
13C4×#3719C211yesmaximal, characteristic, complemented
14#10590267C211yesmaximal, characteristic, complemented
15C3⋊C8×Dic6C211yesmaximal, characteristic, complemented
16#83670—31nomaximal
17#81813—31nomaximal
18C32×#124C2211yescharacteristic
19C2×#3756C2211yescharacteristic
20C2×#3754C2211yescharacteristic
21C4×#634C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C3×#944C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C3×#936C2211yescharacteristic
27C3×D4×Dic3C2211yescharacteristic
28C2×C3×#214C2211yescharacteristic
29C2×C3×#213C2211yescharacteristic
30C3×#879—21no—
31C3×#879—21no—
32C3×#878—21no—
33C3×#877—21no—
34C3×#875C2211yescharacteristic
35C3×C4×Dic6C2211yescharacteristic
36C3×C4×Dic6C2211yescharacteristic
37Dic3×D12C2211yescharacteristic
38#63887—21no—
39#63878—21no—
40#63866C2211yescharacteristic
41#63862—21no—
42#63860C2211yescharacteristic
43#63858—21no—
44Dic3×Dic6C2211yescharacteristic
45C2×#3719C2211yescharacteristic
46C2×#3718C2211yescharacteristic
47C2×#3715C2211yescharacteristic
48#63662C2211yescharacteristic
49#63659C2211yescharacteristic
50C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
51C3×C4×C3⋊C8C2211yescharacteristic
52#63575C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63566C2211yescharacteristic
57#63565C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#556—31no—
62#5671—31no—
63#5671D311yescharacteristic, complemented
64#5584—31no—
65C3×#495—31no—
66#5183—31no—
67Dic3×Q16—31no—
68#5166—31no—
69#5166—31no—
70#5162—31no—
71#5162—31no—
72#5155—31no—
73Dic3×D8—31no—
74#5092—31no—
75#5083—31no—
76#5059—31no—
77#5059D311yescharacteristic
78#5054—31no—
79#5054—31no—
80#5054—31no—
81#5054—31no—
82#5054—61no—
83C4×#216—31no—
84C4×#216—31no—
85#5028—31no—
86#5028—31no—
87Q8×C3⋊C8—31no—
88#5019—31no—
89C4×#213—31no—
90C4×Dic12—31no—
91C8×Dic6—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C22×C3×Dic3—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×Dic6D411yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×D3×Dic3—21no—
101C32×C22⋊C4—21no—
102C32×C22⋊C4—21no—
103C32×C42C2311yescharacteristic
104#3756—41no—
105#3754—41no—
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107#3750—21no—
108C4×C3⋊Dic3—21no—
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#217—21no—
112C3×#217—21no—
113C3×#217—21no—
114C3×#216—22no—
115C3×#215—41no—
116C3×#214—41no—
117C3×#213—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3D411yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4D411yescharacteristic
127C3×Dic3⋊C4D411yescharacteristic
128C3×C4×Dic3—21no—
129C3×C4×Dic3—21no—
130C3×C4×Dic3C2311yescharacteristic
131C3×C4×Dic3C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133C2×C3×C3⋊C8C2311yescharacteristic
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140Dic32—21no—
141#3719—22no—
142#3718—41no—
143#3715—41no—
144#3393—91noSylow
145C2×C3×Q16—31no—
146C2×C3×SD16—31no—
147C2×C3×SD16—31no—
148C2×C3×D8—31no—
149C3×C4⋊Q8—31no—
150C3×#126—61no—
151C3×#126—61no—
152C3×#124—21no—
153C3×#124—31no—
154C3×#124—31no—
155C3×#124C2×D311yescharacteristic
156C3×#124C2×D311yescharacteristic
157C3×C22⋊Q8—61no—
158C3×C4×Q8—31no—
159C3×C4×Q8—31no—
160C3×C4×Q8—31no—
161C3×C4×D4—31no—
162C3×#117—61no—
163#946—61no—
164Q8×Dic3—31no—
165Q8×Dic3C2×D311yescharacteristic
166#944—31no—
167#944C2×D311yescharacteristic
168C2×#216—31no—
169C2×#216—31no—
170C2×#216—31no—
171C2×#216—31no—
172C2×#216—31no—
173C2×#216—61no—
174C2×#216C2×D311yescharacteristic
175C2×#215—31no—
176C2×#215C2×D311yescharacteristic
177#936—31no—
178#936C2×D311yescharacteristic
179D4×Dic3—31no—
180D4×Dic3C2×D311yescharacteristic
181C2×#214—31no—
182C2×#214—31no—
183C2×#214—31no—
184C2×#214—61no—
185C2×#214C2×D311yescharacteristic
186C2×#213C2×D311yescharacteristic
187C2×Dic12—31no—
188#898—61no—
189#898—61no—
190#892—61no—
191#879—21no—
192#879—21no—
193#879—61no—
194#879—61no—
195#878—21no—
196#878—61no—
197#877—21no—
198#877—61no—
199#875—31no—
200#875C2×D311yescharacteristic
201C4×D12—31no—
202#869—31no—
203C4×Dic6—31no—
204C4×Dic6—31no—
205C4×Dic6—31no—
206C4×Dic6—61no—
207C4×Dic6C2×D311yescharacteristic
208C4×Dic6C2×D311yescharacteristic
209C3×C4×C8—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#835—31no—
214#835—61no—
215#832—31no—
216#832—31no—
217#832—31no—
218#832—61no—
219#818—31no—
220#816—31no—
221#816—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224C8×Dic3—31no—
225C8×Dic3—31no—
226#810—31no—
227#810—31no—
228#809—31no—
229#807—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233C4⋊(C3⋊C8)—31no—
234C4⋊(C3⋊C8)—61no—
235C4×C3⋊C8—31no—
236C4×C3⋊C8—31no—
237C4×C3⋊C8C2×D311yescharacteristic
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—
249C2×C3⋊Dic3—21no—
250#634—21no—
251#634—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—42no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×D12—21no—
261C3×D12—21no—
262C3×Dic6—22no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267D3×Dic3—42no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8#4112yes—
272#556—31no—
273#556—91no—
274#495—31no—
275#495—91no—
276#494—91no—
277#464—91no—
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×D4—31no—
295C2×C3×D4C22×D311yescharacteristic
296C2×C3×D4C22×D311yescharacteristic
297C22×C3×C4—61no—
298C22×Dic3—21no—
299C22×Dic3—61no—
300C2×D12C22×D311yescharacteristic
301C2×C4×D3—61no—
302C2×Dic6—31no—
303C2×Dic6—31no—
304C2×Dic6—61no—
305C2×Dic6#6711yescharacteristic
306C2×Dic6C22×D311yescharacteristic
307C2×Dic6C22×D311yescharacteristic
308C3×Q16—62no—
309C3×SD16—121no—
310C3×SD16—121no—
311C3×D8—62no—
312C2×C3×C8—31no—
313C2×C3×C8—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×C22⋊C4—21no—
323C3×C22⋊C4—21no—
324C3×C22⋊C4—21no—
325C3×C22⋊C4—21no—
326C3×C22⋊C4—41no—
327C3×C22⋊C4—41no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C42—21no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—61no—
337C3×C42—61no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#217—21no—
341#217—21no—
342#217—21no—
343#217—61no—
344#217—61no—
345#217—61no—
346#216—22no—
347#216—62no—
348#216—121no—
349#216—121no—
350#216—121no—
351#216—121no—
352#216—122no—
353#215—41no—
354#215—121no—
355#214—41no—
356#214—121no—
357#214—121no—
358#214—121no—
359#214—122no—
360#213—22no—
361(C2×D3)⋊C4—21no—
362(C2×D3)⋊C4—21no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366C4⋊Dic3—21no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3#6711yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384Dic3⋊C4#6711yescharacteristic
385Dic3⋊C4#6711yescharacteristic
386C4×Dic3—21no—
387C4×Dic3—21no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—121no—
393C4×Dic3C22×D311yescharacteristic
394C4×Dic3C22×D311yescharacteristic
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8—61no—
401C2×C3⋊C8C22×D311yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403Dic12—62no—
404C22×C32—41no—
405C22×C32—41no—
406C22×C32—41no—
407C22×C32C22×D411yescharacteristic
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C32×C4—21no—
412C32×C4—21no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4H(5,𝔽2)11yescharacteristic
416C3⋊Dic3—41no—
417C3⋊Dic3—41no—
418C3×Dic3—21no—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3#13512yes—
425C2×Q16—31no—
426C2×Q16—91no—
427C2×Q16—91no—
428C2×Q16—91no—
429C2×SD16—31no—
430C2×SD16—31no—
431C2×SD16—91no—
432C2×SD16—91no—
433C2×D8—31no—
434C4⋊Q8—31no—
435C4⋊Q8—91no—
436#126—61no—
437#126—61no—
438#126—181no—
439#126—181no—
440#124—31no—
441#124—31no—
442#124—91no—
443#124D3211yescharacteristic
444C22⋊Q8—61no—
445C22⋊Q8—181no—
446C4×Q8—31no—
447C4×Q8—31no—
448C4×Q8—31no—
449C4×Q8—91no—
450C4×Q8—91no—
451C4×D4—31no—
452C4×D4—91no—
453#117—61no—
454#117—181no—
455#107—91no—
456C4⋊C8—91no—
457C4⋊C8—91no—
458C4⋊C8—91no—
459#103—91no—
460#103—91no—
461#103—91no—
462#103—91no—
463#102—91no—
464#102—91no—
465C4×C8—31no—
466C4×C8—91no—
467C4×C8—91no—
468C23×C3—21no—
469C23×C3—21no—
470C23×C3—41no—
471C23×C3—61no—
472C22×D3—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—41no—
478C3×Q8—41no—
479C3×Q8—62no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×D4—21no—
485C3×D4—21no—
486C3×D4—21no—
487C3×D4—21no—
488C3×D4—41no—
489C3×D4—41no—
490C3×D4—61no—
491C3×D4—61no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—31no—
498C2×C3×C4—31no—
499C2×C3×C4—31no—
500C2×C3×C4—31no—
501C2×C3×C4—41no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—122no—
506C2×C3×C4D3×D411yescharacteristic
507C2×C3×C4D3×D411yescharacteristic
508C2×C3×C4C2×#6711yescharacteristic
509C2×C3×C4C2×#6711yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511C2×C3×C4C23×D311yescharacteristic
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—42no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—121no—
521C2×Dic3—121no—
522C2×Dic3—122no—
523C2×Dic3C2×#6711yescharacteristic
524C2×Dic3C2×#6711yescharacteristic
525C2×Dic3C2×#6711yescharacteristic
526C2×Dic3C2×#6711yescharacteristic
527D12—21no—
528D12—21no—
529C4×D3—122no—
530Dic6—22no—
531Dic6—21no—
532Dic6—21no—
533Dic6—21no—
534Dic6—21no—
535Dic6—62no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—121no—
541C3×C8—32no—
542C3×C8—61no—
543C3⋊C8—21no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—121no—
549C3⋊C8—121no—
550C3⋊C8#23712yes—
551C2×C32—81no—
552C2×C32#55011yescharacteristic
553C2×C32C2×#13511yescharacteristic
554C2×C32#57811yescharacteristic
555C3×D3—81no—
556C2×Q8—31no—
557C2×Q8—31no—
558C2×Q8—31no—
559C2×Q8—91no—
560C2×Q8C2×D3211yescharacteristic
561C2×D4—31no—
562C2×D4C2×D3211yescharacteristic
563C22×C4—61no—
564C22×C4—181no—
565Q16—62no—
566Q16—182no—
567Q16—361no—
568Q16—361no—
569SD16—121no—
570SD16—121no—
571SD16—361no—
572SD16—361no—
573D8—62no—
574C2×C8—31no—
575C2×C8—31no—
576C2×C8—91no—
577C2×C8—91no—
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—61no—
597C22⋊C4—61no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C42—31no—
602C42—31no—
603C42—61no—
604C42—61no—
605C42—181no—
606C42—181no—
607C42C2×D3211yescharacteristic
608C22×C3—21no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—81no—
616C22×C3—81no—
617C22×C3—81no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C22×#6711yescharacteristic
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—32no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—81no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23711yescharacteristic
645C3×C4#100411yescharacteristic
646C3×C4D3×#4111yescharacteristic
647C3×C4#100911yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—122no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—241no—
660Dic3#95012yes—
661C32#339311yescharacteristic, complemented, Sylow
662C23—21no—
663C23—61no—
664Q8—21no—
665Q8—21no—
666Q8—62no—
667Q8—61no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671Q8—181no—
672Q8—181no—
673D4—21no—
674D4—21no—
675D4—61no—
676D4—61no—
677C2×C4—21no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—122no—
686C2×C4—181no—
687C2×C4—181no—
688C2×C4—362no—
689C2×C4D3×#6711yescharacteristic
690C2×C4D3×#6711yescharacteristic
691C2×C4C22×D3211yescharacteristic
692C8—32no—
693C8—61no—
694C8—181no—
695C8—181no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—81no—
700C2×C3—81no—
701C2×C3—161no—
702C2×C3—241no—
703C2×C3#571811yescharacteristic
704C2×C3D3×#13511yescharacteristic
705C2×C3#577111yescharacteristic
706C2×C3C2×#95011yescharacteristic
707C2×C3#583411yescharacteristic
708C2×C3#583811yescharacteristic
709D3—81no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—121no—
714C22—121no—
715C22—121no—
716C22C2×D3×#6711yescharacteristic
717C4—21no—
718C4—21no—
719C4—32no—
720C4—41no—
721C4—61no—
722C4—61no—
723C4—61no—
724C4—121no—
725C4—121no—
726C4—121no—
727C4—361no—
728C4—361no—
729C4D3×#23711yescharacteristic
730C4#6431411yescharacteristic
731C3—21no—
732C3#8181311yescharacteristic, complemented
733C3#8367011yescharacteristic, complemented
734C2—81no—
735C2—241no—
736C2#1059515811yescharacteristic
737C2D3×#95011yescharacteristic
738C2#1059546711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#124C22
socleC22×C32C22×D4
prime radicalC2×C3×#213C22
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. #10593932C2semidirect
3. #10592753C2semidirect
5. #10591626C2semidirect
6. #10591604C2semidirect
7. Dic3×#216C2semidirect
8. #10591564C2semidirect
9. #10591489C2semidirect
11. #10591442C2semidirect
13. C4×#3719C2semidirect
14. #10590267C2semidirect
15. C3⋊C8×Dic6C2semidirect
63. #5671D3semidirect
661. C32#3393semidirect
732. C3#81813semidirect
733. C3#83670semidirect

Maximal subgroups

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

subgroupindex
C3×#56712
#105939322
#105927532
C3×#50592
#105916262
#105916042
Dic3×#2162
#105915642
#105914892
#105914702
#105914422
Dic3×#2132
C4×#37192
#105902672
C3⋊C8×Dic62
#836703
#818133