Finite Group Databasebeta

← #11896000

Subgroups — #11896000

Order 1152.

815 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5685C211yesmaximal, characteristic, complemented
2#10593900C211yesmaximal, characteristic
3#10592765C211yesmaximal, characteristic, complemented
4C3×#5067C211yesmaximal, characteristic, complemented
5#10590550C211yesmaximal, characteristic, complemented
6#10590549C211yesmaximal, characteristic, complemented
7#10590549C211yesmaximal, characteristic, complemented
8#10590548C211yesmaximal, characteristic, complemented
9#10590469C211yesmaximal, characteristic, complemented
10#10590463C211yesmaximal, characteristic, complemented
11#10590454C211yesmaximal, characteristic, complemented
12#10590453C211yesmaximal, characteristic, complemented
13#10590364C211yesmaximal, characteristic, complemented
14#10590362C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83690—31nomaximal
17#81709—31nomaximal
18C2×#3796—21no—
19C32×#125C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C3×#890C2211yescharacteristic
22C3×#889—21no—
23C3×#889—21no—
24C3×#888—21no—
25C3×#888C2211yescharacteristic
26C3×#887—21no—
27C3×#887C2211yescharacteristic
28C3×#887C2211yescharacteristic
29C3×#874C2211yescharacteristic
30C3×C4×Dic6C2211yescharacteristic
31C3×C4×Dic6C2211yescharacteristic
32#63916—21no—
33#63911C2211yescharacteristic
34#63911C2211yescharacteristic
35Dic3×D12C2211yescharacteristic
36Dic3×D12C2211yescharacteristic
37#63886—21no—
38#63886—21no—
39C2×#3717C2211yescharacteristic
40C2×#3715C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42#63636C2211yescharacteristic
43#63636C2211yescharacteristic
44#63635C2211yescharacteristic
45#63634C2211yescharacteristic
46C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
47C3×#809C2211yescharacteristic
48C3×#809C2211yescharacteristic
49C3×#809C2211yescharacteristic
50C3×#809C2211yescharacteristic
51C3×#803C2211yescharacteristic
52#63575C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63564C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#557—31no—
62#5718—31no—
63#5685D311yescharacteristic, complemented
64#5577—31no—
65C3×#490—31no—
66#5088—31no—
67#5087—31no—
68#5075—31no—
69#5067—31no—
70#5067D311yescharacteristic, complemented
71#5066—31no—
72#5066—31no—
73#5066—31no—
74#5066—61no—
75#5027—31no—
76#5027—31no—
77#5027—31no—
78#5026—31no—
79#5026—31no—
80C4×#215—31no—
81#5024—31no—
82#4766—31no—
83#4764—31no—
84#4762—31no—
85#4762—31no—
86#4760—31no—
87#4759—31no—
88#4758—31no—
89#4757—31no—
90#4710—31no—
91#4701—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C3×D12—21no—
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×Dic6—21no—
99C2×C3×Dic6D411yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107#3796—44no—
108C32×C4⋊C4—21no—
109C32×C4⋊C4—21no—
110C32×C4⋊C4C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C32×C42C2311yescharacteristic
113#3752—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
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(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136#3717—22no—
137#3715—22no—
138#3715—22no—
139#3368—91noSylow
140C2×#239—61no—
141C2×#237—61no—
142C3×C4⋊Q8—31no—
143C3×C4⋊Q8—61no—
144C3×#127—31no—
145C3×#125—21no—
146C3×#125—31no—
147C3×#125—61no—
148C3×#125—61no—
149C3×#125C2×D311yescharacteristic
150C3×#125C2×D311yescharacteristic
151C3×C4×Q8—31no—
152C3×C4×Q8—31no—
153C3×C4×Q8—31no—
154C3×C4×Q8—31no—
155C3×C4×Q8—61no—
156C2×#215—31no—
157C2×#215—31no—
158C2×#215—31no—
159#940—31no—
160#940—31no—
161#939—61no—
162#939—61no—
163#938—61no—
164D4×Dic3—31no—
165D4×Dic3—31no—
166C2×#214—31no—
167C2×#214—31no—
168C2×#204—31no—
169#895—61no—
170#895—61no—
171#895—61no—
172#890C2×D311yescharacteristic
173#889—21no—
174#889—21no—
175#888—21no—
176#888C2×D311yescharacteristic
177#887—21no—
178#887C2×D311yescharacteristic
179#887C2×D311yescharacteristic
180#874—31no—
181#874—31no—
182#874C2×D311yescharacteristic
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—31no—
186C4×D12—31no—
187C4×D12—61no—
188C4×Dic6C2×D311yescharacteristic
189C4×Dic6C2×D311yescharacteristic
190C3×#102—31no—
191C3×#102—31no—
192C3×#102—31no—
193C3×#102—31no—
194C3×#97—31no—
195#835—31no—
196#832—31no—
197#832—31no—
198#821—31no—
199#818—31no—
200#816—31no—
201#815—31no—
202Dic3⋊C8—31no—
203Dic3⋊C8—31no—
204C8×Dic3—31no—
205#809—31no—
206#809—31no—
207#809—31no—
208#809—31no—
209#809—31no—
210#809—31no—
211#809—31no—
212#809—61no—
213#809—61no—
214#809C2×D311yescharacteristic
215#809C2×D311yescharacteristic
216#809C2×D311yescharacteristic
217#809C2×D311yescharacteristic
218#808—31no—
219#808—31no—
220#808—61no—
221#807—31no—
222#807—31no—
223#807—31no—
224#807—61no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—31no—
229C4⋊(C3⋊C8)—61no—
230#803—31no—
231#803C2×D311yescharacteristic
232C4×C3⋊C8—31no—
233C22×C3⋊D3—21no—
234C22×C3×D3—21no—
235C22×C3×D3—21no—
236C2×C32×C4—21no—
237C2×C32×C4—21no—
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)—21no—
244C4×C3⋊D3—42no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C3×D12—21no—
252C3×D12—21no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—42no—
256C3×D12—81no—
257C3×Dic6—21no—
258C3×Dic6—22no—
259C3×Dic6—42no—
260C3×Dic6#4112yescomplemented
261#626—42no—
262#626—42no—
263#626—81no—
264#626—81no—
265D3×Dic3—42no—
266D3×Dic3—42no—
267C3⋊(C3⋊C8)—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271#557—31no—
272#550—91no—
273#490—31no—
274#490—91no—
275#486—91no—
276#478—91no—
277#478—91no—
278#474—91no—
279#460—91no—
280#460—91no—
281#460—91no—
282#446—91no—
283#440—91no—
284#440—91no—
285C4×SD16—91no—
286C2×C3×Q8—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—61no—
289C2×C3×D4—31no—
290C2×C3×D4—31no—
291C2×C3×D4—61no—
292C2×C3×D4—61no—
293C2×#67—61no—
294C2×#67—61no—
295C2×#67—61no—
296C2×#67—61no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299#239—124no—
300#237—124no—
301C2×D12—21no—
302C2×D12—21no—
303C2×D12—31no—
304C2×D12—31no—
305C2×D12—61no—
306C2×D12—61no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12C22×D311yescharacteristic
311C2×D12C22×D311yescharacteristic
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—121no—
317C2×Dic6—21no—
318C2×Dic6#6711yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C2×C3×C8—31no—
321C2×C3×C8—31no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—41no—
333C3×C4⋊C4—41no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C4⋊C4C22×D311yescharacteristic
344C3×C42—21no—
345C3×C42—31no—
346C3×C42—31no—
347C3×C42—61no—
348C3×C42—61no—
349C3×C42—61no—
350C3×C42C22×D311yescharacteristic
351C3×C42C22×D311yescharacteristic
352#217—61no—
353#217—61no—
354#215—62no—
355#215—62no—
356#215—62no—
357#214—62no—
358#214—62no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—121no—
364C4⋊Dic3—21no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3#6711yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4#6711yescharacteristic
376Dic3⋊C4#6711yescharacteristic
377C4×Dic3—21no—
378C4×Dic3—21no—
379C4×Dic3—21no—
380C4×Dic3C22×D311yescharacteristic
381C4×Dic3C22×D311yescharacteristic
382C2×C3⋊C8—31no—
383C2×C3⋊C8—31no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—61no—
387C2×C3⋊C8—61no—
388C2×C3⋊C8C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390#204—62no—
391C22×C32C22×D411yescharacteristic
392C2×C3⋊D3—41no—
393C2×C3⋊D3—41no—
394C2×C3⋊D3—41no—
395C2×C3×D3—41no—
396C2×C3×D3—41no—
397C2×C3×D3—41no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C32×C4—21no—
402C32×C4—21no—
403C32×C4—41no—
404C32×C4—41no—
405C32×C4C2×#4111yescharacteristic
406C32×C42−1+411yescharacteristic
407C3⋊Dic3—41no—
408C3×Dic3—22no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—41no—
413C3×Dic3AGL(1,ℤ/8)12yes—
414C2×#41—181no—
415C2×SD16—91no—
416C2×SD16—91no—
417C2×SD16—91no—
418C4⋊Q8—31no—
419C4⋊Q8—61no—
420#127—31no—
421#127—91no—
422#127—91no—
423#125—31no—
424#125—61no—
425#125—61no—
426#125D3211yescharacteristic
427#121—181no—
428#121—181no—
429#121—181no—
430C4×Q8—31no—
431C4×Q8—31no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—61no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—91no—
438#107—91no—
439#107—91no—
440#106—91no—
441C4⋊C8—91no—
442C4⋊C8—91no—
443C4⋊C8—91no—
444#103—91no—
445#102—31no—
446#102—31no—
447#102—31no—
448#102—31no—
449#102—91no—
450#102—91no—
451#102—91no—
452#102—91no—
453#102—91no—
454#97—31no—
455#97—91no—
456C4×C8—91no—
457C23×C3—61no—
458C23×C3—61no—
459C22×D3—21no—
460C22×D3—21no—
461C22×D3—61no—
462C22×D3—61no—
463C22×D3—121no—
464C3×Q8—32no—
465C3×Q8—62no—
466C3×Q8—61no—
467C3×Q8—122no—
468C3×D4—61no—
469C3×D4—61no—
470C3×D4—61no—
471C3×D4—61no—
472C3×D4—122no—
473C3×D4—241no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—41no—
486C2×C3×C4—41no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4C2×#6711yescharacteristic
492C2×C3×C4C2×#6711yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495#67—122no—
496#67—122no—
497#67—241no—
498#67—241no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—121no—
504C2×Dic3—122no—
505C2×Dic3—122no—
506C2×Dic3C2×#6711yescharacteristic
507C2×Dic3C2×#6711yescharacteristic
508C2×Dic3C2×#6711yescharacteristic
509C2×Dic3C2×#6711yescharacteristic
510D12—21no—
511D12—21no—
512D12—21no—
513D12—21no—
514D12—42no—
515D12—62no—
516D12—61no—
517D12—61no—
518D12—61no—
519D12—61no—
520D12—81no—
521D12—121no—
522D12—122no—
523D12—122no—
524D12—241no—
525D12—241no—
526C4×D3—122no—
527C4×D3—122no—
528C4×D3—122no—
529C4×D3—122no—
530C4×D3—242no—
531Dic6—21no—
532Dic6—22no—
533Dic6—42no—
534Dic6#23912yescomplemented
535C3×C8—61no—
536C3×C8—61no—
537C3⋊C8—21no—
538C3⋊C8—21no—
539C3⋊C8—61no—
540C3⋊C8—61no—
541C3⋊C8—61no—
542C3⋊C8—61no—
543C3⋊C8—121no—
544C3⋊C8—121no—
545C2×C32#54811yescharacteristic
546C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
547C2×C32#57711yescharacteristic
548C3⋊D3—81no—
549C3×D3—81no—
550C3×D3—81no—
551#41—364no—
552C2×Q8—31no—
553C2×Q8—31no—
554C2×Q8—61no—
555C2×D4—31no—
556C2×D4—31no—
557C2×D4—61no—
558C2×D4—61no—
559C2×D4—91no—
560C2×D4—181no—
561C2×D4—181no—
562C2×D4—181no—
563C2×D4—181no—
564C22×C4—181no—
565C22×C4—181no—
566C22×C4—181no—
567SD16—182no—
568SD16—182no—
569SD16—182no—
570C2×C8—31no—
571C2×C8—31no—
572C2×C8—91no—
573C2×C8—91no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—31no—
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—91no—
587C4⋊C4C2×D3211yescharacteristic
588C4⋊C4C2×D3211yescharacteristic
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C42—31no—
593C42—31no—
594C42—61no—
595C42—61no—
596C42—61no—
597C42C2×D3211yescharacteristic
598C22×C3—21no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3—121no—
602C22×C3—121no—
603C22×C3—121no—
604C22×C3—121no—
605C22×C3C2×D3×D411yescharacteristic
606C22×C3C22×#6711yescharacteristic
607C2×D3—41no—
608C2×D3—41no—
609C2×D3—41no—
610C2×D3—41no—
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—122no—
614C2×D3—121no—
615C2×D3—121no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—241no—
621C2×D3—241no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—32no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—62no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—81no—
640C3×C4—81no—
641C3×C4—121no—
642C3×C4C2×#23911yescharacteristic
643C3×C4#100711yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4#101011yescharacteristic
646Dic3—22no—
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—41no—
651Dic3—121no—
652Dic3—121no—
653Dic3—241no—
654Dic3#94912yes—
655C32#336811yescharacteristic, complemented, Sylow
656C23—61no—
657C23—61no—
658C23—181no—
659Q8—32no—
660Q8—62no—
661Q8—61no—
662Q8—122no—
663D4—61no—
664D4—61no—
665D4—61no—
666D4—61no—
667D4—122no—
668D4—181no—
669D4—181no—
670D4—241no—
671D4—362no—
672D4—362no—
673D4—721no—
674D4—721no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—31no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—181no—
684C2×C4—362no—
685C2×C4—362no—
686C2×C4—362no—
687C2×C4D3×#6711yescharacteristic
688C2×C4D3×#6711yescharacteristic
689C2×C4C22×D3211yescharacteristic
690C8—61no—
691C8—61no—
692C8—181no—
693C8—181no—
694C2×C3—21no—
695C2×C3—21no—
696C2×C3—21no—
697C2×C3—241no—
698C2×C3—241no—
699C2×C3#567711yescharacteristic
700C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
701C2×C3#577511yescharacteristic
702C2×C3#581711yescharacteristic
703C2×C3C2×#94911yescharacteristic
704C2×C3#583711yescharacteristic
705D3—81no—
706D3—81no—
707D3—242no—
708D3—241no—
709D3—241no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—121no—
714C22—121no—
715C22—121no—
716C22—361no—
717C22—361no—
718C22—361no—
719C22C2×D3×#6711yescharacteristic
720C4—21no—
721C4—21no—
722C4—32no—
723C4—41no—
724C4—41no—
725C4—62no—
726C4—61no—
727C4—61no—
728C4—61no—
729C4—121no—
730C4—361no—
731C4#6431511yescharacteristic
732C4D3×#23911yescharacteristic
733C3—21no—
734C3#8170911yescharacteristic, complemented
735C3#8369011yescharacteristic, complemented
736C2—241no—
737C2—241no—
738C2—721no—
739C2#1059540111yescharacteristic
740C2D3×#94911yescharacteristic
741C2#1059545511yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#125C22
socleC22×C32C22×D4
prime radical#10593900C2
hypercenter#125D32
hypocenterC32#3368
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. C3×#5685C2semidirect
3. #10592765C2semidirect
4. C3×#5067C2semidirect
5. #10590550C2semidirect
6. #10590549C2semidirect
7. #10590549C2semidirect
8. #10590548C2semidirect
9. #10590469C2semidirect
10. #10590463C2semidirect
11. #10590454C2semidirect
12. #10590453C2semidirect
13. #10590364C2semidirect
14. #10590362C2semidirect
15. #10590251C2semidirect
63. #5685D3semidirect
70. #5067D3semidirect
260. C3×Dic6#41semidirect
534. Dic6#239semidirect
655. C32#3368semidirect
734. C3#81709semidirect
735. C3#83690semidirect

Maximal subgroups

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

subgroupindex
C3×#56852
#105939002
#105927652
C3×#50672
#105905502
#105905492
#105905482
#105904692
#105904632
#105904542
#105904532
#105903642
#105903622
#105902512
#836903
#817093