Finite Group Databasebeta

← #11895949

Subgroups — #11895949

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×#5553C211yesmaximal, characteristic
2#10593851C211yesmaximal, characteristic, complemented
3#10592708C211yesmaximal, characteristic, complemented
4C3×#5018C211yesmaximal, characteristic, complemented
5#10591487C211yesmaximal, characteristic, complemented
6#10591477C211yesmaximal, characteristic, complemented
7#10591438C211yesmaximal, characteristic, complemented
8#10591438C211yesmaximal, characteristic, complemented
9#10590555C211yesmaximal, characteristic, complemented
10#10590542C211yesmaximal, characteristic, complemented
11#10590478C211yesmaximal, characteristic, complemented
12#10590475C211yesmaximal, characteristic, complemented
13#10590364C211yesmaximal, characteristic, complemented
14#10590275C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83587—31nomaximal
17#79752—31nomaximal
18C2×C3×#235—21no—
19C32×C4×D4C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×#940C2211yescharacteristic
22C3×#940C2211yescharacteristic
23C2×C3×#214C2211yescharacteristic
24C3×#930—21no—
25C3×#893C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#884—21no—
28C3×#884—21no—
29C3×#874C2211yescharacteristic
30C3×C4×Dic6C2211yescharacteristic
31C3×C4×Dic6C2211yescharacteristic
32#63918C2211yescharacteristic
33#63869C2211yescharacteristic
34#63867—21no—
35#63846—21no—
36Dic3×Dic6C2211yescharacteristic
37Dic3×Dic6C2211yescharacteristic
38#63839—21no—
39#63837—21no—
40C2×#3715C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42#63659C2211yescharacteristic
43#63659C2211yescharacteristic
44#63635C2211yescharacteristic
45#63634C2211yescharacteristic
46C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×#803C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63563C2211yescharacteristic
54#63563C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#550—31no—
62#5569—31no—
63#5567—31no—
64#5553D311yescharacteristic
65C3×#440—31no—
66#5163—31no—
67#5163—31no—
68#5075—31no—
69#5075—31no—
70#5075—31no—
71#5071—31no—
72#5071—31no—
73#5070—31no—
74#5027—31no—
75#5024—31no—
76#5018—31no—
77#5018D311yescharacteristic, complemented
78C4×#214—31no—
79#5009—31no—
80#5009—31no—
81#5009—31no—
82#5009—61no—
83#5007—31no—
84#4891—31no—
85#4890—31no—
86#4817—31no—
87#4788—31no—
88#4764—31no—
89#4760—31no—
90#4713—31no—
91#4701—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×C3×#67—21no—
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C3×#235—44no—
99C2×C3×D12—21no—
100C2×C3×D12—21no—
101C2×C3×D12C2311yescharacteristic
102C2×C3×D12C2311yescharacteristic
103C2×C3×C4×D3—21no—
104C2×C3×C4×D3—21no—
105C2×C3×Dic6D411yescharacteristic
106C2×C3×Dic6C2311yescharacteristic
107C2×#627—21no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C22⋊C4—21no—
110C32×C42C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114#3750—21no—
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#214—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4D411yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137#3715—22no—
138#3715—22no—
139#3368—91noSylow
140C2×C3×#41—61no—
141C2×#235—21no—
142C2×C3×SD16—31no—
143C3×#127—31no—
144C3×#127—31no—
145C3×#127—31no—
146C3×#121—61no—
147C3×#121—61no—
148C3×#121—61no—
149C3×C4×Q8—31no—
150C3×C4×Q8—31no—
151C3×C4×D4—21no—
152C3×C4×D4—31no—
153C3×C4×D4—31no—
154C3×C4×D4C2×D311yescharacteristic
155C3×C4×D4C2×D311yescharacteristic
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158#944—61no—
159C2×#215—31no—
160C2×#215—31no—
161#940C2×D311yescharacteristic
162#940C2×D311yescharacteristic
163C2×#214—31no—
164C2×#214—31no—
165C2×#214C2×D311yescharacteristic
166#930—21no—
167#893C2×D311yescharacteristic
168#893C2×D311yescharacteristic
169#890—31no—
170#890—61no—
171#889—61no—
172#889—61no—
173#888—31no—
174#888—61no—
175#887—61no—
176#884—21no—
177#884—21no—
178#874C2×D311yescharacteristic
179#870—31no—
180#870—31no—
181#870—31no—
182#870—61no—
183#870—61no—
184#869—31no—
185C4×Dic6—31no—
186C4×Dic6—31no—
187C4×Dic6—61no—
188C4×Dic6C2×D311yescharacteristic
189C4×Dic6C2×D311yescharacteristic
190C3×#107—31no—
191C3×#103—31no—
192C3×#102—31no—
193C3×#97—31no—
194#832—31no—
195#832—31no—
196#832—31no—
197#832—31no—
198#832—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—61no—
205#832—61no—
206#832C2×D311yescharacteristic
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#815—31no—
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214C8×Dic3—31no—
215#810C2×D311yescharacteristic
216#809—31no—
217#809—31no—
218#808—31no—
219#808—31no—
220#808—61no—
221#807—31no—
222#807—31no—
223#807—61no—
224#807C2×D311yescharacteristic
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—
233C23×C32—21no—
234C22×C3×D3—21no—
235C22×C3×D3—21no—
236C32×D4—21no—
237C32×D4—21no—
238C2×C32×C4—21no—
239C2×C32×C4—42no—
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C3×#67—42no—
246C3×#67—42no—
247C3×#67—81no—
248C3×#67—81no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—42no—
260C3×D12—81no—
261C3×C4×D3—42no—
262C3×C4×D3—42no—
263C3×Dic6—21no—
264C3×Dic6—22no—
265C3×Dic6#4112yescomplemented
266#627—42no—
267C3⋊(C3⋊C8)—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271#557—91no—
272#550—31no—
273#490—91no—
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—31no—
284#440—91no—
285C4×SD16—91no—
286C3×#41—124no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C2×C3×D4—21no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C2×C3×D4—61no—
297C2×C3×D4—61no—
298C2×C3×D4C22×D311yescharacteristic
299C2×C3×D4C22×D311yescharacteristic
300C22×C3×C4—21no—
301C22×C3×C4—21no—
302C22×C3×C4—41no—
303C22×C3×C4—61no—
304C22×C3×C4—61no—
305C2×#67—21no—
306C2×#67—21no—
307C2×#67—21no—
308C2×#67—21no—
309#235—44no—
310C2×D12—21no—
311C2×D12—21no—
312C2×D12C22×D311yescharacteristic
313C2×D12C22×D311yescharacteristic
314C2×C4×D3—21no—
315C2×C4×D3—21no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6#6711yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C3×SD16—62no—
321C2×C3×C8—31no—
322C2×C3×C8—31no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C22⋊C4—21no—
332C3×C22⋊C4—21no—
333C3×C22⋊C4—41no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—21no—
337C3×C42—31no—
338C3×C42—31no—
339C3×C42—61no—
340C3×C42C22×D311yescharacteristic
341C3×C42C22×D311yescharacteristic
342#215—62no—
343#215—62no—
344#214—22no—
345#214—62no—
346#214—62no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—21no—
349C4⋊Dic3—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3#6711yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361Dic3⋊C4—21no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—121no—
373Dic3⋊C4—121no—
374Dic3⋊C4#6711yescharacteristic
375Dic3⋊C4#6711yescharacteristic
376C4×Dic3—21no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3C22×D311yescharacteristic
382C4×Dic3C22×D311yescharacteristic
383C2×C3⋊C8—31no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—61no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391C22×C32—41no—
392C22×C32—41no—
393C22×C32—41no—
394C22×C32C22×D411yescharacteristic
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×C4C2×#4111yescharacteristic
405C32×C42−1+411yescharacteristic
406C3⋊Dic3—41no—
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—61no—
415C2×SD16—31no—
416C2×SD16—91no—
417C2×SD16—91no—
418C4⋊Q8—91no—
419C4⋊Q8—181no—
420#127—31no—
421#127—31no—
422#127—31no—
423#125—91no—
424#125—91no—
425#125—181no—
426#125—181no—
427#121—61no—
428#121—61no—
429#121—61no—
430C4×Q8—31no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×Q8—91no—
434C4×Q8—181no—
435C4×D4—31no—
436C4×D4—31no—
437C4×D4D3211yescharacteristic
438#107—31no—
439#107—91no—
440#106—91no—
441C4⋊C8—91no—
442C4⋊C8—91no—
443C4⋊C8—91no—
444#103—31no—
445#102—31no—
446#102—91no—
447#102—91no—
448#102—91no—
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—21no—
458C23×C3—21no—
459C23×C3—41no—
460C23×C3—61no—
461C23×C3—61no—
462C22×D3—21no—
463C22×D3—21no—
464C3×Q8—32no—
465C3×Q8—62no—
466C3×Q8—61no—
467C3×D4—22no—
468C3×D4—21no—
469C3×D4—21no—
470C3×D4—21no—
471C3×D4—21no—
472C3×D4—41no—
473C3×D4—61no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—61no—
477C3×D4—122no—
478C3×D4—122no—
479C3×D4—122no—
480C3×D4—241no—
481C3×D4—241no—
482C3×D4—241no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—41no—
493C2×C3×C4—42no—
494C2×C3×C4—42no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—82no—
498C2×C3×C4—122no—
499C2×C3×C4—122no—
500C2×C3×C4D3×D411yescharacteristic
501C2×C3×C4D3×D411yescharacteristic
502C2×C3×C4C2×#6711yescharacteristic
503C2×C3×C4C2×#6711yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—42no—
507#67—42no—
508#67—81no—
509#67—81no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3C2×#6711yescharacteristic
519C2×Dic3C2×#6711yescharacteristic
520C2×Dic3C2×#6711yescharacteristic
521C2×Dic3C2×#6711yescharacteristic
522D12—21no—
523D12—21no—
524D12—21no—
525D12—21no—
526D12—42no—
527D12—81no—
528C4×D3—42no—
529C4×D3—42no—
530Dic6—21no—
531Dic6—22no—
532Dic6—122no—
533Dic6—122no—
534Dic6#23512yescomplemented
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—81no—
546C2×C32#54811yescharacteristic
547C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
548C2×C32#57711yescharacteristic
549C3×D3—81no—
550C3×D3—81no—
551#41—124no—
552C2×Q8—31no—
553C2×Q8—31no—
554C2×Q8—181no—
555C2×D4—31no—
556C2×D4—31no—
557C2×D4—61no—
558C2×D4—61no—
559C2×D4—61no—
560C2×D4—61no—
561C2×D4—61no—
562C2×D4—61no—
563C2×D4C2×D3211yescharacteristic
564C22×C4—21no—
565C22×C4—61no—
566C22×C4—61no—
567SD16—62no—
568SD16—182no—
569SD16—182no—
570C2×C8—31no—
571C2×C8—31no—
572C2×C8—91no—
573C2×C8—91no—
574C4⋊C4—31no—
575C4⋊C4—31no—
576C4⋊C4—31no—
577C4⋊C4—31no—
578C4⋊C4—61no—
579C4⋊C4—91no—
580C4⋊C4—91no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4C2×D3211yescharacteristic
589C22⋊C4—21no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C42—31no—
593C42—31no—
594C42—61no—
595C42—181no—
596C42—181no—
597C42C2×D3211yescharacteristic
598C22×C3—21no—
599C22×C3—42no—
600C22×C3—41no—
601C22×C3—41no—
602C22×C3—41no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—41no—
606C22×C3—81no—
607C22×C3—81no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3C2×D3×D411yescharacteristic
615C22×C3C22×#6711yescharacteristic
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
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—61no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—62no—
637C3×C4—81no—
638C3×C4—121no—
639C3×C4C2×#23511yescharacteristic
640C3×C4D3×#4111yescharacteristic
641C3×C4#101011yescharacteristic
642C3×C4#101011yescharacteristic
643Dic3—21no—
644Dic3—22no—
645Dic3—21no—
646Dic3—21no—
647Dic3—41no—
648Dic3—121no—
649Dic3—121no—
650Dic3—121no—
651Dic3—121no—
652Dic3—241no—
653Dic3—241no—
654Dic3#93212yes—
655C32#336811yescharacteristic, complemented, Sylow
656C23—21no—
657C23—61no—
658C23—61no—
659Q8—32no—
660Q8—62no—
661Q8—61no—
662Q8—362no—
663D4—21no—
664D4—21no—
665D4—61no—
666D4—61no—
667D4—61no—
668D4—61no—
669D4—122no—
670D4—122no—
671D4—122no—
672D4—241no—
673D4—241no—
674D4—241no—
675C2×C4—21no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—42no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—122no—
684C2×C4—122no—
685C2×C4—181no—
686C2×C4—181no—
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—82no—
698C2×C3—81no—
699C2×C3—81no—
700C2×C3—241no—
701C2×C3—241no—
702C2×C3#555211yescharacteristic
703C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
704C2×C3#577811yescharacteristic
705C2×C3C2×#93211yescharacteristic
706C2×C3#583111yescharacteristic
707C2×C3#583611yescharacteristic
708D3—81no—
709D3—81no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—121no—
714C22—121no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22C2×D3×#6711yescharacteristic
720C4—21no—
721C4—21no—
722C4—32no—
723C4—41no—
724C4—61no—
725C4—62no—
726C4—61no—
727C4—61no—
728C4—121no—
729C4—361no—
730C4—361no—
731C4#6429811yescharacteristic
732C4D3×#23511yescharacteristic
733C3—21no—
734C3#7975211yescharacteristic, complemented
735C3#8358711yescharacteristic, complemented
736C2—81no—
737C2—241no—
738C2—241no—
739C2#1059489911yescharacteristic
740C2D3×#93211yescharacteristic
741C2#1059546411yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radicalC3×#5553C2
hypercenterC4×D4D32
hypocenterC32#3368
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
2. #10593851C2semidirect
3. #10592708C2semidirect
4. C3×#5018C2semidirect
5. #10591487C2semidirect
6. #10591477C2semidirect
7. #10591438C2semidirect
8. #10591438C2semidirect
9. #10590555C2semidirect
10. #10590542C2semidirect
11. #10590478C2semidirect
12. #10590475C2semidirect
13. #10590364C2semidirect
14. #10590275C2semidirect
15. #10590251C2semidirect
77. #5018D3semidirect
265. C3×Dic6#41semidirect
534. Dic6#235semidirect
655. C32#3368semidirect
734. C3#79752semidirect
735. C3#83587semidirect

Maximal subgroups

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

subgroupindex
C3×#55532
#105938512
#105927082
C3×#50182
#105914872
#105914772
#105914382
#105905552
#105905422
#105904782
#105904752
#105903642
#105902752
#105902512
#835873
#797523