Finite Group Databasebeta

← #11876897

Subgroups — #11876897

Order 1152.

795 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5624C211yesmaximal, characteristic, complemented
2#10594949C211yesmaximal, characteristic, complemented
3#10592751C211yesmaximal, characteristic, complemented
4C3×#5049C211yesmaximal, characteristic, complemented
5#10591614C211yesmaximal, characteristic, complemented
6#10591606C211yesmaximal, characteristic, complemented
7#10591566C211yesmaximal, characteristic, complemented
8#10591541C211yesmaximal, characteristic, complemented
9#10591176C211yesmaximal, characteristic, complemented
10#10591167C211yesmaximal, characteristic
11Dic3×#208C211yesmaximal, characteristic, complemented
12#10590590C211yesmaximal, characteristic, complemented
13#10590533C211yesmaximal, characteristic, complemented
14#10590455C211yesmaximal, characteristic, complemented
15#10590413C211yesmaximal, characteristic, complemented
16#83139—31nomaximal
17#80791—31nomaximal
18C32×C22⋊Q8C2211yescharacteristic
19C2×#3756C2211yescharacteristic
20#64133C2211yescharacteristic
21C2×#3748C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C3×#930C2211yescharacteristic
26C3×#930C2211yescharacteristic
27C2×C3×C4×Dic3C2211yescharacteristic
28C2×C3×#208C2211yescharacteristic
29C3×#898—21no—
30C3×#893C2211yescharacteristic
31C3×#892—21no—
32C3×#890C2211yescharacteristic
33C3×#886—21no—
34C3×#67⋊C4—21no—
35Dic3×#67—21no—
36#63961—21no—
37Dic3×D12C2211yescharacteristic
38#63877—21no—
39#63869C2211yescharacteristic
40#63860C2211yescharacteristic
41#63859—21no—
42#63844C2211yescharacteristic
43C2×#3716C2211yescharacteristic
44C2×#3713C2211yescharacteristic
45#63662C2211yescharacteristic
46#63637C2211yescharacteristic
47#63635C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#809C2211yescharacteristic
50C3×#807C2211yescharacteristic
51#63575C2211yescharacteristic
52#63574C2211yescharacteristic
53#63567C2211yescharacteristic
54#63563C2211yescharacteristic
55#63562C2211yescharacteristic
56#63562C2211yescharacteristic
57#63554C2211yescharacteristic
58#63554C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#529—31no—
62#5624D311yescharacteristic, complemented
63#5600—31no—
64#5479—31no—
65C3×#468—31no—
66#5168—31no—
67#5164—31no—
68#5134—31no—
69Dic3×M16—31no—
70#5068—31no—
71#5065—31no—
72#5059—31no—
73#5056—31no—
74#5052—31no—
75#5052—31no—
76#5052—61no—
77#5049D311yescharacteristic, complemented
78#5042—31no—
79#5039—31no—
80#5039—31no—
81#5030—31no—
82#5026—31no—
83#5018—31no—
84#5014—31no—
85C4×#208—31no—
86#4889—31no—
87#4878—31no—
88#4800—31no—
89#4789—31no—
90#4785—31no—
91#4768—31no—
92C2×C32×Q8C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C22×C3×Dic3D411yescharacteristic
98C22×C3×Dic3D411yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×D3×Dic3—21no—
103C32×C4⋊C4—21no—
104C32×C4⋊C4C2311yescharacteristic
105C32×C22⋊C4—21no—
106#3757—21no—
107#3756—22no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109#3750—21no—
110#3748—22no—
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C3×#215—22no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3D411yescharacteristic
126C3×C4×Dic3D411yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C3×#208—22no—
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133#3724—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3716—22no—
140#3713—22no—
141#3183—91noSylow
142C2×C3×SD16—31no—
143C2×C3×M16—31no—
144C3×#126—61no—
145C3×#125—31no—
146C3×#124—31no—
147C3×#123—61no—
148C3×C22⋊Q8—21no—
149C3×C22⋊Q8C2×D311yescharacteristic
150C3×C22⋊Q8C2×D311yescharacteristic
151C3×#121—31no—
152C3×#121—31no—
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155C3×C4×D4—61no—
156C3×#117—61no—
157C2×C3×C42—31no—
158#947C2×D311yescharacteristic
159Q8×Dic3C2×D311yescharacteristic
160C2×#216—31no—
161C2×#216—31no—
162C2×#216—61no—
163C2×#215C2×D311yescharacteristic
164#936—31no—
165#935—61no—
166D4×Dic3—31no—
167D4×Dic3—61no—
168C2×#214—31no—
169C2×#213—31no—
170C2×#213—31no—
171#930C2×D311yescharacteristic
172#930C2×D311yescharacteristic
173#929—61no—
174C4×#67—61no—
175#924—31no—
176#924—31no—
177#924—61no—
178C2×C4×Dic3C2×D311yescharacteristic
179C2×#208—31no—
180C2×#208—31no—
181C2×#208—61no—
182C2×#208C2×D311yescharacteristic
183C2×#204—31no—
184#898—21no—
185#893C2×D311yescharacteristic
186#892—21no—
187#890—31no—
188#890C2×D311yescharacteristic
189#887—31no—
190#886—21no—
191#67⋊C4—21no—
192#879—61no—
193#877—61no—
194#876—61no—
195#875—31no—
196C4×D12—31no—
197#872—61no—
198#870—31no—
199C4×Dic6—31no—
200C3×#107—31no—
201C3×#103—31no—
202C3×#102—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#835C2×D311yescharacteristic
207#832—31no—
208#832—31no—
209#832—31no—
210#821—31no—
211#818—31no—
212#816—31no—
213#815—31no—
214#815—31no—
215C8×Dic3—31no—
216C8×Dic3—31no—
217#810—31no—
218#810—31no—
219#810—31no—
220#810—61no—
221#809—31no—
222#809—31no—
223#809C2×D311yescharacteristic
224#808—31no—
225#808—31no—
226#808—31no—
227#808—31no—
228#808—61no—
229#807—31no—
230#807C2×D311yescharacteristic
231#803—31no—
232#803—31no—
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248#634—21no—
249#634—21no—
250C3×#67—42no—
251C3×#67—42no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—41no—
255C2×C3×Dic3—41no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×D12—21no—
261C3×D12—21no—
262C3×D12—21no—
263C3×D12—21no—
264C3×C4×D3—42no—
265D3×Dic3—42no—
266C3⋊(C3⋊C8)—21no—
267C3⋊(C3⋊C8)#4112yes—
268C3×C3⋊C8—21no—
269C3×C3⋊C8#4112yes—
270#529—31no—
271#529—91no—
272#499—91no—
273#495—91no—
274#488—91no—
275#488—91no—
276#470—91no—
277#469—91no—
278#468—31no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—91no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—21no—
286C2×C3×Q8C22×D311yescharacteristic
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×D4—31no—
289C2×C3×D4—31no—
290C2×C3×D4—61no—
291C2×C3×D4—61no—
292C22×C3×C4—21no—
293C22×C3×C4—31no—
294C22×C3×C4—31no—
295C22×C3×C4—61no—
296C22×C3×C4C22×D311yescharacteristic
297C22×C3×C4C22×D311yescharacteristic
298C2×#67—21no—
299C2×#67—21no—
300C22×Dic3—61no—
301C22×Dic3#6711yescharacteristic
302C22×Dic3#6711yescharacteristic
303C2×D12C22×D311yescharacteristic
304C2×D12C22×D311yescharacteristic
305C2×C4×D3—21no—
306C2×C4×D3—61no—
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—61no—
310C3×SD16—62no—
311C3×M16—62no—
312C2×C3×C8—31no—
313C2×C3×C8—31no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—41no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C22⋊C4—21no—
326C3×C22⋊C4—21no—
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—31no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—121no—
344#216—62no—
345#216—62no—
346#216—122no—
347#215—22no—
348#214—62no—
349#213—62no—
350#213—62no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359C4⋊Dic3—21no—
360C4⋊Dic3—21no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—121no—
376C4×Dic3—21no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3#6711yescharacteristic
380C4×Dic3#6711yescharacteristic
381C4×Dic3C22×D311yescharacteristic
382C4×Dic3C22×D311yescharacteristic
383#208—22no—
384#208—62no—
385#208—62no—
386#208—122no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395#204—62no—
396C22×C32—21no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C2×Q16—91no—
420C2×SD16—31no—
421C2×SD16—91no—
422C2×D8—91no—
423C2×M16—31no—
424C2×M16—91no—
425#126—61no—
426#126—181no—
427#125—31no—
428#125—91no—
429#124—31no—
430#124—91no—
431#123—61no—
432#123—181no—
433C22⋊Q8—91no—
434C22⋊Q8D3211yescharacteristic
435#121—31no—
436#121—31no—
437C4×Q8—31no—
438C4×Q8—91no—
439C4×D4—31no—
440C4×D4—61no—
441C4×D4—91no—
442C4×D4—181no—
443#117—61no—
444#117—181no—
445C2×C42—31no—
446#107—31no—
447#107—91no—
448#106—91no—
449#106—91no—
450#103—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#102—31no—
455#102—91no—
456#102—91no—
457#102—91no—
458#97—91no—
459#97—91no—
460C4×C8—91no—
461C4×C8—91no—
462C23×C3—21no—
463C23×C3—61no—
464C23×C3—61no—
465C23×C3D3×D411yescharacteristic
466C23×C3C2×#6711yescharacteristic
467C22×D3—21no—
468C22×D3—21no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—41no—
474C3×Q8—41no—
475C3×D4—61no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—61no—
479C3×D4—122no—
480C3×D4—122no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—41no—
496C2×C3×C4—41no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—122no—
502C2×C3×C4—121no—
503C2×C3×C4—121no—
504C2×C3×C4D3×D411yescharacteristic
505C2×C3×C4C2×#6711yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—42no—
509#67—42no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—41no—
513C2×Dic3—41no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—122no—
521C2×Dic3C2×#6711yescharacteristic
522C2×Dic3C2×#6711yescharacteristic
523C2×Dic3C2×#6711yescharacteristic
524C2×Dic3C2×#6711yescharacteristic
525D12—21no—
526D12—21no—
527D12—21no—
528D12—21no—
529C4×D3—42no—
530C4×D3—122no—
531Dic6—61no—
532Dic6—61no—
533Dic6—61no—
534Dic6—61no—
535Dic6—121no—
536Dic6—121no—
537C3×C8—32no—
538C3×C8—61no—
539C3⋊C8—21no—
540C3⋊C8—32no—
541C3⋊C8—32no—
542C3⋊C8—62no—
543C3⋊C8—61no—
544C3⋊C8—61no—
545C3⋊C8—121no—
546C3⋊C8#23712yes—
547C2×C32—41no—
548C2×C32#53211yescharacteristic
549C2×C32#57511yescharacteristic
550C2×C32#57511yescharacteristic
551C3×D3—81no—
552C3×D3—81no—
553C2×Q8—91no—
554C2×Q8C2×D3211yescharacteristic
555C2×D4—31no—
556C2×D4—31no—
557C2×D4—61no—
558C2×D4—61no—
559C22×C4—31no—
560C22×C4—31no—
561C22×C4—61no—
562C22×C4—181no—
563C22×C4C2×D3211yescharacteristic
564Q16—182no—
565SD16—62no—
566SD16—182no—
567D8—182no—
568M16—62no—
569M16—182no—
570C2×C8—31no—
571C2×C8—31no—
572C2×C8—91no—
573C2×C8—91no—
574C4⋊C4—21no—
575C4⋊C4—31no—
576C4⋊C4—31no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4—61no—
580C4⋊C4—91no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4C2×D3211yescharacteristic
586C22⋊C4—21no—
587C22⋊C4—61no—
588C22⋊C4—61no—
589C22⋊C4—61no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C42—31no—
597C42—31no—
598C42—31no—
599C42—31no—
600C42—61no—
601C42—181no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3C2×D3×D411yescharacteristic
619C22×C3C22×#6711yescharacteristic
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—81no—
640C3×C4—81no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4C2×#23711yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4D3×#4111yescharacteristic
646C3×C4D3×#4111yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—41no—
652Dic3—41no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—241no—
658Dic3—241no—
659C32#318311yescharacteristic, complemented, Sylow
660C23—61no—
661C23—61no—
662C23D3×#6711yescharacteristic
663Q8—21no—
664Q8—21no—
665Q8—181no—
666Q8—181no—
667D4—61no—
668D4—61no—
669D4—61no—
670D4—61no—
671D4—122no—
672D4—122no—
673C2×C4—21no—
674C2×C4—21no—
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—122no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—181no—
687C2×C4—181no—
688C2×C4—362no—
689C2×C4D3×#6711yescharacteristic
690C2×C4C22×D3211yescharacteristic
691C8—32no—
692C8—61no—
693C8—92no—
694C8—181no—
695C2×C3—21no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—41no—
699C2×C3—41no—
700C2×C3—81no—
701C2×C3—241no—
702C2×C3—241no—
703C2×C3#559611yescharacteristic
704C2×C3#577311yescharacteristic
705C2×C3#577711yescharacteristic
706C2×C3#582211yescharacteristic
707C2×C3#582211yescharacteristic
708C2×C3#583211yescharacteristic
709D3—81no—
710D3—81no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—121no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22C2×D3×#6711yescharacteristic
721C4—21no—
722C4—41no—
723C4—41no—
724C4—61no—
725C4—61no—
726C4—61no—
727C4—61no—
728C4—121no—
729C4—121no—
730C4—361no—
731C4—361no—
732C4D3×#23711yescharacteristic
733C4#6431211yescharacteristic
734C3—21no—
735C3#8079111yescharacteristic, complemented
736C3#8313911yescharacteristic, complemented
737C2—41no—
738C2—241no—
739C2—241no—
740C2#1059515511yescharacteristic
741C2#1059531711yescharacteristic
742C2#1059546911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radical#10591167C2
hypercenterC22⋊Q8D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5624C2semidirect
2. #10594949C2semidirect
3. #10592751C2semidirect
4. C3×#5049C2semidirect
5. #10591614C2semidirect
6. #10591606C2semidirect
7. #10591566C2semidirect
8. #10591541C2semidirect
9. #10591176C2semidirect
11. Dic3×#208C2semidirect
12. #10590590C2semidirect
13. #10590533C2semidirect
14. #10590455C2semidirect
15. #10590413C2semidirect
62. #5624D3semidirect
77. #5049D3semidirect
659. C32#3183semidirect
735. C3#80791semidirect
736. C3#83139semidirect

Maximal subgroups

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

subgroupindex
C3×#56242
#105949492
#105927512
C3×#50492
#105916142
#105916062
#105915662
#105915412
#105911762
#105911672
Dic3×#2082
#105905902
#105905332
#105904552
#105904132
#831393
#807913