Finite Group Databasebeta

← #11876894

Subgroups — #11876894

Order 1152.

805 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5600C211yesmaximal, characteristic, complemented
2#10594955C211yesmaximal, characteristic, complemented
3#10592738C211yesmaximal, characteristic
4C3×#5042C211yesmaximal, characteristic, complemented
5#10591478C211yesmaximal, characteristic, complemented
6#10591473C211yesmaximal, characteristic, complemented
7#10591440C211yesmaximal, characteristic, complemented
8#10591404C211yesmaximal, characteristic, complemented
9#10591189C211yesmaximal, characteristic, complemented
10#10591178C211yesmaximal, characteristic, complemented
11Dic3×#208C211yesmaximal, characteristic, complemented
12#10590537C211yesmaximal, characteristic, complemented
13#10590477C211yesmaximal, characteristic, complemented
14#10590457C211yesmaximal, characteristic, complemented
15#10590413C211yesmaximal, characteristic, complemented
16#83139—31nomaximal
17#80791—31nomaximal
18C32×#121C2211yescharacteristic
19C2×#3753C2211yescharacteristic
20#64139C2211yescharacteristic
21C2×#3748C2211yescharacteristic
22C3×#936C2211yescharacteristic
23C3×#935—21no—
24C3×D4×Dic3—21no—
25C3×D4×Dic3C2211yescharacteristic
26C2×C3×#214C2211yescharacteristic
27C3×#924C2211yescharacteristic
28C3×#924C2211yescharacteristic
29C2×C3×C4×Dic3C2211yescharacteristic
30C2×C3×#208C2211yescharacteristic
31C3×#890C2211yescharacteristic
32C3×#887C2211yescharacteristic
33C3×#879—21no—
34C3×#877—21no—
35#63966—21no—
36#63952—21no—
37#63894C2211yescharacteristic
38#63869C2211yescharacteristic
39#63868—21no—
40#63864C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42#63836—21no—
43C2×#3718C2211yescharacteristic
44C2×#3717C2211yescharacteristic
45#63659C2211yescharacteristic
46#63636C2211yescharacteristic
47#63635C2211yescharacteristic
48C3×#832C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×#807C2211yescharacteristic
51#63575C2211yescharacteristic
52#63574C2211yescharacteristic
53#63566C2211yescharacteristic
54#63565C2211yescharacteristic
55#63565C2211yescharacteristic
56#63564C2211yescharacteristic
57#63554C2211yescharacteristic
58#63554C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#529—31no—
62#5624—31no—
63#5600D311yescharacteristic, complemented
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#5049—31no—
77#5042D311yescharacteristic, complemented
78#5039—31no—
79#5039—31no—
80#5039—61no—
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×D4—21no—
93C2×C32×D4C2311yescharacteristic
94C22×C32×C4C2311yescharacteristic
95C2×#638—21no—
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C22×C3×Dic3—21no—
98C22×C3×Dic3D411yescharacteristic
99C22×C3×Dic3D411yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#624—21no—
103C32×C4⋊C4C2311yescharacteristic
104C32×C22⋊C4—21no—
105#3753—22no—
106#3752—21no—
107C4⋊(C3⋊Dic3)C2311yescharacteristic
108#3748—22no—
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#217—21no—
112C3×#217—21no—
113C3×#217—21no—
114C3×#217—21no—
115C3×#217—21no—
116C3×#214—22no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
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—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135#3722—21no—
136#3722—21no—
137#3722—21no—
138Dic32—21no—
139#3718—22no—
140#3717—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—31no—
149C3×C22⋊Q8—31no—
150C3×#121—21no—
151C3×#121C2×D311yescharacteristic
152C3×#121C2×D311yescharacteristic
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155C3×C4×D4—61no—
156C3×#117—61no—
157C2×C3×C42—31no—
158#947—31no—
159Q8×Dic3—31no—
160C2×#216—31no—
161C2×#216—31no—
162C2×#215—31no—
163#936C2×D311yescharacteristic
164#935—21no—
165D4×Dic3—21no—
166D4×Dic3C2×D311yescharacteristic
167C2×#214C2×D311yescharacteristic
168C2×#213—31no—
169C2×#213—31no—
170C2×#213—61no—
171#930—31no—
172#930—31no—
173#930—61no—
174#929—61no—
175C4×#67—61no—
176#924C2×D311yescharacteristic
177#924C2×D311yescharacteristic
178C2×C4×Dic3C2×D311yescharacteristic
179C2×#208—31no—
180C2×#208—31no—
181C2×#208—61no—
182C2×#208C2×D311yescharacteristic
183C2×#204—31no—
184#898—61no—
185#893—31no—
186#892—61no—
187#890—31no—
188#890C2×D311yescharacteristic
189#887C2×D311yescharacteristic
190#886—61no—
191#67⋊C4—61no—
192#879—21no—
193#877—21no—
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—31no—
206#832—31no—
207#832—31no—
208#832—61no—
209#832C2×D311yescharacteristic
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#810C2×D311yescharacteristic
220#809—31no—
221#809—31no—
222#809—31no—
223#809—61no—
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×C32—21no—
236C23×C32C2×D411yescharacteristic
237C22×C3⋊D3—21no—
238C32×D4—21no—
239C32×D4—21no—
240C32×D4—42no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246#638—42no—
247C2×C3⋊Dic3—21no—
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—41no—
255C2×C3×Dic3—41no—
256C2×C3×Dic3—42no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#624—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—31no—
286C2×C3×Q8—31no—
287C2×C3×D4—21no—
288C2×C3×D4—21no—
289C2×C3×D4—21no—
290C2×C3×D4—41no—
291C2×C3×D4C22×D311yescharacteristic
292C2×C3×D4C22×D311yescharacteristic
293C22×C3×C4—21no—
294C22×C3×C4—31no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C22×C3×C4C22×D311yescharacteristic
298C22×C3×C4C22×D311yescharacteristic
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—121no—
302C22×Dic3—21no—
303C22×Dic3#6711yescharacteristic
304C22×Dic3#6711yescharacteristic
305C2×D12—31no—
306C2×D12—31no—
307C2×D12—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×Dic6C22×D311yescharacteristic
311C2×Dic6C22×D311yescharacteristic
312C3×SD16—62no—
313C3×M16—62no—
314C2×C3×C8—31no—
315C2×C3×C8—31no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C22⋊C4—21no—
327C3×C22⋊C4—21no—
328C3×C22⋊C4—41no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42—31no—
338C3×C42—61no—
339#217—21no—
340#217—21no—
341#217—21no—
342#217—21no—
343#217—21no—
344#216—62no—
345#216—62no—
346#215—62no—
347#214—22no—
348#213—62no—
349#213—62no—
350#213—122no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—121no—
360C4⋊Dic3—21no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—21no—
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
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×C32—41no—
400C22×C32—41no—
401C22×C32—41no—
402C22×C32C22×D411yescharacteristic
403C2×C3⋊D3—41no—
404C2×C3⋊D3—41no—
405C2×C3⋊D3—41no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—41no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—41no—
416C3×Dic3—41no—
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—31no—
434C22⋊Q8—31no—
435#121—91no—
436#121D3211yescharacteristic
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—21no—
464C23×C3—21no—
465C23×C3—41no—
466C23×C3D3×D411yescharacteristic
467C23×C3C2×#6711yescharacteristic
468C22×D3—61no—
469C22×D3—61no—
470C22×D3—121no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×Q8—61no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—21no—
478C3×D4—21no—
479C3×D4—41no—
480C3×D4—41no—
481C3×D4—42no—
482C3×D4—42no—
483C3×D4—82no—
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—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—41no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—121no—
504C2×C3×C4—121no—
505C2×C3×C4—122no—
506C2×C3×C4D3×D411yescharacteristic
507C2×C3×C4C2×#6711yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510#67—122no—
511#67—122no—
512#67—242no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—41no—
518C2×Dic3—41no—
519C2×Dic3—42no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—121no—
523C2×Dic3C2×#6711yescharacteristic
524C2×Dic3C2×#6711yescharacteristic
525C2×Dic3C2×#6711yescharacteristic
526C2×Dic3C2×#6711yescharacteristic
527D12—61no—
528D12—61no—
529D12—61no—
530D12—61no—
531D12—121no—
532D12—121no—
533C4×D3—122no—
534C4×D3—122no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539C3×C8—32no—
540C3×C8—61no—
541C3⋊C8—21no—
542C3⋊C8—32no—
543C3⋊C8—32no—
544C3⋊C8—62no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—121no—
548C3⋊C8#23712yes—
549C2×C32—41no—
550C2×C32—81no—
551C2×C32#53211yescharacteristic
552C2×C32#57511yescharacteristic
553C2×C32#57511yescharacteristic
554C3⋊D3—81no—
555C2×Q8—31no—
556C2×Q8—31no—
557C2×D4—21no—
558C2×D4—91no—
559C2×D4—181no—
560C2×D4C2×D3211yescharacteristic
561C22×C4—31no—
562C22×C4—31no—
563C22×C4—61no—
564C22×C4—181no—
565C22×C4C2×D3211yescharacteristic
566Q16—182no—
567SD16—62no—
568SD16—182no—
569D8—182no—
570M16—62no—
571M16—182no—
572C2×C8—31no—
573C2×C8—31no—
574C2×C8—91no—
575C2×C8—91no—
576C4⋊C4—31no—
577C4⋊C4—31no—
578C4⋊C4—61no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—91no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4C2×D3211yescharacteristic
588C22⋊C4—21no—
589C22⋊C4—61no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C42—31no—
599C42—31no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—181no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—21no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3—81no—
621C22×C3—81no—
622C22×C3—81no—
623C22×C3C2×D3×D411yescharacteristic
624C22×C3C22×#6711yescharacteristic
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—121no—
631C2×D3—241no—
632C2×D3—241no—
633C2×D3—241no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—61no—
645C3×C4—81no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C2×#23711yescharacteristic
651C3×C4D3×#4111yescharacteristic
652C3×C4D3×#4111yescharacteristic
653C3×C4D3×#4111yescharacteristic
654Dic3—21no—
655Dic3—21no—
656Dic3—21no—
657Dic3—21no—
658Dic3—41no—
659Dic3—41no—
660Dic3—41no—
661Dic3—41no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665C32#318311yescharacteristic, complemented, Sylow
666C23—21no—
667C23—181no—
668C23D3×#6711yescharacteristic
669Q8—61no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673D4—21no—
674D4—21no—
675D4—42no—
676D4—181no—
677D4—181no—
678D4—362no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—121no—
691C2×C4—121no—
692C2×C4—122no—
693C2×C4—181no—
694C2×C4—362no—
695C2×C4D3×#6711yescharacteristic
696C2×C4C22×D3211yescharacteristic
697C8—32no—
698C8—61no—
699C8—92no—
700C8—181no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—41no—
705C2×C3—41no—
706C2×C3—81no—
707C2×C3—81no—
708C2×C3—81no—
709C2×C3—161no—
710C2×C3#559611yescharacteristic
711C2×C3#577311yescharacteristic
712C2×C3#577711yescharacteristic
713C2×C3#582211yescharacteristic
714C2×C3#582211yescharacteristic
715C2×C3#583211yescharacteristic
716D3—241no—
717D3—241no—
718D3—481no—
719C22—21no—
720C22—21no—
721C22—21no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22C2×D3×#6711yescharacteristic
729C4—21no—
730C4—41no—
731C4—61no—
732C4—61no—
733C4—61no—
734C4—61no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—121no—
739C4—361no—
740C4D3×#23711yescharacteristic
741C4#6431211yescharacteristic
742C3—21no—
743C3#8079111yescharacteristic, complemented
744C3#8313911yescharacteristic, complemented
745C2—41no—
746C2—81no—
747C2—721no—
748C2#1059509511yescharacteristic
749C2#1059515511yescharacteristic
750C2#1059547011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#121C22
socleC22×C32C22×D4
prime radical#10592738C2
hypercenter#121D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C3×#5600C2semidirect
2. #10594955C2semidirect
4. C3×#5042C2semidirect
5. #10591478C2semidirect
6. #10591473C2semidirect
7. #10591440C2semidirect
8. #10591404C2semidirect
9. #10591189C2semidirect
10. #10591178C2semidirect
11. Dic3×#208C2semidirect
12. #10590537C2semidirect
13. #10590477C2semidirect
14. #10590457C2semidirect
15. #10590413C2semidirect
63. #5600D3semidirect
77. #5042D3semidirect
665. C32#3183semidirect
743. C3#80791semidirect
744. C3#83139semidirect

Maximal subgroups

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

subgroupindex
C3×#56002
#105949552
#105927382
C3×#50422
#105914782
#105914732
#105914402
#105914042
#105911892
#105911782
Dic3×#2082
#105905372
#105904772
#105904572
#105904132
#831393
#807913