Finite Group Databasebeta

← #11870607

Subgroups — #11870607

Order 1152.

859 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Dic3×#237C211yesmaximal, characteristic, complemented
2#10594453C211yesmaximal, characteristic, complemented
3#10592455C211yesmaximal, characteristic, complemented
4C3×#4783C211yesmaximal, characteristic, complemented
5C3×#4766C211yesmaximal, characteristic, complemented
6#10591471C211yesmaximal, characteristic, complemented
7#10591452C211yesmaximal, characteristic
8#10591445C211yesmaximal, characteristic, complemented
9#10590818C211yesmaximal, characteristic, complemented
10#10590801C211yesmaximal, characteristic, complemented
11#10590705C211yesmaximal, characteristic, complemented
12#10590656C211yesmaximal, characteristic, complemented
13#10590493C211yesmaximal, characteristic, complemented
14#10590483C211yesmaximal, characteristic, complemented
15#10590447C211yesmaximal, characteristic, complemented
16#81140—31nomaximal
17#80212—31nomaximal
18C2×C3×#237C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20C2×#3753C2211yescharacteristic
21#64102C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×#214C2211yescharacteristic
24C2×C3×Dic12C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29#63955—21no—
30C2×Dic32—21no—
31#63909C2211yescharacteristic
32#63890—21no—
33#63881—21no—
34C4×D3×Dic3C2211yescharacteristic
35#63864C2211yescharacteristic
36#63849—21no—
37#63848—21no—
38#63843C2211yescharacteristic
39#63843C2211yescharacteristic
40Dic3×Dic6C2211yescharacteristic
41#63841C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63648C2211yescharacteristic
45C8×C3⋊Dic3C2211yescharacteristic
46#63634C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63573C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63565C2211yescharacteristic
58#63564C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61Dic3×#41—31no—
62#5691—31no—
63#5624—31no—
64C4×#237—31no—
65C3×#478—31no—
66C3×#452—31no—
67#5238—31no—
68#5185—31no—
69Dic3×Q16—31no—
70#5165—31no—
71Dic3×SD16—31no—
72#5063—31no—
73#5045—31no—
74#5016—31no—
75#4885—31no—
76#4873—31no—
77#4868—31no—
78#4852—31no—
79#4845—31no—
80#4833—31no—
81#4799—31no—
82#4788—31no—
83#4783D311yescharacteristic, complemented
84#4781—31no—
85#4766D311yescharacteristic, complemented
86#4758—31no—
87#4756—31no—
88#4756—31no—
89#4756—61no—
90#4737—31no—
91#4718—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4×C3⋊D3—21no—
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C22×C3×Dic3—21no—
99C3×#237—22no—
100C3×#237—22no—
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#626—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109#3757—21no—
110#3753—22no—
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4×C3⋊Dic3C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#217—21no—
116C3×#214—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×Dic12—22no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130#3722—21no—
131#3722—21no—
132#3722—21no—
133(C2×D3)⋊Dic3—21no—
134Dic32—21no—
135Dic32—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3717—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C3×#125—31no—
147C3×C22⋊Q8—31no—
148C3×C4×D4—31no—
149#947—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153C2×#215—31no—
154D4×Dic3—31no—
155D4×Dic3—31no—
156D4×Dic3—61no—
157D4×Dic3—61no—
158D4×Dic3—61no—
159D4×Dic3C2×D311yescharacteristic
160C2×#214C2×D311yescharacteristic
161C2×#213—31no—
162C2×#213—31no—
163C2×#213—61no—
164#930—31no—
165C4×#67—61no—
166#926—31no—
167#926—61no—
168C2×C4×Dic3—31no—
169C2×C4×Dic3—61no—
170C2×C4×Dic3—61no—
171C2×Dic12C2×D311yescharacteristic
172C2×#204—31no—
173#898—61no—
174#898—61no—
175#897C2×D311yescharacteristic
176#895—31no—
177#894—61no—
178#893—31no—
179#893—31no—
180#893—61no—
181#893—61no—
182#892—31no—
183#892—61no—
184#892—61no—
185#890C2×D311yescharacteristic
186#887—31no—
187#887—31no—
188#886—61no—
189#67⋊C4—61no—
190#67⋊C4—61no—
191#877—61no—
192#875—31no—
193C42×D3—31no—
194C4×Dic6—31no—
195C3×#107—31no—
196C3×#106—31no—
197C3×C4⋊C8—31no—
198C3×#103—31no—
199C3×#102—21no—
200C3×#102—31no—
201C3×#102C2×D311yescharacteristic
202C3×#102C2×D311yescharacteristic
203C3×C22⋊C8—31no—
204#835—31no—
205#835—31no—
206#835—31no—
207#832C2×D311yescharacteristic
208#830—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8C2×D311yescharacteristic
215#818C2×D311yescharacteristic
216#817—31no—
217#816—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8C2×D311yescharacteristic
220C8×Dic3—31no—
221C8×Dic3—31no—
222C8×Dic3—31no—
223C8×Dic3—31no—
224C8×Dic3—61no—
225#810—31no—
226#810—31no—
227#810C2×D311yescharacteristic
228#809—31no—
229#808—31no—
230#808C2×D311yescharacteristic
231#807—31no—
232#807—31no—
233#807—61no—
234C4⋊(C3⋊C8)—31no—
235C23×C32—21no—
236C22×C3⋊D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×D4—21no—
239C32×D4#4112yes—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—42no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C4×C3⋊D3—42no—
249C3×#67—24no—
250C2×C3×Dic3—24no—
251C2×C3×Dic3—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
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
265#626—42no—
266D3×Dic3—22no—
267D3×Dic3—41no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—91no—
274#485—91no—
275#482—91no—
276#479—91no—
277#478—31no—
278#464—91no—
279#463—91no—
280#452—31no—
281#449—91no—
282C4×Q16—91no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—21no—
292C2×C3×D4—61no—
293C2×C3×D4C22×D311yescharacteristic
294C2×C3×D4C22×D311yescharacteristic
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298C2×#67—21no—
299C2×#67—61no—
300C22×Dic3—21no—
301C22×Dic3—21no—
302C22×Dic3—31no—
303C22×Dic3—31no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—121no—
307#237—22no—
308#237—22no—
309C2×D12—31no—
310C2×D12—31no—
311C2×D12—61no—
312C2×D12—61no—
313C2×C4×D3—31no—
314C2×C4×D3—31no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—121no—
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C2×Dic6C22×D311yescharacteristic
321C3×Q16—62no—
322C3×SD16—62no—
323C2×C3×C8—21no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C3×C4⋊C4—21no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C42—31no—
339#217—21no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—121no—
344#215—62no—
345#214—22no—
346#213—64no—
347#213—62no—
348#213—62no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—61no—
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—21no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395Dic12—22no—
396#204—62no—
397C22×C32—22no—
398C22×C32—41no—
399C22×C32—41no—
400C22×C32C22×D411yescharacteristic
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—41no—
412C3⋊Dic3#13512yes—
413C3×Dic3—22no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—31no—
421C2×Q16—31no—
422C2×SD16—31no—
423C2×SD16—91no—
424C2×D8—91no—
425#126—181no—
426#125—31no—
427#124—91no—
428#123—181no—
429C22⋊Q8—31no—
430#121—91no—
431C4×Q8—91no—
432C4×Q8—91no—
433C4×Q8—91no—
434C4×D4—31no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—181no—
438C4×D4—181no—
439C4×D4—181no—
440#117—91no—
441#117—181no—
442#117—181no—
443C2×C42—91no—
444C2×C42—181no—
445#107—31no—
446#107—91no—
447#106—31no—
448#106—91no—
449C4⋊C8—31no—
450C4⋊C8—91no—
451#103—31no—
452#103—91no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—91no—
457#102—91no—
458#102D3211yescharacteristic
459C22⋊C8—31no—
460C22⋊C8—91no—
461C4×C8—91no—
462C4×C8—91no—
463C23×C3—21no—
464C23×C3—21no—
465C23×C3—31no—
466C23×C3—41no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—121no—
470C22×D3D3×D411yescharacteristic
471C3×Q8—32no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×Q8—61no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—22no—
478C3×D4—41no—
479C3×D4—64no—
480C3×D4#23712yes—
481C3×D4#23912yes—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—41no—
489C2×C3×C4—64no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—122no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—24no—
500#67—122no—
501C2×Dic3—24no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—42no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—62no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—122no—
519C2×Dic3—122no—
520C2×Dic3—242no—
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524D12—62no—
525D12—61no—
526D12—61no—
527D12—61no—
528D12—61no—
529D12—121no—
530D12—122no—
531C4×D3—21no—
532C4×D3—21no—
533C4×D3—62no—
534C4×D3—122no—
535C4×D3—122no—
536C4×D3—121no—
537C4×D3—242no—
538Dic6—21no—
539Dic6—21no—
540Dic6—21no—
541Dic6#23712yes—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—41no—
545C3×C8—61no—
546C3×C8—61no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C3⋊C8—62no—
550C3⋊C8—61no—
551C3⋊C8—61no—
552C2×C32—42no—
553C2×C32#52511yescharacteristic
554C2×C32C2×#13511yescharacteristic
555C2×C32#57511yescharacteristic
556C3⋊D3—81no—
557C3×D3—41no—
558#41—62no—
559#41—62no—
560C2×Q8—31no—
561C2×Q8—31no—
562C2×D4—61no—
563C2×D4—91no—
564C2×D4—181no—
565C2×D4C2×D3211yescharacteristic
566C22×C4—31no—
567C22×C4—61no—
568C22×C4—61no—
569C22×C4—91no—
570C22×C4—91no—
571C22×C4—181no—
572C22×C4—181no—
573Q16—62no—
574SD16—62no—
575SD16—182no—
576D8—182no—
577C2×C8—31no—
578C2×C8—31no—
579C2×C8—91no—
580C2×C8C2×D3211yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4C2×D3211yescharacteristic
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—31no—
600C42—91no—
601C42—91no—
602C42—91no—
603C42—181no—
604C42—181no—
605C42—181no—
606C42—181no—
607C22×C3—22no—
608C22×C3—22no—
609C22×C3—21no—
610C22×C3—42no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—81no—
619C22×C3—81no—
620C22×C3C2×D3×D411yescharacteristic
621C22×C3C2×D3×D411yescharacteristic
622C2×D3—21no—
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—122no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—241no—
633C2×D3—241no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—62no—
642C3×C4—81no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4C2×#23711yescharacteristic
647C3×C4C2×#23711yescharacteristic
648C3×C4C2×#23911yescharacteristic
649C3×C4D3×#4111yescharacteristic
650Dic3—21no—
651Dic3—21no—
652Dic3—22no—
653Dic3—21no—
654Dic3—32no—
655Dic3—32no—
656Dic3—41no—
657Dic3—41no—
658Dic3—41no—
659Dic3—62no—
660Dic3—61no—
661Dic3—61no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—241no—
666C32#310211yescharacteristic, complemented, Sylow
667C23—21no—
668C23—31no—
669C23—181no—
670Q8—32no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674D4—21no—
675D4—64no—
676D4—181no—
677D4—181no—
678D4—362no—
679D4#379612yes—
680C2×C4—21no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—64no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—91no—
692C2×C4—91no—
693C2×C4—122no—
694C2×C4—182no—
695C2×C4—181no—
696C2×C4—362no—
697C2×C4—361no—
698C2×C4—362no—
699C2×C4C22×D3211yescharacteristic
700C8—21no—
701C8—61no—
702C8—61no—
703C8—181no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—42no—
708C2×C3—42no—
709C2×C3—82no—
710C2×C3—121no—
711C2×C3#558611yescharacteristic
712C2×C3#562711yescharacteristic
713C2×C3D3×#13511yescharacteristic
714C2×C3D3×#13511yescharacteristic
715C2×C3#577311yescharacteristic
716C2×C3#577711yescharacteristic
717D3—41no—
718D3—242no—
719D3—241no—
720D3—241no—
721C22—22no—
722C22—41no—
723C22—41no—
724C22—61no—
725C22—61no—
726C22—61no—
727C22—361no—
728C22—361no—
729C22—361no—
730C22D32×D411yescharacteristic
731C4—41no—
732C4—61no—
733C4—62no—
734C4—61no—
735C4—61no—
736C4—92no—
737C4—121no—
738C4—121no—
739C4—121no—
740C4—181no—
741C4—361no—
742C4C2×#379611yescharacteristic
743C4D3×#23711yescharacteristic
744C3—21no—
745C3#8021211yescharacteristic, complemented
746C3#8114011yescharacteristic, complemented
747C2—42no—
748C2—121no—
749C2—721no—
750C2#1059405511yescharacteristic
751C2#1059473011yescharacteristic
752C2#1059474411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radical#10591452C2
hypercenter#102D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. Dic3×#237C2semidirect
2. #10594453C2semidirect
3. #10592455C2semidirect
4. C3×#4783C2semidirect
5. C3×#4766C2semidirect
6. #10591471C2semidirect
8. #10591445C2semidirect
9. #10590818C2semidirect
10. #10590801C2semidirect
11. #10590705C2semidirect
12. #10590656C2semidirect
13. #10590493C2semidirect
14. #10590483C2semidirect
15. #10590447C2semidirect
83. #4783D3semidirect
85. #4766D3semidirect
666. C32#3102semidirect
745. C3#80212semidirect
746. C3#81140semidirect

Maximal subgroups

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

subgroupindex
Dic3×#2372
#105944532
#105924552
C3×#47832
C3×#47662
#105914712
#105914522
#105914452
#105908182
#105908012
#105907052
#105906562
#105904932
#105904832
#105904472
#811403
#802123