Finite Group Databasebeta

← #11882272

Subgroups — #11882272

Order 1152.

838 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594385C211yesmaximal, characteristic, complemented
2#10594369C211yesmaximal, characteristic
3#10592569C211yesmaximal, characteristic, complemented
4C3×#4864C211yesmaximal, characteristic, complemented
5C3×#4854C211yesmaximal, characteristic, complemented
6#10590847C211yesmaximal, characteristic, complemented
7#10590799C211yesmaximal, characteristic, complemented
8#10590748C211yesmaximal, characteristic, complemented
9D3×Dic3⋊C8C211yesmaximal, characteristic, complemented
10#10590577C211yesmaximal, characteristic, complemented
11#10590565C211yesmaximal, characteristic, complemented
12#10590549C211yesmaximal, characteristic, complemented
13#10590514C211yesmaximal, characteristic, complemented
14#10590486C211yesmaximal, characteristic, complemented
15#10590472C211yesmaximal, characteristic, complemented
16#81002—31nomaximal
17#80640—31nomaximal
18C2×#3796—21no—
19#64102C2211yescharacteristic
20#64097C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C2×C3×D3×C8C2211yescharacteristic
23C3×#897C2211yescharacteristic
24C3×#895C2211yescharacteristic
25C3×#888C2211yescharacteristic
26C3×#887C2211yescharacteristic
27#63911C2211yescharacteristic
28#63909C2211yescharacteristic
29#63907—21no—
30#63898C2211yescharacteristic
31#63896—21no—
32#63886—21no—
33#63881—21no—
34#63877—21no—
35C4×D3×Dic3C2211yescharacteristic
36#63873C2211yescharacteristic
37#63856C2211yescharacteristic
38#63847—21no—
39#63844—21no—
40Dic3×Dic6C2211yescharacteristic
41C2×#3717C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C2×#3715C2211yescharacteristic
44C2×D3×C3⋊C8C2211yescharacteristic
45C32×#106C2211yescharacteristic
46#63648C2211yescharacteristic
47#63641C2211yescharacteristic
48#63636C2211yescharacteristic
49#63635C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#809C2211yescharacteristic
55C3×#808C2211yescharacteristic
56#63573C2211yescharacteristic
57#63572C2211yescharacteristic
58Dic3⋊(C3⋊C8)C2211yescharacteristic
59#63565C2211yescharacteristic
60#63563C2211yescharacteristic
61#5725—31no—
62#5622—31no—
63#5596—31no—
64#5578—31no—
65C3×#475—31no—
66C3×#465—31no—
67#5163—31no—
68#5162—31no—
69#5114—31no—
70C2×Dic3⋊C8—31no—
71#5094—31no—
72#5048—31no—
73#5041—31no—
74#5027—31no—
75#4870—31no—
76#4870—31no—
77#4870—31no—
78#4870—61no—
79#4864—31no—
80#4864D311yescharacteristic, complemented
81#4854D311yescharacteristic, complemented
82#4848—31no—
83D3×C4⋊C8—31no—
84#4818—31no—
85#4818—31no—
86#4818—31no—
87#4807—31no—
88#4807—31no—
89#4791—31no—
90#4762—31no—
91#4761—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×#634—21no—
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6—21no—
99C2×C3×Dic6C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107#3796—44no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×#204—41no—
127C3×D3×C8—41no—
128#3724—21no—
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132#3722—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32D411yescharacteristic
137Dic32D411yescharacteristic
138#3717—41no—
139#3717—41no—
140#3715—41no—
141D3×C3⋊C8—41no—
142#3246—91noSylow
143C2×#239—61no—
144C2×#237—61no—
145C2×C3×SD16—31no—
146C22×C3×C8—31no—
147C3×C4⋊Q8—31no—
148C3×C22⋊Q8—31no—
149C3×#121—31no—
150C3×C4×Q8—31no—
151#947—61no—
152#946—31no—
153Q8×Dic3—31no—
154#944—31no—
155#944—31no—
156C2×#215—31no—
157C2×#215—31no—
158C2×#215—31no—
159#940—31no—
160#939—61no—
161D4×Dic3—31no—
162C2×#214—31no—
163#930—31no—
164#924—31no—
165C2×C4×Dic3—31no—
166C22×C3⋊C8—31no—
167C2×#204—31no—
168C2×#204—31no—
169C2×#204C2×D311yescharacteristic
170C2×D3×C8—31no—
171C2×D3×C8C2×D311yescharacteristic
172#897C2×D311yescharacteristic
173#896—61no—
174#895—31no—
175#895—61no—
176#895C2×D311yescharacteristic
177#893—31no—
178#893—31no—
179#893—31no—
180#893—61no—
181#893—61no—
182#889—61no—
183#889—61no—
184#888—31no—
185#888—31no—
186#888—61no—
187#888C2×D311yescharacteristic
188#887—61no—
189#887C2×D311yescharacteristic
190#885—61no—
191#67⋊C4—61no—
192#878—61no—
193#877—61no—
194#874—31no—
195#872—61no—
196C42×D3—31no—
197C4×Dic6—31no—
198C4×Dic6—61no—
199C3×#106—21no—
200C3×#106—31no—
201C3×#106C2×D311yescharacteristic
202C3×#106C2×D311yescharacteristic
203C3×C4⋊C8—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×#102—31no—
208#835—31no—
209#832—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214#817—31no—
215#816C2×D311yescharacteristic
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—61no—
222Dic3⋊C8C2×D311yescharacteristic
223#810—31no—
224#810C2×D311yescharacteristic
225#810C2×D311yescharacteristic
226#809—31no—
227#809—31no—
228#809—61no—
229#809C2×D311yescharacteristic
230#808—31no—
231#808—31no—
232#808—31no—
233#808—61no—
234#808C2×D311yescharacteristic
235C4⋊(C3⋊C8)—31no—
236C22×C3⋊D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)—21no—
247C4×C3⋊D3—42no—
248#634—42no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—42no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—42no—
265#626—42no—
266#626—42no—
267#626—42no—
268D3×Dic3—41no—
269D3×Dic3—42no—
270D3×Dic3SD1614yescomplemented
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#533—91no—
276#532—91no—
277#476—91no—
278#476—91no—
279#475—31no—
280#475—91no—
281#465—31no—
282#465—91no—
283#465—91no—
284#465—91no—
285#461—91no—
286#461—91no—
287#460—91no—
288#460—91no—
289C2×C4⋊C8—91no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×Q8—61no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C22×C3×C4—31no—
296C2×#67—61no—
297C2×#67—61no—
298C2×#67—61no—
299C22×Dic3—31no—
300C22×Dic3—31no—
301C22×Dic3—61no—
302#239—124no—
303#237—124no—
304C2×D12—21no—
305C2×D12—31no—
306C2×D12—31no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12C22×D311yescharacteristic
312C2×C4×D3—31no—
313C2×C4×D3—31no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—121no—
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6—21no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×SD16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8—121no—
330C2×C3×C8C22×D311yescharacteristic
331C2×C3×C8C22×D311yescharacteristic
332C3×C4⋊C4—21no—
333C3×C4⋊C4—21no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C42—31no—
345C3×C42—61no—
346#217—61no—
347#217—61no—
348#215—121no—
349#215—121no—
350#215—121no—
351#214—121no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
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—61no—
360(C2×D3)⋊C4—121no—
361C4⋊Dic3—21no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—21no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—121no—
379C4×Dic3—21no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—31no—
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⋊C8—121no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396#204—41no—
397#204—121no—
398#204—121no—
399D3×C8—41no—
400D3×C8—121no—
401C22×C32C22×D411yescharacteristic
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C2×C3⋊D3—41no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3C2×SD1612yes—
411C32×C4—41no—
412C32×C4—41no—
413C32×C4H(5,𝔽2)11yescharacteristic
414C32×C42−1+411yescharacteristic
415C3⋊Dic3—21no—
416C3⋊Dic3—41no—
417C3⋊Dic3C2×SD1612yes—
418C3×Dic3—21no—
419C3×Dic3—21no—
420C3×Dic3—41no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3C2×SD1612yes—
424C2×#41—181no—
425C2×SD16—31no—
426C2×SD16—91no—
427C2×SD16—91no—
428C2×SD16—91no—
429C22×C8—31no—
430C22×C8—91no—
431C4⋊Q8—31no—
432C4⋊Q8—91no—
433C4⋊Q8—91no—
434#127—91no—
435#125—181no—
436#124—181no—
437C22⋊Q8—31no—
438C22⋊Q8—91no—
439C22⋊Q8—181no—
440#121—31no—
441#121—91no—
442#121—181no—
443C4×Q8—31no—
444C4×Q8—91no—
445C4×Q8—181no—
446C4×D4—91no—
447C4×D4—91no—
448C4×D4—181no—
449#117—181no—
450C2×C42—91no—
451#106—31no—
452#106—91no—
453#106—91no—
454#106D3211yescharacteristic
455C4⋊C8—31no—
456C4⋊C8—91no—
457C4⋊C8—91no—
458C4⋊C8—91no—
459#103—31no—
460#103—31no—
461#103—31no—
462#103—91no—
463#102—31no—
464#102—91no—
465#102—91no—
466#102—91no—
467C23×C3—31no—
468C23×C3—61no—
469C22×D3—21no—
470C22×D3—61no—
471C22×D3—61no—
472C22×D3—121no—
473C22×D3D3×D411yescharacteristic
474C3×Q8—61no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×Q8—122no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—122no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—122no—
500#67—122no—
501#67—122no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—31no—
506C2×Dic3—31no—
507C2×Dic3—34no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—121no—
515C2×Dic3—121no—
516C2×Dic3—122no—
517C2×Dic3D3×D411yescharacteristic
518C2×Dic3D3×D411yescharacteristic
519C2×Dic3D3×D411yescharacteristic
520D12—21no—
521D12—21no—
522D12—42no—
523D12—62no—
524D12—61no—
525D12—61no—
526D12—61no—
527D12—61no—
528D12—121no—
529D12—122no—
530D12—122no—
531D12—122no—
532C4×D3—21no—
533C4×D3—21no—
534C4×D3—34no—
535C4×D3—122no—
536C4×D3—122no—
537C4×D3—122no—
538C4×D3—121no—
539C4×D3—242no—
540Dic6—21no—
541Dic6—21no—
542Dic6—21no—
543Dic6—21no—
544Dic6—42no—
545Dic6—122no—
546Dic6—122no—
547Dic6—242no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—41no—
551C3×C8—61no—
552C3×C8—61no—
553C3⋊C8—21no—
554C3⋊C8—21no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—121no—
558C2×C32#53711yescharacteristic
559C2×C32C22×SD1611yescharacteristic
560C2×C32#57511yescharacteristic
561C3⋊D3—81no—
562C3×D3—22no—
563C3×D3—81no—
564#41—364no—
565C2×Q8—31no—
566C2×Q8—31no—
567C2×Q8—61no—
568C2×Q8—181no—
569C2×D4—31no—
570C2×D4—61no—
571C2×D4—91no—
572C2×D4—181no—
573C2×D4—181no—
574C2×D4—181no—
575C22×C4—31no—
576C22×C4—91no—
577C22×C4—91no—
578C22×C4—181no—
579C22×C4—181no—
580SD16—121no—
581SD16—361no—
582SD16—361no—
583SD16—361no—
584C2×C8—31no—
585C2×C8—31no—
586C2×C8—91no—
587C2×C8—121no—
588C2×C8—361no—
589C2×C8C2×D3211yescharacteristic
590C4⋊C4—31no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—91no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4C2×D3211yescharacteristic
601C4⋊C4C2×D3211yescharacteristic
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C42—31no—
609C42—61no—
610C42—91no—
611C42—91no—
612C42—91no—
613C42—181no—
614C22×C3—21no—
615C22×C3—32no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—122no—
629C2×D3—121no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—241no—
636C2×D3—241no—
637C2×D3D3×SD1612yes—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—32no—
641C3×C4—41no—
642C3×C4—41no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—61no—
646C3×C4—61no—
647C3×C4—81no—
648C3×C4—81no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4—121no—
652C3×C4#100411yescharacteristic
653C3×C4#100711yescharacteristic
654C3×C4#100911yescharacteristic
655C3×C4#101011yescharacteristic
656Dic3—21no—
657Dic3—21no—
658Dic3—32no—
659Dic3—32no—
660Dic3—41no—
661Dic3—41no—
662Dic3—41no—
663Dic3—62no—
664Dic3—61no—
665Dic3—61no—
666Dic3—121no—
667Dic3—121no—
668Dic3—121no—
669Dic3—241no—
670Dic3D3×SD1612yes—
671C32#324611yescharacteristic, complemented, Sylow
672C23—31no—
673C23—61no—
674C23—181no—
675Q8—61no—
676Q8—61no—
677Q8—61no—
678Q8—61no—
679Q8—122no—
680Q8—362no—
681D4—61no—
682D4—61no—
683D4—122no—
684D4—181no—
685D4—181no—
686D4—362no—
687D4—362no—
688D4—362no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—31no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—94no—
700C2×C4—91no—
701C2×C4—91no—
702C2×C4—181no—
703C2×C4—362no—
704C2×C4—361no—
705C2×C4—362no—
706C2×C4C22×D3211yescharacteristic
707C8—21no—
708C8—61no—
709C8—61no—
710C8—181no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—62no—
715C2×C3—241no—
716C2×C3#559711yescharacteristic
717C2×C3#562911yescharacteristic
718C2×C3C2×D3×SD1611yescharacteristic
719C2×C3C2×D3×SD1611yescharacteristic
720C2×C3#576811yescharacteristic
721C2×C3#577711yescharacteristic
722D3—22no—
723D3—81no—
724D3—242no—
725D3—241no—
726D3—241no—
727C22—32no—
728C22—61no—
729C22—61no—
730C22—121no—
731C22—121no—
732C22—121no—
733C22—361no—
734C22—361no—
735C22—361no—
736C22D32×D411yescharacteristic
737C4—32no—
738C4—41no—
739C4—41no—
740C4—61no—
741C4—61no—
742C4—92no—
743C4—121no—
744C4—121no—
745C4—121no—
746C4—181no—
747C4—361no—
748C4#6430711yescharacteristic
749C4#6431511yescharacteristic
750C3—21no—
751C3#8064011yescharacteristic, complemented
752C3#8100211yescharacteristic, complemented
753C2—62no—
754C2—241no—
755C2—721no—
756C2#1059436811yescharacteristic
757C2D32×SD1611yescharacteristic
758C2#1059474611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radical#10594369C2
hypercenter#106D32
hypocenterC32#3246
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
1. #10594385C2semidirect
3. #10592569C2semidirect
4. C3×#4864C2semidirect
5. C3×#4854C2semidirect
6. #10590847C2semidirect
7. #10590799C2semidirect
8. #10590748C2semidirect
9. D3×Dic3⋊C8C2semidirect
10. #10590577C2semidirect
11. #10590565C2semidirect
12. #10590549C2semidirect
13. #10590514C2semidirect
14. #10590486C2semidirect
15. #10590472C2semidirect
80. #4864D3semidirect
81. #4854D3semidirect
270. D3×Dic3SD16semidirect
671. C32#3246semidirect
751. C3#80640semidirect
752. C3#81002semidirect

Maximal subgroups

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

subgroupindex
#105943852
#105943692
#105925692
C3×#48642
C3×#48542
#105908472
#105907992
#105907482
D3×Dic3⋊C82
#105905772
#105905652
#105905492
#105905142
#105904862
#105904722
#810023
#806403