Finite Group Databasebeta

← #11882270

Subgroups — #11882270

Order 1152.

832 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595368C211yesmaximal, characteristic, complemented
2#10594367C211yesmaximal, characteristic
3#10592490C211yesmaximal, characteristic, complemented
4C3×#4818C211yesmaximal, characteristic, complemented
5C3×#4807C211yesmaximal, characteristic, complemented
6#10591634C211yesmaximal, characteristic, complemented
7#10591622C211yesmaximal, characteristic, complemented
8#10591564C211yesmaximal, characteristic, complemented
9#10590876C211yesmaximal, characteristic, complemented
10#10590829C211yesmaximal, characteristic, complemented
11#10590757C211yesmaximal, characteristic, complemented
12D3×Dic3⋊C8C211yesmaximal, characteristic, complemented
13#10590558C211yesmaximal, characteristic, complemented
14#10590514C211yesmaximal, characteristic, complemented
15#10590497C211yesmaximal, characteristic, complemented
16#80640—31nomaximal
17#80438—31nomaximal
18C2×#3795—21no—
19Q8×C3⋊Dic3C2211yescharacteristic
20#64097C2211yescharacteristic
21C3×#946C2211yescharacteristic
22C3×#944C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C2×C3×#204C2211yescharacteristic
26C2×C3×D3×C8C2211yescharacteristic
27C3×#895C2211yescharacteristic
28C3×#893C2211yescharacteristic
29#63918C2211yescharacteristic
30#63914C2211yescharacteristic
31#63913—21no—
32#63908C2211yescharacteristic
33#63893—21no—
34Dic3×D12C2211yescharacteristic
35#63885—21no—
36#63879—21no—
37#63878—21no—
38C4×D3×Dic3C2211yescharacteristic
39#63856C2211yescharacteristic
40#63845—21no—
41#63843C2211yescharacteristic
42#63838—21no—
43C2×#3715C2211yescharacteristic
44C2×D3×C3⋊C8C2211yescharacteristic
45C32×#103C2211yescharacteristic
46#63662C2211yescharacteristic
47#63644C2211yescharacteristic
48#63641C2211yescharacteristic
49#63635C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#808C2211yescharacteristic
54#63573C2211yescharacteristic
55#63572C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63563C2211yescharacteristic
59#63563C2211yescharacteristic
60#63562C2211yescharacteristic
61#5728—31no—
62#5622—31no—
63#5596—31no—
64#5548—31no—
65C3×#465—31no—
66C3×#461—31no—
67#5171—31no—
68#5171—31no—
69#5163—31no—
70#5163—31no—
71#5163—31no—
72#5162—31no—
73#5114—31no—
74C2×Dic3⋊C8—31no—
75#5083—31no—
76#5048—31no—
77#5041—31no—
78#5008—31no—
79#4870—31no—
80#4854—31no—
81#4842—31no—
82D3×C4⋊C8—31no—
83#4818D311yescharacteristic, complemented
84#4807—31no—
85#4807D311yescharacteristic, complemented
86#4791—31no—
87#4791—31no—
88#4791—31no—
89#4791—61no—
90#4762—31no—
91#4761—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634—21no—
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#625—21no—
102C2×#625—21no—
103C2×#625—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107#3795—44no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#215—41no—
118C3×#215—41no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×#204—41no—
130C3×D3×C8—41no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3715—41no—
141D3×C3⋊C8—41no—
142#3246—91noSylow
143C2×#237—61no—
144C2×#235—61no—
145C2×C3×SD16—31no—
146C2×C3×SD16—31no—
147C2×C3×SD16—31no—
148C22×C3×C8—31no—
149C3×C4⋊Q8—31no—
150C3×C22⋊Q8—31no—
151C3×#121—31no—
152C3×C4×D4—31no—
153#946—31no—
154#946C2×D311yescharacteristic
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158Q8×Dic3—61no—
159#944C2×D311yescharacteristic
160C2×#215—31no—
161C2×#215C2×D311yescharacteristic
162C2×#215C2×D311yescharacteristic
163#940—31no—
164#940—31no—
165#939—61no—
166#938—31no—
167D4×Dic3—31no—
168C2×#214—31no—
169#930—31no—
170C4×#67—61no—
171#924—31no—
172C2×C4×Dic3—31no—
173C22×C3⋊C8—31no—
174C2×#204C2×D311yescharacteristic
175C2×D3×C8—31no—
176C2×D3×C8C2×D311yescharacteristic
177#897—61no—
178#895C2×D311yescharacteristic
179#893C2×D311yescharacteristic
180#892—61no—
181#890—61no—
182#889—61no—
183#888—31no—
184#888—31no—
185#888—31no—
186#888—61no—
187#887—31no—
188#887—61no—
189#887—61no—
190#885—61no—
191#885—61no—
192#884—61no—
193#67⋊C4—61no—
194#878—61no—
195#877—61no—
196C4×D12—31no—
197C42×D3—31no—
198#869—31no—
199C3×#106—31no—
200C3×C4⋊C8—31no—
201C3×#103—21no—
202C3×#103—31no—
203C3×#103C2×D311yescharacteristic
204C3×#103C2×D311yescharacteristic
205C3×#102—31no—
206#835—31no—
207#835—31no—
208#835—31no—
209#835—61no—
210#832—31no—
211#832—31no—
212#832—31no—
213#821—31no—
214#821—31no—
215#821C2×D311yescharacteristic
216#817—31no—
217#817—31no—
218#817—31no—
219#817—61no—
220#816—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227Dic3⋊C8C2×D311yescharacteristic
228#810C2×D311yescharacteristic
229#809—31no—
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
239C32×Q8—21no—
240C32×Q8—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248#634—42no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—42no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264#627—42no—
265#625—42no—
266#625—42no—
267#625—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—91no—
280#475—91no—
281#465—31no—
282#465—91no—
283#465—91no—
284#465—91no—
285#461—31no—
286#461—91no—
287#460—91no—
288#460—91no—
289C2×C4⋊C8—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×D4—31no—
295C2×C3×D4—31no—
296C2×C3×D4—61no—
297C22×C3×C4—31no—
298C22×C3×C4—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—61no—
305C22×Dic3—31no—
306C22×Dic3—31no—
307C22×Dic3—61no—
308#237—124no—
309#235—124no—
310C2×D12—21no—
311C2×D12C22×D311yescharacteristic
312C2×D12C22×D311yescharacteristic
313C2×C4×D3—21no—
314C2×C4×D3—31no—
315C2×C4×D3—31no—
316C2×C4×D3—61no—
317C2×C4×D3C22×D311yescharacteristic
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6C22×D311yescharacteristic
324C3×SD16—121no—
325C3×SD16—121no—
326C3×SD16—121no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—121no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
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×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C42—31no—
344#217—61no—
345#217—61no—
346#217—61no—
347#215—41no—
348#215—41no—
349#215—121no—
350#214—121no—
351(C2×D3)⋊C4—21no—
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—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—121no—
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—121no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—121no—
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8—121no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398#204—41no—
399D3×C8—41no—
400D3×C8—121no—
401C22×C32C22×D411yescharacteristic
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
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⋊Dic3—41no—
418C3⋊Dic3C2×SD1612yes—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3C2×SD1612yes—
424C2×#41—181no—
425C2×SD16—31no—
426C2×SD16—31no—
427C2×SD16—31no—
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—91no—
444C4×Q8—91no—
445C4×Q8—181no—
446C4×D4—31no—
447C4×D4—91no—
448C4×D4—181no—
449#117—181no—
450C2×C42—91no—
451#106—31no—
452#106—91no—
453#106—91no—
454#106—91no—
455C4⋊C8—31no—
456C4⋊C8—91no—
457C4⋊C8—91no—
458C4⋊C8—91no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103D3211yescharacteristic
463#102—31no—
464#102—91no—
465#102—91no—
466#102—91no—
467C23×C3—31no—
468C23×C3—61no—
469C23×C3—61no—
470C22×D3—21no—
471C22×D3—21no—
472C22×D3D3×D411yescharacteristic
473C3×Q8—22no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—41no—
479C3×Q8—61no—
480C3×Q8—61no—
481C3×D4—61no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—122no—
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—41no—
495C2×C3×C4—41no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—122no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—122no—
504#67—122no—
505#67—122no—
506#67—122no—
507#67—122no—
508#67—122no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—34no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—121no—
523C2×Dic3—121no—
524C2×Dic3—121no—
525C2×Dic3—122no—
526C2×Dic3D3×D411yescharacteristic
527C2×Dic3D3×D411yescharacteristic
528C2×Dic3D3×D411yescharacteristic
529D12—21no—
530D12—21no—
531D12—21no—
532D12—21no—
533D12—42no—
534C4×D3—21no—
535C4×D3—21no—
536C4×D3—34no—
537C4×D3—42no—
538C4×D3—121no—
539C4×D3—122no—
540Dic6—21no—
541Dic6—21no—
542Dic6—122no—
543Dic6—122no—
544Dic6—122no—
545Dic6—122no—
546Dic6—242no—
547C3×C8—21no—
548C3×C8—21no—
549C3×C8—41no—
550C3×C8—61no—
551C3×C8—61no—
552C3⋊C8—21no—
553C3⋊C8—21no—
554C3⋊C8—61no—
555C3⋊C8—61no—
556C3⋊C8—121no—
557C2×C32#53711yescharacteristic
558C2×C32C22×SD1611yescharacteristic
559C2×C32#57511yescharacteristic
560C3×D3—22no—
561C3×D3—81no—
562C3×D3—81no—
563#41—364no—
564C2×Q8—31no—
565C2×Q8—181no—
566C2×Q8—181no—
567C2×Q8C2×D3211yescharacteristic
568C2×D4—31no—
569C2×D4—31no—
570C2×D4—61no—
571C2×D4—181no—
572C2×D4—181no—
573C2×D4—181no—
574C22×C4—31no—
575C22×C4—61no—
576C22×C4—91no—
577C22×C4—91no—
578C22×C4—181no—
579SD16—121no—
580SD16—121no—
581SD16—121no—
582SD16—361no—
583C2×C8—31no—
584C2×C8—31no—
585C2×C8—91no—
586C2×C8—121no—
587C2×C8—361no—
588C2×C8C2×D3211yescharacteristic
589C4⋊C4—31no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—91no—
594C4⋊C4—91no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4C2×D3211yescharacteristic
601C22⋊C4—61no—
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C42—31no—
608C42—91no—
609C42—91no—
610C42—91no—
611C42—181no—
612C42—181no—
613C22×C3—21no—
614C22×C3—32no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3C2×D3×D411yescharacteristic
624C22×C3C2×D3×D411yescharacteristic
625C2×D3—21no—
626C2×D3—21no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3D3×SD1612yes—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—32no—
637C3×C4—42no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—81no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4#100411yescharacteristic
648C3×C4#100411yescharacteristic
649C3×C4#101011yescharacteristic
650C3×C4#101011yescharacteristic
651Dic3—21no—
652Dic3—21no—
653Dic3—32no—
654Dic3—32no—
655Dic3—41no—
656Dic3—41no—
657Dic3—62no—
658Dic3—61no—
659Dic3—61no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—241no—
666Dic3—241no—
667Dic3D3×SD1612yes—
668C32#324611yescharacteristic, complemented, Sylow
669C23—31no—
670C23—61no—
671C23—61no—
672Q8—21no—
673Q8—21no—
674Q8—61no—
675Q8—61no—
676Q8—362no—
677Q8—362no—
678D4—61no—
679D4—61no—
680D4—61no—
681D4—61no—
682D4—122no—
683D4—362no—
684D4—362no—
685D4—362no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—31no—
689C2×C4—31no—
690C2×C4—31no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—94no—
696C2×C4—91no—
697C2×C4—91no—
698C2×C4—122no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4—362no—
702C2×C4—361no—
703C2×C4C22×D3211yescharacteristic
704C8—21no—
705C8—61no—
706C8—61no—
707C8—181no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—62no—
712C2×C3—241no—
713C2×C3—241no—
714C2×C3#559711yescharacteristic
715C2×C3#560811yescharacteristic
716C2×C3C2×D3×SD1611yescharacteristic
717C2×C3C2×D3×SD1611yescharacteristic
718C2×C3#576811yescharacteristic
719C2×C3#577711yescharacteristic
720D3—22no—
721D3—81no—
722D3—81no—
723C22—32no—
724C22—61no—
725C22—61no—
726C22—121no—
727C22—121no—
728C22—121no—
729C22—121no—
730C22—121no—
731C22—121no—
732C22D32×D411yescharacteristic
733C4—32no—
734C4—41no—
735C4—41no—
736C4—61no—
737C4—61no—
738C4—92no—
739C4—121no—
740C4—121no—
741C4—181no—
742C4—361no—
743C4—361no—
744C4#6429811yescharacteristic
745C4#6431311yescharacteristic
746C3—21no—
747C3#8043811yescharacteristic, complemented
748C3#8064011yescharacteristic, complemented
749C2—62no—
750C2—241no—
751C2—241no—
752C2#1059406011yescharacteristic
753C2D32×SD1611yescharacteristic
754C2#1059476311yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10594367C2
hypercenter#103D32
hypocenterC32#3246
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595368C2semidirect
3. #10592490C2semidirect
4. C3×#4818C2semidirect
5. C3×#4807C2semidirect
6. #10591634C2semidirect
7. #10591622C2semidirect
8. #10591564C2semidirect
9. #10590876C2semidirect
10. #10590829C2semidirect
11. #10590757C2semidirect
12. D3×Dic3⋊C8C2semidirect
13. #10590558C2semidirect
14. #10590514C2semidirect
15. #10590497C2semidirect
83. #4818D3semidirect
85. #4807D3semidirect
270. D3×Dic3SD16semidirect
668. C32#3246semidirect
747. C3#80438semidirect
748. C3#80640semidirect

Maximal subgroups

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

subgroupindex
#105953682
#105943672
#105924902
C3×#48182
C3×#48072
#105916342
#105916222
#105915642
#105908762
#105908292
#105907572
D3×Dic3⋊C82
#105905582
#105905142
#105904972
#806403
#804383