Finite Group Databasebeta

← #11895335

Subgroups — #11895335

Order 1152.

775 conjugacy classes of subgroups.

The subgroup lattice has 731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5559C211yesmaximal, characteristic, complemented
2#10593929C211yesmaximal, characteristic, complemented
3#10592708C211yesmaximal, characteristic, complemented
4C3×C4×#213C211yesmaximal, characteristic, complemented
5#10591487C211yesmaximal, characteristic, complemented
6#10591478C211yesmaximal, characteristic, complemented
7#10591431C211yesmaximal, characteristic, complemented
8#10591428C211yesmaximal, characteristic
9#10590557C211yesmaximal, characteristic, complemented
10#10590542C211yesmaximal, characteristic, complemented
11#10590453C211yesmaximal, characteristic, complemented
12#10590452C211yesmaximal, characteristic, complemented
13#10590348C211yesmaximal, characteristic, complemented
14#10590274C211yesmaximal, characteristic, complemented
15C3⋊C8×Dic6C211yesmaximal, characteristic, complemented
16#83713—31nomaximal
17#79569—31nomaximal
18C32×C4×D4C2211yescharacteristic
19#64079C2211yescharacteristic
20C3×#940C2211yescharacteristic
21C3×#936C2211yescharacteristic
22C2×C3×#213C2211yescharacteristic
23C3×#929—21no—
24C3×C4×#67—21no—
25C3×#893C2211yescharacteristic
26C3×#887C2211yescharacteristic
27C3×#885—21no—
28C3×#883—21no—
29C3×#875C2211yescharacteristic
30C3×C4×D12C2211yescharacteristic
31C3×C4×Dic6C2211yescharacteristic
32#63918C2211yescharacteristic
33#63899—21no—
34Dic3×D12C2211yescharacteristic
35Dic3×D12C2211yescharacteristic
36#63887—21no—
37D3×Dic3⋊C4—21no—
38#63869C2211yescharacteristic
39#63851—21no—
40C2×#3715C2211yescharacteristic
41C2×#3713C2211yescharacteristic
42#63659C2211yescharacteristic
43#63659C2211yescharacteristic
44#63635C2211yescharacteristic
45#63634C2211yescharacteristic
46C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#809C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×C4×C3⋊C8C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63566C2211yescharacteristic
54#63566C2211yescharacteristic
55#63565C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#559—31no—
62#5579—31no—
63#5559D311yescharacteristic, complemented
64#5539—31no—
65C3×C4×D8—31no—
66#5153—31no—
67#5150—31no—
68#5072—31no—
69#5070—31no—
70#5057—31no—
71#5057—31no—
72#5056—31no—
73#5056—31no—
74C4×#215—31no—
75Q8×C3⋊C8—31no—
76#5021—31no—
77#5016—31no—
78C4×#213—31no—
79C4×#213D311yescharacteristic, complemented
80#5009—31no—
81#5009—31no—
82#5009—31no—
83#5009—61no—
84#4891—31no—
85#4875—31no—
86#4768—31no—
87#4760—31no—
88#4758—31no—
89#4756—31no—
90#4697—31no—
91C8×Dic6—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×C3×#67—21no—
95C2×C3×#67—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#627—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107C32×C42C2311yescharacteristic
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111#3750—21no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#217—21no—
116C3×#213—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3D411yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136#3715—22no—
137#3713—22no—
138#3361—91noSylow
139C2×C3×D8—31no—
140C3×#127—31no—
141C3×#124—31no—
142C3×#124—31no—
143C3×#124—61no—
144C3×#123—61no—
145C3×#123—61no—
146C3×C4×Q8—31no—
147C3×C4×Q8—31no—
148C3×C4×D4—21no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151C3×C4×D4—61no—
152C3×C4×D4C2×D311yescharacteristic
153C3×C4×D4C2×D311yescharacteristic
154#946—61no—
155C2×#215—31no—
156#940C2×D311yescharacteristic
157#936C2×D311yescharacteristic
158D4×Dic3—31no—
159D4×Dic3—31no—
160C2×#214—31no—
161C2×#213—31no—
162C2×#213—31no—
163C2×#213C2×D311yescharacteristic
164#929—21no—
165C4×#67—21no—
166#924—61no—
167C2×Dic3⋊C4—61no—
168#896—61no—
169#896—61no—
170#893C2×D311yescharacteristic
171D3×C4⋊C4—61no—
172#890—31no—
173#888—31no—
174#887C2×D311yescharacteristic
175#885—21no—
176#883—21no—
177#878—61no—
178#878—61no—
179#875C2×D311yescharacteristic
180C4×D12—31no—
181C4×D12—31no—
182C4×D12C2×D311yescharacteristic
183#870—31no—
184#870—31no—
185#870—31no—
186#870—61no—
187#869—31no—
188C4×Dic6C2×D311yescharacteristic
189C3×#107—31no—
190C3×#102—31no—
191C3×#102—31no—
192C3×C4×C8—31no—
193#835—31no—
194#835—31no—
195#835—31no—
196#832—31no—
197#832—31no—
198#832—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—61no—
204#832—61no—
205#832C2×D311yescharacteristic
206#821—31no—
207#821—31no—
208#816—31no—
209#816—31no—
210Dic3⋊C8—31no—
211Dic3⋊C8—31no—
212C8×Dic3—31no—
213C8×Dic3—31no—
214#810—31no—
215#809—31no—
216#809C2×D311yescharacteristic
217#808—31no—
218#808—31no—
219#808—61no—
220#807—31no—
221#807—31no—
222#807—61no—
223#807C2×D311yescharacteristic
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—61no—
229C4×C3⋊C8—31no—
230C4×C3⋊C8—31no—
231C4×C3⋊C8C2×D311yescharacteristic
232C23×C32—21no—
233C22×C3×D3—21no—
234C22×C3×D3—21no—
235C32×D4—21no—
236C32×D4—21no—
237C2×C32×C4—21no—
238C2×C32×C4—81no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C3×#67—42no—
245C3×#67—81no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×D12—21no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12#4112yes—
256C3×C4×D3—81no—
257C3×C4×D3—81no—
258C3×Dic6—22no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261#627—81no—
262D3×Dic3—42no—
263D3×Dic3—81no—
264C3⋊(C3⋊C8)—21no—
265C3⋊(C3⋊C8)—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#559—31no—
269#554—91no—
270#488—91no—
271#488—91no—
272#486—91no—
273#478—91no—
274#478—91no—
275#477—91no—
276#463—91no—
277#463—91no—
278#459—91no—
279C8×Q8—91no—
280C4×SD16—91no—
281C4×D8—31no—
282C4×D8—91no—
283C2×C3×Q8—31no—
284C2×C3×Q8—31no—
285C2×C3×D4—21no—
286C2×C3×D4—31no—
287C2×C3×D4—31no—
288C2×C3×D4—61no—
289C2×C3×D4—61no—
290C2×C3×D4C22×D311yescharacteristic
291C2×C3×D4C22×D311yescharacteristic
292C22×C3×C4—21no—
293C22×C3×C4—21no—
294C22×C3×C4—41no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C2×#67—21no—
298C2×#67—21no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301C2×D12C22×D311yescharacteristic
302C2×D12C22×D311yescharacteristic
303C2×C4×D3—21no—
304C2×C4×D3—21no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×Dic6—61no—
308C2×Dic6—61no—
309C2×Dic6#6711yescharacteristic
310C2×Dic6C22×D311yescharacteristic
311C3×D8—62no—
312C2×C3×C8—31no—
313C2×C3×C8—31no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4C22×D311yescharacteristic
321C3×C4⋊C4C22×D311yescharacteristic
322C3×C22⋊C4—21no—
323C3×C22⋊C4—21no—
324C3×C22⋊C4—41no—
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C42—21no—
332C3×C42—31no—
333C3×C42—31no—
334C3×C42—61no—
335C3×C42C22×D311yescharacteristic
336C3×C42C22×D311yescharacteristic
337#217—21no—
338#217—21no—
339#217—61no—
340#217—61no—
341#215—62no—
342#214—62no—
343#213—22no—
344#213—62no—
345#213—62no—
346(C2×D3)⋊C4—21no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352C4⋊Dic3—31no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3#6711yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362Dic3⋊C4—21no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—121no—
372Dic3⋊C4—121no—
373Dic3⋊C4#6711yescharacteristic
374Dic3⋊C4#6711yescharacteristic
375C4×Dic3—21no—
376C4×Dic3C22×D311yescharacteristic
377C4×Dic3C22×D311yescharacteristic
378C2×C3⋊C8—31no—
379C2×C3⋊C8—31no—
380C2×C3⋊C8—31no—
381C2×C3⋊C8—31no—
382C2×C3⋊C8—61no—
383C2×C3⋊C8—61no—
384C2×C3⋊C8C22×D311yescharacteristic
385C2×C3⋊C8C22×D311yescharacteristic
386C22×C32—41no—
387C22×C32—41no—
388C22×C32—41no—
389C22×C32C22×D411yescharacteristic
390C2×C3×D3—22no—
391C2×C3×D3—41no—
392C2×C3×D3—41no—
393C2×C3×D3—41no—
394C2×C3×D3—41no—
395C2×C3×D3—41no—
396C32×C4—21no—
397C32×C4—21no—
398C32×C4—41no—
399C32×C4C2×#4111yescharacteristic
400C32×C42−1+411yescharacteristic
401C3⋊Dic3—41no—
402C3⋊Dic3—41no—
403C3×Dic3—21no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3#13512yes—
409C2×SD16—91no—
410C2×D8—31no—
411C2×D8—91no—
412C4⋊Q8—91no—
413#127—31no—
414#125—91no—
415#125—91no—
416#124—31no—
417#124—31no—
418#124—61no—
419#123—61no—
420#123—61no—
421C22⋊Q8—181no—
422C22⋊Q8—181no—
423C22⋊Q8—181no—
424C4×Q8—31no—
425C4×Q8—31no—
426C4×D4—31no—
427C4×D4—31no—
428C4×D4—61no—
429C4×D4—91no—
430C4×D4—91no—
431C4×D4D3211yescharacteristic
432C2×C4⋊C4—181no—
433#107—31no—
434#107—91no—
435#106—91no—
436C4⋊C8—91no—
437C4⋊C8—91no—
438C4⋊C8—91no—
439#103—91no—
440#103—91no—
441#103—91no—
442#102—31no—
443#102—31no—
444#102—91no—
445#102—91no—
446#102—91no—
447#102—91no—
448#102—91no—
449C4×C8—31no—
450C4×C8—91no—
451C4×C8—91no—
452C23×C3—21no—
453C23×C3—21no—
454C23×C3—41no—
455C23×C3—61no—
456C23×C3—61no—
457C22×D3—21no—
458C22×D3—21no—
459C3×Q8—62no—
460C3×Q8—61no—
461C3×Q8—61no—
462C3×D4—22no—
463C3×D4—21no—
464C3×D4—21no—
465C3×D4—21no—
466C3×D4—21no—
467C3×D4—32no—
468C3×D4—41no—
469C3×D4—61no—
470C3×D4—61no—
471C3×D4—61no—
472C3×D4—122no—
473C3×D4—241no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—41no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—81no—
487C2×C3×C4—81no—
488C2×C3×C4—82no—
489C2×C3×C4—241no—
490C2×C3×C4—241no—
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4D3×D411yescharacteristic
493C2×C3×C4C2×#6711yescharacteristic
494C2×C3×C4C2×#6711yescharacteristic
495C2×C3×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497#67—42no—
498#67—81no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—121no—
506C2×Dic3—121no—
507C2×Dic3—122no—
508C2×Dic3—241no—
509C2×Dic3C2×#6711yescharacteristic
510C2×Dic3C2×#6711yescharacteristic
511C2×Dic3C2×#6711yescharacteristic
512C2×Dic3C2×#6711yescharacteristic
513D12—21no—
514D12—21no—
515D12—21no—
516D12#23512yes—
517C4×D3—81no—
518C4×D3—81no—
519C4×D3—122no—
520C4×D3—241no—
521Dic6—22no—
522Dic6—21no—
523Dic6—21no—
524Dic6—241no—
525Dic6—241no—
526C3×C8—61no—
527C3×C8—61no—
528C3⋊C8—21no—
529C3⋊C8—21no—
530C3⋊C8—61no—
531C3⋊C8—61no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—121no—
535C3⋊C8—121no—
536C2×C32—81no—
537C2×C32#54811yescharacteristic
538C2×C32C2×#13511yescharacteristic
539C2×C32#57611yescharacteristic
540C3×D3—42no—
541C3×D3—81no—
542C2×Q8—31no—
543C2×Q8—31no—
544C2×Q8—181no—
545C2×D4—31no—
546C2×D4—31no—
547C2×D4—61no—
548C2×D4—61no—
549C2×D4C2×D3211yescharacteristic
550C22×C4—21no—
551C22×C4—61no—
552C22×C4—61no—
553C22×C4—181no—
554C22×C4—181no—
555SD16—182no—
556D8—62no—
557D8—182no—
558C2×C8—31no—
559C2×C8—31no—
560C2×C8—91no—
561C2×C8—91no—
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—31no—
566C4⋊C4—61no—
567C4⋊C4—91no—
568C4⋊C4—91no—
569C4⋊C4—181no—
570C4⋊C4—181no—
571C4⋊C4—181no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4C2×D3211yescharacteristic
575C22⋊C4—21no—
576C22⋊C4—61no—
577C22⋊C4—61no—
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22⋊C4—61no—
581C22⋊C4—61no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C42—31no—
585C42—31no—
586C42—61no—
587C42C2×D3211yescharacteristic
588C22×C3—21no—
589C22×C3—42no—
590C22×C3—41no—
591C22×C3—41no—
592C22×C3—41no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—62no—
597C22×C3—81no—
598C22×C3—81no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3—121no—
602C22×C3—121no—
603C22×C3—121no—
604C22×C3C2×D3×D411yescharacteristic
605C22×C3C22×#6711yescharacteristic
606C2×D3—22no—
607C2×D3—41no—
608C2×D3—41no—
609C2×D3—41no—
610C2×D3—41no—
611C2×D3—41no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—32no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—61no—
624C3×C4—61no—
625C3×C4—61no—
626C3×C4—81no—
627C3×C4—121no—
628C3×C4—121no—
629C3×C4C2×#23511yescharacteristic
630C3×C4D3×#4111yescharacteristic
631C3×C4#101011yescharacteristic
632C3×C4#101011yescharacteristic
633Dic3—21no—
634Dic3—21no—
635Dic3—21no—
636Dic3—41no—
637Dic3—41no—
638Dic3—121no—
639Dic3—121no—
640Dic3—121no—
641Dic3—121no—
642Dic3—241no—
643Dic3—241no—
644Dic3#95012yes—
645C32#336111yescharacteristic, complemented, Sylow
646C23—21no—
647C23—61no—
648C23—61no—
649Q8—62no—
650Q8—61no—
651Q8—61no—
652Q8—721no—
653D4—21no—
654D4—21no—
655D4—32no—
656D4—61no—
657D4—61no—
658D4—61no—
659D4—122no—
660D4—241no—
661C2×C4—21no—
662C2×C4—31no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—81no—
669C2×C4—181no—
670C2×C4—181no—
671C2×C4—241no—
672C2×C4—241no—
673C2×C4—362no—
674C2×C4—721no—
675C2×C4D3×#6711yescharacteristic
676C2×C4D3×#6711yescharacteristic
677C2×C4C22×D3211yescharacteristic
678C8—61no—
679C8—61no—
680C8—181no—
681C8—181no—
682C2×C3—21no—
683C2×C3—21no—
684C2×C3—21no—
685C2×C3—82no—
686C2×C3—81no—
687C2×C3—81no—
688C2×C3—122no—
689C2×C3—241no—
690C2×C3#555211yescharacteristic
691C2×C3#575711yescharacteristic
692C2×C3D3×#13511yescharacteristic
693C2×C3C2×#95011yescharacteristic
694C2×C3#583111yescharacteristic
695C2×C3#583511yescharacteristic
696D3—42no—
697D3—81no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—62no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—121no—
706C22—121no—
707C22C2×D3×#6711yescharacteristic
708C4—21no—
709C4—21no—
710C4—32no—
711C4—41no—
712C4—61no—
713C4—61no—
714C4—61no—
715C4—121no—
716C4—121no—
717C4—361no—
718C4—361no—
719C4#6429811yescharacteristic
720C4D3×#23511yescharacteristic
721C3—21no—
722C3#7956911yescharacteristic, complemented
723C3#8371311yescharacteristic, complemented
724C2—81no—
725C2—122no—
726C2—241no—
727C2#1059489911yescharacteristic
728C2#1059509611yescharacteristic
729C2D3×#95011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radical#10591428C2
hypercenterC4×D4D32
hypocenterC32#3361
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C3×#5559C2semidirect
2. #10593929C2semidirect
3. #10592708C2semidirect
4. C3×C4×#213C2semidirect
5. #10591487C2semidirect
6. #10591478C2semidirect
7. #10591431C2semidirect
9. #10590557C2semidirect
10. #10590542C2semidirect
11. #10590453C2semidirect
12. #10590452C2semidirect
13. #10590348C2semidirect
14. #10590274C2semidirect
15. C3⋊C8×Dic6C2semidirect
63. #5559D3semidirect
79. C4×#213D3semidirect
645. C32#3361semidirect
722. C3#79569semidirect
723. C3#83713semidirect

Maximal subgroups

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

subgroupindex
C3×#55592
#105939292
#105927082
C3×C4×#2132
#105914872
#105914782
#105914312
#105914282
#105905572
#105905422
#105904532
#105904522
#105903482
#105902742
C3⋊C8×Dic62
#837133
#795693