Finite Group Databasebeta

← #11865872

Subgroups — #11865872

Order 1152.

1177 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5832C211yesmaximal, characteristic, complemented
2C2×C3×#949C211yesmaximal, characteristic, complemented
3C2×Dic3×D12C211yesmaximal, characteristic, complemented
4C2×#63823C211yesmaximal, characteristic, complemented
5#10592931C211yesmaximal, characteristic, complemented
6#10591567C212yesmaximal, complemented
7#10591564C212yesmaximal, complemented
8#10591431C212yesmaximal, complemented
9#10591428C212yesmaximal, complemented
10#10591115C211yesmaximal, characteristic, complemented
11#10591088C211yesmaximal, characteristic, complemented
12#83931—31nomaximal
13#83297—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×D3×Dic3—21no—
18C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
19C2×#3748C2211yescharacteristic
20C3×#949—24no—
21C3×#947C2211yescharacteristic, complemented
22C3×#944C2211yescharacteristic, complemented
23C2×C3×#215C2212yes—
24C3×#940C2211yescharacteristic, complemented
25C3×#939—21no—
26C3×#939—21no—
27C3×#936C2211yescharacteristic, complemented
28C2×C3×#213C2212yes—
29C3×C4×#67—21no—
30C3×C4×#67—21no—
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C2×(C2×D3)⋊Dic3—21no—
34Dic3×D12—21no—
35Dic3×D12—21no—
36Dic3×D12C2212yes—
37Dic3×D12C2212yes—
38C2×#3715C2212yes—
39#63823—24no—
40C2×#3713C2212yes—
41#63662C2212yescomplemented
42#63659C2212yescomplemented
43Dic3⋊(C3⋊C8)C2212yescomplemented
44Dic3⋊(C3⋊C8)C2212yescomplemented
45#63566C2212yescomplemented
46#63563C2212yescomplemented
47C2×C3×AGL(1,ℤ/8)—31no—
48C3×#532—31no—
49#5832D311yescharacteristic, complemented
50C2×#949—31no—
51C2×#949D311yescharacteristic, complemented
52C2×D4×Dic3—31no—
53C2×#932—31no—
54C2×C4×D12—31no—
55#5232—31no—
56#5232—31no—
57#5232—31no—
58#5232—61no—
59#5165—32no—
60#5162—32no—
61#5153—32no—
62#5150—32no—
63#5133—31no—
64#5118—31no—
65#5083—32no—
66#5072—32no—
67#5057—32no—
68#5057—32no—
69#4924—31no—
70C23×C3×D3—21no—
71C32×#41—22no—
72C32×#41—22no—
73C2×C32×Q8C2311yescharacteristic
74C2×C32×D4—21no—
75C2×C32×D4C2311yescharacteristic
76C22×C32×C4—21no—
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3—21no—
79C2×C3×#67—21no—
80C2×C3×#67—21no—
81C2×C3×#67—21no—
82C22×C3×Dic3D411yescharacteristic
83C22×C3×Dic3D411yescharacteristic
84C3×#235—22no—
85C3×#235—22no—
86C2×C3×D12—21no—
87C2×C3×D12—22no—
88C2×C3×D12D414yescomplemented
89C2×C3×D12C2311yescharacteristic
90C2×C3×D12C2312yes—
91C2×C3×C4×D3—21no—
92C2×C3×Dic6C2311yescharacteristic
93C2×D3×Dic3—22no—
94C2×D3×Dic3—22no—
95C2×D3×Dic3—44no—
96C4⋊(C3⋊Dic3)—21no—
97C4⋊(C3⋊Dic3)C2312yes—
98#3748—22no—
99C2×C3⋊(C3⋊C8)C2312yes—
100C3×#217—21no—
101C3×#217—21no—
102C3×#215—24no—
103C3×#213—24no—
104C3×(C2×D3)⋊C4—21no—
105C3×(C2×D3)⋊C4—21no—
106C3×Dic3⋊C4—21no—
107C3×Dic3⋊C4—21no—
108C3×C4×Dic3D411yescharacteristic
109C3×C4×Dic3D411yescharacteristic
110C3×C4×Dic3C2311yescharacteristic
111C3×C4×Dic3C2311yescharacteristic
112C3×#208—22no—
113C2×C3×C3⋊C8C2312yes—
114(C2×D3)⋊Dic3—22no—
115(C2×D3)⋊Dic3—22no—
116#3715—24no—
117#3713—24no—
118#3036—91noSylow
119C2×C3×#41—21no—
120C2×C3×#41—31no—
121C2×C3×#41C2×D311yescharacteristic
122C2×C3×#41C2×D311yescharacteristic
123C22×C3×D4—31no—
124C23×Dic3—61no—
125C2×#235C2×D311yescharacteristic
126C22×D12C2×D311yescharacteristic
127C22×C4×D3—61no—
128C3×AGL(1,ℤ/8)—64no—
129C2×C3×SD16—32no—
130C2×C3×D8—32no—
131C2×C3×M16—31no—
132C3×C4⋊Q8—31no—
133C3×#127—31no—
134C3×#124—31no—
135C3×#124—31no—
136C3×#121—61no—
137C3×#121—61no—
138C3×C4×D4—61no—
139C3×C4×D4—61no—
140C2×C3×C42—31no—
141C2×#217—61no—
142#949—24no—
143#949—64no—
144#947C2×D311yescharacteristic, complemented
145#944C2×D311yescharacteristic, complemented
146C2×#215—32no—
147C2×#215C2×D312yes—
148#940C2×D311yescharacteristic, complemented
149#939—21no—
150#939—21no—
151#936C2×D311yescharacteristic, complemented
152D4×Dic3—32no—
153D4×Dic3—32no—
154D4×Dic3—61no—
155D4×Dic3—61no—
156C2×#214—32no—
157#932—64no—
158C2×#213—32no—
159C2×#213—32no—
160C2×#213C2×D312yes—
161C4×#67—21no—
162C4×#67—21no—
163C2×(C2×D3)⋊C4—61no—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3—31no—
166C2×C4⋊Dic3—61no—
167C2×C4×Dic3C2×D311yescharacteristic
168C2×#208—31no—
169C2×#208—31no—
170C2×#208—61no—
171C2×#208C2×D311yescharacteristic
172C4×D12—32no—
173C4×D12—32no—
174C4×D12—61no—
175C4×D12—61no—
176#835—32no—
177#835—32no—
178#835—32no—
179#835—62no—
180#832—32no—
181#832—32no—
182#832—32no—
183#832—62no—
184#821—32no—
185#816—32no—
186Dic3⋊C8—32no—
187Dic3⋊C8—32no—
188C4⋊(C3⋊C8)—32no—
189C4⋊(C3⋊C8)—32no—
190C23×C32—21no—
191C23×C32C2×D411yescharacteristic
192C22×C3×D3—24no—
193C22×C3×D3—22no—
194C22×C3×D3—21no—
195C22×C3×D3—42no—
196C22×C3×D3—42no—
197C32×Q8—21no—
198C32×Q8—21no—
199C32×D4—21no—
200C32×D4—21no—
201C32×D4—42no—
202C2×C32×C4—21no—
203C2×C32×C4—42no—
204C2×C32×C4C2×D411yescharacteristic
205C2×C32×C4C2×D412yes—
206C2×C32×C4#4112yes—
207C2×C32×C4C2411yescharacteristic
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—42no—
210C3×#67—42no—
211C3×#67—42no—
212C3×#67—42no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—21no—
215C2×C3×Dic3—41no—
216C2×C3×Dic3C2×D411yescharacteristic
217C2×C3×Dic3C2×D411yescharacteristic
218C2×C3×Dic3C2×D411yescharacteristic
219C2×C3×Dic3C2×D411yescharacteristic
220C3×D12—24no—
221C3×D12—21no—
222C3×D12—22no—
223C3×D12—21no—
224C3×D12C2×D414yes—
225C3×C4×D3—42no—
226C3×Dic6—21no—
227C3×Dic6—21no—
228D3×Dic3—44no—
229D3×Dic3—44no—
230C3⋊(C3⋊C8)—22no—
231C3×C3⋊C8—22no—
232C2×AGL(1,ℤ/8)—31no—
233C2×AGL(1,ℤ/8)—91no—
234#532—31no—
235C2×C4×D4—91no—
236#463—92no—
237#463—92no—
238#461—92no—
239#459—92no—
240#423—91no—
241#417—91no—
242#417—91no—
243C24×C3—61no—
244C23×D3—21no—
245C3×#41—24no—
246C3×#41—22no—
247C3×#41—22no—
248C3×#41—22no—
249C3×#41—22no—
250C3×#41—42no—
251C3×#41—62no—
252C3×#41—62no—
253C2×C3×Q8—21no—
254C2×C3×Q8—31no—
255C2×C3×Q8C22×D311yescharacteristic
256C2×C3×Q8C22×D311yescharacteristic
257C2×C3×D4—21no—
258C2×C3×D4—21no—
259C2×C3×D4—21no—
260C2×C3×D4—34no—
261C2×C3×D4—32no—
262C2×C3×D4—31no—
263C2×C3×D4—41no—
264C2×C3×D4—61no—
265C2×C3×D4—61no—
266C2×C3×D4—61no—
267C2×C3×D4—62no—
268C2×C3×D4—61no—
269C2×C3×D4C22×D311yescharacteristic
270C2×C3×D4C22×D311yescharacteristic
271C22×C3×C4—21no—
272C22×C3×C4—21no—
273C22×C3×C4—21no—
274C22×C3×C4—31no—
275C22×C3×C4—31no—
276C22×C3×C4—41no—
277C22×C3×C4—61no—
278C22×C3×C4C22×D311yescharacteristic
279C22×C3×C4C22×D311yescharacteristic
280C2×#67—21no—
281C2×#67—21no—
282C2×#67—21no—
283C22×Dic3—61no—
284C22×Dic3—61no—
285C22×Dic3—62no—
286C22×Dic3—62no—
287C22×Dic3—121no—
288C22×Dic3—124no—
289C22×Dic3#6711yescharacteristic
290C22×Dic3#6711yescharacteristic
291#235—22no—
292#235—22no—
293C2×D12—21no—
294C2×D12—22no—
295C2×D12#6714yescomplemented
296C2×D12C22×D311yescharacteristic
297C2×D12C22×D312yes—
298C2×C4×D3—21no—
299C2×C4×D3—62no—
300C2×C4×D3—62no—
301C2×C4×D3—124no—
302C2×Dic6C22×D311yescharacteristic
303C3×SD16—64no—
304C3×D8—64no—
305C3×M16—62no—
306C2×C3×C8—32no—
307C3×C4⋊C4—61no—
308C3×C4⋊C4—61no—
309C3×C22⋊C4—61no—
310C3×C22⋊C4—61no—
311C3×C22⋊C4—61no—
312C3×C22⋊C4—61no—
313C3×C42—31no—
314C3×C42—31no—
315C3×C42—31no—
316C3×C42—31no—
317#217—21no—
318#217—21no—
319#217—62no—
320#217—62no—
321#215—24no—
322#215—64no—
323#214—64no—
324#213—24no—
325#213—64no—
326#213—64no—
327(C2×D3)⋊C4—21no—
328(C2×D3)⋊C4—21no—
329(C2×D3)⋊C4—62no—
330(C2×D3)⋊C4—62no—
331C4⋊Dic3—32no—
332C4⋊Dic3—32no—
333C4⋊Dic3—62no—
334C4⋊Dic3—61no—
335C4⋊Dic3—61no—
336C4⋊Dic3—121no—
337Dic3⋊C4—21no—
338Dic3⋊C4—21no—
339C4×Dic3#6711yescharacteristic
340C4×Dic3#6711yescharacteristic
341C4×Dic3C22×D311yescharacteristic
342C4×Dic3C22×D311yescharacteristic
343#208—22no—
344#208—62no—
345#208—62no—
346#208—122no—
347C2×C3⋊C8—32no—
348C2×C3⋊C8—32no—
349C2×C3⋊C8—62no—
350C2×C3⋊C8C22×D312yes—
351C22×C32—21no—
352C22×C32—21no—
353C22×C32—41no—
354C22×C32—41no—
355C22×C32—41no—
356C22×C32#12112yes—
357C22×C32C22×D411yescharacteristic
358C2×C3×D3—24no—
359C2×C3×D3—48no—
360C2×C3×D3—42no—
361C2×C3×D3—42no—
362C2×C3×D3—41no—
363C2×C3×D3—41no—
364C2×C3×D3—41no—
365C32×C4—41no—
366C32×C4#12112yes—
367C32×C4C22×D411yescharacteristic
368C32×C4C2×#4111yescharacteristic
369C3⋊Dic3—42no—
370C3×Dic3—21no—
371C3×Dic3—21no—
372C3×Dic3—21no—
373C3×Dic3—41no—
374C3×Dic3AGL(1,ℤ/8)12yescomplemented
375C2×#41—31no—
376C2×#41D3211yescharacteristic
377C22×D4—31no—
378C23×C4—181no—
379AGL(1,ℤ/8)—64no—
380AGL(1,ℤ/8)—184no—
381C2×SD16—32no—
382C2×SD16—92no—
383C2×D8—32no—
384C2×D8—92no—
385C2×M16—31no—
386C2×M16—91no—
387C4⋊Q8—31no—
388#127—31no—
389#124—31no—
390#124—31no—
391#121—61no—
392#121—61no—
393C4×D4—61no—
394C4×D4—61no—
395C4×D4—92no—
396C4×D4—92no—
397C4×D4—181no—
398C4×D4—181no—
399C2×C4⋊C4—91no—
400C2×C22⋊C4—181no—
401C2×C42—31no—
402C4⋊C8—92no—
403C4⋊C8—92no—
404#103—92no—
405#103—92no—
406#102—92no—
407#102—92no—
408C23×C3—21no—
409C23×C3—21no—
410C23×C3—21no—
411C23×C3—41no—
412C23×C3—64no—
413C23×C3—62no—
414C23×C3—61no—
415C23×C3—122no—
416C23×C3—122no—
417C23×C3D3×D411yescharacteristic
418C23×C3C2×#6711yescharacteristic
419C22×D3—24no—
420C22×D3—22no—
421C22×D3—21no—
422C22×D3—42no—
423C22×D3—42no—
424C3×Q8—22no—
425C3×Q8—21no—
426C3×Q8—21no—
427C3×Q8—21no—
428C3×Q8—21no—
429C3×Q8—41no—
430C3×Q8—61no—
431C3×Q8—61no—
432C3×D4—22no—
433C3×D4—21no—
434C3×D4—21no—
435C3×D4—21no—
436C3×D4—21no—
437C3×D4—34no—
438C3×D4—41no—
439C3×D4—44no—
440C3×D4—42no—
441C3×D4—42no—
442C3×D4—64no—
443C3×D4—62no—
444C3×D4—61no—
445C3×D4—61no—
446C3×D4—122no—
447C3×D4—122no—
448C3×D4—122no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—21no—
455C2×C3×C4—31no—
456C2×C3×C4—31no—
457C2×C3×C4—31no—
458C2×C3×C4—31no—
459C2×C3×C4—41no—
460C2×C3×C4—44no—
461C2×C3×C4—42no—
462C2×C3×C4—42no—
463C2×C3×C4—62no—
464C2×C3×C4—61no—
465C2×C3×C4—121no—
466C2×C3×C4—122no—
467C2×C3×C4D3×D412yes—
468C2×C3×C4D3×D411yescharacteristic
469C2×C3×C4#23712yes—
470C2×C3×C4#23712yes—
471C2×C3×C4C2×#6711yescharacteristic
472C2×C3×C4C2×#6712yes—
473C2×C3×C4C23×D311yescharacteristic
474C2×C3×C4C23×D311yescharacteristic
475#67—42no—
476#67—42no—
477#67—42no—
478C2×Dic3—22no—
479C2×Dic3—21no—
480C2×Dic3—41no—
481C2×Dic3—62no—
482C2×Dic3—62no—
483C2×Dic3—122no—
484C2×Dic3—124no—
485C2×Dic3—122no—
486C2×Dic3—122no—
487C2×Dic3—124no—
488C2×Dic3—242no—
489C2×Dic3C2×#6711yescharacteristic
490C2×Dic3C2×#6711yescharacteristic
491C2×Dic3C2×#6711yescharacteristic
492C2×Dic3C2×#6711yescharacteristic
493D12—24no—
494D12—21no—
495D12—22no—
496D12—21no—
497D12C2×#6714yes—
498C4×D3—42no—
499C4×D3—124no—
500C4×D3—124no—
501Dic6—21no—
502Dic6—21no—
503C3×C8—62no—
504C3⋊C8—22no—
505C3⋊C8—62no—
506C3⋊C8—62no—
507C3⋊C8—122no—
508C2×C32—22no—
509C2×C32—81no—
510C2×C32C2×#12111yescharacteristic
511C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
512C2×C32#57511yescharacteristic
513C3×D3—44no—
514C3×D3—81no—
515C24—61no—
516#41—22no—
517#41—22no—
518#41—62no—
519#41—62no—
520C2×Q8—31no—
521C2×Q8C2×D3211yescharacteristic
522C2×D4—21no—
523C2×D4—32no—
524C2×D4—31no—
525C2×D4—34no—
526C2×D4—61no—
527C2×D4—61no—
528C2×D4—61no—
529C2×D4—62no—
530C2×D4—61no—
531C2×D4C2×D3211yescharacteristic
532C22×C4—21no—
533C22×C4—31no—
534C22×C4—31no—
535C22×C4—61no—
536C22×C4—182no—
537C22×C4—182no—
538C22×C4—181no—
539C22×C4—364no—
540C22×C4C2×D3211yescharacteristic
541SD16—64no—
542SD16—184no—
543D8—64no—
544D8—184no—
545M16—62no—
546M16—182no—
547C2×C8—32no—
548C2×C8—92no—
549C4⋊C4—61no—
550C4⋊C4—61no—
551C4⋊C4—92no—
552C4⋊C4—181no—
553C22⋊C4—61no—
554C22⋊C4—61no—
555C22⋊C4—61no—
556C22⋊C4—61no—
557C22⋊C4—182no—
558C22⋊C4—182no—
559C42—31no—
560C42—31no—
561C42—31no—
562C42—31no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—22no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—42no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—41no—
578C22×C3—64no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3—128no—
582C22×C3—122no—
583C22×C3—122no—
584C22×C3—121no—
585C22×C3—121no—
586C22×C3—121no—
587C22×C3#93812yes—
588C22×C3#93912yes—
589C22×C3C2×D3×D411yescharacteristic
590C22×C3C22×#6711yescharacteristic
591C2×D3—24no—
592C2×D3—48no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—41no—
596C2×D3—41no—
597C2×D3—41no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—22no—
601C3×C4—32no—
602C3×C4—42no—
603C3×C4—41no—
604C3×C4—41no—
605C3×C4—61no—
606C3×C4—61no—
607C3×C4—61no—
608C3×C4—121no—
609C3×C4#93812yes—
610C3×C4#93912yes—
611C3×C4C2×D3×D411yescharacteristic
612C3×C4C2×#23711yescharacteristic
613C3×C4C2×#23711yescharacteristic
614C3×C4C22×#6711yescharacteristic
615Dic3—21no—
616Dic3—21no—
617Dic3—21no—
618Dic3—41no—
619Dic3—122no—
620Dic3—122no—
621Dic3—242no—
622Dic3#94912yescomplemented
623C32#303611yescharacteristic, complemented, Sylow
624C23—21no—
625C23—62no—
626C23—64no—
627C23—61no—
628C23—122no—
629C23—122no—
630C23D3×#6711yescharacteristic
631Q8—21no—
632Q8—21no—
633Q8—61no—
634Q8—61no—
635D4—21no—
636D4—21no—
637D4—34no—
638D4—42no—
639D4—62no—
640D4—61no—
641D4—61no—
642D4—64no—
643D4—122no—
644D4—122no—
645D4—122no—
646C2×C4—21no—
647C2×C4—31no—
648C2×C4—31no—
649C2×C4—31no—
650C2×C4—31no—
651C2×C4—42no—
652C2×C4—62no—
653C2×C4—61no—
654C2×C4—121no—
655C2×C4—122no—
656C2×C4—182no—
657C2×C4—364no—
658C2×C4—364no—
659C2×C4—362no—
660C2×C4#380512yes—
661C2×C4D3×#6712yes—
662C2×C4D3×#6711yescharacteristic
663C2×C4C22×D3211yescharacteristic
664C8—62no—
665C8—182no—
666C2×C3—22no—
667C2×C3—22no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—42no—
672C2×C3—82no—
673C2×C3—81no—
674C2×C3—81no—
675C2×C3—124no—
676C2×C3—241no—
677C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
678C2×C3#577311yescharacteristic
679C2×C3C2×#93811yescharacteristic
680C2×C3C2×#93911yescharacteristic
681C2×C3C2×#94911yescharacteristic
682C2×C3#582211yescharacteristic
683D3—44no—
684D3—81no—
685C22—21no—
686C22—21no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—64no—
691C22—128no—
692C22—122no—
693C22—122no—
694C22—121no—
695C22—121no—
696C22—121no—
697C22#6397012yes—
698C22C2×D3×#6711yescharacteristic
699C4—32no—
700C4—41no—
701C4—61no—
702C4—61no—
703C4—61no—
704C4—121no—
705C4—362no—
706C4#6397012yes—
707C4C2×#380511yescharacteristic
708C4C2×D3×#6711yescharacteristic
709C3—21no—
710C3#8329711yescharacteristic, complemented
711C3#8393111yescharacteristic, complemented
712C2—22no—
713C2—81no—
714C2—124no—
715C2—241no—
716C2D3×#94911yescharacteristic
717C2#1059546911yescharacteristic
718C2C2×#6397011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3036
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C3×#5832C2semidirect
2. C2×C3×#949C2semidirect
3. C2×Dic3×D12C2semidirect
4. C2×#63823C2semidirect
5. #10592931C2semidirect
6. #10591567C2semidirect
7. #10591564C2semidirect
8. #10591431C2semidirect
9. #10591428C2semidirect
10. #10591115C2semidirect
11. #10591088C2semidirect
21. C3×#947C22semidirect
22. C3×#944C22semidirect
24. C3×#940C22semidirect
27. C3×#936C22semidirect
41. #63662C22semidirect
42. #63659C22semidirect
43. Dic3⋊(C3⋊C8)C22semidirect
44. Dic3⋊(C3⋊C8)C22semidirect
45. #63566C22semidirect
46. #63563C22semidirect
49. #5832D3semidirect
51. C2×#949D3semidirect
88. C2×C3×D12D4semidirect
144. #947C2×D3semidirect
145. #944C2×D3semidirect
148. #940C2×D3semidirect
151. #936C2×D3semidirect
295. C2×D12#67semidirect
374. C3×Dic3AGL(1,ℤ/8)semidirect
622. Dic3#949semidirect
623. C32#3036semidirect
710. C3#83297semidirect
711. C3#83931semidirect

Maximal subgroups

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

subgroupindex
C3×#58322
C2×C3×#9492
C2×Dic3×D122
C2×#638232
#105929312
#105915672
#105915642
#105914312
#105914282
#105911152
#105910882
#839313
#832973