Finite Group Databasebeta

← #11867172

Subgroups — #11867172

Order 1152.

1177 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#895C211yesmaximal, characteristic, complemented
2#10595023C211yesmaximal, characteristic, complemented
3C2×#63830C211yesmaximal, characteristic, complemented
4C2×D3×#208C211yesmaximal, characteristic, complemented
5#10592665C211yesmaximal, characteristic, complemented
6C3×#4964C211yesmaximal, characteristic, complemented
7#10591085C211yesmaximal, characteristic, complemented
8#10590588C212yesmaximal, complemented
9#10590586C212yesmaximal, complemented
10#10590578C212yesmaximal, complemented
11#10590576C212yesmaximal, complemented
12#82621—31nomaximal
13#79211—31nomaximal
14C2×#3828C2211yescharacteristic
15C22×C3×D12—21no—
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C2×C32×C4⋊C4C2211yescharacteristic
19C2×#3748C2211yescharacteristic
20C2×C3×(C2×D3)⋊C4—21no—
21C3×#926C2211yescharacteristic
22C2×C3×#208C2211yescharacteristic
23C3×#895—21no—
24C3×#895—21no—
25C3×#895C2212yes—
26C3×#895C2212yes—
27#63977—21no—
28#63966—21no—
29#63909C2211yescharacteristic, complemented
30#63909C2211yescharacteristic, complemented
31C4×#626—21no—
32C4×#626—21no—
33#63857C2211yescharacteristic, complemented
34#63857C2211yescharacteristic, complemented
35#63830—24no—
36C2×#3716C2212yescomplemented
37C2×#3714C2212yescomplemented
38C2×#3711C2212yescomplemented
39D3×#208—24no—
40C2×D3×C3⋊C8C2212yescomplemented
41#63637C2212yescomplemented
42#63636C2212yescomplemented
43C3×#808C2212yescomplemented
44C3×#807C2212yescomplemented
45#63562C2212yescomplemented
46#63562C2212yescomplemented
47C2×C3×#121—31no—
48C2×#932—31no—
49#5791—31no—
50C22×#208—31no—
51C2×#908—31no—
52C2×D3×M16—31no—
53#5524—31no—
54C2×#895D311yescharacteristic, complemented
55C3×#428—31no—
56#5215—31no—
57#5042—32no—
58#5041—32no—
59#5039—32no—
60#5038—32no—
61#5001—31no—
62#4966—31no—
63#4966—31no—
64#4966—61no—
65#4964D311yescharacteristic, complemented
66#4886—32no—
67#4883—32no—
68#4865—32no—
69#4864—32no—
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4—21no—
73C22×C32×C4C2311yescharacteristic
74C2×#638—21no—
75#3828—22no—
76#3828—22no—
77C2×C4⋊(C3⋊D3)C2311yescharacteristic
78C2×C4×C3⋊D3—21no—
79C2×#634C2311yescharacteristic
80C22×C3×Dic3D411yescharacteristic
81C2×C3×D12—22no—
82C2×C3×D12—22no—
83C2×C3×D12—22no—
84C2×C3×D12—22no—
85C2×C3×D12—21no—
86C2×C3×D12—44no—
87C2×C3×D12C2312yes—
88C2×C3×C4×D3—22no—
89C2×C3×C4×D3—22no—
90C2×C3×C4×D3D411yescharacteristic
91C2×C3×C4×D3D411yescharacteristic
92C2×C3×C4×D3C2311yescharacteristic
93C2×C3×C4×D3C2311yescharacteristic
94C2×#626—21no—
95C2×#626—21no—
96C32×C4⋊C4—21no—
97C32×C4⋊C4C2312yes—
98#3748—22no—
99C2×C3⋊(C3⋊C8)C2312yes—
100C3×#217—21no—
101C3×(C2×D3)⋊C4—22no—
102C3×(C2×D3)⋊C4—22no—
103C3×C4⋊Dic3C2311yescharacteristic
104C3×C4⋊Dic3C2311yescharacteristic
105C3×C4×Dic3—21no—
106C3×#208D414yescomplemented
107C2×C3×C3⋊C8C2312yes—
108Dic3⋊Dic3—21no—
109Dic3⋊Dic3—21no—
110#3722—21no—
111#3722—21no—
112(C2×D3)⋊Dic3—21no—
113(C2×D3)⋊Dic3—21no—
114#3716—24no—
115#3714—24no—
116#3711—24no—
117D3×C3⋊C8—24no—
118#3055—91noSylow
119C22×C3×D4—31no—
120C22×C3×D4—61no—
121C23×C3×C4—31no—
122C2×#235—31no—
123C2×#235—31no—
124C2×#235—61no—
125C22×D12—21no—
126C22×D12C2×D311yescharacteristic
127C22×C4×D3C2×D311yescharacteristic
128C2×C3×M16—31no—
129C3×#121—32no—
130C3×#121—32no—
131C3×#121—61no—
132C3×#121—61no—
133C3×#117—31no—
134C2×C3×C4⋊C4—21no—
135C2×C3×C4⋊C4C2×D311yescharacteristic
136C2×C3×C4⋊C4C2×D311yescharacteristic
137C2×C3×C22⋊C4—61no—
138#953—61no—
139C2×#214—32no—
140#932—64no—
141C2×#213—32no—
142#930—31no—
143#930—31no—
144#929—61no—
145C4×#67—61no—
146C4×#67—61no—
147C2×(C2×D3)⋊C4—21no—
148#926C2×D311yescharacteristic
149#924—31no—
150#924—31no—
151C2×#208—31no—
152C2×#208—31no—
153C2×#208—32no—
154C2×#208—61no—
155C2×#208—64no—
156C2×#208C2×D311yescharacteristic
157C22×C3⋊C8—32no—
158#908—64no—
159D3×M16—64no—
160C2×D24—32no—
161C2×#204—32no—
162C2×ΓL(1,𝔽25)—32no—
163C2×D3×C8—32no—
164#897—31no—
165#897—31no—
166#895—21no—
167#895—21no—
168#895—31no—
169#895—31no—
170#895C2×D312yes—
171#895C2×D312yes—
172#886—61no—
173#882—61no—
174C4×D12—61no—
175C4×D12—61no—
176C3×#107—32no—
177C3×#106—32no—
178#832—32no—
179#832—32no—
180#810—32no—
181#810—32no—
182#810—62no—
183#809—32no—
184#809—32no—
185#809—32no—
186#809—32no—
187#809—62no—
188#808C2×D312yescomplemented
189#807C2×D312yescomplemented
190C23×C32C2×D411yescharacteristic
191C22×C3⋊D3—21no—
192C22×C3×D3—22no—
193C22×C3×D3—22no—
194C22×C3×D3—22no—
195C22×C3×D3—41no—
196C22×C3×D3—42no—
197C22×C3×D3—42no—
198C22×C3×D3—42no—
199C22×C3×D3C2×D411yescharacteristic
200C22×C3×D3C2×D411yescharacteristic
201C2×C32×C4—22no—
202C2×C32×C4—42no—
203C2×C32×C4C2×D412yes—
204C2×C32×C4C2×D411yescharacteristic
205C2×C32×C4#4112yes—
206C2×C32×C4C2411yescharacteristic
207#638—42no—
208C2×C3⋊Dic3—21no—
209C4⋊(C3⋊D3)—21no—
210C4⋊(C3⋊D3)—21no—
211C4×C3⋊D3—42no—
212#634—21no—
213#634—21no—
214C2×C3×Dic3—22no—
215C2×C3×Dic3—21no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3C2×D411yescharacteristic
218C2×C3×Dic3C2×D411yescharacteristic
219C3×D12—22no—
220C3×D12—22no—
221C3×D12—44no—
222C3×D12—44no—
223C3×D12—42no—
224C3×C4×D3—22no—
225C3×C4×D3—22no—
226C3×C4×D3—21no—
227C3×C4×D3—21no—
228C3×C4×D3—21no—
229C3×C4×D3—21no—
230#626—42no—
231#626—42no—
232C3⋊(C3⋊C8)—22no—
233C3×C3⋊C8C2×D414yescomplemented
234C2×AGL(1,ℤ/8)—91no—
235C22×M16—91no—
236#525—91no—
237C2×#121—31no—
238#469—92no—
239#468—92no—
240#466—92no—
241#465—92no—
242#428—31no—
243#418—91no—
244#417—91no—
245C24×C3—31no—
246C24×C3—61no—
247C23×D3—21no—
248C23×D3#6711yescharacteristic
249C2×C3×D4—32no—
250C2×C3×D4—62no—
251C2×C3×D4—62no—
252C2×C3×D4—62no—
253C2×C3×D4—61no—
254C2×C3×D4—62no—
255C2×C3×D4—124no—
256C22×C3×C4—21no—
257C22×C3×C4—21no—
258C22×C3×C4—21no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—31no—
263C22×C3×C4—31no—
264C22×C3×C4—41no—
265C22×C3×C4—62no—
266C22×C3×C4—62no—
267C22×C3×C4C22×D311yescharacteristic
268C22×C3×C4C22×D311yescharacteristic
269C2×#67—61no—
270C2×#67—61no—
271C2×#67—61no—
272C2×#67—61no—
273C2×#67—121no—
274C22×Dic3#6711yescharacteristic
275#235—64no—
276#235—62no—
277#235—62no—
278#235—62no—
279#235—62no—
280#235—122no—
281C2×D12—22no—
282C2×D12—22no—
283C2×D12—22no—
284C2×D12—22no—
285C2×D12—21no—
286C2×D12—31no—
287C2×D12—31no—
288C2×D12—44no—
289C2×D12—61no—
290C2×D12—61no—
291C2×D12—61no—
292C2×D12C22×D312yes—
293C2×C4×D3—22no—
294C2×C4×D3—22no—
295C2×C4×D3—61no—
296C2×C4×D3—61no—
297C2×C4×D3—121no—
298C2×C4×D3#6711yescharacteristic
299C2×C4×D3#6711yescharacteristic
300C2×C4×D3C22×D311yescharacteristic
301C2×C4×D3C22×D311yescharacteristic
302C2×Dic6—31no—
303C2×Dic6—31no—
304C2×Dic6—61no—
305C3×M16—34no—
306C2×C3×C8—32no—
307C3×C4⋊C4—21no—
308C3×C4⋊C4—21no—
309C3×C4⋊C4—22no—
310C3×C4⋊C4—31no—
311C3×C4⋊C4—31no—
312C3×C4⋊C4—41no—
313C3×C4⋊C4C22×D312yes—
314C3×C4⋊C4C22×D312yes—
315C3×C22⋊C4—62no—
316C3×C22⋊C4—62no—
317C3×C22⋊C4—61no—
318C3×C42—61no—
319#217—21no—
320#217—61no—
321#217—61no—
322#214—64no—
323#213—64no—
324(C2×D3)⋊C4—22no—
325(C2×D3)⋊C4—22no—
326(C2×D3)⋊C4—61no—
327(C2×D3)⋊C4—61no—
328(C2×D3)⋊C4—61no—
329(C2×D3)⋊C4—61no—
330(C2×D3)⋊C4—61no—
331(C2×D3)⋊C4—61no—
332C4⋊Dic3—61no—
333C4⋊Dic3—61no—
334C4⋊Dic3C22×D311yescharacteristic
335C4⋊Dic3C22×D311yescharacteristic
336Dic3⋊C4—61no—
337Dic3⋊C4—61no—
338C4×Dic3—21no—
339#208—62no—
340#208—62no—
341#208—64no—
342#208—122no—
343#208D1214yescomplemented
344C2×C3⋊C8—32no—
345C2×C3⋊C8—32no—
346C2×C3⋊C8—62no—
347C2×C3⋊C8—64no—
348C2×C3⋊C8C22×D312yes—
349D24—64no—
350#204—64no—
351ΓL(1,𝔽25)—64no—
352D3×C8—64no—
353C22×C32—21no—
354C22×C32—21no—
355C22×C32#12112yes—
356C22×C32C22×D411yescharacteristic
357C2×C3⋊D3—41no—
358C2×C3⋊D3—41no—
359C2×C3⋊D3—41no—
360C2×C3×D3—21no—
361C2×C3×D3—21no—
362C2×C3×D3—21no—
363C2×C3×D3—21no—
364C2×C3×D3—21no—
365C2×C3×D3—44no—
366C2×C3×D3—42no—
367C2×C3×D3—42no—
368C2×C3×D3—42no—
369C2×C3×D3—84no—
370C2×C3×D3AGL(1,ℤ/8)12yescomplemented
371C32×C4—42no—
372C32×C4#12112yes—
373C32×C4C22×D411yescharacteristic
374C32×C4C2×#4111yescharacteristic
375C3⋊Dic3—41no—
376C3×Dic3—21no—
377C3×Dic3—21no—
378C3×Dic3—41no—
379C3×Dic3—41no—
380C2×#41—91no—
381C22×D4—31no—
382C22×D4—61no—
383C23×C4—31no—
384AGL(1,ℤ/8)—184no—
385C2×SD16—92no—
386C2×D8—92no—
387C2×M16—31no—
388C2×M16—92no—
389C2×M16—91no—
390C2×M16—184no—
391C22×C8—92no—
392#123—181no—
393C22⋊Q8—91no—
394C22⋊Q8—91no—
395#121—32no—
396#121—32no—
397#121—61no—
398#121—61no—
399#121—91no—
400#121—91no—
401#120—181no—
402C4×D4—181no—
403C4×D4—181no—
404#117—31no—
405C2×C4⋊C4D3211yescharacteristic
406C2×C22⋊C4—61no—
407#107—32no—
408#106—32no—
409#103—92no—
410#102—92no—
411#102—92no—
412#102—92no—
413C23×C3—21no—
414C23×C3—31no—
415C23×C3—31no—
416C23×C3—62no—
417C23×C3—62no—
418C23×C3—62no—
419C23×C3—121no—
420C23×C3—122no—
421C23×C3—122no—
422C23×C3—122no—
423C23×C3D3×D411yescharacteristic
424C23×C3C2×#6711yescharacteristic
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—22no—
428C22×D3—41no—
429C22×D3—42no—
430C22×D3—42no—
431C22×D3—42no—
432C22×D3—61no—
433C22×D3—61no—
434C22×D3—121no—
435C22×D3C2×#6711yescharacteristic
436C22×D3C2×#6711yescharacteristic
437C3×D4—62no—
438C3×D4—62no—
439C3×D4—124no—
440C3×D4—124no—
441C3×D4—122no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—21no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—21no—
448C2×C3×C4—31no—
449C2×C3×C4—31no—
450C2×C3×C4—42no—
451C2×C3×C4—42no—
452C2×C3×C4—42no—
453C2×C3×C4—62no—
454C2×C3×C4—62no—
455C2×C3×C4—62no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4—61no—
460C2×C3×C4—61no—
461C2×C3×C4—61no—
462C2×C3×C4—82no—
463C2×C3×C4C2×D1212yes—
464C2×C3×C4D3×D412yes—
465C2×C3×C4D3×D411yescharacteristic
466C2×C3×C4#23712yes—
467C2×C3×C4#23912yes—
468C2×C3×C4C2×#6711yescharacteristic
469C2×C3×C4C23×D311yescharacteristic
470C2×C3×C4C23×D311yescharacteristic
471#67—122no—
472#67—122no—
473#67—124no—
474#67—122no—
475#67—122no—
476C2×Dic3—22no—
477C2×Dic3—21no—
478C2×Dic3—21no—
479C2×Dic3—61no—
480C2×Dic3—61no—
481C2×Dic3—121no—
482C2×Dic3C2×#6711yescharacteristic
483C2×Dic3C2×#6711yescharacteristic
484D12—22no—
485D12—22no—
486D12—44no—
487D12—44no—
488D12—42no—
489D12—62no—
490D12—61no—
491D12—61no—
492D12—61no—
493D12—61no—
494D12—121no—
495D12—122no—
496D12—122no—
497C4×D3—22no—
498C4×D3—22no—
499C4×D3—21no—
500C4×D3—21no—
501C4×D3—21no—
502C4×D3—21no—
503C4×D3—124no—
504C4×D3—122no—
505C4×D3—122no—
506Dic6—62no—
507Dic6—61no—
508Dic6—61no—
509Dic6—61no—
510Dic6—61no—
511Dic6—121no—
512C3×C8—34no—
513C3⋊C8—62no—
514C3⋊C8—62no—
515C3⋊C8—122no—
516C3⋊C8C2×D1214yescomplemented
517C2×C32—22no—
518C2×C32C2×#12111yescharacteristic
519C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
520C2×C32#57511yescharacteristic
521C3⋊D3—81no—
522C3×D3—22no—
523C3×D3—41no—
524C3×D3—82no—
525C24—31no—
526C24—61no—
527#41—182no—
528#41—182no—
529C2×Q8—91no—
530C2×D4—32no—
531C2×D4—62no—
532C2×D4—62no—
533C2×D4—62no—
534C2×D4—62no—
535C2×D4—61no—
536C2×D4—91no—
537C2×D4—124no—
538C2×D4—181no—
539C2×D4—181no—
540C2×D4—181no—
541C22×C4—21no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—31no—
545C22×C4—31no—
546C22×C4—31no—
547C22×C4—62no—
548C22×C4—62no—
549C22×C4—181no—
550C22×C4C2×D3211yescharacteristic
551SD16—184no—
552D8—184no—
553M16—34no—
554M16—184no—
555M16—182no—
556C2×C8—32no—
557C2×C8—92no—
558C2×C8—184no—
559C4⋊C4—21no—
560C4⋊C4—31no—
561C4⋊C4—31no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C4⋊C4C2×D3212yes—
565C22⋊C4—62no—
566C22⋊C4—62no—
567C22⋊C4—61no—
568C22⋊C4—181no—
569C22⋊C4—181no—
570C22⋊C4—181no—
571C22⋊C4—181no—
572C42—61no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—21no—
576C22×C3—21no—
577C22×C3—21no—
578C22×C3—22no—
579C22×C3—32no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—61no—
583C22×C3—61no—
584C22×C3—61no—
585C22×C3—61no—
586C22×C3—61no—
587C22×C3—124no—
588C22×C3—122no—
589C22×C3—122no—
590C22×C3—122no—
591C22×C3—244no—
592C22×C3#89512yes—
593C22×C3#93912yes—
594C22×C3C2×D3×D411yescharacteristic
595C22×C3C22×#6711yescharacteristic
596C2×D3—21no—
597C2×D3—21no—
598C2×D3—21no—
599C2×D3—21no—
600C2×D3—21no—
601C2×D3—44no—
602C2×D3—42no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—84no—
606C2×D3—122no—
607C2×D3—121no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—121no—
611C2×D3—121no—
612C2×D3—121no—
613C2×D3—241no—
614C2×D3—241no—
615C2×D3#93212yescomplemented
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—22no—
619C3×C4—42no—
620C3×C4—42no—
621C3×C4—61no—
622C3×C4—61no—
623C3×C4—82no—
624C3×C4—121no—
625C3×C4—121no—
626C3×C4#89512yes—
627C3×C4#93912yes—
628C3×C4C22×D1211yescharacteristic
629C3×C4C2×D3×D411yescharacteristic
630C3×C4C2×#23711yescharacteristic
631C3×C4C2×#23911yescharacteristic
632Dic3—21no—
633Dic3—21no—
634Dic3—41no—
635Dic3—41no—
636Dic3—122no—
637Dic3—121no—
638Dic3—121no—
639C32#305511yescharacteristic, complemented, Sylow
640C23—31no—
641C23—31no—
642C23—62no—
643C23—62no—
644C23—62no—
645C23—121no—
646C23—122no—
647C23—122no—
648C23—122no—
649C23—181no—
650C23D3×#6711yescharacteristic
651Q8—181no—
652Q8—181no—
653D4—62no—
654D4—62no—
655D4—124no—
656D4—124no—
657D4—122no—
658D4—181no—
659D4—181no—
660D4—362no—
661D4—362no—
662D4—362no—
663C2×C4—22no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—42no—
667C2×C4—62no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—181no—
677C2×C4—362no—
678C2×C4#379612yes—
679C2×C4D3×D1212yes—
680C2×C4D3×#6711yescharacteristic
681C2×C4C22×D3211yescharacteristic
682C8—34no—
683C8—182no—
684C2×C3—22no—
685C2×C3—22no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—21no—
689C2×C3—42no—
690C2×C3—62no—
691C2×C3—121no—
692C2×C3—242no—
693C2×C3C2×#89511yescharacteristic
694C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
695C2×C3#577711yescharacteristic
696C2×C3C2×#93211yescharacteristic
697C2×C3C2×#93911yescharacteristic
698C2×C3#582211yescharacteristic
699D3—22no—
700D3—41no—
701D3—82no—
702D3—242no—
703D3—241no—
704D3—241no—
705C22—21no—
706C22—21no—
707C22—32no—
708C22—61no—
709C22—61no—
710C22—61no—
711C22—61no—
712C22—61no—
713C22—124no—
714C22—122no—
715C22—122no—
716C22—122no—
717C22—244no—
718C22—361no—
719C22—361no—
720C22—361no—
721C22#6388612yes—
722C22C2×D3×#6711yescharacteristic
723C4—42no—
724C4—61no—
725C4—61no—
726C4—121no—
727C4—121no—
728C4—361no—
729C4#6388612yes—
730C4C2×#379611yescharacteristic
731C4C2×D3×D1211yescharacteristic
732C3—21no—
733C3#7921111yescharacteristic, complemented
734C3#8262111yescharacteristic, complemented
735C2—22no—
736C2—62no—
737C2—121no—
738C2—242no—
739C2—721no—
740C2C2×#6388611yescharacteristic
741C2D3×#93211yescharacteristic
742C2#1059531711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×C4⋊C4C22
socleC22×C32C22×D4
hypercenterC2×C4⋊C4D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#895C2semidirect
2. #10595023C2semidirect
3. C2×#63830C2semidirect
4. C2×D3×#208C2semidirect
5. #10592665C2semidirect
6. C3×#4964C2semidirect
7. #10591085C2semidirect
8. #10590588C2semidirect
9. #10590586C2semidirect
10. #10590578C2semidirect
11. #10590576C2semidirect
29. #63909C22semidirect
30. #63909C22semidirect
33. #63857C22semidirect
34. #63857C22semidirect
36. C2×#3716C22semidirect
37. C2×#3714C22semidirect
38. C2×#3711C22semidirect
40. C2×D3×C3⋊C8C22semidirect
41. #63637C22semidirect
42. #63636C22semidirect
43. C3×#808C22semidirect
44. C3×#807C22semidirect
45. #63562C22semidirect
46. #63562C22semidirect
54. C2×#895D3semidirect
65. #4964D3semidirect
106. C3×#208D4semidirect
188. #808C2×D3semidirect
189. #807C2×D3semidirect
233. C3×C3⋊C8C2×D4semidirect
343. #208D12semidirect
370. C2×C3×D3AGL(1,ℤ/8)semidirect
516. C3⋊C8C2×D12semidirect
615. C2×D3#932semidirect
639. C32#3055semidirect
733. C3#79211semidirect
734. C3#82621semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8952
#105950232
C2×#638302
C2×D3×#2082
#105926652
C3×#49642
#105910852
#105905882
#105905862
#105905782
#105905762
#826213
#792113