Finite Group Databasebeta

← #11867160

Subgroups — #11867160

Order 1152.

1191 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×#938C211yesmaximal, characteristic, complemented
2C2×C3×#932C211yesmaximal, characteristic, complemented
3#10595022C211yesmaximal, characteristic, complemented
4C2×D3×#208C211yesmaximal, characteristic, complemented
5#10592914C211yesmaximal, characteristic, complemented
6#10591502C212yesmaximal, complemented
7#10591499C212yesmaximal, complemented
8#10591498C212yesmaximal, complemented
9#10591451C212yesmaximal, complemented
10#10591130C211yesmaximal, characteristic, complemented
11#10591087C211yesmaximal, characteristic, complemented
12#83950—31nomaximal
13#82621—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C22×C3×#67—21no—
16C2×C3×#235C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18#64135C2211yescharacteristic
19C2×#3748C2211yescharacteristic
20C2×C3×#217—21no—
21C3×#938—21no—
22C3×#938—21no—
23C3×#938C2212yes—
24C3×#938C2212yes—
25C2×C3×#214C2212yescomplemented
26C3×#932—24no—
27C2×C3×#213C2212yescomplemented
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×#208C2211yescharacteristic
30#63976—21no—
31#63961—21no—
32#63908C2211yescharacteristic, complemented
33#63908C2211yescharacteristic, complemented
34C4×#625—21no—
35C4×#625—21no—
36#63856C2211yescharacteristic, complemented
37#63856C2211yescharacteristic, complemented
38C2×#3711C2212yescomplemented
39D3×#208—24no—
40C2×D3×C3⋊C8C2212yescomplemented
41#63659C2212yescomplemented
42#63659C2212yescomplemented
43#63575C2212yescomplemented
44#63573C2212yescomplemented
45#63565C2212yescomplemented
46#63562C2212yescomplemented
47C2×C3×AGL(1,ℤ/8)—31no—
48C2×C3×#121—31no—
49#5828—31no—
50C2×#938D311yescharacteristic, complemented
51C2×#932D311yescharacteristic, complemented
52#5791—31no—
53C22×#208—31no—
54C2×D3×M16—31no—
55#5232—31no—
56#5215—31no—
57#5215—31no—
58#5215—61no—
59#5174—32no—
60#5171—32no—
61#5159—32no—
62#5157—32no—
63#5121—31no—
64#5042—32no—
65#5041—32no—
66#5039—32no—
67#5038—32no—
68#4966—31no—
69#4964—31no—
70C24×C32—21no—
71C23×C3×D3D411yescharacteristic
72C2×C32×D4—22no—
73C2×C32×D4—21no—
74C2×C32×D4—22no—
75C2×C32×D4C2312yes—
76C22×C32×C4C2311yescharacteristic
77C2×C3×#67—21no—
78C2×C3×#67—22no—
79C2×C3×#67—22no—
80C2×C3×#67—44no—
81C22×C3×Dic3—21no—
82C22×C3×Dic3D411yescharacteristic
83C3×#235—22no—
84C3×#235—22no—
85C2×C3×D12C2311yescharacteristic
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—22no—
88C2×C3×C4×D3—21no—
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3D411yescharacteristic
91C2×C3×C4×D3C2311yescharacteristic
92C2×C3×C4×D3C2311yescharacteristic
93C2×C3×Dic6C2311yescharacteristic
94C2×#625—21no—
95C2×#625—21no—
96#3757—21no—
97C4⋊(C3⋊Dic3)C2311yescharacteristic
98C4⋊(C3⋊Dic3)C2311yescharacteristic
99C4×C3⋊Dic3—21no—
100#3748—22no—
101C2×C3⋊(C3⋊C8)C2312yes—
102C3×#217—22no—
103C3×#217—22no—
104C3×#214—24no—
105C3×#213—24no—
106C3×C4⋊Dic3—21no—
107C3×C4⋊Dic3C2312yes—
108C3×#208D414yescomplemented
109C2×C3×C3⋊C8C2312yes—
110#3724—21no—
111#3724—21no—
112(C2×D3)⋊Dic3—21no—
113(C2×D3)⋊Dic3—21no—
114(C2×D3)⋊Dic3—21no—
115(C2×D3)⋊Dic3—21no—
116#3711—24no—
117D3×C3⋊C8—24no—
118#3055—91noSylow
119C2×C3×#41—31no—
120C22×C3×D4—21no—
121C22×C3×D4—61no—
122C22×C3×D4C2×D311yescharacteristic
123C22×C3×D4C2×D311yescharacteristic
124C23×C3×C4—31no—
125C22×#67—21no—
126C2×#235C2×D311yescharacteristic
127C22×C4×D3C2×D311yescharacteristic
128C3×AGL(1,ℤ/8)—64no—
129C2×C3×SD16—32no—
130C2×C3×D8—32no—
131C2×C3×M16—31no—
132C3×#121—32no—
133C3×#121—32no—
134C3×#121—61no—
135C3×#121—61no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C22⋊C4—61no—
138#953—61no—
139C2×#217—21no—
140#946—31no—
141#946—31no—
142#938—21no—
143#938—21no—
144#938—31no—
145#938—31no—
146#938C2×D312yes—
147#938C2×D312yes—
148#937—61no—
149#935—61no—
150C2×#214C2×D312yescomplemented
151#932—24no—
152C2×#213C2×D312yescomplemented
153#930—31no—
154#930—31no—
155#929—61no—
156C4×#67—61no—
157C4×#67—61no—
158C4×#67—61no—
159C4×#67—61no—
160#926—31no—
161#926—31no—
162#926—61no—
163C2×C4⋊Dic3C2×D311yescharacteristic
164#924—31no—
165#924—31no—
166C2×#208—31no—
167C2×#208—31no—
168C2×#208—32no—
169C2×#208—61no—
170C2×#208—64no—
171C2×#208C2×D311yescharacteristic
172C22×C3⋊C8—32no—
173D3×M16—64no—
174C2×ΓL(1,𝔽25)—32no—
175C2×D3×C8—32no—
176#835—32no—
177#832—32no—
178#832—32no—
179#832—32no—
180#832—32no—
181#832—32no—
182#832—62no—
183#832—62no—
184#818—32no—
185#817—32no—
186#810—32no—
187#809—32no—
188#808—32no—
189#807—32no—
190C23×C32—22no—
191C23×C32—42no—
192C23×C32—42no—
193C23×C32—42no—
194C23×C32C2×D411yescharacteristic
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3—21no—
198C22×C3×D3—41no—
199C22×C3×D3C2×D411yescharacteristic
200C22×C3×D3C2×D411yescharacteristic
201C32×D4—22no—
202C32×D4—22no—
203C32×D4—42no—
204C2×C32×C4C2×D411yescharacteristic
205C2×C32×C4C2×D412yes—
206C2×C32×C4#4112yes—
207C2×C32×C4C2411yescharacteristic
208C2×C3⋊Dic3—21no—
209C2×C3⋊Dic3—21no—
210C3×#67—44no—
211C3×#67—42no—
212C3×#67—44no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—21no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—42no—
217C2×C3×Dic3C2×D411yescharacteristic
218C2×C3×Dic3C2×D411yescharacteristic
219C3×D12—21no—
220C3×D12—21no—
221C3×C4×D3—22no—
222C3×C4×D3—22no—
223C3×C4×D3—21no—
224C3×C4×D3—21no—
225C3×C4×D3—21no—
226C3×C4×D3—21no—
227C3×C4×D3—42no—
228C3×Dic6—21no—
229C3×Dic6—21no—
230#625—42no—
231#625—42no—
232C3⋊(C3⋊C8)—22no—
233C3×C3⋊C8C2×D414yescomplemented
234C2×AGL(1,ℤ/8)—31no—
235C22×M16—91no—
236#525—91no—
237C2×#121—31no—
238#469—92no—
239#468—92no—
240#466—92no—
241#465—92no—
242#428—91no—
243#418—91no—
244#417—91no—
245C24×C3—21no—
246C24×C3—21no—
247C24×C3—31no—
248C24×C3—41no—
249C23×D3#6711yescharacteristic
250C3×#41—62no—
251C3×#41—62no—
252C2×C3×Q8—31no—
253C2×C3×D4—24no—
254C2×C3×D4—22no—
255C2×C3×D4—21no—
256C2×C3×D4—22no—
257C2×C3×D4—22no—
258C2×C3×D4—22no—
259C2×C3×D4—21no—
260C2×C3×D4—22no—
261C2×C3×D4—31no—
262C2×C3×D4—42no—
263C2×C3×D4—41no—
264C2×C3×D4—62no—
265C2×C3×D4—62no—
266C2×C3×D4—61no—
267C2×C3×D4—124no—
268C2×C3×D4C22×D312yes—
269C2×C3×D4C22×D312yes—
270C22×C3×C4—21no—
271C22×C3×C4—31no—
272C22×C3×C4—31no—
273C22×C3×C4—31no—
274C22×C3×C4—31no—
275C22×C3×C4—31no—
276C22×C3×C4—62no—
277C22×C3×C4—62no—
278C22×C3×C4—61no—
279C22×C3×C4—61no—
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D311yescharacteristic
282C2×#67—21no—
283C2×#67—22no—
284C2×#67—22no—
285C2×#67—44no—
286C2×#67—61no—
287C2×#67—61no—
288C2×#67—61no—
289C2×#67—61no—
290C22×Dic3—21no—
291C22×Dic3#6711yescharacteristic
292#235—22no—
293#235—22no—
294C2×D12C22×D311yescharacteristic
295C2×C4×D3—22no—
296C2×C4×D3—22no—
297C2×C4×D3—21no—
298C2×C4×D3#6711yescharacteristic
299C2×C4×D3#6711yescharacteristic
300C2×C4×D3C22×D311yescharacteristic
301C2×C4×D3C22×D311yescharacteristic
302C2×Dic6C22×D311yescharacteristic
303C3×SD16—64no—
304C3×D8—64no—
305C3×M16—34no—
306C2×C3×C8—32no—
307C3×C4⋊C4—32no—
308C3×C4⋊C4—61no—
309C3×C22⋊C4—62no—
310C3×C22⋊C4—62no—
311#217—22no—
312#217—22no—
313#217—61no—
314#217—61no—
315#217—61no—
316#217—61no—
317#217—61no—
318#217—61no—
319#217—121no—
320#214—24no—
321#213—24no—
322(C2×D3)⋊C4—61no—
323(C2×D3)⋊C4—61no—
324(C2×D3)⋊C4—61no—
325(C2×D3)⋊C4—61no—
326C4⋊Dic3—21no—
327C4⋊Dic3—31no—
328C4⋊Dic3—31no—
329C4⋊Dic3—31no—
330C4⋊Dic3—31no—
331C4⋊Dic3—61no—
332C4⋊Dic3—61no—
333C4⋊Dic3C22×D312yes—
334Dic3⋊C4—61no—
335Dic3⋊C4—61no—
336Dic3⋊C4—61no—
337Dic3⋊C4—61no—
338C4×Dic3—61no—
339C4×Dic3—61no—
340C4×Dic3—121no—
341#208—62no—
342#208—62no—
343#208—64no—
344#208—122no—
345#208#6714yescomplemented
346C2×C3⋊C8—32no—
347C2×C3⋊C8—32no—
348C2×C3⋊C8—62no—
349C2×C3⋊C8—64no—
350C2×C3⋊C8C22×D312yes—
351ΓL(1,𝔽25)—64no—
352D3×C8—64no—
353C22×C32—21no—
354C22×C32—21no—
355C22×C32—42no—
356C22×C32—42no—
357C22×C32—42no—
358C22×C32—84no—
359C22×C32#12112yes—
360C22×C32C22×D411yescharacteristic
361C2×C3×D3—21no—
362C2×C3×D3—21no—
363C2×C3×D3—21no—
364C2×C3×D3—21no—
365C2×C3×D3—21no—
366C2×C3×D3—44no—
367C2×C3×D3—41no—
368C2×C3×D3—41no—
369C2×C3×D3—41no—
370C2×C3×D3AGL(1,ℤ/8)12yescomplemented
371C32×C4#12112yes—
372C32×C4C22×D411yescharacteristic
373C32×C4C2×#4111yescharacteristic
374C3⋊Dic3—41no—
375C3⋊Dic3—41no—
376C3×Dic3—21no—
377C3×Dic3—21no—
378C3×Dic3—41no—
379C3×Dic3—42no—
380C2×#41—31no—
381C22×D4—61no—
382C22×D4D3211yescharacteristic
383C23×C4—31no—
384AGL(1,ℤ/8)—64no—
385C2×SD16—32no—
386C2×D8—32no—
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—91no—
405C2×C4⋊C4—31no—
406C2×C22⋊C4—61no—
407#107—92no—
408#106—92no—
409#103—92no—
410#102—92no—
411#102—92no—
412#102—92no—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3—21no—
416C23×C3—31no—
417C23×C3—31no—
418C23×C3—42no—
419C23×C3—42no—
420C23×C3—44no—
421C23×C3—42no—
422C23×C3—42no—
423C23×C3—42no—
424C23×C3—42no—
425C23×C3—42no—
426C23×C3—62no—
427C23×C3—62no—
428C23×C3—61no—
429C23×C3—82no—
430C23×C3—82no—
431C23×C3—121no—
432C23×C3D3×D411yescharacteristic
433C23×C3C2×#6711yescharacteristic
434C22×D3—22no—
435C22×D3—22no—
436C22×D3—21no—
437C22×D3—41no—
438C22×D3C2×#6711yescharacteristic
439C22×D3C2×#6711yescharacteristic
440C3×Q8—61no—
441C3×Q8—61no—
442C3×D4—24no—
443C3×D4—22no—
444C3×D4—22no—
445C3×D4—22no—
446C3×D4—22no—
447C3×D4—42no—
448C3×D4—44no—
449C3×D4—42no—
450C3×D4—42no—
451C3×D4—61no—
452C3×D4—61no—
453C3×D4—124no—
454C3×D4—124no—
455C3×D4—122no—
456C2×C3×C4—21no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—21no—
460C2×C3×C4—31no—
461C2×C3×C4—31no—
462C2×C3×C4—62no—
463C2×C3×C4—62no—
464C2×C3×C4—62no—
465C2×C3×C4—61no—
466C2×C3×C4—61no—
467C2×C3×C4—61no—
468C2×C3×C4—61no—
469C2×C3×C4—62no—
470C2×C3×C4—61no—
471C2×C3×C4—122no—
472C2×C3×C4—122no—
473C2×C3×C4D3×D411yescharacteristic
474C2×C3×C4D3×D412yes—
475C2×C3×C4#23712yes—
476C2×C3×C4#23712yes—
477C2×C3×C4C2×#6712yes—
478C2×C3×C4C2×#6711yescharacteristic
479C2×C3×C4C23×D311yescharacteristic
480C2×C3×C4C23×D311yescharacteristic
481#67—44no—
482#67—42no—
483#67—44no—
484#67—122no—
485#67—122no—
486#67—122no—
487#67—122no—
488C2×Dic3—22no—
489C2×Dic3—21no—
490C2×Dic3—22no—
491C2×Dic3—42no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—121no—
497C2×Dic3—121no—
498C2×Dic3C2×#6711yescharacteristic
499C2×Dic3C2×#6711yescharacteristic
500D12—21no—
501D12—21no—
502C4×D3—22no—
503C4×D3—22no—
504C4×D3—21no—
505C4×D3—21no—
506C4×D3—21no—
507C4×D3—21no—
508C4×D3—42no—
509Dic6—21no—
510Dic6—21no—
511C3×C8—34no—
512C3⋊C8—62no—
513C3⋊C8—62no—
514C3⋊C8—122no—
515C3⋊C8C2×#6714yescomplemented
516C2×C32—22no—
517C2×C32—82no—
518C2×C32C2×#12111yescharacteristic
519C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
520C2×C32#57511yescharacteristic
521C3×D3—22no—
522C3×D3—41no—
523C3×D3—81no—
524C24—21no—
525C24—31no—
526#41—62no—
527#41—62no—
528C2×Q8—31no—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4—31no—
533C2×D4—62no—
534C2×D4—62no—
535C2×D4—61no—
536C2×D4—124no—
537C2×D4—181no—
538C2×D4—181no—
539C2×D4C2×D3212yes—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—31no—
545C22×C4—62no—
546C22×C4—62no—
547C22×C4—61no—
548C22×C4—61no—
549C22×C4C2×D3211yescharacteristic
550SD16—64no—
551D8—64no—
552M16—34no—
553M16—184no—
554M16—182no—
555C2×C8—32no—
556C2×C8—92no—
557C2×C8—184no—
558C4⋊C4—32no—
559C4⋊C4—61no—
560C4⋊C4—91no—
561C4⋊C4—91no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C22⋊C4—62no—
565C22⋊C4—62no—
566C22⋊C4—181no—
567C22⋊C4—181no—
568C22⋊C4—181no—
569C22⋊C4—181no—
570C22⋊C4—181no—
571C42—181no—
572C22×C3—21no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—21no—
576C22×C3—21no—
577C22×C3—22no—
578C22×C3—32no—
579C22×C3—41no—
580C22×C3—41no—
581C22×C3—44no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3—42no—
588C22×C3—61no—
589C22×C3—61no—
590C22×C3—61no—
591C22×C3—61no—
592C22×C3—61no—
593C22×C3—82no—
594C22×C3—82no—
595C22×C3—84no—
596C22×C3—84no—
597C22×C3—88no—
598C22×C3—124no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3—121no—
602C22×C3#93812yes—
603C22×C3#93912yes—
604C22×C3C2×D3×D411yescharacteristic
605C22×C3C22×#6711yescharacteristic
606C2×D3—21no—
607C2×D3—21no—
608C2×D3—21no—
609C2×D3—21no—
610C2×D3—21no—
611C2×D3—44no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—41no—
615C2×D3#93212yescomplemented
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—22no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—122no—
622C3×C4—121no—
623C3×C4#93812yes—
624C3×C4#93912yes—
625C3×C4C2×D3×D411yescharacteristic
626C3×C4C2×#23711yescharacteristic
627C3×C4C2×#23711yescharacteristic
628C3×C4C22×#6711yescharacteristic
629Dic3—21no—
630Dic3—21no—
631Dic3—42no—
632Dic3—41no—
633Dic3—121no—
634Dic3—121no—
635Dic3—121no—
636Dic3—121no—
637Dic3—241no—
638Dic3—241no—
639C32#305511yescharacteristic, complemented, Sylow
640C23—22no—
641C23—31no—
642C23—31no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—62no—
647C23—62no—
648C23—61no—
649C23—121no—
650C23D3×#6711yescharacteristic
651Q8—61no—
652Q8—61no—
653D4—22no—
654D4—22no—
655D4—42no—
656D4—61no—
657D4—61no—
658D4—124no—
659D4—124no—
660D4—122no—
661D4—362no—
662D4—362no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—62no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—61no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—181no—
677C2×C4—181no—
678C2×C4#380512yes—
679C2×C4D3×#6712yes—
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—84no—
692C2×C3—82no—
693C2×C3—82no—
694C2×C3—121no—
695C2×C3—241no—
696C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
697C2×C3#577311yescharacteristic
698C2×C3C2×#93211yescharacteristic
699C2×C3C2×#93811yescharacteristic
700C2×C3C2×#93911yescharacteristic
701C2×C3#582211yescharacteristic
702D3—22no—
703D3—41no—
704D3—81no—
705C22—21no—
706C22—21no—
707C22—32no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—61no—
712C22—61no—
713C22—61no—
714C22—61no—
715C22—61no—
716C22—84no—
717C22—124no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22#6397012yes—
722C22C2×D3×#6711yescharacteristic
723C4—61no—
724C4—61no—
725C4—122no—
726C4—121no—
727C4—361no—
728C4—361no—
729C4#6397012yes—
730C4C2×#380511yescharacteristic
731C4C2×D3×#6711yescharacteristic
732C3—21no—
733C3#8262111yescharacteristic, complemented
734C3#8395011yescharacteristic, complemented
735C2—22no—
736C2—62no—
737C2—82no—
738C2—121no—
739C2—241no—
740C2D3×#93211yescharacteristic
741C2#1059509511yescharacteristic
742C2C2×#6397011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC22×C32C22×D4
hypercenterC22×D4D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#938C2semidirect
2. C2×C3×#932C2semidirect
3. #10595022C2semidirect
4. C2×D3×#208C2semidirect
5. #10592914C2semidirect
6. #10591502C2semidirect
7. #10591499C2semidirect
8. #10591498C2semidirect
9. #10591451C2semidirect
10. #10591130C2semidirect
11. #10591087C2semidirect
25. C2×C3×#214C22semidirect
27. C2×C3×#213C22semidirect
32. #63908C22semidirect
33. #63908C22semidirect
36. #63856C22semidirect
37. #63856C22semidirect
38. C2×#3711C22semidirect
40. C2×D3×C3⋊C8C22semidirect
41. #63659C22semidirect
42. #63659C22semidirect
43. #63575C22semidirect
44. #63573C22semidirect
45. #63565C22semidirect
46. #63562C22semidirect
50. C2×#938D3semidirect
51. C2×#932D3semidirect
108. C3×#208D4semidirect
150. C2×#214C2×D3semidirect
152. C2×#213C2×D3semidirect
233. C3×C3⋊C8C2×D4semidirect
345. #208#67semidirect
370. C2×C3×D3AGL(1,ℤ/8)semidirect
515. C3⋊C8C2×#67semidirect
615. C2×D3#932semidirect
639. C32#3055semidirect
733. C3#82621semidirect
734. C3#83950semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9382
C2×C3×#9322
#105950222
C2×D3×#2082
#105929142
#105915022
#105914992
#105914982
#105914512
#105911302
#105910872
#839503
#826213