Finite Group Databasebeta

← #11867170

Subgroups — #11867170

Order 1152.

1155 conjugacy classes of subgroups.

The subgroup lattice has 733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#895C211yesmaximal, characteristic, complemented
2#10595022C211yesmaximal, characteristic, complemented
3C2×#63823C211yesmaximal, characteristic, complemented
4C2×D3×#208C211yesmaximal, characteristic, complemented
5#10592663C211yesmaximal, characteristic, complemented
6C3×#4966C211yesmaximal, characteristic, complemented
7#10591086C211yesmaximal, characteristic, complemented
8#10590515C212yesmaximal, complemented
9#10590514C212yesmaximal, complemented
10#10590504C212yesmaximal, complemented
11#10590499C212yesmaximal, complemented
12#82621—31nomaximal
13#78888—31nomaximal
14C2×C3×#235C2211yescharacteristic
15C22×C3×D12—21no—
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C2×C32×C4⋊C4C2211yescharacteristic
19#64135C2211yescharacteristic
20C2×#3748C2211yescharacteristic
21C2×C3×(C2×D3)⋊C4—21no—
22C2×C3×#208C2211yescharacteristic
23C3×#895—21no—
24C3×#895—21no—
25C3×#895C2212yes—
26C3×#895C2212yes—
27#63976—21no—
28#63961—21no—
29#63908C2211yescharacteristic, complemented
30#63908C2211yescharacteristic, complemented
31C4×#625—21no—
32C4×#625—21no—
33#63856C2211yescharacteristic, complemented
34#63856C2211yescharacteristic, complemented
35C2×#3715C2212yescomplemented
36#63823—24no—
37C2×#3713C2212yescomplemented
38C2×#3711C2212yescomplemented
39D3×#208—24no—
40C2×D3×C3⋊C8C2212yescomplemented
41#63635C2212yescomplemented
42#63634C2212yescomplemented
43C3×#810C2212yescomplemented
44C3×#809C2212yescomplemented
45#63563C2212yescomplemented
46#63563C2212yescomplemented
47C2×C3×#121—31no—
48#5828—31no—
49C2×#949—31no—
50C2×#932—31no—
51#5791—31no—
52C22×#208—31no—
53C2×D3×M16—31no—
54C2×#895D311yescharacteristic, complemented
55C3×#417—31no—
56#5215—31no—
57#5131—31no—
58#5042—32no—
59#5041—32no—
60#5039—32no—
61#5038—32no—
62#4966D311yescharacteristic, complemented
63#4964—31no—
64#4964—31no—
65#4964—61no—
66#4812—32no—
67#4807—32no—
68#4782—32no—
69#4775—32no—
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4—21no—
73C22×C32×C4C2311yescharacteristic
74C2×C3×#67—21no—
75C22×C3×Dic3D411yescharacteristic
76C3×#235—22no—
77C3×#235—22no—
78C2×C3×D12—22no—
79C2×C3×D12—22no—
80C2×C3×D12—22no—
81C2×C3×D12—22no—
82C2×C3×D12—21no—
83C2×C3×D12—44no—
84C2×C3×D12C2312yes—
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—
96C32×C4⋊C4—21no—
97C32×C4⋊C4C2312yes—
98#3757—21no—
99C4⋊(C3⋊Dic3)C2311yescharacteristic
100C4⋊(C3⋊Dic3)C2311yescharacteristic
101C4×C3⋊Dic3—21no—
102#3748D414yescomplemented
103C2×C3⋊(C3⋊C8)C2312yes—
104C3×(C2×D3)⋊C4—22no—
105C3×(C2×D3)⋊C4—22no—
106C3×#208—22no—
107C2×C3×C3⋊C8C2312yes—
108#3724—21no—
109#3724—21no—
110(C2×D3)⋊Dic3—21no—
111(C2×D3)⋊Dic3—21no—
112(C2×D3)⋊Dic3—21no—
113(C2×D3)⋊Dic3—21no—
114#3715—24no—
115#3713—24no—
116#3711—24no—
117D3×C3⋊C8—24no—
118#3055—91noSylow
119C2×C3×#41—31no—
120C22×C3×D4—31no—
121C22×C3×D4—61no—
122C23×C3×C4—31no—
123C2×#235C2×D311yescharacteristic
124C22×D12—21no—
125C22×D12C2×D311yescharacteristic
126C22×C4×D3C2×D311yescharacteristic
127C2×C3×M16—31no—
128C3×#121—32no—
129C3×#121—32no—
130C3×#121—61no—
131C3×#121—61no—
132C2×C3×C4⋊C4—21no—
133C2×C3×C4⋊C4C2×D311yescharacteristic
134C2×C3×C4⋊C4C2×D311yescharacteristic
135C2×C3×C22⋊C4—61no—
136#953—61no—
137#949—64no—
138#946—31no—
139#946—31no—
140C2×#215—32no—
141#938—31no—
142#938—31no—
143#937—61no—
144#935—61no—
145C2×#214—32no—
146#932—64no—
147C2×#213—32no—
148C2×#213—32no—
149#930—31no—
150#930—31no—
151#929—61no—
152C4×#67—61no—
153C4×#67—61no—
154C4×#67—61no—
155C4×#67—61no—
156C2×(C2×D3)⋊C4—21no—
157#926—31no—
158#926—31no—
159#926—61no—
160#924—31no—
161#924—31no—
162C2×#208—31no—
163C2×#208—31no—
164C2×#208—32no—
165C2×#208—61no—
166C2×#208—64no—
167C2×#208C2×D311yescharacteristic
168C22×C3⋊C8—32no—
169D3×M16—64no—
170C2×ΓL(1,𝔽25)—32no—
171C2×D3×C8—32no—
172#895—21no—
173#895—21no—
174#895C2×D312yes—
175#895C2×D312yes—
176C3×#103—32no—
177C3×#102—32no—
178#832—32no—
179#832—32no—
180#821—32no—
181#821—32no—
182#810C2×D312yescomplemented
183#809C2×D312yescomplemented
184#808—32no—
185#808—32no—
186#808—62no—
187#807—32no—
188#807—32no—
189#807—62no—
190C23×C32C2×D411yescharacteristic
191C22×C3×D3—22no—
192C22×C3×D3—22no—
193C22×C3×D3—22no—
194C22×C3×D3—21no—
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
207C2×C3⋊Dic3—21no—
208C2×C3⋊Dic3—21no—
209C3×#67—42no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3C2×D411yescharacteristic
213C2×C3×Dic3C2×D411yescharacteristic
214C3×D12—21no—
215C3×D12—22no—
216C3×D12—22no—
217C3×D12—21no—
218C3×D12—44no—
219C3×D12—44no—
220C3×D12—42no—
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)C2×D414yescomplemented
233C3×C3⋊C8—22no—
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—91no—
243#418—91no—
244#417—31no—
245C24×C3—31no—
246C24×C3—61no—
247C23×D3—21no—
248C23×D3#6711yescharacteristic
249C3×#41—62no—
250C3×#41—62no—
251C2×C3×Q8—31no—
252C2×C3×D4—32no—
253C2×C3×D4—31no—
254C2×C3×D4—62no—
255C2×C3×D4—62no—
256C2×C3×D4—61no—
257C2×C3×D4—62no—
258C2×C3×D4—62no—
259C2×C3×D4—61no—
260C2×C3×D4—124no—
261C22×C3×C4—21no—
262C22×C3×C4—21no—
263C22×C3×C4—21no—
264C22×C3×C4—31no—
265C22×C3×C4—31no—
266C22×C3×C4—31no—
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—41no—
270C22×C3×C4—62no—
271C22×C3×C4—62no—
272C22×C3×C4—61no—
273C22×C3×C4C22×D311yescharacteristic
274C22×C3×C4C22×D311yescharacteristic
275C2×#67—21no—
276C2×#67—61no—
277C2×#67—61no—
278C2×#67—61no—
279C2×#67—61no—
280C22×Dic3#6711yescharacteristic
281#235—22no—
282#235—22no—
283C2×D12—22no—
284C2×D12—22no—
285C2×D12—22no—
286C2×D12—22no—
287C2×D12—21no—
288C2×D12—44no—
289C2×D12C22×D311yescharacteristic
290C2×D12C22×D312yes—
291C2×C4×D3—22no—
292C2×C4×D3—22no—
293C2×C4×D3—21no—
294C2×C4×D3#6711yescharacteristic
295C2×C4×D3#6711yescharacteristic
296C2×C4×D3C22×D311yescharacteristic
297C2×C4×D3C22×D311yescharacteristic
298C2×Dic6C22×D311yescharacteristic
299C3×M16—62no—
300C2×C3×C8—32no—
301C3×C4⋊C4—21no—
302C3×C4⋊C4—21no—
303C3×C4⋊C4—22no—
304C3×C4⋊C4—41no—
305C3×C4⋊C4C22×D312yes—
306C3×C4⋊C4C22×D312yes—
307C3×C22⋊C4—62no—
308C3×C22⋊C4—62no—
309#217—61no—
310#217—61no—
311#217—61no—
312#217—61no—
313#217—61no—
314#217—61no—
315#217—121no—
316#215—64no—
317#214—64no—
318#213—64no—
319#213—64no—
320(C2×D3)⋊C4—22no—
321(C2×D3)⋊C4—22no—
322(C2×D3)⋊C4—61no—
323(C2×D3)⋊C4—61no—
324(C2×D3)⋊C4—61no—
325(C2×D3)⋊C4—61no—
326C4⋊Dic3—31no—
327C4⋊Dic3—31no—
328C4⋊Dic3—31no—
329C4⋊Dic3—31no—
330C4⋊Dic3—61no—
331C4⋊Dic3—61no—
332Dic3⋊C4—61no—
333Dic3⋊C4—61no—
334Dic3⋊C4—61no—
335Dic3⋊C4—61no—
336C4×Dic3—61no—
337C4×Dic3—61no—
338C4×Dic3—121no—
339#208—22no—
340#208—34no—
341#208—34no—
342#208—64no—
343#208—64no—
344C2×C3⋊C8—32no—
345C2×C3⋊C8—32no—
346C2×C3⋊C8—62no—
347C2×C3⋊C8—64no—
348C2×C3⋊C8C22×D312yes—
349ΓL(1,𝔽25)—64no—
350D3×C8—64no—
351C22×C32—21no—
352C22×C32—21no—
353C22×C32#12112yes—
354C22×C32C22×D411yescharacteristic
355C2×C3×D3—21no—
356C2×C3×D3—21no—
357C2×C3×D3—21no—
358C2×C3×D3—21no—
359C2×C3×D3—21no—
360C2×C3×D3—44no—
361C2×C3×D3—41no—
362C2×C3×D3—42no—
363C2×C3×D3—41no—
364C2×C3×D3—42no—
365C2×C3×D3—41no—
366C2×C3×D3—42no—
367C2×C3×D3—84no—
368C2×C3×D3AGL(1,ℤ/8)12yescomplemented
369C32×C4—42no—
370C32×C4#12112yes—
371C32×C4C22×D411yescharacteristic
372C32×C4C2×#4111yescharacteristic
373C3⋊Dic3—41no—
374C3⋊Dic3—41no—
375C3×Dic3—21no—
376C3×Dic3—21no—
377C3×Dic3—41no—
378C2×#41—31no—
379C22×D4—31no—
380C22×D4—61no—
381C23×C4—31no—
382AGL(1,ℤ/8)—184no—
383C2×SD16—92no—
384C2×D8—92no—
385C2×M16—31no—
386C2×M16—92no—
387C2×M16—91no—
388C2×M16—184no—
389C22×C8—92no—
390#123—181no—
391C22⋊Q8—91no—
392C22⋊Q8—91no—
393#121—32no—
394#121—32no—
395#121—61no—
396#121—61no—
397#121—91no—
398#121—91no—
399#120—181no—
400C4×D4—181no—
401C4×D4—181no—
402#117—91no—
403C2×C4⋊C4D3211yescharacteristic
404C2×C22⋊C4—61no—
405#107—92no—
406#106—92no—
407#103—32no—
408#102—32no—
409#102—92no—
410#102—92no—
411C23×C3—21no—
412C23×C3—31no—
413C23×C3—31no—
414C23×C3—62no—
415C23×C3—62no—
416C23×C3—62no—
417C23×C3—61no—
418C23×C3—121no—
419C23×C3—122no—
420C23×C3—122no—
421C23×C3—122no—
422C23×C3D3×D411yescharacteristic
423C23×C3C2×#6711yescharacteristic
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—21no—
427C22×D3—22no—
428C22×D3—41no—
429C22×D3—42no—
430C22×D3—42no—
431C22×D3—42no—
432C22×D3C2×#6711yescharacteristic
433C22×D3C2×#6711yescharacteristic
434C3×Q8—61no—
435C3×Q8—61no—
436C3×D4—62no—
437C3×D4—61no—
438C3×D4—62no—
439C3×D4—61no—
440C3×D4—124no—
441C3×D4—124no—
442C3×D4—122no—
443C3×D4—122no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—21no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—21no—
450C2×C3×C4—31no—
451C2×C3×C4—31no—
452C2×C3×C4—42no—
453C2×C3×C4—42no—
454C2×C3×C4—42no—
455C2×C3×C4—62no—
456C2×C3×C4—62no—
457C2×C3×C4—62no—
458C2×C3×C4—61no—
459C2×C3×C4—61no—
460C2×C3×C4—61no—
461C2×C3×C4—61no—
462C2×C3×C4—61no—
463C2×C3×C4—82no—
464C2×C3×C4—122no—
465C2×C3×C4#23512yes—
466C2×C3×C4D3×D412yes—
467C2×C3×C4D3×D412yes—
468C2×C3×C4D3×D411yescharacteristic
469C2×C3×C4#23712yes—
470C2×C3×C4C2×#6711yescharacteristic
471C2×C3×C4C23×D311yescharacteristic
472C2×C3×C4C23×D311yescharacteristic
473#67—42no—
474#67—122no—
475#67—122no—
476#67—122no—
477#67—122no—
478C2×Dic3—22no—
479C2×Dic3—21no—
480C2×Dic3—61no—
481C2×Dic3—61no—
482C2×Dic3—61no—
483C2×Dic3—61no—
484C2×Dic3—121no—
485C2×Dic3—121no—
486C2×Dic3C2×#6711yescharacteristic
487C2×Dic3C2×#6711yescharacteristic
488D12—21no—
489D12—21no—
490D12—22no—
491D12—22no—
492D12—44no—
493D12—44no—
494D12—42no—
495C4×D3—22no—
496C4×D3—22no—
497C4×D3—21no—
498C4×D3—21no—
499C4×D3—21no—
500C4×D3—21no—
501C4×D3—42no—
502Dic6—21no—
503Dic6—21no—
504C3×C8—62no—
505C3⋊C8—22no—
506C3⋊C8—34no—
507C3⋊C8—34no—
508C3⋊C8—64no—
509C2×C32—22no—
510C2×C32C2×#12111yescharacteristic
511C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
512C2×C32#57511yescharacteristic
513C3×D3—22no—
514C3×D3—41no—
515C3×D3—81no—
516C3×D3—82no—
517C24—31no—
518C24—61no—
519#41—62no—
520#41—62no—
521C2×Q8—31no—
522C2×D4—31no—
523C2×D4—32no—
524C2×D4—62no—
525C2×D4—62no—
526C2×D4—61no—
527C2×D4—62no—
528C2×D4—62no—
529C2×D4—61no—
530C2×D4—124no—
531C2×D4—181no—
532C2×D4—181no—
533C22×C4—21no—
534C22×C4—31no—
535C22×C4—31no—
536C22×C4—31no—
537C22×C4—31no—
538C22×C4—31no—
539C22×C4—62no—
540C22×C4—62no—
541C22×C4—61no—
542C22×C4C2×D3211yescharacteristic
543SD16—184no—
544D8—184no—
545M16—62no—
546M16—94no—
547M16—184no—
548C2×C8—32no—
549C2×C8—92no—
550C2×C8—184no—
551C4⋊C4—21no—
552C4⋊C4—91no—
553C4⋊C4—91no—
554C4⋊C4—181no—
555C4⋊C4—181no—
556C4⋊C4C2×D3212yes—
557C22⋊C4—62no—
558C22⋊C4—62no—
559C22⋊C4—181no—
560C22⋊C4—181no—
561C22⋊C4—181no—
562C22⋊C4—181no—
563C22⋊C4—181no—
564C42—181no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—22no—
571C22×C3—32no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—61no—
575C22×C3—61no—
576C22×C3—61no—
577C22×C3—61no—
578C22×C3—61no—
579C22×C3—124no—
580C22×C3—122no—
581C22×C3—122no—
582C22×C3—122no—
583C22×C3—121no—
584C22×C3—121no—
585C22×C3—121no—
586C22×C3—244no—
587C22×C3#88412yes—
588C22×C3#93912yes—
589C22×C3C2×D3×D411yescharacteristic
590C22×C3C22×#6711yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—21no—
594C2×D3—21no—
595C2×D3—21no—
596C2×D3—44no—
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—41no—
600C2×D3—42no—
601C2×D3—42no—
602C2×D3—42no—
603C2×D3—84no—
604C2×D3#93212yescomplemented
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—22no—
608C3×C4—42no—
609C3×C4—42no—
610C3×C4—61no—
611C3×C4—61no—
612C3×C4—82no—
613C3×C4—121no—
614C3×C4#88412yes—
615C3×C4#93912yes—
616C3×C4C2×#23511yescharacteristic
617C3×C4C2×D3×D411yescharacteristic
618C3×C4C2×D3×D411yescharacteristic
619C3×C4C2×#23711yescharacteristic
620Dic3—21no—
621Dic3—21no—
622Dic3—41no—
623Dic3—121no—
624Dic3—121no—
625Dic3—121no—
626Dic3—121no—
627Dic3—241no—
628Dic3—241no—
629C32#305511yescharacteristic, complemented, Sylow
630C23—31no—
631C23—31no—
632C23—62no—
633C23—62no—
634C23—62no—
635C23—61no—
636C23—121no—
637C23—122no—
638C23—122no—
639C23—122no—
640C23D3×#6711yescharacteristic
641Q8—61no—
642Q8—61no—
643D4—62no—
644D4—61no—
645D4—61no—
646D4—62no—
647D4—124no—
648D4—124no—
649D4—122no—
650D4—122no—
651D4—362no—
652D4—362no—
653C2×C4—22no—
654C2×C4—31no—
655C2×C4—31no—
656C2×C4—42no—
657C2×C4—62no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—61no—
665C2×C4—122no—
666C2×C4—181no—
667C2×C4—181no—
668C2×C4#379512yes—
669C2×C4#380212yes—
670C2×C4D3×#6711yescharacteristic
671C2×C4C22×D3211yescharacteristic
672C8—62no—
673C8—94no—
674C2×C3—22no—
675C2×C3—22no—
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—42no—
680C2×C3—62no—
681C2×C3—121no—
682C2×C3—242no—
683C2×C3—241no—
684C2×C3C2×#88411yescharacteristic
685C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
686C2×C3#577711yescharacteristic
687C2×C3C2×#93211yescharacteristic
688C2×C3C2×#93911yescharacteristic
689C2×C3#582211yescharacteristic
690D3—22no—
691D3—41no—
692D3—81no—
693D3—82no—
694C22—21no—
695C22—21no—
696C22—32no—
697C22—61no—
698C22—61no—
699C22—61no—
700C22—61no—
701C22—61no—
702C22—124no—
703C22—122no—
704C22—121no—
705C22—121no—
706C22—122no—
707C22—121no—
708C22—122no—
709C22—244no—
710C22#6388512yes—
711C22C2×D3×#6711yescharacteristic
712C4—42no—
713C4—61no—
714C4—61no—
715C4—121no—
716C4—361no—
717C4—361no—
718C4#6388512yes—
719C4C2×#379511yescharacteristic
720C4C2×#380211yescharacteristic
721C3—21no—
722C3#7888811yescharacteristic, complemented
723C3#8262111yescharacteristic, complemented
724C2—22no—
725C2—62no—
726C2—121no—
727C2—242no—
728C2—241no—
729C2C2×#6388511yescharacteristic
730C2D3×#93211yescharacteristic
731C2#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. #10595022C2semidirect
3. C2×#63823C2semidirect
4. C2×D3×#208C2semidirect
5. #10592663C2semidirect
6. C3×#4966C2semidirect
7. #10591086C2semidirect
8. #10590515C2semidirect
9. #10590514C2semidirect
10. #10590504C2semidirect
11. #10590499C2semidirect
29. #63908C22semidirect
30. #63908C22semidirect
33. #63856C22semidirect
34. #63856C22semidirect
35. C2×#3715C22semidirect
37. C2×#3713C22semidirect
38. C2×#3711C22semidirect
40. C2×D3×C3⋊C8C22semidirect
41. #63635C22semidirect
42. #63634C22semidirect
43. C3×#810C22semidirect
44. C3×#809C22semidirect
45. #63563C22semidirect
46. #63563C22semidirect
54. C2×#895D3semidirect
62. #4966D3semidirect
102. #3748D4semidirect
182. #810C2×D3semidirect
183. #809C2×D3semidirect
232. C3⋊(C3⋊C8)C2×D4semidirect
368. C2×C3×D3AGL(1,ℤ/8)semidirect
604. C2×D3#932semidirect
629. C32#3055semidirect
722. C3#78888semidirect
723. 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
#105950222
C2×#638232
C2×D3×#2082
#105926632
C3×#49662
#105910862
#105905152
#105905142
#105905042
#105904992
#826213
#788883