Finite Group Databasebeta

← D3×#5072 #11865435

Subgroups — D3×#5072 #11865435

Order 1152.

1366 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D3×#127C211yesmaximal, characteristic, complemented
2C2×D3×#213C212yesmaximal, complemented
3C4×D3×D12C211yesmaximal, characteristic, complemented
4#10592771C211yesmaximal, characteristic, complemented
5C3×#5072C211yesmaximal, characteristic, complemented
6#10591429C212yesmaximal, complemented
7#10591428C212yesmaximal, complemented
8D3×#832C212yesmaximal, complemented
9#10590355C211yesmaximal, characteristic, complemented
10#10590347C211yesmaximal, characteristic, complemented
11D3×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
12C2×#5072—31nomaximal
13D3×#459—31nomaximal
14C2×C3×D3×D4—21no—
15C2×C3×D3×D4—21no—
16C2×C3×D3×D4C2212yes—
17C2×D3×D12C2211yescharacteristic
18C2×C4×D32—21no—
19C32×#127C2211yescharacteristic, complemented
20C2×#3753C2212yescomplemented
21C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
22C3×#940—21no—
23C3×#940—21no—
24C3×#940C2212yescomplemented
25C2×C3×#213C2212yescomplemented
26C3×#874C2211yescharacteristic, complemented
27C3×C4×D12C2211yescharacteristic, complemented
28C3×C42×D3C2211yescharacteristic
29D3×#213—28no—
30D3×(C2×D3)⋊C4—21no—
31C4×#626—21no—
32#63894C2211yescharacteristic, complemented
33Dic3×D12C2211yescharacteristic, complemented
34D3×C4⋊Dic3C2211yescharacteristic
35#63880—21no—
36C2×#3714C2212yescomplemented
37C2×#3713C2212yescomplemented
38C2×D3×C3⋊C8C2212yes—
39#63659C2212yescomplemented
40C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
41C3×#832C2212yescomplemented
42C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
43Dic3⋊(C3⋊C8)C2212yescomplemented
44#63563C2212yescomplemented
45#63562C2212yescomplemented
46C2×C3×#127—31no—
47C22×#213—32no—
48C2×D3×D8—32no—
49D3×#127D311yescharacteristic, complemented
50C4×D3×D4—31no—
51C2×C4×D12—31no—
52C3×#459—31no—
53C2×#832—32no—
54#5150—32no—
55#5072—31no—
56#5072—31no—
57#5072—32no—
58#5072—31no—
59#5072—32no—
60#5072—31no—
61#5072—61no—
62#5072D311yescharacteristic, direct product factor
63#5015—31no—
64C2×C4⋊(C3⋊C8)—31no—
65#4843—31no—
66D3×C4⋊C8—31no—
67#4786—32no—
68D3×#102—32no—
69C23×C3×D3—22no—
70C22×D32—21no—
71C2×C32×D4—21no—
72C2×C32×D4—21no—
73C2×C32×D4C2312yes—
74C2×C4⋊(C3⋊D3)C2311yescharacteristic
75C2×C4×C3⋊D3—21no—
76C2×C3×#67—22no—
77C2×C3×#67—22no—
78C2×C3×#67—22no—
79C3×D3×D4—24no—
80C3×D3×D4—24no—
81C3×D3×D4—44no—
82C3×D3×D4—44no—
83C2×C3×D12—21no—
84C2×C3×D12—21no—
85C2×C3×D12C2312yes—
86C2×C3×D12C2311yescharacteristic
87C2×C3×C4×D3—21no—
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3C2311yescharacteristic
91C2×#626—21no—
92C2×#624—21no—
93C2×D3×Dic3—21no—
94C2×D3×Dic3—21no—
95D3×D12—22no—
96D3×D12D414yescomplemented
97C4×D32—44no—
98C32×C42C2311yescharacteristic
99#3753—24no—
100#3752—21no—
101C4⋊(C3⋊Dic3)C2311yescharacteristic
102C2×C3⋊(C3⋊C8)C2312yes—
103C3×#213—24no—
104C3×(C2×D3)⋊C4—21no—
105C3×C4⋊Dic3C2311yescharacteristic
106C3×C4×Dic3D411yescharacteristic
107C3×C4×Dic3D411yescharacteristic
108C3×C4×Dic3C2311yescharacteristic
109C2×C3×C3⋊C8C2312yes—
110Dic3⋊Dic3—21no—
111#3722—21no—
112(C2×D3)⋊Dic3—21no—
113#3714—24no—
114#3713—24no—
115D3×C3⋊C8—24no—
116C2×#459—91noSylow
117C22×C3×D4—32no—
118C22×C3×D4—61no—
119C22×C3×D4—61no—
120C2×D3×D4—21no—
121C2×D3×D4—21no—
122C2×D3×D4—31no—
123C2×D3×D4C2×D312yes—
124C22×D12—31no—
125C22×C4×D3—61no—
126C22×C4×D3—61no—
127C2×C3×D8—32no—
128C3×#127—21no—
129C3×#127—32no—
130C3×#127—31no—
131C3×#127—61no—
132C3×#127—61no—
133C3×#127C2×D311yescharacteristic, complemented
134C3×#127C2×D311yescharacteristic, complemented
135C3×C4×D4—31no—
136C2×C3×C42—31no—
137#940—21no—
138#940—21no—
139#940C2×D312yescomplemented
140D4×Dic3—31no—
141C2×#213—32no—
142C2×#213—32no—
143C2×#213—32no—
144C2×#213—32no—
145C2×#213—32no—
146C2×#213—62no—
147C2×#213—68no—
148C2×#213C2×D312yescomplemented
149C4×#67—61no—
150C2×(C2×D3)⋊C4—61no—
151C2×C4⋊Dic3—31no—
152C22×C3⋊C8—32no—
153D3×D8—68no—
154C2×D24—32no—
155C2×D3×C8—32no—
156#893—31no—
157D3×C4⋊C4—31no—
158#67⋊C4—61no—
159D3×C22⋊C4—61no—
160#874C2×D311yescharacteristic, complemented
161C4×D12—31no—
162C4×D12—31no—
163C4×D12—31no—
164C4×D12—31no—
165C4×D12—61no—
166C4×D12—61no—
167C4×D12—61no—
168C4×D12C2×D311yescharacteristic, complemented
169C42×D3C2×D311yescharacteristic
170C3×C4⋊C8—31no—
171C3×#102—32no—
172#832—32no—
173#832—32no—
174#832—32no—
175#832—32no—
176#832—62no—
177#832C2×D312yescomplemented
178#821—32no—
179Dic3⋊C8—32no—
180#809—32no—
181C4⋊(C3⋊C8)—31no—
182C4⋊(C3⋊C8)—31no—
183C4⋊(C3⋊C8)—32no—
184C4⋊(C3⋊C8)—61no—
185C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
186C23×C32—22no—
187C22×C3⋊D3—21no—
188C22×C3×D3—21no—
189C22×C3×D3—22no—
190C22×C3×D3—44no—
191C22×C3×D3—44no—
192C22×C3×D3—44no—
193C22×C3×D3C2×D411yescharacteristic
194C2×D32—24no—
195C2×D32—42no—
196C2×D32—42no—
197C32×D4—22no—
198C32×D4—22no—
199C32×D4—42no—
200C32×D4—42no—
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4C2411yescharacteristic
204C2×C3⋊Dic3—21no—
205C4⋊(C3⋊D3)—21no—
206C4⋊(C3⋊D3)C2×D412yescomplemented
207C4×C3⋊D3—42no—
208C3×#67—44no—
209C3×#67—44no—
210C3×#67—44no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3C2×D411yescharacteristic
213C2×C3×Dic3C2×D411yescharacteristic
214C2×C3×Dic3C2×D411yescharacteristic
215C3×D12—22no—
216C3×D12—21no—
217C3×D12—22no—
218C3×D12—42no—
219C3×D12—42no—
220C3×D12C2×D412yescomplemented
221C3×C4×D3—22no—
222C3×C4×D3—42no—
223C3×C4×D3D814yescomplemented
224C3×C4×D3C2×D412yes—
225C3×C4×D3#4112yes—
226#626—24no—
227#624—42no—
228D3×Dic3—42no—
229D3×Dic3—42no—
230C3⋊(C3⋊C8)—22no—
231C3×C3⋊C8—22no—
232C22×D8—92no—
233C2×#127—31no—
234C2×C4×D4—91no—
235#459—31no—
236#459—92no—
237#459—91no—
238#459—91no—
239#459—92no—
240#459—91no—
241C2×C4⋊C8—91no—
242C2×#102—92no—
243C24×C3—62no—
244C23×D3—22no—
245C23×D3—61no—
246C23×D3—61no—
247C2×C3×D4—21no—
248C2×C3×D4—21no—
249C2×C3×D4—21no—
250C2×C3×D4—21no—
251C2×C3×D4—22no—
252C2×C3×D4—31no—
253C2×C3×D4—32no—
254C2×C3×D4—41no—
255C2×C3×D4—41no—
256C2×C3×D4—64no—
257C2×C3×D4—64no—
258C2×C3×D4—62no—
259C2×C3×D4—62no—
260C2×C3×D4—62no—
261C2×C3×D4—61no—
262C2×C3×D4—61no—
263C2×C3×D4—124no—
264C2×C3×D4—124no—
265C2×C3×D4C22×D312yes—
266C2×C3×D4C22×D312yes—
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—31no—
270C22×C3×C4—61no—
271C2×#67—22no—
272C2×#67—22no—
273C2×#67—22no—
274C2×#67—61no—
275C22×Dic3—61no—
276C22×Dic3—61no—
277D3×D4—24no—
278D3×D4—24no—
279D3×D4—34no—
280D3×D4—44no—
281D3×D4—44no—
282D3×D4—62no—
283C2×D12—21no—
284C2×D12—21no—
285C2×D12—31no—
286C2×D12—31no—
287C2×D12—34no—
288C2×D12—61no—
289C2×D12—62no—
290C2×D12—61no—
291C2×D12C22×D312yes—
292C2×D12C22×D311yescharacteristic
293C2×C4×D3—21no—
294C2×C4×D3—61no—
295C2×C4×D3—61no—
296C2×C4×D3—61no—
297C2×C4×D3—61no—
298C2×C4×D3—61no—
299C2×C4×D3—61no—
300C2×C4×D3—121no—
301C2×C4×D3—124no—
302C2×C4×D3—124no—
303C2×C4×D3#6711yescharacteristic
304C2×C4×D3#6711yescharacteristic
305C2×C4×D3C22×D311yescharacteristic
306C3×D8—64no—
307C2×C3×C8—32no—
308C3×C4⋊C4—31no—
309C3×C22⋊C4—61no—
310C3×C42—21no—
311C3×C42—31no—
312C3×C42—31no—
313C3×C42—31no—
314C3×C42C22×D311yescharacteristic
315C3×C42C22×D311yescharacteristic
316#217—61no—
317#213—24no—
318#213—64no—
319#213—64no—
320#213—64no—
321#213—64no—
322#213—64no—
323#213—124no—
324(C2×D3)⋊C4—21no—
325(C2×D3)⋊C4—61no—
326(C2×D3)⋊C4—61no—
327(C2×D3)⋊C4—61no—
328(C2×D3)⋊C4—61no—
329(C2×D3)⋊C4—61no—
330(C2×D3)⋊C4—121no—
331C4⋊Dic3—31no—
332C4⋊Dic3—31no—
333C4⋊Dic3—61no—
334C4⋊Dic3—61no—
335C4⋊Dic3C22×D311yescharacteristic
336Dic3⋊C4—61no—
337C4×Dic3#6711yescharacteristic
338C4×Dic3#6711yescharacteristic
339C4×Dic3C22×D311yescharacteristic
340C2×C3⋊C8—32no—
341C2×C3⋊C8—32no—
342C2×C3⋊C8—62no—
343C2×C3⋊C8—64no—
344C2×C3⋊C8C22×D312yes—
345D24—64no—
346D3×C8—64no—
347C22×C32—42no—
348C22×C32—42no—
349C22×C32—42no—
350C22×C32C22×D411yescharacteristic
351C2×C3⋊D3—22no—
352C2×C3⋊D3—41no—
353C2×C3⋊D3—41no—
354C2×C3×D3—22no—
355C2×C3×D3—41no—
356C2×C3×D3—41no—
357C2×C3×D3—42no—
358C2×C3×D3—42no—
359C2×C3×D3—42no—
360C2×C3×D3—88no—
361C2×C3×D3#12112yes—
362C2×C3×D3C2×D812yes—
363C2×C3×D3AGL(1,ℤ/8)12yes—
364D32—48no—
365C32×C4—21no—
366C32×C4C2×D812yescomplemented
367C32×C4C22×D411yescharacteristic
368C32×C4C2×#4111yescharacteristic
369C3⋊Dic3—41no—
370C3×Dic3—21no—
371C3×Dic3—41no—
372C3×Dic3#12112yes—
373C3×Dic3C2×D812yescomplemented
374C22×D4—32no—
375C22×D4—61no—
376C22×D4—61no—
377C22×D4—91no—
378C23×C4—181no—
379C2×D8—32no—
380C2×D8—92no—
381C2×D8—92no—
382C2×D8—92no—
383C2×D8—188no—
384C22×C8—92no—
385#127—32no—
386#127—31no—
387#127—61no—
388#127—61no—
389#127D3211yescharacteristic, complemented
390C4×D4—31no—
391C4×D4—91no—
392C4×D4—91no—
393C4×D4—91no—
394C4×D4—181no—
395C4×D4—181no—
396C2×C4⋊C4—91no—
397C2×C22⋊C4—181no—
398C2×C42—31no—
399C4⋊C8—31no—
400C4⋊C8—92no—
401C4⋊C8—91no—
402#102—32no—
403#102—92no—
404#102—92no—
405#102—92no—
406C23×C3—22no—
407C23×C3—22no—
408C23×C3—31no—
409C23×C3—42no—
410C23×C3—61no—
411C23×C3—62no—
412C23×C3—124no—
413C23×C3—124no—
414C23×C3—124no—
415C22×D3—21no—
416C22×D3—22no—
417C22×D3—44no—
418C22×D3—44no—
419C22×D3—44no—
420C22×D3—64no—
421C22×D3—61no—
422C22×D3—61no—
423C22×D3—64no—
424C22×D3—121no—
425C22×D3—122no—
426C22×D3—122no—
427C22×D3—122no—
428C22×D3—122no—
429C22×D3C2×#6711yescharacteristic
430C3×D4—22no—
431C3×D4—22no—
432C3×D4—22no—
433C3×D4—22no—
434C3×D4—32no—
435C3×D4—42no—
436C3×D4—42no—
437C3×D4—42no—
438C3×D4—42no—
439C3×D4—42no—
440C3×D4—42no—
441C3×D4—62no—
442C3×D4—61no—
443C3×D4—62no—
444C3×D4—82no—
445C3×D4—82no—
446C3×D4—122no—
447C3×D4—124no—
448C3×D4—124no—
449C3×D4—124no—
450C3×D4—122no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—21no—
454C2×C3×C4—31no—
455C2×C3×C4—31no—
456C2×C3×C4—34no—
457C2×C3×C4—32no—
458C2×C3×C4—32no—
459C2×C3×C4—31no—
460C2×C3×C4—62no—
461C2×C3×C4—61no—
462C2×C3×C4—122no—
463C2×C3×C4D3×D411yescharacteristic
464C2×C3×C4D3×D411yescharacteristic
465C2×C3×C4C2×#6711yescharacteristic
466C2×C3×C4C2×#6711yescharacteristic
467C2×C3×C4C23×D311yescharacteristic
468C2×C3×C4C23×D311yescharacteristic
469#67—44no—
470#67—44no—
471#67—44no—
472#67—64no—
473C2×Dic3—21no—
474C2×Dic3—61no—
475C2×Dic3—61no—
476C2×Dic3—121no—
477C2×Dic3—122no—
478C2×Dic3—122no—
479C2×Dic3C2×#6711yescharacteristic
480C2×Dic3C2×#6711yescharacteristic
481C2×Dic3C2×#6711yescharacteristic
482D12—22no—
483D12—22no—
484D12—21no—
485D12—32no—
486D12—32no—
487D12—42no—
488D12—42no—
489D12—62no—
490D12—64no—
491D12—61no—
492D12—61no—
493D12—121no—
494D12D3×D412yescomplemented
495C4×D3—22no—
496C4×D3—42no—
497C4×D3—122no—
498C4×D3—122no—
499C4×D3—122no—
500C4×D3—122no—
501C4×D3—122no—
502C4×D3—122no—
503C4×D3—242no—
504C4×D3#21314yescomplemented
505C4×D3D3×D412yes—
506C4×D3#23712yes—
507C3×C8—62no—
508C3⋊C8—22no—
509C3⋊C8—62no—
510C3⋊C8—62no—
511C3⋊C8—122no—
512C2×C32—82no—
513C2×C32C2×#12111yescharacteristic
514C2×C32C22×D811yescharacteristic
515C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
516C3⋊D3—42no—
517C3×D3—42no—
518C3×D3—82no—
519C3×D3#45914yescomplemented
520C24—62no—
521C24—181no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—31no—
525C2×D4—32no—
526C2×D4—64no—
527C2×D4—64no—
528C2×D4—62no—
529C2×D4—62no—
530C2×D4—62no—
531C2×D4—61no—
532C2×D4—61no—
533C2×D4—94no—
534C2×D4—91no—
535C2×D4—124no—
536C2×D4—124no—
537C2×D4—182no—
538C2×D4—181no—
539C2×D4C2×D3212yes—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—31no—
543C22×C4—61no—
544C22×C4—181no—
545C22×C4—181no—
546C22×C4—181no—
547C22×C4—181no—
548C22×C4—364no—
549D8—64no—
550D8—184no—
551D8—184no—
552D8—184no—
553C2×C8—32no—
554C2×C8—92no—
555C2×C8—184no—
556C4⋊C4—31no—
557C4⋊C4—91no—
558C4⋊C4—181no—
559C22⋊C4—61no—
560C22⋊C4—181no—
561C22⋊C4—181no—
562C22⋊C4—181no—
563C42—31no—
564C42—31no—
565C42—31no—
566C42C2×D3211yescharacteristic
567C22×C3—21no—
568C22×C3—32no—
569C22×C3—32no—
570C22×C3—32no—
571C22×C3—42no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—62no—
578C22×C3—82no—
579C22×C3—82no—
580C22×C3—82no—
581C22×C3—121no—
582C22×C3—121no—
583C22×C3—122no—
584C22×C3—122no—
585C22×C3—122no—
586C22×C3—248no—
587C22×C3C2×D3×D411yescharacteristic
588C22×C3C22×#6711yescharacteristic
589C2×D3—22no—
590C2×D3—41no—
591C2×D3—41no—
592C2×D3—42no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—62no—
596C2×D3—62no—
597C2×D3—88no—
598C2×D3—122no—
599C2×D3—128no—
600C2×D3—121no—
601C2×D3—121no—
602C2×D3—121no—
603C2×D3—121no—
604C2×D3—128no—
605C2×D3—241no—
606C2×D3—241no—
607C2×D3C2×#21312yes—
608C2×D3#93212yes—
609C2×D3#93812yes—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—22no—
615C3×C4—32no—
616C3×C4—32no—
617C3×C4—41no—
618C3×C4—61no—
619C3×C4—121no—
620C3×C4D3×D812yescomplemented
621C3×C4C2×#21312yescomplemented
622C3×C4C2×D3×D411yescharacteristic
623C3×C4C2×D3×D411yescharacteristic
624C3×C4C2×#23711yescharacteristic
625C3×C4D3×#4111yescharacteristic
626Dic3—21no—
627Dic3—41no—
628Dic3—121no—
629Dic3—121no—
630Dic3—241no—
631Dic3C2×#21312yescomplemented
632Dic3#93812yes—
633C32C2×#45911yescharacteristic, complemented, Sylow
634C23—22no—
635C23—31no—
636C23—61no—
637C23—62no—
638C23—124no—
639C23—124no—
640C23—124no—
641C23—184no—
642C23—181no—
643C23—362no—
644C23—362no—
645D4—22no—
646D4—22no—
647D4—32no—
648D4—42no—
649D4—42no—
650D4—62no—
651D4—61no—
652D4—62no—
653D4—92no—
654D4—122no—
655D4—124no—
656D4—124no—
657D4—124no—
658D4—122no—
659D4—184no—
660D4—181no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—32no—
664C2×C4—32no—
665C2×C4—34no—
666C2×C4—31no—
667C2×C4—62no—
668C2×C4—61no—
669C2×C4—122no—
670C2×C4—181no—
671C2×C4—362no—
672C2×C4—362no—
673C2×C4—362no—
674C2×C4—362no—
675C2×C4D3×#6711yescharacteristic
676C2×C4D3×#6711yescharacteristic
677C2×C4C22×D3211yescharacteristic
678C8—62no—
679C8—182no—
680C2×C3—21no—
681C2×C3—21no—
682C2×C3—21no—
683C2×C3—34no—
684C2×C3—82no—
685C2×C3—82no—
686C2×C3—122no—
687C2×C3—162no—
688C2×C3—242no—
689C2×C3D3×#12111yescharacteristic
690C2×C3C2×D3×D811yescharacteristic
691C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
692C2×C3C22×#21311yescharacteristic
693C2×C3C2×#93211yescharacteristic
694C2×C3C2×#93811yescharacteristic
695D3—42no—
696D3—82no—
697D3—122no—
698D3—122no—
699D3—242no—
700D3#507214yesdirect product factor
701C22—32no—
702C22—32no—
703C22—32no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—62no—
708C22—121no—
709C22—121no—
710C22—122no—
711C22—122no—
712C22—122no—
713C22—182no—
714C22—248no—
715C22—368no—
716C22—361no—
717C22—361no—
718C22C2×D3×#6711yescharacteristic
719C4—21no—
720C4—32no—
721C4—32no—
722C4—61no—
723C4—121no—
724C4—361no—
725C4D3×#21312yescomplemented
726C4D32×D411yescharacteristic
727C4D3×#23711yescharacteristic
728C3—21no—
729C3D3×#45911yescharacteristic, complemented
730C3C2×#507211yescharacteristic, complemented
731C2—34no—
732C2—82no—
733C2—122no—
734C2—242no—
735C2—362no—
736C2C2×D3×#21311yescharacteristic
737C2D3×#93211yescharacteristic
738C2D3×#93811yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#127C22
socleC22×C32C22×D4
hypercenter#127D32
hypocenterC32C2×#459
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #127

Complements

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

NH ≅ G/Ntype
1. C3×D3×#127C2semidirect
2. C2×D3×#213C2semidirect
3. C4×D3×D12C2semidirect
4. #10592771C2semidirect
5. C3×#5072C2semidirect
6. #10591429C2semidirect
7. #10591428C2semidirect
8. D3×#832C2semidirect
9. #10590355C2semidirect
10. #10590347C2semidirect
11. D3×C4⋊(C3⋊C8)C2semidirect
19. C32×#127C22semidirect
20. C2×#3753C22semidirect
21. C4×C4⋊(C3⋊D3)C22semidirect
24. C3×#940C22semidirect
25. C2×C3×#213C22semidirect
26. C3×#874C22semidirect
27. C3×C4×D12C22semidirect
32. #63894C22semidirect
33. Dic3×D12C22semidirect
36. C2×#3714C22semidirect
37. C2×#3713C22semidirect
39. #63659C22semidirect
40. C4⋊(C3⋊(C3⋊C8))C22semidirect
41. C3×#832C22semidirect
42. C3×C4⋊(C3⋊C8)C22semidirect
43. Dic3⋊(C3⋊C8)C22semidirect
44. #63563C22semidirect
45. #63562C22semidirect
49. D3×#127D3semidirect
62. #5072D3direct (N × H)
96. D3×D12D4semidirect
133. C3×#127C2×D3semidirect
134. C3×#127C2×D3semidirect
139. #940C2×D3semidirect
148. C2×#213C2×D3semidirect
160. #874C2×D3semidirect
168. C4×D12C2×D3semidirect
177. #832C2×D3semidirect
185. C4⋊(C3⋊C8)C2×D3semidirect
206. C4⋊(C3⋊D3)C2×D4semidirect
220. C3×D12C2×D4semidirect
223. C3×C4×D3D8semidirect
366. C32×C4C2×D8semidirect
373. C3×Dic3C2×D8semidirect
389. #127D32semidirect
494. D12D3×D4semidirect
504. C4×D3#213semidirect
519. C3×D3#459semidirect
620. C3×C4D3×D8semidirect
621. C3×C4C2×#213semidirect
631. Dic3C2×#213semidirect
633. C32C2×#459semidirect
700. D3#5072direct (N × H)
725. C4D3×#213semidirect
729. C3D3×#459semidirect
730. C3C2×#5072semidirect

Maximal subgroups

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

subgroupindex
C3×D3×#1272
C2×D3×#2132
C4×D3×D122
#105927712
C3×#50722
#105914292
#105914282
D3×#8322
#105903552
#105903472
D3×C4⋊(C3⋊C8)2
C2×#50723
D3×#4593