Finite Group Databasebeta

← D3×#4739 #11863663

Subgroups — D3×#4739 #11863663

Order 1152.

1554 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×Dic6C211yesmaximal, characteristic
2D3×#924C211yesmaximal, characteristic
3C2×D3×Dic12C212yesmaximal, complemented
4#10592438C211yesmaximal, characteristic, complemented
5C3×#4739C211yesmaximal, characteristic, complemented
6C3×D3×C22⋊C8C211yesmaximal, characteristic
7#10591190C211yesmaximal, characteristic, complemented
8#10591186C211yesmaximal, characteristic, complemented
9#10590952C212yesmaximal, complemented
10#10590949C212yesmaximal, complemented
11D3×#816C212yesmaximal, complemented
12D3×#451—31nomaximal
13C2×#4739—31nomaximal
14C22×#634C2211yescharacteristic
15C22×C3×C4×D3C2211yescharacteristic
16C22×C3×Dic6C2211yescharacteristic
17C22×#627—21no—
18C22×D3×Dic3—21no—
19C2×D3×Dic6—21no—
20C2×D3×Dic6—21no—
21C2×D3×Dic6—28no—
22C2×D3×Dic6C2212yes—
23C2×D3×Dic6C2211yescharacteristic
24C2×D3×Dic6C2212yes—
25#64133C2211yescharacteristic
26C2×#3746C2212yescomplemented
27C3×#924C2211yescharacteristic
28C2×C3×Dic12C2212yescomplemented
29C2×C3×D3×C8C2212yes—
30D3×#217—21no—
31#63964—21no—
32D3×C4⋊Dic3C2211yescharacteristic
33D3×Dic3⋊C4—21no—
34#63857C2211yescharacteristic
35#63856C2211yescharacteristic
36#63851—21no—
37C2×#3719C2212yescomplemented
38C2×#3719C2212yescomplemented
39D3×Dic12—28no—
40C32×C22⋊C8C2211yescharacteristic
41#63643C2212yescomplemented
42C3×#830C2211yescharacteristic
43C3×(C2×D3)⋊C8C2212yes—
44C3×#816C2212yescomplemented
45#63567C2212yescomplemented
46#63566C2212yescomplemented
47C22×D3×Q8—31no—
48C23×Dic6—31no—
49C2×#924—31no—
50C2×D3×Q16—32no—
51C22×Dic12—32no—
52D3×C22⋊Q8—31no—
53C3×#451—31no—
54C2×C3×C22⋊C8—31no—
55#5228—31no—
56#5186—32no—
57C2×#816—32no—
58#5050—31no—
59#4809—32no—
60D3×#103—32no—
61#4739—31no—
62#4739—31no—
63#4739—32no—
64#4739—31no—
65#4739—31no—
66#4739—32no—
67#4739—61no—
68#4739D311yescharacteristic, direct product factor
69D3×C22⋊C8D311yescharacteristic
70C23×C3×D3D411yescharacteristic
71C22×C32×C4C2311yescharacteristic
72C22×C3⋊Dic3—21no—
73C2×#634—21no—
74C2×#634—24no—
75C2×#634C2311yescharacteristic
76C2×#634C2312yes—
77C22×C3×Dic3—21no—
78C22×C3×Dic3D411yescharacteristic
79C2×C3×C4×D3—24no—
80C2×C3×C4×D3D411yescharacteristic
81C2×C3×C4×D3D411yescharacteristic
82C2×C3×C4×D3C2311yescharacteristic
83C2×C3×C4×D3C2311yescharacteristic
84C2×C3×Dic6—21no—
85C2×C3×Dic6—24no—
86C2×C3×Dic6C2311yescharacteristic
87C2×C3×Dic6C2312yes—
88C2×#627—28no—
89C2×#627—22no—
90C2×#627—22no—
91C2×#627—21no—
92C2×D3×Dic3—28no—
93C2×D3×Dic3—22no—
94C2×D3×Dic3—22no—
95C2×D3×Dic3—21no—
96C2×D3×Dic3—21no—
97D3×Dic6—28no—
98D3×Dic6—28no—
99D3×Dic6—24no—
100D3×Dic6—24no—
101D3×Dic6—24no—
102D3×Dic6—24no—
103D3×Dic6D418yes—
104C2×C32×C8C2312yes—
105#3757—21no—
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107#3750—21no—
108#3746—24no—
109C3×#217—21no—
110C3×C4⋊Dic3C2311yescharacteristic
111C3×Dic3⋊C4—21no—
112C2×C3×C3⋊C8C2312yes—
113C3×Dic12—24no—
114C3×D3×C8—24no—
115#3724—21no—
116Dic3⋊Dic3—21no—
117Dic3⋊Dic3—21no—
118(C2×D3)⋊Dic3—21no—
119(C2×D3)⋊Dic3—21no—
120#3719—24no—
121#3719—24no—
122C2×#451—91noSylow
123C22×C3×Q8—31no—
124C23×C3×C4—31no—
125C23×Dic3—61no—
126C2×D3×Q8—32no—
127C2×D3×Q8—32no—
128C2×D3×Q8—31no—
129C2×D3×Q8—68no—
130C2×D3×Q8—61no—
131C2×D3×Q8—61no—
132C22×C4×D3—61no—
133C22×C4×D3C2×D311yescharacteristic
134C22×Dic6—32no—
135C22×Dic6—31no—
136C22×Dic6—31no—
137C22×Dic6—32no—
138C22×Dic6—31no—
139C22×Dic6—61no—
140C22×Dic6—68no—
141C22×Dic6—61no—
142C22×Dic6—61no—
143C22×Dic6—61no—
144C22×Dic6—61no—
145C22×Dic6C2×D311yescharacteristic
146C2×C3×Q16—32no—
147C22×C3×C8—32no—
148C3×C22⋊Q8—31no—
149C2×#217—61no—
150#946—31no—
151C2×#216—32no—
152C2×#216—32no—
153C2×C4⋊Dic3—31no—
154#924—31no—
155#924—31no—
156#924—31no—
157#924—31no—
158#924—61no—
159#924—61no—
160#924—61no—
161#924C2×D311yescharacteristic
162C2×Dic3⋊C4—61no—
163D3×Q16—68no—
164C2×Dic12—32no—
165C2×Dic12—32no—
166C2×Dic12—32no—
167C2×Dic12—32no—
168C2×Dic12—62no—
169C2×Dic12—68no—
170C2×Dic12C2×D312yescomplemented
171C2×D3×C8C2×D312yes—
172#897—31no—
173#896—61no—
174D3×C4⋊C4—31no—
175D3×C4⋊C4—61no—
176D3×C22⋊C4—61no—
177#878—61no—
178C3×#103—32no—
179C3×C22⋊C8—21no—
180C3×C22⋊C8—31no—
181C3×C22⋊C8—32no—
182C3×C22⋊C8C2×D311yescharacteristic
183C3×C22⋊C8C2×D311yescharacteristic
184#835—32no—
185#830C2×D311yescharacteristic
186(C2×D3)⋊C8C2×D312yes—
187#816—32no—
188#816—32no—
189#816—32no—
190#816—32no—
191#816—62no—
192#816C2×D312yescomplemented
193#810—32no—
194C23×C32C2×D411yescharacteristic
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3Q1614yescomplemented
198C22×C3×D3C2×D411yescharacteristic
199C22×C3×D3C2×D411yescharacteristic
200C2×C32×C4—22no—
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2411yescharacteristic
203C2×C3⋊Dic3—24no—
204C2×C3⋊Dic3—22no—
205C2×C3⋊Dic3—21no—
206C2×C3⋊Dic3—21no—
207#634—24no—
208#634—22no—
209#634—22no—
210#634C2×D414yes—
211C2×C3×Dic3—24no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—21no—
215C2×C3×Dic3—21no—
216C2×C3×Dic3C2×D411yescharacteristic
217C2×C3×Dic3C2×D411yescharacteristic
218C3×C4×D3—22no—
219C3×C4×D3—22no—
220C3×C4×D3—22no—
221C3×C4×D3C2×D414yes—
222C3×Dic6—24no—
223C3×Dic6—22no—
224C3×Dic6—22no—
225C3×Dic6C2×D414yes—
226#627—28no—
227#627—28no—
228#627—42no—
229D3×Dic3—28no—
230D3×Dic3—28no—
231D3×Dic3—42no—
232D3×Dic3—42no—
233C32×C8—22no—
234C3×C3⋊C8—22no—
235C23×Q8—91no—
236C22×Q16—92no—
237C2×C22⋊Q8—91no—
238#451—31no—
239#451—92no—
240#451—91no—
241#451—92no—
242#451—91no—
243#451—91no—
244C2×#103—92no—
245C2×C22⋊C8—31no—
246C24×C3—31no—
247C23×D3D1211yescharacteristic
248C2×C3×Q8—32no—
249C2×C3×Q8—31no—
250C2×C3×Q8—64no—
251C2×C3×Q8—61no—
252C22×C3×C4—21no—
253C22×C3×C4—31no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C22×C3×C4—31no—
258C22×C3×C4—64no—
259C22×C3×C4—61no—
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×Dic3—21no—
263C22×Dic3—62no—
264C22×Dic3—62no—
265C22×Dic3—68no—
266C22×Dic3—61no—
267C22×Dic3—61no—
268C22×Dic3—61no—
269C22×Dic3—61no—
270C22×Dic3—121no—
271C22×Dic3D1211yescharacteristic
272D3×Q8—38no—
273D3×Q8—64no—
274D3×Q8—64no—
275D3×Q8—68no—
276D3×Q8—68no—
277D3×Q8—64no—
278D3×Q8—64no—
279C2×C4×D3—24no—
280C2×C4×D3—68no—
281C2×C4×D3—62no—
282C2×C4×D3—62no—
283C2×C4×D3—61no—
284C2×C4×D3—61no—
285C2×C4×D3D1211yescharacteristic
286C2×C4×D3D1211yescharacteristic
287C2×C4×D3C22×D311yescharacteristic
288C2×C4×D3C22×D311yescharacteristic
289C2×Dic6—21no—
290C2×Dic6—24no—
291C2×Dic6—32no—
292C2×Dic6—32no—
293C2×Dic6—38no—
294C2×Dic6—31no—
295C2×Dic6—31no—
296C2×Dic6—62no—
297C2×Dic6—61no—
298C2×Dic6—64no—
299C2×Dic6—64no—
300C2×Dic6—68no—
301C2×Dic6—68no—
302C2×Dic6—64no—
303C2×Dic6—64no—
304C2×Dic6—64no—
305C2×Dic6—62no—
306C2×Dic6—62no—
307C2×Dic6—68no—
308C2×Dic6—68no—
309C2×Dic6—61no—
310C2×Dic6—61no—
311C2×Dic6—62no—
312C2×Dic6—62no—
313C2×Dic6—64no—
314C2×Dic6—61no—
315C2×Dic6—61no—
316C2×Dic6—124no—
317C2×Dic6—121no—
318C2×Dic6C22×D311yescharacteristic
319C2×Dic6C22×D312yes—
320C3×Q16—64no—
321C2×C3×C8—22no—
322C2×C3×C8—32no—
323C2×C3×C8—64no—
324C2×C3×C8C22×D312yes—
325C2×C3×C8C22×D312yes—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—61no—
328C3×C22⋊C4—61no—
329#217—21no—
330#217—61no—
331#217—61no—
332#217—61no—
333#217—61no—
334#217—121no—
335#216—64no—
336#216—64no—
337(C2×D3)⋊C4—61no—
338(C2×D3)⋊C4—61no—
339C4⋊Dic3—31no—
340C4⋊Dic3—31no—
341C4⋊Dic3—61no—
342C4⋊Dic3—61no—
343C4⋊Dic3—61no—
344C4⋊Dic3C22×D311yescharacteristic
345Dic3⋊C4—21no—
346Dic3⋊C4—61no—
347Dic3⋊C4—61no—
348Dic3⋊C4—61no—
349Dic3⋊C4—61no—
350Dic3⋊C4—61no—
351Dic3⋊C4—61no—
352Dic3⋊C4—121no—
353C2×C3⋊C8C22×D312yes—
354Dic12—24no—
355Dic12—64no—
356Dic12—64no—
357Dic12—64no—
358Dic12—64no—
359Dic12—124no—
360D3×C8—24no—
361C22×C32—21no—
362C22×C32—21no—
363C22×C32C2×Q1612yescomplemented
364C22×C32C22×D411yescharacteristic
365C2×C3×D3—21no—
366C2×C3×D3—21no—
367C2×C3×D3—28no—
368C2×C3×D3#12012yes—
369C2×C3×D3C2×Q1612yes—
370C2×C3×D3C2×Q1612yescomplemented
371C2×C3×D3#13712yes—
372C32×C4—21no—
373C32×C4C22×D412yes—
374C3⋊Dic3—24no—
375C3⋊Dic3—41no—
376C3⋊Dic3—41no—
377C3×Dic3—24no—
378C3×Dic3—21no—
379C3×Dic3—41no—
380C3×Dic3—41no—
381C3×Dic3#12012yes—
382C22×Q8—31no—
383C22×Q8—92no—
384C22×Q8—91no—
385C22×Q8—92no—
386C22×Q8—91no—
387C22×Q8—181no—
388C22×Q8—181no—
389C22×Q8—181no—
390C22×Q8—188no—
391C23×C4—31no—
392C23×C4—181no—
393C2×Q16—32no—
394C2×Q16—92no—
395C2×Q16—92no—
396C2×Q16—92no—
397C2×Q16—188no—
398C22×C8—32no—
399C22⋊Q8—31no—
400C22⋊Q8—91no—
401C22⋊Q8—91no—
402C22⋊Q8—91no—
403C22⋊Q8—181no—
404C22⋊Q8—181no—
405C2×C4⋊C4—91no—
406C2×C4⋊C4—181no—
407C2×C22⋊C4—181no—
408#103—32no—
409#103—92no—
410#103—92no—
411#103—92no—
412C22⋊C8—31no—
413C22⋊C8—32no—
414C22⋊C8D3211yescharacteristic
415C23×C3—21no—
416C23×C3—31no—
417C23×C3—34no—
418C23×C3—31no—
419C23×C3—62no—
420C23×C3—62no—
421C23×C3C2×D1211yescharacteristic
422C23×C3D3×D411yescharacteristic
423C22×D3—22no—
424C22×D3—22no—
425C22×D3Dic1214yescomplemented
426C22×D3C2×D1211yescharacteristic
427C22×D3C2×D1211yescharacteristic
428C3×Q8—34no—
429C3×Q8—64no—
430C3×Q8—62no—
431C3×Q8—62no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—31no—
437C2×C3×C4—34no—
438C2×C3×C4—31no—
439C2×C3×C4—42no—
440C2×C3×C4—62no—
441C2×C3×C4—62no—
442C2×C3×C4—62no—
443C2×C3×C4—64no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—61no—
447C2×C3×C4—61no—
448C2×C3×C4C2×D1211yescharacteristic
449C2×C3×C4D3×D411yescharacteristic
450C2×C3×C4C23×D311yescharacteristic
451C2×C3×C4C23×D311yescharacteristic
452C2×Dic3—24no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—21no—
456C2×Dic3—21no—
457C2×Dic3—68no—
458C2×Dic3—68no—
459C2×Dic3—64no—
460C2×Dic3—64no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—61no—
464C2×Dic3—61no—
465C2×Dic3—61no—
466C2×Dic3—61no—
467C2×Dic3—122no—
468C2×Dic3—124no—
469C2×Dic3—121no—
470C2×Dic3—121no—
471C2×Dic3—122no—
472C2×Dic3—122no—
473C2×Dic3C2×D1211yescharacteristic
474C2×Dic3C2×D1211yescharacteristic
475C4×D3—22no—
476C4×D3—22no—
477C4×D3—22no—
478C4×D3—68no—
479C4×D3—68no—
480C4×D3—122no—
481C4×D3—122no—
482C4×D3D3×D414yes—
483Dic6—24no—
484Dic6—22no—
485Dic6—22no—
486Dic6—34no—
487Dic6—34no—
488Dic6—64no—
489Dic6—68no—
490Dic6—68no—
491Dic6—68no—
492Dic6—64no—
493Dic6—64no—
494Dic6—62no—
495Dic6—62no—
496Dic6—68no—
497Dic6—62no—
498Dic6—62no—
499Dic6—122no—
500Dic6—124no—
501Dic6—122no—
502Dic6—122no—
503Dic6—122no—
504Dic6D3×D414yes—
505C3×C8—22no—
506C3×C8—22no—
507C3×C8—42no—
508C3×C8—62no—
509C3⋊C8—22no—
510C2×C32—22no—
511C2×C32C2×#12011yescharacteristic
512C2×C32C22×Q1611yescharacteristic
513C2×C32C2×#13711yescharacteristic
514C3×D3—22no—
515C3×D3#45114yescomplemented
516C24—31no—
517C2×Q8—32no—
518C2×Q8—31no—
519C2×Q8—64no—
520C2×Q8—61no—
521C2×Q8—98no—
522C2×Q8—92no—
523C2×Q8—91no—
524C2×Q8—184no—
525C2×Q8—182no—
526C2×Q8—182no—
527C2×Q8—181no—
528C2×Q8—184no—
529C2×Q8—184no—
530C2×Q8—188no—
531C2×Q8—184no—
532C2×Q8—184no—
533C2×Q8—188no—
534C2×Q8—188no—
535C2×Q8—181no—
536C22×C4—31no—
537C22×C4—31no—
538C22×C4—31no—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—64no—
542C22×C4—61no—
543C22×C4—182no—
544C22×C4—182no—
545C22×C4—188no—
546C22×C4—181no—
547C22×C4—181no—
548C22×C4—181no—
549C22×C4C2×D3211yescharacteristic
550Q16—64no—
551Q16—184no—
552Q16—184no—
553Q16—184no—
554C2×C8—32no—
555C2×C8—64no—
556C2×C8C2×D3212yes—
557C4⋊C4—31no—
558C4⋊C4—61no—
559C4⋊C4—91no—
560C4⋊C4—181no—
561C4⋊C4—181no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C22⋊C4—61no—
565C22⋊C4—181no—
566C22⋊C4—181no—
567C22⋊C4—181no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—21no—
571C22×C3—21no—
572C22×C3—21no—
573C22×C3—22no—
574C22×C3—32no—
575C22×C3—32no—
576C22×C3—32no—
577C22×C3—32no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3—68no—
581C22×C3—61no—
582C22×C3—61no—
583C22×C3C2×Dic1212yescomplemented
584C22×C3D3×Q1612yescomplemented
585C22×C3C22×D1211yescharacteristic
586C22×C3C2×D3×D411yescharacteristic
587C2×D3—21no—
588C2×D3—21no—
589C2×D3—28no—
590C2×D3#88212yes—
591C2×D3C2×Dic1212yes—
592C2×D3C2×Dic1212yescomplemented
593C2×D3#90912yes—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—22no—
597C3×C4—32no—
598C3×C4—41no—
599C3×C4—64no—
600C3×C4—61no—
601C3×C4—121no—
602C3×C4—121no—
603C3×C4C2×D3×D412yes—
604C3×C4C2×D3×D412yes—
605Dic3—21no—
606Dic3—24no—
607Dic3—41no—
608Dic3—41no—
609Dic3—64no—
610Dic3—64no—
611Dic3—124no—
612Dic3—121no—
613Dic3—121no—
614Dic3—121no—
615Dic3—121no—
616Dic3—241no—
617Dic3—241no—
618Dic3#88212yes—
619C32C2×#45111yescharacteristic, complemented, Sylow
620C23—31no—
621C23—31no—
622C23—34no—
623C23—62no—
624C23—62no—
625C23D3×D1211yescharacteristic
626Q8—34no—
627Q8—64no—
628Q8—62no—
629Q8—62no—
630Q8—94no—
631Q8—184no—
632Q8—188no—
633Q8—188no—
634Q8—182no—
635Q8—182no—
636Q8—362no—
637C2×C4—22no—
638C2×C4—31no—
639C2×C4—34no—
640C2×C4—31no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—64no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—188no—
650C2×C4—188no—
651C2×C4—184no—
652C2×C4—182no—
653C2×C4—181no—
654C2×C4—181no—
655C2×C4—362no—
656C2×C4—362no—
657C2×C4D3×D1211yescharacteristic
658C2×C4C22×D3211yescharacteristic
659C8—22no—
660C8—62no—
661C2×C3—22no—
662C2×C3—22no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—34no—
667C2×C3—42no—
668C2×C3—62no—
669C2×C3C2×#88211yescharacteristic
670C2×C3D3×#12011yescharacteristic
671C2×C3C22×Dic1211yescharacteristic
672C2×C3C2×#90911yescharacteristic
673C2×C3C2×D3×Q1611yescharacteristic
674C2×C3D3×#13711yescharacteristic
675D3—22no—
676D3#473914yesdirect product factor
677C22—21no—
678C22—21no—
679C22—32no—
680C22—32no—
681C22—32no—
682C22—32no—
683C22—68no—
684C22—61no—
685C22—61no—
686C22D3×Dic1212yescomplemented
687C22C2×D3×D1211yescharacteristic
688C4—21no—
689C4—32no—
690C4—61no—
691C4—64no—
692C4—121no—
693C4—121no—
694C4—184no—
695C4—361no—
696C4—361no—
697C4D32×D412yes—
698C3—21no—
699C3C2×#473911yescharacteristic, complemented
700C3D3×#45111yescharacteristic, complemented
701C2—22no—
702C2—34no—
703C2—62no—
704C2D3×#88211yescharacteristic
705C2C2×D3×Dic1211yescharacteristic
706C2D3×#90911yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radicalC23×C3×D3D4
hypercenterC22⋊C8D32
hypocenterC32C2×#451
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
3. C2×D3×Dic12C2semidirect
4. #10592438C2semidirect
5. C3×#4739C2semidirect
7. #10591190C2semidirect
8. #10591186C2semidirect
9. #10590952C2semidirect
10. #10590949C2semidirect
11. D3×#816C2semidirect
26. C2×#3746C22semidirect
28. C2×C3×Dic12C22semidirect
37. C2×#3719C22semidirect
38. C2×#3719C22semidirect
41. #63643C22semidirect
44. C3×#816C22semidirect
45. #63567C22semidirect
46. #63566C22semidirect
68. #4739D3direct (N × H)
170. C2×Dic12C2×D3semidirect
192. #816C2×D3semidirect
197. C22×C3×D3Q16semidirect
363. C22×C32C2×Q16semidirect
370. C2×C3×D3C2×Q16semidirect
425. C22×D3Dic12semidirect
515. C3×D3#451semidirect
583. C22×C3C2×Dic12semidirect
584. C22×C3D3×Q16semidirect
592. C2×D3C2×Dic12semidirect
619. C32C2×#451semidirect
676. D3#4739direct (N × H)
686. C22D3×Dic12semidirect
699. C3C2×#4739semidirect
700. C3D3×#451semidirect

Maximal subgroups

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

subgroupindex
C22×D3×Dic62
D3×#9242
C2×D3×Dic122
#105924382
C3×#47392
C3×D3×C22⋊C82
#105911902
#105911862
#105909522
#105909492
D3×#8162
D3×#4513
C2×#47393