Finite Group Databasebeta

← D3×#4953 #11808298

Subgroups — D3×#4953 #11808298

Order 1152.

1725 conjugacy classes of subgroups.

The subgroup lattice has 683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×C22⋊C4C211yesmaximal, characteristic
2C2×D3×#217C212yesmaximal
3C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
4#10592652C211yesmaximal, characteristic, complemented
5C3×#4953C211yesmaximal, characteristic, complemented
6#10591717C212yesmaximal, complemented
7D3×C3⋊#95C212yesmaximal, complemented
8D3×C3⋊#95C211yesmaximal, characteristic, complemented
9#10591315C211yesmaximal, characteristic, complemented
10#10591314C211yesmaximal, characteristic, complemented
11#10591297C212yesmaximal, complemented
12C2×#4953—31nomaximal
13D3×#397—31nomaximal
14C24×C3×D3C2211yescharacteristic
15C22×C3×C4×D3C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×D3×Dic3C2212yes—
18C22×D3×Dic3C2212yes—
19C2×C32×C22⋊C4C2211yescharacteristic
20C2×#3757C2212yes—
21C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
22C2×C3×#217C2212yes—
23C2×C3×#217C2211yescharacteristic
24C2×C3×(C2×D3)⋊C4C2211yescharacteristic
25C2×C3×(C2×D3)⋊C4C2211yescharacteristic
26C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
27C3×D3×C22⋊C4—24no—
28D3×#217—28no—
29C2×Dic3⋊Dic3C2212yescomplemented
30C2×(C2×D3)⋊Dic3C2212yes—
31C2×(C2×D3)⋊Dic3C2212yes—
32D3×C4⋊Dic3—24no—
33#63658C2212yescomplemented
34#63658C2211yescharacteristic, complemented
35C3×C3⋊#95C2212yescomplemented
36C3×C3⋊#95C2211yescharacteristic, complemented
37#63579C2212yescomplemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40C22×C3×C22⋊C4—31no—
41C22×#217—32no—
42C22×C4⋊Dic3—31no—
43C2×D3×C4⋊C4—31no—
44C2×D3×C22⋊C4—32no—
45C2×D3×C22⋊C4D311yescharacteristic
46C3×#397—31no—
47C2×C3⋊#95—31no—
48C2×C3⋊#95—32no—
49#4992—31no—
50#4953—31no—
51#4953—31no—
52#4953—32no—
53#4953—31no—
54#4953—32no—
55#4953—31no—
56#4953—61no—
57#4953D311yescharacteristic, direct product factor
58#4952—32no—
59#4675—32no—
60#4674—31no—
61D3×#95—32no—
62D3×#95—31no—
63C24×C32C2311yescharacteristic
64C23×C3×D3—22no—
65C23×C3×D3—22no—
66C23×C3×D3—24no—
67C23×C3×D3—24no—
68C23×C3×D3D414yes—
69C23×C3×D3C2311yescharacteristic
70C23×C3×D3C2311yescharacteristic
71C22×C32×C4C2311yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3C2312yes—
74C22×C3⋊Dic3C2312yes—
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2311yescharacteristic
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2311yescharacteristic
79C2×C3×C4×D3—24no—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3—24no—
82C2×C3×C4×D3D414yes—
83C2×D3×Dic3—24no—
84C2×D3×Dic3—24no—
85C2×D3×Dic3—24no—
86C2×D3×Dic3—24no—
87C2×D3×Dic3—24no—
88C2×D3×Dic3—24no—
89C32×C22⋊C4—22no—
90#3757—24no—
91C4⋊(C3⋊Dic3)—22no—
92C3×#217—24no—
93C3×#217—22no—
94C3×(C2×D3)⋊C4—22no—
95C3×(C2×D3)⋊C4—22no—
96C3×C4⋊Dic3—22no—
97Dic3⋊Dic3—24no—
98(C2×D3)⋊Dic3—24no—
99(C2×D3)⋊Dic3—24no—
100C2×#397—91noSylow
101C25×C3—31no—
102C24×D3C2×D311yescharacteristic
103C23×C3×C4—31no—
104C23×C3×C4—31no—
105C23×Dic3—32no—
106C23×Dic3—32no—
107C22×C4×D3—32no—
108C22×C4×D3—32no—
109C22×C4×D3C2×D311yescharacteristic
110C22×C4×D3C2×D311yescharacteristic
111C2×C3×C4⋊C4—31no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—32no—
114C2×C3×C22⋊C4—31no—
115C2×C3×C22⋊C4—31no—
116C2×C3×C22⋊C4—31no—
117C2×C3×C22⋊C4—64no—
118C2×C3×C22⋊C4C2×D311yescharacteristic
119C2×C3×C22⋊C4C2×D311yescharacteristic
120C2×#217—32no—
121C2×#217—32no—
122C2×#217—32no—
123C2×#217—32no—
124C2×#217—62no—
125C2×#217—68no—
126C2×#217C2×D311yescharacteristic
127C2×#217C2×D312yes—
128C2×(C2×D3)⋊C4—32no—
129C2×(C2×D3)⋊C4—32no—
130C2×(C2×D3)⋊C4C2×D311yescharacteristic
131C2×(C2×D3)⋊C4C2×D311yescharacteristic
132C2×C4⋊Dic3—31no—
133C2×C4⋊Dic3—31no—
134C2×C4⋊Dic3—32no—
135C2×C4⋊Dic3—61no—
136C2×C4⋊Dic3—64no—
137C2×C4⋊Dic3C2×D311yescharacteristic, complemented
138C2×Dic3⋊C4—32no—
139D3×C4⋊C4—64no—
140D3×C22⋊C4—24no—
141D3×C22⋊C4—68no—
142C3×#95—31no—
143C3×#95—32no—
144C3⋊#95—32no—
145C3⋊#95—31no—
146C3⋊#95—31no—
147C3⋊#95—32no—
148C3⋊#95—32no—
149C3⋊#95—32no—
150C3⋊#95—32no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95—32no—
154C3⋊#95—61no—
155C3⋊#95—62no—
156C3⋊#95C2×D311yescharacteristic, complemented
157C3⋊#95C2×D312yescomplemented
158C23×C32—21no—
159C23×C32—21no—
160C23×C32—22no—
161C23×C32—22no—
162C23×C32C2×D412yes—
163C23×C32C2411yescharacteristic
164C22×C3×D3—21no—
165C22×C3×D3—21no—
166C22×C3×D3—22no—
167C22×C3×D3—22no—
168C22×C3×D3—28no—
169C22×C3×D3—216no—
170C22×C3×D3—44no—
171C22×C3×D3—44no—
172C22×C3×D3—48no—
173C22×C3×D3C2×D412yes—
174C22×C3×D3C2×D412yes—
175C22×C3×D3C2×D412yes—
176C22×C3×D3#4112yes—
177C22×C3×D3#4114yes—
178C22×C3×D3#4114yes—
179C2×C32×C4—22no—
180C2×C32×C4—21no—
181C2×C32×C4—22no—
182C2×C32×C4C2×D412yes—
183C2×C3⋊Dic3—22no—
184C2×C3⋊Dic3—22no—
185C2×C3⋊Dic3—22no—
186C2×C3⋊Dic3—22no—
187C2×C3⋊Dic3—22no—
188C2×C3⋊Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—21no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3C2×D412yes—
199C3×C4×D3—28no—
200C3×C4×D3—44no—
201D3×Dic3—48no—
202D3×Dic3—48no—
203C22×C4⋊C4—91no—
204C22×C22⋊C4—31no—
205C22×C22⋊C4—92no—
206#397—31no—
207#397—91no—
208#397—92no—
209#397—92no—
210#397—91no—
211#397—91no—
212C2×#95—91no—
213C2×#95—92no—
214C24×C3—21no—
215C24×C3—31no—
216C24×C3—34no—
217C24×C3—31no—
218C24×C3—62no—
219C24×C3—64no—
220C24×C3—64no—
221C24×C3—62no—
222C24×C3C22×D311yescharacteristic
223C24×C3C22×D311yescharacteristic
224C23×D3—22no—
225C23×D3—24no—
226C23×D3—24no—
227C23×D3—22no—
228C23×D3D1214yes—
229C23×D3C22×D311yescharacteristic
230C23×D3C22×D311yescharacteristic
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4—31no—
234C22×C3×C4—34no—
235C22×C3×C4—31no—
236C22×C3×C4—32no—
237C22×C3×C4—32no—
238C22×C3×C4—64no—
239C22×C3×C4—62no—
240C22×C3×C4—64no—
241C22×C3×C4C22×D311yescharacteristic
242C22×C3×C4C22×D311yescharacteristic
243C22×C3×C4C22×D311yescharacteristic
244C22×C3×C4C22×D311yescharacteristic
245C22×Dic3—32no—
246C22×Dic3—32no—
247C22×Dic3—32no—
248C22×Dic3—32no—
249C22×Dic3—62no—
250C22×Dic3—62no—
251C22×Dic3—64no—
252C22×Dic3—64no—
253C22×Dic3—64no—
254C22×Dic3—64no—
255C22×Dic3—64no—
256C22×Dic3—64no—
257C22×Dic3C22×D311yescharacteristic
258C22×Dic3C22×D312yes—
259C22×Dic3C22×D312yes—
260C22×Dic3C22×D311yescharacteristic
261C2×C4×D3—24no—
262C2×C4×D3—24no—
263C2×C4×D3—22no—
264C2×C4×D3—64no—
265C2×C4×D3—64no—
266C2×C4×D3—64no—
267C2×C4×D3—64no—
268C2×C4×D3—64no—
269C2×C4×D3—64no—
270C2×C4×D3#6714yes—
271C3×C4⋊C4—62no—
272C3×C22⋊C4—22no—
273C3×C22⋊C4—22no—
274C3×C22⋊C4—42no—
275C3×C22⋊C4—62no—
276C3×C22⋊C4—62no—
277C3×C22⋊C4—64no—
278C3×C22⋊C4—62no—
279#217—24no—
280#217—22no—
281#217—64no—
282#217—64no—
283#217—64no—
284#217—64no—
285#217—124no—
286(C2×D3)⋊C4—22no—
287(C2×D3)⋊C4—22no—
288(C2×D3)⋊C4—64no—
289(C2×D3)⋊C4—64no—
290C4⋊Dic3—22no—
291C4⋊Dic3—64no—
292C4⋊Dic3—62no—
293C4⋊Dic3—62no—
294C4⋊Dic3—122no—
295Dic3⋊C4—64no—
296C22×C32—22no—
297C22×C32—24no—
298C22×C32—41no—
299C22×C32—41no—
300C22×C32—42no—
301C22×C32C22×D411yescharacteristic
302C22×C32C22×D411yescharacteristic
303C22×C32C2×#4111yescharacteristic
304C22×C32C2×#4112yes—
305C22×C32C2×#4112yes—
306C2×C3×D3—22no—
307C2×C3×D3—24no—
308C2×C3×D3—41no—
309C2×C3×D3—41no—
310C2×C3×D3—42no—
311C2×C3×D3—416no—
312C2×C3×D3#12114yes—
313C2×C3×D3#12318yes—
314C2×C3×D3#12314yes—
315C2×C3×D3#12414yes—
316C2×C3×D3#12618yes—
317C32×C4—22no—
318C32×C4—41no—
319C3⋊Dic3—42no—
320C3⋊Dic3—42no—
321C3×Dic3—22no—
322C3×Dic3—42no—
323C3×Dic3—42no—
324C3×Dic3—41no—
325C25—31no—
326C23×C4—31no—
327C23×C4—31no—
328C23×C4—92no—
329C23×C4—92no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—92no—
332C2×C4⋊C4—91no—
333C2×C4⋊C4—184no—
334C2×C22⋊C4—31no—
335C2×C22⋊C4—32no—
336C2×C22⋊C4—31no—
337C2×C22⋊C4—31no—
338C2×C22⋊C4—64no—
339C2×C22⋊C4—92no—
340C2×C22⋊C4—92no—
341C2×C22⋊C4—92no—
342C2×C22⋊C4—188no—
343C2×C22⋊C4D3211yescharacteristic
344#95—31no—
345#95—32no—
346#95—92no—
347#95—92no—
348#95—92no—
349#95—91no—
350#95—92no—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—22no—
354C23×C3—22no—
355C23×C3—21no—
356C23×C3—22no—
357C23×C3—22no—
358C23×C3—21no—
359C23×C3—21no—
360C23×C3—22no—
361C23×C3—32no—
362C23×C3—32no—
363C23×C3—32no—
364C23×C3—34no—
365C23×C3—34no—
366C23×C3—32no—
367C23×C3—41no—
368C23×C3—41no—
369C23×C3—42no—
370C23×C3—42no—
371C23×C3—616no—
372C23×C3—68no—
373C23×C3—61no—
374C23×C3—61no—
375C23×C3—62no—
376C23×C3—62no—
377C23×C3—124no—
378C23×C3—124no—
379C23×C3—128no—
380C23×C3C2×D1212yes—
381C23×C3D3×D412yes—
382C23×C3C23×D311yescharacteristic
383C23×C3C23×D311yescharacteristic
384C22×D3—21no—
385C22×D3—22no—
386C22×D3—22no—
387C22×D3—21no—
388C22×D3—216no—
389C22×D3—28no—
390C22×D3—48no—
391C22×D3—44no—
392C22×D3—44no—
393C22×D3C2×D1212yes—
394C22×D3C2×D1212yes—
395C22×D3#23512yes—
396C22×D3#23714yes—
397C22×D3#23714yes—
398C22×D3C2×#6712yes—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—21no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—21no—
405C2×C3×C4—22no—
406C2×C3×C4—32no—
407C2×C3×C4—42no—
408C2×C3×C4—41no—
409C2×C3×C4—42no—
410C2×C3×C4—68no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—61no—
416C2×C3×C4—62no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4—62no—
420C2×C3×C4—124no—
421C2×C3×C4D3×D412yes—
422C2×C3×C4C2×#6712yes—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—62no—
433C2×Dic3—62no—
434C2×Dic3—62no—
435C2×Dic3—62no—
436C2×Dic3—62no—
437C2×Dic3—62no—
438C2×Dic3—62no—
439C2×Dic3—62no—
440C2×Dic3—62no—
441C2×Dic3—62no—
442C2×Dic3—62no—
443C2×Dic3—62no—
444C2×Dic3—122no—
445C2×Dic3—122no—
446C2×Dic3—122no—
447C2×Dic3—122no—
448C2×Dic3—122no—
449C2×Dic3—122no—
450C2×Dic3—128no—
451C2×Dic3—128no—
452C2×Dic3C2×#6712yes—
453C4×D3—28no—
454C4×D3—44no—
455C4×D3—128no—
456C4×D3—128no—
457C2×C32—42no—
458C2×C32C2×#12111yescharacteristic
459C2×C32C2×#12312yes—
460C2×C32C2×#12311yescharacteristic
461C2×C32C2×#12411yescharacteristic
462C2×C32C2×#12612yes—
463C3×D3—42no—
464C3×D3#39718yescomplemented
465C24—31no—
466C24—31no—
467C24—34no—
468C24—62no—
469C24—62no—
470C24—64no—
471C24—64no—
472C24C2×D3211yescharacteristic
473C22×C4—31no—
474C22×C4—34no—
475C22×C4—32no—
476C22×C4—32no—
477C22×C4—31no—
478C22×C4—64no—
479C22×C4—62no—
480C22×C4—64no—
481C22×C4—92no—
482C22×C4—92no—
483C22×C4—184no—
484C22×C4—184no—
485C22×C4—184no—
486C22×C4—184no—
487C22×C4—184no—
488C22×C4—184no—
489C22×C4C2×D3211yescharacteristic
490C22×C4C2×D3211yescharacteristic
491C4⋊C4—62no—
492C4⋊C4—184no—
493C4⋊C4—182no—
494C22⋊C4—22no—
495C22⋊C4—62no—
496C22⋊C4—62no—
497C22⋊C4—64no—
498C22⋊C4—62no—
499C22⋊C4—184no—
500C22⋊C4—184no—
501C22⋊C4—184no—
502C22×C3—24no—
503C22×C3—24no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—21no—
507C22×C3—21no—
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—21no—
511C22×C3—38no—
512C22×C3—34no—
513C22×C3—34no—
514C22×C3—38no—
515C22×C3—34no—
516C22×C3—44no—
517C22×C3—42no—
518C22×C3—41no—
519C22×C3—41no—
520C22×C3—42no—
521C22×C3—42no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3—64no—
525C22×C3—62no—
526C22×C3—82no—
527C22×C3—81no—
528C22×C3—81no—
529C22×C3—1216no—
530C22×C3—121no—
531C22×C3—121no—
532C22×C3—122no—
533C22×C3C22×D1211yescharacteristic
534C22×C3C2×#23511yescharacteristic
535C22×C3C2×D3×D411yescharacteristic
536C22×C3C2×D3×D411yescharacteristic
537C22×C3C2×#23712yes—
538C22×C3C2×#23712yes—
539C22×C3D3×#4111yescharacteristic
540C22×C3D3×#4112yes—
541C22×C3D3×#4112yes—
542C22×C3C22×#6711yescharacteristic
543C2×D3—24no—
544C2×D3—22no—
545C2×D3—42no—
546C2×D3—41no—
547C2×D3—41no—
548C2×D3—416no—
549C2×D3#87918yes—
550C2×D3#88618yes—
551C2×D3#93014yes—
552C2×D3#93514yes—
553C2×D3#93614yes—
554C3×C4—22no—
555C3×C4—22no—
556C3×C4—42no—
557C3×C4—41no—
558C3×C4—41no—
559C3×C4—62no—
560C3×C4—81no—
561C3×C4—121no—
562C3×C4—122no—
563C3×C4—122no—
564Dic3—22no—
565Dic3—42no—
566Dic3—41no—
567Dic3—42no—
568Dic3—122no—
569Dic3—122no—
570Dic3—122no—
571Dic3—122no—
572Dic3—242no—
573Dic3—242no—
574C32C2×#39711yescharacteristic, complemented, Sylow
575C23—21no—
576C23—22no—
577C23—22no—
578C23—21no—
579C23—32no—
580C23—32no—
581C23—34no—
582C23—34no—
583C23—32no—
584C23—32no—
585C23—616no—
586C23—68no—
587C23—61no—
588C23—62no—
589C23—62no—
590C23—61no—
591C23—128no—
592C23—124no—
593C23—124no—
594C23D3×D1212yes—
595C23C22×D3211yescharacteristic
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—32no—
600C2×C4—68no—
601C2×C4—62no—
602C2×C4—62no—
603C2×C4—62no—
604C2×C4—62no—
605C2×C4—62no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4—61no—
609C2×C4—62no—
610C2×C4—124no—
611C2×C4—182no—
612C2×C4—182no—
613C2×C4—182no—
614C2×C4—182no—
615C2×C4—182no—
616C2×C4—182no—
617C2×C4—368no—
618C2×C4—368no—
619C2×C4D3×#6712yes—
620C2×C3—22no—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—22no—
624C2×C3—21no—
625C2×C3—38no—
626C2×C3—42no—
627C2×C3—42no—
628C2×C3—82no—
629C2×C3—122no—
630C2×C3C2×#87912yes—
631C2×C3C2×#88612yes—
632C2×C3D3×#12111yescharacteristic
633C2×C3D3×#12311yescharacteristic
634C2×C3D3×#12312yes—
635C2×C3D3×#12411yescharacteristic
636C2×C3D3×#12612yes—
637C2×C3C2×#93011yescharacteristic
638C2×C3C2×#93511yescharacteristic
639C2×C3C2×#93611yescharacteristic
640D3—42no—
641D3#495318yesdirect product factor
642C22—24no—
643C22—22no—
644C22—38no—
645C22—34no—
646C22—34no—
647C22—38no—
648C22—34no—
649C22—42no—
650C22—41no—
651C22—41no—
652C22—64no—
653C22—62no—
654C22—1216no—
655C22—122no—
656C22—121no—
657C22—121no—
658C22C2×D3×D1211yescharacteristic
659C22D3×#23511yescharacteristic
660C22D3×#23712yes—
661C22D3×#23712yes—
662C22C2×D3×#6711yescharacteristic
663C4—22no—
664C4—41no—
665C4—62no—
666C4—121no—
667C4—122no—
668C4—122no—
669C4—362no—
670C4—362no—
671C3—21no—
672C3D3×#39711yescharacteristic, complemented
673C3C2×#495311yescharacteristic, complemented
674C2—38no—
675C2—42no—
676C2—122no—
677C2D3×#87912yes—
678C2D3×#88612yes—
679C2D3×#93011yescharacteristic
680C2D3×#93511yescharacteristic
681C2D3×#93611yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
prime radicalC24×C3×D3C22
hypercenterC2×C22⋊C4D32
hypocenterC32C2×#397
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
3. C2×D3×C4⋊Dic3C2semidirect
4. #10592652C2semidirect
5. C3×#4953C2semidirect
6. #10591717C2semidirect
7. D3×C3⋊#95C2semidirect
8. D3×C3⋊#95C2semidirect
9. #10591315C2semidirect
10. #10591314C2semidirect
11. #10591297C2semidirect
21. C2×C4⋊(C3⋊Dic3)C22semidirect
26. C2×C3×C4⋊Dic3C22semidirect
29. C2×Dic3⋊Dic3C22semidirect
33. #63658C22semidirect
34. #63658C22semidirect
35. C3×C3⋊#95C22semidirect
36. C3×C3⋊#95C22semidirect
37. #63579C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
57. #4953D3direct (N × H)
137. C2×C4⋊Dic3C2×D3semidirect
156. C3⋊#95C2×D3semidirect
157. C3⋊#95C2×D3semidirect
464. C3×D3#397semidirect
574. C32C2×#397semidirect
641. D3#4953direct (N × H)
672. C3D3×#397semidirect
673. C3C2×#4953semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×C22⋊C42
C2×D3×#2172
C2×D3×C4⋊Dic32
#105926522
C3×#49532
#105917172
D3×C3⋊#952
#105913152
#105913142
#105912972
C2×#49533
D3×#3973