Finite Group Databasebeta

← D3×#4992 #11808302

Subgroups — D3×#4992 #11808302

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×C4⋊C4C211yesmaximal, characteristic, complemented
2C2×D3×(C2×D3)⋊C4C212yesmaximal
3C2×D3×(C2×D3)⋊C4C211yesmaximal, characteristic
4#10592691C211yesmaximal, characteristic, complemented
5C3×#4992C211yesmaximal, characteristic, complemented
6D3×C3⋊#95C212yesmaximal, complemented
7D3×C3⋊#95C211yesmaximal, characteristic, complemented
8#10591326C211yesmaximal, characteristic, complemented
9#10591314C211yesmaximal, characteristic, complemented
10#10591301C212yesmaximal, complemented
11#10591204C212yesmaximal, complemented
12C2×#4992—31nomaximal
13D3×#397—31nomaximal
14C23×D32C2211yescharacteristic
15C22×C3×C4×D3C2212yes—
16C22×C3×C4×D3C2211yescharacteristic
17C22×D3×Dic3C2212yes—
18C22×D3×Dic3C2211yescharacteristic
19C2×C32×C4⋊C4C2211yescharacteristic, complemented
20C2×#3752C2211yescharacteristic
21C2×#3752C2212yes—
22C2×C3×(C2×D3)⋊C4C2212yes—
23C2×C3×(C2×D3)⋊C4C2211yescharacteristic
24C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
25C2×C3×Dic3⋊C4C2212yescomplemented
26C3×D3×C4⋊C4—24no—
27C2×#3722C2212yes—
28C2×#3722C2211yescharacteristic
29C2×(C2×D3)⋊Dic3C2211yescharacteristic
30C2×(C2×D3)⋊Dic3C2212yes—
31D3×(C2×D3)⋊C4—24no—
32D3×(C2×D3)⋊C4—28no—
33#63658C2212yescomplemented
34#63658C2211yescharacteristic, complemented
35C3×C3⋊#95C2211yescharacteristic, complemented
36C3×C3⋊#95C2212yescomplemented
37#63579C2212yescomplemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40C22×C3×C4⋊C4—31no—
41C22×(C2×D3)⋊C4—31no—
42C22×(C2×D3)⋊C4—32no—
43C2×D3×C4⋊C4D311yescharacteristic, complemented
44C2×D3×C22⋊C4—32no—
45C2×D3×C22⋊C4—31no—
46C3×#397—31no—
47C2×C3⋊#95—31no—
48C2×C3⋊#95—32no—
49#4992—31no—
50#4992—31no—
51#4992—32no—
52#4992—31no—
53#4992—31no—
54#4992—32no—
55#4992—61no—
56#4992D311yescharacteristic, direct product factor
57#4953—31no—
58#4952—32no—
59#4675—32no—
60#4674—31no—
61D3×#95—32no—
62D3×#95—31no—
63C23×C3⋊D3C2311yescharacteristic
64C23×C3×D3C2311yescharacteristic
65C23×C3×D3C2311yescharacteristic
66C22×D32—22no—
67C22×D32—22no—
68C22×D32—24no—
69C22×D32—24no—
70C22×D32D414yes—
71C22×C32×C4C2312yes—
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3C2311yescharacteristic
74C22×C3⋊Dic3C2312yes—
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2311yescharacteristic
78C22×C3×Dic3C2311yescharacteristic
79C2×C3×C4×D3—24no—
80C2×C3×C4×D3—24no—
81C2×C3×C4×D3—24no—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3D414yes—
84C2×D3×Dic3—24no—
85C2×D3×Dic3—22no—
86C2×D3×Dic3—24no—
87C2×D3×Dic3—24no—
88C2×D3×Dic3—24no—
89C32×C4⋊C4—22no—
90#3752—24no—
91#3752—22no—
92C3×(C2×D3)⋊C4—24no—
93C3×(C2×D3)⋊C4—22no—
94C3×C4⋊Dic3—22no—
95C3×Dic3⋊C4—24no—
96#3722—24no—
97#3722—22no—
98(C2×D3)⋊Dic3—24no—
99(C2×D3)⋊Dic3—22no—
100C2×#397—91noSylow
101C24×D3—31no—
102C24×D3—31no—
103C23×C3×C4—31no—
104C23×C3×C4—32no—
105C23×Dic3—32no—
106C23×Dic3—31no—
107C22×C4×D3—32no—
108C22×C4×D3—31no—
109C22×C4×D3C2×D312yes—
110C22×C4×D3C2×D311yescharacteristic
111C2×C3×C4⋊C4—21no—
112C2×C3×C4⋊C4—32no—
113C2×C3×C4⋊C4—31no—
114C2×C3×C4⋊C4—64no—
115C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
116C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
117C2×C3×C22⋊C4—32no—
118C2×C3×C22⋊C4—31no—
119C2×#217—31no—
120C2×#217—32no—
121C2×(C2×D3)⋊C4—31no—
122C2×(C2×D3)⋊C4—32no—
123C2×(C2×D3)⋊C4—31no—
124C2×(C2×D3)⋊C4—32no—
125C2×(C2×D3)⋊C4—32no—
126C2×(C2×D3)⋊C4—31no—
127C2×(C2×D3)⋊C4—32no—
128C2×(C2×D3)⋊C4—31no—
129C2×(C2×D3)⋊C4—31no—
130C2×(C2×D3)⋊C4—32no—
131C2×(C2×D3)⋊C4—61no—
132C2×(C2×D3)⋊C4—62no—
133C2×(C2×D3)⋊C4—64no—
134C2×(C2×D3)⋊C4—68no—
135C2×(C2×D3)⋊C4C2×D312yes—
136C2×(C2×D3)⋊C4C2×D311yescharacteristic
137C2×C4⋊Dic3C2×D311yescharacteristic, complemented
138C2×Dic3⋊C4C2×D312yescomplemented
139D3×C4⋊C4—24no—
140D3×C22⋊C4—68no—
141D3×C22⋊C4—64no—
142C3×#95—31no—
143C3×#95—32no—
144C3⋊#95—32no—
145C3⋊#95—31no—
146C3⋊#95—32no—
147C3⋊#95—31no—
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×D312yescomplemented
157C3⋊#95C2×D311yescharacteristic, complemented
158C23×C32C2411yescharacteristic
159C22×C3⋊D3—21no—
160C22×C3⋊D3—22no—
161C22×C3⋊D3—21no—
162C22×C3⋊D3—22no—
163C22×C3⋊D3C2×D412yes—
164C22×C3×D3—21no—
165C22×C3×D3—22no—
166C22×C3×D3—21no—
167C22×C3×D3—22no—
168C22×C3×D3C2×D412yes—
169C22×C3×D3C2×D412yes—
170C22×C3×D3C2×D412yes—
171C22×C3×D3#4114yes—
172C22×C3×D3#4112yes—
173C22×C3×D3#4114yes—
174C2×D32—28no—
175C2×D32—216no—
176C2×D32—44no—
177C2×D32—44no—
178C2×D32—48no—
179C2×C32×C4—22no—
180C2×C32×C4—22no—
181C2×C32×C4—22no—
182C2×C32×C4—22no—
183C2×C32×C4C2×D412yes—
184C2×C3⋊Dic3—22no—
185C2×C3⋊Dic3—21no—
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—21no—
193C2×C3×Dic3—22no—
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—48no—
201D3×Dic3—48no—
202D3×Dic3—44no—
203C22×C4⋊C4—31no—
204C22×C22⋊C4—91no—
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—31no—
215C24×C3—31no—
216C23×D3—31no—
217C23×D3—31no—
218C23×D3—34no—
219C23×D3—34no—
220C23×D3—61no—
221C23×D3—62no—
222C23×D3—64no—
223C23×D3—64no—
224C23×D3—62no—
225C23×D3—64no—
226C23×D3—62no—
227C23×D3—64no—
228C23×D3—62no—
229C23×D3C22×D311yescharacteristic
230C23×D3C22×D311yescharacteristic
231C22×C3×C4—21no—
232C22×C3×C4—22no—
233C22×C3×C4—31no—
234C22×C3×C4—34no—
235C22×C3×C4—32no—
236C22×C3×C4—31no—
237C22×C3×C4—32no—
238C22×C3×C4—64no—
239C22×C3×C4—64no—
240C22×C3×C4—64no—
241C22×C3×C4—64no—
242C22×C3×C4C22×D312yes—
243C22×C3×C4C22×D312yes—
244C22×C3×C4C22×D311yescharacteristic
245C22×C3×C4C22×D311yescharacteristic
246C22×Dic3—32no—
247C22×Dic3—31no—
248C22×Dic3—32no—
249C22×Dic3—31no—
250C22×Dic3—62no—
251C22×Dic3—61no—
252C22×Dic3—64no—
253C22×Dic3—62no—
254C22×Dic3—64no—
255C22×Dic3—64no—
256C22×Dic3—64no—
257C22×Dic3C22×D312yes—
258C22×Dic3C22×D311yescharacteristic
259C22×Dic3C22×D312yes—
260C22×Dic3C22×D311yescharacteristic
261C2×C4×D3—24no—
262C2×C4×D3—24no—
263C2×C4×D3—24no—
264C2×C4×D3—24no—
265C2×C4×D3—64no—
266C2×C4×D3—64no—
267C2×C4×D3—64no—
268C2×C4×D3—64no—
269C2×C4×D3—62no—
270C2×C4×D3#6714yes—
271C3×C4⋊C4—22no—
272C3×C4⋊C4—22no—
273C3×C4⋊C4—42no—
274C3×C4⋊C4—64no—
275C3×C4⋊C4—62no—
276C3×C22⋊C4—64no—
277C3×C22⋊C4—62no—
278#217—64no—
279#217—62no—
280(C2×D3)⋊C4—24no—
281(C2×D3)⋊C4—22no—
282(C2×D3)⋊C4—62no—
283(C2×D3)⋊C4—64no—
284(C2×D3)⋊C4—64no—
285(C2×D3)⋊C4—64no—
286(C2×D3)⋊C4—64no—
287(C2×D3)⋊C4—62no—
288(C2×D3)⋊C4—64no—
289(C2×D3)⋊C4—62no—
290(C2×D3)⋊C4—62no—
291(C2×D3)⋊C4—62no—
292(C2×D3)⋊C4—122no—
293(C2×D3)⋊C4—124no—
294C4⋊Dic3—22no—
295Dic3⋊C4—24no—
296C22×C32C22×D411yescharacteristic
297C22×C32C22×D411yescharacteristic
298C22×C32C2×#4112yes—
299C22×C32C2×#4111yescharacteristic
300C22×C32C2×#4112yes—
301C2×C3⋊D3—22no—
302C2×C3⋊D3—24no—
303C2×C3⋊D3—41no—
304C2×C3⋊D3—41no—
305C2×C3⋊D3—42no—
306C2×C3×D3—22no—
307C2×C3×D3—24no—
308C2×C3×D3—41no—
309C2×C3×D3—41no—
310C2×C3×D3—42no—
311C2×C3×D3#12114yes—
312C2×C3×D3#12318yes—
313C2×C3×D3#12314yes—
314C2×C3×D3#12414yes—
315C2×C3×D3#12618yes—
316D32—416no—
317C32×C4—22no—
318C32×C4—42no—
319C3⋊Dic3—42no—
320C3⋊Dic3—41no—
321C3×Dic3—22no—
322C3×Dic3—42no—
323C3×Dic3—42no—
324C3×Dic3—41no—
325C25—91no—
326C23×C4—31no—
327C23×C4—32no—
328C23×C4—92no—
329C23×C4—91no—
330C2×C4⋊C4—32no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4—64no—
333C2×C4⋊C4D3211yescharacteristic, complemented
334C2×C22⋊C4—32no—
335C2×C22⋊C4—31no—
336C2×C22⋊C4—91no—
337C2×C22⋊C4—92no—
338C2×C22⋊C4—91no—
339C2×C22⋊C4—92no—
340C2×C22⋊C4—92no—
341C2×C22⋊C4—91no—
342C2×C22⋊C4—184no—
343C2×C22⋊C4—188no—
344#95—32no—
345#95—31no—
346#95—92no—
347#95—92no—
348#95—92no—
349#95—92no—
350#95—91no—
351C23×C3—21no—
352C23×C3—32no—
353C23×C3—32no—
354C23×C3—34no—
355C23×C3—34no—
356C23×C3—32no—
357C23×C3—32no—
358C23×C3—62no—
359C23×C3—61no—
360C23×C3—62no—
361C23×C3—61no—
362C23×C3C23×D311yescharacteristic
363C23×C3C23×D311yescharacteristic
364C22×D3—21no—
365C22×D3—22no—
366C22×D3—21no—
367C22×D3—22no—
368C22×D3—32no—
369C22×D3—32no—
370C22×D3—62no—
371C22×D3—616no—
372C22×D3—68no—
373C22×D3—62no—
374C22×D3—61no—
375C22×D3—61no—
376C22×D3—62no—
377C22×D3—62no—
378C22×D3—61no—
379C22×D3—62no—
380C22×D3—61no—
381C22×D3—616no—
382C22×D3—68no—
383C22×D3—121no—
384C22×D3—122no—
385C22×D3—121no—
386C22×D3—122no—
387C22×D3—124no—
388C22×D3—124no—
389C22×D3—128no—
390C22×D3—128no—
391C22×D3—124no—
392C22×D3—124no—
393C22×D3#23514yes—
394C22×D3D3×D412yes—
395C22×D3D3×D412yes—
396C22×D3#23712yes—
397C22×D3#23914yes—
398C22×D3C2×#6712yes—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—32no—
409C2×C3×C4—42no—
410C2×C3×C4—42no—
411C2×C3×C4—42no—
412C2×C3×C4—42no—
413C2×C3×C4—68no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—62no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4—62no—
420C2×C3×C4—62no—
421C2×C3×C4—62no—
422C2×C3×C4—61no—
423C2×C3×C4—128no—
424C2×C3×C4D3×D412yes—
425C2×C3×C4C2×#6712yes—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—21no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—62no—
436C2×Dic3—62no—
437C2×Dic3—61no—
438C2×Dic3—62no—
439C2×Dic3—62no—
440C2×Dic3—62no—
441C2×Dic3—62no—
442C2×Dic3—62no—
443C2×Dic3—62no—
444C2×Dic3—61no—
445C2×Dic3—122no—
446C2×Dic3—121no—
447C2×Dic3—122no—
448C2×Dic3—122no—
449C2×Dic3—122no—
450C2×Dic3—128no—
451C2×Dic3—124no—
452C2×Dic3C2×#6712yes—
453C4×D3—28no—
454C4×D3—48no—
455C4×D3—128no—
456C4×D3—124no—
457C2×C32C2×#12111yescharacteristic
458C2×C32C2×#12312yes—
459C2×C32C2×#12311yescharacteristic
460C2×C32C2×#12411yescharacteristic
461C2×C32C2×#12612yes—
462C3⋊D3—42no—
463C3×D3—42no—
464C3×D3#39718yescomplemented
465C24—31no—
466C24—31no—
467C24—94no—
468C24—91no—
469C24—182no—
470C24—184no—
471C24—182no—
472C24—184no—
473C22×C4—31no—
474C22×C4—34no—
475C22×C4—32no—
476C22×C4—31no—
477C22×C4—32no—
478C22×C4—64no—
479C22×C4—64no—
480C22×C4—64no—
481C22×C4—64no—
482C22×C4—92no—
483C22×C4—91no—
484C22×C4—184no—
485C22×C4—182no—
486C22×C4—184no—
487C22×C4—184no—
488C22×C4—184no—
489C22×C4C2×D3212yes—
490C22×C4C2×D3211yescharacteristic
491C4⋊C4—22no—
492C4⋊C4—64no—
493C4⋊C4—62no—
494C22⋊C4—64no—
495C22⋊C4—62no—
496C22⋊C4—184no—
497C22⋊C4—182no—
498C22⋊C4—182no—
499C22⋊C4—184no—
500C22⋊C4—184no—
501C22⋊C4—182no—
502C22×C3—22no—
503C22×C3—21no—
504C22×C3—21no—
505C22×C3—22no—
506C22×C3—21no—
507C22×C3—38no—
508C22×C3—34no—
509C22×C3—34no—
510C22×C3—38no—
511C22×C3—34no—
512C22×C3—64no—
513C22×C3—62no—
514C22×C3—122no—
515C22×C3—121no—
516C22×C3—121no—
517C22×C3C2×#23512yes—
518C22×C3C2×D3×D411yescharacteristic
519C22×C3C2×D3×D411yescharacteristic
520C22×C3C2×D3×D411yescharacteristic
521C22×C3C2×#23711yescharacteristic
522C22×C3C2×#23912yes—
523C22×C3D3×#4112yes—
524C22×C3D3×#4111yescharacteristic
525C22×C3D3×#4112yes—
526C22×C3C22×#6711yescharacteristic
527C2×D3—24no—
528C2×D3—22no—
529C2×D3—41no—
530C2×D3—41no—
531C2×D3—42no—
532C2×D3—64no—
533C2×D3—64no—
534C2×D3—62no—
535C2×D3—62no—
536C2×D3—124no—
537C2×D3—122no—
538C2×D3—1216no—
539C2×D3—121no—
540C2×D3—121no—
541C2×D3—122no—
542C2×D3—122no—
543C2×D3—121no—
544C2×D3—121no—
545C2×D3—1216no—
546C2×D3—242no—
547C2×D3—241no—
548C2×D3—241no—
549C2×D3#89418yes—
550C2×D3#89818yes—
551C2×D3#92914yes—
552C2×D3#93814yes—
553C2×D3#94714yes—
554C3×C4—22no—
555C3×C4—22no—
556C3×C4—42no—
557C3×C4—42no—
558C3×C4—42no—
559C3×C4—62no—
560C3×C4—82no—
561C3×C4—122no—
562C3×C4—121no—
563C3×C4—122no—
564Dic3—22no—
565Dic3—42no—
566Dic3—41no—
567Dic3—42no—
568Dic3—122no—
569Dic3—121no—
570Dic3—122no—
571Dic3—121no—
572Dic3—242no—
573Dic3—241no—
574C32C2×#39711yescharacteristic, complemented, Sylow
575C23—34no—
576C23—32no—
577C23—32no—
578C23—34no—
579C23—32no—
580C23—32no—
581C23—62no—
582C23—61no—
583C23—62no—
584C23—61no—
585C23—92no—
586C23—1816no—
587C23—188no—
588C23—182no—
589C23—181no—
590C23—182no—
591C23—181no—
592C23—368no—
593C23—364no—
594C23—364no—
595C23C22×D3211yescharacteristic
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—32no—
601C2×C4—68no—
602C2×C4—62no—
603C2×C4—62no—
604C2×C4—62no—
605C2×C4—62no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—61no—
610C2×C4—62no—
611C2×C4—128no—
612C2×C4—182no—
613C2×C4—182no—
614C2×C4—182no—
615C2×C4—182no—
616C2×C4—181no—
617C2×C4—368no—
618C2×C4—364no—
619C2×C4D3×#6712yes—
620C2×C3—22no—
621C2×C3—22no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—21no—
625C2×C3—38no—
626C2×C3—122no—
627C2×C3C2×#89412yes—
628C2×C3C2×#89812yes—
629C2×C3D3×#12111yescharacteristic
630C2×C3D3×#12312yes—
631C2×C3D3×#12311yescharacteristic
632C2×C3D3×#12411yescharacteristic
633C2×C3D3×#12612yes—
634C2×C3C2×#92911yescharacteristic
635C2×C3C2×#93811yescharacteristic
636C2×C3C2×#94711yescharacteristic
637D3—42no—
638D3—122no—
639D3—122no—
640D3—242no—
641D3#499218yesdirect product factor
642C22—38no—
643C22—38no—
644C22—34no—
645C22—34no—
646C22—34no—
647C22—64no—
648C22—62no—
649C22—122no—
650C22—121no—
651C22—121no—
652C22—184no—
653C22—182no—
654C22—3616no—
655C22—362no—
656C22—361no—
657C22—361no—
658C22D3×#23512yes—
659C22D32×D411yescharacteristic
660C22D3×#23711yescharacteristic
661C22D3×#23912yes—
662C22C2×D3×#6711yescharacteristic
663C4—22no—
664C4—42no—
665C4—62no—
666C4—122no—
667C4—121no—
668C4—122no—
669C4—362no—
670C4—361no—
671C3—21no—
672C3D3×#39711yescharacteristic, complemented
673C3C2×#499211yescharacteristic, complemented
674C2—38no—
675C2—122no—
676C2—362no—
677C2D3×#89412yes—
678C2D3×#89812yes—
679C2D3×#92911yescharacteristic
680C2D3×#93811yescharacteristic
681C2D3×#94711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C4⋊C4C22
prime radicalC23×D32C22
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#397
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×D3×C4⋊C4C2semidirect
4. #10592691C2semidirect
5. C3×#4992C2semidirect
6. D3×C3⋊#95C2semidirect
7. D3×C3⋊#95C2semidirect
8. #10591326C2semidirect
9. #10591314C2semidirect
10. #10591301C2semidirect
11. #10591204C2semidirect
19. C2×C32×C4⋊C4C22semidirect
24. C2×C3×C4⋊Dic3C22semidirect
25. C2×C3×Dic3⋊C4C22semidirect
33. #63658C22semidirect
34. #63658C22semidirect
35. C3×C3⋊#95C22semidirect
36. C3×C3⋊#95C22semidirect
37. #63579C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
43. C2×D3×C4⋊C4D3semidirect
56. #4992D3direct (N × H)
115. C2×C3×C4⋊C4C2×D3semidirect
116. C2×C3×C4⋊C4C2×D3semidirect
137. C2×C4⋊Dic3C2×D3semidirect
138. C2×Dic3⋊C4C2×D3semidirect
156. C3⋊#95C2×D3semidirect
157. C3⋊#95C2×D3semidirect
333. C2×C4⋊C4D32semidirect
464. C3×D3#397semidirect
574. C32C2×#397semidirect
641. D3#4992direct (N × H)
672. C3D3×#397semidirect
673. C3C2×#4992semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×C4⋊C42
C2×D3×(C2×D3)⋊C42
#105926912
C3×#49922
D3×C3⋊#952
#105913262
#105913142
#105913012
#105912042
C2×#49923
D3×#3973