Finite Group Databasebeta

← D3×#4939 #11801622

Subgroups — D3×#4939 #11801622

Order 1152.

2849 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×D12C211yesmaximal, characteristic
2C2×C3×C42×D3C211yesmaximal, characteristic, complemented
3C2×D3×(C2×D3)⋊C4C214yesmaximal, complemented
4C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
5#10592638C211yesmaximal, characteristic, complemented
6C3×#4939C211yesmaximal, characteristic, complemented
7#10591383C214yesmaximal, complemented
8#10591320C211yesmaximal, characteristic, complemented
9#10591318C211yesmaximal, characteristic, complemented
10C2×#4939—31nomaximal
11D3×#390—31nomaximal
12C23×D32C2212yes—
13C22×C4⋊(C3⋊D3)C2211yescharacteristic
14C22×C3×D12C2211yescharacteristic
15C22×C3×C4×D3C2212yes—
16C22×C3×C4×D3C2211yescharacteristic
17C22×#626C2212yes—
18C22×D3×Dic3C2212yes—
19C2×D3×D12—24no—
20C2×D3×D12—24no—
21C2×D3×D12C418yescomplemented
22C2×C32×C42C2211yescharacteristic, complemented
23C2×#3752C2214yescomplemented
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
25C2×C3×(C2×D3)⋊C4C2214yescomplemented
26C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
27C2×C3×C4×Dic3C2211yescharacteristic, complemented
28C2×C3×C4×Dic3C2212yescomplemented
29C3×C42×D3—24no—
30C2×Dic3⋊Dic3C2212yescomplemented
31C2×#3722C2214yescomplemented
32C2×(C2×D3)⋊Dic3C2214yescomplemented
33D3×(C2×D3)⋊C4—216no—
34D3×C4⋊Dic3—24no—
35C22×D3×D4—31no—
36C23×D12—31no—
37C22×C3×C42—31no—
38C22×(C2×D3)⋊C4—34no—
39C22×C4⋊Dic3—31no—
40C2×D3×C4⋊C4—31no—
41C2×D3×C22⋊C4—34no—
42C2×C42×D3D311yescharacteristic, complemented
43C3×#390—31no—
44#5221—31no—
45#4988—31no—
46#4957—34no—
47#4939—31no—
48#4939—31no—
49#4939—31no—
50#4939—34no—
51#4939—31no—
52#4939—61no—
53#4939D311yescharacteristic, direct product factor
54C23×C3⋊D3C2312yes—
55C23×C3×D3C2312yes—
56C23×C3×D3C2311yescharacteristic
57C22×D32—24no—
58C22×D32—24no—
59C22×D32—28no—
60C22×D32—28no—
61C22×D32C2×C418yes—
62C22×C32×C4C2312yes—
63C22×C32×C4C2311yescharacteristic
64C22×C3⋊Dic3C2312yes—
65C2×C4⋊(C3⋊D3)—22no—
66C2×C4⋊(C3⋊D3)—22no—
67C2×C4⋊(C3⋊D3)C2×C414yescomplemented
68C22×C3×Dic3C2312yes—
69C22×C3×Dic3C2312yes—
70C22×C3×Dic3C2311yescharacteristic
71C2×C3×D12—22no—
72C2×C3×D12—22no—
73C2×C3×D12C2×C414yescomplemented
74C2×C3×C4×D3—24no—
75C2×C3×C4×D3—24no—
76C2×C3×C4×D3C2×C414yes—
77C2×C3×C4×D3D414yes—
78C2×C3×C4×D3D414yes—
79C2×C3×C4×D3D418yescomplemented
80C2×#626—24no—
81C2×#626—24no—
82C2×#626C2×C418yescomplemented
83C2×D3×Dic3—24no—
84C2×D3×Dic3—28no—
85D3×D12—232no—
86C32×C42—22no—
87#3752—28no—
88C4⋊(C3⋊Dic3)—22no—
89C3×(C2×D3)⋊C4—28no—
90C3×C4⋊Dic3—22no—
91C3×C4×Dic3—22no—
92C3×C4×Dic3—24no—
93Dic3⋊Dic3—24no—
94#3722—28no—
95(C2×D3)⋊Dic3—28no—
96C2×#390—91noSylow
97C24×D3—32no—
98C24×D3—32no—
99C22×C3×D4—31no—
100C23×C3×C4—31no—
101C23×C3×C4—32no—
102C22×#67—32no—
103C23×Dic3—32no—
104C2×D3×D4—38no—
105C2×D3×D4—64no—
106C2×D3×D4—64no—
107C22×D12—32no—
108C22×D12—31no—
109C22×D12—31no—
110C22×D12—38no—
111C22×D12—61no—
112C22×D12—64no—
113C22×D12—64no—
114C22×D12C2×D311yescharacteristic
115C22×C4×D3—32no—
116C22×C4×D3C2×D312yes—
117C22×C4×D3C2×D311yescharacteristic
118C2×C3×C4⋊C4—31no—
119C2×C3×C22⋊C4—34no—
120C2×C3×C42—21no—
121C2×C3×C42—32no—
122C2×C3×C42—31no—
123C2×C3×C42—64no—
124C2×C3×C42C2×D311yescharacteristic, complemented
125C2×C3×C42C2×D311yescharacteristic, complemented
126C2×#217—34no—
127C2×(C2×D3)⋊C4—34no—
128C2×(C2×D3)⋊C4—34no—
129C2×(C2×D3)⋊C4—34no—
130C2×(C2×D3)⋊C4—34no—
131C2×(C2×D3)⋊C4—34no—
132C2×(C2×D3)⋊C4—64no—
133C2×(C2×D3)⋊C4—616no—
134C2×(C2×D3)⋊C4C2×D314yescomplemented
135C2×C4⋊Dic3—31no—
136C2×C4⋊Dic3—31no—
137C2×C4⋊Dic3—32no—
138C2×C4⋊Dic3—61no—
139C2×C4⋊Dic3—64no—
140C2×C4⋊Dic3C2×D311yescharacteristic, complemented
141C2×Dic3⋊C4—32no—
142C2×C4×Dic3C2×D312yescomplemented
143C2×C4×Dic3C2×D311yescharacteristic, complemented
144D3×C4⋊C4—64no—
145D3×C22⋊C4—616no—
146C42×D3—24no—
147C23×C32C2411yescharacteristic
148C22×C3⋊D3—24no—
149C22×C3⋊D3—22no—
150C22×C3⋊D3—22no—
151C22×C3⋊D3—24no—
152C22×C3⋊D3C22×C414yes—
153C22×C3×D3—24no—
154C22×C3×D3—22no—
155C22×C3×D3—22no—
156C22×C3×D3—24no—
157C22×C3×D3C22×C414yes—
158C22×C3×D3C22×C412yes—
159C22×C3×D3C2×D412yes—
160C22×C3×D3C2×D414yes—
161C22×C3×D3C2×D412yes—
162C22×C3×D3#4114yes—
163C2×D32—216no—
164C2×D32—232no—
165C2×D32—416no—
166C2×D32—48no—
167C2×D32—48no—
168C2×C32×C4—22no—
169C2×C32×C4—22no—
170C2×C32×C4C22×C412yes—
171C2×C32×C4C2×D412yes—
172C2×C32×C4C2×D412yes—
173C2×C32×C4C2×D414yescomplemented
174C2×C3⋊Dic3—24no—
175C2×C3⋊Dic3—22no—
176C4⋊(C3⋊D3)—28no—
177C2×C3×Dic3—22no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—24no—
180C2×C3×Dic3—22no—
181C2×C3×Dic3C22×C412yes—
182C2×C3×Dic3C2×D412yes—
183C2×C3×Dic3C2×D412yes—
184C2×C3×Dic3C2×D414yescomplemented
185C3×D12—28no—
186C3×C4×D3—216no—
187C3×C4×D3C22⋊C4116yescomplemented
188#626—216no—
189D3×Dic3—48no—
190C23×D4—91no—
191C22×C4⋊C4—91no—
192C22×C22⋊C4—94no—
193C22×C42—31no—
194#390—31no—
195#390—94no—
196#390—91no—
197#390—91no—
198#390—91no—
199C24×C3—31no—
200C24×C3—32no—
201C23×D3—32no—
202C23×D3—32no—
203C23×D3—38no—
204C23×D3—38no—
205C23×D3—62no—
206C23×D3—68no—
207C23×D3—64no—
208C23×D3—64no—
209C23×D3—68no—
210C23×D3—68no—
211C23×D3—64no—
212C23×D3—68no—
213C23×D3—64no—
214C23×D3C22×D312yes—
215C23×D3C22×D311yescharacteristic
216C2×C3×D4—34no—
217C2×C3×D4—62no—
218C2×C3×D4—62no—
219C22×C3×C4—21no—
220C22×C3×C4—22no—
221C22×C3×C4—31no—
222C22×C3×C4—34no—
223C22×C3×C4—34no—
224C22×C3×C4—34no—
225C22×C3×C4—32no—
226C22×C3×C4—38no—
227C22×C3×C4—32no—
228C22×C3×C4—64no—
229C22×C3×C4—64no—
230C22×C3×C4C22×D312yes—
231C22×C3×C4C22×D312yes—
232C22×C3×C4C22×D311yescharacteristic
233C22×C3×C4C22×D311yescharacteristic
234C2×#67—38no—
235C2×#67—64no—
236C2×#67—64no—
237C22×Dic3—32no—
238C22×Dic3—32no—
239C22×Dic3—62no—
240C22×Dic3—64no—
241C22×Dic3—68no—
242C22×Dic3C22×D312yes—
243C22×Dic3C22×D312yes—
244C22×Dic3C22×D311yescharacteristic
245D3×D4—632no—
246C2×D12—22no—
247C2×D12—22no—
248C2×D12—38no—
249C2×D12—34no—
250C2×D12—34no—
251C2×D12—64no—
252C2×D12—632no—
253C2×D12—64no—
254C2×D12—64no—
255C2×D12—62no—
256C2×D12—62no—
257C2×D12—62no—
258C2×D12—62no—
259C2×D12—122no—
260C2×D12—122no—
261C2×D12C4×D314yescomplemented
262C2×C4×D3—24no—
263C2×C4×D3—24no—
264C2×C4×D3—68no—
265C2×C4×D3—64no—
266C2×C4×D3C4×D314yes—
267C2×C4×D3D1214yes—
268C2×C4×D3D1218yescomplemented
269C2×C4×D3#6714yes—
270C3×C4⋊C4—62no—
271C3×C22⋊C4—68no—
272C3×C42—22no—
273C3×C42—22no—
274C3×C42—42no—
275C3×C42—64no—
276C3×C42—62no—
277#217—68no—
278(C2×D3)⋊C4—28no—
279(C2×D3)⋊C4—68no—
280(C2×D3)⋊C4—68no—
281(C2×D3)⋊C4—68no—
282(C2×D3)⋊C4—68no—
283(C2×D3)⋊C4—68no—
284(C2×D3)⋊C4—128no—
285C4⋊Dic3—22no—
286C4⋊Dic3—64no—
287C4⋊Dic3—62no—
288C4⋊Dic3—62no—
289C4⋊Dic3—122no—
290Dic3⋊C4—64no—
291C4×Dic3—22no—
292C4×Dic3—24no—
293C22×C32C23×C411yescharacteristic
294C22×C32C22×D411yescharacteristic
295C22×C32C22×D412yes—
296C22×C32C22×D411yescharacteristic
297C22×C32C2×#4112yes—
298C2×C3⋊D3—24no—
299C2×C3⋊D3—28no—
300C2×C3⋊D3—44no—
301C2×C3⋊D3—42no—
302C2×C3⋊D3—42no—
303C2×C3×D3—24no—
304C2×C3×D3—28no—
305C2×C3×D3—44no—
306C2×C3×D3—42no—
307C2×C3×D3—42no—
308C2×C3×D3C2×C22⋊C414yes—
309C2×C3×D3C4×D418yes—
310C2×C3×D3#12118yes—
311C2×C3×D3#12414yes—
312C2×C3×D3#12714yes—
313D32—432no—
314C32×C4—24no—
315C32×C4C2×C22⋊C414yescomplemented
316C3⋊Dic3—42no—
317C3×Dic3—24no—
318C3×Dic3—42no—
319C3×Dic3C2×C22⋊C414yescomplemented
320C25—92no—
321C22×D4—31no—
322C22×D4—98no—
323C22×D4—92no—
324C22×D4—91no—
325C22×D4—184no—
326C22×D4—184no—
327C23×C4—31no—
328C23×C4—32no—
329C23×C4—92no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—92no—
332C2×C4⋊C4—91no—
333C2×C4⋊C4—184no—
334C2×C22⋊C4—34no—
335C2×C22⋊C4—94no—
336C2×C22⋊C4—94no—
337C2×C22⋊C4—94no—
338C2×C22⋊C4—1816no—
339C2×C42—32no—
340C2×C42—31no—
341C2×C42—64no—
342C2×C42D3211yescharacteristic, complemented
343C23×C3—21no—
344C23×C3—32no—
345C23×C3—32no—
346C23×C3—34no—
347C23×C3—32no—
348C23×C3—34no—
349C23×C3—34no—
350C23×C3—64no—
351C23×C3—62no—
352C23×C3—64no—
353C23×C3—62no—
354C23×C3C23×D311yescharacteristic
355C23×C3C23×D311yescharacteristic
356C22×D3—24no—
357C22×D3—22no—
358C22×D3—22no—
359C22×D3—24no—
360C22×D3—34no—
361C22×D3—34no—
362C22×D3—64no—
363C22×D3—616no—
364C22×D3—632no—
365C22×D3—64no—
366C22×D3—62no—
367C22×D3—64no—
368C22×D3—64no—
369C22×D3—62no—
370C22×D3—62no—
371C22×D3—64no—
372C22×D3—62no—
373C22×D3—632no—
374C22×D3—616no—
375C22×D3—124no—
376C22×D3—122no—
377C22×D3—122no—
378C22×D3—124no—
379C22×D3—128no—
380C22×D3—128no—
381C22×D3—1216no—
382C22×D3—128no—
383C22×D3—128no—
384C22×D3—1216no—
385C22×D3C2×C4×D314yes—
386C22×D3C2×C4×D312yes—
387C22×D3C2×D1214yes—
388C22×D3C2×D1212yes—
389C22×D3#23514yes—
390C22×D3C2×#6712yes—
391C3×D4—68no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—24no—
399C2×C3×C4—22no—
400C2×C3×C4—32no—
401C2×C3×C4—32no—
402C2×C3×C4—32no—
403C2×C3×C4—316no—
404C2×C3×C4—34no—
405C2×C3×C4—42no—
406C2×C3×C4—42no—
407C2×C3×C4—616no—
408C2×C3×C4—62no—
409C2×C3×C4—62no—
410C2×C3×C4—62no—
411C2×C3×C4—64no—
412C2×C3×C4C2×C4×D312yes—
413C2×C3×C4C2×C4×D312yes—
414C2×C3×C4C2×D1212yes—
415C2×C3×C4C2×D1214yescomplemented
416C2×C3×C4D3×D412yes—
417C2×C3×C4D3×D412yes—
418C2×C3×C4D3×D414yescomplemented
419C2×C3×C4C2×#6712yes—
420#67—616no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—24no—
425C2×Dic3—62no—
426C2×Dic3—64no—
427C2×Dic3—62no—
428C2×Dic3—64no—
429C2×Dic3—122no—
430C2×Dic3—124no—
431C2×Dic3—128no—
432C2×Dic3C2×C4×D312yes—
433C2×Dic3C2×D1212yes—
434C2×Dic3C2×D1214yescomplemented
435C2×Dic3C2×#6712yes—
436D12—28no—
437D12—616no—
438D12—68no—
439D12—68no—
440D12—128no—
441C4×D3—216no—
442C4×D3—128no—
443C4×D3(C2×D3)⋊C4116yescomplemented
444C2×C32C22×C22⋊C411yescharacteristic
445C2×C32C2×C4×D412yes—
446C2×C32C2×#12112yes—
447C2×C32C2×#12411yescharacteristic
448C2×C32C2×#12711yescharacteristic
449C3⋊D3—44no—
450C3×D3—44no—
451C3×D3#39018yescomplemented
452C24—31no—
453C24—32no—
454C24—98no—
455C24—92no—
456C24—188no—
457C24—184no—
458C24—184no—
459C24—188no—
460C2×D4—34no—
461C2×D4—62no—
462C2×D4—62no—
463C2×D4—98no—
464C2×D4—94no—
465C2×D4—1832no—
466C2×D4—184no—
467C2×D4—184no—
468C2×D4—182no—
469C2×D4—182no—
470C22×C4—31no—
471C22×C4—34no—
472C22×C4—34no—
473C22×C4—34no—
474C22×C4—32no—
475C22×C4—38no—
476C22×C4—32no—
477C22×C4—64no—
478C22×C4—64no—
479C22×C4—92no—
480C22×C4—188no—
481C22×C4—184no—
482C22×C4C2×D3212yes—
483C22×C4C2×D3211yescharacteristic
484C4⋊C4—62no—
485C4⋊C4—184no—
486C4⋊C4—182no—
487C22⋊C4—68no—
488C22⋊C4—188no—
489C22⋊C4—188no—
490C22⋊C4—188no—
491C42—22no—
492C42—64no—
493C42—62no—
494C22×C3—21no—
495C22×C3—22no—
496C22×C3—21no—
497C22×C3—22no—
498C22×C3—21no—
499C22×C3—34no—
500C22×C3—34no—
501C22×C3—34no—
502C22×C3—38no—
503C22×C3—38no—
504C22×C3—68no—
505C22×C3—64no—
506C22×C3—122no—
507C22×C3—122no—
508C22×C3—124no—
509C22×C3C22×C4×D311yescharacteristic
510C22×C3C22×C4×D311yescharacteristic
511C22×C3C22×D1212yes—
512C22×C3C22×D1211yescharacteristic
513C22×C3C2×#23512yes—
514C22×C3C2×D3×D411yescharacteristic
515C22×C3C2×D3×D412yes—
516C22×C3C2×D3×D411yescharacteristic
517C22×C3D3×#4112yes—
518C22×C3C22×#6711yescharacteristic
519C2×D3—24no—
520C2×D3—28no—
521C2×D3—42no—
522C2×D3—42no—
523C2×D3—44no—
524C2×D3—68no—
525C2×D3—64no—
526C2×D3—64no—
527C2×D3—68no—
528C2×D3—124no—
529C2×D3—128no—
530C2×D3—1232no—
531C2×D3—122no—
532C2×D3—122no—
533C2×D3—122no—
534C2×D3—122no—
535C2×D3—124no—
536C2×D3—124no—
537C2×D3—1232no—
538C2×D3—242no—
539C2×D3—242no—
540C2×D3—244no—
541C2×D3C4×D1218yes—
542C2×D3#87414yes—
543C2×D3#87514yes—
544C2×D3C2×(C2×D3)⋊C414yes—
545C2×D3#93018yes—
546C3×C4—24no—
547C3×C4—24no—
548C3×C4—24no—
549C3×C4—34no—
550C3×C4—44no—
551C3×C4—64no—
552C3×C4—122no—
553C3×C4D3×C22⋊C414yescomplemented
554C3×C4C2×(C2×D3)⋊C414yescomplemented
555Dic3—24no—
556Dic3—42no—
557Dic3—122no—
558Dic3—122no—
559Dic3—242no—
560Dic3C2×(C2×D3)⋊C414yescomplemented
561C32C2×#39011yescharacteristic, complemented, Sylow
562C23—32no—
563C23—34no—
564C23—32no—
565C23—34no—
566C23—32no—
567C23—34no—
568C23—64no—
569C23—62no—
570C23—64no—
571C23—62no—
572C23—94no—
573C23—1816no—
574C23—1832no—
575C23—184no—
576C23—182no—
577C23—184no—
578C23—182no—
579C23—368no—
580C23—368no—
581C23—3616no—
582C23C22×D3211yescharacteristic
583D4—68no—
584D4—1816no—
585D4—188no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—32no—
589C2×C4—32no—
590C2×C4—32no—
591C2×C4—316no—
592C2×C4—34no—
593C2×C4—616no—
594C2×C4—62no—
595C2×C4—62no—
596C2×C4—64no—
597C2×C4—62no—
598C2×C4—184no—
599C2×C4—182no—
600C2×C4—368no—
601C2×C4C4×D3212yes—
602C2×C4D3×D1212yes—
603C2×C4D3×D1214yescomplemented
604C2×C4D3×#6712yes—
605C2×C3—22no—
606C2×C3—21no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—22no—
610C2×C3—38no—
611C2×C3—124no—
612C2×C3C2×C4×D1212yes—
613C2×C3C2×#87411yescharacteristic
614C2×C3C2×#87511yescharacteristic
615C2×C3C2×D3×C22⋊C411yescharacteristic
616C2×C3C4×D3×D412yes—
617C2×C3D3×#12112yes—
618C2×C3D3×#12411yescharacteristic
619C2×C3D3×#12711yescharacteristic
620C2×C3C22×(C2×D3)⋊C411yescharacteristic
621C2×C3C2×#93012yes—
622D3—44no—
623D3—124no—
624D3—124no—
625D3—244no—
626D3#493918yesdirect product factor
627C22—38no—
628C22—34no—
629C22—34no—
630C22—34no—
631C22—38no—
632C22—68no—
633C22—64no—
634C22—122no—
635C22—122no—
636C22—124no—
637C22—188no—
638C22—184no—
639C22—3632no—
640C22—362no—
641C22—362no—
642C22—364no—
643C22C2×C4×D3211yescharacteristic
644C22C2×D3×D1212yes—
645C22C2×D3×D1211yescharacteristic
646C22D3×#23512yes—
647C22C2×D3×#6711yescharacteristic
648C4—24no—
649C4—34no—
650C4—64no—
651C4—122no—
652C4—362no—
653C4D3×(C2×D3)⋊C414yescomplemented
654C3—21no—
655C3D3×#39011yescharacteristic, complemented
656C3C2×#493911yescharacteristic, complemented
657C2—38no—
658C2—124no—
659C2—364no—
660C2C4×D3×D1212yes—
661C2D3×#87411yescharacteristic
662C2D3×#87511yescharacteristic
663C2C2×D3×(C2×D3)⋊C411yescharacteristic
664C2D3×#93012yes—
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C42C22
socle, cosocleC23×C32C24
prime radicalC22×D3×D12C2
hypercenterC2×C42D32
hypocenterC32C2×#390
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C3×C42×D3C2semidirect
3. C2×D3×(C2×D3)⋊C4C2semidirect
4. C2×D3×C4⋊Dic3C2semidirect
5. #10592638C2semidirect
6. C3×#4939C2semidirect
7. #10591383C2semidirect
8. #10591320C2semidirect
9. #10591318C2semidirect
21. C2×D3×D12C4semidirect
22. C2×C32×C42C22semidirect
23. C2×#3752C22semidirect
24. C2×C4⋊(C3⋊Dic3)C22semidirect
25. C2×C3×(C2×D3)⋊C4C22semidirect
26. C2×C3×C4⋊Dic3C22semidirect
27. C2×C3×C4×Dic3C22semidirect
28. C2×C3×C4×Dic3C22semidirect
30. C2×Dic3⋊Dic3C22semidirect
31. C2×#3722C22semidirect
32. C2×(C2×D3)⋊Dic3C22semidirect
42. C2×C42×D3D3semidirect
53. #4939D3direct (N × H)
67. C2×C4⋊(C3⋊D3)C2×C4semidirect
73. C2×C3×D12C2×C4semidirect
79. C2×C3×C4×D3D4semidirect
82. C2×#626C2×C4semidirect
124. C2×C3×C42C2×D3semidirect
125. C2×C3×C42C2×D3semidirect
134. C2×(C2×D3)⋊C4C2×D3semidirect
140. C2×C4⋊Dic3C2×D3semidirect
142. C2×C4×Dic3C2×D3semidirect
143. C2×C4×Dic3C2×D3semidirect
173. C2×C32×C4C2×D4semidirect
184. C2×C3×Dic3C2×D4semidirect
187. C3×C4×D3C22⋊C4semidirect
261. C2×D12C4×D3semidirect
268. C2×C4×D3D12semidirect
315. C32×C4C2×C22⋊C4semidirect
319. C3×Dic3C2×C22⋊C4semidirect
342. C2×C42D32semidirect
415. C2×C3×C4C2×D12semidirect
418. C2×C3×C4D3×D4semidirect
434. C2×Dic3C2×D12semidirect
443. C4×D3(C2×D3)⋊C4semidirect
451. C3×D3#390semidirect
553. C3×C4D3×C22⋊C4semidirect
554. C3×C4C2×(C2×D3)⋊C4semidirect
560. Dic3C2×(C2×D3)⋊C4semidirect
561. C32C2×#390semidirect
603. C2×C4D3×D12semidirect
626. D3#4939direct (N × H)
653. C4D3×(C2×D3)⋊C4semidirect
655. C3D3×#390semidirect
656. C3C2×#4939semidirect

Maximal subgroups

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

subgroupindex
C22×D3×D122
C2×C3×C42×D32
C2×D3×(C2×D3)⋊C42
C2×D3×C4⋊Dic32
#105926382
C3×#49392
#105913832
#105913202
#105913182
C2×#49393
D3×#3903