Finite Group Databasebeta

← D3×#64286 #13180973

Subgroups — D3×#64286 #13180973

Order 1728.

1240 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D3×C3⋊D3C211yesmaximal, characteristic
2#11724514C211yesmaximal, characteristic, complemented
3C3×#64286C211yesmaximal, characteristic, complemented
4D3×C22⋊#157C212yesmaximal
5#11724261C212yesmaximal, complemented
6D3×C4⋊#157C212yesmaximal, complemented
7C4×D3×#157C212yesmaximal, complemented
8#11724247C212yesmaximal, complemented
9#11724246C212yesmaximal, complemented
10C2×#64286—31nomaximal
11C22×D3×C3⋊D3C2211yescharacteristic
12C2×D3×#157C2214yes—
13C2×C4×C3⋊(C3⋊D3)C411yescharacteristic, complemented
14C2×C3×C4×C3⋊D3C2211yescharacteristic
15C2×C32×C4×D3C411yescharacteristic, complemented
16C2×#6289C411yescharacteristic, complemented
17C2×Dic3×C3⋊D3C2211yescharacteristic
18C2×D3×C3⋊Dic3C411yescharacteristic, complemented
19C4×D3×C3⋊D3C411yescharacteristic, complemented
20C4×D3×C3⋊D3C411yescharacteristic, complemented
21C4×D3×C3⋊D3C411yescharacteristic, complemented
22C4×D3×C3⋊D3C411yescharacteristic, complemented
23C4×D3×C3⋊D3C2211yescharacteristic
24C4×D3×C3⋊D3C2211yescharacteristic
25C4×D3×C3⋊D3C2211yescharacteristic
26C4×D3×C3⋊D3C2211yescharacteristic
27#88994C2212yes—
28C4⋊(C3⋊#157)C2212yescomplemented
29C4×C3⋊#157C2212yescomplemented
30C3×C22⋊#157C2212yes—
31C3×C4⋊#157C2212yescomplemented
32C3×C4×#157C2212yescomplemented
33Dic3⋊#157C2214yescomplemented
34(C2×D3)⋊#157C2214yes—
35Dic3×#157C2214yescomplemented
36C22×C4×C3⋊D3—31no—
37C2×C4×D32—62no—
38C2×C22⋊#157—32no—
39#64286—31no—
40#64286—32no—
41#64286—32no—
42#64286—32no—
43#64286D311yescharacteristic, direct product factor
44C2×C4⋊#157—32no—
45C2×C4×#157—32no—
46C22×C3⋊(C3⋊D3)C2×C411yescharacteristic
47C22×C3×C3⋊D3C2311yescharacteristic
48C22×C32×D3C2×C411yescharacteristic
49C2×D3×C3⋊D3—24no—
50C2×D3×C3⋊D3C2×C411yescharacteristic
51C2×D3×C3⋊D3C2×C411yescharacteristic
52C2×D3×C3⋊D3C2311yescharacteristic
53C2×D3×C3⋊D3C2311yescharacteristic
54C2×C3⋊#157C2314yes—
55C2×C3×#157C2314yes—
56D3×#157—28no—
57C2×C33×C4C2×C411yescharacteristic, complemented
58C2×C3⋊(C3⋊Dic3)C2×C411yescharacteristic, complemented
59C4×C3⋊(C3⋊D3)C2×C411yescharacteristic
60C4×C3⋊(C3⋊D3)C2×C411yescharacteristic
61C4×C3⋊(C3⋊D3)C2×C411yescharacteristic, complemented
62C4×C3⋊(C3⋊D3)C2×C411yescharacteristic, complemented
63C2×C3×C3⋊Dic3C2×C411yescharacteristic, complemented
64C3×C4×C3⋊D3C2×C411yescharacteristic, complemented
65C3×C4×C3⋊D3C2×C411yescharacteristic, complemented
66C3×C4×C3⋊D3C2311yescharacteristic
67C3×C4×C3⋊D3C2311yescharacteristic
68C2×C32×Dic3C2×C411yescharacteristic, complemented
69C32×C4×D3C2×C411yescharacteristic
70C32×C4×D3C2×C411yescharacteristic
71C32×C4×D3C2×C411yescharacteristic, complemented
72C32×C4×D3C2×C411yescharacteristic, complemented
73#6289C2×C411yescharacteristic
74#6289C2×C411yescharacteristic
75#6289C2×C411yescharacteristic, complemented
76#6289C2×C411yescharacteristic, complemented
77Dic3×C3⋊D3C2×C411yescharacteristic, complemented
78Dic3×C3⋊D3C2×C411yescharacteristic, complemented
79Dic3×C3⋊D3C2311yescharacteristic
80Dic3×C3⋊D3C2311yescharacteristic
81D3×C3⋊Dic3C2×C411yescharacteristic
82D3×C3⋊Dic3C2×C411yescharacteristic
83D3×C3⋊Dic3C2×C411yescharacteristic, complemented
84D3×C3⋊Dic3C2×C411yescharacteristic, complemented
85D3×#117—91nomaximal
86C23×C3⋊D3—31no—
87C22×D32—62no—
88C22×#157—34no—
89C22×C32×C4—31no—
90C22×C3⋊Dic3—31no—
91C2×C4×C3⋊D3—31no—
92C2×C4×C3⋊D3—31no—
93C2×C4×C3⋊D3—31no—
94C2×C4×C3⋊D3—31no—
95C2×C4×C3⋊D3—31no—
96C2×C4×C3⋊D3—31no—
97C2×C4×C3⋊D3—31no—
98C2×C4×C3⋊D3—31no—
99C2×C4×C3⋊D3—31no—
100C2×C4×C3⋊D3—31no—
101C2×C4×C3⋊D3—31no—
102C2×C4×C3⋊D3—62no—
103C2×C4×C3⋊D3—122no—
104C2×C4×C3⋊D3C2×D311yescharacteristic
105C2×C3×C4×D3—22no—
106C2×C3×C4×D3—62no—
107C2×#624—62no—
108C2×D3×Dic3—62no—
109C2×D3×Dic3—62no—
110C4×D32—62no—
111C4×D32—62no—
112C4×D32—62no—
113C4×D32—62no—
114C4×D32—62no—
115C4×D32—62no—
116C4×D32—62no—
117C4×D32—62no—
118C22⋊#157—32no—
119C22⋊#157—34no—
120C22⋊#157C2×D312yes—
121C4⋊#157—34no—
122C4⋊#157—32no—
123C4⋊#157C2×D312yescomplemented
124C4×#157—34no—
125C4×#157—32no—
126C4×#157C2×D312yescomplemented
127C22×C33C22×C411yescharacteristic
128C2×C3⋊(C3⋊D3)—22no—
129C2×C3⋊(C3⋊D3)C22×C411yescharacteristic
130C2×C3⋊(C3⋊D3)C22×C411yescharacteristic
131C2×C3×C3⋊D3—22no—
132C2×C3×C3⋊D3C22×C411yescharacteristic
133C2×C3×C3⋊D3C2411yescharacteristic
134C2×C32×D3—22no—
135C2×C32×D3C22×C411yescharacteristic
136C2×C32×D3C22×C411yescharacteristic
137D3×C3⋊D3—22no—
138D3×C3⋊D3—22no—
139D3×C3⋊D3—22no—
140D3×C3⋊D3#4114yes—
141C3⋊#157—24no—
142C3×#157—24no—
143C33×C4C22×C411yescharacteristic
144C33×C4C22×C411yescharacteristic
145C3⋊(C3⋊Dic3)C22×C411yescharacteristic
146C3⋊(C3⋊Dic3)C22×C411yescharacteristic
147C3×C3⋊Dic3C22×C411yescharacteristic
148C3×C3⋊Dic3C22×C411yescharacteristic
149C32×Dic3C22×C411yescharacteristic
150C32×Dic3C22×C411yescharacteristic
151C22×C4×D3—91no—
152C22×C4×D3—182no—
153C3×#117—91no—
154#926—91no—
155#892—92no—
156D3×C4⋊C4—92no—
157D3×C22⋊C4—92no—
158#877—92no—
159#872—92no—
160C42×D3—92no—
161C23×C32—31no—
162C22×C3⋊D3—31no—
163C22×C3⋊D3—31no—
164C22×C3⋊D3—31no—
165C22×C3⋊D3—31no—
166C22×C3⋊D3—31no—
167C22×C3⋊D3—62no—
168C22×C3⋊D3—64no—
169C22×C3⋊D3—122no—
170C22×C3⋊D3C22×D311yescharacteristic
171C22×C3×D3—22no—
172C22×C3×D3—62no—
173C2×D32—62no—
174C2×D32—62no—
175C2×D32—62no—
176C2×D32—62no—
177C2×D32—616no—
178C2×#157—34no—
179C2×#157—68no—
180C2×#157C22×D314yes—
181C2×C32×C4—22no—
182C2×C32×C4—31no—
183C2×C32×C4—31no—
184C2×C32×C4—31no—
185C2×C32×C4—31no—
186C2×C32×C4—31no—
187C2×C32×C4—42no—
188C2×C32×C4C4×D311yescharacteristic, complemented
189C2×C3⋊Dic3—31no—
190C2×C3⋊Dic3—31no—
191C2×C3⋊Dic3—31no—
192C2×C3⋊Dic3—31no—
193C2×C3⋊Dic3—31no—
194C2×C3⋊Dic3—62no—
195C2×C3⋊Dic3—122no—
196C2×C3⋊Dic3C4×D311yescharacteristic, complemented
197C4×C3⋊D3—31no—
198C4×C3⋊D3—31no—
199C4×C3⋊D3—31no—
200C4×C3⋊D3—31no—
201C4×C3⋊D3—31no—
202C4×C3⋊D3—31no—
203C4×C3⋊D3—31no—
204C4×C3⋊D3—31no—
205C4×C3⋊D3—31no—
206C4×C3⋊D3—31no—
207C4×C3⋊D3—31no—
208C4×C3⋊D3—31no—
209C4×C3⋊D3—62no—
210C4×C3⋊D3—62no—
211C4×C3⋊D3—62no—
212C4×C3⋊D3—62no—
213C4×C3⋊D3—122no—
214C4×C3⋊D3—122no—
215C4×C3⋊D3—122no—
216C4×C3⋊D3—122no—
217C4×C3⋊D3C4×D311yescharacteristic, complemented
218C4×C3⋊D3C4×D311yescharacteristic, complemented
219C4×C3⋊D3C22×D311yescharacteristic
220C4×C3⋊D3C22×D311yescharacteristic
221C2×C3×Dic3—22no—
222C2×C3×Dic3—62no—
223C3×C4×D3—22no—
224C3×C4×D3—22no—
225C3×C4×D3—22no—
226C3×C4×D3—22no—
227C3×C4×D3—62no—
228C3×C4×D3—62no—
229C3×C4×D3—62no—
230C3×C4×D3—62no—
231#624—62no—
232#624—62no—
233#624—62no—
234#624—62no—
235D3×Dic3—62no—
236D3×Dic3—62no—
237D3×Dic3—62no—
238D3×Dic3—62no—
239D3×Dic3—62no—
240D3×Dic3—62no—
241D3×Dic3—62no—
242D3×Dic3—62no—
243C2×#117—271noSylow
244C2×C33—21no—
245C2×C33C23×C411yescharacteristic
246C3⋊(C3⋊D3)—21no—
247C3⋊(C3⋊D3)#11712yescomplemented
248C3×C3⋊D3—21no—
249C3×C3⋊D3C2×#4112yes—
250C32×D3—21no—
251C32×D3#11712yescomplemented
252C23×D3—91no—
253C23×D3—182no—
254C22×C3×C4—62no—
255C22×C3×C4—91no—
256C22×Dic3—91no—
257C22×Dic3—182no—
258C2×C4×D3—62no—
259C2×C4×D3—91no—
260C2×C4×D3—91no—
261C2×C4×D3—91no—
262C2×C4×D3—91no—
263C2×C4×D3—91no—
264C2×C4×D3—91no—
265C2×C4×D3—91no—
266C2×C4×D3—91no—
267C2×C4×D3—91no—
268C2×C4×D3—91no—
269C2×C4×D3—91no—
270C2×C4×D3—94no—
271C2×C4×D3—182no—
272C2×C4×D3—182no—
273C2×C4×D3—182no—
274C2×C4×D3—182no—
275C2×C4×D3—182no—
276C2×C4×D3—182no—
277C2×C4×D3—182no—
278C2×C4×D3—182no—
279C2×C4×D3—182no—
280C2×C4×D3—182no—
281C2×C4×D3—182no—
282C2×C4×D3—362no—
283C2×C4×D3#15711yescharacteristic, complemented
284C3×C4⋊C4—92no—
285C3×C22⋊C4—92no—
286C3×C42—92no—
287#217—92no—
288(C2×D3)⋊C4—94no—
289C4⋊Dic3—92no—
290Dic3⋊C4—94no—
291C4×Dic3—94no—
292C4×Dic3—92no—
293C22×C32—22no—
294C22×C32—31no—
295C22×C32—31no—
296C22×C32—42no—
297C22×C32—62no—
298C22×C32C2×C4×D311yescharacteristic
299C2×C3⋊D3—22no—
300C2×C3⋊D3—31no—
301C2×C3⋊D3—34no—
302C2×C3⋊D3—31no—
303C2×C3⋊D3—62no—
304C2×C3⋊D3—62no—
305C2×C3⋊D3—62no—
306C2×C3⋊D3—62no—
307C2×C3⋊D3—62no—
308C2×C3⋊D3—62no—
309C2×C3⋊D3—68no—
310C2×C3⋊D3—128no—
311C2×C3⋊D3—122no—
312C2×C3⋊D3—122no—
313C2×C3⋊D3C2×C4×D311yescharacteristic
314C2×C3⋊D3C23×D311yescharacteristic
315C2×C3×D3—28no—
316C2×C3×D3—22no—
317C2×C3×D3—22no—
318C2×C3×D3—62no—
319C2×C3×D3—62no—
320C2×C3×D3—68no—
321D32—68no—
322D32—68no—
323D32—68no—
324D32—68no—
325#157—24no—
326#157—64no—
327C32×C4—22no—
328C32×C4—22no—
329C32×C4—31no—
330C32×C4—31no—
331C32×C4—42no—
332C32×C4—42no—
333C32×C4C2×C4×D311yescharacteristic
334C32×C4C2×C4×D311yescharacteristic
335C3⋊Dic3—31no—
336C3⋊Dic3—31no—
337C3⋊Dic3—62no—
338C3⋊Dic3—62no—
339C3⋊Dic3—122no—
340C3⋊Dic3—122no—
341C3⋊Dic3C2×C4×D311yescharacteristic
342C3⋊Dic3C2×C4×D311yescharacteristic
343C3×Dic3—22no—
344C3×Dic3—22no—
345C3×Dic3—62no—
346C3×Dic3—62no—
347C23×C4—271no—
348#117—91no—
349#117—272no—
350#117—272no—
351#117—272no—
352#117—271no—
353C2×C4⋊C4—272no—
354C2×C22⋊C4—272no—
355C2×C42—272no—
356C33C2×#11711yescharacteristic, complemented, Sylow
357C23×C3—62no—
358C23×C3—91no—
359C22×D3—62no—
360C22×D3—91no—
361C22×D3—91no—
362C22×D3—91no—
363C22×D3—91no—
364C22×D3—91no—
365C22×D3—182no—
366C22×D3—182no—
367C22×D3—182no—
368C22×D3—182no—
369C22×D3—182no—
370C22×D3—184no—
371C22×D3—1816no—
372C22×D3—362no—
373C22×D3C2×#15711yescharacteristic
374C2×C3×C4—22no—
375C2×C3×C4—42no—
376C2×C3×C4—62no—
377C2×C3×C4—62no—
378C2×C3×C4—62no—
379C2×C3×C4—62no—
380C2×C3×C4—62no—
381C2×C3×C4—91no—
382C2×C3×C4—91no—
383C2×C3×C4—91no—
384C2×C3×C4—91no—
385C2×C3×C4—91no—
386C2×C3×C4—94no—
387C2×C3×C4C2×#15711yescharacteristic, complemented
388C2×Dic3—62no—
389C2×Dic3—91no—
390C2×Dic3—91no—
391C2×Dic3—91no—
392C2×Dic3—91no—
393C2×Dic3—91no—
394C2×Dic3—94no—
395C2×Dic3—182no—
396C2×Dic3—182no—
397C2×Dic3—182no—
398C2×Dic3—182no—
399C2×Dic3—182no—
400C2×Dic3—362no—
401C2×Dic3C2×#15711yescharacteristic, complemented
402C4×D3—62no—
403C4×D3—62no—
404C4×D3—62no—
405C4×D3—62no—
406C4×D3—91no—
407C4×D3—91no—
408C4×D3—91no—
409C4×D3—91no—
410C4×D3—91no—
411C4×D3—91no—
412C4×D3—91no—
413C4×D3—91no—
414C4×D3—91no—
415C4×D3—91no—
416C4×D3—91no—
417C4×D3—91no—
418C4×D3—182no—
419C4×D3—182no—
420C4×D3—182no—
421C4×D3—182no—
422C4×D3—182no—
423C4×D3—182no—
424C4×D3—182no—
425C4×D3—182no—
426C4×D3—182no—
427C4×D3—182no—
428C4×D3—182no—
429C4×D3—182no—
430C4×D3—188no—
431C4×D3—362no—
432C4×D3—362no—
433C4×D3—362no—
434C4×D3—362no—
435C4×D3C2×#15711yescharacteristic
436C4×D3C2×#15711yescharacteristic
437C4×D3C2×#15711yescharacteristic, complemented
438C4×D3C2×#15711yescharacteristic, complemented
439C2×C32—21no—
440C2×C32—24no—
441C2×C32—22no—
442C2×C32—32no—
443C2×C32—44no—
444C2×C32—42no—
445C2×C32—61no—
446C2×C32C22×C4×D311yescharacteristic
447C3⋊D3—21no—
448C3⋊D3—32no—
449C3⋊D3—64no—
450C3⋊D3—61no—
451C3⋊D3—64no—
452C3⋊D3—124no—
453C3⋊D3—124no—
454C3⋊D3D3×#4112yes—
455C3×D3—24no—
456C3×D3—24no—
457C3×D3—64no—
458C3×D3—64no—
459C24—271no—
460C22×C4—31no—
461C22×C4—91no—
462C22×C4—271no—
463C22×C4—271no—
464C22×C4—271no—
465C22×C4—271no—
466C22×C4—271no—
467C22×C4—271no—
468C22×C4—271no—
469C22×C4—271no—
470C22×C4—271no—
471C22×C4—271no—
472C22×C4—271no—
473C22×C4—274no—
474C22×C4—271no—
475C4⋊C4—92no—
476C4⋊C4—274no—
477C4⋊C4—272no—
478C22⋊C4—92no—
479C22⋊C4—274no—
480C22⋊C4—272no—
481C42—92no—
482C42—272no—
483C42—274no—
484C22×C3—22no—
485C22×C3—42no—
486C22×C3—62no—
487C22×C3—62no—
488C22×C3—68no—
489C22×C3—91no—
490C22×C3—91no—
491C22×C3—182no—
492C22×C3C22×#15711yescharacteristic
493C2×D3—22no—
494C2×D3—62no—
495C2×D3—62no—
496C2×D3—68no—
497C2×D3—91no—
498C2×D3—94no—
499C2×D3—91no—
500C2×D3—188no—
501C2×D3—182no—
502C2×D3—182no—
503C2×D3—182no—
504C2×D3—182no—
505C2×D3—188no—
506C2×D3—188no—
507C2×D3—188no—
508C2×D3—182no—
509C2×D3—188no—
510C2×D3—182no—
511C2×D3—362no—
512C2×D3—362no—
513C2×D3—368no—
514C2×D3C22×#15711yescharacteristic
515C2×D3C22×#15711yescharacteristic
516C3×C4—22no—
517C3×C4—22no—
518C3×C4—42no—
519C3×C4—42no—
520C3×C4—62no—
521C3×C4—62no—
522C3×C4—91no—
523C3×C4—91no—
524C3×C4—184no—
525C3×C4C22×#15711yescharacteristic
526C3×C4C22×#15711yescharacteristic
527Dic3—62no—
528Dic3—62no—
529Dic3—91no—
530Dic3—91no—
531Dic3—182no—
532Dic3—182no—
533Dic3—184no—
534Dic3—362no—
535Dic3—362no—
536Dic3C22×#15711yescharacteristic
537Dic3C22×#15711yescharacteristic
538C32—22no—
539C32—42no—
540C32D3×#11711yescharacteristic, complemented
541C23—31no—
542C23—91no—
543C23—271no—
544C23—271no—
545C23—271no—
546C23—271no—
547C23—271no—
548C23—544no—
549C2×C4—31no—
550C2×C4—31no—
551C2×C4—31no—
552C2×C4—31no—
553C2×C4—31no—
554C2×C4—91no—
555C2×C4—91no—
556C2×C4—91no—
557C2×C4—91no—
558C2×C4—91no—
559C2×C4—94no—
560C2×C4—271no—
561C2×C4—271no—
562C2×C4—271no—
563C2×C4—271no—
564C2×C4—271no—
565C2×C4—271no—
566C2×C4—271no—
567C2×C4—271no—
568C2×C4—271no—
569C2×C4—271no—
570C2×C4—271no—
571C2×C4—271no—
572C2×C4—271no—
573C2×C4—271no—
574C2×C4—271no—
575C2×C4—271no—
576C2×C4—271no—
577C2×C4—274no—
578C2×C4—548no—
579C2×C4D3×#15711yescharacteristic, complemented
580C2×C3—24no—
581C2×C3—21no—
582C2×C3—22no—
583C2×C3—44no—
584C2×C3—42no—
585C2×C3—64no—
586C2×C3—64no—
587C2×C3—92no—
588C2×C3—181no—
589C2×C3C23×#15711yescharacteristic
590D3—21no—
591D3—64no—
592D3—64no—
593D3—92no—
594D3—184no—
595D3—184no—
596D3—181no—
597D3—364no—
598D3—364no—
599D3#6428612yesdirect product factor
600C22—31no—
601C22—31no—
602C22—62no—
603C22—91no—
604C22—91no—
605C22—182no—
606C22—274no—
607C22—271no—
608C22—271no—
609C22—542no—
610C22—542no—
611C22—542no—
612C22—542no—
613C22C2×D3×#15711yescharacteristic
614C4—31no—
615C4—31no—
616C4—91no—
617C4—91no—
618C4—184no—
619C4—271no—
620C4—271no—
621C4—544no—
622C4C2×D3×#15711yescharacteristic
623C4C2×D3×#15711yescharacteristic
624C3—22no—
625C3—42no—
626C3C2×#6428611yescharacteristic, complemented
627C2—21no—
628C2—32no—
629C2—61no—
630C2—92no—
631C2—181no—
632C2—272no—
633C2—541no—
634C2C22×D3×#15711yescharacteristic
subgroupG/H
centerC4C2×D3×#157
commutator, socleC2×C33C23×C4
FrattiniC2C22×D3×#157
FittingC2×C33×C4C2×C4
prime radicalC22×D3×C3⋊D3C22
cosocleC2×C3×C3⋊D3C24
hypercenterC2×C4D3×#157
hypocenterC33C2×#117
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C4 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. #11724514C2semidirect
3. C3×#64286C2semidirect
5. #11724261C2semidirect
6. D3×C4⋊#157C2semidirect
7. C4×D3×#157C2semidirect
8. #11724247C2semidirect
9. #11724246C2semidirect
13. C2×C4×C3⋊(C3⋊D3)C4semidirect
15. C2×C32×C4×D3C4semidirect
16. C2×#6289C4semidirect
18. C2×D3×C3⋊Dic3C4semidirect
19. C4×D3×C3⋊D3C4semidirect
20. C4×D3×C3⋊D3C4semidirect
21. C4×D3×C3⋊D3C4semidirect
22. C4×D3×C3⋊D3C4semidirect
28. C4⋊(C3⋊#157)C22semidirect
29. C4×C3⋊#157C22semidirect
31. C3×C4⋊#157C22semidirect
32. C3×C4×#157C22semidirect
33. Dic3⋊#157C22semidirect
35. Dic3×#157C22semidirect
43. #64286D3direct (N × H)
57. C2×C33×C4C2×C4semidirect
58. C2×C3⋊(C3⋊Dic3)C2×C4semidirect
61. C4×C3⋊(C3⋊D3)C2×C4semidirect
62. C4×C3⋊(C3⋊D3)C2×C4semidirect
63. C2×C3×C3⋊Dic3C2×C4semidirect
64. C3×C4×C3⋊D3C2×C4semidirect
65. C3×C4×C3⋊D3C2×C4semidirect
68. C2×C32×Dic3C2×C4semidirect
71. C32×C4×D3C2×C4semidirect
72. C32×C4×D3C2×C4semidirect
75. #6289C2×C4semidirect
76. #6289C2×C4semidirect
77. Dic3×C3⋊D3C2×C4semidirect
78. Dic3×C3⋊D3C2×C4semidirect
83. D3×C3⋊Dic3C2×C4semidirect
84. D3×C3⋊Dic3C2×C4semidirect
123. C4⋊#157C2×D3semidirect
126. C4×#157C2×D3semidirect
188. C2×C32×C4C4×D3semidirect
196. C2×C3⋊Dic3C4×D3semidirect
217. C4×C3⋊D3C4×D3semidirect
218. C4×C3⋊D3C4×D3semidirect
247. C3⋊(C3⋊D3)#117semidirect
251. C32×D3#117semidirect
283. C2×C4×D3#157semidirect
356. C33C2×#117semidirect
387. C2×C3×C4C2×#157semidirect
401. C2×Dic3C2×#157semidirect
437. C4×D3C2×#157semidirect
438. C4×D3C2×#157semidirect
540. C32D3×#117semidirect
579. C2×C4D3×#157semidirect
599. D3#64286direct (N × H)
626. C3C2×#64286semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D3×C3⋊D32
#117245142
C3×#642862
D3×C22⋊#1572
#117242612
D3×C4⋊#1572
C4×D3×#1572
#117242472
#117242462
C2×#642863
D3×#1179