Finite Group Databasebeta

← D3×#63900 #13170777

Subgroups — D3×#63900 #13170777

Order 1728.

2146 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D3×C3⋊D3C211yesmaximal, characteristic
2C2×D3×#624C212yesmaximal
3#11723689C211yesmaximal, characteristic, complemented
4#11723503C212yesmaximal, complemented
5C3×#63900C211yesmaximal, characteristic, complemented
6C3×D3×C4⋊Dic3C212yesmaximal, complemented
7#11722912C212yesmaximal, complemented
8#11722911C212yesmaximal, complemented
9D3×#3724C212yesmaximal, complemented
10C2×#63900—31nomaximal
11D32×C4⋊C4—32nomaximal
12C22×D3×C3⋊D3C2211yescharacteristic
13C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
14C2×C3×C4×C3⋊D3C2211yescharacteristic
15C2×C32×C4×D3C2211yescharacteristic
16C2×#6294C2212yes—
17C2×#6289C2214yes—
18C2×#6289C2211yescharacteristic
19C2×Dic3×C3⋊D3C2211yescharacteristic
20C2×D3×C3⋊Dic3C2211yescharacteristic
21C4×D3×C3⋊D3C418yescomplemented
22C2×C3×#624C2212yes—
23C2×C3×D3×Dic3C2214yes—
24D3×#624—28no—
25C3×C4⋊(C3⋊Dic3)C2212yescomplemented
26C32×C4⋊Dic3C2212yescomplemented
27#88815C2212yescomplemented
28#88806C2214yescomplemented
29C3×#3724C2212yescomplemented
30C3×Dic3⋊Dic3C2214yescomplemented
31C22×C4×C3⋊D3—31no—
32C22×#624—32no—
33C2×C4×D32—32no—
34C2×C4×D32—34no—
35C2×C4×D32—61no—
36C4⋊C4×C3⋊D3—32no—
37C2×C3×C4⋊Dic3—32no—
38C3×D3×C4⋊C4—32no—
39C3×D3×C4⋊C4—32no—
40C2×#3724—32no—
41#63900—31no—
42#63900—32no—
43#63900—32no—
44#63900—32no—
45#63900—32no—
46#63900—62no—
47#63900D311yescharacteristic, direct product factor
48D3×C4⋊Dic3—32no—
49D3×C4⋊Dic3D312yescomplemented
50#63883—34no—
51D3×Dic3⋊C4—34no—
52D3×Dic3⋊C4—34no—
53C22×C3⋊(C3⋊D3)C2311yescharacteristic
54C22×C3×C3⋊D3C2311yescharacteristic
55C22×C32×D3C2311yescharacteristic
56C2×D3×C3⋊D3C2×C414yes—
57C2×D3×C3⋊D3D414yes—
58C2×D3×C3⋊D3Q814yes—
59C2×C33×C4C2311yescharacteristic
60C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
61C4×C3⋊(C3⋊D3)C2×C414yescomplemented
62C2×C3×C3⋊Dic3C2314yes—
63C2×C3×C3⋊Dic3C2311yescharacteristic
64C3×C4×C3⋊D3C2×C414yescomplemented
65C2×C32×Dic3C2314yes—
66C2×C32×Dic3C2311yescharacteristic
67C32×C4×D3C2×C414yescomplemented
68#6294—24no—
69#6289—28no—
70#6289C2×C414yescomplemented
71Dic3×C3⋊D3C2×C414yescomplemented
72D3×C3⋊Dic3C2×C414yescomplemented
73C3×#624—24no—
74C3×D3×Dic3—28no—
75C2×D3×C4⋊C4—91no—
76C2×D3×C4⋊C4—92no—
77C23×C3⋊D3—31no—
78C22×D32—32no—
79C22×D32—61no—
80C22×C32×C4—31no—
81C22×C3⋊Dic3—31no—
82C2×C4×C3⋊D3—31no—
83C2×C4×C3⋊D3—32no—
84C2×C4×C3⋊D3—31no—
85C2×C4×C3⋊D3—31no—
86C2×C4×C3⋊D3—38no—
87C2×C4×C3⋊D3—34no—
88C2×C4×C3⋊D3—61no—
89C2×C4×C3⋊D3—62no—
90C2×C4×C3⋊D3—121no—
91C2×C4×C3⋊D3C2×D311yescharacteristic
92C22×C3×Dic3—34no—
93C2×C3×C4×D3—21no—
94C2×C3×C4×D3—32no—
95C2×C3×C4×D3—34no—
96C2×C3×C4×D3—34no—
97C2×C3×C4×D3—61no—
98C2×C3×C4×D3C2×D312yes—
99C2×#624—32no—
100C2×#624—32no—
101C2×#624—34no—
102C2×#624—34no—
103C2×#624—68no—
104C2×#624—61no—
105C2×#624—64no—
106C2×#624C2×D312yes—
107C2×D3×Dic3—32no—
108C2×D3×Dic3—32no—
109C2×D3×Dic3—34no—
110C2×D3×Dic3—61no—
111C2×D3×Dic3—61no—
112C2×D3×Dic3C2×D314yes—
113C4×D32—316no—
114C4×D32—616no—
115C4×D32—68no—
116C32×C4⋊C4—32no—
117C4⋊(C3⋊Dic3)C2×D312yescomplemented
118#3750—34no—
119C3×C4⋊Dic3—22no—
120C3×C4⋊Dic3—32no—
121C3×C4⋊Dic3—32no—
122C3×C4⋊Dic3—34no—
123C3×C4⋊Dic3—62no—
124C3×C4⋊Dic3C2×D312yescomplemented
125C3×C4⋊Dic3C2×D312yescomplemented
126C3×Dic3⋊C4—34no—
127C3×Dic3⋊C4—34no—
128#3724—32no—
129#3724—34no—
130#3724—34no—
131#3724—64no—
132#3724C2×D312yescomplemented
133Dic3⋊Dic3—34no—
134Dic3⋊Dic3C2×D314yescomplemented
135C22×C33C2411yescharacteristic
136C2×C3⋊(C3⋊D3)C22×C412yes—
137C2×C3⋊(C3⋊D3)C2×D412yes—
138C2×C3⋊(C3⋊D3)C2×Q812yes—
139C2×C3×C3⋊D3C22×C412yes—
140C2×C3×C3⋊D3C2×D412yes—
141C2×C3×C3⋊D3C2×Q812yes—
142C2×C32×D3C22×C412yes—
143C2×C32×D3C2×D412yes—
144C2×C32×D3C2×Q812yes—
145D3×C3⋊D3C4⋊C4116yescomplemented
146C33×C4C22×C412yescomplemented
147C3⋊(C3⋊Dic3)C22×C412yescomplemented
148C3×C3⋊Dic3—24no—
149C3×C3⋊Dic3C22×C412yescomplemented
150C32×Dic3—24no—
151C32×Dic3C22×C412yescomplemented
152C22×C4×D3—92no—
153C22×C4×D3—92no—
154C22×C4×D3—94no—
155C22×C4×D3—91no—
156C22×C4×D3—181no—
157C2×C3×C4⋊C4—91no—
158C2×C3×C4⋊C4—92no—
159C2×C4⋊Dic3—32no—
160C2×C4⋊Dic3—91no—
161C2×Dic3⋊C4—92no—
162C2×Dic3⋊C4—94no—
163D3×C4⋊C4—32no—
164D3×C4⋊C4—32no—
165D3×C4⋊C4—92no—
166D3×C4⋊C4—94no—
167D3×C4⋊C4—92no—
168D3×C4⋊C4—92no—
169D3×C4⋊C4—94no—
170D3×C4⋊C4—92no—
171D3×C4⋊C4—92no—
172D3×C4⋊C4—92no—
173D3×C4⋊C4—182no—
174C23×C32—31no—
175C22×C3⋊D3—32no—
176C22×C3⋊D3—31no—
177C22×C3⋊D3—34no—
178C22×C3⋊D3—34no—
179C22×C3⋊D3—34no—
180C22×C3⋊D3—61no—
181C22×C3⋊D3—62no—
182C22×C3⋊D3—121no—
183C22×C3⋊D3C22×D311yescharacteristic
184C22×C3×D3—21no—
185C22×C3×D3—32no—
186C22×C3×D3—61no—
187C22×C3×D3C22×D312yes—
188C2×D32—38no—
189C2×D32—38no—
190C2×D32—38no—
191C2×D32—64no—
192C2×D32—64no—
193C2×D32—64no—
194C2×C32×C4—22no—
195C2×C32×C4—21no—
196C2×C32×C4—31no—
197C2×C32×C4—34no—
198C2×C32×C4—34no—
199C2×C32×C4—41no—
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C22×D312yes—
202C2×C3⋊Dic3—31no—
203C2×C3⋊Dic3—32no—
204C2×C3⋊Dic3—34no—
205C2×C3⋊Dic3—62no—
206C2×C3⋊Dic3—61no—
207C2×C3⋊Dic3—121no—
208C2×C3⋊Dic3C22×D314yes—
209C2×C3⋊Dic3C22×D311yescharacteristic
210C4×C3⋊D3—34no—
211C4×C3⋊D3—38no—
212C4×C3⋊D3—34no—
213C4×C3⋊D3—34no—
214C4×C3⋊D3—64no—
215C4×C3⋊D3—68no—
216C4×C3⋊D3—68no—
217C4×C3⋊D3—124no—
218C4×C3⋊D3C4×D314yescomplemented
219C2×C3×Dic3—21no—
220C2×C3×Dic3—24no—
221C2×C3×Dic3—32no—
222C2×C3×Dic3—34no—
223C2×C3×Dic3—34no—
224C2×C3×Dic3—61no—
225C2×C3×Dic3—64no—
226C2×C3×Dic3—68no—
227C2×C3×Dic3C22×D314yes—
228C2×C3×Dic3C22×D314yes—
229C2×C3×Dic3C22×D312yes—
230C3×C4×D3—24no—
231C3×C4×D3—38no—
232C3×C4×D3—64no—
233C3×C4×D3—68no—
234C3×C4×D3—68no—
235C3×C4×D3C4×D318yescomplemented
236#624—24no—
237#624—38no—
238#624—64no—
239#624—68no—
240#624—68no—
241#624—64no—
242#624—128no—
243D3×Dic3—28no—
244D3×Dic3—38no—
245D3×Dic3—38no—
246D3×Dic3—64no—
247D3×Dic3—64no—
248D3×Dic3—68no—
249C22×C4⋊C4—271noSylow
250C2×C33C23×C411yescharacteristic
251C2×C33C22×D411yescharacteristic
252C2×C33C22×Q811yescharacteristic
253C3⋊(C3⋊D3)C2×C4⋊C414yescomplemented
254C3×C3⋊D3C2×C4⋊C414yescomplemented
255C32×D3C2×C4⋊C414yescomplemented
256C23×D3—92no—
257C23×D3—91no—
258C23×D3—181no—
259C22×C3×C4—32no—
260C22×C3×C4—61no—
261C22×C3×C4—92no—
262C22×C3×C4—94no—
263C22×C3×C4—91no—
264C22×Dic3—34no—
265C22×Dic3—92no—
266C22×Dic3—92no—
267C22×Dic3—91no—
268C22×Dic3—181no—
269C2×C4×D3—32no—
270C2×C4×D3—34no—
271C2×C4×D3—34no—
272C2×C4×D3—61no—
273C2×C4×D3—916no—
274C2×C4×D3—92no—
275C2×C4×D3—92no—
276C2×C4×D3—91no—
277C2×C4×D3—92no—
278C2×C4×D3—91no—
279C2×C4×D3—91no—
280C2×C4×D3—98no—
281C2×C4×D3—94no—
282C2×C4×D3—94no—
283C2×C4×D3—94no—
284C2×C4×D3—94no—
285C2×C4×D3—188no—
286C2×C4×D3—181no—
287C2×C4×D3—182no—
288C2×C4×D3—181no—
289C2×C4×D3—181no—
290C2×C4×D3—184no—
291C2×C4×D3—188no—
292C2×C4×D3—1816no—
293C2×C4×D3—361no—
294C2×C4×D3D3211yescharacteristic
295C3×C4⋊C4—32no—
296C3×C4⋊C4—32no—
297C3×C4⋊C4—62no—
298C3×C4⋊C4—92no—
299C3×C4⋊C4—94no—
300C3×C4⋊C4—92no—
301C4⋊Dic3—32no—
302C4⋊Dic3—32no—
303C4⋊Dic3—34no—
304C4⋊Dic3—62no—
305C4⋊Dic3—92no—
306C4⋊Dic3D3212yescomplemented
307Dic3⋊C4—34no—
308Dic3⋊C4—34no—
309Dic3⋊C4—94no—
310Dic3⋊C4—94no—
311Dic3⋊C4—94no—
312Dic3⋊C4—94no—
313Dic3⋊C4—184no—
314C22×C32—22no—
315C22×C32—21no—
316C22×C32—32no—
317C22×C32—32no—
318C22×C32—32no—
319C22×C32—41no—
320C22×C32C23×D311yescharacteristic
321C22×C32C23×D312yes—
322C2×C3⋊D3—34no—
323C2×C3⋊D3—32no—
324C2×C3⋊D3—32no—
325C2×C3⋊D3—34no—
326C2×C3⋊D3—34no—
327C2×C3⋊D3—32no—
328C2×C3⋊D3—316no—
329C2×C3⋊D3—62no—
330C2×C3⋊D3—64no—
331C2×C3⋊D3—64no—
332C2×C3⋊D3—62no—
333C2×C3⋊D3—62no—
334C2×C3⋊D3—64no—
335C2×C3⋊D3—122no—
336C2×C3⋊D3—122no—
337C2×C3⋊D3—122no—
338C2×C3⋊D3C2×C4×D312yes—
339C2×C3⋊D3D3×D412yes—
340C2×C3⋊D3D3×Q812yes—
341C2×C3×D3—22no—
342C2×C3×D3—22no—
343C2×C3×D3—22no—
344C2×C3×D3—34no—
345C2×C3×D3—34no—
346C2×C3×D3—34no—
347C2×C3×D3—62no—
348C2×C3×D3—62no—
349C2×C3×D3—62no—
350C2×C3×D3C2×C4×D314yes—
351C2×C3×D3D3×D414yes—
352C2×C3×D3D3×Q814yes—
353D32—332no—
354D32—616no—
355C32×C4—24no—
356C32×C4—22no—
357C32×C4—32no—
358C32×C4—42no—
359C32×C4—64no—
360C32×C4C2×C4×D312yescomplemented
361C32×C4C2×C4×D314yescomplemented
362C3⋊Dic3—24no—
363C3⋊Dic3—34no—
364C3⋊Dic3—32no—
365C3⋊Dic3—62no—
366C3⋊Dic3—64no—
367C3⋊Dic3—122no—
368C3⋊Dic3C2×C4×D312yescomplemented
369C3×Dic3—24no—
370C3×Dic3—24no—
371C3×Dic3—22no—
372C3×Dic3—34no—
373C3×Dic3—44no—
374C3×Dic3—62no—
375C3×Dic3—64no—
376C3×Dic3—64no—
377C3×Dic3—124no—
378C3×Dic3C2×C4×D314yescomplemented
379C23×C4—271no—
380C23×C4—272no—
381C2×C4⋊C4—91no—
382C2×C4⋊C4—92no—
383C2×C4⋊C4—272no—
384C2×C4⋊C4—272no—
385C2×C4⋊C4—272no—
386C2×C4⋊C4—271no—
387C2×C4⋊C4—272no—
388C33C22×C4⋊C411yescharacteristic, complemented, Sylow
389C23×C3—32no—
390C23×C3—61no—
391C23×C3—91no—
392C22×D3—32no—
393C22×D3—61no—
394C22×D3—98no—
395C22×D3—98no—
396C22×D3—98no—
397C22×D3—91no—
398C22×D3—92no—
399C22×D3—94no—
400C22×D3—94no—
401C22×D3—94no—
402C22×D3—184no—
403C22×D3—184no—
404C22×D3—184no—
405C22×D3—182no—
406C22×D3—181no—
407C22×D3—361no—
408C22×D3C2×D3211yescharacteristic
409C2×C3×C4—22no—
410C2×C3×C4—21no—
411C2×C3×C4—32no—
412C2×C3×C4—38no—
413C2×C3×C4—34no—
414C2×C3×C4—34no—
415C2×C3×C4—41no—
416C2×C3×C4—64no—
417C2×C3×C4—61no—
418C2×C3×C4—64no—
419C2×C3×C4—91no—
420C2×C3×C4—94no—
421C2×C3×C4—94no—
422C2×C3×C4—184no—
423C2×C3×C4—188no—
424C2×C3×C4C2×D3212yes—
425C2×C3×C4C2×D3211yescharacteristic
426C2×Dic3—32no—
427C2×Dic3—34no—
428C2×Dic3—34no—
429C2×Dic3—61no—
430C2×Dic3—64no—
431C2×Dic3—68no—
432C2×Dic3—98no—
433C2×Dic3—92no—
434C2×Dic3—91no—
435C2×Dic3—94no—
436C2×Dic3—184no—
437C2×Dic3—182no—
438C2×Dic3—181no—
439C2×Dic3—184no—
440C2×Dic3—361no—
441C2×Dic3C2×D3214yes—
442C2×Dic3C2×D3211yescharacteristic
443C4×D3—38no—
444C4×D3—64no—
445C4×D3—68no—
446C4×D3—68no—
447C4×D3—98no—
448C4×D3—98no—
449C4×D3—94no—
450C4×D3—98no—
451C4×D3—94no—
452C4×D3—94no—
453C4×D3—184no—
454C4×D3—188no—
455C4×D3—184no—
456C4×D3—184no—
457C4×D3—188no—
458C4×D3—188no—
459C4×D3—188no—
460C4×D3—188no—
461C4×D3—364no—
462C4×D3—368no—
463C4×D3#62414yescomplemented
464C2×C32—21no—
465C2×C32—22no—
466C2×C32—21no—
467C2×C32—22no—
468C2×C32—22no—
469C2×C32—21no—
470C2×C32—34no—
471C2×C32—41no—
472C2×C32—41no—
473C2×C32—41no—
474C2×C32C22×C4×D311yescharacteristic
475C2×C32C22×C4×D312yes—
476C2×C32C2×D3×D412yes—
477C2×C32C2×D3×D411yescharacteristic
478C2×C32C2×D3×Q812yes—
479C2×C32C2×D3×Q811yescharacteristic
480C3⋊D3—38no—
481C3⋊D3—34no—
482C3⋊D3—64no—
483C3⋊D3—68no—
484C3⋊D3—124no—
485C3⋊D3D3×C4⋊C414yescomplemented
486C3×D3—24no—
487C3×D3—38no—
488C3×D3—64no—
489C3×D3D3×C4⋊C418yescomplemented
490C24—271no—
491C22×C4—31no—
492C22×C4—92no—
493C22×C4—94no—
494C22×C4—91no—
495C22×C4—271no—
496C22×C4—278no—
497C22×C4—274no—
498C22×C4—271no—
499C22×C4—272no—
500C22×C4—271no—
501C22×C4—271no—
502C22×C4—548no—
503C4⋊C4—32no—
504C4⋊C4—92no—
505C4⋊C4—94no—
506C4⋊C4—92no—
507C4⋊C4—274no—
508C4⋊C4—272no—
509C22×C3—22no—
510C22×C3—21no—
511C22×C3—34no—
512C22×C3—34no—
513C22×C3—34no—
514C22×C3—41no—
515C22×C3—62no—
516C22×C3—62no—
517C22×C3—62no—
518C22×C3—92no—
519C22×C3—92no—
520C22×C3—92no—
521C22×C3C22×D3211yescharacteristic
522C22×C3C22×D3212yes—
523C2×D3—34no—
524C2×D3—34no—
525C2×D3—34no—
526C2×D3—62no—
527C2×D3—62no—
528C2×D3—62no—
529C2×D3—932no—
530C2×D3—92no—
531C2×D3—94no—
532C2×D3—92no—
533C2×D3—94no—
534C2×D3—94no—
535C2×D3—92no—
536C2×D3—916no—
537C2×D3—1816no—
538C2×D3—182no—
539C2×D3—184no—
540C2×D3—184no—
541C2×D3—182no—
542C2×D3—182no—
543C2×D3—184no—
544C2×D3—362no—
545C2×D3—362no—
546C2×D3—362no—
547C2×D3#379712yes—
548C2×D3#380212yes—
549C2×D3C2×#62412yes—
550C3×C4—22no—
551C3×C4—24no—
552C3×C4—34no—
553C3×C4—42no—
554C3×C4—62no—
555C3×C4—64no—
556C3×C4—64no—
557C3×C4—92no—
558C3×C4—124no—
559C3×C4—184no—
560C3×C4C4×D3214yescomplemented
561C3×C4C2×#62412yescomplemented
562Dic3—24no—
563Dic3—34no—
564Dic3—62no—
565Dic3—64no—
566Dic3—64no—
567Dic3—94no—
568Dic3—92no—
569Dic3—124no—
570Dic3—182no—
571Dic3—184no—
572Dic3—362no—
573Dic3C2×#62412yescomplemented
574C32—22no—
575C32—21no—
576C32—41no—
577C32C2×D3×C4⋊C411yescharacteristic, complemented
578C32C2×D3×C4⋊C412yescomplemented
579C23—31no—
580C23—91no—
581C23—274no—
582C23—274no—
583C23—274no—
584C23—271no—
585C2×C4—31no—
586C2×C4—34no—
587C2×C4—34no—
588C2×C4—91no—
589C2×C4—94no—
590C2×C4—94no—
591C2×C4—184no—
592C2×C4—188no—
593C2×C4—274no—
594C2×C4—274no—
595C2×C4—274no—
596C2×C4—271no—
597C2×C4—274no—
598C2×C4—548no—
599C2×C4—544no—
600C2×C4D3311yescharacteristic
601C2×C3—21no—
602C2×C3—22no—
603C2×C3—22no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—22no—
607C2×C3—38no—
608C2×C3—41no—
609C2×C3—41no—
610C2×C3—41no—
611C2×C3—64no—
612C2×C3—94no—
613C2×C3C2×#379711yescharacteristic
614C2×C3C2×C4×D3212yes—
615C2×C3C2×#380211yescharacteristic
616C2×C3D32×D412yes—
617C2×C3D32×Q812yes—
618C2×C3C22×#62411yescharacteristic
619D3—38no—
620D3—64no—
621D3—98no—
622D3—94no—
623D3—184no—
624D3—188no—
625D3—364no—
626D3#6390014yesdirect product factor
627C22—32no—
628C22—32no—
629C22—32no—
630C22—92no—
631C22—92no—
632C22—92no—
633C22—2716no—
634C22—272no—
635C22—272no—
636C22—272no—
637C22C2×D3311yescharacteristic
638C4—32no—
639C4—64no—
640C4—92no—
641C4—184no—
642C4—272no—
643C4D3×#62412yescomplemented
644C3—21no—
645C3—22no—
646C3—41no—
647C3D32×C4⋊C412yescomplemented
648C3C2×#6390011yescharacteristic, complemented
649C2—34no—
650C2—94no—
651C2—274no—
652C2D3×#379711yescharacteristic
653C2D3×#380211yescharacteristic
654C2C2×D3×#62411yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutatorC2×C33C23×C4
FittingC2×C33×C4C23
socle, cosocleC22×C33C24
prime radicalC22×D3×C3⋊D3C22
hypercenterC2×C4D33
hypocenterC33C22×C4⋊C4
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
3. #11723689C2semidirect
4. #11723503C2semidirect
5. C3×#63900C2semidirect
6. C3×D3×C4⋊Dic3C2semidirect
7. #11722912C2semidirect
8. #11722911C2semidirect
9. D3×#3724C2semidirect
21. C4×D3×C3⋊D3C4semidirect
25. C3×C4⋊(C3⋊Dic3)C22semidirect
26. C32×C4⋊Dic3C22semidirect
27. #88815C22semidirect
28. #88806C22semidirect
29. C3×#3724C22semidirect
30. C3×Dic3⋊Dic3C22semidirect
47. #63900D3direct (N × H)
49. D3×C4⋊Dic3D3semidirect
61. C4×C3⋊(C3⋊D3)C2×C4semidirect
64. C3×C4×C3⋊D3C2×C4semidirect
67. C32×C4×D3C2×C4semidirect
70. #6289C2×C4semidirect
71. Dic3×C3⋊D3C2×C4semidirect
72. D3×C3⋊Dic3C2×C4semidirect
117. C4⋊(C3⋊Dic3)C2×D3semidirect
124. C3×C4⋊Dic3C2×D3semidirect
125. C3×C4⋊Dic3C2×D3semidirect
132. #3724C2×D3semidirect
134. Dic3⋊Dic3C2×D3semidirect
145. D3×C3⋊D3C4⋊C4semidirect
146. C33×C4C22×C4semidirect
147. C3⋊(C3⋊Dic3)C22×C4semidirect
149. C3×C3⋊Dic3C22×C4semidirect
151. C32×Dic3C22×C4semidirect
218. C4×C3⋊D3C4×D3semidirect
235. C3×C4×D3C4×D3semidirect
253. C3⋊(C3⋊D3)C2×C4⋊C4semidirect
254. C3×C3⋊D3C2×C4⋊C4semidirect
255. C32×D3C2×C4⋊C4semidirect
306. C4⋊Dic3D32semidirect
360. C32×C4C2×C4×D3semidirect
361. C32×C4C2×C4×D3semidirect
368. C3⋊Dic3C2×C4×D3semidirect
378. C3×Dic3C2×C4×D3semidirect
388. C33C22×C4⋊C4semidirect
463. C4×D3#624semidirect
485. C3⋊D3D3×C4⋊C4semidirect
489. C3×D3D3×C4⋊C4semidirect
560. C3×C4C4×D32semidirect
561. C3×C4C2×#624semidirect
573. Dic3C2×#624semidirect
577. C32C2×D3×C4⋊C4semidirect
578. C32C2×D3×C4⋊C4semidirect
626. D3#63900direct (N × H)
643. C4D3×#624semidirect
647. C3D32×C4⋊C4semidirect
648. C3C2×#63900semidirect

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
C2×D3×#6242
#117236892
#117235032
C3×#639002
C3×D3×C4⋊Dic32
#117229122
#117229112
D3×#37242
C2×#639003
D32×C4⋊C43