Finite Group Databasebeta

← C2×C3×D3×SL(2,ℤ/4) #13180725

Subgroups — C2×C3×D3×SL(2,ℤ/4) #13180725

Order 1728.

1287 conjugacy classes of subgroups; only the 154 normal subgroups are shown.

normal subgroups only

This group has 1287 conjugacy classes of subgroups — too many to draw. Only its 154 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×A4C211yesmaximal, characteristic
2C2×C3×C3⋊SL(2,ℤ/4)C211yesmaximal, characteristic, complemented
3C2×C32×SL(2,ℤ/4)C211yesmaximal, characteristic, complemented
4C3×D3×SL(2,ℤ/4)C214yesmaximal, direct product factor
5C22×C3×SL(2,ℤ/4)—31nomaximal
6C2×D3×SL(2,ℤ/4)C311yesmaximal, characteristic, direct product factor
7C2×C3×D3×C22⋊C4—31nomaximal
8C22×C32×A4C2211yescharacteristic
9C2×C3×D3×A4C414yescomplemented
10C2×C3×D3×A4C2212yes—
11C2×C3×D3×Dic3—41nomaximal
12C3×C3⋊SL(2,ℤ/4)C2212yescomplemented
13C32×SL(2,ℤ/4)C2212yescomplemented
14C24×C3×D3D311yescharacteristic
15C23×C3×A4—31no—
16C22×D3×A4—21no—
17C22×D3×A4C2×C311yescharacteristic
18C22×C3×C4×D3—31no—
19C22×C3×C4×D3—31no—
20C2×C3⋊SL(2,ℤ/4)C2×C311yescharacteristic, complemented
21C2×C3×SL(2,ℤ/4)—21no—
22C2×C3×SL(2,ℤ/4)—34no—
23C2×C3×SL(2,ℤ/4)—31no—
24C2×C3×SL(2,ℤ/4)—61no—
25C2×C3×SL(2,ℤ/4)D311yescharacteristic, direct product factor
26C2×C3×SL(2,ℤ/4)C2×C311yescharacteristic, complemented
27D3×SL(2,ℤ/4)C2×C314yesdirect product factor
28C2×C32×C22⋊C4—31no—
29C2×C3×#217—31no—
30C2×C3×(C2×D3)⋊C4—31no—
31C2×C3×(C2×D3)⋊C4—31no—
32C3×D3×C22⋊C4—34no—
33C3×D3×C22⋊C4—34no—
34C22×C32×D3—41no—
35C2×C32×A4C2×C412yescomplemented
36C2×C32×A4C2311yescharacteristic
37C3×D3×A4C2×C414yescomplemented
38C2×C3×C3⋊Dic3—41no—
39C2×C32×Dic3—41no—
40C3×D3×Dic3—44no—
41C22×SL(2,ℤ/4)—31no—
42C22×C3×C22⋊C4—91no—
43C2×D3×C22⋊C4—31no—
44C24×C32C2×D311yescharacteristic
45C23×C3×D3—31no—
46C23×C3×D3—32no—
47C23×C3×D3—31no—
48C23×C3×D3—34no—
49C23×C3×D3Dic314yescomplemented
50C23×C3×D3C2×D312yes—
51C22×C3×A4—21no—
52C22×C3×A4—21no—
53C22×C3×A4—21no—
54C22×C3×A4—34no—
55C22×C3×A4—32no—
56C22×C3×A4—41no—
57C22×C3×A4C2×D311yescharacteristic
58C22×C3×A4C22×C311yescharacteristic
59C2×D3×A4—24no—
60C2×D3×A4—22no—
61C2×D3×A4C3×C414yescomplemented
62C2×D3×A4C22×C312yes—
63C22×C32×C4—31no—
64C22×C32×C4—31no—
65C22×C3×Dic3—31no—
66C22×C3×Dic3—31no—
67C22×C3×Dic3—121no—
68C2×C3×C4×D3—34no—
69C2×C3×C4×D3—34no—
70C2×C3×C4×D3—64no—
71C2×C3×C4×D3—61no—
72C2×C3×C4×D3—62no—
73C2×C3×C4×D3—61no—
74C2×D3×Dic3—41no—
75C3⋊SL(2,ℤ/4)C22×C312yescomplemented
76C3×SL(2,ℤ/4)—22no—
77C3×SL(2,ℤ/4)—32no—
78C3×SL(2,ℤ/4)—62no—
79C3×SL(2,ℤ/4)C2×D312yesdirect product factor
80C3×SL(2,ℤ/4)C22×C312yescomplemented
81C32×C22⋊C4—32no—
82C32×C22⋊C4—32no—
83C3×#217—32no—
84C3×#217—32no—
85C3×(C2×D3)⋊C4—34no—
86C3×(C2×D3)⋊C4—34no—
87C22×C33—41no—
88C2×C32×D3—44no—
89C2×C32×D3—42no—
90C32×A4C22×C411yescharacteristic, complemented
91C3×C3⋊Dic3—42no—
92C32×Dic3—42no—
93C25×C3—31no—
94C24×D3C3×D311yescharacteristic
95C23×A4—31no—
96C23×A4—61no—
97C23×C3×C4—91no—
98C23×C3×C4—91no—
99C22×C4×D3—31no—
100C22×C4×D3—31no—
101C2×SL(2,ℤ/4)—31no—
102C2×SL(2,ℤ/4)—34no—
103C2×SL(2,ℤ/4)—61no—
104C2×SL(2,ℤ/4)C3×D311yescharacteristic, direct product factor
105C2×C3×C22⋊C4—31no—
106C2×C3×C22⋊C4—31no—
107C2×C3×C22⋊C4—61no—
108C2×C3×C22⋊C4—94no—
109C2×C3×C22⋊C4—94no—
110C2×C3×C22⋊C4—91no—
111C2×C3×C22⋊C4—91no—
112C2×C3×C22⋊C4—91no—
113C2×#217—31no—
114C2×(C2×D3)⋊C4—31no—
115C2×(C2×D3)⋊C4—31no—
116D3×C22⋊C4—34no—
117D3×C22⋊C4—34no—
118C23×C32—31no—
119C23×C32—32no—
120C23×C32—31no—
121C23×C32—121no—
122C23×C32C2×Dic312yescomplemented
123C23×C32C22×D311yescharacteristic
124C22×C3×D3—31no—
125C22×C3×D3—34no—
126C22×C3×D3—34no—
127C22×C3×D3—32no—
128C22×C3×D3—32no—
129C22×C3×D3—34no—
130C22×C3×D3—38no—
131C22×C3×D3—34no—
132C22×C3×D3—32no—
133C22×C3×D3—41no—
134C22×C3×D3—64no—
135C22×C3×D3—62no—
136C22×C3×D3—61no—
137C22×C3×D3—81no—
138C22×C3×D3C2×Dic314yescomplemented
139C22×C3×D3S411yescharacteristic
140C2×C3×A4—22no—
141C2×C3×A4—22no—
142C2×C3×A4—21no—
143C2×C3×A4—21no—
144C2×C3×A4—22no—
145C2×C3×A4—21no—
146C2×C3×A4—34no—
147C2×C3×A4—42no—
148C2×C3×A4—41no—
149C2×C3×A4C4×D312yescomplemented
150C2×C3×A4C2×C3×C412yescomplemented
151C2×C3×A4C22×D311yescharacteristic
152C2×C3×A4C23×C311yescharacteristic
153D3×A4—24no—
154D3×A4C2×C3×C414yescomplemented
155C2×C32×C4—32no—
156C2×C32×C4—32no—
157C2×C32×C4—62no—
158C2×C32×C4—61no—
159C2×C32×C4—61no—
160C2×C3⋊Dic3—41no—
161C2×C3×Dic3—32no—
162C2×C3×Dic3—32no—
163C2×C3×Dic3—41no—
164C2×C3×Dic3—41no—
165C2×C3×Dic3—62no—
166C2×C3×Dic3—61no—
167C2×C3×Dic3—61no—
168C2×C3×Dic3—81no—
169C2×C3×Dic3—124no—
170C2×C3×Dic3—121no—
171C2×C3×Dic3—241no—
172C3×C4×D3—68no—
173C3×C4×D3—64no—
174C3×C4×D3—64no—
175D3×Dic3—44no—
176C22×C22⋊C4—91noSylow
177C2×C33—42no—
178C2×C33—41no—
179C32×D3—44no—
180C24×C3—21no—
181C24×C3—34no—
182C24×C3—32no—
183C24×C3—91no—
184C24×C3—94no—
185C24×C3—91no—
186C24×C3—92no—
187C24×C3D3211yescharacteristic
188C24×C3C2×C3×D311yescharacteristic
189C23×D3—31no—
190C23×D3—32no—
191C23×D3—31no—
192C23×D3—34no—
193C23×D3C3×Dic314yescomplemented
194C23×D3C2×C3×D312yes—
195C22×A4—21no—
196C22×A4—21no—
197C22×A4—34no—
198C22×A4—32no—
199C22×A4—41no—
200C22×A4—64no—
201C22×A4—62no—
202C22×A4C2×C3×D311yescharacteristic
203C22×C3×C4—31no—
204C22×C3×C4—31no—
205C22×C3×C4—31no—
206C22×C3×C4—31no—
207C22×C3×C4—61no—
208C22×C3×C4—61no—
209C22×C3×C4—94no—
210C22×C3×C4—94no—
211C22×C3×C4—91no—
212C22×C3×C4—91no—
213C22×C3×C4—181no—
214C22×C3×C4—182no—
215C22×C3×C4—184no—
216C22×C3×C4—181no—
217C22×Dic3—31no—
218C22×Dic3—31no—
219C22×Dic3—121no—
220C2×C4×D3—34no—
221C2×C4×D3—34no—
222C2×C4×D3—64no—
223C2×C4×D3—61no—
224C2×C4×D3—62no—
225C2×C4×D3—61no—
226SL(2,ℤ/4)—32no—
227SL(2,ℤ/4)—62no—
228SL(2,ℤ/4)C2×C3×D312yesdirect product factor
229C3×C22⋊C4—32no—
230C3×C22⋊C4—32no—
231C3×C22⋊C4—32no—
232C3×C22⋊C4—32no—
233C3×C22⋊C4—62no—
234C3×C22⋊C4—62no—
235C3×C22⋊C4—94no—
236C3×C22⋊C4—94no—
237C3×C22⋊C4—92no—
238C3×C22⋊C4—92no—
239#217—32no—
240#217—32no—
241(C2×D3)⋊C4—34no—
242(C2×D3)⋊C4—34no—
243C22×C32—32no—
244C22×C32—31no—
245C22×C32—32no—
246C22×C32—32no—
247C22×C32—31no—
248C22×C32—31no—
249C22×C32—41no—
250C22×C32—41no—
251C22×C32—61no—
252C22×C32—81no—
253C22×C32—81no—
254C22×C32—81no—
255C22×C32—122no—
256C22×C32—124no—
257C22×C32—161no—
258C22×C32C22×Dic311yescharacteristic, complemented
259C22×C32C2×S411yescharacteristic
260C2×C3×D3—34no—
261C2×C3×D3—32no—
262C2×C3×D3—34no—
263C2×C3×D3—34no—
264C2×C3×D3—38no—
265C2×C3×D3—34no—
266C2×C3×D3—42no—
267C2×C3×D3—44no—
268C2×C3×D3—62no—
269C2×C3×D3—64no—
270C2×C3×D3—82no—
271C2×C3×D3—84no—
272C2×C3×D3SL(2,ℤ/4)14yesdirect product factor
273C2×C3×D3C2×S412yes—
274C3×A4—21no—
275C3×A4—21no—
276C3×A4—21no—
277C3×A4—41no—
278C3×A4C2×C4×D311yescharacteristic, complemented
279C3×A4C22×C3×C411yescharacteristic, complemented
280C32×C4—62no—
281C32×C4—62no—
282C3⋊Dic3—42no—
283C3×Dic3—42no—
284C3×Dic3—42no—
285C3×Dic3—62no—
286C3×Dic3—62no—
287C3×Dic3—82no—
288C3×Dic3—122no—
289C3×Dic3—242no—
290C25—31no—
291C23×C4—91no—
292C23×C4—91no—
293C2×C22⋊C4—31no—
294C2×C22⋊C4—94no—
295C2×C22⋊C4—94no—
296C2×C22⋊C4—91no—
297C2×C22⋊C4—91no—
298C2×C22⋊C4—91no—
299C33—41noSylow
300C23×C3—22no—
301C23×C3—21no—
302C23×C3—31no—
303C23×C3—31no—
304C23×C3—31no—
305C23×C3—31no—
306C23×C3—31no—
307C23×C3—32no—
308C23×C3—32no—
309C23×C3—34no—
310C23×C3—61no—
311C23×C3—61no—
312C23×C3—62no—
313C23×C3—92no—
314C23×C3—92no—
315C23×C3—94no—
316C23×C3—94no—
317C23×C3—92no—
318C23×C3—98no—
319C23×C3—94no—
320C23×C3—94no—
321C23×C3—91no—
322C23×C3—121no—
323C23×C3—181no—
324C23×C3—182no—
325C23×C3—184no—
326C23×C3—241no—
327C23×C3D3×Dic312yescomplemented
328C23×C3C2×C3×Dic312yescomplemented
329C23×C3C2×D3211yescharacteristic
330C23×C3C22×C3×D311yescharacteristic
331C22×D3—31no—
332C22×D3—32no—
333C22×D3—32no—
334C22×D3—34no—
335C22×D3—34no—
336C22×D3—32no—
337C22×D3—34no—
338C22×D3—38no—
339C22×D3—34no—
340C22×D3—64no—
341C22×D3—62no—
342C22×D3—61no—
343C22×D3C2×C3×Dic314yescomplemented
344C22×D3C3×S411yescharacteristic
345C2×A4—22no—
346C2×A4—22no—
347C2×A4—21no—
348C2×A4—21no—
349C2×A4—34no—
350C2×A4—42no—
351C2×A4—41no—
352C2×A4—64no—
353C2×A4C3×C4×D312yescomplemented
354C2×A4C22×C3×D311yescharacteristic
355C2×C3×C4—32no—
356C2×C3×C4—32no—
357C2×C3×C4—32no—
358C2×C3×C4—32no—
359C2×C3×C4—62no—
360C2×C3×C4—62no—
361C2×C3×C4—62no—
362C2×C3×C4—61no—
363C2×C3×C4—62no—
364C2×C3×C4—61no—
365C2×C3×C4—61no—
366C2×C3×C4—61no—
367C2×C3×C4—92no—
368C2×C3×C4—92no—
369C2×C3×C4—121no—
370C2×C3×C4—121no—
371C2×C3×C4—122no—
372C2×C3×C4—184no—
373C2×C3×C4—188no—
374C2×C3×C4—184no—
375C2×C3×C4—182no—
376C2×C3×C4—181no—
377C2×C3×C4—181no—
378C2×Dic3—32no—
379C2×Dic3—32no—
380C2×Dic3—41no—
381C2×Dic3—62no—
382C2×Dic3—61no—
383C2×Dic3—61no—
384C2×Dic3—124no—
385C2×Dic3—121no—
386C2×Dic3—241no—
387C4×D3—68no—
388C4×D3—64no—
389C4×D3—64no—
390C2×C32—31no—
391C2×C32—31no—
392C2×C32—32no—
393C2×C32—42no—
394C2×C32—41no—
395C2×C32—41no—
396C2×C32—42no—
397C2×C32—81no—
398C2×C32—82no—
399C2×C32—82no—
400C2×C32—81no—
401C2×C32—81no—
402C2×C32—82no—
403C2×C32—124no—
404C2×C32—162no—
405C2×C32—161no—
406C2×C32C2×SL(2,ℤ/4)12yescomplemented
407C2×C32C22×S411yescharacteristic
408C3×D3—34no—
409C3×D3—44no—
410C3×D3—84no—
411C3×D3C2×SL(2,ℤ/4)14yesdirect product factor
412C24—34no—
413C24—32no—
414C24—91no—
415C24—91no—
416C24—92no—
417C24—94no—
418C24C3×D3211yescharacteristic
419C22×C4—31no—
420C22×C4—31no—
421C22×C4—94no—
422C22×C4—94no—
423C22×C4—91no—
424C22×C4—91no—
425C22×C4—181no—
426C22×C4—182no—
427C22×C4—184no—
428C22×C4—181no—
429C22⋊C4—32no—
430C22⋊C4—32no—
431C22⋊C4—94no—
432C22⋊C4—94no—
433C22⋊C4—92no—
434C22⋊C4—92no—
435C22×C3—21no—
436C22×C3—21no—
437C22×C3—32no—
438C22×C3—31no—
439C22×C3—32no—
440C22×C3—31no—
441C22×C3—32no—
442C22×C3—32no—
443C22×C3—31no—
444C22×C3—31no—
445C22×C3—32no—
446C22×C3—31no—
447C22×C3—31no—
448C22×C3—32no—
449C22×C3—32no—
450C22×C3—34no—
451C22×C3—41no—
452C22×C3—61no—
453C22×C3—62no—
454C22×C3—61no—
455C22×C3—62no—
456C22×C3—62no—
457C22×C3—61no—
458C22×C3—61no—
459C22×C3—61no—
460C22×C3—81no—
461C22×C3—81no—
462C22×C3—94no—
463C22×C3—94no—
464C22×C3—98no—
465C22×C3—94no—
466C22×C3—92no—
467C22×C3—94no—
468C22×C3—122no—
469C22×C3—124no—
470C22×C3—121no—
471C22×C3—161no—
472C22×C3—182no—
473C22×C3—184no—
474C22×C3—244no—
475C22×C3—242no—
476C22×C3C2×D3×Dic311yescharacteristic, complemented
477C22×C3C22×C3×Dic311yescharacteristic, complemented
478C22×C3D3×S411yescharacteristic
479C22×C3C2×C3×S411yescharacteristic
480C2×D3—34no—
481C2×D3—32no—
482C2×D3—34no—
483C2×D3—34no—
484C2×D3—38no—
485C2×D3—34no—
486C2×D3—62no—
487C2×D3—64no—
488C2×D3C3×SL(2,ℤ/4)14yesdirect product factor
489C2×D3C2×C3×S412yes—
490A4—21no—
491A4—21no—
492A4—41no—
493A4C2×C3×C4×D311yescharacteristic, complemented
494C3×C4—62no—
495C3×C4—62no—
496C3×C4—62no—
497C3×C4—62no—
498C3×C4—122no—
499C3×C4—122no—
500C3×C4—182no—
501C3×C4—182no—
502Dic3—42no—
503Dic3—62no—
504Dic3—62no—
505Dic3—122no—
506Dic3—242no—
507C32—41no—
508C32—41no—
509C32—81no—
510C32—81no—
511C32—81no—
512C32—161no—
513C32C22×SL(2,ℤ/4)11yescharacteristic, complemented
514C23—31no—
515C23—31no—
516C23—31no—
517C23—32no—
518C23—34no—
519C23—92no—
520C23—94no—
521C23—92no—
522C23—94no—
523C23—92no—
524C23—98no—
525C23—94no—
526C23—94no—
527C23—91no—
528C23—182no—
529C23—181no—
530C23—184no—
531C23C3×D3×Dic312yescomplemented
532C23C2×C3×D3211yescharacteristic
533C2×C4—32no—
534C2×C4—32no—
535C2×C4—62no—
536C2×C4—61no—
537C2×C4—61no—
538C2×C4—92no—
539C2×C4—92no—
540C2×C4—184no—
541C2×C4—188no—
542C2×C4—184no—
543C2×C4—182no—
544C2×C4—181no—
545C2×C4—181no—
546C2×C3—22no—
547C2×C3—21no—
548C2×C3—31no—
549C2×C3—31no—
550C2×C3—32no—
551C2×C3—34no—
552C2×C3—31no—
553C2×C3—31no—
554C2×C3—32no—
555C2×C3—42no—
556C2×C3—41no—
557C2×C3—61no—
558C2×C3—61no—
559C2×C3—62no—
560C2×C3—82no—
561C2×C3—82no—
562C2×C3—81no—
563C2×C3—81no—
564C2×C3—94no—
565C2×C3—124no—
566C2×C3—162no—
567C2×C3—161no—
568C2×C3—244no—
569C2×C3D3×SL(2,ℤ/4)12yesdirect product factor
570C2×C3C2×C3×SL(2,ℤ/4)12yescomplemented
571C2×C3C2×D3×S411yescharacteristic
572C2×C3C22×C3×S411yescharacteristic
573D3—34no—
574D3C2×C3×SL(2,ℤ/4)14yesdirect product factor
575C22—32no—
576C22—31no—
577C22—32no—
578C22—32no—
579C22—34no—
580C22—31no—
581C22—31no—
582C22—32no—
583C22—61no—
584C22—94no—
585C22—94no—
586C22—98no—
587C22—94no—
588C22—94no—
589C22—92no—
590C22—182no—
591C22—184no—
592C22C2×C3×D3×Dic311yescharacteristic, complemented
593C22C3×D3×S411yescharacteristic
594C4—62no—
595C4—62no—
596C4—182no—
597C4—182no—
598C3—21no—
599C3—41no—
600C3—81no—
601C3—81no—
602C3—161no—
603C3C2×D3×SL(2,ℤ/4)11yescharacteristic, direct product factor
604C3C22×C3×SL(2,ℤ/4)11yescharacteristic, complemented
605C2—31no—
606C2—31no—
607C2—32no—
608C2—34no—
609C2—94no—
610C2C3×D3×SL(2,ℤ/4)12yesdirect product factor
611C2C2×C3×D3×S411yescharacteristic
subgroupG/H
center, hypercenterC22×C3D3×S4
commutator, hypocenterC3×A4C22×C3×C4
FrattiniC2C2×C3×D3×S4
Fitting, socleC24×C32C2×D3
prime radicalC22×C3×D3×A4C2
cosocleC2×C3×A4C23×C3
LCSG ▷ C3×A4
UCSC1 ◁ C22×C3

Complements

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

NH ≅ G/Ntype
2. C2×C3×C3⋊SL(2,ℤ/4)C2semidirect
3. C2×C32×SL(2,ℤ/4)C2semidirect
4. C3×D3×SL(2,ℤ/4)C2direct (N × H)
6. C2×D3×SL(2,ℤ/4)C3direct (N × H)
9. C2×C3×D3×A4C4semidirect
12. C3×C3⋊SL(2,ℤ/4)C22semidirect
13. C32×SL(2,ℤ/4)C22semidirect
20. C2×C3⋊SL(2,ℤ/4)C2×C3semidirect
25. C2×C3×SL(2,ℤ/4)D3direct (N × H)
26. C2×C3×SL(2,ℤ/4)C2×C3semidirect
27. D3×SL(2,ℤ/4)C2×C3direct (N × H)
35. C2×C32×A4C2×C4semidirect
37. C3×D3×A4C2×C4semidirect
49. C23×C3×D3Dic3semidirect
61. C2×D3×A4C3×C4semidirect
75. C3⋊SL(2,ℤ/4)C22×C3semidirect
79. C3×SL(2,ℤ/4)C2×D3direct (N × H)
80. C3×SL(2,ℤ/4)C22×C3semidirect
90. C32×A4C22×C4semidirect
104. C2×SL(2,ℤ/4)C3×D3direct (N × H)
122. C23×C32C2×Dic3semidirect
138. C22×C3×D3C2×Dic3semidirect
149. C2×C3×A4C4×D3semidirect
150. C2×C3×A4C2×C3×C4semidirect
154. D3×A4C2×C3×C4semidirect
193. C23×D3C3×Dic3semidirect
228. SL(2,ℤ/4)C2×C3×D3direct (N × H)
258. C22×C32C22×Dic3semidirect
272. C2×C3×D3SL(2,ℤ/4)direct (N × H)
278. C3×A4C2×C4×D3semidirect
279. C3×A4C22×C3×C4semidirect
327. C23×C3D3×Dic3semidirect
328. C23×C3C2×C3×Dic3semidirect
343. C22×D3C2×C3×Dic3semidirect
353. C2×A4C3×C4×D3semidirect
406. C2×C32C2×SL(2,ℤ/4)semidirect
411. C3×D3C2×SL(2,ℤ/4)direct (N × H)
476. C22×C3C2×D3×Dic3semidirect
477. C22×C3C22×C3×Dic3semidirect
488. C2×D3C3×SL(2,ℤ/4)direct (N × H)
493. A4C2×C3×C4×D3semidirect
513. C32C22×SL(2,ℤ/4)semidirect
531. C23C3×D3×Dic3semidirect
569. C2×C3D3×SL(2,ℤ/4)direct (N × H)
570. C2×C3C2×C3×SL(2,ℤ/4)semidirect
574. D3C2×C3×SL(2,ℤ/4)direct (N × H)
592. C22C2×C3×D3×Dic3semidirect
603. C3C2×D3×SL(2,ℤ/4)direct (N × H)
604. C3C22×C3×SL(2,ℤ/4)semidirect
610. C2C3×D3×SL(2,ℤ/4)direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×D3×A42
C2×C3×C3⋊SL(2,ℤ/4)2
C2×C32×SL(2,ℤ/4)2
C3×D3×SL(2,ℤ/4)2
C22×C3×SL(2,ℤ/4)3
C2×D3×SL(2,ℤ/4)3
C2×C3×D3×C22⋊C43
C2×C3×D3×Dic34