Finite Group Databasebeta

← C22×C3×D3×D12 #13181538

Subgroups — C22×C3×D3×D12 #13181538

Order 1728.

6210 conjugacy classes of subgroups.

The subgroup lattice has 540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C3×D32C212yesmaximal, complemented
2C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C22×C32×D12C211yesmaximal, characteristic, complemented
4C22×C32×C4×D3C211yesmaximal, characteristic, complemented
5C22×C3×#626C212yesmaximal, complemented
6C2×C3×D3×D12C2124yesmaximal, direct product factor
7C22×C3×D3×D4—31nomaximal
8C23×C3×D12—31nomaximal
9C22×D3×D12C311yesmaximal, characteristic, direct product factor
10C23×C3×C3⋊D3C2212yescomplemented
11C23×C32×D3C2211yescharacteristic
12C23×C32×D3C2212yescomplemented
13C22×C3×D32—216no—
14C22×C3×D32C22124yescomplemented
15C22×C33×C4C2211yescharacteristic, complemented
16C2×C3×C4⋊(C3⋊D3)C22112yescomplemented
17C22×C32×Dic3C2211yescharacteristic, complemented
18C2×C32×D12C22112yescomplemented
19C2×C32×C4×D3C22112yescomplemented
20C2×C3×#626C22124yescomplemented
21C3×D3×D12C22164yesdirect product factor
22C24×C3×D3—32no—
23C24×C3×D3—32no—
24C23×D32C2×C312yescomplemented
25C22×C32×D4—31no—
26C23×C32×C4—31no—
27C22×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
28C22×C3×#67—32no—
29C2×C3×D3×D4—324no—
30C22×C3×D12—21no—
31C22×C3×D12—31no—
32C22×C3×D12—31no—
33C22×C3×D12—324no—
34C22×C3×D12—32no—
35C22×C3×D12—61no—
36C22×C3×D12D311yescharacteristic, direct product factor
37C22×C3×D12C2×C311yescharacteristic, complemented
38C22×C3×C4×D3—21no—
39C22×C3×C4×D3D311yescharacteristic, complemented
40C22×C3×C4×D3C2×C311yescharacteristic, complemented
41C22×#626C2×C312yescomplemented
42C2×D3×D12C2×C3124yesdirect product factor
43C23×C33C2311yescharacteristic
44C22×C3×C3⋊D3—28no—
45C22×C3×C3⋊D3C23112yescomplemented
46C22×C32×D3—28no—
47C22×C32×D3D418yescomplemented
48C22×C32×D3C2316yes—
49C22×C32×D3C23112yescomplemented
50C2×C3×D32—296no—
51C2×C3×D32C23132yescomplemented
52C2×C33×C4C2316yescomplemented
53C3×C4⋊(C3⋊D3)C23116yescomplemented
54C2×C32×Dic3C2316yescomplemented
55C32×D12C23116yescomplemented
56C32×C4×D3C23116yescomplemented
57C3×#626C23132yescomplemented
58C23×C3×D4—91no—
59C22×D3×D4—31no—
60C23×D12—31no—
61C24×C32—31no—
62C24×C32—32no—
63C23×C3⋊D3C22×C312yescomplemented
64C23×C3×D3—21no—
65C23×C3×D3—22no—
66C23×C3×D3—32no—
67C23×C3×D3—32no—
68C23×C3×D3—324no—
69C23×C3×D3—324no—
70C23×C3×D3—616no—
71C23×C3×D3—616no—
72C23×C3×D3—62no—
73C23×C3×D3C2×D311yescharacteristic
74C23×C3×D3C2×D312yescomplemented
75C23×C3×D3C22×C311yescharacteristic
76C23×C3×D3C22×C312yescomplemented
77C22×D32—216no—
78C22×D32C22×C3124yescomplemented
79C2×C32×D4—312no—
80C22×C32×C4—21no—
81C22×C32×C4—21no—
82C22×C32×C4—21no—
83C22×C32×C4—31no—
84C22×C32×C4—312no—
85C22×C32×C4—41no—
86C22×C32×C4C2×D311yescharacteristic, complemented
87C22×C32×C4C2×D311yescharacteristic, complemented
88C22×C32×C4C22×C311yescharacteristic, complemented
89C2×C4⋊(C3⋊D3)C22×C3112yescomplemented
90C2×C3×#67—324no—
91C22×C3×Dic3—21no—
92C22×C3×Dic3C2×D311yescharacteristic, complemented
93C22×C3×Dic3C22×C311yescharacteristic, complemented
94C3×D3×D4—364no—
95C2×C3×D12—212no—
96C2×C3×D12—324no—
97C2×C3×D12—312no—
98C2×C3×D12—312no—
99C2×C3×D12—364no—
100C2×C3×D12—612no—
101C2×C3×D12C2×D3112yesdirect product factor
102C2×C3×D12C22×C3112yescomplemented
103C2×C3×C4×D3—212no—
104C2×C3×C4×D3C2×D3112yescomplemented
105C2×C3×C4×D3C22×C3112yescomplemented
106C2×#626C22×C3124yescomplemented
107D3×D12C22×C3164yesdirect product factor
108C22×C33C2×D414yescomplemented
109C22×C33C2413yes—
110C2×C3×C3⋊D3—224no—
111C2×C3×C3⋊D3C2418yescomplemented
112C2×C32×D3—224no—
113C2×C32×D3C2×D4124yescomplemented
114C2×C32×D3C2414yes—
115C2×C32×D3C2418yescomplemented
116C3×D32—264no—
117C33×C4C2414yescomplemented
118C32×Dic3C2414yescomplemented
119C25×C3—92no—
120C24×D3—32no—
121C24×D3—32no—
122C22×C3×D4—31no—
123C22×C3×D4—31no—
124C22×C3×D4—61no—
125C22×C3×D4—924no—
126C22×C3×D4—92no—
127C22×C3×D4—91no—
128C23×C3×C4—31no—
129C23×C3×C4—31no—
130C23×C3×C4—61no—
131C22×#67—32no—
132C2×D3×D4—324no—
133C22×D12—32no—
134C22×D12—31no—
135C22×D12—31no—
136C22×D12—324no—
137C22×D12—61no—
138C22×D12C3×D311yescharacteristic, direct product factor
139C22×C4×D3C3×D311yescharacteristic, complemented
140C23×C32—21no—
141C23×C32—21no—
142C23×C32—21no—
143C23×C32—38no—
144C23×C32—36no—
145C23×C32—312no—
146C23×C32—41no—
147C23×C32—68no—
148C23×C32C22×D311yescharacteristic
149C23×C32C22×D311yescharacteristic
150C23×C32C23×C311yescharacteristic
151C22×C3⋊D3—28no—
152C22×C3⋊D3C23×C3112yescomplemented
153C22×C3×D3—28no—
154C22×C3×D3—28no—
155C22×C3×D3—28no—
156C22×C3×D3—26no—
157C22×C3×D3—212no—
158C22×C3×D3—312no—
159C22×C3×D3—312no—
160C22×C3×D3—332no—
161C22×C3×D3—332no—
162C22×C3×D3—48no—
163C22×C3×D3—612no—
164C22×C3×D3—696no—
165C22×C3×D3—68no—
166C22×C3×D3—68no—
167C22×C3×D3—696no—
168C22×C3×D3—128no—
169C22×C3×D3D1218yesdirect product factor
170C22×C3×D3C3×D418yescomplemented
171C22×C3×D3C22×D316yes—
172C22×C3×D3C22×D3112yescomplemented
173C22×C3×D3C23×C316yes—
174C22×C3×D3C23×C3112yescomplemented
175C2×D32—296no—
176C2×D32C23×C3132yescomplemented
177C32×D4—316no—
178C2×C32×C4—26no—
179C2×C32×C4—26no—
180C2×C32×C4—26no—
181C2×C32×C4—36no—
182C2×C32×C4—316no—
183C2×C32×C4—46no—
184C2×C32×C4C22×D316yescomplemented
185C2×C32×C4C22×D316yescomplemented
186C2×C32×C4C23×C316yescomplemented
187C4⋊(C3⋊D3)C23×C3116yescomplemented
188C3×#67—332no—
189C2×C3×Dic3—26no—
190C2×C3×Dic3C22×D316yescomplemented
191C2×C3×Dic3C23×C316yescomplemented
192C3×D12—216no—
193C3×D12—332no—
194C3×D12—316no—
195C3×D12—316no—
196C3×D12—616no—
197C3×D12C22×D3116yesdirect product factor
198C3×D12C23×C3116yescomplemented
199C3×C4×D3—216no—
200C3×C4×D3C22×D3116yescomplemented
201C3×C4×D3C23×C3116yescomplemented
202#626C23×C3132yescomplemented
203C23×D4—91noSylow
204C2×C33C22×D416yescomplemented
205C2×C33C2511yescharacteristic
206C3×C3⋊D3—28no—
207C32×D3—28no—
208C32×D3C22×D418yescomplemented
209C24×C3—31no—
210C24×C3—31no—
211C24×C3—32no—
212C24×C3—32no—
213C24×C3—61no—
214C24×C3—62no—
215C24×C3—924no—
216C24×C3—92no—
217C24×C3—1816no—
218C23×D3—32no—
219C23×D3—32no—
220C23×D3—324no—
221C23×D3—324no—
222C23×D3—62no—
223C23×D3—616no—
224C23×D3—616no—
225C23×D3C2×C3×D311yescharacteristic
226C23×D3C2×C3×D312yescomplemented
227C2×C3×D4—312no—
228C2×C3×D4—312no—
229C2×C3×D4—612no—
230C2×C3×D4—964no—
231C2×C3×D4—924no—
232C2×C3×D4—912no—
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—31no—
237C22×C3×C4—31no—
238C22×C3×C4—312no—
239C22×C3×C4—312no—
240C22×C3×C4—41no—
241C22×C3×C4—612no—
242C22×C3×C4—61no—
243C22×C3×C4D3211yescharacteristic, complemented
244C22×C3×C4C2×C3×D311yescharacteristic, complemented
245C22×C3×C4C2×C3×D311yescharacteristic, complemented
246C2×#67—324no—
247C22×Dic3C2×C3×D311yescharacteristic, complemented
248D3×D4—364no—
249C2×D12—324no—
250C2×D12—312no—
251C2×D12—312no—
252C2×D12—364no—
253C2×D12—612no—
254C2×D12C2×C3×D3112yesdirect product factor
255C2×C4×D3C2×C3×D3112yescomplemented
256C22×C32—23no—
257C22×C32—23no—
258C22×C32—23no—
259C22×C32—24no—
260C22×C32—24no—
261C22×C32—24no—
262C22×C32—324no—
263C22×C32—34no—
264C22×C32—38no—
265C22×C32—44no—
266C22×C32—43no—
267C22×C32—624no—
268C22×C32C2×D1214yescomplemented
269C22×C32D3×D414yescomplemented
270C22×C32C2×C3×D414yescomplemented
271C22×C32C23×D313yes—
272C22×C32C23×D313yes—
273C22×C32C24×C313yes—
274C2×C3⋊D3—224no—
275C2×C3⋊D3C24×C318yescomplemented
276C2×C3×D3—224no—
277C2×C3×D3—224no—
278C2×C3×D3—24no—
279C2×C3×D3—28no—
280C2×C3×D3—224no—
281C2×C3×D3—38no—
282C2×C3×D3—38no—
283C2×C3×D3—424no—
284C2×C3×D3—68no—
285C2×C3×D3—664no—
286C2×C3×D3—624no—
287C2×C3×D3—624no—
288C2×C3×D3—664no—
289C2×C3×D3—1224no—
290C2×C3×D3C2×D12124yesdirect product factor
291C2×C3×D3C2×C3×D4124yescomplemented
292C2×C3×D3C23×D314yes—
293C2×C3×D3C23×D318yescomplemented
294C2×C3×D3C24×C314yes—
295C2×C3×D3C24×C318yescomplemented
296D32—264no—
297C32×C4—24no—
298C32×C4—24no—
299C32×C4—24no—
300C32×C4—34no—
301C32×C4—44no—
302C32×C4C23×D314yescomplemented
303C32×C4C23×D314yescomplemented
304C32×C4C24×C314yescomplemented
305C3×Dic3—24no—
306C3×Dic3C23×D314yescomplemented
307C3×Dic3C24×C314yescomplemented
308C25—92no—
309C22×D4—31no—
310C22×D4—924no—
311C22×D4—92no—
312C22×D4—91no—
313C23×C4—31no—
314C33C23×D411yescharacteristic, complemented, Sylow
315C23×C3—21no—
316C23×C3—21no—
317C23×C3—21no—
318C23×C3—36no—
319C23×C3—36no—
320C23×C3—38no—
321C23×C3—38no—
322C23×C3—312no—
323C23×C3—312no—
324C23×C3—41no—
325C23×C3—66no—
326C23×C3—68no—
327C23×C3—612no—
328C23×C3—68no—
329C23×C3—68no—
330C23×C3—932no—
331C23×C3—912no—
332C23×C3—128no—
333C23×C3—1896no—
334C23×C3—188no—
335C23×C3C2×D3211yescharacteristic
336C23×C3C22×C3×D311yescharacteristic
337C23×C3C22×C3×D311yescharacteristic
338C22×D3—28no—
339C22×D3—312no—
340C22×D3—312no—
341C22×D3—332no—
342C22×D3—332no—
343C22×D3—612no—
344C22×D3—696no—
345C22×D3—68no—
346C22×D3—68no—
347C22×D3—696no—
348C22×D3—128no—
349C22×D3C3×D1218yesdirect product factor
350C22×D3C22×C3×D316yes—
351C22×D3C22×C3×D3112yescomplemented
352C3×D4—316no—
353C3×D4—316no—
354C3×D4—616no—
355C3×D4—932no—
356C3×D4—916no—
357C2×C3×C4—26no—
358C2×C3×C4—26no—
359C2×C3×C4—26no—
360C2×C3×C4—36no—
361C2×C3×C4—36no—
362C2×C3×C4—316no—
363C2×C3×C4—316no—
364C2×C3×C4—46no—
365C2×C3×C4—616no—
366C2×C3×C4—66no—
367C2×C3×C4C2×D3216yescomplemented
368C2×C3×C4C22×C3×D316yescomplemented
369C2×C3×C4C22×C3×D316yescomplemented
370#67—332no—
371C2×Dic3C22×C3×D316yescomplemented
372D12—332no—
373D12—316no—
374D12—316no—
375D12—616no—
376D12C22×C3×D3116yesdirect product factor
377C4×D3C22×C3×D3116yescomplemented
378C2×C32—26no—
379C2×C32—26no—
380C2×C32—26no—
381C2×C32—21no—
382C2×C32—21no—
383C2×C32—21no—
384C2×C32—38no—
385C2×C32—46no—
386C2×C32—41no—
387C2×C32—68no—
388C2×C32C22×D1216yescomplemented
389C2×C32C2×D3×D416yescomplemented
390C2×C32C22×C3×D416yescomplemented
391C2×C32C24×D311yescharacteristic
392C2×C32C24×D311yescharacteristic
393C2×C32C25×C311yescharacteristic
394C3⋊D3—28no—
395C3×D3—28no—
396C3×D3—28no—
397C3×D3—28no—
398C3×D3—48no—
399C3×D3—68no—
400C3×D3—68no—
401C3×D3—128no—
402C3×D3C22×D1218yesdirect product factor
403C3×D3C22×C3×D418yescomplemented
404C24—31no—
405C24—32no—
406C24—924no—
407C24—92no—
408C24—1816no—
409C2×D4—312no—
410C2×D4—964no—
411C2×D4—924no—
412C2×D4—912no—
413C22×C4—31no—
414C22×C4—312no—
415C22×C4C3×D3211yescharacteristic, complemented
416C22×C3—23no—
417C22×C3—23no—
418C22×C3—23no—
419C22×C3—24no—
420C22×C3—24no—
421C22×C3—24no—
422C22×C3—324no—
423C22×C3—324no—
424C22×C3—34no—
425C22×C3—34no—
426C22×C3—38no—
427C22×C3—38no—
428C22×C3—43no—
429C22×C3—44no—
430C22×C3—64no—
431C22×C3—624no—
432C22×C3—68no—
433C22×C3—624no—
434C22×C3—624no—
435C22×C3—98no—
436C22×C3—1224no—
437C22×C3—1864no—
438C22×C3—1824no—
439C22×C3D3×D1214yesdirect product factor
440C22×C3C2×C3×D1214yescomplemented
441C22×C3C3×D3×D414yescomplemented
442C22×C3C22×D3213yes—
443C22×C3C23×C3×D313yes—
444C22×C3C23×C3×D313yes—
445C2×D3—224no—
446C2×D3—38no—
447C2×D3—38no—
448C2×D3—68no—
449C2×D3—664no—
450C2×D3—624no—
451C2×D3—624no—
452C2×D3—664no—
453C2×D3—1224no—
454C2×D3C2×C3×D12124yesdirect product factor
455C2×D3C23×C3×D314yes—
456C2×D3C23×C3×D318yescomplemented
457C3×C4—24no—
458C3×C4—24no—
459C3×C4—24no—
460C3×C4—34no—
461C3×C4—34no—
462C3×C4—44no—
463C3×C4—64no—
464C3×C4C22×D3214yescomplemented
465C3×C4C23×C3×D314yescomplemented
466C3×C4C23×C3×D314yescomplemented
467Dic3C23×C3×D314yescomplemented
468C32—21no—
469C32—21no—
470C32—21no—
471C32—41no—
472C32C23×D1211yescharacteristic, complemented
473C32C22×D3×D411yescharacteristic, complemented
474C32C23×C3×D411yescharacteristic, complemented
475C23—36no—
476C23—38no—
477C23—312no—
478C23—68no—
479C23—932no—
480C23—912no—
481C23—1896no—
482C23—188no—
483C23C2×C3×D3211yescharacteristic
484D4—316no—
485D4—932no—
486D4—916no—
487C2×C4—36no—
488C2×C4—316no—
489C2×C4C2×C3×D3216yescomplemented
490C2×C3—21no—
491C2×C3—21no—
492C2×C3—21no—
493C2×C3—26no—
494C2×C3—26no—
495C2×C3—26no—
496C2×C3—38no—
497C2×C3—38no—
498C2×C3—41no—
499C2×C3—46no—
500C2×C3—68no—
501C2×C3—68no—
502C2×C3—68no—
503C2×C3—128no—
504C2×C3—188no—
505C2×C3C2×D3×D1216yesdirect product factor
506C2×C3C22×C3×D1216yescomplemented
507C2×C3C2×C3×D3×D416yescomplemented
508C2×C3C23×D3211yescharacteristic
509C2×C3C24×C3×D311yescharacteristic
510C2×C3C24×C3×D311yescharacteristic
511D3—28no—
512D3—68no—
513D3—68no—
514D3—128no—
515D3C22×C3×D1218yesdirect product factor
516C22—34no—
517C22—324no—
518C22—38no—
519C22—624no—
520C22—98no—
521C22—1864no—
522C22—1824no—
523C22C3×D3×D1214yesdirect product factor
524C22C22×C3×D3213yes—
525C4—34no—
526C4C22×C3×D3214yescomplemented
527C3—21no—
528C3—21no—
529C3—21no—
530C3—41no—
531C3C22×D3×D1211yescharacteristic, direct product factor
532C3C23×C3×D1211yescharacteristic, complemented
533C3C22×C3×D3×D411yescharacteristic, complemented
534C2—38no—
535C2—68no—
536C2—188no—
537C2C2×C3×D3×D1216yesdirect product factor
538C2C23×C3×D3211yescharacteristic
subgroupG/H
centerC23×C3C2×D32
commutator, cosocleC2×C32C25×C3
FrattiniC2C23×C3×D32
FittingC22×C33×C4C22
socleC23×C33C23
hypercenterC22×C3×C4D32
hypocenterC32C23×C3×D4
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C23×C3×D32C2semidirect
2. C22×C3×C4⋊(C3⋊D3)C2semidirect
3. C22×C32×D12C2semidirect
4. C22×C32×C4×D3C2semidirect
5. C22×C3×#626C2semidirect
6. C2×C3×D3×D12C2direct (N × H)
9. C22×D3×D12C3direct (N × H)
10. C23×C3×C3⋊D3C22semidirect
12. C23×C32×D3C22semidirect
14. C22×C3×D32C22semidirect
15. C22×C33×C4C22semidirect
16. C2×C3×C4⋊(C3⋊D3)C22semidirect
17. C22×C32×Dic3C22semidirect
18. C2×C32×D12C22semidirect
19. C2×C32×C4×D3C22semidirect
20. C2×C3×#626C22semidirect
21. C3×D3×D12C22direct (N × H)
24. C23×D32C2×C3semidirect
27. C22×C4⋊(C3⋊D3)C2×C3semidirect
36. C22×C3×D12D3direct (N × H)
37. C22×C3×D12C2×C3semidirect
39. C22×C3×C4×D3D3semidirect
40. C22×C3×C4×D3C2×C3semidirect
41. C22×#626C2×C3semidirect
42. C2×D3×D12C2×C3direct (N × H)
45. C22×C3×C3⋊D3C23semidirect
47. C22×C32×D3D4semidirect
49. C22×C32×D3C23semidirect
51. C2×C3×D32C23semidirect
52. C2×C33×C4C23semidirect
53. C3×C4⋊(C3⋊D3)C23semidirect
54. C2×C32×Dic3C23semidirect
55. C32×D12C23semidirect
56. C32×C4×D3C23semidirect
57. C3×#626C23semidirect
63. C23×C3⋊D3C22×C3semidirect
74. C23×C3×D3C2×D3semidirect
76. C23×C3×D3C22×C3semidirect
78. C22×D32C22×C3semidirect
86. C22×C32×C4C2×D3semidirect
87. C22×C32×C4C2×D3semidirect
88. C22×C32×C4C22×C3semidirect
89. C2×C4⋊(C3⋊D3)C22×C3semidirect
92. C22×C3×Dic3C2×D3semidirect
93. C22×C3×Dic3C22×C3semidirect
101. C2×C3×D12C2×D3direct (N × H)
102. C2×C3×D12C22×C3semidirect
104. C2×C3×C4×D3C2×D3semidirect
105. C2×C3×C4×D3C22×C3semidirect
106. C2×#626C22×C3semidirect
107. D3×D12C22×C3direct (N × H)
108. C22×C33C2×D4semidirect
111. C2×C3×C3⋊D3C24semidirect
113. C2×C32×D3C2×D4semidirect
115. C2×C32×D3C24semidirect
117. C33×C4C24semidirect
118. C32×Dic3C24semidirect
138. C22×D12C3×D3direct (N × H)
139. C22×C4×D3C3×D3semidirect
152. C22×C3⋊D3C23×C3semidirect
169. C22×C3×D3D12direct (N × H)
170. C22×C3×D3C3×D4semidirect
172. C22×C3×D3C22×D3semidirect
174. C22×C3×D3C23×C3semidirect
176. C2×D32C23×C3semidirect
184. C2×C32×C4C22×D3semidirect
185. C2×C32×C4C22×D3semidirect
186. C2×C32×C4C23×C3semidirect
187. C4⋊(C3⋊D3)C23×C3semidirect
190. C2×C3×Dic3C22×D3semidirect
191. C2×C3×Dic3C23×C3semidirect
197. C3×D12C22×D3direct (N × H)
198. C3×D12C23×C3semidirect
200. C3×C4×D3C22×D3semidirect
201. C3×C4×D3C23×C3semidirect
202. #626C23×C3semidirect
204. C2×C33C22×D4semidirect
208. C32×D3C22×D4semidirect
226. C23×D3C2×C3×D3semidirect
243. C22×C3×C4D32semidirect
244. C22×C3×C4C2×C3×D3semidirect
245. C22×C3×C4C2×C3×D3semidirect
247. C22×Dic3C2×C3×D3semidirect
254. C2×D12C2×C3×D3direct (N × H)
255. C2×C4×D3C2×C3×D3semidirect
268. C22×C32C2×D12semidirect
269. C22×C32D3×D4semidirect
270. C22×C32C2×C3×D4semidirect
275. C2×C3⋊D3C24×C3semidirect
290. C2×C3×D3C2×D12direct (N × H)
291. C2×C3×D3C2×C3×D4semidirect
293. C2×C3×D3C23×D3semidirect
295. C2×C3×D3C24×C3semidirect
302. C32×C4C23×D3semidirect
303. C32×C4C23×D3semidirect
304. C32×C4C24×C3semidirect
306. C3×Dic3C23×D3semidirect
307. C3×Dic3C24×C3semidirect
314. C33C23×D4semidirect
349. C22×D3C3×D12direct (N × H)
351. C22×D3C22×C3×D3semidirect
367. C2×C3×C4C2×D32semidirect
368. C2×C3×C4C22×C3×D3semidirect
369. C2×C3×C4C22×C3×D3semidirect
371. C2×Dic3C22×C3×D3semidirect
376. D12C22×C3×D3direct (N × H)
377. C4×D3C22×C3×D3semidirect
388. C2×C32C22×D12semidirect
389. C2×C32C2×D3×D4semidirect
390. C2×C32C22×C3×D4semidirect
402. C3×D3C22×D12direct (N × H)
403. C3×D3C22×C3×D4semidirect
415. C22×C4C3×D32semidirect
439. C22×C3D3×D12direct (N × H)
440. C22×C3C2×C3×D12semidirect
441. C22×C3C3×D3×D4semidirect
454. C2×D3C2×C3×D12direct (N × H)
456. C2×D3C23×C3×D3semidirect
464. C3×C4C22×D32semidirect
465. C3×C4C23×C3×D3semidirect
466. C3×C4C23×C3×D3semidirect
467. Dic3C23×C3×D3semidirect
472. C32C23×D12semidirect
473. C32C22×D3×D4semidirect
474. C32C23×C3×D4semidirect
489. C2×C4C2×C3×D32semidirect
505. C2×C3C2×D3×D12direct (N × H)
506. C2×C3C22×C3×D12semidirect
507. C2×C3C2×C3×D3×D4semidirect
515. D3C22×C3×D12direct (N × H)
523. C22C3×D3×D12direct (N × H)
526. C4C22×C3×D32semidirect
531. C3C22×D3×D12direct (N × H)
532. C3C23×C3×D12semidirect
533. C3C22×C3×D3×D4semidirect
537. C2C2×C3×D3×D12direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C3×D322
C22×C3×C4⋊(C3⋊D3)2
C22×C32×D122
C22×C32×C4×D32
C22×C3×#6262
C2×C3×D3×D122
C22×C3×D3×D43
C23×C3×D123
C22×D3×D123