Finite Group Databasebeta

← C2×#11724581 #13181606

Subgroups — C2×#11724581 #13181606

Order 1728.

6332 conjugacy classes of subgroups.

The subgroup lattice has 548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊(C3⋊(C3⋊D3))C211yesmaximal, characteristic, complemented
2C2×C3×#3828C211yesmaximal, characteristic, complemented
3C2×C32×#235C211yesmaximal, characteristic, complemented
4C2×#89039C214yesmaximal, complemented
5#11724581C2116yesmaximal, direct product factor
6C2×C3⋊D3×D12C212yesmaximal, complemented
7C2×D3×C4⋊(C3⋊D3)C212yesmaximal, complemented
8C2×#89022C212yesmaximal, complemented
9C2×#89018C212yesmaximal, complemented
10C2×#64366—31nomaximal
11C2×#64308—34nomaximal
12C23×C3⋊(C3⋊D3)C2212yescomplemented
13C22×D3×C3⋊D3C2214yescomplemented
14C22×C33×C4C2211yescharacteristic, complemented
15C2×C4⋊(C3⋊(C3⋊D3))C2212yescomplemented
16C2×C4⋊(C3⋊(C3⋊D3))C2212yescomplemented
17C2×C4⋊(C3⋊(C3⋊D3))C2218yescomplemented
18C2×C3×#638C2212yescomplemented
19C3×#3828C2218yescomplemented
20C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
21C2×C3×C4×C3⋊D3C2212yescomplemented
22C2×C3×#634C2211yescharacteristic, complemented
23C2×C32×#67C2212yescomplemented
24C32×#235C2218yescomplemented
25C2×C32×D12C2211yescharacteristic, complemented
26C2×C32×C4×D3C2212yescomplemented
27C2×C32×Dic6C2211yescharacteristic, complemented
28#89039C22132yescomplemented
29C2×#6292C2214yescomplemented
30C2×#6291C2214yescomplemented
31C2×#6289C2214yescomplemented
32C3⋊D3×D12C22116yescomplemented
33D3×C4⋊(C3⋊D3)C22116yescomplemented
34#89022C22116yescomplemented
35#89018C22116yescomplemented
36C2×C32×#41—31no—
37#64366—316no—
38C2×#3832—32no—
39C2×D4×C3⋊D3—34no—
40C2×D4×C3⋊D3—32no—
41C2×#3828—32no—
42C2×#3828D311yescharacteristic, complemented
43C22×C4⋊(C3⋊D3)—31no—
44C22×C4⋊(C3⋊D3)—32no—
45C22×C4⋊(C3⋊D3)—34no—
46C22×C4⋊(C3⋊D3)—64no—
47C2×C3×#235—34no—
48C2×C3×#235D314yescomplemented
49C2×#3811—316no—
50#64308—364no—
51C2×D3×D12—38no—
52C2×D3×D12—38no—
53C2×#3799—38no—
54C2×#3799—38no—
55C23×C33C2311yescharacteristic
56C22×C3⋊(C3⋊D3)—44no—
57C22×C3⋊(C3⋊D3)C2314yes—
58C22×C3⋊(C3⋊D3)C2318yescomplemented
59C22×C3×C3⋊D3C2312yes—
60C22×C32×D3C2312yes—
61C2×D3×C3⋊D3—48no—
62C2×D3×C3⋊D3C23116yescomplemented
63C2×C33×C4C2311yescharacteristic
64C2×C33×C4C2311yescharacteristic
65C2×C33×C4C2314yescomplemented
66C4⋊(C3⋊(C3⋊D3))C2318yescomplemented
67C4⋊(C3⋊(C3⋊D3))C2318yescomplemented
68C3×#638C2318yescomplemented
69C2×C3×C3⋊Dic3C2312yes—
70C3×C4⋊(C3⋊D3)C2314yescomplemented
71C3×C4×C3⋊D3C2318yescomplemented
72C3×#634C2314yescomplemented
73C32×#67C2318yescomplemented
74C2×C32×Dic3C2312yes—
75C32×D12C2314yescomplemented
76C32×C4×D3C2318yescomplemented
77C32×Dic6C2314yescomplemented
78#6292C23116yescomplemented
79#6291C23116yescomplemented
80#6289C23116yescomplemented
81C2×#1009—94no—
82C2×#1009—91no—
83C23×C3⋊D3—32no—
84C23×C3⋊D3—38no—
85C23×C3⋊D3—34no—
86C23×C3⋊D3—68no—
87C22×D32—316no—
88C32×#41—38no—
89C2×C32×Q8—31no—
90C2×C32×D4—32no—
91C2×C32×D4—31no—
92C22×C32×C4—24no—
93C22×C32×C4—32no—
94C22×C32×C4C2×D314yescomplemented
95C22×C32×C4C2×D311yescharacteristic, complemented
96C2×#638—34no—
97C2×#638C2×D312yescomplemented
98#3832—316no—
99D4×C3⋊D3—332no—
100D4×C3⋊D3—316no—
101#3828—316no—
102#3828C2×D318yescomplemented
103C2×C4⋊(C3⋊D3)—34no—
104C2×C4⋊(C3⋊D3)—32no—
105C2×C4⋊(C3⋊D3)—32no—
106C2×C4⋊(C3⋊D3)—38no—
107C2×C4⋊(C3⋊D3)—38no—
108C2×C4⋊(C3⋊D3)—38no—
109C2×C4⋊(C3⋊D3)—332no—
110C2×C4⋊(C3⋊D3)—316no—
111C2×C4⋊(C3⋊D3)—68no—
112C2×C4⋊(C3⋊D3)—68no—
113C2×C4⋊(C3⋊D3)—632no—
114C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
115C2×C4×C3⋊D3—34no—
116C2×C4×C3⋊D3C2×D312yescomplemented
117C2×#634C2×D311yescharacteristic, complemented
118C2×C3×#67—38no—
119C2×C3×#67C2×D318yescomplemented
120C3×#235—332no—
121C3×#235C2×D3132yescomplemented
122C2×C3×D12—34no—
123C2×C3×D12C2×D314yescomplemented
124C2×C3×C4×D3—38no—
125C2×C3×C4×D3C2×D318yescomplemented
126C2×C3×Dic6—34no—
127C2×C3×Dic6C2×D314yescomplemented
128#3811—3128no—
129C2×#626—316no—
130C2×#626—316no—
131C2×#624—316no—
132D3×D12—364no—
133D3×D12—364no—
134#3799—364no—
135#3799—364no—
136C22×C33—22no—
137C22×C33C2412yes—
138C22×C33C2411yescharacteristic
139C2×C3⋊(C3⋊D3)—28no—
140C2×C3⋊(C3⋊D3)—48no—
141C2×C3⋊(C3⋊D3)C2418yes—
142C2×C3×C3⋊D3—24no—
143C2×C3×C3⋊D3C2414yes—
144C2×C32×D3—24no—
145C2×C32×D3C2414yes—
146D3×C3⋊D3—416no—
147C33×C4C2412yes—
148C33×C4C2412yes—
149C3×C3⋊Dic3C2414yes—
150C32×Dic3C2414yes—
151C2×C3×#41—34no—
152C2×C3×#41—91no—
153#1009—964no—
154#1009—916no—
155C2×#239—98no—
156C2×#239—92no—
157C2×D3×D4—98no—
158C2×D3×D4—916no—
159C2×D3×D4—94no—
160C2×D3×D4—92no—
161C2×#235—34no—
162C2×#235—98no—
163C2×#235—92no—
164C2×#235C3⋊D311yescharacteristic, complemented
165C22×D12—98no—
166C22×D12—94no—
167C22×D12—91no—
168C22×D12—92no—
169C22×D12—184no—
170C23×C32—24no—
171C23×C32—32no—
172C23×C32C22×D314yes—
173C23×C32C22×D311yescharacteristic
174C22×C3⋊D3—34no—
175C22×C3⋊D3—38no—
176C22×C3⋊D3—316no—
177C22×C3⋊D3—316no—
178C22×C3⋊D3—332no—
179C22×C3⋊D3—616no—
180C22×C3⋊D3—632no—
181C22×C3⋊D3—128no—
182C22×C3⋊D3—124no—
183C22×C3⋊D3—1216no—
184C22×C3⋊D3—1232no—
185C22×C3⋊D3C22×D312yes—
186C22×C3×D3—38no—
187C22×C3×D3C22×D318yes—
188C2×D32—364no—
189C2×D32—1232no—
190C32×Q8—34no—
191C32×D4—38no—
192C32×D4—34no—
193C2×C32×C4—24no—
194C2×C32×C4—24no—
195C2×C32×C4—216no—
196C2×C32×C4—32no—
197C2×C32×C4—38no—
198C2×C32×C4C22×D314yes—
199C2×C32×C4C22×D314yes—
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C22×D311yescharacteristic
202C2×C32×C4C22×D3116yescomplemented
203C2×C32×C4C22×D314yescomplemented
204#638—316no—
205#638C22×D318yescomplemented
206C2×C3⋊Dic3C22×D312yes—
207C4⋊(C3⋊D3)—316no—
208C4⋊(C3⋊D3)—38no—
209C4⋊(C3⋊D3)—38no—
210C4⋊(C3⋊D3)—332no—
211C4⋊(C3⋊D3)—332no—
212C4⋊(C3⋊D3)—632no—
213C4⋊(C3⋊D3)—632no—
214C4⋊(C3⋊D3)C22×D314yescomplemented
215C4×C3⋊D3—316no—
216C4×C3⋊D3C22×D318yescomplemented
217#634C22×D314yescomplemented
218C3×#67—332no—
219C3×#67C22×D3132yescomplemented
220C2×C3×Dic3—38no—
221C2×C3×Dic3C22×D318yes—
222C3×D12—316no—
223C3×D12C22×D3116yescomplemented
224C3×C4×D3—332no—
225C3×C4×D3C22×D3132yescomplemented
226C3×Dic6—316no—
227C3×Dic6C22×D3116yescomplemented
228#626—364no—
229#626—364no—
230#624—364no—
231C2×H(5,𝔽2)—271noSylow
232C2×C33—22no—
233C2×C33H(5,𝔽2)12yescomplemented
234C2×C33C2511yescharacteristic
235C3⋊(C3⋊D3)—28no—
236C3×C3⋊D3—24no—
237C32×D3—24no—
238C23×D3—916no—
239C23×D3—98no—
240C23×D3—92no—
241C23×D3—94no—
242C23×D3—188no—
243C3×#41—332no—
244C3×#41—98no—
245C2×C3×Q8—34no—
246C2×C3×Q8—91no—
247C2×C3×D4—38no—
248C2×C3×D4—34no—
249C2×C3×D4—92no—
250C2×C3×D4—91no—
251C22×C3×C4—24no—
252C22×C3×C4—38no—
253C22×C3×C4—92no—
254C22×C3×C4D3214yescomplemented
255C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
256C2×#67—38no—
257C2×#67—916no—
258C2×#67—94no—
259C2×#67C2×C3⋊D312yescomplemented
260#239—964no—
261#239—916no—
262D3×D4—964no—
263D3×D4—9128no—
264D3×D4—932no—
265D3×D4—916no—
266#235—332no—
267#235—964no—
268#235—916no—
269#235C2×C3⋊D318yescomplemented
270C2×D12—34no—
271C2×D12—964no—
272C2×D12—916no—
273C2×D12—94no—
274C2×D12—98no—
275C2×D12—98no—
276C2×D12—932no—
277C2×D12—92no—
278C2×D12—92no—
279C2×D12—98no—
280C2×D12—916no—
281C2×D12—188no—
282C2×D12—188no—
283C2×D12—1832no—
284C2×D12C2×C3⋊D311yescharacteristic, complemented
285C2×C4×D3—38no—
286C2×C4×D3—916no—
287C2×C4×D3—94no—
288C2×C4×D3C2×C3⋊D312yescomplemented
289C2×Dic6—34no—
290C2×Dic6C2×C3⋊D311yescharacteristic, complemented
291C22×C32—216no—
292C22×C32—28no—
293C22×C32—22no—
294C22×C32—28no—
295C22×C32—24no—
296C22×C32—34no—
297C22×C32—64no—
298C22×C32C23×D318yes—
299C22×C32C23×D314yes—
300C22×C32C23×D312yes—
301C22×C32C23×D311yescharacteristic
302C2×C3⋊D3—24no—
303C2×C3⋊D3—38no—
304C2×C3⋊D3—332no—
305C2×C3⋊D3—632no—
306C2×C3⋊D3—68no—
307C2×C3⋊D3—632no—
308C2×C3⋊D3—1232no—
309C2×C3⋊D3—1216no—
310C2×C3⋊D3—128no—
311C2×C3⋊D3—1232no—
312C2×C3⋊D3—1264no—
313C2×C3⋊D3C23×D314yes—
314C2×C3×D3—216no—
315C2×C3×D3—316no—
316C2×C3×D3—616no—
317C2×C3×D3C23×D3116yes—
318D32—1264no—
319C32×C4—28no—
320C32×C4—28no—
321C32×C4—34no—
322C32×C4C23×D318yes—
323C32×C4C23×D318yes—
324C32×C4C23×D312yes—
325C32×C4C23×D312yes—
326C3⋊Dic3C23×D314yes—
327C3×Dic3—316no—
328C3×Dic3C23×D3116yes—
329H(5,𝔽2)—2716no—
330C2×#41—31no—
331C2×#41—91no—
332C2×#41—272no—
333C2×#41—272no—
334C22×D4—272no—
335C22×D4—272no—
336C22×D4—274no—
337C22×D4—271no—
338C33C2×H(5,𝔽2)11yescharacteristic, complemented, Sylow
339C23×C3—24no—
340C23×C3—38no—
341C23×C3—92no—
342C23×C3C2×D3214yes—
343C23×C3C22×C3⋊D311yescharacteristic
344C22×D3—38no—
345C22×D3—964no—
346C22×D3—916no—
347C22×D3—94no—
348C22×D3—932no—
349C22×D3—98no—
350C22×D3—916no—
351C22×D3—1816no—
352C22×D3—1832no—
353C22×D3—368no—
354C22×D3—3632no—
355C22×D3—3616no—
356C22×D3—364no—
357C22×D3—3632no—
358C22×D3C22×C3⋊D312yes—
359C3×Q8—316no—
360C3×Q8—94no—
361C3×D4—332no—
362C3×D4—316no—
363C3×D4—98no—
364C3×D4—94no—
365C2×C3×C4—24no—
366C2×C3×C4—24no—
367C2×C3×C4—216no—
368C2×C3×C4—38no—
369C2×C3×C4—332no—
370C2×C3×C4—92no—
371C2×C3×C4—98no—
372C2×C3×C4C2×D3214yes—
373C2×C3×C4C2×D3214yes—
374C2×C3×C4C2×D32116yescomplemented
375C2×C3×C4C22×C3⋊D311yescharacteristic
376C2×C3×C4C22×C3⋊D311yescharacteristic
377C2×C3×C4C22×C3⋊D314yescomplemented
378#67—332no—
379#67—964no—
380#67—916no—
381#67C22×C3⋊D318yescomplemented
382C2×Dic3—38no—
383C2×Dic3C22×C3⋊D312yes—
384D12—316no—
385D12—964no—
386D12—916no—
387D12—932no—
388D12—932no—
389D12—98no—
390D12—98no—
391D12—1832no—
392D12—1832no—
393D12C22×C3⋊D314yescomplemented
394C4×D3—332no—
395C4×D3—964no—
396C4×D3—916no—
397C4×D3C22×C3⋊D318yescomplemented
398Dic6—316no—
399Dic6C22×C3⋊D314yescomplemented
400C2×C32—216no—
401C2×C32—28no—
402C2×C32—22no—
403C2×C32—28no—
404C2×C32—24no—
405C2×C32—64no—
406C2×C32#100918yescomplemented
407C2×C32#100912yescomplemented
408C2×C32C24×D314yes—
409C2×C32C24×D311yescharacteristic
410C3⋊D3—24no—
411C3⋊D3—68no—
412C3⋊D3—632no—
413C3⋊D3—1232no—
414C3×D3—216no—
415C3×D3—616no—
416C24—274no—
417C24—272no—
418#41—38no—
419#41—98no—
420#41—2716no—
421#41—2716no—
422C2×Q8—31no—
423C2×Q8—91no—
424C2×D4—32no—
425C2×D4—31no—
426C2×D4—92no—
427C2×D4—91no—
428C2×D4—2716no—
429C2×D4—274no—
430C2×D4—2716no—
431C2×D4—274no—
432C2×D4—2732no—
433C2×D4—272no—
434C2×D4—272no—
435C2×D4—278no—
436C22×C4—32no—
437C22×C4—92no—
438C22×C4—274no—
439C22×C4D3×C3⋊D311yescharacteristic, complemented
440C22×C3—216no—
441C22×C3—28no—
442C22×C3—22no—
443C22×C3—28no—
444C22×C3—24no—
445C22×C3—316no—
446C22×C3—616no—
447C22×C3—94no—
448C22×C3—184no—
449C22×C3C22×D3218yes—
450C22×C3C22×D3214yes—
451C22×C3C23×C3⋊D312yes—
452C22×C3C23×C3⋊D311yescharacteristic
453C2×D3—24no—
454C2×D3—316no—
455C2×D3—616no—
456C2×D3—932no—
457C2×D3—98no—
458C2×D3—1832no—
459C2×D3—1832no—
460C2×D3—188no—
461C2×D3—3632no—
462C2×D3—3616no—
463C2×D3—3664no—
464C2×D3—3632no—
465C2×D3—368no—
466C2×D3—3664no—
467C2×D3C23×C3⋊D314yes—
468C3×C4—28no—
469C3×C4—28no—
470C3×C4—316no—
471C3×C4—94no—
472C3×C4C22×D3218yes—
473C3×C4C22×D3218yes—
474C3×C4C23×C3⋊D312yes—
475C3×C4C23×C3⋊D312yes—
476Dic3—316no—
477Dic3C23×C3⋊D314yes—
478C32—24no—
479C32C2×#100914yescomplemented
480C32C2×#100911yescharacteristic, complemented
481C23—32no—
482C23—92no—
483C23—2716no—
484C23—274no—
485C23—278no—
486C23—1084no—
487C23—1088no—
488C23C2×D3×C3⋊D311yescharacteristic
489Q8—34no—
490Q8—94no—
491D4—38no—
492D4—34no—
493D4—98no—
494D4—94no—
495D4—2716no—
496D4—2716no—
497D4—278no—
498D4—278no—
499C2×C4—32no—
500C2×C4—38no—
501C2×C4—92no—
502C2×C4—98no—
503C2×C4—2716no—
504C2×C4C2×D3×C3⋊D311yescharacteristic
505C2×C4C2×D3×C3⋊D311yescharacteristic
506C2×C4C2×D3×C3⋊D314yescomplemented
507C2×C3—216no—
508C2×C3—28no—
509C2×C3—22no—
510C2×C3—28no—
511C2×C3—24no—
512C2×C3—616no—
513C2×C3—184no—
514C2×C3#6430818yescomplemented
515C2×C3#6436612yescomplemented
516C2×C3C23×D3214yes—
517C2×C3C24×C3⋊D311yescharacteristic
518D3—24no—
519D3—616no—
520D3—1832no—
521D3—188no—
522D3—3632no—
523C22—22no—
524C22—34no—
525C22—64no—
526C22—94no—
527C22—184no—
528C22—278no—
529C22—548no—
530C22—1088no—
531C22—10816no—
532C22C22×D3×C3⋊D312yes—
533C22C22×D3×C3⋊D311yescharacteristic
534C4—34no—
535C4—94no—
536C4C22×D3×C3⋊D312yes—
537C4C22×D3×C3⋊D312yes—
538C3—24no—
539C3C2×#6430814yescomplemented
540C3C2×#6436611yescharacteristic, complemented
541C2—22no—
542C2—64no—
543C2—184no—
544C2—548no—
545C2#1172458112yesdirect product factor
546C2C23×D3×C3⋊D311yescharacteristic
subgroupG/H
centerC22C22×D3×C3⋊D3
commutator, cosocleC2×C33C25
FrattiniC2C23×D3×C3⋊D3
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C4D3×C3⋊D3
hypocenterC33C2×H(5,𝔽2)
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4⋊(C3⋊(C3⋊D3))C2semidirect
2. C2×C3×#3828C2semidirect
3. C2×C32×#235C2semidirect
4. C2×#89039C2semidirect
5. #11724581C2direct (N × H)
6. C2×C3⋊D3×D12C2semidirect
7. C2×D3×C4⋊(C3⋊D3)C2semidirect
8. C2×#89022C2semidirect
9. C2×#89018C2semidirect
12. C23×C3⋊(C3⋊D3)C22semidirect
13. C22×D3×C3⋊D3C22semidirect
14. C22×C33×C4C22semidirect
15. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
16. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
17. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
18. C2×C3×#638C22semidirect
19. C3×#3828C22semidirect
20. C2×C3×C4⋊(C3⋊D3)C22semidirect
21. C2×C3×C4×C3⋊D3C22semidirect
22. C2×C3×#634C22semidirect
23. C2×C32×#67C22semidirect
24. C32×#235C22semidirect
25. C2×C32×D12C22semidirect
26. C2×C32×C4×D3C22semidirect
27. C2×C32×Dic6C22semidirect
28. #89039C22semidirect
29. C2×#6292C22semidirect
30. C2×#6291C22semidirect
31. C2×#6289C22semidirect
32. C3⋊D3×D12C22semidirect
33. D3×C4⋊(C3⋊D3)C22semidirect
34. #89022C22semidirect
35. #89018C22semidirect
42. C2×#3828D3semidirect
48. C2×C3×#235D3semidirect
58. C22×C3⋊(C3⋊D3)C23semidirect
62. C2×D3×C3⋊D3C23semidirect
65. C2×C33×C4C23semidirect
66. C4⋊(C3⋊(C3⋊D3))C23semidirect
67. C4⋊(C3⋊(C3⋊D3))C23semidirect
68. C3×#638C23semidirect
70. C3×C4⋊(C3⋊D3)C23semidirect
71. C3×C4×C3⋊D3C23semidirect
72. C3×#634C23semidirect
73. C32×#67C23semidirect
75. C32×D12C23semidirect
76. C32×C4×D3C23semidirect
77. C32×Dic6C23semidirect
78. #6292C23semidirect
79. #6291C23semidirect
80. #6289C23semidirect
94. C22×C32×C4C2×D3semidirect
95. C22×C32×C4C2×D3semidirect
97. C2×#638C2×D3semidirect
102. #3828C2×D3semidirect
114. C2×C4⋊(C3⋊D3)C2×D3semidirect
116. C2×C4×C3⋊D3C2×D3semidirect
117. C2×#634C2×D3semidirect
119. C2×C3×#67C2×D3semidirect
121. C3×#235C2×D3semidirect
123. C2×C3×D12C2×D3semidirect
125. C2×C3×C4×D3C2×D3semidirect
127. C2×C3×Dic6C2×D3semidirect
164. C2×#235C3⋊D3semidirect
202. C2×C32×C4C22×D3semidirect
203. C2×C32×C4C22×D3semidirect
205. #638C22×D3semidirect
214. C4⋊(C3⋊D3)C22×D3semidirect
216. C4×C3⋊D3C22×D3semidirect
217. #634C22×D3semidirect
219. C3×#67C22×D3semidirect
223. C3×D12C22×D3semidirect
225. C3×C4×D3C22×D3semidirect
227. C3×Dic6C22×D3semidirect
233. C2×C33H(5,𝔽2)semidirect
254. C22×C3×C4D32semidirect
255. C22×C3×C4C2×C3⋊D3semidirect
259. C2×#67C2×C3⋊D3semidirect
269. #235C2×C3⋊D3semidirect
284. C2×D12C2×C3⋊D3semidirect
288. C2×C4×D3C2×C3⋊D3semidirect
290. C2×Dic6C2×C3⋊D3semidirect
338. C33C2×H(5,𝔽2)semidirect
374. C2×C3×C4C2×D32semidirect
377. C2×C3×C4C22×C3⋊D3semidirect
381. #67C22×C3⋊D3semidirect
393. D12C22×C3⋊D3semidirect
397. C4×D3C22×C3⋊D3semidirect
399. Dic6C22×C3⋊D3semidirect
406. C2×C32#1009semidirect
407. C2×C32#1009semidirect
439. C22×C4D3×C3⋊D3semidirect
479. C32C2×#1009semidirect
480. C32C2×#1009semidirect
506. C2×C4C2×D3×C3⋊D3semidirect
514. C2×C3#64308semidirect
515. C2×C3#64366semidirect
539. C3C2×#64308semidirect
540. C3C2×#64366semidirect
545. C2#11724581direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4⋊(C3⋊(C3⋊D3))2
C2×C3×#38282
C2×C32×#2352
C2×#890392
#117245812
C2×C3⋊D3×D122
C2×D3×C4⋊(C3⋊D3)2
C2×#890222
C2×#890182
C2×#643663
C2×#643083