Finite Group Databasebeta

← C2×#11724580 #13181604

Subgroups — C2×#11724580 #13181604

Order 1728.

6044 conjugacy classes of subgroups.

The subgroup lattice has 552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89076C211yesmaximal, characteristic, complemented
2C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C2×C32×#235C211yesmaximal, characteristic, complemented
4C2×C3⋊D3×#67C214yesmaximal, complemented
5#11724580C2116yesmaximal, direct product factor
6C2×#89026C212yesmaximal, complemented
7C2×D3×C4⋊(C3⋊D3)C212yesmaximal, complemented
8C2×#89021C212yesmaximal, complemented
9C2×#89017C212yesmaximal, complemented
10C2×#64366—31nomaximal
11C2×#64307—34nomaximal
12C23×C3×C3⋊D3C2212yescomplemented
13C22×D3×C3⋊D3C2214yescomplemented
14C22×C33×C4C2211yescharacteristic, complemented
15C2×#6312C2212yescomplemented
16#89076C2218yescomplemented
17C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic, complemented
18C2×C4×C3⋊(C3⋊D3)C2212yescomplemented
19C2×#6308C2211yescharacteristic, complemented
20C2×C3×C4⋊(C3⋊D3)C2212yescomplemented
21C2×C3×C4⋊(C3⋊D3)C2212yescomplemented
22C2×C3×C4⋊(C3⋊D3)C2218yescomplemented
23C2×C32×#67C2212yescomplemented
24C32×#235C2218yescomplemented
25C2×C32×D12C2211yescharacteristic, complemented
26C2×C32×C4×D3C2212yescomplemented
27C2×C32×Dic6C2211yescharacteristic, complemented
28C3⋊D3×#67C22132yescomplemented
29C2×#6292C2214yescomplemented
30C2×#6290C2214yescomplemented
31C2×Dic3×C3⋊D3C2214yescomplemented
32#89026C22116yescomplemented
33D3×C4⋊(C3⋊D3)C22116yescomplemented
34#89021C22116yescomplemented
35#89017C22116yescomplemented
36C2×C32×#41—31no—
37#64366—316no—
38C2×#3832—32no—
39C2×D4×C3⋊D3—32no—
40C2×D4×C3⋊D3—34no—
41C2×#3828—31no—
42C2×#3828—32no—
43C2×#3828—34no—
44C2×#3828—64no—
45C22×C4⋊(C3⋊D3)—32no—
46C22×C4⋊(C3⋊D3)D311yescharacteristic, complemented
47C2×C3×#235D314yescomplemented
48C22×C3×D12—34no—
49C2×D3×#67—316no—
50#64307—364no—
51C2×#3802—38no—
52C2×D3×D12—38no—
53C2×#3796—38no—
54C2×#3795—38no—
55C23×C33C2311yescharacteristic
56C22×C3⋊(C3⋊D3)C2312yes—
57C22×C3×C3⋊D3—44no—
58C22×C3×C3⋊D3C2314yes—
59C22×C3×C3⋊D3C2318yescomplemented
60C22×C32×D3C2312yes—
61C2×D3×C3⋊D3—48no—
62C2×D3×C3⋊D3C23116yescomplemented
63C2×C33×C4C2311yescharacteristic
64C2×C33×C4C2311yescharacteristic
65C2×C33×C4C2314yescomplemented
66#6312C2318yescomplemented
67C2×C3⋊(C3⋊Dic3)C2312yes—
68C4⋊(C3⋊(C3⋊D3))C2314yescomplemented
69C4×C3⋊(C3⋊D3)C2318yescomplemented
70#6308C2314yescomplemented
71C3×C4⋊(C3⋊D3)C2318yescomplemented
72C3×C4⋊(C3⋊D3)C2318yescomplemented
73C32×#67C2318yescomplemented
74C2×C32×Dic3C2312yes—
75C32×D12C2314yescomplemented
76C32×C4×D3C2318yescomplemented
77C32×Dic6C2314yescomplemented
78#6292C23116yescomplemented
79#6290C23116yescomplemented
80Dic3×C3⋊D3C23116yescomplemented
81C2×#1009—94no—
82C2×#1004—91no—
83C23×C3⋊D3—34no—
84C23×C3⋊D3C2×D312yescomplemented
85C23×C3×D3—38no—
86C22×D32—316no—
87C32×#41—38no—
88C2×C32×Q8—31no—
89C2×C32×D4—32no—
90C2×C32×D4—31no—
91C22×C32×C4—24no—
92C22×C32×C4—32no—
93C22×C32×C4C2×D314yescomplemented
94C22×C32×C4C2×D311yescharacteristic, complemented
95C2×#638—32no—
96C2×#638—38no—
97C2×#638—34no—
98C2×#638—68no—
99#3832—316no—
100D4×C3⋊D3—332no—
101D4×C3⋊D3—316no—
102#3828—38no—
103#3828—332no—
104#3828—316no—
105#3828—632no—
106C2×C4⋊(C3⋊D3)—34no—
107C2×C4⋊(C3⋊D3)—31no—
108C2×C4⋊(C3⋊D3)—34no—
109C2×C4⋊(C3⋊D3)—316no—
110C2×C4⋊(C3⋊D3)—64no—
111C2×C4⋊(C3⋊D3)C2×D312yescomplemented
112C2×C4⋊(C3⋊D3)C2×D312yescomplemented
113C2×C4⋊(C3⋊D3)C2×D318yescomplemented
114C2×C4×C3⋊D3—34no—
115C2×C4×C3⋊D3—32no—
116C2×C4×C3⋊D3—38no—
117C2×C4×C3⋊D3—68no—
118C2×#634—31no—
119C2×#634—34no—
120C2×#634—64no—
121C2×C3×#67C2×D318yescomplemented
122C3×#235C2×D3132yescomplemented
123C2×C3×D12—38no—
124C2×C3×D12—38no—
125C2×C3×D12—332no—
126C2×C3×D12C2×D314yescomplemented
127C2×C3×C4×D3C2×D318yescomplemented
128C2×C3×Dic6C2×D314yescomplemented
129D3×#67—3128no—
130C2×#626—316no—
131C2×#625—316no—
132C2×D3×Dic3—316no—
133#3802—364no—
134D3×D12—364no—
135#3796—364no—
136#3795—364no—
137C22×C33—22no—
138C22×C33C2412yes—
139C22×C33C2411yescharacteristic
140C2×C3⋊(C3⋊D3)—24no—
141C2×C3⋊(C3⋊D3)C2414yes—
142C2×C3×C3⋊D3—28no—
143C2×C3×C3⋊D3—48no—
144C2×C3×C3⋊D3C2418yes—
145C2×C32×D3—24no—
146C2×C32×D3C2414yes—
147D3×C3⋊D3—416no—
148C33×C4C2412yes—
149C33×C4C2412yes—
150C3⋊(C3⋊Dic3)C2414yes—
151C32×Dic3C2414yes—
152C2×C3×#41—34no—
153C22×C3×D4—91no—
154C22×#67—94no—
155#1009—964no—
156C2×#239—98no—
157#1004—916no—
158C2×#237—92no—
159C2×#237—92no—
160C2×D3×D4—98no—
161C2×D3×D4—916no—
162C2×D3×D4—92no—
163C2×D3×D4—92no—
164C2×#235—98no—
165C2×#235—94no—
166C2×#235—91no—
167C2×#235—184no—
168C2×#235C3⋊D311yescharacteristic, complemented
169C22×D12—34no—
170C22×D12—98no—
171C23×C32—24no—
172C23×C32—32no—
173C23×C32C22×D314yes—
174C23×C32C22×D311yescharacteristic
175C22×C3⋊D3—32no—
176C22×C3⋊D3—316no—
177C22×C3⋊D3—38no—
178C22×C3⋊D3—44no—
179C22×C3⋊D3—68no—
180C22×C3⋊D3—128no—
181C22×C3⋊D3C22×D314yes—
182C22×C3⋊D3C22×D318yescomplemented
183C22×C3×D3—316no—
184C22×C3×D3—332no—
185C22×C3×D3—1216no—
186C22×C3×D3C22×D318yes—
187C2×D32—364no—
188C2×D32—1232no—
189C32×Q8—34no—
190C32×D4—38no—
191C32×D4—34no—
192C2×C32×C4—24no—
193C2×C32×C4—24no—
194C2×C32×C4—216no—
195C2×C32×C4—32no—
196C2×C32×C4—38no—
197C2×C32×C4C22×D314yes—
198C2×C32×C4C22×D314yes—
199C2×C32×C4C22×D311yescharacteristic
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C22×D3116yescomplemented
202C2×C32×C4C22×D314yescomplemented
203#638—38no—
204#638—316no—
205#638—332no—
206#638—632no—
207C2×C3⋊Dic3—32no—
208C2×C3⋊Dic3—38no—
209C2×C3⋊Dic3—68no—
210C4⋊(C3⋊D3)—316no—
211C4⋊(C3⋊D3)—34no—
212C4⋊(C3⋊D3)—316no—
213C4⋊(C3⋊D3)—616no—
214C4⋊(C3⋊D3)C22×D318yescomplemented
215C4⋊(C3⋊D3)C22×D318yescomplemented
216C4×C3⋊D3—316no—
217C4×C3⋊D3—38no—
218C4×C3⋊D3—332no—
219C4×C3⋊D3—632no—
220#634—34no—
221#634—316no—
222#634—616no—
223C3×#67C22×D3132yescomplemented
224C2×C3×Dic3C22×D318yes—
225C3×D12—332no—
226C3×D12—332no—
227C3×D12C22×D3116yescomplemented
228C3×C4×D3C22×D3132yescomplemented
229C3×Dic6C22×D3116yescomplemented
230#626—364no—
231#625—364no—
232D3×Dic3—364no—
233C2×H(5,𝔽2)—271noSylow
234C2×C33—22no—
235C2×C33H(5,𝔽2)12yescomplemented
236C2×C33C2511yescharacteristic
237C3⋊(C3⋊D3)—24no—
238C3×C3⋊D3—28no—
239C32×D3—24no—
240C24×C3—92no—
241C23×D3—38no—
242C23×D3—916no—
243C23×D3—94no—
244C3×#41—332no—
245C2×C3×Q8—34no—
246C2×C3×D4—38no—
247C2×C3×D4—34no—
248C2×C3×D4—92no—
249C2×C3×D4—92no—
250C2×C3×D4—98no—
251C22×C3×C4—24no—
252C22×C3×C4—38no—
253C22×C3×C4D3214yescomplemented
254C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
255C2×#67—916no—
256C2×#67—98no—
257C2×#67—92no—
258C2×#67—94no—
259C2×#67—932no—
260C2×#67—94no—
261C2×#67—188no—
262C2×#67C2×C3⋊D312yescomplemented
263C22×Dic3—94no—
264#239—964no—
265#237—916no—
266#237—916no—
267D3×D4—964no—
268D3×D4—9128no—
269D3×D4—916no—
270D3×D4—916no—
271#235—964no—
272#235—932no—
273#235—98no—
274#235—1832no—
275#235C2×C3⋊D318yescomplemented
276C2×D12—38no—
277C2×D12—38no—
278C2×D12—332no—
279C2×D12—964no—
280C2×D12—916no—
281C2×D12—94no—
282C2×D12—91no—
283C2×D12—184no—
284C2×D12C2×C3⋊D311yescharacteristic, complemented
285C2×C4×D3—916no—
286C2×C4×D3—98no—
287C2×C4×D3—92no—
288C2×C4×D3—188no—
289C2×C4×D3C2×C3⋊D312yescomplemented
290C2×Dic6—94no—
291C2×Dic6—91no—
292C2×Dic6—184no—
293C2×Dic6C2×C3⋊D311yescharacteristic, complemented
294C22×C32—22no—
295C22×C32—24no—
296C22×C32—28no—
297C22×C32—28no—
298C22×C32—34no—
299C22×C32—48no—
300C22×C32—64no—
301C22×C32C23×D318yes—
302C22×C32C23×D314yes—
303C22×C32C23×D312yes—
304C22×C32C23×D311yescharacteristic
305C2×C3⋊D3—28no—
306C2×C3⋊D3—34no—
307C2×C3⋊D3—316no—
308C2×C3⋊D3—48no—
309C2×C3⋊D3—616no—
310C2×C3⋊D3—64no—
311C2×C3⋊D3—616no—
312C2×C3⋊D3—1216no—
313C2×C3⋊D3—1216no—
314C2×C3⋊D3C23×D318yes—
315C2×C3×D3—216no—
316C2×C3×D3—332no—
317C2×C3×D3—632no—
318C2×C3×D3—1232no—
319C2×C3×D3C23×D3116yes—
320D32—1264no—
321C32×C4—28no—
322C32×C4—28no—
323C32×C4—34no—
324C32×C4C23×D318yes—
325C32×C4C23×D318yes—
326C32×C4C23×D312yes—
327C32×C4C23×D312yes—
328C3⋊Dic3—34no—
329C3⋊Dic3—316no—
330C3⋊Dic3—616no—
331C3×Dic3C23×D3116yes—
332H(5,𝔽2)—2716no—
333C2×#41—31no—
334C2×#41—272no—
335C2×#41—272no—
336C2×#41—271no—
337C22×D4—91no—
338C22×D4—272no—
339C22×D4—272no—
340C22×D4—274no—
341C33C2×H(5,𝔽2)11yescharacteristic, complemented, Sylow
342C23×C3—24no—
343C23×C3—38no—
344C23×C3—94no—
345C23×C3—98no—
346C23×C3—364no—
347C23×C3C2×D3214yes—
348C23×C3C22×C3⋊D311yescharacteristic
349C22×D3—316no—
350C22×D3—332no—
351C22×D3—964no—
352C22×D3—98no—
353C22×D3—92no—
354C22×D3—916no—
355C22×D3—1216no—
356C22×D3—188no—
357C22×D3—368no—
358C22×D3—3632no—
359C22×D3C22×C3⋊D312yes—
360C3×Q8—316no—
361C3×D4—332no—
362C3×D4—316no—
363C3×D4—98no—
364C3×D4—98no—
365C2×C3×C4—24no—
366C2×C3×C4—24no—
367C2×C3×C4—216no—
368C2×C3×C4—38no—
369C2×C3×C4—332no—
370C2×C3×C4C2×D3214yes—
371C2×C3×C4C2×D3214yes—
372C2×C3×C4C2×D32116yescomplemented
373C2×C3×C4C22×C3⋊D311yescharacteristic
374C2×C3×C4C22×C3⋊D311yescharacteristic
375C2×C3×C4C22×C3⋊D314yescomplemented
376#67—964no—
377#67—932no—
378#67—98no—
379#67—916no—
380#67—916no—
381#67—1832no—
382#67C22×C3⋊D318yescomplemented
383C2×Dic3—98no—
384C2×Dic3—92no—
385C2×Dic3—916no—
386C2×Dic3—188no—
387C2×Dic3C22×C3⋊D312yes—
388D12—332no—
389D12—332no—
390D12—964no—
391D12—916no—
392D12—94no—
393D12—1816no—
394D12C22×C3⋊D314yescomplemented
395C4×D3—964no—
396C4×D3—932no—
397C4×D3—98no—
398C4×D3—1832no—
399C4×D3C22×C3⋊D318yescomplemented
400Dic6—916no—
401Dic6—94no—
402Dic6—1816no—
403Dic6C22×C3⋊D314yescomplemented
404C2×C32—22no—
405C2×C32—28no—
406C2×C32—24no—
407C2×C32—28no—
408C2×C32—48no—
409C2×C32—64no—
410C2×C32#100412yescomplemented
411C2×C32#100918yescomplemented
412C2×C32C24×D314yes—
413C2×C32C24×D311yescharacteristic
414C3⋊D3—28no—
415C3⋊D3—64no—
416C3⋊D3—616no—
417C3⋊D3—1216no—
418C3×D3—216no—
419C3×D3—632no—
420C24—92no—
421C24—274no—
422#41—38no—
423#41—2716no—
424#41—2716no—
425#41—278no—
426C2×Q8—31no—
427C2×Q8—271no—
428C2×D4—32no—
429C2×D4—31no—
430C2×D4—92no—
431C2×D4—92no—
432C2×D4—98no—
433C2×D4—2716no—
434C2×D4—274no—
435C2×D4—2716no—
436C2×D4—2732no—
437C2×D4—274no—
438C2×D4—272no—
439C2×D4—271no—
440C22×C4—32no—
441C22×C4—274no—
442C22×C4—272no—
443C22×C4D3×C3⋊D311yescharacteristic, complemented
444C22×C3—28no—
445C22×C3—22no—
446C22×C3—28no—
447C22×C3—24no—
448C22×C3—316no—
449C22×C3—48no—
450C22×C3—616no—
451C22×C3—98no—
452C22×C3—188no—
453C22×C3—368no—
454C22×C3C22×D3218yes—
455C22×C3C22×D3214yes—
456C22×C3C23×C3⋊D312yes—
457C22×C3C23×C3⋊D311yescharacteristic
458C2×D3—24no—
459C2×D3—332no—
460C2×D3—632no—
461C2×D3—916no—
462C2×D3—94no—
463C2×D3—1232no—
464C2×D3—1816no—
465C2×D3—1816no—
466C2×D3—184no—
467C2×D3—3616no—
468C2×D3—3616no—
469C2×D3—3664no—
470C2×D3C23×C3⋊D314yes—
471C3×C4—28no—
472C3×C4—28no—
473C3×C4—316no—
474C3×C4C22×D3218yes—
475C3×C4C22×D3218yes—
476C3×C4C23×C3⋊D312yes—
477C3×C4C23×C3⋊D312yes—
478Dic3—916no—
479Dic3—94no—
480Dic3—1816no—
481Dic3C23×C3⋊D314yes—
482C32—24no—
483C32C2×#100411yescharacteristic, complemented
484C32C2×#100914yescomplemented
485C23—32no—
486C23—94no—
487C23—98no—
488C23—2716no—
489C23—272no—
490C23—364no—
491C23—1088no—
492C23C2×D3×C3⋊D311yescharacteristic
493Q8—34no—
494Q8—274no—
495D4—38no—
496D4—34no—
497D4—98no—
498D4—98no—
499D4—2716no—
500D4—2716no—
501D4—278no—
502D4—274no—
503C2×C4—32no—
504C2×C4—38no—
505C2×C4—2716no—
506C2×C4—272no—
507C2×C4—278no—
508C2×C4C2×D3×C3⋊D311yescharacteristic
509C2×C4C2×D3×C3⋊D311yescharacteristic
510C2×C4C2×D3×C3⋊D314yescomplemented
511C2×C3—28no—
512C2×C3—22no—
513C2×C3—28no—
514C2×C3—24no—
515C2×C3—48no—
516C2×C3—616no—
517C2×C3—188no—
518C2×C3#6430718yescomplemented
519C2×C3#6436612yescomplemented
520C2×C3C23×D3214yes—
521C2×C3C24×C3⋊D311yescharacteristic
522D3—24no—
523D3—632no—
524D3—1816no—
525D3—184no—
526D3—3616no—
527C22—22no—
528C22—34no—
529C22—64no—
530C22—98no—
531C22—188no—
532C22—274no—
533C22—368no—
534C22—544no—
535C22—10816no—
536C22C22×D3×C3⋊D312yes—
537C22C22×D3×C3⋊D311yescharacteristic
538C4—34no—
539C4—274no—
540C4C22×D3×C3⋊D312yes—
541C4C22×D3×C3⋊D312yes—
542C3—24no—
543C3C2×#6430714yescomplemented
544C3C2×#6436611yescharacteristic, complemented
545C2—22no—
546C2—64no—
547C2—188no—
548C2—544no—
549C2#1172458012yesdirect product factor
550C2C23×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. C2×#89076C2semidirect
2. C22×C3×C4⋊(C3⋊D3)C2semidirect
3. C2×C32×#235C2semidirect
4. C2×C3⋊D3×#67C2semidirect
5. #11724580C2direct (N × H)
6. C2×#89026C2semidirect
7. C2×D3×C4⋊(C3⋊D3)C2semidirect
8. C2×#89021C2semidirect
9. C2×#89017C2semidirect
12. C23×C3×C3⋊D3C22semidirect
13. C22×D3×C3⋊D3C22semidirect
14. C22×C33×C4C22semidirect
15. C2×#6312C22semidirect
16. #89076C22semidirect
17. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
18. C2×C4×C3⋊(C3⋊D3)C22semidirect
19. C2×#6308C22semidirect
20. C2×C3×C4⋊(C3⋊D3)C22semidirect
21. C2×C3×C4⋊(C3⋊D3)C22semidirect
22. C2×C3×C4⋊(C3⋊D3)C22semidirect
23. C2×C32×#67C22semidirect
24. C32×#235C22semidirect
25. C2×C32×D12C22semidirect
26. C2×C32×C4×D3C22semidirect
27. C2×C32×Dic6C22semidirect
28. C3⋊D3×#67C22semidirect
29. C2×#6292C22semidirect
30. C2×#6290C22semidirect
31. C2×Dic3×C3⋊D3C22semidirect
32. #89026C22semidirect
33. D3×C4⋊(C3⋊D3)C22semidirect
34. #89021C22semidirect
35. #89017C22semidirect
46. C22×C4⋊(C3⋊D3)D3semidirect
47. C2×C3×#235D3semidirect
59. C22×C3×C3⋊D3C23semidirect
62. C2×D3×C3⋊D3C23semidirect
65. C2×C33×C4C23semidirect
66. #6312C23semidirect
68. C4⋊(C3⋊(C3⋊D3))C23semidirect
69. C4×C3⋊(C3⋊D3)C23semidirect
70. #6308C23semidirect
71. C3×C4⋊(C3⋊D3)C23semidirect
72. C3×C4⋊(C3⋊D3)C23semidirect
73. C32×#67C23semidirect
75. C32×D12C23semidirect
76. C32×C4×D3C23semidirect
77. C32×Dic6C23semidirect
78. #6292C23semidirect
79. #6290C23semidirect
80. Dic3×C3⋊D3C23semidirect
84. C23×C3⋊D3C2×D3semidirect
93. C22×C32×C4C2×D3semidirect
94. C22×C32×C4C2×D3semidirect
111. C2×C4⋊(C3⋊D3)C2×D3semidirect
112. C2×C4⋊(C3⋊D3)C2×D3semidirect
113. C2×C4⋊(C3⋊D3)C2×D3semidirect
121. C2×C3×#67C2×D3semidirect
122. C3×#235C2×D3semidirect
126. C2×C3×D12C2×D3semidirect
127. C2×C3×C4×D3C2×D3semidirect
128. C2×C3×Dic6C2×D3semidirect
168. C2×#235C3⋊D3semidirect
182. C22×C3⋊D3C22×D3semidirect
201. C2×C32×C4C22×D3semidirect
202. C2×C32×C4C22×D3semidirect
214. C4⋊(C3⋊D3)C22×D3semidirect
215. C4⋊(C3⋊D3)C22×D3semidirect
223. C3×#67C22×D3semidirect
227. C3×D12C22×D3semidirect
228. C3×C4×D3C22×D3semidirect
229. C3×Dic6C22×D3semidirect
235. C2×C33H(5,𝔽2)semidirect
253. C22×C3×C4D32semidirect
254. C22×C3×C4C2×C3⋊D3semidirect
262. C2×#67C2×C3⋊D3semidirect
275. #235C2×C3⋊D3semidirect
284. C2×D12C2×C3⋊D3semidirect
289. C2×C4×D3C2×C3⋊D3semidirect
293. C2×Dic6C2×C3⋊D3semidirect
341. C33C2×H(5,𝔽2)semidirect
372. C2×C3×C4C2×D32semidirect
375. C2×C3×C4C22×C3⋊D3semidirect
382. #67C22×C3⋊D3semidirect
394. D12C22×C3⋊D3semidirect
399. C4×D3C22×C3⋊D3semidirect
403. Dic6C22×C3⋊D3semidirect
410. C2×C32#1004semidirect
411. C2×C32#1009semidirect
443. C22×C4D3×C3⋊D3semidirect
483. C32C2×#1004semidirect
484. C32C2×#1009semidirect
510. C2×C4C2×D3×C3⋊D3semidirect
518. C2×C3#64307semidirect
519. C2×C3#64366semidirect
543. C3C2×#64307semidirect
544. C3C2×#64366semidirect
549. C2#11724580direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#890762
C22×C3×C4⋊(C3⋊D3)2
C2×C32×#2352
C2×C3⋊D3×#672
#117245802
C2×#890262
C2×D3×C4⋊(C3⋊D3)2
C2×#890212
C2×#890172
C2×#643663
C2×#643073