Finite Group Databasebeta

← Dic6×(C2×D3)⋊C4 #11804886

Subgroups — Dic6×(C2×D3)⋊C4 #11804886

Order 1152.

1733 conjugacy classes of subgroups.

The subgroup lattice has 669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×Dic6C211yesmaximal, characteristic
2C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
3C2×Dic3×Dic6C211yesmaximal, characteristic, complemented
4#10592628C211yesmaximal, characteristic, complemented
5C3×C4×(C2×D3)⋊C4C211yesmaximal, characteristic
6#10591366C212yesmaximal
7Dic3×(C2×D3)⋊C4C212yesmaximal
8#10591313C211yesmaximal, characteristic
9#10591235C212yesmaximal, complemented
10#10591213C211yesmaximal, characteristic, complemented
11#10591191C212yesmaximal, complemented
12Q8×(C2×D3)⋊C4—31nomaximal
13C22⋊C4×Dic6—31nomaximal
14C22×#634C2211yescharacteristic
15C22×C3×C4×D3C2211yescharacteristic
16C22×C3×Dic6C2211yescharacteristic
17C22×#627C2212yes—
18C22×D3×Dic3C2212yes—
19C2×D3×Dic6—24no—
20C2×D3×Dic6—24no—
21C2×D3×Dic6C418yescomplemented
22C2×C32×C42C2211yescharacteristic
23C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
24C2×C3×(C2×D3)⋊C4C2211yescharacteristic
25C2×C3×(C2×D3)⋊C4C2211yescharacteristic
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×Dic3⋊C4C2212yes—
28C2×C3×C4×Dic3C2211yescharacteristic
29C2×C3×C4×Dic3C2212yes—
30C3×C4×Dic6—24no—
31C2×Dic3⋊Dic3C2212yes—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×Dic32C2212yes—
34Dic3×Dic6—24no—
35#63658C2212yes—
36#63658C2212yes—
37C3×C3⋊#95C2211yescharacteristic
38C3×C3⋊#95C2211yescharacteristic
39#63579C2212yes—
40#63579C2212yes—
41#63579C2212yes—
42C22×D3×Q8—31no—
43C23×Dic6—31no—
44C2×C3×C4×Q8—31no—
45C2×Q8×Dic3—31no—
46C2×C4×Dic6—31no—
47C2×C4×Dic6D311yescharacteristic, complemented
48C3×C4×C22⋊C4—31no—
49#5212—31no—
50#4987—31no—
51#4987—32no—
52#4973—31no—
53#4973—32no—
54#4942—32no—
55Dic3×C22⋊C4—32no—
56C4×(C2×D3)⋊C4—32no—
57C4×(C2×D3)⋊C4D311yescharacteristic
58#4929—31no—
59#4929—31no—
60#4929—31no—
61#4929—32no—
62#4929—61no—
63#4646—32no—
64#4646—32no—
65C23×C3×D3C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C3⋊Dic3C2312yes—
70C22×C3⋊Dic3C2312yes—
71C2×#634—22no—
72C2×#634—22no—
73C2×#634C2×C414yes—
74C22×C3×Dic3C2312yes—
75C22×C3×Dic3C2311yescharacteristic
76C22×C3×Dic3C2311yescharacteristic
77C22×C3×Dic3C2311yescharacteristic
78C22×C3×Dic3C2312yes—
79C2×C3×C4×D3—22no—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3C2×C414yes—
82C2×C3×Dic6C2×C414yes—
83C2×C3×Dic6D414yes—
84C2×C3×Dic6D414yes—
85C2×#627—24no—
86C2×#627—24no—
87C2×#627C2×C418yes—
88C2×D3×Dic3—24no—
89C2×D3×Dic3—24no—
90C2×D3×Dic3C2×C418yes—
91D3×Dic6—232no—
92C32×C42—22no—
93C4⋊(C3⋊Dic3)—22no—
94C3×(C2×D3)⋊C4—22no—
95C3×(C2×D3)⋊C4Q814yescomplemented
96C3×C4⋊Dic3—22no—
97C3×Dic3⋊C4—24no—
98C3×C4×Dic3—22no—
99C3×C4×Dic3—24no—
100Dic3⋊Dic3—24no—
101(C2×D3)⋊Dic3—24no—
102Dic32—24no—
103Q8×C22⋊C4—91noSylow
104C22×C3×Q8—31no—
105C23×C3×C4—31no—
106C23×Dic3—32no—
107C2×D3×Q8—38no—
108C2×D3×Q8—64no—
109C2×D3×Q8—64no—
110C22×C4×D3—32no—
111C22×C4×D3C2×D311yescharacteristic
112C22×Dic6—31no—
113C22×Dic6—31no—
114C22×Dic6—32no—
115C22×Dic6—32no—
116C22×Dic6—38no—
117C22×Dic6—61no—
118C22×Dic6—64no—
119C22×Dic6—64no—
120C22×Dic6C2×D311yescharacteristic
121C3×C4×Q8—64no—
122C2×C3×C4⋊C4—32no—
123C2×C3×C4⋊C4—31no—
124C2×C3×C22⋊C4—31no—
125C2×C3×C22⋊C4—31no—
126C2×C3×C42—21no—
127C2×C3×C42—32no—
128C2×C3×C42—31no—
129C2×C3×C42C2×D311yescharacteristic
130C2×C3×C42C2×D311yescharacteristic
131C2×#217—32no—
132Q8×Dic3—64no—
133C2×(C2×D3)⋊C4—32no—
134C2×(C2×D3)⋊C4C2×D311yescharacteristic
135C2×(C2×D3)⋊C4C2×D311yescharacteristic
136C2×C4⋊Dic3—31no—
137C2×C4⋊Dic3—31no—
138C2×C4⋊Dic3—32no—
139C2×C4⋊Dic3—61no—
140C2×C4⋊Dic3C2×D311yescharacteristic
141C2×Dic3⋊C4—32no—
142C2×Dic3⋊C4C2×D312yes—
143C2×C4×Dic3—32no—
144C2×C4×Dic3—32no—
145C2×C4×Dic3C2×D312yes—
146C2×C4×Dic3C2×D311yescharacteristic
147C4×Dic6—24no—
148C4×Dic6—64no—
149C3×#95—31no—
150C3×#95—31no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95—32no—
154C3⋊#95—32no—
155C3⋊#95—32no—
156C3⋊#95—32no—
157C3⋊#95—32no—
158C3⋊#95—32no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—62no—
162C3⋊#95—62no—
163C3⋊#95C2×D311yescharacteristic
164C3⋊#95C2×D311yescharacteristic
165C23×C32C2411yescharacteristic
166C22×C3×D3—21no—
167C22×C3×D3—21no—
168C22×C3×D3—21no—
169C22×C3×D3—21no—
170C22×C3×D3C22×C412yes—
171C22×C3×D3C2×Q812yes—
172C22×C3×D3#4112yes—
173C2×C32×C4—21no—
174C2×C32×C4—21no—
175C2×C32×C4—21no—
176C2×C32×C4—21no—
177C2×C32×C4—21no—
178C2×C32×C4C22×C412yes—
179C2×C32×C4C2×D412yes—
180C2×C32×C4C2×D412yes—
181C2×C32×C4C2×Q812yescomplemented
182C2×C3⋊Dic3—22no—
183C2×C3⋊Dic3—22no—
184C2×C3⋊Dic3—22no—
185C2×C3⋊Dic3—22no—
186C2×C3⋊Dic3—22no—
187C2×C3⋊Dic3C22×C414yes—
188#634—28no—
189C2×C3×Dic3—21no—
190C2×C3×Dic3—21no—
191C2×C3×Dic3—21no—
192C2×C3×Dic3—21no—
193C2×C3×Dic3—21no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3C22×C412yes—
200C2×C3×Dic3C22×C414yes—
201C2×C3×Dic3C2×D414yes—
202C2×C3×Dic3C2×D414yes—
203C2×C3×Dic3C2×Q812yescomplemented
204C3×C4×D3—28no—
205C3×Dic6C22⋊C4116yescomplemented
206#627—216no—
207D3×Dic3—216no—
208C23×Q8—91no—
209C2×C4×Q8—31no—
210C2×C4×Q8—91no—
211#391—92no—
212#391—92no—
213#391—91no—
214#391—91no—
215#380—92no—
216#380—91no—
217C4×C22⋊C4—31no—
218C4×C22⋊C4—92no—
219C24×C3—31no—
220C23×D3C22×D311yescharacteristic
221C2×C3×Q8—34no—
222C2×C3×Q8—34no—
223C2×C3×Q8—34no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—32no—
228C22×C3×C4—31no—
229C22×C3×C4—31no—
230C22×C3×C4—34no—
231C22×C3×C4—32no—
232C22×C3×C4—31no—
233C22×C3×C4—62no—
234C22×C3×C4—62no—
235C22×C3×C4C22×D311yescharacteristic
236C22×C3×C4C22×D311yescharacteristic
237C22×C3×C4C22×D311yescharacteristic
238C22×C3×C4C22×D311yescharacteristic
239C22×C3×C4C22×D311yescharacteristic
240C22×C3×C4C22×D311yescharacteristic
241C22×Dic3—32no—
242C22×Dic3—32no—
243C22×Dic3—38no—
244C22×Dic3—32no—
245C22×Dic3—32no—
246C22×Dic3—62no—
247C22×Dic3—62no—
248C22×Dic3—64no—
249C22×Dic3—64no—
250C22×Dic3C22×D312yes—
251C22×Dic3C22×D311yescharacteristic
252C22×Dic3C22×D311yescharacteristic
253C22×Dic3C22×D311yescharacteristic
254C22×Dic3C22×D312yes—
255D3×Q8—632no—
256C2×C4×D3—22no—
257C2×C4×D3—22no—
258C2×C4×D3—38no—
259C2×C4×D3—64no—
260C2×C4×D3—64no—
261C2×C4×D3C4×D314yes—
262C2×Dic6—34no—
263C2×Dic6—34no—
264C2×Dic6—38no—
265C2×Dic6—38no—
266C2×Dic6—64no—
267C2×Dic6—64no—
268C2×Dic6—64no—
269C2×Dic6—62no—
270C2×Dic6—62no—
271C2×Dic6—62no—
272C2×Dic6—62no—
273C2×Dic6—64no—
274C2×Dic6—64no—
275C2×Dic6—632no—
276C2×Dic6—122no—
277C2×Dic6—122no—
278C2×Dic6C4×D314yes—
279C2×Dic6D1214yes—
280C2×Dic6#6714yes—
281C3×C4⋊C4—64no—
282C3×C4⋊C4—62no—
283C3×C22⋊C4—34no—
284C3×C22⋊C4—62no—
285C3×C42—22no—
286C3×C42—22no—
287C3×C42—42no—
288C3×C42—64no—
289C3×C42—62no—
290#217—64no—
291(C2×D3)⋊C4—22no—
292(C2×D3)⋊C4—64no—
293(C2×D3)⋊C4Dic614yesdirect product factor
294C4⋊Dic3—22no—
295C4⋊Dic3—64no—
296C4⋊Dic3—62no—
297C4⋊Dic3—62no—
298C4⋊Dic3—122no—
299Dic3⋊C4—24no—
300Dic3⋊C4—64no—
301C4×Dic3—22no—
302C4×Dic3—24no—
303C4×Dic3—64no—
304C4×Dic3—64no—
305C22×C32C23×C411yescharacteristic
306C22×C32C22×D411yescharacteristic
307C22×C32C22×D411yescharacteristic
308C22×C32C22×Q811yescharacteristic
309C22×C32C2×#4111yescharacteristic
310C22×C322−1+411yescharacteristic
311C22×C322−1+411yescharacteristic
312C2×C3×D3—22no—
313C2×C3×D3—22no—
314C2×C3×D3—22no—
315C2×C3×D3—22no—
316C2×C3×D3—22no—
317C2×C3×D3—22no—
318C2×C3×D3C4×Q814yescomplemented
319C32×C4—22no—
320C32×C4—41no—
321C32×C4C2×C22⋊C414yes—
322C3⋊Dic3—24no—
323C3⋊Dic3—42no—
324C3×Dic3—22no—
325C3×Dic3—22no—
326C3×Dic3—41no—
327C3×Dic3—42no—
328C3×Dic3C2×C22⋊C418yes—
329C22×Q8—31no—
330C22×Q8—92no—
331C22×Q8—98no—
332C22×Q8—91no—
333C22×Q8—184no—
334C22×Q8—184no—
335C23×C4—31no—
336C23×C4—92no—
337C4×Q8—64no—
338C4×Q8—184no—
339C2×C4⋊C4—32no—
340C2×C4⋊C4—31no—
341C2×C4⋊C4—92no—
342C2×C4⋊C4—91no—
343C2×C22⋊C4—31no—
344C2×C22⋊C4—31no—
345C2×C22⋊C4—92no—
346C2×C42—32no—
347C2×C42—31no—
348C2×C42—92no—
349C2×C42D3211yescharacteristic
350#95—31no—
351#95—31no—
352#95—92no—
353#95—92no—
354#95—92no—
355#95—92no—
356#95—92no—
357C23×C3—21no—
358C23×C3—32no—
359C23×C3—32no—
360C23×C3—32no—
361C23×C3—61no—
362C23×C3—61no—
363C23×C3—61no—
364C23×C3—61no—
365C23×C3C23×D311yescharacteristic
366C23×C3C23×D311yescharacteristic
367C22×D3—21no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3C2×Dic612yes—
372C22×D3C2×C4×D312yes—
373C22×D3#23512yes—
374C3×Q8—316no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—22no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—34no—
391C2×C3×C4—34no—
392C2×C3×C4—34no—
393C2×C3×C4—32no—
394C2×C3×C4—32no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—61no—
400C2×C3×C4—61no—
401C2×C3×C4—61no—
402C2×C3×C4—61no—
403C2×C3×C4—68no—
404C2×C3×C4—61no—
405C2×C3×C4—62no—
406C2×C3×C4—62no—
407C2×C3×C4—61no—
408C2×C3×C4—61no—
409C2×C3×C4—62no—
410C2×C3×C4C2×Dic612yescomplemented
411C2×C3×C4C2×C4×D312yes—
412C2×C3×C4C2×C4×D312yes—
413C2×C3×C4C2×D1212yes—
414C2×C3×C4D3×D412yes—
415C2×C3×C4D3×D412yes—
416C2×C3×C4D3×Q812yescomplemented
417C2×C3×C4C2×#6712yes—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—22no—
425C2×Dic3—21no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—34no—
429C2×Dic3—34no—
430C2×Dic3—64no—
431C2×Dic3—62no—
432C2×Dic3—62no—
433C2×Dic3—62no—
434C2×Dic3—62no—
435C2×Dic3—616no—
436C2×Dic3—62no—
437C2×Dic3—62no—
438C2×Dic3—62no—
439C2×Dic3—62no—
440C2×Dic3—62no—
441C2×Dic3—62no—
442C2×Dic3—122no—
443C2×Dic3—122no—
444C2×Dic3—122no—
445C2×Dic3—122no—
446C2×Dic3—122no—
447C2×Dic3C2×Dic612yescomplemented
448C2×Dic3C2×C4×D312yes—
449C2×Dic3C2×C4×D314yes—
450C2×Dic3C2×D1214yes—
451C2×Dic3C2×#6714yes—
452C4×D3—28no—
453C4×D3—616no—
454Dic6—616no—
455Dic6—68no—
456Dic6—68no—
457Dic6—616no—
458Dic6—128no—
459Dic6(C2×D3)⋊C4116yesdirect product factor
460C2×C32C22×C22⋊C411yescharacteristic
461C2×C32C2×C4×Q811yescharacteristic
462C2×C32#51911yescharacteristic
463C2×C32#54811yescharacteristic
464C2×C32#54811yescharacteristic
465C2×C32D4×Q811yescharacteristic
466C2×C32D4×Q811yescharacteristic
467C3×D3—24no—
468C24—31no—
469C2×Q8—34no—
470C2×Q8—34no—
471C2×Q8—34no—
472C2×Q8—98no—
473C2×Q8—94no—
474C2×Q8—184no—
475C2×Q8—184no—
476C2×Q8—1832no—
477C2×Q8—182no—
478C2×Q8—182no—
479C22×C4—32no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—34no—
483C22×C4—31no—
484C22×C4—32no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—98no—
488C22×C4—92no—
489C22×C4—92no—
490C22×C4—184no—
491C22×C4—184no—
492C22×C4C2×D3211yescharacteristic
493C22×C4C2×D3211yescharacteristic
494C22×C4C2×D3211yescharacteristic
495C4⋊C4—64no—
496C4⋊C4—62no—
497C4⋊C4—184no—
498C4⋊C4—182no—
499C22⋊C4—34no—
500C22⋊C4—62no—
501C22⋊C4—184no—
502C42—22no—
503C42—64no—
504C42—62no—
505C42—184no—
506C22×C3—21no—
507C22×C3—21no—
508C22×C3—21no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—34no—
514C22×C3—62no—
515C22×C3—62no—
516C22×C3—62no—
517C22×C3—62no—
518C22×C3—62no—
519C22×C3—62no—
520C22×C3C22×Dic611yescharacteristic
521C22×C3C22×C4×D311yescharacteristic
522C22×C3C22×C4×D311yescharacteristic
523C22×C3C22×D1211yescharacteristic
524C22×C3C2×#23511yescharacteristic
525C22×C3C2×D3×D411yescharacteristic
526C22×C3C2×D3×D411yescharacteristic
527C22×C3C2×D3×Q811yescharacteristic
528C22×C3#100711yescharacteristic
529C22×C3D3×#4111yescharacteristic
530C22×C3#101011yescharacteristic
531C22×C3#101011yescharacteristic
532C22×C3#101011yescharacteristic
533C22×C3C22×#6711yescharacteristic
534C2×D3—22no—
535C2×D3—22no—
536C2×D3—22no—
537C2×D3—22no—
538C2×D3—22no—
539C2×D3—22no—
540C2×D3C4×Dic614yescomplemented
541C3×C4—22no—
542C3×C4—22no—
543C3×C4—24no—
544C3×C4—38no—
545C3×C4—42no—
546C3×C4—42no—
547C3×C4—41no—
548C3×C4—41no—
549C3×C4—62no—
550C3×C4—62no—
551C3×C4—122no—
552C3×C4—121no—
553C3×C4D3×C22⋊C414yes—
554C3×C4C2×(C2×D3)⋊C414yes—
555Dic3—22no—
556Dic3—22no—
557Dic3—41no—
558Dic3—42no—
559Dic3—64no—
560Dic3—64no—
561Dic3—124no—
562Dic3—122no—
563Dic3—122no—
564Dic3—242no—
565Dic3C2×(C2×D3)⋊C418yes—
566C32Q8×C22⋊C411yescharacteristic, complemented, Sylow
567C23—32no—
568C23—32no—
569C23—32no—
570C23—61no—
571C23—61no—
572C23—61no—
573C23—61no—
574C23C22×D3211yescharacteristic
575Q8—316no—
576Q8—1816no—
577Q8—188no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—34no—
584C2×C4—34no—
585C2×C4—34no—
586C2×C4—32no—
587C2×C4—32no—
588C2×C4—61no—
589C2×C4—61no—
590C2×C4—61no—
591C2×C4—61no—
592C2×C4—68no—
593C2×C4—61no—
594C2×C4—62no—
595C2×C4—61no—
596C2×C4—61no—
597C2×C4—62no—
598C2×C4—62no—
599C2×C4—94no—
600C2×C4—1816no—
601C2×C4—182no—
602C2×C4—182no—
603C2×C4—182no—
604C2×C4—182no—
605C2×C4—182no—
606C2×C4D3×Dic612yescomplemented
607C2×C4C4×D3212yes—
608C2×C4D3×D1212yes—
609C2×C4D3×#6712yes—
610C2×C3—21no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—64no—
618C2×C3C2×C4×Dic611yescharacteristic
619C2×C3C2×D3×C22⋊C411yescharacteristic
620C2×C3#551611yescharacteristic
621C2×C3D4×Dic611yescharacteristic
622C2×C3D4×Dic611yescharacteristic
623C2×C3#555211yescharacteristic
624C2×C3#555211yescharacteristic
625C2×C3C4×D3×Q811yescharacteristic
626C2×C3#557211yescharacteristic
627C2×C3Q8×D1211yescharacteristic
628C2×C3#557611yescharacteristic
629C2×C3C22×(C2×D3)⋊C411yescharacteristic
630C2×C3Q8×#6711yescharacteristic
631C2×C3#583111yescharacteristic
632D3—24no—
633C22—34no—
634C22—62no—
635C22—62no—
636C22—62no—
637C22—62no—
638C22—62no—
639C22—62no—
640C22C2×D3×Dic611yescharacteristic
641C22#6429711yescharacteristic
642C22#6429811yescharacteristic
643C22C2×C4×D3211yescharacteristic
644C22C2×D3×D1211yescharacteristic
645C22D3×#23511yescharacteristic
646C22C2×D3×#6711yescharacteristic
647C4—22no—
648C4—38no—
649C4—41no—
650C4—62no—
651C4—62no—
652C4—122no—
653C4—121no—
654C4—184no—
655C4—362no—
656C4D3×(C2×D3)⋊C414yes—
657C3—21no—
658C3C22⋊C4×Dic611yescharacteristic, complemented
659C3Q8×(C2×D3)⋊C411yescharacteristic, complemented
660C2—64no—
661C2C4×D3×Dic611yescharacteristic
662C2#1059388511yescharacteristic
663C2Dic6×D1211yescharacteristic
664C2#1059389911yescharacteristic
665C2Dic6×#6711yescharacteristic
666C2#1059489911yescharacteristic
667C2C2×D3×(C2×D3)⋊C411yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C42C22
socle, cosocleC23×C32C24
prime radicalC23×C3×D3C23
hypercenterC2×C42D32
hypocenterC32Q8×C22⋊C4
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×Dic6C2semidirect
3. C2×Dic3×Dic6C2semidirect
4. #10592628C2semidirect
9. #10591235C2semidirect
10. #10591213C2semidirect
11. #10591191C2semidirect
21. C2×D3×Dic6C4semidirect
47. C2×C4×Dic6D3semidirect
95. C3×(C2×D3)⋊C4Q8semidirect
181. C2×C32×C4C2×Q8semidirect
203. C2×C3×Dic3C2×Q8semidirect
205. C3×Dic6C22⋊C4semidirect
293. (C2×D3)⋊C4Dic6direct (N × H)
318. C2×C3×D3C4×Q8semidirect
410. C2×C3×C4C2×Dic6semidirect
416. C2×C3×C4D3×Q8semidirect
447. C2×Dic3C2×Dic6semidirect
459. Dic6(C2×D3)⋊C4direct (N × H)
540. C2×D3C4×Dic6semidirect
566. C32Q8×C22⋊C4semidirect
606. C2×C4D3×Dic6semidirect
658. C3C22⋊C4×Dic6semidirect
659. C3Q8×(C2×D3)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×D3×Dic62
C2×C3×C4×Dic62
C2×Dic3×Dic62
#105926282
C3×C4×(C2×D3)⋊C42
#105913662
Dic3×(C2×D3)⋊C42
#105913132
#105912352
#105912132
#105911912
Q8×(C2×D3)⋊C43
C22⋊C4×Dic63