Finite Group Databasebeta

← D12×Dic3⋊C4 #11805464

Subgroups — D12×Dic3⋊C4 #11805464

Order 1152.

1637 conjugacy classes of subgroups.

The subgroup lattice has 659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×D12C211yesmaximal, characteristic
2C2×Dic3×D12C211yesmaximal, characteristic
3C2×Dic3×D12C211yesmaximal, characteristic
4C2×D3×Dic3⋊C4C212yesmaximal, complemented
5#10592627C211yesmaximal, characteristic, complemented
6C3×C4×Dic3⋊C4C211yesmaximal, characteristic, complemented
7#10591373C212yesmaximal, complemented
8#10591366C212yesmaximal, complemented
9#10591349C211yesmaximal, characteristic, complemented
10#10591278C212yesmaximal, complemented
11#10591212C211yesmaximal, characteristic, complemented
12D4×Dic3⋊C4—31nomaximal
13C4⋊C4×D12—31nomaximal
14C22×C3×D12C2211yescharacteristic
15C22×C3×C4×D3C2212yes—
16C22×D3×Dic3C2212yes—
17C22×D3×Dic3C2212yes—
18C2×C32×C42C2211yescharacteristic
19C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
21C2×#3750C2212yes—
22C2×C3×(C2×D3)⋊C4C2212yes—
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C2×C3×Dic3⋊C4C2211yescharacteristic
25C2×C3×Dic3⋊C4C2211yescharacteristic
26C2×C3×C4×Dic3C2211yescharacteristic
27C2×C3×C4×Dic3C2211yescharacteristic
28C3×C4×D12—24no—
29C2×#3724C2212yes—
30C2×Dic3⋊Dic3C2212yes—
31C2×Dic3⋊Dic3C2212yes—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34Dic3×D12—24no—
35Dic3×D12C418yescomplemented
36D3×Dic3⋊C4—28no—
37#63658C2212yes—
38C3×C3⋊#95C2211yescharacteristic
39C3×C3⋊#95C2211yescharacteristic
40#63579C2212yes—
41C2×C3×C4×D4—31no—
42C2×D4×Dic3—31no—
43C2×D4×Dic3—31no—
44C22×Dic3⋊C4—32no—
45C2×D3×C4⋊C4—32no—
46C2×C4×D12—31no—
47C2×C4×D12—31no—
48C2×C4×D12D311yescharacteristic
49C3×C4×C4⋊C4—31no—
50#5210—32no—
51#4987—32no—
52#4975—31no—
53#4972—31no—
54#4946—32no—
55#4942—32no—
56#4935—31no—
57C4×Dic3⋊C4D311yescharacteristic, complemented
58#4928—31no—
59#4928—31no—
60#4928—31no—
61#4928—61no—
62#4668—32no—
63#4668—32no—
64C23×C3×D3C2312yes—
65C22×C32×C4C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C3⋊Dic3C2312yes—
69C22×C3⋊Dic3C2312yes—
70C22×C3×Dic3C2311yescharacteristic
71C22×C3×Dic3C2312yes—
72C22×C3×Dic3C2311yescharacteristic
73C22×C3×Dic3C2311yescharacteristic
74C22×C3×Dic3C2311yescharacteristic
75C2×C3×D12C2×C414yes—
76C2×C3×D12D414yes—
77C2×C3×D12Q814yes—
78C2×C3×C4×D3—24no—
79C2×C3×C4×D3—24no—
80C2×C3×C4×D3—42no—
81C2×D3×Dic3—24no—
82C2×D3×Dic3—24no—
83C2×D3×Dic3—24no—
84C2×D3×Dic3—24no—
85C2×D3×Dic3—42no—
86C2×D3×Dic3C2×C418yescomplemented
87C32×C42—22no—
88C4⋊(C3⋊Dic3)—22no—
89C4⋊(C3⋊Dic3)C2×C414yescomplemented
90#3750—24no—
91C3×(C2×D3)⋊C4—24no—
92C3×C4⋊Dic3—22no—
93C3×Dic3⋊C4—22no—
94C3×Dic3⋊C4D414yescomplemented
95C3×C4×Dic3—22no—
96C3×C4×Dic3C2×C414yescomplemented
97#3724—24no—
98Dic3⋊Dic3—24no—
99Dic3⋊Dic3—42no—
100(C2×D3)⋊Dic3—24no—
101(C2×D3)⋊Dic3C2×C418yescomplemented
102D4×C4⋊C4—91noSylow
103C22×C3×D4—31no—
104C23×C3×C4—32no—
105C23×Dic3—32no—
106C23×Dic3—32no—
107C22×D12C2×D311yescharacteristic
108C22×C4×D3—32no—
109C22×C4×D3—32no—
110C22×C4×D3C2×D312yes—
111C3×C4×D4—64no—
112C2×C3×C4⋊C4—31no—
113C2×C3×C4⋊C4—31no—
114C2×C3×C4⋊C4—31no—
115C2×C3×C22⋊C4—32no—
116C2×C3×C42—21no—
117C2×C3×C42—31no—
118C2×C3×C42—31no—
119C2×C3×C42C2×D311yescharacteristic
120C2×C3×C42C2×D311yescharacteristic
121C2×#217—32no—
122C2×#217—32no—
123D4×Dic3—38no—
124D4×Dic3—64no—
125C2×(C2×D3)⋊C4—32no—
126C2×(C2×D3)⋊C4—32no—
127C2×(C2×D3)⋊C4C2×D312yes—
128C2×C4⋊Dic3—31no—
129C2×C4⋊Dic3—31no—
130C2×C4⋊Dic3—31no—
131C2×C4⋊Dic3—31no—
132C2×C4⋊Dic3—32no—
133C2×C4⋊Dic3—32no—
134C2×C4⋊Dic3—61no—
135C2×C4⋊Dic3—61no—
136C2×C4⋊Dic3C2×D311yescharacteristic
137C2×Dic3⋊C4—32no—
138C2×Dic3⋊C4—32no—
139C2×Dic3⋊C4—32no—
140C2×Dic3⋊C4—32no—
141C2×Dic3⋊C4—32no—
142C2×Dic3⋊C4—32no—
143C2×Dic3⋊C4—62no—
144C2×Dic3⋊C4—68no—
145C2×Dic3⋊C4C2×D311yescharacteristic
146C2×Dic3⋊C4C2×D311yescharacteristic
147C2×C4×Dic3C2×D311yescharacteristic
148C2×C4×Dic3C2×D311yescharacteristic
149D3×C4⋊C4—68no—
150C4×D12—24no—
151C4×D12—38no—
152C4×D12—64no—
153C3×#95—31no—
154C3×#95—31no—
155C3⋊#95—32no—
156C3⋊#95—32no—
157C3⋊#95—32no—
158C3⋊#95—32no—
159C3⋊#95—62no—
160C3⋊#95C2×D311yescharacteristic
161C3⋊#95C2×D311yescharacteristic
162C23×C32C2411yescharacteristic
163C22×C3×D3—22no—
164C22×C3×D3—22no—
165C22×C3×D3—22no—
166C22×C3×D3—22no—
167C22×C3×D3C22×C414yes—
168C22×C3×D3C2×D414yes—
169C22×C3×D3C2×Q814yes—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—21no—
173C2×C32×C4—21no—
174C2×C32×C4—21no—
175C2×C32×C4C22×C412yes—
176C2×C32×C4C2×D412yes—
177C2×C32×C4C2×D412yes—
178C2×C32×C4C2×Q812yes—
179C2×C3⋊Dic3—22no—
180C2×C3⋊Dic3—22no—
181C2×C3⋊Dic3—22no—
182C2×C3⋊Dic3—22no—
183C2×C3⋊Dic3—22no—
184C2×C3⋊Dic3C22×C414yes—
185C2×C3×Dic3—21no—
186C2×C3×Dic3—21no—
187C2×C3×Dic3—21no—
188C2×C3×Dic3—21no—
189C2×C3×Dic3—21no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—21no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3C22×C412yes—
196C2×C3×Dic3C22×C412yes—
197C2×C3×Dic3C2×D412yes—
198C2×C3×Dic3C2×D412yes—
199C2×C3×Dic3#4112yes—
200C3×D12C4⋊C4116yescomplemented
201C3×C4×D3—48no—
202D3×Dic3—216no—
203D3×Dic3—48no—
204C2×C4×D4—31no—
205C2×C4×D4—91no—
206C2×C4×D4—91no—
207C22×C4⋊C4—92no—
208#389—91no—
209#389—91no—
210#385—92no—
211#385—92no—
212#384—91no—
213#380—92no—
214C4×C4⋊C4—31no—
215C24×C3—32no—
216C23×D3C22×D312yes—
217C2×C3×D4—34no—
218C2×C3×D4—34no—
219C2×C3×D4—34no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—31no—
224C22×C3×C4—31no—
225C22×C3×C4—31no—
226C22×C3×C4—31no—
227C22×C3×C4—32no—
228C22×C3×C4—64no—
229C22×C3×C4—64no—
230C22×C3×C4—122no—
231C22×C3×C4C22×D311yescharacteristic
232C22×C3×C4C22×D311yescharacteristic
233C22×C3×C4C22×D311yescharacteristic
234C22×C3×C4C22×D311yescharacteristic
235C22×C3×C4C22×D311yescharacteristic
236C22×C3×C4C22×D311yescharacteristic
237C22×Dic3—32no—
238C22×Dic3—32no—
239C22×Dic3—38no—
240C22×Dic3—32no—
241C22×Dic3—32no—
242C22×Dic3—62no—
243C22×Dic3—62no—
244C22×Dic3—64no—
245C22×Dic3—64no—
246C22×Dic3—64no—
247C22×Dic3—64no—
248C22×Dic3—122no—
249C22×Dic3C22×D311yescharacteristic
250C22×Dic3C22×D312yes—
251C22×Dic3C22×D311yescharacteristic
252C22×Dic3C22×D311yescharacteristic
253C22×Dic3C22×D311yescharacteristic
254C2×D12Dic614yes—
255C2×D12C4×D314yes—
256C2×D12#6714yes—
257C2×C4×D3—24no—
258C2×C4×D3—24no—
259C2×C4×D3—38no—
260C2×C4×D3—42no—
261C2×C4×D3—64no—
262C2×C4×D3—64no—
263C2×C4×D3—64no—
264C2×C4×D3—64no—
265C2×C4×D3—122no—
266C3×C4⋊C4—34no—
267C3×C4⋊C4—62no—
268C3×C4⋊C4—62no—
269C3×C22⋊C4—64no—
270C3×C42—22no—
271C3×C42—22no—
272C3×C42—34no—
273C3×C42—42no—
274C3×C42—62no—
275#217—38no—
276#217—64no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—38no—
279(C2×D3)⋊C4—64no—
280C4⋊Dic3—22no—
281C4⋊Dic3—34no—
282C4⋊Dic3—34no—
283C4⋊Dic3—64no—
284C4⋊Dic3—64no—
285C4⋊Dic3—62no—
286C4⋊Dic3—62no—
287C4⋊Dic3—122no—
288C4⋊Dic3—122no—
289Dic3⋊C4—22no—
290Dic3⋊C4—64no—
291Dic3⋊C4—64no—
292Dic3⋊C4—64no—
293Dic3⋊C4—64no—
294Dic3⋊C4—64no—
295Dic3⋊C4—124no—
296Dic3⋊C4—122no—
297Dic3⋊C4D1214yesdirect product factor
298C4×Dic3—22no—
299C4×Dic3C4×D314yescomplemented
300C22×C32C23×C411yescharacteristic
301C22×C32C22×D411yescharacteristic
302C22×C32C22×D411yescharacteristic
303C22×C32C22×Q811yescharacteristic
304C22×C32C2×#4111yescharacteristic
305C22×C32H(5,𝔽2)11yescharacteristic
306C22×C322−1+411yescharacteristic
307C2×C3×D3—24no—
308C2×C3×D3—24no—
309C2×C3×D3—24no—
310C2×C3×D3—24no—
311C2×C3×D3—24no—
312C2×C3×D3—24no—
313C2×C3×D3C2×C4⋊C418yescomplemented
314C32×C4—22no—
315C32×C4—41no—
316C32×C4C2×C4⋊C414yescomplemented
317C3⋊Dic3—24no—
318C3⋊Dic3—42no—
319C3×Dic3—22no—
320C3×Dic3—22no—
321C3×Dic3—42no—
322C3×Dic3—41no—
323C3×Dic3C4×D414yescomplemented
324C22×D4—31no—
325C23×C4—32no—
326C23×C4—92no—
327C23×C4—92no—
328C4×D4—64no—
329C4×D4—98no—
330C4×D4—184no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4—31no—
333C2×C4⋊C4—31no—
334C2×C4⋊C4—91no—
335C2×C4⋊C4—92no—
336C2×C4⋊C4—92no—
337C2×C4⋊C4—92no—
338C2×C4⋊C4—91no—
339C2×C4⋊C4—92no—
340C2×C4⋊C4—188no—
341C2×C22⋊C4—32no—
342C2×C22⋊C4—92no—
343C2×C22⋊C4—92no—
344C2×C42—31no—
345C2×C42—31no—
346C2×C42D3211yescharacteristic
347#95—31no—
348#95—31no—
349#95—92no—
350#95—92no—
351C23×C3—21no—
352C23×C3—34no—
353C23×C3—34no—
354C23×C3—34no—
355C23×C3—62no—
356C23×C3—62no—
357C23×C3—62no—
358C23×C3—62no—
359C23×C3C23×D311yescharacteristic
360C23×C3C23×D311yescharacteristic
361C22×D3—22no—
362C22×D3—22no—
363C22×D3—22no—
364C22×D3—22no—
365C22×D3C2×Dic614yes—
366C22×D3C2×C4×D314yes—
367C22×D3C2×#6714yes—
368C3×D4—316no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—22no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—32no—
385C2×C3×C4—32no—
386C2×C3×C4—32no—
387C2×C3×C4—32no—
388C2×C3×C4—32no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—61no—
394C2×C3×C4—61no—
395C2×C3×C4—61no—
396C2×C3×C4—61no—
397C2×C3×C4—62no—
398C2×C3×C4—62no—
399C2×C3×C4—61no—
400C2×C3×C4—62no—
401C2×C3×C4—61no—
402C2×C3×C4—61no—
403C2×C3×C4—128no—
404C2×C3×C4C2×Dic612yes—
405C2×C3×C4C2×C4×D312yes—
406C2×C3×C4C2×C4×D312yes—
407C2×C3×C4C2×D1212yes—
408C2×C3×C4D3×D412yes—
409C2×C3×C4D3×D412yes—
410C2×C3×C4D3×Q812yes—
411C2×C3×C4C2×#6712yes—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—21no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—21no—
421C2×Dic3—22no—
422C2×Dic3—34no—
423C2×Dic3—34no—
424C2×Dic3—64no—
425C2×Dic3—62no—
426C2×Dic3—62no—
427C2×Dic3—62no—
428C2×Dic3—62no—
429C2×Dic3—616no—
430C2×Dic3—62no—
431C2×Dic3—62no—
432C2×Dic3—62no—
433C2×Dic3—62no—
434C2×Dic3—62no—
435C2×Dic3—62no—
436C2×Dic3—122no—
437C2×Dic3—122no—
438C2×Dic3—122no—
439C2×Dic3—122no—
440C2×Dic3—122no—
441C2×Dic3—128no—
442C2×Dic3C2×C4×D312yes—
443C2×Dic3C2×C4×D312yes—
444C2×Dic3C2×D1212yes—
445C2×Dic3C2×D1212yes—
446C2×Dic3#23512yes—
447D12Dic3⋊C4116yesdirect product factor
448C4×D3—48no—
449C4×D3—616no—
450C4×D3—128no—
451C2×C32C22×C4⋊C411yescharacteristic
452C2×C32C2×C4×D411yescharacteristic
453C2×C32#52011yescharacteristic
454C2×C32D4211yescharacteristic
455C2×C32#54711yescharacteristic
456C2×C32D4×Q811yescharacteristic
457C2×C32#55411yescharacteristic
458C3×D3—28no—
459C24—32no—
460C2×D4—34no—
461C2×D4—34no—
462C2×D4—34no—
463C22×C4—31no—
464C22×C4—31no—
465C22×C4—31no—
466C22×C4—31no—
467C22×C4—32no—
468C22×C4—64no—
469C22×C4—64no—
470C22×C4—98no—
471C22×C4—92no—
472C22×C4—92no—
473C22×C4—122no—
474C22×C4—184no—
475C22×C4—184no—
476C22×C4—184no—
477C22×C4—184no—
478C22×C4—362no—
479C22×C4C2×D3211yescharacteristic
480C22×C4C2×D3211yescharacteristic
481C22×C4C2×D3211yescharacteristic
482C4⋊C4—34no—
483C4⋊C4—62no—
484C4⋊C4—62no—
485C4⋊C4—94no—
486C4⋊C4—184no—
487C4⋊C4—184no—
488C4⋊C4—184no—
489C4⋊C4—182no—
490C4⋊C4—362no—
491C22⋊C4—64no—
492C22⋊C4—98no—
493C22⋊C4—184no—
494C42—22no—
495C42—34no—
496C42—62no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—21no—
502C22×C3—21no—
503C22×C3—21no—
504C22×C3—38no—
505C22×C3—64no—
506C22×C3—64no—
507C22×C3—64no—
508C22×C3—64no—
509C22×C3—64no—
510C22×C3—64no—
511C22×C3C22×Dic611yescharacteristic
512C22×C3C22×C4×D311yescharacteristic
513C22×C3C22×C4×D311yescharacteristic
514C22×C3C22×D1211yescharacteristic
515C22×C3C2×#23511yescharacteristic
516C22×C3C2×D3×D411yescharacteristic
517C22×C3C2×D3×D411yescharacteristic
518C22×C3#100411yescharacteristic
519C22×C3C2×D3×Q811yescharacteristic
520C22×C3D3×#4111yescharacteristic
521C22×C3#100911yescharacteristic
522C22×C3#101011yescharacteristic
523C22×C3#101011yescharacteristic
524C22×C3C22×#6711yescharacteristic
525C2×D3—24no—
526C2×D3—24no—
527C2×D3—24no—
528C2×D3—24no—
529C2×D3—24no—
530C2×D3—24no—
531C2×D3C2×Dic3⋊C418yescomplemented
532C3×C4—22no—
533C3×C4—22no—
534C3×C4—24no—
535C3×C4—34no—
536C3×C4—42no—
537C3×C4—42no—
538C3×C4—41no—
539C3×C4—41no—
540C3×C4—62no—
541C3×C4—62no—
542C3×C4—122no—
543C3×C4—121no—
544C3×C4D3×C4⋊C414yescomplemented
545C3×C4C2×Dic3⋊C414yescomplemented
546Dic3—22no—
547Dic3—22no—
548Dic3—42no—
549Dic3—41no—
550Dic3—64no—
551Dic3—64no—
552Dic3—124no—
553Dic3—122no—
554Dic3—122no—
555Dic3—242no—
556Dic3C4×D1214yescomplemented
557C32D4×C4⋊C411yescharacteristic, complemented, Sylow
558C23—34no—
559C23—34no—
560C23—34no—
561C23—62no—
562C23—62no—
563C23—62no—
564C23—62no—
565C23C22×D3211yescharacteristic
566D4—316no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—32no—
573C2×C4—32no—
574C2×C4—32no—
575C2×C4—32no—
576C2×C4—32no—
577C2×C4—61no—
578C2×C4—61no—
579C2×C4—61no—
580C2×C4—61no—
581C2×C4—61no—
582C2×C4—62no—
583C2×C4—61no—
584C2×C4—62no—
585C2×C4—61no—
586C2×C4—62no—
587C2×C4—94no—
588C2×C4—128no—
589C2×C4—1816no—
590C2×C4—182no—
591C2×C4—182no—
592C2×C4—182no—
593C2×C4—182no—
594C2×C4—182no—
595C2×C4—368no—
596C2×C4D3×Dic612yes—
597C2×C4C4×D3212yes—
598C2×C4D3×D1212yes—
599C2×C4D3×#6712yes—
600C2×C3—21no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—68no—
608C2×C3C2×C4×D1211yescharacteristic
609C2×C3C2×D3×C4⋊C411yescharacteristic
610C2×C3#552311yescharacteristic
611C2×C3D4×Dic611yescharacteristic
612C2×C3#553911yescharacteristic
613C2×C3C4×D3×D411yescharacteristic
614C2×C3#554611yescharacteristic
615C2×C3D4×D1211yescharacteristic
616C2×C3#555111yescharacteristic
617C2×C3Q8×D1211yescharacteristic
618C2×C3#557911yescharacteristic
619C2×C3C22×Dic3⋊C411yescharacteristic
620C2×C3D4×#6711yescharacteristic
621C2×C3#582411yescharacteristic
622D3—28no—
623C22—38no—
624C22—64no—
625C22—64no—
626C22—64no—
627C22—64no—
628C22—64no—
629C22—64no—
630C22C2×D3×Dic611yescharacteristic
631C22#6429811yescharacteristic
632C22C2×C4×D3211yescharacteristic
633C22C2×D3×D1211yescharacteristic
634C22D3×#23511yescharacteristic
635C22#6430711yescharacteristic
636C22C2×D3×#6711yescharacteristic
637C4—22no—
638C4—34no—
639C4—41no—
640C4—62no—
641C4—62no—
642C4—121no—
643C4—122no—
644C4—184no—
645C4—362no—
646C4D3×Dic3⋊C414yescomplemented
647C3—21no—
648C3C4⋊C4×D1211yescharacteristic, complemented
649C3D4×Dic3⋊C411yescharacteristic, complemented
650C2—68no—
651C2#1059388711yescharacteristic
652C2Dic6×D1211yescharacteristic
653C2#1059392911yescharacteristic
654C2C4×D3×D1211yescharacteristic
655C2C2×D3×Dic3⋊C411yescharacteristic
656C2#1059488711yescharacteristic
657C2D12×#6711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C42C22
socle, cosocleC23×C32C24
prime radicalC22×C3×D12C22
hypercenterC2×C42D32
hypocenterC32D4×C4⋊C4
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
4. C2×D3×Dic3⋊C4C2semidirect
5. #10592627C2semidirect
6. C3×C4×Dic3⋊C4C2semidirect
7. #10591373C2semidirect
8. #10591366C2semidirect
9. #10591349C2semidirect
10. #10591278C2semidirect
11. #10591212C2semidirect
35. Dic3×D12C4semidirect
57. C4×Dic3⋊C4D3semidirect
86. C2×D3×Dic3C2×C4semidirect
89. C4⋊(C3⋊Dic3)C2×C4semidirect
94. C3×Dic3⋊C4D4semidirect
96. C3×C4×Dic3C2×C4semidirect
101. (C2×D3)⋊Dic3C2×C4semidirect
200. C3×D12C4⋊C4semidirect
297. Dic3⋊C4D12direct (N × H)
299. C4×Dic3C4×D3semidirect
313. C2×C3×D3C2×C4⋊C4semidirect
316. C32×C4C2×C4⋊C4semidirect
323. C3×Dic3C4×D4semidirect
447. D12Dic3⋊C4direct (N × H)
531. C2×D3C2×Dic3⋊C4semidirect
544. C3×C4D3×C4⋊C4semidirect
545. C3×C4C2×Dic3⋊C4semidirect
556. Dic3C4×D12semidirect
557. C32D4×C4⋊C4semidirect
646. C4D3×Dic3⋊C4semidirect
648. C3C4⋊C4×D12semidirect
649. C3D4×Dic3⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D122
C2×Dic3×D122
C2×D3×Dic3⋊C42
#105926272
C3×C4×Dic3⋊C42
#105913732
#105913662
#105913492
#105912782
#105912122
D4×Dic3⋊C43
C4⋊C4×D123