Finite Group Databasebeta

← C4×D9×D12 #13147698

Subgroups — C4×D9×D12 #13147698

Order 1728.

1372 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D9×D12C211yesmaximal, characteristic
2C2×C4×D3×D9C212yesmaximal, complemented
3C4×C4⋊(C3⋊D9)C211yesmaximal, characteristic, complemented
4C4×C9×D12C211yesmaximal, characteristic, complemented
5C3×C42×D9C211yesmaximal, characteristic, complemented
6D9×(C2×D3)⋊C4C212yesmaximal, complemented
7C4×#6195C212yesmaximal, complemented
8D12×Dic9C211yesmaximal, characteristic, complemented
9#11721013C212yesmaximal, complemented
10#11720992C211yesmaximal, characteristic, complemented
11D9×C4⋊Dic3C211yesmaximal, characteristic, complemented
12C4×D3×D12—31nomaximal
13C4×D4×D9—31nomaximal
14C22×D3×D9C2212yes—
15C2×C4⋊(C3⋊D9)C2211yescharacteristic
16C2×C4×C3⋊D9C2212yescomplemented
17C2×C9×D12C2211yescharacteristic
18C2×C4×D3×C9C2212yescomplemented
19C2×C3×C4×D9C2211yescharacteristic
20C2×C3×C4×D9C2211yescharacteristic
21C2×C3×C4×D9C2211yescharacteristic
22C2×#6195C2212yes—
23C2×D3×Dic9C2212yescomplemented
24C2×(C3⋊D9)⋊C4C2212yescomplemented
25C2×Dic3×D9C2212yes—
26D9×D12C418yesdirect product factor
27C4×D3×D9—28no—
28C3×C42×C9C2211yescharacteristic, complemented
29#88536C2212yescomplemented
30C4⋊(C3⋊Dic9)C2211yescharacteristic, complemented
31C9×(C2×D3)⋊C4C2212yescomplemented
32C9×C4⋊Dic3C2211yescharacteristic, complemented
33C3×C4×Dic9C2211yescharacteristic, complemented
34C3×C4×Dic9C2211yescharacteristic, complemented
35C3×C4×Dic9C2211yescharacteristic, complemented
36(C2×D3)⋊Dic9C2212yescomplemented
37#88445C2212yescomplemented
38Dic9⋊Dic3C2212yescomplemented
39C2×D3×D12—31no—
40C2×C4×D32—32no—
41C4×C4⋊(C3⋊D3)—31no—
42C3×C4×D12D311yescharacteristic
43C3×C42×D3—31no—
44D3×(C2×D3)⋊C4—32no—
45C4×#626—32no—
46#63894—31no—
47Dic3×D12—31no—
48D3×C4⋊Dic3—31no—
49#63880—32no—
50C2×D4×D9—31no—
51C22×C4×D9—32no—
52C4×D4×C9—31no—
53D4×Dic9—31no—
54C4×#611—32no—
55#63455—31no—
56C4⋊C4×D9—31no—
57#611⋊C4—32no—
58C22⋊C4×D9—32no—
59C4×D36—31no—
60C4×D36—61no—
61C42×D9D311yescharacteristic, complemented
62C22×C3⋊D9C2312yes—
63C22×D3×C9C2312yes—
64C22×C3×D9C2311yescharacteristic
65C2×D3×D9—24no—
66C2×D3×D9—24no—
67C2×D3×D9C2×C418yescomplemented
68C2×C3×C4×C9C2311yescharacteristic
69C2×C3×C4×C9C2311yescharacteristic
70C2×C3×C4×C9C2311yescharacteristic
71C2×C3⋊Dic9C2312yes—
72C4⋊(C3⋊D9)C2×C414yescomplemented
73C4×C3⋊D9—24no—
74C2×C9×Dic3C2312yes—
75C2×C3×Dic9C2311yescharacteristic
76C2×C3×Dic9C2311yescharacteristic
77C2×C3×Dic9C2311yescharacteristic
78C9×D12C2×C414yescomplemented
79C4×D3×C9—24no—
80C3×C4×D9—22no—
81C3×C4×D9C2×C414yescomplemented
82C3×C4×D9D414yescomplemented
83#6195C2×C418yescomplemented
84D3×Dic9—24no—
85(C3⋊D9)⋊C4—24no—
86Dic3×D9—24no—
87C4×D3×D4—91no—
88C2×C4×D12—91no—
89C22×D32—32no—
90C2×C4⋊(C3⋊D3)—31no—
91C2×C4×C3⋊D3—32no—
92C2×C3×D12C2×D311yescharacteristic
93C2×C3×C4×D3—31no—
94C2×C3×C4×D3—31no—
95C2×C3×C4×D3—31no—
96C2×C3×C4×D3C2×D312yes—
97C2×#626—32no—
98C2×#624—32no—
99C2×D3×Dic3—32no—
100C2×D3×Dic3—32no—
101D3×D12—38no—
102C4×D32—68no—
103C23×D9—32no—
104C32×C42C2×D311yescharacteristic
105#3752—32no—
106C4⋊(C3⋊Dic3)—31no—
107C3×(C2×D3)⋊C4C2×D312yes—
108C3×C4⋊Dic3C2×D311yescharacteristic
109C3×C4×Dic3—31no—
110C3×C4×Dic3—31no—
111C3×C4×Dic3—31no—
112Dic3⋊Dic3—32no—
113#3722—32no—
114(C2×D3)⋊Dic3—32no—
115C2×D4×C9—31no—
116C22×C4×C9—32no—
117C2×#611—32no—
118C22×Dic9—32no—
119D4×D9—38no—
120C2×D36—31no—
121C2×D36—61no—
122C2×C4×D9—32no—
123C2×C4×D9—32no—
124C2×C4×D9—32no—
125C2×C4×D9—68no—
126C2×C4×D9—62no—
127C2×C4×D9C2×D311yescharacteristic
128C2×C4×D9C2×D311yescharacteristic
129C2×C4×D9C2×D311yescharacteristic
130C9×C4⋊C4—31no—
131C9×C22⋊C4—32no—
132C42×C9—21no—
133C42×C9C2×D311yescharacteristic, complemented
134#3676—32no—
135(C2×D9)⋊C4—32no—
136(C2×D9)⋊C4—32no—
137(C2×D9)⋊C4—62no—
138C4⋊Dic9—31no—
139C4⋊Dic9—61no—
140Dic9⋊C4—32no—
141C4×Dic9C2×D311yescharacteristic, complemented
142C4×Dic9C2×D311yescharacteristic, complemented
143C4×Dic9C2×D311yescharacteristic, complemented
144C22×C3×C9C2411yescharacteristic
145C2×C3⋊D9—22no—
146C2×C3⋊D9—22no—
147C2×C3⋊D9C22×C414yescomplemented
148C2×D3×C9—22no—
149C2×D3×C9—22no—
150C2×D3×C9C22×C414yescomplemented
151C2×C3×D9C22×C412yes—
152C2×C3×D9C2×D412yes—
153C2×C3×D9#4112yes—
154D3×D9—216no—
155C3×C4×C9—21no—
156C3×C4×C9C22×C412yescomplemented
157C3×C4×C9C2×D412yescomplemented
158C3⋊Dic9—22no—
159C9×Dic3—22no—
160C3×Dic9—21no—
161C3×Dic9C22×C412yescomplemented
162C3×Dic9C2×D412yescomplemented
163C2×D3×D4—91no—
164C22×D12—91no—
165C22×C4×D3—92no—
166C22×C4×D3—92no—
167C3×C4×D4—31no—
168C2×C3×C42—91no—
169D4×Dic3—91no—
170C4×#67—92no—
171C2×(C2×D3)⋊C4—92no—
172C2×C4⋊Dic3—91no—
173#893—91no—
174D3×C4⋊C4—91no—
175#67⋊C4—92no—
176D3×C22⋊C4—92no—
177C4×D12—91no—
178C4×D12—92no—
179C4×D12—91no—
180C4×D12—91no—
181C4×D12—92no—
182C4×D12—91no—
183C4×D12—181no—
184C4×D12D911yescharacteristic, direct product factor
185C42×D3—31no—
186C22×C3⋊D3—32no—
187C22×C3×D3—31no—
188C22×C3×D3C22×D312yes—
189C2×D32—38no—
190C2×D32—64no—
191C2×D32—64no—
192C2×C32×C4C22×D311yescharacteristic
193C2×C32×C4C22×D311yescharacteristic
194C2×C32×C4C22×D311yescharacteristic
195C2×C3⋊Dic3—32no—
196C4⋊(C3⋊D3)—34no—
197C4×C3⋊D3—64no—
198C2×C3×Dic3—31no—
199C2×C3×Dic3—31no—
200C2×C3×Dic3—31no—
201C2×C3×Dic3C22×D312yes—
202C3×D12C4×D314yes—
203C3×C4×D3—24no—
204C3×C4×D3—34no—
205C3×C4×D3—34no—
206C3×C4×D3—62no—
207#626—38no—
208#624—64no—
209D3×Dic3—64no—
210D3×Dic3—64no—
211C23×C9—32no—
212C22×D9—32no—
213C22×D9—38no—
214C22×D9—62no—
215C22×D9—64no—
216C22×D9—64no—
217C22×D9C22×D311yescharacteristic
218D4×C9—34no—
219C2×C4×C9—21no—
220C2×C4×C9—21no—
221C2×C4×C9—21no—
222C2×C4×C9—32no—
223C2×C4×C9—64no—
224C2×C4×C9C22×D311yescharacteristic
225C2×C4×C9C22×D311yescharacteristic
226C2×C4×C9C22×D311yescharacteristic
227#611—38no—
228C2×Dic9—32no—
229C2×Dic9—62no—
230C2×Dic9—64no—
231C2×Dic9C22×D311yescharacteristic
232C2×Dic9C22×D311yescharacteristic
233C2×Dic9C22×D311yescharacteristic
234D36—34no—
235D36—64no—
236C4×D9—22no—
237C4×D9—64no—
238C4×D9—64no—
239C4×D9—64no—
240C4×D9—124no—
241C4×D9C4×D314yescomplemented
242C4×D9D1214yesdirect product factor
243C2×C4×D4—271noSylow
244C2×C3×C9C23×C411yescharacteristic
245C2×C3×C9C22×D411yescharacteristic
246C2×C3×C9C2×#4111yescharacteristic
247C3⋊D9—24no—
248D3×C9—24no—
249C3×D9C4×D414yescomplemented
250C23×D3—92no—
251C23×D3—92no—
252C2×C3×D4—31no—
253C22×C3×C4—32no—
254C22×C3×C4—91no—
255C22×C3×C4—91no—
256C22×C3×C4—91no—
257C2×#67—92no—
258C22×Dic3—92no—
259C22×Dic3—92no—
260D3×D4—98no—
261C2×D12—92no—
262C2×D12—91no—
263C2×D12—91no—
264C2×D12—98no—
265C2×D12—181no—
266C2×D12C2×D911yescharacteristic
267C2×C4×D3—31no—
268C2×C4×D3—31no—
269C2×C4×D3—31no—
270C2×C4×D3—92no—
271C2×C4×D3—92no—
272C2×C4×D3—92no—
273C2×C4×D3—92no—
274C2×C4×D3—92no—
275C2×C4×D3—92no—
276C2×C4×D3—182no—
277C2×C4×D3—188no—
278C2×C4×D3—188no—
279C2×C4×D3C2×D912yescomplemented
280C3×C4⋊C4—31no—
281C3×C22⋊C4—32no—
282C3×C42—21no—
283C3×C42—91no—
284C3×C42—91no—
285C3×C42—91no—
286C3×C42C2×D911yescharacteristic, complemented
287C3×C42D3211yescharacteristic
288#217—92no—
289(C2×D3)⋊C4—92no—
290(C2×D3)⋊C4—92no—
291(C2×D3)⋊C4—92no—
292(C2×D3)⋊C4—92no—
293(C2×D3)⋊C4—92no—
294(C2×D3)⋊C4—182no—
295(C2×D3)⋊C4C2×D912yescomplemented
296C4⋊Dic3—91no—
297C4⋊Dic3—91no—
298C4⋊Dic3—92no—
299C4⋊Dic3—181no—
300C4⋊Dic3C2×D911yescharacteristic, complemented
301Dic3⋊C4—92no—
302C4×Dic3—31no—
303C4×Dic3—31no—
304C4×Dic3—31no—
305C22×C32C23×D311yescharacteristic
306C2×C3⋊D3—34no—
307C2×C3⋊D3—62no—
308C2×C3⋊D3—62no—
309C2×C3×D3—22no—
310C2×C3×D3—22no—
311C2×C3×D3—32no—
312C2×C3×D3—32no—
313C2×C3×D3—32no—
314C2×C3×D3C2×C4×D314yes—
315D32—616no—
316C32×C4—21no—
317C32×C4C2×C4×D312yes—
318C32×C4D3×D412yes—
319C3⋊Dic3—62no—
320C3×Dic3—22no—
321C3×Dic3—32no—
322C3×Dic3—32no—
323C3×Dic3—61no—
324C22×C9—21no—
325C22×C9—34no—
326C22×C9—62no—
327C22×C9—62no—
328C22×C9C23×D311yescharacteristic
329C2×D9—34no—
330C2×D9—64no—
331C2×D9—62no—
332C2×D9—62no—
333C2×D9—616no—
334C2×D9—122no—
335C2×D9—122no—
336C2×D9C2×C4×D312yes—
337C2×D9C2×D1212yes—
338C2×D9#23512yes—
339C4×C9—21no—
340C4×C9—22no—
341C4×C9—22no—
342C4×C9—41no—
343C4×C9—62no—
344C4×C9C2×C4×D312yescomplemented
345C4×C9C2×D1212yescomplemented
346Dic9—21no—
347Dic9—62no—
348Dic9—122no—
349Dic9C2×C4×D312yescomplemented
350Dic9C2×D1212yescomplemented
351C22×D4—271no—
352C23×C4—272no—
353C4×D4—31no—
354C4×D4—272no—
355C4×D4—271no—
356C4×D4—272no—
357C4×D4—271no—
358C4×D4—271no—
359C2×C4⋊C4—271no—
360C2×C22⋊C4—272no—
361C2×C42—91no—
362C3×C9C2×C4×D411yescharacteristic, complemented, Sylow
363C23×C3—32no—
364C23×C3—91no—
365C22×D3—31no—
366C22×D3—98no—
367C22×D3—92no—
368C22×D3—92no—
369C22×D3—98no—
370C22×D3—182no—
371C22×D3—184no—
372C22×D3—184no—
373C22×D3—184no—
374C22×D3—184no—
375C22×D3C22×D912yes—
376C3×D4—34no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—32no—
381C2×C3×C4—64no—
382C2×C3×C4—91no—
383C2×C3×C4—91no—
384C2×C3×C4—94no—
385C2×C3×C4—94no—
386C2×C3×C4—91no—
387C2×C3×C4—182no—
388C2×C3×C4C22×D911yescharacteristic
389C2×C3×C4C22×D911yescharacteristic
390C2×C3×C4C22×D911yescharacteristic
391C2×C3×C4C2×D3211yescharacteristic
392C2×C3×C4C2×D3211yescharacteristic
393C2×C3×C4C2×D3211yescharacteristic
394#67—98no—
395C2×Dic3—31no—
396C2×Dic3—31no—
397C2×Dic3—31no—
398C2×Dic3—92no—
399C2×Dic3—92no—
400C2×Dic3—182no—
401C2×Dic3—184no—
402C2×Dic3—184no—
403C2×Dic3C22×D912yes—
404D12—98no—
405D12—94no—
406D12—94no—
407D12—184no—
408D12C4×D914yesdirect product factor
409C4×D3—24no—
410C4×D3—34no—
411C4×D3—34no—
412C4×D3—62no—
413C4×D3—184no—
414C4×D3—184no—
415C4×D3—184no—
416C4×D3—184no—
417C4×D3—184no—
418C4×D3—184no—
419C4×D3—364no—
420C2×C32C22×C4×D311yescharacteristic
421C2×C32C2×D3×D411yescharacteristic
422C2×C32D3×#4111yescharacteristic
423C3⋊D3—64no—
424C3×D3—24no—
425C3×D3—34no—
426C2×C9—21no—
427C2×C9—21no—
428C2×C9—21no—
429C2×C9—64no—
430C2×C9C22×C4×D311yescharacteristic
431C2×C9C22×D1211yescharacteristic
432C2×C9C2×#23511yescharacteristic
433D9—64no—
434D9—124no—
435D9C4×D1214yesdirect product factor
436C24—272no—
437C2×D4—31no—
438C2×D4—278no—
439C2×D4—272no—
440C2×D4—271no—
441C22×C4—32no—
442C22×C4—91no—
443C22×C4—91no—
444C22×C4—91no—
445C22×C4—272no—
446C22×C4—272no—
447C22×C4—272no—
448C22×C4—272no—
449C22×C4—548no—
450C4⋊C4—31no—
451C4⋊C4—272no—
452C4⋊C4—271no—
453C22⋊C4—32no—
454C22⋊C4—272no—
455C22⋊C4—272no—
456C22⋊C4—272no—
457C42—91no—
458C42—91no—
459C42—91no—
460C42D3×D911yescharacteristic, complemented
461C22×C3—21no—
462C22×C3—34no—
463C22×C3—62no—
464C22×C3—62no—
465C22×C3—92no—
466C22×C3—92no—
467C22×C3—92no—
468C22×C3C23×D911yescharacteristic
469C22×C3C22×D3211yescharacteristic
470C2×D3—22no—
471C2×D3—22no—
472C2×D3—32no—
473C2×D3—32no—
474C2×D3—32no—
475C2×D3—94no—
476C2×D3—94no—
477C2×D3—184no—
478C2×D3—1816no—
479C2×D3—1816no—
480C2×D3—182no—
481C2×D3—182no—
482C2×D3—182no—
483C2×D3—182no—
484C2×D3—362no—
485C2×D3—362no—
486C2×D3C2×C4×D914yescomplemented
487C3×C4—21no—
488C3×C4—21no—
489C3×C4—22no—
490C3×C4—22no—
491C3×C4—41no—
492C3×C4—62no—
493C3×C4—92no—
494C3×C4—92no—
495C3×C4—181no—
496C3×C4C2×C4×D912yescomplemented
497C3×C4D4×D912yescomplemented
498C3×C4C4×D3212yes—
499C3×C4D3×D1212yes—
500Dic3—22no—
501Dic3—32no—
502Dic3—32no—
503Dic3—61no—
504Dic3—182no—
505Dic3—182no—
506Dic3—362no—
507C32C4×D3×D411yescharacteristic
508C9—21no—
509C9C2×C4×D1211yescharacteristic, complemented
510C23—32no—
511C23—91no—
512C23—278no—
513C23—272no—
514C23—544no—
515C23—544no—
516D4—34no—
517D4—278no—
518D4—274no—
519C2×C4—32no—
520C2×C4—64no—
521C2×C4—91no—
522C2×C4—91no—
523C2×C4—94no—
524C2×C4—94no—
525C2×C4—91no—
526C2×C4—182no—
527C2×C4—272no—
528C2×C4—544no—
529C2×C4—544no—
530C2×C4—544no—
531C2×C4—544no—
532C2×C4C2×D3×D911yescharacteristic
533C2×C4C2×D3×D911yescharacteristic
534C2×C4C2×D3×D911yescharacteristic
535C2×C3—21no—
536C2×C3—21no—
537C2×C3—21no—
538C2×C3—64no—
539C2×C3—94no—
540C2×C3C22×C4×D911yescharacteristic
541C2×C3C2×D4×D911yescharacteristic
542C2×C3#41×D911yescharacteristic
543C2×C3C2×C4×D3211yescharacteristic
544C2×C3C2×D3×D1211yescharacteristic
545C2×C3D3×#23511yescharacteristic
546D3—24no—
547D3—34no—
548D3—184no—
549D3—184no—
550D3—364no—
551C22—34no—
552C22—62no—
553C22—62no—
554C22—92no—
555C22—92no—
556C22—92no—
557C22—274no—
558C22—5416no—
559C22—542no—
560C22—542no—
561C22C22×D3×D911yescharacteristic
562C4—21no—
563C4—62no—
564C4—92no—
565C4—92no—
566C4—181no—
567C4—542no—
568C4C4×D3×D912yescomplemented
569C4D9×D1212yesdirect product factor
570C3—21no—
571C3C4×D4×D911yescharacteristic, complemented
572C3C4×D3×D1211yescharacteristic
573C2—64no—
574C2—94no—
575C2—544no—
576C2C2×C4×D3×D911yescharacteristic
577C2C2×D9×D1211yescharacteristic
578C2D9×#23511yescharacteristic
subgroupG/H
centerC2×C4C2×D3×D9
commutatorC2×C3×C9C23×C4
FrattiniC22×C3C22×D32
FittingC3×C42×C9C22
socleC22×C32C23×D3
prime radicalC2×D9×D12C2
cosocleC22×C3×C9C24
hypercenterC42D3×D9
hypocenterC3×C9C2×C4×D4
LCSG ▷ C2×C3×C9 ▷ C3×C9
UCSC1 ◁ C2×C4 ◁ C42

Complements

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

NH ≅ G/Ntype
2. C2×C4×D3×D9C2semidirect
3. C4×C4⋊(C3⋊D9)C2semidirect
4. C4×C9×D12C2semidirect
5. C3×C42×D9C2semidirect
6. D9×(C2×D3)⋊C4C2semidirect
7. C4×#6195C2semidirect
8. D12×Dic9C2semidirect
9. #11721013C2semidirect
10. #11720992C2semidirect
11. D9×C4⋊Dic3C2semidirect
16. C2×C4×C3⋊D9C22semidirect
18. C2×C4×D3×C9C22semidirect
23. C2×D3×Dic9C22semidirect
24. C2×(C3⋊D9)⋊C4C22semidirect
26. D9×D12C4direct (N × H)
28. C3×C42×C9C22semidirect
29. #88536C22semidirect
30. C4⋊(C3⋊Dic9)C22semidirect
31. C9×(C2×D3)⋊C4C22semidirect
32. C9×C4⋊Dic3C22semidirect
33. C3×C4×Dic9C22semidirect
34. C3×C4×Dic9C22semidirect
35. C3×C4×Dic9C22semidirect
36. (C2×D3)⋊Dic9C22semidirect
37. #88445C22semidirect
38. Dic9⋊Dic3C22semidirect
61. C42×D9D3semidirect
67. C2×D3×D9C2×C4semidirect
72. C4⋊(C3⋊D9)C2×C4semidirect
78. C9×D12C2×C4semidirect
81. C3×C4×D9C2×C4semidirect
82. C3×C4×D9D4semidirect
83. #6195C2×C4semidirect
133. C42×C9C2×D3semidirect
141. C4×Dic9C2×D3semidirect
142. C4×Dic9C2×D3semidirect
143. C4×Dic9C2×D3semidirect
147. C2×C3⋊D9C22×C4semidirect
150. C2×D3×C9C22×C4semidirect
156. C3×C4×C9C22×C4semidirect
157. C3×C4×C9C2×D4semidirect
161. C3×Dic9C22×C4semidirect
162. C3×Dic9C2×D4semidirect
184. C4×D12D9direct (N × H)
241. C4×D9C4×D3semidirect
242. C4×D9D12direct (N × H)
249. C3×D9C4×D4semidirect
279. C2×C4×D3C2×D9semidirect
286. C3×C42C2×D9semidirect
295. (C2×D3)⋊C4C2×D9semidirect
300. C4⋊Dic3C2×D9semidirect
344. C4×C9C2×C4×D3semidirect
345. C4×C9C2×D12semidirect
349. Dic9C2×C4×D3semidirect
350. Dic9C2×D12semidirect
362. C3×C9C2×C4×D4semidirect
408. D12C4×D9direct (N × H)
435. D9C4×D12direct (N × H)
460. C42D3×D9semidirect
486. C2×D3C2×C4×D9semidirect
496. C3×C4C2×C4×D9semidirect
497. C3×C4D4×D9semidirect
509. C9C2×C4×D12semidirect
568. C4C4×D3×D9semidirect
569. C4D9×D12direct (N × H)
571. C3C4×D4×D9semidirect

Maximal subgroups

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

subgroupindex
C2×D9×D122
C2×C4×D3×D92
C4×C4⋊(C3⋊D9)2
C4×C9×D122
C3×C42×D92
D9×(C2×D3)⋊C42
C4×#61952
D12×Dic92
#117210132
#117209922
D9×C4⋊Dic32
C4×D3×D123
C4×D4×D93