Finite Group Databasebeta

← C2×C3×#63923 #13174668

Subgroups — C2×C3×#63923 #13174668

Order 1728.

3202 conjugacy classes of subgroups.

The subgroup lattice has 588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C3×D32C211yesmaximal, characteristic, complemented
2C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C22×C3×#626C212yesmaximal, complemented
4C2×C32×(C2×D3)⋊C4C212yesmaximal, complemented
5C2×C3×#3722C211yesmaximal, characteristic, complemented
6C3×#63923C218yesmaximal, direct product factor
7C2×C3×#882—32nomaximal
8C2×#63923C311yesmaximal, characteristic, direct product factor
9C23×C3×C3⋊D3C2211yescharacteristic
10C23×C3×C3⋊D3C2211yescharacteristic, complemented
11C23×C32×D3C2212yes—
12C22×C3×D32—24no—
13C22×C3×D32—28no—
14C22×C3×D32C2214yescomplemented
15C22×C33×C4C2211yescharacteristic, complemented
16C2×C3×C4⋊(C3⋊D3)—24no—
17C2×C3×C4⋊(C3⋊D3)C2214yescomplemented
18C22×C32×Dic3C2212yescomplemented
19C2×C3×#626—28no—
20C2×C3×#626C2218yescomplemented
21C32×(C2×D3)⋊C4C2218yescomplemented
22C3×#3722C2214yescomplemented
23C24×C3×D3—32no—
24C23×D32C2×C311yescharacteristic, complemented
25C22×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
26C22×C3×#67—32no—
27C22×C3×D12—32no—
28C22×C3×D12—32no—
29C22×C3×D12—61no—
30C22×#626C2×C312yescomplemented
31C2×C32×C22⋊C4—32no—
32C2×C3×(C2×D3)⋊C4—22no—
33C2×C3×(C2×D3)⋊C4—32no—
34C2×C3×(C2×D3)⋊C4D312yescomplemented
35C2×C3×(C2×D3)⋊C4C2×C312yescomplemented
36C3×#882—316no—
37C2×#3722C2×C311yescharacteristic, complemented
38#63923C2×C318yesdirect product factor
39C23×C33C2311yescharacteristic
40C22×C3×C3⋊D3—24no—
41C22×C3×C3⋊D3—22no—
42C22×C3×C3⋊D3—24no—
43C22×C3×C3⋊D3D414yescomplemented
44C22×C3×C3⋊D3C2312yes—
45C22×C3×C3⋊D3C2312yescomplemented
46C22×C32×D3—24no—
47C22×C32×D3—24no—
48C22×C32×D3D418yescomplemented
49C22×C32×D3C2314yes—
50C2×C3×D32—232no—
51C2×C3×D32—28no—
52C2×C3×D32—216no—
53C2×C33×C4—22no—
54C2×C33×C4C2312yescomplemented
55C3×C4⋊(C3⋊D3)—28no—
56C2×C32×Dic3—24no—
57C2×C32×Dic3C2314yescomplemented
58C3×#626—216no—
59C2×C3×#120—91no—
60C2×#882—32no—
61C24×C32—32no—
62C23×C3⋊D3C22×C311yescharacteristic
63C23×C3⋊D3C22×C311yescharacteristic, complemented
64C23×C3×D3—22no—
65C23×C3×D3—32no—
66C23×C3×D3—32no—
67C23×C3×D3—38no—
68C23×C3×D3—68no—
69C23×C3×D3—68no—
70C23×C3×D3—68no—
71C23×C3×D3—61no—
72C23×C3×D3—61no—
73C23×C3×D3C2×D312yes—
74C23×C3×D3C22×C312yes—
75C22×D32—24no—
76C22×D32—28no—
77C22×D32C22×C314yescomplemented
78C22×C32×C4—21no—
79C22×C32×C4—22no—
80C22×C32×C4—32no—
81C22×C32×C4—41no—
82C22×C32×C4C2×D312yescomplemented
83C22×C32×C4C22×C311yescharacteristic, complemented
84C2×C4⋊(C3⋊D3)—24no—
85C2×C4⋊(C3⋊D3)C22×C314yescomplemented
86C2×C3×#67—38no—
87C2×C3×#67—68no—
88C22×C3×Dic3—22no—
89C22×C3×Dic3C2×D312yescomplemented
90C22×C3×Dic3C22×C312yescomplemented
91C2×C3×D12—38no—
92C2×C3×D12—38no—
93C2×C3×D12—68no—
94C2×C3×D12—64no—
95C2×C3×D12—68no—
96C2×C3×D12—68no—
97C2×#626—28no—
98C2×#626C22×C318yescomplemented
99C32×C22⋊C4—38no—
100C3×(C2×D3)⋊C4—28no—
101C3×(C2×D3)⋊C4—38no—
102C3×(C2×D3)⋊C4C2×D318yescomplemented
103C3×(C2×D3)⋊C4C22×C318yescomplemented
104#3722C22×C314yescomplemented
105C22×C33C2×D414yes—
106C22×C33C2×D412yes—
107C22×C33C2411yescharacteristic
108C2×C3×C3⋊D3—28no—
109C2×C3×C3⋊D3—24no—
110C2×C3×C3⋊D3—22no—
111C2×C3×C3⋊D3—24no—
112C2×C3×C3⋊D3—44no—
113C2×C3×C3⋊D3C2×D414yescomplemented
114C2×C32×D3—216no—
115C2×C32×D3—24no—
116C2×C32×D3—24no—
117C2×C32×D3C2×D418yescomplemented
118C3×D32—232no—
119C33×C4—22no—
120C32×Dic3—24no—
121C25×C3—91no—
122C24×D3—32no—
123C22×C3×D4—92no—
124C22×C3×D4—91no—
125C22×#67—32no—
126C22×D12—32no—
127C22×D12—32no—
128C22×D12—61no—
129C3×#120—98no—
130C2×C3×C22⋊C4—32no—
131C2×C3×C22⋊C4—32no—
132C2×C3×C22⋊C4—62no—
133C2×C3×C22⋊C4—91no—
134C2×(C2×D3)⋊C4—32no—
135C2×(C2×D3)⋊C4C3×D312yescomplemented
136#882—316no—
137C23×C32—21no—
138C23×C32—22no—
139C23×C32—38no—
140C23×C32—34no—
141C23×C32—41no—
142C23×C32—64no—
143C23×C32—64no—
144C23×C32C22×D312yes—
145C23×C32C23×C311yescharacteristic
146C22×C3⋊D3—22no—
147C22×C3⋊D3—24no—
148C22×C3⋊D3—24no—
149C22×C3⋊D3C3×D414yescomplemented
150C22×C3⋊D3C23×C312yes—
151C22×C3⋊D3C23×C312yescomplemented
152C22×C3×D3—24no—
153C22×C3×D3—24no—
154C22×C3×D3—24no—
155C22×C3×D3—24no—
156C22×C3×D3—28no—
157C22×C3×D3—24no—
158C22×C3×D3—38no—
159C22×C3×D3—34no—
160C22×C3×D3—34no—
161C22×C3×D3—44no—
162C22×C3×D3—44no—
163C22×C3×D3—64no—
164C22×C3×D3—62no—
165C22×C3×D3—62no—
166C22×C3×D3—616no—
167C22×C3×D3—616no—
168C22×C3×D3—664no—
169C22×C3×D3—64no—
170C22×C3×D3—64no—
171C22×C3×D3—616no—
172C22×C3×D3—64no—
173C22×C3×D3—64no—
174C22×C3×D3—64no—
175C22×C3×D3—64no—
176C22×C3×D3—124no—
177C22×C3×D3—124no—
178C22×C3×D3D1218yescomplemented
179C22×C3×D3C3×D418yescomplemented
180C22×C3×D3C22×D314yes—
181C22×C3×D3C23×C314yes—
182C2×D32—232no—
183C2×D32—28no—
184C2×D32—216no—
185C2×C32×C4—22no—
186C2×C32×C4—24no—
187C2×C32×C4—24no—
188C2×C32×C4—22no—
189C2×C32×C4—24no—
190C2×C32×C4—34no—
191C2×C32×C4—42no—
192C2×C32×C4—44no—
193C2×C32×C4—44no—
194C2×C32×C4—64no—
195C2×C32×C4C22×D314yescomplemented
196C2×C32×C4C23×C312yescomplemented
197C4⋊(C3⋊D3)—28no—
198C3×#67—616no—
199C2×C3×Dic3—24no—
200C2×C3×Dic3—24no—
201C2×C3×Dic3—24no—
202C2×C3×Dic3—44no—
203C2×C3×Dic3C22×D314yescomplemented
204C2×C3×Dic3C23×C314yescomplemented
205C3×D12—616no—
206C3×D12—616no—
207C3×D12—616no—
208#626—216no—
209C2×#120—91noSylow
210C2×C33#12014yescomplemented
211C2×C33C22×D412yes—
212C2×C33C22×D411yescharacteristic
213C3×C3⋊D3—24no—
214C3×C3⋊D3—42no—
215C32×D3—28no—
216C24×C3—32no—
217C24×C3—32no—
218C24×C3—62no—
219C24×C3—94no—
220C24×C3—91no—
221C24×C3—91no—
222C24×C3—188no—
223C24×C3—184no—
224C23×D3—32no—
225C23×D3—32no—
226C23×D3—38no—
227C23×D3—61no—
228C23×D3—61no—
229C23×D3—68no—
230C23×D3—68no—
231C23×D3—68no—
232C23×D3C2×C3×D312yes—
233C2×C3×D4—98no—
234C2×C3×D4—94no—
235C2×C3×D4—184no—
236C2×C3×D4—188no—
237C22×C3×C4—21no—
238C22×C3×C4—22no—
239C22×C3×C4—32no—
240C22×C3×C4—32no—
241C22×C3×C4—41no—
242C22×C3×C4—62no—
243C22×C3×C4D3211yescharacteristic, complemented
244C22×C3×C4C2×C3×D312yescomplemented
245C2×#67—38no—
246C2×#67—68no—
247C22×Dic3C2×C3×D312yescomplemented
248C2×D12—38no—
249C2×D12—38no—
250C2×D12—64no—
251C2×D12—68no—
252C2×D12—68no—
253C2×D12—68no—
254C3×C22⋊C4—38no—
255C3×C22⋊C4—38no—
256C3×C22⋊C4—68no—
257C3×C22⋊C4—94no—
258(C2×D3)⋊C4—38no—
259(C2×D3)⋊C4C2×C3×D318yescomplemented
260C22×C32—21no—
261C22×C32—22no—
262C22×C32—24no—
263C22×C32—22no—
264C22×C32—24no—
265C22×C32—24no—
266C22×C32—24no—
267C22×C32—38no—
268C22×C32—42no—
269C22×C32—44no—
270C22×C32—41no—
271C22×C32—616no—
272C22×C32—64no—
273C22×C32—64no—
274C22×C32C2×D1214yes—
275C22×C32D3×D414yes—
276C22×C32D3×D414yes—
277C22×C32C2×C3×D414yes—
278C22×C32C2×C3×D412yes—
279C22×C32C23×D312yes—
280C22×C32C24×C311yescharacteristic
281C2×C3⋊D3—22no—
282C2×C3⋊D3—28no—
283C2×C3⋊D3—24no—
284C2×C3⋊D3—24no—
285C2×C3⋊D3—44no—
286C2×C3⋊D3C2×C3×D414yescomplemented
287C2×C3×D3—216no—
288C2×C3×D3—216no—
289C2×C3×D3—24no—
290C2×C3×D3—24no—
291C2×C3×D3—24no—
292C2×C3×D3—24no—
293C2×C3×D3—28no—
294C2×C3×D3—38no—
295C2×C3×D3—416no—
296C2×C3×D3—44no—
297C2×C3×D3—44no—
298C2×C3×D3—64no—
299C2×C3×D3—664no—
300C2×C3×D3—616no—
301C2×C3×D3—64no—
302C2×C3×D3—64no—
303C2×C3×D3—64no—
304C2×C3×D3—64no—
305C2×C3×D3—64no—
306C2×C3×D3—64no—
307C2×C3×D3—124no—
308C2×C3×D3—128no—
309C2×C3×D3—124no—
310C2×C3×D3—128no—
311C2×C3×D3—128no—
312C2×C3×D3C2×D1218yescomplemented
313C2×C3×D3C2×C3×D418yescomplemented
314D32—232no—
315C32×C4—22no—
316C32×C4—24no—
317C32×C4—24no—
318C32×C4—44no—
319C32×C4—44no—
320C32×C4—64no—
321C3×Dic3—24no—
322C3×Dic3—24no—
323C3×Dic3—44no—
324C25—91no—
325C22×D4—92no—
326C22×D4—91no—
327#120—98no—
328C2×C22⋊C4—32no—
329C2×C22⋊C4—91no—
330C33C2×#12011yescharacteristic, complemented, Sylow
331C23×C3—22no—
332C23×C3—21no—
333C23×C3—34no—
334C23×C3—34no—
335C23×C3—38no—
336C23×C3—38no—
337C23×C3—41no—
338C23×C3—64no—
339C23×C3—68no—
340C23×C3—64no—
341C23×C3—64no—
342C23×C3—64no—
343C23×C3—64no—
344C23×C3—92no—
345C23×C3—94no—
346C23×C3—92no—
347C23×C3—124no—
348C23×C3—124no—
349C23×C3—1816no—
350C23×C3—188no—
351C23×C3—1832no—
352C23×C3—184no—
353C23×C3—184no—
354C23×C3—182no—
355C23×C3C2×D3211yescharacteristic
356C23×C3C22×C3×D312yes—
357C22×D3—24no—
358C22×D3—24no—
359C22×D3—34no—
360C22×D3—38no—
361C22×D3—34no—
362C22×D3—64no—
363C22×D3—62no—
364C22×D3—62no—
365C22×D3—616no—
366C22×D3—616no—
367C22×D3—664no—
368C22×D3—64no—
369C22×D3—64no—
370C22×D3—616no—
371C22×D3—64no—
372C22×D3—64no—
373C22×D3—64no—
374C22×D3—64no—
375C22×D3—124no—
376C22×D3—124no—
377C22×D3C3×D1218yescomplemented
378C22×D3C22×C3×D314yes—
379C3×D4—188no—
380C3×D4—1816no—
381C2×C3×C4—24no—
382C2×C3×C4—22no—
383C2×C3×C4—24no—
384C2×C3×C4—22no—
385C2×C3×C4—24no—
386C2×C3×C4—34no—
387C2×C3×C4—34no—
388C2×C3×C4—44no—
389C2×C3×C4—44no—
390C2×C3×C4—42no—
391C2×C3×C4—64no—
392C2×C3×C4—64no—
393C2×C3×C4—64no—
394C2×C3×C4—124no—
395C2×C3×C4C2×D3212yescomplemented
396C2×C3×C4C22×C3×D314yescomplemented
397#67—616no—
398C2×Dic3—24no—
399C2×Dic3C22×C3×D314yescomplemented
400D12—616no—
401D12—616no—
402D12—616no—
403C2×C32—28no—
404C2×C32—22no—
405C2×C32—21no—
406C2×C32—22no—
407C2×C32—22no—
408C2×C32—22no—
409C2×C32—24no—
410C2×C32—44no—
411C2×C32—41no—
412C2×C32—42no—
413C2×C32—68no—
414C2×C32#88218yescomplemented
415C2×C32C3×#12014yescomplemented
416C2×C32C22×D1212yes—
417C2×C32C2×D3×D412yes—
418C2×C32C2×D3×D412yes—
419C2×C32C22×C3×D412yes—
420C2×C32C22×C3×D411yescharacteristic
421C3⋊D3—24no—
422C3⋊D3—42no—
423C3×D3—28no—
424C3×D3—28no—
425C3×D3—48no—
426C3×D3—68no—
427C3×D3—124no—
428C3×D3—124no—
429C3×D3—124no—
430C24—32no—
431C24—94no—
432C24—91no—
433C24—91no—
434C24—188no—
435C24—184no—
436C2×D4—98no—
437C2×D4—94no—
438C2×D4—184no—
439C2×D4—188no—
440C22×C4—32no—
441C22×C4C3×D3211yescharacteristic, complemented
442C22⋊C4—38no—
443C22⋊C4—94no—
444C22×C3—22no—
445C22×C3—21no—
446C22×C3—24no—
447C22×C3—24no—
448C22×C3—24no—
449C22×C3—22no—
450C22×C3—24no—
451C22×C3—38no—
452C22×C3—38no—
453C22×C3—41no—
454C22×C3—44no—
455C22×C3—42no—
456C22×C3—68no—
457C22×C3—616no—
458C22×C3—64no—
459C22×C3—64no—
460C22×C3—64no—
461C22×C3—64no—
462C22×C3—616no—
463C22×C3—94no—
464C22×C3—124no—
465C22×C3—1216no—
466C22×C3—124no—
467C22×C3—1832no—
468C22×C3—184no—
469C22×C3—188no—
470C22×C3—184no—
471C22×C3—182no—
472C22×C3—364no—
473C22×C3D3×D1214yes—
474C22×C3#381112yes—
475C22×C3C2×C3×D1214yes—
476C22×C3C3×D3×D414yes—
477C22×C3C3×D3×D414yes—
478C22×C3C22×D3211yescharacteristic
479C22×C3C23×C3×D312yes—
480C2×D3—216no—
481C2×D3—24no—
482C2×D3—24no—
483C2×D3—38no—
484C2×D3—64no—
485C2×D3—664no—
486C2×D3—616no—
487C2×D3—64no—
488C2×D3—64no—
489C2×D3—64no—
490C2×D3—64no—
491C2×D3—64no—
492C2×D3—64no—
493C2×D3—128no—
494C2×D3—124no—
495C2×D3—124no—
496C2×D3—128no—
497C2×D3—128no—
498C2×D3C2×C3×D1218yescomplemented
499C3×C4—24no—
500C3×C4—22no—
501C3×C4—24no—
502C3×C4—44no—
503C3×C4—44no—
504C3×C4—64no—
505C3×C4—64no—
506C3×C4—124no—
507Dic3—24no—
508C32—22no—
509C32—21no—
510C32—41no—
511C32C2×#88212yescomplemented
512C32C2×C3×#12011yescharacteristic, complemented
513C23—34no—
514C23—38no—
515C23—64no—
516C23—64no—
517C23—92no—
518C23—94no—
519C23—92no—
520C23—1816no—
521C23—188no—
522C23—1832no—
523C23—184no—
524C23—184no—
525C23—182no—
526C23C2×C3×D3211yescharacteristic
527D4—188no—
528D4—1816no—
529C2×C4—22no—
530C2×C4—34no—
531C2×C4—64no—
532C2×C4C2×C3×D3212yescomplemented
533C2×C3—21no—
534C2×C3—22no—
535C2×C3—24no—
536C2×C3—28no—
537C2×C3—22no—
538C2×C3—22no—
539C2×C3—22no—
540C2×C3—41no—
541C2×C3—44no—
542C2×C3—42no—
543C2×C3—68no—
544C2×C3—68no—
545C2×C3—128no—
546C2×C3—184no—
547C2×C3—362no—
548C2×C3#6392314yesdirect product factor
549C2×C3C3×#88218yescomplemented
550C2×C3C2×D3×D1212yes—
551C2×C3C2×#381111yescharacteristic
552C2×C3C22×C3×D1212yes—
553C2×C3C2×C3×D3×D412yes—
554C2×C3C2×C3×D3×D412yes—
555D3—28no—
556D3—68no—
557D3—124no—
558D3—124no—
559D3—124no—
560C22—38no—
561C22—64no—
562C22—616no—
563C22—64no—
564C22—94no—
565C22—1832no—
566C22—188no—
567C22—184no—
568C22—182no—
569C22—184no—
570C22—364no—
571C22C3×D3×D1214yes—
572C22C3×#381112yes—
573C22C22×C3×D3211yescharacteristic
574C4—22no—
575C4—64no—
576C3—21no—
577C3—22no—
578C3—41no—
579C3C2×#6392311yescharacteristic, direct product factor
580C3C2×C3×#88212yescomplemented
581C2—68no—
582C2—184no—
583C2—362no—
584C2C3×#6392314yesdirect product factor
585C2C2×C3×D3×D1212yes—
586C2C2×C3×#381111yescharacteristic
subgroupG/H
centerC23×C3C2×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC23×C33C23
hypercenterC22×C3×C4D32
hypocenterC32C2×C3×#120
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C23×C3×D32C2semidirect
2. C22×C3×C4⋊(C3⋊D3)C2semidirect
3. C22×C3×#626C2semidirect
4. C2×C32×(C2×D3)⋊C4C2semidirect
5. C2×C3×#3722C2semidirect
6. C3×#63923C2direct (N × H)
8. C2×#63923C3direct (N × H)
10. C23×C3×C3⋊D3C22semidirect
14. C22×C3×D32C22semidirect
15. C22×C33×C4C22semidirect
17. C2×C3×C4⋊(C3⋊D3)C22semidirect
18. C22×C32×Dic3C22semidirect
20. C2×C3×#626C22semidirect
21. C32×(C2×D3)⋊C4C22semidirect
22. C3×#3722C22semidirect
24. C23×D32C2×C3semidirect
25. C22×C4⋊(C3⋊D3)C2×C3semidirect
30. C22×#626C2×C3semidirect
34. C2×C3×(C2×D3)⋊C4D3semidirect
35. C2×C3×(C2×D3)⋊C4C2×C3semidirect
37. C2×#3722C2×C3semidirect
38. #63923C2×C3direct (N × H)
43. C22×C3×C3⋊D3D4semidirect
45. C22×C3×C3⋊D3C23semidirect
48. C22×C32×D3D4semidirect
54. C2×C33×C4C23semidirect
57. C2×C32×Dic3C23semidirect
63. C23×C3⋊D3C22×C3semidirect
77. C22×D32C22×C3semidirect
82. C22×C32×C4C2×D3semidirect
83. C22×C32×C4C22×C3semidirect
85. C2×C4⋊(C3⋊D3)C22×C3semidirect
89. C22×C3×Dic3C2×D3semidirect
90. C22×C3×Dic3C22×C3semidirect
98. C2×#626C22×C3semidirect
102. C3×(C2×D3)⋊C4C2×D3semidirect
103. C3×(C2×D3)⋊C4C22×C3semidirect
104. #3722C22×C3semidirect
113. C2×C3×C3⋊D3C2×D4semidirect
117. C2×C32×D3C2×D4semidirect
135. C2×(C2×D3)⋊C4C3×D3semidirect
149. C22×C3⋊D3C3×D4semidirect
151. C22×C3⋊D3C23×C3semidirect
178. C22×C3×D3D12semidirect
179. C22×C3×D3C3×D4semidirect
195. C2×C32×C4C22×D3semidirect
196. C2×C32×C4C23×C3semidirect
203. C2×C3×Dic3C22×D3semidirect
204. C2×C3×Dic3C23×C3semidirect
210. C2×C33#120semidirect
243. C22×C3×C4D32semidirect
244. C22×C3×C4C2×C3×D3semidirect
247. C22×Dic3C2×C3×D3semidirect
259. (C2×D3)⋊C4C2×C3×D3semidirect
286. C2×C3⋊D3C2×C3×D4semidirect
312. C2×C3×D3C2×D12semidirect
313. C2×C3×D3C2×C3×D4semidirect
330. C33C2×#120semidirect
377. C22×D3C3×D12semidirect
395. C2×C3×C4C2×D32semidirect
396. C2×C3×C4C22×C3×D3semidirect
399. C2×Dic3C22×C3×D3semidirect
414. C2×C32#882semidirect
415. C2×C32C3×#120semidirect
441. C22×C4C3×D32semidirect
498. C2×D3C2×C3×D12semidirect
511. C32C2×#882semidirect
512. C32C2×C3×#120semidirect
532. C2×C4C2×C3×D32semidirect
548. C2×C3#63923direct (N × H)
549. C2×C3C3×#882semidirect
579. C3C2×#63923direct (N × H)
580. C3C2×C3×#882semidirect
584. C2C3×#63923direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C3×D322
C22×C3×C4⋊(C3⋊D3)2
C22×C3×#6262
C2×C32×(C2×D3)⋊C42
C2×C3×#37222
C3×#639232
C2×C3×#8823
C2×#639233