Finite Group Databasebeta

← C2×C3×#63845 #13174372

Subgroups — C2×C3×#63845 #13174372

Order 1728.

1234 conjugacy classes of subgroups.

The subgroup lattice has 604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4⋊(C3⋊Dic3)C211yesmaximal, characteristic
2C2×C32×Dic3⋊C4C211yesmaximal, characteristic
3C2×C32×Dic3⋊C4C211yesmaximal, characteristic
4C2×C3×#3724C211yesmaximal, characteristic
5C2×C3×Dic3⋊Dic3C211yesmaximal, characteristic
6C2×C3×Dic3⋊Dic3C211yesmaximal, characteristic
7C2×C3×Dic32C211yesmaximal, characteristic
8C3×#63845C218yesmaximal, direct product factor
9C2×C3×#890—31nomaximal
10C2×C3×#889—31nomaximal
11C2×#63845C311yesmaximal, characteristic, direct product factor
12C22×C33×C4C2211yescharacteristic
13C22×C3×C3⋊Dic3C2211yescharacteristic
14C22×C3×C3⋊Dic3C2211yescharacteristic
15C22×C32×Dic3C2211yescharacteristic
16C22×C32×Dic3C2211yescharacteristic
17C22×C32×Dic3C2211yescharacteristic
18C22×C32×Dic3C2211yescharacteristic
19C3×C4⋊(C3⋊Dic3)C2214yes—
20C32×Dic3⋊C4C2214yes—
21C32×Dic3⋊C4C2214yes—
22C3×#3724C2214yes—
23C3×Dic3⋊Dic3C2214yes—
24C3×Dic3⋊Dic3C2214yes—
25C3×Dic32C2214yes—
26C2×C32×C4⋊C4—31no—
27C2×C32×C4⋊C4—31no—
28C2×C4⋊(C3⋊Dic3)C2×C311yescharacteristic
29C2×C3×C4⋊Dic3—31no—
30C2×C3×C4⋊Dic3—31no—
31C2×C3×C4⋊Dic3—31no—
32C2×C3×C4⋊Dic3—31no—
33C2×C3×C4⋊Dic3—61no—
34C2×C3×Dic3⋊C4—21no—
35C2×C3×Dic3⋊C4—21no—
36C2×C3×Dic3⋊C4—31no—
37C2×C3×Dic3⋊C4—31no—
38C2×C3×Dic3⋊C4—31no—
39C2×C3×Dic3⋊C4—31no—
40C2×C3×Dic3⋊C4D311yescharacteristic
41C2×C3×Dic3⋊C4D311yescharacteristic
42C2×C3×Dic3⋊C4C2×C311yescharacteristic
43C2×C3×Dic3⋊C4C2×C311yescharacteristic
44C2×C3×C4×Dic3—31no—
45C2×C3×C4×Dic3—31no—
46C3×#890—38no—
47C3×#889—38no—
48C2×#3724C2×C311yescharacteristic
49C2×Dic3⋊Dic3C2×C311yescharacteristic
50C2×Dic3⋊Dic3C2×C311yescharacteristic
51C2×Dic32C2×C311yescharacteristic
52#63845C2×C318yesdirect product factor
53C23×C33C2311yescharacteristic
54C2×C33×C4—22no—
55C2×C33×C4C2312yes—
56C2×C3×C3⋊Dic3—22no—
57C2×C3×C3⋊Dic3—22no—
58C2×C3×C3⋊Dic3C2312yes—
59C2×C3×C3⋊Dic3C2312yes—
60C2×C32×Dic3—22no—
61C2×C32×Dic3—22no—
62C2×C32×Dic3—22no—
63C2×C32×Dic3Q814yes—
64C2×C32×Dic3C2312yes—
65C2×C32×Dic3C2312yes—
66C2×C32×Dic3C2312yes—
67C2×C32×Dic3C2312yes—
68C2×C3×#125—91no—
69C2×#890—31no—
70C2×#889—31no—
71C22×C32×C4—21no—
72C22×C32×C4—21no—
73C22×C32×C4—21no—
74C22×C32×C4—31no—
75C22×C32×C4—31no—
76C22×C32×C4—31no—
77C22×C32×C4—31no—
78C22×C32×C4—41no—
79C22×C32×C4C2×D311yescharacteristic
80C22×C32×C4C2×D311yescharacteristic
81C22×C32×C4C22×C311yescharacteristic
82C22×C3⋊Dic3C22×C311yescharacteristic
83C22×C3⋊Dic3C22×C311yescharacteristic
84C22×C3×Dic3—21no—
85C22×C3×Dic3—21no—
86C22×C3×Dic3—21no—
87C22×C3×Dic3—21no—
88C22×C3×Dic3—31no—
89C22×C3×Dic3—31no—
90C22×C3×Dic3—31no—
91C22×C3×Dic3—31no—
92C22×C3×Dic3—61no—
93C22×C3×Dic3—61no—
94C22×C3×Dic3C2×D311yescharacteristic
95C22×C3×Dic3C2×D311yescharacteristic
96C22×C3×Dic3C2×D311yescharacteristic
97C22×C3×Dic3C2×D311yescharacteristic
98C22×C3×Dic3C22×C311yescharacteristic
99C22×C3×Dic3C22×C311yescharacteristic
100C22×C3×Dic3C22×C311yescharacteristic
101C22×C3×Dic3C22×C311yescharacteristic
102C32×C4⋊C4—34no—
103C32×C4⋊C4—34no—
104C4⋊(C3⋊Dic3)C22×C314yes—
105C3×C4⋊Dic3—34no—
106C3×C4⋊Dic3—34no—
107C3×C4⋊Dic3—34no—
108C3×C4⋊Dic3—34no—
109C3×C4⋊Dic3—64no—
110C3×Dic3⋊C4—24no—
111C3×Dic3⋊C4—24no—
112C3×Dic3⋊C4—34no—
113C3×Dic3⋊C4—34no—
114C3×Dic3⋊C4—34no—
115C3×Dic3⋊C4—34no—
116C3×Dic3⋊C4C2×D314yes—
117C3×Dic3⋊C4C2×D314yes—
118C3×Dic3⋊C4C22×C314yes—
119C3×Dic3⋊C4C22×C314yes—
120C3×C4×Dic3—34no—
121C3×C4×Dic3—34no—
122#3724C22×C314yes—
123Dic3⋊Dic3C22×C314yes—
124Dic3⋊Dic3C22×C314yes—
125Dic32C22×C314yes—
126C22×C33C2×Q812yes—
127C22×C33#4112yes—
128C22×C33#4112yes—
129C22×C33C2411yescharacteristic
130C33×C4—22no—
131C3×C3⋊Dic3—22no—
132C3×C3⋊Dic3—22no—
133C32×Dic3—22no—
134C32×Dic3—22no—
135C32×Dic3—22no—
136C32×Dic3C2×Q814yes—
137C3×#125—98no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—31no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C4⋊C4—31no—
142C2×C3×C4⋊C4—61no—
143C2×C3×C4⋊C4—61no—
144C2×C3×C4⋊C4—91no—
145C2×C3×C4⋊C4—91no—
146C2×C3×C4⋊C4—91no—
147C2×C3×C4⋊C4—91no—
148C2×C3×C42—91no—
149C2×C4⋊Dic3—31no—
150C2×C4⋊Dic3—31no—
151C2×C4⋊Dic3—31no—
152C2×C4⋊Dic3—31no—
153C2×C4⋊Dic3—61no—
154C2×Dic3⋊C4—31no—
155C2×Dic3⋊C4—31no—
156C2×Dic3⋊C4—31no—
157C2×Dic3⋊C4—31no—
158C2×Dic3⋊C4C3×D311yescharacteristic
159C2×Dic3⋊C4C3×D311yescharacteristic
160C2×C4×Dic3—31no—
161C2×C4×Dic3—31no—
162#890—38no—
163#889—38no—
164C23×C32—21no—
165C23×C32—21no—
166C23×C32—21no—
167C23×C32—41no—
168C23×C32C22×D311yescharacteristic
169C23×C32C22×D311yescharacteristic
170C23×C32C23×C311yescharacteristic
171C2×C32×C4—22no—
172C2×C32×C4—24no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4—22no—
178C2×C32×C4—34no—
179C2×C32×C4—32no—
180C2×C32×C4—32no—
181C2×C32×C4—32no—
182C2×C32×C4—32no—
183C2×C32×C4—42no—
184C2×C32×C4—42no—
185C2×C32×C4—42no—
186C2×C32×C4—44no—
187C2×C32×C4—62no—
188C2×C32×C4—62no—
189C2×C32×C4—62no—
190C2×C32×C4C22×D312yes—
191C2×C32×C4C22×D312yes—
192C2×C32×C4C23×C312yes—
193C2×C3⋊Dic3—22no—
194C2×C3⋊Dic3—22no—
195C2×C3⋊Dic3C23×C312yes—
196C2×C3⋊Dic3C23×C312yes—
197C2×C3×Dic3—24no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—24no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3—32no—
210C2×C3×Dic3—32no—
211C2×C3×Dic3—32no—
212C2×C3×Dic3—32no—
213C2×C3×Dic3—42no—
214C2×C3×Dic3—42no—
215C2×C3×Dic3—62no—
216C2×C3×Dic3—62no—
217C2×C3×Dic3—62no—
218C2×C3×Dic3—62no—
219C2×C3×Dic3—62no—
220C2×C3×Dic3—62no—
221C2×C3×Dic3—122no—
222C2×C3×Dic3—122no—
223C2×C3×Dic3Dic614yes—
224C2×C3×Dic3C3×Q814yes—
225C2×C3×Dic3C22×D312yes—
226C2×C3×Dic3C22×D312yes—
227C2×C3×Dic3C22×D312yes—
228C2×C3×Dic3C22×D312yes—
229C2×C3×Dic3C23×C312yes—
230C2×C3×Dic3C23×C312yes—
231C2×C3×Dic3C23×C312yes—
232C2×C3×Dic3C23×C312yes—
233C2×#125—91noSylow
234C2×C33#12514yescomplemented
235C2×C33C22×Q811yescharacteristic
236C2×C33C2×#4111yescharacteristic
237C2×C33C2×#4111yescharacteristic
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—31no—
242C22×C3×C4—31no—
243C22×C3×C4—31no—
244C22×C3×C4—31no—
245C22×C3×C4—31no—
246C22×C3×C4—31no—
247C22×C3×C4—31no—
248C22×C3×C4—31no—
249C22×C3×C4—41no—
250C22×C3×C4—61no—
251C22×C3×C4—61no—
252C22×C3×C4—61no—
253C22×C3×C4—61no—
254C22×C3×C4—91no—
255C22×C3×C4—91no—
256C22×C3×C4D3211yescharacteristic
257C22×C3×C4C2×C3×D311yescharacteristic
258C22×C3×C4C2×C3×D311yescharacteristic
259C22×Dic3—31no—
260C22×Dic3—31no—
261C22×Dic3—31no—
262C22×Dic3—31no—
263C22×Dic3—61no—
264C22×Dic3—61no—
265C22×Dic3C2×C3×D311yescharacteristic
266C22×Dic3C2×C3×D311yescharacteristic
267C22×Dic3C2×C3×D311yescharacteristic
268C22×Dic3C2×C3×D311yescharacteristic
269C3×C4⋊C4—34no—
270C3×C4⋊C4—34no—
271C3×C4⋊C4—34no—
272C3×C4⋊C4—34no—
273C3×C4⋊C4—64no—
274C3×C4⋊C4—64no—
275C3×C4⋊C4—94no—
276C3×C4⋊C4—94no—
277C3×C4⋊C4—94no—
278C3×C4⋊C4—94no—
279C3×C42—94no—
280C4⋊Dic3—34no—
281C4⋊Dic3—34no—
282C4⋊Dic3—34no—
283C4⋊Dic3—34no—
284C4⋊Dic3—64no—
285Dic3⋊C4—34no—
286Dic3⋊C4—34no—
287Dic3⋊C4—34no—
288Dic3⋊C4—34no—
289Dic3⋊C4C2×C3×D314yes—
290Dic3⋊C4C2×C3×D314yes—
291C4×Dic3—34no—
292C4×Dic3—34no—
293C22×C32—21no—
294C22×C32—21no—
295C22×C32—21no—
296C22×C32—22no—
297C22×C32—22no—
298C22×C32—22no—
299C22×C32—22no—
300C22×C32—22no—
301C22×C32—22no—
302C22×C32—22no—
303C22×C32—22no—
304C22×C32—22no—
305C22×C32—42no—
306C22×C32—42no—
307C22×C32—42no—
308C22×C32—41no—
309C22×C32C2×Dic612yes—
310C22×C32#23512yes—
311C22×C32#23712yes—
312C22×C32#23712yes—
313C22×C32D3×Q812yes—
314C22×C32#23912yes—
315C22×C32C2×C3×Q812yes—
316C22×C32C3×#4112yes—
317C22×C32C3×#4112yes—
318C22×C32C23×D311yescharacteristic
319C22×C32C23×D311yescharacteristic
320C22×C32C24×C311yescharacteristic
321C32×C4—22no—
322C32×C4—24no—
323C32×C4—22no—
324C32×C4—22no—
325C32×C4—34no—
326C32×C4—42no—
327C32×C4—42no—
328C32×C4—44no—
329C32×C4—62no—
330C32×C4—62no—
331C32×C4—62no—
332C3⋊Dic3—22no—
333C3⋊Dic3—22no—
334C3×Dic3—24no—
335C3×Dic3—22no—
336C3×Dic3—22no—
337C3×Dic3—22no—
338C3×Dic3—22no—
339C3×Dic3—22no—
340C3×Dic3—22no—
341C3×Dic3—24no—
342C3×Dic3—42no—
343C3×Dic3—42no—
344C3×Dic3—62no—
345C3×Dic3—62no—
346C3×Dic3—62no—
347C3×Dic3—62no—
348C3×Dic3—122no—
349C3×Dic3—122no—
350C3×Dic3C2×Dic614yes—
351C3×Dic3C2×C3×Q814yes—
352#125—98no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—91no—
356C2×C4⋊C4—91no—
357C2×C4⋊C4—91no—
358C2×C4⋊C4—91no—
359C2×C42—91no—
360C33C2×#12511yescharacteristic, complemented, Sylow
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—41no—
365C23×C3C2×D3211yescharacteristic
366C23×C3C22×C3×D311yescharacteristic
367C23×C3C22×C3×D311yescharacteristic
368C2×C3×C4—24no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—32no—
376C2×C3×C4—32no—
377C2×C3×C4—34no—
378C2×C3×C4—34no—
379C2×C3×C4—32no—
380C2×C3×C4—32no—
381C2×C3×C4—32no—
382C2×C3×C4—32no—
383C2×C3×C4—32no—
384C2×C3×C4—32no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—44no—
388C2×C3×C4—42no—
389C2×C3×C4—62no—
390C2×C3×C4—62no—
391C2×C3×C4—64no—
392C2×C3×C4—62no—
393C2×C3×C4—62no—
394C2×C3×C4—64no—
395C2×C3×C4—62no—
396C2×C3×C4—62no—
397C2×C3×C4—62no—
398C2×C3×C4—62no—
399C2×C3×C4—62no—
400C2×C3×C4—62no—
401C2×C3×C4—92no—
402C2×C3×C4—92no—
403C2×C3×C4—122no—
404C2×C3×C4—122no—
405C2×C3×C4—182no—
406C2×C3×C4—182no—
407C2×C3×C4C2×D3212yes—
408C2×C3×C4C22×C3×D312yes—
409C2×C3×C4C22×C3×D312yes—
410C2×Dic3—22no—
411C2×Dic3—22no—
412C2×Dic3—22no—
413C2×Dic3—32no—
414C2×Dic3—32no—
415C2×Dic3—32no—
416C2×Dic3—32no—
417C2×Dic3—62no—
418C2×Dic3—62no—
419C2×Dic3—62no—
420C2×Dic3—62no—
421C2×Dic3—62no—
422C2×Dic3—62no—
423C2×Dic3—122no—
424C2×Dic3—122no—
425C2×Dic3C3×Dic614yes—
426C2×Dic3C22×C3×D312yes—
427C2×Dic3C22×C3×D312yes—
428C2×Dic3C22×C3×D312yes—
429C2×Dic3C22×C3×D312yes—
430C2×C32—24no—
431C2×C32—24no—
432C2×C32—21no—
433C2×C32—21no—
434C2×C32—21no—
435C2×C32—21no—
436C2×C32—21no—
437C2×C32—21no—
438C2×C32—21no—
439C2×C32—21no—
440C2×C32—21no—
441C2×C32—24no—
442C2×C32—44no—
443C2×C32—41no—
444C2×C32—41no—
445C2×C32—41no—
446C2×C32#88914yescomplemented
447C2×C32#89014yescomplemented
448C2×C32C3×#12514yescomplemented
449C2×C32C22×Dic611yescharacteristic
450C2×C32C2×#23511yescharacteristic
451C2×C32C2×#23711yescharacteristic
452C2×C32C2×#23711yescharacteristic
453C2×C32C2×D3×Q811yescharacteristic
454C2×C32C2×#23911yescharacteristic
455C2×C32C22×C3×Q811yescharacteristic
456C2×C32C2×C3×#4111yescharacteristic
457C2×C32C2×C3×#4111yescharacteristic
458C22×C4—31no—
459C22×C4—31no—
460C22×C4—31no—
461C22×C4—31no—
462C22×C4—91no—
463C22×C4—91no—
464C22×C4C3×D3211yescharacteristic
465C4⋊C4—34no—
466C4⋊C4—34no—
467C4⋊C4—94no—
468C4⋊C4—94no—
469C4⋊C4—94no—
470C4⋊C4—94no—
471C42—94no—
472C22×C3—21no—
473C22×C3—21no—
474C22×C3—21no—
475C22×C3—22no—
476C22×C3—22no—
477C22×C3—22no—
478C22×C3—22no—
479C22×C3—22no—
480C22×C3—22no—
481C22×C3—22no—
482C22×C3—22no—
483C22×C3—22no—
484C22×C3—41no—
485C22×C3—42no—
486C22×C3—42no—
487C22×C3—42no—
488C22×C3D3×Dic612yes—
489C22×C3#379912yes—
490C22×C3#380512yes—
491C22×C3C2×C3×Dic612yes—
492C22×C3C3×#23512yes—
493C22×C3C3×#23712yes—
494C22×C3C3×#23712yes—
495C22×C3C3×D3×Q812yes—
496C22×C3C3×#23912yes—
497C22×C3C22×D3211yescharacteristic
498C22×C3C23×C3×D311yescharacteristic
499C22×C3C23×C3×D311yescharacteristic
500C3×C4—24no—
501C3×C4—22no—
502C3×C4—22no—
503C3×C4—22no—
504C3×C4—34no—
505C3×C4—34no—
506C3×C4—42no—
507C3×C4—42no—
508C3×C4—44no—
509C3×C4—64no—
510C3×C4—64no—
511C3×C4—62no—
512C3×C4—62no—
513C3×C4—62no—
514C3×C4—62no—
515C3×C4—62no—
516C3×C4—62no—
517C3×C4—122no—
518C3×C4—122no—
519C3×C4—182no—
520C3×C4—182no—
521Dic3—22no—
522Dic3—22no—
523Dic3—22no—
524Dic3—62no—
525Dic3—62no—
526Dic3—62no—
527Dic3—62no—
528Dic3—122no—
529Dic3—122no—
530Dic3C2×C3×Dic614yes—
531C32—21no—
532C32—21no—
533C32—21no—
534C32—41no—
535C32C2×#88911yescharacteristic, complemented
536C32C2×#89011yescharacteristic, complemented
537C32C2×C3×#12511yescharacteristic, complemented
538C23C2×C3×D3211yescharacteristic
539C2×C4—22no—
540C2×C4—32no—
541C2×C4—34no—
542C2×C4—32no—
543C2×C4—32no—
544C2×C4—32no—
545C2×C4—62no—
546C2×C4—62no—
547C2×C4—62no—
548C2×C4—92no—
549C2×C4—92no—
550C2×C4—182no—
551C2×C4—182no—
552C2×C4C2×C3×D3212yes—
553C2×C3—21no—
554C2×C3—21no—
555C2×C3—21no—
556C2×C3—24no—
557C2×C3—24no—
558C2×C3—24no—
559C2×C3—21no—
560C2×C3—21no—
561C2×C3—21no—
562C2×C3—21no—
563C2×C3—21no—
564C2×C3—21no—
565C2×C3—41no—
566C2×C3—44no—
567C2×C3—41no—
568C2×C3—41no—
569C2×C3#6384514yesdirect product factor
570C2×C3C3×#88914yescomplemented
571C2×C3C3×#89014yescomplemented
572C2×C3C2×D3×Dic611yescharacteristic
573C2×C3C2×#379911yescharacteristic
574C2×C3C2×#380511yescharacteristic
575C2×C3C22×C3×Dic611yescharacteristic
576C2×C3C2×C3×#23511yescharacteristic
577C2×C3C2×C3×#23711yescharacteristic
578C2×C3C2×C3×#23711yescharacteristic
579C2×C3C2×C3×D3×Q811yescharacteristic
580C2×C3C2×C3×#23911yescharacteristic
581C22C3×D3×Dic612yes—
582C22C3×#379912yes—
583C22C3×#380512yes—
584C22C22×C3×D3211yescharacteristic
585C4—22no—
586C4—34no—
587C4—62no—
588C4—62no—
589C4—62no—
590C4—182no—
591C4—182no—
592C3—21no—
593C3—21no—
594C3—21no—
595C3—41no—
596C3C2×#6384511yescharacteristic, direct product factor
597C3C2×C3×#88911yescharacteristic, complemented
598C3C2×C3×#89011yescharacteristic, complemented
599C2C3×#6384514yesdirect product factor
600C2C2×C3×D3×Dic611yescharacteristic
601C2C2×C3×#379911yescharacteristic
602C2C2×C3×#380511yescharacteristic
subgroupG/H
centerC23×C3C2×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socle, prime radicalC23×C33C23
hypercenterC22×C3×C4D32
hypocenterC32C2×C3×#125
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
8. C3×#63845C2direct (N × H)
11. C2×#63845C3direct (N × H)
52. #63845C2×C3direct (N × H)
234. C2×C33#125semidirect
360. C33C2×#125semidirect
446. C2×C32#889semidirect
447. C2×C32#890semidirect
448. C2×C32C3×#125semidirect
535. C32C2×#889semidirect
536. C32C2×#890semidirect
537. C32C2×C3×#125semidirect
569. C2×C3#63845direct (N × H)
570. C2×C3C3×#889semidirect
571. C2×C3C3×#890semidirect
596. C3C2×#63845direct (N × H)
597. C3C2×C3×#889semidirect
598. C3C2×C3×#890semidirect
599. C2C3×#63845direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C4⋊(C3⋊Dic3)2
C2×C32×Dic3⋊C42
C2×C3×#37242
C2×C3×Dic3⋊Dic32
C2×C3×Dic322
C3×#638452
C2×C3×#8903
C2×C3×#8893
C2×#638453