Finite Group Databasebeta

← C3×#10591385 #13158392

Subgroups — C3×#10591385 #13158392

Order 1728.

1458 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#625C211yesmaximal, characteristic
2C2×C3×C4×C3⋊Dic3C211yesmaximal, characteristic, complemented
3C2×C32×(C2×D3)⋊C4C212yesmaximal, complemented
4C2×C3×#3724C211yesmaximal, characteristic, complemented
5C2×C3×(C2×D3)⋊Dic3C212yesmaximal, complemented
6C3×#4957—32nomaximal
7#10591385C311yesmaximal, characteristic, direct product factor
8C23×C32×D3C2212yes—
9C22×C33×C4C2211yescharacteristic
10C22×C3×C3⋊Dic3C2211yescharacteristic
11C22×C3×C3⋊Dic3C2211yescharacteristic
12C22×C32×Dic3C2212yes—
13C2×C3×#625—22no—
14C2×C3×#625—22no—
15C2×C3×#625C414yescomplemented
16C3×C4×C3⋊Dic3—22no—
17C32×(C2×D3)⋊C4—24no—
18C3×#3724—22no—
19C3×(C2×D3)⋊Dic3—24no—
20C22×C3×#67—32no—
21C22×#625C2×C311yescharacteristic
22C2×C32×C22⋊C4—32no—
23C2×C4×C3⋊Dic3C2×C311yescharacteristic, complemented
24C2×C3×#217—32no—
25C2×C3×(C2×D3)⋊C4—22no—
26C2×C3×(C2×D3)⋊C4—32no—
27C2×C3×(C2×D3)⋊C4D312yescomplemented
28C2×C3×(C2×D3)⋊C4C2×C312yescomplemented
29C2×C3×Dic3⋊C4—32no—
30C2×C3×C4×Dic3—32no—
31C2×C3×C4×Dic3—61no—
32C2×#3724C2×C311yescharacteristic, complemented
33C2×(C2×D3)⋊Dic3C2×C312yescomplemented
34C23×C33C2311yescharacteristic
35C22×C32×D3—22no—
36C22×C32×D3—22no—
37C22×C32×D3—22no—
38C22×C32×D3—22no—
39C22×C32×D3—22no—
40C22×C32×D3—22no—
41C22×C32×D3C2×C414yes—
42C2×C33×C4—21no—
43C2×C33×C4—21no—
44C2×C33×C4D412yescomplemented
45C2×C3×C3⋊Dic3—21no—
46C2×C3×C3⋊Dic3—21no—
47C2×C3×C3⋊Dic3C2×C412yes—
48C2×C3×C3⋊Dic3D412yes—
49C2×C3×C3⋊Dic3D412yes—
50C2×C3×C3⋊Dic3D412yescomplemented
51C2×C32×Dic3—22no—
52C2×C32×Dic3—22no—
53C2×C32×Dic3—22no—
54C3×#625—28no—
55C3×#390—91no—
56#4957—32no—
57C24×C32—32no—
58C23×C3×D3—22no—
59C23×C3×D3C2×D312yes—
60C23×C3×D3C22×C312yes—
61C22×C32×C4—21no—
62C22×C32×C4—22no—
63C22×C32×C4—32no—
64C22×C32×C4—41no—
65C22×C32×C4C2×D312yes—
66C22×C32×C4C22×C311yescharacteristic
67C22×C3⋊Dic3C22×C311yescharacteristic
68C22×C3⋊Dic3C22×C311yescharacteristic
69C2×C3×#67—38no—
70C2×C3×#67—64no—
71C2×C3×#67—64no—
72C22×C3×Dic3—22no—
73C22×C3×Dic3—32no—
74C22×C3×Dic3—32no—
75C22×C3×Dic3—61no—
76C22×C3×Dic3—61no—
77C22×C3×Dic3C2×D312yes—
78C22×C3×Dic3C22×C312yes—
79C2×#625—22no—
80C2×#625—22no—
81C2×#625C3×C414yescomplemented
82C32×C22⋊C4—64no—
83C4×C3⋊Dic3—22no—
84C3×#217—64no—
85C3×(C2×D3)⋊C4—28no—
86C3×(C2×D3)⋊C4—24no—
87C3×(C2×D3)⋊C4—24no—
88C3×(C2×D3)⋊C4—64no—
89C3×Dic3⋊C4—64no—
90C3×C4×Dic3—64no—
91C3×C4×Dic3—64no—
92#3724—22no—
93(C2×D3)⋊Dic3—24no—
94C22×C33C22×C411yescharacteristic
95C22×C33C2×D411yescharacteristic
96C22×C33C2×D411yescharacteristic
97C22×C33C2×D411yescharacteristic
98C22×C33C2×D411yescharacteristic
99C22×C33#4111yescharacteristic
100C22×C33#4111yescharacteristic
101C2×C32×D3—24no—
102C2×C32×D3—24no—
103C2×C32×D3—24no—
104C2×C32×D3—42no—
105C2×C32×D3—42no—
106C2×C32×D3—42no—
107C2×C32×D3—42no—
108C33×C4—22no—
109C3×C3⋊Dic3—22no—
110C3×C3⋊Dic3C22⋊C414yescomplemented
111C32×Dic3—42no—
112C22×C3×D4—91no—
113C22×#67—32no—
114C2×C3×C4⋊C4—91no—
115C2×C3×C22⋊C4—32no—
116C2×C3×C22⋊C4—32no—
117C2×C3×C22⋊C4—62no—
118C2×C3×C22⋊C4—92no—
119C2×C3×C42—91no—
120C2×#217—32no—
121C2×(C2×D3)⋊C4—32no—
122C2×(C2×D3)⋊C4C3×D312yescomplemented
123C2×Dic3⋊C4—32no—
124C2×C4×Dic3—32no—
125C2×C4×Dic3—61no—
126C23×C32—21no—
127C23×C32—22no—
128C23×C32—34no—
129C23×C32—41no—
130C23×C32—62no—
131C23×C32—62no—
132C23×C32—62no—
133C23×C32—62no—
134C23×C32—62no—
135C23×C32—62no—
136C23×C32C22×D312yes—
137C23×C32C23×C311yescharacteristic
138C22×C3×D3—24no—
139C22×C3×D3—24no—
140C22×C3×D3—22no—
141C22×C3×D3—22no—
142C22×C3×D3—22no—
143C22×C3×D3—22no—
144C22×C3×D3—22no—
145C22×C3×D3—22no—
146C22×C3×D3—22no—
147C22×C3×D3—22no—
148C22×C3×D3—22no—
149C22×C3×D3—22no—
150C22×C3×D3—22no—
151C22×C3×D3—22no—
152C22×C3×D3—24no—
153C22×C3×D3—42no—
154C22×C3×D3—42no—
155C22×C3×D3—42no—
156C22×C3×D3—42no—
157C22×C3×D3C4×D314yes—
158C22×C3×D3C2×C3×C414yes—
159C2×C32×C4—21no—
160C2×C32×C4—21no—
161C2×C32×C4—22no—
162C2×C32×C4—22no—
163C2×C32×C4—22no—
164C2×C32×C4—22no—
165C2×C32×C4—22no—
166C2×C32×C4—24no—
167C2×C32×C4—42no—
168C2×C32×C4—42no—
169C2×C32×C4—42no—
170C2×C32×C4—42no—
171C2×C32×C4—42no—
172C2×C32×C4—62no—
173C2×C32×C4—62no—
174C2×C32×C4—62no—
175C2×C32×C4#6714yescomplemented
176C2×C32×C4C3×D412yescomplemented
177C2×C3⋊Dic3—21no—
178C2×C3⋊Dic3—21no—
179C2×C3⋊Dic3C2×C3×C412yes—
180C2×C3⋊Dic3C3×D412yes—
181C2×C3⋊Dic3C3×D412yes—
182C2×C3⋊Dic3C3×D412yescomplemented
183C3×#67—616no—
184C2×C3×Dic3—24no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—34no—
192C2×C3×Dic3—34no—
193C2×C3×Dic3—34no—
194C2×C3×Dic3—34no—
195C2×C3×Dic3—42no—
196C2×C3×Dic3—42no—
197C2×C3×Dic3—62no—
198C2×C3×Dic3—62no—
199C2×C3×Dic3—62no—
200C2×C3×Dic3—62no—
201C2×C3×Dic3—62no—
202C2×C3×Dic3—62no—
203C2×C3×Dic3—62no—
204C2×C3×Dic3—62no—
205#625—28no—
206#390—91noSylow
207C2×C33C2×C22⋊C411yescharacteristic
208C2×C33C4×D411yescharacteristic
209C2×C33C4×D411yescharacteristic
210C2×C33#12111yescharacteristic
211C2×C33#12111yescharacteristic
212C2×C33#12411yescharacteristic
213C2×C33#12711yescharacteristic
214C32×D3—44no—
215C24×C3—32no—
216C24×C3—32no—
217C24×C3—62no—
218C23×D3C2×C3×D312yes—
219C2×C3×D4—94no—
220C2×C3×D4—182no—
221C2×C3×D4—182no—
222C22×C3×C4—21no—
223C22×C3×C4—22no—
224C22×C3×C4—32no—
225C22×C3×C4—32no—
226C22×C3×C4—41no—
227C22×C3×C4—62no—
228C22×C3×C4—91no—
229C22×C3×C4—91no—
230C22×C3×C4D3211yescharacteristic
231C22×C3×C4C2×C3×D312yes—
232C2×#67—38no—
233C2×#67—64no—
234C2×#67—64no—
235C22×Dic3—32no—
236C22×Dic3—32no—
237C22×Dic3—61no—
238C22×Dic3—61no—
239C22×Dic3C2×C3×D312yes—
240C3×C4⋊C4—182no—
241C3×C22⋊C4—68no—
242C3×C22⋊C4—64no—
243C3×C22⋊C4—64no—
244C3×C22⋊C4—184no—
245C3×C42—182no—
246#217—64no—
247(C2×D3)⋊C4—24no—
248(C2×D3)⋊C4—64no—
249Dic3⋊C4—64no—
250C4×Dic3—64no—
251C4×Dic3—64no—
252C22×C32—21no—
253C22×C32—21no—
254C22×C32—21no—
255C22×C32—21no—
256C22×C32—21no—
257C22×C32—21no—
258C22×C32—21no—
259C22×C32—22no—
260C22×C32—22no—
261C22×C32—22no—
262C22×C32—22no—
263C22×C32—22no—
264C22×C32—22no—
265C22×C32—22no—
266C22×C32—41no—
267C22×C32—41no—
268C22×C32—41no—
269C22×C32—41no—
270C22×C32—41no—
271C22×C32—41no—
272C22×C32—41no—
273C22×C32—64no—
274C22×C32—64no—
275C22×C32—64no—
276C22×C32—122no—
277C22×C32—122no—
278C22×C32—122no—
279C22×C32—122no—
280C22×C32C2×C4×D312yes—
281C22×C32#23512yes—
282C22×C32D3×D412yes—
283C22×C32D3×D412yes—
284C22×C32D3×D412yes—
285C22×C32#23712yes—
286C22×C32C2×#6712yes—
287C22×C32C22×C3×C411yescharacteristic
288C22×C32C2×C3×D411yescharacteristic
289C22×C32C2×C3×D411yescharacteristic
290C22×C32C2×C3×D411yescharacteristic
291C22×C32C2×C3×D411yescharacteristic
292C22×C32C3×#4111yescharacteristic
293C22×C32C3×#4111yescharacteristic
294C2×C3×D3—28no—
295C2×C3×D3—24no—
296C2×C3×D3—24no—
297C2×C3×D3—24no—
298C2×C3×D3—24no—
299C2×C3×D3—24no—
300C2×C3×D3—24no—
301C2×C3×D3—44no—
302C2×C3×D3—44no—
303C2×C3×D3—44no—
304C2×C3×D3—44no—
305C2×C3×D3—44no—
306C2×C3×D3—44no—
307C2×C3×D3—42no—
308C2×C3×D3—42no—
309C2×C3×D3—42no—
310C2×C3×D3—42no—
311C2×C3×D3—42no—
312C2×C3×D3—42no—
313C2×C3×D3—42no—
314C2×C3×D3—42no—
315C32×C4—22no—
316C32×C4—24no—
317C32×C4—24no—
318C32×C4—44no—
319C32×C4—44no—
320C32×C4—122no—
321C3⋊Dic3—22no—
322C3⋊Dic3C3×C22⋊C414yescomplemented
323C3×Dic3—38no—
324C3×Dic3—44no—
325C3×Dic3—42no—
326C3×Dic3—42no—
327C3×Dic3—64no—
328C3×Dic3—64no—
329C3×Dic3—64no—
330C22×D4—91no—
331C2×C4⋊C4—91no—
332C2×C22⋊C4—32no—
333C2×C22⋊C4—92no—
334C2×C42—91no—
335C33#39011yescharacteristic, complemented, Sylow
336C23×C3—22no—
337C23×C3—21no—
338C23×C3—34no—
339C23×C3—34no—
340C23×C3—41no—
341C23×C3—64no—
342C23×C3—64no—
343C23×C3—64no—
344C23×C3—62no—
345C23×C3—62no—
346C23×C3—62no—
347C23×C3—62no—
348C23×C3—62no—
349C23×C3—62no—
350C23×C3—62no—
351C23×C3—62no—
352C23×C3—62no—
353C23×C3—62no—
354C23×C3—62no—
355C23×C3—62no—
356C23×C3—122no—
357C23×C3—122no—
358C23×C3—122no—
359C23×C3—122no—
360C23×C3C2×D3211yescharacteristic
361C23×C3C22×C3×D312yes—
362C22×D3—22no—
363C22×D3—22no—
364C22×D3—22no—
365C22×D3—22no—
366C22×D3—22no—
367C22×D3—22no—
368C22×D3C3×C4×D314yes—
369C3×D4—188no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—24no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—64no—
384C2×C3×C4—62no—
385C2×C3×C4—62no—
386C2×C3×C4—62no—
387C2×C3×C4—62no—
388C2×C3×C4—62no—
389C2×C3×C4—62no—
390C2×C3×C4—92no—
391C2×C3×C4—92no—
392C2×C3×C4—92no—
393C2×C3×C4—92no—
394C2×C3×C4—122no—
395C2×C3×C4—122no—
396C2×C3×C4—181no—
397C2×C3×C4—181no—
398C2×C3×C4#62512yescomplemented
399C2×C3×C4C3×#6714yescomplemented
400#67—616no—
401C2×Dic3—22no—
402C2×Dic3—22no—
403C2×Dic3—22no—
404C2×Dic3—34no—
405C2×Dic3—34no—
406C2×Dic3—34no—
407C2×Dic3—34no—
408C2×Dic3—62no—
409C2×Dic3—62no—
410C2×Dic3—62no—
411C2×Dic3—62no—
412C2×Dic3—62no—
413C2×Dic3—62no—
414C2×Dic3—62no—
415C2×Dic3—62no—
416C2×C32—22no—
417C2×C32—22no—
418C2×C32—22no—
419C2×C32—22no—
420C2×C32—22no—
421C2×C32—22no—
422C2×C32—22no—
423C2×C32—21no—
424C2×C32—21no—
425C2×C32—21no—
426C2×C32—21no—
427C2×C32—21no—
428C2×C32—21no—
429C2×C32—21no—
430C2×C32—41no—
431C2×C32—41no—
432C2×C32—41no—
433C2×C32—41no—
434C2×C32—41no—
435C2×C32—41no—
436C2×C32—41no—
437C2×C32—124no—
438C2×C32D3×C22⋊C412yes—
439C2×C32#67⋊C412yes—
440C2×C32#88412yes—
441C2×C32#88512yes—
442C2×C32C4×#6712yes—
443C2×C32#93912yes—
444C2×C32#94012yes—
445C2×C32C2×C3×C22⋊C411yescharacteristic
446C2×C32C3×C4×D411yescharacteristic
447C2×C32C3×C4×D411yescharacteristic
448C2×C32C3×#12111yescharacteristic
449C2×C32C3×#12111yescharacteristic
450C2×C32C3×#12411yescharacteristic
451C2×C32C3×#12711yescharacteristic
452C3×D3—48no—
453C3×D3—44no—
454C3×D3—44no—
455C24—32no—
456C2×D4—94no—
457C2×D4—182no—
458C2×D4—182no—
459C22×C4—32no—
460C22×C4—91no—
461C22×C4—91no—
462C22×C4C3×D3211yescharacteristic
463C4⋊C4—182no—
464C22⋊C4—64no—
465C22⋊C4—184no—
466C42—182no—
467C22×C3—21no—
468C22×C3—22no—
469C22×C3—21no—
470C22×C3—22no—
471C22×C3—21no—
472C22×C3—21no—
473C22×C3—22no—
474C22×C3—22no—
475C22×C3—21no—
476C22×C3—22no—
477C22×C3—22no—
478C22×C3—21no—
479C22×C3—21no—
480C22×C3—22no—
481C22×C3—41no—
482C22×C3—41no—
483C22×C3—41no—
484C22×C3—41no—
485C22×C3—41no—
486C22×C3—41no—
487C22×C3—41no—
488C22×C3—68no—
489C22×C3—64no—
490C22×C3—64no—
491C22×C3—64no—
492C22×C3—64no—
493C22×C3—64no—
494C22×C3—64no—
495C22×C3—124no—
496C22×C3—124no—
497C22×C3—124no—
498C22×C3—124no—
499C22×C3—124no—
500C22×C3—124no—
501C22×C3—122no—
502C22×C3—122no—
503C22×C3—122no—
504C22×C3—122no—
505C22×C3—122no—
506C22×C3—122no—
507C22×C3—122no—
508C22×C3—122no—
509C22×C3#379811yescharacteristic
510C22×C3C4×D3211yescharacteristic
511C22×C3#380211yescharacteristic
512C22×C3#380211yescharacteristic
513C22×C3#380511yescharacteristic
514C22×C3C2×#62511yescharacteristic
515C22×C3#381111yescharacteristic
516C22×C3C2×C3×C4×D312yes—
517C22×C3C3×#23512yes—
518C22×C3C3×D3×D412yes—
519C22×C3C3×D3×D412yes—
520C22×C3C3×D3×D412yes—
521C22×C3C3×#23712yes—
522C22×C3C2×C3×#6712yes—
523C2×D3—24no—
524C2×D3—24no—
525C2×D3—24no—
526C2×D3—42no—
527C2×D3—42no—
528C2×D3—42no—
529C2×D3—42no—
530C3×C4—24no—
531C3×C4—24no—
532C3×C4—22no—
533C3×C4—44no—
534C3×C4—44no—
535C3×C4—94no—
536C3×C4—124no—
537C3×C4—122no—
538C3×C4—122no—
539C3×C4—182no—
540Dic3—38no—
541Dic3—42no—
542Dic3—64no—
543Dic3—64no—
544Dic3—64no—
545C32—22no—
546C32—21no—
547C32—41no—
548C32#495712yescomplemented
549C32C3×#39011yescharacteristic, complemented
550C23—34no—
551C23—62no—
552C23—62no—
553C23—62no—
554C23—62no—
555C23—62no—
556C23—62no—
557C23C2×C3×D3211yescharacteristic
558D4—188no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—62no—
562C2×C4—62no—
563C2×C4—62no—
564C2×C4—92no—
565C2×C4—92no—
566C2×C4—92no—
567C2×C4—92no—
568C2×C4—181no—
569C2×C4—181no—
570C2×C4C3×#62512yescomplemented
571C2×C3—21no—
572C2×C3—22no—
573C2×C3—22no—
574C2×C3—21no—
575C2×C3—22no—
576C2×C3—21no—
577C2×C3—21no—
578C2×C3—22no—
579C2×C3—22no—
580C2×C3—21no—
581C2×C3—22no—
582C2×C3—21no—
583C2×C3—21no—
584C2×C3—22no—
585C2×C3—41no—
586C2×C3—41no—
587C2×C3—41no—
588C2×C3—41no—
589C2×C3—41no—
590C2×C3—41no—
591C2×C3—41no—
592C2×C3—128no—
593C2×C3—124no—
594C2×C3—124no—
595C2×C3C4×#62511yescharacteristic
596C2×C3#6390211yescharacteristic
597C2×C3#6391211yescharacteristic
598C2×C3#6391411yescharacteristic
599C2×C3#6391511yescharacteristic
600C2×C3#6392111yescharacteristic
601C2×C3#6398011yescharacteristic
602C2×C3C3×D3×C22⋊C412yes—
603C2×C3C3×#67⋊C412yes—
604C2×C3C3×#88412yes—
605C2×C3C3×#88512yes—
606C2×C3C3×C4×#6712yes—
607C2×C3C3×#93912yes—
608C2×C3C3×#94012yes—
609D3—44no—
610C22—64no—
611C22—64no—
612C22—64no—
613C22—122no—
614C22—122no—
615C22—122no—
616C22—122no—
617C22C3×#379811yescharacteristic
618C22C3×C4×D3211yescharacteristic
619C22C3×#380211yescharacteristic
620C22C3×#380211yescharacteristic
621C22C3×#380511yescharacteristic
622C22C2×C3×#62511yescharacteristic
623C22C3×#381111yescharacteristic
624C4—22no—
625C4—94no—
626C4—122no—
627C4—182no—
628C3—22no—
629C3—21no—
630C3—41no—
631C3#1059138511yescharacteristic, direct product factor
632C3C3×#495712yescomplemented
633C2—124no—
634C2C3×C4×#62511yescharacteristic
635C2C3×#6390211yescharacteristic
636C2C3×#6391211yescharacteristic
637C2C3×#6391411yescharacteristic
638C2C3×#6391511yescharacteristic
639C2C3×#6392111yescharacteristic
640C2C3×#6398011yescharacteristic
subgroupG/H
centerC23×C3C2×D32
commutatorC22×C32C22×C3×C4
FrattiniC23C2×C3×D32
FittingC22×C33×C4C22
socleC23×C33C23
prime radicalC22×C3×#625C2
cosocleC23×C32C23×C3
hypercenterC22×C3×C4D32
hypocenterC32C3×#390
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×C3⋊Dic3C2semidirect
3. C2×C32×(C2×D3)⋊C4C2semidirect
4. C2×C3×#3724C2semidirect
5. C2×C3×(C2×D3)⋊Dic3C2semidirect
7. #10591385C3direct (N × H)
15. C2×C3×#625C4semidirect
23. C2×C4×C3⋊Dic3C2×C3semidirect
27. C2×C3×(C2×D3)⋊C4D3semidirect
28. C2×C3×(C2×D3)⋊C4C2×C3semidirect
32. C2×#3724C2×C3semidirect
33. C2×(C2×D3)⋊Dic3C2×C3semidirect
44. C2×C33×C4D4semidirect
50. C2×C3×C3⋊Dic3D4semidirect
81. C2×#625C3×C4semidirect
110. C3×C3⋊Dic3C22⋊C4semidirect
122. C2×(C2×D3)⋊C4C3×D3semidirect
175. C2×C32×C4#67semidirect
176. C2×C32×C4C3×D4semidirect
182. C2×C3⋊Dic3C3×D4semidirect
322. C3⋊Dic3C3×C22⋊C4semidirect
335. C33#390semidirect
398. C2×C3×C4#625semidirect
399. C2×C3×C4C3×#67semidirect
548. C32#4957semidirect
549. C32C3×#390semidirect
570. C2×C4C3×#625semidirect
631. C3#10591385direct (N × H)
632. C3C3×#4957semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#6252
C2×C3×C4×C3⋊Dic32
C2×C32×(C2×D3)⋊C42
C2×C3×#37242
C2×C3×(C2×D3)⋊Dic32
C3×#49573
#105913853