Finite Group Databasebeta

← #14319758

Subgroups — #14319758

Order 1920.

1560 conjugacy classes of subgroups.

The subgroup lattice has 592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#893C211yesmaximal, characteristic
2C2×#91435C211yesmaximal, characteristic
3C2×Dic5×D12C211yesmaximal, characteristic
4C4⋊C4×Dic15C211yesmaximal, characteristic, complemented
5C3×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
6#11748886C212yesmaximal, complemented
7D3×#3963C212yesmaximal, complemented
8Dic5×(C2×D3)⋊C4C212yesmaximal, complemented
9C4×(C2×D3)⋊Dic5C212yesmaximal, complemented
10Dic3×C4⋊Dic5C211yesmaximal, characteristic, complemented
11#11748611C211yesmaximal, characteristic, complemented
12#10614048—31nomaximal, Hall
13C22×C5×D12C2211yescharacteristic
14C22×C4×C5×D3C2212yes—
15C22×D3×Dic5C2212yes—
16C22×D3×Dic5C2212yes—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C4⋊Dic15C2211yescharacteristic
19C2×C4×Dic15C2212yes—
20C2×C4×Dic15C2211yescharacteristic
21C2×C5×(C2×D3)⋊C4C2212yes—
22C2×C4×C5×Dic3C2211yescharacteristic
23C5×#893C418yescomplemented
24C2×C3×C4⋊Dic5C2211yescharacteristic
25C2×C3×C4×Dic5C2212yes—
26C2×C3×C4×Dic5C2211yescharacteristic
27C2×(C2×D3)⋊Dic5C2212yes—
28C2×(C2×D3)⋊Dic5C2212yes—
29C2×Dic3×Dic5C2212yes—
30#91435C418yescomplemented
31Dic5×D12C418yescomplemented
32#91115C2212yes—
33C3×#3963C2212yes—
34#90994C2211yescharacteristic
35#90994C2211yescharacteristic
36#90994C2211yescharacteristic
37#90994C2211yescharacteristic
38#90994C2212yes—
39#73751—51nomaximal, Hall
40C2×C4×C5×D4—31no—
41C2×D4×Dic5—31no—
42C2×D4×Dic5—31no—
43C4×C22⋊Dic5—32no—
44C2×#3963—32no—
45C4⋊C4×Dic5—31no—
46C4⋊C4×Dic5D311yescharacteristic, complemented
47C22⋊C4×Dic5—32no—
48C22⋊C4×Dic5—32no—
49C4×C4⋊Dic5—31no—
50#65221—31no—
51C23×C5×D3C2312yes—
52C22×C3×C4×C5C2312yes—
53C22×C3×C4×C5C2311yescharacteristic
54C22×Dic15C2311yescharacteristic
55C22×Dic15C2311yescharacteristic
56C22×Dic15C2312yes—
57C22×C5×Dic3C2311yescharacteristic
58C22×C5×Dic3C2311yescharacteristic
59C2×C5×D12C2×C414yes—
60C2×C5×D12C2×C414yes—
61C2×C5×D12C2×C414yes—
62C2×C4×C5×D3—42no—
63C2×C4×C5×D3—42no—
64C2×C4×C5×D3C2×C418yescomplemented
65C22×C3×Dic5C2311yescharacteristic
66C22×C3×Dic5C2311yescharacteristic
67C22×C3×Dic5C2312yes—
68C2×D3×Dic5—42no—
69C2×D3×Dic5—42no—
70C2×D3×Dic5—42no—
71C2×D3×Dic5—42no—
72C2×D3×Dic5C2×C418yescomplemented
73C2×D3×Dic5C2×C418yescomplemented
74C3×C5×C4⋊C4C2×C414yescomplemented
75C4⋊Dic15C2×C414yescomplemented
76C4×Dic15—42no—
77C4×Dic15C2×C414yescomplemented
78C5×(C2×D3)⋊C4C2×C418yescomplemented
79C4×C5×Dic3C2×C414yescomplemented
80C3×C4⋊Dic5C2×C414yescomplemented
81C3×C4×Dic5—42no—
82C3×C4×Dic5C2×C414yescomplemented
83(C2×D3)⋊Dic5C2×C418yescomplemented
84(C2×D3)⋊Dic5C2×C418yescomplemented
85Dic3×Dic5—42no—
86C2×#893—51no—
87C2×#893D511yescharacteristic
88C2×C4×D12—51no—
89C3×C4×C4⋊C4—51no—
90Dic3×C4⋊C4—51no—
91Dic3×C4⋊C4—51no—
92C4×(C2×D3)⋊C4—52no—
93C4×(C2×D3)⋊C4—52no—
94#4932—51no—
95#4666—52no—
96D3×#95—52no—
97C22×C5×D4—31no—
98C23×C4×C5—32no—
99C23×Dic5—32no—
100C23×Dic5—32no—
101C4×C5×D4—38no—
102C2×C5×C4⋊C4C2×D311yescharacteristic
103C2×C5×C22⋊C4—32no—
104C2×C42×C5—31no—
105C2×C22⋊Dic5—32no—
106C2×C22⋊Dic5—32no—
107D4×Dic5—38no—
108D4×Dic5—38no—
109C2×C4⋊Dic5—31no—
110C2×C4⋊Dic5C2×D311yescharacteristic
111C2×C4×Dic5—31no—
112C2×C4×Dic5—32no—
113C2×C4×Dic5—32no—
114C2×C4×Dic5C2×D312yes—
115C2×C4×Dic5C2×D311yescharacteristic
116#3963—32no—
117#3963—31no—
118#3963—31no—
119#3963—31no—
120#3963—31no—
121#3963—32no—
122#3963C2×D312yes—
123#2275—151noSylow
124C23×C3×C5C2411yescharacteristic
125C22×C5×D3—22no—
126C22×C5×D3—22no—
127C22×C5×D3—22no—
128C22×C5×D3—22no—
129C22×C5×D3C22×C414yes—
130C22×C5×D3C22×C414yes—
131C22×C5×D3C22×C414yes—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5C22×C414yes—
135C2×C3×C4×C5C22×C412yes—
136C2×C3×C4×C5C22×C412yes—
137C2×C3×C4×C5C22×C412yes—
138C2×Dic15—22no—
139C2×Dic15—21no—
140C2×Dic15—22no—
141C2×Dic15—21no—
142C2×Dic15—21no—
143C2×Dic15—21no—
144C2×Dic15C22×C412yes—
145C2×Dic15C22×C414yes—
146C2×Dic15C22×C412yes—
147C2×C5×Dic3—21no—
148C2×C5×Dic3—21no—
149C2×C5×Dic3—21no—
150C2×C5×Dic3—21no—
151C2×C5×Dic3C22×C412yes—
152C2×C5×Dic3C22×C412yes—
153C5×D12C42116yescomplemented
154C4×C5×D3—48no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—21no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—21no—
159C2×C3×Dic5—21no—
160C2×C3×Dic5—21no—
161C2×C3×Dic5C22×C412yes—
162C2×C3×Dic5C22×C414yes—
163C2×C3×Dic5C22×C412yes—
164D3×Dic5—48no—
165D3×Dic5—48no—
166C22×D12C2×D511yescharacteristic
167C22×C4×D3—52no—
168C22×C4×D3—52no—
169C22×C4×D3C2×D512yes—
170C2×C3×C4⋊C4—51no—
171C2×C3×C4⋊C4C2×D511yescharacteristic
172C2×C3×C42—51no—
173C2×C3×C42—52no—
174C2×(C2×D3)⋊C4—52no—
175C2×(C2×D3)⋊C4—52no—
176C2×(C2×D3)⋊C4C2×D512yes—
177C2×C4⋊Dic3—51no—
178C2×C4×Dic3—51no—
179C2×C4×Dic3—52no—
180C2×C4×Dic3—52no—
181C2×C4×Dic3C2×D511yescharacteristic
182#893—58no—
183#893Dic518yescomplemented
184C4×D12—58no—
185C3×#95—52no—
186C3⋊#95—52no—
187C3⋊#95—51no—
188C3⋊#95—52no—
189C3⋊#95—51no—
190C3⋊#95—51no—
191C3⋊#95—51no—
192C24×C5—32no—
193C2×C5×D4—34no—
194C2×C5×D4—34no—
195C2×C5×D4—34no—
196C22×C4×C5—31no—
197C22×C4×C5—31no—
198C22×C4×C5—38no—
199C22×C4×C5—122no—
200C22×C4×C5—122no—
201C22×C4×C5C22×D312yes—
202C22×C4×C5C22×D311yescharacteristic
203C22×Dic5—31no—
204C22×Dic5—32no—
205C22×Dic5—31no—
206C22×Dic5—38no—
207C22×Dic5—38no—
208C22×Dic5—122no—
209C22×Dic5—122no—
210C22×Dic5—122no—
211C22×Dic5—122no—
212C22×Dic5C22×D311yescharacteristic
213C22×Dic5C22×D312yes—
214C22×Dic5C22×D311yescharacteristic
215C5×C4⋊C4C4×D314yescomplemented
216C5×C22⋊C4—38no—
217C42×C5—34no—
218C22⋊Dic5—38no—
219C22⋊Dic5—38no—
220C4⋊Dic5—34no—
221C4⋊Dic5C4×D314yescomplemented
222C4×Dic5—34no—
223C4×Dic5—42no—
224C4×Dic5—122no—
225C4×Dic5—122no—
226C4×Dic5C4×D314yescomplemented
227C2×C4×D4—31no—
228C2×C4×D4—151no—
229C2×C4×D4—151no—
230C4×C4⋊C4—51no—
231C4×C4⋊C4—151no—
232C4×C4⋊C4—151no—
233C4×C22⋊C4—152no—
234C4×C22⋊C4—152no—
235C4×C22⋊C4—152no—
236#376—151no—
237C2×#95—152no—
238C22×C3×C5C23×C411yescharacteristic
239C22×C3×C5C23×C411yescharacteristic
240C22×C3×C5C23×C411yescharacteristic
241C22×C3×C5H(5,𝔽2)11yescharacteristic
242C22×C3×C5H(5,𝔽2)11yescharacteristic
243C22×C3×C5H(5,𝔽2)11yescharacteristic
244C22×C3×C52−1+411yescharacteristic
245C2×C5×D3—24no—
246C2×C5×D3—24no—
247C2×C5×D3—24no—
248C2×C5×D3—24no—
249C2×C5×D3—24no—
250C2×C5×D3—24no—
251C2×C5×D3C2×C4218yes—
252C3×C4×C5—24no—
253C3×C4×C5C2×C4214yes—
254Dic15—22no—
255Dic15—24no—
256Dic15—22no—
257C3×Dic5—22no—
258C3×Dic5—24no—
259C3×Dic5—22no—
260C5×Dic3—22no—
261C5×Dic3—22no—
262C23×D3C22×D512yes—
263C22×C3×C4—51no—
264C22×C3×C4—51no—
265C22×C3×C4—52no—
266C22×C3×C4C22×D512yes—
267C22×C3×C4C22×D511yescharacteristic
268C22×Dic3—51no—
269C22×Dic3—51no—
270C22×Dic3—52no—
271C22×Dic3C22×D511yescharacteristic
272C22×Dic3C22×D511yescharacteristic
273C2×D12C4×D514yes—
274C2×D12C4×D514yes—
275C2×D12C2×Dic514yes—
276C2×C4×D3—42no—
277C2×C4×D3—42no—
278C2×C4×D3—58no—
279C2×C4×D3—58no—
280C2×C4×D3—202no—
281C2×C4×D3—202no—
282C2×C4×D3—202no—
283C2×C4×D3—202no—
284C2×C4×D3C2×Dic518yescomplemented
285C3×C4⋊C4—54no—
286C3×C4⋊C4C2×Dic514yescomplemented
287C3×C42—54no—
288C3×C42—202no—
289(C2×D3)⋊C4—58no—
290(C2×D3)⋊C4—58no—
291(C2×D3)⋊C4C2×Dic518yescomplemented
292C4⋊Dic3—54no—
293C4×Dic3—54no—
294C4×Dic3—202no—
295C4×Dic3—202no—
296C4×Dic3C2×Dic514yescomplemented
297C23×C5—34no—
298C23×C5—34no—
299C23×C5—34no—
300C23×C5—62no—
301C23×C5—62no—
302C23×C5—62no—
303C23×C5—62no—
304C23×C5C23×D311yescharacteristic
305C5×D4—316no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5—32no—
309C2×C4×C5—32no—
310C2×C4×C5—61no—
311C2×C4×C5—61no—
312C2×C4×C5—61no—
313C2×C4×C5—61no—
314C2×C4×C5—128no—
315C2×C4×C5C2×C4×D312yes—
316C2×C4×C5C2×C4×D312yes—
317C2×C4×C5C2×C4×D314yes—
318C2×C4×C5C2×C4×D312yes—
319C2×Dic5—21no—
320C2×Dic5—22no—
321C2×Dic5—21no—
322C2×Dic5—22no—
323C2×Dic5—21no—
324C2×Dic5—21no—
325C2×Dic5—32no—
326C2×Dic5—32no—
327C2×Dic5—34no—
328C2×Dic5—61no—
329C2×Dic5—61no—
330C2×Dic5—61no—
331C2×Dic5—62no—
332C2×Dic5—62no—
333C2×Dic5—61no—
334C2×Dic5—128no—
335C2×Dic5—128no—
336C2×Dic5C2×C4×D312yes—
337C2×Dic5C2×C4×D312yes—
338C2×Dic5C2×C4×D314yes—
339C22×D4—31no—
340C23×C4—32no—
341C23×C4—152no—
342C23×C4—152no—
343C4×D4—38no—
344C4×D4—158no—
345C4×D4—158no—
346C2×C4⋊C4—51no—
347C2×C4⋊C4—151no—
348C2×C4⋊C4D3×D511yescharacteristic
349C2×C22⋊C4—32no—
350C2×C22⋊C4—152no—
351C2×C22⋊C4—152no—
352C2×C42—31no—
353C2×C42—51no—
354C2×C42—52no—
355C2×C42—151no—
356C2×C42—152no—
357C2×C42—152no—
358#95—52no—
359#95—151no—
360#95—152no—
361#95—151no—
362#95—151no—
363#95—151no—
364#95—152no—
365C2×C3×C5C22×C4211yescharacteristic
366C2×C3×C5#51811yescharacteristic
367C2×C3×C5#51811yescharacteristic
368C2×C3×C5#51811yescharacteristic
369C2×C3×C5#52011yescharacteristic
370C2×C3×C5#52011yescharacteristic
371C2×C3×C5#52011yescharacteristic
372C5×D3—28no—
373C23×C3C23×D511yescharacteristic
374C22×D3—22no—
375C22×D3—22no—
376C22×D3—22no—
377C22×D3—22no—
378C22×D3C2×C4×D514yes—
379C22×D3C2×C4×D514yes—
380C22×D3C22×Dic514yes—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—52no—
384C2×C3×C4—54no—
385C2×C3×C4—52no—
386C2×C3×C4—101no—
387C2×C3×C4—102no—
388C2×C3×C4—101no—
389C2×C3×C4—102no—
390C2×C3×C4—101no—
391C2×C3×C4—101no—
392C2×C3×C4C2×C4×D512yes—
393C2×C3×C4C2×C4×D512yes—
394C2×C3×C4C22×Dic514yes—
395C2×C3×C4C22×Dic512yes—
396C2×Dic3—21no—
397C2×Dic3—21no—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3—52no—
401C2×Dic3—52no—
402C2×Dic3—54no—
403C2×Dic3—101no—
404C2×Dic3—102no—
405C2×Dic3—101no—
406C2×Dic3—102no—
407C2×Dic3—101no—
408C2×Dic3—101no—
409C2×Dic3C22×Dic512yes—
410C2×Dic3C22×Dic512yes—
411D12C4×Dic5116yescomplemented
412C4×D3—48no—
413C4×D3—208no—
414C4×D3—208no—
415C22×C5—38no—
416C22×C5—64no—
417C22×C5—64no—
418C22×C5—64no—
419C22×C5—64no—
420C22×C5—64no—
421C22×C5—64no—
422C22×C5C22×C4×D311yescharacteristic
423C22×C5C22×C4×D311yescharacteristic
424C22×C5C22×C4×D311yescharacteristic
425C22×C5#100411yescharacteristic
426C22×C5#100711yescharacteristic
427C22×C5#100911yescharacteristic
428C22×C5#100911yescharacteristic
429C4×C5—24no—
430C4×C5—62no—
431C4×C5—62no—
432C4×C5C42×D314yes—
433Dic5—22no—
434Dic5—22no—
435Dic5—24no—
436Dic5—64no—
437Dic5—62no—
438Dic5—62no—
439C24—32no—
440C2×D4—34no—
441C2×D4—34no—
442C2×D4—34no—
443C22×C4—31no—
444C22×C4—31no—
445C22×C4—38no—
446C22×C4—51no—
447C22×C4—52no—
448C22×C4—51no—
449C22×C4—122no—
450C22×C4—122no—
451C22×C4—158no—
452C22×C4—158no—
453C22×C4—151no—
454C22×C4—151no—
455C22×C4—152no—
456C22×C4—602no—
457C22×C4—602no—
458C22×C4—602no—
459C22×C4—602no—
460C22×C4C2×D3×D512yes—
461C22×C4C2×D3×D511yescharacteristic
462C4⋊C4—54no—
463C4⋊C4—154no—
464C4⋊C4D3×Dic514yescomplemented
465C22⋊C4—38no—
466C22⋊C4—158no—
467C22⋊C4—158no—
468C42—34no—
469C42—54no—
470C42—154no—
471C42—202no—
472C42—602no—
473C42—602no—
474C3×C5#227511yescharacteristic, complemented, Hall
475C22×C3C22×C4×D511yescharacteristic
476C22×C3C22×C4×D511yescharacteristic
477C22×C3#414411yescharacteristic
478C22×C3#414411yescharacteristic
479C22×C3#414911yescharacteristic
480C22×C3#415011yescharacteristic
481C22×C3C23×Dic511yescharacteristic
482C2×D3—24no—
483C2×D3—24no—
484C2×D3—24no—
485C2×D3—24no—
486C2×D3—24no—
487C2×D3—24no—
488C2×D3C2×C4×Dic518yes—
489C3×C4—24no—
490C3×C4—102no—
491C3×C4—104no—
492C3×C4—102no—
493C3×C4C2×C4×Dic514yes—
494Dic3—22no—
495Dic3—22no—
496Dic3—102no—
497Dic3—104no—
498Dic3—102no—
499C2×C5—68no—
500C2×C5C2×C42×D311yescharacteristic
501C2×C5#550411yescharacteristic
502C2×C5#552111yescharacteristic
503C2×C5#554511yescharacteristic
504C2×C5#554511yescharacteristic
505C2×C5#557411yescharacteristic
506C2×C5#557411yescharacteristic
507C23—34no—
508C23—34no—
509C23—34no—
510C23—62no—
511C23—62no—
512C23—62no—
513C23—62no—
514C23C22×D3×D511yescharacteristic
515D4—316no—
516C2×C4—22no—
517C2×C4—22no—
518C2×C4—32no—
519C2×C4—32no—
520C2×C4—52no—
521C2×C4—52no—
522C2×C4—54no—
523C2×C4—61no—
524C2×C4—61no—
525C2×C4—61no—
526C2×C4—61no—
527C2×C4—101no—
528C2×C4—102no—
529C2×C4—101no—
530C2×C4—101no—
531C2×C4—102no—
532C2×C4—101no—
533C2×C4—128no—
534C2×C4—152no—
535C2×C4—152no—
536C2×C4—154no—
537C2×C4—301no—
538C2×C4—301no—
539C2×C4—302no—
540C2×C4—301no—
541C2×C4—302no—
542C2×C4—301no—
543C2×C4—608no—
544C2×C4—608no—
545C2×C4C4×D3×D512yes—
546C2×C4C4×D3×D512yes—
547C2×C4C2×D3×Dic514yes—
548C2×C4C2×D3×Dic512yes—
549C2×C3#6587911yescharacteristic
550C2×C3#6587911yescharacteristic
551C2×C3#6588011yescharacteristic
552C2×C3#6588011yescharacteristic
553C2×C3C22×C4×Dic511yescharacteristic
554C2×C3#6613211yescharacteristic
555C2×C3#6616111yescharacteristic
556D3—28no—
557C5#7375111yescharacteristic, complemented, Sylow
558C22—38no—
559C22—64no—
560C22—64no—
561C22—64no—
562C22—64no—
563C22—64no—
564C22—64no—
565C22C2×C4×D3×D511yescharacteristic
566C22C2×C4×D3×D511yescharacteristic
567C22#9202511yescharacteristic
568C22#9202711yescharacteristic
569C22#9203011yescharacteristic
570C22#9203511yescharacteristic
571C22C22×D3×Dic511yescharacteristic
572C4—24no—
573C4—62no—
574C4—62no—
575C4—102no—
576C4—104no—
577C4—102no—
578C4—304no—
579C4—302no—
580C4—302no—
581C4C4×D3×Dic514yes—
582C3#1061404811yescharacteristic, complemented, Sylow
583C2—68no—
584C2#1175340711yescharacteristic
585C2#1175367111yescharacteristic
586C2#1175383711yescharacteristic
587C2#1175384111yescharacteristic
588C2C2×C4×D3×Dic511yescharacteristic
589C2#1175491411yescharacteristic
590C2#1175522011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC2×C3×C5C22×C42
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×D12C22
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5#2275
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. C4⋊C4×Dic15C2semidirect
5. C3×C4⋊C4×Dic5C2semidirect
6. #11748886C2semidirect
7. D3×#3963C2semidirect
8. Dic5×(C2×D3)⋊C4C2semidirect
9. C4×(C2×D3)⋊Dic5C2semidirect
10. Dic3×C4⋊Dic5C2semidirect
11. #11748611C2semidirect
23. C5×#893C4semidirect
30. #91435C4semidirect
31. Dic5×D12C4semidirect
46. C4⋊C4×Dic5D3semidirect
64. C2×C4×C5×D3C2×C4semidirect
72. C2×D3×Dic5C2×C4semidirect
73. C2×D3×Dic5C2×C4semidirect
74. C3×C5×C4⋊C4C2×C4semidirect
75. C4⋊Dic15C2×C4semidirect
77. C4×Dic15C2×C4semidirect
78. C5×(C2×D3)⋊C4C2×C4semidirect
79. C4×C5×Dic3C2×C4semidirect
80. C3×C4⋊Dic5C2×C4semidirect
82. C3×C4×Dic5C2×C4semidirect
83. (C2×D3)⋊Dic5C2×C4semidirect
84. (C2×D3)⋊Dic5C2×C4semidirect
153. C5×D12C42semidirect
183. #893Dic5semidirect
215. C5×C4⋊C4C4×D3semidirect
221. C4⋊Dic5C4×D3semidirect
226. C4×Dic5C4×D3semidirect
284. C2×C4×D3C2×Dic5semidirect
286. C3×C4⋊C4C2×Dic5semidirect
291. (C2×D3)⋊C4C2×Dic5semidirect
296. C4×Dic3C2×Dic5semidirect
411. D12C4×Dic5semidirect
464. C4⋊C4D3×Dic5semidirect
474. C3×C5#2275semidirect
557. C5#73751semidirect
582. C3#10614048semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#8932
C2×#914352
C2×Dic5×D122
C4⋊C4×Dic152
C3×C4⋊C4×Dic52
#117488862
D3×#39632
Dic5×(C2×D3)⋊C42
C4×(C2×D3)⋊Dic52
Dic3×C4⋊Dic52
#117486112
#106140483
#737515