Finite Group Databasebeta

← C3×#10608020 #14320824

Subgroups — C3×#10608020 #14320824

Order 1920.

1304 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×C3×D4×Dic5C211yesmaximal, characteristic
2C2×C3×#4023C212yesmaximal, complemented
3C3×C5×#390C211yesmaximal, characteristic
4C3×#65510C211yesmaximal, characteristic
5C3×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
6C3×#65262C211yesmaximal, characteristic, complemented
7C3×#65234C212yesmaximal, complemented
8C3×#65233C212yesmaximal, complemented
9C3×C22⋊C4×Dic5C212yesmaximal, complemented
10C3×C42×Dic5C211yesmaximal, characteristic, complemented
11C3×#65217C211yesmaximal, characteristic, complemented
12#10608020C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×Dic5C2212yes—
15C2×C3×C5×C4⋊C4C2211yescharacteristic
16C2×C3×C5×C22⋊C4C2212yes—
17C2×C3×C5×C22⋊C4C2212yes—
18C2×C3×C42×C5C2211yescharacteristic
19C2×C3×C22⋊Dic5C2212yes—
20C2×C3×C22⋊Dic5C2212yes—
21C2×C3×C22⋊Dic5C2212yes—
22C3×D4×Dic5C418yescomplemented
23C2×C3×C4⋊Dic5C2211yescharacteristic
24C2×C3×C4⋊Dic5C2211yescharacteristic
25C2×C3×#683C2212yes—
26C2×C3×#683C2212yes—
27C2×C3×C4×Dic5C2211yescharacteristic
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×C3×C4×Dic5C2211yescharacteristic
30C2×C3×C4×Dic5C2211yescharacteristic
31C2×C3×C4×Dic5C2212yes—
32C2×C3×C4×Dic5C2211yescharacteristic
33C2×C3×C4×Dic5C2211yescharacteristic
34C3×#4023—28no—
35C3×#3963C2212yes—
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38C3×#2293—51nomaximal, Hall
39C2×D4×Dic5C2×C311yescharacteristic
40C2×#4023C2×C312yescomplemented
41C5×#390C2×C311yescharacteristic
42#65510C2×C311yescharacteristic
43C4⋊C4×Dic5C2×C311yescharacteristic, complemented
44#65262C2×C311yescharacteristic, complemented
45#65234C2×C312yescomplemented
46#65233C2×C312yescomplemented
47C22⋊C4×Dic5C2×C312yescomplemented
48C42×Dic5C2×C311yescharacteristic, complemented
49#65217C2×C311yescharacteristic, complemented
50C24×C3×C5C2312yes—
51C2×C3×C5×D4—22no—
52C2×C3×C5×D4—22no—
53C2×C3×C5×D4C2×C414yes—
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×Dic5—24no—
59C22×C3×Dic5—24no—
60C22×C3×Dic5C2×C418yes—
61C22×C3×Dic5C2312yes—
62C22×C3×Dic5C2311yescharacteristic
63C22×C3×Dic5C2312yes—
64C22×C3×Dic5C2311yescharacteristic
65C22×C3×Dic5C2311yescharacteristic
66C22×C3×Dic5C2311yescharacteristic
67C3×C5×C4⋊C4—22no—
68C3×C5×C22⋊C4—24no—
69C3×C5×C22⋊C4—24no—
70C3×C42×C5—22no—
71C3×C22⋊Dic5—24no—
72C3×C22⋊Dic5—24no—
73C3×C22⋊Dic5C2×C418yes—
74C3×C4⋊Dic5—22no—
75C3×C4⋊Dic5C2×C414yes—
76C3×#683—24no—
77C3×#683—24no—
78C3×C4×Dic5—22no—
79C3×C4×Dic5—22no—
80C3×C4×Dic5—24no—
81C3×C4×Dic5—22no—
82C3×C4×Dic5—22no—
83C3×C4×Dic5C2×C414yes—
84C3×C4×Dic5D414yescomplemented
85C2×C3×C4×D4—51no—
86C2×C3×#117—52no—
87C3×#390—51no—
88C3×#390D511yescharacteristic
89C3×#389—51no—
90C3×#389—51no—
91C3×#388—52no—
92C3×#388—52no—
93C3×C4×C4⋊C4—51no—
94C3×C4×C22⋊C4—52no—
95C3×C43—51no—
96C22×C5×D4C22×C311yescharacteristic
97C23×Dic5C22×C312yes—
98C2×C5×C4⋊C4C22×C311yescharacteristic
99C2×C5×C22⋊C4C22×C312yes—
100C2×C5×C22⋊C4C22×C312yes—
101C2×C42×C5C22×C311yescharacteristic
102C2×C22⋊Dic5C22×C312yes—
103C2×C22⋊Dic5C22×C312yes—
104C2×C22⋊Dic5C22×C312yes—
105D4×Dic5C3×C418yescomplemented
106C2×C4⋊Dic5C22×C311yescharacteristic
107C2×C4⋊Dic5C22×C311yescharacteristic
108C2×#683C22×C312yes—
109C2×#683C22×C312yes—
110C2×C4×Dic5C22×C312yes—
111C2×C4×Dic5C22×C311yescharacteristic
112C2×C4×Dic5C22×C311yescharacteristic
113C2×C4×Dic5C22×C311yescharacteristic
114C2×C4×Dic5C22×C311yescharacteristic
115C2×C4×Dic5C22×C311yescharacteristic
116C2×C4×Dic5C22×C311yescharacteristic
117#4023—28no—
118#3963C22×C312yes—
119#3963C22×C312yes—
120#3963C22×C312yes—
121#2293—51noSylow
122C23×C3×C5—22no—
123C23×C3×C5—22no—
124C23×C3×C5—22no—
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—22no—
128C23×C3×C5C22×C414yes—
129C23×C3×C5C2411yescharacteristic
130C3×C5×D4—28no—
131C2×C3×C4×C5—21no—
132C2×C3×C4×C5—21no—
133C2×C3×C4×C5—21no—
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—22no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5C22×C412yes—
139C2×C3×C4×C5C2×D412yes—
140C2×C3×C4×C5#4112yes—
141C2×C3×C4×C5#4112yes—
142C2×C3×C4×C5#4112yes—
143C2×C3×Dic5—22no—
144C2×C3×Dic5—21no—
145C2×C3×Dic5—21no—
146C2×C3×Dic5—21no—
147C2×C3×Dic5—21no—
148C2×C3×Dic5—21no—
149C2×C3×Dic5—21no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—216no—
152C2×C3×Dic5—22no—
153C2×C3×Dic5—22no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5C22×C412yes—
156C2×C3×Dic5C22×C414yes—
157C2×C3×Dic5C22×C412yes—
158C2×C3×Dic5C2×D412yes—
159C2×C3×Dic5C2×D412yes—
160C2×C3×Dic5#4112yes—
161C2×C3×Dic5#4112yes—
162C22×C3×D4C2×D511yescharacteristic
163C23×C3×C4—52no—
164C3×C4×D4—58no—
165C3×#117—108no—
166C2×C3×C4⋊C4—51no—
167C2×C3×C4⋊C4—51no—
168C2×C3×C4⋊C4—52no—
169C2×C3×C4⋊C4—52no—
170C2×C3×C4⋊C4C2×D511yescharacteristic
171C2×C3×C22⋊C4—52no—
172C2×C3×C22⋊C4—52no—
173C2×C3×C22⋊C4—52no—
174C2×C3×C22⋊C4C2×D512yes—
175C2×C3×C22⋊C4C2×D512yes—
176C2×C3×C42—51no—
177C2×C3×C42—51no—
178C2×C3×C42—51no—
179C2×C3×C42—51no—
180C2×C3×C42—51no—
181C2×C3×C42—51no—
182C2×C3×C42—52no—
183C2×C3×C42C2×D511yescharacteristic
184C3×#95—52no—
185C3×#95—52no—
186C3×#95—52no—
187C24×C5C23×C312yes—
188C2×C5×D4—22no—
189C2×C5×D4—22no—
190C2×C5×D4C2×C3×C414yes—
191C22×C4×C5C23×C312yes—
192C22×C4×C5C23×C311yescharacteristic
193C22×C4×C5C23×C311yescharacteristic
194C22×C4×C5C23×C311yescharacteristic
195C22×Dic5—24no—
196C22×Dic5—24no—
197C22×Dic5C2×C3×C418yes—
198C22×Dic5C23×C312yes—
199C22×Dic5C23×C311yescharacteristic
200C22×Dic5C23×C312yes—
201C22×Dic5C23×C311yescharacteristic
202C22×Dic5C23×C311yescharacteristic
203C22×Dic5C23×C311yescharacteristic
204C5×C4⋊C4—22no—
205C5×C22⋊C4—24no—
206C5×C22⋊C4—24no—
207C42×C5—22no—
208C22⋊Dic5—24no—
209C22⋊Dic5—24no—
210C22⋊Dic5C2×C3×C418yes—
211C4⋊Dic5—22no—
212C4⋊Dic5C2×C3×C414yes—
213#683—24no—
214#683—24no—
215C4×Dic5—22no—
216C4×Dic5—22no—
217C4×Dic5—24no—
218C4×Dic5—22no—
219C4×Dic5—22no—
220C4×Dic5C2×C3×C414yes—
221C4×Dic5C3×D414yescomplemented
222C2×C4×D4—51no—
223C2×#117—52no—
224#390—51no—
225#390C3×D511yescharacteristic
226#389—51no—
227#389—51no—
228#388—52no—
229#388—52no—
230C4×C4⋊C4—51no—
231C4×C22⋊C4—52no—
232C43—51no—
233C22×C3×C5—24no—
234C22×C3×C5—24no—
235C22×C3×C5—24no—
236C22×C3×C5—42no—
237C22×C3×C5—42no—
238C22×C3×C5—42no—
239C22×C3×C5—42no—
240C22×C3×C5C23×C411yescharacteristic
241C22×C3×C5C22×D411yescharacteristic
242C22×C3×C5C2×#4111yescharacteristic
243C22×C3×C5C2×#4111yescharacteristic
244C22×C3×C5C2×#4111yescharacteristic
245C22×C3×C5C2×#4111yescharacteristic
246C22×C3×C5C2×#4111yescharacteristic
247C3×C4×C5—22no—
248C3×C4×C5—22no—
249C3×C4×C5—42no—
250C3×C4×C5#11714yescomplemented
251C3×Dic5—24no—
252C3×Dic5—22no—
253C3×Dic5—22no—
254C3×Dic5—22no—
255C3×Dic5—42no—
256C3×Dic5C4×D414yes—
257C24×C3C22×D512yes—
258C2×C3×D4—22no—
259C2×C3×D4—22no—
260C2×C3×D4C4×D514yes—
261C22×C3×C4—51no—
262C22×C3×C4—58no—
263C22×C3×C4—51no—
264C22×C3×C4—51no—
265C22×C3×C4—52no—
266C22×C3×C4—51no—
267C22×C3×C4—52no—
268C22×C3×C4—104no—
269C22×C3×C4—104no—
270C22×C3×C4C22×D512yes—
271C22×C3×C4C22×D511yescharacteristic
272C22×C3×C4C22×D511yescharacteristic
273C22×C3×C4C22×D511yescharacteristic
274C3×C4⋊C4—22no—
275C3×C4⋊C4—54no—
276C3×C4⋊C4—104no—
277C3×C4⋊C4—104no—
278C3×C4⋊C4—102no—
279C3×C22⋊C4—24no—
280C3×C22⋊C4—24no—
281C3×C22⋊C4—58no—
282C3×C22⋊C4—104no—
283C3×C22⋊C4—104no—
284C3×C42—22no—
285C3×C42—54no—
286C3×C42—54no—
287C3×C42—102no—
288C3×C42—102no—
289C3×C42—104no—
290C3×C42—102no—
291C3×C42—102no—
292C23×C5—22no—
293C23×C5—22no—
294C23×C5—22no—
295C23×C5—22no—
296C23×C5—22no—
297C23×C5—22no—
298C23×C5C22×C3×C414yes—
299C23×C5C24×C311yescharacteristic
300C5×D4—28no—
301C2×C4×C5—21no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5C22×C3×C412yes—
309C2×C4×C5C2×C3×D412yes—
310C2×C4×C5C3×#4112yes—
311C2×C4×C5C3×#4112yes—
312C2×C4×C5C3×#4112yes—
313C2×Dic5—22no—
314C2×Dic5—21no—
315C2×Dic5—21no—
316C2×Dic5—21no—
317C2×Dic5—21no—
318C2×Dic5—21no—
319C2×Dic5—21no—
320C2×Dic5—22no—
321C2×Dic5—216no—
322C2×Dic5—22no—
323C2×Dic5—22no—
324C2×Dic5—22no—
325C2×Dic5C22×C3×C412yes—
326C2×Dic5C22×C3×C414yes—
327C2×Dic5C22×C3×C412yes—
328C2×Dic5C2×C3×D412yes—
329C2×Dic5C2×C3×D412yes—
330C2×Dic5C3×#4112yes—
331C2×Dic5C3×#4112yes—
332C22×D4C2×C3×D511yescharacteristic
333C23×C4—52no—
334C4×D4—58no—
335#117—108no—
336C2×C4⋊C4—51no—
337C2×C4⋊C4—52no—
338C2×C4⋊C4—52no—
339C2×C4⋊C4—51no—
340C2×C4⋊C4C2×C3×D511yescharacteristic
341C2×C22⋊C4—52no—
342C2×C22⋊C4—52no—
343C2×C22⋊C4—52no—
344C2×C22⋊C4C2×C3×D512yes—
345C2×C22⋊C4C2×C3×D512yes—
346C2×C42—51no—
347C2×C42—51no—
348C2×C42—52no—
349C2×C42—51no—
350C2×C42—51no—
351C2×C42—51no—
352C2×C42—51no—
353C2×C42C2×C3×D511yescharacteristic
354#95—52no—
355#95—52no—
356#95—52no—
357C2×C3×C5—44no—
358C2×C3×C5C2×#11711yescharacteristic
359C2×C3×C5C2×C4×D411yescharacteristic
360C2×C3×C5C4×#4111yescharacteristic
361C2×C3×C5#52911yescharacteristic
362C2×C3×C5#52911yescharacteristic
363C2×C3×C5#53211yescharacteristic
364C2×C3×C5#53211yescharacteristic
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3C2×C4×D514yes—
372C23×C3C23×D511yescharacteristic
373C3×D4—28no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—52no—
382C2×C3×C4—52no—
383C2×C3×C4—52no—
384C2×C3×C4—52no—
385C2×C3×C4—54no—
386C2×C3×C4—52no—
387C2×C3×C4—52no—
388C2×C3×C4—1016no—
389C2×C3×C4—102no—
390C2×C3×C4—101no—
391C2×C3×C4—101no—
392C2×C3×C4—101no—
393C2×C3×C4—101no—
394C2×C3×C4—101no—
395C2×C3×C4—101no—
396C2×C3×C4—102no—
397C2×C3×C4—102no—
398C2×C3×C4—102no—
399C2×C3×C4—102no—
400C2×C3×C4C2×C4×D512yes—
401C2×C3×C4D4×D512yes—
402C2×C3×C4#71112yes—
403C2×C3×C4#71112yes—
404C2×C3×C4#71112yes—
405C22×C5—24no—
406C22×C5—24no—
407C22×C5—24no—
408C22×C5—42no—
409C22×C5—42no—
410C22×C5—42no—
411C22×C5—42no—
412C22×C5C23×C3×C411yescharacteristic
413C22×C5C22×C3×D411yescharacteristic
414C22×C5C2×C3×#4111yescharacteristic
415C22×C5C2×C3×#4111yescharacteristic
416C22×C5C2×C3×#4111yescharacteristic
417C22×C5C2×C3×#4111yescharacteristic
418C22×C5C2×C3×#4111yescharacteristic
419C4×C5—22no—
420C4×C5—22no—
421C4×C5—42no—
422C4×C5C3×#11714yescomplemented
423Dic5—24no—
424Dic5—22no—
425Dic5—22no—
426Dic5—22no—
427Dic5—42no—
428Dic5C3×C4×D414yes—
429C24C22×C3×D512yes—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4C3×C4×D514yes—
433C22×C4—51no—
434C22×C4—58no—
435C22×C4—51no—
436C22×C4—51no—
437C22×C4—52no—
438C22×C4—51no—
439C22×C4—52no—
440C22×C4—104no—
441C22×C4—104no—
442C22×C4C22×C3×D512yes—
443C22×C4C22×C3×D511yescharacteristic
444C22×C4C22×C3×D511yescharacteristic
445C22×C4C22×C3×D511yescharacteristic
446C4⋊C4—22no—
447C4⋊C4—54no—
448C4⋊C4—104no—
449C4⋊C4—104no—
450C4⋊C4—102no—
451C22⋊C4—24no—
452C22⋊C4—24no—
453C22⋊C4—58no—
454C22⋊C4—104no—
455C22⋊C4—104no—
456C42—22no—
457C42—54no—
458C42—54no—
459C42—104no—
460C42—102no—
461C42—102no—
462C42—102no—
463C42—102no—
464C3×C5#229311yescharacteristic, complemented, Hall
465C22×C3—24no—
466C22×C3—24no—
467C22×C3—24no—
468C22×C3—42no—
469C22×C3—42no—
470C22×C3—42no—
471C22×C3—42no—
472C22×C3C22×C4×D511yescharacteristic
473C22×C3C2×D4×D511yescharacteristic
474C22×C3C2×#71111yescharacteristic
475C22×C3C2×#71111yescharacteristic
476C22×C3C2×#71111yescharacteristic
477C22×C3D5×#4111yescharacteristic
478C22×C3D5×#4111yescharacteristic
479C3×C4—22no—
480C3×C4—22no—
481C3×C4—42no—
482C3×C4—54no—
483C3×C4—102no—
484C3×C4—102no—
485C3×C4—104no—
486C3×C4—102no—
487C3×C4—202no—
488C3×C4#402314yescomplemented
489C2×C5—44no—
490C2×C5C2×C3×#11711yescharacteristic
491C2×C5C2×C3×C4×D411yescharacteristic
492C2×C5C3×C4×#4111yescharacteristic
493C2×C5C3×#52911yescharacteristic
494C2×C5C3×#52911yescharacteristic
495C2×C5C3×#53211yescharacteristic
496C2×C5C3×#53211yescharacteristic
497C23—22no—
498C23—22no—
499C23—22no—
500C23—22no—
501C23—22no—
502C23—22no—
503C23C2×C3×C4×D514yes—
504C23C23×C3×D511yescharacteristic
505D4—28no—
506C2×C4—21no—
507C2×C4—21no—
508C2×C4—21no—
509C2×C4—21no—
510C2×C4—22no—
511C2×C4—22no—
512C2×C4—22no—
513C2×C4—52no—
514C2×C4—52no—
515C2×C4—52no—
516C2×C4—52no—
517C2×C4—54no—
518C2×C4—52no—
519C2×C4—52no—
520C2×C4—1016no—
521C2×C4—102no—
522C2×C4—101no—
523C2×C4—101no—
524C2×C4—101no—
525C2×C4—101no—
526C2×C4—101no—
527C2×C4—101no—
528C2×C4—102no—
529C2×C4—102no—
530C2×C4—102no—
531C2×C4—102no—
532C2×C4C2×C3×C4×D512yes—
533C2×C4C3×D4×D512yes—
534C2×C4C3×#71112yes—
535C2×C4C3×#71112yes—
536C2×C4C3×#71112yes—
537C2×C3—44no—
538C2×C3C2×#402311yescharacteristic
539C2×C3C4×#71111yescharacteristic
540C2×C3C4×D4×D511yescharacteristic
541C2×C3#6593011yescharacteristic
542C2×C3#6593411yescharacteristic
543C2×C3#6601411yescharacteristic
544C2×C3#6605011yescharacteristic
545C5C3×#229311yescharacteristic, complemented, Sylow
546C22—24no—
547C22—24no—
548C22—24no—
549C22—42no—
550C22—42no—
551C22—42no—
552C22—42no—
553C22C22×C3×C4×D511yescharacteristic
554C22C2×C3×D4×D511yescharacteristic
555C22C2×C3×#71111yescharacteristic
556C22C2×C3×#71111yescharacteristic
557C22C2×C3×#71111yescharacteristic
558C22C3×D5×#4111yescharacteristic
559C22C3×D5×#4111yescharacteristic
560C4—22no—
561C4—22no—
562C4—42no—
563C4—54no—
564C4—102no—
565C4—104no—
566C4—102no—
567C4—102no—
568C4—202no—
569C4C3×#402314yescomplemented
570C3#1060802011yescharacteristic, direct product factor, Sylow
571C2—44no—
572C2C2×C3×#402311yescharacteristic
573C2C3×C4×#71111yescharacteristic
574C2C3×C4×D4×D511yescharacteristic
575C2C3×#6593011yescharacteristic
576C2C3×#6593411yescharacteristic
577C2C3×#6601411yescharacteristic
578C2C3×#6605011yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#390C2
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
cosocleC23×C5C24×C3
hypercenterC3×#390D5
hypocenterC5C3×#2293
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#390

Complements

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

NH ≅ G/Ntype
2. C2×C3×#4023C2semidirect
5. C3×C4⋊C4×Dic5C2semidirect
6. C3×#65262C2semidirect
7. C3×#65234C2semidirect
8. C3×#65233C2semidirect
9. C3×C22⋊C4×Dic5C2semidirect
10. C3×C42×Dic5C2semidirect
11. C3×#65217C2semidirect
12. #10608020C3direct (N × H)
22. C3×D4×Dic5C4semidirect
40. C2×#4023C2×C3semidirect
43. C4⋊C4×Dic5C2×C3semidirect
44. #65262C2×C3semidirect
45. #65234C2×C3semidirect
46. #65233C2×C3semidirect
47. C22⋊C4×Dic5C2×C3semidirect
48. C42×Dic5C2×C3semidirect
49. #65217C2×C3semidirect
84. C3×C4×Dic5D4semidirect
105. D4×Dic5C3×C4semidirect
221. C4×Dic5C3×D4semidirect
250. C3×C4×C5#117semidirect
422. C4×C5C3×#117semidirect
464. C3×C5#2293semidirect
488. C3×C4#4023semidirect
545. C5C3×#2293semidirect
569. C4C3×#4023semidirect
570. C3#10608020direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×D4×Dic52
C2×C3×#40232
C3×C5×#3902
C3×#655102
C3×C4⋊C4×Dic52
C3×#652622
C3×#652342
C3×#652332
C3×C22⋊C4×Dic52
C3×C42×Dic52
C3×#652172
#106080203
C3×#22935