Finite Group Databasebeta

← C4×#91405 #14319587

Subgroups — C4×#91405 #14319587

Order 1920.

1848 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#1203C211yesmaximal, characteristic
2C2×#91405C212yesmaximal
3C2×C4×#1200C211yesmaximal, characteristic, complemented
4C2×C4×D3×Dic5C211yesmaximal, characteristic, complemented
5C4×#6714C211yesmaximal, characteristic, complemented
6C4×C5×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
7C3×C42×Dic5C211yesmaximal, characteristic, complemented
8#11748875C212yesmaximal, complemented
9Dic5×(C2×D3)⋊C4C212yesmaximal, complemented
10C4×#6668C211yesmaximal, characteristic, complemented
11#11748638C212yesmaximal, complemented
12C4×#4027—31nomaximal, Hall
13C22×C4×D15C2211yescharacteristic
14C22×C4×C5×D3C2211yescharacteristic
15C22×#1203C2211yescharacteristic
16C22×#1200C2212yes—
17C22×D3×Dic5C2212yes—
18C2×C3×C42×C5C2211yescharacteristic
19C2×#6714C2212yes—
20C2×C4×Dic15C2211yescharacteristic
21C2×C5×(C2×D3)⋊C4C2212yes—
22C2×C4×C5×Dic3C2211yescharacteristic
23C2×C3×C4×Dic5C2212yes—
24C2×C3×C4×Dic5C2211yescharacteristic
25C2×C3×C4×Dic5C2212yes—
26C2×C3×C4×Dic5C2211yescharacteristic
27C2×#6668C2211yescharacteristic
28C2×#6668C2212yes—
29C2×#6667C2211yescharacteristic
30C2×(C2×D3)⋊Dic5C2211yescharacteristic
31C2×Dic3×Dic5C2212yes—
32C2×Dic3×Dic5C2212yes—
33C4×#1203C418yescomplemented
34#91405C4116yesdirect product factor
35C4×#1200—24no—
36C4×D3×Dic5—24no—
37#91115C2212yes—
38C5×C3⋊#95C2212yes—
39#90994C2212yes—
40C42×D12—51nomaximal, Hall
41C2×C4×C22⋊D5—31no—
42C22×C4×Dic5—31no—
43C2×#4027—32no—
44C2×C42×D5—31no—
45C4×C5×C22⋊C4—31no—
46C22⋊C4×Dic5—32no—
47C4×#685—31no—
48C4×#683—31no—
49C42×Dic5D311yescharacteristic, complemented
50#64955—32no—
51#64938—32no—
52C23×D15C2311yescharacteristic
53C23×C5×D3C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×Dic15C2312yes—
57C22×Dic15C2311yescharacteristic
58C2×C4×D15—22no—
59C2×C4×D15—22no—
60C2×C4×D15C2×C414yescomplemented
61C22×C5×Dic3C2312yes—
62C22×C5×Dic3C2311yescharacteristic
63C2×C4×C5×D3—22no—
64C2×C4×C5×D3—22no—
65C2×C4×C5×D3C2×C414yescomplemented
66C22×C3×Dic5C2311yescharacteristic
67C22×C3×Dic5C2311yescharacteristic
68C22×C3×Dic5C2312yes—
69C2×#1203C2×C418yes—
70C2×#1203C2×C414yes—
71C2×#1200—24no—
72C2×#1200—24no—
73C2×#1200C2×C418yescomplemented
74C2×D3×Dic5—24no—
75C2×D3×Dic5—24no—
76C2×D3×Dic5C2×C418yescomplemented
77C3×C42×C5—22no—
78#6714C2×C418yescomplemented
79C4×Dic15—22no—
80C5×(C2×D3)⋊C4C2×C418yescomplemented
81C4×C5×Dic3—22no—
82C3×C4×Dic5—24no—
83C3×C4×Dic5C2×C418yescomplemented
84C3×C4×Dic5C2×C414yescomplemented
85C3×C4×Dic5D414yescomplemented
86#6668C2×C418yescomplemented
87#6668C2×C414yescomplemented
88#6667C2×C414yescomplemented
89(C2×D3)⋊Dic5C2×C414yescomplemented
90Dic3×Dic5—24no—
91Dic3×Dic5—24no—
92C2×C4×D12—51no—
93C2×C4×D12—52no—
94C2×C42×D3—51no—
95C2×C42×D3—51no—
96C3×C43—51no—
97C4×(C2×D3)⋊C4—51no—
98C4×(C2×D3)⋊C4—52no—
99C4×(C2×D3)⋊C4—52no—
100C4×(C2×D3)⋊C4D511yescharacteristic, complemented
101C4×C4⋊Dic3—51no—
102C4×C4⋊Dic3—52no—
103C23×C4×C5—31no—
104C22×C22⋊D5—31no—
105C23×Dic5—32no—
106C22×C4×D5—31no—
107C22×C4×D5—32no—
108C2×C5×C22⋊C4—32no—
109C2×C42×C5—31no—
110C2×C42×C5C2×D311yescharacteristic
111C2×C22⋊Dic5—31no—
112C4×C22⋊D5—38no—
113C2×#685—32no—
114C2×#685—31no—
115C2×#683—32no—
116C2×#683—31no—
117C2×C4×Dic5—31no—
118C2×C4×Dic5—32no—
119C2×C4×Dic5—32no—
120C2×C4×Dic5—64no—
121C2×C4×Dic5C2×D312yes—
122C2×C4×Dic5C2×D312yes—
123C2×C4×Dic5C2×D311yescharacteristic
124C2×C4×Dic5C2×D311yescharacteristic
125#4027—316no—
126C42×D5—64no—
127C5×#95—32no—
128#3963—32no—
129#3963—32no—
130C42×D4—151noSylow
131C23×C3×C5C2411yescharacteristic
132C22×D15—21no—
133C22×D15—22no—
134C22×D15—21no—
135C22×D15C22×C412yes—
136C22×D15C22×C414yes—
137C22×C5×D3—21no—
138C22×C5×D3—22no—
139C22×C5×D3—21no—
140C22×C5×D3C22×C412yes—
141C22×C5×D3C22×C414yes—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5C22×C414yes—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C2×D412yes—
147C2×C3×C4×C5#4112yes—
148C2×Dic15—21no—
149C2×Dic15—22no—
150C2×Dic15—22no—
151C2×Dic15—21no—
152C2×Dic15C22×C412yes—
153C2×Dic15C22×C414yes—
154C4×D15—28no—
155C2×C5×Dic3—21no—
156C2×C5×Dic3—22no—
157C2×C5×Dic3—22no—
158C2×C5×Dic3—21no—
159C2×C5×Dic3C22×C412yes—
160C2×C5×Dic3C22×C414yes—
161C4×C5×D3—28no—
162C2×C3×Dic5—22no—
163C2×C3×Dic5C22×C412yes—
164C2×C3×Dic5C22×C414yes—
165C2×C3×Dic5C22×C412yes—
166C2×C3×Dic5C22×C414yes—
167C2×C3×Dic5C2×D414yes—
168C2×C3×Dic5#4114yes—
169#1203C42116yescomplemented
170#1200—216no—
171D3×Dic5—216no—
172C22×D12—51no—
173C22×C4×D3—52no—
174C22×C4×D3—51no—
175C22×C4×D3—52no—
176C22×C4×D3C2×D511yescharacteristic
177C2×C3×C42—52no—
178C2×C3×C42—51no—
179C2×C3×C42—51no—
180C2×C3×C42—52no—
181C2×C3×C42C2×D511yescharacteristic
182C2×(C2×D3)⋊C4—51no—
183C2×(C2×D3)⋊C4—52no—
184C2×(C2×D3)⋊C4—51no—
185C2×(C2×D3)⋊C4C2×D512yes—
186C2×C4⋊Dic3—52no—
187C2×C4⋊Dic3—51no—
188C2×C4×Dic3—51no—
189C2×C4×Dic3—52no—
190C2×C4×Dic3—52no—
191C2×C4×Dic3C2×D511yescharacteristic
192C4×D12—58no—
193C4×D12—516no—
194C42×D3—104no—
195C42×D3—104no—
196C3⋊#95—52no—
197C3⋊#95—52no—
198C3⋊#95C2×D512yes—
199C24×C5—31no—
200C23×D5—31no—
201C22×C4×C5—32no—
202C22×C4×C5—31no—
203C22×C4×C5—34no—
204C22×C4×C5—62no—
205C22×C4×C5—62no—
206C22×C4×C5C22×D312yes—
207C22×C4×C5C22×D311yescharacteristic
208C2×C22⋊D5—38no—
209C2×C22⋊D5—34no—
210C22×Dic5—31no—
211C22×Dic5—32no—
212C22×Dic5—38no—
213C22×Dic5—64no—
214C22×Dic5—64no—
215C22×Dic5C22×D311yescharacteristic
216C22×Dic5C22×D311yescharacteristic
217C22×Dic5C22×D312yes—
218C2×C4×D5—34no—
219C2×C4×D5—38no—
220C2×C4×D5—62no—
221C2×C4×D5—62no—
222C2×C4×D5—64no—
223C2×C4×D5—64no—
224C5×C22⋊C4—38no—
225C42×C5—22no—
226C42×C5—62no—
227C22⋊Dic5—34no—
228#685—38no—
229#685—34no—
230#683—38no—
231#683—34no—
232C4×Dic5—24no—
233C4×Dic5—62no—
234C4×Dic5—64no—
235C4×Dic5—64no—
236C4×Dic5C4×D318yescomplemented
237C4×Dic5C4×D314yescomplemented
238C4×Dic5D1214yescomplemented
239C2×C4×D4—152no—
240C2×C4×D4—151no—
241C22×C42—151no—
242C22×C42—151no—
243C4×C4⋊C4—152no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—31no—
246C4×C22⋊C4—152no—
247C4×C22⋊C4—152no—
248C4×C22⋊C4—151no—
249C43—51no—
250C22×C3×C5C23×C411yescharacteristic
251C22×C3×C5C23×C412yes—
252C22×C3×C5C22×D411yescharacteristic
253C22×C3×C5C2×#4111yescharacteristic
254C22×C3×C5C2×#4112yes—
255C2×D15—24no—
256C2×D15—22no—
257C2×D15—22no—
258C2×D15—24no—
259C2×D15C2×C4214yescomplemented
260C2×C5×D3—24no—
261C2×C5×D3—22no—
262C2×C5×D3—22no—
263C2×C5×D3—24no—
264C2×C5×D3C2×C4214yescomplemented
265C3×C4×C5—24no—
266C3×C4×C5C4×D414yescomplemented
267Dic15—24no—
268Dic15—22no—
269C3×Dic5—22no—
270C3×Dic5C2×C4214yescomplemented
271C3×Dic5C4×D418yescomplemented
272C5×Dic3—24no—
273C5×Dic3—22no—
274C23×D3—51no—
275C23×D3C22×D511yescharacteristic
276C22×C3×C4—52no—
277C22×C3×C4—51no—
278C22×C3×C4—51no—
279C22×C3×C4C22×D512yes—
280C22×C3×C4C22×D511yescharacteristic
281C22×Dic3—51no—
282C22×Dic3—52no—
283C22×Dic3C22×D512yes—
284C22×Dic3C22×D511yescharacteristic
285C2×D12—54no—
286C2×D12—58no—
287C2×C4×D3—22no—
288C2×C4×D3—22no—
289C2×C4×D3—58no—
290C2×C4×D3—54no—
291C2×C4×D3—58no—
292C2×C4×D3—104no—
293C2×C4×D3—104no—
294C2×C4×D3—104no—
295C2×C4×D3—104no—
296C2×C4×D3—102no—
297C2×C4×D3—102no—
298C2×C4×D3C4×D514yescomplemented
299C3×C42—22no—
300C3×C42—58no—
301C3×C42—54no—
302C3×C42—54no—
303C3×C42—104no—
304(C2×D3)⋊C4—54no—
305(C2×D3)⋊C4—58no—
306(C2×D3)⋊C4—54no—
307(C2×D3)⋊C4C4×D518yescomplemented
308C4⋊Dic3—54no—
309C4⋊Dic3—58no—
310C4×Dic3—22no—
311C4×Dic3—104no—
312C4×Dic3—104no—
313C4×Dic3—102no—
314C23×C5—32no—
315C23×C5—34no—
316C23×C5—61no—
317C23×C5—62no—
318C23×C5—61no—
319C23×C5C23×D311yescharacteristic
320C22×D5—34no—
321C22×D5—32no—
322C22×D5—61no—
323C22×D5—62no—
324C22×D5—61no—
325C2×C4×C5—22no—
326C2×C4×C5—22no—
327C2×C4×C5—32no—
328C2×C4×C5—34no—
329C2×C4×C5—61no—
330C2×C4×C5—62no—
331C2×C4×C5—62no—
332C2×C4×C5—61no—
333C2×C4×C5—68no—
334C2×C4×C5C2×C4×D314yes—
335C2×C4×C5C2×C4×D312yes—
336C2×C4×C5C2×D1212yes—
337C2×C4×C5#23512yes—
338C22⋊D5—316no—
339C2×Dic5—22no—
340C2×Dic5—34no—
341C2×Dic5—32no—
342C2×Dic5—61no—
343C2×Dic5—62no—
344C2×Dic5—61no—
345C2×Dic5—62no—
346C2×Dic5—616no—
347C2×Dic5C2×C4×D312yes—
348C2×Dic5C2×C4×D314yes—
349C2×Dic5C2×C4×D312yes—
350C2×Dic5C2×C4×D314yes—
351C2×Dic5C2×D1214yes—
352C2×Dic5#23514yes—
353C4×D5—68no—
354C4×D5—616no—
355C22×D4—151no—
356C23×C4—31no—
357C23×C4—152no—
358C23×C4—152no—
359C23×C4—151no—
360C4×D4—1516no—
361C4×D4—158no—
362C2×C4⋊C4—151no—
363C2×C4⋊C4—152no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—151no—
366C2×C22⋊C4—151no—
367C2×C22⋊C4—152no—
368C2×C42—31no—
369C2×C42—52no—
370C2×C42—51no—
371C2×C42—51no—
372C2×C42—52no—
373C2×C42—152no—
374C2×C42—152no—
375C2×C42—151no—
376C2×C42—304no—
377C2×C42—304no—
378C2×C42D3×D511yescharacteristic
379#95—32no—
380#95—152no—
381#95—152no—
382C2×C3×C5C22×C4211yescharacteristic
383C2×C3×C5C2×C4×D411yescharacteristic
384C2×C3×C5C2×C4×D412yes—
385C2×C3×C5C4×#4111yescharacteristic
386C2×C3×C5C4×#4112yes—
387D15—24no—
388C5×D3—24no—
389C23×C3C23×D511yescharacteristic
390C22×D3—21no—
391C22×D3—21no—
392C22×D3—22no—
393C22×D3—52no—
394C22×D3—54no—
395C22×D3—101no—
396C22×D3—101no—
397C22×D3—102no—
398C22×D3C2×C4×D512yes—
399C22×D3C2×C4×D514yes—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—52no—
403C2×C3×C4—54no—
404C2×C3×C4—54no—
405C2×C3×C4—54no—
406C2×C3×C4—54no—
407C2×C3×C4—52no—
408C2×C3×C4—102no—
409C2×C3×C4C2×C4×D514yes—
410C2×C3×C4C2×C4×D512yes—
411C2×C3×C4D4×D512yes—
412C2×C3×C4#71112yes—
413C2×Dic3—22no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—22no—
417C2×Dic3—52no—
418C2×Dic3—54no—
419C2×Dic3—101no—
420C2×Dic3—102no—
421C2×Dic3—101no—
422C2×Dic3—102no—
423C2×Dic3C2×C4×D512yes—
424C2×Dic3C2×C4×D514yes—
425D12—516no—
426C4×D3—28no—
427C4×D3—1016no—
428C4×D3—1016no—
429C4×D3—108no—
430C22×C5—34no—
431C22×C5—64no—
432C22×C5—62no—
433C22×C5—64no—
434C22×C5—62no—
435C22×C5C22×C4×D312yes—
436C22×C5C22×C4×D311yescharacteristic
437C22×C5C22×D1211yescharacteristic
438C22×C5C2×#23512yes—
439C22×C5C2×#23511yescharacteristic
440C2×D5—34no—
441C2×D5—64no—
442C2×D5—62no—
443C2×D5—64no—
444C2×D5—62no—
445C4×C5—24no—
446C4×C5—64no—
447C4×C5—62no—
448C4×C5C4×D1214yescomplemented
449Dic5—22no—
450Dic5—62no—
451Dic5—64no—
452Dic5C42×D314yescomplemented
453Dic5C4×D1218yescomplemented
454C24—31no—
455C24—151no—
456C2×D4—158no—
457C2×D4—154no—
458C22×C4—31no—
459C22×C4—32no—
460C22×C4—34no—
461C22×C4—52no—
462C22×C4—51no—
463C22×C4—51no—
464C22×C4—62no—
465C22×C4—62no—
466C22×C4—158no—
467C22×C4—158no—
468C22×C4—152no—
469C22×C4—151no—
470C22×C4—154no—
471C22×C4—304no—
472C22×C4—304no—
473C22×C4—304no—
474C22×C4—304no—
475C22×C4—302no—
476C22×C4—302no—
477C22×C4C2×D3×D512yes—
478C22×C4C2×D3×D511yescharacteristic
479C4⋊C4—158no—
480C4⋊C4—154no—
481C22⋊C4—38no—
482C22⋊C4—154no—
483C22⋊C4—154no—
484C22⋊C4—158no—
485C42—22no—
486C42—58no—
487C42—54no—
488C42—54no—
489C42—62no—
490C42—104no—
491C42—304no—
492C42—304no—
493C42—302no—
494C3×C5C42×D411yescharacteristic, complemented, Hall
495C22×C3C22×C4×D511yescharacteristic
496C22×C3C22×C4×D512yes—
497C22×C3C2×D4×D511yescharacteristic
498C22×C3C2×#71111yescharacteristic
499C22×C3D5×#4112yes—
500C2×D3—22no—
501C2×D3—22no—
502C2×D3—24no—
503C2×D3—24no—
504C2×D3—54no—
505C2×D3—102no—
506C2×D3—102no—
507C2×D3—104no—
508C2×D3—104no—
509C2×D3C42×D514yescomplemented
510C3×C4—24no—
511C3×C4—54no—
512C3×C4—58no—
513C3×C4—102no—
514C3×C4#402714yescomplemented
515Dic3—22no—
516Dic3—24no—
517Dic3—102no—
518Dic3—104no—
519C2×C5—64no—
520C2×C5C2×C42×D311yescharacteristic
521C2×C5C2×C4×D1212yes—
522C2×C5C2×C4×D1211yescharacteristic
523C2×C5C4×#23512yes—
524C2×C5C4×#23511yescharacteristic
525D5—64no—
526C23—34no—
527C23—32no—
528C23—61no—
529C23—62no—
530C23—61no—
531C23—154no—
532C23—152no—
533C23—301no—
534C23—302no—
535C23—301no—
536C23C22×D3×D511yescharacteristic
537D4—1516no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—34no—
541C2×C4—32no—
542C2×C4—54no—
543C2×C4—52no—
544C2×C4—54no—
545C2×C4—54no—
546C2×C4—54no—
547C2×C4—52no—
548C2×C4—62no—
549C2×C4—61no—
550C2×C4—62no—
551C2×C4—61no—
552C2×C4—68no—
553C2×C4—102no—
554C2×C4—154no—
555C2×C4—152no—
556C2×C4—3016no—
557C2×C4—3016no—
558C2×C4—302no—
559C2×C4—301no—
560C2×C4—302no—
561C2×C4—301no—
562C2×C4—308no—
563C2×C4C4×D3×D514yes—
564C2×C4C4×D3×D512yes—
565C2×C4D5×D1212yes—
566C2×C4#678212yes—
567C2×C3C2×C42×D511yescharacteristic
568C2×C3C2×#402711yescharacteristic
569C2×C3#6585611yescharacteristic
570C2×C3C4×#71112yes—
571C2×C3C4×D4×D512yes—
572D3—24no—
573D3—104no—
574C5C42×D1211yescharacteristic, complemented, Sylow
575C22—34no—
576C22—64no—
577C22—64no—
578C22—62no—
579C22—62no—
580C22—154no—
581C22—304no—
582C22—304no—
583C22—302no—
584C22—302no—
585C22C2×C4×D3×D512yes—
586C22C2×C4×D3×D511yescharacteristic
587C22C2×D5×D1211yescharacteristic
588C22D5×#23512yes—
589C22C2×#678211yescharacteristic
590C4—24no—
591C4—54no—
592C4—58no—
593C4—64no—
594C4—62no—
595C4—102no—
596C4—304no—
597C4—302no—
598C4#9140514yesdirect product factor
599C3C4×#402711yescharacteristic, complemented, Sylow
600C2—64no—
601C2—304no—
602C2#1175266511yescharacteristic
603C2C42×D3×D511yescharacteristic
604C2C4×D5×D1212yes—
605C2C4×#678212yes—
606C2C2×#9140511yescharacteristic
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC2×C3×C5C22×C42
FrattiniC23C22×D3×D5
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#1203C22
hypercenterC2×C42D3×D5
hypocenterC3×C5C42×D4
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
3. C2×C4×#1200C2semidirect
4. C2×C4×D3×Dic5C2semidirect
5. C4×#6714C2semidirect
6. C4×C5×(C2×D3)⋊C4C2semidirect
7. C3×C42×Dic5C2semidirect
8. #11748875C2semidirect
9. Dic5×(C2×D3)⋊C4C2semidirect
10. C4×#6668C2semidirect
11. #11748638C2semidirect
33. C4×#1203C4semidirect
34. #91405C4direct (N × H)
49. C42×Dic5D3semidirect
60. C2×C4×D15C2×C4semidirect
65. C2×C4×C5×D3C2×C4semidirect
73. C2×#1200C2×C4semidirect
76. C2×D3×Dic5C2×C4semidirect
78. #6714C2×C4semidirect
80. C5×(C2×D3)⋊C4C2×C4semidirect
83. C3×C4×Dic5C2×C4semidirect
84. C3×C4×Dic5C2×C4semidirect
85. C3×C4×Dic5D4semidirect
86. #6668C2×C4semidirect
87. #6668C2×C4semidirect
88. #6667C2×C4semidirect
89. (C2×D3)⋊Dic5C2×C4semidirect
100. C4×(C2×D3)⋊C4D5semidirect
169. #1203C42semidirect
236. C4×Dic5C4×D3semidirect
237. C4×Dic5C4×D3semidirect
238. C4×Dic5D12semidirect
259. C2×D15C2×C42semidirect
264. C2×C5×D3C2×C42semidirect
266. C3×C4×C5C4×D4semidirect
270. C3×Dic5C2×C42semidirect
271. C3×Dic5C4×D4semidirect
298. C2×C4×D3C4×D5semidirect
307. (C2×D3)⋊C4C4×D5semidirect
448. C4×C5C4×D12semidirect
452. Dic5C42×D3semidirect
453. Dic5C4×D12semidirect
494. C3×C5C42×D4semidirect
509. C2×D3C42×D5semidirect
514. C3×C4#4027semidirect
574. C5C42×D12semidirect
598. C4#91405direct (N × H)
599. C3C4×#4027semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#12032
C2×#914052
C2×C4×#12002
C2×C4×D3×Dic52
C4×#67142
C4×C5×(C2×D3)⋊C42
C3×C42×Dic52
#117488752
Dic5×(C2×D3)⋊C42
C4×#66682
#117486382
C4×#40273
C42×D125