Finite Group Databasebeta

← C5×#14265 #11936985

Subgroups — C5×#14265 #11936985

Order 1280.

1782 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#385C211yesmaximal, characteristic
2C2×C5×#385C211yesmaximal, characteristic
3C22×C5×#95C211yesmaximal, characteristic
4C5×#1445C212yesmaximal, complemented
5C5×#1443C212yesmaximal, complemented
6C5×#1442C212yesmaximal, complemented
7C5×#1441C212yesmaximal, complemented
8C5×C22⋊#95C211yesmaximal, characteristic
9C5×C22⋊#95C211yesmaximal, characteristic
10C5×C22⋊#95C211yesmaximal, characteristic
11C5×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C5C2211yescharacteristic
13C24×C4×C5C2211yescharacteristic
14C24×C4×C5C2211yescharacteristic
15C22×C5×C4⋊C4C2211yescharacteristic
16C22×C5×C4⋊C4C2211yescharacteristic
17C22×C5×C4⋊C4C2212yes—
18C22×C5×C22⋊C4C2211yescharacteristic
19C22×C5×C22⋊C4C2211yescharacteristic
20C22×C5×C22⋊C4C2211yescharacteristic
21C22×C5×C22⋊C4C2211yescharacteristic
22C5×#385—24no—
23C5×#385C418yescomplemented
24C2×C5×#95—24no—
25C2×C5×#95C2212yes—
26C2×C5×#95C2212yes—
27C2×C5×#95C2211yescharacteristic
28C2×C5×#95C2211yescharacteristic
29C2×C5×#95C2212yes—
30C2×C5×#95C2212yes—
31C2×C5×#95C2212yes—
32C2×C5×#95C2212yes—
33C2×C5×#95C2212yes—
34C2×C5×#95C2212yes—
35C2×C5×#95C2212yes—
36C2×C5×#95C2212yes—
37C2×C5×#95C2212yes—
38#14265C511yesmaximal, characteristic, direct product factor, Sylow
39C25×C5C2311yescharacteristic
40C23×C4×C5—22no—
41C23×C4×C5—22no—
42C23×C4×C5—22no—
43C23×C4×C5—22no—
44C23×C4×C5—22no—
45C23×C4×C5—22no—
46C23×C4×C5—42no—
47C23×C4×C5—42no—
48C23×C4×C5—42no—
49C23×C4×C5—42no—
50C23×C4×C5—42no—
51C23×C4×C5—42no—
52C23×C4×C5C2×C414yes—
53C23×C4×C5D414yes—
54C23×C4×C5Q814yes—
55C23×C4×C5C2311yescharacteristic
56C23×C4×C5C2312yes—
57C23×C4×C5C2311yescharacteristic
58C23×C4×C5C2311yescharacteristic
59C23×C4×C5C2312yes—
60C23×C4×C5C2312yes—
61C23×C4×C5C2311yescharacteristic
62C23×C4×C5C2311yescharacteristic
63C23×C4×C5C2311yescharacteristic
64C23×C4×C5C2312yes—
65C2×C5×C4⋊C4—22no—
66C2×C5×C4⋊C4—22no—
67C2×C5×C4⋊C4—42no—
68C2×C5×C4⋊C4—42no—
69C2×C5×C4⋊C4—42no—
70C2×C5×C4⋊C4—42no—
71C2×C5×C4⋊C4C2×C418yescomplemented
72C2×C5×C22⋊C4—22no—
73C2×C5×C22⋊C4—22no—
74C2×C5×C22⋊C4—22no—
75C2×C5×C22⋊C4—22no—
76C2×C5×C22⋊C4—22no—
77C2×C5×C22⋊C4—22no—
78C2×C5×C22⋊C4—22no—
79C2×C5×C22⋊C4—22no—
80C2×C5×C22⋊C4—22no—
81C2×C5×C22⋊C4—22no—
82C2×C5×C22⋊C4C2×C414yes—
83C2×C5×C22⋊C4C2×C414yes—
84C5×#95—24no—
85C5×#95—24no—
86C5×#95—22no—
87C5×#95—22no—
88C5×#95—42no—
89C5×#95—42no—
90C5×#95—42no—
91C5×#95—42no—
92C5×#95—42no—
93C5×#95—42no—
94C5×#95—42no—
95C5×#95—42no—
96C5×#95C2×C418yescomplemented
97C2×#385C2×C511yescharacteristic
98C2×#385C2×C511yescharacteristic
99C22×#95C2×C511yescharacteristic
100#1445C2×C512yescomplemented
101#1443C2×C512yescomplemented
102#1442C2×C512yescomplemented
103#1441C2×C512yescomplemented
104C22⋊#95C2×C511yescharacteristic
105C22⋊#95C2×C511yescharacteristic
106C22⋊#95C2×C511yescharacteristic
107C22⋊#95C2×C511yescharacteristic
108C24×C5—22no—
109C24×C5—22no—
110C24×C5—22no—
111C24×C5—22no—
112C24×C5C22×C412yes—
113C24×C5C2×D412yes—
114C24×C5C2×Q812yes—
115C24×C5#4112yes—
116C24×C5#4112yes—
117C24×C5#4112yes—
118C24×C5#4112yes—
119C24×C5C2411yescharacteristic
120C22×C4×C5—28no—
121C22×C4×C5—28no—
122C22×C4×C5—28no—
123C22×C4×C5—21no—
124C22×C4×C5—21no—
125C22×C4×C5—22no—
126C22×C4×C5—22no—
127C22×C4×C5—22no—
128C22×C4×C5—22no—
129C22×C4×C5—21no—
130C22×C4×C5—21no—
131C22×C4×C5—22no—
132C22×C4×C5—22no—
133C22×C4×C5—21no—
134C22×C4×C5—21no—
135C22×C4×C5—21no—
136C22×C4×C5—21no—
137C22×C4×C5—22no—
138C22×C4×C5—22no—
139C22×C4×C5—22no—
140C22×C4×C5—22no—
141C22×C4×C5—22no—
142C22×C4×C5—22no—
143C22×C4×C5—22no—
144C22×C4×C5—22no—
145C22×C4×C5—22no—
146C22×C4×C5—22no—
147C22×C4×C5—22no—
148C22×C4×C5—22no—
149C22×C4×C5—22no—
150C22×C4×C5—22no—
151C22×C4×C5—22no—
152C22×C4×C5—22no—
153C22×C4×C5—22no—
154C22×C4×C5—22no—
155C22×C4×C5—22no—
156C22×C4×C5—22no—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—21no—
160C22×C4×C5—21no—
161C22×C4×C5—21no—
162C22×C4×C5—21no—
163C22×C4×C5—22no—
164C22×C4×C5—22no—
165C22×C4×C5—22no—
166C22×C4×C5—22no—
167C22×C4×C5—22no—
168C22×C4×C5—22no—
169C22×C4×C5—22no—
170C22×C4×C5—22no—
171C22×C4×C5—22no—
172C22×C4×C5—22no—
173C22×C4×C5—22no—
174C22×C4×C5—48no—
175C22×C4×C5—44no—
176C22×C4×C5—44no—
177C22×C4×C5—48no—
178C22×C4×C5—44no—
179C22×C4×C5—44no—
180C22×C4×C5—44no—
181C22×C4×C5—44no—
182C22×C4×C5—48no—
183C22×C4×C5—48no—
184C22×C4×C5—48no—
185C22×C4×C5—48no—
186C22×C4×C5C22×C412yes—
187C22×C4×C5C22×C414yes—
188C22×C4×C5C22×C412yes—
189C22×C4×C5C22×C414yes—
190C22×C4×C5C2×D412yes—
191C22×C4×C5C2×D412yes—
192C22×C4×C5C2×Q814yes—
193C5×C4⋊C4—48no—
194C5×C4⋊C4—44no—
195C5×C4⋊C4—44no—
196C5×C22⋊C4—28no—
197C5×C22⋊C4—28no—
198C5×C22⋊C4—44no—
199C5×C22⋊C4—44no—
200C24×C4C22×C511yescharacteristic
201C24×C4C22×C511yescharacteristic
202C24×C4C22×C511yescharacteristic
203C22×C4⋊C4C22×C511yescharacteristic
204C22×C4⋊C4C22×C511yescharacteristic
205C22×C4⋊C4C22×C512yes—
206C22×C22⋊C4C22×C511yescharacteristic
207C22×C22⋊C4C22×C511yescharacteristic
208C22×C22⋊C4C22×C511yescharacteristic
209C22×C22⋊C4C22×C511yescharacteristic
210#385—24no—
211#385C4×C518yescomplemented
212C2×#95—24no—
213C2×#95C22×C512yes—
214C2×#95C22×C512yes—
215C2×#95C22×C511yescharacteristic
216C2×#95C22×C511yescharacteristic
217C2×#95C22×C512yes—
218C2×#95C22×C512yes—
219C2×#95C22×C512yes—
220C2×#95C22×C512yes—
221C2×#95C22×C512yes—
222C2×#95C22×C512yes—
223C2×#95C22×C512yes—
224C2×#95C22×C512yes—
225C2×#95C22×C512yes—
226C23×C5—24no—
227C23×C5—24no—
228C23×C5—22no—
229C23×C5—22no—
230C23×C5—22no—
231C23×C5—22no—
232C23×C5—24no—
233C23×C5—24no—
234C23×C5—24no—
235C23×C5—24no—
236C23×C5—24no—
237C23×C5—24no—
238C23×C5—24no—
239C23×C5—24no—
240C23×C5—24no—
241C23×C5—24no—
242C23×C5#11714yes—
243C23×C5C4×D414yes—
244C23×C5C4×Q814yes—
245C23×C5C22⋊Q814yes—
246C23×C5#12314yes—
247C23×C5#12514yes—
248C23×C5#12614yes—
249C23×C5C23×C411yescharacteristic
250C23×C5C22×D411yescharacteristic
251C23×C5C22×Q811yescharacteristic
252C23×C5C2×#4111yescharacteristic
253C23×C5C2×#4111yescharacteristic
254C23×C5C2×#4111yescharacteristic
255C23×C5C2×#4111yescharacteristic
256C23×C5H(5,𝔽2)12yes—
257C23×C5H(5,𝔽2)12yes—
258C23×C5H(5,𝔽2)12yes—
259C23×C52−1+412yes—
260C2×C4×C5—24no—
261C2×C4×C5—22no—
262C2×C4×C5—22no—
263C2×C4×C5—24no—
264C2×C4×C5—24no—
265C2×C4×C5—24no—
266C2×C4×C5—24no—
267C2×C4×C5—24no—
268C2×C4×C5—24no—
269C2×C4×C5—24no—
270C2×C4×C5—24no—
271C2×C4×C5—22no—
272C2×C4×C5—22no—
273C2×C4×C5—22no—
274C2×C4×C5—22no—
275C2×C4×C5—22no—
276C2×C4×C5—22no—
277C2×C4×C5—24no—
278C2×C4×C5—24no—
279C2×C4×C5—416no—
280C2×C4×C5—416no—
281C2×C4×C5—416no—
282C2×C4×C5—41no—
283C2×C4×C5—41no—
284C2×C4×C5—42no—
285C2×C4×C5—42no—
286C2×C4×C5—41no—
287C2×C4×C5—42no—
288C2×C4×C5—42no—
289C2×C4×C5—41no—
290C2×C4×C5—42no—
291C2×C4×C5—42no—
292C2×C4×C5—42no—
293C2×C4×C5—42no—
294C2×C4×C5—42no—
295C2×C4×C5—42no—
296C2×C4×C5—42no—
297C2×C4×C5—42no—
298C2×C4×C5—42no—
299C2×C4×C5—42no—
300C2×C4×C5—42no—
301C2×C4×C5—42no—
302C2×C4×C5—42no—
303C2×C4×C5—42no—
304C2×C4×C5—41no—
305C2×C4×C5—41no—
306C2×C4×C5—42no—
307C2×C4×C5—41no—
308C2×C4×C5—41no—
309C2×C4×C5—41no—
310C2×C4×C5—41no—
311C2×C4×C5—42no—
312C2×C4×C5—42no—
313C2×C4×C5—42no—
314C2×C4×C5—42no—
315C2×C4×C5—42no—
316C2×C4×C5—42no—
317C2×C4×C5—42no—
318C2×C4×C5—42no—
319C2×C4×C5—42no—
320C2×C4×C5—42no—
321C25C23×C511yescharacteristic
322C23×C4—22no—
323C23×C4—22no—
324C23×C4—22no—
325C23×C4—22no—
326C23×C4—22no—
327C23×C4—22no—
328C23×C4—42no—
329C23×C4—42no—
330C23×C4—42no—
331C23×C4—42no—
332C23×C4—42no—
333C23×C4—42no—
334C23×C4C2×C4×C514yes—
335C23×C4C5×D414yes—
336C23×C4C5×Q814yes—
337C23×C4C23×C511yescharacteristic
338C23×C4C23×C511yescharacteristic
339C23×C4C23×C512yes—
340C23×C4C23×C511yescharacteristic
341C23×C4C23×C511yescharacteristic
342C23×C4C23×C512yes—
343C23×C4C23×C512yes—
344C23×C4C23×C511yescharacteristic
345C23×C4C23×C511yescharacteristic
346C23×C4C23×C512yes—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4—42no—
351C2×C4⋊C4—42no—
352C2×C4⋊C4—42no—
353C2×C4⋊C4C2×C4×C518yescomplemented
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4C2×C4×C514yes—
365C2×C22⋊C4C2×C4×C514yes—
366#95—24no—
367#95—24no—
368#95—22no—
369#95—22no—
370#95—42no—
371#95—42no—
372#95—42no—
373#95—42no—
374#95—42no—
375#95—42no—
376#95—42no—
377#95—42no—
378#95C2×C4×C518yescomplemented
379C22×C5—28no—
380C22×C5—24no—
381C22×C5—24no—
382C22×C5—28no—
383C22×C5—24no—
384C22×C5—24no—
385C22×C5—24no—
386C22×C5—24no—
387C22×C5—28no—
388C22×C5—28no—
389C22×C5#38718yes—
390C22×C5C2×#11711yescharacteristic
391C22×C5C2×C4×D411yescharacteristic
392C22×C5C2×C4×Q811yescharacteristic
393C22×C5#51812yes—
394C22×C5#52012yes—
395C22×C5C2×C22⋊Q811yescharacteristic
396C22×C5C2×#12311yescharacteristic
397C22×C5C2×#12511yescharacteristic
398C22×C5C2×#12611yescharacteristic
399C22×C5#53411yescharacteristic
400C22×C5#53411yescharacteristic
401C22×C5#53511yescharacteristic
402C22×C5#53611yescharacteristic
403C22×C5#53812yes—
404C22×C5#53812yes—
405C22×C5#53812yes—
406C22×C5#53812yes—
407C22×C5#53912yes—
408C22×C5#53912yes—
409C22×C5#53912yes—
410C22×C5#53912yes—
411C22×C5#54312yes—
412C22×C5#54412yes—
413C4×C5—44no—
414C4×C5—42no—
415C4×C5—44no—
416C4×C5—42no—
417C4×C5—42no—
418C4×C5—42no—
419C4×C5—44no—
420C4×C5—81no—
421C4×C5—81no—
422C4×C5—82no—
423C24—22no—
424C24—22no—
425C24—22no—
426C24—22no—
427C24C22×C4×C512yes—
428C24C2×C5×D412yes—
429C24C2×C5×Q812yes—
430C24C5×#4112yes—
431C24C5×#4112yes—
432C24C5×#4112yes—
433C24C5×#4112yes—
434C24C24×C511yescharacteristic
435C22×C4—28no—
436C22×C4—28no—
437C22×C4—28no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—48no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—48no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4C22×C4×C512yes—
502C22×C4C22×C4×C514yes—
503C22×C4C22×C4×C514yes—
504C22×C4C22×C4×C512yes—
505C22×C4C2×C5×D412yes—
506C22×C4C2×C5×D412yes—
507C22×C4C2×C5×Q814yes—
508C4⋊C4—48no—
509C4⋊C4—44no—
510C4⋊C4—44no—
511C22⋊C4—28no—
512C22⋊C4—28no—
513C22⋊C4—44no—
514C22⋊C4—44no—
515C2×C5—28no—
516C2×C5C2×#38711yescharacteristic
517C2×C5#231812yes—
518C2×C5#232111yescharacteristic
519C2×C5#232211yescharacteristic
520C2×C5#232912yes—
521C2×C5#262211yescharacteristic
522C2×C5#262311yescharacteristic
523C2×C5#262611yescharacteristic
524C2×C5#262711yescharacteristic
525C2×C5#264312yes—
526C2×C5#264612yes—
527C23—24no—
528C23—24no—
529C23—22no—
530C23—22no—
531C23—22no—
532C23—22no—
533C23—24no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23C5×#11714yes—
544C23C4×C5×D414yes—
545C23C4×C5×Q814yes—
546C23C5×C22⋊Q814yes—
547C23C5×#12314yes—
548C23C5×#12514yes—
549C23C5×#12614yes—
550C23C23×C4×C511yescharacteristic
551C23C22×C5×D411yescharacteristic
552C23C22×C5×Q811yescharacteristic
553C23C2×C5×#4111yescharacteristic
554C23C2×C5×#4111yescharacteristic
555C23C2×C5×#4111yescharacteristic
556C23C2×C5×#4111yescharacteristic
557C23C5×H(5,𝔽2)12yes—
558C23C5×H(5,𝔽2)12yes—
559C23C5×H(5,𝔽2)12yes—
560C23C5×2−1+412yes—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—416no—
581C2×C4—416no—
582C2×C4—416no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C5#1426511yescharacteristic, direct product factor, Sylow
623C22—28no—
624C22—24no—
625C22—24no—
626C22—28no—
627C22—24no—
628C22—24no—
629C22—24no—
630C22—24no—
631C22—28no—
632C22—28no—
633C22C5×#38718yes—
634C22C2×C5×#11711yescharacteristic
635C22C2×C4×C5×D411yescharacteristic
636C22C2×C4×C5×Q811yescharacteristic
637C22C5×#51812yes—
638C22C5×#52012yes—
639C22C2×C5×C22⋊Q811yescharacteristic
640C22C2×C5×#12311yescharacteristic
641C22C2×C5×#12511yescharacteristic
642C22C2×C5×#12611yescharacteristic
643C22C5×#53411yescharacteristic
644C22C5×#53411yescharacteristic
645C22C5×#53511yescharacteristic
646C22C5×#53611yescharacteristic
647C22C5×#53812yes—
648C22C5×#53812yes—
649C22C5×#53812yes—
650C22C5×#53812yes—
651C22C5×#53912yes—
652C22C5×#53912yes—
653C22C5×#53912yes—
654C22C5×#53912yes—
655C22C5×#54312yes—
656C22C5×#54412yes—
657C4—44no—
658C4—44no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—42no—
663C4—44no—
664C4—81no—
665C4—81no—
666C4—82no—
667C2—28no—
668C2C2×C5×#38711yescharacteristic
669C2C5×#231812yes—
670C2C5×#232111yescharacteristic
671C2C5×#232211yescharacteristic
672C2C5×#232912yes—
673C2C5×#262211yescharacteristic
674C2C5×#262311yescharacteristic
675C2C5×#262611yescharacteristic
676C2C5×#262711yescharacteristic
677C2C5×#264312yes—
678C2C5×#264612yes—
subgroupG/H
center, socleC24×C5C24
commutatorC23C23×C4×C5
Frattini, cosocleC24C24×C5
prime radicalC25×C5C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C5 ◁ G

Complements

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

NH ≅ G/Ntype
4. C5×#1445C2semidirect
5. C5×#1443C2semidirect
6. C5×#1442C2semidirect
7. C5×#1441C2semidirect
23. C5×#385C4semidirect
38. #14265C5direct (N × H)
71. C2×C5×C4⋊C4C2×C4semidirect
96. C5×#95C2×C4semidirect
100. #1445C2×C5semidirect
101. #1443C2×C5semidirect
102. #1442C2×C5semidirect
103. #1441C2×C5semidirect
211. #385C4×C5semidirect
353. C2×C4⋊C4C2×C4×C5semidirect
378. #95C2×C4×C5semidirect
622. C5#14265direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#3852
C22×C5×#952
C5×#14452
C5×#14432
C5×#14422
C5×#14412
C5×C22⋊#952
#142655