Finite Group Databasebeta

← C5×#22974 #11945694

Subgroups — C5×#22974 #11945694

Order 1280.

870 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#478C211yesmaximal, characteristic
2C5×#2370C211yesmaximal, characteristic, complemented
3C5×D4×C4⋊C4C211yesmaximal, characteristic
4C5×#1992C211yesmaximal, characteristic, complemented
5C5×#1947C211yesmaximal, characteristic, complemented
6C5×#1944C211yesmaximal, characteristic, complemented
7C5×#1942C211yesmaximal, characteristic, complemented
8C5×#1921C211yesmaximal, characteristic, complemented
9C5×#1919C211yesmaximal, characteristic, complemented
10C5×#1862C211yesmaximal, characteristic
11C5×#1862C211yesmaximal, characteristic
12C5×#1771C211yesmaximal, characteristic, complemented
13C5×#1762C211yesmaximal, characteristic
14C5×#1762C211yesmaximal, characteristic
15C4×C5×#102C211yesmaximal, characteristic
16C2×C5×#125C2211yescharacteristic
17C2×C4×C5×D4C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C22×C5×C4⋊C4—21no—
21C5×#478C418yescomplemented
22C2×C5×#107C2211yescharacteristic
23C2×C5×#107C2211yescharacteristic
24C2×C5×#107C2211yescharacteristic
25C2×C5×#106C2211yescharacteristic
26C2×C5×C4⋊C8C2211yescharacteristic
27C2×C5×#102C2211yescharacteristic
28C2×C5×#102C2211yescharacteristic
29C2×C5×#102C2211yescharacteristic
30C2×C5×#102C2211yescharacteristic
31C2×C5×#97C2211yescharacteristic
32C2×C5×#97C2211yescharacteristic
33C2×C4×C5×C8C2211yescharacteristic
34C5×#389—21no—
35C5×#389C2211yescharacteristic
36C5×#389C2211yescharacteristic
37C5×#389C2211yescharacteristic
38C5×#389C2211yescharacteristic
39C5×#387—21no—
40C5×#387—21no—
41C5×#385—21no—
42C5×#385—21no—
43C5×#384C2211yescharacteristic
44C5×#380—21no—
45C4×C5×C4⋊C4—21no—
46C4×C5×C4⋊C4C2211yescharacteristic
47C4×C5×C4⋊C4C2211yescharacteristic
48C4×C5×C4⋊C4C2211yescharacteristic
49C4×C5×C4⋊C4C2211yescharacteristic
50C5×#340C2211yescharacteristic
51C5×#340C2211yescharacteristic
52C5×#340C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60#22974C511yesmaximal, characteristic, direct product factor, Sylow
61C22×C5×D4C2311yescharacteristic
62C23×C4×C5—21no—
63C23×C4×C5—21no—
64C23×C4×C5—21no—
65C22×C5×C8C2311yescharacteristic
66C22×C5×C8C2311yescharacteristic
67C22×C5×C8C2311yescharacteristic
68C22×C5×C8C2311yescharacteristic
69C5×#125—22no—
70C5×#125C2×C414yescomplemented
71C4×C5×D4—22no—
72C4×C5×D4—22no—
73C4×C5×D4—22no—
74C4×C5×D4—41no—
75C4×C5×D4—41no—
76C4×C5×D4C2×C414yes—
77C2×C5×C4⋊C4—21no—
78C2×C5×C4⋊C4—21no—
79C2×C5×C4⋊C4—21no—
80C2×C5×C4⋊C4—21no—
81C2×C5×C4⋊C4—21no—
82C2×C5×C4⋊C4—21no—
83C2×C5×C4⋊C4—21no—
84C2×C5×C4⋊C4—21no—
85C2×C5×C4⋊C4—44no—
86C2×C5×C4⋊C4D411yescharacteristic
87C2×C5×C4⋊C4D411yescharacteristic
88C2×C5×C4⋊C4C2311yescharacteristic
89C2×C5×C4⋊C4C2311yescharacteristic
90C2×C5×C4⋊C4C2311yescharacteristic
91C2×C5×C4⋊C4C2311yescharacteristic
92C2×C5×C4⋊C4C2311yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C22⋊C4—21no—
96C2×C5×C22⋊C4—21no—
97C2×C5×C22⋊C4—21no—
98C2×C42×C5—21no—
99C2×C42×C5—21no—
100C2×C42×C5—21no—
101C2×C42×C5C2311yescharacteristic
102C2×C42×C5C2311yescharacteristic
103C2×C42×C5C2311yescharacteristic
104C5×#107—41no—
105C5×#107—41no—
106C5×#107C2×C414yescomplemented
107C5×#106C2×C414yescomplemented
108C5×C4⋊C8C2×C414yescomplemented
109C5×#102—22no—
110C5×#102C2×C414yes—
111C5×#102C2×C414yes—
112C5×#102Q814yes—
113C5×#97—22no—
114C5×#97—41no—
115C4×C5×C8—41no—
116C5×#95—21no—
117C5×#95—21no—
118C5×#95—21no—
119C5×#95—21no—
120C5×#95—21no—
121C5×#95—21no—
122C5×#95—21no—
123C5×#95D411yescharacteristic
124C5×#95D411yescharacteristic
125C2×#478C2×C511yescharacteristic
126#2370C2×C511yescharacteristic, complemented
127D4×C4⋊C4C2×C511yescharacteristic
128#1992C2×C511yescharacteristic, complemented
129#1947C2×C511yescharacteristic, complemented
130#1944C2×C511yescharacteristic, complemented
131#1942C2×C511yescharacteristic, complemented
132#1921C2×C511yescharacteristic, complemented
133#1919C2×C511yescharacteristic, complemented
134#1862C2×C511yescharacteristic
135#1862C2×C511yescharacteristic
136#1771C2×C511yescharacteristic, complemented
137#1762C2×C511yescharacteristic
138#1762C2×C511yescharacteristic
139C4×#102C2×C511yescharacteristic
140C24×C5—21no—
141C2×C5×D4—21no—
142C2×C5×D4—21no—
143C2×C5×D4—21no—
144C2×C5×D4C22×C412yes—
145C2×C5×D4C2×Q812yes—
146C2×C5×D4#4112yes—
147C22×C4×C5—21no—
148C22×C4×C5—21no—
149C22×C4×C5—21no—
150C22×C4×C5—21no—
151C22×C4×C5—24no—
152C22×C4×C5—21no—
153C22×C4×C5—21no—
154C22×C4×C5—21no—
155C22×C4×C5—42no—
156C22×C4×C5—42no—
157C22×C4×C5—42no—
158C22×C4×C5—42no—
159C22×C4×C5—42no—
160C22×C4×C5—42no—
161C22×C4×C5—81no—
162C22×C4×C5—81no—
163C22×C4×C5C2×D411yescharacteristic
164C22×C4×C5C2×D411yescharacteristic
165C22×C4×C5C2×D411yescharacteristic
166C22×C4×C5C2×D411yescharacteristic
167C22×C4×C5C2×D411yescharacteristic
168C22×C4×C5C2×D411yescharacteristic
169C22×C4×C5C2411yescharacteristic
170C2×C5×C8—21no—
171C2×C5×C8—21no—
172C2×C5×C8—21no—
173C2×C5×C8—21no—
174C2×C5×C8—21no—
175C2×C5×C8—21no—
176C2×C5×C8—21no—
177C2×C5×C8—21no—
178C2×C5×C8—21no—
179C2×C5×C8C22×C412yes—
180C2×C5×C8C22×C412yes—
181C2×C5×C8C2×Q812yes—
182C5×C4⋊C4—24no—
183C5×C4⋊C4—24no—
184C5×C4⋊C4—22no—
185C5×C4⋊C4—21no—
186C5×C4⋊C4—21no—
187C5×C4⋊C4—21no—
188C5×C4⋊C4—21no—
189C5×C4⋊C4—21no—
190C5×C4⋊C4—21no—
191C5×C4⋊C4—21no—
192C5×C4⋊C4—21no—
193C5×C4⋊C4—21no—
194C5×C4⋊C4—21no—
195C5×C4⋊C4—41no—
196C5×C4⋊C4—42no—
197C5×C4⋊C4—42no—
198C5×C4⋊C4—42no—
199C5×C4⋊C4—42no—
200C5×C4⋊C4—81no—
201C5×C4⋊C4—81no—
202C5×C4⋊C4C22×C412yes—
203C5×C4⋊C4C22×C412yes—
204C5×C4⋊C4C22×C412yes—
205C5×C4⋊C4C2×Q812yes—
206C5×C22⋊C4—24no—
207C5×C22⋊C4—42no—
208C5×C22⋊C4—42no—
209C42×C5—21no—
210C42×C5—21no—
211C42×C5—21no—
212C42×C5—21no—
213C42×C5—42no—
214C42×C5—81no—
215C42×C5—81no—
216C42×C5C22×C412yes—
217C42×C5#4112yes—
218C2×#125C22×C511yescharacteristic
219C2×C4×D4C22×C511yescharacteristic
220C2×C4×D4C22×C511yescharacteristic
221C2×C4×D4C22×C511yescharacteristic
222C22×C4⋊C4—21no—
223#478C4×C518yescomplemented
224C2×#107C22×C511yescharacteristic
225C2×#107C22×C511yescharacteristic
226C2×#107C22×C511yescharacteristic
227C2×#106C22×C511yescharacteristic
228C2×C4⋊C8C22×C511yescharacteristic
229C2×#102C22×C511yescharacteristic
230C2×#102C22×C511yescharacteristic
231C2×#102C22×C511yescharacteristic
232C2×#102C22×C511yescharacteristic
233C2×#97C22×C511yescharacteristic
234C2×#97C22×C511yescharacteristic
235C2×C4×C8C22×C511yescharacteristic
236#389—21no—
237#389C22×C511yescharacteristic
238#389C22×C511yescharacteristic
239#389C22×C511yescharacteristic
240#389C22×C511yescharacteristic
241#387—21no—
242#387—21no—
243#385—21no—
244#385—21no—
245#384C22×C511yescharacteristic
246#380—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4C22×C511yescharacteristic
249C4×C4⋊C4C22×C511yescharacteristic
250C4×C4⋊C4C22×C511yescharacteristic
251C4×C4⋊C4C22×C511yescharacteristic
252#340C22×C511yescharacteristic
253#340C22×C511yescharacteristic
254#340C22×C511yescharacteristic
255#340C22×C511yescharacteristic
256#340C22×C511yescharacteristic
257#340C22×C511yescharacteristic
258#340C22×C511yescharacteristic
259#340C22×C511yescharacteristic
260#336C22×C511yescharacteristic
261#336C22×C511yescharacteristic
262C23×C5—22no—
263C23×C5—22no—
264C23×C5—22no—
265C23×C5—41no—
266C23×C5—41no—
267C23×C5—41no—
268C23×C5—41no—
269C23×C5C22×D411yescharacteristic
270C5×D4—22no—
271C5×D4—22no—
272C5×D4—22no—
273C5×D4C4×Q814yes—
274C2×C4×C5—21no—
275C2×C4×C5—21no—
276C2×C4×C5—21no—
277C2×C4×C5—21no—
278C2×C4×C5—21no—
279C2×C4×C5—21no—
280C2×C4×C5—22no—
281C2×C4×C5—22no—
282C2×C4×C5—22no—
283C2×C4×C5—21no—
284C2×C4×C5—21no—
285C2×C4×C5—21no—
286C2×C4×C5—22no—
287C2×C4×C5—21no—
288C2×C4×C5—21no—
289C2×C4×C5—21no—
290C2×C4×C5—21no—
291C2×C4×C5—21no—
292C2×C4×C5—21no—
293C2×C4×C5—48no—
294C2×C4×C5—41no—
295C2×C4×C5—41no—
296C2×C4×C5—41no—
297C2×C4×C5—41no—
298C2×C4×C5—41no—
299C2×C4×C5—41no—
300C2×C4×C5—41no—
301C2×C4×C5—41no—
302C2×C4×C5—41no—
303C2×C4×C5—41no—
304C2×C4×C5—41no—
305C2×C4×C5—41no—
306C2×C4×C5—41no—
307C2×C4×C5—41no—
308C2×C4×C5—41no—
309C2×C4×C5—41no—
310C2×C4×C5—41no—
311C2×C4×C5—84no—
312C2×C4×C5—84no—
313C2×C4×C5C4×D412yes—
314C2×C4×C5C4×D412yes—
315C2×C4×C5AGL(1,ℤ/8)12yes—
316C2×C4×C5C23×C411yescharacteristic
317C2×C4×C5C22×Q811yescharacteristic
318C2×C4×C5C2×#4111yescharacteristic
319C2×C4×C5C2×#4111yescharacteristic
320C2×C4×C5H(5,𝔽2)11yescharacteristic
321C2×C4×C52−1+411yescharacteristic
322C5×C8—22no—
323C5×C8—22no—
324C5×C8—22no—
325C5×C8—41no—
326C22×D4C23×C511yescharacteristic
327C23×C4—21no—
328C23×C4—21no—
329C23×C4—21no—
330C22×C8C23×C511yescharacteristic
331C22×C8C23×C511yescharacteristic
332C22×C8C23×C511yescharacteristic
333C22×C8C23×C511yescharacteristic
334#125—22no—
335#125C2×C4×C514yescomplemented
336C4×D4—22no—
337C4×D4—22no—
338C4×D4—22no—
339C4×D4—41no—
340C4×D4—41no—
341C4×D4C2×C4×C514yes—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4C5×D411yescharacteristic
352C2×C4⋊C4C5×D411yescharacteristic
353C2×C4⋊C4C23×C511yescharacteristic
354C2×C4⋊C4C23×C511yescharacteristic
355C2×C4⋊C4C23×C511yescharacteristic
356C2×C4⋊C4C23×C511yescharacteristic
357C2×C4⋊C4C23×C511yescharacteristic
358C2×C4⋊C4C23×C511yescharacteristic
359C2×C4⋊C4C23×C511yescharacteristic
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—21no—
363C2×C42—21no—
364C2×C42—21no—
365C2×C42—21no—
366C2×C42C23×C511yescharacteristic
367C2×C42C23×C511yescharacteristic
368C2×C42C23×C511yescharacteristic
369#107—41no—
370#107—41no—
371#107C2×C4×C514yescomplemented
372#106C2×C4×C514yescomplemented
373C4⋊C8C2×C4×C514yescomplemented
374#102—22no—
375#102C2×C4×C514yes—
376#102C2×C4×C514yes—
377#102C5×Q814yes—
378#97—22no—
379#97—41no—
380C4×C8—41no—
381#95—21no—
382#95—21no—
383#95—21no—
384#95—21no—
385#95—21no—
386#95—21no—
387#95—21no—
388#95C5×D411yescharacteristic
389#95C5×D411yescharacteristic
390C22×C5—24no—
391C22×C5—42no—
392C22×C5—42no—
393C22×C5—42no—
394C22×C5—42no—
395C22×C5—42no—
396C22×C5—42no—
397C22×C5C2×C4×D411yescharacteristic
398C22×C5#54611yescharacteristic
399C22×C5D4×Q811yescharacteristic
400C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
401C22×C5#57511yescharacteristic
402C22×C5#57611yescharacteristic
403C22×C5#57811yescharacteristic
404C4×C5—22no—
405C4×C5—22no—
406C4×C5—22no—
407C4×C5—42no—
408C4×C5—42no—
409C4×C5—42no—
410C4×C5—42no—
411C4×C5—41no—
412C4×C5—41no—
413C4×C5—41no—
414C4×C5—81no—
415C4×C5—81no—
416C4×C5—81no—
417C4×C5C2×C4×Q811yescharacteristic
418C4×C5#52011yescharacteristic
419C4×C5#55211yescharacteristic
420C4×C5#55411yescharacteristic
421C24—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4C22×C4×C512yes—
426C2×D4C2×C5×Q812yes—
427C2×D4C5×#4112yes—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—24no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—42no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—81no—
443C22×C4—81no—
444C22×C4C2×C5×D411yescharacteristic
445C22×C4C2×C5×D411yescharacteristic
446C22×C4C2×C5×D411yescharacteristic
447C22×C4C2×C5×D411yescharacteristic
448C22×C4C2×C5×D411yescharacteristic
449C22×C4C2×C5×D411yescharacteristic
450C22×C4C24×C511yescharacteristic
451C2×C8—21no—
452C2×C8—21no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8C22×C4×C512yes—
461C2×C8C22×C4×C512yes—
462C2×C8C2×C5×Q812yes—
463C4⋊C4—24no—
464C4⋊C4—24no—
465C4⋊C4—22no—
466C4⋊C4—21no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—21no—
470C4⋊C4—21no—
471C4⋊C4—21no—
472C4⋊C4—21no—
473C4⋊C4—21no—
474C4⋊C4—21no—
475C4⋊C4—21no—
476C4⋊C4—41no—
477C4⋊C4—42no—
478C4⋊C4—42no—
479C4⋊C4—42no—
480C4⋊C4—42no—
481C4⋊C4—81no—
482C4⋊C4—81no—
483C4⋊C4C22×C4×C512yes—
484C4⋊C4C22×C4×C512yes—
485C4⋊C4C22×C4×C512yes—
486C4⋊C4C2×C5×Q812yes—
487C22⋊C4—24no—
488C22⋊C4—42no—
489C22⋊C4—42no—
490C42—21no—
491C42—21no—
492C42—21no—
493C42—21no—
494C42—42no—
495C42—81no—
496C42—81no—
497C42C22×C4×C512yes—
498C42C5×#4112yes—
499C2×C5—44no—
500C2×C5#236011yescharacteristic
501C2×C5C4×AGL(1,ℤ/8)11yescharacteristic
502C2×C5#295111yescharacteristic
503C2×C5#331511yescharacteristic
504C2×C5#331811yescharacteristic
505C2×C5#338611yescharacteristic
506C2×C5#338911yescharacteristic
507C23—22no—
508C23—22no—
509C23—22no—
510C23—41no—
511C23—41no—
512C23—41no—
513C23—41no—
514C23C22×C5×D411yescharacteristic
515D4—22no—
516D4—22no—
517D4—22no—
518D4C4×C5×Q814yes—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—22no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—48no—
539C2×C4—41no—
540C2×C4—41no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—84no—
557C2×C4—84no—
558C2×C4C4×C5×D412yes—
559C2×C4C4×C5×D412yes—
560C2×C4C5×AGL(1,ℤ/8)12yes—
561C2×C4C23×C4×C511yescharacteristic
562C2×C4C22×C5×Q811yescharacteristic
563C2×C4C2×C5×#4111yescharacteristic
564C2×C4C2×C5×#4111yescharacteristic
565C2×C4C5×H(5,𝔽2)11yescharacteristic
566C2×C4C5×2−1+411yescharacteristic
567C8—22no—
568C8—22no—
569C8—22no—
570C8—41no—
571C5#2297411yescharacteristic, direct product factor, Sylow
572C22—24no—
573C22—42no—
574C22—42no—
575C22—42no—
576C22—42no—
577C22—42no—
578C22—42no—
579C22C2×C4×C5×D411yescharacteristic
580C22C5×#54611yescharacteristic
581C22C5×D4×Q811yescharacteristic
582C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
583C22C5×#57511yescharacteristic
584C22C5×#57611yescharacteristic
585C22C5×#57811yescharacteristic
586C4—22no—
587C4—22no—
588C4—22no—
589C4—41no—
590C4—41no—
591C4—41no—
592C4—42no—
593C4—42no—
594C4—42no—
595C4—42no—
596C4—81no—
597C4—81no—
598C4—81no—
599C4C2×C4×C5×Q811yescharacteristic
600C4C5×#52011yescharacteristic
601C4C5×#55211yescharacteristic
602C4C5×#55411yescharacteristic
603C2—44no—
604C2C5×#236011yescharacteristic
605C2C4×C5×AGL(1,ℤ/8)11yescharacteristic
606C2C5×#295111yescharacteristic
607C2C5×#331511yescharacteristic
608C2C5×#331811yescharacteristic
609C2C5×#338611yescharacteristic
610C2C5×#338911yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutatorC2×C4C23×C4×C5
Frattini, cosocleC22×C4C24×C5
prime radicalC22×C5×D4C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C4×C5×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C5×#2370C2semidirect
4. C5×#1992C2semidirect
5. C5×#1947C2semidirect
6. C5×#1944C2semidirect
7. C5×#1942C2semidirect
8. C5×#1921C2semidirect
9. C5×#1919C2semidirect
12. C5×#1771C2semidirect
21. C5×#478C4semidirect
60. #22974C5direct (N × H)
70. C5×#125C2×C4semidirect
106. C5×#107C2×C4semidirect
107. C5×#106C2×C4semidirect
108. C5×C4⋊C8C2×C4semidirect
126. #2370C2×C5semidirect
128. #1992C2×C5semidirect
129. #1947C2×C5semidirect
130. #1944C2×C5semidirect
131. #1942C2×C5semidirect
132. #1921C2×C5semidirect
133. #1919C2×C5semidirect
136. #1771C2×C5semidirect
223. #478C4×C5semidirect
335. #125C2×C4×C5semidirect
371. #107C2×C4×C5semidirect
372. #106C2×C4×C5semidirect
373. C4⋊C8C2×C4×C5semidirect
571. C5#22974direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4782
C5×#23702
C5×D4×C4⋊C42
C5×#19922
C5×#19472
C5×#19442
C5×#19422
C5×#19212
C5×#19192
C5×#18622
C5×#17712
C5×#17622
C4×C5×#1022
#229745