Finite Group Databasebeta

← C2×#10603989 #13034796

Subgroups — C2×#10603989 #13034796

Order 1280.

1542 conjugacy classes of subgroups.

The subgroup lattice has 606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×Q8×AGL(1,𝔽5)C211yesmaximal, characteristic
2C22×#4009C211yesmaximal, characteristic
3C22×#3994C211yesmaximal, characteristic
4C2×#65712C211yesmaximal, characteristic
5C2×D5×#103C211yesmaximal, characteristic
6C2×(C2×AGL(1,𝔽5))⋊C8C211yesmaximal, characteristic
7C2×#64874C211yesmaximal, characteristic
8#10603989C218yesmaximal, direct product factor
9C22×Q8×D5C2211yescharacteristic
10C2×Q8×AGL(1,𝔽5)—24no—
11C2×Q8×AGL(1,𝔽5)—24no—
12C2×Q8×AGL(1,𝔽5)—22no—
13C2×Q8×AGL(1,𝔽5)C2214yes—
14C22×C4⋊AGL(1,𝔽5)—21no—
15C22×C4⋊AGL(1,𝔽5)—21no—
16C22×C4⋊AGL(1,𝔽5)C2211yescharacteristic
17C22×C4⋊AGL(1,𝔽5)C2211yescharacteristic
18C22×C4×AGL(1,𝔽5)—21no—
19C22×C4×AGL(1,𝔽5)C2211yescharacteristic
20C22×D5⋊C8C2211yescharacteristic
21C22×C8×D5C2211yescharacteristic
22C2×D5×C4⋊C4C2211yescharacteristic
23C2×#4009—24no—
24C2×#4009C2214yes—
25C2×(C2×AGL(1,𝔽5))⋊C4—21no—
26C2×#3994—24no—
27C2×#3994C2214yes—
28#65712—22no—
29#65712C2214yes—
30C2×C5×#103C411yescharacteristic, complemented
31C2×#3967C411yescharacteristic, complemented
32C2×#3948C411yescharacteristic, complemented
33C2×#3942C411yescharacteristic, complemented
34D5×#103C414yescomplemented
35D5×#103C2214yes—
36(C2×AGL(1,𝔽5))⋊C8C2214yes—
37#64874C2214yes—
38C2×#1863—51nomaximal, Sylow
39C23×AGL(1,𝔽5)—21no—
40C23×AGL(1,𝔽5)—21no—
41C23×AGL(1,𝔽5)D411yescharacteristic
42C23×AGL(1,𝔽5)D411yescharacteristic
43C22×C5×Q8C2×C411yescharacteristic
44C2×Q8×D5—21no—
45C2×Q8×D5—22no—
46C2×Q8×D5—22no—
47C2×Q8×D5—21no—
48C2×Q8×D5C2×C412yes—
49C2×Q8×D5D414yes—
50C2×Q8×D5Q814yes—
51C2×Q8×D5C2312yes—
52C22×C4×D5—21no—
53C22×C4×D5—21no—
54C22×C4×D5C2311yescharacteristic
55C22×Dic10—21no—
56C22×Dic10C2×C411yescharacteristic
57C22×#170—21no—
58Q8×AGL(1,𝔽5)—216no—
59Q8×AGL(1,𝔽5)—28no—
60Q8×AGL(1,𝔽5)—28no—
61C2×C4⋊AGL(1,𝔽5)—28no—
62C2×C4⋊AGL(1,𝔽5)—24no—
63C2×C4⋊AGL(1,𝔽5)—21no—
64C2×C4⋊AGL(1,𝔽5)—22no—
65C2×C4⋊AGL(1,𝔽5)—22no—
66C2×C4⋊AGL(1,𝔽5)—22no—
67C2×C4⋊AGL(1,𝔽5)—24no—
68C2×C4⋊AGL(1,𝔽5)—21no—
69C2×C4⋊AGL(1,𝔽5)—44no—
70C2×C4⋊AGL(1,𝔽5)D414yes—
71C2×C4⋊AGL(1,𝔽5)C2312yes—
72C2×C4⋊AGL(1,𝔽5)C2312yes—
73C2×C4×AGL(1,𝔽5)—28no—
74C2×C4×AGL(1,𝔽5)—24no—
75C2×C4×AGL(1,𝔽5)—22no—
76C2×C4×AGL(1,𝔽5)—22no—
77C2×C4×AGL(1,𝔽5)D412yes—
78C2×C4×AGL(1,𝔽5)C2312yes—
79C2×D5⋊C8—22no—
80C2×D5⋊C8—22no—
81C2×D5⋊C8—21no—
82C2×D5⋊C8C2312yes—
83C22×C5×C8C2×C411yescharacteristic
84C2×C5×C4⋊C4C2×C411yescharacteristic
85C2×C4⋊Dic5C2×C411yescharacteristic
86C2×#683—21no—
87C22×#168C2×C411yescharacteristic
88C2×C8×D5—22no—
89C2×C8×D5—22no—
90C2×C8×D5C2×C412yes—
91C2×C8×D5C2312yes—
92D5×C4⋊C4—21no—
93D5×C4⋊C4—21no—
94D5×C4⋊C4C2×C412yes—
95D5×C4⋊C4C2312yes—
96#4009—28no—
97(C2×AGL(1,𝔽5))⋊C4—24no—
98#3994—28no—
99C5×#103C2×C414yescomplemented
100#3967C2×C414yescomplemented
101#3948C2×C414yescomplemented
102#3942C2×C414yescomplemented
103C22×C4×Q8—51no—
104C22×#107—51no—
105C22×#103—51no—
106C22×#103—51no—
107C2×#389—51no—
108#1863—58no—
109C2×#340—51no—
110C2×#336—51no—
111C23×D5C2×D411yescharacteristic
112C22×AGL(1,𝔽5)—22no—
113C22×AGL(1,𝔽5)—22no—
114C22×AGL(1,𝔽5)—22no—
115C22×AGL(1,𝔽5)—24no—
116C22×AGL(1,𝔽5)—22no—
117C22×AGL(1,𝔽5)—22no—
118C22×AGL(1,𝔽5)—22no—
119C22×AGL(1,𝔽5)—22no—
120C22×AGL(1,𝔽5)—42no—
121C22×AGL(1,𝔽5)—42no—
122C22×AGL(1,𝔽5)—42no—
123C22×AGL(1,𝔽5)—42no—
124C22×AGL(1,𝔽5)—42no—
125C22×AGL(1,𝔽5)Q1614yes—
126C22×AGL(1,𝔽5)C2×D412yes—
127C22×AGL(1,𝔽5)C2×D412yes—
128C2×C5×Q8—21no—
129C2×C5×Q8—22no—
130C2×C5×Q8C4⋊C414yescomplemented
131C2×C5×Q8C22×C412yes—
132C22×C4×C5—21no—
133C22×C4×C5—21no—
134C22×C4×C5C22×C411yescharacteristic
135C22×Dic5—21no—
136C22×Dic5—21no—
137C22×Dic5#4111yescharacteristic
138Q8×D5—24no—
139Q8×D5—24no—
140Q8×D5—24no—
141Q8×D5—24no—
142Q8×D5—24no—
143Q8×D5—22no—
144Q8×D5—22no—
145Q8×D5C4⋊C418yescomplemented
146Q8×D5C2×D414yes—
147Q8×D5C2×Q814yes—
148C2×C4×D5—22no—
149C2×C4×D5—24no—
150C2×C4×D5—24no—
151C2×C4×D5—22no—
152C2×C4×D5—22no—
153C2×C4×D5—22no—
154C2×C4×D5—42no—
155C2×C4×D5—42no—
156C2×C4×D5C22×C411yescharacteristic
157C2×C4×D5C2×D412yes—
158C2×C4×D5C2×D412yes—
159C2×C4×D5C2×D411yescharacteristic
160C2×C4×D5C2×Q812yes—
161C2×C4×D5#4112yes—
162C2×C4×D5#4111yescharacteristic
163C2×C4×D5C2411yescharacteristic
164C2×Dic10—22no—
165C2×Dic10—21no—
166C2×Dic10—22no—
167C2×Dic10—24no—
168C2×Dic10—24no—
169C2×Dic10—22no—
170C2×Dic10C4⋊C414yescomplemented
171C2×Dic10C22×C412yes—
172C2×#170—22no—
173C2×#170—42no—
174C4⋊AGL(1,𝔽5)—216no—
175C4⋊AGL(1,𝔽5)—24no—
176C4⋊AGL(1,𝔽5)—22no—
177C4⋊AGL(1,𝔽5)—22no—
178C4⋊AGL(1,𝔽5)—22no—
179C4⋊AGL(1,𝔽5)—48no—
180C4⋊AGL(1,𝔽5)—42no—
181C4⋊AGL(1,𝔽5)C2×D414yes—
182C4×AGL(1,𝔽5)—216no—
183C4×AGL(1,𝔽5)—24no—
184C4×AGL(1,𝔽5)—22no—
185C4×AGL(1,𝔽5)—22no—
186D5⋊C8—22no—
187D5⋊C8—22no—
188D5⋊C8—42no—
189C2×C5×C8—22no—
190C2×C5×C8C22×C412yes—
191C5×C4⋊C4—21no—
192C5×C4⋊C4C22×C412yes—
193C4⋊Dic5—21no—
194C4⋊Dic5C22×C412yes—
195#683—22no—
196#683—22no—
197C2×#168—22no—
198C2×#168C22×C412yes—
199C8×D5—24no—
200C8×D5—22no—
201C8×D5—22no—
202C23×Q8—51no—
203C23×C8—51no—
204C23×C8—51no—
205C2×C4×Q8—54no—
206C2×C4×Q8—102no—
207C2×C4×Q8—104no—
208C2×C4×Q8—104no—
209C22×C4⋊C4—51no—
210C22×C4⋊C4—51no—
211C22×C4⋊C4—51no—
212C22×C4⋊C4—101no—
213C22×C4⋊C4—101no—
214C22×C42—51no—
215C22×C42—101no—
216C2×#107—54no—
217C2×#107—104no—
218C2×#103—51no—
219C2×#103—51no—
220C2×#103—51no—
221C2×#103—54no—
222C2×#103—54no—
223C2×#103—54no—
224C2×#103—104no—
225C2×#103AGL(1,𝔽5)11yescharacteristic, complemented
226#389—54no—
227#389—102no—
228C2×#95—101no—
229#340—54no—
230#336—54no—
231C23×C5C4×D411yescharacteristic
232C22×D5C4×D411yescharacteristic
233C22×D5#12012yes—
234C22×D5C22⋊Q812yes—
235C22×D5C2×Q1612yes—
236C22×D5#13512yes—
237C22×D5AGL(1,ℤ/8)12yes—
238C22×D5#13712yes—
239C22×D5C22×D411yescharacteristic
240C2×AGL(1,𝔽5)—22no—
241C2×AGL(1,𝔽5)—22no—
242C2×AGL(1,𝔽5)—28no—
243C2×AGL(1,𝔽5)—22no—
244C2×AGL(1,𝔽5)—24no—
245C2×AGL(1,𝔽5)—22no—
246C2×AGL(1,𝔽5)—22no—
247C2×AGL(1,𝔽5)—42no—
248C2×AGL(1,𝔽5)—42no—
249C2×AGL(1,𝔽5)—44no—
250C2×AGL(1,𝔽5)—48no—
251C2×AGL(1,𝔽5)—42no—
252C2×AGL(1,𝔽5)—42no—
253C2×AGL(1,𝔽5)—42no—
254C2×AGL(1,𝔽5)—84no—
255C2×AGL(1,𝔽5)C2×Q1614yes—
256C5×Q8—22no—
257C5×Q8—24no—
258C5×Q8C2×C4⋊C414yescomplemented
259C2×C4×C5—22no—
260C2×C4×C5—24no—
261C2×C4×C5—22no—
262C2×C4×C5—42no—
263C2×C4×C5C2×C4⋊C412yes—
264C2×C4×C5C4×D412yes—
265C2×C4×C5C4×D411yescharacteristic
266C2×C4×C5C23×C411yescharacteristic
267C2×Dic5—22no—
268C2×Dic5—24no—
269C2×Dic5—22no—
270C2×Dic5—42no—
271C2×Dic5C4×D411yescharacteristic
272C2×Dic5C22⋊Q812yes—
273C2×Dic5#12312yes—
274C2×Dic5C2×#4111yescharacteristic
275C4×D5—24no—
276C4×D5—24no—
277C4×D5—28no—
278C4×D5—42no—
279C4×D5—42no—
280C4×D5—44no—
281C4×D5C2×C4⋊C412yes—
282C4×D5C4×D412yes—
283C4×D5#12012yes—
284C4×D5C22⋊Q812yes—
285C4×D5C22⋊Q812yes—
286C4×D5#12312yes—
287C4×D5C22×D411yescharacteristic
288C4×D5C22×D411yescharacteristic
289C4×D5C22×Q811yescharacteristic
290C4×D5C2×#4111yescharacteristic
291Dic10—22no—
292Dic10—24no—
293Dic10—24no—
294Dic10—24no—
295Dic10—28no—
296Dic10C2×C4⋊C414yescomplemented
297#170—42no—
298C5×C8—22no—
299#168—22no—
300C22×Q8—54no—
301C22×Q8—54no—
302C22×Q8—52no—
303C22×Q8—52no—
304C22×Q8—51no—
305C22×Q8—101no—
306C22×Q8—101no—
307C22×Q8—102no—
308C22×Q8—101no—
309C22×Q8—102no—
310C22×Q8C2×AGL(1,𝔽5)11yescharacteristic
311C23×C4—51no—
312C23×C4—51no—
313C23×C4—51no—
314C23×C4—101no—
315C23×C4—101no—
316C23×C4—101no—
317C23×C4—101no—
318C22×C8—51no—
319C22×C8—52no—
320C22×C8—52no—
321C22×C8—52no—
322C22×C8—102no—
323C22×C8—102no—
324C22×C8—102no—
325C22×C8—101no—
326C22×C8—102no—
327C22×C8—101no—
328C22×C8C2×AGL(1,𝔽5)11yescharacteristic
329C4×Q8—108no—
330C4×Q8—108no—
331C4×Q8—1016no—
332C2×C4⋊C4—52no—
333C2×C4⋊C4—54no—
334C2×C4⋊C4—51no—
335C2×C4⋊C4—52no—
336C2×C4⋊C4—52no—
337C2×C4⋊C4—52no—
338C2×C4⋊C4—101no—
339C2×C4⋊C4—101no—
340C2×C4⋊C4—101no—
341C2×C4⋊C4—102no—
342C2×C4⋊C4—101no—
343C2×C4⋊C4—104no—
344C2×C4⋊C4—108no—
345C2×C4⋊C4—102no—
346C2×C4⋊C4—102no—
347C2×C4⋊C4—101no—
348C2×C4⋊C4—104no—
349C2×C4⋊C4—204no—
350C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic
351C2×C42—52no—
352C2×C42—52no—
353C2×C42—104no—
354C2×C42—102no—
355C2×C42—102no—
356C2×C42—108no—
357#107—108no—
358#103—54no—
359#103—54no—
360#103—54no—
361#103—108no—
362#103C2×AGL(1,𝔽5)14yescomplemented
363#95—104no—
364C22×C5#38512yes—
365C22×C5C4×Q1612yes—
366C22×C5#44012yes—
367C22×C5C2×C4×D411yescharacteristic
368C2×D5#38512yes—
369C2×D5C4×Q1612yes—
370C2×D5#44012yes—
371C2×D5#44914yes—
372C2×D5#45114yes—
373C2×D5#47714yes—
374C2×D5#47914yes—
375C2×D5C2×#12011yescharacteristic
376C2×D5C2×C22⋊Q811yescharacteristic
377C2×D5C22×Q1611yescharacteristic
378C2×D5C2×#13511yescharacteristic
379C2×D5C2×AGL(1,ℤ/8)11yescharacteristic
380C2×D5C2×#13711yescharacteristic
381AGL(1,𝔽5)—24no—
382AGL(1,𝔽5)—42no—
383AGL(1,𝔽5)—44no—
384AGL(1,𝔽5)—82no—
385C4×C5—24no—
386C4×C5—42no—
387C4×C5#38512yes—
388C4×C5C22×C4⋊C411yescharacteristic
389C4×C5C2×C4×D411yescharacteristic
390Dic5—24no—
391Dic5—42no—
392Dic5#38512yes—
393Dic5C2×C22⋊Q811yescharacteristic
394Dic5C2×#12311yescharacteristic
395C24—51no—
396C2×Q8—22no—
397C2×Q8—21no—
398C2×Q8—54no—
399C2×Q8—58no—
400C2×Q8—54no—
401C2×Q8—54no—
402C2×Q8—52no—
403C2×Q8—104no—
404C2×Q8—104no—
405C2×Q8—102no—
406C2×Q8—102no—
407C2×Q8—104no—
408C2×Q8—102no—
409C2×Q8—104no—
410C2×Q8—104no—
411C2×Q8—104no—
412C2×Q8—102no—
413C2×Q8—104no—
414C2×Q8—102no—
415C2×Q8—101no—
416C2×Q8C4⋊AGL(1,𝔽5)14yescomplemented
417C2×Q8C22×AGL(1,𝔽5)12yes—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—51no—
421C22×C4—52no—
422C22×C4—52no—
423C22×C4—51no—
424C22×C4—52no—
425C22×C4—51no—
426C22×C4—52no—
427C22×C4—51no—
428C22×C4—51no—
429C22×C4—52no—
430C22×C4—54no—
431C22×C4—52no—
432C22×C4—104no—
433C22×C4—102no—
434C22×C4—104no—
435C22×C4—102no—
436C22×C4—102no—
437C22×C4—102no—
438C22×C4—102no—
439C22×C4—102no—
440C22×C4—101no—
441C22×C4—104no—
442C22×C4—102no—
443C22×C4—102no—
444C22×C4—102no—
445C22×C4—102no—
446C22×C4—101no—
447C22×C4—102no—
448C22×C4—202no—
449C22×C4—202no—
450C22×C4—202no—
451C22×C4—202no—
452C22×C4—202no—
453C22×C4—202no—
454C22×C4—202no—
455C22×C4C22×AGL(1,𝔽5)11yescharacteristic
456C2×C8—22no—
457C2×C8—52no—
458C2×C8—102no—
459C2×C8—102no—
460C2×C8—104no—
461C2×C8—102no—
462C2×C8—102no—
463C2×C8—102no—
464C2×C8—102no—
465C2×C8—202no—
466C2×C8—202no—
467C2×C8C22×AGL(1,𝔽5)12yes—
468C4⋊C4—21no—
469C4⋊C4—54no—
470C4⋊C4—52no—
471C4⋊C4—102no—
472C4⋊C4—102no—
473C4⋊C4—104no—
474C4⋊C4—102no—
475C4⋊C4—102no—
476C4⋊C4—102no—
477C4⋊C4—1016no—
478C4⋊C4—101no—
479C4⋊C4—202no—
480C4⋊C4—208no—
481C4⋊C4C22×AGL(1,𝔽5)12yes—
482C42—104no—
483C42—102no—
484C42—102no—
485C42—1016no—
486C2×C5#186314yescomplemented
487C2×C5C2×#38511yescharacteristic
488C2×C5C2×C4×Q1611yescharacteristic
489C2×C5C2×#44011yescharacteristic
490D5#186314yescomplemented
491D5C2×#45111yescharacteristic
492D5C2×#44911yescharacteristic
493D5C2×#47711yescharacteristic
494D5C2×#47911yescharacteristic
495C23—52no—
496C23—52no—
497C23—52no—
498C23—52no—
499C23—52no—
500C23—52no—
501C23—51no—
502C23—51no—
503C23D4×AGL(1,𝔽5)11yescharacteristic
504Q8—24no—
505Q8—22no—
506Q8—54no—
507Q8—104no—
508Q8—104no—
509Q8—108no—
510Q8—104no—
511Q8—102no—
512Q8C2×C4⋊AGL(1,𝔽5)14yescomplemented
513C2×C4—24no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—42no—
517C2×C4—52no—
518C2×C4—52no—
519C2×C4—51no—
520C2×C4—51no—
521C2×C4—52no—
522C2×C4—52no—
523C2×C4—52no—
524C2×C4—52no—
525C2×C4—51no—
526C2×C4—52no—
527C2×C4—51no—
528C2×C4—51no—
529C2×C4—51no—
530C2×C4—52no—
531C2×C4—54no—
532C2×C4—104no—
533C2×C4—104no—
534C2×C4—108no—
535C2×C4—102no—
536C2×C4—102no—
537C2×C4—108no—
538C2×C4—104no—
539C2×C4—102no—
540C2×C4—104no—
541C2×C4—102no—
542C2×C4—102no—
543C2×C4—102no—
544C2×C4—102no—
545C2×C4—202no—
546C2×C4—202no—
547C2×C4—204no—
548C2×C4—204no—
549C2×C4—202no—
550C2×C4—202no—
551C2×C4—208no—
552C2×C4—202no—
553C2×C4—202no—
554C2×C4—202no—
555C2×C4—202no—
556C2×C4—404no—
557C2×C4C2×C4⋊AGL(1,𝔽5)12yes—
558C2×C4D4×AGL(1,𝔽5)11yescharacteristic
559C2×C4D4×AGL(1,𝔽5)12yes—
560C2×C4C23×AGL(1,𝔽5)11yescharacteristic
561C8—22no—
562C8—102no—
563C8—202no—
564C5C2×#186311yescharacteristic, complemented, Sylow
565C22—51no—
566C22—51no—
567C22—52no—
568C22—51no—
569C22—51no—
570C22—52no—
571C22—54no—
572C22—54no—
573C22—54no—
574C22—54no—
575C22—51no—
576C22—51no—
577C22—52no—
578C22#6569912yes—
579C22#6573512yes—
580C22Q16×AGL(1,𝔽5)12yes—
581C22C2×D4×AGL(1,𝔽5)11yescharacteristic
582C4—24no—
583C4—42no—
584C4—51no—
585C4—51no—
586C4—52no—
587C4—104no—
588C4—104no—
589C4—202no—
590C4—204no—
591C4—202no—
592C4—402no—
593C4#6569912yes—
594C4C22×C4⋊AGL(1,𝔽5)11yescharacteristic
595C4C2×D4×AGL(1,𝔽5)11yescharacteristic
596C2—51no—
597C2—51no—
598C2—51no—
599C2—51no—
600C2—54no—
601C2#1060398914yesdirect product factor
602C2C2×#6569911yescharacteristic
603C2C2×#6573511yescharacteristic
604C2C2×Q16×AGL(1,𝔽5)11yescharacteristic
subgroupG/H
centerC23D4×AGL(1,𝔽5)
commutatorC2×C4×C5C23×C4
FrattiniC2×C4C23×AGL(1,𝔽5)
FittingC2×C5×#103C4
socleC23×C5C4×D4
prime radicalC23×D5C2×D4
cosocleC2×C4×D5C24
hypercenterC2×#103AGL(1,𝔽5)
hypocenterC5C2×#1863
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

Complements

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

NH ≅ G/Ntype
8. #10603989C2direct (N × H)
30. C2×C5×#103C4semidirect
31. C2×#3967C4semidirect
32. C2×#3948C4semidirect
33. C2×#3942C4semidirect
34. D5×#103C4semidirect
99. C5×#103C2×C4semidirect
100. #3967C2×C4semidirect
101. #3948C2×C4semidirect
102. #3942C2×C4semidirect
130. C2×C5×Q8C4⋊C4semidirect
145. Q8×D5C4⋊C4semidirect
170. C2×Dic10C4⋊C4semidirect
225. C2×#103AGL(1,𝔽5)semidirect
258. C5×Q8C2×C4⋊C4semidirect
296. Dic10C2×C4⋊C4semidirect
362. #103C2×AGL(1,𝔽5)semidirect
416. C2×Q8C4⋊AGL(1,𝔽5)semidirect
486. C2×C5#1863semidirect
490. D5#1863semidirect
512. Q8C2×C4⋊AGL(1,𝔽5)semidirect
564. C5C2×#1863semidirect
601. C2#10603989direct (N × H)

Maximal subgroups

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

subgroupindex
C22×Q8×AGL(1,𝔽5)2
C22×#40092
C22×#39942
C2×#657122
C2×D5×#1032
C2×(C2×AGL(1,𝔽5))⋊C82
C2×#648742
#106039892
C2×#18635