Finite Group Databasebeta

← Group #72299803

Character table — Group #72299803

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size113333333333888121212121212121224242424242424242424242424242464646464128128128128128128
order12222222222222444444444222222444444444336666661212
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ311111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ41111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1
χ51111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32
χ61111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32
χ7111111111111-11-111111111-1-1-1-1-11-11111-1-1-1-11111-11-11-1-1
χ8111111111111-11-111111111-1-1-1-1-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32
χ9111111111111-11-111111111-1-1-1-1-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32
χ10111111111111-1-1111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111
χ11111111111111-1-1111111111-1-1-1-1-1-11-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32
χ12111111111111-1-1111111111-1-1-1-1-1-11-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32
χ132-2222-2-2-2-222-20002222-2-2-2-200000000000000022-2-2000000
χ142-2222-2-2-2-222-20002222-2-2-2-2000000000000000−1−i3−1+i31+i31−i3000000
χ152-2222-2-2-2-222-20002222-2-2-2-2000000000000000−1+i3−1−i31−i31+i3000000
χ16333333333333333-1-1-1-1-1-1-1-13-1-1-1-133-1-1-1-1-1-1-1-10000000000
χ173333333333333-3-3-1-1-1-1-1-1-1-13-1-1-1-1-3-3111111110000000000
χ18333333333333-33-3-1-1-1-1-1-1-1-1-311113-3-1-1-1-111110000000000
χ19333333333333-3-33-1-1-1-1-1-1-1-1-31111-331111-1-1-1-10000000000
χ20666-2-2-2-2-2-2-2-2606022-2-222-2-200000-2022-2-200000000000000
χ21666-2-2-2-2-2-2-2-26060-2-222-2-22200000-20-2-22200000000000000
χ22666-2-2-2-2-2-2-2-260-6022-2-222-2-20000020-2-22200000000000000
χ23666-2-2-2-2-2-2-2-260-60-2-222-2-222000002022-2-200000000000000
χ2466-2-2-26-2-2-26-2-20062-22-22-22-2000000-2000022-2-20000000000
χ2566-2-2-26-2-2-26-2-2006-22-22-22-22000000-20000-2-2220000000000
χ2666-2-2-26-2-2-26-2-200-62-22-22-22-200000020000-2-2220000000000
χ2766-2-2-26-2-2-26-2-200-6-22-22-22-220000002000022-2-20000000000
χ2866-2-2-2-26-2-2-26-26002-2-222-2-22-222-2-200000000000000000000
χ2966-2-2-2-26-2-2-26-2600-222-2-222-2-2-2-22200000000000000000000
χ3066-2-2-2-26-2-2-26-2-6002-2-222-2-222-2-22200000000000000000000
χ3166-2-2-2-26-2-2-26-2-600-222-2-222-2222-2-200000000000000000000
χ326-6666-6-6-6-666-6000-2-2-2-222220000000000000000000000000
χ336-66-2-22222-2-2-600022-2-2-2-2220000000004i−4i00000000000000
χ346-66-2-22222-2-2-600022-2-2-2-222000000000−4i4i00000000000000
χ356-66-2-22222-2-2-6000-2-22222-2-200000004i−4i0000000000000000
χ366-66-2-22222-2-2-6000-2-22222-2-20000000−4i4i0000000000000000
χ376-6-2-2-22-622-2620002-2-22-222-204-40000000000000000000000
χ386-6-2-2-22-622-2620002-2-22-222-20-440000000000000000000000
χ396-6-2-2-22-622-262000-222-22-2-220004-400000000000000000000
χ406-6-2-2-22-622-262000-222-22-2-22000-4400000000000000000000
χ416-6-2-2-2-62226-220002-22-2-22-2200000000000004-40000000000
χ426-6-2-2-2-62226-220002-22-2-22-220000000000000-440000000000
χ436-6-2-2-2-62226-22000-22-222-22-2000000000004-4000000000000
χ446-6-2-2-2-62226-22000-22-222-22-200000000000-44000000000000
χ451212-412-4-4-412-4-4-4-4000000000000000000000000000000000000
χ461212-4-412-4-4-412-4-4-4000000000000000000000000000000000000
χ4712-12-412-444-124-4-44000000000000000000000000000000000000
χ4812-12-4-412444-12-4-44000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).