Finite Group Databasebeta

← Group #11792409

Character table — Group #11792409

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121224666666666612121212121212121212224466661212121224446688121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-1
χ922222222-1222222-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002200-1-1220000-1-1-1-1-1-10000
χ1022222222-1222222-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-20011-2-200001111110000
χ1122222222-1222222-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000000000002200-1-1-2-20000-1-111110000
χ1222222222-1222222-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111000000000000-2-2001122000011-1-1-1-10000
χ132222222-12222-1-1-12-1-1-1-122-1-1-1222-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-100220000-1-1-1-10000000000
χ142222222-12222-1-1-12-1-1-1-122-1-1-1222-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111111100-2-2000011110000000000
χ152222222-12222-1-1-12-1-1-1-122-1-1-1222-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111112222-1-1-1-1-1-1-1-100-2-2000011110000000000
χ162222222-12222-1-1-12-1-1-1-122-1-1-1222-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-21111111100220000-1-1-1-10000000000
χ1722222-2-222-2-22-2-22222-2-22222-22-2-2-2-222-2-2-222-2-220000002-2000000002-200000000000000000000002-200000022-2-20000
χ1822222-2-222-2-22-2-22222-2-22222-22-2-2-2-222-2-2-222-2-220000002-2000000002-20000000000000000000000-22000000-2-2220000
χ1922222-2-22-1-2-22-2-22-122-2-2-1-1-12-2-11111-12-211-1-111-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i30000000000000000−i3i32-20000−i3i3-1-1110000
χ2022222-2-22-1-2-22-2-22-122-2-2-1-1-12-2-11111-12-211-1-111-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i30000000000000000i3−i3-220000i3−i311-1-10000
χ2122222-2-22-1-2-22-2-22-122-2-2-1-1-12-2-11111-12-211-1-111-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i30000000000000000−i3i3-220000−i3i311-1-10000
χ2222222-2-22-1-2-22-2-22-122-2-2-1-1-12-2-11111-12-211-1-111-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i30000000000000000i3−i32-20000i3−i3-1-1110000
χ232222-22-2222-2-222222222222-2-2-22-2222-2-22-22222-2000000-2-200000000-2-20000000000000000002-2000022-2-20000000000
χ242222-22-2222-2-222222222222-2-2-22-2222-2-22-22222-2000000-2-200000000-2-2000000000000000000-220000-2-2220000000000
χ252222-22-2-122-2-2-1-1-12-1-1-1-122-111-22-2-1-1-1112-2-1-1-1-1-200−i3i30011−i3i3−i3i3−i3i30011−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3002-20000-1-1110000000000
χ262222-22-2-122-2-2-1-1-12-1-1-1-122-111-22-2-1-1-1112-2-1-1-1-1-200−i3i30011−i3i3−i3i3−i3i30011−i3i3−i3i30000i3i3−i3−i3i3i3−i3−i300-22000011-1-10000000000
χ272222-22-2-122-2-2-1-1-12-1-1-1-122-111-22-2-1-1-1112-2-1-1-1-1-200i3−i30011i3−i3i3−i3i3−i30011i3−i3i3−i30000−i3−i3i3i3−i3−i3i3i300-22000011-1-10000000000
χ282222-22-2-122-2-2-1-1-12-1-1-1-122-111-22-2-1-1-1112-2-1-1-1-1-200i3−i30011i3−i3i3−i3i3−i30011i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3002-20000-1-1110000000000
χ292222-2-2222-22-2-2-22222-2-2222-22-2-22-2-22-22-2222-2-2-2000000-2200000000-2200000000000000000000000000000000002-200
χ302222-2-2222-22-2-2-22222-2-2222-22-2-22-2-22-22-2222-2-2-2000000-2200000000-220000000000000000000000000000000000-2200
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002200000000-2-2000022-2-22222-2-2-2-20000000000000000000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002200000000-2-20000-2-222-2-2-2-222220000000000000000000000
χ3322-2-2222-12-2-2-2-1-1-121111-2-2-1-1-1222-1-1-111-2-21111-200−i3i300-1-1−i3i3−i3i3i3−i30011i3−i3i3−i322-2-2-1-1-1-1111100000000−i3i3−i3i30000000000
χ3422-2-2222-12-2-2-2-1-1-121111-2-2-1-1-1222-1-1-111-2-21111-200−i3i300-1-1−i3i3−i3i3i3−i30011i3−i3i3−i3-2-2221111-1-1-1-100000000i3−i3i3−i30000000000
χ3522-2-2222-12-2-2-2-1-1-121111-2-2-1-1-1222-1-1-111-2-21111-200i3−i300-1-1i3−i3i3−i3−i3i30011−i3i3−i3i322-2-2-1-1-1-1111100000000i3−i3i3−i30000000000
χ3622-2-2222-12-2-2-2-1-1-121111-2-2-1-1-1222-1-1-111-2-21111-200i3−i300-1-1i3−i3i3−i3−i3i30011−i3i3−i3i3-2-2221111-1-1-1-100000000−i3i3−i3i30000000000
χ3722-2-22-2-22222-2-2-222-2-222-2-222-22-2-2-2-22-2222-2-222-20000002-200000000-220000000000000000000000000000000000002i−2i
χ3822-2-22-2-22222-2-2-222-2-222-2-222-22-2-2-2-22-2222-2-222-20000002-200000000-22000000000000000000000000000000000000−2i2i
χ3922-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22-222222-22-2-2-2-222-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ4022-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22-222222-22-2-2-2-22-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ4122-2-2-22-22-1-222222-1-2-2-2-211-1-2-21-11-1-1-1221-11111-12-222-1-111-1-1-1-1-2-211-1-111110000000000000000−i3i3000000i3−i3−i3i3−i3i30000
χ4222-2-2-22-22-1-222222-1-2-2-2-211-1-2-21-11-1-1-1221-11111-12-222-1-111-1-1-1-1-2-211-1-111110000000000000000i3−i3000000−i3i3i3−i3i3−i30000
χ4322-2-2-22-22-1-222222-1-2-2-2-211-1-2-21-11-1-1-1221-11111-1-22-2-21111111122-1-1-1-1-1-1-1-10000000000000000−i3i3000000i3−i3i3−i3i3−i30000
χ4422-2-2-22-22-1-222222-1-2-2-2-211-1-2-21-11-1-1-1221-11111-1-22-2-21111111122-1-1-1-1-1-1-1-10000000000000000i3−i3000000−i3i3−i3i3−i3i30000
χ4522-2-2-22-2-12-222-1-1-121111-2-2-111-22-2-1-1-1-1-1-22111122-2-1-12211-1-1-1-111-2-2-1-111110000−i3−i3i3i3i3i3−i3−i300000000−i3i3i3−i30000000000
χ4622-2-2-22-2-12-222-1-1-121111-2-2-111-22-2-1-1-1-1-1-22111122-2-1-12211-1-1-1-111-2-2-1-111110000i3i3−i3−i3−i3−i3i3i300000000i3−i3−i3i30000000000
χ4722-2-2-22-2-12-222-1-1-121111-2-2-111-22-2-1-1-1-1-1-2211112-2211-2-2111111-1-122-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000i3−i3−i3i30000000000
χ4822-2-2-22-2-12-222-1-1-121111-2-2-111-22-2-1-1-1-1-1-2211112-2211-2-2111111-1-122-1-1-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000−i3i3i3−i30000000000
χ4922-2-2-2-22222-22-2-222-2-222-2-22-22-2-22-2-222-22-2-2-2222000000-22000000002-200000000000000002-20022000000-2-200000000
χ5022-2-2-2-22222-22-2-222-2-222-2-22-22-2-22-2-222-22-2-2-2222000000-22000000002-20000000000000000-2200-2-20000002200000000
χ5122-2-2-2-222-12-22-2-22-1-2-22211-1-2211-111-12-2-1111-1-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i30000000000002-200-1-100000011−i3i3i3−i30000
χ5222-2-2-2-222-12-22-2-22-1-2-22211-1-2211-111-12-2-1111-1-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i3000000000000-220011000000-1-1i3−i3−i3i30000
χ5322-2-2-2-222-12-22-2-22-1-2-22211-1-2211-111-12-2-1111-1-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i30000000000002-200-1-100000011i3−i3−i3i30000
χ5422-2-2-2-222-12-22-2-22-1-2-22211-1-2211-111-12-2-1111-1-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i3000000000000-220011000000-1-1−i3i3i3−i30000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ5744444-4-4-24-4-4422-24-2-22244-2-224-4-422-2-22-4-4-2-2224000000-2200000000-2200000000000000000000000000000000000000
χ5844444-4-4-2-2-4-4422-2-2-2-222-2-21-22-222-1-11-222211-1-1-20000−2i32i31-1i3i3−i3−i300−2i32i31-1i3i3−i3−i30000000000000000000000000000000000
χ5944444-4-4-2-2-4-4422-2-2-2-222-2-21-22-222-1-11-222211-1-1-200002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i30000000000000000000000000000000000
χ604444-44-44-24-4-4444-24444-2-2-2-4-42-22-2-2-2-4-4-22-2-2-2-2200000022000000002200000000000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-2211122-221111200−2i32i300-1-1i3−i3i3−i3−2i32i300-1-1i3−i3i3−i30000000000000000000000000000000000
χ624444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-2211122-2211112002i3−2i300-1-1−i3i3−i3i32i3−2i300-1-1−i3i3−i3i30000000000000000000000000000000000
χ634444-4-444-2-44-4-4-44-244-4-4-2-2-2-4422-222-2-442-2-2-22220000002-2000000002-200000000000000000000000000000000000000
χ644444-4-44-24-44-422-24-2-22244-22-2-4-4422-22-2-44-2-222-40000002-2000000002-200000000000000000000000000000000000000
χ654444-4-44-2-2-44-422-2-2-2-222-2-212-222-2-1-112-22-211-1-12000000-113-3-330000-113-3-330000000000000000000000000000000000
χ664444-4-44-2-2-44-422-2-2-2-222-2-212-222-2-1-112-22-211-1-12000000-11-333-30000-11-333-30000000000000000000000000000000000
χ6744-4-44444-2-4-4-4444-2-4-4-4-422-244-2-2-2-2-2-2-4-42222222000000-2-2000000002200000000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-21112222-1-1-1-1200−2i32i30011i3−i3i3−i32i3−2i300-1-1−i3i3−i3i30000000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-21112222-1-1-1-12002i3−2i30011−i3i3−i3i3−2i32i300-1-1i3−i3i3−i30000000000000000000000000000000000
χ7044-4-44-4-44-244-4-4-44-2-4-44422-24-4-22222-2-44-2-222-2-22000000-22000000002-200000000000000000000000000000000000000
χ7144-4-44-4-4-2444-422-2422-2-2-4-4-2-224-4-422-22-24422-2-2-4000000-22000000002-200000000000000000000000000000000000000
χ7244-4-44-4-4-2-244-422-2-222-2-2221-22-222-1-112-2-2-2-1-11120000001-13-3-330000-11-333-30000000000000000000000000000000000
χ7344-4-44-4-4-2-244-422-2-222-2-2221-22-222-1-112-2-2-2-1-11120000001-1-333-30000-113-3-330000000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-2-2-22222221222-22111-2-22-2-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ7544-4-4-44-4-2-2-444-2-2-2-22222221222-22111-2-22-2-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ7644-4-4-4-44-244-4422-2422-2-2-4-4-22-2-4-4422-2-224-422-2-240000002-200000000-2200000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-4422-2-222-2-22212-222-2-1-11-22-22-1-111-20000−2i32i3-11i3i3−i3−i3002i3−2i31-1−i3−i3i3i30000000000000000000000000000000000
χ7844-4-4-4-44-2-24-4422-2-222-2-22212-222-2-1-11-22-22-1-111-200002i3−2i3-11−i3−i3i3i300−2i32i31-1i3i3−i3−i30000000000000000000000000000000000
χ794-44i−4i0004400000-4-44i−4i004i−4i40000000-400004i−4i00000000000000000000000002-22i−2i2-22-22i−2i2i−2i0000000000000000000000
χ804-44i−4i0004400000-4-44i−4i004i−4i40000000-400004i−4i0000000000000000000000000-22−2i2i-22-22−2i2i−2i2i0000000000000000000000
χ814-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i320000−2i2i23−23000000000000000000000002-22i−2i−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ824-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i320000−2i2i23−2300000000000000000000000-22−2i2i1+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ834-44i−4i000-240002i3−2i32-4−2i2i−23234i−4i-2000002i3−2i320000−2i2i−2323000000000000000000000002-22i−2i−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ844-44i−4i000-240002i3−2i32-4−2i2i−23234i−4i-2000002i3−2i320000−2i2i−232300000000000000000000000-22−2i2i1−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ854-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-40000−4i4i00000000000000000000000002-2−2i2i2-22-2−2i2i−2i2i0000000000000000000000
χ864-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-40000−4i4i0000000000000000000000000-222i−2i-22-222i−2i2i−2i0000000000000000000000
χ874-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i3200002i−2i−2323000000000000000000000002-2−2i2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ884-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i3200002i−2i−232300000000000000000000000-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ894-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i3200002i−2i23−23000000000000000000000002-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ904-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i3200002i−2i23−2300000000000000000000000-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ918-88i−8i0008-400000-848i−8i00−4i4i-4000000040000−4i4i00000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i2000002i3−2i3-200002i−2i−2323000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-40004i3−4i344−4i4i−4343−4i4i200000−2i32i3-200002i−2i23−23000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-400000-84−8i8i004i−4i-40000000400004i−4i00000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i2000002i3−2i3-20000−2i2i23−23000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i200000−2i32i3-20000−2i2i−2323000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.