Finite Group Databasebeta

← Group #11808365

Character table — Group #11808365

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order122233466666612121212222244444444121212121212121244444222266466666612121212222244444444121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-111111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1
χ6111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-20000
χ10222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-22202-22-2-2-2000022-2-2002-20000002-200000000022-2-22202-22-2-2-2000022-2-2002-20000002-2000000000
χ1222-2-22202-22-2-2-2000022-2-200-22000000-2200000000022-2-22202-22-2-2-2000022-2-200-22000000-22000000000
χ1322-2-22202-22-2-2-20000-2-2220000002i−2i0000002i−2i0000022-2-22202-22-2-2-20000-2-2220000002i−2i0000002i−2i00000
χ1422-2-22202-22-2-2-20000-2-222000000−2i2i000000−2i2i0000022-2-22202-22-2-2-20000-2-222000000−2i2i000000−2i2i00000
χ152-22-2220-22-22-2-200002-22-22-20000002-2000000000002-22-2220-22-22-2-200002-22-22-20000002-200000000000
χ162-22-2220-22-22-2-200002-22-2-22000000-22000000000002-22-2220-22-22-2-200002-22-2-22000000-2200000000000
χ172-22-2220-22-22-2-20000-22-2200002i−2i0000002i−2i00000002-22-2220-22-22-2-20000-22-2200002i−2i0000002i−2i0000000
χ182-22-2220-22-22-2-20000-22-220000−2i2i000000−2i2i00000002-22-2220-22-22-2-20000-22-220000−2i2i000000−2i2i0000000
χ192-2-22220-2-2-2-22200002-2-22000000000000000002-2002-2-22220-2-2-2-22200002-2-22000000000000000002-200
χ202-2-22220-2-2-2-22200002-2-2200000000000000000-22002-2-22220-2-2-2-22200002-2-2200000000000000000-2200
χ212-2-22220-2-2-2-2220000-222-200000000000000000002i−2i2-2-22220-2-2-2-2220000-222-200000000000000000002i−2i
χ222-2-22220-2-2-2-2220000-222-20000000000000000000−2i2i2-2-22220-2-2-2-2220000-222-20000000000000000000−2i2i
χ2344441-241-2-211-211-2-2000022002200-1-100-1-1000000044441-241-2-211-211-2-2000022002200-1-100-1-10000000
χ2444441-241-2-211-211-2-20000-2-200-2-200110011000000044441-241-2-211-211-2-20000-2-200-2-2001100110000000
χ2544441-2-41-2-211-2-1-12200002200-2-200-1-10011000000044441-2-41-2-211-2-1-12200002200-2-200-1-100110000000
χ2644441-2-41-2-211-2-1-1220000-2-20022001100-1-1000000044441-2-41-2-211-2-1-1220000-2-20022001100-1-10000000
χ274444-214-211-2-21-2-21100000022002200-1-100-1-1000004444-214-211-2-21-2-21100000022002200-1-100-1-100000
χ284444-214-211-2-21-2-211000000-2-200-2-200110011000004444-214-211-2-21-2-211000000-2-200-2-20011001100000
χ294444-21-4-211-2-2122-1-10000002200-2-200-1-10011000004444-21-4-211-2-2122-1-10000002200-2-200-1-1001100000
χ304444-21-4-211-2-2122-1-1000000-2-20022001100-1-1000004444-21-4-211-2-2122-1-1000000-2-20022001100-1-100000
χ3144-4-4-210-2-1122-1003i−3i0000002-2002i−2i00-1100−ii0000044-4-4-210-2-1122-1003i−3i0000002-2002i−2i00-1100−ii00000
χ3244-4-4-210-2-1122-1003i−3i000000-2200−2i2i001-100i−i0000044-4-4-210-2-1122-1003i−3i000000-2200−2i2i001-100i−i00000
χ3344-4-4-210-2-1122-100−3i3i0000002-200−2i2i00-1100i−i0000044-4-4-210-2-1122-100−3i3i0000002-200−2i2i00-1100i−i00000
χ3444-4-4-210-2-1122-100−3i3i000000-22002i−2i001-100−ii0000044-4-4-210-2-1122-100−3i3i000000-22002i−2i001-100−ii00000
χ354-44-41-20-1-221-123i−3i0000002-2002i−2i00-1100−ii00000004-44-41-20-1-221-123i−3i0000002-2002i−2i00-1100−ii0000000
χ364-44-41-20-1-221-123i−3i000000-2200−2i2i001-100i−i00000004-44-41-20-1-221-123i−3i000000-2200−2i2i001-100i−i0000000
χ374-44-41-20-1-221-12−3i3i0000002-200−2i2i00-1100i−i00000004-44-41-20-1-221-12−3i3i0000002-200−2i2i00-1100i−i0000000
χ384-44-41-20-1-221-12−3i3i000000-22002i−2i001-100−ii00000004-44-41-20-1-221-12−3i3i000000-22002i−2i001-100−ii0000000
χ3988-8-82-4024-4-2-240000000000000000000000000000088-8-82-4024-4-2-2400000000000000000000000000000
χ408-88-8-42042-2-44-2000000000000000000000000000008-88-8-42042-2-44-200000000000000000000000000000
χ418-8-882-40-244-22-4000000000000000000000000000008-8-882-40-244-22-400000000000000000000000000000
χ428-8-88-4204-2-24-42000000000000000000000000000008-8-88-4204-2-24-4200000000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4411111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11111
χ45111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11111
χ46111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1
χ47111111-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111
χ48111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1
χ49111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1
χ50111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111
χ5122222222222222222-2-2-2-20000000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000020000
χ52222222-2222222-2-2-2-2-2-2-2-2000000000000000020000-2-2-2-2-2-22-2-2-2-2-2-2222222220000000000000000-20000
χ5322-2-22202-22-2-2-2000022-2-2002-20000002-2000000000-2-222-2-20-22-22220000-2-22200-22000000-22000000000
χ5422-2-22202-22-2-2-2000022-2-200-22000000-22000000000-2-222-2-20-22-22220000-2-222002-20000002-2000000000
χ5522-2-22202-22-2-2-20000-2-2220000002i−2i0000002i−2i00000-2-222-2-20-22-2222000022-2-2000000−2i2i000000−2i2i00000
χ5622-2-22202-22-2-2-20000-2-222000000−2i2i000000−2i2i00000-2-222-2-20-22-2222000022-2-20000002i−2i0000002i−2i00000
χ572-22-2220-22-22-2-200002-22-22-20000002-200000000000-22-22-2-202-22-2220000-22-22-22000000-2200000000000
χ582-22-2220-22-22-2-200002-22-2-22000000-2200000000000-22-22-2-202-22-2220000-22-222-20000002-200000000000
χ592-22-2220-22-22-2-20000-22-2200002i−2i0000002i−2i0000000-22-22-2-202-22-22200002-22-20000−2i2i000000−2i2i0000000
χ602-22-2220-22-22-2-20000-22-220000−2i2i000000−2i2i0000000-22-22-2-202-22-22200002-22-200002i−2i0000002i−2i0000000
χ612-2-22220-2-2-2-22200002-2-22000000000000000002-200-222-2-2-202222-2-20000-222-200000000000000000-2200
χ622-2-22220-2-2-2-22200002-2-2200000000000000000-2200-222-2-2-202222-2-20000-222-2000000000000000002-200
χ632-2-22220-2-2-2-2220000-222-200000000000000000002i−2i-222-2-2-202222-2-200002-2-220000000000000000000−2i2i
χ642-2-22220-2-2-2-2220000-222-20000000000000000000−2i2i-222-2-2-202222-2-200002-2-2200000000000000000002i−2i
χ6544441-241-2-211-211-2-2000022002200-1-100-1-10000000-4-4-4-4-12-4-122-1-12-1-1220000-2-200-2-2001100110000000
χ6644441-241-2-211-211-2-20000-2-200-2-2001100110000000-4-4-4-4-12-4-122-1-12-1-122000022002200-1-100-1-10000000
χ6744441-2-41-2-211-2-1-12200002200-2-200-1-100110000000-4-4-4-4-124-122-1-1211-2-20000-2-20022001100-1-10000000
χ6844441-2-41-2-211-2-1-1220000-2-20022001100-1-10000000-4-4-4-4-124-122-1-1211-2-200002200-2-200-1-100110000000
χ694444-214-211-2-21-2-21100000022002200-1-100-1-100000-4-4-4-42-1-42-1-122-122-1-1000000-2-200-2-20011001100000
χ704444-214-211-2-21-2-211000000-2-200-2-20011001100000-4-4-4-42-1-42-1-122-122-1-100000022002200-1-100-1-100000
χ714444-21-4-211-2-2122-1-10000002200-2-200-1-1001100000-4-4-4-42-142-1-122-1-2-211000000-2-20022001100-1-100000
χ724444-21-4-211-2-2122-1-1000000-2-20022001100-1-100000-4-4-4-42-142-1-122-1-2-2110000002200-2-200-1-1001100000
χ7344-4-4-210-2-1122-1003i−3i0000002-2002i−2i00-1100−ii00000-4-4442-1021-1-2-2100−3i3i000000-2200−2i2i001-100i−i00000
χ7444-4-4-210-2-1122-1003i−3i000000-2200−2i2i001-100i−i00000-4-4442-1021-1-2-2100−3i3i0000002-2002i−2i00-1100−ii00000
χ7544-4-4-210-2-1122-100−3i3i0000002-200−2i2i00-1100i−i00000-4-4442-1021-1-2-21003i−3i000000-22002i−2i001-100−ii00000
χ7644-4-4-210-2-1122-100−3i3i000000-22002i−2i001-100−ii00000-4-4442-1021-1-2-21003i−3i0000002-200−2i2i00-1100i−i00000
χ774-44-41-20-1-221-123i−3i0000002-2002i−2i00-1100−ii0000000-44-44-12012-2-11-2−3i3i000000-2200−2i2i001-100i−i0000000
χ784-44-41-20-1-221-123i−3i000000-2200−2i2i001-100i−i0000000-44-44-12012-2-11-2−3i3i0000002-2002i−2i00-1100−ii0000000
χ794-44-41-20-1-221-12−3i3i0000002-200−2i2i00-1100i−i0000000-44-44-12012-2-11-23i−3i000000-22002i−2i001-100−ii0000000
χ804-44-41-20-1-221-12−3i3i000000-22002i−2i001-100−ii0000000-44-44-12012-2-11-23i−3i0000002-200−2i2i00-1100i−i0000000
χ8188-8-82-4024-4-2-2400000000000000000000000000000-8-888-240-2-4422-400000000000000000000000000000
χ828-88-8-42042-2-44-200000000000000000000000000000-88-884-20-4-224-4200000000000000000000000000000
χ838-8-882-40-244-22-400000000000000000000000000000-888-8-2402-4-42-2400000000000000000000000000000
χ848-8-88-4204-2-24-4200000000000000000000000000000-888-84-20-422-44-200000000000000000000000000000

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