Finite Group Databasebeta

← Group #11808321

Character table — Group #11808321

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order12223346666661212121222222244444466121212121212444442222664666666121212122222224444446612121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1
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
χ5111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1
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
χ8111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1
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
χ1122-2-22202-2-2-22-200002-22-200000000000000000002i−2i22-2-22202-2-2-22-200002-22-200000000000000000002i−2i
χ1222-2-22202-2-2-22-200002-22-20000000000000000000−2i2i22-2-22202-2-2-22-200002-22-20000000000000000000−2i2i
χ1322-2-22202-2-2-22-20000-22-22000000000000000002i−2i0022-2-22202-2-2-22-20000-22-22000000000000000002i−2i00
χ1422-2-22202-2-2-22-20000-22-2200000000000000000−2i2i0022-2-22202-2-2-22-20000-22-2200000000000000000−2i2i00
χ152-22-2220-2-222-2-200002-2-2200002i−2i0000002i−2i00000002-22-2220-2-222-2-200002-2-2200002i−2i0000002i−2i0000000
χ162-22-2220-2-222-2-200002-2-220000−2i2i000000−2i2i00000002-22-2220-2-222-2-200002-2-220000−2i2i000000−2i2i0000000
χ172-22-2220-2-222-2-20000-222-20000002i−2i0000002i−2i000002-22-2220-2-222-2-20000-222-20000002i−2i0000002i−2i00000
χ182-22-2220-2-222-2-20000-222-2000000−2i2i000000−2i2i000002-22-2220-2-222-2-20000-222-2000000−2i2i000000−2i2i00000
χ192-2-22220-22-2-2-22000022-2-2002i−2i0000002i−2i0000000002-2-22220-22-2-2-22000022-2-2002i−2i0000002i−2i000000000
χ202-2-22220-22-2-2-22000022-2-200−2i2i000000−2i2i0000000002-2-22220-22-2-2-22000022-2-200−2i2i000000−2i2i000000000
χ212-2-22220-22-2-2-220000-2-2222-20000002-2000000000002-2-22220-22-2-2-220000-2-2222-20000002-200000000000
χ222-2-22220-22-2-2-220000-2-222-22000000-22000000000002-2-22220-22-2-2-220000-2-222-22000000-2200000000000
χ2344441-241-21-2-2111-2-20000000022220000-1-1-1-10000044441-241-21-2-2111-2-20000000022220000-1-1-1-100000
χ2444441-241-21-2-2111-2-200000000-2-2-2-2000011110000044441-241-21-2-2111-2-200000000-2-2-2-20000111100000
χ2544441-2-41-21-2-21-1-1220000000022-2-20000-1-1110000044441-2-41-21-2-21-1-1220000000022-2-20000-1-11100000
χ2644441-2-41-21-2-21-1-12200000000-2-222000011-1-10000044441-2-41-21-2-21-1-12200000000-2-222000011-1-100000
χ274444-214-21-211-2-2-211000022220000-1-1-1-10000000004444-214-21-211-2-2-211000022220000-1-1-1-1000000000
χ284444-214-21-211-2-2-2110000-2-2-2-2000011110000000004444-214-21-211-2-2-2110000-2-2-2-200001111000000000
χ294444-21-4-21-211-222-1-1000022-2-20000-1-1110000000004444-21-4-21-211-222-1-1000022-2-20000-1-111000000000
χ304444-21-4-21-211-222-1-10000-2-222000011-1-10000000004444-21-4-21-211-222-1-10000-2-222000011-1-1000000000
χ314-44-41-20-121-22-13-300000000002i−2i2i−2i0000−ii−ii000004-44-41-20-121-22-13-300000000002i−2i2i−2i0000−ii−ii00000
χ324-44-41-20-121-22-13-30000000000−2i2i−2i2i0000i−ii−i000004-44-41-20-121-22-13-30000000000−2i2i−2i2i0000i−ii−i00000
χ334-44-41-20-121-22-1-3300000000002i−2i−2i2i0000−iii−i000004-44-41-20-121-22-1-3300000000002i−2i−2i2i0000−iii−i00000
χ344-44-41-20-121-22-1-330000000000−2i2i2i−2i0000i−i−ii000004-44-41-20-121-22-1-330000000000−2i2i2i−2i0000i−i−ii00000
χ354-4-44-210212-1-1-2003i−3i00002-22i−2i0000-11−ii0000000004-4-44-210212-1-1-2003i−3i00002-22i−2i0000-11−ii000000000
χ364-4-44-210212-1-1-2003i−3i0000-22−2i2i00001-1i−i0000000004-4-44-210212-1-1-2003i−3i0000-22−2i2i00001-1i−i000000000
χ374-4-44-210212-1-1-200−3i3i00002-2−2i2i0000-11i−i0000000004-4-44-210212-1-1-200−3i3i00002-2−2i2i0000-11i−i000000000
χ384-4-44-210212-1-1-200−3i3i0000-222i−2i00001-1−ii0000000004-4-44-210212-1-1-200−3i3i0000-222i−2i00001-1−ii000000000
χ3988-8-82-4024-24-4-20000000000000000000000000000088-8-82-4024-24-4-200000000000000000000000000000
χ4088-8-8-420-4-24-2240000000000000000000000000000088-8-8-420-4-24-22400000000000000000000000000000
χ418-88-8-4204-2-42-24000000000000000000000000000008-88-8-4204-2-42-2400000000000000000000000000000
χ428-8-882-40-2-4-2442000000000000000000000000000008-8-882-40-2-4-244200000000000000000000000000000
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
χ441111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11111
χ45111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111
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
χ47111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111-1-111
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
χ50111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1-111
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
χ5322-2-22202-2-2-22-200002-22-200000000000000000002i−2i-2-222-2-20-2222-220000-22-220000000000000000000−2i2i
χ5422-2-22202-2-2-22-200002-22-20000000000000000000−2i2i-2-222-2-20-2222-220000-22-2200000000000000000002i−2i
χ5522-2-22202-2-2-22-20000-22-22000000000000000002i−2i00-2-222-2-20-2222-2200002-22-200000000000000000−2i2i00
χ5622-2-22202-2-2-22-20000-22-2200000000000000000−2i2i00-2-222-2-20-2222-2200002-22-2000000000000000002i−2i00
χ572-22-2220-2-222-2-200002-2-2200002i−2i0000002i−2i0000000-22-22-2-2022-2-2220000-222-20000−2i2i000000−2i2i0000000
χ582-22-2220-2-222-2-200002-2-220000−2i2i000000−2i2i0000000-22-22-2-2022-2-2220000-222-200002i−2i0000002i−2i0000000
χ592-22-2220-2-222-2-20000-222-20000002i−2i0000002i−2i00000-22-22-2-2022-2-22200002-2-22000000−2i2i000000−2i2i00000
χ602-22-2220-2-222-2-20000-222-2000000−2i2i000000−2i2i00000-22-22-2-2022-2-22200002-2-220000002i−2i0000002i−2i00000
χ612-2-22220-22-2-2-22000022-2-2002i−2i0000002i−2i000000000-222-2-2-202-2222-20000-2-22200−2i2i000000−2i2i000000000
χ622-2-22220-22-2-2-22000022-2-200−2i2i000000−2i2i000000000-222-2-2-202-2222-20000-2-222002i−2i0000002i−2i000000000
χ632-2-22220-22-2-2-220000-2-2222-20000002-200000000000-222-2-2-202-2222-2000022-2-2-22000000-2200000000000
χ642-2-22220-22-2-2-220000-2-222-22000000-2200000000000-222-2-2-202-2222-2000022-2-22-20000002-200000000000
χ6544441-241-21-2-2111-2-20000000022220000-1-1-1-100000-4-4-4-4-12-4-12-122-1-1-12200000000-2-2-2-20000111100000
χ6644441-241-21-2-2111-2-200000000-2-2-2-20000111100000-4-4-4-4-12-4-12-122-1-1-1220000000022220000-1-1-1-100000
χ6744441-2-41-21-2-21-1-1220000000022-2-20000-1-11100000-4-4-4-4-124-12-122-111-2-200000000-2-222000011-1-100000
χ6844441-2-41-21-2-21-1-12200000000-2-222000011-1-100000-4-4-4-4-124-12-122-111-2-20000000022-2-20000-1-11100000
χ694444-214-21-211-2-2-211000022220000-1-1-1-1000000000-4-4-4-42-1-42-12-1-1222-1-10000-2-2-2-200001111000000000
χ704444-214-21-211-2-2-2110000-2-2-2-200001111000000000-4-4-4-42-1-42-12-1-1222-1-1000022220000-1-1-1-1000000000
χ714444-21-4-21-211-222-1-1000022-2-20000-1-111000000000-4-4-4-42-142-12-1-12-2-2110000-2-222000011-1-1000000000
χ724444-21-4-21-211-222-1-10000-2-222000011-1-1000000000-4-4-4-42-142-12-1-12-2-211000022-2-20000-1-111000000000
χ734-44-41-20-121-22-13-300000000002i−2i2i−2i0000−ii−ii00000-44-44-1201-2-12-21-330000000000−2i2i−2i2i0000i−ii−i00000
χ744-44-41-20-121-22-13-30000000000−2i2i−2i2i0000i−ii−i00000-44-44-1201-2-12-21-3300000000002i−2i2i−2i0000−ii−ii00000
χ754-44-41-20-121-22-1-3300000000002i−2i−2i2i0000−iii−i00000-44-44-1201-2-12-213-30000000000−2i2i2i−2i0000i−i−ii00000
χ764-44-41-20-121-22-1-330000000000−2i2i2i−2i0000i−i−ii00000-44-44-1201-2-12-213-300000000002i−2i−2i2i0000−iii−i00000
χ774-4-44-210212-1-1-2003i−3i00002-22i−2i0000-11−ii000000000-444-42-10-2-1-211200−3i3i0000-22−2i2i00001-1i−i000000000
χ784-4-44-210212-1-1-2003i−3i0000-22−2i2i00001-1i−i000000000-444-42-10-2-1-211200−3i3i00002-22i−2i0000-11−ii000000000
χ794-4-44-210212-1-1-200−3i3i00002-2−2i2i0000-11i−i000000000-444-42-10-2-1-2112003i−3i0000-222i−2i00001-1−ii000000000
χ804-4-44-210212-1-1-200−3i3i0000-222i−2i00001-1−ii000000000-444-42-10-2-1-2112003i−3i00002-2−2i2i0000-11i−i000000000
χ8188-8-82-4024-24-4-200000000000000000000000000000-8-888-240-2-42-44200000000000000000000000000000
χ8288-8-8-420-4-24-22400000000000000000000000000000-8-8884-2042-42-2-400000000000000000000000000000
χ838-88-8-4204-2-42-2400000000000000000000000000000-88-884-20-424-22-400000000000000000000000000000
χ848-8-882-40-2-4-244200000000000000000000000000000-888-8-240242-4-4-200000000000000000000000000000

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