Finite Group Databasebeta

← Group #11866912

Character table — Group #11866912

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444444448888888888888888888888889999181824242424242424243636363636364848484848484848
order1222334466666623466688881212121212121212666612121212242424242424242424242424242424242222442244444424888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-11-11-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-111-11-1-1-1-1-1-1-11-11-1-111
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-111-1-11-11-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-111111-1-1-1-1-1-111-11-11
χ711111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-1-111111-1-111-1-11
χ811111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-11111-111-1-111-1
χ911111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11-1-1-1-111-1-111-1-1-11-11
χ1011111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-11-111-1-111-1-1-1-1111-11-1
χ1111111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1111-1-11-111-1
χ1211111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-111-11-1-11
χ1311111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ1411111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111
χ1511111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1111-11111-1-11-11-1-1-111
χ1611111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-111111-1-1-11-1111-1-1
χ17222222-2-222222222-22220000-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2000000002-2000000000000
χ18222222-2-222222222-22220000-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22200000000-22000000000000
χ19222222-2-2222222-2222220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-200000000-22000000000000
χ20222222-2-2222222-2222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-222000000002-2000000000000
χ2122222-1222-12-12-12-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000020022020000000-10-100-1-1
χ2222222-1222-12-12-12-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000-200-2-20-200000001010011
χ2322222-1222-12-12-12-12-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000002002-20-20000000-10100-11
χ2422222-1222-12-12-12-12-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000-200-2202000000010-1001-1
χ2522222-1222-12-12-1-2-1-2-1-1-122-2-22-1-1-12-1-1-1-2111-211122-1-1-1-1-1-1-2-21111110000000200-220-20000000-101001-1
χ2622222-1222-12-12-1-2-1-2-1-1-122-2-22-1-1-12-1-1-1-2111-211122-1-1-1-1-1-1-2-21111110000000-2002-202000000010-100-11
χ2722222-1222-12-12-1-2-1-2-1-1-1-2-2222-1-1-12-1-1-1-2111-2111-2-211111122-1-1-1-1-1-10000000200-2-2020000000-10-10011
χ2822222-1222-12-12-1-2-1-2-1-1-1-2-2222-1-1-12-1-1-1-2111-2111-2-211111122-1-1-1-1-1-10000000-200220-2000000010100-1-1
χ292222-1222-12-12-122-12-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000020220020000000-10-10-1-100
χ302222-1222-12-12-122-12-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-20-2-200-2000000010101100
χ312222-1222-12-12-122-12-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000202-200-20000000-1010-1100
χ322222-1222-12-12-122-12-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000-20-22002000000010-101-100
χ332222-1222-12-12-12-2-1-2-1-1-122-2-2-12-1-1-12-1-11-2111-211-1-122-1-1-1-111-2-2111100000020-2200-20000000-10101-100
χ342222-1222-12-12-12-2-1-2-1-1-122-2-2-12-1-1-12-1-11-2111-211-1-122-1-1-1-111-2-21111000000-202-2002000000010-10-1100
χ352222-1222-12-12-12-2-1-2-1-1-1-2-222-12-1-1-12-1-11-2111-21111-2-21111-1-122-1-1-1-100000020-2-20020000000-10-101100
χ362222-1222-12-12-12-2-1-2-1-1-1-2-222-12-1-1-12-1-11-2111-21111-2-21111-1-122-1-1-1-1000000-202200-200000001010-1-100
χ372-2-22222-2-2-222-2-2020-2-222i−2i002222-2-2-2-2000000002i−2i2i−2i2i2i−2i−2i0000000022-2-22-200000000002i−2i0000000000
χ382-2-22222-2-2-222-2-2020-2-222i−2i002222-2-2-2-2000000002i−2i2i−2i2i2i−2i−2i00000000-2-222-220000000000−2i2i0000000000
χ392-2-22222-2-2-222-2-2020-2-22−2i2i002222-2-2-2-200000000−2i2i−2i2i−2i−2i2i2i0000000022-2-22-20000000000−2i2i0000000000
χ402-2-22222-2-2-222-2-2020-2-22−2i2i002222-2-2-2-200000000−2i2i−2i2i−2i−2i2i2i00000000-2-222-2200000000002i−2i0000000000
χ412-2-2222-22-2-222-2-2020-2-22002-2-2-2-2-2222200000000000000002-22-222-2-222-2-2-220000000000002-200000000
χ422-2-2222-22-2-222-2-2020-2-22002-2-2-2-2-2222200000000000000002-22-222-2-2-2-2222-2000000000000-2200000000
χ432-2-2222-22-2-222-2-2020-2-2200-22-2-2-2-222220000000000000000-22-22-2-22222-2-2-22000000000000-2200000000
χ442-2-2222-22-2-222-2-2020-2-2200-22-2-2-2-222220000000000000000-22-22-2-222-2-2222-20000000000002-200000000
χ4544444-2-4-44-24-24-24-2-4-2-2-20000-4222-42224-2-2-2-422200000000000000000000000000000000000000000000
χ4644444-2-4-44-24-24-2-4-24-2-2-20000-4222-4222-42224-2-2-200000000000000000000000000000000000000000000
χ474444-24-4-4-24-24-244-2-4-2-2-200002-4222-422-24-2-22-42200000000000000000000000000000000000000000000
χ484444-24-4-4-24-24-24-4-24-2-2-200002-4222-4222-422-24-2-200000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24141114444-2-211-2-211-2-211-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2414111-4-4-4-4-2-211-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-41-411144-4-4-2-211-2-21122-1-122-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-4111-4-444-2-211-2-21122-1-122-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-241-4111000022-1-122-1-1-2-21122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-241-4111000022-1-122-1-1-2-21122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-414111000022-1-122-1-122-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-414111000022-1-122-1-122-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000
χ5744-4-4440044-4-4-4-40404-4-40000000000000000000000000000000000004-44-4000000000000000000000000
χ5844-4-4440044-4-4-4-40404-4-4000000000000000000000000000000000000-44-44000000000000000000000000
χ594-44-44400-4-4-4-444040-44-40000000000000000000000000000000000004-4-44000000000000000000000000
χ604-44-44400-4-4-4-444040-44-4000000000000000000000000000000000000-444-4000000000000000000000000
χ614-4-444-24-4-424-2-420-2022-24i−4i004-2-2-2-4222000000004i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ624-4-444-24-4-424-2-420-2022-2−4i4i004-2-2-2-422200000000−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ634-4-444-2-44-424-2-420-2022-2004-4-42224-2-2-200000000000000004-4-22-2-2220000000000000000000000000000
χ644-4-444-2-44-424-2-420-2022-200-44-42224-2-2-20000000000000000-442-222-2-20000000000000000000000000000
χ654-4-44-244-42-4-242-40-2022-24i−4i00-24-2-22-42200000000−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000
χ664-4-44-244-42-4-242-40-2022-2−4i4i00-24-2-22-422000000002i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000
χ674-4-44-24-442-4-242-40-2022-2004-42-422-24-2-20000000000000000-224-4-2-2220000000000000000000000000000
χ684-4-44-24-442-4-242-40-2022-200-442-422-24-2-200000000000000002-2-4422-2-20000000000000000000000000000
χ694-4-44-2-24-422-2-222010-1-114i−4i00-2-21122-1-1003-3003-3−2i2i−2i2iii−i−i00003i−3i−3i3i0000000000000000000000000000
χ704-4-44-2-24-422-2-222010-1-114i−4i00-2-21122-1-100-3300-33−2i2i−2i2iii−i−i0000−3i3i3i−3i0000000000000000000000000000
χ714-4-44-2-24-422-2-222010-1-11−4i4i00-2-21122-1-1003-3003-32i−2i2i−2i−i−iii0000−3i3i3i−3i0000000000000000000000000000
χ724-4-44-2-24-422-2-222010-1-11−4i4i00-2-21122-1-100-3300-332i−2i2i−2i−i−iii00003i−3i−3i3i0000000000000000000000000000
χ734-4-44-2-2-4422-2-222010-1-11004-422-1-1-2-211003-300-3300003-3-33-22-2211-1-10000000000000000000000000000
χ744-4-44-2-2-4422-2-222010-1-11004-422-1-1-2-21100-33003-30000-333-3-22-2211-1-10000000000000000000000000000
χ754-4-44-2-2-4422-2-222010-1-1100-4422-1-1-2-211003-300-330000-333-32-22-2-1-1110000000000000000000000000000
χ764-4-44-2-2-4422-2-222010-1-1100-4422-1-1-2-21100-33003-300003-3-332-22-2-1-1110000000000000000000000000000
χ7788-8-88-4008-4-84-840-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-484-84-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444440202-2-20000006i−6i006i−6i0000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-444440202-2-2000000−6i6i00−6i6i0000000000000000000000000000000000000000000000000000
χ818-88-88-400-84-848-40-404-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-48004-84-8-480-404-440000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004444-4-4020-22-20000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004444-4-4020-22-2000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000

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