Finite Group Databasebeta

← Group #11875033

Character table — Group #11875033

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444444448888888888888888888888889999181824242424242424243636363636364848484848484848
order1222334466666634466688881212121212121212121212121212121224242424242424242424242424242424222244444444444488881212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-11-1111-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-11-1-1-1111
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-1111-1-11-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-11111-1-1-1-1-1-1-111-111
χ711111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111111-11-1-1-111
χ811111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-11-1111-1-1
χ9111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11-1-1-111-1-111-11-1-11-1
χ10111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-111-11-1-111-1-1-1-11-111-11
χ11111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1111-1-1111-1-11-11-11
χ12111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-1-111-111-11-11-1
χ13111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-11-1-1-1-11111-1-11-1-11
χ14111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-111-1-1-1-1-111-1-111-111-1
χ15111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1111-11111-1-11-1-1-1111-1
χ16111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-111111-1-1-1111-1-1-11
χ17222222-2-222222222-22220000-2-2-2-2-2-2-2-222-2-222-2-200000000000000002222-2-2000000002-2000000000000
χ18222222-2-222222222-22220000-2-2-2-2-2-2-2-222-2-222-2-20000000000000000-2-2-2-22200000000-22000000000000
χ19222222-2-22222222-222220000-2-2-2-2-2-2-2-2-2-222-2-22200000000000000002222-2-200000000-22000000000000
χ20222222-2-22222222-222220000-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-222000000002-2000000000000
χ2122222-1222-12-12-1-122-1-1-1222222-1-1-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000020002220000000-1000-1-1-1
χ2222222-1222-12-12-1-122-1-1-1222222-1-1-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000-2000-2-2-200000001000111
χ2322222-1222-12-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-12-12-1-1-1-1-1-2-2111111-2-2111111000000020002-2-20000000-1000-111
χ2422222-1222-12-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-12-12-1-1-1-1-1-2-2111111-2-21111110000000-2000-222000000010001-1-1
χ2522222-1222-12-12-1-1-2-2-1-1-122-2-222-1-1-1-1-1-1-21-21111122-1-1-1-1-1-1-2-211111100000002000-22-20000000-10001-11
χ2622222-1222-12-12-1-1-2-2-1-1-122-2-222-1-1-1-1-1-1-21-21111122-1-1-1-1-1-1-2-21111110000000-20002-2200000001000-11-1
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22222-1-1-1-1-1-1-21-211111-2-211111122-1-1-1-1-1-100000002000-2-220000000-100011-1
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22222-1-1-1-1-1-1-21-211111-2-211111122-1-1-1-1-1-10000000-200022-200000001000-1-11
χ292222-1222-12-12-12-122-1-1-12222-1-122-1-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000020222000000000-10-1-1-1000
χ302222-1222-12-12-12-122-1-1-12222-1-122-1-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-20-2-2-200000000010111000
χ312222-1222-12-12-12-122-1-1-1-2-2-2-2-1-122-1-1-1-1-12-12-1-1-1-111-2-2111111-2-21111000000202-2-2000000000-10-111000
χ322222-1222-12-12-12-122-1-1-1-2-2-2-2-1-122-1-1-1-1-12-12-1-1-1-111-2-2111111-2-21111000000-20-222000000000101-1-1000
χ332222-1222-12-12-12-1-2-2-1-1-122-2-2-1-122-1-1-1-11-21-21111-1-122-1-1-1-111-2-2111100000020-22-2000000000-101-11000
χ342222-1222-12-12-12-1-2-2-1-1-122-2-2-1-122-1-1-1-11-21-21111-1-122-1-1-1-111-2-21111000000-202-2200000000010-11-1000
χ352222-1222-12-12-12-1-2-2-1-1-1-2-222-1-122-1-1-1-11-21-2111111-2-21111-1-122-1-1-1-100000020-2-22000000000-1011-1000
χ362222-1222-12-12-12-1-2-2-1-1-1-2-222-1-122-1-1-1-11-21-2111111-2-21111-1-122-1-1-1-1000000-2022-200000000010-1-11000
χ3722-2-2222-222-2-2-2-22002-2-2002-22-22-222-2-200000000000000002-22-222-2-222-2-22-20000000000002-200000000
χ3822-2-2222-222-2-2-2-22002-2-2002-22-22-222-2-200000000000000002-22-222-2-2-2-222-22000000000000-2200000000
χ3922-2-2222-222-2-2-2-22002-2-200-222-22-222-2-20000000000000000-22-22-2-22222-2-22-2000000000000-2200000000
χ4022-2-2222-222-2-2-2-22002-2-200-222-22-222-2-20000000000000000-22-22-2-222-2-222-220000000000002-200000000
χ4122-2-222-2222-2-2-2-22002-2-22-200-22-22-2-222000000002-22-222-2-20000000022-2-2-2200000000002-20000000000
χ4222-2-222-2222-2-2-2-22002-2-22-200-22-22-2-222000000002-22-222-2-200000000-2-2222-20000000000-220000000000
χ4322-2-222-2222-2-2-2-22002-2-2-2200-22-22-2-22200000000-22-22-2-2220000000022-2-2-220000000000-220000000000
χ4422-2-222-2222-2-2-2-22002-2-2-2200-22-22-2-22200000000-22-22-2-22200000000-2-2222-200000000002-20000000000
χ4544444-2-4-44-24-24-2-24-4-2-2-20000-4-42222224-2-42-2-22200000000000000000000000000000000000000000000
χ4644444-2-4-44-24-24-2-2-44-2-2-20000-4-4222222-424-222-2-200000000000000000000000000000000000000000000
χ474444-24-4-4-24-24-24-24-4-2-2-2000022-4-42222-242-4-2-22200000000000000000000000000000000000000000000
χ484444-24-4-4-24-24-24-2-44-2-2-2000022-4-422222-4-2422-2-200000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-21441114444-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-4-4-2-2-2-21111-2-2-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-4-4-2-2-2-211112222-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-444-2-2-2-211112222-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-411100002222-1-1-1-1-2-22211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-411100002222-1-1-1-1-2-22211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-4411100002222-1-1-1-122-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-4411100002222-1-1-1-122-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000
χ5744-4-44-24-44-2-42-42-200-222004-44-4-22-2-22200000000000000004-4-22-2-2220000000000000000000000000000
χ5844-4-44-24-44-2-42-42-200-22200-444-4-22-2-2220000000000000000-442-222-2-20000000000000000000000000000
χ5944-4-44-2-444-2-42-42-200-2224-400-442-222-2-2000000004-4-22-2-222000000000000000000000000000000000000
χ6044-4-44-2-444-2-42-42-200-222-4400-442-222-2-200000000-442-222-2-2000000000000000000000000000000000000
χ6144-4-4-244-4-242-42-4-200-222004-4-224-4-2-2220000000000000000-224-4-2-2220000000000000000000000000000
χ6244-4-4-244-4-242-42-4-200-22200-44-224-4-2-22200000000000000002-2-4422-2-20000000000000000000000000000
χ6344-4-4-24-44-242-42-4-200-2224-4002-2-4422-2-200000000-224-4-2-222000000000000000000000000000000000000
χ6444-4-4-24-44-242-42-4-200-222-44002-2-4422-2-2000000002-2-4422-2-2000000000000000000000000000000000000
χ6544-4-4-2-24-4-2-222221001-1-1004-4-22-2211-1-100003i−3i3i−3i00003i−3i−3i3i-22-2211-1-10000000000000000000000000000
χ6644-4-4-2-24-4-2-222221001-1-1004-4-22-2211-1-10000−3i3i−3i3i0000−3i3i3i−3i-22-2211-1-10000000000000000000000000000
χ6744-4-4-2-24-4-2-222221001-1-100-44-22-2211-1-100003i−3i3i−3i0000−3i3i3i−3i2-22-2-1-1110000000000000000000000000000
χ6844-4-4-2-24-4-2-222221001-1-100-44-22-2211-1-10000−3i3i−3i3i00003i−3i−3i3i2-22-2-1-1110000000000000000000000000000
χ6944-4-4-2-2-44-2-222221001-1-14-4002-22-2-1-11100003i−3i−3i3i-22-2211-1-10000−3i3i3i−3i0000000000000000000000000000
χ7044-4-4-2-2-44-2-222221001-1-14-4002-22-2-1-1110000−3i3i3i−3i-22-2211-1-100003i−3i−3i3i0000000000000000000000000000
χ7144-4-4-2-2-44-2-222221001-1-1-44002-22-2-1-11100003i−3i−3i3i2-22-2-1-11100003i−3i−3i3i0000000000000000000000000000
χ7244-4-4-2-2-44-2-222221001-1-1-44002-22-2-1-1110000−3i3i3i−3i2-22-2-1-1110000−3i3i3i−3i0000000000000000000000000000
χ734-44-44400-4-444-4-4400-44-40000000000000000000000000000000000004-44-4000000000000000000000000
χ744-44-44400-4-444-4-4400-44-4000000000000000000000000000000000000-44-44000000000000000000000000
χ754-4-444400-4-4-4-444400-4-440000000000000000000000000000000000004-4-44000000000000000000000000
χ764-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000-444-4000000000000000000000000
χ778-88-88-400-848-4-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-48004-8-484-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-4-444200-22-2000000006i−6i6i−6i0000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-4-444200-22-200000000−6i6i−6i6i0000000000000000000000000000000000000000000000000000
χ818-8-888-400-84-848-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-84-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-2-22000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-2-2200000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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