Finite Group Databasebeta

← Group #11873539

Character table — Group #11873539

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444444448888888888888888888888889999181824242424242424243636363636364848484848484848
order12223344666666344666888812121212121212121212121212121212242424242424242424242424242424242222442244444444888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-11-11-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-11-11-1-111
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
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
χ9111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-11-1-1-111-1-111-1-11-11-1
χ10111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-11-11-1-111-1-1-1-111-11-11
χ11111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1111-1-111-1-11
χ12111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-111-1-111-1
χ13111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-11-11-1-1-1-11111-1-1-11-11
χ14111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111-11-1-1-1-1-111-1-1111-11-1
χ15111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11-111-11111-1-11-1-11-111-1
χ16111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-11-1-111111-1-1-111-11-1-11
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
χ2122222-1222-12-12-1-122-1-1-1222222-1-1-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000020200220000000-10-100-1-1
χ2222222-1222-12-12-1-122-1-1-1222222-1-1-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000-20-200-2-200000001010011
χ2322222-1222-12-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-12-12-1-1-1-1-1-2-2111111-2-2111111000000020200-2-20000000-10-10011
χ2422222-1222-12-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-12-12-1-1-1-1-1-2-2111111-2-21111110000000-20-20022000000010100-1-1
χ2522222-1222-12-12-1-1-2-2-1-1-122-2-222-1-1-1-1-1-1-21-21111122-1-1-1-1-1-1-2-2111111000000020-2002-20000000-10100-11
χ2622222-1222-12-12-1-1-2-2-1-1-122-2-222-1-1-1-1-1-1-21-21111122-1-1-1-1-1-1-2-21111110000000-20200-22000000010-1001-1
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22222-1-1-1-1-1-1-21-211111-2-211111122-1-1-1-1-1-1000000020-200-220000000-101001-1
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22222-1-1-1-1-1-1-21-211111-2-211111122-1-1-1-1-1-10000000-202002-2000000010-100-11
χ292222-1222-12-12-12-122-1-1-12222-1-122-1-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000020202200000000-10-10-1-100
χ302222-1222-12-12-12-122-1-1-12222-1-122-1-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-20-20-2-20000000010101100
χ312222-1222-12-12-12-122-1-1-1-2-2-2-2-1-122-1-1-1-1-12-12-1-1-1-111-2-2111111-2-211110000002020-2-200000000-10-101100
χ322222-1222-12-12-12-122-1-1-1-2-2-2-2-1-122-1-1-1-1-12-12-1-1-1-111-2-2111111-2-21111000000-20-2022000000001010-1-100
χ332222-1222-12-12-12-1-2-2-1-1-122-2-2-1-122-1-1-1-11-21-21111-1-122-1-1-1-111-2-2111100000020-202-200000000-1010-1100
χ342222-1222-12-12-12-1-2-2-1-1-122-2-2-1-122-1-1-1-11-21-21111-1-122-1-1-1-111-2-21111000000-2020-220000000010-101-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-222-1-122-1-1-1-11-21-2111111-2-21111-1-122-1-1-1-100000020-20-2200000000-10101-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-222-1-122-1-1-1-11-21-2111111-2-21111-1-122-1-1-1-1000000-20202-20000000010-10-1100
χ372-22-2222-2-2-222-2-22002-2-2002i−2i2-22-222-2-200000000000000002i−2i2i−2i2i2i−2i−2i22-2-22-20000000000002i−2i00000000
χ382-22-2222-2-2-222-2-22002-2-2002i−2i2-22-222-2-200000000000000002i−2i2i−2i2i2i−2i−2i-2-222-22000000000000−2i2i00000000
χ392-22-2222-2-2-222-2-22002-2-200−2i2i2-22-222-2-20000000000000000−2i2i−2i2i−2i−2i2i2i22-2-22-2000000000000−2i2i00000000
χ402-22-2222-2-2-222-2-22002-2-200−2i2i2-22-222-2-20000000000000000−2i2i−2i2i−2i−2i2i2i-2-222-220000000000002i−2i00000000
χ412-22-222-22-2-222-2-22002-2-22i−2i00-22-22-2-222000000002i−2i2i−2i2i2i−2i−2i0000000022-2-2-2200000000002i−2i0000000000
χ422-22-222-22-2-222-2-22002-2-22i−2i00-22-22-2-222000000002i−2i2i−2i2i2i−2i−2i00000000-2-2222-20000000000−2i2i0000000000
χ432-22-222-22-2-222-2-22002-2-2−2i2i00-22-22-2-22200000000−2i2i−2i2i−2i−2i2i2i0000000022-2-2-220000000000−2i2i0000000000
χ442-22-222-22-2-222-2-22002-2-2−2i2i00-22-22-2-22200000000−2i2i−2i2i−2i−2i2i2i00000000-2-2222-200000000002i−2i0000000000
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
χ5744-4-4440044-4-4-4-4400-44-40000000000000000000000000000000000004-44-4000000000000000000000000
χ5844-4-4440044-4-4-4-4400-44-4000000000000000000000000000000000000-44-44000000000000000000000000
χ594-44-44-24-4-424-2-42-200-222004i−4i4-4-22-2-22200000000000000004i−4i−2i2i−2i−2i2i2i0000000000000000000000000000
χ604-44-44-24-4-424-2-42-200-22200−4i4i4-4-22-2-2220000000000000000−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000
χ614-44-44-2-44-424-2-42-200-2224i−4i00-442-222-2-2000000004i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ624-44-44-2-44-424-2-42-200-222−4i4i00-442-222-2-200000000−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ634-44-4-244-42-4-242-4-200-222004i−4i-224-4-2-2220000000000000000−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000
χ644-44-4-244-42-4-242-4-200-22200−4i4i-224-4-2-22200000000000000002i−2i−4i4i2i2i−2i−2i0000000000000000000000000000
χ654-44-4-24-442-4-242-4-200-2224i−4i002-2-4422-2-200000000−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000
χ664-44-4-24-442-4-242-4-200-222−4i4i002-2-4422-2-2000000002i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000
χ674-44-4-2-24-422-2-2221001-1-1004i−4i-22-2211-1-100003i−3i3i−3i00003-3-33−2i2i−2i2iii−i−i0000000000000000000000000000
χ684-44-4-2-24-422-2-2221001-1-1004i−4i-22-2211-1-10000−3i3i−3i3i0000-333-3−2i2i−2i2iii−i−i0000000000000000000000000000
χ694-44-4-2-24-422-2-2221001-1-100−4i4i-22-2211-1-100003i−3i3i−3i0000-333-32i−2i2i−2i−i−iii0000000000000000000000000000
χ704-44-4-2-24-422-2-2221001-1-100−4i4i-22-2211-1-10000−3i3i−3i3i00003-3-332i−2i2i−2i−i−iii0000000000000000000000000000
χ714-44-4-2-2-4422-2-2221001-1-14i−4i002-22-2-1-11100003i−3i−3i3i−2i2i−2i2iii−i−i0000-333-30000000000000000000000000000
χ724-44-4-2-2-4422-2-2221001-1-14i−4i002-22-2-1-1110000−3i3i3i−3i−2i2i−2i2iii−i−i00003-3-330000000000000000000000000000
χ734-44-4-2-2-4422-2-2221001-1-1−4i4i002-22-2-1-11100003i−3i−3i3i2i−2i2i−2i−i−iii00003-3-330000000000000000000000000000
χ744-44-4-2-2-4422-2-2221001-1-1−4i4i002-22-2-1-1110000−3i3i3i−3i2i−2i2i−2i−i−iii0000-333-30000000000000000000000000000
χ754-4-444400-4-4-4-444400-4-440000000000000000000000000000000000004-4-44000000000000000000000000
χ764-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000-444-4000000000000000000000000
χ7788-8-88-4008-4-84-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-484-84-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-44444200-22-2000000006i−6i6i−6i0000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-44444200-22-200000000−6i6i−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).