Finite Group Databasebeta

← Group #11872967

Character table — Group #11872967

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666663446668812121212412121212121224242424242424242224444412121212121212121212444424666881212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-1-1-111111111-1-1-1-11-1111-11-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-1-11-111111-1-1111111-1-1-1-1-11-1-1-11-1111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-111-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1111111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-11-1-1-1-11111-1-11-11
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-11111-1-111-1-1-111
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-11111-11-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-111-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11-1-1-111-1-111-1-11111111-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-2000000000022-2-20022-2-2000000-2-2220000200-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2-2200-2-2-2-200000022-2-2000020020000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-222-200222200000022-2-20000-200-20000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-2-22200-2-222000000-2-2220000-20020000000000000
χ2122222-122-1-122-12-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-12220200000-1-1-12-1-1-1-1000020-1-1-102000-1-1000000-100
χ2222222-122-1-122-12-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-2-2-20-20000011-12-1-1-1-10000-201110-200011000000100
χ2322222-122-1-122-12-122-1-1-1-2-22-1-12-222-1-1-1-111-2-211112220200000-1-11-211-1-10000-20-1-1-10-200011000000100
χ2422222-122-1-122-12-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-2-2-20-200000111-211-1-100002011102000-1-1000000-100
χ2522222-122-1-122-12-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-122-20-200000111-21111000020-1-110-200011000000-100
χ2622222-122-1-122-12-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-2-220200000-1-11-211110000-2011-102000-1-1000000100
χ2722222-122-1-122-12-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-2111122-20-20000011-12-1-1110000-20-1-1102000-1-1000000100
χ2822222-122-1-122-12-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111-2-220200000-1-1-12-1-11100002011-10-200011000000-100
χ292222-122222-1-12-1-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-100020222-1-1002-1-1-1-1-100000200020-1-1-100-1-100000-10
χ302222-122222-1-12-1-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-1000-20-2-2-211002-1-1-1-1-100000-2000-2011100110000010
χ312222-122222-1-12-1-122-1-1-1-2-2-122-1-2-1-122-1-1-2-211111100020222-1-100-2111-1-100000-2000-20-1-1-100110000010
χ322222-122222-1-12-1-122-1-1-1-2-2-122-1-2-1-122-1-1-2-2111111000-20-2-2-21100-2111-1-10000020002011100-1-100000-10
χ332222-122222-1-12-1-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1000202-2-2-1-100-21111100000-200020-11100-1-10000010
χ342222-122222-1-12-1-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1000-20-2221100-211111000002000-201-1-1001100000-10
χ352222-122222-1-12-1-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111000202-2-2-1-1002-1-1-111000002000-20-111001100000-10
χ362222-122222-1-12-1-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111000-20-22211002-1-1-11100000-2000201-1-100-1-10000010
χ372-22-2222-2-2-22-22-2200-2-2200-22-2200000-22000000002-200002i−2i00000000002i−2i2i−2i002-200002i−2i00000000000
χ382-22-2222-2-2-22-22-2200-2-2200-22-2200000-22000000002-20000−2i2i0000000000−2i2i−2i2i002-20000−2i2i00000000000
χ392-22-2222-2-2-22-22-2200-2-2200-22-2200000-2200000000-2200002i−2i0000000000−2i2i−2i2i00-2200002i−2i00000000000
χ402-22-2222-2-2-22-22-2200-2-2200-22-2200000-2200000000-220000−2i2i00000000002i−2i2i−2i00-220000−2i2i00000000000
χ412-22-222-22-2-22-22-222-2-2-22002-22-202-22-22-20000000000000000000000002-22i−2i−2i2i000000000000002i−2i00000
χ422-22-222-22-2-22-22-222-2-2-22002-22-202-22-22-20000000000000000000000002-2−2i2i2i−2i00000000000000−2i2i00000
χ432-22-222-22-2-22-22-22-22-2-22002-22-20-22-222-2000000000000000000000000-222i−2i−2i2i00000000000000−2i2i00000
χ442-22-222-22-2-22-22-22-22-2-22002-22-20-22-222-2000000000000000000000000-22−2i2i2i−2i000000000000002i−2i00000
χ4544444-2-4-4-2-244-24-200-2-2-200-422-40000022000000000040-4000002200000000000000-20000000000000000
χ4644444-2-4-4-2-244-24-200-2-2-200-422-400000220000000000-40400000-2-20000000000000020000000000000000
χ474444-24-4-444-2-24-2-200-2-2-2002-4-4200000220000000000040-400-2-2000000000000000000020000000000000
χ484444-24-4-444-2-24-2-200-2-2-2002-4-42000002200000000000-40400220000000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-100000000000022-1-1110000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-211-1-10000000000000000000000000
χ5344-4-444004-4-44-4-44004-4-422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000000
χ5444-4-444004-4-44-4-44004-4-4−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000000
χ5544-4-44-200-22-442-4-200-22222−2200000000000−2222−22−2−222000000000023−23000000000000000000006−6000000000
χ5644-4-44-200-22-442-4-200-22222−2200000000000−2222−22−2−2220000000000−232300000000000000000000−66000000000
χ5744-4-44-200-22-442-4-200-222−2222000000000002−2−222222−2−2000000000023−2300000000000000000000−66000000000
χ5844-4-44-200-22-442-4-200-222−2222000000000002−2−222222−2−20000000000−2323000000000000000000006−6000000000
χ5944-4-4-24004-42-2-42-200-22222−220000000000022−22−22−2−22200000000−2i32i3000000000000000000000000i6−i60000000
χ6044-4-4-24004-42-2-42-200-22222−220000000000022−22−22−2−222000000002i3−2i3000000000000000000000000−i6i60000000
χ6144-4-4-24004-42-2-42-200-222−222200000000000−22222−222−2−200000000−2i32i3000000000000000000000000−i6i60000000
χ6244-4-4-24004-42-2-42-200-222−222200000000000−22222−222−2−2000000002i3−2i3000000000000000000000000i6−i60000000
χ634-44-44-24-4224-4-2-4-20022-200-4-224000002-2000000004-40000000000000000000000-2200000000000000000
χ644-44-44-24-4224-4-2-4-20022-200-4-224000002-200000000-4400000000000000000000002-200000000000000000
χ654-44-44-2-44224-4-2-4-24-422-20042-2-404-4-22-22000000000000000000000000-220000000000000000000000000
χ664-44-44-2-44224-4-2-4-2-4422-20042-2-40-442-2-220000000000000000000000002-20000000000000000000000000
χ674-44-4-244-4-4-4-2242-20022-20024-4-2000002-2000000000000004i−4i0000000000000000000000−2i2i00000000000
χ684-44-4-244-4-4-4-2242-20022-20024-4-2000002-200000000000000−4i4i00000000000000000000002i−2i00000000000
χ694-44-4-24-44-4-4-2242-24-422-200-2-4420-224-4-22000000000000000000000000-220000000000000000000000000
χ704-44-4-24-44-4-4-2242-2-4422-200-2-44202-2-44-220000000000000000000000002-20000000000000000000000000
χ714-44-4-2-2-4422-22-2214-4-1-1100-22-220-22-221-100003i−3i3i−3i000000000000003i−3i1-10000000000000000000000000
χ724-44-4-2-2-4422-22-2214-4-1-1100-22-220-22-221-10000−3i3i−3i3i00000000000000−3i3i1-10000000000000000000000000
χ734-44-4-2-2-4422-22-221-44-1-1100-22-2202-22-21-100003i−3i3i−3i00000000000000−3i3i-110000000000000000000000000
χ744-44-4-2-2-4422-22-221-44-1-1100-22-2202-22-21-10000−3i3i−3i3i000000000000003i−3i-110000000000000000000000000
χ754-4-444400-44-4-4-44400-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ764-4-444400-44-4-4-44400-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-4442002-2-242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-2−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ808-88-8-4-48-844-44-44200-2-22004-44-400000-22000000000000000000000000000000000000000000000000000
χ818-8-888-4004-4-8-848-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-8844-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-4444-4200-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ848-8-88-4-4004-4444-4200-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000

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