Finite Group Databasebeta

← Group #11872381

Character table — Group #11872381

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order12223344666666344666881212121241212121212122424242424242424222444446612121212121212124444246688121212122424242444886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-11-1-1-1-111111111-1-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-1-11-11-11111-1-1111111-1-1-1-11-1-1-1-111-11111-1-1-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-1-1-11-111-11-11-1-111-1-1-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-11-1-11-11-111-1-111-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-11111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-111-1-111-1-1-111
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
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1111-1-11111-1-11-11
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-1-111-1-1-1-11-1111-11-1-1-1-1-11111111-1-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-11111-1-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111-1-1-1-1-11-1-1-11-111111-1-11111-11-1
χ17222222-2-222222220022200-2-2-2-200000-2-2000000000022-2-20022-2-2000000-2-222000000-220000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2-2200222200000022-2-2000000-2-20000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-222-200-2-2-2-200000022-2-2000000220000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-2-22200-2-222000000-2-2220000002-20000000000000
χ2122222-1222-1-12-12-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-100202022-1-100-12-1-1-1-10000200002-10-1-1-1-1000000-100
χ2222222-1222-1-12-12-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-100-20-20-2-21100-12-1-1-1-10000-20000-2101111000000100
χ2322222-1222-1-12-12-122-1-1-1-2-22-1-12-2-1-122-1-111-2-2111100202022-1-1001-2-1-1110000-20000-2-10-1-111000000100
χ2422222-1222-1-12-12-122-1-1-1-2-22-1-12-2-1-122-1-111-2-2111100-20-20-2-211001-2-1-11100002000021011-1-1000000-100
χ2522222-1222-1-12-12-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-1002020-2-2-1-1001-211110000-200002-1011-1-1000000100
χ2622222-1222-1-12-12-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-100-20-202211001-21111000020000-210-1-111000000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-21111002020-2-2-1-100-1211-1-1000020000-2-101111000000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-2111100-20-20221100-1211-1-10000-20000210-1-1-1-1000000100
χ292222-1222-122-12-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-12202020000-1-12-1-1-1-1-1000002-1-1200-10000-1-100000-10
χ302222-1222-122-12-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-1-2-20-20-20000112-1-1-1-1-100000-211-20010000110000010
χ312222-1222-122-12-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-21111112202020000-1-1-21-1-11100000-2-1-1-200-10000110000010
χ322222-1222-122-12-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-2111111-2-20-20-2000011-21-1-1110000021120010000-1-100000-10
χ332222-1222-122-12-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-1220-20-2000011-211111000002-1-1-200100001100000-10
χ342222-1222-122-12-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-1-2-202020000-1-1-21111100000-211200-10000-1-10000010
χ352222-1222-122-12-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-2111111220-20-20000112-111-1-100000-2-1-120010000-1-10000010
χ362222-1222-122-12-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-2111111-2-202020000-1-12-111-1-100000211-200-100001100000-10
χ372-22-2222-22-22-2-2-222i−2i2-2-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i002i−2i2i−2i000000000000002-200000
χ382-22-2222-22-22-2-2-222i−2i2-2-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i00−2i2i−2i2i00000000000000-2200000
χ392-22-2222-22-22-2-2-22−2i2i2-2-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i002i−2i2i−2i00000000000000-2200000
χ402-22-2222-22-22-2-2-22−2i2i2-2-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i00−2i2i−2i2i000000000000002-200000
χ412-22-222-222-22-2-2-22002-2-2002-22-2000002-2000000002-200002i−2i00000000002i−2i−2i2i002-200002i−2i00000000000
χ422-22-222-222-22-2-2-22002-2-2002-22-2000002-2000000002-20000−2i2i0000000000−2i2i2i−2i002-20000−2i2i00000000000
χ432-22-222-222-22-2-2-22002-2-2002-22-2000002-200000000-2200002i−2i0000000000−2i2i2i−2i00-2200002i−2i00000000000
χ442-22-222-222-22-2-2-22002-2-2002-22-2000002-200000000-220000−2i2i00000000002i−2i−2i2i00-220000−2i2i00000000000
χ4544444-2-4-44-2-24-24-200-2-2-200-422-40000022000000000040-4000-2-2000000000000000000200000000000000
χ4644444-2-4-44-2-24-24-200-2-2-200-422-400000220000000000-40400022000000000000000000-200000000000000
χ474444-24-4-4-244-24-2-200-2-2-2002-4-4200000220000000000040-400002200000000000000000-20000000000000
χ484444-24-4-4-244-24-2-200-2-2-2002-4-42000002200000000000-4040000-2-20000000000000000020000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-44400-44-44-4-4400-44-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000000
χ5444-4-44400-44-44-4-4400-44-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000000
χ5544-4-44-200-4-2242-4-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000000−2i32i300000000000000000000006−6000000000
χ5644-4-44-200-4-2242-4-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i2000000002i3−2i30000000000000000000000−66000000000
χ5744-4-44-200-4-2242-4-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000000−2i32i30000000000000000000000−66000000000
χ5844-4-44-200-4-2242-4-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i2000000002i3−2i300000000000000000000006−6000000000
χ5944-4-4-240024-4-2-42-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000000000023−230000000000000000000000i6−i60000000
χ6044-4-4-240024-4-2-42-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000000000−23230000000000000000000000−i6i60000000
χ6144-4-4-240024-4-2-42-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000000000023−230000000000000000000000−i6i60000000
χ6244-4-4-240024-4-2-42-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000000000−23230000000000000000000000i6−i60000000
χ634-44-44-24-442-2-42-4-24i−4i-22200-4-2240−2i2i4i−4i2-20000000000000000000000−2i2i000000000000000000000000000
χ644-44-44-24-442-2-42-4-2−4i4i-22200-4-22402i−2i−4i4i2-200000000000000000000002i−2i000000000000000000000000000
χ654-44-44-2-4442-2-42-4-200-2220042-2-400000-22000000000000004i−4i0000000000000000000000−2i2i00000000000
χ664-44-44-2-4442-2-42-4-200-2220042-2-400000-2200000000000000−4i4i00000000000000000000002i−2i00000000000
χ674-44-4-244-4-2-442-42-24i−4i-2220024-4-204i−4i−2i2i2-20000000000000000000000−2i2i000000000000000000000000000
χ684-44-4-244-4-2-442-42-2−4i4i-2220024-4-20−4i4i2i−2i2-200000000000000000000002i−2i000000000000000000000000000
χ694-44-4-24-44-2-442-42-200-22200-2-44200000-22000000004-40000000000000000000000-2200000000000000000
χ704-44-4-24-44-2-442-42-200-22200-2-44200000-2200000000-4400000000000000000000002-200000000000000000
χ714-44-4-2-24-4-22-222214i−4i1-1-1002-22-20−2i2i−2i2i-1100003-33-300000000000000i−i3i−3i0000000000000000000000000
χ724-44-4-2-24-4-22-222214i−4i1-1-1002-22-20−2i2i−2i2i-110000-33-3300000000000000i−i−3i3i0000000000000000000000000
χ734-44-4-2-24-4-22-22221−4i4i1-1-1002-22-202i−2i2i−2i-1100003-33-300000000000000−ii−3i3i0000000000000000000000000
χ744-44-4-2-24-4-22-22221−4i4i1-1-1002-22-202i−2i2i−2i-110000-33-3300000000000000−ii3i−3i0000000000000000000000000
χ754-4-444400-4-4-4-444400-4-440000000000000000000000000000000000000000000000000000000000022−22000
χ764-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000000000000000000000000000−2222000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-44-444200-22-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ7988-8-8-4-4004-44-444200-22-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ808-88-8-4-4-88-44-44442002-2-200-44-44000002-2000000000000000000000000000000000000000000000000000
χ818-8-888-400-844-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-8-848-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-2-2200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-2-22000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000

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