Finite Group Databasebeta

← Group #11884124

Character table — Group #11884124

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444448888888888888888881212121212121212121212121616161618182424242424242424242424242424242424243636367272
order12223344666666223446668812121212666612121212121224242424242424242444661212121212126612122244448812121212121212122424242448824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111-1-1-1-1111111-1-1-1-111-11-1-1-1-11111-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-111-1-1-11111-1-11111-1-111-1-11-11111-1-1-1-111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1111-11-1-1-111-1-111-1-1-1-1-1-11-1-11-1
χ611111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-111-11-1-1-11111-1-111-1-1-111-11
χ711111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-11-1-11-1111-1-1-1-111-1-111-111-11
χ811111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1111-1-111-1-11111111-1-11-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-11-11-1-1-1-111-1-111-1-1-1-11-1-1-11
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-1-11-1-111-111-1-1-1-11111-1-1-1111-1
χ1111111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-111-1-11-1-11111-1-1-1-111-1111-1
χ1211111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-111-1-111111-1-1-11
χ1311111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1
χ1411111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-111-1-1-111
χ1511111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-111
χ1611111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1111-1-1
χ17222222-2-22222220020022200-2-2-2-200000000-2-20000000022-2-22222-2-2-2-2000022000000000000000000-20000
χ18222222-2-22222220020022200-2-2-2-200000000-2-2000000002-22-222-2-222-2-20000-2-200000000000000000020000
χ19222222-2-22222220020022200-2-2-2-200000000-2-200000000-22-22-2-222-2-2220000-2-200000000000000000020000
χ20222222-2-22222220020022200-2-2-2-200000000-2-200000000-2-222-2-2-2-22222000022000000000000000000-20000
χ2122222-122-1-1222-122-122-1-1-122-122-122-1-122-1-1-1-122-1-1-1-1-1-12002-1-10000-1-1-1-1-1-1000022020000-1-1-1-100-1-100000
χ2222222-122-1-1222-122-122-1-1-122-122-122-1-122-1-1-1-122-1-1-1-1-1-1-200-211000011-1-1-1-10000-2-20-200001111001100000
χ2322222-122-1-1222-122-1-2-2-1-1-1-2-2-122-122-1-1-2-211-1-1-2-21111112002-1-10000-1-1-1-11100002-20-20000-1-111001100000
χ2422222-122-1-1222-122-1-2-2-1-1-1-2-2-122-122-1-1-2-211-1-1-2-2111111-200-211000011-1-1110000-2202000011-1-100-1-100000
χ2522222-122-1-1222-1-2-2-122-1-1-1-2-2-122-1-2-21122-1-1-1-1-2-21111112002-1-10000-1-111-1-10000-220-2000011-1-1001100000
χ2622222-122-1-1222-1-2-2-122-1-1-1-2-2-122-1-2-21122-1-1-1-1-2-2111111-200-21100001111-1-100002-2020000-1-11100-1-100000
χ2722222-122-1-1222-1-2-2-1-2-2-1-1-122-122-1-2-211-2-211-1-122-1-1-1-1-1-12002-1-10000-1-111110000-2-2020000111100-1-100000
χ2822222-122-1-1222-1-2-2-1-2-2-1-1-122-122-1-2-211-2-211-1-122-1-1-1-1-1-1-200-21100001111110000220-20000-1-1-1-1001100000
χ292222-122222-1-1-1222-122-1-1-1222-1-12-1-122-1-122-1-1-1-122-1-1-1-1022000-1-1-1-100-1-1-1-100220020-1-1-1-10000-1-10000000
χ302222-122222-1-1-1222-122-1-1-1222-1-12-1-122-1-122-1-1-1-122-1-1-1-10-2-2000111100-1-1-1-100-2-200-2011110000110000000
χ312222-122222-1-1-1222-1-2-2-1-1-1-2-22-1-12-1-12211-2-2-1-111-2-21111022000-1-1-1-100-1-111002-200-20-1-1110000110000000
χ322222-122222-1-1-1222-1-2-2-1-1-1-2-22-1-12-1-12211-2-2-1-111-2-211110-2-2000111100-1-11100-22002011-1-10000-1-10000000
χ332222-122222-1-1-12-2-2-122-1-1-1-2-22-1-1211-2-2-1-122-1-111-2-21111022000-1-1-1-10011-1-100-2200-2011-1-10000110000000
χ342222-122222-1-1-12-2-2-122-1-1-1-2-22-1-1211-2-2-1-122-1-111-2-211110-2-200011110011-1-1002-20020-1-1110000-1-10000000
χ352222-122222-1-1-12-2-2-1-2-2-1-1-1222-1-1211-2-211-2-2-1-1-1-122-1-1-1-1022000-1-1-1-100111100-2-2002011110000-1-10000000
χ362222-122222-1-1-12-2-2-1-2-2-1-1-1222-1-1211-2-211-2-2-1-1-1-122-1-1-1-10-2-20001111001111002200-20-1-1-1-10000110000000
χ372-2-2222-22-2-22-2-222-222-2-2-222-2-22-222-22-22-22-2-222-22-222-2-20000000000002-22-20000000000000000000000000
χ382-2-2222-22-2-22-2-222-22-22-2-22-22-22-222-22-2-22-22-22-22-22-2-2220000000000002-2-220000000000000000000000000
χ392-2-2222-22-2-22-2-22-2222-2-2-22-22-22-22-22-222-22-2-22-22-22-2-222000000000000-222-20000000000000000000000000
χ402-2-2222-22-2-22-2-22-222-22-2-222-2-22-22-22-22-22-22-222-22-222-2-2000000000000-22-220000000000000000000000000
χ412-2-222-1-22112-2-2-12-2-12-211-12-212-2-12-2-112-2-111-12-2-11-1-1110000−i3i30000−i3i3-11-11000000000000−i3i3−i3i300−i3i300000
χ422-2-222-1-22112-2-2-12-2-12-211-12-212-2-12-2-112-2-111-12-2-11-1-1110000i3−i30000i3−i3-11-11000000000000i3−i3i3−i300i3−i300000
χ432-2-222-1-22112-2-2-12-2-1-2211-1-2212-2-12-2-11-221-11-1-221-111-1-10000−i3i30000−i3i3-111-1000000000000−i3i3i3−i300i3−i300000
χ442-2-222-1-22112-2-2-12-2-1-2211-1-2212-2-12-2-11-221-11-1-221-111-1-10000i3−i30000i3−i3-111-1000000000000i3−i3−i3i300−i3i300000
χ452-2-222-1-22112-2-2-1-22-12-211-1-2212-2-1-221-12-2-111-1-221-111-1-10000−i3i30000−i3i31-1-11000000000000i3−i3−i3i300i3−i300000
χ462-2-222-1-22112-2-2-1-22-12-211-1-2212-2-1-221-12-2-111-1-221-111-1-10000i3−i30000i3−i31-1-11000000000000−i3i3i3−i300−i3i300000
χ472-2-222-1-22112-2-2-1-22-1-2211-12-212-2-1-221-1-221-11-12-2-11-1-1110000−i3i30000−i3i31-11-1000000000000i3−i3i3−i300−i3i300000
χ482-2-222-1-22112-2-2-1-22-1-2211-12-212-2-1-221-1-221-11-12-2-11-1-1110000i3−i30000i3−i31-11-1000000000000−i3i3−i3i300i3−i300000
χ492-2-22-12-22-2-2-11122-2-12-211-12-2-2-112-112-2-112-21-1-112-2-1-1110000003−33−300-11-11000000003−33−300003−30000000
χ502-2-22-12-22-2-2-11122-2-12-211-12-2-2-112-112-2-112-21-1-112-2-1-111000000−33−3300-11-1100000000−33−330000−330000000
χ512-2-22-12-22-2-2-11122-2-1-2211-1-22-2-112-112-21-1-221-11-1-2211-1-10000003−33−300-111-1000000003−3−330000−330000000
χ522-2-22-12-22-2-2-11122-2-1-2211-1-22-2-112-112-21-1-221-11-1-2211-1-1000000−33−3300-111-100000000−333−300003−30000000
χ532-2-22-12-22-2-2-1112-22-12-211-1-22-2-1121-1-22-112-21-11-1-2211-1-10000003−33−3001-1-1100000000−333−30000−330000000
χ542-2-22-12-22-2-2-1112-22-12-211-1-22-2-1121-1-22-112-21-11-1-2211-1-1000000−33−33001-1-11000000003−3−3300003−30000000
χ552-2-22-12-22-2-2-1112-22-1-2211-12-2-2-1121-1-221-1-221-1-112-2-1-1110000003−33−3001-11-100000000−33−3300003−30000000
χ562-2-22-12-22-2-2-1112-22-1-2211-12-2-2-1121-1-221-1-221-1-112-2-1-111000000−33−33001-11-1000000003−33−30000−330000000
χ5744444-2-4-4-2-2444-200-200-2-2-2002-4-42000000002200000000400-4-2-200002200000000000000000000000000000
χ5844444-2-4-4-2-2444-200-200-2-2-2002-4-42000000002200000000-4004220000-2-200000000000000000000000000000
χ594444-24-4-444-2-2-2400-200-2-2-200-422-400000000220000000004-4000-2-2220000000000000000000000000000000
χ604444-24-4-444-2-2-2400-200-2-2-200-422-40000000022000000000-4400022-2-20000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-24414411144-2-2-2-2-2-2-2-2-2-2-2-211-2-2-2-2111100000000000011110000000000000000000000000
χ624444-2-244-2-2-2-2-2-2441-4-4111-4-4-2-2-2-2-2-2-2-22222112222-1-1-1-100000000000011-1-10000000000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4144111-4-4-2-2-2-22222-2-2-2-2112222-1-1-1-1000000000000-1-1110000000000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41-4-411144-2-2-2-22222222211-2-2-2-21111000000000000-1-1-1-10000000000000000000000000
χ6544-4-444004-4-44-4-4004004-4-400000000000000000000000000000000000000004-400000000000000000000000
χ6644-4-444004-4-44-4-4004004-4-40000000000000000000000000000000000000000-4400000000000000000000000
χ674-44-44400-44-4-44-400400-44-40000000000000000000000000000000000000000000000000000000000000−2i22i200
χ684-44-44400-44-4-44-400400-44-400000000000000000000000000000000000000000000000000000000000002i2−2i200
χ694-4-44444-4-4-44-4-4400400-4-44004-44-4000000004-40000000000000000000000000000000000000000000000000
χ704-4-444-24-4224-4-4-200-20022-200-2-44200000000-22000000000000−2i32i300002i3−2i300000000000000000000000000000
χ714-4-444-24-4224-4-4-200-20022-200-2-44200000000-220000000000002i3−2i30000−2i32i300000000000000000000000000000
χ724-4-44-244-4-4-4-222400-20022-20042-2-400000000-220000000000000023−23−23230000000000000000000000000000000
χ734-4-44-244-4-4-4-222400-20022-20042-2-400000000-2200000000000000−232323−230000000000000000000000000000000
χ744-4-44-2-2-4422-222-24-414-4-1-114-42-22-2-22-22-22-22-11-22-2211-1-10000000000001-11-10000000000000000000000000
χ754-4-44-2-2-4422-222-24-41-44-1-11-442-22-2-22-222-22-2-112-22-2-1-1110000000000001-1-110000000000000000000000000
χ764-4-44-2-2-4422-222-2-4414-4-1-11-442-22-22-22-2-22-22-112-22-2-1-111000000000000-111-10000000000000000000000000
χ774-4-44-2-2-4422-222-2-441-44-1-114-42-22-22-22-22-22-2-11-22-2211-1-1000000000000-11-110000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-40020022200444400000000-2-20000000000000000000000000000000000000000000000000
χ7988-8-88-400-44-88-8400-400-44400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-48008-84-44-800-400-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-444-444002002-2-200000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ8288-8-8-4-400-444-444002002-2-2000000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ838-88-88-4004-4-8-88400-4004-4400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-8844-4-800-4004-4400000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-444-4400200-22-200000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-4004-444-4400200-22-2000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-48-844-444-400200-2-2200-44-44000000002-20000000000000000000000000000000000000000000000000

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