Finite Group Databasebeta

← Group #11889375

Character table — Group #11889375

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order12223344666666234446666612121212121212121212121246661212121212121212121212121212121212124488882244488121212122424242424242424444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ51111111111111111-1-1111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-11-11-111111111-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-1111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ71111111111111111-1-1111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ81111111111111111-1-1111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-11111
χ911111111111111-1111-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-11-1-111-1-111-1-111-1-1-1-111-11-1
χ1011111111111111-1111-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11-111-1-1-1-11111-1-111-1-11-11
χ1111111111111111-1111-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-11-1-11111-1-1-1-11111-11-1-11
χ1211111111111111-1111-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-11-111-1
χ1311111111111111-11-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-11-1-1-1111-1-111-1-1-1-11111-1-111-1
χ1411111111111111-11-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-111111-1-1-1-111-1-111-1-111-1-11
χ1511111111111111-11-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1-111111111-1-1-1-1-11111-1-111-1-1-1-11-11-11
χ1611111111111111-11-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-111-1-11111-1-111-11-11-1
χ17222222-2-22222222200-222222-2-2-2-2-2-2-2-2-2-2-2-2022200000000-2-2000000000000002200000000000000000-22-20000
χ18222222-2-22222222200-222222-2-2-2-2-2-2-2-2-2-2-2-2022200000000-2-200000000000000-2-2000000000000000002-220000
χ19222222-2-2222222-22002-2-222222-2222222-2-2-20-2-2-200000000-2-20000000000000022000000000000000002-2-20000
χ20222222-2-2222222-22002-2-222222-2222222-2-2-20-2-2-200000000-2-200000000000000-2-200000000000000000-2220000
χ2122222-12222-1-1-122-122222-1-1-1-1-1222-1-1-1-1-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002200202200000-1-1-1-10000000-1-100
χ2222222-12222-1-1-122-122222-1-1-1-1-1222-1-1-1-1-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-20-2-200000111100000001100
χ2322222-12222-1-1-122-1-2-2222-1-1-1-1-1222-1-1-1-1-1-12-2-1-1-1-2-211-2-211-1-11111111100002200-20-2200000-1-1-1-100000001100
χ2422222-12222-1-1-122-1-2-2222-1-1-1-1-1222-1-1-1-1-1-12-2-1-1-1-2-211-2-211-1-1111111110000-2-200202-20000011110000000-1-100
χ2522222-12222-1-1-12-2-122-2-2-2-1-1-1112-2-21111-1-12-211122-1-1-2-211-1-1-1-1-1-1111100002200-202-200000-1-1110000000-1100
χ2622222-12222-1-1-12-2-122-2-2-2-1-1-1112-2-21111-1-12-211122-1-1-2-211-1-1-1-1-1-111110000-2-20020-220000011-1-100000001-100
χ2722222-12222-1-1-12-2-1-2-2-2-2-2-1-1-1112-2-21111-1-122111-2-21122-1-1-1-11111-1-1-1-10000220020-2-200000-1-11100000001-100
χ2822222-12222-1-1-12-2-1-2-2-2-2-2-1-1-1112-2-21111-1-122111-2-21122-1-1-1-11111-1-1-1-10000-2-200-20220000011-1-10000000-1100
χ292222-1222-1-1222-12-1222-1-1-1-1-122-1-1-1-1-1-1-122-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222000002002-1-1-1-10000-1-1-1-10000000
χ302222-1222-1-1222-12-1222-1-1-1-1-122-1-1-1-1-1-1-122-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-200-21111000011110000000
χ312222-1222-1-1222-12-1-2-22-1-1-1-1-122-1-1-1-1-1-1-122-1-22-1-111-2-211-2-2-1-11111111122-2-200000200-2-1-1-1-1000011110000000
χ322222-1222-1-1222-12-1-2-22-1-1-1-1-122-1-1-1-1-1-1-122-1-22-1-111-2-211-2-2-1-111111111-2-22200000-200211110000-1-1-1-10000000
χ332222-1222-1-1222-1-2-122-211-1-1-1-2-2-111111122-1-2-211-1-12211-2-2-1-1-1-1-1-11111222200000-200-2-1-1110000-1-1110000000
χ342222-1222-1-1222-1-2-122-211-1-1-1-2-2-111111122-1-2-211-1-12211-2-2-1-1-1-1-1-11111-2-2-2-200000200211-1-1000011-1-10000000
χ352222-1222-1-1222-1-2-1-2-2-211-1-1-1-2-2-111111122-12-21111-2-2-1-122-1-11111-1-1-1-122-2-200000-2002-1-111000011-1-10000000
χ362222-1222-1-1222-1-2-1-2-2-211-1-1-1-2-2-111111122-12-21111-2-2-1-122-1-11111-1-1-1-1-2-22200000200-211-1-10000-1-1110000000
χ372-2-22222-2-2-2-22-22022i−2i0002-2-20020000002-2-200002i−2i2i−2i00002-22i2i−2i−2i00002-22i−2i0000000002-20000002i−2i000000000
χ382-2-22222-2-2-2-22-22022i−2i0002-2-20020000002-2-200002i−2i2i−2i00002-22i2i−2i−2i0000-22−2i2i000000000-22000000−2i2i000000000
χ392-2-22222-2-2-2-22-2202−2i2i0002-2-20020000002-2-20000−2i2i−2i2i00002-2−2i−2i2i2i00002-2−2i2i0000000002-2000000−2i2i000000000
χ402-2-22222-2-2-2-22-2202−2i2i0002-2-20020000002-2-20000−2i2i−2i2i00002-2−2i−2i2i2i0000-222i−2i000000000-220000002i−2i000000000
χ412-2-22-122-211-22-2-10-12i−2i0−i3i3-11100-1−i3i3−i3−i3i3i32-2100−i3i3−ii2i−2i3−300-11−i−iii33−3−32-22i−2i000000000-11−i3i30000−ii3−30000000
χ422-2-22-122-211-22-2-10-12i−2i0−i3i3-11100-1−i3i3−i3−i3i3i32-2100−i3i3−ii2i−2i3−300-11−i−iii33−3−3-22−2i2i0000000001-1i3−i30000i−i−330000000
χ432-2-22-122-211-22-2-10-12i−2i0i3−i3-11100-1i3−i3i3i3−i3−i32-2100i3−i3−ii2i−2i−3300-11−i−iii−3−3332-22i−2i000000000-11i3−i30000−ii−330000000
χ442-2-22-122-211-22-2-10-12i−2i0i3−i3-11100-1i3−i3i3i3−i3−i32-2100i3−i3−ii2i−2i−3300-11−i−iii−3−333-22−2i2i0000000001-1−i3i30000i−i3−30000000
χ452-2-22-122-211-22-2-10-1−2i2i0−i3i3-11100-1−i3i3−i3−i3i3i32-2100−i3i3i−i−2i2i−3300-11ii−i−i−3−3332-2−2i2i000000000-11−i3i30000i−i−330000000
χ462-2-22-122-211-22-2-10-1−2i2i0−i3i3-11100-1−i3i3−i3−i3i3i32-2100−i3i3i−i−2i2i−3300-11ii−i−i−3−333-222i−2i0000000001-1i3−i30000−ii3−30000000
χ472-2-22-122-211-22-2-10-1−2i2i0i3−i3-11100-1i3−i3i3i3−i3−i32-2100i3−i3i−i−2i2i3−300-11ii−i−i33−3−32-2−2i2i000000000-11i3−i30000i−i3−30000000
χ482-2-22-122-211-22-2-10-1−2i2i0i3−i3-11100-1i3−i3i3i3−i3−i32-2100i3−i3i−i−2i2i3−300-11ii−i−i33−3−3-222i−2i0000000001-1−i3i30000−ii−330000000
χ4944444-2-4-444-2-2-244-200-444-2-2-222-4-4-4222222-40-2-2-200000000220000000000000000000000000000000000000000
χ5044444-2-4-444-2-2-24-4-2004-4-4-2-2-2-2-2-444-2-2-2-222-4022200000000220000000000000000000000000000000000000000
χ514444-24-4-4-2-2444-24-200-4-2-2-2-2-2-4-42222222-4-4204-2-200000000220000000000000000000000000000000000000000
χ524444-24-4-4-2-2444-2-4-200422-2-2-2442-2-2-2-2-2-2-4-420-42200000000220000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-241444-2-2111-2-2-2-2-21111-2-2-24-211-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-241-4-44-2-2111-2-2-2-2-21111-2-2-2-4-2112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4144-42211122-222-1-1-1-1-2-2-2-42-1-1-2-2-2-22222111111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-41-4-4-42211122-222-1-1-1-1-2-2-242-1-12222-2-2-2-211-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-24100-4-2-211122222-1-1-1-12220-21100000000-1-13-33-33-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-24100-4-2-211122222-1-1-1-12220-21100000000-1-1-33-33-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2-4100422111-2-22-2-2111122202-1-100000000-1-13-33-3-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-4100422111-2-22-2-2111122202-1-100000000-1-1-33-333-33-300000000000000000000000000000000
χ6144-4-444004-4-4-44-40400000-44-40000000000000000000000000000000000000022−220000000000022−220000000000000
χ6244-4-444004-4-4-44-40400000-44-400000000000000000000000000000000000000−222200000000000−22220000000000000
χ6344-4-44-2004-422-2-40-2000002-2223−2300023−2323−230000000000000000000000000000022−2200000000000−226−600000000000
χ6444-4-44-2004-422-2-40-2000002-2223−2300023−2323−2300000000000000000000000000000−2222000000000002−2−6600000000000
χ6544-4-44-2004-422-2-40-2000002-22−2323000−2323−23230000000000000000000000000000022−2200000000000−22−6600000000000
χ6644-4-44-2004-422-2-40-2000002-22−2323000−2323−232300000000000000000000000000000−2222000000000002−26−600000000000
χ674-44-44400-444-4-4-40400000-4-4400000000000000000000000000000000000000004-4000000000000000000000000
χ684-44-44400-444-4-4-40400000-4-440000000000000000000000000000000000000000-44000000000000000000000000
χ694-4-4444-44-4-4-44-4404000004-4-400-4000000-444000000000000-440000000000000000000000000000000000000000
χ704-4-444-24-4-4-42-2240-24i−4i000-222004000000-22-400004i−4i−2i2i0000-22−2i−2i2i2i000000000000000000000000000000000000
χ714-4-444-24-4-4-42-2240-2−4i4i000-222004000000-22-40000−4i4i2i−2i0000-222i2i−2i−2i000000000000000000000000000000000000
χ724-4-444-2-44-4-42-2240-200000-22200-40000002-24000000000023−232-2000023−23−232300000000000000000000000000000000
χ734-4-444-2-44-4-42-2240-200000-22200-40000002-240000000000−23232-20000−232323−2300000000000000000000000000000000
χ744-4-44-24-4422-44-4-20-2000−2i32i3-2220022i3−2i32i32i3−2i3−2i3-44-200−2i32i3000000002-20000000000000000000000000000000000000000
χ754-4-44-24-4422-44-4-20-20002i3−2i3-222002−2i32i3−2i3−2i32i32i3-44-2002i3−2i3000000002-20000000000000000000000000000000000000000
χ764-4-44-2-24-4222-22-2014i−4i0−2i32i31-1-100-2−2i32i3i3i3−i3−i3-22200i3−i3−2i2i−2i2i23−23001-1ii−i−i−3−33300000000000000000000000000000000
χ774-4-44-2-24-4222-22-2014i−4i02i3−2i31-1-100-22i3−2i3−i3−i3i3i3-22200−i3i3−2i2i−2i2i−2323001-1ii−i−i33−3−300000000000000000000000000000000
χ784-4-44-2-24-4222-22-201−4i4i0−2i32i31-1-100-2−2i32i3i3i3−i3−i3-22200i3−i32i−2i2i−2i−2323001-1−i−iii33−3−300000000000000000000000000000000
χ794-4-44-2-24-4222-22-201−4i4i02i3−2i31-1-100-22i3−2i3−i3−i3i3i3-22200−i3i32i−2i2i−2i23−23001-1−i−iii−3−33300000000000000000000000000000000
χ804-4-44-2-2-44222-22-201000−2i32i31-1-10022i3−2i3−i3−i3i3i32-2-200i3−i300000023−23-11−3i3i3i−3i−333−300000000000000000000000000000000
χ814-4-44-2-2-44222-22-201000−2i32i31-1-10022i3−2i3−i3−i3i3i32-2-200i3−i3000000−2323-113i−3i−3i3i3−3−3300000000000000000000000000000000
χ824-4-44-2-2-44222-22-2010002i3−2i31-1-1002−2i32i3i3i3−i3−i32-2-200−i3i300000023−23-113i−3i−3i3i−333−300000000000000000000000000000000
χ834-4-44-2-2-44222-22-2010002i3−2i31-1-1002−2i32i3i3i3−i3−i32-2-200−i3i3000000−2323-11−3i3i3i−3i3−3−3300000000000000000000000000000000
χ8488-8-8-4800-44-8-8840-4000004-44000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4444-440200000-22-243−43000−2323−2323000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4444-440200000-22-2−434300023−2323−23000000000000000000000000000000000000000000000000000000000
χ878-88-88-400-88-444-80-40000044-4000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-48004-48-8-840-40000044-4000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4004-4-44440200000-2-22000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4004-4-44440200000-2-2200000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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