Finite Group Databasebeta

← Group #11889384

Character table — Group #11889384

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order12223344666666234446666666666612121212121241212121212121212121212121212121212121212124488882244488121212122424242424242424444121244
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
χ511111111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-11-111111111-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ811111111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-11111
χ911111111111111-11-111-1-1-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-11
χ1011111111111111-11-111-1-1-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-111-1
χ1111111111111111-11-111-1-1-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-1-11111-1-1-1-11111-11-11-1
χ1211111111111111-11-111-1-1-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-111-1-111-1-11-11-11
χ1311111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1111-1-111-1-1-1-11111-1-11-11
χ1411111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-111-11-1
χ1511111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11111-1-1-1-1-1-11111-1-1111111-111-1-1-1-11111-1-111-1-1-1-11-111-1
χ1611111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-11-1-1-111-1-11111-1-111-11-1-11
χ17222222-2-222222222-20022222222222-2-2-2-2-2-200000-20000-2-2-2-20000000000000022000000000000000002-2-20000
χ18222222-2-222222222-20022222222222-2-2-2-2-2-200000-20000-2-2-2-200000000000000-2-200000000000000000-2220000
χ19222222-2-2222222-22200-2-2-2-222-2-2-2-22-222-2-2-20000020000-2-222000000000000002200000000000000000-22-20000
χ20222222-2-2222222-22200-2-2-2-222-2-2-2-22-222-2-2-20000020000-2-22200000000000000-2-2000000000000000002-220000
χ2122222-12222-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-122-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222000002002-1-1-1-10000-1-1-1-10000000
χ2222222-12222-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-122-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-200-21111000011110000000
χ2322222-12222-1-1-122-12-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-211112-2-2-2-2-1-1-1-11111111122-2-200000200-2-1-1-1-1000011110000000
χ2422222-12222-1-1-122-12-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-211112-2-2-2-2-1-1-1-111111111-2-22200000-200211110000-1-1-1-10000000
χ2522222-12222-1-1-12-2-1-222-2-211-1-11111-1-11122-1-2-1-111-222-2-2-1-111-1-1-1-11111222200000-200-2-1-1110000-1-1110000000
χ2622222-12222-1-1-12-2-1-222-2-211-1-11111-1-11122-1-2-1-111-222-2-2-1-111-1-1-1-11111-2-2-2-200000200211-1-1000011-1-10000000
χ2722222-12222-1-1-12-2-1-2-2-2-2-211-1-11111-1-11122-1211-1-1-2-2-222-1-1111111-1-1-1-122-2-200000-2002-1-111000011-1-10000000
χ2822222-12222-1-1-12-2-1-2-2-2-2-211-1-11111-1-11122-1211-1-1-2-2-222-1-1111111-1-1-1-1-2-22200000200-211-1-10000-1-1110000000
χ292222-1222-1-1222-12-1222-1-122-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200202200000-1-1-1-10000000-1-100
χ302222-1222-1-1222-12-1222-1-122-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-20-2-200000111100000001100
χ312222-1222-1-1222-12-12-2-2-1-122-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-11111-1-1-1-11111111100002200-20-2200000-1-1-1-100000001100
χ322222-1222-1-1222-12-12-2-2-1-122-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-11111-1-1-1-1111111110000-2-200202-20000011110000000-1-100
χ332222-1222-1-1222-1-2-1-22211-2-2-1-11111-12-2-2-1-12-222-2-21-1-111-1-111-1-1-1-111110000220020-2-200000-1-1110000000-1100
χ342222-1222-1-1222-1-2-1-22211-2-2-1-11111-12-2-2-1-12-222-2-21-1-111-1-111-1-1-1-111110000-2-200-20220000011-1-100000001-100
χ352222-1222-1-1222-1-2-1-2-2-211-2-2-1-11111-12-2-2-1-122-2-222111-1-1-1-1111111-1-1-1-100002200-202-200000-1-11100000001-100
χ362222-1222-1-1222-1-2-1-2-2-211-2-2-1-11111-12-2-2-1-122-2-222111-1-1-1-1111111-1-1-1-10000-2-20020-220000011-1-10000000-1100
χ372-2-22222-2-2-22-2-220202-20000-2-2000022002-2-202-20002-2002-20022-2-200002i−2i2i−2i0000000002i−2i0000002i−2i000000000
χ382-2-22222-2-2-22-2-220202-20000-2-2000022002-2-202-20002-2002-20022-2-20000−2i2i−2i2i000000000−2i2i000000−2i2i000000000
χ392-2-22222-2-2-22-2-22020-220000-2-2000022002-2-20-22000-22002-200-2-22200002i−2i−2i2i0000000002i−2i000000−2i2i000000000
χ402-2-22222-2-2-22-2-22020-220000-2-2000022002-2-20-22000-22002-200-2-2220000−2i2i2i−2i000000000−2i2i0000002i−2i000000000
χ412-2-222-12-2-2-2-11120-102-200−i3i311−i3−i3i3i3-1-1−i3i32-210-11−i3i302-200-11−i3i3-1-111−i3−i3i3i32i−2i2i−2i000000000−ii3−30000−ii3−30000000
χ422-2-222-12-2-2-2-11120-102-200−i3i311−i3−i3i3i3-1-1−i3i32-210-11−i3i302-200-11−i3i3-1-111−i3−i3i3i3−2i2i−2i2i000000000i−i−330000i−i−330000000
χ432-2-222-12-2-2-2-11120-102-200i3−i311i3i3−i3−i3-1-1i3−i32-210-11i3−i302-200-11i3−i3-1-111i3i3−i3−i32i−2i2i−2i000000000−ii−330000−ii−330000000
χ442-2-222-12-2-2-2-11120-102-200i3−i311i3i3−i3−i3-1-1i3−i32-210-11i3−i302-200-11i3−i3-1-111i3i3−i3−i3−2i2i−2i2i000000000i−i3−30000i−i3−30000000
χ452-2-222-12-2-2-2-11120-10-2200−i3i311−i3−i3i3i3-1-1−i3i32-2101-1i3−i30-2200-11−i3i311-1-1i3i3−i3−i32i−2i−2i2i000000000−ii3−30000i−i−330000000
χ462-2-222-12-2-2-2-11120-10-2200−i3i311−i3−i3i3i3-1-1−i3i32-2101-1i3−i30-2200-11−i3i311-1-1i3i3−i3−i3−2i2i2i−2i000000000i−i−330000−ii3−30000000
χ472-2-222-12-2-2-2-11120-10-2200i3−i311i3i3−i3−i3-1-1i3−i32-2101-1−i3i30-2200-11i3−i311-1-1−i3−i3i3i32i−2i−2i2i000000000−ii−330000i−i3−30000000
χ482-2-222-12-2-2-2-11120-10-2200i3−i311i3i3−i3−i3-1-1i3−i32-2101-1−i3i30-2200-11i3−i311-1-1−i3−i3i3i3−2i2i2i−2i000000000i−i3−30000−ii−330000000
χ4944444-2-4-444-2-2-244-2-40044-2-2-2-2-2-2-2-2-2222-4-4200000-4000022220000000000000000000000000000000000000000
χ5044444-2-4-444-2-2-24-4-2400-4-422-2-22222-22-2-2-4-42000004000022-2-20000000000000000000000000000000000000000
χ514444-24-4-4-2-2444-24-2-400-2-244-2-2-2-2-2-2-2-4-4-422-4000002000022220000000000000000000000000000000000000000
χ524444-24-4-4-2-2444-2-4-240022-4-4-2-22222-2-44422-400000-2000022-2-20000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-241444-2-2-2-21111111-2-2-2-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2414-4-4-2-2-2-21111111-2-2-2-2-2-2-42222-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-41-444222211-1-1-1-11-222-2-2-2-4-2-2222-2-22211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-41-4-4-4222211-1-1-1-11-222-2-2-2422-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-211111112222220000020000-1-1-1-13-33-33-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-211111112222220000020000-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-112-2-222200000-20000-1-1113-33-3-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-112-2-222200000-20000-1-111-33-333-33-300000000000000000000000000000000
χ6144-4-44400-44-44-4-40400000004-40000-400000000000000000000000000000000004-4000000000000000000000000
χ6244-4-44400-44-44-4-40400000004-40000-40000000000000000000000000000000000-44000000000000000000000000
χ634-44-444004-4-4-44-4040000000-440000-40000000000000000000000000000000022−220000000000022−220000000000000
χ644-44-444004-4-4-44-4040000000-440000-400000000000000000000000000000000−222200000000000−22220000000000000
χ654-44-4-2400-22-4-4420-2000−2i32i3002-2−2i32i3−2i32i320000000000000000000000000000000022−2200000000000−22i6−i600000000000
χ664-44-4-2400-22-4-4420-2000−2i32i3002-2−2i32i3−2i32i3200000000000000000000000000000000−2222000000000002−2−i6i600000000000
χ674-44-4-2400-22-4-4420-20002i3−2i3002-22i3−2i32i3−2i320000000000000000000000000000000022−2200000000000−22−i6i600000000000
χ684-44-4-2400-22-4-4420-20002i3−2i3002-22i3−2i32i3−2i3200000000000000000000000000000000−2222000000000002−2i6−i600000000000
χ694-4-4444-44-4-44-4-44040000000-4-400004-400-4440000000000-44000000000000000000000000000000000000000000
χ704-4-444-2-44-4-4-22240-200000−2i32i322−2i3−2i32i32i3-222i3−2i3-44-200000000002-22i3−2i30000000000000000000000000000000000000000
χ714-4-444-2-44-4-4-22240-2000002i3−2i3222i32i3−2i3−2i3-22−2i32i3-44-200000000002-2−2i32i30000000000000000000000000000000000000000
χ724-4-44-244-4224-4-4-20-204-40000220000-2400-22-404-4000-2200-2200-2-222000000000000000000000000000000000000
χ734-4-44-244-4224-4-4-20-20-440000220000-2400-22-40-440002-200-220022-2-2000000000000000000000000000000000000
χ744-4-44-24-44224-4-4-20-20000000220000-2-4002-2400000000−2i32i32-2000000−2i32i32i3−2i300000000000000000000000000000000
χ754-4-44-24-44224-4-4-20-20000000220000-2-4002-24000000002i3−2i32-20000002i3−2i3−2i32i300000000000000000000000000000000
χ764-4-44-2-24-422-222-20104-400−2i32i3-1-1i3i3−i3−i31-2−2i32i3-2220-22−2i32i30-22001-1i3−i311-1-1i3i3−i3−i300000000000000000000000000000000
χ774-4-44-2-24-422-222-20104-4002i3−2i3-1-1−i3−i3i3i31-22i3−2i3-2220-222i3−2i30-22001-1−i3i311-1-1−i3−i3i3i300000000000000000000000000000000
χ784-4-44-2-24-422-222-2010-4400−2i32i3-1-1i3i3−i3−i31-2−2i32i3-22202-22i3−2i302-2001-1i3−i3-1-111−i3−i3i3i300000000000000000000000000000000
χ794-4-44-2-24-422-222-2010-44002i3−2i3-1-1−i3−i3i3i31-22i3−2i3-22202-2−2i32i302-2001-1−i3i3-1-111i3i3−i3−i300000000000000000000000000000000
χ804-4-44-2-2-4422-222-20100000−2i32i3-1-1i3i3−i3−i3122i3−2i32-2-200000000−2i32i3-11−i3i3-333-3i3−i3−i3i300000000000000000000000000000000
χ814-4-44-2-2-4422-222-20100000−2i32i3-1-1i3i3−i3−i3122i3−2i32-2-2000000002i3−2i3-11−i3i33-3-33−i3i3i3−i300000000000000000000000000000000
χ824-4-44-2-2-4422-222-201000002i3−2i3-1-1−i3−i3i3i312−2i32i32-2-200000000−2i32i3-11i3−i33-3-33i3−i3−i3i300000000000000000000000000000000
χ834-4-44-2-2-4422-222-201000002i3−2i3-1-1−i3−i3i3i312−2i32i32-2-2000000002i3−2i3-11i3−i3-333-3−i3i3i3−i300000000000000000000000000000000
χ8488-8-88-400-884-44-80-40000000-4400004000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-48004-4-88-840-40000000-4400004000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-44-4440200000002-26-6-66-2000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-4004-44-4440200000002-2-666-6-2000000000000000000000000000000000000000000000000000000000000
χ888-88-88-4008-844-4-80-400000004-400004000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-4444-4402000−4i34i300-222i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4444-44020004i3−4i300-22−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000

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