Finite Group Databasebeta

← Group #11889454

Character table — Group #11889454

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order12223344666666344666881212121224242424226666412121212121212122424242424242444488121212122424242412121212124446812121212121224244412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1111-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-11-1-111-1-1-1-1-1-111111-11111-1-1-1-11111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-111-1-111-11-111-1-111-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-111-1-11-11-1111-1-1-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11111111-1-11111-111-1-1-11-11-1-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-11111-111-1-1-1-11-11-1-111-1-1111111-1-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111111-1-11111-1-1-1-11-1-111-1-111-1-1-111-1-1-1-1111-11-1
χ14111111111111111-1-1111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11-1-111-11-1-11-1-1111111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-111111-1-111111-1-1111-111-111-1-1-1-1-1-1-1-111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1111-1-1111111-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-20000002-200-200-2-2-2-200000000000020000000002-20000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-2-20020022-2-2000000000000-2000000000-220000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002200-200-2-2220000000000002000000000-220000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000-22002002222000000000000-20000000002-20000
χ2122222-1222-1-122-1-122-1-1-1222-1-1222220000002-1-12222-1-1-1-1-1-1-1-12000200-1-1000000-1-1-1-1-1022-120000-1-1-1-100-1000
χ2222222-1222-1-122-1-122-1-1-1222-1-1222220000002-1-12222-1-1-1-1-1-1-1-1-2000-20011000000-1-1-1-1-10-2-21-200001111001000
χ2322222-1222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-2000000-2-1-122-2-2-1-11111112000200-1-10000001-1-11102-2-1-20000-1-111001000
χ2422222-1222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-2000000-2-1-122-2-2-1-1111111-2000-200110000001-1-1110-2212000011-1-100-1000
χ2522222-1222-1-122-1-1-2-2-1-1-1222-1-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-12000200-1-1000000111110-2-2-12000011-1-1001000
χ2622222-1222-1-122-1-1-2-2-1-1-1222-1-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2000-20011000000111110221-20000-1-11100-1000
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000211-2-222-1-11111112000200-1-1000000-111-1-10-22-1-20000111100-1000
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000211-2-222-1-1111111-2000-20011000000-111-1-102-2120000-1-1-1-1001000
χ292222-1222-122-1-12-122-1-1-122-122-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-122-1-1-1-1022202200-1-1-1-1-1-12-1-1-1-120000-1-1-1-10000000000
χ302222-1222-122-1-12-122-1-1-122-122-1-1-1-1-1-2-21111222-1-1-1-1-1-122-1-1-1-10-2-2-20-2-2001111112-1-1-1-1-2000011110000000000
χ312222-1222-122-1-12-122-1-1-1-2-2-122-1111122-1-1-1-1-222-1-111-1-1-2-2111102-2-20-2-200-1-11111-2-1-11120000-1-1110000000000
χ322222-1222-122-1-12-122-1-1-1-2-2-122-11111-2-21111-222-1-111-1-1-2-211110-2220220011-1-1-1-1-2-1-111-2000011-1-10000000000
χ332222-1222-122-1-12-1-2-2-1-1-122-122-1-1-1-1-122-1-1-1-1-2-2-21111-1-122-1-1-1-102-2-202200-1-1-1-1-1-1-21111-2000011110000000000
χ342222-1222-122-1-12-1-2-2-1-1-122-122-1-1-1-1-1-2-21111-2-2-21111-1-122-1-1-1-10-2220-2-200111111-2111120000-1-1-1-10000000000
χ352222-1222-122-1-12-1-2-2-1-1-1-2-2-122-1111122-1-1-1-12-2-211-1-1-1-1-2-2111102220-2-200-1-11111211-1-1-2000011-1-10000000000
χ362222-1222-122-1-12-1-2-2-1-1-1-2-2-122-11111-2-211112-2-211-1-1-1-1-2-211110-2-2-20220011-1-1-1-1211-1-120000-1-1110000000000
χ372-2-22222-2-2-22-22-222i−2i-2-22002-22-2000000000002i−2i2i−2i002-2000000002-202i−2i00002i2i−2i−2i02i−2i0000000002-20000000000
χ382-2-22222-2-2-22-22-222i−2i-2-22002-22-2000000000002i−2i2i−2i002-200000000-220−2i2i0000−2i−2i2i2i02i−2i000000000-220000000000
χ392-2-22222-2-2-22-22-22−2i2i-2-22002-22-200000000000−2i2i−2i2i002-2000000002-20−2i2i0000−2i−2i2i2i0−2i2i0000000002-20000000000
χ402-2-22222-2-2-22-22-22−2i2i-2-22002-22-200000000000−2i2i−2i2i002-200000000-2202i−2i00002i2i−2i−2i0−2i2i000000000-220000000000
χ412-2-22-122-21-221-1-2-12i−2i11-100-1-22133−3−300−i3−i3i3i302i−2i−ii−i3i3-110033−3−3002-202i−2i00−i3i3−i−iii0−ii−i3i3000003−3-110000000000
χ422-2-22-122-21-221-1-2-12i−2i11-100-1-22133−3−300i3i3−i3−i302i−2i−ii−i3i3-110033−3−300-220−2i2i00i3−i3ii−i−i0−ii−i3i300000−331-10000000000
χ432-2-22-122-21-221-1-2-12i−2i11-100-1-221−3−33300−i3−i3i3i302i−2i−iii3−i3-1100−3−33300-220−2i2i00−i3i3ii−i−i0−iii3−i3000003−31-10000000000
χ442-2-22-122-21-221-1-2-12i−2i11-100-1-221−3−33300i3i3−i3−i302i−2i−iii3−i3-1100−3−333002-202i−2i00i3−i3−i−iii0−iii3−i300000−33-110000000000
χ452-2-22-122-21-221-1-2-1−2i2i11-100-1-22133−3−300−i3−i3i3i30−2i2ii−ii3−i3-110033−3−300-2202i−2i00−i3i3−i−iii0i−ii3−i300000−331-10000000000
χ462-2-22-122-21-221-1-2-1−2i2i11-100-1-22133−3−300i3i3−i3−i30−2i2ii−ii3−i3-110033−3−3002-20−2i2i00i3−i3ii−i−i0i−ii3−i3000003−3-110000000000
χ472-2-22-122-21-221-1-2-1−2i2i11-100-1-221−3−33300−i3−i3i3i30−2i2ii−i−i3i3-1100−3−333002-20−2i2i00−i3i3ii−i−i0i−i−i3i300000−33-110000000000
χ482-2-22-122-21-221-1-2-1−2i2i11-100-1-221−3−33300i3i3−i3−i30−2i2ii−i−i3i3-1100−3−33300-2202i−2i00i3−i3−i−iii0i−i−i3i3000003−31-10000000000
χ4944444-2-4-44-2-244-2-200-2-2-200-422-400000000000000000220000004000-4002200000000000000-2000000000000000
χ5044444-2-4-44-2-244-2-200-2-2-200-422-40000000000000000022000000-4000400-2-2000000000000002000000000000000
χ514444-24-4-4-244-2-24-200-2-2-2002-4-42000044-2-2-2-20000000220000000-40000000220000000000000000000000000000
χ524444-24-4-4-244-2-24-200-2-2-2002-4-420000-4-42222000000022000000040000000-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-4-2-2-2-2221122-1-1-1-1000000000000000211-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000042222-2-21122-1-1-1-1000000000000000-2-1-1110000000000000000000
χ5744-4-44400-44-44-4-4400-44-400000000004-44-44-4000000000000000000000000000000000000000000000000000000
χ5844-4-44400-44-44-4-4400-44-40000000000-44-44-44000000000000000000000000000000000000000000000000000000
χ5944-4-4-240024-4-22-4-2002-220000006−66−64-4-22-22000000000006−66−6000000000006−66−6000000000000000000000000
χ6044-4-4-240024-4-22-4-2002-220000006−66−6-442-22-2000000000006−66−600000000000−66−66000000000000000000000000
χ6144-4-4-240024-4-22-4-2002-22000000−66−664-4-22-2200000000000−66−6600000000000−66−66000000000000000000000000
χ6244-4-4-240024-4-22-4-2002-22000000−66−66-442-22-200000000000−66−66000000000006−66−6000000000000000000000000
χ634-44-444004-4-4-4-444004-4-422−22000022−22−222200000000000000022−2222−22−2222000000000000000000000000000000000000000
χ644-44-444004-4-4-4-444004-4-4−22220000−222222−22000000000000000−2222−222222−22000000000000000000000000000000000000000
χ654-44-44-200422-4-4-2-200-22222−22000022−22−2222000000000000000−22−222−2000000023−2300000000000000000000006−6000000
χ664-44-44-200422-4-4-2-200-22222−22000022−22−2222000000000000000−22−222−20000000−23230000000000000000000000−66000000
χ674-44-44-200422-4-4-2-200-222−22220000−222222−220000000000000002−22−2−22000000023−230000000000000000000000−66000000
χ684-44-44-200422-4-4-2-200-222−22220000−222222−220000000000000002−22−2−220000000−232300000000000000000000006−6000000
χ694-44-4-2400-2-4-4224-200-22222−220000−222−200−2i32i32i3−2i300000000022−22−222−200000000000−i6i6i6−i6000000000000000000000000
χ704-44-4-2400-2-4-4224-200-22222−220000−222−2002i3−2i3−2i32i300000000022−22−222−200000000000i6−i6−i6i6000000000000000000000000
χ714-44-4-2400-2-4-4224-200-222−222200002−2−2200−2i32i32i3−2i3000000000−22222−2−2200000000000i6−i6−i6i6000000000000000000000000
χ724-44-4-2400-2-4-4224-200-222−222200002−2−22002i3−2i3−2i32i3000000000−22222−2−2200000000000−i6i6i6−i6000000000000000000000000
χ734-4-4444-44-4-44-44-4400-4-4400-44-4400000000000000000-44000000000000000000000000000000000000000000000
χ744-4-444-24-4-42-2-442-24i−4i22-20042-2-400000000000−2i2i4i−4i00-220000000000000000000000−2i2i000000000000000000000
χ754-4-444-24-4-42-2-442-2−4i4i22-20042-2-4000000000002i−2i−4i4i00-2200000000000000000000002i−2i000000000000000000000
χ764-4-444-2-44-42-2-442-20022-200-4-224000000000000000002-20000000000000000000000000000000000023−2300000000
χ774-4-444-2-44-42-2-442-20022-200-4-224000000000000000002-200000000000000000000000000000000000−232300000000
χ784-4-44-24-442-442-2-4-20022-20024-4-2000000−2i3−2i32i32i300000002-20000000000000002i3−2i30000000000000000000000000000
χ794-4-44-24-442-442-2-4-20022-20024-4-20000002i32i3−2i3−2i300000002-2000000000000000−2i32i30000000000000000000000000000
χ804-4-44-2-24-422-22-2214i−4i-1-1100-22-222323−23−230000000−2i2i−2i2i−2i32i31-100−3−3330000000000000000i−ii3−i30000000000000000000
χ814-4-44-2-24-422-22-2214i−4i-1-1100-22-22−23−2323230000000−2i2i−2i2i2i3−2i31-10033−3−30000000000000000i−i−i3i30000000000000000000
χ824-4-44-2-24-422-22-221−4i4i-1-1100-22-222323−23−2300000002i−2i2i−2i2i3−2i31-100−3−3330000000000000000−ii−i3i30000000000000000000
χ834-4-44-2-24-422-22-221−4i4i-1-1100-22-22−23−23232300000002i−2i2i−2i−2i32i31-10033−3−30000000000000000−iii3−i30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-88-400-8-448-84-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-44-444200-22-200000026−2626−2600000000000000000−66−66000000000000000000000000000000000000000
χ8788-8-8-4-4004-44-444200-22-2000000−2626−2626000000000000000006−66−6000000000000000000000000000000000000000
χ888-88-8-4-400-44444-42002-2-242−420000−222222−22000000000000000−22222−2−22000000000000000000000000000000000000000
χ898-88-8-4-400-44444-42002-2-2−4242000022−22−222200000000000000022−22−222−2000000000000000000000000000000000000000
χ908-8-88-4-4-8844-44-44200-2-22004-44-400000000000000000-22000000000000000000000000000000000000000000000

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