Finite Group Databasebeta

← Group #11884123

Character table — Group #11884123

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order1222334466666622344666881212121224242424226666666612121212121224242424242444488121212121212242424246612122444668121212121212242424448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111-1-111-1-1111111111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-111-1-111-1-1-1-11111-111-1-1-11-1-1111111-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-111-1-111-1-1-111-1-1-1-1111-1-1
χ611111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-11-11-1111-1-1-1-11111-1-1-111
χ711111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11111-1-111111111-1-1-11-11-1-1-11111-1-1-1-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-11111111-1-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-1-111-1-111-1-111-11-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111111-1-111-1-11-11
χ1111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11111-1-1111111-1-1111-11-111-1-1-1-1-111-1-1-1-11-11
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1111-1-111-1-11111-11-1
χ1311111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ1411111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111111111-1-1111-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1
χ1511111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1
χ1611111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-111-1-11
χ17222222-2-22222220020022200-2-2-2-2000022222200000000-2-20000002-2-20022-2-2-2-2000000000000000000000002-2000
χ18222222-2-22222220020022200-2-2-2-2000022222200000000-2-2000000-22-200-2-2-2-22200000000000000000000000-22000
χ19222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-20000002-22002222-2-200000000000000000000000-22000
χ20222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-2000000-22200-2-22222000000000000000000000002-2000
χ2122222-122-1-122-1222-122-1-1-122-122-1-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-10022200-1-100-1-1-1-1-1-1-1-12002-1-10-1-100000000000
χ2222222-122-1-122-1222-122-1-1-122-122-1-1-1-1-1-2-2111122-1-122-1-1-1-122-1-1-1-100-2-2-20011001111-1-1-1-1-200-21101100000000000
χ2322222-122-1-122-1222-1-2-2-1-1-1-2-2-122-1111122-1-1-1-122-1-1-2-211-1-1-2-21111002-2-200-1-1001111-1-111200-2-1-101100000000000
χ2422222-122-1-122-1222-1-2-2-1-1-1-2-2-122-11111-2-2111122-1-1-2-211-1-1-2-2111100-222001100-1-1-1-1-1-111-2002110-1-100000000000
χ2522222-122-1-122-12-2-2-122-1-1-1-2-2-122-1111122-1-1-1-1-2-21122-1-1-1-1-2-21111002-2-200-1-100111111-1-1-2002110-1-100000000000
χ2622222-122-1-122-12-2-2-122-1-1-1-2-2-122-11111-2-21111-2-21122-1-1-1-1-2-2111100-222001100-1-1-1-111-1-1200-2-1-101100000000000
χ2722222-122-1-122-12-2-2-1-2-2-1-1-122-122-1-1-1-1-122-1-1-1-1-2-211-2-211-1-122-1-1-1-10022200-1-100-1-1-1-11111-200-21101100000000000
χ2822222-122-1-122-12-2-2-1-2-2-1-1-122-122-1-1-1-1-1-2-21111-2-211-2-211-1-122-1-1-1-100-2-2-2001100111111112002-1-10-1-100000000000
χ292222-122222-1-12-122-122-1-1-1222-1-122222000000-1-122-1-122-1-1-1-1-1-1-1-122000-1-100-1-10000-1-1-1-1022000200-1-1-1-1-1-100000
χ302222-122222-1-12-122-122-1-1-1222-1-122222000000-1-122-1-122-1-1-1-1-1-1-1-1-2-20001100110000-1-1-1-10-2-2000-20011111100000
χ312222-122222-1-12-122-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000-1-12211-2-2-1-111111122000-1-100-1-10000-1-11102-2000-200-1-1111100000
χ322222-122222-1-12-122-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000-1-12211-2-2-1-1111111-2-20001100110000-1-1110-2200020011-1-1-1-100000
χ332222-122222-1-12-1-2-2-122-1-1-1-2-22-1-12-2-2-2-200000011-2-2-1-122-1-111111122000-1-100-1-1000011-1-10-22000-20011-1-11100000
χ342222-122222-1-12-1-2-2-122-1-1-1-2-22-1-12-2-2-2-200000011-2-2-1-122-1-1111111-2-2000110011000011-1-102-2000200-1-111-1-100000
χ352222-122222-1-12-1-2-2-1-2-2-1-1-1222-1-12222200000011-2-211-2-2-1-1-1-1-1-1-1-122000-1-100-1-1000011110-2-20002001111-1-100000
χ362222-122222-1-12-1-2-2-1-2-2-1-1-1222-1-12222200000011-2-211-2-2-1-1-1-1-1-1-1-1-2-200011001100001111022000-200-1-1-1-11100000
χ372-2-2222-22-2-22-22-22-222-2-2-222-2-22-2222-2-20000002-22-22-22-2-222-222-2-20000000000000002-22-200000000000000000000
χ382-2-2222-22-2-22-22-22-22-22-2-22-22-22-22-2-2220000002-22-2-22-22-22-22-2-2220000000000000002-2-2200000000000000000000
χ392-2-2222-22-2-22-22-2-2222-2-2-22-22-22-22-2-222000000-22-222-22-2-22-22-2-222000000000000000-222-200000000000000000000
χ402-2-2222-22-2-22-22-2-222-22-2-222-2-22-2222-2-2000000-22-22-22-22-222-222-2-2000000000000000-22-2200000000000000000000
χ412-2-222-1-22112-2-1-22-2-12-211-12-212-2-1-1-11100−i3−i3i3i32-2-112-2-111-12-2-1-1110000000−i3i300−i3−i3i3i3-11-110000−i3i30−i3i300000000000
χ422-2-222-1-22112-2-1-22-2-12-211-12-212-2-1-1-11100i3i3−i3−i32-2-112-2-111-12-2-1-1110000000i3−i300i3i3−i3−i3-11-110000i3−i30i3−i300000000000
χ432-2-222-1-22112-2-1-22-2-1-2211-1-2212-2-111-1-100−i3−i3i3i32-2-11-221-11-1-2211-1-10000000−i3i300i3i3−i3−i3-111-10000−i3i30i3−i300000000000
χ442-2-222-1-22112-2-1-22-2-1-2211-1-2212-2-111-1-100i3i3−i3−i32-2-11-221-11-1-2211-1-10000000i3−i300−i3−i3i3i3-111-10000i3−i30−i3i300000000000
χ452-2-222-1-22112-2-1-2-22-12-211-1-2212-2-111-1-100−i3−i3i3i3-221-12-2-111-1-2211-1-10000000−i3i300i3i3−i3−i31-1-110000i3−i30−i3i300000000000
χ462-2-222-1-22112-2-1-2-22-12-211-1-2212-2-111-1-100i3i3−i3−i3-221-12-2-111-1-2211-1-10000000i3−i300−i3−i3i3i31-1-110000−i3i30i3−i300000000000
χ472-2-222-1-22112-2-1-2-22-1-2211-12-212-2-1-1-11100−i3−i3i3i3-221-1-221-11-12-2-1-1110000000−i3i300−i3−i3i3i31-11-10000i3−i30i3−i300000000000
χ482-2-222-1-22112-2-1-2-22-1-2211-12-212-2-1-1-11100i3i3−i3−i3-221-1-221-11-12-2-1-1110000000i3−i300i3i3−i3−i31-11-10000−i3i30−i3i300000000000
χ492-2-22-12-22-2-2-11212-2-12-211-12-2-2-11222-2-2000000-112-2-112-21-1-11-1-111000003−3003−30000-11-110000000003−33−33−300000
χ502-2-22-12-22-2-2-11212-2-12-211-12-2-2-11222-2-2000000-112-2-112-21-1-11-1-11100000−3300−330000-11-11000000000−33−33−3300000
χ512-2-22-12-22-2-2-11212-2-1-2211-1-22-2-112-2-222000000-112-21-1-221-11-111-1-1000003−3003−30000-111-10000000003−3−33−3300000
χ522-2-22-12-22-2-2-11212-2-1-2211-1-22-2-112-2-222000000-112-21-1-221-11-111-1-100000−3300−330000-111-1000000000−333−33−300000
χ532-2-22-12-22-2-2-1121-22-12-211-1-22-2-112-2-2220000001-1-22-112-21-11-111-1-1000003−3003−300001-1-11000000000−333−3−3300000
χ542-2-22-12-22-2-2-1121-22-12-211-1-22-2-112-2-2220000001-1-22-112-21-11-111-1-100000−3300−3300001-1-110000000003−3−333−300000
χ552-2-22-12-22-2-2-1121-22-1-2211-12-2-2-11222-2-20000001-1-221-1-221-1-11-1-111000003−3003−300001-11-1000000000−33−333−300000
χ562-2-22-12-22-2-2-1121-22-1-2211-12-2-2-11222-2-20000001-1-221-1-221-1-11-1-11100000−3300−3300001-11-10000000003−33−3−3300000
χ5744444-2-4-4-2-244-2400-200-2-2-2002-4-42000044-2-2-2-2000000002200000000-4000022000000000000000000000000000000
χ5844444-2-4-4-2-244-2400-200-2-2-2002-4-420000-4-4222200000000220000000040000-2-2000000000000000000000000000000
χ594444-24-4-444-2-24-200-200-2-2-200-422-4000000000000000000220000004-4000-2-200220000000000000000000000000000
χ604444-24-4-444-2-24-200-200-2-2-200-422-400000000000000000022000000-440002200-2-20000000000000000000000000000
χ614444-2-244-2-2-2-2-2-24414411144-2-2-2-2-2-2-2-2000000-2-2-2-2-2-2-2-211-2-21111000000000000000111100000000000000000000
χ624444-2-244-2-2-2-2-2-2441-4-4111-4-4-2-2-2-22222000000-2-2-2-222221122-1-1-1-100000000000000011-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4144111-4-4-2-2-2-222220000002222-2-2-2-21122-1-1-1-1000000000000000-1-11100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41-4-411144-2-2-2-2-2-2-2-20000002222222211-2-21111000000000000000-1-1-1-100000000000000000000
χ6544-4-444004-4-44-4-4004004-4-400000000004-44-44-40000000000000000000000000000000000000000000000000000000
χ6644-4-444004-4-44-4-4004004-4-40000000000-44-44-440000000000000000000000000000000000000000000000000000000
χ6744-4-44-200-22-442-400-200-2220000006−66−64-4-22-220000000000006−66−6000000000006−66−6000000000000000000000000
χ6844-4-44-200-22-442-400-200-2220000006−66−6-442-22-20000000000006−66−600000000000−66−66000000000000000000000000
χ6944-4-44-200-22-442-400-200-222000000−66−664-4-22-22000000000000−66−6600000000000−66−66000000000000000000000000
χ7044-4-44-200-22-442-400-200-222000000−66−66-442-22-2000000000000−66−66000000000006−66−6000000000000000000000000
χ714-44-44400-44-4-4-4400400-44-400000000000000000000000000000000000−2i22i2000000−2i22i22i2−2i2000000000000000000000000
χ724-44-44400-44-4-4-4400400-44-4000000000000000000000000000000000002i2−2i20000002i2−2i2−2i22i2000000000000000000000000
χ734-44-44-2002-2-4-42400-2002-220000006−6−6600−2i32i32i3−2i30000000000006−6−660002i2−2i2000000−i2i2i2−i2000000000000000000000000
χ744-44-44-2002-2-4-42400-2002-220000006−6−66002i3−2i3−2i32i30000000000006−6−66000−2i22i2000000i2−i2−i2i2000000000000000000000000
χ754-44-44-2002-2-4-42400-2002-22000000−666−600−2i32i32i3−2i3000000000000−666−6000−2i22i2000000i2−i2−i2i2000000000000000000000000
χ764-44-44-2002-2-4-42400-2002-22000000−666−6002i3−2i3−2i32i3000000000000−666−60002i2−2i2000000−i2i2i2−i2000000000000000000000000
χ774-4-44444-4-4-44-44-400400-4-44004-44-40000000000000000004-4000000000000000000000000000000000000000000000
χ784-4-444-24-4224-4-2-400-20022-200-2-442000000−2i3−2i32i32i300000000-2200000000000002i3−2i3000000000000000000000000000000
χ794-4-444-24-4224-4-2-400-20022-200-2-4420000002i32i3−2i3−2i300000000-220000000000000−2i32i3000000000000000000000000000000
χ804-4-44-244-4-4-4-224200-20022-20042-2-4000000000000000000-220000000000023−2300−23230000000000000000000000000000
χ814-4-44-244-4-4-4-224200-20022-20042-2-4000000000000000000-2200000000000−23230023−230000000000000000000000000000
χ824-4-44-2-2-4422-22-224-414-4-1-114-42-22-2-2-222000000-22-22-22-22-11-2211-1-10000000000000001-11-100000000000000000000
χ834-4-44-2-2-4422-22-224-41-44-1-11-442-22-222-2-2000000-22-222-22-2-112-2-1-1110000000000000001-1-1100000000000000000000
χ844-4-44-2-2-4422-22-22-4414-4-1-11-442-22-222-2-20000002-22-2-22-22-112-2-1-111000000000000000-111-100000000000000000000
χ854-4-44-2-2-4422-22-22-441-44-1-114-42-22-2-2-2220000002-22-22-22-2-11-2211-1-1000000000000000-11-1100000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-400200222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-8-48008-84-4-8400-400-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400-444-444002002-2-200000026−2626−26000000000000000000−66−66000000000000000000000000000000000000000
χ8988-8-8-4-400-444-444002002-2-2000000−2626−26260000000000000000006−66−6000000000000000000000000000000000000000
χ908-88-8-4800-8844-8-400-4004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-4004-4444-400200-22-200000026−26−2626000000000000000000−666−6000000000000000000000000000000000000000
χ928-88-8-4-4004-4444-400200-22-2000000−262626−260000000000000000006−6−66000000000000000000000000000000000000000
χ938-8-88-4-48-844-44-4400200-2-2200-44-440000000000000000002-2000000000000000000000000000000000000000000000

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