Finite Group Databasebeta

← Group #11884435

Character table — Group #11884435

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order122233446666662234466688121212122424242444121212126666121212121212242424242424224666688121224242424661212222466666681212242444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111111111111111-111-1-111-1-111-1-1-1-11111-111-1-1-111111-1-111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-11-11-1-111-1-1-111-1-1111-1-1
χ611111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-111
χ711111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-11-111-1-1111-1-111111-1-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1111-11-111-1-111-1-1-1-1-111-11-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-11-11
χ1111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11111111111-1-111-1-111-1-1-1-111-111-1-1-1-11-11
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-11-11-1-111-1-11111111-11-1
χ1311111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11
χ1411111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111-1
χ1511111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111-1-111-1
χ1611111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-111-1-11
χ17222222-2-22222220020022200-2-2-2-2000022222200000000-2-2000000-22-2-2-22200-2-200000000000000000000000-22000
χ18222222-2-22222220020022200-2-2-2-2000022222200000000-2-2000000-2-22-2-2-2-20022000000000000000000000002-2000
χ19222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-200000022-2222200-2-2000000000000000000000002-2000
χ20222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-20000002-2222-2-2002200000000000000000000000-22000
χ2122222-12222-1-1-1222-122-1-1-122-12-12222200000022-1-1-1-122-1-1-1-1-1-1-1-102200-1-100-1-10000-1-1-1-1022000-1-1-1-1200-1-100000
χ2222222-12222-1-1-1222-122-1-1-122-12-12222200000022-1-1-1-122-1-1-1-1-1-1-1-10-2-2001100110000-1-1-1-10-2-20001111-2001100000
χ2322222-12222-1-1-1222-1-2-2-1-1-1-2-2-12-12-2-2-2-200000022-1-111-2-2-1-111111102200-1-100-1-10000-1-11102-2000-1-111-2001100000
χ2422222-12222-1-1-1222-1-2-2-1-1-1-2-2-12-12-2-2-2-200000022-1-111-2-2-1-11111110-2-2001100110000-1-1110-2200011-1-1200-1-100000
χ2522222-12222-1-1-12-2-2-122-1-1-1-2-2-12-12-2-2-2-2000000-2-211-1-122-1-111111102200-1-100-1-1000011-1-10-2200011-1-1-2001100000
χ2622222-12222-1-1-12-2-2-122-1-1-1-2-2-12-12-2-2-2-2000000-2-211-1-122-1-11111110-2-200110011000011-1-102-2000-1-111200-1-100000
χ2722222-12222-1-1-12-2-2-1-2-2-1-1-122-12-122222000000-2-21111-2-2-1-1-1-1-1-1-1-102200-1-100-1-1000011110-2-20001111200-1-100000
χ2822222-12222-1-1-12-2-2-1-2-2-1-1-122-12-122222000000-2-21111-2-2-1-1-1-1-1-1-1-10-2-20011001100001111022000-1-1-1-1-2001100000
χ292222-1222-1-1222-122-122-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-1200-1-1002200-1-1-1-1-1-1-1-12002-1-100000-1-10000000
χ302222-1222-1-1222-122-122-1-1-1222-12-1-1-1-1-1-2-21111-1-12222-1-1-1-122-1-1-1-1-2001100-2-2001111-1-1-1-1-200-21100000110000000
χ312222-1222-1-1222-122-1-2-2-1-1-1-2-22-12-1111122-1-1-1-1-1-122-2-211-1-1-2-21111200-1-100-2-2001111-1-111-20021100000-1-10000000
χ322222-1222-1-1222-122-1-2-2-1-1-1-2-22-12-11111-2-21111-1-122-2-211-1-1-2-21111-20011002200-1-1-1-1-1-111200-2-1-100000110000000
χ332222-1222-1-1222-1-2-2-122-1-1-1-2-22-12-1111122-1-1-1-111-2-222-1-1-1-1-2-21111200-1-100-2-200111111-1-1200-2-1-100000110000000
χ342222-1222-1-1222-1-2-2-122-1-1-1-2-22-12-11111-2-2111111-2-222-1-1-1-1-2-21111-20011002200-1-1-1-111-1-1-20021100000-1-10000000
χ352222-1222-1-1222-1-2-2-1-2-2-1-1-1222-12-1-1-1-1-122-1-1-1-111-2-2-2-211-1-122-1-1-1-1200-1-1002200-1-1-1-11111-200-21100000110000000
χ362222-1222-1-1222-1-2-2-1-2-2-1-1-1222-12-1-1-1-1-1-2-2111111-2-2-2-211-1-122-1-1-1-1-2001100-2-200111111112002-1-100000-1-10000000
χ372-22-2222-2-2-2-2-2222-222-2-2-222-2-2-22222-2-20000002-22-22-22-2-222-222-2-20000000000000002-22-200000000000000000000
χ382-22-2222-2-2-2-2-2222-22-22-2-22-22-2-222-2-2220000002-22-2-22-22-22-22-2-2220000000000000002-2-2200000000000000000000
χ392-22-2222-2-2-2-2-222-2222-2-2-22-22-2-222-2-222000000-22-222-22-2-22-22-2-222000000000000000-222-200000000000000000000
χ402-22-2222-2-2-2-2-222-222-22-2-222-2-2-22222-2-2000000-22-22-22-22-222-222-2-2000000000000000-22-2200000000000000000000
χ412-22-22-12-2-2-211-122-2-12-211-12-21-2-1222-2-20000002-2-11-112-21-1-11-1-11100000−i3i300−i3i30000-11-11000000−i3i3−i3i3000−i3i300000
χ422-22-22-12-2-2-211-122-2-12-211-12-21-2-1222-2-20000002-2-11-112-21-1-11-1-11100000i3−i300i3−i30000-11-11000000i3−i3i3−i3000i3−i300000
χ432-22-22-12-2-2-211-122-2-1-2211-1-221-2-12-2-2220000002-2-111-1-221-11-111-1-100000−i3i300−i3i30000-111-1000000−i3i3i3−i3000i3−i300000
χ442-22-22-12-2-2-211-122-2-1-2211-1-221-2-12-2-2220000002-2-111-1-221-11-111-1-100000i3−i300i3−i30000-111-1000000i3−i3−i3i3000−i3i300000
χ452-22-22-12-2-2-211-12-22-12-211-1-221-2-12-2-222000000-221-1-112-21-11-111-1-100000−i3i300−i3i300001-1-11000000i3−i3−i3i3000i3−i300000
χ462-22-22-12-2-2-211-12-22-12-211-1-221-2-12-2-222000000-221-1-112-21-11-111-1-100000i3−i300i3−i300001-1-11000000−i3i3i3−i3000−i3i300000
χ472-22-22-12-2-2-211-12-22-1-2211-12-21-2-1222-2-2000000-221-11-1-221-1-11-1-11100000−i3i300−i3i300001-11-1000000i3−i3i3−i3000−i3i300000
χ482-22-22-12-2-2-211-12-22-1-2211-12-21-2-1222-2-2000000-221-11-1-221-1-11-1-11100000i3−i300i3−i300001-11-1000000−i3i3−i3i3000i3−i300000
χ492-22-2-122-211-2-22-12-2-12-211-12-2-212-1-1-11100−i3−i3i3i3-112-22-2-111-12-2-1-111000−i3i3000000−i3−i3i3i3-11-110000−i3i300000−i3i30000000
χ502-22-2-122-211-2-22-12-2-12-211-12-2-212-1-1-11100i3i3−i3−i3-112-22-2-111-12-2-1-111000i3−i3000000i3i3−i3−i3-11-110000i3−i300000i3−i30000000
χ512-22-2-122-211-2-22-12-2-1-2211-1-22-212-111-1-100−i3−i3i3i3-112-2-221-11-1-2211-1-1000−i3i3000000i3i3−i3−i3-111-10000i3−i300000−i3i30000000
χ522-22-2-122-211-2-22-12-2-1-2211-1-22-212-111-1-100i3i3−i3−i3-112-2-221-11-1-2211-1-1000i3−i3000000−i3−i3i3i3-111-10000−i3i300000i3−i30000000
χ532-22-2-122-211-2-22-1-22-12-211-1-22-212-111-1-100−i3−i3i3i31-1-222-2-111-1-2211-1-1000−i3i3000000i3i3−i3−i31-1-110000−i3i300000i3−i30000000
χ542-22-2-122-211-2-22-1-22-12-211-1-22-212-111-1-100i3i3−i3−i31-1-222-2-111-1-2211-1-1000i3−i3000000−i3−i3i3i31-1-110000i3−i300000−i3i30000000
χ552-22-2-122-211-2-22-1-22-1-2211-12-2-212-1-1-11100−i3−i3i3i31-1-22-221-11-12-2-1-111000−i3i3000000−i3−i3i3i31-11-10000i3−i300000i3−i30000000
χ562-22-2-122-211-2-22-1-22-1-2211-12-2-212-1-1-11100i3i3−i3−i31-1-22-221-11-12-2-1-111000i3−i3000000i3i3−i3−i31-11-10000−i3i300000−i3i30000000
χ5744444-2-4-444-2-2-2400-200-2-2-2002-42-40000000000000000002200000004-400-2-200220000000000000000000000000000
χ5844444-2-4-444-2-2-2400-200-2-2-2002-42-4000000000000000000220000000-44002200-2-20000000000000000000000000000
χ594444-24-4-4-2-2444-200-200-2-2-200-42-42000044-2-2-2-20000000022000000-400220000000000000000000000000000000000
χ604444-24-4-4-2-2444-200-200-2-2-200-42-420000-4-422220000000022000000400-2-20000000000000000000000000000000000
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
χ6544-4-444004-44-4-4-4004004-4-400000000004i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000
χ6644-4-444004-44-4-4-4004004-4-40000000000−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000
χ6744-4-4-2400-224-4-4200-200-2220000006−66−64i−4i−2i2i−2i2i0000000000006−66−600000000000i6−i6i6−i6000000000000000000000000
χ6844-4-4-2400-224-4-4200-200-2220000006−66−6−4i4i2i−2i2i−2i0000000000006−66−600000000000−i6i6−i6i6000000000000000000000000
χ6944-4-4-2400-224-4-4200-200-222000000−66−664i−4i−2i2i−2i2i000000000000−66−6600000000000−i6i6−i6i6000000000000000000000000
χ7044-4-4-2400-224-4-4200-200-222000000−66−66−4i4i2i−2i2i−2i000000000000−66−6600000000000i6−i6i6−i6000000000000000000000000
χ714-44-444-44-4-4-4-44400400-4-440044-4-40000000000000000004-4000000000000000000000000000000000000000000000
χ724-44-44-2-44-4-422-2400-20022-200-242-4000000000000000000-2200000000000−2i32i3002i3−2i30000000000000000000000000000
χ734-44-44-2-44-4-422-2400-20022-200-242-4000000000000000000-22000000000002i3−2i300−2i32i30000000000000000000000000000
χ744-44-4-24-4422-4-44-200-20022-2004-2-42000000−2i3−2i32i32i300000000-220000000002i3−2i30000000000000000000000000000000000
χ754-44-4-24-4422-4-44-200-20022-2004-2-420000002i32i3−2i3−2i300000000-22000000000−2i32i30000000000000000000000000000000000
χ764-44-4-2-24-42222-2-24-414-4-1-114-422-2-2-2-222000000-22-22-22-22-11-2211-1-10000000000000001-11-100000000000000000000
χ774-44-4-2-24-42222-2-24-41-44-1-11-4422-2-222-2-2000000-22-222-22-2-112-2-1-1110000000000000001-1-1100000000000000000000
χ784-44-4-2-24-42222-2-2-4414-4-1-11-4422-2-222-2-20000002-22-2-22-22-112-2-1-111000000000000000-111-100000000000000000000
χ794-44-4-2-24-42222-2-2-441-44-1-114-422-2-2-2-2220000002-22-22-22-2-11-2211-1-1000000000000000-11-1100000000000000000000
χ804-4-444400-44-44-4-400400-44-400000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ814-4-444400-44-44-4-400400-44-4000000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ824-4-44-24002-2-44-4200-2002-220000006−6−660023−23−23230000000000006−6−660000000−2222002−2−22000000000000000000000000
χ834-4-44-24002-2-44-4200-2002-220000006−6−6600−232323−230000000000006−6−66000000022−2200−222−2000000000000000000000000
χ844-4-44-24002-2-44-4200-2002-22000000−666−60023−23−2323000000000000−666−6000000022−2200−222−2000000000000000000000000
χ854-4-44-24002-2-44-4200-2002-22000000−666−600−232323−23000000000000−666−60000000−2222002−2−22000000000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-400200222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-88-4008-8-444-800-400-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400-44-4444002002-2-200000026−2626−26000000000000000000−66−66000000000000000000000000000000000000000
χ8988-8-8-4-400-44-4444002002-2-2000000−2626−26260000000000000000006−66−6000000000000000000000000000000000000000
χ908-88-8-4-4-884444-4-400200-2-2200-4-4440000000000000000002-2000000000000000000000000000000000000000000000
χ918-8-888-400-884-44-800-4004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-44-44400200-22-200000026−26−2626000000000000000000−666−6000000000000000000000000000000000000000
χ938-8-88-4-4004-44-44400200-22-2000000−262626−260000000000000000006−6−66000000000000000000000000000000000000000

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