Finite Group Databasebeta

← Group #11884280

Character table — Group #11884280

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order1222334466666622223666881212121224242424441212121266666666121224242424242422466668812122424242466662444668121212121212242444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111111111111111-111-1-111-1-111-1-1-1-111111-1-1111111-1-1-1-111-1-1-1-1-1
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
χ51111111111111111-1-11111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111111-1-111-1-1-1-111-1-111-1-111-1-1-111-1-1-1-1111-1-1
χ61111111111111111-1-11111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-111111-1-111-1-1-111
χ71111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-111-1-1111111111111-1-11-11-111-1-1-1-1-111-1-1-1-1-111
χ81111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1-11111111-1-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-1-1-111-1-111-1-1-111-1-111-1-111-11-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111-1-1-1-11111-1-11-11
χ1111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-11111111111-1-111-11-11-1-1-11111-1-1-1-1-1-11-11
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1111-1-111-1-11111-11-1
χ1311111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ1411111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-11-1-1111-111-1-1-1-1-1-1-1-111-1
χ1511111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-11-1-1111111-1-111-1
χ1611111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-111-1-11
χ17222222-2-22222220000222200-2-2-2-2000022222200000000-2-2000000-22-2-2-22200-2-2000000000000000000000002-2000
χ18222222-2-22222220000222200-2-2-2-2000022222200000000-2-2000000-2-22-2-2-2-2002200000000000000000000000-22000
χ19222222-2-22222220000222200-2-2-2-20000-2-2-2-2-2-200000000-2-200000022-2222200-2-200000000000000000000000-22000
χ20222222-2-22222220000222200-2-2-2-20000-2-2-2-2-2-200000000-2-20000002-2222-2-20022000000000000000000000002-2000
χ2122222-12222-1-1-122222-1-1-1-122-12-1222220000002222-1-1-1-1-1-1-1-1-1-1-1-102200-1-100-1-10000-1-1-1-12002-1-12-1-10000-1-100000
χ2222222-12222-1-1-122222-1-1-1-122-12-1222220000002222-1-1-1-1-1-1-1-1-1-1-1-10-2-2001100110000-1-1-1-1-200-211-21100001100000
χ2322222-12222-1-1-1222-2-2-1-1-1-1-2-2-12-12-2-2-2-200000022-2-2-1-111-1-111111102200-1-100-1-10000-1-111200-2-1-1-21100001100000
χ2422222-12222-1-1-1222-2-2-1-1-1-1-2-2-12-12-2-2-2-200000022-2-2-1-111-1-11111110-2-2001100110000-1-111-2002112-1-10000-1-100000
χ2522222-12222-1-1-12-2-222-1-1-1-1-2-2-12-12-2-2-2-2000000-2-22211-1-1-1-111111102200-1-100-1-1000011-1-1-200211-2-1-100001100000
χ2622222-12222-1-1-12-2-222-1-1-1-1-2-2-12-12-2-2-2-2000000-2-22211-1-1-1-11111110-2-200110011000011-1-1200-2-1-12110000-1-100000
χ2722222-12222-1-1-12-2-2-2-2-1-1-1-122-12-122222000000-2-2-2-21111-1-1-1-1-1-1-1-102200-1-100-1-100001111-200-2112110000-1-100000
χ2822222-12222-1-1-12-2-2-2-2-1-1-1-122-12-122222000000-2-2-2-21111-1-1-1-1-1-1-1-10-2-200110011000011112002-1-1-2-1-100001100000
χ292222-1222-1-1222-12222-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-122-1-1-1-1200-1-1002200-1-1-1-1-1-1-1-1022000000-1-1-1-10000000
χ302222-1222-1-1222-12222-1-1-1-1222-12-1-1-1-1-1-2-21111-1-1-1-12222-1-122-1-1-1-1-2001100-2-2001111-1-1-1-10-2-200000011110000000
χ312222-1222-1-1222-122-2-2-1-1-1-1-2-22-12-1111122-1-1-1-1-1-11122-2-2-1-1-2-21111200-1-100-2-2001111-1-11102-2000000-1-1110000000
χ322222-1222-1-1222-122-2-2-1-1-1-1-2-22-12-11111-2-21111-1-11122-2-2-1-1-2-21111-20011002200-1-1-1-1-1-1110-2200000011-1-10000000
χ332222-1222-1-1222-1-2-222-1-1-1-1-2-22-12-1111122-1-1-1-111-1-1-2-222-1-1-2-21111200-1-100-2-200111111-1-10-2200000011-1-10000000
χ342222-1222-1-1222-1-2-222-1-1-1-1-2-22-12-11111-2-2111111-1-1-2-222-1-1-2-21111-20011002200-1-1-1-111-1-102-2000000-1-1110000000
χ352222-1222-1-1222-1-2-2-2-2-1-1-1-1222-12-1-1-1-1-122-1-1-1-11111-2-2-2-2-1-122-1-1-1-1200-1-1002200-1-1-1-111110-2-200000011110000000
χ362222-1222-1-1222-1-2-2-2-2-1-1-1-1222-12-1-1-1-1-1-2-211111111-2-2-2-2-1-122-1-1-1-1-2001100-2-20011111111022000000-1-1-1-10000000
χ3722-2-2222-2-2-2-2-2222-22-22-2-222-2-2-22222-2-20000002-22-22-22-2-222-222-2-20000000000000002-22-200000000000000000000
χ3822-2-2222-2-2-2-2-2222-2-222-2-22-22-2-222-2-2220000002-2-222-2-22-22-22-2-2220000000000000002-2-2200000000000000000000
χ3922-2-2222-2-2-2-2-222-222-22-2-22-22-2-222-2-222000000-222-2-222-2-22-22-2-222000000000000000-222-200000000000000000000
χ4022-2-2222-2-2-2-2-222-22-222-2-222-2-2-22222-2-2000000-22-22-22-22-222-222-2-2000000000000000-22-2200000000000000000000
χ4122-2-22-12-2-2-211-122-22-2-111-12-21-2-1222-2-20000002-22-2-11-111-1-11-1-11100000−i3i300−i3i30000-11-110000−i3i30−i3i30000−i3i300000
χ4222-2-22-12-2-2-211-122-22-2-111-12-21-2-1222-2-20000002-22-2-11-111-1-11-1-11100000i3−i300i3−i30000-11-110000i3−i30i3−i30000i3−i300000
χ4322-2-22-12-2-2-211-122-2-22-111-1-221-2-12-2-2220000002-2-22-111-11-11-111-1-100000−i3i300−i3i30000-111-10000−i3i30i3−i30000i3−i300000
χ4422-2-22-12-2-2-211-122-2-22-111-1-221-2-12-2-2220000002-2-22-111-11-11-111-1-100000i3−i300i3−i30000-111-10000i3−i30−i3i30000−i3i300000
χ4522-2-22-12-2-2-211-12-222-2-111-1-221-2-12-2-222000000-222-21-1-111-11-111-1-100000−i3i300−i3i300001-1-110000i3−i30−i3i30000i3−i300000
χ4622-2-22-12-2-2-211-12-222-2-111-1-221-2-12-2-222000000-222-21-1-111-11-111-1-100000i3−i300i3−i300001-1-110000−i3i30i3−i30000−i3i300000
χ4722-2-22-12-2-2-211-12-22-22-111-12-21-2-1222-2-2000000-22-221-11-11-1-11-1-11100000−i3i300−i3i300001-11-10000i3−i30i3−i30000−i3i300000
χ4822-2-22-12-2-2-211-12-22-22-111-12-21-2-1222-2-2000000-22-221-11-11-1-11-1-11100000i3−i300i3−i300001-11-10000−i3i30−i3i30000i3−i300000
χ4922-2-2-122-211-2-22-12-22-2-111-12-2-212-1-1-11100−i3−i3i3i3-11-112-22-21-12-2-1-111000−i3i3000000−i3−i3i3i3-11-11000000000−i3i3−i3i30000000
χ5022-2-2-122-211-2-22-12-22-2-111-12-2-212-1-1-11100i3i3−i3−i3-11-112-22-21-12-2-1-111000i3−i3000000i3i3−i3−i3-11-11000000000i3−i3i3−i30000000
χ5122-2-2-122-211-2-22-12-2-22-111-1-22-212-111-1-100−i3−i3i3i3-111-12-2-221-1-2211-1-1000−i3i3000000i3i3−i3−i3-111-1000000000−i3i3i3−i30000000
χ5222-2-2-122-211-2-22-12-2-22-111-1-22-212-111-1-100i3i3−i3−i3-111-12-2-221-1-2211-1-1000i3−i3000000−i3−i3i3i3-111-1000000000i3−i3−i3i30000000
χ5322-2-2-122-211-2-22-1-222-2-111-1-22-212-111-1-100−i3−i3i3i31-1-11-222-21-1-2211-1-1000−i3i3000000i3i3−i3−i31-1-11000000000i3−i3−i3i30000000
χ5422-2-2-122-211-2-22-1-222-2-111-1-22-212-111-1-100i3i3−i3−i31-1-11-222-21-1-2211-1-1000i3−i3000000−i3−i3i3i31-1-11000000000−i3i3i3−i30000000
χ5522-2-2-122-211-2-22-1-22-22-111-12-2-212-1-1-11100−i3−i3i3i31-11-1-22-221-12-2-1-111000−i3i3000000−i3−i3i3i31-11-1000000000i3−i3i3−i30000000
χ5622-2-2-122-211-2-22-1-22-22-111-12-2-212-1-1-11100i3i3−i3−i31-11-1-22-221-12-2-1-111000i3−i3000000i3i3−i3−i31-11-1000000000−i3i3−i3i30000000
χ5744444-2-4-444-2-2-240000-2-2-2-2002-42-40000000000000000002200000004-400-2-200220000000000000000000000000000
χ5844444-2-4-444-2-2-240000-2-2-2-2002-42-4000000000000000000220000000-44002200-2-20000000000000000000000000000
χ594444-24-4-4-2-2444-20000-2-2-2-200-42-42000044-2-2-2-20000000022000000-400220000000000000000000000000000000000
χ604444-24-4-4-2-2444-20000-2-2-2-200-42-420000-4-422220000000022000000400-2-20000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-24444111144-2-2-2-2-2-2-2-2000000-2-2-2-2-2-2-2-211-2-21111000000000000000111100000000000000000000
χ624444-2-244-2-2-2-2-2-244-4-41111-4-4-2-2-2-22222000000-2-222-2-2221122-1-1-1-100000000000000011-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4441111-4-4-2-2-2-2222200000022-2-222-2-21122-1-1-1-1000000000000000-1-11100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-4111144-2-2-2-2-2-2-2-20000002222222211-2-21111000000000000000-1-1-1-100000000000000000000
χ6544-4-444-44-4-4-4-44400004-4-440044-4-40000000000000000004-4000000000000000000000000000000000000000000000
χ6644-4-44-2-44-4-422-240000-222-200-242-4000000000000000000-2200000000000−2i32i3002i3−2i30000000000000000000000000000
χ6744-4-44-2-44-4-422-240000-222-200-242-4000000000000000000-22000000000002i3−2i300−2i32i30000000000000000000000000000
χ6844-4-4-24-4422-4-44-20000-222-2004-2-42000000−2i3−2i32i32i300000000-220000000002i3−2i30000000000000000000000000000000000
χ6944-4-4-24-4422-4-44-20000-222-2004-2-420000002i32i3−2i3−2i300000000-22000000000−2i32i30000000000000000000000000000000000
χ7044-4-4-2-24-42222-2-24-44-41-1-114-422-2-2-2-222000000-22-22-22-22-11-2211-1-10000000000000001-11-100000000000000000000
χ7144-4-4-2-24-42222-2-24-4-441-1-11-4422-2-222-2-2000000-222-2-222-2-112-2-1-1110000000000000001-1-1100000000000000000000
χ7244-4-4-2-24-42222-2-2-444-41-1-11-4422-2-222-2-20000002-2-222-2-22-112-2-1-111000000000000000-111-100000000000000000000
χ7344-4-4-2-24-42222-2-2-44-441-1-114-422-2-2-2-2220000002-22-22-22-2-11-2211-1-1000000000000000-11-1100000000000000000000
χ744-44-444004-44-4-4-4000044-4-4000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ754-44-444004-44-4-4-4000044-4-40000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ764-44-4-2400-224-4-420000-2-222000000i6−i6i6−i60023−2323−23000000000000i6−i6i6−i60000000−2i22i200i2−i2i2−i2000000000000000000000000
χ774-44-4-2400-224-4-420000-2-222000000i6−i6i6−i600−2323−2323000000000000i6−i6i6−i600000002i2−2i200−i2i2−i2i2000000000000000000000000
χ784-44-4-2400-224-4-420000-2-222000000−i6i6−i6i60023−2323−23000000000000−i6i6−i6i600000002i2−2i200−i2i2−i2i2000000000000000000000000
χ794-44-4-2400-224-4-420000-2-222000000−i6i6−i6i600−2323−2323000000000000−i6i6−i6i60000000−2i22i200i2−i2i2−i2000000000000000000000000
χ804-4-444400-44-44-4-400004-44-400000000004i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000
χ814-4-444400-44-44-4-400004-44-40000000000−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000
χ824-4-44-24002-2-44-420000-22-22000000i6−i6−i6i64i−4i−2i2i2i−2i000000000000i6−i6−i6i600000000000−666−6000000000000000000000000
χ834-4-44-24002-2-44-420000-22-22000000i6−i6−i6i6−4i4i2i−2i−2i2i000000000000i6−i6−i6i6000000000006−6−66000000000000000000000000
χ844-4-44-24002-2-44-420000-22-22000000−i6i6i6−i64i−4i−2i2i2i−2i000000000000−i6i6i6−i6000000000006−6−66000000000000000000000000
χ854-4-44-24002-2-44-420000-22-22000000−i6i6i6−i6−4i4i2i−2i−2i2i000000000000−i6i6i6−i600000000000−666−6000000000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-400002222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-8-4-4-884444-4-400002-2-2200-4-4440000000000000000002-2000000000000000000000000000000000000000000000
χ888-88-88-4008-8-444-80000-4-44400000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-44-4444000022-2-20000002i6−2i62i6−2i6000000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ908-88-8-4-400-44-4444000022-2-2000000−2i62i6−2i62i6000000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ918-8-888-400-884-44-80000-44-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-44-44400002-22-20000002i6−2i6−2i62i6000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ938-8-88-4-4004-44-44400002-22-2000000−2i62i62i6−2i6000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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