Finite Group Databasebeta

← Group #11878662

Character table — Group #11878662

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order122233446666663666881212121222442466121212122424242424242424446688881212666121212444422226666121224242424886624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-11-111
χ5111111111111111111111111-1-1111111111111111111-11-1-111-1-111111111-1-1-1-1-1-11111-1-11-1-1-111-1-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111111-11-1-1-11111-1-1-1-1-1-11-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111111-11-1111-1-111-1-1-1-1-1-1-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-11-11111-1-1-1-1111-1-1-1-1-1-1-11-1-111111-11-1-11111-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11-1-11111111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-11111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-11-1-1111111-111-1-111-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-11-1111-1-1-1-11111-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-11-1-1-111-1-11111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-222000022000000-2-22200000000-2-20000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22220000-2-200000022-2-2000000002-20000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-2-2-200002200000022-2-200000000-220000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-20000000022-2-20000-2-2000000-2-22200000000220000000000
χ2122222-122-12-12-12-1-1-1-1222-1-12220022-1-122-1-1-1-122-1-1-1-120-1-10022002-1-1-1-1-10000220000-1-10-1-1-100000-100
χ2222222-122-12-12-12-1-1-1-1222-1-122200-2-211-2-2-1-1-1-122-1-1-1-120-1-1002200-2111110000-2-20000110-1-1-100000100
χ2322222-122-12-12-12-1-1-1-1222-1-12-2-20022-1-122-1-1-1-122-1-1-1-1-201100-2-2002-1-1-1-1-10000-2-2000011011100000100
χ2422222-122-12-12-12-1-1-1-1222-1-12-2-200-2-211-2-2-1-1-1-122-1-1-1-1-201100-2-200-2111110000220000-1-1011100000-100
χ2522222-122-12-12-12-1-1-1-1-2-22-1-1222002-2-1-1-2-2-1-111-2-2111120-1-100-2-2002-1-111100002-20000-1-10-11100000100
χ2622222-122-12-12-12-1-1-1-1-2-22-1-122200-221122-1-111-2-2111120-1-100-2-200-211-1-1-10000-220000110-11100000-100
χ2722222-122-12-12-12-1-1-1-1-2-22-1-12-2-2002-2-1-1-2-2-1-111-2-21111-20110022002-1-11110000-2200001101-1-100000-100
χ2822222-122-12-12-12-1-1-1-1-2-22-1-12-2-200-221122-1-111-2-21111-2011002200-211-1-1-100002-20000-1-101-1-100000100
χ292222-12222-12-12-1-1-1-1-122-122-100222222-1-1-1-122-1-1-1-1-1-102002200-1-1-1-1-12-1-100000022-1-100-1000-1-100-1000
χ302222-12222-12-12-1-1-1-1-122-122-10022-2-2-2-211-1-122-1-1-1-1-1-102002200-1-1111-211000000-2-21100-1000-1-1001000
χ312222-12222-12-12-1-1-1-1-122-122-100-2-22222-1-1-1-122-1-1-1-1-1-10-200-2-20011-1-1-12-1-1000000-2-21100100011001000
χ322222-12222-12-12-1-1-1-1-122-122-100-2-2-2-2-2-211-1-122-1-1-1-1-1-10-200-2-20011111-21100000022-1-10010001100-1000
χ332222-12222-12-12-1-1-1-1-1-2-2-122-100222-22211-1-1-2-21111110200-2-200-1-1-1-1-1-2110000002-21100-10001100-1000
χ342222-12222-12-12-1-1-1-1-1-2-2-122-10022-22-2-2-1-1-1-1-2-21111110200-2-200-1-11112-1-1000000-22-1-100-100011001000
χ352222-12222-12-12-1-1-1-1-1-2-2-122-100-2-22-22211-1-1-2-21111110-200220011-1-1-1-211000000-22-1-1001000-1-1001000
χ362222-12222-12-12-1-1-1-1-1-2-2-122-100-2-2-22-2-2-1-1-1-1-2-21111110-2002200111112-1-10000002-211001000-1-100-1000
χ372-2-222200-2-22-2-222-2-222−200002-22-2000000002−22−222−2−2002-22−22−22-2000000002-200000000002−22−22−20000
χ382-2-222200-2-22-2-222-2-222−200002-2-22000000002−22−222−2−2002-2−222−2-2200000000-2200000000002−2−22−220000
χ392-2-222200-2-22-2-222-2-222−20000-222-2000000002−22−222−2−200-222−2−222-200000000-220000000000−222−2−220000
χ402-2-222200-2-22-2-222-2-222−20000-22-22000000002−22−222−2−200-22−22−22-22000000002-20000000000−22−222−20000
χ412-2-222200-2-22-2-222-2-22−2200002-22-200000000−22−22−2−222002-2−22−222-2000000002-20000000000−22−22−220000
χ422-2-222200-2-22-2-222-2-22−2200002-2-2200000000−22−22−2−222002-22−2−22-2200000000-220000000000−222−22−20000
χ432-2-222200-2-22-2-222-2-22−220000-222-200000000−22−22−2−22200-22−222−22-200000000-2200000000002−2−222−20000
χ442-2-222200-2-22-2-222-2-22−220000-22-2200000000−22−22−2−22200-222−22−2-22000000002-200000000002−22−2−220000
χ4544444-2-4-4-24-24-24-2-2-2-200-422-444000000002200000000-40-2-2000000000000000000000000020000000000
χ4644444-2-4-4-24-24-24-2-2-2-200-422-4-4-400000000220000000040220000000000000000000000000-20000000000
χ474444-24-4-44-24-24-2-2-2-2-2002-4-42004400000022000000000-4000000-2-2000000000000000000200000000000
χ484444-24-4-44-24-24-2-2-2-2-2002-4-4200-4-400000022000000000400000022000000000000000000-200000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-211-211000000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-2111100000000002-1-12-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2112-1-1000000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-1-1-211000000000000000000000000
χ5344-4-4444-4-44-4-44-44-44-400-44-440000000000-44000000000000000000000000000000000000000000000000
χ5444-4-444-44-44-4-44-44-44-4004-44-400000000004-4000000000000000000000000000000000000000000000000
χ5544-4-44-24-4242-4-2-4-22-2200-4-22400000000002-20000000000000000000000000000000000−2i32i3000000000000
χ5644-4-44-24-4242-4-2-4-22-2200-4-22400000000002-200000000000000000000000000000000002i3−2i3000000000000
χ5744-4-44-2-44242-4-2-4-22-220042-2-4000000−2i32i300-220000000000000000000−2i32i3000000000000000000000000000
χ5844-4-44-2-44242-4-2-4-22-220042-2-40000002i3−2i300-2200000000000000000002i3−2i3000000000000000000000000000
χ5944-4-4-244-4-4-2-4242-22-220024-4-200000000002-200000000000000000000000000000000−2i32i300000000000000
χ6044-4-4-244-4-4-2-4242-22-220024-4-200000000002-2000000000000000000000000000000002i3−2i300000000000000
χ6144-4-4-24-44-4-2-4242-22-2200-2-4420000000023−23-22000000000000000000000023−23000000000000000000000000
χ6244-4-4-24-44-4-2-4242-22-2200-2-44200000000−2323-220000000000000000000000−2323000000000000000000000000
χ6344-4-4-2-2-442-222-221-11-100-22-22000000−2i32i323−231-100003i−3i3i−3i00000000000i3−i30−33000000000000000000000000
χ6444-4-4-2-2-442-222-221-11-100-22-22000000−2i32i3−23231-10000−3i3i−3i3i00000000000i3−i303−3000000000000000000000000
χ6544-4-4-2-2-442-222-221-11-100-22-220000002i3−2i323−231-10000−3i3i−3i3i00000000000−i3i30−33000000000000000000000000
χ6644-4-4-2-2-442-222-221-11-100-22-220000002i3−2i3−23231-100003i−3i3i−3i00000000000−i3i303−3000000000000000000000000
χ674-44-444004-4-44-4-444-4-40000000000000000000000000000000000000000004-40000000000000000000000
χ684-44-444004-4-44-4-444-4-4000000000000000000000000000000000000000000-440000000000000000000000
χ694-4-444-2002-4-2-424-222-222−2200004-40000000000−2222−22−2−22200-220022−220000000000000000000000−2200000000
χ704-4-444-2002-4-2-424-222-222−220000-440000000000−2222−22−2−222002-200−222200000000000000000000002−200000000
χ714-4-444-2002-4-2-424-222-2−222200004-400000000002−2−222222−2−200-2200−222200000000000000000000002−200000000
χ724-4-444-2002-4-2-424-222-2−22220000-4400000000002−2−222222−2−2002-20022−220000000000000000000000−2200000000
χ734-4-44-2400-4242-4-2-222-222−220000004-40000000022−22−22−2−222000022−2200-220000000000000000000000−22000000
χ744-4-44-2400-4242-4-2-222-222−22000000-440000000022−22−22−2−2220000−2222002-200000000000000000000002−2000000
χ754-4-44-2400-4242-4-2-222-2−22220000004-400000000−22222−222−2−20000−222200-2200000000000000000000002−2000000
χ764-4-44-2400-4242-4-2-222-2−2222000000-4400000000−22222−222−2−2000022−22002-20000000000000000000000−22000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-84-444-442-22-2004-44-40000000000-22000000000000000000000000000000000000000000000000
χ798-88-88-400-4-8484-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-480084-8-4-84-4-444000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400-444-44422-2-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ828-88-8-4-400-444-44422-2-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ838-8-88-4-40044-444-42-2-2242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000
χ848-8-88-4-40044-444-42-2-22−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000

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