Finite Group Databasebeta

← Group #11878851

Character table — Group #11878851

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order122233446666663666881212121222442466121212122424242424242424446688881212666121212444422446612121212242424248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-111-1-111-1-1111111-1-1-1-11-11-111-1-1-1111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111-1-1-1-11-111
χ5111111111111111111111111-1-1111111111111111111-11-1-111-1-111111111-1-1-1-1-11-11-1-1111-1-1-111-1-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-111-1-1-1111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1111111-1-1111-1-11-1-1-1-1-1-11-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-11-11111-1-1-1-1111-1-1-1-1-1-1-11-1-1111-1111-1-11111-1-1-11
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
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-11-1-1-111-1-11111-11
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
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-111-1-1-111-11111-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111111-1-111-1-1-1-11111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-22200002200000022-2-2000000-200-20000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22220000-2-2000000-2-222000000200-20000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-2-2-2000022000000-2-222000000-20020000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-20000000022-2-20000-2-200000022-2-200000020020000000000
χ2122222-122-1-1222-1-1-1-1-1222-1-12220022-1-122-1-1-1-122-1-1-1-120-1-10022002-1-1-1-1-100002020-1-1000-1-1-100000-100
χ2222222-122-1-1222-1-1-1-1-1222-1-122200-2-211-2-2-1-1-1-122-1-1-1-120-1-1002200-2111110000-20-2011000-1-1-100000100
χ2322222-122-1-1222-1-1-1-1-1222-1-12-2-20022-1-122-1-1-1-122-1-1-1-1-201100-2-2002-1-1-1-1-10000-20-201100011100000100
χ2422222-122-1-1222-1-1-1-1-1222-1-12-2-200-2-211-2-2-1-1-1-122-1-1-1-1-201100-2-200-21111100002020-1-100011100000-100
χ2522222-122-1-1222-1-1-1-1-1-2-22-1-1222002-2-1-1-2-2-1-111-2-2111120-1-100-2-2002-1-1111000020-20-1-1000-11100000100
χ2622222-122-1-1222-1-1-1-1-1-2-22-1-122200-221122-1-111-2-2111120-1-100-2-200-211-1-1-10000-202011000-11100000-100
χ2722222-122-1-1222-1-1-1-1-1-2-22-1-12-2-2002-2-1-1-2-2-1-111-2-21111-20110022002-1-11110000-2020110001-1-100000-100
χ2822222-122-1-1222-1-1-1-1-1-2-22-1-12-2-200-221122-1-111-2-21111-2011002200-211-1-1-1000020-20-1-10001-1-100000100
χ292222-122222-1-1-12-1-1-1-122-122-100222222-1-1-1-122-1-1-1-1-1-102002200-1-1-1-1-12-1-10000020200-1-1-1000-1-100-1000
χ302222-122222-1-1-12-1-1-1-122-122-10022-2-2-2-211-1-122-1-1-1-1-1-102002200-1-1111-21100000-20-200-111000-1-1001000
χ312222-122222-1-1-12-1-1-1-122-122-100-2-22222-1-1-1-122-1-1-1-1-1-10-200-2-20011-1-1-12-1-100000-20-20011100011001000
χ322222-122222-1-1-12-1-1-1-122-122-100-2-2-2-2-2-211-1-122-1-1-1-1-1-10-200-2-20011111-21100000202001-1-10001100-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-122-100222-22211-1-1-2-21111110200-2-200-1-1-1-1-1-2110000020-200-1110001100-1000
χ342222-122222-1-1-12-1-1-1-1-2-2-122-10022-22-2-2-1-1-1-1-2-21111110200-2-200-1-11112-1-100000-20200-1-1-100011001000
χ352222-122222-1-1-12-1-1-1-1-2-2-122-100-2-22-22211-1-1-2-21111110-200220011-1-1-1-21100000-202001-1-1000-1-1001000
χ362222-122222-1-1-12-1-1-1-1-2-2-122-100-2-2-22-2-2-1-1-1-1-2-21111110-2002200111112-1-10000020-200111000-1-100-1000
χ3722-2-222002-22-2-2-222-2-2−i2i200002-22-200000000−i2i2−i2i2−i2−i2i2i2002-2−i2i2−i2i22-20000002-2000000000000−i2i2−i2i2−i2i20000
χ3822-2-222002-22-2-2-222-2-2−i2i200002-2-2200000000−i2i2−i2i2−i2−i2i2i2002-2i2−i2−i2i2-22000000-22000000000000−i2i2i2−i2i2−i20000
χ3922-2-222002-22-2-2-222-2-2−i2i20000-222-200000000−i2i2−i2i2−i2−i2i2i200-22−i2i2i2−i22-2000000-22000000000000i2−i2−i2i2i2−i20000
χ4022-2-222002-22-2-2-222-2-2−i2i20000-22-2200000000−i2i2−i2i2−i2−i2i2i200-22i2−i2i2−i2-220000002-2000000000000i2−i2i2−i2−i2i20000
χ4122-2-222002-22-2-2-222-2-2i2−i200002-22-200000000i2−i2i2−i2i2i2−i2−i2002-2i2−i2i2−i22-20000002-2000000000000i2−i2i2−i2i2−i20000
χ4222-2-222002-22-2-2-222-2-2i2−i200002-2-2200000000i2−i2i2−i2i2i2−i2−i2002-2−i2i2i2−i2-22000000-22000000000000i2−i2−i2i2−i2i20000
χ4322-2-222002-22-2-2-222-2-2i2−i20000-222-200000000i2−i2i2−i2i2i2−i2−i200-22i2−i2−i2i22-2000000-22000000000000−i2i2i2−i2−i2i20000
χ4422-2-222002-22-2-2-222-2-2i2−i20000-22-2200000000i2−i2i2−i2i2i2−i2−i200-22−i2i2−i2i2-220000002-2000000000000−i2i2−i2i2i2−i20000
χ4544444-2-4-4-2-2444-2-2-2-2-200-422-444000000002200000000-40-2-2000000000000000000000000020000000000
χ4644444-2-4-4-2-2444-2-2-2-2-200-422-4-4-400000000220000000040220000000000000000000000000-20000000000
χ474444-24-4-444-2-2-24-2-2-2-2002-4-42004400000022000000000-4000000-2-2000000000000000020000000000000
χ484444-24-4-444-2-2-24-2-2-2-2002-4-4200-4-4000000220000000004000000220000000000000000-20000000000000
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
χ5344-4-44-200-224-4-42-2-222−2i22i200004-40000000000i2−i2−2i22i2i2i2−i2−i200-2200−2i22i20000000000000000000000i2−i200000000
χ5444-4-44-200-224-4-42-2-222−2i22i20000-440000000000i2−i2−2i22i2i2i2−i2−i2002-2002i2−2i20000000000000000000000−i2i200000000
χ5544-4-44-200-224-4-42-2-2222i2−2i200004-40000000000−i2i22i2−2i2−i2−i2i2i200-22002i2−2i20000000000000000000000−i2i200000000
χ5644-4-44-200-224-4-42-2-2222i2−2i20000-440000000000−i2i22i2−2i2−i2−i2i2i2002-200−2i22i20000000000000000000000i2−i200000000
χ5744-4-4-24004-4-222-4-2-222−2i22i20000004-400000000−2i22i2i2−i2i2i2−i2−i20000−2i22i200-220000000000000000000000i2−i2000000
χ5844-4-4-24004-4-222-4-2-222−2i22i2000000-4400000000−2i22i2i2−i2i2i2−i2−i200002i2−2i2002-20000000000000000000000−i2i2000000
χ5944-4-4-24004-4-222-4-2-2222i2−2i20000004-4000000002i2−2i2−i2i2−i2−i2i2i200002i2−2i200-220000000000000000000000−i2i2000000
χ6044-4-4-24004-4-222-4-2-2222i2−2i2000000-44000000002i2−2i2−i2i2−i2−i2i2i20000−2i22i2002-20000000000000000000000i2−i2000000
χ614-44-4444-4-4-4-4-4444-44-400-44-440000000000-44000000000000000000000000000000000000000000000000
χ624-44-444-44-4-4-4-4444-44-4004-44-400000000004-4000000000000000000000000000000000000000000000000
χ634-44-44-24-422-4-44-2-22-2200-4-22400000000002-200000000000000000000000000000000−2i32i300000000000000
χ644-44-44-24-422-4-44-2-22-2200-4-22400000000002-2000000000000000000000000000000002i3−2i300000000000000
χ654-44-44-2-4422-4-44-2-22-220042-2-4000000−2i32i300-220000000000000000000−2i32i3000000000000000000000000000
χ664-44-44-2-4422-4-44-2-22-220042-2-40000002i3−2i300-2200000000000000000002i3−2i3000000000000000000000000000
χ674-44-4-244-4-4-422-24-22-220024-4-200000000002-200000000000000000000000000000000000−2i32i300000000000
χ684-44-4-244-4-4-422-24-22-220024-4-200000000002-2000000000000000000000000000000000002i3−2i300000000000
χ694-44-4-24-44-4-422-24-22-2200-2-4420000000023−23-22000000000000000000000023−23000000000000000000000000
χ704-44-4-24-44-4-422-24-22-2200-2-44200000000−2323-220000000000000000000000−2323000000000000000000000000
χ714-44-4-2-2-442222-2-21-11-100-22-22000000−2i32i323−231-100003i−3i3i−3i00000000000i3−i30−33000000000000000000000000
χ724-44-4-2-2-442222-2-21-11-100-22-22000000−2i32i3−23231-10000−3i3i−3i3i00000000000i3−i303−3000000000000000000000000
χ734-44-4-2-2-442222-2-21-11-100-22-220000002i3−2i323−231-10000−3i3i−3i3i00000000000−i3i30−33000000000000000000000000
χ744-44-4-2-2-442222-2-21-11-100-22-220000002i3−2i3−23231-100003i−3i3i−3i00000000000−i3i303−3000000000000000000000000
χ754-4-444400-44-44-4-44-4-44000000000000000000000000000000000000000000004-400000000000000000000
χ764-4-444400-44-44-4-44-4-4400000000000000000000000000000000000000000000-4400000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-444422-2-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ7988-8-8-4-400-44-444422-2-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ808-88-8-4-48-84444-4-42-22-2004-44-40000000000-22000000000000000000000000000000000000000000000000
χ818-8-888-4004-4-88-84-444-4000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-884-44-8-444-4000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-44-4442-2-22000000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-4004-44-4442-2-220000000000000000000000−323232−320000000000000000000000000000000000000000

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