Finite Group Databasebeta

← Group #11887659

Character table — Group #11887659

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444446666888888881212121212121212121212121212121212121212121216161616161616161818242424243636363636363648484848
order12223344666666888836661212121224242424242424242244441212242424244466888812121212121224242424242424241212121212121212224444444448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111-1111-1-111-1-1-1-111-1-1-1-1111111111111-1-11-11-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111111111111111-1-1-1-1111111-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1-111-1
χ51111111111111111111111111111111111-1-111111111111-1-1-111-1-11111-1-11111-1-1-1-111111111-1-1-11-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111-1-111-1-11111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-111-1-11-1-11
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1111111
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111-111-1111-1-1-1-1-1-111
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111111-1-11-1-1111-1-111-1-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-1-1-1-1-111-1-1-11111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-1-1-111-1-1-1-1-111111-11-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111-11-11-1-111-1-1-1-11111-1-1-111-11-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-11-111-1-1111-1-11111-1-1-1-111-1-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-11-1-11111-111-1-1-1111-1-1-1-111
χ17222222-2-222222200002222-2-2-2-200000000222200-2-20000-2-222000022-2-2-2-2000000000000000022000000-200000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-200-2-200002-2220000-2-222-2-20000000000000000-2-2000000200000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22200-2-20000-22-2-2000022-2-2220000000000000000-2-2000000200000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-200-2-2000022-2-20000-2-22222000000000000000022000000-200000000
χ2122222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1220022-1-1-1-1-1-102-1-100220000-1-10000-1-1-1-1-122-1-1-1-1-10020200000000-100-1
χ2222222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-12200-2-2-1-1-1-1-1-102-1-100220000-1-10000-1-1-1-11-2-21111100-20-2000000001001
χ2322222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1-2-20022-1-1-1-1-1-10-21100-2-200001100001111-122-1-1-1-1-100-20-2000000001001
χ2422222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1-2-200-2-2-1-1-1-1-1-10-21100-2-2000011000011111-2-2111110020200000000-100-1
χ2522222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-2111122002-2-1-1111102-1-100-2-20000-1-100001111-1-221-1-11100-20200000000100-1
χ2622222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-22-1-1111102-1-100-2-20000-1-10000111112-2-111-1-10020-200000000-1001
χ2722222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2002-2-1-111110-21100220000110000-1-1-1-1-1-221-1-1110020-200000000-1001
χ2822222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-200-22-1-111110-21100220000110000-1-1-1-112-2-111-1-100-20200000000100-1
χ292222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-12222002222-1-1-1-1-1-120002200-1-1-1-100-1-1-1-100002-1-12-1-1-1-100020200000000-1-10
χ302222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-122220022-2-2-1-1-1-1-1-120002200-1-1-1-100-1-1-1-10000-211-21111000-20-200000000110
χ312222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-222-1-1-1-1-1-1-2000-2-200111100111100002-1-12-1-1-1-1000-20-200000000110
χ322222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-2-2-2-1-1-1-1-1-1-2000-2-20011110011110000-211-2111100020200000000-1-10
χ332222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200222-2-1-111112000-2-200-1-1-1-1001111000021-1-2-1-11100020-2000000001-10
χ342222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-20022-22-1-111112000-2-200-1-1-1-10011110000-2-11211-1-1000-20200000000-110
χ352222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-22-2-1-11111-20002200111100-1-1-1-1000021-1-2-1-111000-20200000000-110
χ362222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-2-22-1-11111-20002200111100-1-1-1-10000-2-11211-1-100020-2000000001-10
χ3722-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22-22-2000022−2−2002-22−22−22-2000022−2−222−2−2000000002-20000000002−20000
χ3822-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22-2-22000022−2−2002-2−222−2-220000−2−22222−2−200000000-22000000000−220000
χ3922-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2-222-2000022−2−200-222−2−222-2000022−2−2−2−22200000000-22000000000−220000
χ4022-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2-22-22000022−2−200-22−22−22-220000−2−222−2−222000000002-20000000002−20000
χ4122-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222-22-20000−2−222002-2−22−222-20000−2−222−2−222000000002-2000000000−220000
χ4222-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222-2-220000−2−222002-22−2−22-22000022−2−2−2−22200000000-220000000002−20000
χ4322-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222-222-20000−2−22200-22−222−22-20000−2−22222−2−200000000-220000000002−20000
χ4422-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222-22-220000−2−22200-222−22−2-22000022−2−222−2−2000000002-2000000000−220000
χ452-2-22222-2-2-2-22-222i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i2i−2i0000000000000000000000000000000000002i−2i02-2000000
χ462-2-22222-2-2-2-22-222i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i2i−2i000000000000000000000000000000000000−2i2i0-22000000
χ472-2-22222-2-2-2-22-22−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i−2i2i0000000000000000000000000000000000002i−2i0-22000000
χ482-2-22222-2-2-2-22-22−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i−2i2i000000000000000000000000000000000000−2i2i02-2000000
χ4944444-2-4-4-24-244-20000-2-2-2-22-4-42000000004400002200000-4-2-20000000022000000000000000000000000000000000
χ5044444-2-4-4-24-244-20000-2-2-2-22-4-4200000000-4-40000220000042200000000-2-2000000000000000000000000000000000
χ514444-24-4-44-24-2-240000-2-2-2-2-422-400000000004400220000-40000000-2-22200000000000000000000000000000000000
χ524444-24-4-44-24-2-240000-2-2-2-2-422-40000000000-4-4002200004000000022-2-200000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000441111110000000000000000000000-2-2-2-2111100000000000000000
χ544444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000-4-411111100000000000000000000002222-1-1-1-100000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200004-411-1-1-1-10000000000000000000000-22-2211-1-100000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000-4411-1-1-1-100000000000000000000002-22-2-1-11100000000000000000
χ5744-4-44-200-242-4-422222−22−22-2-22200002222−22−22−2−2224-4000000−2−22200-220022−220000000000−2−2220000000000000000000000000
χ5844-4-44-200-242-4-422222−22−22-2-22200002222−22−22−2−222-44000000−2−222002-200−2222000000000022−2−20000000000000000000000000
χ5944-4-44-200-242-4-42−22−222222-2-2220000−22−22222222−2−24-400000022−2−200-2200−2222000000000022−2−20000000000000000000000000
χ6044-4-44-200-242-4-42−22−222222-2-2220000−22−22222222−2−2-4400000022−2−2002-20022−220000000000−2−2220000000000000000000000000
χ6144-4-4-24004-2-422-42222−22−22-2-2220000−2−2222222−22−22004-40000−2−222000022−2200-220000−2−22200000000000000000000000000000
χ6244-4-4-24004-2-422-42222−22−22-2-2220000−2−2222222−22−2200-440000−2−2220000−2222002-2000022−2−200000000000000000000000000000
χ6344-4-4-24004-2-422-4−22−222222-2-222000022−2−2−22−222222004-4000022−2−20000−222200-22000022−2−200000000000000000000000000000
χ6444-4-4-24004-2-422-4−22−222222-2-222000022−2−2−22−22222200-44000022−2−2000022−22002-20000−2−22200000000000000000000000000000
χ654-44-44400-4-44-44-4−2i22i22i2−2i24-44-40000−2i22i22i2−2i2−2i22i22i2−2i200000000−2i22i22i2−2i200000000000000000000000000000000000000000000000
χ664-44-44400-4-44-44-42i2−2i2−2i22i24-44-400002i2−2i2−2i22i22i2−2i2−2i22i2000000002i2−2i2−2i22i200000000000000000000000000000000000000000000000
χ674-44-44-2002-4-2-442−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i200000000i2−i2−i2i200000000000023−230000i6−i6i6−i60000000000000000000000000
χ684-44-44-2002-4-2-442−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i200000000i2−i2−i2i2000000000000−23230000−i6i6−i6i60000000000000000000000000
χ694-44-44-2002-4-2-4422i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i200000000−i2i2i2−i200000000000023−230000−i6i6−i6i60000000000000000000000000
χ704-44-44-2002-4-2-4422i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i200000000−i2i2i2−i2000000000000−23230000i6−i6i6−i60000000000000000000000000
χ714-44-4-2400-4242-2-4−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i200000000i2−i2−i2i20000000000−2i32i3006−66−600000000000000000000000000000
χ724-44-4-2400-4242-2-4−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i200000000i2−i2−i2i200000000002i3−2i300−66−6600000000000000000000000000000
χ734-44-4-2400-4242-2-42i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i200000000−i2i2i2−i20000000000−2i32i300−66−6600000000000000000000000000000
χ744-44-4-2400-4242-2-42i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i200000000−i2i2i2−i200000000002i3−2i3006−66−600000000000000000000000000000
χ754-4-4444-44-4-4-44-4400004-4-44-44-4400000000000000-44000000000000000000000000000000000000000000000000000
χ764-4-444-24-42-424-4-24i−4i4i−4i-222-2-2-4424i−4i4i−4i−2i2i−2i2i000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000
χ774-4-444-24-42-424-4-2−4i4i−4i4i-222-2-2-442−4i4i−4i4i2i−2i2i−2i000000-222i−2i2i−2i00000000000000000000000000000000000000000000000
χ784-4-444-2-442-424-4-20000-222-224-4-2000000000000002-20000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ794-4-444-2-442-424-4-20000-222-224-4-2000000000000002-200000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ804-4-44-244-4-42-4-2244i−4i4i−4i-222-242-2-4−2i2i−2i2i4i−4i4i−4i000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000
χ814-4-44-244-4-42-4-224−4i4i−4i4i-222-242-2-42i−2i2i−2i−4i4i−4i4i000000-222i−2i2i−2i00000000000000000000000000000000000000000000000
χ824-4-44-24-44-42-4-2240000-222-2-4-224000000000000002-200000000000000000023−23−232300000000000000000000000000000
χ834-4-44-24-44-42-4-2240000-222-2-4-224000000000000002-2000000000000000000−232323−2300000000000000000000000000000
χ844-4-44-2-24-4222-22-24i−4i4i−4i1-1-11-22-22−2i2i−2i2i−2i2i−2i2i0000001-1i−ii−i000000000000000000000000003i−3i3-300000000000000000
χ854-4-44-2-24-4222-22-24i−4i4i−4i1-1-11-22-22−2i2i−2i2i−2i2i−2i2i0000001-1i−ii−i00000000000000000000000000−3i3i-3300000000000000000
χ864-4-44-2-24-4222-22-2−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i0000001-1−ii−ii000000000000000000000000003i−3i-3300000000000000000
χ874-4-44-2-24-4222-22-2−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i0000001-1−ii−ii00000000000000000000000000−3i3i3-300000000000000000
χ888888-4-4-8-8-4-4-4-4-4-400002222444400000000000000-2-2000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-444444242−42−4222-2-20000−22−222222−22−2222220000000022−2−200000000000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444−42−42424222-2-200002222−22−222222−22−2200000000−2−22200000000000000000000000000000000000000000000000
χ918-88-8-4-40044-44-44−4i24i24i2−4i22-22-200002i2−2i2−2i22i22i2−2i2−2i22i200000000−i2i2i2−i200000000000000000000000000000000000000000000000
χ928-88-8-4-40044-44-444i2−4i2−4i24i22-22-20000−2i22i22i2−2i2−2i22i22i2−2i200000000i2−i2−i2i200000000000000000000000000000000000000000000000
χ938-8-88-4-4-88444-44-400002-2-224-44-400000000000000-22000000000000000000000000000000000000000000000000000

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