Finite Group Databasebeta

← Group #11824435

Character table — Group #11824435

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order12222222336666666666666634466666662266666666666666661212121212121212222244444444444444444444666612121212121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1
χ91111111111111111111111111-1-111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11-1
χ101111111111111111111111111-1-111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-11
χ111111111111111111111111111-1-111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ121111111111111111111111111-1-111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1111-1
χ131111111111111111111111111-1-11111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ141111111111111111111111111-1-11111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-11-1
χ151111111111111111111111111-1-11111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1
χ161111111111111111111111111-1-11111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11
χ17222222222-1222-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100220000222200220000000000-1-1000000-1-1-1-1-1-100
χ18222222222-1222-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-20000-2-2-2-200-2-200000000001100000011111100
χ19222222222-1222-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211-2-2111111111122-1-1-1-1-1-100220000-2-2-2-200220000000000-1-1000000-1-1111100
χ20222222222-1222-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211-2-2111111111122-1-1-1-1-1-100-2-20000222200-2-200000000001100000011-1-1-1-100
χ21222222222-1222-1-1-12-1222-1-1-1-1-2-2-1-1-1-1-1-1-12-222-1-1-2-211-1-1-1-11111-2-21111110022000022-2-200-2-20000000000-1-100000011-1-11100
χ22222222222-1222-1-1-12-1222-1-1-1-1-2-2-1-1-1-1-1-1-12-222-1-1-2-211-1-1-1-11111-2-211111100-2-20000-2-2220022000000000011000000-1-111-1-100
χ23222222222-1222-1-1-12-1222-1-1-1-1-2-2-1-1-1-1-1-1-1-22-2-21122-1-11111-1-1-1-1-2-211111100220000-2-22200-2-20000000000-1-10000001111-1-100
χ24222222222-1222-1-1-12-1222-1-1-1-1-2-2-1-1-1-1-1-1-1-22-2-21122-1-11111-1-1-1-1-2-211111100-2-2000022-2-20022000000000011000000-1-1-1-11100
χ2522222222-12-1-1-1222-12-1-1-1222-122-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1220022220000220000000000-1-100-1-1-1-1-1-100000000
χ2622222222-12-1-1-1222-12-1-1-1222-122-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-2-2-20000-2-20000000000110011111100000000
χ2722222222-12-1-1-1222-12-1-1-1222-122-1-1-1-1-1-1-1-2-211-2-211-2-211111111-1-122-1-1-1-12200-2-2-2-20000220000000000-1-100-1-1111100000000
χ2822222222-12-1-1-1222-12-1-1-1222-122-1-1-1-1-1-1-1-2-211-2-211-2-211111111-1-122-1-1-1-1-2-20022220000-2-20000000000110011-1-1-1-100000000
χ2922222222-12-1-1-1222-12-1-1-1222-1-2-2-1-1-1-1-1-1-12-2-1-12211-2-2-1-1-1-1111111-2-21111220022-2-20000-2-20000000000-1-10011-1-11100000000
χ3022222222-12-1-1-1222-12-1-1-1222-1-2-2-1-1-1-1-1-1-12-2-1-12211-2-2-1-1-1-1111111-2-21111-2-200-2-22200002200000000001100-1-111-1-100000000
χ3122222222-12-1-1-1222-12-1-1-1222-1-2-2-1-1-1-1-1-1-1-2211-2-2-1-1221111-1-1-1-111-2-211112200-2-2220000-2-20000000000-1-1001111-1-100000000
χ3222222222-12-1-1-1222-12-1-1-1222-1-2-2-1-1-1-1-1-1-1-2211-2-2-1-1221111-1-1-1-111-2-21111-2-20022-2-200002200000000001100-1-1-1-11100000000
χ33222-2-2-22-222222222-2-2-2-2-2-2-2-2200222-2-2-2-2000000000000000000000000000000000000002i−2i2i−2i22-2-2000000002i−2i00002i−2i000000
χ34222-2-2-22-222222222-2-2-2-2-2-2-2-2200222-2-2-2-2000000000000000000000000000000000000002i−2i−2i2i-2-222000000002i−2i0000−2i2i000000
χ35222-2-2-22-222222222-2-2-2-2-2-2-2-2200222-2-2-2-200000000000000000000000000000000000000−2i2i2i−2i-2-22200000000−2i2i00002i−2i000000
χ36222-2-2-22-222222222-2-2-2-2-2-2-2-2200222-2-2-2-200000000000000000000000000000000000000−2i2i−2i2i22-2-200000000−2i2i0000−2i2i000000
χ3722-2-22-2-22222-2-22-2-2-2-222-222-22002-2-222-2-2000000000000000000000000000000002-22-2000000000022-2-2000000002-2002-20000
χ3822-2-22-2-22222-2-22-2-2-2-222-222-22002-2-222-2-2000000000000000000000000000000002-2-220000000000-2-222000000002-200-220000
χ3922-2-22-2-22222-2-22-2-2-2-222-222-22002-2-222-2-200000000000000000000000000000000-222-20000000000-2-22200000000-22002-20000
χ4022-2-22-2-22222-2-22-2-2-2-222-222-22002-2-222-2-200000000000000000000000000000000-22-22000000000022-2-200000000-2200-220000
χ412-22-2-22-2222-22-2-22-2-2-22-222-22200-22-22-22-20000000000000000000000000000002-200002-2000000002-22-20000002-20000002-200
χ422-22-2-22-2222-22-2-22-2-2-22-222-22200-22-22-22-20000000000000000000000000000002-20000-2200000000-22-220000002-2000000-2200
χ432-22-2-22-2222-22-2-22-2-2-22-222-22200-22-22-22-2000000000000000000000000000000-2200002-200000000-22-22000000-220000002-200
χ442-22-2-22-2222-22-2-22-2-2-22-222-22200-22-22-22-2000000000000000000000000000000-220000-22000000002-22-2000000-22000000-2200
χ452-2-22-2-22222-2-22-2-22222-2-22-2-222-2-2-222-2-220000000000000000002-22-222-2-200000000000000002-22-22-2-22000000000000000000
χ462-2-22-2-22222-2-22-2-22222-2-22-2-222-2-2-222-2-220000000000000000002-22-222-2-20000000000000000-22-22-222-2000000000000000000
χ472-2-22-2-22222-2-22-2-22222-2-22-2-22-22-2-222-2-22000000000000000000-22-22-2-22200000000000000002-22-2-222-2000000000000000000
χ482-2-22-2-22222-2-22-2-22222-2-22-2-22-22-2-222-2-22000000000000000000-22-22-2-2220000000000000000-22-222-2-22000000000000000000
χ492-2-2-2222-222-2-22-2-22-2-2-222-222200-2-22-222-2000000000000000000000000002-22-20000000000002-2-2200002-22-200000000000000
χ502-2-2-2222-222-2-22-2-22-2-2-222-222200-2-22-222-2000000000000000000000000002-2-22000000000000-222-200002-2-2200000000000000
χ512-2-2-2222-222-2-22-2-22-2-2-222-222200-2-22-222-200000000000000000000000000-222-2000000000000-222-20000-222-200000000000000
χ522-2-2-2222-222-2-22-2-22-2-2-222-222200-2-22-222-200000000000000000000000000-22-220000000000002-2-220000-22-2200000000000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111111144-2-2-2-2-2-2-2-211111111-2-2-2-21111000000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-422222222-1-1-1-1-1-1-1-1-2-2-2-21111000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-4-2-2-2-222221111-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-442222-2-2-2-2-1-1-1-111112222-1-1-1-1000000000000000000000000000000000000000000
χ57444-4-4-44-44-2444-2-2-2-42-4-4-4222-200-2-2-2222200000000000000000000000000000000000000004i−4i000000000000000000−2i2i000000
χ58444-4-4-44-44-2444-2-2-2-42-4-4-4222-200-2-2-222220000000000000000000000000000000000000000−4i4i0000000000000000002i−2i000000
χ59444-4-4-44-4-24-2-2-24442-4222-4-4-4-200-2-2-22222000000000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ60444-4-4-44-4-24-2-2-24442-4222-4-4-4-200-2-2-2222200000000000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ6144-44-44-4-4444-4-44-4-444-4-44-4-444004-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ6244-44-44-4-44-24-4-4-2224-2-4-4422-2-200-22222-2-200000000−2i32i30000−2i3−2i32i32i300000000000000000000000000000000000000000000000000
χ6344-44-44-4-44-24-4-4-2224-2-4-4422-2-200-22222-2-2000000002i3−2i300002i32i3−2i3−2i300000000000000000000000000000000000000000000000000
χ6444-44-44-4-4-24-2224-4-4-2422-2-4-44-200-22222-2-200−2i32i3000000−2i3−2i32i32i3000000000000000000000000000000000000000000000000000000
χ6544-44-44-4-4-24-2224-4-4-2422-2-4-44-200-22222-2-2002i3−2i30000002i32i3−2i3−2i3000000000000000000000000000000000000000000000000000000
χ6644-44-44-4-4-2-2-222-222-2-222-222-21001-1-1-1-11100−2i32i30000−2i32i3i3i3−i3−i3i3i3−i3−i300003-33-3000000000000000000000000000000000000000000
χ6744-44-44-4-4-2-2-222-222-2-222-222-21001-1-1-1-11100−2i32i300002i3−2i3i3i3−i3−i3−i3−i3i3i30000-33-33000000000000000000000000000000000000000000
χ6844-44-44-4-4-2-2-222-222-2-222-222-21001-1-1-1-111002i3−2i30000−2i32i3−i3−i3i3i3i3i3−i3−i30000-33-33000000000000000000000000000000000000000000
χ6944-44-44-4-4-2-2-222-222-2-222-222-21001-1-1-1-111002i3−2i300002i3−2i3−i3−i3i3i3−i3−i3i3i300003-33-3000000000000000000000000000000000000000000
χ7044-4-44-4-444-24-4-4-222-4244-4-2-22-200-222-2-22200000000000000000000000000000000004-400000000000000000000000000-220000
χ7144-4-44-4-444-24-4-4-222-4244-4-2-22-200-222-2-2220000000000000000000000000000000000-44000000000000000000000000002-20000
χ7244-4-44-4-44-24-2224-4-42-4-2-2244-4-200-222-2-222000000000000000000000000000000004-4000000000000000000000000-2200000000
χ7344-4-44-4-44-24-2224-4-42-4-2-2244-4-200-222-2-22200000000000000000000000000000000-440000000000000000000000002-200000000
χ744-4444-4-4-444-44-4-44-444-44-4-44-4400-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ754-4444-4-4-44-2-44-42-224-2-44-42-22-2002-222-22-20000−2i32i30000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000
χ764-4444-4-4-44-2-44-42-224-2-44-42-22-2002-222-22-200002i3−2i300002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000
χ774-4444-4-4-4-242-22-44-4-242-22-44-4-2002-222-22-2000000−2i32i3000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000
χ784-4444-4-4-4-242-22-44-4-242-22-44-4-2002-222-22-20000002i3−2i30000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000
χ794-4444-4-4-4-2-22-222-22-2-22-222-22100-11-1-11-110000−2i32i3−2i32i300i3−i3i3−i3i3−i3i3−i300003-3-33000000000000000000000000000000000000000000
χ804-4444-4-4-4-2-22-222-22-2-22-222-22100-11-1-11-110000−2i32i32i3−2i300i3−i3i3−i3−i3i3−i3i30000-333-3000000000000000000000000000000000000000000
χ814-4444-4-4-4-2-22-222-22-2-22-222-22100-11-1-11-1100002i3−2i3−2i32i300−i3i3−i3i3i3−i3i3−i30000-333-3000000000000000000000000000000000000000000
χ824-4444-4-4-4-2-22-222-22-2-22-222-22100-11-1-11-1100002i3−2i32i3−2i300−i3i3−i3i3−i3i3−i3i300003-3-33000000000000000000000000000000000000000000
χ834-44-4-44-444-2-44-42-22-424-44-22-2-2002-22-22-220000000000000000000000000000000000004-400000000000000000000000000-2200
χ844-44-4-44-444-2-44-42-22-424-44-22-2-2002-22-22-22000000000000000000000000000000000000-44000000000000000000000000002-200
χ854-44-4-44-44-242-22-44-42-4-22-24-44-2002-22-22-220000000000000000000000000000004-4000000000000000000000000-220000000000
χ864-44-4-44-44-242-22-44-42-4-22-24-44-2002-22-22-22000000000000000000000000000000-440000000000000000000000002-20000000000
χ874-4-44-4-4444-2-4-4422-24-24-4-4-222-24-422-2-222-20000000000000000004-4-22-2-222000000000000000000000000000000000000000000
χ884-4-44-4-4444-2-4-4422-24-24-4-4-222-2-4422-2-222-2000000000000000000-442-222-2-2000000000000000000000000000000000000000000
χ894-4-44-4-444-2422-2-4-44-24-2224-4-4-24-422-2-222-2000000000000000000-224-4-2-222000000000000000000000000000000000000000000
χ904-4-44-4-444-2422-2-4-44-24-2224-4-4-2-4422-2-222-20000000000000000002-2-4422-2-2000000000000000000000000000000000000000000
χ914-4-44-4-444-2-222-222-2-2-2-222-22214-4-1-111-1-1100000000003-3-333-3-33-22-2211-1-1000000000000000000000000000000000000000000
χ924-4-44-4-444-2-222-222-2-2-2-222-22214-4-1-111-1-110000000000-333-3-333-3-22-2211-1-1000000000000000000000000000000000000000000
χ934-4-44-4-444-2-222-222-2-2-2-222-2221-44-1-111-1-1100000000003-3-33-333-32-22-2-1-111000000000000000000000000000000000000000000
χ944-4-44-4-444-2-222-222-2-2-2-222-2221-44-1-111-1-110000000000-333-33-3-332-22-2-1-111000000000000000000000000000000000000000000
χ954-4-4-4444-44-2-4-4422-2-42-4442-2-2-20022-22-2-2200000000000000000000000000004-40000000000000000000000-2200000000000000
χ964-4-4-4444-44-2-4-4422-2-42-4442-2-2-20022-22-2-220000000000000000000000000000-4400000000000000000000002-200000000000000
χ974-4-4-4444-4-2422-2-4-442-42-2-2-444-20022-22-2-22000000000000000000000000004-40000000000000000000000-220000000000000000
χ984-4-4-4444-4-2422-2-4-442-42-2-2-444-20022-22-2-2200000000000000000000000000-4400000000000000000000002-20000000000000000
χ99888-8-8-88-8-4-4-4-4-4-4-4-444444444200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-8-88-4-4-444-44444-4-44-4-442002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-88-88-4-44-444-4444-44-4-44-4200-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8888-8-4-444-444-4444-4-44-4-4200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000

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