Finite Group Databasebeta

← Group #11810331

Character table — Group #11810331

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order122222223366666666666666222236666666666666662222444446666666666661212121212121212224444446666666612121212121212124412121212121212124444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ511111111111111111111111111-1-111111-1-1-1-1111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1
χ611111111111111111111111111-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-111-1-11
χ711111111111111111111111111-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-11-1-111-1-1-1-1-1-111-1-11
χ811111111111111111111111111-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-111-1
χ9111111111111111111111111-1-1111-1-1-1-11111111111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1
χ10111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-11
χ11111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-1-1-1-11
χ12111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1
χ13111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111
χ14111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11111-1-11111-1-1-1
χ15111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1111111-1-1-1
χ16111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111
χ17222222222-12222-1-1-1-1-122-1-122222-12222-1-1-1-1-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220000-1-1-1-1-1-1-1-10000000002-1-1-1-100000000000
χ18222222222-12222-1-1-1-1-122-1-122222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2000011111111000000000-2111100000000000
χ19222222222-12222-1-1-1-1-122-1-1222-2-2-122221111-1-1-1-1-1-1-122220000-2-2-2-1-1-1-1-1-1111111-2-21111-2-2220000-1-1-1-11111000000000-2-1-11100000000000
χ20222222222-12222-1-1-1-1-122-1-1222-2-2-122221111-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-1-1-1-1-1-1111111-2-2111122-2-200001111-1-1-1-1000000000211-1-100000000000
χ21222222222-12222-1-1-1-1-122-1-12-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000-222111111-1-1-1-111-2-2111122-2-20000-1-1-1-1-1-1-1-1000000000-2111100000000000
χ22222222222-12222-1-1-1-1-122-1-12-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-222111111-1-1-1-111-2-21111-2-2220000111111110000000002-1-1-1-100000000000
χ23222222222-12222-1-1-1-1-122-1-12-2-2-2-2-1-2-2-2-21111-1-1-1-1-1-1-1222200002-2-21111111111-1-122-1-1-1-1-2-2-2-20000-1-1-1-11111000000000211-1-100000000000
χ24222222222-12222-1-1-1-1-122-1-12-2-2-2-2-1-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-200002-2-21111111111-1-122-1-1-1-1222200001111-1-1-1-1000000000-2-1-11100000000000
χ2522222222-12-1-1-1-122222-1-122-12222-1-1-1-1-12222-1-1-1-1-1-1-1000022222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1200000-1-1-1-10000000
χ2622222222-12-1-1-1-122222-1-122-12222-1-1-1-1-12222-1-1-1-1-1-1-10000-2-2-2-22-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000011111111-20000011110000000
χ2722222222-12-1-1-1-122222-1-122-122-2-2-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-100002222-21122-1-1-1-11111-2-21111110000-2-22200000000-1-1-1-1-1-1-1-1-20000011110000000
χ2822222222-12-1-1-1-122222-1-122-122-2-2-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-10000-2-2-2-2-21122-1-1-1-11111-2-2111111000022-2-20000000011111111200000-1-1-1-10000000
χ2922222222-12-1-1-1-122222-1-122-1-2-222-111112222-1-1-1-1-1-1-100002222-2-1-1-2-21111-1-1-1-1-2-2111111000022-2-200000000-1-1-1-11111-200000-1-1110000000
χ3022222222-12-1-1-1-122222-1-122-1-2-222-111112222-1-1-1-1-1-1-10000-2-2-2-2-2-1-1-2-21111-1-1-1-1-2-21111110000-2-222000000001111-1-1-1-120000011-1-10000000
χ3122222222-12-1-1-1-122222-1-122-1-2-2-2-2-11111-2-2-2-2-1-1-1-1-1-1-100002222211-2-21111111122-1-1-1-1-1-10000-2-2-2-200000000-1-1-1-1111120000011-1-10000000
χ3222222222-12-1-1-1-122222-1-122-1-2-2-2-2-11111-2-2-2-2-1-1-1-1-1-1-10000-2-2-2-2211-2-21111111122-1-1-1-1-1-100002222000000001111-1-1-1-1-200000-1-1110000000
χ33222-2-22-2-22222-2-222-2-2-22-22-2-20000200000000222-2-2-2-200002i2i−2i−2i0000000000000000000002-2000000000022-2-22i2i−2i−2i00000000000000002i−2i000
χ34222-2-22-2-22222-2-222-2-2-22-22-2-20000200000000222-2-2-2-200002i2i−2i−2i000000000000000000000-220000000000-2-2222i2i−2i−2i0000000000000000−2i2i000
χ35222-2-22-2-22222-2-222-2-2-22-22-2-20000200000000222-2-2-2-20000−2i−2i2i2i0000000000000000000002-2000000000022-2-2−2i−2i2i2i0000000000000000−2i2i000
χ36222-2-22-2-22222-2-222-2-2-22-22-2-20000200000000222-2-2-2-20000−2i−2i2i2i000000000000000000000-220000000000-2-222−2i−2i2i2i00000000000000002i−2i000
χ3722-22-2-22-2222-22-22-22-2-2-22-22-200002000000002-2-222-2-222-2-200000000000000000000000000000002i−2i22-2-2000000002i2i−2i−2i00000000002i−2i00000
χ3822-22-2-22-2222-22-22-22-2-2-22-22-200002000000002-2-222-2-222-2-20000000000000000000000000000000−2i2i22-2-200000000−2i−2i2i2i0000000000−2i2i00000
χ3922-22-2-22-2222-22-22-22-2-2-22-22-200002000000002-2-222-2-2-2-22200000000000000000000000000000002i−2i-2-222000000002i2i−2i−2i0000000000−2i2i00000
χ4022-22-2-22-2222-22-22-22-2-2-22-22-200002000000002-2-222-2-2-2-2220000000000000000000000000000000−2i2i-2-22200000000−2i−2i2i2i00000000002i−2i00000
χ412-2222-2-2-222-2-222-22-22-22-2-22-20000200000000-22-22-22-22-22-22i−2i2i−2i000000000000000000000000000002-22-200002i−2i2i−2i0000000000000000002i−2i0
χ422-2222-2-2-222-2-222-22-22-22-2-22-20000200000000-22-22-22-22-22-2−2i2i−2i2i000000000000000000000000000002-22-20000−2i2i−2i2i000000000000000000−2i2i0
χ432-2222-2-2-222-2-222-22-22-22-2-22-20000200000000-22-22-22-2-22-222i−2i2i−2i00000000000000000000000000000-22-2200002i−2i2i−2i000000000000000000−2i2i0
χ442-2222-2-2-222-2-222-22-22-22-2-22-20000200000000-22-22-22-2-22-22−2i2i−2i2i00000000000000000000000000000-22-220000−2i2i−2i2i0000000000000000002i−2i0
χ452-22-2-2-22222-2-2-2-2-222-2222-2-22002-22000022-2-2-22-2-22-2200002-2-2202-200000022-2-20000000000002-200000000002-2-2200000000002-2000000000
χ462-22-2-2-22222-2-2-2-2-222-2222-2-22002-22000022-2-2-22-2-22-220000-222-202-200000022-2-2000000000000-220000000000-222-20000000000-22000000000
χ472-22-2-2-22222-2-2-2-2-222-2222-2-2200-2220000-2-222-22-2-22-2200002-2-220-22000000-2-222000000000000-2200000000002-2-220000000000-22000000000
χ482-22-2-2-22222-2-2-2-2-222-2222-2-2200-2220000-2-222-22-2-22-220000-222-20-22000000-2-2220000000000002-20000000000-222-200000000002-2000000000
χ492-22-2-2-222-121111-222-22-1-1-2-2-1002-2-1−i3−i3i3i322-2-21-111-11-100002-2-220-1100−i3−i3i3i3-1-11100−i3i3−i3−i3i3i300002-20000000000-111-1−i3i3−i3i3000000-11−i3i30000000
χ502-22-2-2-222-121111-222-22-1-1-2-2-1002-2-1−i3−i3i3i322-2-21-111-11-10000-222-20-1100−i3−i3i3i3-1-11100−i3i3−i3−i3i3i30000-2200000000001-1-11i3−i3i3−i30000001-1i3−i30000000
χ512-22-2-2-222-121111-222-22-1-1-2-2-1002-2-1i3i3−i3−i322-2-21-111-11-100002-2-220-1100i3i3−i3−i3-1-11100i3−i3i3i3−i3−i300002-20000000000-111-1i3−i3i3−i3000000-11i3−i30000000
χ522-22-2-2-222-121111-222-22-1-1-2-2-1002-2-1i3i3−i3−i322-2-21-111-11-10000-222-20-1100i3i3−i3−i3-1-11100i3−i3i3i3−i3−i30000-2200000000001-1-11−i3i3−i3i30000001-1−i3i30000000
χ532-22-2-2-222-121111-222-22-1-1-2-2-100-22-1−i3−i3i3i3-2-2221-111-11-100002-2-2201-100−i3−i3i3i311-1-100i3−i3i3i3−i3−i30000-220000000000-111-1−i3i3−i3i30000001-1i3−i30000000
χ542-22-2-2-222-121111-222-22-1-1-2-2-100-22-1−i3−i3i3i3-2-2221-111-11-10000-222-201-100−i3−i3i3i311-1-100i3−i3i3i3−i3−i300002-200000000001-1-11i3−i3i3−i3000000-11−i3i30000000
χ552-22-2-2-222-121111-222-22-1-1-2-2-100-22-1i3i3−i3−i3-2-2221-111-11-100002-2-2201-100i3i3−i3−i311-1-100−i3i3−i3−i3i3i30000-220000000000-111-1i3−i3i3−i30000001-1−i3i30000000
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χ582-2-22-22-2222-222-2-2-2-2-22-2-22222-20022-22-20000-2-222-2-22-222-200000002-22-22-200000000000000-220000-222-200000000000000-220000000000000
χ592-2-22-22-2222-222-2-2-2-2-22-2-2222-22002-22-220000-2-222-2-222-2-220000000-22-22-2200000000000000-2200002-2-2200000000000000-220000000000000
χ602-2-22-22-2222-222-2-2-2-2-22-2-2222-22002-22-220000-2-222-2-22-222-20000000-22-22-22000000000000002-20000-222-2000000000000002-20000000000000
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χ8644-4-44-4-44-2-2-222-2-222-2-22222-200001−2i32i32i3−2i3−2i32i32i3−2i31-1-1-1-1110000000000000i3−i3−i3i3i3−i3−i3i30000-333-300000000000000000000000000000000000000000
χ8744-4-44-4-44-2-2-222-2-222-2-22222-200001−2i32i32i3−2i32i3−2i3−2i32i31-1-1-1-1110000000000000i3−i3−i3i3−i3i3i3−i300003-3-3300000000000000000000000000000000000000000
χ8844-4-44-4-44-2-2-222-2-222-2-22222-2000012i3−2i3−2i32i3−2i32i32i3−2i31-1-1-1-1110000000000000−i3i3i3−i3i3−i3−i3i300003-3-3300000000000000000000000000000000000000000
χ8944-4-44-4-44-2-2-222-2-222-2-22222-2000012i3−2i3−2i32i32i3−2i3−2i32i31-1-1-1-1110000000000000−i3i3i3−i3−i3i3i3−i30000-333-300000000000000000000000000000000000000000
χ904-4444-4-4-44-2-4-4442-22-224-42-2-40000-2000000002-22-22-224-44-4000000000000000000000000000000000-22-2200000000000000000000000000000
χ914-4444-4-4-44-2-4-4442-22-224-42-2-40000-2000000002-22-22-22-44-440000000000000000000000000000000002-22-200000000000000000000000000000
χ924-4444-4-4-4-2422-2-2-44-44-4-22-4420000-2000000002-22-22-2200004i−4i4i−4i0000000000000000000000000000000000000−2i2i−2i2i000000000000000000000
χ934-4444-4-4-4-2422-2-2-44-44-4-22-4420000-2000000002-22-22-220000−4i4i−4i4i00000000000000000000000000000000000002i−2i2i−2i000000000000000000000
χ944-44-4-4-4444-2-4-4-4-42-2-22-244224004-4-20000-2-2222-222-22-20000000004-4000000-2-2220000000000000000000000000000000000000000000000000
χ954-44-4-4-4444-2-4-4-4-42-2-22-24422400-44-2000022-2-22-222-22-2000000000-4400000022-2-20000000000000000000000000000000000000000000000000
χ964-44-4-4-444-2-222222-2-22-2-2-222-2004-41−2i3−2i32i32i3-2-222-11-1-11-11000000000-2200i3i3−i3−i311-1-100−2i32i3i3i3−i3−i300000000000000000000000000000000000000000
χ974-44-4-4-444-2-222222-2-22-2-2-222-2004-412i32i3−2i3−2i3-2-222-11-1-11-11000000000-2200−i3−i3i3i311-1-1002i3−2i3−i3−i3i3i300000000000000000000000000000000000000000
χ984-44-4-4-444-2-222222-2-22-2-2-222-200-441−2i3−2i32i32i322-2-2-11-1-11-110000000002-200i3i3−i3−i3-1-111002i3−2i3−i3−i3i3i300000000000000000000000000000000000000000
χ994-44-4-4-444-2-222222-2-22-2-2-222-200-4412i32i3−2i3−2i322-2-2-11-1-11-110000000002-200−i3−i3i3i3-1-11100−2i32i3i3i3−i3−i300000000000000000000000000000000000000000
χ1004-4-44-44-44-242-2-22-4-4-4-442244-24-400-2-22-22000022-2-222-2000000000004-4-22-2200000000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-242-2-22-4-4-4-442244-2-4400-22-22-2000022-2-222-200000000000-442-22-200000000000000000000000000000000000000000000000000000
χ1024-4-44-44-44-2-22-2-222222-222-2-2-24-4001-22-22−2i32i3−2i32i3-1-111-1-1100000000000-221-11-1i3−i3i3−i3−2i32i300i3−i3i3−i300000000000000000000000000000000000000000
χ1034-4-44-44-44-2-22-2-222222-222-2-2-24-4001-22-222i3−2i32i3−2i3-1-111-1-1100000000000-221-11-1−i3i3−i3i32i3−2i300−i3i3−i3i300000000000000000000000000000000000000000
χ1044-4-44-44-44-2-22-2-222222-222-2-2-2-440012-22-2−2i32i3−2i32i3-1-111-1-11000000000002-2-11-11i3−i3i3−i32i3−2i300−i3i3−i3i300000000000000000000000000000000000000000
χ1054-4-44-44-44-2-22-2-222222-222-2-2-2-440012-22-22i3−2i32i3−2i3-1-111-1-11000000000002-2-11-11−i3i3−i3i3−2i32i300i3−i3i3−i300000000000000000000000000000000000000000
χ1064-4-4-4444-444-44-44-4-444-4-444-4-40000400000000-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-4444-44-2-44-4422-2-22-44-22-40000-20000000022-22-2-2200000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ1084-4-4-4444-44-2-44-4422-2-22-44-22-40000-20000000022-22-2-22000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ1094-4-4-4444-4-242-22-2-4-444-42-24-420000-20000000022-22-2-22000000000000000000000000000000000000000000000000023−23−232300000000000000000
χ1104-4-4-4444-4-242-22-2-4-444-42-24-420000-20000000022-22-2-220000000000000000000000000000000000000000000000000−232323−2300000000000000000
χ111888-8-88-8-8-4-4-4-444-4-4444-44-4440000200000000222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-88-8-4-4-44-44-44-4444-44-4400002000000002-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8888-8-8-8-4-444-4-44-44-44-444-440000200000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-8888-8-4-44-44-444-4-444-4-4440000200000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000

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