Finite Group Databasebeta

← Group #11887405

Character table — Group #11887405

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12222233446666666666344466666666612121212121288884121212121212121212121212121212121212121212228888882424242424242424444424466662424242424121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ91111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-11-111-1
χ101111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-11-111-1-1-1-1111-11-1-11
χ111111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-1111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-11111-1-11-1-11-11
χ121111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-1111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-111-111-11-1
χ131111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-111-1-11
χ141111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11-11-1-111-1-1111-1-111-1
χ151111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-11-1-111-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-11-111-1-111-1-11-11-11-1
χ161111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-11-1-111-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1111-1-1-1-111-11-11-11
χ1722222222-2-222222222222-200222222222-2-2-2-2-2-2000000000-20000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-200222222222-2-2-2-2-2-2000000000-20000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ192222222-1222-1-1-1-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-122-122222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ202222222-1222-1-1-1-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-22-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111111110000-20011110000000000
χ212222222-1222-1-1-1-1-1-1-122-12-2-222-1-1-1-1-1-1-1-1-1-122-12222-211112-2-2-2-2-1-1-1-111111111-2-2002200-1-1-1-1-1-1-1-10000-20011110000000000
χ222222222-1222-1-1-1-1-1-1-122-12-2-222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-211112-2-2-2-2-1-1-1-1111111112200-2-200111111110000200-1-1-1-10000000000
χ23222222-1222-12222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-12000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000000220000-1-1-1-100-1-100
χ24222222-1222-12222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-12000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000000-2-200001111001100
χ25222222-1222-12222222-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-120000-2-2-2-2-2-11111-1-1-1-111111111002200220000000000000-2-20000-1-1-1-1001100
χ26222222-1222-12222222-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-120000-2-2-2-2-2-11111-1-1-1-11111111100-2-200-2-20000000000000220000111100-1-100
χ272222-2-222-2-222-2-2-2-222222200-2-22-2-2-2-222-222-2-2-200000000020000-2-22200000000000000000000000022-2-200000000000-220000
χ282222-2-222-2-222-2-2-2-222222200-2-22-2-2-2-222-222-2-2-200000000020000-2-222000000000000000000000000-2-222000000000002-20000
χ292222-2-22-1222-11111-1-122-1-222-2-2-11111-1-1-11122-12222-2-1-111-222-2-2-1-111-1-1-1-111112200-2-200-1-1-1-111110000-200-1-1110000000000
χ302222-2-22-1222-11111-1-122-1-222-2-2-11111-1-1-11122-1-2-2-2-2-2-1-111-222-2-2-1-111-1-1-1-11111-2-20022001111-1-1-1-1000020011-1-10000000000
χ312222-2-22-1222-11111-1-122-1-2-2-2-2-2-11111-1-1-11122-12222211-1-1-2-2-222-1-1111111-1-1-1-1-2-200-2-200-1-1-1-11111000020011-1-10000000000
χ322222-2-22-1222-11111-1-122-1-2-2-2-2-2-11111-1-1-11122-1-2-2-2-2211-1-1-2-2-222-1-1111111-1-1-1-1220022001111-1-1-1-10000-200-1-1110000000000
χ332222-2-2-1222-12-2-2-2-222-1-1-1-22211-11111-1-12-2-2-1-120000-222-2-21-1-111-1-111-1-1-1-11111002200-2-20000000000000-220000-1-111001-100
χ342222-2-2-1222-12-2-2-2-222-1-1-1-22211-11111-1-12-2-2-1-120000-222-2-21-1-111-1-111-1-1-1-1111100-2-2002200000000000002-2000011-1-100-1100
χ352222-2-2-1222-12-2-2-2-222-1-1-1-2-2-211-11111-1-12-2-2-1-1200002-2-222111-1-1-1-1111111-1-1-1-1002200-2-200000000000002-20000-1-11100-1100
χ362222-2-2-1222-12-2-2-2-222-1-1-1-2-2-211-11111-1-12-2-2-1-1200002-2-222111-1-1-1-1111111-1-1-1-100-2-200220000000000000-22000011-1-1001-100
χ3722-2-200222-2-2-200002-22-2202i−2i00-200002-22002-2-22i2i−2i−2i02i−2i0002i−2i002-2002i2i−2i−2i00002-20000002i2i−2i−2i000000000002-2000000000000
χ3822-2-200222-2-2-200002-22-2202i−2i00-200002-22002-2-2−2i−2i2i2i02i−2i0002i−2i002-2002i2i−2i−2i0000-22000000−2i−2i2i2i00000000000-22000000000000
χ3922-2-200222-2-2-200002-22-220−2i2i00-200002-22002-2-22i2i−2i−2i0−2i2i000−2i2i002-200−2i−2i2i2i0000-220000002i2i−2i−2i00000000000-22000000000000
χ4022-2-200222-2-2-200002-22-220−2i2i00-200002-22002-2-2−2i−2i2i2i0−2i2i000−2i2i002-200−2i−2i2i2i00002-2000000−2i−2i2i2i000000000002-2000000000000
χ4122-2-2002-12-2-21−i3−i3i3i3-112-2-102i−2i001−i3−i3i3i3-11-1−i3i32-212i2i−2i−2i0−ii3−302i−2i00-11−i3i3−i−iii33−3−32-2000000−i−iii33−3−30000000-11−i3i30000000000
χ4222-2-2002-12-2-21−i3−i3i3i3-112-2-102i−2i001−i3−i3i3i3-11-1−i3i32-21−2i−2i2i2i0−ii3−302i−2i00-11−i3i3−i−iii33−3−3-22000000ii−i−i−3−33300000001-1i3−i30000000000
χ4322-2-2002-12-2-21−i3−i3i3i3-112-2-10−2i2i001−i3−i3i3i3-11-1−i3i32-212i2i−2i−2i0i−i−330−2i2i00-11−i3i3ii−i−i−3−333-22000000−i−iii33−3−300000001-1i3−i30000000000
χ4422-2-2002-12-2-21−i3−i3i3i3-112-2-10−2i2i001−i3−i3i3i3-11-1−i3i32-21−2i−2i2i2i0i−i−330−2i2i00-11−i3i3ii−i−i−3−3332-2000000ii−i−i−3−3330000000-11−i3i30000000000
χ4522-2-2002-12-2-21i3i3−i3−i3-112-2-102i−2i001i3i3−i3−i3-11-1i3−i32-212i2i−2i−2i0−ii−3302i−2i00-11i3−i3−i−iii−3−3332-2000000−i−iii−3−3330000000-11i3−i30000000000
χ4622-2-2002-12-2-21i3i3−i3−i3-112-2-102i−2i001i3i3−i3−i3-11-1i3−i32-21−2i−2i2i2i0−ii−3302i−2i00-11i3−i3−i−iii−3−333-22000000ii−i−i33−3−300000001-1−i3i30000000000
χ4722-2-2002-12-2-21i3i3−i3−i3-112-2-10−2i2i001i3i3−i3−i3-11-1i3−i32-212i2i−2i−2i0i−i3−30−2i2i00-11i3−i3ii−i−i33−3−3-22000000−i−iii−3−33300000001-1−i3i30000000000
χ4822-2-2002-12-2-21i3i3−i3−i3-112-2-10−2i2i001i3i3−i3−i3-11-1i3−i32-21−2i−2i2i2i0i−i3−30−2i2i00-11i3−i3ii−i−i33−3−32-2000000ii−i−i33−3−30000000-11i3−i30000000000
χ492-2-222-22200222-22-2-2-2-2-220002-222-22-2-2-2000000−i2i2−i2i20000000000000000000000002−2−i2i22−2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i00000002−22−2000000
χ502-2-222-22200222-22-2-2-2-2-220002-222-22-2-2-2000000−i2i2−i2i2000000000000000000000000−22−i2i2−22−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i0000000−22−22000000
χ512-2-222-22200222-22-2-2-2-2-220002-222-22-2-2-2000000i2−i2i2−i20000000000000000000000002−2i2−i22−2i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i00000002−22−2000000
χ522-2-222-22200222-22-2-2-2-2-220002-222-22-2-2-2000000i2−i2i2−i2000000000000000000000000−22i2−i2−22i2−i2i2−i2i2−i2i2−i22i−2i2i−2i0000000−22−22000000
χ532-2-22-22220022-22-22-2-2-2-22000-222-22-22-2-2000000−i2i2−i2i20000000000000000000000002−2i2−i2−22−i2i2−i2i2i2−i2i2−i2−2i2i2i−2i00000002−2−22000000
χ542-2-22-22220022-22-22-2-2-2-22000-222-22-22-2-2000000−i2i2−i2i2000000000000000000000000−22i2−i22−2−i2i2−i2i2i2−i2i2−i22i−2i−2i2i0000000−222−2000000
χ552-2-22-22220022-22-22-2-2-2-22000-222-22-22-2-2000000i2−i2i2−i20000000000000000000000002−2−i2i2−22i2−i2i2−i2−i2i2−i2i22i−2i−2i2i00000002−2−22000000
χ562-2-22-22220022-22-22-2-2-2-22000-222-22-22-2-2000000i2−i2i2−i2000000000000000000000000−22−i2i22−2i2−i2i2−i2−i2i2−i2i2−2i2i2i−2i0000000−222−2000000
χ574444444-2-4-44-2-2-2-2-2-2-244-2-40044-2-2-2-2-2-2-2222-4-42000000000-400002222000000000000000000000000000000000000000000000
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χ59444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-200004-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ60444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-2-20000-42222-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
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χ664444-4-4-2-244-2-22222-2-2-2-21-4-4-4221-1-1-1-111-222-2-2-20000422-2-2222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ674444-4-4-2-2-4-4-2-22222-2-2-2-21400221-1-1-1-1112-2-2222000000000-20000-1-1113-33-3-33-330000000000000000000000000000000000000
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χ924-4-444-4-2400-244-44-4-4-422-2000-22-2-22-2222000000000000000000000000000000000022−220022−220000000000000000000−22−22000000
χ934-4-444-4-2400-244-44-4-4-422-2000-22-2-22-22220000000000000000000000000000000000−222200−222200000000000000000002−22−2000000
χ944-4-44-444-2004-22-22-222-4-4-2000-44-22-22-222000000−2i22i2−2i22i2000000000000000000000000002i2−2i200i2−i2i2−i2−i2i2−i2i2000000000000000000000
χ954-4-44-444-2004-22-22-222-4-4-2000-44-22-22-2220000002i2−2i22i2−2i200000000000000000000000000−2i22i200−i2i2−i2i2i2−i2i2−i2000000000000000000000
χ964-4-44-44-2400-24-44-44-4-422-20002-2-22-22-222000000000000000000000000000000000022−2200−22220000000000000000000−222−2000000
χ974-4-44-44-2400-24-44-44-4-422-20002-2-22-22-2220000000000000000000000000000000000−22220022−2200000000000000000002−2−22000000
χ988-88-800-48004-80000-884-4-400000400004-4000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40044−4i34i34i3−4i34-44-4200000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-4-400444i3−4i3−4i34i34-44-4200000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-4-400-4-4-44-4444442000-4422-22-2-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-88-4-400-4-44-44-4444420004-42-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000

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