Finite Group Databasebeta

← Group #11872318

Character table — Group #11872318

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12223344444466666612121212366612121212121212121212121212122466666666121212121212121212121212244444448888242424242424242424666121212121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-111-111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1111111111111-1-11-1-111-1-1-1-11-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-11-1111-1-1-111-1-11111-1-1-1-1-111-1-11-111-1-1-11111-1-11-1
χ10111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-11111-111-1-11-1-1-111-111-1-111-11
χ11111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-11-1-111-1111-1-11-1-1-1-111-11
χ12111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-111111-1-111-11-1-1111-1-111-1-11-1
χ13111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-111111-1111-1-1-1-1-111-1-1-1-111111-11111-111-1-1-1-1-111-1-1-11
χ14111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-111111-11-1-1-11111-1-11111-1-1-1-11-11111-1-1-111-1-1-1-1-1111-1
χ15111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-11-1111-1-1-1-111-1-1-1-11111-11-1-1-1-1111-1-1111-1-1111-1
χ16111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-11-1-1-111111-1-11111-1-1-1-1-11-1-1-1-11-1-11111111-1-1-11
χ1722222222-2-2-2-222222222222222-2-222-2-2-2-22222-2-200000000000000-2-2-2-200002-2-20020000000000000000200-2-20000200000000
χ1822222222-2-2-2-222222222222222-2-222-2-2-2-22222-2-200000000000000-2-2-2-20000-22200-20000000000000000-200220000-200000000
χ19222222-2-222-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000-2-222000022-200-20000000000000000200-220000-200000000
χ20222222-2-222-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000-2-2220000-2-220020000000000000000-2002-20000200000000
χ2122222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12220020000000000000022-1-1-1-1-10000-1-1-1000000
χ2222222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-200-200000000000000-2-2111110000111000000
χ2322222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111-2-211-1-1-1-1111122200200000000000000-2-2-111-1-10000-111000000
χ2422222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111-2-211-1-1-1-11111-2-2-200-200000000000000221-1-11100001-1-1000000
χ2522222-122-2-2-2-22-1-122-12222-1-1-1-111-1-1-2-211-1-1-1-1-2-20000−i3i3−i3−i3i3i300−i3i31111−i3−i3i3i32-2-20020000000000000000-1−i3i3110000-1−i3i3000000
χ2622222-122-2-2-2-22-1-122-12222-1-1-1-111-1-1-2-211-1-1-1-1-2-20000−i3i3−i3−i3i3i300−i3i31111−i3−i3i3i3-22200-200000000000000001i3−i3-1-100001i3−i3000000
χ2722222-122-2-2-2-22-1-122-12222-1-1-1-111-1-1-2-211-1-1-1-1-2-20000i3−i3i3i3−i3−i300i3−i31111i3i3−i3−i32-2-20020000000000000000-1i3−i3110000-1i3−i3000000
χ2822222-122-2-2-2-22-1-122-12222-1-1-1-111-1-1-2-211-1-1-1-1-2-20000i3−i3i3i3−i3−i300i3−i31111i3i3−i3−i3-22200-200000000000000001−i3i3-1-100001−i3i3000000
χ2922222-1-2-222-2-22-1-122-1-2-2-2-2-1-1-1-1111122-1-11111-2-20000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i322-200-20000000000000000-1i3−i31-100001−i3i3000000
χ3022222-1-2-222-2-22-1-122-1-2-2-2-2-1-1-1-1111122-1-11111-2-20000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i3-2-2200200000000000000001−i3i3-110000-1i3−i3000000
χ3122222-1-2-222-2-22-1-122-1-2-2-2-2-1-1-1-1111122-1-11111-2-20000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i322-200-20000000000000000-1−i3i31-100001i3−i3000000
χ3222222-1-2-222-2-22-1-122-1-2-2-2-2-1-1-1-1111122-1-11111-2-20000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i3-2-2200200000000000000001i3−i3-110000-1−i3i3000000
χ3322222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-1-1-111-2-2111111222-222-1-1-1-1-1-1-2-211-1-11111112-2200-200000000000000-22-111-1100001-1-1000000
χ3422222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-1-1-111-2-2111111222-222-1-1-1-1-1-1-2-211-1-1111111-22-2002000000000000002-21-1-11-10000-111000000
χ3522222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-1-1-111-2-211111122-22-2-211111122-1-1-1-111-1-1-1-12-2200-2000000000000002-2-1-1-1-110000111000000
χ3622222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-1-1-111-2-211111122-22-2-211111122-1-1-1-111-1-1-1-1-22-200200000000000000-221111-10000-1-1-1000000
χ372222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1000220222222-1-1-1-1-1-1-1-10000000-1-1-1-1000000000
χ382222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1000-2-20-2-2-2-2-2-21111111100000001111000000000
χ392222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-2-211-2-2111111-2-2-1-1-1-1111100022022-2-2-2-2111111110000000-1-1-1-1000000000
χ402222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-2-211-2-2111111-2-2-1-1-1-11111000-2-20-2-22222-1-1-1-1-1-1-1-100000001111000000000
χ412222-12-2-2-2-222-122-1-121111-1-1-1-122-2-211-2-21111-1-12-2-1-122-1-1-1-111-2-2-1-1111111000220-2-222-2-2-1-1-1-111110000000-1-111000000000
χ422222-12-2-2-2-222-122-1-121111-1-1-1-122-2-211-2-21111-1-12-2-1-122-1-1-1-111-2-2-1-1111111000-2-2022-2-2221111-1-1-1-1000000011-1-1000000000
χ432222-12-2-2-2-222-122-1-121111-1-1-1-122-2-211-2-21111-1-1-2211-2-21111-1-122-1-111-1-1-1-1000220-2-2-2-2221111-1-1-1-10000000-1-111000000000
χ442222-12-2-2-2-222-122-1-121111-1-1-1-122-2-211-2-21111-1-1-2211-2-21111-1-122-1-111-1-1-1-1000-2-202222-2-2-1-1-1-11111000000011-1-1000000000
χ452-22-2222i−2i2i−2i2-2-22-22-2-22i2i−2i−2i22-2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-2000000000000002-22i−2i000000000000000000000000000000000000002-22i−2i00
χ462-22-2222i−2i2i−2i2-2-22-22-2-22i2i−2i−2i22-2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-2000000000000002-22i−2i00000000000000000000000000000000000000-22−2i2i00
χ472-22-2222i−2i−2i2i-22-22-22-2-22i2i−2i−2i22-2-2-222i−2i−2i2i−2i2i2i2i−2i−2i-2200000000000000-22−2i2i00000002-202i−2i00000000000000000002-22i−2i000000000
χ482-22-2222i−2i−2i2i-22-22-22-2-22i2i−2i−2i22-2-2-222i−2i−2i2i−2i2i2i2i−2i−2i-2200000000000000-22−2i2i0000000-220−2i2i0000000000000000000-22−2i2i000000000
χ492-22-222−2i2i2i−2i-22-22-22-2-2−2i−2i2i2i22-2-2-22−2i2i2i−2i2i−2i−2i−2i2i2i-2200000000000000-222i−2i00000002-20−2i2i00000000000000000002-2−2i2i000000000
χ502-22-222−2i2i2i−2i-22-22-22-2-2−2i−2i2i2i22-2-2-22−2i2i2i−2i2i−2i−2i−2i2i2i-2200000000000000-222i−2i0000000-2202i−2i0000000000000000000-222i−2i000000000
χ512-22-222−2i2i−2i2i2-2-22-22-2-2−2i−2i2i2i22-2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2000000000000002-2−2i2i000000000000000000000000000000000000002-2−2i2i00
χ522-22-222−2i2i−2i2i2-2-22-22-2-2−2i−2i2i2i22-2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2000000000000002-2−2i2i00000000000000000000000000000000000000-222i−2i00
χ532-22-2-122i−2i−2i2i-2212-2-11-2−i−iii-1-111-222i−2ii−i−2i2i−i−iii1-100−i3i300−i3i3−i3i33−3001-1i−i3−33−30002-202i−2i0000−i3−i3i3i333−3−30000000-11−ii000000000
χ542-22-2-122i−2i−2i2i-2212-2-11-2−i−iii-1-111-222i−2ii−i−2i2i−i−iii1-100−i3i300−i3i3−i3i33−3001-1i−i3−33−3000-220−2i2i0000i3i3−i3−i3−3−33300000001-1i−i000000000
χ552-22-2-122i−2i−2i2i-2212-2-11-2−i−iii-1-111-222i−2ii−i−2i2i−i−iii1-100i3−i300i3−i3i3−i3−33001-1i−i−33−330002-202i−2i0000i3i3−i3−i3−3−3330000000-11−ii000000000
χ562-22-2-122i−2i−2i2i-2212-2-11-2−i−iii-1-111-222i−2ii−i−2i2i−i−iii1-100i3−i300i3−i3i3−i3−33001-1i−i−33−33000-220−2i2i0000−i3−i3i3i333−3−300000001-1i−i000000000
χ572-22-2-12−2i2i2i−2i-2212-2-11-2ii−i−i-1-111-22−2i2i−ii2i−2iii−i−i1-100−i3i300−i3i3−i3i3−33001-1−ii−33−330002-20−2i2i0000−i3−i3i3i3−3−3330000000-11i−i000000000
χ582-22-2-12−2i2i2i−2i-2212-2-11-2ii−i−i-1-111-22−2i2i−ii2i−2iii−i−i1-100−i3i300−i3i3−i3i3−33001-1−ii−33−33000-2202i−2i0000i3i3−i3−i333−3−300000001-1−ii000000000
χ592-22-2-12−2i2i2i−2i-2212-2-11-2ii−i−i-1-111-22−2i2i−ii2i−2iii−i−i1-100i3−i300i3−i3i3−i33−3001-1−ii3−33−30002-20−2i2i0000i3i3−i3−i333−3−30000000-11i−i000000000
χ602-22-2-12−2i2i2i−2i-2212-2-11-2ii−i−i-1-111-22−2i2i−ii2i−2iii−i−i1-100i3−i300i3−i3i3−i33−3001-1−ii3−33−3000-2202i−2i0000−i3−i3i3i3−3−33300000001-1−ii000000000
χ614444-2444-4-4-4-4-244-2-24-2-2-2-2-2-2-2-2-4-44422-4-4-2-2-2-22200000000000000222200000000000000000000000000000000000000000000
χ624444-24-4-444-4-4-244-2-242222-2-2-2-2-4-4-4-4-2-2442222220000000000000022-2-200000000000000000000000000000000000000000000
χ634444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-244-2-2-2-21111-2-2-2-2111111110000000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-4-42222-1-1-1-122221111-1-1-1-10000000000000000000000000000000000000000
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χ664444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2111122-2-2222211112200002i3−2i3−i3−i3i3i3002i3−2i3-1-1-1-1−i3−i3i3i30000000000000000000000000000000000000000
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χ694444-2-2-4-4-4-444-2-2-2-2-2-222221111-2-2222222-1-1-1-1-2-24-4-2-2-2-21111222211-1-1-1-1-1-10000000000000000000000000000000000000000
χ704444-2-2-4-4-4-444-2-2-2-2-2-222221111-2-2222222-1-1-1-1-2-2-442222-1-1-1-1-2-2-2-211-1-111110000000000000000000000000000000000000000
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χ7444-4-4-24000000-2-4422-4−2i32i3−2i32i3-222-200000000−2i32i3−2i32i3000000000000000000000000000000002i2−2i200−i2i2−i2i2−66−6600000000000000000000
χ7544-4-4-24000000-2-4422-42i3−2i32i3−2i3-222-2000000002i3−2i32i3−2i300000000000000000000000000000000−2i22i200i2−i2i2−i2−66−6600000000000000000000
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χ774-44-44-24i−4i4i−4i4-4-4-224-424i4i−4i−4i-2-222-22−2i2i4i−4i−2i2i−2i−2i2i2i4-400000000000000-22−2i2i00000000000000000000000000000000000000000000
χ784-44-44-24i−4i−4i4i-44-4-224-424i4i−4i−4i-2-2222-2−2i2i−4i4i2i−2i−2i−2i2i2i-44000000000000002-22i−2i00000000000000000000000000000000000000000000
χ794-44-44-2−4i4i4i−4i-44-4-224-42−4i−4i4i4i-2-2222-22i−2i4i−4i−2i2i2i2i−2i−2i-44000000000000002-2−2i2i00000000000000000000000000000000000000000000
χ804-44-44-2−4i4i−4i4i4-4-4-224-42−4i−4i4i4i-2-222-222i−2i−4i4i2i−2i2i2i−2i−2i4-400000000000000-222i−2i00000000000000000000000000000000000000000000
χ814-44-4-244i−4i4i−4i4-424-4-22-4−2i−2i2i2i-2-2224-44i−4i−2i2i4i−4i−2i−2i2i2i-2200000000000000-22−2i2i00000000000000000000000000000000000000000000
χ824-44-4-24−4i4i−4i4i4-424-4-22-42i2i−2i−2i-2-2224-4−4i4i2i−2i−4i4i2i2i−2i−2i-2200000000000000-222i−2i00000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-42-22-222−2i−2i2i2i11-1-1-22−2i2i−2i2i−2i2iii−i−i-220000003-3-3300001-1i−i3i−3i−3i3i0000000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-42-22-222−2i−2i2i2i11-1-1-22−2i2i−2i2i−2i2iii−i−i-22000000-333-300001-1i−i−3i3i3i−3i0000000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-442-22-222−2i−2i2i2i11-1-12-2−2i2i2i−2i2i−2iii−i−i2-200−2i32i300i3−i3i3−i323−2300-11−ii−33−330000000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-442-22-222−2i−2i2i2i11-1-12-2−2i2i2i−2i2i−2iii−i−i2-2002i3−2i300−i3i3−i3i3−232300-11−ii3−33−30000000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-442-22-2222i2i−2i−2i11-1-12-22i−2i−2i2i−2i2i−i−iii2-200−2i32i300i3−i3i3−i3−232300-11i−i3−33−30000000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-442-22-2222i2i−2i−2i11-1-12-22i−2i−2i2i−2i2i−i−iii2-2002i3−2i300−i3i3−i3i323−2300-11i−i−33−330000000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-42-22-2222i2i−2i−2i11-1-1-222i−2i2i−2i2i−2i−i−iii-220000003-3-3300001-1−ii−3i3i3i−3i0000000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-42-22-2222i2i−2i−2i11-1-1-222i−2i2i−2i2i−2i−i−iii-22000000-333-300001-1−ii3i−3i−3i3i0000000000000000000000000000000000000000
χ914-4-4444000000-4-4-4-44400004-44-4000000000000000000000000000000000000000000000022−22000022−22−222200000000000000000000
χ924-4-4444000000-4-4-4-44400004-44-40000000000000000000000000000000000000000000000−22220000−222222−2200000000000000000000
χ934-4-44-240000002-4-42-2423−23−2323-22-220000000023−23−2323000000000000000000000000000000000022−226−6−66−222−200000000000000000000
χ944-4-44-240000002-4-42-2423−23−2323-22-220000000023−23−23230000000000000000000000000000000000−2222−666−62−2−2200000000000000000000
χ954-4-44-240000002-4-42-24−232323−23-22-2200000000−232323−23000000000000000000000000000000000022−22−666−6−222−200000000000000000000
χ964-4-44-240000002-4-42-24−232323−23-22-2200000000−232323−230000000000000000000000000000000000−22226−6−662−2−2200000000000000000000
χ9788-8-88-400000084-4-8-840000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4000000-44-4444−4i34i3−4i34i32-2-22000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4000000-44-44444i3−4i34i3−4i32-2-2200000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-4000000-844-88-40000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000004444-4-443−43−43432-22-200000000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000004444-4-4−434343−432-22-20000000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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