Finite Group Databasebeta

← Group #11889135

Character table — Group #11889135

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444466666688888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order1222334466666636668812121212242424242266662466121212122424242424242244444881212242424246661212122466812121212242424612448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11
χ41111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-111-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1111-1-1-11-111-11-1-11-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-11-111
χ11111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1111-11-1-1-11111-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-1-11111-1-1-11-111-111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-11111-111-1-11111111-1-1-11-1-1-1-11111-1-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111111-1-1-1-11-1-11-111-11111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1-11-111-1-11111-1-1-1111-1111-11-1-11-1-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-11111-1111-1-1-1-111111-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222222000000-2-200000000200-2-200-2-2000000000000000-200200-2200000
χ18222222-2-2222222222200-2-2-2-20000222222000000-2-200000000-2002-200-2-2000000000000000200-2002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-200000000200-220022000000000000000-2002002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-200000000-200220022000000000000000200-200-2200000
χ2122222-122-12-12-12-1-1-1-122-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1220220222-1-1-1-1-1-12-1-12-1-100-1-100-1-10000000000
χ2222222-122-12-12-12-1-1-1-122-122-1-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-1-2-20-2-20222-1-1-1-1-1-1-211-211001100110000000000
χ2322222-122-12-12-12-1-1-1-122-122-1-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-1-2-20-2-20-2-2-21111112-1-12-1-1001100110000000000
χ2422222-122-12-12-12-1-1-1-122-122-1-1-1-1-1-2-21111-2-21111-1-122-1-1-1-1220220-2-2-2111111-211-21100-1-100-1-10000000000
χ2522222-122-12-12-12-1-1-1-1-2-2-122-1111122-1-1-1-12-2-1-111-1-1-2-21111220-2-202-2-2-1-111112-1-1-21100-1-100110000000000
χ2622222-122-12-12-12-1-1-1-1-2-2-122-1111122-1-1-1-1-2211-1-1-1-1-2-21111-2-202202-2-2-1-11111-2112-1-1001100-1-10000000000
χ2722222-122-12-12-12-1-1-1-1-2-2-122-11111-2-211112-2-1-111-1-1-2-21111-2-20220-22211-1-1-1-12-1-1-211001100-1-10000000000
χ2822222-122-12-12-12-1-1-1-1-2-2-122-11111-2-21111-2211-1-1-1-1-2-21111220-2-20-22211-1-1-1-1-2112-1-100-1-100110000000000
χ292222-12222-12-12-1-1-1-1-1222-1-122222000000222222-1-1-1-1-1-1-1-1002002000000000-1-1-1-1-1-122002-100-1-1-100-1-1000
χ302222-12222-12-12-1-1-1-1-1222-1-122222000000222222-1-1-1-1-1-1-1-100-200-2000000000-1-1-1-1-1-1-2-200-21001110011000
χ312222-12222-12-12-1-1-1-1-1222-1-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1002002000000000111111-2-2002-100-1-1-10011000
χ322222-12222-12-12-1-1-1-1-1222-1-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-100-200-20000000001111112200-210011100-1-1000
χ332222-12222-12-12-1-1-1-1-1-2-22-1-12-2-2-2-20000002-222-2-2-1-1111111002002000000000-1-1-11112-200-2-100-11100-11000
χ342222-12222-12-12-1-1-1-1-1-2-22-1-12-2-2-2-20000002-222-2-2-1-111111100-200-2000000000-1-1-1111-220021001-1-1001-1000
χ352222-12222-12-12-1-1-1-1-1-2-22-1-12-2-2-2-2000000-22-2-222-1-1111111002002000000000111-1-1-1-2200-2-100-111001-1000
χ362222-12222-12-12-1-1-1-1-1-2-22-1-12-2-2-2-2000000-22-2-222-1-111111100-200-2000000000111-1-1-12-20021001-1-100-11000
χ372-2-22222-2-222-2-2-22-22-22i−2i2-22-22i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i2-202i−2i0000000000000000002-2002i−2i0000000000
χ382-2-22222-2-222-2-2-22-22-22i−2i2-22-22i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i-220−2i2i000000000000000000-2200−2i2i0000000000
χ392-2-22222-2-222-2-2-22-22-2−2i2i2-22-2−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i2-20−2i2i0000000000000000002-200−2i2i0000000000
χ402-2-22222-2-222-2-2-22-22-2−2i2i2-22-2−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i-2202i−2i000000000000000000-22002i−2i0000000000
χ412-2-222-12-212-1-21-2-11-112i−2i-1-221−i−iii00−i3−i3i3i300−i3i33−3-112i−2i−i−iii2-202i−2i0000−i3i333−3−30−i3i303−300-1100−ii0000000000
χ422-2-222-12-212-1-21-2-11-112i−2i-1-221−i−iii00−i3−i3i3i300i3−i3−33-112i−2i−i−iii-220−2i2i0000−i3i333−3−30i3−i30−33001-100i−i0000000000
χ432-2-222-12-212-1-21-2-11-112i−2i-1-221−i−iii00i3i3−i3−i300−i3i33−3-112i−2i−i−iii-220−2i2i0000i3−i3−3−3330−i3i303−3001-100i−i0000000000
χ442-2-222-12-212-1-21-2-11-112i−2i-1-221−i−iii00i3i3−i3−i300i3−i3−33-112i−2i−i−iii2-202i−2i0000i3−i3−3−3330i3−i30−3300-1100−ii0000000000
χ452-2-222-12-212-1-21-2-11-11−2i2i-1-221ii−i−i00−i3−i3i3i300−i3i3−33-11−2i2iii−i−i2-20−2i2i0000−i3i3−3−3330−i3i30−3300-1100i−i0000000000
χ462-2-222-12-212-1-21-2-11-11−2i2i-1-221ii−i−i00−i3−i3i3i300i3−i33−3-11−2i2iii−i−i-2202i−2i0000−i3i3−3−3330i3−i303−3001-100−ii0000000000
χ472-2-222-12-212-1-21-2-11-11−2i2i-1-221ii−i−i00i3i3−i3−i300−i3i3−33-11−2i2iii−i−i-2202i−2i0000i3−i333−3−30−i3i30−33001-100−ii0000000000
χ482-2-222-12-212-1-21-2-11-11−2i2i-1-221ii−i−i00i3i3−i3−i300i3−i33−3-11−2i2iii−i−i2-20−2i2i0000i3−i333−3−30i3−i303−300-1100i−i0000000000
χ4944444-2-4-4-24-24-24-2-2-2-2002-4-42000044-2-2-2-200000022000000000000-400220000000000000000000000000000
χ5044444-2-4-4-24-24-24-2-2-2-2002-4-420000-4-4222200000022000000000000400-2-20000000000000000000000000000
χ514444-24-4-44-24-24-2-2-2-2-200-422-400000000000000002200000000400-400000000000000000000200-2000000000
χ524444-24-4-44-24-24-2-2-2-2-200-422-400000000000000002200000000-400400000000000000000000-2002000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-2-2-211-2-21111000000000000000-211-211000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-4222211-2-211110000000000000002-1-12-1-1000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-2221122-1-1-1-1000000000000000-2112-1-1000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-4422-2-21122-1-1-1-10000000000000002-1-1-211000000000000000000
χ5744-4-444004-4-4-4-4444-4-40000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ5844-4-444004-4-4-4-4444-4-400000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ5944-4-44-200-2-42-424-2-2220000006−66−600−2i32i3−2i32i300000000006−66−60000000−2i22i200i2−i2i2−i2000000000000000000000000
χ6044-4-44-200-2-42-424-2-2220000006−66−6002i3−2i32i3−2i300000000006−66−600000002i2−2i200−i2i2−i2i2000000000000000000000000
χ6144-4-44-200-2-42-424-2-222000000−66−6600−2i32i3−2i32i30000000000−66−6600000002i2−2i200−i2i2−i2i2000000000000000000000000
χ6244-4-44-200-2-42-424-2-222000000−66−66002i3−2i32i3−2i30000000000−66−660000000−2i22i200i2−i2i2−i2000000000000000000000000
χ634-44-44400-4-4-444-44-4-4400000000004-44-4-4400000000000000000000000000000000000000000000000000000
χ644-44-44400-4-4-444-44-4-440000000000-44-444-400000000000000000000000000000000000000000000000000000
χ654-44-44-2002-424-2-4-222-2000000i6−i6−i6i64-4-222-20000000000i6−i6−i6i600000000000−i6i6i6−i6000000000000000000000000
χ664-44-44-2002-424-2-4-222-2000000i6−i6−i6i6-442-2-220000000000i6−i6−i6i600000000000i6−i6−i6i6000000000000000000000000
χ674-44-44-2002-424-2-4-222-2000000−i6i6i6−i64-4-222-20000000000−i6i6i6−i600000000000i6−i6−i6i6000000000000000000000000
χ684-44-44-2002-424-2-4-222-2000000−i6i6i6−i6-442-2-220000000000−i6i6i6−i600000000000−i6i6i6−i6000000000000000000000000
χ694-4-4444-44-444-4-4-44-44-400-44-440000000000000000-44000000000000000000000000000000000000000000000
χ704-4-444-2-4424-2-42-4-22-220024-4-2000000−2i3−2i32i32i30000002-20000000000000002i3−2i30000000000000000000000000000
χ714-4-444-2-4424-2-42-4-22-220024-4-20000002i32i3−2i3−2i30000002-2000000000000000−2i32i30000000000000000000000000000
χ724-4-44-244-4-4-242-42-22-224i−4i42-2-44i4i−4i−4i000000000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000000
χ734-4-44-244-4-4-242-42-22-22−4i4i42-2-4−4i−4i4i4i000000000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000000
χ744-4-44-24-44-4-242-42-22-2200-4-22400000000000000002-200000000000000000000000000000000000023−230000000
χ754-4-44-24-44-4-242-42-22-2200-4-22400000000000000002-2000000000000000000000000000000000000−23230000000
χ764-4-44-2-24-42-2-22221-11-14i−4i-22-22−2i−2i2i2i00000000−2i32i323−231-1−2i2iii−i−i0000000000000000i3−i30−33000000000000000000
χ774-4-44-2-24-42-2-22221-11-14i−4i-22-22−2i−2i2i2i000000002i3−2i3−23231-1−2i2iii−i−i0000000000000000−i3i303−3000000000000000000
χ784-4-44-2-24-42-2-22221-11-1−4i4i-22-222i2i−2i−2i00000000−2i32i3−23231-12i−2i−i−iii0000000000000000i3−i303−3000000000000000000
χ794-4-44-2-24-42-2-22221-11-1−4i4i-22-222i2i−2i−2i000000002i3−2i323−231-12i−2i−i−iii0000000000000000−i3i30−33000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000
χ8188-8-8-480084-84-8-4-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-422-2-200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000
χ8388-8-8-4-400-44444-422-2-2000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000
χ848-88-8-4800-84-8-484-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-4-442-2-220000002i6−2i6−2i62i60000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ868-88-8-4-400444-4-442-2-22000000−2i62i62i6−2i60000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ878-8-88-4-4-884-4-44442-22-2004-44-40000000000000000-22000000000000000000000000000000000000000000000

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