Finite Group Databasebeta

← Group #11835999

Character table — Group #11835999

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444488888888888888888888888121212121212121212121212121212122424242424242424242424242424242436363636363672
order122222223366666666666666223446666666121212124666666661212121212121212121212121212222222446666121212124444666612121212121212122244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-11111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111111-1-1-1-1-1-11111-1-1-1-11
χ6111111111111111111111111111-1-11111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-1-11
χ9111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-11111-1-1-1
χ10111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-1-1111
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-11-11-1-1-1-1-1-111-1-1111111-1-1-1
χ13111111111111111111111111-1-11-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-11-1-11111-1-111-1-1-1-111-1-111-1
χ14111111111111111111111111-1-11-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-11
χ15111111111111111111111111-1-11-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-111-1-1-1-11111-1-1-1-111-1-11
χ16111111111111111111111111-1-11-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111-1-1111111-1-111-1
χ17222222222-1222-1-1-1-1-12222-1-122-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122220022-1-1-1-1-1-1-1-1002000-1-10000-1-1000000000
χ18222222222-1222-1-1-1-1-12222-1-122-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-21111111100-200011000011000000000
χ19222222222-1222-1-1-1-1-12222-1-122-1-2-2-1-1-1-1-1-1-11111-222-1-1-1-1-1-1-2-2-2-2111111111122-2-200221111-1-1-1-100-2000-1-1000011000000000
χ20222222222-1222-1-1-1-1-12222-1-122-1-2-2-1-1-1-1-1-1-11111-222-1-1-1-1-1-1-2-2-2-21111111111-2-22200-2-2-1-1-1-11111002000110000-1-1000000000
χ21222222222-1222-1-1-1-1-12222-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-211111122-2-211-1-1-1-1111122-2-200-2-211111111002000-1-10000-1-1000000000
χ22222222222-1222-1-1-1-1-12222-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-211111122-2-211-1-1-1-11111-2-2220022-1-1-1-1-1-1-1-100-200011000011000000000
χ23222222222-1222-1-1-1-1-12222-1-1-2-2-1-2-2-1-1-1-1-1-1-111112-2-2111111-2-222-1-11111-1-1-1-1222200-2-2-1-1-1-1111100-2000-1-1000011000000000
χ24222222222-1222-1-1-1-1-12222-1-1-2-2-1-2-2-1-1-1-1-1-1-111112-2-2111111-2-222-1-11111-1-1-1-1-2-2-2-200221111-1-1-1-1002000110000-1-1000000000
χ2522222222-12-1-1-122222-1-1-1-12222-122-1-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200000000002202-1-100-1-1-1-100-1-10000000
χ2622222222-12-1-1-122222-1-1-1-12222-122-1-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-20000000000-2-20-21100111100110000000
χ2722222222-12-1-1-122222-1-1-1-12222-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2-1-122-1-1-1-11111-2-2111111110000220000000000-2-202-1-100111100-1-10000000
χ2822222222-12-1-1-122222-1-1-1-12222-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2-1-122-1-1-1-11111-2-2111111110000-2-20000000000220-21100-1-1-1-100110000000
χ2922222222-12-1-1-122222-1-1-1-122-2-2-122-1-1-1-1-1-1-12222-211-2-21111-1-111-2-2-1-1-1-1111100002200000000002-20-2-1-100-1-11100110000000
χ3022222222-12-1-1-122222-1-1-1-122-2-2-122-1-1-1-1-1-1-12222-211-2-21111-1-111-2-2-1-1-1-111110000-2-20000000000-2202110011-1-100-1-10000000
χ3122222222-12-1-1-122222-1-1-1-122-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-2211-2-2111111-1-1221111-1-1-1-10000220000000000-220-2-1-10011-1-100110000000
χ3222222222-12-1-1-122222-1-1-1-122-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-2211-2-2111111-1-1221111-1-1-1-10000-2-200000000002-2021100-1-11100-1-10000000
χ33222-2-2-22-22222-2222-2-2-22-2-2-2-20022i−2i222-2-2-2-22i2i−2i−2i0000000002i−2i00002i2i−2i−2i0000000000000000000000000000000000002-22i−2i000
χ34222-2-2-22-22222-2222-2-2-22-2-2-2-20022i−2i222-2-2-2-22i2i−2i−2i0000000002i−2i00002i2i−2i−2i000000000000000000000000000000000000-22−2i2i000
χ35222-2-2-22-22222-2222-2-2-22-2-2-2-2002−2i2i222-2-2-2-2−2i−2i2i2i000000000−2i2i0000−2i−2i2i2i0000000000000000000000000000000000002-2−2i2i000
χ36222-2-2-22-22222-2222-2-2-22-2-2-2-2002−2i2i222-2-2-2-2−2i−2i2i2i000000000−2i2i0000−2i−2i2i2i000000000000000000000000000000000000-222i−2i000
χ372-22-2-22-2222-2-222-2-22-2-22-222-2002002-2-22-22-2000000000000000000000000000002-22-20022-2-2000000002-2000000000000002-20
χ382-22-2-22-2222-2-222-2-22-2-22-222-2002002-2-22-22-2000000000000000000000000000002-2-220022-2-200000000-2200000000000000-220
χ392-22-2-22-2222-2-222-2-22-2-22-222-2002002-2-22-22-200000000000000000000000000000-222-200-2-222000000002-200000000000000-220
χ402-22-2-22-2222-2-222-2-22-2-22-222-2002002-2-22-22-200000000000000000000000000000-22-2200-2-22200000000-22000000000000002-20
χ412-2-2-2222-2222-2-2-22-2-2-22-2-22222-2200-22-2-2-222000002-22-222-2-2000000000000002-200002-2000022-2-20000002-2000000000000000
χ422-2-2-2222-2222-2-2-22-2-2-22-2-22222-2200-22-2-2-222000002-22-222-2-200000000000000-220000-220000-2-222000000-22000000000000000
χ432-2-2-2222-2222-2-2-22-2-2-22-2-2222-22200-22-2-2-22200000-22-22-2-222000000000000002-20000-220000-2-2220000002-2000000000000000
χ442-2-2-2222-2222-2-2-22-2-2-22-2-2222-22200-22-2-2-22200000-22-22-2-22200000000000000-2200002-2000022-2-2000000-22000000000000000
χ452-2-2-2222-22-12-2-21-11112-2-22-1-12-2-1001-1111-1-1−i3i3−i3i302-2-11-1-1110000−i3i3−i3i3−i3i3−i3−i3i3i32-200002-2−i3i3−i3i3-1-111000000-110000−i3i3000000000
χ462-2-2-2222-22-12-2-21-11112-2-22-1-12-2-1001-1111-1-1−i3i3−i3i302-2-11-1-1110000−i3i3−i3i3−i3i3−i3−i3i3i3-220000-22i3−i3i3−i311-1-10000001-10000i3−i3000000000
χ472-2-2-2222-22-12-2-21-11112-2-22-1-12-2-1001-1111-1-1i3−i3i3−i302-2-11-1-1110000i3−i3i3−i3i3−i3i3i3−i3−i32-200002-2i3−i3i3−i3-1-111000000-110000i3−i3000000000
χ482-2-2-2222-22-12-2-21-11112-2-22-1-12-2-1001-1111-1-1i3−i3i3−i302-2-11-1-1110000i3−i3i3−i3i3−i3i3i3−i3−i3-220000-22−i3i3−i3i311-1-10000001-10000−i3i3000000000
χ492-2-2-2222-22-12-2-21-11112-2-22-1-1-22-1001-1111-1-1−i3i3−i3i30-221-111-1-10000i3−i3−i3i3−i3i3i3i3−i3−i32-20000-22i3−i3i3−i311-1-1000000-110000−i3i3000000000
χ502-2-2-2222-22-12-2-21-11112-2-22-1-1-22-1001-1111-1-1−i3i3−i3i30-221-111-1-10000i3−i3−i3i3−i3i3i3i3−i3−i3-2200002-2−i3i3−i3i3-1-1110000001-10000i3−i3000000000
χ512-2-2-2222-22-12-2-21-11112-2-22-1-1-22-1001-1111-1-1i3−i3i3−i30-221-111-1-10000−i3i3i3−i3i3−i3−i3−i3i3i32-20000-22−i3i3−i3i311-1-1000000-110000i3−i3000000000
χ522-2-2-2222-22-12-2-21-11112-2-22-1-1-22-1001-1111-1-1i3−i3i3−i30-221-111-1-10000−i3i3i3−i3i3−i3−i3−i3i3i3-2200002-2i3−i3i3−i3-1-1110000001-10000−i3i3000000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441441111111-2-2-2-24-2-2-2-21111-2-2-2-2-2-211111111000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-411111112222-4-2-2-2-21111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41441111111-2-2-2-2-42222-1-1-1-1-2-222221111-1-1-1-1000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-41111111222242222-1-1-1-122-2-2-2-2-1-1-1-11111000000000000000000000000000000000000000
χ57444-4-4-44-44-244-4-2-2-222-44-4-42200-24i−4i-2-2-22222−2i−2i2i2i0000000004i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000000
χ58444-4-4-44-44-244-4-2-2-222-44-4-42200-2−4i4i-2-2-222222i2i−2i−2i000000000−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000000
χ59444-4-4-44-4-24-2-22444-4-42-222-4-400-24i−4i-2-2-222224i4i−4i−4i000000000−2i2i0000−2i−2i2i2i0000000000000000000000000000000000000000000
χ60444-4-4-44-4-24-2-22444-4-42-222-4-400-2−4i4i-2-2-22222−4i−4i4i4i0000000002i−2i00002i2i−2i−2i0000000000000000000000000000000000000000000
χ61444-4-4-44-4-2-2-2-22-2-2-2222-222220014i−4i111-1-1-1-1−2i−2i2i2i000003-33-3−2i2i0000ii−i−i3i−3i3i−3i000000000000000000000000000000000000000
χ62444-4-4-44-4-2-2-2-22-2-2-2222-222220014i−4i111-1-1-1-1−2i−2i2i2i00000-33-33−2i2i0000ii−i−i−3i3i−3i3i000000000000000000000000000000000000000
χ63444-4-4-44-4-2-2-2-22-2-2-2222-22222001−4i4i111-1-1-1-12i2i−2i−2i000003-33-32i−2i0000−i−iii−3i3i−3i3i000000000000000000000000000000000000000
χ64444-4-4-44-4-2-2-2-22-2-2-2222-22222001−4i4i111-1-1-1-12i2i−2i−2i00000-33-332i−2i0000−i−iii3i−3i3i−3i000000000000000000000000000000000000000
χ6544-44-44-4-444-44-4-4-44-44-4-4444-400400-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ6644-44-44-4-44-2-44-422-22-2-4-444-2200-20022-22-2-2200000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000
χ6744-44-44-4-44-2-44-422-22-2-4-444-2200-20022-22-2-22000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ6844-44-44-4-4-242-22-4-44-4422-2-24-400-20022-22-2-22000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ6944-44-44-4-4-242-22-4-44-4422-2-24-400-20022-22-2-220000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ7044-4-44-4-4444-444-4-444-44-4-4-4-4400400-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ7144-4-44-4-444-2-44422-2-224-4-4-42-200-20022-2-222-2000000000000000000000000000000000000000−2i32i3−2i32i300000000000000000000000
χ7244-4-44-4-444-2-44422-2-224-4-4-42-200-20022-2-222-20000000000000000000000000000000000000002i3−2i32i3−2i300000000000000000000000
χ7344-4-44-4-44-242-2-2-4-444-4-2222-4400-20022-2-222-20000000000000000000000000000000000000000000000000000023−2300000000000
χ7444-4-44-4-44-242-2-2-4-444-4-2222-4400-20022-2-222-200000000000000000000000000000000000000000000000000000−232300000000000
χ754-4444-4-4-444-4-4-44-4-4-44444-4-44004004-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ764-4444-4-4-44-2-4-4-4-2222-2444-42-200-200-2222-22-2000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ774-4444-4-4-44-2-4-4-4-2222-2444-42-200-200-2222-22-20000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ784-4444-4-4-4-242224-4-4-44-2-2-22-4400-200-2222-22-2000000000000000000000000000000000000000000000000000−2i32i30000000000000
χ794-4444-4-4-4-242224-4-4-44-2-2-22-4400-200-2222-22-20000000000000000000000000000000000000000000000000002i3−2i30000000000000
χ804-44-4-44-444-2-4-44-222-22-44-44-2200-200-222-22-22000000000000000000000000000004-40000-2-222000000000000000000000000000
χ814-44-4-44-444-2-4-44-222-22-44-44-2200-200-222-22-2200000000000000000000000000000-44000022-2-2000000000000000000000000000
χ824-44-4-44-44-2422-24-4-44-42-22-24-400-200-222-22-2200000000000000000000000000000004-400000000000000-2200000000000000000
χ834-44-4-44-44-2422-24-4-44-42-22-24-400-200-222-22-220000000000000000000000000000000-44000000000000002-200000000000000000
χ844-4-44-4-444444-44-44-444-4-44-4-4-400400-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000
χ854-4-44-4-4444-24-442-22-2-2-4-44-42200-2002-22-2-22223−23−232300000000000000023−23−23230000000000000000000000000000000000000000000
χ864-4-44-4-4444-24-442-22-2-2-4-44-42200-2002-22-2-222−232323−23000000000000000−232323−230000000000000000000000000000000000000000000
χ874-4-44-4-444-24-22-2-44-44422-22-4-400-2002-22-2-22200000000000000023−2300000023−23−2323000000000000000000000000000000000000000
χ884-4-44-4-444-24-22-2-44-44422-22-4-400-2002-22-2-222000000000000000−2323000000−232323−23000000000000000000000000000000000000000
χ894-4-44-4-444-2-2-22-22-22-2-222-222200100-11-111-1-123−23−2323000003-3-3300−232300−333−33−3−33000000000000000000000000000000000000000
χ904-4-44-4-444-2-2-22-22-22-2-222-222200100-11-111-1-123−23−232300000-333-30023−2300−333−3−333−3000000000000000000000000000000000000000
χ914-4-44-4-444-2-2-22-22-22-2-222-222200100-11-111-1-1−232323−23000003-3-330023−23003−3−33−333−3000000000000000000000000000000000000000
χ924-4-44-4-444-2-2-22-22-22-2-222-222200100-11-111-1-1−232323−2300000-333-300−2323003−3−333−3−33000000000000000000000000000000000000000
χ934-4-4-4444-4-24-222-44-4-4-4-222-2444-4-2002-2222-2-200000-224-4-2-22200000000000000000000000000000000000000000000000000000
χ944-4-4-4444-4-24-222-44-4-4-4-222-244-44-2002-2222-2-2000002-2-4422-2-200000000000000000000000000000000000000000000000000000
χ954-4-4-4444-4-2-2-2222-2222-222-2-2-24-4100-11-1-1-111−2i32i3−2i32i30-22-2211-1-10000−2i32i3i3−i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ964-4-4-4444-4-2-2-2222-2222-222-2-2-24-4100-11-1-1-1112i3−2i32i3−2i30-22-2211-1-100002i3−2i3−i3i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ974-4-4-4444-4-2-2-2222-2222-222-2-2-2-44100-11-1-1-111−2i32i3−2i32i302-22-2-1-11100002i3−2i3i3−i3i3−i3−i3−i3i3i3000000000000000000000000000000000000000
χ984-4-4-4444-4-2-2-2222-2222-222-2-2-2-44100-11-1-1-1112i3−2i32i3−2i302-22-2-1-1110000−2i32i3−i3i3−i3i3i3i3−i3−i3000000000000000000000000000000000000000
χ9988-88-88-8-8-4-44-4444-44-444-4-4-4400200-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-8-88-4-44-4-444-4-44-44444-400200-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1018-8888-8-8-8-4-4444-4444-4-4-4-444-4002002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-88-88-4-444-4-444-444-44-4-44002002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000

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