Finite Group Databasebeta

← Group #11889092

Character table — Group #11889092

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222223344666666666634446666666661212121212121212121241212121212121212121212121212121212121222244488881212121224242424242424242446666612121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-1
χ61111111111111111111111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-11111-1-111
χ71111111111111111111111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-11-1-1-1-11-1-1-1-1-1-111
χ81111111111111111111111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-1-1111111-1-1
χ91111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1111-11-111-1-1-1-1111111-1-1-1-1-11-1111-1-1-111-1-11-1-11
χ101111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-111-11-1111-1-111-1-11111-1-1-1-1-1-11-111-1-11-1-111-111-1
χ111111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1111111-11-1-111-111-1-1-111-1
χ121111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-111111-11-1-1-1111-1-1111-1-11
χ131111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-11111111-11-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1111-11-1
χ141111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-1111111-11-11-1-11111-1-1-1-1-1-11111-11-1-111-1-1111-1-1-11-11
χ151111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-11111-1-11-11-111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-111-11-11
χ161111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-11111-1-1-11-1111-1-111-1-11111-1-1-1-111-1-1-1-111111-1-11-11-1
χ1722222222-2-222222222222-200222222222-2-2-20000-2-2-20000000-2-2-2-2-200000000002-2-220000-2-2-2-20000000000020000200000000
χ1822222222-2-222222222222-200222222222-2-2-20000-2-2-20000000-2-2-2-2-20000000000-222-20000222200000000000-20000-200000000
χ192222222-122-1-1-1-1-1-1-1222-122222-1-1-1-1-1-1-1-1-1-1222222-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-12000-1-1-1-1000000000
χ202222222-122-1-1-1-1-1-1-1222-122222-1-1-1-1-1-1-1-1-1-1222222-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-2000011111111-20001111000000000
χ212222222-122-1-1-1-1-1-1-1222-12-2-222-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-21111-2-22-1-1-1-111111111220000-2-2-2-20000111111112000-1-1-1-1000000000
χ222222222-122-1-1-1-1-1-1-1222-12-2-222-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-21111-2-22-1-1-1-111111111-2-2000022220000-1-1-1-1-1-1-1-1-20001111000000000
χ23222222-12222222222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-100000000022-10000-1-1-1-1-10000
χ24222222-12222222222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111000000000-2-210000111110000
χ25222222-12222222222-1-1-1-12-2-2-1-1-1-1-1-1-1-1-12221111-1-12-2-2-2-2-211-1-1-1-1-1111111110022220000-1-1-1-1000000000-2-2-10000-111110000
χ26222222-12222222222-1-1-1-12-2-2-1-1-1-1-1-1-1-1-12221111-1-12-2-2-2-2-211-1-1-1-1-11111111100-2-2-2-20000111100000000022100001-1-1-1-10000
χ27222222-12-2-22222222-1-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-2−i3−i3i3i311-200000−i3i311111−i3−i3i3i3−i3−i3i3i3002-2-220000111100000000000-10000-1−i3i3−i3i30000
χ28222222-12-2-22222222-1-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-2−i3−i3i3i311-200000−i3i311111−i3−i3i3i3−i3−i3i3i300-222-20000-1-1-1-100000000000100001i3−i3i3−i30000
χ29222222-12-2-22222222-1-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-2i3i3−i3−i311-200000i3−i311111i3i3−i3−i3i3i3−i3−i3002-2-220000111100000000000-10000-1i3−i3i3−i30000
χ30222222-12-2-22222222-1-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-2i3i3−i3−i311-200000i3−i311111i3i3−i3−i3i3i3−i3−i300-222-20000-1-1-1-100000000000100001−i3i3−i3i30000
χ312222-2-222-2-22-2-2-2-2222222200-2-22-2-2-2-222-2220000-2-2-200000002-2-222000000000022-2-2000022-2-20000000000020000-200000000
χ322222-2-222-2-22-2-2-2-2222222200-2-22-2-2-2-222-2220000-2-2-200000002-2-2220000000000-2-2220000-2-22200000000000-20000200000000
χ332222-2-22-122-11111-1-1222-1-222-2-2-11111-1-1-111222222-1-2-1-111-2-2-2-1-111-1-1-1-1111122000022-2-20000-1-1-1-11111-2000-1-111000000000
χ342222-2-22-122-11111-1-1222-1-222-2-2-11111-1-1-111222222-1-2-1-111-2-2-2-1-111-1-1-1-11111-2-20000-2-22200001111-1-1-1-1200011-1-1000000000
χ352222-2-22-122-11111-1-1222-1-2-2-2-2-2-11111-1-1-111-2-2-2-222-1211-1-122-2-1-1111111-1-1-1-1220000-2-22200001111-1-1-1-1-2000-1-111000000000
χ362222-2-22-122-11111-1-1222-1-2-2-2-2-2-11111-1-1-111-2-2-2-222-1211-1-122-2-1-1111111-1-1-1-1-2-2000022-2-20000-1-1-1-11111200011-1-1000000000
χ372222-2-2-12222-2-2-2-222-1-1-1-1-22211-11111-1-12-2-2-1-1-1-1-1-12-222-2-2111-1-111-1-1-1-11111002-22-2000011-1-10000000002-2-100001-1-1110000
χ382222-2-2-12222-2-2-2-222-1-1-1-1-22211-11111-1-12-2-2-1-1-1-1-1-12-222-2-2111-1-111-1-1-1-1111100-22-220000-1-111000000000-2210000-111-1-10000
χ392222-2-2-12222-2-2-2-222-1-1-1-1-2-2-211-11111-1-12-2-21111-1-122-2-222-1-11-1-1111111-1-1-1-1002-22-2000011-1-1000000000-22-10000111-1-10000
χ402222-2-2-12222-2-2-2-222-1-1-1-1-2-2-211-11111-1-12-2-21111-1-122-2-222-1-11-1-1111111-1-1-1-100-22-220000-1-1110000000002-210000-1-1-1110000
χ412222-2-2-12-2-22-2-2-2-222-1-1-1-120011-11111-1-1-222−i3−i3i3i311-200000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i30022-2-20000-1-11100000000000-100001−i3i3i3−i30000
χ422222-2-2-12-2-22-2-2-2-222-1-1-1-120011-11111-1-1-222−i3−i3i3i311-200000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i300-2-222000011-1-10000000000010000-1i3−i3−i3i30000
χ432222-2-2-12-2-22-2-2-2-222-1-1-1-120011-11111-1-1-222i3i3−i3−i311-200000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i30022-2-20000-1-11100000000000-100001i3−i3−i3i30000
χ442222-2-2-12-2-22-2-2-2-222-1-1-1-120011-11111-1-1-222i3i3−i3−i311-200000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i300-2-222000011-1-10000000000010000-1−i3i3i3−i30000
χ452-22-200222-2-200002-2-2-22202i−2i00-200002-22002i−2i2i−2i2-2-202i−2i000002-2002i−2i2i−2i00002-200002i−2i0000002i2i−2i−2i000000002-200000000000
χ462-22-200222-2-200002-2-2-22202i−2i00-200002-22002i−2i2i−2i2-2-202i−2i000002-2002i−2i2i−2i0000-220000−2i2i000000−2i−2i2i2i00000000-2200000000000
χ472-22-200222-2-200002-2-2-2220−2i2i00-200002-2200−2i2i−2i2i2-2-20−2i2i000002-200−2i2i−2i2i00002-20000−2i2i000000−2i−2i2i2i000000002-200000000000
χ482-22-200222-2-200002-2-2-2220−2i2i00-200002-2200−2i2i−2i2i2-2-20−2i2i000002-200−2i2i−2i2i0000-2200002i−2i0000002i2i−2i−2i00000000-2200000000000
χ492-22-2002-12-21−i3−i3i3i3-11-2-22-102i−2i001−i3−i3i3i3-11-1−i3i32i−2i2i−2i2-210−ii3−3000-11−i3i3−ii−ii3−33−32-200002i−2i000000−i−iii33−3−30000-11−i3i3000000000
χ502-22-2002-12-21−i3−i3i3i3-11-2-22-102i−2i001−i3−i3i3i3-11-1−i3i32i−2i2i−2i2-210−ii3−3000-11−i3i3−ii−ii3−33−3-220000−2i2i000000ii−i−i−3−33300001-1i3−i3000000000
χ512-22-2002-12-21−i3−i3i3i3-11-2-22-10−2i2i001−i3−i3i3i3-11-1−i3i3−2i2i−2i2i2-210i−i−33000-11−i3i3i−ii−i−33−332-20000−2i2i000000ii−i−i−3−3330000-11−i3i3000000000
χ522-22-2002-12-21−i3−i3i3i3-11-2-22-10−2i2i001−i3−i3i3i3-11-1−i3i3−2i2i−2i2i2-210i−i−33000-11−i3i3i−ii−i−33−33-2200002i−2i000000−i−iii33−3−300001-1i3−i3000000000
χ532-22-2002-12-21i3i3−i3−i3-11-2-22-102i−2i001i3i3−i3−i3-11-1i3−i32i−2i2i−2i2-210−ii−33000-11i3−i3−ii−ii−33−332-200002i−2i000000−i−iii−3−3330000-11i3−i3000000000
χ542-22-2002-12-21i3i3−i3−i3-11-2-22-102i−2i001i3i3−i3−i3-11-1i3−i32i−2i2i−2i2-210−ii−33000-11i3−i3−ii−ii−33−33-220000−2i2i000000ii−i−i33−3−300001-1−i3i3000000000
χ552-22-2002-12-21i3i3−i3−i3-11-2-22-10−2i2i001i3i3−i3−i3-11-1i3−i3−2i2i−2i2i2-210i−i3−3000-11i3−i3i−ii−i3−33−32-20000−2i2i000000ii−i−i33−3−30000-11i3−i3000000000
χ562-22-2002-12-21i3i3−i3−i3-11-2-22-10−2i2i001i3i3−i3−i3-11-1i3−i3−2i2i−2i2i2-210i−i3−3000-11i3−i3i−ii−i3−33−3-2200002i−2i000000−i−iii−3−33300001-1−i3i3000000000
χ574444444-2-4-4-2-2-2-2-2-2-2444-2-40044-2-2-2-2-2-2-22220000-4-420000000-4222200000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-2-2-2-2-24-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-22222-2-2-2-4222222-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-21111111222−2i3−2i32i32i322200000−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-211111112222i32i3−2i3−2i3222000002i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ624444-4-44-2-4-4-22222-2-2444-2400-4-4-22222-2-22-2-20000-4-420000000422-2-200000000000000000000000000000000000000000000000
χ634444-4-4-2-244-22222-2-2-2-2-21-444221-1-1-1-111-222-2-2-2-2-2-2-2-4-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000000000
χ644444-4-4-2-244-22222-2-2-2-2-21-4-4-4221-1-1-1-111-2222222-2-2-2422-2-2-2-2211-1-1-1-1-1-11111000000000000000000000000000000000000000
χ654444-4-4-2-2-4-4-22222-2-2-2-2-21400221-1-1-1-1112-2-2−2i3−2i32i32i3222000002i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000
χ664444-4-4-2-2-4-4-22222-2-2-2-2-21400221-1-1-1-1112-2-22i32i3−2i3−2i322200000−2i32i3-2-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-400440040000-4-4-44-440000040000-4-400000000000000000000000000000000000000−2i22i200000000−2i22i2−2i22i200000000000000000
χ6844-4-400440040000-4-4-44-440000040000-4-4000000000000000000000000000000000000002i2−2i2000000002i2−2i22i2−2i200000000000000000
χ6944-4-4004-200-2−2i32i3−2i32i322-44-4-200000-2−2i32i3−2i32i32200000000000000000000000000000000000000−2i22i200006−66−6i2−i2i2−i200000000000000000
χ7044-4-4004-200-2−2i32i3−2i32i322-44-4-200000-2−2i32i3−2i32i322000000000000000000000000000000000000002i2−2i20000−66−66−i2i2−i2i200000000000000000
χ7144-4-4004-200-22i3−2i32i3−2i322-44-4-200000-22i3−2i32i3−2i32200000000000000000000000000000000000000−2i22i20000−66−66i2−i2i2−i200000000000000000
χ7244-4-4004-200-22i3−2i32i3−2i322-44-4-200000-22i3−2i32i3−2i322000000000000000000000000000000000000002i2−2i200006−66−6−i2i2−i2i200000000000000000
χ734-44-40044-44-400004-4-4-44400000-400004-4-4000000-44400000000-440000000000000000000000000000000000000000000000000
χ744-44-4004-2-442−2i3−2i32i32i3-22-4-44-2000002−2i3−2i32i32i3-2222i3−2i30000-44-2000000002-22i3−2i300000000000000000000000000000000000000000000000
χ754-44-4004-2-4422i32i3−2i3−2i3-22-4-44-20000022i32i3−2i3−2i3-222−2i32i30000-44-2000000002-2−2i32i300000000000000000000000000000000000000000000000
χ764-44-400-244-4-400004-422-2-204i−4i0020000-22400−2i2i−2i2i-22-404i−4i00000-2200−2i2i−2i2i0000000000000000000000000000000000000000000
χ774-44-400-244-4-400004-422-2-20−4i4i0020000-224002i−2i2i−2i-22-40−4i4i00000-22002i−2i2i−2i0000000000000000000000000000000000000000000
χ784-44-400-24-44-400004-422-2-20000020000-22-40023−23−23232-24000000002-20023−23−23230000000000000000000000000000000000000000000
χ794-44-400-24-44-400004-422-2-20000020000-22-400−232323−232-24000000002-200−232323−230000000000000000000000000000000000000000000
χ804-44-400-2-24-42−2i3−2i32i32i3-2222-2104i−4i00-1i3i3−i3−i31-1-2−2i32i3−2i2i−2i2i-2220−2i2i23−230001-1i3−i3i−ii−i−33−33000000000000000000000000000000000000000
χ814-44-400-2-24-42−2i3−2i32i32i3-2222-210−4i4i00-1i3i3−i3−i31-1-2−2i32i32i−2i2i−2i-22202i−2i−23230001-1i3−i3−ii−ii3−33−3000000000000000000000000000000000000000
χ824-44-400-2-24-422i32i3−2i3−2i3-2222-2104i−4i00-1−i3−i3i3i31-1-22i3−2i3−2i2i−2i2i-2220−2i2i−23230001-1−i3i3i−ii−i3−33−3000000000000000000000000000000000000000
χ834-44-400-2-24-422i32i3−2i3−2i3-2222-210−4i4i00-1−i3−i3i3i31-1-22i3−2i32i−2i2i−2i-22202i−2i23−230001-1−i3i3−ii−ii−33−33000000000000000000000000000000000000000
χ844-44-400-2-2-442−2i3−2i32i32i3-2222-2100000-1i3i3−i3−i31-122i3−2i323−23−23232-2-200000000-11−i3i3−333−3−3i3i3i−3i000000000000000000000000000000000000000
χ854-44-400-2-2-442−2i3−2i32i32i3-2222-2100000-1i3i3−i3−i31-122i3−2i3−232323−232-2-200000000-11−i3i33−3−333i−3i−3i3i000000000000000000000000000000000000000
χ864-44-400-2-2-4422i32i3−2i3−2i3-2222-2100000-1−i3−i3i3i31-12−2i32i323−23−23232-2-200000000-11i3−i3−333−33i−3i−3i3i000000000000000000000000000000000000000
χ874-44-400-2-2-4422i32i3−2i3−2i3-2222-2100000-1−i3−i3i3i31-12−2i32i3−232323−232-2-200000000-11i3−i33−3−33−3i3i3i−3i000000000000000000000000000000000000000
χ884-4-444-44400-44-4-44-444-4-440004-4-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ894-4-444-44-2002-222-22-24-4-4-20004-42-222-22-200000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000
χ904-4-444-44-2002-222-22-24-4-4-20004-42-222-22-200000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000
χ914-4-444-4-2400-44-4-44-44-222-2000-222-222-22-2000000000000000000000000000000000000000023−2323−230000000000000000000000000
χ924-4-444-4-2400-44-4-44-44-222-2000-222-222-22-20000000000000000000000000000000000000000−2323−23230000000000000000000000000
χ934-4-44-444400-4-444-4-444-4-44000-44-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-444-20022-2-222-24-4-4-2000-4422-2-222-200000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000
χ954-4-44-444-20022-2-222-24-4-4-2000-4422-2-222-200000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000
χ964-4-44-44-2400-4-444-4-44-222-20002-222-2-222-2000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ974-4-44-44-2400-4-444-4-44-222-20002-222-2-222-20000000000000000000000000000000000000000−232323−230000000000000000000000000
χ9888-8-800-480080000-8-84-44-400000-4000044000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400-4−4i34i3−4i34i3444-4420000022i3−2i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-4-400-44i3−4i34i3−4i3444-442000002−2i32i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-4-4004-444-44-4-4442000-44-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-88-4-40044-4-444-4-44420004-4-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000

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