Finite Group Databasebeta

← Group #11870689

Character table — Group #11870689

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444434466688121212122424242444441212121241212121212121212242424242424224448888121212122424242412121212124444661212121212242424488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-1-1-11111-1-1111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1111111-1-11-1-111-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11-1-111-1-11-111-1-1-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-1111-1-1-1-111-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-111-1-1111111-111-1-1-1-11-1111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-111-1-1-11-1-1111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-11111-1-1-1-111111-1-11111-1-111-111-1-1111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-20000000000-20000-2-222000000000220000-2000000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000000020000-2-2-2-2000000000-2-2000020000002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-20000000000-200002222000000000-2-20000-20000002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002000022-2-20000000002200002000000-2000000
χ2122222-122-122-1-120000-122-1-1-122-122-1222200220000222-1-122-1-1-1-1-1-1-1-122002220000-1-10000-1-1-1-1-10002-1-1-10000-1-100000-10
χ2222222-122-122-1-120000-122-1-1-122-122-1222200-2-20000222-1-122-1-1-1-1-1-1-1-1-2-200-2-2-20000110000-1-1-1-1-1000-21110000110000010
χ2322222-122-122-1-120000-122-1-1-1-2-2-122-1-2-2-2-200220000-222-1-1-2-2-1-111111122002-2-20000-1-100001-1-111000-2-1-1-10000110000010
χ2422222-122-122-1-120000-122-1-1-1-2-2-122-1-2-2-2-200-2-20000-222-1-1-2-2-1-1111111-2-200-22200001100001-1-11100021110000-1-100000-10
χ2522222-122-122-1-120000-1-2-2-1-1-122-122-1222200220000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-2002220000-1-1000011111000-211-10000-1-10000010
χ2622222-122-122-1-120000-1-2-2-1-1-122-122-1222200-2-20000-2-2-211-2-2-1-1-1-1-1-1-1-12200-2-2-20000110000111110002-1-1100001100000-10
χ2722222-122-122-1-120000-1-2-2-1-1-1-2-2-122-1-2-2-2-2002200002-2-21122-1-1111111-2-2002-2-20000-1-10000-111-1-1000211-100001100000-10
χ2822222-122-122-1-120000-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-200002-2-21122-1-11111112200-2220000110000-111-1-1000-2-1-110000-1-10000010
χ292222-12222-1-122-12222-122-1-1-1222-1-12-1-1-1-12200-1-1-1-12-1-122-1-1-1-122-1-1-1-1002200022-1-100-1-1-1-12-1-1-1-10020000-1-1-1-1000000000
χ302222-12222-1-122-12222-122-1-1-1-2-22-1-1211112200-1-1-1-1-2-1-12211-1-1-2-211110022000-2-2-1-1001111-2-1-11100-20000-1-111000000000
χ312222-12222-1-122-12222-1-2-2-1-1-1222-1-12-1-1-1-12200-1-1-1-1-211-2-211-1-122-1-1-1-100-2-200022-1-100-1-1-1-1-2111100-200001111000000000
χ322222-12222-1-122-12222-1-2-2-1-1-1-2-22-1-1211112200-1-1-1-1211-2-2-1-1-1-1-2-2111100-2-2000-2-2-1-1001111211-1-1002000011-1-1000000000
χ332222-12222-1-122-1-2-2-2-2-122-1-1-1222-1-12-1-1-1-1-2-20011112-1-122-1-1-1-122-1-1-1-100-2-2000-2-2110011112-1-1-1-100-200001111000000000
χ342222-12222-1-122-1-2-2-2-2-122-1-1-1-2-22-1-121111-2-2001111-2-1-12211-1-1-2-2111100-2-2000221100-1-1-1-1-2-1-111002000011-1-1000000000
χ352222-12222-1-122-1-2-2-2-2-1-2-2-1-1-1222-1-12-1-1-1-1-2-2001111-211-2-211-1-122-1-1-1-10022000-2-211001111-211110020000-1-1-1-1000000000
χ362222-12222-1-122-1-2-2-2-2-1-2-2-1-1-1-2-22-1-121111-2-2001111211-2-2-1-1-1-1-2-211110022000221100-1-1-1-1211-1-100-20000-1-111000000000
χ372-22-2222-22-2-2-2-222i2i−2i−2i22i−2i-22-200-22-2200002i−2i002i2i−2i−2i02i−2i2i−2i00-22000000002-2000002i−2i00000002i−2i0000000002-200000000000
χ382-22-2222-22-2-2-2-222i2i−2i−2i2−2i2i-22-200-22-2200002i−2i002i2i−2i−2i0−2i2i−2i2i00-2200000000-22000002i−2i0000000−2i2i000000000-2200000000000
χ392-22-2222-22-2-2-2-22−2i−2i2i2i22i−2i-22-200-22-220000−2i2i00−2i−2i2i2i02i−2i2i−2i00-2200000000-2200000−2i2i00000002i−2i000000000-2200000000000
χ402-22-2222-22-2-2-2-22−2i−2i2i2i2−2i2i-22-200-22-220000−2i2i00−2i−2i2i2i0−2i2i−2i2i00-22000000002-200000−2i2i0000000−2i2i0000000002-200000000000
χ412-22-222-222-2-2-2-222i2i−2i−2i200-22-2002-22-20000−2i2i002i2i−2i−2i00000002-20000002-20000000−2i2i0000000000000002-2000000002i−2i0000
χ422-22-222-222-2-2-2-222i2i−2i−2i200-22-2002-22-20000−2i2i002i2i−2i−2i00000002-2000000-220000000−2i2i000000000000000-2200000000−2i2i0000
χ432-22-222-222-2-2-2-22−2i−2i2i2i200-22-2002-22-200002i−2i00−2i−2i2i2i00000002-20000002-200000002i−2i0000000000000002-200000000−2i2i0000
χ442-22-222-222-2-2-2-22−2i−2i2i2i200-22-2002-22-200002i−2i00−2i−2i2i2i00000002-2000000-2200000002i−2i000000000000000-22000000002i−2i0000
χ452-22-2-122-2211-2-2-12i2i−2i−2i-12i−2i1-1100-2-112−i3−i3i3i32i−2i00−i−iii0−ii2i−2i3−31-100−i3−i3i3i3002-200000−ii0033−3−30−ii3−30000000-11−i3i3000000000
χ462-22-2-122-2211-2-2-12i2i−2i−2i-12i−2i1-1100-2-112i3i3−i3−i32i−2i00−i−iii0−ii2i−2i−331-100i3i3−i3−i3002-200000−ii00−3−3330−ii−330000000-11i3−i3000000000
χ472-22-2-122-2211-2-2-12i2i−2i−2i-1−2i2i1-1100-2-112−i3−i3i3i32i−2i00−i−iii0i−i−2i2i−331-100−i3−i3i3i300-2200000−ii0033−3−30i−i−3300000001-1i3−i3000000000
χ482-22-2-122-2211-2-2-12i2i−2i−2i-1−2i2i1-1100-2-112i3i3−i3−i32i−2i00−i−iii0i−i−2i2i3−31-100i3i3−i3−i300-2200000−ii00−3−3330i−i3−300000001-1−i3i3000000000
χ492-22-2-122-2211-2-2-1−2i−2i2i2i-12i−2i1-1100-2-112−i3−i3i3i3−2i2i00ii−i−i0−ii2i−2i3−31-100−i3−i3i3i300-2200000i−i00−3−3330−ii3−300000001-1i3−i3000000000
χ502-22-2-122-2211-2-2-1−2i−2i2i2i-12i−2i1-1100-2-112i3i3−i3−i3−2i2i00ii−i−i0−ii2i−2i−331-100i3i3−i3−i300-2200000i−i0033−3−30−ii−3300000001-1−i3i3000000000
χ512-22-2-122-2211-2-2-1−2i−2i2i2i-1−2i2i1-1100-2-112−i3−i3i3i3−2i2i00ii−i−i0i−i−2i2i−331-100−i3−i3i3i3002-200000i−i00−3−3330i−i−330000000-11−i3i3000000000
χ522-22-2-122-2211-2-2-1−2i−2i2i2i-1−2i2i1-1100-2-112i3i3−i3−i3−2i2i00ii−i−i0i−i−2i2i3−31-100i3i3−i3−i3002-200000i−i0033−3−30i−i3−30000000-11i3−i3000000000
χ532-2-222200-22-2-22-22-22-22002-2-22−200002−22−2002i−2i2-22-20000000002−22−22−200000−i2i22−2002i−2i2−22−2000002i−2i000000000−i2i2000−i2i200
χ542-2-222200-22-2-22-22-22-22002-2-22−200002−22−200−2i2i2-22-20000000002−22−22−200000i2−i22−200−2i2i2−22−200000−2i2i000000000i2−i2000i2−i200
χ552-2-222200-22-2-22-22-22-22002-2-2−220000−22−22002i−2i2-22-2000000000−22−22−2200000i2−i2−22002i−2i−22−22000002i−2i000000000i2−i2000i2−i200
χ562-2-222200-22-2-22-22-22-22002-2-2−220000−22−2200−2i2i2-22-2000000000−22−22−2200000−i2i2−2200−2i2i−22−2200000−2i2i000000000−i2i2000−i2i200
χ572-2-222200-22-2-22-2-22-222002-2-22−200002−22−2002i−2i-22-220000000002−22−22−200000−i2i2−22002i−2i−22−2200000−2i2i000000000−i2i2000i2−i200
χ582-2-222200-22-2-22-2-22-222002-2-22−200002−22−200−2i2i-22-220000000002−22−22−200000i2−i2−2200−2i2i−22−22000002i−2i000000000i2−i2000−i2i200
χ592-2-222200-22-2-22-2-22-222002-2-2−220000−22−22002i−2i-22-22000000000−22−22−2200000i2−i22−2002i−2i2−22−200000−2i2i000000000i2−i2000−i2i200
χ602-2-222200-22-2-22-2-22-222002-2-2−220000−22−2200−2i2i-22-22000000000−22−22−2200000−i2i22−200−2i2i2−22−2000002i−2i000000000−i2i2000i2−i200
χ6144444-2-4-4-244-2-240000-200-2-2-2002-4-420000004400000000000220000000000-4000000-2-200000000000000020000000000000
χ6244444-2-4-4-244-2-240000-200-2-2-2002-4-42000000-4-400000000000220000000000400000022000000000000000-20000000000000
χ634444-24-4-44-2-244-24444-200-2-2-200-422-40000-4-400-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ644444-24-4-44-2-244-2-4-4-4-4-200-2-2-200-422-4000044002222000000022000000000000000-2-20000000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2000014411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44400-4-444-4-44i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-44400-4-444-4-4−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-4-2400-42-24-424i−4i−4i4i-20022-2000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ7244-4-4-2400-42-24-424i−4i−4i4i-20022-2000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ7344-4-4-2400-42-24-42−4i4i4i−4i-20022-2000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ7444-4-4-2400-42-24-42−4i4i4i−4i-20022-2000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ754-44-44-24-4-2-4-42240000-24i−4i2-220024-4-200000000000004i−4i−2i2i002-2000000000000000000000000−2i2i0000000000000000000000
χ764-44-44-24-4-2-4-42240000-2−4i4i2-220024-4-20000000000000−4i4i2i−2i002-20000000000000000000000002i−2i0000000000000000000000
χ774-44-44-2-44-2-4-42240000-2002-2200-2-4420000000000000000000-220000004-4000000000000000000000000-2200000000000000
χ784-44-44-2-44-2-4-42240000-2002-2200-2-4420000000000000000000-22000000-440000000000000000000000002-200000000000000
χ794-44-4-24-44422-4-4-24i4i−4i−4i-2002-220042-2-40000−4i4i00−2i−2i2i2i0000000-220000000000000002i−2i0000000000000000000000000000000
χ804-44-4-24-44422-4-4-2−4i−4i4i4i-2002-220042-2-400004i−4i002i2i−2i−2i0000000-22000000000000000−2i2i0000000000000000000000000000000
χ814-44-4-2-24-4-22222-2000014i−4i-11-1002-22-2−2i3−2i32i32i3000000000−2i2i−2i2i23−23-1100i3i3−i3−i3000000000000000000i−i−3300000000000000000000
χ824-44-4-2-24-4-22222-2000014i−4i-11-1002-22-22i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i3000000000000000000i−i3−300000000000000000000
χ834-44-4-2-24-4-22222-200001−4i4i-11-1002-22-2−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i3000000000000000000−ii3−300000000000000000000
χ844-44-4-2-24-4-22222-200001−4i4i-11-1002-22-22i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i3000000000000000000−ii−3300000000000000000000
χ854-4-444-20024-42-2-40000-200-22222−22000022−2222−22004i−4i0000000000000−22−22−2200000−2i22i20000−2i2i00000000000000000000i2−i20000000
χ864-4-444-20024-42-2-40000-200-22222−22000022−2222−2200−4i4i0000000000000−22−22−22000002i2−2i200002i−2i00000000000000000000−i2i20000000
χ874-4-444-20024-42-2-40000-200-222−22220000−2222−2222004i−4i00000000000002−22−22−2000002i2−2i20000−2i2i00000000000000000000−i2i20000000
χ884-4-444-20024-42-2-40000-200-222−22220000−2222−222200−4i4i00000000000002−22−22−200000−2i22i200002i−2i00000000000000000000i2−i20000000
χ894-4-44-2400-4-22-4424-44-4-200-22222−220000−22−220000-22-2200000000022−22−22−22000000022−220000−22−220000000000000000000000000
χ904-4-44-2400-4-22-4424-44-4-200-222−222200002−22−20000-22-22000000000−22222−22−20000000−222200002−22−20000000000000000000000000
χ914-4-44-2400-4-22-442-44-44-200-22222−220000−22−2200002-22-200000000022−22−22−220000000−222200002−22−20000000000000000000000000
χ924-4-44-2400-4-22-442-44-44-200-222−222200002−22−200002-22-2000000000−22222−22−2000000022−220000−22−220000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-88-4004-88-44-80000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-40044-4-4440000200-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ9688-8-8-4-40044-4-4440000200-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ978-88-8-4-4-88-44444-40000200-22-200-44-4400000000000000000002-2000000000000000000000000000000000000000000000000
χ988-8-88-4-4004-444-4400002002-2-242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ998-8-88-4-4004-444-4400002002-2-2−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000

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