Finite Group Databasebeta

← Group #11870680

Character table — Group #11870680

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424444412121212266121212121212242424242424224448888121212122424242466612124444661212121212242424488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-1-1-11111-1-1111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1111111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1-111-1-1-11111
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
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-11111-1-11-1-111-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-1111-1-1-1-111-1-1-1-111111-1-11-1111-1-1-1-111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-111-1-1111111-1-1-111-1-1-11111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-111-1-1-11
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
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111111-1-1-1-11-1-1-1111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-11111-1-1-1-11111111-1-111-1-111-111-1-1111-1-1-1-1-11
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
χ2122222-122-12-12-120000-122-1-1-122-122-122220022000022222-1-1-1-1-1-1-1-1-1-122002220000-1-10000-1-1-1-1-10020-1-1-10000-1-100000-10
χ2222222-122-12-12-120000-122-1-1-122-122-1222200-2-2000022222-1-1-1-1-1-1-1-1-1-1-2-200-2-2-20000110000-1-1-1-1-100-201110000110000010
χ2322222-122-12-12-120000-122-1-1-1-2-2-122-1-2-2-2-200220000-2-2-222-1-1-1-111111122002-2-20000-1-10000111-1-100-20-1-1-10000110000010
χ2422222-122-12-12-120000-122-1-1-1-2-2-122-1-2-2-2-200-2-20000-2-2-222-1-1-1-1111111-2-200-2220000110000111-1-100201110000-1-100000-10
χ2522222-122-12-12-120000-1-2-2-1-1-122-122-1222200220000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-2002220000-1-100001111100-2011-10000-1-10000010
χ2622222-122-12-12-120000-1-2-2-1-1-122-122-1222200-2-20000-2-2-2-2-211-1-1-1-1-1-1-1-12200-2-2-20000110000111110020-1-1100001100000-10
χ2722222-122-12-12-120000-1-2-2-1-1-1-2-2-122-1-2-2-2-200220000222-2-211-1-1111111-2-2002-2-20000-1-10000-1-1-111002011-100001100000-10
χ2822222-122-12-12-120000-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-20000222-2-211-1-11111112200-2220000110000-1-1-11100-20-1-110000-1-10000010
χ292222-12222-12-12-12222-122-1-1-1222-1-12-1-1-1-12200-1-1-1-12-1-1-1-122-1-122-1-1-1-1002200022-1-100-1-1-1-12-1-1-1-10002000-1-1-1-1000000000
χ302222-12222-12-12-12222-122-1-1-1-2-22-1-1211112200-1-1-1-1-211-1-122-1-1-2-211110022000-2-2-1-1001111-211-1-1000-2000-1-111000000000
χ312222-12222-12-12-12222-1-2-2-1-1-1222-1-12-1-1-1-12200-1-1-1-1-21111-2-2-1-122-1-1-1-100-2-200022-1-100-1-1-1-1-21111000-20001111000000000
χ322222-12222-12-12-12222-1-2-2-1-1-1-2-22-1-1211112200-1-1-1-12-1-111-2-2-1-1-2-2111100-2-2000-2-2-1-10011112-1-111000200011-1-1000000000
χ332222-12222-12-12-1-2-2-2-2-122-1-1-1222-1-12-1-1-1-1-2-20011112-1-1-1-122-1-122-1-1-1-100-2-2000-2-2110011112-1-1-1-1000-20001111000000000
χ342222-12222-12-12-1-2-2-2-2-122-1-1-1-2-22-1-121111-2-2001111-211-1-122-1-1-2-2111100-2-2000221100-1-1-1-1-211-1-1000200011-1-1000000000
χ352222-12222-12-12-1-2-2-2-2-1-2-2-1-1-1222-1-12-1-1-1-1-2-2001111-21111-2-2-1-122-1-1-1-10022000-2-211001111-211110002000-1-1-1-1000000000
χ362222-12222-12-12-1-2-2-2-2-1-2-2-1-1-1-2-22-1-121111-2-20011112-1-111-2-2-1-1-2-211110022000221100-1-1-1-12-1-111000-2000-1-111000000000
χ3722-2-2222-2-2-2-222-22i2i−2i−2i200-22-200-22-2200002i−2i002i2i−2i−2i0000000-220000002-200000002i−2i0000000000000002-2000000002i−2i0000
χ3822-2-2222-2-2-2-222-22i2i−2i−2i200-22-200-22-2200002i−2i002i2i−2i−2i0000000-22000000-2200000002i−2i000000000000000-2200000000−2i2i0000
χ3922-2-2222-2-2-2-222-2−2i−2i2i2i200-22-200-22-220000−2i2i00−2i−2i2i2i0000000-220000002-20000000−2i2i0000000000000002-200000000−2i2i0000
χ4022-2-2222-2-2-2-222-2−2i−2i2i2i200-22-200-22-220000−2i2i00−2i−2i2i2i0000000-22000000-220000000−2i2i000000000000000-22000000002i−2i0000
χ4122-2-222-22-2-2-222-22i2i−2i−2i22i−2i-22-2002-22-20000−2i2i002i2i−2i−2i0002i−2i2i−2i2-2000000002-200000−2i2i0000000002i−2i00000002-200000000000
χ4222-2-222-22-2-2-222-22i2i−2i−2i2−2i2i-22-2002-22-20000−2i2i002i2i−2i−2i000−2i2i−2i2i2-200000000-2200000−2i2i000000000−2i2i0000000-2200000000000
χ4322-2-222-22-2-2-222-2−2i−2i2i2i22i−2i-22-2002-22-200002i−2i00−2i−2i2i2i0002i−2i2i−2i2-200000000-22000002i−2i0000000002i−2i0000000-2200000000000
χ4422-2-222-22-2-2-222-2−2i−2i2i2i2−2i2i-22-2002-22-200002i−2i00−2i−2i2i2i000−2i2i−2i2i2-2000000002-2000002i−2i000000000−2i2i00000002-200000000000
χ4522-2-2-12-22-21-2-1212i2i−2i−2i-12i−2i1-110021-1-233−3−3−2i2i00−i−iii0−i3i3−ii2i−2i-110033−3−3002-200000i−i00−i3−i3i3i30−i3i3−ii0000000-113−3000000000
χ4622-2-2-12-22-21-2-1212i2i−2i−2i-12i−2i1-110021-1-2−3−333−2i2i00−i−iii0i3−i3−ii2i−2i-1100−3−333002-200000i−i00i3i3−i3−i30i3−i3−ii0000000-11−33000000000
χ4722-2-2-12-22-21-2-1212i2i−2i−2i-1−2i2i1-110021-1-233−3−3−2i2i00−i−iii0i3−i3i−i−2i2i-110033−3−300-2200000i−i00−i3−i3i3i30i3−i3i−i00000001-1−33000000000
χ4822-2-2-12-22-21-2-1212i2i−2i−2i-1−2i2i1-110021-1-2−3−333−2i2i00−i−iii0−i3i3i−i−2i2i-1100−3−33300-2200000i−i00i3i3−i3−i30−i3i3i−i00000001-13−3000000000
χ4922-2-2-12-22-21-2-121−2i−2i2i2i-12i−2i1-110021-1-233−3−32i−2i00ii−i−i0−i3i3−ii2i−2i-110033−3−300-2200000−ii00i3i3−i3−i30−i3i3−ii00000001-1−33000000000
χ5022-2-2-12-22-21-2-121−2i−2i2i2i-12i−2i1-110021-1-2−3−3332i−2i00ii−i−i0i3−i3−ii2i−2i-1100−3−33300-2200000−ii00−i3−i3i3i30i3−i3−ii00000001-13−3000000000
χ5122-2-2-12-22-21-2-121−2i−2i2i2i-1−2i2i1-110021-1-233−3−32i−2i00ii−i−i0i3−i3i−i−2i2i-110033−3−3002-200000−ii00i3i3−i3−i30i3−i3i−i0000000-113−3000000000
χ5222-2-2-12-22-21-2-121−2i−2i2i2i-1−2i2i1-110021-1-2−3−3332i−2i00ii−i−i0−i3i3i−i−2i2i-1100−3−333002-200000−ii00−i3−i3i3i30−i3i3i−i0000000-11−33000000000
χ532-2-2222002-2-2-2-222-22-22002-2-2−i2i20000−i2i2−i2i2002i−2i2-22-2000000000−i2i2−i2i2−i2i2000002−2−i2i2002i−2i−i2i2−i2i2000002i−2i0000000002−20002−200
χ542-2-2222002-2-2-2-222-22-22002-2-2−i2i20000−i2i2−i2i200−2i2i2-22-2000000000−i2i2−i2i2−i2i200000−22−i2i200−2i2i−i2i2−i2i200000−2i2i000000000−22000−2200
χ552-2-2222002-2-2-2-222-22-22002-2-2i2−i20000i2−i2i2−i2002i−2i2-22-2000000000i2−i2i2−i2i2−i200000−22i2−i2002i−2ii2−i2i2−i2000002i−2i000000000−22000−2200
χ562-2-2222002-2-2-2-222-22-22002-2-2i2−i20000i2−i2i2−i200−2i2i2-22-2000000000i2−i2i2−i2i2−i2000002−2i2−i200−2i2ii2−i2i2−i200000−2i2i0000000002−20002−200
χ572-2-2222002-2-2-2-22-22-222002-2-2−i2i20000−i2i2−i2i2002i−2i-22-22000000000−i2i2−i2i2−i2i2000002−2i2−i2002i−2ii2−i2i2−i200000−2i2i0000000002−2000−2200
χ582-2-2222002-2-2-2-22-22-222002-2-2−i2i20000−i2i2−i2i200−2i2i-22-22000000000−i2i2−i2i2−i2i200000−22i2−i200−2i2ii2−i2i2−i2000002i−2i000000000−220002−200
χ592-2-2222002-2-2-2-22-22-222002-2-2i2−i20000i2−i2i2−i2002i−2i-22-22000000000i2−i2i2−i2i2−i200000−22−i2i2002i−2i−i2i2−i2i200000−2i2i000000000−220002−200
χ602-2-2222002-2-2-2-22-22-222002-2-2i2−i20000i2−i2i2−i200−2i2i-22-22000000000i2−i2i2−i2i2−i2000002−2−i2i200−2i2i−i2i2−i2i2000002i−2i0000000002−2000−2200
χ6144444-2-4-4-24-24-240000-200-2-2-2002-4-420000004400000000000220000000000-4000000-2-200000000000000020000000000000
χ6244444-2-4-4-24-24-240000-200-2-2-2002-4-42000000-4-400000000000220000000000400000022000000000000000-20000000000000
χ634444-24-4-44-24-24-24444-200-2-2-200-422-40000-4-400-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ644444-24-4-44-24-24-2-4-4-4-4-200-2-2-200-422-4000044002222000000022000000000000000-2-20000000000000000000000000000000
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
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-1000000000000000002-1-11100000000000000000000
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
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-100000000000000000-211-1-100000000000000000000
χ6944-4-44-24-42-424-2-40000-2002-220024-4-200000000000000000002-20000004-4000000000000000000000000-2200000000000000
χ7044-4-44-24-42-424-2-40000-2002-220024-4-200000000000000000002-2000000-440000000000000000000000002-200000000000000
χ7144-4-44-2-442-424-2-40000-24i−4i2-2200-2-4420000000000000004i−4i−2i2i-2200000000000000000000000000−2i2i00000000000000000000
χ7244-4-44-2-442-424-2-40000-2−4i4i2-2200-2-442000000000000000−4i4i2i−2i-22000000000000000000000000002i−2i00000000000000000000
χ7344-4-4-244-4-42-4-2424i4i−4i−4i-2002-2200-4-22400004i−4i00−2i−2i2i2i00000002-2000000000000000−2i2i0000000000000000000000000000000
χ7444-4-4-244-4-42-4-242−4i−4i4i4i-2002-2200-4-2240000−4i4i002i2i−2i−2i00000002-20000000000000002i−2i0000000000000000000000000000000
χ7544-4-4-2-2-44222-2-22000014i−4i-11-100-22-222323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−333000000000000000000i3−i3i−i00000000000000000000
χ7644-4-4-2-2-44222-2-22000014i−4i-11-100-22-22−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−3000000000000000000−i3i3i−i00000000000000000000
χ7744-4-4-2-2-44222-2-2200001−4i4i-11-100-22-222323−23−230000000002i3−2i32i−2i2i−2i1-100−3−333000000000000000000−i3i3−ii00000000000000000000
χ7844-4-4-2-2-44222-2-2200001−4i4i-11-100-22-22−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−3000000000000000000i3−i3−ii00000000000000000000
χ794-44-44400-444-4-4-44i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ804-44-44400-444-4-4-4−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ814-44-4-2400-4-242-424i−4i−4i4i-20022-2000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ824-44-4-2400-4-242-424i−4i−4i4i-20022-2000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ834-44-4-2400-4-242-42−4i4i4i−4i-20022-2000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ844-44-4-2400-4-242-42−4i4i4i−4i-20022-2000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ854-4-444-200-2-42-4240000-200-222−2i22i20000−2i22i2−2i22i2004i−4i0000000000000i2−i2i2−i2i2−i20000022−220000−2i2i00000000000000000000−220000000
χ864-4-444-200-2-42-4240000-200-222−2i22i20000−2i22i2−2i22i200−4i4i0000000000000i2−i2i2−i2i2−i200000−222200002i−2i000000000000000000002−20000000
χ874-4-444-200-2-42-4240000-200-2222i2−2i200002i2−2i22i2−2i2004i−4i0000000000000−i2i2−i2i2−i2i200000−22220000−2i2i000000000000000000002−20000000
χ884-4-444-200-2-42-4240000-200-2222i2−2i200002i2−2i22i2−2i200−4i4i0000000000000−i2i2−i2i2−i2i20000022−2200002i−2i00000000000000000000−220000000
χ894-4-44-240042-42-4-24-44-4-200-222−2i22i20000i2−i2i2−i20000-22-22000000000−2i22i2i2−i2i2−i20000000−2i22i20000i2−i2i2−i20000000000000000000000000
χ904-4-44-240042-42-4-24-44-4-200-2222i2−2i20000−i2i2−i2i20000-22-220000000002i2−2i2−i2i2−i2i200000002i2−2i20000−i2i2−i2i20000000000000000000000000
χ914-4-44-240042-42-4-2-44-44-200-222−2i22i20000i2−i2i2−i200002-22-2000000000−2i22i2i2−i2i2−i200000002i2−2i20000−i2i2−i2i20000000000000000000000000
χ924-4-44-240042-42-4-2-44-44-200-2222i2−2i20000−i2i2−i2i200002-22-20000000002i2−2i2−i2i2−i2i20000000−2i22i20000i2−i2i2−i20000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-48-8444-4-440000200-22-2004-44-40000000000000000000-22000000000000000000000000000000000000000000000000
χ958-88-88-40048-4-84-80000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-4-44440000200-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ978-88-8-4-4004-4-44440000200-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ988-8-88-4-400-44444-400002002-2-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ998-8-88-4-400-44444-400002002-2-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000

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