Finite Group Databasebeta

← Group #11872163

Character table — Group #11872163

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122233444444666666121212123666121212121212121212121212121244121212121212121212121212121212121212121222224444888824242424242424246666881212121224242424244424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-111-1-1-11
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-11-1-111-1-111-1-1111-1
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1111-111-1-111-1-1-1-1111-1
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111111-1-11111-1-1-11
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-11-1-1-1-1-1-11111-1-11-1
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1-11111-1-1-1-111-11
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-111-1111-1-1-1-111-1-111-11
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-1111111-1-111-1-11-1
χ1722222222-2-2-2-22222222222222222-2-2-2-22222-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-22222222222222222-2-2-2-22222-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000000-222-200
χ19222222-2-222-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-20000000000-2-2220000000000000000000000000000000000000000002-22-200
χ20222222-2-222-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-20000000000-2-222000000000000000000000000000000000000000000-22-2200
χ2122222-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-1-1-10000-1-1000000000000
χ2222222-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-21111111111000011000000000000
χ2322222-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-2-2-2-21111-2-2-1-1-1-11111111122002200-2-2-2-211111111-1-10000-1-1000000000000
χ2422222-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-2-2-2-21111-2-2-1-1-1-111111111-2-200-2-2002222-1-1-1-1-1-1-1-111000011000000000000
χ2522222-1-2-2-2-22222-1-1-121111-1-1-1-1-2-211-2-2111122-1-12-222-1-111-2-2-1-111-1-1-1-111112200-2-20022-2-2-1-1-1-11111-1-1000011000000000000
χ2622222-1-2-2-2-22222-1-1-121111-1-1-1-1-2-211-2-2111122-1-12-222-1-111-2-2-1-111-1-1-1-11111-2-2002200-2-2221111-1-1-1-1110000-1-1000000000000
χ2722222-1-2-2-2-22222-1-1-121111-1-1-1-1-2-211-2-2111122-1-1-22-2-211-1-122-1-1111111-1-1-1-12200-2-200-2-2221111-1-1-1-1-1-1000011000000000000
χ2822222-1-2-2-2-22222-1-1-121111-1-1-1-1-2-211-2-2111122-1-1-22-2-211-1-122-1-1111111-1-1-1-1-2-200220022-2-2-1-1-1-11111110000-1-1000000000000
χ292222-12222222-1-1222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000000-1-12200-1-1-1-1-1-1000000
χ302222-12222222-1-1222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000000011-2-200111111000000
χ312222-12222222-1-1222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-1111111110022002200000000000000-1-1-2-200-1-11111000000
χ322222-12222222-1-1222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-11111111100-2-200-2-20000000000000011220011-1-1-1-1000000
χ332222-12-2-2-2-222-1-1222-1-2-2-2-2-1-1-1-111-2-2111111-1-1222-2-1-122-2-211-1-111-1-1-1-11111002200-2-200000000000000-1-12-20011-1-111000000
χ342222-12-2-2-2-222-1-1222-1-2-2-2-2-1-1-1-111-2-2111111-1-1222-2-1-122-2-211-1-111-1-1-1-1111100-2-200220000000000000011-2200-1-111-1-1000000
χ352222-12-2-2-2-222-1-1222-1-2-2-2-2-1-1-1-111-2-2111111-1-122-2211-2-222-1-1-1-1111111-1-1-1-1002200-2-200000000000000-1-1-22001111-1-1000000
χ362222-12-2-2-2-222-1-1222-1-2-2-2-2-1-1-1-111-2-2111111-1-122-2211-2-222-1-1-1-1111111-1-1-1-100-2-2002200000000000000112-200-1-1-1-111000000
χ3722-2-2222i−2i2i−2i2-2-222-2-2-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i00000000002-2002i−2i000000000000002-200002i−2i0000000000
χ3822-2-2222i−2i2i−2i2-2-222-2-2-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i0000000000-2200−2i2i00000000000000-220000−2i2i0000000000
χ3922-2-2222i−2i−2i2i-22-222-2-2-22i2i−2i−2i2-22-22i−2i−2i2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i000000002-2002i−2i000000000000002-200002i−2i000000000000
χ4022-2-2222i−2i−2i2i-22-222-2-2-22i2i−2i−2i2-22-22i−2i−2i2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i00000000-2200−2i2i00000000000000-220000−2i2i000000000000
χ4122-2-222−2i2i2i−2i-22-222-2-2-2−2i−2i2i2i2-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i000000002-200−2i2i000000000000002-20000−2i2i000000000000
χ4222-2-222−2i2i2i−2i-22-222-2-2-2−2i−2i2i2i2-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i00000000-22002i−2i00000000000000-2200002i−2i000000000000
χ4322-2-222−2i2i−2i2i2-2-222-2-2-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i00000000002-200−2i2i000000000000002-20000−2i2i0000000000
χ4422-2-222−2i2i−2i2i2-2-222-2-2-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i0000000000-22002i−2i00000000000000-2200002i−2i0000000000
χ4522-2-22-12i−2i−2i2i-22-22-111-2−i−iii-11-112i−2ii−i−2i2i−i−iii-221-10000−i3i33−3001-1i−i−i3−i3i3i333−3−32-2002i−2i000000−i3−i3i3i333−3−3-110000−ii000000000000
χ4622-2-22-12i−2i−2i2i-22-22-111-2−i−iii-11-112i−2ii−i−2i2i−i−iii-221-10000−i3i33−3001-1i−i−i3−i3i3i333−3−3-2200−2i2i000000i3i3−i3−i3−3−3331-10000i−i000000000000
χ4722-2-22-12i−2i−2i2i-22-22-111-2−i−iii-11-112i−2ii−i−2i2i−i−iii-221-10000i3−i3−33001-1i−ii3i3−i3−i3−3−3332-2002i−2i000000i3i3−i3−i3−3−333-110000−ii000000000000
χ4822-2-22-12i−2i−2i2i-22-22-111-2−i−iii-11-112i−2ii−i−2i2i−i−iii-221-10000i3−i3−33001-1i−ii3i3−i3−i3−3−333-2200−2i2i000000−i3−i3i3i333−3−31-10000i−i000000000000
χ4922-2-22-1−2i2i2i−2i-22-22-111-2ii−i−i-11-11−2i2i−ii2i−2iii−i−i-221-10000−i3i3−33001-1−ii−i3−i3i3i3−3−3332-200−2i2i000000−i3−i3i3i3−3−333-110000i−i000000000000
χ5022-2-22-1−2i2i2i−2i-22-22-111-2ii−i−i-11-11−2i2i−ii2i−2iii−i−i-221-10000−i3i3−33001-1−ii−i3−i3i3i3−3−333-22002i−2i000000i3i3−i3−i333−3−31-10000−ii000000000000
χ5122-2-22-1−2i2i2i−2i-22-22-111-2ii−i−i-11-11−2i2i−ii2i−2iii−i−i-221-10000i3−i33−3001-1−iii3i3−i3−i333−3−32-200−2i2i000000i3i3−i3−i333−3−3-110000i−i000000000000
χ5222-2-22-1−2i2i2i−2i-22-22-111-2ii−i−i-11-11−2i2i−ii2i−2iii−i−i-221-10000i3−i33−3001-1−iii3i3−i3−i333−3−3-22002i−2i000000−i3−i3i3i3−3−3331-10000−ii000000000000
χ5322-2-2-122i−2i2i−2i2-21-12-2-212i2i−2i−2i-11-11−ii2i−2i−ii−i−iii-112-200−i3i300003−3-11−ii−i3i3−i3i33−33−3002-2002i−2i00000000000000-110000−ii−i3i33−3000000
χ5422-2-2-122i−2i2i−2i2-21-12-2-212i2i−2i−2i-11-11−ii2i−2i−ii−i−iii-112-200−i3i300003−3-11−ii−i3i3−i3i33−33−300-2200−2i2i000000000000001-10000i−ii3−i3−33000000
χ5522-2-2-122i−2i2i−2i2-21-12-2-212i2i−2i−2i-11-11−ii2i−2i−ii−i−iii-112-200i3−i30000−33-11−iii3−i3i3−i3−33−33002-2002i−2i00000000000000-110000−iii3−i3−33000000
χ5622-2-2-122i−2i2i−2i2-21-12-2-212i2i−2i−2i-11-11−ii2i−2i−ii−i−iii-112-200i3−i30000−33-11−iii3−i3i3−i3−33−3300-2200−2i2i000000000000001-10000i−i−i3i33−3000000
χ5722-2-2-12−2i2i−2i2i2-21-12-2-21−2i−2i2i2i-11-11i−i−2i2ii−iii−i−i-112-200−i3i30000−33-11i−i−i3i3−i3i3−33−33002-200−2i2i00000000000000-110000i−i−i3i3−33000000
χ5822-2-2-12−2i2i−2i2i2-21-12-2-21−2i−2i2i2i-11-11i−i−2i2ii−iii−i−i-112-200−i3i30000−33-11i−i−i3i3−i3i3−33−3300-22002i−2i000000000000001-10000−iii3−i33−3000000
χ5922-2-2-12−2i2i−2i2i2-21-12-2-21−2i−2i2i2i-11-11i−i−2i2ii−iii−i−i-112-200i3−i300003−3-11i−ii3−i3i3−i33−33−3002-200−2i2i00000000000000-110000i−ii3−i33−3000000
χ6022-2-2-12−2i2i−2i2i2-21-12-2-21−2i−2i2i2i-11-11i−i−2i2ii−iii−i−i-112-200i3−i300003−3-11i−ii3−i3i3−i33−33−300-22002i−2i000000000000001-10000−ii−i3i3−33000000
χ6144444-244-4-4-4-444-2-2-24-2-2-2-2-2-2-2-24422-4-4-2-2-2-2-4-42200000000002222000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-444-2-2-242222-2-2-2-2-4-4-2-2442222-4-422000000000022-2-2000000000000000000000000000000000000000000000000
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χ664444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
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χ714444-2-2-4-4-4-444-2-2-2-2-2-222221111222222-1-1-1-1-2-2-2-24-4-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-222221111222222-1-1-1-1-2-2-2-2-442222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000
χ7344-4-44-24i−4i4i−4i4-4-44-222-4−2i−2i2i2i-22-224i−4i−2i2i4i−4i−2i−2i2i2i4-4-220000000000-22−2i2i000000000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-4-44-222-42i2i−2i−2i-22-22−4i4i2i−2i−4i4i2i2i−2i−2i4-4-220000000000-222i−2i000000000000000000000000000000000000000000000000
χ7544-4-4-244i−4i−4i4i-442-24-4-424i4i−4i−4i-22-22−2i2i−4i4i2i−2i−2i−2i2i2i2-2-4400000000002-22i−2i000000000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i4i−4i-442-24-4-42−4i−4i4i4i-22-222i−2i4i−4i−2i2i2i2i−2i−2i2-2-4400000000002-2−2i2i000000000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-42-2-2222−2i−2i2i2i1-11-1−2i2i−2i2i−2i2iii−i−i-22-2200−2i32i3000023−231-1i−ii3−i3i3−i3−33−330000000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-42-2-2222−2i−2i2i2i1-11-1−2i2i−2i2i−2i2iii−i−i-22-22002i3−2i30000−23231-1i−i−i3i3−i3i33−33−30000000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-442-2-2222−2i−2i2i2i1-11-1−2i2i2i−2i2i−2iii−i−i2-22-20000−2i32i323−2300-11−iii3i3−i3−i3−3−3330000000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-442-2-2222−2i−2i2i2i1-11-1−2i2i2i−2i2i−2iii−i−i2-22-200002i3−2i3−232300-11−ii−i3−i3i3i333−3−30000000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-442-2-22222i2i−2i−2i1-11-12i−2i−2i2i−2i2i−i−iii2-22-20000−2i32i3−232300-11i−ii3i3−i3−i333−3−30000000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-442-2-22222i2i−2i−2i1-11-12i−2i−2i2i−2i2i−i−iii2-22-200002i3−2i323−2300-11i−i−i3−i3i3i3−3−3330000000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-42-2-22222i2i−2i−2i1-11-12i−2i2i−2i2i−2i−i−iii-22-2200−2i32i30000−23231-1−iii3−i3i3−i33−33−30000000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-42-2-22222i2i−2i−2i1-11-12i−2i2i−2i2i−2i−i−iii-22-22002i3−2i3000023−231-1−ii−i3i3−i3i3−33−330000000000000000000000000000000000000000
χ854-44-4440000004-4-4-44-4000044-4-400000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ864-44-4440000004-4-4-44-4000044-4-4000000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ874-44-44-20000004-422-2-4−2i32i3−2i32i3-2-222000000−2i32i3−2i32i30000000000000000000000000000000000−2i22i200i2−i2i2−i26−66−600000000000000000000
χ884-44-44-20000004-422-2-4−2i32i3−2i32i3-2-222000000−2i32i3−2i32i300000000000000000000000000000000002i2−2i200−i2i2−i2i2−66−6600000000000000000000
χ894-44-44-20000004-422-2-42i3−2i32i3−2i3-2-2220000002i3−2i32i3−2i30000000000000000000000000000000000−2i22i200i2−i2i2−i2−66−6600000000000000000000
χ904-44-44-20000004-422-2-42i3−2i32i3−2i3-2-2220000002i3−2i32i3−2i300000000000000000000000000000000002i2−2i200−i2i2−i2i26−66−600000000000000000000
χ914-4-4444000000-4-4-44-4400004-4-44000000000000000000000000000000000000000000000022−22000022−22−222200000000000000000000
χ924-4-4444000000-4-4-44-4400004-4-440000000000000000000000000000000000000000000000−22220000−222222−2200000000000000000000
χ934-4-444-2000000-4-42-22423−23−2323-222-200000023−23−232300000000000000000000000000000000000022−226−6−66−222−200000000000000000000
χ944-4-444-2000000-4-42-22423−23−2323-222-200000023−23−2323000000000000000000000000000000000000−2222−666−62−2−2200000000000000000000
χ954-4-444-2000000-4-42-224−232323−23-222-2000000−232323−2300000000000000000000000000000000000022−22−666−6−222−200000000000000000000
χ964-4-444-2000000-4-42-224−232323−23-222-2000000−232323−23000000000000000000000000000000000000−22226−6−662−2−2200000000000000000000
χ978-88-8-48000000-44-8-8840000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4000000-4444-44−4i34i3−4i34i322-2-20000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000000-4444-444i3−4i34i3−4i322-2-2000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4800000044-88-8-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000444-44-443−43−43432-2-22000000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000444-44-4−434343−432-2-2200000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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