Finite Group Databasebeta

← Group #11792204

Character table — Group #11792204

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212444412121212121212124488881212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-11
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-111-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-1-11
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-22-222-2-222-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-22-2-222-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000
χ112222222-122222222-1-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ122222222-122222222-1-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ132222222-122222222-1-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-2-2-2-1-1-1-1111111110000000000000022-2-20000-1-1-1-111110000
χ142222222-122222222-1-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-2-2-2-1-1-1-11111111100000000000000-2-22200001111-1-1-1-10000
χ152222222-1-2-2-2-22222-1-122-12-1-1-1-1-1-1-1-1-1-111-2-2-2-2112-2-1-11122-2-21111-1-1-1-11111000000000000000000000033−3−333−3−30000
χ162222222-1-2-2-2-22222-1-122-12-1-1-1-1-1-1-1-1-1-111-2-2-2-2112-2-1-11122-2-21111-1-1-1-111110000000000000000000000−3−333−3−3330000
χ172222222-1-2-2-2-22222-1-122-12-1-1-1-1-1-1-1-1-1-111-2-2-2-211-2211-1-1-2-22211111111-1-1-1-1000000000000000000000033−3−3−3−3330000
χ182222222-1-2-2-2-22222-1-122-12-1-1-1-1-1-1-1-1-1-111-2-2-2-211-2211-1-1-2-22211111111-1-1-1-10000000000000000000000−3−33333−3−30000
χ19222222-122222-1-1-1-122-1-12-1-122-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ20222222-122222-1-1-1-122-1-12-1-122-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ21222222-122222-1-1-1-122-1-12-1-122-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ22222222-122222-1-1-1-122-1-12-1-122-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ23222222-12-2-2-2-2-1-1-1-122-1-12-1-122-1-1-1-1-1-1-1-2-21111-2-22-222-2-2-1-1111111-1-1-1-111110000−i3−i3−i3−i3i3i3i3i3000000−i3−i3i3i3000000000000
χ24222222-12-2-2-2-2-1-1-1-122-1-12-1-122-1-1-1-1-1-1-1-2-21111-2-22-222-2-2-1-1111111-1-1-1-111110000i3i3i3i3−i3−i3−i3−i3000000i3i3−i3−i3000000000000
χ25222222-12-2-2-2-2-1-1-1-122-1-12-1-122-1-1-1-1-1-1-1-2-21111-2-2-22-2-22211-1-111111111-1-1-1-10000−i3−i3−i3−i3i3i3i3i3000000i3i3−i3−i3000000000000
χ26222222-12-2-2-2-2-1-1-1-122-1-12-1-122-1-1-1-1-1-1-1-2-21111-2-2-22-2-22211-1-111111111-1-1-1-10000i3i3i3i3−i3−i3−i3−i3000000−i3−i3i3i3000000000000
χ272222-2-2222-22-222-2-222-2-2222-2-222-2-2-2-222-222-2-22-2000000000022-2-20000000000000000000000000000000000000002-20
χ282222-2-2222-22-222-2-222-2-2222-2-222-2-2-2-222-222-2-22-2000000000022-2-2000000000000000000000000000000000000000-220
χ292222-2-222-22-2222-2-222-2-2222-2-222-2-2-2-22-22-2-222-220000000000-2-22200000000000000000000000000000000000000200-2
χ302222-2-222-22-2222-2-222-2-2222-2-222-2-2-2-22-22-2-222-220000000000-2-22200000000000000000000000000000000000000-2002
χ312-2-222-22222-2-2-2-222-2-2-2-22222-2-2-222-2-22222-22-2-2-200000000002-22-200000000000000000000002i−2i0000002i−2i2i−2i00000000
χ322-2-222-22222-2-2-2-222-2-2-2-22222-2-2-222-2-22222-22-2-2-200000000002-22-20000000000000000000000−2i2i000000−2i2i−2i2i00000000
χ332-2-222-222-2-222-2-222-2-2-2-22222-2-2-222-2-22-2-2-22-22220000000000-22-220000000000000000000000002-2000000002-22-20000
χ342-2-222-222-2-222-2-222-2-2-2-22222-2-2-222-2-22-2-2-22-22220000000000-22-22000000000000000000000000-2200000000-22-220000
χ352-2-222-22-122-2-2-2-22211-2-2-12-1-1111-1-111-1-1-12-22-21100−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i3000000000000002i−2i000000−ii−ii3−3−330000
χ362-2-222-22-122-2-2-2-22211-2-2-12-1-1111-1-111-1-1-12-22-21100−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i300000000000000−2i2i000000i−ii−i−333−30000
χ372-2-222-22-122-2-2-2-22211-2-2-12-1-1111-1-111-1-1-12-22-21100i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i3000000000000002i−2i000000−ii−ii−333−30000
χ382-2-222-22-122-2-2-2-22211-2-2-12-1-1111-1-111-1-1-12-22-21100i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i300000000000000−2i2i000000i−ii−i3−3−330000
χ392-2-222-22-1-2-222-2-22211-2-2-12-1-1111-1-111-111-22-22-1-100−i3i3i3−i300001-11-1−i3−i3i3i3i3i3−i3−i300000000000000002-20000−i3i3i3−i3-11-110000
χ402-2-222-22-1-2-222-2-22211-2-2-12-1-1111-1-111-111-22-22-1-100−i3i3i3−i300001-11-1−i3−i3i3i3i3i3−i3−i30000000000000000-220000i3−i3−i3i31-11-10000
χ412-2-222-22-1-2-222-2-22211-2-2-12-1-1111-1-111-111-22-22-1-100i3−i3−i3i300001-11-1i3i3−i3−i3−i3−i3i3i300000000000000002-20000i3−i3−i3i3-11-110000
χ422-2-222-22-1-2-222-2-22211-2-2-12-1-1111-1-111-111-22-22-1-100i3−i3−i3i300001-11-1i3i3−i3−i3−i3−i3i3i30000000000000000-220000−i3i3i3−i31-11-10000
χ432-2-22-22222-2-22-2-2-2-2-2-222222-22-2-2-2-22222-22-2-22-2200000000002-2-22000000000000000000002-200002-22-2000000000000
χ442-2-22-22222-2-22-2-2-2-2-2-222222-22-2-2-2-22222-22-2-22-2200000000002-2-2200000000000000000000-220000-22-22000000000000
χ452-2-22-2222-222-2-2-2-2-2-2-222222-22-2-2-2-2222-22-222-22-20000000000-222-20000000022-2-222-2-222-2-20000000000000000000000
χ462-2-22-2222-222-2-2-2-2-2-2-222222-22-2-2-2-2222-22-222-22-20000000000-222-200000000-2-222-2-222-2-2220000000000000000000000
χ472-2-22-22-122-2-221111-2-2-1-12-1-1-221111-1-1-12-2-111-1-22000000−i3i3−i3i3-111-1−i3i3−i3i3−i3i3−i3i30000−i3−i3i3i3i3i3−i3−i32-20000-11-11000000000000
χ482-2-22-22-122-2-221111-2-2-1-12-1-1-221111-1-1-12-2-111-1-22000000−i3i3−i3i3-111-1−i3i3−i3i3−i3i3−i3i30000i3i3−i3−i3−i3−i3i3i3-2200001-11-1000000000000
χ492-2-22-22-122-2-221111-2-2-1-12-1-1-221111-1-1-12-2-111-1-22000000i3−i3i3−i3-111-1i3−i3i3−i3i3−i3i3−i30000−i3−i3i3i3i3i3−i3−i3-2200001-11-1000000000000
χ502-2-22-22-122-2-221111-2-2-1-12-1-1-221111-1-1-12-2-111-1-22000000i3−i3i3−i3-111-1i3−i3i3−i3i3−i3i3−i30000i3i3−i3−i3−i3−i3i3i32-20000-11-11000000000000
χ512-2-22-22-12-222-21111-2-2-1-12-1-1-221111-1-1-1-221-1-112-2000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i322-2-2-1-111-1-111000000−i3i3i3−i3000000000000
χ522-2-22-22-12-222-21111-2-2-1-12-1-1-221111-1-1-1-221-1-112-2000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i3-2-22211-1-111-1-1000000i3−i3−i3i3000000000000
χ532-2-22-22-12-222-21111-2-2-1-12-1-1-221111-1-1-1-221-1-112-2000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i322-2-2-1-111-1-111000000i3−i3−i3i3000000000000
χ542-2-22-22-12-222-21111-2-2-1-12-1-1-221111-1-1-1-221-1-112-2000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i3-2-22211-1-111-1-1000000−i3i3i3−i3000000000000
χ55444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222224-4-2-222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222-4422-2-222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ594444-4-44-24-44-444-4-4-2-2-4-4-24-222-2-22222-2-2244-4-4-220000000000-2-222000000000000000000000000000000000000000000
χ604444-4-44-2-44-4444-4-4-2-2-4-4-24-222-2-22222-22-2-4-4442-2000000000022-2-2000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-2-22244224-2-2-4-4-2-22222-24-4-2-2224-40000000000-2-222000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-2-22244224-2-2-4-4-2-22222-2-4422-2-2-44000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-222-2-222-2-212211-1-1-1-11-22-2-222-22000000000011-1-13-3-333-3-330000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-222-2-222-2-212211-1-1-1-11-22-2-222-22000000000011-1-1-333-3-333-30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-222-2-222-2-212211-1-1-1-112-222-2-22-20000000000-1-1113-3-33-333-30000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-222-2-222-2-212211-1-1-1-112-222-2-22-20000000000-1-111-333-33-3-330000000000000000000000000000000000
χ6744-4-4004400004-4004-400-4-44004-40000-40000000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6844-4-4004400004-4004-400-4-44004-40000-4000000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6944-4-400-240000-22−2i32i34-4−2i32i3-42-200-22−2i32i3−2i32i320000000000000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ7044-4-400-240000-22−2i32i34-4−2i32i3-42-200-22−2i32i3−2i32i32000000000000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ7144-4-400-240000-222i3−2i34-42i3−2i3-42-200-222i3−2i32i3−2i320000000000000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ7244-4-400-240000-222i3−2i34-42i3−2i3-42-200-222i3−2i32i3−2i32000000000000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ734-44-400440000-4400-4400-4-4400-440000-40000000000000000000000000000002-2-222-2-222-2-220000000000000000000000
χ744-44-400440000-4400-4400-4-4400-440000-4000000000000000000000000000000-222-2-222-2-222-20000000000000000000000
χ754-44-400-2400002-2−2i32i3-442i3−2i3-42-2002-2−2i32i32i3−2i320000000000000000000000000000002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000000000000000000000
χ764-44-400-2400002-2−2i32i3-442i3−2i3-42-2002-2−2i32i32i3−2i32000000000000000000000000000000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30000000000000000000000
χ774-44-400-2400002-22i3−2i3-44−2i32i3-42-2002-22i3−2i3−2i32i320000000000000000000000000000002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000000000000000000000
χ784-44-400-2400002-22i3−2i3-44−2i32i3-42-2002-22i3−2i3−2i32i32000000000000000000000000000000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30000000000000000000000
χ794-4-444-4-2444-4-422-2-2-4-4224-2-24-422-2-222-244-22-22-4-40000000000-22-22000000000000000000000000000000000000000000
χ804-4-444-4-24-4-44422-2-2-4-4224-2-24-422-2-222-2-4-42-22-24400000000002-22-2000000000000000000000000000000000000000000
χ814-4-444-4-2-244-4-422-2-22222-2-21-22-1-111-1-11-2-2-22-222200−2i32i3−2i32i300001-11-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ824-4-444-4-2-244-4-422-2-22222-2-21-22-1-111-1-11-2-2-22-2222002i3−2i32i3−2i300001-11-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ834-4-444-4-2-2-4-44422-2-22222-2-21-22-1-111-1-11222-22-2-2-200−2i32i32i3−2i30000-11-11i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ844-4-444-4-2-2-4-44422-2-22222-2-21-22-1-111-1-11222-22-2-2-2002i3−2i3−2i32i30000-11-11−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ854-4-44-444-24-4-44-4-4-4-42244-24-22-22222-2-2-2-224-4-442-20000000000-222-2000000000000000000000000000000000000000000
χ864-4-44-444-2-444-4-4-4-4-42244-24-22-22222-2-2-22-2-444-4-2200000000002-2-22000000000000000000000000000000000000000000
χ874-4-44-44-2-24-4-44222222-2-2-2-212-2-1-1-1-1111-22-222-22-2000000−2i32i3−2i32i31-1-11i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ884-4-44-44-2-24-4-44222222-2-2-2-212-2-1-1-1-1111-22-222-22-20000002i3−2i32i3−2i31-1-11−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ894-4-44-44-2-2-444-4222222-2-2-2-212-2-1-1-1-11112-22-2-22-22000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ904-4-44-44-2-2-444-4222222-2-2-2-212-2-1-1-1-11112-22-2-22-220000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ9188-8-8008-400008-800-44004-8-400-44000040000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44−4i34i3-44−4i34i3442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-444i3−4i3-444i3−4i3442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-40000-88004-4004-8-4004-4000040000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-4−4i34i34-44i3−4i344200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-44i3−4i34-4−4i34i344200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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