Finite Group Databasebeta

← #25003447

Subgroups — #25003447

Order 11008.

1262 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19143114C211yesmaximal, characteristic
2C2×#14582908C211yesmaximal, characteristic, complemented
3C2×#14582873C211yesmaximal, characteristic
4#19137181C211yesmaximal, characteristic, complemented
5C2×#14582671C211yesmaximal, characteristic, complemented
6#19134306C211yesmaximal, characteristic, complemented
7C22×#137×C43C211yesmaximal, characteristic
8C22×#10621877C2211yescharacteristic
9C2×#13063284C2211yescharacteristic
10C2×#13063284C2211yescharacteristic
11C2×#13063284C2211yescharacteristic
12#14582908—22no—
13#14582908—22no—
14#14582908—21no—
15#14582904—21no—
16#14582900—22no—
17#14582895—22no—
18C2×#13063249—22no—
19#14582873—22no—
20#14582873—22no—
21C2×#13063240—22no—
22#14582806—22no—
23#14582806—22no—
24#14582762—22no—
25#14582671—22no—
26#14582660—22no—
27C22×#41×C43C2211yescharacteristic
28C23×Q8×C43C2211yescharacteristic
29C2×#137×C43—22no—
30C2×#137×C43—22no—
31C2×#137×C43—22no—
32C2×#137×C43—22no—
33C2×#137×C43—22no—
34C2×#137×C43C414yescomplemented
35C22×Q16×C43—21no—
36C22×SD16×C43—21no—
37C22×M16×C43C2211yescharacteristic
38C2×#10621877—21no—
39C2×#10621877—21no—
40C2×#10621877—21no—
41C2×#10621877—21no—
42C2×#10621877—21no—
43C2×#10621877—21no—
44C22×C43⋊C8D412yes—
45#13063284—21no—
46#13063284—21no—
47#13063284—21no—
48#13063284—21no—
49#13063284—21no—
50#13063284—21no—
51#13063284—21no—
52#13063284—21no—
53#13063284—21no—
54#13063284—21no—
55#13063284—21no—
56#13063284D412yes—
57C2×C4⋊Dic43—21no—
58C2×C4⋊Dic43—21no—
59C2×C4⋊Dic43D412yes—
60C2×C22⋊Dic43—21no—
61C2×C22⋊Dic43—21no—
62C2×C22⋊Dic43D412yes—
63C2×C4×Dic43—21no—
64C2×C4×Dic43—21no—
65C2×C4×Dic43—21no—
66#13063249—28no—
67#13063249—24no—
68#13063246—24no—
69#13063240—28no—
70C43⋊#95—28no—
71C2×#41×C43—21no—
72C2×#41×C43—21no—
73C2×#41×C43—21no—
74C2×#41×C43—21no—
75C2×#41×C43—21no—
76C2×#41×C43—21no—
77C2×#41×C43—21no—
78C2×#41×C43—21no—
79C2×#41×C43—21no—
80C2×#41×C43—21no—
81C2×#41×C43C2×C412yes—
82C2×#41×C43D412yes—
83C22×Q8×C43—21no—
84C22×Q8×C43—21no—
85C22×Q8×C43—21no—
86C22×Q8×C43—21no—
87C22×Q8×C43—21no—
88C22×Q8×C43—21no—
89C22×Q8×C43—21no—
90C22×Q8×C43—21no—
91C22×Q8×C43—21no—
92C22×Q8×C43—21no—
93C22×Q8×C43—21no—
94C22×Q8×C43C2×C412yes—
95C22×Q8×C43D412yes—
96C22×Q8×C43D411yescharacteristic
97C22×Q8×C43D412yes—
98C22×D4×C43—21no—
99C22×D4×C43D411yescharacteristic
100C23×C4×C43—21no—
101C23×C4×C43—21no—
102C23×C4×C43C2311yescharacteristic
103#137×C43—28no—
104#137×C43—28no—
105#137×C43—28no—
106#137×C43—28no—
107C2×Q16×C43—24no—
108C2×Q16×C43—24no—
109C2×Q16×C43—24no—
110C2×SD16×C43—24no—
111C2×SD16×C43—24no—
112C2×SD16×C43—24no—
113C2×M16×C43—21no—
114C2×M16×C43—21no—
115C2×M16×C43—21no—
116C2×M16×C43C2×C412yes—
117C2×M16×C43D412yes—
118C2×M16×C43D412yes—
119C22×C8×C43—21no—
120C24×C43—21no—
121C24×C43C2×D411yescharacteristic
122#41×C43—22no—
123#41×C43—22no—
124#41×C43—22no—
125#41×C43—22no—
126#41×C43—22no—
127#41×C43—22no—
128#41×C43—22no—
129#41×C43—22no—
130#41×C43—41no—
131#41×C43—41no—
132#41×C43—41no—
133#41×C43—41no—
134#41×C43—41no—
135#41×C43—41no—
136#41×C43—41no—
137#41×C43—41no—
138C2×Q8×C43—22no—
139C2×Q8×C43—22no—
140C2×Q8×C43—21no—
141C2×Q8×C43—22no—
142C2×Q8×C43—22no—
143C2×Q8×C43—22no—
144C2×Q8×C43—22no—
145C2×Q8×C43—22no—
146C2×Q8×C43—22no—
147C2×Q8×C43—22no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—22no—
151C2×Q8×C43—22no—
152C2×Q8×C43—22no—
153C2×Q8×C43—21no—
154C2×Q8×C43—22no—
155C2×Q8×C43—22no—
156C2×Q8×C43—22no—
157C2×Q8×C43—21no—
158C2×Q8×C43—41no—
159C2×Q8×C43—41no—
160C2×Q8×C43—41no—
161C2×Q8×C43—41no—
162C2×Q8×C43—41no—
163C2×Q8×C43—41no—
164C2×Q8×C43—41no—
165C2×Q8×C43—41no—
166C2×Q8×C43—41no—
167C2×Q8×C43—41no—
168C2×Q8×C43—41no—
169C2×Q8×C43—41no—
170C2×Q8×C43C22⋊C412yes—
171C2×Q8×C43C22⋊C414yes—
172C2×D4×C43—21no—
173C2×D4×C43—22no—
174C2×D4×C43—22no—
175C2×D4×C43—21no—
176C2×D4×C43—21no—
177C2×D4×C43—21no—
178C2×D4×C43—21no—
179C2×D4×C43—41no—
180C2×D4×C43—41no—
181C2×D4×C43—41no—
182C2×D4×C43—41no—
183C2×D4×C43C22⋊C412yes—
184C22×C4×C43—22no—
185C22×C4×C43—22no—
186C22×C4×C43—22no—
187C22×C4×C43—22no—
188C22×C4×C43—21no—
189C22×C4×C43—22no—
190C22×C4×C43—41no—
191C22×C4×C43—41no—
192C22×C4×C43—41no—
193C22×C4×C43—41no—
194C22×C4×C43—41no—
195C22×C4×C43—41no—
196C22×C4×C43—41no—
197C22×C4×C43—41no—
198C22×C4×C43C22×C411yescharacteristic
199C22×C4×C43C2×D411yescharacteristic
200C22×C4×C43C2×D411yescharacteristic
201C22×C4×C43C2×D411yescharacteristic
202C22×C4×C43C2×D411yescharacteristic
203C22×C4×C43C2×D411yescharacteristic
204C22×C4×C43C2×D411yescharacteristic
205C22×C4×C43C2×D411yescharacteristic
206C22×C4×C43C2×D411yescharacteristic
207C22×C4×C43C2×D411yescharacteristic
208C22×C4×C43#4111yescharacteristic
209C22×C4×C43#4111yescharacteristic
210C22×C4×C43#4111yescharacteristic
211C22×C4×C43#4111yescharacteristic
212C22×Dic43—22no—
213C22×Dic43—22no—
214C22×Dic43—41no—
215Q16×C43—216no—
216SD16×C43—216no—
217M16×C43—22no—
218M16×C43—22no—
219M16×C43—22no—
220M16×C43C22⋊C414yes—
221C2×C8×C43—22no—
222C2×C8×C43—22no—
223C2×C8×C43—22no—
224C22⋊Dic43—22no—
225C22⋊Dic43—22no—
226C22⋊Dic43—22no—
227C22⋊Dic43—41no—
228C22⋊Dic43—41no—
229C22⋊Dic43—41no—
230C4⋊Dic43—22no—
231C4⋊Dic43—22no—
232C4⋊Dic43—22no—
233C4⋊Dic43—41no—
234C4⋊Dic43—41no—
235C4⋊Dic43—41no—
236C4×Dic43—22no—
237C4×Dic43—41no—
238C4×Dic43—41no—
239C4×Dic43—41no—
240C4×Dic43—41no—
241C4×Dic43—41no—
242#10621877—41no—
243#10621877—41no—
244#10621877—41no—
245#10621877—41no—
246C2×C43⋊C8—22no—
247C2×C43⋊C8—22no—
248C2×C43⋊C8—22no—
249C23×C43—22no—
250C23×C43—42no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—82no—
254C23×C43C4×D411yescharacteristic
255C23×C43#12011yescharacteristic
256C23×C43#12011yescharacteristic
257C23×C43#12111yescharacteristic
258C23×C43#12111yescharacteristic
259C23×C43#12111yescharacteristic
260C23×C43#12711yescharacteristic
261Q8×C43—24no—
262Q8×C43—22no—
263Q8×C43—24no—
264Q8×C43—22no—
265Q8×C43—42no—
266Q8×C43—42no—
267Q8×C43—42no—
268Q8×C43—41no—
269Q8×C43—42no—
270Q8×C43—42no—
271Q8×C43—42no—
272Q8×C43—41no—
273D4×C43—22no—
274D4×C43—22no—
275D4×C43—42no—
276D4×C43—42no—
277D4×C43—42no—
278D4×C43—42no—
279D4×C43—41no—
280D4×C43—41no—
281C2×C4×C43—22no—
282C2×C4×C43—24no—
283C2×C4×C43—42no—
284C2×C4×C43—42no—
285C2×C4×C43—41no—
286C2×C4×C43—42no—
287C2×C4×C43—42no—
288C2×C4×C43—42no—
289C2×C4×C43—41no—
290C2×C4×C43—42no—
291C2×C4×C43—42no—
292C2×C4×C43—42no—
293C2×C4×C43—42no—
294C2×C4×C43—42no—
295C2×C4×C43C2×C22⋊C411yescharacteristic
296C2×C4×C43C2×C22⋊C411yescharacteristic
297C2×C4×C43C2×C22⋊C411yescharacteristic
298C2×C4×C43C4×D411yescharacteristic
299C2×C4×C43C4×D411yescharacteristic
300C2×C4×C43C4×D411yescharacteristic
301C2×C4×C43#12011yescharacteristic
302C2×C4×C43#12011yescharacteristic
303C2×C4×C43#12011yescharacteristic
304C2×C4×C43#12011yescharacteristic
305C2×C4×C43#12011yescharacteristic
306C2×C4×C43#12011yescharacteristic
307C2×C4×C43#12111yescharacteristic
308C2×C4×C43#12111yescharacteristic
309C2×C4×C43#12111yescharacteristic
310C2×C4×C43#12111yescharacteristic
311C2×C4×C43#12111yescharacteristic
312C2×C4×C43#12111yescharacteristic
313C2×C4×C43#12111yescharacteristic
314C2×C4×C43#12111yescharacteristic
315C2×C4×C43#12111yescharacteristic
316C2×C4×C43#12311yescharacteristic
317C2×C4×C43#12311yescharacteristic
318C2×C4×C43#12311yescharacteristic
319C2×C4×C43#12311yescharacteristic
320C2×C4×C43#12411yescharacteristic
321C2×C4×C43#12411yescharacteristic
322C2×C4×C43#12711yescharacteristic
323C2×Dic43—44no—
324C2×Dic43—44no—
325C2×Dic43—42no—
326C2×Dic43—42no—
327C2×Dic43—42no—
328C2×Dic43—82no—
329C8×C43—24no—
330C43⋊C8—42no—
331#11031—431nomaximal, Sylow
332C22×C43—22no—
333C22×C43—22no—
334C22×C43—22no—
335C22×C43—41no—
336C22×C43—41no—
337C22×C43—41no—
338C22×C43—41no—
339C22×C43—42no—
340C22×C43—82no—
341C22×C43—82no—
342C22×C43—82no—
343C22×C43#38611yescharacteristic
344C22×C43#38611yescharacteristic
345C22×C43#39011yescharacteristic
346C22×C43#39211yescharacteristic
347C22×C43#39211yescharacteristic
348C22×C43#39211yescharacteristic
349C22×C43#39411yescharacteristic
350C4×C43—42no—
351C4×C43—44no—
352C4×C43#37911yescharacteristic
353C4×C43#38611yescharacteristic
354C4×C43#38611yescharacteristic
355C4×C43#39011yescharacteristic
356C4×C43#39211yescharacteristic
357C4×C43#39411yescharacteristic
358C4×C43#39411yescharacteristic
359C4×C43#39411yescharacteristic
360Dic43—82no—
361Dic43—82no—
362Dic43—82no—
363C22×#137D4311yescharacteristic
364#2896—431no—
365C2×#419—431no—
366C2×#410—431no—
367#2310—431no—
368C2×#344—431no—
369#1733—431no—
370C2×C43—21no—
371C2×C43—21no—
372C2×C43—21no—
373C2×C43—21no—
374C2×C43—21no—
375C2×C43—21no—
376C2×C43—82no—
377C2×C43#143811yescharacteristic
378C2×C43#200912yes—
379C22×#41C2×D4311yescharacteristic
380C23×Q8C2×D4311yescharacteristic
381C2×#137—22no—
382C2×#137—22no—
383C2×#137—22no—
384C2×#137—22no—
385C2×#137—22no—
386C2×#137Dic4314yescomplemented
387C22×Q16—21no—
388C22×SD16—21no—
389C22×M16—431no—
390C22×M16C2×D4311yescharacteristic
391C2×#117—431no—
392C2×#117—431no—
393C2×#117—431no—
394#419—862no—
395#419—862no—
396#419—861no—
397#418—861no—
398#417—862no—
399#416—862no—
400C2×#103—862no—
401#410—862no—
402#410—862no—
403C2×#99—862no—
404#391—862no—
405#391—862no—
406#381—862no—
407#344—862no—
408#339—862no—
409C43#1103111yescharacteristic, complemented, Sylow
410C2×#41—21no—
411C2×#41—21no—
412C2×#41—21no—
413C2×#41—21no—
414C2×#41—21no—
415C2×#41—21no—
416C2×#41—21no—
417C2×#41—21no—
418C2×#41—21no—
419C2×#41—21no—
420C2×#41C2×Dic4312yes—
421C2×#41C22⋊D4312yes—
422C22×Q8—21no—
423C22×Q8—21no—
424C22×Q8—21no—
425C22×Q8—21no—
426C22×Q8—21no—
427C22×Q8—21no—
428C22×Q8—21no—
429C22×Q8—21no—
430C22×Q8—21no—
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8C2×Dic4312yes—
434C22×Q8C22⋊D4311yescharacteristic
435C22×Q8C22⋊D4312yes—
436C22×Q8C22⋊D4312yes—
437C22×D4—21no—
438C22×D4C22⋊D4311yescharacteristic
439C23×C4—21no—
440C23×C4—21no—
441C23×C4C22×D4311yescharacteristic
442#137—28no—
443#137—28no—
444#137—28no—
445#137—28no—
446C2×Q16—24no—
447C2×Q16—24no—
448C2×Q16—24no—
449C2×SD16—24no—
450C2×SD16—24no—
451C2×SD16—24no—
452C2×M16—21no—
453C2×M16—21no—
454C2×M16—21no—
455C2×M16—861no—
456C2×M16—861no—
457C2×M16—861no—
458C2×M16—861no—
459C2×M16—861no—
460C2×M16—861no—
461C2×M16C2×Dic4312yes—
462C2×M16C22⋊D4312yes—
463C2×M16C22⋊D4312yes—
464C22×C8—21no—
465C22×C8—432no—
466#117—432no—
467#117—861no—
468#117—861no—
469#117—861no—
470#117—861no—
471#117—861no—
472#117—861no—
473#117—861no—
474#117—861no—
475#117—861no—
476#117—861no—
477#117—861no—
478C2×C4⋊C4—432no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C22⋊C4—432no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C42—861no—
485C2×C42—861no—
486C2×C42—861no—
487#103—868no—
488#103—864no—
489#102—864no—
490#99—868no—
491#95—868no—
492C24—21no—
493C24D4×D4311yescharacteristic
494#41—22no—
495#41—22no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—22no—
500#41—22no—
501#41—22no—
502#41—41no—
503#41—41no—
504#41—41no—
505#41—41no—
506#41—41no—
507#41—41no—
508#41—41no—
509#41—41no—
510C2×Q8—22no—
511C2×Q8—22no—
512C2×Q8—21no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—21no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—22no—
525C2×Q8—22no—
526C2×Q8—22no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—21no—
530C2×Q8—41no—
531C2×Q8—41no—
532C2×Q8—41no—
533C2×Q8—41no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—41no—
537C2×Q8—41no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—41no—
541C2×Q8—41no—
542C2×Q8C22⋊Dic4312yes—
543C2×Q8C22⋊Dic4314yes—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—41no—
552C2×D4—41no—
553C2×D4—41no—
554C2×D4—41no—
555C2×D4C22⋊Dic4312yes—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—21no—
559C22×C4—22no—
560C22×C4—22no—
561C22×C4—22no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4—41no—
567C22×C4—41no—
568C22×C4—41no—
569C22×C4—41no—
570C22×C4—862no—
571C22×C4—862no—
572C22×C4—1721no—
573C22×C4D4×D4311yescharacteristic
574C22×C4D4×D4311yescharacteristic
575C22×C4D4×D4311yescharacteristic
576C22×C4#1062190011yescharacteristic
577C22×C4#1062190011yescharacteristic
578C22×C4#1062190011yescharacteristic
579C22×C4#1062190011yescharacteristic
580C22×C4C22×Dic4311yescharacteristic
581C22×C4C2×C22⋊D4311yescharacteristic
582C22×C4C2×C22⋊D4311yescharacteristic
583C22×C4C2×C22⋊D4311yescharacteristic
584C22×C4C2×C22⋊D4311yescharacteristic
585C22×C4C2×C22⋊D4311yescharacteristic
586C22×C4C2×C22⋊D4311yescharacteristic
587Q16—216no—
588SD16—216no—
589M16—22no—
590M16—22no—
591M16—22no—
592M16—1721no—
593M16—1721no—
594M16—1721no—
595M16—1721no—
596M16C22⋊Dic4314yes—
597C2×C8—22no—
598C2×C8—22no—
599C2×C8—22no—
600C2×C8—862no—
601C2×C8—862no—
602C2×C8—862no—
603C4⋊C4—862no—
604C4⋊C4—862no—
605C4⋊C4—862no—
606C4⋊C4—1721no—
607C4⋊C4—1721no—
608C4⋊C4—1721no—
609C22⋊C4—862no—
610C22⋊C4—862no—
611C22⋊C4—862no—
612C22⋊C4—1721no—
613C22⋊C4—1721no—
614C22⋊C4—1721no—
615C42—862no—
616C42—1721no—
617C42—1721no—
618C42—1721no—
619C42—1721no—
620C42—1721no—
621C23—22no—
622C23—42no—
623C23—41no—
624C23—41no—
625C23—82no—
626C23D4×Dic4311yescharacteristic
627C23#1306329311yescharacteristic
628C23#1306329311yescharacteristic
629C23#1306329611yescharacteristic
630C23#1306329711yescharacteristic
631C23#1306329711yescharacteristic
632C23#1306332111yescharacteristic
633Q8—24no—
634Q8—22no—
635Q8—24no—
636Q8—22no—
637Q8—42no—
638Q8—42no—
639Q8—41no—
640Q8—42no—
641Q8—42no—
642Q8—42no—
643Q8—41no—
644Q8—42no—
645D4—22no—
646D4—22no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—42no—
651D4—41no—
652D4—41no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—3442no—
668C2×C4—1724no—
669C2×C4—1724no—
670C2×C4—1722no—
671C2×C4—1722no—
672C2×C4—1722no—
673C2×C4C2×C22⋊Dic4311yescharacteristic
674C2×C4C2×C22⋊Dic4311yescharacteristic
675C2×C4C2×C22⋊Dic4311yescharacteristic
676C2×C4D4×Dic4311yescharacteristic
677C2×C4D4×Dic4311yescharacteristic
678C2×C4D4×Dic4311yescharacteristic
679C2×C4#1306329311yescharacteristic
680C2×C4#1306329311yescharacteristic
681C2×C4#1306329411yescharacteristic
682C2×C4#1306329411yescharacteristic
683C2×C4#1306329411yescharacteristic
684C2×C4#1306329411yescharacteristic
685C2×C4#1306329611yescharacteristic
686C2×C4#1306329611yescharacteristic
687C2×C4#1306329611yescharacteristic
688C2×C4#1306329711yescharacteristic
689C2×C4#1306329711yescharacteristic
690C2×C4#1306329711yescharacteristic
691C2×C4#1306329711yescharacteristic
692C2×C4#1306329711yescharacteristic
693C2×C4#1306329711yescharacteristic
694C2×C4#1306330611yescharacteristic
695C2×C4#1306330611yescharacteristic
696C2×C4#1306330611yescharacteristic
697C2×C4#1306330611yescharacteristic
698C2×C4#1306331211yescharacteristic
699C2×C4#1306331211yescharacteristic
700C2×C4#1306332111yescharacteristic
701C8—24no—
702C8—1722no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22#1458277911yescharacteristic
715C22#1458277911yescharacteristic
716C22#1458280211yescharacteristic
717C22#1458280711yescharacteristic
718C22#1458280711yescharacteristic
719C22#1458280711yescharacteristic
720C22#1458281311yescharacteristic
721C4—42no—
722C4—44no—
723C4—3442no—
724C4—3442no—
725C4—3442no—
726C4#1458275511yescharacteristic
727C4#1458277911yescharacteristic
728C4#1458277911yescharacteristic
729C4#1458280211yescharacteristic
730C4#1458280711yescharacteristic
731C4#1458281311yescharacteristic
732C4#1458281311yescharacteristic
733C4#1458281311yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—82no—
741C2#1913283611yescharacteristic
742C2#1913565312yes—
subgroupG/H
centerC22#14582807
commutatorC22×C4×C43C22×C4
FrattiniC23×C4C22×D43
FittingC22×#137×C43C2
socleC22×C43#392
prime radicalC22×#41×C43C22
cosocleC23×C4×C43C23
hypercenterC22×#137D43
hypocenterC43#11031
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#137

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#14582908C2semidirect
4. #19137181C2semidirect
5. C2×#14582671C2semidirect
6. #19134306C2semidirect
34. C2×#137×C43C4semidirect
386. C2×#137Dic43semidirect
409. C43#11031semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191431142
C2×#145829082
C2×#145828732
#191371812
C2×#145826712
#191343062
C22×#137×C432
#1103143