Finite Group Databasebeta

← #25116953

Subgroups — #25116953

Order 11008.

1090 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583060C211yesmaximal, characteristic
2C2×#14582894C211yesmaximal, characteristic
3#19137618C211yesmaximal, characteristic, complemented
4#19137433C211yesmaximal, characteristic
5#19135473C211yesmaximal, characteristic, complemented
6#19135292C211yesmaximal, characteristic, complemented
7#19135221C211yesmaximal, characteristic, complemented
8#19135015C211yesmaximal, characteristic, complemented
9#19134950C211yesmaximal, characteristic, complemented
10#19134938C211yesmaximal, characteristic, complemented
11#19134849C211yesmaximal, characteristic, complemented
12#19134793C211yesmaximal, characteristic, complemented
13#19134427C211yesmaximal, characteristic, complemented
14#19134372C211yesmaximal, characteristic, complemented
15C2×C43×#441C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17C22×#10621884C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19C2×#13063301C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×#13063283C2211yescharacteristic
22#14583060C418yescomplemented
23C2×#13063258C2211yescharacteristic
24#14582894—24no—
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×(C2×D43)⋊C8C2211yescharacteristic
32C2×#13063235C2211yescharacteristic
33#14582806C2211yescharacteristic
34#14582801—21no—
35#14582801C2211yescharacteristic
36#14582800—21no—
37#14582800C2211yescharacteristic
38#14582797C2211yescharacteristic
39#14582790—21no—
40#14582789—21no—
41#14582780—21no—
42#14582756—21no—
43#14582756C2211yescharacteristic
44C4⋊C4×Dic43C2211yescharacteristic
45C4×Dic43⋊C4—21no—
46C4×(C2×D43)⋊C4—21no—
47C4×(C2×D43)⋊C4C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582654C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×Q16×C43C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C2×C4×Q8×C43C2211yescharacteristic
57C43×#441—24no—
58C2×#106×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C2×#97×C43C2211yescharacteristic
62C2×#10621902—22no—
63C2×#10621902—22no—
64C2×#10621902—22no—
65C2×#10621902—41no—
66C2×#10621902—41no—
67C2×#10621902C2×C414yes—
68C22×D172—21no—
69C22×D172C2311yescharacteristic
70C22×C4×D43—21no—
71C22×C4×D43C2311yescharacteristic
72C2×#10621884—41no—
73C2×#10621884—41no—
74C2×#10621884C2×C414yes—
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77C2×C8×D43—22no—
78C2×C8×D43—22no—
79C2×C8×D43—41no—
80#13063301—22no—
81#13063301C2×C414yes—
82Q8×Dic43—22no—
83Q8×Dic43—41no—
84#13063283—22no—
85#13063283—41no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4D411yescharacteristic
100C2×(C2×D43)⋊C4D411yescharacteristic
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43C2311yescharacteristic
105#13063258—41no—
106#13063249—22no—
107#13063249—41no—
108#13063249C2×C414yes—
109#13063247—22no—
110#13063247C2×C414yes—
111#13063245—22no—
112(C2×D43)⋊C8C2×C414yes—
113#13063235—41no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95D411yescharacteristic
120C43⋊#95D411yescharacteristic
121C22×Q8×C43C2311yescharacteristic
122C22×Q8×C43C2311yescharacteristic
123C2×Q16×C43—22no—
124C2×Q16×C43—22no—
125C2×Q16×C43C2×C414yes—
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C4×Q8×C43—22no—
129C4×Q8×C43—22no—
130C4×Q8×C43—41no—
131C4×Q8×C43—41no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43—21no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C42×C43—21no—
137C2×C42×C43—21no—
138C2×C42×C43C2311yescharacteristic
139#106×C43—22no—
140#103×C43—22no—
141#103×C43D414yes—
142#97×C43—22no—
143C23×D43—21no—
144C23×D43C2×D411yescharacteristic
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43C22×C412yes—
154C2×Q8×C43C22×C412yes—
155C2×Q8×C43C2×D412yes—
156C2×Q8×C43#4112yes—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2411yescharacteristic
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43C2×D411yescharacteristic
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170#10621902—28no—
171#10621902—44no—
172#10621902—44no—
173#10621902—44no—
174C2×D172—21no—
175C2×D172—24no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172—21no—
180C2×D172—42no—
181C2×D172—42no—
182C2×D172C22×C412yes—
183C2×C4×D43—21no—
184C2×C4×D43—21no—
185C2×C4×D43—21no—
186C2×C4×D43—21no—
187C2×C4×D43—24no—
188C2×C4×D43—42no—
189C2×C4×D43—42no—
190C2×C4×D43C22×C412yes—
191C2×C4×D43#4112yes—
192Q16×C43—28no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43C22×C412yes—
198C2×C8×C43C2×D412yes—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—42no—
203C4⋊C4×C43—42no—
204C4⋊C4×C43C2×D412yes—
205C42×C43—21no—
206C42×C43—21no—
207C42×C43—42no—
208C42×C43—42no—
209#10621884—44no—
210(C2×D43)⋊C4—24no—
211(C2×D43)⋊C4—41no—
212(C2×D43)⋊C4—41no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—81no—
217(C2×D43)⋊C4—81no—
218(C2×D43)⋊C4—81no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—42no—
225C4⋊Dic43C22×C412yes—
226Dic43⋊C4—24no—
227Dic43⋊C4—42no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—42no—
231C4×Dic43—42no—
232C4×Dic43—42no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8C22×C412yes—
239C8×D43—44no—
240C23×C43C22×D411yescharacteristic
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—22no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43C4×D412yes—
255Q8×C43—22no—
256Q8×C43—22no—
257Q8×C43—22no—
258Q8×C43—22no—
259Q8×C43—22no—
260Q8×C43—41no—
261Q8×C43—41no—
262Q8×C43C4×D414yes—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43C23×C411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C43H(5,𝔽2)11yescharacteristic
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—22no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43C4×D412yes—
305D172—22no—
306D172—22no—
307D172—48no—
308D172—41no—
309D172—41no—
310C4×D43—22no—
311C4×D43—22no—
312C4×D43—22no—
313C4×D43—22no—
314C4×D43—48no—
315C8×C43—22no—
316C8×C43—22no—
317C43⋊C8—22no—
318C43⋊C8—41no—
319#22861—431nomaximal, Sylow
320C22×C43C2×C4×D411yescharacteristic
321C22×C43D4211yescharacteristic
322C22×C43#54611yescharacteristic
323C22×C43#57511yescharacteristic
324C22×C43#57511yescharacteristic
325C22×C43#57711yescharacteristic
326C22×C43#57811yescharacteristic
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—81no—
338C2×D43—81no—
339C2×D43—81no—
340C2×D43—81no—
341C4×C43—24no—
342C4×C43—42no—
343C4×C43—41no—
344C4×C43—42no—
345C4×C43—41no—
346C4×C43—81no—
347C4×C43C2×C4×D411yescharacteristic
348C4×C43#51811yescharacteristic
349C4×C43#54611yescharacteristic
350C4×C43#55111yescharacteristic
351Dic43—22no—
352Dic43—42no—
353Dic43—41no—
354Dic43—41no—
355Dic43—81no—
356Dic43—81no—
357C2×#452—431no—
358C2×#441D4311yescharacteristic, complemented
359C2×#416—431no—
360#2362—431no—
361#2341—431no—
362#1973—431no—
363#1936—431no—
364#1926—431no—
365#1892—431no—
366#1880—431no—
367#1878—431no—
368#1863—431no—
369#1854—431no—
370#1763—431no—
371#1752—431no—
372C2×C43#235811yescharacteristic
373C2×C43#294311yescharacteristic
374C2×C43#294711yescharacteristic
375C2×C43#326911yescharacteristic
376C2×C43#327111yescharacteristic
377C2×C43#331311yescharacteristic
378C2×C43#331711yescharacteristic
379D43—42no—
380D43—82no—
381C22×#41—431no—
382C22×Q16C2×D4311yescharacteristic
383C22×SD16—431no—
384C23×C8—431no—
385C2×C22⋊Q8—431no—
386C2×C4×Q8—431no—
387C2×C4×Q8C2×D4311yescharacteristic
388C2×C4×Q8C2×D4311yescharacteristic
389C2×#117—431no—
390#452—438no—
391#441—24no—
392C2×#107—431no—
393C2×#106C2×D4311yescharacteristic
394#416—864no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103C2×D4311yescharacteristic
399C2×#103C2×D4311yescharacteristic
400C2×#102—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×C22⋊C8—431no—
404C2×#97—431no—
405C2×#97C2×D4311yescharacteristic
406#391—431no—
407#390—431no—
408#390—431no—
409#390—861no—
410#390—861no—
411#389—431no—
412#388—861no—
413#388—861no—
414#387—861no—
415#380—431no—
416#380—861no—
417C4×C4⋊C4—431no—
418C4×C4⋊C4—861no—
419C4×C22⋊C4—431no—
420C4×C22⋊C4—861no—
421#340—431no—
422#340—431no—
423#340—431no—
424#340—431no—
425#336—431no—
426#336—431no—
427C43#2286111yescharacteristic, complemented, Sylow
428C2×#41—434no—
429C2×#41—862no—
430C2×#41—862no—
431C2×#41—862no—
432C2×#41—1721no—
433C2×#41—1721no—
434C22×Q8C22×D4311yescharacteristic
435C22×Q8C22×D4311yescharacteristic
436C22×D4—431no—
437C22×D4—861no—
438C23×C4—431no—
439C23×C4—861no—
440C2×Q16—22no—
441C2×Q16—22no—
442C2×Q16C4×D4314yes—
443C2×SD16—434no—
444C2×SD16—1721no—
445C2×SD16—1721no—
446C22×C8—431no—
447C22×C8—431no—
448C22×C8—862no—
449C22×C8—862no—
450C22×C8—1721no—
451C22×C8C22×D4311yescharacteristic
452C22×C8C22×D4311yescharacteristic
453C22⋊Q8—434no—
454C22⋊Q8—862no—
455C4×Q8—22no—
456C4×Q8—22no—
457C4×Q8—41no—
458C4×Q8—41no—
459C4×Q8—862no—
460C4×Q8—1721no—
461#117—862no—
462#117—1721no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4C22×D4311yescharacteristic
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C22⋊C4—431no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C42—21no—
483C2×C42—21no—
484C2×C42—431no—
485C2×C42—861no—
486C2×C42—861no—
487C2×C42—861no—
488C2×C42C22×D4311yescharacteristic
489#107—1721no—
490#106—22no—
491#103—22no—
492#103—434no—
493#103—862no—
494#103—1721no—
495#103C22⋊D4314yes—
496#102—434no—
497#102—862no—
498#102—862no—
499C22⋊C8—434no—
500#97—22no—
501#97—1721no—
502#95—431no—
503#95—431no—
504#95—861no—
505#95—861no—
506#95—861no—
507#95—861no—
508#95—861no—
509C24—431no—
510C24—861no—
511#41—868no—
512#41—1724no—
513#41—1724no—
514#41—1724no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8C2×C4×D4312yes—
524C2×Q8C2×C4×D4312yes—
525C2×Q8#1062189812yes—
526C2×Q8C2×C22⋊D4312yes—
527C2×D4—432no—
528C2×D4—864no—
529C2×D4—861no—
530C2×D4—861no—
531C2×D4—861no—
532C2×D4—861no—
533C2×D4—861no—
534C2×D4—1722no—
535C2×D4—1722no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—431no—
541C22×C4—432no—
542C22×C4—432no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—864no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—1722no—
554C22×C4—1722no—
555C22×C4D4×D4311yescharacteristic
556C22×C4D4×D4311yescharacteristic
557C22×C4C23×D4311yescharacteristic
558Q16—28no—
559SD16—1724no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—432no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—1724no—
571C2×C8C2×C4×D4312yes—
572C2×C8C2×C22⋊D4312yes—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—432no—
579C4⋊C4—864no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4C2×C22⋊D4312yes—
588C22⋊C4—864no—
589C22⋊C4—3441no—
590C22⋊C4—3441no—
591C22⋊C4—3441no—
592C22⋊C4—1721no—
593C22⋊C4—1721no—
594C22⋊C4—1722no—
595C22⋊C4—1722no—
596C22⋊C4—1722no—
597C42—21no—
598C42—21no—
599C42—42no—
600C42—42no—
601C42—861no—
602C42—861no—
603C42—1722no—
604C42—1722no—
605C42—1722no—
606C23—432no—
607C23—861no—
608C23—861no—
609C23—861no—
610C23—861no—
611C23—861no—
612C23—861no—
613C23—862no—
614C23—1721no—
615C23—1721no—
616C23—1721no—
617C23—1721no—
618C23—1721no—
619C23—1721no—
620C23C2×D4×D4311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—22no—
625Q8—22no—
626Q8—41no—
627Q8—41no—
628Q8C4×C22⋊D4314yes—
629D4—862no—
630D4—862no—
631D4—1728no—
632D4—1721no—
633D4—1721no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—432no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—1728no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4C22×C4×D4311yescharacteristic
676C2×C4C22×C22⋊D4311yescharacteristic
677C2×C4#41×D4311yescharacteristic
678C2×C4C2×#1062189811yescharacteristic
679C2×C4#1306337011yescharacteristic
680C2×C4#1306337111yescharacteristic
681C8—22no—
682C8—22no—
683C8—862no—
684C8—1721no—
685C22—862no—
686C22—862no—
687C22—862no—
688C22—3441no—
689C22—3441no—
690C22—3441no—
691C22—3441no—
692C22—1722no—
693C22—1722no—
694C22—1722no—
695C22—1721no—
696C22—1721no—
697C22—1721no—
698C22—1721no—
699C22C4×D4×D4311yescharacteristic
700C22D4×C22⋊D4311yescharacteristic
701C22#1458354511yescharacteristic
702C22#1458369811yescharacteristic
703C22#1458369811yescharacteristic
704C22#1458370811yescharacteristic
705C22#1458371511yescharacteristic
706C4—24no—
707C4—42no—
708C4—41no—
709C4—42no—
710C4—41no—
711C4—81no—
712C4—862no—
713C4—3441no—
714C4—3441no—
715C4—1721no—
716C4—1722no—
717C4—1721no—
718C4C2×C4×C22⋊D4311yescharacteristic
719C4#1458337111yescharacteristic
720C4#1458353711yescharacteristic
721C4#1458357811yescharacteristic
722C2—3442no—
723C2—1722no—
724C2#1913757211yescharacteristic
725C2#1914339411yescharacteristic
726C2#1914343711yescharacteristic
727C2#1914614411yescharacteristic
728C2#1914617411yescharacteristic
729C2#1914666611yescharacteristic
730C2#1914672611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#441C2
socleC23×C43C22×D4
prime radicalC22×#10621902C22
cosocleC22×C4×C43C24
hypercenterC2×#441D43
hypocenterC43#22861
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
3. #19137618C2semidirect
5. #19135473C2semidirect
6. #19135292C2semidirect
7. #19135221C2semidirect
8. #19135015C2semidirect
9. #19134950C2semidirect
10. #19134938C2semidirect
11. #19134849C2semidirect
12. #19134793C2semidirect
13. #19134427C2semidirect
14. #19134372C2semidirect
15. C2×C43×#441C2semidirect
22. #14583060C4semidirect
358. C2×#441D43semidirect
427. C43#22861semidirect

Maximal subgroups

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

subgroupindex
C2×#145830602
C2×#145828942
#191376182
#191374332
#191354732
#191352922
#191352212
#191350152
#191349502
#191349382
#191348492
#191347932
#191344272
#191343722
C2×C43×#4412
#2286143