Finite Group Databasebeta

← #25096705

Subgroups — #25096705

Order 11008.

1298 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583381C211yesmaximal, characteristic
2C2×#14582961C211yesmaximal, characteristic, complemented
3#19137200C211yesmaximal, characteristic, complemented
4#19134684C211yesmaximal, characteristic, complemented
5#19134680C211yesmaximal, characteristic, complemented
6#19134608C211yesmaximal, characteristic, complemented
7#19134604C211yesmaximal, characteristic, complemented
8#19134598C211yesmaximal, characteristic, complemented
9#19134594C211yesmaximal, characteristic, complemented
10#19134534C211yesmaximal, characteristic
11#19134534C211yesmaximal, characteristic
12#19134421C211yesmaximal, characteristic, complemented
13C4×#13063249C211yesmaximal, characteristic, complemented
14C4×#13063245C211yesmaximal, characteristic, complemented
15C43×#1763C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17#14583381—24no—
18#14583381C418yescomplemented
19C2×Q8×Dic43C2211yescharacteristic
20C2×C4×D172—21no—
21C2×C4×D172C2211yescharacteristic
22C2×#13063287—21no—
23C2×#13063287C2211yescharacteristic
24C2×#13063282—21no—
25C2×#13063282C2211yescharacteristic
26C2×C4⋊C4×D43—21no—
27C2×C4⋊C4×D43C2211yescharacteristic
28#14582961—24no—
29C2×Dic43⋊C8C2211yescharacteristic
30C2×Dic43⋊C8C2211yescharacteristic
31C2×#13063249C2211yescharacteristic
32C2×#13063249C2211yescharacteristic
33C2×#13063247C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063245C2211yescharacteristic
37C2×(C2×D43)⋊C8C2211yescharacteristic
38C2×(C2×D43)⋊C8C2211yescharacteristic
39C2×C4×C43⋊C8C2211yescharacteristic
40#14582790—21no—
41#14582788—21no—
42#14582783—21no—
43#14582781—21no—
44#14582768C2211yescharacteristic
45#14582764C2211yescharacteristic
46#14582756C2211yescharacteristic
47#14582756C2211yescharacteristic
48C4×C4⋊Dic43C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#97×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C2×#10621902—22no—
63C2×#10621902—22no—
64C2×#10621902—22no—
65C2×#10621902—22no—
66C2×#10621902—22no—
67C2×#10621902C2×C414yes—
68C22×D172—21no—
69C22×D172C2311yescharacteristic
70C22×C4×D43—21no—
71C22×C4×D43—21no—
72C22×C4×D43—21no—
73C22×C4×D43—21no—
74C22×C4×D43C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77Q8×Dic43—22no—
78Q8×Dic43C2×C414yes—
79C4×D172—22no—
80C4×D172—28no—
81C4×D172C2×C414yes—
82#13063287—28no—
83#13063287—22no—
84#13063287C2×C414yes—
85#13063282—28no—
86#13063282C2×C414yes—
87#13063282D414yes—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4D411yescharacteristic
96C2×Dic43⋊C4D411yescharacteristic
97C4⋊C4×D43—22no—
98C4⋊C4×D43—28no—
99C4⋊C4×D43C2×C414yes—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4D411yescharacteristic
105C2×(C2×D43)⋊C4D411yescharacteristic
106C2×C4×Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43C2311yescharacteristic
109Dic43⋊C8—22no—
110Dic43⋊C8—22no—
111#13063249—22no—
112#13063249—22no—
113#13063247—22no—
114#13063247—22no—
115#13063245—22no—
116#13063245—22no—
117(C2×D43)⋊C8—22no—
118(C2×D43)⋊C8—22no—
119C4×C43⋊C8—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C22×Q8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C4×Q8×C43—22no—
129C4×Q8×C43C2×C414yes—
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C42×C43—21no—
135C2×C42×C43—21no—
136C2×C42×C43C2311yescharacteristic
137#103×C43—22no—
138#103×C43—22no—
139#97×C43—22no—
140#95×C43—21no—
141C23×D43—21no—
142C23×D43C2×D411yescharacteristic
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43C22×C412yes—
147C2×Q8×C43#4112yes—
148C2×Q8×C43#4112yes—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2411yescharacteristic
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43C2×D411yescharacteristic
160C22×Dic43C2×D411yescharacteristic
161C22×Dic43C2×D411yescharacteristic
162#10621902—28no—
163#10621902—28no—
164#10621902—28no—
165#10621902—28no—
166C2×D172—24no—
167C2×D172—24no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—24no—
172C2×D172C22×C412yes—
173C2×D172#4112yes—
174C2×D172#4112yes—
175C2×C4×D43—24no—
176C2×C4×D43—24no—
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×C4×D43—24no—
182C2×C4×D43—24no—
183C2×C4×D43—24no—
184C2×C4×D43—24no—
185C2×C4×D43—81no—
186C2×C4×D43—81no—
187C2×C4×D43—81no—
188C2×C4×D43—81no—
189C2×C4×D43—81no—
190C2×C4×D43—81no—
191C2×C4×D43C22×C412yes—
192C2×C4×D43C2×D412yes—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C4⋊C4×C43—24no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43C22×C412yes—
206C42×C43—24no—
207C42×C43—81no—
208C42×C43C22×C412yes—
209C42×C43C2×D412yes—
210(C2×D43)⋊C4—24no—
211(C2×D43)⋊C4—24no—
212(C2×D43)⋊C4—81no—
213(C2×D43)⋊C4—81no—
214(C2×D43)⋊C4C22⋊C414yes—
215(C2×D43)⋊C4C22⋊C414yes—
216C4⋊Dic43—21no—
217C4⋊Dic43—24no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43C22×C412yes—
223Dic43⋊C4—24no—
224Dic43⋊C4—81no—
225Dic43⋊C4—81no—
226Dic43⋊C4C22⋊C414yes—
227Dic43⋊C4C22⋊C414yes—
228C4×Dic43—24no—
229C4×Dic43—81no—
230C4×Dic43C22×C412yes—
231C4×Dic43C2×D412yes—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C23×C43C22×D411yescharacteristic
239C22×D43—22no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—22no—
243C22×D43—22no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43C2×C22⋊C412yes—
253Q8×C43—22no—
254Q8×C43—22no—
255Q8×C43—22no—
256Q8×C43#11714yes—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—22no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43C2×C22⋊C412yes—
274C2×C4×C43C2×C22⋊C412yes—
275C2×C4×C43C23×C411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—22no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43C2×C22⋊C412yes—
297C2×Dic43C2×C22⋊C412yes—
298C2×Dic43C2×C22⋊C412yes—
299D172—216no—
300D172—22no—
301D172—22no—
302D172—22no—
303D172#11714yes—
304C4×D43—216no—
305C4×D43—22no—
306C4×D43—22no—
307C4×D43—22no—
308C4×D43—22no—
309C4×D43—84no—
310C4×D43—84no—
311C4×D43—84no—
312C8×C43—41no—
313C8×C43—41no—
314C43⋊C8—41no—
315C43⋊C8—41no—
316#20746—431nomaximal, Sylow
317C22×C43C22×C22⋊C411yescharacteristic
318C22×C43#52511yescharacteristic
319C22×C43#52511yescharacteristic
320C22×C43#57611yescharacteristic
321C22×C43#57711yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57811yescharacteristic
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—24no—
327C2×D43—22no—
328C2×D43—41no—
329C2×D43—42no—
330C2×D43—41no—
331C2×D43—42no—
332C2×D43—41no—
333C2×D43—42no—
334C2×D43—41no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—42no—
338C4×C43—22no—
339C4×C43—22no—
340C4×C43—24no—
341C4×C43—42no—
342C4×C43—81no—
343C4×C43—81no—
344C4×C43C2×#11711yescharacteristic
345C4×C43C2×#11711yescharacteristic
346C4×C43#52511yescharacteristic
347C4×C43#52511yescharacteristic
348Dic43—22no—
349Dic43—22no—
350Dic43—22no—
351Dic43—42no—
352Dic43—81no—
353Dic43—81no—
354C2×#520—431no—
355C2×#433—431no—
356#2314—431no—
357#1824—431no—
358#1823—431no—
359#1805—431no—
360#1804—431no—
361#1803—431no—
362#1802—431no—
363#1788—431no—
364#1788—431no—
365#1763D4311yescharacteristic, complemented
366#1762—431no—
367C4×#103—431no—
368C4×#102—431no—
369C2×C43#228011yescharacteristic
370C2×C43#289711yescharacteristic
371C2×C43#289811yescharacteristic
372C2×C43#311911yescharacteristic
373C2×C43#312011yescharacteristic
374C2×C43#312411yescharacteristic
375C2×C43#312511yescharacteristic
376D43—42no—
377D43—44no—
378C22×#41—431no—
379#520—438no—
380#520—864no—
381C2×C4×Q8—431no—
382C2×C4×Q8C2×D4311yescharacteristic
383C2×C4×D4—431no—
384C2×C4×D4—431no—
385C2×C4×D4—861no—
386C2×C4×D4—861no—
387C2×#117—431no—
388C2×#117—861no—
389C22×C4⋊C4—431no—
390C22×C4⋊C4—861no—
391#433—864no—
392C2×C4⋊C8—431no—
393C2×C4⋊C8—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103C2×D4311yescharacteristic
397C2×#103C2×D4311yescharacteristic
398C2×#102—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×C22⋊C8—431no—
403C2×C22⋊C8—431no—
404C2×#97C2×D4311yescharacteristic
405C2×C4×C8—431no—
406#388—861no—
407#388—861no—
408#387—861no—
409#387—861no—
410#384—431no—
411#382—431no—
412#380—431no—
413#380—431no—
414C4×C4⋊C4—431no—
415C4×C4⋊C4C2×D4311yescharacteristic
416#340—431no—
417#340—431no—
418#340—431no—
419#340—431no—
420#340—431no—
421#340—431no—
422#340C2×D4311yescharacteristic
423#340C2×D4311yescharacteristic
424C43#2074611yescharacteristic, complemented, Sylow
425C2×#41—434no—
426C2×#41—862no—
427C2×#41—862no—
428C2×#41—862no—
429C2×#41—862no—
430C2×#41—862no—
431C22×Q8C22×D4311yescharacteristic
432C22×D4—431no—
433C22×D4—861no—
434C23×C4—431no—
435C23×C4—861no—
436C23×C4—861no—
437C23×C4—861no—
438C23×C4—861no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C4×Q8—22no—
444C4×Q8—434no—
445C4×Q8—862no—
446C4×Q8C4×D4314yes—
447C4×D4—434no—
448C4×D4—434no—
449C4×D4—868no—
450C4×D4—862no—
451C4×D4—868no—
452C4×D4—862no—
453#117—434no—
454#117—434no—
455#117—868no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—434no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—868no—
464C2×C4⋊C4—862no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C4⋊C4C22×D4311yescharacteristic
471C2×C4⋊C4C22×D4311yescharacteristic
472C2×C22⋊C4—431no—
473C2×C22⋊C4—431no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C42—21no—
479C2×C42—21no—
480C2×C42—431no—
481C2×C42—861no—
482C2×C42—861no—
483C2×C42C22×D4311yescharacteristic
484C4⋊C8—862no—
485C4⋊C8—862no—
486#103—22no—
487#103—22no—
488#103—862no—
489#103—862no—
490#102—862no—
491#102—862no—
492#102—862no—
493#102—862no—
494C22⋊C8—862no—
495C22⋊C8—862no—
496#97—22no—
497C4×C8—862no—
498#95—21no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95—861no—
503#95—861no—
504C24—431no—
505C24—861no—
506#41—868no—
507#41—868no—
508#41—868no—
509#41—868no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8C2×C4×D4312yes—
514C2×Q8#1062189812yes—
515C2×Q8#1062189812yes—
516C2×D4—432no—
517C2×D4—432no—
518C2×D4—432no—
519C2×D4—864no—
520C2×D4—864no—
521C2×D4—864no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—431no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—432no—
533C22×C4—432no—
534C22×C4—864no—
535C22×C4—864no—
536C22×C4—864no—
537C22×C4—864no—
538C22×C4—864no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—864no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—3441no—
548C22×C4—3441no—
549C22×C4—3441no—
550C22×C4—3441no—
551C22×C4—3441no—
552C22×C4—3441no—
553C22×C4D4×D4311yescharacteristic
554C22×C4D4×D4311yescharacteristic
555C22×C4C23×D4311yescharacteristic
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—434no—
575C4⋊C4—434no—
576C4⋊C4—432no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—3441no—
585C4⋊C4—3441no—
586C4⋊C4C2×C4×D4312yes—
587C22⋊C4—434no—
588C22⋊C4—434no—
589C22⋊C4—864no—
590C22⋊C4—864no—
591C22⋊C4—3441no—
592C22⋊C4—3441no—
593C42—24no—
594C42—81no—
595C42—432no—
596C42—432no—
597C42—864no—
598C42—3441no—
599C42C2×C4×D4312yes—
600C42D4×D4312yes—
601C23—432no—
602C23—862no—
603C23—862no—
604C23—862no—
605C23—861no—
606C23—861no—
607C23—861no—
608C23—861no—
609C23—861no—
610C23—861no—
611C23—1721no—
612C23—1721no—
613C23—1721no—
614C23—1721no—
615C23C2×D4×D4311yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—22no—
619Q8#1306328214yes—
620D4—434no—
621D4—8616no—
622D4—862no—
623D4—862no—
624D4—862no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—432no—
642C2×C4—432no—
643C2×C4—432no—
644C2×C4—8616no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—3444no—
657C2×C4—3444no—
658C2×C4—3444no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4C22⋊C4×D4312yes—
668C2×C4C22⋊C4×D4312yes—
669C2×C4C22×C4×D4311yescharacteristic
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4#41×D4311yescharacteristic
672C2×C4#41×D4311yescharacteristic
673C2×C4C2×#1062189811yescharacteristic
674C2×C4C2×#1062189811yescharacteristic
675C8—41no—
676C8—41no—
677C8—1721no—
678C8—1721no—
679C22—862no—
680C22—864no—
681C22—862no—
682C22—862no—
683C22—1721no—
684C22—1722no—
685C22—1721no—
686C22—1722no—
687C22—1721no—
688C22—1722no—
689C22—1721no—
690C22—1722no—
691C22—1722no—
692C22—1722no—
693C22C2×C22⋊C4×D4311yescharacteristic
694C22#1458340811yescharacteristic
695C22#1458340811yescharacteristic
696C22#1458370311yescharacteristic
697C22#1458370811yescharacteristic
698C22#1458370811yescharacteristic
699C22#1458371511yescharacteristic
700C4—22no—
701C4—24no—
702C4—22no—
703C4—42no—
704C4—81no—
705C4—81no—
706C4—862no—
707C4—862no—
708C4—862no—
709C4—3441no—
710C4—3441no—
711C4—1722no—
712C4#117×D4311yescharacteristic
713C4C2×#1306328211yescharacteristic
714C4#1458340811yescharacteristic
715C4#1458340811yescharacteristic
716C2—1722no—
717C2—1724no—
718C2#1913697611yescharacteristic
719C2#1914311911yescharacteristic
720C2#1914312711yescharacteristic
721C2#1914479211yescharacteristic
722C2#1914480711yescharacteristic
723C2#1914485511yescharacteristic
724C2#1914487011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1763C2
socleC23×C43C22×D4
prime radicalC22×#10621902C22
cosocleC22×C4×C43C24
hypercenter#1763D43
hypocenterC43#20746
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1763

Complements

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

NH ≅ G/Ntype
2. C2×#14582961C2semidirect
3. #19137200C2semidirect
4. #19134684C2semidirect
5. #19134680C2semidirect
6. #19134608C2semidirect
7. #19134604C2semidirect
8. #19134598C2semidirect
9. #19134594C2semidirect
12. #19134421C2semidirect
13. C4×#13063249C2semidirect
14. C4×#13063245C2semidirect
15. C43×#1763C2semidirect
18. #14583381C4semidirect
365. #1763D43semidirect
424. C43#20746semidirect

Maximal subgroups

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

subgroupindex
C2×#145833812
C2×#145829612
#191372002
#191346842
#191346802
#191346082
#191346042
#191345982
#191345942
#191345342
#191344212
C4×#130632492
C4×#130632452
C43×#17632
#2074643