Finite Group Databasebeta

← #25106584

Subgroups — #25106584

Order 11008.

1142 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583505C211yesmaximal, characteristic
2C2×#14582924C211yesmaximal, characteristic, complemented
3#19137200C211yesmaximal, characteristic, complemented
4#19135553C211yesmaximal, characteristic, complemented
5#19135522C211yesmaximal, characteristic, complemented
6#19135521C211yesmaximal, characteristic, complemented
7#19135032C211yesmaximal, characteristic, complemented
8#19135032C211yesmaximal, characteristic, complemented
9#19135022C211yesmaximal, characteristic, complemented
10#19135022C211yesmaximal, characteristic, complemented
11#19134604C211yesmaximal, characteristic, complemented
12#19134604C211yesmaximal, characteristic, complemented
13#19134594C211yesmaximal, characteristic, complemented
14#19134594C211yesmaximal, characteristic, complemented
15C43×#1989C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18#14583505—24no—
19#14583505C418yescomplemented
20C2×#13063322C2211yescharacteristic
21C2×#13063310—21no—
22C2×#13063310—21no—
23C2×#13063300—21no—
24C2×#13063300—21no—
25C2×#13063300C2211yescharacteristic
26C2×#13063300C2211yescharacteristic
27C2×#13063287C2211yescharacteristic
28C2×#13063287C2211yescharacteristic
29C2×#13063282C2211yescharacteristic
30#14582924—24no—
31C2×C4⋊(C43⋊C8)C2211yescharacteristic
32C2×Dic43⋊C8C2211yescharacteristic
33C2×Dic43⋊C8C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37C2×#13063247C2211yescharacteristic
38C2×#13063245C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41C2×#13063245C2211yescharacteristic
42#14582790—21no—
43#14582788—21no—
44#14582783—21no—
45#14582781—21no—
46#14582768C2211yescharacteristic
47#14582764C2211yescharacteristic
48#14582756C2211yescharacteristic
49#14582756C2211yescharacteristic
50C4×C4⋊Dic43C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×#125×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C4×C4⋊C4×C43C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×D172—21no—
63C22×D172—21no—
64C22×D172—21no—
65C22×D172—21no—
66C22×D172C2311yescharacteristic
67C22×D172C2311yescharacteristic
68C22×C4×D43—21no—
69C22×C4×D43—21no—
70C22×C4×D43C2311yescharacteristic
71C2×#10621872—22no—
72C2×#10621872—41no—
73C2×#10621872—41no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76C2×C8×D43—22no—
77C2×C8×D43—41no—
78C2×C8×D43—41no—
79#13063322—22no—
80#13063322C2×C414yes—
81#13063310—28no—
82#13063310—28no—
83#13063300—22no—
84#13063300—22no—
85#13063300—28no—
86#13063300—28no—
87#13063300C2×C414yes—
88#13063300C2×C414yes—
89#13063287—22no—
90#13063287—22no—
91#13063287C2×C414yes—
92#13063287C2×C414yes—
93#13063282C2×C414yes—
94#13063282D414yes—
95C2×C4⋊Dic43C2311yescharacteristic
96C2×C4⋊Dic43C2311yescharacteristic
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4D411yescharacteristic
100C2×Dic43⋊C4D411yescharacteristic
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×(C2×D43)⋊C4—21no—
106C2×(C2×D43)⋊C4—21no—
107C2×(C2×D43)⋊C4D411yescharacteristic
108C2×(C2×D43)⋊C4D411yescharacteristic
109C2×C4×Dic43—21no—
110C2×C4×Dic43C2311yescharacteristic
111C4⋊(C43⋊C8)—22no—
112Dic43⋊C8—22no—
113Dic43⋊C8—22no—
114#13063247—41no—
115#13063247—41no—
116#13063247—41no—
117#13063247—41no—
118#13063245—41no—
119#13063245—41no—
120#13063245—41no—
121#13063245—41no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C22×C8×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129#125×C43—22no—
130#125×C43C2×C414yes—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C42×C43—21no—
138C2×C42×C43C2311yescharacteristic
139C4⋊C8×C43—22no—
140#95×C43—21no—
141C23×D43—21no—
142C23×D43—21no—
143C23×D43C2×D411yescharacteristic
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2411yescharacteristic
151C22×Dic43—21no—
152C22×Dic43—21no—
153C22×Dic43C2×D411yescharacteristic
154C22×Dic43C2×D411yescharacteristic
155C22×Dic43C2×D411yescharacteristic
156C2×D172—21no—
157C2×D172—21no—
158C2×D172—24no—
159C2×D172—24no—
160C2×D172—24no—
161C2×D172—24no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—81no—
171C2×D172—81no—
172C2×D172—81no—
173C2×D172—81no—
174C2×D172—81no—
175C2×D172—81no—
176C2×D172—81no—
177C2×D172—81no—
178C2×D172C22×C412yes—
179C2×D172C22×C412yes—
180C2×C4×D43—21no—
181C2×C4×D43—21no—
182C2×C4×D43—21no—
183C2×C4×D43—21no—
184C2×C4×D43—24no—
185C2×C4×D43—24no—
186C2×C4×D43—81no—
187C2×C4×D43—81no—
188C2×C4×D43—81no—
189C2×C4×D43—81no—
190C2×C4×D43C22×C412yes—
191C2×C4×D43C2×D412yes—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C4⋊C4×C43—24no—
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×C43—21no—
206C4⋊C4×C43C22×C412yes—
207C4⋊C4×C43C22×C412yes—
208C42×C43—81no—
209C42×C43C22×C412yes—
210C42×C43C2×D412yes—
211(C2×D43)⋊C4—24no—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—24no—
214(C2×D43)⋊C4—24no—
215(C2×D43)⋊C4—81no—
216(C2×D43)⋊C4—81no—
217(C2×D43)⋊C4C22⋊C414yes—
218(C2×D43)⋊C4C22⋊C414yes—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223Dic43⋊C4—81no—
224Dic43⋊C4—81no—
225Dic43⋊C4C22⋊C414yes—
226Dic43⋊C4C22⋊C414yes—
227C4×Dic43—81no—
228C4×Dic43C22×C412yes—
229C4×Dic43C2×D412yes—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236#10621872—44no—
237C8×D43—44no—
238C23×C43C22×D411yescharacteristic
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—22no—
246C22×D43—22no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—41no—
258C22×D43—41no—
259C22×D43C2×C22⋊C412yes—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
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×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43C2×C22⋊C412yes—
277C2×C4×C43C2×C22⋊C412yes—
278C2×C4×C43C23×C411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43H(5,𝔽2)11yescharacteristic
281C2×C4×C43H(5,𝔽2)11yescharacteristic
282C2×C4×C432−1+411yescharacteristic
283C2×C4×C432−1+411yescharacteristic
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
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—22no—
300D172—22no—
301D172—22no—
302D172—22no—
303D172—41no—
304D172—41no—
305D172—41no—
306D172—41no—
307D172—84no—
308D172—84no—
309D172—84no—
310D172—84no—
311C4×D43—22no—
312C4×D43—22no—
313C4×D43—22no—
314C4×D43—22no—
315C4×D43—84no—
316C4×D43—84no—
317C8×C43—41no—
318C8×C43—41no—
319C43⋊C8—41no—
320C43⋊C8—41no—
321#21897—431nomaximal, Sylow
322C22×C43C22×C22⋊C411yescharacteristic
323C22×C43#53711yescharacteristic
324C22×C43#53711yescharacteristic
325C22×C43#57611yescharacteristic
326C22×C43#57611yescharacteristic
327C22×C43#57711yescharacteristic
328C22×C43#57711yescharacteristic
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—41no—
335C2×D43—41no—
336C2×D43—42no—
337C2×D43—42no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—42no—
341C2×D43—42no—
342C2×D43—81no—
343C2×D43—81no—
344C2×D43—81no—
345C2×D43—81no—
346C2×D43—81no—
347C2×D43—81no—
348C2×D43—81no—
349C2×D43—81no—
350C4×C43—22no—
351C4×C43—22no—
352C4×C43—42no—
353C4×C43—42no—
354C4×C43—81no—
355C4×C43—81no—
356C4×C43#52011yescharacteristic
357C4×C43#52011yescharacteristic
358C4×C43#53511yescharacteristic
359C4×C43#53611yescharacteristic
360Dic43—22no—
361Dic43—22no—
362Dic43—22no—
363Dic43—81no—
364Dic43—81no—
365C2×#540—431no—
366C2×#424—431no—
367#2314—431no—
368#1989—431no—
369#1989D4311yescharacteristic, complemented
370#1982—431no—
371#1982—431no—
372#1895—431no—
373#1895—431no—
374#1893—431no—
375#1893—431no—
376#1804—431no—
377#1804—431no—
378#1802—431no—
379#1802—431no—
380C2×C43#231111yescharacteristic
381C2×C43#289711yescharacteristic
382C2×C43#289711yescharacteristic
383C2×C43#325711yescharacteristic
384C2×C43#325711yescharacteristic
385C2×C43#325911yescharacteristic
386C2×C43#326011yescharacteristic
387D43—42no—
388D43—82no—
389D43—82no—
390C22×M16—431no—
391C23×C8—431no—
392#540—438no—
393#540—864no—
394C2×#127—431no—
395C2×#125C2×D4311yescharacteristic
396C2×#123—861no—
397C2×#123—861no—
398C2×#121—431no—
399C2×#121—431no—
400C2×#121—861no—
401C2×#121—861no—
402C2×C4×D4—431no—
403C2×C4×D4—431no—
404C2×#117—431no—
405#424—864no—
406C2×C4⋊C8—431no—
407C2×C4⋊C8—431no—
408C2×C4⋊C8—431no—
409C2×C4⋊C8C2×D4311yescharacteristic
410C2×#102—431no—
411C2×#102—431no—
412C2×#102—431no—
413C2×#102—431no—
414C2×#102—431no—
415C2×#102—431no—
416C2×#102—431no—
417C2×#102—431no—
418#388—861no—
419#388—861no—
420#387—861no—
421#387—861no—
422#384—431no—
423#382—431no—
424#380—431no—
425#380—431no—
426C4×C4⋊C4—431no—
427C4×C4⋊C4C2×D4311yescharacteristic
428#340—431no—
429#340—431no—
430#340—431no—
431#340—431no—
432#340C2×D4311yescharacteristic
433#340C2×D4311yescharacteristic
434#340C2×D4311yescharacteristic
435#340C2×D4311yescharacteristic
436C43#2189711yescharacteristic, complemented, Sylow
437C22×D4—431no—
438C22×D4—431no—
439C22×D4—861no—
440C22×D4—861no—
441C22×D4—861no—
442C22×D4—861no—
443C23×C4—431no—
444C23×C4—861no—
445C23×C4—861no—
446C2×M16—862no—
447C2×M16—1721no—
448C2×M16—1721no—
449C22×C8—431no—
450C22×C8—431no—
451C22×C8—862no—
452C22×C8—1721no—
453C22×C8—1721no—
454C22×C8C22×D4311yescharacteristic
455C22×C8C22×D4311yescharacteristic
456#127—434no—
457#127—862no—
458#125—22no—
459#125C4×D4314yes—
460#123—868no—
461#123—868no—
462#121—434no—
463#121—434no—
464#121—868no—
465#121—868no—
466#121—862no—
467#121—862no—
468C4×D4—434no—
469C4×D4—434no—
470C4×D4—862no—
471C4×D4—862no—
472#117—434no—
473#117—434no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—431no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4C22×D4311yescharacteristic
483C2×C4⋊C4C22×D4311yescharacteristic
484C2×C4⋊C4C22×D4311yescharacteristic
485C2×C4⋊C4C22×D4311yescharacteristic
486C2×C22⋊C4—431no—
487C2×C22⋊C4—431no—
488C2×C22⋊C4—861no—
489C2×C22⋊C4—861no—
490C2×C22⋊C4—861no—
491C2×C22⋊C4—861no—
492C2×C22⋊C4—861no—
493C2×C22⋊C4—861no—
494C2×C42—21no—
495C2×C42—431no—
496C2×C42—861no—
497C2×C42C22×D4311yescharacteristic
498C4⋊C8—22no—
499C4⋊C8—862no—
500C4⋊C8—862no—
501C4⋊C8—862no—
502#102—1721no—
503#102—1721no—
504#102—1721no—
505#102—1721no—
506#102—1721no—
507#102—1721no—
508#102—1721no—
509#102—1721no—
510#95—21no—
511#95—861no—
512#95—861no—
513#95—861no—
514#95—861no—
515#95—861no—
516C24—431no—
517C24—861no—
518C24—861no—
519C2×D4—432no—
520C2×D4—432no—
521C2×D4—864no—
522C2×D4—864no—
523C2×D4—864no—
524C2×D4—864no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—861no—
530C2×D4—861no—
531C2×D4—861no—
532C2×D4—861no—
533C2×D4—861no—
534C2×D4—861no—
535C2×D4—3441no—
536C2×D4—3441no—
537C2×D4—3441no—
538C2×D4—3441no—
539C2×D4—3441no—
540C2×D4—3441no—
541C2×D4—3441no—
542C2×D4—3441no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—431no—
548C22×C4—431no—
549C22×C4—431no—
550C22×C4—432no—
551C22×C4—432no—
552C22×C4—864no—
553C22×C4—864no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—861no—
560C22×C4—3441no—
561C22×C4—3441no—
562C22×C4—3441no—
563C22×C4—3441no—
564C22×C4D4×D4311yescharacteristic
565C22×C4D4×D4311yescharacteristic
566C22×C4C23×D4311yescharacteristic
567M16—1724no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—861no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8—1724no—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—434no—
590C4⋊C4—434no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—3441no—
596C4⋊C4—3441no—
597C4⋊C4C2×C4×D4312yes—
598C4⋊C4C2×C4×D4312yes—
599C22⋊C4—434no—
600C22⋊C4—434no—
601C22⋊C4—864no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C22⋊C4—864no—
605C22⋊C4—3441no—
606C22⋊C4—3441no—
607C42—81no—
608C42—432no—
609C42—432no—
610C42—3441no—
611C42C2×C4×D4312yes—
612C42D4×D4312yes—
613C23—432no—
614C23—861no—
615C23—861no—
616C23—861no—
617C23—861no—
618C23—861no—
619C23—861no—
620C23—862no—
621C23—862no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23—1721no—
626C23—1721no—
627C23—1721no—
628C23—1721no—
629C23—1721no—
630C23—1721no—
631C23—1721no—
632C23—1721no—
633C23—1721no—
634C23C2×D4×D4311yescharacteristic
635D4—862no—
636D4—862no—
637D4—862no—
638D4—862no—
639D4—3444no—
640D4—3444no—
641D4—3444no—
642D4—3444no—
643D4—1721no—
644D4—1721no—
645D4—1721no—
646D4—1721no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—432no—
664C2×C4—432no—
665C2×C4—432no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—862no—
673C2×C4—862no—
674C2×C4—862no—
675C2×C4—862no—
676C2×C4—3444no—
677C2×C4—3444no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4—1721no—
683C2×C4—1721no—
684C2×C4C22⋊C4×D4312yes—
685C2×C4C22⋊C4×D4312yes—
686C2×C4C22×C4×D4311yescharacteristic
687C2×C4C2×D4×D4311yescharacteristic
688C2×C4#1306337111yescharacteristic
689C2×C4#1306337111yescharacteristic
690C2×C4#1306337311yescharacteristic
691C2×C4#1306337311yescharacteristic
692C8—41no—
693C8—41no—
694C8—1721no—
695C8—1721no—
696C22—862no—
697C22—862no—
698C22—862no—
699C22—3441no—
700C22—3441no—
701C22—3441no—
702C22—3441no—
703C22—3441no—
704C22—3441no—
705C22—3441no—
706C22—3441no—
707C22—1722no—
708C22—1722no—
709C22—1722no—
710C22—1722no—
711C22—1722no—
712C22—1722no—
713C22—1721no—
714C22—1721no—
715C22—1721no—
716C22—1721no—
717C22C2×C22⋊C4×D4311yescharacteristic
718C22#1458347911yescharacteristic
719C22#1458347911yescharacteristic
720C22#1458370111yescharacteristic
721C22#1458370311yescharacteristic
722C22#1458370611yescharacteristic
723C22#1458370811yescharacteristic
724C4—22no—
725C4—22no—
726C4—42no—
727C4—42no—
728C4—81no—
729C4—81no—
730C4—862no—
731C4—862no—
732C4—862no—
733C4—3441no—
734C4—3441no—
735C4#1458338111yescharacteristic
736C4#1458338111yescharacteristic
737C4#1458346711yescharacteristic
738C4#1458347411yescharacteristic
739C2—3442no—
740C2—3442no—
741C2—1722no—
742C2#1913718611yescharacteristic
743C2#1914311711yescharacteristic
744C2#1914311911yescharacteristic
745C2#1914601011yescharacteristic
746C2#1914601211yescharacteristic
747C2#1914603311yescharacteristic
748C2#1914604011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1989C2
socleC23×C43C22×D4
prime radicalC2×#14583505C2
cosocleC22×C4×C43C24
hypercenter#1989D43
hypocenterC43#21897
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1989

Complements

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

NH ≅ G/Ntype
2. C2×#14582924C2semidirect
3. #19137200C2semidirect
4. #19135553C2semidirect
5. #19135522C2semidirect
6. #19135521C2semidirect
7. #19135032C2semidirect
8. #19135032C2semidirect
9. #19135022C2semidirect
10. #19135022C2semidirect
11. #19134604C2semidirect
12. #19134604C2semidirect
13. #19134594C2semidirect
14. #19134594C2semidirect
15. C43×#1989C2semidirect
19. #14583505C4semidirect
369. #1989D43semidirect
436. C43#21897semidirect

Maximal subgroups

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

subgroupindex
C2×#145835052
C2×#145829242
#191372002
#191355532
#191355222
#191355212
#191350322
#191350222
#191346042
#191345942
C43×#19892
#2189743