Finite Group Databasebeta

← #25124973

Subgroups — #25124973

Order 11008.

1114 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583511C211yesmaximal, characteristic, complemented
2C2×#14583001C211yesmaximal, characteristic, complemented
3C2×C4×#10621873C211yesmaximal, characteristic, complemented
4#19137288C211yesmaximal, characteristic
5#19135934C211yesmaximal, characteristic, complemented
6#19135842C211yesmaximal, characteristic, complemented
7#19135799C211yesmaximal, characteristic, complemented
8#19135792C211yesmaximal, characteristic, complemented
9#19135742C211yesmaximal, characteristic, complemented
10#19135680C211yesmaximal, characteristic, complemented
11#19135600C211yesmaximal, characteristic
12#19135600C211yesmaximal, characteristic
13#19134426C211yesmaximal, characteristic, complemented
14C4×#13063250C211yesmaximal, characteristic, complemented
15C43×#1750C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×#10621873C2211yescharacteristic
18#14583511—24no—
19#14583511—24no—
20C2×#13063325C2211yescharacteristic
21C2×#13063318—21no—
22C2×#13063318—21no—
23C2×#13063317C2211yescharacteristic
24C2×#13063315—21no—
25C2×#13063315—21no—
26C2×#13063304C2211yescharacteristic
27C2×#13063304C2211yescharacteristic
28C2×#13063299C2211yescharacteristic
29C2×C4×Dic86C2211yescharacteristic
30C2×C4×Dic86C2211yescharacteristic
31C2×C4×D172C2211yescharacteristic
32#14583001—24no—
33C4×#10621873—24no—
34C2×#13063259C2211yescharacteristic
35C2×#13063257C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37C2×#13063250C2211yescharacteristic
38C2×#13063250C2211yescharacteristic
39C2×#13063250C2211yescharacteristic
40C2×#13063250C2211yescharacteristic
41C2×#13063250C2211yescharacteristic
42C2×#13063247C2211yescharacteristic
43C2×#13063247C2211yescharacteristic
44#14582801C2211yescharacteristic
45#14582799—21no—
46#14582797C2211yescharacteristic
47#14582789—21no—
48#14582775—21no—
49#14582770—21no—
50#14582759C2211yescharacteristic
51C4×C4⋊Dic43C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54#14582662C2211yescharacteristic
55#14582662C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C2×C22⋊C8×C43C2211yescharacteristic
58C2×C22⋊C8×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C2×C4×C8×C43C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×Dic86C2311yescharacteristic
65C22×D172C2311yescharacteristic
66C22×C22⋊D43—21no—
67C22×C4×D43—21no—
68C2×#10621873—22no—
69C2×#10621873—22no—
70C2×#10621873—22no—
71C2×#10621873—22no—
72C2×#10621873—22no—
73C2×#10621873—22no—
74#13063325—22no—
75#13063325—22no—
76#13063318—28no—
77#13063318—28no—
78#13063317—22no—
79#13063317—22no—
80#13063315—28no—
81#13063315—28no—
82#13063304—22no—
83#13063304—22no—
84#13063304—22no—
85#13063304—22no—
86#13063299—22no—
87#13063299—22no—
88C4×Dic86—22no—
89C4×Dic86—22no—
90C4×Dic86D414yescomplemented
91C4×Dic86D414yescomplemented
92C4×D172—22no—
93C4×D172—22no—
94C2×C4⋊Dic43—21no—
95C2×C4⋊Dic43—21no—
96C2×C4⋊Dic43C2311yescharacteristic
97C2×C4⋊Dic43C2311yescharacteristic
98C2×C4⋊Dic43C2311yescharacteristic
99C2×C4⋊Dic43C2311yescharacteristic
100C2×C4⋊Dic43C2311yescharacteristic
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4—21no—
105C2×Dic43⋊C4—21no—
106C2×Dic43⋊C4—21no—
107C2×Dic43⋊C4—21no—
108C2×C22⋊Dic43—21no—
109C2×C22⋊Dic43—21no—
110C2×C22⋊Dic43—21no—
111C2×(C2×D43)⋊C4—21no—
112C2×(C2×D43)⋊C4—21no—
113C2×(C2×D43)⋊C4—21no—
114C2×(C2×D43)⋊C4—21no—
115C2×C4×Dic43—21no—
116C2×C4×Dic43—21no—
117C2×C4×Dic43—21no—
118#13063259—22no—
119#13063257—22no—
120#13063250—22no—
121#13063250—22no—
122#13063250—22no—
123#13063250—22no—
124#13063250—22no—
125#13063250—22no—
126#13063247—22no—
127#13063247—22no—
128C43⋊#95—21no—
129C43⋊#95—21no—
130C43⋊#95—21no—
131C23×C4×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133C22×C8×C43C2311yescharacteristic
134C22×C8×C43C2311yescharacteristic
135C22×C8×C43C2311yescharacteristic
136#117×C43—22no—
137#117×C43—22no—
138C2×C4⋊C4×C43D411yescharacteristic
139C2×C4⋊C4×C43D411yescharacteristic
140C2×C22⋊C4×C43D411yescharacteristic
141C2×C22⋊C4×C43D411yescharacteristic
142C2×C42×C43C2311yescharacteristic
143C2×C42×C43C2311yescharacteristic
144C22⋊C8×C43—22no—
145C22⋊C8×C43—22no—
146#97×C43—22no—
147C4×C8×C43—22no—
148C24×C43C2×D411yescharacteristic
149C23×D43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2411yescharacteristic
162C2×C22⋊D43—24no—
163C2×C22⋊D43—81no—
164C2×C22⋊D43—81no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172#4112yes—
178C2×C4×D43—42no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86C2×D412yes—
192C2×Dic86C2×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—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43#4112yes—
204C2×C8×C43#4112yes—
205C4⋊C4×C43—22no—
206C4⋊C4×C43—22no—
207C22⋊C4×C43—22no—
208C22⋊C4×C43—22no—
209C42×C43—21no—
210C42×C43—21no—
211C42×C43C2×D412yes—
212C42×C43C2×D412yes—
213C22⋊Dic43—24no—
214C22⋊Dic43—24no—
215C22⋊Dic43—81no—
216(C2×D43)⋊C4—24no—
217(C2×D43)⋊C4—42no—
218(C2×D43)⋊C4—81no—
219(C2×D43)⋊C4—81no—
220C4⋊Dic43—24no—
221C4⋊Dic43—24no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—21no—
227C4⋊Dic43—21no—
228C4⋊Dic43—21no—
229C4⋊Dic43C2×D412yes—
230C4⋊Dic43C2×D412yes—
231C4⋊Dic43#4112yes—
232Dic43⋊C4—24no—
233Dic43⋊C4—24no—
234Dic43⋊C4—24no—
235Dic43⋊C4—24no—
236Dic43⋊C4—24no—
237Dic43⋊C4—24no—
238Dic43⋊C4—81no—
239C4×Dic43—24no—
240C4×Dic43—24no—
241C4×Dic43—81no—
242#10621873—28no—
243#10621873—28no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43—21no—
247C23×C43—21no—
248C23×C43—21no—
249C23×C43—21no—
250C23×C43—21no—
251C23×C43C22×D411yescharacteristic
252C22×D43—22no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—41no—
258C22×D43—41no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43#12012yes—
277C2×C4×C43#12012yes—
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C22⋊D43—84no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
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×Dic43—41no—
305C2×Dic43—41no—
306D172—22no—
307D172—22no—
308D172—41no—
309D172—41no—
310C4×D43—84no—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86—22no—
315Dic86—41no—
316Dic86—41no—
317Dic86—41no—
318Dic86—41no—
319C8×C43—22no—
320C8×C43—22no—
321C8×C43—41no—
322C8×C43—41no—
323#23584—431nomaximal, Sylow
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—41no—
327C22×C43—41no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43—41no—
331C22×C43C2×#12011yescharacteristic
332C22×C43#52511yescharacteristic
333C22×C43#53211yescharacteristic
334C22×C43#57711yescharacteristic
335C22×C43#57711yescharacteristic
336C22×C43#57711yescharacteristic
337C22×C43#57811yescharacteristic
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—42no—
341C2×D43—81no—
342C2×D43—81no—
343C2×D43—81no—
344C2×D43—81no—
345C4×C43—22no—
346C4×C43—22no—
347C4×C43—41no—
348C4×C43—41no—
349C4×C43—41no—
350C4×C43#52511yescharacteristic
351C4×C43#52511yescharacteristic
352C4×C43#53211yescharacteristic
353C4×C43#53211yescharacteristic
354Dic43—42no—
355Dic43—42no—
356Dic43—42no—
357Dic43—42no—
358Dic43—42no—
359Dic43—81no—
360Dic43—81no—
361C2×#541—431no—
362C2×#440—431no—
363C2×C4×SD16—431no—
364#2324—431no—
365#2059—431no—
366#2043—431no—
367#2036—431no—
368#2035—431no—
369#2025—431no—
370#2013—431no—
371#2000—431no—
372#2000—431no—
373#1763—431no—
374C4×#103—431no—
375#1750D4311yescharacteristic, complemented
376C2×C43—81no—
377C2×C43#238811yescharacteristic
378C2×C43#301011yescharacteristic
379C2×C43#301311yescharacteristic
380C2×C43#312011yescharacteristic
381C2×C43#312311yescharacteristic
382C2×C43#317411yescharacteristic
383C2×C43#317811yescharacteristic
384D43—82no—
385C22×SD16—431no—
386C22×SD16—431no—
387#541—864no—
388#541—864no—
389C2×C4⋊Q8—431no—
390C2×#126—861no—
391C2×#126—861no—
392C2×#125—431no—
393C2×#125—861no—
394C2×#125—861no—
395C2×C22⋊Q8—431no—
396C2×C22⋊Q8—431no—
397C2×#121—431no—
398C2×C4×Q8—431no—
399C2×C4×Q8—431no—
400C2×C4×D4—431no—
401C2×#117C2×D4311yescharacteristic
402#440—864no—
403C4×SD16—864no—
404C2×#107—431no—
405C2×#106—431no—
406C2×#103—431no—
407C2×#103—431no—
408C2×#103—431no—
409C2×#103—431no—
410C2×#103—431no—
411C2×#103—431no—
412C2×#102—431no—
413C2×#102—431no—
414C2×C22⋊C8C2×D4311yescharacteristic
415C2×C22⋊C8C2×D4311yescharacteristic
416C2×#97C2×D4311yescharacteristic
417C2×C4×C8C2×D4311yescharacteristic
418#390—431no—
419#390—861no—
420#389—431no—
421#388—861no—
422#386—861no—
423#385—861no—
424#380—431no—
425C4×C4⋊C4—431no—
426#340—431no—
427#340—431no—
428#340—431no—
429#340—431no—
430#336C2×D4311yescharacteristic
431#336C2×D4311yescharacteristic
432C43#2358411yescharacteristic, complemented, Sylow
433C22×Q8—431no—
434C22×Q8—431no—
435C22×D4—431no—
436C22×D4—861no—
437C23×C4—861no—
438C23×C4C22×D4311yescharacteristic
439C2×SD16—862no—
440C2×SD16—862no—
441C2×SD16—862no—
442C2×SD16—862no—
443C2×SD16—862no—
444C2×SD16—862no—
445C22×C8C22×D4311yescharacteristic
446C22×C8C22×D4311yescharacteristic
447C22×C8C22×D4311yescharacteristic
448C22×C8C22×D4311yescharacteristic
449C4⋊Q8—862no—
450C4⋊Q8—862no—
451#126—868no—
452#126—868no—
453#125—862no—
454#125—862no—
455#125—868no—
456#125—868no—
457C22⋊Q8—862no—
458C22⋊Q8—862no—
459C22⋊Q8—862no—
460C22⋊Q8—862no—
461#121—862no—
462#121—862no—
463C4×Q8—434no—
464C4×Q8—434no—
465C4×Q8—862no—
466C4×Q8—862no—
467C4×D4—862no—
468C4×D4—862no—
469#117—22no—
470#117—22no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—861no—
484C2×C4⋊C4—861no—
485C2×C4⋊C4D17211yescharacteristic
486C2×C4⋊C4D17211yescharacteristic
487C2×C22⋊C4—861no—
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×C22⋊C4D17211yescharacteristic
495C2×C22⋊C4D17211yescharacteristic
496C2×C42—861no—
497C2×C42—861no—
498C2×C42—861no—
499C2×C42C22×D4311yescharacteristic
500C2×C42C22×D4311yescharacteristic
501#107—862no—
502#106—862no—
503#103—862no—
504#103—862no—
505#103—862no—
506#103—862no—
507#103—862no—
508#103—862no—
509#102—862no—
510#102—862no—
511C22⋊C8—22no—
512C22⋊C8—22no—
513#97—22no—
514C4×C8—22no—
515#95—861no—
516#95—861no—
517#95—861no—
518C24—861no—
519C24C2×D17211yescharacteristic
520C2×Q8—432no—
521C2×Q8—432no—
522C2×Q8—861no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×Q8—861no—
531C2×Q8—861no—
532C2×D4—432no—
533C2×D4—864no—
534C2×D4—861no—
535C2×D4—861no—
536C2×D4—861no—
537C2×D4—861no—
538C2×D4—861no—
539C2×D4—3441no—
540C2×D4—3441no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—3441no—
555C22×C4—3441no—
556C22×C4—1722no—
557C22×C4C2×D17211yescharacteristic
558C22×C4C2×D17211yescharacteristic
559C22×C4C2×D17211yescharacteristic
560C22×C4C2×D17211yescharacteristic
561C22×C4C2×D17211yescharacteristic
562C22×C4C23×D4311yescharacteristic
563SD16—868no—
564SD16—868no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8#1062189812yes—
576C2×C8#1062189812yes—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—432no—
580C4⋊C4—432no—
581C4⋊C4—432no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—861no—
596C4⋊C4—861no—
597C4⋊C4—3441no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—864no—
601C22⋊C4—864no—
602C22⋊C4—864no—
603C22⋊C4—3441no—
604C22⋊C4—3441no—
605C22⋊C4—3441no—
606C22⋊C4—1722no—
607C42—21no—
608C42—21no—
609C42—864no—
610C42—864no—
611C42—3441no—
612C42D4×D4312yes—
613C42D4×D4312yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—862no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23—1721no—
626C23—1721no—
627C23—1721no—
628C23C22×D17211yescharacteristic
629Q8—862no—
630Q8—862no—
631Q8—862no—
632Q8—862no—
633Q8—1721no—
634Q8—1721no—
635Q8—1721no—
636Q8—1721no—
637D4—862no—
638D4—862no—
639D4—3444no—
640D4—1721no—
641D4—1721no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—862no—
664C2×C4—3444no—
665C2×C4—1721no—
666C2×C4—1721no—
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×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4#1306329512yes—
682C2×C4#1306329512yes—
683C2×C4C2×D4×D4311yescharacteristic
684C2×C4C2×D4×D4311yescharacteristic
685C2×C4#41×D4311yescharacteristic
686C2×C4#41×D4311yescharacteristic
687C2×C4C2×#1062189811yescharacteristic
688C2×C4C2×#1062189811yescharacteristic
689C8—22no—
690C8—22no—
691C8—41no—
692C8—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—3441no—
701C22—3441no—
702C22—3441no—
703C22—3441no—
704C22—1722no—
705C22—1722no—
706C22—1722no—
707C22C2×#1306329511yescharacteristic
708C22#1458341111yescharacteristic
709C22#1458344911yescharacteristic
710C22#1458371111yescharacteristic
711C22#1458371111yescharacteristic
712C22#1458371111yescharacteristic
713C22#1458371611yescharacteristic
714C4—22no—
715C4—22no—
716C4—41no—
717C4—41no—
718C4—41no—
719C4—3441no—
720C4—3441no—
721C4—1722no—
722C4—1722no—
723C4—1722no—
724C4—1722no—
725C4—1722no—
726C4#1458340811yescharacteristic
727C4#1458340811yescharacteristic
728C4#1458344611yescharacteristic
729C4#1458344611yescharacteristic
730C2—81no—
731C2—3442no—
732C2#1913781111yescharacteristic
733C2#1914388311yescharacteristic
734C2#1914391311yescharacteristic
735C2#1914481111yescharacteristic
736C2#1914484811yescharacteristic
737C2#1914522311yescharacteristic
738C2#1914526311yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1750C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
hypercenter#1750D43
hypocenterC43#23584
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ #1750

Complements

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

NH ≅ G/Ntype
1. C2×#14583511C2semidirect
2. C2×#14583001C2semidirect
3. C2×C4×#10621873C2semidirect
5. #19135934C2semidirect
6. #19135842C2semidirect
7. #19135799C2semidirect
8. #19135792C2semidirect
9. #19135742C2semidirect
10. #19135680C2semidirect
13. #19134426C2semidirect
14. C4×#13063250C2semidirect
15. C43×#1750C2semidirect
90. C4×Dic86D4semidirect
91. C4×Dic86D4semidirect
375. #1750D43semidirect
432. C43#23584semidirect

Maximal subgroups

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

subgroupindex
C2×#145835112
C2×#145830012
C2×C4×#106218732
#191372882
#191359342
#191358422
#191357992
#191357922
#191357422
#191356802
#191356002
#191344262
C4×#130632502
C43×#17502
#2358443