Finite Group Databasebeta

← #25124977

Subgroups — #25124977

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×#14583507C211yesmaximal, characteristic, complemented
2C2×#14582997C211yesmaximal, characteristic, complemented
3C2×C4×#10621873C211yesmaximal, characteristic, complemented
4#19137289C211yesmaximal, characteristic
5#19135932C211yesmaximal, characteristic, complemented
6#19135840C211yesmaximal, characteristic, complemented
7#19135801C211yesmaximal, characteristic, complemented
8#19135790C211yesmaximal, characteristic, complemented
9#19135740C211yesmaximal, characteristic, complemented
10#19135679C211yesmaximal, characteristic, complemented
11#19135601C211yesmaximal, characteristic
12#19135597C211yesmaximal, characteristic
13#19134428C211yesmaximal, characteristic, complemented
14#19134362C211yesmaximal, characteristic, complemented
15C4×#103×C43C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×#10621884C2211yescharacteristic
18#14583507—24no—
19#14583507—24no—
20C2×#13063323C2211yescharacteristic
21C2×#13063320—21no—
22C2×#13063319—21no—
23C2×#13063317—21no—
24C2×#13063316C2211yescharacteristic
25C2×#13063315—21no—
26C2×#13063305C2211yescharacteristic
27C2×#13063301C2211yescharacteristic
28C2×#13063300C2211yescharacteristic
29C2×C4×Dic86C2211yescharacteristic
30C2×C4×D172C2211yescharacteristic
31C2×#13063282C2211yescharacteristic
32#14582997—24no—
33C4×#10621873—24no—
34C2×#13063258C2211yescharacteristic
35C2×#13063257C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37C2×#13063249C2211yescharacteristic
38C2×#13063248C2211yescharacteristic
39C2×#13063248C2211yescharacteristic
40C2×#13063247C2211yescharacteristic
41C2×#13063245C2211yescharacteristic
42C2×(C2×D43)⋊C8C2211yescharacteristic
43C2×(C2×D43)⋊C8C2211yescharacteristic
44C2×#13063236C2211yescharacteristic
45#14582801—21no—
46#14582800C2211yescharacteristic
47#14582798C2211yescharacteristic
48#14582790—21no—
49#14582777—21no—
50#14582773—21no—
51#14582756C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×C4×Q8×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×C4×C8×C43C2211yescharacteristic
60C4×C4⋊C4×C43C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×D172—21no—
65C22×D172C2311yescharacteristic
66C22×C4×D43—21no—
67C22×C4×D43C2311yescharacteristic
68C2×#10621873—22no—
69C2×#10621873—22no—
70C2×#10621873—22no—
71C2×#10621884—22no—
72C2×#10621884—22no—
73C2×#10621884—22no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063323—22no—
77#13063323—22no—
78#13063320—28no—
79#13063319—28no—
80#13063317—28no—
81#13063316—22no—
82#13063316—22no—
83#13063315—28no—
84#13063305—22no—
85#13063305—22no—
86#13063301—22no—
87#13063301—22no—
88#13063300—22no—
89#13063300—22no—
90C4×Dic86—22no—
91C4×Dic86D414yescomplemented
92C4×D172—22no—
93C4×D172—22no—
94#13063282—22no—
95#13063282—22no—
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43—21no—
98C2×C4⋊Dic43—21no—
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⋊C4D411yescharacteristic
107C2×Dic43⋊C4D411yescharacteristic
108C2×(C2×D43)⋊C4—21no—
109C2×(C2×D43)⋊C4—21no—
110C2×(C2×D43)⋊C4—21no—
111C2×(C2×D43)⋊C4—21no—
112C2×(C2×D43)⋊C4—21no—
113C2×(C2×D43)⋊C4—21no—
114C2×(C2×D43)⋊C4—21no—
115C2×(C2×D43)⋊C4D411yescharacteristic
116C2×(C2×D43)⋊C4D411yescharacteristic
117C2×C4×Dic43—21no—
118C2×C4×Dic43C2311yescharacteristic
119#13063258—22no—
120#13063257—22no—
121#13063250—22no—
122#13063249—22no—
123#13063248—22no—
124#13063248—22no—
125#13063247—22no—
126#13063245—22no—
127(C2×D43)⋊C8—22no—
128(C2×D43)⋊C8—22no—
129#13063236—22no—
130C43⋊#95—21no—
131C43⋊#95—21no—
132C22×Q8×C43C2311yescharacteristic
133C22×C8×C43C2311yescharacteristic
134C22×C8×C43C2311yescharacteristic
135C4×Q8×C43—22no—
136C4×Q8×C43D414yescomplemented
137C2×C4⋊C4×C43—21no—
138C2×C4⋊C4×C43C2311yescharacteristic
139C2×C4⋊C4×C43C2311yescharacteristic
140C2×C4⋊C4×C43C2311yescharacteristic
141C2×C42×C43—21no—
142C2×C42×C43—21no—
143C2×C42×C43C2311yescharacteristic
144#103×C43—22no—
145#103×C43—22no—
146C4×C8×C43—22no—
147#95×C43—21no—
148C23×D43—21no—
149C23×D43C2×D411yescharacteristic
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43C2×D412yes—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2411yescharacteristic
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C22×Dic43C2×D411yescharacteristic
169C2×D172—21no—
170C2×D172—24no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—81no—
176C2×D172—81no—
177C2×D172#4112yes—
178C2×C4×D43—21no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×C4×D43—21no—
182C2×C4×D43—21no—
183C2×C4×D43—21no—
184C2×C4×D43—42no—
185C2×C4×D43—81no—
186C2×C4×D43—81no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
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#4112yes—
199C4⋊C4×C43—24no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43C2×D412yes—
205C4⋊C4×C43#4112yes—
206C42×C43—24no—
207C42×C43—81no—
208C42×C43C2×D412yes—
209C42×C43C2×D412yes—
210#10621884—28no—
211(C2×D43)⋊C4—24no—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—24no—
214(C2×D43)⋊C4—22no—
215(C2×D43)⋊C4—22no—
216(C2×D43)⋊C4—42no—
217(C2×D43)⋊C4—81no—
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—81no—
226C4⋊Dic43C2×D412yes—
227Dic43⋊C4—24no—
228Dic43⋊C4—24no—
229Dic43⋊C4—24no—
230Dic43⋊C4—24no—
231Dic43⋊C4—24no—
232Dic43⋊C4—22no—
233Dic43⋊C4—22no—
234C4×Dic43—24no—
235C4×Dic43—21no—
236C4×Dic43—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8#4112yes—
243#10621873—28no—
244C23×C43C22×D411yescharacteristic
245C22×D43—21no—
246C22×D43—22no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43—21no—
250C22×D43—21no—
251C22×D43—21no—
252C22×D43—21no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—41no—
258C22×D43—41no—
259Q8×C43—22no—
260Q8×C43—22no—
261Q8×C43—41no—
262Q8×C43—41no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
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×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43#12012yes—
280C2×C4×C43#12012yes—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2×#4111yescharacteristic
286C2×C4×C43C2×#4111yescharacteristic
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305D172—22no—
306D172—22no—
307D172—41no—
308D172—41no—
309D172—84no—
310C4×D43—41no—
311C4×D43—41no—
312C4×D43—41no—
313C4×D43—41no—
314C4×D43—84no—
315Dic86—22no—
316Dic86—22no—
317Dic86—41no—
318Dic86—41no—
319C8×C43—22no—
320C8×C43—41no—
321C43⋊C8—22no—
322C43⋊C8—41no—
323#23584—431nomaximal, Sylow
324C22×C43C2×#12011yescharacteristic
325C22×C43#52511yescharacteristic
326C22×C43#53211yescharacteristic
327C22×C43#57711yescharacteristic
328C22×C43#57711yescharacteristic
329C22×C43#57711yescharacteristic
330C22×C43#57811yescharacteristic
331C2×D43—41no—
332C2×D43—42no—
333C2×D43—41no—
334C2×D43—42no—
335C2×D43—41no—
336C2×D43—42no—
337C2×D43—41no—
338C2×D43—41no—
339C2×D43—41no—
340C2×D43—41no—
341C2×D43—81no—
342C2×D43—81no—
343C2×D43—81no—
344C2×D43—81no—
345C4×C43—22no—
346C4×C43—22no—
347C4×C43—42no—
348C4×C43—42no—
349C4×C43—42no—
350C4×C43—81no—
351C4×C43#52511yescharacteristic
352C4×C43#52511yescharacteristic
353C4×C43#53211yescharacteristic
354C4×C43#53211yescharacteristic
355Dic43—42no—
356Dic43—41no—
357Dic43—41no—
358Dic43—41no—
359Dic43—42no—
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×#103D4311yescharacteristic, complemented
375#1750—431no—
376C2×C43#238811yescharacteristic
377C2×C43#301011yescharacteristic
378C2×C43#301311yescharacteristic
379C2×C43#312011yescharacteristic
380C2×C43#312311yescharacteristic
381C2×C43#317411yescharacteristic
382C2×C43#317811yescharacteristic
383D43—81no—
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×Q8C2×D4311yescharacteristic
400C2×C4×D4—431no—
401C2×#117—431no—
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×#103C2×D4311yescharacteristic
411C2×#103C2×D4311yescharacteristic
412C2×#102—431no—
413C2×#102—431no—
414C2×C22⋊C8—431no—
415C2×C22⋊C8—431no—
416C2×#97—431no—
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⋊C4C2×D4311yescharacteristic
426#340—431no—
427#340—431no—
428#340C2×D4311yescharacteristic
429#340C2×D4311yescharacteristic
430#336—431no—
431#336—431no—
432C43#2358411yescharacteristic, complemented, Sylow
433C22×Q8—431no—
434C22×Q8C22×D4311yescharacteristic
435C22×D4—431no—
436C22×D4—861no—
437C23×C4—431no—
438C23×C4—861no—
439C2×SD16—862no—
440C2×SD16—862no—
441C2×SD16—862no—
442C2×SD16—862no—
443C2×SD16—862no—
444C2×SD16—862no—
445C22×C8—431no—
446C22×C8—431no—
447C22×C8C22×D4311yescharacteristic
448C22×C8C22×D4311yescharacteristic
449C4⋊Q8—862no—
450C4⋊Q8—862no—
451#126—868no—
452#126—868no—
453#125—868no—
454#125—862no—
455#125—868no—
456#125—862no—
457C22⋊Q8—862no—
458C22⋊Q8—862no—
459C22⋊Q8—862no—
460C22⋊Q8—862no—
461#121—862no—
462#121—862no—
463C4×Q8—22no—
464C4×Q8—434no—
465C4×Q8—862no—
466C4×Q8D17214yescomplemented
467C4×D4—862no—
468C4×D4—862no—
469#117—862no—
470#117—862no—
471C2×C4⋊C4—21no—
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⋊C4C22×D4311yescharacteristic
485C2×C4⋊C4C22×D4311yescharacteristic
486C2×C4⋊C4C22×D4311yescharacteristic
487C2×C22⋊C4—431no—
488C2×C22⋊C4—431no—
489C2×C22⋊C4—861no—
490C2×C22⋊C4—861no—
491C2×C22⋊C4—861no—
492C2×C22⋊C4—861no—
493C2×C22⋊C4—861no—
494C2×C22⋊C4—861no—
495C2×C22⋊C4—861no—
496C2×C42—21no—
497C2×C42—21no—
498C2×C42—431no—
499C2×C42—861no—
500C2×C42C22×D4311yescharacteristic
501#107—862no—
502#106—862no—
503#103—22no—
504#103—22no—
505#103—862no—
506#103—862no—
507#103—862no—
508#103—862no—
509#102—862no—
510#102—862no—
511C22⋊C8—862no—
512C22⋊C8—862no—
513#97—862no—
514C4×C8—22no—
515#95—21no—
516#95—861no—
517#95—861no—
518C24—431no—
519C24—861no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—432no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×Q8—861no—
531C2×Q8C2×D17212yes—
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—431no—
546C22×C4—431no—
547C22×C4—431no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—3441no—
558C22×C4—3441no—
559C22×C4—1722no—
560C22×C4D4×D4311yescharacteristic
561C22×C4D4×D4311yescharacteristic
562C22×C4C23×D4311yescharacteristic
563SD16—868no—
564SD16—868no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—432no—
571C2×C8—861no—
572C2×C8—861no—
573C2×C8—861no—
574C2×C8—861no—
575C2×C8—861no—
576C2×C8#1062189812yes—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—432no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—862no—
590C4⋊C4—862no—
591C4⋊C4—864no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—3441no—
596C4⋊C4C2×D17212yes—
597C4⋊C4#1062189812yes—
598C22⋊C4—864no—
599C22⋊C4—864no—
600C22⋊C4—864no—
601C22⋊C4—862no—
602C22⋊C4—862no—
603C22⋊C4—3441no—
604C22⋊C4—3441no—
605C22⋊C4—3441no—
606C22⋊C4—1722no—
607C42—24no—
608C42—81no—
609C42—864no—
610C42—861no—
611C42—861no—
612C42C2×D17212yes—
613C42D4×D4312yes—
614C23—861no—
615C23—862no—
616C23—861no—
617C23—861no—
618C23—861no—
619C23—861no—
620C23—861no—
621C23—861no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23—1721no—
626C23—1721no—
627C23—1721no—
628C23C2×D4×D4311yescharacteristic
629Q8—22no—
630Q8—22no—
631Q8—41no—
632Q8—41no—
633Q8—862no—
634Q8—862no—
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—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—862no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—862no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—3444no—
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×C4C22×D17211yescharacteristic
685C2×C4#41×D4311yescharacteristic
686C2×C4#41×D4311yescharacteristic
687C2×C4C2×#1062189811yescharacteristic
688C2×C4C2×#1062189811yescharacteristic
689C8—22no—
690C8—41no—
691C8—862no—
692C8—1721no—
693C22—3441no—
694C22—3441no—
695C22—3441no—
696C22—3441no—
697C22—1721no—
698C22—1721no—
699C22—1722no—
700C22—1721no—
701C22—1721no—
702C22—1722no—
703C22—1721no—
704C22—1722no—
705C22—1721no—
706C22—1721no—
707C22C2×#1306329511yescharacteristic
708C22#1458340811yescharacteristic
709C22#1458344611yescharacteristic
710C22#1458370511yescharacteristic
711C22#1458370611yescharacteristic
712C22#1458370611yescharacteristic
713C22#1458371211yescharacteristic
714C4—22no—
715C4—22no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—81no—
720C4—3441no—
721C4—1721no—
722C4—1722no—
723C4—1721no—
724C4—1721no—
725C4—1722no—
726C4#1458340811yescharacteristic
727C4#1458341111yescharacteristic
728C4#1458344611yescharacteristic
729C4#1458344911yescharacteristic
730C2—3442no—
731C2—3441no—
732C2#1913781111yescharacteristic
733C2#1914388411yescharacteristic
734C2#1914391511yescharacteristic
735C2#1914481511yescharacteristic
736C2#1914484411yescharacteristic
737C2#1914521911yescharacteristic
738C2#1914526711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC4×#103×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
hypercenterC4×#103D43
hypocenterC43#23584
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
1. C2×#14583507C2semidirect
2. C2×#14582997C2semidirect
3. C2×C4×#10621873C2semidirect
5. #19135932C2semidirect
6. #19135840C2semidirect
7. #19135801C2semidirect
8. #19135790C2semidirect
9. #19135740C2semidirect
10. #19135679C2semidirect
13. #19134428C2semidirect
14. #19134362C2semidirect
15. C4×#103×C43C2semidirect
91. C4×Dic86D4semidirect
136. C4×Q8×C43D4semidirect
374. C4×#103D43semidirect
432. C43#23584semidirect
466. C4×Q8D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145835072
C2×#145829972
C2×C4×#106218732
#191372892
#191359322
#191358402
#191358012
#191357902
#191357402
#191356792
#191356012
#191355972
#191344282
#191343622
C4×#103×C432
#2358443