Finite Group Databasebeta

← #25114751

Subgroups — #25114751

Order 11008.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582941C211yesmaximal, characteristic, complemented
2C22×#13063257C211yesmaximal, characteristic, complemented
3#19137524C211yesmaximal, characteristic
4D4×C4⋊Dic43C211yesmaximal, characteristic
5#19135365C211yesmaximal, characteristic, complemented
6#19135359C211yesmaximal, characteristic, complemented
7#19134796C211yesmaximal, characteristic, complemented
8#19134790C211yesmaximal, characteristic, complemented
9#19134790C211yesmaximal, characteristic, complemented
10#19134785C211yesmaximal, characteristic, complemented
11#19134763C211yesmaximal, characteristic, complemented
12#19134628C211yesmaximal, characteristic, complemented
13#19134624C211yesmaximal, characteristic, complemented
14#19134492C211yesmaximal, characteristic, complemented
15C2×C43×#435C211yesmaximal, characteristic
16C2×D4×Dic43—21no—
17C2×#13063284C2211yescharacteristic
18C22×C4⋊Dic43C2211yescharacteristic
19C22×C4⋊Dic43C2211yescharacteristic
20C22×C4⋊Dic43C2211yescharacteristic
21#14582941—24no—
22C2×#13063259C2211yescharacteristic
23C2×#13063259C2211yescharacteristic
24C2×#13063259C2211yescharacteristic
25C2×#13063259C2211yescharacteristic
26C2×#13063257—24no—
27C2×#13063257C2211yescharacteristic
28C2×#13063257C2211yescharacteristic
29C2×#13063257C2211yescharacteristic
30C2×#13063257C2211yescharacteristic
31C2×#13063257C2211yescharacteristic
32C2×#13063257C2211yescharacteristic
33#14582798—21no—
34#14582792—21no—
35#14582785—21no—
36#14582779—21no—
37#14582774—21no—
38#14582774—21no—
39#14582769C2211yescharacteristic
40#14582765C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582759C2211yescharacteristic
43#14582759C2211yescharacteristic
44#14582759C2211yescharacteristic
45C4×C4⋊Dic43C2211yescharacteristic
46C4×C4⋊Dic43C2211yescharacteristic
47C22⋊C4×Dic43—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54C22×M16×C43C2211yescharacteristic
55C23×C8×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C43×#435C418yescomplemented
58C2×C4⋊C8×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C2×#97×C43C2211yescharacteristic
62C23×Dic43—21no—
63C23×Dic43—21no—
64C23×Dic43—21no—
65D4×Dic43—44no—
66#13063284—22no—
67#13063284—41no—
68C2×C4⋊Dic43—22no—
69C2×C4⋊Dic43—22no—
70C2×C4⋊Dic43—22no—
71C2×C4⋊Dic43—21no—
72C2×C4⋊Dic43—21no—
73C2×C4⋊Dic43—21no—
74C2×C4⋊Dic43—21no—
75C2×C4⋊Dic43—21no—
76C2×C4⋊Dic43—41no—
77C2×C4⋊Dic43—41no—
78C2×C4⋊Dic43—41no—
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—21no—
95#13063259—22no—
96#13063259—22no—
97#13063259—22no—
98#13063259—41no—
99#13063257—22no—
100#13063257—22no—
101#13063257—22no—
102#13063257—22no—
103#13063257—41no—
104#13063257D414yescomplemented
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C22×D4×C43D411yescharacteristic
114C23×C4×C43C2311yescharacteristic
115C23×C4×C43C2311yescharacteristic
116C2×M16×C43—22no—
117C2×M16×C43—22no—
118C2×M16×C43C2×C414yescomplemented
119C22×C8×C43—22no—
120C22×C8×C43—22no—
121C22×C8×C43C2×C414yescomplemented
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C4×D4×C43C2×C414yes—
127C4×D4×C43Q814yes—
128C2×C4⋊C4×C43D411yescharacteristic
129C2×C22⋊C4×C43D411yescharacteristic
130C2×C22⋊C4×C43D411yescharacteristic
131C2×C42×C43C2311yescharacteristic
132C4⋊C8×C43C2×C414yescomplemented
133C22⋊C8×C43C2×C414yescomplemented
134C22⋊C8×C43C2×C414yescomplemented
135#97×C43C2×C414yescomplemented
136C24×C43C2×D411yescharacteristic
137C24×C43C2×D411yescharacteristic
138C2×D4×C43—22no—
139C2×D4×C43—22no—
140C2×D4×C43C4⋊C414yes—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43C22×C412yes—
150C22×C4×C43C22×C412yes—
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×Q812yes—
156C22×C4×C43C2×Q812yes—
157C22×C4×C43C2411yescharacteristic
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—42no—
167C22×Dic43—42no—
168C22×Dic43—42no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43—42no—
172C22×Dic43—81no—
173C22×Dic43—81no—
174C22×Dic43—81no—
175M16×C43—28no—
176C2×C8×C43—21no—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—28no—
183C2×C8×C43C22×C412yes—
184C2×C8×C43C22×C412yes—
185C2×C8×C43C22×C412yes—
186C2×C8×C43C22×C412yes—
187C2×C8×C43C2×D412yes—
188C2×C8×C43#4112yes—
189C4⋊C4×C43C4⋊C414yes—
190C22⋊C4×C43C4⋊C414yes—
191C22⋊C4×C43C4⋊C414yes—
192C42×C43C22×C412yes—
193C42×C43C2×Q812yes—
194C22⋊Dic43—42no—
195C22⋊Dic43—42no—
196C22⋊Dic43—42no—
197C22⋊Dic43—42no—
198C22⋊Dic43—81no—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—42no—
214C4⋊Dic43—42no—
215C4⋊Dic43—42no—
216C4⋊Dic43—42no—
217C4⋊Dic43—81no—
218C4⋊Dic43C2×D412yes—
219C4⋊Dic43C2×D412yes—
220C4×Dic43—42no—
221C4×Dic43—42no—
222C4×Dic43—81no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43C2×C4⋊C412yes—
234C23×C43C2×C4⋊C412yes—
235C23×C43AGL(1,ℤ/8)12yes—
236C23×C43#13712yes—
237C23×C43C22×D411yescharacteristic
238D4×C43—28no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43C2×C4⋊C412yes—
256C2×C4×C43C2×C4⋊C412yes—
257C2×C4×C43C2×C4⋊C412yes—
258C2×C4×C43C2×C4⋊C412yes—
259C2×C4×C43C23×C411yescharacteristic
260C2×C4×C43C22×D411yescharacteristic
261C2×C4×C43C22×Q811yescharacteristic
262C2×C4×C43C2×#4111yescharacteristic
263C2×C4×C43H(5,𝔽2)11yescharacteristic
264C2×C4×C432−1+411yescharacteristic
265C2×Dic43—22no—
266C2×Dic43—22no—
267C2×Dic43—41no—
268C2×Dic43—41no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—84no—
290C2×Dic43—84no—
291C2×Dic43—84no—
292C8×C43—22no—
293C8×C43—22no—
294C8×C43—22no—
295C8×C43C4×D414yescomplemented
296#22659—431nomaximal, Sylow
297C22×C43—22no—
298C22×C43—22no—
299C22×C43—22no—
300C22×C43—22no—
301C22×C43—22no—
302C22×C43—22no—
303C22×C43—22no—
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—41no—
307C22×C43—41no—
308C22×C43—41no—
309C22×C43—41no—
310C22×C43#42814yescomplemented
311C22×C43C22×C4⋊C411yescharacteristic
312C22×C43D4211yescharacteristic
313C22×C43#54711yescharacteristic
314C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C43C2×#13711yescharacteristic
316C22×C43#57711yescharacteristic
317C22×C43#57711yescharacteristic
318C4×C43—22no—
319C4×C43—22no—
320C4×C43—22no—
321C4×C43—22no—
322C4×C43C2×C4×D411yescharacteristic
323C4×C43#52011yescharacteristic
324C4×C43D4×Q811yescharacteristic
325C4×C43#55411yescharacteristic
326Dic43—42no—
327Dic43—42no—
328Dic43—81no—
329Dic43—81no—
330Dic43—81no—
331Dic43—81no—
332Dic43—81no—
333Dic43—81no—
334C2×#435D4311yescharacteristic
335C2×#428—431no—
336C22×#106—431no—
337#2352—431no—
338D4×C4⋊C4—431no—
339#1949—431no—
340#1948—431no—
341#1854—431no—
342#1853—431no—
343#1853—431no—
344#1852—431no—
345#1847—431no—
346#1809—431no—
347#1808—431no—
348#1776—431no—
349C2×C43—24no—
350C2×C43—42no—
351C2×C43D4×C4⋊C411yescharacteristic
352C2×C43C2×#42811yescharacteristic
353C2×C43#291211yescharacteristic
354C2×C43#326511yescharacteristic
355C2×C43#326611yescharacteristic
356C2×C43#334411yescharacteristic
357C2×C43#334511yescharacteristic
358C22×M16C2×D4311yescharacteristic
359C23×C8C2×D4311yescharacteristic
360C2×C4×D4—861no—
361C2×C4×D4C2×D4311yescharacteristic
362C2×#117—431no—
363C22×C4⋊C4—431no—
364C22×C4⋊C4—431no—
365C22×C4⋊C4—431no—
366#435Dic4318yescomplemented
367#428—864no—
368C2×#107—431no—
369C2×#107—431no—
370C2×#107—431no—
371C2×#107—431no—
372C2×#106—431no—
373C2×#106—431no—
374C2×#106—431no—
375C2×#106—431no—
376C2×#106—431no—
377C2×#106—431no—
378C2×#106—864no—
379C2×C4⋊C8C2×D4311yescharacteristic
380C2×C22⋊C8C2×D4311yescharacteristic
381C2×C22⋊C8C2×D4311yescharacteristic
382C2×#97C2×D4311yescharacteristic
383#389—861no—
384#388—861no—
385#387—861no—
386#386—861no—
387#385—861no—
388#385—861no—
389#384—431no—
390#382—431no—
391#380—431no—
392#380—431no—
393#380—431no—
394#380—431no—
395C4×C4⋊C4—431no—
396C4×C4⋊C4—431no—
397C4×C22⋊C4—861no—
398#340—431no—
399#340—431no—
400#340—431no—
401#340—431no—
402#340—431no—
403#340—431no—
404C43#2265911yescharacteristic, complemented, Sylow
405C22×D4D17211yescharacteristic
406C23×C4—861no—
407C23×C4—861no—
408C23×C4—861no—
409C23×C4C22×D4311yescharacteristic
410C23×C4C22×D4311yescharacteristic
411C2×M16—22no—
412C2×M16—22no—
413C2×M16C2×Dic4314yescomplemented
414C22×C8—22no—
415C22×C8—22no—
416C22×C8C2×Dic4314yescomplemented
417C22×C8C22×D4311yescharacteristic
418C22×C8C22×D4311yescharacteristic
419C22×C8C22×D4311yescharacteristic
420C22×C8C22×D4311yescharacteristic
421C4×D4—1724no—
422C4×D4Dic8614yes—
423C4×D4C2×Dic4314yes—
424#117—862no—
425#117—1721no—
426C2×C4⋊C4—431no—
427C2×C4⋊C4—431no—
428C2×C4⋊C4—431no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—431no—
431C2×C4⋊C4—431no—
432C2×C4⋊C4—431no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—862no—
435C2×C4⋊C4—862no—
436C2×C4⋊C4—862no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—861no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4—1721no—
443C2×C4⋊C4—1721no—
444C2×C4⋊C4—1721no—
445C2×C4⋊C4D17211yescharacteristic
446C2×C22⋊C4—861no—
447C2×C22⋊C4—861no—
448C2×C22⋊C4—861no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4D17211yescharacteristic
452C2×C22⋊C4D17211yescharacteristic
453C2×C42—861no—
454C2×C42—861no—
455C2×C42—861no—
456C2×C42C22×D4311yescharacteristic
457#107—862no—
458#107—862no—
459#107—862no—
460#107—1721no—
461#106—434no—
462#106—862no—
463#106—862no—
464#106—862no—
465#106—862no—
466#106—1721no—
467C4⋊C8C2×Dic4314yescomplemented
468C22⋊C8C2×Dic4314yescomplemented
469C22⋊C8C2×Dic4314yescomplemented
470#97C2×Dic4314yescomplemented
471#95—861no—
472#95—861no—
473#95—861no—
474#95—861no—
475#95—861no—
476#95—861no—
477#95—861no—
478#95—861no—
479C24C2×D17211yescharacteristic
480C24C2×D17211yescharacteristic
481C2×D4—22no—
482C2×D4—22no—
483C2×D4C4⋊Dic4314yes—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—861no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4—861no—
497C22×C4—861no—
498C22×C4—861no—
499C22×C4—861no—
500C22×C4—3441no—
501C22×C4—3441no—
502C22×C4—3441no—
503C22×C4—1722no—
504C22×C4—1722no—
505C22×C4—1722no—
506C22×C4—1722no—
507C22×C4—1722no—
508C22×C4—1722no—
509C22×C4C2×Dic8612yes—
510C22×C4C2×Dic8612yes—
511C22×C4C2×D17211yescharacteristic
512C22×C4C2×D17211yescharacteristic
513C22×C4C2×D17211yescharacteristic
514C22×C4C2×D17211yescharacteristic
515C22×C4C22×Dic4312yes—
516C22×C4C22×Dic4312yes—
517C22×C4C23×D4311yescharacteristic
518M16—28no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—28no—
526C2×C8D4×D4312yes—
527C2×C8#1062190012yes—
528C2×C8C22×Dic4312yes—
529C2×C8C22×Dic4312yes—
530C2×C8C22×Dic4312yes—
531C2×C8C22×Dic4312yes—
532C4⋊C4—432no—
533C4⋊C4—432no—
534C4⋊C4—861no—
535C4⋊C4—861no—
536C4⋊C4—861no—
537C4⋊C4—861no—
538C4⋊C4—861no—
539C4⋊C4—861no—
540C4⋊C4—861no—
541C4⋊C4—861no—
542C4⋊C4—861no—
543C4⋊C4—861no—
544C4⋊C4—861no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4—861no—
548C4⋊C4—3441no—
549C4⋊C4—1722no—
550C4⋊C4—1722no—
551C4⋊C4—1722no—
552C4⋊C4—1722no—
553C4⋊C4C4⋊Dic4314yes—
554C22⋊C4—3441no—
555C22⋊C4—1722no—
556C22⋊C4—1722no—
557C22⋊C4—1722no—
558C22⋊C4—1722no—
559C22⋊C4C4⋊Dic4314yes—
560C22⋊C4C4⋊Dic4314yes—
561C42—3441no—
562C42—1722no—
563C42—1722no—
564C42C2×Dic8612yes—
565C42C22×Dic4312yes—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23C2×C4⋊Dic4312yes—
577C23C2×C4⋊Dic4312yes—
578C23#1306335312yes—
579C23#1306335812yes—
580C23C22×D17211yescharacteristic
581D4—28no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—862no—
599C2×C4—862no—
600C2×C4—3444no—
601C2×C4—3444no—
602C2×C4—3444no—
603C2×C4—1721no—
604C2×C4—1721no—
605C2×C4—1721no—
606C2×C4—1721no—
607C2×C4—1721no—
608C2×C4—1721no—
609C2×C4—1721no—
610C2×C4—1721no—
611C2×C4—1721no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4—1721no—
615C2×C4—1721no—
616C2×C4—1721no—
617C2×C4—1721no—
618C2×C4—1721no—
619C2×C4—1721no—
620C2×C4—1721no—
621C2×C4—1721no—
622C2×C4—1721no—
623C2×C4—1721no—
624C2×C4—1721no—
625C2×C4C2×C4⋊Dic4312yes—
626C2×C4C2×C4⋊Dic4312yes—
627C2×C4C2×C4⋊Dic4312yes—
628C2×C4C2×C4⋊Dic4312yes—
629C2×C4C23×Dic4311yescharacteristic
630C2×C4C2×D4×D4311yescharacteristic
631C2×C4C22×Dic8611yescharacteristic
632C2×C4C2×#1062190011yescharacteristic
633C2×C4#1306337111yescharacteristic
634C2×C4#1306337211yescharacteristic
635C8—22no—
636C8—22no—
637C8—22no—
638C8D4×Dic4314yescomplemented
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#1458294114yescomplemented
653C22C22×C4⋊Dic4311yescharacteristic
654C22D4×D17211yescharacteristic
655C22#1458355311yescharacteristic
656C22C2×#1306335311yescharacteristic
657C22C2×#1306335811yescharacteristic
658C22#1458371111yescharacteristic
659C22#1458371111yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—3441no—
665C4—3441no—
666C4—3441no—
667C4—3441no—
668C4—3441no—
669C4—3441no—
670C4—1722no—
671C4—1722no—
672C4C2×D4×Dic4311yescharacteristic
673C4#1458338211yescharacteristic
674C4D4×Dic8611yescharacteristic
675C4#1458360611yescharacteristic
676C2—24no—
677C2—42no—
678C2D4×C4⋊Dic4311yescharacteristic
679C2C2×#1458294111yescharacteristic
680C2#1914319011yescharacteristic
681C2#1914609511yescharacteristic
682C2#1914611011yescharacteristic
683C2#1914705211yescharacteristic
684C2#1914706711yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#435C2
socleC23×C43C22×D4
prime radicalC22×D4×C43D4
cosocleC22×C4×C43C24
hypercenterC2×#435D43
hypocenterC43#22659
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#14582941C2semidirect
2. C22×#13063257C2semidirect
5. #19135365C2semidirect
6. #19135359C2semidirect
7. #19134796C2semidirect
8. #19134790C2semidirect
9. #19134790C2semidirect
10. #19134785C2semidirect
11. #19134763C2semidirect
12. #19134628C2semidirect
13. #19134624C2semidirect
14. #19134492C2semidirect
57. C43×#435C4semidirect
104. #13063257D4semidirect
118. C2×M16×C43C2×C4semidirect
121. C22×C8×C43C2×C4semidirect
132. C4⋊C8×C43C2×C4semidirect
133. C22⋊C8×C43C2×C4semidirect
134. C22⋊C8×C43C2×C4semidirect
135. #97×C43C2×C4semidirect
295. C8×C43C4×D4semidirect
310. C22×C43#428semidirect
366. #435Dic43semidirect
404. C43#22659semidirect
413. C2×M16C2×Dic43semidirect
416. C22×C8C2×Dic43semidirect
467. C4⋊C8C2×Dic43semidirect
468. C22⋊C8C2×Dic43semidirect
469. C22⋊C8C2×Dic43semidirect
470. #97C2×Dic43semidirect
638. C8D4×Dic43semidirect
652. C22#14582941semidirect

Maximal subgroups

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

subgroupindex
C2×#145829412
C22×#130632572
#191375242
D4×C4⋊Dic432
#191353652
#191353592
#191347962
#191347902
#191347852
#191347632
#191346282
#191346242
#191344922
C2×C43×#4352
#2265943