Finite Group Databasebeta

← #25112928

Subgroups — #25112928

Order 11008.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583620C211yesmaximal, characteristic
2C2×#14582967C211yesmaximal, characteristic
3#19137525C211yesmaximal, characteristic
4#19135566C211yesmaximal, characteristic, complemented
5#19135541C211yesmaximal, characteristic, complemented
6#19135025C211yesmaximal, characteristic, complemented
7#19135019C211yesmaximal, characteristic, complemented
8#19134899C211yesmaximal, characteristic, complemented
9#19134691C211yesmaximal, characteristic, complemented
10#19134689C211yesmaximal, characteristic, complemented
11#19134608C211yesmaximal, characteristic, complemented
12#19134427C211yesmaximal, characteristic, complemented
13#19134313C211yesmaximal, characteristic, complemented
14#19134311C211yesmaximal, characteristic, complemented
15C43×#1873C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C23×C43⋊C8C2211yescharacteristic
18#14583620—24no—
19#14583620C418yescomplemented
20C2×#13063324C2211yescharacteristic
21C2×#13063320—21no—
22C2×#13063318—21no—
23C2×#13063311—21no—
24C2×#13063301C2211yescharacteristic
25C2×Q8×Dic43C2211yescharacteristic
26C2×#13063290—21no—
27C2×C4×C22⋊D43C2211yescharacteristic
28C2×#13063284C2211yescharacteristic
29C2×#13063283C2211yescharacteristic
30C2×C4⋊C4×D43C2211yescharacteristic
31#14582967—24no—
32C2×Dic43⋊C8C2211yescharacteristic
33C2×#13063249C2211yescharacteristic
34C2×#13063249C2211yescharacteristic
35C2×(C2×D43)⋊C8C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37#14582793—21no—
38#14582783—21no—
39#14582775—21no—
40#14582764C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582756C2211yescharacteristic
43C4⋊C4×Dic43C2211yescharacteristic
44C4×(C2×D43)⋊C4—21no—
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C22⋊Q8×C43C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86—21no—
63C22×C22⋊D43D411yescharacteristic
64C22×C4×D43—21no—
65C22×C4×D43C2311yescharacteristic
66C2×#10621872—22no—
67C2×#10621872—22no—
68C2×#10621872—41no—
69C22×C43⋊C8—22no—
70C22×C43⋊C8—22no—
71C22×C43⋊C8—41no—
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74#13063324—22no—
75#13063324C2×C414yescomplemented
76#13063320—28no—
77#13063318—28no—
78#13063311—28no—
79#13063301—22no—
80#13063301C2×C414yes—
81Q8×Dic43—22no—
82Q8×Dic43C2×C414yescomplemented
83#13063290—28no—
84C4×C22⋊D43C2×C414yes—
85C4×C22⋊D43D414yes—
86#13063284—22no—
87#13063284C2×C414yescomplemented
88#13063283—22no—
89#13063283C2×C414yes—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4D411yescharacteristic
99C4⋊C4×D43—22no—
100C4⋊C4×D43—41no—
101C2×C22⋊Dic43—21no—
102C2×C22⋊Dic43—21no—
103C2×C22⋊Dic43D411yescharacteristic
104C2×(C2×D43)⋊C4—21no—
105C2×(C2×D43)⋊C4—21no—
106C2×(C2×D43)⋊C4—21no—
107C2×(C2×D43)⋊C4D411yescharacteristic
108C2×C4×Dic43—21no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43—21no—
111C2×C4×Dic43—21no—
112C2×C4×Dic43C2311yescharacteristic
113Dic43⋊C8—22no—
114#13063249—22no—
115#13063249—41no—
116(C2×D43)⋊C8—22no—
117#13063235—22no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C22×Q8×C43C2311yescharacteristic
124C23×C4×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22⋊Q8×C43—22no—
128C22⋊Q8×C43C2×C414yescomplemented
129#117×C43—22no—
130#117×C43—41no—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C22⋊C4×C43—21no—
136C2×C22⋊C4×C43—21no—
137C2×C42×C43—21no—
138#103×C43—22no—
139#103×C43—41no—
140C22⋊C8×C43—22no—
141C24×C43C2×D411yescharacteristic
142C23×D43C2×D411yescharacteristic
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43C22×C412yes—
149C22×C4×C43—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×C43—21no—
157C22×C4×C43C22×C412yes—
158C22×C4×C43C2×D412yes—
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C2×C22⋊D43—41no—
162C2×C22⋊D43—41no—
163C2×C22⋊D43C22⋊C414yes—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C2×C4×D43—21no—
172C2×C4×D43—21no—
173C2×C4×D43—21no—
174C2×C4×D43—21no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43—81no—
178C2×C4×D43C22×C412yes—
179C2×C4×D43C2×D412yes—
180C2×Dic86—24no—
181C2×Dic86—42no—
182C2×Dic86—42no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C4⋊C4×C43—24no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43C22×C412yes—
195C4⋊C4×C43#4112yes—
196C22⋊C4×C43—24no—
197C22⋊C4×C43—42no—
198C42×C43—42no—
199C22⋊Dic43—24no—
200C22⋊Dic43—81no—
201C22⋊Dic43C22⋊C414yes—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4C22⋊C414yes—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—24no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43C22×C412yes—
214C4⋊Dic43C22×C412yes—
215Dic43⋊C4—24no—
216Dic43⋊C4—24no—
217Dic43⋊C4—42no—
218Dic43⋊C4C22⋊C414yes—
219C4×Dic43—24no—
220C4×Dic43—24no—
221C4×Dic43—24no—
222C4×Dic43—81no—
223C4×Dic43C22×C412yes—
224C4×Dic43C2×D412yes—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—44no—
231C2×C43⋊C8#4112yes—
232#10621872—44no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43C2×C22⋊C412yes—
240C23×C43C22×D411yescharacteristic
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43C2×C22⋊C412yes—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—41no—
251Q8×C43—41no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43C2×C22⋊C412yes—
271C2×C4×C43C23×C411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C432−1+411yescharacteristic
277C22⋊D43—44no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—41no—
287C2×Dic43—41no—
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—
299C4×D43—22no—
300C4×D43—22no—
301C4×D43—22no—
302C4×D43—22no—
303C4×D43—84no—
304Dic86—48no—
305C8×C43—41no—
306C8×C43—41no—
307C43⋊C8—22no—
308C43⋊C8—41no—
309#22494—431nomaximal, Sylow
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43C22×C22⋊C411yescharacteristic
318C22×C43#54611yescharacteristic
319C22×C43#54711yescharacteristic
320C22×C43#57511yescharacteristic
321C22×C43#57511yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57811yescharacteristic
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—22no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—41no—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43—81no—
336C4×C43C4×#4111yescharacteristic
337C4×C43#52011yescharacteristic
338C4×C43#54611yescharacteristic
339C4×C43#54711yescharacteristic
340Dic43—22no—
341Dic43—22no—
342Dic43—22no—
343Dic43—42no—
344Dic43—42no—
345Dic43—81no—
346Dic43—81no—
347C2×#556—431no—
348C2×#435—431no—
349#2352—431no—
350#1993—431no—
351#1987—431no—
352#1894—431no—
353#1892—431no—
354#1873D4311yescharacteristic, complemented
355#1872—431no—
356#1825—431no—
357#1825—431no—
358#1805—431no—
359#1763—431no—
360#1736—431no—
361#1735—431no—
362C2×C43—42no—
363C2×C43#233911yescharacteristic
364C2×C43#289611yescharacteristic
365C2×C43#289811yescharacteristic
366C2×C43#331111yescharacteristic
367C2×C43#331311yescharacteristic
368C2×C43#334911yescharacteristic
369C2×C43#335011yescharacteristic
370D43—42no—
371C22×M16—431no—
372C23×C8—431no—
373#556—438no—
374#556—864no—
375C2×C4⋊Q8—431no—
376C2×#126—861no—
377C2×#126—861no—
378C2×#124—861no—
379C2×C22⋊Q8—431no—
380C2×C22⋊Q8C2×D4311yescharacteristic
381C2×C4×Q8—431no—
382C2×C4×Q8—861no—
383C2×C4×D4—431no—
384C2×#117—431no—
385C2×#117—431no—
386C2×#117C2×D4311yescharacteristic
387C22×C4⋊C4—431no—
388#435—864no—
389C2×C4⋊C8—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103C2×D4311yescharacteristic
393C2×#103C2×D4311yescharacteristic
394C2×C22⋊C8—431no—
395C2×C22⋊C8C2×D4311yescharacteristic
396C2×#97—431no—
397#388—861no—
398#387—861no—
399#386—861no—
400#382—431no—
401#380—431no—
402#380—431no—
403C4×C4⋊C4—431no—
404C4×C22⋊C4—861no—
405#340—431no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340C2×D4311yescharacteristic
416#340C2×D4311yescharacteristic
417C43#2249411yescharacteristic, complemented, Sylow
418C22×Q8—861no—
419C22×Q8C22×D4311yescharacteristic
420C22×D4—431no—
421C23×C4—431no—
422C23×C4—861no—
423C23×C4C22×D4311yescharacteristic
424C2×M16—862no—
425C2×M16—862no—
426C2×M16—1721no—
427C22×C8—431no—
428C22×C8—431no—
429C22×C8—862no—
430C22×C8—862no—
431C22×C8—1721no—
432C22×C8C22×D4311yescharacteristic
433C22×C8C22×D4311yescharacteristic
434C4⋊Q8—434no—
435C4⋊Q8—862no—
436#126—868no—
437#126—868no—
438#124—868no—
439C22⋊Q8—22no—
440C22⋊Q8—434no—
441C22⋊Q8—862no—
442C22⋊Q8C4×D4314yescomplemented
443C4×Q8—434no—
444C4×Q8—862no—
445C4×Q8—868no—
446C4×D4—434no—
447C4×D4—434no—
448#117—22no—
449#117—41no—
450#117—434no—
451#117—434no—
452#117—862no—
453#117—862no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—862no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—1721no—
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—431no—
472C2×C22⋊C4—431no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C42—21no—
479C2×C42—431no—
480C2×C42—861no—
481C2×C42—861no—
482C2×C42—861no—
483C2×C42—861no—
484C4⋊C8—862no—
485#103—22no—
486#103—41no—
487#103—862no—
488#103—1721no—
489C22⋊C8—22no—
490C22⋊C8—862no—
491#97—862no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497C24—431no—
498C24D4×D4311yescharacteristic
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—864no—
505C2×Q8—1722no—
506C2×Q8—1722no—
507C2×Q8C2×C4×D4312yes—
508C2×D4—434no—
509C2×D4—1721no—
510C2×D4—1721no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—431no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—432no—
523C22×C4—432no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—3441no—
533C22×C4—1722no—
534C22×C4—1722no—
535C22×C4C2×C4×D4312yes—
536C22×C4D4×D4311yescharacteristic
537C22×C4D4×D4312yes—
538C22×C4C23×D4311yescharacteristic
539M16—1724no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—432no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—1724no—
553C4⋊C4—24no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—434no—
559C4⋊C4—432no—
560C4⋊C4—432no—
561C4⋊C4—864no—
562C4⋊C4—864no—
563C4⋊C4—864no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—1722no—
571C4⋊C4C2×C4×D4312yes—
572C4⋊C4#1062190012yes—
573C22⋊C4—24no—
574C22⋊C4—42no—
575C22⋊C4—434no—
576C22⋊C4—434no—
577C22⋊C4—864no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—3441no—
581C22⋊C4—1722no—
582C42—42no—
583C42—432no—
584C42—432no—
585C42—864no—
586C42—864no—
587C42—864no—
588C42—3441no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—432no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23—861no—
600C23—861no—
601C23—861no—
602C23C22⋊C4×D4312yes—
603C23C2×D4×D4311yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—1728no—
609D4—1724no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—432no—
629C2×C4—432no—
630C2×C4—432no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—3444no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4C22⋊C4×D4312yes—
655C2×C4C22×C4×D4311yescharacteristic
656C2×C4C2×D4×D4311yescharacteristic
657C2×C4#41×D4311yescharacteristic
658C2×C4C2×#1062190011yescharacteristic
659C2×C4#1306337011yescharacteristic
660C2×C4#1306337211yescharacteristic
661C8—41no—
662C8—41no—
663C8—862no—
664C8—1721no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—862no—
673C22—862no—
674C22—862no—
675C22—1721no—
676C22—1721no—
677C22—1721no—
678C22—1721no—
679C22C2×C22⋊C4×D4311yescharacteristic
680C22#1458353611yescharacteristic
681C22#1458354711yescharacteristic
682C22#1458369611yescharacteristic
683C22#1458369611yescharacteristic
684C22#1458370811yescharacteristic
685C22#1458371511yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—862no—
692C4—862no—
693C4—862no—
694C4—3441no—
695C4—3441no—
696C4—1722no—
697C4—1722no—
698C4C4×#1062190011yescharacteristic
699C4#1458337811yescharacteristic
700C4#1458353811yescharacteristic
701C4#1458354911yescharacteristic
702C2—42no—
703C2—1722no—
704C2#1913742111yescharacteristic
705C2#1914311011yescharacteristic
706C2#1914312711yescharacteristic
707C2#1914663511yescharacteristic
708C2#1914666511yescharacteristic
709C2#1914712911yescharacteristic
710C2#1914713811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1873C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
cosocleC22×C4×C43C24
hypercenter#1873D43
hypocenterC43#22494
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1873

Complements

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

NH ≅ G/Ntype
4. #19135566C2semidirect
5. #19135541C2semidirect
6. #19135025C2semidirect
7. #19135019C2semidirect
8. #19134899C2semidirect
9. #19134691C2semidirect
10. #19134689C2semidirect
11. #19134608C2semidirect
12. #19134427C2semidirect
13. #19134313C2semidirect
14. #19134311C2semidirect
15. C43×#1873C2semidirect
19. #14583620C4semidirect
75. #13063324C2×C4semidirect
82. Q8×Dic43C2×C4semidirect
87. #13063284C2×C4semidirect
128. C22⋊Q8×C43C2×C4semidirect
354. #1873D43semidirect
417. C43#22494semidirect
442. C22⋊Q8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145836202
C2×#145829672
#191375252
#191355662
#191355412
#191350252
#191350192
#191348992
#191346912
#191346892
#191346082
#191344272
#191343132
#191343112
C43×#18732
#2249443