Finite Group Databasebeta

← #25116956

Subgroups — #25116956

Order 11008.

1090 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583059C211yesmaximal, characteristic
2C2×#14583003C211yesmaximal, characteristic, complemented
3C2×#14582896C211yesmaximal, characteristic
4#19137626C211yesmaximal, characteristic, complemented
5#19137432C211yesmaximal, characteristic
6#19135473C211yesmaximal, characteristic, complemented
7#19135293C211yesmaximal, characteristic, complemented
8#19135220C211yesmaximal, characteristic, complemented
9#19134948C211yesmaximal, characteristic, complemented
10#19134933C211yesmaximal, characteristic, complemented
11#19134850C211yesmaximal, characteristic, complemented
12#19134792C211yesmaximal, characteristic, complemented
13#19134424C211yesmaximal, characteristic, complemented
14#19134371C211yesmaximal, characteristic, complemented
15C43×#1892C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C22×#10621884C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C2×#13063290C2211yescharacteristic
21C2×#13063290C2211yescharacteristic
22C2×#13063284C2211yescharacteristic
23#14583059C418yescomplemented
24#14583003—24no—
25C2×#13063258C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27#14582896—24no—
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063248C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37#14582806C2211yescharacteristic
38#14582800C2211yescharacteristic
39#14582800C2211yescharacteristic
40#14582799—21no—
41#14582799—21no—
42#14582798C2211yescharacteristic
43#14582792—21no—
44#14582792—21no—
45#14582785—21no—
46#14582758—21no—
47C4⋊C4×Dic43—21no—
48C4⋊C4×Dic43C2211yescharacteristic
49C4×C22⋊Dic43C2211yescharacteristic
50#14582746—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C23×C8×C43C2211yescharacteristic
56C2×C22⋊Q8×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C2×#10621898—22no—
63C2×#10621898—22no—
64C2×#10621898—22no—
65C2×#10621898—41no—
66C2×#10621898—41no—
67C2×#10621898C2×C414yes—
68C22×Dic86C2311yescharacteristic
69C22×D172C2311yescharacteristic
70C22×C22⋊D43—21no—
71C22×C4×D43—21no—
72C2×#10621885—22no—
73C2×#10621885—22no—
74C2×#10621885C2×C414yes—
75C2×#10621884—41no—
76C2×#10621884—41no—
77C2×#10621884C2×C414yes—
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80Q8×Dic43—22no—
81Q8×Dic43—41no—
82#13063290—22no—
83#13063290—22no—
84#13063290—41no—
85#13063290—41no—
86#13063284—22no—
87#13063284—41no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43D411yescharacteristic
96C2×C22⋊Dic43D411yescharacteristic
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43C2311yescharacteristic
107C2×C4×Dic43C2311yescharacteristic
108#13063258—41no—
109#13063256—22no—
110#13063250—22no—
111#13063250D414yes—
112#13063248C2×C414yes—
113#13063247—22no—
114#13063247—22no—
115#13063245C2×C414yes—
116C22⋊(C43⋊C8)C2×C414yes—
117#13063235—22no—
118#13063235—41no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95D411yescharacteristic
124C43⋊#95D411yescharacteristic
125C22×Q8×C43C2311yescharacteristic
126C23×C4×C43C2311yescharacteristic
127C22×C8×C43—22no—
128C22×C8×C43—22no—
129C22×C8×C43—41no—
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C22⋊Q8×C43—22no—
133C22⋊Q8×C43C2×C414yes—
134C2×C4⋊C4×C43—21no—
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C4⋊C4×C43C2311yescharacteristic
138C2×C22⋊C4×C43—21no—
139C2×C22⋊C4×C43—21no—
140#103×C43—22no—
141#103×C43—41no—
142#95×C43—21no—
143C24×C43C2×D411yescharacteristic
144C23×D43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43C22×C412yes—
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×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43C22×C412yes—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43#4112yes—
162C22×C4×C43C2411yescharacteristic
163C2×C22⋊D43—24no—
164C2×C22⋊D43—42no—
165C2×C22⋊D43—42no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173#10621898—28no—
174#10621898—44no—
175#10621898—44no—
176#10621898—44no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172—21no—
180C2×D172—21no—
181C2×D172—21no—
182C2×D172C22×C412yes—
183C2×C4×D43—24no—
184C2×C4×D43—42no—
185C2×C4×D43—42no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86C22×C412yes—
190C2×Dic86C2×D412yes—
191C2×Dic86#4112yes—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—44no—
198C2×C8×C43C2×D412yes—
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×C43C22×C412yes—
206C22⋊C4×C43—24no—
207C22⋊C4×C43—81no—
208C22⋊Dic43—41no—
209C22⋊Dic43—41no—
210C22⋊Dic43—42no—
211#10621885—28no—
212#10621884—44no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—81no—
216(C2×D43)⋊C4—81no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—42no—
221C4⋊Dic43—42no—
222C4⋊Dic43C2×D412yes—
223Dic43⋊C4—42no—
224Dic43⋊C4—42no—
225C4×Dic43—21no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C4×Dic43—21no—
229C4×Dic43—42no—
230C4×Dic43—42no—
231C4×Dic43—42no—
232C4×Dic43—42no—
233C4×Dic43—42no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8C22×C412yes—
239C2×C43⋊C8C22×C412yes—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43C4×D412yes—
247C23×C43C22×D411yescharacteristic
248C22×D43—22no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255Q8×C43—22no—
256Q8×C43—22no—
257Q8×C43—41no—
258Q8×C43—41no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
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×C43—41no—
277C2×C4×C43C4×D412yes—
278C2×C4×C43C23×C411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C22⋊D43—48no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—21no—
289C2×Dic43—21no—
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—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
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—48no—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86C4×D414yes—
315C8×C43—22no—
316C8×C43—41no—
317C43⋊C8—22no—
318C43⋊C8—22no—
319#22861—431nomaximal, Sylow
320C22×C43—22no—
321C22×C43—22no—
322C22×C43—22no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—41no—
327C22×C43C2×C4×D411yescharacteristic
328C22×C43D4211yescharacteristic
329C22×C43#54611yescharacteristic
330C22×C43#57511yescharacteristic
331C22×C43#57511yescharacteristic
332C22×C43#57711yescharacteristic
333C22×C43#57811yescharacteristic
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—81no—
338C2×D43—81no—
339C2×D43—81no—
340C2×D43—81no—
341C4×C43—22no—
342C4×C43—42no—
343C4×C43—42no—
344C4×C43—81no—
345C4×C43—81no—
346C4×C43C2×C4×D411yescharacteristic
347C4×C43#51811yescharacteristic
348C4×C43#54611yescharacteristic
349C4×C43#55111yescharacteristic
350Dic43—24no—
351Dic43—41no—
352Dic43—42no—
353Dic43—41no—
354Dic43—41no—
355Dic43—41no—
356Dic43—81no—
357C2×#452—431no—
358C2×#441—431no—
359C2×#416—431no—
360#2362—431no—
361#2341—431no—
362#1973—431no—
363#1936—431no—
364#1926—431no—
365#1892D4311yescharacteristic, complemented
366#1880—431no—
367#1878—431no—
368#1863—431no—
369#1854—431no—
370#1763—431no—
371#1752—431no—
372C2×C43—42no—
373C2×C43#235811yescharacteristic
374C2×C43#294311yescharacteristic
375C2×C43#294711yescharacteristic
376C2×C43#326911yescharacteristic
377C2×C43#327111yescharacteristic
378C2×C43#331311yescharacteristic
379C2×C43#331711yescharacteristic
380D43—82no—
381C22×#41—431no—
382C22×Q16—431no—
383C22×SD16—431no—
384C23×C8C2×D4311yescharacteristic
385C2×C22⋊Q8C2×D4311yescharacteristic
386C2×C4×Q8—431no—
387C2×C4×Q8—431no—
388C2×C4×Q8—431no—
389C2×#117—431no—
390#452—438no—
391#441—864no—
392C2×#107—431no—
393C2×#106—431no—
394#416—864no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103C2×D4311yescharacteristic
399C2×#103C2×D4311yescharacteristic
400C2×#102—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×C22⋊C8—431no—
404C2×#97—431no—
405C2×#97—431no—
406#391—431no—
407#390—431no—
408#390—431no—
409#390—861no—
410#390—861no—
411#389—431no—
412#388—861no—
413#388—861no—
414#387—861no—
415#380—861no—
416#380C2×D4311yescharacteristic
417C4×C4⋊C4—431no—
418C4×C4⋊C4—861no—
419C4×C22⋊C4—431no—
420C4×C22⋊C4—861no—
421#340—431no—
422#340—431no—
423#340C2×D4311yescharacteristic
424#340C2×D4311yescharacteristic
425#336—431no—
426#336—431no—
427C43#2286111yescharacteristic, complemented, Sylow
428C2×#41—434no—
429C2×#41—862no—
430C2×#41—862no—
431C2×#41—862no—
432C2×#41—1721no—
433C2×#41—1721no—
434C22×Q8—431no—
435C22×Q8C22×D4311yescharacteristic
436C22×D4—431no—
437C22×D4—861no—
438C23×C4—861no—
439C23×C4C22×D4311yescharacteristic
440C2×Q16—434no—
441C2×Q16—862no—
442C2×Q16—862no—
443C2×SD16—434no—
444C2×SD16—1721no—
445C2×SD16—1721no—
446C22×C8—22no—
447C22×C8—22no—
448C22×C8—41no—
449C22×C8—431no—
450C22×C8—431no—
451C22×C8C22×D4311yescharacteristic
452C22×C8C22×D4311yescharacteristic
453C22⋊Q8—22no—
454C22⋊Q8C4×D4314yes—
455C4×Q8—862no—
456C4×Q8—862no—
457C4×Q8—862no—
458C4×Q8—1721no—
459C4×Q8—1721no—
460C4×Q8—1721no—
461#117—862no—
462#117—1721no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—431no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4C22×D4311yescharacteristic
471C2×C4⋊C4C22×D4311yescharacteristic
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—431no—
476C2×C22⋊C4—431no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C42—431no—
483C2×C42—431no—
484C2×C42—861no—
485C2×C42—861no—
486C2×C42—861no—
487C2×C42—861no—
488C2×C42—861no—
489#107—1721no—
490#106—862no—
491#103—22no—
492#103—41no—
493#103—434no—
494#103—434no—
495#103—862no—
496#102—434no—
497#102—862no—
498#102—862no—
499C22⋊C8—434no—
500#97—862no—
501#97—1721no—
502#95—21no—
503#95—431no—
504#95—431no—
505#95—861no—
506#95—861no—
507#95—861no—
508#95—861no—
509C24—861no—
510C24D4×D4311yescharacteristic
511#41—868no—
512#41—1724no—
513#41—1724no—
514#41—1724no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—432no—
521C2×Q8—432no—
522C2×Q8—432no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8C2×C4×D4312yes—
527C2×D4—432no—
528C2×D4—864no—
529C2×D4—861no—
530C2×D4—861no—
531C2×D4—861no—
532C2×D4—861no—
533C2×D4—861no—
534C2×D4—1722no—
535C2×D4—1722no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—431no—
547C22×C4—431no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—864no—
551C22×C4—861no—
552C22×C4—1722no—
553C22×C4—1722no—
554C22×C4C2×C4×D4312yes—
555C22×C4D4×D4311yescharacteristic
556C22×C4#1062190012yes—
557C22×C4C23×D4311yescharacteristic
558Q16—868no—
559SD16—1724no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—44no—
566C2×C8—432no—
567C2×C8—432no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—861no—
571C2×C8—861no—
572C2×C8D4×D4312yes—
573C4⋊C4—24no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—432no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—1722no—
584C4⋊C4—1722no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4C2×C4×D4312yes—
588C22⋊C4—24no—
589C22⋊C4—81no—
590C22⋊C4—3441no—
591C22⋊C4—3441no—
592C22⋊C4—1722no—
593C22⋊C4—1722no—
594C22⋊C4—1721no—
595C22⋊C4—1721no—
596C22⋊C4—1722no—
597C42—861no—
598C42—861no—
599C42—861no—
600C42—861no—
601C42—1722no—
602C42—1722no—
603C42—1722no—
604C42—1722no—
605C42—1722no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—862no—
613C23—1721no—
614C23—1721no—
615C23—1721no—
616C23—1721no—
617C23—1721no—
618C23—1721no—
619C23(C22⋊D43)⋊C412yes—
620C23C2×D4×D4311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—41no—
624Q8—41no—
625Q8—434no—
626Q8—862no—
627Q8—862no—
628Q8—862no—
629D4—862no—
630D4—862no—
631D4—1728no—
632D4—1721no—
633D4—1721no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—862no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—1728no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4(C22⋊D43)⋊C412yes—
675C2×C4C22×C4×D4311yescharacteristic
676C2×C4C2×D4×D4311yescharacteristic
677C2×C4#41×D4311yescharacteristic
678C2×C4C2×#1062190011yescharacteristic
679C2×C4#1306337011yescharacteristic
680C2×C4#1306337111yescharacteristic
681C8—22no—
682C8—41no—
683C8—862no—
684C8—862no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—3441no—
693C22—3441no—
694C22—3441no—
695C22—3441no—
696C22—1722no—
697C22—1722no—
698C22—1722no—
699C22C2×(C22⋊D43)⋊C411yescharacteristic
700C22#1458353311yescharacteristic
701C22#1458353811yescharacteristic
702C22#1458369611yescharacteristic
703C22#1458369611yescharacteristic
704C22#1458370511yescharacteristic
705C22#1458371211yescharacteristic
706C4—22no—
707C4—42no—
708C4—42no—
709C4—81no—
710C4—81no—
711C4—864no—
712C4—3441no—
713C4—1721no—
714C4—1722no—
715C4—1721no—
716C4—1721no—
717C4—1721no—
718C4C4×D4×D4311yescharacteristic
719C4#1458337111yescharacteristic
720C4#1458353611yescharacteristic
721C4#1458357211yescharacteristic
722C2—42no—
723C2—3442no—
724C2#1913757511yescharacteristic
725C2#1914339111yescharacteristic
726C2#1914343211yescharacteristic
727C2#1914614711yescharacteristic
728C2#1914617711yescharacteristic
729C2#1914666711yescharacteristic
730C2#1914672711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1892C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#1892D43
hypocenterC43#22861
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1892

Complements

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

NH ≅ G/Ntype
2. C2×#14583003C2semidirect
4. #19137626C2semidirect
6. #19135473C2semidirect
7. #19135293C2semidirect
8. #19135220C2semidirect
9. #19134948C2semidirect
10. #19134933C2semidirect
11. #19134850C2semidirect
12. #19134792C2semidirect
13. #19134424C2semidirect
14. #19134371C2semidirect
15. C43×#1892C2semidirect
23. #14583059C4semidirect
365. #1892D43semidirect
427. C43#22861semidirect

Maximal subgroups

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

subgroupindex
C2×#145830592
C2×#145830032
C2×#145828962
#191376262
#191374322
#191354732
#191352932
#191352202
#191349482
#191349332
#191348502
#191347922
#191344242
#191343712
C43×#18922
#2286143