Finite Group Databasebeta

← C23×#18128 #19165754

Subgroups — C23×#18128 #19165754

Order 5888.

1142 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#3459C211yesmaximal, characteristic, complemented
2C23×#3105C212yesmaximal, complemented
3C23×#2397C211yesmaximal, characteristic, complemented
4C23×#1618C212yesmaximal, complemented
5C23×#1614C211yesmaximal, characteristic, complemented
6C23×#1613C211yesmaximal, characteristic, complemented
7C23×#1600C212yesmaximal, complemented
8C23×#1596C211yesmaximal, characteristic, complemented
9C23×#1595C211yesmaximal, characteristic, complemented
10C23×#1500C212yesmaximal, complemented
11C23×#1460C211yesmaximal, characteristic, complemented
12C23×#543C2211yescharacteristic
13C23×#539—22no—
14C23×#539—21no—
15C23×#538—22no—
16C23×#538C2212yes—
17C23×#534—21no—
18C23×#534C2211yescharacteristic
19C23×#529—22no—
20C23×#529C2212yes—
21C23×#525—21no—
22C23×#525—22no—
23C2×C4×D4×C23—21no—
24C2×C4×D4×C23—21no—
25C2×C4×D4×C23—21no—
26C2×C4×D4×C23C2211yescharacteristic
27C2×C4×D4×C23C2211yescharacteristic, complemented
28C23×#484C2212yescomplemented
29C23×#481C2212yes—
30C23×#478—22no—
31C23×#463—22no—
32C23×#450C2212yescomplemented
33C23×#447C2212yes—
34C4×SD16×C23—22no—
35C4×D8×C23—22no—
36C23×#431C2212yescomplemented
37C23×#399—21no—
38C23×#399C2211yescharacteristic
39C23×#399C2211yescharacteristic, complemented
40C23×#392—21no—
41C23×#392C2211yescharacteristic
42C23×#392C2211yescharacteristic, complemented
43C23×#376C2211yescharacteristic, complemented
44C23×#328C2212yescomplemented
45C23×#328C2212yescomplemented
46C23×#327C2212yes—
47C23×#327C2212yes—
48C23×#323C2211yescharacteristic
49C23×#323C2211yescharacteristic
50C23×#323C2212yescomplemented
51C2×#41×C23—21no—
52C22×D4×C23—21no—
53C22×D4×C23—21no—
54C22×D4×C23—21no—
55C22×D4×C23D411yescharacteristic
56C22×D4×C23C2311yescharacteristic
57C23×C4×C23—21no—
58C23×C4×C23—21no—
59C23×C4×C23D411yescharacteristic
60C23×C4×C23D411yescharacteristic
61C2×SD16×C23—22no—
62C2×D8×C23—22no—
63C23×#126—22no—
64C23×#126—22no—
65C23×#126—22no—
66C23×#125—22no—
67C23×#125D412yescomplemented
68C23×#124—22no—
69C23×#124D412yescomplemented
70C23×#123—22no—
71C23×#123—22no—
72C23×#123—22no—
73C23×#123—22no—
74C23×#123—22no—
75C23×#123—22no—
76C23×C22⋊Q8—21no—
77C23×C22⋊Q8—22no—
78C23×C22⋊Q8—22no—
79C23×C22⋊Q8—21no—
80C23×C22⋊Q8—22no—
81C23×C22⋊Q8C2312yes—
82C23×#121—22no—
83C23×#121—21no—
84C23×#121—22no—
85C23×#121—22no—
86C23×#121—21no—
87C23×#121C2312yes—
88C23×#120—22no—
89C23×#120—22no—
90C23×#120—22no—
91C4×Q8×C23D412yescomplemented
92C4×D4×C23—22no—
93C4×D4×C23—22no—
94C4×D4×C23—22no—
95C4×D4×C23—22no—
96C4×D4×C23—22no—
97C4×D4×C23—22no—
98C4×D4×C23—22no—
99C4×D4×C23—22no—
100C4×D4×C23—22no—
101C4×D4×C23—44no—
102C4×D4×C23—44no—
103C4×D4×C23D412yescomplemented
104C23×#117—21no—
105C23×#117—22no—
106C2×C4⋊C4×C23—21no—
107C2×C4⋊C4×C23—21no—
108C2×C4⋊C4×C23—21no—
109C2×C4⋊C4×C23D411yescharacteristic
110C2×C4⋊C4×C23C2311yescharacteristic
111C2×C22⋊C4×C23—21no—
112C2×C22⋊C4×C23—21no—
113C2×C22⋊C4×C23—21no—
114C2×C22⋊C4×C23—21no—
115C2×C22⋊C4×C23—21no—
116C2×C22⋊C4×C23—21no—
117C2×C22⋊C4×C23—21no—
118C2×C22⋊C4×C23C2311yescharacteristic
119C2×C22⋊C4×C23C2311yescharacteristic
120C2×C42×C23—21no—
121C2×C42×C23—21no—
122C2×C42×C23C2311yescharacteristic
123C23×#107—22no—
124C23×#106—22no—
125C23×C4⋊C8—22no—
126C23×#103—22no—
127C23×#102—22no—
128C23×#102—22no—
129C23×#102—22no—
130C23×C22⋊C8C2312yes—
131C23×C22⋊C8C2312yes—
132C4×C8×C23—22no—
133C23×#95—21no—
134C23×#95C2311yescharacteristic
135C23×#95C2311yescharacteristic
136C24×C23—21no—
137C24×C23—21no—
138C24×C23C2×D411yescharacteristic
139C24×C23C2×D411yescharacteristic
140#41×C23—82no—
141C2×Q8×C23—21no—
142C2×Q8×C23C2×D412yes—
143C2×D4×C23—22no—
144C2×D4×C23—22no—
145C2×D4×C23—22no—
146C2×D4×C23—22no—
147C2×D4×C23—21no—
148C2×D4×C23—22no—
149C2×D4×C23—22no—
150C2×D4×C23—22no—
151C2×D4×C23—41no—
152C2×D4×C23—42no—
153C2×D4×C23—42no—
154C2×D4×C23—42no—
155C2×D4×C23—42no—
156C2×D4×C23—42no—
157C2×D4×C23—42no—
158C2×D4×C23—42no—
159C2×D4×C23—42no—
160C2×D4×C23—42no—
161C2×D4×C23C2×D412yes—
162C22×C4×C23—21no—
163C22×C4×C23—21no—
164C22×C4×C23—21no—
165C22×C4×C23—21no—
166C22×C4×C23—21no—
167C22×C4×C23—22no—
168C22×C4×C23—21no—
169C22×C4×C23—21no—
170C22×C4×C23—22no—
171C22×C4×C23—21no—
172C22×C4×C23—21no—
173C22×C4×C23—21no—
174C22×C4×C23—42no—
175C22×C4×C23—42no—
176C22×C4×C23—42no—
177C22×C4×C23—42no—
178C22×C4×C23—41no—
179C22×C4×C23—41no—
180C22×C4×C23—82no—
181C22×C4×C23C2×D411yescharacteristic
182C22×C4×C23C2×D411yescharacteristic
183C22×C4×C23C2×D411yescharacteristic
184C22×C4×C23C2×D411yescharacteristic
185C22×C4×C23C2411yescharacteristic
186SD16×C23—44no—
187D8×C23—44no—
188C2×C8×C23—22no—
189C2×C8×C23—22no—
190C4⋊C4×C23—22no—
191C4⋊C4×C23—21no—
192C4⋊C4×C23—21no—
193C4⋊C4×C23—22no—
194C4⋊C4×C23—22no—
195C4⋊C4×C23—22no—
196C4⋊C4×C23—22no—
197C4⋊C4×C23—22no—
198C4⋊C4×C23—22no—
199C4⋊C4×C23—22no—
200C4⋊C4×C23—42no—
201C4⋊C4×C23—42no—
202C4⋊C4×C23C2×D412yes—
203C4⋊C4×C23C2×D412yes—
204C22⋊C4×C23—22no—
205C22⋊C4×C23—22no—
206C22⋊C4×C23—22no—
207C22⋊C4×C23—22no—
208C22⋊C4×C23—22no—
209C22⋊C4×C23—22no—
210C22⋊C4×C23—22no—
211C22⋊C4×C23—22no—
212C22⋊C4×C23—22no—
213C22⋊C4×C23—22no—
214C22⋊C4×C23—22no—
215C22⋊C4×C23—22no—
216C22⋊C4×C23—42no—
217C22⋊C4×C23—42no—
218C22⋊C4×C23—42no—
219C22⋊C4×C23—42no—
220C22⋊C4×C23—42no—
221C42×C23—22no—
222C42×C23—24no—
223C42×C23—22no—
224C42×C23C2×D412yes—
225C42×C23C2×D412yes—
226#18128C2311yesmaximal, characteristic, direct product factor, Sylow
227C23×C23—21no—
228C23×C23—21no—
229C23×C23—22no—
230C23×C23—21no—
231C23×C23—22no—
232C23×C23—21no—
233C23×C23—21no—
234C23×C23—41no—
235C23×C23—41no—
236C23×C23—41no—
237C23×C23—41no—
238C23×C23—41no—
239C23×C23—41no—
240C23×C23—41no—
241C23×C23—42no—
242C23×C23—41no—
243C23×C23—41no—
244C23×C23—41no—
245C23×C23—81no—
246C23×C23—81no—
247C23×C23#13512yes—
248C23×C23C22×D411yescharacteristic
249Q8×C23—42no—
250Q8×C23—81no—
251D4×C23—24no—
252D4×C23—44no—
253D4×C23—42no—
254D4×C23—42no—
255D4×C23—44no—
256D4×C23—48no—
257D4×C23—48no—
258D4×C23—42no—
259D4×C23—42no—
260D4×C23—82no—
261D4×C23—81no—
262D4×C23—82no—
263C2×C4×C23—21no—
264C2×C4×C23—21no—
265C2×C4×C23—22no—
266C2×C4×C23—22no—
267C2×C4×C23—22no—
268C2×C4×C23—22no—
269C2×C4×C23—22no—
270C2×C4×C23—21no—
271C2×C4×C23—21no—
272C2×C4×C23—22no—
273C2×C4×C23—41no—
274C2×C4×C23—41no—
275C2×C4×C23—41no—
276C2×C4×C23—42no—
277C2×C4×C23—41no—
278C2×C4×C23—41no—
279C2×C4×C23—42no—
280C2×C4×C23—42no—
281C2×C4×C23—44no—
282C2×C4×C23—41no—
283C2×C4×C23—41no—
284C2×C4×C23—41no—
285C2×C4×C23—41no—
286C2×C4×C23—41no—
287C2×C4×C23—81no—
288C2×C4×C23—81no—
289C2×C4×C23—82no—
290C2×C4×C23—81no—
291C2×C4×C23—82no—
292C2×C4×C23—81no—
293C2×C4×C23—82no—
294C2×C4×C23#12012yes—
295C2×C4×C23#12011yescharacteristic
296C2×C4×C23#12011yescharacteristic
297C2×C4×C23C22×D412yes—
298C8×C23—42no—
299C8×C23—42no—
300#3459C2×C2311yescharacteristic, complemented
301#3105C2×C2312yescomplemented
302#2397C2×C2311yescharacteristic, complemented
303#1618C2×C2312yescomplemented
304#1614C2×C2311yescharacteristic, complemented
305#1613C2×C2311yescharacteristic, complemented
306#1600C2×C2312yescomplemented
307#1596C2×C2311yescharacteristic, complemented
308#1595C2×C2311yescharacteristic, complemented
309#1500C2×C2312yescomplemented
310#1460C2×C2311yescharacteristic, complemented
311C22×C23—21no—
312C22×C23—21no—
313C22×C23—22no—
314C22×C23—42no—
315C22×C23—42no—
316C22×C23—42no—
317C22×C23—42no—
318C22×C23—41no—
319C22×C23—41no—
320C22×C23—41no—
321C22×C23—42no—
322C22×C23—41no—
323C22×C23—42no—
324C22×C23—42no—
325C22×C23—42no—
326C22×C23—41no—
327C22×C23—81no—
328C22×C23—81no—
329C22×C23—81no—
330C22×C23—81no—
331C22×C23—84no—
332C22×C23—81no—
333C22×C23—81no—
334C22×C23C2×#12011yescharacteristic
335C22×C23C2×#13511yescharacteristic
336C22×C23#57511yescharacteristic
337C4×C23—22no—
338C4×C23—21no—
339C4×C23—22no—
340C4×C23—42no—
341C4×C23—42no—
342C4×C23—42no—
343C4×C23—41no—
344C4×C23—41no—
345C4×C23—42no—
346C4×C23—42no—
347C4×C23—81no—
348C4×C23#45312yes—
349#543C22×C2311yescharacteristic
350#539—22no—
351#539—21no—
352#538—22no—
353#538C22×C2312yes—
354#534—21no—
355#534C22×C2311yescharacteristic
356#529—22no—
357#529C22×C2312yes—
358#525—21no—
359#525—22no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4C22×C2311yescharacteristic
364C2×C4×D4C22×C2311yescharacteristic, complemented
365#484C22×C2312yescomplemented
366#481C22×C2312yes—
367#478—22no—
368#463—22no—
369#450C22×C2312yescomplemented
370#447C22×C2312yes—
371C4×SD16—22no—
372C4×D8—22no—
373#431C22×C2312yescomplemented
374#399—21no—
375#399C22×C2311yescharacteristic
376#399C22×C2311yescharacteristic, complemented
377#392—21no—
378#392C22×C2311yescharacteristic
379#392C22×C2311yescharacteristic, complemented
380#376C22×C2311yescharacteristic, complemented
381#328C22×C2312yescomplemented
382#328C22×C2312yescomplemented
383#327C22×C2312yes—
384#327C22×C2312yes—
385#323C22×C2311yescharacteristic
386#323C22×C2311yescharacteristic
387#323C22×C2312yescomplemented
388C2×C23—21no—
389C2×C23—21no—
390C2×C23—42no—
391C2×C23—81no—
392C2×C23—82no—
393C2×C23—82no—
394C2×C23#300211yescharacteristic
395C2×C23C2×#45311yescharacteristic
396C2×C23#302511yescharacteristic
397C2×#41—21no—
398C22×D4—21no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4D4×C2311yescharacteristic
402C22×D4C23×C2311yescharacteristic
403C23×C4—21no—
404C23×C4—21no—
405C23×C4D4×C2311yescharacteristic
406C23×C4D4×C2311yescharacteristic
407C2×SD16—22no—
408C2×D8—22no—
409#126—22no—
410#126—22no—
411#126—22no—
412#125—22no—
413#125D4×C2312yescomplemented
414#124—22no—
415#124D4×C2312yescomplemented
416#123—22no—
417#123—22no—
418#123—22no—
419#123—22no—
420#123—22no—
421#123—22no—
422C22⋊Q8—21no—
423C22⋊Q8—22no—
424C22⋊Q8—22no—
425C22⋊Q8—21no—
426C22⋊Q8—22no—
427C22⋊Q8C23×C2312yes—
428#121—22no—
429#121—21no—
430#121—22no—
431#121—22no—
432#121—21no—
433#121C23×C2312yes—
434#120—22no—
435#120—22no—
436#120—22no—
437C4×Q8D4×C2312yescomplemented
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—44no—
448C4×D4—44no—
449C4×D4D4×C2312yescomplemented
450#117—21no—
451#117—22no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4D4×C2311yescharacteristic
456C2×C4⋊C4C23×C2311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4C23×C2311yescharacteristic
465C2×C22⋊C4C23×C2311yescharacteristic
466C2×C42—21no—
467C2×C42—21no—
468C2×C42C23×C2311yescharacteristic
469#107—22no—
470#106—22no—
471C4⋊C8—22no—
472#103—22no—
473#102—22no—
474#102—22no—
475#102—22no—
476C22⋊C8C23×C2312yes—
477C22⋊C8C23×C2312yes—
478C4×C8—22no—
479#95—21no—
480#95C23×C2311yescharacteristic
481#95C23×C2311yescharacteristic
482C23#1812811yescharacteristic, direct product factor, Sylow
483C24—21no—
484C24—21no—
485C24C2×D4×C2311yescharacteristic
486C24C2×D4×C2311yescharacteristic
487#41—82no—
488C2×Q8—21no—
489C2×Q8C2×D4×C2312yes—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—21no—
495C2×D4—22no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—41no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4C2×D4×C2312yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—82no—
528C22×C4C2×D4×C2311yescharacteristic
529C22×C4C2×D4×C2311yescharacteristic
530C22×C4C2×D4×C2311yescharacteristic
531C22×C4C2×D4×C2311yescharacteristic
532C22×C4C24×C2311yescharacteristic
533SD16—44no—
534D8—44no—
535C2×C8—22no—
536C2×C8—22no—
537C4⋊C4—22no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4C2×D4×C2312yes—
550C4⋊C4C2×D4×C2312yes—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C42—22no—
569C42—24no—
570C42—22no—
571C42C2×D4×C2312yes—
572C42C2×D4×C2312yes—
573C23—21no—
574C23—21no—
575C23—22no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—21no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—42no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—81no—
592C23—81no—
593C23C23×#13512yes—
594C23C22×D4×C2311yescharacteristic
595Q8—42no—
596Q8—81no—
597D4—24no—
598D4—44no—
599D4—42no—
600D4—42no—
601D4—44no—
602D4—48no—
603D4—48no—
604D4—42no—
605D4—42no—
606D4—81no—
607D4—82no—
608D4—82no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—44no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—81no—
638C2×C4—81no—
639C2×C4—82no—
640C2×C4C23×#12012yes—
641C2×C4C23×#12011yescharacteristic
642C2×C4C23×#12011yescharacteristic
643C2×C4C22×D4×C2312yes—
644C8—42no—
645C8—42no—
646C22—21no—
647C22—21no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—42no—
657C22—41no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—41no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—84no—
667C22—81no—
668C22—81no—
669C22C2×C23×#12011yescharacteristic
670C22C2×C23×#13511yescharacteristic
671C22C23×#57511yescharacteristic
672C4—22no—
673C4—21no—
674C4—22no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—41no—
679C4—41no—
680C4—42no—
681C4—42no—
682C4—81no—
683C4C23×#45312yes—
684C2—21no—
685C2—21no—
686C2—42no—
687C2—81no—
688C2—82no—
689C2—82no—
690C2C23×#300211yescharacteristic
691C2C2×C23×#45311yescharacteristic
692C2C23×#302511yescharacteristic
subgroupG/H
centerC2×C4×C23#120
commutator, Frattini, cosocleC22×C4C24×C23
socleC22×C23C2×#120
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C23 ◁ C2×C42×C23 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×#3459C2semidirect
2. C23×#3105C2semidirect
3. C23×#2397C2semidirect
4. C23×#1618C2semidirect
5. C23×#1614C2semidirect
6. C23×#1613C2semidirect
7. C23×#1600C2semidirect
8. C23×#1596C2semidirect
9. C23×#1595C2semidirect
10. C23×#1500C2semidirect
11. C23×#1460C2semidirect
27. C2×C4×D4×C23C22semidirect
28. C23×#484C22semidirect
32. C23×#450C22semidirect
36. C23×#431C22semidirect
39. C23×#399C22semidirect
42. C23×#392C22semidirect
43. C23×#376C22semidirect
44. C23×#328C22semidirect
45. C23×#328C22semidirect
50. C23×#323C22semidirect
67. C23×#125D4semidirect
69. C23×#124D4semidirect
91. C4×Q8×C23D4semidirect
103. C4×D4×C23D4semidirect
226. #18128C23direct (N × H)
300. #3459C2×C23semidirect
301. #3105C2×C23semidirect
302. #2397C2×C23semidirect
303. #1618C2×C23semidirect
304. #1614C2×C23semidirect
305. #1613C2×C23semidirect
306. #1600C2×C23semidirect
307. #1596C2×C23semidirect
308. #1595C2×C23semidirect
309. #1500C2×C23semidirect
310. #1460C2×C23semidirect
364. C2×C4×D4C22×C23semidirect
365. #484C22×C23semidirect
369. #450C22×C23semidirect
373. #431C22×C23semidirect
376. #399C22×C23semidirect
379. #392C22×C23semidirect
380. #376C22×C23semidirect
381. #328C22×C23semidirect
382. #328C22×C23semidirect
387. #323C22×C23semidirect
413. #125D4×C23semidirect
415. #124D4×C23semidirect
437. C4×Q8D4×C23semidirect
449. C4×D4D4×C23semidirect
482. C23#18128direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#34592
C23×#31052
C23×#23972
C23×#16182
C23×#16142
C23×#16132
C23×#16002
C23×#15962
C23×#15952
C23×#15002
C23×#14602
#1812823