Finite Group Databasebeta

← C23×#13972 #19161598

Subgroups — C23×#13972 #19161598

Order 5888.

1918 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C23×#385C211yesmaximal, characteristic
2C2×C23×#381C211yesmaximal, characteristic
3C2×C23×#381C211yesmaximal, characteristic
4C2×C4×C22⋊C4×C23C211yesmaximal, characteristic
5C22×C23×#95C211yesmaximal, characteristic
6C23×#1443C212yesmaximal, complemented
7C23×#1442C212yesmaximal, complemented
8C23×#1436C212yesmaximal, complemented
9C23×#1434C212yesmaximal, complemented
10C23×C22⋊#95C211yesmaximal, characteristic
11C23×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C23C2211yescharacteristic
13C24×C4×C23C2211yescharacteristic
14C24×C4×C23C2211yescharacteristic
15C22×C4⋊C4×C23C2211yescharacteristic
16C22×C4⋊C4×C23C2211yescharacteristic
17C22×C22⋊C4×C23C2211yescharacteristic
18C22×C22⋊C4×C23C2211yescharacteristic
19C22×C22⋊C4×C23C2211yescharacteristic
20C22×C22⋊C4×C23C2211yescharacteristic
21C22×C42×C23C2212yes—
22C23×#385—24no—
23C23×#381—24no—
24C23×#381C418yescomplemented
25C4×C22⋊C4×C23—24no—
26C2×C23×#95—24no—
27C2×C23×#95C2212yes—
28C2×C23×#95C2212yes—
29C2×C23×#95C2211yescharacteristic
30C2×C23×#95C2212yes—
31C2×C23×#95C2212yes—
32C2×C23×#95C2212yes—
33C2×C23×#95C2212yes—
34C2×C23×#95C2212yes—
35C2×C23×#95C2211yescharacteristic
36C2×C23×#95C2212yes—
37C2×C23×#95C2212yes—
38C2×C23×#95C2212yes—
39C2×C23×#95C2212yes—
40C25×C23C2311yescharacteristic
41C23×C4×C23—22no—
42C23×C4×C23—22no—
43C23×C4×C23—22no—
44C23×C4×C23—22no—
45C23×C4×C23—22no—
46C23×C4×C23—22no—
47C23×C4×C23—22no—
48C23×C4×C23—22no—
49C23×C4×C23—22no—
50C23×C4×C23—24no—
51C23×C4×C23—24no—
52C23×C4×C23—22no—
53C23×C4×C23—22no—
54C23×C4×C23—42no—
55C23×C4×C23—42no—
56C23×C4×C23C2×C414yes—
57C23×C4×C23D414yes—
58C23×C4×C23C2311yescharacteristic
59C23×C4×C23C2311yescharacteristic
60C23×C4×C23C2312yes—
61C23×C4×C23C2312yes—
62C23×C4×C23C2311yescharacteristic
63C23×C4×C23C2311yescharacteristic
64C23×C4×C23C2311yescharacteristic
65C23×C4×C23C2312yes—
66C23×C4×C23C2312yes—
67C23×C4×C23C2311yescharacteristic
68C2×C4⋊C4×C23—22no—
69C2×C4⋊C4×C23—22no—
70C2×C4⋊C4×C23—24no—
71C2×C4⋊C4×C23—42no—
72C2×C22⋊C4×C23—22no—
73C2×C22⋊C4×C23—22no—
74C2×C22⋊C4×C23—22no—
75C2×C22⋊C4×C23—22no—
76C2×C22⋊C4×C23—22no—
77C2×C22⋊C4×C23—22no—
78C2×C22⋊C4×C23—22no—
79C2×C22⋊C4×C23—22no—
80C2×C22⋊C4×C23—22no—
81C2×C22⋊C4×C23C2×C414yes—
82C2×C22⋊C4×C23C2×C414yes—
83C2×C22⋊C4×C23D414yes—
84C2×C42×C23—24no—
85C2×C42×C23—24no—
86C2×C42×C23—42no—
87C23×#95—24no—
88C23×#95—24no—
89C23×#95—24no—
90C23×#95—24no—
91C23×#95—24no—
92C23×#95—22no—
93C23×#95—22no—
94C23×#95—24no—
95C23×#95—24no—
96C23×#95—42no—
97C23×#95—42no—
98C23×#95C2×C418yescomplemented
99C23×#95C2×C418yescomplemented
100C24×C23—22no—
101C24×C23—22no—
102C24×C23—22no—
103C24×C23—22no—
104C24×C23C22×C412yes—
105C24×C23C2×D412yes—
106C24×C23C2×D412yes—
107C24×C23#4112yes—
108C24×C23#4112yes—
109C24×C23#4112yes—
110C24×C23#4112yes—
111C24×C23C2411yescharacteristic
112C22×C4×C23—21no—
113C22×C4×C23—21no—
114C22×C4×C23—22no—
115C22×C4×C23—28no—
116C22×C4×C23—28no—
117C22×C4×C23—28no—
118C22×C4×C23—28no—
119C22×C4×C23—28no—
120C22×C4×C23—22no—
121C22×C4×C23—21no—
122C22×C4×C23—21no—
123C22×C4×C23—22no—
124C22×C4×C23—22no—
125C22×C4×C23—21no—
126C22×C4×C23—22no—
127C22×C4×C23—22no—
128C22×C4×C23—22no—
129C22×C4×C23—21no—
130C22×C4×C23—21no—
131C22×C4×C23—22no—
132C22×C4×C23—22no—
133C22×C4×C23—22no—
134C22×C4×C23—22no—
135C22×C4×C23—22no—
136C22×C4×C23—22no—
137C22×C4×C23—22no—
138C22×C4×C23—22no—
139C22×C4×C23—21no—
140C22×C4×C23—22no—
141C22×C4×C23—22no—
142C22×C4×C23—22no—
143C22×C4×C23—22no—
144C22×C4×C23—22no—
145C22×C4×C23—22no—
146C22×C4×C23—22no—
147C22×C4×C23—22no—
148C22×C4×C23—22no—
149C22×C4×C23—22no—
150C22×C4×C23—22no—
151C22×C4×C23—22no—
152C22×C4×C23—22no—
153C22×C4×C23—22no—
154C22×C4×C23—22no—
155C22×C4×C23—22no—
156C22×C4×C23—28no—
157C22×C4×C23—21no—
158C22×C4×C23—21no—
159C22×C4×C23—21no—
160C22×C4×C23—21no—
161C22×C4×C23—21no—
162C22×C4×C23—21no—
163C22×C4×C23—22no—
164C22×C4×C23—22no—
165C22×C4×C23—22no—
166C22×C4×C23—22no—
167C22×C4×C23—44no—
168C22×C4×C23—48no—
169C22×C4×C23—48no—
170C22×C4×C23—48no—
171C22×C4×C23—48no—
172C22×C4×C23—44no—
173C22×C4×C23—44no—
174C22×C4×C23—44no—
175C22×C4×C23—44no—
176C22×C4×C23—44no—
177C22×C4×C23—44no—
178C22×C4×C23C22×C412yes—
179C22×C4×C23C22×C414yes—
180C22×C4×C23C22×C412yes—
181C22×C4×C23C22×C414yes—
182C22×C4×C23C2×D414yes—
183C22×C4×C23C2×D412yes—
184C22×C4×C23C2×D412yes—
185C22×C4×C23#4114yes—
186C22×C4×C23#4114yes—
187C4⋊C4×C23—44no—
188C4⋊C4×C23—44no—
189C22⋊C4×C23—28no—
190C22⋊C4×C23—28no—
191C22⋊C4×C23—28no—
192C22⋊C4×C23—44no—
193C42×C23—48no—
194#13972C2311yesmaximal, characteristic, direct product factor, Sylow
195C23×C23—24no—
196C23×C23—24no—
197C23×C23—22no—
198C23×C23—22no—
199C23×C23—24no—
200C23×C23—22no—
201C23×C23—22no—
202C23×C23—24no—
203C23×C23—24no—
204C23×C23—24no—
205C23×C23—24no—
206C23×C23—24no—
207C23×C23—24no—
208C23×C23—24no—
209C23×C23—24no—
210C23×C23—24no—
211C23×C23#11714yes—
212C23×C23C4×D414yes—
213C23×C23C4×D414yes—
214C23×C23#12114yes—
215C23×C23#12314yes—
216C23×C23#12414yes—
217C23×C23#12614yes—
218C23×C23C23×C411yescharacteristic
219C23×C23C22×D411yescharacteristic
220C23×C23C22×D411yescharacteristic
221C23×C23C2×#4111yescharacteristic
222C23×C23C2×#4111yescharacteristic
223C23×C23C2×#4111yescharacteristic
224C23×C23C2×#4111yescharacteristic
225C23×C23C2×#4112yes—
226C23×C23C2×#4112yes—
227C23×C23H(5,𝔽2)12yes—
228C23×C232−1+412yes—
229C2×C4×C23—22no—
230C2×C4×C23—22no—
231C2×C4×C23—24no—
232C2×C4×C23—24no—
233C2×C4×C23—24no—
234C2×C4×C23—22no—
235C2×C4×C23—24no—
236C2×C4×C23—22no—
237C2×C4×C23—24no—
238C2×C4×C23—24no—
239C2×C4×C23—24no—
240C2×C4×C23—24no—
241C2×C4×C23—24no—
242C2×C4×C23—24no—
243C2×C4×C23—22no—
244C2×C4×C23—24no—
245C2×C4×C23—22no—
246C2×C4×C23—24no—
247C2×C4×C23—22no—
248C2×C4×C23—24no—
249C2×C4×C23—24no—
250C2×C4×C23—24no—
251C2×C4×C23—24no—
252C2×C4×C23—416no—
253C2×C4×C23—416no—
254C2×C4×C23—42no—
255C2×C4×C23—41no—
256C2×C4×C23—42no—
257C2×C4×C23—41no—
258C2×C4×C23—42no—
259C2×C4×C23—42no—
260C2×C4×C23—42no—
261C2×C4×C23—42no—
262C2×C4×C23—42no—
263C2×C4×C23—41no—
264C2×C4×C23—42no—
265C2×C4×C23—41no—
266C2×C4×C23—42no—
267C2×C4×C23—42no—
268C2×C4×C23—42no—
269C2×C4×C23—42no—
270C2×C4×C23—42no—
271C2×C4×C23—42no—
272C2×C4×C23—42no—
273C2×C4×C23—42no—
274C2×C4×C23—42no—
275C2×C4×C23—42no—
276C2×C4×C23—42no—
277C2×C4×C23—42no—
278C2×C4×C23—416no—
279C2×C4×C23—41no—
280C2×C4×C23—41no—
281C2×C4×C23—41no—
282C2×C4×C23—41no—
283C2×C4×C23—41no—
284C2×C4×C23—41no—
285C2×C4×C23—42no—
286C2×C4×C23—42no—
287C2×C4×C23—42no—
288C2×C4×C23—42no—
289C2×C4×C23#12314yes—
290C2×#385C2×C2311yescharacteristic
291C2×#381C2×C2311yescharacteristic
292C2×#381C2×C2311yescharacteristic
293C2×C4×C22⋊C4C2×C2311yescharacteristic
294C22×#95C2×C2311yescharacteristic
295#1443C2×C2312yescomplemented
296#1442C2×C2312yescomplemented
297#1436C2×C2312yescomplemented
298#1434C2×C2312yescomplemented
299C22⋊#95C2×C2311yescharacteristic
300C22⋊#95C2×C2311yescharacteristic
301C22×C23—24no—
302C22×C23—24no—
303C22×C23—28no—
304C22×C23—28no—
305C22×C23—24no—
306C22×C23—24no—
307C22×C23—28no—
308C22×C23—28no—
309C22×C23—24no—
310C22×C23—24no—
311C22×C23#38818yes—
312C22×C23C2×#11711yescharacteristic
313C22×C23C2×C4×D411yescharacteristic
314C22×C23C2×C4×D411yescharacteristic
315C22×C23C4×#4112yes—
316C22×C23#52012yes—
317C22×C23C2×#12111yescharacteristic
318C22×C23C2×#12311yescharacteristic
319C22×C23C2×#12311yescharacteristic
320C22×C23#52511yescharacteristic
321C22×C23C2×#12411yescharacteristic
322C22×C23C2×#12611yescharacteristic
323C22×C23#52912yes—
324C22×C23#53411yescharacteristic
325C22×C23#53611yescharacteristic
326C22×C23#53912yes—
327C22×C23#54612yes—
328C22×C23#54712yes—
329C22×C23#55112yes—
330C22×C23#55112yes—
331C22×C23#55112yes—
332C22×C23#55212yes—
333C22×C23#55212yes—
334C22×C23#55212yes—
335C4×C23—24no—
336C4×C23—44no—
337C4×C23—42no—
338C4×C23—44no—
339C4×C23—42no—
340C4×C23—44no—
341C4×C23—44no—
342C4×C23—42no—
343C4×C23—81no—
344C4×C23—81no—
345C24×C4C22×C2311yescharacteristic
346C24×C4C22×C2311yescharacteristic
347C24×C4C22×C2311yescharacteristic
348C22×C4⋊C4C22×C2311yescharacteristic
349C22×C4⋊C4C22×C2311yescharacteristic
350C22×C22⋊C4C22×C2311yescharacteristic
351C22×C22⋊C4C22×C2311yescharacteristic
352C22×C22⋊C4C22×C2311yescharacteristic
353C22×C22⋊C4C22×C2311yescharacteristic
354C22×C42C22×C2312yes—
355#385—24no—
356#381—24no—
357#381C4×C2318yescomplemented
358C4×C22⋊C4—24no—
359C2×#95—24no—
360C2×#95C22×C2312yes—
361C2×#95C22×C2312yes—
362C2×#95C22×C2311yescharacteristic
363C2×#95C22×C2312yes—
364C2×#95C22×C2312yes—
365C2×#95C22×C2312yes—
366C2×#95C22×C2312yes—
367C2×#95C22×C2312yes—
368C2×#95C22×C2311yescharacteristic
369C2×#95C22×C2312yes—
370C2×#95C22×C2312yes—
371C2×#95C22×C2312yes—
372C2×#95C22×C2312yes—
373C2×C23—28no—
374C2×C23C2×#38811yescharacteristic
375C2×C23C4×#12311yescharacteristic
376C2×C23#232211yescharacteristic
377C2×C23#234312yes—
378C2×C23#235912yes—
379C2×C23#241211yescharacteristic
380C2×C23#241311yescharacteristic
381C2×C23#241912yes—
382C2×C23#249312yes—
383C2×C23#250311yescharacteristic
384C2×C23#256111yescharacteristic
385C25C23×C2311yescharacteristic
386C23×C4—22no—
387C23×C4—22no—
388C23×C4—22no—
389C23×C4—22no—
390C23×C4—22no—
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—22no—
394C23×C4—22no—
395C23×C4—24no—
396C23×C4—24no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—42no—
400C23×C4—42no—
401C23×C4C2×C4×C2314yes—
402C23×C4D4×C2314yes—
403C23×C4C23×C2311yescharacteristic
404C23×C4C23×C2311yescharacteristic
405C23×C4C23×C2311yescharacteristic
406C23×C4C23×C2311yescharacteristic
407C23×C4C23×C2312yes—
408C23×C4C23×C2312yes—
409C23×C4C23×C2312yes—
410C23×C4C23×C2311yescharacteristic
411C23×C4C23×C2312yes—
412C23×C4C23×C2311yescharacteristic
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—42no—
417C2×C22⋊C4—22no—
418C2×C22⋊C4—22no—
419C2×C22⋊C4—22no—
420C2×C22⋊C4—22no—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4C2×C4×C2314yes—
427C2×C22⋊C4C2×C4×C2314yes—
428C2×C22⋊C4D4×C2314yes—
429C2×C42—24no—
430C2×C42—24no—
431C2×C42—42no—
432#95—24no—
433#95—24no—
434#95—24no—
435#95—24no—
436#95—24no—
437#95—22no—
438#95—22no—
439#95—24no—
440#95—24no—
441#95—42no—
442#95—42no—
443#95C2×C4×C2318yescomplemented
444#95C2×C4×C2318yescomplemented
445C23#1397211yescharacteristic, direct product factor, Sylow
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24C22×C4×C2312yes—
451C24C2×D4×C2312yes—
452C24C2×D4×C2312yes—
453C24#41×C2312yes—
454C24#41×C2312yes—
455C24#41×C2312yes—
456C24#41×C2312yes—
457C24C24×C2311yescharacteristic
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—28no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—28no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—22no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4C22×C4×C2312yes—
525C22×C4C22×C4×C2314yes—
526C22×C4C22×C4×C2312yes—
527C22×C4C22×C4×C2314yes—
528C22×C4C2×D4×C2314yes—
529C22×C4C2×D4×C2312yes—
530C22×C4C2×D4×C2312yes—
531C22×C4#41×C2314yes—
532C22×C4#41×C2314yes—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C22⋊C4—28no—
536C22⋊C4—28no—
537C22⋊C4—28no—
538C22⋊C4—44no—
539C42—48no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—22no—
550C23—22no—
551C23—24no—
552C23—22no—
553C23—22no—
554C23—24no—
555C23—24no—
556C23C23×#11714yes—
557C23C4×D4×C2314yes—
558C23C4×D4×C2314yes—
559C23C23×#12114yes—
560C23C23×#12314yes—
561C23C23×#12414yes—
562C23C23×#12614yes—
563C23C23×C4×C2311yescharacteristic
564C23C22×D4×C2311yescharacteristic
565C23C22×D4×C2311yescharacteristic
566C23C2×#41×C2312yes—
567C23C2×#41×C2311yescharacteristic
568C23C2×#41×C2311yescharacteristic
569C23C2×#41×C2311yescharacteristic
570C23C2×#41×C2312yes—
571C23C2×#41×C2311yescharacteristic
572C23C23×H(5,𝔽2)12yes—
573C23C23×2−1+412yes—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—416no—
598C2×C4—416no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—416no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4C23×#12314yes—
635C22—24no—
636C22—24no—
637C22—28no—
638C22—28no—
639C22—24no—
640C22—24no—
641C22—24no—
642C22—24no—
643C22—28no—
644C22—28no—
645C22C23×#38818yes—
646C22C2×C23×#11711yescharacteristic
647C22C2×C4×D4×C2311yescharacteristic
648C22C2×C4×D4×C2311yescharacteristic
649C22C4×#41×C2312yes—
650C22C23×#52012yes—
651C22C2×C23×#12111yescharacteristic
652C22C2×C23×#12311yescharacteristic
653C22C2×C23×#12311yescharacteristic
654C22C23×#52511yescharacteristic
655C22C2×C23×#12411yescharacteristic
656C22C2×C23×#12611yescharacteristic
657C22C23×#52912yes—
658C22C23×#53411yescharacteristic
659C22C23×#53611yescharacteristic
660C22C23×#53912yes—
661C22C23×#54612yes—
662C22C23×#54712yes—
663C22C23×#55112yes—
664C22C23×#55112yes—
665C22C23×#55112yes—
666C22C23×#55212yes—
667C22C23×#55212yes—
668C22C23×#55212yes—
669C4—24no—
670C4—42no—
671C4—44no—
672C4—44no—
673C4—42no—
674C4—44no—
675C4—42no—
676C4—44no—
677C4—81no—
678C4—81no—
679C2—28no—
680C2C2×C23×#38811yescharacteristic
681C2C4×C23×#12311yescharacteristic
682C2C23×#232211yescharacteristic
683C2C23×#234312yes—
684C2C23×#235912yes—
685C2C23×#241211yescharacteristic
686C2C23×#241311yescharacteristic
687C2C23×#241912yes—
688C2C23×#249312yes—
689C2C23×#250311yescharacteristic
690C2C23×#256111yescharacteristic
subgroupG/H
center, socleC24×C23C24
commutatorC23C23×C4×C23
Frattini, cosocleC24C24×C23
prime radicalC25×C23C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C23 ◁ G

Complements

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

NH ≅ G/Ntype
6. C23×#1443C2semidirect
7. C23×#1442C2semidirect
8. C23×#1436C2semidirect
9. C23×#1434C2semidirect
24. C23×#381C4semidirect
98. C23×#95C2×C4semidirect
99. C23×#95C2×C4semidirect
194. #13972C23direct (N × H)
295. #1443C2×C23semidirect
296. #1442C2×C23semidirect
297. #1436C2×C23semidirect
298. #1434C2×C23semidirect
357. #381C4×C23semidirect
443. #95C2×C4×C23semidirect
444. #95C2×C4×C23semidirect
445. C23#13972direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C23×#3852
C2×C23×#3812
C2×C4×C22⋊C4×C232
C22×C23×#952
C23×#14432
C23×#14422
C23×#14362
C23×#14342
C23×C22⋊#952
#1397223