Finite Group Databasebeta

← C23×#26721 #19174347

Subgroups — C23×#26721 #19174347

Order 5888.

832 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2489C211yesmaximal, characteristic, complemented
2C23×#2361C211yesmaximal, characteristic
3C23×#2055C211yesmaximal, characteristic, complemented
4C23×#2033C211yesmaximal, characteristic
5C23×#2025C211yesmaximal, characteristic, complemented
6C23×#2000C211yesmaximal, characteristic
7C23×#1989C211yesmaximal, characteristic, complemented
8C23×#1933C211yesmaximal, characteristic, complemented
9C23×#1928C211yesmaximal, characteristic, complemented
10C23×#1923C211yesmaximal, characteristic, complemented
11C23×#1918C211yesmaximal, characteristic, complemented
12C23×#1877C211yesmaximal, characteristic, complemented
13C23×#1872C211yesmaximal, characteristic, complemented
14C23×#1824C211yesmaximal, characteristic, complemented
15C4×C23×#102C211yesmaximal, characteristic, complemented
16C22×SD16×C23C2211yescharacteristic
17C2×C23×#125C2211yescharacteristic
18C2×C23×C22⋊Q8C2211yescharacteristic
19C2×C23×#121C2211yescharacteristic
20C2×C4×D4×C23—21no—
21C2×C4×D4×C23C2211yescharacteristic
22C22×C4⋊C4×C23C2211yescharacteristic
23C2×C23×#107C2211yescharacteristic
24C2×C23×C4⋊C8C2211yescharacteristic
25C2×C23×#103C2211yescharacteristic
26C2×C23×#103C2211yescharacteristic
27C2×C23×#103C2211yescharacteristic
28C2×C23×#102C2211yescharacteristic
29C2×C23×#102C2211yescharacteristic
30C2×C23×#102C2211yescharacteristic
31C2×C23×C22⋊C8C2211yescharacteristic
32C2×C23×C22⋊C8C2211yescharacteristic
33C2×C4×C8×C23C2211yescharacteristic
34C23×#400—21no—
35C23×#397—21no—
36C23×#391C2211yescharacteristic
37C23×#391C2211yescharacteristic
38C23×#390C2211yescharacteristic
39C23×#389C2211yescharacteristic
40C23×#388—21no—
41C23×#388—21no—
42C23×#386—21no—
43C23×#385—21no—
44C23×#382—21no—
45C23×#380C2211yescharacteristic
46C4×C4⋊C4×C23C2211yescharacteristic
47C4×C4⋊C4×C23C2211yescharacteristic
48C4×C22⋊C4×C23C2211yescharacteristic
49C23×#340C2211yescharacteristic
50C23×#340C2211yescharacteristic
51C23×#340C2211yescharacteristic
52C23×#340C2211yescharacteristic
53C23×#340C2211yescharacteristic
54C23×#340C2211yescharacteristic
55C23×#340C2211yescharacteristic
56C23×#340C2211yescharacteristic
57C23×#336C2211yescharacteristic
58C23×#336C2211yescharacteristic
59C22×Q8×C23C2311yescharacteristic
60C22×D4×C23—21no—
61C22×D4×C23C2311yescharacteristic
62C23×C4×C23—21no—
63C23×C4×C23—21no—
64C23×C4×C23C2311yescharacteristic
65C2×SD16×C23—22no—
66C2×SD16×C23—41no—
67C2×SD16×C23—41no—
68C22×C8×C23C2311yescharacteristic
69C22×C8×C23C2311yescharacteristic
70C22×C8×C23C2311yescharacteristic
71C22×C8×C23C2311yescharacteristic
72C23×#125—22no—
73C23×#125—41no—
74C23×C22⋊Q8—22no—
75C23×C22⋊Q8—41no—
76C23×#121—22no—
77C23×#121—22no—
78C4×D4×C23—22no—
79C4×D4×C23—41no—
80C4×D4×C23—44no—
81C2×C4⋊C4×C23—22no—
82C2×C4⋊C4×C23—21no—
83C2×C4⋊C4×C23—21no—
84C2×C4⋊C4×C23—21no—
85C2×C4⋊C4×C23—21no—
86C2×C4⋊C4×C23—21no—
87C2×C4⋊C4×C23—41no—
88C2×C4⋊C4×C23C2311yescharacteristic
89C2×C4⋊C4×C23C2311yescharacteristic
90C2×C4⋊C4×C23C2311yescharacteristic
91C2×C4⋊C4×C23C2311yescharacteristic
92C2×C4⋊C4×C23C2311yescharacteristic
93C2×C4⋊C4×C23C2311yescharacteristic
94C2×C22⋊C4×C23—21no—
95C2×C22⋊C4×C23—21no—
96C2×C22⋊C4×C23—21no—
97C2×C22⋊C4×C23—21no—
98C2×C22⋊C4×C23—21no—
99C2×C22⋊C4×C23—21no—
100C2×C22⋊C4×C23D411yescharacteristic
101C2×C22⋊C4×C23D411yescharacteristic
102C2×C42×C23—21no—
103C2×C42×C23—21no—
104C2×C42×C23C2311yescharacteristic
105C2×C42×C23C2311yescharacteristic
106C23×#107—22no—
107C23×C4⋊C8—41no—
108C23×#103—22no—
109C23×#103—22no—
110C23×#103—41no—
111C23×#102—22no—
112C23×#102—22no—
113C23×#102—41no—
114C23×C22⋊C8—41no—
115C23×C22⋊C8—41no—
116C4×C8×C23—41no—
117C23×#95—21no—
118C23×#95—21no—
119C23×#95—21no—
120C23×#95—21no—
121C23×#95—21no—
122C23×#95—21no—
123C23×#95—21no—
124C23×#95—21no—
125C23×#95D411yescharacteristic
126C23×#95D411yescharacteristic
127C24×C23—21no—
128C24×C23C2×D411yescharacteristic
129C2×Q8×C23—21no—
130C2×Q8×C23—21no—
131C2×Q8×C23—21no—
132C2×Q8×C23—21no—
133C2×Q8×C23—21no—
134C2×Q8×C23—21no—
135C2×D4×C23—24no—
136C2×D4×C23—21no—
137C2×D4×C23—21no—
138C2×D4×C23—21no—
139C2×D4×C23—21no—
140C2×D4×C23—21no—
141C2×D4×C23—42no—
142C2×D4×C23—42no—
143C2×D4×C23#4112yes—
144C22×C4×C23—21no—
145C22×C4×C23—21no—
146C22×C4×C23—21no—
147C22×C4×C23—21no—
148C22×C4×C23—21no—
149C22×C4×C23—21no—
150C22×C4×C23—21no—
151C22×C4×C23—21no—
152C22×C4×C23—21no—
153C22×C4×C23—21no—
154C22×C4×C23—21no—
155C22×C4×C23—21no—
156C22×C4×C23—21no—
157C22×C4×C23—42no—
158C22×C4×C23—42no—
159C22×C4×C23—42no—
160C22×C4×C23—42no—
161C22×C4×C23—81no—
162C22×C4×C23—81no—
163C22×C4×C23C2×D411yescharacteristic
164C22×C4×C23C2×D411yescharacteristic
165C22×C4×C23C2×D411yescharacteristic
166C22×C4×C23C2×D411yescharacteristic
167C22×C4×C23C2×D411yescharacteristic
168C22×C4×C23C2411yescharacteristic
169SD16×C23—44no—
170C2×C8×C23—21no—
171C2×C8×C23—21no—
172C2×C8×C23—21no—
173C2×C8×C23—21no—
174C2×C8×C23—21no—
175C2×C8×C23—21no—
176C2×C8×C23—21no—
177C2×C8×C23—21no—
178C2×C8×C23—21no—
179C2×C8×C23—21no—
180C2×C8×C23—21no—
181C2×C8×C23—21no—
182C4⋊C4×C23—21no—
183C4⋊C4×C23—21no—
184C4⋊C4×C23—21no—
185C4⋊C4×C23—21no—
186C4⋊C4×C23—21no—
187C4⋊C4×C23—21no—
188C4⋊C4×C23—21no—
189C4⋊C4×C23—21no—
190C4⋊C4×C23—21no—
191C4⋊C4×C23—42no—
192C4⋊C4×C23—42no—
193C4⋊C4×C23—42no—
194C4⋊C4×C23—42no—
195C4⋊C4×C23—42no—
196C4⋊C4×C23#4112yes—
197C4⋊C4×C23#4112yes—
198C4⋊C4×C23#4112yes—
199C22⋊C4×C23—24no—
200C22⋊C4×C23—22no—
201C22⋊C4×C23—22no—
202C22⋊C4×C23—42no—
203C22⋊C4×C23—42no—
204C22⋊C4×C23—42no—
205C22⋊C4×C23—42no—
206C22⋊C4×C23—81no—
207C42×C23—21no—
208C42×C23—21no—
209C42×C23—21no—
210C42×C23—21no—
211C42×C23—42no—
212C42×C23—42no—
213#26721C2311yesmaximal, characteristic, direct product factor, Sylow
214C23×C23—21no—
215C23×C23—21no—
216C23×C23—21no—
217C23×C23—21no—
218C23×C23—21no—
219C23×C23—21no—
220C23×C23—22no—
221C23×C23—41no—
222C23×C23—41no—
223C23×C23—41no—
224C23×C23—41no—
225C23×C23—41no—
226C23×C23—41no—
227C23×C23#13512yes—
228C23×C23C22×D411yescharacteristic
229Q8×C23—41no—
230Q8×C23—41no—
231Q8×C23—41no—
232Q8×C23—41no—
233D4×C23—22no—
234D4×C23—22no—
235D4×C23—48no—
236D4×C23—41no—
237D4×C23—41no—
238C2×C4×C23—21no—
239C2×C4×C23—21no—
240C2×C4×C23—21no—
241C2×C4×C23—22no—
242C2×C4×C23—21no—
243C2×C4×C23—21no—
244C2×C4×C23—21no—
245C2×C4×C23—22no—
246C2×C4×C23—22no—
247C2×C4×C23—21no—
248C2×C4×C23—21no—
249C2×C4×C23—21no—
250C2×C4×C23—21no—
251C2×C4×C23—21no—
252C2×C4×C23—21no—
253C2×C4×C23—21no—
254C2×C4×C23—21no—
255C2×C4×C23—41no—
256C2×C4×C23—41no—
257C2×C4×C23—41no—
258C2×C4×C23—41no—
259C2×C4×C23—41no—
260C2×C4×C23—41no—
261C2×C4×C23—41no—
262C2×C4×C23—41no—
263C2×C4×C23—41no—
264C2×C4×C23—41no—
265C2×C4×C23—41no—
266C2×C4×C23—41no—
267C2×C4×C23—41no—
268C2×C4×C23—41no—
269C2×C4×C23—41no—
270C2×C4×C23—41no—
271C2×C4×C23—41no—
272C2×C4×C23—41no—
273C2×C4×C23—41no—
274C2×C4×C23—41no—
275C2×C4×C23—41no—
276C2×C4×C23—41no—
277C2×C4×C23—84no—
278C2×C4×C23—84no—
279C2×C4×C23AGL(1,ℤ/8)12yes—
280C2×C4×C23C2×#4111yescharacteristic
281C2×C4×C23C2×#4111yescharacteristic
282C2×C4×C23C2×#4111yescharacteristic
283C2×C4×C23C2×#4111yescharacteristic
284C2×C4×C23H(5,𝔽2)11yescharacteristic
285C2×C4×C23H(5,𝔽2)11yescharacteristic
286C8×C23—41no—
287C8×C23—41no—
288C8×C23—41no—
289C8×C23—41no—
290#2489C2×C2311yescharacteristic, complemented
291#2361C2×C2311yescharacteristic
292#2055C2×C2311yescharacteristic, complemented
293#2033C2×C2311yescharacteristic
294#2025C2×C2311yescharacteristic, complemented
295#2000C2×C2311yescharacteristic
296#1989C2×C2311yescharacteristic, complemented
297#1933C2×C2311yescharacteristic, complemented
298#1928C2×C2311yescharacteristic, complemented
299#1923C2×C2311yescharacteristic, complemented
300#1918C2×C2311yescharacteristic, complemented
301#1877C2×C2311yescharacteristic, complemented
302#1872C2×C2311yescharacteristic, complemented
303#1824C2×C2311yescharacteristic, complemented
304C4×#102C2×C2311yescharacteristic, complemented
305C22×C23—22no—
306C22×C23—22no—
307C22×C23—22no—
308C22×C23—41no—
309C22×C23—41no—
310C22×C23—41no—
311C22×C23—41no—
312C22×C23—42no—
313C22×C23—42no—
314C22×C23—42no—
315C22×C23—81no—
316C22×C23—81no—
317C22×C23—81no—
318C22×C23—81no—
319C22×C23#52511yescharacteristic
320C22×C23#54611yescharacteristic
321C22×C23#54611yescharacteristic
322C22×C23C2×#13511yescharacteristic
323C22×C23C2×AGL(1,ℤ/8)11yescharacteristic
324C22×C23#57711yescharacteristic
325C22×C23#57811yescharacteristic
326C4×C23—22no—
327C4×C23—41no—
328C4×C23—42no—
329C4×C23—42no—
330C4×C23—41no—
331C4×C23—41no—
332C4×C23—41no—
333C4×C23—42no—
334C4×C23—81no—
335C4×C23—81no—
336C4×C23—81no—
337C4×C23—81no—
338C4×C23#52911yescharacteristic
339C4×C23#53811yescharacteristic
340C4×C23#55511yescharacteristic
341C4×C23#55911yescharacteristic
342C22×SD16C22×C2311yescharacteristic
343C2×#125C22×C2311yescharacteristic
344C2×C22⋊Q8C22×C2311yescharacteristic
345C2×#121C22×C2311yescharacteristic
346C2×C4×D4—21no—
347C2×C4×D4C22×C2311yescharacteristic
348C22×C4⋊C4C22×C2311yescharacteristic
349C2×#107C22×C2311yescharacteristic
350C2×C4⋊C8C22×C2311yescharacteristic
351C2×#103C22×C2311yescharacteristic
352C2×#103C22×C2311yescharacteristic
353C2×#103C22×C2311yescharacteristic
354C2×#102C22×C2311yescharacteristic
355C2×#102C22×C2311yescharacteristic
356C2×#102C22×C2311yescharacteristic
357C2×C22⋊C8C22×C2311yescharacteristic
358C2×C22⋊C8C22×C2311yescharacteristic
359C2×C4×C8C22×C2311yescharacteristic
360#400—21no—
361#397—21no—
362#391C22×C2311yescharacteristic
363#391C22×C2311yescharacteristic
364#390C22×C2311yescharacteristic
365#389C22×C2311yescharacteristic
366#388—21no—
367#388—21no—
368#386—21no—
369#385—21no—
370#382—21no—
371#380C22×C2311yescharacteristic
372C4×C4⋊C4C22×C2311yescharacteristic
373C4×C4⋊C4C22×C2311yescharacteristic
374C4×C22⋊C4C22×C2311yescharacteristic
375#340C22×C2311yescharacteristic
376#340C22×C2311yescharacteristic
377#340C22×C2311yescharacteristic
378#340C22×C2311yescharacteristic
379#340C22×C2311yescharacteristic
380#340C22×C2311yescharacteristic
381#340C22×C2311yescharacteristic
382#340C22×C2311yescharacteristic
383#336C22×C2311yescharacteristic
384#336C22×C2311yescharacteristic
385C2×C23—42no—
386C2×C23—82no—
387C2×C23#245911yescharacteristic
388C2×C23#310511yescharacteristic
389C2×C23#312011yescharacteristic
390C2×C23#330011yescharacteristic
391C2×C23#330111yescharacteristic
392C2×C23#331011yescharacteristic
393C2×C23#333011yescharacteristic
394C22×Q8C23×C2311yescharacteristic
395C22×D4—21no—
396C22×D4C23×C2311yescharacteristic
397C23×C4—21no—
398C23×C4—21no—
399C23×C4C23×C2311yescharacteristic
400C2×SD16—22no—
401C2×SD16—41no—
402C2×SD16—41no—
403C22×C8C23×C2311yescharacteristic
404C22×C8C23×C2311yescharacteristic
405C22×C8C23×C2311yescharacteristic
406C22×C8C23×C2311yescharacteristic
407#125—22no—
408#125—41no—
409C22⋊Q8—22no—
410C22⋊Q8—41no—
411#121—22no—
412#121—22no—
413C4×D4—22no—
414C4×D4—41no—
415C4×D4—44no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4C23×C2311yescharacteristic
424C2×C4⋊C4C23×C2311yescharacteristic
425C2×C4⋊C4C23×C2311yescharacteristic
426C2×C4⋊C4C23×C2311yescharacteristic
427C2×C4⋊C4C23×C2311yescharacteristic
428C2×C4⋊C4C23×C2311yescharacteristic
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4D4×C2311yescharacteristic
436C2×C22⋊C4D4×C2311yescharacteristic
437C2×C42—21no—
438C2×C42—21no—
439C2×C42C23×C2311yescharacteristic
440C2×C42C23×C2311yescharacteristic
441#107—22no—
442C4⋊C8—41no—
443#103—22no—
444#103—22no—
445#103—41no—
446#102—22no—
447#102—22no—
448#102—41no—
449C22⋊C8—41no—
450C22⋊C8—41no—
451C4×C8—41no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95D4×C2311yescharacteristic
461#95D4×C2311yescharacteristic
462C23#2672111yescharacteristic, direct product factor, Sylow
463C24—21no—
464C24C2×D4×C2311yescharacteristic
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4#41×C2312yes—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
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—21no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4C2×D4×C2311yescharacteristic
500C22×C4C2×D4×C2311yescharacteristic
501C22×C4C2×D4×C2311yescharacteristic
502C22×C4C2×D4×C2311yescharacteristic
503C22×C4C2×D4×C2311yescharacteristic
504C22×C4C24×C2311yescharacteristic
505SD16—44no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4#41×C2312yes—
533C4⋊C4#41×C2312yes—
534C4⋊C4#41×C2312yes—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—42no—
548C42—42no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—22no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23C23×#13512yes—
563C23C22×D4×C2311yescharacteristic
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568D4—22no—
569D4—22no—
570D4—48no—
571D4—41no—
572D4—41no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—84no—
613C2×C4—84no—
614C2×C4C23×AGL(1,ℤ/8)12yes—
615C2×C4C2×#41×C2311yescharacteristic
616C2×C4C2×#41×C2311yescharacteristic
617C2×C4C2×#41×C2311yescharacteristic
618C2×C4C2×#41×C2311yescharacteristic
619C2×C4C23×H(5,𝔽2)11yescharacteristic
620C2×C4C23×H(5,𝔽2)11yescharacteristic
621C8—41no—
622C8—41no—
623C8—41no—
624C8—41no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C23×#52511yescharacteristic
640C22C23×#54611yescharacteristic
641C22C23×#54611yescharacteristic
642C22C2×C23×#13511yescharacteristic
643C22C2×C23×AGL(1,ℤ/8)11yescharacteristic
644C22C23×#57711yescharacteristic
645C22C23×#57811yescharacteristic
646C4—22no—
647C4—41no—
648C4—41no—
649C4—41no—
650C4—42no—
651C4—41no—
652C4—42no—
653C4—42no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C23×#52911yescharacteristic
659C4C23×#53811yescharacteristic
660C4C23×#55511yescharacteristic
661C4C23×#55911yescharacteristic
662C2—42no—
663C2—82no—
664C2C23×#245911yescharacteristic
665C2C23×#310511yescharacteristic
666C2C23×#312011yescharacteristic
667C2C23×#330011yescharacteristic
668C2C23×#330111yescharacteristic
669C2C23×#331011yescharacteristic
670C2C23×#333011yescharacteristic
subgroupG/H
center, socleC23×C23C22×D4
commutator, Frattini, cosocleC22×C4C24×C23
prime radicalC2×C23×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C23 ◁ C4×C22⋊C4×C23 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×#2489C2semidirect
3. C23×#2055C2semidirect
5. C23×#2025C2semidirect
7. C23×#1989C2semidirect
8. C23×#1933C2semidirect
9. C23×#1928C2semidirect
10. C23×#1923C2semidirect
11. C23×#1918C2semidirect
12. C23×#1877C2semidirect
13. C23×#1872C2semidirect
14. C23×#1824C2semidirect
15. C4×C23×#102C2semidirect
213. #26721C23direct (N × H)
290. #2489C2×C23semidirect
292. #2055C2×C23semidirect
294. #2025C2×C23semidirect
296. #1989C2×C23semidirect
297. #1933C2×C23semidirect
298. #1928C2×C23semidirect
299. #1923C2×C23semidirect
300. #1918C2×C23semidirect
301. #1877C2×C23semidirect
302. #1872C2×C23semidirect
303. #1824C2×C23semidirect
304. C4×#102C2×C23semidirect
462. C23#26721direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#24892
C23×#23612
C23×#20552
C23×#20332
C23×#20252
C23×#20002
C23×#19892
C23×#19332
C23×#19282
C23×#19232
C23×#19182
C23×#18772
C23×#18722
C23×#18242
C4×C23×#1022
#2672123