Finite Group Databasebeta

← C23×#26195 #19173821

Subgroups — C23×#26195 #19173821

Order 5888.

758 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#3096C211yesmaximal, characteristic, complemented
2C23×#3045C211yesmaximal, characteristic
3C23×#2952C211yesmaximal, characteristic, complemented
4C23×#2913C211yesmaximal, characteristic, complemented
5C23×#2092C211yesmaximal, characteristic, complemented
6C23×#2090C211yesmaximal, characteristic, complemented
7C23×#2078C211yesmaximal, characteristic, complemented
8C23×#2037C211yesmaximal, characteristic, complemented
9C23×#1931C211yesmaximal, characteristic, complemented
10C23×#1922C211yesmaximal, characteristic, complemented
11C23×#1907C211yesmaximal, characteristic, complemented
12C23×#1883C211yesmaximal, characteristic, complemented
13C23×#1876C211yesmaximal, characteristic, complemented
14C23×#1860C211yesmaximal, characteristic, complemented
15C23×#1860C211yesmaximal, characteristic, complemented
16C2×C23×AGL(1,ℤ/8)C2211yescharacteristic
17C2×C23×#135C2211yescharacteristic
18C2×C23×#131C2211yescharacteristic
19C23×#535C2211yescharacteristic
20C23×#520C2211yescharacteristic
21C23×#520C2211yescharacteristic
22C23×#520C2211yescharacteristic
23C23×#482—21no—
24C23×#482—21no—
25C23×#481—21no—
26C23×#480—21no—
27C23×#464—21no—
28C23×#463—21no—
29C23×#460—21no—
30C23×#459—21no—
31C23×#442—21no—
32C23×#441—21no—
33C4×SD16×C23—21no—
34C4×SD16×C23—21no—
35C23×#428—21no—
36C23×#428—21no—
37C23×#428C2211yescharacteristic
38C23×#428C2211yescharacteristic
39C23×#428C2211yescharacteristic
40C23×#427—21no—
41C23×#427C2211yescharacteristic
42C2×C23×#107—21no—
43C2×C23×#107C2211yescharacteristic
44C2×C23×#106C2211yescharacteristic
45C23×#424C2211yescharacteristic
46C2×C23×#104C2211yescharacteristic
47C2×C23×#104C2211yescharacteristic
48C23×#418C2211yescharacteristic
49C23×#417C2211yescharacteristic
50C23×#417C2211yescharacteristic
51C23×#417C2211yescharacteristic
52C2×C23×#102C2211yescharacteristic
53C2×C23×#102C2211yescharacteristic
54C2×C23×#100C2211yescharacteristic
55C23×#408C2211yescharacteristic
56C23×#405C2211yescharacteristic
57C23×#390C2211yescharacteristic
58C23×#382C2211yescharacteristic
59C23×#343C2211yescharacteristic
60C23×#343C2211yescharacteristic
61C23×#343C2211yescharacteristic
62C23×#341C2211yescharacteristic
63C23×#341C2211yescharacteristic
64C23×#339C2211yescharacteristic
65C23×#339C2211yescharacteristic
66C23×#336C2211yescharacteristic
67C2×#41×C23C2311yescharacteristic
68C2×#41×C23C2311yescharacteristic
69C22×D4×C23C2311yescharacteristic
70C23×AGL(1,ℤ/8)—22no—
71C23×AGL(1,ℤ/8)—22no—
72C23×#135—22no—
73C23×#135—22no—
74C2×Q16×C23D411yescharacteristic
75C2×SD16×C23—21no—
76C2×SD16×C23D411yescharacteristic
77C2×SD16×C23D411yescharacteristic
78C2×D8×C23—21no—
79C2×D8×C23D411yescharacteristic
80C23×#131—22no—
81C23×#131—22no—
82C2×M16×C23—21no—
83C2×M16×C23C2311yescharacteristic
84C2×M16×C23C2311yescharacteristic
85C2×M16×C23C2311yescharacteristic
86C2×M16×C23C2311yescharacteristic
87C22×C8×C23—21no—
88C22×C8×C23C2311yescharacteristic
89C22×C8×C23C2311yescharacteristic
90C23×#127—21no—
91C23×#124—21no—
92C23×#121—21no—
93C23×#121—21no—
94C23×#120—41no—
95C4×Q8×C23—21no—
96C4×Q8×C23—21no—
97C4×Q8×C23—21no—
98C4×D4×C23—21no—
99C4×D4×C23—21no—
100C4×D4×C23—21no—
101C4×D4×C23—41no—
102C4×D4×C23—41no—
103C4×D4×C23—41no—
104C23×#117—21no—
105C23×#117—21no—
106C23×#117—21no—
107C23×#117C2311yescharacteristic
108C23×#117C2311yescharacteristic
109C2×C4⋊C4×C23—21no—
110C2×C4⋊C4×C23—21no—
111C2×C4⋊C4×C23—21no—
112C2×C4⋊C4×C23C2311yescharacteristic
113C2×C4⋊C4×C23C2311yescharacteristic
114C2×C4⋊C4×C23C2311yescharacteristic
115C2×C22⋊C4×C23—41no—
116C2×C42×C23C2311yescharacteristic
117C23×#107—21no—
118C23×#107—21no—
119C23×#107—21no—
120C23×#107—21no—
121C23×#107—21no—
122C23×#107D411yescharacteristic
123C23×#107D411yescharacteristic
124C23×#106—21no—
125C23×#106—21no—
126C23×#106—21no—
127C23×#106—21no—
128C23×#106—21no—
129C23×#106D411yescharacteristic
130C23×#106D411yescharacteristic
131C23×C4⋊C8—21no—
132C23×C4⋊C8—21no—
133C23×#104—22no—
134C23×#104—22no—
135C23×#103—21no—
136C23×#103—21no—
137C23×#103—21no—
138C23×#102—21no—
139C23×#102—21no—
140C23×#102—21no—
141C23×#102—21no—
142C23×#102—21no—
143C23×#102—21no—
144C23×#102—21no—
145C23×#102—21no—
146C23×#102—21no—
147C23×#100—22no—
148C23×C22⋊C8—21no—
149C23×C22⋊C8—21no—
150C23×#97—21no—
151C4×C8×C23—21no—
152C23×#95—41no—
153C24×C23—21no—
154#41×C23—21no—
155#41×C23—21no—
156#41×C23—21no—
157#41×C23—21no—
158#41×C23—21no—
159#41×C23—21no—
160#41×C23#4112yes—
161#41×C23#4112yes—
162C2×Q8×C23C2×D411yescharacteristic
163C2×Q8×C23C2×D411yescharacteristic
164C2×D4×C23—21no—
165C2×D4×C23—21no—
166C2×D4×C23—21no—
167C2×D4×C23—21no—
168C2×D4×C23—21no—
169C2×D4×C23—21no—
170C2×D4×C23—21no—
171C2×D4×C23—21no—
172C2×D4×C23—41no—
173C2×D4×C23—41no—
174C2×D4×C23C2×D411yescharacteristic
175C2×D4×C23C2×D411yescharacteristic
176C22×C4×C23—21no—
177C22×C4×C23—21no—
178C22×C4×C23—21no—
179C22×C4×C23—21no—
180C22×C4×C23—21no—
181C22×C4×C23—21no—
182C22×C4×C23—41no—
183C22×C4×C23—41no—
184C22×C4×C23—41no—
185C22×C4×C23C2411yescharacteristic
186Q16×C23—22no—
187SD16×C23—22no—
188SD16×C23—22no—
189SD16×C23—42no—
190D8×C23—22no—
191D8×C23—42no—
192M16×C23—24no—
193M16×C23—21no—
194M16×C23—21no—
195M16×C23—21no—
196M16×C23—21no—
197M16×C23—21no—
198M16×C23—21no—
199M16×C23—21no—
200M16×C23#4112yes—
201C2×C8×C23—24no—
202C2×C8×C23—21no—
203C2×C8×C23—21no—
204C2×C8×C23—21no—
205C2×C8×C23—21no—
206C2×C8×C23—21no—
207C2×C8×C23—21no—
208C2×C8×C23—21no—
209C2×C8×C23—21no—
210C2×C8×C23C2×D411yescharacteristic
211C2×C8×C23C2×D411yescharacteristic
212C2×C8×C23C2×D411yescharacteristic
213C2×C8×C23C2×D411yescharacteristic
214C4⋊C4×C23—21no—
215C4⋊C4×C23—21no—
216C4⋊C4×C23—21no—
217C4⋊C4×C23—21no—
218C4⋊C4×C23—21no—
219C4⋊C4×C23—21no—
220C4⋊C4×C23—41no—
221C4⋊C4×C23—41no—
222C4⋊C4×C23—41no—
223C4⋊C4×C23C2×D411yescharacteristic
224C4⋊C4×C23C2×D411yescharacteristic
225C4⋊C4×C23C2×D411yescharacteristic
226C4⋊C4×C23C2×D411yescharacteristic
227C22⋊C4×C23—21no—
228C22⋊C4×C23—21no—
229C22⋊C4×C23—41no—
230C22⋊C4×C23—41no—
231C22⋊C4×C23—41no—
232C22⋊C4×C23—41no—
233C22⋊C4×C23—41no—
234C22⋊C4×C23—82no—
235C42×C23—21no—
236C42×C23—21no—
237C42×C23—21no—
238C42×C23—21no—
239C42×C23—41no—
240C42×C23—41no—
241C42×C23—41no—
242#26195C2311yesmaximal, characteristic, direct product factor, Sylow
243C23×C23—21no—
244C23×C23—21no—
245C23×C23—41no—
246C23×C23—41no—
247C23×C23—41no—
248C23×C23—81no—
249C23×C23—81no—
250C23×C23H(5,𝔽2)11yescharacteristic
251Q8×C23—21no—
252Q8×C23—21no—
253Q8×C23—21no—
254Q8×C23#12312yes—
255D4×C23—22no—
256D4×C23—22no—
257D4×C23—21no—
258D4×C23—21no—
259D4×C23—21no—
260D4×C23—41no—
261D4×C23—41no—
262D4×C23—41no—
263D4×C23—41no—
264D4×C23—41no—
265D4×C23—41no—
266D4×C23—161no—
267D4×C23—161no—
268D4×C23#12312yes—
269C2×C4×C23—21no—
270C2×C4×C23—22no—
271C2×C4×C23—22no—
272C2×C4×C23—21no—
273C2×C4×C23—21no—
274C2×C4×C23—21no—
275C2×C4×C23—21no—
276C2×C4×C23—21no—
277C2×C4×C23—41no—
278C2×C4×C23—41no—
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—81no—
286C2×C4×C23—81no—
287C2×C4×C23—81no—
288C2×C4×C23—161no—
289C2×C4×C23—161no—
290C2×C4×C23—161no—
291C2×C4×C23C22×D411yescharacteristic
292C2×C4×C23C22×D411yescharacteristic
293C2×C4×C23C2×#4111yescharacteristic
294C2×C4×C23C2×#4111yescharacteristic
295C2×C4×C23C2×#4111yescharacteristic
296C2×C4×C232−1+411yescharacteristic
297C8×C23—21no—
298C8×C23—21no—
299C8×C23—21no—
300C8×C23—22no—
301C8×C23—21no—
302C8×C23—41no—
303C8×C23—41no—
304C8×C23—41no—
305#3096C2×C2311yescharacteristic, complemented
306#3045C2×C2311yescharacteristic
307#2952C2×C2311yescharacteristic, complemented
308#2913C2×C2311yescharacteristic, complemented
309#2092C2×C2311yescharacteristic, complemented
310#2090C2×C2311yescharacteristic, complemented
311#2078C2×C2311yescharacteristic, complemented
312#2037C2×C2311yescharacteristic, complemented
313#1931C2×C2311yescharacteristic, complemented
314#1922C2×C2311yescharacteristic, complemented
315#1907C2×C2311yescharacteristic, complemented
316#1883C2×C2311yescharacteristic, complemented
317#1876C2×C2311yescharacteristic, complemented
318#1860C2×C2311yescharacteristic, complemented
319#1860C2×C2311yescharacteristic, complemented
320C22×C23—21no—
321C22×C23—21no—
322C22×C23—22no—
323C22×C23—41no—
324C22×C23—41no—
325C22×C23—41no—
326C22×C23—41no—
327C22×C23—41no—
328C22×C23—82no—
329C22×C23—81no—
330C22×C23—81no—
331C22×C23—81no—
332C22×C23—161no—
333C22×C23#53911yescharacteristic
334C22×C23D4211yescharacteristic
335C22×C23#55311yescharacteristic
336C4×C23—22no—
337C4×C23—41no—
338C4×C23—41no—
339C4×C23—41no—
340C4×C23—41no—
341C4×C23—41no—
342C4×C23—81no—
343C4×C23—81no—
344C4×C23—81no—
345C4×C23—81no—
346C4×C23C2×#12311yescharacteristic
347C4×C23#52511yescharacteristic
348C4×C23#54711yescharacteristic
349C4×C23#54811yescharacteristic
350C2×AGL(1,ℤ/8)C22×C2311yescharacteristic
351C2×#135C22×C2311yescharacteristic
352C2×#131C22×C2311yescharacteristic
353#535C22×C2311yescharacteristic
354#520C22×C2311yescharacteristic
355#520C22×C2311yescharacteristic
356#520C22×C2311yescharacteristic
357#482—21no—
358#482—21no—
359#481—21no—
360#480—21no—
361#464—21no—
362#463—21no—
363#460—21no—
364#459—21no—
365#442—21no—
366#441—21no—
367C4×SD16—21no—
368C4×SD16—21no—
369#428—21no—
370#428—21no—
371#428C22×C2311yescharacteristic
372#428C22×C2311yescharacteristic
373#428C22×C2311yescharacteristic
374#427—21no—
375#427C22×C2311yescharacteristic
376C2×#107—21no—
377C2×#107C22×C2311yescharacteristic
378C2×#106C22×C2311yescharacteristic
379#424C22×C2311yescharacteristic
380C2×#104C22×C2311yescharacteristic
381C2×#104C22×C2311yescharacteristic
382#418C22×C2311yescharacteristic
383#417C22×C2311yescharacteristic
384#417C22×C2311yescharacteristic
385#417C22×C2311yescharacteristic
386C2×#102C22×C2311yescharacteristic
387C2×#102C22×C2311yescharacteristic
388C2×#100C22×C2311yescharacteristic
389#408C22×C2311yescharacteristic
390#405C22×C2311yescharacteristic
391#390C22×C2311yescharacteristic
392#382C22×C2311yescharacteristic
393#343C22×C2311yescharacteristic
394#343C22×C2311yescharacteristic
395#343C22×C2311yescharacteristic
396#341C22×C2311yescharacteristic
397#341C22×C2311yescharacteristic
398#339C22×C2311yescharacteristic
399#339C22×C2311yescharacteristic
400#336C22×C2311yescharacteristic
401C2×C23—21no—
402C2×C23—21no—
403C2×C23—42no—
404C2×C23—81no—
405C2×C23—161no—
406C2×C23#244311yescharacteristic
407C2×C23#328811yescharacteristic
408C2×C23#329011yescharacteristic
409C2×#41C23×C2311yescharacteristic
410C2×#41C23×C2311yescharacteristic
411C22×D4C23×C2311yescharacteristic
412AGL(1,ℤ/8)—22no—
413AGL(1,ℤ/8)—22no—
414#135—22no—
415#135—22no—
416C2×Q16D4×C2311yescharacteristic
417C2×SD16—21no—
418C2×SD16D4×C2311yescharacteristic
419C2×SD16D4×C2311yescharacteristic
420C2×D8—21no—
421C2×D8D4×C2311yescharacteristic
422#131—22no—
423#131—22no—
424C2×M16—21no—
425C2×M16C23×C2311yescharacteristic
426C2×M16C23×C2311yescharacteristic
427C2×M16C23×C2311yescharacteristic
428C2×M16C23×C2311yescharacteristic
429C22×C8—21no—
430C22×C8C23×C2311yescharacteristic
431C22×C8C23×C2311yescharacteristic
432#127—21no—
433#124—21no—
434#121—21no—
435#121—21no—
436#120—41no—
437C4×Q8—21no—
438C4×Q8—21no—
439C4×Q8—21no—
440C4×D4—21no—
441C4×D4—21no—
442C4×D4—21no—
443C4×D4—41no—
444C4×D4—41no—
445C4×D4—41no—
446#117—21no—
447#117—21no—
448#117—21no—
449#117C23×C2311yescharacteristic
450#117C23×C2311yescharacteristic
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4C23×C2311yescharacteristic
455C2×C4⋊C4C23×C2311yescharacteristic
456C2×C4⋊C4C23×C2311yescharacteristic
457C2×C22⋊C4—41no—
458C2×C42C23×C2311yescharacteristic
459#107—21no—
460#107—21no—
461#107—21no—
462#107—21no—
463#107—21no—
464#107D4×C2311yescharacteristic
465#107D4×C2311yescharacteristic
466#106—21no—
467#106—21no—
468#106—21no—
469#106—21no—
470#106—21no—
471#106D4×C2311yescharacteristic
472#106D4×C2311yescharacteristic
473C4⋊C8—21no—
474C4⋊C8—21no—
475#104—22no—
476#104—22no—
477#103—21no—
478#103—21no—
479#103—21no—
480#102—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#100—22no—
490C22⋊C8—21no—
491C22⋊C8—21no—
492#97—21no—
493C4×C8—21no—
494#95—41no—
495C23#2619511yescharacteristic, direct product factor, Sylow
496C24—21no—
497#41—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41—21no—
503#41#41×C2312yes—
504#41#41×C2312yes—
505C2×Q8C2×D4×C2311yescharacteristic
506C2×Q8C2×D4×C2311yescharacteristic
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—41no—
516C2×D4—41no—
517C2×D4C2×D4×C2311yescharacteristic
518C2×D4C2×D4×C2311yescharacteristic
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4C24×C2311yescharacteristic
529Q16—22no—
530SD16—22no—
531SD16—22no—
532SD16—42no—
533D8—22no—
534D8—42no—
535M16—24no—
536M16—21no—
537M16—21no—
538M16—21no—
539M16—21no—
540M16—21no—
541M16—21no—
542M16—21no—
543M16#41×C2312yes—
544C2×C8—24no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8C2×D4×C2311yescharacteristic
554C2×C8C2×D4×C2311yescharacteristic
555C2×C8C2×D4×C2311yescharacteristic
556C2×C8C2×D4×C2311yescharacteristic
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—41no—
564C4⋊C4—41no—
565C4⋊C4—41no—
566C4⋊C4C2×D4×C2311yescharacteristic
567C4⋊C4C2×D4×C2311yescharacteristic
568C4⋊C4C2×D4×C2311yescharacteristic
569C4⋊C4C2×D4×C2311yescharacteristic
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—41no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—82no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—41no—
583C42—41no—
584C42—41no—
585C23—21no—
586C23—21no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—81no—
591C23—81no—
592C23C23×H(5,𝔽2)11yescharacteristic
593Q8—21no—
594Q8—21no—
595Q8—21no—
596Q8C23×#12312yes—
597D4—22no—
598D4—22no—
599D4—21no—
600D4—21no—
601D4—21no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—161no—
609D4—161no—
610D4C23×#12312yes—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
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—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—161no—
631C2×C4—161no—
632C2×C4—161no—
633C2×C4C22×D4×C2311yescharacteristic
634C2×C4C22×D4×C2311yescharacteristic
635C2×C4C2×#41×C2311yescharacteristic
636C2×C4C2×#41×C2311yescharacteristic
637C2×C4C2×#41×C2311yescharacteristic
638C2×C4C23×2−1+411yescharacteristic
639C8—21no—
640C8—21no—
641C8—21no—
642C8—22no—
643C8—21no—
644C8—41no—
645C8—41no—
646C8—41no—
647C22—21no—
648C22—21no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—82no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—161no—
660C22C23×#53911yescharacteristic
661C22D42×C2311yescharacteristic
662C22C23×#55311yescharacteristic
663C4—22no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—41no—
669C4—81no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4C2×C23×#12311yescharacteristic
674C4C23×#52511yescharacteristic
675C4C23×#54711yescharacteristic
676C4C23×#54811yescharacteristic
677C2—21no—
678C2—21no—
679C2—42no—
680C2—81no—
681C2—161no—
682C2C23×#244311yescharacteristic
683C2C23×#328811yescharacteristic
684C2C23×#329011yescharacteristic
subgroupG/H
center, socleC22×C23D42
commutator, Frattini, cosocleC22×C4C24×C23
prime radicalC23×#3045C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C23 ◁ C22×C4×C23 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×#3096C2semidirect
3. C23×#2952C2semidirect
4. C23×#2913C2semidirect
5. C23×#2092C2semidirect
6. C23×#2090C2semidirect
7. C23×#2078C2semidirect
8. C23×#2037C2semidirect
9. C23×#1931C2semidirect
10. C23×#1922C2semidirect
11. C23×#1907C2semidirect
12. C23×#1883C2semidirect
13. C23×#1876C2semidirect
14. C23×#1860C2semidirect
15. C23×#1860C2semidirect
242. #26195C23direct (N × H)
305. #3096C2×C23semidirect
307. #2952C2×C23semidirect
308. #2913C2×C23semidirect
309. #2092C2×C23semidirect
310. #2090C2×C23semidirect
311. #2078C2×C23semidirect
312. #2037C2×C23semidirect
313. #1931C2×C23semidirect
314. #1922C2×C23semidirect
315. #1907C2×C23semidirect
316. #1883C2×C23semidirect
317. #1876C2×C23semidirect
318. #1860C2×C23semidirect
319. #1860C2×C23semidirect
495. C23#26195direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#30962
C23×#30452
C23×#29522
C23×#29132
C23×#20922
C23×#20902
C23×#20782
C23×#20372
C23×#19312
C23×#19222
C23×#19072
C23×#18832
C23×#18762
C23×#18602
#2619523