Finite Group Databasebeta

← C23×#16601 #19164227

Subgroups — C23×#16601 #19164227

Order 5888.

1750 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C23×C22⋊Q8C211yesmaximal, characteristic
2C2×C23×#400C211yesmaximal, characteristic, complemented
3C2×C23×#395C211yesmaximal, characteristic, complemented
4C2×C23×#385C211yesmaximal, characteristic
5C23×#1446C211yesmaximal, characteristic, complemented
6C23×#1445C211yesmaximal, characteristic, complemented
7C23×#1444C212yesmaximal, complemented
8C23×#1442C212yesmaximal, complemented
9C23×#1440C212yesmaximal
10C23×#1439C212yesmaximal
11C23×C22⋊#95C211yesmaximal, characteristic
12C23×Q8×C23C2211yescharacteristic
13C24×C4×C23C2211yescharacteristic
14C2×C23×C22⋊Q8—24no—
15C2×C23×C22⋊Q8—24no—
16C2×C23×C22⋊Q8—24no—
17C22×C4⋊C4×C23C2212yes—
18C22×C4⋊C4×C23C2211yescharacteristic
19C22×C4⋊C4×C23C2211yescharacteristic
20C22×C4⋊C4×C23C2212yes—
21C22×C4⋊C4×C23C2211yescharacteristic
22C22×C22⋊C4×C23C2212yes—
23C22×C22⋊C4×C23C2212yes—
24C22×C22⋊C4×C23C2211yescharacteristic
25C22×C22⋊C4×C23C2211yescharacteristic
26C23×#400—24no—
27C23×#395—24no—
28C23×#385—24no—
29C2×C23×#95C2211yescharacteristic
30C2×C23×#95C2211yescharacteristic
31C2×C23×#95C2212yes—
32C2×C23×#95C2212yes—
33C2×C23×#95C2212yes—
34C2×C23×#95C2212yes—
35C2×C23×#95C2212yes—
36C2×C23×#95C2211yescharacteristic
37C2×C23×#95C2211yescharacteristic
38C2×C23×#95C2212yes—
39C2×C23×#95C2212yes—
40C2×C23×#95C2212yes—
41C25×C23C2311yescharacteristic
42C22×Q8×C23—22no—
43C22×Q8×C23—22no—
44C22×Q8×C23—42no—
45C22×Q8×C23—42no—
46C22×Q8×C23D414yes—
47C23×C4×C23—22no—
48C23×C4×C23—22no—
49C23×C4×C23—42no—
50C23×C4×C23—42no—
51C23×C4×C23D414yes—
52C23×C4×C23C2311yescharacteristic
53C23×C4×C23C2312yes—
54C23×C4×C23C2311yescharacteristic
55C23×C4×C23C2311yescharacteristic
56C23×C4×C23C2312yes—
57C23×C4×C23C2312yes—
58C23×C4×C23C2311yescharacteristic
59C23×C4×C23C2311yescharacteristic
60C23×C4×C23C2312yes—
61C23×C4×C23C2311yescharacteristic
62C23×C22⋊Q8—232no—
63C2×C4⋊C4×C23—24no—
64C2×C4⋊C4×C23—24no—
65C2×C4⋊C4×C23—24no—
66C2×C4⋊C4×C23—22no—
67C2×C4⋊C4×C23—22no—
68C2×C4⋊C4×C23—22no—
69C2×C4⋊C4×C23—22no—
70C2×C4⋊C4×C23—24no—
71C2×C4⋊C4×C23—22no—
72C2×C4⋊C4×C23—22no—
73C2×C4⋊C4×C23—42no—
74C2×C4⋊C4×C23—42no—
75C2×C4⋊C4×C23—42no—
76C2×C4⋊C4×C23D414yes—
77C2×C22⋊C4×C23—22no—
78C2×C22⋊C4×C23—24no—
79C2×C22⋊C4×C23—22no—
80C2×C22⋊C4×C23—24no—
81C2×C22⋊C4×C23—24no—
82C2×C22⋊C4×C23—22no—
83C2×C22⋊C4×C23—24no—
84C2×C22⋊C4×C23—24no—
85C2×C22⋊C4×C23—42no—
86C2×C22⋊C4×C23—42no—
87C2×C22⋊C4×C23Q814yescomplemented
88C23×#95—22no—
89C23×#95—22no—
90C23×#95—24no—
91C23×#95—22no—
92C23×#95—24no—
93C23×#95—24no—
94C23×#95—22no—
95C23×#95—24no—
96C23×#95—24no—
97C23×#95—42no—
98C23×#95—42no—
99C23×#95—42no—
100C24×C23—21no—
101C24×C23—21no—
102C24×C23—22no—
103C24×C23—22no—
104C24×C23—22no—
105C24×C23—22no—
106C24×C23—21no—
107C24×C23—21no—
108C24×C23C2×D412yes—
109C24×C23C2×Q812yes—
110C24×C23#4112yes—
111C24×C23C2411yescharacteristic
112C2×Q8×C23—28no—
113C2×Q8×C23—48no—
114C2×Q8×C23—44no—
115C2×Q8×C23—44no—
116C2×Q8×C23—48no—
117C22×C4×C23—22no—
118C22×C4×C23—22no—
119C22×C4×C23—22no—
120C22×C4×C23—22no—
121C22×C4×C23—22no—
122C22×C4×C23—22no—
123C22×C4×C23—21no—
124C22×C4×C23—21no—
125C22×C4×C23—21no—
126C22×C4×C23—21no—
127C22×C4×C23—22no—
128C22×C4×C23—21no—
129C22×C4×C23—21no—
130C22×C4×C23—21no—
131C22×C4×C23—21no—
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—22no—
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—21no—
150C22×C4×C23—21no—
151C22×C4×C23—28no—
152C22×C4×C23—21no—
153C22×C4×C23—21no—
154C22×C4×C23—21no—
155C22×C4×C23—21no—
156C22×C4×C23—22no—
157C22×C4×C23—22no—
158C22×C4×C23—22no—
159C22×C4×C23—22no—
160C22×C4×C23—22no—
161C22×C4×C23—22no—
162C22×C4×C23—22no—
163C22×C4×C23—22no—
164C22×C4×C23—22no—
165C22×C4×C23—21no—
166C22×C4×C23—21no—
167C22×C4×C23—22no—
168C22×C4×C23—22no—
169C22×C4×C23—44no—
170C22×C4×C23—44no—
171C22×C4×C23—48no—
172C22×C4×C23—48no—
173C22×C4×C23C2×D414yes—
174C22×C4×C23C2×D414yes—
175C22×C4×C23C2×D412yes—
176C22×C4×C23C2×D412yes—
177C22×C4×C23C2×D412yes—
178C22×C4×C23C2×D412yes—
179C22×C4×C23C2×Q812yes—
180C22×C4×C23C2×Q812yes—
181C22×C4×C23#4114yes—
182C4⋊C4×C23—216no—
183C4⋊C4×C23—28no—
184C4⋊C4×C23—44no—
185C4⋊C4×C23—48no—
186C4⋊C4×C23—44no—
187C22⋊C4×C23—216no—
188C22⋊C4×C23—28no—
189C22⋊C4×C23—48no—
190C22⋊C4×C23—44no—
191#16601C2311yesmaximal, characteristic, direct product factor, Sylow
192C23×C23—22no—
193C23×C23—22no—
194C23×C23—22no—
195C23×C23—22no—
196C23×C23—22no—
197C23×C23—22no—
198C23×C23—24no—
199C23×C23—24no—
200C23×C23—22no—
201C23×C23—22no—
202C23×C23—22no—
203C23×C23—22no—
204C23×C23—24no—
205C23×C23—24no—
206C23×C23—42no—
207C23×C23—42no—
208C23×C23—42no—
209C23×C23—42no—
210C23×C23—42no—
211C23×C23—42no—
212C23×C23—42no—
213C23×C23—42no—
214C23×C23C22⋊Q814yes—
215C23×C23C22×D411yescharacteristic
216C23×C23C22×D411yescharacteristic
217C23×C23C22×D411yescharacteristic
218C23×C23C22×Q811yescharacteristic
219C23×C23C2×#4111yescharacteristic
220C23×C23C2×#4112yes—
221C23×C23H(5,𝔽2)12yes—
222C23×C23H(5,𝔽2)12yes—
223C23×C232−1+411yescharacteristic
224C23×C232−1+412yes—
225C23×C232−1+411yescharacteristic
226Q8×C23—416no—
227C2×C4×C23—22no—
228C2×C4×C23—22no—
229C2×C4×C23—24no—
230C2×C4×C23—24no—
231C2×C4×C23—24no—
232C2×C4×C23—24no—
233C2×C4×C23—22no—
234C2×C4×C23—22no—
235C2×C4×C23—22no—
236C2×C4×C23—22no—
237C2×C4×C23—24no—
238C2×C4×C23—22no—
239C2×C4×C23—24no—
240C2×C4×C23—24no—
241C2×C4×C23—24no—
242C2×C4×C23—24no—
243C2×C4×C23—24no—
244C2×C4×C23—22no—
245C2×C4×C23—22no—
246C2×C4×C23—24no—
247C2×C4×C23—24no—
248C2×C4×C23—416no—
249C2×C4×C23—41no—
250C2×C4×C23—41no—
251C2×C4×C23—42no—
252C2×C4×C23—41no—
253C2×C4×C23—42no—
254C2×C4×C23—42no—
255C2×C4×C23—42no—
256C2×C4×C23—42no—
257C2×C4×C23—42no—
258C2×C4×C23—42no—
259C2×C4×C23—42no—
260C2×C4×C23—41no—
261C2×C4×C23—42no—
262C2×C4×C23—42no—
263C2×C4×C23—41no—
264C2×C4×C23—41no—
265C2×C4×C23—42no—
266C2×C4×C23—42no—
267C2×C4×C23—42no—
268C2×C4×C23—42no—
269C2×C4×C23—42no—
270C2×C4×C23—41no—
271C2×C4×C23—41no—
272C2×C4×C23—41no—
273C2×C4×C23—41no—
274C2×C4×C23—41no—
275C2×C4×C23—42no—
276C2×C4×C23—42no—
277C2×C4×C23—42no—
278C2×C4×C23—41no—
279C2×C4×C23—42no—
280C2×C4×C23—42no—
281C2×C4×C23—42no—
282C2×C4×C23—42no—
283C2×C4×C23—42no—
284C2×C4×C23—42no—
285C2×C4×C23—42no—
286C2×C4×C23—42no—
287C2×C4×C23#12014yes—
288C22×C22⋊Q8C2×C2311yescharacteristic
289C2×#400C2×C2311yescharacteristic, complemented
290C2×#395C2×C2311yescharacteristic, complemented
291C2×#385C2×C2311yescharacteristic
292#1446C2×C2311yescharacteristic, complemented
293#1445C2×C2311yescharacteristic, complemented
294#1444C2×C2312yescomplemented
295#1442C2×C2312yescomplemented
296#1440C2×C2312yes—
297#1439C2×C2312yes—
298C22⋊#95C2×C2311yescharacteristic
299C22×C23—24no—
300C22×C23—24no—
301C22×C23—24no—
302C22×C23—42no—
303C22×C23—42no—
304C22×C23—42no—
305C22×C23—42no—
306C22×C23—44no—
307C22×C23—44no—
308C22×C23—44no—
309C22×C23—44no—
310C22×C23C2×#12011yescharacteristic
311C22×C23C2×C22⋊Q811yescharacteristic
312C22×C23#53211yescharacteristic
313C22×C23#53411yescharacteristic
314C22×C23#53411yescharacteristic
315C22×C23#53412yes—
316C22×C23#53512yes—
317C22×C23#53611yescharacteristic
318C22×C23#53611yescharacteristic
319C22×C23#53912yes—
320C22×C23#53912yes—
321C22×C23#54212yes—
322C22×C23#54412yes—
323C22×C23#54712yes—
324C22×C23#54811yescharacteristic
325C22×C23#54811yescharacteristic
326C22×C23#54812yes—
327C22×C23D4×Q811yescharacteristic
328C22×C23D4×Q811yescharacteristic
329C22×C23#55112yes—
330C22×C23#55412yes—
331C22×C23#56312yes—
332C22×C23#56312yes—
333C4×C23—24no—
334C4×C23—42no—
335C4×C23—42no—
336C4×C23—44no—
337C4×C23—42no—
338C4×C23—44no—
339C4×C23—44no—
340C4×C23—81no—
341C4×C23—81no—
342C4×C23—82no—
343C23×Q8C22×C2311yescharacteristic
344C24×C4C22×C2311yescharacteristic
345C2×C22⋊Q8—24no—
346C2×C22⋊Q8—24no—
347C2×C22⋊Q8—24no—
348C22×C4⋊C4C22×C2311yescharacteristic
349C22×C4⋊C4C22×C2312yes—
350C22×C4⋊C4C22×C2311yescharacteristic
351C22×C4⋊C4C22×C2312yes—
352C22×C4⋊C4C22×C2311yescharacteristic
353C22×C22⋊C4C22×C2312yes—
354C22×C22⋊C4C22×C2312yes—
355C22×C22⋊C4C22×C2311yescharacteristic
356C22×C22⋊C4C22×C2311yescharacteristic
357#400—24no—
358#395—24no—
359#385—24no—
360C2×#95C22×C2311yescharacteristic
361C2×#95C22×C2312yes—
362C2×#95C22×C2311yescharacteristic
363C2×#95C22×C2312yes—
364C2×#95C22×C2312yes—
365C2×#95C22×C2312yes—
366C2×#95C22×C2312yes—
367C2×#95C22×C2311yescharacteristic
368C2×#95C22×C2311yescharacteristic
369C2×#95C22×C2312yes—
370C2×#95C22×C2312yes—
371C2×#95C22×C2312yes—
372C2×C23—44no—
373C2×C23#240911yescharacteristic
374C2×C23#243211yescharacteristic
375C2×C23#256411yescharacteristic
376C2×C23#261311yescharacteristic
377C2×C23#262711yescharacteristic
378C2×C23#266311yescharacteristic
379C2×C23#272012yes—
380C2×C23#272312yes—
381C2×C23#272812yes—
382C2×C23#272912yes—
383C2×C23#281711yescharacteristic
384C25C23×C2311yescharacteristic
385C22×Q8—22no—
386C22×Q8—22no—
387C22×Q8—42no—
388C22×Q8—42no—
389C22×Q8D4×C2314yes—
390C23×C4—22no—
391C23×C4—22no—
392C23×C4—42no—
393C23×C4—42no—
394C23×C4D4×C2314yes—
395C23×C4C23×C2311yescharacteristic
396C23×C4C23×C2312yes—
397C23×C4C23×C2311yescharacteristic
398C23×C4C23×C2312yes—
399C23×C4C23×C2312yes—
400C23×C4C23×C2311yescharacteristic
401C23×C4C23×C2311yescharacteristic
402C23×C4C23×C2311yescharacteristic
403C23×C4C23×C2312yes—
404C23×C4C23×C2311yescharacteristic
405C22⋊Q8—232no—
406C2×C4⋊C4—24no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—42no—
417C2×C4⋊C4—42no—
418C2×C4⋊C4—42no—
419C2×C4⋊C4D4×C2314yes—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—42no—
429C2×C22⋊C4—42no—
430C2×C22⋊C4Q8×C2314yescomplemented
431#95—22no—
432#95—22no—
433#95—24no—
434#95—22no—
435#95—24no—
436#95—22no—
437#95—24no—
438#95—24no—
439#95—24no—
440#95—42no—
441#95—42no—
442#95—42no—
443C23#1660111yescharacteristic, direct product factor, Sylow
444C24—21no—
445C24—21no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—21no—
450C24—21no—
451C24—22no—
452C24C2×D4×C2312yes—
453C24C2×Q8×C2312yes—
454C24#41×C2312yes—
455C24C24×C2311yescharacteristic
456C2×Q8—28no—
457C2×Q8—48no—
458C2×Q8—44no—
459C2×Q8—44no—
460C2×Q8—48no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
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—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—28no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4C2×D4×C2314yes—
518C22×C4C2×D4×C2314yes—
519C22×C4C2×D4×C2312yes—
520C22×C4C2×D4×C2312yes—
521C22×C4C2×D4×C2312yes—
522C22×C4C2×D4×C2312yes—
523C22×C4C2×Q8×C2312yes—
524C22×C4C2×Q8×C2312yes—
525C22×C4#41×C2314yes—
526C4⋊C4—216no—
527C4⋊C4—28no—
528C4⋊C4—44no—
529C4⋊C4—48no—
530C4⋊C4—44no—
531C22⋊C4—216no—
532C22⋊C4—28no—
533C22⋊C4—48no—
534C22⋊C4—44no—
535C23—22no—
536C23—22no—
537C23—22no—
538C23—22no—
539C23—24no—
540C23—24no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—24no—
548C23—24no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23C23×C22⋊Q814yes—
558C23C22×D4×C2311yescharacteristic
559C23C22×D4×C2311yescharacteristic
560C23C22×D4×C2311yescharacteristic
561C23C22×Q8×C2311yescharacteristic
562C23C2×#41×C2312yes—
563C23C2×#41×C2311yescharacteristic
564C23C23×H(5,𝔽2)12yes—
565C23C23×H(5,𝔽2)12yes—
566C23C23×2−1+412yes—
567C23C23×2−1+411yescharacteristic
568C23C23×2−1+411yescharacteristic
569Q8—416no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—416no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4C23×#12014yes—
631C22—24no—
632C22—24no—
633C22—24no—
634C22—42no—
635C22—42no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22—42no—
641C22—42no—
642C22C2×C23×#12011yescharacteristic
643C22C2×C23×C22⋊Q811yescharacteristic
644C22C23×#53211yescharacteristic
645C22C23×#53411yescharacteristic
646C22C23×#53412yes—
647C22C23×#53411yescharacteristic
648C22C23×#53512yes—
649C22C23×#53611yescharacteristic
650C22C23×#53611yescharacteristic
651C22C23×#53912yes—
652C22C23×#53912yes—
653C22C23×#54212yes—
654C22C23×#54412yes—
655C22C23×#54712yes—
656C22C23×#54811yescharacteristic
657C22C23×#54811yescharacteristic
658C22C23×#54812yes—
659C22D4×Q8×C2311yescharacteristic
660C22D4×Q8×C2311yescharacteristic
661C22C23×#55112yes—
662C22C23×#55412yes—
663C22C23×#56312yes—
664C22C23×#56312yes—
665C4—24no—
666C4—42no—
667C4—44no—
668C4—44no—
669C4—42no—
670C4—42no—
671C4—44no—
672C4—81no—
673C4—82no—
674C4—81no—
675C2—44no—
676C2C23×#240911yescharacteristic
677C2C23×#243211yescharacteristic
678C2C23×#256411yescharacteristic
679C2C23×#261311yescharacteristic
680C2C23×#262711yescharacteristic
681C2C23×#266311yescharacteristic
682C2C23×#272012yes—
683C2C23×#272312yes—
684C2C23×#272812yes—
685C2C23×#272912yes—
686C2C23×#281711yescharacteristic
subgroupG/H
center, socleC24×C23C24
commutator, Frattini, cosocleC24C24×C23
prime radicalC25×C23C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C23 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C23×#400C2semidirect
3. C2×C23×#395C2semidirect
5. C23×#1446C2semidirect
6. C23×#1445C2semidirect
7. C23×#1444C2semidirect
8. C23×#1442C2semidirect
87. C2×C22⋊C4×C23Q8semidirect
191. #16601C23direct (N × H)
289. C2×#400C2×C23semidirect
290. C2×#395C2×C23semidirect
292. #1446C2×C23semidirect
293. #1445C2×C23semidirect
294. #1444C2×C23semidirect
295. #1442C2×C23semidirect
430. C2×C22⋊C4Q8×C23semidirect
443. C23#16601direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C23×C22⋊Q82
C2×C23×#4002
C2×C23×#3952
C2×C23×#3852
C23×#14462
C23×#14452
C23×#14442
C23×#14422
C23×#14402
C23×#14392
C23×C22⋊#952
#1660123