Finite Group Databasebeta

← C23×#8408 #19156034

Subgroups — C23×#8408 #19156034

Order 5888.

1040 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C23×#538C211yesmaximal, characteristic
2C23×#1874C211yesmaximal, characteristic, complemented
3C23×#1872C211yesmaximal, characteristic, complemented
4C2×C23×#328C211yesmaximal, characteristic, complemented
5C2×C23×#327C211yesmaximal, characteristic, complemented
6C2×C23×#323C211yesmaximal, characteristic, complemented
7C23×#1439C211yesmaximal, characteristic, complemented
8C23×#538—22no—
9C23×#538—22no—
10C23×#538—22no—
11C23×#538C414yescomplemented
12C2×C23×#126—21no—
13C2×C23×#124—21no—
14C2×C23×#123—21no—
15C2×C23×C22⋊Q8C2211yescharacteristic
16C2×C23×#121—21no—
17C2×C23×#121C2211yescharacteristic
18C2×C23×#120—21no—
19C2×C4×D4×C23—21no—
20C22×C4⋊C4×C23C2211yescharacteristic
21C22×C22⋊C4×C23—21no—
22C22×C22⋊C4×C23C2211yescharacteristic
23C2×C23×#103—21no—
24C2×C23×#102—21no—
25C2×C23×C22⋊C8C2211yescharacteristic
26C2×C23×C22⋊C8C2211yescharacteristic
27C2×C23×#95—21no—
28C2×C23×#95C2211yescharacteristic
29C23×#340—21no—
30C23×#340—21no—
31C23×#328—22no—
32C23×#327—22no—
33C23×#323—22no—
34C25×C23D411yescharacteristic
35C22×Q8×C23D411yescharacteristic
36C22×D4×C23—21no—
37C22×D4×C23—21no—
38C22×D4×C23—21no—
39C22×D4×C23D411yescharacteristic
40C23×C4×C23—21no—
41C23×C4×C23—21no—
42C23×C4×C23—21no—
43C23×C4×C23D411yescharacteristic
44C23×C4×C23C2311yescharacteristic
45C22×C8×C23—21no—
46C22×C8×C23—21no—
47C23×#126—24no—
48C23×#126—24no—
49C23×#124—24no—
50C23×#124—24no—
51C23×#123—24no—
52C23×#123—24no—
53C23×C22⋊Q8—21no—
54C23×C22⋊Q8—21no—
55C23×C22⋊Q8C2×C412yes—
56C23×C22⋊Q8D412yes—
57C23×#121—24no—
58C23×#121—24no—
59C23×#121—21no—
60C23×#121—21no—
61C23×#121C2×C412yes—
62C23×#121D412yes—
63C23×#120—24no—
64C23×#120—24no—
65C4×D4×C23—24no—
66C4×D4×C23—24no—
67C2×C4⋊C4×C23—21no—
68C2×C4⋊C4×C23—21no—
69C2×C4⋊C4×C23—21no—
70C2×C4⋊C4×C23—21no—
71C2×C4⋊C4×C23—42no—
72C2×C4⋊C4×C23D411yescharacteristic
73C2×C4⋊C4×C23D411yescharacteristic
74C2×C22⋊C4×C23—21no—
75C2×C22⋊C4×C23—21no—
76C2×C22⋊C4×C23—21no—
77C2×C22⋊C4×C23—21no—
78C2×C22⋊C4×C23—21no—
79C2×C22⋊C4×C23—21no—
80C2×C22⋊C4×C23—21no—
81C2×C22⋊C4×C23—21no—
82C2×C22⋊C4×C23—21no—
83C2×C22⋊C4×C23—42no—
84C2×C22⋊C4×C23—42no—
85C2×C22⋊C4×C23—42no—
86C2×C22⋊C4×C23C2×C412yes—
87C2×C22⋊C4×C23D412yes—
88C2×C42×C23—21no—
89C23×#103—42no—
90C23×#102—42no—
91C23×C22⋊C8—21no—
92C23×C22⋊C8—21no—
93C23×C22⋊C8—21no—
94C23×C22⋊C8—21no—
95C23×#95—21no—
96C23×#95—21no—
97C23×#95—42no—
98C24×C23—21no—
99C24×C23—21no—
100C24×C23—21no—
101C24×C23—21no—
102C24×C23—21no—
103C24×C23—21no—
104C24×C23—21no—
105C24×C23—41no—
106C24×C23—41no—
107C24×C23—41no—
108C24×C23—41no—
109C24×C23C22⋊C412yes—
110C24×C23C2×D411yescharacteristic
111C2×Q8×C23—21no—
112C2×Q8×C23—41no—
113C2×Q8×C23—41no—
114C2×Q8×C23C22⋊C412yescomplemented
115C2×D4×C23—22no—
116C2×D4×C23—22no—
117C2×D4×C23—24no—
118C2×D4×C23—24no—
119C2×D4×C23—21no—
120C2×D4×C23—41no—
121C2×D4×C23—41no—
122C2×D4×C23—41no—
123C2×D4×C23—41no—
124C2×D4×C23—41no—
125C2×D4×C23—41no—
126C2×D4×C23—81no—
127C2×D4×C23—81no—
128C2×D4×C23—81no—
129C2×D4×C23—81no—
130C2×D4×C23C22⋊C412yescomplemented
131C22×C4×C23—21no—
132C22×C4×C23—21no—
133C22×C4×C23—21no—
134C22×C4×C23—21no—
135C22×C4×C23—24no—
136C22×C4×C23—21no—
137C22×C4×C23—22no—
138C22×C4×C23—22no—
139C22×C4×C23—41no—
140C22×C4×C23—41no—
141C22×C4×C23—41no—
142C22×C4×C23—41no—
143C22×C4×C23—41no—
144C22×C4×C23—41no—
145C22×C4×C23—41no—
146C22×C4×C23—41no—
147C22×C4×C23—41no—
148C22×C4×C23—41no—
149C22×C4×C23—41no—
150C22×C4×C23—41no—
151C22×C4×C23—41no—
152C22×C4×C23—41no—
153C22×C4×C23—41no—
154C22×C4×C23—41no—
155C22×C4×C23—81no—
156C22×C4×C23—81no—
157C22×C4×C23C22⋊C412yes—
158C22×C4×C23C22×C411yescharacteristic
159C22×C4×C23C2×D411yescharacteristic
160C22×C4×C23C2×D411yescharacteristic
161C22×C4×C23C2×D411yescharacteristic
162C22×C4×C23C2×D411yescharacteristic
163C22×C4×C23C2×D411yescharacteristic
164C2×C8×C23—41no—
165C2×C8×C23—41no—
166C2×C8×C23—41no—
167C2×C8×C23—41no—
168C2×C8×C23—41no—
169C2×C8×C23—41no—
170C4⋊C4×C23—24no—
171C4⋊C4×C23—22no—
172C4⋊C4×C23—22no—
173C4⋊C4×C23—21no—
174C4⋊C4×C23—21no—
175C4⋊C4×C23—22no—
176C4⋊C4×C23—22no—
177C4⋊C4×C23—41no—
178C4⋊C4×C23—41no—
179C4⋊C4×C23C22⋊C412yescomplemented
180C4⋊C4×C23C22⋊C412yescomplemented
181C22⋊C4×C23—24no—
182C22⋊C4×C23—24no—
183C22⋊C4×C23—24no—
184C22⋊C4×C23—22no—
185C22⋊C4×C23—22no—
186C22⋊C4×C23—22no—
187C22⋊C4×C23—22no—
188C22⋊C4×C23—22no—
189C22⋊C4×C23—22no—
190C22⋊C4×C23—22no—
191C22⋊C4×C23—22no—
192C22⋊C4×C23—48no—
193C42×C23—24no—
194#8408C2311yesmaximal, characteristic, direct product factor, Sylow
195C23×C23—21no—
196C23×C23—21no—
197C23×C23—21no—
198C23×C23—21no—
199C23×C23—22no—
200C23×C23—22no—
201C23×C23—22no—
202C23×C23—22no—
203C23×C23—42no—
204C23×C23—42no—
205C23×C23—42no—
206C23×C23—42no—
207C23×C23—42no—
208C23×C23—42no—
209C23×C23—41no—
210C23×C23—41no—
211C23×C23—41no—
212C23×C23—41no—
213C23×C23—41no—
214C23×C23—41no—
215C23×C23—41no—
216C23×C23—41no—
217C23×C23—41no—
218C23×C23—41no—
219C23×C23—41no—
220C23×C23—41no—
221C23×C23—41no—
222C23×C23—41no—
223C23×C23—81no—
224C23×C23—81no—
225C23×C23—81no—
226C23×C23—81no—
227C23×C23—81no—
228C23×C23—81no—
229C23×C23C2×C22⋊C411yescharacteristic
230C23×C23#12011yescharacteristic
231C23×C23#12011yescharacteristic
232C23×C23#13511yescharacteristic
233C23×C23#13511yescharacteristic
234C23×C23AGL(1,ℤ/8)11yescharacteristic
235C23×C23#13711yescharacteristic
236Q8×C23—42no—
237Q8×C23—81no—
238D4×C23—42no—
239D4×C23—42no—
240D4×C23—42no—
241D4×C23—42no—
242D4×C23—42no—
243D4×C23—81no—
244D4×C23—84no—
245D4×C23—84no—
246C2×C4×C23—21no—
247C2×C4×C23—21no—
248C2×C4×C23—21no—
249C2×C4×C23—21no—
250C2×C4×C23—22no—
251C2×C4×C23—22no—
252C2×C4×C23—22no—
253C2×C4×C23—22no—
254C2×C4×C23—41no—
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—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—81no—
274C2×C4×C23—84no—
275C2×C4×C23—81no—
276C2×C4×C23—81no—
277C2×C4×C23—81no—
278C2×C4×C23—81no—
279C2×C4×C23—81no—
280C2×C4×C23—81no—
281C2×C4×C23—81no—
282C2×C4×C23—81no—
283C2×C4×C23C2×C22⋊C411yescharacteristic
284C2×C4×C23C2×C22⋊C411yescharacteristic
285C2×C4×C23#12011yescharacteristic
286C2×C4×C23#12011yescharacteristic
287C8×C23—81no—
288C8×C23—81no—
289C2×#538C2×C2311yescharacteristic
290#1874C2×C2311yescharacteristic, complemented
291#1872C2×C2311yescharacteristic, complemented
292C2×#328C2×C2311yescharacteristic, complemented
293C2×#327C2×C2311yescharacteristic, complemented
294C2×#323C2×C2311yescharacteristic, complemented
295#1439C2×C2311yescharacteristic, complemented
296C22×C23—21no—
297C22×C23—21no—
298C22×C23—21no—
299C22×C23—21no—
300C22×C23—21no—
301C22×C23—21no—
302C22×C23—21no—
303C22×C23—21no—
304C22×C23—21no—
305C22×C23—21no—
306C22×C23—21no—
307C22×C23—21no—
308C22×C23—44no—
309C22×C23—42no—
310C22×C23—42no—
311C22×C23—42no—
312C22×C23—42no—
313C22×C23—42no—
314C22×C23—42no—
315C22×C23—82no—
316C22×C23—82no—
317C22×C23—82no—
318C22×C23—81no—
319C22×C23—81no—
320C22×C23—81no—
321C22×C23—81no—
322C22×C23—81no—
323C22×C23—81no—
324C22×C23—81no—
325C22×C23—81no—
326C22×C23#37911yescharacteristic
327C22×C23#41611yescharacteristic
328C22×C23#41711yescharacteristic
329C22×C23#44911yescharacteristic
330C22×C23#44911yescharacteristic
331C22×C23#45211yescharacteristic
332C22×C23#45211yescharacteristic
333C22×C23#45311yescharacteristic
334C22×C23#45511yescharacteristic
335C22×C23B(4,𝔽2)11yescharacteristic
336C22×C23#45811yescharacteristic
337C4×C23—21no—
338C4×C23—21no—
339C4×C23—21no—
340C4×C23—21no—
341C4×C23—42no—
342C4×C23—42no—
343C4×C23—42no—
344C4×C23—42no—
345C4×C23—82no—
346C4×C23—82no—
347#538—22no—
348#538—22no—
349#538—22no—
350#538C4×C2314yescomplemented
351C2×#126—21no—
352C2×#124—21no—
353C2×#123—21no—
354C2×C22⋊Q8C22×C2311yescharacteristic
355C2×#121—21no—
356C2×#121C22×C2311yescharacteristic
357C2×#120—21no—
358C2×C4×D4—21no—
359C22×C4⋊C4C22×C2311yescharacteristic
360C22×C22⋊C4—21no—
361C22×C22⋊C4C22×C2311yescharacteristic
362C2×#103—21no—
363C2×#102—21no—
364C2×C22⋊C8C22×C2311yescharacteristic
365C2×C22⋊C8C22×C2311yescharacteristic
366C2×#95—21no—
367C2×#95C22×C2311yescharacteristic
368#340—21no—
369#340—21no—
370#328—22no—
371#327—22no—
372#323—22no—
373C2×C23—21no—
374C2×C23—21no—
375C2×C23—21no—
376C2×C23—21no—
377C2×C23—82no—
378C2×C23—82no—
379C2×C23#160011yescharacteristic
380C2×C23#160611yescharacteristic
381C2×C23#161211yescharacteristic
382C2×C23#161811yescharacteristic
383C2×C23#178811yescharacteristic
384C2×C23#179011yescharacteristic
385C2×C23#179211yescharacteristic
386C25D4×C2311yescharacteristic
387C22×Q8D4×C2311yescharacteristic
388C22×D4—21no—
389C22×D4—21no—
390C22×D4—21no—
391C22×D4D4×C2311yescharacteristic
392C23×C4—21no—
393C23×C4—21no—
394C23×C4—21no—
395C23×C4D4×C2311yescharacteristic
396C23×C4C23×C2311yescharacteristic
397C22×C8—21no—
398C22×C8—21no—
399#126—24no—
400#126—24no—
401#124—24no—
402#124—24no—
403#123—24no—
404#123—24no—
405C22⋊Q8—21no—
406C22⋊Q8—21no—
407C22⋊Q8C2×C4×C2312yes—
408C22⋊Q8D4×C2312yes—
409#121—24no—
410#121—24no—
411#121—21no—
412#121—21no—
413#121C2×C4×C2312yes—
414#121D4×C2312yes—
415#120—24no—
416#120—24no—
417C4×D4—24no—
418C4×D4—24no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—42no—
424C2×C4⋊C4D4×C2311yescharacteristic
425C2×C4⋊C4D4×C2311yescharacteristic
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
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⋊C4—42no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4C2×C4×C2312yes—
439C2×C22⋊C4D4×C2312yes—
440C2×C42—21no—
441#103—42no—
442#102—42no—
443C22⋊C8—21no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447#95—21no—
448#95—21no—
449#95—42no—
450C23#840811yescharacteristic, direct product factor, Sylow
451C24—21no—
452C24—21no—
453C24—21no—
454C24—21no—
455C24—21no—
456C24—21no—
457C24—21no—
458C24—41no—
459C24—41no—
460C24—41no—
461C24—41no—
462C24C22⋊C4×C2312yes—
463C24C2×D4×C2311yescharacteristic
464C2×Q8—21no—
465C2×Q8—41no—
466C2×Q8—41no—
467C2×Q8C22⋊C4×C2312yescomplemented
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—41no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—41no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4—81no—
482C2×D4—81no—
483C2×D4C22⋊C4×C2312yescomplemented
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4C22⋊C4×C2312yes—
511C22×C4C22×C4×C2311yescharacteristic
512C22×C4C2×D4×C2311yescharacteristic
513C22×C4C2×D4×C2311yescharacteristic
514C22×C4C2×D4×C2311yescharacteristic
515C22×C4C2×D4×C2311yescharacteristic
516C22×C4C2×D4×C2311yescharacteristic
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C4⋊C4—24no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4C22⋊C4×C2312yescomplemented
533C4⋊C4C22⋊C4×C2312yescomplemented
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—48no—
546C42—24no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—81no—
576C23—81no—
577C23—81no—
578C23—81no—
579C23—81no—
580C23—81no—
581C23C2×C22⋊C4×C2311yescharacteristic
582C23C23×#12011yescharacteristic
583C23C23×#12011yescharacteristic
584C23C23×#13511yescharacteristic
585C23C23×#13511yescharacteristic
586C23C23×AGL(1,ℤ/8)11yescharacteristic
587C23C23×#13711yescharacteristic
588Q8—42no—
589Q8—81no—
590D4—42no—
591D4—42no—
592D4—42no—
593D4—42no—
594D4—42no—
595D4—81no—
596D4—84no—
597D4—84no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—81no—
626C2×C4—84no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4C2×C22⋊C4×C2311yescharacteristic
636C2×C4C2×C22⋊C4×C2311yescharacteristic
637C2×C4C23×#12011yescharacteristic
638C2×C4C23×#12011yescharacteristic
639C8—81no—
640C8—81no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—21no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—44no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22C23×#37911yescharacteristic
672C22C23×#41611yescharacteristic
673C22C23×#41711yescharacteristic
674C22C23×#44911yescharacteristic
675C22C23×#44911yescharacteristic
676C22C23×#45211yescharacteristic
677C22C23×#45211yescharacteristic
678C22C23×#45311yescharacteristic
679C22C23×#45511yescharacteristic
680C22C23×B(4,𝔽2)11yescharacteristic
681C22C23×#45811yescharacteristic
682C4—21no—
683C4—21no—
684C4—21no—
685C4—21no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—82no—
691C4—82no—
692C2—21no—
693C2—21no—
694C2—21no—
695C2—21no—
696C2—82no—
697C2—82no—
698C2C23×#160011yescharacteristic
699C2C23×#160611yescharacteristic
700C2C23×#161211yescharacteristic
701C2C23×#161811yescharacteristic
702C2C23×#178811yescharacteristic
703C2C23×#179011yescharacteristic
704C2C23×#179211yescharacteristic
subgroupG/H
center, socleC23×C23#120
commutatorC22×C4C22×C4×C23
Frattini, cosocleC23×C4C23×C23
prime radicalC2×C23×#538C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23×C23 ◁ C23×C4×C23 ◁ G

Complements

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

NH ≅ G/Ntype
2. C23×#1874C2semidirect
3. C23×#1872C2semidirect
4. C2×C23×#328C2semidirect
5. C2×C23×#327C2semidirect
6. C2×C23×#323C2semidirect
7. C23×#1439C2semidirect
11. C23×#538C4semidirect
114. C2×Q8×C23C22⋊C4semidirect
130. C2×D4×C23C22⋊C4semidirect
179. C4⋊C4×C23C22⋊C4semidirect
180. C4⋊C4×C23C22⋊C4semidirect
194. #8408C23direct (N × H)
290. #1874C2×C23semidirect
291. #1872C2×C23semidirect
292. C2×#328C2×C23semidirect
293. C2×#327C2×C23semidirect
294. C2×#323C2×C23semidirect
295. #1439C2×C23semidirect
350. #538C4×C23semidirect
450. C23#8408direct (N × H)
467. C2×Q8C22⋊C4×C23semidirect
483. C2×D4C22⋊C4×C23semidirect
532. C4⋊C4C22⋊C4×C23semidirect
533. C4⋊C4C22⋊C4×C23semidirect

Maximal subgroups

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

subgroupindex
C2×C23×#5382
C23×#18742
C23×#18722
C2×C23×#3282
C2×C23×#3272
C2×C23×#3232
C23×#14392
#840823