Finite Group Databasebeta

← #555961

Subgroups — #555961

Order 512.

3538 conjugacy classes of subgroups.

The subgroup lattice has 751 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2315C211yesmaximal, characteristic
2C2×#2312C211yesmaximal, characteristic
3C22×#388C211yesmaximal, characteristic
4#14686C211yesmaximal, characteristic, complemented
5#14682C211yesmaximal, characteristic, complemented
6#14488C214yesmaximal, complemented
7#14442C214yesmaximal, complemented
8#14405C214yesmaximal, complemented
9#14403C214yesmaximal, complemented
10#14353C211yesmaximal, characteristic, complemented
11#14347C211yesmaximal, characteristic, complemented
12#13908C212yesmaximal, complemented
13#13907C212yesmaximal, complemented
14#13877C212yesmaximal
15#13877C212yesmaximal
16C23×C4⋊C4C2211yescharacteristic
17C23×C22⋊C4C2212yes—
18C23×C22⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C42C2211yescharacteristic
22#2315—28no—
23#2312—28no—
24C2×#389C2214yescomplemented
25C2×#388C4116yescomplemented
26C2×#388C2214yes—
27C2×#388C2214yes—
28C2×#388C2212yes—
29C2×#388C2212yes—
30C2×#388C2212yes—
31C2×#388C2212yes—
32C2×#385C2214yes—
33C2×#385C2214yes—
34C2×#385C2214yes—
35C2×#385C2214yes—
36C2×#384C2212yescomplemented
37C2×#382C2212yescomplemented
38C2×#380C2211yescharacteristic
39C2×#380C2211yescharacteristic
40C2×#380C2212yes—
41C2×#380C2211yescharacteristic
42C2×#380C2211yescharacteristic
43C2×#380C2212yes—
44C2×#380C2212yes—
45C2×#380C2212yes—
46C2×#380C2212yes—
47C2×#379C2212yes—
48C2×C4×C22⋊C4C2212yes—
49C22×#95C2211yescharacteristic
50C22×#95C2211yescharacteristic
51#1444C2214yescomplemented
52#1444C2214yescomplemented
53#1444C2214yescomplemented
54#1442C2214yescomplemented
55#1442C2214yescomplemented
56#1442C2214yescomplemented
57#1441C2214yescomplemented
58#1441C2214yescomplemented
59#1439C2214yes—
60#1439C2214yes—
61#1439C2214yes—
62#1439C2214yes—
63#1436C2214yescomplemented
64#1436C2214yescomplemented
65C4⋊#95C2212yescomplemented
66C4⋊#95C2214yescomplemented
67C4⋊#95C2212yescomplemented
68C4⋊#95C2212yescomplemented
69C4⋊#95C2212yescomplemented
70#1434C2212yescomplemented
71#1434C2212yescomplemented
72C22⋊#95C2212yes—
73C22⋊#95C2212yes—
74C22⋊#95C2214yes—
75C22⋊#95C2212yes—
76C22⋊#95C2212yes—
77C22⋊#95C2214yes—
78C26C2311yescharacteristic
79C24×C4C2311yescharacteristic
80C24×C4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2314yes—
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C22×C4⋊C4—44no—
87C22×C4⋊C4C2×C418yescomplemented
88C22×C4⋊C4C2312yes—
89C22×C4⋊C4C2314yes—
90C22×C4⋊C4C2314yes—
91C22×C4⋊C4C2312yes—
92C22×C4⋊C4C2312yes—
93C22×C4⋊C4C2314yes—
94C22×C4⋊C4C2312yes—
95C22×C4⋊C4C2312yes—
96C22×C4⋊C4C2314yes—
97C22×C4⋊C4C2314yes—
98C22×C4⋊C4C2312yes—
99C22×C22⋊C4—28no—
100C22×C22⋊C4—44no—
101C22×C22⋊C4—44no—
102C22×C22⋊C4—44no—
103C22×C22⋊C4—44no—
104C22×C22⋊C4C2×C418yes—
105C22×C22⋊C4C2×C418yes—
106C22×C22⋊C4C2×C418yes—
107C22×C22⋊C4D418yes—
108C22×C22⋊C4Q818yes—
109C22×C22⋊C4C2312yes—
110C22×C22⋊C4C2312yes—
111C22×C22⋊C4C2312yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C42—44no—
123C22×C42C2×C418yescomplemented
124C22×C42C2311yescharacteristic
125C22×C42C2311yescharacteristic
126C22×C42C2314yes—
127C22×C42C2311yescharacteristic
128C22×C42C2311yescharacteristic
129#389—48no—
130#388—216no—
131#388—216no—
132#388C2×C4116yescomplemented
133#388C2×C4116yescomplemented
134#388C2×C4116yescomplemented
135#388C2×C4116yescomplemented
136#385—216no—
137#385—216no—
138#385—48no—
139#385—48no—
140#384—44no—
141#382—44no—
142#380—24no—
143#380—24no—
144#380—28no—
145#380—24no—
146#380—24no—
147#380—44no—
148#380—44no—
149#380—44no—
150#380—44no—
151#379—28no—
152C4×C22⋊C4—28no—
153C2×#95C2×C418yescomplemented
154C2×#95C2×C418yescomplemented
155C2×#95C2314yes—
156C2×#95C2314yes—
157C2×#95C2312yes—
158C2×#95C2312yes—
159C2×#95C2312yes—
160C2×#95C2312yes—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C25—22no—
178C25—22no—
179C25—22no—
180C25—22no—
181C25—42no—
182C25—42no—
183C25—42no—
184C25—42no—
185C25C22×C414yes—
186C25C2×D414yes—
187C25C2×Q814yes—
188C25C2412yes—
189C25C2411yescharacteristic
190C23×C4—22no—
191C23×C4—22no—
192C23×C4—22no—
193C23×C4—22no—
194C23×C4—22no—
195C23×C4—22no—
196C23×C4—22no—
197C23×C4—22no—
198C23×C4—24no—
199C23×C4—24no—
200C23×C4—28no—
201C23×C4—42no—
202C23×C4—42no—
203C23×C4—42no—
204C23×C4—42no—
205C23×C4—42no—
206C23×C4—42no—
207C23×C4—42no—
208C23×C4—42no—
209C23×C4—44no—
210C23×C4—44no—
211C23×C4—42no—
212C23×C4—42no—
213C23×C4—44no—
214C23×C4—44no—
215C23×C4—44no—
216C23×C4—44no—
217C23×C4C22×C414yes—
218C23×C4C22×C414yes—
219C23×C4C22×C414yes—
220C23×C4C22×C414yes—
221C23×C4C22×C414yes—
222C23×C4C22×C414yes—
223C23×C4C2×D414yes—
224C23×C4C2×D414yes—
225C23×C4C2×Q814yes—
226C23×C4C2×Q814yes—
227C23×C4C2414yes—
228C23×C4C2414yes—
229C23×C4C2414yes—
230C23×C4C2414yes—
231C23×C4C2412yes—
232C23×C4C2412yes—
233C23×C4C2411yescharacteristic
234C23×C4C2411yescharacteristic
235C23×C4C2411yescharacteristic
236C23×C4C2411yescharacteristic
237C23×C4C2412yes—
238C23×C4C2411yescharacteristic
239C23×C4C2411yescharacteristic
240C2×C4⋊C4—28no—
241C2×C4⋊C4—28no—
242C2×C4⋊C4—24no—
243C2×C4⋊C4—24no—
244C2×C4⋊C4—24no—
245C2×C4⋊C4—24no—
246C2×C4⋊C4—28no—
247C2×C4⋊C4—28no—
248C2×C4⋊C4—416no—
249C2×C4⋊C4—44no—
250C2×C4⋊C4—44no—
251C2×C4⋊C4—42no—
252C2×C4⋊C4—42no—
253C2×C4⋊C4—44no—
254C2×C4⋊C4—42no—
255C2×C4⋊C4—42no—
256C2×C4⋊C4—44no—
257C2×C4⋊C4—44no—
258C2×C4⋊C4—44no—
259C2×C4⋊C4—44no—
260C2×C4⋊C4—44no—
261C2×C4⋊C4—42no—
262C2×C4⋊C4—42no—
263C2×C4⋊C4—42no—
264C2×C4⋊C4—44no—
265C2×C4⋊C4—42no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—44no—
268C2×C4⋊C4—44no—
269C2×C4⋊C4—44no—
270C2×C4⋊C4C22×C418yes—
271C2×C4⋊C4C22×C418yes—
272C2×C22⋊C4—28no—
273C2×C22⋊C4—28no—
274C2×C22⋊C4—24no—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—28no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—24no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—416no—
290C2×C22⋊C4—416no—
291C2×C22⋊C4—44no—
292C2×C22⋊C4—44no—
293C2×C22⋊C4—44no—
294C2×C22⋊C4—44no—
295C2×C22⋊C4—432no—
296C2×C22⋊C4—44no—
297C2×C22⋊C4—44no—
298C2×C22⋊C4—44no—
299C2×C22⋊C4—44no—
300C2×C22⋊C4C4⋊C4164yescomplemented
301C2×C22⋊C4C22×C418yes—
302C2×C22⋊C4C22×C418yes—
303C2×C22⋊C4C22×C418yes—
304C2×C22⋊C4C22×C418yes—
305C2×C22⋊C4C22×C418yes—
306C2×C22⋊C4C22×C418yes—
307C2×C22⋊C4C2×D418yes—
308C2×C22⋊C4C2×D418yes—
309C2×C22⋊C4C2×Q818yes—
310C2×C22⋊C4C2×Q818yes—
311C2×C42—24no—
312C2×C42—24no—
313C2×C42—28no—
314C2×C42—416no—
315C2×C42—42no—
316C2×C42—42no—
317C2×C42—44no—
318C2×C42—44no—
319C2×C42C22×C414yes—
320C2×C42C22×C414yes—
321C2×C42C22×C414yes—
322C2×C42C22×C414yes—
323#95—28no—
324#95—28no—
325#95—24no—
326#95—24no—
327#95—24no—
328#95—24no—
329#95—28no—
330#95—28no—
331#95—44no—
332#95—44no—
333#95—44no—
334#95—44no—
335#95—44no—
336#95—44no—
337#95—44no—
338#95—44no—
339#95—44no—
340#95—44no—
341#95C22×C418yes—
342#95C22×C418yes—
343#95C22×C418yes—
344#95C22×C418yes—
345C24—22no—
346C24—22no—
347C24—22no—
348C24—22no—
349C24—24no—
350C24—24no—
351C24—22no—
352C24—22no—
353C24—22no—
354C24—22no—
355C24—24no—
356C24—24no—
357C24—28no—
358C24—28no—
359C24—28no—
360C24—28no—
361C24—28no—
362C24—28no—
363C24—44no—
364C24—44no—
365C24—44no—
366C24—44no—
367C24—48no—
368C24—48no—
369C24—48no—
370C24—48no—
371C24—84no—
372C24—84no—
373C24—84no—
374C24—84no—
375C24—84no—
376C24—84no—
377C24—84no—
378C24—84no—
379C24C2×C4⋊C4116yes—
380C24C23×C414yes—
381C24C23×C412yes—
382C24C22×D414yes—
383C24C22×D412yes—
384C24C22×Q814yes—
385C24C22×Q812yes—
386C24H(5,𝔽2)12yes—
387C24H(5,𝔽2)12yes—
388C242−1+412yes—
389C242−1+412yes—
390C24C2511yescharacteristic
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—24no—
395C22×C4—21no—
396C22×C4—21no—
397C22×C4—21no—
398C22×C4—21no—
399C22×C4—24no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—28no—
404C22×C4—28no—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—24no—
411C22×C4—24no—
412C22×C4—24no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—24no—
421C22×C4—28no—
422C22×C4—28no—
423C22×C4—28no—
424C22×C4—28no—
425C22×C4—24no—
426C22×C4—24no—
427C22×C4—24no—
428C22×C4—24no—
429C22×C4—24no—
430C22×C4—24no—
431C22×C4—24no—
432C22×C4—24no—
433C22×C4—24no—
434C22×C4—24no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—44no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—44no—
457C22×C4—44no—
458C22×C4—44no—
459C22×C4—48no—
460C22×C4—48no—
461C22×C4—48no—
462C22×C4—48no—
463C22×C4—44no—
464C22×C4—44no—
465C22×C4—44no—
466C22×C4—44no—
467C22×C4—48no—
468C22×C4—48no—
469C22×C4—48no—
470C22×C4—48no—
471C22×C4—416no—
472C22×C4—84no—
473C22×C4—84no—
474C22×C4—84no—
475C22×C4—84no—
476C22×C4—88no—
477C22×C4—88no—
478C22×C4—88no—
479C22×C4—88no—
480C22×C4—88no—
481C22×C4—88no—
482C22×C4C2×C4⋊C4116yes—
483C22×C4C2×C4⋊C4116yes—
484C22×C4C23×C414yes—
485C22×C4C23×C412yes—
486C22×C4C23×C414yes—
487C22×C4C23×C412yes—
488C22×C4C23×C412yes—
489C22×C4C23×C412yes—
490C22×C4C23×C414yes—
491C22×C4C23×C412yes—
492C22×C4C23×C412yes—
493C22×C4C22×D414yes—
494C22×C4C22×D412yes—
495C22×C4C22×D412yes—
496C22×C4C22×Q812yes—
497C22×C4C22×Q812yes—
498C22×C4C22×Q814yes—
499C22×C4H(5,𝔽2)14yes—
500C22×C4H(5,𝔽2)14yes—
501C4⋊C4—216no—
502C4⋊C4—48no—
503C4⋊C4—88no—
504C4⋊C4—84no—
505C4⋊C4—84no—
506C4⋊C4—84no—
507C4⋊C4—84no—
508C4⋊C4—88no—
509C4⋊C4—88no—
510C4⋊C4—88no—
511C4⋊C4—88no—
512C22⋊C4—216no—
513C22⋊C4—216no—
514C22⋊C4—48no—
515C22⋊C4—48no—
516C22⋊C4—416no—
517C22⋊C4—48no—
518C22⋊C4—48no—
519C22⋊C4—48no—
520C22⋊C4—48no—
521C22⋊C4—88no—
522C22⋊C4—88no—
523C22⋊C4C2×C4⋊C4132yes—
524C22⋊C4C2×C4⋊C4132yes—
525C42—28no—
526C42—28no—
527C42—44no—
528C42—44no—
529C42—88no—
530C23—22no—
531C23—22no—
532C23—22no—
533C23—22no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—28no—
557C23—28no—
558C23—28no—
559C23—28no—
560C23—232no—
561C23—416no—
562C23—416no—
563C23—44no—
564C23—44no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—44no—
570C23—44no—
571C23—88no—
572C23—88no—
573C23—88no—
574C23—88no—
575C23—816no—
576C23—816no—
577C23—816no—
578C23—816no—
579C23C22×C4⋊C418yes—
580C23C22×C4⋊C414yes—
581C23#52014yes—
582C23#52014yes—
583C23#53514yes—
584C23#53614yes—
585C23#54414yes—
586C23#54414yes—
587C23C24×C411yescharacteristic
588C23C23×D411yescharacteristic
589C23C23×Q811yescharacteristic
590C23C2×H(5,𝔽2)12yes—
591C23C2×H(5,𝔽2)12yes—
592C23C2×H(5,𝔽2)11yescharacteristic
593C23C2×H(5,𝔽2)11yescharacteristic
594C23C2×2−1+411yescharacteristic
595C23C2×2−1+411yescharacteristic
596C23#58512yes—
597C23#58512yes—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—24no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—28no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—28no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—416no—
631C2×C4—416no—
632C2×C4—416no—
633C2×C4—416no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—44no—
638C2×C4—44no—
639C2×C4—42no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—88no—
671C2×C4—88no—
672C2×C4—832no—
673C2×C4C22×C4⋊C414yes—
674C2×C4C22×C4⋊C414yes—
675C2×C4C22×C4⋊C418yes—
676C2×C4#51814yes—
677C2×C4#51814yes—
678C22—24no—
679C22—24no—
680C22—24no—
681C22—24no—
682C22—28no—
683C22—28no—
684C22—24no—
685C22—24no—
686C22—28no—
687C22—28no—
688C22—28no—
689C22—28no—
690C22—28no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—44no—
695C22—48no—
696C22—48no—
697C22—48no—
698C22—48no—
699C22—832no—
700C22#231718yes—
701C22C23×C4⋊C411yescharacteristic
702C22C2×#51811yescharacteristic
703C22C2×#51811yescharacteristic
704C22C2×#52011yescharacteristic
705C22C2×#52011yescharacteristic
706C22#342811yescharacteristic
707C22#342811yescharacteristic
708C22C2×#53511yescharacteristic
709C22C2×#53611yescharacteristic
710C22C2×#54411yescharacteristic
711C22C2×#54411yescharacteristic
712C22#349612yes—
713C22#349612yes—
714C22#350112yes—
715C22#350112yes—
716C22#353412yes—
717C22#353512yes—
718C22#353612yes—
719C22#353712yes—
720C22#355812yes—
721C22#356012yes—
722C22#356112yes—
723C22#356412yes—
724C4—24no—
725C4—24no—
726C4—24no—
727C4—24no—
728C4—28no—
729C4—42no—
730C4—44no—
731C4—42no—
732C4—44no—
733C4—84no—
734C4—84no—
735C4—84no—
736C4—84no—
737C2—28no—
738C2—48no—
739C2C2×#231711yescharacteristic
740C2#3418111yescharacteristic
741C2#3418111yescharacteristic
742C2#3437611yescharacteristic
743C2#3437711yescharacteristic
744C2#3437911yescharacteristic
745C2#3438111yescharacteristic
746C2#3673912yes—
747C2#3674012yes—
748C2#3674912yes—
749C2#3675012yes—
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #14686C2semidirect
5. #14682C2semidirect
6. #14488C2semidirect
7. #14442C2semidirect
8. #14405C2semidirect
9. #14403C2semidirect
10. #14353C2semidirect
11. #14347C2semidirect
12. #13908C2semidirect
13. #13907C2semidirect
24. C2×#389C22semidirect
25. C2×#388C4semidirect
36. C2×#384C22semidirect
37. C2×#382C22semidirect
51. #1444C22semidirect
52. #1444C22semidirect
53. #1444C22semidirect
54. #1442C22semidirect
55. #1442C22semidirect
56. #1442C22semidirect
57. #1441C22semidirect
58. #1441C22semidirect
63. #1436C22semidirect
64. #1436C22semidirect
65. C4⋊#95C22semidirect
66. C4⋊#95C22semidirect
67. C4⋊#95C22semidirect
68. C4⋊#95C22semidirect
69. C4⋊#95C22semidirect
70. #1434C22semidirect
71. #1434C22semidirect
87. C22×C4⋊C4C2×C4semidirect
123. C22×C42C2×C4semidirect
132. #388C2×C4semidirect
133. #388C2×C4semidirect
134. #388C2×C4semidirect
135. #388C2×C4semidirect
153. C2×#95C2×C4semidirect
154. C2×#95C2×C4semidirect
300. C2×C22⋊C4C4⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#23152
C2×#23122
C22×#3882
#146862
#146822
#144882
#144422
#144052
#144032
#143532
#143472
#139082
#139072
#138772