Finite Group Databasebeta

← #1495481

Subgroups — #1495481

Order 512.

4904 conjugacy classes of subgroups.

The subgroup lattice has 807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2684C212yesmaximal, complemented
2C2×#2679C211yesmaximal, characteristic, complemented
3C2×#2404C212yesmaximal, complemented
4C2×#2432C211yesmaximal, characteristic, complemented
5#15833C212yesmaximal, complemented
6#15549C214yesmaximal, complemented
7#15453C212yesmaximal, complemented
8#15267C214yesmaximal, complemented
9#15160C214yesmaximal, complemented
10#15144C212yesmaximal, complemented
11#14228C212yesmaximal, complemented
12#13995C214yesmaximal, complemented
13#13824C211yesmaximal, characteristic, complemented
14C23×#41C2211yescharacteristic
15C22×C4⋊Q8C2211yescharacteristic, complemented
16C22×#124C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic, complemented
18C22×#120C2212yes—
19C22×#120C2214yes—
20C22×#120C2212yescomplemented
21C23×C22⋊C4C2212yescomplemented
22#2684—216no—
23#2679—28no—
24#2432—28no—
25#2404—216no—
26C2×#397C2214yescomplemented
27C2×#394C2214yes—
28C2×#394C2212yes—
29C2×#394C2214yes—
30C2×#394C2214yescomplemented
31C2×#393C2214yescomplemented
32C2×#393C2214yescomplemented
33C2×#392C2214yes—
34C2×#392C2212yes—
35C2×#392C2212yes—
36C2×#391C2211yescharacteristic, complemented
37C2×#390C2212yes—
38C2×#390C2214yes—
39C2×#390C2212yes—
40C2×#390C2211yescharacteristic
41C2×#390C2214yescomplemented
42C2×#388C2214yescomplemented
43C2×#386C2214yes—
44C2×#386C2214yes—
45C2×#386C2212yes—
46C2×#386C2212yescomplemented
47C2×#386C2214yescomplemented
48C2×#385C2214yescomplemented
49C2×#381C2212yescomplemented
50C2×#379C2214yescomplemented
51C2×C4×C22⋊C4C2211yescharacteristic, complemented
52C2×C4×C22⋊C4C2214yescomplemented
53#1445C2214yescomplemented
54#1445C2212yescomplemented
55#1444C2212yescomplemented
56#1439C2214yescomplemented
57#1439C2214yescomplemented
58#1439C2212yescomplemented
59#1439C2214yescomplemented
60#1439C2214yescomplemented
61#1438C2212yes—
62#1438C2214yes—
63#1438C2214yescomplemented
64#1437C2214yescomplemented
65#1437C2212yescomplemented
66#1437C2214yescomplemented
67#1437C2214yescomplemented
68#1436C2212yescomplemented
69C4⋊#95C2214yescomplemented
70C4×#95C2212yescomplemented
71C26C2312yes—
72C22×#41—28no—
73C22×#41—24no—
74C22×#41—42no—
75C22×#41—42no—
76C22×#41—44no—
77C23×Q8C2311yescharacteristic
78C23×Q8C2311yescharacteristic
79C23×D4C2312yes—
80C23×D4C2314yes—
81C23×D4C2314yes—
82C23×D4C2312yes—
83C23×D4C2312yes—
84C23×D4C2311yescharacteristic
85C24×C4C2312yes—
86C24×C4C2311yescharacteristic
87C24×C4C2312yes—
88C2×C4⋊Q8—24no—
89C2×C4⋊Q8—44no—
90C2×#124—28no—
91C2×#124—24no—
92C2×C22⋊Q8—24no—
93C2×C22⋊Q8—42no—
94C2×C22⋊Q8—42no—
95C2×#120—28no—
96C2×#120—28no—
97C2×#120—28no—
98C2×#120—216no—
99C2×#120—28no—
100C2×#120—216no—
101C2×#120—48no—
102C2×#120—44no—
103C2×#120—44no—
104C22×C4⋊C4C2314yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C22⋊C4—28no—
110C22×C22⋊C4—44no—
111C22×C22⋊C4—44no—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2314yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2312yes—
130C22×C42C2311yescharacteristic
131C22×C42C2314yes—
132C22×C42C2312yes—
133C22×C42C2311yescharacteristic
134#397—216no—
135#394—28no—
136#394—216no—
137#394—216no—
138#394—216no—
139#393—216no—
140#393—216no—
141#392—28no—
142#392—216no—
143#392—44no—
144#391—24no—
145#390—28no—
146#390—48no—
147#390—44no—
148#390—48no—
149#390D418yescomplemented
150#388—216no—
151#386—28no—
152#386—216no—
153#386—216no—
154#386—216no—
155#386D4116yescomplemented
156#385—216no—
157#381—28no—
158#379—216no—
159C4×C22⋊C4—24no—
160C4×C22⋊C4—48no—
161C2×#95C2314yes—
162C2×#95C2312yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2312yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2312yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C25—24no—
176C25—28no—
177C25—24no—
178C25—24no—
179C25—42no—
180C25—42no—
181C25—44no—
182C25—44no—
183C25—42no—
184C25—42no—
185C25—44no—
186C25C2414yes—
187C25C2411yescharacteristic
188C25C2412yes—
189C2×#41—432no—
190C2×#41—416no—
191C2×#41—432no—
192C2×#41—416no—
193C2×#41—416no—
194C22×Q8—22no—
195C22×Q8—22no—
196C22×Q8—24no—
197C22×Q8—24no—
198C22×Q8—24no—
199C22×Q8—41no—
200C22×Q8—41no—
201C22×Q8—41no—
202C22×Q8—41no—
203C22×Q8—42no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—28no—
209C22×D4—28no—
210C22×D4—28no—
211C22×D4—28no—
212C22×D4—28no—
213C22×D4—28no—
214C22×D4—28no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—28no—
218C22×D4—24no—
219C22×D4—24no—
220C22×D4—42no—
221C22×D4—41no—
222C22×D4—41no—
223C22×D4—42no—
224C22×D4—42no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4—44no—
230C22×D4—44no—
231C22×D4—44no—
232C22×D4—44no—
233C22×D4—44no—
234C22×D4—42no—
235C22×D4—44no—
236C22×D4—42no—
237C22×D4C2×D418yes—
238C22×D4C2×D414yes—
239C22×D4#4118yescomplemented
240C23×C4—24no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—24no—
244C23×C4—24no—
245C23×C4—22no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4C2×D418yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2414yes—
260C23×C4C2414yes—
261C23×C4C2412yes—
262C23×C4C2414yes—
263C23×C4C2411yescharacteristic
264C23×C4C2412yes—
265C23×C4C2411yescharacteristic
266C23×C4C2412yes—
267C4⋊Q8—416no—
268#124—416no—
269C22⋊Q8—416no—
270#120—464no—
271#120—432no—
272#120—432no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—41no—
280C2×C4⋊C4—41no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4C2×D414yes—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—432no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4C2×D4116yes—
340C2×C22⋊C4C2×D418yes—
341C2×C22⋊C4C2×D4116yes—
342C2×C42—22no—
343C2×C42—24no—
344C2×C42—28no—
345C2×C42—42no—
346C2×C42—44no—
347C2×C42—44no—
348C2×C42—42no—
349C2×C42—44no—
350C2×C42C2×D414yes—
351#95—24no—
352#95—28no—
353#95—28no—
354#95—28no—
355#95—28no—
356#95—28no—
357#95—28no—
358#95—28no—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—44no—
363#95—42no—
364#95C2×D4116yes—
365C24—24no—
366C24—24no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—24no—
372C24—24no—
373C24—24no—
374C24—21no—
375C24—24no—
376C24—24no—
377C24—22no—
378C24—22no—
379C24—24no—
380C24—22no—
381C24—24no—
382C24—24no—
383C24—24no—
384C24—24no—
385C24—21no—
386C24—24no—
387C24—24no—
388C24—22no—
389C24—24no—
390C24—24no—
391C24—24no—
392C24—24no—
393C24—24no—
394C24—416no—
395C24—48no—
396C24—416no—
397C24—416no—
398C24—48no—
399C24—416no—
400C24—48no—
401C24—48no—
402C24—48no—
403C24—84no—
404C24—84no—
405C24—84no—
406C24—84no—
407C24—88no—
408C24—88no—
409C24—88no—
410C24—88no—
411C24—88no—
412C24—84no—
413C24—88no—
414C24—84no—
415C24—88no—
416C24—88no—
417C24C22×D414yes—
418C24C22×D414yes—
419C24C22×D414yes—
420C24C2×#4118yes—
421C24H(5,𝔽2)12yes—
422C24C2511yescharacteristic
423#41—4128no—
424C2×Q8—28no—
425C2×Q8—48no—
426C2×Q8—48no—
427C2×Q8—44no—
428C2×Q8—44no—
429C2×Q8—44no—
430C2×Q8—44no—
431C2×Q8—44no—
432C2×Q8—84no—
433C2×Q8—84no—
434C2×D4—216no—
435C2×D4—216no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—48no—
441C2×D4—48no—
442C2×D4—416no—
443C2×D4—416no—
444C2×D4—416no—
445C2×D4—416no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—416no—
451C2×D4—48no—
452C2×D4—416no—
453C2×D4—416no—
454C2×D4—416no—
455C2×D4—416no—
456C2×D4—84no—
457C2×D4—84no—
458C2×D4—88no—
459C2×D4—84no—
460C2×D4—88no—
461C2×D4—88no—
462C2×D4—88no—
463C2×D4—88no—
464C2×D4—88no—
465C2×D4—88no—
466C2×D4—88no—
467C2×D4—84no—
468C2×D4—88no—
469C2×D4#127116yes—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—24no—
475C22×C4—216no—
476C22×C4—28no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—24no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—416no—
523C22×C4—48no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—44no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—44no—
532C22×C4—84no—
533C22×C4—84no—
534C22×C4—88no—
535C22×C4C22×D418yes—
536C22×C4C22×D418yes—
537C22×C4C22×D414yes—
538C22×C4C22×D414yes—
539C22×C4C22×D412yes—
540C22×C4C22×D414yes—
541C22×C4C2×#4114yes—
542C22×C4H(5,𝔽2)12yes—
543C22×C4H(5,𝔽2)14yes—
544C22×C4H(5,𝔽2)14yes—
545C4⋊C4—44no—
546C4⋊C4—48no—
547C4⋊C4—416no—
548C4⋊C4—84no—
549C4⋊C4—88no—
550C22⋊C4—232no—
551C22⋊C4—416no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—416no—
556C22⋊C4—416no—
557C22⋊C4—416no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—416no—
561C22⋊C4—416no—
562C22⋊C4—48no—
563C22⋊C4—416no—
564C22⋊C4—88no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C42—44no—
569C42—44no—
570C42—88no—
571C42—84no—
572C23—28no—
573C23—28no—
574C23—28no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—28no—
582C23—28no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—28no—
588C23—22no—
589C23—24no—
590C23—28no—
591C23—28no—
592C23—24no—
593C23—28no—
594C23—24no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—42no—
603C23—44no—
604C23—44no—
605C23—432no—
606C23—44no—
607C23—41no—
608C23—44no—
609C23—42no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—41no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—42no—
619C23—41no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—42no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—42no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—41no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—832no—
647C23—816no—
648C23—816no—
649C23—816no—
650C23—832no—
651C23—832no—
652C23—832no—
653C23—816no—
654C23—816no—
655C23—816no—
656C23C2×#12718yes—
657C23C23×D411yescharacteristic
658C23C23×D412yes—
659C23C22×#4112yes—
660C23C2×H(5,𝔽2)12yes—
661C23C2×H(5,𝔽2)11yescharacteristic
662C23C2×H(5,𝔽2)12yes—
663C23C2×H(5,𝔽2)11yescharacteristic
664C23#58514yes—
665Q8—416no—
666Q8—88no—
667D4—416no—
668D4—432no—
669D4—816no—
670D4—832no—
671D4—816no—
672D4—832no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—28no—
684C2×C4—28no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—22no—
690C2×C4—24no—
691C2×C4—28no—
692C2×C4—28no—
693C2×C4—28no—
694C2×C4—416no—
695C2×C4—432no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—42no—
731C2×C4—816no—
732C2×C4C2×#12714yes—
733C2×C4#54618yes—
734C22—28no—
735C22—216no—
736C22—48no—
737C22—48no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—44no—
742C22—44no—
743C22—44no—
744C22—48no—
745C22—48no—
746C22—48no—
747C22—48no—
748C22—42no—
749C22—48no—
750C22—48no—
751C22—42no—
752C22—48no—
753C22—42no—
754C22—48no—
755C22—48no—
756C22—864no—
757C22—84no—
758C22—84no—
759C22—84no—
760C22—82no—
761C22—84no—
762C22—82no—
763C22—84no—
764C22—84no—
765C22—82no—
766C22—84no—
767C22—82no—
768C22—84no—
769C22C22×#12711yescharacteristic
770C22C2×#54612yes—
771C22D4×#4114yes—
772C22#348111yescharacteristic
773C22#348412yes—
774C22#348411yescharacteristic
775C22#348412yes—
776C22#348411yescharacteristic
777C22#349614yes—
778C22#350012yes—
779C22#350514yes—
780C22#351912yes—
781C22#354012yes—
782C22#354512yes—
783C22#354911yescharacteristic
784C22#355814yes—
785C4—24no—
786C4—28no—
787C4—48no—
788C4—42no—
789C4—44no—
790C4—48no—
791C4—44no—
792C4—82no—
793C4—82no—
794C4—84no—
795C2—48no—
796C2—82no—
797C2—88no—
798C2#3539011yescharacteristic
799C2#3626012yes—
800C2#4300012yes—
801C2#4303814yes—
802C2#4956212yes—
803C2#5174911yescharacteristic
804C2#5904111yescharacteristic
805C2#5917912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2684C2semidirect
2. C2×#2679C2semidirect
3. C2×#2404C2semidirect
4. C2×#2432C2semidirect
5. #15833C2semidirect
6. #15549C2semidirect
7. #15453C2semidirect
8. #15267C2semidirect
9. #15160C2semidirect
10. #15144C2semidirect
11. #14228C2semidirect
12. #13995C2semidirect
13. #13824C2semidirect
15. C22×C4⋊Q8C22semidirect
17. C22×C22⋊Q8C22semidirect
20. C22×#120C22semidirect
21. C23×C22⋊C4C22semidirect
26. C2×#397C22semidirect
30. C2×#394C22semidirect
31. C2×#393C22semidirect
32. C2×#393C22semidirect
36. C2×#391C22semidirect
41. C2×#390C22semidirect
42. C2×#388C22semidirect
46. C2×#386C22semidirect
47. C2×#386C22semidirect
48. C2×#385C22semidirect
49. C2×#381C22semidirect
50. C2×#379C22semidirect
51. C2×C4×C22⋊C4C22semidirect
52. C2×C4×C22⋊C4C22semidirect
53. #1445C22semidirect
54. #1445C22semidirect
55. #1444C22semidirect
56. #1439C22semidirect
57. #1439C22semidirect
58. #1439C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
63. #1438C22semidirect
64. #1437C22semidirect
65. #1437C22semidirect
66. #1437C22semidirect
67. #1437C22semidirect
68. #1436C22semidirect
69. C4⋊#95C22semidirect
70. C4×#95C22semidirect
149. #390D4semidirect
155. #386D4semidirect
239. C22×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#26842
C2×#26792
C2×#24042
C2×#24322
#158332
#155492
#154532
#152672
#151602
#151442
#142282
#139952
#138242