Finite Group Databasebeta

← #627786

Subgroups — #627786

Order 512.

3986 conjugacy classes of subgroups.

The subgroup lattice has 805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2848C211yesmaximal, characteristic
2C2×#2627C211yesmaximal, characteristic, complemented
3C2×#2313C211yesmaximal, characteristic, complemented
4C22×#385C211yesmaximal, characteristic
5#15525C214yesmaximal, complemented
6#15441C214yesmaximal, complemented
7#15354C214yesmaximal, complemented
8#15339C214yesmaximal, complemented
9#14919C212yesmaximal, complemented
10#14918C212yesmaximal
11#14680C211yesmaximal, characteristic
12#14281C211yesmaximal, characteristic, complemented
13#14275C211yesmaximal, characteristic, complemented
14#14043C212yesmaximal, complemented
15#13971C212yesmaximal
16C25×C4C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2212yes—
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23#2848—28no—
24#2627—28no—
25C2×#400C2212yescomplemented
26C2×#398C2212yescomplemented
27C2×#398C2212yescomplemented
28C2×#395C2212yescomplemented
29#2313—28no—
30C2×#389C2214yescomplemented
31C2×#388C2214yes—
32C2×#387C2214yescomplemented
33C2×#387C2214yescomplemented
34C2×#385—28no—
35C2×#385C2212yes—
36C2×#385C2214yes—
37C2×#385C2212yes—
38C2×#385C2214yes—
39C2×#385C2212yes—
40C2×#385C2214yes—
41C2×#381C2212yes—
42C2×#381C2212yes—
43C2×#380C2212yes—
44C2×#380C2211yescharacteristic
45C2×#380C2211yescharacteristic
46C2×#380C2212yes—
47C2×#380C2212yes—
48C2×#380C2211yescharacteristic
49C2×#379C2212yes—
50C2×#379C2212yes—
51C2×C4×C22⋊C4C2212yes—
52C22×#95C2211yescharacteristic
53C22×#95C2211yescharacteristic
54#1446C2212yescomplemented
55#1445C2214yescomplemented
56#1445C2212yescomplemented
57#1444C2212yescomplemented
58#1444C2214yescomplemented
59#1443C2214yescomplemented
60#1443C2214yescomplemented
61#1442C2214yescomplemented
62#1442C2212yescomplemented
63#1441C2214yescomplemented
64#1441C2214yescomplemented
65#1441C2214yescomplemented
66#1440C2214yes—
67#1440C2214yes—
68#1440C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1437C2214yes—
73#1436C2214yescomplemented
74C22⋊#95C2212yes—
75C22⋊#95C2212yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2214yes—
79C26C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C24×C4—24no—
82C24×C4—24no—
83C24×C4—24no—
84C24×C4—44no—
85C24×C4—44no—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—24no—
97C2×C22⋊Q8—28no—
98C2×C22⋊Q8—44no—
99C2×C22⋊Q8—44no—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4—24no—
103C22×C4⋊C4—44no—
104C22×C4⋊C4D418yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2314yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—24no—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—44no—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C42C2314yes—
134#400—28no—
135#398—28no—
136#398—28no—
137#395—28no—
138#389—48no—
139#388—48no—
140#387—216no—
141#387—216no—
142#385—28no—
143#385—28no—
144#385—216no—
145#385—216no—
146#385—28no—
147#385—216no—
148#381—28no—
149#381—28no—
150#380—24no—
151#380—24no—
152#380—28no—
153#380—44no—
154#380—44no—
155#380D418yes—
156#379—28no—
157#379—28no—
158C4×C22⋊C4—28no—
159C2×#95—24no—
160C2×#95—24no—
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2314yes—
169C2×#95C2312yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C25—22no—
187C25—22no—
188C25—24no—
189C25—24no—
190C25—22no—
191C25—22no—
192C25—22no—
193C25—22no—
194C25—42no—
195C25—42no—
196C25#4114yes—
197C25C2412yes—
198C25C2411yescharacteristic
199C22×Q8—22no—
200C22×Q8—22no—
201C22×Q8—22no—
202C22×Q8—42no—
203C22×Q8—42no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—22no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—416no—
245C23×C4—432no—
246C23×C4—432no—
247C23×C4—416no—
248C23×C4—416no—
249C23×C4C2×D414yes—
250C23×C4C2×D414yes—
251C23×C4C2×D414yes—
252C23×C4C2×D414yes—
253C23×C4#4114yes—
254C23×C4#4114yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2414yes—
260C23×C4C2412yes—
261C23×C4C2414yes—
262C23×C4C2412yes—
263C23×C4C2412yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2411yescharacteristic
267C23×C4C2411yescharacteristic
268C22⋊Q8—432no—
269C22⋊Q8—416no—
270C2×C4⋊C4—232no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—416no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—42no—
300C2×C4⋊C4—42no—
301C2×C4⋊C4—42no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4C2×D418yes—
305C2×C4⋊C4C2×D418yes—
306C2×C4⋊C4C2×D418yes—
307C2×C22⋊C4—232no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—416no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4C2×D418yes—
339C2×C42—28no—
340C2×C42—44no—
341C2×C42—44no—
342#95—24no—
343#95—24no—
344#95—28no—
345#95—28no—
346#95—28no—
347#95—24no—
348#95—24no—
349#95—28no—
350#95—28no—
351#95—24no—
352#95—24no—
353#95—24no—
354#95—24no—
355#95—24no—
356#95—24no—
357#95—28no—
358#95—28no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365#95—44no—
366#95C2×D418yes—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—28no—
372C24—28no—
373C24—216no—
374C24—28no—
375C24—216no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—28no—
389C24—28no—
390C24—48no—
391C24—48no—
392C24—48no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—48no—
399C24—44no—
400C24—48no—
401C24—44no—
402C24—44no—
403C24—44no—
404C24—44no—
405C24—44no—
406C24C22×D412yes—
407C24C22×D412yes—
408C24C2×#4114yes—
409C24C2×#4112yes—
410C24C2×#4112yes—
411C24C2×#4112yes—
412C24H(5,𝔽2)14yes—
413C242−1+414yes—
414C242−1+412yes—
415C242−1+412yes—
416C24C2511yescharacteristic
417C2×Q8—48no—
418C2×Q8—44no—
419C2×Q8—82no—
420C2×Q8—82no—
421C2×Q8—84no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—28no—
427C22×C4—216no—
428C22×C4—216no—
429C22×C4—28no—
430C22×C4—28no—
431C22×C4—28no—
432C22×C4—28no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—28no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—48no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—44no—
515C22×C4—4128no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—84no—
527C22×C4—84no—
528C22×C4—84no—
529C22×C4—84no—
530C22×C4#121116yes—
531C22×C4C22×D414yes—
532C22×C4C22×D418yes—
533C22×C4C22×D414yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C2×#4114yes—
539C22×C4C2×#4112yes—
540C22×C4C2×#4112yes—
541C22×C4H(5,𝔽2)14yes—
542C4⋊C4—216no—
543C4⋊C4—216no—
544C4⋊C4—48no—
545C4⋊C4—416no—
546C4⋊C4—416no—
547C4⋊C4—416no—
548C4⋊C4—44no—
549C4⋊C4—48no—
550C4⋊C4—84no—
551C4⋊C4—82no—
552C4⋊C4—82no—
553C4⋊C4—84no—
554C4⋊C4—84no—
555C22⋊C4—232no—
556C22⋊C4—216no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4—416no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—416no—
563C22⋊C4—48no—
564C22⋊C4—88no—
565C42—88no—
566C23—24no—
567C23—24no—
568C23—22no—
569C23—22no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—232no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—432no—
602C23—432no—
603C23—416no—
604C23—432no—
605C23—416no—
606C23—416no—
607C23—416no—
608C23—432no—
609C23—416no—
610C23—42no—
611C23—416no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23C2×#12114yes—
628C23#52514yes—
629C23#53614yes—
630C23#53918yes—
631C23#54714yes—
632C23#54814yes—
633C23#55214yes—
634C23#55614yes—
635C23C23×D411yescharacteristic
636C23C23×D411yescharacteristic
637C23C22×#4111yescharacteristic
638C23C22×#4111yescharacteristic
639C23C22×#4111yescharacteristic
640C23C2×H(5,𝔽2)12yes—
641C23C2×H(5,𝔽2)12yes—
642C23C2×2−1+411yescharacteristic
643C23C2×2−1+411yescharacteristic
644C23C2×2−1+412yes—
645C23#58512yes—
646Q8—88no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—28no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—24no—
669C2×C4—416no—
670C2×C4—432no—
671C2×C4—432no—
672C2×C4—416no—
673C2×C4—416no—
674C2×C4—42no—
675C2×C4—416no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—88no—
725C2×C4—88no—
726C2×C4C2×#12114yes—
727C2×C4C2×#12114yes—
728C22—24no—
729C22—28no—
730C22—28no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—28no—
735C22—24no—
736C22—24no—
737C22—28no—
738C22—28no—
739C22—28no—
740C22—28no—
741C22—464no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22#241518yes—
755C22C22×#12111yescharacteristic
756C22C2×#52511yescharacteristic
757C22C2×#53611yescharacteristic
758C22C2×#53912yes—
759C22#345912yes—
760C22C2×#54711yescharacteristic
761C22C2×#54811yescharacteristic
762C22C2×#55211yescharacteristic
763C22C2×#55611yescharacteristic
764C22#348412yes—
765C22#348411yescharacteristic
766C22#348411yescharacteristic
767C22#348611yescharacteristic
768C22#348711yescharacteristic
769C22#348912yes—
770C22#349012yes—
771C22#349212yes—
772C22#349512yes—
773C22#350512yes—
774C22#353512yes—
775C22#353512yes—
776C22#353812yes—
777C22#353812yes—
778C4—24no—
779C4—24no—
780C4—44no—
781C4—44no—
782C4—48no—
783C4—44no—
784C4—44no—
785C4—82no—
786C4—84no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4—82no—
791C2—28no—
792C2—48no—
793C2C2×#241511yescharacteristic
794C2#3498711yescharacteristic
795C2#3498911yescharacteristic
796C2#3534811yescharacteristic
797C2#3566111yescharacteristic
798C2#3670811yescharacteristic
799C2#3671111yescharacteristic
800C2#3770212yes—
801C2#3776012yes—
802C2#3788012yes—
803C2#3795612yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2627C2semidirect
3. C2×#2313C2semidirect
5. #15525C2semidirect
6. #15441C2semidirect
7. #15354C2semidirect
8. #15339C2semidirect
9. #14919C2semidirect
12. #14281C2semidirect
13. #14275C2semidirect
14. #14043C2semidirect
25. C2×#400C22semidirect
26. C2×#398C22semidirect
27. C2×#398C22semidirect
28. C2×#395C22semidirect
30. C2×#389C22semidirect
32. C2×#387C22semidirect
33. C2×#387C22semidirect
54. #1446C22semidirect
55. #1445C22semidirect
56. #1445C22semidirect
57. #1444C22semidirect
58. #1444C22semidirect
59. #1443C22semidirect
60. #1443C22semidirect
61. #1442C22semidirect
62. #1442C22semidirect
63. #1441C22semidirect
64. #1441C22semidirect
65. #1441C22semidirect
73. #1436C22semidirect

Maximal subgroups

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

subgroupindex
C2×#28482
C2×#26272
C2×#23132
C22×#3852
#155252
#154412
#153542
#153392
#149192
#149182
#146802
#142812
#142752
#140432
#139712