Finite Group Databasebeta

← #719841

Subgroups — #719841

Order 512.

3610 conjugacy classes of subgroups.

The subgroup lattice has 813 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2537C211yesmaximal, characteristic
2C2×#2420C212yesmaximal, complemented
3C2×#2422C212yesmaximal, complemented
4C2×#2349C211yesmaximal, characteristic, complemented
5#17059C212yesmaximal, complemented
6#16363C212yesmaximal, complemented
7#15549C214yesmaximal, complemented
8#15384C214yesmaximal, complemented
9#15223C212yesmaximal, complemented
10#15135C212yesmaximal, complemented
11#14936C212yesmaximal, complemented
12#14926C212yesmaximal, complemented
13#14354C211yesmaximal, characteristic, complemented
14#13910C211yesmaximal, characteristic, complemented
15#13905C211yesmaximal, characteristic, complemented
16#13847C211yesmaximal, characteristic, complemented
17#13785C211yesmaximal, characteristic, complemented
18C22×#123C2214yes—
19C22×#121C2212yes—
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25#2537—28no—
26#2422—216no—
27#2420—216no—
28C2×#399C2214yes—
29C2×#397C2214yes—
30C2×#397C2214yes—
31C2×#394C2214yes—
32C2×#394C2214yes—
33C2×#394C2214yes—
34#2349—28no—
35C2×#390C2212yes—
36C2×#389C2211yescharacteristic
37C2×#389C2212yes—
38C2×#389C2211yescharacteristic
39C2×#389C2212yes—
40C2×#386C2214yes—
41C2×#385C2212yes—
42C2×#385C2214yes—
43C2×#385C2212yes—
44C2×#384C2212yes—
45C2×#384C2211yescharacteristic
46C2×#384C2212yes—
47C2×#382C2211yescharacteristic
48C2×#382C2212yes—
49C2×#381C2214yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×#380C2212yes—
54C2×#380C2212yes—
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2212yes—
58C2×C4×C22⋊C4C2212yes—
59C2×#376C2211yescharacteristic
60C22×#95C2212yes—
61#1445C2211yescharacteristic
62#1445C2211yescharacteristic
63#1445C2214yes—
64#1445C2214yes—
65#1445C2212yes—
66#1445C2214yes—
67#1444C2214yes—
68#1444C2212yes—
69#1444C2212yes—
70#1444C2214yes—
71#1444C2212yes—
72#1444C2212yes—
73#1439C2212yes—
74#1439C2212yes—
75#1439C2214yes—
76#1439C2214yes—
77#1439C2214yes—
78#1438C2211yescharacteristic
79#1438C2211yescharacteristic
80#1438C2212yes—
81#1437C2214yes—
82#1437C2214yes—
83C4⋊#95C2212yes—
84C4⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yes—
87C23×D4C2311yescharacteristic
88C23×D4C2314yes—
89C23×D4C2311yescharacteristic
90C24×C4C2312yes—
91C24×C4C2312yes—
92C24×C4C2312yes—
93C24×C4C2312yes—
94C2×#123—216no—
95C2×#123—48no—
96C2×#123—48no—
97C2×#121—28no—
98C2×#121—28no—
99C2×#121—28no—
100C2×#121—28no—
101C2×#121—48no—
102C2×C4×D4—24no—
103C2×C4×D4—24no—
104C2×C4×D4—28no—
105C2×C4×D4—28no—
106C2×C4×D4—24no—
107C2×C4×D4—24no—
108C2×C4×D4—24no—
109C2×C4×D4—24no—
110C2×C4×D4—24no—
111C2×C4×D4D418yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2314yes—
141C22×C22⋊C4C2314yes—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2312yes—
145C22×C42C2312yes—
146C22×C42C2311yescharacteristic
147#399—48no—
148#397—216no—
149#397—216no—
150#394—216no—
151#394—216no—
152#394—216no—
153#390D4116yescomplemented
154#389—24no—
155#389—24no—
156#389—28no—
157#389—28no—
158#386—216no—
159#385—28no—
160#385—28no—
161#385—216no—
162#384—28no—
163#384—24no—
164#384—44no—
165#382—24no—
166#382—28no—
167#381—216no—
168#380—28no—
169#380—28no—
170#380—28no—
171#380—28no—
172#380—28no—
173C4×C4⋊C4—24no—
174C4×C4⋊C4—24no—
175C4×C22⋊C4—28no—
176C4×C22⋊C4—28no—
177#376—24no—
178C2×#95—28no—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2311yescharacteristic
188C2×#95C2311yescharacteristic
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2311yescharacteristic
194C2×#95C2312yes—
195C2×#95C2311yescharacteristic
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C2×#95C2312yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C25C2412yes—
203C25C2412yes—
204C22×D4—24no—
205C22×D4—28no—
206C22×D4—28no—
207C22×D4—28no—
208C22×D4—28no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—24no—
215C22×D4—42no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4C2×D414yes—
220C22×D4C2×D418yes—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—28no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—28no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4—44no—
239C23×C4—44no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4C2×D418yes—
243C23×C4C2411yescharacteristic
244C23×C4C2411yescharacteristic
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2414yes—
249C23×C4C2414yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2411yescharacteristic
254C23×C4C2411yescharacteristic
255C23×C4C2411yescharacteristic
256C23×C4C2411yescharacteristic
257C23×C4C2411yescharacteristic
258#123—464no—
259#121—432no—
260#121—432no—
261C4×D4—232no—
262C4×D4—416no—
263C4×D4—416no—
264C4×D4—416no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—41no—
293C2×C4⋊C4—41no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—42no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—44no—
305C2×C4⋊C4—44no—
306C2×C4⋊C4C2×D414yes—
307C2×C4⋊C4C2×D418yes—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—42no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—42no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4C2×D418yes—
346C2×C22⋊C4C2×D4116yes—
347C2×C22⋊C4C2×D4116yes—
348C2×C42—24no—
349C2×C42—24no—
350C2×C42—24no—
351C2×C42—24no—
352C2×C42—22no—
353C2×C42—22no—
354C2×C42—24no—
355C2×C42—42no—
356C2×C42—42no—
357C2×C42C2×D418yes—
358C2×C42C2×D414yes—
359C2×C42#4114yes—
360C2×C42#4114yes—
361#95—22no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—22no—
370#95—28no—
371#95—28no—
372#95—28no—
373#95—28no—
374#95—28no—
375#95—24no—
376#95—28no—
377#95—28no—
378#95—24no—
379#95—22no—
380#95—22no—
381#95—24no—
382#95—44no—
383#95—44no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—24no—
388C24—22no—
389C24—24no—
390C24—22no—
391C24—24no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24C22×D418yes—
408C24C22×D414yes—
409C24H(5,𝔽2)14yes—
410C24C2511yescharacteristic
411C2×D4—28no—
412C2×D4—28no—
413C2×D4—28no—
414C2×D4—216no—
415C2×D4—216no—
416C2×D4—48no—
417C2×D4—48no—
418C2×D4—44no—
419C2×D4—416no—
420C2×D4—416no—
421C2×D4—416no—
422C2×D4—416no—
423C2×D4—44no—
424C2×D4—88no—
425C2×D4—88no—
426C2×D4—88no—
427C2×D4#127116yes—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—216no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—21no—
487C22×C4—24no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—416no—
502C22×C4—48no—
503C22×C4—416no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—88no—
515C22×C4—88no—
516C22×C4—84no—
517C22×C4—88no—
518C22×C4—84no—
519C22×C4—88no—
520C22×C4C22×D414yes—
521C22×C4C22×D414yes—
522C22×C4C22×D418yes—
523C22×C4C22×D414yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D414yes—
528C22×C4C2×#4112yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C42−1+412yes—
536C22×C42−1+414yes—
537C4⋊C4—28no—
538C4⋊C4—216no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—416no—
542C4⋊C4—48no—
543C4⋊C4—416no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—48no—
548C4⋊C4—84no—
549C4⋊C4—88no—
550C4⋊C4—84no—
551C4⋊C4—84no—
552C4⋊C4—88no—
553C22⋊C4—216no—
554C22⋊C4—216no—
555C22⋊C4—416no—
556C22⋊C4—416no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—416no—
560C22⋊C4—416no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—416no—
565C22⋊C4—48no—
566C22⋊C4—88no—
567C42—216no—
568C42—48no—
569C42—44no—
570C42—44no—
571C42#123116yescomplemented
572C23—24no—
573C23—24no—
574C23—28no—
575C23—28no—
576C23—28no—
577C23—24no—
578C23—28no—
579C23—24no—
580C23—24no—
581C23—28no—
582C23—28no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—42no—
592C23—42no—
593C23—44no—
594C23—44no—
595C23—42no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
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—
627C23—42no—
628C23—42no—
629C23C2×#12718yes—
630C23C23×D411yescharacteristic
631C23C23×D412yes—
632C23C22×#4111yescharacteristic
633C23C22×#4111yescharacteristic
634C23C2×H(5,𝔽2)11yescharacteristic
635C23C2×H(5,𝔽2)12yes—
636C23C2×2−1+412yes—
637C23C2×2−1+411yescharacteristic
638C23#58511yescharacteristic
639C23#58511yescharacteristic
640C23#58512yes—
641D4—232no—
642D4—416no—
643D4—832no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—28no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—28no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—44no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—41no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—41no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—41no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—41no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—816no—
725C2×C4—816no—
726C2×C4—816no—
727C2×C4—816no—
728C2×C4C2×#12314yes—
729C2×C4C2×#12314yes—
730C2×C4C2×#12314yes—
731C2×C4C2×#12714yes—
732C2×C4#53614yes—
733C2×C4#54718yes—
734C2×C4#54718yes—
735C22—28no—
736C22—28no—
737C22—28no—
738C22—48no—
739C22—48no—
740C22—48no—
741C22—48no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22C22×#12311yescharacteristic
762C22C22×#12711yescharacteristic
763C22C2×#53611yescharacteristic
764C22#346011yescharacteristic
765C22#346111yescharacteristic
766C22C2×#54712yes—
767C22C2×#54712yes—
768C22#348412yes—
769C22#348411yescharacteristic
770C22#348512yes—
771C22#348511yescharacteristic
772C22#348812yes—
773C22#348811yescharacteristic
774C22#348912yes—
775C22#348911yescharacteristic
776C22#349412yes—
777C22#349412yes—
778C22#351111yescharacteristic
779C22#351211yescharacteristic
780C22#354412yes—
781C22#354712yes—
782C22#355912yes—
783C22#356512yes—
784C4—24no—
785C4—24no—
786C4—44no—
787C4—42no—
788C4—44no—
789C4—48no—
790C4—44no—
791C4—42no—
792C4—81no—
793C4—82no—
794C4—84no—
795C4—82no—
796C4—81no—
797C4—82no—
798C4#250118yes—
799C2—48no—
800C2—84no—
801C2C2×#250111yescharacteristic
802C2#3525511yescharacteristic
803C2#3554011yescharacteristic
804C2#3592111yescharacteristic
805C2#3606011yescharacteristic
806C2#3776412yes—
807C2#3776612yes—
808C2#4248211yescharacteristic
809C2#4268111yescharacteristic
810C2#4492812yes—
811C2#4513512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2537C2
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×#2420C2semidirect
3. C2×#2422C2semidirect
4. C2×#2349C2semidirect
5. #17059C2semidirect
6. #16363C2semidirect
7. #15549C2semidirect
8. #15384C2semidirect
9. #15223C2semidirect
10. #15135C2semidirect
11. #14936C2semidirect
12. #14926C2semidirect
13. #14354C2semidirect
14. #13910C2semidirect
15. #13905C2semidirect
16. #13847C2semidirect
17. #13785C2semidirect
153. #390D4semidirect
571. C42#123semidirect

Maximal subgroups

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

subgroupindex
C2×#25372
C2×#24202
C2×#24222
C2×#23492
#170592
#163632
#155492
#153842
#152232
#151352
#149362
#149262
#143542
#139102
#139052
#138472
#137852