Finite Group Databasebeta

← #735252

Subgroups — #735252

Order 512.

3066 conjugacy classes of subgroups.

The subgroup lattice has 815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2535C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#16884C212yesmaximal, complemented
4#16884C212yesmaximal, complemented
5#15544C214yesmaximal, complemented
6#15377C214yesmaximal, complemented
7#15183C212yesmaximal, complemented
8#15132C212yesmaximal, complemented
9#15091C212yesmaximal, complemented
10#14776C212yesmaximal, complemented
11#14348C211yesmaximal, characteristic, complemented
12#13970C212yesmaximal, complemented
13#13970C212yesmaximal, complemented
14#13955C211yesmaximal, characteristic, complemented
15#13906C211yesmaximal, characteristic, complemented
16#13847C211yesmaximal, characteristic, complemented
17#13785C211yesmaximal, characteristic, complemented
18C22×#121C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2212yes—
23C23×C4⋊C4C2212yes—
24#2535—28no—
25C2×#397C2212yes—
26C2×#397C2214yes—
27C2×#392C2212yes—
28D4×C4⋊C4—28no—
29C2×#390C2212yes—
30C2×#390C2212yes—
31C2×#389C2212yes—
32C2×#386C2212yes—
33C2×#386C2212yes—
34C2×#386C2214yes—
35C2×#386C2214yes—
36C2×#385C2214yes—
37C2×#384C2211yescharacteristic
38C2×#382C2211yescharacteristic
39C2×#380C2211yescharacteristic
40C2×#380C2212yes—
41C2×#380C2211yescharacteristic
42C2×#380C2212yes—
43C2×#380C2212yes—
44C2×C4×C4⋊C4C2211yescharacteristic
45C2×C4×C4⋊C4C2211yescharacteristic
46C2×C4×C22⋊C4C2212yes—
47C2×C4×C22⋊C4C2212yes—
48C2×#376C2211yescharacteristic
49#1445C2212yes—
50#1445C2214yes—
51#1443C2214yes—
52#1443C2214yes—
53#1442C2214yes—
54#1442C2212yes—
55#1442C2212yes—
56#1442C2214yes—
57#1442C2212yes—
58#1442C2212yes—
59#1440C2214yes—
60#1440C2214yes—
61#1440C2214yes—
62#1440C2214yes—
63#1439C2214yes—
64#1439C2211yescharacteristic
65#1439C2211yescharacteristic
66#1439C2211yescharacteristic
67#1439C2211yescharacteristic
68#1439C2212yes—
69#1439C2212yes—
70#1438C2212yes—
71#1438C2214yes—
72#1438C2214yes—
73#1437C2214yes—
74C4⋊#95C2212yes—
75C4⋊#95C2212yes—
76C4⋊#95C2212yes—
77C4⋊#95C2212yes—
78C4⋊#95C2212yes—
79C4⋊#95C2212yes—
80#1434C2214yes—
81C22⋊#95C2214yes—
82C22⋊#95C2214yes—
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C23×D4C2311yescharacteristic
86C23×D4C2312yes—
87C23×D4C2312yes—
88C23×D4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2314yes—
92C24×C4C2312yes—
93C2×#121—24no—
94C2×#121—24no—
95C2×#121—28no—
96C2×#121—28no—
97C2×C4×D4—28no—
98C2×C4×D4—24no—
99C2×C4×D4—24no—
100C2×C4×D4—24no—
101C2×C4×D4—24no—
102C2×C4×D4—24no—
103C2×C4×D4—44no—
104C2×C4×D4—44no—
105C2×C4×D4D418yes—
106C22×C4⋊C4—28no—
107C22×C4⋊C4—48no—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2311yescharacteristic
122C22×C22⋊C4C2311yescharacteristic
123C22×C22⋊C4C2312yes—
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⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C42C2312yes—
136C22×C42C2312yes—
137C22×C42C2312yes—
138C22×C42C2311yescharacteristic
139#397—28no—
140#397—48no—
141#392—28no—
142#390—28no—
143#390—44no—
144#389—28no—
145#386—28no—
146#386—28no—
147#386—48no—
148#386—48no—
149#385—216no—
150#384—24no—
151#382—24no—
152#380—28no—
153#380—24no—
154#380—24no—
155#380—44no—
156#380—44no—
157C4×C4⋊C4—24no—
158C4×C4⋊C4—24no—
159C4×C22⋊C4—44no—
160C4×C22⋊C4—44no—
161#376—24no—
162C2×#95C2312yes—
163C2×#95C2314yes—
164C2×#95C2312yes—
165C2×#95C2312yes—
166C2×#95C2311yescharacteristic
167C2×#95C2311yescharacteristic
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2312yes—
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×#95C2314yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C25C2411yescharacteristic
189C25C2411yescharacteristic
190C25C2412yes—
191C22×D4—22no—
192C22×D4—22no—
193C22×D4—24no—
194C22×D4—24no—
195C22×D4—24no—
196C22×D4—24no—
197C22×D4—28no—
198C22×D4—28no—
199C22×D4—22no—
200C22×D4—22no—
201C22×D4—22no—
202C22×D4—22no—
203C22×D4—22no—
204C22×D4—24no—
205C22×D4—41no—
206C22×D4—41no—
207C22×D4—42no—
208C22×D4—42no—
209C22×D4—44no—
210C22×D4—44no—
211C22×D4C2×D414yes—
212C22×D4#4118yes—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—28no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—28no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4—44no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4C2×D418yes—
235C23×C4C2412yes—
236C23×C4C2414yes—
237C23×C4C2412yes—
238C23×C4C2412yes—
239C23×C4C2414yes—
240C23×C4C2411yescharacteristic
241C23×C4C2411yescharacteristic
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2411yescharacteristic
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249#121—416no—
250#121—416no—
251C4×D4—232no—
252C4×D4—432no—
253C4×D4—416no—
254C2×C4⋊C4—22no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—28no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—432no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—42no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4C2×D414yes—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—22no—
294C2×C22⋊C4—22no—
295C2×C22⋊C4—22no—
296C2×C22⋊C4—22no—
297C2×C22⋊C4—22no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—42no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—42no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4C2×D418yes—
327C2×C42—24no—
328C2×C42—24no—
329C2×C42—24no—
330C2×C42—24no—
331C2×C42—24no—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42—42no—
335C2×C42—42no—
336C2×C42C2×D414yes—
337C2×C42#4114yes—
338C2×C42#4114yes—
339#95—24no—
340#95—28no—
341#95—24no—
342#95—24no—
343#95—24no—
344#95—24no—
345#95—24no—
346#95—22no—
347#95—22no—
348#95—24no—
349#95—28no—
350#95—44no—
351#95—44no—
352#95—44no—
353#95—44no—
354#95—42no—
355#95—42no—
356#95—42no—
357#95—42no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365C24—22no—
366C24—22no—
367C24—24no—
368C24—22no—
369C24—24no—
370C24—22no—
371C24—22no—
372C24—24no—
373C24—22no—
374C24—21no—
375C24—21no—
376C24—21no—
377C24—21no—
378C24—21no—
379C24—21no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—21no—
387C24—21no—
388C24—22no—
389C24—21no—
390C24—21no—
391C24—22no—
392C24—21no—
393C24—21no—
394C24C22×D414yes—
395C24C2×#4118yes—
396C24H(5,𝔽2)12yes—
397C242−1+412yes—
398C24C2511yescharacteristic
399C2×D4—28no—
400C2×D4—28no—
401C2×D4—28no—
402C2×D4—216no—
403C2×D4—216no—
404C2×D4—44no—
405C2×D4—44no—
406C2×D4—44no—
407C2×D4—44no—
408C2×D4—44no—
409C2×D4—48no—
410C2×D4—48no—
411C2×D4—416no—
412C2×D4—416no—
413C2×D4—48no—
414C2×D4—48no—
415C2×D4—44no—
416C2×D4—84no—
417C2×D4—84no—
418C2×D4—88no—
419C2×D4—88no—
420C2×D4#124116yes—
421C22×C4—21no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—24no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—216no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—416no—
496C22×C4—416no—
497C22×C4—416no—
498C22×C4—416no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—88no—
510C22×C4—88no—
511C22×C4—88no—
512C22×C4—88no—
513C22×C4—88no—
514C22×C4C22×D414yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4114yes—
525C22×C4H(5,𝔽2)14yes—
526C22×C4H(5,𝔽2)14yes—
527C4⋊C4—28no—
528C4⋊C4—28no—
529C4⋊C4—416no—
530C4⋊C4—44no—
531C4⋊C4—48no—
532C4⋊C4—44no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C4⋊C4—48no—
536C4⋊C4—48no—
537C4⋊C4—84no—
538C22⋊C4—216no—
539C22⋊C4—48no—
540C22⋊C4—48no—
541C22⋊C4—48no—
542C22⋊C4—416no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—48no—
546C22⋊C4—44no—
547C22⋊C4—44no—
548C22⋊C4—84no—
549C22⋊C4—84no—
550C22⋊C4—88no—
551C22⋊C4—88no—
552C22⋊C4—88no—
553C22⋊C4—88no—
554C42—48no—
555C42—48no—
556C42—84no—
557C42#123116yes—
558C23—24no—
559C23—24no—
560C23—28no—
561C23—28no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—28no—
567C23—28no—
568C23—28no—
569C23—28no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—44no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
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—
626C23C2×#12418yes—
627C23C23×D411yescharacteristic
628C23C22×#4111yescharacteristic
629C23C22×#4111yescharacteristic
630C23C22×#4112yes—
631C23C2×H(5,𝔽2)12yes—
632C23C2×H(5,𝔽2)12yes—
633C23C2×H(5,𝔽2)11yescharacteristic
634C23C2×2−1+411yescharacteristic
635C23#58512yes—
636C23#58511yescharacteristic
637C23#58511yescharacteristic
638D4—232no—
639D4—416no—
640D4—816no—
641D4—816no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—432no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—832no—
721C2×C4—88no—
722C2×C4—88no—
723C2×C4C2×#12314yes—
724C2×C4C2×#12314yes—
725C2×C4C2×#12314yes—
726C2×C4C2×#12414yes—
727C2×C4#53514yes—
728C2×C4#55318yes—
729C2×C4#55318yes—
730C22—28no—
731C22—28no—
732C22—28no—
733C22—44no—
734C22—48no—
735C22—48no—
736C22—48no—
737C22—44no—
738C22—44no—
739C22—48no—
740C22—44no—
741C22—42no—
742C22—44no—
743C22—44no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—44no—
749C22—44no—
750C22—42no—
751C22—81no—
752C22—81no—
753C22—81no—
754C22—82no—
755C22—82no—
756C22—81no—
757C22—82no—
758C22—82no—
759C22—81no—
760C22—81no—
761C22—81no—
762C22—81no—
763C22C22×#12311yescharacteristic
764C22C22×#12411yescharacteristic
765C22C2×#53511yescharacteristic
766C22#346012yes—
767C22C2×#55312yes—
768C22C2×#55312yes—
769C22#348411yescharacteristic
770C22#348511yescharacteristic
771C22#348811yescharacteristic
772C22#348911yescharacteristic
773C22#349211yescharacteristic
774C22#349311yescharacteristic
775C22#349411yescharacteristic
776C22#349511yescharacteristic
777C22#350612yes—
778C22#351312yes—
779C22#351412yes—
780C22#352012yes—
781C22#352112yes—
782C22#353712yes—
783C22#353912yes—
784C22#354112yes—
785C22#354212yes—
786C4—24no—
787C4—24no—
788C4—44no—
789C4—44no—
790C4—82no—
791C4—84no—
792C4—82no—
793C4—82no—
794C4—82no—
795C4—82no—
796C4—81no—
797C4—81no—
798C4—84no—
799C4#250418yes—
800C2—48no—
801C2—82no—
802C2—82no—
803C2C2×#250411yescharacteristic
804C2#3515211yescharacteristic
805C2#3551611yescharacteristic
806C2#3584711yescharacteristic
807C2#3593911yescharacteristic
808C2#3925612yes—
809C2#3926012yes—
810C2#4248011yescharacteristic
811C2#4267911yescharacteristic
812C2#4491212yes—
813C2#4525712yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2535C2
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×D4×C4⋊C4C2semidirect
3. #16884C2semidirect
4. #16884C2semidirect
5. #15544C2semidirect
6. #15377C2semidirect
7. #15183C2semidirect
8. #15132C2semidirect
9. #15091C2semidirect
10. #14776C2semidirect
11. #14348C2semidirect
12. #13970C2semidirect
13. #13970C2semidirect
14. #13955C2semidirect
15. #13906C2semidirect
16. #13847C2semidirect
17. #13785C2semidirect

Maximal subgroups

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

subgroupindex
C2×#25352
C2×D4×C4⋊C42
#168842
#155442
#153772
#151832
#151322
#150912
#147762
#143482
#139702
#139552
#139062
#138472
#137852