Finite Group Databasebeta

← #647555

Subgroups — #647555

Order 512.

2672 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2857C211yesmaximal, characteristic, complemented
2C2×C4×#123C211yesmaximal, characteristic
3#17043C212yesmaximal, complemented
4#17039C212yesmaximal, complemented
5#16364C212yesmaximal, complemented
6#16251C212yesmaximal
7#15152C211yesmaximal, characteristic, complemented
8#15135C211yesmaximal, characteristic, complemented
9#15132C212yesmaximal, complemented
10#15129C212yesmaximal
11#15128C211yesmaximal, characteristic, complemented
12#15125C211yesmaximal, characteristic, complemented
13#14841C212yesmaximal, complemented
14#14839C212yesmaximal
15#14327C212yesmaximal, complemented
16#14323C212yesmaximal, complemented
17#14045C212yesmaximal, complemented
18#13973C212yesmaximal, complemented
19C4×#380C211yesmaximal, characteristic, complemented
20C22×C4⋊Q8C2211yescharacteristic
21C22×#123C2211yescharacteristic
22C22×C22⋊Q8C2212yes—
23C22×C4×D4C2211yescharacteristic
24C23×C42C2211yescharacteristic
25#2857—28no—
26C2×#400C2212yes—
27C2×#399C2212yes—
28C2×#397C2214yes—
29C2×#395C2212yes—
30C2×#394C2214yes—
31C2×#393C2212yes—
32C4×#123—28no—
33C2×#391C2212yes—
34C2×#389C2212yes—
35C2×#389C2212yes—
36C2×#389C2212yes—
37C2×#389C2212yes—
38C2×#388C2211yescharacteristic
39C2×#388C2211yescharacteristic
40C2×#387C2211yescharacteristic
41C2×#387C2211yescharacteristic
42C2×#386C2211yescharacteristic
43C2×#385C2211yescharacteristic
44C2×#384C2211yescharacteristic
45C2×#381C2211yescharacteristic
46C2×#380C2212yes—
47C2×#380C2212yes—
48C2×#380C2212yes—
49C2×#380C2212yes—
50C2×#380C2212yes—
51C2×C4×C4⋊C4C2211yescharacteristic
52C2×C4×C4⋊C4C2211yescharacteristic
53C2×C4×C4⋊C4C2212yes—
54C2×C4×C22⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2212yes—
58#1446C2212yes—
59#1446C2212yes—
60#1445C2212yes—
61#1445C2212yes—
62#1444C2212yes—
63#1444C2212yes—
64#1444C2214yes—
65#1443C2214yes—
66#1442C2212yes—
67#1442C2214yes—
68#1442C2212yes—
69#1442C2214yes—
70#1441C2212yes—
71#1441C2214yes—
72#1441C2212yes—
73#1441C2214yes—
74#1440C2214yes—
75#1440C2214yes—
76#1440C2214yes—
77#1439C2212yes—
78#1439C2212yes—
79#1439C2214yes—
80#1437C2214yes—
81#1436C2214yes—
82C4⋊#95C2212yes—
83C4⋊#95C2211yescharacteristic
84C4⋊#95C2212yes—
85C4⋊#95C2211yescharacteristic
86C4⋊#95C2212yes—
87C4⋊#95C2212yes—
88C4⋊#95C2214yes—
89#1434C2212yes—
90#1434C2214yes—
91C22⋊#95C2212yes—
92C4×#95C2212yes—
93C23×Q8C2312yes—
94C23×D4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C24×C4C2311yescharacteristic
99C2×C4⋊Q8—24no—
100C2×C4⋊Q8—44no—
101C2×#123—24no—
102C2×#123—24no—
103C2×#123—24no—
104C2×C22⋊Q8—28no—
105C2×C22⋊Q8—48no—
106C2×C4×D4—24no—
107C2×C4×D4—44no—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2311yescharacteristic
125C22×C22⋊C4C2311yescharacteristic
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2311yescharacteristic
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2311yescharacteristic
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2311yescharacteristic
134C22×C22⋊C4C2311yescharacteristic
135C22×C42—44no—
136C22×C42D418yes—
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2314yes—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#400—44no—
146#399—44no—
147#397—48no—
148#395—28no—
149#394—48no—
150#393—28no—
151#391—28no—
152#389—28no—
153#389—28no—
154#389—28no—
155#389—44no—
156#388—24no—
157#388—24no—
158#387—24no—
159#387—24no—
160#386—24no—
161#385—24no—
162#384—24no—
163#381—24no—
164#380—28no—
165#380—28no—
166#380—28no—
167#380—28no—
168#380—44no—
169C4×C4⋊C4—24no—
170C4×C4⋊C4—24no—
171C4×C4⋊C4—44no—
172C4×C22⋊C4—24no—
173C4×C22⋊C4—24no—
174C4×C22⋊C4—24no—
175C4×C22⋊C4—44no—
176C2×#95C2312yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2311yescharacteristic
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2311yescharacteristic
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2311yescharacteristic
190C2×#95C2311yescharacteristic
191C2×#95C2311yescharacteristic
192C2×#95C2311yescharacteristic
193C2×#95C2311yescharacteristic
194C2×#95C2311yescharacteristic
195C2×#95C2311yescharacteristic
196C2×#95C2311yescharacteristic
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C2×#95C2314yes—
204C2×#95C2314yes—
205C2×#95C2314yes—
206C25C2411yescharacteristic
207C25C2411yescharacteristic
208C22×Q8—24no—
209C22×Q8—24no—
210C22×Q8—24no—
211C22×Q8—44no—
212C22×Q8—44no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—24no—
216C22×D4—22no—
217C22×D4—42no—
218C23×C4—24no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4C2×D414yes—
236C23×C4C2×D414yes—
237C23×C4C2×D414yes—
238C23×C4C2414yes—
239C23×C4C2414yes—
240C23×C4C2411yescharacteristic
241C23×C4C2411yescharacteristic
242C23×C4C2414yes—
243C23×C4C2411yescharacteristic
244C23×C4C2411yescharacteristic
245C23×C4C2411yescharacteristic
246C23×C4C2411yescharacteristic
247C23×C4C2414yes—
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252C23×C4C2411yescharacteristic
253C23×C4C2411yescharacteristic
254C23×C4C2411yescharacteristic
255C4⋊Q8—416no—
256#123—232no—
257C22⋊Q8—432no—
258C4×D4—416no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—28no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—42no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4#4114yes—
299C2×C4⋊C4#4118yes—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—22no—
302C2×C22⋊C4—22no—
303C2×C22⋊C4—22no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—22no—
306C2×C22⋊C4—22no—
307C2×C22⋊C4—22no—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—22no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—22no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4#4114yes—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42—22no—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—22no—
340C2×C42—22no—
341C2×C42—28no—
342C2×C42—416no—
343C2×C42—42no—
344C2×C42—42no—
345C2×C42—44no—
346C2×C42—44no—
347C2×C42C2×D414yes—
348C2×C42C2×D414yes—
349C2×C42C2×D414yes—
350C2×C42C2×D414yes—
351#95—22no—
352#95—22no—
353#95—22no—
354#95—22no—
355#95—22no—
356#95—22no—
357#95—22no—
358#95—22no—
359#95—22no—
360#95—22no—
361#95—28no—
362#95—28no—
363#95—28no—
364#95—28no—
365#95—28no—
366#95—24no—
367#95—28no—
368#95—24no—
369#95—28no—
370#95—24no—
371#95—24no—
372#95—44no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381C24—22no—
382C24—21no—
383C24—21no—
384C24—21no—
385C24—22no—
386C24—21no—
387C24—21no—
388C24—22no—
389C24—21no—
390C24—21no—
391C24—22no—
392C24—21no—
393C24—21no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—21no—
398C24—21no—
399C24—21no—
400C24C22×D412yes—
401C24C2×#4112yes—
402C24H(5,𝔽2)14yes—
403C24C2511yescharacteristic
404C2×Q8—48no—
405C2×Q8—48no—
406C2×Q8—48no—
407C2×Q8—88no—
408C2×Q8—88no—
409C2×D4—28no—
410C2×D4—48no—
411C2×D4—48no—
412C2×D4—44no—
413C2×D4—44no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—21no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—21no—
421C22×C4—28no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—24no—
427C22×C4—22no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—24no—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—28no—
451C22×C4—28no—
452C22×C4—28no—
453C22×C4—28no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—21no—
494C22×C4—24no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C2×#4112yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4118yes—
519C22×C4C2×#4112yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4114yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C4H(5,𝔽2)14yes—
525C22×C42−1+414yes—
526C22×C42−1+412yes—
527C22×C42−1+412yes—
528C22×C42−1+412yes—
529C4⋊C4—28no—
530C4⋊C4—28no—
531C4⋊C4—216no—
532C4⋊C4—44no—
533C4⋊C4—48no—
534C4⋊C4—416no—
535C4⋊C4—48no—
536C4⋊C4—48no—
537C4⋊C4—48no—
538C4⋊C4—44no—
539C4⋊C4—44no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—88no—
543C4⋊C4—88no—
544C22⋊C4—28no—
545C22⋊C4—28no—
546C22⋊C4—28no—
547C22⋊C4—416no—
548C22⋊C4—44no—
549C22⋊C4—44no—
550C22⋊C4—44no—
551C22⋊C4—416no—
552C22⋊C4—44no—
553C22⋊C4—44no—
554C22⋊C4—88no—
555C22⋊C4—88no—
556C42—28no—
557C42—28no—
558C42—44no—
559C42—44no—
560C42—44no—
561C42—44no—
562C42—44no—
563C42—88no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—22no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—24no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23#53514yes—
610C23C23×D411yescharacteristic
611C23C22×#4111yescharacteristic
612C23C22×#4111yescharacteristic
613C23C22×#4112yes—
614C23C2×H(5,𝔽2)12yes—
615C23C2×H(5,𝔽2)12yes—
616C23C2×H(5,𝔽2)11yescharacteristic
617C23C2×2−1+411yescharacteristic
618C23C2×2−1+411yescharacteristic
619C23C2×2−1+412yes—
620C23C2×2−1+411yescharacteristic
621Q8—816no—
622D4—416no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—28no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—28no—
650C2×C4—24no—
651C2×C4—416no—
652C2×C4—416no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—416no—
672C2×C4—44no—
673C2×C4—41no—
674C2×C4—44no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—88no—
714C2×C4#52514yes—
715C2×C4#53214yes—
716C2×C4#53414yes—
717C2×C4#53614yes—
718C2×C4#53614yes—
719C2×C4#53714yes—
720C2×C4#53918yes—
721C2×C4#54218yes—
722C22—24no—
723C22—24no—
724C22—24no—
725C22—42no—
726C22—42no—
727C22—44no—
728C22—44no—
729C22—42no—
730C22—44no—
731C22—44no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—44no—
736C22—44no—
737C22—42no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—82no—
742C22—82no—
743C22—81no—
744C22C2×#52511yescharacteristic
745C22C2×#53211yescharacteristic
746C22C2×#53411yescharacteristic
747C22C2×#53511yescharacteristic
748C22C2×#53611yescharacteristic
749C22C2×#53611yescharacteristic
750C22C2×#53711yescharacteristic
751C22C2×#53912yes—
752C22C2×#54212yes—
753C22#348212yes—
754C22#348212yes—
755C22#350911yescharacteristic
756C22#350911yescharacteristic
757C22#351111yescharacteristic
758C22#351111yescharacteristic
759C22#351912yes—
760C22#351912yes—
761C22#351912yes—
762C22#352212yes—
763C22#353612yes—
764C22#353812yes—
765C22#354412yes—
766C22#354412yes—
767C4—24no—
768C4—24no—
769C4—24no—
770C4—42no—
771C4—42no—
772C4—42no—
773C4—48no—
774C4—42no—
775C4—42no—
776C4—81no—
777C4—84no—
778C4—81no—
779C4—81no—
780C4—81no—
781C4—84no—
782C4—84no—
783C4#266318yes—
784C2—44no—
785C2—82no—
786C2C2×#266311yescharacteristic
787C2#3497911yescharacteristic
788C2#3507611yescharacteristic
789C2#3523811yescharacteristic
790C2#3529711yescharacteristic
791C2#3744211yescharacteristic
792C2#3763211yescharacteristic
793C2#4007712yes—
794C2#4007812yes—
795C2#4010112yes—
796C2#4010212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
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×#2857C2semidirect
3. #17043C2semidirect
4. #17039C2semidirect
5. #16364C2semidirect
7. #15152C2semidirect
8. #15135C2semidirect
9. #15132C2semidirect
11. #15128C2semidirect
12. #15125C2semidirect
13. #14841C2semidirect
15. #14327C2semidirect
16. #14323C2semidirect
17. #14045C2semidirect
18. #13973C2semidirect
19. C4×#380C2semidirect

Maximal subgroups

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

subgroupindex
C2×#28572
C2×C4×#1232
#170432
#170392
#163642
#162512
#151522
#151352
#151322
#151292
#151282
#151252
#148412
#148392
#143272
#143232
#140452
#139732
C4×#3802