Finite Group Databasebeta

← #7700072

Subgroups — #7700072

Order 512.

5177 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60032C211yesmaximal, characteristic, complemented
2#59847C213yesmaximal, complemented
3#59596C212yesmaximal, complemented
4#59537C213yesmaximal, complemented
5#59534C216yesmaximal, complemented
6#59529C216yesmaximal, complemented
7#59526C216yesmaximal, complemented
8#36569C213yesmaximal, complemented
9#36536C213yesmaximal, complemented
10#36532C216yesmaximal, complemented
11#36532C216yesmaximal, complemented
12#36530C213yesmaximal, complemented
13#36511C216yesmaximal, complemented
14C4×#553C216yesmaximal, complemented
15C4×#551C213yesmaximal, complemented
16C2×#553C2216yes—
17C2×#551C2213yes—
18#2865C2216yescomplemented
19#2864C2213yescomplemented
20#2855C2213yescomplemented
21#2855C2216yescomplemented
22#2852C2216yes—
23#2852C2212yescomplemented
24#2847C2211yescharacteristic
25#2785C2211yescharacteristic, complemented
26#2769C2213yescomplemented
27#2738C2216yes—
28#2736C2211yescharacteristic
29#2722C2213yescomplemented
30#2695C2216yes—
31#2686C2216yes—
32#2675C2211yescharacteristic, complemented
33#2671C2216yes—
34#2668C2213yes—
35#2606C2216yescomplemented
36#2604C2216yescomplemented
37#2600C2216yes—
38#2600C2216yes—
39#2600C2213yescomplemented
40#2600C2213yescomplemented
41#2590C2216yescomplemented
42#2590C2216yescomplemented
43#2589C2216yes—
44#2589C2216yescomplemented
45#2586C2213yescomplemented
46#2578C2216yes—
47#2578C2216yes—
48#2578C2216yescomplemented
49#2577C2216yes—
50#2577C2216yescomplemented
51#2577C2216yescomplemented
52#2572C2216yes—
53#2572C2213yescomplemented
54#2569C2213yes—
55#2564C2213yes—
56#2560C2216yes—
57#2560C2216yescomplemented
58#2560C2216yescomplemented
59#2559C2216yes—
60#2559C2216yes—
61#2559C2216yescomplemented
62#2556C2216yes—
63#2553C2216yes—
64#2553C2216yes—
65#2549C2213yescomplemented
66#2543C2213yes—
67#2536C2213yescomplemented
68#2535C2213yes—
69#2524C2216yescomplemented
70#2524C2216yescomplemented
71#2522C2216yes—
72#2520C2216yescomplemented
73#2519C2216yescomplemented
74#2518C2216yes—
75#2517C2213yes—
76#2495C2216yescomplemented
77#2479C2216yes—
78#2478C2216yes—
79#2475C2216yes—
80#2473C2216yescomplemented
81#2470C2216yes—
82#2468C2216yes—
83#2468C2216yes—
84#2468C2216yescomplemented
85#2467C2216yes—
86#2467C2216yescomplemented
87#2464C2216yes—
88#2464C2216yes—
89#2463C2213yes—
90#2463C2216yes—
91#2449C2216yes—
92#2427C2216yes—
93#2424C2216yes—
94#2418C2216yes—
95#2374C2213yes—
96#2374C2216yes—
97#2373C2216yes—
98#2373C2216yescomplemented
99#2373C2216yescomplemented
100#2373C2216yescomplemented
101#2372C2213yes—
102#2370C2216yescomplemented
103#2368C2216yes—
104#2368C2213yescomplemented
105#2364C2216yes—
106#2364C2216yes—
107#2364C2213yes—
108#2363C2216yes—
109#2361C2216yescomplemented
110#2359C2216yes—
111#2358C2213yes—
112#2357C2216yescomplemented
113#2356C2213yescomplemented
114#2353C2216yes—
115#2353C2216yescomplemented
116#2353C2216yescomplemented
117#2352C2216yes—
118#2349C2213yes—
119#2347C2216yes—
120#2345C2216yescomplemented
121#2343C2216yes—
122#2342C2216yes—
123C4×#125C2216yescomplemented
124C4×#126C2216yes—
125C4×#126C2216yescomplemented
126C4×#126C2216yescomplemented
127C4×#124C2213yes—
128C4×C22⋊Q8C2216yes—
129C4×#123C2216yes—
130C4×#123C2213yes—
131C4×#123C2216yes—
132C4×#123C2216yes—
133C4×#121C2216yes—
134C4×#121C2216yes—
135C4×#121C2216yes—
136C4×#121C2216yescomplemented
137C4×#120C2213yes—
138C42×D4C2216yes—
139C42×D4C2216yescomplemented
140C42×D4C2213yescomplemented
141C4×#117C2216yes—
142C2×C4×C4⋊C4C2213yescomplemented
143C2×C4×C22⋊C4C2213yes—
144C24×C4C2311yescharacteristic
145#553—248no—
146#551—224no—
147C2×#126C2316yes—
148C2×#126C2316yes—
149C2×#126C2316yes—
150C2×#126C2316yes—
151C2×#126C2312yes—
152C2×#125C2316yes—
153C2×#124C2313yes—
154C2×#123C2316yes—
155C2×#123C2316yes—
156C2×#123C2313yes—
157C2×C22⋊Q8C2316yes—
158C2×C22⋊Q8C2313yes—
159C2×C22⋊Q8C2316yes—
160C2×#121C2316yes—
161C2×#121C2316yes—
162C2×#121C2316yes—
163C2×#121C2316yes—
164C2×#121C2313yes—
165C2×#120C2313yes—
166C2×#120C2312yes—
167C2×C4×Q8C2313yes—
168C2×C4×D4C2316yes—
169C2×C4×D4C2316yes—
170C2×C4×D4C2316yes—
171C2×C4×D4C2316yes—
172C2×C4×D4C2316yes—
173C2×C4×D4C2313yes—
174C2×C4×D4C2313yes—
175C2×C4×D4C2316yes—
176C2×C4×D4C2316yes—
177C2×C4×D4C2316yes—
178C2×C4×D4C2316yes—
179C2×#117C2316yes—
180C2×#117C2316yes—
181C22×C4⋊C4C2316yes—
182C22×C22⋊C4C2316yes—
183C22×C42C2316yes—
184C22×C42C2313yes—
185C22×C42C2312yes—
186C22×C42C2316yes—
187#400C2313yes—
188#400C2316yes—
189#400C2316yes—
190#400C2316yes—
191#400C2316yes—
192#399C2313yes—
193#399C2316yes—
194#399C2316yes—
195#398C2316yes—
196#398C2316yes—
197#398C2316yes—
198#398C2316yes—
199#398C2316yes—
200#398C2316yes—
201#398C2313yes—
202#398C2316yes—
203#398C2316yes—
204#397C2316yes—
205#397C2316yes—
206#397C2316yes—
207#397C2313yes—
208#397C2316yes—
209#397C2313yes—
210#397C2313yes—
211#396C2312yes—
212#396C2316yes—
213#395C2311yescharacteristic
214#395C2316yes—
215#394C2316yes—
216#394C2316yes—
217#394C2316yes—
218#394C2316yes—
219#394C2313yes—
220#394C2316yes—
221#394C2316yes—
222#394C2316yes—
223#394C2316yes—
224#393C2316yes—
225#393C2312yes—
226#393C2313yes—
227#392C2313yes—
228#392C2316yes—
229#392C2311yescharacteristic
230#392C2313yes—
231#391C2316yes—
232#391C2316yes—
233#391C2316yes—
234#391C2313yes—
235#390C2316yes—
236#390C2316yes—
237#390C2316yes—
238#390C2313yes—
239#389C2316yes—
240#389C2316yes—
241#389C2316yes—
242#389C2316yes—
243#389C2316yes—
244#389C2316yes—
245#389C2316yes—
246#389C2316yes—
247#389C2316yes—
248#389C2316yes—
249#388C2316yes—
250#388C2316yes—
251#388C2316yes—
252#388C2316yes—
253#388C2316yes—
254#388C2316yes—
255#388C2316yes—
256#388C2316yes—
257#388C2316yes—
258#388C2316yes—
259#388C2316yes—
260#388C2316yes—
261#388C2316yes—
262#388C2316yes—
263#388C2316yes—
264#388C2316yes—
265#388C2316yes—
266#388C2316yes—
267#388C2316yes—
268#388C2316yes—
269#388C2316yes—
270#388C2316yes—
271#388C2316yes—
272#388C2316yes—
273#388C2316yes—
274#388C2316yes—
275#388C2316yes—
276#387C2316yes—
277#387C2316yes—
278#387C2316yes—
279#387C2316yes—
280#387C2316yes—
281#387C2316yes—
282#387C2316yes—
283#387C2316yes—
284#387C2316yes—
285#387C2316yes—
286#387C2316yes—
287#387C2316yes—
288#387C2316yes—
289#387C2316yes—
290#387C2316yes—
291#387C2316yes—
292#387C2316yes—
293#387C2316yes—
294#387C2316yes—
295#387C2316yes—
296#387C2316yes—
297#387C2316yes—
298#387C2316yes—
299#387C2316yes—
300#387C2316yes—
301#387C2316yes—
302#387C2316yes—
303#387C2316yes—
304#387C2316yes—
305#386C2316yes—
306#386C2316yes—
307#386C2316yes—
308#386C2316yes—
309#386C2316yes—
310#386C2316yes—
311#386C2316yes—
312#386C2316yes—
313#386C2316yes—
314#386C2316yes—
315#386C2316yes—
316#386C2316yes—
317#386C2316yes—
318#386C2316yes—
319#386C2313yes—
320#386C2313yes—
321#385C2316yes—
322#385C2316yes—
323#385C2316yes—
324#385C2316yes—
325#385C2316yes—
326#385C2316yes—
327#385C2316yes—
328#385C2316yes—
329#385C2316yes—
330#385C2313yes—
331#385C2316yes—
332#385C2316yes—
333#385C2313yes—
334#385C2316yes—
335#383C2316yes—
336#383C2316yes—
337#383C2316yes—
338#383C2312yes—
339#383C2316yes—
340#382C2316yes—
341#382C2313yes—
342#382C2313yes—
343#382C2313yes—
344#381C2316yes—
345#381C2316yes—
346#381C2316yes—
347#381C2313yes—
348#380C2316yes—
349#380C2313yes—
350#380C2316yes—
351#380C2316yes—
352#380C2316yes—
353#380C2316yes—
354#380C2313yes—
355#380C2316yes—
356#379C2313yes—
357C4×C4⋊C4C2316yes—
358C4×C4⋊C4C2316yes—
359C4×C4⋊C4C2316yes—
360C4×C4⋊C4C2316yes—
361C4×C4⋊C4C2316yes—
362C4×C4⋊C4C2316yes—
363C4×C4⋊C4C2316yes—
364C4×C4⋊C4C2316yes—
365C4×C4⋊C4C2316yes—
366C4×C4⋊C4C2316yes—
367C4×C4⋊C4C2316yes—
368C4×C4⋊C4C2316yes—
369C4×C4⋊C4C2316yes—
370C4×C4⋊C4C2313yes—
371C4×C4⋊C4C2316yes—
372C4×C4⋊C4C2316yes—
373C4×C4⋊C4C2316yes—
374C4×C22⋊C4C2313yes—
375C4×C22⋊C4C2316yes—
376C4×C22⋊C4C2316yes—
377C4×C22⋊C4C2316yes—
378C4×C22⋊C4C2316yes—
379C4×C22⋊C4C2316yes—
380C4×C22⋊C4C2316yes—
381C4×C22⋊C4C2316yes—
382C4×C22⋊C4C2316yes—
383C4×C22⋊C4C2316yes—
384C4×C22⋊C4C2316yes—
385C4×C22⋊C4C2316yes—
386C4×C22⋊C4C2316yes—
387C4×C22⋊C4C2316yes—
388C4×C22⋊C4C2316yes—
389C4×C22⋊C4C2316yes—
390C4×C22⋊C4C2316yes—
391C4×C22⋊C4C2316yes—
392C4×C22⋊C4C2316yes—
393C4×C22⋊C4C2316yes—
394C4×C22⋊C4C2316yes—
395C4×C22⋊C4C2313yes—
396C4×C22⋊C4C2316yes—
397#376C2316yes—
398#376C2316yes—
399C2×#95C2313yes—
400C2×#95C2313yes—
401C2×#95C2313yes—
402C2×#95C2313yes—
403C43C2316yes—
404C43C2313yes—
405C25C2411yescharacteristic
406C22×Q8C2413yes—
407C22×Q8C2411yescharacteristic
408C22×D4C2416yes—
409C22×D4C2413yes—
410C22×D4C2416yes—
411C22×D4C2416yes—
412C22×D4C2411yescharacteristic
413C22×D4C2413yes—
414C23×C4—46no—
415C23×C4C2416yes—
416C23×C4C2413yes—
417C23×C4C2413yes—
418C23×C4C2416yes—
419C23×C4C2416yes—
420C23×C4C2416yes—
421C23×C4C2416yes—
422C23×C4C2413yes—
423C23×C4C2413yes—
424C23×C4C2413yes—
425#126—224no—
426#126—224no—
427#126—224no—
428#126—412no—
429#126—82no—
430#125—224no—
431#124—212no—
432#123—224no—
433#123—224no—
434#123#41124yes—
435C22⋊Q8—224no—
436C22⋊Q8—46no—
437C22⋊Q8—86no—
438#121—224no—
439#121—224no—
440#121—224no—
441#121—224no—
442#121—46no—
443#120—212no—
444#120—82no—
445C4×Q8—46no—
446C4×D4—224no—
447C4×D4—224no—
448C4×D4—224no—
449C4×D4—224no—
450C4×D4—224no—
451C4×D4—412no—
452C4×D4—46no—
453C4×D4—46no—
454C4×D4—412no—
455C4×D4—86no—
456C4×D4—86no—
457#117—224no—
458#117—224no—
459C2×C4⋊C4—224no—
460C2×C4⋊C4C2416yes—
461C2×C4⋊C4C2416yes—
462C2×C4⋊C4C2416yes—
463C2×C4⋊C4C2416yes—
464C2×C4⋊C4C2416yes—
465C2×C4⋊C4C2416yes—
466C2×C4⋊C4C2416yes—
467C2×C4⋊C4C2416yes—
468C2×C4⋊C4C2416yes—
469C2×C4⋊C4C2416yes—
470C2×C4⋊C4C2416yes—
471C2×C4⋊C4C2416yes—
472C2×C4⋊C4C2416yes—
473C2×C4⋊C4C2416yes—
474C2×C4⋊C4C2416yes—
475C2×C4⋊C4C2413yes—
476C2×C4⋊C4C2413yes—
477C2×C4⋊C4C2413yes—
478C2×C4⋊C4C2416yes—
479C2×C4⋊C4C2413yes—
480C2×C4⋊C4C2416yes—
481C2×C4⋊C4C2413yes—
482C2×C4⋊C4C2416yes—
483C2×C4⋊C4C2416yes—
484C2×C4⋊C4C2416yes—
485C2×C22⋊C4—224no—
486C2×C22⋊C4C2416yes—
487C2×C22⋊C4C2416yes—
488C2×C22⋊C4C2416yes—
489C2×C22⋊C4C2416yes—
490C2×C22⋊C4C2416yes—
491C2×C22⋊C4C2416yes—
492C2×C22⋊C4C2416yes—
493C2×C22⋊C4C2416yes—
494C2×C22⋊C4C2416yes—
495C2×C22⋊C4C2416yes—
496C2×C22⋊C4C2416yes—
497C2×C22⋊C4C2416yes—
498C2×C22⋊C4C2416yes—
499C2×C22⋊C4C2413yes—
500C2×C22⋊C4C2416yes—
501C2×C22⋊C4C2413yes—
502C2×C22⋊C4C2416yes—
503C2×C22⋊C4C2416yes—
504C2×C22⋊C4C2416yes—
505C2×C22⋊C4C2416yes—
506C2×C22⋊C4C2413yes—
507C2×C22⋊C4C2413yes—
508C2×C22⋊C4C2413yes—
509C2×C22⋊C4C2416yes—
510C2×C22⋊C4C2416yes—
511C2×C22⋊C4C2416yes—
512C2×C22⋊C4C2416yes—
513C2×C22⋊C4C2413yes—
514C2×C42—46no—
515C2×C42—412no—
516C2×C42—82no—
517C2×C42—86no—
518C2×C42C2413yes—
519C2×C42C2416yes—
520C2×C42C2416yes—
521C2×C42C2416yes—
522C2×C42C2413yes—
523C2×C42C2416yes—
524C2×C42C2416yes—
525C2×C42C2416yes—
526C2×C42C2416yes—
527C2×C42C2416yes—
528C2×C42C2416yes—
529C2×C42C2412yes—
530C2×C42C2416yes—
531C2×C42C2416yes—
532C2×C42C2413yes—
533C2×C42C2416yes—
534C2×C42C2416yes—
535#95C2413yes—
536#95C2416yes—
537#95C2416yes—
538#95C2413yes—
539#95C2416yes—
540#95C2413yes—
541#95C2413yes—
542#95C2413yes—
543#95C2413yes—
544#95C2416yes—
545#95C2413yes—
546#95C2416yes—
547#95C2416yes—
548#95C2416yes—
549#95C2416yes—
550#95C2416yes—
551#95C2416yes—
552#95C2413yes—
553#95C2416yes—
554#95C2416yes—
555#95C2416yes—
556#95C2416yes—
557#95C2416yes—
558#95C2416yes—
559#95C2416yes—
560#95C2416yes—
561#95C2416yes—
562#95C2416yes—
563#95C2416yes—
564#95C2416yes—
565#95C2416yes—
566#95C2416yes—
567#95C2416yes—
568#95C2416yes—
569#95C2416yes—
570#95C2411yescharacteristic
571#95C2416yes—
572#95C2413yes—
573#95C2416yes—
574C24—26no—
575C24—43no—
576C24—41no—
577C24C2512yes—
578C24C2513yes—
579C24C2513yes—
580C2×Q8—26no—
581C2×Q8—43no—
582C2×Q8—43no—
583C2×Q8—43no—
584C2×D4—212no—
585C2×D4—212no—
586C2×D4—212no—
587C2×D4—212no—
588C2×D4—212no—
589C2×D4—212no—
590C2×D4—46no—
591C2×D4—43no—
592C2×D4—43no—
593C2×D4—46no—
594C2×D4—43no—
595C2×D4—46no—
596C2×D4—46no—
597C2×D4—43no—
598C2×D4C2×#41112yes—
599C22×C4—212no—
600C22×C4—212no—
601C22×C4—212no—
602C22×C4—212no—
603C22×C4—212no—
604C22×C4—212no—
605C22×C4—212no—
606C22×C4—212no—
607C22×C4—26no—
608C22×C4—26no—
609C22×C4—43no—
610C22×C4—46no—
611C22×C4—43no—
612C22×C4—43no—
613C22×C4—43no—
614C22×C4—46no—
615C22×C4—46no—
616C22×C4—46no—
617C22×C4—46no—
618C22×C4—46no—
619C22×C4—46no—
620C22×C4—46no—
621C22×C4—46no—
622C22×C4—46no—
623C22×C4—46no—
624C22×C4—88no—
625C22×C4C2×#41112yes—
626C22×C4C2511yescharacteristic
627C22×C4C2513yes—
628C22×C4C2516yes—
629C22×C4C2516yes—
630C22×C4C2513yes—
631C22×C4C2516yes—
632C22×C4C2516yes—
633C22×C4C2516yes—
634C22×C4C2516yes—
635C22×C4C2516yes—
636C22×C4C2513yes—
637C22×C4C2513yes—
638C4⋊C4—212no—
639C4⋊C4—212no—
640C4⋊C4—212no—
641C4⋊C4—212no—
642C4⋊C4—212no—
643C4⋊C4—212no—
644C4⋊C4—212no—
645C4⋊C4—212no—
646C4⋊C4—212no—
647C4⋊C4—212no—
648C4⋊C4—212no—
649C4⋊C4—212no—
650C4⋊C4—46no—
651C4⋊C4—43no—
652C4⋊C4—43no—
653C4⋊C4—46no—
654C4⋊C4—46no—
655C4⋊C4—43no—
656C4⋊C4—46no—
657C4⋊C4—43no—
658C4⋊C4—43no—
659C4⋊C4—46no—
660C4⋊C4—46no—
661C4⋊C4—46no—
662C4⋊C4C2×#41124yes—
663C22⋊C4—212no—
664C22⋊C4—212no—
665C22⋊C4—212no—
666C22⋊C4—212no—
667C22⋊C4—212no—
668C22⋊C4—26no—
669C22⋊C4—212no—
670C22⋊C4—212no—
671C22⋊C4—212no—
672C22⋊C4—212no—
673C22⋊C4—212no—
674C22⋊C4—212no—
675C22⋊C4—212no—
676C22⋊C4—212no—
677C22⋊C4—212no—
678C22⋊C4—43no—
679C22⋊C4—43no—
680C22⋊C4—46no—
681C22⋊C4—43no—
682C22⋊C4—46no—
683C22⋊C4—46no—
684C22⋊C4—46no—
685C22⋊C4—46no—
686C22⋊C4—43no—
687C22⋊C4—46no—
688C22⋊C4—46no—
689C22⋊C4C2×#41124yes—
690C22⋊C4C2×#41112yes—
691C42—26no—
692C42—212no—
693C42—212no—
694C42—212no—
695C42—212no—
696C42—212no—
697C42—212no—
698C42—26no—
699C42—46no—
700C42—46no—
701C42—46no—
702C42—43no—
703C42—46no—
704C42—46no—
705C42—46no—
706C42—42no—
707C42—46no—
708C23—26no—
709C23—26no—
710C23—26no—
711C23—23no—
712C23—26no—
713C23—23no—
714C23—23no—
715C23—23no—
716C23—26no—
717C23—26no—
718C23—22no—
719C23—412no—
720C23—86no—
721C23—82no—
722C23C22×#4116yes—
723C23C22×#4116yes—
724C23C2611yescharacteristic
725Q8—86no—
726Q8—161no—
727D4—412no—
728D4—424no—
729D4—424no—
730D4—412no—
731D4—812no—
732D4—161no—
733C2×C4—26no—
734C2×C4—26no—
735C2×C4—26no—
736C2×C4—23no—
737C2×C4—26no—
738C2×C4—26no—
739C2×C4—23no—
740C2×C4—26no—
741C2×C4—26no—
742C2×C4—26no—
743C2×C4—26no—
744C2×C4—26no—
745C2×C4—26no—
746C2×C4—26no—
747C2×C4—26no—
748C2×C4—26no—
749C2×C4—26no—
750C2×C4—23no—
751C2×C4—23no—
752C2×C4—26no—
753C2×C4—26no—
754C2×C4—26no—
755C2×C4—26no—
756C2×C4—23no—
757C2×C4—26no—
758C2×C4—26no—
759C2×C4—26no—
760C2×C4—412no—
761C2×C4—412no—
762C2×C4—412no—
763C2×C4—424no—
764C2×C4—812no—
765C2×C4—812no—
766C2×C4—812no—
767C2×C4—812no—
768C2×C4—86no—
769C2×C4—86no—
770C2×C4C22×#41112yes—
771C2×C4C22×#4116yes—
772C2×C4C22×#41112yes—
773C2×C4#58516yes—
774C22—26no—
775C22—26no—
776C22—212no—
777C22—212no—
778C22—46no—
779C22—46no—
780C22—43no—
781C22—43no—
782C22—43no—
783C22—43no—
784C22—46no—
785C22—42no—
786C22—46no—
787C22—88no—
788C22C23×#4113yes—
789C22C2×#58513yes—
790C22H(7,𝔽2)11yescharacteristic
791C4—212no—
792C4—26no—
793C4—26no—
794C4—212no—
795C4—46no—
796C4—46no—
797C4—46no—
798C4—41no—
799C4—43no—
800C4—46no—
801C4—43no—
802C4—46no—
803C2—46no—
804C2—46no—
805C2—82no—
806C2#41213yes—
807C2#6299213yes—
808C2#6302611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60032C2semidirect
2. #59847C2semidirect
3. #59596C2semidirect
4. #59537C2semidirect
5. #59534C2semidirect
6. #59529C2semidirect
7. #59526C2semidirect
8. #36569C2semidirect
9. #36536C2semidirect
10. #36532C2semidirect
11. #36532C2semidirect
12. #36530C2semidirect
13. #36511C2semidirect
14. C4×#553C2semidirect
15. C4×#551C2semidirect
18. #2865C22semidirect
19. #2864C22semidirect
20. #2855C22semidirect
21. #2855C22semidirect
23. #2852C22semidirect
25. #2785C22semidirect
26. #2769C22semidirect
29. #2722C22semidirect
32. #2675C22semidirect
35. #2606C22semidirect
36. #2604C22semidirect
39. #2600C22semidirect
40. #2600C22semidirect
41. #2590C22semidirect
42. #2590C22semidirect
44. #2589C22semidirect
45. #2586C22semidirect
48. #2578C22semidirect
50. #2577C22semidirect
51. #2577C22semidirect
53. #2572C22semidirect
57. #2560C22semidirect
58. #2560C22semidirect
61. #2559C22semidirect
65. #2549C22semidirect
67. #2536C22semidirect
69. #2524C22semidirect
70. #2524C22semidirect
72. #2520C22semidirect
73. #2519C22semidirect
76. #2495C22semidirect
80. #2473C22semidirect
84. #2468C22semidirect
86. #2467C22semidirect
98. #2373C22semidirect
99. #2373C22semidirect
100. #2373C22semidirect
102. #2370C22semidirect
104. #2368C22semidirect
109. #2361C22semidirect
112. #2357C22semidirect
113. #2356C22semidirect
115. #2353C22semidirect
116. #2353C22semidirect
120. #2345C22semidirect
123. C4×#125C22semidirect
125. C4×#126C22semidirect
126. C4×#126C22semidirect
136. C4×#121C22semidirect
139. C42×D4C22semidirect
140. C42×D4C22semidirect
142. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#600322
#598472
#595962
#595372
#595342
#595292
#595262
#365692
#365362
#365322
#365302
#365112
C4×#5532
C4×#5512