Finite Group Databasebeta

← #9712331

Subgroups — #9712331

Order 512.

4220 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58987C211yesmaximal, characteristic, complemented
2#58599C216yesmaximal, complemented
3#54068C216yesmaximal, complemented
4#53785C216yesmaximal, complemented
5#53307C212yesmaximal, complemented
6#51254C216yesmaximal, complemented
7#50719C213yesmaximal, complemented
8#48812C213yesmaximal
9#47062C216yesmaximal, complemented
10#45351C213yesmaximal, complemented
11#43078C213yesmaximal, complemented
12#41604C213yesmaximal, complemented
13#41436C213yesmaximal, complemented
14#38631C216yesmaximal, complemented
15#38046C216yesmaximal, complemented
16C2×H(3,𝔽4)C2211yescharacteristic
17C2×#551C2213yes—
18C22×#126C2212yescomplemented
19#2853C2216yes—
20#2842C2211yescharacteristic, complemented
21#2841C2213yescomplemented
22#2838C2216yescomplemented
23#2836C2216yescomplemented
24#2834C2213yescomplemented
25#2833C2216yescomplemented
26#2799C2213yescomplemented
27#2799C2213yescomplemented
28#2793C2216yescomplemented
29#2793C2216yescomplemented
30#2792C2216yescomplemented
31#2791C2216yescomplemented
32#2790C2216yescomplemented
33#2787C2216yescomplemented
34#2783C2216yescomplemented
35#2776C2216yescomplemented
36#2773C2216yescomplemented
37#2768C2216yescomplemented
38#2765C2216yescomplemented
39#2764C2213yescomplemented
40#2764C2216yescomplemented
41#2761C2216yes—
42#2755C2216yescomplemented
43#2755C2216yescomplemented
44#2754C2216yescomplemented
45#2754C2216yescomplemented
46#2751C2216yes—
47#2747C2216yescomplemented
48#2745C2216yescomplemented
49#2745C2216yescomplemented
50#2744C2216yescomplemented
51#2744C2216yescomplemented
52#2740C2216yes—
53#2736C2211yescharacteristic, complemented
54#2735C2216yescomplemented
55#2722C2216yescomplemented
56#2722C2216yescomplemented
57#2718C2216yes—
58#2718C2216yes—
59#2717C2213yes—
60#2717C2216yes—
61#2715C2216yes—
62#2704C2216yescomplemented
63#2700C2216yes—
64#2697C2216yes—
65#2695C2216yes—
66#2695C2216yes—
67#2689C2216yescomplemented
68#2689C2216yescomplemented
69#2687C2216yes—
70#2684C2213yes—
71#2674C2216yes—
72#2666C2216yescomplemented
73#2665C2213yescomplemented
74#2660C2213yescomplemented
75#2655C2216yescomplemented
76#2654C2216yescomplemented
77#2649C2216yes—
78#2633C2213yes—
79#2627C2216yescomplemented
80#2622C2216yes—
81#2609C2216yes—
82#2606C2213yescomplemented
83#2599C2216yescomplemented
84#2594C2216yescomplemented
85#2588C2216yescomplemented
86#2586C2213yescomplemented
87#2586C2213yescomplemented
88#2585C2216yescomplemented
89#2576C2216yes—
90#2569C2213yescomplemented
91#2569C2216yescomplemented
92#2547C2213yes—
93#2534C2213yes—
94#2532C2216yescomplemented
95#2527C2216yescomplemented
96#2525C2216yescomplemented
97#2522C2216yescomplemented
98#2521C2216yes—
99#2521C2216yes—
100#2521C2216yes—
101#2517C2216yescomplemented
102#2517C2213yescomplemented
103#2515C2216yescomplemented
104#2510C2216yes—
105#2502C2216yescomplemented
106#2496C2216yescomplemented
107#2496C2216yescomplemented
108#2487C2216yes—
109#2484C2216yescomplemented
110#2483C2213yescomplemented
111#2482C2213yescomplemented
112#2478C2216yescomplemented
113#2478C2216yescomplemented
114#2477C2216yes—
115#2475C2216yescomplemented
116#2474C2216yes—
117#2474C2216yes—
118#2468C2216yes—
119#2468C2216yes—
120#2458C2216yes—
121#2451C2216yescomplemented
122#2447C2216yes—
123#2437C2213yescomplemented
124#2423C2216yescomplemented
125#2418C2216yes—
126#2413C2216yes—
127#2412C2216yes—
128#2409C2213yes—
129#2395C2213yes—
130C2×#393C2211yescharacteristic, complemented
131#2381C2213yescomplemented
132#2355C2216yescomplemented
133#2353C2213yes—
134#2347C2213yescomplemented
135#2342C2216yescomplemented
136Q8×C22⋊C4C2213yescomplemented
137#2336C2213yescomplemented
138#2323C2216yescomplemented
139#2322C2216yes—
140#2321C2213yes—
141#2315C2213yescomplemented
142#2312C2213yescomplemented
143#2296C2216yescomplemented
144C23×Q8C2311yescharacteristic
145H(3,𝔽4)—44no—
146#551—412no—
147C2×C4⋊Q8C2313yes—
148C2×#126—48no—
149C2×#126C2312yes—
150C2×#126C2316yes—
151C2×#126C2312yes—
152C2×#126C2316yes—
153C2×#126C2316yes—
154C2×#125C2313yes—
155C2×#124C2316yes—
156C2×#124C2313yes—
157C2×#124C2313yes—
158C2×#123C2316yes—
159C2×#123C2316yes—
160C2×#123C2313yes—
161C2×C22⋊Q8C2316yes—
162C2×C22⋊Q8C2316yes—
163C2×#120C2313yes—
164C2×#120C2312yes—
165C2×#120C2311yescharacteristic
166C2×C4×Q8C2316yes—
167C2×C4×D4C2313yes—
168C2×C4×D4C2316yes—
169C2×#117C2313yes—
170C2×#117C2316yes—
171C2×#117C2316yes—
172C22×C4⋊C4C2316yes—
173C22×C22⋊C4C2316yes—
174C22×C22⋊C4C2313yes—
175C22×C22⋊C4C2313yes—
176C22×C42C2312yes—
177#401C2316yes—
178#401C2316yes—
179#400C2316yes—
180#400C2316yes—
181#400C2316yes—
182#400C2316yes—
183#400C2316yes—
184#400C2316yes—
185#400C2316yes—
186#400C2313yes—
187#400C2316yes—
188#400C2316yes—
189#400C2316yes—
190#400C2316yes—
191#400C2316yes—
192#399C2313yes—
193#399C2316yes—
194#399C2316yes—
195#399C2313yes—
196#399C2311yescharacteristic
197#399C2316yes—
198#398C2316yes—
199#398C2316yes—
200#398C2316yes—
201#398C2316yes—
202#398C2316yes—
203#398C2316yes—
204#398C2316yes—
205#398C2316yes—
206#398C2316yes—
207#398C2316yes—
208#398C2316yes—
209#398C2316yes—
210#398C2316yes—
211#398C2313yes—
212#398C2316yes—
213#398C2316yes—
214#398C2316yes—
215#398C2316yes—
216#398C2316yes—
217#398C2316yes—
218#397C2316yes—
219#397C2316yes—
220#397C2313yes—
221#397C2316yes—
222#397C2316yes—
223#397C2316yes—
224#397C2316yes—
225#397C2316yes—
226#397C2316yes—
227#397C2316yes—
228#397C2316yes—
229#397C2313yes—
230#397C2316yes—
231#397C2313yes—
232#397C2316yes—
233#397C2316yes—
234#397C2316yes—
235#397C2316yes—
236#396C2316yes—
237#396C2316yes—
238#396C2316yes—
239#396C2316yes—
240#396C2312yes—
241#396C2316yes—
242#396C2316yes—
243#396C2316yes—
244#395C2316yes—
245#395C2316yes—
246#395C2316yes—
247#395C2316yes—
248#395C2313yes—
249#395C2313yes—
250#395C2316yes—
251#394C2316yes—
252#394C2316yes—
253#394C2316yes—
254#394C2316yes—
255#394C2316yes—
256#394C2316yes—
257#393C2316yes—
258#393C2313yes—
259#393C2316yes—
260#393C2312yes—
261#393C2313yes—
262#391C2316yes—
263#391C2316yes—
264#391C2313yes—
265#391C2316yes—
266#391C2313yes—
267#391C2316yes—
268#391C2316yes—
269#391C2316yes—
270#391C2316yes—
271#391C2316yes—
272#390C2316yes—
273#389C2316yes—
274#389C2316yes—
275#389C2316yes—
276#389C2316yes—
277#389C2316yes—
278#389C2316yes—
279#389C2316yes—
280#389C2316yes—
281#389C2316yes—
282#389C2316yes—
283#389C2316yes—
284#389C2316yes—
285#388C2316yes—
286#388C2316yes—
287#388C2316yes—
288#388C2316yes—
289#388C2316yes—
290#388C2316yes—
291#388C2316yes—
292#388C2316yes—
293#388C2316yes—
294#388C2316yes—
295#388C2316yes—
296#388C2316yes—
297#388C2316yes—
298#388C2316yes—
299#388C2316yes—
300#388C2316yes—
301#388C2316yes—
302#388C2316yes—
303#388C2316yes—
304#388C2316yes—
305#388C2316yes—
306#388C2316yes—
307#388C2316yes—
308#388C2316yes—
309#388C2316yes—
310#387C2316yes—
311#387C2316yes—
312#387C2316yes—
313#387C2316yes—
314#387C2316yes—
315#387C2316yes—
316#387C2316yes—
317#387C2316yes—
318#387C2316yes—
319#387C2316yes—
320#387C2316yes—
321#387C2316yes—
322#387C2316yes—
323#387C2316yes—
324#387C2316yes—
325#387C2316yes—
326#387C2316yes—
327#387C2316yes—
328#387C2316yes—
329#387C2316yes—
330#387C2316yes—
331#387C2316yes—
332#387C2316yes—
333#387C2316yes—
334#387C2316yes—
335#387C2316yes—
336#387C2316yes—
337#387C2316yes—
338#387C2316yes—
339#387C2316yes—
340#387C2316yes—
341#386C2316yes—
342#386C2316yes—
343#386C2313yes—
344#386C2316yes—
345#386C2316yes—
346#386C2316yes—
347#386C2316yes—
348#385C2313yes—
349#385C2316yes—
350#385C2316yes—
351#385C2316yes—
352#385C2316yes—
353#385C2316yes—
354#385C2316yes—
355#385C2316yes—
356#385C2316yes—
357#385C2316yes—
358#385C2316yes—
359#385C2316yes—
360#385C2316yes—
361#385C2316yes—
362#385C2316yes—
363#385C2316yes—
364#384C2316yes—
365#384C2316yes—
366#383C2313yes—
367#383C2316yes—
368#383C2313yes—
369#382C2316yes—
370#382C2316yes—
371#382C2316yes—
372#381C2316yes—
373#381C2316yes—
374#381C2313yes—
375#381C2316yes—
376#381C2313yes—
377#381C2316yes—
378#380C2316yes—
379#380C2316yes—
380#380C2313yes—
381#380C2316yes—
382#380C2316yes—
383#380C2313yes—
384#380C2316yes—
385#380C2316yes—
386#380C2316yes—
387#380C2313yes—
388#379C2316yes—
389#379C2313yes—
390#379C2313yes—
391C4×C4⋊C4C2316yes—
392C4×C4⋊C4C2316yes—
393C4×C4⋊C4C2316yes—
394C4×C4⋊C4C2316yes—
395C4×C4⋊C4C2316yes—
396C4×C4⋊C4C2313yes—
397C4×C4⋊C4C2316yes—
398C4×C22⋊C4C2313yes—
399C4×C22⋊C4C2313yes—
400C4×C22⋊C4C2313yes—
401C4×C22⋊C4C2316yes—
402C4×C22⋊C4C2316yes—
403C4×C22⋊C4C2316yes—
404#376C2313yes—
405C2×#95C2313yes—
406C25C2411yescharacteristic
407C25C2411yescharacteristic
408C22×Q8—46no—
409C22×Q8C2413yes—
410C22×Q8C2413yes—
411C22×Q8C2413yes—
412C22×Q8C2411yescharacteristic
413C22×D4C2416yes—
414C22×D4C2413yes—
415C23×C4C2416yes—
416C23×C4C2416yes—
417C23×C4C2413yes—
418C23×C4C2413yes—
419C23×C4C2413yes—
420C23×C4C2413yes—
421C4⋊Q8—46no—
422#126—412no—
423#126—44no—
424#126—44no—
425#126—412no—
426#126—412no—
427#125—46no—
428#124—46no—
429#124—412no—
430#124—46no—
431#123—412no—
432#123—46no—
433#123—412no—
434C22⋊Q8—412no—
435C22⋊Q8—412no—
436#120—212no—
437#120—44no—
438#120—42no—
439C4×Q8—412no—
440C4×D4—46no—
441C4×D4—412no—
442#117—46no—
443#117—412no—
444#117—412no—
445C2×C4⋊C4—412no—
446C2×C4⋊C4C2416yes—
447C2×C4⋊C4C2416yes—
448C2×C4⋊C4C2416yes—
449C2×C4⋊C4C2416yes—
450C2×C4⋊C4C2416yes—
451C2×C4⋊C4C2416yes—
452C2×C4⋊C4C2416yes—
453C2×C4⋊C4C2416yes—
454C2×C4⋊C4C2413yes—
455C2×C4⋊C4C2416yes—
456C2×C4⋊C4C2413yes—
457C2×C4⋊C4C2416yes—
458C2×C4⋊C4C2413yes—
459C2×C4⋊C4C2416yes—
460C2×C4⋊C4C2416yes—
461C2×C4⋊C4C2416yes—
462C2×C4⋊C4C2416yes—
463C2×C4⋊C4C2416yes—
464C2×C4⋊C4C2416yes—
465C2×C4⋊C4C2416yes—
466C2×C4⋊C4C2413yes—
467C2×C4⋊C4C2413yes—
468C2×C4⋊C4C2416yes—
469C2×C4⋊C4C2416yes—
470C2×C4⋊C4C2416yes—
471C2×C4⋊C4C2416yes—
472C2×C4⋊C4C2416yes—
473C2×C4⋊C4C2416yes—
474C2×C4⋊C4C2416yes—
475C2×C4⋊C4C2416yes—
476C2×C4⋊C4C2416yes—
477C2×C4⋊C4C2416yes—
478C2×C22⋊C4—224no—
479C2×C22⋊C4—46no—
480C2×C22⋊C4—46no—
481C2×C22⋊C4C2416yes—
482C2×C22⋊C4C2416yes—
483C2×C22⋊C4C2416yes—
484C2×C22⋊C4C2416yes—
485C2×C22⋊C4C2416yes—
486C2×C22⋊C4C2416yes—
487C2×C22⋊C4C2416yes—
488C2×C22⋊C4C2413yes—
489C2×C22⋊C4C2416yes—
490C2×C22⋊C4C2416yes—
491C2×C22⋊C4C2416yes—
492C2×C22⋊C4C2416yes—
493C2×C22⋊C4C2416yes—
494C2×C22⋊C4C2413yes—
495C2×C22⋊C4C2413yes—
496C2×C22⋊C4C2413yes—
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⋊C4C2416yes—
507C2×C42—44no—
508C2×C42C2416yes—
509C2×C42C2413yes—
510C2×C42C2413yes—
511C2×C42C2416yes—
512C2×C42C2416yes—
513C2×C42C2416yes—
514C2×C42C2416yes—
515C2×C42C2413yes—
516C2×C42C2416yes—
517C2×C42C2412yes—
518C2×C42C2416yes—
519#95C2413yes—
520#95C2413yes—
521#95C2416yes—
522#95C2413yes—
523#95C2416yes—
524#95C2413yes—
525#95C2416yes—
526#95C2416yes—
527#95C2413yes—
528#95C2416yes—
529#95C2416yes—
530#95C2416yes—
531#95C2416yes—
532#95C2416yes—
533#95C2413yes—
534#95C2416yes—
535#95C2416yes—
536#95C2416yes—
537#95C2416yes—
538#95C2416yes—
539#95C2416yes—
540#95C2416yes—
541#95C2416yes—
542#95C2416yes—
543#95C2416yes—
544#95C2416yes—
545#95C2416yes—
546#95C2413yes—
547#95C2416yes—
548#95C2416yes—
549#95C2416yes—
550#95C2416yes—
551#95C2413yes—
552#95C2416yes—
553#95C2413yes—
554#95C2416yes—
555#95C2416yes—
556#95C2416yes—
557#95C2416yes—
558#95C2416yes—
559#95C2416yes—
560#95C2411yescharacteristic
561#95C2416yes—
562#95C2416yes—
563#95C2416yes—
564C24—43no—
565C24—43no—
566C24—43no—
567C24—43no—
568C24—41no—
569C24H(5,𝔽2)14yes—
570C24C2513yes—
571C24C2512yes—
572C24C2511yescharacteristic
573C2×Q8—212no—
574C2×Q8—43no—
575C2×Q8—43no—
576C2×Q8—43no—
577C2×Q8—43no—
578C2×Q8—43no—
579C2×Q8—43no—
580C2×Q8—43no—
581C2×Q8—43no—
582C2×Q8—88no—
583C2×D4—212no—
584C2×D4—26no—
585C2×D4—43no—
586C2×D4—46no—
587C2×D4—46no—
588C2×D4—43no—
589C22×C4—212no—
590C22×C4—212no—
591C22×C4—26no—
592C22×C4—26no—
593C22×C4—46no—
594C22×C4—46no—
595C22×C4—46no—
596C22×C4—46no—
597C22×C4—46no—
598C22×C4—46no—
599C22×C4—43no—
600C22×C4—43no—
601C22×C4—43no—
602C22×C4—46no—
603C22×C4—43no—
604C22×C4C2516yes—
605C22×C4C2513yes—
606C22×C4C2516yes—
607C22×C4C2513yes—
608C22×C4C2513yes—
609C22×C4C2516yes—
610C22×C4C2513yes—
611C22×C4C2516yes—
612C22×C4C2516yes—
613C22×C4C2516yes—
614C22×C4C2516yes—
615C22×C4C2513yes—
616C4⋊C4—212no—
617C4⋊C4—212no—
618C4⋊C4—46no—
619C4⋊C4—46no—
620C4⋊C4—46no—
621C4⋊C4—46no—
622C4⋊C4—46no—
623C4⋊C4—46no—
624C4⋊C4—46no—
625C4⋊C4—46no—
626C4⋊C4—46no—
627C4⋊C4—46no—
628C4⋊C4—46no—
629C4⋊C4—46no—
630C4⋊C4—46no—
631C4⋊C4—43no—
632C4⋊C4—46no—
633C4⋊C4—43no—
634C4⋊C4—46no—
635C4⋊C4—46no—
636C4⋊C4—43no—
637C4⋊C4—46no—
638C4⋊C4—46no—
639C4⋊C4—46no—
640C4⋊C4—46no—
641C4⋊C4—46no—
642C4⋊C4—46no—
643C4⋊C4—46no—
644C4⋊C4—43no—
645C4⋊C4—43no—
646C4⋊C4—46no—
647C4⋊C4—46no—
648C22⋊C4—212no—
649C22⋊C4—212no—
650C22⋊C4—212no—
651C22⋊C4—212no—
652C22⋊C4—212no—
653C22⋊C4—26no—
654C22⋊C4—212no—
655C22⋊C4—212no—
656C22⋊C4—46no—
657C22⋊C4—46no—
658C22⋊C4—46no—
659C22⋊C4—46no—
660C22⋊C4—46no—
661C22⋊C4—46no—
662C22⋊C4—43no—
663C22⋊C4—46no—
664C22⋊C4—46no—
665C22⋊C4—46no—
666C22⋊C4—43no—
667C22⋊C4—43no—
668C22⋊C4—46no—
669C22⋊C4—46no—
670C22⋊C4—43no—
671C22⋊C4—46no—
672C22⋊C4—46no—
673C22⋊C4—43no—
674C42—212no—
675C42—26no—
676C42—46no—
677C42—42no—
678C42—46no—
679C42—46no—
680C42—43no—
681C42—46no—
682C42—46no—
683C42—46no—
684C42—43no—
685C23—26no—
686C23—23no—
687C23—26no—
688C23—23no—
689C23—23no—
690C23—26no—
691C23—23no—
692C23—26no—
693C23—23no—
694C23—412no—
695C23—86no—
696C23—161no—
697C23—163no—
698C23—161no—
699C23—163no—
700C23C2×H(5,𝔽2)12yes—
701C23C2×H(5,𝔽2)14yes—
702C23C2611yescharacteristic
703Q8—412no—
704Q8—82no—
705Q8—163no—
706Q8—163no—
707D4—812no—
708D4—86no—
709C2×C4—26no—
710C2×C4—26no—
711C2×C4—26no—
712C2×C4—23no—
713C2×C4—26no—
714C2×C4—26no—
715C2×C4—26no—
716C2×C4—26no—
717C2×C4—26no—
718C2×C4—23no—
719C2×C4—23no—
720C2×C4—26no—
721C2×C4—26no—
722C2×C4—26no—
723C2×C4—26no—
724C2×C4—26no—
725C2×C4—26no—
726C2×C4—23no—
727C2×C4—23no—
728C2×C4—26no—
729C2×C4—26no—
730C2×C4—26no—
731C2×C4—26no—
732C2×C4—26no—
733C2×C4—26no—
734C2×C4—26no—
735C2×C4—26no—
736C2×C4—26no—
737C2×C4—26no—
738C2×C4—26no—
739C2×C4—23no—
740C2×C4—424no—
741C2×C4—86no—
742C2×C4—86no—
743C2×C4—812no—
744C2×C4—163no—
745C2×C4—163no—
746C2×C4#58516yes—
747C22—212no—
748C22—26no—
749C22—41no—
750C22—42no—
751C22—43no—
752C22—46no—
753C22—43no—
754C22—46no—
755C22—43no—
756C22—43no—
757C22—46no—
758C22—164no—
759C22—164no—
760C22C22×H(5,𝔽2)11yescharacteristic
761C22C2×#58513yes—
762C222−1+613yes—
763C4—26no—
764C4—43no—
765C4—43no—
766C4—46no—
767C4—43no—
768C4—46no—
769C4—46no—
770C4—46no—
771C4—46no—
772C4—46no—
773C4—46no—
774C4—43no—
775C2—44no—
776C2—42no—
777C2—83no—
778C2#6289113yes—
779C2#6290113yes—
780C2#6302611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×H(3,𝔽4)C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58987C2semidirect
2. #58599C2semidirect
3. #54068C2semidirect
4. #53785C2semidirect
5. #53307C2semidirect
6. #51254C2semidirect
7. #50719C2semidirect
9. #47062C2semidirect
10. #45351C2semidirect
11. #43078C2semidirect
12. #41604C2semidirect
13. #41436C2semidirect
14. #38631C2semidirect
15. #38046C2semidirect
18. C22×#126C22semidirect
20. #2842C22semidirect
21. #2841C22semidirect
22. #2838C22semidirect
23. #2836C22semidirect
24. #2834C22semidirect
25. #2833C22semidirect
26. #2799C22semidirect
27. #2799C22semidirect
28. #2793C22semidirect
29. #2793C22semidirect
30. #2792C22semidirect
31. #2791C22semidirect
32. #2790C22semidirect
33. #2787C22semidirect
34. #2783C22semidirect
35. #2776C22semidirect
36. #2773C22semidirect
37. #2768C22semidirect
38. #2765C22semidirect
39. #2764C22semidirect
40. #2764C22semidirect
42. #2755C22semidirect
43. #2755C22semidirect
44. #2754C22semidirect
45. #2754C22semidirect
47. #2747C22semidirect
48. #2745C22semidirect
49. #2745C22semidirect
50. #2744C22semidirect
51. #2744C22semidirect
53. #2736C22semidirect
54. #2735C22semidirect
55. #2722C22semidirect
56. #2722C22semidirect
62. #2704C22semidirect
67. #2689C22semidirect
68. #2689C22semidirect
72. #2666C22semidirect
73. #2665C22semidirect
74. #2660C22semidirect
75. #2655C22semidirect
76. #2654C22semidirect
79. #2627C22semidirect
82. #2606C22semidirect
83. #2599C22semidirect
84. #2594C22semidirect
85. #2588C22semidirect
86. #2586C22semidirect
87. #2586C22semidirect
88. #2585C22semidirect
90. #2569C22semidirect
91. #2569C22semidirect
94. #2532C22semidirect
95. #2527C22semidirect
96. #2525C22semidirect
97. #2522C22semidirect
101. #2517C22semidirect
102. #2517C22semidirect
103. #2515C22semidirect
105. #2502C22semidirect
106. #2496C22semidirect
107. #2496C22semidirect
109. #2484C22semidirect
110. #2483C22semidirect
111. #2482C22semidirect
112. #2478C22semidirect
113. #2478C22semidirect
115. #2475C22semidirect
121. #2451C22semidirect
123. #2437C22semidirect
124. #2423C22semidirect
130. C2×#393C22semidirect
131. #2381C22semidirect
132. #2355C22semidirect
134. #2347C22semidirect
135. #2342C22semidirect
136. Q8×C22⋊C4C22semidirect
137. #2336C22semidirect
138. #2323C22semidirect
141. #2315C22semidirect
142. #2312C22semidirect
143. #2296C22semidirect

Maximal subgroups

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

subgroupindex
#589872
#585992
#540682
#537852
#533072
#512542
#507192
#488122
#470622
#453512
#430782
#416042
#414362
#386312
#380462