Finite Group Databasebeta

← #8751421

Subgroups — #8751421

Order 512.

5521 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59818C211yesmaximal, characteristic, complemented
2#59483C212yesmaximal, complemented
3#58588C212yesmaximal, complemented
4#57294C214yesmaximal, complemented
5#57196C214yesmaximal, complemented
6#55450C214yesmaximal, complemented
7#54892C214yesmaximal, complemented
8#52967C211yesmaximal, characteristic, complemented
9#52956C212yesmaximal, complemented
10#52413C212yesmaximal, complemented
11#52329C214yesmaximal, complemented
12#47659C212yesmaximal, complemented
13#45351C211yesmaximal, characteristic, complemented
14#45246C212yesmaximal, complemented
15#45243C212yesmaximal, complemented
16#44930C212yesmaximal, complemented
17#44892C212yesmaximal, complemented
18#42967C211yesmaximal, characteristic, complemented
19#42950C212yesmaximal, complemented
20#42831C212yesmaximal, complemented
21#42800C212yesmaximal, complemented
22#42602C212yesmaximal, complemented
23#42023C212yesmaximal, complemented
24#41349C214yesmaximal, complemented
25#40098C212yesmaximal, complemented
26#38951C211yesmaximal, characteristic, complemented
27#36696C211yesmaximal, characteristic, complemented
28#36085C211yesmaximal, characteristic, complemented
29#35757C212yesmaximal, complemented
30C22×2−1+4C2211yescharacteristic, complemented
31C2×#550C2212yes—
32C2×#548C2212yes—
33C2×#548C2212yes—
34C2×#547C2211yescharacteristic
35C2×#547C2212yes—
36C2×#547C2211yescharacteristic, complemented
37C2×#546C2212yes—
38C2×#541C2212yescomplemented
39C2×#535C2211yescharacteristic
40#2862C2211yescharacteristic, complemented
41#2843C2211yescharacteristic, complemented
42#2838C2214yescomplemented
43#2833C2214yescomplemented
44#2832C2212yes—
45#2830C2212yes—
46#2830C2211yescharacteristic, complemented
47#2829C2212yes—
48#2829C2212yescomplemented
49#2829C2212yescomplemented
50#2829C2214yescomplemented
51#2828C2212yes—
52#2828C2214yes—
53#2828C2211yescharacteristic, complemented
54#2826C2214yescomplemented
55#2825C2214yescomplemented
56#2825C2214yescomplemented
57#2823C2211yescharacteristic, complemented
58#2820C2214yescomplemented
59#2818C2212yes—
60#2814C2214yes—
61#2813C2212yes—
62#2812C2212yes—
63#2799C2212yescomplemented
64#2788C2214yescomplemented
65#2784C2214yescomplemented
66#2781C2214yescomplemented
67#2778C2214yes—
68#2775C2214yes—
69#2775C2214yescomplemented
70#2768C2214yescomplemented
71#2761C2214yescomplemented
72#2759C2214yescomplemented
73#2754C2214yes—
74#2753C2214yescomplemented
75#2749C2214yescomplemented
76#2749C2214yescomplemented
77#2740C2214yescomplemented
78#2736C2212yes—
79#2733C2212yes—
80#2723C2214yescomplemented
81#2722C2212yescomplemented
82#2720C2214yescomplemented
83#2715C2214yescomplemented
84#2715C2214yescomplemented
85#2714C2214yes—
86#2714C2214yescomplemented
87#2714C2214yescomplemented
88#2714C2214yescomplemented
89#2711C2214yes—
90#2711C2214yescomplemented
91#2709C2214yescomplemented
92#2707C2214yescomplemented
93#2706C2214yes—
94#2706C2214yescomplemented
95#2705C2214yes—
96#2705C2214yescomplemented
97#2704C2214yescomplemented
98#2703C2214yescomplemented
99#2701C2214yescomplemented
100#2697C2214yes—
101#2691C2214yescomplemented
102#2690C2214yescomplemented
103#2686C2214yes—
104#2684C2214yes—
105#2682C2214yes—
106#2680C2212yes—
107#2678C2214yes—
108#2678C2214yes—
109#2673C2214yes—
110#2672C2214yescomplemented
111#2671C2214yes—
112#2671C2214yescomplemented
113#2670C2214yes—
114#2669C2214yes—
115#2669C2212yes—
116#2668C2214yes—
117#2665C2214yescomplemented
118#2662C2214yescomplemented
119#2661C2212yes—
120#2653C2214yes—
121#2649C2214yes—
122#2643C2214yescomplemented
123#2636C2214yescomplemented
124#2636C2214yescomplemented
125#2630C2214yes—
126#2626C2214yes—
127#2625C2211yescharacteristic
128#2620C2212yes—
129#2620C2212yes—
130#2618C2212yes—
131#2616C2211yescharacteristic, complemented
132#2615C2212yes—
133#2615C2214yescomplemented
134#2614C2212yes—
135#2602C2214yescomplemented
136#2591C2212yes—
137#2586C2212yescomplemented
138#2578C2214yescomplemented
139#2576C2214yescomplemented
140#2576C2214yescomplemented
141#2574C2214yescomplemented
142#2566C2214yescomplemented
143#2566C2212yescomplemented
144#2562C2212yes—
145#2559C2214yescomplemented
146#2558C2214yes—
147#2555C2212yes—
148#2554C2214yescomplemented
149#2554C2214yescomplemented
150#2547C2211yescharacteristic
151#2545C2212yes—
152#2545C2212yes—
153#2542C2211yescharacteristic, complemented
154#2540C2212yes—
155#2538C2212yescomplemented
156#2536C2212yes—
157#2535C2212yes—
158#2534C2214yes—
159#2521C2214yes—
160#2521C2214yescomplemented
161#2517C2212yescomplemented
162#2514C2212yescomplemented
163#2510C2214yescomplemented
164#2502C2212yescomplemented
165#2496C2212yescomplemented
166#2494C2212yescomplemented
167#2491C2212yes—
168#2490C2212yes—
169#2490C2212yes—
170#2489C2212yescomplemented
171#2487C2212yescomplemented
172#2481C2214yescomplemented
173#2473C2214yescomplemented
174#2472C2214yes—
175#2471C2214yescomplemented
176#2464C2214yes—
177#2460C2214yescomplemented
178#2457C2214yescomplemented
179#2454C2214yescomplemented
180#2453C2212yescomplemented
181#2451C2212yescomplemented
182#2450C2214yescomplemented
183#2448C2212yes—
184#2447C2212yes—
185#2445C2212yes—
186#2444C2214yescomplemented
187#2443C2214yes—
188#2436C2212yes—
189#2436C2214yescomplemented
190#2435C2211yescharacteristic
191#2434C2212yescomplemented
192#2434C2211yescharacteristic, complemented
193#2432C2212yes—
194#2431C2212yes—
195#2431C2212yes—
196#2431C2212yes—
197#2431C2214yescomplemented
198#2431C2214yescomplemented
199#2431C2214yescomplemented
200#2430C2214yes—
201#2430C2212yes—
202#2430C2214yescomplemented
203#2428C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2424C2214yes—
207#2423C2212yes—
208#2422C2212yes—
209#2421C2212yescomplemented
210#2418C2214yes—
211#2417C2212yes—
212#2417C2212yescomplemented
213#2416C2214yes—
214#2416C2212yes—
215#2409C2211yescharacteristic
216#2409C2212yes—
217#2409C2212yescomplemented
218#2409C2214yescomplemented
219#2408C2212yes—
220#2408C2211yescharacteristic
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2214yescomplemented
226#2407C2214yescomplemented
227#2406C2212yescomplemented
228#2406C2214yescomplemented
229#2395C2211yescharacteristic
230#2395C2212yescomplemented
231#2392C2212yes—
232#2392C2212yes—
233#2392C2212yescomplemented
234#2388C2211yescharacteristic
235#2388C2212yescomplemented
236#2388C2214yescomplemented
237C2×#395C2212yescomplemented
238#2366C2212yes—
239#2365C2212yescomplemented
240#2360C2212yescomplemented
241#2359C2214yescomplemented
242#2358C2212yes—
243#2355C2212yescomplemented
244#2341C2211yescharacteristic
245#2341C2212yescomplemented
246Q8×C22⋊C4C2212yescomplemented
247Q8×C22⋊C4C2212yescomplemented
248#2339C2212yescomplemented
249#2339C2211yescharacteristic, complemented
250#2337C2214yescomplemented
251#2324C2212yescomplemented
252#2323C2212yes—
253#2311C2212yes—
254#2311C2212yescomplemented
255C4×#127C2211yescharacteristic
256C4×#126C2212yescomplemented
257C4×#124C2212yes—
258#2293C2211yescharacteristic, complemented
259C2×2−1+4—48no—
260C2×2−1+4—44no—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2311yescharacteristic
266C22×#41C2314yes—
267C22×#41C2312yes—
268C22×#41C2312yes—
269C23×Q8C2311yescharacteristic
270C23×Q8C2312yes—
271C23×Q8C2312yes—
272C23×D4C2311yescharacteristic
273#550—48no—
274#548—48no—
275#548—48no—
276#547—44no—
277#547—44no—
278#547—48no—
279#546—48no—
280#541—48no—
281#535—44no—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2311yescharacteristic
287C2×#127C2314yes—
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#125C2312yes—
293C2×#125C2314yes—
294C2×#125C2314yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2312yes—
302C2×#123C2314yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2312yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#120C2312yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365#401C2314yes—
366#401C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2311yescharacteristic
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2312yes—
380#399C2311yescharacteristic
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#398C2312yes—
385#398C2311yescharacteristic
386#398C2312yes—
387#398C2312yes—
388#398C2314yes—
389#398C2312yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#397C2312yes—
405#397C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2312yes—
409#397C2311yescharacteristic
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#396C2312yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2312yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2312yes—
429#396C2312yes—
430#396C2314yes—
431#396C2312yes—
432#396C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2312yes—
442#395C2311yescharacteristic
443#395C2314yes—
444#395C2312yes—
445#395C2312yes—
446#395C2314yes—
447#395C2312yes—
448#395C2314yes—
449#395C2312yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2311yescharacteristic
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#393C2314yes—
494#393C2311yescharacteristic
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2312yes—
500#393C2314yes—
501#393C2314yes—
502#392C2312yes—
503#392C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2312yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2311yescharacteristic
516#392C2312yes—
517#392C2312yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2312yes—
541#391C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#383C2312yes—
669#383C2314yes—
670#382C2314yes—
671#382C2314yes—
672#382C2312yes—
673#382C2314yes—
674#381C2314yes—
675#381C2314yes—
676#381C2312yes—
677#380C2311yescharacteristic
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2311yescharacteristic
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C2×#95C2314yes—
721C2×#95C2312yes—
722C43C2311yescharacteristic
723C25C2412yes—
7242−1+4—464no—
725C2×#41—28no—
726C2×#41—28no—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—24no—
730C2×#41—48no—
731C2×#41—44no—
732C2×#41—42no—
733C2×#41—44no—
734C2×#41—48no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—48no—
739C2×#41—48no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—44no—
743C2×#41—44no—
744C2×#41—82no—
745C22×Q8—28no—
746C22×Q8—28no—
747C22×Q8—44no—
748C22×Q8—48no—
749C22×Q8—44no—
750C22×Q8—44no—
751C22×Q8—42no—
752C22×Q8C2411yescharacteristic
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×Q8C2414yes—
758C22×Q8C2411yescharacteristic
759C22×D4—42no—
760C22×D4—44no—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2411yescharacteristic
764C22×D4C2411yescharacteristic
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2411yescharacteristic
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C4⋊Q8—28no—
799C4⋊Q8—42no—
800C4⋊Q8—42no—
801#127—28no—
802#127—42no—
803#127—48no—
804#126—44no—
805#126—48no—
806#126—48no—
807#126—84no—
808#125—44no—
809#125—48no—
810#125—48no—
811#124—28no—
812#124—44no—
813#124—44no—
814#124—48no—
815#124—48no—
816#124—48no—
817#124—82no—
818#123—48no—
819#123—48no—
820#123—48no—
821#123—48no—
822#123—44no—
823#123—44no—
824#123—48no—
825#123—84no—
826C22⋊Q8—28no—
827C22⋊Q8—28no—
828C22⋊Q8—44no—
829C22⋊Q8—48no—
830C22⋊Q8—44no—
831C22⋊Q8—42no—
832C22⋊Q8—42no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835C22⋊Q8—48no—
836#121—28no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—44no—
842#121—44no—
843#121—48no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—48no—
850#121—84no—
851#121—84no—
852#120—44no—
853#120—48no—
854#120—48no—
855#120—84no—
856C4×Q8—28no—
857C4×Q8—44no—
858C4×Q8—44no—
859C4×Q8—44no—
860C4×D4—24no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—42no—
866C4×D4—42no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—48no—
870C4×D4—44no—
871C4×D4—48no—
872C4×D4—48no—
873C4×D4—84no—
874#117—42no—
875#117—44no—
876#117—82no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—48no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C22⋊C4—48no—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2414yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012#95C2412yes—
1013#95C2411yescharacteristic
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2411yescharacteristic
1021#95C2412yes—
1022#95C2412yes—
1023#95C2411yescharacteristic
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2411yescharacteristic
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065C24—44no—
1066C24—42no—
1067C24—42no—
1068C24—44no—
1069C24—42no—
1070C24C2511yescharacteristic
1071C24C2514yes—
1072C24C2512yes—
1073C24C2511yescharacteristic
1074C24C2512yes—
1075C24C2512yes—
1076#41—432no—
1077#41—416no—
1078#41—464no—
1079#41—432no—
1080#41—416no—
1081#41—88no—
1082#41—816no—
1083#41—816no—
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—22no—
1088C2×Q8—28no—
1089C2×Q8—28no—
1090C2×Q8—24no—
1091C2×Q8—22no—
1092C2×Q8—24no—
1093C2×Q8—42no—
1094C2×Q8—44no—
1095C2×Q8—44no—
1096C2×Q8—41no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—416no—
1101C2×Q8—432no—
1102C2×Q8—432no—
1103C2×Q8H(5,𝔽2)18yes—
1104C2×D4—24no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—41no—
1119C2×D4—44no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—41no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—41no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—88no—
1168C2×D4H(5,𝔽2)14yes—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—28no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—28no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—28no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—41no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—44no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—41no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C22⋊C4—24no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—42no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—42no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—24no—
1350C42—28no—
1351C42—22no—
1352C42—42no—
1353C42—41no—
1354C42—42no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C23—24no—
1361C23—22no—
1362C23—22no—
1363C23—24no—
1364C23—22no—
1365C23—22no—
1366C23—24no—
1367C23—21no—
1368C23—24no—
1369C23—22no—
1370C23—22no—
1371C23—21no—
1372C23—24no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—24no—
1379C23—21no—
1380C23—22no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—24no—
1394C23—22no—
1395C23—84no—
1396C23—88no—
1397C23—164no—
1398C23—162no—
1399C23—162no—
1400C23C2×H(5,𝔽2)14yes—
1401C23C2611yescharacteristic
1402Q8—216no—
1403Q8—48no—
1404Q8—416no—
1405Q8—44no—
1406Q8—44no—
1407Q8—44no—
1408Q8—84no—
1409D4—28no—
1410D4—416no—
1411D4—44no—
1412D4—48no—
1413D4—48no—
1414D4—44no—
1415D4—48no—
1416D4—82no—
1417D4—88no—
1418D4—88no—
1419D4—88no—
1420D4—88no—
1421D4—84no—
1422D4—84no—
1423D4—88no—
1424D4—84no—
1425D4—84no—
1426D4—88no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—164no—
1431D4—164no—
1432C2×C4—21no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—48no—
1492C2×C4—416no—
1493C2×C4—48no—
1494C2×C4—416no—
1495C2×C4—48no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—48no—
1499C2×C4—48no—
1500C2×C4—88no—
1501C2×C4—84no—
1502C2×C4—88no—
1503C2×C4—88no—
1504C2×C4—164no—
1505C2×C4C2×H(5,𝔽2)18yes—
1506C2×C4C2×H(5,𝔽2)14yes—
1507C2×C4C2×H(5,𝔽2)12yes—
1508C2×C4#58512yes—
1509C22—24no—
1510C22—24no—
1511C22—24no—
1512C22—44no—
1513C22—44no—
1514C22—44no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—44no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—44no—
1525C22—41no—
1526C22—41no—
1527C22—42no—
1528C22—44no—
1529C22—41no—
1530C22—41no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—44no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—44no—
1540C22—41no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22—44no—
1545C22—168no—
1546C22C22×H(5,𝔽2)12yes—
1547C22C22×H(5,𝔽2)11yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22H(7,𝔽2)11yescharacteristic
1550C222−1+612yes—
1551C4—22no—
1552C4—28no—
1553C4—42no—
1554C4—44no—
1555C4—42no—
1556C4—42no—
1557C4—44no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—44no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—44no—
1566C4—42no—
1567C4—42no—
1568C4—41no—
1569C4—42no—
1570C4—42no—
1571C4—41no—
1572C4—42no—
1573C4#353214yes—
1574C2—44no—
1575C2—82no—
1576C2—82no—
1577C2—81no—
1578C2—84no—
1579C2—81no—
1580C2C2×#353211yescharacteristic
1581C2#6291811yescharacteristic
1582C2#6292212yes—
1583C2#6305212yes—
1584C2#6306311yescharacteristic
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. #59818C2semidirect
2. #59483C2semidirect
3. #58588C2semidirect
4. #57294C2semidirect
5. #57196C2semidirect
6. #55450C2semidirect
7. #54892C2semidirect
8. #52967C2semidirect
9. #52956C2semidirect
10. #52413C2semidirect
11. #52329C2semidirect
12. #47659C2semidirect
13. #45351C2semidirect
14. #45246C2semidirect
15. #45243C2semidirect
16. #44930C2semidirect
17. #44892C2semidirect
18. #42967C2semidirect
19. #42950C2semidirect
20. #42831C2semidirect
21. #42800C2semidirect
22. #42602C2semidirect
23. #42023C2semidirect
24. #41349C2semidirect
25. #40098C2semidirect
26. #38951C2semidirect
27. #36696C2semidirect
28. #36085C2semidirect
29. #35757C2semidirect
30. C22×2−1+4C22semidirect
36. C2×#547C22semidirect
38. C2×#541C22semidirect
40. #2862C22semidirect
41. #2843C22semidirect
42. #2838C22semidirect
43. #2833C22semidirect
46. #2830C22semidirect
48. #2829C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
53. #2828C22semidirect
54. #2826C22semidirect
55. #2825C22semidirect
56. #2825C22semidirect
57. #2823C22semidirect
58. #2820C22semidirect
63. #2799C22semidirect
64. #2788C22semidirect
65. #2784C22semidirect
66. #2781C22semidirect
69. #2775C22semidirect
70. #2768C22semidirect
71. #2761C22semidirect
72. #2759C22semidirect
74. #2753C22semidirect
75. #2749C22semidirect
76. #2749C22semidirect
77. #2740C22semidirect
80. #2723C22semidirect
81. #2722C22semidirect
82. #2720C22semidirect
83. #2715C22semidirect
84. #2715C22semidirect
86. #2714C22semidirect
87. #2714C22semidirect
88. #2714C22semidirect
90. #2711C22semidirect
91. #2709C22semidirect
92. #2707C22semidirect
94. #2706C22semidirect
96. #2705C22semidirect
97. #2704C22semidirect
98. #2703C22semidirect
99. #2701C22semidirect
101. #2691C22semidirect
102. #2690C22semidirect
110. #2672C22semidirect
112. #2671C22semidirect
117. #2665C22semidirect
118. #2662C22semidirect
122. #2643C22semidirect
123. #2636C22semidirect
124. #2636C22semidirect
131. #2616C22semidirect
133. #2615C22semidirect
135. #2602C22semidirect
137. #2586C22semidirect
138. #2578C22semidirect
139. #2576C22semidirect
140. #2576C22semidirect
141. #2574C22semidirect
142. #2566C22semidirect
143. #2566C22semidirect
145. #2559C22semidirect
148. #2554C22semidirect
149. #2554C22semidirect
153. #2542C22semidirect
155. #2538C22semidirect
160. #2521C22semidirect
161. #2517C22semidirect
162. #2514C22semidirect
163. #2510C22semidirect
164. #2502C22semidirect
165. #2496C22semidirect
166. #2494C22semidirect
170. #2489C22semidirect
171. #2487C22semidirect
172. #2481C22semidirect
173. #2473C22semidirect
175. #2471C22semidirect
177. #2460C22semidirect
178. #2457C22semidirect
179. #2454C22semidirect
180. #2453C22semidirect
181. #2451C22semidirect
182. #2450C22semidirect
186. #2444C22semidirect
189. #2436C22semidirect
191. #2434C22semidirect
192. #2434C22semidirect
197. #2431C22semidirect
198. #2431C22semidirect
199. #2431C22semidirect
202. #2430C22semidirect
209. #2421C22semidirect
212. #2417C22semidirect
217. #2409C22semidirect
218. #2409C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2406C22semidirect
228. #2406C22semidirect
230. #2395C22semidirect
233. #2392C22semidirect
235. #2388C22semidirect
236. #2388C22semidirect
237. C2×#395C22semidirect
239. #2365C22semidirect
240. #2360C22semidirect
241. #2359C22semidirect
243. #2355C22semidirect
245. #2341C22semidirect
246. Q8×C22⋊C4C22semidirect
247. Q8×C22⋊C4C22semidirect
248. #2339C22semidirect
249. #2339C22semidirect
250. #2337C22semidirect
251. #2324C22semidirect
254. #2311C22semidirect
256. C4×#126C22semidirect
258. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#598182
#594832
#585882
#572942
#571962
#554502
#548922
#529672
#529562
#524132
#523292
#476592
#453512
#452462
#452432
#449302
#448922
#429672
#429502
#428312
#428002
#426022
#420232
#413492
#400982
#389512
#366962
#360852
#357572