Finite Group Databasebeta

← #8505069

Subgroups — #8505069

Order 512.

5187 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59843C211yesmaximal, characteristic, complemented
2#57486C214yesmaximal, complemented
3#57210C214yesmaximal, complemented
4#56332C214yesmaximal, complemented
5#55271C214yesmaximal, complemented
6#53940C214yesmaximal, complemented
7#53184C214yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#52185C211yesmaximal, characteristic, complemented
10#50856C212yesmaximal, complemented
11#48773C212yesmaximal, complemented
12#46334C212yesmaximal, complemented
13#45696C211yesmaximal, characteristic, complemented
14#45645C211yesmaximal, characteristic, complemented
15#45061C212yesmaximal, complemented
16#45031C212yesmaximal, complemented
17#42616C212yesmaximal, complemented
18#42545C212yesmaximal, complemented
19#42439C212yesmaximal, complemented
20#39338C211yesmaximal, characteristic, complemented
21#39336C211yesmaximal, characteristic, complemented
22#38286C212yesmaximal, complemented
23#37694C212yesmaximal, complemented
24#37662C212yesmaximal, complemented
25#37373C212yesmaximal, complemented
26#37283C212yesmaximal, complemented
27#37129C212yesmaximal, complemented
28#36289C211yesmaximal, characteristic, complemented
29#35215C212yesmaximal, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#551C2212yes—
32C2×D42C2211yescharacteristic
33C2×#540C2212yes—
34C2×#534C2212yes—
35C2×#534C2212yes—
36C22×#127C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic, complemented
38#2858C2211yescharacteristic, complemented
39#2854C2214yescomplemented
40#2854C2211yescharacteristic, complemented
41#2852C2214yescomplemented
42#2851C2212yescomplemented
43#2850C2212yescomplemented
44#2847C2212yescomplemented
45#2847C2211yescharacteristic, complemented
46#2837C2214yescomplemented
47#2835C2212yescomplemented
48#2829C2214yescomplemented
49#2826C2214yescomplemented
50#2825C2214yescomplemented
51#2824C2212yescomplemented
52#2814C2214yescomplemented
53#2813C2214yescomplemented
54#2813C2214yescomplemented
55#2803C2214yescomplemented
56#2800C2214yescomplemented
57#2795C2214yescomplemented
58#2778C2214yescomplemented
59#2778C2214yescomplemented
60#2778C2214yescomplemented
61#2766C2214yescomplemented
62#2764C2212yescomplemented
63#2757C2214yescomplemented
64#2756C2214yescomplemented
65#2756C2214yescomplemented
66#2753C2214yescomplemented
67#2750C2214yescomplemented
68#2749C2214yescomplemented
69#2749C2214yescomplemented
70#2749C2214yescomplemented
71#2748C2211yescharacteristic
72#2747C2214yescomplemented
73#2747C2212yescomplemented
74#2746C2214yescomplemented
75#2746C2214yescomplemented
76#2746C2212yescomplemented
77#2745C2214yescomplemented
78#2745C2212yescomplemented
79#2744C2212yescomplemented
80#2743C2212yescomplemented
81#2738C2214yescomplemented
82#2735C2212yescomplemented
83#2733C2214yescomplemented
84#2728C2212yescomplemented
85#2724C2212yes—
86#2718C2214yescomplemented
87#2718C2214yescomplemented
88#2717C2211yescharacteristic
89#2714C2214yescomplemented
90#2709C2214yescomplemented
91#2709C2214yescomplemented
92#2708C2214yescomplemented
93#2708C2214yescomplemented
94#2708C2214yescomplemented
95#2705C2214yescomplemented
96#2703C2214yescomplemented
97#2701C2214yescomplemented
98#2701C2214yescomplemented
99#2699C2214yescomplemented
100#2699C2214yescomplemented
101#2697C2211yescharacteristic
102#2697C2212yes—
103#2697C2214yescomplemented
104#2693C2214yescomplemented
105#2691C2214yescomplemented
106#2688C2214yescomplemented
107#2687C2214yescomplemented
108#2686C2214yescomplemented
109#2685C2214yescomplemented
110#2685C2214yescomplemented
111#2684C2211yescharacteristic
112#2684C2214yescomplemented
113#2682C2214yescomplemented
114#2681C2214yescomplemented
115#2680C2214yescomplemented
116#2679C2212yes—
117#2678C2214yescomplemented
118#2678C2214yescomplemented
119#2678C2214yescomplemented
120#2676C2214yescomplemented
121#2673C2214yescomplemented
122#2673C2214yescomplemented
123#2673C2214yescomplemented
124#2672C2214yescomplemented
125#2672C2214yescomplemented
126#2671C2214yescomplemented
127#2671C2214yescomplemented
128#2670C2212yescomplemented
129#2669C2214yes—
130#2668C2214yes—
131#2649C2214yescomplemented
132#2649C2214yescomplemented
133#2648C2214yescomplemented
134#2641C2212yescomplemented
135#2630C2214yescomplemented
136#2630C2214yescomplemented
137#2629C2212yescomplemented
138#2624C2212yescomplemented
139#2622C2214yescomplemented
140#2620C2214yescomplemented
141#2619C2212yescomplemented
142#2619C2212yescomplemented
143#2618C2214yescomplemented
144#2613C2212yescomplemented
145#2613C2212yescomplemented
146#2609C2212yescomplemented
147#2598C2214yescomplemented
148#2578C2214yescomplemented
149#2566C2212yescomplemented
150#2566C2212yescomplemented
151#2563C2211yescharacteristic
152#2562C2212yescomplemented
153#2559C2214yescomplemented
154#2555C2214yescomplemented
155#2552C2212yescomplemented
156#2550C2212yescomplemented
157#2548C2211yescharacteristic, complemented
158#2541C2212yescomplemented
159#2538C2212yescomplemented
160#2537C2212yes—
161#2512C2212yescomplemented
162#2509C2212yescomplemented
163#2504C2212yescomplemented
164#2501C2211yescharacteristic, complemented
165#2496C2212yescomplemented
166#2495C2212yescomplemented
167#2495C2212yescomplemented
168#2494C2212yescomplemented
169#2491C2212yescomplemented
170#2490C2212yescomplemented
171#2490C2212yescomplemented
172#2490C2212yescomplemented
173#2490C2212yescomplemented
174#2490C2212yescomplemented
175#2490C2212yescomplemented
176#2486C2211yescharacteristic
177#2482C2214yescomplemented
178#2480C2214yescomplemented
179#2480C2214yescomplemented
180#2476C2214yescomplemented
181#2472C2214yescomplemented
182#2472C2214yescomplemented
183#2471C2214yescomplemented
184#2471C2214yescomplemented
185#2470C2214yescomplemented
186#2459C2214yescomplemented
187#2457C2214yescomplemented
188#2454C2212yescomplemented
189#2454C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2442C2212yescomplemented
195#2435C2212yes—
196#2433C2212yes—
197#2433C2211yescharacteristic, complemented
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2424C2214yescomplemented
204#2422C2212yescomplemented
205#2422C2214yescomplemented
206#2422C2212yescomplemented
207#2422C2212yescomplemented
208#2420C2212yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2414C2214yescomplemented
212#2413C2214yescomplemented
213#2412C2214yescomplemented
214#2412C2214yescomplemented
215#2412C2214yescomplemented
216#2412C2212yescomplemented
217#2411C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2410C2212yescomplemented
222#2408C2212yes—
223#2408C2211yescharacteristic
224#2408C2214yescomplemented
225#2408C2212yescomplemented
226#2405C2212yes—
227#2405C2214yescomplemented
228#2405C2214yescomplemented
229#2403C2212yes—
230#2401C2212yescomplemented
231#2396C2212yescomplemented
232#2395C2212yescomplemented
233#2376C2212yes—
234#2375C2212yes—
235#2366C2212yescomplemented
236#2361C2212yescomplemented
237#2357C2212yescomplemented
238#2354C2212yescomplemented
239D4×C22⋊C4C2211yescharacteristic, complemented
240D4×C22⋊C4C2212yescomplemented
241D4×C22⋊C4C2212yescomplemented
242D4×C22⋊C4C2212yescomplemented
243D4×C22⋊C4C2211yescharacteristic, complemented
244#2330C2212yescomplemented
245#2328C2212yescomplemented
246#2324C2212yescomplemented
247#2324C2212yescomplemented
248#2324C2212yescomplemented
249#2319C2212yescomplemented
250C4×#124C2211yescharacteristic
251C4×#123C2211yescharacteristic
252C4×#120C2211yescharacteristic
253#2298C2212yescomplemented
254#2293C2212yescomplemented
255C2×#390C2212yes—
256#2290C2212yescomplemented
257#2280C2212yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C23×D4C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267#554—44no—
268#551—48no—
269D42—44no—
270#540—48no—
271#534—48no—
272#534—48no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×#127—44no—
275C2×#127C2312yes—
276C2×#127C2311yescharacteristic
277C2×#127C2312yes—
278C2×#127C2312yes—
279C2×#127C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#125C2312yes—
283C2×#125C2312yes—
284C2×#125C2312yes—
285C2×#124C2311yescharacteristic
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#123C2312yes—
290C2×#123C2311yescharacteristic
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×#121—44no—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2311yescharacteristic
313C2×#121C2312yes—
314C2×#121C2311yescharacteristic
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#120C2312yes—
328C2×#120C2311yescharacteristic
329C2×#120C2312yes—
330C2×#120C2312yes—
331C2×#120C2312yes—
332C2×#120C2312yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2312yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×#117C2312yes—
352C2×#117C2314yes—
353C2×#117C2312yes—
354C2×#117C2314yes—
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2312yes—
357C22×C22⋊C4C2314yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2314yes—
366#401C2312yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2312yes—
384#399C2312yes—
385#398C2312yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2312yes—
393#398C2314yes—
394#398C2312yes—
395#397C2314yes—
396#397C2312yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2312yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2312yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2312yes—
427#396C2314yes—
428#396C2312yes—
429#396C2314yes—
430#396C2314yes—
431#396C2312yes—
432#395C2314yes—
433#395C2312yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2312yes—
478#393C2312yes—
479#393C2314yes—
480#393C2312yes—
481#392C2312yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#387C2314yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2311yescharacteristic
624#386C2311yescharacteristic
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2311yescharacteristic
635#385C2314yes—
636#385C2311yescharacteristic
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#384C2312yes—
652#384C2312yes—
653#384C2314yes—
654#383C2314yes—
655#383C2314yes—
656#382C2312yes—
657#382C2312yes—
658#382C2312yes—
659#382C2311yescharacteristic
660#381C2314yes—
661#381C2314yes—
662#381C2311yescharacteristic
663#381C2312yes—
664#381C2314yes—
665#381C2312yes—
666#381C2312yes—
667#380C2311yescharacteristic
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2311yescharacteristic
676#380C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#379C2312yes—
687#379C2312yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2311yescharacteristic
692#379C2312yes—
693#379C2314yes—
694#379C2314yes—
695#379C2312yes—
696#379C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2312yes—
719C43C2311yescharacteristic
720C25C2412yes—
721C25C2412yes—
722C25C2412yes—
723C25C2411yescharacteristic
724C22×Q8C2411yescharacteristic
725C22×Q8C2412yes—
726C22×D4—24no—
727C22×D4—24no—
728C22×D4—28no—
729C22×D4—42no—
730C22×D4—44no—
731C22×D4—44no—
732C22×D4—44no—
733C22×D4—44no—
734C22×D4—44no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—82no—
740C22×D4—84no—
741C22×D4—82no—
742C22×D4—82no—
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C22×D4C2411yescharacteristic
746C22×D4C2411yescharacteristic
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2411yescharacteristic
768C23×C4—42no—
769C23×C4—44no—
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2412yes—
776C23×C4C2411yescharacteristic
777C23×C4C2414yes—
778C23×C4C2411yescharacteristic
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C4⋊Q8—42no—
786#127—28no—
787#127—44no—
788#127—44no—
789#127—42no—
790#127—48no—
791#126—48no—
792#126—84no—
793#125—44no—
794#125—44no—
795#125—44no—
796#124—24no—
797#124—82no—
798#124—84no—
799#124—84no—
800#123—24no—
801#123—28no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—44no—
807#123—44no—
808#123—48no—
809#123—84no—
810#123—84no—
811#123—84no—
812#123—82no—
813#123—84no—
814C22⋊Q8—48no—
815C22⋊Q8—44no—
816C22⋊Q8—48no—
817#121—28no—
818#121—48no—
819#121—48no—
820#121—48no—
821#121—48no—
822#121—48no—
823#121—48no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—44no—
829#121—42no—
830#121—42no—
831#121—48no—
832#121—44no—
833#121—84no—
834#121—84no—
835#121—84no—
836#121—84no—
837#120—24no—
838#120—28no—
839#120—44no—
840#120—48no—
841#120—44no—
842#120—48no—
843#120—44no—
844#120—44no—
845#120—84no—
846#120—84no—
847#120—84no—
848#120—82no—
849C4×Q8—42no—
850C4×D4—28no—
851C4×D4—24no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—42no—
859C4×D4—48no—
860C4×D4—84no—
861#117—44no—
862#117—44no—
863#117—48no—
864#117—84no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4—44no—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C22⋊C4—44no—
910C2×C22⋊C4—44no—
911C2×C22⋊C4—44no—
912C2×C22⋊C4—48no—
913C2×C22⋊C4—84no—
914C2×C22⋊C4—84no—
915C2×C22⋊C4C2411yescharacteristic
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2411yescharacteristic
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C42—42no—
991C2×C42—82no—
992C2×C42C2411yescharacteristic
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058C24—24no—
1059C24—24no—
1060C24—24no—
1061C24—22no—
1062C24—24no—
1063C24—24no—
1064C24—41no—
1065C24—41no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—42no—
1078C24C2514yes—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2512yes—
1082C24C2511yescharacteristic
1083C24C2511yescharacteristic
1084C24C2512yes—
1085C2×Q8—22no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—42no—
1089C2×Q8—44no—
1090C2×D4—28no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—24no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—42no—
1111C2×D4—44no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—88no—
1157C2×D4—88no—
1158C2×D4—88no—
1159C2×D4—816no—
1160C2×D4—816no—
1161C2×D4—816no—
1162C2×D4—816no—
1163C2×D4H(5,𝔽2)14yes—
1164C2×D4H(5,𝔽2)14yes—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—41no—
1182C22×C4—44no—
1183C22×C4—41no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
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×C4—88no—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2514yes—
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—41no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—41no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—28no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—41no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—41no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C42—24no—
1347C42—22no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—42no—
1354C42—41no—
1355C42—42no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—42no—
1361C23—22no—
1362C23—21no—
1363C23—21no—
1364C23—22no—
1365C23—24no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—24no—
1370C23—21no—
1371C23—21no—
1372C23—22no—
1373C23—24no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—24no—
1380C23—22no—
1381C23—22no—
1382C23—24no—
1383C23—24no—
1384C23—24no—
1385C23—24no—
1386C23—22no—
1387C23—24no—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—24no—
1392C23—24no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—24no—
1397C23—48no—
1398C23—48no—
1399C23—44no—
1400C23—84no—
1401C23—84no—
1402C23—84no—
1403C23—84no—
1404C23—84no—
1405C23—84no—
1406C23—88no—
1407C23—88no—
1408C23—88no—
1409C23—82no—
1410C23—82no—
1411C23—84no—
1412C23—84no—
1413C23—84no—
1414C23—164no—
1415C23—164no—
1416C23—164no—
1417C23C2×H(5,𝔽2)12yes—
1418C23C2×H(5,𝔽2)12yes—
1419C23C2×H(5,𝔽2)14yes—
1420C23C2611yescharacteristic
1421Q8—82no—
1422Q8—162no—
1423D4—28no—
1424D4—44no—
1425D4—48no—
1426D4—44no—
1427D4—44no—
1428D4—84no—
1429D4—84no—
1430D4—88no—
1431D4—84no—
1432D4—84no—
1433D4—88no—
1434D4—84no—
1435D4—84no—
1436D4—88no—
1437D4—88no—
1438D4—88no—
1439D4—84no—
1440D4—88no—
1441D4—88no—
1442D4—88no—
1443D4—164no—
1444D4—162no—
1445D4—164no—
1446D4—164no—
1447D4—164no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—48no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—48no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—88no—
1514C2×C4—84no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—82no—
1518C2×C4—84no—
1519C2×C4—164no—
1520C2×C4—164no—
1521C2×C4—164no—
1522C2×C4C2×H(5,𝔽2)12yes—
1523C2×C4C2×H(5,𝔽2)12yes—
1524C2×C4#58514yes—
1525C22—24no—
1526C22—24no—
1527C22—22no—
1528C22—24no—
1529C22—22no—
1530C22—24no—
1531C22—24no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—44no—
1537C22—42no—
1538C22—42no—
1539C22—44no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—44no—
1544C22—44no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—44no—
1549C22—44no—
1550C22—42no—
1551C22—42no—
1552C22—44no—
1553C22—44no—
1554C22—44no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—44no—
1559C22—44no—
1560C22—44no—
1561C22—42no—
1562C22—42no—
1563C22—44no—
1564C22—88no—
1565C22—168no—
1566C22—168no—
1567C22—168no—
1568C22C22×H(5,𝔽2)11yescharacteristic
1569C22C22×H(5,𝔽2)11yescharacteristic
1570C22C2×#58512yes—
1571C22H(7,𝔽2)12yes—
1572C22H(7,𝔽2)11yescharacteristic
1573C4—22no—
1574C4—42no—
1575C4—41no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4—41no—
1581C4—42no—
1582C4—42no—
1583C4—44no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—44no—
1588C4—42no—
1589C4—42no—
1590C4—44no—
1591C4—42no—
1592C4—42no—
1593C4—44no—
1594C4#354514yes—
1595C2—42no—
1596C2—44no—
1597C2—42no—
1598C2—82no—
1599C2—84no—
1600C2—82no—
1601C2—82no—
1602C2C2×#354511yescharacteristic
1603C2#6288312yes—
1604C2#6289211yescharacteristic
1605C2#6292012yes—
1606C2#6304111yescharacteristic
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. #59843C2semidirect
2. #57486C2semidirect
3. #57210C2semidirect
4. #56332C2semidirect
5. #55271C2semidirect
6. #53940C2semidirect
7. #53184C2semidirect
8. #52973C2semidirect
9. #52185C2semidirect
10. #50856C2semidirect
11. #48773C2semidirect
12. #46334C2semidirect
13. #45696C2semidirect
14. #45645C2semidirect
15. #45061C2semidirect
16. #45031C2semidirect
17. #42616C2semidirect
18. #42545C2semidirect
19. #42439C2semidirect
20. #39338C2semidirect
21. #39336C2semidirect
22. #38286C2semidirect
23. #37694C2semidirect
24. #37662C2semidirect
25. #37373C2semidirect
26. #37283C2semidirect
27. #37129C2semidirect
28. #36289C2semidirect
29. #35215C2semidirect
30. C2×#554C22semidirect
36. C22×#127C22semidirect
37. C22×#121C22semidirect
38. #2858C22semidirect
39. #2854C22semidirect
40. #2854C22semidirect
41. #2852C22semidirect
42. #2851C22semidirect
43. #2850C22semidirect
44. #2847C22semidirect
45. #2847C22semidirect
46. #2837C22semidirect
47. #2835C22semidirect
48. #2829C22semidirect
49. #2826C22semidirect
50. #2825C22semidirect
51. #2824C22semidirect
52. #2814C22semidirect
53. #2813C22semidirect
54. #2813C22semidirect
55. #2803C22semidirect
56. #2800C22semidirect
57. #2795C22semidirect
58. #2778C22semidirect
59. #2778C22semidirect
60. #2778C22semidirect
61. #2766C22semidirect
62. #2764C22semidirect
63. #2757C22semidirect
64. #2756C22semidirect
65. #2756C22semidirect
66. #2753C22semidirect
67. #2750C22semidirect
68. #2749C22semidirect
69. #2749C22semidirect
70. #2749C22semidirect
72. #2747C22semidirect
73. #2747C22semidirect
74. #2746C22semidirect
75. #2746C22semidirect
76. #2746C22semidirect
77. #2745C22semidirect
78. #2745C22semidirect
79. #2744C22semidirect
80. #2743C22semidirect
81. #2738C22semidirect
82. #2735C22semidirect
83. #2733C22semidirect
84. #2728C22semidirect
86. #2718C22semidirect
87. #2718C22semidirect
89. #2714C22semidirect
90. #2709C22semidirect
91. #2709C22semidirect
92. #2708C22semidirect
93. #2708C22semidirect
94. #2708C22semidirect
95. #2705C22semidirect
96. #2703C22semidirect
97. #2701C22semidirect
98. #2701C22semidirect
99. #2699C22semidirect
100. #2699C22semidirect
103. #2697C22semidirect
104. #2693C22semidirect
105. #2691C22semidirect
106. #2688C22semidirect
107. #2687C22semidirect
108. #2686C22semidirect
109. #2685C22semidirect
110. #2685C22semidirect
112. #2684C22semidirect
113. #2682C22semidirect
114. #2681C22semidirect
115. #2680C22semidirect
117. #2678C22semidirect
118. #2678C22semidirect
119. #2678C22semidirect
120. #2676C22semidirect
121. #2673C22semidirect
122. #2673C22semidirect
123. #2673C22semidirect
124. #2672C22semidirect
125. #2672C22semidirect
126. #2671C22semidirect
127. #2671C22semidirect
128. #2670C22semidirect
131. #2649C22semidirect
132. #2649C22semidirect
133. #2648C22semidirect
134. #2641C22semidirect
135. #2630C22semidirect
136. #2630C22semidirect
137. #2629C22semidirect
138. #2624C22semidirect
139. #2622C22semidirect
140. #2620C22semidirect
141. #2619C22semidirect
142. #2619C22semidirect
143. #2618C22semidirect
144. #2613C22semidirect
145. #2613C22semidirect
146. #2609C22semidirect
147. #2598C22semidirect
148. #2578C22semidirect
149. #2566C22semidirect
150. #2566C22semidirect
152. #2562C22semidirect
153. #2559C22semidirect
154. #2555C22semidirect
155. #2552C22semidirect
156. #2550C22semidirect
157. #2548C22semidirect
158. #2541C22semidirect
159. #2538C22semidirect
161. #2512C22semidirect
162. #2509C22semidirect
163. #2504C22semidirect
164. #2501C22semidirect
165. #2496C22semidirect
166. #2495C22semidirect
167. #2495C22semidirect
168. #2494C22semidirect
169. #2491C22semidirect
170. #2490C22semidirect
171. #2490C22semidirect
172. #2490C22semidirect
173. #2490C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
177. #2482C22semidirect
178. #2480C22semidirect
179. #2480C22semidirect
180. #2476C22semidirect
181. #2472C22semidirect
182. #2472C22semidirect
183. #2471C22semidirect
184. #2471C22semidirect
185. #2470C22semidirect
186. #2459C22semidirect
187. #2457C22semidirect
188. #2454C22semidirect
189. #2454C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2442C22semidirect
197. #2433C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2424C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2420C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2414C22semidirect
212. #2413C22semidirect
213. #2412C22semidirect
214. #2412C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2411C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
221. #2410C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
227. #2405C22semidirect
228. #2405C22semidirect
230. #2401C22semidirect
231. #2396C22semidirect
232. #2395C22semidirect
235. #2366C22semidirect
236. #2361C22semidirect
237. #2357C22semidirect
238. #2354C22semidirect
239. D4×C22⋊C4C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. D4×C22⋊C4C22semidirect
243. D4×C22⋊C4C22semidirect
244. #2330C22semidirect
245. #2328C22semidirect
246. #2324C22semidirect
247. #2324C22semidirect
248. #2324C22semidirect
249. #2319C22semidirect
253. #2298C22semidirect
254. #2293C22semidirect
256. #2290C22semidirect
257. #2280C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598432
#574862
#572102
#563322
#552712
#539402
#531842
#529732
#521852
#508562
#487732
#463342
#456962
#456452
#450612
#450312
#426162
#425452
#424392
#393382
#393362
#382862
#376942
#376622
#373732
#372832
#371292
#362892
#352152