Finite Group Databasebeta

← #8700344

Subgroups — #8700344

Order 512.

4819 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59827C211yesmaximal, characteristic, complemented
2#59714C212yesmaximal, complemented
3#59628C212yesmaximal, complemented
4#59628C211yesmaximal, characteristic, complemented
5#59139C212yesmaximal, complemented
6#58306C214yesmaximal, complemented
7#56794C214yesmaximal, complemented
8#56507C214yesmaximal, complemented
9#52293C211yesmaximal, characteristic, complemented
10#52064C212yesmaximal, complemented
11#50684C212yesmaximal, complemented
12#48710C214yesmaximal, complemented
13#48199C214yesmaximal, complemented
14#45601C212yesmaximal, complemented
15#45478C211yesmaximal, characteristic, complemented
16#45386C212yesmaximal, complemented
17#45208C212yesmaximal, complemented
18#45176C212yesmaximal, complemented
19#42758C212yesmaximal, complemented
20#42503C212yesmaximal, complemented
21#42473C212yesmaximal, complemented
22#40068C212yesmaximal, complemented
23#39789C212yesmaximal, complemented
24#39169C211yesmaximal, characteristic, complemented
25#39122C211yesmaximal, characteristic, complemented
26#37080C212yesmaximal, complemented
27#36848C214yesmaximal, complemented
28#36516C211yesmaximal, characteristic, complemented
29#36438C212yesmaximal, complemented
30C2×#560C2212yes—
31C2×#559C2212yes—
32C2×#559C2212yes—
33C2×#554C2211yescharacteristic
34C2×#553C2212yes—
35C2×#550C2211yescharacteristic, complemented
36C22×#125C2211yescharacteristic, complemented
37C22×#117C2211yescharacteristic
38#2858C2211yescharacteristic, complemented
39#2855C2212yes—
40#2855C2211yescharacteristic, complemented
41#2852C2214yes—
42#2848C2211yescharacteristic
43#2847C2212yes—
44#2832C2214yes—
45#2830C2214yescomplemented
46#2824C2214yes—
47#2824C2214yes—
48#2812C2212yes—
49#2804C2214yes—
50#2803C2214yes—
51#2800C2214yescomplemented
52#2797C2212yes—
53#2796C2214yescomplemented
54#2790C2212yes—
55#2788C2214yescomplemented
56#2782C2214yes—
57#2782C2214yescomplemented
58#2779C2214yes—
59#2779C2214yescomplemented
60#2767C2214yescomplemented
61#2758C2214yescomplemented
62#2757C2212yes—
63#2754C2214yescomplemented
64#2753C2214yes—
65#2751C2214yes—
66#2751C2214yes—
67#2750C2214yescomplemented
68#2750C2214yescomplemented
69#2750C2214yescomplemented
70#2749C2212yes—
71#2748C2211yescharacteristic
72#2743C2214yes—
73#2739C2214yescomplemented
74#2737C2214yescomplemented
75#2731C2214yes—
76#2729C2214yescomplemented
77#2725C2214yescomplemented
78#2724C2212yes—
79#2724C2212yescomplemented
80#2719C2214yescomplemented
81#2717C2214yes—
82#2716C2214yes—
83#2712C2214yes—
84#2712C2214yes—
85#2712C2212yescomplemented
86#2711C2214yes—
87#2709C2211yescharacteristic
88#2709C2212yes—
89#2709C2212yes—
90#2705C2214yes—
91#2703C2214yes—
92#2701C2214yes—
93#2700C2214yescomplemented
94#2699C2214yes—
95#2697C2211yescharacteristic
96#2693C2212yes—
97#2691C2212yes—
98#2691C2214yes—
99#2691C2214yescomplemented
100#2690C2214yes—
101#2688C2214yes—
102#2686C2214yes—
103#2686C2214yes—
104#2685C2212yes—
105#2684C2214yes—
106#2676C2214yes—
107#2676C2214yes—
108#2676C2214yescomplemented
109#2673C2214yes—
110#2672C2214yes—
111#2670C2214yes—
112#2669C2211yescharacteristic
113#2665C2214yescomplemented
114#2662C2214yes—
115#2650C2214yescomplemented
116#2649C2214yes—
117#2649C2214yescomplemented
118#2648C2214yes—
119#2641C2212yescomplemented
120#2637C2214yes—
121#2635C2214yes—
122#2628C2212yescomplemented
123#2627C2212yescomplemented
124#2604C2214yes—
125#2601C2214yes—
126#2600C2214yes—
127#2600C2212yescomplemented
128#2598C2214yes—
129#2596C2214yes—
130#2588C2214yescomplemented
131#2582C2212yescomplemented
132#2574C2214yescomplemented
133#2566C2212yescomplemented
134#2566C2212yescomplemented
135#2563C2212yes—
136#2563C2211yescharacteristic, complemented
137#2562C2212yes—
138#2561C2212yes—
139#2558C2214yes—
140#2555C2214yes—
141#2551C2212yescomplemented
142#2550C2212yescomplemented
143#2547C2212yes—
144#2547C2212yescomplemented
145#2541C2211yescharacteristic
146#2541C2212yes—
147#2537C2212yes—
148#2534C2212yes—
149#2533C2214yescomplemented
150#2518C2214yescomplemented
151#2513C2212yescomplemented
152#2511C2212yescomplemented
153#2511C2212yescomplemented
154#2505C2214yescomplemented
155#2503C2211yescharacteristic
156#2503C2211yescharacteristic, complemented
157#2503C2212yescomplemented
158#2500C2212yes—
159#2497C2212yescomplemented
160#2496C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2491C2212yes—
164#2491C2214yes—
165#2491C2212yes—
166#2491C2212yescomplemented
167#2491C2214yescomplemented
168#2490C2212yes—
169#2490C2212yescomplemented
170#2489C2212yes—
171#2486C2212yes—
172#2486C2211yescharacteristic
173#2486C2211yescharacteristic
174#2486C2212yescomplemented
175#2485C2212yes—
176#2481C2214yescomplemented
177#2477C2214yes—
178#2476C2214yes—
179#2475C2214yes—
180#2470C2214yes—
181#2469C2214yes—
182#2468C2214yescomplemented
183#2460C2214yescomplemented
184#2459C2214yes—
185#2459C2214yescomplemented
186#2459C2214yescomplemented
187#2458C2214yescomplemented
188#2458C2214yescomplemented
189#2458C2214yescomplemented
190#2457C2214yes—
191#2453C2212yescomplemented
192#2452C2212yescomplemented
193#2447C2214yes—
194#2447C2214yescomplemented
195#2445C2212yescomplemented
196#2445C2214yescomplemented
197#2444C2214yes—
198#2444C2214yescomplemented
199#2443C2214yes—
200#2442C2212yes—
201#2442C2212yescomplemented
202#2441C2212yes—
203#2439C2212yes—
204#2428C2212yes—
205#2426C2214yes—
206#2425C2214yes—
207#2424C2214yes—
208#2422C2212yes—
209#2419C2214yes—
210#2418C2214yes—
211#2416C2212yes—
212#2416C2212yes—
213#2416C2214yes—
214#2416C2212yescomplemented
215#2415C2212yes—
216#2414C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yescomplemented
221#2395C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2379C2214yes—
225#2370C2212yescomplemented
226#2365C2214yescomplemented
227#2365C2212yescomplemented
228#2363C2212yes—
229#2362C2212yes—
230#2361C2212yes—
231#2361C2214yescomplemented
232#2357C2212yescomplemented
233#2352C2212yes—
234#2352C2212yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yescomplemented
237#2347C2212yes—
238#2345C2211yescharacteristic
239#2345C2211yescharacteristic, complemented
240#2339C2212yescomplemented
241#2337C2214yescomplemented
242#2329C2214yescomplemented
243#2328C2212yes—
244#2324C2212yescomplemented
245#2322C2212yes—
246#2314C2212yescomplemented
247#2311C2212yescomplemented
248C4×C4⋊Q8C2212yescomplemented
249C4×#127C2211yescharacteristic
250C4×#126C2212yes—
251C4×#123C2211yescharacteristic
252C4×#123C2212yes—
253C4×#121C2212yes—
254C4×#121C2214yes—
255C4×#121C2212yescomplemented
256C4×#120C2212yes—
257C4×#120C2211yescharacteristic
258#2295C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C24×C4C2311yescharacteristic
261#560—48no—
262#559—48no—
263#559—48no—
264#554—44no—
265#553—48no—
266#550—44no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2314yes—
271C2×#127C2311yescharacteristic
272C2×#127C2312yes—
273C2×#127C2311yescharacteristic
274C2×#127C2312yes—
275C2×#126C2312yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125—44no—
279C2×#125C2312yes—
280C2×#125C2312yes—
281C2×#125C2312yes—
282C2×#125C2314yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#123C2312yes—
290C2×#123C2311yescharacteristic
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#120C2311yescharacteristic
316C2×#120C2314yes—
317C2×#120C2312yes—
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2314yes—
320C2×C4×Q8C2314yes—
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2312yes—
337C2×#117—44no—
338C2×#117C2312yes—
339C2×#117C2312yes—
340C2×#117C2314yes—
341C2×#117C2312yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C22⋊C4C2312yes—
350C22×C42C2312yes—
351C22×C42C2311yescharacteristic
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2312yes—
372#398C2312yes—
373#398C2314yes—
374#398C2314yes—
375#398C2312yes—
376#398C2312yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2312yes—
381#398C2312yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2312yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2312yes—
393#397C2314yes—
394#397C2312yes—
395#397C2312yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2312yes—
400#397C2312yes—
401#397C2314yes—
402#397C2312yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2312yes—
411#396C2314yes—
412#396C2312yes—
413#396C2312yes—
414#396C2312yes—
415#396C2314yes—
416#395C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#394C2314yes—
421#394C2312yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2314yes—
432#394C2312yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2312yes—
441#394C2312yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2312yes—
468#392C2312yes—
469#392C2314yes—
470#392C2312yes—
471#392C2314yes—
472#392C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#388C2312yes—
525#388C2312yes—
526#388C2312yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
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#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#386C2314yes—
590#386C2314yes—
591#386C2312yes—
592#386C2314yes—
593#386C2314yes—
594#386C2311yescharacteristic
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2312yes—
617#386C2311yescharacteristic
618#386C2312yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2312yes—
628#385C2314yes—
629#385C2312yes—
630#385C2314yes—
631#385C2312yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2311yescharacteristic
636#385C2314yes—
637#385C2312yes—
638#385C2314yes—
639#385C2311yescharacteristic
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#384C2311yescharacteristic
645#384C2312yes—
646#384C2312yes—
647#383C2312yes—
648#383C2314yes—
649#382C2314yes—
650#382C2312yes—
651#382C2312yes—
652#382C2312yes—
653#382C2314yes—
654#381C2312yes—
655#381C2312yes—
656#381C2312yes—
657#381C2314yes—
658#381C2312yes—
659#381C2312yes—
660#381C2311yescharacteristic
661#381C2314yes—
662#381C2312yes—
663#381C2312yes—
664#381C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2311yescharacteristic
678#380C2312yes—
679#380C2311yescharacteristic
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2314yes—
684#380C2312yes—
685#379C2311yescharacteristic
686#379C2312yes—
687#379C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717#376C2312yes—
718C2×#95C2314yes—
719C43C2311yescharacteristic
720C25C2411yescharacteristic
721C2×#41—44no—
722C2×#41—44no—
723C2×#41—44no—
724C22×Q8C2411yescharacteristic
725C22×Q8C2414yes—
726C22×Q8C2414yes—
727C22×Q8C2412yes—
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2414yes—
733C22×D4C2414yes—
734C22×D4C2414yes—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2411yescharacteristic
744C23×C4—42no—
745C23×C4—44no—
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2414yes—
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2411yescharacteristic
762C4⋊Q8—44no—
763C4⋊Q8—44no—
764C4⋊Q8—42no—
765C4⋊Q8—48no—
766#127—24no—
767#127—28no—
768#127—44no—
769#127—42no—
770#126—44no—
771#126—48no—
772#126—48no—
773#125—28no—
774#125—44no—
775#125—44no—
776#125—48no—
777#124—48no—
778#124—48no—
779#124—48no—
780#124—48no—
781#124—48no—
782#124—48no—
783#123—24no—
784#123—28no—
785#123—28no—
786#123—48no—
787#123—48no—
788#123—48no—
789#123—48no—
790C22⋊Q8—48no—
791C22⋊Q8—44no—
792C22⋊Q8—44no—
793C22⋊Q8—44no—
794C22⋊Q8—42no—
795C22⋊Q8—42no—
796#121—28no—
797#121—44no—
798#121—48no—
799#121—48no—
800#121—48no—
801#121—48no—
802#121—48no—
803#121—48no—
804#121—44no—
805#121—44no—
806#121—44no—
807#121—44no—
808#121—48no—
809#120—24no—
810#120—44no—
811#120—48no—
812C4×Q8—24no—
813C4×Q8—48no—
814C4×Q8—48no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—48no—
818C4×D4—44no—
819C4×D4—44no—
820C4×D4—44no—
821C4×D4—44no—
822C4×D4—44no—
823C4×D4—42no—
824C4×D4—44no—
825C4×D4—44no—
826C4×D4—42no—
827C4×D4—48no—
828C4×D4—48no—
829C4×D4—48no—
830C4×D4—48no—
831#117—28no—
832#117—44no—
833#117—48no—
834#117—44no—
835C2×C4⋊C4—24no—
836C2×C4⋊C4—24no—
837C2×C4⋊C4—42no—
838C2×C4⋊C4—42no—
839C2×C4⋊C4—44no—
840C2×C4⋊C4—44no—
841C2×C4⋊C4—44no—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C22⋊C4—44no—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2411yescharacteristic
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2411yescharacteristic
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C42—44no—
960C2×C42—42no—
961C2×C42C2414yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2411yescharacteristic
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2411yescharacteristic
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2412yes—
978C2×C42C2414yes—
979C2×C42C2411yescharacteristic
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2414yes—
991#95C2412yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2412yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037C24—22no—
1038C24—41no—
1039C24—42no—
1040C24—42no—
1041C24—41no—
1042C24C2512yes—
1043C24C2514yes—
1044C24C2512yes—
1045C24C2511yescharacteristic
1046C24C2511yescharacteristic
1047#41—816no—
1048C2×Q8—22no—
1049C2×Q8—24no—
1050C2×Q8—28no—
1051C2×Q8—44no—
1052C2×Q8—44no—
1053C2×Q8—44no—
1054C2×Q8—44no—
1055C2×Q8—44no—
1056C2×Q8—42no—
1057C2×Q8—44no—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—28no—
1061C2×D4—28no—
1062C2×D4—24no—
1063C2×D4—24no—
1064C2×D4—28no—
1065C2×D4—24no—
1066C2×D4—22no—
1067C2×D4—24no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—41no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—41no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—41no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—42no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—41no—
1093C2×D4—42no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—42no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4H(5,𝔽2)14yes—
1105C22×C4—24no—
1106C22×C4—22no—
1107C22×C4—24no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—41no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—42no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—42no—
1133C22×C4—41no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—416no—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2511yescharacteristic
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2514yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2511yescharacteristic
1159C22×C4C2514yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2514yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2514yes—
1167C22×C4C2511yescharacteristic
1168C22×C4C2512yes—
1169C22×C4C2511yescharacteristic
1170C22×C4C2512yes—
1171C22×C4C2511yescharacteristic
1172C4⋊C4—24no—
1173C4⋊C4—22no—
1174C4⋊C4—24no—
1175C4⋊C4—22no—
1176C4⋊C4—24no—
1177C4⋊C4—24no—
1178C4⋊C4—28no—
1179C4⋊C4—28no—
1180C4⋊C4—24no—
1181C4⋊C4—28no—
1182C4⋊C4—24no—
1183C4⋊C4—28no—
1184C4⋊C4—24no—
1185C4⋊C4—28no—
1186C4⋊C4—24no—
1187C4⋊C4—24no—
1188C4⋊C4—24no—
1189C4⋊C4—24no—
1190C4⋊C4—42no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—41no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—41no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4H(5,𝔽2)14yes—
1223C22⋊C4—24no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—22no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—22no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—24no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—44no—
1238C22⋊C4—42no—
1239C22⋊C4—41no—
1240C22⋊C4—42no—
1241C22⋊C4—44no—
1242C22⋊C4—41no—
1243C22⋊C4—44no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—44no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—42no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—42no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C42—28no—
1289C42—24no—
1290C42—24no—
1291C42—22no—
1292C42—22no—
1293C42—24no—
1294C42—24no—
1295C42—24no—
1296C42—24no—
1297C42—24no—
1298C42—44no—
1299C42—42no—
1300C42—41no—
1301C42—44no—
1302C42—44no—
1303C42—44no—
1304C42—44no—
1305C42—44no—
1306C42—44no—
1307C23—21no—
1308C23—21no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—21no—
1314C23—21no—
1315C23—22no—
1316C23—22no—
1317C23—24no—
1318C23—22no—
1319C23—24no—
1320C23—22no—
1321C23—24no—
1322C23—24no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—24no—
1330C23—24no—
1331C23—22no—
1332C23—22no—
1333C23—24no—
1334C23—22no—
1335C23—22no—
1336C23—44no—
1337C23—84no—
1338C23—82no—
1339C23—82no—
1340C23—84no—
1341C23C2×H(5,𝔽2)12yes—
1342C23C2×H(5,𝔽2)12yes—
1343C23C2611yescharacteristic
1344Q8—44no—
1345Q8—88no—
1346Q8—88no—
1347Q8—162no—
1348D4—44no—
1349D4—48no—
1350D4—48no—
1351D4—48no—
1352D4—88no—
1353D4—82no—
1354D4—84no—
1355D4—84no—
1356D4—88no—
1357D4—88no—
1358D4—84no—
1359D4—84no—
1360D4—88no—
1361D4—164no—
1362D4—162no—
1363D4—164no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—24no—
1368C2×C4—21no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—21no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—21no—
1382C2×C4—24no—
1383C2×C4—24no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—44no—
1424C2×C4—48no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—48no—
1428C2×C4—48no—
1429C2×C4—84no—
1430C2×C4—84no—
1431C2×C4—82no—
1432C2×C4—84no—
1433C2×C4—84no—
1434C2×C4—82no—
1435C2×C4—88no—
1436C2×C4—164no—
1437C2×C4—164no—
1438C2×C4—164no—
1439C2×C4C2×H(5,𝔽2)14yes—
1440C2×C4C2×H(5,𝔽2)12yes—
1441C2×C4C2×H(5,𝔽2)12yes—
1442C2×C4#58514yes—
1443C2×C4#58514yes—
1444C22—24no—
1445C22—24no—
1446C22—22no—
1447C22—22no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—44no—
1457C22—44no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—44no—
1465C22—42no—
1466C22—42no—
1467C22—44no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—44no—
1472C22—44no—
1473C22—42no—
1474C22—42no—
1475C22—88no—
1476C22C22×H(5,𝔽2)11yescharacteristic
1477C22C22×H(5,𝔽2)11yescharacteristic
1478C22C2×#58512yes—
1479C22C2×#58512yes—
1480C222−1+611yescharacteristic
1481C4—24no—
1482C4—24no—
1483C4—22no—
1484C4—41no—
1485C4—42no—
1486C4—41no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—44no—
1491C4—44no—
1492C4—42no—
1493C4—44no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—41no—
1498C4—44no—
1499C4—42no—
1500C4—44no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4#354014yes—
1505C2—42no—
1506C2—42no—
1507C2—82no—
1508C2—84no—
1509C2—82no—
1510C2C2×#354011yescharacteristic
1511C2#6289511yescharacteristic
1512C2#6293912yes—
1513C2#6301812yes—
1514C2#6302111yescharacteristic
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. #59827C2semidirect
2. #59714C2semidirect
3. #59628C2semidirect
4. #59628C2semidirect
5. #59139C2semidirect
6. #58306C2semidirect
7. #56794C2semidirect
8. #56507C2semidirect
9. #52293C2semidirect
10. #52064C2semidirect
11. #50684C2semidirect
12. #48710C2semidirect
13. #48199C2semidirect
14. #45601C2semidirect
15. #45478C2semidirect
16. #45386C2semidirect
17. #45208C2semidirect
18. #45176C2semidirect
19. #42758C2semidirect
20. #42503C2semidirect
21. #42473C2semidirect
22. #40068C2semidirect
23. #39789C2semidirect
24. #39169C2semidirect
25. #39122C2semidirect
26. #37080C2semidirect
27. #36848C2semidirect
28. #36516C2semidirect
29. #36438C2semidirect
35. C2×#550C22semidirect
36. C22×#125C22semidirect
38. #2858C22semidirect
40. #2855C22semidirect
45. #2830C22semidirect
51. #2800C22semidirect
53. #2796C22semidirect
55. #2788C22semidirect
57. #2782C22semidirect
59. #2779C22semidirect
60. #2767C22semidirect
61. #2758C22semidirect
63. #2754C22semidirect
67. #2750C22semidirect
68. #2750C22semidirect
69. #2750C22semidirect
73. #2739C22semidirect
74. #2737C22semidirect
76. #2729C22semidirect
77. #2725C22semidirect
79. #2724C22semidirect
80. #2719C22semidirect
85. #2712C22semidirect
93. #2700C22semidirect
99. #2691C22semidirect
108. #2676C22semidirect
113. #2665C22semidirect
115. #2650C22semidirect
117. #2649C22semidirect
119. #2641C22semidirect
122. #2628C22semidirect
123. #2627C22semidirect
127. #2600C22semidirect
130. #2588C22semidirect
131. #2582C22semidirect
132. #2574C22semidirect
133. #2566C22semidirect
134. #2566C22semidirect
136. #2563C22semidirect
141. #2551C22semidirect
142. #2550C22semidirect
144. #2547C22semidirect
149. #2533C22semidirect
150. #2518C22semidirect
151. #2513C22semidirect
152. #2511C22semidirect
153. #2511C22semidirect
154. #2505C22semidirect
156. #2503C22semidirect
157. #2503C22semidirect
159. #2497C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
169. #2490C22semidirect
174. #2486C22semidirect
176. #2481C22semidirect
182. #2468C22semidirect
183. #2460C22semidirect
185. #2459C22semidirect
186. #2459C22semidirect
187. #2458C22semidirect
188. #2458C22semidirect
189. #2458C22semidirect
191. #2453C22semidirect
192. #2452C22semidirect
194. #2447C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
198. #2444C22semidirect
201. #2442C22semidirect
214. #2416C22semidirect
220. #2407C22semidirect
225. #2370C22semidirect
226. #2365C22semidirect
227. #2365C22semidirect
231. #2361C22semidirect
232. #2357C22semidirect
236. D4×C4⋊C4C22semidirect
239. #2345C22semidirect
240. #2339C22semidirect
241. #2337C22semidirect
242. #2329C22semidirect
244. #2324C22semidirect
246. #2314C22semidirect
247. #2311C22semidirect
248. C4×C4⋊Q8C22semidirect
255. C4×#121C22semidirect
258. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#598272
#597142
#596282
#591392
#583062
#567942
#565072
#522932
#520642
#506842
#487102
#481992
#456012
#454782
#453862
#452082
#451762
#427582
#425032
#424732
#400682
#397892
#391692
#391222
#370802
#368482
#365162
#364382