Finite Group Databasebeta

← #8657061

Subgroups — #8657061

Order 512.

4596 conjugacy classes of subgroups.

The subgroup lattice has 1470 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59073C212yesmaximal, complemented
2#57661C214yesmaximal, complemented
3#56659C212yesmaximal, complemented
4#55661C214yesmaximal, complemented
5#52991C211yesmaximal, characteristic, complemented
6#51440C214yesmaximal, complemented
7#48513C214yesmaximal, complemented
8#47879C214yesmaximal, complemented
9#47187C214yesmaximal, complemented
10#46999C212yesmaximal, complemented
11#45625C212yesmaximal, complemented
12#45493C211yesmaximal, characteristic, complemented
13#45345C211yesmaximal, characteristic, complemented
14#45081C212yesmaximal, complemented
15#43598C212yesmaximal, complemented
16#42863C212yesmaximal, complemented
17#42680C211yesmaximal, characteristic, complemented
18#40612C212yesmaximal, complemented
19#40076C212yesmaximal, complemented
20#40047C212yesmaximal, complemented
21#39466C211yesmaximal, characteristic
22#39259C212yesmaximal, complemented
23#38930C212yesmaximal, complemented
24#37384C212yesmaximal, complemented
25#36107C212yesmaximal, complemented
26#35987C211yesmaximal, characteristic, complemented
27#35654C212yesmaximal, complemented
28#35014C212yesmaximal, complemented
29#34754C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#546C2211yescharacteristic
32C2×#529C2212yes—
33C22×#121C2211yescharacteristic
34C2×#520C2211yescharacteristic, complemented
35#2857C2212yescomplemented
36#2857C2212yescomplemented
37#2854C2212yes—
38#2850C2212yes—
39#2848C2212yes—
40#2848C2211yescharacteristic
41#2842C2212yes—
42#2841C2212yes—
43#2839C2214yescomplemented
44#2839C2214yescomplemented
45#2836C2214yescomplemented
46#2835C2212yescomplemented
47#2816C2212yescomplemented
48#2807C2212yes—
49#2802C2214yescomplemented
50#2798C2214yescomplemented
51#2798C2214yescomplemented
52#2794C2212yescomplemented
53#2790C2214yescomplemented
54#2780C2214yescomplemented
55#2780C2214yescomplemented
56#2779C2214yescomplemented
57#2779C2214yescomplemented
58#2777C2214yescomplemented
59#2773C2214yescomplemented
60#2772C2214yescomplemented
61#2771C2212yes—
62#2771C2212yes—
63#2771C2214yes—
64#2771C2214yescomplemented
65#2768C2214yescomplemented
66#2767C2214yescomplemented
67#2754C2214yescomplemented
68#2753C2214yescomplemented
69#2748C2212yes—
70#2748C2214yescomplemented
71#2747C2214yescomplemented
72#2746C2214yescomplemented
73#2744C2214yes—
74#2743C2214yescomplemented
75#2743C2214yescomplemented
76#2743C2214yescomplemented
77#2743C2214yescomplemented
78#2743C2214yescomplemented
79#2743C2214yescomplemented
80#2741C2214yescomplemented
81#2740C2214yescomplemented
82#2738C2214yescomplemented
83#2738C2214yescomplemented
84#2738C2214yescomplemented
85#2735C2214yes—
86#2732C2214yescomplemented
87#2728C2214yescomplemented
88#2722C2214yescomplemented
89#2722C2212yescomplemented
90#2718C2214yescomplemented
91#2708C2214yes—
92#2706C2214yescomplemented
93#2702C2214yescomplemented
94#2698C2214yescomplemented
95#2696C2214yescomplemented
96#2696C2214yescomplemented
97#2695C2214yes—
98#2692C2214yescomplemented
99#2688C2214yes—
100#2687C2214yescomplemented
101#2685C2214yes—
102#2667C2214yes—
103#2658C2211yescharacteristic, complemented
104#2655C2214yescomplemented
105#2650C2214yescomplemented
106#2649C2214yescomplemented
107#2647C2212yescomplemented
108#2647C2212yescomplemented
109#2646C2214yescomplemented
110#2626C2214yes—
111#2626C2212yes—
112#2624C2211yescharacteristic, complemented
113#2624C2212yescomplemented
114#2623C2212yescomplemented
115#2613C2212yes—
116#2607C2212yes—
117#2601C2214yescomplemented
118#2600C2214yescomplemented
119#2596C2214yescomplemented
120#2592C2211yescharacteristic, complemented
121#2589C2214yes—
122#2589C2214yescomplemented
123#2587C2214yes—
124#2587C2214yescomplemented
125#2584C2212yescomplemented
126#2582C2212yescomplemented
127#2579C2214yescomplemented
128#2575C2214yes—
129#2571C2212yescomplemented
130#2565C2212yescomplemented
131#2561C2214yes—
132#2559C2214yes—
133#2554C2214yescomplemented
134#2553C2214yescomplemented
135#2542C2211yescharacteristic
136#2542C2212yescomplemented
137#2538C2212yescomplemented
138#2536C2214yescomplemented
139#2535C2212yes—
140#2523C2211yescharacteristic
141#2518C2212yes—
142#2517C2211yescharacteristic
143#2511C2212yescomplemented
144#2510C2212yescomplemented
145#2505C2212yescomplemented
146#2503C2211yescharacteristic
147#2503C2214yescomplemented
148#2501C2211yescharacteristic, complemented
149#2498C2212yescomplemented
150#2497C2212yes—
151#2497C2212yescomplemented
152#2497C2212yescomplemented
153#2496C2212yescomplemented
154#2493C2212yescomplemented
155#2492C2212yes—
156#2492C2212yescomplemented
157#2492C2212yescomplemented
158#2490C2212yes—
159#2488C2212yescomplemented
160#2487C2211yescharacteristic
161#2486C2211yescharacteristic
162#2485C2214yescomplemented
163#2484C2214yescomplemented
164#2483C2212yes—
165#2483C2211yescharacteristic
166#2482C2214yes—
167#2482C2212yes—
168#2482C2212yes—
169#2480C2214yes—
170#2478C2214yescomplemented
171#2478C2214yescomplemented
172#2477C2214yescomplemented
173#2476C2214yes—
174#2470C2214yescomplemented
175#2470C2214yescomplemented
176#2470C2214yescomplemented
177#2470C2214yescomplemented
178#2468C2214yescomplemented
179#2468C2214yescomplemented
180#2467C2214yescomplemented
181#2458C2214yes—
182#2458C2214yescomplemented
183#2457C2214yescomplemented
184#2453C2212yescomplemented
185#2452C2212yescomplemented
186#2450C2214yescomplemented
187#2449C2214yescomplemented
188#2448C2212yescomplemented
189#2447C2212yescomplemented
190#2447C2212yescomplemented
191#2446C2212yescomplemented
192#2446C2212yescomplemented
193#2444C2214yes—
194#2443C2214yescomplemented
195#2442C2212yes—
196#2442C2212yescomplemented
197#2437C2214yes—
198#2437C2211yescharacteristic
199#2435C2212yes—
200#2432C2212yescomplemented
201#2429C2212yes—
202#2429C2212yescomplemented
203#2429C2212yescomplemented
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yescomplemented
208#2425C2214yes—
209#2423C2212yes—
210#2423C2212yes—
211#2423C2212yescomplemented
212#2421C2214yescomplemented
213#2420C2212yes—
214#2420C2212yes—
215#2418C2214yes—
216#2417C2214yescomplemented
217#2417C2212yescomplemented
218#2412C2212yes—
219#2412C2212yes—
220#2407C2212yes—
221#2405C2214yes—
222#2401C2212yes—
223#2398C2211yescharacteristic
224#2395C2211yescharacteristic
225C2×#399C2212yes—
226#2376C2214yescomplemented
227#2375C2212yes—
228#2367C2212yescomplemented
229#2365C2212yescomplemented
230#2360C2212yes—
231#2354C2212yescomplemented
232#2351C2212yescomplemented
233D4×C4⋊C4C2212yescomplemented
234#2344C2214yescomplemented
235#2342C2214yes—
236#2339C2211yescharacteristic, complemented
237D4×C22⋊C4C2214yes—
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2211yescharacteristic
240#2329C2214yescomplemented
241#2329C2214yescomplemented
242#2327C2212yescomplemented
243#2326C2212yescomplemented
244#2323C2212yescomplemented
245#2323C2214yescomplemented
246#2319C2211yescharacteristic, complemented
247#2319C2212yescomplemented
248#2312C2214yes—
249#2308C2212yes—
250C4×C22⋊Q8C2212yescomplemented
251C4×C22⋊Q8C2212yescomplemented
252C4×C22⋊Q8C2212yescomplemented
253C4×#123C2212yescomplemented
254C4×#121C2212yes—
255C4×#120C2211yescharacteristic
256#2290C2212yescomplemented
257#2283C2212yescomplemented
258C2×C4×C22⋊C4C2212yes—
259C22×#41C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C24×C4C2311yescharacteristic
263#556—44no—
264#546—44no—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2311yescharacteristic
268#529—48no—
269C2×#126C2314yes—
270C2×#126C2314yes—
271C2×#126C2314yes—
272C2×#125C2312yes—
273C2×#124C2312yes—
274C2×#124C2312yes—
275C2×#124C2311yescharacteristic
276C2×#123C2312yes—
277C2×#123C2314yes—
278C2×#123C2314yes—
279C2×#123C2312yes—
280C2×#123C2314yes—
281C2×#123C2312yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2311yescharacteristic
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×#121—44no—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2311yescharacteristic
299C2×#121C2314yes—
300C2×#120C2311yescharacteristic
301C2×#120C2312yes—
302#520—44no—
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2312yes—
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2314yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2314yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2312yes—
317C2×C4×D4C2314yes—
318C2×#117C2311yescharacteristic
319C2×#117C2314yes—
320C2×#117C2312yes—
321C2×#117C2312yes—
322C2×#117C2314yes—
323C22×C4⋊C4C2312yes—
324C22×C4⋊C4C2314yes—
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2314yes—
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2312yes—
331C22×C22⋊C4C2312yes—
332C22×C22⋊C4C2312yes—
333C22×C42C2312yes—
334C22×C42C2312yes—
335#401C2312yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2312yes—
345#400C2312yes—
346#400C2312yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2311yescharacteristic
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2312yes—
361#400C2312yes—
362#400C2314yes—
363#399C2312yes—
364#399C2312yes—
365#399C2314yes—
366#399C2312yes—
367#399C2312yes—
368#399C2312yes—
369#399C2314yes—
370#399C2314yes—
371#399C2312yes—
372#399C2311yescharacteristic
373#399C2312yes—
374#399C2314yes—
375#399C2312yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2311yescharacteristic
387#398C2312yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#397C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2311yescharacteristic
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2311yescharacteristic
416#397C2311yescharacteristic
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#395C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#393C2311yescharacteristic
452#393C2312yes—
453#393C2314yes—
454#393C2314yes—
455#393C2311yescharacteristic
456#393C2314yes—
457#393C2314yes—
458#392C2314yes—
459#392C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2312yes—
482#390C2314yes—
483#389C2312yes—
484#389C2312yes—
485#389C2314yes—
486#389C2312yes—
487#389C2312yes—
488#389C2314yes—
489#389C2314yes—
490#389C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2312yes—
542#388C2314yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2312yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2312yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2312yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2312yes—
578#387C2312yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2312yes—
593#386C2314yes—
594#386C2314yes—
595#386C2312yes—
596#386C2314yes—
597#386C2311yescharacteristic
598#386C2312yes—
599#386C2312yes—
600#386C2312yes—
601#385C2314yes—
602#385C2312yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2312yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2312yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2312yes—
625#385C2312yes—
626#385C2312yes—
627#385C2312yes—
628#385C2312yes—
629#385C2311yescharacteristic
630#384C2312yes—
631#384C2312yes—
632#384C2312yes—
633#384C2312yes—
634#383C2312yes—
635#383C2312yes—
636#382C2312yes—
637#382C2314yes—
638#382C2312yes—
639#382C2314yes—
640#382C2312yes—
641#382C2312yes—
642#381C2312yes—
643#381C2314yes—
644#381C2314yes—
645#381C2312yes—
646#381C2312yes—
647#381C2312yes—
648#381C2312yes—
649#381C2314yes—
650#381C2314yes—
651#381C2312yes—
652#381C2314yes—
653#381C2312yes—
654#381C2312yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2314yes—
664#380C2312yes—
665#380C2311yescharacteristic
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2311yescharacteristic
670#380C2314yes—
671#380C2314yes—
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#379C2312yes—
678#379C2314yes—
679#379C2311yescharacteristic
680#379C2312yes—
681#379C2314yes—
682#379C2314yes—
683#379C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712#376C2312yes—
713#376C2311yescharacteristic
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C25C2412yes—
718C25C2411yescharacteristic
719C2×#41—24no—
720C2×#41—44no—
721C22×Q8C2412yes—
722C22×Q8C2411yescharacteristic
723C22×Q8C2414yes—
724C22×Q8C2411yescharacteristic
725C22×D4—28no—
726C22×D4—24no—
727C22×D4—44no—
728C22×D4—44no—
729C22×D4—82no—
730C22×D4C2411yescharacteristic
731C22×D4C2414yes—
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2411yescharacteristic
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2414yes—
738C22×D4C2412yes—
739C23×C4—42no—
740C23×C4—44no—
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2412yes—
744C23×C4C2414yes—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2414yes—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2411yescharacteristic
753C23×C4C2414yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C4⋊Q8—44no—
758C4⋊Q8—44no—
759C4⋊Q8—42no—
760#126—48no—
761#126—48no—
762#126—84no—
763#125—44no—
764#124—28no—
765#124—44no—
766#124—42no—
767#123—48no—
768#123—44no—
769#123—48no—
770#123—44no—
771#123—82no—
772#123—84no—
773C22⋊Q8—44no—
774C22⋊Q8—44no—
775C22⋊Q8—48no—
776C22⋊Q8—48no—
777C22⋊Q8—44no—
778C22⋊Q8—44no—
779C22⋊Q8—48no—
780C22⋊Q8—44no—
781C22⋊Q8—44no—
782C22⋊Q8—44no—
783C22⋊Q8—42no—
784C22⋊Q8—84no—
785#121—28no—
786#121—48no—
787#121—44no—
788#121—42no—
789#121—44no—
790#120—24no—
791#120—44no—
792C4×Q8—42no—
793C4×Q8—44no—
794C4×Q8—44no—
795C4×Q8—44no—
796C4×Q8—44no—
797C4×Q8—84no—
798C4×D4—28no—
799C4×D4—24no—
800C4×D4—44no—
801C4×D4—44no—
802C4×D4—44no—
803C4×D4—42no—
804C4×D4—48no—
805C4×D4—48no—
806C4×D4—84no—
807#117—42no—
808#117—44no—
809#117—48no—
810#117—44no—
811#117—84no—
812C2×C4⋊C4—48no—
813C2×C4⋊C4—42no—
814C2×C4⋊C4—42no—
815C2×C4⋊C4—44no—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C22⋊C4—28no—
872C2×C22⋊C4—48no—
873C2×C22⋊C4—44no—
874C2×C22⋊C4—44no—
875C2×C22⋊C4—44no—
876C2×C22⋊C4—82no—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2411yescharacteristic
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2411yescharacteristic
893C2×C22⋊C4C2411yescharacteristic
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2411yescharacteristic
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C42—44no—
934C2×C42—44no—
935C2×C42C2412yes—
936C2×C42C2411yescharacteristic
937C2×C42C2412yes—
938C2×C42C2412yes—
939C2×C42C2412yes—
940C2×C42C2412yes—
941C2×C42C2412yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2412yes—
949C2×C42C2414yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953#95C2411yescharacteristic
954#95C2412yes—
955#95C2412yes—
956#95C2412yes—
957#95C2412yes—
958#95C2412yes—
959#95C2412yes—
960#95C2412yes—
961#95C2412yes—
962#95C2412yes—
963#95C2414yes—
964#95C2411yescharacteristic
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2411yescharacteristic
969#95C2412yes—
970#95C2412yes—
971#95C2412yes—
972#95C2412yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2411yescharacteristic
979#95C2412yes—
980#95C2412yes—
981#95C2414yes—
982#95C2412yes—
983#95C2412yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2412yes—
988#95C2414yes—
989#95C2414yes—
990#95C2412yes—
991#95C2414yes—
992#95C2412yes—
993#95C2414yes—
994#95C2412yes—
995#95C2414yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022C24—24no—
1023C24—24no—
1024C24—42no—
1025C24—41no—
1026C24—42no—
1027C24—41no—
1028C24—42no—
1029C24—44no—
1030C24—44no—
1031C242−1+414yes—
1032C24C2512yes—
1033C24C2511yescharacteristic
1034C24C2512yes—
1035C24C2511yescharacteristic
1036C24C2512yes—
1037#41—416no—
1038C2×Q8—24no—
1039C2×Q8—22no—
1040C2×Q8—24no—
1041C2×Q8—24no—
1042C2×Q8—24no—
1043C2×Q8—28no—
1044C2×Q8—41no—
1045C2×Q8—44no—
1046C2×Q8—42no—
1047C2×Q8—44no—
1048C2×D4—24no—
1049C2×D4—28no—
1050C2×D4—28no—
1051C2×D4—24no—
1052C2×D4—22no—
1053C2×D4—24no—
1054C2×D4—28no—
1055C2×D4—22no—
1056C2×D4—24no—
1057C2×D4—24no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—41no—
1061C2×D4—42no—
1062C2×D4—44no—
1063C2×D4—42no—
1064C2×D4—41no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—42no—
1068C2×D4—44no—
1069C2×D4—88no—
1070C2×D4—816no—
1071C2×D4H(5,𝔽2)14yes—
1072C22×C4—24no—
1073C22×C4—24no—
1074C22×C4—28no—
1075C22×C4—24no—
1076C22×C4—24no—
1077C22×C4—24no—
1078C22×C4—24no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—24no—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—24no—
1085C22×C4—28no—
1086C22×C4—24no—
1087C22×C4—44no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—41no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—42no—
1102C22×C4—44no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—44no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—44no—
1114C22×C4—88no—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2511yescharacteristic
1119C22×C4C2514yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2514yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2511yescharacteristic
1126C22×C4C2511yescharacteristic
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2514yes—
1130C22×C4C2511yescharacteristic
1131C22×C4C2512yes—
1132C22×C4C2514yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2514yes—
1136C22×C4C2514yes—
1137C22×C4C2512yes—
1138C22×C4C2511yescharacteristic
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—22no—
1142C4⋊C4—24no—
1143C4⋊C4—28no—
1144C4⋊C4—24no—
1145C4⋊C4—24no—
1146C4⋊C4—24no—
1147C4⋊C4—24no—
1148C4⋊C4—24no—
1149C4⋊C4—41no—
1150C4⋊C4—42no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—42no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—44no—
1158C4⋊C4—42no—
1159C4⋊C4—44no—
1160C4⋊C4—42no—
1161C4⋊C4—44no—
1162C4⋊C4—42no—
1163C4⋊C4—41no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—42no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—42no—
1186C4⋊C4—44no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—24no—
1198C22⋊C4—28no—
1199C22⋊C4—24no—
1200C22⋊C4—24no—
1201C22⋊C4—24no—
1202C22⋊C4—24no—
1203C22⋊C4—22no—
1204C22⋊C4—24no—
1205C22⋊C4—24no—
1206C22⋊C4—24no—
1207C22⋊C4—28no—
1208C22⋊C4—24no—
1209C22⋊C4—41no—
1210C22⋊C4—42no—
1211C22⋊C4—44no—
1212C22⋊C4—42no—
1213C22⋊C4—44no—
1214C22⋊C4—42no—
1215C22⋊C4—44no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—41no—
1219C22⋊C4—44no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—41no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—42no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—42no—
1243C22⋊C4—44no—
1244C22⋊C4—42no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C42—24no—
1251C42—24no—
1252C42—22no—
1253C42—24no—
1254C42—24no—
1255C42—24no—
1256C42—42no—
1257C42—42no—
1258C42—42no—
1259C42—42no—
1260C42—44no—
1261C42—44no—
1262C42—44no—
1263C42—44no—
1264C42—44no—
1265C42—44no—
1266C42—44no—
1267C42—42no—
1268C23—21no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—24no—
1276C23—22no—
1277C23—22no—
1278C23—24no—
1279C23—22no—
1280C23—21no—
1281C23—22no—
1282C23—22no—
1283C23—21no—
1284C23—21no—
1285C23—22no—
1286C23—24no—
1287C23—22no—
1288C23—22no—
1289C23—24no—
1290C23—21no—
1291C23—22no—
1292C23—44no—
1293C23—48no—
1294C23—48no—
1295C23—84no—
1296C23—84no—
1297C23—88no—
1298C23—82no—
1299C23—82no—
1300C23—84no—
1301C23—164no—
1302C23C2×H(5,𝔽2)14yes—
1303C23C2×2−1+412yes—
1304C23C2×2−1+414yes—
1305C23C2611yescharacteristic
1306Q8—48no—
1307Q8—44no—
1308Q8—88no—
1309Q8—82no—
1310D4—28no—
1311D4—416no—
1312D4—48no—
1313D4—44no—
1314D4—84no—
1315D4—82no—
1316D4—84no—
1317D4—88no—
1318D4—162no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—22no—
1328C2×C4—24no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—21no—
1341C2×C4—24no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—24no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—22no—
1358C2×C4—24no—
1359C2×C4—24no—
1360C2×C4—22no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—24no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—21no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—48no—
1383C2×C4—48no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—84no—
1387C2×C4—88no—
1388C2×C4—88no—
1389C2×C4—84no—
1390C2×C4—84no—
1391C2×C4—84no—
1392C2×C4—84no—
1393C2×C4—84no—
1394C2×C4—88no—
1395C2×C4—82no—
1396C2×C4—84no—
1397C2×C4—162no—
1398C2×C4C2×H(5,𝔽2)12yes—
1399C2×C4#58514yes—
1400C2×C4#58514yes—
1401C22—24no—
1402C22—24no—
1403C22—24no—
1404C22—24no—
1405C22—24no—
1406C22—22no—
1407C22—24no—
1408C22—24no—
1409C22—42no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—44no—
1414C22—42no—
1415C22—44no—
1416C22—42no—
1417C22—42no—
1418C22—41no—
1419C22—42no—
1420C22—41no—
1421C22—42no—
1422C22—42no—
1423C22—44no—
1424C22—42no—
1425C22—41no—
1426C22—44no—
1427C22—42no—
1428C22—88no—
1429C22—168no—
1430C22C22×H(5,𝔽2)11yescharacteristic
1431C22C22×2−1+411yescharacteristic
1432C22C2×#58512yes—
1433C22C2×#58512yes—
1434C22H(7,𝔽2)11yescharacteristic
1435C4—24no—
1436C4—41no—
1437C4—42no—
1438C4—41no—
1439C4—42no—
1440C4—44no—
1441C4—42no—
1442C4—41no—
1443C4—44no—
1444C4—42no—
1445C4—42no—
1446C4—42no—
1447C4—42no—
1448C4—42no—
1449C4—42no—
1450C4—42no—
1451C4—44no—
1452C4—41no—
1453C4—42no—
1454C4—44no—
1455C4—42no—
1456C4—44no—
1457C4—44no—
1458C4#353314yes—
1459C2—44no—
1460C2—42no—
1461C2—44no—
1462C2—81no—
1463C2—82no—
1464C2C2×#353311yescharacteristic
1465C2#6282312yes—
1466C2#6289411yescharacteristic
1467C2#6294112yes—
1468C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39466C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59073C2semidirect
2. #57661C2semidirect
3. #56659C2semidirect
4. #55661C2semidirect
5. #52991C2semidirect
6. #51440C2semidirect
7. #48513C2semidirect
8. #47879C2semidirect
9. #47187C2semidirect
10. #46999C2semidirect
11. #45625C2semidirect
12. #45493C2semidirect
13. #45345C2semidirect
14. #45081C2semidirect
15. #43598C2semidirect
16. #42863C2semidirect
17. #42680C2semidirect
18. #40612C2semidirect
19. #40076C2semidirect
20. #40047C2semidirect
22. #39259C2semidirect
23. #38930C2semidirect
24. #37384C2semidirect
25. #36107C2semidirect
26. #35987C2semidirect
27. #35654C2semidirect
28. #35014C2semidirect
29. #34754C2semidirect
30. C2×#556C22semidirect
34. C2×#520C22semidirect
35. #2857C22semidirect
36. #2857C22semidirect
43. #2839C22semidirect
44. #2839C22semidirect
45. #2836C22semidirect
46. #2835C22semidirect
47. #2816C22semidirect
49. #2802C22semidirect
50. #2798C22semidirect
51. #2798C22semidirect
52. #2794C22semidirect
53. #2790C22semidirect
54. #2780C22semidirect
55. #2780C22semidirect
56. #2779C22semidirect
57. #2779C22semidirect
58. #2777C22semidirect
59. #2773C22semidirect
60. #2772C22semidirect
64. #2771C22semidirect
65. #2768C22semidirect
66. #2767C22semidirect
67. #2754C22semidirect
68. #2753C22semidirect
70. #2748C22semidirect
71. #2747C22semidirect
72. #2746C22semidirect
74. #2743C22semidirect
75. #2743C22semidirect
76. #2743C22semidirect
77. #2743C22semidirect
78. #2743C22semidirect
79. #2743C22semidirect
80. #2741C22semidirect
81. #2740C22semidirect
82. #2738C22semidirect
83. #2738C22semidirect
84. #2738C22semidirect
86. #2732C22semidirect
87. #2728C22semidirect
88. #2722C22semidirect
89. #2722C22semidirect
90. #2718C22semidirect
92. #2706C22semidirect
93. #2702C22semidirect
94. #2698C22semidirect
95. #2696C22semidirect
96. #2696C22semidirect
98. #2692C22semidirect
100. #2687C22semidirect
103. #2658C22semidirect
104. #2655C22semidirect
105. #2650C22semidirect
106. #2649C22semidirect
107. #2647C22semidirect
108. #2647C22semidirect
109. #2646C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2623C22semidirect
117. #2601C22semidirect
118. #2600C22semidirect
119. #2596C22semidirect
120. #2592C22semidirect
122. #2589C22semidirect
124. #2587C22semidirect
125. #2584C22semidirect
126. #2582C22semidirect
127. #2579C22semidirect
129. #2571C22semidirect
130. #2565C22semidirect
133. #2554C22semidirect
134. #2553C22semidirect
136. #2542C22semidirect
137. #2538C22semidirect
138. #2536C22semidirect
143. #2511C22semidirect
144. #2510C22semidirect
145. #2505C22semidirect
147. #2503C22semidirect
148. #2501C22semidirect
149. #2498C22semidirect
151. #2497C22semidirect
152. #2497C22semidirect
153. #2496C22semidirect
154. #2493C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
159. #2488C22semidirect
162. #2485C22semidirect
163. #2484C22semidirect
170. #2478C22semidirect
171. #2478C22semidirect
172. #2477C22semidirect
174. #2470C22semidirect
175. #2470C22semidirect
176. #2470C22semidirect
177. #2470C22semidirect
178. #2468C22semidirect
179. #2468C22semidirect
180. #2467C22semidirect
182. #2458C22semidirect
183. #2457C22semidirect
184. #2453C22semidirect
185. #2452C22semidirect
186. #2450C22semidirect
187. #2449C22semidirect
188. #2448C22semidirect
189. #2447C22semidirect
190. #2447C22semidirect
191. #2446C22semidirect
192. #2446C22semidirect
194. #2443C22semidirect
196. #2442C22semidirect
200. #2432C22semidirect
202. #2429C22semidirect
203. #2429C22semidirect
207. #2426C22semidirect
211. #2423C22semidirect
212. #2421C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
226. #2376C22semidirect
228. #2367C22semidirect
229. #2365C22semidirect
231. #2354C22semidirect
232. #2351C22semidirect
233. D4×C4⋊C4C22semidirect
234. #2344C22semidirect
236. #2339C22semidirect
240. #2329C22semidirect
241. #2329C22semidirect
242. #2327C22semidirect
243. #2326C22semidirect
244. #2323C22semidirect
245. #2323C22semidirect
246. #2319C22semidirect
247. #2319C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×#123C22semidirect
256. #2290C22semidirect
257. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#590732
#576612
#566592
#556612
#529912
#514402
#485132
#478792
#471872
#469992
#456252
#454932
#453452
#450812
#435982
#428632
#426802
#406122
#400762
#400472
#394662
#392592
#389302
#373842
#361072
#359872
#356542
#350142
#347542