Finite Group Databasebeta

← #8175759

Subgroups — #8175759

Order 512.

5031 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59315C212yesmaximal, complemented
2#59034C212yesmaximal, complemented
3#57178C214yesmaximal, complemented
4#56381C214yesmaximal, complemented
5#55915C214yesmaximal, complemented
6#54901C214yesmaximal, complemented
7#53134C212yesmaximal, complemented
8#52963C212yesmaximal, complemented
9#52551C214yesmaximal, complemented
10#44244C214yesmaximal, complemented
11#42466C212yesmaximal, complemented
12#42424C212yesmaximal, complemented
13#42112C214yesmaximal, complemented
14#41041C214yesmaximal, complemented
15#40010C212yesmaximal, complemented
16#39958C212yesmaximal, complemented
17#39694C212yesmaximal, complemented
18#37845C212yesmaximal, complemented
19#37839C212yesmaximal, complemented
20#37515C211yesmaximal, characteristic, complemented
21#37477C211yesmaximal, characteristic, complemented
22#37425C211yesmaximal, characteristic, complemented
23#37283C211yesmaximal, characteristic, complemented
24#36157C212yesmaximal, complemented
25#35261C211yesmaximal, characteristic, complemented
26#34737C211yesmaximal, characteristic, complemented
27#34634C211yesmaximal, characteristic, complemented
28C2×#555C2212yescomplemented
29C2×#553C2212yes—
30C2×#547C2212yescomplemented
31C2×#540C2211yescharacteristic, complemented
32C2×#533C2211yescharacteristic, complemented
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×#117C2211yescharacteristic
37#2856C2211yescharacteristic, complemented
38#2851C2212yes—
39#2851C2211yescharacteristic, complemented
40#2847C2212yes—
41#2847C2212yes—
42#2841C2214yes—
43#2836C2214yescomplemented
44#2831C2214yescomplemented
45#2831C2214yescomplemented
46#2829C2214yescomplemented
47#2827C2214yescomplemented
48#2827C2214yescomplemented
49#2827C2214yescomplemented
50#2826C2214yes—
51#2825C2214yes—
52#2814C2214yescomplemented
53#2813C2214yes—
54#2809C2214yescomplemented
55#2804C2214yes—
56#2796C2214yescomplemented
57#2788C2214yescomplemented
58#2782C2214yescomplemented
59#2781C2214yescomplemented
60#2780C2214yes—
61#2780C2214yes—
62#2773C2214yescomplemented
63#2770C2214yescomplemented
64#2762C2214yescomplemented
65#2756C2214yescomplemented
66#2749C2214yes—
67#2748C2214yes—
68#2748C2214yescomplemented
69#2746C2214yes—
70#2742C2214yescomplemented
71#2740C2214yescomplemented
72#2732C2214yescomplemented
73#2730C2214yes—
74#2717C2214yescomplemented
75#2708C2214yes—
76#2708C2214yescomplemented
77#2708C2214yescomplemented
78#2706C2214yes—
79#2706C2214yescomplemented
80#2703C2214yescomplemented
81#2701C2214yes—
82#2700C2214yescomplemented
83#2696C2214yes—
84#2696C2214yes—
85#2696C2214yescomplemented
86#2693C2214yescomplemented
87#2693C2214yescomplemented
88#2692C2214yescomplemented
89#2688C2214yescomplemented
90#2678C2214yes—
91#2676C2214yes—
92#2676C2214yes—
93#2675C2214yes—
94#2672C2214yescomplemented
95#2672C2214yescomplemented
96#2671C2214yes—
97#2671C2214yes—
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2670C2214yes—
101#2668C2214yes—
102#2662C2214yescomplemented
103#2661C2214yescomplemented
104#2659C2214yescomplemented
105#2655C2214yescomplemented
106#2653C2214yes—
107#2653C2214yescomplemented
108#2646C2214yescomplemented
109#2639C2214yescomplemented
110#2632C2214yescomplemented
111#2629C2211yescharacteristic
112#2629C2211yescharacteristic
113#2629C2211yescharacteristic
114#2629C2211yescharacteristic, complemented
115#2629C2211yescharacteristic, complemented
116#2628C2212yes—
117#2628C2212yes—
118#2628C2212yescomplemented
119#2627C2214yescomplemented
120#2626C2214yes—
121#2624C2212yescomplemented
122#2619C2211yescharacteristic
123#2615C2214yes—
124#2615C2212yes—
125#2601C2214yescomplemented
126#2580C2214yes—
127#2577C2214yescomplemented
128#2575C2214yescomplemented
129#2564C2214yes—
130#2563C2212yescomplemented
131#2563C2212yescomplemented
132#2562C2212yes—
133#2557C2214yes—
134#2555C2214yescomplemented
135#2550C2212yescomplemented
136#2547C2212yescomplemented
137#2540C2214yescomplemented
138#2539C2214yes—
139#2536C2214yescomplemented
140#2535C2212yes—
141#2535C2212yescomplemented
142#2535C2212yescomplemented
143#2521C2214yescomplemented
144#2509C2212yescomplemented
145#2508C2212yescomplemented
146#2505C2214yescomplemented
147#2495C2212yescomplemented
148#2494C2212yescomplemented
149#2490C2212yescomplemented
150#2490C2212yescomplemented
151#2488C2214yescomplemented
152#2487C2212yes—
153#2487C2212yescomplemented
154#2486C2212yescomplemented
155#2485C2212yes—
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2481C2214yes—
159#2478C2214yescomplemented
160#2477C2214yescomplemented
161#2476C2214yescomplemented
162#2471C2214yes—
163#2471C2214yes—
164#2467C2214yes—
165#2465C2214yescomplemented
166#2465C2214yescomplemented
167#2461C2214yescomplemented
168#2458C2214yescomplemented
169#2458C2214yescomplemented
170#2457C2214yes—
171#2456C2214yes—
172#2454C2212yescomplemented
173#2452C2212yescomplemented
174#2444C2214yes—
175#2443C2214yescomplemented
176#2442C2212yescomplemented
177#2442C2212yescomplemented
178#2442C2212yescomplemented
179#2442C2212yescomplemented
180#2441C2212yescomplemented
181#2441C2212yescomplemented
182#2440C2212yescomplemented
183#2440C2212yescomplemented
184#2437C2214yes—
185#2430C2214yescomplemented
186#2430C2214yescomplemented
187#2428C2212yescomplemented
188#2428C2212yescomplemented
189#2427C2214yes—
190#2425C2214yescomplemented
191#2424C2214yes—
192#2422C2212yescomplemented
193#2422C2212yescomplemented
194#2421C2214yescomplemented
195#2418C2214yes—
196#2417C2212yes—
197#2416C2212yes—
198#2416C2212yes—
199#2416C2212yescomplemented
200#2416C2212yescomplemented
201#2415C2212yes—
202#2414C2212yes—
203#2414C2212yes—
204#2414C2212yescomplemented
205#2414C2212yescomplemented
206#2413C2212yes—
207#2412C2212yes—
208#2411C2212yes—
209#2410C2214yes—
210#2410C2212yes—
211#2407C2214yes—
212#2404C2214yes—
213#2396C2214yes—
214#2396C2214yescomplemented
215#2392C2212yes—
216#2392C2212yes—
217#2365C2212yescomplemented
218#2364C2214yes—
219#2359C2214yescomplemented
220#2358C2214yes—
221#2352C2212yes—
222#2352C2212yescomplemented
223#2352C2212yescomplemented
224#2349C2212yescomplemented
225#2341C2214yescomplemented
226#2335C2214yescomplemented
227#2324C2212yes—
228#2324C2212yes—
229#2324C2214yescomplemented
230#2314C2211yescharacteristic, complemented
231#2311C2212yes—
232C4×#121C2212yes—
233C4×#121C2212yes—
234C4×#121C2212yes—
235C4×#121C2212yescomplemented
236#2297C2211yescharacteristic
237#2296C2211yescharacteristic
238#2296C2212yescomplemented
239#2285C2211yescharacteristic, complemented
240#2280C2212yes—
241#2280C2211yescharacteristic
242C2×#380C2212yes—
243C22×#41C2311yescharacteristic
244C22×#41C2314yes—
245C23×D4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248#555—48no—
249#553—48no—
250#547—48no—
251#540—44no—
252#533—44no—
253C2×C4⋊Q8C2312yes—
254C2×C4⋊Q8C2312yes—
255C2×#127C2311yescharacteristic
256C2×#126C2314yes—
257C2×#125C2312yes—
258C2×#125C2311yescharacteristic
259C2×#125C2311yescharacteristic
260C2×#125C2311yescharacteristic
261C2×#124C2314yes—
262C2×#124C2314yes—
263C2×#124C2314yes—
264#525—44no—
265#525—44no—
266C2×#123C2314yes—
267C2×#123C2314yes—
268C2×#123C2312yes—
269C2×#123C2312yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×C22⋊Q8C2314yes—
276C2×C22⋊Q8C2314yes—
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2312yes—
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2314yes—
281C2×C22⋊Q8C2314yes—
282C2×C22⋊Q8C2314yes—
283C2×#121C2312yes—
284C2×#121C2312yes—
285C2×#121C2314yes—
286C2×#121C2312yes—
287C2×#121C2312yes—
288C2×#121C2312yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2312yes—
292C2×#121C2312yes—
293C2×#121C2312yes—
294C2×#121C2314yes—
295C2×#121C2312yes—
296C2×#121C2311yescharacteristic
297C2×#121C2312yes—
298C2×#121C2311yescharacteristic
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#120C2314yes—
305C2×#120C2312yes—
306C2×#120C2312yes—
307C2×#120C2314yes—
308C2×C4×Q8C2314yes—
309C2×C4×Q8C2314yes—
310C2×C4×D4—44no—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×#117—44no—
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2312yes—
329C2×#117C2312yes—
330C2×#117C2311yescharacteristic
331C2×#117C2314yes—
332C2×#117C2312yes—
333C2×#117C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C2×#117C2312yes—
336C2×#117C2312yes—
337C22×C4⋊C4C2312yes—
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2312yes—
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2314yes—
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349#401C2314yes—
350#400C2314yes—
351#400C2314yes—
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#399C2314yes—
365#399C2314yes—
366#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2314yes—
372#399C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2312yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2312yes—
388#398C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2312yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2312yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2312yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2312yes—
422#396C2312yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
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#392C2314yes—
468#392C2314yes—
469#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2312yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2314yes—
482#390C2312yes—
483#390C2314yes—
484#390C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2312yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2312yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2312yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2312yes—
542#388C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2312yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2312yes—
588#386C2312yes—
589#386C2312yes—
590#386C2312yes—
591#386C2312yes—
592#386C2314yes—
593#386C2314yes—
594#385C2312yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2312yes—
617#384C2311yescharacteristic
618#384C2311yescharacteristic
619#384C2311yescharacteristic
620#383C2314yes—
621#382C2312yes—
622#382C2312yes—
623#382C2314yes—
624#382C2311yescharacteristic
625#382C2314yes—
626#382C2312yes—
627#381C2314yes—
628#381C2312yes—
629#381C2314yes—
630#380C2312yes—
631#380C2312yes—
632#380C2312yes—
633#380C2312yes—
634#380C2314yes—
635#380C2312yes—
636#380C2312yes—
637#380C2312yes—
638#380C2314yes—
639#380C2314yes—
640#380C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2314yes—
644#380C2314yes—
645#380C2314yes—
646#380C2312yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2312yes—
651#380C2312yes—
652#380C2314yes—
653#380C2312yes—
654#380C2312yes—
655#380C2314yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#379C2314yes—
661#379C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2312yes—
670C4×C22⋊C4C2314yes—
671C4×C22⋊C4C2314yes—
672C4×C22⋊C4C2314yes—
673C4×C22⋊C4C2314yes—
674C4×C22⋊C4C2314yes—
675C4×C22⋊C4C2314yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2312yes—
678C4×C22⋊C4C2312yes—
679C4×C22⋊C4C2312yes—
680C4×C22⋊C4C2312yes—
681C2×#95C2314yes—
682C2×#95C2314yes—
683C25C2411yescharacteristic
684C25C2411yescharacteristic
685C2×#41—24no—
686C2×#41—42no—
687C2×#41—42no—
688C2×#41—48no—
689C2×#41—48no—
690C2×#41—84no—
691C22×Q8C2414yes—
692C22×Q8C2411yescharacteristic
693C22×Q8C2414yes—
694C22×D4—42no—
695C22×D4—44no—
696C22×D4C2412yes—
697C22×D4C2412yes—
698C22×D4C2412yes—
699C22×D4C2412yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2412yes—
703C22×D4C2412yes—
704C22×D4C2414yes—
705C22×D4C2412yes—
706C22×D4C2414yes—
707C22×D4C2411yescharacteristic
708C22×D4C2412yes—
709C22×D4C2414yes—
710C22×D4C2414yes—
711C22×D4C2414yes—
712C22×D4C2414yes—
713C23×C4—24no—
714C23×C4—24no—
715C23×C4—24no—
716C23×C4—42no—
717C23×C4—42no—
718C23×C4—42no—
719C23×C4C2412yes—
720C23×C4C2412yes—
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2412yes—
728C23×C4C2414yes—
729C23×C4C2411yescharacteristic
730C23×C4C2414yes—
731C23×C4C2412yes—
732C23×C4C2411yescharacteristic
733C23×C4C2414yes—
734C23×C4C2412yes—
735C23×C4C2414yes—
736C23×C4C2411yescharacteristic
737C23×C4C2414yes—
738C23×C4C2414yes—
739C4⋊Q8—28no—
740C4⋊Q8—44no—
741#127—42no—
742#126—48no—
743#125—42no—
744#125—42no—
745#125—42no—
746#125—44no—
747#124—48no—
748#124—48no—
749#124—84no—
750#123—44no—
751#123—48no—
752#123—48no—
753#123—48no—
754#123—48no—
755#123—44no—
756#123—48no—
757#123—48no—
758#123—84no—
759C22⋊Q8—42no—
760C22⋊Q8—44no—
761C22⋊Q8—42no—
762C22⋊Q8—48no—
763C22⋊Q8—48no—
764C22⋊Q8—84no—
765C22⋊Q8—84no—
766C22⋊Q8—84no—
767#121—28no—
768#121—28no—
769#121—42no—
770#121—48no—
771#121—44no—
772#121—44no—
773#121—48no—
774#121—44no—
775#121—48no—
776#121—48no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—48no—
783#121—42no—
784#121—84no—
785#121—84no—
786#121—84no—
787#121—84no—
788#120—44no—
789#120—48no—
790#120—44no—
791#120—84no—
792C4×Q8—48no—
793C4×Q8—84no—
794C4×D4—28no—
795C4×D4—28no—
796C4×D4—28no—
797C4×D4—28no—
798C4×D4—48no—
799C4×D4—44no—
800C4×D4—44no—
801C4×D4—44no—
802C4×D4—44no—
803C4×D4—44no—
804C4×D4—44no—
805C4×D4—44no—
806C4×D4—84no—
807C4×D4—84no—
808#117—28no—
809#117—24no—
810#117—24no—
811#117—42no—
812#117—42no—
813#117—42no—
814#117—44no—
815#117—44no—
816#117—48no—
817#117—44no—
818#117—44no—
819C2×C4⋊C4—44no—
820C2×C4⋊C4—42no—
821C2×C4⋊C4—44no—
822C2×C4⋊C4—44no—
823C2×C4⋊C4—44no—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C22⋊C4—44no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4—84no—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C42—24no—
938C2×C42—42no—
939C2×C42—42no—
940C2×C42C2411yescharacteristic
941C2×C42C2414yes—
942C2×C42C2412yes—
943C2×C42C2411yescharacteristic
944C2×C42C2411yescharacteristic
945C2×C42C2412yes—
946C2×C42C2412yes—
947C2×C42C2414yes—
948C2×C42C2412yes—
949C2×C42C2414yes—
950C2×C42C2412yes—
951C2×C42C2414yes—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2411yescharacteristic
955#95C2412yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2412yes—
966#95C2412yes—
967#95C2414yes—
968#95C2414yes—
969#95C2412yes—
970#95C2414yes—
971#95C2414yes—
972#95C2412yes—
973#95C2414yes—
974#95C2412yes—
975#95C2414yes—
976#95C2412yes—
977#95C2412yes—
978#95C2414yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2412yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004C24—22no—
1005C24—22no—
1006C24—24no—
1007C24—22no—
1008C24—41no—
1009C24—41no—
1010C24—42no—
1011C24—42no—
1012C24—41no—
1013C24—42no—
1014C24C2511yescharacteristic
1015C24C2514yes—
1016C24C2512yes—
1017C24C2511yescharacteristic
1018C24C2511yescharacteristic
1019C24C2512yes—
1020#41—88no—
1021#41—832no—
1022C2×Q8—28no—
1023C2×Q8—22no—
1024C2×Q8—44no—
1025C2×Q8—44no—
1026C2×Q8—41no—
1027C2×Q8—41no—
1028C2×Q8—44no—
1029C2×Q8—44no—
1030C2×Q8—44no—
1031C2×D4—24no—
1032C2×D4—24no—
1033C2×D4—24no—
1034C2×D4—24no—
1035C2×D4—24no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—24no—
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—24no—
1042C2×D4—24no—
1043C2×D4—24no—
1044C2×D4—24no—
1045C2×D4—24no—
1046C2×D4—22no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—42no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—416no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—28no—
1091C22×C4—22no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—24no—
1095C22×C4—22no—
1096C22×C4—24no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—28no—
1106C22×C4—24no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—42no—
1112C22×C4—416no—
1113C22×C4—41no—
1114C22×C4—42no—
1115C22×C4—41no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—44no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—44no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—44no—
1130C22×C4—41no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—88no—
1141C22×C4H(5,𝔽2)14yes—
1142C22×C42−1+414yes—
1143C22×C4C2514yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2511yescharacteristic
1149C22×C4C2514yes—
1150C22×C4C2514yes—
1151C22×C4C2514yes—
1152C22×C4C2514yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2514yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2511yescharacteristic
1162C22×C4C2511yescharacteristic
1163C22×C4C2511yescharacteristic
1164C4⋊C4—24no—
1165C4⋊C4—24no—
1166C4⋊C4—24no—
1167C4⋊C4—24no—
1168C4⋊C4—24no—
1169C4⋊C4—24no—
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—24no—
1175C4⋊C4—28no—
1176C4⋊C4—24no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—44no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C22⋊C4—24no—
1213C22⋊C4—28no—
1214C22⋊C4—24no—
1215C22⋊C4—28no—
1216C22⋊C4—24no—
1217C22⋊C4—24no—
1218C22⋊C4—24no—
1219C22⋊C4—24no—
1220C22⋊C4—24no—
1221C22⋊C4—28no—
1222C22⋊C4—24no—
1223C22⋊C4—24no—
1224C22⋊C4—28no—
1225C22⋊C4—24no—
1226C22⋊C4—28no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—42no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—42no—
1252C22⋊C4—44no—
1253C22⋊C4—42no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—42no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C42—24no—
1274C42—22no—
1275C42—22no—
1276C42—22no—
1277C42—24no—
1278C42—28no—
1279C42—24no—
1280C42—42no—
1281C42—42no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42H(5,𝔽2)14yes—
1288C23—21no—
1289C23—22no—
1290C23—22no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—21no—
1303C23—24no—
1304C23—22no—
1305C23—24no—
1306C23—22no—
1307C23—21no—
1308C23—24no—
1309C23—21no—
1310C23—22no—
1311C23—22no—
1312C23—24no—
1313C23—22no—
1314C23—22no—
1315C23—24no—
1316C23—22no—
1317C23—22no—
1318C23—24no—
1319C23—24no—
1320C23—22no—
1321C23—44no—
1322C23—44no—
1323C23—48no—
1324C23—44no—
1325C23—82no—
1326C23—82no—
1327C23—84no—
1328C23—84no—
1329C23—82no—
1330C23—84no—
1331C23C2×H(5,𝔽2)12yes—
1332C23C2×2−1+412yes—
1333C23#58514yes—
1334C23C2611yescharacteristic
1335Q8—416no—
1336Q8—82no—
1337Q8—164no—
1338D4—48no—
1339D4—48no—
1340D4—48no—
1341D4—48no—
1342D4—82no—
1343D4—84no—
1344D4—88no—
1345D4—88no—
1346D4—84no—
1347D4—88no—
1348D4—84no—
1349D4—88no—
1350D4—84no—
1351D4—88no—
1352D4—164no—
1353D4—164no—
1354D4—164no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—28no—
1362C2×C4—28no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—24no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—48no—
1420C2×C4—48no—
1421C2×C4—84no—
1422C2×C4—84no—
1423C2×C4—88no—
1424C2×C4—82no—
1425C2×C4—88no—
1426C2×C4—88no—
1427C2×C4—82no—
1428C2×C4—84no—
1429C2×C4—88no—
1430C2×C4—164no—
1431C2×C4—164no—
1432C2×C4C2×H(5,𝔽2)12yes—
1433C2×C4C2×H(5,𝔽2)14yes—
1434C2×C4C2×H(5,𝔽2)12yes—
1435C2×C4C2×H(5,𝔽2)12yes—
1436C2×C4C2×2−1+412yes—
1437C2×C4C2×2−1+412yes—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—24no—
1442C22—22no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—42no—
1447C22—41no—
1448C22—41no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—41no—
1456C22—42no—
1457C22—44no—
1458C22—44no—
1459C22—41no—
1460C22—42no—
1461C22—44no—
1462C22—41no—
1463C22—42no—
1464C22—42no—
1465C22—44no—
1466C22—42no—
1467C22—44no—
1468C22—42no—
1469C22—44no—
1470C22—44no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—88no—
1475C22—88no—
1476C22C22×H(5,𝔽2)11yescharacteristic
1477C22C22×H(5,𝔽2)11yescharacteristic
1478C22C22×2−1+411yescharacteristic
1479C22C2×#58512yes—
1480C22H(7,𝔽2)12yes—
1481C4—22no—
1482C4—22no—
1483C4—24no—
1484C4—41no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—44no—
1490C4—42no—
1491C4—44no—
1492C4—44no—
1493C4—42no—
1494C4—42no—
1495C4—44no—
1496C4—42no—
1497C4—44no—
1498C4—44no—
1499C4—42no—
1500C4—44no—
1501C4#353614yes—
1502C2—42no—
1503C2—44no—
1504C2—42no—
1505C2—82no—
1506C2—84no—
1507C2—81no—
1508C2C2×#353611yescharacteristic
1509C2#6272911yescharacteristic
1510C2#6288011yescharacteristic
1511C2#6292412yes—
1512C2#6295812yes—
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. #59315C2semidirect
2. #59034C2semidirect
3. #57178C2semidirect
4. #56381C2semidirect
5. #55915C2semidirect
6. #54901C2semidirect
7. #53134C2semidirect
8. #52963C2semidirect
9. #52551C2semidirect
10. #44244C2semidirect
11. #42466C2semidirect
12. #42424C2semidirect
13. #42112C2semidirect
14. #41041C2semidirect
15. #40010C2semidirect
16. #39958C2semidirect
17. #39694C2semidirect
18. #37845C2semidirect
19. #37839C2semidirect
20. #37515C2semidirect
21. #37477C2semidirect
22. #37425C2semidirect
23. #37283C2semidirect
24. #36157C2semidirect
25. #35261C2semidirect
26. #34737C2semidirect
27. #34634C2semidirect
28. C2×#555C22semidirect
30. C2×#547C22semidirect
31. C2×#540C22semidirect
32. C2×#533C22semidirect
37. #2856C22semidirect
39. #2851C22semidirect
43. #2836C22semidirect
44. #2831C22semidirect
45. #2831C22semidirect
46. #2829C22semidirect
47. #2827C22semidirect
48. #2827C22semidirect
49. #2827C22semidirect
52. #2814C22semidirect
54. #2809C22semidirect
56. #2796C22semidirect
57. #2788C22semidirect
58. #2782C22semidirect
59. #2781C22semidirect
62. #2773C22semidirect
63. #2770C22semidirect
64. #2762C22semidirect
65. #2756C22semidirect
68. #2748C22semidirect
70. #2742C22semidirect
71. #2740C22semidirect
72. #2732C22semidirect
74. #2717C22semidirect
76. #2708C22semidirect
77. #2708C22semidirect
79. #2706C22semidirect
80. #2703C22semidirect
82. #2700C22semidirect
85. #2696C22semidirect
86. #2693C22semidirect
87. #2693C22semidirect
88. #2692C22semidirect
89. #2688C22semidirect
94. #2672C22semidirect
95. #2672C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
102. #2662C22semidirect
103. #2661C22semidirect
104. #2659C22semidirect
105. #2655C22semidirect
107. #2653C22semidirect
108. #2646C22semidirect
109. #2639C22semidirect
110. #2632C22semidirect
114. #2629C22semidirect
115. #2629C22semidirect
118. #2628C22semidirect
119. #2627C22semidirect
121. #2624C22semidirect
125. #2601C22semidirect
127. #2577C22semidirect
128. #2575C22semidirect
130. #2563C22semidirect
131. #2563C22semidirect
134. #2555C22semidirect
135. #2550C22semidirect
136. #2547C22semidirect
137. #2540C22semidirect
139. #2536C22semidirect
141. #2535C22semidirect
142. #2535C22semidirect
143. #2521C22semidirect
144. #2509C22semidirect
145. #2508C22semidirect
146. #2505C22semidirect
147. #2495C22semidirect
148. #2494C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
151. #2488C22semidirect
153. #2487C22semidirect
154. #2486C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
159. #2478C22semidirect
160. #2477C22semidirect
161. #2476C22semidirect
165. #2465C22semidirect
166. #2465C22semidirect
167. #2461C22semidirect
168. #2458C22semidirect
169. #2458C22semidirect
172. #2454C22semidirect
173. #2452C22semidirect
175. #2443C22semidirect
176. #2442C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
179. #2442C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
182. #2440C22semidirect
183. #2440C22semidirect
185. #2430C22semidirect
186. #2430C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
190. #2425C22semidirect
192. #2422C22semidirect
193. #2422C22semidirect
194. #2421C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
214. #2396C22semidirect
217. #2365C22semidirect
219. #2359C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
224. #2349C22semidirect
225. #2341C22semidirect
226. #2335C22semidirect
229. #2324C22semidirect
230. #2314C22semidirect
235. C4×#121C22semidirect
238. #2296C22semidirect
239. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#593152
#590342
#571782
#563812
#559152
#549012
#531342
#529632
#525512
#442442
#424662
#424242
#421122
#410412
#400102
#399582
#396942
#378452
#378392
#375152
#374772
#374252
#372832
#361572
#352612
#347372
#346342