Finite Group Databasebeta

← #7658973

Subgroups — #7658973

Order 512.

5100 conjugacy classes of subgroups.

The subgroup lattice has 1565 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42982C211yesmaximal, characteristic, complemented
2#42975C211yesmaximal, characteristic, complemented
3#42974C212yesmaximal, complemented
4#42472C212yesmaximal, complemented
5#42471C212yesmaximal, complemented
6#42468C212yesmaximal, complemented
7#42467C212yesmaximal, complemented
8#42227C212yesmaximal, complemented
9#42058C214yesmaximal, complemented
10#42057C212yesmaximal, complemented
11#41058C214yesmaximal, complemented
12#41054C214yesmaximal, complemented
13#41042C214yesmaximal, complemented
14#41038C214yesmaximal, complemented
15#37614C212yesmaximal, complemented
16#37605C214yesmaximal, complemented
17#37605C212yesmaximal, complemented
18#37565C211yesmaximal, characteristic, complemented
19#36696C212yesmaximal, complemented
20#36684C211yesmaximal, characteristic, complemented
21#36022C211yesmaximal, characteristic, complemented
22#35830C212yesmaximal, complemented
23#35823C212yesmaximal, complemented
24#35813C212yesmaximal, complemented
25#35785C212yesmaximal, complemented
26#35768C212yesmaximal, complemented
27#35730C211yesmaximal, characteristic, complemented
28#34244C212yesmaximal, complemented
29#34210C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×#553C2212yescomplemented
32C2×#547C2211yescharacteristic, complemented
33C22×#127C2211yescharacteristic
34C2×#529C2212yes—
35C2×#518C2211yescharacteristic
36C2×#518C2211yescharacteristic
37#2843C2212yescomplemented
38#2843C2212yescomplemented
39#2830C2214yescomplemented
40#2830C2212yescomplemented
41#2829C2214yescomplemented
42#2829C2214yescomplemented
43#2829C2214yescomplemented
44#2828C2212yescomplemented
45#2828C2214yescomplemented
46#2823C2211yescharacteristic, complemented
47#2823C2211yescharacteristic, complemented
48#2823C2212yescomplemented
49#2822C2211yescharacteristic, complemented
50#2820C2212yescomplemented
51#2819C2211yescharacteristic, complemented
52#2818C2214yes—
53#2818C2214yes—
54#2814C2212yes—
55#2814C2212yes—
56#2813C2212yes—
57#2813C2212yes—
58#2797C2214yescomplemented
59#2796C2214yescomplemented
60#2786C2214yescomplemented
61#2752C2214yescomplemented
62#2751C2214yescomplemented
63#2740C2214yescomplemented
64#2736C2212yes—
65#2735C2214yes—
66#2735C2212yes—
67#2730C2214yescomplemented
68#2715C2214yescomplemented
69#2712C2214yescomplemented
70#2710C2214yescomplemented
71#2709C2214yescomplemented
72#2709C2214yescomplemented
73#2705C2214yescomplemented
74#2700C2214yescomplemented
75#2697C2214yes—
76#2685C2214yes—
77#2685C2214yes—
78#2684C2214yes—
79#2678C2214yes—
80#2673C2214yescomplemented
81#2673C2214yescomplemented
82#2670C2212yes—
83#2668C2212yes—
84#2667C2214yes—
85#2665C2214yes—
86#2662C2214yescomplemented
87#2662C2214yescomplemented
88#2662C2214yescomplemented
89#2661C2214yescomplemented
90#2661C2214yescomplemented
91#2661C2214yescomplemented
92#2657C2214yes—
93#2651C2214yescomplemented
94#2651C2214yescomplemented
95#2651C2214yescomplemented
96#2648C2214yescomplemented
97#2648C2214yescomplemented
98#2648C2214yescomplemented
99#2641C2214yes—
100#2638C2214yescomplemented
101#2638C2212yescomplemented
102#2635C2212yescomplemented
103#2635C2214yescomplemented
104#2630C2214yescomplemented
105#2630C2214yescomplemented
106#2630C2214yescomplemented
107#2629C2212yes—
108#2628C2211yescharacteristic
109#2628C2211yescharacteristic
110#2619C2212yes—
111#2619C2212yes—
112#2619C2212yes—
113#2619C2212yes—
114#2613C2214yes—
115#2613C2214yes—
116#2612C2212yescomplemented
117#2612C2212yescomplemented
118#2602C2214yescomplemented
119#2601C2214yescomplemented
120#2595C2214yescomplemented
121#2593C2214yescomplemented
122#2593C2212yescomplemented
123#2570C2212yescomplemented
124#2570C2212yescomplemented
125#2566C2212yescomplemented
126#2563C2211yescharacteristic, complemented
127#2561C2212yes—
128#2560C2214yescomplemented
129#2557C2214yescomplemented
130#2557C2214yescomplemented
131#2555C2212yescomplemented
132#2555C2214yescomplemented
133#2554C2214yescomplemented
134#2554C2214yescomplemented
135#2554C2214yescomplemented
136#2550C2212yescomplemented
137#2550C2212yescomplemented
138#2548C2212yes—
139#2548C2212yes—
140#2544C2214yescomplemented
141#2542C2211yescharacteristic, complemented
142#2541C2212yes—
143#2541C2212yes—
144#2539C2212yes—
145#2537C2212yescomplemented
146#2535C2211yescharacteristic, complemented
147#2535C2211yescharacteristic, complemented
148#2534C2214yes—
149#2521C2214yescomplemented
150#2516C2214yescomplemented
151#2513C2212yescomplemented
152#2513C2212yescomplemented
153#2512C2212yescomplemented
154#2512C2212yescomplemented
155#2504C2212yescomplemented
156#2501C2212yescomplemented
157#2500C2212yescomplemented
158#2500C2212yescomplemented
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2482C2212yes—
164#2480C2214yes—
165#2474C2214yescomplemented
166#2472C2214yes—
167#2471C2214yescomplemented
168#2468C2214yescomplemented
169#2468C2214yescomplemented
170#2468C2214yescomplemented
171#2467C2214yescomplemented
172#2464C2214yescomplemented
173#2464C2214yescomplemented
174#2464C2214yescomplemented
175#2461C2214yescomplemented
176#2461C2214yescomplemented
177#2461C2214yescomplemented
178#2459C2214yescomplemented
179#2457C2214yescomplemented
180#2457C2214yescomplemented
181#2457C2214yescomplemented
182#2445C2214yescomplemented
183#2435C2214yes—
184#2433C2214yes—
185#2431C2214yescomplemented
186#2428C2214yescomplemented
187#2424C2214yes—
188#2422C2212yescomplemented
189#2422C2212yescomplemented
190#2420C2212yescomplemented
191#2420C2212yescomplemented
192#2418C2214yes—
193#2416C2212yescomplemented
194#2416C2212yescomplemented
195#2414C2212yescomplemented
196#2414C2212yescomplemented
197#2411C2214yes—
198#2408C2212yes—
199#2408C2212yes—
200#2408C2212yes—
201#2408C2212yes—
202#2404C2212yes—
203#2396C2212yescomplemented
204#2396C2212yescomplemented
205#2395C2214yescomplemented
206#2395C2212yescomplemented
207#2392C2211yescharacteristic
208#2392C2211yescharacteristic
209#2392C2212yes—
210#2392C2214yescomplemented
211#2392C2212yescomplemented
212#2392C2212yescomplemented
213#2392C2214yescomplemented
214#2392C2214yescomplemented
215#2388C2212yescomplemented
216#2388C2214yescomplemented
217#2374C2214yes—
218#2374C2214yes—
219#2372C2214yescomplemented
220#2371C2214yescomplemented
221#2366C2212yes—
222#2366C2212yes—
223#2366C2212yes—
224#2366C2212yes—
225#2363C2212yescomplemented
226#2363C2212yescomplemented
227#2361C2212yescomplemented
228#2361C2212yescomplemented
229#2357C2211yescharacteristic, complemented
230#2357C2211yescharacteristic, complemented
231#2355C2212yescomplemented
232#2355C2212yescomplemented
233#2354C2212yes—
234#2354C2212yes—
235#2354C2212yescomplemented
236#2352C2212yes—
237#2352C2212yes—
238#2352C2212yescomplemented
239#2352C2212yescomplemented
240D4×C22⋊C4C2214yes—
241D4×C22⋊C4C2214yes—
242#2333C2214yes—
243#2332C2214yes—
244#2328C2212yes—
245#2328C2212yes—
246#2314C2212yescomplemented
247#2314C2212yescomplemented
248#2309C2211yescharacteristic
249#2309C2211yescharacteristic
250C4×#127C2212yes—
251C4×#127C2212yes—
252C4×#126C2214yescomplemented
253C4×#126C2214yescomplemented
254#2285C2211yescharacteristic
255#2283C2212yes—
256#2274C2212yescomplemented
257#2274C2212yescomplemented
258C4×#117C2211yescharacteristic
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C23×D4C2314yes—
263#555—44no—
264#553—48no—
265#547—44no—
266C2×C4⋊Q8C2311yescharacteristic
267C2×C4⋊Q8C2311yescharacteristic
268C2×#127—28no—
269C2×#127C2312yes—
270C2×#127C2312yes—
271C2×#127C2312yes—
272C2×#127C2312yes—
273C2×#127C2314yes—
274C2×#127C2314yes—
275#529—216no—
276C2×#126C2312yes—
277C2×#126C2312yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2312yes—
282C2×#125C2312yes—
283C2×#124C2312yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#123C2312yes—
290C2×#123C2312yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2314yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#120C2314yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318#518—44no—
319#518—44no—
320C2×C4×Q8C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2311yescharacteristic
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2314yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2312yes—
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2314yes—
358C22×C22⋊C4C2312yes—
359C22×C42C2311yescharacteristic
360#400C2312yes—
361#400C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2312yes—
365#400C2312yes—
366#399C2312yes—
367#399C2312yes—
368#399C2314yes—
369#399C2312yes—
370#399C2312yes—
371#399C2312yes—
372#399C2314yes—
373#399C2312yes—
374#398C2312yes—
375#398C2311yescharacteristic
376#398C2311yescharacteristic
377#398C2312yes—
378#398C2312yes—
379#398C2312yes—
380#398C2312yes—
381#398C2312yes—
382#398C2312yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#397C2314yes—
390#397C2311yescharacteristic
391#397C2312yes—
392#397C2312yes—
393#397C2312yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2312yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2311yescharacteristic
410#396C2312yes—
411#396C2312yes—
412#396C2312yes—
413#396C2312yes—
414#396C2314yes—
415#396C2314yes—
416#396C2312yes—
417#396C2312yes—
418#396C2312yes—
419#396C2312yes—
420#396C2312yes—
421#396C2312yes—
422#396C2312yes—
423#396C2312yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#395C2312yes—
431#395C2312yes—
432#395C2312yes—
433#395C2314yes—
434#395C2312yes—
435#395C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2311yescharacteristic
450#394C2311yescharacteristic
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#393C2314yes—
484#393C2312yes—
485#393C2312yes—
486#393C2312yes—
487#393C2312yes—
488#393C2312yes—
489#393C2312yes—
490#393C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2312yes—
513#392C2311yescharacteristic
514#392C2311yescharacteristic
515#392C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#384C2311yescharacteristic
641#384C2311yescharacteristic
642#384C2312yes—
643#384C2312yes—
644#384C2312yes—
645#383C2314yes—
646#382C2312yes—
647#382C2311yescharacteristic
648#382C2311yescharacteristic
649#382C2312yes—
650#382C2312yes—
651#382C2311yescharacteristic
652#382C2311yescharacteristic
653#382C2312yes—
654#381C2314yes—
655#381C2314yes—
656#381C2312yes—
657#381C2312yes—
658#381C2314yes—
659#380C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#380C2314yes—
670#379C2314yes—
671#379C2312yes—
672#379C2312yes—
673#379C2314yes—
674#379C2314yes—
675#379C2314yes—
676#379C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2311yescharacteristic
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716#376C2312yes—
717#376C2314yes—
718C43C2312yes—
719C25C2412yes—
720C25C2412yes—
721C2×#41—44no—
722C2×#41—84no—
723C22×Q8C2412yes—
724C22×Q8C2412yes—
725C22×Q8C2412yes—
726C22×D4—24no—
727C22×D4—24no—
728C22×D4—216no—
729C22×D4—42no—
730C22×D4—42no—
731C22×D4—42no—
732C22×D4—42no—
733C22×D4—84no—
734C22×D4—84no—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2411yescharacteristic
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2411yescharacteristic
752C22×D4C2411yescharacteristic
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2411yescharacteristic
761C23×C4C2412yes—
762C23×C4C2414yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2414yes—
769C23×C4C2412yes—
770C4⋊Q8—42no—
771C4⋊Q8—42no—
772#127—28no—
773#127—28no—
774#127—28no—
775#127—28no—
776#127—84no—
777#127—84no—
778#126—28no—
779#126—28no—
780#126—48no—
781#126—84no—
782#126—84no—
783#125—28no—
784#125—44no—
785#124—28no—
786#124—48no—
787#124—84no—
788#124—84no—
789#124—84no—
790#124—84no—
791#123—28no—
792#123—28no—
793#123—48no—
794#123—48no—
795#123—84no—
796#123—84no—
797#123—84no—
798#123—84no—
799C22⋊Q8—28no—
800C22⋊Q8—44no—
801C22⋊Q8—84no—
802#121—28no—
803#121—48no—
804#121—44no—
805#121—44no—
806#121—44no—
807#121—44no—
808#121—44no—
809#121—44no—
810#121—44no—
811#121—44no—
812#121—44no—
813#121—84no—
814#121—84no—
815#121—84no—
816#120—84no—
817#120—84no—
818#120—84no—
819#120—84no—
820C4×Q8—28no—
821C4×D4—28no—
822C4×D4—28no—
823C4×D4—24no—
824C4×D4—28no—
825C4×D4—24no—
826C4×D4—28no—
827C4×D4—44no—
828C4×D4—44no—
829C4×D4—44no—
830C4×D4—42no—
831C4×D4—42no—
832C4×D4—44no—
833C4×D4—44no—
834C4×D4—42no—
835C4×D4—48no—
836C4×D4—44no—
837C4×D4—42no—
838C4×D4—84no—
839C4×D4—84no—
840C4×D4—84no—
841C4×D4—84no—
842C4×D4—84no—
843C4×D4—84no—
844#117—24no—
845#117—28no—
846#117—28no—
847#117—28no—
848#117—42no—
849#117—42no—
850#117—44no—
851#117—42no—
852#117—44no—
853#117—84no—
854C2×C4⋊C4—28no—
855C2×C4⋊C4—44no—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C22⋊C4—48no—
905C2×C22⋊C4—44no—
906C2×C22⋊C4—44no—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2411yescharacteristic
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C42#4118yescomplemented
981C2×C42C2414yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2414yes—
989C2×C42C2414yes—
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2411yescharacteristic
1012#95C2411yescharacteristic
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049C24—24no—
1050C24—24no—
1051C24—42no—
1052C24—42no—
1053C24—42no—
1054C24—42no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24C2514yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2512yes—
1064C24C2511yescharacteristic
1065#41—816no—
1066C2×Q8—24no—
1067C2×Q8—42no—
1068C2×Q8—42no—
1069C2×Q8—42no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8—42no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—24no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—22no—
1086C2×D4—24no—
1087C2×D4—22no—
1088C2×D4—24no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—41no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—416no—
1102C2×D4—416no—
1103C2×D4—42no—
1104C2×D4—44no—
1105C2×D4—41no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—832no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—28no—
1153C22×C4—24no—
1154C22×C4—28no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4C2×#4114yes—
1174C22×C4C2×#4118yes—
1175C22×C4C2514yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2514yes—
1178C22×C4C2512yes—
1179C22×C4C2514yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2514yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2514yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C4⋊C4—24no—
1199C4⋊C4—24no—
1200C4⋊C4—24no—
1201C4⋊C4—24no—
1202C4⋊C4—24no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—28no—
1210C4⋊C4—22no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—44no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—44no—
1224C4⋊C4—41no—
1225C4⋊C4—44no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4H(5,𝔽2)14yes—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—28no—
1258C22⋊C4—24no—
1259C22⋊C4—24no—
1260C22⋊C4—28no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—42no—
1264C22⋊C4—44no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—42no—
1273C22⋊C4—44no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C42—24no—
1320C42—24no—
1321C42—28no—
1322C42—24no—
1323C42—24no—
1324C42—22no—
1325C42—22no—
1326C42—42no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42—44no—
1331C42—44no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42C2×#4118yes—
1337C42C2×#4114yes—
1338C42C2×#4114yes—
1339C23—21no—
1340C23—21no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—24no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—24no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—24no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—24no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—24no—
1367C23—24no—
1368C23—24no—
1369C23—24no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—48no—
1375C23—48no—
1376C23—88no—
1377C23—88no—
1378C23—162no—
1379C23—162no—
1380C23—164no—
1381C23—164no—
1382C23—162no—
1383C23—162no—
1384C23C22×#4112yes—
1385C23C2611yescharacteristic
1386Q8—84no—
1387Q8—84no—
1388Q8—162no—
1389D4—48no—
1390D4—48no—
1391D4—416no—
1392D4—416no—
1393D4—44no—
1394D4—44no—
1395D4—48no—
1396D4—44no—
1397D4—84no—
1398D4—88no—
1399D4—88no—
1400D4—84no—
1401D4—84no—
1402D4—82no—
1403D4—88no—
1404D4—88no—
1405D4—84no—
1406D4—88no—
1407D4—88no—
1408D4—164no—
1409D4—164no—
1410D4—164no—
1411D4—164no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—28no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—48no—
1470C2×C4—48no—
1471C2×C4—48no—
1472C2×C4—88no—
1473C2×C4—84no—
1474C2×C4—84no—
1475C2×C4—88no—
1476C2×C4—164no—
1477C2×C4—162no—
1478C2×C4—164no—
1479C2×C4—162no—
1480C2×C4C22×#4114yes—
1481C2×C4C22×#4112yes—
1482C2×C4C22×#4114yes—
1483C2×C4C22×#4112yes—
1484C2×C4C2×H(5,𝔽2)14yes—
1485C2×C4C2×H(5,𝔽2)12yes—
1486C2×C4#58512yes—
1487C22—24no—
1488C22—22no—
1489C22—41no—
1490C22—42no—
1491C22—41no—
1492C22—42no—
1493C22—42no—
1494C22—44no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—44no—
1501C22—44no—
1502C22—42no—
1503C22—44no—
1504C22—44no—
1505C22—44no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—44no—
1511C22—44no—
1512C22—44no—
1513C22—44no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—44no—
1522C22—42no—
1523C22—168no—
1524C22—168no—
1525C22C23×#4111yescharacteristic
1526C22C22×H(5,𝔽2)11yescharacteristic
1527C22C2×#58511yescharacteristic
1528C22H(7,𝔽2)12yes—
1529C22H(7,𝔽2)12yes—
1530C4—24no—
1531C4—24no—
1532C4—24no—
1533C4—22no—
1534C4—42no—
1535C4—41no—
1536C4—41no—
1537C4—44no—
1538C4—44no—
1539C4—44no—
1540C4—44no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—41no—
1545C4—44no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4#346014yes—
1553C2—42no—
1554C2—82no—
1555C2—82no—
1556C2—82no—
1557C2—84no—
1558C2—82no—
1559C2C2×#346011yescharacteristic
1560C2#6285512yes—
1561C2#6304111yescharacteristic
1562C2#6306012yes—
1563C2#6306611yescharacteristic
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. #42982C2semidirect
2. #42975C2semidirect
3. #42974C2semidirect
4. #42472C2semidirect
5. #42471C2semidirect
6. #42468C2semidirect
7. #42467C2semidirect
8. #42227C2semidirect
9. #42058C2semidirect
10. #42057C2semidirect
11. #41058C2semidirect
12. #41054C2semidirect
13. #41042C2semidirect
14. #41038C2semidirect
15. #37614C2semidirect
16. #37605C2semidirect
17. #37605C2semidirect
18. #37565C2semidirect
19. #36696C2semidirect
20. #36684C2semidirect
21. #36022C2semidirect
22. #35830C2semidirect
23. #35823C2semidirect
24. #35813C2semidirect
25. #35785C2semidirect
26. #35768C2semidirect
27. #35730C2semidirect
28. #34244C2semidirect
29. #34210C2semidirect
30. C2×#555C22semidirect
31. C2×#553C22semidirect
32. C2×#547C22semidirect
37. #2843C22semidirect
38. #2843C22semidirect
39. #2830C22semidirect
40. #2830C22semidirect
41. #2829C22semidirect
42. #2829C22semidirect
43. #2829C22semidirect
44. #2828C22semidirect
45. #2828C22semidirect
46. #2823C22semidirect
47. #2823C22semidirect
48. #2823C22semidirect
49. #2822C22semidirect
50. #2820C22semidirect
51. #2819C22semidirect
58. #2797C22semidirect
59. #2796C22semidirect
60. #2786C22semidirect
61. #2752C22semidirect
62. #2751C22semidirect
63. #2740C22semidirect
67. #2730C22semidirect
68. #2715C22semidirect
69. #2712C22semidirect
70. #2710C22semidirect
71. #2709C22semidirect
72. #2709C22semidirect
73. #2705C22semidirect
74. #2700C22semidirect
80. #2673C22semidirect
81. #2673C22semidirect
86. #2662C22semidirect
87. #2662C22semidirect
88. #2662C22semidirect
89. #2661C22semidirect
90. #2661C22semidirect
91. #2661C22semidirect
93. #2651C22semidirect
94. #2651C22semidirect
95. #2651C22semidirect
96. #2648C22semidirect
97. #2648C22semidirect
98. #2648C22semidirect
100. #2638C22semidirect
101. #2638C22semidirect
102. #2635C22semidirect
103. #2635C22semidirect
104. #2630C22semidirect
105. #2630C22semidirect
106. #2630C22semidirect
116. #2612C22semidirect
117. #2612C22semidirect
118. #2602C22semidirect
119. #2601C22semidirect
120. #2595C22semidirect
121. #2593C22semidirect
122. #2593C22semidirect
123. #2570C22semidirect
124. #2570C22semidirect
125. #2566C22semidirect
126. #2563C22semidirect
128. #2560C22semidirect
129. #2557C22semidirect
130. #2557C22semidirect
131. #2555C22semidirect
132. #2555C22semidirect
133. #2554C22semidirect
134. #2554C22semidirect
135. #2554C22semidirect
136. #2550C22semidirect
137. #2550C22semidirect
140. #2544C22semidirect
141. #2542C22semidirect
145. #2537C22semidirect
146. #2535C22semidirect
147. #2535C22semidirect
149. #2521C22semidirect
150. #2516C22semidirect
151. #2513C22semidirect
152. #2513C22semidirect
153. #2512C22semidirect
154. #2512C22semidirect
155. #2504C22semidirect
156. #2501C22semidirect
157. #2500C22semidirect
158. #2500C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
165. #2474C22semidirect
167. #2471C22semidirect
168. #2468C22semidirect
169. #2468C22semidirect
170. #2468C22semidirect
171. #2467C22semidirect
172. #2464C22semidirect
173. #2464C22semidirect
174. #2464C22semidirect
175. #2461C22semidirect
176. #2461C22semidirect
177. #2461C22semidirect
178. #2459C22semidirect
179. #2457C22semidirect
180. #2457C22semidirect
181. #2457C22semidirect
182. #2445C22semidirect
185. #2431C22semidirect
186. #2428C22semidirect
188. #2422C22semidirect
189. #2422C22semidirect
190. #2420C22semidirect
191. #2420C22semidirect
193. #2416C22semidirect
194. #2416C22semidirect
195. #2414C22semidirect
196. #2414C22semidirect
203. #2396C22semidirect
204. #2396C22semidirect
205. #2395C22semidirect
206. #2395C22semidirect
210. #2392C22semidirect
211. #2392C22semidirect
212. #2392C22semidirect
213. #2392C22semidirect
214. #2392C22semidirect
215. #2388C22semidirect
216. #2388C22semidirect
219. #2372C22semidirect
220. #2371C22semidirect
225. #2363C22semidirect
226. #2363C22semidirect
227. #2361C22semidirect
228. #2361C22semidirect
229. #2357C22semidirect
230. #2357C22semidirect
231. #2355C22semidirect
232. #2355C22semidirect
235. #2354C22semidirect
238. #2352C22semidirect
239. #2352C22semidirect
246. #2314C22semidirect
247. #2314C22semidirect
252. C4×#126C22semidirect
253. C4×#126C22semidirect
256. #2274C22semidirect
257. #2274C22semidirect
980. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#429822
#429752
#429742
#424722
#424712
#424682
#424672
#422272
#420582
#420572
#410582
#410542
#410422
#410382
#376142
#376052
#375652
#366962
#366842
#360222
#358302
#358232
#358132
#357852
#357682
#357302
#342442
#342102