Finite Group Databasebeta

← #8552411

Subgroups — #8552411

Order 512.

5012 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59401C212yesmaximal, complemented
2#58335C212yesmaximal, complemented
3#58075C214yesmaximal, complemented
4#57128C214yesmaximal, complemented
5#55711C214yesmaximal, complemented
6#55702C214yesmaximal, complemented
7#54920C214yesmaximal, complemented
8#52980C212yesmaximal, complemented
9#52966C211yesmaximal, characteristic, complemented
10#52966C212yesmaximal, complemented
11#52203C211yesmaximal, characteristic, complemented
12#51901C214yesmaximal, complemented
13#47457C212yesmaximal, complemented
14#45487C211yesmaximal, characteristic, complemented
15#45380C211yesmaximal, characteristic, complemented
16#45012C212yesmaximal, complemented
17#42986C211yesmaximal, characteristic, complemented
18#42589C212yesmaximal, complemented
19#42425C212yesmaximal, complemented
20#41142C212yesmaximal, complemented
21#39434C212yesmaximal, complemented
22#39402C212yesmaximal, complemented
23#39134C211yesmaximal, characteristic, complemented
24#38942C212yesmaximal, complemented
25#37706C212yesmaximal, complemented
26#37515C212yesmaximal, complemented
27#37332C212yesmaximal, complemented
28#35941C211yesmaximal, characteristic, complemented
29#35549C212yesmaximal, complemented
30C2×#560C2212yes—
31C2×#553C2211yescharacteristic
32C2×#550C2211yescharacteristic, complemented
33C2×#540C2212yes—
34C2×#540C2214yescomplemented
35C2×#535C2211yescharacteristic
36C22×#125C2211yescharacteristic, complemented
37#2856C2212yes—
38#2856C2212yes—
39#2854C2211yescharacteristic, complemented
40#2838C2214yescomplemented
41#2837C2214yescomplemented
42#2834C2214yescomplemented
43#2830C2212yescomplemented
44#2830C2214yescomplemented
45#2825C2214yes—
46#2825C2214yes—
47#2825C2214yes—
48#2825C2214yescomplemented
49#2818C2212yes—
50#2815C2212yes—
51#2815C2212yescomplemented
52#2813C2214yescomplemented
53#2797C2214yescomplemented
54#2787C2214yescomplemented
55#2786C2214yescomplemented
56#2779C2214yes—
57#2778C2214yescomplemented
58#2764C2211yescharacteristic, complemented
59#2763C2211yescharacteristic, complemented
60#2762C2212yescomplemented
61#2761C2214yes—
62#2761C2212yes—
63#2760C2212yes—
64#2760C2212yescomplemented
65#2760C2211yescharacteristic, complemented
66#2756C2214yescomplemented
67#2756C2214yescomplemented
68#2752C2214yescomplemented
69#2749C2212yes—
70#2746C2214yes—
71#2743C2212yescomplemented
72#2738C2214yescomplemented
73#2737C2212yes—
74#2736C2212yes—
75#2721C2214yescomplemented
76#2721C2214yescomplemented
77#2718C2214yescomplemented
78#2714C2214yes—
79#2711C2214yescomplemented
80#2711C2214yescomplemented
81#2711C2214yescomplemented
82#2710C2214yes—
83#2707C2214yescomplemented
84#2707C2214yescomplemented
85#2707C2214yescomplemented
86#2706C2212yes—
87#2703C2214yes—
88#2703C2214yescomplemented
89#2703C2214yescomplemented
90#2699C2214yescomplemented
91#2699C2214yescomplemented
92#2699C2214yescomplemented
93#2699C2212yescomplemented
94#2694C2214yes—
95#2694C2214yes—
96#2693C2211yescharacteristic, complemented
97#2688C2214yes—
98#2688C2214yescomplemented
99#2678C2214yes—
100#2678C2214yes—
101#2678C2214yes—
102#2678C2214yes—
103#2675C2212yes—
104#2675C2214yescomplemented
105#2675C2214yescomplemented
106#2673C2214yes—
107#2673C2214yes—
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2669C2212yes—
116#2669C2214yes—
117#2668C2214yes—
118#2668C2214yes—
119#2662C2212yes—
120#2661C2212yes—
121#2661C2214yes—
122#2661C2214yes—
123#2656C2214yescomplemented
124#2653C2214yescomplemented
125#2653C2214yescomplemented
126#2641C2212yes—
127#2641C2211yescharacteristic, complemented
128#2635C2214yes—
129#2635C2214yescomplemented
130#2631C2212yes—
131#2629C2212yescomplemented
132#2624C2212yes—
133#2619C2212yescomplemented
134#2618C2212yes—
135#2617C2214yes—
136#2615C2212yes—
137#2615C2211yescharacteristic
138#2615C2214yescomplemented
139#2600C2212yes—
140#2600C2214yescomplemented
141#2584C2211yescharacteristic, complemented
142#2580C2212yes—
143#2576C2214yescomplemented
144#2576C2214yescomplemented
145#2570C2212yescomplemented
146#2559C2214yescomplemented
147#2557C2214yes—
148#2553C2214yescomplemented
149#2552C2212yescomplemented
150#2543C2212yescomplemented
151#2541C2212yes—
152#2541C2212yes—
153#2541C2212yes—
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2212yes—
157#2539C2214yes—
158#2537C2214yescomplemented
159#2535C2214yescomplemented
160#2535C2212yescomplemented
161#2518C2214yescomplemented
162#2513C2212yes—
163#2512C2212yes—
164#2510C2214yescomplemented
165#2508C2212yescomplemented
166#2506C2212yescomplemented
167#2501C2212yes—
168#2501C2211yescharacteristic, complemented
169#2500C2214yescomplemented
170#2498C2214yes—
171#2494C2212yes—
172#2494C2212yescomplemented
173#2494C2214yescomplemented
174#2494C2212yescomplemented
175#2493C2214yescomplemented
176#2490C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2490C2212yescomplemented
180#2486C2211yescharacteristic
181#2486C2212yescomplemented
182#2483C2212yes—
183#2475C2214yescomplemented
184#2471C2214yescomplemented
185#2467C2214yescomplemented
186#2464C2214yescomplemented
187#2464C2214yescomplemented
188#2457C2214yescomplemented
189#2456C2214yes—
190#2456C2214yescomplemented
191#2454C2212yes—
192#2454C2212yescomplemented
193#2454C2212yescomplemented
194#2445C2212yes—
195#2444C2214yescomplemented
196#2443C2214yescomplemented
197#2443C2214yescomplemented
198#2441C2212yes—
199#2433C2212yes—
200#2433C2211yescharacteristic
201#2430C2212yes—
202#2430C2214yescomplemented
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2428C2214yes—
207#2428C2212yes—
208#2428C2214yes—
209#2428C2212yes—
210#2428C2212yescomplemented
211#2428C2212yescomplemented
212#2428C2212yescomplemented
213#2425C2214yescomplemented
214#2424C2214yes—
215#2424C2214yes—
216#2422C2212yes—
217#2422C2212yes—
218#2422C2212yescomplemented
219#2420C2212yes—
220#2420C2212yes—
221#2420C2214yescomplemented
222#2420C2214yescomplemented
223#2418C2214yes—
224#2416C2212yes—
225#2416C2214yescomplemented
226#2416C2214yescomplemented
227#2416C2212yescomplemented
228#2414C2214yescomplemented
229#2408C2211yescharacteristic
230#2401C2212yes—
231#2398C2211yescharacteristic
232#2396C2212yescomplemented
233#2388C2211yescharacteristic
234#2388C2212yescomplemented
235#2366C2212yes—
236#2364C2214yescomplemented
237#2363C2212yes—
238#2361C2212yes—
239#2361C2212yescomplemented
240#2354C2212yescomplemented
241#2349C2212yescomplemented
242#2347C2211yescharacteristic
243#2345C2211yescharacteristic, complemented
244D4×C22⋊C4C2212yes—
245#2330C2212yescomplemented
246#2328C2212yes—
247#2322C2212yescomplemented
248#2319C2212yes—
249#2319C2212yescomplemented
250C4×#123C2211yescharacteristic
251C4×#123C2212yescomplemented
252C4×#121C2212yes—
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255#2297C2212yes—
256#2290C2212yescomplemented
257#2283C2212yescomplemented
258#2275C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C23×D4C2311yescharacteristic
262#560—48no—
263#553—44no—
264#550—44no—
265#540—48no—
266#540—416no—
267#535—44no—
268C2×#127C2312yes—
269C2×#127C2312yes—
270C2×#127C2312yes—
271C2×#127C2312yes—
272C2×#127C2312yes—
273C2×#127C2311yescharacteristic
274C2×#127C2312yes—
275C2×#127C2314yes—
276C2×#126C2312yes—
277C2×#126C2314yes—
278C2×#125—44no—
279C2×#125C2312yes—
280C2×#125C2311yescharacteristic
281C2×#125C2312yes—
282C2×#125C2314yes—
283C2×#125C2314yes—
284C2×#124C2312yes—
285C2×#123C2312yes—
286C2×#123C2312yes—
287C2×#123C2311yescharacteristic
288C2×#123C2314yes—
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×#123C2312yes—
296C2×#123C2312yes—
297C2×#123C2314yes—
298C2×#121C2314yes—
299C2×#121C2312yes—
300C2×#121C2311yescharacteristic
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2311yescharacteristic
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#120C2312yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×#117C2311yescharacteristic
356C2×#117C2314yes—
357C2×#117C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C22⋊C4C2314yes—
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2312yes—
366#401C2314yes—
367#401C2314yes—
368#401C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2312yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2312yes—
388#398C2312yes—
389#398C2312yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2312yes—
395#398C2314yes—
396#397C2312yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2311yescharacteristic
413#397C2312yes—
414#397C2311yescharacteristic
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2312yes—
426#396C2314yes—
427#396C2314yes—
428#396C2312yes—
429#396C2312yes—
430#396C2314yes—
431#395C2312yes—
432#395C2311yescharacteristic
433#395C2312yes—
434#394C2311yescharacteristic
435#394C2314yes—
436#394C2314yes—
437#394C2312yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2312yes—
471#393C2314yes—
472#393C2314yes—
473#393C2312yes—
474#393C2311yescharacteristic
475#393C2311yescharacteristic
476#393C2311yescharacteristic
477#392C2312yes—
478#392C2312yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2312yes—
483#392C2312yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2311yescharacteristic
504#392C2314yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#391C2312yes—
511#391C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
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#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#386C2312yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2311yescharacteristic
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2311yescharacteristic
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#384C2312yes—
653#384C2312yes—
654#384C2314yes—
655#383C2312yes—
656#383C2312yes—
657#383C2312yes—
658#382C2312yes—
659#382C2312yes—
660#382C2312yes—
661#382C2314yes—
662#382C2312yes—
663#381C2314yes—
664#381C2314yes—
665#381C2314yes—
666#381C2312yes—
667#381C2314yes—
668#381C2312yes—
669#381C2312yes—
670#381C2312yes—
671#381C2311yescharacteristic
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2311yescharacteristic
676#380C2312yes—
677#380C2311yescharacteristic
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#379C2314yes—
689#379C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715#376C2311yescharacteristic
716#376C2312yes—
717C2×#95C2314yes—
718C2×#95C2312yes—
719C25C2412yes—
720C2×#41—42no—
721C2×#41—44no—
722C2×#41—44no—
723C2×#41—84no—
724C22×Q8C2411yescharacteristic
725C22×Q8C2411yescharacteristic
726C22×D4—42no—
727C22×D4—44no—
728C22×D4C2411yescharacteristic
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2411yescharacteristic
732C22×D4C2414yes—
733C22×D4C2414yes—
734C22×D4C2414yes—
735C22×D4C2414yes—
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2414yes—
763C23×C4C2412yes—
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2411yescharacteristic
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2412yes—
772#127—44no—
773#127—44no—
774#127—44no—
775#127—44no—
776#127—44no—
777#127—42no—
778#127—48no—
779#127—44no—
780#126—44no—
781#126—48no—
782#125—28no—
783#125—44no—
784#125—42no—
785#125—48no—
786#125—48no—
787#124—44no—
788#123—28no—
789#123—28no—
790#123—24no—
791#123—48no—
792#123—48no—
793#123—48no—
794#123—48no—
795#123—44no—
796#123—48no—
797#123—82no—
798#123—84no—
799#123—82no—
800#123—82no—
801#121—28no—
802#121—216no—
803#121—48no—
804#121—44no—
805#121—48no—
806#121—44no—
807#121—48no—
808#121—48no—
809#121—48no—
810#121—44no—
811#121—44no—
812#121—44no—
813#121—44no—
814#121—44no—
815#121—44no—
816#121—48no—
817#121—48no—
818#121—44no—
819#121—42no—
820#121—42no—
821#121—48no—
822#121—48no—
823#121—48no—
824#121—84no—
825#121—84no—
826#121—84no—
827#121—84no—
828#121—84no—
829#121—84no—
830#121—84no—
831#121—84no—
832#121—84no—
833#121—84no—
834#121—84no—
835#121—84no—
836#120—48no—
837#120—48no—
838#120—44no—
839#120—84no—
840#120—84no—
841C4×Q8—42no—
842C4×D4—28no—
843C4×D4—24no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—42no—
852C4×D4—48no—
853C4×D4—48no—
854C4×D4—84no—
855C4×D4—84no—
856C4×D4—84no—
857C4×D4—84no—
858#117—24no—
859#117—44no—
860#117—48no—
861C2×C4⋊C4—24no—
862C2×C4⋊C4—42no—
863C2×C4⋊C4—44no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C22⋊C4—84no—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2411yescharacteristic
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2411yescharacteristic
978C2×C42—42no—
979C2×C42—44no—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2411yescharacteristic
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995#95C2411yescharacteristic
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2412yes—
1003#95C2411yescharacteristic
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2411yescharacteristic
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2411yescharacteristic
1014#95C2414yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050C24—42no—
1051C24—44no—
1052C24—42no—
1053C24—44no—
1054C24—42no—
1055C24C2511yescharacteristic
1056C24C2514yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2514yes—
1060C24C2511yescharacteristic
1061#41—88no—
1062#41—816no—
1063C2×Q8—41no—
1064C2×Q8—42no—
1065C2×Q8—41no—
1066C2×Q8—42no—
1067C2×D4—28no—
1068C2×D4—22no—
1069C2×D4—28no—
1070C2×D4—24no—
1071C2×D4—24no—
1072C2×D4—22no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—41no—
1083C2×D4—42no—
1084C2×D4—44no—
1085C2×D4—42no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—42no—
1091C2×D4—44no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—42no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—41no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—41no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
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—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—88no—
1147C22×C4—24no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—28no—
1158C22×C4—24no—
1159C22×C4—28no—
1160C22×C4—24no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—42no—
1177C22×C4—41no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—41no—
1236C4⋊C4—42no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—41no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4H(5,𝔽2)14yes—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—28no—
1259C22⋊C4—24no—
1260C22⋊C4—28no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—24no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—41no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—42no—
1284C22⋊C4—41no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
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—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
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—42no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—41no—
1324C22⋊C4H(5,𝔽2)14yes—
1325C42—24no—
1326C42—24no—
1327C42—24no—
1328C42—22no—
1329C42—24no—
1330C42—24no—
1331C42—24no—
1332C42—42no—
1333C42—42no—
1334C42—42no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—42no—
1340C23—21no—
1341C23—22no—
1342C23—21no—
1343C23—22no—
1344C23—21no—
1345C23—21no—
1346C23—22no—
1347C23—24no—
1348C23—22no—
1349C23—22no—
1350C23—24no—
1351C23—24no—
1352C23—24no—
1353C23—22no—
1354C23—24no—
1355C23—24no—
1356C23—24no—
1357C23—24no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—21no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—24no—
1367C23—24no—
1368C23—22no—
1369C23—24no—
1370C23—24no—
1371C23—22no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—84no—
1376C23—88no—
1377C23—162no—
1378C23—162no—
1379C23—164no—
1380C23C2×H(5,𝔽2)12yes—
1381C23C2611yescharacteristic
1382Q8—44no—
1383Q8—82no—
1384D4—44no—
1385D4—48no—
1386D4—48no—
1387D4—88no—
1388D4—88no—
1389D4—84no—
1390D4—82no—
1391D4—88no—
1392D4—88no—
1393D4—84no—
1394D4—88no—
1395D4—88no—
1396D4—84no—
1397D4—82no—
1398D4—84no—
1399D4—88no—
1400D4—84no—
1401D4—162no—
1402D4—164no—
1403D4—164no—
1404D4—164no—
1405D4—164no—
1406D4—164no—
1407D4—164no—
1408D4—164no—
1409D4—162no—
1410D4—164no—
1411D4—164no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—48no—
1474C2×C4—84no—
1475C2×C4—84no—
1476C2×C4—88no—
1477C2×C4—84no—
1478C2×C4—88no—
1479C2×C4—84no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—84no—
1483C2×C4—164no—
1484C2×C4—164no—
1485C2×C4—164no—
1486C2×C4—164no—
1487C2×C4C2×H(5,𝔽2)14yes—
1488C2×C4C2×H(5,𝔽2)14yes—
1489C2×C4C2×H(5,𝔽2)12yes—
1490C2×C4#58514yes—
1491C22—22no—
1492C22—24no—
1493C22—41no—
1494C22—41no—
1495C22—42no—
1496C22—42no—
1497C22—41no—
1498C22—44no—
1499C22—42no—
1500C22—44no—
1501C22—42no—
1502C22—44no—
1503C22—42no—
1504C22—44no—
1505C22—41no—
1506C22—42no—
1507C22—44no—
1508C22—44no—
1509C22—42no—
1510C22—44no—
1511C22—44no—
1512C22—44no—
1513C22—42no—
1514C22—44no—
1515C22—42no—
1516C22—41no—
1517C22—42no—
1518C22—44no—
1519C22—42no—
1520C22—44no—
1521C22—44no—
1522C22—44no—
1523C22—42no—
1524C22—44no—
1525C22—44no—
1526C22—42no—
1527C22—168no—
1528C22C22×H(5,𝔽2)11yescharacteristic
1529C22C22×H(5,𝔽2)11yescharacteristic
1530C22C2×#58512yes—
1531C22H(7,𝔽2)12yes—
1532C22H(7,𝔽2)11yescharacteristic
1533C4—24no—
1534C4—24no—
1535C4—41no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—44no—
1545C4—42no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—44no—
1553C4—44no—
1554C4—42no—
1555C4#355114yes—
1556C2—42no—
1557C2—82no—
1558C2—84no—
1559C2—82no—
1560C2—84no—
1561C2—81no—
1562C2C2×#355111yescharacteristic
1563C2#6288312yes—
1564C2#6291611yescharacteristic
1565C2#6292012yes—
1566C2#6304111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59401C2semidirect
2. #58335C2semidirect
3. #58075C2semidirect
4. #57128C2semidirect
5. #55711C2semidirect
6. #55702C2semidirect
7. #54920C2semidirect
8. #52980C2semidirect
9. #52966C2semidirect
10. #52966C2semidirect
11. #52203C2semidirect
12. #51901C2semidirect
13. #47457C2semidirect
14. #45487C2semidirect
15. #45380C2semidirect
16. #45012C2semidirect
17. #42986C2semidirect
18. #42589C2semidirect
19. #42425C2semidirect
20. #41142C2semidirect
21. #39434C2semidirect
22. #39402C2semidirect
23. #39134C2semidirect
24. #38942C2semidirect
25. #37706C2semidirect
26. #37515C2semidirect
27. #37332C2semidirect
28. #35941C2semidirect
29. #35549C2semidirect
32. C2×#550C22semidirect
34. C2×#540C22semidirect
36. C22×#125C22semidirect
39. #2854C22semidirect
40. #2838C22semidirect
41. #2837C22semidirect
42. #2834C22semidirect
43. #2830C22semidirect
44. #2830C22semidirect
48. #2825C22semidirect
51. #2815C22semidirect
52. #2813C22semidirect
53. #2797C22semidirect
54. #2787C22semidirect
55. #2786C22semidirect
57. #2778C22semidirect
58. #2764C22semidirect
59. #2763C22semidirect
60. #2762C22semidirect
64. #2760C22semidirect
65. #2760C22semidirect
66. #2756C22semidirect
67. #2756C22semidirect
68. #2752C22semidirect
71. #2743C22semidirect
72. #2738C22semidirect
75. #2721C22semidirect
76. #2721C22semidirect
77. #2718C22semidirect
79. #2711C22semidirect
80. #2711C22semidirect
81. #2711C22semidirect
83. #2707C22semidirect
84. #2707C22semidirect
85. #2707C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
90. #2699C22semidirect
91. #2699C22semidirect
92. #2699C22semidirect
93. #2699C22semidirect
96. #2693C22semidirect
98. #2688C22semidirect
104. #2675C22semidirect
105. #2675C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
123. #2656C22semidirect
124. #2653C22semidirect
125. #2653C22semidirect
127. #2641C22semidirect
129. #2635C22semidirect
131. #2629C22semidirect
133. #2619C22semidirect
138. #2615C22semidirect
140. #2600C22semidirect
141. #2584C22semidirect
143. #2576C22semidirect
144. #2576C22semidirect
145. #2570C22semidirect
146. #2559C22semidirect
148. #2553C22semidirect
149. #2552C22semidirect
150. #2543C22semidirect
158. #2537C22semidirect
159. #2535C22semidirect
160. #2535C22semidirect
161. #2518C22semidirect
164. #2510C22semidirect
165. #2508C22semidirect
166. #2506C22semidirect
168. #2501C22semidirect
169. #2500C22semidirect
172. #2494C22semidirect
173. #2494C22semidirect
174. #2494C22semidirect
175. #2493C22semidirect
179. #2490C22semidirect
181. #2486C22semidirect
183. #2475C22semidirect
184. #2471C22semidirect
185. #2467C22semidirect
186. #2464C22semidirect
187. #2464C22semidirect
188. #2457C22semidirect
190. #2456C22semidirect
192. #2454C22semidirect
193. #2454C22semidirect
195. #2444C22semidirect
196. #2443C22semidirect
197. #2443C22semidirect
202. #2430C22semidirect
210. #2428C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2425C22semidirect
218. #2422C22semidirect
221. #2420C22semidirect
222. #2420C22semidirect
225. #2416C22semidirect
226. #2416C22semidirect
227. #2416C22semidirect
228. #2414C22semidirect
232. #2396C22semidirect
234. #2388C22semidirect
236. #2364C22semidirect
239. #2361C22semidirect
240. #2354C22semidirect
241. #2349C22semidirect
243. #2345C22semidirect
245. #2330C22semidirect
247. #2322C22semidirect
249. #2319C22semidirect
251. C4×#123C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
256. #2290C22semidirect
257. #2283C22semidirect
258. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#594012
#583352
#580752
#571282
#557112
#557022
#549202
#529802
#529662
#522032
#519012
#474572
#454872
#453802
#450122
#429862
#425892
#424252
#411422
#394342
#394022
#391342
#389422
#377062
#375152
#373322
#359412
#355492