Finite Group Databasebeta

← #8750936

Subgroups — #8750936

Order 512.

5188 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59628C211yesmaximal, characteristic, complemented
2#59124C212yesmaximal, complemented
3#57865C214yesmaximal, complemented
4#57187C214yesmaximal, complemented
5#56545C212yesmaximal, complemented
6#56436C214yesmaximal, complemented
7#55222C214yesmaximal, complemented
8#53106C212yesmaximal, complemented
9#52969C211yesmaximal, characteristic, complemented
10#52530C212yesmaximal, complemented
11#52402C214yesmaximal, complemented
12#47002C212yesmaximal, complemented
13#45380C211yesmaximal, characteristic, complemented
14#45379C212yesmaximal, complemented
15#45038C212yesmaximal, complemented
16#45013C212yesmaximal, complemented
17#44931C212yesmaximal, complemented
18#42595C212yesmaximal, complemented
19#42575C212yesmaximal, complemented
20#42529C212yesmaximal, complemented
21#42523C212yesmaximal, complemented
22#42483C211yesmaximal, characteristic, complemented
23#41404C212yesmaximal, complemented
24#40602C214yesmaximal, complemented
25#39536C212yesmaximal, complemented
26#39464C211yesmaximal, characteristic, complemented
27#36679C211yesmaximal, characteristic, complemented
28#35976C211yesmaximal, characteristic, complemented
29#35704C212yesmaximal, complemented
30C2×#559C2212yes—
31C2×#550C2212yes—
32C2×#550C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic
34C2×#546C2214yes—
35C22×#127C2211yescharacteristic
36C2×#520C2211yescharacteristic, complemented
37#2855C2211yescharacteristic
38#2841C2211yescharacteristic
39#2839C2212yescomplemented
40#2838C2212yescomplemented
41#2835C2211yescharacteristic
42#2834C2211yescharacteristic
43#2833C2212yescomplemented
44#2832C2214yescomplemented
45#2831C2212yescomplemented
46#2828C2214yescomplemented
47#2828C2212yescomplemented
48#2827C2212yes—
49#2825C2214yescomplemented
50#2824C2214yescomplemented
51#2824C2214yescomplemented
52#2819C2214yescomplemented
53#2817C2211yescharacteristic
54#2816C2214yescomplemented
55#2815C2212yescomplemented
56#2815C2214yescomplemented
57#2814C2212yes—
58#2813C2214yescomplemented
59#2812C2212yes—
60#2787C2214yescomplemented
61#2782C2214yes—
62#2781C2214yescomplemented
63#2778C2214yescomplemented
64#2778C2214yescomplemented
65#2778C2214yescomplemented
66#2761C2214yescomplemented
67#2760C2214yescomplemented
68#2760C2214yescomplemented
69#2760C2212yescomplemented
70#2753C2214yescomplemented
71#2750C2214yescomplemented
72#2749C2214yescomplemented
73#2746C2214yes—
74#2746C2214yescomplemented
75#2746C2214yescomplemented
76#2745C2214yescomplemented
77#2741C2214yescomplemented
78#2737C2214yescomplemented
79#2736C2212yes—
80#2717C2214yescomplemented
81#2712C2212yes—
82#2709C2214yes—
83#2709C2212yes—
84#2708C2214yescomplemented
85#2706C2214yescomplemented
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2699C2212yescomplemented
89#2699C2214yescomplemented
90#2697C2214yes—
91#2696C2214yescomplemented
92#2696C2214yescomplemented
93#2688C2214yescomplemented
94#2688C2214yescomplemented
95#2688C2214yescomplemented
96#2687C2214yescomplemented
97#2686C2214yescomplemented
98#2684C2214yes—
99#2684C2214yes—
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2673C2214yes—
103#2673C2214yes—
104#2673C2214yes—
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2669C2214yes—
112#2669C2214yes—
113#2668C2212yes—
114#2661C2214yescomplemented
115#2657C2211yescharacteristic, complemented
116#2653C2214yescomplemented
117#2648C2214yescomplemented
118#2640C2212yescomplemented
119#2639C2214yescomplemented
120#2638C2214yes—
121#2635C2214yescomplemented
122#2635C2214yescomplemented
123#2632C2214yescomplemented
124#2631C2214yescomplemented
125#2624C2211yescharacteristic, complemented
126#2623C2212yescomplemented
127#2622C2214yes—
128#2619C2212yescomplemented
129#2617C2212yes—
130#2615C2212yescomplemented
131#2613C2212yes—
132#2600C2212yes—
133#2600C2212yescomplemented
134#2592C2211yescharacteristic, complemented
135#2591C2214yescomplemented
136#2581C2212yescomplemented
137#2580C2212yescomplemented
138#2580C2212yescomplemented
139#2563C2212yescomplemented
140#2548C2212yes—
141#2548C2212yescomplemented
142#2544C2212yes—
143#2544C2212yescomplemented
144#2543C2214yescomplemented
145#2541C2212yes—
146#2541C2212yes—
147#2541C2212yes—
148#2541C2211yescharacteristic
149#2541C2212yescomplemented
150#2536C2214yescomplemented
151#2535C2214yescomplemented
152#2534C2214yes—
153#2517C2214yescomplemented
154#2514C2212yescomplemented
155#2513C2212yescomplemented
156#2513C2212yescomplemented
157#2508C2212yescomplemented
158#2508C2212yescomplemented
159#2504C2211yescharacteristic, complemented
160#2498C2212yescomplemented
161#2494C2212yes—
162#2493C2214yescomplemented
163#2491C2212yes—
164#2491C2212yescomplemented
165#2488C2214yescomplemented
166#2486C2211yescharacteristic
167#2483C2212yes—
168#2482C2212yes—
169#2476C2214yescomplemented
170#2476C2214yescomplemented
171#2472C2214yes—
172#2472C2214yes—
173#2464C2214yescomplemented
174#2459C2214yescomplemented
175#2458C2214yescomplemented
176#2458C2214yescomplemented
177#2458C2214yescomplemented
178#2457C2214yescomplemented
179#2456C2214yescomplemented
180#2456C2214yescomplemented
181#2456C2214yescomplemented
182#2452C2212yescomplemented
183#2452C2212yescomplemented
184#2448C2212yescomplemented
185#2447C2212yescomplemented
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2444C2214yescomplemented
194#2444C2214yescomplemented
195#2444C2214yescomplemented
196#2435C2211yescharacteristic
197#2433C2212yes—
198#2433C2212yes—
199#2431C2214yes—
200#2431C2212yes—
201#2431C2212yescomplemented
202#2430C2214yescomplemented
203#2430C2214yescomplemented
204#2430C2214yescomplemented
205#2430C2214yescomplemented
206#2428C2212yes—
207#2428C2214yes—
208#2428C2212yescomplemented
209#2428C2212yescomplemented
210#2427C2212yes—
211#2421C2212yes—
212#2420C2212yes—
213#2420C2212yescomplemented
214#2419C2214yescomplemented
215#2418C2214yes—
216#2418C2214yes—
217#2412C2214yes—
218#2410C2212yes—
219#2410C2214yes—
220#2410C2214yes—
221#2408C2211yescharacteristic
222#2408C2214yes—
223#2406C2214yescomplemented
224#2405C2212yes—
225#2404C2212yes—
226#2402C2212yescomplemented
227#2401C2212yes—
228#2401C2212yescomplemented
229#2399C2212yescomplemented
230#2398C2211yescharacteristic
231#2396C2212yescomplemented
232#2395C2211yescharacteristic
233C2×#397C2212yes—
234#2388C2214yescomplemented
235#2367C2212yescomplemented
236#2367C2212yescomplemented
237#2366C2212yes—
238#2366C2212yescomplemented
239#2365C2212yescomplemented
240#2361C2212yescomplemented
241#2361C2212yescomplemented
242#2357C2212yescomplemented
243#2349C2212yescomplemented
244#2349C2212yescomplemented
245#2339C2211yescharacteristic, complemented
246D4×C22⋊C4C2211yescharacteristic
247D4×C22⋊C4C2212yes—
248D4×C22⋊C4C2212yes—
249#2328C2212yescomplemented
250#2328C2212yescomplemented
251#2319C2212yescomplemented
252#2319C2212yescomplemented
253#2319C2211yescharacteristic, complemented
254#2318C2214yes—
255#2308C2212yes—
256C4×C22⋊Q8C2212yes—
257C4×#123C2211yescharacteristic
258C4×#121C2212yes—
259C22×#41C2311yescharacteristic
260C22×#41C2314yes—
261C22×#41C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2311yescharacteristic
265C23×D4C2312yes—
266#559—48no—
267#550—48no—
268#550—44no—
269#546—416no—
270#546—44no—
271C2×C4⋊Q8C2312yes—
272C2×#127—44no—
273C2×#127C2312yes—
274C2×#127C2312yes—
275C2×#127C2312yes—
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2314yes—
281C2×#127C2312yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#124C2311yescharacteristic
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#123C2311yescharacteristic
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×#121C2314yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2311yescharacteristic
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#120C2312yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2312yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329#520—44no—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×#117C2311yescharacteristic
351C2×#117C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2311yescharacteristic
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2314yes—
356C22×C22⋊C4C2314yes—
357C22×C22⋊C4C2312yes—
358C22×C42C2311yescharacteristic
359#401C2314yes—
360#401C2312yes—
361#401C2312yes—
362#401C2314yes—
363#400C2312yes—
364#400C2312yes—
365#400C2312yes—
366#400C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2312yes—
371#400C2312yes—
372#400C2311yescharacteristic
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#399C2312yes—
382#399C2314yes—
383#399C2312yes—
384#399C2311yescharacteristic
385#399C2314yes—
386#399C2314yes—
387#398C2312yes—
388#398C2314yes—
389#398C2312yes—
390#398C2312yes—
391#398C2312yes—
392#398C2312yes—
393#398C2311yescharacteristic
394#398C2312yes—
395#398C2312yes—
396#398C2312yes—
397#398C2312yes—
398#398C2312yes—
399#398C2312yes—
400#398C2314yes—
401#397C2312yes—
402#397C2311yescharacteristic
403#397C2311yescharacteristic
404#397C2312yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2311yescharacteristic
415#397C2312yes—
416#397C2314yes—
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#396C2314yes—
431#396C2312yes—
432#396C2312yes—
433#396C2312yes—
434#396C2312yes—
435#396C2314yes—
436#395C2312yes—
437#395C2312yes—
438#395C2312yes—
439#395C2312yes—
440#395C2314yes—
441#395C2312yes—
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#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
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#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#393C2311yescharacteristic
491#393C2311yescharacteristic
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
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#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2311yescharacteristic
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
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#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2311yescharacteristic
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#383C2314yes—
658#382C2312yes—
659#382C2312yes—
660#382C2314yes—
661#382C2312yes—
662#382C2314yes—
663#381C2314yes—
664#381C2311yescharacteristic
665#381C2312yes—
666#381C2312yes—
667#381C2314yes—
668#381C2314yes—
669#381C2312yes—
670#381C2312yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#380C2311yescharacteristic
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#379C2312yes—
687#379C2312yes—
688#379C2312yes—
689#379C2314yes—
690#379C2314yes—
691#379C2312yes—
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×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2311yescharacteristic
709C4×C22⋊C4C2311yescharacteristic
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714#376C2311yescharacteristic
715#376C2312yes—
716C2×#95C2314yes—
717C2×#95C2312yes—
718C2×#95C2314yes—
719C25C2412yes—
720C25C2412yes—
721C2×#41—24no—
722C2×#41—44no—
723C2×#41—48no—
724C2×#41—44no—
725C2×#41—48no—
726C2×#41—84no—
727C2×#41—84no—
728C22×Q8C2411yescharacteristic
729C22×Q8C2412yes—
730C22×Q8C2414yes—
731C22×Q8C2411yescharacteristic
732C22×D4—24no—
733C22×D4—28no—
734C22×D4—42no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—82no—
740C22×D4—84no—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2411yescharacteristic
744C22×D4C2414yes—
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2411yescharacteristic
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2412yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C4⋊Q8—44no—
783#127—28no—
784#127—28no—
785#127—44no—
786#127—44no—
787#127—44no—
788#127—44no—
789#127—42no—
790#127—48no—
791#127—44no—
792#124—48no—
793#124—44no—
794#124—44no—
795#124—48no—
796#124—42no—
797#124—48no—
798#123—24no—
799#123—44no—
800#123—48no—
801#123—44no—
802#123—48no—
803#123—48no—
804#123—84no—
805#123—84no—
806#123—84no—
807#123—84no—
808C22⋊Q8—28no—
809C22⋊Q8—42no—
810C22⋊Q8—84no—
811C22⋊Q8—84no—
812#121—48no—
813#121—48no—
814#121—48no—
815#121—48no—
816#121—48no—
817#121—44no—
818#121—44no—
819#121—44no—
820#121—42no—
821#121—48no—
822#121—44no—
823#121—44no—
824#121—48no—
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#120—48no—
834#120—48no—
835#120—44no—
836#120—82no—
837#120—84no—
838#120—84no—
839C4×Q8—44no—
840C4×Q8—42no—
841C4×Q8—48no—
842C4×Q8—44no—
843C4×D4—28no—
844C4×D4—24no—
845C4×D4—216no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—48no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—42no—
855C4×D4—48no—
856C4×D4—48no—
857C4×D4—84no—
858C4×D4—84no—
859#117—42no—
860#117—44no—
861C2×C4⋊C4—42no—
862C2×C4⋊C4—44no—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C22⋊C4—48no—
905C2×C22⋊C4—48no—
906C2×C22⋊C4—44no—
907C2×C22⋊C4—82no—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2411yescharacteristic
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2411yescharacteristic
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C42—42no—
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2414yes—
979C2×C42C2411yescharacteristic
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989#95C2411yescharacteristic
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2411yescharacteristic
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2411yescharacteristic
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050C24—24no—
1051C24—24no—
1052C24—24no—
1053C24—42no—
1054C24—42no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24—42no—
1060C24C2512yes—
1061C24C2514yes—
1062C24C2511yescharacteristic
1063C24C2514yes—
1064C24C2511yescharacteristic
1065C24C2512yes—
1066#41—416no—
1067#41—832no—
1068#41—816no—
1069C2×Q8—22no—
1070C2×Q8—24no—
1071C2×Q8—24no—
1072C2×Q8—42no—
1073C2×Q8—41no—
1074C2×Q8—42no—
1075C2×Q8—42no—
1076C2×Q8—44no—
1077C2×Q8—44no—
1078C2×Q8—44no—
1079C2×D4—24no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—24no—
1086C2×D4—22no—
1087C2×D4—24no—
1088C2×D4—28no—
1089C2×D4—24no—
1090C2×D4—22no—
1091C2×D4—28no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—41no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—41no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—42no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
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—44no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—42no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—88no—
1150C2×D4—816no—
1151C2×D4—88no—
1152C2×D4—816no—
1153C2×D4H(5,𝔽2)14yes—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—28no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—28no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4H(5,𝔽2)14yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—41no—
1228C4⋊C4—42no—
1229C4⋊C4—44no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—42no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—41no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C22⋊C4—28no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—28no—
1262C22⋊C4—24no—
1263C22⋊C4—22no—
1264C22⋊C4—28no—
1265C22⋊C4—24no—
1266C22⋊C4—41no—
1267C22⋊C4—42no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—42no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—42no—
1274C22⋊C4—41no—
1275C22⋊C4—42no—
1276C22⋊C4—44no—
1277C22⋊C4—42no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—41no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—42no—
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—42no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C42—24no—
1326C42—24no—
1327C42—28no—
1328C42—22no—
1329C42—24no—
1330C42—24no—
1331C42—24no—
1332C42—24no—
1333C42—42no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42—42no—
1338C23—21no—
1339C23—22no—
1340C23—24no—
1341C23—22no—
1342C23—21no—
1343C23—24no—
1344C23—22no—
1345C23—22no—
1346C23—21no—
1347C23—24no—
1348C23—22no—
1349C23—24no—
1350C23—21no—
1351C23—22no—
1352C23—24no—
1353C23—24no—
1354C23—24no—
1355C23—24no—
1356C23—24no—
1357C23—24no—
1358C23—24no—
1359C23—22no—
1360C23—24no—
1361C23—22no—
1362C23—24no—
1363C23—24no—
1364C23—21no—
1365C23—22no—
1366C23—24no—
1367C23—24no—
1368C23—24no—
1369C23—24no—
1370C23—48no—
1371C23—84no—
1372C23—84no—
1373C23—84no—
1374C23—88no—
1375C23—88no—
1376C23—84no—
1377C23—84no—
1378C23—164no—
1379C23—164no—
1380C23C2×H(5,𝔽2)12yes—
1381C23C2×H(5,𝔽2)14yes—
1382C23C2611yescharacteristic
1383Q8—48no—
1384Q8—44no—
1385Q8—44no—
1386Q8—88no—
1387D4—28no—
1388D4—416no—
1389D4—48no—
1390D4—48no—
1391D4—48no—
1392D4—44no—
1393D4—88no—
1394D4—82no—
1395D4—88no—
1396D4—84no—
1397D4—88no—
1398D4—88no—
1399D4—88no—
1400D4—88no—
1401D4—88no—
1402D4—88no—
1403D4—84no—
1404D4—88no—
1405D4—84no—
1406D4—88no—
1407D4—162no—
1408D4—164no—
1409D4—164no—
1410D4—162no—
1411D4—164no—
1412D4—164no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—44no—
1474C2×C4—48no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—88no—
1479C2×C4—84no—
1480C2×C4—88no—
1481C2×C4—88no—
1482C2×C4—88no—
1483C2×C4—164no—
1484C2×C4—164no—
1485C2×C4—162no—
1486C2×C4—164no—
1487C2×C4—164no—
1488C2×C4C2×H(5,𝔽2)14yes—
1489C2×C4C2×H(5,𝔽2)12yes—
1490C2×C4#58514yes—
1491C22—24no—
1492C22—24no—
1493C22—22no—
1494C22—24no—
1495C22—24no—
1496C22—41no—
1497C22—41no—
1498C22—44no—
1499C22—42no—
1500C22—44no—
1501C22—41no—
1502C22—42no—
1503C22—44no—
1504C22—44no—
1505C22—44no—
1506C22—44no—
1507C22—42no—
1508C22—41no—
1509C22—44no—
1510C22—44no—
1511C22—42no—
1512C22—44no—
1513C22—44no—
1514C22—44no—
1515C22—44no—
1516C22—44no—
1517C22—41no—
1518C22—42no—
1519C22—44no—
1520C22—42no—
1521C22—44no—
1522C22—44no—
1523C22—44no—
1524C22—44no—
1525C22—168no—
1526C22—168no—
1527C22C22×H(5,𝔽2)11yescharacteristic
1528C22C22×H(5,𝔽2)11yescharacteristic
1529C22C2×#58512yes—
1530C22H(7,𝔽2)12yes—
1531C22H(7,𝔽2)11yescharacteristic
1532C4—24no—
1533C4—41no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—44no—
1543C4—42no—
1544C4—42no—
1545C4—44no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—42no—
1550C4—42no—
1551C4—44no—
1552C4—44no—
1553C4—42no—
1554C4#353314yes—
1555C2—44no—
1556C2—42no—
1557C2—81no—
1558C2—84no—
1559C2—82no—
1560C2—84no—
1561C2C2×#353311yescharacteristic
1562C2#6289211yescharacteristic
1563C2#6295512yes—
1564C2#6304511yescharacteristic
1565C2#6306012yes—
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. #59628C2semidirect
2. #59124C2semidirect
3. #57865C2semidirect
4. #57187C2semidirect
5. #56545C2semidirect
6. #56436C2semidirect
7. #55222C2semidirect
8. #53106C2semidirect
9. #52969C2semidirect
10. #52530C2semidirect
11. #52402C2semidirect
12. #47002C2semidirect
13. #45380C2semidirect
14. #45379C2semidirect
15. #45038C2semidirect
16. #45013C2semidirect
17. #44931C2semidirect
18. #42595C2semidirect
19. #42575C2semidirect
20. #42529C2semidirect
21. #42523C2semidirect
22. #42483C2semidirect
23. #41404C2semidirect
24. #40602C2semidirect
25. #39536C2semidirect
26. #39464C2semidirect
27. #36679C2semidirect
28. #35976C2semidirect
29. #35704C2semidirect
32. C2×#550C22semidirect
36. C2×#520C22semidirect
39. #2839C22semidirect
40. #2838C22semidirect
43. #2833C22semidirect
44. #2832C22semidirect
45. #2831C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
49. #2825C22semidirect
50. #2824C22semidirect
51. #2824C22semidirect
52. #2819C22semidirect
54. #2816C22semidirect
55. #2815C22semidirect
56. #2815C22semidirect
58. #2813C22semidirect
60. #2787C22semidirect
62. #2781C22semidirect
63. #2778C22semidirect
64. #2778C22semidirect
65. #2778C22semidirect
66. #2761C22semidirect
67. #2760C22semidirect
68. #2760C22semidirect
69. #2760C22semidirect
70. #2753C22semidirect
71. #2750C22semidirect
72. #2749C22semidirect
74. #2746C22semidirect
75. #2746C22semidirect
76. #2745C22semidirect
77. #2741C22semidirect
78. #2737C22semidirect
80. #2717C22semidirect
84. #2708C22semidirect
85. #2706C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
88. #2699C22semidirect
89. #2699C22semidirect
91. #2696C22semidirect
92. #2696C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
95. #2688C22semidirect
96. #2687C22semidirect
97. #2686C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
114. #2661C22semidirect
115. #2657C22semidirect
116. #2653C22semidirect
117. #2648C22semidirect
118. #2640C22semidirect
119. #2639C22semidirect
121. #2635C22semidirect
122. #2635C22semidirect
123. #2632C22semidirect
124. #2631C22semidirect
125. #2624C22semidirect
126. #2623C22semidirect
128. #2619C22semidirect
130. #2615C22semidirect
133. #2600C22semidirect
134. #2592C22semidirect
135. #2591C22semidirect
136. #2581C22semidirect
137. #2580C22semidirect
138. #2580C22semidirect
139. #2563C22semidirect
141. #2548C22semidirect
143. #2544C22semidirect
144. #2543C22semidirect
149. #2541C22semidirect
150. #2536C22semidirect
151. #2535C22semidirect
153. #2517C22semidirect
154. #2514C22semidirect
155. #2513C22semidirect
156. #2513C22semidirect
157. #2508C22semidirect
158. #2508C22semidirect
159. #2504C22semidirect
160. #2498C22semidirect
162. #2493C22semidirect
164. #2491C22semidirect
165. #2488C22semidirect
169. #2476C22semidirect
170. #2476C22semidirect
173. #2464C22semidirect
174. #2459C22semidirect
175. #2458C22semidirect
176. #2458C22semidirect
177. #2458C22semidirect
178. #2457C22semidirect
179. #2456C22semidirect
180. #2456C22semidirect
181. #2456C22semidirect
182. #2452C22semidirect
183. #2452C22semidirect
184. #2448C22semidirect
185. #2447C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2444C22semidirect
194. #2444C22semidirect
195. #2444C22semidirect
201. #2431C22semidirect
202. #2430C22semidirect
203. #2430C22semidirect
204. #2430C22semidirect
205. #2430C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
213. #2420C22semidirect
214. #2419C22semidirect
223. #2406C22semidirect
226. #2402C22semidirect
228. #2401C22semidirect
229. #2399C22semidirect
231. #2396C22semidirect
234. #2388C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
238. #2366C22semidirect
239. #2365C22semidirect
240. #2361C22semidirect
241. #2361C22semidirect
242. #2357C22semidirect
243. #2349C22semidirect
244. #2349C22semidirect
245. #2339C22semidirect
249. #2328C22semidirect
250. #2328C22semidirect
251. #2319C22semidirect
252. #2319C22semidirect
253. #2319C22semidirect

Maximal subgroups

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

subgroupindex
#596282
#591242
#578652
#571872
#565452
#564362
#552222
#531062
#529692
#525302
#524022
#470022
#453802
#453792
#450382
#450132
#449312
#425952
#425752
#425292
#425232
#424832
#414042
#406022
#395362
#394642
#366792
#359762
#357042