Finite Group Databasebeta

← #8750833

Subgroups — #8750833

Order 512.

4873 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59843C211yesmaximal, characteristic, complemented
2#59841C212yesmaximal, complemented
3#58171C214yesmaximal, complemented
4#57137C214yesmaximal, complemented
5#56586C212yesmaximal, complemented
6#56494C214yesmaximal, complemented
7#55709C214yesmaximal, complemented
8#53015C211yesmaximal, characteristic, complemented
9#52957C212yesmaximal, complemented
10#52693C212yesmaximal, complemented
11#52494C214yesmaximal, complemented
12#47806C212yesmaximal, complemented
13#45251C211yesmaximal, characteristic, complemented
14#45105C212yesmaximal, complemented
15#45085C212yesmaximal, complemented
16#45043C212yesmaximal, complemented
17#45042C212yesmaximal, complemented
18#42971C212yesmaximal, complemented
19#42963C211yesmaximal, characteristic, complemented
20#42923C212yesmaximal, complemented
21#42583C212yesmaximal, complemented
22#42581C212yesmaximal, complemented
23#42554C212yesmaximal, complemented
24#41994C214yesmaximal, complemented
25#39505C212yesmaximal, complemented
26#39489C211yesmaximal, characteristic, complemented
27#36694C211yesmaximal, characteristic, complemented
28#35756C211yesmaximal, characteristic, complemented
29#35752C212yesmaximal, complemented
30C2×#555C2211yescharacteristic
31C2×#555C2214yescomplemented
32C2×#554C2211yescharacteristic, complemented
33C2×#553C2212yes—
34C2×#551C2212yes—
35C2×#535C2211yescharacteristic
36C2×#520C2211yescharacteristic, complemented
37#2868C2211yescharacteristic, complemented
38#2844C2211yescharacteristic, complemented
39#2840C2212yes—
40#2837C2214yescomplemented
41#2832C2212yes—
42#2832C2211yescharacteristic, complemented
43#2832C2212yescomplemented
44#2832C2214yescomplemented
45#2832C2211yescharacteristic, complemented
46#2830C2214yescomplemented
47#2828C2212yes—
48#2828C2212yes—
49#2828C2212yescomplemented
50#2828C2214yescomplemented
51#2825C2214yes—
52#2824C2214yescomplemented
53#2819C2212yes—
54#2819C2212yes—
55#2819C2214yes—
56#2819C2212yes—
57#2819C2211yescharacteristic, complemented
58#2813C2214yescomplemented
59#2813C2214yescomplemented
60#2798C2214yes—
61#2797C2214yescomplemented
62#2795C2214yescomplemented
63#2795C2214yescomplemented
64#2793C2214yescomplemented
65#2789C2212yescomplemented
66#2785C2212yes—
67#2784C2214yescomplemented
68#2778C2214yes—
69#2770C2214yescomplemented
70#2767C2214yescomplemented
71#2760C2212yescomplemented
72#2757C2214yescomplemented
73#2753C2214yescomplemented
74#2751C2214yes—
75#2751C2214yescomplemented
76#2740C2214yes—
77#2731C2214yescomplemented
78#2731C2214yescomplemented
79#2731C2214yescomplemented
80#2730C2214yescomplemented
81#2728C2212yes—
82#2716C2214yes—
83#2715C2214yes—
84#2714C2214yes—
85#2712C2214yescomplemented
86#2709C2214yes—
87#2709C2214yescomplemented
88#2702C2214yescomplemented
89#2700C2214yescomplemented
90#2700C2214yescomplemented
91#2699C2214yescomplemented
92#2697C2212yes—
93#2697C2214yes—
94#2696C2214yes—
95#2696C2214yescomplemented
96#2686C2214yescomplemented
97#2685C2214yes—
98#2681C2214yescomplemented
99#2678C2214yes—
100#2676C2214yes—
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2675C2214yescomplemented
104#2674C2214yes—
105#2674C2214yescomplemented
106#2674C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2670C2214yes—
110#2670C2212yes—
111#2670C2214yes—
112#2669C2214yes—
113#2668C2214yes—
114#2665C2214yescomplemented
115#2662C2214yes—
116#2661C2214yes—
117#2657C2212yes—
118#2650C2214yescomplemented
119#2648C2214yes—
120#2644C2212yes—
121#2635C2214yescomplemented
122#2631C2212yes—
123#2630C2214yescomplemented
124#2620C2212yes—
125#2620C2214yescomplemented
126#2620C2214yescomplemented
127#2619C2212yes—
128#2617C2214yes—
129#2615C2212yes—
130#2615C2211yescharacteristic
131#2615C2211yescharacteristic, complemented
132#2610C2212yes—
133#2609C2212yes—
134#2609C2214yescomplemented
135#2609C2212yescomplemented
136#2607C2212yescomplemented
137#2601C2214yes—
138#2600C2214yescomplemented
139#2599C2212yescomplemented
140#2595C2214yescomplemented
141#2592C2212yes—
142#2574C2214yescomplemented
143#2567C2211yescharacteristic, complemented
144#2563C2212yes—
145#2563C2211yescharacteristic
146#2557C2214yescomplemented
147#2548C2212yes—
148#2546C2212yescomplemented
149#2544C2214yescomplemented
150#2541C2212yes—
151#2538C2212yes—
152#2538C2212yes—
153#2537C2212yes—
154#2537C2212yescomplemented
155#2534C2214yes—
156#2528C2214yescomplemented
157#2527C2214yescomplemented
158#2504C2211yescharacteristic, complemented
159#2501C2212yes—
160#2500C2212yes—
161#2500C2212yes—
162#2499C2212yescomplemented
163#2497C2212yescomplemented
164#2497C2212yescomplemented
165#2497C2212yescomplemented
166#2496C2212yes—
167#2494C2212yes—
168#2492C2214yescomplemented
169#2491C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2491C2212yes—
173#2491C2214yescomplemented
174#2491C2212yescomplemented
175#2490C2212yes—
176#2487C2212yescomplemented
177#2486C2211yescharacteristic
178#2485C2212yescomplemented
179#2481C2214yescomplemented
180#2480C2214yes—
181#2477C2214yescomplemented
182#2476C2214yescomplemented
183#2476C2214yescomplemented
184#2472C2214yes—
185#2471C2214yes—
186#2469C2214yescomplemented
187#2467C2214yescomplemented
188#2463C2214yescomplemented
189#2459C2214yes—
190#2459C2214yescomplemented
191#2459C2214yescomplemented
192#2459C2214yescomplemented
193#2459C2214yescomplemented
194#2458C2214yescomplemented
195#2457C2214yes—
196#2456C2214yes—
197#2456C2214yescomplemented
198#2452C2214yescomplemented
199#2442C2212yescomplemented
200#2441C2212yes—
201#2441C2212yescomplemented
202#2440C2212yescomplemented
203#2439C2214yescomplemented
204#2439C2212yescomplemented
205#2439C2212yescomplemented
206#2433C2211yescharacteristic
207#2428C2214yes—
208#2428C2212yes—
209#2428C2212yes—
210#2428C2212yes—
211#2427C2214yescomplemented
212#2424C2214yes—
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yescomplemented
216#2420C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2416C2214yescomplemented
220#2416C2212yescomplemented
221#2414C2212yes—
222#2414C2212yes—
223#2414C2214yescomplemented
224#2408C2212yes—
225#2408C2211yescharacteristic
226#2398C2212yes—
227#2398C2212yescomplemented
228#2398C2212yescomplemented
229#2392C2214yescomplemented
230#2392C2212yescomplemented
231#2388C2211yescharacteristic
232#2388C2212yes—
233#2388C2211yescharacteristic
234#2388C2212yescomplemented
235#2363C2212yes—
236#2363C2212yescomplemented
237#2361C2212yes—
238#2361C2212yes—
239#2361C2212yescomplemented
240#2355C2212yescomplemented
241#2354C2212yescomplemented
242#2352C2212yes—
243#2352C2212yescomplemented
244#2347C2211yescharacteristic, complemented
245#2346C2211yescharacteristic
246#2344C2212yescomplemented
247#2344C2212yescomplemented
248D4×C22⋊C4C2212yes—
249#2331C2212yescomplemented
250#2330C2212yescomplemented
251#2328C2212yes—
252#2317C2212yescomplemented
253#2314C2214yescomplemented
254#2311C2212yes—
255C4×#124C2211yescharacteristic
256C4×#124C2212yescomplemented
257#2293C2212yes—
258#2293C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2311yescharacteristic
261C23×D4C2311yescharacteristic
262#555—44no—
263#555—416no—
264#554—44no—
265#553—48no—
266#551—48no—
267#535—44no—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2314yes—
272C2×C4⋊Q8C2314yes—
273C2×#127C2312yes—
274C2×#127C2312yes—
275C2×#127C2314yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125C2312yes—
279C2×#124C2311yescharacteristic
280C2×#124C2312yes—
281C2×#124C2312yes—
282C2×#124C2314yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2312yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2311yescharacteristic
306C2×#121C2312yes—
307C2×#121C2311yescharacteristic
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#120C2312yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323#520—44no—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×#117C2314yes—
343C2×#117C2312yes—
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2314yes—
349C2×#117C2314yes—
350C2×#117C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C22⋊C4C2314yes—
356#401C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2312yes—
360#400C2312yes—
361#400C2312yes—
362#400C2314yes—
363#400C2312yes—
364#400C2312yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2312yes—
375#398C2314yes—
376#398C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2312yes—
380#397C2314yes—
381#397C2314yes—
382#397C2312yes—
383#397C2312yes—
384#397C2312yes—
385#397C2312yes—
386#397C2312yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2312yes—
392#397C2312yes—
393#397C2312yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#395C2314yes—
413#395C2312yes—
414#395C2312yes—
415#395C2311yescharacteristic
416#395C2311yescharacteristic
417#395C2314yes—
418#394C2311yescharacteristic
419#394C2312yes—
420#394C2312yes—
421#394C2312yes—
422#394C2314yes—
423#394C2312yes—
424#394C2312yes—
425#394C2314yes—
426#394C2314yes—
427#394C2312yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2312yes—
432#394C2311yescharacteristic
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2312yes—
442#394C2312yes—
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2314yes—
448#394C2312yes—
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#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#393C2314yes—
466#393C2312yes—
467#393C2314yes—
468#393C2312yes—
469#393C2311yescharacteristic
470#393C2312yes—
471#393C2314yes—
472#393C2312yes—
473#393C2312yes—
474#393C2312yes—
475#393C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2312yes—
480#393C2312yes—
481#393C2312yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2311yescharacteristic
486#393C2312yes—
487#393C2314yes—
488#393C2314yes—
489#392C2312yes—
490#392C2314yes—
491#392C2312yes—
492#392C2312yes—
493#392C2312yes—
494#392C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2312yes—
499#392C2314yes—
500#392C2312yes—
501#392C2312yes—
502#392C2314yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2311yescharacteristic
507#392C2312yes—
508#392C2312yes—
509#392C2312yes—
510#392C2311yescharacteristic
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
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#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
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#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#384C2312yes—
655#384C2312yes—
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#384C2312yes—
660#383C2312yes—
661#382C2312yes—
662#382C2314yes—
663#382C2312yes—
664#382C2312yes—
665#382C2311yescharacteristic
666#382C2312yes—
667#382C2312yes—
668#381C2314yes—
669#381C2314yes—
670#381C2312yes—
671#381C2314yes—
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2314yes—
688#379C2312yes—
689#379C2314yes—
690#379C2314yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716#376C2312yes—
717#376C2312yes—
718C43C2311yescharacteristic
719C25C2412yes—
720C2×#41—42no—
721C2×#41—44no—
722C2×#41—42no—
723C2×#41—44no—
724C22×Q8C2411yescharacteristic
725C22×Q8C2412yes—
726C22×Q8C2411yescharacteristic
727C22×Q8C2412yes—
728C22×Q8C2414yes—
729C22×Q8C2412yes—
730C22×Q8C2411yescharacteristic
731C22×D4—42no—
732C22×D4—44no—
733C22×D4C2411yescharacteristic
734C22×D4C2412yes—
735C22×D4C2411yescharacteristic
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2411yescharacteristic
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2412yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2411yescharacteristic
756C23×C4C2412yes—
757C23×C4C2411yescharacteristic
758C23×C4C2412yes—
759C23×C4C2411yescharacteristic
760C23×C4C2412yes—
761C23×C4C2414yes—
762C23×C4C2414yes—
763C23×C4C2414yes—
764C23×C4C2414yes—
765C23×C4C2412yes—
766C23×C4C2414yes—
767C4⋊Q8—44no—
768C4⋊Q8—42no—
769C4⋊Q8—42no—
770C4⋊Q8—48no—
771C4⋊Q8—84no—
772#127—44no—
773#127—44no—
774#127—84no—
775#126—48no—
776#126—48no—
777#125—28no—
778#124—24no—
779#124—28no—
780#124—44no—
781#124—48no—
782#124—44no—
783#124—48no—
784#124—44no—
785#124—48no—
786#124—84no—
787#124—84no—
788#124—84no—
789#123—48no—
790#123—44no—
791#123—48no—
792#123—84no—
793#123—84no—
794C22⋊Q8—48no—
795C22⋊Q8—48no—
796C22⋊Q8—44no—
797C22⋊Q8—84no—
798C22⋊Q8—84no—
799#121—28no—
800#121—44no—
801#121—48no—
802#121—48no—
803#121—48no—
804#121—48no—
805#121—44no—
806#121—44no—
807#121—44no—
808#121—44no—
809#121—44no—
810#121—48no—
811#121—44no—
812#121—42no—
813#121—42no—
814#121—84no—
815#121—84no—
816#121—84no—
817#121—84no—
818#120—48no—
819#120—44no—
820#120—84no—
821#120—84no—
822C4×Q8—44no—
823C4×Q8—42no—
824C4×Q8—44no—
825C4×D4—24no—
826C4×D4—48no—
827C4×D4—44no—
828C4×D4—44no—
829C4×D4—44no—
830C4×D4—44no—
831C4×D4—44no—
832C4×D4—44no—
833C4×D4—44no—
834C4×D4—44no—
835C4×D4—42no—
836C4×D4—48no—
837C4×D4—48no—
838C4×D4—48no—
839C4×D4—48no—
840#117—24no—
841#117—24no—
842#117—216no—
843#117—28no—
844#117—44no—
845#117—48no—
846#117—48no—
847#117—44no—
848#117—44no—
849C2×C4⋊C4—28no—
850C2×C4⋊C4—44no—
851C2×C4⋊C4—42no—
852C2×C4⋊C4—44no—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C22⋊C4—48no—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2411yescharacteristic
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2411yescharacteristic
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2414yes—
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2411yescharacteristic
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2412yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2412yes—
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986#95C2411yescharacteristic
987#95C2412yes—
988#95C2414yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2411yescharacteristic
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2412yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2411yescharacteristic
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2411yescharacteristic
1012#95C2412yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041C24—42no—
1042C24—44no—
1043C24—42no—
1044C24—44no—
1045C24—42no—
1046C24C2511yescharacteristic
1047C24C2514yes—
1048C24C2512yes—
1049C24C2511yescharacteristic
1050C24C2512yes—
1051C24C2512yes—
1052#41—416no—
1053#41—88no—
1054C2×Q8—22no—
1055C2×Q8—24no—
1056C2×Q8—41no—
1057C2×Q8—42no—
1058C2×Q8—41no—
1059C2×Q8—42no—
1060C2×Q8—42no—
1061C2×Q8—41no—
1062C2×Q8—41no—
1063C2×Q8—42no—
1064C2×Q8—42no—
1065C2×Q8—44no—
1066C2×Q8—42no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—44no—
1071C2×D4—22no—
1072C2×D4—24no—
1073C2×D4—22no—
1074C2×D4—28no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—41no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—44no—
1085C2×D4—41no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—44no—
1101C2×D4—42no—
1102C2×D4—44no—
1103C2×D4—42no—
1104C2×D4—44no—
1105C2×D4—41no—
1106C2×D4—42no—
1107C2×D4—44no—
1108C2×D4—41no—
1109C2×D4—44no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—42no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—88no—
1135C22×C4—24no—
1136C22×C4—22no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—22no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—28no—
1148C22×C4—28no—
1149C22×C4—42no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—42no—
1159C22×C4—44no—
1160C22×C4—42no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—42no—
1165C22×C4—44no—
1166C22×C4C2512yes—
1167C22×C4C2511yescharacteristic
1168C22×C4C2512yes—
1169C22×C4C2511yescharacteristic
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2514yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2514yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2514yes—
1180C22×C4C2512yes—
1181C22×C4C2514yes—
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C4⋊C4—24no—
1190C4⋊C4—28no—
1191C4⋊C4—28no—
1192C4⋊C4—22no—
1193C4⋊C4—28no—
1194C4⋊C4—28no—
1195C4⋊C4—22no—
1196C4⋊C4—28no—
1197C4⋊C4—24no—
1198C4⋊C4—28no—
1199C4⋊C4—24no—
1200C4⋊C4—24no—
1201C4⋊C4—24no—
1202C4⋊C4—41no—
1203C4⋊C4—44no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—41no—
1207C4⋊C4—42no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
1213C4⋊C4—44no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4H(5,𝔽2)14yes—
1231C22⋊C4—24no—
1232C22⋊C4—28no—
1233C22⋊C4—24no—
1234C22⋊C4—24no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—24no—
1238C22⋊C4—24no—
1239C22⋊C4—24no—
1240C22⋊C4—24no—
1241C22⋊C4—24no—
1242C22⋊C4—24no—
1243C22⋊C4—28no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—42no—
1247C22⋊C4—44no—
1248C22⋊C4—42no—
1249C22⋊C4—44no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—44no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—42no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
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—42no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C42—24no—
1304C42—24no—
1305C42—28no—
1306C42—24no—
1307C42—22no—
1308C42—24no—
1309C42—24no—
1310C42—24no—
1311C42—24no—
1312C42—41no—
1313C42—44no—
1314C42—44no—
1315C42—44no—
1316C42—44no—
1317C42—44no—
1318C42—44no—
1319C42—42no—
1320C42H(5,𝔽2)14yes—
1321C23—21no—
1322C23—24no—
1323C23—22no—
1324C23—22no—
1325C23—21no—
1326C23—22no—
1327C23—21no—
1328C23—21no—
1329C23—22no—
1330C23—24no—
1331C23—22no—
1332C23—22no—
1333C23—24no—
1334C23—24no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—24no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—24no—
1346C23—22no—
1347C23—24no—
1348C23—22no—
1349C23—22no—
1350C23—24no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—24no—
1355C23—21no—
1356C23—21no—
1357C23—84no—
1358C23—88no—
1359C23—164no—
1360C23—162no—
1361C23—162no—
1362C23C2611yescharacteristic
1363Q8—44no—
1364Q8—82no—
1365Q8—84no—
1366Q8—82no—
1367Q8—162no—
1368Q8—162no—
1369Q8—164no—
1370D4—44no—
1371D4—48no—
1372D4—44no—
1373D4—48no—
1374D4—82no—
1375D4—88no—
1376D4—84no—
1377D4—84no—
1378D4—84no—
1379D4—84no—
1380D4—88no—
1381D4—88no—
1382D4—88no—
1383D4—84no—
1384D4—82no—
1385D4—84no—
1386D4—164no—
1387D4—162no—
1388D4—164no—
1389D4—162no—
1390D4—164no—
1391D4—164no—
1392D4—164no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—48no—
1452C2×C4—44no—
1453C2×C4—48no—
1454C2×C4—44no—
1455C2×C4—48no—
1456C2×C4—88no—
1457C2×C4—88no—
1458C2×C4—88no—
1459C2×C4—164no—
1460C2×C4—162no—
1461C2×C4—164no—
1462C2×C4C2×H(5,𝔽2)12yes—
1463C2×C4C2×H(5,𝔽2)14yes—
1464C2×C4C2×H(5,𝔽2)14yes—
1465C2×C4C2×H(5,𝔽2)12yes—
1466C2×C4#58514yes—
1467C22—41no—
1468C22—42no—
1469C22—42no—
1470C22—41no—
1471C22—44no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—44no—
1478C22—44no—
1479C22—42no—
1480C22—42no—
1481C22—44no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—44no—
1486C22—41no—
1487C22—41no—
1488C22—42no—
1489C22—42no—
1490C22—41no—
1491C22—44no—
1492C22—42no—
1493C22—41no—
1494C22—42no—
1495C22—44no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—44no—
1501C22—44no—
1502C22—42no—
1503C22—168no—
1504C22C22×H(5,𝔽2)11yescharacteristic
1505C22C22×H(5,𝔽2)11yescharacteristic
1506C22C2×#58512yes—
1507C22H(7,𝔽2)12yes—
1508C222−1+611yescharacteristic
1509C4—22no—
1510C4—24no—
1511C4—24no—
1512C4—41no—
1513C4—42no—
1514C4—41no—
1515C4—42no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—44no—
1521C4—42no—
1522C4—42no—
1523C4—41no—
1524C4—44no—
1525C4—42no—
1526C4—44no—
1527C4—44no—
1528C4—44no—
1529C4—42no—
1530C4—42no—
1531C4#354014yes—
1532C2—81no—
1533C2—82no—
1534C2—82no—
1535C2—82no—
1536C2—84no—
1537C2—81no—
1538C2C2×#354011yescharacteristic
1539C2#6291411yescharacteristic
1540C2#6293012yes—
1541C2#6306512yes—
1542C2#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. #59843C2semidirect
2. #59841C2semidirect
3. #58171C2semidirect
4. #57137C2semidirect
5. #56586C2semidirect
6. #56494C2semidirect
7. #55709C2semidirect
8. #53015C2semidirect
9. #52957C2semidirect
10. #52693C2semidirect
11. #52494C2semidirect
12. #47806C2semidirect
13. #45251C2semidirect
14. #45105C2semidirect
15. #45085C2semidirect
16. #45043C2semidirect
17. #45042C2semidirect
18. #42971C2semidirect
19. #42963C2semidirect
20. #42923C2semidirect
21. #42583C2semidirect
22. #42581C2semidirect
23. #42554C2semidirect
24. #41994C2semidirect
25. #39505C2semidirect
26. #39489C2semidirect
27. #36694C2semidirect
28. #35756C2semidirect
29. #35752C2semidirect
31. C2×#555C22semidirect
32. C2×#554C22semidirect
36. C2×#520C22semidirect
37. #2868C22semidirect
38. #2844C22semidirect
40. #2837C22semidirect
42. #2832C22semidirect
43. #2832C22semidirect
44. #2832C22semidirect
45. #2832C22semidirect
46. #2830C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
52. #2824C22semidirect
57. #2819C22semidirect
58. #2813C22semidirect
59. #2813C22semidirect
61. #2797C22semidirect
62. #2795C22semidirect
63. #2795C22semidirect
64. #2793C22semidirect
65. #2789C22semidirect
67. #2784C22semidirect
69. #2770C22semidirect
70. #2767C22semidirect
71. #2760C22semidirect
72. #2757C22semidirect
73. #2753C22semidirect
75. #2751C22semidirect
77. #2731C22semidirect
78. #2731C22semidirect
79. #2731C22semidirect
80. #2730C22semidirect
85. #2712C22semidirect
87. #2709C22semidirect
88. #2702C22semidirect
89. #2700C22semidirect
90. #2700C22semidirect
91. #2699C22semidirect
95. #2696C22semidirect
96. #2686C22semidirect
98. #2681C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2675C22semidirect
105. #2674C22semidirect
106. #2674C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
114. #2665C22semidirect
118. #2650C22semidirect
121. #2635C22semidirect
123. #2630C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
131. #2615C22semidirect
134. #2609C22semidirect
135. #2609C22semidirect
136. #2607C22semidirect
138. #2600C22semidirect
139. #2599C22semidirect
140. #2595C22semidirect
142. #2574C22semidirect
143. #2567C22semidirect
146. #2557C22semidirect
148. #2546C22semidirect
149. #2544C22semidirect
154. #2537C22semidirect
156. #2528C22semidirect
157. #2527C22semidirect
158. #2504C22semidirect
162. #2499C22semidirect
163. #2497C22semidirect
164. #2497C22semidirect
165. #2497C22semidirect
168. #2492C22semidirect
173. #2491C22semidirect
174. #2491C22semidirect
176. #2487C22semidirect
178. #2485C22semidirect
179. #2481C22semidirect
181. #2477C22semidirect
182. #2476C22semidirect
183. #2476C22semidirect
186. #2469C22semidirect
187. #2467C22semidirect
188. #2463C22semidirect
190. #2459C22semidirect
191. #2459C22semidirect
192. #2459C22semidirect
193. #2459C22semidirect
194. #2458C22semidirect
197. #2456C22semidirect
198. #2452C22semidirect
199. #2442C22semidirect
201. #2441C22semidirect
202. #2440C22semidirect
203. #2439C22semidirect
204. #2439C22semidirect
205. #2439C22semidirect
211. #2427C22semidirect
215. #2422C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
223. #2414C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
234. #2388C22semidirect
236. #2363C22semidirect
239. #2361C22semidirect
240. #2355C22semidirect
241. #2354C22semidirect
243. #2352C22semidirect
244. #2347C22semidirect
246. #2344C22semidirect
247. #2344C22semidirect
249. #2331C22semidirect
250. #2330C22semidirect
252. #2317C22semidirect
253. #2314C22semidirect
256. C4×#124C22semidirect
258. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#598432
#598412
#581712
#571372
#565862
#564942
#557092
#530152
#529572
#526932
#524942
#478062
#452512
#451052
#450852
#450432
#450422
#429712
#429632
#429232
#425832
#425812
#425542
#419942
#395052
#394892
#366942
#357562
#357522