Finite Group Databasebeta

← #7986728

Subgroups — #7986728

Order 512.

4654 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59894C212yesmaximal, complemented
2#59435C211yesmaximal, characteristic, complemented
3#59276C212yesmaximal, complemented
4#59065C211yesmaximal, characteristic, complemented
5#59034C211yesmaximal, characteristic, complemented
6#51570C214yesmaximal, complemented
7#51252C214yesmaximal, complemented
8#46117C212yesmaximal, complemented
9#45515C212yesmaximal, complemented
10#45180C212yesmaximal, complemented
11#45161C212yesmaximal, complemented
12#44736C214yesmaximal, complemented
13#42725C212yesmaximal, complemented
14#42674C212yesmaximal, complemented
15#41705C214yesmaximal, complemented
16#40225C212yesmaximal, complemented
17#40079C212yesmaximal, complemented
18#39727C211yesmaximal, characteristic, complemented
19#39481C212yesmaximal, complemented
20#39216C212yesmaximal, complemented
21#38920C211yesmaximal, characteristic, complemented
22#38218C212yesmaximal, complemented
23#36481C211yesmaximal, characteristic, complemented
24#36406C211yesmaximal, characteristic, complemented
25#36313C211yesmaximal, characteristic, complemented
26#36209C212yesmaximal, complemented
27#36186C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#35201C211yesmaximal, characteristic, complemented
30#35173C211yesmaximal, characteristic, complemented
31#35036C212yesmaximal, complemented
32#34941C211yesmaximal, characteristic, complemented
33#34919C211yesmaximal, characteristic, complemented
34#34482C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#552C2212yes—
39C2×#547C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#529C2211yescharacteristic
44#2863C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2861C2212yes—
48#2859C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2212yes—
52#2857C2212yes—
53#2857C2212yes—
54#2854C2212yes—
55#2838C2214yes—
56#2813C2214yes—
57#2807C2214yes—
58#2803C2214yes—
59#2801C2214yes—
60#2800C2214yes—
61#2791C2214yes—
62#2778C2214yes—
63#2777C2214yes—
64#2777C2214yes—
65#2776C2214yes—
66#2775C2214yes—
67#2775C2214yes—
68#2774C2214yes—
69#2773C2214yes—
70#2773C2214yes—
71#2770C2214yes—
72#2768C2214yes—
73#2758C2214yes—
74#2757C2214yes—
75#2756C2214yes—
76#2741C2214yes—
77#2741C2214yes—
78#2738C2214yes—
79#2737C2214yes—
80#2727C2214yes—
81#2725C2214yes—
82#2725C2214yes—
83#2723C2214yes—
84#2718C2214yes—
85#2707C2214yes—
86#2706C2214yes—
87#2705C2214yes—
88#2702C2214yes—
89#2696C2214yes—
90#2663C2214yes—
91#2659C2214yes—
92#2654C2214yes—
93#2651C2214yes—
94#2649C2214yes—
95#2630C2214yes—
96#2624C2212yes—
97#2624C2214yes—
98#2620C2212yes—
99#2610C2214yes—
100#2606C2214yes—
101#2604C2214yes—
102#2604C2214yes—
103#2601C2214yes—
104#2593C2214yes—
105#2592C2212yes—
106#2587C2214yes—
107#2587C2214yes—
108#2584C2212yes—
109#2584C2214yes—
110#2584C2212yes—
111#2582C2212yes—
112#2578C2214yes—
113#2574C2214yes—
114#2574C2214yes—
115#2571C2212yes—
116#2568C2211yescharacteristic
117#2567C2212yes—
118#2567C2211yescharacteristic
119#2567C2211yescharacteristic
120#2563C2211yescharacteristic
121#2563C2211yescharacteristic
122#2560C2212yes—
123#2558C2212yes—
124#2553C2214yes—
125#2553C2214yes—
126#2552C2211yescharacteristic
127#2550C2211yescharacteristic
128#2546C2211yescharacteristic
129#2546C2212yes—
130#2546C2211yescharacteristic
131#2545C2211yescharacteristic
132#2542C2212yes—
133#2542C2211yescharacteristic
134#2540C2211yescharacteristic
135#2538C2211yescharacteristic
136#2536C2212yes—
137#2536C2212yes—
138#2536C2211yescharacteristic
139#2536C2212yes—
140#2531C2214yes—
141#2528C2214yes—
142#2524C2214yes—
143#2522C2214yes—
144#2522C2214yes—
145#2521C2214yes—
146#2519C2214yes—
147#2519C2212yes—
148#2518C2214yes—
149#2518C2214yes—
150#2514C2212yes—
151#2514C2212yes—
152#2513C2214yes—
153#2512C2212yes—
154#2512C2212yes—
155#2508C2214yes—
156#2508C2214yes—
157#2508C2212yes—
158#2507C2214yes—
159#2507C2212yes—
160#2506C2212yes—
161#2500C2212yes—
162#2499C2212yes—
163#2499C2212yes—
164#2498C2214yes—
165#2497C2212yes—
166#2496C2212yes—
167#2495C2212yes—
168#2495C2214yes—
169#2495C2214yes—
170#2491C2211yescharacteristic
171#2490C2212yes—
172#2489C2212yes—
173#2489C2212yes—
174#2489C2212yes—
175#2489C2212yes—
176#2489C2212yes—
177#2489C2211yescharacteristic
178#2487C2212yes—
179#2485C2214yes—
180#2485C2214yes—
181#2469C2214yes—
182#2467C2214yes—
183#2461C2212yes—
184#2458C2214yes—
185#2454C2212yes—
186#2453C2212yes—
187#2453C2212yes—
188#2453C2212yes—
189#2448C2212yes—
190#2448C2212yes—
191#2446C2212yes—
192#2442C2212yes—
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2439C2212yes—
197#2432C2212yes—
198#2432C2212yes—
199#2429C2212yes—
200#2429C2211yescharacteristic
201#2429C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2426C2211yescharacteristic
205#2426C2212yes—
206#2423C2212yes—
207#2423C2212yes—
208#2421C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2417C2212yes—
213#2415C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2396C2212yes—
224#2396C2214yes—
225#2392C2212yes—
226#2382C2214yes—
227#2376C2214yes—
228#2374C2212yes—
229#2373C2212yes—
230#2373C2214yes—
231#2370C2211yescharacteristic
232#2370C2212yes—
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2364C2212yes—
237#2363C2211yescharacteristic
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2361C2211yescharacteristic
242#2360C2212yes—
243#2360C2212yes—
244#2357C2211yescharacteristic
245#2356C2212yes—
246#2356C2212yes—
247#2354C2211yescharacteristic
248#2354C2212yes—
249#2353C2212yes—
250#2352C2211yescharacteristic
251#2352C2212yes—
252#2351C2212yes—
253#2351C2212yes—
254Q8×C4⋊C4C2211yescharacteristic
255#2347C2211yescharacteristic
256#2347C2212yes—
257#2346C2212yes—
258#2346C2214yes—
259#2346C2214yes—
260#2345C2211yescharacteristic
261#2341C2212yes—
262#2335C2214yes—
263#2334C2214yes—
264#2334C2214yes—
265#2330C2214yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2317C2212yes—
270#2316C2212yes—
271#2316C2212yes—
272#2314C2214yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×#124C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287#2297C2212yes—
288#2295C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2285C2212yes—
292#2285C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#556—44no—
301#553—28no—
302#552—216no—
303#547—44no—
304#533—44no—
305#533—44no—
306#533—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314#529—44no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117C2314yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2312yes—
400C22×C42C2312yes—
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2312yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2314yes—
522#390C2311yescharacteristic
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2314yes—
701#384C2312yes—
702#384C2312yes—
703#383C2312yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2314yes—
715#382C2314yes—
716#382C2314yes—
717#382C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#381C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811#376C2314yes—
812#376C2314yes—
813#376C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—42no—
855#126—216no—
856#126—28no—
857#126—48no—
858#126—44no—
859#126—48no—
860#125—216no—
861#125—28no—
862#125—24no—
863#125—42no—
864#125—44no—
865#125—44no—
866#125—44no—
867#124—44no—
868#124—42no—
869#124—42no—
870#124—44no—
871#123—216no—
872#123—28no—
873#123—48no—
874#123—44no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—44no—
879C22⋊Q8—42no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—42no—
883C22⋊Q8—42no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—42no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891#121—28no—
892#121—24no—
893#121—24no—
894#121—42no—
895#121—42no—
896#121—44no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—42no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—42no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—44no—
924#117—216no—
925#117—28no—
926#117—24no—
927#117—24no—
928#117—48no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—44no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4#4118yescomplemented
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42—44no—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2511yescharacteristic
1181#41—816no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4C2×#4114yes—
1262C22×C4C2×#4118yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4114yes—
1366C4⋊C4C2×#4118yes—
1367C4⋊C42−1+414yes—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C42—28no—
1422C42—24no—
1423C42—28no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—28no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—42no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—42no—
1459C42H(5,𝔽2)14yes—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23C22×#4112yes—
1488C23C2611yescharacteristic
1489Q8—48no—
1490Q8—48no—
1491Q8—44no—
1492Q8—44no—
1493Q8—48no—
1494Q8—84no—
1495D4—44no—
1496D4—48no—
1497D4—44no—
1498D4—44no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—88no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—28no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—82no—
1595C2×C4—82no—
1596C2×C4—88no—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×2−1+414yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C2×C4#58512yes—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22C23×#4111yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C222−1+611yescharacteristic
1644C4—24no—
1645C4—24no—
1646C4—22no—
1647C4—24no—
1648C4—22no—
1649C4—22no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—44no—
1661C4—41no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—44no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—44no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4#351114yes—
1674C4#355114yes—
1675C2—42no—
1676C2—82no—
1677C2—81no—
1678C2—82no—
1679C2C2×#355111yescharacteristic
1680C2#6279311yescharacteristic
1681C2C2×#351111yescharacteristic
1682C2#6292511yescharacteristic
1683C2#6295311yescharacteristic
1684C2#6299111yescharacteristic
1685C2#6302311yescharacteristic
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. #59894C2semidirect
2. #59435C2semidirect
3. #59276C2semidirect
4. #59065C2semidirect
5. #59034C2semidirect
6. #51570C2semidirect
7. #51252C2semidirect
8. #46117C2semidirect
9. #45515C2semidirect
10. #45180C2semidirect
11. #45161C2semidirect
12. #44736C2semidirect
13. #42725C2semidirect
14. #42674C2semidirect
15. #41705C2semidirect
16. #40225C2semidirect
17. #40079C2semidirect
18. #39727C2semidirect
19. #39481C2semidirect
20. #39216C2semidirect
21. #38920C2semidirect
22. #38218C2semidirect
23. #36481C2semidirect
24. #36406C2semidirect
25. #36313C2semidirect
26. #36209C2semidirect
27. #36186C2semidirect
28. #36151C2semidirect
29. #35201C2semidirect
30. #35173C2semidirect
31. #35036C2semidirect
32. #34941C2semidirect
33. #34919C2semidirect
34. #34482C2semidirect
35. C4×#553C2semidirect
936. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#598942
#594352
#592762
#590652
#590342
#515702
#512522
#461172
#455152
#451802
#451612
#447362
#427252
#426742
#417052
#402252
#400792
#397272
#394812
#392162
#389202
#382182
#364812
#364062
#363132
#362092
#361862
#361512
#352012
#351732
#350362
#349412
#349192
#344822
C4×#5532