Finite Group Databasebeta

← #7987101

Subgroups — #7987101

Order 512.

5254 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59465C211yesmaximal, characteristic, complemented
2#59229C211yesmaximal, characteristic, complemented
3#59212C211yesmaximal, characteristic, complemented
4#59115C212yesmaximal, complemented
5#59110C212yesmaximal, complemented
6#51566C214yesmaximal, complemented
7#50822C214yesmaximal, complemented
8#46062C212yesmaximal, complemented
9#45514C212yesmaximal, complemented
10#45286C212yesmaximal, complemented
11#45159C212yesmaximal, complemented
12#43180C214yesmaximal, complemented
13#42611C212yesmaximal, complemented
14#42476C212yesmaximal, complemented
15#41036C214yesmaximal, complemented
16#40177C212yesmaximal, complemented
17#40077C212yesmaximal, complemented
18#39735C211yesmaximal, characteristic, complemented
19#39469C212yesmaximal, complemented
20#39213C212yesmaximal, complemented
21#38942C211yesmaximal, characteristic, complemented
22#37756C212yesmaximal, complemented
23#36472C211yesmaximal, characteristic, complemented
24#36407C211yesmaximal, characteristic, complemented
25#36290C211yesmaximal, characteristic, complemented
26#36211C211yesmaximal, characteristic, complemented
27#36149C212yesmaximal, complemented
28#36126C211yesmaximal, characteristic, complemented
29#35192C211yesmaximal, characteristic, complemented
30#35167C211yesmaximal, characteristic, complemented
31#35037C212yesmaximal, complemented
32#34925C211yesmaximal, characteristic, complemented
33#34917C211yesmaximal, characteristic, complemented
34#34460C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#553C2211yescharacteristic
38C2×#553C2212yes—
39C2×#547C2212yes—
40C2×#544C2212yes—
41C2×#532C2212yes—
42C2×#532C2212yes—
43C2×#532C2212yes—
44#2864C2212yes—
45#2862C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2857C2212yes—
49#2857C2212yes—
50#2857C2212yes—
51#2856C2211yescharacteristic
52#2856C2211yescharacteristic
53#2854C2212yes—
54#2851C2212yes—
55#2832C2214yes—
56#2813C2214yes—
57#2800C2214yes—
58#2798C2214yes—
59#2787C2214yes—
60#2784C2214yes—
61#2779C2214yes—
62#2778C2214yes—
63#2759C2214yes—
64#2757C2214yes—
65#2756C2214yes—
66#2753C2214yes—
67#2745C2214yes—
68#2740C2214yes—
69#2731C2214yes—
70#2730C2214yes—
71#2716C2214yes—
72#2715C2214yes—
73#2712C2214yes—
74#2712C2214yes—
75#2711C2214yes—
76#2710C2214yes—
77#2707C2214yes—
78#2705C2214yes—
79#2703C2214yes—
80#2702C2214yes—
81#2699C2214yes—
82#2696C2214yes—
83#2687C2214yes—
84#2686C2214yes—
85#2686C2214yes—
86#2682C2214yes—
87#2681C2214yes—
88#2676C2214yes—
89#2676C2214yes—
90#2665C2214yes—
91#2659C2214yes—
92#2653C2214yes—
93#2653C2214yes—
94#2641C2212yes—
95#2630C2214yes—
96#2630C2214yes—
97#2619C2212yes—
98#2615C2214yes—
99#2605C2214yes—
100#2603C2214yes—
101#2595C2214yes—
102#2594C2214yes—
103#2578C2212yes—
104#2576C2212yes—
105#2574C2214yes—
106#2571C2211yescharacteristic
107#2571C2211yescharacteristic
108#2570C2211yescharacteristic
109#2566C2211yescharacteristic
110#2564C2214yes—
111#2563C2212yes—
112#2563C2212yes—
113#2562C2211yescharacteristic
114#2560C2214yes—
115#2556C2214yes—
116#2555C2214yes—
117#2552C2211yescharacteristic
118#2552C2211yescharacteristic
119#2552C2212yes—
120#2551C2211yescharacteristic
121#2551C2211yescharacteristic
122#2551C2211yescharacteristic
123#2551C2212yes—
124#2550C2212yes—
125#2550C2214yes—
126#2550C2212yes—
127#2547C2212yes—
128#2541C2211yescharacteristic
129#2541C2211yescharacteristic
130#2537C2212yes—
131#2537C2211yescharacteristic
132#2535C2211yescharacteristic
133#2535C2212yes—
134#2535C2212yes—
135#2535C2212yes—
136#2515C2212yes—
137#2513C2212yes—
138#2513C2212yes—
139#2513C2212yes—
140#2509C2212yes—
141#2507C2212yes—
142#2505C2214yes—
143#2504C2212yes—
144#2500C2212yes—
145#2500C2212yes—
146#2497C2211yescharacteristic
147#2494C2212yes—
148#2494C2212yes—
149#2494C2211yescharacteristic
150#2491C2212yes—
151#2491C2212yes—
152#2491C2212yes—
153#2491C2214yes—
154#2491C2212yes—
155#2490C2212yes—
156#2490C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2485C2214yes—
160#2485C2212yes—
161#2485C2212yes—
162#2474C2214yes—
163#2474C2214yes—
164#2473C2214yes—
165#2466C2214yes—
166#2464C2214yes—
167#2463C2214yes—
168#2461C2214yes—
169#2461C2214yes—
170#2460C2214yes—
171#2460C2214yes—
172#2457C2212yes—
173#2454C2212yes—
174#2454C2212yes—
175#2454C2212yes—
176#2452C2212yes—
177#2452C2212yes—
178#2452C2212yes—
179#2452C2212yes—
180#2447C2214yes—
181#2447C2214yes—
182#2445C2212yes—
183#2445C2212yes—
184#2443C2214yes—
185#2442C2212yes—
186#2442C2212yes—
187#2441C2212yes—
188#2439C2212yes—
189#2439C2212yes—
190#2439C2212yes—
191#2439C2212yes—
192#2439C2212yes—
193#2439C2212yes—
194#2432C2214yes—
195#2430C2214yes—
196#2430C2214yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2427C2214yes—
202#2427C2214yes—
203#2425C2214yes—
204#2422C2212yes—
205#2422C2211yescharacteristic
206#2422C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2420C2211yescharacteristic
210#2420C2212yes—
211#2420C2212yes—
212#2416C2212yes—
213#2416C2214yes—
214#2416C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2407C2214yes—
222#2407C2214yes—
223#2401C2212yes—
224#2392C2212yes—
225#2388C2214yes—
226#2378C2214yes—
227#2376C2214yes—
228#2374C2212yes—
229#2373C2212yes—
230#2370C2212yes—
231#2370C2211yescharacteristic
232#2369C2212yes—
233#2366C2211yescharacteristic
234#2366C2211yescharacteristic
235#2364C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2363C2211yescharacteristic
240#2361C2212yes—
241#2361C2212yes—
242#2361C2211yescharacteristic
243#2359C2214yes—
244#2357C2212yes—
245#2357C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2353C2212yes—
249#2352C2212yes—
250#2352C2211yescharacteristic
251#2349C2212yes—
252#2349C2212yes—
253#2349C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257#2347C2211yescharacteristic
258#2345C2211yescharacteristic
259#2344C2212yes—
260#2339C2214yes—
261#2339C2214yes—
262#2335C2214yes—
263#2332C2214yes—
264#2331C2212yes—
265#2331C2212yes—
266#2329C2214yes—
267#2324C2212yes—
268#2322C2214yes—
269#2319C2212yes—
270#2316C2212yes—
271#2311C2214yes—
272C4×#127C2212yes—
273C4×#127C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#126C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286#2296C2212yes—
287C2×#389C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2314yes—
300C22×#41C2314yes—
301#555—48no—
302#553—28no—
303#553—48no—
304#547—216no—
305#544—48no—
306#532—48no—
307#532—48no—
308#532—48no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2314yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411C22×C42C2312yes—
412C22×C42C2312yes—
413#401C2312yes—
414#401C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2312yes—
448#396C2312yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#392C2314yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#390C2314yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#383C2312yes—
702#383C2312yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#381C2314yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—216no—
819C2×#41—48no—
820C2×#41—48no—
821C2×#41—48no—
822C2×#41—48no—
823C2×#41—84no—
824C22×Q8C2414yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—48no—
870#127—28no—
871#127—24no—
872#127—44no—
873#126—28no—
874#126—48no—
875#125—24no—
876#125—28no—
877#125—42no—
878#125—44no—
879#125—48no—
880#125—82no—
881#124—48no—
882#124—48no—
883#124—48no—
884#124—48no—
885#124—48no—
886#123—216no—
887#123—216no—
888#123—28no—
889#123—48no—
890#123—44no—
891#123—84no—
892C22⋊Q8—216no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—84no—
897#121—24no—
898#121—28no—
899#121—24no—
900#121—28no—
901#121—28no—
902#121—24no—
903#121—28no—
904#121—24no—
905#121—28no—
906#121—48no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—48no—
917#121—82no—
918#121—84no—
919#121—82no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—42no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—48no—
947C4×D4—48no—
948C4×D4—84no—
949#117—24no—
950#117—24no—
951#117—44no—
952#117—48no—
953#117—44no—
954#117—44no—
955#117—44no—
956#117—44no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—84no—
961C2×C4⋊C4#4118yescomplemented
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C42—24no—
1088C2×C42—24no—
1089C2×C42—44no—
1090C2×C42—44no—
1091C2×C42—44no—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24C2511yescharacteristic
1192C24C2514yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196#41—832no—
1197#41—832no—
1198C2×Q8—28no—
1199C2×Q8—28no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—41no—
1232C2×D4—42no—
1233C2×D4—41no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4H(5,𝔽2)14yes—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—28no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—28no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—44no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4C2×#4114yes—
1314C22×C4C2×#4118yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—28no—
1364C4⋊C4—28no—
1365C4⋊C4—28no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—41no—
1385C4⋊C4—42no—
1386C4⋊C4—41no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4C2×#4114yes—
1404C4⋊C4C2×#4114yes—
1405C4⋊C4C2×#4118yes—
1406C4⋊C4H(5,𝔽2)14yes—
1407C22⋊C4—22no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—22no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42—42no—
1495C42—44no—
1496C42—44no—
1497C42—44no—
1498C42—44no—
1499C42—42no—
1500C42—42no—
1501C42—41no—
1502C422−1+414yes—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—24no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—24no—
1520C23—22no—
1521C23—21no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—24no—
1527C23—21no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—24no—
1535C23—21no—
1536C23C22×#4112yes—
1537C23C2×H(5,𝔽2)14yes—
1538C23C2611yescharacteristic
1539Q8—88no—
1540Q8—88no—
1541Q8—164no—
1542D4—28no—
1543D4—416no—
1544D4—416no—
1545D4—48no—
1546D4—44no—
1547D4—48no—
1548D4—44no—
1549D4—48no—
1550D4—48no—
1551D4—84no—
1552D4—84no—
1553D4—84no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—88no—
1558D4—164no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—28no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—416no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—82no—
1650C2×C4—82no—
1651C2×C4—88no—
1652C2×C4—88no—
1653C2×C4—84no—
1654C2×C4—164no—
1655C2×C4—164no—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4112yes—
1660C2×C4C2×H(5,𝔽2)14yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C22—24no—
1669C22—22no—
1670C22—24no—
1671C22—24no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—42no—
1682C22—44no—
1683C22—42no—
1684C22—41no—
1685C22—41no—
1686C22—42no—
1687C22—44no—
1688C22—42no—
1689C22—44no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—44no—
1694C22—41no—
1695C22—44no—
1696C22—42no—
1697C22—44no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—44no—
1702C22—42no—
1703C22C23×#4111yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×2−1+411yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22H(7,𝔽2)11yescharacteristic
1710C4—24no—
1711C4—24no—
1712C4—22no—
1713C4—24no—
1714C4—22no—
1715C4—22no—
1716C4—44no—
1717C4—41no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—44no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—44no—
1736C4—41no—
1737C4—41no—
1738C4#351114yes—
1739C4#355914yes—
1740C2—44no—
1741C2—42no—
1742C2—84no—
1743C2—82no—
1744C2—81no—
1745C2C2×#355911yescharacteristic
1746C2#6279311yescharacteristic
1747C2C2×#351111yescharacteristic
1748C2#6292311yescharacteristic
1749C2#6292911yescharacteristic
1750C2#6298311yescharacteristic
1751C2#6301211yescharacteristic
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. #59465C2semidirect
2. #59229C2semidirect
3. #59212C2semidirect
4. #59115C2semidirect
5. #59110C2semidirect
6. #51566C2semidirect
7. #50822C2semidirect
8. #46062C2semidirect
9. #45514C2semidirect
10. #45286C2semidirect
11. #45159C2semidirect
12. #43180C2semidirect
13. #42611C2semidirect
14. #42476C2semidirect
15. #41036C2semidirect
16. #40177C2semidirect
17. #40077C2semidirect
18. #39735C2semidirect
19. #39469C2semidirect
20. #39213C2semidirect
21. #38942C2semidirect
22. #37756C2semidirect
23. #36472C2semidirect
24. #36407C2semidirect
25. #36290C2semidirect
26. #36211C2semidirect
27. #36149C2semidirect
28. #36126C2semidirect
29. #35192C2semidirect
30. #35167C2semidirect
31. #35037C2semidirect
32. #34925C2semidirect
33. #34917C2semidirect
34. #34460C2semidirect
35. C4×#553C2semidirect
961. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#594652
#592292
#592122
#591152
#591102
#515662
#508222
#460622
#455142
#452862
#451592
#431802
#426112
#424762
#410362
#401772
#400772
#397352
#394692
#392132
#389422
#377562
#364722
#364072
#362902
#362112
#361492
#361262
#351922
#351672
#350372
#349252
#349172
#344602
C4×#5532