Finite Group Databasebeta

← #7709871

Subgroups — #7709871

Order 512.

4852 conjugacy classes of subgroups.

The subgroup lattice has 1713 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59694C212yesmaximal, complemented
2#59474C212yesmaximal, complemented
3#59450C211yesmaximal, characteristic, complemented
4#59434C211yesmaximal, characteristic, complemented
5#59418C211yesmaximal, characteristic, complemented
6#59418C211yesmaximal, characteristic, complemented
7#45913C214yesmaximal, complemented
8#45617C212yesmaximal, complemented
9#45616C212yesmaximal, complemented
10#40341C214yesmaximal, complemented
11#40223C212yesmaximal, complemented
12#40221C212yesmaximal, complemented
13#39923C214yesmaximal, complemented
14#39914C212yesmaximal, complemented
15#39889C212yesmaximal, complemented
16#39285C212yesmaximal, complemented
17#39192C211yesmaximal, characteristic, complemented
18#39170C211yesmaximal, characteristic, complemented
19#39068C212yesmaximal, complemented
20#38975C211yesmaximal, characteristic, complemented
21#38951C211yesmaximal, characteristic, complemented
22#37500C212yesmaximal, complemented
23#36994C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36505C211yesmaximal, characteristic, complemented
27#36445C211yesmaximal, characteristic, complemented
28#36404C211yesmaximal, characteristic, complemented
29#36401C212yesmaximal, complemented
30#36278C212yesmaximal, complemented
31#36259C211yesmaximal, characteristic, complemented
32#35036C212yesmaximal, complemented
33#35026C212yesmaximal, complemented
34#34473C212yesmaximal, complemented
35C4×#532C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#547C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2866C2212yes—
45#2865C2212yes—
46#2864C2212yes—
47#2864C2211yescharacteristic
48#2863C2212yes—
49#2863C2212yes—
50#2863C2211yescharacteristic
51#2862C2211yescharacteristic
52#2861C2211yescharacteristic
53#2860C2211yescharacteristic
54#2859C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2212yes—
58#2855C2212yes—
59#2855C2212yes—
60#2855C2211yescharacteristic
61#2855C2212yes—
62#2854C2211yescharacteristic
63#2854C2212yes—
64#2853C2212yes—
65#2852C2212yes—
66#2851C2212yes—
67#2851C2211yescharacteristic
68#2851C2212yes—
69#2850C2211yescharacteristic
70#2827C2214yes—
71#2826C2214yes—
72#2802C2214yes—
73#2800C2214yes—
74#2795C2214yes—
75#2793C2214yes—
76#2790C2214yes—
77#2777C2214yes—
78#2772C2214yes—
79#2772C2214yes—
80#2771C2214yes—
81#2761C2214yes—
82#2752C2214yes—
83#2750C2214yes—
84#2746C2214yes—
85#2746C2214yes—
86#2744C2214yes—
87#2740C2214yes—
88#2739C2214yes—
89#2738C2214yes—
90#2738C2214yes—
91#2725C2214yes—
92#2719C2214yes—
93#2719C2214yes—
94#2707C2214yes—
95#2707C2214yes—
96#2707C2214yes—
97#2706C2214yes—
98#2706C2214yes—
99#2701C2214yes—
100#2701C2214yes—
101#2699C2214yes—
102#2695C2214yes—
103#2682C2214yes—
104#2655C2214yes—
105#2652C2214yes—
106#2649C2214yes—
107#2649C2214yes—
108#2648C2214yes—
109#2644C2212yes—
110#2642C2212yes—
111#2630C2214yes—
112#2625C2212yes—
113#2620C2212yes—
114#2608C2214yes—
115#2606C2214yes—
116#2603C2214yes—
117#2602C2214yes—
118#2597C2214yes—
119#2595C2214yes—
120#2594C2214yes—
121#2590C2214yes—
122#2587C2214yes—
123#2587C2214yes—
124#2587C2214yes—
125#2585C2214yes—
126#2579C2214yes—
127#2578C2214yes—
128#2578C2214yes—
129#2577C2214yes—
130#2575C2214yes—
131#2573C2214yes—
132#2571C2212yes—
133#2569C2214yes—
134#2568C2211yescharacteristic
135#2565C2212yes—
136#2562C2212yes—
137#2558C2214yes—
138#2558C2214yes—
139#2554C2214yes—
140#2547C2211yescharacteristic
141#2546C2211yescharacteristic
142#2546C2212yes—
143#2545C2212yes—
144#2542C2212yes—
145#2542C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2212yes—
151#2536C2212yes—
152#2518C2214yes—
153#2516C2214yes—
154#2514C2212yes—
155#2513C2212yes—
156#2512C2212yes—
157#2511C2212yes—
158#2509C2212yes—
159#2507C2212yes—
160#2507C2214yes—
161#2507C2212yes—
162#2503C2212yes—
163#2502C2212yes—
164#2497C2212yes—
165#2496C2212yes—
166#2494C2212yes—
167#2493C2214yes—
168#2490C2212yes—
169#2490C2212yes—
170#2489C2212yes—
171#2486C2212yes—
172#2486C2212yes—
173#2485C2212yes—
174#2475C2214yes—
175#2470C2214yes—
176#2467C2214yes—
177#2460C2214yes—
178#2457C2214yes—
179#2454C2212yes—
180#2454C2214yes—
181#2453C2212yes—
182#2453C2212yes—
183#2448C2212yes—
184#2447C2212yes—
185#2446C2212yes—
186#2446C2212yes—
187#2446C2212yes—
188#2445C2212yes—
189#2442C2212yes—
190#2442C2212yes—
191#2441C2212yes—
192#2441C2212yes—
193#2441C2214yes—
194#2432C2212yes—
195#2432C2212yes—
196#2432C2212yes—
197#2431C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2425C2214yes—
205#2421C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2420C2212yes—
209#2419C2214yes—
210#2417C2212yes—
211#2417C2212yes—
212#2417C2212yes—
213#2416C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2413C2214yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2377C2214yes—
223#2376C2214yes—
224#2374C2214yes—
225#2373C2214yes—
226#2367C2212yes—
227#2365C2212yes—
228#2362C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2360C2212yes—
233#2357C2212yes—
234#2355C2211yescharacteristic
235#2354C2211yescharacteristic
236#2353C2214yes—
237#2352C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241#2347C2212yes—
242#2345C2214yes—
243#2341C2212yes—
244#2341C2212yes—
245#2341C2212yes—
246#2339C2212yes—
247#2335C2214yes—
248#2335C2214yes—
249#2334C2214yes—
250#2333C2214yes—
251#2327C2212yes—
252#2323C2212yes—
253#2322C2214yes—
254#2319C2212yes—
255#2313C2214yes—
256#2311C2212yes—
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×#127C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2211yescharacteristic
265C4×#126C2212yes—
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×#124C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2298C2212yes—
283#2297C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2293C2212yes—
292C2×#389C2212yes—
293#2290C2212yes—
294#2285C2211yescharacteristic
295#2283C2212yes—
296C42×D4C2212yes—
297C42×D4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303#557—44no—
304#557—44no—
305#547—216no—
306#547—44no—
307#547—44no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C4×#41—44no—
352C4×#41—44no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2312yes—
400C22×C42C2311yescharacteristic
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
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#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2312yes—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2314yes—
519#390C2311yescharacteristic
520#390C2314yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2314yes—
714#383C2312yes—
715#383C2314yes—
716#383C2314yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2314yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2312yes—
733#381C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41#4118yescomplemented
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C4⋊Q8—24no—
863C4⋊Q8—28no—
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868#127—24no—
869#126—28no—
870#126—48no—
871#125—42no—
872#125—44no—
873#125—44no—
874#125—44no—
875#125—48no—
876#125—48no—
877#124—24no—
878#124—24no—
879#124—42no—
880#124—44no—
881#123—216no—
882#123—216no—
883#123—48no—
884#123—48no—
885#123—44no—
886#123—48no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—42no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898#121—28no—
899#121—28no—
900#121—216no—
901#121—42no—
902#121—44no—
903#121—44no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933#117—44no—
934#117—44no—
935#117—44no—
936#117—44no—
937#117—42no—
938#117—42no—
939C2×C4⋊C4—216no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42—24no—
1065C2×C42—44no—
1066C2×C42—44no—
1067C2×C42—42no—
1068C2×C42—42no—
1069C2×C42—42no—
1070C2×C42—42no—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187#41—416no—
1188#41—416no—
1189#41—816no—
1190#41—816no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8C2×#4114yes—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4C2×#4114yes—
1235C2×D4C2×#4118yes—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4C2×#4114yes—
1286C22×C4C2×#4118yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—41no—
1461C42—41no—
1462C42—41no—
1463C42—41no—
1464C42—41no—
1465C42—41no—
1466C42—41no—
1467C42—41no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42—44no—
1479C42H(5,𝔽2)14yes—
1480C422−1+414yes—
1481C23—22no—
1482C23—21no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23C22×#4112yes—
1508C23C22×#4114yes—
1509C23C2611yescharacteristic
1510Q8—28no—
1511Q8—44no—
1512Q8—48no—
1513Q8—44no—
1514Q8—48no—
1515D4—28no—
1516D4—48no—
1517D4—48no—
1518D4—48no—
1519D4—48no—
1520D4—44no—
1521D4—44no—
1522D4—84no—
1523D4—88no—
1524D4—88no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—28no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—48no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—48no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—88no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4114yes—
1624C2×C4C22×#4112yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×H(5,𝔽2)12yes—
1627C2×C4C2×H(5,𝔽2)12yes—
1628C2×C4C2×2−1+412yes—
1629C2×C4C2×2−1+412yes—
1630C2×C4C2×2−1+412yes—
1631C2×C4#58512yes—
1632C2×C4#58512yes—
1633C2×C4#58512yes—
1634C2×C4#58512yes—
1635C22—22no—
1636C22—24no—
1637C22—22no—
1638C22—24no—
1639C22—22no—
1640C22—24no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22C23×#4111yescharacteristic
1664C22C22×H(5,𝔽2)11yescharacteristic
1665C22C22×2−1+411yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22C2×#58511yescharacteristic
1668C22C2×#58511yescharacteristic
1669C22C2×#58511yescharacteristic
1670C4—22no—
1671C4—22no—
1672C4—24no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—41no—
1678C4—42no—
1679C4—42no—
1680C4—44no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—44no—
1687C4—42no—
1688C4—41no—
1689C4—41no—
1690C4—44no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—44no—
1697C4—41no—
1698C4—41no—
1699C4#350514yes—
1700C4#356214yes—
1701C2—42no—
1702C2—44no—
1703C2—82no—
1704C2—82no—
1705C2C2×#356211yescharacteristic
1706C2#6276111yescharacteristic
1707C2C2×#350511yescharacteristic
1708C2#6280511yescharacteristic
1709C2#6281611yescharacteristic
1710C2#6283511yescharacteristic
1711C2#6284011yescharacteristic
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. #59694C2semidirect
2. #59474C2semidirect
3. #59450C2semidirect
4. #59434C2semidirect
5. #59418C2semidirect
6. #59418C2semidirect
7. #45913C2semidirect
8. #45617C2semidirect
9. #45616C2semidirect
10. #40341C2semidirect
11. #40223C2semidirect
12. #40221C2semidirect
13. #39923C2semidirect
14. #39914C2semidirect
15. #39889C2semidirect
16. #39285C2semidirect
17. #39192C2semidirect
18. #39170C2semidirect
19. #39068C2semidirect
20. #38975C2semidirect
21. #38951C2semidirect
22. #37500C2semidirect
23. #36994C2semidirect
24. #36638C2semidirect
25. #36635C2semidirect
26. #36505C2semidirect
27. #36445C2semidirect
28. #36404C2semidirect
29. #36401C2semidirect
30. #36278C2semidirect
31. #36259C2semidirect
32. #35036C2semidirect
33. #35026C2semidirect
34. #34473C2semidirect
35. C4×#532C2semidirect
829. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
#596942
#594742
#594502
#594342
#594182
#459132
#456172
#456162
#403412
#402232
#402212
#399232
#399142
#398892
#392852
#391922
#391702
#390682
#389752
#389512
#375002
#369942
#366382
#366352
#365052
#364452
#364042
#364012
#362782
#362592
#350362
#350262
#344732
C4×#5322