Finite Group Databasebeta

← #8429531

Subgroups — #8429531

Order 512.

4937 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59897C212yesmaximal, complemented
2#59641C211yesmaximal, characteristic, complemented
3#59411C212yesmaximal, complemented
4#59057C211yesmaximal, characteristic, complemented
5#59051C211yesmaximal, characteristic, complemented
6#56212C214yesmaximal, complemented
7#54756C214yesmaximal, complemented
8#53134C212yesmaximal, complemented
9#53127C212yesmaximal, complemented
10#53115C212yesmaximal, complemented
11#53053C212yesmaximal, complemented
12#52421C214yesmaximal, complemented
13#42927C212yesmaximal, complemented
14#42683C212yesmaximal, complemented
15#42599C212yesmaximal, complemented
16#42593C212yesmaximal, complemented
17#40647C214yesmaximal, complemented
18#39643C211yesmaximal, characteristic, complemented
19#39598C211yesmaximal, characteristic, complemented
20#39275C212yesmaximal, complemented
21#39064C212yesmaximal, complemented
22#39005C212yesmaximal, complemented
23#39000C212yesmaximal, complemented
24#38955C211yesmaximal, characteristic, complemented
25#38932C211yesmaximal, characteristic, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37619C211yesmaximal, characteristic, complemented
28#37594C212yesmaximal, complemented
29#37502C212yesmaximal, complemented
30#36481C211yesmaximal, characteristic, complemented
31#36259C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#554C2211yescharacteristic
38C2×#550C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2854C2212yes—
50#2837C2214yes—
51#2837C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2832C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2828C2214yes—
58#2827C2214yes—
59#2826C2214yes—
60#2816C2214yes—
61#2816C2214yes—
62#2813C2214yes—
63#2813C2214yes—
64#2807C2214yes—
65#2803C2214yes—
66#2799C2214yes—
67#2788C2214yes—
68#2781C2214yes—
69#2764C2214yes—
70#2764C2214yes—
71#2757C2214yes—
72#2757C2214yes—
73#2755C2214yes—
74#2751C2214yes—
75#2749C2214yes—
76#2749C2214yes—
77#2743C2214yes—
78#2740C2214yes—
79#2737C2214yes—
80#2730C2214yes—
81#2710C2214yes—
82#2710C2214yes—
83#2710C2214yes—
84#2709C2214yes—
85#2708C2214yes—
86#2706C2214yes—
87#2706C2214yes—
88#2704C2214yes—
89#2701C2214yes—
90#2701C2214yes—
91#2701C2214yes—
92#2696C2214yes—
93#2687C2214yes—
94#2687C2214yes—
95#2687C2214yes—
96#2687C2214yes—
97#2683C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2671C2214yes—
101#2667C2214yes—
102#2658C2212yes—
103#2654C2214yes—
104#2651C2214yes—
105#2649C2214yes—
106#2649C2214yes—
107#2647C2212yes—
108#2647C2212yes—
109#2644C2212yes—
110#2641C2212yes—
111#2640C2212yes—
112#2635C2214yes—
113#2633C2214yes—
114#2630C2214yes—
115#2630C2214yes—
116#2629C2212yes—
117#2624C2212yes—
118#2624C2212yes—
119#2624C2212yes—
120#2623C2214yes—
121#2621C2212yes—
122#2620C2212yes—
123#2618C2214yes—
124#2610C2214yes—
125#2606C2214yes—
126#2600C2214yes—
127#2584C2212yes—
128#2582C2212yes—
129#2580C2212yes—
130#2580C2212yes—
131#2580C2212yes—
132#2579C2214yes—
133#2568C2212yes—
134#2567C2211yescharacteristic
135#2564C2214yes—
136#2563C2211yescharacteristic
137#2562C2212yes—
138#2552C2211yescharacteristic
139#2548C2211yescharacteristic
140#2548C2211yescharacteristic
141#2546C2211yescharacteristic
142#2546C2211yescharacteristic
143#2544C2214yes—
144#2541C2212yes—
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2540C2212yes—
148#2538C2212yes—
149#2538C2212yes—
150#2538C2211yescharacteristic
151#2535C2212yes—
152#2532C2212yes—
153#2526C2212yes—
154#2522C2214yes—
155#2522C2214yes—
156#2518C2212yes—
157#2516C2214yes—
158#2513C2211yescharacteristic
159#2511C2212yes—
160#2509C2212yes—
161#2508C2212yes—
162#2508C2211yescharacteristic
163#2507C2212yes—
164#2505C2214yes—
165#2503C2212yes—
166#2501C2212yes—
167#2500C2212yes—
168#2500C2211yescharacteristic
169#2497C2211yescharacteristic
170#2495C2212yes—
171#2495C2212yes—
172#2491C2212yes—
173#2491C2211yescharacteristic
174#2490C2212yes—
175#2487C2214yes—
176#2486C2212yes—
177#2486C2212yes—
178#2485C2211yescharacteristic
179#2477C2212yes—
180#2475C2212yes—
181#2463C2214yes—
182#2463C2212yes—
183#2460C2212yes—
184#2459C2214yes—
185#2459C2212yes—
186#2456C2214yes—
187#2455C2214yes—
188#2454C2212yes—
189#2454C2212yes—
190#2452C2211yescharacteristic
191#2448C2212yes—
192#2447C2214yes—
193#2447C2212yes—
194#2447C2212yes—
195#2446C2211yescharacteristic
196#2446C2212yes—
197#2445C2214yes—
198#2445C2212yes—
199#2445C2212yes—
200#2442C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2441C2212yes—
204#2440C2212yes—
205#2439C2211yescharacteristic
206#2439C2211yescharacteristic
207#2432C2212yes—
208#2432C2212yes—
209#2432C2212yes—
210#2432C2211yescharacteristic
211#2431C2212yes—
212#2431C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2427C2211yescharacteristic
219#2427C2212yes—
220#2427C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2426C2212yes—
224#2425C2214yes—
225#2425C2214yes—
226#2425C2214yes—
227#2423C2212yes—
228#2422C2212yes—
229#2422C2212yes—
230#2422C2212yes—
231#2421C2211yescharacteristic
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2419C2214yes—
237#2417C2212yes—
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2415C2211yescharacteristic
242#2415C2212yes—
243#2414C2211yescharacteristic
244#2414C2212yes—
245#2414C2212yes—
246#2413C2214yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2407C2214yes—
252#2398C2212yes—
253#2398C2212yes—
254#2392C2212yes—
255#2392C2212yes—
256#2388C2214yes—
257#2370C2212yes—
258#2369C2211yescharacteristic
259#2366C2212yes—
260#2365C2211yescharacteristic
261#2361C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265#2349C2214yes—
266#2349C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268#2347C2212yes—
269#2339C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2331C2212yes—
273#2324C2212yes—
274#2319C2212yes—
275#2318C2214yes—
276#2311C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2212yes—
280C4×#127C2211yescharacteristic
281C4×#124C2212yes—
282C4×#124C2211yescharacteristic
283C4×#124C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2298C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294C2×#389C2212yes—
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303#559—48no—
304#554—44no—
305#550—48no—
306#547—44no—
307#547—48no—
308#533—44no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#395C2314yes—
492#395C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#393C2314yes—
530#393C2312yes—
531#393C2314yes—
532#393C2314yes—
533#393C2312yes—
534#393C2314yes—
535#393C2312yes—
536#393C2312yes—
537#392C2314yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2312yes—
547#392C2314yes—
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2314yes—
557#391C2312yes—
558#391C2314yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2314yes—
566#391C2312yes—
567#391C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2314yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2314yes—
589#390C2311yescharacteristic
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2311yescharacteristic
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2314yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2311yescharacteristic
735#384C2312yes—
736#383C2314yes—
737#383C2314yes—
738#383C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#381C2312yes—
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—82no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—42no—
874C4⋊Q8—44no—
875C4⋊Q8—42no—
876C4⋊Q8—44no—
877#127—28no—
878#127—24no—
879#127—44no—
880#127—48no—
881#125—44no—
882#125—44no—
883#125—44no—
884#124—24no—
885#124—44no—
886#124—44no—
887#124—44no—
888#124—44no—
889#124—44no—
890#124—48no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—84no—
897#123—84no—
898#123—84no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—84no—
910C22⋊Q8—82no—
911#121—24no—
912#121—28no—
913#121—24no—
914#121—48no—
915#121—42no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—48no—
925#121—48no—
926#121—84no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—42no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—44no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—84no—
958C4×D4—82no—
959#117—24no—
960#117—44no—
961#117—44no—
962#117—44no—
963#117—42no—
964#117—42no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—48no—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C42—24no—
1100C2×C42—24no—
1101C2×C42—44no—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
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#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2511yescharacteristic
1199C24C2514yes—
1200C24C2512yes—
1201#41—416no—
1202#41—816no—
1203#41—816no—
1204#41—816no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4H(5,𝔽2)14yes—
1274C22×C4—24no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—41no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2514yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C42−1+414yes—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—22no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—44no—
1444C22⋊C4—41no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—22no—
1498C42—24no—
1499C42—24no—
1500C42—42no—
1501C42—42no—
1502C42—42no—
1503C42—41no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—42no—
1508C42—41no—
1509C42H(5,𝔽2)14yes—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—24no—
1521C23—24no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—24no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—24no—
1534C23—24no—
1535C23—22no—
1536C23—24no—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—21no—
1544C23C2×H(5,𝔽2)14yes—
1545C23C2611yescharacteristic
1546Q8—44no—
1547Q8—44no—
1548Q8—48no—
1549Q8—84no—
1550Q8—84no—
1551Q8—84no—
1552D4—28no—
1553D4—416no—
1554D4—48no—
1555D4—48no—
1556D4—44no—
1557D4—48no—
1558D4—44no—
1559D4—48no—
1560D4—84no—
1561D4—88no—
1562D4—84no—
1563D4—88no—
1564D4—88no—
1565D4—84no—
1566D4—88no—
1567D4—88no—
1568D4—164no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
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—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—44no—
1651C2×C4—48no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—84no—
1659C2×C4—82no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—164no—
1665C2×C4—164no—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×2−1+414yes—
1671C2×C4C2×2−1+412yes—
1672C2×C4#58512yes—
1673C2×C4#58512yes—
1674C2×C4#58512yes—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—41no—
1683C22—41no—
1684C22—42no—
1685C22—44no—
1686C22—44no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—44no—
1694C22—44no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—44no—
1700C22—41no—
1701C22—42no—
1702C22—41no—
1703C22—44no—
1704C22—42no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—44no—
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C22×2−1+411yescharacteristic
1713C22C2×#58511yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22H(7,𝔽2)11yescharacteristic
1717C4—24no—
1718C4—22no—
1719C4—22no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—42no—
1729C4—44no—
1730C4—41no—
1731C4—42no—
1732C4—42no—
1733C4—44no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—42no—
1743C4—44no—
1744C4—42no—
1745C4#354214yes—
1746C4#355414yes—
1747C2—44no—
1748C2—81no—
1749C2—81no—
1750C2—84no—
1751C2—82no—
1752C2C2×#354211yescharacteristic
1753C2C2×#355411yescharacteristic
1754C2#6276211yescharacteristic
1755C2#6292011yescharacteristic
1756C2#6292411yescharacteristic
1757C2#6295211yescharacteristic
1758C2#6301311yescharacteristic
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. #59897C2semidirect
2. #59641C2semidirect
3. #59411C2semidirect
4. #59057C2semidirect
5. #59051C2semidirect
6. #56212C2semidirect
7. #54756C2semidirect
8. #53134C2semidirect
9. #53127C2semidirect
10. #53115C2semidirect
11. #53053C2semidirect
12. #52421C2semidirect
13. #42927C2semidirect
14. #42683C2semidirect
15. #42599C2semidirect
16. #42593C2semidirect
17. #40647C2semidirect
18. #39643C2semidirect
19. #39598C2semidirect
20. #39275C2semidirect
21. #39064C2semidirect
22. #39005C2semidirect
23. #39000C2semidirect
24. #38955C2semidirect
25. #38932C2semidirect
26. #37625C2semidirect
27. #37619C2semidirect
28. #37594C2semidirect
29. #37502C2semidirect
30. #36481C2semidirect
31. #36259C2semidirect
32. #36149C2semidirect
33. #34977C2semidirect
34. #34800C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#598972
#596412
#594112
#590572
#590512
#562122
#547562
#531342
#531272
#531152
#530532
#524212
#429272
#426832
#425992
#425932
#406472
#396432
#395982
#392752
#390642
#390052
#390002
#389552
#389322
#376252
#376192
#375942
#375022
#364812
#362592
#361492
#349772
#348002
#347202