Finite Group Databasebeta

← #8458731

Subgroups — #8458731

Order 512.

5005 conjugacy classes of subgroups.

The subgroup lattice has 1767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59660C211yesmaximal, characteristic, complemented
3#59419C211yesmaximal, characteristic, complemented
4#56444C214yesmaximal, complemented
5#53684C214yesmaximal, complemented
6#53415C214yesmaximal, complemented
7#53074C212yesmaximal, complemented
8#52985C212yesmaximal, complemented
9#50737C214yesmaximal, complemented
10#45682C212yesmaximal, complemented
11#45604C212yesmaximal, complemented
12#45176C212yesmaximal, complemented
13#44889C212yesmaximal, complemented
14#42706C212yesmaximal, complemented
15#42617C212yesmaximal, complemented
16#42598C212yesmaximal, complemented
17#42598C212yesmaximal, complemented
18#39865C212yesmaximal, complemented
19#39169C211yesmaximal, characteristic, complemented
20#39169C211yesmaximal, characteristic, complemented
21#39145C212yesmaximal, complemented
22#38956C211yesmaximal, characteristic, complemented
23#38955C211yesmaximal, characteristic, complemented
24#37893C212yesmaximal, complemented
25#37700C212yesmaximal, complemented
26#37630C211yesmaximal, characteristic, complemented
27#37361C212yesmaximal, complemented
28#37361C212yesmaximal, complemented
29#36609C211yesmaximal, characteristic, complemented
30#36164C211yesmaximal, characteristic, complemented
31#36125C211yesmaximal, characteristic, complemented
32#35207C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34918C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2212yes—
41C2×#547C2211yescharacteristic
42C2×#547C2211yescharacteristic
43C2×#540C2212yes—
44C2×#532C2212yes—
45#2862C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2856C2212yes—
49#2854C2212yes—
50#2854C2212yes—
51#2851C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2839C2214yes—
55#2828C2214yes—
56#2828C2214yes—
57#2827C2214yes—
58#2827C2214yes—
59#2824C2214yes—
60#2824C2214yes—
61#2824C2214yes—
62#2797C2214yes—
63#2783C2214yes—
64#2782C2214yes—
65#2782C2214yes—
66#2781C2214yes—
67#2781C2214yes—
68#2778C2214yes—
69#2778C2214yes—
70#2778C2214yes—
71#2765C2214yes—
72#2761C2214yes—
73#2761C2214yes—
74#2760C2214yes—
75#2753C2214yes—
76#2753C2214yes—
77#2753C2214yes—
78#2750C2214yes—
79#2750C2214yes—
80#2743C2214yes—
81#2743C2214yes—
82#2739C2214yes—
83#2728C2214yes—
84#2708C2214yes—
85#2708C2214yes—
86#2708C2214yes—
87#2703C2214yes—
88#2703C2214yes—
89#2703C2214yes—
90#2703C2214yes—
91#2701C2214yes—
92#2699C2214yes—
93#2688C2214yes—
94#2688C2214yes—
95#2688C2214yes—
96#2688C2214yes—
97#2688C2214yes—
98#2688C2214yes—
99#2687C2214yes—
100#2687C2214yes—
101#2682C2214yes—
102#2676C2214yes—
103#2676C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2673C2214yes—
107#2673C2214yes—
108#2673C2214yes—
109#2671C2214yes—
110#2671C2214yes—
111#2661C2214yes—
112#2655C2214yes—
113#2653C2214yes—
114#2648C2214yes—
115#2647C2212yes—
116#2645C2212yes—
117#2645C2212yes—
118#2643C2214yes—
119#2643C2214yes—
120#2642C2212yes—
121#2641C2212yes—
122#2641C2212yes—
123#2635C2214yes—
124#2635C2214yes—
125#2621C2212yes—
126#2619C2212yes—
127#2600C2214yes—
128#2597C2212yes—
129#2597C2212yes—
130#2595C2212yes—
131#2595C2212yes—
132#2592C2212yes—
133#2592C2212yes—
134#2592C2211yescharacteristic
135#2592C2211yescharacteristic
136#2582C2211yescharacteristic
137#2580C2212yes—
138#2580C2211yescharacteristic
139#2580C2211yescharacteristic
140#2570C2211yescharacteristic
141#2570C2211yescharacteristic
142#2568C2211yescharacteristic
143#2566C2212yes—
144#2566C2212yes—
145#2563C2211yescharacteristic
146#2563C2211yescharacteristic
147#2552C2211yescharacteristic
148#2546C2211yescharacteristic
149#2544C2211yescharacteristic
150#2544C2211yescharacteristic
151#2543C2214yes—
152#2543C2214yes—
153#2543C2214yes—
154#2541C2211yescharacteristic
155#2541C2212yes—
156#2541C2211yescharacteristic
157#2541C2212yes—
158#2541C2212yes—
159#2538C2212yes—
160#2537C2211yescharacteristic
161#2537C2211yescharacteristic
162#2536C2214yes—
163#2516C2212yes—
164#2516C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2211yescharacteristic
168#2513C2211yescharacteristic
169#2511C2212yes—
170#2511C2211yescharacteristic
171#2511C2211yescharacteristic
172#2509C2212yes—
173#2505C2214yes—
174#2504C2212yes—
175#2504C2212yes—
176#2503C2212yes—
177#2503C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2490C2212yes—
181#2490C2212yes—
182#2489C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2488C2214yes—
187#2488C2214yes—
188#2464C2214yes—
189#2464C2214yes—
190#2464C2214yes—
191#2458C2214yes—
192#2458C2212yes—
193#2458C2212yes—
194#2457C2214yes—
195#2453C2212yes—
196#2448C2212yes—
197#2448C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2211yescharacteristic
201#2447C2211yescharacteristic
202#2446C2212yes—
203#2445C2214yes—
204#2445C2211yescharacteristic
205#2445C2211yescharacteristic
206#2444C2214yes—
207#2444C2214yes—
208#2444C2214yes—
209#2442C2212yes—
210#2442C2212yes—
211#2442C2212yes—
212#2442C2212yes—
213#2432C2212yes—
214#2432C2212yes—
215#2431C2212yes—
216#2431C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2431C2212yes—
220#2431C2212yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2214yes—
226#2428C2212yes—
227#2428C2212yes—
228#2427C2212yes—
229#2427C2212yes—
230#2427C2212yes—
231#2427C2212yes—
232#2425C2214yes—
233#2422C2212yes—
234#2422C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2419C2214yes—
240#2419C2214yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2398C2212yes—
254#2398C2212yes—
255#2395C2212yes—
256#2395C2212yes—
257#2377C2214yes—
258#2367C2212yes—
259#2367C2212yes—
260#2361C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2357C2212yes—
265D4×C4⋊C4C2212yes—
266#2339C2212yes—
267#2339C2212yes—
268#2339C2212yes—
269#2339C2212yes—
270#2328C2212yes—
271#2328C2212yes—
272#2325C2214yes—
273#2324C2212yes—
274#2324C2212yes—
275#2314C2212yes—
276#2311C2212yes—
277#2311C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#123C2212yes—
288C4×#123C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2290C2212yes—
294#2290C2212yes—
295C2×#382C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303#554—44no—
304#554—44no—
305#550—44no—
306#550—44no—
307#550—48no—
308#547—44no—
309#547—44no—
310#540—48no—
311#532—48no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C42C2312yes—
410C22×C42C2312yes—
411#401C2314yes—
412#401C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2312yes—
515#393C2312yes—
516#393C2314yes—
517#393C2312yes—
518#393C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
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#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2312yes—
746#382C2312yes—
747#382C2314yes—
748#382C2314yes—
749#382C2314yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2312yes—
758#381C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—44no—
877#127—28no—
878#127—24no—
879#127—24no—
880#127—44no—
881#127—42no—
882#127—44no—
883#127—44no—
884#127—48no—
885#125—44no—
886#125—44no—
887#125—44no—
888#124—24no—
889#124—44no—
890#124—42no—
891#124—42no—
892#124—42no—
893#124—44no—
894#124—44no—
895#124—82no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—44no—
901#123—44no—
902#123—84no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909#121—28no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—48no—
916#121—48no—
917#121—48no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—48no—
930#121—48no—
931#121—84no—
932#121—84no—
933#121—84no—
934#121—84no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—42no—
938C4×Q8—42no—
939C4×Q8—42no—
940C4×Q8—44no—
941C4×Q8—82no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—82no—
964C4×D4—84no—
965#117—44no—
966#117—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C42—44no—
1095C2×C42—44no—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
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#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2512yes—
1196C24C2514yes—
1197C24C2512yes—
1198#41—816no—
1199#41—816no—
1200#41—816no—
1201#41—816no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—41no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4H(5,𝔽2)14yes—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2514yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—42no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42—44no—
1506C42—41no—
1507C42—44no—
1508C42—41no—
1509C42—41no—
1510C42—41no—
1511C42—41no—
1512C42H(5,𝔽2)14yes—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—24no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—24no—
1546C23—22no—
1547C23C2×H(5,𝔽2)14yes—
1548C23C2611yescharacteristic
1549Q8—44no—
1550Q8—44no—
1551Q8—48no—
1552Q8—44no—
1553Q8—84no—
1554D4—28no—
1555D4—48no—
1556D4—48no—
1557D4—44no—
1558D4—44no—
1559D4—44no—
1560D4—48no—
1561D4—84no—
1562D4—84no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—84no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572D4—164no—
1573D4—164no—
1574D4—164no—
1575D4—164no—
1576D4—164no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—48no—
1660C2×C4—48no—
1661C2×C4—48no—
1662C2×C4—48no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4—88no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—164no—
1672C2×C4—164no—
1673C2×C4—164no—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4#58512yes—
1679C2×C4#58512yes—
1680C2×C4#58512yes—
1681C2×C4#58512yes—
1682C22—24no—
1683C22—24no—
1684C22—24no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—44no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—44no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—44no—
1712C22—42no—
1713C22—42no—
1714C22—44no—
1715C22—42no—
1716C22—42no—
1717C22C22×H(5,𝔽2)11yescharacteristic
1718C22C22×H(5,𝔽2)11yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22C2×#58511yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22H(7,𝔽2)11yescharacteristic
1724C4—22no—
1725C4—22no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—44no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—41no—
1735C4—42no—
1736C4—42no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—41no—
1743C4—44no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—44no—
1752C4#355814yes—
1753C4#356214yes—
1754C2—44no—
1755C2—82no—
1756C2—82no—
1757C2—82no—
1758C2—84no—
1759C2C2×#355811yescharacteristic
1760C2C2×#356211yescharacteristic
1761C2#6284011yescharacteristic
1762C2#6292011yescharacteristic
1763C2#6293711yescharacteristic
1764C2#6296111yescharacteristic
1765C2#6301811yescharacteristic
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. #59815C2semidirect
2. #59660C2semidirect
3. #59419C2semidirect
4. #56444C2semidirect
5. #53684C2semidirect
6. #53415C2semidirect
7. #53074C2semidirect
8. #52985C2semidirect
9. #50737C2semidirect
10. #45682C2semidirect
11. #45604C2semidirect
12. #45176C2semidirect
13. #44889C2semidirect
14. #42706C2semidirect
15. #42617C2semidirect
16. #42598C2semidirect
17. #42598C2semidirect
18. #39865C2semidirect
19. #39169C2semidirect
20. #39169C2semidirect
21. #39145C2semidirect
22. #38956C2semidirect
23. #38955C2semidirect
24. #37893C2semidirect
25. #37700C2semidirect
26. #37630C2semidirect
27. #37361C2semidirect
28. #37361C2semidirect
29. #36609C2semidirect
30. #36164C2semidirect
31. #36125C2semidirect
32. #35207C2semidirect
33. #35171C2semidirect
34. #34918C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#598152
#596602
#594192
#564442
#536842
#534152
#530742
#529852
#507372
#456822
#456042
#451762
#448892
#427062
#426172
#425982
#398652
#391692
#391452
#389562
#389552
#378932
#377002
#376302
#373612
#366092
#361642
#361252
#352072
#351712
#349182