Finite Group Databasebeta

← #8467157

Subgroups — #8467157

Order 512.

4614 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59442C211yesmaximal, characteristic, complemented
2#59065C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#56378C214yesmaximal, complemented
5#55391C214yesmaximal, complemented
6#54649C214yesmaximal, complemented
7#53098C212yesmaximal, complemented
8#53088C212yesmaximal, complemented
9#50092C214yesmaximal, complemented
10#45708C212yesmaximal, complemented
11#45592C212yesmaximal, complemented
12#45398C212yesmaximal, complemented
13#45200C212yesmaximal, complemented
14#42897C212yesmaximal, complemented
15#42760C212yesmaximal, complemented
16#42727C212yesmaximal, complemented
17#42688C212yesmaximal, complemented
18#40008C212yesmaximal, complemented
19#39785C212yesmaximal, complemented
20#39747C211yesmaximal, characteristic, complemented
21#39148C211yesmaximal, characteristic, complemented
22#39143C212yesmaximal, complemented
23#38987C211yesmaximal, characteristic, complemented
24#38923C211yesmaximal, characteristic, complemented
25#38118C212yesmaximal, complemented
26#37638C211yesmaximal, characteristic, complemented
27#37370C212yesmaximal, complemented
28#37290C212yesmaximal, complemented
29#36586C211yesmaximal, characteristic, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#35238C211yesmaximal, characteristic, complemented
33#35200C211yesmaximal, characteristic, complemented
34#34780C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2858C2211yescharacteristic
43#2857C2211yescharacteristic
44#2856C2211yescharacteristic
45#2856C2212yes—
46#2854C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2850C2212yes—
50#2850C2212yes—
51#2837C2214yes—
52#2833C2214yes—
53#2828C2214yes—
54#2827C2214yes—
55#2826C2214yes—
56#2825C2214yes—
57#2825C2214yes—
58#2813C2214yes—
59#2803C2214yes—
60#2796C2214yes—
61#2787C2214yes—
62#2786C2214yes—
63#2783C2214yes—
64#2782C2214yes—
65#2781C2214yes—
66#2780C2214yes—
67#2779C2214yes—
68#2778C2214yes—
69#2778C2214yes—
70#2765C2214yes—
71#2757C2214yes—
72#2756C2214yes—
73#2756C2214yes—
74#2753C2214yes—
75#2752C2214yes—
76#2751C2214yes—
77#2749C2214yes—
78#2749C2214yes—
79#2749C2214yes—
80#2746C2214yes—
81#2746C2214yes—
82#2746C2214yes—
83#2741C2214yes—
84#2741C2214yes—
85#2740C2214yes—
86#2740C2214yes—
87#2740C2214yes—
88#2739C2214yes—
89#2724C2214yes—
90#2723C2214yes—
91#2722C2214yes—
92#2714C2214yes—
93#2714C2214yes—
94#2711C2214yes—
95#2706C2214yes—
96#2703C2214yes—
97#2703C2214yes—
98#2703C2214yes—
99#2699C2214yes—
100#2695C2214yes—
101#2694C2214yes—
102#2693C2214yes—
103#2688C2214yes—
104#2688C2214yes—
105#2688C2214yes—
106#2686C2214yes—
107#2671C2214yes—
108#2662C2214yes—
109#2661C2214yes—
110#2657C2212yes—
111#2652C2214yes—
112#2651C2214yes—
113#2649C2214yes—
114#2647C2212yes—
115#2647C2212yes—
116#2645C2212yes—
117#2645C2212yes—
118#2644C2212yes—
119#2644C2212yes—
120#2643C2214yes—
121#2638C2214yes—
122#2634C2214yes—
123#2625C2212yes—
124#2599C2214yes—
125#2596C2214yes—
126#2582C2211yescharacteristic
127#2578C2214yes—
128#2578C2214yes—
129#2576C2214yes—
130#2571C2211yescharacteristic
131#2570C2212yes—
132#2567C2211yescharacteristic
133#2567C2211yescharacteristic
134#2566C2212yes—
135#2563C2211yescharacteristic
136#2563C2211yescharacteristic
137#2562C2212yes—
138#2558C2214yes—
139#2548C2211yescharacteristic
140#2548C2212yes—
141#2547C2212yes—
142#2547C2211yescharacteristic
143#2547C2212yes—
144#2546C2211yescharacteristic
145#2545C2212yes—
146#2544C2212yes—
147#2544C2212yes—
148#2541C2211yescharacteristic
149#2540C2212yes—
150#2537C2212yes—
151#2535C2212yes—
152#2525C2214yes—
153#2524C2212yes—
154#2516C2214yes—
155#2516C2214yes—
156#2515C2212yes—
157#2515C2214yes—
158#2514C2212yes—
159#2514C2212yes—
160#2514C2212yes—
161#2514C2211yescharacteristic
162#2513C2212yes—
163#2513C2212yes—
164#2510C2214yes—
165#2510C2214yes—
166#2510C2214yes—
167#2508C2211yescharacteristic
168#2506C2212yes—
169#2506C2212yes—
170#2504C2212yes—
171#2503C2211yescharacteristic
172#2499C2212yes—
173#2495C2211yescharacteristic
174#2494C2212yes—
175#2493C2212yes—
176#2493C2214yes—
177#2490C2212yes—
178#2490C2214yes—
179#2489C2211yescharacteristic
180#2489C2212yes—
181#2487C2212yes—
182#2486C2212yes—
183#2486C2211yescharacteristic
184#2485C2212yes—
185#2485C2212yes—
186#2485C2212yes—
187#2485C2212yes—
188#2479C2212yes—
189#2476C2214yes—
190#2471C2212yes—
191#2469C2214yes—
192#2467C2212yes—
193#2464C2214yes—
194#2458C2214yes—
195#2456C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2454C2211yescharacteristic
199#2453C2212yes—
200#2448C2212yes—
201#2448C2212yes—
202#2448C2212yes—
203#2448C2211yescharacteristic
204#2448C2212yes—
205#2447C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2442C2211yescharacteristic
210#2441C2212yes—
211#2441C2211yescharacteristic
212#2432C2212yes—
213#2431C2212yes—
214#2431C2211yescharacteristic
215#2430C2214yes—
216#2430C2214yes—
217#2429C2212yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2211yescharacteristic
221#2427C2212yes—
222#2427C2212yes—
223#2426C2212yes—
224#2426C2212yes—
225#2426C2212yes—
226#2423C2211yescharacteristic
227#2422C2212yes—
228#2421C2212yes—
229#2420C2212yes—
230#2420C2212yes—
231#2420C2212yes—
232#2419C2212yes—
233#2417C2212yes—
234#2417C2211yescharacteristic
235#2416C2212yes—
236#2416C2212yes—
237#2416C2212yes—
238#2415C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2414C2211yescharacteristic
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2211yescharacteristic
250#2402C2212yes—
251#2401C2212yes—
252#2397C2212yes—
253#2392C2212yes—
254#2377C2214yes—
255#2367C2212yes—
256#2367C2212yes—
257#2366C2211yescharacteristic
258#2365C2211yescharacteristic
259#2363C2212yes—
260#2363C2212yes—
261#2357C2212yes—
262#2354C2211yescharacteristic
263#2354C2212yes—
264#2352C2212yes—
265#2352C2212yes—
266#2351C2212yes—
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269#2347C2212yes—
270#2341C2212yes—
271#2339C2212yes—
272#2333C2214yes—
273#2328C2212yes—
274#2327C2212yes—
275#2326C2212yes—
276#2326C2212yes—
277#2324C2212yes—
278#2324C2212yes—
279#2319C2212yes—
280#2316C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×#123C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2295C2211yescharacteristic
293#2295C2211yescharacteristic
294#2290C2212yes—
295#2283C2211yescharacteristic
296#2283C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#556—44no—
303#550—44no—
304#533—44no—
305#532—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2312yes—
313#529—44no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C4×#41—44no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2312yes—
396C22×C42C2312yes—
397#401C2314yes—
398#401C2314yes—
399#401C2314yes—
400#401C2312yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#399C2314yes—
421#399C2312yes—
422#399C2312yes—
423#399C2314yes—
424#399C2312yes—
425#399C2312yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#395C2314yes—
479#395C2314yes—
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#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2314yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2312yes—
722#383C2314yes—
723#383C2314yes—
724#383C2312yes—
725#383C2312yes—
726#383C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2312yes—
737#381C2314yes—
738#381C2312yes—
739#381C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2311yescharacteristic
816C2×#41—44no—
817C2×#41—42no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865C4⋊Q8—44no—
866#127—24no—
867#127—44no—
868#127—42no—
869#127—44no—
870#126—44no—
871#126—48no—
872#125—42no—
873#125—42no—
874#125—44no—
875#125—84no—
876#124—44no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—42no—
881#124—44no—
882#124—44no—
883#123—44no—
884#123—44no—
885#123—84no—
886#123—84no—
887#123—84no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—44no—
891C22⋊Q8—42no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895#121—48no—
896#121—44no—
897#121—48no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—42no—
902#121—44no—
903#121—42no—
904#121—42no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—48no—
909#121—84no—
910#121—82no—
911#121—84no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—82no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—42no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—42no—
943#117—44no—
944#117—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—42no—
947C2×C4⋊C4—42no—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
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×C42—24no—
1074C2×C42—24no—
1075C2×C42—44no—
1076C2×C42—44no—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2514yes—
1181C24C2511yescharacteristic
1182#41—416no—
1183#41—816no—
1184#41—816no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—42no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—41no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C22⋊C4—22no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—41no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—22no—
1465C42—24no—
1466C42—22no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—42no—
1471C42—42no—
1472C42—42no—
1473C42—42no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42—41no—
1478C42—44no—
1479C42—41no—
1480C42—44no—
1481C42H(5,𝔽2)14yes—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—24no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—24no—
1496C23—24no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—24no—
1503C23—24no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—24no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—21no—
1516C23#58512yes—
1517C23C2611yescharacteristic
1518Q8—48no—
1519Q8—48no—
1520Q8—44no—
1521Q8—44no—
1522D4—44no—
1523D4—48no—
1524D4—44no—
1525D4—48no—
1526D4—44no—
1527D4—48no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—88no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—88no—
1536D4—164no—
1537D4—164no—
1538D4—164no—
1539D4—164no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—82no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—164no—
1638C2×C4—164no—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C2×C4#58512yes—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—44no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—44no—
1661C22—44no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—41no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—44no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—44no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—44no—
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22H(7,𝔽2)11yescharacteristic
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—42no—
1692C4—44no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—44no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—44no—
1715C4—41no—
1716C4#353914yes—
1717C4#356214yes—
1718C2—42no—
1719C2—82no—
1720C2—81no—
1721C2—82no—
1722C2—84no—
1723C2C2×#353911yescharacteristic
1724C2C2×#356211yescharacteristic
1725C2#6282711yescharacteristic
1726C2#6292411yescharacteristic
1727C2#6293711yescharacteristic
1728C2#6296611yescharacteristic
1729C2#6302911yescharacteristic
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. #59442C2semidirect
2. #59065C2semidirect
3. #59039C2semidirect
4. #56378C2semidirect
5. #55391C2semidirect
6. #54649C2semidirect
7. #53098C2semidirect
8. #53088C2semidirect
9. #50092C2semidirect
10. #45708C2semidirect
11. #45592C2semidirect
12. #45398C2semidirect
13. #45200C2semidirect
14. #42897C2semidirect
15. #42760C2semidirect
16. #42727C2semidirect
17. #42688C2semidirect
18. #40008C2semidirect
19. #39785C2semidirect
20. #39747C2semidirect
21. #39148C2semidirect
22. #39143C2semidirect
23. #38987C2semidirect
24. #38923C2semidirect
25. #38118C2semidirect
26. #37638C2semidirect
27. #37370C2semidirect
28. #37290C2semidirect
29. #36586C2semidirect
30. #36410C2semidirect
31. #36150C2semidirect
32. #35238C2semidirect
33. #35200C2semidirect
34. #34780C2semidirect
35. #34727C2semidirect

Maximal subgroups

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

subgroupindex
#594422
#590652
#590392
#563782
#553912
#546492
#530982
#530882
#500922
#457082
#455922
#453982
#452002
#428972
#427602
#427272
#426882
#400082
#397852
#397472
#391482
#391432
#389872
#389232
#381182
#376382
#373702
#372902
#365862
#364102
#361502
#352382
#352002
#347802
#347272