Finite Group Databasebeta

← #8467130

Subgroups — #8467130

Order 512.

4922 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#59641C211yesmaximal, characteristic, complemented
2#59080C211yesmaximal, characteristic, complemented
3#59056C211yesmaximal, characteristic, complemented
4#58206C214yesmaximal, complemented
5#56364C214yesmaximal, complemented
6#55313C214yesmaximal, complemented
7#53115C212yesmaximal, complemented
8#53096C212yesmaximal, complemented
9#50023C214yesmaximal, complemented
10#46104C212yesmaximal, complemented
11#45514C212yesmaximal, complemented
12#45319C212yesmaximal, complemented
13#44945C212yesmaximal, complemented
14#42806C212yesmaximal, complemented
15#42734C212yesmaximal, complemented
16#42709C212yesmaximal, complemented
17#42605C212yesmaximal, complemented
18#40150C212yesmaximal, complemented
19#39643C211yesmaximal, characteristic, complemented
20#39275C212yesmaximal, complemented
21#39171C212yesmaximal, complemented
22#39146C211yesmaximal, characteristic, complemented
23#38958C211yesmaximal, characteristic, complemented
24#38922C211yesmaximal, characteristic, complemented
25#38255C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37330C212yesmaximal, complemented
28#37329C212yesmaximal, complemented
29Q8×#121C211yesmaximal, characteristic, complemented
30#36287C211yesmaximal, characteristic, complemented
31#36149C211yesmaximal, characteristic, complemented
32#35249C211yesmaximal, characteristic, complemented
33#35191C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34708C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#555C2211yescharacteristic
38C2×D4×Q8C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#548C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2862C2211yescharacteristic
46#2861C2212yes—
47#2859C2212yes—
48#2858C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2837C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2826C2214yes—
58#2826C2214yes—
59#2816C2214yes—
60#2813C2214yes—
61#2813C2214yes—
62#2803C2214yes—
63#2800C2214yes—
64#2799C2214yes—
65#2798C2214yes—
66#2798C2214yes—
67#2780C2214yes—
68#2779C2214yes—
69#2771C2214yes—
70#2770C2214yes—
71#2768C2214yes—
72#2761C2214yes—
73#2755C2214yes—
74#2754C2214yes—
75#2753C2214yes—
76#2753C2214yes—
77#2751C2214yes—
78#2748C2214yes—
79#2746C2214yes—
80#2746C2214yes—
81#2743C2214yes—
82#2733C2214yes—
83#2732C2214yes—
84#2731C2214yes—
85#2730C2214yes—
86#2729C2214yes—
87#2715C2214yes—
88#2712C2214yes—
89#2711C2214yes—
90#2710C2214yes—
91#2710C2214yes—
92#2710C2214yes—
93#2709C2214yes—
94#2707C2214yes—
95#2706C2214yes—
96#2701C2214yes—
97#2700C2214yes—
98#2700C2214yes—
99#2696C2214yes—
100#2696C2214yes—
101#2696C2214yes—
102#2696C2214yes—
103#2694C2214yes—
104#2694C2214yes—
105#2693C2214yes—
106#2687C2214yes—
107#2676C2214yes—
108#2673C2214yes—
109#2672C2214yes—
110#2671C2214yes—
111#2661C2214yes—
112#2653C2214yes—
113#2647C2212yes—
114#2645C2212yes—
115#2644C2212yes—
116#2643C2214yes—
117#2641C2212yes—
118#2640C2214yes—
119#2638C2214yes—
120#2635C2214yes—
121#2632C2214yes—
122#2630C2214yes—
123#2624C2212yes—
124#2624C2212yes—
125#2620C2212yes—
126#2620C2212yes—
127#2612C2214yes—
128#2603C2214yes—
129#2600C2214yes—
130#2589C2214yes—
131#2582C2212yes—
132#2580C2212yes—
133#2580C2212yes—
134#2580C2212yes—
135#2568C2212yes—
136#2567C2211yescharacteristic
137#2567C2211yescharacteristic
138#2563C2214yes—
139#2562C2212yes—
140#2556C2214yes—
141#2552C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2211yescharacteristic
144#2547C2211yescharacteristic
145#2546C2211yescharacteristic
146#2546C2212yes—
147#2544C2214yes—
148#2541C2212yes—
149#2541C2212yes—
150#2541C2211yescharacteristic
151#2541C2211yescharacteristic
152#2538C2211yescharacteristic
153#2538C2212yes—
154#2537C2212yes—
155#2535C2212yes—
156#2532C2212yes—
157#2527C2214yes—
158#2526C2214yes—
159#2526C2212yes—
160#2518C2212yes—
161#2516C2214yes—
162#2513C2211yescharacteristic
163#2511C2212yes—
164#2509C2212yes—
165#2508C2211yescharacteristic
166#2508C2212yes—
167#2506C2212yes—
168#2505C2214yes—
169#2501C2212yes—
170#2501C2212yes—
171#2500C2211yescharacteristic
172#2499C2212yes—
173#2497C2212yes—
174#2497C2211yescharacteristic
175#2494C2212yes—
176#2491C2211yescharacteristic
177#2491C2212yes—
178#2491C2212yes—
179#2487C2212yes—
180#2485C2212yes—
181#2485C2211yescharacteristic
182#2481C2212yes—
183#2469C2212yes—
184#2464C2214yes—
185#2463C2214yes—
186#2459C2214yes—
187#2459C2212yes—
188#2458C2212yes—
189#2455C2214yes—
190#2454C2212yes—
191#2453C2211yescharacteristic
192#2452C2212yes—
193#2450C2214yes—
194#2448C2212yes—
195#2448C2211yescharacteristic
196#2447C2212yes—
197#2447C2212yes—
198#2446C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2443C2212yes—
202#2442C2211yescharacteristic
203#2442C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2439C2211yescharacteristic
209#2436C2211yescharacteristic
210#2436C2212yes—
211#2436C2212yes—
212#2436C2212yes—
213#2432C2212yes—
214#2431C2212yes—
215#2431C2214yes—
216#2429C2214yes—
217#2429C2212yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2427C2212yes—
226#2426C2211yescharacteristic
227#2426C2212yes—
228#2425C2214yes—
229#2423C2212yes—
230#2423C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2421C2211yescharacteristic
234#2420C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2417C2212yes—
239#2417C2214yes—
240#2416C2212yes—
241#2416C2211yescharacteristic
242#2415C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2211yescharacteristic
248#2409C2211yescharacteristic
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2406C2214yes—
253#2398C2212yes—
254#2398C2212yes—
255#2396C2212yes—
256#2392C2212yes—
257#2376C2214yes—
258#2370C2212yes—
259#2369C2211yescharacteristic
260#2366C2212yes—
261#2365C2211yescharacteristic
262#2363C2212yes—
263#2363C2212yes—
264#2361C2212yes—
265Q8×C4⋊C4C2211yescharacteristic
266#2349C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268#2346C2212yes—
269Q8×C22⋊C4C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2331C2212yes—
273#2328C2214yes—
274#2326C2212yes—
275#2326C2212yes—
276#2326C2212yes—
277#2324C2212yes—
278#2324C2212yes—
279#2316C2212yes—
280#2310C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#124C2212yes—
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2298C2212yes—
292#2295C2212yes—
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×Q8C2311yescharacteristic
303#559—48no—
304#555—44no—
305D4×Q8—44no—
306D4×Q8—48no—
307#548—48no—
308#532—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2314yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320#529—44no—
321C2×#126C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×C4×Q8—44no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414#401C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#393C2312yes—
518#393C2314yes—
519#393C2312yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2314yes—
526#393C2314yes—
527#393C2312yes—
528#393C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2314yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2312yes—
555#391C2314yes—
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#391C2312yes—
560#391C2314yes—
561#391C2311yescharacteristic
562#391C2312yes—
563#391C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2314yes—
586#390C2312yes—
587#390C2314yes—
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#383C2312yes—
742#382C2312yes—
743#382C2314yes—
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2314yes—
749#382C2312yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2314yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C22×Q8—24no—
826C22×Q8—28no—
827C22×Q8—42no—
828C22×Q8—42no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—44no—
874C4⋊Q8—48no—
875C4⋊Q8—44no—
876#127—24no—
877#127—44no—
878#127—44no—
879#127—48no—
880#126—44no—
881#125—44no—
882#125—42no—
883#125—84no—
884#124—28no—
885#124—24no—
886#124—48no—
887#124—44no—
888#124—44no—
889#124—42no—
890#124—44no—
891#124—44no—
892#124—44no—
893#124—48no—
894#124—48no—
895#123—48no—
896#123—48no—
897#123—44no—
898#123—48no—
899#123—84no—
900#123—84no—
901#123—84no—
902C22⋊Q8—24no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—42no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—82no—
912#121—24no—
913#121—28no—
914#121—48no—
915#121—42no—
916#121—44no—
917#121—44no—
918#121—42no—
919#121—42no—
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—84no—
929#121—84no—
930C4×Q8—28no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—42no—
937C4×Q8—42no—
938C4×Q8—44no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—48no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—42no—
959C4×D4—82no—
960#117—24no—
961#117—44no—
962#117—44no—
963#117—42no—
964#117—44no—
965#117—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42—44no—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2514yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201#41—816no—
1202#41—816no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—28no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—42no—
1223C2×Q8—416no—
1224C2×Q8—816no—
1225C2×Q8H(5,𝔽2)14yes—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—42no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
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—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—28no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—41no—
1310C22×C4—44no—
1311C22×C4—41no—
1312C22×C4—42no—
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×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
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—41no—
1383C4⋊C4—41no—
1384C4⋊C4—42no—
1385C4⋊C4—41no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C42−1+414yes—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—28no—
1490C42—24no—
1491C42—22no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—22no—
1498C42—24no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—41no—
1504C42—44no—
1505C42—41no—
1506C42—42no—
1507C42—42no—
1508C42—44no—
1509C42H(5,𝔽2)14yes—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—24no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—24no—
1523C23—21no—
1524C23—21no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—22no—
1529C23—21no—
1530C23—21no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23#58512yes—
1545C23C2611yescharacteristic
1546Q8—28no—
1547Q8—48no—
1548Q8—44no—
1549Q8—48no—
1550Q8—84no—
1551Q8—88no—
1552Q8—84no—
1553D4—48no—
1554D4—48no—
1555D4—44no—
1556D4—44no—
1557D4—48no—
1558D4—44no—
1559D4—48no—
1560D4—88no—
1561D4—84no—
1562D4—88no—
1563D4—84no—
1564D4—88no—
1565D4—84no—
1566D4—88no—
1567D4—164no—
1568D4—164no—
1569D4—164no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—21no—
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—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
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—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—48no—
1659C2×C4—82no—
1660C2×C4—88no—
1661C2×C4—84no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—164no—
1665C2×C4—164no—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)14yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×2−1+414yes—
1672C2×C4C2×2−1+412yes—
1673C2×C4#58512yes—
1674C2×C4#58512yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—41no—
1690C22—41no—
1691C22—42no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22—42no—
1697C22—41no—
1698C22—44no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—41no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—41no—
1708C22—44no—
1709C22—42no—
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—24no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—44no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—41no—
1735C4—42no—
1736C4—42no—
1737C4—44no—
1738C4—42no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—44no—
1745C4#354214yes—
1746C4#355414yes—
1747C2—42no—
1748C2—82no—
1749C2—81no—
1750C2—82no—
1751C2—84no—
1752C2C2×#354211yescharacteristic
1753C2C2×#355411yescharacteristic
1754C2#6282711yescharacteristic
1755C2#6292311yescharacteristic
1756C2#6292411yescharacteristic
1757C2#6295211yescharacteristic
1758C2#6301511yescharacteristic
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. #59641C2semidirect
2. #59080C2semidirect
3. #59056C2semidirect
4. #58206C2semidirect
5. #56364C2semidirect
6. #55313C2semidirect
7. #53115C2semidirect
8. #53096C2semidirect
9. #50023C2semidirect
10. #46104C2semidirect
11. #45514C2semidirect
12. #45319C2semidirect
13. #44945C2semidirect
14. #42806C2semidirect
15. #42734C2semidirect
16. #42709C2semidirect
17. #42605C2semidirect
18. #40150C2semidirect
19. #39643C2semidirect
20. #39275C2semidirect
21. #39171C2semidirect
22. #39146C2semidirect
23. #38958C2semidirect
24. #38922C2semidirect
25. #38255C2semidirect
26. #37625C2semidirect
27. #37330C2semidirect
28. #37329C2semidirect
29. Q8×#121C2semidirect
30. #36287C2semidirect
31. #36149C2semidirect
32. #35249C2semidirect
33. #35191C2semidirect
34. #34800C2semidirect
35. #34708C2semidirect

Maximal subgroups

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

subgroupindex
#596412
#590802
#590562
#582062
#563642
#553132
#531152
#530962
#500232
#461042
#455142
#453192
#449452
#428062
#427342
#427092
#426052
#401502
#396432
#392752
#391712
#391462
#389582
#389222
#382552
#376252
#373302
#373292
Q8×#1212
#362872
#361492
#352492
#351912
#348002
#347082