Finite Group Databasebeta

← #8424418

Subgroups — #8424418

Order 512.

4741 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic
2#59653C211yesmaximal, characteristic, complemented
3#59460C212yesmaximal, complemented
4#59413C211yesmaximal, characteristic, complemented
5#59098C212yesmaximal, complemented
6#53691C214yesmaximal, complemented
7#53547C214yesmaximal, complemented
8#53144C212yesmaximal, complemented
9#53126C212yesmaximal, complemented
10#53049C212yesmaximal, complemented
11#52995C212yesmaximal, complemented
12#52445C214yesmaximal, complemented
13#42917C212yesmaximal, complemented
14#42900C212yesmaximal, complemented
15#42897C212yesmaximal, complemented
16#42639C212yesmaximal, complemented
17#41069C214yesmaximal, complemented
18#40194C212yesmaximal, complemented
19#40026C212yesmaximal, complemented
20#39765C212yesmaximal, complemented
21#39363C211yesmaximal, characteristic, complemented
22#39174C211yesmaximal, characteristic, complemented
23#39170C211yesmaximal, characteristic, complemented
24#39167C211yesmaximal, characteristic, complemented
25#37749C212yesmaximal, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37629C211yesmaximal, characteristic, complemented
28#37572C212yesmaximal, complemented
29#37500C212yesmaximal, complemented
30#36609C211yesmaximal, characteristic, complemented
31#36583C211yesmaximal, characteristic, complemented
32#36419C211yesmaximal, characteristic, complemented
33#34951C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×D4×Q8C2211yescharacteristic
42C2×#547C2212yes—
43C2×#536C2212yes—
44C2×#533C2212yes—
45#2862C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2850C2212yes—
50#2838C2214yes—
51#2837C2214yes—
52#2837C2214yes—
53#2835C2214yes—
54#2832C2214yes—
55#2832C2214yes—
56#2830C2214yes—
57#2830C2214yes—
58#2829C2214yes—
59#2827C2214yes—
60#2826C2214yes—
61#2824C2214yes—
62#2816C2214yes—
63#2814C2214yes—
64#2808C2214yes—
65#2808C2214yes—
66#2804C2214yes—
67#2803C2214yes—
68#2787C2214yes—
69#2786C2214yes—
70#2782C2214yes—
71#2781C2214yes—
72#2763C2214yes—
73#2753C2214yes—
74#2751C2214yes—
75#2745C2214yes—
76#2739C2214yes—
77#2725C2214yes—
78#2724C2214yes—
79#2724C2214yes—
80#2723C2214yes—
81#2723C2214yes—
82#2719C2214yes—
83#2719C2214yes—
84#2711C2214yes—
85#2711C2214yes—
86#2711C2214yes—
87#2708C2214yes—
88#2704C2214yes—
89#2704C2214yes—
90#2701C2214yes—
91#2701C2214yes—
92#2696C2214yes—
93#2694C2214yes—
94#2692C2214yes—
95#2690C2214yes—
96#2687C2214yes—
97#2682C2214yes—
98#2681C2214yes—
99#2681C2214yes—
100#2681C2214yes—
101#2663C2214yes—
102#2653C2214yes—
103#2653C2214yes—
104#2652C2214yes—
105#2651C2214yes—
106#2650C2214yes—
107#2649C2214yes—
108#2649C2214yes—
109#2648C2214yes—
110#2645C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2642C2212yes—
114#2641C2212yes—
115#2640C2212yes—
116#2640C2212yes—
117#2640C2212yes—
118#2640C2212yes—
119#2638C2214yes—
120#2628C2212yes—
121#2627C2214yes—
122#2625C2212yes—
123#2620C2212yes—
124#2597C2214yes—
125#2597C2214yes—
126#2597C2212yes—
127#2595C2212yes—
128#2592C2212yes—
129#2592C2212yes—
130#2592C2211yescharacteristic
131#2587C2214yes—
132#2587C2214yes—
133#2585C2212yes—
134#2585C2212yes—
135#2583C2214yes—
136#2582C2211yescharacteristic
137#2582C2211yescharacteristic
138#2580C2212yes—
139#2580C2211yescharacteristic
140#2574C2214yes—
141#2570C2211yescharacteristic
142#2568C2211yescharacteristic
143#2568C2211yescharacteristic
144#2567C2212yes—
145#2566C2212yes—
146#2565C2212yes—
147#2559C2214yes—
148#2559C2214yes—
149#2558C2214yes—
150#2556C2214yes—
151#2556C2214yes—
152#2552C2211yescharacteristic
153#2551C2211yescharacteristic
154#2550C2212yes—
155#2548C2212yes—
156#2548C2212yes—
157#2548C2211yescharacteristic
158#2548C2211yescharacteristic
159#2547C2212yes—
160#2547C2211yescharacteristic
161#2546C2211yescharacteristic
162#2546C2212yes—
163#2546C2211yescharacteristic
164#2545C2212yes—
165#2544C2212yes—
166#2544C2212yes—
167#2544C2212yes—
168#2544C2211yescharacteristic
169#2542C2211yescharacteristic
170#2541C2212yes—
171#2538C2211yescharacteristic
172#2538C2211yescharacteristic
173#2537C2212yes—
174#2519C2214yes—
175#2516C2212yes—
176#2513C2212yes—
177#2513C2212yes—
178#2513C2211yescharacteristic
179#2511C2211yescharacteristic
180#2511C2211yescharacteristic
181#2511C2211yescharacteristic
182#2509C2212yes—
183#2506C2212yes—
184#2500C2212yes—
185#2494C2212yes—
186#2492C2212yes—
187#2492C2212yes—
188#2490C2212yes—
189#2490C2214yes—
190#2490C2212yes—
191#2490C2214yes—
192#2489C2212yes—
193#2477C2214yes—
194#2476C2214yes—
195#2473C2214yes—
196#2471C2214yes—
197#2470C2214yes—
198#2465C2214yes—
199#2458C2214yes—
200#2458C2214yes—
201#2458C2212yes—
202#2454C2212yes—
203#2453C2212yes—
204#2453C2212yes—
205#2453C2212yes—
206#2452C2212yes—
207#2452C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2452C2212yes—
211#2451C2212yes—
212#2451C2212yes—
213#2448C2212yes—
214#2448C2212yes—
215#2448C2212yes—
216#2448C2212yes—
217#2447C2212yes—
218#2447C2212yes—
219#2447C2212yes—
220#2447C2212yes—
221#2447C2211yescharacteristic
222#2446C2212yes—
223#2446C2212yes—
224#2446C2212yes—
225#2446C2211yescharacteristic
226#2446C2211yescharacteristic
227#2445C2211yescharacteristic
228#2445C2212yes—
229#2445C2212yes—
230#2445C2212yes—
231#2445C2212yes—
232#2441C2212yes—
233#2436C2212yes—
234#2434C2212yes—
235#2432C2212yes—
236#2432C2212yes—
237#2432C2212yes—
238#2432C2212yes—
239#2429C2212yes—
240#2429C2212yes—
241#2429C2212yes—
242#2426C2212yes—
243#2426C2212yes—
244#2423C2212yes—
245#2416C2214yes—
246#2415C2212yes—
247#2415C2212yes—
248#2409C2212yes—
249#2409C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2402C2212yes—
253#2402C2212yes—
254#2398C2212yes—
255#2396C2214yes—
256#2395C2212yes—
257#2367C2212yes—
258#2367C2212yes—
259#2367C2212yes—
260#2367C2212yes—
261#2367C2212yes—
262#2362C2212yes—
263#2360C2214yes—
264#2357C2212yes—
265#2351C2212yes—
266D4×C4⋊C4C2212yes—
267#2341C2212yes—
268#2341C2212yes—
269Q8×C22⋊C4C2212yes—
270#2333C2214yes—
271#2327C2212yes—
272#2326C2212yes—
273#2326C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#123C2212yes—
288#2297C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2293C2212yes—
294#2293C2211yescharacteristic
295#2290C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#557—44no—
303#557—44no—
304#556—44no—
305#550—44no—
306#550—44no—
307D4×Q8—44no—
308#547—48no—
309#536—48no—
310#533—48no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2314yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
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×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C22×C4⋊C4C2314yes—
398C22×C42C2312yes—
399#401C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2312yes—
425#399C2314yes—
426#399C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2314yes—
531#392C2314yes—
532#392C2314yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2314yes—
553#391C2314yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2311yescharacteristic
561#391C2314yes—
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#382C2312yes—
747#382C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2314yes—
751#382C2312yes—
752#382C2312yes—
753#381C2314yes—
754#381C2314yes—
755#381C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2414yes—
836C22×Q8C2414yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C4⋊Q8—28no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—42no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867#127—24no—
868#127—42no—
869#127—44no—
870#127—44no—
871#126—48no—
872#125—44no—
873#125—44no—
874#125—44no—
875#125—48no—
876#125—48no—
877#125—48no—
878#124—28no—
879#124—24no—
880#124—44no—
881#124—42no—
882#124—44no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—44no—
887#124—44no—
888#123—48no—
889#123—44no—
890#123—48no—
891#123—48no—
892#123—48no—
893C22⋊Q8—28no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904#121—48no—
905#121—48no—
906#121—48no—
907#121—48no—
908#121—44no—
909#121—44no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—42no—
917C4×Q8—42no—
918C4×Q8—48no—
919C4×Q8—44no—
920C4×Q8—42no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939#117—44no—
940#117—48no—
941#117—44no—
942C2×C4⋊C4—48no—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C42—44no—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2514yes—
1182#41—816no—
1183#41—816no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—41no—
1203C2×Q8—41no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—816no—
1211C2×Q8H(5,𝔽2)14yes—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
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—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—28no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—42no—
1446C42—42no—
1447C42—41no—
1448C42—42no—
1449C42—41no—
1450C42—41no—
1451C42—44no—
1452C42—44no—
1453C42—42no—
1454C42—41no—
1455C42—41no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42—42no—
1460C42H(5,𝔽2)14yes—
1461C422−1+414yes—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—24no—
1467C23—24no—
1468C23—22no—
1469C23—24no—
1470C23—22no—
1471C23—24no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—24no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—24no—
1481C23—22no—
1482C23—22no—
1483C23C2611yescharacteristic
1484Q8—28no—
1485Q8—44no—
1486Q8—44no—
1487Q8—48no—
1488Q8—48no—
1489Q8—44no—
1490Q8—44no—
1491Q8—88no—
1492Q8—88no—
1493D4—44no—
1494D4—44no—
1495D4—48no—
1496D4—48no—
1497D4—84no—
1498D4—84no—
1499D4—88no—
1500D4—84no—
1501D4—88no—
1502D4—164no—
1503D4—164no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—48no—
1590C2×C4—48no—
1591C2×C4—48no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—84no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4C2×H(5,𝔽2)14yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4#58512yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C22—42no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—42no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—44no—
1629C22C22×H(5,𝔽2)11yescharacteristic
1630C22C22×H(5,𝔽2)11yescharacteristic
1631C22C22×2−1+411yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C222−1+611yescharacteristic
1636C4—24no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—44no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—41no—
1666C4#355414yes—
1667C4#355814yes—
1668C2—82no—
1669C2—82no—
1670C2—84no—
1671C2C2×#355811yescharacteristic
1672C2C2×#355411yescharacteristic
1673C2#6276111yescharacteristic
1674C2#6291311yescharacteristic
1675C2#6293111yescharacteristic
1676C2#6296711yescharacteristic
1677C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59815C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #59653C2semidirect
3. #59460C2semidirect
4. #59413C2semidirect
5. #59098C2semidirect
6. #53691C2semidirect
7. #53547C2semidirect
8. #53144C2semidirect
9. #53126C2semidirect
10. #53049C2semidirect
11. #52995C2semidirect
12. #52445C2semidirect
13. #42917C2semidirect
14. #42900C2semidirect
15. #42897C2semidirect
16. #42639C2semidirect
17. #41069C2semidirect
18. #40194C2semidirect
19. #40026C2semidirect
20. #39765C2semidirect
21. #39363C2semidirect
22. #39174C2semidirect
23. #39170C2semidirect
24. #39167C2semidirect
25. #37749C2semidirect
26. #37631C2semidirect
27. #37629C2semidirect
28. #37572C2semidirect
29. #37500C2semidirect
30. #36609C2semidirect
31. #36583C2semidirect
32. #36419C2semidirect
33. #34951C2semidirect
34. #34929C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#598152
#596532
#594602
#594132
#590982
#536912
#535472
#531442
#531262
#530492
#529952
#524452
#429172
#429002
#428972
#426392
#410692
#401942
#400262
#397652
#393632
#391742
#391702
#391672
#377492
#376312
#376292
#375722
#375002
#366092
#365832
#364192
#349512
#349292
#349182