Finite Group Databasebeta

← #8464305

Subgroups — #8464305

Order 512.

4397 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59655C211yesmaximal, characteristic, complemented
2#59256C211yesmaximal, characteristic, complemented
3#59211C211yesmaximal, characteristic, complemented
4#57238C214yesmaximal, complemented
5#54943C214yesmaximal, complemented
6#53730C214yesmaximal, complemented
7#53054C212yesmaximal, complemented
8#53050C212yesmaximal, complemented
9#51257C214yesmaximal, complemented
10#46180C212yesmaximal, complemented
11#45650C212yesmaximal, complemented
12#45415C212yesmaximal, complemented
13#45133C212yesmaximal, complemented
14#42839C212yesmaximal, complemented
15#42735C212yesmaximal, complemented
16#42731C212yesmaximal, complemented
17#42658C212yesmaximal, complemented
18#40216C212yesmaximal, complemented
19#39820C212yesmaximal, complemented
20#39783C212yesmaximal, complemented
21#39597C211yesmaximal, characteristic, complemented
22#39505C211yesmaximal, characteristic, complemented
23#39186C212yesmaximal, complemented
24#39126C211yesmaximal, characteristic, complemented
25#38921C211yesmaximal, characteristic, complemented
26#37622C211yesmaximal, characteristic, complemented
27#37350C212yesmaximal, complemented
28#37311C212yesmaximal, complemented
29#36563C211yesmaximal, characteristic, complemented
30#36456C211yesmaximal, characteristic, complemented
31#36194C211yesmaximal, characteristic, complemented
32#35189C211yesmaximal, characteristic, complemented
33#35185C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2868C2211yescharacteristic
43#2864C2212yes—
44#2860C2212yes—
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2851C2212yes—
50#2850C2212yes—
51#2836C2214yes—
52#2832C2214yes—
53#2832C2214yes—
54#2831C2214yes—
55#2831C2214yes—
56#2830C2214yes—
57#2829C2214yes—
58#2814C2214yes—
59#2808C2214yes—
60#2803C2214yes—
61#2803C2214yes—
62#2802C2214yes—
63#2802C2214yes—
64#2800C2214yes—
65#2800C2214yes—
66#2800C2214yes—
67#2798C2214yes—
68#2795C2214yes—
69#2792C2214yes—
70#2788C2214yes—
71#2788C2214yes—
72#2785C2214yes—
73#2783C2214yes—
74#2782C2214yes—
75#2779C2214yes—
76#2779C2214yes—
77#2775C2214yes—
78#2772C2214yes—
79#2770C2214yes—
80#2768C2214yes—
81#2766C2214yes—
82#2765C2214yes—
83#2764C2214yes—
84#2763C2214yes—
85#2757C2214yes—
86#2755C2214yes—
87#2755C2214yes—
88#2731C2214yes—
89#2729C2214yes—
90#2729C2214yes—
91#2723C2214yes—
92#2720C2214yes—
93#2718C2214yes—
94#2713C2214yes—
95#2713C2214yes—
96#2711C2214yes—
97#2710C2214yes—
98#2707C2214yes—
99#2702C2214yes—
100#2700C2214yes—
101#2698C2214yes—
102#2686C2214yes—
103#2681C2214yes—
104#2681C2214yes—
105#2680C2214yes—
106#2677C2214yes—
107#2674C2214yes—
108#2664C2214yes—
109#2662C2214yes—
110#2661C2214yes—
111#2653C2214yes—
112#2651C2214yes—
113#2650C2214yes—
114#2640C2214yes—
115#2630C2214yes—
116#2629C2212yes—
117#2628C2212yes—
118#2628C2212yes—
119#2625C2212yes—
120#2625C2212yes—
121#2624C2212yes—
122#2621C2212yes—
123#2620C2212yes—
124#2601C2214yes—
125#2595C2214yes—
126#2593C2214yes—
127#2592C2212yes—
128#2587C2214yes—
129#2584C2212yes—
130#2582C2211yescharacteristic
131#2582C2211yescharacteristic
132#2582C2211yescharacteristic
133#2581C2212yes—
134#2576C2214yes—
135#2571C2211yescharacteristic
136#2571C2212yes—
137#2570C2212yes—
138#2570C2212yes—
139#2567C2211yescharacteristic
140#2567C2212yes—
141#2563C2212yes—
142#2563C2212yes—
143#2563C2211yescharacteristic
144#2562C2212yes—
145#2560C2212yes—
146#2558C2212yes—
147#2552C2212yes—
148#2552C2212yes—
149#2551C2212yes—
150#2550C2212yes—
151#2550C2211yescharacteristic
152#2550C2214yes—
153#2546C2212yes—
154#2545C2211yescharacteristic
155#2540C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2212yes—
158#2538C2211yescharacteristic
159#2538C2212yes—
160#2538C2211yescharacteristic
161#2537C2211yescharacteristic
162#2537C2212yes—
163#2536C2212yes—
164#2536C2212yes—
165#2536C2211yescharacteristic
166#2532C2214yes—
167#2529C2214yes—
168#2529C2214yes—
169#2528C2214yes—
170#2525C2214yes—
171#2525C2214yes—
172#2525C2214yes—
173#2522C2214yes—
174#2519C2212yes—
175#2514C2212yes—
176#2513C2212yes—
177#2513C2212yes—
178#2511C2214yes—
179#2509C2212yes—
180#2508C2214yes—
181#2508C2212yes—
182#2507C2214yes—
183#2500C2212yes—
184#2500C2212yes—
185#2499C2212yes—
186#2497C2212yes—
187#2497C2212yes—
188#2497C2212yes—
189#2496C2212yes—
190#2495C2212yes—
191#2494C2212yes—
192#2492C2212yes—
193#2492C2212yes—
194#2492C2212yes—
195#2492C2212yes—
196#2492C2212yes—
197#2491C2212yes—
198#2491C2212yes—
199#2491C2211yescharacteristic
200#2489C2212yes—
201#2489C2211yescharacteristic
202#2486C2212yes—
203#2485C2212yes—
204#2485C2212yes—
205#2478C2212yes—
206#2470C2212yes—
207#2469C2214yes—
208#2466C2212yes—
209#2461C2212yes—
210#2455C2212yes—
211#2453C2212yes—
212#2453C2211yescharacteristic
213#2452C2212yes—
214#2452C2214yes—
215#2452C2212yes—
216#2451C2212yes—
217#2451C2212yes—
218#2447C2212yes—
219#2447C2211yescharacteristic
220#2446C2212yes—
221#2442C2212yes—
222#2441C2211yescharacteristic
223#2440C2212yes—
224#2439C2212yes—
225#2439C2214yes—
226#2439C2212yes—
227#2439C2212yes—
228#2439C2212yes—
229#2432C2211yescharacteristic
230#2429C2212yes—
231#2429C2214yes—
232#2429C2211yescharacteristic
233#2429C2211yescharacteristic
234#2426C2211yescharacteristic
235#2426C2212yes—
236#2423C2212yes—
237#2422C2212yes—
238#2422C2211yescharacteristic
239#2421C2212yes—
240#2421C2212yes—
241#2416C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2415C2212yes—
245#2415C2211yescharacteristic
246#2415C2212yes—
247#2414C2212yes—
248#2407C2211yescharacteristic
249#2407C2212yes—
250#2396C2212yes—
251#2395C2212yes—
252#2392C2212yes—
253#2392C2212yes—
254#2378C2214yes—
255#2369C2212yes—
256#2369C2212yes—
257#2367C2212yes—
258#2362C2212yes—
259#2360C2212yes—
260#2356C2212yes—
261#2355C2212yes—
262#2355C2212yes—
263#2355C2211yescharacteristic
264#2354C2211yescharacteristic
265#2354C2212yes—
266#2351C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269#2347C2212yes—
270#2346C2212yes—
271#2341C2212yes—
272#2334C2214yes—
273#2324C2212yes—
274#2324C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277#2323C2212yes—
278#2317C2212yes—
279#2314C2212yes—
280#2314C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2212yes—
284C4×#124C2211yescharacteristic
285C4×#124C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#123C2212yes—
291C4×#121C2211yescharacteristic
292#2296C2212yes—
293#2293C2212yes—
294#2293C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300Q82—44no—
301#554—44no—
302#533—44no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314#529—44no—
315#529—44no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2314yes—
356C4×#41—44no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2312yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2312yes—
484#395C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2312yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#392C2312yes—
519#392C2314yes—
520#392C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#391C2311yescharacteristic
545#391C2314yes—
546#391C2311yescharacteristic
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2314yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
695#387C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2314yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#383C2314yes—
729#383C2314yes—
730#382C2314yes—
731#382C2312yes—
732#382C2314yes—
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#382C2314yes—
743#381C2314yes—
744#381C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—24no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—42no—
854C4⋊Q8—48no—
855C4⋊Q8—84no—
856C4⋊Q8—82no—
857#126—48no—
858#126—44no—
859#126—44no—
860#125—42no—
861#125—42no—
862#125—44no—
863#125—44no—
864#125—84no—
865#124—24no—
866#124—44no—
867#124—42no—
868#124—42no—
869#124—84no—
870#123—44no—
871#123—44no—
872#123—44no—
873#123—84no—
874C22⋊Q8—24no—
875C22⋊Q8—28no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—44no—
879C22⋊Q8—42no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—42no—
883C22⋊Q8—42no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—44no—
888C22⋊Q8—82no—
889C22⋊Q8—84no—
890C22⋊Q8—82no—
891#121—44no—
892#121—42no—
893#121—44no—
894#121—42no—
895#121—42no—
896#121—84no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922#117—28no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—42no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C42—24no—
1066C2×C42—24no—
1067C2×C42—44no—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24C2512yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q82−1+414yes—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—42no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—41no—
1452C42H(5,𝔽2)14yes—
1453C422−1+414yes—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23C2611yescharacteristic
1483Q8—28no—
1484Q8—44no—
1485Q8—44no—
1486Q8—44no—
1487Q8—84no—
1488Q8—84no—
1489Q8—164no—
1490Q8—164no—
1491D4—44no—
1492D4—48no—
1493D4—44no—
1494D4—44no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—164no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—48no—
1588C2×C4—82no—
1589C2×C4—82no—
1590C2×C4—84no—
1591C2×C4—164no—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+414yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4C2×2−1+412yes—
1600C2×C4#58512yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C22—42no—
1604C22—41no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—41no—
1610C22—42no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—42no—
1618C22—42no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—41no—
1631C22C22×H(5,𝔽2)11yescharacteristic
1632C22C22×2−1+411yescharacteristic
1633C22C22×2−1+411yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22H(7,𝔽2)11yescharacteristic
1638C4—24no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—44no—
1665C4—44no—
1666C4—41no—
1667C4#354114yes—
1668C4#354714yes—
1669C2—81no—
1670C2—82no—
1671C2—81no—
1672C2—82no—
1673C2C2×#354111yescharacteristic
1674C2C2×#354711yescharacteristic
1675C2#6283811yescharacteristic
1676C2#6293011yescharacteristic
1677C2#6294311yescharacteristic
1678C2#6296611yescharacteristic
1679C2#6303311yescharacteristic
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. #59655C2semidirect
2. #59256C2semidirect
3. #59211C2semidirect
4. #57238C2semidirect
5. #54943C2semidirect
6. #53730C2semidirect
7. #53054C2semidirect
8. #53050C2semidirect
9. #51257C2semidirect
10. #46180C2semidirect
11. #45650C2semidirect
12. #45415C2semidirect
13. #45133C2semidirect
14. #42839C2semidirect
15. #42735C2semidirect
16. #42731C2semidirect
17. #42658C2semidirect
18. #40216C2semidirect
19. #39820C2semidirect
20. #39783C2semidirect
21. #39597C2semidirect
22. #39505C2semidirect
23. #39186C2semidirect
24. #39126C2semidirect
25. #38921C2semidirect
26. #37622C2semidirect
27. #37350C2semidirect
28. #37311C2semidirect
29. #36563C2semidirect
30. #36456C2semidirect
31. #36194C2semidirect
32. #35189C2semidirect
33. #35185C2semidirect
34. #34919C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#596552
#592562
#592112
#572382
#549432
#537302
#530542
#530502
#512572
#461802
#456502
#454152
#451332
#428392
#427352
#427312
#426582
#402162
#398202
#397832
#395972
#395052
#391862
#391262
#389212
#376222
#373502
#373112
#365632
#364562
#361942
#351892
#351852
#349192
#347242