Finite Group Databasebeta

← #8461319

Subgroups — #8461319

Order 512.

4440 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59653C211yesmaximal, characteristic, complemented
2#59305C211yesmaximal, characteristic, complemented
3#59249C211yesmaximal, characteristic, complemented
4#58127C214yesmaximal, complemented
5#57561C214yesmaximal, complemented
6#55481C214yesmaximal, complemented
7#53141C212yesmaximal, complemented
8#53006C212yesmaximal, complemented
9#48468C214yesmaximal, complemented
10#46331C212yesmaximal, complemented
11#45605C212yesmaximal, complemented
12#45190C212yesmaximal, complemented
13#45122C212yesmaximal, complemented
14#42904C212yesmaximal, complemented
15#42726C212yesmaximal, complemented
16#42520C212yesmaximal, complemented
17#42449C212yesmaximal, complemented
18#40020C212yesmaximal, complemented
19#39727C211yesmaximal, characteristic, complemented
20#39724C211yesmaximal, characteristic, complemented
21#39656C212yesmaximal, complemented
22#39563C212yesmaximal, complemented
23#39468C211yesmaximal, characteristic, complemented
24#39192C211yesmaximal, characteristic, complemented
25#38218C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37402C212yesmaximal, complemented
28#37393C212yesmaximal, complemented
29#36505C211yesmaximal, characteristic, complemented
30#36299C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#35280C211yesmaximal, characteristic, complemented
33#35184C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2863C2212yes—
43#2863C2212yes—
44#2861C2212yes—
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2851C2212yes—
51#2843C2214yes—
52#2837C2214yes—
53#2837C2214yes—
54#2836C2214yes—
55#2831C2214yes—
56#2827C2214yes—
57#2826C2214yes—
58#2820C2214yes—
59#2809C2214yes—
60#2805C2214yes—
61#2800C2214yes—
62#2800C2214yes—
63#2800C2214yes—
64#2799C2214yes—
65#2797C2214yes—
66#2795C2214yes—
67#2791C2214yes—
68#2791C2214yes—
69#2790C2214yes—
70#2788C2214yes—
71#2786C2214yes—
72#2783C2214yes—
73#2781C2214yes—
74#2781C2214yes—
75#2781C2214yes—
76#2780C2214yes—
77#2779C2214yes—
78#2779C2214yes—
79#2777C2214yes—
80#2774C2214yes—
81#2774C2214yes—
82#2774C2214yes—
83#2772C2214yes—
84#2770C2214yes—
85#2768C2214yes—
86#2768C2214yes—
87#2767C2214yes—
88#2756C2214yes—
89#2756C2214yes—
90#2751C2214yes—
91#2750C2214yes—
92#2744C2214yes—
93#2742C2214yes—
94#2741C2214yes—
95#2741C2214yes—
96#2727C2214yes—
97#2725C2214yes—
98#2725C2214yes—
99#2725C2214yes—
100#2719C2214yes—
101#2715C2214yes—
102#2715C2214yes—
103#2702C2214yes—
104#2691C2214yes—
105#2690C2214yes—
106#2689C2214yes—
107#2674C2214yes—
108#2667C2214yes—
109#2654C2214yes—
110#2654C2214yes—
111#2649C2214yes—
112#2648C2214yes—
113#2636C2214yes—
114#2629C2214yes—
115#2625C2212yes—
116#2624C2212yes—
117#2624C2212yes—
118#2621C2212yes—
119#2620C2214yes—
120#2620C2212yes—
121#2616C2212yes—
122#2616C2212yes—
123#2616C2212yes—
124#2601C2214yes—
125#2592C2212yes—
126#2588C2214yes—
127#2582C2211yescharacteristic
128#2582C2211yescharacteristic
129#2582C2212yes—
130#2582C2212yes—
131#2581C2212yes—
132#2579C2214yes—
133#2574C2214yes—
134#2570C2212yes—
135#2568C2212yes—
136#2568C2211yescharacteristic
137#2567C2212yes—
138#2566C2212yes—
139#2562C2212yes—
140#2560C2214yes—
141#2556C2212yes—
142#2556C2212yes—
143#2552C2211yescharacteristic
144#2551C2211yescharacteristic
145#2550C2212yes—
146#2548C2212yes—
147#2547C2212yes—
148#2547C2211yescharacteristic
149#2546C2211yescharacteristic
150#2545C2212yes—
151#2544C2212yes—
152#2542C2212yes—
153#2542C2211yescharacteristic
154#2538C2211yescharacteristic
155#2538C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2211yescharacteristic
158#2538C2211yescharacteristic
159#2538C2212yes—
160#2538C2211yescharacteristic
161#2536C2212yes—
162#2536C2212yes—
163#2525C2214yes—
164#2522C2214yes—
165#2519C2214yes—
166#2515C2214yes—
167#2513C2212yes—
168#2512C2212yes—
169#2511C2212yes—
170#2511C2212yes—
171#2509C2212yes—
172#2509C2212yes—
173#2509C2212yes—
174#2507C2214yes—
175#2507C2212yes—
176#2507C2212yes—
177#2507C2212yes—
178#2506C2212yes—
179#2502C2212yes—
180#2497C2212yes—
181#2497C2212yes—
182#2497C2214yes—
183#2496C2212yes—
184#2496C2212yes—
185#2496C2212yes—
186#2495C2212yes—
187#2495C2212yes—
188#2492C2211yescharacteristic
189#2492C2211yescharacteristic
190#2489C2212yes—
191#2489C2212yes—
192#2489C2212yes—
193#2487C2212yes—
194#2485C2212yes—
195#2485C2214yes—
196#2478C2214yes—
197#2477C2214yes—
198#2476C2212yes—
199#2475C2214yes—
200#2475C2214yes—
201#2474C2214yes—
202#2474C2212yes—
203#2467C2214yes—
204#2460C2214yes—
205#2459C2214yes—
206#2459C2212yes—
207#2456C2212yes—
208#2453C2212yes—
209#2452C2212yes—
210#2451C2212yes—
211#2451C2211yescharacteristic
212#2448C2212yes—
213#2448C2212yes—
214#2447C2212yes—
215#2446C2212yes—
216#2446C2212yes—
217#2446C2212yes—
218#2445C2211yescharacteristic
219#2442C2212yes—
220#2442C2212yes—
221#2441C2212yes—
222#2441C2212yes—
223#2439C2212yes—
224#2439C2211yescharacteristic
225#2432C2212yes—
226#2431C2211yescharacteristic
227#2429C2212yes—
228#2429C2212yes—
229#2429C2211yescharacteristic
230#2429C2212yes—
231#2429C2211yescharacteristic
232#2427C2212yes—
233#2426C2212yes—
234#2426C2211yescharacteristic
235#2423C2212yes—
236#2423C2212yes—
237#2421C2212yes—
238#2421C2212yes—
239#2421C2212yes—
240#2420C2211yescharacteristic
241#2417C2212yes—
242#2417C2212yes—
243#2417C2212yes—
244#2417C2212yes—
245#2417C2214yes—
246#2417C2212yes—
247#2415C2212yes—
248#2414C2211yescharacteristic
249#2407C2211yescharacteristic
250#2396C2212yes—
251#2396C2212yes—
252#2392C2212yes—
253#2388C2212yes—
254#2381C2214yes—
255#2370C2212yes—
256#2367C2212yes—
257#2362C2212yes—
258#2362C2212yes—
259#2361C2212yes—
260#2360C2212yes—
261#2360C2212yes—
262#2355C2211yescharacteristic
263#2355C2212yes—
264#2355C2211yescharacteristic
265#2352C2212yes—
266#2351C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270#2345C2212yes—
271#2344C2212yes—
272#2335C2214yes—
273#2323C2212yes—
274#2323C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277#2316C2212yes—
278#2314C2212yes—
279#2311C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2212yes—
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289C4×#123C2212yes—
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2293C2211yescharacteristic
293#2293C2212yes—
294#2293C2212yes—
295#2285C2211yescharacteristic
296C2×#384C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#557—44no—
302#556—44no—
303#533—44no—
304#533—44no—
305#532—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C4×#41—44no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2312yes—
484#396C2312yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2312yes—
490#395C2312yes—
491#395C2314yes—
492#395C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#393C2312yes—
514#393C2312yes—
515#393C2314yes—
516#393C2312yes—
517#392C2312yes—
518#392C2312yes—
519#392C2312yes—
520#392C2312yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
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#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
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#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2314yes—
726#384C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2311yescharacteristic
732#383C2314yes—
733#383C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2314yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2314yes—
743#381C2314yes—
744#381C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—24no—
817C2×#41—44no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—42no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C4⋊Q8—28no—
852C4⋊Q8—24no—
853C4⋊Q8—42no—
854C4⋊Q8—42no—
855C4⋊Q8—42no—
856C4⋊Q8—42no—
857C4⋊Q8—42no—
858C4⋊Q8—42no—
859C4⋊Q8—44no—
860#127—42no—
861#126—48no—
862#126—84no—
863#126—84no—
864#125—44no—
865#125—44no—
866#125—44no—
867#125—44no—
868#125—48no—
869#125—82no—
870#124—44no—
871#124—44no—
872#124—42no—
873#124—44no—
874#124—84no—
875#123—28no—
876C22⋊Q8—28no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885C22⋊Q8—44no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892C22⋊Q8—44no—
893C22⋊Q8—84no—
894#121—24no—
895#121—44no—
896#121—42no—
897#121—42no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—84no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—42no—
929#117—44no—
930#117—84no—
931#117—82no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—82no—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C42—24no—
1069C2×C42—24no—
1070C2×C42—44no—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
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—
1171#95C2414yes—
1172#95C2414yes—
1173C24C2512yes—
1174C24C2512yes—
1175C24C2511yescharacteristic
1176C24C2511yescharacteristic
1177#41—416no—
1178#41—816no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—42no—
1215C2×D4—41no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C42−1+414yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—41no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C42−1+414yes—
1377C22⋊C4—22no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—24no—
1444C42—22no—
1445C42—24no—
1446C42—22no—
1447C42—42no—
1448C42—42no—
1449C42—44no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—42no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—44no—
1459C42—41no—
1460C42H(5,𝔽2)14yes—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23C2×2−1+412yes—
1489C23C2611yescharacteristic
1490Q8—48no—
1491Q8—44no—
1492Q8—44no—
1493Q8—44no—
1494Q8—44no—
1495Q8—84no—
1496Q8—84no—
1497Q8—84no—
1498D4—44no—
1499D4—48no—
1500D4—48no—
1501D4—44no—
1502D4—44no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
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—21no—
1516C2×C4—21no—
1517C2×C4—28no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—44no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—164no—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4C2×2−1+412yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—42no—
1640C22C22×H(5,𝔽2)11yescharacteristic
1641C22C22×2−1+411yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22H(7,𝔽2)11yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—42no—
1654C4—44no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—44no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—44no—
1675C4—44no—
1676C4#354114yes—
1677C4#355114yes—
1678C2—42no—
1679C2—82no—
1680C2—81no—
1681C2—82no—
1682C2C2×#354111yescharacteristic
1683C2C2×#355111yescharacteristic
1684C2#6283711yescharacteristic
1685C2#6292611yescharacteristic
1686C2#6294411yescharacteristic
1687C2#6296911yescharacteristic
1688C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34715C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59653C2semidirect
2. #59305C2semidirect
3. #59249C2semidirect
4. #58127C2semidirect
5. #57561C2semidirect
6. #55481C2semidirect
7. #53141C2semidirect
8. #53006C2semidirect
9. #48468C2semidirect
10. #46331C2semidirect
11. #45605C2semidirect
12. #45190C2semidirect
13. #45122C2semidirect
14. #42904C2semidirect
15. #42726C2semidirect
16. #42520C2semidirect
17. #42449C2semidirect
18. #40020C2semidirect
19. #39727C2semidirect
20. #39724C2semidirect
21. #39656C2semidirect
22. #39563C2semidirect
23. #39468C2semidirect
24. #39192C2semidirect
25. #38218C2semidirect
26. #37640C2semidirect
27. #37402C2semidirect
28. #37393C2semidirect
29. #36505C2semidirect
30. #36299C2semidirect
31. #36189C2semidirect
32. #35280C2semidirect
33. #35184C2semidirect
34. #34929C2semidirect

Maximal subgroups

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

subgroupindex
#596532
#593052
#592492
#581272
#575612
#554812
#531412
#530062
#484682
#463312
#456052
#451902
#451222
#429042
#427262
#425202
#424492
#400202
#397272
#397242
#396562
#395632
#394682
#391922
#382182
#376402
#374022
#373932
#365052
#362992
#361892
#352802
#351842
#349292
#347152