Finite Group Databasebeta

← #8458722

Subgroups — #8458722

Order 512.

4996 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59419C211yesmaximal, characteristic, complemented
2#59329C211yesmaximal, characteristic, complemented
3#59212C211yesmaximal, characteristic, complemented
4#57881C214yesmaximal, complemented
5#57573C214yesmaximal, complemented
6#55154C214yesmaximal, complemented
7#53128C212yesmaximal, complemented
8#52970C212yesmaximal, complemented
9#49735C214yesmaximal, complemented
10#45716C212yesmaximal, complemented
11#45513C212yesmaximal, complemented
12#45092C212yesmaximal, complemented
13#45020C212yesmaximal, complemented
14#42706C212yesmaximal, complemented
15#42598C212yesmaximal, complemented
16#42584C212yesmaximal, complemented
17#42433C212yesmaximal, complemented
18#40030C212yesmaximal, complemented
19#39929C212yesmaximal, complemented
20#39725C211yesmaximal, characteristic, complemented
21#39341C211yesmaximal, characteristic, complemented
22#39138C211yesmaximal, characteristic, complemented
23#38977C211yesmaximal, characteristic, complemented
24#38116C212yesmaximal, complemented
25#37975C212yesmaximal, complemented
26#37622C211yesmaximal, characteristic, complemented
27#37418C212yesmaximal, complemented
28#37332C212yesmaximal, complemented
29#36410C211yesmaximal, characteristic, complemented
30#36182C211yesmaximal, characteristic, complemented
31#36174C211yesmaximal, characteristic, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#537C2212yes—
40C2×#537C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2829C2214yes—
55#2828C2214yes—
56#2827C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2815C2214yes—
60#2814C2214yes—
61#2814C2214yes—
62#2803C2214yes—
63#2797C2214yes—
64#2794C2214yes—
65#2781C2214yes—
66#2778C2214yes—
67#2778C2214yes—
68#2778C2214yes—
69#2777C2214yes—
70#2765C2214yes—
71#2765C2214yes—
72#2761C2214yes—
73#2760C2214yes—
74#2759C2214yes—
75#2752C2214yes—
76#2750C2214yes—
77#2749C2214yes—
78#2749C2214yes—
79#2743C2214yes—
80#2739C2214yes—
81#2728C2214yes—
82#2728C2214yes—
83#2723C2214yes—
84#2714C2214yes—
85#2714C2214yes—
86#2711C2214yes—
87#2709C2214yes—
88#2703C2214yes—
89#2703C2214yes—
90#2699C2214yes—
91#2699C2214yes—
92#2699C2214yes—
93#2699C2214yes—
94#2699C2214yes—
95#2696C2214yes—
96#2689C2214yes—
97#2688C2214yes—
98#2688C2214yes—
99#2688C2214yes—
100#2688C2214yes—
101#2688C2214yes—
102#2686C2214yes—
103#2676C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2675C2214yes—
107#2673C2214yes—
108#2673C2214yes—
109#2673C2214yes—
110#2671C2214yes—
111#2664C2214yes—
112#2648C2214yes—
113#2648C2214yes—
114#2648C2214yes—
115#2645C2212yes—
116#2643C2214yes—
117#2635C2214yes—
118#2628C2212yes—
119#2625C2212yes—
120#2624C2212yes—
121#2621C2212yes—
122#2620C2214yes—
123#2619C2212yes—
124#2619C2212yes—
125#2619C2214yes—
126#2615C2212yes—
127#2610C2214yes—
128#2595C2214yes—
129#2592C2212yes—
130#2584C2212yes—
131#2582C2211yescharacteristic
132#2582C2211yescharacteristic
133#2580C2212yes—
134#2571C2211yescharacteristic
135#2570C2212yes—
136#2570C2212yes—
137#2566C2212yes—
138#2559C2214yes—
139#2559C2212yes—
140#2557C2212yes—
141#2557C2214yes—
142#2550C2211yescharacteristic
143#2548C2211yescharacteristic
144#2548C2212yes—
145#2544C2211yescharacteristic
146#2543C2214yes—
147#2541C2212yes—
148#2541C2212yes—
149#2541C2211yescharacteristic
150#2541C2212yes—
151#2540C2212yes—
152#2540C2211yescharacteristic
153#2538C2211yescharacteristic
154#2538C2211yescharacteristic
155#2538C2211yescharacteristic
156#2538C2212yes—
157#2537C2211yescharacteristic
158#2537C2211yescharacteristic
159#2537C2212yes—
160#2535C2212yes—
161#2535C2211yescharacteristic
162#2535C2212yes—
163#2527C2214yes—
164#2526C2214yes—
165#2526C2214yes—
166#2526C2214yes—
167#2521C2212yes—
168#2518C2214yes—
169#2513C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2511C2212yes—
173#2511C2212yes—
174#2508C2212yes—
175#2505C2214yes—
176#2504C2212yes—
177#2504C2212yes—
178#2503C2212yes—
179#2503C2212yes—
180#2503C2212yes—
181#2500C2212yes—
182#2495C2212yes—
183#2494C2212yes—
184#2494C2212yes—
185#2494C2212yes—
186#2492C2211yescharacteristic
187#2491C2212yes—
188#2490C2211yescharacteristic
189#2490C2212yes—
190#2490C2212yes—
191#2489C2212yes—
192#2489C2212yes—
193#2488C2214yes—
194#2485C2212yes—
195#2484C2214yes—
196#2477C2212yes—
197#2476C2214yes—
198#2475C2212yes—
199#2471C2214yes—
200#2464C2214yes—
201#2464C2212yes—
202#2463C2212yes—
203#2460C2212yes—
204#2457C2214yes—
205#2452C2211yescharacteristic
206#2452C2212yes—
207#2447C2212yes—
208#2446C2211yescharacteristic
209#2445C2212yes—
210#2445C2212yes—
211#2444C2214yes—
212#2442C2212yes—
213#2439C2211yescharacteristic
214#2432C2211yescharacteristic
215#2432C2212yes—
216#2431C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2431C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2211yescharacteristic
223#2428C2212yes—
224#2428C2212yes—
225#2427C2211yescharacteristic
226#2427C2212yes—
227#2427C2211yescharacteristic
228#2422C2212yes—
229#2422C2212yes—
230#2421C2211yescharacteristic
231#2420C2212yes—
232#2420C2212yes—
233#2420C2214yes—
234#2420C2212yes—
235#2420C2212yes—
236#2416C2214yes—
237#2416C2212yes—
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2415C2211yescharacteristic
243#2415C2212yes—
244#2415C2212yes—
245#2414C2212yes—
246#2414C2214yes—
247#2414C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2398C2212yes—
254#2395C2212yes—
255#2392C2212yes—
256#2388C2212yes—
257#2376C2214yes—
258#2367C2212yes—
259#2363C2212yes—
260#2363C2212yes—
261#2363C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2355C2211yescharacteristic
265#2355C2211yescharacteristic
266#2354C2211yescharacteristic
267#2352C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269#2346C2212yes—
270#2344C2212yes—
271#2344C2212yes—
272#2339C2212yes—
273#2339C2212yes—
274#2333C2214yes—
275#2328C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2319C2212yes—
279#2319C2212yes—
280#2311C2212yes—
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2297C2212yes—
291#2297C2212yes—
292#2295C2211yescharacteristic
293#2290C2212yes—
294#2285C2211yescharacteristic
295C2×#384C2211yescharacteristic
296#2283C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303#553—48no—
304#550—44no—
305#550—44no—
306#537—48no—
307#537—48no—
308#533—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2314yes—
319#529—44no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C4×#41—44no—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2314yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2312yes—
423#401C2314yes—
424#401C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2312yes—
439#400C2314yes—
440#399C2312yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#397C2312yes—
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#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#393C2312yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2314yes—
526#393C2312yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2312yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#391C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2312yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#384C2311yescharacteristic
732#384C2312yes—
733#384C2312yes—
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2312yes—
737#383C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2314yes—
745#382C2314yes—
746#382C2311yescharacteristic
747#382C2311yescharacteristic
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2314yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C4⋊Q8—42no—
880C4⋊Q8—42no—
881C4⋊Q8—42no—
882#127—24no—
883#127—44no—
884#127—42no—
885#127—44no—
886#127—44no—
887#127—84no—
888#126—44no—
889#126—48no—
890#125—42no—
891#125—44no—
892#125—44no—
893#124—44no—
894#124—42no—
895#124—44no—
896#124—42no—
897#124—42no—
898#124—84no—
899#123—48no—
900#123—48no—
901#123—44no—
902#123—84no—
903C22⋊Q8—24no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—42no—
910C22⋊Q8—42no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—48no—
914C22⋊Q8—44no—
915#121—28no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—48no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—42no—
930#121—44no—
931#121—42no—
932#121—42no—
933#121—42no—
934#121—42no—
935#121—44no—
936#121—44no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—84no—
946#121—84no—
947#121—82no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×Q8—44no—
952C4×Q8—42no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—44no—
958C4×D4—42no—
959C4×D4—42no—
960C4×D4—44no—
961C4×D4—42no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—42no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—82no—
975#117—44no—
976#117—44no—
977#117—44no—
978#117—44no—
979#117—42no—
980#117—44no—
981#117—84no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—82no—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C42—24no—
1114C2×C42—24no—
1115C2×C42—44no—
1116C2×C42—44no—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2511yescharacteristic
1206C24C2512yes—
1207C24C2514yes—
1208C24C2512yes—
1209C24C2512yes—
1210C24C2511yescharacteristic
1211#41—416no—
1212#41—816no—
1213#41—816no—
1214#41—816no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—42no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—28no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—42no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4H(5,𝔽2)14yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2514yes—
1374C22×C4C2514yes—
1375C22×C4C2514yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—41no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C22⋊C4—22no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—22no—
1449C22⋊C4—28no—
1450C22⋊C4—22no—
1451C22⋊C4—28no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—41no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—22no—
1525C42—22no—
1526C42—24no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—42no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C42—44no—
1538C42—41no—
1539C42—41no—
1540C42H(5,𝔽2)14yes—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—21no—
1549C23—24no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—24no—
1557C23—24no—
1558C23—21no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—21no—
1568C23—24no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—21no—
1582C23C2×H(5,𝔽2)12yes—
1583C23C2611yescharacteristic
1584Q8—44no—
1585Q8—44no—
1586Q8—44no—
1587Q8—84no—
1588Q8—84no—
1589D4—44no—
1590D4—48no—
1591D4—44no—
1592D4—48no—
1593D4—44no—
1594D4—44no—
1595D4—48no—
1596D4—84no—
1597D4—84no—
1598D4—84no—
1599D4—88no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—88no—
1606D4—88no—
1607D4—164no—
1608D4—164no—
1609D4—164no—
1610D4—164no—
1611D4—164no—
1612D4—164no—
1613D4—164no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—28no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—24no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—24no—
1693C2×C4—44no—
1694C2×C4—48no—
1695C2×C4—44no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—44no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—84no—
1702C2×C4—82no—
1703C2×C4—88no—
1704C2×C4—84no—
1705C2×C4—84no—
1706C2×C4—88no—
1707C2×C4—88no—
1708C2×C4—164no—
1709C2×C4—164no—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4#58512yes—
1716C2×C4#58512yes—
1717C2×C4#58512yes—
1718C2×C4#58512yes—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—41no—
1728C22—44no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—41no—
1738C22—44no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—44no—
1751C22—44no—
1752C22—41no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—41no—
1760C22—44no—
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C2×#58511yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22H(7,𝔽2)11yescharacteristic
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—41no—
1772C4—41no—
1773C4—42no—
1774C4—42no—
1775C4—41no—
1776C4—42no—
1777C4—42no—
1778C4—44no—
1779C4—41no—
1780C4—42no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—44no—
1788C4—44no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4#354214yes—
1796C4#355114yes—
1797C2—42no—
1798C2—82no—
1799C2—81no—
1800C2—84no—
1801C2—82no—
1802C2—82no—
1803C2C2×#354211yescharacteristic
1804C2C2×#355111yescharacteristic
1805C2#6283611yescharacteristic
1806C2#6293711yescharacteristic
1807C2#6295711yescharacteristic
1808C2#6296111yescharacteristic
1809C2#6303111yescharacteristic
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. #59419C2semidirect
2. #59329C2semidirect
3. #59212C2semidirect
4. #57881C2semidirect
5. #57573C2semidirect
6. #55154C2semidirect
7. #53128C2semidirect
8. #52970C2semidirect
9. #49735C2semidirect
10. #45716C2semidirect
11. #45513C2semidirect
12. #45092C2semidirect
13. #45020C2semidirect
14. #42706C2semidirect
15. #42598C2semidirect
16. #42584C2semidirect
17. #42433C2semidirect
18. #40030C2semidirect
19. #39929C2semidirect
20. #39725C2semidirect
21. #39341C2semidirect
22. #39138C2semidirect
23. #38977C2semidirect
24. #38116C2semidirect
25. #37975C2semidirect
26. #37622C2semidirect
27. #37418C2semidirect
28. #37332C2semidirect
29. #36410C2semidirect
30. #36182C2semidirect
31. #36174C2semidirect
32. #35273C2semidirect
33. #35197C2semidirect
34. #34889C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#594192
#593292
#592122
#578812
#575732
#551542
#531282
#529702
#497352
#457162
#455132
#450922
#450202
#427062
#425982
#425842
#424332
#400302
#399292
#397252
#393412
#391382
#389772
#381162
#379752
#376222
#374182
#373322
#364102
#361822
#361742
#352732
#351972
#348892
#347202