Finite Group Databasebeta

← #8466947

Subgroups — #8466947

Order 512.

5298 conjugacy classes of subgroups.

The subgroup lattice has 1807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59445C211yesmaximal, characteristic, complemented
2#59039C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#57203C214yesmaximal, complemented
5#55527C214yesmaximal, complemented
6#54875C214yesmaximal, complemented
7#53106C212yesmaximal, complemented
8#53096C212yesmaximal, complemented
9#47935C214yesmaximal, complemented
10#45486C212yesmaximal, complemented
11#45484C212yesmaximal, complemented
12#44998C212yesmaximal, complemented
13#44947C212yesmaximal, complemented
14#42805C212yesmaximal, complemented
15#42605C212yesmaximal, complemented
16#42560C212yesmaximal, complemented
17#42524C212yesmaximal, complemented
18#40149C212yesmaximal, complemented
19#39864C212yesmaximal, complemented
20#39770C211yesmaximal, characteristic, complemented
21#39725C211yesmaximal, characteristic, complemented
22#39351C211yesmaximal, characteristic, complemented
23#39275C212yesmaximal, complemented
24#38941C211yesmaximal, characteristic, complemented
25#37699C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37348C212yesmaximal, complemented
28#37332C212yesmaximal, complemented
29#36576C211yesmaximal, characteristic, complemented
30#36128C211yesmaximal, characteristic, complemented
31#36128C211yesmaximal, characteristic, complemented
32#35249C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34691C211yesmaximal, characteristic, complemented
36C2×#562C2214yes—
37C2×#550C2211yescharacteristic
38C2×#550C2212yes—
39C2×#550C2211yescharacteristic
40C2×#548C2212yes—
41C2×#542C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2212yes—
45C2×#532C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2867C2211yescharacteristic
48#2857C2212yes—
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2212yes—
52#2856C2212yes—
53#2855C2212yes—
54#2854C2212yes—
55#2854C2212yes—
56#2829C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2820C2214yes—
60#2819C2214yes—
61#2816C2214yes—
62#2813C2214yes—
63#2813C2214yes—
64#2803C2214yes—
65#2797C2214yes—
66#2774C2214yes—
67#2752C2214yes—
68#2751C2214yes—
69#2750C2214yes—
70#2748C2214yes—
71#2748C2214yes—
72#2746C2214yes—
73#2740C2214yes—
74#2737C2214yes—
75#2730C2214yes—
76#2723C2214yes—
77#2711C2214yes—
78#2711C2214yes—
79#2711C2214yes—
80#2710C2214yes—
81#2709C2214yes—
82#2709C2214yes—
83#2709C2214yes—
84#2706C2214yes—
85#2703C2214yes—
86#2701C2214yes—
87#2699C2214yes—
88#2696C2214yes—
89#2696C2214yes—
90#2694C2214yes—
91#2693C2214yes—
92#2692C2214yes—
93#2692C2214yes—
94#2691C2214yes—
95#2688C2214yes—
96#2686C2214yes—
97#2686C2214yes—
98#2686C2214yes—
99#2686C2214yes—
100#2686C2214yes—
101#2681C2214yes—
102#2681C2214yes—
103#2676C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2673C2214yes—
107#2673C2214yes—
108#2672C2214yes—
109#2672C2214yes—
110#2671C2214yes—
111#2671C2214yes—
112#2671C2214yes—
113#2665C2214yes—
114#2662C2214yes—
115#2643C2214yes—
116#2641C2212yes—
117#2640C2212yes—
118#2638C2214yes—
119#2636C2214yes—
120#2632C2214yes—
121#2630C2214yes—
122#2624C2212yes—
123#2624C2212yes—
124#2624C2212yes—
125#2620C2212yes—
126#2620C2212yes—
127#2619C2212yes—
128#2616C2214yes—
129#2600C2214yes—
130#2580C2212yes—
131#2580C2212yes—
132#2580C2212yes—
133#2578C2212yes—
134#2576C2212yes—
135#2570C2212yes—
136#2570C2211yescharacteristic
137#2567C2211yescharacteristic
138#2567C2211yescharacteristic
139#2567C2211yescharacteristic
140#2566C2211yescharacteristic
141#2564C2214yes—
142#2564C2214yes—
143#2563C2212yes—
144#2563C2211yescharacteristic
145#2562C2211yescharacteristic
146#2552C2212yes—
147#2551C2211yescharacteristic
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2548C2212yes—
151#2548C2212yes—
152#2548C2211yescharacteristic
153#2548C2212yes—
154#2548C2211yescharacteristic
155#2547C2212yes—
156#2544C2214yes—
157#2544C2212yes—
158#2544C2212yes—
159#2542C2212yes—
160#2542C2212yes—
161#2541C2212yes—
162#2541C2212yes—
163#2541C2212yes—
164#2541C2212yes—
165#2540C2212yes—
166#2538C2212yes—
167#2538C2212yes—
168#2538C2211yescharacteristic
169#2538C2212yes—
170#2537C2212yes—
171#2537C2212yes—
172#2535C2211yescharacteristic
173#2516C2214yes—
174#2515C2212yes—
175#2513C2212yes—
176#2512C2212yes—
177#2511C2212yes—
178#2509C2212yes—
179#2508C2212yes—
180#2506C2212yes—
181#2501C2212yes—
182#2497C2211yescharacteristic
183#2497C2212yes—
184#2494C2211yescharacteristic
185#2492C2212yes—
186#2491C2212yes—
187#2491C2212yes—
188#2491C2212yes—
189#2491C2212yes—
190#2488C2214yes—
191#2473C2212yes—
192#2466C2214yes—
193#2465C2214yes—
194#2465C2212yes—
195#2462C2214yes—
196#2462C2212yes—
197#2461C2214yes—
198#2459C2214yes—
199#2457C2212yes—
200#2452C2212yes—
201#2452C2212yes—
202#2451C2211yescharacteristic
203#2450C2214yes—
204#2450C2214yes—
205#2449C2212yes—
206#2448C2212yes—
207#2446C2212yes—
208#2446C2211yescharacteristic
209#2445C2212yes—
210#2445C2212yes—
211#2445C2212yes—
212#2445C2212yes—
213#2445C2212yes—
214#2445C2212yes—
215#2440C2211yescharacteristic
216#2436C2212yes—
217#2434C2211yescharacteristic
218#2432C2212yes—
219#2431C2212yes—
220#2431C2212yes—
221#2431C2212yes—
222#2431C2212yes—
223#2430C2214yes—
224#2430C2214yes—
225#2429C2211yescharacteristic
226#2428C2214yes—
227#2428C2212yes—
228#2428C2214yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yes—
233#2428C2212yes—
234#2427C2212yes—
235#2426C2212yes—
236#2426C2214yes—
237#2425C2214yes—
238#2423C2211yescharacteristic
239#2422C2212yes—
240#2422C2211yescharacteristic
241#2422C2212yes—
242#2422C2212yes—
243#2420C2212yes—
244#2420C2211yescharacteristic
245#2420C2212yes—
246#2420C2212yes—
247#2417C2211yescharacteristic
248#2416C2214yes—
249#2416C2212yes—
250#2409C2211yescharacteristic
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2406C2214yes—
255#2401C2212yes—
256#2399C2212yes—
257#2396C2212yes—
258#2392C2212yes—
259#2370C2212yes—
260#2366C2212yes—
261#2366C2211yescharacteristic
262#2366C2212yes—
263#2366C2212yes—
264#2366C2212yes—
265#2366C2211yescharacteristic
266#2355C2211yescharacteristic
267#2355C2212yes—
268Q8×C4⋊C4C2211yescharacteristic
269#2349C2212yes—
270#2349C2212yes—
271#2341C2212yes—
272#2339C2212yes—
273#2339C2212yes—
274#2331C2212yes—
275#2328C2212yes—
276#2326C2212yes—
277#2326C2212yes—
278#2325C2214yes—
279#2324C2212yes—
280#2319C2212yes—
281#2319C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×#123C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2295C2211yescharacteristic
293#2290C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304#562—416no—
305#550—44no—
306#550—44no—
307#550—48no—
308#548—48no—
309#542—48no—
310#533—44no—
311#532—44no—
312#532—44no—
313#532—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2314yes—
330C2×#127C2312yes—
331C2×#126C2314yes—
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#125C2314yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×C4×Q8—44no—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2312yes—
432C22×C42C2312yes—
433#401C2312yes—
434#400C2312yes—
435#400C2312yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#395C2312yes—
489#395C2312yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2312yes—
494#395C2312yes—
495#395C2312yes—
496#395C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2312yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#391C2311yescharacteristic
560#391C2312yes—
561#391C2311yescharacteristic
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2314yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2314yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2314yes—
628#389C2312yes—
629#389C2314yes—
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
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#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2314yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2311yescharacteristic
743#383C2312yes—
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2312yes—
747#382C2312yes—
748#382C2314yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#381C2312yes—
752#381C2314yes—
753#381C2314yes—
754#381C2312yes—
755#381C2314yes—
756#381C2314yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2314yes—
773#380C2314yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2312yes—
818C2×#95C2314yes—
819C2×#95C2314yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—82no—
832C2×#41—82no—
833C22×Q8—24no—
834C22×Q8—42no—
835C22×Q8—42no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2414yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C4⋊Q8—24no—
883C4⋊Q8—24no—
884C4⋊Q8—44no—
885C4⋊Q8—42no—
886C4⋊Q8—44no—
887C4⋊Q8—42no—
888#127—24no—
889#127—24no—
890#127—28no—
891#127—44no—
892#127—44no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—48no—
898#127—82no—
899#126—48no—
900#125—24no—
901#125—44no—
902#125—48no—
903#124—28no—
904#124—48no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—48no—
911#124—48no—
912#124—48no—
913#123—28no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—84no—
919#123—84no—
920#123—84no—
921C22⋊Q8—24no—
922C22⋊Q8—28no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—44no—
926C22⋊Q8—48no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930C22⋊Q8—44no—
931C22⋊Q8—48no—
932C22⋊Q8—48no—
933C22⋊Q8—84no—
934#121—216no—
935#121—44no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—42no—
943#121—42no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—44no—
954#121—44no—
955#121—48no—
956#121—44no—
957#121—48no—
958#121—84no—
959#121—84no—
960C4×Q8—28no—
961C4×Q8—24no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×Q8—42no—
969C4×Q8—42no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—42no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—42no—
987C4×D4—44no—
988C4×D4—48no—
989C4×D4—48no—
990C4×D4—48no—
991C4×D4—48no—
992#117—44no—
993#117—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4—42no—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C42—24no—
1125C2×C42—24no—
1126C2×C42—44no—
1127C2×C42—44no—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24C2511yescharacteristic
1218C24C2514yes—
1219C24C2512yes—
1220C24C2514yes—
1221C24C2511yescharacteristic
1222#41—816no—
1223#41—816no—
1224#41—816no—
1225#41—816no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—42no—
1241C2×Q8—42no—
1242C2×Q8—42no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×Q8—44no—
1246C2×Q8—416no—
1247C2×Q8H(5,𝔽2)14yes—
1248C2×D4—22no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—28no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—41no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—28no—
1336C22×C4—28no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—28no—
1410C4⋊C4—28no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—41no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—41no—
1480C22⋊C4—42no—
1481C22⋊C4—41no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4H(5,𝔽2)14yes—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—22no—
1536C42—28no—
1537C42—24no—
1538C42—24no—
1539C42—22no—
1540C42—22no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—42no—
1545C42—44no—
1546C42—44no—
1547C42—41no—
1548C42H(5,𝔽2)14yes—
1549C422−1+414yes—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—24no—
1558C23—22no—
1559C23—24no—
1560C23—22no—
1561C23—21no—
1562C23—24no—
1563C23—21no—
1564C23—24no—
1565C23—22no—
1566C23—24no—
1567C23—24no—
1568C23—21no—
1569C23—22no—
1570C23—24no—
1571C23—24no—
1572C23—21no—
1573C23—22no—
1574C23—24no—
1575C23—24no—
1576C23—24no—
1577C23—22no—
1578C23—24no—
1579C23—21no—
1580C23—24no—
1581C23—22no—
1582C23—24no—
1583C23—21no—
1584C23C2×H(5,𝔽2)12yes—
1585C23C2611yescharacteristic
1586Q8—28no—
1587Q8—48no—
1588Q8—48no—
1589Q8—44no—
1590Q8—44no—
1591Q8—84no—
1592Q8—164no—
1593D4—44no—
1594D4—48no—
1595D4—48no—
1596D4—44no—
1597D4—48no—
1598D4—48no—
1599D4—88no—
1600D4—88no—
1601D4—88no—
1602D4—84no—
1603D4—84no—
1604D4—88no—
1605D4—84no—
1606D4—88no—
1607D4—88no—
1608D4—84no—
1609D4—88no—
1610D4—88no—
1611D4—164no—
1612D4—164no—
1613D4—164no—
1614D4—164no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—24no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—48no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—48no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—88no—
1704C2×C4—88no—
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)14yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×2−1+412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4C2×2−1+412yes—
1720C2×C4#58512yes—
1721C2×C4#58512yes—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—42no—
1731C22—44no—
1732C22—44no—
1733C22—42no—
1734C22—44no—
1735C22—44no—
1736C22—41no—
1737C22—41no—
1738C22—44no—
1739C22—44no—
1740C22—42no—
1741C22—41no—
1742C22—44no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—44no—
1748C22—41no—
1749C22—44no—
1750C22—41no—
1751C22—42no—
1752C22—44no—
1753C22—42no—
1754C22—41no—
1755C22—44no—
1756C22—44no—
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C22×H(5,𝔽2)11yescharacteristic
1760C22C22×2−1+411yescharacteristic
1761C22C2×#58511yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22H(7,𝔽2)11yescharacteristic
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—24no—
1770C4—41no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—44no—
1776C4—42no—
1777C4—41no—
1778C4—44no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—41no—
1787C4—41no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4#354214yes—
1793C4#355414yes—
1794C2—42no—
1795C2—81no—
1796C2—82no—
1797C2—84no—
1798C2—84no—
1799C2C2×#354211yescharacteristic
1800C2C2×#355411yescharacteristic
1801C2#6283511yescharacteristic
1802C2#6291211yescharacteristic
1803C2#6291711yescharacteristic
1804C2#6296611yescharacteristic
1805C2#6301411yescharacteristic
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. #59445C2semidirect
2. #59039C2semidirect
3. #59039C2semidirect
4. #57203C2semidirect
5. #55527C2semidirect
6. #54875C2semidirect
7. #53106C2semidirect
8. #53096C2semidirect
9. #47935C2semidirect
10. #45486C2semidirect
11. #45484C2semidirect
12. #44998C2semidirect
13. #44947C2semidirect
14. #42805C2semidirect
15. #42605C2semidirect
16. #42560C2semidirect
17. #42524C2semidirect
18. #40149C2semidirect
19. #39864C2semidirect
20. #39770C2semidirect
21. #39725C2semidirect
22. #39351C2semidirect
23. #39275C2semidirect
24. #38941C2semidirect
25. #37699C2semidirect
26. #37640C2semidirect
27. #37348C2semidirect
28. #37332C2semidirect
29. #36576C2semidirect
30. #36128C2semidirect
31. #36128C2semidirect
32. #35249C2semidirect
33. #35177C2semidirect
34. #34917C2semidirect
35. #34691C2semidirect

Maximal subgroups

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

subgroupindex
#594452
#590392
#572032
#555272
#548752
#531062
#530962
#479352
#454862
#454842
#449982
#449472
#428052
#426052
#425602
#425242
#401492
#398642
#397702
#397252
#393512
#392752
#389412
#376992
#376402
#373482
#373322
#365762
#361282
#352492
#351772
#349172
#346912