Finite Group Databasebeta

← #7657496

Subgroups — #7657496

Order 512.

5004 conjugacy classes of subgroups.

The subgroup lattice has 1705 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42560C212yesmaximal, complemented
2#42558C212yesmaximal, complemented
3#42552C212yesmaximal, complemented
4#42550C212yesmaximal, complemented
5#41198C214yesmaximal, complemented
6#41193C214yesmaximal, complemented
7#41185C214yesmaximal, complemented
8#41175C214yesmaximal, complemented
9#39565C212yesmaximal, complemented
10#39563C212yesmaximal, complemented
11#39488C211yesmaximal, characteristic, complemented
12#39471C211yesmaximal, characteristic
13#39468C211yesmaximal, characteristic, complemented
14#39370C211yesmaximal, characteristic, complemented
15#37937C212yesmaximal, complemented
16#37759C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37627C211yesmaximal, characteristic, complemented
19#37511C212yesmaximal, complemented
20#37504C212yesmaximal, complemented
21#36561C211yesmaximal, characteristic, complemented
22#36552C211yesmaximal, characteristic, complemented
23#36188C211yesmaximal, characteristic, complemented
24#36114C211yesmaximal, characteristic, complemented
25#35919C212yesmaximal, complemented
26#35909C212yesmaximal, complemented
27#35787C212yesmaximal, complemented
28#35724C212yesmaximal, complemented
29#35284C211yesmaximal, characteristic, complemented
30#35257C212yesmaximal, complemented
31#34619C211yesmaximal, characteristic, complemented
32#34614C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34#34308C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#554C2212yes—
39C2×#547C2211yescharacteristic
40C2×#544C2212yes—
41C2×#532C2211yescharacteristic
42C2×#529C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2212yes—
45#2868C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2857C2212yes—
51#2851C2212yes—
52#2851C2212yes—
53#2839C2214yes—
54#2838C2214yes—
55#2837C2214yes—
56#2836C2214yes—
57#2827C2214yes—
58#2824C2214yes—
59#2799C2214yes—
60#2797C2214yes—
61#2786C2214yes—
62#2778C2214yes—
63#2768C2214yes—
64#2767C2214yes—
65#2765C2214yes—
66#2754C2214yes—
67#2753C2214yes—
68#2751C2214yes—
69#2750C2214yes—
70#2750C2214yes—
71#2729C2214yes—
72#2718C2214yes—
73#2718C2214yes—
74#2716C2214yes—
75#2715C2214yes—
76#2710C2214yes—
77#2707C2214yes—
78#2704C2214yes—
79#2703C2214yes—
80#2702C2214yes—
81#2696C2214yes—
82#2691C2214yes—
83#2664C2214yes—
84#2655C2214yes—
85#2654C2212yes—
86#2653C2212yes—
87#2651C2214yes—
88#2651C2214yes—
89#2650C2212yes—
90#2650C2214yes—
91#2650C2214yes—
92#2649C2212yes—
93#2647C2211yescharacteristic
94#2647C2212yes—
95#2646C2214yes—
96#2645C2212yes—
97#2645C2211yescharacteristic
98#2644C2211yescharacteristic
99#2643C2214yes—
100#2640C2211yescharacteristic
101#2640C2212yes—
102#2638C2214yes—
103#2637C2214yes—
104#2636C2214yes—
105#2636C2214yes—
106#2630C2214yes—
107#2630C2214yes—
108#2629C2212yes—
109#2629C2212yes—
110#2629C2212yes—
111#2628C2211yescharacteristic
112#2628C2212yes—
113#2625C2212yes—
114#2625C2211yescharacteristic
115#2625C2212yes—
116#2624C2212yes—
117#2624C2211yescharacteristic
118#2620C2211yescharacteristic
119#2620C2212yes—
120#2620C2212yes—
121#2616C2212yes—
122#2615C2212yes—
123#2611C2214yes—
124#2609C2214yes—
125#2603C2214yes—
126#2601C2214yes—
127#2600C2214yes—
128#2590C2214yes—
129#2588C2214yes—
130#2575C2214yes—
131#2568C2212yes—
132#2568C2211yescharacteristic
133#2564C2214yes—
134#2560C2214yes—
135#2560C2214yes—
136#2556C2214yes—
137#2552C2211yescharacteristic
138#2551C2211yescharacteristic
139#2547C2211yescharacteristic
140#2547C2211yescharacteristic
141#2547C2212yes—
142#2546C2212yes—
143#2544C2212yes—
144#2542C2211yescharacteristic
145#2540C2212yes—
146#2538C2211yescharacteristic
147#2538C2212yes—
148#2537C2211yescharacteristic
149#2528C2214yes—
150#2527C2214yes—
151#2511C2212yes—
152#2508C2212yes—
153#2507C2212yes—
154#2507C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2505C2214yes—
158#2502C2212yes—
159#2502C2212yes—
160#2500C2212yes—
161#2499C2214yes—
162#2497C2212yes—
163#2497C2212yes—
164#2497C2212yes—
165#2496C2212yes—
166#2496C2212yes—
167#2496C2212yes—
168#2496C2214yes—
169#2494C2212yes—
170#2492C2212yes—
171#2492C2212yes—
172#2492C2212yes—
173#2490C2212yes—
174#2487C2212yes—
175#2485C2212yes—
176#2481C2214yes—
177#2477C2214yes—
178#2475C2214yes—
179#2475C2214yes—
180#2473C2214yes—
181#2470C2214yes—
182#2467C2214yes—
183#2466C2214yes—
184#2463C2214yes—
185#2454C2214yes—
186#2453C2214yes—
187#2453C2212yes—
188#2452C2212yes—
189#2452C2214yes—
190#2452C2214yes—
191#2452C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2451C2214yes—
195#2450C2214yes—
196#2450C2214yes—
197#2449C2214yes—
198#2449C2214yes—
199#2448C2212yes—
200#2446C2212yes—
201#2446C2212yes—
202#2442C2212yes—
203#2439C2212yes—
204#2432C2212yes—
205#2432C2212yes—
206#2431C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2427C2212yes—
212#2426C2212yes—
213#2426C2212yes—
214#2423C2212yes—
215#2422C2212yes—
216#2421C2212yes—
217#2420C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2415C2214yes—
221#2414C2212yes—
222#2407C2212yes—
223#2401C2212yes—
224#2398C2212yes—
225#2396C2214yes—
226#2396C2212yes—
227#2395C2212yes—
228#2392C2214yes—
229#2392C2214yes—
230#2392C2214yes—
231#2373C2214yes—
232#2367C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2366C2211yescharacteristic
236#2366C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2211yescharacteristic
241#2365C2212yes—
242#2364C2212yes—
243#2364C2212yes—
244#2362C2212yes—
245#2361C2212yes—
246#2361C2212yes—
247#2361C2211yescharacteristic
248#2361C2211yescharacteristic
249#2361C2211yescharacteristic
250#2361C2211yescharacteristic
251#2360C2212yes—
252#2360C2212yes—
253#2360C2212yes—
254#2359C2214yes—
255#2355C2212yes—
256#2355C2212yes—
257#2354C2211yescharacteristic
258Q8×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2211yescharacteristic
261#2346C2212yes—
262#2344C2212yes—
263#2344C2212yes—
264#2339C2212yes—
265#2334C2214yes—
266#2330C2212yes—
267#2326C2212yes—
268#2323C2212yes—
269#2322C2214yes—
270#2317C2212yes—
271#2314C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284#2297C2212yes—
285#2296C2212yes—
286#2295C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290C2×#389C2212yes—
291#2290C2212yes—
292#2290C2212yes—
293#2285C2212yes—
294#2276C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#556—28no—
302#556—48no—
303#554—48no—
304#547—28no—
305#544—48no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×#127C2311yescharacteristic
317#529—48no—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353#520—48no—
354C4×#41—48no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2314yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405C22×C42C2312yes—
406#401C2314yes—
407#401C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2312yes—
521#393C2312yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2314yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#382C2312yes—
729#382C2314yes—
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2314yes—
733#382C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2312yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2311yescharacteristic
813#376C2314yes—
814#376C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—48no—
865#127—24no—
866#126—216no—
867#126—48no—
868#126—48no—
869#126—48no—
870#125—28no—
871#125—44no—
872#125—48no—
873#125—48no—
874#124—28no—
875#124—28no—
876#124—24no—
877#124—44no—
878#124—44no—
879#123—216no—
880#123—48no—
881C22⋊Q8—28no—
882C22⋊Q8—24no—
883C22⋊Q8—28no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894#121—24no—
895#121—28no—
896#121—24no—
897#121—24no—
898#121—28no—
899#121—44no—
900#121—44no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—28no—
904C4×Q8—24no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—48no—
931C4×D4#4118yes—
932#117—28no—
933#117—24no—
934#117—24no—
935#117—28no—
936#117—44no—
937#117—44no—
938#117—48no—
939#117—48no—
940#117—48no—
941#117—44no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—42no—
946C2×C4⋊C4—48no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C42—24no—
1075C2×C42—28no—
1076C2×C42—44no—
1077C2×C42—44no—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24C2512yes—
1185C24C2512yes—
1186C24C2512yes—
1187C24C2511yescharacteristic
1188#41—432no—
1189#41—432no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4C2×#4114yes—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4C2×#4118yes—
1282C22×C42−1+414yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4C2×#4114yes—
1385C4⋊C4H(5,𝔽2)14yes—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4C2×#4118yes—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—28no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—28no—
1452C42—24no—
1453C42—28no—
1454C42—22no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42—41no—
1465C42—41no—
1466C42—41no—
1467C42—41no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42C2×#4114yes—
1473C42H(5,𝔽2)14yes—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23C22×#4114yes—
1501C23C2×2−1+412yes—
1502C23C2611yescharacteristic
1503Q8—48no—
1504Q8—48no—
1505Q8—48no—
1506Q8—44no—
1507Q8—84no—
1508Q8—164no—
1509D4—28no—
1510D4—48no—
1511D4—48no—
1512D4—48no—
1513D4—48no—
1514D4—416no—
1515D4—44no—
1516D4—44no—
1517D4—84no—
1518D4—88no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—216no—
1532C2×C4—28no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—48no—
1603C2×C4—416no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—82no—
1608C2×C4—84no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—164no—
1615C2×C4C22×#4114yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C2×H(5,𝔽2)14yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4C2×2−1+412yes—
1626C2×C4#58512yes—
1627C22—22no—
1628C22—24no—
1629C22—24no—
1630C22—22no—
1631C22—24no—
1632C22—22no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22C23×#4111yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C22×2−1+411yescharacteristic
1659C22C2×#58511yescharacteristic
1660C222−1+611yescharacteristic
1661C222−1+611yescharacteristic
1662C4—24no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—24no—
1667C4—22no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—41no—
1674C4—41no—
1675C4—42no—
1676C4—41no—
1677C4—44no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—42no—
1683C4—44no—
1684C4—44no—
1685C4—41no—
1686C4—41no—
1687C4—42no—
1688C4—41no—
1689C4—42no—
1690C4—44no—
1691C4#346014yes—
1692C4#352014yes—
1693C2—42no—
1694C2—44no—
1695C2—82no—
1696C2—82no—
1697C2C2×#346011yescharacteristic
1698C2C2×#352011yescharacteristic
1699C2#6286111yescharacteristic
1700C2#6291311yescharacteristic
1701C2#6291411yescharacteristic
1702C2#6295611yescharacteristic
1703C2#6296011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39471C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42560C2semidirect
2. #42558C2semidirect
3. #42552C2semidirect
4. #42550C2semidirect
5. #41198C2semidirect
6. #41193C2semidirect
7. #41185C2semidirect
8. #41175C2semidirect
9. #39565C2semidirect
10. #39563C2semidirect
11. #39488C2semidirect
13. #39468C2semidirect
14. #39370C2semidirect
15. #37937C2semidirect
16. #37759C2semidirect
17. #37631C2semidirect
18. #37627C2semidirect
19. #37511C2semidirect
20. #37504C2semidirect
21. #36561C2semidirect
22. #36552C2semidirect
23. #36188C2semidirect
24. #36114C2semidirect
25. #35919C2semidirect
26. #35909C2semidirect
27. #35787C2semidirect
28. #35724C2semidirect
29. #35284C2semidirect
30. #35257C2semidirect
31. #34619C2semidirect
32. #34614C2semidirect
33. #34324C2semidirect
34. #34308C2semidirect
35. #34141C2semidirect

Maximal subgroups

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

subgroupindex
#425602
#425582
#425522
#425502
#411982
#411932
#411852
#411752
#395652
#395632
#394882
#394712
#394682
#393702
#379372
#377592
#376312
#376272
#375112
#375042
#365612
#365522
#361882
#361142
#359192
#359092
#357872
#357242
#352842
#352572
#346192
#346142
#343242
#343082
#341412