Finite Group Databasebeta

← #7657579

Subgroups — #7657579

Order 512.

4992 conjugacy classes of subgroups.

The subgroup lattice has 1781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42693C212yesmaximal, complemented
2#42688C212yesmaximal, complemented
3#42463C212yesmaximal, complemented
4#42462C212yesmaximal, complemented
5#41750C214yesmaximal, complemented
6#41735C214yesmaximal, complemented
7#40930C214yesmaximal, complemented
8#40915C214yesmaximal, complemented
9#39297C212yesmaximal, complemented
10#39282C212yesmaximal, complemented
11#39158C211yesmaximal, characteristic, complemented
12#39148C211yesmaximal, characteristic, complemented
13#38942C211yesmaximal, characteristic, complemented
14#38932C211yesmaximal, characteristic, complemented
15#38286C212yesmaximal, complemented
16#38276C212yesmaximal, complemented
17#37639C211yesmaximal, characteristic, complemented
18#37624C211yesmaximal, characteristic, complemented
19#37515C212yesmaximal, complemented
20#37513C212yesmaximal, complemented
21#36472C211yesmaximal, characteristic, complemented
22#36459C211yesmaximal, characteristic, complemented
23#36301C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36062C212yesmaximal, complemented
26#35849C212yesmaximal, complemented
27#35756C212yesmaximal, complemented
28#35752C212yesmaximal, complemented
29#35292C211yesmaximal, characteristic, complemented
30#35268C212yesmaximal, complemented
31#34621C212yesmaximal, complemented
32#34609C211yesmaximal, characteristic, complemented
33#34236C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#553C2212yes—
38C2×#532C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2212yes—
41C2×C4×#41C2211yescharacteristic
42#2864C2212yes—
43#2860C2212yes—
44#2860C2212yes—
45#2858C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2841C2214yes—
51#2832C2214yes—
52#2828C2214yes—
53#2825C2214yes—
54#2825C2214yes—
55#2819C2214yes—
56#2808C2214yes—
57#2803C2214yes—
58#2797C2214yes—
59#2764C2214yes—
60#2759C2214yes—
61#2759C2214yes—
62#2756C2214yes—
63#2751C2214yes—
64#2749C2214yes—
65#2747C2214yes—
66#2745C2214yes—
67#2745C2214yes—
68#2741C2214yes—
69#2740C2214yes—
70#2733C2214yes—
71#2714C2214yes—
72#2703C2214yes—
73#2700C2214yes—
74#2699C2214yes—
75#2699C2214yes—
76#2691C2214yes—
77#2688C2214yes—
78#2687C2214yes—
79#2686C2214yes—
80#2666C2214yes—
81#2661C2214yes—
82#2661C2214yes—
83#2660C2212yes—
84#2653C2214yes—
85#2653C2214yes—
86#2651C2214yes—
87#2651C2214yes—
88#2648C2214yes—
89#2648C2214yes—
90#2647C2212yes—
91#2647C2212yes—
92#2644C2212yes—
93#2644C2212yes—
94#2641C2212yes—
95#2635C2212yes—
96#2635C2212yes—
97#2635C2214yes—
98#2635C2214yes—
99#2632C2212yes—
100#2631C2212yes—
101#2631C2214yes—
102#2631C2214yes—
103#2629C2212yes—
104#2628C2211yescharacteristic
105#2628C2211yescharacteristic
106#2628C2212yes—
107#2624C2211yescharacteristic
108#2624C2211yescharacteristic
109#2624C2212yes—
110#2619C2212yes—
111#2619C2212yes—
112#2619C2211yescharacteristic
113#2619C2211yescharacteristic
114#2615C2212yes—
115#2615C2212yes—
116#2615C2214yes—
117#2615C2211yescharacteristic
118#2615C2211yescharacteristic
119#2615C2212yes—
120#2610C2214yes—
121#2603C2214yes—
122#2600C2214yes—
123#2599C2214yes—
124#2592C2212yes—
125#2592C2214yes—
126#2580C2212yes—
127#2577C2214yes—
128#2572C2214yes—
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2563C2211yescharacteristic
132#2563C2212yes—
133#2563C2211yescharacteristic
134#2562C2212yes—
135#2560C2214yes—
136#2555C2214yes—
137#2555C2214yes—
138#2555C2214yes—
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2551C2211yescharacteristic
142#2550C2212yes—
143#2547C2212yes—
144#2543C2214yes—
145#2541C2211yescharacteristic
146#2541C2212yes—
147#2541C2211yescharacteristic
148#2540C2212yes—
149#2537C2212yes—
150#2537C2212yes—
151#2537C2212yes—
152#2535C2212yes—
153#2535C2212yes—
154#2532C2214yes—
155#2527C2214yes—
156#2521C2214yes—
157#2521C2214yes—
158#2521C2214yes—
159#2516C2214yes—
160#2516C2214yes—
161#2504C2212yes—
162#2500C2212yes—
163#2498C2214yes—
164#2496C2212yes—
165#2495C2212yes—
166#2495C2212yes—
167#2495C2212yes—
168#2494C2212yes—
169#2494C2212yes—
170#2494C2212yes—
171#2494C2212yes—
172#2493C2214yes—
173#2491C2212yes—
174#2491C2212yes—
175#2491C2212yes—
176#2490C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2486C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2477C2214yes—
184#2476C2214yes—
185#2469C2214yes—
186#2467C2214yes—
187#2467C2214yes—
188#2464C2214yes—
189#2459C2214yes—
190#2459C2214yes—
191#2459C2214yes—
192#2458C2214yes—
193#2456C2214yes—
194#2456C2214yes—
195#2456C2214yes—
196#2444C2214yes—
197#2442C2212yes—
198#2441C2212yes—
199#2439C2212yes—
200#2439C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2212yes—
205#2422C2212yes—
206#2422C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2416C2212yes—
212#2414C2214yes—
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2398C2212yes—
221#2397C2212yes—
222#2395C2214yes—
223#2395C2214yes—
224#2392C2214yes—
225#2392C2214yes—
226#2388C2212yes—
227#2388C2212yes—
228#2369C2211yescharacteristic
229#2369C2211yescharacteristic
230#2367C2214yes—
231#2366C2211yescharacteristic
232#2366C2212yes—
233#2366C2211yescharacteristic
234#2365C2212yes—
235#2363C2212yes—
236#2361C2212yes—
237#2361C2212yes—
238#2361C2212yes—
239#2357C2212yes—
240#2357C2212yes—
241#2356C2212yes—
242#2355C2211yescharacteristic
243#2355C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2212yes—
249#2353C2212yes—
250#2353C2212yes—
251#2352C2212yes—
252#2352C2211yescharacteristic
253#2352C2211yescharacteristic
254#2352C2211yescharacteristic
255#2352C2211yescharacteristic
256#2352C2212yes—
257#2352C2212yes—
258#2349C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2211yescharacteristic
261#2347C2212yes—
262#2344C2212yes—
263#2339C2214yes—
264#2337C2214yes—
265#2331C2212yes—
266#2328C2212yes—
267#2325C2214yes—
268#2324C2212yes—
269#2324C2212yes—
270#2319C2212yes—
271#2319C2212yes—
272#2319C2212yes—
273#2311C2212yes—
274C4×#127C2212yes—
275C4×#125C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2298C2212yes—
285#2298C2212yes—
286#2297C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2275C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#555—48no—
303#553—48no—
304#532—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353#520—48no—
354C4×#41—28no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2314yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2311yescharacteristic
407#401C2314yes—
408#401C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2312yes—
422#399C2312yes—
423#399C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2312yes—
500#393C2312yes—
501#393C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2312yes—
522#392C2312yes—
523#392C2312yes—
524#392C2312yes—
525#392C2312yes—
526#392C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#390C2314yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#383C2314yes—
700#383C2314yes—
701#383C2312yes—
702#383C2312yes—
703#383C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—28no—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—42no—
821C2×#41—44no—
822C2×#41—42no—
823C2×#41—82no—
824C2×#41—82no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2411yescharacteristic
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874#127—24no—
875#127—24no—
876#127—44no—
877#127—44no—
878#126—48no—
879#126—84no—
880#125—44no—
881#125—44no—
882#124—28no—
883#124—28no—
884#124—48no—
885#124—48no—
886#124—84no—
887#124—84no—
888#123—48no—
889#123—84no—
890C22⋊Q8—82no—
891C22⋊Q8—82no—
892#121—24no—
893#121—24no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—48no—
898#121—48no—
899#121—44no—
900#121—44no—
901#121—42no—
902#121—42no—
903#121—44no—
904#121—42no—
905#121—44no—
906#121—42no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—84no—
912#121—82no—
913#121—84no—
914#121—84no—
915#121—82no—
916#121—84no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—48no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—48no—
940C4×D4—48no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—48no—
945C4×D4—84no—
946C4×D4—84no—
947C4×D4—84no—
948#117—24no—
949#117—28no—
950#117—24no—
951#117—24no—
952#117—24no—
953#117—24no—
954#117—44no—
955#117—48no—
956#117—42no—
957#117—42no—
958#117—44no—
959#117—44no—
960#117—84no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—44no—
1091C2×C42#4118yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24C2511yescharacteristic
1188C24C2511yescharacteristic
1189C24C2512yes—
1190C24C2514yes—
1191C24C2512yes—
1192C24C2511yescharacteristic
1193#41—432no—
1194#41—416no—
1195#41—816no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—42no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—28no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—42no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—28no—
1302C22×C4—24no—
1303C22×C4—28no—
1304C22×C4—28no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4C2×#4114yes—
1329C22×C4C2×#4114yes—
1330C22×C4C2×#4114yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4H(5,𝔽2)14yes—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—24no—
1490C42—28no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—44no—
1504C42—42no—
1505C42—44no—
1506C42—42no—
1507C42—44no—
1508C42—42no—
1509C42—42no—
1510C42C2×#4114yes—
1511C42C2×#4114yes—
1512C42C2×#4114yes—
1513C42C2×#4114yes—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—24no—
1551C23—24no—
1552C23—22no—
1553C23—21no—
1554C23—21no—
1555C23C22×#4112yes—
1556C23C2611yescharacteristic
1557Q8—44no—
1558Q8—48no—
1559Q8—84no—
1560Q8—164no—
1561D4—44no—
1562D4—48no—
1563D4—44no—
1564D4—44no—
1565D4—48no—
1566D4—48no—
1567D4—416no—
1568D4—48no—
1569D4—48no—
1570D4—44no—
1571D4—44no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—88no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—88no—
1580D4—164no—
1581D4—164no—
1582D4—164no—
1583D4—164no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—28no—
1595C2×C4—28no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—48no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—82no—
1670C2×C4—82no—
1671C2×C4—88no—
1672C2×C4—84no—
1673C2×C4—88no—
1674C2×C4—88no—
1675C2×C4—84no—
1676C2×C4—164no—
1677C2×C4—164no—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4112yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4112yes—
1683C2×C4C22×#4112yes—
1684C2×C4C2×H(5,𝔽2)14yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4#58512yes—
1687C2×C4#58512yes—
1688C2×C4#58512yes—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—44no—
1699C22—42no—
1700C22—42no—
1701C22—44no—
1702C22—41no—
1703C22—41no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—42no—
1712C22—41no—
1713C22—44no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—41no—
1719C22—41no—
1720C22—44no—
1721C22—44no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—44no—
1730C22—41no—
1731C22C23×#4111yescharacteristic
1732C22C22×H(5,𝔽2)11yescharacteristic
1733C22C2×#58511yescharacteristic
1734C22C2×#58511yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22H(7,𝔽2)11yescharacteristic
1737C22H(7,𝔽2)11yescharacteristic
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—24no—
1742C4—22no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—44no—
1748C4—42no—
1749C4—42no—
1750C4—44no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—44no—
1755C4—41no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4#346014yes—
1766C4#349314yes—
1767C2—42no—
1768C2—81no—
1769C2—81no—
1770C2—84no—
1771C2—82no—
1772C2—82no—
1773C2C2×#346011yescharacteristic
1774C2C2×#349311yescharacteristic
1775C2#6285511yescharacteristic
1776C2#6292011yescharacteristic
1777C2#6292311yescharacteristic
1778C2#6293711yescharacteristic
1779C2#6293811yescharacteristic
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. #42693C2semidirect
2. #42688C2semidirect
3. #42463C2semidirect
4. #42462C2semidirect
5. #41750C2semidirect
6. #41735C2semidirect
7. #40930C2semidirect
8. #40915C2semidirect
9. #39297C2semidirect
10. #39282C2semidirect
11. #39158C2semidirect
12. #39148C2semidirect
13. #38942C2semidirect
14. #38932C2semidirect
15. #38286C2semidirect
16. #38276C2semidirect
17. #37639C2semidirect
18. #37624C2semidirect
19. #37515C2semidirect
20. #37513C2semidirect
21. #36472C2semidirect
22. #36459C2semidirect
23. #36301C2semidirect
24. #36273C2semidirect
25. #36062C2semidirect
26. #35849C2semidirect
27. #35756C2semidirect
28. #35752C2semidirect
29. #35292C2semidirect
30. #35268C2semidirect
31. #34621C2semidirect
32. #34609C2semidirect
33. #34236C2semidirect
34. #34206C2semidirect
35. #34121C2semidirect

Maximal subgroups

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

subgroupindex
#426932
#426882
#424632
#424622
#417502
#417352
#409302
#409152
#392972
#392822
#391582
#391482
#389422
#389322
#382862
#382762
#376392
#376242
#375152
#375132
#364722
#364592
#363012
#362732
#360622
#358492
#357562
#357522
#352922
#352682
#346212
#346092
#342362
#342062
#341212