Finite Group Databasebeta

← #7880578

Subgroups — #7880578

Order 512.

5260 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59701C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59312C211yesmaximal, characteristic, complemented
4#59277C212yesmaximal, complemented
5#59259C211yesmaximal, characteristic, complemented
6#49839C214yesmaximal, complemented
7#49639C214yesmaximal, complemented
8#46672C214yesmaximal, complemented
9#45374C212yesmaximal, complemented
10#45059C212yesmaximal, complemented
11#45004C212yesmaximal, complemented
12#44913C212yesmaximal, complemented
13#43451C214yesmaximal, complemented
14#42580C212yesmaximal, complemented
15#42448C212yesmaximal, complemented
16#40177C212yesmaximal, complemented
17#39732C212yesmaximal, complemented
18#39352C211yesmaximal, characteristic, complemented
19#39341C211yesmaximal, characteristic, complemented
20#39147C211yesmaximal, characteristic, complemented
21#38966C211yesmaximal, characteristic, complemented
22#38264C212yesmaximal, complemented
23#37970C212yesmaximal, complemented
24#36555C211yesmaximal, characteristic, complemented
25#36410C211yesmaximal, characteristic, complemented
26#36182C211yesmaximal, characteristic, complemented
27#35793C212yesmaximal, complemented
28#35772C212yesmaximal, complemented
29#35534C212yesmaximal, complemented
30#35530C212yesmaximal, complemented
31#34898C211yesmaximal, characteristic, complemented
32#34715C211yesmaximal, characteristic, complemented
33#34367C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34183C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#552C2212yes—
38C2×#550C2211yescharacteristic
39C2×#540C2212yes—
40C2×#537C2212yes—
41C2×#532C2211yescharacteristic
42C2×#520C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2864C2212yes—
46#2859C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2826C2214yes—
51#2803C2214yes—
52#2803C2214yes—
53#2795C2214yes—
54#2793C2214yes—
55#2790C2214yes—
56#2790C2214yes—
57#2790C2214yes—
58#2788C2214yes—
59#2768C2214yes—
60#2768C2214yes—
61#2761C2214yes—
62#2757C2214yes—
63#2757C2214yes—
64#2754C2214yes—
65#2751C2214yes—
66#2740C2214yes—
67#2721C2214yes—
68#2718C2214yes—
69#2711C2214yes—
70#2708C2214yes—
71#2706C2214yes—
72#2706C2214yes—
73#2706C2214yes—
74#2705C2214yes—
75#2704C2214yes—
76#2701C2214yes—
77#2693C2214yes—
78#2691C2214yes—
79#2682C2214yes—
80#2676C2214yes—
81#2675C2214yes—
82#2671C2214yes—
83#2671C2214yes—
84#2644C2212yes—
85#2636C2214yes—
86#2635C2214yes—
87#2630C2214yes—
88#2629C2212yes—
89#2624C2212yes—
90#2618C2214yes—
91#2615C2212yes—
92#2609C2214yes—
93#2602C2214yes—
94#2601C2214yes—
95#2600C2214yes—
96#2589C2214yes—
97#2587C2214yes—
98#2585C2214yes—
99#2582C2211yescharacteristic
100#2577C2212yes—
101#2575C2212yes—
102#2570C2211yescharacteristic
103#2566C2212yes—
104#2566C2212yes—
105#2566C2212yes—
106#2565C2212yes—
107#2565C2211yescharacteristic
108#2562C2211yescharacteristic
109#2559C2214yes—
110#2554C2214yes—
111#2553C2214yes—
112#2552C2212yes—
113#2552C2212yes—
114#2552C2211yescharacteristic
115#2552C2211yescharacteristic
116#2548C2212yes—
117#2548C2211yescharacteristic
118#2541C2212yes—
119#2541C2211yescharacteristic
120#2538C2211yescharacteristic
121#2537C2212yes—
122#2536C2211yescharacteristic
123#2524C2212yes—
124#2522C2214yes—
125#2522C2214yes—
126#2518C2214yes—
127#2517C2214yes—
128#2513C2212yes—
129#2513C2212yes—
130#2512C2212yes—
131#2512C2212yes—
132#2512C2212yes—
133#2508C2212yes—
134#2508C2212yes—
135#2507C2212yes—
136#2504C2212yes—
137#2502C2214yes—
138#2501C2212yes—
139#2501C2212yes—
140#2501C2214yes—
141#2500C2212yes—
142#2500C2212yes—
143#2500C2214yes—
144#2499C2214yes—
145#2497C2212yes—
146#2497C2212yes—
147#2496C2211yescharacteristic
148#2495C2211yescharacteristic
149#2490C2212yes—
150#2490C2212yes—
151#2486C2212yes—
152#2481C2214yes—
153#2479C2214yes—
154#2477C2214yes—
155#2476C2214yes—
156#2476C2212yes—
157#2474C2212yes—
158#2473C2214yes—
159#2471C2214yes—
160#2471C2214yes—
161#2471C2214yes—
162#2468C2212yes—
163#2464C2214yes—
164#2464C2214yes—
165#2464C2214yes—
166#2460C2214yes—
167#2459C2212yes—
168#2456C2212yes—
169#2456C2214yes—
170#2456C2214yes—
171#2454C2212yes—
172#2454C2212yes—
173#2454C2212yes—
174#2453C2212yes—
175#2452C2212yes—
176#2451C2211yescharacteristic
177#2445C2212yes—
178#2445C2212yes—
179#2445C2211yescharacteristic
180#2445C2212yes—
181#2443C2214yes—
182#2443C2214yes—
183#2443C2214yes—
184#2443C2214yes—
185#2443C2214yes—
186#2443C2214yes—
187#2442C2212yes—
188#2441C2212yes—
189#2441C2212yes—
190#2441C2212yes—
191#2439C2211yescharacteristic
192#2431C2212yes—
193#2431C2211yescharacteristic
194#2428C2212yes—
195#2428C2212yes—
196#2426C2211yescharacteristic
197#2426C2212yes—
198#2423C2211yescharacteristic
199#2423C2212yes—
200#2423C2212yes—
201#2423C2212yes—
202#2422C2212yes—
203#2422C2214yes—
204#2422C2212yes—
205#2422C2212yes—
206#2422C2212yes—
207#2422C2212yes—
208#2422C2212yes—
209#2421C2211yescharacteristic
210#2420C2211yescharacteristic
211#2416C2212yes—
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2414C2212yes—
216#2414C2214yes—
217#2414C2211yescharacteristic
218#2413C2214yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2211yescharacteristic
222#2402C2212yes—
223#2395C2212yes—
224#2392C2212yes—
225#2392C2214yes—
226#2388C2212yes—
227#2377C2214yes—
228#2374C2214yes—
229#2367C2212yes—
230#2367C2212yes—
231#2366C2212yes—
232#2366C2211yescharacteristic
233#2363C2212yes—
234#2363C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2362C2212yes—
238#2361C2212yes—
239#2361C2214yes—
240#2361C2212yes—
241#2361C2212yes—
242#2360C2212yes—
243#2355C2212yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2352C2212yes—
247#2352C2212yes—
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2214yes—
259D4×C4⋊C4C2212yes—
260#2345C2212yes—
261#2344C2212yes—
262#2341C2212yes—
263#2337C2214yes—
264#2331C2212yes—
265#2328C2212yes—
266#2326C2212yes—
267#2324C2212yes—
268#2324C2214yes—
269#2322C2214yes—
270#2317C2212yes—
271#2317C2214yes—
272#2317C2212yes—
273#2311C2212yes—
274#2311C2212yes—
275C4×#127C2211yescharacteristic
276C4×#127C2212yes—
277C4×#125C2211yescharacteristic
278C4×#126C2212yes—
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#121C2211yescharacteristic
286#2298C2212yes—
287#2297C2212yes—
288#2297C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2212yes—
294C2×#384C2212yes—
295C2×#384C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302#553—48no—
303#552—48no—
304#550—28no—
305#540—48no—
306#537—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2314yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360#520—48no—
361#520—48no—
362C4×#41—28no—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2314yes—
404C2×#117C2314yes—
405C2×#117C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2314yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C42C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418#400C2312yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#399C2314yes—
427#399C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#395C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#392C2314yes—
519#392C2312yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
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#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2314yes—
723#384C2314yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2314yes—
728#384C2312yes—
729#384C2312yes—
730#383C2312yes—
731#383C2312yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2314yes—
740#382C2311yescharacteristic
741#382C2314yes—
742#381C2312yes—
743#381C2312yes—
744#381C2314yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C4⋊Q8—24no—
867#127—24no—
868#127—28no—
869#127—24no—
870#127—44no—
871#126—48no—
872#126—44no—
873#126—48no—
874#125—42no—
875#125—44no—
876#125—44no—
877#125—44no—
878#125—48no—
879#124—28no—
880#124—24no—
881#124—28no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—44no—
889#123—84no—
890#123—84no—
891#123—84no—
892C22⋊Q8—24no—
893C22⋊Q8—28no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—48no—
897#121—24no—
898#121—28no—
899#121—24no—
900#121—28no—
901#121—24no—
902#121—28no—
903#121—216no—
904#121—44no—
905#121—48no—
906#121—48no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—48no—
916#121—82no—
917#121—84no—
918C4×Q8—24no—
919C4×Q8—28no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—42no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—48no—
937C4×D4—48no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—42no—
945C4×D4—48no—
946C4×D4—48no—
947C4×D4—48no—
948C4×D4—82no—
949C4×D4—84no—
950C4×D4#4118yes—
951#117—28no—
952#117—24no—
953#117—28no—
954#117—48no—
955#117—44no—
956#117—48no—
957#117—44no—
958#117—48no—
959#117—44no—
960#117—44no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—48no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—48no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—82no—
969C2×C4⋊C4—84no—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C42—28no—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2414yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2512yes—
1199C24C2514yes—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202C24C2511yescharacteristic
1203#41—232no—
1204#41—432no—
1205#41—816no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8H(5,𝔽2)14yes—
1214C2×Q82−1+414yes—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4C2×#4114yes—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—28no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—22no—
1285C22×C4—28no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4C2×#4118yes—
1319C22×C4H(5,𝔽2)14yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2514yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—28no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—41no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4C2×#4114yes—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—22no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4C2×#4118yes—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—22no—
1486C42—24no—
1487C42—22no—
1488C42—24no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—28no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—24no—
1501C42—22no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—41no—
1508C42—41no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42C2×#4114yes—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—21no—
1528C23—22no—
1529C23—21no—
1530C23—21no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—21no—
1535C23—22no—
1536C23—24no—
1537C23—21no—
1538C23—24no—
1539C23—22no—
1540C23—24no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23—21no—
1545C23—24no—
1546C23C22×#4114yes—
1547C23C2×H(5,𝔽2)12yes—
1548C23C2611yescharacteristic
1549Q8—28no—
1550Q8—28no—
1551Q8—84no—
1552D4—216no—
1553D4—28no—
1554D4—416no—
1555D4—44no—
1556D4—44no—
1557D4—48no—
1558D4—48no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—88no—
1563D4—88no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—164no—
1568D4—164no—
1569D4—164no—
1570C2×C4—216no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—28no—
1584C2×C4—216no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—44no—
1652C2×C4—416no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—44no—
1658C2×C4—82no—
1659C2×C4—88no—
1660C2×C4—164no—
1661C2×C4—164no—
1662C2×C4—164no—
1663C2×C4—164no—
1664C2×C4—164no—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4114yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C2×H(5,𝔽2)14yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×2−1+414yes—
1674C2×C4C2×2−1+412yes—
1675C2×C4#58512yes—
1676C2×C4#58512yes—
1677C22—24no—
1678C22—24no—
1679C22—22no—
1680C22—24no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—41no—
1692C22—44no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—44no—
1698C22—41no—
1699C22—42no—
1700C22—42no—
1701C22—41no—
1702C22—44no—
1703C22—42no—
1704C22—41no—
1705C22—44no—
1706C22—44no—
1707C22—42no—
1708C22—41no—
1709C22—41no—
1710C22—44no—
1711C22—42no—
1712C22C23×#4111yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×2−1+411yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—24no—
1723C4—24no—
1724C4—24no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—44no—
1737C4—41no—
1738C4—42no—
1739C4—44no—
1740C4—44no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—42no—
1747C4#349214yes—
1748C4#351314yes—
1749C2—44no—
1750C2—42no—
1751C2—81no—
1752C2—84no—
1753C2—82no—
1754C2C2×#349211yescharacteristic
1755C2C2×#351311yescharacteristic
1756C2#6283611yescharacteristic
1757C2#6291611yescharacteristic
1758C2#6295211yescharacteristic
1759C2#6300811yescharacteristic
1760C2#6303911yescharacteristic
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. #59701C2semidirect
2. #59646C2semidirect
3. #59312C2semidirect
4. #59277C2semidirect
5. #59259C2semidirect
6. #49839C2semidirect
7. #49639C2semidirect
8. #46672C2semidirect
9. #45374C2semidirect
10. #45059C2semidirect
11. #45004C2semidirect
12. #44913C2semidirect
13. #43451C2semidirect
14. #42580C2semidirect
15. #42448C2semidirect
16. #40177C2semidirect
17. #39732C2semidirect
18. #39352C2semidirect
19. #39341C2semidirect
20. #39147C2semidirect
21. #38966C2semidirect
22. #38264C2semidirect
23. #37970C2semidirect
24. #36555C2semidirect
25. #36410C2semidirect
26. #36182C2semidirect
27. #35793C2semidirect
28. #35772C2semidirect
29. #35534C2semidirect
30. #35530C2semidirect
31. #34898C2semidirect
32. #34715C2semidirect
33. #34367C2semidirect
34. #34313C2semidirect
35. #34183C2semidirect

Maximal subgroups

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

subgroupindex
#597012
#596462
#593122
#592772
#592592
#498392
#496392
#466722
#453742
#450592
#450042
#449132
#434512
#425802
#424482
#401772
#397322
#393522
#393412
#391472
#389662
#382642
#379702
#365552
#364102
#361822
#357932
#357722
#355342
#355302
#348982
#347152
#343672
#343132
#341832