Finite Group Databasebeta

← #7968153

Subgroups — #7968153

Order 512.

4872 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59922C212yesmaximal, complemented
2#59659C211yesmaximal, characteristic, complemented
3#59405C212yesmaximal, complemented
4#59219C211yesmaximal, characteristic, complemented
5#59211C211yesmaximal, characteristic, complemented
6#50597C214yesmaximal, complemented
7#48034C214yesmaximal, complemented
8#46196C212yesmaximal, complemented
9#45514C212yesmaximal, complemented
10#45262C212yesmaximal, complemented
11#45126C212yesmaximal, complemented
12#44068C214yesmaximal, complemented
13#42839C212yesmaximal, complemented
14#42796C212yesmaximal, complemented
15#40969C214yesmaximal, complemented
16#40129C212yesmaximal, complemented
17#40117C212yesmaximal, complemented
18#39795C212yesmaximal, complemented
19#39787C212yesmaximal, complemented
20#39560C212yesmaximal, complemented
21#39469C211yesmaximal, characteristic, complemented
22#39194C211yesmaximal, characteristic, complemented
23#36555C211yesmaximal, characteristic, complemented
24Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
25#36539C212yesmaximal, complemented
26#36456C211yesmaximal, characteristic, complemented
27#36411C211yesmaximal, characteristic, complemented
28#36210C211yesmaximal, characteristic, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35178C211yesmaximal, characteristic, complemented
31#35037C212yesmaximal, complemented
32#34976C211yesmaximal, characteristic, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34413C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#536C2212yes—
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44#2864C2212yes—
45#2864C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2854C2212yes—
55#2830C2214yes—
56#2813C2214yes—
57#2803C2214yes—
58#2803C2214yes—
59#2801C2214yes—
60#2800C2214yes—
61#2800C2214yes—
62#2798C2214yes—
63#2797C2214yes—
64#2795C2214yes—
65#2793C2214yes—
66#2793C2214yes—
67#2789C2214yes—
68#2787C2214yes—
69#2781C2214yes—
70#2779C2214yes—
71#2779C2214yes—
72#2778C2214yes—
73#2768C2214yes—
74#2765C2214yes—
75#2759C2214yes—
76#2759C2214yes—
77#2756C2214yes—
78#2737C2214yes—
79#2733C2214yes—
80#2731C2214yes—
81#2731C2214yes—
82#2730C2214yes—
83#2730C2214yes—
84#2729C2214yes—
85#2712C2214yes—
86#2710C2214yes—
87#2696C2214yes—
88#2686C2214yes—
89#2676C2214yes—
90#2663C2214yes—
91#2661C2214yes—
92#2661C2214yes—
93#2653C2214yes—
94#2650C2214yes—
95#2630C2214yes—
96#2624C2212yes—
97#2618C2214yes—
98#2615C2212yes—
99#2609C2214yes—
100#2602C2214yes—
101#2602C2214yes—
102#2597C2214yes—
103#2594C2214yes—
104#2594C2214yes—
105#2594C2214yes—
106#2593C2214yes—
107#2590C2214yes—
108#2589C2214yes—
109#2587C2214yes—
110#2587C2214yes—
111#2585C2214yes—
112#2582C2212yes—
113#2582C2211yescharacteristic
114#2576C2214yes—
115#2576C2214yes—
116#2571C2211yescharacteristic
117#2570C2212yes—
118#2567C2211yescharacteristic
119#2567C2212yes—
120#2563C2211yescharacteristic
121#2563C2212yes—
122#2562C2212yes—
123#2560C2214yes—
124#2559C2214yes—
125#2554C2214yes—
126#2548C2212yes—
127#2546C2212yes—
128#2545C2214yes—
129#2545C2214yes—
130#2538C2211yescharacteristic
131#2538C2211yescharacteristic
132#2538C2211yescharacteristic
133#2538C2212yes—
134#2538C2211yescharacteristic
135#2538C2211yescharacteristic
136#2537C2211yescharacteristic
137#2536C2212yes—
138#2536C2212yes—
139#2536C2212yes—
140#2536C2212yes—
141#2535C2212yes—
142#2525C2214yes—
143#2522C2214yes—
144#2520C2214yes—
145#2514C2212yes—
146#2513C2212yes—
147#2513C2212yes—
148#2509C2212yes—
149#2509C2212yes—
150#2507C2212yes—
151#2500C2212yes—
152#2500C2212yes—
153#2497C2212yes—
154#2496C2212yes—
155#2495C2212yes—
156#2495C2212yes—
157#2494C2212yes—
158#2494C2212yes—
159#2494C2212yes—
160#2494C2212yes—
161#2494C2212yes—
162#2494C2212yes—
163#2491C2212yes—
164#2491C2212yes—
165#2490C2212yes—
166#2486C2212yes—
167#2485C2212yes—
168#2485C2212yes—
169#2485C2212yes—
170#2485C2212yes—
171#2485C2212yes—
172#2485C2212yes—
173#2476C2212yes—
174#2474C2214yes—
175#2474C2212yes—
176#2470C2214yes—
177#2469C2214yes—
178#2466C2214yes—
179#2463C2214yes—
180#2461C2214yes—
181#2461C2214yes—
182#2459C2212yes—
183#2456C2212yes—
184#2454C2212yes—
185#2453C2212yes—
186#2452C2214yes—
187#2452C2212yes—
188#2451C2211yescharacteristic
189#2451C2214yes—
190#2451C2212yes—
191#2445C2211yescharacteristic
192#2441C2212yes—
193#2440C2214yes—
194#2440C2212yes—
195#2439C2212yes—
196#2439C2212yes—
197#2439C2212yes—
198#2439C2212yes—
199#2439C2214yes—
200#2439C2211yescharacteristic
201#2431C2211yescharacteristic
202#2428C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2211yescharacteristic
207#2423C2212yes—
208#2422C2214yes—
209#2422C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2420C2211yescharacteristic
214#2416C2212yes—
215#2415C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2414C2211yescharacteristic
219#2407C2212yes—
220#2407C2212yes—
221#2407C2211yescharacteristic
222#2407C2212yes—
223#2392C2214yes—
224#2392C2212yes—
225#2388C2212yes—
226#2381C2214yes—
227#2376C2214yes—
228#2374C2214yes—
229#2374C2214yes—
230#2370C2212yes—
231#2369C2214yes—
232#2367C2211yescharacteristic
233#2367C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2362C2211yescharacteristic
241#2361C2212yes—
242#2361C2211yescharacteristic
243#2360C2212yes—
244#2360C2212yes—
245#2357C2212yes—
246#2354C2211yescharacteristic
247#2354C2212yes—
248#2352C2211yescharacteristic
249#2352C2212yes—
250#2351C2212yes—
251#2351C2211yescharacteristic
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256#2347C2212yes—
257#2347C2212yes—
258#2345C2212yes—
259#2341C2211yescharacteristic
260#2341C2212yes—
261Q8×C22⋊C4C2212yes—
262Q8×C22⋊C4C2211yescharacteristic
263#2337C2214yes—
264#2337C2214yes—
265#2335C2214yes—
266#2335C2214yes—
267#2332C2214yes—
268#2323C2212yes—
269#2323C2212yes—
270#2314C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#124C2211yescharacteristic
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×#123C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2297C2212yes—
292#2296C2212yes—
293#2293C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303Q82—44no—
304#555—44no—
305#548—28no—
306#536—216no—
307#532—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2314yes—
314C2×#127C2311yescharacteristic
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#124C2314yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2314yes—
352C4×#41—44no—
353C4×#41—44no—
354C2×C4×Q8—44no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2312yes—
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#401C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2312yes—
498#392C2312yes—
499#392C2314yes—
500#392C2312yes—
501#392C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#388C2314yes—
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#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2314yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#383C2314yes—
718#383C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#381C2314yes—
730#381C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—42no—
827C22×Q8—42no—
828C22×Q8—42no—
829C22×Q8#4118yescomplemented
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×Q8C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C4⋊Q8—216no—
868C4⋊Q8—24no—
869C4⋊Q8—42no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—48no—
873#127—42no—
874#126—84no—
875#125—44no—
876#124—216no—
877#124—24no—
878#124—28no—
879#124—24no—
880#124—44no—
881#124—48no—
882#124—84no—
883#123—216no—
884#123—216no—
885#123—44no—
886#123—48no—
887#123—84no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—24no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—24no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—82no—
899C22⋊Q8—84no—
900#121—24no—
901#121—28no—
902#121—44no—
903#121—44no—
904#121—42no—
905#121—44no—
906#121—42no—
907#121—42no—
908#121—44no—
909#121—44no—
910#121—84no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—42no—
918C4×Q8—42no—
919C4×Q8—42no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—42no—
923C4×Q8—42no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—82no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—84no—
946#117—28no—
947#117—44no—
948#117—44no—
949#117—44no—
950#117—44no—
951#117—42no—
952#117—42no—
953#117—44no—
954#117—44no—
955#117—82no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—42no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—44no—
1088C2×C42—44no—
1089C2×C42—44no—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195#41—416no—
1196#41—416no—
1197#41—816no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—416no—
1216C2×Q8C2×#4114yes—
1217C2×Q8C2×#4114yes—
1218C2×Q8C2×#4118yes—
1219C2×Q82−1+414yes—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—41no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4C2×#4114yes—
1309C22×C4C2×#4118yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2514yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—28no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—41no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C22⋊C4—28no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—41no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C42—28no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—22no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—41no—
1493C42—42no—
1494C42—44no—
1495C42—44no—
1496C42—42no—
1497C42—44no—
1498C42—41no—
1499C42—44no—
1500C42—42no—
1501C42H(5,𝔽2)14yes—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—21no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23C22×#4112yes—
1537C23C2611yescharacteristic
1538Q8—28no—
1539Q8—28no—
1540Q8—28no—
1541Q8—48no—
1542Q8—84no—
1543Q8—84no—
1544Q8—164no—
1545D4—48no—
1546D4—48no—
1547D4—48no—
1548D4—44no—
1549D4—44no—
1550D4—44no—
1551D4—44no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—88no—
1556D4—84no—
1557D4—84no—
1558D4—164no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—28no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—48no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—48no—
1645C2×C4—44no—
1646C2×C4—48no—
1647C2×C4—44no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—82no—
1651C2×C4—84no—
1652C2×C4—164no—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4114yes—
1656C2×C4C22×#4112yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×2−1+414yes—
1661C2×C4C2×2−1+412yes—
1662C2×C4#58512yes—
1663C2×C4#58512yes—
1664C2×C4#58512yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22C23×#4111yescharacteristic
1701C22C22×H(5,𝔽2)11yescharacteristic
1702C22C22×2−1+411yescharacteristic
1703C22C2×#58511yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58511yescharacteristic
1706C22H(7,𝔽2)11yescharacteristic
1707C4—24no—
1708C4—22no—
1709C4—24no—
1710C4—24no—
1711C4—22no—
1712C4—22no—
1713C4—41no—
1714C4—42no—
1715C4—41no—
1716C4—41no—
1717C4—44no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—44no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—44no—
1735C4#350514yes—
1736C4#354114yes—
1737C2—42no—
1738C2—81no—
1739C2—82no—
1740C2—82no—
1741C2—82no—
1742C2C2×#354111yescharacteristic
1743C2C2×#350511yescharacteristic
1744C2#6279311yescharacteristic
1745C2#6293811yescharacteristic
1746C2#6295711yescharacteristic
1747C2#6299911yescharacteristic
1748C2#6303411yescharacteristic
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. #59922C2semidirect
2. #59659C2semidirect
3. #59405C2semidirect
4. #59219C2semidirect
5. #59211C2semidirect
6. #50597C2semidirect
7. #48034C2semidirect
8. #46196C2semidirect
9. #45514C2semidirect
10. #45262C2semidirect
11. #45126C2semidirect
12. #44068C2semidirect
13. #42839C2semidirect
14. #42796C2semidirect
15. #40969C2semidirect
16. #40129C2semidirect
17. #40117C2semidirect
18. #39795C2semidirect
19. #39787C2semidirect
20. #39560C2semidirect
21. #39469C2semidirect
22. #39194C2semidirect
23. #36555C2semidirect
24. Q8×C22⋊Q8C2semidirect
25. #36539C2semidirect
26. #36456C2semidirect
27. #36411C2semidirect
28. #36210C2semidirect
29. #35185C2semidirect
30. #35178C2semidirect
31. #35037C2semidirect
32. #34976C2semidirect
33. #34715C2semidirect
34. #34413C2semidirect
35. C4×#548C2semidirect
829. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599222
#596592
#594052
#592192
#592112
#505972
#480342
#461962
#455142
#452622
#451262
#440682
#428392
#427962
#409692
#401292
#401172
#397952
#397872
#395602
#394692
#391942
#365552
Q8×C22⋊Q82
#365392
#364562
#364112
#362102
#351852
#351782
#350372
#349762
#347152
#344132
C4×#5482