Finite Group Databasebeta

← #7987489

Subgroups — #7987489

Order 512.

5181 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59765C212yesmaximal, complemented
2#59641C211yesmaximal, characteristic, complemented
3#59315C212yesmaximal, complemented
4#59314C211yesmaximal, characteristic, complemented
5#59213C211yesmaximal, characteristic, complemented
6#50776C214yesmaximal, complemented
7#50768C214yesmaximal, complemented
8#46096C214yesmaximal, complemented
9#45417C212yesmaximal, complemented
10#45319C212yesmaximal, complemented
11#45043C212yesmaximal, complemented
12#44942C212yesmaximal, complemented
13#42608C212yesmaximal, complemented
14#42537C212yesmaximal, complemented
15#42514C212yesmaximal, complemented
16#42472C212yesmaximal, complemented
17#39626C211yesmaximal, characteristic, complemented
18#39194C211yesmaximal, characteristic, complemented
19#39147C211yesmaximal, characteristic, complemented
20#39138C211yesmaximal, characteristic, complemented
21#38853C214yesmaximal, complemented
22#38249C212yesmaximal, complemented
23#37869C212yesmaximal, complemented
24#36576C211yesmaximal, characteristic, complemented
25#36496C212yesmaximal, complemented
26#36472C212yesmaximal, complemented
27#36273C211yesmaximal, characteristic, complemented
28#36182C211yesmaximal, characteristic, complemented
29#35216C212yesmaximal, complemented
30#35164C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34708C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35Q8×#117C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#555C2212yes—
38C2×#554C2212yes—
39C2×#553C2212yes—
40C2×#553C2212yes—
41C2×#550C2211yescharacteristic
42C2×#548C2212yes—
43C2×#529C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2866C2214yes—
46#2861C2214yes—
47#2860C2214yes—
48#2859C2211yescharacteristic
49#2858C2212yes—
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2856C2212yes—
53#2838C2214yes—
54#2829C2214yes—
55#2806C2214yes—
56#2801C2214yes—
57#2800C2214yes—
58#2797C2214yes—
59#2796C2214yes—
60#2792C2214yes—
61#2790C2214yes—
62#2780C2214yes—
63#2757C2214yes—
64#2751C2214yes—
65#2748C2214yes—
66#2746C2214yes—
67#2730C2214yes—
68#2720C2214yes—
69#2717C2214yes—
70#2717C2214yes—
71#2714C2214yes—
72#2712C2214yes—
73#2710C2214yes—
74#2710C2214yes—
75#2709C2214yes—
76#2708C2214yes—
77#2704C2214yes—
78#2701C2214yes—
79#2700C2214yes—
80#2692C2214yes—
81#2687C2214yes—
82#2673C2214yes—
83#2672C2214yes—
84#2672C2214yes—
85#2671C2214yes—
86#2671C2214yes—
87#2671C2214yes—
88#2660C2212yes—
89#2654C2214yes—
90#2653C2214yes—
91#2651C2214yes—
92#2648C2214yes—
93#2644C2212yes—
94#2638C2214yes—
95#2630C2214yes—
96#2624C2212yes—
97#2619C2212yes—
98#2610C2214yes—
99#2603C2214yes—
100#2603C2214yes—
101#2595C2214yes—
102#2587C2214yes—
103#2582C2212yes—
104#2580C2212yes—
105#2567C2212yes—
106#2566C2214yes—
107#2566C2212yes—
108#2566C2212yes—
109#2557C2214yes—
110#2555C2214yes—
111#2552C2211yescharacteristic
112#2552C2212yes—
113#2551C2211yescharacteristic
114#2550C2212yes—
115#2548C2212yes—
116#2548C2211yescharacteristic
117#2544C2214yes—
118#2542C2212yes—
119#2541C2212yes—
120#2541C2212yes—
121#2541C2211yescharacteristic
122#2538C2212yes—
123#2538C2211yescharacteristic
124#2537C2212yes—
125#2537C2211yescharacteristic
126#2535C2212yes—
127#2532C2212yes—
128#2531C2214yes—
129#2527C2214yes—
130#2526C2212yes—
131#2521C2214yes—
132#2518C2212yes—
133#2513C2212yes—
134#2513C2211yescharacteristic
135#2512C2212yes—
136#2512C2212yes—
137#2508C2211yescharacteristic
138#2507C2212yes—
139#2506C2212yes—
140#2505C2214yes—
141#2504C2212yes—
142#2501C2212yes—
143#2500C2212yes—
144#2500C2212yes—
145#2500C2211yescharacteristic
146#2497C2211yescharacteristic
147#2496C2212yes—
148#2494C2212yes—
149#2494C2212yes—
150#2491C2212yes—
151#2491C2212yes—
152#2491C2212yes—
153#2491C2211yescharacteristic
154#2490C2212yes—
155#2490C2212yes—
156#2490C2212yes—
157#2487C2212yes—
158#2486C2212yes—
159#2485C2212yes—
160#2485C2211yescharacteristic
161#2481C2212yes—
162#2479C2214yes—
163#2479C2214yes—
164#2478C2214yes—
165#2469C2212yes—
166#2468C2214yes—
167#2464C2214yes—
168#2464C2214yes—
169#2461C2214yes—
170#2461C2214yes—
171#2461C2214yes—
172#2461C2214yes—
173#2461C2214yes—
174#2460C2214yes—
175#2459C2214yes—
176#2459C2212yes—
177#2459C2214yes—
178#2458C2212yes—
179#2455C2214yes—
180#2453C2211yescharacteristic
181#2451C2212yes—
182#2450C2214yes—
183#2449C2214yes—
184#2448C2211yescharacteristic
185#2448C2212yes—
186#2445C2212yes—
187#2443C2212yes—
188#2442C2212yes—
189#2442C2211yescharacteristic
190#2441C2212yes—
191#2440C2212yes—
192#2440C2212yes—
193#2439C2211yescharacteristic
194#2436C2211yescharacteristic
195#2431C2212yes—
196#2428C2212yes—
197#2428C2214yes—
198#2427C2214yes—
199#2426C2212yes—
200#2426C2214yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2211yescharacteristic
204#2425C2214yes—
205#2423C2212yes—
206#2422C2212yes—
207#2422C2214yes—
208#2422C2212yes—
209#2422C2212yes—
210#2422C2212yes—
211#2422C2212yes—
212#2421C2211yescharacteristic
213#2420C2212yes—
214#2416C2212yes—
215#2416C2214yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2211yescharacteristic
219#2414C2212yes—
220#2414C2211yescharacteristic
221#2409C2211yescharacteristic
222#2407C2212yes—
223#2398C2212yes—
224#2398C2212yes—
225#2396C2212yes—
226#2392C2212yes—
227#2383C2214yes—
228#2377C2214yes—
229#2366C2212yes—
230#2366C2211yescharacteristic
231#2363C2212yes—
232#2361C2212yes—
233#2361C2212yes—
234#2361C2212yes—
235#2361C2212yes—
236#2361C2212yes—
237#2361C2212yes—
238#2361C2212yes—
239#2360C2212yes—
240#2359C2214yes—
241#2355C2212yes—
242#2355C2211yescharacteristic
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2354C2211yescharacteristic
246#2352C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250#2349C2212yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2345C2212yes—
255#2345C2214yes—
256#2341C2212yes—
257Q8×C22⋊C4C2212yes—
258#2339C2212yes—
259#2331C2212yes—
260#2330C2212yes—
261#2328C2212yes—
262#2326C2212yes—
263#2326C2212yes—
264#2325C2214yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2322C2214yes—
269#2319C2212yes—
270#2317C2212yes—
271#2314C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2214yes—
276C4×#124C2211yescharacteristic
277C4×#124C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2295C2214yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293C2×#384C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2311yescharacteristic
301#559—48no—
302#555—48no—
303#554—48no—
304#553—48no—
305#553—48no—
306#550—28no—
307#548—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2314yes—
314C2×#127C2312yes—
315#529—28no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×C4×Q8—28no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420#401C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#395C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2312yes—
511#393C2312yes—
512#393C2312yes—
513#393C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2314yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2314yes—
530#391C2312yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2311yescharacteristic
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#384C2314yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#383C2312yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#381C2314yes—
741#381C2312yes—
742#381C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2314yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2312yes—
813#376C2314yes—
814#376C2312yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2314yes—
818C43C2312yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8—24no—
823C22×Q8—24no—
824C22×Q8—42no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#127—24no—
867#127—28no—
868#127—44no—
869#127—48no—
870#126—28no—
871#126—48no—
872#126—48no—
873#125—24no—
874#125—44no—
875#125—44no—
876#125—48no—
877#124—24no—
878#124—28no—
879#124—24no—
880#124—48no—
881#124—48no—
882#124—44no—
883#124—48no—
884#124—48no—
885#124—84no—
886#123—28no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—84no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—24no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—84no—
900#121—24no—
901#121—28no—
902#121—24no—
903#121—28no—
904#121—216no—
905#121—24no—
906#121—28no—
907#121—48no—
908#121—44no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—42no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—84no—
921#121—82no—
922C4×Q8—24no—
923C4×Q8—28no—
924C4×Q8—24no—
925C4×Q8—28no—
926C4×Q8—24no—
927C4×Q8—28no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8#4118yes—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—28no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941C4×D4—48no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—42no—
953C4×D4—84no—
954C4×D4—84no—
955C4×D4—82no—
956#117—28no—
957#117—24no—
958#117—24no—
959#117—28no—
960#117—44no—
961#117—48no—
962#117—44no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—28no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—82no—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C42—24no—
1102C2×C42—28no—
1103C2×C42—24no—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2514yes—
1201C24C2511yescharacteristic
1202C24C2511yescharacteristic
1203#41—816no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—416no—
1218C2×Q8C2×#4114yes—
1219C2×Q8H(5,𝔽2)14yes—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—42no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
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—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
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×C4H(5,𝔽2)14yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4C2×#4114yes—
1412C4⋊C4C2×#4118yes—
1413C4⋊C42−1+414yes—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C42—22no—
1481C42—24no—
1482C42—24no—
1483C42—22no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—24no—
1490C42—28no—
1491C42—22no—
1492C42—24no—
1493C42—28no—
1494C42—24no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—24no—
1501C42—44no—
1502C42—41no—
1503C42—44no—
1504C42—44no—
1505C42—41no—
1506C42—44no—
1507C42—42no—
1508C42—42no—
1509C42—44no—
1510C42C2×#4114yes—
1511C42C2×#4118yes—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—24no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—24no—
1545C23C2×H(5,𝔽2)12yes—
1546C23#58512yes—
1547C23C2611yescharacteristic
1548Q8—28no—
1549Q8—28no—
1550Q8—48no—
1551Q8—84no—
1552Q8—164no—
1553D4—48no—
1554D4—48no—
1555D4—44no—
1556D4—44no—
1557D4—48no—
1558D4—44no—
1559D4—48no—
1560D4—84no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—84no—
1565D4—88no—
1566D4—84no—
1567D4—88no—
1568D4—88no—
1569D4—164no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—28no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—48no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—82no—
1657C2×C4—84no—
1658C2×C4—88no—
1659C2×C4—88no—
1660C2×C4—164no—
1661C2×C4—164no—
1662C2×C4—164no—
1663C2×C4—164no—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4114yes—
1666C2×C4C22×#4114yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)14yes—
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—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—44no—
1701C22—42no—
1702C22—42no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—44no—
1710C22—42no—
1711C22C23×#4111yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×2−1+411yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22H(7,𝔽2)11yescharacteristic
1718C4—22no—
1719C4—24no—
1720C4—24no—
1721C4—22no—
1722C4—24no—
1723C4—24no—
1724C4—42no—
1725C4—42no—
1726C4—41no—
1727C4—44no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4—41no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—41no—
1739C4—44no—
1740C4—42no—
1741C4—42no—
1742C4—44no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4#349414yes—
1747C4#352214yes—
1748C2—42no—
1749C2—42no—
1750C2—84no—
1751C2—82no—
1752C2—82no—
1753C2#6274811yescharacteristic
1754C2C2×#352211yescharacteristic
1755C2C2×#349411yescharacteristic
1756C2#6291611yescharacteristic
1757C2#6295211yescharacteristic
1758C2#6300811yescharacteristic
1759C2#6301511yescharacteristic
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. #59765C2semidirect
2. #59641C2semidirect
3. #59315C2semidirect
4. #59314C2semidirect
5. #59213C2semidirect
6. #50776C2semidirect
7. #50768C2semidirect
8. #46096C2semidirect
9. #45417C2semidirect
10. #45319C2semidirect
11. #45043C2semidirect
12. #44942C2semidirect
13. #42608C2semidirect
14. #42537C2semidirect
15. #42514C2semidirect
16. #42472C2semidirect
17. #39626C2semidirect
18. #39194C2semidirect
19. #39147C2semidirect
20. #39138C2semidirect
21. #38853C2semidirect
22. #38249C2semidirect
23. #37869C2semidirect
24. #36576C2semidirect
25. #36496C2semidirect
26. #36472C2semidirect
27. #36273C2semidirect
28. #36182C2semidirect
29. #35216C2semidirect
30. #35164C2semidirect
31. #34800C2semidirect
32. #34708C2semidirect
33. #34494C2semidirect
34. #34384C2semidirect
35. Q8×#117C2semidirect

Maximal subgroups

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

subgroupindex
#597652
#596412
#593152
#593142
#592132
#507762
#507682
#460962
#454172
#453192
#450432
#449422
#426082
#425372
#425142
#424722
#396262
#391942
#391472
#391382
#388532
#382492
#378692
#365762
#364962
#364722
#362732
#361822
#352162
#351642
#348002
#347082
#344942
#343842
Q8×#1172