Finite Group Databasebeta

← #7986998

Subgroups — #7986998

Order 512.

5026 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59544C212yesmaximal, complemented
2#59428C211yesmaximal, characteristic, complemented
3#59415C212yesmaximal, complemented
4#59134C211yesmaximal, characteristic, complemented
5#59064C211yesmaximal, characteristic, complemented
6#50749C214yesmaximal, complemented
7#50667C214yesmaximal, complemented
8#46048C212yesmaximal, complemented
9#46020C212yesmaximal, complemented
10#45399C212yesmaximal, complemented
11#45360C212yesmaximal, complemented
12#44693C214yesmaximal, complemented
13#42928C212yesmaximal, complemented
14#42762C212yesmaximal, complemented
15#41741C214yesmaximal, complemented
16#40200C212yesmaximal, complemented
17#40131C212yesmaximal, complemented
18#39954C212yesmaximal, complemented
19#39726C211yesmaximal, characteristic, complemented
20#39532C212yesmaximal, complemented
21#38923C211yesmaximal, characteristic, complemented
22#38213C212yesmaximal, complemented
23#36597C211yesmaximal, characteristic, complemented
24#36594C212yesmaximal, complemented
25#36481C211yesmaximal, characteristic, complemented
26#36472C211yesmaximal, characteristic, complemented
27#36271C211yesmaximal, characteristic, complemented
28#36122C211yesmaximal, characteristic, complemented
29#35281C211yesmaximal, characteristic, complemented
30#35191C211yesmaximal, characteristic, complemented
31#35117C212yesmaximal, complemented
32#34951C211yesmaximal, characteristic, complemented
33#34919C211yesmaximal, characteristic, complemented
34#34483C212yesmaximal, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#556C2212yes—
40C2×#556C2212yes—
41C2×#553C2212yes—
42C2×#548C2212yes—
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic
46C2×#529C2211yescharacteristic
47#2868C2212yes—
48#2863C2212yes—
49#2862C2212yes—
50#2861C2212yes—
51#2860C2212yes—
52#2860C2212yes—
53#2858C2212yes—
54#2858C2211yescharacteristic
55#2858C2212yes—
56#2857C2211yescharacteristic
57#2856C2211yescharacteristic
58#2830C2214yes—
59#2823C2214yes—
60#2797C2214yes—
61#2795C2214yes—
62#2795C2214yes—
63#2795C2214yes—
64#2790C2214yes—
65#2790C2214yes—
66#2790C2214yes—
67#2788C2214yes—
68#2784C2214yes—
69#2779C2214yes—
70#2775C2214yes—
71#2761C2214yes—
72#2753C2214yes—
73#2751C2214yes—
74#2749C2214yes—
75#2737C2214yes—
76#2737C2214yes—
77#2730C2214yes—
78#2723C2214yes—
79#2722C2214yes—
80#2716C2214yes—
81#2714C2214yes—
82#2708C2214yes—
83#2707C2214yes—
84#2698C2214yes—
85#2695C2214yes—
86#2695C2214yes—
87#2692C2214yes—
88#2691C2214yes—
89#2689C2214yes—
90#2681C2214yes—
91#2676C2214yes—
92#2672C2214yes—
93#2662C2214yes—
94#2661C2214yes—
95#2660C2214yes—
96#2650C2214yes—
97#2650C2214yes—
98#2637C2214yes—
99#2636C2214yes—
100#2625C2212yes—
101#2620C2212yes—
102#2610C2214yes—
103#2606C2214yes—
104#2603C2214yes—
105#2603C2214yes—
106#2603C2214yes—
107#2601C2214yes—
108#2595C2214yes—
109#2592C2212yes—
110#2592C2212yes—
111#2585C2214yes—
112#2582C2211yescharacteristic
113#2581C2212yes—
114#2574C2214yes—
115#2568C2211yescharacteristic
116#2567C2212yes—
117#2567C2212yes—
118#2560C2214yes—
119#2560C2212yes—
120#2559C2214yes—
121#2558C2212yes—
122#2554C2214yes—
123#2554C2214yes—
124#2552C2211yescharacteristic
125#2550C2211yescharacteristic
126#2549C2214yes—
127#2548C2211yescharacteristic
128#2547C2212yes—
129#2547C2212yes—
130#2547C2211yescharacteristic
131#2546C2211yescharacteristic
132#2546C2211yescharacteristic
133#2546C2211yescharacteristic
134#2546C2211yescharacteristic
135#2545C2212yes—
136#2545C2212yes—
137#2545C2212yes—
138#2545C2211yescharacteristic
139#2545C2212yes—
140#2545C2212yes—
141#2544C2212yes—
142#2541C2211yescharacteristic
143#2540C2211yescharacteristic
144#2538C2212yes—
145#2538C2214yes—
146#2538C2214yes—
147#2536C2211yescharacteristic
148#2532C2214yes—
149#2529C2214yes—
150#2522C2214yes—
151#2521C2214yes—
152#2519C2212yes—
153#2515C2214yes—
154#2512C2214yes—
155#2512C2212yes—
156#2512C2214yes—
157#2512C2214yes—
158#2512C2214yes—
159#2511C2212yes—
160#2509C2212yes—
161#2507C2212yes—
162#2502C2214yes—
163#2496C2212yes—
164#2496C2212yes—
165#2492C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2211yescharacteristic
169#2490C2212yes—
170#2489C2211yescharacteristic
171#2485C2212yes—
172#2481C2214yes—
173#2478C2214yes—
174#2474C2214yes—
175#2468C2214yes—
176#2465C2214yes—
177#2464C2214yes—
178#2461C2212yes—
179#2459C2214yes—
180#2453C2212yes—
181#2453C2212yes—
182#2452C2212yes—
183#2452C2212yes—
184#2452C2212yes—
185#2452C2212yes—
186#2450C2214yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2446C2212yes—
191#2446C2212yes—
192#2446C2212yes—
193#2441C2212yes—
194#2440C2212yes—
195#2439C2212yes—
196#2436C2212yes—
197#2436C2212yes—
198#2434C2212yes—
199#2434C2212yes—
200#2432C2212yes—
201#2432C2212yes—
202#2432C2212yes—
203#2431C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2211yescharacteristic
207#2428C2212yes—
208#2427C2212yes—
209#2427C2212yes—
210#2427C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2426C2212yes—
214#2426C2211yescharacteristic
215#2423C2212yes—
216#2422C2212yes—
217#2420C2212yes—
218#2419C2214yes—
219#2417C2212yes—
220#2417C2212yes—
221#2416C2212yes—
222#2416C2212yes—
223#2414C2212yes—
224#2414C2212yes—
225#2414C2212yes—
226#2402C2214yes—
227#2396C2212yes—
228#2392C2212yes—
229#2383C2214yes—
230#2377C2214yes—
231#2373C2212yes—
232#2373C2212yes—
233#2370C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2366C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2211yescharacteristic
239#2363C2212yes—
240#2363C2212yes—
241#2362C2211yescharacteristic
242#2362C2211yescharacteristic
243#2361C2212yes—
244#2361C2212yes—
245#2361C2212yes—
246#2359C2214yes—
247#2356C2212yes—
248#2355C2211yescharacteristic
249#2354C2214yes—
250#2354C2211yescharacteristic
251#2354C2214yes—
252#2352C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256#2347C2212yes—
257#2347C2211yescharacteristic
258#2347C2211yescharacteristic
259#2344C2212yes—
260Q8×C22⋊C4C2212yes—
261#2339C2212yes—
262#2335C2214yes—
263#2334C2214yes—
264#2332C2214yes—
265#2324C2212yes—
266#2324C2214yes—
267#2324C2212yes—
268#2324C2212yes—
269#2318C2214yes—
270#2317C2212yes—
271#2317C2212yes—
272#2316C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#127C2212yes—
278C4×#125C2212yes—
279C4×#126C2212yes—
280C4×#126C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289#2295C2212yes—
290#2295C2212yes—
291#2293C2212yes—
292#2293C2212yes—
293C42×Q8C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#559—44no—
302#556—28no—
303#556—44no—
304#556—48no—
305#556—48no—
306#553—216no—
307#548—48no—
308#533—44no—
309#532—44no—
310C2×C4⋊Q8—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325#529—44no—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2312yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#125C2312yes—
336C2×#125C2311yescharacteristic
337C2×#125C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#124C2312yes—
351C2×#123C2314yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2314yes—
377C2×#121C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×D4C2314yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2314yes—
417C2×#117C2311yescharacteristic
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#399C2314yes—
433#399C2312yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2312yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2312yes—
540#391C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
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#385C2312yes—
713#385C2312yes—
714#385C2314yes—
715#385C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2314yes—
720#384C2314yes—
721#384C2314yes—
722#384C2314yes—
723#384C2312yes—
724#383C2312yes—
725#383C2312yes—
726#383C2314yes—
727#382C2312yes—
728#382C2314yes—
729#382C2314yes—
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814#376C2314yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2312yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—42no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—42no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870#127—24no—
871#127—44no—
872#126—28no—
873#126—216no—
874#126—28no—
875#126—44no—
876#126—48no—
877#126—48no—
878#126—48no—
879#126—48no—
880#126—48no—
881#125—28no—
882#125—42no—
883#125—44no—
884#124—28no—
885#124—28no—
886#124—24no—
887#124—48no—
888#124—44no—
889#124—42no—
890#124—44no—
891#124—44no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—44no—
897#123—216no—
898#123—44no—
899#123—48no—
900C22⋊Q8—24no—
901C22⋊Q8—24no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—42no—
910C22⋊Q8—42no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913#121—28no—
914#121—28no—
915#121—28no—
916#121—216no—
917#121—44no—
918#121—48no—
919#121—42no—
920#121—42no—
921#121—44no—
922#121—44no—
923#121—44no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—28no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—28no—
930C4×Q8—24no—
931C4×Q8—28no—
932C4×Q8—24no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×Q8—42no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×D4—28no—
940C4×D4—24no—
941C4×D4—28no—
942C4×D4—216no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—48no—
946C4×D4—48no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—42no—
955#117—24no—
956#117—24no—
957#117—24no—
958#117—44no—
959#117—44no—
960#117—48no—
961#117—48no—
962#117—44no—
963#117#4118yescomplemented
964C2×C4⋊C4—28no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24C2511yescharacteristic
1202C24C2514yes—
1203C24C2512yes—
1204C24C2511yescharacteristic
1205#41—816no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—42no—
1230C2×Q8—816no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—41no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4C2×#4114yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2514yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4C2×#4114yes—
1399C4⋊C4C2×#4114yes—
1400C4⋊C42−1+414yes—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—22no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—22no—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—22no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—41no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4C2×#4118yes—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—28no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—24no—
1483C42—42no—
1484C42—41no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—41no—
1492C42—42no—
1493C42—42no—
1494C42—42no—
1495C42—42no—
1496C42C2×#4118yes—
1497C42H(5,𝔽2)14yes—
1498C42H(5,𝔽2)14yes—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—24no—
1507C23—22no—
1508C23—22no—
1509C23—24no—
1510C23—22no—
1511C23—21no—
1512C23—24no—
1513C23—21no—
1514C23—21no—
1515C23—24no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—24no—
1520C23—21no—
1521C23—24no—
1522C23—22no—
1523C23—24no—
1524C23—21no—
1525C23—22no—
1526C23C22×#4112yes—
1527C23C2611yescharacteristic
1528Q8—48no—
1529Q8—44no—
1530Q8—44no—
1531Q8—44no—
1532Q8—48no—
1533Q8—48no—
1534Q8—84no—
1535Q8—88no—
1536D4—44no—
1537D4—48no—
1538D4—44no—
1539D4—48no—
1540D4—88no—
1541D4—88no—
1542D4—84no—
1543D4—84no—
1544D4—88no—
1545D4—84no—
1546D4—88no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—28no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—82no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—164no—
1638C2×C4C22×#4114yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4114yes—
1641C2×C4C22×#4112yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×2−1+414yes—
1649C2×C4C2×2−1+412yes—
1650C2×C4#58512yes—
1651C2×C4#58512yes—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—44no—
1661C22—42no—
1662C22—42no—
1663C22—44no—
1664C22—41no—
1665C22—42no—
1666C22—44no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—44no—
1671C22—42no—
1672C22—44no—
1673C22—41no—
1674C22—42no—
1675C22—44no—
1676C22—41no—
1677C22—41no—
1678C22—44no—
1679C22—42no—
1680C22C23×#4111yescharacteristic
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×2−1+411yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C222−1+611yescharacteristic
1687C4—24no—
1688C4—24no—
1689C4—22no—
1690C4—24no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—41no—
1696C4—41no—
1697C4—44no—
1698C4—44no—
1699C4—42no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4#351114yes—
1717C4#354614yes—
1718C2—42no—
1719C2—81no—
1720C2—84no—
1721C2—82no—
1722C2C2×#354611yescharacteristic
1723C2C2×#351111yescharacteristic
1724C2#6280011yescharacteristic
1725C2#6294611yescharacteristic
1726C2#6295411yescharacteristic
1727C2#6300911yescharacteristic
1728C2#6302511yescharacteristic
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. #59544C2semidirect
2. #59428C2semidirect
3. #59415C2semidirect
4. #59134C2semidirect
5. #59064C2semidirect
6. #50749C2semidirect
7. #50667C2semidirect
8. #46048C2semidirect
9. #46020C2semidirect
10. #45399C2semidirect
11. #45360C2semidirect
12. #44693C2semidirect
13. #42928C2semidirect
14. #42762C2semidirect
15. #41741C2semidirect
16. #40200C2semidirect
17. #40131C2semidirect
18. #39954C2semidirect
19. #39726C2semidirect
20. #39532C2semidirect
21. #38923C2semidirect
22. #38213C2semidirect
23. #36597C2semidirect
24. #36594C2semidirect
25. #36481C2semidirect
26. #36472C2semidirect
27. #36271C2semidirect
28. #36122C2semidirect
29. #35281C2semidirect
30. #35191C2semidirect
31. #35117C2semidirect
32. #34951C2semidirect
33. #34919C2semidirect
34. #34483C2semidirect
35. C4×#556C2semidirect
963. #117#41semidirect

Maximal subgroups

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

subgroupindex
#595442
#594282
#594152
#591342
#590642
#507492
#506672
#460482
#460202
#453992
#453602
#446932
#429282
#427622
#417412
#402002
#401312
#399542
#397262
#395322
#389232
#382132
#365972
#365942
#364812
#364722
#362712
#361222
#352812
#351912
#351172
#349512
#349192
#344832
C4×#5562