Finite Group Databasebeta

← #7689506

Subgroups — #7689506

Order 512.

5246 conjugacy classes of subgroups.

The subgroup lattice has 1747 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59953C212yesmaximal, complemented
2#59676C212yesmaximal, complemented
3#59639C211yesmaximal, characteristic, complemented
4#59513C214yesmaximal, complemented
5#59430C212yesmaximal, complemented
6#59305C211yesmaximal, characteristic, complemented
7#59280C212yesmaximal, complemented
8#59217C211yesmaximal, characteristic, complemented
9#45396C212yesmaximal, complemented
10#44885C212yesmaximal, complemented
11#44682C214yesmaximal, complemented
12#43376C214yesmaximal, complemented
13#40148C212yesmaximal, complemented
14#40140C212yesmaximal, complemented
15#39340C211yesmaximal, characteristic, complemented
16#38965C211yesmaximal, characteristic, complemented
17#38867C214yesmaximal, complemented
18#37973C212yesmaximal, complemented
19#36553C212yesmaximal, complemented
20#36453C212yesmaximal, complemented
21#36453C211yesmaximal, characteristic, complemented
22#36450C211yesmaximal, characteristic, complemented
23#36404C211yesmaximal, characteristic, complemented
24#36280C212yesmaximal, complemented
25#36272C211yesmaximal, characteristic, complemented
26#36189C211yesmaximal, characteristic, complemented
27#35772C212yesmaximal, complemented
28#35758C212yesmaximal, complemented
29#34970C212yesmaximal, complemented
30#34715C211yesmaximal, characteristic, complemented
31#34308C211yesmaximal, characteristic, complemented
32#34274C212yesmaximal, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#552C2212yes—
38C2×#547C2211yescharacteristic
39C2×#537C2212yes—
40C2×#532C2211yescharacteristic
41C2×#520C2212yes—
42C2×#520C2212yes—
43C2×C4×#41C2211yescharacteristic
44#2863C2212yes—
45#2859C2211yescharacteristic
46#2859C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2855C2212yes—
51#2855C2214yes—
52#2801C2214yes—
53#2798C2214yes—
54#2790C2214yes—
55#2783C2214yes—
56#2781C2214yes—
57#2768C2214yes—
58#2762C2214yes—
59#2761C2214yes—
60#2757C2214yes—
61#2756C2214yes—
62#2750C2214yes—
63#2749C2214yes—
64#2743C2214yes—
65#2741C2214yes—
66#2704C2214yes—
67#2700C2214yes—
68#2688C2214yes—
69#2686C2214yes—
70#2676C2214yes—
71#2672C2214yes—
72#2671C2214yes—
73#2636C2214yes—
74#2630C2214yes—
75#2629C2212yes—
76#2616C2212yes—
77#2612C2214yes—
78#2611C2214yes—
79#2609C2214yes—
80#2606C2214yes—
81#2602C2214yes—
82#2601C2214yes—
83#2596C2214yes—
84#2594C2214yes—
85#2592C2212yes—
86#2588C2214yes—
87#2587C2214yes—
88#2585C2214yes—
89#2584C2212yes—
90#2579C2214yes—
91#2577C2214yes—
92#2576C2214yes—
93#2576C2214yes—
94#2576C2214yes—
95#2574C2214yes—
96#2573C2214yes—
97#2570C2212yes—
98#2568C2211yescharacteristic
99#2566C2212yes—
100#2562C2212yes—
101#2553C2214yes—
102#2552C2211yescharacteristic
103#2552C2211yescharacteristic
104#2543C2214yes—
105#2542C2211yescharacteristic
106#2538C2211yescharacteristic
107#2538C2212yes—
108#2537C2212yes—
109#2537C2211yescharacteristic
110#2537C2212yes—
111#2531C2214yes—
112#2531C2214yes—
113#2528C2214yes—
114#2526C2214yes—
115#2526C2214yes—
116#2514C2212yes—
117#2513C2212yes—
118#2511C2212yes—
119#2511C2212yes—
120#2510C2214yes—
121#2507C2212yes—
122#2507C2212yes—
123#2507C2212yes—
124#2505C2214yes—
125#2502C2212yes—
126#2499C2212yes—
127#2499C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2497C2212yes—
131#2496C2212yes—
132#2494C2212yes—
133#2494C2212yes—
134#2494C2212yes—
135#2494C2214yes—
136#2492C2212yes—
137#2490C2212yes—
138#2489C2212yes—
139#2489C2212yes—
140#2487C2212yes—
141#2485C2214yes—
142#2485C2212yes—
143#2476C2214yes—
144#2476C2214yes—
145#2476C2212yes—
146#2474C2212yes—
147#2473C2214yes—
148#2471C2214yes—
149#2470C2214yes—
150#2469C2214yes—
151#2467C2214yes—
152#2462C2214yes—
153#2460C2214yes—
154#2460C2214yes—
155#2460C2214yes—
156#2459C2212yes—
157#2457C2214yes—
158#2456C2212yes—
159#2456C2214yes—
160#2454C2212yes—
161#2451C2211yescharacteristic
162#2450C2214yes—
163#2445C2211yescharacteristic
164#2443C2214yes—
165#2442C2212yes—
166#2442C2212yes—
167#2441C2212yes—
168#2441C2212yes—
169#2440C2212yes—
170#2440C2212yes—
171#2439C2211yescharacteristic
172#2438C2214yes—
173#2431C2211yescharacteristic
174#2428C2212yes—
175#2427C2212yes—
176#2427C2214yes—
177#2426C2211yescharacteristic
178#2423C2212yes—
179#2422C2212yes—
180#2421C2212yes—
181#2420C2212yes—
182#2420C2212yes—
183#2420C2211yescharacteristic
184#2417C2212yes—
185#2417C2212yes—
186#2417C2212yes—
187#2416C2212yes—
188#2416C2212yes—
189#2415C2212yes—
190#2415C2212yes—
191#2414C2211yescharacteristic
192#2407C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2211yescharacteristic
196#2395C2214yes—
197#2392C2212yes—
198#2392C2214yes—
199#2388C2212yes—
200#2372C2212yes—
201#2372C2212yes—
202#2369C2211yescharacteristic
203#2365C2211yescharacteristic
204#2363C2214yes—
205#2363C2212yes—
206#2363C2212yes—
207#2363C2211yescharacteristic
208#2363C2211yescharacteristic
209#2362C2214yes—
210#2362C2212yes—
211#2362C2212yes—
212#2361C2212yes—
213#2361C2212yes—
214#2361C2214yes—
215#2361C2212yes—
216#2361C2212yes—
217#2361C2212yes—
218#2361C2214yes—
219#2360C2212yes—
220#2360C2212yes—
221#2360C2212yes—
222#2360C2212yes—
223#2360C2214yes—
224#2359C2214yes—
225#2355C2212yes—
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2212yes—
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2354C2212yes—
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2352C2212yes—
235#2352C2212yes—
236#2352C2212yes—
237#2352C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2212yes—
244#2347C2212yes—
245#2346C2211yescharacteristic
246#2346C2211yescharacteristic
247#2346C2212yes—
248#2345C2212yes—
249#2345C2212yes—
250#2345C2212yes—
251#2344C2212yes—
252#2343C2214yes—
253#2343C2214yes—
254#2339C2212yes—
255#2339C2212yes—
256#2326C2214yes—
257#2325C2214yes—
258#2325C2214yes—
259#2323C2212yes—
260#2322C2214yes—
261#2316C2212yes—
262#2311C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2212yes—
267C4×#125C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×#124C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×#123C2214yes—
273C4×#123C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2214yes—
280C4×#121C2211yescharacteristic
281C4×#121C2214yes—
282#2297C2212yes—
283#2297C2212yes—
284#2295C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287C2×#389C2212yes—
288#2290C2214yes—
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302#555—28no—
303#552—48no—
304#547—28no—
305#537—216no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2311yescharacteristic
346#520—48no—
347#520—48no—
348C4×#41—28no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2314yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C42C2312yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2314yes—
410#401C2314yes—
411#401C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#393C2312yes—
482#392C2312yes—
483#392C2312yes—
484#392C2314yes—
485#392C2312yes—
486#392C2314yes—
487#392C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#383C2314yes—
699#383C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#381C2314yes—
711#381C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—42no—
826C2×#41—42no—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867#127—24no—
868#126—48no—
869#125—44no—
870#125—48no—
871#125—44no—
872#125—82no—
873#124—28no—
874#124—28no—
875#124—28no—
876#124—42no—
877#123—28no—
878#123—216no—
879#123—48no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—44no—
885C22⋊Q8—42no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—84no—
889#121—24no—
890#121—28no—
891#121—216no—
892#121—216no—
893#121—28no—
894#121—24no—
895#121—28no—
896#121—24no—
897#121—28no—
898#121—216no—
899#121—42no—
900#121—44no—
901#121—84no—
902#121#4118yescomplemented
903C4×Q8—24no—
904C4×Q8—28no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—48no—
908C4×Q8—44no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4—48no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—48no—
931C4×D4—48no—
932C4×D4—84no—
933C4×D4—84no—
934C4×D4—84no—
935C4×D4#4118yes—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—28no—
942#117—28no—
943#117—28no—
944#117—44no—
945#117—48no—
946#117—48no—
947#117—44no—
948#117—44no—
949#117—82no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—28no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—48no—
958C2×C4⋊C4—82no—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C42—28no—
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—44no—
1086C2×C42—84no—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24C2511yescharacteristic
1191C24C2512yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194C24C2512yes—
1195#41—432no—
1196#41—432no—
1197#41—416no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—41no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4C2×#4114yes—
1250C2×D4C2×#4114yes—
1251C2×D4C2×#4118yes—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—28no—
1283C22×C4—28no—
1284C22×C4—28no—
1285C22×C4—24no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4C2×#4118yes—
1308C22×C4C2×#4114yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—41no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4C2×#4114yes—
1400C4⋊C4C2×#4114yes—
1401C4⋊C4H(5,𝔽2)14yes—
1402C4⋊C42−1+414yes—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—22no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4C2×#4118yes—
1461C22⋊C4C2×#4118yes—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—28no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—22no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42—44no—
1494C42—44no—
1495C42—44no—
1496C42—42no—
1497C42—41no—
1498C42C2×#4114yes—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23C22×#4112yes—
1532C23C22×#4114yes—
1533C23C22×#4114yes—
1534C23C2611yescharacteristic
1535Q8—48no—
1536Q8—48no—
1537Q8—44no—
1538Q8—84no—
1539D4—28no—
1540D4—28no—
1541D4—48no—
1542D4—48no—
1543D4—44no—
1544D4—48no—
1545D4—48no—
1546D4—48no—
1547D4—416no—
1548D4—48no—
1549D4—44no—
1550D4—88no—
1551D4—84no—
1552D4—84no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—216no—
1570C2×C4—28no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—416no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—44no—
1642C2×C4—88no—
1643C2×C4—84no—
1644C2×C4—88no—
1645C2×C4—88no—
1646C2×C4—164no—
1647C2×C4—164no—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4114yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4114yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4112yes—
1655C2×C4C2×H(5,𝔽2)14yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×2−1+412yes—
1658C2×C4C2×2−1+412yes—
1659C2×C4C2×2−1+412yes—
1660C2×C4#58512yes—
1661C2×C4#58512yes—
1662C22—22no—
1663C22—24no—
1664C22—24no—
1665C22—24no—
1666C22—24no—
1667C22—22no—
1668C22—22no—
1669C22—24no—
1670C22—24no—
1671C22—42no—
1672C22—41no—
1673C22—42no—
1674C22—42no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—41no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22C23×#4111yescharacteristic
1698C22C23×#4111yescharacteristic
1699C22C22×H(5,𝔽2)11yescharacteristic
1700C22C22×2−1+411yescharacteristic
1701C22C2×#58511yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22H(7,𝔽2)11yescharacteristic
1704C4—24no—
1705C4—22no—
1706C4—22no—
1707C4—22no—
1708C4—22no—
1709C4—24no—
1710C4—24no—
1711C4—22no—
1712C4—44no—
1713C4—42no—
1714C4—41no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—44no—
1727C4—44no—
1728C4—42no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4#348114yes—
1733C4#349314yes—
1734C2—42no—
1735C2—44no—
1736C2—44no—
1737C2—81no—
1738C2—82no—
1739C2C2×#348111yescharacteristic
1740C2C2×#349311yescharacteristic
1741C2#6280511yescharacteristic
1742C2#6292011yescharacteristic
1743C2#6299211yescharacteristic
1744C2#6300011yescharacteristic
1745C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59953C2semidirect
2. #59676C2semidirect
3. #59639C2semidirect
4. #59513C2semidirect
5. #59430C2semidirect
6. #59305C2semidirect
7. #59280C2semidirect
8. #59217C2semidirect
9. #45396C2semidirect
10. #44885C2semidirect
11. #44682C2semidirect
12. #43376C2semidirect
13. #40148C2semidirect
14. #40140C2semidirect
15. #39340C2semidirect
16. #38965C2semidirect
17. #38867C2semidirect
18. #37973C2semidirect
19. #36553C2semidirect
20. #36453C2semidirect
21. #36453C2semidirect
22. #36450C2semidirect
23. #36404C2semidirect
24. #36280C2semidirect
25. #36272C2semidirect
26. #36189C2semidirect
27. #35772C2semidirect
28. #35758C2semidirect
29. #34970C2semidirect
30. #34715C2semidirect
31. #34308C2semidirect
32. #34274C2semidirect
33. #34207C2semidirect
34. C4×#555C2semidirect
35. #34127C2semidirect
902. #121#41semidirect

Maximal subgroups

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

subgroupindex
#599532
#596762
#596392
#595132
#594302
#593052
#592802
#592172
#453962
#448852
#446822
#433762
#401482
#401402
#393402
#389652
#388672
#379732
#365532
#364532
#364502
#364042
#362802
#362722
#361892
#357722
#357582
#349702
#347152
#343082
#342742
#342072
C4×#5552
#341272