Finite Group Databasebeta

← #7712083

Subgroups — #7712083

Order 512.

5426 conjugacy classes of subgroups.

The subgroup lattice has 1837 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59318C212yesmaximal, complemented
2#59308C212yesmaximal, complemented
3#59232C212yesmaximal, complemented
4#59215C212yesmaximal, complemented
5#45782C214yesmaximal, complemented
6#45473C214yesmaximal, complemented
7#39148C211yesmaximal, characteristic, complemented
8#39146C211yesmaximal, characteristic, complemented
9#38942C211yesmaximal, characteristic, complemented
10#38940C211yesmaximal, characteristic, complemented
11#38062C212yesmaximal, complemented
12#38061C212yesmaximal, complemented
13#37993C214yesmaximal, complemented
14#37975C212yesmaximal, complemented
15#37972C212yesmaximal, complemented
16#37912C214yesmaximal, complemented
17#37839C212yesmaximal, complemented
18#37836C212yesmaximal, complemented
19#37624C211yesmaximal, characteristic, complemented
20#37618C211yesmaximal, characteristic, complemented
21#37293C212yesmaximal, complemented
22#37290C212yesmaximal, complemented
23#36624C211yesmaximal, characteristic, complemented
24#36624C211yesmaximal, characteristic, complemented
25#36596C211yesmaximal, characteristic, complemented
26#36586C211yesmaximal, characteristic, complemented
27#36147C212yesmaximal, complemented
28#36144C212yesmaximal, complemented
29#36126C211yesmaximal, characteristic, complemented
30#36116C211yesmaximal, characteristic, complemented
31#35303C212yesmaximal, complemented
32#35270C212yesmaximal, complemented
33#34393C211yesmaximal, characteristic, complemented
34#34367C211yesmaximal, characteristic, complemented
35C2×#2283C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#547C2212yes—
38C2×#532C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#532C2212yes—
41C2×#529C2212yes—
42C2×#525C2212yes—
43C2×#525C2212yes—
44C23×C42C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2856C2211yescharacteristic
53#2856C2212yes—
54#2855C2212yes—
55#2854C2212yes—
56#2854C2211yescharacteristic
57#2854C2211yescharacteristic
58#2854C2212yes—
59#2854C2212yes—
60#2854C2212yes—
61#2850C2212yes—
62#2850C2212yes—
63#2850C2212yes—
64#2850C2212yes—
65#2850C2212yes—
66#2847C2211yescharacteristic
67#2847C2211yescharacteristic
68#2847C2212yes—
69#2847C2212yes—
70#2847C2212yes—
71#2841C2214yes—
72#2815C2214yes—
73#2775C2214yescomplemented
74#2772C2214yescomplemented
75#2770C2214yescomplemented
76#2764C2214yescomplemented
77#2760C2214yes—
78#2759C2214yescomplemented
79#2756C2214yescomplemented
80#2756C2214yescomplemented
81#2753C2214yescomplemented
82#2752C2214yes—
83#2749C2214yes—
84#2749C2214yes—
85#2749C2214yescomplemented
86#2749C2214yescomplemented
87#2746C2214yes—
88#2746C2214yes—
89#2737C2214yes—
90#2737C2214yes—
91#2706C2214yes—
92#2706C2214yescomplemented
93#2705C2214yes—
94#2703C2214yes—
95#2702C2214yes—
96#2699C2214yes—
97#2699C2214yes—
98#2698C2214yescomplemented
99#2696C2214yes—
100#2693C2214yes—
101#2692C2214yes—
102#2688C2214yes—
103#2688C2214yes—
104#2671C2214yes—
105#2666C2214yescomplemented
106#2660C2212yescomplemented
107#2657C2212yescomplemented
108#2647C2212yescomplemented
109#2645C2212yescomplemented
110#2644C2212yescomplemented
111#2641C2212yescomplemented
112#2640C2212yescomplemented
113#2640C2212yescomplemented
114#2631C2214yescomplemented
115#2629C2212yes—
116#2628C2212yes—
117#2615C2212yes—
118#2615C2212yes—
119#2610C2214yescomplemented
120#2610C2214yescomplemented
121#2603C2214yescomplemented
122#2603C2214yescomplemented
123#2596C2214yescomplemented
124#2578C2214yescomplemented
125#2576C2214yescomplemented
126#2572C2214yescomplemented
127#2571C2211yescharacteristic, complemented
128#2570C2212yescomplemented
129#2563C2212yes—
130#2562C2212yes—
131#2557C2214yes—
132#2554C2214yes—
133#2554C2214yescomplemented
134#2553C2214yescomplemented
135#2552C2211yescharacteristic, complemented
136#2552C2211yescharacteristic, complemented
137#2551C2211yescharacteristic, complemented
138#2550C2212yescomplemented
139#2547C2211yescharacteristic, complemented
140#2547C2211yescharacteristic, complemented
141#2543C2214yes—
142#2543C2214yes—
143#2543C2214yes—
144#2541C2211yescharacteristic, complemented
145#2541C2211yescharacteristic, complemented
146#2539C2214yes—
147#2537C2212yes—
148#2535C2212yes—
149#2535C2212yescomplemented
150#2535C2212yescomplemented
151#2532C2214yescomplemented
152#2530C2214yescomplemented
153#2529C2214yescomplemented
154#2527C2214yescomplemented
155#2518C2214yescomplemented
156#2518C2214yescomplemented
157#2514C2212yescomplemented
158#2512C2212yescomplemented
159#2510C2214yes—
160#2510C2214yes—
161#2510C2214yescomplemented
162#2504C2212yescomplemented
163#2500C2212yescomplemented
164#2496C2212yescomplemented
165#2495C2212yescomplemented
166#2494C2212yescomplemented
167#2494C2212yescomplemented
168#2492C2212yes—
169#2491C2212yescomplemented
170#2490C2212yes—
171#2490C2212yescomplemented
172#2488C2214yes—
173#2488C2214yescomplemented
174#2487C2212yes—
175#2487C2212yes—
176#2486C2212yes—
177#2485C2212yes—
178#2478C2214yescomplemented
179#2471C2214yes—
180#2467C2214yes—
181#2461C2214yescomplemented
182#2459C2214yes—
183#2457C2214yes—
184#2453C2212yescomplemented
185#2452C2212yescomplemented
186#2450C2214yes—
187#2448C2212yescomplemented
188#2447C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2444C2214yes—
192#2442C2212yescomplemented
193#2441C2212yes—
194#2439C2212yes—
195#2439C2212yescomplemented
196#2431C2212yes—
197#2431C2212yes—
198#2430C2214yes—
199#2430C2214yes—
200#2430C2214yes—
201#2428C2212yes—
202#2428C2212yes—
203#2427C2212yes—
204#2426C2212yes—
205#2425C2214yes—
206#2424C2214yes—
207#2424C2214yes—
208#2423C2212yes—
209#2420C2212yes—
210#2420C2212yescomplemented
211#2420C2212yescomplemented
212#2419C2214yes—
213#2419C2214yes—
214#2416C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2414C2212yes—
218#2404C2214yes—
219#2377C2214yes—
220#2377C2214yes—
221#2366C2211yescharacteristic, complemented
222#2366C2211yescharacteristic, complemented
223#2365C2211yescharacteristic, complemented
224#2365C2211yescharacteristic, complemented
225#2364C2214yes—
226#2364C2214yes—
227#2363C2212yes—
228#2363C2214yes—
229#2363C2212yes—
230#2363C2212yescomplemented
231#2361C2212yescomplemented
232#2357C2212yescomplemented
233#2354C2211yescharacteristic, complemented
234#2354C2211yescharacteristic, complemented
235#2352C2212yes—
236#2352C2212yescomplemented
237#2352C2212yescomplemented
238#2349C2212yescomplemented
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic, complemented
241D4×C4⋊C4C2211yescharacteristic, complemented
242#2347C2212yescomplemented
243#2344C2212yescomplemented
244#2341C2212yes—
245#2339C2214yes—
246#2339C2212yes—
247#2337C2214yescomplemented
248#2331C2212yescomplemented
249#2328C2212yescomplemented
250#2328C2212yescomplemented
251#2326C2212yescomplemented
252#2326C2212yescomplemented
253#2326C2212yescomplemented
254#2324C2212yes—
255#2324C2212yes—
256#2320C2212yescomplemented
257#2319C2212yescomplemented
258#2318C2214yescomplemented
259#2311C2212yes—
260#2311C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×#121C2211yescharacteristic
263C4×#121C2212yes—
264C4×#121C2211yescharacteristic
265C4×#121C2211yescharacteristic
266C4×#121C2211yescharacteristic
267C4×#121C2212yes—
268C4×#121C2212yes—
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yes—
273#2297C2212yes—
274#2297C2212yes—
275#2285C2211yescharacteristic
276#2285C2211yescharacteristic
277#2283C2211yescharacteristic
278#2283C2211yescharacteristic
279#2283C2211yescharacteristic
280#2283C2211yescharacteristic
281#2283C2211yescharacteristic
282#2283C2211yescharacteristic
283#2283C2212yes—
284#2283C2212yes—
285#2283C2212yes—
286#2283C2212yes—
287#2283C2211yescharacteristic
288#2283C2211yescharacteristic
289C2×#383C2212yes—
290C2×#382C2211yescharacteristic
291C2×#382C2211yescharacteristic
292C2×#381C2212yes—
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×#376C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2311yescharacteristic
305#553—48no—
306#547—48no—
307#532—28no—
308#532—28no—
309#532—48no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318#529—48no—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328#525—48no—
329#525—48no—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#120C2312yes—
371C2×#120C2314yes—
372C2×#120C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C42—28no—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423#401C2314yes—
424#401C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2311yescharacteristic
683#383C2312yes—
684#383C2314yes—
685#383C2312yes—
686#383C2314yes—
687#383C2312yes—
688#383C2312yes—
689#383C2312yes—
690#383C2312yes—
691#383C2312yes—
692#383C2312yes—
693#382C2314yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2311yescharacteristic
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C25C2411yescharacteristic
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—48no—
825C2×#41—48no—
826C2×#41—48no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4—24no—
855C23×C4—24no—
856C23×C4—24no—
857C23×C4—42no—
858C23×C4—42no—
859C23×C4—42no—
860C23×C4—42no—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2411yescharacteristic
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894#127—24no—
895#127—24no—
896#127—44no—
897#127—44no—
898#126—48no—
899#126—48no—
900#125—44no—
901#125—44no—
902#124—28no—
903#124—28no—
904#124—48no—
905#124—44no—
906#124—44no—
907#123—48no—
908#123—48no—
909#123—44no—
910#123—44no—
911#123—48no—
912#123—48no—
913#123—48no—
914C22⋊Q8—28no—
915C22⋊Q8—44no—
916C22⋊Q8—48no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919#121—28no—
920#121—24no—
921#121—24no—
922#121—28no—
923#121—28no—
924#121—28no—
925#121—24no—
926#121—24no—
927#121—28no—
928#121—44no—
929#121—48no—
930#121—48no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—42no—
935#121—42no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—48no—
944#121—44no—
945#121—48no—
946#121—48no—
947#120—44no—
948#120—44no—
949#120—48no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—48no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—48no—
969C4×D4—48no—
970C4×D4—48no—
971C4×D4—48no—
972#117—44no—
973#117—48no—
974#117—44no—
975#117—44no—
976#117—44no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—24no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—42no—
981C2×C4⋊C4—42no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C22⋊C4—44no—
1034C2×C22⋊C4—44no—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—28no—
1100C2×C42—24no—
1101C2×C42—24no—
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42—24no—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—44no—
1109C2×C42#4118yescomplemented
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24C2512yes—
1217C24C2514yes—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C24C2511yescharacteristic
1221C24C2511yescharacteristic
1222#41—816no—
1223#41—816no—
1224#41—832no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—42no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×Q8—42no—
1233C2×Q8—44no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—28no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—416no—
1357C22×C4—416no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—42no—
1364C22×C4—44no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—416no—
1379C22×C4C2×#4114yes—
1380C22×C4C2×#4114yes—
1381C22×C4C2×#4114yes—
1382C22×C4H(5,𝔽2)14yes—
1383C22×C4H(5,𝔽2)14yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2514yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—28no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—42no—
1545C42—42no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42C2×#4114yes—
1552C42C2×#4114yes—
1553C42C2×#4114yes—
1554C42C2×#4114yes—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—28no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—24no—
1575C23—22no—
1576C23—24no—
1577C23—22no—
1578C23—22no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—24no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—24no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—22no—
1592C23—22no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23C22×#4112yes—
1600C23C2×H(5,𝔽2)12yes—
1601C23C2×H(5,𝔽2)12yes—
1602C23#58512yes—
1603C23#58512yes—
1604C23C2611yescharacteristic
1605Q8—48no—
1606Q8—84no—
1607Q8—88no—
1608D4—48no—
1609D4—416no—
1610D4—48no—
1611D4—48no—
1612D4—44no—
1613D4—44no—
1614D4—48no—
1615D4—84no—
1616D4—84no—
1617D4—84no—
1618D4—88no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—88no—
1624D4—88no—
1625D4—88no—
1626D4—164no—
1627D4—164no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—28no—
1641C2×C4—28no—
1642C2×C4—28no—
1643C2×C4—28no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—88no—
1725C2×C4—84no—
1726C2×C4—84no—
1727C2×C4—84no—
1728C2×C4—88no—
1729C2×C4—88no—
1730C2×C4—88no—
1731C2×C4—164no—
1732C2×C4C22×#4112yes—
1733C2×C4C22×#4112yes—
1734C2×C4C22×#4112yes—
1735C2×C4C22×#4112yes—
1736C2×C4C22×#4112yes—
1737C2×C4C22×#4112yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4#58512yes—
1743C2×C4#58512yes—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—416no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—42no—
1766C22—44no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—44no—
1774C22—42no—
1775C22—44no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22#354614yes—
1787C22C23×#4111yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C2×#58511yescharacteristic
1791C22C2×#58511yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—22no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—44no—
1804C4—42no—
1805C4—42no—
1806C4—44no—
1807C4—42no—
1808C4—41no—
1809C4—41no—
1810C4—42no—
1811C4—42no—
1812C4—44no—
1813C4—41no—
1814C4—41no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4#349414yes—
1822C4#349414yes—
1823C2—24no—
1824C2—42no—
1825C2—42no—
1826C2—82no—
1827C2—84no—
1828C2—82no—
1829C2C2×#354611yescharacteristic
1830C2#6274811yescharacteristic
1831C2C2×#349411yescharacteristic
1832C2C2×#349411yescharacteristic
1833C2#6281411yescharacteristic
1834C2#6282711yescharacteristic
1835C2#6283011yescharacteristic
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. #59318C2semidirect
2. #59308C2semidirect
3. #59232C2semidirect
4. #59215C2semidirect
5. #45782C2semidirect
6. #45473C2semidirect
7. #39148C2semidirect
8. #39146C2semidirect
9. #38942C2semidirect
10. #38940C2semidirect
11. #38062C2semidirect
12. #38061C2semidirect
13. #37993C2semidirect
14. #37975C2semidirect
15. #37972C2semidirect
16. #37912C2semidirect
17. #37839C2semidirect
18. #37836C2semidirect
19. #37624C2semidirect
20. #37618C2semidirect
21. #37293C2semidirect
22. #37290C2semidirect
23. #36624C2semidirect
24. #36624C2semidirect
25. #36596C2semidirect
26. #36586C2semidirect
27. #36147C2semidirect
28. #36144C2semidirect
29. #36126C2semidirect
30. #36116C2semidirect
31. #35303C2semidirect
32. #35270C2semidirect
33. #34393C2semidirect
34. #34367C2semidirect
35. C2×#2283C2semidirect
73. #2775C22semidirect
74. #2772C22semidirect
75. #2770C22semidirect
76. #2764C22semidirect
78. #2759C22semidirect
79. #2756C22semidirect
80. #2756C22semidirect
81. #2753C22semidirect
85. #2749C22semidirect
86. #2749C22semidirect
92. #2706C22semidirect
98. #2698C22semidirect
105. #2666C22semidirect
106. #2660C22semidirect
107. #2657C22semidirect
108. #2647C22semidirect
109. #2645C22semidirect
110. #2644C22semidirect
111. #2641C22semidirect
112. #2640C22semidirect
113. #2640C22semidirect
114. #2631C22semidirect
119. #2610C22semidirect
120. #2610C22semidirect
121. #2603C22semidirect
122. #2603C22semidirect
123. #2596C22semidirect
124. #2578C22semidirect
125. #2576C22semidirect
126. #2572C22semidirect
127. #2571C22semidirect
128. #2570C22semidirect
133. #2554C22semidirect
134. #2553C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
137. #2551C22semidirect
138. #2550C22semidirect
139. #2547C22semidirect
140. #2547C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
149. #2535C22semidirect
150. #2535C22semidirect
151. #2532C22semidirect
152. #2530C22semidirect
153. #2529C22semidirect
154. #2527C22semidirect
155. #2518C22semidirect
156. #2518C22semidirect
157. #2514C22semidirect
158. #2512C22semidirect
161. #2510C22semidirect
162. #2504C22semidirect
163. #2500C22semidirect
164. #2496C22semidirect
165. #2495C22semidirect
166. #2494C22semidirect
167. #2494C22semidirect
169. #2491C22semidirect
171. #2490C22semidirect
173. #2488C22semidirect
178. #2478C22semidirect
181. #2461C22semidirect
184. #2453C22semidirect
185. #2452C22semidirect
187. #2448C22semidirect
188. #2447C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
192. #2442C22semidirect
195. #2439C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
221. #2366C22semidirect
222. #2366C22semidirect
223. #2365C22semidirect
224. #2365C22semidirect
230. #2363C22semidirect
231. #2361C22semidirect
232. #2357C22semidirect
233. #2354C22semidirect
234. #2354C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. #2349C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2347C22semidirect
243. #2344C22semidirect
247. #2337C22semidirect
248. #2331C22semidirect
249. #2328C22semidirect
250. #2328C22semidirect
251. #2326C22semidirect
252. #2326C22semidirect
253. #2326C22semidirect
256. #2320C22semidirect
257. #2319C22semidirect
258. #2318C22semidirect
1109. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#593182
#593082
#592322
#592152
#457822
#454732
#391482
#391462
#389422
#389402
#380622
#380612
#379932
#379752
#379722
#379122
#378392
#378362
#376242
#376182
#372932
#372902
#366242
#365962
#365862
#361472
#361442
#361262
#361162
#353032
#352702
#343932
#343672
C2×#22832