Finite Group Databasebeta

← #7688389

Subgroups — #7688389

Order 512.

5230 conjugacy classes of subgroups.

The subgroup lattice has 1741 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59755C212yesmaximal, complemented
2#59641C211yesmaximal, characteristic, complemented
3#59638C212yesmaximal, complemented
4#59544C212yesmaximal, complemented
5#59487C212yesmaximal, complemented
6#59485C212yesmaximal, complemented
7#59417C212yesmaximal, complemented
8#59084C211yesmaximal, characteristic, complemented
9#59080C211yesmaximal, characteristic, complemented
10#44370C214yesmaximal, complemented
11#44281C214yesmaximal, complemented
12#44091C214yesmaximal, complemented
13#40152C212yesmaximal, complemented
14#40151C212yesmaximal, complemented
15#40007C212yesmaximal, complemented
16#40002C212yesmaximal, complemented
17#39249C212yesmaximal, complemented
18#39242C212yesmaximal, complemented
19#36566C212yesmaximal, complemented
20Q8×#124C211yesmaximal, characteristic, complemented
21Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
22#36368C212yesmaximal, complemented
23#36314C211yesmaximal, characteristic, complemented
24#36301C211yesmaximal, characteristic, complemented
25#36286C211yesmaximal, characteristic, complemented
26#36274C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#35718C214yesmaximal, complemented
29#34977C211yesmaximal, characteristic, complemented
30#34955C211yesmaximal, characteristic, complemented
31#34954C211yesmaximal, characteristic, complemented
32#34331C212yesmaximal, complemented
33#34327C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×Q82C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×#548C2212yes—
41C2×#548C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46#2864C2212yes—
47#2864C2212yes—
48#2863C2212yes—
49#2862C2211yescharacteristic
50#2862C2212yes—
51#2857C2212yes—
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2855C2212yes—
55#2808C2214yes—
56#2798C2214yes—
57#2795C2214yes—
58#2793C2214yes—
59#2786C2214yes—
60#2759C2214yes—
61#2759C2214yes—
62#2756C2214yes—
63#2754C2214yes—
64#2741C2214yes—
65#2737C2214yes—
66#2737C2214yes—
67#2731C2214yes—
68#2730C2214yes—
69#2712C2214yes—
70#2710C2214yes—
71#2703C2214yes—
72#2700C2214yes—
73#2696C2214yes—
74#2691C2214yes—
75#2676C2214yes—
76#2653C2214yes—
77#2649C2214yes—
78#2638C2214yes—
79#2610C2214yes—
80#2610C2214yes—
81#2607C2214yes—
82#2605C2214yes—
83#2593C2214yes—
84#2592C2212yes—
85#2592C2212yes—
86#2591C2214yes—
87#2589C2214yes—
88#2589C2214yes—
89#2588C2214yes—
90#2582C2212yes—
91#2582C2211yescharacteristic
92#2581C2212yes—
93#2580C2212yes—
94#2578C2214yes—
95#2574C2214yes—
96#2574C2214yes—
97#2573C2214yes—
98#2572C2214yes—
99#2571C2211yescharacteristic
100#2570C2212yes—
101#2568C2212yes—
102#2568C2211yescharacteristic
103#2568C2211yescharacteristic
104#2567C2212yes—
105#2567C2211yescharacteristic
106#2563C2212yes—
107#2563C2211yescharacteristic
108#2560C2214yes—
109#2557C2214yes—
110#2557C2214yes—
111#2555C2214yes—
112#2548C2211yescharacteristic
113#2548C2211yescharacteristic
114#2548C2211yescharacteristic
115#2541C2211yescharacteristic
116#2535C2212yes—
117#2533C2214yes—
118#2532C2214yes—
119#2530C2214yes—
120#2527C2214yes—
121#2527C2214yes—
122#2521C2214yes—
123#2513C2212yes—
124#2513C2212yes—
125#2511C2212yes—
126#2511C2212yes—
127#2504C2212yes—
128#2501C2212yes—
129#2500C2212yes—
130#2499C2212yes—
131#2498C2214yes—
132#2495C2212yes—
133#2494C2212yes—
134#2494C2212yes—
135#2492C2212yes—
136#2492C2214yes—
137#2492C2212yes—
138#2492C2214yes—
139#2491C2212yes—
140#2491C2212yes—
141#2491C2212yes—
142#2491C2212yes—
143#2488C2214yes—
144#2485C2212yes—
145#2477C2214yes—
146#2477C2214yes—
147#2474C2214yes—
148#2467C2214yes—
149#2465C2214yes—
150#2465C2214yes—
151#2463C2214yes—
152#2463C2214yes—
153#2459C2214yes—
154#2457C2214yes—
155#2455C2214yes—
156#2452C2212yes—
157#2452C2212yes—
158#2452C2212yes—
159#2451C2214yes—
160#2451C2212yes—
161#2451C2212yes—
162#2451C2212yes—
163#2450C2214yes—
164#2448C2212yes—
165#2448C2212yes—
166#2448C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2445C2212yes—
170#2440C2214yes—
171#2440C2212yes—
172#2439C2212yes—
173#2438C2214yes—
174#2436C2212yes—
175#2436C2212yes—
176#2432C2214yes—
177#2431C2212yes—
178#2428C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2422C2212yes—
185#2421C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2419C2214yes—
190#2417C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2409C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2407C2212yes—
197#2398C2214yes—
198#2395C2214yes—
199#2388C2214yes—
200#2373C2212yes—
201#2373C2212yes—
202#2372C2214yes—
203#2369C2211yescharacteristic
204#2368C2214yes—
205#2368C2214yes—
206#2367C2212yes—
207#2367C2211yescharacteristic
208#2367C2214yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2366C2212yes—
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2364C2214yes—
216#2362C2211yescharacteristic
217#2362C2211yescharacteristic
218#2362C2211yescharacteristic
219#2362C2212yes—
220#2362C2212yes—
221#2361C2212yes—
222#2361C2211yescharacteristic
223#2361C2212yes—
224#2359C2214yes—
225#2359C2214yes—
226#2356C2212yes—
227#2356C2212yes—
228#2356C2212yes—
229#2355C2212yes—
230#2355C2211yescharacteristic
231#2354C2214yes—
232#2354C2211yescharacteristic
233#2353C2214yes—
234#2352C2212yes—
235#2352C2212yes—
236#2352C2211yescharacteristic
237#2351C2211yescharacteristic
238Q8×C4⋊C4C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240#2349C2212yes—
241#2349C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243#2347C2211yescharacteristic
244#2347C2211yescharacteristic
245#2344C2212yes—
246#2341C2211yescharacteristic
247Q8×C22⋊C4C2212yes—
248Q8×C22⋊C4C2212yes—
249Q8×C22⋊C4C2211yescharacteristic
250Q8×C22⋊C4C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2337C2214yes—
255#2335C2214yes—
256#2335C2214yes—
257#2332C2214yes—
258#2326C2214yes—
259#2325C2214yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×#127C2212yes—
262C4×#127C2211yescharacteristic
263C4×#126C2212yes—
264C4×#126C2212yes—
265C4×#124C2212yes—
266C4×#124C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283#2297C2212yes—
284#2297C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287C2×#391C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2275C2214yes—
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303C23×Q8C2312yes—
304#559—216no—
305Q82—44no—
306#556—28no—
307D4×Q8—44no—
308#548—28no—
309#548—216no—
310#532—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2311yescharacteristic
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C4×#41—44no—
358C2×C4×Q8—44no—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2314yes—
408C2×#117C2314yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2312yes—
415C22×C42C2312yes—
416#401C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2314yes—
697#384C2312yes—
698#383C2312yes—
699#383C2312yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808#376C2314yes—
809#376C2314yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C43C2312yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—82no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—28no—
832C22×Q8—42no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2414yes—
842C22×Q8C2412yes—
843C22×Q8C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—24no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—48no—
878#127—28no—
879#127—24no—
880#126—28no—
881#126—28no—
882#124—28no—
883#124—28no—
884#124—28no—
885#124—216no—
886#124—28no—
887#124—28no—
888#124—216no—
889#124—44no—
890#124—44no—
891#124—84no—
892#124#4118yescomplemented
893#123—216no—
894#123—216no—
895#123—84no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898C22⋊Q8—216no—
899C22⋊Q8—28no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—82no—
905C22⋊Q8—84no—
906C22⋊Q8#4118yescomplemented
907#121—24no—
908#121—28no—
909#121—216no—
910#121—28no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916C4×Q8—24no—
917C4×Q8—28no—
918C4×Q8—24no—
919C4×Q8—28no—
920C4×Q8—28no—
921C4×Q8—24no—
922C4×Q8—28no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—42no—
930C4×Q8—42no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—216no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—44no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—84no—
957C4×D4—82no—
958#117—24no—
959#117—24no—
960#117—44no—
961#117—42no—
962#117—42no—
963#117—42no—
964#117—84no—
965#117—84no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C42—24no—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42—44no—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2411yescharacteristic
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200C24C2511yescharacteristic
1201C24C2514yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204#41—416no—
1205#41—816no—
1206#41—816no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—28no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—44no—
1225C2×Q8—42no—
1226C2×Q8—44no—
1227C2×Q8—42no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×Q8—416no—
1232C2×Q8—816no—
1233C2×Q8C2×#4114yes—
1234C2×Q8C2×#4114yes—
1235C2×Q82−1+414yes—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—41no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4C2×#4114yes—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—28no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—28no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—41no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4C2×#4114yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4C2×#4114yes—
1406C4⋊C4C2×#4118yes—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—22no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—22no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—22no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—41no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4C2×#4118yes—
1459C22⋊C4C2×#4118yes—
1460C22⋊C4C2×#4118yes—
1461C42—24no—
1462C42—24no—
1463C42—28no—
1464C42—24no—
1465C42—24no—
1466C42—28no—
1467C42—24no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—24no—
1483C42—22no—
1484C42—24no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42—44no—
1495C42—41no—
1496C42—42no—
1497C42—41no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42C2×#4114yes—
1504C42H(5,𝔽2)14yes—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—24no—
1519C23—24no—
1520C23—21no—
1521C23—24no—
1522C23—21no—
1523C23—24no—
1524C23—21no—
1525C23—21no—
1526C23—24no—
1527C23—24no—
1528C23—21no—
1529C23—24no—
1530C23—21no—
1531C23C22×#4112yes—
1532C23C22×#4114yes—
1533C23C2611yescharacteristic
1534Q8—28no—
1535Q8—28no—
1536Q8—28no—
1537Q8—48no—
1538Q8—48no—
1539Q8—48no—
1540Q8—88no—
1541Q8—84no—
1542Q8—164no—
1543D4—28no—
1544D4—416no—
1545D4—44no—
1546D4—48no—
1547D4—48no—
1548D4—48no—
1549D4—48no—
1550D4—48no—
1551D4—88no—
1552D4—88no—
1553D4—88no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—28no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—48no—
1634C2×C4—44no—
1635C2×C4—48no—
1636C2×C4—44no—
1637C2×C4—48no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—82no—
1643C2×C4—88no—
1644C2×C4—88no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4—84no—
1648C2×C4C22×#4114yes—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4114yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4114yes—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×2−1+414yes—
1660C2×C4C2×2−1+412yes—
1661C2×C4#58512yes—
1662C2×C4#58512yes—
1663C22—22no—
1664C22—24no—
1665C22—24no—
1666C22—22no—
1667C22—24no—
1668C22—22no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—44no—
1679C22—44no—
1680C22—41no—
1681C22—41no—
1682C22—44no—
1683C22—41no—
1684C22—44no—
1685C22—44no—
1686C22—41no—
1687C22—41no—
1688C22—44no—
1689C22—41no—
1690C22—44no—
1691C22C23×#4111yescharacteristic
1692C22C23×#4111yescharacteristic
1693C22C22×H(5,𝔽2)11yescharacteristic
1694C22C22×2−1+411yescharacteristic
1695C22C2×#58511yescharacteristic
1696C22C2×#58511yescharacteristic
1697C22H(7,𝔽2)11yescharacteristic
1698C4—22no—
1699C4—24no—
1700C4—24no—
1701C4—22no—
1702C4—24no—
1703C4—22no—
1704C4—22no—
1705C4—24no—
1706C4—22no—
1707C4—42no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—42no—
1717C4—44no—
1718C4—41no—
1719C4—42no—
1720C4—41no—
1721C4—42no—
1722C4—44no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4#351414yes—
1728C4#352014yes—
1729C2—42no—
1730C2—44no—
1731C2—84no—
1732C2—81no—
1733C2#41211yescharacteristic
1734C2C2×#352011yescharacteristic
1735C2C2×#351411yescharacteristic
1736C2#6292411yescharacteristic
1737C2#6299911yescharacteristic
1738C2#6301011yescharacteristic
1739C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59755C2semidirect
2. #59641C2semidirect
3. #59638C2semidirect
4. #59544C2semidirect
5. #59487C2semidirect
6. #59485C2semidirect
7. #59417C2semidirect
8. #59084C2semidirect
9. #59080C2semidirect
10. #44370C2semidirect
11. #44281C2semidirect
12. #44091C2semidirect
13. #40152C2semidirect
14. #40151C2semidirect
15. #40007C2semidirect
16. #40002C2semidirect
17. #39249C2semidirect
18. #39242C2semidirect
19. #36566C2semidirect
20. Q8×#124C2semidirect
21. Q8×C22⋊Q8C2semidirect
22. #36368C2semidirect
23. #36314C2semidirect
24. #36301C2semidirect
25. #36286C2semidirect
26. #36274C2semidirect
27. #36149C2semidirect
28. #35718C2semidirect
29. #34977C2semidirect
30. #34955C2semidirect
31. #34954C2semidirect
32. #34331C2semidirect
33. #34327C2semidirect
34. C4×#556C2semidirect
35. C4×#548C2semidirect
892. #124#41semidirect
906. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597552
#596412
#596382
#595442
#594872
#594852
#594172
#590842
#590802
#443702
#442812
#440912
#401522
#401512
#400072
#400022
#392492
#392422
#365662
Q8×#1242
Q8×C22⋊Q82
#363682
#363142
#363012
#362862
#362742
#361492
#357182
#349772
#349552
#349542
#343312
#343272
C4×#5562
C4×#5482