Finite Group Databasebeta

← #7690811

Subgroups — #7690811

Order 512.

5180 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59478C212yesmaximal, complemented
2#59465C211yesmaximal, characteristic, complemented
3#59438C214yesmaximal, complemented
4#59436C212yesmaximal, complemented
5#59391C212yesmaximal, complemented
6#59377C212yesmaximal, complemented
7#59066C211yesmaximal, characteristic, complemented
8#59033C211yesmaximal, characteristic, complemented
9#45412C212yesmaximal, complemented
10#45192C212yesmaximal, complemented
11#43778C214yesmaximal, complemented
12#43776C214yesmaximal, complemented
13#40368C214yesmaximal, complemented
14#40145C212yesmaximal, complemented
15#40057C212yesmaximal, complemented
16#39609C211yesmaximal, characteristic, complemented
17#39149C211yesmaximal, characteristic, complemented
18#39044C212yesmaximal, complemented
19#36586C211yesmaximal, characteristic, complemented
20#36502C212yesmaximal, complemented
21#36473C211yesmaximal, characteristic, complemented
22#36454C211yesmaximal, characteristic, complemented
23#36443C212yesmaximal, complemented
24#36313C211yesmaximal, characteristic, complemented
25#36241C212yesmaximal, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36055C212yesmaximal, complemented
28#36019C212yesmaximal, complemented
29#34969C212yesmaximal, complemented
30#34917C211yesmaximal, characteristic, complemented
31#34289C212yesmaximal, complemented
32#34232C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#552C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#547C2212yes—
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#520C2212yes—
43C2×C4×#41C2212yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2860C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2852C2214yes—
51#2850C2212yes—
52#2786C2214yes—
53#2784C2214yes—
54#2782C2214yes—
55#2778C2214yes—
56#2776C2214yes—
57#2774C2214yes—
58#2760C2214yes—
59#2751C2214yes—
60#2745C2214yes—
61#2745C2214yes—
62#2743C2214yes—
63#2743C2214yes—
64#2742C2214yes—
65#2739C2214yes—
66#2737C2214yes—
67#2706C2214yes—
68#2705C2214yes—
69#2703C2214yes—
70#2694C2214yes—
71#2688C2214yes—
72#2671C2214yes—
73#2649C2214yes—
74#2645C2212yes—
75#2631C2214yes—
76#2628C2212yes—
77#2610C2214yes—
78#2604C2214yes—
79#2602C2214yes—
80#2601C2214yes—
81#2599C2214yes—
82#2599C2214yes—
83#2598C2214yes—
84#2597C2214yes—
85#2596C2214yes—
86#2595C2214yes—
87#2578C2212yes—
88#2576C2212yes—
89#2575C2214yes—
90#2575C2214yes—
91#2571C2211yescharacteristic
92#2570C2211yescharacteristic
93#2570C2212yes—
94#2569C2214yes—
95#2568C2211yescharacteristic
96#2567C2212yes—
97#2566C2211yescharacteristic
98#2564C2214yes—
99#2564C2214yes—
100#2563C2212yes—
101#2563C2212yes—
102#2562C2211yescharacteristic
103#2551C2211yescharacteristic
104#2547C2211yescharacteristic
105#2546C2211yescharacteristic
106#2544C2212yes—
107#2542C2211yescharacteristic
108#2535C2212yes—
109#2535C2211yescharacteristic
110#2535C2212yes—
111#2531C2214yes—
112#2530C2214yes—
113#2528C2214yes—
114#2527C2214yes—
115#2526C2214yes—
116#2524C2214yes—
117#2521C2214yes—
118#2517C2214yes—
119#2515C2212yes—
120#2514C2212yes—
121#2514C2212yes—
122#2514C2212yes—
123#2511C2212yes—
124#2511C2212yes—
125#2510C2214yes—
126#2510C2214yes—
127#2510C2214yes—
128#2509C2212yes—
129#2509C2212yes—
130#2497C2212yes—
131#2497C2211yescharacteristic
132#2496C2212yes—
133#2495C2214yes—
134#2494C2214yes—
135#2494C2211yescharacteristic
136#2494C2212yes—
137#2494C2212yes—
138#2493C2214yes—
139#2493C2214yes—
140#2493C2214yes—
141#2492C2212yes—
142#2492C2212yes—
143#2491C2212yes—
144#2489C2212yes—
145#2487C2212yes—
146#2481C2214yes—
147#2481C2214yes—
148#2481C2214yes—
149#2477C2214yes—
150#2476C2214yes—
151#2470C2214yes—
152#2468C2214yes—
153#2467C2214yes—
154#2467C2214yes—
155#2466C2214yes—
156#2461C2214yes—
157#2459C2214yes—
158#2457C2212yes—
159#2454C2212yes—
160#2454C2212yes—
161#2453C2212yes—
162#2452C2212yes—
163#2452C2212yes—
164#2451C2212yes—
165#2448C2212yes—
166#2447C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2447C2212yes—
170#2446C2212yes—
171#2445C2212yes—
172#2444C2214yes—
173#2443C2214yes—
174#2442C2214yes—
175#2432C2212yes—
176#2431C2212yes—
177#2429C2212yes—
178#2428C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2427C2212yes—
182#2423C2212yes—
183#2422C2211yescharacteristic
184#2422C2212yes—
185#2421C2212yes—
186#2421C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2420C2211yescharacteristic
190#2420C2212yes—
191#2415C2212yes—
192#2407C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2401C2214yes—
197#2401C2212yes—
198#2398C2214yes—
199#2392C2212yes—
200#2373C2212yes—
201#2371C2212yes—
202#2370C2211yescharacteristic
203#2367C2212yes—
204#2367C2212yes—
205#2367C2212yes—
206#2366C2211yescharacteristic
207#2366C2211yescharacteristic
208#2366C2212yes—
209#2366C2211yescharacteristic
210#2365C2212yes—
211#2365C2211yescharacteristic
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2364C2214yes—
216#2363C2214yes—
217#2363C2212yes—
218#2363C2212yes—
219#2363C2212yes—
220#2362C2211yescharacteristic
221#2362C2212yes—
222#2360C2211yescharacteristic
223#2359C2214yes—
224#2359C2214yes—
225#2359C2212yes—
226#2356C2211yescharacteristic
227#2356C2212yes—
228#2355C2212yes—
229#2354C2212yes—
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2353C2214yes—
233#2353C2214yes—
234#2352C2214yes—
235#2352C2211yescharacteristic
236#2352C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238#2349C2212yes—
239#2349C2212yes—
240#2349C2212yes—
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243#2347C2212yes—
244#2346C2211yescharacteristic
245#2344C2214yes—
246#2344C2211yescharacteristic
247#2343C2212yes—
248#2341C2212yes—
249#2341C2212yes—
250#2339C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2339C2212yes—
255#2333C2214yes—
256#2327C2212yes—
257#2325C2214yes—
258#2325C2214yes—
259#2323C2212yes—
260#2322C2214yes—
261#2319C2212yes—
262#2311C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×#127C2211yescharacteristic
265C4×#127C2212yes—
266C4×#125C2212yes—
267C4×#125C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#126C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2214yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#123C2214yes—
280C4×#121C2214yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2295C2212yes—
287#2290C2212yes—
288C2×#387C2214yes—
289#2285C2211yescharacteristic
290#2283C2211yescharacteristic
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#556—48no—
303#552—28no—
304#550—28no—
305#547—216no—
306#532—28no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345#520—48no—
346C4×#41—48no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2314yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398C22×C42C2314yes—
399C22×C42C2312yes—
400#401C2312yes—
401#401C2314yes—
402#401C2314yes—
403#401C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#396C2312yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2312yes—
476#392C2314yes—
477#392C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
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#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#383C2312yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#382C2312yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2314yes—
732#380C2314yes—
733#380C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865#127—28no—
866#127#4118yes—
867#126—28no—
868#126—48no—
869#126—48no—
870#125—28no—
871#125—24no—
872#125—42no—
873#124—28no—
874#124—28no—
875#124—48no—
876#124—44no—
877#123—216no—
878#123—216no—
879#123—28no—
880#123—44no—
881C22⋊Q8—24no—
882C22⋊Q8—28no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8#4118yescomplemented
888#121—28no—
889#121—28no—
890#121—28no—
891#121—28no—
892#121—28no—
893#121—216no—
894#121—216no—
895#121—42no—
896#121—42no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—48no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—42no—
917C4×D4—48no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4—48no—
930C4×D4—44no—
931C4×D4—48no—
932C4×D4—48no—
933#117—24no—
934#117—28no—
935#117—24no—
936#117—28no—
937#117—44no—
938#117—44no—
939#117—48no—
940#117—48no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—216no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—48no—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—48no—
1062C2×C42—44no—
1063C2×C42—44no—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180C24C2511yescharacteristic
1181C24C2512yes—
1182C24C2514yes—
1183C24C2511yescharacteristic
1184#41—432no—
1185#41—432no—
1186#41—816no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8C2×#4114yes—
1199C2×D4—22no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4C2×#4118yes—
1230C2×D4C2×#4118yes—
1231C2×D4C2×#4118yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—28no—
1258C22×C4—24no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4C2×#4114yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4C2×#4118yes—
1377C4⋊C4C2×#4114yes—
1378C4⋊C4H(5,𝔽2)14yes—
1379C22⋊C4—22no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—22no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4C2×#4118yes—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—22no—
1444C42—28no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—28no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—42no—
1462C42—42no—
1463C42—41no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42C2×#4114yes—
1469C23—24no—
1470C23—21no—
1471C23—24no—
1472C23—21no—
1473C23—21no—
1474C23—24no—
1475C23—21no—
1476C23—24no—
1477C23—24no—
1478C23—21no—
1479C23—24no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23C22×#4118yes—
1496C23C22×#4112yes—
1497C23C2611yescharacteristic
1498Q8—28no—
1499Q8—48no—
1500Q8—48no—
1501Q8—88no—
1502D4—216no—
1503D4—216no—
1504D4—48no—
1505D4—416no—
1506D4—416no—
1507D4—44no—
1508D4—44no—
1509D4—88no—
1510D4—84no—
1511D4—88no—
1512D4—84no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—28no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—416no—
1596C2×C4—416no—
1597C2×C4—48no—
1598C2×C4—44no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—82no—
1603C2×C4—82no—
1604C2×C4—88no—
1605C2×C4—84no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—84no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4—164no—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4114yes—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C2×H(5,𝔽2)14yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4#58512yes—
1622C2×C4#58512yes—
1623C2×C4#58512yes—
1624C22—28no—
1625C22—22no—
1626C22—28no—
1627C22—22no—
1628C22—22no—
1629C22—28no—
1630C22—41no—
1631C22—44no—
1632C22—44no—
1633C22—41no—
1634C22—41no—
1635C22—44no—
1636C22—41no—
1637C22—44no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—41no—
1642C22—42no—
1643C22—41no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22C23×#4111yescharacteristic
1653C22C23×#4111yescharacteristic
1654C22C22×H(5,𝔽2)11yescharacteristic
1655C22C2×#58511yescharacteristic
1656C22C2×#58511yescharacteristic
1657C22C2×#58511yescharacteristic
1658C222−1+611yescharacteristic
1659C4—22no—
1660C4—24no—
1661C4—22no—
1662C4—24no—
1663C4—22no—
1664C4—24no—
1665C4—41no—
1666C4—41no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—44no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—44no—
1688C4#348114yes—
1689C4#352114yes—
1690C2—48no—
1691C2—42no—
1692C2—81no—
1693C2—82no—
1694C2C2×#348111yescharacteristic
1695C2C2×#352111yescharacteristic
1696C2#6279311yescharacteristic
1697C2#6292111yescharacteristic
1698C2#6299111yescharacteristic
1699C2#6300911yescharacteristic
1700C2#6301911yescharacteristic
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. #59478C2semidirect
2. #59465C2semidirect
3. #59438C2semidirect
4. #59436C2semidirect
5. #59391C2semidirect
6. #59377C2semidirect
7. #59066C2semidirect
8. #59033C2semidirect
9. #45412C2semidirect
10. #45192C2semidirect
11. #43778C2semidirect
12. #43776C2semidirect
13. #40368C2semidirect
14. #40145C2semidirect
15. #40057C2semidirect
16. #39609C2semidirect
17. #39149C2semidirect
18. #39044C2semidirect
19. #36586C2semidirect
20. #36502C2semidirect
21. #36473C2semidirect
22. #36454C2semidirect
23. #36443C2semidirect
24. #36313C2semidirect
25. #36241C2semidirect
26. #36149C2semidirect
27. #36055C2semidirect
28. #36019C2semidirect
29. #34969C2semidirect
30. #34917C2semidirect
31. #34289C2semidirect
32. #34232C2semidirect
33. #34206C2semidirect
34. C4×#552C2semidirect
35. C4×#550C2semidirect
887. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#594782
#594652
#594382
#594362
#593912
#593772
#590662
#590332
#454122
#451922
#437782
#437762
#403682
#401452
#400572
#396092
#391492
#390442
#365862
#365022
#364732
#364542
#364432
#363132
#362412
#361492
#360552
#360192
#349692
#349172
#342892
#342322
#342062
C4×#5522
C4×#5502