Finite Group Databasebeta

← #7689629

Subgroups — #7689629

Order 512.

5287 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59974C214yesmaximal, complemented
2#59824C212yesmaximal, complemented
3#59815C211yesmaximal, characteristic, complemented
4#59474C212yesmaximal, complemented
5#59318C212yesmaximal, complemented
6#59258C211yesmaximal, characteristic, complemented
7#59219C211yesmaximal, characteristic, complemented
8#59215C212yesmaximal, complemented
9#45053C212yesmaximal, complemented
10#44935C212yesmaximal, complemented
11#44563C214yesmaximal, complemented
12#43253C214yesmaximal, complemented
13#39996C212yesmaximal, complemented
14#39906C212yesmaximal, complemented
15#39634C211yesmaximal, characteristic, complemented
16#39148C211yesmaximal, characteristic, complemented
17#38317C214yesmaximal, complemented
18#38231C212yesmaximal, complemented
19#36535C211yesmaximal, characteristic, complemented
20#36493C211yesmaximal, characteristic, complemented
21#36493C211yesmaximal, characteristic, complemented
22#36472C211yesmaximal, characteristic, complemented
23#36424C212yesmaximal, complemented
24#36251C212yesmaximal, complemented
25#36211C211yesmaximal, characteristic, complemented
26#36172C212yesmaximal, complemented
27#36044C212yesmaximal, complemented
28#35890C212yesmaximal, complemented
29#34803C211yesmaximal, characteristic, complemented
30#34788C212yesmaximal, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34330C212yesmaximal, complemented
33#34191C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2212yes—
39C2×#550C2212yes—
40C2×#550C2211yescharacteristic
41C2×#547C2212yes—
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2864C2212yes—
45#2860C2212yes—
46#2859C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2214yes—
50#2850C2212yes—
51#2850C2212yes—
52#2797C2214yes—
53#2793C2214yes—
54#2780C2214yes—
55#2780C2214yes—
56#2765C2214yes—
57#2756C2214yes—
58#2752C2214yes—
59#2749C2214yes—
60#2746C2214yes—
61#2740C2214yes—
62#2738C2214yes—
63#2721C2214yes—
64#2706C2214yes—
65#2698C2214yes—
66#2695C2214yes—
67#2688C2214yes—
68#2688C2214yes—
69#2688C2214yes—
70#2682C2214yes—
71#2673C2214yes—
72#2673C2214yes—
73#2648C2214yes—
74#2648C2214yes—
75#2647C2212yes—
76#2644C2212yes—
77#2603C2214yes—
78#2603C2214yes—
79#2590C2214yes—
80#2588C2214yes—
81#2581C2212yes—
82#2578C2214yes—
83#2576C2214yes—
84#2571C2211yescharacteristic
85#2570C2212yes—
86#2565C2212yes—
87#2560C2214yes—
88#2558C2214yes—
89#2556C2214yes—
90#2554C2214yes—
91#2554C2214yes—
92#2554C2214yes—
93#2553C2214yes—
94#2552C2211yescharacteristic
95#2550C2212yes—
96#2541C2211yescharacteristic
97#2541C2211yescharacteristic
98#2540C2212yes—
99#2540C2212yes—
100#2538C2211yescharacteristic
101#2538C2212yes—
102#2538C2211yescharacteristic
103#2537C2212yes—
104#2536C2212yes—
105#2535C2212yes—
106#2535C2212yes—
107#2535C2212yes—
108#2535C2212yes—
109#2533C2212yes—
110#2531C2214yes—
111#2531C2214yes—
112#2530C2214yes—
113#2529C2214yes—
114#2527C2212yes—
115#2525C2214yes—
116#2523C2212yes—
117#2518C2214yes—
118#2516C2214yes—
119#2515C2214yes—
120#2514C2211yescharacteristic
121#2513C2212yes—
122#2513C2212yes—
123#2510C2214yes—
124#2510C2214yes—
125#2510C2214yes—
126#2509C2211yescharacteristic
127#2507C2212yes—
128#2506C2212yes—
129#2504C2212yes—
130#2499C2211yescharacteristic
131#2498C2214yes—
132#2496C2211yescharacteristic
133#2496C2212yes—
134#2494C2212yes—
135#2494C2212yes—
136#2492C2211yescharacteristic
137#2490C2214yes—
138#2490C2212yes—
139#2490C2212yes—
140#2490C2212yes—
141#2488C2214yes—
142#2487C2212yes—
143#2487C2212yes—
144#2486C2212yes—
145#2485C2211yescharacteristic
146#2485C2212yes—
147#2476C2214yes—
148#2475C2214yes—
149#2471C2214yes—
150#2471C2214yes—
151#2471C2214yes—
152#2471C2214yes—
153#2470C2214yes—
154#2467C2214yes—
155#2467C2214yes—
156#2466C2212yes—
157#2464C2214yes—
158#2456C2214yes—
159#2456C2214yes—
160#2454C2212yes—
161#2454C2212yes—
162#2448C2212yes—
163#2448C2212yes—
164#2445C2212yes—
165#2445C2212yes—
166#2444C2214yes—
167#2444C2214yes—
168#2442C2212yes—
169#2439C2211yescharacteristic
170#2431C2212yes—
171#2431C2212yes—
172#2430C2214yes—
173#2430C2214yes—
174#2428C2212yes—
175#2428C2212yes—
176#2425C2214yes—
177#2422C2212yes—
178#2422C2212yes—
179#2422C2212yes—
180#2421C2212yes—
181#2420C2212yes—
182#2420C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2419C2214yes—
186#2417C2212yes—
187#2417C2212yes—
188#2416C2212yes—
189#2416C2212yes—
190#2416C2212yes—
191#2415C2211yescharacteristic
192#2414C2212yes—
193#2414C2212yes—
194#2414C2212yes—
195#2407C2214yes—
196#2401C2214yes—
197#2401C2212yes—
198#2398C2212yes—
199#2395C2214yes—
200#2370C2212yes—
201#2367C2212yes—
202#2367C2212yes—
203#2366C2211yescharacteristic
204#2366C2212yes—
205#2366C2212yes—
206#2366C2211yescharacteristic
207#2366C2212yes—
208#2364C2214yes—
209#2364C2214yes—
210#2363C2214yes—
211#2363C2211yescharacteristic
212#2363C2212yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2211yescharacteristic
217#2363C2212yes—
218#2363C2212yes—
219#2361C2212yes—
220#2360C2212yes—
221#2359C2214yes—
222#2357C2212yes—
223#2357C2212yes—
224#2355C2212yes—
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2354C2212yes—
229#2354C2212yes—
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2353C2214yes—
233#2352C2212yes—
234#2352C2212yes—
235#2352C2212yes—
236#2352C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239#2349C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic
244#2347C2212yes—
245#2346C2212yes—
246#2343C2214yes—
247#2343C2214yes—
248#2341C2211yescharacteristic
249#2341C2211yescharacteristic
250#2339C2214yes—
251#2339C2212yes—
252#2339C2212yes—
253#2335C2214yes—
254#2333C2214yes—
255#2333C2214yes—
256#2328C2212yes—
257#2328C2212yes—
258#2326C2212yes—
259#2320C2212yes—
260#2318C2214yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2212yes—
263C4×#127C2211yescharacteristic
264C4×#127C2212yes—
265C4×#127C2211yescharacteristic
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#124C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×#121C2214yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2297C2214yes—
279#2295C2212yes—
280#2295C2211yescharacteristic
281#2295C2212yes—
282#2293C2212yes—
283#2290C2214yes—
284#2290C2214yes—
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2283C2212yes—
288#2283C2212yes—
289#2283C2211yescharacteristic
290C2×#382C2212yes—
291#2275C2212yes—
292#2275C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2314yes—
302#559—28no—
303#553—48no—
304#552—48no—
305#550—28no—
306#550—216no—
307#547—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#127C2311yescharacteristic
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C4×#41—28no—
353C4×#41—28no—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
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×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2314yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C42C2312yes—
409C22×C42C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2314yes—
413#401C2312yes—
414#401C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2312yes—
481#393C2312yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2312yes—
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
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#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#386C2314yes—
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#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#383C2312yes—
696#383C2314yes—
697#383C2314yes—
698#383C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2311yescharacteristic
711#381C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—216no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—48no—
826C2×#41—84no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868#127—28no—
869#127—28no—
870#127—28no—
871#127—24no—
872#127#4118yes—
873#126—44no—
874#126—48no—
875#126—48no—
876#125—28no—
877#125—44no—
878#125—48no—
879#124—28no—
880#124—28no—
881#123—216no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—84no—
887C22⋊Q8—24no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—42no—
891C22⋊Q8—44no—
892#121—24no—
893#121—24no—
894#121—216no—
895#121—216no—
896#121—28no—
897#121—28no—
898#121—216no—
899#121—28no—
900#121—44no—
901#121—48no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—84no—
910#121—82no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—28no—
915C4×Q8—24no—
916C4×Q8—42no—
917C4×Q8—44no—
918C4×Q8#4118yescomplemented
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—48no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—42no—
949C4×D4—84no—
950C4×D4—82no—
951#117—24no—
952#117—24no—
953#117—28no—
954#117—28no—
955#117—24no—
956#117—42no—
957#117—44no—
958#117—48no—
959#117—82no—
960#117—84no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C42—28no—
1086C2×C42—28no—
1087C2×C42—24no—
1088C2×C42—24no—
1089C2×C42—84no—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2414yes—
1168#95C2411yescharacteristic
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193C24C2514yes—
1194C24C2511yescharacteristic
1195C24C2511yescharacteristic
1196C24C2512yes—
1197C24C2512yes—
1198#41—416no—
1199#41—416no—
1200#41—832no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—42no—
1209C2×Q8C2×#4114yes—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—28no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—28no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—42no—
1234C2×D4—41no—
1235C2×D4—42no—
1236C2×D4—41no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4C2×#4114yes—
1261C2×D4C2×#4114yes—
1262C2×D4C2×#4118yes—
1263C2×D4C2×#4118yes—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—28no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—28no—
1296C22×C4—28no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—41no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—41no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—28no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—41no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4C2×#4114yes—
1408C4⋊C4C2×#4118yes—
1409C4⋊C4H(5,𝔽2)14yes—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—22no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—41no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—22no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—42no—
1493C42—44no—
1494C42—44no—
1495C42—44no—
1496C42—42no—
1497C42—44no—
1498C42—44no—
1499C42—42no—
1500C42—42no—
1501C42—41no—
1502C42—44no—
1503C42—41no—
1504C42—42no—
1505C42C2×#4118yes—
1506C42C2×#4114yes—
1507C42C2×#4114yes—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—21no—
1522C23—21no—
1523C23—24no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—24no—
1529C23—21no—
1530C23—24no—
1531C23—21no—
1532C23—24no—
1533C23—24no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—24no—
1540C23—21no—
1541C23C22×#4114yes—
1542C23C22×#4114yes—
1543C23C2611yescharacteristic
1544Q8—28no—
1545Q8—48no—
1546Q8—44no—
1547D4—28no—
1548D4—28no—
1549D4—48no—
1550D4—48no—
1551D4—48no—
1552D4—48no—
1553D4—416no—
1554D4—44no—
1555D4—48no—
1556D4—48no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—164no—
1564D4—164no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—416no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—48no—
1650C2×C4—48no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—88no—
1654C2×C4—84no—
1655C2×C4—82no—
1656C2×C4—88no—
1657C2×C4—88no—
1658C2×C4—88no—
1659C2×C4—164no—
1660C2×C4—164no—
1661C2×C4C22×#4114yes—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4114yes—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C2×H(5,𝔽2)14yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4#58512yes—
1672C2×C4#58512yes—
1673C2×C4#58512yes—
1674C22—24no—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—24no—
1679C22—24no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—44no—
1693C22—41no—
1694C22—44no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—44no—
1700C22—41no—
1701C22—41no—
1702C22—44no—
1703C22—41no—
1704C22—41no—
1705C22—44no—
1706C22—41no—
1707C22—44no—
1708C22—41no—
1709C22C23×#4111yescharacteristic
1710C22C23×#4111yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22C2×#58511yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22H(7,𝔽2)11yescharacteristic
1716C4—24no—
1717C4—22no—
1718C4—22no—
1719C4—24no—
1720C4—22no—
1721C4—22no—
1722C4—24no—
1723C4—44no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—44no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—44no—
1744C4#347514yes—
1745C4#351714yes—
1746C2—44no—
1747C2—44no—
1748C2—84no—
1749C2—81no—
1750C2—81no—
1751C2C2×#347511yescharacteristic
1752C2#6278111yescharacteristic
1753C2C2×#351711yescharacteristic
1754C2#6296911yescharacteristic
1755C2#6298311yescharacteristic
1756C2#6300811yescharacteristic
1757C2#6303511yescharacteristic
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. #59974C2semidirect
2. #59824C2semidirect
3. #59815C2semidirect
4. #59474C2semidirect
5. #59318C2semidirect
6. #59258C2semidirect
7. #59219C2semidirect
8. #59215C2semidirect
9. #45053C2semidirect
10. #44935C2semidirect
11. #44563C2semidirect
12. #43253C2semidirect
13. #39996C2semidirect
14. #39906C2semidirect
15. #39634C2semidirect
16. #39148C2semidirect
17. #38317C2semidirect
18. #38231C2semidirect
19. #36535C2semidirect
20. #36493C2semidirect
21. #36493C2semidirect
22. #36472C2semidirect
23. #36424C2semidirect
24. #36251C2semidirect
25. #36211C2semidirect
26. #36172C2semidirect
27. #36044C2semidirect
28. #35890C2semidirect
29. #34803C2semidirect
30. #34788C2semidirect
31. #34331C2semidirect
32. #34330C2semidirect
33. #34191C2semidirect
34. C4×#550C2semidirect
35. #34127C2semidirect
918. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599742
#598242
#598152
#594742
#593182
#592582
#592192
#592152
#450532
#449352
#445632
#432532
#399962
#399062
#396342
#391482
#383172
#382312
#365352
#364932
#364722
#364242
#362512
#362112
#361722
#360442
#358902
#348032
#347882
#343312
#343302
#341912
C4×#5502
#341272