Finite Group Databasebeta

← #7689435

Subgroups — #7689435

Order 512.

5114 conjugacy classes of subgroups.

The subgroup lattice has 1705 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59697C212yesmaximal, complemented
2#59672C211yesmaximal, characteristic, complemented
3#59545C212yesmaximal, complemented
4#59277C214yesmaximal, complemented
5#59057C211yesmaximal, characteristic, complemented
6#59054C212yesmaximal, complemented
7#59052C211yesmaximal, characteristic, complemented
8#59047C212yesmaximal, complemented
9#45193C212yesmaximal, complemented
10#45004C212yesmaximal, complemented
11#43785C214yesmaximal, complemented
12#43779C214yesmaximal, complemented
13#40198C212yesmaximal, complemented
14#40193C212yesmaximal, complemented
15#39352C211yesmaximal, characteristic, complemented
16#38987C211yesmaximal, characteristic, complemented
17#38780C214yesmaximal, complemented
18#38260C212yesmaximal, complemented
19#36481C211yesmaximal, characteristic, complemented
20#36452C212yesmaximal, complemented
21#36292C212yesmaximal, complemented
22#36272C211yesmaximal, characteristic, complemented
23#36192C212yesmaximal, complemented
24#36150C211yesmaximal, characteristic, complemented
25#36117C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35890C212yesmaximal, complemented
28#35798C212yesmaximal, complemented
29#34932C212yesmaximal, complemented
30#34793C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34287C212yesmaximal, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#552C2212yes—
39C2×#540C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#529C2212yes—
43C2×#529C2212yes—
44#2863C2212yes—
45#2859C2212yes—
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2851C2214yes—
51#2850C2212yes—
52#2809C2214yes—
53#2786C2214yes—
54#2786C2214yes—
55#2777C2214yes—
56#2773C2214yes—
57#2761C2214yes—
58#2741C2214yes—
59#2740C2214yes—
60#2740C2214yes—
61#2732C2214yes—
62#2730C2214yes—
63#2727C2214yes—
64#2721C2214yes—
65#2718C2214yes—
66#2707C2214yes—
67#2706C2214yes—
68#2706C2214yes—
69#2694C2214yes—
70#2682C2214yes—
71#2671C2214yes—
72#2671C2214yes—
73#2648C2214yes—
74#2648C2214yes—
75#2644C2212yes—
76#2624C2212yes—
77#2611C2214yes—
78#2606C2214yes—
79#2596C2214yes—
80#2594C2214yes—
81#2578C2214yes—
82#2577C2214yes—
83#2573C2214yes—
84#2565C2214yes—
85#2558C2214yes—
86#2553C2214yes—
87#2553C2214yes—
88#2553C2214yes—
89#2553C2214yes—
90#2552C2211yescharacteristic
91#2552C2212yes—
92#2552C2212yes—
93#2552C2211yescharacteristic
94#2552C2212yes—
95#2548C2211yescharacteristic
96#2547C2212yes—
97#2546C2211yescharacteristic
98#2545C2212yes—
99#2542C2211yescharacteristic
100#2542C2212yes—
101#2541C2211yescharacteristic
102#2540C2212yes—
103#2540C2212yes—
104#2537C2212yes—
105#2530C2212yes—
106#2528C2212yes—
107#2522C2214yes—
108#2522C2214yes—
109#2522C2214yes—
110#2522C2214yes—
111#2522C2214yes—
112#2518C2214yes—
113#2517C2214yes—
114#2517C2212yes—
115#2513C2214yes—
116#2513C2212yes—
117#2512C2212yes—
118#2512C2212yes—
119#2512C2214yes—
120#2511C2211yescharacteristic
121#2510C2214yes—
122#2508C2212yes—
123#2508C2212yes—
124#2507C2212yes—
125#2506C2212yes—
126#2506C2212yes—
127#2506C2211yescharacteristic
128#2501C2212yes—
129#2501C2212yes—
130#2501C2214yes—
131#2499C2211yescharacteristic
132#2496C2214yes—
133#2496C2212yes—
134#2494C2211yescharacteristic
135#2490C2214yes—
136#2490C2212yes—
137#2490C2212yes—
138#2489C2212yes—
139#2489C2211yescharacteristic
140#2485C2211yescharacteristic
141#2479C2214yes—
142#2479C2214yes—
143#2479C2214yes—
144#2471C2214yes—
145#2471C2214yes—
146#2470C2214yes—
147#2470C2214yes—
148#2467C2214yes—
149#2467C2214yes—
150#2460C2214yes—
151#2460C2212yes—
152#2454C2212yes—
153#2454C2212yes—
154#2454C2212yes—
155#2454C2212yes—
156#2454C2212yes—
157#2454C2212yes—
158#2448C2212yes—
159#2448C2212yes—
160#2448C2212yes—
161#2447C2212yes—
162#2445C2212yes—
163#2445C2212yes—
164#2443C2214yes—
165#2441C2214yes—
166#2441C2214yes—
167#2441C2214yes—
168#2441C2212yes—
169#2441C2212yes—
170#2441C2211yescharacteristic
171#2429C2212yes—
172#2429C2212yes—
173#2428C2212yes—
174#2427C2212yes—
175#2427C2212yes—
176#2427C2212yes—
177#2426C2212yes—
178#2426C2212yes—
179#2426C2212yes—
180#2425C2214yes—
181#2425C2214yes—
182#2423C2212yes—
183#2423C2214yes—
184#2422C2212yes—
185#2422C2214yes—
186#2422C2212yes—
187#2417C2212yes—
188#2416C2212yes—
189#2416C2212yes—
190#2415C2212yes—
191#2415C2211yescharacteristic
192#2414C2212yes—
193#2413C2214yes—
194#2407C2212yes—
195#2407C2214yes—
196#2401C2212yes—
197#2395C2214yes—
198#2395C2214yes—
199#2395C2212yes—
200#2374C2214yes—
201#2374C2212yes—
202#2373C2212yes—
203#2372C2214yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2370C2211yescharacteristic
209#2370C2212yes—
210#2370C2212yes—
211#2369C2211yescharacteristic
212#2369C2211yescharacteristic
213#2369C2211yescharacteristic
214#2367C2212yes—
215#2366C2211yescharacteristic
216#2366C2212yes—
217#2366C2211yescharacteristic
218#2366C2212yes—
219#2365C2211yescharacteristic
220#2365C2211yescharacteristic
221#2364C2212yes—
222#2364C2214yes—
223#2363C2212yes—
224#2363C2214yes—
225#2363C2211yescharacteristic
226#2363C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2363C2212yes—
230#2363C2212yes—
231#2361C2212yes—
232#2361C2212yes—
233#2361C2211yescharacteristic
234#2360C2214yes—
235#2360C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2359C2214yes—
239#2357C2211yescharacteristic
240#2355C2212yes—
241#2355C2214yes—
242#2354C2212yes—
243#2354C2212yes—
244#2353C2212yes—
245#2352C2211yescharacteristic
246#2352C2214yes—
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251#2347C2212yes—
252#2347C2211yescharacteristic
253#2345C2212yes—
254#2345C2211yescharacteristic
255#2341C2212yes—
256#2335C2214yes—
257#2333C2214yes—
258#2330C2212yes—
259#2329C2214yes—
260#2329C2214yes—
261#2319C2212yes—
262#2317C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×#123C2212yes—
275C4×#123C2214yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2214yes—
280#2298C2212yes—
281#2297C2214yes—
282#2295C2211yescharacteristic
283#2293C2212yes—
284#2293C2212yes—
285#2293C2212yes—
286C2×#389C2212yes—
287#2285C2214yes—
288#2285C2211yescharacteristic
289#2275C2212yes—
290#2274C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#554—28no—
301#553—28no—
302#552—48no—
303#540—216no—
304#533—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311#529—48no—
312#529—48no—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2314yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C2×#117C2311yescharacteristic
397C2×#117C2314yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2314yes—
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2314yes—
407C22×C42C2312yes—
408#401C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
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#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2314yes—
689#384C2314yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2314yes—
696#383C2312yes—
697#383C2314yes—
698#382C2311yescharacteristic
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#381C2314yes—
706#381C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2314yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
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⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—82no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8#4118yes—
854#127—28no—
855#127—24no—
856#126—28no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—28no—
861#125—28no—
862#125—24no—
863#125—28no—
864#125—24no—
865#125—28no—
866#125—44no—
867#125—48no—
868#125—84no—
869#124—28no—
870#124—44no—
871#124—44no—
872#124—44no—
873#123—216no—
874#123—216no—
875#123—28no—
876#123—48no—
877#123—48no—
878#123—48no—
879#123—84no—
880#123—84no—
881C22⋊Q8—28no—
882C22⋊Q8—216no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—44no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890#121—216no—
891#121—216no—
892#121—24no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—84no—
901#121—82no—
902#121#4118yescomplemented
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—82no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—48no—
928C4×D4—42no—
929C4×D4—48no—
930C4×D4—48no—
931#117—28no—
932#117—28no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—48no—
937#117—42no—
938#117—48no—
939#117—48no—
940#117—84no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—84no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42—48no—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24C2511yescharacteristic
1185C24C2514yes—
1186C24C2511yescharacteristic
1187C24C2512yes—
1188#41—816no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8C2×#4118yes—
1198C2×D4—22no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4C2×#4114yes—
1230C2×D4C2×#4118yes—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—22no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—28no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4C2×#4114yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4C2×#4118yes—
1377C4⋊C4C2×#4118yes—
1378C4⋊C4C2×#4114yes—
1379C4⋊C4H(5,𝔽2)14yes—
1380C4⋊C42−1+414yes—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—41no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4C2×#4118yes—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—28no—
1444C42—24no—
1445C42—22no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—22no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—22no—
1458C42—44no—
1459C42—44no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—42no—
1469C42—42no—
1470C42—44no—
1471C42—41no—
1472C42—41no—
1473C42—44no—
1474C42C2×#4114yes—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—24no—
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—24no—
1493C23—21no—
1494C23—24no—
1495C23—21no—
1496C23—24no—
1497C23—24no—
1498C23—21no—
1499C23—24no—
1500C23—21no—
1501C23C22×#4112yes—
1502C23C22×#4114yes—
1503C23C2611yescharacteristic
1504Q8—48no—
1505Q8—44no—
1506Q8—48no—
1507D4—28no—
1508D4—48no—
1509D4—44no—
1510D4—48no—
1511D4—48no—
1512D4—84no—
1513D4—88no—
1514D4—84no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—28no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—416no—
1600C2×C4—416no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—48no—
1605C2×C4—44no—
1606C2×C4—82no—
1607C2×C4—88no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—88no—
1611C2×C4—84no—
1612C2×C4—88no—
1613C2×C4—84no—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4118yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C2×H(5,𝔽2)14yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×2−1+414yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4#58512yes—
1626C2×C4#58512yes—
1627C22—24no—
1628C22—22no—
1629C22—22no—
1630C22—24no—
1631C22—22no—
1632C22—24no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—42no—
1640C22—41no—
1641C22—41no—
1642C22—44no—
1643C22—41no—
1644C22—44no—
1645C22—44no—
1646C22—41no—
1647C22—44no—
1648C22—41no—
1649C22—41no—
1650C22—44no—
1651C22—41no—
1652C22—44no—
1653C22—41no—
1654C22—44no—
1655C22C23×#4111yescharacteristic
1656C22C23×#4111yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C22×2−1+411yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22H(7,𝔽2)11yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—28no—
1665C4—24no—
1666C4—24no—
1667C4—24no—
1668C4—22no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—44no—
1673C4—42no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—44no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4#348214yes—
1692C4#351714yes—
1693C2—44no—
1694C2—42no—
1695C2—81no—
1696C2—84no—
1697C2C2×#348211yescharacteristic
1698C2#6278111yescharacteristic
1699C2C2×#351711yescharacteristic
1700C2#6295211yescharacteristic
1701C2#6298611yescharacteristic
1702C2#6299011yescharacteristic
1703C2#6301311yescharacteristic
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. #59697C2semidirect
2. #59672C2semidirect
3. #59545C2semidirect
4. #59277C2semidirect
5. #59057C2semidirect
6. #59054C2semidirect
7. #59052C2semidirect
8. #59047C2semidirect
9. #45193C2semidirect
10. #45004C2semidirect
11. #43785C2semidirect
12. #43779C2semidirect
13. #40198C2semidirect
14. #40193C2semidirect
15. #39352C2semidirect
16. #38987C2semidirect
17. #38780C2semidirect
18. #38260C2semidirect
19. #36481C2semidirect
20. #36452C2semidirect
21. #36292C2semidirect
22. #36272C2semidirect
23. #36192C2semidirect
24. #36150C2semidirect
25. #36117C2semidirect
26. #36115C2semidirect
27. #35890C2semidirect
28. #35798C2semidirect
29. #34932C2semidirect
30. #34793C2semidirect
31. #34332C2semidirect
32. #34287C2semidirect
33. #34213C2semidirect
34. C4×#553C2semidirect
35. #34155C2semidirect
902. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596972
#596722
#595452
#592772
#590572
#590542
#590522
#590472
#451932
#450042
#437852
#437792
#401982
#401932
#393522
#389872
#387802
#382602
#364812
#364522
#362922
#362722
#361922
#361502
#361172
#361152
#358902
#357982
#349322
#347932
#343322
#342872
#342132
C4×#5532
#341552