Finite Group Databasebeta

← #7690136

Subgroups — #7690136

Order 512.

5144 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59953C212yesmaximal, complemented
2#59842C212yesmaximal, complemented
3#59813C214yesmaximal, complemented
4#59677C212yesmaximal, complemented
5#59665C211yesmaximal, characteristic, complemented
6#59643C212yesmaximal, complemented
7#59136C211yesmaximal, characteristic, complemented
8#59057C211yesmaximal, characteristic, complemented
9#45067C212yesmaximal, complemented
10#44888C212yesmaximal, complemented
11#44602C214yesmaximal, complemented
12#43379C214yesmaximal, complemented
13#40198C212yesmaximal, complemented
14#40188C212yesmaximal, complemented
15#39352C211yesmaximal, characteristic, complemented
16#38985C211yesmaximal, characteristic, complemented
17#38776C214yesmaximal, complemented
18#38266C212yesmaximal, complemented
19#36479C212yesmaximal, complemented
20#36463C211yesmaximal, characteristic, complemented
21#36460C211yesmaximal, characteristic, complemented
22#36453C212yesmaximal, complemented
23#36301C211yesmaximal, characteristic, complemented
24#36287C211yesmaximal, characteristic, complemented
25#36265C212yesmaximal, complemented
26#36122C211yesmaximal, characteristic, complemented
27#36073C212yesmaximal, complemented
28#35897C212yesmaximal, complemented
29#34969C212yesmaximal, complemented
30#34793C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34287C212yesmaximal, complemented
33#34216C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#552C2214yes—
39C2×#548C2212yes—
40C2×#540C2212yes—
41C2×#532C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43#2864C2212yes—
44#2860C2212yes—
45#2859C2212yes—
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2855C2214yes—
50#2854C2212yes—
51#2800C2214yes—
52#2799C2214yes—
53#2783C2214yes—
54#2779C2214yes—
55#2773C2214yes—
56#2772C2214yes—
57#2741C2214yes—
58#2740C2214yes—
59#2730C2214yes—
60#2729C2214yes—
61#2715C2214yes—
62#2715C2214yes—
63#2710C2214yes—
64#2707C2214yes—
65#2706C2214yes—
66#2702C2214yes—
67#2700C2214yes—
68#2686C2214yes—
69#2672C2214yes—
70#2671C2214yes—
71#2671C2214yes—
72#2651C2214yes—
73#2648C2214yes—
74#2644C2212yes—
75#2624C2212yes—
76#2612C2214yes—
77#2611C2214yes—
78#2609C2214yes—
79#2608C2214yes—
80#2607C2214yes—
81#2604C2214yes—
82#2592C2212yes—
83#2584C2212yes—
84#2576C2214yes—
85#2576C2214yes—
86#2574C2214yes—
87#2571C2211yescharacteristic
88#2567C2211yescharacteristic
89#2563C2211yescharacteristic
90#2559C2214yes—
91#2559C2214yes—
92#2557C2214yes—
93#2557C2214yes—
94#2556C2214yes—
95#2556C2214yes—
96#2552C2211yescharacteristic
97#2550C2212yes—
98#2550C2212yes—
99#2548C2211yescharacteristic
100#2545C2212yes—
101#2541C2211yescharacteristic
102#2540C2212yes—
103#2538C2212yes—
104#2537C2212yes—
105#2531C2214yes—
106#2530C2212yes—
107#2530C2214yes—
108#2528C2212yes—
109#2527C2214yes—
110#2527C2214yes—
111#2526C2214yes—
112#2526C2214yes—
113#2522C2214yes—
114#2519C2214yes—
115#2517C2212yes—
116#2516C2214yes—
117#2513C2212yes—
118#2512C2212yes—
119#2512C2212yes—
120#2512C2212yes—
121#2511C2211yescharacteristic
122#2509C2212yes—
123#2509C2212yes—
124#2506C2212yes—
125#2506C2212yes—
126#2506C2212yes—
127#2506C2211yescharacteristic
128#2501C2212yes—
129#2500C2212yes—
130#2499C2211yescharacteristic
131#2497C2212yes—
132#2494C2214yes—
133#2494C2212yes—
134#2494C2211yescharacteristic
135#2494C2212yes—
136#2492C2212yes—
137#2491C2212yes—
138#2491C2212yes—
139#2490C2214yes—
140#2490C2212yes—
141#2490C2212yes—
142#2489C2211yescharacteristic
143#2488C2214yes—
144#2485C2212yes—
145#2485C2211yescharacteristic
146#2485C2214yes—
147#2481C2214yes—
148#2477C2214yes—
149#2477C2214yes—
150#2470C2214yes—
151#2465C2214yes—
152#2460C2214yes—
153#2460C2214yes—
154#2460C2212yes—
155#2459C2214yes—
156#2458C2214yes—
157#2454C2212yes—
158#2454C2212yes—
159#2453C2214yes—
160#2452C2212yes—
161#2452C2212yes—
162#2452C2212yes—
163#2452C2212yes—
164#2448C2214yes—
165#2447C2212yes—
166#2445C2212yes—
167#2445C2212yes—
168#2444C2214yes—
169#2442C2212yes—
170#2441C2212yes—
171#2441C2211yescharacteristic
172#2440C2212yes—
173#2436C2212yes—
174#2432C2212yes—
175#2428C2212yes—
176#2427C2212yes—
177#2427C2214yes—
178#2426C2212yes—
179#2426C2214yes—
180#2423C2212yes—
181#2422C2212yes—
182#2420C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2417C2212yes—
186#2416C2212yes—
187#2416C2212yes—
188#2416C2212yes—
189#2416C2214yes—
190#2416C2212yes—
191#2415C2211yescharacteristic
192#2413C2214yes—
193#2409C2214yes—
194#2407C2214yes—
195#2401C2212yes—
196#2401C2214yes—
197#2398C2214yes—
198#2395C2212yes—
199#2374C2214yes—
200#2372C2214yes—
201#2372C2212yes—
202#2372C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2369C2211yescharacteristic
207#2369C2211yescharacteristic
208#2369C2211yescharacteristic
209#2369C2211yescharacteristic
210#2369C2211yescharacteristic
211#2369C2211yescharacteristic
212#2366C2212yes—
213#2366C2211yescharacteristic
214#2366C2211yescharacteristic
215#2366C2212yes—
216#2365C2212yes—
217#2365C2212yes—
218#2364C2214yes—
219#2363C2212yes—
220#2363C2212yes—
221#2363C2212yes—
222#2363C2214yes—
223#2363C2211yescharacteristic
224#2363C2212yes—
225#2363C2212yes—
226#2363C2212yes—
227#2363C2211yescharacteristic
228#2361C2212yes—
229#2361C2212yes—
230#2361C2212yes—
231#2361C2212yes—
232#2360C2212yes—
233#2360C2214yes—
234#2359C2214yes—
235#2357C2212yes—
236#2357C2212yes—
237#2355C2212yes—
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2352C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245#2346C2211yescharacteristic
246#2346C2212yes—
247#2346C2212yes—
248#2346C2211yescharacteristic
249#2345C2212yes—
250#2345C2212yes—
251#2345C2212yes—
252#2344C2212yes—
253Q8×C22⋊C4C2214yes—
254#2335C2214yes—
255#2333C2214yes—
256#2331C2214yes—
257#2330C2212yes—
258#2329C2214yes—
259#2319C2212yes—
260#2316C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2214yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×#123C2214yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2214yes—
279C4×#121C2211yescharacteristic
280#2298C2212yes—
281#2297C2214yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2293C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287C2×#389C2212yes—
288#2285C2211yescharacteristic
289#2275C2212yes—
290#2274C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#555—28no—
302#554—28no—
303#552—416no—
304#548—48no—
305#540—216no—
306#532—28no—
307C2×C4⋊Q8—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2314yes—
393C2×#117C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2314yes—
403#401C2312yes—
404#401C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#392C2314yes—
480#392C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2314yes—
724#380C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C43C2312yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—82no—
820C22×Q8—28no—
821C22×Q8—44no—
822C22×Q8—82no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C4⋊Q8—28no—
855C4⋊Q8—28no—
856C4⋊Q8—28no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8#4118yes—
860#127—28no—
861#127—24no—
862#126—48no—
863#126—48no—
864#125—28no—
865#125—28no—
866#125—28no—
867#125—42no—
868#125—48no—
869#125—48no—
870#124—28no—
871#124—28no—
872#124—28no—
873#124—44no—
874#124—44no—
875#124—48no—
876#124—82no—
877#123—216no—
878#123—216no—
879#123—48no—
880#123—48no—
881C22⋊Q8—216no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—48no—
885C22⋊Q8—44no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—84no—
889#121—216no—
890#121—216no—
891#121—24no—
892#121—28no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—44no—
897#121—48no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—84no—
902#121#4118yescomplemented
903C4×Q8—24no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—48no—
908C4×Q8—84no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—48no—
926C4×D4—48no—
927C4×D4—84no—
928C4×D4—84no—
929#117—28no—
930#117—24no—
931#117—24no—
932#117—28no—
933#117—24no—
934#117—24no—
935#117—28no—
936#117—48no—
937#117—48no—
938#117—42no—
939#117—42no—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—48no—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—44no—
1069C2×C42—84no—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
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#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2511yescharacteristic
1182C24C2514yes—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—816no—
1186C2×Q8—22no—
1187C2×Q8—28no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—28no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—816no—
1201C2×Q8C2×#4118yes—
1202C2×D4—22no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4C2×#4114yes—
1234C2×D4C2×#4118yes—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—24no—
1248C22×C4—28no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4C2×#4114yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4C2×#4118yes—
1373C4⋊C4C2×#4118yes—
1374C4⋊C4C2×#4114yes—
1375C4⋊C4H(5,𝔽2)14yes—
1376C4⋊C42−1+414yes—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—22no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4C2×#4118yes—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—22no—
1451C42—24no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—22no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—44no—
1462C42—44no—
1463C42—42no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—42no—
1471C42—41no—
1472C42C2×#4114yes—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—24no—
1487C23—24no—
1488C23—21no—
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—24no—
1493C23—21no—
1494C23—21no—
1495C23—24no—
1496C23—24no—
1497C23—24no—
1498C23—21no—
1499C23C22×#4112yes—
1500C23C22×#4114yes—
1501C23C2611yescharacteristic
1502Q8—48no—
1503Q8—416no—
1504Q8—44no—
1505Q8—84no—
1506Q8—84no—
1507D4—28no—
1508D4—48no—
1509D4—44no—
1510D4—48no—
1511D4—48no—
1512D4—84no—
1513D4—88no—
1514D4—88no—
1515D4—84no—
1516D4—88no—
1517D4—88no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—28no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—44no—
1599C2×C4—416no—
1600C2×C4—44no—
1601C2×C4—48no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—48no—
1605C2×C4—44no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—84no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4118yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×2−1+414yes—
1623C2×C4C2×2−1+412yes—
1624C2×C4#58512yes—
1625C2×C4#58512yes—
1626C22—22no—
1627C22—24no—
1628C22—24no—
1629C22—22no—
1630C22—22no—
1631C22—24no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—41no—
1641C22—44no—
1642C22—44no—
1643C22—41no—
1644C22—44no—
1645C22—41no—
1646C22—41no—
1647C22—44no—
1648C22—41no—
1649C22—44no—
1650C22—44no—
1651C22—41no—
1652C22—41no—
1653C22—44no—
1654C22C23×#4111yescharacteristic
1655C22C23×#4111yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×2−1+411yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22H(7,𝔽2)11yescharacteristic
1661C4—22no—
1662C4—22no—
1663C4—28no—
1664C4—22no—
1665C4—24no—
1666C4—22no—
1667C4—24no—
1668C4—22no—
1669C4—42no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—41no—
1690C4#348214yes—
1691C4#352414yes—
1692C2—42no—
1693C2—44no—
1694C2—81no—
1695C2—84no—
1696C2C2×#348211yescharacteristic
1697C2C2×#352411yescharacteristic
1698C2#6280011yescharacteristic
1699C2#6295111yescharacteristic
1700C2#6298311yescharacteristic
1701C2#6299211yescharacteristic
1702C2#6303911yescharacteristic
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. #59953C2semidirect
2. #59842C2semidirect
3. #59813C2semidirect
4. #59677C2semidirect
5. #59665C2semidirect
6. #59643C2semidirect
7. #59136C2semidirect
8. #59057C2semidirect
9. #45067C2semidirect
10. #44888C2semidirect
11. #44602C2semidirect
12. #43379C2semidirect
13. #40198C2semidirect
14. #40188C2semidirect
15. #39352C2semidirect
16. #38985C2semidirect
17. #38776C2semidirect
18. #38266C2semidirect
19. #36479C2semidirect
20. #36463C2semidirect
21. #36460C2semidirect
22. #36453C2semidirect
23. #36301C2semidirect
24. #36287C2semidirect
25. #36265C2semidirect
26. #36122C2semidirect
27. #36073C2semidirect
28. #35897C2semidirect
29. #34969C2semidirect
30. #34793C2semidirect
31. #34332C2semidirect
32. #34287C2semidirect
33. #34216C2semidirect
34. C4×#555C2semidirect
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
#599532
#598422
#598132
#596772
#596652
#596432
#591362
#590572
#450672
#448882
#446022
#433792
#401982
#401882
#393522
#389852
#387762
#382662
#364792
#364632
#364602
#364532
#363012
#362872
#362652
#361222
#360732
#358972
#349692
#347932
#343322
#342872
#342162
C4×#5552
#341552