Finite Group Databasebeta

← #7690034

Subgroups — #7690034

Order 512.

4862 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60005C214yesmaximal, complemented
2#59893C212yesmaximal, complemented
3#59647C211yesmaximal, characteristic, complemented
4#59645C212yesmaximal, complemented
5#59260C212yesmaximal, complemented
6#59249C211yesmaximal, characteristic, complemented
7#59215C212yesmaximal, complemented
8#59214C211yesmaximal, characteristic, complemented
9#45094C212yesmaximal, complemented
10#45026C212yesmaximal, complemented
11#44577C214yesmaximal, complemented
12#43259C214yesmaximal, complemented
13#40003C212yesmaximal, complemented
14#39929C212yesmaximal, complemented
15#39352C211yesmaximal, characteristic, complemented
16#38977C211yesmaximal, characteristic, complemented
17#38325C214yesmaximal, complemented
18#38255C212yesmaximal, complemented
19#36600C211yesmaximal, characteristic, complemented
20#36580C211yesmaximal, characteristic, complemented
21#36493C211yesmaximal, characteristic, complemented
22#36487C212yesmaximal, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36253C212yesmaximal, complemented
25#36211C211yesmaximal, characteristic, complemented
26#36174C212yesmaximal, complemented
27#36055C212yesmaximal, complemented
28#35798C212yesmaximal, complemented
29#34793C211yesmaximal, characteristic, complemented
30#34788C212yesmaximal, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34287C212yesmaximal, complemented
33#34187C211yesmaximal, characteristic, complemented
34C4×#548C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#540C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2861C2212yes—
42#2859C2211yescharacteristic
43#2859C2212yes—
44#2856C2211yescharacteristic
45#2856C2211yescharacteristic
46#2853C2214yes—
47#2850C2212yes—
48#2850C2212yes—
49#2798C2214yes—
50#2798C2214yes—
51#2797C2214yes—
52#2797C2214yes—
53#2780C2214yes—
54#2777C2214yes—
55#2773C2214yes—
56#2767C2214yes—
57#2765C2214yes—
58#2749C2214yes—
59#2746C2214yes—
60#2743C2214yes—
61#2743C2214yes—
62#2739C2214yes—
63#2710C2214yes—
64#2706C2214yes—
65#2705C2214yes—
66#2699C2214yes—
67#2688C2214yes—
68#2687C2214yes—
69#2671C2214yes—
70#2649C2214yes—
71#2648C2214yes—
72#2645C2212yes—
73#2624C2212yes—
74#2611C2214yes—
75#2603C2214yes—
76#2600C2214yes—
77#2597C2214yes—
78#2596C2214yes—
79#2596C2214yes—
80#2595C2214yes—
81#2592C2212yes—
82#2589C2214yes—
83#2587C2214yes—
84#2585C2214yes—
85#2585C2214yes—
86#2582C2211yescharacteristic
87#2580C2212yes—
88#2578C2214yes—
89#2577C2214yes—
90#2575C2214yes—
91#2570C2212yes—
92#2570C2212yes—
93#2566C2212yes—
94#2557C2214yes—
95#2552C2211yescharacteristic
96#2552C2211yescharacteristic
97#2548C2211yescharacteristic
98#2544C2212yes—
99#2541C2211yescharacteristic
100#2540C2212yes—
101#2538C2211yescharacteristic
102#2538C2212yes—
103#2537C2212yes—
104#2535C2212yes—
105#2535C2212yes—
106#2531C2214yes—
107#2530C2214yes—
108#2530C2212yes—
109#2528C2212yes—
110#2527C2214yes—
111#2526C2214yes—
112#2526C2214yes—
113#2526C2214yes—
114#2526C2214yes—
115#2525C2214yes—
116#2518C2214yes—
117#2518C2214yes—
118#2517C2212yes—
119#2517C2214yes—
120#2516C2214yes—
121#2513C2212yes—
122#2513C2214yes—
123#2513C2212yes—
124#2513C2212yes—
125#2513C2212yes—
126#2511C2212yes—
127#2511C2211yescharacteristic
128#2510C2214yes—
129#2510C2214yes—
130#2509C2212yes—
131#2509C2212yes—
132#2508C2212yes—
133#2506C2211yescharacteristic
134#2504C2212yes—
135#2503C2212yes—
136#2501C2212yes—
137#2500C2212yes—
138#2499C2211yescharacteristic
139#2497C2212yes—
140#2496C2212yes—
141#2496C2212yes—
142#2495C2214yes—
143#2494C2212yes—
144#2494C2211yescharacteristic
145#2493C2214yes—
146#2490C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2490C2212yes—
150#2489C2212yes—
151#2489C2212yes—
152#2489C2211yescharacteristic
153#2488C2214yes—
154#2487C2212yes—
155#2485C2211yescharacteristic
156#2479C2214yes—
157#2478C2214yes—
158#2476C2214yes—
159#2471C2214yes—
160#2470C2214yes—
161#2467C2214yes—
162#2460C2214yes—
163#2460C2212yes—
164#2458C2214yes—
165#2456C2214yes—
166#2454C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2448C2212yes—
170#2448C2212yes—
171#2447C2212yes—
172#2447C2212yes—
173#2445C2212yes—
174#2444C2214yes—
175#2443C2214yes—
176#2442C2212yes—
177#2441C2211yescharacteristic
178#2441C2212yes—
179#2436C2212yes—
180#2431C2212yes—
181#2427C2212yes—
182#2422C2212yes—
183#2421C2212yes—
184#2420C2214yes—
185#2420C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2419C2214yes—
189#2416C2212yes—
190#2415C2211yescharacteristic
191#2414C2212yes—
192#2414C2212yes—
193#2401C2214yes—
194#2401C2212yes—
195#2395C2212yes—
196#2395C2214yes—
197#2374C2214yes—
198#2370C2212yes—
199#2370C2212yes—
200#2370C2212yes—
201#2367C2212yes—
202#2367C2212yes—
203#2367C2212yes—
204#2367C2211yescharacteristic
205#2367C2212yes—
206#2366C2211yescharacteristic
207#2366C2212yes—
208#2366C2212yes—
209#2364C2214yes—
210#2363C2212yes—
211#2363C2214yes—
212#2363C2212yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2362C2212yes—
217#2362C2211yescharacteristic
218#2361C2212yes—
219#2361C2212yes—
220#2361C2211yescharacteristic
221#2361C2212yes—
222#2360C2212yes—
223#2359C2214yes—
224#2359C2214yes—
225#2357C2212yes—
226#2356C2214yes—
227#2356C2212yes—
228#2356C2212yes—
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2355C2212yes—
232#2355C2212yes—
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2354C2212yes—
238#2354C2212yes—
239#2352C2212yes—
240#2352C2212yes—
241#2352C2211yescharacteristic
242#2352C2212yes—
243#2351C2211yescharacteristic
244Q8×C4⋊C4C2211yescharacteristic
245#2349C2212yes—
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248#2347C2212yes—
249#2346C2214yes—
250#2343C2214yes—
251#2341C2211yescharacteristic
252Q8×C22⋊C4C2211yescharacteristic
253#2339C2212yes—
254#2335C2214yes—
255#2335C2214yes—
256#2333C2214yes—
257#2326C2212yes—
258#2319C2212yes—
259#2313C2214yes—
260#2310C2212yes—
261C4×#127C2211yescharacteristic
262C4×#125C2212yes—
263C4×#125C2212yes—
264C4×#125C2211yescharacteristic
265C4×#124C2212yes—
266C4×#124C2211yescharacteristic
267C4×#124C2212yes—
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×#123C2214yes—
273C4×#121C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2214yes—
278#2298C2212yes—
279#2295C2211yescharacteristic
280#2295C2212yes—
281#2293C2212yes—
282#2293C2212yes—
283#2290C2214yes—
284#2290C2214yes—
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2283C2212yes—
289#2283C2212yes—
290#2283C2212yes—
291#2275C2212yes—
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#559—28no—
302#548—28no—
303#540—216no—
304C2×#127C2311yescharacteristic
305C2×#127C2312yes—
306C2×#126C2314yes—
307C2×#125C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C4×#41—28no—
339C2×C4×Q8—28no—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2314yes—
381C2×#117C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2314yes—
391#401C2314yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2314yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852#127—28no—
853#127—24no—
854#126—84no—
855#125—28no—
856#125—44no—
857#125—44no—
858#125—44no—
859#125—42no—
860#124—28no—
861#124—24no—
862#124—28no—
863#124—28no—
864#124—44no—
865#123—216no—
866#123—216no—
867#123—216no—
868#123—84no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—42no—
872C22⋊Q8—42no—
873C22⋊Q8—44no—
874#121—216no—
875#121—216no—
876#121—28no—
877#121—28no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—82no—
885#121#4118yes—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—44no—
895C4×Q8—42no—
896C4×Q8#4118yes—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—84no—
917C4×D4—82no—
918C4×D4—84no—
919#117—28no—
920#117—24no—
921#117—28no—
922#117—48no—
923#117—42no—
924#117—42no—
925#117—44no—
926#117—82no—
927#117—84no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—28no—
1051C2×C42—24no—
1052C2×C42—28no—
1053C2×C42—24no—
1054C2×C42—84no—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2511yescharacteristic
1170C24C2514yes—
1171C24C2512yes—
1172C24C2511yescharacteristic
1173#41—416no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—42no—
1185C2×Q8—416no—
1186C2×Q8C2×#4114yes—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—28no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4C2×#4114yes—
1219C2×D4C2×#4118yes—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4C2×#4114yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—41no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4C2×#4114yes—
1361C4⋊C4C2×#4118yes—
1362C4⋊C4C2×#4114yes—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—22no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—42no—
1397C22⋊C4—41no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4C2×#4118yes—
1417C42—22no—
1418C42—24no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—24no—
1438C42—22no—
1439C42—42no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—44no—
1450C42—41no—
1451C42—41no—
1452C42—44no—
1453C42—44no—
1454C42—42no—
1455C42C2×#4118yes—
1456C42C2×#4114yes—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—24no—
1470C23—21no—
1471C23—21no—
1472C23—24no—
1473C23—24no—
1474C23—21no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—24no—
1483C23C22×#4112yes—
1484C23C22×#4114yes—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—48no—
1488Q8—44no—
1489Q8—44no—
1490D4—28no—
1491D4—48no—
1492D4—48no—
1493D4—44no—
1494D4—48no—
1495D4—48no—
1496D4—84no—
1497D4—88no—
1498D4—88no—
1499D4—88no—
1500D4—164no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—28no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—84no—
1592C2×C4—88no—
1593C2×C4—82no—
1594C2×C4—88no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4—164no—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—24no—
1611C22—22no—
1612C22—22no—
1613C22—24no—
1614C22—22no—
1615C22—24no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—44no—
1626C22—44no—
1627C22—41no—
1628C22—41no—
1629C22—44no—
1630C22—44no—
1631C22—41no—
1632C22—41no—
1633C22—44no—
1634C22—41no—
1635C22—44no—
1636C22—44no—
1637C22—41no—
1638C22C23×#4111yescharacteristic
1639C22C23×#4111yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22H(7,𝔽2)11yescharacteristic
1645C4—22no—
1646C4—24no—
1647C4—22no—
1648C4—24no—
1649C4—22no—
1650C4—24no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—44no—
1673C4—41no—
1674C4#347514yes—
1675C4#352414yes—
1676C2—44no—
1677C2—42no—
1678C2—81no—
1679C2—84no—
1680C2C2×#347511yescharacteristic
1681C2#6278111yescharacteristic
1682C2C2×#352411yescharacteristic
1683C2#6296911yescharacteristic
1684C2#6300811yescharacteristic
1685C2#6301011yescharacteristic
1686C2#6303611yescharacteristic
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. #60005C2semidirect
2. #59893C2semidirect
3. #59647C2semidirect
4. #59645C2semidirect
5. #59260C2semidirect
6. #59249C2semidirect
7. #59215C2semidirect
8. #59214C2semidirect
9. #45094C2semidirect
10. #45026C2semidirect
11. #44577C2semidirect
12. #43259C2semidirect
13. #40003C2semidirect
14. #39929C2semidirect
15. #39352C2semidirect
16. #38977C2semidirect
17. #38325C2semidirect
18. #38255C2semidirect
19. #36600C2semidirect
20. #36580C2semidirect
21. #36493C2semidirect
22. #36487C2semidirect
23. #36302C2semidirect
24. #36253C2semidirect
25. #36211C2semidirect
26. #36174C2semidirect
27. #36055C2semidirect
28. #35798C2semidirect
29. #34793C2semidirect
30. #34788C2semidirect
31. #34331C2semidirect
32. #34287C2semidirect
33. #34187C2semidirect
34. C4×#548C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#600052
#598932
#596472
#596452
#592602
#592492
#592152
#592142
#450942
#450262
#445772
#432592
#400032
#399292
#393522
#389772
#383252
#382552
#366002
#365802
#364932
#364872
#363022
#362532
#362112
#361742
#360552
#357982
#347932
#347882
#343312
#342872
#341872
C4×#5482
#341272