Finite Group Databasebeta

← #7693304

Subgroups — #7693304

Order 512.

4866 conjugacy classes of subgroups.

The subgroup lattice has 1689 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59645C212yesmaximal, complemented
2#59641C211yesmaximal, characteristic, complemented
3#59559C214yesmaximal, complemented
4#59417C212yesmaximal, complemented
5#59332C212yesmaximal, complemented
6#59256C211yesmaximal, characteristic, complemented
7#59236C212yesmaximal, complemented
8#59235C211yesmaximal, characteristic, complemented
9#45283C212yesmaximal, complemented
10#45053C212yesmaximal, complemented
11#44535C214yesmaximal, complemented
12#43275C214yesmaximal, complemented
13#39930C212yesmaximal, complemented
14#39926C212yesmaximal, complemented
15#39148C211yesmaximal, characteristic, complemented
16#39147C211yesmaximal, characteristic, complemented
17#38989C214yesmaximal, complemented
18#38972C212yesmaximal, complemented
19#36580C211yesmaximal, characteristic, complemented
20#36555C211yesmaximal, characteristic, complemented
21#36535C211yesmaximal, characteristic, complemented
22#36493C211yesmaximal, characteristic, complemented
23#36252C212yesmaximal, complemented
24#36252C212yesmaximal, complemented
25#36211C211yesmaximal, characteristic, complemented
26#36172C212yesmaximal, complemented
27#36058C212yesmaximal, complemented
28#35882C212yesmaximal, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34917C212yesmaximal, complemented
31#34329C212yesmaximal, complemented
32#34196C211yesmaximal, characteristic, complemented
33#34191C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2864C2212yes—
42#2864C2212yes—
43#2859C2211yescharacteristic
44#2856C2211yescharacteristic
45#2856C2211yescharacteristic
46#2853C2214yes—
47#2850C2212yes—
48#2850C2212yes—
49#2798C2214yes—
50#2797C2214yes—
51#2775C2214yes—
52#2775C2214yes—
53#2773C2214yes—
54#2773C2214yes—
55#2770C2214yes—
56#2764C2214yes—
57#2757C2214yes—
58#2756C2214yes—
59#2754C2214yes—
60#2749C2214yes—
61#2748C2214yes—
62#2746C2214yes—
63#2744C2214yes—
64#2710C2214yes—
65#2706C2214yes—
66#2703C2214yes—
67#2701C2214yes—
68#2700C2214yes—
69#2688C2214yes—
70#2651C2214yes—
71#2649C2214yes—
72#2644C2212yes—
73#2644C2212yes—
74#2609C2214yes—
75#2597C2214yes—
76#2595C2214yes—
77#2595C2214yes—
78#2592C2212yes—
79#2590C2214yes—
80#2588C2214yes—
81#2587C2214yes—
82#2582C2211yescharacteristic
83#2581C2212yes—
84#2580C2212yes—
85#2580C2212yes—
86#2578C2214yes—
87#2576C2214yes—
88#2576C2214yes—
89#2576C2214yes—
90#2575C2214yes—
91#2573C2212yes—
92#2573C2212yes—
93#2571C2211yescharacteristic
94#2571C2211yescharacteristic
95#2570C2212yes—
96#2570C2212yes—
97#2568C2211yescharacteristic
98#2566C2212yes—
99#2565C2212yes—
100#2562C2212yes—
101#2557C2214yes—
102#2555C2214yes—
103#2552C2211yescharacteristic
104#2550C2212yes—
105#2548C2211yescharacteristic
106#2547C2211yescharacteristic
107#2541C2211yescharacteristic
108#2540C2212yes—
109#2538C2211yescharacteristic
110#2538C2211yescharacteristic
111#2535C2212yes—
112#2535C2212yes—
113#2535C2212yes—
114#2531C2214yes—
115#2529C2214yes—
116#2529C2214yes—
117#2528C2214yes—
118#2527C2214yes—
119#2527C2214yes—
120#2526C2214yes—
121#2522C2214yes—
122#2518C2214yes—
123#2517C2214yes—
124#2517C2214yes—
125#2517C2214yes—
126#2515C2214yes—
127#2515C2214yes—
128#2514C2212yes—
129#2514C2212yes—
130#2513C2214yes—
131#2513C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2510C2214yes—
135#2508C2212yes—
136#2508C2212yes—
137#2504C2212yes—
138#2501C2212yes—
139#2499C2212yes—
140#2498C2214yes—
141#2497C2212yes—
142#2497C2212yes—
143#2494C2211yescharacteristic
144#2494C2212yes—
145#2494C2211yescharacteristic
146#2491C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2490C2212yes—
150#2489C2212yes—
151#2488C2214yes—
152#2471C2214yes—
153#2471C2214yes—
154#2471C2214yes—
155#2471C2214yes—
156#2459C2214yes—
157#2459C2214yes—
158#2458C2214yes—
159#2457C2214yes—
160#2456C2214yes—
161#2455C2214yes—
162#2454C2212yes—
163#2453C2212yes—
164#2448C2212yes—
165#2448C2212yes—
166#2448C2212yes—
167#2447C2212yes—
168#2445C2212yes—
169#2444C2214yes—
170#2443C2214yes—
171#2436C2212yes—
172#2431C2212yes—
173#2428C2212yes—
174#2426C2212yes—
175#2423C2212yes—
176#2422C2212yes—
177#2422C2212yes—
178#2422C2212yes—
179#2421C2212yes—
180#2421C2211yescharacteristic
181#2421C2211yescharacteristic
182#2420C2212yes—
183#2420C2214yes—
184#2420C2212yes—
185#2420C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2419C2214yes—
189#2417C2212yes—
190#2416C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2401C2212yes—
194#2401C2214yes—
195#2401C2212yes—
196#2392C2214yes—
197#2374C2214yes—
198#2374C2214yes—
199#2372C2214yes—
200#2370C2212yes—
201#2367C2211yescharacteristic
202#2367C2212yes—
203#2367C2212yes—
204#2367C2212yes—
205#2367C2212yes—
206#2366C2212yes—
207#2366C2211yescharacteristic
208#2364C2214yes—
209#2363C2212yes—
210#2363C2212yes—
211#2363C2212yes—
212#2362C2211yescharacteristic
213#2362C2212yes—
214#2361C2212yes—
215#2361C2211yescharacteristic
216#2361C2212yes—
217#2361C2212yes—
218#2360C2212yes—
219#2359C2214yes—
220#2357C2212yes—
221#2357C2212yes—
222#2357C2212yes—
223#2356C2212yes—
224#2355C2212yes—
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2211yescharacteristic
229#2355C2212yes—
230#2355C2212yes—
231#2354C2212yes—
232#2353C2214yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235#2352C2212yes—
236#2352C2212yes—
237#2351C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242#2346C2212yes—
243#2346C2212yes—
244#2345C2212yes—
245#2344C2214yes—
246#2344C2212yes—
247#2344C2212yes—
248#2343C2214yes—
249#2341C2211yescharacteristic
250Q8×C22⋊C4C2212yes—
251Q8×C22⋊C4C2211yescharacteristic
252#2339C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2328C2212yes—
256#2326C2212yes—
257#2320C2212yes—
258#2320C2212yes—
259#2320C2214yes—
260#2318C2214yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#125C2212yes—
264C4×#124C2212yes—
265C4×#124C2212yes—
266C4×#124C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×#123C2214yes—
275C4×#123C2214yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2295C2212yes—
281#2290C2214yes—
282#2290C2214yes—
283#2285C2211yescharacteristic
284#2285C2212yes—
285#2285C2211yescharacteristic
286#2283C2212yes—
287#2283C2212yes—
288#2283C2211yescharacteristic
289#2283C2211yescharacteristic
290C2×#382C2212yes—
291#2276C2212yes—
292#2275C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2212yes—
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#559—216no—
302#559—28no—
303#548—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×#127C2311yescharacteristic
306C2×#127C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#124C2312yes—
310C2×#124C2312yes—
311C2×#124C2314yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2311yescharacteristic
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C4×#41—28no—
338C2×C4×Q8—28no—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2314yes—
391#401C2312yes—
392#401C2312yes—
393#401C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#383C2312yes—
676#383C2312yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#382C2312yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2312yes—
701#381C2312yes—
702#381C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2314yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C22⋊C4C2311yescharacteristic
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C4⋊Q8—42no—
854#127—28no—
855#127—24no—
856#125—44no—
857#125—44no—
858#124—28no—
859#124—28no—
860#124—28no—
861#124—216no—
862#124—28no—
863#124—44no—
864#124#4118yes—
865#123—216no—
866#123—216no—
867#123—216no—
868#123—84no—
869#123—84no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—42no—
873C22⋊Q8—42no—
874C22⋊Q8—44no—
875#121—24no—
876#121—28no—
877#121—48no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—82no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—28no—
896C4×Q8—42no—
897C4×Q8—44no—
898C4×Q8—42no—
899C4×Q8—42no—
900C4×Q8#4118yes—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—216no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—48no—
921C4×D4—84no—
922C4×D4—82no—
923#117—24no—
924#117—28no—
925#117—44no—
926#117—84no—
927#117—84no—
928#117—82no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C42—28no—
1049C2×C42—24no—
1050C2×C42—28no—
1051C2×C42—24no—
1052C2×C42—84no—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2514yes—
1170C24C2511yescharacteristic
1171C24C2512yes—
1172C24C2511yescharacteristic
1173#41—416no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—416no—
1188C2×Q8C2×#4114yes—
1189C2×Q8C2×#4114yes—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4C2×#4114yes—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—28no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—28no—
1250C22×C4—28no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
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—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4C2×#4114yes—
1362C4⋊C4C2×#4118yes—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—22no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—41no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4C2×#4118yes—
1416C22⋊C4C2×#4118yes—
1417C42—22no—
1418C42—24no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—28no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—41no—
1446C42—42no—
1447C42—44no—
1448C42—41no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C42C2×#4118yes—
1455C42C2×#4114yes—
1456C42C2×#4114yes—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—24no—
1470C23—24no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—24no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—24no—
1483C23C22×#4114yes—
1484C23#58512yes—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—28no—
1488Q8—48no—
1489Q8—44no—
1490Q8—84no—
1491D4—28no—
1492D4—44no—
1493D4—48no—
1494D4—48no—
1495D4—48no—
1496D4—48no—
1497D4—84no—
1498D4—88no—
1499D4—88no—
1500D4—88no—
1501D4—164no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—88no—
1593C2×C4—84no—
1594C2×C4—82no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4—88no—
1598C2×C4—164no—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4114yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C22—22no—
1612C22—24no—
1613C22—22no—
1614C22—22no—
1615C22—24no—
1616C22—24no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—41no—
1623C22—42no—
1624C22—41no—
1625C22—44no—
1626C22—41no—
1627C22—44no—
1628C22—41no—
1629C22—44no—
1630C22—41no—
1631C22—41no—
1632C22—44no—
1633C22—41no—
1634C22—44no—
1635C22—41no—
1636C22—44no—
1637C22—44no—
1638C22—41no—
1639C22C23×#4111yescharacteristic
1640C22C23×#4111yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22H(7,𝔽2)11yescharacteristic
1646C4—24no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—24no—
1651C4—24no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—44no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—44no—
1675C4#347514yes—
1676C4#352414yes—
1677C2—42no—
1678C2—44no—
1679C2—84no—
1680C2—81no—
1681C2C2×#347511yescharacteristic
1682C2C2×#352411yescharacteristic
1683C2#6281611yescharacteristic
1684C2#6296911yescharacteristic
1685C2#6300811yescharacteristic
1686C2#6301011yescharacteristic
1687C2#6303011yescharacteristic
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. #59645C2semidirect
2. #59641C2semidirect
3. #59559C2semidirect
4. #59417C2semidirect
5. #59332C2semidirect
6. #59256C2semidirect
7. #59236C2semidirect
8. #59235C2semidirect
9. #45283C2semidirect
10. #45053C2semidirect
11. #44535C2semidirect
12. #43275C2semidirect
13. #39930C2semidirect
14. #39926C2semidirect
15. #39148C2semidirect
16. #39147C2semidirect
17. #38989C2semidirect
18. #38972C2semidirect
19. #36580C2semidirect
20. #36555C2semidirect
21. #36535C2semidirect
22. #36493C2semidirect
23. #36252C2semidirect
24. #36252C2semidirect
25. #36211C2semidirect
26. #36172C2semidirect
27. #36058C2semidirect
28. #35882C2semidirect
29. #34945C2semidirect
30. #34917C2semidirect
31. #34329C2semidirect
32. #34196C2semidirect
33. #34191C2semidirect
34. C4×#559C2semidirect
35. C4×#548C2semidirect

Maximal subgroups

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

subgroupindex
#596452
#596412
#595592
#594172
#593322
#592562
#592362
#592352
#452832
#450532
#445352
#432752
#399302
#399262
#391482
#391472
#389892
#389722
#365802
#365552
#365352
#364932
#362522
#362112
#361722
#360582
#358822
#349452
#349172
#343292
#341962
#341912
C4×#5592
C4×#5482