Finite Group Databasebeta

← #7690723

Subgroups — #7690723

Order 512.

4639 conjugacy classes of subgroups.

The subgroup lattice has 1619 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59556C212yesmaximal, complemented
2#59554C214yesmaximal, complemented
3#59496C212yesmaximal, complemented
4#59464C211yesmaximal, characteristic, complemented
5#59400C212yesmaximal, complemented
6#59237C212yesmaximal, complemented
7#59134C211yesmaximal, characteristic, complemented
8#59055C211yesmaximal, characteristic, complemented
9#45411C212yesmaximal, complemented
10#45116C212yesmaximal, complemented
11#44792C214yesmaximal, complemented
12#44539C214yesmaximal, complemented
13#40299C214yesmaximal, complemented
14#39535C212yesmaximal, complemented
15#39481C211yesmaximal, characteristic, complemented
16#39071C212yesmaximal, complemented
17#39028C212yesmaximal, complemented
18#38940C211yesmaximal, characteristic, complemented
19#36554C212yesmaximal, complemented
20#36476C212yesmaximal, complemented
21#36454C211yesmaximal, characteristic, complemented
22#36409C212yesmaximal, complemented
23#36313C211yesmaximal, characteristic, complemented
24#36288C211yesmaximal, characteristic, complemented
25#36177C211yesmaximal, characteristic, complemented
26#36129C211yesmaximal, characteristic, complemented
27#35985C212yesmaximal
28#35974C212yesmaximal, complemented
29#34898C211yesmaximal, characteristic, complemented
30#34803C212yesmaximal, complemented
31#34262C212yesmaximal, complemented
32#34235C211yesmaximal, characteristic, complemented
33#34209C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#519C2212yes—
41#2863C2214yes—
42#2863C2212yes—
43#2862C2211yescharacteristic
44#2862C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2799C2214yes—
50#2791C2214yes—
51#2775C2214yes—
52#2774C2214yes—
53#2773C2214yes—
54#2772C2214yes—
55#2769C2214yes—
56#2766C2214yes—
57#2766C2214yes—
58#2761C2214yes—
59#2759C2214yes—
60#2758C2214yes—
61#2754C2214yes—
62#2743C2214yes—
63#2741C2214yes—
64#2740C2214yes—
65#2739C2214yes—
66#2737C2214yes—
67#2737C2214yes—
68#2721C2214yes—
69#2716C2214yes—
70#2654C2214yes—
71#2640C2212yes—
72#2637C2214yes—
73#2624C2212yes—
74#2612C2214yes—
75#2607C2214yes—
76#2607C2214yes—
77#2604C2214yes—
78#2590C2214yes—
79#2589C2214yes—
80#2589C2214yes—
81#2588C2214yes—
82#2587C2214yes—
83#2585C2214yes—
84#2580C2214yes—
85#2577C2212yes—
86#2576C2214yes—
87#2575C2212yes—
88#2575C2214yes—
89#2574C2214yes—
90#2574C2214yes—
91#2573C2214yes—
92#2573C2214yes—
93#2572C2214yes—
94#2572C2214yes—
95#2571C2211yescharacteristic
96#2570C2211yescharacteristic
97#2570C2214yes—
98#2568C2212yes—
99#2568C2211yescharacteristic
100#2565C2211yescharacteristic
101#2563C2212yes—
102#2562C2211yescharacteristic
103#2551C2211yescharacteristic
104#2550C2212yes—
105#2550C2212yes—
106#2547C2211yescharacteristic
107#2546C2211yescharacteristic
108#2545C2212yes—
109#2542C2211yescharacteristic
110#2542C2212yes—
111#2536C2212yes—
112#2536C2211yescharacteristic
113#2533C2214yes—
114#2533C2214yes—
115#2533C2214yes—
116#2532C2214yes—
117#2532C2214yes—
118#2529C2214yes—
119#2528C2214yes—
120#2527C2214yes—
121#2527C2214yes—
122#2527C2214yes—
123#2526C2214yes—
124#2525C2214yes—
125#2524C2212yes—
126#2524C2214yes—
127#2524C2214yes—
128#2523C2214yes—
129#2522C2214yes—
130#2520C2214yes—
131#2517C2214yes—
132#2514C2212yes—
133#2514C2212yes—
134#2514C2212yes—
135#2514C2212yes—
136#2513C2212yes—
137#2511C2212yes—
138#2509C2212yes—
139#2509C2212yes—
140#2508C2212yes—
141#2508C2212yes—
142#2507C2212yes—
143#2503C2212yes—
144#2499C2212yes—
145#2496C2211yescharacteristic
146#2495C2212yes—
147#2495C2211yescharacteristic
148#2493C2214yes—
149#2492C2212yes—
150#2492C2212yes—
151#2492C2212yes—
152#2492C2212yes—
153#2489C2212yes—
154#2485C2212yes—
155#2481C2214yes—
156#2479C2214yes—
157#2476C2214yes—
158#2476C2214yes—
159#2470C2214yes—
160#2470C2214yes—
161#2468C2212yes—
162#2466C2214yes—
163#2453C2212yes—
164#2453C2212yes—
165#2451C2212yes—
166#2451C2212yes—
167#2448C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2446C2212yes—
171#2446C2212yes—
172#2442C2212yes—
173#2439C2212yes—
174#2439C2212yes—
175#2439C2212yes—
176#2439C2212yes—
177#2436C2212yes—
178#2429C2212yes—
179#2429C2212yes—
180#2429C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2423C2212yes—
184#2423C2212yes—
185#2423C2211yescharacteristic
186#2421C2211yescharacteristic
187#2421C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2409C2212yes—
193#2402C2212yes—
194#2401C2214yes—
195#2398C2214yes—
196#2395C2212yes—
197#2374C2212yes—
198#2373C2212yes—
199#2373C2214yes—
200#2370C2211yescharacteristic
201#2369C2212yes—
202#2369C2212yes—
203#2367C2212yes—
204#2367C2212yes—
205#2365C2212yes—
206#2365C2211yescharacteristic
207#2365C2211yescharacteristic
208#2365C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2212yes—
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2364C2212yes—
216#2363C2211yescharacteristic
217#2362C2212yes—
218#2362C2212yes—
219#2361C2211yescharacteristic
220#2360C2212yes—
221#2360C2212yes—
222#2360C2212yes—
223#2360C2212yes—
224#2357C2211yescharacteristic
225#2357C2214yes—
226#2356C2212yes—
227#2356C2212yes—
228#2356C2212yes—
229#2356C2212yes—
230#2356C2214yes—
231#2355C2211yescharacteristic
232#2355C2212yes—
233#2355C2214yes—
234#2354C2211yescharacteristic
235#2353C2212yes—
236#2352C2212yes—
237#2352C2212yes—
238#2352C2211yescharacteristic
239#2351C2212yes—
240#2351C2212yes—
241Q8×C4⋊C4C2212yes—
242#2347C2214yes—
243#2347C2212yes—
244#2347C2211yescharacteristic
245#2346C2214yes—
246#2346C2212yes—
247#2345C2211yescharacteristic
248#2344C2212yes—
249#2344C2212yes—
250#2344C2214yes—
251#2343C2214yes—
252Q8×C22⋊C4C2212yes—
253Q8×C22⋊C4C2212yes—
254#2336C2214yes—
255#2327C2214yes—
256#2320C2212yes—
257#2320C2212yes—
258#2320C2214yes—
259#2314C2212yes—
260#2314C2214yes—
261#2310C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#126C2212yes—
268C4×#126C2212yes—
269C4×#126C2214yes—
270C4×#126C2214yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282#2298C2214yes—
283#2298C2212yes—
284#2295C2212yes—
285#2295C2214yes—
286#2295C2212yes—
287#2285C2211yescharacteristic
288#2283C2211yescharacteristic
289#2283C2212yes—
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300#556—28no—
301#553—28no—
302#533—28no—
303C2×C4⋊Q8—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334#519—216no—
335C2×C4×Q8C2314yes—
336C2×C4×Q8C2314yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376C22×C42C2312yes—
377#401C2314yes—
378#401C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2312yes—
406#398C2312yes—
407#398C2312yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#388C2312yes—
540#388C2314yes—
541#388C2312yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
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#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2314yes—
664#384C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2312yes—
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#383C2314yes—
673#383C2312yes—
674#383C2314yes—
675#382C2311yescharacteristic
676#382C2311yescharacteristic
677#382C2314yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2314yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#382C2312yes—
691#382C2312yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2312yes—
697#381C2312yes—
698#381C2314yes—
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C43C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8—28no—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8#4118yes—
849#126—216no—
850#126—28no—
851#126—28no—
852#125—28no—
853#125—24no—
854#125—42no—
855#124—28no—
856#124—44no—
857#123—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863C22⋊Q8—44no—
864C22⋊Q8—42no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867#121—24no—
868#121—24no—
869#121—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—216no—
878C4×Q8—216no—
879C4×Q8—24no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—42no—
885C4×Q8—44no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—42no—
893C4×D4—44no—
894C4×D4—42no—
895C4×D4—44no—
896#117—28no—
897#117—28no—
898#117—28no—
899#117—216no—
900#117—216no—
901#117—42no—
902#117—44no—
903#117#4118yes—
904C2×C4⋊C4—28no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—42no—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C42—24no—
1018C2×C42—24no—
1019C2×C42—44no—
1020C2×C42—44no—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2512yes—
1154C24C2511yescharacteristic
1155C24C2511yescharacteristic
1156C2×Q8—24no—
1157C2×Q8—28no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—28no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×Q8—432no—
1174C2×Q8C2×#4118yes—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—42no—
1184C2×D4—41no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—28no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—28no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4C2×#4114yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—41no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4C2×#4118yes—
1323C4⋊C4C2×#4118yes—
1324C4⋊C4C2×#4114yes—
1325C4⋊C4C2×#4114yes—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—22no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4C2×#4118yes—
1363C22⋊C42−1+414yes—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—28no—
1371C42—28no—
1372C42—28no—
1373C42—24no—
1374C42—24no—
1375C42—28no—
1376C42—28no—
1377C42—28no—
1378C42—22no—
1379C42—24no—
1380C42—24no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—22no—
1387C42—22no—
1388C42—24no—
1389C42—24no—
1390C42—42no—
1391C42—42no—
1392C42—42no—
1393C42—42no—
1394C42—42no—
1395C42—44no—
1396C42—41no—
1397C42—42no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—42no—
1406C42C2×#4114yes—
1407C42C2×#4118yes—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23C22×#4112yes—
1428C23C2×2−1+412yes—
1429C23C2611yescharacteristic
1430Q8—216no—
1431Q8—416no—
1432Q8—48no—
1433Q8—44no—
1434Q8—48no—
1435Q8—164no—
1436D4—48no—
1437D4—44no—
1438D4—44no—
1439D4—84no—
1440C2×C4—21no—
1441C2×C4—24no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—28no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—416no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—48no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4—84no—
1534C2×C4—84no—
1535C2×C4C22×#4114yes—
1536C2×C4C22×#4114yes—
1537C2×C4C22×#4112yes—
1538C2×C4C22×#4118yes—
1539C2×C4C22×#4112yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4C2×2−1+412yes—
1544C2×C4C2×2−1+412yes—
1545C2×C4#58512yes—
1546C2×C4#58512yes—
1547C2×C4#58512yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22C23×#4111yescharacteristic
1570C22C23×#4111yescharacteristic
1571C22C22×2−1+411yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22C2×#58511yescharacteristic
1574C22C2×#58511yescharacteristic
1575C222−1+611yescharacteristic
1576C4—24no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—24no—
1581C4—22no—
1582C4—28no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—41no—
1594C4—41no—
1595C4—42no—
1596C4—44no—
1597C4—42no—
1598C4—42no—
1599C4—41no—
1600C4—41no—
1601C4—44no—
1602C4—41no—
1603C4—44no—
1604C4—42no—
1605C4—42no—
1606C4#347514yes—
1607C4#352414yes—
1608C2—42no—
1609C2—42no—
1610C2—82no—
1611C2C2×#347511yescharacteristic
1612C2C2×#352411yescharacteristic
1613C2#6280511yescharacteristic
1614C2#6296811yescharacteristic
1615C2#6299511yescharacteristic
1616C2#6299811yescharacteristic
1617C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59556C2semidirect
2. #59554C2semidirect
3. #59496C2semidirect
4. #59464C2semidirect
5. #59400C2semidirect
6. #59237C2semidirect
7. #59134C2semidirect
8. #59055C2semidirect
9. #45411C2semidirect
10. #45116C2semidirect
11. #44792C2semidirect
12. #44539C2semidirect
13. #40299C2semidirect
14. #39535C2semidirect
15. #39481C2semidirect
16. #39071C2semidirect
17. #39028C2semidirect
18. #38940C2semidirect
19. #36554C2semidirect
20. #36476C2semidirect
21. #36454C2semidirect
22. #36409C2semidirect
23. #36313C2semidirect
24. #36288C2semidirect
25. #36177C2semidirect
26. #36129C2semidirect
28. #35974C2semidirect
29. #34898C2semidirect
30. #34803C2semidirect
31. #34262C2semidirect
32. #34235C2semidirect
33. #34209C2semidirect
34. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#595562
#595542
#594962
#594642
#594002
#592372
#591342
#590552
#454112
#451162
#447922
#445392
#402992
#395352
#394812
#390712
#390282
#389402
#365542
#364762
#364542
#364092
#363132
#362882
#361772
#361292
#359852
#359742
#348982
#348032
#342622
#342352
#342092
C4×#5562
C4×#5532