Finite Group Databasebeta

← #7689581

Subgroups — #7689581

Order 512.

4598 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59961C212yesmaximal, complemented
2#59877C214yesmaximal, complemented
3#59583C212yesmaximal, complemented
4#59434C211yesmaximal, characteristic, complemented
5#59395C212yesmaximal, complemented
6#59262C211yesmaximal, characteristic, complemented
7#59256C212yesmaximal, complemented
8#59244C211yesmaximal, characteristic, complemented
9#45261C212yesmaximal, complemented
10#45166C212yesmaximal, complemented
11#44629C214yesmaximal, complemented
12#43815C214yesmaximal, complemented
13#40225C212yesmaximal, complemented
14#40218C212yesmaximal
15#39599C211yesmaximal, characteristic, complemented
16#39182C211yesmaximal, characteristic, complemented
17#38795C214yesmaximal, complemented
18#37937C212yesmaximal, complemented
19#36590C211yesmaximal, characteristic, complemented
20#36586C211yesmaximal, characteristic, complemented
21#36505C211yesmaximal, characteristic, complemented
22#36478C212yesmaximal, complemented
23#36385C212yesmaximal, complemented
24#36313C212yesmaximal, complemented
25#36288C211yesmaximal, characteristic, complemented
26#36209C211yesmaximal, characteristic, complemented
27#36050C212yesmaximal, complemented
28#36017C212yesmaximal, complemented
29#34975C212yesmaximal, complemented
30#34720C211yesmaximal, characteristic
31#34337C211yesmaximal, characteristic, complemented
32#34307C212yesmaximal, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2212yes—
38C2×#552C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2863C2214yes—
42#2862C2212yes—
43#2861C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2851C2212yes—
48#2850C2212yes—
49#2808C2214yes—
50#2805C2214yes—
51#2800C2214yes—
52#2777C2214yes—
53#2775C2214yes—
54#2770C2214yes—
55#2770C2214yes—
56#2769C2214yes—
57#2768C2214yes—
58#2767C2214yes—
59#2765C2214yes—
60#2759C2214yes—
61#2755C2214yes—
62#2750C2214yes—
63#2727C2214yes—
64#2726C2214yes—
65#2721C2214yes—
66#2718C2214yes—
67#2715C2214yes—
68#2710C2214yes—
69#2704C2214yes—
70#2651C2214yes—
71#2648C2214yes—
72#2647C2212yes—
73#2629C2212yes—
74#2612C2214yes—
75#2611C2214yes—
76#2611C2214yes—
77#2609C2214yes—
78#2606C2214yes—
79#2605C2214yes—
80#2596C2214yes—
81#2596C2214yes—
82#2594C2214yes—
83#2594C2214yes—
84#2594C2214yes—
85#2594C2214yes—
86#2593C2214yes—
87#2593C2214yes—
88#2589C2214yes—
89#2587C2214yes—
90#2584C2212yes—
91#2582C2212yes—
92#2582C2211yescharacteristic
93#2574C2214yes—
94#2574C2214yes—
95#2571C2212yes—
96#2571C2211yescharacteristic
97#2570C2214yes—
98#2568C2212yes—
99#2562C2212yes—
100#2556C2214yes—
101#2551C2211yescharacteristic
102#2550C2212yes—
103#2550C2212yes—
104#2547C2211yescharacteristic
105#2546C2212yes—
106#2546C2211yescharacteristic
107#2545C2212yes—
108#2538C2211yescharacteristic
109#2536C2212yes—
110#2536C2212yes—
111#2533C2214yes—
112#2532C2214yes—
113#2532C2214yes—
114#2532C2214yes—
115#2529C2214yes—
116#2529C2214yes—
117#2528C2214yes—
118#2528C2214yes—
119#2528C2214yes—
120#2525C2214yes—
121#2524C2214yes—
122#2524C2214yes—
123#2518C2214yes—
124#2518C2214yes—
125#2514C2212yes—
126#2514C2214yes—
127#2514C2214yes—
128#2514C2212yes—
129#2514C2212yes—
130#2513C2212yes—
131#2512C2212yes—
132#2510C2214yes—
133#2508C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2508C2212yes—
137#2506C2212yes—
138#2506C2212yes—
139#2499C2214yes—
140#2497C2212yes—
141#2496C2212yes—
142#2495C2212yes—
143#2495C2212yes—
144#2495C2212yes—
145#2495C2212yes—
146#2494C2212yes—
147#2494C2212yes—
148#2494C2212yes—
149#2492C2212yes—
150#2491C2212yes—
151#2489C2212yes—
152#2489C2212yes—
153#2487C2212yes—
154#2485C2212yes—
155#2485C2212yes—
156#2485C2212yes—
157#2478C2214yes—
158#2477C2212yes—
159#2475C2214yes—
160#2475C2214yes—
161#2475C2212yes—
162#2474C2214yes—
163#2469C2214yes—
164#2469C2214yes—
165#2463C2212yes—
166#2460C2214yes—
167#2460C2212yes—
168#2453C2212yes—
169#2453C2214yes—
170#2452C2211yescharacteristic
171#2451C2212yes—
172#2448C2212yes—
173#2448C2212yes—
174#2446C2212yes—
175#2446C2211yescharacteristic
176#2441C2212yes—
177#2439C2212yes—
178#2439C2212yes—
179#2439C2211yescharacteristic
180#2432C2212yes—
181#2432C2211yescharacteristic
182#2429C2212yes—
183#2429C2212yes—
184#2429C2212yes—
185#2427C2211yescharacteristic
186#2423C2212yes—
187#2423C2212yes—
188#2421C2212yes—
189#2421C2212yes—
190#2421C2211yescharacteristic
191#2415C2211yescharacteristic
192#2407C2211yescharacteristic
193#2402C2214yes—
194#2401C2214yes—
195#2398C2212yes—
196#2392C2212yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2212yes—
200#2372C2214yes—
201#2371C2212yes—
202#2370C2214yes—
203#2370C2212yes—
204#2370C2214yes—
205#2370C2211yescharacteristic
206#2369C2212yes—
207#2369C2212yes—
208#2367C2212yes—
209#2365C2212yes—
210#2365C2212yes—
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2365C2212yes—
214#2362C2212yes—
215#2362C2212yes—
216#2362C2211yescharacteristic
217#2360C2211yescharacteristic
218#2359C2212yes—
219#2356C2214yes—
220#2356C2212yes—
221#2356C2212yes—
222#2356C2212yes—
223#2356C2211yescharacteristic
224#2355C2211yescharacteristic
225#2355C2212yes—
226#2355C2212yes—
227#2355C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2352C2212yes—
233#2352C2211yescharacteristic
234Q8×C4⋊C4C2212yes—
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240#2347C2212yes—
241#2347C2212yes—
242#2347C2212yes—
243#2346C2212yes—
244#2346C2212yes—
245#2346C2214yes—
246#2346C2214yes—
247#2346C2211yescharacteristic
248#2346C2212yes—
249#2346C2212yes—
250#2344C2211yescharacteristic
251#2343C2212yes—
252#2341C2212yes—
253#2337C2214yes—
254#2334C2214yes—
255#2331C2212yes—
256#2330C2212yes—
257#2330C2214yes—
258#2329C2214yes—
259#2323C2212yes—
260#2317C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2214yes—
266C4×#125C2212yes—
267C4×#126C2214yes—
268C4×#126C2212yes—
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280#2295C2214yes—
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2295C2212yes—
284#2293C2212yes—
285#2293C2214yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2276C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#557—28no—
301#556—216no—
302#552—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#123C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C4×#41—28no—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C42C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379#401C2314yes—
380#401C2314yes—
381#401C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2312yes—
450#394C2314yes—
451#394C2312yes—
452#393C2314yes—
453#393C2314yes—
454#393C2312yes—
455#393C2312yes—
456#392C2312yes—
457#391C2311yescharacteristic
458#391C2312yes—
459#391C2311yescharacteristic
460#391C2314yes—
461#391C2314yes—
462#391C2312yes—
463#391C2314yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#389C2312yes—
492#389C2314yes—
493#389C2311yescharacteristic
494#389C2314yes—
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2314yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#388C2312yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
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#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
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#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2314yes—
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2311yescharacteristic
675#383C2312yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#383C2314yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#381C2312yes—
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841C4⋊Q8—24no—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846#126—28no—
847#126—216no—
848#126—216no—
849#125—28no—
850#125—28no—
851#125—24no—
852#125—216no—
853#125—28no—
854#125—48no—
855#125—44no—
856#124—216no—
857#124—44no—
858#124—42no—
859#123—28no—
860C22⋊Q8—24no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—24no—
864C22⋊Q8—28no—
865C22⋊Q8—44no—
866C22⋊Q8—42no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8#4118yescomplemented
870#121—42no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—216no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8#4118yes—
887C4×D4—24no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—42no—
894C4×D4—42no—
895#117—28no—
896#117—24no—
897#117—28no—
898#117—24no—
899#117—28no—
900#117—24no—
901#117—28no—
902#117—28no—
903#117—28no—
904#117—48no—
905#117—44no—
906#117—44no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C42—24no—
1025C2×C42—28no—
1026C2×C42—24no—
1027C2×C42—44no—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2414yes—
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155C24C2512yes—
1156C24C2511yescharacteristic
1157C24C2511yescharacteristic
1158#41—416no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—28no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—42no—
1174C2×Q8—44no—
1175C2×Q8C2×#4114yes—
1176C2×Q8C2×#4114yes—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—41no—
1221C22×C4C2×#4114yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—41no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4C2×#4114yes—
1326C4⋊C4C2×#4114yes—
1327C4⋊C4C2×#4118yes—
1328C4⋊C4C2×#4118yes—
1329C4⋊C42−1+414yes—
1330C22⋊C4—22no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—22no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—22no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4C2×#4118yes—
1369C42—22no—
1370C42—24no—
1371C42—22no—
1372C42—24no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—24no—
1378C42—24no—
1379C42—24no—
1380C42—28no—
1381C42—28no—
1382C42—22no—
1383C42—24no—
1384C42—28no—
1385C42—28no—
1386C42—24no—
1387C42—24no—
1388C42—28no—
1389C42—24no—
1390C42—22no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—28no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—41no—
1405C42—42no—
1406C42—41no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42C2×#4114yes—
1413C42C2×#4118yes—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—22no—
1421C23—21no—
1422C23—22no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—22no—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23C22×#4112yes—
1435C23C2611yescharacteristic
1436Q8—28no—
1437Q8—28no—
1438Q8—44no—
1439Q8—48no—
1440Q8—84no—
1441Q8—88no—
1442D4—48no—
1443D4—44no—
1444D4—44no—
1445D4—84no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—28no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—44no—
1530C2×C4—48no—
1531C2×C4—48no—
1532C2×C4—48no—
1533C2×C4—44no—
1534C2×C4—48no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—82no—
1538C2×C4—84no—
1539C2×C4C22×#4112yes—
1540C2×C4C22×#4114yes—
1541C2×C4C22×#4114yes—
1542C2×C4C22×#4114yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4114yes—
1545C2×C4C22×#4112yes—
1546C2×C4C22×#4112yes—
1547C2×C4C22×#4112yes—
1548C2×C4C2×2−1+414yes—
1549C2×C4C2×2−1+412yes—
1550C2×C4#58512yes—
1551C2×C4#58512yes—
1552C2×C4#58512yes—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—42no—
1561C22—41no—
1562C22—42no—
1563C22—41no—
1564C22—42no—
1565C22—41no—
1566C22—42no—
1567C22—41no—
1568C22—41no—
1569C22—42no—
1570C22—42no—
1571C22—41no—
1572C22—42no—
1573C22—41no—
1574C22C23×#4111yescharacteristic
1575C22C23×#4111yescharacteristic
1576C22C22×2−1+411yescharacteristic
1577C22C2×#58511yescharacteristic
1578C22C2×#58511yescharacteristic
1579C22C2×#58511yescharacteristic
1580C222−1+611yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—24no—
1584C4—24no—
1585C4—24no—
1586C4—24no—
1587C4—22no—
1588C4—24no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—42no—
1594C4—44no—
1595C4—41no—
1596C4—41no—
1597C4—42no—
1598C4—44no—
1599C4—41no—
1600C4—42no—
1601C4—44no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—42no—
1609C4—41no—
1610C4—42no—
1611C4#348214yes—
1612C4#349314yes—
1613C2—42no—
1614C2—82no—
1615C2—81no—
1616C2C2×#348211yescharacteristic
1617C2C2×#349311yescharacteristic
1618C2#6279311yescharacteristic
1619C2#6295011yescharacteristic
1620C2#6299311yescharacteristic
1621C2#6300911yescharacteristic
1622C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59961C2semidirect
2. #59877C2semidirect
3. #59583C2semidirect
4. #59434C2semidirect
5. #59395C2semidirect
6. #59262C2semidirect
7. #59256C2semidirect
8. #59244C2semidirect
9. #45261C2semidirect
10. #45166C2semidirect
11. #44629C2semidirect
12. #43815C2semidirect
13. #40225C2semidirect
15. #39599C2semidirect
16. #39182C2semidirect
17. #38795C2semidirect
18. #37937C2semidirect
19. #36590C2semidirect
20. #36586C2semidirect
21. #36505C2semidirect
22. #36478C2semidirect
23. #36385C2semidirect
24. #36313C2semidirect
25. #36288C2semidirect
26. #36209C2semidirect
27. #36050C2semidirect
28. #36017C2semidirect
29. #34975C2semidirect
31. #34337C2semidirect
32. #34307C2semidirect
33. #34213C2semidirect
34. C4×#552C2semidirect
35. #34129C2semidirect
869. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599612
#598772
#595832
#594342
#593952
#592622
#592562
#592442
#452612
#451662
#446292
#438152
#402252
#402182
#395992
#391822
#387952
#379372
#365902
#365862
#365052
#364782
#363852
#363132
#362882
#362092
#360502
#360172
#349752
#347202
#343372
#343072
#342132
C4×#5522
#341292