Finite Group Databasebeta

← #7690629

Subgroups — #7690629

Order 512.

4760 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59857C212yesmaximal, complemented
2#59536C214yesmaximal, complemented
3#59486C212yesmaximal, complemented
4#59434C211yesmaximal, characteristic, complemented
5#59296C212yesmaximal, complemented
6#59245C211yesmaximal, characteristic, complemented
7#59243C211yesmaximal, characteristic, complemented
8#59200C212yesmaximal, complemented
9#45187C212yesmaximal
10#45169C212yesmaximal, complemented
11#44478C214yesmaximal, complemented
12#43631C214yesmaximal, complemented
13#39913C212yesmaximal, complemented
14#39911C212yesmaximal, complemented
15#39353C211yesmaximal, characteristic, complemented
16#39114C214yesmaximal, complemented
17#39070C212yesmaximal, complemented
18#38940C211yesmaximal, characteristic, complemented
19#36589C212yesmaximal, complemented
20#36459C212yesmaximal, complemented
21#36407C211yesmaximal, characteristic, complemented
22#36405C211yesmaximal, characteristic, complemented
23#36312C211yesmaximal, characteristic, complemented
24#36210C211yesmaximal, characteristic, complemented
25#36204C212yesmaximal, complemented
26#36161C211yesmaximal, characteristic, complemented
27#35974C212yesmaximal, complemented
28#35804C212yesmaximal, complemented
29#34898C211yesmaximal, characteristic, complemented
30#34814C212yesmaximal, complemented
31#34286C212yesmaximal, complemented
32#34193C211yesmaximal, characteristic, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#541C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2860C2212yes—
42#2860C2214yescomplemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2857C2212yescomplemented
47#2855C2212yescomplemented
48#2848C2212yes—
49#2788C2214yes—
50#2786C2214yescomplemented
51#2777C2214yescomplemented
52#2775C2214yescomplemented
53#2770C2214yescomplemented
54#2765C2214yescomplemented
55#2765C2214yescomplemented
56#2751C2214yes—
57#2751C2214yescomplemented
58#2740C2214yes—
59#2739C2214yescomplemented
60#2738C2214yescomplemented
61#2737C2214yescomplemented
62#2736C2214yes—
63#2735C2214yes—
64#2722C2214yes—
65#2719C2214yescomplemented
66#2711C2214yes—
67#2694C2214yes—
68#2685C2214yes—
69#2685C2214yes—
70#2654C2214yescomplemented
71#2653C2214yes—
72#2640C2212yes—
73#2625C2212yes—
74#2597C2214yescomplemented
75#2597C2214yescomplemented
76#2596C2214yescomplemented
77#2596C2214yescomplemented
78#2595C2214yes—
79#2594C2214yescomplemented
80#2594C2214yescomplemented
81#2593C2214yescomplemented
82#2590C2214yescomplemented
83#2589C2214yescomplemented
84#2588C2214yescomplemented
85#2582C2211yescharacteristic, complemented
86#2577C2212yes—
87#2575C2214yescomplemented
88#2575C2212yescomplemented
89#2574C2214yescomplemented
90#2573C2214yescomplemented
91#2573C2214yescomplemented
92#2570C2211yescharacteristic, complemented
93#2568C2212yescomplemented
94#2565C2211yescharacteristic, complemented
95#2563C2212yescomplemented
96#2562C2211yescharacteristic
97#2562C2212yes—
98#2561C2214yes—
99#2560C2214yes—
100#2560C2214yescomplemented
101#2558C2214yes—
102#2556C2214yescomplemented
103#2552C2211yescharacteristic, complemented
104#2552C2212yescomplemented
105#2551C2211yescharacteristic, complemented
106#2547C2211yescharacteristic
107#2546C2211yescharacteristic, complemented
108#2545C2212yes—
109#2538C2211yescharacteristic
110#2536C2211yescharacteristic
111#2532C2214yescomplemented
112#2532C2214yescomplemented
113#2532C2214yescomplemented
114#2529C2214yescomplemented
115#2527C2214yescomplemented
116#2527C2214yescomplemented
117#2526C2214yescomplemented
118#2525C2214yescomplemented
119#2525C2214yescomplemented
120#2524C2212yescomplemented
121#2523C2214yes—
122#2519C2214yescomplemented
123#2518C2214yes—
124#2516C2214yescomplemented
125#2514C2212yescomplemented
126#2514C2212yescomplemented
127#2514C2214yescomplemented
128#2513C2212yes—
129#2511C2212yescomplemented
130#2509C2212yescomplemented
131#2509C2212yescomplemented
132#2508C2212yescomplemented
133#2506C2212yescomplemented
134#2499C2212yescomplemented
135#2497C2212yes—
136#2497C2212yescomplemented
137#2496C2212yes—
138#2496C2212yes—
139#2496C2211yescharacteristic, complemented
140#2496C2212yescomplemented
141#2495C2211yescharacteristic
142#2495C2212yes—
143#2495C2212yescomplemented
144#2495C2214yescomplemented
145#2494C2212yes—
146#2494C2212yescomplemented
147#2494C2212yescomplemented
148#2494C2212yescomplemented
149#2494C2212yescomplemented
150#2493C2214yescomplemented
151#2493C2214yescomplemented
152#2493C2214yescomplemented
153#2492C2212yes—
154#2492C2212yescomplemented
155#2490C2214yes—
156#2490C2212yes—
157#2485C2212yes—
158#2485C2212yes—
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2480C2214yes—
162#2480C2214yes—
163#2480C2214yes—
164#2480C2214yes—
165#2478C2214yescomplemented
166#2468C2212yes—
167#2468C2214yescomplemented
168#2466C2214yes—
169#2454C2212yes—
170#2453C2212yescomplemented
171#2452C2212yes—
172#2448C2212yes—
173#2448C2212yes—
174#2447C2212yes—
175#2447C2212yes—
176#2446C2212yescomplemented
177#2441C2212yescomplemented
178#2441C2212yescomplemented
179#2439C2212yes—
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2435C2212yes—
183#2432C2212yes—
184#2426C2212yes—
185#2423C2211yescharacteristic, complemented
186#2423C2212yescomplemented
187#2421C2211yescharacteristic
188#2421C2212yescomplemented
189#2415C2212yes—
190#2415C2212yes—
191#2415C2212yescomplemented
192#2415C2212yescomplemented
193#2402C2212yescomplemented
194#2401C2214yes—
195#2401C2214yescomplemented
196#2395C2212yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2214yescomplemented
200#2371C2214yescomplemented
201#2370C2212yescomplemented
202#2370C2212yescomplemented
203#2370C2212yescomplemented
204#2370C2214yescomplemented
205#2369C2212yescomplemented
206#2369C2212yescomplemented
207#2368C2214yescomplemented
208#2367C2212yes—
209#2367C2211yescharacteristic
210#2367C2212yes—
211#2365C2211yescharacteristic, complemented
212#2365C2212yescomplemented
213#2365C2212yescomplemented
214#2364C2212yes—
215#2363C2211yescharacteristic
216#2362C2212yes—
217#2362C2212yes—
218#2362C2212yescomplemented
219#2362C2212yescomplemented
220#2362C2212yescomplemented
221#2360C2212yes—
222#2360C2211yescharacteristic
223#2359C2212yes—
224#2358C2212yes—
225#2357C2212yes—
226#2357C2212yes—
227#2357C2214yes—
228#2356C2212yescomplemented
229#2355C2211yescharacteristic, complemented
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2354C2211yescharacteristic
236#2354C2212yes—
237#2354C2212yescomplemented
238#2354C2212yescomplemented
239#2354C2212yescomplemented
240#2352C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic, complemented
242Q8×C4⋊C4C2211yescharacteristic, complemented
243#2349C2211yescharacteristic
244#2347C2212yescomplemented
245#2347C2212yescomplemented
246#2347C2212yescomplemented
247#2347C2214yescomplemented
248#2347C2212yescomplemented
249#2346C2212yescomplemented
250#2342C2212yes—
251#2341C2212yes—
252#2339C2211yescharacteristic
253D4×C22⋊C4C2211yescharacteristic
254#2336C2214yescomplemented
255#2334C2214yes—
256#2320C2212yescomplemented
257#2319C2212yes—
258#2319C2214yescomplemented
259#2312C2214yes—
260#2309C2212yes—
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#125C2211yescharacteristic, complemented
263C4×#125C2214yescomplemented
264C4×#126C2214yes—
265C4×#126C2212yescomplemented
266C4×#126C2214yescomplemented
267C4×#126C2214yescomplemented
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×#123C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#120C2212yes—
278#2298C2212yes—
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2295C2212yescomplemented
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic, complemented
285#2285C2212yescomplemented
286#2283C2211yescharacteristic, complemented
287#2283C2212yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2276C2212yescomplemented
292#2274C2212yes—
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#546—28no—
304#541—216no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#123C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#120C2312yes—
334C4×#41—28no—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×D4—28no—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2314yes—
381#401C2314yes—
382#401C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#390C2314yes—
478#390C2314yes—
479#390C2314yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2314yes—
492#389C2312yes—
493#389C2314yes—
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#388C2312yes—
533#388C2314yes—
534#388C2314yes—
535#388C2312yes—
536#388C2314yes—
537#388C2312yes—
538#388C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#384C2311yescharacteristic
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2312yes—
662#384C2312yes—
663#383C2314yes—
664#383C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2312yes—
668#383C2314yes—
669#383C2314yes—
670#382C2314yes—
671#382C2311yescharacteristic
672#382C2311yescharacteristic
673#382C2312yes—
674#382C2312yes—
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2314yes—
678#382C2312yes—
679#382C2311yescharacteristic
680#382C2312yes—
681#381C2314yes—
682#381C2314yes—
683#381C2314yes—
684#381C2312yes—
685#381C2314yes—
686#381C2312yes—
687#381C2314yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2311yescharacteristic
693#380C2311yescharacteristic
694#380C2311yescharacteristic
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2314yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#379C2314yes—
718#379C2314yes—
719#379C2314yes—
720#379C2312yes—
721#379C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4—44no—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C4⋊Q8—28no—
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854#126—216no—
855#126—216no—
856#126—216no—
857#126—48no—
858#126—44no—
859#125—28no—
860#125—216no—
861#125—216no—
862#125—42no—
863#125—44no—
864#124—24no—
865#124—28no—
866#124—44no—
867#123—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872C22⋊Q8—42no—
873C22⋊Q8—44no—
874C22⋊Q8—42no—
875C22⋊Q8#4118yes—
876#121—24no—
877#121—28no—
878#120—28no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—42no—
886C4×Q8—44no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—42no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4#4118yes—
904#117—28no—
905#117—28no—
906#117—24no—
907#117—28no—
908#117—44no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—44no—
913#117—44no—
914#117—44no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C22⋊C4—28no—
984C2×C22⋊C4—28no—
985C2×C22⋊C4—44no—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C42—28no—
1039C2×C42—24no—
1040C2×C42—24no—
1041C2×C42—44no—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24—24no—
1161C24—24no—
1162C24—42no—
1163C24—42no—
1164C24—42no—
1165C24—42no—
1166C24—42no—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169C24C2511yescharacteristic
1170C24C2512yes—
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8C2×#4114yes—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—416no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4C2×#4114yes—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—816no—
1247C22×C4C2×#4118yes—
1248C22×C4C2×#4114yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—22no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4C2×#4118yes—
1347C22⋊C4—22no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—22no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4C2×#4118yes—
1398C22⋊C4C2×#4118yes—
1399C42—22no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—24no—
1409C42—28no—
1410C42—24no—
1411C42—22no—
1412C42—24no—
1413C42—28no—
1414C42—28no—
1415C42—22no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42—41no—
1426C42—42no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C42C2×#4114yes—
1439C23—22no—
1440C23—21no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—48no—
1466C23—48no—
1467C23—84no—
1468C23—84no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23C22×#4112yes—
1473C23C22×#4114yes—
1474C23C2611yescharacteristic
1475Q8—28no—
1476Q8—48no—
1477Q8—44no—
1478Q8—164no—
1479D4—28no—
1480D4—48no—
1481D4—48no—
1482D4—44no—
1483D4—44no—
1484D4—84no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—28no—
1498C2×C4—216no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—48no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—48no—
1572C2×C4—44no—
1573C2×C4—84no—
1574C2×C4—82no—
1575C2×C4—82no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4C22×#4114yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4114yes—
1584C2×C4C22×#4114yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4112yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C2×C4#58512yes—
1593C22—22no—
1594C22—24no—
1595C22—24no—
1596C22—22no—
1597C22—22no—
1598C22—24no—
1599C22—42no—
1600C22—41no—
1601C22—42no—
1602C22—41no—
1603C22—41no—
1604C22—42no—
1605C22—42no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—41no—
1612C22—42no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—41no—
1620C22—42no—
1621C22—816no—
1622C22C23×#4111yescharacteristic
1623C22C23×#4111yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22C2×#58511yescharacteristic
1627C22C2×#58511yescharacteristic
1628C222−1+611yescharacteristic
1629C4—24no—
1630C4—22no—
1631C4—22no—
1632C4—24no—
1633C4—22no—
1634C4—24no—
1635C4—42no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—44no—
1655C4—41no—
1656C4—42no—
1657C4—44no—
1658C4#347514yes—
1659C4#352114yes—
1660C2—44no—
1661C2—42no—
1662C2—81no—
1663C2—82no—
1664C2C2×#347511yescharacteristic
1665C2C2×#352111yescharacteristic
1666C2#6279311yescharacteristic
1667C2#6296711yescharacteristic
1668C2#6299511yescharacteristic
1669C2#6300911yescharacteristic
1670C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59857C2semidirect
2. #59536C2semidirect
3. #59486C2semidirect
4. #59434C2semidirect
5. #59296C2semidirect
6. #59245C2semidirect
7. #59243C2semidirect
8. #59200C2semidirect
10. #45169C2semidirect
11. #44478C2semidirect
12. #43631C2semidirect
13. #39913C2semidirect
14. #39911C2semidirect
15. #39353C2semidirect
16. #39114C2semidirect
17. #39070C2semidirect
18. #38940C2semidirect
19. #36589C2semidirect
20. #36459C2semidirect
21. #36407C2semidirect
22. #36405C2semidirect
23. #36312C2semidirect
24. #36210C2semidirect
25. #36204C2semidirect
26. #36161C2semidirect
27. #35974C2semidirect
28. #35804C2semidirect
29. #34898C2semidirect
30. #34814C2semidirect
31. #34286C2semidirect
32. #34193C2semidirect
33. #34186C2semidirect
34. C4×#556C2semidirect
42. #2860C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2857C22semidirect
47. #2855C22semidirect
50. #2786C22semidirect
51. #2777C22semidirect
52. #2775C22semidirect
53. #2770C22semidirect
54. #2765C22semidirect
55. #2765C22semidirect
57. #2751C22semidirect
59. #2739C22semidirect
60. #2738C22semidirect
61. #2737C22semidirect
65. #2719C22semidirect
70. #2654C22semidirect
74. #2597C22semidirect
75. #2597C22semidirect
76. #2596C22semidirect
77. #2596C22semidirect
79. #2594C22semidirect
80. #2594C22semidirect
81. #2593C22semidirect
82. #2590C22semidirect
83. #2589C22semidirect
84. #2588C22semidirect
85. #2582C22semidirect
87. #2575C22semidirect
88. #2575C22semidirect
89. #2574C22semidirect
90. #2573C22semidirect
91. #2573C22semidirect
92. #2570C22semidirect
93. #2568C22semidirect
94. #2565C22semidirect
95. #2563C22semidirect
100. #2560C22semidirect
102. #2556C22semidirect
103. #2552C22semidirect
104. #2552C22semidirect
105. #2551C22semidirect
107. #2546C22semidirect
111. #2532C22semidirect
112. #2532C22semidirect
113. #2532C22semidirect
114. #2529C22semidirect
115. #2527C22semidirect
116. #2527C22semidirect
117. #2526C22semidirect
118. #2525C22semidirect
119. #2525C22semidirect
120. #2524C22semidirect
122. #2519C22semidirect
124. #2516C22semidirect
125. #2514C22semidirect
126. #2514C22semidirect
127. #2514C22semidirect
129. #2511C22semidirect
130. #2509C22semidirect
131. #2509C22semidirect
132. #2508C22semidirect
133. #2506C22semidirect
134. #2499C22semidirect
136. #2497C22semidirect
139. #2496C22semidirect
140. #2496C22semidirect
143. #2495C22semidirect
144. #2495C22semidirect
146. #2494C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
150. #2493C22semidirect
151. #2493C22semidirect
152. #2493C22semidirect
154. #2492C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
165. #2478C22semidirect
167. #2468C22semidirect
170. #2453C22semidirect
176. #2446C22semidirect
177. #2441C22semidirect
178. #2441C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
185. #2423C22semidirect
186. #2423C22semidirect
188. #2421C22semidirect
191. #2415C22semidirect
192. #2415C22semidirect
193. #2402C22semidirect
195. #2401C22semidirect
199. #2373C22semidirect
200. #2371C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2369C22semidirect
206. #2369C22semidirect
207. #2368C22semidirect
211. #2365C22semidirect
212. #2365C22semidirect
213. #2365C22semidirect
218. #2362C22semidirect
219. #2362C22semidirect
220. #2362C22semidirect
228. #2356C22semidirect
229. #2355C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
239. #2354C22semidirect
241. Q8×C4⋊C4C22semidirect
242. Q8×C4⋊C4C22semidirect
244. #2347C22semidirect
245. #2347C22semidirect
246. #2347C22semidirect
247. #2347C22semidirect
248. #2347C22semidirect
249. #2346C22semidirect
254. #2336C22semidirect
256. #2320C22semidirect
258. #2319C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×#125C22semidirect
263. C4×#125C22semidirect
265. C4×#126C22semidirect
266. C4×#126C22semidirect
267. C4×#126C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
281. #2295C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. #2283C22semidirect
287. #2283C22semidirect
291. #2276C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598572
#595362
#594862
#594342
#592962
#592452
#592432
#592002
#451872
#451692
#444782
#436312
#399132
#399112
#393532
#391142
#390702
#389402
#365892
#364592
#364072
#364052
#363122
#362102
#362042
#361612
#359742
#358042
#348982
#348142
#342862
#341932
#341862
C4×#5562
C4×#5462