Finite Group Databasebeta

← #7692259

Subgroups — #7692259

Order 512.

4779 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60001C214yesmaximal, complemented
2#59904C212yesmaximal, complemented
3#59427C211yesmaximal, characteristic, complemented
4#59306C212yesmaximal, complemented
5#59297C212yesmaximal, complemented
6#59256C211yesmaximal, characteristic, complemented
7#59211C211yesmaximal, characteristic, complemented
8#59202C212yesmaximal, complemented
9#45231C212yesmaximal, complemented
10#44961C212yesmaximal, complemented
11#43768C214yesmaximal, complemented
12#43701C214yesmaximal, complemented
13#40004C212yesmaximal, complemented
14#39908C212yesmaximal, complemented
15#39761C211yesmaximal, characteristic, complemented
16#39734C211yesmaximal, characteristic, complemented
17#38194C214yesmaximal, complemented
18#38094C212yesmaximal
19#36586C211yesmaximal, characteristic, complemented
20#36515C212yesmaximal, complemented
21#36405C211yesmaximal, characteristic, complemented
22#36310C212yesmaximal, complemented
23#36204C212yesmaximal, complemented
24#36194C211yesmaximal, characteristic, complemented
25#36188C211yesmaximal, characteristic, complemented
26#36161C211yesmaximal, characteristic, complemented
27#35974C212yesmaximal, complemented
28#35789C212yesmaximal, complemented
29#34814C212yesmaximal, complemented
30#34772C211yesmaximal, characteristic, complemented
31#34324C211yesmaximal, characteristic, complemented
32#34307C212yesmaximal, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic
35#34121C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#556C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2868C2211yescharacteristic, complemented
42#2866C2214yescomplemented
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic, complemented
45#2857C2212yescomplemented
46#2855C2212yescomplemented
47#2850C2212yes—
48#2848C2212yes—
49#2793C2214yescomplemented
50#2783C2214yescomplemented
51#2779C2214yescomplemented
52#2770C2214yes—
53#2766C2214yescomplemented
54#2764C2214yescomplemented
55#2764C2214yescomplemented
56#2761C2214yes—
57#2750C2214yescomplemented
58#2747C2214yes—
59#2747C2214yescomplemented
60#2747C2214yescomplemented
61#2735C2214yes—
62#2735C2214yes—
63#2728C2214yescomplemented
64#2723C2214yes—
65#2716C2214yescomplemented
66#2691C2214yes—
67#2691C2214yes—
68#2684C2214yes—
69#2684C2214yes—
70#2654C2214yescomplemented
71#2652C2214yes—
72#2640C2212yes—
73#2621C2212yes—
74#2597C2214yescomplemented
75#2596C2214yescomplemented
76#2592C2212yes—
77#2589C2214yescomplemented
78#2588C2214yescomplemented
79#2585C2214yescomplemented
80#2582C2211yescharacteristic, complemented
81#2578C2214yescomplemented
82#2578C2214yescomplemented
83#2576C2214yescomplemented
84#2576C2214yescomplemented
85#2573C2214yescomplemented
86#2573C2214yescomplemented
87#2571C2211yescharacteristic, complemented
88#2571C2211yescharacteristic, complemented
89#2570C2212yescomplemented
90#2570C2212yescomplemented
91#2570C2212yescomplemented
92#2568C2212yescomplemented
93#2568C2212yescomplemented
94#2563C2212yes—
95#2561C2214yes—
96#2560C2214yescomplemented
97#2547C2211yescharacteristic
98#2547C2212yes—
99#2547C2212yes—
100#2546C2211yescharacteristic, complemented
101#2545C2212yes—
102#2538C2212yes—
103#2538C2211yescharacteristic
104#2536C2212yescomplemented
105#2532C2214yescomplemented
106#2532C2214yescomplemented
107#2532C2214yescomplemented
108#2531C2214yes—
109#2529C2214yescomplemented
110#2528C2214yescomplemented
111#2528C2214yescomplemented
112#2527C2214yescomplemented
113#2527C2214yescomplemented
114#2527C2214yescomplemented
115#2527C2214yescomplemented
116#2526C2214yes—
117#2525C2214yescomplemented
118#2525C2214yescomplemented
119#2524C2214yescomplemented
120#2523C2214yes—
121#2522C2212yes—
122#2520C2212yescomplemented
123#2517C2214yes—
124#2515C2214yescomplemented
125#2514C2212yescomplemented
126#2514C2212yescomplemented
127#2514C2212yescomplemented
128#2513C2212yes—
129#2512C2212yes—
130#2511C2212yescomplemented
131#2511C2211yescharacteristic, complemented
132#2510C2214yescomplemented
133#2508C2212yescomplemented
134#2507C2212yescomplemented
135#2507C2211yescharacteristic, complemented
136#2505C2212yescomplemented
137#2502C2211yescharacteristic, complemented
138#2500C2212yes—
139#2499C2212yes—
140#2499C2212yes—
141#2499C2212yescomplemented
142#2499C2212yescomplemented
143#2497C2211yescharacteristic
144#2497C2212yescomplemented
145#2497C2214yescomplemented
146#2496C2212yes—
147#2496C2212yes—
148#2496C2212yescomplemented
149#2496C2212yescomplemented
150#2496C2212yescomplemented
151#2495C2212yes—
152#2495C2212yescomplemented
153#2495C2212yescomplemented
154#2494C2212yes—
155#2494C2212yes—
156#2494C2212yescomplemented
157#2493C2214yescomplemented
158#2493C2214yescomplemented
159#2493C2214yescomplemented
160#2492C2211yescharacteristic
161#2492C2212yescomplemented
162#2492C2214yescomplemented
163#2487C2211yescharacteristic
164#2487C2212yescomplemented
165#2485C2212yes—
166#2485C2212yescomplemented
167#2485C2212yescomplemented
168#2480C2214yes—
169#2480C2214yes—
170#2480C2214yes—
171#2480C2214yes—
172#2478C2214yescomplemented
173#2468C2214yescomplemented
174#2466C2214yes—
175#2458C2214yes—
176#2458C2214yes—
177#2450C2212yes—
178#2448C2212yes—
179#2447C2212yes—
180#2447C2212yes—
181#2446C2212yescomplemented
182#2440C2211yescharacteristic, complemented
183#2439C2212yescomplemented
184#2439C2212yescomplemented
185#2439C2212yescomplemented
186#2439C2212yescomplemented
187#2435C2212yes—
188#2432C2212yes—
189#2421C2212yes—
190#2417C2211yescharacteristic
191#2415C2212yes—
192#2415C2212yescomplemented
193#2402C2212yescomplemented
194#2401C2214yes—
195#2401C2214yescomplemented
196#2396C2212yes—
197#2373C2214yes—
198#2373C2214yescomplemented
199#2373C2214yescomplemented
200#2372C2214yes—
201#2369C2212yescomplemented
202#2368C2214yescomplemented
203#2367C2212yes—
204#2367C2212yes—
205#2367C2211yescharacteristic
206#2365C2211yescharacteristic, complemented
207#2365C2212yescomplemented
208#2365C2212yescomplemented
209#2365C2212yescomplemented
210#2364C2212yes—
211#2363C2211yescharacteristic
212#2362C2212yescomplemented
213#2362C2212yescomplemented
214#2362C2212yescomplemented
215#2360C2212yes—
216#2360C2211yescharacteristic
217#2359C2212yes—
218#2358C2212yes—
219#2357C2212yes—
220#2357C2212yes—
221#2357C2214yes—
222#2357C2212yes—
223#2356C2212yescomplemented
224#2356C2214yescomplemented
225#2356C2212yescomplemented
226#2356C2212yescomplemented
227#2355C2212yescomplemented
228#2355C2211yescharacteristic, complemented
229#2355C2211yescharacteristic, complemented
230#2355C2212yescomplemented
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2354C2212yes—
238#2353C2214yescomplemented
239#2352C2211yescharacteristic
240#2352C2212yescomplemented
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243Q8×C4⋊C4C2211yescharacteristic, complemented
244#2349C2211yescharacteristic
245#2347C2212yescomplemented
246#2347C2212yescomplemented
247#2346C2212yes—
248#2346C2212yescomplemented
249#2346C2212yescomplemented
250#2342C2212yes—
251#2339C2211yescharacteristic
252D4×C22⋊C4C2211yescharacteristic
253#2337C2214yes—
254#2334C2214yescomplemented
255#2334C2214yescomplemented
256#2331C2212yescomplemented
257#2326C2212yes—
258#2323C2212yes—
259#2312C2214yes—
260#2309C2212yes—
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#126C2214yes—
264C4×#126C2214yescomplemented
265C4×#124C2211yescharacteristic
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2212yescomplemented
269C4×C22⋊Q8C2212yescomplemented
270C4×C22⋊Q8C2212yescomplemented
271C4×C22⋊Q8C2211yescharacteristic, complemented
272C4×#123C2212yes—
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#120C2212yes—
276#2298C2214yescomplemented
277#2297C2212yes—
278#2296C2212yescomplemented
279#2296C2212yescomplemented
280#2295C2214yescomplemented
281#2295C2211yescharacteristic, complemented
282#2290C2212yes—
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic, complemented
286#2285C2212yescomplemented
287#2283C2212yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2276C2212yescomplemented
292#2274C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2212yescomplemented
296C4×#117C2212yescomplemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#556—216no—
304#546—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#124C2312yes—
316C2×#124C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#123C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#120C2312yes—
332C4×#41—28no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2314yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4—28no—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C42C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379C22×C42C2312yes—
380#401C2314yes—
381#401C2314yes—
382#401C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#399C2314yes—
403#399C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2312yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#395C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#393C2314yes—
453#393C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#391C2314yes—
459#391C2312yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2312yes—
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2312yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2314yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2314yes—
681#382C2311yescharacteristic
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#379C2314yes—
720#379C2314yes—
721#379C2314yes—
722#379C2312yes—
723#379C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2314yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C23×C4—28no—
834C23×C4—44no—
835C23×C4—44no—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C4⋊Q8—24no—
854C4⋊Q8—28no—
855C4⋊Q8—42no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859#126—216no—
860#126—216no—
861#126—216no—
862#126—48no—
863#124—28no—
864#124—216no—
865#124—24no—
866#124—44no—
867#123—28no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—44no—
873C22⋊Q8—42no—
874C22⋊Q8—42no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877#121—24no—
878#121—28no—
879#120—28no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—216no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—42no—
902C4×D4#4118yes—
903C4×D4#4118yes—
904#117—28no—
905#117—28no—
906#117—28no—
907#117—24no—
908#117—28no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—44no—
913#117—44no—
914#117—44no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4—42no—
917C2×C4⋊C4—42no—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C22⋊C4—28no—
985C2×C22⋊C4—28no—
986C2×C22⋊C4—44no—
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⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C42—28no—
1038C2×C42—24no—
1039C2×C42—24no—
1040C2×C42—44no—
1041C2×C42—44no—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
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
1169C24C2512yes—
1170C24C2511yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—416no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4C2×#4114yes—
1205C2×D4C2×#4114yes—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
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—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—816no—
1255C22×C4C2×#4118yes—
1256C22×C4C2×#4114yes—
1257C22×C4C2×#4114yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4C2×#4114yes—
1354C4⋊C4C2×#4114yes—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4C2×#4114yes—
1403C22⋊C4C2×#4118yes—
1404C22⋊C4C2×#4114yes—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—28no—
1415C42—28no—
1416C42—28no—
1417C42—28no—
1418C42—24no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—41no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42C2×#4114yes—
1442C42C2×#4114yes—
1443C23—21no—
1444C23—22no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—48no—
1469C23—48no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23C22×#4112yes—
1476C23C22×#4112yes—
1477C23C22×#4114yes—
1478C23C2611yescharacteristic
1479Q8—48no—
1480Q8—44no—
1481Q8—44no—
1482Q8—84no—
1483Q8—88no—
1484D4—28no—
1485D4—44no—
1486D4—48no—
1487D4—48no—
1488D4—44no—
1489D4—84no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—28no—
1505C2×C4—28no—
1506C2×C4—216no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—84no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4—84no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4#58512yes—
1597C2×C4#58512yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—24no—
1603C22—24no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—24no—
1609C22—42no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—816no—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C222−1+611yescharacteristic
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—24no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—44no—
1644C4—42no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—44no—
1658C4—44no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—44no—
1665C4#347514yes—
1666C4#352114yes—
1667C2—42no—
1668C2—44no—
1669C2—42no—
1670C2—82no—
1671C2C2×#347511yescharacteristic
1672C2C2×#352111yescharacteristic
1673C2#6281511yescharacteristic
1674C2#6293611yescharacteristic
1675C2#6299511yescharacteristic
1676C2#6300911yescharacteristic
1677C2#6302811yescharacteristic
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. #60001C2semidirect
2. #59904C2semidirect
3. #59427C2semidirect
4. #59306C2semidirect
5. #59297C2semidirect
6. #59256C2semidirect
7. #59211C2semidirect
8. #59202C2semidirect
9. #45231C2semidirect
10. #44961C2semidirect
11. #43768C2semidirect
12. #43701C2semidirect
13. #40004C2semidirect
14. #39908C2semidirect
15. #39761C2semidirect
16. #39734C2semidirect
17. #38194C2semidirect
19. #36586C2semidirect
20. #36515C2semidirect
21. #36405C2semidirect
22. #36310C2semidirect
23. #36204C2semidirect
24. #36194C2semidirect
25. #36188C2semidirect
26. #36161C2semidirect
27. #35974C2semidirect
28. #35789C2semidirect
29. #34814C2semidirect
30. #34772C2semidirect
31. #34324C2semidirect
32. #34307C2semidirect
33. #34186C2semidirect
35. #34121C2semidirect
41. #2868C22semidirect
42. #2866C22semidirect
44. #2857C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
49. #2793C22semidirect
50. #2783C22semidirect
51. #2779C22semidirect
53. #2766C22semidirect
54. #2764C22semidirect
55. #2764C22semidirect
57. #2750C22semidirect
59. #2747C22semidirect
60. #2747C22semidirect
63. #2728C22semidirect
65. #2716C22semidirect
70. #2654C22semidirect
74. #2597C22semidirect
75. #2596C22semidirect
77. #2589C22semidirect
78. #2588C22semidirect
79. #2585C22semidirect
80. #2582C22semidirect
81. #2578C22semidirect
82. #2578C22semidirect
83. #2576C22semidirect
84. #2576C22semidirect
85. #2573C22semidirect
86. #2573C22semidirect
87. #2571C22semidirect
88. #2571C22semidirect
89. #2570C22semidirect
90. #2570C22semidirect
91. #2570C22semidirect
92. #2568C22semidirect
93. #2568C22semidirect
96. #2560C22semidirect
100. #2546C22semidirect
104. #2536C22semidirect
105. #2532C22semidirect
106. #2532C22semidirect
107. #2532C22semidirect
109. #2529C22semidirect
110. #2528C22semidirect
111. #2528C22semidirect
112. #2527C22semidirect
113. #2527C22semidirect
114. #2527C22semidirect
115. #2527C22semidirect
117. #2525C22semidirect
118. #2525C22semidirect
119. #2524C22semidirect
122. #2520C22semidirect
124. #2515C22semidirect
125. #2514C22semidirect
126. #2514C22semidirect
127. #2514C22semidirect
130. #2511C22semidirect
131. #2511C22semidirect
132. #2510C22semidirect
133. #2508C22semidirect
134. #2507C22semidirect
135. #2507C22semidirect
136. #2505C22semidirect
137. #2502C22semidirect
141. #2499C22semidirect
142. #2499C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
148. #2496C22semidirect
149. #2496C22semidirect
150. #2496C22semidirect
152. #2495C22semidirect
153. #2495C22semidirect
156. #2494C22semidirect
157. #2493C22semidirect
158. #2493C22semidirect
159. #2493C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
164. #2487C22semidirect
166. #2485C22semidirect
167. #2485C22semidirect
172. #2478C22semidirect
173. #2468C22semidirect
181. #2446C22semidirect
182. #2440C22semidirect
183. #2439C22semidirect
184. #2439C22semidirect
185. #2439C22semidirect
186. #2439C22semidirect
192. #2415C22semidirect
193. #2402C22semidirect
195. #2401C22semidirect
198. #2373C22semidirect
199. #2373C22semidirect
201. #2369C22semidirect
202. #2368C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
208. #2365C22semidirect
209. #2365C22semidirect
212. #2362C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
223. #2356C22semidirect
224. #2356C22semidirect
225. #2356C22semidirect
226. #2356C22semidirect
227. #2355C22semidirect
228. #2355C22semidirect
229. #2355C22semidirect
230. #2355C22semidirect
238. #2353C22semidirect
240. #2352C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. Q8×C4⋊C4C22semidirect
245. #2347C22semidirect
246. #2347C22semidirect
248. #2346C22semidirect
249. #2346C22semidirect
254. #2334C22semidirect
255. #2334C22semidirect
256. #2331C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
264. C4×#126C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
276. #2298C22semidirect
278. #2296C22semidirect
279. #2296C22semidirect
280. #2295C22semidirect
281. #2295C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
287. #2283C22semidirect
291. #2276C22semidirect
295. C4×#117C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#600012
#599042
#594272
#593062
#592972
#592562
#592112
#592022
#452312
#449612
#437682
#437012
#400042
#399082
#397612
#397342
#381942
#380942
#365862
#365152
#364052
#363102
#362042
#361942
#361882
#361612
#359742
#357892
#348142
#347722
#343242
#343072
#341862
C4×#5462
#341212