Finite Group Databasebeta

← #7692244

Subgroups — #7692244

Order 512.

4915 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59555C214yesmaximal, complemented
2#59426C211yesmaximal, characteristic, complemented
3#59307C212yesmaximal, complemented
4#59296C212yesmaximal, complemented
5#59281C212yesmaximal, complemented
6#59257C211yesmaximal, characteristic, complemented
7#59212C211yesmaximal, characteristic, complemented
8#59201C212yesmaximal, complemented
9#45206C212yesmaximal, complemented
10#45188C212yesmaximal, complemented
11#43763C214yesmaximal, complemented
12#43696C214yesmaximal, complemented
13#40005C212yesmaximal, complemented
14#39933C212yesmaximal, complemented
15#39505C211yesmaximal, characteristic, complemented
16#39480C211yesmaximal, characteristic, complemented
17#38184C214yesmaximal, complemented
18#38034C212yesmaximal, complemented
19#36461C212yesmaximal, complemented
20#36461C212yesmaximal, complemented
21#36411C211yesmaximal, characteristic, complemented
22#36203C212yesmaximal, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36194C211yesmaximal, characteristic, complemented
25#36176C211yesmaximal, characteristic, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36037C212yesmaximal, complemented
28#35804C212yesmaximal, complemented
29#34814C212yesmaximal, complemented
30#34763C211yesmaximal, characteristic, complemented
31#34321C211yesmaximal, characteristic, complemented
32#34244C212yesmaximal, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#529C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2868C2211yescharacteristic, complemented
42#2861C2214yescomplemented
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic, complemented
45#2857C2212yescomplemented
46#2854C2212yes—
47#2854C2212yescomplemented
48#2847C2212yes—
49#2795C2214yescomplemented
50#2786C2214yes—
51#2778C2214yescomplemented
52#2765C2214yescomplemented
53#2762C2214yescomplemented
54#2761C2214yescomplemented
55#2760C2214yescomplemented
56#2759C2214yescomplemented
57#2751C2214yes—
58#2750C2214yes—
59#2750C2214yescomplemented
60#2741C2214yescomplemented
61#2736C2214yes—
62#2731C2214yescomplemented
63#2703C2214yes—
64#2697C2214yes—
65#2690C2214yes—
66#2690C2214yescomplemented
67#2684C2214yes—
68#2681C2214yes—
69#2678C2214yes—
70#2653C2214yes—
71#2650C2214yescomplemented
72#2625C2212yes—
73#2620C2212yes—
74#2596C2214yescomplemented
75#2595C2214yescomplemented
76#2592C2212yes—
77#2590C2214yescomplemented
78#2576C2214yescomplemented
79#2573C2214yescomplemented
80#2572C2214yescomplemented
81#2572C2214yescomplemented
82#2572C2214yescomplemented
83#2572C2214yescomplemented
84#2571C2211yescharacteristic, complemented
85#2571C2211yescharacteristic, complemented
86#2571C2212yescomplemented
87#2570C2212yescomplemented
88#2567C2211yescharacteristic, complemented
89#2563C2211yescharacteristic
90#2563C2212yes—
91#2563C2212yes—
92#2558C2214yes—
93#2558C2214yescomplemented
94#2558C2214yescomplemented
95#2557C2214yes—
96#2557C2214yescomplemented
97#2554C2214yes—
98#2554C2214yescomplemented
99#2538C2212yes—
100#2538C2212yes—
101#2538C2211yescharacteristic, complemented
102#2537C2211yescharacteristic
103#2535C2212yescomplemented
104#2534C2214yes—
105#2532C2214yescomplemented
106#2532C2214yescomplemented
107#2532C2214yescomplemented
108#2527C2214yescomplemented
109#2526C2214yescomplemented
110#2526C2214yescomplemented
111#2525C2214yescomplemented
112#2523C2214yes—
113#2521C2212yes—
114#2519C2212yescomplemented
115#2518C2214yes—
116#2516C2214yescomplemented
117#2515C2214yescomplemented
118#2515C2214yescomplemented
119#2514C2212yescomplemented
120#2514C2212yescomplemented
121#2514C2214yescomplemented
122#2513C2212yes—
123#2512C2212yes—
124#2512C2211yescharacteristic, complemented
125#2509C2212yescomplemented
126#2508C2212yescomplemented
127#2506C2212yescomplemented
128#2506C2212yescomplemented
129#2506C2211yescharacteristic, complemented
130#2504C2212yes—
131#2503C2212yescomplemented
132#2501C2211yescharacteristic, complemented
133#2500C2212yescomplemented
134#2497C2212yes—
135#2497C2212yescomplemented
136#2497C2212yescomplemented
137#2497C2214yescomplemented
138#2496C2211yescharacteristic
139#2496C2212yescomplemented
140#2495C2212yes—
141#2495C2212yes—
142#2495C2212yescomplemented
143#2495C2212yescomplemented
144#2494C2212yes—
145#2494C2212yescomplemented
146#2494C2212yescomplemented
147#2494C2212yescomplemented
148#2493C2214yescomplemented
149#2493C2214yescomplemented
150#2492C2212yes—
151#2492C2214yescomplemented
152#2492C2212yescomplemented
153#2492C2212yescomplemented
154#2491C2212yes—
155#2491C2211yescharacteristic
156#2491C2212yescomplemented
157#2488C2214yescomplemented
158#2488C2214yescomplemented
159#2488C2212yescomplemented
160#2486C2211yescharacteristic
161#2486C2212yescomplemented
162#2485C2212yes—
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2480C2214yes—
166#2480C2214yes—
167#2474C2214yescomplemented
168#2472C2214yes—
169#2472C2214yes—
170#2469C2214yescomplemented
171#2467C2214yes—
172#2461C2214yescomplemented
173#2459C2214yes—
174#2457C2214yescomplemented
175#2440C2211yescharacteristic, complemented
176#2439C2212yes—
177#2439C2212yescomplemented
178#2439C2212yescomplemented
179#2439C2212yescomplemented
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2425C2212yes—
183#2422C2212yes—
184#2420C2212yes—
185#2420C2212yes—
186#2416C2211yescharacteristic
187#2415C2212yes—
188#2414C2212yes—
189#2414C2212yes—
190#2414C2212yescomplemented
191#2408C2212yes—
192#2407C2212yes—
193#2401C2214yes—
194#2401C2214yescomplemented
195#2396C2212yescomplemented
196#2395C2212yes—
197#2374C2214yes—
198#2374C2214yescomplemented
199#2372C2214yes—
200#2371C2214yescomplemented
201#2369C2211yescharacteristic, complemented
202#2369C2212yescomplemented
203#2369C2212yescomplemented
204#2367C2211yescharacteristic
205#2367C2214yescomplemented
206#2364C2212yes—
207#2363C2212yes—
208#2363C2211yescharacteristic
209#2363C2212yescomplemented
210#2363C2212yescomplemented
211#2362C2212yescomplemented
212#2361C2212yes—
213#2360C2211yescharacteristic
214#2359C2212yes—
215#2358C2212yes—
216#2357C2212yes—
217#2357C2212yes—
218#2357C2212yes—
219#2357C2214yes—
220#2357C2212yescomplemented
221#2356C2212yescomplemented
222#2355C2211yescharacteristic, complemented
223#2355C2212yescomplemented
224#2355C2211yescharacteristic, complemented
225#2355C2212yescomplemented
226#2355C2212yescomplemented
227#2354C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2354C2212yes—
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2354C2212yes—
235#2354C2212yescomplemented
236#2353C2214yescomplemented
237#2353C2214yescomplemented
238#2352C2212yes—
239#2352C2211yescharacteristic
240#2352C2212yes—
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244#2352C2212yescomplemented
245#2349C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic, complemented
247#2347C2212yescomplemented
248#2347C2212yescomplemented
249#2347C2212yescomplemented
250#2346C2212yescomplemented
251#2342C2212yes—
252#2339C2211yescharacteristic
253D4×C22⋊C4C2211yescharacteristic
254#2337C2214yescomplemented
255#2333C2214yes—
256#2332C2214yescomplemented
257#2324C2212yes—
258#2314C2212yes—
259#2314C2212yescomplemented
260#2312C2214yes—
261#2309C2212yes—
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×#126C2214yes—
265C4×#126C2214yescomplemented
266C4×#126C2214yescomplemented
267C4×#124C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×#123C2212yes—
270C4×#123C2212yescomplemented
271C4×#121C2211yescharacteristic
272C4×#121C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2212yescomplemented
275C4×#121C2211yescharacteristic, complemented
276C4×#120C2212yes—
277#2298C2214yescomplemented
278#2297C2212yes—
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2293C2211yescharacteristic, complemented
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic, complemented
285#2285C2212yescomplemented
286#2283C2212yescomplemented
287#2283C2212yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2274C2212yes—
292#2274C2212yescomplemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2212yescomplemented
296C4×#117C2212yescomplemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—28no—
303#546—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309#529—216no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#124C2311yescharacteristic
316C2×#124C2314yes—
317C2×#124C2312yes—
318C2×#124C2314yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#120C2312yes—
341C2×#120C2314yes—
342C4×#41—28no—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×D4—28no—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393#401C2314yes—
394#401C2314yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#399C2312yes—
412#399C2312yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2312yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2314yes—
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
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#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#386C2312yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#385C2314yes—
645#385C2312yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#384C2311yescharacteristic
656#384C2311yescharacteristic
657#384C2312yes—
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#383C2314yes—
671#382C2312yes—
672#382C2314yes—
673#382C2312yes—
674#382C2312yes—
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2312yes—
683#382C2312yes—
684#381C2312yes—
685#381C2312yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2314yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#379C2314yes—
724#379C2314yes—
725#379C2312yes—
726#379C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
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⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
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×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C23×C4—28no—
838C23×C4—44no—
839C23×C4—44no—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C4⋊Q8—24no—
860C4⋊Q8—42no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—82no—
864#126—28no—
865#126—28no—
866#126—48no—
867#125—28no—
868#125—84no—
869#124—28no—
870#124—216no—
871#124—24no—
872#124—84no—
873#123—28no—
874#123—28no—
875#123—28no—
876#123—44no—
877#123—84no—
878#123—84no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—44no—
882C22⋊Q8—82no—
883C22⋊Q8—84no—
884C22⋊Q8—82no—
885#121—28no—
886#121—28no—
887#121—24no—
888#121—28no—
889#121—28no—
890#121—42no—
891#121—42no—
892#121—44no—
893#121—44no—
894#120—28no—
895#120—84no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—28no—
899C4×Q8—44no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—48no—
918C4×D4#4118yes—
919C4×D4#4118yes—
920#117—28no—
921#117—28no—
922#117—24no—
923#117—28no—
924#117—28no—
925#117—28no—
926#117—44no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4—28no—
998C2×C22⋊C4—28no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C42—28no—
1063C2×C42—28no—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—24no—
1174C24—24no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—416no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—416no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4C2×#4114yes—
1231C2×D4C2×#4114yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—816no—
1287C22×C4C2×#4114yes—
1288C22×C4C2×#4118yes—
1289C22×C4C2×#4114yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4C2×#4114yes—
1379C4⋊C4C2×#4114yes—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—41no—
1418C22⋊C4—42no—
1419C22⋊C4—41no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4C2×#4114yes—
1440C22⋊C4C2×#4118yes—
1441C22⋊C4C2×#4114yes—
1442C42—22no—
1443C42—24no—
1444C42—22no—
1445C42—24no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—28no—
1456C42—24no—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—42no—
1463C42—42no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—41no—
1476C42C2×#4114yes—
1477C42C2×#4114yes—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—48no—
1511C23—48no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23C22×#4112yes—
1518C23C22×#4114yes—
1519C23C22×#4112yes—
1520C23C2611yescharacteristic
1521Q8—44no—
1522Q8—84no—
1523Q8—84no—
1524Q8—164no—
1525D4—28no—
1526D4—44no—
1527D4—48no—
1528D4—48no—
1529D4—44no—
1530D4—44no—
1531D4—84no—
1532D4—84no—
1533D4—88no—
1534D4—84no—
1535D4—164no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—216no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—82no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—164no—
1632C2×C4C22×#4114yes—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C22—22no—
1646C22—24no—
1647C22—22no—
1648C22—24no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—24no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—816no—
1681C22C23×#4111yescharacteristic
1682C22C23×#4111yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22H(7,𝔽2)11yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—24no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—42no—
1700C4—42no—
1701C4—44no—
1702C4—42no—
1703C4—42no—
1704C4—44no—
1705C4—41no—
1706C4—42no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—44no—
1714C4—44no—
1715C4—41no—
1716C4#347514yes—
1717C4#352114yes—
1718C2—42no—
1719C2—44no—
1720C2—42no—
1721C2—82no—
1722C2—82no—
1723C2C2×#347511yescharacteristic
1724C2C2×#352111yescharacteristic
1725C2#6281511yescharacteristic
1726C2#6296611yescharacteristic
1727C2#6299411yescharacteristic
1728C2#6299411yescharacteristic
1729C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59555C2semidirect
2. #59426C2semidirect
3. #59307C2semidirect
4. #59296C2semidirect
5. #59281C2semidirect
6. #59257C2semidirect
7. #59212C2semidirect
8. #59201C2semidirect
9. #45206C2semidirect
10. #45188C2semidirect
11. #43763C2semidirect
12. #43696C2semidirect
13. #40005C2semidirect
14. #39933C2semidirect
15. #39505C2semidirect
16. #39480C2semidirect
17. #38184C2semidirect
18. #38034C2semidirect
19. #36461C2semidirect
20. #36461C2semidirect
21. #36411C2semidirect
22. #36203C2semidirect
23. #36194C2semidirect
24. #36194C2semidirect
25. #36176C2semidirect
26. #36160C2semidirect
27. #36037C2semidirect
28. #35804C2semidirect
29. #34814C2semidirect
30. #34763C2semidirect
31. #34321C2semidirect
32. #34244C2semidirect
33. #34186C2semidirect
34. C4×#546C2semidirect
35. #34121C2semidirect
41. #2868C22semidirect
42. #2861C22semidirect
44. #2857C22semidirect
45. #2857C22semidirect
47. #2854C22semidirect
49. #2795C22semidirect
51. #2778C22semidirect
52. #2765C22semidirect
53. #2762C22semidirect
54. #2761C22semidirect
55. #2760C22semidirect
56. #2759C22semidirect
59. #2750C22semidirect
60. #2741C22semidirect
62. #2731C22semidirect
66. #2690C22semidirect
71. #2650C22semidirect
74. #2596C22semidirect
75. #2595C22semidirect
77. #2590C22semidirect
78. #2576C22semidirect
79. #2573C22semidirect
80. #2572C22semidirect
81. #2572C22semidirect
82. #2572C22semidirect
83. #2572C22semidirect
84. #2571C22semidirect
85. #2571C22semidirect
86. #2571C22semidirect
87. #2570C22semidirect
88. #2567C22semidirect
93. #2558C22semidirect
94. #2558C22semidirect
96. #2557C22semidirect
98. #2554C22semidirect
101. #2538C22semidirect
103. #2535C22semidirect
105. #2532C22semidirect
106. #2532C22semidirect
107. #2532C22semidirect
108. #2527C22semidirect
109. #2526C22semidirect
110. #2526C22semidirect
111. #2525C22semidirect
114. #2519C22semidirect
116. #2516C22semidirect
117. #2515C22semidirect
118. #2515C22semidirect
119. #2514C22semidirect
120. #2514C22semidirect
121. #2514C22semidirect
124. #2512C22semidirect
125. #2509C22semidirect
126. #2508C22semidirect
127. #2506C22semidirect
128. #2506C22semidirect
129. #2506C22semidirect
131. #2503C22semidirect
132. #2501C22semidirect
133. #2500C22semidirect
135. #2497C22semidirect
136. #2497C22semidirect
137. #2497C22semidirect
139. #2496C22semidirect
142. #2495C22semidirect
143. #2495C22semidirect
145. #2494C22semidirect
146. #2494C22semidirect
147. #2494C22semidirect
148. #2493C22semidirect
149. #2493C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
156. #2491C22semidirect
157. #2488C22semidirect
158. #2488C22semidirect
159. #2488C22semidirect
161. #2486C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
167. #2474C22semidirect
170. #2469C22semidirect
172. #2461C22semidirect
174. #2457C22semidirect
175. #2440C22semidirect
177. #2439C22semidirect
178. #2439C22semidirect
179. #2439C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
190. #2414C22semidirect
194. #2401C22semidirect
195. #2396C22semidirect
198. #2374C22semidirect
200. #2371C22semidirect
201. #2369C22semidirect
202. #2369C22semidirect
203. #2369C22semidirect
205. #2367C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2362C22semidirect
220. #2357C22semidirect
221. #2356C22semidirect
222. #2355C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
235. #2354C22semidirect
236. #2353C22semidirect
237. #2353C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. #2352C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2347C22semidirect
248. #2347C22semidirect
249. #2347C22semidirect
250. #2346C22semidirect
254. #2337C22semidirect
256. #2332C22semidirect
259. #2314C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
265. C4×#126C22semidirect
266. C4×#126C22semidirect
270. C4×#123C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
277. #2298C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
281. #2293C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. #2283C22semidirect
287. #2283C22semidirect
292. #2274C22semidirect
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
#595552
#594262
#593072
#592962
#592812
#592572
#592122
#592012
#452062
#451882
#437632
#436962
#400052
#399332
#395052
#394802
#381842
#380342
#364612
#364112
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