Finite Group Databasebeta

← #7684506

Subgroups — #7684506

Order 512.

5078 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59990C214yesmaximal, complemented
2#59566C212yesmaximal, complemented
3#59506C212yesmaximal, complemented
4#59443C211yesmaximal, characteristic, complemented
5#59275C212yesmaximal, complemented
6#59258C211yesmaximal, characteristic, complemented
7#59257C211yesmaximal, characteristic, complemented
8#59111C212yesmaximal, complemented
9#44988C212yesmaximal, complemented
10#44972C212yesmaximal, complemented
11#43659C214yesmaximal, complemented
12#43067C214yesmaximal, complemented
13#39529C212yesmaximal, complemented
14#39497C211yesmaximal, characteristic, complemented
15#39008C212yesmaximal, complemented
16#38908C211yesmaximal, characteristic, complemented
17#38725C214yesmaximal, complemented
18#37982C212yesmaximal, complemented
19#36552C211yesmaximal, characteristic, complemented
20#36489C212yesmaximal, complemented
21#36404C211yesmaximal, characteristic, complemented
22#36387C212yesmaximal, complemented
23#36314C211yesmaximal, characteristic, complemented
24#36228C212yesmaximal, complemented
25#36194C211yesmaximal, characteristic, complemented
26#36134C211yesmaximal, characteristic, complemented
27#35763C212yesmaximal, complemented
28#35726C212yesmaximal, complemented
29#34724C211yesmaximal, characteristic, complemented
30#34720C212yesmaximal, complemented
31#34308C211yesmaximal, characteristic, complemented
32#34252C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4⋊C4×#41C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#552C2212yes—
38C2×#547C2211yescharacteristic
39C2×#533C2212yes—
40C2×#529C2211yescharacteristic
41C2×#520C2212yes—
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2212yes—
44#2868C2211yescharacteristic
45#2864C2212yes—
46#2857C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2852C2214yes—
51#2851C2212yes—
52#2790C2214yes—
53#2776C2214yes—
54#2770C2214yes—
55#2767C2214yes—
56#2757C2214yes—
57#2757C2214yes—
58#2750C2214yes—
59#2746C2214yes—
60#2746C2214yes—
61#2744C2214yes—
62#2743C2214yes—
63#2739C2214yes—
64#2738C2214yes—
65#2729C2214yes—
66#2728C2214yes—
67#2725C2214yes—
68#2719C2214yes—
69#2696C2214yes—
70#2695C2214yes—
71#2695C2214yes—
72#2693C2214yes—
73#2652C2214yes—
74#2630C2214yes—
75#2629C2212yes—
76#2625C2212yes—
77#2606C2214yes—
78#2603C2214yes—
79#2598C2214yes—
80#2594C2214yes—
81#2590C2214yes—
82#2590C2214yes—
83#2589C2214yes—
84#2588C2214yes—
85#2587C2214yes—
86#2585C2214yes—
87#2579C2214yes—
88#2577C2214yes—
89#2575C2214yes—
90#2573C2214yes—
91#2571C2211yescharacteristic
92#2571C2212yes—
93#2570C2212yes—
94#2568C2211yescharacteristic
95#2568C2211yescharacteristic
96#2566C2212yes—
97#2565C2212yes—
98#2564C2214yes—
99#2563C2212yes—
100#2552C2212yes—
101#2552C2211yescharacteristic
102#2550C2212yes—
103#2542C2212yes—
104#2538C2211yescharacteristic
105#2538C2211yescharacteristic
106#2538C2212yes—
107#2535C2212yes—
108#2533C2214yes—
109#2533C2214yes—
110#2533C2214yes—
111#2530C2214yes—
112#2524C2214yes—
113#2523C2214yes—
114#2516C2214yes—
115#2514C2212yes—
116#2514C2212yes—
117#2511C2212yes—
118#2511C2212yes—
119#2511C2212yes—
120#2509C2212yes—
121#2508C2212yes—
122#2507C2212yes—
123#2506C2212yes—
124#2505C2214yes—
125#2503C2212yes—
126#2502C2212yes—
127#2499C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2496C2212yes—
131#2495C2212yes—
132#2495C2212yes—
133#2495C2212yes—
134#2493C2214yes—
135#2492C2212yes—
136#2492C2212yes—
137#2488C2214yes—
138#2488C2214yes—
139#2485C2212yes—
140#2478C2212yes—
141#2478C2214yes—
142#2477C2214yes—
143#2476C2214yes—
144#2475C2214yes—
145#2475C2214yes—
146#2475C2214yes—
147#2471C2214yes—
148#2470C2214yes—
149#2470C2212yes—
150#2469C2214yes—
151#2466C2212yes—
152#2466C2214yes—
153#2463C2214yes—
154#2460C2214yes—
155#2460C2214yes—
156#2457C2214yes—
157#2456C2214yes—
158#2455C2212yes—
159#2453C2214yes—
160#2453C2212yes—
161#2453C2211yescharacteristic
162#2452C2212yes—
163#2447C2211yescharacteristic
164#2446C2212yes—
165#2442C2212yes—
166#2442C2212yes—
167#2441C2211yescharacteristic
168#2441C2214yes—
169#2440C2212yes—
170#2439C2212yes—
171#2439C2212yes—
172#2439C2212yes—
173#2438C2214yes—
174#2432C2211yescharacteristic
175#2429C2214yes—
176#2429C2211yescharacteristic
177#2427C2212yes—
178#2423C2212yes—
179#2423C2212yes—
180#2422C2211yescharacteristic
181#2422C2212yes—
182#2421C2212yes—
183#2421C2212yes—
184#2420C2212yes—
185#2420C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2415C2212yes—
189#2415C2212yes—
190#2415C2211yescharacteristic
191#2413C2214yes—
192#2407C2212yes—
193#2407C2212yes—
194#2407C2211yescharacteristic
195#2407C2212yes—
196#2398C2214yes—
197#2395C2212yes—
198#2392C2214yes—
199#2392C2212yes—
200#2374C2212yes—
201#2373C2214yes—
202#2373C2212yes—
203#2370C2211yescharacteristic
204#2369C2212yes—
205#2368C2214yes—
206#2365C2211yescharacteristic
207#2365C2212yes—
208#2364C2212yes—
209#2363C2212yes—
210#2363C2211yescharacteristic
211#2362C2212yes—
212#2362C2212yes—
213#2361C2212yes—
214#2361C2211yescharacteristic
215#2360C2212yes—
216#2360C2212yes—
217#2360C2212yes—
218#2359C2214yes—
219#2357C2211yescharacteristic
220#2357C2212yes—
221#2356C2212yes—
222#2356C2212yes—
223#2356C2212yes—
224#2355C2211yescharacteristic
225#2355C2212yes—
226#2355C2212yes—
227#2354C2212yes—
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2354C2212yes—
231#2354C2212yes—
232#2353C2212yes—
233#2352C2212yes—
234#2352C2212yes—
235#2352C2211yescharacteristic
236#2352C2212yes—
237#2351C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2211yescharacteristic
241#2349C2214yes—
242#2349C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2212yes—
248#2347C2214yes—
249#2347C2211yescharacteristic
250#2346C2214yes—
251#2345C2214yes—
252#2345C2211yescharacteristic
253#2344C2212yes—
254#2344C2214yes—
255#2339C2212yes—
256#2335C2214yes—
257#2323C2212yes—
258#2322C2214yes—
259#2318C2214yes—
260#2318C2214yes—
261#2317C2212yes—
262#2314C2212yes—
263#2311C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2211yescharacteristic
268C4×#126C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2214yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280#2297C2212yes—
281#2296C2212yes—
282#2296C2214yes—
283#2296C2212yes—
284#2295C2212yes—
285#2293C2211yescharacteristic
286C2×#389C2212yes—
287#2290C2214yes—
288#2290C2214yes—
289#2285C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2274C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#553—28no—
302#552—48no—
303#547—28no—
304#533—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2311yescharacteristic
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341#520—216no—
342C4×#41—28no—
343C4×#41—48no—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2314yes—
383C2×#117C2314yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C42C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2312yes—
399C22×C42C2314yes—
400C22×C42C2312yes—
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#395C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2314yes—
477#392C2312yes—
478#392C2314yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#390C2314yes—
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2314yes—
706#381C2314yes—
707#381C2312yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2314yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—24no—
823C2×#41—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859#126—28no—
860#126—28no—
861#126—48no—
862#125—24no—
863#125—24no—
864#125—44no—
865#125—48no—
866#125—48no—
867#124—24no—
868#123—28no—
869#123—28no—
870#123—216no—
871#123—44no—
872#123—48no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—28no—
876C22⋊Q8—24no—
877C22⋊Q8—24no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884#121—24no—
885#121—28no—
886#121—24no—
887#121—24no—
888#121—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—28no—
893C4×Q8—24no—
894C4×Q8—28no—
895C4×Q8—24no—
896C4×Q8—48no—
897C4×Q8—44no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—216no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—216no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4#4118yes—
919C4×D4#4118yescomplemented
920#117—28no—
921#117—24no—
922#117—24no—
923#117—28no—
924#117—216no—
925#117—28no—
926#117—48no—
927#117—48no—
928#117—42no—
929#117—44no—
930#117—44no—
931#117—48no—
932#117—44no—
933C2×C4⋊C4—216no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—28no—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42—44no—
1065C2×C42—48no—
1066C2×C42—44no—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2511yescharacteristic
1180C24C2512yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183#41—232no—
1184#41—432no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—28no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8H(5,𝔽2)14yes—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—41no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4C2×#4114yes—
1220C2×D4C2×#4114yes—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4C2×#4118yes—
1273C22×C4C2×#4118yes—
1274C22×C42−1+414yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—41no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4C2×#4114yes—
1378C4⋊C4C2×#4114yes—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—22no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—24no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4C2×#4118yes—
1426C22⋊C4C2×#4118yes—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—28no—
1437C42—24no—
1438C42—28no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—28no—
1444C42—28no—
1445C42—24no—
1446C42—22no—
1447C42—24no—
1448C42—22no—
1449C42—22no—
1450C42—42no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—41no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—42no—
1463C42C2×#4114yes—
1464C42C2×#4114yes—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23C22×#4114yes—
1491C23C22×#4114yes—
1492C23C2×2−1+412yes—
1493C23C2611yescharacteristic
1494Q8—28no—
1495Q8—48no—
1496Q8—44no—
1497Q8—88no—
1498D4—216no—
1499D4—28no—
1500D4—28no—
1501D4—44no—
1502D4—48no—
1503D4—416no—
1504D4—84no—
1505D4—84no—
1506C2×C4—216no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—216no—
1524C2×C4—28no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—48no—
1589C2×C4—416no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—44no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4—82no—
1597C2×C4—82no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—88no—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C2×H(5,𝔽2)14yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4#58512yes—
1616C2×C4#58512yes—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—22no—
1621C22—22no—
1622C22—24no—
1623C22—22no—
1624C22—24no—
1625C22—24no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22C23×#4111yescharacteristic
1646C22C23×#4111yescharacteristic
1647C22C22×H(5,𝔽2)11yescharacteristic
1648C22C22×2−1+411yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22C2×#58511yescharacteristic
1651C222−1+611yescharacteristic
1652C4—22no—
1653C4—24no—
1654C4—22no—
1655C4—22no—
1656C4—22no—
1657C4—24no—
1658C4—22no—
1659C4—24no—
1660C4—44no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—44no—
1670C4—44no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—41no—
1680C4—44no—
1681C4#347514yes—
1682C4#349214yes—
1683C2—44no—
1684C2—44no—
1685C2—42no—
1686C2—81no—
1687C2C2×#347511yescharacteristic
1688C2C2×#349211yescharacteristic
1689C2#6280511yescharacteristic
1690C2#6295611yescharacteristic
1691C2#6298411yescharacteristic
1692C2#6300911yescharacteristic
1693C2#6301911yescharacteristic
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. #59990C2semidirect
2. #59566C2semidirect
3. #59506C2semidirect
4. #59443C2semidirect
5. #59275C2semidirect
6. #59258C2semidirect
7. #59257C2semidirect
8. #59111C2semidirect
9. #44988C2semidirect
10. #44972C2semidirect
11. #43659C2semidirect
12. #43067C2semidirect
13. #39529C2semidirect
14. #39497C2semidirect
15. #39008C2semidirect
16. #38908C2semidirect
17. #38725C2semidirect
18. #37982C2semidirect
19. #36552C2semidirect
20. #36489C2semidirect
21. #36404C2semidirect
22. #36387C2semidirect
23. #36314C2semidirect
24. #36228C2semidirect
25. #36194C2semidirect
26. #36134C2semidirect
27. #35763C2semidirect
28. #35726C2semidirect
29. #34724C2semidirect
30. #34720C2semidirect
31. #34308C2semidirect
32. #34252C2semidirect
33. #34242C2semidirect
34. C4×#553C2semidirect
35. C4⋊C4×#41C2semidirect
919. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#599902
#595662
#595062
#594432
#592752
#592582
#592572
#591112
#449882
#449722
#436592
#430672
#395292
#394972
#390082
#389082
#387252
#379822
#365522
#364892
#364042
#363872
#363142
#362282
#361942
#361342
#357632
#357262
#347242
#347202
#343082
#342522
#342422
C4×#5532
C4⋊C4×#412