Finite Group Databasebeta

← #7693123

Subgroups — #7693123

Order 512.

4726 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59666C211yesmaximal, characteristic, complemented
2#59506C212yesmaximal, complemented
3#59390C212yesmaximal, complemented
4#59354C214yesmaximal, complemented
5#59237C212yesmaximal, complemented
6#59216C212yesmaximal, complemented
7#59040C211yesmaximal, characteristic, complemented
8#59034C211yesmaximal, characteristic, complemented
9#45401C212yesmaximal, complemented
10#45022C212yesmaximal, complemented
11#44543C214yesmaximal, complemented
12#44505C214yesmaximal, complemented
13#39895C214yesmaximal, complemented
14#39010C212yesmaximal, complemented
15#39006C212yesmaximal, complemented
16#38932C211yesmaximal, characteristic, complemented
17#38930C211yesmaximal, characteristic, complemented
18#38927C212yesmaximal, complemented
19#36537C212yesmaximal, complemented
20#36476C211yesmaximal, characteristic, complemented
21#36436C212yesmaximal, complemented
22#36315C211yesmaximal, characteristic, complemented
23#36178C212yesmaximal, complemented
24#36176C211yesmaximal, characteristic, complemented
25#36175C211yesmaximal, characteristic, complemented
26#36151C211yesmaximal, characteristic, complemented
27#36050C212yesmaximal, complemented
28#35855C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30#34780C212yesmaximal, complemented
31#34235C211yesmaximal, characteristic, complemented
32#34231C211yesmaximal, characteristic, complemented
33#34197C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×C4×#41C2212yes—
41#2862C2211yescharacteristic
42#2861C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2854C2212yes—
47#2853C2214yes—
48#2851C2212yes—
49#2802C2214yes—
50#2770C2214yes—
51#2769C2214yes—
52#2768C2214yes—
53#2767C2214yes—
54#2764C2214yes—
55#2757C2214yes—
56#2753C2214yes—
57#2752C2214yes—
58#2751C2214yes—
59#2743C2214yes—
60#2739C2214yes—
61#2738C2214yes—
62#2738C2214yes—
63#2737C2214yes—
64#2737C2214yes—
65#2706C2214yes—
66#2701C2214yes—
67#2696C2214yes—
68#2694C2214yes—
69#2687C2214yes—
70#2651C2214yes—
71#2650C2214yes—
72#2647C2212yes—
73#2647C2212yes—
74#2607C2214yes—
75#2606C2214yes—
76#2602C2214yes—
77#2602C2214yes—
78#2600C2214yes—
79#2597C2214yes—
80#2596C2214yes—
81#2595C2214yes—
82#2593C2214yes—
83#2589C2214yes—
84#2582C2212yes—
85#2581C2212yes—
86#2580C2212yes—
87#2575C2214yes—
88#2575C2214yes—
89#2574C2214yes—
90#2572C2214yes—
91#2572C2212yes—
92#2572C2212yes—
93#2571C2211yescharacteristic
94#2571C2211yescharacteristic
95#2570C2212yes—
96#2565C2212yes—
97#2563C2211yescharacteristic
98#2563C2211yescharacteristic
99#2563C2211yescharacteristic
100#2563C2211yescharacteristic
101#2562C2212yes—
102#2552C2211yescharacteristic
103#2550C2212yes—
104#2547C2211yescharacteristic
105#2542C2211yescharacteristic
106#2540C2212yes—
107#2538C2212yes—
108#2537C2211yescharacteristic
109#2536C2212yes—
110#2536C2212yes—
111#2536C2212yes—
112#2533C2214yes—
113#2532C2214yes—
114#2532C2214yes—
115#2532C2214yes—
116#2531C2214yes—
117#2531C2214yes—
118#2529C2214yes—
119#2529C2214yes—
120#2528C2214yes—
121#2527C2214yes—
122#2526C2214yes—
123#2525C2214yes—
124#2525C2214yes—
125#2524C2214yes—
126#2524C2214yes—
127#2524C2214yes—
128#2523C2214yes—
129#2520C2214yes—
130#2518C2214yes—
131#2515C2214yes—
132#2515C2214yes—
133#2514C2212yes—
134#2513C2212yes—
135#2510C2214yes—
136#2508C2212yes—
137#2508C2212yes—
138#2507C2212yes—
139#2505C2214yes—
140#2503C2212yes—
141#2497C2212yes—
142#2497C2212yes—
143#2495C2212yes—
144#2495C2212yes—
145#2495C2212yes—
146#2495C2212yes—
147#2495C2211yescharacteristic
148#2495C2212yes—
149#2495C2211yescharacteristic
150#2494C2212yes—
151#2493C2214yes—
152#2492C2212yes—
153#2490C2212yes—
154#2489C2212yes—
155#2489C2212yes—
156#2489C2212yes—
157#2488C2214yes—
158#2486C2212yes—
159#2486C2212yes—
160#2485C2212yes—
161#2478C2214yes—
162#2476C2214yes—
163#2471C2214yes—
164#2468C2214yes—
165#2464C2214yes—
166#2458C2214yes—
167#2453C2212yes—
168#2453C2212yes—
169#2447C2212yes—
170#2442C2212yes—
171#2442C2212yes—
172#2426C2212yes—
173#2426C2212yes—
174#2423C2212yes—
175#2423C2212yes—
176#2422C2212yes—
177#2421C2212yes—
178#2421C2212yes—
179#2421C2212yes—
180#2421C2212yes—
181#2420C2212yes—
182#2420C2211yescharacteristic
183#2420C2211yescharacteristic
184#2420C2212yes—
185#2419C2214yes—
186#2417C2212yes—
187#2417C2212yes—
188#2415C2212yes—
189#2415C2212yes—
190#2414C2212yes—
191#2407C2212yes—
192#2407C2212yes—
193#2402C2214yes—
194#2401C2214yes—
195#2398C2212yes—
196#2398C2212yes—
197#2374C2214yes—
198#2374C2212yes—
199#2373C2212yes—
200#2370C2211yescharacteristic
201#2370C2212yes—
202#2369C2211yescharacteristic
203#2369C2211yescharacteristic
204#2367C2212yes—
205#2365C2211yescharacteristic
206#2365C2211yescharacteristic
207#2365C2211yescharacteristic
208#2365C2211yescharacteristic
209#2365C2211yescharacteristic
210#2364C2212yes—
211#2363C2211yescharacteristic
212#2362C2212yes—
213#2362C2212yes—
214#2362C2212yes—
215#2362C2212yes—
216#2362C2212yes—
217#2361C2212yes—
218#2361C2211yescharacteristic
219#2360C2212yes—
220#2360C2212yes—
221#2360C2212yes—
222#2359C2214yes—
223#2357C2212yes—
224#2357C2211yescharacteristic
225#2357C2214yes—
226#2357C2214yes—
227#2356C2212yes—
228#2356C2212yes—
229#2356C2214yes—
230#2355C2212yes—
231#2354C2211yescharacteristic
232#2354C2212yes—
233#2353C2212yes—
234#2352C2212yes—
235#2352C2211yescharacteristic
236#2352C2212yes—
237#2351C2212yes—
238#2351C2212yes—
239#2351C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241#2347C2212yes—
242#2347C2211yescharacteristic
243#2346C2212yes—
244#2346C2212yes—
245#2346C2212yes—
246#2346C2214yes—
247#2346C2214yes—
248#2345C2211yescharacteristic
249#2344C2212yes—
250#2343C2214yes—
251#2341C2212yes—
252#2341C2212yes—
253#2339C2212yes—
254#2336C2214yes—
255#2332C2214yes—
256#2320C2212yes—
257#2320C2212yes—
258#2319C2212yes—
259#2319C2212yes—
260#2319C2214yes—
261#2319C2214yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×#123C2212yes—
273C4×#123C2214yes—
274C4×#123C2214yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282#2295C2212yes—
283#2283C2212yes—
284#2283C2211yescharacteristic
285#2283C2211yescharacteristic
286#2283C2212yes—
287#2283C2212yes—
288#2283C2214yes—
289#2283C2214yes—
290#2276C2212yes—
291#2276C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#553—28no—
301#547—28no—
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2312yes—
309C2×#125C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#124C2312yes—
314C2×#123C2312yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C4×#41—216no—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C42C2312yes—
375C22×C42C2314yes—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379C22×C42C2312yes—
380#401C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2312yes—
441#394C2312yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#393C2312yes—
450#393C2312yes—
451#393C2312yes—
452#393C2312yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#392C2314yes—
457#392C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2312yes—
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2312yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
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#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2314yes—
587#387C2312yes—
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#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2312yes—
623#386C2314yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#384C2311yescharacteristic
648#384C2311yescharacteristic
649#384C2312yes—
650#384C2312yes—
651#383C2312yes—
652#383C2314yes—
653#383C2312yes—
654#383C2312yes—
655#383C2314yes—
656#383C2312yes—
657#383C2312yes—
658#383C2314yes—
659#383C2314yes—
660#383C2314yes—
661#383C2314yes—
662#382C2311yescharacteristic
663#382C2311yescharacteristic
664#382C2311yescharacteristic
665#382C2312yes—
666#382C2312yes—
667#382C2312yes—
668#382C2311yescharacteristic
669#382C2312yes—
670#382C2312yes—
671#382C2312yes—
672#382C2311yescharacteristic
673#382C2312yes—
674#382C2314yes—
675#382C2314yes—
676#382C2314yes—
677#382C2314yes—
678#382C2312yes—
679#382C2314yes—
680#382C2314yes—
681#381C2312yes—
682#381C2314yes—
683#381C2312yes—
684#381C2312yes—
685#381C2312yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2312yes—
692#381C2314yes—
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—44no—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—42no—
849C4⋊Q8#4118yes—
850#126—28no—
851#125—28no—
852#125—28no—
853#125—24no—
854#125—44no—
855#124—44no—
856#123—28no—
857#123—216no—
858#123—48no—
859#123—48no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869#121—24no—
870#121—24no—
871#121—28no—
872#121—28no—
873#121—44no—
874#121—42no—
875#121—42no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×D4—28no—
888C4×D4—216no—
889C4×D4—28no—
890C4×D4—216no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—42no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4#4118yes—
905#117—28no—
906#117—28no—
907#117—28no—
908#117—24no—
909#117—216no—
910#117—42no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C42—216no—
1029C2×C42—28no—
1030C2×C42—24no—
1031C2×C42—24no—
1032C2×C42—44no—
1033C2×C42—44no—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156C24C2511yescharacteristic
1157C24C2512yes—
1158C24C2512yes—
1159C24C2511yescharacteristic
1160#41—432no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8C2×#4118yes—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—28no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4C2×#4114yes—
1197C22×C4—28no—
1198C22×C4—22no—
1199C22×C4—28no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—28no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—41no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4C2×#4118yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4C2×#4114yes—
1337C4⋊C4C2×#4118yes—
1338C4⋊C4C2×#4118yes—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—22no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—41no—
1370C22⋊C4—42no—
1371C22⋊C4—41no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—41no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4C2×#4118yes—
1389C42—24no—
1390C42—28no—
1391C42—24no—
1392C42—28no—
1393C42—28no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—28no—
1403C42—28no—
1404C42—22no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—42no—
1417C42—44no—
1418C42—41no—
1419C42—44no—
1420C42—42no—
1421C42—41no—
1422C42—42no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42C2×#4114yes—
1428C42C2×#4114yes—
1429C23—21no—
1430C23—21no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—21no—
1435C23—22no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23—22no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23—22no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23C22×#4114yes—
1456C23#58512yes—
1457C23C2611yescharacteristic
1458Q8—216no—
1459Q8—48no—
1460Q8—84no—
1461Q8—84no—
1462D4—28no—
1463D4—44no—
1464D4—416no—
1465D4—48no—
1466D4—44no—
1467D4—84no—
1468D4—84no—
1469D4—84no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—48no—
1553C2×C4—44no—
1554C2×C4—416no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—48no—
1558C2×C4—44no—
1559C2×C4—48no—
1560C2×C4—44no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—82no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—88no—
1567C2×C4—84no—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4118yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4112yes—
1576C2×C4#58512yes—
1577C2×C4#58512yes—
1578C2×C4#58512yes—
1579C22—24no—
1580C22—22no—
1581C22—22no—
1582C22—24no—
1583C22—22no—
1584C22—24no—
1585C22—41no—
1586C22—42no—
1587C22—42no—
1588C22—41no—
1589C22—42no—
1590C22—42no—
1591C22—41no—
1592C22—41no—
1593C22—42no—
1594C22—41no—
1595C22—41no—
1596C22—42no—
1597C22—42no—
1598C22—41no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—41no—
1603C22—41no—
1604C22—42no—
1605C22—42no—
1606C22—41no—
1607C22C23×#4111yescharacteristic
1608C22C23×#4111yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C222−1+611yescharacteristic
1614C4—22no—
1615C4—24no—
1616C4—22no—
1617C4—22no—
1618C4—28no—
1619C4—42no—
1620C4—42no—
1621C4—41no—
1622C4—41no—
1623C4—44no—
1624C4—42no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—41no—
1630C4—41no—
1631C4—42no—
1632C4—44no—
1633C4—44no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4#347514yes—
1644C4#352414yes—
1645C2—44no—
1646C2—42no—
1647C2—82no—
1648C2—81no—
1649C2C2×#347511yescharacteristic
1650C2C2×#352411yescharacteristic
1651C2#6281611yescharacteristic
1652C2#6293911yescharacteristic
1653C2#6299111yescharacteristic
1654C2#6300511yescharacteristic
1655C2#6302811yescharacteristic
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. #59666C2semidirect
2. #59506C2semidirect
3. #59390C2semidirect
4. #59354C2semidirect
5. #59237C2semidirect
6. #59216C2semidirect
7. #59040C2semidirect
8. #59034C2semidirect
9. #45401C2semidirect
10. #45022C2semidirect
11. #44543C2semidirect
12. #44505C2semidirect
13. #39895C2semidirect
14. #39010C2semidirect
15. #39006C2semidirect
16. #38932C2semidirect
17. #38930C2semidirect
18. #38927C2semidirect
19. #36537C2semidirect
20. #36476C2semidirect
21. #36436C2semidirect
22. #36315C2semidirect
23. #36178C2semidirect
24. #36176C2semidirect
25. #36175C2semidirect
26. #36151C2semidirect
27. #36050C2semidirect
28. #35855C2semidirect
29. #34943C2semidirect
30. #34780C2semidirect
31. #34235C2semidirect
32. #34231C2semidirect
33. #34197C2semidirect
34. C4×#553C2semidirect
35. C4×#547C2semidirect

Maximal subgroups

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

subgroupindex
#596662
#595062
#593902
#593542
#592372
#592162
#590402
#590342
#454012
#450222
#445432
#445052
#398952
#390102
#390062
#389322
#389302
#389272
#365372
#364762
#364362
#363152
#361782
#361762
#361752
#361512
#360502
#358552
#349432
#347802
#342352
#342312
#341972
C4×#5532
C4×#5472