Finite Group Databasebeta

← #7690044

Subgroups — #7690044

Order 512.

4735 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59907C214yesmaximal, complemented
2#59896C212yesmaximal, complemented
3#59870C211yesmaximal, characteristic, complemented
4#59857C212yesmaximal, complemented
5#59279C212yesmaximal, complemented
6#59276C212yesmaximal, complemented
7#59218C211yesmaximal, characteristic, complemented
8#59211C211yesmaximal, characteristic, complemented
9#45401C212yesmaximal, complemented
10#45243C212yesmaximal, complemented
11#44564C214yesmaximal, complemented
12#44536C214yesmaximal, complemented
13#40009C212yesmaximal, complemented
14#39939C212yesmaximal, complemented
15#39379C211yesmaximal, characteristic, complemented
16#38933C211yesmaximal, characteristic, complemented
17#38306C214yesmaximal, complemented
18#38278C212yesmaximal, complemented
19#36506C212yesmaximal, complemented
20#36484C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36404C211yesmaximal, characteristic, complemented
23#36404C211yesmaximal, characteristic, complemented
24#36314C211yesmaximal, characteristic, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36199C212yesmaximal, complemented
27#36017C212yesmaximal, complemented
28#35855C212yesmaximal, complemented
29#34816C212yesmaximal, complemented
30#34800C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34286C212yesmaximal, complemented
33#34193C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#541C2212yes—
39C2×C4×#41C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2865C2214yes—
42#2864C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2855C2212yes—
48#2851C2212yes—
49#2805C2214yes—
50#2797C2214yes—
51#2783C2214yes—
52#2779C2214yes—
53#2779C2214yes—
54#2770C2214yes—
55#2766C2214yes—
56#2761C2214yes—
57#2753C2214yes—
58#2752C2214yes—
59#2745C2214yes—
60#2739C2214yes—
61#2738C2214yes—
62#2737C2214yes—
63#2737C2214yes—
64#2725C2214yes—
65#2725C2214yes—
66#2714C2214yes—
67#2711C2214yes—
68#2707C2214yes—
69#2705C2214yes—
70#2650C2214yes—
71#2648C2214yes—
72#2647C2212yes—
73#2629C2212yes—
74#2610C2214yes—
75#2601C2214yes—
76#2601C2214yes—
77#2597C2214yes—
78#2597C2214yes—
79#2596C2214yes—
80#2595C2214yes—
81#2595C2214yes—
82#2594C2214yes—
83#2593C2214yes—
84#2589C2214yes—
85#2588C2214yes—
86#2587C2214yes—
87#2581C2212yes—
88#2581C2212yes—
89#2580C2212yes—
90#2577C2214yes—
91#2575C2214yes—
92#2574C2214yes—
93#2571C2211yescharacteristic
94#2571C2212yes—
95#2570C2212yes—
96#2568C2211yescharacteristic
97#2568C2211yescharacteristic
98#2567C2212yes—
99#2566C2212yes—
100#2565C2212yes—
101#2562C2212yes—
102#2558C2214yes—
103#2554C2214yes—
104#2552C2211yescharacteristic
105#2538C2212yes—
106#2538C2211yescharacteristic
107#2538C2211yescharacteristic
108#2536C2212yes—
109#2533C2214yes—
110#2533C2214yes—
111#2532C2212yes—
112#2531C2214yes—
113#2530C2214yes—
114#2529C2214yes—
115#2528C2214yes—
116#2526C2212yes—
117#2525C2214yes—
118#2525C2214yes—
119#2524C2214yes—
120#2524C2214yes—
121#2521C2214yes—
122#2518C2212yes—
123#2518C2214yes—
124#2518C2214yes—
125#2516C2214yes—
126#2516C2214yes—
127#2515C2214yes—
128#2514C2212yes—
129#2514C2212yes—
130#2513C2211yescharacteristic
131#2513C2212yes—
132#2512C2212yes—
133#2512C2212yes—
134#2512C2212yes—
135#2511C2212yes—
136#2511C2212yes—
137#2511C2212yes—
138#2510C2214yes—
139#2510C2214yes—
140#2509C2214yes—
141#2509C2212yes—
142#2508C2211yescharacteristic
143#2506C2212yes—
144#2506C2212yes—
145#2500C2212yes—
146#2500C2211yescharacteristic
147#2499C2212yes—
148#2497C2212yes—
149#2497C2211yescharacteristic
150#2496C2212yes—
151#2495C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2494C2212yes—
155#2494C2212yes—
156#2494C2212yes—
157#2493C2214yes—
158#2491C2211yescharacteristic
159#2490C2212yes—
160#2489C2212yes—
161#2485C2212yes—
162#2485C2212yes—
163#2485C2212yes—
164#2485C2211yescharacteristic
165#2484C2214yes—
166#2481C2214yes—
167#2481C2214yes—
168#2473C2214yes—
169#2470C2214yes—
170#2470C2214yes—
171#2459C2212yes—
172#2457C2214yes—
173#2457C2214yes—
174#2441C2212yes—
175#2439C2211yescharacteristic
176#2439C2212yes—
177#2423C2212yes—
178#2423C2212yes—
179#2421C2212yes—
180#2421C2212yes—
181#2421C2212yes—
182#2421C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2415C2212yes—
186#2415C2212yes—
187#2415C2212yes—
188#2414C2211yescharacteristic
189#2407C2212yes—
190#2407C2212yes—
191#2407C2212yes—
192#2407C2212yes—
193#2401C2214yes—
194#2401C2214yes—
195#2398C2212yes—
196#2392C2212yes—
197#2374C2214yes—
198#2373C2214yes—
199#2373C2214yes—
200#2371C2214yes—
201#2370C2214yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2365C2211yescharacteristic
206#2365C2211yescharacteristic
207#2365C2212yes—
208#2363C2212yes—
209#2362C2212yes—
210#2362C2211yescharacteristic
211#2362C2212yes—
212#2362C2212yes—
213#2362C2211yescharacteristic
214#2362C2212yes—
215#2362C2212yes—
216#2361C2212yes—
217#2360C2212yes—
218#2360C2212yes—
219#2359C2212yes—
220#2359C2212yes—
221#2356C2212yes—
222#2355C2212yes—
223#2355C2212yes—
224#2354C2212yes—
225#2354C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2354C2212yes—
233#2352C2212yes—
234#2352C2212yes—
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240#2347C2212yes—
241#2347C2214yes—
242#2347C2212yes—
243#2347C2212yes—
244#2346C2212yes—
245#2346C2214yes—
246#2345C2212yes—
247#2344C2212yes—
248#2343C2214yes—
249#2341C2212yes—
250#2341C2212yes—
251#2341C2212yes—
252#2339C2211yescharacteristic
253#2339C2211yescharacteristic
254#2336C2214yes—
255#2335C2214yes—
256#2334C2214yes—
257#2324C2212yes—
258#2320C2212yes—
259#2319C2212yes—
260#2319C2214yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#125C2214yes—
265C4×#126C2214yes—
266C4×#126C2214yes—
267C4×#124C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×#123C2212yes—
272C4×#123C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276#2298C2212yes—
277#2297C2212yes—
278#2297C2212yes—
279#2297C2212yes—
280#2296C2212yes—
281#2295C2212yes—
282#2293C2214yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2283C2211yescharacteristic
290#2283C2212yes—
291#2276C2212yes—
292#2274C2212yes—
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#547—28no—
303#547—28no—
304#541—216no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C4×#41—28no—
331C4×#41—28no—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C42C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2314yes—
381#401C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#393C2312yes—
453#393C2314yes—
454#393C2312yes—
455#392C2314yes—
456#392C2312yes—
457#392C2314yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2311yescharacteristic
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2314yes—
504#389C2314yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#388C2312yes—
539#388C2312yes—
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#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#382C2314yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#381C2312yes—
696#381C2314yes—
697#381C2312yes—
698#381C2312yes—
699#381C2314yes—
700#381C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C4⋊Q8—24no—
852C4⋊Q8—42no—
853C4⋊Q8#4118yescomplemented
854#126—216no—
855#126—216no—
856#126—48no—
857#125—216no—
858#125—216no—
859#125—28no—
860#125—44no—
861#124—44no—
862#123—28no—
863#123—28no—
864#123—216no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872#121—28no—
873#121—28no—
874#121—42no—
875#121—42no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—42no—
897C4×D4—42no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4#4118yes—
902#117—24no—
903#117—24no—
904#117—28no—
905#117—28no—
906#117—28no—
907#117—48no—
908#117—44no—
909#117—44no—
910#117—42no—
911#117—42no—
912#117—44no—
913#117—44no—
914#117—44no—
915#117—44no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C42—28no—
1039C2×C42—28no—
1040C2×C42—24no—
1041C2×C42—24no—
1042C2×C42—44no—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2511yescharacteristic
1162C24C2511yescharacteristic
1163C24C2512yes—
1164#41—416no—
1165#41—416no—
1166#41—816no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8C2×#4114yes—
1178C2×Q8C2×#4114yes—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—28no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4C2×#4114yes—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—28no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2×#4118yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—41no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4118yes—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—22no—
1363C22⋊C4—24no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4C2×#4118yes—
1398C42—22no—
1399C42—22no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—24no—
1411C42—28no—
1412C42—28no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—28no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—41no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—42no—
1430C42—42no—
1431C42—44no—
1432C42—41no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42C2×#4114yes—
1438C42C2×#4114yes—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23C22×#4114yes—
1467C23C2611yescharacteristic
1468Q8—28no—
1469Q8—28no—
1470Q8—48no—
1471Q8—84no—
1472D4—28no—
1473D4—48no—
1474D4—48no—
1475D4—44no—
1476D4—44no—
1477D4—88no—
1478D4—84no—
1479D4—84no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—216no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—82no—
1572C2×C4—88no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4C22×#4114yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4114yes—
1578C2×C4C22×#4114yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4#58512yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C22—24no—
1589C22—24no—
1590C22—24no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22C23×#4111yescharacteristic
1617C22C23×#4111yescharacteristic
1618C22C2×#58511yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22C2×#58511yescharacteristic
1622C222−1+611yescharacteristic
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—24no—
1627C4—22no—
1628C4—24no—
1629C4—24no—
1630C4—42no—
1631C4—42no—
1632C4—41no—
1633C4—42no—
1634C4—44no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—44no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4#347514yes—
1653C4#352114yes—
1654C2—44no—
1655C2—81no—
1656C2—81no—
1657C2—82no—
1658C2C2×#347511yescharacteristic
1659C2C2×#352111yescharacteristic
1660C2#6279311yescharacteristic
1661C2#6293611yescharacteristic
1662C2#6299311yescharacteristic
1663C2#6300711yescharacteristic
1664C2#6303111yescharacteristic
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. #59907C2semidirect
2. #59896C2semidirect
3. #59870C2semidirect
4. #59857C2semidirect
5. #59279C2semidirect
6. #59276C2semidirect
7. #59218C2semidirect
8. #59211C2semidirect
9. #45401C2semidirect
10. #45243C2semidirect
11. #44564C2semidirect
12. #44536C2semidirect
13. #40009C2semidirect
14. #39939C2semidirect
15. #39379C2semidirect
16. #38933C2semidirect
17. #38306C2semidirect
18. #38278C2semidirect
19. #36506C2semidirect
20. #36484C2semidirect
21. #36416C2semidirect
22. #36404C2semidirect
23. #36404C2semidirect
24. #36314C2semidirect
25. #36210C2semidirect
26. #36199C2semidirect
27. #36017C2semidirect
28. #35855C2semidirect
29. #34816C2semidirect
30. #34800C2semidirect
31. #34316C2semidirect
32. #34286C2semidirect
33. #34193C2semidirect
34. C4×#547C2semidirect
35. #34129C2semidirect
853. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599072
#598962
#598702
#598572
#592792
#592762
#592182
#592112
#454012
#452432
#445642
#445362
#400092
#399392
#393792
#389332
#383062
#382782
#365062
#364842
#364162
#364042
#363142
#362102
#361992
#360172
#358552
#348162
#348002
#343162
#342862
#341932
C4×#5472
#341292