Finite Group Databasebeta

← #7690016

Subgroups — #7690016

Order 512.

4983 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59944C212yesmaximal, complemented
2#59901C214yesmaximal, complemented
3#59828C211yesmaximal, characteristic, complemented
4#59811C212yesmaximal, complemented
5#59418C212yesmaximal, complemented
6#59288C212yesmaximal, complemented
7#59244C211yesmaximal, characteristic, complemented
8#59218C211yesmaximal, characteristic, complemented
9#44990C212yesmaximal, complemented
10#44893C212yesmaximal, complemented
11#44685C214yesmaximal, complemented
12#44602C214yesmaximal, complemented
13#40083C212yesmaximal, complemented
14#40070C212yesmaximal, complemented
15#39370C211yesmaximal, characteristic, complemented
16#38920C211yesmaximal, characteristic, complemented
17#38894C214yesmaximal, complemented
18#37983C212yesmaximal, complemented
19#36508C212yesmaximal, complemented
20#36481C211yesmaximal, characteristic, complemented
21#36477C211yesmaximal, characteristic, complemented
22#36461C212yesmaximal, complemented
23#36390C212yesmaximal, complemented
24#36288C211yesmaximal, characteristic, complemented
25#36259C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36073C212yesmaximal, complemented
28#36026C212yesmaximal, complemented
29#34975C212yesmaximal, complemented
30#34724C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34272C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#556C2212yes—
38C2×#555C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#544C2212yes—
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2863C2212yes—
45#2862C2212yes—
46#2861C2214yes—
47#2859C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2855C2212yes—
51#2854C2212yes—
52#2793C2214yes—
53#2783C2214yes—
54#2773C2214yes—
55#2772C2214yes—
56#2768C2214yes—
57#2767C2214yes—
58#2754C2214yes—
59#2744C2214yes—
60#2731C2214yes—
61#2730C2214yes—
62#2729C2214yes—
63#2726C2214yes—
64#2718C2214yes—
65#2715C2214yes—
66#2711C2214yes—
67#2707C2214yes—
68#2707C2214yes—
69#2706C2214yes—
70#2704C2214yes—
71#2695C2214yes—
72#2676C2214yes—
73#2651C2214yes—
74#2651C2214yes—
75#2629C2212yes—
76#2624C2212yes—
77#2612C2214yes—
78#2609C2214yes—
79#2608C2214yes—
80#2606C2214yes—
81#2601C2214yes—
82#2601C2214yes—
83#2587C2214yes—
84#2582C2212yes—
85#2576C2214yes—
86#2574C2214yes—
87#2572C2214yes—
88#2570C2212yes—
89#2566C2212yes—
90#2565C2214yes—
91#2562C2212yes—
92#2559C2214yes—
93#2558C2214yes—
94#2558C2214yes—
95#2557C2214yes—
96#2554C2214yes—
97#2554C2214yes—
98#2552C2211yescharacteristic
99#2552C2212yes—
100#2551C2211yescharacteristic
101#2546C2211yescharacteristic
102#2546C2211yescharacteristic
103#2546C2212yes—
104#2545C2214yes—
105#2542C2212yes—
106#2538C2211yescharacteristic
107#2538C2212yes—
108#2538C2212yes—
109#2538C2211yescharacteristic
110#2533C2214yes—
111#2532C2214yes—
112#2531C2214yes—
113#2528C2214yes—
114#2527C2214yes—
115#2526C2214yes—
116#2526C2214yes—
117#2525C2214yes—
118#2522C2214yes—
119#2519C2214yes—
120#2519C2214yes—
121#2519C2214yes—
122#2519C2214yes—
123#2516C2214yes—
124#2515C2214yes—
125#2514C2212yes—
126#2512C2212yes—
127#2512C2212yes—
128#2509C2212yes—
129#2508C2212yes—
130#2507C2212yes—
131#2506C2212yes—
132#2506C2212yes—
133#2506C2212yes—
134#2498C2214yes—
135#2497C2212yes—
136#2497C2212yes—
137#2496C2212yes—
138#2496C2212yes—
139#2495C2212yes—
140#2494C2212yes—
141#2494C2212yes—
142#2492C2212yes—
143#2491C2212yes—
144#2490C2214yes—
145#2490C2212yes—
146#2489C2212yes—
147#2487C2212yes—
148#2486C2212yes—
149#2485C2212yes—
150#2485C2212yes—
151#2485C2212yes—
152#2481C2214yes—
153#2478C2214yes—
154#2478C2212yes—
155#2477C2214yes—
156#2475C2214yes—
157#2470C2212yes—
158#2469C2214yes—
159#2466C2212yes—
160#2458C2214yes—
161#2455C2212yes—
162#2453C2214yes—
163#2453C2211yescharacteristic
164#2452C2212yes—
165#2447C2211yescharacteristic
166#2446C2212yes—
167#2446C2212yes—
168#2442C2214yes—
169#2442C2212yes—
170#2441C2212yes—
171#2441C2211yescharacteristic
172#2439C2212yes—
173#2439C2212yes—
174#2439C2212yes—
175#2432C2212yes—
176#2432C2211yescharacteristic
177#2429C2212yes—
178#2429C2212yes—
179#2429C2212yes—
180#2429C2211yescharacteristic
181#2429C2212yes—
182#2426C2214yes—
183#2425C2214yes—
184#2423C2212yes—
185#2422C2211yescharacteristic
186#2421C2212yes—
187#2421C2212yes—
188#2416C2212yes—
189#2415C2212yes—
190#2415C2211yescharacteristic
191#2415C2212yes—
192#2414C2212yes—
193#2413C2214yes—
194#2407C2212yes—
195#2407C2211yescharacteristic
196#2402C2214yes—
197#2401C2214yes—
198#2395C2212yes—
199#2392C2212yes—
200#2374C2214yes—
201#2373C2214yes—
202#2372C2212yes—
203#2372C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2369C2212yes—
209#2369C2211yescharacteristic
210#2368C2214yes—
211#2368C2214yes—
212#2365C2211yescharacteristic
213#2365C2212yes—
214#2365C2212yes—
215#2363C2212yes—
216#2363C2212yes—
217#2363C2211yescharacteristic
218#2363C2211yescharacteristic
219#2363C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2360C2214yes—
225#2360C2214yes—
226#2357C2212yes—
227#2355C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2354C2212yes—
232#2354C2212yes—
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2354C2211yescharacteristic
236#2352C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2347C2212yes—
242#2347C2212yes—
243#2346C2214yes—
244#2346C2212yes—
245#2346C2212yes—
246#2346C2211yescharacteristic
247#2346C2211yescharacteristic
248#2346C2212yes—
249#2345C2212yes—
250#2343C2214yes—
251#2341C2212yes—
252#2341C2212yes—
253#2339C2212yes—
254#2335C2214yes—
255#2335C2214yes—
256#2331C2214yes—
257#2330C2214yes—
258#2324C2212yes—
259#2317C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2214yes—
266C4×#125C2212yes—
267C4×#125C2214yes—
268C4×#126C2214yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280#2297C2212yes—
281#2296C2212yes—
282#2295C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2214yes—
286C2×#389C2212yes—
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2274C2212yes—
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#557—48no—
302#556—48no—
303#555—28no—
304#547—28no—
305#547—48no—
306#544—216no—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315#529—28no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2314yes—
352C4×#41—28no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2314yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#392C2312yes—
478#392C2314yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2311yescharacteristic
511#390C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#384C2314yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#383C2314yes—
692#383C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#381C2312yes—
704#381C2314yes—
705#381C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—42no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C4⋊Q8—216no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—28no—
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8#4118yescomplemented
859#126—28no—
860#126—48no—
861#126—48no—
862#126—48no—
863#125—24no—
864#125—216no—
865#125—28no—
866#125—28no—
867#125—48no—
868#125—48no—
869#125—48no—
870#124—28no—
871#124—28no—
872#124—24no—
873#124—48no—
874#123—28no—
875#123—216no—
876#123—44no—
877#123—48no—
878#123—48no—
879C22⋊Q8—216no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—24no—
883C22⋊Q8—216no—
884C22⋊Q8—28no—
885C22⋊Q8—42no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889#121—24no—
890#121—28no—
891#121—24no—
892#121—24no—
893#121—28no—
894#121—48no—
895C4×Q8—28no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—48no—
901C4×Q8—48no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4#4118yes—
920#117—28no—
921#117—24no—
922#117—28no—
923#117—24no—
924#117—24no—
925#117—28no—
926#117—28no—
927#117—24no—
928#117—24no—
929#117—28no—
930#117—28no—
931#117—48no—
932#117—44no—
933#117—44no—
934#117—44no—
935#117—44no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—48no—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C42—28no—
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—44no—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2414yes—
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C24C2511yescharacteristic
1182C24C2512yes—
1183#41—416no—
1184#41—816no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—28no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8C2×#4118yes—
1199C2×Q8H(5,𝔽2)14yes—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4C2×#4114yes—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4C2×#4118yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—41no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4C2×#4114yes—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4C2×#4118yes—
1370C4⋊C42−1+414yes—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—22no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4C2×#4118yes—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—28no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—28no—
1440C42—22no—
1441C42—28no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—24no—
1447C42—24no—
1448C42—28no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—44no—
1454C42—41no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—41no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42C2×#4114yes—
1464C42C2×#4114yes—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—21no—
1490C23—22no—
1491C23—21no—
1492C23C22×#4114yes—
1493C23C2611yescharacteristic
1494Q8—28no—
1495Q8—48no—
1496Q8—44no—
1497Q8—48no—
1498Q8—88no—
1499D4—28no—
1500D4—48no—
1501D4—44no—
1502D4—44no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—88no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—216no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—44no—
1587C2×C4—48no—
1588C2×C4—48no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—48no—
1595C2×C4—88no—
1596C2×C4—82no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C2×H(5,𝔽2)14yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×2−1+414yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22C23×#4111yescharacteristic
1643C22C23×#4111yescharacteristic
1644C22C22×H(5,𝔽2)11yescharacteristic
1645C22C22×2−1+411yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C222−1+611yescharacteristic
1649C4—24no—
1650C4—24no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—22no—
1655C4—24no—
1656C4—24no—
1657C4—24no—
1658C4—44no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—42no—
1663C4—44no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4—44no—
1674C4—42no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4#348214yes—
1679C4#349414yes—
1680C2—44no—
1681C2—81no—
1682C2—81no—
1683C2—82no—
1684C2C2×#348211yescharacteristic
1685C2#6279311yescharacteristic
1686C2C2×#349411yescharacteristic
1687C2#6295011yescharacteristic
1688C2#6298411yescharacteristic
1689C2#6299311yescharacteristic
1690C2#6303911yescharacteristic
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. #59944C2semidirect
2. #59901C2semidirect
3. #59828C2semidirect
4. #59811C2semidirect
5. #59418C2semidirect
6. #59288C2semidirect
7. #59244C2semidirect
8. #59218C2semidirect
9. #44990C2semidirect
10. #44893C2semidirect
11. #44685C2semidirect
12. #44602C2semidirect
13. #40083C2semidirect
14. #40070C2semidirect
15. #39370C2semidirect
16. #38920C2semidirect
17. #38894C2semidirect
18. #37983C2semidirect
19. #36508C2semidirect
20. #36481C2semidirect
21. #36477C2semidirect
22. #36461C2semidirect
23. #36390C2semidirect
24. #36288C2semidirect
25. #36259C2semidirect
26. #36210C2semidirect
27. #36073C2semidirect
28. #36026C2semidirect
29. #34975C2semidirect
30. #34724C2semidirect
31. #34316C2semidirect
32. #34272C2semidirect
33. #34242C2semidirect
34. C4×#555C2semidirect
35. #34129C2semidirect
858. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599442
#599012
#598282
#598112
#594182
#592882
#592442
#592182
#449902
#448932
#446852
#446022
#400832
#400702
#393702
#389202
#388942
#379832
#365082
#364812
#364772
#364612
#363902
#362882
#362592
#362102
#360732
#360262
#349752
#347242
#343162
#342722
#342422
C4×#5552
#341292