Finite Group Databasebeta

← #7979527

Subgroups — #7979527

Order 512.

4975 conjugacy classes of subgroups.

The subgroup lattice has 1719 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59631C212yesmaximal, complemented
2#59451C211yesmaximal, characteristic, complemented
3#59277C212yesmaximal, complemented
4#59144C211yesmaximal, characteristic, complemented
5#59052C211yesmaximal, characteristic, complemented
6#51617C214yesmaximal, complemented
7#49893C214yesmaximal, complemented
8#46108C212yesmaximal, complemented
9#46014C212yesmaximal, complemented
10#45217C212yesmaximal, complemented
11#45113C212yesmaximal, complemented
12#44410C214yesmaximal, complemented
13#42994C212yesmaximal, complemented
14#42633C212yesmaximal, complemented
15#42062C214yesmaximal, complemented
16#40099C212yesmaximal, complemented
17#40079C212yesmaximal, complemented
18#39938C212yesmaximal, complemented
19#39753C212yesmaximal, complemented
20#39470C211yesmaximal, characteristic, complemented
21#39435C212yesmaximal, complemented
22#39203C211yesmaximal, characteristic, complemented
23#36562C211yesmaximal, characteristic, complemented
24#36445C211yesmaximal, characteristic, complemented
25#36399C212yesmaximal, complemented
26#36287C211yesmaximal, characteristic, complemented
27#36186C211yesmaximal, characteristic, complemented
28#36129C211yesmaximal, characteristic, complemented
29#35317C211yesmaximal, characteristic, complemented
30#35294C212yesmaximal, complemented
31#35209C211yesmaximal, characteristic, complemented
32#34947C211yesmaximal, characteristic, complemented
33#34715C211yesmaximal, characteristic
34#34412C212yesmaximal, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#552C2211yescharacteristic
39C2×#552C2212yes—
40C2×#541C2212yes—
41C2×#536C2212yes—
42C2×#536C2212yes—
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47#2868C2212yes—
48#2862C2211yescharacteristic
49#2860C2212yes—
50#2859C2212yes—
51#2859C2212yes—
52#2859C2212yes—
53#2858C2212yes—
54#2857C2212yes—
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2854C2212yes—
58#2836C2214yes—
59#2820C2214yes—
60#2798C2214yes—
61#2791C2214yes—
62#2791C2214yes—
63#2777C2214yes—
64#2773C2214yes—
65#2771C2214yes—
66#2754C2214yes—
67#2743C2214yes—
68#2740C2214yes—
69#2738C2214yes—
70#2732C2214yes—
71#2727C2214yes—
72#2724C2214yes—
73#2721C2214yes—
74#2721C2214yes—
75#2718C2214yes—
76#2718C2214yes—
77#2715C2214yes—
78#2715C2214yes—
79#2713C2214yes—
80#2713C2214yes—
81#2713C2214yes—
82#2707C2214yes—
83#2707C2214yes—
84#2707C2214yes—
85#2706C2214yes—
86#2706C2214yes—
87#2700C2214yes—
88#2695C2214yes—
89#2694C2214yes—
90#2694C2214yes—
91#2693C2214yes—
92#2681C2214yes—
93#2667C2214yes—
94#2664C2214yes—
95#2660C2214yes—
96#2658C2214yes—
97#2654C2214yes—
98#2629C2214yes—
99#2628C2214yes—
100#2625C2212yes—
101#2616C2212yes—
102#2612C2214yes—
103#2610C2214yes—
104#2596C2214yes—
105#2575C2214yes—
106#2575C2214yes—
107#2571C2212yes—
108#2570C2212yes—
109#2570C2212yes—
110#2570C2214yes—
111#2570C2214yes—
112#2568C2211yescharacteristic
113#2567C2211yescharacteristic
114#2566C2212yes—
115#2566C2212yes—
116#2565C2212yes—
117#2565C2212yes—
118#2564C2214yes—
119#2563C2211yescharacteristic
120#2558C2214yes—
121#2557C2214yes—
122#2556C2214yes—
123#2556C2214yes—
124#2556C2214yes—
125#2554C2214yes—
126#2553C2214yes—
127#2553C2214yes—
128#2552C2212yes—
129#2552C2214yes—
130#2552C2211yescharacteristic
131#2550C2212yes—
132#2550C2214yes—
133#2550C2212yes—
134#2550C2212yes—
135#2546C2211yescharacteristic
136#2546C2212yes—
137#2542C2211yescharacteristic
138#2542C2211yescharacteristic
139#2542C2211yescharacteristic
140#2542C2212yes—
141#2542C2211yescharacteristic
142#2542C2212yes—
143#2542C2212yes—
144#2542C2212yes—
145#2538C2211yescharacteristic
146#2538C2212yes—
147#2531C2214yes—
148#2522C2214yes—
149#2521C2214yes—
150#2519C2214yes—
151#2519C2214yes—
152#2517C2214yes—
153#2513C2212yes—
154#2513C2212yes—
155#2513C2212yes—
156#2512C2212yes—
157#2512C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2506C2212yes—
161#2501C2212yes—
162#2501C2212yes—
163#2501C2214yes—
164#2499C2212yes—
165#2498C2214yes—
166#2497C2212yes—
167#2492C2212yes—
168#2490C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2489C2212yes—
173#2486C2212yes—
174#2479C2214yes—
175#2476C2212yes—
176#2474C2212yes—
177#2473C2214yes—
178#2471C2214yes—
179#2471C2214yes—
180#2459C2212yes—
181#2456C2212yes—
182#2454C2212yes—
183#2454C2214yes—
184#2454C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2451C2211yescharacteristic
188#2448C2212yes—
189#2446C2212yes—
190#2446C2212yes—
191#2445C2212yes—
192#2445C2211yescharacteristic
193#2442C2212yes—
194#2442C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2214yes—
198#2441C2212yes—
199#2441C2214yes—
200#2439C2212yes—
201#2439C2214yes—
202#2439C2211yescharacteristic
203#2434C2212yes—
204#2431C2211yescharacteristic
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2426C2211yescharacteristic
211#2423C2212yes—
212#2423C2214yes—
213#2423C2212yes—
214#2421C2212yes—
215#2420C2212yes—
216#2420C2211yescharacteristic
217#2417C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2417C2212yes—
222#2415C2212yes—
223#2414C2211yescharacteristic
224#2409C2212yes—
225#2407C2211yescharacteristic
226#2396C2214yes—
227#2392C2212yes—
228#2388C2212yes—
229#2379C2214yes—
230#2376C2214yes—
231#2374C2214yes—
232#2374C2214yes—
233#2373C2212yes—
234#2372C2214yes—
235#2371C2212yes—
236#2370C2211yescharacteristic
237#2370C2212yes—
238#2369C2211yescharacteristic
239#2365C2211yescharacteristic
240#2363C2212yes—
241#2362C2211yescharacteristic
242#2362C2212yes—
243#2362C2212yes—
244#2360C2212yes—
245#2360C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2360C2212yes—
249#2360C2211yescharacteristic
250#2359C2212yes—
251#2356C2211yescharacteristic
252#2355C2212yes—
253#2354C2211yescharacteristic
254#2352C2212yes—
255#2352C2211yescharacteristic
256Q8×C4⋊C4C2211yescharacteristic
257Q8×C4⋊C4C2212yes—
258#2346C2211yescharacteristic
259#2346C2212yes—
260#2344C2211yescharacteristic
261#2343C2212yes—
262#2341C2212yes—
263Q8×C22⋊C4C2212yes—
264Q8×C22⋊C4C2212yes—
265#2335C2214yes—
266#2335C2214yes—
267#2331C2214yes—
268#2331C2214yes—
269#2330C2214yes—
270#2323C2212yes—
271#2323C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2212yes—
276C4×#126C2212yes—
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×#123C2212yes—
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288#2297C2212yes—
289#2297C2212yes—
290#2295C2212yes—
291#2293C2211yescharacteristic
292#2285C2212yes—
293#2285C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#557—44no—
303#554—44no—
304#552—28no—
305#552—48no—
306#541—48no—
307#536—216no—
308#536—48no—
309#533—44no—
310#532—44no—
311C2×C4⋊Q8—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2311yescharacteristic
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2314yes—
335C2×#125C2314yes—
336C2×#125C2314yes—
337C2×#125C2314yes—
338C2×#125C2314yes—
339C2×#124C2314yes—
340C2×#124C2311yescharacteristic
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C4×#41—44no—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2314yes—
406C2×#117C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#392C2312yes—
507#392C2312yes—
508#392C2312yes—
509#392C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2314yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2312yes—
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#384C2312yes—
708#384C2312yes—
709#384C2314yes—
710#384C2312yes—
711#384C2312yes—
712#384C2314yes—
713#384C2314yes—
714#383C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2314yes—
723#382C2314yes—
724#382C2312yes—
725#382C2314yes—
726#382C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2314yes—
749#380C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2314yes—
816#376C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—42no—
827C22×Q8—28no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×Q8C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—216no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—42no—
867C4⋊Q8—48no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871#127—42no—
872#126—28no—
873#126—48no—
874#126—48no—
875#126—48no—
876#125—24no—
877#125—28no—
878#125—28no—
879#125—48no—
880#125—44no—
881#125—48no—
882#125—44no—
883#125—44no—
884#125—48no—
885#125—48no—
886#125—48no—
887#124—24no—
888#124—216no—
889#124—44no—
890#124—48no—
891#123—216no—
892#123—216no—
893#123—28no—
894#123—48no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—44no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—24no—
906C22⋊Q8—28no—
907C22⋊Q8—28no—
908C22⋊Q8—48no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917#121—24no—
918#121—44no—
919#121—42no—
920#121—42no—
921C4×Q8—28no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—42no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—42no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944#117—24no—
945#117—28no—
946#117—44no—
947#117—44no—
948#117—44no—
949#117—42no—
950#117—44no—
951#117—44no—
952#117—48no—
953#117#4118yescomplemented
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C42—28no—
1087C2×C42—24no—
1088C2×C42—24no—
1089C2×C42—44no—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2414yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2512yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2511yescharacteristic
1200#41—416no—
1201#41—816no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—28no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—816no—
1223C2×Q82−1+414yes—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—42no—
1240C2×D4—41no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—28no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—41no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4C2×#4114yes—
1292C22×C42−1+414yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—28no—
1366C4⋊C4—24no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4C2×#4114yes—
1399C4⋊C4C2×#4114yes—
1400C4⋊C4H(5,𝔽2)14yes—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—22no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—22no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—41no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4C2×#4118yes—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—22no—
1470C42—28no—
1471C42—24no—
1472C42—22no—
1473C42—24no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—44no—
1478C42—42no—
1479C42—41no—
1480C42—42no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—41no—
1485C42—44no—
1486C42—44no—
1487C42C2×#4118yes—
1488C42H(5,𝔽2)14yes—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23C22×#4112yes—
1516C23C2×2−1+412yes—
1517C23C2611yescharacteristic
1518Q8—28no—
1519Q8—44no—
1520Q8—48no—
1521Q8—48no—
1522Q8—84no—
1523Q8—88no—
1524Q8—84no—
1525D4—48no—
1526D4—44no—
1527D4—44no—
1528D4—44no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—44no—
1623C2×C4—82no—
1624C2×C4—88no—
1625C2×C4—84no—
1626C2×C4—164no—
1627C2×C4C22×#4114yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4114yes—
1630C2×C4C22×#4112yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)14yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×2−1+412yes—
1637C2×C4C2×2−1+414yes—
1638C2×C4C2×2−1+412yes—
1639C2×C4C2×2−1+412yes—
1640C2×C4#58512yes—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22C23×#4111yescharacteristic
1670C22C22×H(5,𝔽2)11yescharacteristic
1671C22C22×H(5,𝔽2)11yescharacteristic
1672C22C22×2−1+411yescharacteristic
1673C22C22×2−1+411yescharacteristic
1674C22C2×#58511yescharacteristic
1675C222−1+611yescharacteristic
1676C4—22no—
1677C4—24no—
1678C4—24no—
1679C4—22no—
1680C4—24no—
1681C4—24no—
1682C4—22no—
1683C4—22no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—42no—
1688C4—42no—
1689C4—44no—
1690C4—41no—
1691C4—42no—
1692C4—42no—
1693C4—44no—
1694C4—44no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—41no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—44no—
1705C4#350814yes—
1706C4#353814yes—
1707C2—42no—
1708C2—42no—
1709C2—82no—
1710C2—82no—
1711C2C2×#353811yescharacteristic
1712C2C2×#350811yescharacteristic
1713C2#6280511yescharacteristic
1714C2#6291511yescharacteristic
1715C2#6295411yescharacteristic
1716C2#6300111yescharacteristic
1717C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34715C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59631C2semidirect
2. #59451C2semidirect
3. #59277C2semidirect
4. #59144C2semidirect
5. #59052C2semidirect
6. #51617C2semidirect
7. #49893C2semidirect
8. #46108C2semidirect
9. #46014C2semidirect
10. #45217C2semidirect
11. #45113C2semidirect
12. #44410C2semidirect
13. #42994C2semidirect
14. #42633C2semidirect
15. #42062C2semidirect
16. #40099C2semidirect
17. #40079C2semidirect
18. #39938C2semidirect
19. #39753C2semidirect
20. #39470C2semidirect
21. #39435C2semidirect
22. #39203C2semidirect
23. #36562C2semidirect
24. #36445C2semidirect
25. #36399C2semidirect
26. #36287C2semidirect
27. #36186C2semidirect
28. #36129C2semidirect
29. #35317C2semidirect
30. #35294C2semidirect
31. #35209C2semidirect
32. #34947C2semidirect
34. #34412C2semidirect
35. C4×#552C2semidirect
953. #117#41semidirect

Maximal subgroups

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

subgroupindex
#596312
#594512
#592772
#591442
#590522
#516172
#498932
#461082
#460142
#452172
#451132
#444102
#429942
#426332
#420622
#400992
#400792
#399382
#397532
#394702
#394352
#392032
#365622
#364452
#363992
#362872
#361862
#361292
#353172
#352942
#352092
#349472
#347152
#344122
C4×#5522