Finite Group Databasebeta

← #7690121

Subgroups — #7690121

Order 512.

5566 conjugacy classes of subgroups.

The subgroup lattice has 1787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59841C212yesmaximal, complemented
3#59810C214yesmaximal, complemented
4#59696C212yesmaximal, complemented
5#59668C211yesmaximal, characteristic, complemented
6#59633C212yesmaximal, complemented
7#59057C211yesmaximal, characteristic, complemented
8#59057C211yesmaximal, characteristic, complemented
9#45064C212yesmaximal, complemented
10#45020C212yesmaximal, complemented
11#44605C214yesmaximal, complemented
12#43425C214yesmaximal, complemented
13#40126C212yesmaximal, complemented
14#40121C212yesmaximal, complemented
15#39386C211yesmaximal, characteristic, complemented
16#38941C211yesmaximal, characteristic, complemented
17#38816C214yesmaximal, complemented
18#38290C212yesmaximal, complemented
19#36596C211yesmaximal, characteristic, complemented
20#36595C211yesmaximal, characteristic, complemented
21#36471C212yesmaximal, complemented
22#36463C212yesmaximal, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36273C212yesmaximal, complemented
26#36128C211yesmaximal, characteristic, complemented
27#36051C212yesmaximal, complemented
28#35830C212yesmaximal, complemented
29#34970C212yesmaximal, complemented
30#34800C211yesmaximal, characteristic, complemented
31#34317C211yesmaximal, characteristic, complemented
32#34287C212yesmaximal, complemented
33#34236C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#555C2214yes—
38C2×#555C2212yes—
39C2×#554C2211yescharacteristic
40C2×#553C2212yes—
41C2×#552C2211yescharacteristic
42C2×#550C2212yes—
43C2×#540C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46#2867C2211yescharacteristic
47#2861C2212yes—
48#2858C2212yes—
49#2858C2212yes—
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2856C2212yes—
53#2854C2214yes—
54#2808C2214yes—
55#2806C2214yes—
56#2803C2214yes—
57#2803C2214yes—
58#2781C2214yes—
59#2756C2214yes—
60#2737C2214yes—
61#2737C2214yes—
62#2731C2214yes—
63#2730C2214yes—
64#2730C2214yes—
65#2714C2214yes—
66#2705C2214yes—
67#2699C2214yes—
68#2699C2214yes—
69#2694C2214yes—
70#2686C2214yes—
71#2686C2214yes—
72#2673C2214yes—
73#2673C2214yes—
74#2673C2214yes—
75#2662C2214yes—
76#2661C2214yes—
77#2640C2212yes—
78#2619C2212yes—
79#2610C2214yes—
80#2610C2214yes—
81#2610C2214yes—
82#2609C2214yes—
83#2602C2214yes—
84#2602C2214yes—
85#2601C2214yes—
86#2584C2212yes—
87#2563C2212yes—
88#2557C2214yes—
89#2557C2214yes—
90#2557C2214yes—
91#2555C2214yes—
92#2555C2214yes—
93#2555C2214yes—
94#2554C2214yes—
95#2553C2214yes—
96#2552C2211yescharacteristic
97#2551C2211yescharacteristic
98#2551C2212yes—
99#2550C2212yes—
100#2548C2212yes—
101#2548C2211yescharacteristic
102#2548C2212yes—
103#2548C2211yescharacteristic
104#2548C2212yes—
105#2546C2212yes—
106#2544C2214yes—
107#2544C2214yes—
108#2543C2214yes—
109#2543C2214yes—
110#2541C2212yes—
111#2541C2212yes—
112#2541C2212yes—
113#2541C2212yes—
114#2541C2211yescharacteristic
115#2541C2211yescharacteristic
116#2540C2212yes—
117#2540C2212yes—
118#2532C2212yes—
119#2531C2214yes—
120#2531C2214yes—
121#2526C2214yes—
122#2526C2212yes—
123#2521C2214yes—
124#2518C2212yes—
125#2513C2212yes—
126#2513C2211yescharacteristic
127#2513C2212yes—
128#2512C2212yes—
129#2508C2211yescharacteristic
130#2507C2212yes—
131#2507C2212yes—
132#2500C2211yescharacteristic
133#2500C2212yes—
134#2498C2214yes—
135#2497C2211yescharacteristic
136#2491C2212yes—
137#2491C2212yes—
138#2491C2214yes—
139#2491C2212yes—
140#2491C2214yes—
141#2491C2211yescharacteristic
142#2491C2212yes—
143#2490C2214yes—
144#2490C2212yes—
145#2490C2212yes—
146#2490C2212yes—
147#2490C2212yes—
148#2485C2214yes—
149#2485C2211yescharacteristic
150#2476C2214yes—
151#2476C2214yes—
152#2476C2214yes—
153#2471C2214yes—
154#2464C2214yes—
155#2464C2214yes—
156#2459C2214yes—
157#2459C2214yes—
158#2459C2214yes—
159#2459C2212yes—
160#2454C2212yes—
161#2454C2212yes—
162#2451C2214yes—
163#2445C2214yes—
164#2445C2212yes—
165#2445C2212yes—
166#2445C2212yes—
167#2445C2212yes—
168#2445C2212yes—
169#2445C2214yes—
170#2439C2211yescharacteristic
171#2431C2212yes—
172#2431C2212yes—
173#2428C2212yes—
174#2428C2212yes—
175#2428C2212yes—
176#2428C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2428C2212yes—
180#2428C2214yes—
181#2428C2212yes—
182#2428C2212yes—
183#2427C2212yes—
184#2427C2212yes—
185#2427C2212yes—
186#2427C2212yes—
187#2420C2212yes—
188#2420C2214yes—
189#2416C2212yes—
190#2416C2212yes—
191#2416C2212yes—
192#2414C2214yes—
193#2414C2212yes—
194#2414C2214yes—
195#2414C2211yescharacteristic
196#2407C2214yes—
197#2407C2214yes—
198#2398C2212yes—
199#2395C2214yes—
200#2392C2212yes—
201#2392C2214yes—
202#2374C2214yes—
203#2373C2212yes—
204#2372C2214yes—
205#2371C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2370C2211yescharacteristic
209#2369C2211yescharacteristic
210#2369C2211yescharacteristic
211#2369C2212yes—
212#2369C2211yescharacteristic
213#2366C2211yescharacteristic
214#2366C2212yes—
215#2366C2212yes—
216#2366C2212yes—
217#2366C2211yescharacteristic
218#2366C2212yes—
219#2366C2211yescharacteristic
220#2366C2211yescharacteristic
221#2366C2212yes—
222#2364C2214yes—
223#2363C2212yes—
224#2363C2212yes—
225#2363C2212yes—
226#2363C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2363C2214yes—
230#2363C2212yes—
231#2362C2214yes—
232#2362C2212yes—
233#2362C2211yescharacteristic
234#2361C2212yes—
235#2361C2212yes—
236#2361C2212yes—
237#2361C2212yes—
238#2360C2211yescharacteristic
239#2359C2214yes—
240#2359C2212yes—
241#2357C2212yes—
242#2357C2212yes—
243#2356C2211yescharacteristic
244#2355C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2212yes—
247#2352C2211yescharacteristic
248#2349C2212yes—
249#2346C2211yescharacteristic
250#2344C2212yes—
251#2344C2211yescharacteristic
252#2343C2212yes—
253#2339C2214yes—
254#2337C2214yes—
255#2335C2214yes—
256#2333C2214yes—
257#2332C2214yes—
258#2323C2212yes—
259#2319C2212yes—
260#2319C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×#127C2212yes—
264C4×#125C2212yes—
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#124C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×#123C2212yes—
272C4×#123C2214yes—
273C4×#121C2214yes—
274C4×#121C2214yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280#2298C2212yes—
281#2297C2214yes—
282#2293C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288#2283C2211yescharacteristic
289#2275C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#559—48no—
302#555—48no—
303#555—416no—
304#554—28no—
305#553—48no—
306#552—28no—
307#550—48no—
308#540—216no—
309#532—28no—
310#532—28no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2314yes—
326C2×#127C2312yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2311yescharacteristic
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2312yes—
419C2×#117C2314yes—
420C2×#117C2314yes—
421C2×#117C2314yes—
422C2×#117C2314yes—
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2312yes—
431C22×C42C2314yes—
432#400C2312yes—
433#400C2312yes—
434#399C2314yes—
435#399C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#385C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#383C2312yes—
708#383C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2312yes—
719#381C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C43C2312yes—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C2×#41—82no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C4⋊Q8—44no—
869C4⋊Q8—42no—
870C4⋊Q8—44no—
871C4⋊Q8—48no—
872C4⋊Q8#4118yes—
873#127—24no—
874#127—24no—
875#127—28no—
876#127—44no—
877#127—44no—
878#127—44no—
879#127—44no—
880#127—44no—
881#127—44no—
882#127—48no—
883#127—82no—
884#126—28no—
885#126—48no—
886#125—28no—
887#125—28no—
888#125—44no—
889#125#4118yescomplemented
890#124—28no—
891#124—28no—
892#124—28no—
893#124—48no—
894#124—48no—
895#124—48no—
896#124—48no—
897#124—48no—
898#124—44no—
899#124—44no—
900#124—48no—
901#123—216no—
902#123—216no—
903#123—28no—
904#123—48no—
905#123—48no—
906#123—48no—
907C22⋊Q8—216no—
908C22⋊Q8—24no—
909C22⋊Q8—24no—
910C22⋊Q8—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—28no—
915#121—216no—
916#121—216no—
917#121—28no—
918#121—28no—
919#121—216no—
920#121—44no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—48no—
926#121—42no—
927#121—42no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—84no—
937#121—84no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—42no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—84no—
968C4×D4—84no—
969C4×D4—84no—
970#117—24no—
971#117—28no—
972#117—28no—
973#117—24no—
974#117—28no—
975#117—28no—
976#117—48no—
977#117—48no—
978#117—48no—
979#117—48no—
980#117—42no—
981#117—42no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—44no—
1109C2×C42—84no—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2411yescharacteristic
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210C24C2511yescharacteristic
1211C24C2512yes—
1212C24C2514yes—
1213C24C2514yes—
1214C24C2511yescharacteristic
1215#41—816no—
1216#41—816no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8C2×#4118yes—
1229C2×D4—22no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—41no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—28no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—28no—
1319C22×C4—28no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—24no—
1323C22×C4—28no—
1324C22×C4—28no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—28no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—41no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4C2×#4114yes—
1422C4⋊C4C2×#4118yes—
1423C4⋊C4C2×#4114yes—
1424C4⋊C4C2×#4118yes—
1425C4⋊C4C2×#4118yes—
1426C4⋊C4C2×#4118yes—
1427C4⋊C4H(5,𝔽2)14yes—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—22no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—22no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4H(5,𝔽2)14yes—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—24no—
1507C42—28no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—22no—
1512C42—24no—
1513C42—22no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—24no—
1518C42—22no—
1519C42—42no—
1520C42—42no—
1521C42—42no—
1522C42—42no—
1523C42—44no—
1524C42—44no—
1525C42—42no—
1526C42—42no—
1527C42—44no—
1528C42—44no—
1529C42—44no—
1530C42—42no—
1531C42—41no—
1532C42C2×#4114yes—
1533C42C2×#4114yes—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—24no—
1546C23—22no—
1547C23—21no—
1548C23—22no—
1549C23—21no—
1550C23—22no—
1551C23—24no—
1552C23—24no—
1553C23—24no—
1554C23—21no—
1555C23—24no—
1556C23—21no—
1557C23—21no—
1558C23—24no—
1559C23—24no—
1560C23—24no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—21no—
1567C23—24no—
1568C23C2×H(5,𝔽2)12yes—
1569C23C2611yescharacteristic
1570Q8—48no—
1571Q8—44no—
1572Q8—84no—
1573Q8—164no—
1574D4—44no—
1575D4—416no—
1576D4—48no—
1577D4—48no—
1578D4—44no—
1579D4—48no—
1580D4—48no—
1581D4—88no—
1582D4—88no—
1583D4—88no—
1584D4—88no—
1585D4—88no—
1586D4—84no—
1587D4—84no—
1588D4—88no—
1589D4—88no—
1590D4—84no—
1591D4—84no—
1592D4—164no—
1593D4—164no—
1594D4—164no—
1595D4—164no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—416no—
1672C2×C4—44no—
1673C2×C4—48no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—48no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—88no—
1681C2×C4—88no—
1682C2×C4—88no—
1683C2×C4—88no—
1684C2×C4—88no—
1685C2×C4—84no—
1686C2×C4—88no—
1687C2×C4C22×#4112yes—
1688C2×C4C22×#4112yes—
1689C2×C4C22×#4114yes—
1690C2×C4C22×#4112yes—
1691C2×C4C22×#4114yes—
1692C2×C4C22×#4118yes—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C2×H(5,𝔽2)14yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4#58512yes—
1701C2×C4#58512yes—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—44no—
1711C22—42no—
1712C22—44no—
1713C22—44no—
1714C22—42no—
1715C22—44no—
1716C22—41no—
1717C22—44no—
1718C22—44no—
1719C22—42no—
1720C22—41no—
1721C22—41no—
1722C22—42no—
1723C22—44no—
1724C22—44no—
1725C22—44no—
1726C22—41no—
1727C22—42no—
1728C22—44no—
1729C22—44no—
1730C22—44no—
1731C22—41no—
1732C22—42no—
1733C22—41no—
1734C22—42no—
1735C22—44no—
1736C22—44no—
1737C22C23×#4111yescharacteristic
1738C22C23×#4111yescharacteristic
1739C22C22×H(5,𝔽2)11yescharacteristic
1740C22C22×H(5,𝔽2)11yescharacteristic
1741C22C2×#58511yescharacteristic
1742C22C2×#58511yescharacteristic
1743C22H(7,𝔽2)11yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—28no—
1747C4—24no—
1748C4—22no—
1749C4—22no—
1750C4—24no—
1751C4—22no—
1752C4—24no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—44no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—41no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4#348314yes—
1773C4#352414yes—
1774C2—42no—
1775C2—81no—
1776C2—84no—
1777C2—82no—
1778C2—84no—
1779C2C2×#348311yescharacteristic
1780C2C2×#352411yescharacteristic
1781C2#6280011yescharacteristic
1782C2#6292011yescharacteristic
1783C2#6298311yescharacteristic
1784C2#6301011yescharacteristic
1785C2#6301411yescharacteristic
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. #59962C2semidirect
2. #59841C2semidirect
3. #59810C2semidirect
4. #59696C2semidirect
5. #59668C2semidirect
6. #59633C2semidirect
7. #59057C2semidirect
8. #59057C2semidirect
9. #45064C2semidirect
10. #45020C2semidirect
11. #44605C2semidirect
12. #43425C2semidirect
13. #40126C2semidirect
14. #40121C2semidirect
15. #39386C2semidirect
16. #38941C2semidirect
17. #38816C2semidirect
18. #38290C2semidirect
19. #36596C2semidirect
20. #36595C2semidirect
21. #36471C2semidirect
22. #36463C2semidirect
23. #36302C2semidirect
24. #36273C2semidirect
25. #36273C2semidirect
26. #36128C2semidirect
27. #36051C2semidirect
28. #35830C2semidirect
29. #34970C2semidirect
30. #34800C2semidirect
31. #34317C2semidirect
32. #34287C2semidirect
33. #34236C2semidirect
34. C4×#552C2semidirect
35. #34155C2semidirect
889. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599622
#598412
#598102
#596962
#596682
#596332
#590572
#450642
#450202
#446052
#434252
#401262
#401212
#393862
#389412
#388162
#382902
#365962
#365952
#364712
#364632
#363022
#362732
#361282
#360512
#358302
#349702
#348002
#343172
#342872
#342362
C4×#5522
#341552