Finite Group Databasebeta

← #7688391

Subgroups — #7688391

Order 512.

5678 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59699C212yesmaximal, complemented
2#59680C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59677C212yesmaximal, complemented
5#59548C212yesmaximal, complemented
6#59102C212yesmaximal, complemented
7#59056C211yesmaximal, characteristic, complemented
8#59051C212yesmaximal, complemented
9#59051C211yesmaximal, characteristic, complemented
10#44260C214yesmaximal, complemented
11#44130C214yesmaximal, complemented
12#44122C214yesmaximal, complemented
13#40153C212yesmaximal, complemented
14#40150C212yesmaximal, complemented
15#40009C212yesmaximal, complemented
16#39996C212yesmaximal, complemented
17#39246C212yesmaximal, complemented
18#39237C212yesmaximal, complemented
19#36556C211yesmaximal, characteristic, complemented
20#36551C211yesmaximal, characteristic, complemented
21#36498C212yesmaximal, complemented
22#36415C211yesmaximal, characteristic, complemented
23#36411C211yesmaximal, characteristic, complemented
24#36315C211yesmaximal, characteristic, complemented
25#36259C211yesmaximal, characteristic, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36141C212yesmaximal, complemented
28#35719C214yesmaximal, complemented
29#34977C211yesmaximal, characteristic, complemented
30#34937C211yesmaximal, characteristic, complemented
31#34934C211yesmaximal, characteristic, complemented
32#34330C212yesmaximal, complemented
33#34323C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2212yes—
38C2×#553C2211yescharacteristic
39C2×#550C2212yes—
40C2×#550C2211yescharacteristic
41C2×#547C2211yescharacteristic
42C2×#547C2212yes—
43C2×#532C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2212yes—
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49#2864C2212yes—
50#2862C2211yescharacteristic
51#2861C2212yes—
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2854C2212yes—
55#2854C2212yes—
56#2851C2212yes—
57#2850C2212yes—
58#2800C2214yes—
59#2800C2214yes—
60#2797C2214yes—
61#2793C2214yes—
62#2779C2214yes—
63#2753C2214yes—
64#2753C2214yes—
65#2753C2214yes—
66#2752C2214yes—
67#2749C2214yes—
68#2733C2214yes—
69#2714C2214yes—
70#2714C2214yes—
71#2714C2214yes—
72#2709C2214yes—
73#2706C2214yes—
74#2703C2214yes—
75#2703C2214yes—
76#2673C2214yes—
77#2673C2214yes—
78#2673C2214yes—
79#2648C2214yes—
80#2648C2214yes—
81#2635C2214yes—
82#2610C2214yes—
83#2608C2214yes—
84#2597C2214yes—
85#2597C2214yes—
86#2595C2214yes—
87#2589C2214yes—
88#2588C2214yes—
89#2567C2211yescharacteristic
90#2563C2211yescharacteristic
91#2559C2214yes—
92#2557C2214yes—
93#2557C2214yes—
94#2554C2214yes—
95#2554C2214yes—
96#2552C2211yescharacteristic
97#2548C2211yescharacteristic
98#2547C2211yescharacteristic
99#2546C2211yescharacteristic
100#2545C2212yes—
101#2544C2212yes—
102#2543C2214yes—
103#2541C2212yes—
104#2541C2211yescharacteristic
105#2541C2211yescharacteristic
106#2541C2212yes—
107#2541C2212yes—
108#2541C2214yes—
109#2541C2212yes—
110#2541C2211yescharacteristic
111#2538C2211yescharacteristic
112#2535C2212yes—
113#2535C2212yes—
114#2535C2212yes—
115#2535C2212yes—
116#2531C2214yes—
117#2529C2214yes—
118#2526C2214yes—
119#2525C2214yes—
120#2520C2214yes—
121#2512C2212yes—
122#2512C2212yes—
123#2512C2214yes—
124#2511C2212yes—
125#2509C2212yes—
126#2509C2212yes—
127#2508C2212yes—
128#2500C2212yes—
129#2499C2212yes—
130#2497C2212yes—
131#2497C2212yes—
132#2490C2212yes—
133#2489C2212yes—
134#2487C2212yes—
135#2486C2212yes—
136#2485C2212yes—
137#2485C2212yes—
138#2481C2214yes—
139#2476C2214yes—
140#2474C2214yes—
141#2471C2214yes—
142#2468C2214yes—
143#2464C2214yes—
144#2461C2214yes—
145#2457C2214yes—
146#2457C2214yes—
147#2457C2214yes—
148#2456C2214yes—
149#2456C2214yes—
150#2456C2214yes—
151#2456C2214yes—
152#2456C2214yes—
153#2456C2214yes—
154#2456C2214yes—
155#2454C2212yes—
156#2450C2214yes—
157#2447C2212yes—
158#2447C2212yes—
159#2446C2212yes—
160#2445C2212yes—
161#2445C2214yes—
162#2445C2212yes—
163#2444C2214yes—
164#2431C2212yes—
165#2431C2214yes—
166#2431C2212yes—
167#2431C2212yes—
168#2429C2212yes—
169#2428C2212yes—
170#2428C2214yes—
171#2428C2212yes—
172#2428C2212yes—
173#2427C2212yes—
174#2427C2212yes—
175#2426C2212yes—
176#2426C2212yes—
177#2426C2212yes—
178#2425C2214yes—
179#2422C2212yes—
180#2420C2212yes—
181#2420C2212yes—
182#2416C2212yes—
183#2416C2212yes—
184#2416C2212yes—
185#2416C2214yes—
186#2416C2212yes—
187#2416C2212yes—
188#2415C2212yes—
189#2414C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2414C2212yes—
195#2413C2214yes—
196#2407C2212yes—
197#2407C2212yes—
198#2407C2212yes—
199#2407C2212yes—
200#2392C2214yes—
201#2392C2214yes—
202#2388C2214yes—
203#2374C2212yes—
204#2373C2214yes—
205#2373C2212yes—
206#2370C2211yescharacteristic
207#2369C2211yescharacteristic
208#2366C2214yes—
209#2366C2212yes—
210#2366C2211yescharacteristic
211#2366C2212yes—
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2364C2214yes—
215#2364C2214yes—
216#2364C2214yes—
217#2364C2212yes—
218#2363C2212yes—
219#2363C2211yescharacteristic
220#2363C2212yes—
221#2363C2211yescharacteristic
222#2363C2211yescharacteristic
223#2363C2212yes—
224#2363C2212yes—
225#2362C2212yes—
226#2361C2214yes—
227#2361C2212yes—
228#2361C2211yescharacteristic
229#2359C2214yes—
230#2357C2214yes—
231#2357C2211yescharacteristic
232#2355C2212yes—
233#2354C2212yes—
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2354C2212yes—
238#2353C2212yes—
239#2352C2212yes—
240#2352C2214yes—
241#2352C2212yes—
242#2352C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244#2349C2212yes—
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2211yescharacteristic
247#2347C2211yescharacteristic
248#2346C2212yes—
249#2345C2212yes—
250#2345C2211yescharacteristic
251#2341C2211yescharacteristic
252#2341C2211yescharacteristic
253#2339C2212yes—
254#2339C2212yes—
255#2339C2212yes—
256#2335C2214yes—
257#2334C2214yes—
258#2333C2214yes—
259#2333C2214yes—
260#2328C2214yes—
261#2325C2214yes—
262C4×#127C2212yes—
263C4×#127C2211yescharacteristic
264C4×#127C2212yes—
265C4×#127C2211yescharacteristic
266C4×#127C2212yes—
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#126C2212yes—
270C4×#124C2212yes—
271C4×#123C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285#2297C2212yes—
286#2297C2212yes—
287#2296C2212yes—
288#2295C2212yes—
289#2293C2212yes—
290C2×#389C2212yes—
291#2275C2214yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304#555—44no—
305#553—216no—
306#553—28no—
307#550—28no—
308#550—216no—
309#547—44no—
310#547—48no—
311#532—44no—
312#532—44no—
313#532—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2314yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2314yes—
325#529—48no—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2312yes—
330C2×#125C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C4×#41—44no—
376C4×#41—44no—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×#117C2312yes—
425C2×#117C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2314yes—
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2314yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2312yes—
442C22×C42C2312yes—
443C22×C42C2312yes—
444C22×C42C2312yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2312yes—
717#383C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2314yes—
722#382C2314yes—
723#382C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2314yes—
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C43C2312yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—42no—
831C2×#41—42no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—82no—
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C4⋊Q8—28no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891#127—28no—
892#127—24no—
893#127—28no—
894#127—216no—
895#127—24no—
896#127—44no—
897#127—44no—
898#127—84no—
899#126—28no—
900#126—216no—
901#126—48no—
902#125—44no—
903#125#4118yescomplemented
904#124—28no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—48no—
909#123—216no—
910#123—28no—
911#123—48no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—84no—
916C22⋊Q8—28no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—82no—
920#121—28no—
921#121—216no—
922#121—24no—
923#121—28no—
924#121—216no—
925#121—28no—
926#121—28no—
927#121—24no—
928#121—28no—
929#121—24no—
930#121—28no—
931#121—216no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—84no—
947#121#4118yescomplemented
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—28no—
951C4×Q8—24no—
952C4×Q8—42no—
953C4×Q8—42no—
954C4×D4—24no—
955C4×D4—28no—
956C4×D4—216no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—216no—
960C4×D4—24no—
961C4×D4—28no—
962C4×D4—28no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—44no—
968C4×D4—48no—
969C4×D4—42no—
970C4×D4—42no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—48no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—48no—
990C4×D4—48no—
991C4×D4—84no—
992C4×D4—84no—
993C4×D4—82no—
994C4×D4—84no—
995#117—28no—
996#117—24no—
997#117—44no—
998#117—44no—
999#117—48no—
1000#117—42no—
1001#117—42no—
1002#117—42no—
1003#117—44no—
1004#117—44no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—28no—
1007C2×C4⋊C4—42no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4—48no—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C42—24no—
1132C2×C42—24no—
1133C2×C42—44no—
1134C2×C42—44no—
1135C2×C42—44no—
1136C2×C42—44no—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2411yescharacteristic
1201#95C2412yes—
1202#95C2411yescharacteristic
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24C2514yes—
1230C24C2512yes—
1231C24C2512yes—
1232C24C2511yescharacteristic
1233C24C2512yes—
1234C24C2511yescharacteristic
1235#41—416no—
1236#41—416no—
1237#41—816no—
1238#41—816no—
1239#41—816no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8H(5,𝔽2)14yes—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—24no—
1270C2×D4—28no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—41no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4C2×#4114yes—
1323C2×D4C2×#4118yes—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—28no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—28no—
1352C22×C4—24no—
1353C22×C4—28no—
1354C22×C4—24no—
1355C22×C4—28no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—28no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4C2×#4114yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2514yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—28no—
1429C4⋊C4—22no—
1430C4⋊C4—28no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4C2×#4114yes—
1468C4⋊C4C2×#4114yes—
1469C4⋊C4C2×#4118yes—
1470C4⋊C4C2×#4114yes—
1471C4⋊C4C2×#4118yes—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—22no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—28no—
1495C22⋊C4—28no—
1496C22⋊C4—22no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—41no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4C2×#4118yes—
1540C42—24no—
1541C42—28no—
1542C42—24no—
1543C42—22no—
1544C42—24no—
1545C42—28no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—24no—
1560C42—42no—
1561C42—42no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—42no—
1566C42—42no—
1567C42—42no—
1568C42—42no—
1569C42—44no—
1570C42—41no—
1571C42—42no—
1572C42—42no—
1573C42—41no—
1574C42—42no—
1575C42—44no—
1576C42C2×#4114yes—
1577C42H(5,𝔽2)14yes—
1578C23—21no—
1579C23—22no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—21no—
1587C23—22no—
1588C23—21no—
1589C23—22no—
1590C23—24no—
1591C23—22no—
1592C23—21no—
1593C23—22no—
1594C23—21no—
1595C23—22no—
1596C23—22no—
1597C23—24no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—21no—
1603C23—22no—
1604C23—24no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—24no—
1611C23—24no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—21no—
1618C23C22×#4112yes—
1619C23C22×#4114yes—
1620C23C2611yescharacteristic
1621Q8—28no—
1622Q8—48no—
1623Q8—84no—
1624D4—28no—
1625D4—48no—
1626D4—48no—
1627D4—416no—
1628D4—44no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—48no—
1633D4—44no—
1634D4—48no—
1635D4—44no—
1636D4—48no—
1637D4—84no—
1638D4—88no—
1639D4—84no—
1640D4—88no—
1641D4—84no—
1642D4—88no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—164no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—28no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—44no—
1726C2×C4—48no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—84no—
1732C2×C4—88no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—84no—
1736C2×C4—82no—
1737C2×C4—88no—
1738C2×C4—88no—
1739C2×C4—88no—
1740C2×C4—84no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4C22×#4114yes—
1744C2×C4C22×#4114yes—
1745C2×C4C22×#4112yes—
1746C2×C4C22×#4112yes—
1747C2×C4C22×#4112yes—
1748C2×C4C22×#4114yes—
1749C2×C4C22×#4112yes—
1750C2×C4C22×#4112yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)14yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4#58512yes—
1757C2×C4#58512yes—
1758C22—22no—
1759C22—24no—
1760C22—22no—
1761C22—24no—
1762C22—22no—
1763C22—24no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—44no—
1773C22—42no—
1774C22—41no—
1775C22—42no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—41no—
1786C22—42no—
1787C22—44no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—44no—
1792C22—41no—
1793C22—44no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—44no—
1799C22—41no—
1800C22C23×#4111yescharacteristic
1801C22C23×#4111yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22H(7,𝔽2)11yescharacteristic
1807C4—22no—
1808C4—24no—
1809C4—24no—
1810C4—22no—
1811C4—24no—
1812C4—22no—
1813C4—22no—
1814C4—24no—
1815C4—22no—
1816C4—42no—
1817C4—44no—
1818C4—41no—
1819C4—42no—
1820C4—42no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—44no—
1827C4—41no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4—41no—
1833C4—44no—
1834C4#351714yes—
1835C4#351914yes—
1836C2—42no—
1837C2—44no—
1838C2—82no—
1839C2—84no—
1840C2—82no—
1841C2—81no—
1842C2#41211yescharacteristic
1843C2C2×#351911yescharacteristic
1844C2C2×#351711yescharacteristic
1845C2#6292411yescharacteristic
1846C2#6298611yescharacteristic
1847C2#6299211yescharacteristic
1848C2#6302211yescharacteristic
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. #59699C2semidirect
2. #59680C2semidirect
3. #59680C2semidirect
4. #59677C2semidirect
5. #59548C2semidirect
6. #59102C2semidirect
7. #59056C2semidirect
8. #59051C2semidirect
9. #59051C2semidirect
10. #44260C2semidirect
11. #44130C2semidirect
12. #44122C2semidirect
13. #40153C2semidirect
14. #40150C2semidirect
15. #40009C2semidirect
16. #39996C2semidirect
17. #39246C2semidirect
18. #39237C2semidirect
19. #36556C2semidirect
20. #36551C2semidirect
21. #36498C2semidirect
22. #36415C2semidirect
23. #36411C2semidirect
24. #36315C2semidirect
25. #36259C2semidirect
26. #36149C2semidirect
27. #36141C2semidirect
28. #35719C2semidirect
29. #34977C2semidirect
30. #34937C2semidirect
31. #34934C2semidirect
32. #34330C2semidirect
33. #34323C2semidirect
34. C4×#553C2semidirect
35. C4×#550C2semidirect
903. #125#41semidirect
947. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596992
#596802
#596772
#595482
#591022
#590562
#590512
#442602
#441302
#441222
#401532
#401502
#400092
#399962
#392462
#392372
#365562
#365512
#364982
#364152
#364112
#363152
#362592
#361492
#361412
#357192
#349772
#349372
#349342
#343302
#343232
C4×#5532
C4×#5502