Finite Group Databasebeta

← #7968154

Subgroups — #7968154

Order 512.

4974 conjugacy classes of subgroups.

The subgroup lattice has 1765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59904C212yesmaximal, complemented
2#59754C212yesmaximal, complemented
3#59419C211yesmaximal, characteristic, complemented
4#59249C211yesmaximal, characteristic, complemented
5#59228C211yesmaximal, characteristic, complemented
6#49395C214yesmaximal, complemented
7#47916C214yesmaximal, complemented
8#46084C212yesmaximal, complemented
9#45518C212yesmaximal, complemented
10#45401C212yesmaximal, complemented
11#45399C212yesmaximal, complemented
12#44073C214yesmaximal, complemented
13#42893C212yesmaximal, complemented
14#42883C212yesmaximal, complemented
15#41087C214yesmaximal, complemented
16#40131C212yesmaximal, complemented
17#40117C212yesmaximal, complemented
18#39794C212yesmaximal, complemented
19#39725C211yesmaximal, characteristic, complemented
20#39537C212yesmaximal, complemented
21#39052C212yesmaximal, complemented
22#38978C211yesmaximal, characteristic, complemented
23#36590C211yesmaximal, characteristic, complemented
24#36576C211yesmaximal, characteristic, complemented
25#36537C212yesmaximal, complemented
26#36410C211yesmaximal, characteristic, complemented
27#36410C211yesmaximal, characteristic, complemented
28#36211C211yesmaximal, characteristic, complemented
29#35186C211yesmaximal, characteristic, complemented
30#35179C211yesmaximal, characteristic, complemented
31#35038C212yesmaximal, complemented
32#34976C211yesmaximal, characteristic, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34474C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#548C2212yes—
40C2×#533C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44#2861C2212yes—
45#2861C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2855C2212yes—
52#2855C2212yes—
53#2854C2212yes—
54#2854C2212yes—
55#2828C2214yes—
56#2815C2214yes—
57#2797C2214yes—
58#2797C2214yes—
59#2796C2214yes—
60#2795C2214yes—
61#2795C2214yes—
62#2782C2214yes—
63#2778C2214yes—
64#2777C2214yes—
65#2775C2214yes—
66#2772C2214yes—
67#2771C2214yes—
68#2767C2214yes—
69#2756C2214yes—
70#2753C2214yes—
71#2753C2214yes—
72#2753C2214yes—
73#2753C2214yes—
74#2752C2214yes—
75#2750C2214yes—
76#2749C2214yes—
77#2737C2214yes—
78#2737C2214yes—
79#2733C2214yes—
80#2730C2214yes—
81#2730C2214yes—
82#2728C2214yes—
83#2714C2214yes—
84#2714C2214yes—
85#2711C2214yes—
86#2699C2214yes—
87#2688C2214yes—
88#2686C2214yes—
89#2676C2214yes—
90#2663C2214yes—
91#2662C2214yes—
92#2651C2214yes—
93#2648C2214yes—
94#2644C2212yes—
95#2635C2214yes—
96#2635C2214yes—
97#2627C2214yes—
98#2619C2212yes—
99#2609C2214yes—
100#2602C2214yes—
101#2600C2214yes—
102#2597C2214yes—
103#2596C2214yes—
104#2595C2214yes—
105#2595C2214yes—
106#2594C2214yes—
107#2593C2214yes—
108#2582C2211yescharacteristic
109#2582C2211yescharacteristic
110#2582C2211yescharacteristic
111#2582C2211yescharacteristic
112#2581C2212yes—
113#2581C2212yes—
114#2580C2212yes—
115#2578C2214yes—
116#2576C2214yes—
117#2575C2214yes—
118#2573C2214yes—
119#2568C2212yes—
120#2567C2212yes—
121#2565C2214yes—
122#2562C2212yes—
123#2559C2214yes—
124#2552C2211yescharacteristic
125#2548C2212yes—
126#2548C2211yescharacteristic
127#2548C2212yes—
128#2548C2211yescharacteristic
129#2543C2214yes—
130#2540C2212yes—
131#2538C2212yes—
132#2538C2211yescharacteristic
133#2538C2211yescharacteristic
134#2537C2211yescharacteristic
135#2535C2212yes—
136#2525C2214yes—
137#2521C2214yes—
138#2518C2214yes—
139#2515C2214yes—
140#2514C2212yes—
141#2513C2212yes—
142#2513C2212yes—
143#2513C2212yes—
144#2512C2214yes—
145#2512C2212yes—
146#2511C2212yes—
147#2510C2214yes—
148#2509C2212yes—
149#2509C2212yes—
150#2500C2212yes—
151#2499C2212yes—
152#2496C2212yes—
153#2496C2212yes—
154#2495C2212yes—
155#2495C2212yes—
156#2494C2212yes—
157#2493C2214yes—
158#2491C2212yes—
159#2490C2212yes—
160#2490C2212yes—
161#2490C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2485C2212yes—
165#2485C2212yes—
166#2478C2214yes—
167#2477C2212yes—
168#2476C2214yes—
169#2476C2214yes—
170#2475C2212yes—
171#2468C2214yes—
172#2467C2214yes—
173#2464C2214yes—
174#2464C2214yes—
175#2463C2212yes—
176#2461C2214yes—
177#2460C2212yes—
178#2456C2214yes—
179#2454C2212yes—
180#2452C2211yescharacteristic
181#2448C2212yes—
182#2448C2212yes—
183#2447C2212yes—
184#2446C2211yescharacteristic
185#2445C2212yes—
186#2445C2212yes—
187#2441C2212yes—
188#2439C2211yescharacteristic
189#2432C2212yes—
190#2432C2211yescharacteristic
191#2431C2212yes—
192#2431C2212yes—
193#2431C2212yes—
194#2431C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2427C2211yescharacteristic
198#2426C2214yes—
199#2426C2212yes—
200#2422C2214yes—
201#2421C2212yes—
202#2421C2212yes—
203#2421C2211yescharacteristic
204#2420C2212yes—
205#2420C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2416C2214yes—
209#2416C2212yes—
210#2415C2211yescharacteristic
211#2414C2212yes—
212#2414C2212yes—
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2211yescharacteristic
223#2398C2212yes—
224#2392C2214yes—
225#2392C2212yes—
226#2379C2214yes—
227#2377C2214yes—
228#2374C2214yes—
229#2370C2212yes—
230#2368C2214yes—
231#2367C2212yes—
232#2367C2212yes—
233#2367C2212yes—
234#2367C2211yescharacteristic
235#2363C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2362C2211yescharacteristic
240#2362C2212yes—
241#2362C2212yes—
242#2361C2212yes—
243#2361C2211yescharacteristic
244#2357C2212yes—
245#2357C2214yes—
246#2355C2211yescharacteristic
247#2355C2212yes—
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic
250#2354C2212yes—
251#2352C2212yes—
252#2352C2211yescharacteristic
253#2351C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255#2347C2212yes—
256#2347C2212yes—
257#2341C2212yes—
258#2341C2211yescharacteristic
259Q8×C22⋊C4C2211yescharacteristic
260#2339C2212yes—
261#2339C2212yes—
262#2337C2214yes—
263#2335C2214yes—
264#2333C2214yes—
265#2332C2214yes—
266#2326C2212yes—
267#2324C2212yes—
268#2320C2212yes—
269#2319C2212yes—
270#2318C2214yes—
271#2317C2212yes—
272#2310C2212yes—
273C4×#127C2211yescharacteristic
274C4×#125C2212yes—
275C4×#124C2212yes—
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290#2297C2212yes—
291#2297C2212yes—
292#2295C2211yescharacteristic
293#2290C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304#550—44no—
305#550—44no—
306#548—28no—
307#548—216no—
308#533—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C4×#41—44no—
357C4×#41—44no—
358C2×C4×Q8—44no—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2312yes—
410C22×C42C2312yes—
411#401C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2312yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2312yes—
491#393C2312yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#384C2311yescharacteristic
716#384C2314yes—
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#383C2314yes—
722#383C2314yes—
723#383C2314yes—
724#382C2311yescharacteristic
725#382C2314yes—
726#382C2314yes—
727#382C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2312yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8—42no—
831C22×Q8—42no—
832C22×Q8#4118yescomplemented
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C4⋊Q8—42no—
874C4⋊Q8—42no—
875#127—24no—
876#127—44no—
877#127—44no—
878#126—84no—
879#126—84no—
880#125—44no—
881#125—44no—
882#125—44no—
883#124—24no—
884#124—28no—
885#124—28no—
886#124—216no—
887#124—44no—
888#124—42no—
889#124—84no—
890#123—48no—
891#123—48no—
892C22⋊Q8—24no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—216no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—42no—
900C22⋊Q8—42no—
901C22⋊Q8—42no—
902#121—24no—
903#121—28no—
904#121—28no—
905#121—216no—
906#121—44no—
907#121—48no—
908#121—48no—
909#121—42no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—84no—
918#121—84no—
919#121—82no—
920C4×Q8—28no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—42no—
930C4×Q8—42no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—42no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—216no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—84no—
955C4×D4—82no—
956#117—44no—
957#117—44no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—42no—
963#117—42no—
964#117—82no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C42—24no—
1092C2×C42—24no—
1093C2×C42—44no—
1094C2×C42—44no—
1095C2×C42—44no—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2514yes—
1199C24C2511yescharacteristic
1200#41—416no—
1201#41—416no—
1202#41—816no—
1203#41—816no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—416no—
1220C2×Q8C2×#4114yes—
1221C2×Q8C2×#4114yes—
1222C2×Q8C2×#4118yes—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—41no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—28no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4C2×#4114yes—
1324C22×C4C2×#4118yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—41no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—22no—
1429C22⋊C4—28no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C42—28no—
1480C42—24no—
1481C42—22no—
1482C42—24no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—22no—
1494C42—22no—
1495C42—24no—
1496C42—22no—
1497C42—42no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—42no—
1503C42—44no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—41no—
1508C42—42no—
1509C42—41no—
1510C42—42no—
1511C42—44no—
1512C42—42no—
1513C42H(5,𝔽2)14yes—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—24no—
1522C23—22no—
1523C23—21no—
1524C23—22no—
1525C23—22no—
1526C23—21no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—22no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—24no—
1546C23—22no—
1547C23—22no—
1548C23C22×#4112yes—
1549C23C2611yescharacteristic
1550Q8—28no—
1551Q8—28no—
1552Q8—48no—
1553Q8—44no—
1554Q8—44no—
1555Q8—84no—
1556D4—48no—
1557D4—44no—
1558D4—48no—
1559D4—48no—
1560D4—44no—
1561D4—48no—
1562D4—44no—
1563D4—48no—
1564D4—84no—
1565D4—88no—
1566D4—84no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—164no—
1571D4—164no—
1572D4—164no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—28no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—48no—
1657C2×C4—44no—
1658C2×C4—48no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—48no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—82no—
1665C2×C4—88no—
1666C2×C4—84no—
1667C2×C4—88no—
1668C2×C4—164no—
1669C2×C4C22×#4114yes—
1670C2×C4C22×#4114yes—
1671C2×C4C22×#4112yes—
1672C2×C4C22×#4112yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4#58512yes—
1677C2×C4#58512yes—
1678C2×C4#58512yes—
1679C2×C4#58512yes—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22—42no—
1698C22—44no—
1699C22—41no—
1700C22—44no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—42no—
1705C22—44no—
1706C22—42no—
1707C22—41no—
1708C22—42no—
1709C22—42no—
1710C22—44no—
1711C22—44no—
1712C22—42no—
1713C22—42no—
1714C22—41no—
1715C22C23×#4111yescharacteristic
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22H(7,𝔽2)11yescharacteristic
1722C4—22no—
1723C4—24no—
1724C4—24no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—44no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—44no—
1739C4—42no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4—41no—
1749C4—44no—
1750C4#350514yes—
1751C4#354014yes—
1752C2—42no—
1753C2—82no—
1754C2—81no—
1755C2—82no—
1756C2—84no—
1757C2C2×#354011yescharacteristic
1758C2C2×#350511yescharacteristic
1759C2#6279311yescharacteristic
1760C2#6295711yescharacteristic
1761C2#6296911yescharacteristic
1762C2#6300611yescharacteristic
1763C2#6303611yescharacteristic
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. #59904C2semidirect
2. #59754C2semidirect
3. #59419C2semidirect
4. #59249C2semidirect
5. #59228C2semidirect
6. #49395C2semidirect
7. #47916C2semidirect
8. #46084C2semidirect
9. #45518C2semidirect
10. #45401C2semidirect
11. #45399C2semidirect
12. #44073C2semidirect
13. #42893C2semidirect
14. #42883C2semidirect
15. #41087C2semidirect
16. #40131C2semidirect
17. #40117C2semidirect
18. #39794C2semidirect
19. #39725C2semidirect
20. #39537C2semidirect
21. #39052C2semidirect
22. #38978C2semidirect
23. #36590C2semidirect
24. #36576C2semidirect
25. #36537C2semidirect
26. #36410C2semidirect
27. #36410C2semidirect
28. #36211C2semidirect
29. #35186C2semidirect
30. #35179C2semidirect
31. #35038C2semidirect
32. #34976C2semidirect
33. #34720C2semidirect
34. #34474C2semidirect
35. C4×#548C2semidirect
832. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599042
#597542
#594192
#592492
#592282
#493952
#479162
#460842
#455182
#454012
#453992
#440732
#428932
#428832
#410872
#401312
#401172
#397942
#397252
#395372
#390522
#389782
#365902
#365762
#365372
#364102
#362112
#351862
#351792
#350382
#349762
#347202
#344742
C4×#5482