Finite Group Databasebeta

← #8429374

Subgroups — #8429374

Order 512.

5001 conjugacy classes of subgroups.

The subgroup lattice has 1799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59770C212yesmaximal, complemented
2#59702C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59056C211yesmaximal, characteristic, complemented
5#59051C211yesmaximal, characteristic, complemented
6#54723C214yesmaximal, complemented
7#54698C214yesmaximal, complemented
8#53078C212yesmaximal, complemented
9#53063C212yesmaximal, complemented
10#53063C212yesmaximal, complemented
11#53059C212yesmaximal, complemented
12#52333C214yesmaximal, complemented
13#42885C212yesmaximal, complemented
14#42674C212yesmaximal, complemented
15#42471C212yesmaximal, complemented
16#42464C212yesmaximal, complemented
17#40550C214yesmaximal, complemented
18#39554C212yesmaximal, complemented
19#39537C212yesmaximal, complemented
20#39533C212yesmaximal, complemented
21#39491C211yesmaximal, characteristic, complemented
22#39479C211yesmaximal, characteristic, complemented
23#39054C212yesmaximal, complemented
24#38986C211yesmaximal, characteristic, complemented
25#38922C211yesmaximal, characteristic, complemented
26#37626C212yesmaximal, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37616C211yesmaximal, characteristic, complemented
29#37498C212yesmaximal, complemented
30#36404C211yesmaximal, characteristic, complemented
31#36272C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2212yes—
39C2×#550C2212yes—
40C2×#547C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2862C2211yescharacteristic
46#2859C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2829C2214yes—
51#2828C2214yes—
52#2828C2214yes—
53#2828C2214yes—
54#2828C2214yes—
55#2826C2214yes—
56#2826C2214yes—
57#2825C2214yes—
58#2825C2214yes—
59#2825C2214yes—
60#2818C2214yes—
61#2818C2214yes—
62#2813C2214yes—
63#2813C2214yes—
64#2801C2214yes—
65#2797C2214yes—
66#2796C2214yes—
67#2796C2214yes—
68#2796C2214yes—
69#2789C2214yes—
70#2786C2214yes—
71#2783C2214yes—
72#2778C2214yes—
73#2778C2214yes—
74#2771C2214yes—
75#2758C2214yes—
76#2757C2214yes—
77#2757C2214yes—
78#2754C2214yes—
79#2749C2214yes—
80#2733C2214yes—
81#2727C2214yes—
82#2725C2214yes—
83#2715C2214yes—
84#2714C2214yes—
85#2711C2214yes—
86#2711C2214yes—
87#2710C2214yes—
88#2710C2214yes—
89#2709C2214yes—
90#2709C2214yes—
91#2707C2214yes—
92#2705C2214yes—
93#2705C2214yes—
94#2702C2214yes—
95#2691C2214yes—
96#2688C2214yes—
97#2673C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2672C2214yes—
101#2649C2214yes—
102#2648C2214yes—
103#2645C2212yes—
104#2644C2212yes—
105#2641C2212yes—
106#2636C2214yes—
107#2636C2214yes—
108#2636C2214yes—
109#2635C2214yes—
110#2635C2214yes—
111#2630C2214yes—
112#2630C2214yes—
113#2624C2212yes—
114#2624C2212yes—
115#2624C2214yes—
116#2624C2212yes—
117#2620C2212yes—
118#2620C2212yes—
119#2620C2212yes—
120#2620C2212yes—
121#2619C2212yes—
122#2619C2214yes—
123#2619C2212yes—
124#2611C2214yes—
125#2610C2214yes—
126#2608C2214yes—
127#2598C2214yes—
128#2578C2214yes—
129#2576C2214yes—
130#2571C2212yes—
131#2570C2212yes—
132#2568C2211yescharacteristic
133#2567C2211yescharacteristic
134#2566C2212yes—
135#2563C2211yescharacteristic
136#2562C2212yes—
137#2559C2214yes—
138#2559C2214yes—
139#2553C2214yes—
140#2552C2211yescharacteristic
141#2548C2211yescharacteristic
142#2544C2212yes—
143#2542C2211yescharacteristic
144#2541C2212yes—
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2541C2212yes—
149#2541C2212yes—
150#2541C2211yescharacteristic
151#2538C2211yescharacteristic
152#2537C2212yes—
153#2535C2212yes—
154#2535C2212yes—
155#2531C2212yes—
156#2529C2212yes—
157#2518C2212yes—
158#2518C2214yes—
159#2514C2212yes—
160#2514C2212yes—
161#2514C2212yes—
162#2512C2212yes—
163#2512C2212yes—
164#2512C2211yescharacteristic
165#2510C2214yes—
166#2509C2212yes—
167#2507C2211yescharacteristic
168#2504C2212yes—
169#2500C2212yes—
170#2500C2211yescharacteristic
171#2500C2212yes—
172#2496C2212yes—
173#2496C2212yes—
174#2495C2211yescharacteristic
175#2490C2211yescharacteristic
176#2489C2212yes—
177#2485C2212yes—
178#2485C2214yes—
179#2485C2212yes—
180#2485C2211yescharacteristic
181#2479C2212yes—
182#2471C2212yes—
183#2470C2214yes—
184#2467C2212yes—
185#2467C2212yes—
186#2466C2214yes—
187#2466C2214yes—
188#2464C2214yes—
189#2457C2214yes—
190#2456C2214yes—
191#2456C2214yes—
192#2456C2212yes—
193#2454C2211yescharacteristic
194#2454C2212yes—
195#2453C2212yes—
196#2448C2211yescharacteristic
197#2447C2212yes—
198#2447C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2441C2212yes—
202#2441C2212yes—
203#2441C2211yescharacteristic
204#2441C2211yescharacteristic
205#2431C2211yescharacteristic
206#2431C2212yes—
207#2431C2212yes—
208#2431C2214yes—
209#2428C2212yes—
210#2428C2212yes—
211#2428C2214yes—
212#2428C2212yes—
213#2428C2211yescharacteristic
214#2427C2212yes—
215#2427C2212yes—
216#2427C2212yes—
217#2427C2212yes—
218#2426C2212yes—
219#2425C2214yes—
220#2423C2211yescharacteristic
221#2422C2212yes—
222#2422C2212yes—
223#2420C2212yes—
224#2420C2212yes—
225#2420C2212yes—
226#2420C2214yes—
227#2416C2212yes—
228#2416C2212yes—
229#2416C2212yes—
230#2415C2212yes—
231#2415C2212yes—
232#2415C2212yes—
233#2415C2212yes—
234#2415C2212yes—
235#2414C2212yes—
236#2414C2212yes—
237#2414C2212yes—
238#2414C2212yes—
239#2414C2211yescharacteristic
240#2414C2212yes—
241#2414C2211yescharacteristic
242#2407C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2397C2212yes—
253#2395C2212yes—
254#2392C2212yes—
255#2392C2212yes—
256#2388C2214yes—
257#2369C2211yescharacteristic
258#2366C2212yes—
259#2365C2211yescharacteristic
260#2364C2214yes—
261#2363C2212yes—
262#2363C2212yes—
263#2361C2212yes—
264#2360C2212yes—
265#2360C2212yes—
266#2354C2211yescharacteristic
267#2352C2212yes—
268#2349C2212yes—
269D4×C4⋊C4C2211yescharacteristic
270#2339C2212yes—
271#2339C2212yes—
272#2320C2212yes—
273#2318C2214yes—
274#2317C2212yes—
275#2316C2212yes—
276#2314C2212yes—
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#125C2211yescharacteristic
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2297C2212yes—
291#2295C2211yescharacteristic
292#2293C2212yes—
293#2293C2211yescharacteristic
294#2293C2212yes—
295#2290C2212yes—
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303#555—44no—
304#553—48no—
305#552—48no—
306#550—48no—
307#547—44no—
308#532—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2314yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2314yes—
319#529—44no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C4×#41—44no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419#401C2314yes—
420#401C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2312yes—
437#399C2312yes—
438#399C2312yes—
439#399C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#395C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2314yes—
526#393C2314yes—
527#392C2314yes—
528#392C2312yes—
529#392C2312yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2312yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2311yescharacteristic
564#391C2312yes—
565#391C2314yes—
566#391C2311yescharacteristic
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2314yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2314yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#384C2312yes—
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2312yes—
740#384C2312yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#383C2312yes—
744#383C2314yes—
745#383C2314yes—
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2314yes—
752#382C2314yes—
753#382C2312yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—44no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—82no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877#127—24no—
878#127—42no—
879#127—44no—
880#127—44no—
881#127—48no—
882#127—44no—
883#127—84no—
884#126—44no—
885#126—44no—
886#126—48no—
887#126—48no—
888#126—84no—
889#125—24no—
890#125—42no—
891#125—48no—
892#125—44no—
893#124—44no—
894#124—42no—
895#124—44no—
896#124—44no—
897#124—48no—
898#123—48no—
899#123—44no—
900#123—48no—
901#123—48no—
902#123—84no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—42no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—82no—
910#121—24no—
911#121—28no—
912#121—44no—
913#121—48no—
914#121—48no—
915#121—48no—
916#121—44no—
917#121—42no—
918#121—44no—
919#121—42no—
920#121—44no—
921#121—44no—
922#121—42no—
923#121—42no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—48no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—84no—
934#121—84no—
935C4×Q8—28no—
936C4×Q8—24no—
937C4×Q8—42no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—48no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—42no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—82no—
965C4×D4—84no—
966#117—24no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—48no—
971#117—44no—
972#117—42no—
973#117—42no—
974#117—44no—
975#117—44no—
976#117—44no—
977C2×C4⋊C4—28no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—44no—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24C2511yescharacteristic
1202C24C2512yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2514yes—
1206C24C2511yescharacteristic
1207#41—416no—
1208#41—816no—
1209#41—816no—
1210#41—816no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—42no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
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—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—28no—
1320C22×C4—24no—
1321C22×C4—28no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—41no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4H(5,𝔽2)14yes—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—24no—
1512C42—24no—
1513C42—28no—
1514C42—22no—
1515C42—24no—
1516C42—24no—
1517C42—22no—
1518C42—24no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—24no—
1523C42—42no—
1524C42—42no—
1525C42—42no—
1526C42—44no—
1527C42—44no—
1528C42—41no—
1529C42—42no—
1530C42—41no—
1531C42—44no—
1532C42H(5,𝔽2)14yes—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—24no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—21no—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—24no—
1556C23—21no—
1557C23—22no—
1558C23—24no—
1559C23—24no—
1560C23—21no—
1561C23—21no—
1562C23—22no—
1563C23—21no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—24no—
1573C23—22no—
1574C23—21no—
1575C23C2611yescharacteristic
1576Q8—44no—
1577Q8—48no—
1578Q8—84no—
1579D4—48no—
1580D4—44no—
1581D4—48no—
1582D4—44no—
1583D4—48no—
1584D4—44no—
1585D4—48no—
1586D4—44no—
1587D4—88no—
1588D4—84no—
1589D4—88no—
1590D4—84no—
1591D4—88no—
1592D4—88no—
1593D4—84no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—88no—
1599D4—88no—
1600D4—88no—
1601D4—164no—
1602D4—164no—
1603D4—164no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—21no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—44no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—48no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—44no—
1691C2×C4—88no—
1692C2×C4—84no—
1693C2×C4—82no—
1694C2×C4—88no—
1695C2×C4—88no—
1696C2×C4—88no—
1697C2×C4—164no—
1698C2×C4C2×H(5,𝔽2)14yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4#58512yes—
1704C2×C4#58512yes—
1705C2×C4#58512yes—
1706C2×C4#58512yes—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—42no—
1712C22—44no—
1713C22—41no—
1714C22—42no—
1715C22—41no—
1716C22—42no—
1717C22—42no—
1718C22—44no—
1719C22—41no—
1720C22—41no—
1721C22—42no—
1722C22—44no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—44no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—41no—
1731C22—42no—
1732C22—44no—
1733C22—42no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—41no—
1738C22—44no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—44no—
1748C22—41no—
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C22×H(5,𝔽2)11yescharacteristic
1751C22C2×#58511yescharacteristic
1752C22C2×#58511yescharacteristic
1753C22C2×#58511yescharacteristic
1754C22C2×#58511yescharacteristic
1755C22H(7,𝔽2)11yescharacteristic
1756C4—24no—
1757C4—22no—
1758C4—22no—
1759C4—41no—
1760C4—42no—
1761C4—41no—
1762C4—42no—
1763C4—41no—
1764C4—42no—
1765C4—42no—
1766C4—41no—
1767C4—44no—
1768C4—41no—
1769C4—42no—
1770C4—42no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—44no—
1775C4—41no—
1776C4—42no—
1777C4—41no—
1778C4—42no—
1779C4—44no—
1780C4—42no—
1781C4—41no—
1782C4—42no—
1783C4#353914yes—
1784C4#354614yes—
1785C2—82no—
1786C2—81no—
1787C2—81no—
1788C2—82no—
1789C2—82no—
1790C2—84no—
1791C2C2×#353911yescharacteristic
1792C2C2×#354611yescharacteristic
1793C2#6276211yescharacteristic
1794C2#6292011yescharacteristic
1795C2#6292411yescharacteristic
1796C2#6293711yescharacteristic
1797C2#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. #59770C2semidirect
2. #59702C2semidirect
3. #59680C2semidirect
4. #59056C2semidirect
5. #59051C2semidirect
6. #54723C2semidirect
7. #54698C2semidirect
8. #53078C2semidirect
9. #53063C2semidirect
10. #53063C2semidirect
11. #53059C2semidirect
12. #52333C2semidirect
13. #42885C2semidirect
14. #42674C2semidirect
15. #42471C2semidirect
16. #42464C2semidirect
17. #40550C2semidirect
18. #39554C2semidirect
19. #39537C2semidirect
20. #39533C2semidirect
21. #39491C2semidirect
22. #39479C2semidirect
23. #39054C2semidirect
24. #38986C2semidirect
25. #38922C2semidirect
26. #37626C2semidirect
27. #37625C2semidirect
28. #37616C2semidirect
29. #37498C2semidirect
30. #36404C2semidirect
31. #36272C2semidirect
32. #36149C2semidirect
33. #34977C2semidirect
34. #34797C2semidirect
35. #34727C2semidirect

Maximal subgroups

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

subgroupindex
#597702
#597022
#596802
#590562
#590512
#547232
#546982
#530782
#530632
#530592
#523332
#428852
#426742
#424712
#424642
#405502
#395542
#395372
#395332
#394912
#394792
#390542
#389862
#389222
#376262
#376252
#376162
#374982
#364042
#362722
#361492
#349772
#347972
#347272