Finite Group Databasebeta

← #8425172

Subgroups — #8425172

Order 512.

4971 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59750C212yesmaximal, complemented
2#59419C211yesmaximal, characteristic, complemented
3#59242C211yesmaximal, characteristic, complemented
4#59213C211yesmaximal, characteristic, complemented
5#59058C212yesmaximal, complemented
6#58573C214yesmaximal, complemented
7#57940C214yesmaximal, complemented
8#53073C212yesmaximal, complemented
9#53064C212yesmaximal, complemented
10#53060C212yesmaximal, complemented
11#52983C212yesmaximal, complemented
12#52388C214yesmaximal, complemented
13#42593C212yesmaximal, complemented
14#42564C212yesmaximal, complemented
15#42518C212yesmaximal, complemented
16#42433C212yesmaximal, complemented
17#40578C214yesmaximal, complemented
18#39725C211yesmaximal, characteristic, complemented
19#39537C212yesmaximal, complemented
20#39525C212yesmaximal, complemented
21#39341C211yesmaximal, characteristic, complemented
22#39138C211yesmaximal, characteristic, complemented
23#38909C211yesmaximal, characteristic, complemented
24#38200C212yesmaximal, complemented
25#37784C212yesmaximal, complemented
26#37626C212yesmaximal, complemented
27#37622C211yesmaximal, characteristic, complemented
28#37621C211yesmaximal, characteristic, complemented
29#37513C212yesmaximal, complemented
30#36453C211yesmaximal, characteristic, complemented
31#36299C211yesmaximal, characteristic, complemented
32#36211C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#537C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×#529C2212yes—
45#2863C2212yes—
46#2859C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2855C2212yes—
50#2838C2214yes—
51#2838C2214yes—
52#2832C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2828C2214yes—
57#2828C2214yes—
58#2827C2214yes—
59#2825C2214yes—
60#2825C2214yes—
61#2815C2214yes—
62#2814C2214yes—
63#2813C2214yes—
64#2803C2214yes—
65#2797C2214yes—
66#2797C2214yes—
67#2787C2214yes—
68#2778C2214yes—
69#2771C2214yes—
70#2756C2214yes—
71#2756C2214yes—
72#2752C2214yes—
73#2751C2214yes—
74#2749C2214yes—
75#2749C2214yes—
76#2746C2214yes—
77#2746C2214yes—
78#2739C2214yes—
79#2737C2214yes—
80#2727C2214yes—
81#2723C2214yes—
82#2714C2214yes—
83#2714C2214yes—
84#2714C2214yes—
85#2711C2214yes—
86#2708C2214yes—
87#2708C2214yes—
88#2701C2214yes—
89#2699C2214yes—
90#2698C2214yes—
91#2696C2214yes—
92#2691C2214yes—
93#2691C2214yes—
94#2686C2214yes—
95#2676C2214yes—
96#2676C2214yes—
97#2675C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2671C2214yes—
101#2664C2214yes—
102#2662C2214yes—
103#2651C2214yes—
104#2635C2214yes—
105#2635C2214yes—
106#2635C2214yes—
107#2635C2214yes—
108#2631C2214yes—
109#2631C2214yes—
110#2628C2212yes—
111#2628C2212yes—
112#2625C2212yes—
113#2624C2214yes—
114#2624C2212yes—
115#2624C2212yes—
116#2621C2212yes—
117#2619C2212yes—
118#2619C2212yes—
119#2619C2212yes—
120#2619C2214yes—
121#2616C2212yes—
122#2615C2212yes—
123#2615C2212yes—
124#2592C2212yes—
125#2584C2212yes—
126#2582C2211yescharacteristic
127#2582C2211yescharacteristic
128#2580C2212yes—
129#2576C2214yes—
130#2572C2214yes—
131#2571C2212yes—
132#2562C2212yes—
133#2560C2212yes—
134#2559C2212yes—
135#2558C2212yes—
136#2557C2212yes—
137#2555C2214yes—
138#2554C2214yes—
139#2552C2211yescharacteristic
140#2550C2211yescharacteristic
141#2550C2211yescharacteristic
142#2548C2212yes—
143#2548C2211yescharacteristic
144#2545C2211yescharacteristic
145#2544C2211yescharacteristic
146#2544C2212yes—
147#2543C2214yes—
148#2541C2212yes—
149#2541C2212yes—
150#2541C2211yescharacteristic
151#2541C2212yes—
152#2540C2212yes—
153#2540C2211yescharacteristic
154#2540C2212yes—
155#2540C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2211yescharacteristic
158#2538C2211yescharacteristic
159#2537C2211yescharacteristic
160#2537C2212yes—
161#2537C2211yescharacteristic
162#2536C2211yescharacteristic
163#2535C2212yes—
164#2535C2211yescharacteristic
165#2535C2212yes—
166#2524C2214yes—
167#2521C2212yes—
168#2519C2212yes—
169#2518C2214yes—
170#2515C2214yes—
171#2514C2212yes—
172#2514C2212yes—
173#2513C2212yes—
174#2513C2212yes—
175#2512C2212yes—
176#2510C2214yes—
177#2509C2212yes—
178#2499C2212yes—
179#2496C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2494C2212yes—
183#2494C2212yes—
184#2492C2211yescharacteristic
185#2491C2212yes—
186#2491C2211yescharacteristic
187#2490C2212yes—
188#2490C2211yescharacteristic
189#2490C2212yes—
190#2490C2212yes—
191#2490C2212yes—
192#2489C2211yescharacteristic
193#2489C2212yes—
194#2486C2212yes—
195#2485C2212yes—
196#2476C2214yes—
197#2475C2214yes—
198#2474C2214yes—
199#2471C2214yes—
200#2468C2214yes—
201#2467C2214yes—
202#2464C2212yes—
203#2461C2212yes—
204#2460C2214yes—
205#2456C2214yes—
206#2454C2212yes—
207#2452C2212yes—
208#2447C2212yes—
209#2445C2212yes—
210#2445C2214yes—
211#2444C2214yes—
212#2442C2212yes—
213#2438C2214yes—
214#2432C2212yes—
215#2431C2212yes—
216#2431C2212yes—
217#2431C2212yes—
218#2429C2211yescharacteristic
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2211yescharacteristic
223#2428C2212yes—
224#2428C2212yes—
225#2428C2214yes—
226#2427C2212yes—
227#2427C2211yescharacteristic
228#2427C2212yes—
229#2426C2212yes—
230#2426C2211yescharacteristic
231#2421C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2214yes—
239#2416C2212yes—
240#2416C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2214yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2396C2212yes—
253#2395C2212yes—
254#2392C2212yes—
255#2392C2214yes—
256#2388C2212yes—
257#2370C2212yes—
258#2363C2212yes—
259#2363C2214yes—
260#2363C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2360C2212yes—
264#2357C2212yes—
265#2355C2211yescharacteristic
266#2355C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269#2347C2212yes—
270#2345C2212yes—
271#2344C2212yes—
272#2339C2212yes—
273#2339C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2318C2214yes—
277#2311C2212yes—
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2212yes—
290#2297C2212yes—
291#2293C2212yes—
292#2293C2212yes—
293#2293C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#553—48no—
303#550—44no—
304#550—44no—
305#537—48no—
306#533—44no—
307#532—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2314yes—
317#529—44no—
318#529—44no—
319#529—48no—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2314yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2311yescharacteristic
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2314yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2312yes—
419C2×#117C2314yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2312yes—
425#401C2314yes—
426#401C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#395C2314yes—
487#395C2312yes—
488#395C2312yes—
489#395C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
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#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#393C2312yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2312yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2312yes—
543#392C2314yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2312yes—
557#392C2314yes—
558#392C2314yes—
559#391C2312yes—
560#391C2311yescharacteristic
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2314yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
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#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#383C2314yes—
733#383C2314yes—
734#383C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C4⋊Q8—42no—
875C4⋊Q8—42no—
876C4⋊Q8—42no—
877#127—24no—
878#127—44no—
879#127—42no—
880#127—44no—
881#127—44no—
882#127—84no—
883#126—44no—
884#126—44no—
885#126—48no—
886#126—48no—
887#125—28no—
888#125—42no—
889#125—42no—
890#125—44no—
891#125—82no—
892#124—44no—
893#124—44no—
894#124—42no—
895#124—42no—
896#124—42no—
897#124—42no—
898#124—44no—
899#124—84no—
900#123—44no—
901#123—44no—
902#123—48no—
903#123—48no—
904C22⋊Q8—24no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—42no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—42no—
911C22⋊Q8—42no—
912C22⋊Q8—42no—
913C22⋊Q8—42no—
914C22⋊Q8—44no—
915#121—28no—
916#121—24no—
917#121—44no—
918#121—48no—
919#121—44no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—42no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—42no—
933#121—42no—
934#121—42no—
935#121—42no—
936#121—44no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—48no—
941#121—44no—
942#121—84no—
943#121—82no—
944#121—84no—
945#121—82no—
946C4×Q8—24no—
947C4×Q8—24no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—44no—
951C4×Q8—42no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—42no—
956C4×D4—44no—
957C4×D4—42no—
958C4×D4—42no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—42no—
967C4×D4—48no—
968C4×D4—44no—
969C4×D4—42no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—48no—
975C4×D4—84no—
976#117—44no—
977#117—44no—
978#117—44no—
979#117—48no—
980#117—44no—
981#117—44no—
982#117—84no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—44no—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2411yescharacteristic
1152#95C2414yes—
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2511yescharacteristic
1206C24C2512yes—
1207C24C2512yes—
1208C24C2514yes—
1209C24C2512yes—
1210C24C2511yescharacteristic
1211#41—816no—
1212#41—816no—
1213#41—816no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—28no—
1328C22×C4—28no—
1329C22×C4—24no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2514yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2514yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2514yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—24no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—28no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4H(5,𝔽2)14yes—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
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—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—24no—
1520C42—24no—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—24no—
1528C42—24no—
1529C42—22no—
1530C42—42no—
1531C42—42no—
1532C42—44no—
1533C42—44no—
1534C42—42no—
1535C42—44no—
1536C42—44no—
1537C42—42no—
1538C42—41no—
1539C42H(5,𝔽2)14yes—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—21no—
1550C23—24no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—21no—
1555C23—22no—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23—24no—
1566C23—24no—
1567C23—22no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—24no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23C2611yescharacteristic
1583Q8—44no—
1584Q8—44no—
1585Q8—44no—
1586Q8—84no—
1587Q8—84no—
1588D4—44no—
1589D4—44no—
1590D4—48no—
1591D4—44no—
1592D4—44no—
1593D4—48no—
1594D4—88no—
1595D4—84no—
1596D4—84no—
1597D4—88no—
1598D4—84no—
1599D4—88no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—88no—
1604D4—88no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—88no—
1609D4—164no—
1610D4—164no—
1611D4—164no—
1612D4—164no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—48no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—84no—
1699C2×C4—88no—
1700C2×C4—88no—
1701C2×C4—82no—
1702C2×C4—82no—
1703C2×C4—84no—
1704C2×C4—88no—
1705C2×C4—88no—
1706C2×C4—164no—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4C2×H(5,𝔽2)14yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4#58512yes—
1713C2×C4#58512yes—
1714C2×C4#58512yes—
1715C2×C4#58512yes—
1716C22—42no—
1717C22—41no—
1718C22—41no—
1719C22—44no—
1720C22—42no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—42no—
1725C22—41no—
1726C22—44no—
1727C22—42no—
1728C22—41no—
1729C22—41no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—41no—
1744C22—44no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—42no—
1749C22—44no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—41no—
1755C22—44no—
1756C22—41no—
1757C22—42no—
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C22×H(5,𝔽2)11yescharacteristic
1760C22C2×#58511yescharacteristic
1761C22C2×#58511yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22C2×#58511yescharacteristic
1764C22H(7,𝔽2)11yescharacteristic
1765C4—22no—
1766C4—24no—
1767C4—22no—
1768C4—41no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4—41no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—42no—
1780C4—42no—
1781C4—44no—
1782C4—41no—
1783C4—42no—
1784C4—44no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—44no—
1792C4#354614yes—
1793C4#355114yes—
1794C2—82no—
1795C2—81no—
1796C2—81no—
1797C2—84no—
1798C2—82no—
1799C2—82no—
1800C2C2×#355111yescharacteristic
1801C2C2×#354611yescharacteristic
1802C2#6276211yescharacteristic
1803C2#6292011yescharacteristic
1804C2#6293011yescharacteristic
1805C2#6296911yescharacteristic
1806C2#6301911yescharacteristic
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. #59750C2semidirect
2. #59419C2semidirect
3. #59242C2semidirect
4. #59213C2semidirect
5. #59058C2semidirect
6. #58573C2semidirect
7. #57940C2semidirect
8. #53073C2semidirect
9. #53064C2semidirect
10. #53060C2semidirect
11. #52983C2semidirect
12. #52388C2semidirect
13. #42593C2semidirect
14. #42564C2semidirect
15. #42518C2semidirect
16. #42433C2semidirect
17. #40578C2semidirect
18. #39725C2semidirect
19. #39537C2semidirect
20. #39525C2semidirect
21. #39341C2semidirect
22. #39138C2semidirect
23. #38909C2semidirect
24. #38200C2semidirect
25. #37784C2semidirect
26. #37626C2semidirect
27. #37622C2semidirect
28. #37621C2semidirect
29. #37513C2semidirect
30. #36453C2semidirect
31. #36299C2semidirect
32. #36211C2semidirect
33. #34934C2semidirect
34. #34919C2semidirect
35. #34889C2semidirect

Maximal subgroups

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

subgroupindex
#597502
#594192
#592422
#592132
#590582
#585732
#579402
#530732
#530642
#530602
#529832
#523882
#425932
#425642
#425182
#424332
#405782
#397252
#395372
#395252
#393412
#391382
#389092
#382002
#377842
#376262
#376222
#376212
#375132
#364532
#362992
#362112
#349342
#349192
#348892