Finite Group Databasebeta

← #7806310

Subgroups — #7806310

Order 512.

5252 conjugacy classes of subgroups.

The subgroup lattice has 1717 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59815C211yesmaximal, characteristic, complemented
3#59693C212yesmaximal, complemented
4#59550C212yesmaximal, complemented
5#59510C212yesmaximal, complemented
6#59466C211yesmaximal, characteristic, complemented
7#59446C212yesmaximal, complemented
8#59445C211yesmaximal, characteristic, complemented
9#59442C211yesmaximal, characteristic, complemented
10#59377C212yesmaximal, complemented
11#59312C211yesmaximal, characteristic, complemented
12#59305C211yesmaximal, characteristic, complemented
13#59278C212yesmaximal, complemented
14#59213C212yesmaximal, complemented
15#59039C211yesmaximal, characteristic, complemented
16#59039C211yesmaximal, characteristic, complemented
17#47655C214yesmaximal, complemented
18#47536C214yesmaximal, complemented
19#42591C212yesmaximal, complemented
20#42580C212yesmaximal, complemented
21#42577C212yesmaximal, complemented
22#42576C212yesmaximal, complemented
23#42368C214yesmaximal, complemented
24#37637C211yesmaximal, characteristic, complemented
25#35998C212yesmaximal, complemented
26#35882C212yesmaximal, complemented
27#35858C212yesmaximal, complemented
28#35807C214yesmaximal, complemented
29#35772C212yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34941C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34207C211yesmaximal, characteristic, complemented
36C2×#553C2214yes—
37C2×#552C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#547C2212yes—
41C2×#532C2211yescharacteristic
42C2×#520C2212yes—
43C2×#520C2212yes—
44#2831C2214yes—
45#2827C2214yes—
46#2826C2214yes—
47#2790C2214yes—
48#2781C2214yes—
49#2774C2214yes—
50#2761C2214yes—
51#2751C2214yes—
52#2748C2214yes—
53#2747C2214yes—
54#2746C2214yes—
55#2743C2214yes—
56#2743C2214yes—
57#2721C2214yes—
58#2711C2214yes—
59#2708C2214yes—
60#2708C2214yes—
61#2707C2214yes—
62#2706C2214yes—
63#2703C2214yes—
64#2694C2214yes—
65#2693C2214yes—
66#2693C2214yes—
67#2691C2214yes—
68#2686C2214yes—
69#2686C2214yes—
70#2682C2214yes—
71#2649C2214yes—
72#2647C2212yes—
73#2646C2214yes—
74#2644C2212yes—
75#2637C2214yes—
76#2636C2214yes—
77#2630C2214yes—
78#2629C2212yes—
79#2625C2212yes—
80#2623C2214yes—
81#2618C2214yes—
82#2609C2214yes—
83#2609C2214yes—
84#2601C2214yes—
85#2601C2214yes—
86#2598C2214yes—
87#2597C2214yes—
88#2579C2214yes—
89#2579C2214yes—
90#2576C2214yes—
91#2575C2214yes—
92#2574C2214yes—
93#2570C2212yes—
94#2570C2212yes—
95#2569C2214yes—
96#2567C2211yescharacteristic
97#2567C2211yescharacteristic
98#2566C2212yes—
99#2566C2212yes—
100#2566C2212yes—
101#2563C2211yescharacteristic
102#2563C2211yescharacteristic
103#2562C2212yes—
104#2558C2214yes—
105#2553C2214yes—
106#2552C2211yescharacteristic
107#2552C2212yes—
108#2552C2212yes—
109#2552C2211yescharacteristic
110#2541C2212yes—
111#2538C2211yescharacteristic
112#2538C2211yescharacteristic
113#2537C2212yes—
114#2537C2212yes—
115#2537C2212yes—
116#2533C2212yes—
117#2531C2212yes—
118#2528C2212yes—
119#2526C2212yes—
120#2515C2214yes—
121#2514C2211yescharacteristic
122#2513C2212yes—
123#2513C2211yescharacteristic
124#2512C2212yes—
125#2512C2212yes—
126#2511C2212yes—
127#2508C2212yes—
128#2508C2212yes—
129#2508C2212yes—
130#2507C2211yescharacteristic
131#2507C2212yes—
132#2506C2212yes—
133#2506C2211yescharacteristic
134#2505C2214yes—
135#2502C2212yes—
136#2501C2212yes—
137#2498C2214yes—
138#2497C2212yes—
139#2497C2212yes—
140#2497C2211yescharacteristic
141#2496C2212yes—
142#2496C2211yescharacteristic
143#2490C2211yescharacteristic
144#2489C2212yes—
145#2489C2211yescharacteristic
146#2486C2212yes—
147#2486C2212yes—
148#2485C2212yes—
149#2485C2214yes—
150#2484C2214yes—
151#2478C2212yes—
152#2476C2212yes—
153#2475C2212yes—
154#2473C2214yes—
155#2473C2214yes—
156#2473C2214yes—
157#2471C2212yes—
158#2471C2214yes—
159#2468C2214yes—
160#2468C2214yes—
161#2467C2214yes—
162#2464C2214yes—
163#2462C2214yes—
164#2460C2214yes—
165#2458C2214yes—
166#2456C2214yes—
167#2454C2212yes—
168#2454C2211yescharacteristic
169#2454C2212yes—
170#2454C2212yes—
171#2454C2212yes—
172#2454C2212yes—
173#2453C2211yescharacteristic
174#2446C2212yes—
175#2446C2211yescharacteristic
176#2445C2212yes—
177#2445C2212yes—
178#2445C2212yes—
179#2445C2212yes—
180#2445C2212yes—
181#2445C2211yescharacteristic
182#2444C2214yes—
183#2443C2214yes—
184#2443C2214yes—
185#2443C2214yes—
186#2442C2214yes—
187#2442C2212yes—
188#2441C2212yes—
189#2430C2214yes—
190#2430C2214yes—
191#2429C2211yescharacteristic
192#2428C2212yes—
193#2428C2211yescharacteristic
194#2428C2212yes—
195#2423C2212yes—
196#2423C2212yes—
197#2422C2212yes—
198#2422C2212yes—
199#2421C2211yescharacteristic
200#2420C2214yes—
201#2420C2212yes—
202#2420C2211yescharacteristic
203#2420C2212yes—
204#2419C2214yes—
205#2419C2214yes—
206#2417C2212yes—
207#2416C2214yes—
208#2413C2214yes—
209#2407C2212yes—
210#2407C2212yes—
211#2407C2212yes—
212#2407C2212yes—
213#2402C2212yes—
214#2401C2212yes—
215#2396C2214yes—
216#2395C2212yes—
217#2392C2214yes—
218#2392C2212yes—
219C2×#398C2214yes—
220#2370C2212yes—
221#2366C2212yes—
222#2366C2211yescharacteristic
223#2366C2212yes—
224#2366C2211yescharacteristic
225#2364C2214yes—
226#2363C2212yes—
227#2361C2212yes—
228#2361C2214yes—
229#2361C2212yes—
230#2361C2212yes—
231#2361C2212yes—
232#2361C2212yes—
233#2361C2212yes—
234#2359C2214yes—
235#2359C2214yes—
236#2357C2212yes—
237#2357C2212yes—
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2212yes—
243#2352C2212yes—
244#2352C2214yes—
245Q8×C4⋊C4C2211yescharacteristic
246#2349C2212yes—
247#2349C2212yes—
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2212yes—
256#2344C2212yes—
257#2341C2212yes—
258#2339C2212yes—
259#2339C2212yes—
260#2339C2212yes—
261#2333C2214yes—
262#2328C2212yes—
263#2326C2212yes—
264#2326C2212yes—
265#2324C2214yes—
266#2324C2212yes—
267#2311C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#127C2212yes—
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2212yes—
279C4×#126C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288#2297C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2293C2212yes—
293#2285C2212yes—
294C2×#384C2211yescharacteristic
295#2275C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#553—416no—
303#552—48no—
304#550—28no—
305#550—28no—
306#547—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2314yes—
349C2×#121C2314yes—
350#520—48no—
351#520—48no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2314yes—
402C22×C4⋊C4C2314yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2314yes—
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407#401C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#395C2314yes—
484#395C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2312yes—
504#393C2314yes—
505#393C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2311yescharacteristic
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#383C2312yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2314yes—
723#382C2314yes—
724#382C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
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⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862#127—28no—
863#127—28no—
864#127—42no—
865#127#4118yes—
866#126—28no—
867#126—48no—
868#126—48no—
869#125—24no—
870#125—44no—
871#125—42no—
872#125—44no—
873#125—44no—
874#125—48no—
875#125—48no—
876#124—28no—
877#123—44no—
878#123—48no—
879#123—48no—
880#123—48no—
881#123—48no—
882#123—48no—
883#123—48no—
884#123—48no—
885C22⋊Q8—28no—
886C22⋊Q8—24no—
887C22⋊Q8—42no—
888C22⋊Q8—44no—
889#121—28no—
890#121—28no—
891#121—28no—
892#121—28no—
893#121—216no—
894#121—216no—
895#121—24no—
896#121—28no—
897#121—48no—
898#121—48no—
899#121—48no—
900#121—42no—
901#121—48no—
902C4×Q8—24no—
903C4×Q8—28no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—42no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—216no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—48no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—48no—
937C4×D4—48no—
938C4×D4—48no—
939#117—24no—
940#117—48no—
941#117—44no—
942#117—48no—
943#117—48no—
944#117—48no—
945#117—42no—
946#117—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—48no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—48no—
951C2×C4⋊C4—48no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—48no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C42—24no—
1083C2×C42—44no—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24C2512yes—
1188C24C2512yes—
1189C24C2514yes—
1190C24C2511yescharacteristic
1191#41—432no—
1192#41—432no—
1193#41—816no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8H(5,𝔽2)14yes—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—28no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4C2×#4118yes—
1243C2×D4C2×#4118yes—
1244C2×D4C2×#4118yes—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—28no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C42−1+414yes—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4H(5,𝔽2)14yes—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—28no—
1459C42—24no—
1460C42—22no—
1461C42—24no—
1462C42—28no—
1463C42—24no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—42no—
1475C42—42no—
1476C42—41no—
1477C42—41no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42—42no—
1482C42—42no—
1483C42C2×#4114yes—
1484C23—21no—
1485C23—21no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—21no—
1490C23—21no—
1491C23—24no—
1492C23—21no—
1493C23—24no—
1494C23—24no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23C22×#4118yes—
1511C23C2×H(5,𝔽2)12yes—
1512C23C2611yescharacteristic
1513Q8—28no—
1514Q8—48no—
1515Q8—44no—
1516D4—216no—
1517D4—216no—
1518D4—48no—
1519D4—48no—
1520D4—416no—
1521D4—416no—
1522D4—44no—
1523D4—44no—
1524D4—84no—
1525D4—84no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—84no—
1530C2×C4—28no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—48no—
1613C2×C4—416no—
1614C2×C4—416no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—44no—
1619C2×C4—88no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—84no—
1624C2×C4—164no—
1625C2×C4—164no—
1626C2×C4—164no—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)14yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×2−1+414yes—
1635C2×C4C2×2−1+412yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C2×C4#58512yes—
1639C22—22no—
1640C22—22no—
1641C22—28no—
1642C22—22no—
1643C22—28no—
1644C22—28no—
1645C22—44no—
1646C22—44no—
1647C22—41no—
1648C22—41no—
1649C22—44no—
1650C22—41no—
1651C22—41no—
1652C22—44no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22C23×#4111yescharacteristic
1668C22C22×H(5,𝔽2)11yescharacteristic
1669C22C22×H(5,𝔽2)11yescharacteristic
1670C22C22×2−1+411yescharacteristic
1671C22C2×#58511yescharacteristic
1672C22C2×#58511yescharacteristic
1673C22C2×#58511yescharacteristic
1674C4—22no—
1675C4—24no—
1676C4—22no—
1677C4—24no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—42no—
1682C4—44no—
1683C4—44no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—44no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4#351314yes—
1704C4#351514yes—
1705C2—42no—
1706C2—48no—
1707C2—82no—
1708C2—82no—
1709C2C2×#351311yescharacteristic
1710C2#6277311yescharacteristic
1711C2C2×#351511yescharacteristic
1712C2#6301311yescharacteristic
1713C2#6301411yescharacteristic
1714C2#6303111yescharacteristic
1715C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59962C2semidirect
2. #59815C2semidirect
3. #59693C2semidirect
4. #59550C2semidirect
5. #59510C2semidirect
6. #59466C2semidirect
7. #59446C2semidirect
8. #59445C2semidirect
9. #59442C2semidirect
10. #59377C2semidirect
11. #59312C2semidirect
12. #59305C2semidirect
13. #59278C2semidirect
14. #59213C2semidirect
15. #59039C2semidirect
16. #59039C2semidirect
17. #47655C2semidirect
18. #47536C2semidirect
19. #42591C2semidirect
20. #42580C2semidirect
21. #42577C2semidirect
22. #42576C2semidirect
23. #42368C2semidirect
24. #37637C2semidirect
25. #35998C2semidirect
26. #35882C2semidirect
27. #35858C2semidirect
28. #35807C2semidirect
29. #35772C2semidirect
30. #34975C2semidirect
31. #34970C2semidirect
32. #34941C2semidirect
33. #34330C2semidirect
34. #34313C2semidirect
35. #34207C2semidirect

Maximal subgroups

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

subgroupindex
#599622
#598152
#596932
#595502
#595102
#594662
#594462
#594452
#594422
#593772
#593122
#593052
#592782
#592132
#590392
#476552
#475362
#425912
#425802
#425772
#425762
#423682
#376372
#359982
#358822
#358582
#358072
#357722
#349752
#349702
#349412
#343302
#343132
#342072