Finite Group Databasebeta

← #7986156

Subgroups — #7986156

Order 512.

4603 conjugacy classes of subgroups.

The subgroup lattice has 1611 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59647C211yesmaximal, characteristic
3#59504C212yesmaximal, complemented
4#59428C212yesmaximal, complemented
5#59428C211yesmaximal, characteristic, complemented
6#50569C214yesmaximal, complemented
7#49439C214yesmaximal, complemented
8#45934C214yesmaximal, complemented
9#45359C212yesmaximal, complemented
10#45193C212yesmaximal, complemented
11#45156C212yesmaximal, complemented
12#45155C212yesmaximal, complemented
13#42904C212yesmaximal, complemented
14#42833C212yesmaximal, complemented
15#42705C212yesmaximal, complemented
16#42702C212yesmaximal, complemented
17#40257C214yesmaximal, complemented
18#39746C211yesmaximal, characteristic, complemented
19#39744C211yesmaximal, characteristic, complemented
20#39740C212yesmaximal, complemented
21#39641C211yesmaximal, characteristic, complemented
22#39202C211yesmaximal, characteristic
23#39080C212yesmaximal, complemented
24#36597C211yesmaximal, characteristic
25#36594C211yesmaximal, characteristic, complemented
26#36298C212yesmaximal, complemented
27#36271C211yesmaximal, characteristic, complemented
28#36271C212yesmaximal, complemented
29#35216C212yesmaximal, complemented
30#35188C212yesmaximal, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34902C211yesmaximal, characteristic, complemented
33#34498C211yesmaximal, characteristic, complemented
34#34481C211yesmaximal, characteristic, complemented
35C4×#557C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#556C2212yes—
40C2×#556C2212yes—
41C2×#556C2212yes—
42#2868C2211yescharacteristic
43#2866C2214yes—
44#2865C2214yes—
45#2860C2214yes—
46#2860C2212yes—
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2858C2211yescharacteristic
50#2837C2214yes—
51#2836C2214yes—
52#2802C2214yes—
53#2797C2214yes—
54#2797C2214yes—
55#2793C2214yes—
56#2791C2214yes—
57#2791C2214yes—
58#2790C2214yes—
59#2786C2214yes—
60#2783C2214yes—
61#2782C2214yes—
62#2781C2214yes—
63#2777C2214yes—
64#2773C2214yes—
65#2768C2214yes—
66#2765C2214yes—
67#2752C2214yes—
68#2750C2214yes—
69#2748C2214yes—
70#2743C2214yes—
71#2741C2214yes—
72#2740C2214yes—
73#2738C2214yes—
74#2732C2214yes—
75#2732C2214yes—
76#2727C2214yes—
77#2727C2214yes—
78#2721C2214yes—
79#2721C2214yes—
80#2694C2214yes—
81#2694C2214yes—
82#2689C2214yes—
83#2689C2214yes—
84#2689C2214yes—
85#2667C2214yes—
86#2658C2212yes—
87#2658C2212yes—
88#2654C2214yes—
89#2654C2214yes—
90#2651C2214yes—
91#2650C2214yes—
92#2649C2214yes—
93#2647C2212yes—
94#2624C2212yes—
95#2601C2214yes—
96#2601C2214yes—
97#2601C2214yes—
98#2600C2214yes—
99#2596C2212yes—
100#2595C2214yes—
101#2594C2212yes—
102#2594C2214yes—
103#2592C2211yescharacteristic
104#2592C2212yes—
105#2590C2214yes—
106#2587C2214yes—
107#2585C2212yes—
108#2585C2212yes—
109#2582C2211yescharacteristic
110#2581C2211yescharacteristic
111#2581C2212yes—
112#2579C2214yes—
113#2577C2214yes—
114#2575C2214yes—
115#2574C2214yes—
116#2573C2214yes—
117#2573C2214yes—
118#2570C2212yes—
119#2570C2211yescharacteristic
120#2568C2211yescharacteristic
121#2560C2214yes—
122#2560C2214yes—
123#2560C2214yes—
124#2554C2214yes—
125#2554C2214yes—
126#2552C2211yescharacteristic
127#2548C2212yes—
128#2548C2211yescharacteristic
129#2547C2211yescharacteristic
130#2547C2212yes—
131#2547C2212yes—
132#2546C2212yes—
133#2546C2211yescharacteristic
134#2546C2211yescharacteristic
135#2546C2212yes—
136#2546C2211yescharacteristic
137#2546C2211yescharacteristic
138#2546C2212yes—
139#2546C2212yes—
140#2545C2211yescharacteristic
141#2545C2212yes—
142#2545C2212yes—
143#2545C2212yes—
144#2545C2212yes—
145#2545C2212yes—
146#2545C2212yes—
147#2544C2212yes—
148#2544C2212yes—
149#2544C2212yes—
150#2541C2211yescharacteristic
151#2538C2212yes—
152#2538C2212yes—
153#2525C2212yes—
154#2525C2214yes—
155#2522C2214yes—
156#2516C2214yes—
157#2514C2211yescharacteristic
158#2513C2212yes—
159#2512C2212yes—
160#2512C2211yescharacteristic
161#2512C2212yes—
162#2512C2214yes—
163#2512C2212yes—
164#2512C2212yes—
165#2512C2212yes—
166#2511C2212yes—
167#2511C2212yes—
168#2509C2212yes—
169#2509C2211yescharacteristic
170#2509C2211yescharacteristic
171#2507C2212yes—
172#2507C2212yes—
173#2507C2212yes—
174#2504C2212yes—
175#2496C2214yes—
176#2496C2212yes—
177#2496C2214yes—
178#2496C2212yes—
179#2490C2212yes—
180#2490C2212yes—
181#2481C2214yes—
182#2479C2214yes—
183#2479C2214yes—
184#2479C2214yes—
185#2479C2214yes—
186#2478C2214yes—
187#2478C2214yes—
188#2478C2214yes—
189#2469C2212yes—
190#2468C2214yes—
191#2454C2212yes—
192#2454C2212yes—
193#2453C2211yescharacteristic
194#2453C2211yescharacteristic
195#2452C2214yes—
196#2452C2212yes—
197#2448C2212yes—
198#2448C2212yes—
199#2448C2212yes—
200#2448C2211yescharacteristic
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2446C2211yescharacteristic
209#2446C2212yes—
210#2441C2212yes—
211#2441C2212yes—
212#2440C2214yes—
213#2440C2212yes—
214#2426C2212yes—
215#2426C2212yes—
216#2423C2212yes—
217#2423C2212yes—
218#2420C2212yes—
219#2420C2212yes—
220#2402C2212yes—
221#2402C2212yes—
222#2401C2212yes—
223#2396C2212yes—
224#2383C2214yes—
225#2376C2214yes—
226#2370C2214yes—
227#2370C2212yes—
228#2370C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2366C2211yescharacteristic
234#2366C2212yes—
235#2365C2212yes—
236#2365C2211yescharacteristic
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2363C2212yes—
240#2363C2212yes—
241#2361C2212yes—
242#2360C2212yes—
243#2355C2211yescharacteristic
244#2355C2212yes—
245#2354C2212yes—
246#2354C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254#2347C2212yes—
255#2344C2214yes—
256#2344C2212yes—
257#2334C2214yes—
258#2330C2212yes—
259#2327C2212yes—
260#2326C2212yes—
261#2326C2212yes—
262#2326C2212yes—
263#2326C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2322C2214yes—
267#2320C2212yes—
268#2319C2212yes—
269#2319C2212yes—
270#2317C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2214yes—
280C4×#125C2212yes—
281C4×#125C2211yescharacteristic
282C4×#126C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×#124C2211yescharacteristic
286#2298C2212yes—
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2214yes—
293#2293C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×Q8C2211yescharacteristic
298C42×Q8C2212yes—
299#559—28no—
300#557—28no—
301#556—28no—
302#556—48no—
303#556—48no—
304#556—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#126C2314yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2314yes—
385#401C2312yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#395C2314yes—
474#395C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#393C2314yes—
485#393C2312yes—
486#392C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2311yescharacteristic
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2314yes—
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2312yes—
718#384C2314yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#383C2312yes—
724#383C2314yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2314yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C4⋊Q8—24no—
835C4⋊Q8—28no—
836C4⋊Q8—24no—
837C4⋊Q8—42no—
838C4⋊Q8—44no—
839C4⋊Q8—42no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845#127—24no—
846#127—44no—
847#126—216no—
848#126—48no—
849#126—48no—
850#126—48no—
851#126—44no—
852#126—48no—
853#126—48no—
854#126—48no—
855#125—28no—
856#125—216no—
857#125—24no—
858#125—24no—
859#124—28no—
860#124—28no—
861#124—28no—
862#124—24no—
863#124—28no—
864#124—44no—
865#124—44no—
866#124—42no—
867#124—44no—
868#124—44no—
869#124—44no—
870#123—216no—
871C22⋊Q8—28no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875#121—28no—
876#121—44no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×Q8—42no—
890C4×Q8—42no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8#4118yes—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—48no—
907#117—28no—
908#117—44no—
909#117—48no—
910#117—48no—
911#117—48no—
912C2×C4⋊C4—48no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24C2512yes—
1160C24C2514yes—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—41no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8C2×#4114yes—
1182C2×D4—22no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—28no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4C2×#4114yes—
1329C4⋊C4C2×#4118yes—
1330C4⋊C42−1+414yes—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C42—28no—
1373C42—24no—
1374C42—28no—
1375C42—24no—
1376C42—28no—
1377C42—24no—
1378C42—22no—
1379C42—24no—
1380C42—24no—
1381C42—22no—
1382C42—24no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—24no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—24no—
1393C42—22no—
1394C42—22no—
1395C42—41no—
1396C42—42no—
1397C42—42no—
1398C42—41no—
1399C42—41no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—41no—
1405C42—44no—
1406C42—41no—
1407C42—42no—
1408C42—44no—
1409C42—42no—
1410C42—42no—
1411C42—42no—
1412C42C2×#4118yes—
1413C42C2×#4114yes—
1414C42H(5,𝔽2)14yes—
1415C23—22no—
1416C23—24no—
1417C23—24no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—22no—
1422C23—24no—
1423C23—24no—
1424C23—24no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23C2611yescharacteristic
1430Q8—28no—
1431Q8—44no—
1432Q8—44no—
1433Q8—48no—
1434Q8—48no—
1435Q8—44no—
1436Q8—84no—
1437D4—48no—
1438D4—44no—
1439D4—48no—
1440D4—84no—
1441D4—88no—
1442D4—164no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—48no—
1530C2×C4—88no—
1531C2×C4—88no—
1532C2×C4—88no—
1533C2×C4—88no—
1534C2×C4C22×#4114yes—
1535C2×C4C22×#4114yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C22×#4112yes—
1539C2×C4C2×H(5,𝔽2)12yes—
1540C2×C4C2×H(5,𝔽2)12yes—
1541C2×C4C2×H(5,𝔽2)12yes—
1542C2×C4C2×2−1+414yes—
1543C2×C4C2×2−1+412yes—
1544C2×C4#58512yes—
1545C2×C4#58512yes—
1546C2×C4#58512yes—
1547C22—44no—
1548C22—42no—
1549C22—44no—
1550C22—42no—
1551C22—42no—
1552C22—44no—
1553C22—42no—
1554C22—44no—
1555C22—42no—
1556C22—44no—
1557C22—44no—
1558C22—42no—
1559C22—42no—
1560C22—44no—
1561C22C23×#4111yescharacteristic
1562C22C22×H(5,𝔽2)11yescharacteristic
1563C22C22×2−1+411yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22C2×#58511yescharacteristic
1566C22C2×#58511yescharacteristic
1567C222−1+611yescharacteristic
1568C4—24no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—24no—
1573C4—24no—
1574C4—22no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—44no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—42no—
1587C4—44no—
1588C4—44no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—42no—
1593C4—41no—
1594C4—42no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—42no—
1599C4#350714yes—
1600C4#351714yes—
1601C2—84no—
1602C2—82no—
1603C2#6274811yescharacteristic
1604C2C2×#350711yescharacteristic
1605C2C2×#351711yescharacteristic
1606C2#6294611yescharacteristic
1607C2#6296811yescharacteristic
1608C2#6299511yescharacteristic
1609C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59681C2semidirect
3. #59504C2semidirect
4. #59428C2semidirect
5. #59428C2semidirect
6. #50569C2semidirect
7. #49439C2semidirect
8. #45934C2semidirect
9. #45359C2semidirect
10. #45193C2semidirect
11. #45156C2semidirect
12. #45155C2semidirect
13. #42904C2semidirect
14. #42833C2semidirect
15. #42705C2semidirect
16. #42702C2semidirect
17. #40257C2semidirect
18. #39746C2semidirect
19. #39744C2semidirect
20. #39740C2semidirect
21. #39641C2semidirect
23. #39080C2semidirect
25. #36594C2semidirect
26. #36298C2semidirect
27. #36271C2semidirect
28. #36271C2semidirect
29. #35216C2semidirect
30. #35188C2semidirect
31. #34951C2semidirect
32. #34902C2semidirect
33. #34498C2semidirect
34. #34481C2semidirect
35. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#596472
#595042
#594282
#505692
#494392
#459342
#453592
#451932
#451562
#451552
#429042
#428332
#427052
#427022
#402572
#397462
#397442
#397402
#396412
#392022
#390802
#365972
#365942
#362982
#362712
#352162
#351882
#349512
#349022
#344982
#344812
C4×#5572