Finite Group Databasebeta

← #7648434

Subgroups — #7648434

Order 512.

4853 conjugacy classes of subgroups.

The subgroup lattice has 1745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42948C212yesmaximal, complemented
2#42924C212yesmaximal, complemented
3#42922C212yesmaximal, complemented
4#42921C212yesmaximal, complemented
5#42190C214yesmaximal, complemented
6#42010C214yesmaximal, complemented
7#39604C212yesmaximal, complemented
8#39476C212yesmaximal, complemented
9#39155C212yesmaximal, complemented
10#38929C212yesmaximal, complemented
11#38109C214yesmaximal
12#37880C214yesmaximal, complemented
13#37504C212yesmaximal, complemented
14#37503C212yesmaximal, complemented
15#37407C212yesmaximal, complemented
16#37403C212yesmaximal, complemented
17#37347C212yesmaximal, complemented
18#37342C212yesmaximal, complemented
19#35672C211yesmaximal, characteristic, complemented
20#35668C211yesmaximal, characteristic, complemented
21#35544C211yesmaximal, characteristic, complemented
22#35543C211yesmaximal, characteristic, complemented
23#35313C211yesmaximal, characteristic, complemented
24#35311C211yesmaximal, characteristic, complemented
25#35311C211yesmaximal, characteristic, complemented
26#35265C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#35224C211yesmaximal, characteristic, complemented
29#35026C212yesmaximal, complemented
30#35017C212yesmaximal, complemented
31#34809C211yesmaximal, characteristic
32C2×#2417C211yesmaximal, characteristic
33#34203C211yesmaximal, characteristic, complemented
34D4×#117C211yesmaximal, characteristic
35C2×#2317C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C2×#519C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2211yescharacteristic
42C22×#117C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C23×C4⋊C4C2211yescharacteristic
45#2864C2212yescomplemented
46#2863C2212yescomplemented
47#2863C2212yescomplemented
48#2859C2212yescomplemented
49#2857C2212yescomplemented
50#2855C2212yescomplemented
51#2855C2212yescomplemented
52#2855C2212yescomplemented
53#2855C2212yescomplemented
54#2851C2212yescomplemented
55#2848C2214yes—
56#2839C2214yescomplemented
57#2839C2214yescomplemented
58#2838C2214yescomplemented
59#2836C2214yescomplemented
60#2796C2214yes—
61#2794C2214yescomplemented
62#2793C2214yescomplemented
63#2792C2214yescomplemented
64#2791C2214yescomplemented
65#2791C2214yescomplemented
66#2790C2214yescomplemented
67#2789C2214yescomplemented
68#2787C2214yescomplemented
69#2787C2214yescomplemented
70#2786C2214yes—
71#2783C2214yescomplemented
72#2782C2214yes—
73#2775C2214yescomplemented
74#2770C2214yescomplemented
75#2770C2214yescomplemented
76#2769C2214yescomplemented
77#2767C2214yescomplemented
78#2767C2214yescomplemented
79#2765C2214yescomplemented
80#2757C2214yes—
81#2750C2214yes—
82#2747C2214yescomplemented
83#2747C2214yescomplemented
84#2746C2214yes—
85#2744C2214yescomplemented
86#2728C2214yes—
87#2723C2214yes—
88#2721C2214yescomplemented
89#2720C2214yescomplemented
90#2690C2214yescomplemented
91#2690C2214yescomplemented
92#2667C2214yescomplemented
93#2666C2214yescomplemented
94#2666C2214yescomplemented
95#2664C2214yescomplemented
96#2655C2214yescomplemented
97#2655C2214yescomplemented
98#2654C2214yescomplemented
99#2652C2214yescomplemented
100#2647C2212yescomplemented
101#2647C2212yescomplemented
102#2646C2214yescomplemented
103#2645C2212yescomplemented
104#2645C2212yescomplemented
105#2643C2214yes—
106#2629C2212yescomplemented
107#2628C2212yescomplemented
108#2627C2214yes—
109#2627C2214yescomplemented
110#2625C2212yescomplemented
111#2625C2212yescomplemented
112#2625C2212yescomplemented
113#2625C2212yescomplemented
114#2623C2214yes—
115#2585C2214yescomplemented
116#2585C2214yescomplemented
117#2573C2214yescomplemented
118#2571C2212yescomplemented
119#2570C2212yescomplemented
120#2570C2212yescomplemented
121#2568C2212yescomplemented
122#2567C2212yescomplemented
123#2565C2212yescomplemented
124#2565C2212yescomplemented
125#2556C2214yescomplemented
126#2552C2212yescomplemented
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2511C2212yescomplemented
130#2511C2212yescomplemented
131#2509C2212yescomplemented
132#2509C2212yescomplemented
133#2508C2212yescomplemented
134#2508C2212yescomplemented
135#2507C2212yescomplemented
136#2507C2212yescomplemented
137#2506C2212yescomplemented
138#2506C2212yescomplemented
139#2505C2214yes—
140#2505C2214yes—
141#2503C2212yescomplemented
142#2503C2212yescomplemented
143#2502C2212yescomplemented
144#2502C2212yescomplemented
145#2499C2212yescomplemented
146#2499C2212yescomplemented
147#2499C2212yescomplemented
148#2499C2212yescomplemented
149#2497C2212yescomplemented
150#2497C2212yescomplemented
151#2496C2212yescomplemented
152#2496C2212yescomplemented
153#2495C2212yescomplemented
154#2495C2212yescomplemented
155#2494C2212yescomplemented
156#2494C2212yescomplemented
157#2493C2214yes—
158#2493C2214yes—
159#2493C2214yes—
160#2493C2214yescomplemented
161#2493C2214yescomplemented
162#2488C2214yes—
163#2487C2211yescharacteristic
164#2487C2211yescharacteristic
165#2486C2211yescharacteristic
166#2486C2211yescharacteristic
167#2485C2211yescharacteristic
168#2485C2211yescharacteristic
169#2485C2211yescharacteristic
170#2485C2211yescharacteristic
171#2484C2214yes—
172#2484C2214yes—
173#2484C2212yes—
174#2484C2214yes—
175#2483C2214yes—
176#2483C2214yes—
177#2483C2212yes—
178#2482C2212yes—
179#2482C2214yes—
180#2481C2214yes—
181#2480C2214yes—
182#2473C2214yes—
183#2473C2214yes—
184#2473C2214yescomplemented
185#2473C2214yescomplemented
186#2453C2212yescomplemented
187#2453C2212yescomplemented
188#2451C2212yescomplemented
189#2451C2212yescomplemented
190#2449C2214yes—
191#2442C2212yescomplemented
192#2442C2212yescomplemented
193#2442C2212yescomplemented
194#2442C2212yescomplemented
195#2442C2212yescomplemented
196#2441C2212yescomplemented
197#2440C2212yescomplemented
198#2440C2212yescomplemented
199#2440C2212yescomplemented
200#2440C2212yescomplemented
201#2440C2212yescomplemented
202#2439C2212yescomplemented
203#2438C2214yes—
204#2438C2214yes—
205#2438C2214yes—
206#2437C2214yes—
207#2423C2212yescomplemented
208#2423C2212yescomplemented
209#2423C2212yescomplemented
210#2423C2212yescomplemented
211#2421C2212yescomplemented
212#2421C2212yescomplemented
213#2421C2212yescomplemented
214#2421C2212yescomplemented
215#2419C2214yes—
216#2417C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2417C2212yes—
222#2417C2212yes—
223#2417C2212yes—
224#2405C2212yes—
225#2395C2212yes—
226#2395C2212yes—
227C2×#398C2212yes—
228C2×#396C2212yes—
229#2362C2212yescomplemented
230#2362C2212yescomplemented
231#2360C2212yescomplemented
232#2360C2212yescomplemented
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2352C2211yescharacteristic
236#2352C2211yescharacteristic
237#2352C2211yescharacteristic
238#2352C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2344C2214yes—
242#2344C2212yes—
243#2342C2212yes—
244#2342C2212yes—
245#2342C2214yes—
246D4×C22⋊C4C2212yes—
247#2329C2214yescomplemented
248#2323C2212yescomplemented
249#2323C2212yescomplemented
250#2322C2214yes—
251#2318C2214yes—
252#2317C2214yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2212yescomplemented
262#2317C2212yescomplemented
263#2317C2212yescomplemented
264#2317C2212yescomplemented
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2313C2214yescomplemented
268#2310C2211yescharacteristic
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#123C2212yes—
274C4×#123C2212yes—
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277C2×#391C2211yescharacteristic
278#2293C2212yes—
279C2×#389C2211yescharacteristic
280C2×#389C2212yescomplemented
281C2×#389C2212yescomplemented
282#2290C2212yes—
283#2290C2212yes—
284C2×#386C2212yes—
285C2×#385C2214yes—
286#2285C2211yescharacteristic
287C2×#384C2212yescomplemented
288C2×#382C2212yescomplemented
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295C2×#380C2212yes—
296#2274C2211yescharacteristic
297C42×D4C2212yes—
298C4×#117C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#544—44no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×C22⋊Q8—28no—
315C2×C22⋊Q8—44no—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328#519—44no—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×D4—28no—
334C2×C4×D4C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×#117—28no—
345C2×#117—44no—
346C2×#117—44no—
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C22×C4⋊C4—44no—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2312yes—
400C22×C42C2312yes—
401#401C2314yes—
402#401C2314yes—
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2312yes—
438#399C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#397C2312yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#393C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#390C2312yes—
525#390C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2314yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#381C2312yes—
731#381C2312yes—
732#381C2312yes—
733#381C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2314yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#379C2312yes—
770#379C2312yes—
771#379C2312yes—
772#379C2312yes—
773#379C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2411yescharacteristic
821C22×Q8—24no—
822C22×Q8—24no—
823C22×Q8—24no—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—42no—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C23×C4—24no—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4—44no—
840C23×C4—44no—
841C23×C4—82no—
842C23×C4#4118yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2411yescharacteristic
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870#126—84no—
871#125—44no—
872#125—44no—
873#125—84no—
874#125—84no—
875#123—28no—
876#123—44no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—44no—
903#117—28no—
904#117—28no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—44no—
916#117—44no—
917#117—44no—
918#117—44no—
919#117—48no—
920#117—42no—
921#117—42no—
922#117—42no—
923#117—42no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—48no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—84no—
943C2×C4⋊C4—82no—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C22⋊C4—28no—
1022C2×C22⋊C4—24no—
1023C2×C22⋊C4—28no—
1024C2×C22⋊C4—24no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—44no—
1028C2×C22⋊C4—82no—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C42—28no—
1078C2×C42—24no—
1079C2×C42—44no—
1080C2×C42—44no—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24C2×#4114yes—
1199C24C2511yescharacteristic
1200C24C2511yescharacteristic
1201C24C2511yescharacteristic
1202C24C2511yescharacteristic
1203C24C2511yescharacteristic
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—416no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—416no—
1226C2×D42−1+414yes—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—232no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—41no—
1285C22×C4—44no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—41no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—416no—
1296C22×C4—816no—
1297C22×C4C2×#4114yes—
1298C22×C4C2×#4114yes—
1299C22×C4C2×#4114yes—
1300C22×C4C2×#4114yes—
1301C22×C4C2×#4114yes—
1302C22×C4C2×#4114yes—
1303C22×C4H(5,𝔽2)14yes—
1304C22×C42−1+414yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42—42no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—42no—
1485C42—44no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—28no—
1507C23—28no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—44no—
1524C23—82no—
1525C23—82no—
1526C23—82no—
1527C23C22×#4112yes—
1528C23C22×#4112yes—
1529C23C22×#4112yes—
1530C23C2×H(5,𝔽2)12yes—
1531C23C2×2−1+412yes—
1532C23C2×2−1+412yes—
1533C23C2×2−1+412yes—
1534C23#58512yes—
1535C23C2611yescharacteristic
1536Q8—48no—
1537Q8—48no—
1538Q8—164no—
1539D4—28no—
1540D4—44no—
1541D4—44no—
1542D4—44no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—28no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—28no—
1553C2×C4—28no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—82no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—88no—
1645C2×C4—84no—
1646C2×C4—84no—
1647C2×C4—88no—
1648C2×C4#539116yes—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×2−1+412yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4C2×2−1+412yes—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—416no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—88no—
1693C22C2×#53914yes—
1694C22#349514yes—
1695C22C23×#4111yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×2−1+411yescharacteristic
1698C22C22×2−1+411yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22H(7,𝔽2)11yescharacteristic
1701C222−1+611yescharacteristic
1702C4—22no—
1703C4—22no—
1704C4—22no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—44no—
1713C4—44no—
1714C4—42no—
1715C4—42no—
1716C4—44no—
1717C4—42no—
1718C4—42no—
1719C4—41no—
1720C4—41no—
1721C4—44no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4C2×#53914yes—
1731C4C2×#53914yes—
1732C2—24no—
1733C2—24no—
1734C2—42no—
1735C2—42no—
1736C2—81no—
1737C2C22×#53911yescharacteristic
1738C2C2×#349511yescharacteristic
1739C2#6285611yescharacteristic
1740C2#6292411yescharacteristic
1741C2#6292811yescharacteristic
1742C2#6294211yescharacteristic
1743C2#6294511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42948C2semidirect
2. #42924C2semidirect
3. #42922C2semidirect
4. #42921C2semidirect
5. #42190C2semidirect
6. #42010C2semidirect
7. #39604C2semidirect
8. #39476C2semidirect
9. #39155C2semidirect
10. #38929C2semidirect
12. #37880C2semidirect
13. #37504C2semidirect
14. #37503C2semidirect
15. #37407C2semidirect
16. #37403C2semidirect
17. #37347C2semidirect
18. #37342C2semidirect
19. #35672C2semidirect
20. #35668C2semidirect
21. #35544C2semidirect
22. #35543C2semidirect
23. #35313C2semidirect
24. #35311C2semidirect
25. #35311C2semidirect
26. #35265C2semidirect
27. #35253C2semidirect
28. #35224C2semidirect
29. #35026C2semidirect
30. #35017C2semidirect
33. #34203C2semidirect
35. C2×#2317C2semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2859C22semidirect
49. #2857C22semidirect
50. #2855C22semidirect
51. #2855C22semidirect
52. #2855C22semidirect
53. #2855C22semidirect
54. #2851C22semidirect
56. #2839C22semidirect
57. #2839C22semidirect
58. #2838C22semidirect
59. #2836C22semidirect
61. #2794C22semidirect
62. #2793C22semidirect
63. #2792C22semidirect
64. #2791C22semidirect
65. #2791C22semidirect
66. #2790C22semidirect
67. #2789C22semidirect
68. #2787C22semidirect
69. #2787C22semidirect
71. #2783C22semidirect
73. #2775C22semidirect
74. #2770C22semidirect
75. #2770C22semidirect
76. #2769C22semidirect
77. #2767C22semidirect
78. #2767C22semidirect
79. #2765C22semidirect
82. #2747C22semidirect
83. #2747C22semidirect
85. #2744C22semidirect
88. #2721C22semidirect
89. #2720C22semidirect
90. #2690C22semidirect
91. #2690C22semidirect
92. #2667C22semidirect
93. #2666C22semidirect
94. #2666C22semidirect
95. #2664C22semidirect
96. #2655C22semidirect
97. #2655C22semidirect
98. #2654C22semidirect
99. #2652C22semidirect
100. #2647C22semidirect
101. #2647C22semidirect
102. #2646C22semidirect
103. #2645C22semidirect
104. #2645C22semidirect
106. #2629C22semidirect
107. #2628C22semidirect
109. #2627C22semidirect
110. #2625C22semidirect
111. #2625C22semidirect
112. #2625C22semidirect
113. #2625C22semidirect
115. #2585C22semidirect
116. #2585C22semidirect
117. #2573C22semidirect
118. #2571C22semidirect
119. #2570C22semidirect
120. #2570C22semidirect
121. #2568C22semidirect
122. #2567C22semidirect
123. #2565C22semidirect
124. #2565C22semidirect
125. #2556C22semidirect
126. #2552C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2511C22semidirect
130. #2511C22semidirect
131. #2509C22semidirect
132. #2509C22semidirect
133. #2508C22semidirect
134. #2508C22semidirect
135. #2507C22semidirect
136. #2507C22semidirect
137. #2506C22semidirect
138. #2506C22semidirect
141. #2503C22semidirect
142. #2503C22semidirect
143. #2502C22semidirect
144. #2502C22semidirect
145. #2499C22semidirect
146. #2499C22semidirect
147. #2499C22semidirect
148. #2499C22semidirect
149. #2497C22semidirect
150. #2497C22semidirect
151. #2496C22semidirect
152. #2496C22semidirect
153. #2495C22semidirect
154. #2495C22semidirect
155. #2494C22semidirect
156. #2494C22semidirect
160. #2493C22semidirect
161. #2493C22semidirect
184. #2473C22semidirect
185. #2473C22semidirect
186. #2453C22semidirect
187. #2453C22semidirect
188. #2451C22semidirect
189. #2451C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
196. #2441C22semidirect
197. #2440C22semidirect
198. #2440C22semidirect
199. #2440C22semidirect
200. #2440C22semidirect
201. #2440C22semidirect
202. #2439C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2423C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2421C22semidirect
214. #2421C22semidirect
229. #2362C22semidirect
230. #2362C22semidirect
231. #2360C22semidirect
232. #2360C22semidirect
247. #2329C22semidirect
248. #2323C22semidirect
249. #2323C22semidirect
261. #2317C22semidirect
262. #2317C22semidirect
263. #2317C22semidirect
264. #2317C22semidirect
267. #2313C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
280. C2×#389C22semidirect
281. C2×#389C22semidirect
287. C2×#384C22semidirect
288. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
#429482
#429242
#429222
#429212
#421902
#420102
#396042
#394762
#391552
#389292
#381092
#378802
#375042
#375032
#374072
#374032
#373472
#373422
#356722
#356682
#355442
#355432
#353132
#353112
#352652
#352532
#352242
#350262
#350172
#348092
C2×#24172
#342032
D4×#1172
C2×#23172