Finite Group Databasebeta

← #7650839

Subgroups — #7650839

Order 512.

5037 conjugacy classes of subgroups.

The subgroup lattice has 1771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42947C212yesmaximal, complemented
2#42946C212yesmaximal, complemented
3#42904C212yesmaximal, complemented
4#42898C212yesmaximal, complemented
5#42605C212yesmaximal, complemented
6#42540C212yesmaximal, complemented
7#42464C212yesmaximal, complemented
8#42453C212yesmaximal, complemented
9#41444C214yesmaximal, complemented
10#40721C214yesmaximal, complemented
11#40149C212yesmaximal, complemented
12#40119C212yesmaximal, complemented
13#39938C212yesmaximal, complemented
14#39915C212yesmaximal, complemented
15#39794C212yesmaximal, complemented
16#39145C212yesmaximal, complemented
17#39005C212yesmaximal, complemented
18#38939C212yesmaximal, complemented
19#38508C214yesmaximal, complemented
20#37901C214yesmaximal, complemented
21#35627C211yesmaximal, characteristic, complemented
22#35585C211yesmaximal, characteristic, complemented
23#35563C211yesmaximal, characteristic
24#35558C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#35262C211yesmaximal, characteristic, complemented
28#35254C211yesmaximal, characteristic, complemented
29#35172C211yesmaximal, characteristic, complemented
30#34742C211yesmaximal, characteristic, complemented
31#34739C211yesmaximal, characteristic, complemented
32C2×#2420C211yesmaximal, characteristic, complemented
33#34265C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34184C211yesmaximal, characteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2854C2212yes—
46#2854C2212yes—
47#2854C2212yescomplemented
48#2854C2212yescomplemented
49#2848C2214yes—
50#2838C2214yescomplemented
51#2837C2214yescomplemented
52#2827C2214yescomplemented
53#2826C2214yescomplemented
54#2796C2214yescomplemented
55#2796C2214yescomplemented
56#2785C2214yescomplemented
57#2783C2214yescomplemented
58#2783C2214yescomplemented
59#2782C2214yescomplemented
60#2781C2214yescomplemented
61#2781C2214yescomplemented
62#2775C2214yescomplemented
63#2773C2214yescomplemented
64#2771C2214yescomplemented
65#2765C2214yescomplemented
66#2757C2214yescomplemented
67#2750C2214yescomplemented
68#2746C2214yescomplemented
69#2744C2214yescomplemented
70#2743C2214yescomplemented
71#2740C2214yescomplemented
72#2732C2214yescomplemented
73#2727C2214yescomplemented
74#2723C2214yescomplemented
75#2711C2214yescomplemented
76#2708C2214yescomplemented
77#2706C2214yescomplemented
78#2705C2214yescomplemented
79#2696C2214yescomplemented
80#2694C2214yescomplemented
81#2693C2214yescomplemented
82#2691C2214yescomplemented
83#2689C2214yescomplemented
84#2687C2214yescomplemented
85#2681C2214yescomplemented
86#2667C2214yescomplemented
87#2664C2214yescomplemented
88#2663C2214yescomplemented
89#2654C2214yescomplemented
90#2651C2214yescomplemented
91#2649C2214yescomplemented
92#2649C2214yescomplemented
93#2643C2214yescomplemented
94#2639C2214yescomplemented
95#2638C2214yescomplemented
96#2636C2214yescomplemented
97#2636C2214yescomplemented
98#2626C2214yes—
99#2624C2212yes—
100#2624C2212yes—
101#2624C2212yescomplemented
102#2624C2212yescomplemented
103#2596C2214yescomplemented
104#2582C2212yescomplemented
105#2581C2212yescomplemented
106#2580C2212yescomplemented
107#2580C2212yescomplemented
108#2580C2212yescomplemented
109#2575C2214yescomplemented
110#2573C2214yescomplemented
111#2571C2212yescomplemented
112#2571C2212yescomplemented
113#2570C2212yescomplemented
114#2570C2212yescomplemented
115#2569C2214yes—
116#2566C2212yescomplemented
117#2566C2212yescomplemented
118#2563C2212yescomplemented
119#2560C2214yescomplemented
120#2558C2214yescomplemented
121#2553C2214yescomplemented
122#2542C2212yescomplemented
123#2538C2212yescomplemented
124#2538C2212yescomplemented
125#2538C2212yescomplemented
126#2534C2214yes—
127#2513C2212yescomplemented
128#2513C2212yescomplemented
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2512C2212yescomplemented
132#2512C2212yescomplemented
133#2512C2212yescomplemented
134#2512C2212yescomplemented
135#2509C2212yescomplemented
136#2509C2212yescomplemented
137#2509C2212yescomplemented
138#2509C2212yescomplemented
139#2508C2212yescomplemented
140#2508C2212yescomplemented
141#2508C2212yescomplemented
142#2508C2212yescomplemented
143#2507C2212yescomplemented
144#2507C2212yescomplemented
145#2506C2212yescomplemented
146#2506C2212yescomplemented
147#2505C2214yes—
148#2505C2214yes—
149#2504C2212yes—
150#2501C2212yes—
151#2500C2212yes—
152#2500C2212yes—
153#2497C2212yescomplemented
154#2497C2212yescomplemented
155#2496C2212yescomplemented
156#2496C2212yescomplemented
157#2495C2212yescomplemented
158#2495C2212yescomplemented
159#2494C2212yescomplemented
160#2494C2212yescomplemented
161#2493C2214yes—
162#2488C2214yescomplemented
163#2482C2214yes—
164#2480C2214yes—
165#2480C2214yes—
166#2480C2214yes—
167#2466C2214yescomplemented
168#2463C2214yescomplemented
169#2450C2214yes—
170#2449C2214yes—
171#2448C2212yescomplemented
172#2448C2212yescomplemented
173#2445C2212yescomplemented
174#2445C2212yescomplemented
175#2442C2214yes—
176#2442C2211yescharacteristic, complemented
177#2442C2211yescharacteristic, complemented
178#2442C2212yescomplemented
179#2441C2212yescomplemented
180#2441C2211yescharacteristic, complemented
181#2441C2211yescharacteristic, complemented
182#2440C2212yescomplemented
183#2440C2211yescharacteristic, complemented
184#2440C2211yescharacteristic, complemented
185#2439C2211yescharacteristic, complemented
186#2439C2211yescharacteristic, complemented
187#2439C2212yescomplemented
188#2438C2212yes—
189#2438C2212yes—
190#2437C2212yes—
191#2437C2212yes—
192#2428C2212yes—
193#2428C2212yes—
194#2426C2212yes—
195#2426C2212yes—
196#2425C2214yescomplemented
197#2425C2214yescomplemented
198#2423C2211yescharacteristic, complemented
199#2423C2211yescharacteristic, complemented
200#2422C2211yescharacteristic, complemented
201#2422C2211yescharacteristic, complemented
202#2421C2211yescharacteristic, complemented
203#2421C2211yescharacteristic, complemented
204#2420C2212yes—
205#2420C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2420C2211yescharacteristic, complemented
213#2420C2211yescharacteristic, complemented
214#2419C2212yes—
215#2419C2212yes—
216#2419C2214yescomplemented
217#2418C2214yes—
218#2418C2212yes—
219#2418C2212yes—
220#2418C2214yes—
221#2416C2212yes—
222#2416C2212yes—
223#2414C2212yes—
224#2414C2212yes—
225#2408C2214yes—
226#2405C2214yes—
227#2396C2212yescomplemented
228#2396C2212yescomplemented
229#2395C2212yescomplemented
230#2395C2212yescomplemented
231C2×#397C2212yes—
232C2×#394C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2366C2212yescomplemented
236#2366C2212yescomplemented
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2361C2212yescomplemented
240#2361C2212yescomplemented
241#2359C2214yes—
242#2358C2214yes—
243#2354C2212yescomplemented
244#2352C2212yescomplemented
245#2352C2212yescomplemented
246#2351C2212yescomplemented
247#2351C2212yescomplemented
248#2349C2214yes—
249#2349C2214yes—
250#2349C2212yescomplemented
251#2349C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2335C2214yescomplemented
254#2332C2214yescomplemented
255#2325C2214yescomplemented
256#2324C2212yescomplemented
257#2323C2212yescomplemented
258#2321C2214yes—
259#2318C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2212yescomplemented
266#2317C2212yescomplemented
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2309C2211yescharacteristic
271#2309C2211yescharacteristic
272#2309C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#120C2214yes—
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#390C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#386C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2212yescomplemented
290C2×#382C2211yescharacteristic
291C2×#382C2212yescomplemented
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294C2×#381C2212yes—
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#535—28no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2314yes—
315C2×#124C2312yes—
316#525—28no—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×#121—44no—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#120C2314yes—
345C2×#120C2312yes—
346#520—44no—
347#520—44no—
348C4×#41—28no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4—44no—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×#117—44no—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C42C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408#401C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#395C2314yes—
491#395C2312yes—
492#395C2312yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2312yes—
518#392C2314yes—
519#392C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#388C2312yes—
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#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#383C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#382C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2314yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2312yes—
735#381C2312yes—
736#381C2312yes—
737#381C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2312yes—
769#379C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2311yescharacteristic
819C25C2411yescharacteristic
820C25C2412yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41#4118yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—82no—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4—24no—
846C23×C4—44no—
847C23×C4—44no—
848C23×C4—82no—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2411yescharacteristic
871C4⋊Q8—42no—
872C4⋊Q8—42no—
873#127—28no—
874#126—84no—
875#126—84no—
876#126—84no—
877#125—42no—
878#125—42no—
879#125—84no—
880#124—28no—
881#123—28no—
882#123—44no—
883#123—44no—
884#123—48no—
885#123—84no—
886#123—84no—
887#123—84no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—84no—
896C22⋊Q8—84no—
897#121—24no—
898#121—24no—
899#121—28no—
900#121—28no—
901#121—48no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—84no—
907#120—28no—
908#120—216no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—48no—
928C4×D4—48no—
929C4×D4—48no—
930C4×D4—84no—
931C4×D4—84no—
932#117—28no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—44no—
941#117—44no—
942#117—42no—
943#117—42no—
944#117—44no—
945#117—44no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—42no—
950C2×C4⋊C4—42no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—82no—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C22⋊C4—42no—
1025C2×C22⋊C4—42no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—44no—
1028C2×C22⋊C4—44no—
1029C2×C22⋊C4—82no—
1030C2×C22⋊C4—82no—
1031C2×C22⋊C4—82no—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C42—28no—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24—24no—
1193C24—22no—
1194C24—22no—
1195C24—22no—
1196C24—22no—
1197C24—24no—
1198C24—24no—
1199C24—41no—
1200C24—41no—
1201C24—42no—
1202C24—42no—
1203C24—42no—
1204C24—42no—
1205C24—41no—
1206C24C2511yescharacteristic
1207C24C2514yes—
1208C24C2512yes—
1209C24C2511yescharacteristic
1210C24C2511yescharacteristic
1211#41—232no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8C2×#4114yes—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—416no—
1250C2×D4—816no—
1251C2×D4C2×#4118yes—
1252C2×D4C2×#4114yes—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—28no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—41no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—416no—
1316C22×C4—816no—
1317C22×C4C2×#4118yes—
1318C22×C4C2×#4114yes—
1319C22×C4H(5,𝔽2)14yes—
1320C22×C42−1+414yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2514yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
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—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C22⋊C4—24no—
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—22no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—24no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—42no—
1502C42—42no—
1503C42—44no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—44no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—21no—
1525C23—21no—
1526C23—24no—
1527C23—21no—
1528C23—24no—
1529C23—21no—
1530C23—24no—
1531C23—21no—
1532C23—24no—
1533C23—24no—
1534C23—21no—
1535C23—21no—
1536C23—24no—
1537C23—24no—
1538C23—21no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—48no—
1543C23—48no—
1544C23—44no—
1545C23—48no—
1546C23—82no—
1547C23—84no—
1548C23—84no—
1549C23—84no—
1550C23—82no—
1551C23—84no—
1552C23—82no—
1553C23C22×#4114yes—
1554C23C22×#4112yes—
1555C23C2×H(5,𝔽2)12yes—
1556C23C2×2−1+412yes—
1557C23#58512yes—
1558C23C2611yescharacteristic
1559Q8—28no—
1560Q8—84no—
1561Q8—84no—
1562D4—216no—
1563D4—28no—
1564D4—48no—
1565D4—48no—
1566D4—48no—
1567D4—84no—
1568D4—88no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—216no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—24no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—88no—
1662C2×C4—82no—
1663C2×C4—84no—
1664C2×C4—82no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4—82no—
1669C2×C4—84no—
1670C2×C4—84no—
1671C2×C4—84no—
1672C2×C4—88no—
1673C2×C4—164no—
1674C2×C4—164no—
1675C2×C4#539116yes—
1676C2×C4C22×#4114yes—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4112yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×2−1+412yes—
1682C2×C4C2×2−1+412yes—
1683C2×C4#58512yes—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—24no—
1691C22—24no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—24no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—44no—
1706C22—44no—
1707C22—41no—
1708C22—41no—
1709C22—44no—
1710C22—41no—
1711C22—44no—
1712C22—44no—
1713C22—41no—
1714C22—44no—
1715C22—41no—
1716C22—41no—
1717C22—44no—
1718C22—88no—
1719C22—816no—
1720C22C2×#53914yes—
1721C22C23×#4111yescharacteristic
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C22×2−1+411yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22H(7,𝔽2)11yescharacteristic
1727C22H(7,𝔽2)11yescharacteristic
1728C4—22no—
1729C4—24no—
1730C4—41no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—44no—
1743C4—41no—
1744C4—41no—
1745C4—42no—
1746C4—44no—
1747C4—42no—
1748C4—44no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—41no—
1756C4C2×#53914yes—
1757C4C2×#53914yes—
1758C2—24no—
1759C2—44no—
1760C2—42no—
1761C2—81no—
1762C2—84no—
1763C2C22×#53911yescharacteristic
1764C2#6283111yescharacteristic
1765C2#6288111yescharacteristic
1766C2#6292411yescharacteristic
1767C2#6292411yescharacteristic
1768C2#6299411yescharacteristic
1769C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35563C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42947C2semidirect
2. #42946C2semidirect
3. #42904C2semidirect
4. #42898C2semidirect
5. #42605C2semidirect
6. #42540C2semidirect
7. #42464C2semidirect
8. #42453C2semidirect
9. #41444C2semidirect
10. #40721C2semidirect
11. #40149C2semidirect
12. #40119C2semidirect
13. #39938C2semidirect
14. #39915C2semidirect
15. #39794C2semidirect
16. #39145C2semidirect
17. #39005C2semidirect
18. #38939C2semidirect
19. #38508C2semidirect
20. #37901C2semidirect
21. #35627C2semidirect
22. #35585C2semidirect
24. #35558C2semidirect
25. #35544C2semidirect
26. #35519C2semidirect
27. #35262C2semidirect
28. #35254C2semidirect
29. #35172C2semidirect
30. #34742C2semidirect
31. #34739C2semidirect
32. C2×#2420C2semidirect
33. #34265C2semidirect
34. #34202C2semidirect
35. #34184C2semidirect
47. #2854C22semidirect
48. #2854C22semidirect
50. #2838C22semidirect
51. #2837C22semidirect
52. #2827C22semidirect
53. #2826C22semidirect
54. #2796C22semidirect
55. #2796C22semidirect
56. #2785C22semidirect
57. #2783C22semidirect
58. #2783C22semidirect
59. #2782C22semidirect
60. #2781C22semidirect
61. #2781C22semidirect
62. #2775C22semidirect
63. #2773C22semidirect
64. #2771C22semidirect
65. #2765C22semidirect
66. #2757C22semidirect
67. #2750C22semidirect
68. #2746C22semidirect
69. #2744C22semidirect
70. #2743C22semidirect
71. #2740C22semidirect
72. #2732C22semidirect
73. #2727C22semidirect
74. #2723C22semidirect
75. #2711C22semidirect
76. #2708C22semidirect
77. #2706C22semidirect
78. #2705C22semidirect
79. #2696C22semidirect
80. #2694C22semidirect
81. #2693C22semidirect
82. #2691C22semidirect
83. #2689C22semidirect
84. #2687C22semidirect
85. #2681C22semidirect
86. #2667C22semidirect
87. #2664C22semidirect
88. #2663C22semidirect
89. #2654C22semidirect
90. #2651C22semidirect
91. #2649C22semidirect
92. #2649C22semidirect
93. #2643C22semidirect
94. #2639C22semidirect
95. #2638C22semidirect
96. #2636C22semidirect
97. #2636C22semidirect
101. #2624C22semidirect
102. #2624C22semidirect
103. #2596C22semidirect
104. #2582C22semidirect
105. #2581C22semidirect
106. #2580C22semidirect
107. #2580C22semidirect
108. #2580C22semidirect
109. #2575C22semidirect
110. #2573C22semidirect
111. #2571C22semidirect
112. #2571C22semidirect
113. #2570C22semidirect
114. #2570C22semidirect
116. #2566C22semidirect
117. #2566C22semidirect
118. #2563C22semidirect
119. #2560C22semidirect
120. #2558C22semidirect
121. #2553C22semidirect
122. #2542C22semidirect
123. #2538C22semidirect
124. #2538C22semidirect
125. #2538C22semidirect
127. #2513C22semidirect
128. #2513C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2512C22semidirect
132. #2512C22semidirect
133. #2512C22semidirect
134. #2512C22semidirect
135. #2509C22semidirect
136. #2509C22semidirect
137. #2509C22semidirect
138. #2509C22semidirect
139. #2508C22semidirect
140. #2508C22semidirect
141. #2508C22semidirect
142. #2508C22semidirect
143. #2507C22semidirect
144. #2507C22semidirect
145. #2506C22semidirect
146. #2506C22semidirect
153. #2497C22semidirect
154. #2497C22semidirect
155. #2496C22semidirect
156. #2496C22semidirect
157. #2495C22semidirect
158. #2495C22semidirect
159. #2494C22semidirect
160. #2494C22semidirect
162. #2488C22semidirect
167. #2466C22semidirect
168. #2463C22semidirect
171. #2448C22semidirect
172. #2448C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
176. #2442C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
179. #2441C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
182. #2440C22semidirect
183. #2440C22semidirect
184. #2440C22semidirect
185. #2439C22semidirect
186. #2439C22semidirect
187. #2439C22semidirect
196. #2425C22semidirect
197. #2425C22semidirect
198. #2423C22semidirect
199. #2423C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2421C22semidirect
203. #2421C22semidirect
212. #2420C22semidirect
213. #2420C22semidirect
216. #2419C22semidirect
227. #2396C22semidirect
228. #2396C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2366C22semidirect
236. #2366C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
243. #2354C22semidirect
244. #2352C22semidirect
245. #2352C22semidirect
246. #2351C22semidirect
247. #2351C22semidirect
250. #2349C22semidirect
251. #2349C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2335C22semidirect
254. #2332C22semidirect
255. #2325C22semidirect
256. #2324C22semidirect
257. #2323C22semidirect
259. #2318C22semidirect
265. #2317C22semidirect
266. #2317C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect
278. C4×#121C22semidirect
289. #2285C22semidirect
291. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
#429472
#429462
#429042
#428982
#426052
#425402
#424642
#424532
#414442
#407212
#401492
#401192
#399382
#399152
#397942
#391452
#390052
#389392
#385082
#379012
#356272
#355852
#355632
#355582
#355442
#355192
#352622
#352542
#351722
#347422
#347392
C2×#24202
#342652
#342022
#341842