Finite Group Databasebeta

← #7987200

Subgroups — #7987200

Order 512.

4828 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59565C212yesmaximal, complemented
2#59436C211yesmaximal, characteristic, complemented
3#59258C211yesmaximal, characteristic, complemented
4#59245C211yesmaximal, characteristic, complemented
5#59203C212yesmaximal, complemented
6#49937C214yesmaximal, complemented
7#48337C214yesmaximal, complemented
8#46165C214yesmaximal, complemented
9#45253C212yesmaximal, complemented
10#45157C212yesmaximal, complemented
11#45088C212yesmaximal
12#45081C212yesmaximal, complemented
13#42934C212yesmaximal, complemented
14#42921C212yesmaximal, complemented
15#42640C212yesmaximal, complemented
16#42636C212yesmaximal, complemented
17#39633C211yesmaximal, characteristic, complemented
18#39608C211yesmaximal, characteristic, complemented
19#39369C211yesmaximal, characteristic, complemented
20#38921C211yesmaximal, characteristic, complemented
21#38647C214yesmaximal, complemented
22#38272C212yesmaximal, complemented
23#37859C212yesmaximal, complemented
24#36427C212yesmaximal, complemented
25#36407C212yesmaximal, complemented
26#36287C211yesmaximal, characteristic, complemented
27#36194C211yesmaximal, characteristic, complemented
28#36154C211yesmaximal, characteristic, complemented
29#35253C212yesmaximal, complemented
30#35203C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#552C2212yescomplemented
38C2×#544C2212yescomplemented
39C2×#529C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2868C2211yescharacteristic, complemented
43#2859C2212yescomplemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2857C2214yescomplemented
47#2853C2214yescomplemented
48#2851C2214yescomplemented
49#2848C2212yes—
50#2839C2214yescomplemented
51#2838C2214yescomplemented
52#2794C2214yescomplemented
53#2790C2214yescomplemented
54#2788C2214yes—
55#2782C2214yes—
56#2771C2214yescomplemented
57#2770C2214yescomplemented
58#2767C2214yescomplemented
59#2763C2214yescomplemented
60#2746C2214yes—
61#2745C2214yes—
62#2745C2214yescomplemented
63#2745C2214yescomplemented
64#2744C2214yes—
65#2743C2214yes—
66#2739C2214yes—
67#2737C2214yes—
68#2736C2214yes—
69#2735C2214yes—
70#2729C2214yescomplemented
71#2728C2214yes—
72#2720C2214yescomplemented
73#2719C2214yescomplemented
74#2716C2214yescomplemented
75#2702C2214yescomplemented
76#2698C2214yescomplemented
77#2696C2214yes—
78#2696C2214yes—
79#2695C2214yescomplemented
80#2694C2214yescomplemented
81#2692C2214yescomplemented
82#2690C2214yescomplemented
83#2680C2214yescomplemented
84#2677C2214yescomplemented
85#2666C2214yescomplemented
86#2655C2214yescomplemented
87#2652C2214yescomplemented
88#2649C2214yescomplemented
89#2647C2212yescomplemented
90#2629C2214yes—
91#2628C2214yes—
92#2628C2212yescomplemented
93#2628C2212yescomplemented
94#2625C2212yescomplemented
95#2612C2214yescomplemented
96#2609C2214yes—
97#2599C2214yescomplemented
98#2588C2214yescomplemented
99#2582C2211yescharacteristic, complemented
100#2575C2214yescomplemented
101#2575C2214yescomplemented
102#2574C2214yescomplemented
103#2574C2214yescomplemented
104#2571C2212yescomplemented
105#2570C2212yescomplemented
106#2568C2212yescomplemented
107#2567C2211yescharacteristic, complemented
108#2563C2212yes—
109#2563C2211yescharacteristic
110#2563C2212yescomplemented
111#2561C2214yes—
112#2558C2214yescomplemented
113#2556C2214yes—
114#2556C2214yescomplemented
115#2556C2214yescomplemented
116#2552C2212yescomplemented
117#2552C2211yescharacteristic, complemented
118#2551C2212yescomplemented
119#2551C2211yescharacteristic, complemented
120#2542C2212yes—
121#2538C2212yes—
122#2538C2211yescharacteristic
123#2531C2214yescomplemented
124#2530C2212yescomplemented
125#2530C2214yescomplemented
126#2528C2212yescomplemented
127#2527C2214yescomplemented
128#2517C2212yes—
129#2514C2212yescomplemented
130#2511C2212yescomplemented
131#2511C2211yescharacteristic, complemented
132#2509C2212yescomplemented
133#2508C2212yescomplemented
134#2506C2212yescomplemented
135#2506C2212yescomplemented
136#2506C2212yescomplemented
137#2506C2211yescharacteristic, complemented
138#2502C2212yescomplemented
139#2499C2211yescharacteristic
140#2497C2212yes—
141#2497C2212yes—
142#2497C2212yes—
143#2497C2212yescomplemented
144#2497C2212yescomplemented
145#2497C2212yescomplemented
146#2496C2212yescomplemented
147#2495C2212yescomplemented
148#2494C2212yescomplemented
149#2494C2211yescharacteristic, complemented
150#2492C2212yes—
151#2492C2212yes—
152#2492C2212yescomplemented
153#2492C2212yescomplemented
154#2489C2212yescomplemented
155#2489C2211yescharacteristic, complemented
156#2489C2214yescomplemented
157#2488C2214yescomplemented
158#2487C2212yes—
159#2487C2212yescomplemented
160#2486C2212yescomplemented
161#2485C2211yescharacteristic
162#2485C2212yescomplemented
163#2482C2214yes—
164#2480C2212yes—
165#2479C2214yes—
166#2479C2214yescomplemented
167#2477C2214yes—
168#2475C2214yes—
169#2475C2214yescomplemented
170#2475C2214yescomplemented
171#2475C2214yescomplemented
172#2468C2212yes—
173#2460C2212yes—
174#2457C2212yes—
175#2454C2211yescharacteristic
176#2454C2212yes—
177#2452C2212yes—
178#2452C2212yes—
179#2452C2212yes—
180#2451C2212yescomplemented
181#2450C2214yes—
182#2447C2212yes—
183#2447C2212yes—
184#2447C2211yescharacteristic
185#2442C2212yes—
186#2442C2211yescharacteristic
187#2442C2212yescomplemented
188#2442C2212yescomplemented
189#2441C2212yes—
190#2441C2211yescharacteristic
191#2441C2214yescomplemented
192#2441C2212yescomplemented
193#2440C2212yescomplemented
194#2440C2212yescomplemented
195#2440C2212yescomplemented
196#2439C2212yes—
197#2439C2212yes—
198#2439C2214yescomplemented
199#2439C2212yescomplemented
200#2438C2214yescomplemented
201#2438C2214yescomplemented
202#2437C2214yes—
203#2437C2214yes—
204#2437C2214yes—
205#2435C2211yescharacteristic
206#2427C2211yescharacteristic
207#2423C2212yes—
208#2422C2212yes—
209#2422C2212yes—
210#2421C2212yescomplemented
211#2420C2211yescharacteristic
212#2418C2212yes—
213#2417C2212yes—
214#2417C2211yescharacteristic
215#2415C2211yescharacteristic
216#2415C2212yescomplemented
217#2411C2214yes—
218#2411C2214yes—
219#2408C2211yescharacteristic
220#2401C2212yes—
221#2395C2212yes—
222#2395C2212yes—
223#2392C2212yes—
224#2378C2214yescomplemented
225#2376C2214yescomplemented
226#2370C2212yescomplemented
227#2370C2212yescomplemented
228#2370C2212yescomplemented
229#2369C2212yescomplemented
230#2369C2212yescomplemented
231#2369C2211yescharacteristic, complemented
232#2367C2212yes—
233#2362C2212yes—
234#2362C2212yescomplemented
235#2355C2211yescharacteristic, complemented
236#2355C2212yescomplemented
237#2354C2211yescharacteristic
238#2354C2212yes—
239#2354C2212yes—
240#2354C2212yes—
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2354C2212yescomplemented
244#2352C2212yes—
245#2352C2212yes—
246#2352C2212yescomplemented
247Q8×C4⋊C4C2211yescharacteristic, complemented
248Q8×C4⋊C4C2211yescharacteristic, complemented
249#2349C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253#2346C2212yes—
254#2344C2212yes—
255#2344C2212yescomplemented
256#2344C2212yescomplemented
257#2343C2214yescomplemented
258#2342C2214yes—
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261#2334C2214yescomplemented
262#2330C2212yescomplemented
263#2326C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2214yescomplemented
267#2323C2212yescomplemented
268#2323C2212yescomplemented
269#2319C2212yes—
270#2317C2212yescomplemented
271#2317C2212yescomplemented
272#2316C2212yescomplemented
273#2314C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#125C2211yescharacteristic, complemented
276C4×#125C2212yescomplemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×#121C2211yescharacteristic
282C4×#120C2212yes—
283#2298C2212yescomplemented
284#2296C2214yescomplemented
285#2295C2212yescomplemented
286#2295C2211yescharacteristic, complemented
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2290C2214yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293#2280C2212yes—
294#2280C2212yes—
295C2×#380C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#554—28no—
302#552—48no—
303#544—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#120C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4—28no—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×#117—48no—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2314yes—
391#401C2314yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#392C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2314yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
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#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2314yes—
690#384C2312yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#383C2314yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2314yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#379C2312yes—
751#379C2314yes—
752#379C2314yes—
753#379C2312yes—
754#379C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
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⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4—28no—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—48no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—82no—
856#126—28no—
857#126—48no—
858#125—24no—
859#125—28no—
860#125—24no—
861#125—28no—
862#125—48no—
863#125—44no—
864#125—48no—
865#125—84no—
866#124—24no—
867#124—24no—
868#123—28no—
869#123—48no—
870#123—84no—
871C22⋊Q8—28no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—24no—
875C22⋊Q8—216no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—42no—
879C22⋊Q8—44no—
880C22⋊Q8—82no—
881C22⋊Q8—84no—
882C22⋊Q8—84no—
883C22⋊Q8—84no—
884C22⋊Q8—82no—
885#121—24no—
886#121—24no—
887#120—44no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4#4118yes—
908#117—28no—
909#117—24no—
910#117—24no—
911#117—28no—
912#117—44no—
913#117—44no—
914#117—48no—
915#117—48no—
916#117—48no—
917#117—48no—
918#117—44no—
919#117—44no—
920#117—44no—
921#117—48no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C22⋊C4—28no—
1004C2×C22⋊C4—48no—
1005C2×C22⋊C4—84no—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—24no—
1059C2×C42—24no—
1060C2×C42—48no—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C2511yescharacteristic
1177C24C2512yes—
1178C24C2511yescharacteristic
1179C24C2512yes—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—416no—
1212C2×D4C2×#4114yes—
1213C2×D42−1+414yes—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—432no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—44no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4C2×#4118yes—
1259C22×C42−1+414yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—41no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4C2×#4114yes—
1366C4⋊C4H(5,𝔽2)14yes—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4C2×#4118yes—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—28no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—22no—
1433C42—24no—
1434C42—22no—
1435C42—28no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42C2×#4114yes—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—48no—
1477C23—48no—
1478C23—48no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23C22×#4114yes—
1484C23C2×2−1+412yes—
1485C23C2×2−1+414yes—
1486C23C2611yescharacteristic
1487Q8—44no—
1488Q8—44no—
1489Q8—84no—
1490Q8—164no—
1491Q8—164no—
1492D4—28no—
1493D4—28no—
1494D4—44no—
1495D4—48no—
1496D4—84no—
1497D4—84no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—28no—
1509C2×C4—216no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—48no—
1583C2×C4—416no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—82no—
1591C2×C4—82no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—164no—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C2×H(5,𝔽2)14yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C22—24no—
1607C22—22no—
1608C22—24no—
1609C22—22no—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—22no—
1614C22—24no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—816no—
1635C22C23×#4111yescharacteristic
1636C22C22×H(5,𝔽2)11yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C22×2−1+411yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C4—22no—
1643C4—22no—
1644C4—24no—
1645C4—22no—
1646C4—24no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—44no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—44no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4#349514yes—
1672C4#352014yes—
1673C2—44no—
1674C2—44no—
1675C2—42no—
1676C2—81no—
1677C2#6275211yescharacteristic
1678C2C2×#352011yescharacteristic
1679C2C2×#349511yescharacteristic
1680C2#6292311yescharacteristic
1681C2#6294511yescharacteristic
1682C2#6299411yescharacteristic
1683C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59565C2semidirect
2. #59436C2semidirect
3. #59258C2semidirect
4. #59245C2semidirect
5. #59203C2semidirect
6. #49937C2semidirect
7. #48337C2semidirect
8. #46165C2semidirect
9. #45253C2semidirect
10. #45157C2semidirect
12. #45081C2semidirect
13. #42934C2semidirect
14. #42921C2semidirect
15. #42640C2semidirect
16. #42636C2semidirect
17. #39633C2semidirect
18. #39608C2semidirect
19. #39369C2semidirect
20. #38921C2semidirect
21. #38647C2semidirect
22. #38272C2semidirect
23. #37859C2semidirect
24. #36427C2semidirect
25. #36407C2semidirect
26. #36287C2semidirect
27. #36194C2semidirect
28. #36154C2semidirect
29. #35253C2semidirect
30. #35203C2semidirect
31. #34793C2semidirect
33. #34484C2semidirect
34. #34383C2semidirect
35. D4×#117C2semidirect
37. C2×#552C22semidirect
38. C2×#544C22semidirect
42. #2868C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2857C22semidirect
47. #2853C22semidirect
48. #2851C22semidirect
50. #2839C22semidirect
51. #2838C22semidirect
52. #2794C22semidirect
53. #2790C22semidirect
56. #2771C22semidirect
57. #2770C22semidirect
58. #2767C22semidirect
59. #2763C22semidirect
62. #2745C22semidirect
63. #2745C22semidirect
70. #2729C22semidirect
72. #2720C22semidirect
73. #2719C22semidirect
74. #2716C22semidirect
75. #2702C22semidirect
76. #2698C22semidirect
79. #2695C22semidirect
80. #2694C22semidirect
81. #2692C22semidirect
82. #2690C22semidirect
83. #2680C22semidirect
84. #2677C22semidirect
85. #2666C22semidirect
86. #2655C22semidirect
87. #2652C22semidirect
88. #2649C22semidirect
89. #2647C22semidirect
92. #2628C22semidirect
93. #2628C22semidirect
94. #2625C22semidirect
95. #2612C22semidirect
97. #2599C22semidirect
98. #2588C22semidirect
99. #2582C22semidirect
100. #2575C22semidirect
101. #2575C22semidirect
102. #2574C22semidirect
103. #2574C22semidirect
104. #2571C22semidirect
105. #2570C22semidirect
106. #2568C22semidirect
107. #2567C22semidirect
110. #2563C22semidirect
112. #2558C22semidirect
114. #2556C22semidirect
115. #2556C22semidirect
116. #2552C22semidirect
117. #2552C22semidirect
118. #2551C22semidirect
119. #2551C22semidirect
123. #2531C22semidirect
124. #2530C22semidirect
125. #2530C22semidirect
126. #2528C22semidirect
127. #2527C22semidirect
129. #2514C22semidirect
130. #2511C22semidirect
131. #2511C22semidirect
132. #2509C22semidirect
133. #2508C22semidirect
134. #2506C22semidirect
135. #2506C22semidirect
136. #2506C22semidirect
137. #2506C22semidirect
138. #2502C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
146. #2496C22semidirect
147. #2495C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
154. #2489C22semidirect
155. #2489C22semidirect
156. #2489C22semidirect
157. #2488C22semidirect
159. #2487C22semidirect
160. #2486C22semidirect
162. #2485C22semidirect
166. #2479C22semidirect
169. #2475C22semidirect
170. #2475C22semidirect
171. #2475C22semidirect
180. #2451C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
191. #2441C22semidirect
192. #2441C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
195. #2440C22semidirect
198. #2439C22semidirect
199. #2439C22semidirect
200. #2438C22semidirect
201. #2438C22semidirect
210. #2421C22semidirect
216. #2415C22semidirect
224. #2378C22semidirect
225. #2376C22semidirect
226. #2370C22semidirect
227. #2370C22semidirect
228. #2370C22semidirect
229. #2369C22semidirect
230. #2369C22semidirect
231. #2369C22semidirect
234. #2362C22semidirect
235. #2355C22semidirect
236. #2355C22semidirect
243. #2354C22semidirect
246. #2352C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
255. #2344C22semidirect
256. #2344C22semidirect
257. #2343C22semidirect
261. #2334C22semidirect
262. #2330C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
270. #2317C22semidirect
271. #2317C22semidirect
272. #2316C22semidirect
273. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#125C22semidirect
276. C4×#125C22semidirect
280. C4×C22⋊Q8C22semidirect
283. #2298C22semidirect
284. #2296C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#595652
#594362
#592582
#592452
#592032
#499372
#483372
#461652
#452532
#451572
#450882
#450812
#429342
#429212
#426402
#426362
#396332
#396082
#393692
#389212
#386472
#382722
#378592
#364272
#364072
#362872
#361942
#361542
#352532
#352032
#347932
#347002
#344842
#343832
D4×#1172