Finite Group Databasebeta

← #7693292

Subgroups — #7693292

Order 512.

4880 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#59855C212yesmaximal, complemented
2#59433C212yesmaximal, complemented
3#59426C211yesmaximal, characteristic, complemented
4#59422C214yesmaximal, complemented
5#59248C211yesmaximal, characteristic, complemented
6#59243C211yesmaximal, characteristic, complemented
7#59240C212yesmaximal, complemented
8#59204C212yesmaximal, complemented
9#45174C212yesmaximal, complemented
10#45067C212yesmaximal, complemented
11#43626C214yesmaximal, complemented
12#43268C214yesmaximal, complemented
13#39158C211yesmaximal, characteristic, complemented
14#39157C211yesmaximal, characteristic, complemented
15#39155C212yesmaximal, complemented
16#39154C212yesmaximal, complemented
17#38981C212yesmaximal, complemented
18#38979C214yesmaximal, complemented
19#36590C211yesmaximal, characteristic, complemented
20#36586C212yesmaximal, complemented
21#36275C211yesmaximal, characteristic, complemented
22#36261C211yesmaximal, characteristic, complemented
23#36238C212yesmaximal
24#36210C211yesmaximal, characteristic, complemented
25#36204C212yesmaximal, complemented
26#36154C211yesmaximal, characteristic, complemented
27#36053C212yesmaximal, complemented
28#35873C212yesmaximal, complemented
29#34945C211yesmaximal, characteristic, complemented
30C2×#2494C212yesmaximal, complemented
31#34333C212yesmaximal, complemented
32#34194C211yesmaximal, characteristic, complemented
33#34191C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#554C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2861C2212yes—
42#2859C2211yescharacteristic, complemented
43#2857C2211yescharacteristic
44#2857C2212yescomplemented
45#2857C2211yescharacteristic, complemented
46#2855C2212yescomplemented
47#2850C2214yes—
48#2848C2212yes—
49#2800C2214yescomplemented
50#2789C2214yescomplemented
51#2789C2214yescomplemented
52#2788C2214yes—
53#2787C2214yescomplemented
54#2786C2214yes—
55#2786C2214yescomplemented
56#2783C2214yescomplemented
57#2777C2214yescomplemented
58#2776C2214yescomplemented
59#2775C2214yescomplemented
60#2767C2214yescomplemented
61#2762C2214yescomplemented
62#2759C2214yescomplemented
63#2759C2214yescomplemented
64#2758C2214yescomplemented
65#2745C2214yescomplemented
66#2740C2214yescomplemented
67#2715C2214yescomplemented
68#2700C2214yescomplemented
69#2689C2214yes—
70#2645C2212yescomplemented
71#2644C2212yes—
72#2643C2214yes—
73#2643C2214yescomplemented
74#2604C2214yescomplemented
75#2599C2214yes—
76#2596C2214yescomplemented
77#2596C2214yescomplemented
78#2594C2214yescomplemented
79#2594C2214yescomplemented
80#2594C2214yescomplemented
81#2592C2212yes—
82#2591C2214yes—
83#2584C2212yescomplemented
84#2583C2214yescomplemented
85#2582C2211yescharacteristic, complemented
86#2577C2214yes—
87#2573C2212yes—
88#2573C2212yescomplemented
89#2573C2214yescomplemented
90#2571C2211yescharacteristic, complemented
91#2571C2212yescomplemented
92#2568C2211yescharacteristic, complemented
93#2567C2211yescharacteristic, complemented
94#2563C2211yescharacteristic
95#2562C2212yes—
96#2561C2214yes—
97#2552C2211yescharacteristic, complemented
98#2551C2211yescharacteristic, complemented
99#2550C2212yescomplemented
100#2549C2214yescomplemented
101#2547C2211yescharacteristic
102#2547C2212yescomplemented
103#2538C2211yescharacteristic
104#2538C2211yescharacteristic
105#2528C2214yescomplemented
106#2527C2214yescomplemented
107#2525C2214yescomplemented
108#2525C2214yescomplemented
109#2523C2214yes—
110#2521C2214yes—
111#2514C2212yescomplemented
112#2514C2212yescomplemented
113#2514C2212yescomplemented
114#2514C2212yescomplemented
115#2514C2214yescomplemented
116#2514C2212yescomplemented
117#2514C2212yescomplemented
118#2513C2212yes—
119#2513C2212yes—
120#2512C2212yes—
121#2510C2214yes—
122#2510C2214yes—
123#2510C2214yescomplemented
124#2510C2214yescomplemented
125#2510C2214yescomplemented
126#2509C2212yescomplemented
127#2509C2212yescomplemented
128#2499C2212yescomplemented
129#2496C2212yes—
130#2496C2212yes—
131#2496C2212yescomplemented
132#2495C2212yes—
133#2494C2214yes—
134#2494C2214yes—
135#2494C2212yes—
136#2494C2212yes—
137#2494C2212yes—
138#2494C2211yescharacteristic
139#2494C2212yes—
140#2494C2214yescomplemented
141#2494C2212yescomplemented
142#2494C2212yescomplemented
143#2494C2212yescomplemented
144#2494C2212yescomplemented
145#2494C2214yescomplemented
146#2494C2212yescomplemented
147#2494C2211yescharacteristic, complemented
148#2494C2212yescomplemented
149#2494C2212yescomplemented
150#2493C2214yescomplemented
151#2493C2214yescomplemented
152#2493C2214yescomplemented
153#2492C2212yes—
154#2492C2212yes—
155#2491C2212yes—
156#2490C2212yes—
157#2489C2212yes—
158#2488C2214yes—
159#2488C2214yes—
160#2487C2212yes—
161#2487C2212yescomplemented
162#2485C2212yes—
163#2485C2212yescomplemented
164#2481C2214yes—
165#2480C2214yes—
166#2480C2214yes—
167#2480C2214yes—
168#2472C2214yes—
169#2472C2214yes—
170#2469C2214yescomplemented
171#2454C2212yes—
172#2453C2212yescomplemented
173#2450C2214yes—
174#2449C2214yescomplemented
175#2448C2214yescomplemented
176#2447C2212yes—
177#2442C2212yes—
178#2441C2212yescomplemented
179#2440C2212yescomplemented
180#2440C2212yescomplemented
181#2439C2212yescomplemented
182#2439C2212yescomplemented
183#2438C2214yescomplemented
184#2437C2214yes—
185#2421C2211yescharacteristic
186#2421C2212yescomplemented
187#2421C2211yescharacteristic, complemented
188#2421C2212yescomplemented
189#2417C2212yes—
190#2417C2212yescomplemented
191#2415C2212yes—
192#2415C2212yescomplemented
193#2401C2212yes—
194#2401C2212yescomplemented
195C2×#401C2214yescomplemented
196C2×#397C2214yes—
197#2373C2214yes—
198#2370C2212yescomplemented
199#2370C2212yescomplemented
200#2370C2212yescomplemented
201#2369C2211yescharacteristic, complemented
202#2368C2214yescomplemented
203#2368C2214yescomplemented
204#2368C2214yescomplemented
205#2367C2211yescharacteristic
206#2365C2212yescomplemented
207#2365C2212yescomplemented
208#2364C2212yes—
209#2363C2211yescharacteristic
210#2362C2212yes—
211#2362C2212yescomplemented
212#2360C2211yescharacteristic
213#2360C2214yescomplemented
214#2360C2212yescomplemented
215#2359C2212yes—
216#2358C2212yes—
217#2355C2212yescomplemented
218#2355C2211yescharacteristic, complemented
219#2355C2211yescharacteristic, complemented
220#2355C2211yescharacteristic, complemented
221#2354C2211yescharacteristic
222#2354C2211yescharacteristic
223#2354C2212yescomplemented
224#2352C2211yescharacteristic
225#2352C2212yes—
226#2352C2212yes—
227#2352C2212yescomplemented
228#2352C2212yescomplemented
229#2349C2211yescharacteristic
230#2349C2212yes—
231#2349C2212yes—
232#2349C2212yes—
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237#2347C2212yescomplemented
238#2347C2212yescomplemented
239#2347C2212yescomplemented
240#2346C2212yescomplemented
241#2345C2212yes—
242#2345C2214yescomplemented
243#2345C2212yescomplemented
244#2343C2214yescomplemented
245#2342C2214yes—
246#2342C2212yes—
247#2339C2211yescharacteristic
248#2339C2212yes—
249#2339C2212yes—
250D4×C22⋊C4C2211yescharacteristic
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253#2331C2212yescomplemented
254#2330C2212yescomplemented
255#2329C2214yescomplemented
256#2329C2214yescomplemented
257#2320C2212yescomplemented
258#2319C2212yes—
259#2318C2214yes—
260#2318C2214yescomplemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#125C2212yescomplemented
264C4×#125C2212yescomplemented
265C4×#124C2211yescharacteristic
266C4×#124C2212yes—
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2214yescomplemented
270C4×C22⋊Q8C2214yescomplemented
271C4×C22⋊Q8C2211yescharacteristic, complemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#123C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#120C2212yes—
277#2295C2212yescomplemented
278C2×#389C2212yescomplemented
279C2×#389C2212yescomplemented
280C2×#388C2214yes—
281C2×#387C2214yescomplemented
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic, complemented
284#2283C2211yescharacteristic
285#2283C2212yescomplemented
286#2283C2211yescharacteristic, complemented
287C2×#382C2212yescomplemented
288#2280C2212yes—
289C2×#380C2212yes—
290C2×#380C2212yes—
291#2275C2212yes—
292#2275C2212yes—
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#554—216no—
304#546—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2314yes—
317C2×#123C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#120C2312yes—
332C4×#41—28no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×D4—28no—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C22×C4⋊C4C2314yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2314yes—
384#401C2314yes—
385#401C2314yes—
386#401C2314yes—
387#401C2314yes—
388#401C2312yes—
389#401C2314yes—
390#401C2314yes—
391#401C2314yes—
392#401C2314yes—
393#401C2312yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2314yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
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#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#385C2312yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2312yes—
660#384C2312yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#383C2312yes—
664#383C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#382C2311yescharacteristic
671#382C2312yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2311yescharacteristic
675#382C2314yes—
676#382C2311yescharacteristic
677#382C2312yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#381C2314yes—
687#381C2314yes—
688#381C2312yes—
689#381C2314yes—
690#381C2312yes—
691#381C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2314yes—
699#380C2312yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2314yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#379C2314yes—
726#379C2314yes—
727#379C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2311yescharacteristic
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C23×C4—28no—
834C23×C4—44no—
835C23×C4—44no—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—28no—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8—42no—
859#126—48no—
860#126—84no—
861#125—28no—
862#125—28no—
863#125—28no—
864#124—24no—
865#124—44no—
866#124—84no—
867#123—28no—
868C22⋊Q8—216no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—216no—
874C22⋊Q8—44no—
875C22⋊Q8—42no—
876C22⋊Q8—44no—
877C22⋊Q8—42no—
878C22⋊Q8—82no—
879#121—28no—
880#121—24no—
881#120—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—42no—
887C4×Q8—42no—
888C4×Q8—82no—
889C4×Q8—84no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—42no—
907C4×D4#4118yes—
908C4×D4#4118yes—
909#117—24no—
910#117—28no—
911#117—44no—
912#117—44no—
913#117—44no—
914#117—82no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—216no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—84no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C22⋊C4—28no—
987C2×C22⋊C4—28no—
988C2×C22⋊C4—44no—
989C2×C22⋊C4—48no—
990C2×C22⋊C4—84no—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C42—28no—
1040C2×C42—24no—
1041C2×C42—24no—
1042C2×C42—44no—
1043C2×C42—84no—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—24no—
1165C24—24no—
1166C24—24no—
1167C24—24no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24C2512yes—
1172C24C2511yescharacteristic
1173C24C2511yescharacteristic
1174C24C2512yes—
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—28no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—41no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—416no—
1207C2×D4C2×#4114yes—
1208C2×D4C2×#4114yes—
1209C2×D42−1+414yes—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—816no—
1266C22×C4C2×#4118yes—
1267C22×C4C2×#4118yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2514yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—41no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4C2×#4114yes—
1362C4⋊C4C2×#4114yes—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4C2×#4118yes—
1410C22⋊C4C2×#4118yes—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—22no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—41no—
1439C42—42no—
1440C42—42no—
1441C42—41no—
1442C42—44no—
1443C42—42no—
1444C42—44no—
1445C42C2×#4114yes—
1446C42C2×#4114yes—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—48no—
1472C23—48no—
1473C23—48no—
1474C23—48no—
1475C23—84no—
1476C23—84no—
1477C23—84no—
1478C23C22×#4114yes—
1479C23C22×#4114yes—
1480C23C2×2−1+414yes—
1481C23#58512yes—
1482C23C2611yescharacteristic
1483Q8—44no—
1484Q8—44no—
1485Q8—88no—
1486Q8—84no—
1487Q8—84no—
1488D4—44no—
1489D4—48no—
1490D4—48no—
1491D4—44no—
1492D4—84no—
1493D4#556116yes—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—216no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—48no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—82no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—88no—
1589C2×C4—84no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—84no—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—24no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—816no—
1634C22C2×#55618yes—
1635C22C23×#4111yescharacteristic
1636C22C23×#4111yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C4—22no—
1643C4—24no—
1644C4—22no—
1645C4—24no—
1646C4—22no—
1647C4—42no—
1648C4—44no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—44no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4C2×#55614yes—
1672C4#352114yes—
1673C2—28no—
1674C2—42no—
1675C2—81no—
1676C2—82no—
1677C2C22×#55611yescharacteristic
1678C2C2×#352111yescharacteristic
1679C2#6281611yescharacteristic
1680C2#6295111yescharacteristic
1681C2#6299211yescharacteristic
1682C2#6300811yescharacteristic
1683C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59855C2semidirect
2. #59433C2semidirect
3. #59426C2semidirect
4. #59422C2semidirect
5. #59248C2semidirect
6. #59243C2semidirect
7. #59240C2semidirect
8. #59204C2semidirect
9. #45174C2semidirect
10. #45067C2semidirect
11. #43626C2semidirect
12. #43268C2semidirect
13. #39158C2semidirect
14. #39157C2semidirect
15. #39155C2semidirect
16. #39154C2semidirect
17. #38981C2semidirect
18. #38979C2semidirect
19. #36590C2semidirect
20. #36586C2semidirect
21. #36275C2semidirect
22. #36261C2semidirect
24. #36210C2semidirect
25. #36204C2semidirect
26. #36154C2semidirect
27. #36053C2semidirect
28. #35873C2semidirect
29. #34945C2semidirect
30. C2×#2494C2semidirect
31. #34333C2semidirect
32. #34194C2semidirect
33. #34191C2semidirect
34. C4×#554C2semidirect
42. #2859C22semidirect
44. #2857C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
49. #2800C22semidirect
50. #2789C22semidirect
51. #2789C22semidirect
53. #2787C22semidirect
55. #2786C22semidirect
56. #2783C22semidirect
57. #2777C22semidirect
58. #2776C22semidirect
59. #2775C22semidirect
60. #2767C22semidirect
61. #2762C22semidirect
62. #2759C22semidirect
63. #2759C22semidirect
64. #2758C22semidirect
65. #2745C22semidirect
66. #2740C22semidirect
67. #2715C22semidirect
68. #2700C22semidirect
70. #2645C22semidirect
73. #2643C22semidirect
74. #2604C22semidirect
76. #2596C22semidirect
77. #2596C22semidirect
78. #2594C22semidirect
79. #2594C22semidirect
80. #2594C22semidirect
83. #2584C22semidirect
84. #2583C22semidirect
85. #2582C22semidirect
88. #2573C22semidirect
89. #2573C22semidirect
90. #2571C22semidirect
91. #2571C22semidirect
92. #2568C22semidirect
93. #2567C22semidirect
97. #2552C22semidirect
98. #2551C22semidirect
99. #2550C22semidirect
100. #2549C22semidirect
102. #2547C22semidirect
105. #2528C22semidirect
106. #2527C22semidirect
107. #2525C22semidirect
108. #2525C22semidirect
111. #2514C22semidirect
112. #2514C22semidirect
113. #2514C22semidirect
114. #2514C22semidirect
115. #2514C22semidirect
116. #2514C22semidirect
117. #2514C22semidirect
123. #2510C22semidirect
124. #2510C22semidirect
125. #2510C22semidirect
126. #2509C22semidirect
127. #2509C22semidirect
128. #2499C22semidirect
131. #2496C22semidirect
140. #2494C22semidirect
141. #2494C22semidirect
142. #2494C22semidirect
143. #2494C22semidirect
144. #2494C22semidirect
145. #2494C22semidirect
146. #2494C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
150. #2493C22semidirect
151. #2493C22semidirect
152. #2493C22semidirect
161. #2487C22semidirect
163. #2485C22semidirect
170. #2469C22semidirect
172. #2453C22semidirect
174. #2449C22semidirect
175. #2448C22semidirect
178. #2441C22semidirect
179. #2440C22semidirect
180. #2440C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
183. #2438C22semidirect
186. #2421C22semidirect
187. #2421C22semidirect
188. #2421C22semidirect
190. #2417C22semidirect
192. #2415C22semidirect
194. #2401C22semidirect
195. C2×#401C22semidirect
198. #2370C22semidirect
199. #2370C22semidirect
200. #2370C22semidirect
201. #2369C22semidirect
202. #2368C22semidirect
203. #2368C22semidirect
204. #2368C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
211. #2362C22semidirect
213. #2360C22semidirect
214. #2360C22semidirect
217. #2355C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
223. #2354C22semidirect
227. #2352C22semidirect
228. #2352C22semidirect
237. #2347C22semidirect
238. #2347C22semidirect
239. #2347C22semidirect
240. #2346C22semidirect
242. #2345C22semidirect
243. #2345C22semidirect
244. #2343C22semidirect
253. #2331C22semidirect
254. #2330C22semidirect
255. #2329C22semidirect
256. #2329C22semidirect
257. #2320C22semidirect
260. #2318C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
277. #2295C22semidirect
278. C2×#389C22semidirect
279. C2×#389C22semidirect
281. C2×#387C22semidirect
283. #2285C22semidirect
285. #2283C22semidirect
286. #2283C22semidirect
287. C2×#382C22semidirect
293. C42×Q8C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598552
#594332
#594262
#594222
#592482
#592432
#592402
#592042
#451742
#450672
#436262
#432682
#391582
#391572
#391552
#391542
#389812
#389792
#365902
#365862
#362752
#362612
#362382
#362102
#362042
#361542
#360532
#358732
#349452
C2×#24942
#343332
#341942
#341912
C4×#5542
C4×#5462