Finite Group Databasebeta

← #7693299

Subgroups — #7693299

Order 512.

4784 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59768C212yesmaximal, complemented
2#59572C214yesmaximal, complemented
3#59428C211yesmaximal, characteristic, complemented
4#59416C212yesmaximal
5#59299C212yesmaximal, complemented
6#59257C211yesmaximal, characteristic, complemented
7#59249C211yesmaximal, characteristic, complemented
8#59204C212yesmaximal, complemented
9#45182C212yesmaximal, complemented
10#45171C212yesmaximal, complemented
11#44486C214yesmaximal, complemented
12#43635C214yesmaximal, complemented
13#39936C212yesmaximal, complemented
14#39932C212yesmaximal, complemented
15#39149C211yesmaximal, characteristic, complemented
16#39146C211yesmaximal, characteristic, complemented
17#38994C214yesmaximal, complemented
18#38971C212yesmaximal, complemented
19#36555C211yesmaximal, characteristic, complemented
20#36484C212yesmaximal, complemented
21#36417C212yesmaximal, complemented
22#36416C211yesmaximal, characteristic, complemented
23#36405C211yesmaximal, characteristic, complemented
24#36209C211yesmaximal, characteristic, complemented
25#36167C212yesmaximal, complemented
26#36161C211yesmaximal, characteristic, complemented
27#36055C212yesmaximal, complemented
28#35886C212yesmaximal, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34814C212yesmaximal, complemented
31#34326C212yesmaximal, complemented
32#34194C211yesmaximal, characteristic, complemented
33#34193C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#556C2212yes—
37C2×#556C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2865C2214yescomplemented
42#2864C2212yescomplemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2855C2212yescomplemented
47#2851C2212yescomplemented
48#2848C2212yes—
49#2796C2214yescomplemented
50#2782C2214yes—
51#2776C2214yescomplemented
52#2771C2214yescomplemented
53#2771C2214yescomplemented
54#2770C2214yescomplemented
55#2767C2214yescomplemented
56#2761C2214yescomplemented
57#2750C2214yes—
58#2750C2214yescomplemented
59#2746C2214yescomplemented
60#2745C2214yescomplemented
61#2745C2214yescomplemented
62#2744C2214yescomplemented
63#2743C2214yes—
64#2740C2214yescomplemented
65#2739C2214yes—
66#2735C2214yes—
67#2689C2214yescomplemented
68#2687C2214yes—
69#2685C2214yes—
70#2655C2214yescomplemented
71#2649C2214yescomplemented
72#2645C2212yescomplemented
73#2645C2212yescomplemented
74#2597C2214yescomplemented
75#2596C2214yescomplemented
76#2595C2214yes—
77#2595C2214yescomplemented
78#2589C2214yescomplemented
79#2588C2214yescomplemented
80#2587C2214yes—
81#2587C2214yescomplemented
82#2587C2214yescomplemented
83#2582C2211yescharacteristic, complemented
84#2581C2212yescomplemented
85#2580C2212yes—
86#2577C2214yes—
87#2577C2214yes—
88#2576C2214yes—
89#2575C2214yescomplemented
90#2573C2212yes—
91#2573C2212yescomplemented
92#2573C2214yescomplemented
93#2571C2211yescharacteristic, complemented
94#2571C2211yescharacteristic, complemented
95#2570C2212yescomplemented
96#2568C2211yescharacteristic, complemented
97#2566C2212yes—
98#2562C2212yescomplemented
99#2559C2214yes—
100#2553C2214yes—
101#2552C2211yescharacteristic, complemented
102#2547C2211yescharacteristic
103#2547C2211yescharacteristic
104#2546C2211yescharacteristic, complemented
105#2538C2211yescharacteristic
106#2538C2211yescharacteristic
107#2536C2212yes—
108#2533C2214yescomplemented
109#2530C2214yes—
110#2530C2214yescomplemented
111#2530C2214yescomplemented
112#2528C2214yescomplemented
113#2526C2214yescomplemented
114#2524C2214yescomplemented
115#2522C2214yescomplemented
116#2521C2214yes—
117#2515C2214yescomplemented
118#2514C2212yescomplemented
119#2511C2212yescomplemented
120#2510C2214yescomplemented
121#2509C2212yescomplemented
122#2509C2214yescomplemented
123#2509C2212yescomplemented
124#2509C2212yescomplemented
125#2508C2212yescomplemented
126#2508C2212yescomplemented
127#2505C2214yescomplemented
128#2503C2212yescomplemented
129#2497C2212yes—
130#2497C2212yescomplemented
131#2496C2212yes—
132#2496C2212yes—
133#2496C2212yescomplemented
134#2496C2212yescomplemented
135#2495C2212yes—
136#2495C2212yescomplemented
137#2495C2212yescomplemented
138#2495C2212yescomplemented
139#2495C2214yescomplemented
140#2494C2212yes—
141#2494C2211yescharacteristic
142#2494C2212yescomplemented
143#2494C2211yescharacteristic, complemented
144#2493C2214yescomplemented
145#2493C2214yescomplemented
146#2493C2214yescomplemented
147#2493C2214yescomplemented
148#2489C2212yes—
149#2489C2212yes—
150#2489C2212yescomplemented
151#2487C2212yescomplemented
152#2485C2212yes—
153#2485C2212yes—
154#2485C2212yes—
155#2485C2212yescomplemented
156#2483C2214yes—
157#2480C2214yes—
158#2480C2214yes—
159#2480C2214yes—
160#2480C2214yes—
161#2478C2214yes—
162#2478C2214yescomplemented
163#2478C2214yescomplemented
164#2476C2214yes—
165#2472C2214yes—
166#2468C2214yescomplemented
167#2466C2214yes—
168#2454C2212yes—
169#2453C2212yescomplemented
170#2447C2212yes—
171#2447C2212yes—
172#2447C2212yes—
173#2447C2212yes—
174#2446C2212yescomplemented
175#2442C2212yescomplemented
176#2441C2212yescomplemented
177#2440C2212yescomplemented
178#2439C2212yescomplemented
179#2435C2212yes—
180#2432C2212yes—
181#2429C2212yes—
182#2427C2212yes—
183#2423C2212yescomplemented
184#2423C2212yescomplemented
185#2421C2212yes—
186#2421C2211yescharacteristic
187#2421C2212yes—
188#2421C2211yescharacteristic, complemented
189#2420C2212yes—
190#2415C2212yes—
191#2415C2212yescomplemented
192#2415C2212yescomplemented
193#2401C2212yes—
194#2401C2214yes—
195#2401C2214yescomplemented
196#2401C2212yescomplemented
197#2373C2214yescomplemented
198#2373C2214yescomplemented
199#2373C2214yescomplemented
200#2370C2212yescomplemented
201#2370C2212yescomplemented
202#2368C2214yescomplemented
203#2367C2211yescharacteristic
204#2367C2212yes—
205#2367C2212yes—
206#2365C2212yescomplemented
207#2365C2211yescharacteristic, complemented
208#2364C2212yes—
209#2363C2211yescharacteristic
210#2362C2212yescomplemented
211#2362C2212yescomplemented
212#2360C2211yescharacteristic
213#2360C2212yes—
214#2360C2212yescomplemented
215#2359C2212yes—
216#2358C2212yes—
217#2357C2212yes—
218#2356C2212yescomplemented
219#2356C2212yescomplemented
220#2355C2212yescomplemented
221#2355C2212yescomplemented
222#2355C2211yescharacteristic, complemented
223#2354C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2211yescharacteristic
226#2354C2212yescomplemented
227#2354C2212yescomplemented
228#2352C2212yes—
229#2352C2211yescharacteristic
230#2352C2212yes—
231#2352C2212yescomplemented
232Q8×C4⋊C4C2211yescharacteristic, complemented
233Q8×C4⋊C4C2211yescharacteristic, complemented
234#2349C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237#2347C2212yescomplemented
238#2347C2214yescomplemented
239#2347C2212yescomplemented
240#2346C2212yes—
241#2346C2212yescomplemented
242#2345C2212yes—
243#2345C2212yescomplemented
244#2344C2212yescomplemented
245#2343C2214yescomplemented
246#2342C2214yes—
247#2342C2212yes—
248#2342C2214yes—
249#2341C2212yes—
250#2339C2211yescharacteristic
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2211yescharacteristic
253#2334C2214yescomplemented
254#2332C2214yescomplemented
255#2327C2212yescomplemented
256#2326C2212yes—
257#2319C2212yes—
258#2319C2212yes—
259#2319C2214yescomplemented
260#2318C2214yes—
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#126C2214yes—
264C4×#126C2214yescomplemented
265C4×#126C2214yescomplemented
266C4×#124C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×#123C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#120C2212yes—
278#2298C2214yescomplemented
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2295C2212yescomplemented
282#2285C2211yescharacteristic
283#2285C2212yescomplemented
284#2285C2211yescharacteristic, complemented
285#2283C2211yescharacteristic
286#2283C2212yescomplemented
287#2283C2211yescharacteristic, complemented
288#2280C2212yes—
289#2280C2212yes—
290C2×#380C2212yes—
291#2276C2212yescomplemented
292#2275C2212yes—
293C42×Q8C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—216no—
303#556—28no—
304#546—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#123C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#120C2312yes—
330C4×#41—28no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×D4—28no—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2312yes—
381#401C2314yes—
382#401C2314yes—
383#401C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2314yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2314yes—
480#390C2314yes—
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#389C2312yes—
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2312yes—
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#388C2312yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2312yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
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#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2312yes—
623#386C2312yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#385C2314yes—
630#385C2314yes—
631#385C2312yes—
632#385C2314yes—
633#385C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#384C2311yescharacteristic
654#384C2311yescharacteristic
655#384C2312yes—
656#384C2312yes—
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2312yes—
660#383C2314yes—
661#383C2314yes—
662#383C2314yes—
663#383C2312yes—
664#383C2312yes—
665#383C2314yes—
666#382C2312yes—
667#382C2311yescharacteristic
668#382C2311yescharacteristic
669#382C2312yes—
670#382C2311yescharacteristic
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2312yes—
674#382C2314yes—
675#382C2314yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2314yes—
679#382C2312yes—
680#382C2312yes—
681#381C2312yes—
682#381C2312yes—
683#381C2314yes—
684#381C2314yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2312yes—
689#381C2314yes—
690#381C2314yes—
691#380C2311yescharacteristic
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2314yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2312yes—
708#380C2314yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#379C2314yes—
723#379C2314yes—
724#379C2312yes—
725#379C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4—44no—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—42no—
855#126—216no—
856#126—216no—
857#126—216no—
858#126—48no—
859#125—44no—
860#125—44no—
861#124—28no—
862#124—28no—
863#124—44no—
864#124#4118yes—
865#123—28no—
866C22⋊Q8—24no—
867C22⋊Q8—28no—
868C22⋊Q8—216no—
869C22⋊Q8—44no—
870C22⋊Q8—42no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—42no—
874#121—24no—
875#121—28no—
876#120—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—42no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—42no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4#4118yes—
905#117—28no—
906#117—24no—
907#117—28no—
908#117—216no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—44no—
913#117—44no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4—28no—
983C2×C22⋊C4—28no—
984C2×C22⋊C4—44no—
985C2×C22⋊C4—48no—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C42—28no—
1037C2×C42—24no—
1038C2×C42—24no—
1039C2×C42—44no—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24—24no—
1161C24—24no—
1162C24—24no—
1163C24—42no—
1164C24—42no—
1165C24—42no—
1166C24—42no—
1167C24C2511yescharacteristic
1168C24C2512yes—
1169C24C2512yes—
1170C24C2511yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8C2×#4114yes—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—416no—
1201C2×D4C2×#4114yes—
1202C2×D4C2×#4114yes—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—28no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—41no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—816no—
1254C22×C4C2×#4118yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4C2×#4114yes—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—22no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—42no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4C2×#4118yes—
1399C22⋊C4C2×#4118yes—
1400C22⋊C4C2×#4118yes—
1401C42—22no—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—28no—
1411C42—28no—
1412C42—28no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—42no—
1422C42—42no—
1423C42—41no—
1424C42—42no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—41no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—44no—
1437C42C2×#4114yes—
1438C42C2×#4114yes—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—48no—
1465C23—48no—
1466C23—48no—
1467C23—84no—
1468C23—84no—
1469C23—84no—
1470C23—84no—
1471C23C22×#4114yes—
1472C23C22×#4114yes—
1473C23#58512yes—
1474C23C2611yescharacteristic
1475Q8—28no—
1476Q8—48no—
1477Q8—44no—
1478Q8—84no—
1479D4—28no—
1480D4—28no—
1481D4—44no—
1482D4—48no—
1483D4—48no—
1484D4—84no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—216no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—82no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—164no—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4114yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4#58512yes—
1593C2×C4#58512yes—
1594C2×C4#58512yes—
1595C22—22no—
1596C22—24no—
1597C22—24no—
1598C22—22no—
1599C22—24no—
1600C22—24no—
1601C22—22no—
1602C22—24no—
1603C22—24no—
1604C22—42no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—816no—
1624C22C23×#4111yescharacteristic
1625C22C23×#4111yescharacteristic
1626C22C2×#58511yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C222−1+611yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—24no—
1634C4—22no—
1635C4—24no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—44no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—41no—
1656C4—44no—
1657C4—42no—
1658C4—41no—
1659C4—44no—
1660C4#347514yes—
1661C4#352114yes—
1662C2—44no—
1663C2—44no—
1664C2—42no—
1665C2—81no—
1666C2C2×#347511yescharacteristic
1667C2C2×#352111yescharacteristic
1668C2#6281611yescharacteristic
1669C2#6296711yescharacteristic
1670C2#6299311yescharacteristic
1671C2#6299511yescharacteristic
1672C2#6302911yescharacteristic
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. #59768C2semidirect
2. #59572C2semidirect
3. #59428C2semidirect
5. #59299C2semidirect
6. #59257C2semidirect
7. #59249C2semidirect
8. #59204C2semidirect
9. #45182C2semidirect
10. #45171C2semidirect
11. #44486C2semidirect
12. #43635C2semidirect
13. #39936C2semidirect
14. #39932C2semidirect
15. #39149C2semidirect
16. #39146C2semidirect
17. #38994C2semidirect
18. #38971C2semidirect
19. #36555C2semidirect
20. #36484C2semidirect
21. #36417C2semidirect
22. #36416C2semidirect
23. #36405C2semidirect
24. #36209C2semidirect
25. #36167C2semidirect
26. #36161C2semidirect
27. #36055C2semidirect
28. #35886C2semidirect
29. #34945C2semidirect
30. #34814C2semidirect
31. #34326C2semidirect
32. #34194C2semidirect
33. #34193C2semidirect
34. C4×#556C2semidirect
41. #2865C22semidirect
42. #2864C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2851C22semidirect
49. #2796C22semidirect
51. #2776C22semidirect
52. #2771C22semidirect
53. #2771C22semidirect
54. #2770C22semidirect
55. #2767C22semidirect
56. #2761C22semidirect
58. #2750C22semidirect
59. #2746C22semidirect
60. #2745C22semidirect
61. #2745C22semidirect
62. #2744C22semidirect
64. #2740C22semidirect
67. #2689C22semidirect
70. #2655C22semidirect
71. #2649C22semidirect
72. #2645C22semidirect
73. #2645C22semidirect
74. #2597C22semidirect
75. #2596C22semidirect
77. #2595C22semidirect
78. #2589C22semidirect
79. #2588C22semidirect
81. #2587C22semidirect
82. #2587C22semidirect
83. #2582C22semidirect
84. #2581C22semidirect
89. #2575C22semidirect
91. #2573C22semidirect
92. #2573C22semidirect
93. #2571C22semidirect
94. #2571C22semidirect
95. #2570C22semidirect
96. #2568C22semidirect
98. #2562C22semidirect
101. #2552C22semidirect
104. #2546C22semidirect
108. #2533C22semidirect
110. #2530C22semidirect
111. #2530C22semidirect
112. #2528C22semidirect
113. #2526C22semidirect
114. #2524C22semidirect
115. #2522C22semidirect
117. #2515C22semidirect
118. #2514C22semidirect
119. #2511C22semidirect
120. #2510C22semidirect
121. #2509C22semidirect
122. #2509C22semidirect
123. #2509C22semidirect
124. #2509C22semidirect
125. #2508C22semidirect
126. #2508C22semidirect
127. #2505C22semidirect
128. #2503C22semidirect
130. #2497C22semidirect
133. #2496C22semidirect
134. #2496C22semidirect
136. #2495C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2495C22semidirect
142. #2494C22semidirect
143. #2494C22semidirect
144. #2493C22semidirect
145. #2493C22semidirect
146. #2493C22semidirect
147. #2493C22semidirect
150. #2489C22semidirect
151. #2487C22semidirect
155. #2485C22semidirect
162. #2478C22semidirect
163. #2478C22semidirect
166. #2468C22semidirect
169. #2453C22semidirect
174. #2446C22semidirect
175. #2442C22semidirect
176. #2441C22semidirect
177. #2440C22semidirect
178. #2439C22semidirect
183. #2423C22semidirect
184. #2423C22semidirect
188. #2421C22semidirect
191. #2415C22semidirect
192. #2415C22semidirect
195. #2401C22semidirect
196. #2401C22semidirect
197. #2373C22semidirect
198. #2373C22semidirect
199. #2373C22semidirect
200. #2370C22semidirect
201. #2370C22semidirect
202. #2368C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
210. #2362C22semidirect
211. #2362C22semidirect
214. #2360C22semidirect
218. #2356C22semidirect
219. #2356C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
226. #2354C22semidirect
227. #2354C22semidirect
231. #2352C22semidirect
232. Q8×C4⋊C4C22semidirect
233. Q8×C4⋊C4C22semidirect
237. #2347C22semidirect
238. #2347C22semidirect
239. #2347C22semidirect
241. #2346C22semidirect
243. #2345C22semidirect
244. #2344C22semidirect
245. #2343C22semidirect
253. #2334C22semidirect
254. #2332C22semidirect
255. #2327C22semidirect
259. #2319C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
264. C4×#126C22semidirect
265. C4×#126C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
278. #2298C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
281. #2295C22semidirect
283. #2285C22semidirect
284. #2285C22semidirect
286. #2283C22semidirect
287. #2283C22semidirect
291. #2276C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#597682
#595722
#594282
#594162
#592992
#592572
#592492
#592042
#451822
#451712
#444862
#436352
#399362
#399322
#391492
#391462
#389942
#389712
#365552
#364842
#364172
#364162
#364052
#362092
#361672
#361612
#360552
#358862
#349452
#348142
#343262
#341942
#341932
C4×#5562
C4×#5462