Finite Group Databasebeta

← #7690719

Subgroups — #7690719

Order 512.

4863 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#59859C212yesmaximal, complemented
2#59538C214yesmaximal, complemented
3#59488C212yesmaximal, complemented
4#59437C211yesmaximal, characteristic, complemented
5#59305C211yesmaximal, characteristic, complemented
6#59294C212yesmaximal, complemented
7#59248C211yesmaximal, characteristic, complemented
8#59206C212yesmaximal, complemented
9#45383C212yesmaximal, complemented
10#45108C212yesmaximal
11#44482C214yesmaximal, complemented
12#43627C214yesmaximal, complemented
13#39914C212yesmaximal, complemented
14#39908C212yesmaximal, complemented
15#39350C211yesmaximal, characteristic, complemented
16#39112C214yesmaximal, complemented
17#39068C212yesmaximal, complemented
18#38943C211yesmaximal, characteristic, complemented
19#36554C212yesmaximal, complemented
20#36449C212yesmaximal, complemented
21#36407C211yesmaximal, characteristic, complemented
22#36405C211yesmaximal, characteristic, complemented
23#36299C211yesmaximal, characteristic, complemented
24#36190C212yesmaximal, complemented
25#36189C211yesmaximal, characteristic, complemented
26#36161C211yesmaximal, characteristic, complemented
27#35984C212yesmaximal, complemented
28#35973C212yesmaximal, complemented
29#34898C211yesmaximal, characteristic, complemented
30#34814C212yesmaximal, complemented
31#34285C212yesmaximal, complemented
32#34194C211yesmaximal, characteristic, complemented
33#34188C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#542C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2863C2214yescomplemented
42#2863C2212yescomplemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2857C2212yescomplemented
47#2855C2212yescomplemented
48#2848C2212yes—
49#2790C2214yescomplemented
50#2789C2214yescomplemented
51#2787C2214yescomplemented
52#2787C2214yescomplemented
53#2769C2214yescomplemented
54#2764C2214yescomplemented
55#2750C2214yescomplemented
56#2746C2214yes—
57#2746C2214yescomplemented
58#2744C2214yes—
59#2744C2214yescomplemented
60#2739C2214yescomplemented
61#2739C2214yescomplemented
62#2738C2214yescomplemented
63#2735C2214yes—
64#2717C2214yescomplemented
65#2708C2214yes—
66#2698C2214yescomplemented
67#2695C2214yes—
68#2687C2214yes—
69#2684C2214yes—
70#2655C2214yescomplemented
71#2652C2214yescomplemented
72#2642C2212yescomplemented
73#2625C2212yescomplemented
74#2609C2214yes—
75#2599C2214yes—
76#2599C2214yescomplemented
77#2590C2214yescomplemented
78#2589C2214yes—
79#2585C2214yescomplemented
80#2582C2211yescharacteristic, complemented
81#2579C2214yescomplemented
82#2578C2214yes—
83#2578C2214yes—
84#2578C2214yes—
85#2578C2214yescomplemented
86#2578C2214yescomplemented
87#2577C2214yescomplemented
88#2577C2212yescomplemented
89#2577C2214yescomplemented
90#2576C2214yes—
91#2575C2212yes—
92#2574C2214yes—
93#2574C2214yescomplemented
94#2573C2214yescomplemented
95#2571C2212yescomplemented
96#2570C2211yescharacteristic, complemented
97#2570C2212yescomplemented
98#2569C2214yescomplemented
99#2566C2212yes—
100#2565C2211yescharacteristic, complemented
101#2562C2211yescharacteristic
102#2556C2214yescomplemented
103#2552C2211yescharacteristic, complemented
104#2551C2211yescharacteristic, complemented
105#2547C2212yes—
106#2547C2211yescharacteristic
107#2547C2212yescomplemented
108#2546C2211yescharacteristic, complemented
109#2538C2211yescharacteristic
110#2536C2211yescharacteristic
111#2534C2214yes—
112#2530C2214yescomplemented
113#2530C2214yescomplemented
114#2524C2212yescomplemented
115#2524C2214yescomplemented
116#2522C2214yes—
117#2522C2214yes—
118#2520C2214yescomplemented
119#2515C2214yescomplemented
120#2515C2214yescomplemented
121#2514C2212yescomplemented
122#2514C2212yescomplemented
123#2514C2212yescomplemented
124#2511C2212yescomplemented
125#2509C2212yescomplemented
126#2508C2212yescomplemented
127#2507C2212yescomplemented
128#2507C2212yescomplemented
129#2505C2214yescomplemented
130#2502C2212yescomplemented
131#2497C2212yes—
132#2497C2212yes—
133#2497C2212yescomplemented
134#2496C2211yescharacteristic
135#2496C2212yescomplemented
136#2495C2212yes—
137#2495C2212yescomplemented
138#2495C2211yescharacteristic, complemented
139#2495C2212yescomplemented
140#2494C2212yes—
141#2494C2212yes—
142#2494C2212yescomplemented
143#2494C2214yescomplemented
144#2493C2214yescomplemented
145#2493C2214yescomplemented
146#2493C2214yescomplemented
147#2492C2212yes—
148#2492C2212yes—
149#2489C2212yes—
150#2487C2212yes—
151#2486C2212yescomplemented
152#2485C2212yes—
153#2485C2212yescomplemented
154#2482C2214yes—
155#2480C2214yes—
156#2480C2214yes—
157#2480C2214yes—
158#2478C2214yescomplemented
159#2475C2214yescomplemented
160#2468C2212yes—
161#2468C2214yescomplemented
162#2466C2214yes—
163#2454C2212yes—
164#2452C2212yes—
165#2451C2212yescomplemented
166#2447C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2447C2212yes—
170#2446C2212yescomplemented
171#2442C2212yescomplemented
172#2442C2212yescomplemented
173#2442C2212yescomplemented
174#2441C2212yes—
175#2441C2212yescomplemented
176#2440C2212yescomplemented
177#2439C2212yescomplemented
178#2438C2214yescomplemented
179#2437C2214yes—
180#2435C2212yes—
181#2432C2212yes—
182#2429C2212yes—
183#2427C2214yes—
184#2423C2211yescharacteristic
185#2423C2212yes—
186#2421C2214yescomplemented
187#2421C2211yescharacteristic, complemented
188#2421C2212yescomplemented
189#2417C2212yes—
190#2417C2212yescomplemented
191#2415C2212yes—
192#2415C2212yescomplemented
193#2402C2212yescomplemented
194#2401C2214yes—
195#2401C2214yescomplemented
196#2395C2212yes—
197#2374C2214yescomplemented
198#2373C2214yescomplemented
199#2370C2212yescomplemented
200#2369C2212yescomplemented
201#2368C2214yescomplemented
202#2367C2212yes—
203#2367C2212yes—
204#2367C2212yes—
205#2367C2211yescharacteristic
206#2365C2211yescharacteristic, complemented
207#2365C2212yescomplemented
208#2365C2212yescomplemented
209#2365C2212yescomplemented
210#2364C2212yes—
211#2363C2211yescharacteristic
212#2362C2212yescomplemented
213#2362C2212yescomplemented
214#2362C2214yescomplemented
215#2361C2212yes—
216#2360C2212yes—
217#2360C2211yescharacteristic
218#2360C2212yescomplemented
219#2360C2212yescomplemented
220#2359C2212yes—
221#2359C2214yescomplemented
222#2358C2212yes—
223#2356C2212yescomplemented
224#2355C2211yescharacteristic, complemented
225#2355C2211yescharacteristic, complemented
226#2355C2211yescharacteristic, complemented
227#2355C2212yescomplemented
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2352C2212yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235#2352C2212yes—
236#2352C2212yescomplemented
237#2352C2212yescomplemented
238#2352C2214yescomplemented
239#2349C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yescomplemented
243#2347C2212yescomplemented
244#2345C2212yes—
245#2345C2212yescomplemented
246#2345C2212yescomplemented
247#2344C2212yescomplemented
248#2342C2214yes—
249#2342C2212yes—
250#2342C2214yes—
251#2339C2211yescharacteristic
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2211yescharacteristic
254#2337C2214yescomplemented
255#2334C2214yescomplemented
256#2320C2212yescomplemented
257#2319C2212yes—
258#2318C2214yes—
259#2314C2214yescomplemented
260#2311C2212yes—
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#125C2211yescharacteristic, complemented
263C4×#126C2212yes—
264C4×#126C2214yes—
265C4×#126C2214yescomplemented
266C4×#126C2214yescomplemented
267C4×#124C2211yescharacteristic
268C4×#124C2212yes—
269C4×#124C2214yescomplemented
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×#123C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#120C2212yes—
278#2298C2212yescomplemented
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2293C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic, complemented
284#2285C2212yescomplemented
285#2285C2212yescomplemented
286C2×#384C2211yescharacteristic, complemented
287#2283C2211yescharacteristic
288#2280C2212yes—
289#2280C2212yes—
290C2×#380C2212yes—
291#2275C2212yes—
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#546—28no—
304#542—216no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#120C2312yes—
333C4×#41—28no—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2314yes—
343C2×C4×D4—28no—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2314yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2314yes—
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2314yes—
387#401C2314yes—
388#401C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2312yes—
410#399C2314yes—
411#399C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#390C2311yescharacteristic
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2314yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#388C2312yes—
529#388C2312yes—
530#388C2314yes—
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2312yes—
625#386C2314yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2312yes—
640#385C2314yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#384C2311yescharacteristic
656#384C2311yescharacteristic
657#384C2312yes—
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2312yes—
664#383C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2312yes—
670#383C2314yes—
671#382C2311yescharacteristic
672#382C2311yescharacteristic
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2314yes—
679#382C2312yes—
680#382C2314yes—
681#382C2314yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#381C2314yes—
685#381C2314yes—
686#381C2312yes—
687#381C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#380C2311yescharacteristic
692#380C2311yescharacteristic
693#380C2311yescharacteristic
694#380C2311yescharacteristic
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#379C2314yes—
726#379C2314yes—
727#379C2312yes—
728#379C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C43C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
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×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C4⋊Q8—28no—
854C4⋊Q8—24no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857#126—216no—
858#126—216no—
859#126—28no—
860#125—42no—
861#125—44no—
862#125—82no—
863#124—28no—
864#124—216no—
865#124—24no—
866#124—28no—
867#123—216no—
868#123—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—216no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—42no—
876C22⋊Q8—42no—
877C22⋊Q8—84no—
878#121—28no—
879#121#4118yes—
880#120—28no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—42no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—84no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—84no—
907C4×D4#4118yes—
908#117—28no—
909#117—28no—
910#117—24no—
911#117—28no—
912#117—44no—
913#117—44no—
914#117—44no—
915#117—84no—
916#117—84no—
917#117—82no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—82no—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4—28no—
993C2×C22⋊C4—28no—
994C2×C22⋊C4—28no—
995C2×C22⋊C4—84no—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C42—28no—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—44no—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086#95C2412yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2414yes—
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166C24—24no—
1167C24—24no—
1168C24—24no—
1169C24—42no—
1170C24—42no—
1171C24—42no—
1172C24—42no—
1173C24C2512yes—
1174C24C2512yes—
1175C24C2511yescharacteristic
1176C24C2511yescharacteristic
1177#41—416no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—28no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—42no—
1201C2×D4—41no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—416no—
1206C2×D4C2×#4114yes—
1207C2×D4C2×#4114yes—
1208C2×D4C2×#4118yes—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—816no—
1262C22×C4C2×#4118yes—
1263C22×C4C2×#4114yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4C2×#4114yes—
1362C4⋊C4C2×#4114yes—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—22no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—22no—
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—44no—
1397C22⋊C4—44no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4C2×#4118yes—
1410C22⋊C4C2×#4118yes—
1411C22⋊C42−1+414yes—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—28no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—28no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—42no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—42no—
1445C42—44no—
1446C42—42no—
1447C42—41no—
1448C42C2×#4114yes—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—21no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—48no—
1474C23—48no—
1475C23—48no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23C22×#4112yes—
1481C23C22×#4114yes—
1482C23C22×#4114yes—
1483C23C2×2−1+412yes—
1484C23C2611yescharacteristic
1485Q8—48no—
1486Q8—44no—
1487Q8—44no—
1488Q8—88no—
1489D4—28no—
1490D4—28no—
1491D4—48no—
1492D4—44no—
1493D4—48no—
1494D4—48no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—28no—
1508C2×C4—216no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—164no—
1593C2×C4—164no—
1594C2×C4C22×#4114yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C22—24no—
1607C22—22no—
1608C22—22no—
1609C22—24no—
1610C22—22no—
1611C22—24no—
1612C22—22no—
1613C22—22no—
1614C22—24no—
1615C22—22no—
1616C22—24no—
1617C22—24no—
1618C22—42no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—816no—
1635C22C23×#4111yescharacteristic
1636C22C23×#4111yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C4—24no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—24no—
1647C4—22no—
1648C4—41no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—44no—
1667C4—41no—
1668C4—44no—
1669C4—42no—
1670C4—44no—
1671C4#347514yes—
1672C4#352114yes—
1673C2—42no—
1674C2—44no—
1675C2—44no—
1676C2—42no—
1677C2C2×#347511yescharacteristic
1678C2C2×#352111yescharacteristic
1679C2#6280511yescharacteristic
1680C2#6296611yescharacteristic
1681C2#6299211yescharacteristic
1682C2#6300011yescharacteristic
1683C2#6302511yescharacteristic
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. #59859C2semidirect
2. #59538C2semidirect
3. #59488C2semidirect
4. #59437C2semidirect
5. #59305C2semidirect
6. #59294C2semidirect
7. #59248C2semidirect
8. #59206C2semidirect
9. #45383C2semidirect
11. #44482C2semidirect
12. #43627C2semidirect
13. #39914C2semidirect
14. #39908C2semidirect
15. #39350C2semidirect
16. #39112C2semidirect
17. #39068C2semidirect
18. #38943C2semidirect
19. #36554C2semidirect
20. #36449C2semidirect
21. #36407C2semidirect
22. #36405C2semidirect
23. #36299C2semidirect
24. #36190C2semidirect
25. #36189C2semidirect
26. #36161C2semidirect
27. #35984C2semidirect
28. #35973C2semidirect
29. #34898C2semidirect
30. #34814C2semidirect
31. #34285C2semidirect
32. #34194C2semidirect
33. #34188C2semidirect
34. C4×#556C2semidirect
41. #2863C22semidirect
42. #2863C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2857C22semidirect
47. #2855C22semidirect
49. #2790C22semidirect
50. #2789C22semidirect
51. #2787C22semidirect
52. #2787C22semidirect
53. #2769C22semidirect
54. #2764C22semidirect
55. #2750C22semidirect
57. #2746C22semidirect
59. #2744C22semidirect
60. #2739C22semidirect
61. #2739C22semidirect
62. #2738C22semidirect
64. #2717C22semidirect
66. #2698C22semidirect
70. #2655C22semidirect
71. #2652C22semidirect
72. #2642C22semidirect
73. #2625C22semidirect
76. #2599C22semidirect
77. #2590C22semidirect
79. #2585C22semidirect
80. #2582C22semidirect
81. #2579C22semidirect
85. #2578C22semidirect
86. #2578C22semidirect
87. #2577C22semidirect
88. #2577C22semidirect
89. #2577C22semidirect
93. #2574C22semidirect
94. #2573C22semidirect
95. #2571C22semidirect
96. #2570C22semidirect
97. #2570C22semidirect
98. #2569C22semidirect
100. #2565C22semidirect
102. #2556C22semidirect
103. #2552C22semidirect
104. #2551C22semidirect
107. #2547C22semidirect
108. #2546C22semidirect
112. #2530C22semidirect
113. #2530C22semidirect
114. #2524C22semidirect
115. #2524C22semidirect
118. #2520C22semidirect
119. #2515C22semidirect
120. #2515C22semidirect
121. #2514C22semidirect
122. #2514C22semidirect
123. #2514C22semidirect
124. #2511C22semidirect
125. #2509C22semidirect
126. #2508C22semidirect
127. #2507C22semidirect
128. #2507C22semidirect
129. #2505C22semidirect
130. #2502C22semidirect
133. #2497C22semidirect
135. #2496C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2495C22semidirect
142. #2494C22semidirect
143. #2494C22semidirect
144. #2493C22semidirect
145. #2493C22semidirect
146. #2493C22semidirect
151. #2486C22semidirect
153. #2485C22semidirect
158. #2478C22semidirect
159. #2475C22semidirect
161. #2468C22semidirect
165. #2451C22semidirect
170. #2446C22semidirect
171. #2442C22semidirect
172. #2442C22semidirect
173. #2442C22semidirect
175. #2441C22semidirect
176. #2440C22semidirect
177. #2439C22semidirect
178. #2438C22semidirect
186. #2421C22semidirect
187. #2421C22semidirect
188. #2421C22semidirect
190. #2417C22semidirect
192. #2415C22semidirect
193. #2402C22semidirect
195. #2401C22semidirect
197. #2374C22semidirect
198. #2373C22semidirect
199. #2370C22semidirect
200. #2369C22semidirect
201. #2368C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
208. #2365C22semidirect
209. #2365C22semidirect
212. #2362C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
218. #2360C22semidirect
219. #2360C22semidirect
221. #2359C22semidirect
223. #2356C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
227. #2355C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
242. D4×C4⋊C4C22semidirect
243. #2347C22semidirect
245. #2345C22semidirect
246. #2345C22semidirect
247. #2344C22semidirect
254. #2337C22semidirect
255. #2334C22semidirect
256. #2320C22semidirect
259. #2314C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×#125C22semidirect
265. C4×#126C22semidirect
266. C4×#126C22semidirect
269. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
278. #2298C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
283. #2285C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. C2×#384C22semidirect
292. #2274C22semidirect
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
#598592
#595382
#594882
#594372
#593052
#592942
#592482
#592062
#453832
#451082
#444822
#436272
#399142
#399082
#393502
#391122
#390682
#389432
#365542
#364492
#364072
#364052
#362992
#361902
#361892
#361612
#359842
#359732
#348982
#348142
#342852
#341942
#341882
C4×#5562
C4×#5462