Finite Group Databasebeta

← #7690809

Subgroups — #7690809

Order 512.

4908 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59858C212yesmaximal, complemented
2#59609C214yesmaximal, complemented
3#59435C211yesmaximal, characteristic, complemented
4#59374C212yesmaximal, complemented
5#59297C212yesmaximal, complemented
6#59244C211yesmaximal, characteristic, complemented
7#59228C211yesmaximal, characteristic, complemented
8#59200C212yesmaximal, complemented
9#45404C212yesmaximal, complemented
10#45172C212yesmaximal, complemented
11#44487C214yesmaximal, complemented
12#43640C214yesmaximal, complemented
13#39937C212yesmaximal, complemented
14#39934C212yesmaximal, complemented
15#39607C211yesmaximal, characteristic, complemented
16#39158C211yesmaximal, characteristic, complemented
17#39090C214yesmaximal, complemented
18#39046C212yesmaximal, complemented
19#36464C211yesmaximal, characteristic, complemented
20#36461C212yesmaximal, complemented
21#36411C211yesmaximal, characteristic, complemented
22#36407C211yesmaximal, characteristic, complemented
23#36315C212yesmaximal, complemented
24#36209C211yesmaximal, characteristic, complemented
25#36203C212yesmaximal, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36058C212yesmaximal, complemented
28#36017C212yesmaximal, complemented
29#34917C211yesmaximal, characteristic, complemented
30#34814C212yesmaximal, complemented
31#34307C212yesmaximal, complemented
32#34193C211yesmaximal, characteristic, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#555C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2861C2214yescomplemented
42#2859C2211yescharacteristic, complemented
43#2857C2211yescharacteristic
44#2857C2212yescomplemented
45#2857C2211yescharacteristic, complemented
46#2854C2212yes—
47#2854C2212yescomplemented
48#2847C2212yes—
49#2781C2214yescomplemented
50#2775C2214yescomplemented
51#2764C2214yescomplemented
52#2761C2214yes—
53#2759C2214yescomplemented
54#2756C2214yescomplemented
55#2755C2214yescomplemented
56#2751C2214yescomplemented
57#2749C2214yescomplemented
58#2746C2214yescomplemented
59#2735C2214yes—
60#2715C2214yes—
61#2714C2214yes—
62#2707C2214yescomplemented
63#2706C2214yes—
64#2705C2214yes—
65#2704C2214yes—
66#2700C2214yescomplemented
67#2697C2214yes—
68#2685C2214yes—
69#2670C2214yes—
70#2651C2214yescomplemented
71#2648C2214yes—
72#2644C2212yes—
73#2629C2212yes—
74#2604C2214yescomplemented
75#2603C2214yes—
76#2602C2214yescomplemented
77#2595C2214yescomplemented
78#2594C2214yescomplemented
79#2593C2214yescomplemented
80#2593C2214yescomplemented
81#2578C2212yes—
82#2576C2212yescomplemented
83#2575C2214yescomplemented
84#2574C2214yescomplemented
85#2573C2214yescomplemented
86#2573C2214yescomplemented
87#2572C2214yescomplemented
88#2571C2212yescomplemented
89#2570C2211yescharacteristic, complemented
90#2567C2211yescharacteristic, complemented
91#2566C2211yescharacteristic, complemented
92#2563C2211yescharacteristic
93#2562C2211yescharacteristic
94#2562C2212yescomplemented
95#2558C2214yescomplemented
96#2558C2214yescomplemented
97#2557C2214yescomplemented
98#2556C2214yescomplemented
99#2554C2214yescomplemented
100#2552C2212yescomplemented
101#2552C2211yescharacteristic, complemented
102#2551C2211yescharacteristic, complemented
103#2547C2212yescomplemented
104#2538C2211yescharacteristic, complemented
105#2537C2211yescharacteristic
106#2536C2212yes—
107#2535C2211yescharacteristic
108#2534C2214yes—
109#2532C2214yescomplemented
110#2531C2214yes—
111#2531C2214yescomplemented
112#2529C2214yescomplemented
113#2529C2214yescomplemented
114#2529C2214yescomplemented
115#2526C2214yescomplemented
116#2526C2214yescomplemented
117#2524C2214yescomplemented
118#2518C2214yes—
119#2518C2214yes—
120#2518C2214yescomplemented
121#2516C2214yescomplemented
122#2515C2212yescomplemented
123#2513C2214yescomplemented
124#2512C2212yes—
125#2512C2212yescomplemented
126#2508C2212yescomplemented
127#2508C2212yescomplemented
128#2507C2212yescomplemented
129#2506C2212yescomplemented
130#2500C2212yescomplemented
131#2497C2212yes—
132#2497C2212yes—
133#2497C2211yescharacteristic, complemented
134#2497C2212yescomplemented
135#2496C2212yes—
136#2496C2212yescomplemented
137#2495C2212yes—
138#2495C2212yescomplemented
139#2495C2212yescomplemented
140#2495C2212yescomplemented
141#2495C2212yescomplemented
142#2494C2211yescharacteristic
143#2494C2212yescomplemented
144#2494C2212yescomplemented
145#2493C2214yescomplemented
146#2493C2214yescomplemented
147#2491C2212yes—
148#2491C2212yes—
149#2490C2212yes—
150#2489C2212yes—
151#2489C2212yescomplemented
152#2489C2214yescomplemented
153#2488C2214yescomplemented
154#2485C2212yes—
155#2485C2212yes—
156#2485C2212yes—
157#2485C2212yes—
158#2485C2212yescomplemented
159#2485C2212yescomplemented
160#2480C2214yes—
161#2480C2214yes—
162#2474C2214yescomplemented
163#2472C2214yes—
164#2472C2214yes—
165#2469C2214yescomplemented
166#2461C2214yescomplemented
167#2459C2214yes—
168#2458C2214yes—
169#2457C2212yes—
170#2454C2212yes—
171#2453C2212yescomplemented
172#2452C2212yes—
173#2448C2212yes—
174#2441C2212yescomplemented
175#2441C2212yescomplemented
176#2439C2212yescomplemented
177#2439C2212yescomplemented
178#2439C2212yescomplemented
179#2426C2212yes—
180#2426C2214yes—
181#2422C2212yes—
182#2422C2212yescomplemented
183#2422C2211yescharacteristic, complemented
184#2421C2212yescomplemented
185#2420C2212yes—
186#2420C2211yescharacteristic
187#2414C2212yes—
188#2414C2212yes—
189#2414C2212yescomplemented
190#2414C2212yescomplemented
191#2408C2212yes—
192#2407C2212yes—
193#2401C2214yes—
194#2401C2212yescomplemented
195#2401C2214yescomplemented
196#2392C2212yes—
197#2373C2214yes—
198#2373C2214yescomplemented
199#2372C2214yes—
200#2372C2214yescomplemented
201#2370C2212yescomplemented
202#2369C2212yescomplemented
203#2369C2211yescharacteristic, complemented
204#2367C2211yescharacteristic
205#2365C2212yescomplemented
206#2364C2212yes—
207#2363C2212yes—
208#2363C2212yes—
209#2363C2211yescharacteristic
210#2363C2212yescomplemented
211#2363C2212yescomplemented
212#2362C2212yescomplemented
213#2360C2211yescharacteristic
214#2359C2212yes—
215#2358C2212yes—
216#2357C2212yes—
217#2357C2212yes—
218#2357C2214yes—
219#2356C2212yescomplemented
220#2356C2214yescomplemented
221#2356C2212yescomplemented
222#2354C2212yes—
223#2354C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2212yes—
229#2354C2212yescomplemented
230#2354C2212yescomplemented
231#2354C2212yescomplemented
232#2354C2211yescharacteristic, complemented
233#2354C2212yescomplemented
234#2353C2214yescomplemented
235#2352C2212yes—
236#2352C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic, complemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239#2349C2211yescharacteristic
240#2347C2212yescomplemented
241#2347C2212yescomplemented
242#2347C2212yescomplemented
243#2347C2214yescomplemented
244#2346C2212yes—
245#2346C2212yescomplemented
246#2346C2212yescomplemented
247#2346C2212yescomplemented
248#2346C2212yescomplemented
249#2342C2212yes—
250#2341C2212yes—
251#2339C2211yescharacteristic
252D4×C22⋊C4C2211yescharacteristic
253#2337C2214yes—
254#2334C2214yescomplemented
255#2331C2212yescomplemented
256#2323C2212yes—
257#2319C2212yes—
258#2319C2214yescomplemented
259#2312C2214yes—
260#2309C2212yes—
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#125C2211yescharacteristic, complemented
263C4×#126C2214yes—
264C4×#126C2214yescomplemented
265C4×#124C2211yescharacteristic
266C4×#124C2214yescomplemented
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2212yescomplemented
269C4×#123C2212yes—
270C4×#123C2212yescomplemented
271C4×#121C2211yescharacteristic
272C4×#121C2211yescharacteristic
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic, complemented
276C4×#121C2212yescomplemented
277C4×#120C2212yes—
278#2296C2212yescomplemented
279#2296C2212yescomplemented
280#2295C2214yescomplemented
281#2290C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2212yescomplemented
285#2285C2211yescharacteristic, complemented
286#2283C2211yescharacteristic, complemented
287#2283C2212yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2276C2212yescomplemented
292#2274C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—216no—
303#555—28no—
304#546—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#124C2314yes—
316C2×#124C2311yescharacteristic
317C2×#124C2314yes—
318C2×#124C2314yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#120C2312yes—
337C2×#120C2314yes—
338C4×#41—28no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4—28no—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C42C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2312yes—
390#401C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2312yes—
431#396C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2312yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2312yes—
466#392C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2314yes—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2314yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#388C2312yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#383C2312yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2311yescharacteristic
675#382C2311yescharacteristic
676#382C2314yes—
677#382C2312yes—
678#382C2314yes—
679#382C2312yes—
680#382C2314yes—
681#382C2314yes—
682#382C2312yes—
683#382C2312yes—
684#381C2312yes—
685#381C2314yes—
686#381C2312yes—
687#381C2314yes—
688#381C2314yes—
689#381C2312yes—
690#381C2314yes—
691#380C2311yescharacteristic
692#380C2311yescharacteristic
693#380C2311yescharacteristic
694#380C2311yescharacteristic
695#380C2311yescharacteristic
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2311yescharacteristic
723#379C2314yes—
724#379C2314yes—
725#379C2312yes—
726#379C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2314yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C23×C4—28no—
837C23×C4—44no—
838C23×C4—44no—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C4⋊Q8—28no—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860#126—216no—
861#126—216no—
862#126—48no—
863#125—44no—
864#125—42no—
865#125—84no—
866#125—82no—
867#124—24no—
868#124—216no—
869#124—216no—
870#124—84no—
871#123—28no—
872#123—44no—
873#123—84no—
874#123—84no—
875C22⋊Q8—28no—
876C22⋊Q8—82no—
877C22⋊Q8—84no—
878C22⋊Q8—82no—
879C22⋊Q8#4118yes—
880#121—28no—
881#121—28no—
882#121—24no—
883#121—28no—
884#121—44no—
885#121—42no—
886#121—44no—
887#121—42no—
888#120—28no—
889#120—84no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—216no—
893C4×Q8—24no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—42no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—48no—
916C4×D4#4118yes—
917#117—28no—
918#117—28no—
919#117—24no—
920#117—28no—
921#117—28no—
922#117—28no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—44no—
929#117—44no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C22⋊C4—28no—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—44no—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C42—28no—
1058C2×C42—24no—
1059C2×C42—24no—
1060C2×C42—44no—
1061C2×C42—44no—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—42no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2511yescharacteristic
1179C24C2511yescharacteristic
1180C24C2512yes—
1181#41—416no—
1182C2×Q8—22no—
1183C2×Q8—28no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8C2×#4114yes—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—28no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—416no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4C2×#4114yes—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—816no—
1278C22×C4C2×#4118yes—
1279C22×C4C2×#4114yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—41no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—41no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4C2×#4118yes—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—22no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4C2×#4118yes—
1432C22⋊C4C2×#4118yes—
1433C42—22no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—28no—
1443C42—28no—
1444C42—28no—
1445C42—22no—
1446C42—24no—
1447C42—28no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—22no—
1454C42—22no—
1455C42—28no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—41no—
1469C42C2×#4114yes—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—48no—
1504C23—48no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23—84no—
1510C23C22×#4112yes—
1511C23C22×#4114yes—
1512C23C2611yescharacteristic
1513Q8—28no—
1514Q8—84no—
1515Q8—88no—
1516D4—28no—
1517D4—48no—
1518D4—48no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—84no—
1523D4—88no—
1524D4—84no—
1525D4—84no—
1526D4—164no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—28no—
1540C2×C4—216no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—82no—
1614C2×C4—82no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4C22×#4114yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4114yes—
1627C2×C4C22×#4114yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C22×#4112yes—
1631C2×C4#58512yes—
1632C2×C4#58512yes—
1633C2×C4#58512yes—
1634C2×C4#58512yes—
1635C22—24no—
1636C22—22no—
1637C22—24no—
1638C22—22no—
1639C22—22no—
1640C22—24no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—41no—
1646C22—42no—
1647C22—42no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—41no—
1668C22—42no—
1669C22—42no—
1670C22—816no—
1671C22C23×#4111yescharacteristic
1672C22C23×#4111yescharacteristic
1673C22C2×#58511yescharacteristic
1674C22C2×#58511yescharacteristic
1675C22C2×#58511yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22H(7,𝔽2)11yescharacteristic
1678C4—22no—
1679C4—24no—
1680C4—22no—
1681C4—24no—
1682C4—22no—
1683C4—24no—
1684C4—41no—
1685C4—42no—
1686C4—41no—
1687C4—41no—
1688C4—44no—
1689C4—42no—
1690C4—44no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—44no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—44no—
1704C4—42no—
1705C4—41no—
1706C4#347514yes—
1707C4#352114yes—
1708C2—44no—
1709C2—42no—
1710C2—81no—
1711C2—82no—
1712C2—82no—
1713C2C2×#347511yescharacteristic
1714C2C2×#352111yescharacteristic
1715C2#6279311yescharacteristic
1716C2#6293711yescharacteristic
1717C2#6299411yescharacteristic
1718C2#6299411yescharacteristic
1719C2#6302811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59858C2semidirect
2. #59609C2semidirect
3. #59435C2semidirect
4. #59374C2semidirect
5. #59297C2semidirect
6. #59244C2semidirect
7. #59228C2semidirect
8. #59200C2semidirect
9. #45404C2semidirect
10. #45172C2semidirect
11. #44487C2semidirect
12. #43640C2semidirect
13. #39937C2semidirect
14. #39934C2semidirect
15. #39607C2semidirect
16. #39158C2semidirect
17. #39090C2semidirect
18. #39046C2semidirect
19. #36464C2semidirect
20. #36461C2semidirect
21. #36411C2semidirect
22. #36407C2semidirect
23. #36315C2semidirect
24. #36209C2semidirect
25. #36203C2semidirect
26. #36160C2semidirect
27. #36058C2semidirect
28. #36017C2semidirect
29. #34917C2semidirect
30. #34814C2semidirect
31. #34307C2semidirect
32. #34193C2semidirect
33. #34186C2semidirect
34. C4×#555C2semidirect
35. C4×#546C2semidirect
41. #2861C22semidirect
42. #2859C22semidirect
44. #2857C22semidirect
45. #2857C22semidirect
47. #2854C22semidirect
49. #2781C22semidirect
50. #2775C22semidirect
51. #2764C22semidirect
53. #2759C22semidirect
54. #2756C22semidirect
55. #2755C22semidirect
56. #2751C22semidirect
57. #2749C22semidirect
58. #2746C22semidirect
62. #2707C22semidirect
66. #2700C22semidirect
70. #2651C22semidirect
74. #2604C22semidirect
76. #2602C22semidirect
77. #2595C22semidirect
78. #2594C22semidirect
79. #2593C22semidirect
80. #2593C22semidirect
82. #2576C22semidirect
83. #2575C22semidirect
84. #2574C22semidirect
85. #2573C22semidirect
86. #2573C22semidirect
87. #2572C22semidirect
88. #2571C22semidirect
89. #2570C22semidirect
90. #2567C22semidirect
91. #2566C22semidirect
94. #2562C22semidirect
95. #2558C22semidirect
96. #2558C22semidirect
97. #2557C22semidirect
98. #2556C22semidirect
99. #2554C22semidirect
100. #2552C22semidirect
101. #2552C22semidirect
102. #2551C22semidirect
103. #2547C22semidirect
104. #2538C22semidirect
109. #2532C22semidirect
111. #2531C22semidirect
112. #2529C22semidirect
113. #2529C22semidirect
114. #2529C22semidirect
115. #2526C22semidirect
116. #2526C22semidirect
117. #2524C22semidirect
120. #2518C22semidirect
121. #2516C22semidirect
122. #2515C22semidirect
123. #2513C22semidirect
125. #2512C22semidirect
126. #2508C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2506C22semidirect
130. #2500C22semidirect
133. #2497C22semidirect
134. #2497C22semidirect
136. #2496C22semidirect
138. #2495C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
141. #2495C22semidirect
143. #2494C22semidirect
144. #2494C22semidirect
145. #2493C22semidirect
146. #2493C22semidirect
151. #2489C22semidirect
152. #2489C22semidirect
153. #2488C22semidirect
158. #2485C22semidirect
159. #2485C22semidirect
162. #2474C22semidirect
165. #2469C22semidirect
166. #2461C22semidirect
171. #2453C22semidirect
174. #2441C22semidirect
175. #2441C22semidirect
176. #2439C22semidirect
177. #2439C22semidirect
178. #2439C22semidirect
182. #2422C22semidirect
183. #2422C22semidirect
184. #2421C22semidirect
189. #2414C22semidirect
190. #2414C22semidirect
194. #2401C22semidirect
195. #2401C22semidirect
198. #2373C22semidirect
200. #2372C22semidirect
201. #2370C22semidirect
202. #2369C22semidirect
203. #2369C22semidirect
205. #2365C22semidirect
210. #2363C22semidirect
211. #2363C22semidirect
212. #2362C22semidirect
219. #2356C22semidirect
220. #2356C22semidirect
221. #2356C22semidirect
229. #2354C22semidirect
230. #2354C22semidirect
231. #2354C22semidirect
232. #2354C22semidirect
233. #2354C22semidirect
234. #2353C22semidirect
237. Q8×C4⋊C4C22semidirect
238. Q8×C4⋊C4C22semidirect
240. #2347C22semidirect
241. #2347C22semidirect
242. #2347C22semidirect
243. #2347C22semidirect
245. #2346C22semidirect
246. #2346C22semidirect
247. #2346C22semidirect
248. #2346C22semidirect
254. #2334C22semidirect
255. #2331C22semidirect
258. #2319C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×#125C22semidirect
264. C4×#126C22semidirect
266. C4×#124C22semidirect
268. C4×C22⋊Q8C22semidirect
270. C4×#123C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
278. #2296C22semidirect
279. #2296C22semidirect
280. #2295C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. #2283C22semidirect
287. #2283C22semidirect
291. #2276C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598582
#596092
#594352
#593742
#592972
#592442
#592282
#592002
#454042
#451722
#444872
#436402
#399372
#399342
#396072
#391582
#390902
#390462
#364642
#364612
#364112
#364072
#363152
#362092
#362032
#361602
#360582
#360172
#349172
#348142
#343072
#341932
#341862
C4×#5552
C4×#5462