Finite Group Databasebeta

← #7987022

Subgroups — #7987022

Order 512.

4769 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59660C211yesmaximal, characteristic, complemented
2#59655C211yesmaximal, characteristic, complemented
3#59654C211yesmaximal, characteristic
4#59326C212yesmaximal, complemented
5#59253C212yesmaximal, complemented
6#50761C214yesmaximal, complemented
7#48996C214yesmaximal, complemented
8#46069C212yesmaximal, complemented
9#46049C212yesmaximal, complemented
10#45307C212yesmaximal, complemented
11#44988C212yesmaximal, complemented
12#43450C214yesmaximal, complemented
13#42866C212yesmaximal, complemented
14#42512C212yesmaximal, complemented
15#41201C214yesmaximal, complemented
16#40152C212yesmaximal, complemented
17#40076C212yesmaximal, complemented
18#39930C212yesmaximal, complemented
19#39617C211yesmaximal, characteristic, complemented
20#39008C212yesmaximal, complemented
21#38955C211yesmaximal, characteristic, complemented
22#37955C212yesmaximal, complemented
23#36598C211yesmaximal, characteristic, complemented
24#36559C211yesmaximal, characteristic, complemented
25Q8×#124C211yesmaximal, characteristic, complemented
26#36502C212yesmaximal, complemented
27#36276C211yesmaximal, characteristic, complemented
28#36164C211yesmaximal, characteristic, complemented
29#35187C211yesmaximal, characteristic, complemented
30#35185C211yesmaximal, characteristic, complemented
31#35132C212yesmaximal, complemented
32#34943C211yesmaximal, characteristic, complemented
33#34918C211yesmaximal, characteristic, complemented
34#34472C212yesmaximal, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×D4×Q8C2211yescharacteristic
42C2×#548C2212yes—
43C2×#547C2211yescharacteristic
44#2868C2211yescharacteristic
45#2864C2212yes—
46#2864C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2862C2212yes—
50#2862C2211yescharacteristic
51#2860C2212yes—
52#2859C2212yes—
53#2857C2212yes—
54#2850C2212yes—
55#2839C2214yes—
56#2831C2214yes—
57#2786C2214yes—
58#2775C2214yes—
59#2775C2214yes—
60#2774C2214yes—
61#2771C2214yes—
62#2770C2214yes—
63#2769C2214yes—
64#2768C2214yes—
65#2764C2214yes—
66#2764C2214yes—
67#2763C2214yes—
68#2758C2214yes—
69#2746C2214yes—
70#2746C2214yes—
71#2744C2214yes—
72#2743C2214yes—
73#2738C2214yes—
74#2737C2214yes—
75#2729C2214yes—
76#2728C2214yes—
77#2728C2214yes—
78#2715C2214yes—
79#2702C2214yes—
80#2700C2214yes—
81#2698C2214yes—
82#2696C2214yes—
83#2691C2214yes—
84#2689C2214yes—
85#2687C2214yes—
86#2687C2214yes—
87#2681C2214yes—
88#2677C2214yes—
89#2677C2214yes—
90#2666C2214yes—
91#2666C2214yes—
92#2660C2212yes—
93#2655C2214yes—
94#2652C2214yes—
95#2650C2214yes—
96#2649C2214yes—
97#2638C2214yes—
98#2621C2212yes—
99#2612C2214yes—
100#2612C2214yes—
101#2598C2214yes—
102#2597C2212yes—
103#2595C2214yes—
104#2595C2212yes—
105#2592C2211yescharacteristic
106#2582C2211yescharacteristic
107#2582C2212yes—
108#2580C2211yescharacteristic
109#2574C2214yes—
110#2572C2214yes—
111#2571C2212yes—
112#2571C2211yescharacteristic
113#2570C2211yescharacteristic
114#2570C2212yes—
115#2570C2212yes—
116#2568C2211yescharacteristic
117#2568C2212yes—
118#2568C2212yes—
119#2567C2211yescharacteristic
120#2566C2212yes—
121#2566C2212yes—
122#2565C2212yes—
123#2564C2214yes—
124#2563C2211yescharacteristic
125#2563C2211yescharacteristic
126#2563C2211yescharacteristic
127#2563C2212yes—
128#2550C2212yes—
129#2550C2212yes—
130#2550C2212yes—
131#2549C2214yes—
132#2549C2214yes—
133#2546C2211yescharacteristic
134#2544C2211yescharacteristic
135#2542C2212yes—
136#2538C2211yescharacteristic
137#2538C2212yes—
138#2538C2212yes—
139#2537C2211yescharacteristic
140#2536C2212yes—
141#2536C2214yes—
142#2531C2214yes—
143#2529C2214yes—
144#2527C2214yes—
145#2524C2214yes—
146#2516C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2513C2211yescharacteristic
150#2513C2212yes—
151#2511C2211yescharacteristic
152#2511C2212yes—
153#2511C2212yes—
154#2509C2212yes—
155#2508C2212yes—
156#2505C2214yes—
157#2504C2212yes—
158#2503C2212yes—
159#2503C2212yes—
160#2502C2212yes—
161#2496C2212yes—
162#2495C2212yes—
163#2495C2212yes—
164#2493C2214yes—
165#2492C2212yes—
166#2492C2212yes—
167#2492C2212yes—
168#2492C2214yes—
169#2492C2214yes—
170#2491C2212yes—
171#2489C2212yes—
172#2489C2212yes—
173#2489C2212yes—
174#2489C2212yes—
175#2488C2214yes—
176#2488C2214yes—
177#2476C2214yes—
178#2469C2214yes—
179#2468C2214yes—
180#2467C2214yes—
181#2466C2214yes—
182#2463C2214yes—
183#2461C2214yes—
184#2458C2212yes—
185#2453C2212yes—
186#2452C2212yes—
187#2452C2214yes—
188#2452C2214yes—
189#2450C2214yes—
190#2450C2214yes—
191#2447C2211yescharacteristic
192#2446C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2445C2211yescharacteristic
196#2442C2212yes—
197#2442C2212yes—
198#2442C2212yes—
199#2442C2212yes—
200#2440C2212yes—
201#2440C2212yes—
202#2440C2212yes—
203#2440C2212yes—
204#2438C2214yes—
205#2438C2214yes—
206#2434C2212yes—
207#2432C2212yes—
208#2429C2212yes—
209#2429C2214yes—
210#2428C2212yes—
211#2427C2212yes—
212#2427C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2421C2212yes—
216#2420C2212yes—
217#2420C2212yes—
218#2420C2212yes—
219#2420C2212yes—
220#2419C2214yes—
221#2409C2212yes—
222#2407C2212yes—
223#2398C2212yes—
224#2398C2214yes—
225#2395C2212yes—
226#2379C2214yes—
227#2378C2214yes—
228#2373C2212yes—
229#2373C2212yes—
230#2367C2212yes—
231#2367C2211yescharacteristic
232#2367C2211yescharacteristic
233#2365C2211yescharacteristic
234#2365C2212yes—
235#2364C2214yes—
236#2362C2212yes—
237#2361C2212yes—
238#2361C2212yes—
239#2361C2212yes—
240#2360C2212yes—
241#2356C2211yescharacteristic
242#2356C2211yescharacteristic
243#2355C2211yescharacteristic
244#2355C2212yes—
245#2355C2212yes—
246#2354C2211yescharacteristic
247#2353C2214yes—
248#2349C2212yes—
249#2349C2212yes—
250#2349C2214yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253#2347C2212yes—
254Q8×C22⋊C4C2212yes—
255Q8×C22⋊C4C2212yes—
256#2339C2212yes—
257#2339C2212yes—
258#2337C2214yes—
259#2329C2214yes—
260#2329C2214yes—
261#2327C2212yes—
262#2326C2212yes—
263#2325C2214yes—
264#2323C2212yes—
265#2320C2212yes—
266#2318C2214yes—
267#2314C2212yes—
268#2311C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×#127C2211yescharacteristic
274C4×#127C2212yes—
275C4×#126C2212yes—
276C4×#126C2212yes—
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×#124C2211yescharacteristic
280C4×#124C2211yescharacteristic
281C4×#124C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2295C2211yescharacteristic
287C2×#391C2212yes—
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2283C2212yes—
291#2283C2212yes—
292C2×#382C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301Q82—44no—
302#556—28no—
303#554—44no—
304#554—44no—
305#554—44no—
306D4×Q8—44no—
307#548—216no—
308#547—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C42C2312yes—
394C22×C42C2312yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#393C2312yes—
487#393C2314yes—
488#392C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#383C2312yes—
697#383C2312yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2314yes—
720#382C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8—28no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×Q8C2414yes—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—48no—
862C4⋊Q8—82no—
863#127—24no—
864#126—28no—
865#126—28no—
866#126—84no—
867#125—44no—
868#125—44no—
869#125—44no—
870#124—24no—
871#124—24no—
872#124—216no—
873#124—24no—
874#124#4118yes—
875#123—48no—
876#123—44no—
877C22⋊Q8—28no—
878C22⋊Q8—216no—
879C22⋊Q8—28no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—84no—
891C22⋊Q8—84no—
892#121—28no—
893#121—28no—
894#121—216no—
895#121—44no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—42no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—82no—
910C4×Q8—82no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—216no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—42no—
920C4×D4—48no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—84no—
927C4×D4—84no—
928C4×D4—84no—
929#117—28no—
930#117—44no—
931#117—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C42—28no—
1052C2×C42—44no—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24C2512yes—
1174C24C2512yes—
1175C24C2512yes—
1176#41—816no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—28no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—41no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—44no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—816no—
1204C2×Q8C2×#4114yes—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4C2×#4114yes—
1225C2×D42−1+414yes—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—24no—
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—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—28no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—41no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4C2×#4118yes—
1408C22⋊C4C2×#4118yes—
1409C42—24no—
1410C42—24no—
1411C42—28no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C42—41no—
1439C42—41no—
1440C42—42no—
1441C42—44no—
1442C42—41no—
1443C42—41no—
1444C42—42no—
1445C42—41no—
1446C42C2×#4114yes—
1447C42H(5,𝔽2)14yes—
1448C422−1+414yes—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23C22×#4114yes—
1469C23C2×2−1+414yes—
1470C23C2611yescharacteristic
1471Q8—28no—
1472Q8—44no—
1473Q8—44no—
1474Q8—48no—
1475Q8—44no—
1476Q8—84no—
1477Q8—84no—
1478Q8—88no—
1479Q8—164no—
1480D4—28no—
1481D4—28no—
1482D4—48no—
1483D4—48no—
1484D4—416no—
1485D4—44no—
1486D4—88no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—88no—
1577C2×C4—84no—
1578C2×C4—88no—
1579C2×C4—164no—
1580C2×C4—164no—
1581C2×C4—164no—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4114yes—
1585C2×C4C22×#4112yes—
1586C2×C4C2×H(5,𝔽2)12yes—
1587C2×C4C2×H(5,𝔽2)12yes—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C2×C4C2×2−1+412yes—
1590C2×C4C2×2−1+412yes—
1591C2×C4C2×2−1+412yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4#58512yes—
1594C2×C4#58512yes—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—24no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22C23×#4111yescharacteristic
1617C22C22×H(5,𝔽2)11yescharacteristic
1618C22C22×2−1+411yescharacteristic
1619C22C22×2−1+411yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22C2×#58511yescharacteristic
1622C22H(7,𝔽2)11yescharacteristic
1623C4—22no—
1624C4—22no—
1625C4—24no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—44no—
1633C4—42no—
1634C4—42no—
1635C4—41no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—42no—
1642C4—42no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4#351414yes—
1654C4#355214yes—
1655C2—44no—
1656C2—44no—
1657C2—82no—
1658C2C2×#355211yescharacteristic
1659C2C2×#351411yescharacteristic
1660C2#6280511yescharacteristic
1661C2#6292911yescharacteristic
1662C2#6296111yescharacteristic
1663C2#6300011yescharacteristic
1664C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59654C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59660C2semidirect
2. #59655C2semidirect
4. #59326C2semidirect
5. #59253C2semidirect
6. #50761C2semidirect
7. #48996C2semidirect
8. #46069C2semidirect
9. #46049C2semidirect
10. #45307C2semidirect
11. #44988C2semidirect
12. #43450C2semidirect
13. #42866C2semidirect
14. #42512C2semidirect
15. #41201C2semidirect
16. #40152C2semidirect
17. #40076C2semidirect
18. #39930C2semidirect
19. #39617C2semidirect
20. #39008C2semidirect
21. #38955C2semidirect
22. #37955C2semidirect
23. #36598C2semidirect
24. #36559C2semidirect
25. Q8×#124C2semidirect
26. #36502C2semidirect
27. #36276C2semidirect
28. #36164C2semidirect
29. #35187C2semidirect
30. #35185C2semidirect
31. #35132C2semidirect
32. #34943C2semidirect
33. #34918C2semidirect
34. #34472C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#596602
#596552
#596542
#593262
#592532
#507612
#489962
#460692
#460492
#453072
#449882
#434502
#428662
#425122
#412012
#401522
#400762
#399302
#396172
#390082
#389552
#379552
#365982
#365592
Q8×#1242
#365022
#362762
#361642
#351872
#351852
#351322
#349432
#349182
#344722
C4×#5562