Finite Group Databasebeta

← #7693214

Subgroups — #7693214

Order 512.

4859 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59584C212yesmaximal, complemented
3#59541C214yesmaximal, complemented
4#59449C212yesmaximal, complemented
5#59331C212yesmaximal, complemented
6#59329C211yesmaximal, characteristic, complemented
7#59232C212yesmaximal, complemented
8#59227C211yesmaximal, characteristic, complemented
9#45392C212yesmaximal, complemented
10#44960C212yesmaximal, complemented
11#44530C214yesmaximal, complemented
12#43270C214yesmaximal, complemented
13#39929C212yesmaximal, complemented
14#39925C212yesmaximal, complemented
15#39736C211yesmaximal, characteristic, complemented
16#39735C211yesmaximal, characteristic, complemented
17#39013C214yesmaximal, complemented
18#38948C212yesmaximal, complemented
19#36590C211yesmaximal, characteristic, complemented
20#36580C211yesmaximal, characteristic, complemented
21#36535C211yesmaximal, characteristic, complemented
22#36493C211yesmaximal, characteristic, complemented
23#36253C212yesmaximal, complemented
24#36252C212yesmaximal, complemented
25#36202C212yesmaximal, complemented
26#36182C211yesmaximal, characteristic, complemented
27#36037C212yesmaximal, complemented
28#35785C212yesmaximal, complemented
29#34941C211yesmaximal, characteristic, complemented
30#34917C212yesmaximal, complemented
31#34319C212yesmaximal, complemented
32#34188C211yesmaximal, characteristic, complemented
33#34187C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#548C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2864C2212yes—
42#2861C2212yes—
43#2859C2211yescharacteristic
44#2856C2211yescharacteristic
45#2856C2211yescharacteristic
46#2853C2214yes—
47#2850C2212yes—
48#2850C2212yes—
49#2803C2214yes—
50#2794C2214yes—
51#2781C2214yes—
52#2777C2214yes—
53#2772C2214yes—
54#2763C2214yes—
55#2761C2214yes—
56#2754C2214yes—
57#2753C2214yes—
58#2752C2214yes—
59#2749C2214yes—
60#2743C2214yes—
61#2741C2214yes—
62#2737C2214yes—
63#2717C2214yes—
64#2703C2214yes—
65#2702C2214yes—
66#2702C2214yes—
67#2699C2214yes—
68#2699C2214yes—
69#2691C2214yes—
70#2650C2214yes—
71#2648C2214yes—
72#2620C2212yes—
73#2619C2212yes—
74#2610C2214yes—
75#2597C2214yes—
76#2595C2214yes—
77#2594C2214yes—
78#2593C2214yes—
79#2592C2212yes—
80#2592C2212yes—
81#2590C2214yes—
82#2588C2214yes—
83#2582C2211yescharacteristic
84#2581C2212yes—
85#2580C2212yes—
86#2578C2214yes—
87#2578C2214yes—
88#2576C2214yes—
89#2576C2214yes—
90#2575C2214yes—
91#2574C2212yes—
92#2574C2212yes—
93#2572C2214yes—
94#2571C2211yescharacteristic
95#2571C2212yes—
96#2570C2212yes—
97#2570C2212yes—
98#2570C2212yes—
99#2567C2211yescharacteristic
100#2566C2212yes—
101#2566C2212yes—
102#2565C2212yes—
103#2563C2211yescharacteristic
104#2562C2212yes—
105#2552C2211yescharacteristic
106#2552C2211yescharacteristic
107#2550C2212yes—
108#2548C2211yescharacteristic
109#2548C2212yes—
110#2544C2212yes—
111#2541C2211yescharacteristic
112#2540C2212yes—
113#2538C2211yescharacteristic
114#2538C2211yescharacteristic
115#2535C2212yes—
116#2535C2212yes—
117#2532C2214yes—
118#2531C2214yes—
119#2529C2214yes—
120#2529C2214yes—
121#2527C2214yes—
122#2526C2214yes—
123#2526C2214yes—
124#2525C2214yes—
125#2525C2214yes—
126#2519C2214yes—
127#2518C2214yes—
128#2517C2214yes—
129#2516C2214yes—
130#2516C2214yes—
131#2515C2214yes—
132#2515C2214yes—
133#2514C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2513C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2511C2212yes—
142#2511C2212yes—
143#2508C2212yes—
144#2504C2212yes—
145#2503C2212yes—
146#2503C2212yes—
147#2500C2212yes—
148#2500C2212yes—
149#2500C2212yes—
150#2500C2212yes—
151#2497C2211yescharacteristic
152#2497C2211yescharacteristic
153#2494C2212yes—
154#2491C2212yes—
155#2490C2212yes—
156#2489C2212yes—
157#2484C2214yes—
158#2474C2214yes—
159#2471C2214yes—
160#2471C2214yes—
161#2470C2214yes—
162#2468C2214yes—
163#2467C2214yes—
164#2460C2214yes—
165#2459C2214yes—
166#2459C2214yes—
167#2459C2214yes—
168#2459C2214yes—
169#2458C2214yes—
170#2457C2214yes—
171#2457C2214yes—
172#2456C2214yes—
173#2454C2212yes—
174#2448C2212yes—
175#2448C2212yes—
176#2447C2212yes—
177#2445C2212yes—
178#2443C2214yes—
179#2436C2212yes—
180#2431C2212yes—
181#2423C2211yescharacteristic
182#2423C2211yescharacteristic
183#2422C2212yes—
184#2422C2212yes—
185#2422C2212yes—
186#2421C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2416C2212yes—
190#2416C2212yes—
191#2415C2212yes—
192#2414C2212yes—
193#2401C2214yes—
194#2396C2212yes—
195#2396C2212yes—
196#2392C2214yes—
197#2374C2214yes—
198#2374C2214yes—
199#2373C2214yes—
200#2373C2214yes—
201#2370C2212yes—
202#2367C2212yes—
203#2367C2212yes—
204#2367C2211yescharacteristic
205#2367C2212yes—
206#2367C2212yes—
207#2366C2211yescharacteristic
208#2366C2212yes—
209#2363C2214yes—
210#2363C2212yes—
211#2363C2212yes—
212#2362C2212yes—
213#2362C2211yescharacteristic
214#2362C2212yes—
215#2361C2212yes—
216#2361C2212yes—
217#2361C2212yes—
218#2361C2212yes—
219#2361C2211yescharacteristic
220#2357C2212yes—
221#2357C2214yes—
222#2357C2212yes—
223#2357C2212yes—
224#2356C2212yes—
225#2356C2214yes—
226#2356C2212yes—
227#2355C2211yescharacteristic
228#2355C2212yes—
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2355C2211yescharacteristic
232#2355C2212yes—
233#2355C2212yes—
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2355C2212yes—
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2352C2214yes—
241#2352C2211yescharacteristic
242#2352C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2351C2211yescharacteristic
246#2347C2212yes—
247#2346C2212yes—
248#2346C2212yes—
249#2344C2212yes—
250#2344C2212yes—
251#2341C2211yescharacteristic
252Q8×C22⋊C4C2211yescharacteristic
253#2334C2214yes—
254#2333C2214yes—
255#2324C2212yes—
256#2324C2212yes—
257#2314C2214yes—
258#2313C2214yes—
259#2311C2212yes—
260#2310C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#124C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×#123C2214yes—
275C4×#123C2214yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2293C2212yes—
281#2290C2214yes—
282#2290C2214yes—
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2212yes—
287#2285C2212yes—
288C2×#384C2211yescharacteristic
289#2283C2212yes—
290#2283C2212yes—
291#2274C2212yes—
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#559—28no—
302#553—216no—
303#548—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×#127C2311yescharacteristic
306C2×#127C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#124C2311yescharacteristic
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C4×#41—28no—
338C2×C4×Q8—28no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2314yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2314yes—
391#401C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#395C2312yes—
442#395C2312yes—
443#395C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2312yes—
460#393C2312yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809#376C2314yes—
810#376C2314yes—
811#376C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C4⋊Q8—42no—
853#127—24no—
854#127—44no—
855#126—216no—
856#126—48no—
857#125—28no—
858#125—44no—
859#125—44no—
860#124—28no—
861#124—28no—
862#124—24no—
863#124—28no—
864#124—44no—
865#124—84no—
866#123—216no—
867#123—216no—
868#123—84no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—42no—
872C22⋊Q8—42no—
873C22⋊Q8—44no—
874#121—28no—
875#121—216no—
876#121—24no—
877#121—28no—
878#121—28no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—82no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×Q8—42no—
897C4×Q8#4118yes—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—216no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—48no—
915C4×D4—84no—
916C4×D4—82no—
917C4×D4#4118yes—
918#117—28no—
919#117—24no—
920#117—28no—
921#117—44no—
922#117—44no—
923#117—44no—
924#117—44no—
925#117—84no—
926#117—84no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—82no—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C42—28no—
1054C2×C42—24no—
1055C2×C42—28no—
1056C2×C42—24no—
1057C2×C42—84no—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2514yes—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173#41—416no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—416no—
1189C2×Q8C2×#4114yes—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4C2×#4114yes—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—41no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4C2×#4114yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4C2×#4114yes—
1363C4⋊C4C2×#4118yes—
1364C4⋊C4C2×#4114yes—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—22no—
1380C22⋊C4—28no—
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—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—42no—
1399C22⋊C4—41no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4C2×#4114yes—
1419C22⋊C4C2×#4114yes—
1420C42—22no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—28no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—42no—
1442C42—42no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—41no—
1450C42—42no—
1451C42—44no—
1452C42—41no—
1453C42—42no—
1454C42—42no—
1455C42—42no—
1456C42—42no—
1457C42—44no—
1458C42C2×#4118yes—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—24no—
1474C23—24no—
1475C23—22no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23—24no—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23C22×#4112yes—
1488C23C22×#4112yes—
1489C23C2611yescharacteristic
1490Q8—28no—
1491Q8—48no—
1492Q8—44no—
1493Q8—44no—
1494Q8—84no—
1495D4—44no—
1496D4—48no—
1497D4—48no—
1498D4—48no—
1499D4—44no—
1500D4—48no—
1501D4—84no—
1502D4—88no—
1503D4—88no—
1504D4—88no—
1505D4—164no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—28no—
1523C2×C4—28no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—48no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—84no—
1595C2×C4—88no—
1596C2×C4—82no—
1597C2×C4—88no—
1598C2×C4—88no—
1599C2×C4—88no—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—44no—
1630C22—44no—
1631C22—42no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—44no—
1638C22—44no—
1639C22—42no—
1640C22—42no—
1641C22—44no—
1642C22C23×#4111yescharacteristic
1643C22C23×#4111yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22H(7,𝔽2)11yescharacteristic
1649C4—22no—
1650C4—24no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—22no—
1655C4—22no—
1656C4—24no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—44no—
1661C4—44no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4#347514yes—
1679C4#352414yes—
1680C2—42no—
1681C2—42no—
1682C2—82no—
1683C2—84no—
1684C2C2×#347511yescharacteristic
1685C2C2×#352411yescharacteristic
1686C2#6281511yescharacteristic
1687C2#6293811yescharacteristic
1688C2#6300811yescharacteristic
1689C2#6301011yescharacteristic
1690C2#6303111yescharacteristic
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. #59640C2semidirect
2. #59584C2semidirect
3. #59541C2semidirect
4. #59449C2semidirect
5. #59331C2semidirect
6. #59329C2semidirect
7. #59232C2semidirect
8. #59227C2semidirect
9. #45392C2semidirect
10. #44960C2semidirect
11. #44530C2semidirect
12. #43270C2semidirect
13. #39929C2semidirect
14. #39925C2semidirect
15. #39736C2semidirect
16. #39735C2semidirect
17. #39013C2semidirect
18. #38948C2semidirect
19. #36590C2semidirect
20. #36580C2semidirect
21. #36535C2semidirect
22. #36493C2semidirect
23. #36253C2semidirect
24. #36252C2semidirect
25. #36202C2semidirect
26. #36182C2semidirect
27. #36037C2semidirect
28. #35785C2semidirect
29. #34941C2semidirect
30. #34917C2semidirect
31. #34319C2semidirect
32. #34188C2semidirect
33. #34187C2semidirect
34. C4×#559C2semidirect
35. C4×#548C2semidirect

Maximal subgroups

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

subgroupindex
#596402
#595842
#595412
#594492
#593312
#593292
#592322
#592272
#453922
#449602
#445302
#432702
#399292
#399252
#397362
#397352
#390132
#389482
#365902
#365802
#365352
#364932
#362532
#362522
#362022
#361822
#360372
#357852
#349412
#349172
#343192
#341882
#341872
C4×#5592
C4×#5482