Finite Group Databasebeta

← #7685994

Subgroups — #7685994

Order 512.

5206 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59721C214yesmaximal, complemented
2#59646C212yesmaximal, complemented
3#59645C212yesmaximal, complemented
4#59640C211yesmaximal, characteristic, complemented
5#59640C212yesmaximal, complemented
6#59303C211yesmaximal, characteristic, complemented
7#59243C211yesmaximal, characteristic, complemented
8#59058C212yesmaximal, complemented
9#44911C212yesmaximal, complemented
10#44907C212yesmaximal, complemented
11#44276C214yesmaximal, complemented
12#44065C214yesmaximal, complemented
13#40270C214yesmaximal, complemented
14#39783C212yesmaximal, complemented
15#39725C211yesmaximal, characteristic, complemented
16#39552C212yesmaximal, complemented
17#39218C212yesmaximal, complemented
18#39138C211yesmaximal, characteristic, complemented
19#36535C211yesmaximal, characteristic, complemented
20#36503C212yesmaximal, complemented
21#36472C211yesmaximal, characteristic, complemented
22#36460C211yesmaximal, characteristic, complemented
23#36436C212yesmaximal, complemented
24#36252C212yesmaximal, complemented
25#36182C211yesmaximal, characteristic, complemented
26#36114C211yesmaximal, characteristic, complemented
27#35830C212yesmaximal, complemented
28#35785C212yesmaximal, complemented
29#34919C211yesmaximal, characteristic, complemented
30#34910C212yesmaximal, complemented
31#34319C212yesmaximal, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34214C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#550C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43C2×C4×#41C2212yes—
44#2864C2212yes—
45#2860C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2853C2214yes—
51#2851C2212yes—
52#2803C2214yes—
53#2803C2214yes—
54#2803C2214yes—
55#2803C2214yes—
56#2803C2214yes—
57#2800C2214yes—
58#2798C2214yes—
59#2797C2214yes—
60#2795C2214yes—
61#2788C2214yes—
62#2786C2214yes—
63#2779C2214yes—
64#2778C2214yes—
65#2727C2214yes—
66#2715C2214yes—
67#2714C2214yes—
68#2714C2214yes—
69#2714C2214yes—
70#2711C2214yes—
71#2676C2214yes—
72#2673C2214yes—
73#2662C2214yes—
74#2648C2214yes—
75#2619C2212yes—
76#2619C2212yes—
77#2603C2214yes—
78#2602C2214yes—
79#2602C2214yes—
80#2602C2214yes—
81#2601C2214yes—
82#2601C2214yes—
83#2601C2214yes—
84#2600C2214yes—
85#2597C2214yes—
86#2595C2214yes—
87#2595C2214yes—
88#2594C2214yes—
89#2594C2214yes—
90#2593C2214yes—
91#2592C2214yes—
92#2592C2212yes—
93#2591C2214yes—
94#2590C2214yes—
95#2588C2214yes—
96#2581C2212yes—
97#2580C2212yes—
98#2576C2214yes—
99#2571C2211yescharacteristic
100#2570C2212yes—
101#2566C2212yes—
102#2565C2212yes—
103#2560C2212yes—
104#2559C2214yes—
105#2558C2212yes—
106#2557C2214yes—
107#2555C2214yes—
108#2552C2211yescharacteristic
109#2550C2211yescharacteristic
110#2550C2212yes—
111#2548C2214yes—
112#2548C2211yescharacteristic
113#2548C2212yes—
114#2548C2212yes—
115#2545C2211yescharacteristic
116#2544C2214yes—
117#2544C2212yes—
118#2541C2211yescharacteristic
119#2541C2212yes—
120#2541C2212yes—
121#2540C2212yes—
122#2540C2211yescharacteristic
123#2538C2211yescharacteristic
124#2537C2211yescharacteristic
125#2536C2211yescharacteristic
126#2535C2212yes—
127#2527C2214yes—
128#2526C2214yes—
129#2519C2212yes—
130#2517C2214yes—
131#2513C2212yes—
132#2513C2214yes—
133#2512C2212yes—
134#2512C2212yes—
135#2512C2212yes—
136#2504C2212yes—
137#2500C2212yes—
138#2500C2212yes—
139#2500C2212yes—
140#2500C2212yes—
141#2500C2212yes—
142#2499C2212yes—
143#2497C2212yes—
144#2497C2212yes—
145#2496C2212yes—
146#2494C2212yes—
147#2494C2212yes—
148#2491C2212yes—
149#2491C2211yescharacteristic
150#2491C2212yes—
151#2490C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2489C2211yescharacteristic
155#2478C2214yes—
156#2476C2214yes—
157#2474C2214yes—
158#2471C2214yes—
159#2470C2214yes—
160#2469C2214yes—
161#2468C2214yes—
162#2467C2214yes—
163#2466C2214yes—
164#2466C2214yes—
165#2464C2214yes—
166#2464C2214yes—
167#2461C2212yes—
168#2459C2214yes—
169#2459C2214yes—
170#2459C2214yes—
171#2456C2214yes—
172#2445C2214yes—
173#2432C2212yes—
174#2431C2212yes—
175#2429C2211yescharacteristic
176#2428C2214yes—
177#2428C2212yes—
178#2426C2211yescharacteristic
179#2426C2212yes—
180#2422C2212yes—
181#2422C2212yes—
182#2422C2212yes—
183#2422C2212yes—
184#2421C2212yes—
185#2420C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2416C2212yes—
189#2416C2212yes—
190#2416C2212yes—
191#2416C2212yes—
192#2415C2212yes—
193#2414C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2396C2212yes—
197#2392C2214yes—
198#2392C2214yes—
199#2392C2212yes—
200#2374C2214yes—
201#2373C2214yes—
202#2373C2214yes—
203#2372C2212yes—
204#2372C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2369C2211yescharacteristic
208#2367C2214yes—
209#2366C2211yescharacteristic
210#2366C2212yes—
211#2363C2214yes—
212#2363C2212yes—
213#2363C2212yes—
214#2363C2214yes—
215#2363C2212yes—
216#2363C2212yes—
217#2363C2211yescharacteristic
218#2363C2211yescharacteristic
219#2363C2212yes—
220#2362C2212yes—
221#2361C2212yes—
222#2361C2212yes—
223#2361C2212yes—
224#2361C2212yes—
225#2360C2214yes—
226#2360C2212yes—
227#2360C2212yes—
228#2357C2212yes—
229#2357C2214yes—
230#2357C2212yes—
231#2355C2211yescharacteristic
232#2355C2211yescharacteristic
233#2355C2212yes—
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2354C2212yes—
237#2354C2211yescharacteristic
238#2354C2212yes—
239#2354C2212yes—
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250#2346C2211yescharacteristic
251#2346C2211yescharacteristic
252#2346C2212yes—
253#2344C2212yes—
254#2341C2212yes—
255#2335C2214yes—
256#2334C2214yes—
257#2333C2214yes—
258#2330C2214yes—
259#2324C2212yes—
260#2324C2212yes—
261#2317C2212yes—
262#2314C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×#127C2211yescharacteristic
267C4×#127C2212yes—
268C4×#127C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2214yes—
279C4×#121C2211yescharacteristic
280C4×#121C2214yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285#2293C2212yes—
286#2290C2214yes—
287#2290C2214yes—
288#2285C2211yescharacteristic
289C2×#384C2211yescharacteristic
290#2274C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#555—28no—
301#553—216no—
302#553—48no—
303#550—28no—
304#533—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2312yes—
311C2×#127C2314yes—
312#529—28no—
313#529—48no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C4×#41—48no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2314yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C42C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2314yes—
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#399C2314yes—
424#399C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#395C2314yes—
455#395C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2312yes—
493#392C2314yes—
494#392C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2311yescharacteristic
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860#127—24no—
861#127—28no—
862#127—44no—
863#127—84no—
864#126—28no—
865#126—216no—
866#126—48no—
867#126—48no—
868#126—84no—
869#125—24no—
870#125—28no—
871#125—28no—
872#125—28no—
873#124—24no—
874#124—28no—
875#124—28no—
876#124—24no—
877#124—44no—
878#124—48no—
879#124—44no—
880#124—84no—
881#123—28no—
882#123—216no—
883#123—48no—
884#123—48no—
885C22⋊Q8—24no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—28no—
889C22⋊Q8—42no—
890C22⋊Q8—44no—
891#121—28no—
892#121—24no—
893#121—24no—
894#121—28no—
895#121—216no—
896#121—28no—
897#121—24no—
898#121—216no—
899#121—28no—
900#121—44no—
901#121—48no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—42no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—84no—
910#121—82no—
911C4×Q8—28no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—84no—
919C4×Q8#4118yes—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—216no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—48no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—42no—
940C4×D4—48no—
941C4×D4—48no—
942C4×D4—48no—
943C4×D4—84no—
944C4×D4—82no—
945#117—24no—
946#117—28no—
947#117—28no—
948#117—28no—
949#117—44no—
950#117—48no—
951#117—48no—
952#117—44no—
953#117—42no—
954#117—42no—
955#117—44no—
956#117—44no—
957#117#4118yescomplemented
958C2×C4⋊C4—28no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—82no—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—28no—
1093C2×C42—48no—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195C24C2514yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198#41—432no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8C2×#4114yes—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—44no—
1235C2×D4—41no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—28no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—44no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—41no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4C2×#4114yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—22no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4C2×#4114yes—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4C2×#4114yes—
1397C4⋊C4C2×#4118yes—
1398C22⋊C4—24no—
1399C22⋊C4—22no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—22no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—41no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4C2×#4118yes—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—22no—
1481C42—24no—
1482C42—24no—
1483C42—22no—
1484C42—44no—
1485C42—44no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—41no—
1493C42—42no—
1494C42—41no—
1495C42—42no—
1496C42—42no—
1497C42—44no—
1498C42—44no—
1499C42—42no—
1500C42—44no—
1501C42—42no—
1502C42C2×#4114yes—
1503C42C2×#4118yes—
1504C42C2×#4118yes—
1505C42H(5,𝔽2)14yes—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—24no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—24no—
1520C23—22no—
1521C23—21no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—22no—
1527C23—24no—
1528C23—21no—
1529C23—24no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—24no—
1535C23—22no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—21no—
1540C23C22×#4112yes—
1541C23C2611yescharacteristic
1542Q8—28no—
1543Q8—48no—
1544Q8—44no—
1545Q8—84no—
1546D4—44no—
1547D4—416no—
1548D4—48no—
1549D4—44no—
1550D4—44no—
1551D4—48no—
1552D4—88no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—88no—
1557D4—84no—
1558D4—84no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
1562D4—164no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—28no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—416no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—48no—
1647C2×C4—82no—
1648C2×C4—88no—
1649C2×C4—88no—
1650C2×C4—84no—
1651C2×C4—88no—
1652C2×C4—164no—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4#58512yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22—44no—
1679C22—41no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—41no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—41no—
1691C22—42no—
1692C22—42no—
1693C22—44no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—42no—
1702C22—44no—
1703C22C23×#4111yescharacteristic
1704C22C23×#4111yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C2×#58511yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22H(7,𝔽2)11yescharacteristic
1710C4—24no—
1711C4—22no—
1712C4—22no—
1713C4—24no—
1714C4—24no—
1715C4—22no—
1716C4—24no—
1717C4—22no—
1718C4—22no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4—41no—
1723C4—42no—
1724C4—41no—
1725C4—41no—
1726C4—42no—
1727C4—42no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—44no—
1733C4—42no—
1734C4—44no—
1735C4—44no—
1736C4—41no—
1737C4—42no—
1738C4#348014yes—
1739C4#350614yes—
1740C2—42no—
1741C2—82no—
1742C2—81no—
1743C2—82no—
1744C2—84no—
1745C2C2×#348011yescharacteristic
1746C2C2×#350611yescharacteristic
1747C2#6280011yescharacteristic
1748C2#6295511yescharacteristic
1749C2#6299411yescharacteristic
1750C2#6300811yescharacteristic
1751C2#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. #59721C2semidirect
2. #59646C2semidirect
3. #59645C2semidirect
4. #59640C2semidirect
5. #59640C2semidirect
6. #59303C2semidirect
7. #59243C2semidirect
8. #59058C2semidirect
9. #44911C2semidirect
10. #44907C2semidirect
11. #44276C2semidirect
12. #44065C2semidirect
13. #40270C2semidirect
14. #39783C2semidirect
15. #39725C2semidirect
16. #39552C2semidirect
17. #39218C2semidirect
18. #39138C2semidirect
19. #36535C2semidirect
20. #36503C2semidirect
21. #36472C2semidirect
22. #36460C2semidirect
23. #36436C2semidirect
24. #36252C2semidirect
25. #36182C2semidirect
26. #36114C2semidirect
27. #35830C2semidirect
28. #35785C2semidirect
29. #34919C2semidirect
30. #34910C2semidirect
31. #34319C2semidirect
32. #34242C2semidirect
33. #34214C2semidirect
34. C4×#555C2semidirect
35. C4×#550C2semidirect
957. #117#41semidirect

Maximal subgroups

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

subgroupindex
#597212
#596462
#596452
#596402
#593032
#592432
#590582
#449112
#449072
#442762
#440652
#402702
#397832
#397252
#395522
#392182
#391382
#365352
#365032
#364722
#364602
#364362
#362522
#361822
#361142
#358302
#357852
#349192
#349102
#343192
#342422
#342142
C4×#5552
C4×#5502