Finite Group Databasebeta

← #7658012

Subgroups — #7658012

Order 512.

5210 conjugacy classes of subgroups.

The subgroup lattice has 1805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42473C212yesmaximal, complemented
2#42471C212yesmaximal, complemented
3#42448C212yesmaximal, complemented
4#42447C212yesmaximal, complemented
5#41027C214yesmaximal, complemented
6#41015C214yesmaximal, complemented
7#41012C214yesmaximal, complemented
8#41003C214yesmaximal, complemented
9#39505C211yesmaximal, characteristic, complemented
10#39378C211yesmaximal, characteristic, complemented
11#39275C212yesmaximal, complemented
12#39269C212yesmaximal, complemented
13#39193C211yesmaximal, characteristic, complemented
14#39191C211yesmaximal, characteristic, complemented
15#37961C212yesmaximal, complemented
16#37775C212yesmaximal, complemented
17#37639C211yesmaximal, characteristic, complemented
18#37621C211yesmaximal, characteristic, complemented
19#37516C212yesmaximal, complemented
20#37513C212yesmaximal, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36464C211yesmaximal, characteristic, complemented
23#36187C211yesmaximal, characteristic, complemented
24#36114C211yesmaximal, characteristic, complemented
25#35830C212yesmaximal, complemented
26#35828C212yesmaximal, complemented
27#35756C212yesmaximal, complemented
28#35752C212yesmaximal, complemented
29#35294C211yesmaximal, characteristic, complemented
30#35259C212yesmaximal, complemented
31#34624C211yesmaximal, characteristic, complemented
32#34614C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#553C2212yes—
38C2×#540C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2212yes—
45#2868C2211yescharacteristic
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2856C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2851C2212yes—
53#2832C2214yes—
54#2828C2214yes—
55#2826C2214yes—
56#2824C2214yes—
57#2819C2214yes—
58#2813C2214yes—
59#2804C2214yes—
60#2803C2214yes—
61#2797C2214yes—
62#2795C2214yes—
63#2788C2214yes—
64#2786C2214yes—
65#2779C2214yes—
66#2775C2214yes—
67#2767C2214yes—
68#2757C2214yes—
69#2754C2214yes—
70#2753C2214yes—
71#2751C2214yes—
72#2751C2214yes—
73#2731C2214yes—
74#2714C2214yes—
75#2711C2214yes—
76#2710C2214yes—
77#2709C2214yes—
78#2705C2214yes—
79#2701C2214yes—
80#2701C2214yes—
81#2682C2214yes—
82#2673C2214yes—
83#2665C2214yes—
84#2662C2212yes—
85#2662C2214yes—
86#2662C2214yes—
87#2662C2212yes—
88#2661C2212yes—
89#2661C2212yes—
90#2660C2211yescharacteristic
91#2657C2211yescharacteristic
92#2650C2214yes—
93#2648C2214yes—
94#2641C2211yescharacteristic
95#2640C2211yescharacteristic
96#2637C2214yes—
97#2636C2214yes—
98#2635C2214yes—
99#2635C2214yes—
100#2631C2214yes—
101#2631C2214yes—
102#2630C2214yes—
103#2630C2214yes—
104#2629C2212yes—
105#2629C2212yes—
106#2628C2212yes—
107#2628C2212yes—
108#2625C2212yes—
109#2624C2212yes—
110#2620C2211yescharacteristic
111#2620C2212yes—
112#2620C2211yescharacteristic
113#2619C2214yes—
114#2619C2211yescharacteristic
115#2619C2211yescharacteristic
116#2619C2212yes—
117#2616C2212yes—
118#2615C2212yes—
119#2615C2212yes—
120#2615C2212yes—
121#2615C2212yes—
122#2615C2212yes—
123#2602C2214yes—
124#2601C2214yes—
125#2600C2214yes—
126#2599C2214yes—
127#2592C2214yes—
128#2575C2214yes—
129#2572C2214yes—
130#2570C2212yes—
131#2570C2212yes—
132#2563C2212yes—
133#2563C2212yes—
134#2563C2212yes—
135#2562C2212yes—
136#2562C2212yes—
137#2559C2214yes—
138#2558C2214yes—
139#2557C2214yes—
140#2555C2214yes—
141#2550C2212yes—
142#2550C2212yes—
143#2544C2214yes—
144#2541C2212yes—
145#2541C2212yes—
146#2540C2212yes—
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic
149#2537C2211yescharacteristic
150#2537C2211yescharacteristic
151#2537C2211yescharacteristic
152#2537C2211yescharacteristic
153#2537C2211yescharacteristic
154#2537C2212yes—
155#2537C2211yescharacteristic
156#2535C2212yes—
157#2524C2214yes—
158#2518C2214yes—
159#2516C2214yes—
160#2504C2212yes—
161#2500C2214yes—
162#2500C2212yes—
163#2497C2212yes—
164#2497C2212yes—
165#2497C2212yes—
166#2496C2212yes—
167#2496C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2495C2212yes—
171#2492C2212yes—
172#2491C2214yes—
173#2491C2212yes—
174#2491C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2490C2212yes—
178#2487C2212yes—
179#2486C2212yes—
180#2486C2212yes—
181#2485C2212yes—
182#2471C2214yes—
183#2470C2214yes—
184#2469C2214yes—
185#2467C2214yes—
186#2466C2214yes—
187#2464C2214yes—
188#2464C2214yes—
189#2459C2214yes—
190#2459C2214yes—
191#2458C2214yes—
192#2458C2214yes—
193#2458C2214yes—
194#2456C2214yes—
195#2456C2214yes—
196#2456C2214yes—
197#2456C2214yes—
198#2456C2214yes—
199#2442C2212yes—
200#2441C2212yes—
201#2441C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2428C2212yes—
206#2428C2214yes—
207#2428C2212yes—
208#2427C2212yes—
209#2426C2212yes—
210#2422C2212yes—
211#2422C2212yes—
212#2421C2212yes—
213#2420C2212yes—
214#2420C2212yes—
215#2420C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2414C2212yes—
220#2414C2214yes—
221#2414C2212yes—
222#2414C2212yes—
223#2396C2214yes—
224#2392C2214yes—
225#2392C2214yes—
226#2392C2214yes—
227#2392C2212yes—
228#2392C2212yes—
229#2388C2212yes—
230#2388C2212yes—
231#2370C2212yes—
232#2367C2212yes—
233#2367C2214yes—
234#2367C2212yes—
235#2367C2212yes—
236#2366C2211yescharacteristic
237#2366C2211yescharacteristic
238#2366C2212yes—
239#2365C2212yes—
240#2365C2211yescharacteristic
241#2365C2211yescharacteristic
242#2364C2212yes—
243#2364C2212yes—
244#2363C2212yes—
245#2361C2212yes—
246#2361C2211yescharacteristic
247#2361C2211yescharacteristic
248#2361C2211yescharacteristic
249#2361C2211yescharacteristic
250#2359C2214yes—
251#2355C2211yescharacteristic
252#2354C2211yescharacteristic
253#2354C2211yescharacteristic
254#2354C2211yescharacteristic
255#2354C2212yes—
256#2352C2212yes—
257#2352C2212yes—
258#2352C2212yes—
259#2352C2212yes—
260Q8×C4⋊C4C2211yescharacteristic
261D4×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2212yes—
265#2347C2212yes—
266#2344C2212yes—
267#2334C2214yes—
268#2331C2212yes—
269#2330C2212yes—
270#2325C2214yes—
271#2324C2212yes—
272#2324C2212yes—
273#2314C2212yes—
274#2314C2212yes—
275#2311C2212yes—
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×#124C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2297C2212yes—
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2285C2211yescharacteristic
294#2274C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#555—48no—
302#553—48no—
303#540—48no—
304#532—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2314yes—
316#529—28no—
317#529—48no—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367#520—48no—
368C4×#41—48no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2314yes—
413C2×#117C2314yes—
414C2×#117C2312yes—
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C42C2312yes—
423C22×C42C2312yes—
424C22×C42C2312yes—
425C22×C42C2311yescharacteristic
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#395C2314yes—
473#395C2312yes—
474#395C2314yes—
475#395C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2312yes—
523#393C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2312yes—
539#392C2312yes—
540#392C2312yes—
541#392C2314yes—
542#392C2312yes—
543#392C2312yes—
544#392C2312yes—
545#392C2312yes—
546#391C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2314yes—
550#391C2314yes—
551#391C2314yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#383C2314yes—
723#383C2314yes—
724#382C2314yes—
725#382C2314yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2311yescharacteristic
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2311yescharacteristic
815#376C2311yescharacteristic
816C2×#95C2312yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874C4⋊Q8—82no—
875#127—24no—
876#127—24no—
877#127—24no—
878#127—42no—
879#127—84no—
880#126—28no—
881#126—48no—
882#126—48no—
883#125—24no—
884#125—28no—
885#125—44no—
886#125—82no—
887#124—24no—
888#124—28no—
889#124—28no—
890#124—24no—
891#124—48no—
892#124—48no—
893#124—42no—
894#124—84no—
895#123—28no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—84no—
901C22⋊Q8—24no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904#121—24no—
905#121—24no—
906#121—24no—
907#121—24no—
908#121—24no—
909#121—28no—
910#121—28no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—84no—
928#121—84no—
929C4×Q8—24no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—48no—
933C4×Q8—44no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—42no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—48no—
964C4×D4—84no—
965#117—28no—
966#117—28no—
967#117—28no—
968#117—24no—
969#117—28no—
970#117—42no—
971#117—44no—
972#117—48no—
973#117—48no—
974#117—44no—
975#117—44no—
976#117—82no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—42no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C42—28no—
1113C2×C42—44no—
1114C2×C42—44no—
1115C2×C42#4118yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204C24C2512yes—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2512yes—
1208C24C2512yes—
1209C24C2511yescharacteristic
1210#41—432no—
1211#41—432no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—28no—
1320C22×C4—24no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4C2×#4114yes—
1345C22×C4C2×#4114yes—
1346C22×C4C2×#4114yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2514yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4H(5,𝔽2)14yes—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C42—24no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—22no—
1511C42—24no—
1512C42—28no—
1513C42—28no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—42no—
1521C42—42no—
1522C42—42no—
1523C42—42no—
1524C42—41no—
1525C42—41no—
1526C42—44no—
1527C42—44no—
1528C42—44no—
1529C42—44no—
1530C42—44no—
1531C42—41no—
1532C42—41no—
1533C42C2×#4114yes—
1534C42C2×#4114yes—
1535C42C2×#4114yes—
1536C42C2×#4114yes—
1537C42H(5,𝔽2)14yes—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23C22×#4112yes—
1580C23C2611yescharacteristic
1581Q8—48no—
1582Q8—48no—
1583Q8—44no—
1584Q8—164no—
1585D4—48no—
1586D4—48no—
1587D4—48no—
1588D4—48no—
1589D4—48no—
1590D4—48no—
1591D4—48no—
1592D4—44no—
1593D4—44no—
1594D4—44no—
1595D4—44no—
1596D4—44no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—88no—
1603D4—88no—
1604D4—84no—
1605D4—164no—
1606D4—164no—
1607D4—164no—
1608D4—164no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—28no—
1624C2×C4—28no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—44no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—48no—
1691C2×C4—48no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—88no—
1695C2×C4—84no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—164no—
1699C2×C4—164no—
1700C2×C4C22×#4112yes—
1701C2×C4C22×#4112yes—
1702C2×C4C22×#4112yes—
1703C2×C4C22×#4112yes—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4112yes—
1706C2×C4C2×H(5,𝔽2)14yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4C2×H(5,𝔽2)12yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4#58512yes—
1712C2×C4#58512yes—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22C23×#4111yescharacteristic
1756C22C22×H(5,𝔽2)11yescharacteristic
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C2×#58511yescharacteristic
1759C22C2×#58511yescharacteristic
1760C22H(7,𝔽2)11yescharacteristic
1761C222−1+611yescharacteristic
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—24no—
1767C4—22no—
1768C4—22no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—44no—
1776C4—41no—
1777C4—44no—
1778C4—44no—
1779C4—41no—
1780C4—41no—
1781C4—42no—
1782C4—42no—
1783C4—44no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—41no—
1788C4—41no—
1789C4#346014yes—
1790C4#350614yes—
1791C2—42no—
1792C2—82no—
1793C2—82no—
1794C2—82no—
1795C2—82no—
1796C2—82no—
1797C2C2×#346011yescharacteristic
1798C2C2×#350611yescharacteristic
1799C2#6285611yescharacteristic
1800C2#6291411yescharacteristic
1801C2#6292311yescharacteristic
1802C2#6293011yescharacteristic
1803C2#6293911yescharacteristic
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. #42473C2semidirect
2. #42471C2semidirect
3. #42448C2semidirect
4. #42447C2semidirect
5. #41027C2semidirect
6. #41015C2semidirect
7. #41012C2semidirect
8. #41003C2semidirect
9. #39505C2semidirect
10. #39378C2semidirect
11. #39275C2semidirect
12. #39269C2semidirect
13. #39193C2semidirect
14. #39191C2semidirect
15. #37961C2semidirect
16. #37775C2semidirect
17. #37639C2semidirect
18. #37621C2semidirect
19. #37516C2semidirect
20. #37513C2semidirect
21. #36468C2semidirect
22. #36464C2semidirect
23. #36187C2semidirect
24. #36114C2semidirect
25. #35830C2semidirect
26. #35828C2semidirect
27. #35756C2semidirect
28. #35752C2semidirect
29. #35294C2semidirect
30. #35259C2semidirect
31. #34624C2semidirect
32. #34614C2semidirect
33. #34243C2semidirect
34. #34206C2semidirect
35. #34141C2semidirect

Maximal subgroups

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

subgroupindex
#424732
#424712
#424482
#424472
#410272
#410152
#410122
#410032
#395052
#393782
#392752
#392692
#391932
#391912
#379612
#377752
#376392
#376212
#375162
#375132
#364682
#364642
#361872
#361142
#358302
#358282
#357562
#357522
#352942
#352592
#346242
#346142
#342432
#342062
#341412