Finite Group Databasebeta

← #7987597

Subgroups — #7987597

Order 512.

5220 conjugacy classes of subgroups.

The subgroup lattice has 1763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59676C212yesmaximal, complemented
2#59657C212yesmaximal, complemented
3#59641C211yesmaximal, characteristic, complemented
4#59314C211yesmaximal, characteristic, complemented
5#59259C211yesmaximal, characteristic, complemented
6#49834C214yesmaximal, complemented
7#48318C214yesmaximal, complemented
8#46114C214yesmaximal, complemented
9#45259C212yesmaximal, complemented
10#45068C212yesmaximal, complemented
11#45038C212yesmaximal, complemented
12#44915C212yesmaximal, complemented
13#42989C212yesmaximal, complemented
14#42946C212yesmaximal, complemented
15#42624C212yesmaximal, complemented
16#42574C212yesmaximal, complemented
17#40420C214yesmaximal, complemented
18#39560C212yesmaximal, complemented
19#39341C211yesmaximal, characteristic, complemented
20#39161C212yesmaximal, complemented
21#38942C211yesmaximal, characteristic, complemented
22#38941C211yesmaximal, characteristic, complemented
23#38909C211yesmaximal, characteristic, complemented
24#36590C211yesmaximal, characteristic, complemented
25#36492C212yesmaximal, complemented
26#36471C212yesmaximal, complemented
27#36261C211yesmaximal, characteristic, complemented
28#36182C211yesmaximal, characteristic, complemented
29#35255C212yesmaximal, complemented
30#35175C212yesmaximal, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34889C211yesmaximal, characteristic, complemented
33#34384C211yesmaximal, characteristic, complemented
34#34367C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#554C2212yes—
38C2×#554C2212yes—
39C2×#553C2212yes—
40C2×#550C2211yescharacteristic
41C2×#537C2212yes—
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2212yes—
45#2861C2212yes—
46#2859C2211yescharacteristic
47#2857C2212yes—
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2855C2214yes—
51#2854C2214yes—
52#2851C2214yes—
53#2838C2214yes—
54#2829C2214yes—
55#2801C2214yes—
56#2778C2214yes—
57#2778C2214yes—
58#2768C2214yes—
59#2759C2214yes—
60#2757C2214yes—
61#2756C2214yes—
62#2756C2214yes—
63#2753C2214yes—
64#2747C2214yes—
65#2746C2214yes—
66#2741C2214yes—
67#2737C2214yes—
68#2730C2214yes—
69#2730C2214yes—
70#2730C2214yes—
71#2723C2214yes—
72#2720C2214yes—
73#2711C2214yes—
74#2710C2214yes—
75#2708C2214yes—
76#2699C2214yes—
77#2692C2214yes—
78#2691C2214yes—
79#2688C2214yes—
80#2686C2214yes—
81#2681C2214yes—
82#2681C2214yes—
83#2676C2214yes—
84#2676C2214yes—
85#2675C2214yes—
86#2672C2214yes—
87#2671C2214yes—
88#2667C2214yes—
89#2665C2214yes—
90#2663C2214yes—
91#2653C2214yes—
92#2641C2212yes—
93#2640C2212yes—
94#2625C2214yes—
95#2624C2214yes—
96#2624C2212yes—
97#2615C2212yes—
98#2602C2214yes—
99#2602C2214yes—
100#2597C2214yes—
101#2594C2214yes—
102#2589C2214yes—
103#2587C2214yes—
104#2585C2214yes—
105#2584C2212yes—
106#2583C2214yes—
107#2582C2211yescharacteristic
108#2580C2212yes—
109#2574C2214yes—
110#2573C2212yes—
111#2573C2212yes—
112#2571C2211yescharacteristic
113#2568C2211yescharacteristic
114#2566C2212yes—
115#2565C2212yes—
116#2563C2212yes—
117#2562C2214yes—
118#2560C2214yes—
119#2559C2212yes—
120#2557C2212yes—
121#2556C2214yes—
122#2555C2214yes—
123#2553C2214yes—
124#2552C2211yescharacteristic
125#2551C2211yescharacteristic
126#2550C2211yescharacteristic
127#2550C2212yes—
128#2549C2214yes—
129#2548C2211yescharacteristic
130#2547C2211yescharacteristic
131#2544C2212yes—
132#2544C2211yescharacteristic
133#2543C2214yes—
134#2542C2212yes—
135#2541C2211yescharacteristic
136#2541C2212yes—
137#2540C2214yes—
138#2540C2211yescharacteristic
139#2538C2211yescharacteristic
140#2538C2211yescharacteristic
141#2537C2212yes—
142#2535C2211yescharacteristic
143#2535C2214yes—
144#2525C2214yes—
145#2521C2212yes—
146#2521C2214yes—
147#2514C2212yes—
148#2514C2212yes—
149#2513C2212yes—
150#2513C2212yes—
151#2512C2212yes—
152#2512C2212yes—
153#2510C2214yes—
154#2508C2212yes—
155#2507C2212yes—
156#2506C2212yes—
157#2504C2212yes—
158#2501C2212yes—
159#2500C2212yes—
160#2500C2212yes—
161#2497C2212yes—
162#2494C2211yescharacteristic
163#2494C2211yescharacteristic
164#2494C2212yes—
165#2492C2211yescharacteristic
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2490C2212yes—
170#2490C2211yescharacteristic
171#2487C2212yes—
172#2477C2214yes—
173#2477C2214yes—
174#2464C2212yes—
175#2464C2214yes—
176#2463C2214yes—
177#2463C2214yes—
178#2463C2214yes—
179#2461C2214yes—
180#2456C2214yes—
181#2455C2214yes—
182#2454C2212yes—
183#2452C2212yes—
184#2449C2214yes—
185#2448C2212yes—
186#2447C2212yes—
187#2445C2212yes—
188#2444C2214yes—
189#2444C2214yes—
190#2443C2214yes—
191#2443C2214yes—
192#2443C2214yes—
193#2441C2212yes—
194#2440C2212yes—
195#2440C2212yes—
196#2440C2212yes—
197#2440C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2211yescharacteristic
202#2428C2212yes—
203#2427C2211yescharacteristic
204#2427C2212yes—
205#2427C2212yes—
206#2423C2212yes—
207#2423C2212yes—
208#2422C2212yes—
209#2422C2212yes—
210#2422C2212yes—
211#2421C2211yescharacteristic
212#2421C2211yescharacteristic
213#2421C2212yes—
214#2420C2212yes—
215#2420C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2416C2212yes—
220#2414C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2401C2212yes—
224#2401C2212yes—
225#2395C2212yes—
226#2388C2212yes—
227#2383C2214yes—
228#2377C2214yes—
229#2366C2212yes—
230#2366C2211yescharacteristic
231#2363C2212yes—
232#2363C2212yes—
233#2363C2214yes—
234#2363C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2361C2214yes—
238#2361C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2361C2212yes—
243#2360C2212yes—
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2212yes—
249#2352C2212yes—
250#2352C2212yes—
251#2352C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2211yescharacteristic
259#2347C2212yes—
260#2341C2212yes—
261#2337C2214yes—
262#2331C2212yes—
263#2330C2212yes—
264#2328C2212yes—
265#2326C2212yes—
266#2322C2214yes—
267#2319C2212yes—
268#2319C2212yes—
269#2317C2212yes—
270#2314C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#127C2211yescharacteristic
277C4×#125C2212yes—
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2214yes—
287C4×#121C2214yes—
288#2297C2212yes—
289#2295C2212yes—
290C2×#389C2212yes—
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#559—48no—
302#554—48no—
303#554—48no—
304#553—48no—
305#550—28no—
306#537—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316#529—28no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C4×#41—48no—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2314yes—
419C22×C42C2312yes—
420#401C2314yes—
421#401C2312yes—
422#401C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2311yescharacteristic
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#383C2312yes—
722#383C2312yes—
723#383C2314yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2314yes—
733#382C2312yes—
734#381C2312yes—
735#381C2312yes—
736#381C2314yes—
737#381C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C4⋊Q8—24no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869#127—24no—
870#127—28no—
871#127—24no—
872#127—44no—
873#126—28no—
874#126—48no—
875#125—24no—
876#125—28no—
877#125—48no—
878#125—44no—
879#124—24no—
880#124—28no—
881#124—24no—
882#124—44no—
883#124—44no—
884#124—48no—
885#124—84no—
886#123—28no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—84no—
891C22⋊Q8—24no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—84no—
903#121—24no—
904#121—24no—
905#121—28no—
906#121—24no—
907#121—24no—
908#121—28no—
909#121—216no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—44no—
915#121—48no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—82no—
925#121—84no—
926C4×Q8—24no—
927C4×Q8—28no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—28no—
931C4×Q8—42no—
932C4×Q8—44no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—48no—
943C4×D4—44no—
944C4×D4—48no—
945C4×D4—48no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—42no—
955C4×D4—84no—
956C4×D4—82no—
957C4×D4—84no—
958C4×D4#4118yes—
959#117—28no—
960#117—44no—
961#117—44no—
962#117—48no—
963#117—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—48no—
970C2×C4⋊C4—82no—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—48no—
1100C2×C42—44no—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2414yes—
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2512yes—
1199C24C2514yes—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202C24C2511yescharacteristic
1203#41—432no—
1204#41—816no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8H(5,𝔽2)14yes—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—42no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4C2×#4114yes—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—28no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—41no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—41no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4C2×#4118yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4C2×#4114yes—
1417C4⋊C42−1+414yes—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4C2×#4118yes—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—28no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—22no—
1497C42—22no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—41no—
1504C42—44no—
1505C42—41no—
1506C42—42no—
1507C42—44no—
1508C42—42no—
1509C42—42no—
1510C42C2×#4114yes—
1511C42H(5,𝔽2)14yes—
1512C23—21no—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—24no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—21no—
1530C23—21no—
1531C23—24no—
1532C23—24no—
1533C23—21no—
1534C23—24no—
1535C23—22no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—24no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—24no—
1545C23C22×#4114yes—
1546C23#58512yes—
1547C23C2611yescharacteristic
1548Q8—28no—
1549Q8—44no—
1550Q8—84no—
1551Q8—84no—
1552Q8—164no—
1553D4—28no—
1554D4—44no—
1555D4—48no—
1556D4—416no—
1557D4—48no—
1558D4—44no—
1559D4—48no—
1560D4—48no—
1561D4—84no—
1562D4—84no—
1563D4—88no—
1564D4—84no—
1565D4—88no—
1566D4—84no—
1567D4—84no—
1568D4—88no—
1569D4—164no—
1570D4—164no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—216no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—416no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—82no—
1658C2×C4—84no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—84no—
1662C2×C4—88no—
1663C2×C4—164no—
1664C2×C4—164no—
1665C2×C4—164no—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4112yes—
1670C2×C4C2×H(5,𝔽2)14yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×2−1+414yes—
1676C2×C4C2×2−1+412yes—
1677C2×C4#58512yes—
1678C22—22no—
1679C22—22no—
1680C22—24no—
1681C22—22no—
1682C22—24no—
1683C22—24no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—41no—
1692C22—41no—
1693C22—44no—
1694C22—42no—
1695C22—41no—
1696C22—44no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—41no—
1701C22—44no—
1702C22—41no—
1703C22—42no—
1704C22—41no—
1705C22—42no—
1706C22—44no—
1707C22—44no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—44no—
1712C22—42no—
1713C22C23×#4111yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C22×2−1+411yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22H(7,𝔽2)11yescharacteristic
1720C4—22no—
1721C4—22no—
1722C4—24no—
1723C4—24no—
1724C4—24no—
1725C4—22no—
1726C4—42no—
1727C4—44no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4—41no—
1736C4—41no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—42no—
1741C4—44no—
1742C4—42no—
1743C4—42no—
1744C4—44no—
1745C4—42no—
1746C4—41no—
1747C4—42no—
1748C4#351114yes—
1749C4#351314yes—
1750C2—42no—
1751C2—44no—
1752C2—81no—
1753C2—84no—
1754C2—82no—
1755C2#6274811yescharacteristic
1756C2C2×#351311yescharacteristic
1757C2C2×#351111yescharacteristic
1758C2#6291611yescharacteristic
1759C2#6295211yescharacteristic
1760C2#6300811yescharacteristic
1761C2#6301511yescharacteristic
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. #59676C2semidirect
2. #59657C2semidirect
3. #59641C2semidirect
4. #59314C2semidirect
5. #59259C2semidirect
6. #49834C2semidirect
7. #48318C2semidirect
8. #46114C2semidirect
9. #45259C2semidirect
10. #45068C2semidirect
11. #45038C2semidirect
12. #44915C2semidirect
13. #42989C2semidirect
14. #42946C2semidirect
15. #42624C2semidirect
16. #42574C2semidirect
17. #40420C2semidirect
18. #39560C2semidirect
19. #39341C2semidirect
20. #39161C2semidirect
21. #38942C2semidirect
22. #38941C2semidirect
23. #38909C2semidirect
24. #36590C2semidirect
25. #36492C2semidirect
26. #36471C2semidirect
27. #36261C2semidirect
28. #36182C2semidirect
29. #35255C2semidirect
30. #35175C2semidirect
31. #34945C2semidirect
32. #34889C2semidirect
33. #34384C2semidirect
34. #34367C2semidirect
35. C4×#550C2semidirect

Maximal subgroups

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

subgroupindex
#596762
#596572
#596412
#593142
#592592
#498342
#483182
#461142
#452592
#450682
#450382
#449152
#429892
#429462
#426242
#425742
#404202
#395602
#393412
#391612
#389422
#389412
#389092
#365902
#364922
#364712
#362612
#361822
#352552
#351752
#349452
#348892
#343842
#343672
C4×#5502