Finite Group Databasebeta

← #8467049

Subgroups — #8467049

Order 512.

5072 conjugacy classes of subgroups.

The subgroup lattice has 1781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#56507C214yesmaximal, complemented
5#55434C214yesmaximal, complemented
6#55335C214yesmaximal, complemented
7#53116C212yesmaximal, complemented
8#53080C212yesmaximal, complemented
9#48491C214yesmaximal, complemented
10#46050C212yesmaximal, complemented
11#45594C212yesmaximal, complemented
12#45404C212yesmaximal, complemented
13#45171C212yesmaximal, complemented
14#42893C212yesmaximal, complemented
15#42673C212yesmaximal, complemented
16#42627C212yesmaximal, complemented
17#42575C212yesmaximal, complemented
18#40033C212yesmaximal, complemented
19#39789C212yesmaximal, complemented
20#39771C211yesmaximal, characteristic, complemented
21#39765C212yesmaximal, complemented
22#39724C211yesmaximal, characteristic, complemented
23#39174C211yesmaximal, characteristic, complemented
24#38941C211yesmaximal, characteristic, complemented
25#38094C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37371C212yesmaximal, complemented
28#37336C212yesmaximal, complemented
29#36473C211yesmaximal, characteristic, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35285C211yesmaximal, characteristic, complemented
33#35190C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#556C2212yes—
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C22×#127C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic, complemented
45#2860C2212yescomplemented
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2858C2212yes—
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yescomplemented
52#2850C2212yescomplemented
53#2850C2212yescomplemented
54#2830C2214yescomplemented
55#2828C2214yescomplemented
56#2828C2214yescomplemented
57#2824C2214yescomplemented
58#2824C2214yescomplemented
59#2824C2214yescomplemented
60#2819C2214yescomplemented
61#2812C2214yes—
62#2808C2214yescomplemented
63#2808C2214yescomplemented
64#2804C2214yescomplemented
65#2803C2214yescomplemented
66#2800C2214yescomplemented
67#2797C2214yescomplemented
68#2797C2214yescomplemented
69#2796C2214yescomplemented
70#2782C2214yescomplemented
71#2779C2214yescomplemented
72#2778C2214yescomplemented
73#2753C2214yescomplemented
74#2751C2214yescomplemented
75#2750C2214yescomplemented
76#2749C2214yescomplemented
77#2743C2214yescomplemented
78#2737C2214yescomplemented
79#2736C2214yes—
80#2735C2214yes—
81#2730C2214yescomplemented
82#2724C2214yescomplemented
83#2719C2214yescomplemented
84#2714C2214yescomplemented
85#2714C2214yescomplemented
86#2712C2214yescomplemented
87#2712C2214yescomplemented
88#2711C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2710C2214yescomplemented
92#2705C2214yescomplemented
93#2701C2214yescomplemented
94#2701C2214yescomplemented
95#2700C2214yescomplemented
96#2699C2214yescomplemented
97#2697C2214yes—
98#2696C2214yescomplemented
99#2691C2214yescomplemented
100#2691C2214yescomplemented
101#2690C2214yes—
102#2686C2214yescomplemented
103#2686C2214yescomplemented
104#2685C2214yes—
105#2684C2214yes—
106#2684C2214yes—
107#2684C2214yes—
108#2673C2214yes—
109#2672C2214yescomplemented
110#2670C2214yes—
111#2662C2214yescomplemented
112#2649C2214yescomplemented
113#2648C2214yescomplemented
114#2644C2212yescomplemented
115#2644C2212yescomplemented
116#2641C2214yes—
117#2641C2212yescomplemented
118#2640C2212yescomplemented
119#2640C2212yescomplemented
120#2640C2212yescomplemented
121#2640C2212yescomplemented
122#2638C2214yescomplemented
123#2635C2214yescomplemented
124#2622C2214yes—
125#2622C2214yes—
126#2621C2212yes—
127#2604C2214yescomplemented
128#2598C2214yescomplemented
129#2597C2214yescomplemented
130#2597C2214yescomplemented
131#2592C2212yescomplemented
132#2592C2212yescomplemented
133#2582C2211yescharacteristic, complemented
134#2581C2212yescomplemented
135#2580C2212yescomplemented
136#2576C2214yescomplemented
137#2568C2212yescomplemented
138#2568C2211yescharacteristic, complemented
139#2566C2212yescomplemented
140#2563C2212yescomplemented
141#2551C2211yescharacteristic, complemented
142#2550C2212yescomplemented
143#2548C2211yescharacteristic
144#2548C2212yes—
145#2548C2211yescharacteristic
146#2548C2212yes—
147#2548C2211yescharacteristic
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2548C2212yescomplemented
151#2548C2212yescomplemented
152#2545C2212yescomplemented
153#2544C2212yes—
154#2544C2212yescomplemented
155#2542C2211yescharacteristic, complemented
156#2541C2211yescharacteristic
157#2541C2212yes—
158#2533C2212yescomplemented
159#2527C2212yescomplemented
160#2523C2212yes—
161#2521C2214yes—
162#2514C2211yescharacteristic, complemented
163#2513C2212yescomplemented
164#2513C2212yescomplemented
165#2509C2211yescharacteristic, complemented
166#2500C2212yescomplemented
167#2500C2212yescomplemented
168#2499C2211yescharacteristic
169#2496C2212yes—
170#2496C2211yescharacteristic, complemented
171#2492C2212yescomplemented
172#2492C2211yescharacteristic, complemented
173#2491C2212yes—
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2491C2212yescomplemented
177#2490C2212yescomplemented
178#2489C2212yes—
179#2485C2211yescharacteristic
180#2483C2214yes—
181#2480C2214yes—
182#2480C2214yes—
183#2480C2214yes—
184#2477C2212yes—
185#2476C2214yescomplemented
186#2475C2212yescomplemented
187#2472C2214yes—
188#2466C2212yes—
189#2464C2214yescomplemented
190#2463C2212yes—
191#2460C2212yescomplemented
192#2460C2214yescomplemented
193#2459C2214yescomplemented
194#2458C2214yescomplemented
195#2458C2214yescomplemented
196#2458C2214yescomplemented
197#2454C2212yescomplemented
198#2452C2212yescomplemented
199#2452C2212yescomplemented
200#2452C2211yescharacteristic, complemented
201#2448C2212yescomplemented
202#2448C2212yescomplemented
203#2447C2212yescomplemented
204#2447C2212yescomplemented
205#2447C2212yescomplemented
206#2447C2212yescomplemented
207#2446C2212yescomplemented
208#2446C2211yescharacteristic, complemented
209#2445C2212yes—
210#2445C2212yes—
211#2445C2212yes—
212#2445C2212yescomplemented
213#2439C2211yescharacteristic
214#2439C2211yescharacteristic, complemented
215#2435C2212yes—
216#2435C2212yes—
217#2435C2214yes—
218#2435C2212yes—
219#2433C2212yes—
220#2432C2212yescomplemented
221#2432C2212yescomplemented
222#2432C2212yescomplemented
223#2432C2211yescharacteristic, complemented
224#2431C2212yes—
225#2431C2212yes—
226#2431C2212yescomplemented
227#2431C2212yescomplemented
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2427C2211yescharacteristic
232#2427C2212yescomplemented
233#2426C2212yescomplemented
234#2426C2212yescomplemented
235#2426C2214yescomplemented
236#2426C2212yescomplemented
237#2421C2212yes—
238#2421C2211yescharacteristic
239#2420C2212yescomplemented
240#2420C2212yescomplemented
241#2415C2212yes—
242#2415C2211yescharacteristic
243#2415C2211yescharacteristic
244#2414C2212yescomplemented
245#2410C2214yes—
246#2408C2212yes—
247#2408C2212yes—
248#2408C2212yes—
249#2407C2211yescharacteristic
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2401C2212yes—
254#2398C2212yes—
255#2398C2212yescomplemented
256#2392C2212yes—
257#2377C2214yescomplemented
258#2367C2212yescomplemented
259#2367C2212yescomplemented
260#2366C2211yescharacteristic
261#2365C2211yescharacteristic, complemented
262#2363C2212yescomplemented
263#2363C2212yescomplemented
264#2362C2212yescomplemented
265#2357C2212yescomplemented
266#2355C2211yescharacteristic, complemented
267#2354C2211yescharacteristic, complemented
268#2341C2212yescomplemented
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2337C2214yescomplemented
273#2328C2212yescomplemented
274#2326C2212yescomplemented
275#2326C2212yescomplemented
276#2326C2212yescomplemented
277#2323C2212yes—
278#2319C2212yescomplemented
279#2309C2212yes—
280#2309C2212yes—
281C4×C4⋊Q8C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#126C2212yescomplemented
285C4×#124C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yescomplemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291#2297C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2295C2212yescomplemented
294#2295C2211yescharacteristic, complemented
295#2290C2212yes—
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#557—44no—
306#556—48no—
307#550—44no—
308#546—48no—
309#546—48no—
310#533—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127—44no—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2311yescharacteristic
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C4×#41—44no—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2314yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2314yes—
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2312yes—
415#401C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2314yes—
471#396C2312yes—
472#395C2314yes—
473#395C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2312yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2312yes—
527#393C2312yes—
528#393C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2314yes—
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2311yescharacteristic
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2312yes—
561#391C2312yes—
562#391C2311yescharacteristic
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2311yescharacteristic
606#390C2314yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#384C2311yescharacteristic
739#384C2312yes—
740#384C2311yescharacteristic
741#383C2312yes—
742#383C2312yes—
743#382C2311yescharacteristic
744#382C2312yes—
745#382C2314yes—
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2311yescharacteristic
749#381C2314yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2314yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772#379C2314yes—
773#379C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
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⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×Q8C2412yes—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C4⋊Q8—24no—
878C4⋊Q8—42no—
879C4⋊Q8—44no—
880C4⋊Q8—42no—
881C4⋊Q8—44no—
882C4⋊Q8—42no—
883C4⋊Q8—44no—
884#127—24no—
885#127—24no—
886#127—44no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#126—44no—
892#126—48no—
893#126—48no—
894#125—44no—
895#125—44no—
896#125—48no—
897#124—42no—
898#124—44no—
899#124—44no—
900#124—48no—
901#124—44no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—48no—
908#124—84no—
909#124—84no—
910#124—84no—
911#123—48no—
912#123—48no—
913#123—84no—
914C22⋊Q8—24no—
915C22⋊Q8—28no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—42no—
920C22⋊Q8—42no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923C22⋊Q8—44no—
924C22⋊Q8—84no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—44no—
930#121—44no—
931#121—42no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—82no—
938#120—48no—
939#120—48no—
940#120—84no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—24no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—48no—
947C4×Q8—42no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×D4—24no—
952C4×D4—28no—
953C4×D4—24no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—42no—
963C4×D4—44no—
964C4×D4—42no—
965C4×D4—44no—
966C4×D4—82no—
967#117—24no—
968#117—44no—
969#117—44no—
970#117—42no—
971#117—42no—
972#117—44no—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C22⋊C4—48no—
1029C2×C22⋊C4—48no—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—44no—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
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#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24—28no—
1202C24—44no—
1203C24—44no—
1204C24—44no—
1205C24—44no—
1206C24—44no—
1207C24—44no—
1208C24C2514yes—
1209C24C2514yes—
1210C24C2512yes—
1211C24C2511yescharacteristic
1212C24C2511yescharacteristic
1213#41—416no—
1214#41—816no—
1215#41—816no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—42no—
1230C2×Q8—44no—
1231C2×Q8—42no—
1232C2×Q8—44no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8—44no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—28no—
1258C2×D4—42no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
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—816no—
1295C2×D4—816no—
1296C2×D4—816no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4H(5,𝔽2)14yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—41no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—44no—
1445C22⋊C4—41no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—22no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—22no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—44no—
1516C42—41no—
1517C42—41no—
1518C42—44no—
1519C42—44no—
1520C42—42no—
1521C42—44no—
1522C42H(5,𝔽2)14yes—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—24no—
1533C23—24no—
1534C23—21no—
1535C23—24no—
1536C23—24no—
1537C23—21no—
1538C23—22no—
1539C23—21no—
1540C23—22no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—21no—
1546C23—22no—
1547C23—24no—
1548C23—24no—
1549C23—24no—
1550C23—24no—
1551C23—21no—
1552C23—22no—
1553C23—21no—
1554C23—24no—
1555C23—24no—
1556C23—22no—
1557C23—88no—
1558C23—88no—
1559C23—88no—
1560C23—88no—
1561C23—88no—
1562C23—164no—
1563C23—164no—
1564C23C2×H(5,𝔽2)12yes—
1565C23C2611yescharacteristic
1566Q8—44no—
1567Q8—44no—
1568Q8—48no—
1569Q8—44no—
1570Q8—84no—
1571Q8—88no—
1572Q8—84no—
1573D4—48no—
1574D4—44no—
1575D4—48no—
1576D4—48no—
1577D4—48no—
1578D4—44no—
1579D4—48no—
1580D4—48no—
1581D4—88no—
1582D4—84no—
1583D4—88no—
1584D4—84no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588D4—164no—
1589D4—164no—
1590D4—164no—
1591D4—164no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—28no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—44no—
1675C2×C4—48no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—82no—
1681C2×C4—84no—
1682C2×C4—88no—
1683C2×C4—88no—
1684C2×C4—164no—
1685C2×C4—164no—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4#58512yes—
1692C2×C4#58512yes—
1693C2×C4#58512yes—
1694C2×C4#58512yes—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—44no—
1705C22—44no—
1706C22—41no—
1707C22—42no—
1708C22—44no—
1709C22—44no—
1710C22—41no—
1711C22—42no—
1712C22—44no—
1713C22—44no—
1714C22—44no—
1715C22—41no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—41no—
1720C22—44no—
1721C22—44no—
1722C22—44no—
1723C22—42no—
1724C22—41no—
1725C22—44no—
1726C22—42no—
1727C22—44no—
1728C22—41no—
1729C22—44no—
1730C22—1616no—
1731C22C22×H(5,𝔽2)11yescharacteristic
1732C22C22×H(5,𝔽2)11yescharacteristic
1733C22C2×#58511yescharacteristic
1734C22C2×#58511yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22C2×#58511yescharacteristic
1737C22H(7,𝔽2)11yescharacteristic
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—41no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—42no—
1748C4—44no—
1749C4—41no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—41no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—41no—
1760C4—44no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—41no—
1766C4#354014yes—
1767C4#355814yes—
1768C2—42no—
1769C2—81no—
1770C2—82no—
1771C2—84no—
1772C2—84no—
1773C2C2×#354011yescharacteristic
1774C2C2×#355811yescharacteristic
1775C2#6283611yescharacteristic
1776C2#6292411yescharacteristic
1777C2#6295511yescharacteristic
1778C2#6296611yescharacteristic
1779C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59640C2semidirect
2. #59124C2semidirect
3. #59078C2semidirect
4. #56507C2semidirect
5. #55434C2semidirect
6. #55335C2semidirect
7. #53116C2semidirect
8. #53080C2semidirect
9. #48491C2semidirect
10. #46050C2semidirect
11. #45594C2semidirect
12. #45404C2semidirect
13. #45171C2semidirect
14. #42893C2semidirect
15. #42673C2semidirect
16. #42627C2semidirect
17. #42575C2semidirect
18. #40033C2semidirect
19. #39789C2semidirect
20. #39771C2semidirect
21. #39765C2semidirect
22. #39724C2semidirect
23. #39174C2semidirect
24. #38941C2semidirect
25. #38094C2semidirect
26. #37629C2semidirect
27. #37371C2semidirect
28. #37336C2semidirect
29. #36473C2semidirect
30. #36410C2semidirect
31. #36121C2semidirect
32. #35285C2semidirect
33. #35190C2semidirect
34. #34803C2semidirect
35. #34720C2semidirect
36. C2×#557C22semidirect
44. C2×C4×#41C22semidirect
45. #2860C22semidirect
51. #2854C22semidirect
52. #2850C22semidirect
53. #2850C22semidirect
54. #2830C22semidirect
55. #2828C22semidirect
56. #2828C22semidirect
57. #2824C22semidirect
58. #2824C22semidirect
59. #2824C22semidirect
60. #2819C22semidirect
62. #2808C22semidirect
63. #2808C22semidirect
64. #2804C22semidirect
65. #2803C22semidirect
66. #2800C22semidirect
67. #2797C22semidirect
68. #2797C22semidirect
69. #2796C22semidirect
70. #2782C22semidirect
71. #2779C22semidirect
72. #2778C22semidirect
73. #2753C22semidirect
74. #2751C22semidirect
75. #2750C22semidirect
76. #2749C22semidirect
77. #2743C22semidirect
78. #2737C22semidirect
81. #2730C22semidirect
82. #2724C22semidirect
83. #2719C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
86. #2712C22semidirect
87. #2712C22semidirect
88. #2711C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2710C22semidirect
92. #2705C22semidirect
93. #2701C22semidirect
94. #2701C22semidirect
95. #2700C22semidirect
96. #2699C22semidirect
98. #2696C22semidirect
99. #2691C22semidirect
100. #2691C22semidirect
102. #2686C22semidirect
103. #2686C22semidirect
109. #2672C22semidirect
111. #2662C22semidirect
112. #2649C22semidirect
113. #2648C22semidirect
114. #2644C22semidirect
115. #2644C22semidirect
117. #2641C22semidirect
118. #2640C22semidirect
119. #2640C22semidirect
120. #2640C22semidirect
121. #2640C22semidirect
122. #2638C22semidirect
123. #2635C22semidirect
127. #2604C22semidirect
128. #2598C22semidirect
129. #2597C22semidirect
130. #2597C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2582C22semidirect
134. #2581C22semidirect
135. #2580C22semidirect
136. #2576C22semidirect
137. #2568C22semidirect
138. #2568C22semidirect
139. #2566C22semidirect
140. #2563C22semidirect
141. #2551C22semidirect
142. #2550C22semidirect
150. #2548C22semidirect
151. #2548C22semidirect
152. #2545C22semidirect
154. #2544C22semidirect
155. #2542C22semidirect
158. #2533C22semidirect
159. #2527C22semidirect
162. #2514C22semidirect
163. #2513C22semidirect
164. #2513C22semidirect
165. #2509C22semidirect
166. #2500C22semidirect
167. #2500C22semidirect
170. #2496C22semidirect
171. #2492C22semidirect
172. #2492C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2491C22semidirect
177. #2490C22semidirect
185. #2476C22semidirect
186. #2475C22semidirect
189. #2464C22semidirect
191. #2460C22semidirect
192. #2460C22semidirect
193. #2459C22semidirect
194. #2458C22semidirect
195. #2458C22semidirect
196. #2458C22semidirect
197. #2454C22semidirect
198. #2452C22semidirect
199. #2452C22semidirect
200. #2452C22semidirect
201. #2448C22semidirect
202. #2448C22semidirect
203. #2447C22semidirect
204. #2447C22semidirect
205. #2447C22semidirect
206. #2447C22semidirect
207. #2446C22semidirect
208. #2446C22semidirect
212. #2445C22semidirect
214. #2439C22semidirect
220. #2432C22semidirect
221. #2432C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
226. #2431C22semidirect
227. #2431C22semidirect
232. #2427C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
239. #2420C22semidirect
240. #2420C22semidirect
244. #2414C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
255. #2398C22semidirect
257. #2377C22semidirect
258. #2367C22semidirect
259. #2367C22semidirect
261. #2365C22semidirect
262. #2363C22semidirect
263. #2363C22semidirect
264. #2362C22semidirect
265. #2357C22semidirect
266. #2355C22semidirect
267. #2354C22semidirect
268. #2341C22semidirect
272. #2337C22semidirect
273. #2328C22semidirect
274. #2326C22semidirect
275. #2326C22semidirect
276. #2326C22semidirect
278. #2319C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
284. C4×#126C22semidirect
285. C4×#124C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
291. #2297C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2295C22semidirect
296. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#596402
#591242
#590782
#565072
#554342
#553352
#531162
#530802
#484912
#460502
#455942
#454042
#451712
#428932
#426732
#426272
#425752
#400332
#397892
#397712
#397652
#397242
#391742
#389412
#380942
#376292
#373712
#373362
#364732
#364102
#361212
#352852
#351902
#348032
#347202