Finite Group Databasebeta

← #8174528

Subgroups — #8174528

Order 512.

5347 conjugacy classes of subgroups.

The subgroup lattice has 1883 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59303C211yesmaximal, characteristic, complemented
2#59302C211yesmaximal, characteristic, complemented
3#59066C211yesmaximal, characteristic, complemented
4#59051C211yesmaximal, characteristic, complemented
5#58364C214yesmaximal, complemented
6#58294C214yesmaximal, complemented
7#54190C214yesmaximal, complemented
8#53828C214yesmaximal, complemented
9#53102C212yesmaximal, complemented
10#53063C212yesmaximal, complemented
11#53051C212yesmaximal, complemented
12#52971C212yesmaximal, complemented
13#45374C212yesmaximal, complemented
14#45257C212yesmaximal, complemented
15#42927C212yesmaximal, complemented
16#42685C212yesmaximal, complemented
17#42608C212yesmaximal, complemented
18#42556C212yesmaximal, complemented
19#42522C212yesmaximal, complemented
20#42471C212yesmaximal, complemented
21#39735C211yesmaximal, characteristic, complemented
22#39735C211yesmaximal, characteristic, complemented
23#39734C211yesmaximal, characteristic, complemented
24#39481C211yesmaximal, characteristic, complemented
25#39138C211yesmaximal, characteristic, complemented
26#38920C211yesmaximal, characteristic, complemented
27#37657C212yesmaximal, complemented
28#37656C212yesmaximal, complemented
29#37455C212yesmaximal, complemented
30#37285C212yesmaximal, complemented
31#36101C211yesmaximal, characteristic, complemented
32#36100C211yesmaximal, characteristic, complemented
33#35273C211yesmaximal, characteristic, complemented
34#34935C211yesmaximal, characteristic, complemented
35#34614C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic
39C2×#547C2212yescomplemented
40C2×#537C2212yes—
41C2×#532C2211yescharacteristic, complemented
42C2×#529C2211yescharacteristic, complemented
43C2×#525C2212yes—
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic, complemented
52#2848C2212yes—
53#2847C2212yes—
54#2829C2214yes—
55#2829C2214yescomplemented
56#2828C2214yes—
57#2828C2214yescomplemented
58#2827C2214yescomplemented
59#2826C2214yescomplemented
60#2825C2214yes—
61#2825C2214yes—
62#2818C2214yes—
63#2813C2214yes—
64#2812C2214yes—
65#2812C2214yes—
66#2797C2214yescomplemented
67#2796C2214yescomplemented
68#2795C2214yescomplemented
69#2795C2214yescomplemented
70#2793C2214yescomplemented
71#2790C2214yescomplemented
72#2787C2214yescomplemented
73#2786C2214yescomplemented
74#2786C2214yescomplemented
75#2781C2214yescomplemented
76#2781C2214yescomplemented
77#2780C2214yescomplemented
78#2778C2214yescomplemented
79#2773C2214yescomplemented
80#2766C2214yescomplemented
81#2761C2214yes—
82#2757C2214yescomplemented
83#2756C2214yes—
84#2753C2214yescomplemented
85#2753C2214yescomplemented
86#2750C2214yes—
87#2747C2214yes—
88#2741C2214yescomplemented
89#2718C2214yescomplemented
90#2714C2214yescomplemented
91#2709C2214yescomplemented
92#2709C2214yescomplemented
93#2708C2214yescomplemented
94#2706C2214yescomplemented
95#2705C2214yescomplemented
96#2703C2214yes—
97#2703C2214yescomplemented
98#2697C2214yes—
99#2695C2214yescomplemented
100#2685C2214yes—
101#2681C2214yescomplemented
102#2680C2214yescomplemented
103#2678C2214yes—
104#2673C2214yes—
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2669C2214yes—
112#2669C2214yes—
113#2668C2214yes—
114#2648C2214yescomplemented
115#2648C2214yescomplemented
116#2637C2212yescomplemented
117#2636C2212yes—
118#2630C2212yes—
119#2630C2214yescomplemented
120#2630C2214yescomplemented
121#2630C2212yescomplemented
122#2630C2214yescomplemented
123#2630C2214yescomplemented
124#2630C2214yescomplemented
125#2629C2211yescharacteristic
126#2629C2211yescharacteristic, complemented
127#2625C2211yescharacteristic, complemented
128#2624C2212yes—
129#2624C2212yes—
130#2624C2211yescharacteristic, complemented
131#2621C2212yes—
132#2620C2211yescharacteristic
133#2620C2212yes—
134#2620C2211yescharacteristic, complemented
135#2620C2212yescomplemented
136#2619C2212yes—
137#2619C2212yes—
138#2619C2212yes—
139#2618C2214yescomplemented
140#2616C2211yescharacteristic
141#2615C2211yescharacteristic
142#2600C2214yes—
143#2600C2214yes—
144#2591C2214yescomplemented
145#2579C2214yescomplemented
146#2571C2211yescharacteristic, complemented
147#2571C2211yescharacteristic, complemented
148#2570C2212yescomplemented
149#2570C2212yescomplemented
150#2546C2211yescharacteristic, complemented
151#2542C2211yescharacteristic
152#2542C2212yescomplemented
153#2541C2211yescharacteristic
154#2541C2212yes—
155#2541C2212yes—
156#2541C2212yescomplemented
157#2541C2211yescharacteristic, complemented
158#2538C2211yescharacteristic
159#2538C2211yescharacteristic
160#2538C2211yescharacteristic
161#2538C2212yescomplemented
162#2538C2212yescomplemented
163#2537C2211yescharacteristic
164#2537C2212yes—
165#2537C2211yescharacteristic
166#2537C2211yescharacteristic
167#2537C2212yes—
168#2536C2212yes—
169#2536C2212yescomplemented
170#2535C2212yes—
171#2535C2212yes—
172#2535C2212yescomplemented
173#2535C2212yescomplemented
174#2534C2212yes—
175#2534C2212yes—
176#2518C2214yescomplemented
177#2514C2212yescomplemented
178#2513C2212yes—
179#2513C2212yescomplemented
180#2513C2212yescomplemented
181#2512C2212yes—
182#2507C2212yescomplemented
183#2507C2212yescomplemented
184#2504C2212yes—
185#2500C2212yes—
186#2500C2212yescomplemented
187#2500C2212yescomplemented
188#2500C2212yescomplemented
189#2499C2212yescomplemented
190#2499C2212yescomplemented
191#2497C2212yescomplemented
192#2497C2212yescomplemented
193#2496C2212yescomplemented
194#2495C2212yes—
195#2494C2212yes—
196#2490C2212yescomplemented
197#2489C2212yescomplemented
198#2487C2212yescomplemented
199#2486C2211yescharacteristic
200#2486C2211yescharacteristic
201#2481C2214yescomplemented
202#2464C2214yes—
203#2464C2214yescomplemented
204#2463C2214yescomplemented
205#2456C2214yes—
206#2456C2214yes—
207#2456C2214yescomplemented
208#2455C2214yes—
209#2449C2214yescomplemented
210#2446C2212yescomplemented
211#2445C2212yes—
212#2445C2212yes—
213#2445C2212yes—
214#2445C2212yescomplemented
215#2443C2214yes—
216#2443C2214yescomplemented
217#2433C2212yes—
218#2432C2212yescomplemented
219#2432C2212yescomplemented
220#2431C2212yescomplemented
221#2431C2212yescomplemented
222#2428C2212yes—
223#2428C2212yes—
224#2428C2214yescomplemented
225#2427C2212yescomplemented
226#2426C2212yescomplemented
227#2424C2214yes—
228#2423C2212yescomplemented
229#2422C2212yes—
230#2422C2214yes—
231#2422C2212yescomplemented
232#2422C2212yescomplemented
233#2422C2212yescomplemented
234#2418C2214yes—
235#2417C2212yescomplemented
236#2416C2212yes—
237#2416C2212yes—
238#2416C2212yes—
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2415C2212yes—
244#2415C2212yescomplemented
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yescomplemented
249#2408C2212yes—
250#2408C2211yescharacteristic
251#2408C2211yescharacteristic
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2396C2212yescomplemented
259#2392C2212yes—
260#2392C2212yes—
261#2392C2212yes—
262#2392C2212yes—
263#2392C2212yescomplemented
264#2366C2212yes—
265#2366C2211yescharacteristic, complemented
266#2365C2211yescharacteristic, complemented
267#2361C2212yes—
268#2361C2212yes—
269#2361C2212yescomplemented
270#2355C2211yescharacteristic, complemented
271#2354C2211yescharacteristic
272#2354C2211yescharacteristic
273#2354C2211yescharacteristic, complemented
274#2352C2212yescomplemented
275#2352C2212yescomplemented
276#2352C2212yescomplemented
277D4×C4⋊C4C2212yes—
278D4×C4⋊C4C2212yescomplemented
279#2345C2212yescomplemented
280#2324C2212yes—
281#2324C2212yescomplemented
282#2324C2212yescomplemented
283#2323C2212yes—
284#2317C2212yescomplemented
285#2314C2212yescomplemented
286#2311C2212yescomplemented
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294C4×#121C2211yescharacteristic, complemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297C2×#384C2211yescharacteristic, complemented
298#2280C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#550—44no—
306#550—48no—
307#547—44no—
308#547—48no—
309#537—48no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2314yes—
318C2×#127C2314yes—
319#529—44no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325#525—48no—
326#525—48no—
327#525—48no—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#120C2312yes—
384C2×#120C2314yes—
385C2×#120C2312yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C4×#41—44no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×D4—44no—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2314yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2314yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2311yescharacteristic
432C2×#117C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2314yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443#401C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#399C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2312yes—
495#396C2314yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2314yes—
501#396C2312yes—
502#396C2312yes—
503#396C2314yes—
504#396C2312yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2312yes—
510#396C2312yes—
511#396C2312yes—
512#396C2314yes—
513#395C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#393C2312yes—
563#392C2312yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2312yes—
581#392C2312yes—
582#392C2312yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2314yes—
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#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
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#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#384C2312yes—
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2314yes—
747#384C2312yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2312yes—
752#383C2314yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2314yes—
759#382C2312yes—
760#382C2312yes—
761#381C2312yes—
762#381C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2312yes—
795#379C2314yes—
796#379C2312yes—
797#379C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×D4—42no—
839C22×D4—42no—
840C22×D4—42no—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C23×C4—28no—
870C23×C4—44no—
871C23×C4—44no—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C4⋊Q8—24no—
893C4⋊Q8—44no—
894#127—24no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—48no—
899#127—84no—
900#126—44no—
901#126—84no—
902#125—42no—
903#124—42no—
904#124—44no—
905#123—48no—
906#123—44no—
907#123—48no—
908#123—48no—
909#123—48no—
910#123—44no—
911#123—48no—
912#123—44no—
913#123—84no—
914#123—84no—
915C22⋊Q8—24no—
916C22⋊Q8—28no—
917C22⋊Q8—24no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—48no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—42no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927#121—24no—
928#121—28no—
929#121—24no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—42no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—42no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—84no—
958#121—82no—
959#121—82no—
960#120—44no—
961#120—48no—
962#120—48no—
963#120—44no—
964#120—84no—
965C4×Q8—24no—
966C4×Q8—42no—
967C4×Q8—42no—
968C4×Q8—44no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—44no—
975C4×D4—42no—
976C4×D4—42no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—42no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—48no—
999#117—44no—
1000#117—42no—
1001#117—42no—
1002#117—42no—
1003#117—44no—
1004#117—44no—
1005#117—44no—
1006#117—44no—
1007#117—44no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4—42no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4—48no—
1013C2×C4⋊C4—82no—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C22⋊C4—44no—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—24no—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2411yescharacteristic
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—24no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2512yes—
1239C24C2514yes—
1240C24C2511yescharacteristic
1241C24C2511yescharacteristic
1242C24C2511yescharacteristic
1243#41—416no—
1244#41—816no—
1245#41—816no—
1246#41—816no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—24no—
1255C2×Q8—41no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—42no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—416no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—28no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—816no—
1400C22×C4H(5,𝔽2)14yes—
1401C22×C4H(5,𝔽2)14yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2514yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—24no—
1581C42—24no—
1582C42—24no—
1583C42—24no—
1584C42—24no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42—44no—
1590C42H(5,𝔽2)14yes—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—21no—
1612C23—22no—
1613C23—22no—
1614C23—21no—
1615C23—21no—
1616C23—24no—
1617C23—24no—
1618C23—21no—
1619C23—24no—
1620C23—22no—
1621C23—22no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—24no—
1631C23—22no—
1632C23—21no—
1633C23—22no—
1634C23—24no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—48no—
1639C23—84no—
1640C23—84no—
1641C23—84no—
1642C23—84no—
1643C23—84no—
1644C23—84no—
1645C23C2×H(5,𝔽2)12yes—
1646C23C2×H(5,𝔽2)12yes—
1647C23C2611yescharacteristic
1648Q8—44no—
1649Q8—44no—
1650Q8—48no—
1651D4—44no—
1652D4—44no—
1653D4—44no—
1654D4—48no—
1655D4—48no—
1656D4—44no—
1657D4—48no—
1658D4—48no—
1659D4—44no—
1660D4—44no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—88no—
1665D4—84no—
1666D4—88no—
1667D4—84no—
1668D4—88no—
1669D4—84no—
1670D4—88no—
1671D4—84no—
1672D4—88no—
1673D4—88no—
1674D4—88no—
1675D4—164no—
1676D4—164no—
1677D4—164no—
1678D4—164no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—28no—
1686C2×C4—28no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—44no—
1757C2×C4—48no—
1758C2×C4—48no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—82no—
1765C2×C4—82no—
1766C2×C4—84no—
1767C2×C4—84no—
1768C2×C4—88no—
1769C2×C4—84no—
1770C2×C4—88no—
1771C2×C4—88no—
1772C2×C4—88no—
1773C2×C4—164no—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4#58512yes—
1782C2×C4#58512yes—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—42no—
1798C22—42no—
1799C22—41no—
1800C22—44no—
1801C22—42no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—42no—
1806C22—44no—
1807C22—41no—
1808C22—44no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—44no—
1815C22—41no—
1816C22—42no—
1817C22—44no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—44no—
1825C22—41no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—42no—
1830C22—44no—
1831C22—42no—
1832C22—816no—
1833C22C22×H(5,𝔽2)11yescharacteristic
1834C22C22×H(5,𝔽2)11yescharacteristic
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C2×#58511yescharacteristic
1837C22C2×#58511yescharacteristic
1838C22H(7,𝔽2)11yescharacteristic
1839C222−1+611yescharacteristic
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—42no—
1844C4—42no—
1845C4—41no—
1846C4—42no—
1847C4—44no—
1848C4—41no—
1849C4—41no—
1850C4—42no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—44no—
1863C4—44no—
1864C4—42no—
1865C4—42no—
1866C4#353714yes—
1867C4#353914yes—
1868C2—42no—
1869C2—42no—
1870C2—81no—
1871C2—82no—
1872C2—84no—
1873C2—82no—
1874C2—82no—
1875C2C2×#353711yescharacteristic
1876C2C2×#353911yescharacteristic
1877C2#6287511yescharacteristic
1878C2#6292511yescharacteristic
1879C2#6293011yescharacteristic
1880C2#6295511yescharacteristic
1881C2#6296011yescharacteristic
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. #59303C2semidirect
2. #59302C2semidirect
3. #59066C2semidirect
4. #59051C2semidirect
5. #58364C2semidirect
6. #58294C2semidirect
7. #54190C2semidirect
8. #53828C2semidirect
9. #53102C2semidirect
10. #53063C2semidirect
11. #53051C2semidirect
12. #52971C2semidirect
13. #45374C2semidirect
14. #45257C2semidirect
15. #42927C2semidirect
16. #42685C2semidirect
17. #42608C2semidirect
18. #42556C2semidirect
19. #42522C2semidirect
20. #42471C2semidirect
21. #39735C2semidirect
22. #39735C2semidirect
23. #39734C2semidirect
24. #39481C2semidirect
25. #39138C2semidirect
26. #38920C2semidirect
27. #37657C2semidirect
28. #37656C2semidirect
29. #37455C2semidirect
30. #37285C2semidirect
31. #36101C2semidirect
32. #36100C2semidirect
33. #35273C2semidirect
34. #34935C2semidirect
35. #34614C2semidirect
37. C2×#550C22semidirect
39. C2×#547C22semidirect
41. C2×#532C22semidirect
42. C2×#529C22semidirect
49. #2857C22semidirect
51. #2856C22semidirect
55. #2829C22semidirect
57. #2828C22semidirect
58. #2827C22semidirect
59. #2826C22semidirect
66. #2797C22semidirect
67. #2796C22semidirect
68. #2795C22semidirect
69. #2795C22semidirect
70. #2793C22semidirect
71. #2790C22semidirect
72. #2787C22semidirect
73. #2786C22semidirect
74. #2786C22semidirect
75. #2781C22semidirect
76. #2781C22semidirect
77. #2780C22semidirect
78. #2778C22semidirect
79. #2773C22semidirect
80. #2766C22semidirect
82. #2757C22semidirect
84. #2753C22semidirect
85. #2753C22semidirect
88. #2741C22semidirect
89. #2718C22semidirect
90. #2714C22semidirect
91. #2709C22semidirect
92. #2709C22semidirect
93. #2708C22semidirect
94. #2706C22semidirect
95. #2705C22semidirect
97. #2703C22semidirect
99. #2695C22semidirect
101. #2681C22semidirect
102. #2680C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
114. #2648C22semidirect
115. #2648C22semidirect
116. #2637C22semidirect
119. #2630C22semidirect
120. #2630C22semidirect
121. #2630C22semidirect
122. #2630C22semidirect
123. #2630C22semidirect
124. #2630C22semidirect
126. #2629C22semidirect
127. #2625C22semidirect
130. #2624C22semidirect
134. #2620C22semidirect
135. #2620C22semidirect
139. #2618C22semidirect
144. #2591C22semidirect
145. #2579C22semidirect
146. #2571C22semidirect
147. #2571C22semidirect
148. #2570C22semidirect
149. #2570C22semidirect
150. #2546C22semidirect
152. #2542C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
161. #2538C22semidirect
162. #2538C22semidirect
169. #2536C22semidirect
172. #2535C22semidirect
173. #2535C22semidirect
176. #2518C22semidirect
177. #2514C22semidirect
179. #2513C22semidirect
180. #2513C22semidirect
182. #2507C22semidirect
183. #2507C22semidirect
186. #2500C22semidirect
187. #2500C22semidirect
188. #2500C22semidirect
189. #2499C22semidirect
190. #2499C22semidirect
191. #2497C22semidirect
192. #2497C22semidirect
193. #2496C22semidirect
196. #2490C22semidirect
197. #2489C22semidirect
198. #2487C22semidirect
201. #2481C22semidirect
203. #2464C22semidirect
204. #2463C22semidirect
207. #2456C22semidirect
209. #2449C22semidirect
210. #2446C22semidirect
214. #2445C22semidirect
216. #2443C22semidirect
218. #2432C22semidirect
219. #2432C22semidirect
220. #2431C22semidirect
221. #2431C22semidirect
224. #2428C22semidirect
225. #2427C22semidirect
226. #2426C22semidirect
228. #2423C22semidirect
231. #2422C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
235. #2417C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
244. #2415C22semidirect
248. #2414C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2396C22semidirect
263. #2392C22semidirect
265. #2366C22semidirect
266. #2365C22semidirect
269. #2361C22semidirect
270. #2355C22semidirect
273. #2354C22semidirect
274. #2352C22semidirect
275. #2352C22semidirect
276. #2352C22semidirect
278. D4×C4⋊C4C22semidirect
279. #2345C22semidirect
281. #2324C22semidirect
282. #2324C22semidirect
284. #2317C22semidirect
285. #2314C22semidirect
286. #2311C22semidirect
288. C4×C22⋊Q8C22semidirect
294. C4×#121C22semidirect
296. #2285C22semidirect
297. C2×#384C22semidirect

Maximal subgroups

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

subgroupindex
#593032
#593022
#590662
#590512
#583642
#582942
#541902
#538282
#531022
#530632
#530512
#529712
#453742
#452572
#429272
#426852
#426082
#425562
#425222
#424712
#397352
#397342
#394812
#391382
#389202
#376572
#376562
#374552
#372852
#361012
#361002
#352732
#349352
#346142