Finite Group Databasebeta

← #8095109

Subgroups — #8095109

Order 512.

4834 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53154C212yesmaximal, complemented
2#53126C212yesmaximal, complemented
3#53068C212yesmaximal, complemented
4#53056C212yesmaximal, complemented
5#53037C212yesmaximal, complemented
6#53025C212yesmaximal, complemented
7#52995C212yesmaximal, complemented
8#52959C212yesmaximal, complemented
9#52585C214yesmaximal, complemented
10#52547C214yesmaximal, complemented
11#46074C212yesmaximal, complemented
12#46057C212yesmaximal, complemented
13#46044C212yesmaximal, complemented
14#46013C212yesmaximal, complemented
15#45710C212yesmaximal, complemented
16#45682C212yesmaximal, complemented
17#45670C212yesmaximal, complemented
18#45603C212yesmaximal, complemented
19#45549C214yesmaximal, complemented
20#45548C214yesmaximal, complemented
21#35619C211yesmaximal, characteristic, complemented
22#35617C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic
26#35529C211yesmaximal, characteristic, complemented
27#35327C211yesmaximal, characteristic, complemented
28#35312C211yesmaximal, characteristic, complemented
29#35264C211yesmaximal, characteristic, complemented
30#35257C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#35154C211yesmaximal, characteristic, complemented
33#34948C211yesmaximal, characteristic, complemented
34#34744C211yesmaximal, characteristic, complemented
35C2×#2448C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#518C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48#2862C2212yescomplemented
49#2861C2212yes—
50#2861C2212yescomplemented
51#2858C2212yes—
52#2857C2212yescomplemented
53#2855C2214yes—
54#2854C2214yes—
55#2851C2212yescomplemented
56#2850C2212yes—
57#2850C2212yes—
58#2841C2214yescomplemented
59#2837C2214yescomplemented
60#2837C2214yescomplemented
61#2837C2214yescomplemented
62#2836C2214yescomplemented
63#2836C2214yescomplemented
64#2832C2214yescomplemented
65#2831C2214yescomplemented
66#2831C2214yescomplemented
67#2830C2214yescomplemented
68#2829C2214yescomplemented
69#2829C2214yescomplemented
70#2827C2214yescomplemented
71#2827C2214yescomplemented
72#2827C2214yescomplemented
73#2826C2214yescomplemented
74#2824C2214yescomplemented
75#2820C2214yescomplemented
76#2816C2214yescomplemented
77#2814C2214yescomplemented
78#2808C2214yescomplemented
79#2800C2214yescomplemented
80#2798C2214yescomplemented
81#2788C2214yescomplemented
82#2786C2214yescomplemented
83#2783C2214yescomplemented
84#2781C2214yescomplemented
85#2779C2214yescomplemented
86#2779C2214yescomplemented
87#2772C2214yescomplemented
88#2768C2214yescomplemented
89#2761C2214yescomplemented
90#2761C2214yescomplemented
91#2754C2214yescomplemented
92#2751C2214yescomplemented
93#2750C2214yescomplemented
94#2747C2214yescomplemented
95#2744C2214yescomplemented
96#2743C2214yescomplemented
97#2743C2214yescomplemented
98#2741C2214yescomplemented
99#2740C2214yescomplemented
100#2739C2214yescomplemented
101#2732C2214yescomplemented
102#2730C2214yescomplemented
103#2711C2214yescomplemented
104#2710C2214yescomplemented
105#2708C2214yescomplemented
106#2706C2214yescomplemented
107#2704C2214yescomplemented
108#2701C2214yescomplemented
109#2700C2214yescomplemented
110#2700C2214yescomplemented
111#2696C2214yescomplemented
112#2694C2214yescomplemented
113#2692C2214yescomplemented
114#2687C2214yescomplemented
115#2686C2214yescomplemented
116#2681C2214yescomplemented
117#2672C2214yescomplemented
118#2642C2212yescomplemented
119#2641C2212yes—
120#2640C2212yes—
121#2640C2212yescomplemented
122#2629C2212yescomplemented
123#2628C2212yescomplemented
124#2627C2214yes—
125#2620C2212yes—
126#2620C2212yes—
127#2618C2214yes—
128#2571C2211yescharacteristic, complemented
129#2571C2211yescharacteristic, complemented
130#2570C2211yescharacteristic, complemented
131#2570C2211yescharacteristic, complemented
132#2570C2211yescharacteristic, complemented
133#2570C2211yescharacteristic, complemented
134#2569C2212yes—
135#2569C2212yes—
136#2566C2212yes—
137#2566C2212yes—
138#2564C2214yes—
139#2563C2212yes—
140#2552C2211yescharacteristic, complemented
141#2552C2211yescharacteristic, complemented
142#2548C2212yes—
143#2548C2212yescomplemented
144#2547C2212yes—
145#2547C2212yes—
146#2546C2212yescomplemented
147#2545C2212yes—
148#2545C2212yes—
149#2545C2212yes—
150#2545C2212yescomplemented
151#2545C2212yescomplemented
152#2544C2212yes—
153#2544C2212yes—
154#2544C2212yes—
155#2544C2212yes—
156#2544C2212yes—
157#2542C2212yes—
158#2541C2212yes—
159#2538C2212yescomplemented
160#2538C2212yescomplemented
161#2536C2212yescomplemented
162#2536C2212yescomplemented
163#2534C2214yes—
164#2534C2214yes—
165#2503C2212yescomplemented
166#2502C2212yescomplemented
167#2499C2212yescomplemented
168#2499C2212yescomplemented
169#2492C2212yescomplemented
170#2492C2212yescomplemented
171#2491C2212yes—
172#2491C2212yes—
173#2490C2212yes—
174#2490C2212yes—
175#2489C2212yescomplemented
176#2489C2212yescomplemented
177#2488C2214yes—
178#2488C2214yes—
179#2472C2214yes—
180#2472C2214yes—
181#2454C2212yes—
182#2454C2212yes—
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2453C2212yescomplemented
186#2453C2212yescomplemented
187#2453C2212yescomplemented
188#2453C2212yescomplemented
189#2453C2212yescomplemented
190#2453C2212yescomplemented
191#2452C2212yes—
192#2452C2212yes—
193#2452C2212yescomplemented
194#2452C2212yescomplemented
195#2451C2212yescomplemented
196#2451C2212yescomplemented
197#2451C2212yescomplemented
198#2451C2212yescomplemented
199#2451C2212yescomplemented
200#2451C2212yescomplemented
201#2450C2214yes—
202#2449C2214yes—
203#2448C2212yes—
204#2448C2212yes—
205#2448C2212yes—
206#2448C2212yes—
207#2448C2212yes—
208#2448C2212yes—
209#2448C2212yes—
210#2448C2212yes—
211#2448C2211yescharacteristic, complemented
212#2448C2211yescharacteristic, complemented
213#2447C2212yes—
214#2447C2212yes—
215#2447C2212yescomplemented
216#2447C2212yescomplemented
217#2447C2211yescharacteristic, complemented
218#2447C2211yescharacteristic, complemented
219#2446C2212yescomplemented
220#2446C2212yescomplemented
221#2446C2211yescharacteristic, complemented
222#2446C2211yescharacteristic, complemented
223#2445C2212yes—
224#2445C2212yes—
225#2445C2211yescharacteristic, complemented
226#2445C2211yescharacteristic, complemented
227#2444C2212yes—
228#2444C2212yes—
229#2443C2212yes—
230#2443C2212yes—
231#2442C2212yes—
232#2442C2212yes—
233#2442C2212yescomplemented
234#2441C2212yescomplemented
235#2440C2212yescomplemented
236#2439C2212yescomplemented
237#2437C2214yes—
238#2437C2214yes—
239#2427C2212yes—
240#2427C2212yes—
241#2427C2212yes—
242#2427C2212yes—
243#2424C2214yes—
244#2424C2214yes—
245#2422C2212yes—
246#2422C2212yes—
247#2420C2212yes—
248#2420C2212yes—
249#2419C2214yes—
250#2419C2214yes—
251#2417C2214yes—
252#2416C2212yes—
253#2416C2212yes—
254#2414C2212yes—
255#2414C2212yes—
256#2412C2214yes—
257#2412C2214yes—
258#2412C2214yes—
259#2412C2214yes—
260#2402C2212yescomplemented
261#2402C2212yescomplemented
262#2395C2212yescomplemented
263#2395C2212yescomplemented
264C2×#399C2212yes—
265C2×#397C2212yes—
266#2379C2214yescomplemented
267#2378C2214yescomplemented
268#2377C2214yescomplemented
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2316C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2310C2211yescharacteristic
276#2310C2211yescharacteristic
277#2309C2211yescharacteristic
278C4×#125C2212yescomplemented
279C4×#125C2212yescomplemented
280C4×#123C2212yescomplemented
281C4×#123C2212yescomplemented
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#388C2212yes—
293C2×#388C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×D4C2311yescharacteristic
303#544—44no—
304#544—44no—
305#536—44no—
306#536—44no—
307#535—44no—
308#535—44no—
309#532—44no—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124—44no—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365#520—44no—
366#518—44no—
367C4×#41—44no—
368C2×C4×Q8—44no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414C22×C42C2312yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2312yes—
444#399C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#392C2314yes—
550#392C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2311yescharacteristic
567#391C2312yes—
568#391C2311yescharacteristic
569#391C2314yes—
570#391C2314yes—
571#391C2311yescharacteristic
572#391C2312yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2314yes—
594#390C2311yescharacteristic
595#390C2314yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2314yes—
629#389C2314yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
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#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#382C2312yes—
743#382C2312yes—
744#382C2311yescharacteristic
745#382C2312yes—
746#382C2314yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#382C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2312yes—
760#381C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2312yes—
781#380C2314yes—
782#379C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2414yes—
837C22×Q8C2414yes—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877#127—42no—
878#127—44no—
879#127—44no—
880#125—44no—
881#125—44no—
882#125—44no—
883#125—44no—
884#125—44no—
885#125—44no—
886#124—48no—
887#124—44no—
888#124—44no—
889#124—44no—
890#124—44no—
891#124—42no—
892#124—42no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—44no—
897#124—84no—
898#123—48no—
899#123—44no—
900#123—48no—
901#123—48no—
902#123—44no—
903#123—84no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—84no—
912C22⋊Q8—84no—
913C22⋊Q8—84no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—84no—
922#120—48no—
923#120—48no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—42no—
929C4×Q8—42no—
930C4×Q8—44no—
931C4×D4—42no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943#117—24no—
944#117—24no—
945#117—24no—
946#117—24no—
947#117—24no—
948#117—24no—
949#117—44no—
950#117—44no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—42no—
954C2×C4⋊C4—42no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—82no—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—44no—
1031C2×C22⋊C4—48no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—44no—
1034C2×C22⋊C4—82no—
1035C2×C22⋊C4—82no—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C42—24no—
1094C2×C42—24no—
1095C2×C42—24no—
1096C2×C42—44no—
1097C2×C42—44no—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
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#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
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#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24—24no—
1198C24—24no—
1199C24—24no—
1200C24—42no—
1201C24—42no—
1202C24—42no—
1203C24—42no—
1204C24C2514yes—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208#41—416no—
1209#41—416no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—416no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—416no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4H(5,𝔽2)14yes—
1315C22×C4H(5,𝔽2)14yes—
1316C22×C42−1+414yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—42no—
1496C42—42no—
1497C42—44no—
1498C42—44no—
1499C42—42no—
1500C42—44no—
1501C42—42no—
1502C42—42no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—22no—
1508C23—24no—
1509C23—22no—
1510C23—22no—
1511C23—24no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—24no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—24no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—48no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23—84no—
1535C23C2×H(5,𝔽2)12yes—
1536C23C2×H(5,𝔽2)12yes—
1537C23C2×2−1+412yes—
1538C23C2611yescharacteristic
1539Q8—48no—
1540Q8—48no—
1541Q8—44no—
1542Q8—44no—
1543Q8—164no—
1544Q8—164no—
1545D4—48no—
1546D4—48no—
1547D4—48no—
1548D4—48no—
1549D4—44no—
1550D4—44no—
1551D4—84no—
1552D4—84no—
1553D4—164no—
1554D4—164no—
1555D4—164no—
1556D4—164no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—82no—
1648C2×C4—82no—
1649C2×C4—82no—
1650C2×C4—82no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—164no—
1656C2×C4—164no—
1657C2×C4—164no—
1658C2×C4#562116yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4#58512yes—
1666C2×C4#58512yes—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—42no—
1674C22—42no—
1675C22—44no—
1676C22—42no—
1677C22—42no—
1678C22—44no—
1679C22—44no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—42no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—168no—
1695C22C2×#56214yes—
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C22×2−1+411yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22C2×#58511yescharacteristic
1701C22H(7,𝔽2)11yescharacteristic
1702C222−1+611yescharacteristic
1703C4—22no—
1704C4—22no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—44no—
1715C4—41no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—44no—
1725C4—42no—
1726C4—42no—
1727C4—44no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4C2×#56214yes—
1733C4C2×#56214yes—
1734C2—24no—
1735C2—82no—
1736C2—82no—
1737C2—84no—
1738C2C22×#56211yescharacteristic
1739C2#6283111yescharacteristic
1740C2#6287911yescharacteristic
1741C2#6293111yescharacteristic
1742C2#6295411yescharacteristic
1743C2#6295511yescharacteristic
1744C2#6296111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35533C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53154C2semidirect
2. #53126C2semidirect
3. #53068C2semidirect
4. #53056C2semidirect
5. #53037C2semidirect
6. #53025C2semidirect
7. #52995C2semidirect
8. #52959C2semidirect
9. #52585C2semidirect
10. #52547C2semidirect
11. #46074C2semidirect
12. #46057C2semidirect
13. #46044C2semidirect
14. #46013C2semidirect
15. #45710C2semidirect
16. #45682C2semidirect
17. #45670C2semidirect
18. #45603C2semidirect
19. #45549C2semidirect
20. #45548C2semidirect
21. #35619C2semidirect
22. #35617C2semidirect
23. #35575C2semidirect
24. #35541C2semidirect
26. #35529C2semidirect
27. #35327C2semidirect
28. #35312C2semidirect
29. #35264C2semidirect
30. #35257C2semidirect
31. #35178C2semidirect
32. #35154C2semidirect
33. #34948C2semidirect
34. #34744C2semidirect
35. C2×#2448C2semidirect
48. #2862C22semidirect
50. #2861C22semidirect
52. #2857C22semidirect
55. #2851C22semidirect
58. #2841C22semidirect
59. #2837C22semidirect
60. #2837C22semidirect
61. #2837C22semidirect
62. #2836C22semidirect
63. #2836C22semidirect
64. #2832C22semidirect
65. #2831C22semidirect
66. #2831C22semidirect
67. #2830C22semidirect
68. #2829C22semidirect
69. #2829C22semidirect
70. #2827C22semidirect
71. #2827C22semidirect
72. #2827C22semidirect
73. #2826C22semidirect
74. #2824C22semidirect
75. #2820C22semidirect
76. #2816C22semidirect
77. #2814C22semidirect
78. #2808C22semidirect
79. #2800C22semidirect
80. #2798C22semidirect
81. #2788C22semidirect
82. #2786C22semidirect
83. #2783C22semidirect
84. #2781C22semidirect
85. #2779C22semidirect
86. #2779C22semidirect
87. #2772C22semidirect
88. #2768C22semidirect
89. #2761C22semidirect
90. #2761C22semidirect
91. #2754C22semidirect
92. #2751C22semidirect
93. #2750C22semidirect
94. #2747C22semidirect
95. #2744C22semidirect
96. #2743C22semidirect
97. #2743C22semidirect
98. #2741C22semidirect
99. #2740C22semidirect
100. #2739C22semidirect
101. #2732C22semidirect
102. #2730C22semidirect
103. #2711C22semidirect
104. #2710C22semidirect
105. #2708C22semidirect
106. #2706C22semidirect
107. #2704C22semidirect
108. #2701C22semidirect
109. #2700C22semidirect
110. #2700C22semidirect
111. #2696C22semidirect
112. #2694C22semidirect
113. #2692C22semidirect
114. #2687C22semidirect
115. #2686C22semidirect
116. #2681C22semidirect
117. #2672C22semidirect
118. #2642C22semidirect
121. #2640C22semidirect
122. #2629C22semidirect
123. #2628C22semidirect
128. #2571C22semidirect
129. #2571C22semidirect
130. #2570C22semidirect
131. #2570C22semidirect
132. #2570C22semidirect
133. #2570C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
143. #2548C22semidirect
146. #2546C22semidirect
150. #2545C22semidirect
151. #2545C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
161. #2536C22semidirect
162. #2536C22semidirect
165. #2503C22semidirect
166. #2502C22semidirect
167. #2499C22semidirect
168. #2499C22semidirect
169. #2492C22semidirect
170. #2492C22semidirect
175. #2489C22semidirect
176. #2489C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2453C22semidirect
186. #2453C22semidirect
187. #2453C22semidirect
188. #2453C22semidirect
189. #2453C22semidirect
190. #2453C22semidirect
193. #2452C22semidirect
194. #2452C22semidirect
195. #2451C22semidirect
196. #2451C22semidirect
197. #2451C22semidirect
198. #2451C22semidirect
199. #2451C22semidirect
200. #2451C22semidirect
211. #2448C22semidirect
212. #2448C22semidirect
215. #2447C22semidirect
216. #2447C22semidirect
217. #2447C22semidirect
218. #2447C22semidirect
219. #2446C22semidirect
220. #2446C22semidirect
221. #2446C22semidirect
222. #2446C22semidirect
225. #2445C22semidirect
226. #2445C22semidirect
233. #2442C22semidirect
234. #2441C22semidirect
235. #2440C22semidirect
236. #2439C22semidirect
260. #2402C22semidirect
261. #2402C22semidirect
262. #2395C22semidirect
263. #2395C22semidirect
266. #2379C22semidirect
267. #2378C22semidirect
268. #2377C22semidirect
269. #2376C22semidirect
278. C4×#125C22semidirect
279. C4×#125C22semidirect
280. C4×#123C22semidirect
281. C4×#123C22semidirect

Maximal subgroups

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

subgroupindex
#531542
#531262
#530682
#530562
#530372
#530252
#529952
#529592
#525852
#525472
#460742
#460572
#460442
#460132
#457102
#456822
#456702
#456032
#455492
#455482
#356192
#356172
#355752
#355412
#355332
#355292
#353272
#353122
#352642
#352572
#351782
#351542
#349482
#347442
C2×#24482